Datasets:
parameterlab
/
scaling_mia_the_pile_00_DM_Mathematics

Dataset card Data Studio Files Community
1
text
stringlengths
518
8.19k
meta
dict
= 11*l - r. What is the units digit of l? 5 Suppose 3*y - 82 = -5*t + 21, 5*y = -2*t + 45. Suppose 0 = -2*n - 3*h + h - 26, 2*n = 4*h - t. What is the units digit of (-77)/(-5) - n/(-30)? 5 What is the units digit of 4030/6 + 23/((-414)/12)? 1 Let u(k) = k**3 - 50*k**2 + 70*k - 110. What is the hundreds digit of u(49)? 9 Let o(t) = -t**3 + 1. Let b(s) be the first derivative of s**4/2 - 5*s**3/3 + 5*s**2/2 + 3*s - 3. Let d(w) = b(w) + o(w). What is the units digit of d(6)? 0 Let z = 90 - 88. Suppose z*u = 80 + 352. What is the units digit of u? 6 Let h = -13 - -13. Suppose 0 = -3*y - 2*q - 0 - 2, 5*y + q + 8 = h. What is the tens digit of y - -6*(-9)/(-2)? 2 What is the tens digit of (-192696)/(-72) + ((-16)/12)/(-2)? 7 Suppose 0 = -11*w + 11991 + 2969. What is the tens digit of w? 6 Let w = -551 + 1056. What is the tens digit of w? 0 Suppose 0 = 5*j + 3*t - 81, 0*j - 2*j - 3*t + 27 = 0. Suppose -33*v - j = -36*v. What is the units digit of 278/v + 7/(-21)? 6 Let d(n) = -n**2 - 2 - 5*n + n - n. Let o be d(-4). Suppose x = -o*x + 108. What is the units digit of x? 6 Let d be ((-837)/18)/(6/(-8)). Suppose -4*n = -5*y - d, -y - n = 5 + 2. What is the tens digit of (-124)/y + 2/(-5)? 1 Suppose -2*y + 53 = -773. Let x = -210 + y. What is the tens digit of x? 0 Let n be 4 - (-4 + 0) - -2. Let g = 34 + n. What is the tens digit of g? 4 Suppose 5*h - 35 = 5*t, 0 = 2*t - 4*t - 6. Suppose h*a - 17 - 3 = 4*d, -4*d - 4*a + 4 = 0. What is the tens digit of ((-82)/4)/(1/d)? 4 Let v = 113 + -58. Let q = 300 - v. What is the units digit of q? 5 Suppose 0*g - 5*g - 45 = 0. Let u be 6*(3 - (-6)/g). Suppose u = -4*v + 90. What is the units digit of v? 9 Suppose i - 45 = 4. Suppose 2*l = 7*l - 175. Let h = i - l. What is the units digit of h? 4 Suppose 17*z = 15*z + 8. Suppose -4 - 8 = z*a. Let b(j) = -13*j - 4. What is the tens digit of b(a)? 3 Let y(z) be the second derivative of z**4/4 - z**3/2 + 2*z**2 + 3*z. What is the tens digit of y(3)? 2 Let n(q) = q**3 - 8*q**2 + 8*q - 2. Let o be n(7). Suppose -o = -6*p + 13. Suppose -4*t = -7*t - a + 106, 0 = -3*t - p*a + 96. What is the tens digit of t? 3 Let f = 2 - -2. Suppose -h + 108 = -4*r, f*h - 8*h + 508 = 3*r. What is the units digit of h? 4 Suppose 996 = 2*f + 2*x, 1986 = -0*f + 4*f + 2*x. What is the units digit of f? 5 Suppose 5*j - 2530 = 3*m - 561, -1193 = -3*j - 4*m. Suppose 4*f + 2*l - 330 = 0, -l + 0*l - j = -5*f. What is the tens digit of f? 8 Suppose 2*l = -3*u + 155 - 6, 2*u = 3*l + 82. What is the tens digit of u? 4 Let h = -3 + 8. Suppose 0 = h*w + 4*n - 40, 2*w - 6 = -2*w + 2*n. Suppose -w*m - 29 + 9 = -4*p, 0 = -2*p + 3*m + 6. What is the units digit of p? 9 What is the hundreds digit of 2 + -4 - (-9576)/21? 4 Let a be 12/(-7) + 2 + (-141)/(-21). Suppose -2*x - 14 = -2*j + 2*x, -x = -4*j + a. What is the units digit of j? 1 Suppose 0*a - 4*a = -3*z + 3, 3*a - 34 = -5*z. Suppose -l = z*l - 354. What is the tens digit of l? 5 Let k(q) = q**2 - q. Let t(l) = 8*l**3 - 10*l**2 + 4*l. Let a(g) = -5*k(g) - t(g). What is the units digit of a(-2)? 2 Suppose 3*b - 5*p - 34 = 0, b - 2*p - 13 = -0*b. Let v(a) = 46*a + 3. Let l be v(2). Suppose -b*g = 2*g - l. What is the units digit of g? 9 Suppose -3*n = -897 - 453. Suppose -n = -26*g + 23*g. What is the units digit of g? 0 Let h = 369 - 140. Let u = h - 90. What is the hundreds digit of u? 1 Suppose 6*c = 7*c - 32. Suppose 7*w = 3*w + c. Let m = 18 - w. What is the tens digit of m? 1 Let c(i) = 802*i - 150. What is the hundreds digit of c(7)? 4 Let j be (1/2)/((-2)/196). What is the units digit of ((-4)/14 - 553/j)*5? 5 Let d(r) be the second derivative of r**4/12 - 7*r**3/3 + 5*r**2 + 7*r. What is the tens digit of d(14)? 1 Let v = -20 + 16. Let f be ((-6)/v)/((-2)/(-12)). Let r = 17 - f. What is the units digit of r? 8 Let c(k) = 2*k**2 - 5*k**2 + k + 6*k + 7*k**2 - k**3 - 6. Let v be c(5). Suppose v*z + 5 = -3*x + 32, 5*x - z - 22 = 0. What is the units digit of x? 5 Let d(w) = 2 + 4*w**2 - 2*w + 2*w + 0*w. Let a be (-5)/(15/6)*-1. What is the tens digit of d(a)? 1 Suppose -3 = -2*c + 7. What is the tens digit of 4/20*c - -53? 5 Suppose 3*h - 59 = z, 5*z = -3*h + 39 + 44. Suppose 3*j = -9 - h. Let k = 14 - j. What is the units digit of k? 4 Suppose s - 895 = 570. What is the thousands digit of s? 1 Let j be 1 - ((-1 - 1) + 0). Suppose s = -5*u + 12, u - 2*s = 2*u + j. Let q(z) = z**3 + z - 1. What is the units digit of q(u)? 9 Let k be 4/(-2) - 18/6. Let r = -9 - k. What is the tens digit of (-99)/(-6) - r/8? 1 What is the units digit of -7 + 4 + 1315 + -8? 4 Suppose 13670 + 32254 = 12*y. What is the units digit of y? 7 Let r(p) be the first derivative of 19*p**3/3 - 5*p**2/2 + 4*p + 7. What is the tens digit of r(2)? 7 Let r = 14 - 8. Let u(w) = 56*w**2 - 9*w - 10. Let v(t) = -26*t**2 + 5*t + 5. Let a(y) = -6*u(y) - 13*v(y). What is the units digit of a(r)? 1 Let m(d) = 7*d**3 - d - 1. Let f be (4 - 5) + 1 + 2. Let g be m(f). Let z = -3 + g. What is the units digit of z? 0 Let m(q) = 3*q**2 - 5*q + 53. What is the tens digit of m(5)? 0 Suppose 0*d + 2*d = -10, 3*o = -d + 4333. What is the hundreds digit of o? 4 Suppose -j = -482 + 118. Let k = -78 + j. What is the units digit of k? 6 Suppose -2*l + 4785 = -d, 3*d = 21*l - 23*l + 4765. What is the tens digit of l? 9 Let m be ((-4)/3)/((-8)/(-96)). Let v = -20 - m. What is the units digit of 2/(-5*v/270)? 7 Suppose -3*u + 3*g + 12 = 0, 4*u = -0*g - g + 26. Let q be -4*u/(-8) + -1. Suppose -4*f + q*p + 94 = 0, -53 = -2*f - f - 2*p. What is the tens digit of f? 2 Suppose 7829 = 5*v - v + c, -3902 = -2*v + 2*c. What is the hundreds digit of v? 9 Suppose 0 = 5*v + 13*v - 7632. What is the units digit of v? 4 Suppose 2*r - r = -13. Suppose -n = -29 - 12. Let p = r + n. What is the tens digit of p? 2 Let y(u) = u**3 + 6*u**2 - 2*u - 8. Let j(k) = -k - 13. Let r be j(-7). Let q be y(r). Suppose -64 = -0*x - q*x. What is the tens digit of x? 1 Let i = 212 + -215. Let a(n) = -3*n**3 - 2*n**2 - 8*n - 6. Let h(s) = 7*s**3 + 5*s**2 + 17*s + 13. Let o(v) = 5*a(v) + 2*h(v). What is the tens digit of o(i)? 4 Suppose 8*y = 4*y - 4*o + 6532, y - 1621 = -4*o. What is the thousands digit of y? 1 Let o(u) = -3*u + 9. Let v be o(10). Let f = v + 156. Suppose -f = -7*l + 2*l. What is the tens digit of l? 2 Suppose -13*l = -6*l - 14. Suppose 0 = -2*s - 0*s + l*y + 660, 2*s - 3*y - 664 = 0. What is the tens digit of s? 2 Let m be ((-27)/12)/((-3)/(-24)). Let v be (-6)/21 + m/(-14). What is the units digit of v/2*(19 + -1)? 9 Let q = 10 + 10. Let s = -46 - -30. Let u = q + s. What is the units digit of u? 4 Let u(b) = -6*b - 11. Let g be u(-4). Let j(z) = -3 + 9 + 0 + 5 + g*z. What is the tens digit of j(5)? 7 Let s(q) be the first derivative of -q**3/3 - q**2/2 - 5. Let x(u) = 5*u**2 + 10*u - 8. Let j(l) = -6*s(l) - x(l). What is the units digit of j(7)? 9 Suppose -3*n + 8 = -1. Suppose 0 = n*m - 2*m - 6. What is the tens digit of 2/m - 1572/(-36)? 4 Suppose 12*m = 5*m + 4746. What is the hundreds digit of m? 6 Suppose t - 884 = -2*r, 5*t = 8*t - 5*r - 2685. What is the hundreds digit of t? 8 Let l = 10873 - 7499. What is the tens digit of l? 7 Suppose -4*f = -7 - 9. Suppose 0 = 3*g, 3*g = -6*h + 4*h + 188. Suppose -q = -5*q - 5*t + h, -q - f*t + 18 = 0. What is the units digit of q? 6 Let f(x) = -x**3 - 2*x**2 + 2*x - 14. Let t be f(-8). What is the tens digit of -3*(t/(-18) - 4)? 7 Let d(v) = 2*v + 12. Let n be d(-6). Let z(k) = -13 + 2*k + 0*k + n*k + 4*k. What is the units digit of z(6)? 3 Let u = 118 - -73. Suppose 5*x - u = 304. What is the units digit of x? 9 Let f(m) = 2*m**2 + 83*m - 92. What is the tens digit of f(-51)? 7 Let t(u) = 14*u**2 + 11*u + 16. What is the units digit of t(-5)? 1 Let n = 4102 - 1439. What is the thousands digit of n? 2 Suppose d = -29*d + 22860. What is the hundreds digit of d? 7 Suppose -2583 = 575*w - 584*w. What is the hundreds digit of w? 2 Suppose -4*j + 6 = -p, 4*j + p + 2*p + 2 = 0. Let x be (2/(-2))/(j/3). What is the tens digit of ((-124)/6)/(2/x)? 3 Let b(o) = -4*o + 17. Let h be b(3). Suppose -h*a = -10*a + 740. What is the units digit of a? 8 Suppose z + h - 611 - 137 = 0, -3*z + 2246 = 4*h. What is the tens digit of z? 4 Suppose -29 = -r - 8. Let d = r - 27. What is the t
{ "pile_set_name": "DM Mathematics" }
g**2 + 334*g + 469. Let w(s) = 21*s**2 - 333*s - 470. Let r(c) = 2*u(c) + 3*w(c). What is the derivative of r(p) wrt p? -2*p - 331 What is the third derivative of -23*n**2 - 145*n**4 + 2389*n**6 + 3*n**4 + 120*n**2 + 142*n**4 wrt n? 286680*n**3 What is the second derivative of 149 + 1071*r**4 - 97 - 3335*r**4 - 5*r wrt r? -27168*r**2 Find the third derivative of -5504*g - 3698*g + 6*g**2 - 120*g**2 + 1593*g**3 + 116*g**2 wrt g. 9558 Let y be 1142/6 - (4/12 - 0). Find the third derivative of -y*r**3 - 1478*r + 10 + 1478*r - 6*r**2 wrt r. -1140 Let p = -11 - -21. Suppose -p*i + 6 = -9*i. Find the first derivative of -i - 221*s - 10 + 221*s - s**2 wrt s. -2*s Let i(u) = -12*u**2 + 8*u**2 - 2*u + 7 + 3*u**2 - 3*u. Let s be i(-5). Find the third derivative of -12*k**4 + 15*k**2 - s*k**2 - 11*k**2 wrt k. -288*k Let g(i) = -30856*i + 40888. Let b(r) = -2204*r + 2919. Let d(q) = -29*b(q) + 2*g(q). What is the first derivative of d(y) wrt y? 2204 Let z(g) = -g**2 + 2*g + 6. Let s be z(7). Let m = s + 40. What is the derivative of 131*n**2 - 122*n**2 - m - 1 wrt n? 18*n What is the second derivative of 70*g**5 - 734*g**5 + 4*g + 3*g - 294 - 6*g - 154*g**5 wrt g? -16360*g**3 Let s(f) be the third derivative of 1/120*f**6 - 50*f**2 + 0*f**4 + 0*f + 0 + 1/70*f**7 + 0*f**5 - 113/6*f**3. Find the first derivative of s(n) wrt n. 12*n**3 + 3*n**2 Let k(p) be the third derivative of -p**8/84 - 158*p**5/15 - 375*p**4/2 + 17*p**2 + 12. Find the second derivative of k(h) wrt h. -80*h**3 - 1264 Suppose 11*q = -6*q + 221. Find the first derivative of -c**3 - 19*c**3 + 110*c**3 + 39 + q wrt c. 270*c**2 Suppose 4*h - 3052 = -3*o - 0*o, 2*o + 8 = 0. What is the first derivative of -h + 862 + 18*j - 72*j wrt j? -54 Let t(h) be the first derivative of -10192*h**3/3 + 3*h**2/2 - 2182*h + 7210. What is the second derivative of t(f) wrt f? -20384 Let a(l) be the third derivative of -l**7/105 - 29*l**6/120 - l**5/30 - l**4/6 - 35*l**3/3 - 428*l**2 - l + 1. What is the second derivative of a(s) wrt s? -24*s**2 - 174*s - 4 Let j(m) be the second derivative of -m**7/21 - 54*m**5/5 - 11*m**4/4 - 2*m**3 - 2942*m. Find the third derivative of j(z) wrt z. -120*z**2 - 1296 Suppose -14*b = -4*b - 50. Find the third derivative of -5*p**2 + 112*p**b + 39*p**4 + 2 - 39*p**4 - 6 wrt p. 6720*p**2 Let r(i) be the first derivative of i**6/20 - 2*i**3/3 - 24*i**2 - 59. Let c(l) be the second derivative of r(l). Differentiate c(a) wrt a. 18*a**2 Let n(f) = -f**3 - 2*f**2 - 6*f - 3. Let k be n(-2). What is the first derivative of -172 + 77*v**4 - 7 + k wrt v? 308*v**3 Let z = 129 + -124. Find the third derivative of -4*p**4 + 18*p**2 - 18*p + 47*p - 29*p + 5*p**z wrt p. 300*p**2 - 96*p Let h = -1 - -4. Suppose -h = 5*t - 28. What is the third derivative of -4*g**2 + 3*g**5 - 2*g**5 - 11*g**2 - 2*g**t wrt g? -60*g**2 Let i(n) be the first derivative of 2*n**6/3 - 10*n**5 - 3*n**4/4 - 512*n**3/3 - 3*n**2/2 + 3903. Find the third derivative of i(d) wrt d. 240*d**2 - 1200*d - 18 Find the third derivative of -203827*g**5 + 32 + 37 + 3*g**2 + 203827*g**5 + 3260*g**6 wrt g. 391200*g**3 Find the first derivative of -128*d**4 + 1768 + 336*d**4 + 414*d**4 wrt d. 2488*d**3 Let n(r) = 20*r**2 - 46. Suppose -9*j = -125 - 136. Let m(k) = -j - 16 - 1 + 18*k**2. Let f(i) = 4*m(i) - 3*n(i). What is the derivative of f(z) wrt z? 24*z Let m(x) be the second derivative of 0*x**5 + 0*x**4 + 55 + 44/15*x**6 + 0*x**3 + 2*x + 263/2*x**2. Differentiate m(d) with respect to d. 352*d**3 Let s(q) = 2*q**3 - 2*q**2 - 2*q - 1. Let x(t) = 724*t**3 + 2205*t**2 + 6*t + 3. Let h(f) = 3*s(f) + x(f). Find the third derivative of h(d) wrt d. 4380 Let c = 158 - 88. Let p be c*(-1)/((-20)/8). Find the second derivative of -11*q - 17*q**3 - q + p*q**3 wrt q. 66*q What is the third derivative of -1204512*j**3 + 1203793*j**3 - 31 + 5 - 40*j**2 wrt j? -4314 Let w(h) be the first derivative of 0*h**4 - 1/3*h**3 - 79 - 2*h**2 + 0*h + 21/5*h**5 + 1/3*h**6. What is the third derivative of w(u) wrt u? 120*u**2 + 504*u What is the second derivative of -54*a**2 - 295*a + 188*a**2 + 223*a**2 + 60*a**2 - 456*a wrt a? 834 Let g be 90/25 + ((-18)/10)/3. Find the third derivative of 67*x**2 + 5*x - 44*x**3 + 1 - 5*x - 84*x**g wrt x. -768 Let q(u) be the second derivative of -79*u - 1/12*u**4 + 0 - 1/6*u**3 + 19*u**2. What is the first derivative of q(g) wrt g? -2*g - 1 Let q(l) be the second derivative of 0*l**3 + 9/4*l**5 - 138*l + 0 + 1/15*l**6 - l**4 - 3*l**2. What is the third derivative of q(g) wrt g? 48*g + 270 Suppose 766 = 6*b - 770. Differentiate -5*t - b - 147*t + 234 wrt t. -152 Let i(w) be the third derivative of -53*w**6/15 + 11*w**4 + 147*w**2 - 4*w. What is the second derivative of i(q) wrt q? -2544*q What is the second derivative of 16 + 1088*h**3 - 23 + 75*h + 14 wrt h? 6528*h Let u(p) be the second derivative of -469*p**8/8 + 5*p**4/3 + 2*p**2 - 3910*p. Find the third derivative of u(v) wrt v. -393960*v**3 Suppose 6*j = 2*j + 8. Suppose -3 - 7 = -5*r. What is the third derivative of -11*h**2 - h**r - 9*h**5 + 0*h**j wrt h? -540*h**2 Let y(x) be the third derivative of 13*x**8/240 + 11*x**4/6 - x**3/3 + 43*x**2. Let c(b) be the first derivative of y(b). Differentiate c(l) with respect to l. 364*l**3 Let f(u) = u**3 + 4*u**2 + 6*u - 30. Let a be f(11). Find the second derivative of a*b - 1873*b + 2*b**3 - b**3 wrt b. 6*b Suppose 3*l = -4*a - 267, 3*a + 5*l = -a - 269. Let b = a - -91. Find the third derivative of 405*d - 2*d**2 - b*d**4 + 9*d**2 - 405*d wrt d. -600*d Let o(x) be the third derivative of -x**6/40 + 121*x**4/6 - 88*x**3/3 - 417*x**2 - 5*x. Differentiate o(d) with respect to d. -9*d**2 + 484 Let u(m) = m**2 - 4*m - 9. Let g be u(7). Suppose -v + 2*l = -g, 3*v + 4*l - 16 = 6*l. What is the third derivative of -4*j**4 - 5*j**2 + 7*j**v + 6*j**2 wrt j? -96*j Suppose -3*k = -d + 24 + 4, -2*k = -2*d + 72. Suppose 3*b - 6*b + 81 = 2*y, b - d = -5*y. What is the third derivative of b*a**3 - 69 + 69 - a**2 wrt a? 150 Suppose -2*b - 28 = -6*b. Suppose 0 = -5*f + m + 53, -3*f + 2*m + 22 + b = 0. Find the second derivative of 825*i**3 - f*i**5 - 825*i**3 + 5*i wrt i. -220*i**3 Let r be ((-20)/(-90))/((-4)/(-72)). Let j = 48 - -3. Find the third derivative of j*u**3 - 2*u**5 - 51*u**3 + r*u**2 wrt u. -120*u**2 Find the third derivative of -882*p**2 + 6915*p**3 + 15307*p**3 - 16088*p**3 wrt p. 36804 Let b(d) be the first derivative of -d**7 - 27*d**4/4 + 5*d**3 + 55*d + 590. What is the third derivative of b(r) wrt r? -840*r**3 - 162 Suppose 23*g + 24 = 29*g. What is the second derivative of -x - 3*x**3 - 7*x**2 - 6 - 46*x**g + 43*x**4 + 3*x**3 wrt x? -36*x**2 - 14 Suppose -4*u = -1 - 3. Let g be (u - -7) + 6/3. What is the second derivative of g*k - 17*k - 20*k**2 + 2*k wrt k? -40 Let x(l) be the third derivative of -3*l**2 - 37/60*l**5 + 2*l - 1/120*l**6 + 0*l**3 + 0 - 11/210*l**7 - 1/24*l**4. What is the third derivative of x(f) wrt f? -264*f - 6 Differentiate -l**3 + 3*l**3 + 8 - 142 + 115*l - 547 with respect to l. 6*l**2 + 115 Let u(p) be the second derivative of 37*p**5/20 + p**4/6 - 569*p**3/6 - 812*p. What is the third derivative of u(d) wrt d? 222 Let m(t) = 1431*t**4 + 4*t**3 - 5*t**2 - 16*t + 43. Let d(f) = -8*f**4 - f**3 + f**2 + f - 1. Let p(z) = 3*d(z) + m(z). Find the third derivative of p(w) wrt w. 33768*w + 6 Let s(d) = -205*d**4 + 7*d**3 - d + 16. Let f(u) = 205*u**4 - 6*u**3 - 4*u - 15. Let x(b) = -7*f(b) - 6*s(b). What is the second derivative of x(n) wrt n? -2460*n**2 Let p = -123 - -160. Find the second derivative of -2*r + 7*r - 3*r + 0*r + 1518*r**4 - 1409*r**4 - p wrt r. 1308*r**2 Let j(d) = d**2 - 4*d. Let p be j(4). Suppose 4*b - 14 = 2*q + 3*q, p = -4*q + 8. Find the third derivative of 4*o**2 - 2*o**b - 14*o**6 + 4*o**2 wrt o. -1920*o**3 What is the third derivative of -136*o**6 - 43*o**5 - 1712*o**2 + 479*o**2 + 41*o**5 wrt o? -16320*o**3 - 120*o**2 What is the second derivative of -2*j**5 + 15*j + 17*j**5 + 4*j**2 - 8*j - 1399 - 5*j + 10*j**5 wrt j? 500*j**3 + 8 Let t = 67 - 82. Let j be 3 - 3/(t/5). Find the third derivative of 4*d - j*d + 18*d**6 - 407*d**2 + 441*d**2 wrt d. 2160*d**3 Differentiate 4951 + 106*x**3 + 79*x**3 - 4103 + 2*x**2 with respect to x. 555*x**2 + 4*x Suppose -4*j + 2*d =
{ "pile_set_name": "DM Mathematics" }
t s = 1 + 0. Put n, g, s in decreasing order. g, s, n Let x = -8746/37315 + -2/2195. Sort x, 0, -1/4 in decreasing order. 0, x, -1/4 Let y = -5 - -3. Let v be ((y - -3) + -2)*1. Let s be (-2)/((-1)/((-10)/4)). Put 3, v, s in ascending order. s, v, 3 Suppose 0 = i - 10 + 12. Let t be 9/12 + (-2)/(-8). Sort i, t, 6. i, t, 6 Let s = 0.38 - 0.41. Sort 2, s, 4 in decreasing order. 4, 2, s Let u = -5 - -7. Let j be (-4)/6*(2 + -11). Suppose -u*v - j = v. Sort v, 2/7, 2/15 in increasing order. v, 2/15, 2/7 Let g = -1 + 0. Let d(l) = l**3 - 11*l**2 - 13*l + 12. Let b be d(12). Let f = -6 - -4. Put b, g, f in decreasing order. b, g, f Suppose -8*s + 3*s = 5. Let o = 1 + s. Let k(h) = 3*h + 16. Let l be k(-7). Put o, l, 1 in decreasing order. 1, o, l Suppose 0 = -z - 3*a - 9, 0 = 2*z - 2*a - 0 + 2. Put -1, z, -4 in decreasing order. -1, z, -4 Suppose 3*q + 3*m = -m + 820, -3*m + 1374 = 5*q. Let w be 4/(-10) + q/(-60). Let c be 0*(1 - 0)*-1. Sort 5, w, c in increasing order. w, c, 5 Let c(y) = y + 6. Suppose -4*t = t + 30. Let p be c(t). Put 1, -0.4, p in decreasing order. 1, p, -0.4 Suppose 13 = 5*c + 3. Suppose -2*x - c*x - q + 4 = 0, -3*q - 12 = 0. Sort x, -3, -1 in descending order. x, -1, -3 Let i = 23 - 70/3. Let k = 1.97 - -0.03. Sort i, k, 4. i, k, 4 Let h be 32/(-56) - (-4)/14. Sort -3/5, h, 7 in ascending order. -3/5, h, 7 Let j be ((1 - 2)/(-2))/((-69)/230). Put 1, j, 1/2 in descending order. 1, 1/2, j Let b(d) = -4*d + 20. Let v be b(6). Sort 7, v, 1 in decreasing order. 7, 1, v Let t be -1*2/2 + 0. Let k = -2 + t. Let y = -1 - 4. Sort y, 1, k in ascending order. y, k, 1 Let i be 8/(-12) + (-13)/(-24). Sort i, 3, -0.02 in descending order. 3, -0.02, i Let y(z) = -z**3 - 8*z**2 + 2*z + 14. Let x be y(-8). Sort 5, -4, x in ascending order. -4, x, 5 Suppose 10 = 2*a - 3*v - 9, -14 = 3*a + 4*v. Let s = 16 - 23. Sort 0, a, s in increasing order. s, 0, a Let f be (8 - 6) + 1 + -4. Let k be 5 - (-2 - -3 - 0). Suppose -25 = k*n + n. Sort f, -4, n in ascending order. n, -4, f Suppose -3*l = -3*z - 12, -z - 3*l = -6*z - 20. Put 9, 5, z in decreasing order. 9, 5, z Let b = 1 + 2.2. Let l = -1.2 + b. Sort 0.1, l, -4 in descending order. l, 0.1, -4 Let p = 2.1 - 2. Let o = 2.8 - 2.8. Sort o, p, 3. o, p, 3 Let c(d) = -d**3 + 10*d**2 + 10*d + 16. Let m be c(11). Sort 1, 4, m in ascending order. 1, 4, m Suppose -4*w + 22 = -i, 0 = i - 0*i - 3*w + 17. Let h(q) = 3*q + 5. Let a be h(i). Let b be (-6)/(-27) - (-2)/(-9). Put a, b, 1 in decreasing order. 1, b, a Suppose a + 8 - 21 = 0. Let k = 9 - a. Put k, 0, 4 in descending order. 4, 0, k Let u = 34 - 33.5. Sort -0.5, 0, u in descending order. u, 0, -0.5 Let x = -29 - -17. Let q be x/105 - 6/21. Put 0.3, q, -0.5 in decreasing order. 0.3, q, -0.5 Let f = -9.5 + 9. Let u(x) = x**3 - 4*x**2 + x - 2. Let q be u(4). Let b be (11/(-5) + q)/2. Sort -3/8, b, f. f, -3/8, b Let x(o) = o**2 - 5*o + 5. Let r be x(5). Suppose 0 = 3*q + 4*i - 14, 4*q - 5*i = -6 - 27. Suppose -d - 12 = 3*d. Sort r, q, d in ascending order. d, q, r Let t be (-28)/(-4) + (1 - -3). Put 0.4, t, -1/5 in ascending order. -1/5, 0.4, t Let d = 0 - 0.2. Sort d, -3, -2/11. -3, d, -2/11 Suppose -5*h - 8 + 8 = 0. Put -12, -4, h in ascending order. -12, -4, h Let c be (-27)/(-5) - (5 + (-92)/20). Put -2/11, 0.1, 1, c in ascending order. -2/11, 0.1, 1, c Let y(s) = 5*s + 100. Let k be y(-19). Suppose 4 = -2*z - z + a, z + 4*a = -23. Sort -2, k, z in decreasing order. k, -2, z Let p(z) = z**3 - 7*z**2 + z - 5. Let c be p(7). Suppose -4*v + 15 = 5*m, -4*m + c*m = 2. Sort -3, 0, v in increasing order. -3, 0, v Let p = 4 - 4.3. Sort -2/9, p, 3 in descending order. 3, -2/9, p Let f = 11 + -9. Suppose 7 = f*a - 3. Sort a, -1, 0.3 in descending order. a, 0.3, -1 Let k = 167 + -169. Put -3, -1, k in ascending order. -3, k, -1 Let b(i) = i**3 + 2*i**2 - 6*i - 4. Let x be b(-5). Let m be 7/(-2)*28/x. Put -1, m, -2 in increasing order. -2, -1, m Let o = -0.3 - 2.7. Let i = o - -3. Sort 2/3, i, 2 in increasing order. i, 2/3, 2 Let v(n) = n - 1. Let t be v(-2). Let s be ((-10)/4)/(t/6). Sort -3, -2, s in decreasing order. s, -2, -3 Let o = 2.15 - 2.25. Let u = -0.05 + -1.95. Sort u, o, 0.3 in decreasing order. 0.3, o, u Let w = -3 + 8. Let c be ((-2)/14)/((-12)/(-35204)). Let i = -419 - c. Sort i, 4, w in decreasing order. w, 4, i Suppose -3*a - 3*r + 11 = r, 5*a - 3*r = -30. Let c = 7 + -13. Let d be (-8)/c + (-4 - a). Sort d, -3, -1 in ascending order. -3, -1, d Let u = -0.3 - -0.3. Let q = 1.1 + -1. Sort q, u, 1 in descending order. 1, q, u Let s be (-11)/(-2) - (-4)/(-8). Let n = 4 - 0. Put s, n, -1 in increasing order. -1, n, s Let x = -47 - -21. Let m = x - -31. Put 1, m, 2 in descending order. m, 2, 1 Suppose -2*n = -10 - 30. Let o be 1 - 3 - n/(-12). Put -0.5, o, 2 in descending order. 2, o, -0.5 Suppose -h + 3*h + 4 = 0. Let k be (15 + -15)/(1*-1). Sort 5, h, k. h, k, 5 Let d(o) = o**2 + o. Let h be d(4). Let u be (-5)/h + (-97)/(-4). Let c be (6/u)/((-14)/(-24)). Sort c, -1/5, 0.5 in ascending order. -1/5, c, 0.5 Let h = 0.3 + -5.3. Sort 2, 0, -0.5, h in decreasing order. 2, 0, -0.5, h Let h = 0.3 - 0.2. Let b(i) = i**2 + 6*i + 4. Let p be b(-3). Let c(d) = -d**2 - 6*d - 1. Let o be c(p). Put 1/11, h, o in increasing order. 1/11, h, o Let p = -880/9 - -98. Let r = 0.03 + 0.57. Sort p, 0, r in ascending order. 0, p, r Suppose x = 2*j - 3*x - 8, -2*j + 8 = -x. Put 2, j, -5 in decreasing order. j, 2, -5 Let a = -4 - -9. Sort -1, 4, a in increasing order. -1, 4, a Suppose -j = -5*j - 4. Suppose 3*v + 14 = -h, 3*h + h + 23 = -v. Sort v, j, 5 in ascending order. v, j, 5 Suppose -s + 24 = -4*s + 5*x, -s + 3*x - 12 = 0. Suppose 0 = 3*l - 71 + 65. Put l, 1, s in descending order. l, 1, s Let v be 4/14 + 133/49. Suppose -4 = -k + v*k. Let o be k + (42/(-4))/(-3). Put -0.1, -4, o in ascending order. -4, -0.1, o Let p = 0 - -4. Suppose -16 = -5*f + 14. Suppose w - 4 = 2*j, -w + 0*w = -3*j - f. Sort p, 5, w in decreasing order. 5, p, w Suppose -4*y = -2*k + 12, 0 = k + 2*k - 4*y - 14. Let h(o) = -7 + 2*o**2 + 1 + 5*o - o**2. Let z be h(-6). Put 4, k, z in ascending order. z, k, 4 Suppose 2 + 6 = -d. Let i be d/(-32) + (-11)/(-4). Sort i, 4, -2. -2, i, 4 Suppose -4*s = -0*s - 12. Let j = 7.3 + -7. Let y be -2*(-3)/30 - 0. Sort j, y, s in increasing order. y, j, s Suppose -5*w + 5*s = -3*w + 21, 0 = 5*w - 4*s + 78. Let v be -2 - (w/3 + 4). Put v, 5, 4 in ascending order. v, 4, 5 Let b(x) = -x**3 - x**2 + 10. Let f be b(0). Let r = f + -16. Let m be 2/(-12) + 5/r. Put 5, m, -3 in ascending order. -3, m, 5 Let k(j) = -j**3 + 4*j**2 + 2*j - 4. Let w be (32/(-40))/((-1)/5). Let g be k(w). Sort g, -4, -2 in descending order. g, -2, -4 Suppose 35 = 5*s + 4*b, b = s + 5*b - 23. Suppose 4*m - 4 = 4*g, -9 = 3*m + s*g - 0. Sort 2, 0, m in increasing order. m, 0, 2 Suppose 5*j = -5*d - 175, 15 = -2*j - j. Let i be (-350)/d - (-1)/3. Let t = -8 + i. Sort 2/3, t, 0.2 in decreasing order. t, 2/3, 0.2 Let v = 6.8 + -7. Let u = -41/5 + 159/20. Sort u, -3, v. -3, u, v Let c be (-10)/15*(-3)/2. Let x = c + -5. Sort x, 7, -5 in decreasing order. 7, x, -5 Let j be 38/(1*(-8)/28). Let a be 703/j + 2/7. Suppose 0 = 5*i + 3*f + 5, 5*f - 3 + 1 = 2*i. Put i, 1, a in decreasing order. 1, i, a Let r = 14.8 + -15. Sort 2/7, -0.1, r. r, -0.1, 2/7 Let p = -59 - -58. Let h be 4/(-10) - (-14)/10. Let a be -2*(-1)/h - 5. Sort 0, a, p in ascending order. a, p, 0 Suppose -i = -3 + 4. Sort -3, -5, 4, i in decreasing order. 4, i, -3, -5 Let f = 10 + -6. Suppose -f + 5 = -a. Sort -5, -7, a in ascending order. -7, -5, a Suppose z - 5*z + 68 = 0. Suppose -7*j = -3*i - 2*j + z, -10 = -2*i + 3*j. Put i, 4, 0 in ascending order. i, 0, 4 Let c = 14 + -8. Let i be (-3)/5*(-4)/c. Let q = 2.1 + -0.1. Sort i, q, -2. -2, i, q Suppose z + 5*h = 12 + 4, 2*z - 2*h = 20. Let a = z - 145/13. Let n be (-2)/(0 - 8/1). Sort a, -2, n in descending order. n, a, -2 Suppose -s - 2*s - 5 = 4*i, 5*s + 5*i + 10 = 0. Suppose -5*n - 42 + 57 = 0. Sort -1, n, s in decreasing order. n, -1, s Let i be -1*2 + (-27)/(-1). Suppose -2*t = -7*t - i. Put 5, t, 1 in descending order. 5, 1, t Let l be 2 + -4 - (-3 - 4/4). Suppose -2*m = -5*g - 10 - 15, -m = 5*g + 25. Put l, g, 0 in ascending order. g, 0, l Let n = 7.4 + -7. Suppose -3*g = -8*g.
{ "pile_set_name": "DM Mathematics" }
+ 4. Let q be j(-6). Let n be (-12)/(-20) + 694/q. What is the highest common divisor of 28 and n? 14 Suppose 5*t + 50 = 10*t. What is the highest common factor of t and 30? 10 Let r be (-30)/(-12)*(-16)/(-10)*7. What is the greatest common factor of r and 2? 2 Suppose 2*p + 425 = -3*p. Let r be 0 - (1 + (p - -3)). What is the highest common divisor of r and 9? 9 Let w(a) = -4*a + 2. Let g be w(-3). Calculate the greatest common factor of 70 and g. 14 Suppose -2*l - 2*l + 192 = 0. Suppose 2*k = 3*h - l, 4*h - 3*h + k - 16 = 0. What is the greatest common factor of 80 and h? 16 Let a = -13 + 32. Suppose 5*z = h - 4 + 9, -23 = -3*h - 4*z. Suppose 4*y - 3*j = -0*j + 29, -h*j - a = -3*y. What is the greatest common factor of y and 8? 8 Let b(z) = 128*z**3 + z**2 - z. Let a be b(1). Let c = 34 + -2. What is the greatest common divisor of c and a? 32 Suppose 0*t - 4*t + 132 = -4*d, -4*t + 70 = -2*d. Let c = d + -29. Let p = c - -159. Calculate the greatest common factor of 9 and p. 9 Let t = 242 + -35. What is the greatest common divisor of t and 23? 23 Let g = -21 - -41. Calculate the highest common factor of 50 and g. 10 Let v = -469 + 208. Let k = -173 - v. What is the highest common factor of k and 11? 11 Let a be (-2)/3*432/(-32). Calculate the greatest common divisor of 1 and a. 1 Suppose 59*s - 61*s + 116 = 0. What is the greatest common factor of 87 and s? 29 Let i be 4/(-6) - 100/(-6). Let o be 3 + (43 - (2 + -4)). Calculate the greatest common factor of i and o. 16 Let y = 184 - 96. What is the greatest common divisor of 8 and y? 8 Let p(c) = c**3 - 3*c**2 + c. Let y be ((-16)/12)/((-3)/9). Let i be p(y). Let u = 62 - -38. What is the highest common factor of i and u? 20 Let o(w) = -w + 9. Let m be o(-11). Suppose 39 = 2*r - r. Let k = 79 - r. What is the highest common factor of k and m? 20 Let j be (-225)/5*(-16)/6. What is the highest common factor of j and 15? 15 Suppose -k = -a - 4*a + 76, 5*a = -k + 74. Let w = a - 12. Suppose 0 - 9 = -i. What is the greatest common divisor of w and i? 3 Let s be (-1 - 0)*(80 + -1). Let y be s/4 - 1/4. Let h be (-552)/y + 4/10. What is the greatest common divisor of 4 and h? 4 Suppose -s = -2*m - 145, 2*m - 395 = -3*s - 0*m. What is the highest common factor of 15 and s? 15 Let q be ((-106)/(-8))/((-3)/(-24)). Suppose -q - 54 = -5*w. What is the highest common factor of w and 16? 16 Let x(c) = -c**2 + c - 4. Let b(k) = k**3 - 3*k**2 - 4*k. Let u be b(4). Let z be x(u). Let w = z - -16. Calculate the highest common factor of w and 96. 12 Let u(g) = -9*g. Let s be u(-2). Suppose 4*y + 0*y - 60 = 0. Let n be (-5)/(5/(-3)) + y. Calculate the greatest common factor of n and s. 18 Let j be ((-264)/9)/((-10)/15 - 0). What is the greatest common factor of j and 4? 4 Let d(h) = -h**2 + 5. Let t be d(0). Let x(p) = p**2 + 3*p. Let q be x(-3). Let k be q + 5/(t/108). Calculate the greatest common factor of k and 12. 12 Let h be 20/(-130) - 8584/(-26). Calculate the greatest common divisor of h and 30. 30 Let v be 1040/88 - (-2)/11. Calculate the highest common factor of v and 30. 6 Let k = -7 + 11. What is the greatest common factor of k and 10? 2 Let z be -1*-14*7/2. Suppose 57 = t + 3*t + 5*k, 2*t = -2*k + 26. Let f = t - 1. Calculate the greatest common factor of f and z. 7 Let l = 111 + -78. Suppose 0 = -2*i + 6*i - 12. Suppose 4*g - 85 - i = 0. What is the highest common factor of l and g? 11 Suppose y = 6*y - 35. Suppose -4*a = -5*z + 2*z - 43, 4*a + z - 23 = 0. Calculate the highest common factor of a and y. 7 Suppose 4*o + 8 + 12 = 0. Let k be (3/(-3) + o)/(-2). Calculate the greatest common factor of 3 and k. 3 Let q(l) = l**3 - 2*l - 1. Let y be q(2). Suppose 64 = 2*t + s - y*s, 0 = -t - s + 40. What is the highest common factor of t and 9? 9 Let n(j) = -j + 5. Let p be n(6). Let t be p/(-3) + (-8)/(-3). Let h(w) = 2*w**2 - 2*w - 3. Let v be h(4). Calculate the greatest common divisor of v and t. 3 Let h be 10/(1/4 + 0). Suppose -28 = -a + 4*y, -3*a - 2*y = a - 76. Calculate the highest common factor of a and h. 20 Let p(w) = w**3 + 4*w**2 - 6*w + 2. Let f be p(2). Calculate the highest common factor of f and 154. 14 Suppose -d + 0*d = -3. Suppose u + 180 = d*u. Calculate the highest common factor of u and 18. 18 Let n(j) = -j**2 + 13*j - 15. Let u be n(13). Let v be 3*14/u*-15. Calculate the greatest common factor of v and 28. 14 Suppose 5*t - 3 = 2. Calculate the highest common divisor of 5 and t. 1 Let r = 9 + 7. Calculate the greatest common factor of r and 24. 8 Let o(q) = -4 - 2*q - 11*q**2 - q**3 + 3*q**2 - 5*q. Let y be o(-7). Let l be 18/y*(1 + -3). What is the greatest common factor of l and 6? 3 Let m = -12 - -26. Calculate the greatest common divisor of m and 28. 14 Let r be (72/(-10))/((-6)/20). Let q(y) = 8*y - 4. Let n be q(5). Calculate the highest common divisor of r and n. 12 Suppose z - 5 - 5 = -5*t, 4*z = 3*t + 17. What is the highest common factor of 12 and t? 1 Let d = -42 + 117. What is the greatest common divisor of d and 30? 15 Let w = 19 + -16. Calculate the greatest common divisor of 6 and w. 3 Suppose -8 - 26 = -3*m - 2*b, -37 = -3*m + b. Calculate the greatest common factor of m and 84. 12 Let q = 0 + 8. What is the highest common divisor of q and 56? 8 Let i(o) = -4*o**3 + 2*o**2 + o. Let z be i(-1). What is the greatest common factor of 45 and z? 5 Let k(t) = t**3 + 5*t**2 - 7*t - 3. Let w be k(-6). Let f(o) = 8*o + 0 + 5 - o**2 - 3. Let i be f(8). Calculate the greatest common divisor of i and w. 1 Let b(v) = v**2 + 8*v. Let t be b(7). Suppose -3*h + t = 3*o, -h = 3*h + 2*o - 130. What is the greatest common factor of h and 15? 15 Let u = 8 + 8. What is the highest common divisor of 32 and u? 16 Suppose -4*p = -16, 0 = 5*k - 3*p - 9 - 89. Calculate the highest common divisor of k and 33. 11 Suppose -5*v + 42 = -0*v - 3*t, -5*t - 13 = -2*v. Calculate the highest common factor of v and 72. 9 Let x(n) = n**3 - 14*n**2 - n + 8. Let v be x(7). Let p be v/(-30) - (-4)/(-10). Suppose 3*d = p + 19. What is the highest common divisor of 10 and d? 10 Let o(w) = w**3 + 7*w**2 + 4*w - 8. Let c = -18 + 12. Let i be o(c). Let g be (i/2)/((-4)/(-14)). Calculate the highest common factor of g and 63. 7 Suppose -220 = -2*d + 5*c, 4*d + 113 = 2*c + 585. What is the highest common divisor of 30 and d? 30 Let m(k) = k**2 - 7. Let l be m(8). Let x = l - 80. Let j = x - -32. What is the highest common divisor of 9 and j? 9 Let i be 2/4 - 1/2. Suppose -3*t + 135 = 2*x, -9 = -x - 3*t + 51. Suppose -3*h + 2*h + x = i. Calculate the highest common divisor of h and 15. 15 Suppose -5*f + 3*u + 200 + 265 = 0, -3*u - 15 = 0. Let t be (16/(-12))/((-1)/f). What is the greatest common factor of t and 15? 15 Suppose -4*p + 0*p = 12. Let u be ((-22)/(-1 - p))/(-1). Calculate the highest common divisor of u and 33. 11 Let d = 1 + 13. Calculate the greatest common factor of 154 and d. 14 Let u be (11 - -3) + 1 + -5. Calculate the greatest common divisor of 270 and u. 10 Suppose 2*f - f = -s + 42, -s = -2. Suppose -f = -7*z + 5*z. Let w be (-2)/(-6) + 22/6. Calculate the highest common factor of z and w. 4 Suppose 11 + 10 = 3*y. Calculate the highest common divisor of 56 and y. 7 Let n(o) = o + 6. Let m be n(6). Suppose -f - 13 = m. Let v = f - -35. What is the greatest common divisor of v and 10? 10 Suppose x - 42 = -4. Suppose 0 = -3*n - 2*j + 9 + x, n - 19 = -4*j. Suppose 2*p - 5*q = 32, 5*p - 58 + 8 = 5*q. What is the greatest common factor of n and p? 3 Let u(z) = -3*z + 5. Let h be u(-3). Let f(b) = -b + 27. Let l be f(h). What is the highest common divisor of 117 and l? 13 Suppose -2*y - 2*y = 2*v - 6, -5*y - 64 = -4*v. Let s(j) = -97*j**3 - 4*j - 2. Let f be s(-1). What is the highest common factor of f and v? 11 Let h = 133 - 76. What is the highest common divisor of h and 19? 19 Let s be (-1)/((-10)/6 + 2). Let l be -3 - ((-558)/s)/(-2). Let c = 6 + l. Calculate the highest common divisor of 12 and c. 12 Let n be 80/4*1/1. Let d = 7 - n. Let r = d + 23. What is the highest common factor of r and 80? 10 Suppose -4*t - g = -707, 2*t + 2*t = 5*g + 689. Let s(h) = -2*h - 16. Let a be s(-8). Suppose 2*i - 39 + 7 = a. What is the greatest common divisor of i and t? 16 Suppose -2*n = -4*n + 8. Let
{ "pile_set_name": "DM Mathematics" }
(c) -1 (d) 6/65 a Which is the second smallest value? (a) -6053 (b) -0.5 (c) 17/4 b Which is the fifth smallest value? (a) -3/8 (b) 1/4 (c) -4 (d) 39 (e) 4 (f) -3 e What is the fourth smallest value in -25, -23/5, 0.3, 5, -39, 1? 0.3 What is the smallest value in 0, -314, 1.5, -5? -314 Which is the fourth biggest value? (a) 1382 (b) 2.1 (c) -4 (d) 0 (e) 0.3 (f) 2/7 f Which is the second smallest value? (a) 0.1 (b) 0.3 (c) 2985.7 b Which is the biggest value? (a) -3 (b) 1889.9 (c) 0.1 b What is the biggest value in 8/7, 20, 23, -1/3? 23 Which is the smallest value? (a) -2/3 (b) 0.4 (c) -172 (d) 2/69 c What is the third biggest value in -1838, 5/7, 16? -1838 Which is the fourth biggest value? (a) -24/7 (b) -10 (c) -1 (d) -2/15 (e) -0.1 (f) 12 c Which is the second biggest value? (a) -8739 (b) 9 (c) 1 c Which is the second biggest value? (a) 0.03 (b) -3/5 (c) 2/3 (d) 0.13 (e) -2 d What is the third smallest value in 0.374, 4, -233? 4 Which is the fifth biggest value? (a) 121.8 (b) 0.2 (c) -1/4 (d) 3 (e) -3 e What is the fifth biggest value in -1, 1/4, -1/8, 3, 3/29, 9? -1/8 What is the third smallest value in -4, -0.1, -9/5, 3/2, -1.5, 29? -1.5 Which is the fourth biggest value? (a) 289 (b) -2/7 (c) -5 (d) -36 (e) -0.5 c What is the fourth smallest value in 0.04, -4, 4, 9.19? 9.19 What is the second biggest value in 8, -378, -98? -98 Which is the third biggest value? (a) 371/15 (b) -0.1 (c) 3 b What is the third biggest value in 5, 3/2159, -1/5, -2, -0.4? -1/5 What is the second biggest value in 13912, -0.2, 2? 2 What is the smallest value in 3, 1093, 2/7, 0.3? 2/7 Which is the third biggest value? (a) 5 (b) -1/10 (c) 5993 b What is the second biggest value in -78, -7, 2/9, -5/3, 4? 2/9 Which is the third smallest value? (a) -0.2 (b) -1899 (c) 7 c Which is the smallest value? (a) 1 (b) -0.1 (c) 3161 b What is the fourth biggest value in -2/11, -16, -22, 0.04? -22 What is the fourth biggest value in -20, -2/9, 5, -0.1, 6, 0.316? -0.1 What is the biggest value in 253, -4, 0.17? 253 What is the third smallest value in -5, 10, 17, 0.04? 10 What is the smallest value in -13, 0.1, -434? -434 Which is the biggest value? (a) -0.7 (b) -1/10 (c) -14/13 b What is the third smallest value in 3/7, 15, 1/115, 56? 15 What is the fourth smallest value in 4, -41, -486, 2? 4 Which is the biggest value? (a) 0.22 (b) 3 (c) -17 b Which is the biggest value? (a) 58401 (b) 0.1 (c) 1 a Which is the biggest value? (a) -9 (b) 5 (c) 0 (d) -4/7 (e) -6 b What is the third smallest value in -1, -2466, 218? 218 Which is the third smallest value? (a) -3/166 (b) -1 (c) 4/9 c What is the third biggest value in -7, 1/7, -0.2? -7 Which is the fifth smallest value? (a) 4 (b) 3/2791 (c) -2 (d) -2/9 (e) 2/5 a Which is the fifth biggest value? (a) 102 (b) -4 (c) -5 (d) 1/5 (e) 2 c What is the fourth biggest value in 3/7, 0.2, 15/2, 3/43? 3/43 What is the second biggest value in 5, 1492, -4, 43? 43 What is the biggest value in 0.03, 1/6, -3/20, 0.53? 0.53 What is the biggest value in 6/7, 871/6, -1/5, 0.9, -5? 871/6 What is the third biggest value in 1/6, 2/65, -0.08, -0.5? -0.08 Which is the third smallest value? (a) 0 (b) -62 (c) 12/7 (d) 55 c Which is the fourth smallest value? (a) -1/6 (b) 58 (c) 0.055 (d) -9 b What is the fourth smallest value in 2, -28, 0.4, -6/5, 5, 0? 0.4 What is the fourth biggest value in 78, 0.3, -138, -3/4? -138 What is the second smallest value in -67995, 0.04, -3? -3 What is the second biggest value in -8, 2/29, -2, 0.19, 1.7? 0.19 Which is the second biggest value? (a) 18 (b) -167/33 (c) 1 c Which is the third smallest value? (a) -3/13 (b) 13/180 (c) 4 (d) 1/6 d Which is the fourth biggest value? (a) 137 (b) 1 (c) 2 (d) -2/5 (e) 3/5 (f) 0.1 e What is the biggest value in -2/5, 0.5, -4, -8, -0.2, -572? 0.5 Which is the second biggest value? (a) -0.1 (b) -0.4 (c) -8 (d) 659 a Which is the sixth smallest value? (a) -47 (b) 53 (c) 0.1 (d) 0.12 (e) -3 (f) -0.2 b Which is the third smallest value? (a) 64 (b) -2/773 (c) 2/5 a What is the smallest value in -0.26, 3, 0.412, 5/2? -0.26 What is the second smallest value in -3, 3/53, 0.2, -19, -1, 0.1? -3 What is the second smallest value in 6, 3/8, 1/30? 3/8 Which is the biggest value? (a) 13 (b) -4 (c) 269.36 c Which is the third biggest value? (a) 5 (b) -1816 (c) 0.19 b Which is the sixth biggest value? (a) -12 (b) 1 (c) -0.5 (d) -5 (e) 4/7 (f) 2/449 a Which is the sixth biggest value? (a) -4 (b) -8/9 (c) -2/9 (d) 0 (e) -6 (f) -0.9 e What is the smallest value in 2/23, -14, -17, 4/5, -1/3? -17 What is the biggest value in 0.5, 4, -1/4, -19, -1/2, -6? 4 What is the third biggest value in -5, 262/7, 2/11, -4, -92? -4 Which is the third smallest value? (a) 2326/49 (b) 2 (c) 1/4 a What is the second biggest value in 0.164, -1/4, 0.13, -4/7, 3, -5? 0.164 What is the third smallest value in -4, 1/4, -0.1, -3/2, -25? -3/2 Which is the fifth smallest value? (a) -3/2 (b) 0 (c) -4 (d) 3 (e) -5/8 d Which is the smallest value? (a) -10 (b) 3 (c) -16375 c What is the smallest value in 7, -2/13, 0.23, 0.83? -2/13 What is the smallest value in 4578, 6, 2/7? 2/7 Which is the second biggest value? (a) -4/229 (b) -1/8 (c) -4 b Which is the third smallest value? (a) -26 (b) 3/5 (c) -1 (d) 0.0107 (e) 1/3 d Which is the sixth smallest value? (a) 1 (b) 0.2 (c) -1.5 (d) -0.15 (e) 5 (f) 3 e What is the second smallest value in 230, -4, 7, -2/181? -2/181 What is the third smallest value in -4, 45, -3, 33? 33 Which is the second smallest value? (a) 0.3 (b) -1 (c) 2/9 (d) -42305 (e) -5 e Which is the third smallest value? (a) -2/15 (b) 0.2 (c) 159 (d) 25 d What is the fourth biggest value in -273, -0.4, -0.5, 4? -273 What is the fourth biggest value in -0.091, 3.5, -2/197, -1/2? -1/2 What is the smallest value in -0.13, 5.1, -3.1? -3.1 What is the second smallest value in 27, -0.13, 15? 15 What is the third smallest value in 61/2, -0.3, -6, -4, -1/5, 1/4? -0.3 What is the biggest value in 3, -0.4, -16/5, 13? 13 Which is the second smallest value? (a) 1282 (b) 1/4 (c) -2/19 b What is the fourth biggest value in -57460, -1, -5, -0.2? -57460 Which is the fourth biggest value? (a) -194 (b) 1/4 (c) -1 (d) -2 (e) 3 d What is the fourth smallest value in 0.3, 18167, 0, 5, -2? 5 Which is the third smallest value? (a) -2 (b) -5 (c) 5 (d) 11 (e) 125 c What is the sixth biggest value in 1/9, -1, 1, -27, -4, -3? -27 What is the smallest value in 0, -5.4, 1/180? -5.4 Which is the smallest value? (a) 3/7 (b) -20/9 (c) 8/5 (d) -25 (e) -1/6 d What is the second biggest value in 2.3, -0.2, -141, 0.1, 0, 6? 2.3 Which is the fourth biggest value? (a) -4/7 (b) -4 (c) -1.82 (d) -2/7 b Which is the fifth biggest value? (a) 2 (b) -0.21 (c) -3/7 (d) 0.1 (e) 0.2 (f) -253 c Which is the fourth smallest value? (a) 0 (b) 136 (c) 0.4 (d) -1 (e) -1/7 (f) -1/15 a What is the second smallest value in 2/3, -46, 8, 836? 2/3 Which is the second smallest value? (a) -1/8 (b) 0.05 (c) -590 a Which is the biggest value? (a) -0.356 (b) 6 (c) -0.5 (d) 2/5 (e) -4 b What is the second smallest value in 14/3, 4, 1/9, -2.9, -3/7? -3/7 What is the fourth biggest value in -5, -3/7, -0.055, 6, -8? -5 What is the smallest value in 0.3, -20706, 1? -20706 Which is the smallest value? (a) 0.06 (b) -99627 (c) -1 (d) -2 b Which is the biggest value? (a) 246 (b) 0.17 (c) 1 (d) -2 a What is the biggest value in -1/10, 2/1259, -1/7? 2/1259 What is the second smallest value in 15, -0.22, -0.5, -0.3, 3/17? -0.3 What is the smallest value in 0.0786, 0.5, 3/4, -1? -1 What is the second smallest value in -4, 339/5, 7? 7 Which is the third biggest value? (a) 2 (b) -12/1411 (c) -95 c Which is the second smallest value? (a) -4 (b) 85 (c) -2/11 (d) 32 c Which is the fourth smallest value? (a) 0.5 (b) -3 (c) -3/8 (d) -346 (e) 1 a What is the biggest value in -1/3, 7.86, 2.9? 7.86 Which is the fifth biggest value? (a) -14 (b) 1 (c) -4/9 (d) 0 (e) -4/5 (f) 0.5 e Which is the third biggest value? (a) -2 (b) 8/633 (c) 2 a What is the fourth biggest value in -0.1,
