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Let l(b) be the second derivative of b**4/12 + 7*b**3/6 + 7*b**2 - 7*b. Let r be l(-5). Solve -y + 6 = -r*g + 8*g, 3*y - 5 = g for y. | 2 |
Calculate 4 + -3 + 5 + -4. | 2 |
Let x = -0.026 - 0.074. What is the closest to x in -0.4, -1, 1? | -0.4 |
Let h = 1/140 + -289/1260. Let m = -324.3 + 198.4. Let o = 126 + m. Which is the nearest to -7? (a) -5 (b) o (c) h | -5 |
Calculate (-6)/15*11/(-11). | 0.4 |
Let q(l) = -l - 26. Let h(t) = 5. Let g(o) = -11*h(o) - 2*q(o). Suppose 5*z - 12*c = -56, z + 43 = 5*c + 11. Determine g(z). | 13 |
Solve 108*x - 1724 = -88*x - 156 for x. | 8 |
Let s(z) = -6 + 3 + 7*z**2 + 4 + 3*z + z**3. Let g be s(-3). Suppose -10 = 2*h - g. Calculate the remainder when 16 is divided by h. | 7 |
Let b = 3 + 1. Let w(q) = 52*q**2 + 260*q + 5. Let c be w(-5). Solve m - 22 = b*o - 2, -25 = 3*m + c*o for m. | 0 |
Suppose 3*z + 49 = 5*i - 4, -z = -5*i + 51. Suppose 14*d = -i*d + 264. Calculate the greatest common factor of d and 88. | 11 |
Let r be (5 - 6)/(5 - 0). Which is the smallest value? (a) r (b) -1/2 (c) 4/3 | -0.5 |
Solve 3*w + 9 = -3*d, -4*d = -4*w + 5*w + 18 for w. | 2 |
Suppose -2*z = -5*t - 28 - 1, 3*t - 4*z + 9 = 0. Let b(f) be the second derivative of -f**4/12 - 7*f**3/6 - 2*f. What is b(t)? | 0 |
What is 156500 to the power of 1/3, to the nearest integer? | 54 |
What is the hundred thousands digit of 368669530? | 6 |
Suppose -5*t + 65 + 0 = 5*j, 6 = 2*j - 3*t. Let n(q) = -6 - j - 2*q + 7 + 3*q**2. What is the tens digit of n(6)? | 8 |
Calculate the highest common factor of 23323469 and 2470. | 247 |
Suppose 3*t + 3*i + 156 = 0, t = -4*i - 31 - 33. Let o(c) = 5*c + c**3 - 7 + 0*c**3 + 0*c**3 - 8*c**2. Let j be o(6). Which is greater: j or t? | -48 |
What is the value of (-50)/8 + (-238)/(-272)*8? | 0.75 |
Suppose x - 2*d + 0 = -5, 4*d = -20. Let u be (-5)/(x/34) + (-13)/39. Let b(z) = z**2 - 5*z + 5. What is the tens digit of b(u)? | 7 |
What is the ten thousands digit of 1835096829? | 9 |
What is 122431609 to the power of 1/2, to the nearest integer? | 11065 |
Calculate the remainder when 15981 is divided by 11. | 9 |
Solve -2*x + 15*p - 71 = 0, -3*x = -39*p + 38*p - 1 for x. | 2 |
Let f = 14 + -8. Let y be (f/(-4))/((-15)/140). Suppose -y + 3 = -r. What are the prime factors of r? | [11] |
What is the smallest value in -5, 5, -58/5, 3, 2/7? | -11.6 |
-206632 divided by 8984 | -23.0 |
Suppose 46 = 5*o - 14. Let p be (2/(-2))/((-4)/o). What is the third derivative of 9*u**3 + p*u**2 + 0*u**4 - 9*u**3 - 4*u**4 wrt u? | -96*u |
Evaluate -3 + -8 + 2 + 4. | -5 |
What is 9597007 to the power of 1/2, to the nearest integer? | 3098 |
Let n(k) = 2*k**3 + 14*k**2 + 20*k - 2. Let f(u) = -u**3 - 7*u**2 - 9*u. Let h(t) = -9*f(t) - 4*n(t). Give h(-7). | 1 |