{ "pile_set_name": "DM Mathematics" }
rk out -5946210 - 9.2503. -5946219.2503 Subtract -4.513 from -3774731086.7. -3774731082.187 Put together -529222 and -548.35. -529770.35 What is -0.0264 less than 2280.3897948? 2280.4161948 What is -7010022.383 minus -15? -7010007.383 Add 514624 and -0.083234. 514623.916766 What is 22493 - 29429261? -29406768 What is the distance between 0.08 and 40491.6338? 40491.5538 Sum 15756742 and -3.8679. 15756738.1321 Work out 8037 - 224874869. -224866832 What is -1.55 plus -517412.8338? -517414.3838 -0.023 + 9246.658677 9246.635677 What is the distance between -32.326826416 and -0.2? 32.126826416 What is 850232 less than -2156674? -3006906 Subtract 0.1 from -146671491.0384. -146671491.1384 What is -244569 - 16648752? -16893321 What is the difference between 38997508 and -26.059? 38997534.059 -0.007262256289757+-0.1 -0.107262256289757 988.104 + 662897 663885.104 Add together 993 and 2126176393. 2126177386 Subtract 5.33 from -0.019866987243. -5.349866987243 What is -35407472 - -107968? -35299504 Sum -6366091607 and 0.6111. -6366091606.3889 What is -37416 take away 11369604140? -11369641556 Work out -43022.6164 - -33. -42989.6164 What is -0.10096 - 102970474? -102970474.10096 -3.2 + 6504703618 6504703614.8 Calculate 157060841927 - 210. 157060841717 What is -196386 minus 3935586? -4131972 -0.12144028437021+0.2 0.07855971562979 What is 11.37 take away -641084608? 641084619.37 Add together 257707424 and 0.912. 257707424.912 Add -6871198774573 and -2. -6871198774575 What is -0.1 less than -24406573796715? -24406573796714.9 Work out 896320244471 + -0.04. 896320244470.96 Sum -190385021 and -0.063. -190385021.063 Calculate -0.4 - 469.604853893. -470.004853893 What is -0.18 less than -4988674130995? -4988674130994.82 24798696189+-3467 24798692722 23.6763857 + -2.3945 21.2818857 Put together 4003918.73964 and -4. 4003914.73964 Total of -36360 and 13598848. 13562488 Sum 9 and -556883.03471. -556874.03471 Work out 0.6 - 824647143. -824647142.4 Sum -1.046066 and -3756200. -3756201.046066 What is the difference between -0.095 and -838941713? 838941712.905 -1.4436068+97421.1 97419.6563932 What is -15012.07 take away -0.29179? -15011.77821 -105399.9524787+-0.6 -105400.5524787 Put together 19503490 and -2.82148. 19503487.17852 What is 95.8 - 2076.439079? -1980.639079 What is the difference between 0.0212 and 102.76084366? 102.73964366 Calculate -691.7929843375 + -2. -693.7929843375 Subtract -104.49427 from -31123678. -31123573.50573 -32356 - 4.09244128 -32360.09244128 Put together 1.15 and 90460324303. 90460324304.15 Work out 37333.846 - -133580.17. 170914.016 What is 187.0305 less than 142365? 142177.9695 What is -229384719 - 19.7? -229384738.7 What is 876 plus -0.0233401773? 875.9766598227 What is -1963208 minus 0.220032? -1963208.220032 Calculate -702 - 5644051716. -5644052418 Work out -435394725.35 - 1. -435394726.35 What is the distance between 10706516.483787 and 0.1? 10706516.383787 Calculate -12722432.858188 + 38. -12722394.858188 Work out -3739259234.7 + 0. -3739259234.7 Work out -1 - 3681893063000. -3681893063001 What is -12294681255 minus 2417? -12294683672 Sum 152955.37 and -3771.24. 149184.13 Put together -12.0753757 and 208153. 208140.9246243 What is 0.105676 less than 4034.81958? 4034.713904 What is 4372151171 take away -186? 4372151357 What is -85766.6526 + -28? -85794.6526 Subtract 217 from -428280.02. -428497.02 What is the distance between 0.0477773 and 5478.951? 5478.9032227 Work out -0.017 + -5441278.41. -5441278.427 What is -19360 less than 916.8990457? 20276.8990457 2.4 - 2075027.8658 -2075025.4658 3 - -74194470849 74194470852 -63713503+6232 -63707271 Total of 0.4 and -0.102836827024568. 0.297163172975432 What is 27.5476043 take away -17660.8? 17688.3476043 Subtract 314869513 from 0.925. -314869512.075 Sum -15.4639416954 and -0.4. -15.8639416954 Total of 1.3 and -3418183270903. -3418183270901.7 Total of 0.0961125 and -2.88341532. -2.78730282 What is 0.2 minus 23282791.34953? -23282791.14953 -333757 - 0.05328015 -333757.05328015 What is the difference between 1606905840 and -173? 1606906013 What is the difference between -0.055315737201 and 1? 1.055315737201 Total of -10079746228802 and 21. -10079746228781 Subtract 3229392967 from 35. -3229392932 What is 2502 take away 6650957566.92? -6650955064.92 Work out -1485437.425 - 205. -1485642.425 Add together 3620 and -13847471.896. -13843851.896 What is 7 plus 28102230083? 28102230090 Add together 2534034023.25 and -0.3. 2534034022.95 -46.711 - -101175784 101175737.289 Add -6705 and -0.3230659. -6705.3230659 Work out 0.7926527252456 - -0.3. 1.0926527252456 What is -82.4934066 + 14489? 14406.5065934 What is 26910790 - 795.596? 26909994.404 Calculate 1596.19 - 1044.546597. 551.643403 Put together 65.8929272 and -106538. -106472.1070728 Subtract 157413 from -1120352. -1277765 What is -1.4 plus 27425364416? 27425364414.6 What is 187 less than -0.13179330374? -187.13179330374 Work out 4053959505 + 9071. 4053968576 Calculate -65.56 + -368298229. -368298294.56 What is -336678 - -219247542? 218910864 Subtract -25 from -56071.390608. -56046.390608 What is the difference between 10132.03 and 0.8488? 10131.1812 Calculate -413315654 - -60. -413315594 What is the difference between -53.9493 and -1836991.3? 1836937.3507 -574+-244459300621 -244459301195 Calculate -22007 - 8091243.4. -8113250.4 What is the difference between -55694599607 and -12? 55694599595 -559559.22309362+-0.6 -559559.82309362 Work out -161151 + 720639.8. 559488.8 15.3 - 520144521662 -520144521646.7 Add -5.797 and -21777981. -21777986.797 What is -56417070.245 less than 0? 56417070.245 Subtract -263.601380959 from -8.48. 255.121380959 Sum 24 and 152548119. 152548143 What is 6.581859 + -69984.35? -69977.768141 Total of 0.05 and -0.8694963851. -0.8194963851 Subtract -1.16944117 from -432. -430.83055883 Work out 5 - -1002602835.2. 1002602840.2 What is 1 take away 13089211046585? -13089211046584 Add 3609.79 and 63557. 67166.79 What is -942385 minus 43915? -986300 Add 94585.38 and 0.528843. 94585.908843 What is -9724205813 - -1.39? -9724205811.61 What is -1.32854256 take away 203? -204.32854256 -191631907.6873 - 72 -191631979.6873 Add together 365261979412 and 1. 365261979413 Subtract -1836176.8911 from -0.165. 1836176.7261 What is the distance between 513600 and -2.1300006? 513602.1300006 Total of -18451140.4632 and -0.5. -18451140.9632 Sum 0.2142 and 56251759. 56251759.2142 -3811682.504 - 1282.7 -3812965.204 What is -774.782516 less than 0.083227? 774.865743 What is 65777.58221 less than 3784.1? -61993.48221 What is 5 plus 364969023759367? 364969023759372 Sum 891.257 and 4473.325. 5364.582 Calculate -8785.706 - -41749466. 41740680.294 What is 0.206779048 + -0.02029? 0.186489048 Calculate 1 + 3371035.8353. 3371036.8353 Subtract -1198824 from -736278.12. 462545.88 Sum -41 and 226875038687.1. 226875038646.1 Work out 52169505564922 - -4. 52169505564926 -1 - -31670382523 31670382522 Put together 0.2 and 15046.9257. 15047.1257 What is the distance between -2093379242 and 1953? 2093381195 0.784 - 406182000 -406181999.216 Total of -42047144012 and -9. -42047144021 Put together -8 and 23541608463. 23541608455 4.6103876 + 70391 70395.6103876 Work out 2699.037155 + -62331. -59631.962845 What is 16432508163 plus 1.421? 16432508164.421 Sum -0.206 and 0.25171469576. 0.04571469576 What is -404466267.5521 plus -4? -404466271.5521 Add 1.4646226 and -10658. -10656.5353774 -7708838 + 7365 -7701473 Work out 477 - 3574.736216. -3097.736216 Work out 30487241.234238 + -0.3. 30487240.934238 Calculate -1059804598 - 4462. -1059809060 What is -36961 minus 159659405? -159696366 Calculate 170.157 + 516138727. 516138897.157 Calculate -10.7566 + -110.70515. -121.46175 Total of 2114.6 and -26526767. -26524652.4 0.1+3.503212632187 3.603212632187 What is 17592.96 minus -23.34628? 17616.30628 Work out -1239966859 + 0.82. -1239966858.18 Put together 2.95 and 37188845486. 37188845488.95 What is 1351 - 64090236? -64088885 What is the distance between 0.5 and 33640644015? 33640644014.5 Add -0.1 and 2188.33092836. 2188.23092836 Work out 6.77378 + 410.692. 417.46578 What is 0.152409207 minus 10.61197? -10.459560793 What is 2907590548 take away -7425? 2907597973 Calculate 239730937761 - -34
{ "pile_set_name": "DM Mathematics" }
3*d + 105. Let v(s) = 49*s**2 + 37*s - 1295. Let q(j) = -74*r(j) - 6*v(j). Let u(l) = 4131*l. Determine u(q(c)). 8262*c**2 Let y(l) = -4*l - 38. Let c(f) = -5*f - 39*f + 27*f + 18*f. Determine c(y(h)). -4*h - 38 Let d(g) be the first derivative of -23*g**2/2 + 633. Let v(t) = t. Let z(x) = 7 + 4*x - 7. Let s(m) = 22*v(m) - 6*z(m). Determine d(s(n)). 46*n Let p(w) = 76*w**2 + 1. Let d(h) = 10595*h. Give p(d(v)). 8531305900*v**2 + 1 Let t(f) = f**2. Let x(l) = -23*l - 87. Let w be x(-8). Let p(s) = -51 + w - 46 - 63*s. What is t(p(n))? 3969*n**2 Let b(o) be the second derivative of 23*o**4/2 + 4943*o. Let n(j) = 55*j. Give b(n(w)). 417450*w**2 Let q(l) = 12*l - 4*l - 7*l. Suppose 3 = 2*z - 15. Let f(k) = -31*k**2 + z*k**2 + 13*k**2. Give q(f(a)). -9*a**2 Let r(y) = 2286*y**2 - 41*y - 6. Let n(k) = 134*k. Give n(r(f)). 306324*f**2 - 5494*f - 804 Let z(r) be the second derivative of -r**4/12 + 15*r + 25. Let f(w) = -5*w - 13*w + 0*w - 4*w. What is z(f(m))? -484*m**2 Let l(o) = 168*o - 60. Let x(g) = -97*g + 35. Let t(v) = -7*l(v) - 12*x(v). Let q(n) = 21*n - 10. What is t(q(s))? -252*s + 120 Let h(m) = -5*m + 8. Let k(a) = a - 12. Let r be k(14). Let y(o) = -6 + r*o + 3 + 0. Let t(g) = -3*h(g) - 8*y(g). Let d(i) = -17*i. Determine d(t(p)). 17*p Let n(h) be the third derivative of -h**7/2520 + 14*h**4/3 + 28*h**2. Let f(t) be the second derivative of n(t). Let x(s) = -45*s**2. What is x(f(b))? -45*b**4 Let x(m) = 6*m. Let k(d) = 5*d - 8*d - 2*d. Suppose 5*t = 5*c + 15, -5*t + 0*t = -4*c - 16. Let p(j) = t*x(j) + 5*k(j). Let q(f) = -6*f. Calculate p(q(r)). 6*r Let f = 2147 + 1193. Let z(q) = -q**3 - 11*q**2 - 7*q + 32. Let w be z(-10). Let g(s) = 8*s**w + 3340 - f. Let c(b) = -3*b**2. Determine c(g(k)). -192*k**4 Let r(x) = -62*x**2 + 32*x**2 + 34*x**2. Let p(c) = -4*c - 3. Let t(o) = -5 - 4 - 3*o + 0 + 7. Let f(l) = 2*p(l) - 3*t(l). Give f(r(d)). 4*d**2 Let p(w) = 6*w**2 - 372*w. Let i(k) = -3*k + 16489. Calculate i(p(q)). -18*q**2 + 1116*q + 16489 Let d(x) = 4*x**2. Let c(q) = 3*q + 17. Let u be c(27). Let o(a) = u*a**2 + 110*a**2 - 225*a**2. Determine d(o(k)). 1156*k**4 Let l(k) = k**3 + 9*k**2 - 30. Let g be l(-7). Let c(s) = -24*s + 70 + 13*s + 12*s - g. Let d(f) = 3*f. Determine d(c(p)). 3*p + 6 Let x(a) = -18*a. Let r(z) = 500815*z**2. What is x(r(n))? -9014670*n**2 Let i(h) = h**2 - 12917*h. Let s(f) = 225*f**2. What is i(s(q))? 50625*q**4 - 2906325*q**2 Let a = -362 + 284. Let h(p) = 650*p + 78. Let v(t) = -42*t - 5. Let g(b) = a*v(b) - 5*h(b). Let y(c) = -3*c. Give g(y(l)). -78*l Let r(d) = -68*d**2. Let j(w) = 63*w**2 + 28*w + 14. Let v(l) = 22*l**2 + 10*l + 5. Let m(s) = 5*j(s) - 14*v(s). Give r(m(u)). -3332*u**4 Let a(j) be the third derivative of -1/6*j**4 + 3 + 2*j**2 + 0*j + 0*j**3. Let u(l) = -l**2. What is u(a(z))? -16*z**2 Let h(n) = -564*n. Let m be (-18)/(-8) + (-7)/28. Let a(w) = m*w**2 + 4337 - 4337. Calculate h(a(f)). -1128*f**2 Let d(t) = -2300*t - 2297*t + 18*t**2 + 4597*t. Let p(j) = j**2 - 4*j**2 + 11*j**2 + j**2. What is p(d(h))? 2916*h**4 Let f(l) = 358*l + 23658. Let o(z) = 3*z. What is o(f(i))? 1074*i + 70974 Suppose 7*t - 660 = 4667. Let i(p) = -763*p + 5 - t*p + 1532*p. Let r(a) = -2*a. Calculate i(r(o)). -16*o + 5 Let j(b) = 50*b. Let t(w) = -66*w**2 + 2915*w. Calculate j(t(y)). -3300*y**2 + 145750*y Let m(y) be the third derivative of -8*y - 3*y**2 + 1/24*y**4 + 0 + 0*y**3. Let z(w) = -144*w. Give m(z(c)). -144*c Let u(w) = 8*w - 5*w - 6*w. Let k(j) = -j + 21. Let v(d) = 3*d - 62. Let i(f) = 11*k(f) + 4*v(f). Give i(u(z)). -3*z - 17 Let w(z) = 37*z + 1. Let l(j) = 218*j + 12. Let p(o) = -l(o) + 6*w(o). Let y(d) = 11*d. Determine p(y(s)). 44*s - 6 Let x(d) = -8*d. Let p(m) = 32*m + 47057. Determine p(x(s)). -256*s + 47057 Let s(j) = 62*j**2. Let u(i) be the second derivative of 5*i**3/6 + 5*i**2/2 + 66*i. Let g(r) = -5*r - 4. Let l(b) = -5*g(b) - 4*u(b). Calculate s(l(q)). 1550*q**2 Let o(l) = 21*l. Let u be (-1)/5 - (((-324)/20 - -10) + 4). Let t(f) be the first derivative of 0*f**u - 30 - 1/3*f**3 + 0*f. What is t(o(s))? -441*s**2 Let i(s) = 168*s + 8 - 9 - 169*s + 1. Let g(n) = 301*n**2 + 11. Calculate i(g(r)). -301*r**2 - 11 Let f(j) be the first derivative of -j**2 + 3. Let g(r) be the first derivative of 0*r - 2*r**2 + 8/3*r**3 + 31. Calculate g(f(l)). 32*l**2 + 8*l Let h(f) be the second derivative of f**3/3 - 14*f. Let d(j) = 111*j + 17. Let b(a) = -112*a - 13. Let r(k) = 4*b(k) + 3*d(k). Calculate r(h(g)). -230*g - 1 Let x(o) = o**2. Let n(h) = 1703*h**2 - 2117*h. Calculate n(x(k)). 1703*k**4 - 2117*k**2 Let a(q) = -32*q. Let l(i) = -2897*i**2 - 9*i + 2. Determine a(l(o)). 92704*o**2 + 288*o - 64 Let d(a) = 2*a. Let k = -11140 + 11140. Let t(j) be the second derivative of 1/3*j**3 + 27*j + k + 0*j**2. Determine t(d(u)). 4*u Let w(z) = 2495*z - 4. Let b(d) = -17474*d + 30. Let a(g) = 4*b(g) + 30*w(g). Let r(q) = -2*q. Determine a(r(u)). -9908*u Let w = 352 + -350. Let g(m) = 12*m + 50*m**2 - 49*m**w - 12*m. Let k(h) = 31*h. What is k(g(v))? 31*v**2 Let x(b) = b**2. Let k(v) be the second derivative of -5*v**4/4 + 50*v**2 + 104*v. Let n(a) be the first derivative of k(a). Calculate n(x(d)). -30*d**2 Let i(b) = 1094*b**2 - 108*b + 2. Let q(d) = -298662*d**2 + 29538*d - 547. Let v(c) = 1641*i(c) + 6*q(c). Let t(y) = -5*y**2. Calculate t(v(a)). -53857620*a**4 Let u(h) = 5 - 9*h - 5. Let g(j) = 51*j - 20. Let o(q) = 5*q - 2. Let p(d) = 3*g(d) - 30*o(d). What is u(p(y))? -27*y Let r(n) = 59*n**2. Let c(f) be the third derivative of -f**8/10080 - f**5/30 + 4*f**3/3 - 64*f**2. Let y(d) be the third derivative of c(d). Determine r(y(l)). 236*l**4 Let d(a) = 858*a**2 - 5*a + 15. Let o(n) = 859*n**2 - 4*n + 12. Let h(y) = 4*d(y) - 5*o(y). Let p(x) = -5*x**2. What is h(p(r))? -21575*r**4 Let k(n) = -n. Let c(q) = 17*q + 12545. Determine c(k(m)). -17*m + 12545 Let t(q) be the second derivative of 7*q**3/6 - 2*q. Let r(l) = -18. Let v(a) = a - 108. Let h(y) = 6*r(y) - v(y). Calculate t(h(d)). -7*d Let p(h) = -h**2. Let n(g) = -58160770*g**2. Calculate n(p(b)). -58160770*b**4 Let n(j) = 400551*j. Let r(b) = -3*b - 32. Give n(r(u)). -1201653*u - 12817632 Let s(z) = -803*z**2 + 584. Let x(c) = -2*c**2 - 2. Let f(i) = -s(i) - 292*x(i). Let n(g) = 2*g. Determine f(n(h)). 5548*h**2 Let z(g) be the first derivative of -367*g**3/3 - 13842. Let a(r) = -8*r**2. Determine z(a(k)). -23488*k**4 Let j(u) = -28975*u + 10. Let b(x) = -10*x. Calculate j(b(p)). 289750*p + 10 Let y(k) = -912 + 23*k - 22*k + 853. Let n(f) = -2 + 2*f**2 + 2. Calculate n(y(t)). 2*t**2 - 236*t + 6962 Let a(l) = 10*l + 120. Let w(c) = -12. Let p(f) = -8*a(f) - 80*w(f). Let k(b) = -21*b**2. What is k(p(d))? -134400*d**2 Let p(t) = 4*t + 0*t - 5*t + 0*t. Let f(n) be the third derivative of 0 + 3/20*n**5 + 0*n**3 + 0*n**4 - 24*n**2 + 0*n. Give p(f(j)). -9*j**2 Let n(d) = -d - 2510. Let v(b) = -780*b**2. Give n(v(f)). 780*f**2 - 2510 Let n = 261 + -65. Let f(s) = -400*s**2 + 196*s**2 + n*s**2. Let v(a) = 2*a**2. What is f(v(r))? -32*r**4 Let h(m) = 3*m**2 + 3*m. Let n(u) be the first derivative of 5*u**3 + 80. What is h(n(g))? 675*g**4 + 45*g**2 Let r(c) = -3*c - 4. Let l(a) = -16*a - 24. Let d(o) = -l(o) + 6*r(o). Let f(m) = -6*m**2 + m. Give f(d(y)). -24*y**2 - 2*y Let v(m) be the first derivative of -1/3*m**3 + 0*m - 1 + 0*m**2. Let z(b) = -50*b + 1. Let s(r) = 3735*r - 75. Let n(i) = -s(i) - 75*z(i). Calculate n(v(q)). -15*q**2 Let n(z) = 6*z**2 + 2*z - 1. Let a(s) = -22*s**2 - 8*s - 32. Let y(h) = -a(h) - 4*n(h). Let g(o) = -52*o. What is g(y(i))? 104*i**2 - 1872 Let t(s) = -s**2 - 11*s - 9. Let n(o) = 3*o**2 + 7*o + 6. Let b(p) = 3*n(p) + 2*t(p). Let j(r) = -1 + 2*r + 1. Determine b(j(m)). 28*m**2 - 2*m Let i(x) = -14*x**2 - 89*x - 225. Let n(h) = h. Determine n(i(g)). -14*g**2 - 89*g - 225 Let i be -21*(3 + 40/(-12)). Let h(j) = 13*j + 21. Let g(m) = -9*m - 15. Let u(l) = i*g(l) + 5*h(l). Let n(x) = 7*x. What is u(n(d))? 14*d Let m(l) = -85941 + 20*l + 85941 - 82*l - 9*l. Let h(i) = -4*i**2 - 7. Calculate h(m(v)). -20164*v**2 - 7 Let y(x) be the first derivative of 11*x**2 + 10007. Let d(u) = 10*u**2 + 16. What is y(d(h))? 220*h**2 + 352 Let q(u) = 1917*u**2 - 995*u**2 + 2854*u**2. Let w(g) = 2*g**2. What is w(q(h))? 28516352*h**4 Let r(u) be the third
{ "pile_set_name": "DM Mathematics" }
What is -46 (base 14) in base 12? -52 5 (base 14) to base 5 10 -1 (base 4) to base 7 -1 What is 60 (base 12) in base 13? 57 Convert 4 (base 12) to base 10. 4 What is -110 (base 3) in base 8? -14 What is -20100 (base 3) in base 9? -210 Convert -3 (base 11) to base 9. -3 Convert -16 (base 11) to base 14. -13 0 (base 14) to base 15 0 What is 7 (base 14) in base 4? 13 What is 3 (base 10) in base 3? 10 What is 10111011 (base 2) in base 5? 1222 Convert -4 (base 5) to base 10. -4 22 (base 11) to base 14 1a Convert -11 (base 4) to base 13. -5 Convert 5a (base 14) to base 10. 80 Convert 0 (base 8) to base 5. 0 -301 (base 4) to base 7 -100 What is -2202 (base 3) in base 4? -1022 Convert -5 (base 13) to base 2. -101 -18 (base 11) to base 14 -15 Convert -24 (base 11) to base 8. -32 Convert -1 (base 2) to base 15. -1 Convert -3 (base 6) to base 13. -3 1 (base 10) to base 16 1 Convert -17 (base 11) to base 3. -200 434 (base 6) to base 3 20011 Convert 35 (base 14) to base 4. 233 -1 (base 5) to base 13 -1 What is -131 (base 4) in base 13? -23 Convert -1 (base 2) to base 7. -1 Convert -110 (base 4) to base 16. -14 Convert 33 (base 13) to base 6. 110 What is 17 (base 11) in base 7? 24 1 (base 16) to base 4 1 10 (base 15) to base 2 1111 1 (base 2) to base 16 1 Convert 23 (base 11) to base 9. 27 -1 (base 5) to base 11 -1 Convert 12 (base 3) to base 13. 5 -65 (base 8) to base 4 -311 What is 37 (base 10) in base 7? 52 What is 1 (base 12) in base 4? 1 What is -3 (base 11) in base 7? -3 -17 (base 12) to base 2 -10011 Convert 67 (base 8) to base 5. 210 What is -12 (base 8) in base 4? -22 What is -54 (base 6) in base 9? -37 110100 (base 2) to base 7 103 What is 40 (base 15) in base 12? 50 What is 110 (base 3) in base 2? 1100 Convert 3 (base 15) to base 12. 3 What is 22 (base 6) in base 10? 14 What is 9 (base 12) in base 7? 12 10 (base 15) to base 13 12 Convert -2a (base 11) to base 10. -32 101010 (base 2) to base 3 1120 1 (base 7) to base 9 1 2 (base 3) to base 6 2 Convert -121 (base 4) to base 5. -100 10 (base 5) to base 13 5 132 (base 5) to base 8 52 What is 4 (base 6) in base 13? 4 What is -17a (base 14) in base 4? -10300 What is -1 (base 5) in base 2? -1 213 (base 4) to base 10 39 What is 2 (base 11) in base 13? 2 10 (base 10) to base 16 a What is 4b (base 13) in base 11? 58 -5 (base 11) to base 7 -5 What is -14 (base 12) in base 9? -17 3 (base 8) to base 5 3 What is -2 (base 10) in base 8? -2 2 (base 7) to base 12 2 What is -123 (base 5) in base 16? -26 Convert -43 (base 6) to base 11. -25 Convert 155 (base 13) to base 2. 11101111 -532 (base 8) to base 6 -1334 -4 (base 16) to base 15 -4 Convert 1a (base 14) to base 6. 40 What is -12 (base 5) in base 4? -13 What is -1122 (base 3) in base 12? -38 0 (base 7) to base 8 0 1 (base 8) to base 4 1 Convert -202 (base 4) to base 2. -100010 10 (base 2) to base 15 2 2 (base 5) to base 15 2 What is -1 (base 16) in base 7? -1 What is -5 (base 9) in base 7? -5 What is 2 (base 8) in base 3? 2 -10 (base 7) to base 15 -7 10 (base 14) to base 8 16 303 (base 6) to base 12 93 What is -43 (base 14) in base 15? -3e -26 (base 12) to base 3 -1010 -145 (base 7) to base 4 -1102 Convert -a8 (base 12) to base 3. -11202 What is 1 (base 7) in base 16? 1 What is 5 (base 7) in base 10? 5 What is -1 (base 14) in base 6? -1 Convert -4 (base 8) to base 10. -4 What is -3 (base 9) in base 10? -3 Convert 11 (base 3) to base 15. 4 Convert -1 (base 11) to base 12. -1 -4 (base 9) to base 3 -11 Convert 1 (base 4) to base 3. 1 -1a (base 13) to base 9 -25 Convert 222 (base 4) to base 16. 2a Convert -3301 (base 4) to base 6. -1041 -5 (base 10) to base 14 -5 What is -27 (base 8) in base 15? -18 Convert 332 (base 6) to base 7. 242 1a (base 11) to base 10 21 What is 25 (base 8) in base 12? 19 What is 5 (base 6) in base 11? 5 -122 (base 3) to base 4 -101 What is -22 (base 4) in base 14? -a 1211 (base 5) to base 2 10110101 What is -3303 (base 4) in base 2? -11110011 What is -b (base 15) in base 16? -b Convert -2 (base 3) to base 4. -2 -12 (base 11) to base 9 -14 545 (base 6) to base 10 209 83 (base 16) to base 10 131 What is -16 (base 7) in base 3? -111 Convert 12 (base 4) to base 2. 110 What is -4 (base 9) in base 12? -4 Convert -6 (base 11) to base 6. -10 What is 13 (base 5) in base 9? 8 -2 (base 11) to base 14 -2 Convert -1 (base 11) to base 6. -1 What is -80 (base 10) in base 3? -2222 Convert 36 (base 7) to base 11. 25 Convert -2 (base 13) to base 4. -2 Convert -108 (base 12) to base 13. -b9 Convert -3 (base 13) to base 3. -10 Convert -432 (base 5) to base 4. -1311 6 (base 14) to base 13 6 Convert 6 (base 11) to base 5. 11 Convert 48 (base 10) to base 16. 30 -5 (base 6) to base 4 -11 3 (base 7) to base 6 3 -59 (base 16) to base 5 -324 -13 (base 4) to base 7 -10 What is 2242 (base 5) in base 8? 502 Convert -15 (base 14) to base 3. -201 What is 1 (base 4) in base 16? 1 What is -11 (base 2) in base 9? -3 3 (base 15) to base 3 10 What is 1c (base 14) in base 2? 11010 What is 12 (base 8) in base 4? 22 What is -10 (base 5) in base 11? -5 Convert -60 (base 13) to base 6. -210 Convert -1011 (base 2) to base 16. -b Convert 220 (base 3) to base 11. 22 Convert -36 (base 13) to base 5. -140 What is -11011 (base 3) in base 4? -1300 Convert -3 (base 9) to base 3. -10 -90 (base 15) to base 11 -113 What is -14 (base 9) in base 12? -11 0 (base 12) to base 15 0 Convert -15 (base 13) to base 16. -12 What is 6 (base 14) in base 2? 110 Convert 18 (base 11) to base 5. 34 What is -7 (base 13) in base 15? -7 Convert 21000 (base 3) to base 9. 230 1 (base 8) to base 2 1 What is -2 (base 12) in base 16? -2 -10 (base 14) to base 8 -16 10 (base 2) to base 14 2 Convert -11 (base 2) to base 15. -3 6 (base 7) to base 9 6 Convert 10000 (base 3) to base 8. 121 Convert -3 (base 8) to base 10. -3 -11100001 (base 2) to base 15 -100 -141 (base 5) to base 11 -42 -47 (base 8) to base 3 -1110 Convert 31 (base 9) to base 2. 11100 What is -2b (base 12) in base 15? -25 -1 (base 4) to base 3 -1 What is -1 (base 9) in base 11? -1 Convert -21 (base 6) to base 10. -13 Convert -11121 (base 3) to base 6. -324 -10001011 (base 2) to base 4 -2023 Convert 312 (base 5) to base 6. 214 -17 (base 12) to base 16 -13 What is 8 (base 12) in base 13? 8 31 (base 5) to base 8 20 89 (base 10) to base 3 10022 What is 69 (base 12) in base 15? 56 5 (base 7) to base 10 5 Convert -4 (base 11) to base 4. -10 1 (base 10) to base 16 1 What is 6 (base 8) in base 12? 6 What is -1132 (base 4) in base 7? -163 What is 3 (base 8) in base 13? 3 Convert -119 (base 11) to base 5. -1031 0 (base 4) to base 7 0 -21 (base 9) to base 2 -10011 -2031 (base 4) to base 7 -261 Convert 100 (base 2) to base 13. 4 Convert 4 (base 6) to base 8. 4 -220 (base 5) to base 9 -66 What is -3 (base 6) in base 15? -3 20011 (base 3) to base 9 204 0 (base 10) to base 6 0 46 (base 10) to base 3 1201 What is -432 (base 5) in base 15? -7c What is 20 (base 6) in base 8? 14 Convert 2020 (base 3) to base 10. 60 20 (base 8) to base 2 10000 70 (base 9) to base 5 223 What is -d (base 14) in base 13? -10 1 (base 6) to base 2 1 Convert 3 (base 15) to base 8. 3 Convert -1 (base 16) to base 5. -1 Convert 11 (base 3) to base 4. 10 100 (base 14) to base 15 d1 Convert 281 (base 9) to base 15. 10a Convert -1 (base 4) to base 2. -1 What is 24 (base 14) in base 16? 20 Convert -21 (base 13) to base 2. -11011 -111 (base 10) to base 11 -a1 Convert 16 (base 13) to base 4. 103 What is 146 (base 12) in base 8? 306 -202 (base 3) to base 2 -10100 What is 93 (base 14) in base 12? a9 What is 5f (base 16) in base 7? 164 Convert a0 (base 13) to base 16. 82 What is 47 (base 14) in base 9? 70 10211 (base 4) to base 2 100100101 -135 (base 6) to base 7 -113 Convert -8 (base 16) to base 3. -22 2 (base 10) to base 15 2 120 (base 3) to base 15 10 Convert 3 (base 11) to base 13. 3 What is 5 (base 10) in base 11? 5 What is 12 (base 4) in base 15? 6 -2102 (base 5) to base 4 -10111 What is 1111001 (base 2) in base 6? 321 Convert 5b (base 14) to base 5. 311 -3 (base 11) to base 16 -3 26a (base 11) to base 9 383 What is 20 (base 5) in base 13? a What is 2110 (base 3) in base 16? 42 Convert -1 (base 14) to base 10. -1 1 (base 5) to base 8 1 What is 31 (base 4) in base 10? 13 -4 (base 13) to base 14 -4 Wh
{ "pile_set_name": "DM Mathematics" }
is -28876 + -2? -28878 In base 13, what is -14 - -3c2? 3ab In base 5, what is 0 + 134231342? 134231342 In base 16, what is -2c0 - -3f? -281 In base 11, what is -3423 - -11? -3412 In base 12, what is -7119 + 1? -7118 In base 4, what is -10 + -2221302132? -2221302202 In base 15, what is -7 - -40d? 406 In base 7, what is -13445 - 16? -13464 In base 12, what is -56a6 - -2? -56a4 In base 7, what is -4 - -10542? 10535 In base 5, what is -332 - -124142? 123310 In base 16, what is 13 - -583e? 5851 In base 9, what is 28 + -577? -548 In base 9, what is -35228 + 118? -35110 In base 2, what is -10000101 + -11111100100011? -11111110101000 In base 16, what is 18 - -152? 16a In base 12, what is 238 - -60? 298 In base 4, what is 10 + -103032021? -103032011 In base 6, what is -3355032 - 1? -3355033 In base 6, what is -1435410 - -210? -1435200 In base 13, what is -5 + -57864? -57869 In base 5, what is 2 + -110422000? -110421443 In base 15, what is 24b3 - -113? 25c6 In base 11, what is -19026 - 46? -19071 In base 2, what is 10 - 1000001110011110? -1000001110011100 In base 5, what is -1 + -12323? -12324 In base 16, what is 14 + -854? -840 In base 15, what is -4924e + -2? -49251 In base 2, what is 11 + 10010010110110100011? 10010010110110100110 In base 5, what is 1 + -2101222? -2101221 In base 4, what is 2 - 123001311? -123001303 In base 4, what is 311213 + 32? 311311 In base 8, what is 1503630 - -3? 1503633 In base 2, what is 10111011 + -10001000? 110011 In base 13, what is 5 - -1492? 1497 In base 13, what is 2cca + 0? 2cca In base 14, what is -5 + 5c956? 5c951 In base 10, what is -349 - 87? -436 In base 3, what is -11 + -111101112? -111101200 In base 15, what is 1115 - -3? 1118 In base 4, what is -1 + 233100011? 233100010 In base 6, what is 3451 + -1301? 2150 In base 9, what is -27281 + -2? -27283 In base 14, what is -16125 - 2? -16127 In base 15, what is -7b - 160? -1db In base 10, what is 1 + -83977? -83976 In base 8, what is 1 - 2244421? -2244420 In base 16, what is -3 + -1ea? -1ed In base 14, what is -3 - 22c1? -22c4 In base 13, what is 10 - -589b? 58ab In base 6, what is 2 + 135543? 135545 In base 15, what is -8 - 975d? -9766 In base 11, what is -8 - -46430? 46423 In base 10, what is 9 - 77318? -77309 In base 7, what is -202 + 254? 52 In base 4, what is 112120102 + 3? 112120111 In base 2, what is 1010000 + 100110? 1110110 In base 10, what is -90252 - -6? -90246 In base 5, what is 10 - -211242240? 211242300 In base 2, what is 11111000010010011111 + -10? 11111000010010011101 In base 13, what is -1c67 + -98? -2032 In base 12, what is -30 + -196? -206 In base 9, what is 331064 + 0? 331064 In base 13, what is 2aa7 - 3? 2aa4 In base 16, what is 5 + -be16? -be11 In base 8, what is 1 + -67163? -67162 In base 13, what is 8464 - -1? 8465 In base 2, what is 100001110000101011 + -1? 100001110000101010 In base 4, what is -23103023 - -113? -23102310 In base 10, what is 5715 - -1? 5716 In base 6, what is -3 + 2003333? 2003330 In base 15, what is 17 - -8980? 8997 In base 12, what is 0 + -20a? -20a In base 6, what is 355 - -422? 1221 In base 2, what is 100100 + -100101100010101? -100101011110001 In base 2, what is 10110100100000 - 100? 10110100011100 In base 14, what is -2 - -1a584? 1a582 In base 14, what is 488 - -b5? 55d In base 2, what is 1010111010 - -11000001? 1101111011 In base 14, what is -12 - -190d? 18db In base 8, what is 32356 + 2? 32360 In base 12, what is -1 + -16800? -16801 In base 14, what is -5 + 43a0? 4399 In base 13, what is 235 + -18a? 78 In base 5, what is -230 + 141? -34 In base 15, what is 12bb9 - -2? 12bbb In base 2, what is 111 - 10010001110111? -10010001110000 In base 14, what is 83 + -42b? -388 In base 13, what is 30205 - -a? 30212 In base 15, what is -20018 - 0? -20018 In base 4, what is -1 + 3222133? 3222132 In base 12, what is -2 - -2270? 226a In base 9, what is 607 + -1188? -481 In base 11, what is -138 + 2228? 20a0 In base 8, what is -312 - 44? -356 In base 7, what is -31 + -2613662? -2614023 In base 13, what is -5 + -7594? -7599 In base 16, what is -1a7d2 - 5? -1a7d7 In base 9, what is 4 - -465? 470 In base 7, what is 2253425 + -5? 2253420 In base 10, what is -2 + -10471? -10473 In base 10, what is 15050 + -3? 15047 In base 6, what is -5234 - 45? -5323 In base 13, what is 48 - -3cb4? 402c In base 8, what is -1 - -21212? 21211 In base 13, what is -8 - -181? 176 In base 10, what is 54 - -3326? 3380 In base 14, what is 642 + 2b3? 915 In base 13, what is -bc5c80 - 3? -bc5c83 In base 9, what is 28 + 166? 205 In base 11, what is 9 - aa6? -a98 In base 7, what is -4 + -26265? -26302 In base 6, what is 3 - 42520? -42513 In base 9, what is -3762 - 2? -3764 In base 2, what is -100 + 11010001110111111? 11010001110111011 In base 9, what is 126 - 5? 121 In base 15, what is b7dc6 + 0? b7dc6 In base 2, what is 1010101001111010 - -11100? 1010101010010110 In base 12, what is 88 - 286a? -27a2 In base 8, what is -75467341 - -1? -75467340 In base 15, what is 1e72 + 9? 1e7b In base 2, what is 10110001 - 110100011? -11110010 In base 3, what is -102 - -10020121? 10020012 In base 3, what is 10 + -2002012211? -2002012201 In base 15, what is 0 - -c9bc4? c9bc4 In base 10, what is 9 - 4646? -4637 In base 3, what is 20211200221 - -1? 20211200222 In base 14, what is -49 + 10bc? 1073 In base 12, what is 11bba3 - -3? 11bba6 In base 10, what is -11962 + 7? -11955 In base 7, what is 2 - -62151? 62153 In base 14, what is c249 + 53? c29c In base 13, what is -16 - -616a5? 6168c In base 5, what is 4 + -231010? -231001 In base 7, what is 44325 + 5? 44333 In base 4, what is -10021 + -11221? -21302 In base 3, what is -121110 - 101210? -1000020 In base 3, what is 10021012020 + 11? 10021012101 In base 14, what is 4320c + d? 4321b In base 7, what is 0 - 10104600? -10104600 In base 10, what is -3 + -285588? -285591 In base 5, what is -1021223 + 2? -1021221 In base 9, what is 3 - -16258? 16262 In base 14, what is -834 - -12b? -707 In base 12, what is -127b2 - 3? -127b5 In base 14, what is 261d + -56? 25a7 In base 11, what is 5 - 4899a9? -4899a4 In base 8, what is -4060 + -6? -4066 In base 10, what is -108168 + -29? -108197 In base 2, what is -101101000 + -100000011001? -100110000001 In base 15, what is -2 - -a3a30? a3a2d In base 6, what is -1020 + -1011? -2031 In base 12, what is 2541b5b - -5? 2541b64 In base 16, what is 19 - 132? -119 In base 3, what is -102 - -2010002010? 2010001201 In base 13, what is 381 + -33? 34b In base 4, what is 11 + -2020010203? -2020010132 In base 9, what is 54835 - 1? 54834 In base 11, what is -41 - -40a4? 4063 In base 14, what is 5 - 104a5? -104a0 In base 2, what is 1001011100011 - 11010? 1001011001001 In base 6, what is 101315500 - -5? 101315505 In base 13, what is 6 - 12217a? -122174 In base 16, what is -af1c + d? -af0f In base 5, what is -200 - 11000? -11200 In base 2, what is -10 - 100010010010010100010? -100010010010010100100 In base 13, what is -20 - -122c9? 122a9 In base 11, what is 8 - -a9a? aa7 In base 6, what is -2513102 - 3? -2513105 In base 16, what is 24e + 19d? 3eb In base 11, what is -23121 + -1? -23122 In base 16, what is -15 + -117cd? -117e2 In base 5, what is 2114 + -131? 1433 In base 13, what is -a - 56? -63 In base 6, what is 344 + -43530? -43142 In base 6, what is -1230 + 54331? 53101 In base 11, what is -11015 + 170? -10955 In base 14, what is 1 + -16975? -16974 In base 7, what is -2365 - 126? -2524 In base 16, what is 1 - -1f54a? 1f54b In base 16, what is 209 + -3b7e? -3975 In base 10, what is 82 + 10308? 10390 In base 6, what is -10210 + 240? -5530 In base 14, what is -88 - 38c? -436 In base 11, what is -2 + 45806? 45804 In base 12, what is -9 - -11b79? 11b70 In base 11, what is 532 - 157? 386 In base 11, what is -1 + -9625? -9626 In base 12, what is 25a + 56b2? 5950 In base 3, what is -22001002122101 + -2? -22001002122110 In base 8, what is 4 - -71773? 71777 In base 5, what is 320102323 - 10? 320102313 In base 7, what is 1 + 105345? 105346 In base 8, what is -1 + -17441? -17442 In base 8, what is 707217 - -6? 707225 In base 14, what is 47 + -182? -139 In base 16, what is 7 + 9922? 9929 In base 16, what is 1501ff - 1? 1501fe In base 7, what is -620553 + -2? -620555 In base 4, what is -1210230 - -10? -1210220 In base 6, what is -2
{ "pile_set_name": "DM Mathematics" }
65? True Is 10584 a multiple of 63? True Is 16 a factor of 260204? False Does 220 divide 529449? False Is 358 a factor of 1189448? False Does 233 divide 1018272? False Is 17 a factor of 127670? True Does 22 divide 678260? True Is 1298892 a multiple of 49? True Is 141942 a multiple of 382? False Is 228 a factor of 14307000? True Is 875 a factor of 620375? True Is 537 a factor of 574644? False Does 1438 divide 11846244? True Does 174 divide 41586? True Does 44 divide 13367078? False Is 131 a factor of 2654260? False Is 397 a factor of 2221215? True Does 72 divide 9531504? True Does 55 divide 34870? True Does 22 divide 30509? False Does 187 divide 303501? True Is 56 a factor of 76048? True Is 26 a factor of 24161? False Does 116 divide 7103492? True Does 166 divide 234880? False Is 1944 a multiple of 18? True Is 28144470 a multiple of 267? True Is 11680 a multiple of 20? True Is 227922 a multiple of 404? False Does 594 divide 10754964? True Is 31 a factor of 161797? False Does 14 divide 225533? False Is 13 a factor of 23112595? False Is 20 a factor of 2589340? True Is 58 a factor of 6464721? False Does 454 divide 1658008? True Does 507 divide 380250? True Is 73 a factor of 7015256? False Is 949060 a multiple of 11? False Is 43358 a multiple of 105? False Does 6 divide 170406? True Does 117 divide 9237967? False Does 8 divide 43712? True Is 15 a factor of 5436540? True Does 28 divide 134581? False Is 491400 a multiple of 13? True Is 38016 a multiple of 12? True Does 14 divide 2718646? True Does 4 divide 38428? True Does 41 divide 1084924? False Is 13 a factor of 2315179? False Is 293 a factor of 109289? True Is 15 a factor of 177585? True Is 1350909 a multiple of 123? True Is 69 a factor of 27342? False Does 210 divide 101010? True Is 2707089 a multiple of 77? True Is 1956 a factor of 301224? True Is 32 a factor of 7884? False Does 50 divide 208539? False Is 670796 a multiple of 9? False Does 263 divide 42080? True Is 785833 even? False Is 1505632 a multiple of 4? True Does 4 divide 12423? False Is 136381 a multiple of 7? True Does 39 divide 1116453? True Does 31 divide 8528831? False Does 17 divide 29180? False Does 70 divide 202020? True Does 247 divide 237367? True Is 66 a factor of 764676? True Is 616 a factor of 10762752? True Does 134 divide 90986? True Is 6 a factor of 103359? False Is 24 a factor of 248774? False Is 57 a factor of 448059? False Is 572 a factor of 416786? False Does 14 divide 1424345? False Is 19 a factor of 754347? False Is 8 a factor of 5897? False Is 542 a factor of 1475866? True Is 184 a factor of 14184? False Is 150576 a multiple of 12? True Is 143758 a multiple of 1176? False Does 79 divide 53728? False Is 19 a factor of 368011? True Is 4 a factor of 1910592? True Is 37 a factor of 2123800? True Does 340 divide 609280? True Is 59939 a multiple of 42? False Is 11 a factor of 447970? False Does 125 divide 46147? False Is 66 a factor of 1818199? False Is 48 a factor of 893328? True Is 30 a factor of 1730160? True Is 116768 a multiple of 188? False Is 23 a factor of 119646? True Does 1346 divide 1942278? True Does 73 divide 641784? False Is 1453896 a multiple of 24? True Does 29 divide 16433981? True Is 254 a factor of 122951? False Does 424 divide 221352? False Does 388 divide 97388? True Does 224 divide 849408? True Is 5 a factor of 23690? True Does 29 divide 462202? True Does 232 divide 200937? False Does 62 divide 5016? False Is 58 a factor of 2201476? False Is 180651 a multiple of 248? False Is 9727050 a multiple of 285? True Is 803020 a multiple of 75? False Is 9 a factor of 53334? True Does 23 divide 966096? False Does 13 divide 176101? False Is 33 a factor of 199732? False Is 103 a factor of 3267716? False Is 1958196 a multiple of 204? True Is 2622825 a multiple of 45? True Is 66171 a multiple of 137? True Is 18 a factor of 332167? False Is 501 a factor of 333666? True Does 13 divide 4749641? True Is 16 a factor of 194672? True Is 13 a factor of 270205? True Is 31 a factor of 3741? False Is 523265 a multiple of 229? True Does 12 divide 695709? False Does 6 divide 56388? True Is 2181256 a multiple of 11? True Is 198975 a multiple of 7? True Does 74 divide 50838? True Is 551352 a multiple of 12? True Does 3 divide 13417? False Is 10 a factor of 270826? False Does 116 divide 4147902? False Is 76 a factor of 2369528? True Is 16 a factor of 7767292? False Does 2 divide 596037? False Is 43 a factor of 1680569? True Is 1974302 a multiple of 473? True Is 7 a factor of 18243687? True Is 4 a factor of 1373040? True Is 24 a factor of 1615632? True Is 9 a factor of 465084? True Is 301264 a multiple of 70? False Does 154 divide 5870439? False Is 791 a factor of 106721? False Does 106 divide 3593824? True Is 109 a factor of 13516? True Is 2 a factor of 480856? True Is 507332 a multiple of 133? False Does 566 divide 6172230? True Is 8 a factor of 1767483? False Is 9 a factor of 308367? True Is 432 a factor of 22451587? False Is 166 a factor of 2568518? True Does 740 divide 1261616? False Does 170 divide 317000? False Does 104 divide 17254189? False Is 33 a factor of 1892451? True Is 28659 a multiple of 181? False Is 4424618 a multiple of 46? False Is 13 a factor of 853641? False Does 265 divide 4649955? True Is 441 a factor of 593586? True Is 2187 a factor of 17784684? True Is 1196742 a multiple of 72? False Is 231136 a multiple of 32? True Does 91 divide 924885? False Is 98131 a multiple of 121? True Does 60 divide 288780? True Is 5330520 a multiple of 936? True Is 168 a factor of 111348? False Is 22475 a multiple of 145? True Does 146 divide 23926105? False Is 16929139 a multiple of 29? False Does 474 divide 6200891? False Is 503600 a multiple of 8? True Does 14 divide 662411? False Is 10 a factor of 1844923? False Is 11 a factor of 108240? True Does 21 divide 45424? False Is 553690 a multiple of 50? False Does 379 divide 1759416? False Is 1574967 a multiple of 47? False Is 2278335 a multiple of 149? False Is 12 a factor of 344016? True Is 160 a factor of 440729? False Does 47 divide 665987? False Is 1121778 a multiple of 126? True Is 100888 a multiple of 4? True Is 133305 a multiple of 56? False Is 328977 a multiple of 421? False Does 35 divide 1190? True Does 37 divide 204203? True Does 9 divide 113823? True Does 843 divide 3035643? True Is 306120 a multiple of 60? True Is 33281644 a multiple of 11? True Does 18 divide 395766? True Is 293268 a multiple of 107? False Is 435572 a multiple of 21? False Does 1179 divide 5330259? True Is 777 a factor of 3050375? False Does 12 divide 265038? False Is 1479 a factor of 1505622? True Is 5 a factor of 682544? False Does 15 divide 74041? False Does 132 divide 18206661? False Is 932 a factor of 2133658? False Is 2746 a multiple of 59? False Does 55 divide 3827894? False Does 369 divide 36900? True Is 38 a factor of 78992? False Is 68 a factor of 880940? True Is 104978 a multiple of 29? False Is 2514493 a multiple of 9? False Does 16 divide 780252? False Does 24 divide 1820448? True Does 12 divide 2092096? False Does 90 divide 3153240? True Is 31406 a multiple of 216? False Is 7 a factor of 58644? False Does 14 divide 2015938? False Is 1341083 a multiple of 22? False Does 14 divide 394967? False Is 42 a factor of 6937980? True Is 11550 a multiple of 110? True Does 4 divide 132815? False Does 166 divide 8938104? True Does 145 divide 462115? True Does 55 divide 19706? False Is 5 a factor of 38021? False Is 839867 a multiple of 25? False Does 98 divide 16167802? False Is 147744 a multiple of 27? True Is 4 a factor of 1696? True Is 35 a factor of 18585? True Does 112 divide 202608? True Does 21 divide 79716? True Does 44 divide 7099953? False Is 1318169 a multiple of 554? False Does 85 divide 574515? True Is 1261715 a multiple of 13? True Is 4 a factor of 6264636? True Is 742122 a multiple of 38? False Is 4785426 a multiple of 69? True Is 82008 a multiple of 136? True Is 4 a factor of 2328916? True Does 266 divide 213066? True Is 17 a factor of 2025588? False Is 23 a factor of 31940? False Is 179 a factor of 1410025? False Is 1813878 a multiple of 20? False Does 28 divide 55001? False Is 45963 a multiple of 16? False Is 260 a factor of 400400? True Is 558200 a multiple of 321? False Doe
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from ugkkkuuu. 3/7 Calculate prob of picking 1 g, 1 a, and 1 y when three letters picked without replacement from aagayagyyy. 4/15 Four letters picked without replacement from {u: 7, g: 3}. Give prob of picking 3 g and 1 u. 1/30 Two letters picked without replacement from iiqiiqtqqiiiitii. What is prob of picking 1 q and 1 i? 1/3 Three letters picked without replacement from {u: 1, i: 1, m: 3, e: 1, b: 1}. Give prob of picking 1 m, 1 u, and 1 i. 3/35 Four letters picked without replacement from {m: 9, i: 2, c: 5}. Give prob of picking 1 c and 3 m. 3/13 Calculate prob of picking 3 z and 1 w when four letters picked without replacement from qwwqwwwwwqzwwzqwzw. 11/3060 Three letters picked without replacement from vmxxvmveuv. What is prob of picking 1 e and 2 v? 1/20 Calculate prob of picking 1 a, 1 x, and 1 q when three letters picked without replacement from {i: 2, a: 2, q: 3, j: 1, v: 9, x: 3}. 3/190 Two letters picked without replacement from giuuxixxixixxxxxxiex. Give prob of picking 1 g and 1 u. 1/95 Two letters picked without replacement from {b: 6, a: 1, n: 4}. Give prob of picking 1 b and 1 n. 24/55 Three letters picked without replacement from ecqcqkkxcxgeqx. What is prob of picking 1 c, 1 x, and 1 k? 9/182 What is prob of picking 1 w, 1 i, and 2 q when four letters picked without replacement from {w: 1, e: 2, q: 4, i: 1, c: 1}? 1/21 Three letters picked without replacement from {p: 1, m: 1, u: 2, f: 2, x: 1}. Give prob of picking 1 u, 1 f, and 1 p. 4/35 Two letters picked without replacement from rvrv. What is prob of picking 2 r? 1/6 Four letters picked without replacement from {b: 3, z: 3}. Give prob of picking 3 b and 1 z. 1/5 Calculate prob of picking 2 s when two letters picked without replacement from hsschheeze. 1/45 What is prob of picking 3 i when three letters picked without replacement from {t: 17, i: 3}? 1/1140 Calculate prob of picking 2 n, 1 c, and 1 p when four letters picked without replacement from pvpvcpnppcncnpvvn. 27/595 Calculate prob of picking 2 p when two letters picked without replacement from ptttzttzp. 1/36 Calculate prob of picking 1 t, 1 d, 1 m, and 1 b when four letters picked without replacement from tbmbmd. 4/15 Calculate prob of picking 2 o when two letters picked without replacement from {q: 2, o: 6}. 15/28 Four letters picked without replacement from {k: 1, s: 1, m: 1, w: 3, z: 1}. Give prob of picking 2 w, 1 s, and 1 z. 3/35 Two letters picked without replacement from {l: 13, x: 1, y: 1, q: 1, c: 1, t: 1}. What is prob of picking 1 y and 1 q? 1/153 What is prob of picking 1 i, 1 n, and 1 o when three letters picked without replacement from sijjiuunsounin? 9/364 Two letters picked without replacement from vyvbyyyyvvu. Give prob of picking 1 v and 1 y. 4/11 What is prob of picking 2 d when two letters picked without replacement from {d: 8, n: 2}? 28/45 Three letters picked without replacement from sloosm. Give prob of picking 1 o, 1 l, and 1 m. 1/10 Calculate prob of picking 3 f when three letters picked without replacement from ffffffjfjfffjfffjjf. 364/969 What is prob of picking 2 e when two letters picked without replacement from {e: 7}? 1 Two letters picked without replacement from zoqwzwzqwowzwqqwwyw. Give prob of picking 1 z and 1 w. 32/171 Three letters picked without replacement from {k: 5, s: 8, b: 4, q: 2}. Give prob of picking 1 b, 1 q, and 1 k. 40/969 Three letters picked without replacement from xqqvxvqqqvgvugvxvqgi. Give prob of picking 1 i and 2 x. 1/380 Two letters picked without replacement from mmmmmm. Give prob of picking 2 m. 1 What is prob of picking 1 q, 1 i, and 1 w when three letters picked without replacement from kxqkikixqbqw? 3/110 Calculate prob of picking 2 e, 1 o, and 1 l when four letters picked without replacement from {l: 3, u: 6, e: 2, y: 3, o: 1}. 1/455 Calculate prob of picking 2 r and 1 t when three letters picked without replacement from tttdtrwwwdtttwtwwtq. 0 Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {y: 1, v: 5, u: 1, p: 2}. 1/18 What is prob of picking 2 n and 1 h when three letters picked without replacement from hnhnnnnhnnn? 28/55 What is prob of picking 3 z when three letters picked without replacement from {z: 14, i: 1}? 4/5 What is prob of picking 1 f, 1 w, and 2 o when four letters picked without replacement from fgofwogfgovff? 3/143 Three letters picked without replacement from drrcr. What is prob of picking 3 r? 1/10 Two letters picked without replacement from {p: 7, f: 7, n: 1, z: 1, c: 1}. Give prob of picking 1 c and 1 p. 7/136 Two letters picked without replacement from {r: 2, e: 8, w: 2}. What is prob of picking 1 r and 1 w? 2/33 Calculate prob of picking 1 x, 1 d, and 1 e when three letters picked without replacement from {d: 2, e: 3, x: 6, i: 1, v: 4, t: 2}. 3/68 Four letters picked without replacement from {b: 1, j: 1, e: 2, f: 1}. Give prob of picking 1 b, 2 e, and 1 f. 1/5 Two letters picked without replacement from {v: 7, s: 1, w: 2, e: 4, q: 2, n: 4}. Give prob of picking 1 w and 1 n. 4/95 Three letters picked without replacement from {d: 11, p: 2, w: 1}. What is prob of picking 1 w and 2 p? 1/364 What is prob of picking 1 m and 1 w when two letters picked without replacement from {m: 1, n: 1, w: 2}? 1/3 What is prob of picking 2 j and 1 n when three letters picked without replacement from zjjnzznzj? 1/14 Two letters picked without replacement from fzpzeefqzqvpzf. Give prob of picking 2 q. 1/91 Three letters picked without replacement from yyynynmm. Give prob of picking 2 n and 1 m. 1/28 Calculate prob of picking 2 h when two letters picked without replacement from {c: 2, h: 4, x: 4}. 2/15 Two letters picked without replacement from {h: 1, y: 10, j: 8}. Give prob of picking 2 j. 28/171 Calculate prob of picking 2 w, 1 c, and 1 n when four letters picked without replacement from ldwnddnnlncnnw. 6/1001 What is prob of picking 2 o when two letters picked without replacement from {k: 1, z: 1, o: 2, f: 1}? 1/10 Calculate prob of picking 1 o, 1 k, and 1 i when three letters picked without replacement from kiizikkiinoi. 9/110 Two letters picked without replacement from jjjjjjjjjj. Give prob of picking 2 j. 1 Calculate prob of picking 1 b and 3 o when four letters picked without replacement from bvovbovvo. 1/63 Four letters picked without replacement from qccogoo. Give prob of picking 1 g and 3 o. 1/35 Two letters picked without replacement from {c: 1, e: 1, v: 2, x: 2, o: 4}. Give prob of picking 1 v and 1 c. 2/45 Calculate prob of picking 2 x when two letters picked without replacement from {z: 1, m: 8, a: 3, e: 5, x: 2}. 1/171 Two letters picked without replacement from {n: 1, d: 1, l: 1, k: 2}. What is prob of picking 1 l and 1 k? 1/5 What is prob of picking 1 h, 1 t, and 2 x when four letters picked without replacement from {z: 2, x: 2, h: 1, t: 1, p: 1}? 1/35 Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {q: 3, p: 15}. 5/17 Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {v: 1, f: 1, b: 1, q: 2, j: 1, c: 1}. 1/21 Calculate prob of picking 1 a, 1 b, and 1 o when three letters picked without replacement from {a: 3, i: 1, b: 4, k: 5, e: 2, o: 5}. 1/19 Four letters picked without replacement from {y: 3, m: 4}. What is prob of picking 3 y and 1 m? 4/35 Two letters picked without replacement from {z: 2, i: 18}. Give prob of picking 2 i. 153/190 Two letters picked without replacement from oououoouojjjuuoo. What is prob of picking 1 o and 1 j? 1/5 Calculate prob of picking 2 l and 1 d when three letters picked without replacement from {a: 1, d: 2, x: 2, l: 4}. 1/7 Two letters picked without replacement from bbo. Give prob of picking 1 b and 1 o. 2/3 Four letters picked without replacement from {o: 8, u: 1, q: 10}. Give prob of picking 2 q, 1 o, and 1 u. 30/323 What is prob of picking 1 j, 2 x, and 1 t when four letters picked without replacement from {x: 4, j: 12, d: 2, t: 1}? 6/323 Calculate prob of picking 2 f, 1 u, and 1 p when four letters picked without replacement from {o: 5, u: 1, f: 3, p: 1, g: 4}. 3/1001 Two letters picked without replacement from {o: 2, l: 2, i: 10}. What is prob of pic
{ "pile_set_name": "DM Mathematics" }
436206, 21436222, 21436254, 21436308, 21436390, 21436506, 21436662? 21436864 What is next in -1032, -1024, -1016? -1008 What is the next term in -434453, -434454, -434455, -434456? -434457 What is next in -1317, -2650, -4009, -5406, -6853, -8362, -9945, -11614? -13381 What is next in 160812, 643241, 1447290, 2572959, 4020248, 5789157? 7879686 What comes next: -669, -1399, -2127, -2853, -3577? -4299 What is the next term in 8013, 6403, 4791, 3177, 1561, -57? -1677 What is the next term in 2516, 5103, 7690, 10277, 12864? 15451 What comes next: -98, -271, -560, -965, -1486, -2123? -2876 What is next in -4546, -4573, -4640, -4765, -4966? -5261 What is the next term in -5, -39, -95, -179, -297? -455 What comes next: -25007, -100017, -225031, -400049, -625071? -900097 What is next in 173, 285, 303, 233, 81, -147, -445, -807? -1227 What is the next term in -127, -110, -75, -22, 49, 138? 245 What comes next: -2224, -4429, -6634, -8839? -11044 What comes next: -44712, -89426, -134138, -178848, -223556? -268262 What is next in -44116, -44147, -44196, -44269, -44372, -44511, -44692, -44921? -45204 What is next in -6782, -6808, -6852, -6914, -6994? -7092 What is the next term in -4834, -9915, -15006, -20113, -25242, -30399, -35590, -40821? -46098 What comes next: 806, 801, 792, 779, 762, 741? 716 What comes next: 285, 2236, 7525, 17820, 34789? 60100 What is next in 578309, 578310, 578311, 578312, 578313, 578314? 578315 What is next in 24555, 49111, 73667? 98223 What is next in -154, 397, 1314, 2597, 4246? 6261 What is next in -1518, -887, -256? 375 What is the next term in 2348, 2299, 2250, 2201, 2152? 2103 What comes next: 3506, 7075, 10644, 14213, 17782? 21351 What is next in 110184, 110183, 110182, 110181? 110180 What is next in -9316, -18588, -27860, -37132, -46404? -55676 What is next in 95, 179, 251, 311, 359, 395, 419? 431 What comes next: -2010, -7706, -17200, -30492, -47582, -68470, -93156? -121640 What comes next: 194673, 194676, 194679? 194682 What is the next term in -249076, -498140, -747204, -996268, -1245332? -1494396 What comes next: 231, -548, -3341, -9156, -19001, -33884, -54813? -82796 What is next in 598, 984, 1620, 2500, 3618, 4968, 6544? 8340 What is the next term in -155, -420, -697, -992, -1311? -1660 What is the next term in -148465, -148461, -148455, -148447, -148437? -148425 What comes next: -28508, -28498, -28490, -28484, -28480? -28478 What is the next term in 29, 75, 105, 83, -27, -261, -655, -1245? -2067 What is next in -11113, -11126, -11139, -11152, -11165? -11178 What is the next term in 3312, 3321, 3332, 3345, 3360? 3377 What comes next: 24, 251, 858, 2031, 3956, 6819? 10806 What is the next term in 1278, 1384, 1482, 1566, 1630, 1668, 1674, 1642? 1566 What comes next: 2327, 4683, 7075, 9503, 11967, 14467, 17003? 19575 What is the next term in -208, -265, -320, -373, -424, -473, -520? -565 What is next in 38844, 77676, 116496, 155298, 194076? 232824 What is the next term in 132, 216, 250, 234, 168, 52, -114? -330 What comes next: -10131, -20237, -30339, -40437? -50531 What is the next term in -848713, -848715, -848717, -848719, -848721? -848723 What is next in -4523, -4507, -4479, -4439, -4387, -4323, -4247? -4159 What is next in -293313, -293311, -293309, -293307? -293305 What comes next: -222, -1123, -2646, -4809, -7630, -11127, -15318? -20221 What comes next: -135, -540, -1231, -2214, -3495, -5080, -6975? -9186 What is next in 18493, 37224, 55955, 74686, 93417? 112148 What comes next: -119, -498, -1131, -2018, -3159, -4554, -6203? -8106 What is next in -88, -84, -92, -124, -192, -308? -484 What comes next: 48939, 48937, 48937, 48939? 48943 What is next in 4527, 36186, 122111, 289434, 565287, 976802, 1551111? 2315346 What is next in 107, 555, 1307, 2363, 3723, 5387? 7355 What is next in -138583, -277145, -415707, -554269? -692831 What comes next: 38, 160, 358, 632, 982, 1408, 1910? 2488 What is next in 285, 340, 425, 534, 661, 800? 945 What is next in 17, 155, 393, 743, 1217, 1827, 2585, 3503? 4593 What is the next term in -108252, -108251, -108250, -108249, -108248? -108247 What is next in 764, 1524, 2284, 3044, 3804? 4564 What comes next: 18714, 37431, 56148, 74865, 93582, 112299? 131016 What is the next term in 681, 1000, 1531, 2274, 3229, 4396, 5775? 7366 What is the next term in 394846, 394868, 394904, 394954, 395018? 395096 What is the next term in 2464, 4896, 7328, 9760? 12192 What is next in 957747, 957752, 957757? 957762 What is the next term in 344, 681, 1016, 1349, 1680, 2009, 2336? 2661 What comes next: 120, 259, 430, 639, 892, 1195, 1554, 1975? 2464 What is next in -5261, -5247, -5223, -5189, -5145, -5091, -5027? -4953 What comes next: -388234, -776467, -1164702, -1552939? -1941178 What comes next: 14943, 29999, 45057, 60117, 75179, 90243, 105309? 120377 What comes next: 777108, 777109, 777110, 777111, 777112, 777113? 777114 What comes next: 943, 872, 813, 772, 755, 768, 817, 908? 1047 What is the next term in -17, 10, 85, 232, 475, 838, 1345, 2020? 2887 What comes next: -50375, -100737, -151091, -201431, -251751, -302045, -352307? -402531 What is next in -194, -364, -538, -716, -898, -1084, -1274? -1468 What comes next: 232, 445, 666, 895, 1132, 1377, 1630? 1891 What is the next term in -4106, -8165, -12208, -16229, -20222, -24181, -28100? -31973 What is next in 199, 164, 147, 148? 167 What is the next term in 181, 347, 513, 679? 845 What comes next: -6187, -24742, -55673, -98980, -154663, -222722, -303157? -395968 What is next in -136, -204, -306, -442, -612? -816 What comes next: 1529, 1559, 1589, 1619, 1649, 1679? 1709 What is next in -50, -67, -50, 7, 110? 265 What comes next: 25, 34, 25, -20, -119, -290, -551? -920 What is the next term in -248204, -248198, -248188, -248174, -248156, -248134? -248108 What comes next: 19825, 19864, 19949, 20098, 20329, 20660, 21109, 21694? 22433 What comes next: -8390, -16779, -25168, -33557, -41946? -50335 What is the next term in 1548, 3104, 4682, 6294, 7952? 9668 What is the next term in -925, -1637, -2349, -3061, -3773, -4485? -5197 What comes next: 10745, 10743, 10743, 10745, 10749, 10755, 10763? 10773 What is next in -669, -653, -611, -531, -401, -209, 57, 409? 859 What is next in 12304942, 12304941, 12304940, 12304939, 12304938? 12304937 What is next in 828, 868, 908, 948, 988, 1028? 1068 What is the next term in -196, -290, -388, -490, -596? -706 What is the next term in 22884, 22834, 22784, 22734? 22684 What comes next: 15687, 15772, 15921, 16140, 16435, 16812, 17277, 17836? 18495 What comes next: -817926, -817930, -817936, -817944, -817954? -817966 What is the next term in 6094, 6095, 6096? 6097 What is next in -230780, -461547, -692314? -923081 What is next in 419, 830, 1253, 1694, 2159? 2654 What comes next: 105, 410, 919, 1632? 2549 What is the next term in -6004019, -12008040, -18012061? -24016082 What comes next: 393, 1636, 3729, 6672, 10465, 15108, 20601? 26944 What is the next term in -5290, -10558, -15830, -21106, -26386? -31670 What is the next term in -1980, -3938, -5886, -7824, -9752? -11670 What is the next term in 270, 405, 632, 951, 1362? 1865 What is next in -1882, -1472, -780, 200, 1474, 3048? 4928 What comes next: 758, 3390, 7894, 14276, 22542, 32698, 44750, 58704? 74566 What is next in -68144, -68141, -68136, -68129? -68120 What is next in -720, -695, -652, -585, -488, -355, -180? 43 What is next in -5470, -10738, -16004, -21268, -26530, -31790, -37048? -42304 What is next in 2359, 4754, 7149, 9544? 11939 What is the next term in 1307, 2592, 3861, 5108, 6327, 7512? 8657 What is next in -806675, -806673, -806671, -806669? -806667 What comes next: -1, 374, 1387, 3356, 6599? 11434 What comes next: 1532, 6158, 13870, 24668, 38552, 55522, 75578? 98720 What is the next term in -120, -425, -916, -1593? -2456 What is the next term in 425, 298, 171, 44, -83? -210 What comes next: -221, -207, -153, -35, 171, 489, 943? 1557 What comes next: -20826, -20815, -20778, -20703, -20578? -20391 What is next in 179, 577, 975, 1373, 1771, 2169? 2567 What is the next term in 203, 568, 1113, 1862, 2839, 4068, 5573, 7378? 9507 What is next in 24952, 24954, 24956, 24958, 24960, 24962? 24964 What is the next term in 5139, 4872, 4605, 4338, 4071? 3804 What comes
{ "pile_set_name": "DM Mathematics" }
0.04486, 3/14, 4? 3/14 What is the nearest to 1 in 1/2, 15364/21, 2, -3? 1/2 What is the closest to -70 in 30, 2, 3/5, 3/14, -4? -4 Which is the nearest to 15934/7? (a) 487 (b) 4/3 (c) 4 (d) -0.1 (e) -1 a What is the closest to 60 in -8, 1085.32, 0, -5? 0 What is the closest to -1277 in 106, 0.04, 0.16? 0.04 Which is the nearest to -2? (a) 16/9 (b) 0.1 (c) -1 (d) -0.1 (e) 0.3475 c Which is the nearest to -1542/7? (a) 8 (b) -334.2 (c) 5 b Which is the closest to -1/3? (a) 1/8 (b) 12/11 (c) 1/3 (d) -45 (e) 0.01 (f) 4/5 e What is the closest to -324141 in 0.4, -0.5, -9, 0? -9 Which is the closest to -1.13? (a) -2.29 (b) -0.3 (c) -2 (d) 2/23 (e) 1 b Which is the nearest to -0.4? (a) 0.0509 (b) -1/2 (c) -6 (d) 50.1 b Which is the closest to -7? (a) -2 (b) -1/2 (c) 1486 (d) -2/7 (e) 0.0894 a Which is the closest to -9? (a) -16/59 (b) 52 (c) 3 (d) 0.1 a What is the nearest to 155 in 122.6, 0.5, 5? 122.6 What is the nearest to -1.1 in 1, 0.2, 0, -0.394, -43? -0.394 What is the nearest to -11 in 0.14, -0.006, -1, 3/16, -2, 4? -2 Which is the nearest to -188? (a) -1 (b) -7401 (c) 2/3 (d) -2 d Which is the closest to 2/9? (a) 290/119 (b) -0.1 (c) -91 (d) -2 b What is the closest to 1 in 19, 2, 2/7, 5, 4559/17? 2/7 What is the nearest to 0.098 in 3/7, 0.143, -1/3, 2/5, -1/4? 0.143 What is the closest to 0.2 in 1/2, -1/41, 48.931, -0.03? -1/41 What is the nearest to 2/3 in -0.3, 2, 97, -212, 0.019? 0.019 Which is the closest to -0.03? (a) 4/5 (b) -12 (c) 8 (d) -7/22 (e) -1/5 e What is the nearest to 3/92 in -5, 47/5, 1, 47/14? 1 What is the closest to -1/2 in -11/5, 0.03, -2, -1/2, -12? -1/2 What is the closest to -13 in 1/91, -8.5, -1/4, -1/3? -8.5 What is the closest to -6/529 in -4, 623002, -2, 0.2? 0.2 Which is the nearest to 1/4? (a) 0.5 (b) 4 (c) -60/7 (d) 12/4729 (e) 2/11 e Which is the nearest to -4? (a) -5 (b) -18/11 (c) 31/5 (d) -4 (e) -0.03 (f) 3 d What is the closest to 0.1 in -4.9, -3, 1955, 33? -3 Which is the nearest to -1? (a) -78 (b) 1 (c) 7/6 (d) -2 (e) 9 (f) -30 d What is the closest to -1/2 in -11/2, -2.2, 298? -2.2 Which is the closest to -12? (a) -34299 (b) 5 (c) -1/2 (d) 4 (e) 0.1 (f) 26 c Which is the nearest to -3? (a) -18/5 (b) -92/7 (c) 1/18 (d) 1/3 (e) -4 a Which is the closest to -2/9? (a) 403 (b) -0.08 (c) 5 (d) -67 (e) -0.5 b Which is the nearest to 11? (a) 1 (b) 18 (c) 1/22 (d) -0.002 b What is the closest to 0 in -32.8, -107.9, 0.27? 0.27 What is the closest to -150 in 2/5, -3/4, 30, -6, 0.6? -6 What is the nearest to -0.9 in 6, -6, 512, 0.4, -0.4? -0.4 Which is the nearest to -0.26? (a) -0.2 (b) -3/4 (c) 56 (d) 3/2 (e) -1043 a What is the closest to -1 in 0, -212, -9/2, 10? 0 Which is the closest to 84? (a) -4 (b) -703 (c) -1 (d) 2/99 d What is the nearest to 1002/7 in -22, 0.1, -0.5, 10? 10 What is the nearest to -1 in -4, -665, 103/2, -6, -5? -4 Which is the nearest to -5186? (a) -16 (b) 112 (c) -0.4 a Which is the closest to -313? (a) 63 (b) -3 (c) 0.3 (d) -4/9 (e) 0 b Which is the closest to -2/35? (a) 1002 (b) 0.2 (c) -0.4 (d) 2/11 (e) 2/169 e Which is the nearest to -0.1? (a) 7 (b) 1/2 (c) 0.074 (d) 452 (e) 1/6 c What is the nearest to -9 in -35, -1/136, -2/1341? -1/136 What is the nearest to 26 in 5/56, -4, 7, 0.2, -2? 7 What is the closest to -2 in -258.7, 100.5, 2/7? 2/7 What is the nearest to 1/25 in 15/4, 0, 134? 0 What is the closest to -7/6 in -11, 0.14, -13/6, -10.4, 3/5? -13/6 What is the closest to 0.076 in 1, 1/3, -0.134, 0.5, -1/7, 2/59? 2/59 What is the nearest to -3/5 in -188/21, 5.929, 4? 4 What is the closest to 31 in 4, 277068/7, 1/2? 4 Which is the closest to 1? (a) -1/3 (b) -0.2 (c) 0.1 (d) -153227 c What is the closest to 1 in 5, -0.5, 1.113, -2/5? 1.113 Which is the closest to -7/4? (a) 3 (b) 31/4 (c) 0.2 (d) -2 d What is the nearest to 0 in -1/4, -0.8, -0.9, -0.4, -2.45, -2/19? -2/19 Which is the closest to -0.03? (a) -33 (b) -0.022 (c) -4 (d) 9 (e) 2 b Which is the nearest to -4? (a) 1 (b) 609 (c) -0.06 (d) -4 (e) 5 d Which is the nearest to -7390? (a) 1 (b) 2/17 (c) -13/3 (d) -46 d Which is the closest to 16.4? (a) -2/37 (b) -4/5 (c) 0.1 c What is the nearest to 114.02 in 0.16, -3/14, 4? 4 What is the closest to -764 in 2, 0, -4, -0.5, 5? -4 Which is the closest to -2? (a) 0 (b) -16 (c) -5/3 (d) 5 (e) 54 c Which is the nearest to 0.275? (a) 3 (b) -0.05 (c) 1 (d) -28 b What is the closest to -19/2 in -9/5, 6, 0.4? -9/5 Which is the closest to -0.1? (a) 1150/3 (b) 3/4 (c) -1783 b What is the closest to 0.06 in -3/2, 0.034, -5.4, -1? 0.034 Which is the nearest to 0? (a) -0.15 (b) -34/7 (c) 4 (d) 10/9 (e) -0.5 (f) -3 a Which is the closest to -1/11982? (a) 0.3 (b) 0.1 (c) -1/5 (d) -1/9 b Which is the closest to -12? (a) -23 (b) -0.72 (c) 3/4 (d) -0.3 a Which is the nearest to -6? (a) 2 (b) 215 (c) 1 (d) 7 c What is the nearest to 1 in 2/3, -7/15, -1/4, -20/9, 0.08, -97? 2/3 What is the closest to -109 in 748, -1/2, -3/7? -1/2 What is the closest to 2 in -2719.2, 0, 2/87, -2? 2/87 What is the closest to 80 in -327, -2.8, 1? 1 Which is the nearest to -1/2? (a) 2/63 (b) 0.4 (c) 9 (d) 1 (e) -1016 (f) 0.2 a Which is the closest to -490? (a) -2 (b) -6/13 (c) -1/5 (d) 0.5 (e) -5 (f) -0.02 e Which is the nearest to 0? (a) 1/4 (b) -770 (c) -5 (d) -0.0775 (e) 1/3 d Which is the nearest to 128? (a) 5 (b) -8/3 (c) -0.01 (d) 2 (e) -14 a Which is the closest to -0.466? (a) -15 (b) -3 (c) -36 b What is the nearest to 1.6 in -36/35, 22/3, -0.1? -0.1 What is the nearest to 1 in -6/14765, 0.05, -4, 0.2? 0.2 Which is the closest to 9.76? (a) 1/12983 (b) -4 (c) 0.4 c What is the closest to 1801.153 in 0.4, -0.3, -5? 0.4 What is the closest to 35 in 1, 2525, 0? 1 What is the closest to -6 in -2/3, 0.9, 2/5, 330? -2/3 What is the closest to 12 in -3/64, 0, 0.07908? 0.07908 What is the closest to -47/2 in -0.891, 8, 0.5? -0.891 What is the nearest to -0.24258 in -0.1, -5, 0.1, 0.7? -0.1 Which is the nearest to -36? (a) -2/7 (b) 0.2 (c) -0.02746 (d) 1 (e) 2 (f) 0.05 a Which is the nearest to -0.25895? (a) -2/3 (b) -5 (c) -3 (d) 8 a What is the closest to -1 in 13837/3, -2/7, 3, -81/8, -3? -2/7 Which is the nearest to -17? (a) 109 (b) -13035 (c) 5 c Which is the closest to -12395? (a) 0.4 (b) -0.45 (c) 18 b What is the closest to 3 in 5, 582364, 0? 5 Which is the nearest to -2/3? (a) -0.5 (b) -0.297516 (c) 9 a Which is the closest to 0.1? (a) -2.63 (b) 13 (c) -3 (d) 42 (e) 6 a Which is the closest to 9079/565? (a) 0 (b) -0.5 (c) -2 a What is the nearest to -0.01 in -5, -2/33, -11, 3/5, -3, 5? -2/33 Which is the closest to 1? (a) -0.4 (b) 137 (c) 1587 (d) -3/4 a Which is the closest to -6274? (a) 0.11 (b) -1/2 (c) 2 (d) 0 (e) 19 b Which is the closest to -528? (a) -2 (b) 0.5 (c) -3/44 (d) 5 a What is the closest to 3 in 0.6, 1, -573, -4? 1 Which is the nearest to 2? (a) 5/3 (b) 0.3 (c) -1/3 (d) 0.5 (e) -6.6 a Which is the nearest to 1? (a) 89 (b) -1 (c) -51738 b Which is the nearest to 0.3? (a) 14917/2 (b) -0.4 (c) -4/7 b What is the nearest to 159 in 0.0039, -17, 0.6? 0.6 What is the nearest to 146/7 in 4, 1/6, 2, -83? 4 What is the nearest to 9 in 8, 9, -37, 5/6, -2/3? 9 Which is the nearest to -2/19? (a) -10 (b) -12 (c) 18 (d) 52.6 a What is the nearest to 0.1 in 3, -3/5, -3, 2/13, -50600, -0.074? 2/13 Which is the closest to -6166? (a) 6/5 (b) 1 (c) -301 c Which is the closest to -328687? (a) 1 (b) 0 (c) -0.08 (d) -0.2 d Which is the closest to -1/3? (a) -5 (b) -218/9 (c) -15 (d) -9.5 (e) 2/11 (f) 3 e What is the nearest to -249 in -49, 0.06, -4? -49 What is the nearest to 2 in -5, 0, -76.9, 6/67? 6/67 Which is the closest to 0? (a) 5 (b) -1/5 (c) -1/12 (d) -106081 (e) 5/4 c Which is the closest to -1.4? (a) -6 (b) -3 (c) 1/10 (d) -232 (e) -5 c Which is the closest to -0.1? (a) -3 (b) 3 (c) 0.11 (d) -898 (e) 0 (f) -82 e Which is the closest to 240.1? (a) -1/2 (b) -113 (c) 2/3 (d) -4 (e) 0.02 c What is the nearest to -1 in 2, 40, -2, 256, -2/13, 2/5? -2/13 Which is the closest to 1? (a) 2/5 (b) -1/5 (c) -56 (d) -1/3 (e) -2/11 a W
{ "pile_set_name": "DM Mathematics" }
n -1, 1/5, -0.1, 2/167? -1 Which is the closest to -1.2? (a) -0.4 (b) -5 (c) 84 a What is the closest to -1/4 in -0.1, 3/10, -4? -0.1 Which is the closest to -2/13? (a) -1 (b) 5 (c) -18 a Which is the nearest to 2/3? (a) 8.1 (b) -7 (c) -3/8 (d) 0.2 d What is the closest to -1/2 in 2, 1/3, -2, -13/5? 1/3 Which is the nearest to 9.5? (a) -3 (b) 2/9 (c) 2 c Which is the nearest to 2? (a) 2/9 (b) 2/19 (c) 3 c Which is the closest to 22? (a) -3 (b) -2 (c) 2.9 c What is the closest to 2 in 4, 5, -3/80, 0.4? 0.4 Which is the nearest to 0.9? (a) -0.1 (b) 0 (c) 1/3 (d) 2/7 c What is the closest to 0 in 1/3, -1.73, -3/2? 1/3 What is the closest to -0.2 in 8, -4/3, 5, -2? -4/3 What is the closest to 0 in -9.452, 0.4, 5? 0.4 Which is the nearest to -6/7? (a) -0.2 (b) 4 (c) 11 (d) -1 d Which is the closest to -1/4? (a) -0.21 (b) -3/7 (c) -0.4 (d) 0.07 a What is the closest to 5 in 0, -0.4, 0.4, 0.1? 0.4 What is the nearest to 2/15 in 0.5, 0.3, -4, -9? 0.3 Which is the closest to -10? (a) -1 (b) -2/7 (c) -86 a Which is the closest to -0.2? (a) -5/3 (b) 2 (c) -3 a Which is the closest to -120? (a) -5/4 (b) -0.4 (c) -5/3 c Which is the nearest to -6? (a) -5 (b) -60 (c) -1 (d) -2 a Which is the closest to -30/11? (a) 3 (b) -3/2 (c) 0.2 (d) -1/8 b Which is the nearest to 1? (a) -2.3 (b) -2 (c) -0.7 c What is the nearest to 0.2 in 2/7, -16.4, 0.5? 2/7 What is the closest to -2/5 in 4, -0.1111, 0.1, 0.2? -0.1111 Which is the nearest to -0.1? (a) -2 (b) -1/4 (c) 2 (d) 23 b Which is the closest to -0.1? (a) -4 (b) 3 (c) -6.5 (d) 7/3 d What is the nearest to 2 in 0.4, -0.5, -5, 4? 0.4 Which is the closest to 3? (a) 3/8 (b) 4 (c) -794 b Which is the closest to 2/7? (a) 3 (b) -4 (c) 2/1249 (d) -1 c Which is the closest to 3? (a) -0.3 (b) 2 (c) -3 b Which is the nearest to 0.2? (a) -2/5 (b) -6/11 (c) 1 (d) -1/11 d What is the nearest to -26 in -4, 0, -1, -0.1? -4 Which is the closest to -15? (a) -3/7 (b) 0.5 (c) 0.05 a Which is the closest to 0? (a) -2/15 (b) -0.5 (c) 2 (d) -1 a What is the closest to -0.1 in 31/2, -0.4, 3, -1? -0.4 What is the nearest to 3 in -0.1, 0, 0.7, -3/8? 0.7 Which is the closest to 2/7? (a) 227 (b) -0.2 (c) 0.5 (d) 5 c Which is the closest to 0? (a) -2 (b) -9/5 (c) 0.2 (d) -4 c What is the closest to 2/5 in 8, -21, -1/4? -1/4 What is the nearest to 0.2 in -5, 4, -4, 0.13? 0.13 What is the closest to 0 in -4, 5, -3, -0.5? -0.5 What is the closest to 0.1 in -1, -3/11, -0.03, 0? 0 Which is the nearest to -0.2? (a) -87 (b) -0.04 (c) -0.3 (d) -2/9 d Which is the nearest to -1? (a) 5 (b) -1/45 (c) 3 b Which is the closest to 1/4? (a) 1599 (b) 3/8 (c) 0.2 (d) -2/3 c Which is the closest to 1/3? (a) 2/5 (b) -641 (c) 2 a Which is the nearest to 1? (a) 8 (b) -1 (c) -2/7 (d) 0 d What is the closest to 0 in 7/3, -4, 5/2? 7/3 Which is the closest to 22? (a) 5 (b) -4 (c) 6 c What is the closest to -0.3 in 0.3, -5/3, -5, 2/15? 2/15 Which is the closest to -4? (a) 5 (b) 28 (c) 3 c Which is the nearest to -2/11? (a) 3 (b) 5 (c) -2/9 (d) -4 c What is the closest to -24 in -1, -3, 2/13, -2/5? -3 Which is the closest to -0.03? (a) -2/7 (b) 0 (c) -0.5 (d) -1/3 b Which is the closest to 0? (a) 34 (b) 3 (c) 4 (d) 2/5 d Which is the nearest to -5? (a) -1 (b) 5 (c) 0.3 (d) -0.1 a Which is the nearest to -0.3? (a) -8 (b) 16 (c) 0.5 c What is the closest to -1/3 in 0.1, -5, 0.5? 0.1 Which is the closest to 2? (a) -0.3 (b) -3 (c) 1/3 (d) 4/21 c Which is the closest to -0.01? (a) 0 (b) 1/2 (c) 2/269 a Which is the closest to -2/3? (a) 3 (b) 110 (c) -0.1 c What is the closest to -6 in 3, -4, -64? -4 Which is the nearest to 2/5? (a) -3 (b) 2/13 (c) 12/13 (d) -2/5 b Which is the nearest to 5? (a) 3 (b) 0.1 (c) 23 (d) -1/6 a Which is the nearest to -12? (a) 2 (b) 1.6 (c) 3 b Which is the nearest to 7? (a) -2 (b) 2 (c) -3/8 b Which is the nearest to 0.1? (a) 0 (b) 3/5 (c) -48/11 a Which is the closest to 874? (a) -1/5 (b) 0.2 (c) -2/5 (d) -0.5 b What is the closest to 0.31 in 3/2, 1/2, -5, 1? 1/2 Which is the closest to -0.1? (a) 0 (b) 1/3 (c) 2/9 (d) -4 a Which is the closest to -0.24? (a) 4 (b) -0.2 (c) -0.3 (d) 3 b Which is the nearest to 2/423? (a) -5/3 (b) 2 (c) -2/11 (d) -0.5 c What is the closest to 2/3 in 2, -4, 2/5? 2/5 What is the nearest to -4 in 2/7, -2/3, 0.1, -2/9? -2/3 What is the closest to 3 in 2, -56/9, -4? 2 What is the nearest to 8 in 2/3, -5, 3/2? 3/2 Which is the nearest to 1/4? (a) 1 (b) 2/13 (c) -16 b What is the closest to 18/5 in -1/5, -2, 4? 4 What is the nearest to 1 in -2/11, -1/2, 0, -82? 0 What is the nearest to -6 in -0.3, 4, -3, 2/13? -3 What is the closest to -1 in 4, 3, 1, -136? 1 Which is the nearest to -49? (a) 3/4 (b) 1 (c) -1/8 c Which is the closest to -1/14? (a) 4 (b) -3/2 (c) -0.05 (d) -0.2 c Which is the nearest to 0.4? (a) 0.1 (b) 0.02 (c) 0.2 (d) -6/11 c Which is the closest to -1? (a) -5 (b) 5 (c) -4 (d) -2 d Which is the closest to 2? (a) -1/2 (b) -0.03 (c) -2 (d) 0.5 d Which is the closest to 2/7? (a) 5/3 (b) -10 (c) -3 a Which is the nearest to 0.43? (a) -5 (b) -1 (c) 2/3 c Which is the nearest to 5? (a) -3 (b) -2 (c) 2.8 c What is the nearest to -62 in 5, 5/4, -1/2? -1/2 Which is the closest to 2/3? (a) 0 (b) 3/2 (c) -15 a What is the nearest to -2 in 0.6, 0.1, -3, 3? -3 What is the nearest to 3 in -1/5, -2/17, 0, 4/5? 4/5 What is the nearest to -2 in -2/23, 0.15, -25? -2/23 Which is the closest to 1? (a) 4 (b) 3 (c) 2/3 (d) -1/4 c What is the closest to 3/5 in -3/11, -3, 4, 1/7? 1/7 What is the closest to -4/3 in 4, 16, -0.5? -0.5 Which is the closest to 2/5? (a) -1 (b) 1 (c) 0.5 c What is the closest to 4 in -5, 1/27, -1? 1/27 Which is the closest to 0.2? (a) -2 (b) 71 (c) 1/4 c What is the nearest to 2/7 in -0.13, 0, 4, -1? 0 What is the nearest to 0 in -3/4, 0.1, -77, 2/7? 0.1 What is the nearest to 3/13 in -0.2, 1, 0, -2? 0 What is the nearest to -0.017 in -0.3, -5, 1, -2/7? -2/7 Which is the nearest to 0.045? (a) 2 (b) -1 (c) 2/11 (d) 0 d What is the nearest to 0.14 in 0.5, 51, -1, 0.2? 0.2 Which is the nearest to -3? (a) -0.1 (b) -0.2 (c) 0 b Which is the closest to 0.1? (a) -0.5 (b) 0.3 (c) -0.2 (d) 14 b What is the nearest to -97 in -1/5, 0.2, -10? -10 Which is the closest to 0? (a) 0.3 (b) -0.02 (c) -25 b Which is the closest to 233? (a) 0 (b) -5 (c) 4 c Which is the nearest to 0? (a) 0.112 (b) -3 (c) 9 a Which is the nearest to -0.1? (a) -2 (b) 3/4 (c) -7 b What is the closest to 4/25 in 2/11, -2, 0? 2/11 Which is the nearest to -5? (a) 2 (b) 0.4 (c) -3 (d) 0.5 c Which is the nearest to 62? (a) 0.5 (b) 6/7 (c) -1/5 (d) 1/8 b What is the nearest to -0.1 in -2/27, -4, 2/19, 0.1? -2/27 What is the nearest to 0 in 1/5, 19, 1/4, -3? 1/5 What is the nearest to -1 in 4, 0.3, -5, -0.2? -0.2 What is the closest to -0.1 in -3, 339, 1/9? 1/9 What is the closest to 3 in 0.4, -0.5, 0.5? 0.5 Which is the closest to 0.1? (a) 1 (b) -0.07 (c) 0.1 c What is the closest to 214 in 3/7, -2, 0? 3/7 What is the closest to -15 in -2/13, 0.3, -5? -5 Which is the closest to 0.1? (a) 0.5 (b) -3/4 (c) 1111 a Which is the closest to 21? (a) -3 (b) 5 (c) 2 b Which is the nearest to 3/5? (a) 3 (b) 43 (c) 1 c Which is the closest to -9? (a) -3 (b) 0.017 (c) -2/15 (d) -5 d Which is the nearest to -1/28? (a) -1 (b) 0.07 (c) 4/3 (d) 5 b What is the closest to 0.3 in -0.06, 0.4, -3, 2/19? 0.4 Which is the closest to 2? (a) -1 (b) -0.3 (c) -7 b What is the nearest to -3 in -1, 0.1, -0.02? -1 What is the closest to 0.07 in -2/5, -0.2, -3/10, -2/7? -0.2 Which is the closest to -12? (a) 4 (b) -0.09 (c) -2 (d) 0.4 c What is the nearest to 1 in 2, 0.1, -43? 0.1 What is the closest to 0 in 0, 4, 1/39? 0 What is the closest to 0.2 in -5, -2/71, -2, -1? -2/71 What is the closest to -0.2 in -0.3, 5, 14/9? -0.3 What is the closest to 0 in 1/2, 6.2, -7, -2/11? -2/11 Which is the closest to -1? (a) 3 (b) -25 (c) -2/13 (d) -0.5 d Which is the nearest to -4? (a) 2/13 (b) 6 (c) -1/3 (d) 0 c What is the closest to 11.9 in -2, 0.1, -15? 0.1 What is the closest to -7 in 3, 2/3, -0.16, -2
{ "pile_set_name": "DM Mathematics" }
r of n and i. 6 Let p = 4000 + -1728. Suppose -p - 31 = -7*y. What is the highest common divisor of 188 and y? 47 Suppose -4*u + 3 = -5*i, 3*i = -3*u - 1001 + 1037. Calculate the greatest common divisor of 8585 and i. 5 Suppose -c - 5*f = 0, -5*c + 7*f - 12*f = 0. Suppose -5*k + 106 = 3*o, c = -5*o - 3*k + 2*k + 206. What is the greatest common divisor of o and 294? 42 Let o(t) = 69*t - 80. Let g = 222 + -210. Let i be o(g). What is the greatest common divisor of i and 68? 68 Suppose -42*i + 28 = -38*i. Suppose 3*z - 31 = -i. Let g(b) = -b**2 - 18*b + 8. Let q be g(-18). What is the highest common divisor of q and z? 8 Let p be 1/((-55)/(-33))*-5. Let j(l) = 4*l**2 + 6*l - 7. Let d be j(-5). Let h be p/(d/14) - (-59)/3. Calculate the highest common factor of 57 and h. 19 Let t = -96 + 177. Let m = 111 - 252. Let s = 150 + m. Calculate the greatest common divisor of t and s. 9 Suppose -4*p + t = -152 - 414, 3*p = 4*t + 431. What is the highest common divisor of 6909 and p? 141 Let i(v) = -22*v - 38. Let b be i(-3). Suppose b*s = 27*s + 5. What is the greatest common factor of 35 and s? 5 Suppose 160 = -0*i + 8*i. Let f be i/(-8)*(-96)/20. Let q(b) = 3*b**3 - 2*b**2 - b. Let u be q(3). Calculate the greatest common divisor of u and f. 12 Suppose 146*s - 38*s - 73671 = -8331. Calculate the highest common divisor of 110 and s. 55 Let v be (-112)/196 + (1812/(-21))/(-4). Calculate the highest common divisor of v and 5691. 21 Suppose -3*y = -4*b + 10190, -3*b = -46*y + 45*y - 7650. What is the highest common factor of b and 132? 44 Let h = -20254 + 20507. Calculate the greatest common factor of 529 and h. 23 Suppose 40*c - 590 - 690 = 0. Calculate the highest common factor of c and 10256. 16 Let p = -1640 + 1686. What is the highest common factor of 529 and p? 23 Let j = 5575 + -5535. Let t be (-5 - -39) + (-2)/1. Calculate the highest common factor of t and j. 8 Suppose -m - 4*a = -432, 5*m + 2*a - 215 - 2053 = 0. What is the highest common divisor of 1216 and m? 152 Suppose 39*r = 48*r - 459. Calculate the highest common factor of r and 27. 3 Suppose 0 = -64*h + 50*h + 20944. What is the greatest common factor of 88 and h? 88 Suppose -231*j = -208*j - 40411. What is the greatest common divisor of 2510 and j? 251 Let p = 8796 + -1787. What is the greatest common factor of 43 and p? 43 Let l be ((-22)/6)/(26 + 2826/(-108)). Suppose o = 2*o + 3. Let k(w) = -w**3 - w**2 + w - 4. Let m be k(o). What is the greatest common divisor of m and l? 11 Let v be 22596/49*(-924)/(-99). Calculate the greatest common divisor of v and 176. 16 Let d(a) = 2*a**2 + 7*a + 29. Let h be d(-9). Let k = h + -77. Calculate the greatest common divisor of 34 and k. 17 Let x be (-6 + -9 + 12)*-3444. Calculate the greatest common factor of x and 12. 12 Let p(t) = 179*t**2 + 7*t + 18. Let x be p(-2). What is the greatest common divisor of 280 and x? 40 Suppose -485 = -207*q + 208*q. Let u = q + 496. What is the greatest common factor of u and 297? 11 Let h(z) = -4*z**3 + 21*z**2 - 5*z. Let c be h(5). Let v(p) = 2*p. Let x be v(2). Let k be (30 - 3) + (c - x). What is the greatest common divisor of 184 and k? 23 Let k(f) = 8*f**2 + 6*f - 24. Let l be k(3). Let t be ((22/(-6))/(-1))/((-11)/(-264)). What is the greatest common factor of l and t? 22 Let q be 295/75 + 15/225 + -1 + 81. What is the highest common divisor of q and 63? 21 Let o = 110 - 61. Suppose 14*m - 1246 = 7*m. Let a = 185 - m. Calculate the highest common factor of a and o. 7 Suppose 804*g - 809*g - 5 = 0, r - 32 = 4*g. Calculate the highest common factor of 2436 and r. 28 Let h(k) = 6*k + 19 + 17 + 24 - 2*k. Let t be h(-12). Let w = 19 + 113. Calculate the greatest common factor of w and t. 12 Let m = 2187 + -2100. Calculate the greatest common divisor of 9 and m. 3 Let v be 93/279 + 4703/3. Calculate the highest common divisor of v and 192. 32 Suppose n - 1 = -0. Suppose -415 = -38*l - 529. Let i be (l - 7/(-2)*n)*20. Calculate the greatest common factor of 10 and i. 10 Suppose -5*r + 171 = 3*v, -2*v - 62 = -2*r - 0*r. Let c(k) = 753*k + 16044. Let q be c(-21). Calculate the greatest common divisor of q and r. 33 Let t(r) = r**3 - 9*r**2 + 17*r + 12. Let b be t(6). Let y = -72 + 87. What is the greatest common factor of b and y? 3 Let j(q) = -16*q**3 + q**2 + 81*q + 70. Let o be j(-5). What is the highest common divisor of o and 90? 10 Let a = -638 - -644. Suppose -4*o + a = -2*s, 5 = 3*o + 5*s - 6. What is the greatest common divisor of o and 18? 2 Let k(c) = 7*c**3 - 334*c**2 - 97*c + 83. Let q be k(48). What is the highest common divisor of q and 1295? 35 Let a = -8 + 6. Let u(j) = -3*j**3 - j**2 - 2*j - 1. Let g be u(a). Let c be 92/8*(22 - (7 + -1)). What is the highest common divisor of c and g? 23 Let r(k) = -5*k - 25. Let u be r(-4). Let q be (-13 - (-56)/7)*2/u. Calculate the highest common divisor of q and 18. 2 Let u = -183 - -346. Suppose 0 = 7*b - u - 159. Let z = b + -4. What is the greatest common factor of z and 12? 6 Let x(q) = q**2 - 34*q + 15. Let r be x(34). Suppose -o - 4 = -79. What is the highest common divisor of r and o? 15 Let t = -284113 - -284120. Let l(m) = 3*m**2 - 1. Let a be l(2). Calculate the highest common factor of t and a. 1 Suppose 3*q = 5*c + 730, -2*q = -5*c + 8*c - 512. What is the highest common factor of q and 20? 10 Suppose -a = -k + 14, 4*k = -5*a + 6*a + 44. Let z = 22 + -16. What is the highest common factor of k and z? 2 Let s = 7176 - 7155. Let u = -73 + 122. What is the highest common divisor of s and u? 7 Suppose 7*o - 4*i = 10*o - 3744, 2*o - 2496 = 5*i. What is the highest common factor of o and 24? 24 Let y = 364 - 186. Let z = 248 - y. Let u(m) = -m**3 + 11*m**2 + 12*m + 10. Let q be u(12). What is the highest common divisor of q and z? 10 Let f(y) = -y**3 - 21*y**2 - 6*y - 36. Let t(m) = -m**2 + m + 2. Let l(z) = f(z) - 2*t(z). Let d be l(-19). What is the greatest common factor of 504 and d? 56 Suppose 4*z = 2*b - 1792, 8*b - 7*b + 2*z = 868. Calculate the greatest common factor of 2772 and b. 126 Suppose 1530 = -412*y + 427*y. What is the greatest common factor of 204 and y? 102 Suppose 23 = 4*l - 5*b, 4*l - 4*b - 32 = -8. Suppose 4*o - 110 = -70. Suppose o*a - 30 = l*a. What is the greatest common factor of 90 and a? 10 Let k be (-4)/10*(-800)/(-5). Let z = -53 - k. Let q = 77 - 33. What is the greatest common divisor of q and z? 11 Let r(x) = 1228*x - 3264. Let u be r(9). Calculate the highest common factor of u and 3. 3 Let k = -7038 + 7068. Suppose 5*d - 132 = 4*m, m + 0 + 3 = 0. What is the greatest common factor of d and k? 6 Suppose -5*q + 5*g = -4*q - 43, 4*q - 5*g - 217 = 0. Calculate the greatest common factor of q and 203. 29 Let f = -1852 - -1978. Calculate the highest common factor of f and 4662. 126 Let z be (15 + 0)/((7 - 6)/3). What is the greatest common factor of z and 63? 9 Let l(a) = 3 - 3*a + 2 - 4 + 30*a**2 + 1. Let k be l(2). Let s be (-412)/(-14) - (8 + 318/(-42)). What is the highest common divisor of s and k? 29 Let m be (-711)/(-12) + (15/4)/5. Suppose m = 5*l + 2*h, -5*l + 29 = -5*h - 66. Calculate the greatest common factor of l and 378. 14 Suppose 5*r = -5*d + 9*r + 13, -3*d - r + 18 = 0. Suppose 3*u = 2*v + 13, 3*v - 6*u + 20 = -u. Let i = v + 20. What is the greatest common factor of i and d? 5 Let b(p) = 4*p**2 - 13*p - 42. Let v = 326 + -329. Let z be b(v). What is the highest common divisor of 99 and z? 33 Let j(y) = -y + 19. Let i be j(13). Let c(p) = p - 4. Let z be c(8). Let b be z + 310/12 - 1/(-6). Calculate the greatest common divisor of i and b. 6 Let o = 43 + -35. Suppose -1533 = o*w - 5*w. Let c = -294 - w. What is the greatest common divisor of c and 31? 31 Let g = 283 + -157. Suppose 0 = 2*c - 4*c - g. Let s = 81 + c. What is the greatest common divisor of s and 18? 18 Suppose -82 = -5*r - 3*b + 36, 2*r + 4*b = 36. Suppose 70*a = 4*a + 36*a. Suppose -20*s + 587 + 1233 = a. What is the greatest common factor of r and s? 13 Let b be -1 - 35*(0 + -1). Suppose -4*a - 5*h = -66, 3*h - 30 = -124*a + 122*a. Let t be (a/2)/(-1)*(-17)/b. What is the highest common divisor of t and 6? 6 Suppose -429 - 117 = -3*v. Suppose x = -5*r - 2*x + 871, r = 2*x + v. Calculate the highest common factor of 16 and r. 16 Suppose
{ "pile_set_name": "DM Mathematics" }