Calculate -1 + -3 + 7 + 4. | 7 |
What is the smallest value in -1/5, 4/7, -86, -2/13? | -86 |
Evaluate (((-2)/14)/(126/(-294)))/(9*10/10260). | 38.0 |
Suppose 0 = 3*r - 2*l - 15, 2*l + 3 = -r - 0. Let v(w) = 2*w**3 + 7*w**2 - 29*w - 46. Let o be v(-5). Calculate the highest common divisor of r and o. | 3 |
Suppose -2*c - 10 = 4*k, -3*c + 17 = -k - 3. What is the nearest to k in 2/23, -5, -1/2? | -5 |
Let f(a) = a**2 + 49*a - 766. Give f(-56). | -374 |
Let p = -6 - -9. Suppose 7*x = -1227 + 1241. Suppose -19 - 156 = -a - 2*k, p*a + x*k = 545. What is the hundreds digit of a? | 1 |
Suppose 98 = -0*w + w + 2*t, -5*w + 446 = -t. Suppose 3*o = -3*o + w. Suppose 20*q - 375 = o*q. Calculate the remainder when q is divided by 19. | 18 |
Let t = -72 + 66. Which is the third biggest value? (a) 1/3 (b) t (c) 3 | -6 |
Suppose 4*n = -2*o, -4*n = 4*o - 7*o. Solve 4*s - 2*u + 16 = o, 2*s + 2*u + 12 = -s for s. | -4 |
Let s(o) = -2 + 4*o - 3*o - 2 - 5. Determine s(6). | -3 |
Let j(q) = -5*q - 1553*q**2 + 4 + 1552*q**2 - 3. Let x be j(-5). What is the tens digit of (0 - x/6) + 3465/54? | 6 |
Solve 98 = 3*p - 20*y, 188*y - 184*y = 5*p - 1 - 45 for p. | 6 |
Suppose -2*r + 12 = -4*f, -4*r + 20 = -4*f - 0*r. Let w = -7 - -6. Let v = -0.259 - -0.059. Which is the closest to f? (a) w (b) 3 (c) v | -1 |
Which is greater: -29 or -0.1? | -0.1 |
Let i = 62.0059 - 17.0059. Let z = 7/6 + -3/2. Which is the biggest value? (a) z (b) i (c) -3 | 45.0 |
Suppose 4*x - 2*i - 1312 = 0, -2*x + 5*i + 346 = -x. What is the hundreds digit of x? | 3 |
Let q = -15 - -14. Suppose -2*j = 5*x + 4, -240*x + 241*x = 2*j + 16. Which is smaller: q or x? | -1 |
Let q(n) = 3*n**2 - 2*n - 1. Let i be q(2). Let g(t) = -153 - 2*t + 169 + t - t. Let v be g(i). Solve v*l + 10 = 4 for l. | -3 |
Let t(p) = 13*p**2 - 151*p + 151. Determine t(1). | 13 |
Evaluate (2871/3509)/((-2)/(-22)). | 9.0 |
What is the highest common factor of 80 and 3920? | 80 |
Suppose 6 = -2*y + 3*h + 13, -3*y + 4*h = -11. Suppose z - 3 = -3*z + y*i, 0 = z + i - 12. Calculate the highest common divisor of 77 and z. | 7 |
Let y(s) = -70*s - 61. Let r be y(-1). Solve -r*h + 8*h = i, -3*i + h = 20 for i. | -5 |
Let o = -186 + 240. Let d = 53 - o. Let w = -5.09 + 0.09. Which is the third biggest value? (a) d (b) -0.6 (c) w | -5.0 |
What is -2*2*231/308? | -3.0 |
Solve -f + 25*c - 102 = 0, -2*f - 2195*c = -2196*c + 8 for f. | -2 |
Suppose -2*f + 48 = 2*f. Let r(q) = 29055 - 447*q. Let h be r(65). Solve -4*p = f - h for p. | -3 |
Let y = -2766.17 + 2766. Which is the third biggest value? (a) 0.5 (b) -2 (c) y | -2 |
Suppose 40*k - 36*k = 32. Find the third derivative of k*g + 4*g**2 - 18*g + 10*g - 2*g**4 wrt g. | -48*g |
(-3 + 5)*(-6)/(-30)*10/(-4) | -1.0 |
Suppose -7*g + 28 = -0*g. Let j be (-1)/(2/((-426)/(-9))). Let y = j + 23. Which is the smallest value? (a) g (b) -3 (c) y | -3 |