- 1. Give w(m). -1 Suppose -2*q - 3*z = 2, 0 = 2*q - z - 1 - 5. Let t(g) = 1 + 2*g**q - g**2 + g + 3. Calculate t(-3). 10 Let w = 13 - 18. Let m(t) be the second derivative of -t**2 + 1/20*t**5 + 5/6*t**3 + 7*t + 0 + 1/2*t**4. Give m(w). -2 Let j(a) = 11*a**2 + 1. Let c be j(2). Let l be (-54)/c*(-10)/(-3). Let p be (-3 + -1)*l/8. Let w(b) = b**3 - b**2 + 1. What is w(p)? 5 Let c(k) be the second derivative of -k**6/720 + k**5/40 - k**4/12 - k. Let x(y) be the third derivative of c(y). Let p be (-1)/3*(-264)/(154/(-7)). Give x(p). 7 Let t(q) = -3*q + 3. Let r(v) = -17*v + 12. Let i(x) = 2*r(x) - 10*t(x). Determine i(-11). 38 Let v(a) = 2*a**3 - 153*a + 154*a - 1 - 5*a**3. Let l be v(1). Let q(w) = w**3 + 4*w**2 + 2*w. Give q(l). 3 Let r(u) = -6*u - 2*u**2 + u**2 - 1 + 5*u. Let i be (-1 - 2)/((-3)/2). Calculate r(i). -7 Let i(g) = -16*g**2 - 37*g - 1. Let v(x) = -3*x**2 - 7*x. Let q(z) = -2*i(z) + 11*v(z). Calculate q(1). -2 Let u = -57 - -97. Suppose -5*y = f + f - u, y + 4*f = 26. Let r(i) = 4 + 1 - y + 0 + i. Calculate r(3). 2 Let s(l) = -13*l**2 + 6*l + 11. Let x(z) = -z**2 + z. Let i(r) = -12*r**2 + 9*r + 5. Let d(t) = i(t) - 6*x(t). Let p(u) = -9*d(u) + 4*s(u). What is p(3)? 8 Let l(k) be the first derivative of -k**4/4 - 5*k**3/3 + 3*k**2/2 - 3*k + 108. What is l(-6)? 15 Let p(n) = n - 13. Let o(x) = 11*x - 508. Let u be o(46). Give p(u). -15 Let q(b) = -b**2 + 5*b + 8. Let p be q(7). Let g = p - -6. Suppose -5*v - 25 = g, -2 = 3*k - 2*v + 3*v. Let s(d) = 4*d**2 - 2*d + 1. What is s(k)? 3 Let q(v) = -4*v**2 + 5*v - 5. Suppose -a + 5*m + 23 = 0, 4*m - m + 12 = 0. Determine q(a). -26 Suppose 0 = 2*k + 4*j + 1 + 19, 20 = -3*k - 4*j. Suppose k = -12*d + 4*d - 80. Let s(g) = -g - 7. What is s(d)? 3 Let k(d) be the first derivative of d**2 + 18*d - 480. Calculate k(-11). -4 Let v(t) be the third derivative of 13/60*t**5 + 0*t + 11*t**2 + 0 + 0*t**3 + 0*t**4. Calculate v(-1). 13 Let s(t) be the first derivative of -3*t**2/2 - 2*t + 267. Determine s(-5). 13 Let t(w) = -15073*w**2 - 4*w - 2*w + 15074*w**2. Let v be 1/(-5) + 155/25. Calculate t(v). 0 Let u(p) = 4*p**2 - 6*p - 2. Let s(y) = 5*y**2 - 7*y - 2. Suppose 4*i = -2*c - 18, 3*i - 2*c + 10 = -7. Let t(x) = i*s(x) + 6*u(x). What is t(0)? -2 Let q(o) = o**3 - 8*o**2 - o + 3. Let b be (-9 + 7)/(-1 + 3). Let j be b/((5/(-10))/(4 - 0)). What is q(j)? -5 Let s(g) = -g**3 + 5*g**2 - g - 8. Suppose i - 4*h - 12 = 0, -2*i = -h - 7 - 3. What is s(i)? 4 Suppose 0 = -o - 4*o + 10. Let t(v) = 416*v**3 + 0*v**2 - 1 - 428*v**3 + o*v + 0*v**2. Let a = 3 - 2. Calculate t(a). -11 Let x(m) = m**2 + 4*m - 3. Let o = 581 - 590. Calculate x(o). 42 Let y(q) = -q**3 + 4*q**2 + 5*q**3 + 2 + 4*q - q**3. Let a(i) = -5*i - 17. Suppose 37*t - 3 = 38*t. Let r be a(t). What is y(r)? -14 Suppose 93 = 43*p - 79. Let n(l) be the second derivative of 2/3*l**3 + 1/12*l**p + 0 + 3*l**2 + 9*l. Give n(-4). 6 Suppose -10*z = -6*z. Let g(w) = w + 4*w + 1 - 3*w - w**2 + z*w. Calculate g(-1). -2 Let g(r) = r**3 - 2*r**2 - r - 1. Let m(q) = -8*q**2 - 7*q - 14. Let b(j) = -g(j) - m(j). Give b(11). -18 Let w(g) = -g**3 + 7*g**2 - 7*g - 4. Let l(s) = s - s + 8*s**2 - s**2 - 4 - s**3 - 6*s. Let t(o) = -7*l(o) + 6*w(o). Determine t(7). 4 Let w(v) = 2*v**3 - v. Let u(o) = o. Let q(k) = -6*u(k) - 6*w(k). Let l(g) = g**2 - 7*g - 9. Let t be l(8). Give q(t). 12 Let u(r) = 34*r + 93. Let y be u(-3). Let h(g) = -g**3 - 10*g**2 - 5*g - 3. Give h(y). -39 Let r = -1471 + 1465. Let u(n) = -6*n - 33. Calculate u(r). 3 Let i(c) = 51 - c - 3*c - c**2 - 2*c**3 + 60 - 114. Give i(-2). 17 Let n = 12 - 10. Let s(g) = 4*g + 2*g**2 - 4*g**2 - n + 3*g**2. Let f(h) = -h**3 + 8*h**2 - h + 4. Let j be f(8). What is s(j)? -2 Let w(o) = -331*o - 339*o - 5 + 671*o. Determine w(5). 0 Suppose -4*b + 30 = -54. Let i(g) = -b - 32 - g + 61. What is i(6)? 2 Let r(y) = 5*y + 47*y**2 - y**3 + 5*y**3 - 19*y**2 - 3*y**3 - 6 - 21*y**2. Give r(-6). 0 Let h(t) = 5*t - 1. Let b be (-1 - -2)/(4/8). Suppose -2 = -4*g + b. Let m be 3 + 3 + -8 + g. Calculate h(m). -6 Let l(g) be the third derivative of -1/24*g**4 + 1/6*g**3 + 0 + 0*g - 9*g**2. Give l(-1). 2 Let a(w) = w**3 - 6*w**2 + 3*w - 12. Suppose 0 = 3*u - 5*y - 23, u + 3*u - 2*y = 26. Determine a(u). 6 Let h(b) = 3*b**3 - 3*b**2 - b - 1. Let d(j) = j**3 - 2*j**2 - j - 1. Let g(t) = 7*d(t) - 3*h(t). What is g(-3)? 17 Let j be -4 - -1 - (-1 - 2). Suppose 0 = 3*a + 5*z - 4, 3*z + j*z = 3*a + 12. Let s(w) = -w. What is s(a)? 2 Let h(l) = -l + 5. Let c(j) = -j**3 + 12*j**2 + j - 2. Let a be c(12). Let v = 13 - a. Determine h(v). 2 Let f(w) = 8*w - 1. Let a(t) = 2 + 0 + t**2 - 2*t**2 - 4*t. Let g be a(-4). Calculate f(g). 15 Let c be -8 + -24*(3 + -4). Let x(h) = -h**2 + 15*h + 13. Give x(c). -3 Let v(o) = 3*o**3 + o**2 + 1. Let b be v(1). Let h(n) = -4*n - 3. Let w be h(-1). Let s(u) = w + 4*u + 3*u - 6*u. What is s(b)? 6 Let q(l) = -3*l. Let v(p) = -3*p. Let x(a) = 9*q(a) - 6*v(a). Let n = -1557 - -1556. Determine x(n). 9 Let z(q) be the third derivative of 0 + 4/3*q**3 - 1/24*q**4 - 10*q**2 + 0*q. Determine z(-6). 14 Suppose -2*d - 4*a + 108 = 0, 4*d = a + 264 - 21. Let t be (20/d + 2/12)*-4. Let h(b) = -4*b**2 - b - 1. Determine h(t). -15 Let j(d) = 13*d + 23. Let b = -1697 + 1695. Give j(b). -3 Suppose 5*d = -3*z + 19, -d + 3*z + 0*z = 7. Let n(b) = -2*b**2 + 3*b**2 + b + 2 - d*b**2. Give n(-2). -4 Let a(r) = r**3 - 8*r**2 - r + 4. Let m(p) = -3*p - 2. Let h be m(3). Let y(t) = -t**2 - 12*t - 13. Let l be y(h). Let b be 51/6 - l/(-4). What is a(b)? -4 Let o(g) be the third derivative of g**5/20 + g**3/6 + 65*g**2. Give o(1). 4 Suppose 0 = 2*r - 4*n, -5*r + 0*n + 12 = 2*n. Let c(f) = f**2 + f + 1. What is c(r)? 7 Let i(m) = 6*m - m**3 + 2*m**3 - 9 + 2*m**2 - 8*m**2 + 13. Determine i(5). 9 Let m = -65 + 77. Let a(o) be the second derivative of -o**5/20 + o**4 + o**3/6 - 11*o**2/2 + 58*o. What is a(m)? 1 Let j(b) = b**2 - 11*b + 7. Let y be j(10). Let c(u) be the first derivative of u**4/4 + u**3 - 2*u + 3. Determine c(y). -2 Let v(c) = -3*c - 17. Let t(h) = -2. Let z(l) = 18*t(l) - 2*v(l). Calculate z(2). 10 Let w(p) = p**2 - 8*p - 2. Let x = 156 + -153. Let g(k) = -4*k + 3 - 1 - k**2 + 13*k. Let r(a) = x*w(a) + 2*g(a). Give r(5). -7 Let l(v) = v**3 - 8*v**2 + 3*v - 18. Suppose 3*f + 37 - 10 = 3*t, -t - 2*f = -6. Give l(t). 6 Let v(y) be the third derivative of -y**6/120 + y**5/15 - y**4/24 - y**3/6 + 4*y**2. Let z = 12 - 7. Suppose z*n = n + 16. Give v(n). -5 Let u(x) be the third derivative of -x**7/630 + x**6/720 + x**5/120 + 7*x**4/8 - 7*x**2. Let b(q) be the second derivative of u(q). Determine b(2). -13 Let t(o) = -14*o**2 + 1. Let b = 1038 - 1039. Determine t(b). -13 Let w(a) = a - 5. Let m be w(5). Let q = -209 + 324. Let x(y) = 3*y - 124 - 2*y - 2*y + q. Determine x(m). -9 Let g(u) = -u**2 + 5*u - 7. Suppose 5*y - 7*y - 324 = 0. Let d = 168 + y. Calculate g(d). -13 Let l be 8 - (-4 + 2 + 3). Let n(y) = -3*y - 11. Let k(p) = p + 6. Let i be 8/14 + (-315)/(-49). Let c(d) = i*k(d) + 3*n(d). Calculate c(l). -5 Let v(n) = -n**3 + 7*n**2 - 3*n - 5. Let g be 148/20 + 3/5. Suppose 0 = 3*b - 10 - g. What is v(b)? 13 Let q = 2 - 7. Let o = 8 + q. Let c(s) be the first derivative of -s**2/2 - s - 7. Give c(o). -4 Let b(n) = -n + 4. Suppose -12 = -3*p, 4*p = -3*s - 23 + 3. Let k be s/32 + (-51)/(-8). Calculate b(k). -2 Let z(u) be the first derivative of u**2 + 12*u + 23. Determine z(-11). -10 Let v(q) = -2*q**2 - 1. Let z = 52 + -54. Give v(z). -9 Let f(k) be the second derivative of 7/6*k**3 - 18*k + 0 + 7/12*k**4 + 2*k**2 + 1/20*k**5. Suppose 6 = s + 3*p, 0 = -5*s + p - 0*p - 34. Determine f(s). -2 Let n(o) = o**2 - 11. Let k be (-6)/(-2) + -3 + 1. Suppose -9 = -4*r - k. Let x be r/(-1) + (-6)/(-3). Calculate n(x). -11 Let j(z) = 11*z + 1. Let d = 581 - 582. Give j(d). -10 Let s(r) = -12*r + 1 + 18*r - 5*r**2 - r**3 + 8. Suppose 0 = -2*i - 0*i - 8. Let c be i/4 + -8 - -3. Calculate s(c). 9 Suppose -281 + 25 = 32*x. Let d(v) = v**2 + 6*v + 3. Give d(x). 19 Let r(p) = -2*p**2 + 18*p + 6. Let q be r(9). Let a = 0 + -6. Let z = a + q. Let x(s) = -s**2 - s - 3. What is x(z)? -3 Let r(q) = q**2 - 8*q - 10. Let f be r(9). Let p be f/2 - 2/(-4). Let t(l) = l + p + 15 - 29. Determine t(0). -14 Suppose -48*u + 8 = -44*u. Let a(o) = 0
{ "pile_set_name": "DM Mathematics" }
x - 7*x for x. 0 Solve 0 = 5*r - 2*r - r for r. 0 Solve -14 - 1 = 3*b for b. -5 Solve -17*g = 9 - 94 for g. 5 Solve -41*f + 42*f + 3 = 0 for f. -3 Solve 249*f + 72 = 258*f for f. 8 Solve 0 = -7*g + 2*g + 5 for g. 1 Solve -8*a = -77*a + 276 for a. 4 Solve -65 = -17*g - 167 for g. -6 Solve -38 - 4 = 21*r for r. -2 Solve 0 = -3*u - 26 + 38 for u. 4 Solve 0 = -46*s + 32*s + 112 for s. 8 Solve -11*s + 66 = -0*s for s. 6 Solve 3*q = 7 - 1 for q. 2 Solve 69*f - 134 = -686 for f. -8 Solve 0 = -9*p + 12*p - 12 for p. 4 Solve 32*n - 12 = 35*n for n. -4 Solve -27*j + 216 = -3*j for j. 9 Solve 6*j - 9 = 33 for j. 7 Solve b + 6 - 4 = 0 for b. -2 Solve -26 + 20 = 2*j for j. -3 Solve -3*h = -9*h + 5*h for h. 0 Solve 23*j = 4*j for j. 0 Solve -19*k = -138 + 62 for k. 4 Solve -14*z - 3 - 53 = 0 for z. -4 Solve 13*c = 2373 - 2373 for c. 0 Solve -29*z = 5*z + 238 for z. -7 Solve 12*w = 54 - 42 for w. 1 Solve -194*h + 55 = -205*h for h. -5 Solve 0 = -12*p - 37 - 23 for p. -5 Solve -11*i - 41 + 8 = 0 for i. -3 Solve 10*a - 32 = 2*a for a. 4 Solve 290*r - 16 = 292*r for r. -8 Solve -436*j + 431*j = -30 for j. 6 Solve 0 = -10493*z + 10495*z - 20 for z. 10 Solve 26*s = 37*s - 88 for s. 8 Solve -4*j = 9*j - 65 for j. 5 Solve 1358*o - 1371*o = -39 for o. 3 Solve 40 = -16*a + 8 for a. -2 Solve -2*x - 9 = -13 for x. 2 Solve 0 = 10*c + 606 - 526 for c. -8 Solve 37 = -6*k + 61 for k. 4 Solve 0 = k + 8 - 6 for k. -2 Solve 9*t + 7 = -20 for t. -3 Solve 20 = i - 5*i for i. -5 Solve 0 = 61*l - 53*l - 48 for l. 6 Solve 30*w = 34*w - 16 for w. 4 Solve -5*b + 13 + 2 = 0 for b. 3 Solve 20*k + 48 = 4*k for k. -3 Solve 0 = -6*l + 3*l + 12 for l. 4 Solve 37*m - 30*m = 42 for m. 6 Solve 0 = -22*g + 92 - 48 for g. 2 Solve -42*n + 192 = -74*n for n. -6 Solve 39 = -26*w + 169 for w. 5 Solve -5*a + 4070 = 4110 for a. -8 Solve -18*z + 6 = -12 for z. 1 Solve 7*i - 39 = -32*i for i. 1 Solve 5*w + 1 = -4 for w. -1 Solve -4*s - 5 = -9 for s. 1 Solve 7*c + 4*c + 55 = 0 for c. -5 Solve -8*o = -0*o + 48 for o. -6 Solve 233 = -4*f + 221 for f. -3 Solve 212*t = 207*t for t. 0 Solve -2*j = -6*j - 20 for j. -5 Solve 0 = 7*p + 4356 - 4391 for p. 5 Solve 0 = -24*l - 45*l - 345 for l. -5 Solve 104 + 0 = -26*k for k. -4 Solve -19*l + 18*l = 3 for l. -3 Solve -40 = -3350*n + 3354*n for n. -10 Solve 0 = 4*b + 430 - 422 for b. -2 Solve 41 = -33*f + 272 for f. 7 Solve 0 = -9*k - 27 for k. -3 Solve -38*y - 322 + 18 = 0 for y. -8 Solve -3*g - 71 = -53 for g. -6 Solve -8*f - f = 27 for f. -3 Solve -10 = 2*h - 8 for h. -1 Solve -24 = -2*d - 36 for d. -6 Solve -60 = -3*b - 75 for b. -5 Solve 18*h - 6*h = 84 for h. 7 Solve -18*q = -26*q - 8 for q. -1 Solve 2 + 2 = 2*u for u. 2 Solve -2 = -7*g + 8*g for g. -2 Solve 39*y = -112 + 541 for y. 11 Solve 0*q = 3*q - 12 for q. 4 Solve 13*t + 146 - 81 = 0 for t. -5 Solve 57 = 10*g - 29*g for g. -3 Solve -9*i = 242 - 206 for i. -4 Solve 20*k + 300 = 160 for k. -7 Solve 17*z + 5*z = -66 for z. -3 Solve 0 = 4*i - 23 + 43 for i. -5 Solve -61*j - 46 = 137 for j. -3 Solve -2*i - 25 + 29 = 0 for i. 2 Solve 4*w - 27*w = 138 for w. -6 Solve -23*r + 17*r = 6 for r. -1 Solve 17*b - 46*b - 145 = 0 for b. -5 Solve -58*v + 26*v = -18*v for v. 0 Solve 0 = -15*g - 2*g + 85 for g. 5 Solve 11*o - 8*o + 6 = 0 for o. -2 Solve 5*i + 360 = 385 for i. 5 Solve 55*z = 39*z + 128 for z. 8 Solve -42 = 2*i - 16*i for i. 3 Solve 0 = 2*g + 120 - 110 for g. -5 Solve 8*m + 131 = 123 for m. -1 Solve l - 13 = 14*l for l. -1 Solve 43*r - 5 = 42*r for r. 5 Solve 99*n + 21 = 92*n for n. -3 Solve -25*n + 29*n = 8 for n. 2 Solve 0 = -4*f + 11 - 3 for f. 2 Solve 4*o + 4 + 0 = 0 for o. -1 Solve -13*n + 37*n + 72 = 0 for n. -3 Solve -2209*n = -2211*n + 12 for n. 6 Solve -11*a + 28 = -38 for a. 6 Solve -55*k - 78 = -16*k for k. -2 Solve 0 = -20*g - 24 - 76 for g. -5 Solve 0 = -117*o + 127*o for o. 0 Solve -12 = -16*m + 4 for m. 1 Solve y = 543 - 540 for y. 3 Solve 0 = -4*r - 916 + 896 for r. -5 Solve 22*x + 21*x - 35*x = 0 for x. 0 Solve 13 = 3*g + 22 for g. -3 Solve 0 = z + 6*z - 28 for z. 4 Solve -280*a + 18 = -271*a for a. 2 Solve -7*z + 18 = 46 for z. -4 Solve -9*g - 8*g = 68 for g. -4 Solve 71 - 127 = -7*q for q. 8 Solve 40 = 3*l + 5*l for l. 5 Solve -72 = 3*c + 15*c for c. -4 Solve 0 = 10*k + 438 - 368 for k. -7 Solve -44*o + 41*o = 6 for o. -2 Solve -12*l + 241 = 181 for l. 5 Solve 8*x + 3*x = 44 for x. 4 Solve 29*z - 75 = 14*z for z. 5 Solve 3*z - 4 = z for z. 2 Solve 27 - 20 = -7*v for v. -1 Solve 138*f + 45 = 129*f for f. -5 Solve 97 - 89 = 2*h for h. 4 Solve 5*m + 169 = 164 for m. -1 Solve 86*l - 24 = 82*l for l. 6 Solve 3*n - 12*n - 18 = 0 for n. -2 Solve 0 + 0 = 7*a for a. 0 Solve 9*p + 28 = 19 for p. -1 Solve -33 = 8*m - 49 for m. 2 Solve -194 = -86*k + 64 for k. 3 Solve 52*y - 224 = -4*y for y. 4 Solve 4*c - 38 = -50 for c. -3 Solve -5*r + 1 = -19 for r. 4 Solve 0 = 17*t - 102 + 51 for t. 3 Solve -115*q = -71*q - 352 for q. 8 Solve -2 = -13*h + 11*h for h. 1 Solve 0 = 1118*h - 1110*h + 56 for h. -7 Solve 21*f = 12*f - 36 for f. -4 Solve -96 = -145*b + 133*b for b. 8 Solve -136 + 127 = 3*o for o. -3 Solve -198*b = -203*b - 45 for b. -9 Solve -32 = 9*b + 49 for b. -9 Solve i = -5*i - 18 for i. -3 Solve -102*s = -109*s + 21 for s. 3 Solve -799 = -12*m - 811 for m. -1 Solve -22*h - 968 = -792 for h. -8 Solve -81 = 1435*a - 1426*a for a. -9 Solve 0 = 42*v + 25*v + 67 for v. -1 Solve 100*v = 99*v + 7 for v. 7 Solve -40 = 6*v - 10 for v. -5 Solve 23 = -11*a + 12 for a. -1 Solve 25 = 27*w + 133 for w. -4 Solve 73 = -21*k + 10 for k. -3 Solve -23*r - 54 = 15 for r. -3 Solve 18*x - 26 - 10 = 0 for x. 2 Solve -83 = -26*i - 31 for i. 2 Solve 24*r - 7 + 55 = 0 for r. -2 Solve -k - 124 + 121 = 0 for k. -3 Solve -10*y = -0*y - 40 for y. 4 Solve 0*n - 8*n - 24 = 0 for n. -3 Solve 0 = -14*s + 19*s + 5 for s. -1 Solve 5*s = -115 + 90 for s. -5 Solve 4*o + 238 = 238 for o. 0 Solve 62*z - 63*z = 2 for z. -2 Solve 0 = 8*v - v - 28 for v. 4 Solve -8*g + 58 - 18 = 0 for g. 5 Solve 3*u - 49*u = -322 for u. 7 Solve -11*z = -12*z - 2 for z. -2 Solve 0 = -6*a - 4*a + 14*a for a. 0 Solve 7*i = 9*i - 6 for i. 3 Solve 0 = 2*r - 2 - 2 for r. 2 Solve 204 = r + 198 for r. 6 Solve 32 = 108*n - 112*n for n. -8 Solve 5*x + 49 = 24 for x. -5 Solve -3 = 80*r - 77*r for r. -1 Solve 2 = 14*w - 15*w for w. -2 Solve 24*l + 8 = 22*l for l. -4 Solve 3*y = 8*y + 20 for y. -4 Solve -986*r + 994*r - 40 = 0 for r. 5 Solve 8 = -9*y + 8 for y. 0 Solve -41 + 11 = -10*q for q. 3 Solve 2*z + 7 = 15 for z. 4 Solve 30*d + 78 = -12 for d. -3 Solve -80*g + 18 = -62 for g. 1 Solve 18*q = 102 - 48 for q. 3 Solve -11*y + 15 = 4 for y. 1 Solve -88*j + 58*j + 30 = 0 for j. 1 Solve 16*v = 13*v + 15 for v. 5 Solve -8*s + 35 = -s for s. 5 Solve 0 = -23*p + 20*p + 6 for p. 2 Solve -12 = -4*z - 28 for z. -4 Solve 0 = 10*d - 7*d + 15 for d. -5 Solve 1 + 77 = 26*r for r. 3 Solve 61 - 71 = 2*f for f. -5 Solve -8*u - 37 = -53 for u. 2 Solve q = -20*q + 21 for q. 1 Solve 1373*j = 1378*j - 10 for j. 2 Solve 0 = 121*j - 150*j + 203 for j. 7 Solve 0 = -13*b - 26 + 13 for b. -1 Solve 6 = -2*u + 12 for u. 3 Solve 1 = 4*k + 9 for k. -2 Solve -504*j + 174 = -533*j for j. -6 Solve -13*b + 123 = 71 for b. 4 Solve -3*g + 112 = 127 for g. -5 Solve -6*r = -7*r + 7 for r. 7 Solve -14*n + 0 = -28 for n. 2 Solve l = 5*l - 8 for l. 2 Solve 4106*u + 5 = 4105*u for u. -5 Solve 710*h + 45 = 705*h for h. -9 Solve f + 14 = 14 for f. 0 Solve 0 = 13*u + 40*u - 53 for u. 1 Solve -16 = -t - 9 for t. 7 Solve -1 = -6*r - 19 for r. -3 Solve -12*a = -13*a - 7 for a. -7 Solve -15*c = 66 + 9 for c. -5 Solve 35*h + 33 = 68*h for h. 1 Solve -98 = 48*s - 386 for s. 6 Solve -3 = -39*j + 40*j for j. -3 Solve -69*l + 66 = -47*l for l. 3 Solve 0 = 7*f - 32*f - 125 for f. -5 Solve -15*f + 24 - 114 = 0 for f. -6 Solve 0 = 2*f + 5 - 7 for f. 1 Solve 8 - 3 = d for d. 5 Solve 16 = 155*m - 147*m for m. 2 Solve -245*g - 8 = -237*g for g. -1 Solve 271 = -71*x - 155 for x. -6 Solve -32*w + 1 = -31*w for w. 1 Solve -9*l + 4 = 22 for l. -2 Solve -26*r - 3 - 101 = 0 for r. -4 Solve 3*i - 22 = -31 for i. -3 Solve -91*m + 87*m = 0 for m. 0 Solve -4*m + 25 = m for m. 5 Solve 50 = -6*a + 80 for a. 5 Solve -2267 = 2*x - 2275 for x. 4 Solve -7*v + 33 = 4*v for v. 3 Solve -35 = 4*z - 11*z for z. 5 Solve -16*u = -115 + 19
{ "pile_set_name": "DM Mathematics" }
Sort 3, 18, 9, -7689, 2, 5 in ascending order. -7689, 2, 3, 5, 9, 18 Sort 0.4, -4, 3, -4/1917, -2, -0.35 in ascending order. -4, -2, -0.35, -4/1917, 0.4, 3 Put -12766, 121, 2, 5, -1, 48 in decreasing order. 121, 48, 5, 2, -1, -12766 Sort 607, 1899, -136 in increasing order. -136, 607, 1899 Put -1413/2, 5, -5317, 0.3, -0.5 in increasing order. -5317, -1413/2, -0.5, 0.3, 5 Put 4, -1, 19360, -3, 74 in increasing order. -3, -1, 4, 74, 19360 Sort 6, 678, -2, 29, -1 in descending order. 678, 29, 6, -1, -2 Sort -126, -1, 13241. -126, -1, 13241 Sort -14, 62, 3, 2, 250, 1 in decreasing order. 250, 62, 3, 2, 1, -14 Put 3, -5, -24, 4, -338, -2, 6 in descending order. 6, 4, 3, -2, -5, -24, -338 Sort -6, 0, 5, 1, -3, 4, 4624 in descending order. 4624, 5, 4, 1, 0, -3, -6 Put 2321, 0.66, -4, 1, 2/9 in ascending order. -4, 2/9, 0.66, 1, 2321 Put 0, -51, -5, 779, 7 in descending order. 779, 7, 0, -5, -51 Sort -3174, -5, -29706, 4. -29706, -3174, -5, 4 Put 6, 50606, 3/2, 1, -5/2, -3 in descending order. 50606, 6, 3/2, 1, -5/2, -3 Sort 4, -1, 4251, 2, 1352 in ascending order. -1, 2, 4, 1352, 4251 Sort -400, -1, -22055 in descending order. -1, -400, -22055 Sort -15, 0, -4, -55, -68, 3, 4 in descending order. 4, 3, 0, -4, -15, -55, -68 Sort 56, 19, 4265 in descending order. 4265, 56, 19 Sort 803, 1, -207, 8, -3, -2 in descending order. 803, 8, 1, -2, -3, -207 Sort -28, -7, 0.5, -139, -0.2, 2/11 in decreasing order. 0.5, 2/11, -0.2, -7, -28, -139 Sort -30, 13, 10964 in decreasing order. 10964, 13, -30 Sort -204, 128, -4, -16. -204, -16, -4, 128 Put 3, -214, 1/2, 2/11, 2/53, -3 in increasing order. -214, -3, 2/53, 2/11, 1/2, 3 Sort -10, -1965, -31, -79 in increasing order. -1965, -79, -31, -10 Put 73, 4, 97, -10, 5 in ascending order. -10, 4, 5, 73, 97 Put -2, 2, -1048006 in decreasing order. 2, -2, -1048006 Sort -4, 1146, -2369, 3. -2369, -4, 3, 1146 Sort -0.4, 78, 913/2, 5.36 in decreasing order. 913/2, 78, 5.36, -0.4 Sort 57884, 1/7, -1, 0 in decreasing order. 57884, 1/7, 0, -1 Sort -0.01, -3/5, 4, -315, -4 in descending order. 4, -0.01, -3/5, -4, -315 Sort 1030, 155, -4, -5, 9 in ascending order. -5, -4, 9, 155, 1030 Sort -5, 12, 3, 6, 346 in decreasing order. 346, 12, 6, 3, -5 Put 1207, -65, 21, 0, 1 in decreasing order. 1207, 21, 1, 0, -65 Put 0, 225, -7, -10, -5, 33 in descending order. 225, 33, 0, -5, -7, -10 Put -146, -75, -5, -1403 in descending order. -5, -75, -146, -1403 Put -3, -563361, 0 in decreasing order. 0, -3, -563361 Sort 0.3, -4, -32/7, 1, 24/7 in descending order. 24/7, 1, 0.3, -4, -32/7 Put -241511, -35, 0 in descending order. 0, -35, -241511 Put 0.5, 0, 10, -33, -1, -47, 13/3 in increasing order. -47, -33, -1, 0, 0.5, 13/3, 10 Sort 0.06, -104319, -9 in decreasing order. 0.06, -9, -104319 Sort 38, -2, -83, 5, 11, 3 in ascending order. -83, -2, 3, 5, 11, 38 Sort 16, -17, -1, -202. -202, -17, -1, 16 Put 0, -15, -1, 74, 4, 859 in decreasing order. 859, 74, 4, 0, -1, -15 Sort -2/7, -445/97, 41, 5, -1 in descending order. 41, 5, -2/7, -1, -445/97 Put 8, -3, 2, -3/122584, 5 in descending order. 8, 5, 2, -3/122584, -3 Sort 33, 2, 34, -83629 in increasing order. -83629, 2, 33, 34 Put 45, -13, -3, -1064, 10 in descending order. 45, 10, -3, -13, -1064 Put -1, 5887, -2, -3 in ascending order. -3, -2, -1, 5887 Sort -1, 58, -19, -5, 13, 680. -19, -5, -1, 13, 58, 680 Sort 0, 82, -4/29, -15, -27, 2, 1/4 in decreasing order. 82, 2, 1/4, 0, -4/29, -15, -27 Put -98/4103, -2, -2/15 in descending order. -98/4103, -2/15, -2 Put 136, 2/37, -2, -14, 2/9 in descending order. 136, 2/9, 2/37, -2, -14 Sort -0.47, -214/1523, -5. -5, -0.47, -214/1523 Sort -0.5, 1, 2/3, 1.82, 5, 6 in descending order. 6, 5, 1.82, 1, 2/3, -0.5 Sort 0, -30, -13, -1, 6, 4 in ascending order. -30, -13, -1, 0, 4, 6 Sort -8, -2, -27, -4, 2, -622 in descending order. 2, -2, -4, -8, -27, -622 Put -2422, -1/6, 228/59 in ascending order. -2422, -1/6, 228/59 Sort -0.09, 0.4, -0.04, 24, 7, 36 in decreasing order. 36, 24, 7, 0.4, -0.04, -0.09 Put -5/4, 3, -0.3, 0.039, -2/45 in decreasing order. 3, 0.039, -2/45, -0.3, -5/4 Put -4, 6, 15050, -19 in increasing order. -19, -4, 6, 15050 Put -9, -9589, 15, 24 in ascending order. -9589, -9, 15, 24 Put -2841, -22, -3, 144 in increasing order. -2841, -22, -3, 144 Sort 136, -648, -7 in ascending order. -648, -7, 136 Put 5, -169, -235, 0, -5 in descending order. 5, 0, -5, -169, -235 Sort -10, 5, 8, 672. -10, 5, 8, 672 Sort -5, -492097, -10 in descending order. -5, -10, -492097 Sort 244, -55, 54, 3. -55, 3, 54, 244 Put 7, 475, -224 in decreasing order. 475, 7, -224 Put -141, -4, -3, -6, 6, 66 in descending order. 66, 6, -3, -4, -6, -141 Sort 0.02, 0.7, -62.241 in decreasing order. 0.7, 0.02, -62.241 Put 1/5, -75, -79/5, 18 in descending order. 18, 1/5, -79/5, -75 Sort 1, -99, -3, 0.2, -14504 in descending order. 1, 0.2, -3, -99, -14504 Put -4, 2/7, -0.4, -7, 0, -0.8, -2 in decreasing order. 2/7, 0, -0.4, -0.8, -2, -4, -7 Sort -21, -8, 2, -12, -19 in increasing order. -21, -19, -12, -8, 2 Put 2/219, 2/161, 1/17 in descending order. 1/17, 2/161, 2/219 Sort 177, 2, -5, -894. -894, -5, 2, 177 Sort -0.183, 3, 185/6, -1/5 in increasing order. -1/5, -0.183, 3, 185/6 Sort -4, -9, -13, 5, -7, 49, -2 in ascending order. -13, -9, -7, -4, -2, 5, 49 Put 98, -3779, 18, -4, 1 in decreasing order. 98, 18, 1, -4, -3779 Put 3, 3106, 984, -4 in ascending order. -4, 3, 984, 3106 Sort -6, 10, 5, -4, 2, 744, 7 in ascending order. -6, -4, 2, 5, 7, 10, 744 Sort 7277, -461, 23 in increasing order. -461, 23, 7277 Sort 5, 10, -2, 0, 20915, -5 in ascending order. -5, -2, 0, 5, 10, 20915 Put -144, 124, 3386 in decreasing order. 3386, 124, -144 Put 64, -1, 2, 1, 0, 11, 9 in descending order. 64, 11, 9, 2, 1, 0, -1 Sort 1/6, 0.2, 1159, -3/5, -1, 47.6 in descending order. 1159, 47.6, 0.2, 1/6, -3/5, -1 Sort 2, 190440, -120. -120, 2, 190440 Sort -0.1, -1/4, 175, 346, 2 in descending order. 346, 175, 2, -0.1, -1/4 Put 5, -4, -17, 1809, -47 in descending order. 1809, 5, -4, -17, -47 Sort -1, -16, -6, -2665 in increasing order. -2665, -16, -6, -1 Sort 508, 79, 47 in decreasing order. 508, 79, 47 Put 11, 15, 0, -6, -3, 1, -2 in increasing order. -6, -3, -2, 0, 1, 11, 15 Put -4, -1, -2, 3, -2235, 5, 10 in increasing order. -2235, -4, -2, -1, 3, 5, 10 Sort 27, -23, 1032 in descending order. 1032, 27, -23 Sort -3.774, 9/2, -0.0057 in descending order. 9/2, -0.0057, -3.774 Sort 73027, -1, 3, 0, 1, 2, -8. -8, -1, 0, 1, 2, 3, 73027 Put 5, -4, 0, 12, -4981, 19 in decreasing order. 19, 12, 5, 0, -4, -4981 Sort -3/3058, -2, 0.5, 1/5, 1/6, 4. -2, -3/3058, 1/6, 1/5, 0.5, 4 Put 3, -519, -1, -2150 in decreasing order. 3, -1, -519, -2150 Sort 2/7, 0.2, -5156, 5/4 in decreasing order. 5/4, 2/7, 0.2, -5156 Put -76361, -6, 1/8, -0.1 in decreasing order. 1/8, -0.1, -6, -76361 Sort 71, 0, 0.098, -3, 4. -3, 0, 0.098, 4, 71 Sort 363, -7, 2, -5, -6, 18 in decreasing order. 363, 18, 2, -5, -6, -7 Sort 1, -101, 13, 8, 209 in increasing order. -101, 1, 8, 13, 209 Put -2/47, -232, 5/3, 2, -3 in increasing order. -232, -3, -2/47, 5/3, 2 Sort 1/4, -2/11, 520, 2, 0, 37. -2/11, 0, 1/4, 2, 37, 520 Put -51, 37, 0, 3, -1, 5, 4 in descending order. 37, 5, 4, 3, 0, -1, -51 Put -4, 1, 5, -63, -66, -2, -8 in decreasing order. 5, 1, -2, -4, -8, -63, -66 Put 0, -4, 6, 38, -7, 2, 4 in decreasing order. 38, 6, 4, 2, 0, -4, -7 Put 3, -18/5, -1.42, 1.5, 1, -2/3 in decreasing order. 3, 1.5, 1, -2/3, -1.42, -18/5 Put 359666, 3, -2/39 in increasing order. -2/39, 3, 359666 Put 6, -5.03, 3/4, -4, -2/11, -1 in ascending order. -5.03, -4, -1, -2/11, 3/4, 6 Put 1107, 2, -937, -5, 0 in descending order. 1107, 2, 0, -5, -937 Sort -2, 17, -220, 1, 42 in ascending order. -220, -2, 1, 17, 42 Sort 2, 5/4, 7.2441 in increasing order. 5/4, 2, 7.2441 Sort -17/5, -157459, 0. -157459, -17/5, 0 Put -911, 1/6, 35/149 in descending order. 35/149, 1/6, -911 Sort -1/3, -5, 16004, -1, 0.05. -5, -1, -1/3, 0.05, 16004 Put -15919, 2, 5, 0.3, -3, 29 in descending order. 29, 5, 2, 0.3, -3, -15919 Put 0.2514, -83, -1707 in decreasing order. 0.2514, -83, -1707 Sort 2, -4667737, -34 in increasing order. -4667737, -34, 2 Sort 5/7, -5.7, 22455 in increasing order. -5.7, 5/7, 22455 Sort -1, 1, -3, 74283 in decreasing order. 74283, 1, -1, -3 Sort -71826, -79, 2, 4. -71826,
{ "pile_set_name": "DM Mathematics" }
18*j + 88 - 160 for j. -4 Solve -91*d - 32 = -83*d for d. -4 Solve 0 = 4*v - 6 + 26 for v. -5 Solve 237*t = 276*t - 234 for t. 6 Solve 2*t - 1 = -7 for t. -3 Solve 41*x = 49*x + 56 for x. -7 Solve -o + 28 = -8*o for o. -4 Solve 5*j = -2*j for j. 0 Solve 4*o - 7 = -15 for o. -2 Solve -5*g + 3*g = -10 for g. 5 Solve -179 = -32*g + 141 for g. 10 Solve 396*y = 384*y + 48 for y. 4 Solve 0 = -65*g + 57*g - 8 for g. -1 Solve 0 = -10*y - 528 + 628 for y. 10 Solve -9 = -188*g + 191*g for g. -3 Solve -3*a - 20 = -7*a for a. 5 Solve 128 - 93 = -7*x for x. -5 Solve -103*j - 25 = -78*j for j. -1 Solve -7 = 6*v - 31 for v. 4 Solve -183*w + 180 = -219*w for w. -5 Solve 29*z - 6 = 32*z for z. -2 Solve 4*i - 6*i = -10 for i. 5 Solve 0 = -g + 19 - 13 for g. 6 Solve -15 - 1 = 4*u for u. -4 Solve 25*p = 28*p for p. 0 Solve -2*t - 6 = 4 for t. -5 Solve -23 + 18 = 5*g for g. -1 Solve 2*a + 4 = 8 for a. 2 Solve 938 = 2*x + 938 for x. 0 Solve 1654*r + 42 = 1668*r for r. 3 Solve 8*g - 14*g = -30 for g. 5 Solve 115 - 180 = 13*n for n. -5 Solve 3*b + 47 = 59 for b. 4 Solve 60 = -35*d + 5*d for d. -2 Solve 10064*l = 10068*l - 28 for l. 7 Solve 2334 = 2*u + 2342 for u. -4 Solve 11*h + 6 = 8*h for h. -2 Solve 163*y - 1303 = 490 for y. 11 Solve -8*v = 55 - 23 for v. -4 Solve -358 = -4*z - 370 for z. -3 Solve 11 - 6 = -m for m. -5 Solve 2 = 2*v + 8 for v. -3 Solve 437*c - 15 = 434*c for c. 5 Solve 107 + 9 = -58*r for r. -2 Solve 0 = 88*j - 99*j - 11 for j. -1 Solve 6*z - 8 - 16 = 0 for z. 4 Solve 19 = -37*k - 314 for k. -9 Solve -15 = 159*w - 162*w for w. 5 Solve -s = -22*s + 126 for s. 6 Solve -20 = -8*d + 20 for d. 5 Solve 2 = 8*p - 6 for p. 1 Solve 21*i - 285 = -96 for i. 9 Solve -6 = 31*y - 68 for y. 2 Solve 0 = -n - 9 + 7 for n. -2 Solve -138*h + 36*h - 306 = 0 for h. -3 Solve 0 = -2*l - 5 - 3 for l. -4 Solve -m + 17 - 15 = 0 for m. 2 Solve 9*y = -13*y + 22 for y. 1 Solve 19*u - 22 = -136 for u. -6 Solve -15*d = -19*d + 8 for d. 2 Solve -19*u = 26 + 31 for u. -3 Solve 0*m = 58*m + 406 for m. -7 Solve 52*u + 334 - 126 = 0 for u. -4 Solve -73*r + 345 = -20 for r. 5 Solve -3*d = -5 + 2 for d. 1 Solve 479 = f + 484 for f. -5 Solve -53 = -4*j - 81 for j. -7 Solve -61*n + 24 = -67*n for n. -4 Solve -u + 40 = -9*u for u. -5 Solve 10*m = 29*m + 95 for m. -5 Solve 0 = -3*z - 151 + 148 for z. -1 Solve -6*c = 103 - 121 for c. 3 Solve -3*w = -18 + 12 for w. 2 Solve -61*w + 63*w = -8 for w. -4 Solve -9*l = -2 - 79 for l. 9 Solve -21 = 11*l + 34 for l. -5 Solve -17*c - 203 = -186 for c. -1 Solve -2*r + 18 = 4*r for r. 3 Solve 247 - 242 = n for n. 5 Solve 0 = 3*d - d - 10 for d. 5 Solve -21*b + 115 = 2*b for b. 5 Solve 0*m + 35 = -7*m for m. -5 Solve 0 = 9*z - 5 - 4 for z. 1 Solve 67*j = 66*j - 6 for j. -6 Solve -150 = 165*j - 190*j for j. 6 Solve 0 = -9*x + 165 - 120 for x. 5 Solve -25*x - 26 = x for x. -1 Solve 0 = -2*b + 4 - 2 for b. 1 Solve -21*d = -d - 160 for d. 8 Solve 21 = -21*x + 14*x for x. -3 Solve -s + 3 - 6 = 0 for s. -3 Solve 44*n = 22*n - 110 for n. -5 Solve 0 = 87*i - 89*i + 10 for i. 5 Solve -3*f = 9 - 3 for f. -2 Solve -51*a = -54*a - 30 for a. -10 Solve 5*z = -111 + 126 for z. 3 Solve 0 = -454*g + 416*g - 190 for g. -5 Solve -55*h = 65*h - 120 for h. 1 Solve -14*y + 13 = -71 for y. 6 Solve -9*p + 105 = 87 for p. 2 Solve -21*q = -22*q - 6 for q. -6 Solve -48*d + 24*d = -72 for d. 3 Solve -42*q + 41*q = -3 for q. 3 Solve -45 = -54*k + 63*k for k. -5 Solve -2*x = 5*x + 7 for x. -1 Solve s + 128 = 133 for s. 5 Solve -6*q = -24*q - 36 for q. -2 Solve 867*u = 849*u + 18 for u. 1 Solve 5*r = 4*r + 5 for r. 5 Solve -143*y + 134*y - 45 = 0 for y. -5 Solve -56 = -537*p + 530*p for p. 8 Solve 0 = -k - 4 + 6 for k. 2 Solve 3*y - 6 = 5*y for y. -3 Solve -154 = 124*q + 342 for q. -4 Solve 833 - 153 = -85*x for x. -8 Solve d = -d for d. 0 Solve 6 = -9*s - 3 for s. -1 Solve 2*w = -11 + 9 for w. -1 Solve 61 = 4*j + 41 for j. 5 Solve -5*i = 12*i for i. 0 Solve 65*d - 8 = 69*d for d. -2 Solve -3*i + 2 = -10 for i. 4 Solve 26*w - 110 = 37*w for w. -10 Solve -52*m - 12 = -46*m for m. -2 Solve 0 = 18*q - 770 + 860 for q. -5 Solve -43*y + 140 = -63*y for y. -7 Solve -14*g + 11 = -3 for g. 1 Solve -98*k - 8 = -94*k for k. -2 Solve 7 = -18*i - 29 for i. -2 Solve -2 = -15*w + 58 for w. 4 Solve 1 = 12*r - 11*r for r. 1 Solve 6 = 3*a - 5*a for a. -3 Solve -84 = 21*d - 0*d for d. -4 Solve 2*p + 10*p = -0*p for p. 0 Solve 9 = 5*d + 4*d for d. 1 Solve 6*q = -0*q + 6 for q. 1 Solve -7*r + 4*r + 6 = 0 for r. 2 Solve -3*h = 43 - 58 for h. 5 Solve -175*s + 258 = -132*s for s. 6 Solve 142 = 25*b + 42 for b. 4 Solve 18*x - 5*x = -39 for x. -3 Solve -4 = -8*y + 12*y for y. -1 Solve 0 = 4*y - 297 + 281 for y. 4 Solve 120*y - 162 = 39*y for y. 2 Solve -6*y - 4 = 2 for y. -1 Solve -316 + 338 = -22*i for i. -1 Solve -152 = -42*b + 61*b for b. -8 Solve 0 = -7*u + 3*u - 20 for u. -5 Solve -13*v + 15*v + 8 = 0 for v. -4 Solve -10*s - 3 = 7 for s. -1 Solve -22*d - 7*d + 174 = 0 for d. 6 Solve 0 = -11*o - 42 - 46 for o. -8 Solve -13*a + 110 = 9*a for a. 5 Solve 118*l = 113*l - 15 for l. -3 Solve 13 = -6*t - 7*t for t. -1 Solve 15*n + 2*n = -68 for n. -4 Solve -37*j = -19*j + 126 for j. -7 Solve -72 = 10*a - a for a. -8 Solve 6*v = 7*v - 4 for v. 4 Solve 5*h - 16*h - 66 = 0 for h. -6 Solve -18 = -m - 5*m for m. 3 Solve 0 = 20*h - 37 - 23 for h. 3 Solve 12*a = 4*a - 8 for a. -1 Solve 21*k = 6*k - 60 for k. -4 Solve 0 = 5*r + r + 30 for r. -5 Solve -9*m = 18*m - 108 for m. 4 Solve -6*h - 5 = -7*h for h. 5 Solve -76*n - 6 = -82*n for n. 1 Solve 0 = 490*q - 500*q + 90 for q. 9 Solve -9*h + 0 = -9 for h. 1 Solve -10*l = 14 - 24 for l. 1 Solve -2*d = -5*d + 6 for d. 2 Solve 0 = 510*w - 499*w + 33 for w. -3 Solve -132*j + 876 = -180 for j. 8 Solve -3*z = 7*z + 50 for z. -5 Solve -14*n + 26*n = 72 for n. 6 Solve -18*o - 67 = -85 for o. 1 Solve -4182*b = -4177*b + 30 for b. -6 Solve -4*d = 42*d + 92 for d. -2 Solve -53*y + 124*y = -639 for y. -9 Solve 10*g = -4*g - 6*g for g. 0 Solve 2*a = 355 - 353 for a. 1 Solve -12 = -3*i + 9*i for i. -2 Solve -24 = 10*t - 4 for t. -2 Solve -v = 68 - 64 for v. -4 Solve 0 = -37*c + 55*c - 198 for c. 11 Solve 49*g - 59*g - 70 = 0 for g. -7 Solve 0 = 7*s - 4 + 11 for s. -1 Solve 0 = 8*c - 11 + 67 for c. -7 Solve 109*h = -7*h + 348 for h. 3 Solve -1480 = 2*h - 1482 for h. 1 Solve 42*i = -20*i + 248 for i. 4 Solve 10 + 6 = 4*u for u. 4 Solve 0 = 10*t - 19 - 31 for t. 5 Solve 0 = 5*x + 9 - 4 for x. -1 Solve -98*t + 250 = -123*t for t. -10 Solve 0 = 4*p - 21 + 13 for p. 2 Solve -11*h + 266 = 211 for h. 5 Solve -d = 211 - 219 for d. 8 Solve 124 - 107 = -17*r for r. -1 Solve 3*j - 2*j = 10*j for j. 0 Solve -7*j + 2 = 30 for j. -4 Solve 18*l - 1518 = -1590 for l. -4 Solve -10*y = -15*y for y. 0 Solve -240*a = -241*a - 1 for a. -1 Solve -33*n + 98 = -166 for n. 8 Solve -302 = 89*j + 321 for j. -7 Solve 59*o - 368 = 13*o for o. 8 Solve 0 = 30*u - 17*u - 91 for u. 7 Solve 34*s = 18 + 152 for s. 5 Solve -4*u = 8 + 4 for u. -3 Solve -30 = -9*v + 15 for v. 5 Solve -791*f = -793*f + 4 for f. 2 Solve -p + 30 = 34 for p. -4 Solve 11*a = 9 - 42 for a. -3 Solve -616 = 7*g + 70*g for g. -8 Solve 0 = 5*k - 89 + 114 for k. -5 Solve -9*a - 36 = -0*a for a. -4 Solve 0 = 28*h - 10*h - 36 for h. 2 Solve 17*u - 20*u - 12 = 0 for u. -4 Solve -2*s = 7*s - 4*s for s. 0 Solve 37*n = -12*n - 196 for n. -4 Solve 53*h - 9 = 44*h for h. 1 Solve -71 = -17*g - 139 for g. -4 Solve 7*k - k + 12 = 0 for k. -2 Solve 2884 = 5*r + 2854 for r. 6 Solve 0 = -35*a + 44*a - 36 for a. 4 Solve -6 = 5*m + 9 for m. -3 Solve -83*k = 9*k + 92 for k. -1 Solve -57 + 6 = -51*g for g. 1 Solve 130 = -43*u + 17*u for u. -5 Solve 16*x + 12 = 10*x for x. -2 Solve -295*n + 287*n - 16 = 0 for n. -2 Solve -13*b + 34 = 4*b for b. 2 Solve -3*y - 5 = -8 for y. 1 Solve 3*g = -5 + 11 for g. 2 Solve -252 = -27*o - o for o. 9 Solve -385*r + 48 = -377*r for r. 6 Solve -10 = -r - 14 for r. -4 Solve -5*b = 2*b - 4*b for b. 0 Solve 2*s + 22 = 12 for s. -5 Solve 21*v = -15 + 120 for v. 5 Solve 26*q = 39*q - 26 for q. 2 Solve 0 = -5*u - 6 + 16 for u. 2 Solve -42*d = -32*d + 20 for d. -2 Solve 6*u + 10*u + 32 = 0 for u. -2 Solve 15*o + 12 = -33 for o. -3 Solve -22*h = 47 + 63 for h. -5 Solve 0 = -38*p - 229 + 1 for p. -6 Solve 0 = -9*v + 25*v + 48 for v. -3 So
{ "pile_set_name": "DM Mathematics" }
igit of i? 8 Suppose 0 = -10*k + 9*k + 3. What is the units digit of k? 3 Suppose -10*h - 1453 = -5*o - 9*h, 3*o = -3*h + 861. What is the tens digit of o? 9 Let p(c) = -2*c**2 + 12*c - 9. Let l be p(8). Let z = -29 - l. What is the tens digit of z? 1 Let g = 22 + -23. Suppose -4*q - 46 = 5*l - 6*q, -5*q + 7 = l. Let n = g - l. What is the units digit of n? 7 Let m(k) = -k**2 - 14*k - 6. Let l be m(-12). Suppose -2*o + l = 2*u - 0*u, 4 = -4*o. What is the units digit of u? 0 Suppose 127*r = 125*r + 644. What is the units digit of r? 2 Let p(n) = n**3 - 5*n**2 - 5*n + 3. Let j be (-47)/(-8) - (-1)/8. What is the units digit of p(j)? 9 Let t = 216 + -145. What is the units digit of t? 1 Suppose -d + 3*d - 4 = 0. Suppose d = 2*p, 2*n - 19 = -0*n + 3*p. What is the tens digit of n? 1 Let a(d) = 2*d**3 + d**2 + 10*d - 2. What is the tens digit of a(4)? 8 Suppose -6*o - 43 = -517. What is the tens digit of o? 7 Let k = -65 + 23. Let q be 1/(-3) - k/(-9). What is the units digit of q*(34/(-10) - -1)? 2 Suppose -4*v + l + 42 + 17 = 0, 61 = 4*v + l. Let g = v - -11. Suppose -3*a + g = -d, 3*d - 38 = -5*a + 24. What is the tens digit of a? 1 Suppose 7*g + 7 = 126. What is the tens digit of g? 1 Suppose -b - 80 = -3*b. Suppose -4*w = w - b. What is the units digit of w? 8 Suppose 3*m - 6 = h - 31, 64 = 2*h + m. What is the units digit of h? 1 Suppose 12 = -5*f + 32. Suppose 4*n = 5 + 3. Suppose n*d - 3*d = -f. What is the units digit of d? 4 Suppose 0*a + a = 3. Suppose a*l = 2*l + 4. What is the units digit of l? 4 Let w(j) = j**2 - 10*j + 1. Let g be (15/2)/((-9)/(-12)). What is the units digit of w(g)? 1 Let d = -267 - -461. What is the tens digit of d? 9 Let o(n) = -n**2 + 10*n + 11. Let w be (6/2)/(8/24). What is the units digit of o(w)? 0 Let h = 26 - 58. Let q = 47 + h. What is the tens digit of q? 1 Suppose 0 = -5*i, -6*r + 2*i - 181 = -7*r. What is the tens digit of r? 8 Suppose -2*v + 312 = 3*v - a, 0 = 2*v - 4*a - 114. What is the units digit of v? 3 Let y = -8 + 10. Suppose -4*t + 5*d + 99 = 0, -y*t + 4*t - 36 = -2*d. What is the tens digit of t? 2 Suppose 6*u - 12 = 3*u. Suppose u*i = -0*i + 48. What is the tens digit of i? 1 Let g(q) = -2*q + 2 + 4 + 2*q - q. What is the tens digit of g(-6)? 1 Suppose 0 = -d - 7*d + 488. What is the units digit of d? 1 Let q(h) be the first derivative of -h**4/4 - h**3 - 3*h**2/2 - 7*h + 1. What is the units digit of q(-5)? 8 Suppose -c = 5*h + 4*c - 355, 2*h - 151 = c. Suppose 0 = -5*q - 2*z + h, 2*z = 2*q + z - 35. What is the units digit of q? 6 Let l(r) = r**3 - 8*r**2 + 7*r + 9. Let m be l(7). Let o = m - 5. Suppose o*h + 4 - 16 = 0. What is the units digit of h? 3 Suppose 3*z + 5 = -6*g + 4*g, 3*z - 4*g - 1 = 0. Let d(v) = -v + 1. Let c be d(z). Suppose 0 = -3*w + 22 + c. What is the units digit of w? 8 Let v(f) = 10*f**3 + 3*f**2 - f - 2. Let i be v(2). Suppose 5*h + i = h. Let m = -16 - h. What is the units digit of m? 6 Let v(a) be the third derivative of 7*a**4/24 - 2*a**3/3 - a**2. Let y be v(4). What is the units digit of 10/4*y/15? 4 Let u be (-3)/9*(9 + (-2 - -2)). Suppose -14 = 3*f + 5*s, -s = -2*f - 0*f + 8. Let g = f - u. What is the units digit of g? 5 Let m = -5 + 2. Let r(n) = -n**3 - n - 3. What is the tens digit of r(m)? 2 Suppose -3*j + 907 = 2*j + 4*k, -3*j + 4*k + 557 = 0. What is the tens digit of j? 8 Let i = 313 - 48. What is the tens digit of i? 6 Suppose 76 = -0*m + 3*m + r, m - 5*r = 36. What is the units digit of m? 6 Suppose -80 = 3*r - 8*r. What is the units digit of r? 6 Let v(c) be the second derivative of -c**6/120 - c**5/30 + c**4/12 - c**2/2 + 2*c. Let i(m) be the first derivative of v(m). What is the units digit of i(-3)? 3 Let m = 444 - 207. What is the hundreds digit of m? 2 Let b(g) = -19*g**3 - 2*g - 1. Let l be b(-1). Suppose -x + 2*r + l = 0, -x - 50 = -4*x + 4*r. What is the tens digit of x? 1 Let t = 7 + -5. Let u(p) = -2*p + 1. Let v be u(t). Let m = 3 - v. What is the units digit of m? 6 Suppose 4*z - 10 = 2, o - 4*z = 4. What is the units digit of o? 6 What is the units digit of 15 - (-2 + 1) - -1? 7 Suppose -7 = -d - c, d + d + 1 = -5*c. Let y = d + -5. What is the units digit of y? 7 Suppose -4*j + 767 = -d, -j - 2*j = -3*d - 573. What is the hundreds digit of j? 1 Let j be 5/(5/(-3)) + 8. What is the units digit of 3/(-12)*0 + j? 5 Suppose -4*k + 4*u + 28 = 0, -6*u - 26 = -5*k - 4*u. Suppose 6 = -5*t + 4*a + 18, k*t - 2*a - 6 = 0. Suppose -3*c + 0*c + 18 = t. What is the units digit of c? 6 Let t(u) = -3*u - 3. Let x be t(-4). Let l = x - 4. Suppose -l*w + 11 = -14. What is the units digit of w? 5 Let h(g) = 4*g - 1. Let l(q) be the third derivative of q**4/24 - 3*q**2. Let z(u) = 6*h(u) - 26*l(u). What is the units digit of z(-6)? 6 Let q = 36 + -3. What is the tens digit of q? 3 Let n(u) = 2*u**3 - 2*u**2 - u - 1. Let m be n(2). Suppose -d + 8 = -m*d. Let b = d - -4. What is the units digit of b? 2 What is the units digit of ((-33)/(-12))/((-6)/(-192))? 8 Let k(j) = 3*j**3 - 5*j**2 + 6*j - 2. Let t(h) = -h**3 - h**2 + h - 1. Let u(g) = -k(g) - 2*t(g). What is the units digit of u(5)? 4 Let y = 1 - 1. Suppose 17 = 5*d - 3*d + b, y = 4*b - 4. Let a = d - 3. What is the units digit of a? 5 Suppose -64 = -2*o - 2*o. Let u be o/24*(-6)/4. Let d(y) = -11*y**3 - y - 1. What is the units digit of d(u)? 1 Let g(h) = 11*h + 9. What is the hundreds digit of g(15)? 1 Let g(l) = -2*l**3 - 3*l**2 + 5*l - 1. Let n be g(-4). Let a = n - 42. What is the tens digit of a? 1 Suppose j = 5 + 16. Suppose 120 = 2*g + 2*g. Let d = g - j. What is the units digit of d? 9 Suppose 0*l - 3*l = h + 34, h + 23 = -2*l. Suppose 5*p = 15, -4*p - 84 = -8*n + 4*n. Let u = n + l. What is the tens digit of u? 1 Suppose 6*i - 3*i - 5*v - 277 = 0, 0 = -3*i + 2*v + 262. What is the units digit of i? 4 Let t = -185 - -286. What is the units digit of t? 1 Suppose -6 + 0 = -2*v. Let w(b) = -b**2 + 4*b + 1. Let r be w(v). What is the units digit of (-2)/(-4) + 10/r? 3 Let g(z) = z**3 + 7*z**2 + 4*z + 1. Let j be (6/(-8))/(8/64). What is the tens digit of g(j)? 1 Let q(o) = -2*o - 12. Let i be q(-8). Suppose 0 = i*z - 3*h + 41, 5*z + 0*h - 2*h + 46 = 0. What is the units digit of ((-3)/1)/(6/z)? 4 Let a = 2 + 1. Let h = -12 + a. What is the units digit of (-2 - h)/1 + -2? 5 What is the units digit of -3*1/1*(-31 + 0)? 3 Let s(a) = -5*a**3 + 16*a - 9. Let h(v) = -v**3 + 3*v - 2. Let j(p) = -11*h(p) + 2*s(p). Let u(q) = -q**2. Let b be u(0). What is the units digit of j(b)? 4 Let a(t) = t - 3. Let p be a(9). Suppose -j + p = 2*j, -j = -r + 7. Let q = 17 - r. What is the units digit of q? 8 Let g = -2 - -4. What is the units digit of (-602)/(-49) + g/(-7)? 2 Let s be 0/(-3) - -2 - 2. Suppose 4*a + 4*t - 13 - 83 = s, -96 = -4*a + 5*t. Suppose -k - 5*x = 1 - a, 0 = 4*k + 5*x - 47. What is the units digit of k? 8 Suppose -2*x + 3*x - 4 = 0. Suppose -74 - 54 = -x*s. What is the tens digit of s? 3 Let m(f) = f**2 + 3*f + 2. Let k be m(-2). Suppose k = c - 6. Let i = c + -2. What is the units digit of i? 4 Let k be 172/6*(-3)/(-2). Let x = k + -16. What is the units digit of x? 7 Suppose 2*y = -2*w + 12, y + 3*w = 4 + 4. Let a = y + 11. What is the tens digit of a? 1 Let v(a) = a + 7. Let q be v(5). Suppose -q - 10 = -2*u. What is the tens digit of u? 1 Suppose -9*u = -1548 - 360. What is the units digit of u? 2 Suppose 5*o - 4*m = 161, -2*o + 3*m + 99 = o. What is the tens digit of o? 2 Let t(l) = -2*l + 7*l + l - 5*l - 3. Let f be t(6). Suppose 5*y + 15 = 5*u, 0*y - f*y = u - 11. What is the units digit of y? 2 Let q(l) be the first derivative of l**4/4 - 5*l**3/3 + l**2/2 + 3*l + 8. What is the units digit of q(5)? 8 Let u be ((-4)/(-5))/(12/90). Let l = u + -3. What is the tens digit of (-3)/2*(-20)/l? 1 Let y(p) = p**3 + 10*p**2 - 11*p + 5. What is the units digit of y(-11)? 5 Let u(z) = -3*z - 2. Let i be u(-2). Let r = -3 + i. Suppose -10 = -2*w + 2*o, r = -o + 3. What is the units digit of w? 7 Let a(z) = -5*z + z**2 + 0*z - 4 + 5 + 2*z. Suppose u + 4*u = 15. What is the units digit of a(u)? 1 Let n = -58 + 83. What is the units digit of n? 5 Let g = 768 - 485. What is the hundreds digit of g? 2 Suppose -10 = -r - r. Suppose -109 = -r*q - 2*n, -n + 0*n = 3*q - 65. What is the units digit of q?
{ "pile_set_name": "DM Mathematics" }
62 Which is greater: 1296 or 1297? 1297 Is -220 != -228? True Are 9 and 11 equal? False Which is smaller: -48 or -41? -48 Do -2 and -62.2 have the same value? False Is -50 greater than -49? False Is -69 smaller than -64? True Are -997 and -1002 unequal? True Which is smaller: 13982 or 13983? 13982 Are 189 and 187 equal? False Is 2825 bigger than 2826? False Is -1/32 >= 1? False Do -1 and -9/4694 have different values? True Is 46 at least 37? True Is 109/4 greater than 26? True Which is bigger: -25 or -938/37? -25 Which is smaller: -121 or -115? -121 Which is bigger: -1748 or -1747? -1747 Is 3/11033 <= 1? True Does 1083/4 = 271? False Which is smaller: 128 or 646/5? 128 Is -3/6667 at most 0? True Is -4 less than -54/13? False Is -1/567 greater than -1/5? True Which is bigger: 2/11953 or -1? 2/11953 Are 122/5 and -1/3 equal? False Which is greater: 489 or 480? 489 Is 1 not equal to 15/1423? True Which is greater: 2 or -2/113? 2 Is 4 greater than 123/34? True Is -6 <= 4/61? True Which is greater: 14 or -169? 14 Which is smaller: 25871 or 1? 1 Is 0 less than -5/2093? False Does 645 = -0.4? False Is 53 <= -0.5? False Do 1 and -1/38682 have different values? True Which is smaller: -12 or 69? -12 Is 245/16 at most as big as 15? False Is 573/20 greater than 0? True Which is smaller: 177 or 178? 177 Is 6 less than or equal to 84/13? True Is -1318/15 less than -88? False Is -30 greater than -28? False Which is smaller: -3698 or -0.2? -3698 Is 2459 != 0.1? True Which is smaller: -620 or -619? -620 Are -36593 and -36594 nonequal? True Which is smaller: 22 or 13/3? 13/3 Is 4/937 less than 1? True Which is smaller: 161 or -7? -7 Do 0.1 and 5/37 have the same value? False Do 0 and -472 have the same value? False Is 32 equal to 33? False Which is greater: -269/8 or -0.3? -0.3 Which is bigger: -2498 or -2496? -2496 Is 89 < 87? False Is -6 bigger than -29/6? False Which is smaller: 50 or -0.1? -0.1 Is -1582 bigger than -1584? True Is 8872 equal to 8871? False Which is greater: 1 or 2/14729? 1 Which is smaller: -24 or -22? -24 Which is bigger: -1/4 or 36? 36 Is -92 != -104? True Is -63 bigger than -61? False Is 0.16 at most as big as 23/4? True Which is smaller: 87 or 88? 87 Which is bigger: 15 or 27? 27 Is 179/16 smaller than 11? False Which is smaller: -354 or -2? -354 Is 4583 at least -2? True Is -248 less than or equal to -248? True Is 293 < -1/8? False Is 1256 at most 1? False Is -0.0605 < -9? False Is 1663 bigger than 3? True Is -3 less than -28/15? True Is 2/21 less than or equal to 3/17? True Is 2/4571 greater than 1? False Are 1 and 1/738 equal? False Which is smaller: 10 or 53/5? 10 Is -24 smaller than 2/39? True Is -1 equal to -121/228? False Is 386 equal to 385? False Which is smaller: 0 or -2/2813? -2/2813 Which is smaller: 0.8 or -1681? -1681 Is 14/3019 bigger than 1? False Is -1 smaller than -26/175? True Which is greater: 0.1 or 135.9? 135.9 Which is smaller: 12 or 17? 12 Is -1 > 2/427? False Is -7/6 < 5? True Which is smaller: 5 or 9? 5 Is -893 greater than -894? True Which is smaller: -4/143 or 0? -4/143 Is 253/6 > 42? True Which is smaller: 5/1176 or -1? -1 Which is smaller: 684 or 678? 678 Which is bigger: 0 or -21/950? 0 Is -0.7 less than 15? True Do -9887 and -9886 have the same value? False Which is greater: -7262/5 or -1453? -7262/5 Is 1 <= 8/9115? False Which is smaller: -99 or -96? -99 Which is bigger: 29 or 173/6? 29 Is 51 greater than -43? True Is 4813/8 not equal to 601? True Which is smaller: -1684 or -1680? -1684 Does 3/8788 = -1? False Which is smaller: -148 or -157? -157 Which is greater: 2 or 117? 117 Which is greater: 1 or -1/1440? 1 Do 10 and 14 have the same value? False Which is smaller: -602 or -604? -604 Does -29175 = 1? False Which is bigger: 302/69 or 4? 302/69 Which is greater: 1/5 or -213? 1/5 Which is smaller: -5899 or -5898? -5899 Is 43 >= 39? True Is -8 at most 588? True Is 1 less than or equal to 3/2200? False Which is smaller: 217 or 218? 217 Is -1 != -18/77? True Which is smaller: -1 or 3/896? -1 Are 2/137 and -1 equal? False Which is smaller: -0.3 or -0.063? -0.3 Which is smaller: -412 or -403? -412 Is -0.15475 >= 0? False Which is smaller: -12/7 or 1/99? -12/7 Are -2175 and -2176 unequal? True Is 89 <= 1? False Is 0 greater than -1/26? True Which is greater: 0 or -30/763? 0 Is 183 equal to 182? False Which is smaller: -74/19 or -4? -4 Is -1 less than 48? True Which is bigger: 2/1543 or -1? 2/1543 Which is smaller: 0 or 74.5? 0 Is 635 equal to 635? True Which is greater: 10 or -0.2? 10 Is 0 greater than -17/1984? True Which is smaller: 777 or 775? 775 Is -118 bigger than -120? True Is -1 bigger than -55/37? True Are 22454 and -1/2 non-equal? True Is 32 greater than or equal to 25? True Do -1/4 and 0 have different values? True Which is greater: -81 or -153? -81 Which is greater: -253 or -266? -253 Which is smaller: -1 or 11/28? -1 Are 330 and 328 non-equal? True Which is smaller: -1 or -2/405? -1 Which is greater: -171 or -188? -171 Is 0 greater than or equal to -4/1831? True Is 2/2827 equal to 0? False Which is smaller: 4218 or 12655/3? 4218 Are -491 and -492 unequal? True Which is smaller: -6/289 or -1? -1 Is 3/5086 not equal to 1? True Is 111 <= 118? True Which is smaller: 40 or -4? -4 Which is smaller: -8 or -3? -8 Is -22 != -0.046? True Is -29 bigger than -1/8? False Which is smaller: 0 or -86/327? -86/327 Which is smaller: 3804 or 2? 2 Is 376 less than or equal to 376? True Is -26/11 at least as big as -1? False Is 853 at most as big as 5113/6? False Which is bigger: -1 or 26/103? 26/103 Which is smaller: -325 or 0? -325 Is 0 greater than 3/15236? False Which is greater: 1 or 25/71? 1 Which is greater: -1 or -24/65? -24/65 Is -19 less than or equal to -351? False Is -2/3 > -599? True Does -1 = -2/623? False Is -397 at most as big as -396? True Which is greater: -55 or 13? 13 Is 12661 greater than 12660? True Is -1 less than -2/3023? True Which is smaller: 151 or 143? 143 Is 7856 != 7855? True Which is smaller: 0 or 24/131? 0 Which is smaller: 0.89 or 0.03? 0.03 Do -4/561 and 1 have the same value? False Does 0.1 = -1.51? False Which is smaller: -23 or -0.11? -23 Which is smaller: 1 or -1/27? -1/27 Is 0.19 < 281? True Which is smaller: 38 or 24? 24 Which is smaller: 350 or -2? -2 Does 392 = 393? False Is -85 less than or equal to -87? False Is -4 <= -78/23? True Is 274 smaller than 275? True Is -1 <= 0.0231? True Is -1 at least as big as 3/19259? False Is -711 less than -701? True Which is bigger: 94/3 or -7.8? 94/3 Which is smaller: -2/5957 or -1? -1 Which is bigger: 107 or 143? 143 Which is smaller: -335 or -336? -336 Is -5 bigger than 27? False Is 117 not equal to 20? True Are -393 and -387 equal? False Is -1 smaller than -51/95? True Which is smaller: -15 or 2? -15 Do -204 and -206 have different values? True Which is greater: -1/611 or 1? 1 Which is smaller: 175 or 64? 64 Which is bigger: -2/149 or -0.16? -2/149 Does -0.1 = 0.05437? False Which is greater: 1 or 1/2982? 1 Is 69/245 bigger than 0? True Which is bigger: -4567 or -1? -1 Does 2983 = 2983? True Is 0 at least 16/49? False Is 246/59 > 3? True Which is bigger: 1 or 2/913? 1 Which is smaller: 0.2 or -2/2401? -2/2401 Is 0.1 greater than or equal to 879? False Are -0.7 and 258 unequal? True Which is greater: -231/4 or -58? -231/4 Is 4 smaller than 97/20? True Which is smaller: -1 or -4/129? -1 Is 7999/8 at most as big as 1000? True Which is smaller: 1/333 or 0? 0 Which is smaller: 12 or 578/49? 578/49 Do -746 and -746 have different values? False Is 1 < -3/370? False Which is smaller: 199 or -0.1? -0.1 Which is bigger: -216 or -219? -216 Which is smaller: 0 or -85/173? -85/173 Which is bigger: 354/11 or 1/4? 354/11 Is -38/555 less than or equal to 0? True Is 3 < -1.3? False Is 0 greater than -0.0096? True Which is bigger: 4.13 or 1? 4.13 Is -308 at least as big as -308? True Does 805 = 799? False Which is smaller: -118 or -1546/13? -1546/13 Which is smaller: 2/14917 or 0? 0 Which is smaller: 1/129 or -26? -26 Which is bigger: 975/4 or 243? 975/4 Is -1 != -4/505? True Which is greater: 3 or 1/32? 3 Is 400 at least as big as -22? True Is 0.2 <= 1/247? False Is 1/3 at most as big as 0.216? False Is 0 <= -75/11? False Is -1 at least -4/35? False
{ "pile_set_name": "DM Mathematics" }
. Give l(3). 6 Let x(f) = -2*f**2 + 2*f + 2. Calculate x(2). -2 Let l(v) = -3*v**2 - 3*v + 3. Calculate l(-3). -15 Let t(l) = -l**2 - 6*l - 2. Calculate t(-3). 7 Let o(r) = -20*r + 3. Give o(2). -37 Let r(o) = -8*o**2 + 47*o + 6. Calculate r(6). 0 Let s(k) = -k + 6. Give s(-10). 16 Let a(f) = -f**3 - 5*f**2 - 3*f - 4. Give a(-5). 11 Let v(l) = -4*l**2 + 3*l - 3. Calculate v(3). -30 Let c(s) = s**3 - 9*s**2 - 22*s + 4. Determine c(11). 4 Let y(o) = -o**2 + 4*o + 4. What is y(2)? 8 Let f(q) = 6*q + 6. Determine f(-3). -12 Let v(n) = 2*n**2 + 13*n + 9. What is v(-8)? 33 Let r(s) = 2*s - 27. What is r(15)? 3 Let f(j) = -j**3 + 9*j**2 + 21*j + 15. What is f(11)? 4 Let y(m) = -3*m**2 - 48*m - 12. Give y(-14). 72 Let i(j) = j - 12. Determine i(9). -3 Let u(k) = k**3 - 7*k**2 - k - 6. Determine u(5). -61 Let h(s) = -73*s + 6. Calculate h(3). -213 Let n(o) = 2*o**3 - 32*o**2 - 3. Determine n(16). -3 Let q(a) = -a**3 + 9*a**2 + 11. Give q(9). 11 Let k(q) = -3*q**2 + q - 1. What is k(2)? -11 Let y(d) = 4*d**2 - 129*d - 105. What is y(33)? -6 Let b(d) = 4*d - 159. Give b(41). 5 Let y(x) = -10*x + 121. What is y(14)? -19 Let v(m) = -2*m**3 + 54*m**2 + 63*m - 201. Determine v(28). -5 Let m(c) = c**3 - 6*c**2 + 4. Give m(6). 4 Let a(n) = -8*n**3 - n**2 + n. Calculate a(2). -66 Let x(g) = g**2 + 22*g + 119. Calculate x(-10). -1 Let c(k) = -k**3 - 8*k**2 - 6*k + 11. What is c(-7)? 4 Let o(p) = p**3 - 14*p**2 - 6. Determine o(14). -6 Let p(i) = -i**3 + 2*i**2 + 5*i + 2. Calculate p(-2). 8 Let d(t) = -13*t + 25. Give d(-6). 103 Let m(j) = -j**2 - 2*j - 213. Give m(0). -213 Let p(w) = -27*w - 1. What is p(4)? -109 Let z(i) = 19*i**3 - i**2 - i. What is z(-1)? -19 Let n(g) = -13*g - 758. Give n(-57). -17 Let v(r) = r**2 + 50*r + 57. What is v(-49)? 8 Let p(b) = b**3 + 13*b**2 + b - 9. Give p(-13). -22 Let v(i) = 7*i**2 - 22*i + 4. Calculate v(5). 69 Let d(b) = b**2 - 21*b - 46. Calculate d(22). -24 Let g(q) = -48*q - 195. Determine g(-4). -3 Let a(i) = -4*i**3 - i**2 + 4*i - 3. Give a(2). -31 Let k(c) = -4*c - 10. What is k(3)? -22 Let r(q) = 6*q - 74. What is r(12)? -2 Let h(p) = 8*p. Give h(-4). -32 Let i(p) = p**3 - 3*p**2 + 5*p - 6. Determine i(2). 0 Let w(d) = -6*d - 18. What is w(-4)? 6 Let m(a) = -5*a - 155. What is m(-30)? -5 Let b(d) = -d - 2. Determine b(6). -8 Let q(l) = -l**3 + 47*l**2 + 46*l + 97. What is q(48)? 1 Let y(c) = -c**2 + 29*c - 39. What is y(26)? 39 Let r(n) = -29*n + 64. Calculate r(2). 6 Let v(o) = 66*o**2 - 4*o + 3. Calculate v(1). 65 Let i(t) = -t**3 + 10*t**2 - 12*t - 5. What is i(9)? -32 Let m(f) = -f**3 - 2*f - 7. Determine m(0). -7 Let d(v) = v**3 + 5*v**2 - 28*v + 7. Determine d(-9). -65 Let z(t) = t**3 + 14*t**2 + t + 10. Give z(-14). -4 Let t(p) = -p + 11. Determine t(-6). 17 Let w(z) = -z**2 + z + 8. Determine w(0). 8 Let w(v) = v**2 - 8*v - 4. Determine w(9). 5 Let t(h) = 3*h**2 + 37*h - 8. Determine t(-15). 112 Let v(c) = 8*c**2 - 10*c. Determine v(4). 88 Let u(w) = w**2 + 12*w - 14. Calculate u(-15). 31 Let q(s) = s**2 - 19*s - 227. Determine q(-8). -11 Let u(q) = -q**2 + 6*q + 5. What is u(4)? 13 Let j(z) = 8*z + 2. Give j(5). 42 Let r(q) = -8*q + 5. What is r(-7)? 61 Let c(g) = -g**3 - 10*g**2 - 6*g - 11. Determine c(-9). -38 Let a(c) = -2*c - 1. Calculate a(-3). 5 Let u(c) = -c**3 + 5*c**2 - 8*c + 6. Give u(3). 0 Let v(d) = -2*d**2 - 14*d - 26. What is v(-7)? -26 Let a(z) = -10*z + 19. Give a(3). -11 Let c(f) = -8*f - 50. Calculate c(-5). -10 Let g(p) = 55*p - 4. Calculate g(1). 51 Let x(o) = -o**3 - o**2 + 9*o + 8. Calculate x(-4). 20 Let h(d) = -50*d - 1103. Calculate h(-22). -3 Let h(o) = -2*o**2 - 16*o - 15. Determine h(-11). -81 Let s(b) = -b**3 - 8*b**2 + 4*b + 24. Calculate s(-8). -8 Let q(k) = -k**3 - 8*k**2 - 3*k + 19. Calculate q(-7). -9 Let p(i) = 3*i - 35. Calculate p(15). 10 Let t(b) = 5*b**2 + 9*b + 7. Give t(4). 123 Let g(k) = 12*k + 44. Give g(-4). -4 Let k(n) = n**3 - 7*n**2 - 9*n - 8. Calculate k(8). -16 Let n(s) = s**3 + 26*s**2 + 28*s + 28. Give n(-25). -47 Let v(y) = y**2 + 7*y - 455. What is v(18)? -5 Let r(w) = -55*w + 869. Determine r(16). -11 Let t(x) = -x**3 + 11*x**2 - 9*x - 1. Determine t(10). 9 Let c(w) = w**2 + 5*w - 2. What is c(-6)? 4 Let h(w) = -11*w - 263. Determine h(-29). 56 Let p(v) = -v**3 - v**2 - v + 4. Give p(4). -80 Let q(w) = w**3 - 15*w**2 - 11*w - 25. Determine q(16). 55 Let g(t) = t**2 - 13*t + 3. Give g(9). -33 Let q(t) = 45*t. Give q(1). 45 Let r(t) = 33*t - 621. Calculate r(19). 6 Let g(k) = 6*k**3 - 7*k**2 + 4*k + 2. What is g(2)? 30 Let j(o) = o**3 + 7*o**2 + o - 2. What is j(-6)? 28 Let f(j) = j**2 + 3*j + 4. Calculate f(-3). 4 Let y(h) = h**3 - 7*h**2 + 6*h - 8. Determine y(5). -28 Let p(s) = -s**3 - 5*s**2 + 5*s - 6. Calculate p(-5). -31 Let b(l) = l**3 - 5*l**2 - 9*l + 25. Calculate b(6). 7 Let n(j) = j + 13. Calculate n(-17). -4 Let h(n) = -9*n**2 - 2*n + 1. Calculate h(-2). -31 Let h(j) = j + 8. Give h(-4). 4 Let w(i) = 2*i + 49. What is w(-25)? -1 Let f(j) = j**3 + 2*j**2 - 10*j - 3. Determine f(-4). 5 Let i(p) = -p**3 - 6*p**2 + 4*p + 23. Calculate i(-6). -1 Let a(i) = -2*i**2 + 8*i. Determine a(7). -42 Let q(x) = 19*x**2 - 2*x + 1. Calculate q(1). 18 Let y(w) = -w**2 - 5*w + 4. Give y(-7). -10 Let p(d) = -d**3 + 2*d**2 - 2*d - 3. Give p(2). -7 Let b(k) = -k**2 + 32*k + 14. Calculate b(27). 149 Let k(z) = z**3 + 9*z**2 - 8*z + 6. Give k(-10). -14 Let z(m) = m**2 - 13*m + 34. Give z(11). 12 Let f(n) = -7*n + 178. Calculate f(27). -11 Let c(t) = -17*t - 11. Determine c(0). -11 Let p(v) = v**3 + 4*v**2 + 2*v + 1. Determine p(-3). 4 Let u(w) = -w**2 + 28*w - 49. Calculate u(26). 3 Let b(m) = -3*m**2 + 15*m - 10. Calculate b(4). 2 Let z(m) = 5*m**2 + 8*m - 3. Give z(-3). 18 Let m(c) = -2*c**3 + 16*c**2 - 19*c + 30. Determine m(7). -5 Let z(w) = -6*w - 1. Calculate z(-2). 11 Let v(z) = z**3 + 27*z**2 + 32*z - 44. Give v(-26). -200 Let l(g) = -g**3 - 10*g**2 + 3*g + 12. Give l(-10). -18 Let c(h) = 62*h. Calculate c(-1). -62 Let d(p) = 17*p + 166. Calculate d(-10). -4 Let y(m) = -m**3 + 10*m**2 - 12*m + 23. Give y(9). -4 Let z(p) = p - 18. Calculate z(9). -9 Let x(q) = -18*q**2 + 89*q + 5. Give x(5). 0 Let b(s) = -3*s**2 + 3*s - 3. Determine b(3). -21 Let a(r) = -r**3 - 11*r**2 - 19*r - 21. Calculate a(-6). -87 Let w(s) = -8*s + 224. Calculate w(29). -8 Let z(o) = o + 8. Give z(7). 15 Let x(j) = j**3 + 17*j**2 + j - 46. Give x(-17). -63 Let y(n) = n + 17. What is y(-5)? 12 Let s(a) = a**2 + 6*a - 3. What is s(-8)? 13 Let g(u) = u**3 - 9*u**2 + 2*u - 10. Give g(9). 8 Let r(n) = 3*n**2 - 61*n - 30. What is r(21)? 12 Let j(o) = -66*o + 9. Give j(-1). 75 Let u(i) = 5*i - 55. Calculate u(15). 20 Let b(c) = c - 23. Calculate b(27). 4 Let m(n) = n**2 + 2*n + 1. Determine m(3). 16 Let f(t) = t**2 + 3*t + 3. Give f(-6). 21 Let i(f) = -f**3 + 2*f**2 + 9*f - 11. Determine i(4). -7 Let y(r) = r**3 - 8*r**2 + 13*r + 5. Calculate y(6). 11 Let s(a) = 2*a + 1. Give s(4). 9 Let s(x) = x**3 + 3*x**2 + 5*x + 1. What is s(-4)? -35 Let w(b) = b**2 - 32*b - 36. Determine w(32). -36 Let j(d) = -7*d**2 + d + 13. Calculate j(4). -95 Let a(i) = -i + 1. Calculate a(-8). 9 Let o(n) = -57*n + 74. Determine o(1). 17 Let l(h) = h**3 + 10*h**2 + 9*h - 2. Calculate l(-9). -2 Let y(p) = 2*p**3 - 14*p**2 - 6*p - 39. What is y(8)? 41 Let y(p) = -2*p**3 + 17*p**2 - 18*p - 15. Calculate y(7). 6 Let o(f) = 2*f + 6. What is o(0)? 6 Let z(l) = 3*l**3 + l**2 - 1. Give z(2). 27 Let u(i) = i**2 + 12*i - 56. Determine u(-16). 8 Let a(o) = -o**3 + 5*o**2 - 2*o + 1. What is a(3)? 13 Let c(m) = -m**2 + 51*m - 113. Determine c(49). -15 Let x(r) = r**2 + 12*r - 27. Calculate x(-12). -27 Let a(g) = -g**2 + 13*g - 40. Determine a(6). 2 Let d(b) = 2*b - 25. Calculate d(6). -13 Let x(f) = -f**2 + 12*f + 7. Give x(11). 18 Let r(i) = 9*i**2 + i + 1. Give r(-1). 9 Let f(h) = h**2 - 6*h - 8. What is f(8)? 8 Let w(r) = r. Determine w(8). 8 Let c(l) = 13*l - 31. What is c(3)? 8 Let p(r) = 2*r + 62. Give p(-27). 8 Let c(o) = 2*o - 6. What is c(7)? 8 Let y(p) = p**3 - 4*p**2 - 17*p + 14. Calculate y(6). -16 Let p(h) = h**2 - 7*h - 1. Calculate p(8). 7 Let i(f) = f + 21. Calculate i(-16). 5 Let i(p) = 6*p**2 - p - 4. What is i(-2)? 22 Let a(q) = 3*q**3 - 7*q**2 - 3*q + 6. Give a(3). 15 Let g(o) = -o**3 + 5*o**2 - 8*o - 8. Calcul
{ "pile_set_name": "DM Mathematics" }
at is ((-4)/6)/(52/12)? -2/13 What is the value of (11/((-121)/(-88)))/(10*1)? 4/5 (15/5)/(-63)*9/(-1) 3/7 Evaluate ((-10)/45*21)/(2/3). -7 What is the value of ((-8)/(-14))/(4/14)? 2 What is 3/(-1)*(833/(-105))/17? 7/5 (-10)/(-15)*45/(-50) -3/5 Evaluate (-14)/63*(-27)/21. 2/7 What is the value of 21/63*(-45)/6*-1? 5/2 What is (-5)/60*-6*-2? -1 What is the value of ((-5)/(-490)*7)/((-6)/(-7))? 1/12 Evaluate (6*(9/4)/9)/(-12). -1/8 What is the value of (6/(-5))/3*(-30)/(-6)? -2 What is (-1)/((4/(-1))/(-4))? -1 What is the value of (-1)/(-3)*(-3)/(-1)? 1 What is the value of ((-27)/(-378))/(1*2/8)? 2/7 Calculate 6*8/600*-5. -2/5 What is the value of 3/(-1)*24/18? -4 What is (-4)/(20/5)*5/2? -5/2 What is -2*(1/(-2))/((-3)/6)? -2 What is the value of 21*(-4)/(-72)*9/42? 1/4 What is (-12)/(-2)*3/((-36)/3)? -3/2 What is 21/(19/(76/(-12)))? -7 Evaluate (-20)/75*-3*2/(-2). -4/5 Evaluate (-5)/(-2)*16/10. 4 What is the value of (-18)/(-20)*(-425)/510? -3/4 Calculate (-21)/(-2)*(-6)/(-90)*-10. -7 What is ((-46)/1771)/((-1)/11)? 2/7 Evaluate (-25)/(30/6)*(-3)/(-5). -3 Evaluate -1*(-6)/(-15)*9/6. -3/5 What is ((-12)/26)/((-28)/182)? 3 (-42)/70*(-4)/(-6) -2/5 Calculate (-3)/(-4)*(-3)/9. -1/4 What is 6/(16/(16/2))? 3 What is (-18)/9*6/(-4)? 3 ((-6)/2)/((-405)/30) 2/9 What is the value of (18/8*1)/(255/(-680))? -6 Calculate ((-126)/12)/(-7)*4/(-21). -2/7 Evaluate 1*(-4)/(-12)*3/(-10). -1/10 Calculate ((-5)/(-25))/((15/(-6))/(-5)). 2/5 Calculate ((-6)/(-9))/((-1)/(-6)). 4 ((-14)/7)/((-6)/15) 5 What is the value of ((-144)/32)/(7/14)? -9 What is 1/(3/15)*1/(-1)? -5 Calculate (-1)/(2/(2*-5)). 5 Calculate ((-8)/(-14))/(6534/847). 2/27 Evaluate (66/(-55))/((-2)/(-5)). -3 Evaluate (4/30)/(8/(-48*1)). -4/5 What is (-15)/(-2)*41/820? 3/8 What is ((-12)/180)/(4/(-6))? 1/10 Calculate ((-16)/(-52))/((-2)/(-3)*3). 2/13 What is 0/2*3/6*-2? 0 What is (12/10)/(4/10)? 3 ((-3)/10)/(408/340) -1/4 4*(3/22)/((-6)/2) -2/11 Calculate 2/(-28)*7*(-4)/8. 1/4 Evaluate -35*-8*(-7)/(-392). 5 Evaluate (45/(-8))/5*64/48. -3/2 What is 9/3*17/(-51)? -1 What is 55/(-33)*1*2/15? -2/9 What is (130/(-182))/(1/(-7))? 5 Calculate (10/(-108))/((-2)/(24/15)). 2/27 ((-35)/21)/(6/(-3)) 5/6 (3/2)/(-1*(-33)/(-4)) -2/11 What is (390/(-117))/((-5)/(-12)*-2)? 4 What is (-40)/(-420)*(-9)/(-6)? 1/7 ((-260)/2275)/((-1)/(-5)) -4/7 Evaluate (-45)/18*(-8)/5. 4 (-9)/((-252)/16)*3/3 4/7 Evaluate (4/10*-6)/((-39)/(-130)). -8 Evaluate (((-28)/(-8))/(-7))/(1/8). -4 ((-18)/(-15))/((-22)/(-55)) 3 Evaluate (-8)/(-5)*285/114. 4 Calculate (-4)/(-30)*11/((-121)/33). -2/5 (-4*-4*4/160)/2 1/5 Evaluate ((0/4)/(-5))/(4/(-2)). 0 69/230*4/6 1/5 Calculate -3*20/(-12)*6/10. 3 What is (12/(-216))/((-2)/4)? 1/9 What is (5*(-6)/(-45))/(-6)*-3? 1/3 Evaluate (-2)/(-4)*(-20)/(100/(-10)). 1 What is (-4)/(-48)*-3*(-8)/15? 2/15 What is ((-6)/(-20))/((-27)/(-90)*4)? 1/4 Calculate (12/(-4))/((36/8)/3). -2 What is the value of (48/(-36))/((2/3)/2)? -4 What is (-1)/(2/(-2))*1? 1 What is (112/(-14))/(((-4)/4)/1)? 8 Calculate 9/(-9)*-1*-7. -7 What is the value of 5/((-50)/6)*5? -3 ((32/(-42))/(-4))/((-28)/42) -2/7 Calculate -2*12/2*(-5)/10. 6 What is (9/12)/((-5)/4)? -3/5 Calculate (2/2)/((-52)/(-8)*1). 2/13 Evaluate (-4)/(-2)*4/24*0. 0 What is (14/(-21))/(-1)*3/(-2)? -1 ((-10)/25)/(117/65) -2/9 (18/1296*12)/(1/(-9)) -3/2 What is the value of ((24/(-4))/(-18))/(1/15)? 5 What is the value of (0/(64/8))/(3*1)? 0 18/(-180)*2*(-10)/(-4) -1/2 What is the value of ((-2)/5)/((729/30)/27)? -4/9 What is (-3)/(-15)*(-100)/(-50)? 2/5 What is the value of 6*35/(-42)*(-4)/50? 2/5 Evaluate ((-28)/21)/(8/(-12)). 2 Calculate 1*(0*1/(-2))/2. 0 Evaluate 10*6/75*60/8. 6 What is the value of (135/(-15))/(3/2)? -6 Evaluate 3/((-15)/1)*-3*5. 3 Calculate (3/5)/((-3)/15). -3 What is ((-13)/(-65))/(2/15)? 3/2 What is the value of (((-12)/50)/1)/(1/(-5))? 6/5 Calculate ((-9)/(-2))/((-31)/(-62)). 9 What is the value of (29/((-725)/20))/2? -2/5 What is the value of ((-1)/(4/6))/((-135)/(-72))? -4/5 11/(-231)*-7*(-3)/2 -1/2 What is 2*(9/54)/(1/(-3))? -1 Calculate (8/(-6))/((-176)/(-396)). -3 What is (175/10)/(-7)*2/(-5)? 1 What is 4/(-2)*5/20*-2? 1 (1/5)/((-64)/(-240)) 3/4 What is the value of (6/(-9)*4)/(6/(-9))? 4 What is (2/10)/(1736/3720)? 3/7 (-8)/(-6)*6/(-8)*-2 2 1*1/(-2)*17/(-68) 1/8 Calculate (-5)/5*12/48. -1/4 What is ((130/15)/26)/(2/54)? 9 Calculate (5/(-15))/(27/324). -4 ((-2)/10*-6)/((-195)/(-650)) 4 ((-4)/(-102))/(4/(-12)) -2/17 What is ((-2)/(-27))/((-6)/9)? -1/9 What is the value of (3/(-9))/(16/12)? -1/4 Calculate ((-6)/16)/((90/(-4))/15). 1/4 26/(-13)*-3*(-6)/(-9) 4 Calculate (10/70*-7)/((-1)/(-2)). -2 What is the value of (-14)/(-168)*3/(-6)*6? -1/4 What is the value of ((-1)/(-1))/(((-98)/(-21))/14)? 3 1/2*200/(-60) -5/3 What is the value of 3*(-1)/2*2? -3 What is the value of 11/((-44)/4)*2/18? -1/9 What is 4/(-42)*3/1? -2/7 What is the value of (-4)/2*((-16)/(-4))/(-2)? 4 What is the value of ((-2)/5*-1)/((-3)/15)? -2 Calculate (16/(-40))/(-1*(-2)/(-20)). 4 (14*29/(-1624))/(1/(-4)) 1 Calculate (5/(-25))/((-1)/(-1)). -1/5 (36/(-108))/(2/6) -1 What is (-48)/(-36)*2*3/44? 2/11 What is the value of (1*-1)/((21/(-7))/3)? 1 Calculate (4/(24/(-3)))/(2/(-4)). 1 What is the value of (2*9/12)/9? 1/6 Calculate 6/16*5/(105/14). 1/4 30/225*3/(-2) -1/5 What is 5/((-75)/18)*(-20)/(-8)? -3 1*(2/(-4))/((-24)/240) 5 What is (27/3)/81*2*-12? -8/3 (-2*1)/((-76)/19)*3 3/2 Evaluate (-6*(-3)/12)/(10/(-20)). -3 (-2)/(-16)*4*-2 -1 Calculate ((-2)/4*-5)/(4/8). 5 -5*(12/(-5))/6 2 Evaluate 0/((6/2)/((-24)/32)). 0 What is 1*-8*9/900? -2/25 What is 150/10*3/9? 5 What is ((-2)/(-2))/((-9)/(-45))? 5 Calculate 2/4*(-48)/(-8). 3 What is the value of 4/4*2*2? 4 What is the value of (30/9*3)/(-2)? -5 What is (2/(-21))/((-17)/51)? 2/7 Calculate ((-6)/(-56))/((-108)/126). -1/8 Evaluate 2/63*3*(-114)/76. -1/7 What is the value of (-15)/(-45)*18/15? 2/5 Calculate 35/(77/11)*3/21. 5/7 What is (16/(-14))/((-4)/14)? 4 Calculate 34/357*(-6)/(-4). 1/7 What is the value of (-45)/(-50)*(-20)/30? -3/5 What is 28/24*(-4)/28? -1/6 What is the value of 14/(-35)*-5*(-3)/(-6)? 1 (2/(-5))/((-4)/30) 3 Evaluate (-32)/(-80)*10/6. 2/3 Evaluate (-1)/(-25)*(-225)/30. -3/10 Calculate (15/(-10))/((-3)/(-4)). -2 4*(-60)/(-32)*(-6)/9 -5 ((-2)/18)/((-5)/5) 1/9 What is the value of 7*8/(-80)*-5*-2? -7 Calculate (7*26/(-546))/(1/(-18)). 6 What is the value of ((-6)/(-12))/((-2)/20)? -5 What is the value of (2/(-1))/6*(-27)/(-3)? -3 Calculate (-70)/75*4/(-28)*6. 4/5 Calculate 2*1*(-3)/2. -3 What is the value of 16/(-3)*(-3)/2*-1? -8 (1/(6/3))/(5/5) 1/2 (-20)/56*(-4)/(-40)*-8 2/7 What is the value of ((-2)/((-6)/(-1)))/(4/(-12))? 1 What is the value of (1/5)/(4*42/120)? 1/7 Calculate (2/(-6))/(-8*5/(-840)). -7 (-5)/(15/6)*24/(-312) 2/13 What is ((-1)/(-3))/(((-782)/(-69))/(-34))? -1 Evaluate (-72)/(-210)*119/34. 6/5 Calculate ((-18)/24*2)/((-42)/8). 2/7 Calculate (2/1)/(9/(27/16)). 3/8 Evaluate 18/(-2)*(-5)/15*1. 3 What is the value of ((-44)/(-539))/(2/(-7))? -2/7 1/((3/2)/(3/(-1))) -2 What is the value of 6/(-15)*(-205)/574? 1/7 What is (1/1)/((-3)/84*-7)? 4 Calculate ((-4)/2)/((-2)/4). 4 What is (24/648)/((-2)/(-12))? 2/9 What is the value of (3/(-2))/(3243/188)? -2/23 ((-88)/99)/(2/27*-3) 4 Evaluate (-2)/(2*(-3)/(12/(-10))). -2/5 What is (-10)/(-3)*(-6)/(-16)? 5/4 1/(2/((12/4)/(-6))) -1/4 Calculate (63/36)/((-5)/(-20)). 7 Calculate (-11)/(-11)*-2*2. -4 Calculate -24*(-11)/110*(-10)/(-4). 6 What is the value of 6*52/(-234)*(-18)/(-8)? -3 Evaluate ((-6)/4)/((-27)/(-36)). -2 What is (3/1)/(-9)*216/(-360)? 1/5 Calculate (1/(-3))/(1/(-15)*1). 5 Evaluate (2/20)/((-5)/(-30)). 3/5 Calculate (-6)/5*85/34. -3 Evaluate ((-20)/(-40))/(1/6). 3 Evaluate -5*1/(-4*(-2)/8). -5 18/(-4)*7/((-84)/8) 3 Calculate (4/42)/(13/(156/(-8))). -1/7 Calculate (-72)/(-6)*24/(-32). -9 What is ((-42)/18)/((-35)/15)? 1 Evaluate (48/9)/(-4)*(-120)/80. 2 What is the value of 2/(((-28)/(-12))/(8/(-12)))? -4/7 ((-12)/21*(-14)/12)/1 2/3 What is 1/((-1)/(-1))*(-356)/178? -2 What is (2/12)/((-106)/(-159))? 1/4 4/6*33/121 2/11 What is (((-132)/16)/(-11))/(45/24)? 2/5 What is 5*((-18)/(-15))/(2/1)? 3 What is ((-189)/(-3276))/((-3)/(-8))? 2/13 Evaluate (2/14)/((-5)/(-10)). 2/7 What is ((-4)/(-3))/(28/(-42))? -2 Calculate (-14)/(-7)*2/(12/3). 1 What is t
{ "pile_set_name": "DM Mathematics" }
1)**3/7 Let z be -1 + -1*(-3 - 1). Determine p, given that z*p**2 - 5*p**2 - p + 4*p + p**2 = 0. 0, 3 What is m in -5*m - 3*m**3 + 12*m**2 - 5*m**4 + 8*m**3 - 7*m**2 = 0? -1, 0, 1 Let k(j) be the second derivative of 2*j + 1/24*j**4 + 1/60*j**6 - 1/2*j**2 + 0 + 1/4*j**3 - 3/40*j**5. Find g such that k(g) = 0. -1, 1, 2 Determine c, given that -73*c**4 - 40*c + 26*c**3 + 68*c**2 - 16 + 7*c**5 + 21*c**4 + 7*c**5 = 0. -1, -2/7, 1, 2 Find z, given that -2/9*z**2 + 0 - 2/9*z = 0. -1, 0 Suppose -2/7*o**4 + 0 - 6/7*o**3 - 6/7*o**2 - 2/7*o = 0. Calculate o. -1, 0 Let l(q) be the first derivative of -2*q**6/9 + 8*q**5/15 - 8*q**3/9 + 2*q**2/3 - 18. Determine j so that l(j) = 0. -1, 0, 1 Suppose -10 = -13*z + 29. Determine l, given that 2/7*l**4 - 2/7*l**5 + 0*l + 2/7*l**z - 2/7*l**2 + 0 = 0. -1, 0, 1 Factor 0 - 4/5*s**3 + 0*s + 1/5*s**4 + 4/5*s**2. s**2*(s - 2)**2/5 Suppose 85 = 3*p - 2*f, 0 = 5*p - 8*p + 3*f + 81. Let i = p + -92/3. Determine n so that -1/3*n**3 + 0*n + 0 - i*n**4 + 0*n**2 = 0. -1, 0 Suppose -4*c - 3*y = -21, -4*y - y = c - 1. Let q be (c/(-10))/(2/(-10)). Factor 3*k**3 - 5*k**2 + 0*k**q + k**4 + 8*k**2 + k. k*(k + 1)**3 Let s(n) be the first derivative of -2 + 0*n**2 + 9/20*n**4 + 0*n + 3/25*n**5 + 2/5*n**3. Find q such that s(q) = 0. -2, -1, 0 Let o(c) be the first derivative of 0*c**2 + 1 - 2/3*c**3 + 2/5*c**5 + 0*c**4 + 0*c. Solve o(w) = 0. -1, 0, 1 Let f be (-1)/(18/(-12)) + (-2)/3. Factor 2/3*w**2 - 1/3*w + f - 1/3*w**3. -w*(w - 1)**2/3 Let s(m) be the first derivative of 1 - 4/11*m + 10/33*m**3 - 3/11*m**2. Let s(w) = 0. What is w? -2/5, 1 Let m(k) be the first derivative of 2*k**3/3 - 14*k**2 + 98*k + 10. Solve m(j) = 0. 7 Let m(s) = 2*s**3 + 8*s**2 + 14*s. Let q(i) = -i + 1. Let x = -6 - -5. Let o(u) = x*m(u) - 4*q(u). Factor o(r). -2*(r + 1)**2*(r + 2) Suppose -v + 7 = w, -3*v + 8*v = 2*w + 7. Suppose -5*q = -w*q. Let q + 1/4*a - 1/4*a**2 = 0. Calculate a. 0, 1 Let q(t) be the first derivative of t**4/8 + t**3/18 - 10. Factor q(a). a**2*(3*a + 1)/6 Let k(s) = s**2 - 14*s + 16. Let l be k(13). Factor -4*t**l + 0 - 8/3*t**4 - 2/3*t**5 - 2/3*t - 8/3*t**2. -2*t*(t + 1)**4/3 Determine c so that 3/7*c**2 - 3/7*c**4 + 0 - 9/7*c**3 + 6/7*c + 3/7*c**5 = 0. -1, 0, 1, 2 Let c(g) be the first derivative of -g**6/12 + 2*g**5/5 - 3*g**4/4 + 2*g**3/3 - g**2/4 - 8. Let c(k) = 0. What is k? 0, 1 Let g(r) = -6 + 2*r**3 + 7 - 2*r**3 - r**3. Let a(y) = -y**5 - 3*y**4 + y**3 - y**2 - 4. Let i(q) = -a(q) - 4*g(q). Factor i(w). w**2*(w + 1)**3 Factor 2 + 25*f**3 - 3 + 3*f - 3*f**2 - 24*f**3. (f - 1)**3 Let i(z) be the third derivative of -5/108*z**4 + 0*z - 2/27*z**3 + 2*z**2 - 2/135*z**5 - 1/540*z**6 + 0. Suppose i(d) = 0. What is d? -2, -1 Factor 3*u**3 + u**2 - 4*u**2 + 12*u**3 - 9*u**4 - 3*u. -3*u*(u - 1)**2*(3*u + 1) Suppose 0 = 3*h - x + 37, 0 = 2*h - 5*h + 2*x - 41. Let i(n) = n**2 + 11*n + 2. Let w be i(h). Solve 0*r + 6/11*r**w - 2/11*r**3 - 8/11 = 0 for r. -1, 2 Let d(w) be the third derivative of w**7/2520 - w**6/360 + w**5/120 + w**4/6 - 3*w**2. Let t(u) be the second derivative of d(u). Let t(f) = 0. Calculate f. 1 Let k = 52/3 - 50/3. Find b such that 0*b**2 + 0*b**4 - 2/3*b**5 + 0 + 4/3*b**3 - k*b = 0. -1, 0, 1 Let g(k) be the third derivative of 1/40*k**6 + 0*k + 1/672*k**8 - 2*k**2 + 1/48*k**4 - 1/105*k**7 + 0 - 1/30*k**5 + 0*k**3. Factor g(s). s*(s - 1)**4/2 Let s(w) be the second derivative of -1/6*w**3 - 1/4*w**2 + 0 - 4*w - 1/24*w**4. Factor s(q). -(q + 1)**2/2 Let m(w) be the second derivative of -w**7/1260 - w**6/540 - w**3/6 - w. Let c(q) be the second derivative of m(q). Solve c(r) = 0. -1, 0 Let i(r) be the first derivative of -r**6/36 + r**4/12 - r**2/12 - 5. Factor i(v). -v*(v - 1)**2*(v + 1)**2/6 Factor -8/5*u - 16/5*u**2 + 6/5*u**3 + 18/5*u**4 + 0. 2*u*(u - 1)*(3*u + 2)**2/5 Let d be 1 - 18/10 - 174/(-216). Let h(c) be the third derivative of 0*c - 2*c**2 + 0 + d*c**5 + 1/36*c**4 + 1/18*c**3. Find n, given that h(n) = 0. -1 Let l = 8 + -8. Suppose -y + 3 = 3*b - 7, -3*y + 12 = l. Let 0 + 0*t + 1/3*t**4 + 1/3*t**b - 2/3*t**3 = 0. What is t? 0, 1 Let m be (2/(-7)*1)/((-17)/238). Let y(r) be the third derivative of 5/96*r**m + 0 - 1/12*r**3 - 2*r**2 - 1/60*r**5 + 1/480*r**6 + 0*r. Factor y(s). (s - 2)*(s - 1)**2/4 Let l(x) be the third derivative of x**7/1995 + x**6/114 + 11*x**5/190 + 10*x**4/57 + 16*x**3/57 - 6*x**2. Solve l(d) = 0. -4, -1 Let z(t) be the second derivative of -3*t**5/20 - t**4 + 5*t**3/2 - 40*t. Factor z(r). -3*r*(r - 1)*(r + 5) Let o(w) = 5*w**3 + 4*w**2 - 3*w - 2. Let n(c) = -6*c**3 - 5*c**2 + 3*c + 3. Let f(g) = 4*n(g) + 5*o(g). Factor f(l). (l - 1)**2*(l + 2) Suppose 5*t + 17 = 3*y, -23*t + 22*t - 9 = -2*y. Find w such that w**y - 4/3*w + 0 + 11/3*w**3 + 8/3*w**2 = 0. -2, 0, 1/3 Let w = -1 + 19/4. Factor -3*m**2 - w*m**4 + 0*m + 9*m**3 + 0. -3*m**2*(m - 2)*(5*m - 2)/4 Suppose -5*t = -5 - 5. Let m(b) be the second derivative of -1/30*b**6 + 0*b**4 + 1/84*b**7 - b + 0*b**t + 0*b**3 + 0 + 1/40*b**5. Suppose m(w) = 0. What is w? 0, 1 Suppose -3*l - 6 = 3*o, -1 = -5*o - 3*l - 3. Suppose 4*u**2 + o*u**3 + u**2 - 5*u**2 - 2*u = 0. What is u? -1, 0, 1 Let v = 10 - 12. Let b be (3 - 5)/(v - 4). Factor 0 + 1/3*m**5 + b*m**4 + 0*m + 0*m**2 + 0*m**3. m**4*(m + 1)/3 Let i = -45 - -48. Let x = 97/4 + -24. Factor -1/4*p + 1/4*p**i + x - 1/4*p**2. (p - 1)**2*(p + 1)/4 Suppose -4*h - 16 = 0, 2*h - 24 = -3*j + j. Let z(p) = p + 10. Let a be z(9). Factor j*r + 6 + a*r**3 - 1 - 1 + 25*r**2 + 7*r**4 + r**5. (r + 1)**3*(r + 2)**2 Suppose 4*d = 8*d - 12. Let n(a) be the third derivative of 0*a + 1/30*a**5 + 0 + 1/12*a**4 - a**2 - 2/3*a**d. Determine g so that n(g) = 0. -2, 1 Let h(c) be the third derivative of c**7/3150 - c**6/300 + c**5/75 + c**4/24 - 6*c**2. Let f(q) be the second derivative of h(q). Find o, given that f(o) = 0. 1, 2 Let o(r) be the third derivative of 17*r**6/120 + r**5/60 - 3*r**3/2 - 2*r**2. Let n(c) = 4*c**3 - 2. Let d(a) = 9*n(a) - 2*o(a). Find x, given that d(x) = 0. 0, 1 Suppose 3*b = 3*p, -3*p - p - 2*b = 0. Let i = -7 - -7. Factor i*a**3 - 1/5*a**2 + 1/5*a**4 + 0*a + p. a**2*(a - 1)*(a + 1)/5 Let v = 6 - 4. Let z(y) be the third derivative of 0*y**4 + 0*y - 1/360*y**6 - 1/1008*y**8 + 0*y**3 + 2*y**v - 1/315*y**7 + 0 + 0*y**5. Factor z(d). -d**3*(d + 1)**2/3 Let m(b) = 4*b**3 + 9*b**2 - 3*b + 17. Let i(l) = -l**3 - 2*l**2 + l - 4. Let d(c) = 9*i(c) + 2*m(c). Factor d(t). -(t - 1)**2*(t + 2) Suppose 0 = 3*b + 125 - 131. Factor -2/5*x**b - 4/5 + 6/5*x. -2*(x - 2)*(x - 1)/5 Let d(y) = -y + 9. Let v = 11 - 5. Let i be d(v). Determine q so that q**3 - 3*q**4 + q**3 + 3*q**2 - 4*q**i + 3*q - q**3 = 0. -1, 0, 1 Factor -1/3*p + 0 + 1/3*p**2. p*(p - 1)/3 Suppose 2*f = 13 + 13. Let j = -38/3 + f. Factor -j*v + 0*v**3 + 0 - 3/2*v**2 + 9/2*v**4. v*(3*v - 2)*(3*v + 1)**2/6 Let -25*j**3 + 72*j + 7*j**3 - 185*j**2 + 182*j**2 - 3*j**4 - 48 = 0. Calculate j. -4, 1 Let t(g) be the first derivative of -g**3/2 - 9*g**2/2 - 27*g/2 - 3. Factor t(v). -3*(v + 3)**2/2 Let z(i) be the second derivative of i**7/840 + i**6/360 - i**3/6 - 4*i. Let b(d) be the second derivative of z(d). Solve b(y) = 0 for y. -1, 0 Let d be -27 + 0 + 6/(-6). Let y be (d/63)/(2/(-3)). Solve y*m - 1/3 - 1/3*m**2 = 0. 1 Let i(q) be the third derivative of -1/10*q**5 - 3/20*q**6 + 0*q + 4/3*q**3 + 2/3*q**4 + 2*q**2 + 0. Let i(k) = 0. What is k? -2/3, 1 Factor -4 - 8/3*k - 4/9*k**2. -4*(k + 3)**2/9 Suppose m + 6 = 2*m. Suppose 3*a = 5*a - m. Factor -d**2 + a*d**4 - 4*d**2 + 2*d**2. 3*d**2*(d - 1)*(d + 1) Let i(z) be the third derivative of -1/1512*z**8 + 0 + 0*z**7 + 0*z**6 + 0*z**4 - z**2 + 0*z + 0*z**3 + 0*z**5. Determine h, given that i(h) = 0. 0 Factor -1/2 - 1/2*l**2 - l**3 + l**4 - 1/4*l**5 + 5/4*l. -(l - 2)*(l - 1)**3*(l + 1)/4 Let m(z) be the first derivative of z**4/18 - z**2/3 - z + 1. Let o(n) be the first derivative of m(n). Find h, given that o(h) = 0. -1, 1 Let z(w) be the second derivative of -w**6/30 + w**5/4 - 3*w**4/4 + 7*w**3/6 - w**2 + 15*w. Factor z(s). -(s - 2)*(s - 1)**3 Let a be (12/1395)/((-21)/(-2124)). Let g = -2/155 + a. Suppose -g*i**2 + 2/7*i + 0 = 0. What is i? 0, 1/3 Suppose 0 = -2*x - 4*p + 10, -4*x + 27 = -2*p - 3. Suppose -4*f - 9 = -x*f. Find c such that 2/3*c**2 + 2/3*c**f + 0*c + 0 = 0. -1, 0 Suppose -6/
{ "pile_set_name": "DM Mathematics" }
) = -s**2 - 7*s + 109. Let a(u) = 2*j(u) - 7*w(u). Let y be a(-16). Solve 6*g = 11*g - y for g. 1 Suppose 0 = 2*p - 3*a + 3, p + 2*a - 10 = -1. Suppose -4 = -2*q - t, q = -3*q + p*t + 28. Solve -10 = -q*s - 2 for s. 2 Suppose 22*d - 346 = 24*d. Let k = d - -180. Solve 2*i - k*i - 25 = 0 for i. -5 Suppose 2*o - m = 15, 58*o + 38 = 63*o - 3*m. Solve -o + 55 = 16*p for p. 3 Let b be (-2 + 2)*(-1)/2. Let o = 73639 + -73626. Solve b = o*w + 21 + 5 for w. -2 Suppose 0 = -2*f - 5*p + 258, 171*f - 167*f - 450 = p. Solve 0 = -8*x - 11*x - f for x. -6 Suppose -2*p + 317 = 103. Let t = p - 33. Let b = -59 + t. Solve b = 5*n - 0*n for n. 3 Let f be (4 - 5)/((-21)/714). Solve 0 = -4*h + f*h for h. 0 Suppose 1029 - 243 = 94*h - 2034. Solve h*v = 103 - 193 for v. -3 Let z(b) = b**2 - 3*b - 5. Let w be z(-3). Suppose -17*q = -w*q - 4. Suppose -4*i - 3 = -2*k - 5, -q = k. Solve 0*c + c - 3 = i for c. 3 Let i = -3935 - -3993. Solve -i*t + 52*t - 6 = 0 for t. -1 Suppose 10383 - 48183 = -387*o + 360*o. Solve -o = 15*q - 1430 for q. 2 Let s = -16773 - -16782. Solve 0 = -39*q + 147 + s for q. 4 Suppose -84*m + 7820 = 86*m. Solve -31*v - m = 47 for v. -3 Let s(m) = -7*m - 5. Suppose 2*k - 3*q = -25, -3*k + 0*q = 2*q + 5. Let a be s(k). Suppose 0 = 46*x - 41*x - a. Solve 4*b - b = x for b. 2 Let b(z) be the third derivative of z**6/120 + 5*z**5/12 + 5*z**3/6 + 18*z**2. Let l be b(-25). Suppose 2*u - 19 + 7 = 0. Solve -l*j + u = -19 for j. 5 Let b(t) = -6*t + 63. Let r be b(10). Let s be r/(3 - (-288)/(-102)). Solve -s = -5*x - 2 for x. 3 Let j(t) = -4*t**3 + 35*t**2 - 21*t - 20. Let h be j(8). Solve 15*k - h*k = -2*k for k. 0 Let l be 13/1 + 5/(30/(-18)). Let b be ((-1)/(-4))/(2/24). Suppose b*d = l - 4. Solve -a - 3 = -d*a for a. 3 Suppose z + 4*y - 47 = -2*z, -2*z + y + 24 = 0. Let b = z + -11. Suppose -16 = -9*g + b. Solve 2*a = 3*a + g for a. -2 Let o(r) = r**3 - 86*r**2 + 175*r - 470. Let k be o(84). Solve 9*s - k = -181 for s. -7 Let y(v) = 3*v**2 + 95*v + 760. Let d be y(-15). Solve 18*h - d*h + 16 = 0 for h. -2 Suppose 24*d = -31*d - 73*d. Suppose -4 = -2*g - 3*s + 22, 4*g + 2*s = 36. Let l(j) = j + 1. Let z be l(1). Solve -g*h + z*h = d for h. 0 Let k be (7/1 + (11 - 18))/(2 + -3). Solve k = 18*p + 4*p - 66 for p. 3 Suppose -3*k - 3 = 3*f, 5*k = -2*f - 0 - 11. Solve -60 = 14*p - f*p for p. -5 Let y(p) = -20*p**2 + 1065*p - 50. Let z be y(53). Solve 0 = -10*o + 295 - z for o. 8 Suppose -4*z = -6*z + 42. Solve z = -33*m + 21 for m. 0 Suppose 0 = -5*u - 4*v + 95, 36 = 3*u + v - 14. Solve -7*j = -u*j - 16 for j. -2 Let z = -4972 + 4979. Solve -15 + z = 2*m for m. -4 Let u be (-164)/(-10) - (1/((-35)/231) - -6). Solve -12 = 29*q + u for q. -1 Let h(f) = -2*f + 29. Let m(l) = 9*l - 41. Let n be m(6). Let y be h(n). Suppose 9 = s + 2*a, s = -y*s + a + 36. Solve -1 = 5*b + s for b. -2 Suppose 100 = 3*f - 52 + 41. Solve -f = -18*z - 1 for z. 2 Let w(q) = 12*q - 8. Let p be w(3). Let g = -34 + p. Let l be 2 + -1 + 18/g + 36. Solve 4*o = 14 - l for o. -5 Let j be ((-5)/(-35))/((-70)/(-1470)). Solve -5*h - j - 17 = 0 for h. -4 Suppose -5*b - 114 = -5*f + 2*f, 3*f = b + 114. Let o = f - 13. Suppose -g + o = 22. Solve -21 + 6 = g*l for l. -5 Let j = -80 + 3. Let c = j + 54. Let h = c - -25. Solve h = -p - 1 for p. -3 Let b(q) = 6*q**3 - 318*q**2 + 3*q + 54. Let u be b(53). Solve 5*r = u - 238 for r. -5 Let z(w) = -w**3 + 13*w**2 + 11*w + 353. Let c be z(15). Solve 82 = -30*k - c for k. -5 Suppose 8 = -3*z - 10. Let u(p) = p + 1. Let m(y) = -8*y - 16. Let h(k) = z*u(k) - m(k). Let r be h(-4). Solve v = r*v for v. 0 Suppose 2*j - y = -273 + 340, 2*y + 100 = 3*j. Solve 105*c = j*c + 71 for c. 1 Suppose -5*h + 85 = -5*c, -2*c + 24 - 28 = 0. Solve 22*o + h*o = -222 for o. -6 Let v be (48/(-64))/(1/4) - -7. Let h(r) = -r**3 + 2*r. Let j be h(-3). Suppose b + j = v*b. Solve b*n = 2*n for n. 0 Let f(g) = g**3 - 2*g**2 - 9*g + 8. Let z(h) = -2 - 2*h - 8 + 12*h + 4*h. Let t be z(1). Let p be f(t). Solve 0*y + y = -p for y. -4 Suppose -26 - 550 = -6*o. Let f = -93 + o. Solve -36 = -f*t + 12*t for t. -4 Let a be 5 + (8 - 11) + 9. Solve -8*b + a*b - 3 = 0 for b. 1 Let h(w) = -w**3 + 2*w**2 - 17*w + 14. Let a be h(6). Let y = 235 + a. Solve i + y = 6 for i. 3 Let p = 13238 + -13151. Solve -51*j + p = -219 for j. 6 Let n(f) = 4*f + 86. Let l = 209 + -226. Let z be n(l). Solve -z = 9*c - 0 for c. -2 Let v(k) = 4*k**2 + 36*k - 17. Let u be v(-18). Let z = 631 - u. Solve z = 31*c - 27*c for c. 0 Let r be ((-12)/18)/((-2)/69). Suppose -26*v = -r*v - 24. Suppose 2*n - 37 = -0*n - 5*c, -v = -3*n + 2*c. Solve 5*h = -21 + n for h. -3 Let k = -14351 - -14382. Solve 0 = k*i - 144 - 42 for i. 6 Suppose g = -4*i + 9*i - 27, i + 3 = 3*g. Let c be 7/3 + 4/i. Let l(y) = -350*y**2 + 2099*y + 7. Let k be l(6). Solve c = w - k for w. 4 Suppose 0 = -3*b - 12, -5*b + 4*b + 4*b = -3*z. Solve -z*h = -95 + 75 for h. 5 Let j = 17165 + -17125. Solve -85 = j*v - 57*v for v. 5 Suppose 3234 = 21*k + 12*k. Solve -k + 80 = 6*y for y. -3 Let t(h) = -h**2 - 3*h + 239. Let v be t(13). Solve v*l = -87 - 37 for l. -4 Let g be (-2 + 3)*5 - 2. Let m = -68167 + 68169. Solve -5*v + g*v + m = 0 for v. 1 Suppose -21*c - 58 = -20*c. Let j = c - -63. Suppose 7*g = -j*g. Solve 5*k + g*k + 10 = 0 for k. -2 Let d be (-1)/(-3) - 13/39. Suppose d = -2*u + y + 13, 5*u - 10*u + 29 = y. Let k be (-2)/(-1 + 1 + -1). Solve -2 = k*c - u for c. 2 Let u(q) = -q**2 + 13*q + 14. Let a be u(14). Let b be -4 - -3 - (a - 6). Solve -2 = x - b for x. 3 Let v = -18 + 18. Let m(z) = 3*z**2 + 4*z + 2 + 3 + 3 - 4*z**2. Let o be m(v). Solve -o = 3*r - 5 for r. -1 Suppose -11877 = 3*j - 11907. Solve -20 = -j*g + 15*g for g. -4 Let v(c) = c**3 - 5*c**2 + 5*c + 1. Let u be v(4). Let r be (-3)/((-9)/39) + (-6)/(-1 - (-20)/12). Solve 0 = u*m - r - 16 for m. 4 Let z(b) = 5*b**3 + 6*b**2 - 20*b + 20. Let c be z(2). Solve -c*q - 104 = -31*q for q. -8 Let n be 8/(-4) + (-63 - -5). Let h be (-6)/(-21) - n/(-14). Let r be (h - (-36)/8)*10. Solve 21 = -r*x + 1 for x. -4 Let s = 3 - 0. Let j be ((-3)/2)/1*126/(-21). Let v be j/4*(-80)/(-30). Solve -b + s*b = v for b. 3 Let t = 24485 - 24476. Solve -t*s - 6049 = -5968 for s. -9 Suppose k = 3*r + r - 41, -45 = -5*r - 5*k. Let f be r/6 - (-1)/3. Solve s = -s - f for s. -1 Suppose 419*y - 434*y = -2310. Solve 165*s + 11 = y*s for s. -1 Suppose 5*n - 6*n = -66. Let p be (-44)/n*(0 - -1 - 4). Let a be p/(10/25) - 0. Solve 2*u + a = u for u. -5 Suppose 5*l = -5*d + 345, 47*l = 51*l - 2*d - 306. Solve 81*a = l*a + 14 for a. 2 Let q be 28 + 4 - -3*1*(-455)/195. Solve 18*m = -133 + q for m. -6 Suppose 2*d = 6*d - 235 - 105. Solve -d*j = -94*j - 72 for j. -8 Let x = 231 - 231. Suppose -2*q + 10 = -3*k + 2, x = -3*q - 3*k + 12. Solve -j + 12 = -q*j for j. -4 Let s = 192 + -174. Suppose -2*d - 13 - 5 = -5*j, -j + 4*d = -s. Let z(u) = -u - 1. Let m be z(-1). Solve j*q + m = -4 for q. -2 Suppose 6*g - 147 = -g. Suppose -g*r + 22*r = 3. Suppose -3*j = -r*f, -3*j - 4*f + 24 = f. Solve 0 = -4*v + j*v + 2 for v. 2 Suppose -48*b + 740 = -11*b. Solve b*k = 3*k + 34 for k. 2 Let u = -31 + 44. Let b(v) = -2*v**3 + 201*v**2 + 728*v + 12. Let y be b(104). Solve -y*a = -u*a - 2 for a. -2 Let r(w) = 43*w - 4048. Let n be r(95). Solve -39*l + n*l = -12 for l. 6 Let p(b) = -4*b + 22. Let m be p(5). Suppose m*o + 10 = 4. Let y(c) = 3*c**2 + 8*c - 1. Let h be y(o). Solve h*v = -2 - 0 for v. -1 Let i(v) = -7*v + 25. Let y be i(12). Let z = y - -63. Let g = 57 - 52. Solve 0 = -z*u - 15 - g for u. -5 Let t be 1*(-7)/((-14)/6). Suppose -190 = 11*z + 404. Let v be 18*(-6)/z*t. Solve 0 = -4*k + 2 - v for k. -1 Let o = 438 + -438. Suppose 3*a - 3*d = -5*d + 24, -4*d = 0. Suppose 4*x = 5*x - a. Solve -4*n = -o*n - x for n. 2 Suppose -10 = -6*w - 4. Let g be (-2 - w)*(-34)/6. Let s = 23 - g. Solve -s = 4*x + 6 for x. -3 Let y(m) = 379*m - 7461. Let g be y(28). Solve 0 = g*c - 3152*c + 3 for c. 3 Let k be (-4 - (-95)/30) + (-808)/(-48). Suppose 3*r = 2*j + 13, 4 = -r + 4*j + 5. Solve 36 = r*f + k for f. 4 Let k = 1 - 1. Suppose -36 + 26 = -2*w. Suppose -w*q - 10 = -15*q. Solve s - q = -k for s. 1 Let z = 52 - 47. Suppose 0 = -2*i + 8, -5*h + z*i = -4*h - 41. Solve 0 = -h*d + 57*d + 20 for d. 5 Let u(f) = f**2 - 20. Let b be u(-5). Suppose 5*d - 2*i +