Let m = 11 + 3. Let h be (-4)/m*-11 + -3. Which is the third smallest value? (a) -0.5 (b) h (c) 4 | 4 |
What is 133366684 divided by 133366684? | 1.0 |
Let s(f) = 4*f + 17 + 10 - 3*f. Let q be s(-17). Let y(a) = -1 + 14*a**2 - q*a + 2*a - 15*a**2. What is y(-6)? | 11 |
What is the units digit of 544901? | 1 |
Suppose 5*b + 24 = 11*b. Suppose b*l + 2*w = 20, -w = -2*l + 3*w. Suppose -4*y = -l*t - 592, 7 + 18 = -5*t. What is the hundreds digit of y? | 1 |
What is the hundreds digit of 12580? | 5 |
Let c(w) = 2*w**2 + 17*w - 27. Let p be c(-12). Calculate the highest common divisor of p and 3. | 3 |
Solve 17146 + 15629 = -12*l + 33975 for l. | 100 |
Evaluate -14 - (18 - (44 - 15)). | -3 |
Suppose 0 = -3*f + 2 + 10. Suppose -f*s - s + 30 = 0. Let w(q) be the third derivative of -q**6/120 + q**5/12 + 7*q**4/24 - 2*q**3/3 - 6*q**2. Calculate w(s). | 2 |
Calculate the remainder when 16567 is divided by 610. | 97 |
Let d(l) = -l**2 + 4*l + 5. Let q be d(4). Suppose -q*o + 4*u + 85 = 0, -2*o + 4*u + 28 = -6. Calculate the highest common factor of 102 and o. | 17 |
Suppose 2*z - 118 = 174. Suppose -f = f - z. What is the units digit of f? | 3 |
Evaluate (623 + -595 - (8 - 0)) + -102. | -82 |
Let y(g) = 42860 - 2857*g. What is y(15)? | 5 |
Suppose 47*o - 17 = 171. What is the second smallest value in 0.2, o, 1.8? | 1.8 |
0 divided by -209620 | -0.0 |
Let s(y) = -y**2 - 4*y - 4. Let c be s(-4). Let r be ((-18)/24)/((-1)/c). Let u(a) = -a**3 - 2*a**2 + 4*a + 4. Determine u(r). | 1.0 |
Calculate the remainder when 209 is divided by 30. | 29 |
Let y = 41 + 86. What is the tens digit of y? | 2 |
What is the nearest to -6/5 in -0.5, -5, 0.3, -115? | -0.5 |
Solve 14*g + 24 = 26*g for g. | 2 |
Let i(z) = 2*z**2 - z + 51. Give i(0). | 51 |
Let b(p) = p**2 - 22865*p - 182986. Give b(-8). | -2 |
What is the product of -0.13 and -1120? | 145.6 |
Let i be (54 - 1) + -2 - (-6 - -10). Solve i*n = 52*n + 20 for n. | -4 |
Let m = 7 + -3. Let r = 4.99 - -0.01. Let x = r + -10. Which is the nearest to 2/3? (a) -0.3 (b) x (c) m | -0.3 |
Let v = 3 + -2. Let z be ((1 - -1)*-1)/((-114)/741). Let k(x) = v - 7*x**2 - 5*x**2 - 3*x + z*x**2. What is k(2)? | -1.0 |
What is the tens digit of 17471? | 7 |
What is the nearest to 42/71 in 96.3, 8, 4, 0.3? | 0.3 |
Calculate the remainder when 15957 is divided by 155. | 147 |
Which is the third biggest value? (a) -17 (b) 2 (c) -26/11 | -17 |
Multiply 1715 and -5. | -8575 |
What is (36/(-108))/((-3)/621*3)? | 23.0 |
Let v(t) = -5*t + 0*t - t + 4*t + 2*t**2 + 1. Suppose 5*r - 7 = z + 14, 5*z = 3*r + 5. Suppose 5*h - 18 = -c, 27 = r*h + 6*c - 2*c. Give v(h). | 13 |
Solve -10056*h + 10096*h - 520 = 0 for h. | 13 |
What is 416185228 to the power of 1/3, to the nearest integer? | 747 |