{ "pile_set_name": "DM Mathematics" }
d 1.95? 0.39 2.2 times -0.2 -0.44 1087 times 0.2 217.4 Work out -5 * -0.0819. 0.4095 Product of 331 and -5. -1655 Product of -0.029 and 53.8. -1.5602 Product of -0.05 and -155. 7.75 What is 375 times -0.04? -15 What is the product of -14 and -0.8? 11.2 Product of 81 and -0.3. -24.3 Calculate -0.4*-1419. 567.6 Work out -21876 * 1. -21876 Multiply 100 and -0.5. -50 0.07 * -0.028 -0.00196 Product of 5 and 556. 2780 Multiply 0.5 and 7.1. 3.55 Calculate 0.2*1908. 381.6 Calculate -23*-49. 1127 Calculate -4895*-0.3. 1468.5 Multiply -12 and 3.5. -42 0.4597*-0.3 -0.13791 Product of -11296 and 2. -22592 Product of -667 and 0.2. -133.4 -3 * 0.058 -0.174 What is the product of -4.9 and 1.7? -8.33 Calculate 0.3*-31.8. -9.54 -0.1 * 6 -0.6 What is 226 times -0.7? -158.2 What is 8 times -3.6? -28.8 What is the product of -8056 and -0.2? 1611.2 Product of -0.9 and 0.41. -0.369 201 times 3.6 723.6 Product of 163.9 and 2. 327.8 Multiply -13.5 and 0. 0 3 * -1762 -5286 Multiply -565 and -0.4. 226 5 * -88 -440 What is the product of 363 and -0.5? -181.5 Work out -1 * -16.6. 16.6 Product of 0.8 and 0. 0 Calculate 3*4.99. 14.97 What is -0.1 times -4.153? 0.4153 -3.7029 * 3 -11.1087 Work out 1 * -139.8. -139.8 -67 times -0.2 13.4 1.4 times -1 -1.4 What is the product of 3 and 0.19? 0.57 Product of 0.4 and -0.54. -0.216 What is the product of -0.01427 and 0? 0 Multiply 0.12543 and 0.4. 0.050172 -0.3 times 0.038 -0.0114 Work out 10 * -0.1752. -1.752 0.4 times 0.0033 0.00132 470 * 0.4 188 -4 * -308 1232 -0.17*11 -1.87 Calculate 498*2. 996 -4 * -0.926 3.704 Work out 5 * 306. 1530 What is the product of 3 and 3.15? 9.45 Calculate -1.115*0.2. -0.223 9.028 times 0 0 What is -31 times -0.11? 3.41 Work out 0.08 * -0.6. -0.048 Multiply 59 and -2.3. -135.7 0.5*-44 -22 What is the product of 4 and -1.66? -6.64 5 times 5.7 28.5 -0.262 * 2 -0.524 What is -6 times -0.0293? 0.1758 Calculate 3.203*-0.2. -0.6406 6 * -811 -4866 Calculate -2*827. -1654 -0.1 * -84 8.4 3 times -3 -9 What is 0.5 times 0.005? 0.0025 -0.36 * 3 -1.08 0.05*5 0.25 0*32 0 Calculate -7*-1193. 8351 What is 3.03 times 0.2? 0.606 Calculate 3*-45. -135 Calculate -5*96. -480 Multiply -0.5 and -6353. 3176.5 Product of -5 and -0.276. 1.38 -10 * -0.003 0.03 Calculate 3636*0.2. 727.2 97 * 4 388 Work out -43 * -5. 215 Work out -0.36 * -0.6. 0.216 Product of -8424 and -1. 8424 5 * 1.6 8 Calculate 0.5*51. 25.5 What is 21 times -1.2? -25.2 What is the product of 279 and -6? -1674 Multiply -3.48 and -0.1. 0.348 Calculate 425*0. 0 What is the product of -5 and 54? -270 What is the product of -0.02 and 1959? -39.18 Calculate -1*212. -212 62 * -10 -620 Multiply 3 and -420. -1260 -37 * 13.4 -495.8 What is the product of 2258 and -4? -9032 Product of -0.13 and -151. 19.63 Multiply -13 and 0. 0 0.2*-49 -9.8 What is -5 times -1? 5 What is -12.5 times -4? 50 260*18 4680 Product of -0.2 and -0.495. 0.099 -1.1*-0.5 0.55 Work out -0.083 * 21. -1.743 Work out 362 * 22. 7964 What is -58 times -0.03? 1.74 0.3 times -4.6 -1.38 What is the product of -282 and 39? -10998 Calculate -2*2.88. -5.76 Product of -1 and 61. -61 What is 3238 times 0? 0 1*0.909 0.909 Work out 6 * 14. 84 Calculate 0.6*-0.32. -0.192 2*-6.9 -13.8 Product of 1.9 and -0.0854. -0.16226 Work out 0.04 * 2.9. 0.116 What is -0.3 times 0.8? -0.24 2 * 1.6 3.2 389 times 5 1945 Multiply 0.0166 and -0.4. -0.00664 What is -0.4 times 0.015? -0.006 What is the product of 40 and 5? 200 What is the product of -3 and -100? 300 Work out -106 * -44. 4664 -0.67 * 2 -1.34 0.031 times -66 -2.046 What is the product of 230 and 4? 920 -0.1*-0.1223 0.01223 0.3 * -101 -30.3 Multiply 66 and -4. -264 -0.32*0.02 -0.0064 What is 688 times -0.5? -344 -1 times -1 1 What is the product of 502 and 8? 4016 -397 times -4 1588 What is the product of -91.83 and 4? -367.32 Product of 1 and -0.111. -0.111 What is the product of 2 and 0.363? 0.726 21.5 * 10 215 29*-305 -8845 -19 * 1525 -28975 Work out 0.19 * -0.3. -0.057 0.4 times 754 301.6 What is 447 times -4? -1788 Product of -15 and 0.8. -12 5*-1354 -6770 What is the product of -2.1 and 0.02? -0.042 What is -3.3 times -12? 39.6 1.8 times 2 3.6 331 times -2 -662 Product of -269 and -0.03. 8.07 Multiply 232 and 0.66. 153.12 -48 * -1 48 7240*0 0 What is 6832 times 0.6? 4099.2 Work out -0.2 * 68.9. -13.78 What is 47.4 times -3? -142.2 Work out -65 * 0.048. -3.12 1.29 * -4 -5.16 Product of -1.1 and 41. -45.1 What is -0.191 times -18? 3.438 Product of -1.6 and -167.5. 268 Multiply 5 and 10484. 52420 Multiply 0.732 and -0.045. -0.03294 -5*-0.046 0.23 Calculate 512*0.4. 204.8 What is 0.39 times -12? -4.68 What is -5053 times -4? 20212 Product of -181 and 28. -5068 What is -0.07 times 157? -10.99 -2 times 2585 -5170 1*1.443 1.443 Work out 0 * -76. 0 What is -1.733 times 0.3? -0.5199 What is the product of -0.2 and 37.6? -7.52 What is 27 times 2? 54 What is 0.06 times -0.05? -0.003 Product of -202 and -0.23. 46.46 Work out -444 * -0.1. 44.4 7 times -439 -3073 Work out 5 * -43. -215 What is the product of 3.13 and 88? 275.44 Product of 61 and 0.68. 41.48 0.21 * -0.08 -0.0168 Multiply 61 and -10. -610 2 times -15 -30 Calculate 76.71*-1. -76.71 Multiply 1.6 and -4.8. -7.68 Calculate -1431*-1. 1431 3 times 2.305 6.915 Product of 0.2 and 1468. 293.6 -1.1 times 7 -7.7 Calculate 0.0654*-14. -0.9156 -0.011 * -0.02 0.00022 Work out -0.35 * 19. -6.65 Product of 0.4 and -1623. -649.2 Work out -279 * -0.5. 139.5 What is 0.001 times 10? 0.01 Work out -1 * 11.3. -11.3 -826*5 -4130 What is 72 times 1? 72 Product of 0.141 and 0.07. 0.00987 Product of -273 and 1.1. -300.3 What is the product of -20715 and 0.2? -4143 What is 531 times 0.8? 424.8 -0.737*-2.1 1.5477 Multiply 5 and -87. -435 What is -2.77 times -0.1? 0.277 What is -3 times -0.213? 0.639 -983*16 -15728 Calculate -0.38*46. -17.48 What is 6 times -73? -438 169*0.2 33.8 What is 3 times 1770? 5310 Work out 362.3 * -5. -1811.5 1.08 times -22 -23.76 0.4 * -0.07 -0.028 What is -3 times -42? 126 Work out 1552 * -0.5. -776 Multiply 0.3 and -1.067. -0.3201 What is -253 times -1? 253 Work out 37 * 4. 148 Calculate -157*-0.3. 47.1 Multiply 0.08485 and -0.4. -0.03394 Calculate 9*-11.21. -100.89 Product of 2 and -27. -54 Product of -0.1401 and 5. -0.7005 What is 1 times 13.86? 13.86 Calculate -0.4*731. -292.4 Work out -306 * 4. -1224 Calculate -1363*-2. 2726 Multiply -9 and -1. 9 35.9*2 71.8 What is 0.112 times -4? -0.448 0.3355 times -2 -0.671 210*0.1 21 -503*-5 2515 0 * 0.0706 0 11.2 times -5 -56 Work out -1 * -112.1. 112.1 Calculate 2*2655. 5310 -1.579*13 -20.527 Product of 11 and 0.15. 1.65 Calculate -0.03*0.4. -0.012 Calculate 1252*-0.5. -626 Work out 0 * 121. 0 Calculate -140*-0.2. 28 222 times 4 888 What is the product of 1028 and 0.3? 308.4 Multiply -1 and 27. -27 What is the product of 0.092 and -0.2? -0.0184 Work out 266 * 18. 4788 What is -3.8 times -0.038? 0.1444 0 * -356 0 Calculate -118*-0.1. 11.8 Calculate -4*0.5. -2 Work out -0.145 * 0.5. -0.0725 -348 times -0.003 1.044 Product of -17 and 0.3. -5.1 Product of -42.2 and -0.4. 16.88 -1*0.064 -0.064 Calculate -0.1*0.578. -0.0578 Product of 1.39 and -3. -4.17 Multiply -3 and 371. -1113 -3*-329 987 0.3*0.31 0.093 Product of 20 and -1. -20 Product of -0.2 and -7305. 1461 What is the product of -353 and -0.5? 176.5 -107 times -0.6 64.2 What is 3.247 times 0? 0 What is the product of -30.6 and -109? 3335.4 Multiply -0.3 and -92. 27.6 46 * -5 -230 Work out 1 * 386. 386 -1918 times -0.4 767.2 5*250 1250 Work out -0.266 * 0.2. -0.0532 -0.08 * 0.1948 -0.015584 Multiply -2766 and 0.04. -110.64 What is the product of 3 and -1.51? -4.53 -0.719 * 17 -12.223 Work out 1 * 281. 281 -0.1 times 0.003 -0.0003 Work out -813 * 0.5. -406.5 What is 0.05 times -28? -1.4 0.367*-0.5 -0.1835 6*-0.5 -3 What is the product of -46 and 0.4? -18.4 -1.08 * 0.5 -0.54 2 times 0.2293 0.4586 -408 times -0.3 122.4 0.307*0.2 0.0614 What is the product of -5 and 23.8? -119 What is 31 times 0.183? 5.673 Product of -5.5 and -1. 5.5 -0.2 times -1.31 0.262 0*-0.03 0 0.0422 times -4 -0.1688 What is -0.01028 times 0.4? -0.004112 0.5 * -41.3 -20.65 Multiply 2.98 and 0.1. 0.298 Multiply -0.1 and 47. -4.7 -0.1 * 2.673 -0.2673 2836 times -0.01 -28.36 What is the product of 160 and -0.4? -64 0.056*-6 -0.336 What is -810
{ "pile_set_name": "DM Mathematics" }
True Suppose -3*h + 3*h - 5*h = 0. Let j = 238 - 14993/63. Is j < h? False Let o = -1.3702 + 612.3702. Which is smaller: o or 5? 5 Let g = 833/5925 - 9/79. Let x = g - 32/75. Let i = 5.89 - -0.11. Which is smaller: i or x? x Let v = -31262 - -59873/2. Is -1327 at least as big as v? False Let t = -6.16 - -0.16. Let p = -67/410 + 19/41. Is p less than t? False Let b = -351 + 352. Let d = 7684/29 - 265. Which is smaller: b or d? d Let b be ((-2)/(-4))/(16/(-6112)). Let u = 250 + b. Let q = -132 - -193. Does u = q? False Let o be ((-107)/214)/(0 - (0 - 4)). Let h = -0.4 + -0.15. Let m = h + -0.05. Is o < m? False Let d = -40 - -48. Suppose -5*s - 5*w = 15, d*w - 5*w + 2 = 4*s. Let o be ((-5)/(-20))/(20/2). Which is smaller: s or o? s Suppose -1 = -2*t + 3. Suppose -t*w - 109 = 57. Let f = -82 - w. Are f and 3/4 unequal? True Suppose 3*x - 63 = 3*c, 2*x = -2*c - 3*c + 21. Suppose -x = 2*w + 16. Suppose 0 = -j - 14 - 3. Is j bigger than w? False Suppose 79*w = 54*w + 125. Let a = -5 + 10. Do a and w have different values? False Suppose 2*u + 74 = f + 70, 110 = 5*f + 5*u. Which is bigger: -39 or f? f Let p = 881 + -1336. Let q be (-1409)/p - 3 - 1/7. Do -0.2 and q have the same value? False Let u(h) = -10*h + 170. Let s be u(19). Is s at least as big as -20? True Suppose -12*u - 1092 = -19*u. Suppose 0 = 3*f - k + 268, -4*k - k - u = 2*f. Is -89 smaller than f? True Suppose -4*h = -h - 30. Suppose 225 = 4*p - 5*r, -3*p - 70 = -4*p + 4*r. Let j be (12/h)/((-45)/p). Which is bigger: -1 or j? -1 Suppose 0 = -4*p + 4 + 8. Suppose 3*w = -w - p*l - 12, 6 = -2*w - 4*l. Let s = 249 + -1005/4. Which is smaller: w or s? w Let j = -5364 + 3682. Do j and -5044/3 have the same value? False Let a = -4161795688992250/163992274137 + -4262/119093881. Let s = a + 25378. Which is greater: s or 1? 1 Let n be 2*(-36)/56 + 2/7. Let j be (n + 1)*-5*(-5)/25. Let i be 2/(9 + 1 + -4). Does j = i? False Let i be 1843/114 + 2/(-12)*1. Suppose 0 = 11*a - i*a + 105. Let u(s) = s**3 - 3*s**2 + 2*s - 3. Let q be u(4). Is a <= q? True Suppose -4*t = 5*l - 15, 4*t - 5*l - 30 + 5 = 0. Suppose 4*u = u + 6, -z - t*u = -17. Suppose 2*m = i + 8, -4*m = -i - z + 1. Which is smaller: i or -26/3? i Suppose -83*s - 440 = -103*s. Suppose s = -10*l + 22. Which is smaller: 210/17 or l? l Let m = -35276/49717 - -60/83. Is m smaller than 1? True Suppose -11930 - 11216 - 3331 = 29*t. Which is greater: t or -4566/5? t Let p be (-8)/(-18)*(-9)/18. Let n(u) be the second derivative of 5*u**3/3 + 19*u**2/2 - 101*u. Let j be n(-2). Is j < p? True Let h = -114525 - -10307131/90. Which is smaller: -1 or h? h Let p be (-24)/(-7)*((-8)/(-68) - (-103974)/(-306)). Which is greater: -1166 or p? p Suppose 2*k = 3*m - 8*m + 356, -m = 3*k - 79. Suppose m*t - 2 = 69*t. Let g be (0 + 0)/(4 - 1 - t). Is -1 equal to g? False Let v be 2182/12 - ((-47)/2 + 24). Is v > 182? False Let u = -4350 + 4350. Are u and 16/817 nonequal? True Suppose 0 = -4*a + 16 - 40. Let v(f) = 2*f - 25. Let z be v(a). Let g = z + 34. Which is bigger: -1 or g? -1 Let f(i) = 107*i + 1675. Let d be f(-26). Is 1 <= d? False Let z = -36.85 + 59.85. Is 13/8 greater than z? False Let i = -1101 - -546. Let p = 554 + i. Which is greater: p or -1/24? -1/24 Let a be -2282 + 29 - (-12)/(-2). Let v = 88108/39 + a. Is 1 < v? False Suppose 12*o + 76 = -32. Let m be (12/o - 2)*-13*3. Which is smaller: 129 or m? 129 Let v = -179.62 + 179.86. Which is smaller: v or -2/247? -2/247 Let z be (-12)/(-2)*(-6)/4. Suppose -5*k - 2*f - 13 = 0, 2*k - 3*f - 20 = -29. Which is smaller: k or z? z Let j(m) = 5*m**2 + m**3 + 9*m + 18 + 0*m**3 + 8*m**2 - 1. Let n be j(-9). Is 261 >= n? True Let c(p) = 5*p + 38. Suppose -4 = -2*q, -3*t - 2*q = -4*q - 110. Suppose t*r - 42*r - 28 = 0. Let f be c(r). Which is greater: 13 or f? 13 Let n = -210.5 - -200.5. Let a be (-3)/((-17)/(-10) + -2). Let q be (-1)/a*30/(-4). Is q bigger than n? True Let w(h) = -h**3 + 4*h**2 - 3*h - 3. Let j be w(3). Let p be (-3)/(-3)*(0 - j). Let x = -11/3 + p. Is -2 at most as big as x? True Let d(u) = u**3 - 19*u**2 + 143*u - 2717. Let h be d(19). Which is bigger: 9/631 or h? 9/631 Let w(y) = 7*y - 4 + 3*y**2 + 7 - 2*y**2 + 6. Let c be w(-6). Suppose 12 = 5*q + c*r, 3*q + 5*r = 2*q + 20. Do -1/37 and q have the same value? False Suppose 69 = -5*y + 3*o, 77*o = -2*y + 80*o - 24. Is y smaller than -29? False Let m = -0.8 - 0.2. Let q = -654.9 + 681.9. Is q at least as big as m? True Let o = 16178 + -16134. Is o greater than 13? True Let y = 2172.206 + -2170. Let z = y + -0.206. Which is bigger: 0 or z? z Suppose -13 = -2*b - 4*i - 1, 4*i = -12. Suppose -h + b = 2*w, -3*h + 4 = w - 3*w. Let t(s) = -s + 24. Let a be t(11). Do a and h have the same value? False Suppose 2*t = 17 + 91. Let h = 219/5 - t. Which is bigger: 0 or h? 0 Let u be 8/(-400)*4 + (-3)/((-10125)/22895). Is u equal to 8? False Let i = 18502 - 19674. Which is smaller: i or -4? i Let s be (-3 + -67)*((-216)/45)/8. Let c be 2 + s/(-6) + 8. Which is greater: -2/11 or c? c Suppose 0 = -5*n + 620 - 600. Let y be (-11 + 36368/3304)/((-6)/n). Which is bigger: y or 0? 0 Let q = 4/45 + -151/180. Let o = -431 - -435. Is q > o? False Let f = -6 + 6. Suppose f = -q + 6 + 31. Let r = -41 + q. Are -5 and r unequal? True Let m = 578 + -579. Let p be 11/(33/(-1))*3*m. Let z = -42/13 + 1163/364. Which is bigger: p or z? p Let q(b) = 192*b + 905. Let z be q(-7). Which is smaller: -435 or z? z Let c be (-3)/(((-930)/(-2540))/31). Which is smaller: c or -257? -257 Let o = 0.167 - 0.267. Let a(j) = -j**2 + 7*j - 1. Let f be a(6). Let t(g) = -g**3 + 6*g**2 - 7*g + 3. Let u be t(f). Which is smaller: u or o? u Suppose 8*t - 850 = 3*t. Let f be (2516/t)/((-2)/(-30) - 0). Let n be (9/f)/((-6)/(-1)). Is n at most 1? True Let z be 3 - (-11)/((-11)/24). Let a = -291 - -96. Let v be (-18)/63 + a/z. Is v less than 3? False Let a = 4 - 6. Let d = 11 + -20. Let k(g) = g**3 + 9*g**2 + g + 7. Let h be k(d). Is a != h? False Suppose 4*o = -0*b - 2*b - 502, -4*o + 494 = -2*b. Let z = 1786 - 1798. Let n be 3/z - (-2 - b/156). Is n at most as big as -1? False Let g(c) = 13*c + 4. Let l(o) = -6*o - 3. Let w(k) = -3*g(k) - 7*l(k). Let p be w(7). Do 31 and p have different values? True Let a = -43.998 + -1.152. Let t = 44.7 + a. Which is smaller: t or 0.1? t Let n(t) = 2*t**2 + 8*t - 2*t**2 - t**2 + 0*t**2 - 9. Let a be n(6). Suppose -b + 5*x = -2 + a, 5*x + 3 = -3*b. Do -2 and b have different values? True Let n be (0 - -1)/((-7)/(-28)). Suppose -n*d + 4 = -7*x + 4*x, 5*d - 12 = 2*x. Let m be ((-18)/x + 3)/(-6). Which is greater: m or 5? 5 Let b = -357 - -356. Which is smaller: b or 841? b Suppose -4*g = 3*a - 2785, 19*g = 21*g + 2*a - 1392. Are g and 696 equal? False Let u be (-4)/(-10) + (2224/10)/4. Let r = 51 - u. Suppose 0 = -7*s + 2*s - 25. Are r and s nonequal? False Let j = 176 - 208.8. Let b = j - -33.8. Let d be 1/(-3) + (-68)/(-15). Do b and d have the same value? False Suppose 12*s + 3*q = 10*s + 3585, -1791 = -s - 3*q. Is -0.1 greater than s? False Let q be 29068/39*(1 - 2/(-4)). Is 1120 smaller than q? False Suppose 14*t + 3*f = 16*t - 13, 4*f = -2*t - 22. Let o be -3*(-1 + (-100)/5). Let s be (10/6 - 1)*o. Are t and s equal? False Let c = -1.55 - -8.55. Do 0.378 and c have the same value? False Suppose 5*a + 20 = 5*n, 2*n + 3*n = a. Let l = n + 8. Let b(z) = 29*z - 79. Let c be b(3). Which is bigger: l or c? c Let h = 5019 - 5051. Is -185/6 bigger than h? True Let s = 5111 - 5181.03. Let w = 3.2 - 73.2. Let n = w - s. Which is smaller: n or -0.02? -0.02 Suppose -5*z - 3 = -4*b, 2*z + 6*b + 8 = 11*b. Let a be 4 + 3 + 241/(-33). Which is smaller: a or z? a Let i(u) = -107*u - 7204. Let h be i(-49). Is h bigger than -1963? True Let i = 48086069/85638333 - 2/457959. Is 0 less than or equal to i? True Let f = -13387.97 - -13387. Let b be (-2)/8 + (-11)/(-12). Which is greater: b or f? b Let q = 0.03086 - 1.03086. Is q at least -0.148? False Suppose -p = 2*d + 60, 2*p + 96 = -0*p + 2*d. Let y be (-371)/7 + (3 - 0). Which is bigger: p or y? y Suppose q + 3*o = 534, 232*o - 2118 = -4*q + 229*o. Which is greater: 534 or q? 534 Let r = -35 + 38. Suppose 0 = r*j + 12, 5*j - 20 = -3*q - 130. Which is smaller: q or -29? q Suppose 5*s = -b - 14968, 66*b - 62*b - 2*s = -6000
{ "pile_set_name": "DM Mathematics" }
alculate the greatest common divisor of 60 and g. 15 Suppose 0 = -0*u + u - 30. Let x(l) = l**3 + 12*l**2 + 15*l + 14. Let r be x(-10). Let s = r - 19. What is the greatest common factor of u and s? 15 Suppose 40 = 4*r - 4*j, -4*r - 4*j - 12 = -36. What is the greatest common factor of 72 and r? 8 Let r(a) = 5*a**2 - 2*a + 2. Let h be r(2). Calculate the highest common divisor of 12 and h. 6 Let j(f) = -2*f**3 - 2*f**2 + 5*f + 1. Suppose 0 = -3*o + 15, 8*o - 5 = -2*x + 5*o. Let z be j(x). What is the greatest common factor of z and 16? 16 Let t(z) = -2*z**3 - 3*z**2 + 5*z + 4. Let a be t(-3). What is the highest common factor of 8 and a? 8 Let u = -16 - -19. What is the greatest common factor of u and 21? 3 Suppose -5*f + 0*f = -a - 17, f + 5 = 3*a. Suppose -f*p + 2*j = -110, 0*p - 108 = -4*p + 4*j. What is the greatest common divisor of 14 and p? 14 Let p(l) = l - 1. Let o be p(3). Suppose 2*f - 8 = -2*h, h + o*f = -3*h + 8. Suppose -c + 75 = -h*c. Calculate the highest common factor of c and 30. 15 Let l be (-2 + 5)/(9/6). Suppose -4 + 44 = l*h. Let c = 14 + -4. What is the highest common divisor of c and h? 10 Let v(c) = 11*c**2 - 2*c - 1. Let t be v(-1). Suppose 2*d = 2, 2*j + 118 = 3*j - 2*d. Calculate the greatest common factor of j and t. 12 Suppose 0 = -2*l + l + 34. Suppose -30 = -4*z + l. What is the greatest common divisor of 40 and z? 8 Let c(d) = 23*d - 2. Let g be c(1). Calculate the greatest common factor of g and 14. 7 Let q(p) = -12*p - 12. Let r be q(-5). What is the highest common factor of r and 12? 12 Suppose -4*h + 6*h - 286 = 5*w, 4*h - 560 = 4*w. What is the greatest common divisor of h and 23? 23 Suppose -5 = i + 5*r, 3*i + 2*r + r = 21. Let a(c) = c**3 - 2*c**2 + 2*c - 1. Let f be a(2). Let v = f + 2. Calculate the highest common factor of v and i. 5 Suppose 10 = 2*g - g. Let t = -6 + g. Let w be ((-2)/t)/(1/(-68)). Calculate the highest common divisor of 17 and w. 17 Let d = 5 + -5. Suppose 0 = 3*z - 4*f - 211, -4*f + d*f - 276 = -4*z. Let t(j) = j + 6. Let r be t(7). What is the highest common factor of z and r? 13 Let s(c) = 2*c**3 + 5*c**2 - c + 1. Let m be s(-4). Let j = m - -88. Calculate the highest common factor of 30 and j. 15 Let z = 21 + -11. Suppose -150 = -4*i + 2*i - 5*x, 2*i - 158 = -x. Calculate the highest common factor of z and i. 10 Suppose -4*o = -o + 12, -3*n = -o - 139. What is the highest common factor of 315 and n? 45 Let w be 1 - -2 - 4/6*3. Calculate the greatest common factor of 4 and w. 1 Suppose r = 0, -d - 8*r + 3*r = -84. What is the highest common divisor of d and 28? 28 Suppose 0*d + y = -3*d - 22, 4*y = 5*d + 14. Let t = 25 + -29. Let o = t - d. What is the greatest common factor of 1 and o? 1 Let c(t) = -t**3 - 7*t**2 - 10*t - 7. Let h be c(-7). What is the highest common divisor of h and 9? 9 Let u(a) be the first derivative of a**3/3 + a**2 - a + 2. Let s be u(-2). Let q be (s + -2)*(-55)/15. Calculate the highest common divisor of 77 and q. 11 Let l(w) = -w**2 + 18*w + 36. Let v be l(18). Let d(h) = 5*h**2 + h + 2. Let f be d(2). Calculate the highest common divisor of v and f. 12 Let t = -127 + 259. What is the highest common divisor of t and 36? 12 Let i be (-40)/(-14)*28/8. Calculate the greatest common factor of i and 4. 2 Let c be 2/6 + 1190/30. What is the greatest common factor of c and 10? 10 Suppose -x - 2*u + 5 = 1, 0 = -x + 5*u + 39. What is the highest common divisor of 14 and x? 14 Suppose 0 = -5*h + 67 + 73. Let y be 1/(-3) + (-212)/(-6). Suppose -5*t = -0*t - y. What is the highest common divisor of t and h? 7 Let i be 222/1 + -4 + 1. Suppose -5*s + 301 = -i. Calculate the highest common divisor of s and 13. 13 Suppose -56 - 149 = -5*l. Calculate the highest common divisor of l and 164. 41 Let q be 1/4 - (-76)/16. Suppose 0 = -q*g + 255 - 60. Calculate the highest common factor of g and 26. 13 Let i(d) = -4*d - 7. Let p(v) = -2*v - 3. Let m(s) = 3*i(s) - 5*p(s). Let a be m(-4). What is the highest common factor of 1 and a? 1 Suppose -7*w + 3*w + 64 = 0. Suppose -2*f - 2*f = 8, 3*f = 5*n - w. Let k(g) = -g**2 + 6*g - 2. Let x be k(5). Calculate the greatest common divisor of n and x. 1 Let s be ((-45)/(-2))/(15/20). Calculate the highest common divisor of 45 and s. 15 Let c(r) = 4*r**2 - r - 5. Let j be c(-4). Calculate the highest common divisor of j and 7. 7 Let a = -30 - -35. Suppose -3*k - 2*b = -66, 2 + 1 = b. Calculate the greatest common factor of a and k. 5 Let r(p) = 10*p - 2. Let k be r(4). Let i = 102 - 83. Calculate the highest common factor of i and k. 19 Let z be (-7 - -10) + 6/(-2). Let w be 5 - z - (-9 + 11). Calculate the highest common divisor of w and 9. 3 Let o = -1 - 2. Let z = 6 + o. Calculate the highest common divisor of 2 and z. 1 Let c = -232 - -360. Suppose o - 64 = -3*o. What is the highest common divisor of c and o? 16 Suppose 5*m - 65 = 2*u, 4*m = -4*u + u + 29. Calculate the highest common factor of 44 and m. 11 Suppose -z + 51 = -3*m + 12, -3*m = 15. Let w = 275 + -131. What is the greatest common factor of w and z? 24 Let x = -83 - -179. What is the greatest common factor of x and 24? 24 Let i = 44 + -31. Suppose 3*p + 2*w - 388 = 0, -3*p + w = -4*w - 395. What is the greatest common factor of i and p? 13 Let w be -3 - (-2*3 + -4). What is the greatest common factor of 70 and w? 7 Let h(r) = 5*r**2 - 7*r. Let x be h(-3). Calculate the greatest common factor of 6 and x. 6 Let f be 1*2 - (0 + -1). Let s(d) = 7*d + 6. Let j be s(6). Let b = -15 + j. What is the highest common factor of f and b? 3 Suppose 3 = -m + 2, 0 = g - 2*m - 71. What is the highest common divisor of 23 and g? 23 Let u be ((-42)/(-8))/(6/16). Let g = 97 + -41. What is the greatest common divisor of g and u? 14 Let h(j) = -5*j - 3. Let t be h(-3). What is the highest common divisor of 96 and t? 12 Suppose 21*f = 15*f + 24. What is the greatest common factor of 12 and f? 4 Let b(c) = -c**2 - 4*c + 3. Let m be b(-5). Let l be (-2397)/(-119) + m/14. What is the greatest common factor of 5 and l? 5 Let i(r) = -r**3 + 5. Let q = 4 + -4. Let c be i(q). Suppose 0*o + c*o + 5*d = 0, 2*o - 4*d - 12 = 0. What is the greatest common factor of o and 18? 2 Let m be ((-6)/(-3) + 2)*8. Calculate the greatest common factor of 32 and m. 32 Let o = 13 + -9. Let p be (5 + -15)*(-16)/5. What is the highest common divisor of o and p? 4 Let a = 65 + -31. Calculate the greatest common factor of a and 306. 34 Let m be (-6)/14 + 374/154. What is the highest common factor of m and 8? 2 Let s = 259 - 149. What is the greatest common divisor of s and 10? 10 Let j(i) = -i - 5. Let v be j(-6). Suppose 0 = -r + v. Let q be (r/(-2))/((-2)/144). Calculate the highest common divisor of 4 and q. 4 Let d = 9 - 4. Suppose -2*s + 272 = -q + 5*q, 142 = 2*q + 4*s. Suppose -2*o + q = -13. Calculate the highest common divisor of d and o. 5 Let f be ((-2)/7)/((-3)/21). Suppose -f*v = v - 4*k - 168, 2*k = 5*v - 280. What is the highest common divisor of 7 and v? 7 Suppose -9 = -k + 2. Suppose 4*n = -0*n - 8. Let j be n/(1 + (-123)/121). Calculate the highest common factor of k and j. 11 Suppose 0*n + 84 = 4*y + 4*n, 0 = -2*y - 4*n + 50. Calculate the greatest common divisor of y and 68. 17 Let m be (-78)/(-8) + (-3)/(-12). Let j = 16 + 15. Suppose v + v - j = -t, 5*v = -t + 76. What is the greatest common factor of m and v? 5 Let g(h) = h**3 + 4*h**2 + 4*h - 12. Let i be g(3). Calculate the highest common divisor of 7 and i. 7 Let j = -8 - -12. Suppose j*u - 4 = -i, 4*u = -3*i - u + 12. Suppose 0 = h - 5*k - 7, -i*h + 5*k + 5 = -38. Calculate the greatest common factor of h and 48. 12 Suppose 0*p - 2*p = -34. Suppose -p = 5*m - 2. Let y = 14 + m. What is the highest common factor of y and 121? 11 Suppose -6*b + 10*b = -8. Let g = b + -2. Let s(u) = -u**3 - 2*u**2 + 4*u + 3. Let r be s(g). What is the greatest common factor of 76 and r? 19 Suppose 2*j + 0*r - 2*r = 4, 0 = 3*j + 3*r. Let w be j + 2*(-17)/(-2). Suppose -4*p + 5*p = 72. Calculate the highest common divisor of w and p. 18 Let x(n) = 20*n**2 + n + 1. Let c be x(-1). Let f(j) = 11*j - 1. Let i be f(1). Calculate the highest common divisor of c and i. 10 Let v be ((-2)/(-1))/((-4)/(-78)). Let d(u) = u**3 - 16*u**2 + 28*u + 13. Let r be d(14). Calc
{ "pile_set_name": "DM Mathematics" }
hest common divisor of 1380 and 2980. 20 Calculate the highest common divisor of 1937646 and 12. 6 Calculate the highest common divisor of 70 and 2464. 14 What is the greatest common factor of 1185 and 52995? 15 What is the greatest common factor of 1053 and 7938? 81 Calculate the highest common factor of 13376 and 41536. 704 Calculate the highest common divisor of 309 and 694735. 103 What is the greatest common divisor of 431817 and 459? 51 Calculate the highest common divisor of 136 and 2006. 34 Calculate the greatest common divisor of 12 and 324804. 12 Calculate the greatest common factor of 20295 and 943. 41 What is the highest common divisor of 2662 and 18898? 22 What is the highest common divisor of 30300 and 15? 15 What is the greatest common divisor of 80 and 87760? 80 Calculate the highest common factor of 268 and 334531. 67 Calculate the highest common divisor of 1784 and 88. 8 What is the highest common divisor of 2584 and 13243? 323 What is the highest common factor of 330 and 18840? 30 What is the greatest common factor of 15405 and 45504? 237 What is the highest common divisor of 324912 and 1806? 42 Calculate the greatest common factor of 66719 and 34577. 487 Calculate the greatest common factor of 472855 and 85. 85 Calculate the highest common divisor of 800 and 528. 16 What is the highest common factor of 511365 and 467? 467 What is the greatest common divisor of 10164 and 3828? 132 Calculate the greatest common factor of 435 and 696. 87 Calculate the greatest common factor of 10 and 88310. 10 Calculate the greatest common factor of 20498 and 8658. 74 Calculate the highest common factor of 1696107 and 105. 21 What is the highest common divisor of 51815 and 2580? 215 Calculate the highest common divisor of 169526 and 91. 7 Calculate the greatest common factor of 664 and 63080. 664 What is the highest common factor of 1253 and 25249? 7 What is the highest common factor of 3366 and 816? 102 What is the greatest common divisor of 210 and 97230? 210 What is the highest common factor of 201 and 6436824? 201 Calculate the greatest common divisor of 9384 and 30. 6 What is the highest common divisor of 138 and 5865? 69 Calculate the highest common factor of 159458 and 234. 26 What is the greatest common divisor of 125065 and 5? 5 Calculate the greatest common factor of 19129 and 25234. 407 What is the highest common factor of 154687 and 116545? 2119 Calculate the greatest common divisor of 10 and 10286. 2 Calculate the greatest common factor of 6 and 6134. 2 What is the highest common divisor of 21 and 3137631? 21 Calculate the highest common factor of 426 and 76254. 426 What is the greatest common divisor of 594 and 88? 22 What is the highest common divisor of 2223 and 2847? 39 What is the greatest common divisor of 34980 and 14469? 159 What is the highest common divisor of 22 and 8954? 22 What is the greatest common divisor of 6179 and 668? 167 What is the greatest common factor of 1169 and 56947? 167 What is the greatest common divisor of 2486 and 33? 11 What is the greatest common divisor of 26 and 29367? 13 Calculate the highest common divisor of 1043271 and 18. 9 Calculate the highest common divisor of 177278 and 2466. 274 What is the greatest common factor of 187 and 107899? 187 What is the greatest common factor of 1997 and 17819231? 1997 Calculate the greatest common divisor of 572 and 56342. 286 Calculate the highest common divisor of 1092 and 156. 156 Calculate the highest common divisor of 2671 and 1. 1 What is the highest common factor of 8856 and 1836? 108 What is the highest common divisor of 88 and 6124? 4 Calculate the highest common divisor of 6027 and 2646. 147 What is the highest common divisor of 5811 and 507? 39 Calculate the highest common factor of 8262423 and 78. 39 Calculate the highest common divisor of 279 and 156271. 31 What is the highest common factor of 5 and 510795? 5 What is the greatest common divisor of 440 and 21840? 40 What is the greatest common divisor of 652 and 101223? 163 Calculate the greatest common factor of 1176 and 30. 6 What is the highest common divisor of 2175 and 6015? 15 What is the highest common divisor of 292 and 9782? 146 Calculate the greatest common factor of 31 and 6316467. 31 Calculate the greatest common factor of 115374 and 6027. 861 Calculate the greatest common divisor of 176 and 70136. 88 Calculate the highest common factor of 2569228 and 424. 212 Calculate the greatest common divisor of 76322 and 62. 62 Calculate the highest common factor of 209 and 11254441. 209 What is the greatest common divisor of 616296 and 24? 24 Calculate the highest common divisor of 35 and 3295. 5 Calculate the greatest common factor of 94066 and 14. 14 What is the highest common divisor of 170577 and 1584? 99 What is the highest common factor of 64890 and 2556? 18 Calculate the highest common factor of 816 and 848. 16 Calculate the greatest common factor of 817031 and 776. 97 Calculate the highest common factor of 159 and 3816. 159 What is the highest common divisor of 36 and 219006? 18 What is the greatest common factor of 155 and 1771495? 155 What is the greatest common divisor of 1116 and 1980? 36 What is the highest common factor of 3552 and 43392? 96 What is the greatest common factor of 1672356 and 344? 172 What is the greatest common factor of 18 and 257571? 9 What is the greatest common divisor of 67360 and 1280? 160 Calculate the greatest common divisor of 29 and 275819. 29 What is the greatest common divisor of 52466 and 148? 74 What is the highest common factor of 5724 and 7830? 54 Calculate the highest common factor of 13290 and 300. 30 What is the highest common factor of 804 and 28344? 12 Calculate the greatest common factor of 1393372 and 3956. 172 What is the highest common divisor of 154524 and 96? 12 Calculate the highest common factor of 5504 and 2048. 128 What is the highest common divisor of 1250 and 6550? 50 Calculate the highest common factor of 3700 and 14740. 20 What is the greatest common factor of 19050 and 275? 25 Calculate the greatest common factor of 960 and 2240. 320 What is the greatest common divisor of 23287 and 3190? 319 Calculate the greatest common divisor of 177 and 225439. 59 Calculate the greatest common factor of 574 and 616. 14 Calculate the greatest common factor of 2562 and 397842. 366 What is the greatest common factor of 786508 and 415? 83 What is the highest common divisor of 14905 and 150405? 1355 Calculate the greatest common divisor of 3350 and 105860. 670 What is the greatest common factor of 144 and 30258? 18 Calculate the highest common factor of 95839 and 13634. 401 Calculate the highest common factor of 360 and 14967. 9 What is the highest common factor of 531176 and 991? 991 Calculate the highest common divisor of 850 and 5542. 34 What is the highest common divisor of 681000 and 5? 5 What is the highest common factor of 423 and 1044? 9 What is the highest common divisor of 2889 and 100794? 321 What is the greatest common divisor of 525266 and 952? 238 What is the greatest common divisor of 8480 and 14? 2 Calculate the highest common factor of 34304 and 134. 134 Calculate the highest common divisor of 47 and 478507. 47 What is the greatest common divisor of 132 and 32384? 44 What is the greatest common factor of 228 and 10203? 57 What is the highest common divisor of 615 and 26855? 205 Calculate the greatest common factor of 1500 and 8088. 12 Calculate the highest common divisor of 310 and 66340. 310 What is the highest common divisor of 138 and 26611? 23 What is the highest common factor of 176 and 4048440? 88 Calculate the highest common divisor of 954529 and 2931. 977 What is the greatest common factor of 182900 and 400? 100 Calculate the greatest common divisor of 832 and 859664. 208 Calculate the greatest common factor of 263 and 493388. 263 What is the greatest common factor of 16 and 2606? 2 Calculate the highest common factor of 238 and 224. 14 What is the greatest common factor of 102 and 6097458? 102 Calculate the highest common divisor of 19294 and 1694. 22 What is the highest common factor of 2802 and 3018? 6 Calculate the greatest common factor of 5678 and 21454. 34 Calculate the highest common divisor of 20 and 3439880.
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from ttattttat. What is prob of picking 2 t and 1 a? 1/2 Two letters picked without replacement from {a: 5, v: 1, h: 2, y: 1, r: 1}. Give prob of picking 2 h. 1/45 Two letters picked without replacement from {p: 1, k: 4, d: 1, w: 2}. Give prob of picking 1 w and 1 d. 1/14 Calculate prob of picking 3 b when three letters picked without replacement from ddddddddddbbdbbdbd. 5/408 Calculate prob of picking 2 w when two letters picked without replacement from bbbbbbbbbbwbwbwbbbbb. 3/190 Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 7, i: 7}. 7/13 Two letters picked without replacement from {l: 1, d: 4, a: 1, x: 2, g: 2}. Give prob of picking 2 a. 0 Two letters picked without replacement from oukawou. Give prob of picking 1 o and 1 w. 2/21 Calculate prob of picking 2 h and 2 r when four letters picked without replacement from jyrmmhryrmmhmrm. 2/455 Calculate prob of picking 1 t and 2 r when three letters picked without replacement from {t: 12, r: 3}. 36/455 Calculate prob of picking 2 g and 2 o when four letters picked without replacement from {i: 4, o: 4, g: 2}. 1/35 Four letters picked without replacement from xtetxdxxdtdx. Give prob of picking 3 t and 1 x. 1/99 What is prob of picking 2 n and 2 l when four letters picked without replacement from {l: 3, w: 2, x: 1, n: 3, z: 1}? 3/70 Four letters picked without replacement from {t: 2, p: 1, q: 1, l: 1, g: 1, o: 1}. What is prob of picking 1 g, 1 o, 1 l, and 1 p? 1/35 Calculate prob of picking 1 g and 1 v when two letters picked without replacement from gvvvgvvvvgvvvvvvvgvg. 15/38 Four letters picked without replacement from {n: 6, f: 13}. What is prob of picking 3 f and 1 n? 143/323 Four letters picked without replacement from {o: 4, d: 2}. Give prob of picking 4 d. 0 Two letters picked without replacement from {x: 3, g: 1, j: 4}. What is prob of picking 1 g and 1 j? 1/7 What is prob of picking 1 u, 1 y, and 1 t when three letters picked without replacement from yvtutybypvyt? 3/55 Calculate prob of picking 2 l and 2 k when four letters picked without replacement from {w: 7, l: 3, k: 2}. 1/165 Calculate prob of picking 1 g and 1 p when two letters picked without replacement from appavqvppvpbag. 5/91 Two letters picked without replacement from wwqjyqn. Give prob of picking 1 q and 1 j. 2/21 Calculate prob of picking 2 n and 1 f when three letters picked without replacement from {f: 2, s: 1, n: 2, r: 1, y: 1, i: 1}. 1/28 Two letters picked without replacement from {a: 1, n: 2, m: 1, e: 1}. Give prob of picking 1 m and 1 e. 1/10 Two letters picked without replacement from {g: 1, i: 1, r: 1, u: 2}. What is prob of picking 1 g and 1 u? 1/5 Calculate prob of picking 2 k, 1 f, and 1 o when four letters picked without replacement from kfoka. 1/5 Two letters picked without replacement from hhwhy. Give prob of picking 2 h. 3/10 Three letters picked without replacement from cvcvcccvccvcucvvcvcc. Give prob of picking 2 v and 1 u. 7/380 What is prob of picking 2 g, 1 n, and 1 a when four letters picked without replacement from naaangnganannaagaag? 27/323 What is prob of picking 1 m and 2 g when three letters picked without replacement from gxxmggxgggmgyxmyymm? 35/323 Calculate prob of picking 2 o when two letters picked without replacement from {y: 1, l: 1, o: 2}. 1/6 What is prob of picking 1 j and 1 t when two letters picked without replacement from {t: 4, j: 2}? 8/15 What is prob of picking 3 j and 1 u when four letters picked without replacement from jvjjyvujyvjj? 4/99 What is prob of picking 2 g and 2 a when four letters picked without replacement from {i: 2, a: 12, g: 4, e: 1}? 33/323 What is prob of picking 1 b and 1 u when two letters picked without replacement from {u: 5, q: 1, d: 3, b: 5, c: 5}? 25/171 Calculate prob of picking 4 a when four letters picked without replacement from aaeaeeeeeeaaa. 3/143 Four letters picked without replacement from {y: 2, l: 3, h: 3, e: 10, i: 1}. Give prob of picking 2 e and 2 h. 45/1292 Three letters picked without replacement from {w: 11, y: 5}. Give prob of picking 3 w. 33/112 Three letters picked without replacement from qpvzmmw. Give prob of picking 2 m and 1 p. 1/35 Calculate prob of picking 4 d when four letters picked without replacement from oddoddddodd. 7/33 What is prob of picking 1 z and 1 g when two letters picked without replacement from {c: 1, e: 2, f: 2, q: 1, g: 1, z: 1}? 1/28 Three letters picked without replacement from cickcyi. What is prob of picking 2 i and 1 k? 1/35 What is prob of picking 1 z and 2 v when three letters picked without replacement from {z: 5, v: 15}? 35/76 Three letters picked without replacement from nnlllnklnnlfnzk. Give prob of picking 1 f and 2 k. 1/455 Four letters picked without replacement from jjjjjjgjjjjjjjj. Give prob of picking 4 j. 11/15 Two letters picked without replacement from {c: 2, u: 2, w: 1}. What is prob of picking 1 c and 1 w? 1/5 Three letters picked without replacement from {x: 5}. What is prob of picking 3 x? 1 What is prob of picking 4 z when four letters picked without replacement from zzzzzz? 1 What is prob of picking 1 s and 1 a when two letters picked without replacement from {l: 3, a: 1, b: 6, s: 2, t: 3, g: 4}? 2/171 What is prob of picking 3 q when three letters picked without replacement from jiiiqjjifqpqfqqi? 1/56 What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 5, c: 1, s: 1, a: 5}? 25/66 Two letters picked without replacement from lkiilkkikiikkkk. What is prob of picking 2 l? 1/105 What is prob of picking 2 p when two letters picked without replacement from {p: 7, h: 12}? 7/57 What is prob of picking 3 a and 1 m when four letters picked without replacement from {o: 7, a: 5, z: 4, m: 2}? 1/153 Two letters picked without replacement from {c: 2, b: 1, j: 1, g: 4, q: 2, h: 7}. Give prob of picking 1 q and 1 h. 7/68 What is prob of picking 2 u when two letters picked without replacement from {o: 6, g: 9, u: 4}? 2/57 Four letters picked without replacement from npggxhpppyyhp. Give prob of picking 3 h and 1 g. 0 What is prob of picking 1 n, 1 o, and 1 v when three letters picked without replacement from eooboeovnobeeoovvoo? 9/323 Three letters picked without replacement from mmmyymmmm. Give prob of picking 3 m. 5/12 Three letters picked without replacement from btontoannatt. Give prob of picking 1 a and 2 o. 1/110 Two letters picked without replacement from {w: 9, a: 5}. Give prob of picking 2 w. 36/91 Four letters picked without replacement from {v: 3, e: 7, d: 4}. What is prob of picking 3 v and 1 e? 1/143 What is prob of picking 2 i when two letters picked without replacement from {h: 7, i: 6}? 5/26 What is prob of picking 1 l, 1 s, 1 t, and 1 g when four letters picked without replacement from stglt? 2/5 Three letters picked without replacement from {s: 4, a: 6}. What is prob of picking 3 s? 1/30 What is prob of picking 3 c when three letters picked without replacement from {q: 1, c: 14}? 4/5 Two letters picked without replacement from ceugssut. Give prob of picking 2 u. 1/28 Calculate prob of picking 1 t and 3 u when four letters picked without replacement from ttutustust. 1/42 Three letters picked without replacement from yyysyysy. Give prob of picking 2 y and 1 s. 15/28 Calculate prob of picking 2 l and 1 d when three letters picked without replacement from {g: 2, s: 2, d: 1, l: 4, o: 1, y: 2}. 3/110 Three letters picked without replacement from {j: 2, e: 4, w: 4, c: 1}. Give prob of picking 1 w, 1 e, and 1 j. 32/165 Three letters picked without replacement from {i: 4, q: 14}. What is prob of picking 2 q and 1 i? 91/204 Four letters picked without replacement from kfmbbbmffbbbkbmkmk. What is prob of picking 1 m and 3 f? 1/765 Four letters picked without replacement from {m: 4, g: 3, p: 4}. What is prob of picking 1 m, 1 p, and 2 g? 8/55 What is prob of picking 1 n and 3 g when four letters picked without replacement from nnfnnngnnnngnnfng? 3/595 Calculate prob of picking 1 w and 3 l when four letters picked without replacement from lwwwwlwllwwl. 14/99 Two letters picked without replacement from wwwwwcwwwwywwwyyw. What is prob of picking 2 w? 39/68 Calculate prob of picking 1 u,
{ "pile_set_name": "DM Mathematics" }
s (-m - 5 + 0 + 1)*(5041*m - 1 - 3 - 4980*m) as l*m**2 + o*m + t and give l. -61 Express -516*p - 519*p + 145 - 8*p**3 + 1036*p - 3*p**3 as z*p + s + t*p**2 + a*p**3 and give a. -11 Express (-49 + 25 - 73)*(5*c + 4145 - 4145) as y*c + b and give y. -485 Rearrange -1 + 2400371*k + 1 - 2392717*k to i + l*k and give l. 7654 Rearrange -4*h**2 + 7*h**2 + 7*h**2 + (5*h**2 - 5*h**2 + h**2)*(33 - 24 - 353) to the form t*h + y + u*h**2 and give u. -334 Express (-45 - 10*r + 45)*(-r + 4*r - r) + 73*r**2 - 64 + 64 + (-3*r**2 - 2*r**2 + 3*r**2)*(-2 + 4 - 3) as p*r**2 + f + b*r and give p. 55 Rearrange -5*c**2 - 48571*c - 49027*c + 96820*c to b + f*c + p*c**2 and give f. -778 Rearrange 5*c**2 + 36*c - 25153 - 10*c**3 - 2*c**2 + 4*c + 25151 to k*c**3 + d*c**2 + f*c + z and give k. -10 Rearrange 43*y**4 - 55*y**2 + 55*y**2 + (3 - 3 + 1)*(-y**3 - y**4 + y**3) + 8*y**4 + 29 - 29 to the form w + n*y + b*y**2 + r*y**4 + o*y**3 and give r. 50 Express (-1 + 1 - v**4)*(5 + 5 + 5) + (-2*v**2 + 3*v**2 - 2*v**2)*(-4 + 3 + 5)*(41*v + 2*v**2 - 76*v - 51*v) as d*v**3 + z*v**4 + u*v + q*v**2 + b and give z. -23 Rearrange (-7415*k - 83701 - 83702 + 167403)*(-5*k**3 + 4*k**3 + 0*k**3 + (2*k**2 - 2 + 2)*(-6*k + 4*k + 4*k)) to s*k**3 + t + g*k + n*k**2 + d*k**4 and give d. -22245 Express -18*z**2 - 10*z**2 - 3*z**4 - 1 + 14*z + 95*z**3 + 29*z**2 - 12*z in the form n + c*z**2 + f*z**4 + o*z**3 + s*z and give n. -1 Rearrange (-2*b - b - 6*b)*(-b - 2*b + b) + (14 + 2*b - 14)*(-1 + 2*b + 1) + b**2 + b - b to the form y*b**2 + u + v*b and give y. 23 Express 1212 + 49*g - 34*g + 24*g - 37*g as r*g + c and give c. 1212 Express -424*d**2 - 2*d + 32930*d**4 - 16464*d**4 - 16467*d**4 - 1 in the form r*d**4 + l*d + c*d**3 + s + h*d**2 and give r. -1 Rearrange 407*n**2 - 534 + 1076 - 541 + 221*n**2 to the form r + t*n**2 + z*n and give t. 628 Rearrange -3*m - 2461*m**3 + 820*m**3 + 826*m**3 + 3*m**2 + 820*m**3 + 2 - 4*m**4 to b*m**3 + n + w*m**2 + p*m + r*m**4 and give n. 2 Rearrange (102 + 47 + 75)*(-8*d - 9*d + 3*d) - 3*d - d + d to the form z*d + g and give z. -3139 Rearrange -4*a**2 - 4 - 6*a**2 + a**3 + 4008635*a - 4008628*a to z*a**2 + q + r*a + k*a**3 and give k. 1 Rearrange (-152*p - 144*p + 292*p)*(3*p - p - p) - 25*p**2 + 981*p - 981*p to u*p + q + h*p**2 and give h. -29 Rearrange -321 + 127 + 114 + 102 + 2*j**3 to the form l*j**3 + h + c*j**2 + r*j and give l. 2 Rearrange (2*z**3 + 3*z**3 - 3*z**3)*(-3 + 4 - 2)*(860 - 1700 + 3590) to the form r*z**3 + v*z + a + j*z**2 and give a. 0 Rearrange 565*m + 37912*m**2 + 567*m - 1689*m + 557*m to d*m + p + q*m**2 and give q. 37912 Express 9*f**2 - 125*f**2 - 32*f**2 + 4*f - 1 as y*f**2 + g + z*f and give y. -148 Express 53*q + 64 + 83*q**3 + 71 - 92*q**3 + 2*q**4 + 63 - 197 in the form b*q + g*q**4 + y*q**2 + d + a*q**3 and give a. -9 Express -366917*o + 710436*o - 359798*o as p*o + x and give p. -16279 Express -7*o**2 - 199*o + 7*o**2 - o**3 + 765*o in the form j*o**2 + i*o**3 + q*o + p and give q. 566 Express -14*v**2 + 4 + 8*v**2 + 5*v**2 - 1 - 18*v + 0*v**2 as a*v + m*v**2 + o and give m. -1 Express -5294*u**3 - 5379*u + u**4 + 5378*u - 2*u**4 as j + z*u**3 + n*u + o*u**4 + d*u**2 and give o. -1 Rearrange -1618*p - 1617*p - 1612*p - 3 + 85*p**2 + 4842*p to the form h*p + g + u*p**2 and give u. 85 Rearrange (-a - 3*a + 6*a)*(2 - 3 + 2) + 2*a + 1 - 1 + (152 - 1142 - 4224)*(-2*a + 6*a - 2*a) to the form t + g*a and give g. -10424 Rearrange 0*c**3 - 4*c**3 - 91*c**2 - 2*c**3 + 7*c**3 - 17*c**3 to the form a + u*c + m*c**2 + l*c**3 and give m. -91 Express 3*t**3 - 1 - 4 + 2 + 1602*t**2 - 1610*t**2 - 1 as i*t + s + u*t**2 + q*t**3 and give s. -4 Rearrange 149 + b - 1062 + 26 to the form z + g*b and give z. -887 Express 7079*g - 104 + 117 - 9 - 4 as a*g + f and give a. 7079 Express 0*t**2 + 0*t**2 + 1761 - 2*t**3 - 1446 as r*t + m*t**2 + n*t**3 + j and give j. 315 Express 3*u**2 - 1261*u + 4 + 632*u + 632*u - 5*u**2 as d*u**2 + z + m*u and give d. -2 Express -525734 + 2211*w + 525734 as s*w + j and give s. 2211 Rearrange (0 + 2 + 1)*(2*n + 0*n - 5*n) - 14 + 14 + 9*n - n - n + n + (-6*n + 5*n - 3*n)*(-1 + 0 + 2) - n - 3*n + 5*n to i + d*n and give i. 0 Rearrange 4*k**4 + 0*k**4 - 2*k**4 + (-4*k**2 + 2*k**2 - k**2)*(1 + 387*k**2 - 817*k**2 + 0*k**2) to b*k**2 + s*k + t + j*k**3 + w*k**4 and give b. -3 Express 804*l - 28436634 + 9*l**2 + 28436634 in the form r*l**2 + z*l + v and give z. 804 Rearrange -2310*k - 1082*k + 1160*k to r + y*k and give y. -2232 Rearrange 2351*h + h**2 - 3 - 1 + 0 + 2349*h - 4695*h to the form g*h + k*h**2 + q and give q. -4 Rearrange 10446 - 10476 - 34*x**2 + 3*x**3 + x + 16*x**2 - 2*x**3 to i*x**3 + s + d*x**2 + a*x and give i. 1 Express -149917132 + 149917132 - 7415*h in the form c*h + l and give c. -7415 Rearrange 618*x**4 + 2*x**3 - 2760*x**4 + 17072 - 17073 to z*x**4 + b*x + g*x**3 + o*x**2 + y and give z. -2142 Rearrange (3 - 3 - 66879*j + 98750*j)*(-4 + 3 + 2)*(-5 + 1 + 2) to the form v*j + r and give v. -63742 Express -19 + 6424*l**2 + 10 + 9 + 23*l**2 in the form m*l + n*l**2 + p and give n. 6447 Express 1 - 1 - 2*b**2 + (-7 - 11 + 4)*(7*b**2 - 2*b**2 + 25*b**2) + (-1 + 1 + 2)*(b - 2*b + 0*b)*(-4 + 4 - 5*b) in the form u + s*b**2 + n*b and give s. -412 Rearrange -87*f**2 - 100*f**3 - 83*f**2 + 4*f - 1 - 89*f**2 + 258*f**2 to j*f**3 + k + c*f**2 + v*f and give v. 4 Rearrange 22*z**2 + 305*z**2 + 419*z**2 + 134*z**2 - 1 to r*z**2 + t*z + s and give s. -1 Express -5601 - 3022 + 594 + 2799 + 2*i**3 in the form s*i**2 + z*i**3 + h + k*i and give h. -5230 Express (12*k**2 + 17*k**2 + 18*k**2)*(-4*k - 3*k + 3*k) - 6 + 17*k**3 + 6 in the form v*k**3 + j*k + h + z*k**2 and give v. -171 Rearrange (w**2 - w**2 + 3*w**2)*(0 + 2*w**2 + 0) - 27*w**2 - 1525*w**4 - 33*w**2 + 60*w**2 to the form u*w + t + y*w**3 + k*w**4 + v*w**2 and give k. -1519 Express (3280*g**4 - 1821*g**4 + 4685*g**4)*(-1 - 2 + 0) as s*g**4 + j*g + v + k*g**2 + a*g**3 and give s. -18432 Express -48*f + 159*f - 61*f - 47*f + 1276 + 320 in the form o*f + h and give o. 3 Rearrange 21*b**3 + b**4 + 106 - 22*b**3 - 15 + 1 to the form l*b**3 + a + r*b + h*b**2 + t*b**4 and give t. 1 Rearrange -1868 - 1283 + 791 - u to the form r*u + p and give p. -2360 Rearrange (4*h - 3*h - 3*h)*((-1 + 1 + 2)*(1 + 2 - 1) + (-799 - 326 - 31)*(6 - 1 - 3)) to the form g + y*h and give y. 4616 Express (5*v - v - 2*v + (v - 4 + 4)*(0 + 3 - 4) - 31*v - 10*v + 17*v)*(6 - 4 + 0)*(986 - 2007 + 1002) as j*v + a and give j. 874 Express -12*u - 18 + 45 - 14 - u**4 - 6*u**3 - 17 as a + m*u**3 + q*u**4 + i*u + z*u**2 and give a. -4 Express 16*g - 15*g - g - 12*g**4 - 3869*g**4 + (3*g + 36 - 36)*(-g**3 + 1 - 1) as h*g**3 + c*g + q*g**2 + l + y*g**4 and give h. 0 Express (1 + 8*v + v - 13*v)*(-19 + 13 - 4*v + 63) in the form l + w*v + z*v**2 and give l. 57 Express -1 - 2*p**3 + 1 - 2*p + 6 - 149*p**2 + 169*p**2 as t*p**2 + d*p + m + f*p**3 and give t. 20 Rearrange (0*s + 0*s - 2*s)*(-4 - 2 + 5)*(2*s + 0 + 0) + 2*s**2 + s**2 - s**2 + (21*s + 4*s - 7*s)*(-8 + 4 + 0)*(1 - s - 1) to b + l*s**2 + f*s and give l. 78 Rearrange (0 + 19 + 38)*(-28*a + 116*a + 69*a + 181*a) to the form r + y*a and give y. 19266 Express (1 + 2 + 0)*(-134*h - 255*h - 1748*h)*(2*h**2 - h - h**2 - 2*h**2) in the form b + r*h**3 + z*h + u*h**2 and give u. 6411 Rearrange 0*r**3 - r**3 + 13555*r**4 - 13822*r**4 + (4*r**2 - 6*r**2 + 3*r**2)*(-r**2 + 3*r**2 - r**2) to p*r**3 + f*r**4 + v*r**2 + a*r + j and give f. -266 Express (143 + 9 + 6)*(3*w - 3*w - w) + w + 7*w + 2*w in the form j + y*w and give y. -148 Express -1572*t + 1985 + 1989 + 1988 - 5969 in the form s + d*t and give s. -7 Rearrange 829*w + 2901 + 2912 - 8724 + 2899 to j*w + i and give i. -12 Rearrange (73535 - 624*m - 73535)*(5*m - 3*m - m)*(-15*m + 15*m + 32*m**2) to v*m**4 + a*m**2 + z*m**3 + c*m + h and give v. -19968 Express 6881*m + 9977*m + 1576*m + 1805*m in the form i + q*m and give i. 0 Express -194 - 6*r**3 + r + 188 - 16*r**4 - 19*r**4 + 47*r**4 - 3*r as g*r**3 + x*r + b + q*r**4 + h*r**2 and give q. 12 Express -219*f**2 + 11*f**2 - 6716 + 6719 as u*f + p*f**2 + s and give s. 3 Rearrange (1 + 2 - 2)*(2*v**3 + 0*v**3 + 0*v**3) + (v**3 - 6*v**3 + 3*v**3)*(-163 - 74 - 73) - 2*v**3 - 2*v**2 + 2*v**2 to u + x*v**3 + r*v**2 + z*v and give x. 620 Rea
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = 22*k - 693 - 11. What is the smallest common multiple of k and 16? 32 Suppose -11*l + 10*l + 3*t = 0, -4*l - 5*t + 85 = 0. What is the least common multiple of 18 and l? 90 Let q = -7/339 - -9971/6780. Let v = -90/511 - -38441/12264. Find the common denominator of q and v. 120 Suppose 0 = 5*m + 2*o + 85 + 96, -m - 2*o = 41. Let j = m - -41. Let i = 61 - 43. Calculate the least common multiple of j and i. 18 Find the common denominator of (2453/154 + -16)/((-3)/(-173)) and -161/150. 1050 Let n = -3175/7 - -28057/63. Let x = 330039 - 3307413/10. Let r = -700 - x. Calculate the common denominator of r and n. 90 Let a = -15792665/162 - -97486. Let r = -1/324 - a. Calculate the common denominator of r and (1/2)/((-15)/(-231)). 60 Let t = -321 - -323. What is the smallest common multiple of 10 and t? 10 Suppose 2*o + u = -u + 6, 4*o - 4*u = 44. Let f(c) = -5*c - 22. Let g be f(-4). Let b = 3 - g. Calculate the least common multiple of b and o. 35 Let d = 107 - 89. What is the lowest common multiple of d and 190? 1710 Let i(b) = b - 9. Let l be i(10). Calculate the common denominator of 75/2 and (-438)/(-136)*(45/(-27) + l). 34 Let k = 2053/5 + -26454/65. Find the common denominator of k and 31/58. 754 Let w(q) = -q + 1. Let h(z) = -33*z**3 - 5*z + 6. Let v(i) = h(i) - 5*w(i). Let o be v(1). Let m = 103/3 + o. Calculate the common denominator of m and -50/7. 21 Let w = -156 + 180. What is the lowest common multiple of 0/(-1)*1 - -8 and w? 24 Let k = -2180 - -65473/30. Calculate the common denominator of (-1)/1 + 83/(-22) and k. 330 Suppose 4*l - 6 = 2. Suppose 19 = u - 5*b + b, 5*u - 4*b = 15. Calculate the lowest common multiple of l and u - 0 - 6*-1. 10 Suppose -40*o = -37*o - 96. Suppose -2*a = 5*j - 22, 2*j = 3*j - 5*a - 26. What is the least common multiple of o and j? 96 Suppose 3*q - 2*k = -43, 2*k - 1 - 8 = q. Let f = 16 + q. Let d(o) = -8*o**3 + 2*o + 2. What is the least common multiple of 7 and d(f)? 56 Let a(k) = 3*k + 4. Let n be a(-3). Let d be 3964/(-6620) + (-3)/n. Let b = d + 18181/19860. What is the common denominator of b and 59/4? 12 Calculate the common denominator of -23/80 and (-1)/(-1) + (-4626)/2592. 720 Let s be 13*15/6*2 - -4. Let a = s - 55. What is the smallest common multiple of a and 16? 112 Suppose 2*v + 19*p - 14 = 20*p, -2*v - p = -18. Let y(c) = -c - 1. Calculate the lowest common multiple of v and y(-6). 40 Let v = 2/3775 - 358653/52850. Find the common denominator of ((-405)/80)/((-6)/(-8)) and v. 28 Let r(m) = -m**3 - 6*m**2 - 15*m - 22. Calculate the smallest common multiple of 15 and r(-4). 30 Let w = -896 + 12641/14. Let l = 905203/81368 - -2/10171. What is the common denominator of w and l? 56 Suppose 17 = 2*r - y, -r - r + 14 = -4*y. Find the common denominator of (-13)/2*7/5 and 2 + 515/(-90) - (-2)/r. 10 Suppose 0 = x - 3*k + 5, x + 2*k = -4 + 14. Suppose 0*v + 24 = 2*v. Calculate the least common multiple of x and v. 12 Let h(d) be the first derivative of 11*d**3/3 - d**2 + d - 38. Calculate the least common multiple of 6 and h(1). 30 Let y = -5173 + 124171/24. Let a = 4789/4110 - -192/137. What is the common denominator of a and y? 120 Let g = 20 - 45. Let v = g + 43. Let p(x) = 1271*x - 2530. Calculate the least common multiple of p(2) and v. 36 Let b be (-212)/(-18) - ((-80)/36 - -2). Calculate the common denominator of (102/20)/((-4)/(-64)*b) and -3. 5 Let f = -47401397/198 + 718226/3. Let v be -2*(-429)/108 - (1 - -2). Let a = v - f. What is the common denominator of a and -23/6? 66 Let w(k) = 7*k**2 + k + 4. Let z be w(4). Let b = -848 + 6851/8. Find the common denominator of ((-234)/z)/((-9)/42) and b. 40 Let b = 243 - 115. What is the lowest common multiple of b and 10? 640 Let t(j) = -j**3 + 10*j**2 - 9*j + 10. Let p be (1/1)/((-13)/(-104)). Let q be (4 - p - -8) + 5. Calculate the smallest common multiple of 2 and t(q). 10 Let m = 4654 + -83797/18. Let r be 0/2 + 4232 + (29 - 31). Let i = r + -50671/12. Calculate the common denominator of i and m. 36 Suppose -c + 12 = -k - 0*k, -4*k = c + 8. What is the least common multiple of (12/26)/3 - (-256)/26 and c? 40 Let h = 108 - 94. What is the least common multiple of h and 9? 126 Calculate the lowest common multiple of (-106)/(-4) - ((-7)/2)/7 and 57. 513 Let o(u) = -u**3 + 28*u**2 - 95*u + 14. Calculate the smallest common multiple of o(4) and 27. 54 Suppose -6*m + 994 + 86 = 0. Calculate the lowest common multiple of m and 210. 1260 Let v(j) be the first derivative of -3*j**2/2 - 14*j + 4. Let q be v(-6). What is the common denominator of 34/9 and (-98)/(-6) + 2/q? 18 Let n = 74047/3876 + -1130/57. What is the common denominator of 181/60 and n? 1020 Find the common denominator of 10/4*(9 + 10156/(-1160)) and 59/6. 348 Let r(y) = y**3 + 15*y**2 + 5*y + 99. Calculate the least common multiple of r(-15) and 231. 1848 Let u(n) = n**3 + 5*n**2 + 4*n + 6. Let q be u(-4). Suppose 0 = -q*c + 3*c + 6. Suppose 0 = -20*s + 18*s + c. What is the lowest common multiple of s and 1? 1 Let v(n) = n - 1. Suppose 0 = 5*h - 2*i + 37, -2*h - i - 13 = -h. Let j be v(h). What is the least common multiple of (-10)/(-3)*(-12)/j and 10? 20 Suppose 3*v - 52 = -34. What is the lowest common multiple of v and 24? 24 Suppose -9*s = -15*s - 36. Calculate the common denominator of (-2)/(-4) + (-183)/(-84) and (-22)/6 - (-2 - s/4). 84 Let k = 290 + -146. Calculate the common denominator of 4 + -7 + 618/k and -25/9. 72 Let j(r) = -37*r + 160. What is the smallest common multiple of 296 and j(4)? 888 Suppose 0 = 3*r - 9*r - 18. What is the smallest common multiple of (4 - r - 2) + 3 and 21? 168 Let u be (0 - 5/15)*-12. Calculate the least common multiple of 36/126 + u/(-14)*-62 and 4/1*(-2 + 6). 144 Suppose 3*n + 5 = 4*j, 0*n = 5*n - 5*j + 5. Let g be 42/27 - 104/(-234). Suppose 1 = g*u - d - 6, u = 5*d - n. Calculate the lowest common multiple of u and 2. 4 Let h = -6 - -13. Calculate the common denominator of ((-123)/(-15))/((-8)/10) and 118/20 - (8 - h). 20 Calculate the common denominator of 37/64 and ((-20)/(-64))/((-1)/(-30)) + 0. 64 Let s = 7290 + -218657/30. Find the common denominator of -51/10 and s. 30 Let r be -1 + 0 - (-25 - (-13 - -7)). Let w = r - -2. Calculate the smallest common multiple of w and 34. 340 Let i(v) = -390*v**2 + 2*v + 9. Let r be i(5). Let x = r + 155747/16. Calculate the common denominator of x and -17/16. 16 Calculate the common denominator of (-376)/6368*(-2 + 4) and 13/16. 3184 Let t = -194/3 + 121/6. Find the common denominator of (0 - (-291)/(-10)) + 32/(-80) and t. 2 Let b = 18 + 38. Suppose 5*o - b = 54. Let g = o - 6. Calculate the least common multiple of 6 and g. 48 Suppose 7*c = -66 + 10. What is the common denominator of -85/66 and (-2)/c - 45/54? 132 Suppose 8*x - 3*x + 5 = 0. Suppose -4*u + 4 = 5*c, 0*c - 8 = -2*c. Calculate the least common multiple of 6 and 6/2 + x - u. 6 Suppose -2*f - 3*n = 16, -4*n = -3*n + 4. Let j = -2996/99 + 405/11. Calculate the common denominator of (-18)/11*f/(-4) and j. 99 Suppose s + 2*s = 5*a - 20, 5*a - 20 = -3*s. Suppose -v + 10 = -s. What is the smallest common multiple of v and 2? 10 Let g be (-319)/11*(2 - 1). Let h = g - -30. Suppose 4 + 18 = 2*w. What is the least common multiple of w and h? 11 Suppose 1032 - 696 = 8*p. Let y(k) = -k**3 - 9*k**2 + k + 12. What is the least common multiple of y(-9) and p? 42 Let j(r) = 7*r + 224. What is the lowest common multiple of 10 and j(-26)? 210 Let a = -2191/2180 - -6/109. Find the common denominator of 133/90 and a. 180 Let i = 61/42 - 7/2. What is the common denominator of i and 143/6? 42 Let l = 2/53 + 1427/106. Calculate the common denominator of 0 - (15*52/192 - 3) and l. 16 Let h = 33555 + -3019889/90. Calculate the common denominator of h and -117/110. 990 Find the common denominator of 27/8 and -6 + (-28626)/(-5280) + 2/22. 80 Let a = 36 + -35. What is the common denominator of 55/3 and (a - 5)*285/200? 30 Let q be (-392)/(-12) - (-3)/9. Let f(h) = -h**2 - 2*h + 7. What is the common denominator of (q - (3 - 5))/(-9) and f(5)? 9 Let u = -1183 + 627. Let h = 1165/2 + u. Let w = 2335 + -25733/11. What is the common denominator of w and h? 22 Calculate the least common multiple of 30 and 122/3 - 16/24. 120 Let f(w) = 2*w**3 + 10*w**2
{ "pile_set_name": "DM Mathematics" }
q + 2*q - 2*q + (2*q + 3 - 3)*(-4 + 4 + 1) + 4*q + q - 4*q + 5*q - 4*q + 0*q + (18*q - 25*q + 39*q)*(2 - 2 + 1)). -74*q**4 Expand (-5 + 4*i + 5 + (-3 + 4 + 0)*(4*i + 3*i - 5*i) + 0*i + 0*i - i + i + 2*i - 2*i + (0 + 2 + 0)*(3*i + 4*i - 5*i))*(-7 + 4 - 5). -80*i Expand 3*x + 2*x**3 - x**4 + x - 5*x + (x - 2*x + 3*x)*(2*x**3 - 2*x**3 + 4*x**3) + 5*x**4 - 2*x**4 + x**4. 11*x**4 + 2*x**3 - x Expand (-3 - 2 + 6)*(602 - 339 - 651)*(-l + 0*l + 0*l). 388*l Expand (3*q**4 + q**4 - 7*q**4 - 38*q**4 - 6*q**4 + 7*q**4 + (-q**4 + 0*q**4 + 0*q**4)*(-3 + 3 + 2))*(0*q - q + 3*q). -84*q**5 Expand (178 - 2*i - 296149*i**3 - 2*i**4 + 296149*i**3)*(-i - 1 + 1). 2*i**5 + 2*i**2 - 178*i Expand 0 + n**2 + 0 - 2*n**2 - 2*n + 2*n + (-2*n + n + 3*n)*(-n - n + 0*n) + 4*n**2 + 15 + 5*n + 61 - 73. -n**2 + 5*n + 3 Expand (-16 + 7*p - 3*p + 20)*(-2 + 5 - 2)*(-1 + 3 + 2*p + 0). 8*p**2 + 16*p + 8 Expand (24 + 23 - 16*f - 48)*(0 + 0 - f + (f - 4*f + f)*(1 - 4 + 2) + 3*f + 1 - 1). -64*f**2 - 4*f Expand -c**2 + 2 - 2 + ((3 - 4 - 2)*(9 - 9 - 2*c) + 4*c + c - 4*c + (0*c + 2*c - c)*(-1 + 1 + 2) + 2*c - 4 + 4)*(c + 4*c - c). 43*c**2 Expand (0*l**2 - 2*l**2 + 0*l**2)*(2*l + 0 + 0) + (10*l**3 - 61*l**2 + 61*l**2)*(0 + 0 - 3). -34*l**3 Expand (515 + 618 - 1914 - 1921)*(-1 + 2*f - f**2 + 1). 2702*f**2 - 5404*f Expand 2*h**3 - h**3 + 0*h**3 + (0*h - h + 4 - 6)*(36*h**2 + 66 - 66). -35*h**3 - 72*h**2 Expand (-222*s - 362*s + 306*s)*(0*s**2 + 3*s**2 - 2*s**2)*(-7*s - 3*s**2 + 7*s). 834*s**5 Expand (-7 + 3 + 3)*(x + 1 + 2*x**2 - x). -2*x**2 - 1 Expand (0 + 0 - 4*a)*(3*a - 772 + 0*a + 4*a**2 + 774). -16*a**3 - 12*a**2 - 8*a Expand (-5*o**2 + 2*o**2 + 0*o**2)*(-6*o + 5*o - o) - o**3 + 0 + 0 - 636 - o - 4*o**3 - 4*o + 635. o**3 - 5*o - 1 Expand 0 + 0 - b + (-2*b + 5*b - b)*(-2 + 3 + 0) - 23*b - 9*b + 11*b + 3*b - b + 2*b. -16*b Expand (5*h**2 - 4*h**2 - 2*h**2)*(-23 + 768*h + 774*h - 1543*h). h**3 + 23*h**2 Expand (-3*h + 0*h + 2*h)*(-h**4 + 2*h**4 + h**4) - h**5 + 3*h**5 - 3*h**5 + (-2*h + 2*h + h**4)*(0*h - h - h) - 15*h**5 - 39*h**5 + 182*h**5. 123*h**5 Expand -2 + 2 + 5*m + (-5 + 4 - 1)*(-5 + 5 - 12*m). 29*m Expand (-4 - 1 - 3)*(5*y**3 + 4*y**3 - y**3) + (-2*y + 0*y + y)*(1 + 1 - 4)*(7*y**2 - 4*y**2 + 3*y**2). -52*y**3 Expand -84*y**4 - 14*y**4 - 13*y**4 + 42*y**4 + (2*y - 2*y - 2*y)*(-2*y**3 - 6*y**3 + 4*y**3). -61*y**4 Expand (-4*p + p + p)*(3*p + p - p) + 0 - 2*p**2 + 0 + (3 + 1 - 6)*(-4*p**2 + 4*p**2 - p**2) + 1 - p**2 - 1 - 15 + 15 - 3*p**2 - p + 2*p**2 + p. -8*p**2 Expand (-3*x**2 + 4*x - 4*x)*(0 + x**2 + 0 + (5*x**2 + 39*x**2 + 12*x**2)*(1 - 2 - 1) - 2*x + x**2 + 2*x). 330*x**4 Expand (1 - 2 - 1 + (2 + 0 - 1)*(-4 - 2 + 4) + 4 - 1 + 0)*(-6*t + 20*t - 15*t). t Expand (-4*w - w + 3*w)*(-5*w**2 - 7*w**2 - 4*w**2) + 6*w**3 + 11*w**3 - 6*w**3 + 3 + 2*w**3 - 3. 45*w**3 Expand (4*u + 11*u - 14*u)*(-1 - 3 + 2) + (19 - 3*u - 19)*(0 - 2 + 5). -11*u Expand (-6*z - 9 + 9)*(0*z**2 + z**2 - 4*z**2) + 0*z**3 - 2*z**3 + 0*z**3 + z**3 + 7 - 7 + (-z + 0*z - z)*(-2*z**2 + 0*z**2 + z**2). 19*z**3 Expand (-6 + 6 - 13*q)*((-3*q**3 + 3*q**3 - 3*q**3)*(1 - 5 + 0) + (-7 + 1 + 4)*(0 + 0 - 2*q**3) - q**3 + q**3 - q**3 - 3*q**3 + q**3 + q**3). -182*q**4 Expand (-6*z + 3*z + 2*z)*(-3*z + 5*z + 0*z) + 0*z**2 - 5*z**2 + 2*z**2 - 8 + 156*z**2 - 315*z**2 + 154*z**2. -10*z**2 - 8 Expand (1 + 2 - 1)*(2*o + 3*o - 2*o) + o - 4 + 4 + (0 - o + 0)*(4 - 3 - 5). 11*o Expand 3*h + h - 2*h - 2*h + 2*h - 6*h + (-h + 0*h - h)*(3 + 0 - 4) + 2*h - h - 2*h. -3*h Expand (2 - 3 + 0)*(16 - 7*x + 2*x + 7*x). -2*x - 16 Expand (4*x - 4*x**2 - 6*x**2 - 2 + 8*x**2)*(-12 - 2*x + 10 + 7). 4*x**3 - 18*x**2 + 24*x - 10 Expand (3*s**3 + 110*s**2 - 55*s**2 - 50*s**2 + 2*s**4)*(2 - 1 + 0). 2*s**4 + 3*s**3 + 5*s**2 Expand (-34*d - 2*d**3 + 34*d)*(-3 + 3 - 2)*(2*d - d + d - 3 + 3 - d + (-1 + 2 + 3)*(-d - 2 + 2)). -12*d**4 Expand 78*d**5 - 36*d**5 + 38*d**5 + (-4*d**2 + 4*d**2 - d**3)*(2*d**2 - 2*d**2 + d**2). 79*d**5 Expand 2*g**2 + 1 - 1 + (-2*g + 1 - 1)*(-243*g - 258*g + 132*g). 740*g**2 Expand -9*u - 11*u - 6*u + (1 + 0 - 2)*(u - 4*u + 4*u) - 3*u - u + 2*u - u + u - u + 4*u + 3 - 3 - 1 + 1 + u + (2*u + 2*u - 3*u)*(3 - 2 + 1) + u + 0 + 0. -22*u Expand (-11*c - 17*c + 10*c)*(-4 + 0 + 5) + 16*c - 21*c - 11*c. -34*c Expand (0*u + 0*u + u - 1)*(-132*u + 93*u + 70*u). 31*u**2 - 31*u Expand ((-2*x - 4 + 4)*(-3*x**2 + 3*x - 3*x - x) + x**3 + 4*x**3 - 6*x**3)*(0*x**2 - 5*x**2 + 3*x**2). -10*x**5 - 4*x**4 Expand (-31*a**2 + a**2 - 6*a**2)*(-a**3 + 2*a**3 + a**3) + (-2*a**3 + 2*a - 2*a)*(-2*a**2 + 6*a**2 - 2*a**2). -76*a**5 Expand (-3*k + 0*k + k)*(-5 - 2 + 4) + 2*k + 2*k - 2*k + (-k + 0*k + 0*k)*(5 - 2 - 2) + (-2*k + 1 - 1)*(-1 - 1 - 1). 13*k Expand (0 + 1 + 0)*(-2 + 2 + h) + 6*h - 4*h + 0*h + (-4 + 5 + 0)*(h - 4*h + 2*h) + 3*h - 2 + 2. 5*h Expand (a**4 + 0*a + 0*a)*(-43*a - 37*a - 12*a). -92*a**5 Expand (-2*i + i + 3*i + 6*i - 4*i - 3*i + (-5*i + 2*i + i)*(0 + 3 + 0))*(-85 - 2*i**2 + 85). 10*i**3 Expand ((2*y - 3*y + 3*y)*(-2 + 0 + 0) + y + 0*y + 4*y)*(-3 - 2 + 6)*(-2 - 3 + 9). 4*y Expand (5*q + 17*q + 2*q)*(0*q**2 + 4*q**2 - 6*q**2) + (6*q + 0*q - 4*q)*(-2*q - 7*q**2 + 2*q). -62*q**3 Expand 4*s**2 + s**5 - 4*s**2 + (1 + 2*s - 1)*(89*s**4 + 623*s - 623*s + (0*s - s - s)*(-2*s**3 + 0*s**2 + 0*s**2)). 187*s**5 Expand 2*s**5 + 3*s**5 - 3*s**5 + (-3 - s + 3)*(3*s - 4*s + 8*s)*(3*s + 6*s**2 - 6*s**2 + 2*s**3). -12*s**5 - 21*s**3 Expand ((o - o + 2*o)*(2*o + 0*o + 0*o) + 3*o**2 - o**2 + 3*o**2 + 4*o**2 - 8*o**2 - 3*o**2)*(o**3 + 0*o**3 + o**3). 4*o**5 Expand 13261*u**2 + 87*u**4 + 2 - 13261*u**2 + 2*u**4 - 2*u**2 + 2*u**2 + (1 + 3 - 2)*(2*u**2 - 2*u**2 + 2*u**4). 93*u**4 + 2 Expand 4 + 161*d**2 - 4 + 4*d - 4*d - 2*d**2 - 2*d**2 + 0*d**2 - 2*d**2 - 2*d**2 + 2*d**2 + (-1 + d**2 + 1)*(-1 + 4 - 2). 156*d**2 Expand (-c**2 - 3*c**2 + 2*c**2)*(2*c**3 + 2*c**3 - 3*c**3) + c**5 - 4*c**5 + 2*c**5 + (-3*c**2 + 2*c**2 - c**2)*(10957*c**2 + 486*c**3 - 10957*c**2). -975*c**5 Expand (7*c**3 - c**3 - c**3)*(-5*c + 5*c + c**2) - 2*c**5 + c**5 - c**5 - c**5 - 3*c**5 - 11*c**5. -12*c**5 Expand (0*a - a + 3*a)*(0 - 1 + 4)*(-40*a**3 - 10*a**3 + 5*a**3). -270*a**4 Expand 1703 - 1703 + 65*s**5 - 13*s**2 + 5*s**5 + 13*s**2 + (-4 + 4 - 2*s)*(6*s**4 - 3*s**4 - 2*s**4). 68*s**5 Expand (-r - 2*r**2 + r + (-1 + 0 + 2)*(r**2 - r**2 - 2*r**2) + 0*r**2 - 3*r**2 + r**2)*(7 - 3 + 4)*(5*r + 2 - 13*r - r). 432*r**3 - 96*r**2 Expand (2 + 3 - 7)*(2*n + 2 - 2) - 2*n - 3*n + 3*n + 473*n - 341*n - 271*n. -145*n Expand (-2*j**2 - j**2 + 5*j**2)*(j - 4*j + 0*j)*(146 + 120 - 30). -1416*j**3 Expand (-2*y + 0*y + 3*y)*(-8*y + 0*y - 3*y) + 3*y**2 + 2*y - 2*y. -8*y**2 Expand (0 + 2 - 1)*(-2*r - r + 5*r) - 149*r + 314*r + 301*r. 468*r Expand 9213*i**3 + 2*i - 9213*i**3 + 2*i**4 - 27*i**2 - 2 - 3 + 3 - 2*i**4 + (3*i - i - i)*(-i**3 + 4*i**3 - 2*i**3). i**4 - 27*i**2 + 2*i - 2 Expand (6*m - 2*m + 3*m)*(-52*m**3 - 42*m**3 + 105*m**3) + (-3 + 2 - 1)*(-4*m**4 + 0*m**4 + 3*m**4) + 0*m**4 + 2*m**4 - m**4 + 3*m**3 - 3*m**3 + m**4. 81*m**4 Expand 0*y**3 + 0*y**3 + 7962*y**4 - 6233*y**4 + 2*y**4 + 5*y**2 - 5*y**2 + (3*y**2 - 2*y**2 - 2*y**2)*(-y**2 - 3*y**2 + 3*y**2). 1732*y**4 Expand (-91*m - 96*m + 223*m)*(m**3 + 0*m + 0*m) + m**4 + m - m. 37*m**4 Expand (-q - 2 + 2)*(-3 + 1 + 0) - q - q + 5*q + (2 + 0 - 4)*(3*q - 3 + 3). -q Expand (11 - 11 + 6*o + (-2 + 0 + 1)*(-3*o + 4*o + 3*o))*(-o - o + 3*o). 2*o**2 Expand (r**3 + 0*r**3 - 3*r**3)*(-2*r + 5*r - r - 2*r + 2*r + 5*r - 5*r + 4*r + 2*r + (2 + r - 2)*(0 + 0 + 2) - 8*r + 7*r - 2*r). -14*r**4 Expand (-2 + 1 + 0)*(3*z - z + 0*z) + 456*z + 1502 + 1499 - 3001. 454*z Expand (19*s - 64 + 64)*(-s + 5 + 0 - 4). -19*s**2 + 19*s Expand (3 - q**2 - 3)*(-1 - q**3 + 1) - 2 + 4 - 1011*q**5 - 4. -1010*q**5 - 2 Expand 3*z - z + 2*z - z - 2*z + 4*z + (-5*z + z + 2*z)*(2 + 3 - 3) + z + 4 - 4 - 24*z - 19*z + 9*z. -32*z Expand (-2 + 4 - 6)*(-1 + 2 - 10)*(2 - 2 + 5*r). 180*r Expand (22 - 5 - 11)*(1 + 0 + 2)*((1 + 1 - 4)*(0 - 4 + 3) - 4 + 4 + 2)*(-2*x**2 + x**2 + 4*x**2). 216*x**2 Expand (0 + 0 - 2)*(2*q**4 + 2*q**4 - 3*q**4) + (-707*q**3 - 760*q**3 + 1526*q**3)*(-3 - 2*q + 3). -120*q**4 Expand (3*u + 3*u**2 - 3*u + (11 - 4 - 3)*(3*u**2 + 0*u**2 - 2*u**2) - 21 + 5*u**2 + 21)*(u + 2*u - 5*u). -24*u**3 Expand (1 + 2 - 2)*(3*z + 3*z - 4*z) + 97*z + 1934*z + 165*z. 2198*z Expand (5 + 2 -
{ "pile_set_name": "DM Mathematics" }
-0.03315 What is the nearest to -2 in 3144, -12, 0.1? 0.1 What is the nearest to 2/5 in 7, 3/8, -0.4, 2.7? 3/8 What is the closest to -53 in 3/7, -5, 0, -32? -32 What is the nearest to -0.51 in 2/3, 3, -12, -3, -1? -1 What is the closest to 233 in -11, 5, 2, 3? 5 Which is the nearest to -0.47? (a) 79 (b) 1 (c) -2 b What is the nearest to -3/7 in -0.03, 2/9, 1/5, 3/2? -0.03 What is the nearest to 0 in -2/13, -903, -31, 0.5, 0.2? -2/13 Which is the nearest to -2/3? (a) -0.5 (b) 317 (c) -3 (d) 66 a Which is the nearest to 24? (a) -6/5 (b) 52 (c) -2 a What is the closest to -1 in 3, 26/53, -9, 0.2? 0.2 Which is the closest to -1/2? (a) -1 (b) 36 (c) 0.22 a What is the closest to -1/5 in 82, 0.5, 3/4, -8/7? 0.5 Which is the closest to 1/4? (a) 0 (b) 0.036 (c) -3/8 (d) -1/2 (e) 4/3 b Which is the nearest to 104? (a) -6 (b) 2/3 (c) 0.3 (d) -187 (e) 0.5 b Which is the nearest to 2? (a) -52 (b) -1/4 (c) 6 (d) -0.2 (e) 2/9 e What is the closest to 0.0032 in -5, -3, 1, 5.9? 1 What is the closest to -1/62 in 4, -2/11, 6, 15? -2/11 Which is the nearest to -14/3? (a) -36 (b) 0.1 (c) -2 (d) 5 c Which is the nearest to -0.02? (a) 29 (b) 0.06 (c) -3/61 (d) -0.4 c What is the nearest to 0.04 in -23, 0.1, -0.4, 23? 0.1 Which is the nearest to 2/17? (a) 3/2 (b) 1/3 (c) -0.031 (d) 0.5 (e) -2 c What is the closest to 0 in -0.4, 1/3, 1/78, 41/3? 1/78 What is the closest to -2/3 in -2/7, -1/117, 62? -2/7 What is the closest to -6/13 in 3, 2, -20.592? 2 What is the nearest to 1/18 in -2/5, 63, 2/5? 2/5 What is the nearest to 69 in 58, 16, 1? 58 Which is the closest to 3/5? (a) -4 (b) -1 (c) 25/2 (d) -3/2 (e) -5 b Which is the closest to -1/4? (a) 2/19 (b) -5 (c) 25.9 (d) -0.3 (e) -1/12 d What is the closest to 13/2 in 6, 4, -3/4? 6 Which is the closest to -3/20? (a) 0 (b) 0.075 (c) -0.5 (d) 0.1 a Which is the closest to -0.37? (a) 46 (b) -2/15 (c) -2/7 (d) 0.4 c Which is the closest to 0? (a) 0.20174 (b) 2/15 (c) -2/7 b Which is the nearest to -1? (a) 2/85 (b) -24/7 (c) -5.9 a Which is the closest to -29? (a) 0 (b) -2/7 (c) -1/2 (d) 5/3 (e) 4 c Which is the closest to 3? (a) -0.1 (b) -50 (c) -5 (d) -14 (e) -3/4 a Which is the closest to 2? (a) 375 (b) -3.4 (c) -32 b Which is the nearest to 0.01? (a) 0.03 (b) 3 (c) 1.3 a Which is the nearest to -1/4? (a) -8.6 (b) -1/3 (c) -5 (d) 19 b What is the nearest to 2/3 in 87, 32.57, 5/6? 5/6 What is the nearest to 0 in 0.25, -4, -1, 40? 0.25 Which is the closest to 25? (a) -2 (b) -1/2 (c) 27 c Which is the closest to -1/27? (a) -2/5 (b) -4 (c) -0.69 a Which is the closest to 80? (a) 14/51 (b) -5 (c) -0.3 a What is the nearest to -0.05 in 0.3, -0.25, 1/13? 1/13 What is the closest to 9/14 in -151, 2, -3, 5, -0.7? -0.7 Which is the closest to -8/19? (a) -1 (b) -3/7 (c) -0.4 b Which is the closest to 0.04? (a) -4 (b) 29/8 (c) 5 b What is the closest to -3 in -1/4, -10, 1, 1/4, -0.3? -0.3 What is the nearest to 0 in 0.18, -0.2, -5, 3? 0.18 Which is the closest to 8.69? (a) 1 (b) 1/2 (c) -2 (d) -3 (e) 2/23 a What is the closest to -2/3 in 18/25, 23, 3? 18/25 Which is the nearest to 0? (a) 0.5 (b) 32 (c) -331 a What is the nearest to 1 in 4, 1/3, -14, 130? 1/3 Which is the nearest to -16? (a) -4 (b) -327 (c) 4 (d) 2 (e) -0.5 a Which is the nearest to 0? (a) -15941 (b) -2 (c) -9 b Which is the closest to 0.07? (a) -0.5 (b) 5.48 (c) -1 (d) 2 a Which is the closest to 4/5? (a) -6/11 (b) 1 (c) -1/2 (d) -0.008 (e) -1/5 b Which is the nearest to -1? (a) -4 (b) 0 (c) 970 (d) -0.175 d What is the closest to -1/3 in -4/7, -12/47, -0.2, 69? -12/47 Which is the closest to -0.023? (a) -2 (b) -26 (c) -3/5 (d) -0.1 (e) -0.5 d What is the closest to 321 in -1, 3, -2/15, 1/3, 5? 5 What is the closest to -2/15 in 0.461, -3, -9? 0.461 What is the nearest to -0.244 in -17, -5, -0.1? -0.1 Which is the closest to -0.0227? (a) -0.2 (b) 3 (c) -5 a Which is the nearest to 0? (a) 0.144 (b) -2/11 (c) 1/16 c Which is the nearest to 1/5? (a) -15 (b) 63.6 (c) -2/7 (d) 1 (e) -2/3 c Which is the nearest to 85? (a) 70 (b) 2/5 (c) -1/3 (d) 0 a Which is the nearest to 968? (a) -5 (b) 0.3 (c) -0.4 (d) 1/8 b What is the closest to 4/5 in -2, -1/6, 0.01, -5/3, 4? 0.01 What is the closest to -19/107 in -1, -0.09, -0.3? -0.09 Which is the nearest to -226? (a) -2 (b) -0.5 (c) -0.1 (d) -8 d What is the closest to -3 in -1, 6, 2/7, 1306? -1 What is the nearest to 4.5 in -0.3, 0.055, -5? 0.055 What is the nearest to 2/9 in -1404, -3.4, -6/5? -6/5 Which is the closest to 0.001? (a) 0.1 (b) -0.2 (c) -566 (d) -3 (e) -0.3 a What is the closest to -4 in 4, -9, 7, -0.1? -0.1 Which is the closest to 0.1? (a) -1/7 (b) 2 (c) -5/6 (d) 0.72 (e) -4 a What is the closest to 1/13 in -1/2, 4, 36? -1/2 What is the closest to -0.1 in -1/9, 5, -2.1, -1, -490? -1/9 Which is the nearest to 1/2? (a) 341 (b) 7 (c) 5 c What is the closest to 2 in 0.08, 2/5, -49, -1/8, 5? 2/5 Which is the closest to 4? (a) 20/21 (b) 1.9 (c) 0.5 (d) -2 (e) 0 b Which is the nearest to -0.7? (a) 0.066 (b) 5 (c) 0.3 (d) -0.3 d Which is the closest to 1/3? (a) 2/9 (b) -4 (c) 0.2 (d) 1465 (e) -6 a What is the closest to -89 in -4, -3, 8/5? -4 What is the closest to 0 in 0, 343, 0.1, -4/91, 0.2? 0 Which is the closest to -18/11? (a) 91 (b) -2 (c) 0.15 b What is the closest to -6 in -14, 7, 0? 0 What is the nearest to -0.3 in 1635, -3, -25, -5? -3 Which is the nearest to -1/8? (a) 7 (b) 0.13 (c) -0.5 (d) 0.4 (e) 10 b What is the closest to 0.1 in 5, 587, -21/5? -21/5 Which is the nearest to 2? (a) 2 (b) -116 (c) 15/4 (d) 8 a What is the nearest to -1/3 in 0.39, -7, -0.1? -0.1 Which is the nearest to 10? (a) -4 (b) 0 (c) 2/3 (d) -13 c Which is the nearest to -64/15? (a) 3 (b) -9 (c) 140/11 b Which is the nearest to 1/4? (a) 0.403 (b) 1/3 (c) -148 b Which is the nearest to -923? (a) -0.2 (b) 0.5 (c) -3 (d) -4/7 c What is the nearest to -0.03 in -5, -6, 1, 0? 0 Which is the closest to -2? (a) 111004 (b) 1 (c) 0.3 c Which is the closest to -132? (a) -2 (b) 10 (c) -7 c Which is the nearest to -1? (a) 37 (b) 5 (c) 0.4 (d) 3 c What is the closest to -2.6 in 1, 1/4, 15, 3, 0.227? 0.227 Which is the closest to -1? (a) 1 (b) -2/7 (c) 82/35 (d) -4 b What is the closest to -571 in -1, 40, 2/7? -1 What is the closest to 0.1 in -4, 4.23, 57, -0.5? -0.5 What is the closest to 0.1 in 205, -0.11, -0.4, 0.3? 0.3 Which is the closest to -334? (a) 2 (b) 0.11 (c) -1/3 c Which is the closest to -2/11? (a) 90003 (b) 1/3 (c) 6 b Which is the nearest to 2? (a) 1/4 (b) 0.2 (c) -11 (d) 61 a Which is the nearest to 0? (a) 0 (b) -0.01 (c) -0.038 a Which is the closest to 33519? (a) -1 (b) 0 (c) -5 b Which is the closest to 8? (a) 2/9 (b) -0.09 (c) -3/7 (d) -4 (e) -2 a Which is the closest to 1? (a) 0.5 (b) 81.5 (c) 4 (d) 12 (e) -4 a Which is the nearest to 4/3? (a) 6 (b) -2 (c) 0 (d) -0.08 (e) 0.5 e What is the nearest to -0.029 in -1, -0.1, 5, 4, -2.1? -0.1 What is the closest to -1/2 in -0.1, 13.3, -1.6? -0.1 What is the closest to 1 in -0.77, 116, -2/3, -3/5? -3/5 What is the closest to -26 in -1/83, 0.5, -2.1, -5, -3? -5 What is the nearest to -1/2 in 1/3, 11.1, 1/18, 0? 0 What is the closest to 178 in -1, -2, -3/8, 0.5? 0.5 What is the nearest to 0.1 in -3, 23, 3.28? -3 Which is the closest to 0.1? (a) -0.09 (b) -2 (c) 5 (d) 0 (e) -0.2 d Which is the nearest to 6? (a) -0.1 (b) -2 (c) 0.09 c Which is the closest to 2/49? (a) 5 (b) -0.02 (c) 0.03 (d) 1/2 (e) -5 c Which is the nearest to -83? (a) 915 (b) 5 (c) 0.5 c What is the nearest to -2 in 0.2, -5, 0.382? 0.2 What is the closest to -1/8 in -1/85, -0.4, 0, -4/25, 1/3? -4/25 Which is the nearest to 0.1? (a) 0 (b) 1/2 (c) -8 (d) 0.4 (e) -3/40 a What is the closest to -133 in -1/5, -5, -11? -11 Which is the nearest to 1/111? (a) 0.3 (b) -45 (c) 6/17 (d) -3 a Which is the nearest to 3? (a) 18 (b) -36 (c) -49/3 a What is the closest to -16 in -3/13, 0.04, -3, -2/21, -2/35? -3 Which is the closest to -0.1? (a) -10.4 (b) 2/99 (c) -1/2 b What is the nearest to 5 in -2, -0.92, -0.1? -0.1 Which is the closest to 1? (a)
{ "pile_set_name": "DM Mathematics" }
-2123*h + 2123*h + 9*h**2. 9*h**2 Collect the terms in -22*g**2 + 76*g**2 - 31*g**2 + 43*g**2. 66*g**2 Collect the terms in -43931*r**3 + 21974*r**3 + 21964*r**3. 7*r**3 Collect the terms in -45*w - 40*w + 1 + 116*w + 1 - 82*w. -51*w + 2 Collect the terms in 58200845 + 2*l - 58200845 - 8*l. -6*l Collect the terms in 0*w + 14*w + 2*w + 650 - 633. 16*w + 17 Collect the terms in -7*p**3 - 21349*p + 21349*p + 5*p**3. -2*p**3 Collect the terms in -2 + 138*c + 57*c + 10*c + 360*c + 123*c. 688*c - 2 Collect the terms in 138*n - 227*n - 1 + 1 + 142*n. 53*n Collect the terms in -26*b**2 - 29*b**2 - 260094*b + 260097*b. -55*b**2 + 3*b Collect the terms in 3*m + 6*m - 8*m - 557*m**2. -557*m**2 + m Collect the terms in 224 + 116 - 340 + 3*d. 3*d Collect the terms in 1735 + 1185 - 3*z + 0*z + z. -2*z + 2920 Collect the terms in 5800*r**3 - 5762*r**3 - 6*r**2 + 3*r**2 + 3*r**2. 38*r**3 Collect the terms in -1323*z**3 + 2617*z**3 - 1313*z**3. -19*z**3 Collect the terms in 23 - 23 - 1728*b**2 + 2541*b**2. 813*b**2 Collect the terms in -6*t - t + 7*t + 760*t**3. 760*t**3 Collect the terms in -20*o + 2 - 23*o - 19*o - 2. -62*o Collect the terms in -j**2 + 321*j - 321*j + 8 - 39. -j**2 - 31 Collect the terms in 0*y**3 + 6*y + 2*y + 11*y + 16*y**3. 16*y**3 + 19*y Collect the terms in 4*m**2 + 10*m + 5 - 12 + 13. 4*m**2 + 10*m + 6 Collect the terms in 70*k**3 - 532 + 532 - 106*k**3. -36*k**3 Collect the terms in 9530*p**2 - 9530*p**2 + 1295*p**3. 1295*p**3 Collect the terms in 502*t - 252*t - 198*t**2 - 250*t. -198*t**2 Collect the terms in -143*h**2 + 322*h**2 - 188*h**2. -9*h**2 Collect the terms in -3 - 135*o + 3 + 142*o. 7*o Collect the terms in -7*x + 64*x + x + 97*x - 18 + 4. 155*x - 14 Collect the terms in 6*l**2 + 2*l**2 + 4*l**2 - 4*l**2 + 3*l**2. 11*l**2 Collect the terms in 7 - 7 - 2*x + 10 - 6. -2*x + 4 Collect the terms in -6093*w + 636*w + 1748*w - 3123*w. -6832*w Collect the terms in 1708*y + 4848*y - 1151*y. 5405*y Collect the terms in -515*u - 462*u - 12*u + 278*u. -711*u Collect the terms in -8438*w**2 + 3958*w**2 + 4498*w**2. 18*w**2 Collect the terms in 21*b**2 + 0*b**3 - 2*b**3 + 58*b**2 - 79*b**2. -2*b**3 Collect the terms in -603*l**2 + 13*l - 11*l + 50*l. -603*l**2 + 52*l Collect the terms in 414*j**2 - 851*j**2 + 396*j**2. -41*j**2 Collect the terms in -4191*u + 4191*u - 11*u**3. -11*u**3 Collect the terms in 0*j + 6*j**2 - 16*j**2 - 12*j**2 - 19*j. -22*j**2 - 19*j Collect the terms in 4101*d + 4088*d - 8164*d. 25*d Collect the terms in 8002*m + 7152*m - 1624*m. 13530*m Collect the terms in 0*i + 17*i + 40*i. 57*i Collect the terms in 101 - 5867*g**2 - 101 + 5863*g**2. -4*g**2 Collect the terms in -185*h - 112*h - 96*h + 39*h. -354*h Collect the terms in -9 - 41*b**3 - 34*b**3 + 25*b**3 + 9. -50*b**3 Collect the terms in b - 97 + 483 - 281 - 105. b Collect the terms in -22 + 19 + 22 - 19 - 335*s**3. -335*s**3 Collect the terms in 7 + 22 - 79*u + 77*u. -2*u + 29 Collect the terms in -882*r**3 + 1551*r**3 - 670*r**3. -r**3 Collect the terms in -829*u**2 + 171*u + 177*u - 347*u. -829*u**2 + u Collect the terms in p**2 - 263 - 284 + 3*p**2 - 3*p**2. p**2 - 547 Collect the terms in 19*s**3 - 11*s**3 + 61 - 9*s**3. -s**3 + 61 Collect the terms in 264*b - 109*b - 282*b. -127*b Collect the terms in -19 - 570*n - 17 - 284*n - 4. -854*n - 40 Collect the terms in 3*a**2 - 27205 + 27205. 3*a**2 Collect the terms in 21 + 7*y**2 + 19 + 23 - 87 + 21. 7*y**2 - 3 Collect the terms in 38*t + 685218 - 685218. 38*t Collect the terms in -3124*a - 3030*a + 6153*a. -a Collect the terms in -42 + 114 - 39 - 33 + 218*z**2. 218*z**2 Collect the terms in -3 + b**3 + 31 + 2*b**3 + 38. 3*b**3 + 66 Collect the terms in 3*w + 5*w - 2*w - 4*w + 2*w + 1. 4*w + 1 Collect the terms in 51549 - k**3 - 25777 - 25774. -k**3 - 2 Collect the terms in -7 + 43*v - 43*v + 5 - 38*v**2. -38*v**2 - 2 Collect the terms in -1971 - 2109 - 3*i**3 + 4080. -3*i**3 Collect the terms in -a - 285 + 68 + 70 + 67 + 66. -a - 14 Collect the terms in -2*y - 3*y + 3*y - 9*y - 27*y + 45*y. 7*y Collect the terms in -4 + 4 + 252*w**3 - 3763*w**3. -3511*w**3 Collect the terms in -8*m**3 - 477 + 5*m**3 + 0*m**2 - m**2. -3*m**3 - m**2 - 477 Collect the terms in -181*f + 17*f - f**3 - 2*f**3 + 2*f**3 - 43*f. -f**3 - 207*f Collect the terms in -9*q**3 + 8*q**3 - 159*q + 187*q - 94*q - q**3. -2*q**3 - 66*q Collect the terms in -50 + 100 - 2139*d**2 - 45 + d**3. d**3 - 2139*d**2 + 5 Collect the terms in 94*s**3 - 194*s**3 + 98*s**3 - 9*s. -2*s**3 - 9*s Collect the terms in -163*b**2 + 112*b**3 + 163*b**2 - 105*b**3. 7*b**3 Collect the terms in 10*g + 825 + 892 - 1717. 10*g Collect the terms in -12*g**2 + 19*g**2 + 2*g**2 + 9*g**3. 9*g**3 + 9*g**2 Collect the terms in -239*b - 7 + 2 - 20 - 4. -239*b - 29 Collect the terms in 4*n + 2*n + 1077*n**3 - 6*n. 1077*n**3 Collect the terms in -379*b**3 - 187*b**3 + 568*b**3. 2*b**3 Collect the terms in -133*v + 21*v + 37*v + 43*v + 35*v. 3*v Collect the terms in 63 - 63 + 89*i**2 - 384*i**2. -295*i**2 Collect the terms in -651*t**2 - 1628*t**2 - 659*t**2 - 687*t**2. -3625*t**2 Collect the terms in -17 + 259*p**2 + 351*p**2 + 16. 610*p**2 - 1 Collect the terms in -5 - 6 - 1 + 12 - 117*b**2. -117*b**2 Collect the terms in 147*v**2 - 147*v**2 - 2*v**3 - 113 - 620. -2*v**3 - 733 Collect the terms in -5*r - 51*r - 80 + 3*r + 83. -53*r + 3 Collect the terms in 1503 + 2004 - 3507 + 15*b**2. 15*b**2 Collect the terms in -7*t**2 + 27*t + 26*t + 16*t - 69*t. -7*t**2 Collect the terms in 1021 + 362 + 178 - 5*l. -5*l + 1561 Collect the terms in 705*w**3 - 237*w**3 - 236*w**3 - 233*w**3 + 45 - 45. -w**3 Collect the terms in -118*m + 161*m + m**3 - 43*m + m**3. 2*m**3 Collect the terms in -11*i + 13*i**2 - 6*i**2 + 21*i - 42*i. 7*i**2 - 32*i Collect the terms in 60*r - 68*r + 17*r. 9*r Collect the terms in -u**2 + 4*u**2 - 6*u**2 + 22*u**2 + 7*u**2. 26*u**2 Collect the terms in 1546 - 359 - 24 + s + 2012. s + 3175 Collect the terms in 561*r**2 - 22 + 51 - 29. 561*r**2 Collect the terms in -5*g**2 - 16*g**2 + 47*g**2 - 1 - 16*g**2. 10*g**2 - 1 Collect the terms in -14*m + 14*m - 190 - m**2 + 8*m**2. 7*m**2 - 190 Collect the terms in 28 - 25 + 5*o + 23*o - 3. 28*o Collect the terms in -4074433*p + 3*p**3 + 4074433*p. 3*p**3 Collect the terms in 26*r**2 - 33*r**2 + 13*r**3 + 8*r + 20*r - 28*r. 13*r**3 - 7*r**2 Collect the terms in 2202*g + 3 - 3 - 730*g. 1472*g Collect the terms in -10 - 17 + 17 + 4*r**3 + 10. 4*r**3 Collect the terms in -9*k + 2*k + 10*k**2 - 3 + 9 + 11*k. 10*k**2 + 4*k + 6 Collect the terms in 111*q + 5 + 7 - 220*q + 110*q - 12. q Collect the terms in 108*u**3 - 198*u**3 + 110*u**3. 20*u**3 Collect the terms in 111*z**3 + 204*z**3 + 0*z**3. 315*z**3 Collect the terms in 2*y**3 - 5*y**3 + 0*y**3 - 39*y - 20*y + 39*y. -3*y**3 - 20*y Collect the terms in 14*c**2 + 10*c**2 - 227*c**3 - c - 24*c**2. -227*c**3 - c Collect the terms in 28*s - 85*s + 17*s. -40*s Collect the terms in -5*i - i - 203 + 2*i + 2*i + 211. -2*i + 8 Collect the terms in 116 + 2*y**2 - 65 - 51 + 0*y**2. 2*y**2 Collect the terms in -19022*b**3 - 943 + 943. -19022*b**3 Collect the terms in 198859 + 2*z**2 - 2*z - 198859 + 2*z. 2*z**2 Collect the terms in -12 + 12 - 1009*z**2 - 569*z**2. -1578*z**2 Collect the terms in 12*x**3 + 30*x**3 + 24*x**3 - 154*x + 153*x. 66*x**3 - x Collect the terms in 31*g - 12*g - 19*g - 166*g**3. -166*g**3 Collect the terms in -1 + 97*m - 41*m**2 + 1 + 37*m**2. -4*m**2 + 97*m Collect the terms in -19*z + 117*z - 33*z - 45*z - 19*z. z Collect the terms in 4 - 2 + 6*w**2 + 69*w + 3*w**3 + 25*w**3. 28*w**3 + 6*w**2 + 69*w + 2 Collect the terms in 70509*g - 26 - 35255*g - 35254*g + 92 - g**2. -g**2 + 66 Collect the terms in 71 - 84 - d**3 - 7*d**3. -8*d**3 - 13 Collect the terms in -664*s + 823*s - 96*s - 938*s. -875*s Collect the terms in 0*m**2 - 3394423 + 0*m**2 - 376*m**3 + 3394423. -376*m**3 Collect the terms in 14165*m - 2806*m + 2089*m. 13448*m Collect the terms in 9676*f + 3963*f - 265*f + 2623*f. 15997*f Collect the terms in 77 + 55 - 191 - q + 59. -q Collect the terms in -1070*j - 1083*j + 3214*j - 1071*j. -10*j Collect the terms in -1136 - 1136 - 18*f + 4543 - 1135 - 1136. -18*f Collect the terms in 51*z**2 - 81890 + 81890. 51*z**2 Collect the terms in -4925 + 247
{ "pile_set_name": "DM Mathematics" }
et u(t) = 3*t - 1. What is u(a)? -7 Let l(t) = -11041 + 2*t**3 - t**3 + 11010. What is l(0)? -31 Let x(k) = 2 - 3 - k**2 + 2 + 7 - k - 7. Calculate x(1). -1 Let w(b) be the second derivative of b**3/3 + b**2/2 + 261*b. Give w(6). 13 Let x(p) = -p**3 + p**2 + 2*p + 1. Let s be -3 - (6 + -27) - 2. Suppose 3*w - 21 = 57. Suppose 0 = 3*l + 5*b + w, -5*b - s = l - 3*l. Calculate x(l). 9 Let n(s) = -7*s**3 + 8*s**2 - 8*s + 3. Let r(f) = -6*f**3 + 8*f**2 - 8*f + 4. Suppose -9*u = -12*u - 15. Let g(y) = u*n(y) + 6*r(y). Give g(7). 2 Let f(p) = -4 - 36*p**2 + 37*p**2 - 23*p**3 + 0 + 3. What is f(-1)? 23 Let k(a) = -6*a + 10. Let i(p) = p - 1. Let r(m) = -m + 1. Let f(l) = 6*i(l) + 5*r(l). Let w(c) = 8*f(c) + k(c). Give w(-2). -2 Suppose 12*b = 3 + 69. Let r(v) = 3*v**2 - b*v**2 - 2*v**2. Let x = 0 + 1. Calculate r(x). -5 Let c = -27 + 223. Let m(l) = -l**2 + 97 - l + 101 + l**3 - c. Let f be ((-6)/4)/((-3)/(-4)). Give m(f). -8 Let j(l) be the third derivative of l**8/6720 - l**7/504 + l**5/120 + 11*l**4/24 - 9*l**2. Let w(b) be the second derivative of j(b). Give w(5). 1 Let u = 10 - -3. Let q = u + -7. Let t(n) = -4 + 472*n + 466*n - 937*n. Give t(q). 2 Let a(x) = -x**2 - 5*x - 6. Let b(o) = o + 1. Let s(n) = a(n) + 6*b(n). Let c be (2/(-4))/((-7)/168). Let r = c - 11. Calculate s(r). 0 Let y(n) = n - 1. Let i(r) be the first derivative of r**4/4 + 5*r**3/3 + 1. Suppose 5 = -2*x - 2*a + 3, -5*x = -4*a + 41. Let c be i(x). Give y(c). -1 Let w(s) be the first derivative of 6 + 1/2*s**3 + 1/12*s**4 - 2*s + 1/2*s**2. Let r(p) be the first derivative of w(p). What is r(-2)? -1 Let l be ((-26)/8)/(2/8). Let m be 11/22 + l/(-2). Let x(z) = z**3 - 6*z**2 - 7*z - 2. Calculate x(m). -2 Let m(y) = -4*y - 78. Suppose d + 19 + 3 = -z, 5*z + 2*d + 107 = 0. What is m(z)? 6 Let j(h) = h**3 + 4*h**2 - 2*h - 1. Let b(m) = -m**3 - 7*m**2 + 3*m + 16. Let g be b(-7). Determine j(g). -16 Let o(k) = 23*k**2 - k - 7. Let x(q) = -29*q**2 + 9. Let r(u) = 5*o(u) + 4*x(u). Calculate r(-4). 5 Let c(y) = y**3 - 9*y**2 - 2*y + 17. Suppose 2*r = -4*d + 4*r + 36, 2*r = -2*d + 18. Calculate c(d). -1 Let q(h) = h - 9. Suppose -5*p + 119 + 1 = 0. Let s be (p/10)/(9/30). Determine q(s). -1 Let n(t) = -3*t + 1. Let u = 23 + -12. Suppose 3*q + u = 17. Suppose 0 = -3*j + q*x + 16, -2*x + 0 = 10. Calculate n(j). -5 Let k(p) be the first derivative of -p**5/60 - 7*p**4/24 + p**3/3 - 13*p**2/2 - 14. Let l(o) be the second derivative of k(o). Determine l(-6). 8 Suppose -5*c + 3*c = c. Suppose -p + 2*f - f - 6 = c, -3*f + 10 = -p. Let h(s) be the first derivative of -s**4/4 - 5*s**3/3 - 3*s**2 - 5*s - 1. Determine h(p). 3 Let i be (-3 - -6)/((-3)/4) - 4. Let j be 9/(-1) + (i - -13). Let n(v) = -v**3 - 3*v**2 + 3*v - 2. Give n(j). 2 Let o(n) = 7 - 6*n - n - 2 + 5*n**2 + 0*n**2 - 4*n**2. Give o(5). -5 Let g(a) = -2*a**3 - a**2 - a - 1. Let t be g(-1). Suppose -t = 2*c - 7. Let u(q) = -q**3 - 2 - 7*q + 5*q - 5*q**2 + c. What is u(-4)? -7 Let h = 13 - 10. Let b(p) = 11*p**2 - 9*p + 11. Let j(n) = -5*n**2 + 4*n - 5. Let u(a) = -4*b(a) - 9*j(a). What is u(h)? 10 Let j = -60 + 66. Let c(l) = l**2 - 6*l. Calculate c(j). 0 Let o(l) = -6 + 2*l - 7*l + 2*l + 1. Let y be o(-3). Suppose -c - y*c = 30. Let n(w) = w**3 + 7*w**2 + 5*w. Give n(c). 6 Let y(f) be the second derivative of -f**5/20 - 5*f**4/6 - 2*f**3/3 + 5*f**2 + 889*f. Determine y(-10). 50 Let m(a) = -4*a**2 + a + 10. Suppose -3 = b + 3*q, -8 = 4*b - 5*q + 4. Let c(g) = 11*g**2 - 4*g - 29. Let j(f) = b*c(f) - 8*m(f). Give j(7). -14 Suppose i = -3*g - 1, i + 0*g = 3*g + 11. Let s(x) = x**2 - 7*x - 8. Let v(r) = r**2 - 8*r - 9. Let j(a) = 4*s(a) - 3*v(a). Give j(i). 0 Let w be ((-20)/14)/(46/161). Suppose -3 = -2*z - 1. Let a(y) = z - 2 + y - 5*y**2 + 2 - y**3. Calculate a(w). -4 Let g(i) be the second derivative of -i**6/240 - i**5/30 + i**4/6 + 12*i. Let v(m) be the third derivative of g(m). Give v(-3). 5 Suppose a - 5 = 2*r - 8, -3*a - 2*r + 15 = 0. Let q(u) = u**3 - 4*u**2 + 2*u + 3. Determine q(a). 0 Let s(t) = -t - 6. Suppose 4*j = -3*v - 17, 5*j - 2*v = 2*j - 17. Let n(w) = -3. Let p(g) = j*n(g) + 2*s(g). Calculate p(7). -11 Let g(q) = -q**3 + q**2 - 5. Let j(p) = p**3 - 10*p**2 + 6. Let o(u) = 2*g(u) + j(u). Calculate o(-8). -4 Suppose -3*q - 12 = -7*q. Let v(t) = 3 - 4 - t**q - 186*t**2 + 188*t**2 + 6*t. Calculate v(4). -9 Let y = 6 + -4. Let j(u) be the second derivative of u**3/6 + u**2 - 2*u + 13. Calculate j(y). 4 Let a(w) = -2*w + 4. Let t(j) be the first derivative of j**4/4 + 2*j**3 + 4*j**2 + 10*j + 11. Let b be t(-5). Determine a(b). 14 Let a = 32 + -29. Let u = a - 5. Let r(b) = b**3 + 3*b**2 + 2*b - 1. Calculate r(u). -1 Let v(s) = 2*s - 8. Let c(i) = -i**3 + 22*i**2 - 21*i + 11. Let w be c(21). What is v(w)? 14 Let p(f) = -f**3 + 3*f**2 - 2*f + 1. Let d = -8 - -29. Let z be 7/(d/2)*6. Let y be z/22 + (-31)/(-11). What is p(y)? -5 Let s be (3/(-21))/((-19)/665). Let l(d) be the first derivative of d**3/3 - 3*d**2/2 + 1. What is l(s)? 10 Let a(h) = -14*h**2 + 8*h**2 + 7*h**2 + 4 + 7*h. Let r(y) = -2*y - 19. Let z be r(-6). Calculate a(z). 4 Let b(v) be the first derivative of v**4/4 + 7*v**3/3 + 5*v**2/2 - 11*v - 64. Give b(-6). -5 Let o(h) = -6*h**2 + 4*h**2 + 3 + 7*h - 7*h**3 - 4*h + 6*h**3. Let v be (13 - (2 + -5)) + -2. Suppose 3*b - 10 = -d, b + b = 3*d + v. What is o(d)? -3 Let d(h) = h**3 - 3*h**2 - 3*h + 5. Let t be 3/(3/36*-3 + 1). What is d(t)? 9 Let p be 2/((-16)/(-6))*-4. Let d(w) = 2*w**3 + 3*w - 4. Let o(q) = -3*q**3 + q**2 - 5*q + 7. Suppose -4 + 10 = -2*t. Let l(v) = t*o(v) - 5*d(v). What is l(p)? -1 Let p = 10 + -10. Suppose -k = -4*g + 6, p*g - g - 8 = -5*k. Let v(m) = 6*m - 2*m**2 - 3*m + m**k - 4 - 4*m. What is v(0)? -4 Let a(g) = g**3 - 2*g**2 - g - 4. Suppose 0 = -7*y + 3*y + 12. Calculate a(y). 2 Let v(a) be the second derivative of 0 - 1/6*a**3 + 33*a + 2*a**2. Calculate v(5). -1 Suppose -18 = o - 8. Let d be (-18)/5 + ((-56)/o - 6). Let k(g) = g**3 + 6*g**2 + 6*g + 2. What is k(d)? 10 Suppose -i = -3*i - 6. Let t(k) = -5*k**2 - 5*k + 3. Let h(q) = -4*q**2 - 5*q + 4. Let w(v) = i*t(v) + 4*h(v). Calculate w(-5). 7 Let g(l) = -159 + 75 + 81 + 17*l - 10*l. What is g(-4)? -31 Let h(m) = -4*m**2 - m. Let w be -4 - (-1 + (-1 - 0)). Let n(j) = j**3 + 5*j**2 + 2*j + 1. Let t(k) = w*n(k) - 3*h(k). Determine t(2). -12 Let u(w) be the first derivative of w**5/30 + w**4/6 - 7*w**3/6 + 14*w**2 - 50. Let v(s) be the second derivative of u(s). Calculate v(-5). 23 Suppose -13 - 8 = 7*k. Let j(u) = u**3 + u**2 - 4*u + 1. Determine j(k). -5 Let q(f) be the first derivative of f**2/2 + 9*f - 2. Suppose 6*i = 2*u + 4*i + 14, 4*u = 5*i - 25. Calculate q(u). -1 Let t(l) = l**2 + 13*l - 12. Let h be t(-14). Let c(d) = d**2 - 7 - h*d + 6 + 2*d. What is c(-3)? 8 Let h(m) = 4*m**2 + 8*m - 4 - 8*m + m**3. Let c(k) = -k**2 - 31*k - 3. Let z be c(-31). Calculate h(z). 5 Suppose 163 = 7*v - 5. Suppose 0 = 5*z + 3*z + v. Let i(p) = p**2 + 5*p - 3. Determine i(z). -9 Let n(q) = -11*q**2 + q**2 - 12*q + q**3 - 7 + q**2 - q**2 - 2*q**2. What is n(13)? 6 Let j(v) = 0*v**2 - 3 - 325*v + 319*v - 2*v**2 + 3*v**2. Calculate j(5). -8 Let h = -2219 + 2222. Let q(f) = 11*f**2 - f. Let o(p) = 5*p**2. Let y(t) = 13*o(t) - 6*q(t). Give y(h). 9 Let i(z) = -2*z**2 - 32*z - 3. Let k be i(-16). Let t(n) = n**3 + 4*n**2 + 5*n. Calculate t(k). -6 Let b(i) = 6*i + 2. Suppose -38*g + 48*g + 50 = 0. What is b(g)? -28 Let k(g) = -g**3 - 18*g**2 + g + 20. Let o be k(-18). Let b(l) = 12 + 31*l**2 - 68*l**2 - 10*l + 38*l**o. Calculate b(8). -4 Let o(f) = f + 2. Let w = -133 - -127. What is o(w)? -4 Let l(i) = i**2 - 6*i - 5. Let w(c) = 2*c - 6. Let g be w(5). Suppose 5*a + 16 = g*z + 7*a, -14 = -5*z - 4*a. What is l(z)? -5 Suppose -5*y - 20 = -4*q, q = y + 3*y + 5. Let x(t) = -3*t + q + 8*t - 3*t. Let j be (-6)/24 + 21/4. Give x(j). 15 Let n(f) = -3*f - 10. Let g = 469 - 476. What is n(g)? 11 Let i(o) be the third derivative of o**5/60 - 7*o**4/24 + o**3 - 19*o**2. Let p(y) be the first derivative of i(y). Calculate p(7). 7 Let b be 4 + (0 - -3)*11. Let q = b + -33. Let v(p) = -5 + 2*p**2 + 0*p**2 + 9*p - p**3 - 2*p. Give v(q). -9 Let w(g) = 3*g + 4. Let m(b) = -16*b - 21. Let s(n) = 2*m(n) + 11*w(n). Let x be 6/(-1 - 1 - -4). Suppose -7 = x*j + 5*z, -3*j + 2
{ "pile_set_name": "DM Mathematics" }
(j) = -6*j**2 + 1902*j - 8. Determine -8*o(b) + 3*x(b). -2*b**2 + 634*b Let x(d) be the first derivative of 55*d**2/2 - 45*d - 871. Let g(r) = -3 - 1 - 5*r + 10*r. Determine 45*g(j) - 4*x(j). 5*j Let i(s) = -4*s**3 - 3*s**2 + 2. Let d = 129 - 123. Let x(y) = 72*y - 9*y**2 - 12*y - 8*y**2 + 11 - 60*y - 23*y**3. Calculate d*x(j) - 34*i(j). -2*j**3 - 2 Let x(q) = -44*q - 1132. Let p(h) = 20*h + 567. Give -9*p(k) - 4*x(k). -4*k - 575 Let c(u) = -8148*u - 71. Let v(h) = 2717*h + 26. Calculate 4*c(n) + 11*v(n). -2705*n + 2 Let q(b) = -b**2. Let y(r) = 4*r**2 - 2*r - 2. Let o = 366 + 97. Suppose 460*i - 6 = o*i. What is i*q(p) - y(p)? -2*p**2 + 2*p + 2 Let u(p) = -2*p - 3*p + 4*p**2 - 3*p**2 - 2. Let x = 174 + -179. Let l be x/(25/(-15)) + 4. Let a(o) = o**2 - 6*o - 2. Give l*u(r) - 6*a(r). r**2 + r - 2 Let j(q) = q - 1. Let p(i) = -10*i**2 - i + 1. Let y be -33 + 16 - 72/(-4). Determine y*p(d) + j(d). -10*d**2 Let y(m) = -4*m**2 - 100*m + 8. Let f(p) = -2*p**2 - 103*p + 10. Give 5*f(n) - 6*y(n). 14*n**2 + 85*n + 2 Let p(g) = 3 + g**3 - g**2 - 4 + 2. Let w(h) be the third derivative of 2*h + 0 + 1/24*h**6 + 2/3*h**3 + 8*h**2 - 2/15*h**5 + 0*h**4. Determine -6*p(t) + w(t). -t**3 - 2*t**2 - 2 Let w(t) = -5*t. Let r(g) = -21*g - 111. Determine -r(j) + 3*w(j). 6*j + 111 Let m(x) = 93*x**3 + 40*x**2 - 7*x + 3. Let z(p) = -62*p**3 - 27*p**2 + 5*p - 2. What is -5*m(n) - 7*z(n)? -31*n**3 - 11*n**2 - 1 Let s(x) = -10 + 3*x + 11 + 0. Let j(d) = 2*d + 1. Suppose -5*h = -a - 16, 5*h - 4*h + 3*a = 0. What is h*s(f) - 5*j(f)? -f - 2 Let i(d) = -42*d**2 - 71*d - 2. Let w(z) = 83*z**2 + 120*z + 3. Determine -5*i(c) - 3*w(c). -39*c**2 - 5*c + 1 Let y(w) be the second derivative of w**5/20 - w**4/6 + w**3/3 - w**2 + 707*w. Let o(r) = -5*r**3 + 11*r**2 - 11*r + 11. Determine -6*o(l) - 33*y(l). -3*l**3 Let d(s) = 89*s + 11. Let i(a) = -265*a - 36. Give -7*d(x) - 2*i(x). -93*x - 5 Let t(r) = 25*r**2 - 11*r + 11. Let a = 136 + -158. Let z(q) = 84*q + 71*q - 5*q**2 - 2 - 153*q. Determine a*z(j) - 4*t(j). 10*j**2 Let d(o) = 1. Let z(p) = 41*p - 82. Suppose -q - 242 = 3*n, 3*q + 457 = -4*n + 141. What is n*d(b) - z(b)? -41*b Let h = 953 - 958. Let x(r) = r**3 - 3*r**2 - 3*r. Let n(j) = -j**3 + 5*j**2 + 6*j + 1. What is h*x(o) - 3*n(o)? -2*o**3 - 3*o - 3 Let x(q) = 53*q - 1. Let u(f) = 60*f - 2. Determine 4*u(v) - 3*x(v). 81*v - 5 Suppose -62*t = -70*t + 64. Let j(i) = 2*i**2 - 41*i - 6. Let w(r) = -r**2 + 27*r + 4. Determine t*w(a) + 5*j(a). 2*a**2 + 11*a + 2 Let h(c) = -52*c. Let y(n) = -43*n + 2. Give -2*h(w) + 3*y(w). -25*w + 6 Let d(l) = -6*l**2 - 3*l - 3. Let r(x) = 11*x**2 + 7*x + 7. Let p = 388 + -381. Let q be 6*(-10)/45*-3 - p. What is q*r(y) - 7*d(y)? 9*y**2 Let u(y) = -8*y + 0*y - 3 + 3 + 5. Suppose -2*i + 43 = -3*m, -3 - 3 = -3*i. Let p(x) = -17*x + 11. Suppose 5*j - 26 = 4. Calculate j*p(a) + m*u(a). 2*a + 1 Let m(z) = -10*z**2 + 12333*z + 5. Let d(b) = -2*b**2 + 2474*b + 1. Give 11*d(s) - 2*m(s). -2*s**2 + 2548*s + 1 Let s(l) = 5*l - 13058. Let g(v) = -2*v - 27. Calculate -2*g(c) - s(c). -c + 13112 Let v = -11908 + 11902. Let w(j) = 15*j - 10. Let n(d) = -5*d + 3. Calculate v*w(b) - 17*n(b). -5*b + 9 Let h(i) = -i**2. Let o(m) = 5*m**2 - 4*m. Let x(d) = -549*d - 7138. Let t be x(-13). Determine t*o(q) + 2*h(q). -7*q**2 + 4*q Let f(i) = -12*i**3 + 8536*i**2 + 22*i + 12. Let g(t) = -2*t**3 + 1707*t**2 + 4*t + 2. Determine -2*f(o) + 11*g(o). 2*o**3 + 1705*o**2 - 2 Let l(j) = -15*j**3 + 2*j**2 - 7*j. Let w(b) = 7*b**3 - b**2 + 4*b. Suppose 5*y - 46 = 13*o - 17*o, 40 = 4*o + 4*y. What is o*l(h) + 7*w(h)? -11*h**3 + h**2 Let t(s) = -8*s**2 - 5*s. Suppose 3 = -2*j - 3. Let w(o) = -156 - 3*o - 4*o**2 - 36 + 192. Calculate j*t(y) + 5*w(y). 4*y**2 Let v(r) = -17*r**3 + 5*r**2 - 4*r + 1. Let g(c) = -5272 - 2*c + 7*c**2 - 4*c**2 - 8*c**3 + 5273. Determine 5*g(q) - 3*v(q). 11*q**3 + 2*q + 2 Let c = 191 - 196. Let j(r) = r + 3 + 11*r - 5*r + 0. Let z(q) = 4*q + 2. Give c*z(p) + 3*j(p). p - 1 Suppose -1 = -3*b - 28*b + 123. Let j(r) = 9*r**2 + 4*r + 1. Let h(i) = 8*i**2 + 3*i. What is b*j(n) - 5*h(n)? -4*n**2 + n + 4 Let t(y) = 1. Let h(q) = -q**3 - 3*q**2 - 5*q + 6. Let k be h(-2). Let x(c) = 3*c**2 + 12. Calculate k*t(g) - x(g). -3*g**2 Let l(z) = 3*z**3 - 3*z**2 + 2. Let g(t) = -8*t**3 + 10*t**2 - 6. Let j(a) = a**3 + 25*a**2 + 91*a + 1615. Let x be j(-24). What is x*l(h) + 2*g(h)? 5*h**3 - h**2 + 2 Let k(r) = 3*r**3 + 10. Let f(j) = 18*j**3 - 32*j**2 + 39. What is f(w) - 4*k(w)? 6*w**3 - 32*w**2 - 1 Let z(m) = 3*m + 6. Let y = -4 - -39. Let o(h) = -y*h + 68*h - 29*h + 7. Give -5*o(a) + 6*z(a). -2*a + 1 Let m(a) = 10*a**2 - 21*a + 47. Let r(d) = 7*d**2 - 14*d + 34. What is 5*m(z) - 7*r(z)? z**2 - 7*z - 3 Let a(k) = -3*k + 396520*k**2 - 3 - 5*k**3 - 396520*k**2 + 44*k**3 - 4*k**3. Let g(j) = 805*j**3 - 70*j - 70. What is 70*a(s) - 3*g(s)? 35*s**3 Let m(r) = -r - 1. Let c(a) = -27*a - 246. Let y(d) = 25*d + 204. Let o(u) = -5*c(u) - 6*y(u). Calculate -6*m(b) - o(b). 21*b Let c = -14132 + 14133. Let x(y) = -7*y**2 - 6*y - 3. Let d be 3 - -1 - 1*-2. Let b(i) = 3 + 3 - 2 - 3 + i**2 + i. Calculate c*x(k) + d*b(k). -k**2 + 3 Let u(v) = 86*v**2 + 101*v**2 + 83*v**2 - 283*v**2. Let g(x) = -116*x**2. What is -3*g(n) + 28*u(n)? -16*n**2 Let x(r) = r**2 + 7*r + 3. Let p be x(-8). Suppose 10*m - 4 = p*m. Let w be 2 + -5 + 8/m. Let g(o) = 9*o. Let q(f) = -10*f. Calculate w*g(u) - 4*q(u). -5*u Let r = -10401 + 10407. Let z(v) = 11*v**3 + 7*v**2 + 3*v + 7. Let o(c) = 12*c**3 + 8*c**2 + 4*c + 8. Determine r*z(h) - 5*o(h). 6*h**3 + 2*h**2 - 2*h + 2 Let t(l) = -8*l + 3. Suppose -38 = -4*f + 14 + 28. Let c(q) = -55*q + 20. What is f*t(d) - 3*c(d)? 5*d Let n(k) = -3*k**2 - 3*k. Let j(t) = t**2 + t. Let a = 2024 + -2033. What is a*j(w) - 2*n(w)? -3*w**2 - 3*w Suppose -372 = -46*f - 78*f. Let j(u) = -18*u**2 - 6*u - 1. Let z(n) = -6*n**2 - 2*n. Give f*j(a) - 8*z(a). -6*a**2 - 2*a - 3 Let f(k) = 6 + 0 + 15 - 17 - 14*k + 46*k. Let m(g) = 1. Determine f(c) - 4*m(c). 32*c Let i(d) = -32*d + 8. Let f be ((-8)/96)/((-3)/180). Let p(v) = -17*v + 5. Let l(b) = 16*b - 5. Let q(m) = 4*l(m) + 5*p(m). Give f*i(x) - 8*q(x). 8*x Suppose 3*c - 4*a + 13 = 0, 14 - 16 = c - a. Let d(o) = -7*o**2 + 6*o + 32. Let s(k) = -6*k**2 + 5*k + 31. Calculate c*d(m) - 6*s(m). m**2 - 26 Let s(q) = 1. Let d(x) = -x - 1. Suppose -4*f = -3*k - 61 + 12, -3*f + 24 = 2*k. Suppose -99 = -13*w + f*w. Suppose 6 = -36*o + w*o. Give o*d(n) - s(n). 2*n + 1 Let i(l) = 8*l - 340. Let u(h) = 11*h - 365. Determine -5*i(k) + 4*u(k). 4*k + 240 Let m(v) = -1022*v**3 - 2*v**2 - 5*v - 1. Let r(o) = -8176*o**3 - 17*o**2 - 42*o - 9. Calculate 17*m(n) - 2*r(n). -1022*n**3 - n + 1 Let y(a) = -3*a - 44. Let o(h) = -5*h - 66. Let m(p) = -4*o(p) + 6*y(p). Let f(v) = v. Give -3*f(w) + 2*m(w). w Let g(n) = 157*n + 5. Let t(v) = v + 3. Calculate g(b) + 2*t(b). 159*b + 11 Let v(a) = -4*a**2 - 2*a - 752. Let o(c) = -5*c**2 - 3*c - 762. Give 2*o(g) - 3*v(g). 2*g**2 + 732 Let j(k) = -9*k. Let w(t) = -55*t. Suppose -56*d - 2*d = 83 - 315. What is d*w(m) - 25*j(m)? 5*m Let p(y) = 1021*y**3 + 4*y**2 - 15*y - 4. Let w(r) = r**3 + r**2 - 4*r - 1. Give p(i) - 4*w(i). 1017*i**3 + i Let o(m) = 3*m**3 - m + 1. Let f(b) = -66*b**3 - 61*b - 6. Determine -f(j) - 6*o(j). 48*j**3 + 67*j Let f(i) = 15732*i**3 + 15960. Let b(h) = 456*h**3 + 462. Calculate -380*b(l) + 11*f(l). -228*l**3 Let f(z) = -10*z**2 - 271*z. Let i(y) = 3*y**2 - y. What is f(g) - i(g)? -13*g**2 - 270*g Let c(q) = 22*q + 4. Let d(m) = -m. Let a(w) = c(w) + 12*d(w). Let h = -603 + 600. Let z(o) = 9*o + 3. Give h*a(f) + 4*z(f). 6*f Let k(g) be the first derivative of 13*g**4/4 - 2*g**3/3 - g**2 + 512. Let x(c) = c**3 - c**2 - c. Determine 2*k(p) - 4*x(p). 22*p**3 Let f(u) = 4*u - 1. Let j(a) be the first derivative of -a**2 + 3881. Determine 6*f(s) + 13*j(s). -2*s - 6 Let c = -8 - -5. Let g = -43104 + 43083. Let u(b) = -6*b**3 - 7*b**2 + 7*b + 7. Let j(s) = s**2 + s**3 - s + 12 - 8 - 5. What is c*u(y) + g*j(y)? -3*y**3 Let f(k) = -k. Let g be f(5). Let o(r) = 3*r + 7. Let u(v) = 6 + 2930*v - 1468*v - 1459*v. Give g*o(a) + 6*u(a). 3*a + 1 Let j(f) = f**3 + 205*f**2 + 7*f - 6. Let r(t) = 3*t**3 + 203*t**2 + 10*t - 8. Calculate 3*j(z) - 2*r(z). -3*z**3 + 209*z**2 + z - 2 Let v(o) = o. Let g(z) be the firs
{ "pile_set_name": "DM Mathematics" }
ulate 3500 + 0.5. 3500.5 Work out -4 + -18897. -18901 What is -22 - 46.7? -68.7 What is -1 less than 929? 930 -11272+20 -11252 Subtract 0.4 from -0.02021. -0.42021 Calculate -56 - 0.366. -56.366 Add together 11549 and 5. 11554 What is -2.356 - 0.03? -2.386 0.474 - 0.047 0.427 857+0.17 857.17 What is -1110 minus 0.02? -1110.02 Calculate 69658 + 0. 69658 24 - -0.58 24.58 What is the distance between -0.3 and 4802.1? 4802.4 What is -11 take away -13218? 13207 Subtract -4 from -2633. -2629 Calculate -28.2 - 134. -162.2 5.44 - 5 0.44 What is the distance between 2.2 and -1.382? 3.582 Calculate -0.21 + -0.09767. -0.30767 What is 146.8 less than -0.09? -146.89 Work out -21.031 + 0.46. -20.571 Calculate -0.134 - 1641. -1641.134 What is 6654 plus 0.005? 6654.005 What is 1.7647 + 25.8? 27.5647 What is -127516 less than 0.1? 127516.1 Calculate 16653 - -3.95. 16656.95 What is 2830 minus -0.4? 2830.4 What is 0.1 minus 46.244? -46.144 Work out 43 - -0.023226. 43.023226 0.1230068 + 0.5 0.6230068 Work out 0.192 + 0.076. 0.268 What is -0.3 less than -1301? -1300.7 Work out -1 - -829.04. 828.04 Put together 0.3 and -3454. -3453.7 What is -0.1 + -251156? -251156.1 Calculate 0.724 - 70. -69.276 Work out -357327 + 0.5. -357326.5 Subtract 472 from -0.274. -472.274 Work out -4.664993 + 0.3. -4.364993 What is -7 plus 0.04133? -6.95867 What is 48 take away 208.4? -160.4 0.2+-22898.29 -22898.09 Add together 106 and 0.05975. 106.05975 Work out 865 + -0.3. 864.7 Work out 5592 + 250. 5842 What is 1.0221 plus -1.1? -0.0779 What is 1 take away -0.091476? 1.091476 Put together -215 and -165.5. -380.5 Calculate 18552 + 5. 18557 What is 0 + -1323451? -1323451 -0.0582 - -0.2 0.1418 Sum -6 and 5.15. -0.85 Sum 0.5 and -0.428. 0.072 What is -32 + -76? -108 Calculate 1 - -61465.9. 61466.9 Calculate -0.3 + 190809. 190808.7 Calculate 0.25 - -11.108. 11.358 Work out -2 - -779.326. 777.326 What is 1921 - -112? 2033 Add -0.28 and 14.85. 14.57 Work out 2.6 + -0.24919. 2.35081 Add together -0.1 and -22.7889. -22.8889 Put together -0.12 and 547. 546.88 What is -683 - -9.3? -673.7 Sum -2.7606 and 1.2. -1.5606 -0.62548 - 0.2 -0.82548 What is 0.13 - 43? -42.87 What is -21 take away -132466? 132445 Add together -51619 and 19. -51600 What is 0.27 less than -39957? -39957.27 Sum -0.152451 and -0.1. -0.252451 What is -0.742 minus 0.2? -0.942 3976925+0.1 3976925.1 Total of -1.0467 and -88. -89.0467 What is 2.178 less than 0? -2.178 Subtract 42 from -32. -74 Subtract -0.1 from -40097. -40096.9 What is -161 - 56? -217 What is -0.174 + -6119? -6119.174 0.06277596 - -0.5 0.56277596 Add 20990 and 0.03. 20990.03 Calculate -0.2 - -1381. 1380.8 Total of 0.18378 and -0.1. 0.08378 53+2.1427 55.1427 -0.3 + -0.04897 -0.34897 Put together 21 and -643. -622 Sum -0.5 and 0.2629. -0.2371 Work out -197 + 35. -162 19.32 + 18 37.32 Add together 0.1 and -451. -450.9 -717 - 3 -720 Work out 0 - -3.389. 3.389 -5 - 51.7 -56.7 What is -131 - 9? -140 What is 7 minus -9682? 9689 Add 0.13 and -191.17. -191.04 0.143+416 416.143 What is 1290 - 1.27? 1288.73 Add together -188628 and 5. -188623 Work out 0.09 - 0.85158. -0.76158 Sum 5 and -480.1. -475.1 What is the difference between 0.3 and 3071300? 3071299.7 What is the distance between -0.1 and 1936.84? 1936.94 Subtract 185 from -9479. -9664 What is 8 plus 510843? 510851 Add -0.1 and -28. -28.1 What is -0.01595 take away -5? 4.98405 What is the difference between -33 and 412? 445 What is the distance between 492 and 0.39? 491.61 What is 51 less than 9? -42 Work out -6 - 0.056023. -6.056023 Work out -41.4 - -3. -38.4 Total of 343.8 and -22. 321.8 What is 0.28 minus 1217.2? -1216.92 81+15.021 96.021 Calculate -8706 - -492. -8214 What is 12492 less than 2? -12490 What is the distance between 0.1 and -1.04? 1.14 What is 385.5 minus 0.06? 385.44 What is the difference between -356 and 0.31? 356.31 What is -1745 - 0.03? -1745.03 What is 0.06 - 56? -55.94 What is -1975 plus 5? -1970 Put together -0.03 and -8175. -8175.03 Add together 0.06 and -3089. -3088.94 What is -166 - 0.4338? -166.4338 Subtract 4 from -21.09. -25.09 What is 0.4 + 0.936? 1.336 Work out 105 - -7707. 7812 Sum 23996 and 5. 24001 Subtract -0.7875 from 0.06. 0.8475 What is -2714158 + -4? -2714162 Work out 287.66 + 3.8. 291.46 Work out 1045 + 0.1. 1045.1 What is 0.16 - 0.5621? -0.4021 Work out -518 - 7. -525 Calculate 12 - 0.38. 11.62 What is -974 less than 0.2? 974.2 2509+0.2 2509.2 What is -739 + -3? -742 What is 7 + -21.97? -14.97 What is 143.678 - 5? 138.678 What is 86 minus 452.5? -366.5 What is the distance between -23.5 and -1.11? 22.39 What is the difference between -0.19355 and -0.4? 0.20645 What is 0.0145 plus -51? -50.9855 What is -3 - -858? 855 4+-23 -19 Add together 0.22012 and -0.2. 0.02012 What is -345.302 minus -0.4? -344.902 -74014 - 5 -74019 Add 0.24 and -4.4. -4.16 What is 6.944 - 143? -136.056 Put together -436 and 1.4. -434.6 Add -0.2 and -0.10137. -0.30137 Sum 713 and -5999. -5286 What is the distance between 5 and -4445? 4450 What is 0.07 plus 0.0755? 0.1455 Calculate -5 + 6.3. 1.3 What is the difference between -28454 and -0.3? 28453.7 0.5 - 31916 -31915.5 What is 0.5 plus 91684? 91684.5 Calculate -0.3 - -16725. 16724.7 Add -13 and -142.4. -155.4 What is 1.81 plus -0.036? 1.774 What is -86 less than -285.8? -199.8 What is 925 + 0.09? 925.09 Sum -1477 and 3. -1474 What is -0.2 minus 9.01? -9.21 What is -45146 minus 11? -45157 What is the difference between -4829.3 and 2? 4831.3 Calculate -3.00481 + -0.2. -3.20481 What is 119.519 plus -0.4? 119.119 What is the difference between -0.185 and 0.109? 0.294 Calculate 0.4 - 0.11599. 0.28401 0.22 + 233.4 233.62 What is the distance between -0.2 and -2992.4? 2992.2 -83 - 0.05 -83.05 What is -0.8185 minus 0.2? -1.0185 Subtract 289205 from -4. -289209 Calculate -1.24477 + -1. -2.24477 What is -5983851 - 0.5? -5983851.5 What is 90.97 plus 0.4? 91.37 -365+-35 -400 What is the difference between 430 and 0.08? 429.92 -279 - -0.05 -278.95 Calculate -0.566 + 0.15. -0.416 What is 58.96 - -0.5? 59.46 Work out 0.056 + 208. 208.056 Calculate -3 + -110001. -110004 Add together 1.081105 and -0.4. 0.681105 What is -0.09 less than -1464? -1463.91 What is the distance between 5 and -364.875? 369.875 -0.1 - 15.8806 -15.9806 -0.266 - -43.91 43.644 What is 0.1961 - 2? -1.8039 2886 + 211 3097 What is -1199 less than 0.0997? 1199.0997 What is -2128 - -14? -2114 Add together 1.4 and 17. 18.4 Put together 699 and 0.426. 699.426 What is -220.3 + 3.7? -216.6 3 + -2901 -2898 Put together -22 and 0.18. -21.82 What is 444 plus 1.9? 445.9 Work out -835 - -2641. 1806 What is -7 less than -757102? -757095 What is -0.088855 minus -2? 1.911145 What is the difference between 205 and -107? 312 Sum 14232 and 1. 14233 What is 3005848 plus 0.1? 3005848.1 What is the difference between 0.06 and -1255? 1255.06 What is the difference between -5 and -846? 841 What is -0.043151 minus -0.3? 0.256849 What is 8.1 plus 1023? 1031.1 Subtract 1 from 548.3. 547.3 Calculate -0.0126 - 106. -106.0126 -3 - -859 856 Calculate 2.6 + 510. 512.6 What is -3.514888 + 2? -1.514888 -0.07 + 249317 249316.93 Add together -2531.1 and 18.4. -2512.7 Put together 3 and -67697. -67694 -13+-777 -790 Work out 0.2 - 458. -457.8 What is 15.784 less than 165? 149.216 What is -273 - 0.58? -273.58 Sum -5 and 0.0242884. -4.9757116 What is the distance between -499.183 and 3? 502.183 Subtract -0.4 from -56277. -56276.6 Work out -0.1 - 11.78. -11.88 Add together -3053 and -0.5. -3053.5 Add together -0.1 and -0.155284. -0.255284 What is -0.83084 take away -4? 3.16916 What is -19980 less than -4? 19976 Calculate -0.132 - 941. -941.132 Put together 8589 and -5. 8584 Add 0.361 and -4. -3.639 Sum -3.22 and -2.998. -6.218 2.41 + 4 6.41 Total of 47466 and 1. 47467 -206.7 - -34 -172.7 Work out -0.04 - 1291.84. -1291.88 Total of 101 and 1.6. 102.6 What is the difference between 823453 and 0? 823453 Work out 0.0751 + -661. -660.9249 Calculate -0.09 - 16.924. -17.014 Subtract -0.102 from -4.2. -4.098 Total of 10609 and -0.2. 10608.8 Work out -2037 - -0.59. -2036.41 What is -20 - -313414? 313394 Calculate 1.7 + 138.15. 139.85 -0.0071+0.29 0.2829 Calculate 920 - 0.3. 919.7 What is -0.7566 + 0.3? -0.4566 What is the distance between -0.3 and
{ "pile_set_name": "DM Mathematics" }
be b(0). Solve 0 = n - 0*n - m for n. 5 Let w(y) be the second derivative of y**5/120 - 7*y**4/24 - y**3/2 - 2*y. Let t(c) be the second derivative of w(c). Let h be t(8). Solve -2*b = -1 - h for b. 1 Suppose -3*l = 9, 2*z + z - 4*l = 24. Suppose 4*a + 5*b - 40 = 0, -2*a - 3*b + 20 = b. Suppose 3*v - a = v. Solve -z*q - v = q for q. -1 Suppose 6*p = p + 45. Let n be (2/(-4))/(p/(-54)). Solve 5 = -n*u + 2 for u. -1 Suppose 0 = 6*o - 13 - 23. Solve 2*w - o = -w for w. 2 Let x be (0 - -3)/(1*(-6)/(-4)). Solve -x*f - 3*f = 20 for f. -4 Let x(l) be the first derivative of -l**3/3 - 5*l**2/2 + 4*l - 3. Let r be x(-5). Solve -20 = -0*k + r*k for k. -5 Let h be 1 - 7 - (-14 + 11). Let o = -3 - h. Solve 2*g = -6 - o for g. -3 Let q(v) = v**3 - 4*v**2 + 2*v - 5. Let c = 6 - 2. Let g be q(c). Solve -g + 0 = n for n. -3 Suppose u - 2 = 3*s, u - 4 = -u + 3*s. Suppose -11 = 2*w - 3*w - u*h, -20 = -4*h. Solve -w = z - 2 for z. 1 Let q(w) = w**2 - 11. Let l be q(0). Let d(z) = -z**3 + 5*z**2 + 6*z + 6. Let a be d(6). Let c be l/(-3) + 2/a. Solve -c*y - 1 - 3 = 0 for y. -1 Suppose 2*s = -0*s. Suppose 5*b + s = 2*z - 5, -4*z = -2*b - 2. Solve -x = -z - 4 for x. 4 Suppose 3*c + 25 = -5. Let q be 17/2 - c/20. Let y be 5/1 + (-6)/3. Solve 0*k - q = -y*k for k. 3 Let t = 14 + -12. Let y be 0/4 - 0/1. Let q = -4 + 6. Solve y = t*k + q for k. -1 Let v(b) = -b**2 - b. Let d(l) = l**3 + l**2 - l - 2. Let t(o) = d(o) - 2*v(o). Let n = -7 - -5. Let w be t(n). Solve 2*s = -w*s + 6 for s. 3 Suppose 0*n + 60 = 4*n. Solve 0 = 3*x - 3 + n for x. -4 Suppose -8 + 12 = i. Solve i*h - h - 12 = 0 for h. 4 Suppose -7*u + 4*u = -9. Solve 1 = a - u for a. 4 Let v = -72 - -80. Solve -3*k = -v*k + 10 for k. 2 Let a = -5 - -7. Suppose 2 = -4*y - a*d, -4*d - 1 = y + 3. Solve y = -0*m - m + 5 for m. 5 Suppose b - 8*b = -7. Solve -n + 2*n = -b for n. -1 Let q be (-4)/18 - (-454)/18. Let y be 244/10 + (-10)/q. Suppose h + 2*m = -0*h - 6, 0 = -2*h + 5*m + y. Solve 3 = h*u - 7 for u. 5 Let s be ((-4)/(-10))/((-4)/(-20)). Solve y - 3 = s for y. 5 Suppose 0 = 2*c - 0*c + 4*o + 4, -10 = 5*o. Solve c = i - 3 for i. 5 Let l = 0 - -2. Suppose -4*a = 16, -a + l*a = 5*n - 9. Let z(x) = x**3 + 2*x**2. Let q be z(-2). Solve -i = -q*i - n for i. 1 Let r be (12/(-15))/(-3*(-6)/(-225)). Solve 5*g + 0 = -r for g. -2 Let n be 3/(-3)*(3 - 11). Solve -4*g + 0 = n for g. -2 Let k(z) = -z**2 + 7*z - 1. Let y be k(5). Let d = 13 - y. Solve -2*a = -0 + d for a. -2 Let z = 6 + -4. Let t be 1 - 3 - z - -1. Let j be (3 + t)/(-2*1). Solve 2*a = -j*a + 2 for a. 1 Let p(z) = z + 11. Suppose -k - 6 = 5. Let m be p(k). Solve m = -0*f + 4*f - 4 for f. 1 Let d(c) be the third derivative of -c**6/120 + c**5/15 + c**4/4 + c**3/6 - 3*c**2. Let l be d(5). Solve -4*n = -2*n - l for n. 3 Suppose -3*d = -2*t - 3*t + 62, -2 = -t - 2*d. Let j be t/(-2)*9/15. Let o(u) = u**2 + u - 4. Let i be o(j). Solve 12 = -i*w - 2*w for w. -3 Let o(s) = -3 - 2*s + 2 + 3 + 3*s. Let f be o(5). Suppose f*z = 4*z + 66. Solve -4*y - z + 6 = 0 for y. -4 Suppose 2*t + 2*x + 20 = -0*t, -3*x + 6 = -3*t. Let c(g) = g**3 + 5*g**2 - 6*g. Let r be c(t). Suppose -2*f + 18 = -0*f. Solve r = 2*k - f - 1 for k. 5 Let z(g) be the first derivative of -g**2/2 + 8*g - 4. Let x be z(6). Solve x*r = -2*r - 12 for r. -3 Let q(u) = u**3 + u. Let j be q(-2). Let z be j/(-15)*(-45)/(-6). Solve -z*p - 1 = -4*p for p. -1 Let f(n) be the third derivative of -n**4/6 - 3*n**3/2 + 3*n**2. Let c be f(-6). Solve 3*l + 0 - c = 0 for l. 5 Suppose p + 24 = 3*g + 4, -4*g - 2*p + 20 = 0. Solve g*j - j = -15 for j. -3 Suppose -5*n + f = -5, -n - 2 = 5*f + 23. Suppose -5*v - 2*o - 3 = 0, 4*v + 4*o = -1 - 11. Solve 0 = -n*b + b + v for b. -1 Let v(c) = 24*c + 1. Let t be v(1). Suppose 0*m = 5*m - t. Solve 0 = -5*w + 4*w + m for w. 5 Suppose 3*l + 2*b - 8 = 0, 12 = -l - b + 4*b. Solve l = q - 0*q + 5 for q. -5 Suppose -14 = -2*n + w, -4*n - 3*w + 5 + 3 = 0. Solve t + 2 = n for t. 3 Suppose -b - 10 = -6*b. Solve b*k - 3 = 5*k for k. -1 Suppose -k = -4*k + 15. Suppose 4*w - 31 = -3*b, 22 + 3 = w - k*b. Suppose -5*h = -4*z + 45, 4*z = -0*h + 3*h + 35. Solve -z*u + 0 = -w for u. 2 Let r = -24 + 25. Solve r = -w - 2 for w. -3 Let v be (-2 + 6)*4/8. Suppose 2*n - 4*n + 2*u - v = 0, -3*n + 5 = u. Let f be (5 - 3) + (-1 - n). Solve -4*t + 0*t + 8 = f for t. 2 Suppose v + s + 35 - 8 = 0, -4*v - 123 = s. Let j = v + 45. Solve 4*x + 3 + j = 0 for x. -4 Suppose -26 = -5*z - 6. Solve -6 = -5*m + z for m. 2 Let u = -1 - -1. Let g = 2 + 1. Let k be (-115)/(-20) - g/4. Solve u = -d + 6*d + k for d. -1 Let p(m) = m**2 - 4*m - 8. Let n be p(6). Suppose -4*w + 8 + n = 0. Suppose 6 = w*f - 0. Solve 4*a - f - 2 = 0 for a. 1 Suppose 3*a + 33 = n + 2*n, -3*n - 5*a + 65 = 0. Let s be 1 + (1*-1 - -2). Solve 0 = 7*o - s*o + n for o. -3 Let o = -39 + 41. Solve -o*i = 3*i for i. 0 Let i be 8*-3*(-2)/6. Suppose -2*n - 2*o - 13 - 49 = 0, 2*n = -3*o - 65. Let q be i/n + (-18)/(-14). Solve -4 - q = l for l. -5 Let s(m) = 3*m**2 + 4*m + 2. Let i = 3 - 5. Let a be s(i). Let c = -5 + a. Solve c + 4 = w for w. 5 Let m be (5/(-4))/((-7)/28). Suppose 0 = f - 5*y + m, -2*f - f - 2*y + 2 = 0. Solve f = -7*r + 3*r - 8 for r. -2 Let k(p) = -p + 10. Let d be k(6). Suppose -1 = 2*b + 1, -m + 5 = -d*b. Solve -l - 3 = m for l. -4 Let m(z) = -z**3 + 5*z**2 + 2*z - 5. Suppose s - 2 - 1 = 0. Suppose -5 = -s*q + 2*q. Let o be m(q). Solve -o*a + 8 = -a for a. 2 Let k(t) = t**3 - 6*t**2 + 5. Let n be k(6). Suppose -4*p - n = -9*p. Solve -p = u - 2 for u. 1 Suppose -5 = -p - 0. Let z = -176 + 184. Solve -p*o = -2 - z for o. 2 Suppose 1 = -m + 2*m. Solve 4*d - 7 = m for d. 2 Suppose -4*t = -3*t + 4*x + 19, -x = 3*t + 2. Solve z + 0 = -t for z. -1 Suppose u + u = 0. Solve u = 3*y - 5 - 10 for y. 5 Let k = 29 + -25. Solve -k*z = -4 + 20 for z. -4 Let h be (-5)/4*-2*2. Suppose 4*y - 2 - 10 = 0. Solve -y + h = -2*j for j. -1 Let t be (30/(-4))/((-2)/4). Let y be 19/5 + 3/t. Solve 6*f = y*f - 8 for f. -4 Let k(m) = 11*m**3 + 6*m**2 + 12*m - 2. Let w(g) = -7*g**3 - 4*g**2 - 8*g + 1. Let t(q) = 5*k(q) + 8*w(q). Let f be t(-2). Solve 20 = -r + f*r for r. 4 Let t(x) = x**2 - x + 2. Let a be t(0). Let n = 30 - 9. Suppose -a*h = -w - 4 - 3, -3*h + n = -5*w. Solve h*z + 0*z = 2 for z. 1 Let o = -1 + 10. Suppose 5*n - 5*i = 15, 5*i + 18 - 3 = 4*n. Solve -3*j - o + 0 = n for j. -3 Let y be (-5 + 6)*(0 + 0 + 0). Solve 2*m + y = 2 for m. 1 Let z(g) = g**2 + 3*g - 4. Let a be z(-5). Suppose -a = -s - s. Solve -q + s = -2*q for q. -3 Suppose -20 + 29 = 3*y. Solve -y*u = -2*u - 1 for u. 1 Let x = -21 - -34. Let g(u) be the first derivative of -u**4/4 - 4*u**3/3 + 3*u**2/2 + 2*u - 3. Let s be g(-5). Solve -x = 5*z + s for z. -5 Let x be (-6)/4 - (-39)/6. Solve -x*q - 24 = 1 for q. -5 Let k be (-1)/(-3) + (-63)/27. Let r be (-4)/(-3 - k) + -4. Solve r = 3*c - 0*c + 15 for c. -5 Let d(n) = 4*n**2 - 3*n - 2. Let s be d(-1). Solve -5*c + 5 + s = 0 for c. 2 Let f = 56 - 52. Solve -8 = -f*g - 0 for g. 2 Let o(a) = -a**3 - 10*a**2 - 10*a - 4. Let i be o(-9). Solve -4*d + i = -3*d for d. 5 Suppose c + 1 = -k, -4*c - 5*k = -0*c + 2. Let o be -1 + 6 + c + -2. Solve s = -o*s + 1 for s. 1 Let d(f) = f**2 + 8*f - 7. Let y be d(-8). Let a = y + 12. Let c(w) = w - 1. Let j be c(a). Solve 17 + 3 = -j*m for m. -5 Let a = -3 + 9. Let i(w) = w - 4. Let f be i(a). Suppose d = f*d. Solve -z = -d*z for z. 0 Let z = 44 + -40. Suppose -3*l = -10 + 1. Solve l*p = -p + z for p. 1 Suppose 3*h = 2 + 10. Suppose -q - q = -h. Solve -q*f = -0*f for f. 0 Let y(i) = i**2 - 4*i - 1. Let s be y(5). Suppose 0 = -s*k - 4*z + 3*z + 19, -k = -4*z - 26. Let t = -3 + k. Solve 4*g - t*g + 1 = 0 for g. -1 Suppose 19 = 9*s + 1. Solve s = 4*d - 2 for d. 1 Let l be (-24)/2 - (-2 - 0). Let k be 2 - l*(-2)/(-4). Solve 0 = y - 3 + k for y. -4 Let g(h) = -h - 4. Let m be g(-7). Solve 5 = m*a - 10 for a. 5 Suppose b + 89 = -4*z + 19, b = z + 20. Let k be z/(-4)*4/6. Let q(l) = -2*l - 6. Let h be q(-3). Solve -k*n + 3 + 3 = h for n. 2 Let j(y) = 3*y + 2*y - 5 - 4*y. Let m be j(7). Solve -3*t + 14 = m for t. 4 Let b be -5 + (-4 - 0 - -12). Solve -5 = b*h + 1 for h. -2 Suppose 4*y + 5 - 41 = -4*f, -3*f + 3*y + 21 = 0. Suppose 3*j - m = f, j + m + 4 = -2*m. Solve -a - j = -0 for a. -2 Let i be 0/(7 + 5/(-1)).
{ "pile_set_name": "DM Mathematics" }
for o. 0 Solve -2*x - 28 = -4*z, -4*x + 43 - 134 = -15*z for x. -4 Solve 4*w + 3*x - 139 = 0, -1712*x = 4*w - 1710*x - 90 for w. -2 Solve -18 = 4*r + 5*x, 2*x - 26189 = -2*r - 26195 for r. 3 Solve -38*x + 154 = -12*a + 10*a, 4*a - x - 6*x = 5*x - 11*x - 8 for a. -1 Solve z + 632660 = 2*f + 632649, -3*f - 4*z + 11 = 0 for f. 5 Solve 5*o - 5499*t = -5504*t + 40, 18*o = -3*t + 174 for o. 10 Solve -4*z - y + 10 = 0, 589*z = 590*z + 5*y + 45 for z. 5 Solve 588*n - 24 = 584*n, 5*r - 10*n + 65 = 0 for r. -1 Solve -4*x = 3*b - 14, -2*x - 23*b = 5*b - 211 + 45 for x. -1 Solve 5*r + 3*p - 34 = 0, 66*r = -447973*p + 447972*p + 526 for r. 8 Solve -3*w = -3*l - 27, 9 = -1429162*l + 1429161*l + 3*w for l. -9 Solve z + 3400 - 3600 = 51*p, 4*z + 8 = 2*p for z. -4 Solve 3977656*r - 4*w + 8 = 3977650*r - 28, -r - 3*w = -38 for r. 2 Solve -5*m = 5*l - 120, 17*m - 46*m + 492 = l - 10*m for l. -2 Solve 0 = -2*n - 5*z - 1190 + 1113, n - 5*z - 10 = 64 for n. -1 Solve -3*b + 38*z - 45 = 18*z + 24*z, 0 = 55*b - 58*b - 14*z - 165 for b. 1 Solve 0 = 4*u - 33*y - 24 - 25 - 27, y = -u + 27 - 45 for u. -14 Solve -1253*f + 1252*f + 4*q = 4, -3*f + q = -21 for f. 8 Solve 23*y + 6*y + 57 = 4*p, -3*p + 20 = -3770*y + 3771*y for y. -1 Solve 55*z - 16*q - 505 = -18*q, 24 = -3*z - 3*z - 3*q + 93 for z. 9 Solve -5*y = 83*g - y + 55 + 24, 7*g + 5 = -2*y for g. -1 Solve 0 = 7856206*q - 7856203*q + 6, 0 = -3*r - 2*q - 13 for r. -3 Solve 3*g = 4*p - 6, 5*p - 6 = 2192*g - 2189*g for p. 0 Solve 210*u - 3*w + 714 = -324, -2*u = -3*w - 0 - 2 for u. -5 Solve -41206*h + 41202*h - 30*y - 22 = 0, h - 3*y - 5 = 0 for h. 2 Solve -18*p + 22*p + 9*g = 5, -3*g - 8 = 4*p - 7*g for p. -1 Solve -38914*t + 5*q = -38912*t - 11, -11*t - 2*q + 31 = 0 for t. 3 Solve -5*g + 142400*f - 93 = 142404*f, -2*g + 2*f = -24 for g. -5 Solve -z = 4*g - 35, -z + 7*z + 29 = 13*z + g for z. 3 Solve 15*y - 5 = 14*y, 19*m + 124 = -10*m - 4*y - 6*y for m. -6 Solve 94*c = 86*c + 2*d + 20, -250 = 2*c + 8*d for c. -5 Solve -8 = -4*m + a, 4203*a - 4206*a = -24 for m. 4 Solve c - 3*c + 3*m = -14 - 4 - 1, 22*m = -35*m - 171 for c. 5 Solve -416 = 2*d - 5*y - 6*y, -d - 4*y + 193 - 40 = 0 for d. 1 Solve -6*r - 134 = 4*i, -19*r + 21*r - 564*i = -567*i - 38 for r. -25 Solve -5*m - 2 = -2*i + 18, -18*m = -16*i + 9*i + 5*i + 72 for i. 0 Solve o = -d - 5, -o + d = 285 - 274 for o. -8 Solve -458*w - x + 10 = -453*w, -10*w + 32 = -4*w + 2*x for w. -3 Solve 2*f - 2286 = -2296, -55 = -4*p + 11*f for p. 0 Solve -2*t + g = -0*g - 12 - 2, 0 = 11*t + 3*g - 9 for t. 3 Solve 4*v + 0*w + 6 = 2*w, 17080*w - 17083*w = 15 for v. -4 Solve 0 = -3*i + 4*i - 2*f + 25, 37*i - 293*f + 3232 = 34*i for i. -3 Solve -534*z + 3*y + 155 = -535*z, 2*y + 75 = 5*z for z. -5 Solve 0 = -5971*y + 5969*y - 4*n - 16, 11*n = -55 for y. 2 Solve m + 2 = -m + 11*d - 12, -497*m - 5*d = -498*m - 6 for m. 4 Solve -48*c + 65*x - 957 = -42*c, -4*x = 2*c - 66 for c. 3 Solve -9*c + 9*c + s + 13 = 2*s, 9*c + 4*s + 4*s - 104 = 0 for c. 0 Solve -l = 2*r - 9, 0 = 396*r - 405*r + 2*l + 8 for r. 2 Solve 0 = 14*k + 5*c - 58, -4*k - 532*c + 530*c + 28 = 0 for k. -3 Solve 2*t + 2*w + 6538 = 6538, -2*t + 131 - 131 = -10*w for t. 0 Solve 180710*x - 180707*x + 2*v = -9, 2 = -5*x + v for x. -1 Solve 4*h + 8069*f - 8070*f - 5 = 0, 137 = -2*h - 15*f for h. -1 Solve -7*g = -2*a - 146, 4*a - 760 = -772 for g. 20 Solve 2*j + 23 = -3330*n + 3329*n, n + 3*j = -20 for n. -29 Solve 5*d + 4*n + 46 = 0, 1025 = -4*d + 2*n + 983 for d. -10 Solve -17*j + 13*j + 33 = -2*h - 9*j, -6*j - j - 23 = -3*h for h. -4 Solve -752 = 30*b - t, 757*b - 2*t - 121 = 762*b for b. -25 Solve 599*c = -598*c + 1202*c - 50, -4*y + 32 = 4*c for y. -2 Solve -7*b - 4*o + 487 = -15*b + b - 26*b, 0 = -3*b - 2*o - 49 for b. -15 Solve 0 = -g - s - 10, -18*g + 58*g + 28 = 14*g + 22*g - s for g. -6 Solve 968288*k + b - 13 = 968285*k, 0 = -4*k + 2*b - 0*b + 4 for k. 3 Solve 63 = 6*w + 3*z, -2*z = -4*w + 95 - 137 for w. 0 Solve 55*c - 54*c = -i - 3*i + 68, -21*c + 34 = 2*i for c. 0 Solve 51*b + 364 = 72*i + 47*b, 0 = -2*i - 4*b + 9 - 3 for i. 5 Solve 4*p + 35 = -11*j, -1168*j - 50 = -1157*j + p for j. -5 Solve 5*a + 30 = 5*s - 5, 80*a - 83*a - 20 = -2*s for s. 1 Solve -4*z - 128 = -124*y + 121*y - 3, 0 = 5*y + 5*z - 185 for y. 39 Solve 5*l + 67*o + 30 = 64*o, l + 24 = 30*o - 27*o for l. -9 Solve -2*n = 4*a + 3*n + 61, -a - n = 49 - 78 + 42 for a. -4 Solve 42 = -5*o + 5*z - 28, -15*z + 28 = 22*o - 13*z for o. 0 Solve 839*b - 836*b - 27 = -7*f, -b = -25*f + 155 for f. 6 Solve -29*q + 35 = -9*b + 2*b - 19, 0 = q + 2*q + 4*b + 70 for q. -2 Solve -5*k + 0*k - 13 = 2*o, 5273*o = 5269*o - 4*k - 1 - 7 for o. 1 Solve 4*n + 4*a - 92 = 0, 3*n + 0*a + 86 - 140 = 2*a for n. 20 Solve -20*u - 4*s = -12*u - 20, s = 3*u + 10 for u. -1 Solve 5*i = -96*l + 16, -490790*i + 490786*i = 3*l + 71 - 10 for i. -16 Solve -6*p = -3*p - 3*f - 141, -75*f + 22*f - 1029 = -14*f - 18*f for p. -2 Solve -2*s - 35 = 5*p, 3*p - 70*s - 69*s + 53 = -144*s + 13 for p. -5 Solve 5*s - 14*s - 6 = 3*u, 2*s - 5*u - 10 = s for s. 0 Solve 0 = 5*x + 9*m - 53, 8 = -478419*x + 478422*x + 2*m for x. -2 Solve -5*g - 6*l - 56 = -3*l, -3*g + l - 906 = -878 for g. -10 Solve 7*u - 18*f = -9*u + 11*u - 22*f + 39, -27*u = 2*f - 93 for u. 3 Solve -l + 119*d - 18 = 115*d, 40 = -5*l - 30*d + 25*d for l. -10 Solve 3*y + 48 + 4 = 14*s, 0 = 3*y - 6*s + 12 for y. 6 Solve -3*b + 0*b = -0*b + 2*c + 30, -5*b + 110*c - 115*c - 55 = 0 for b. -8 Solve -2*c = -2*z + 14, -57604*c = -3*z - 57608*c - 21 for z. 1 Solve -4*a - u = -6*u - 30, a + 21680*u + 24 = 21676*u for a. 0 Solve -x - l = -18 + 30 - 17, 0 = 63*x + 5*l + 91 for x. -2 Solve -2*p + 4743*g + 6 = -0*p + 4747*g, -12 = -4*p + g for p. 3 Solve -33*j - 277 = -79, 591 = 7*o - 2*j + 283 + 226 for o. 10 Solve 0*j + 3*j = 3*f + 6, -555*j = -566*j + 5*f + 52 for j. 7 Solve 2*r + 879 = 127*h, 4*h = -4*r + 3419 - 3371 for h. 7 Solve -3*j - 6 = 7*d - 1 + 52, 6*d + 5*j + 83 = 5 + 17 for d. -6 Solve -q + 6 - 64 = q + 5*f, 2930*q = 2925*q + 2*f for q. -4 Solve -349*q - g - 3 = -348*q, 0 = -3*q + 4*g - 2 for q. -2 Solve 287*a + 37 = -2*b - 170, 3*a + 16 - 12 - 41 = -b for b. 40 Solve -9*b + 5*b + 0*b - 3*w = -106, -4*b = -10*w + 284 for b. 4 Solve -2*t + 32*a = -78, 3*t - a = 399276 - 399300 for t. -9 Solve -2*k = 2*i - 1 - 7, 5*i + 876 = 921 for k. -5 Solve 212 = -40*m - 2*v, 5091*m - 4*v = 5088*m + 9 for m. -5 Solve f - 89 = -4*m, -133*m + 124*m = 3*f - 198 for m. 23 Solve -5*u - 4*j = 6*u + 68, 7*j = 3*u - j + 3*j + 49 for u. -8 Solve -117 = -3*i - 10*x, 0*i + 25*x - 113 = -4*i + 52*x - 26*x for i. 29 Solve -10*p + 488 = 2*z, -2912*p + 592 = -2900*p - 4*z for p. 49 Solve -2*d + 14 = -3*r, 5*d - 4*r - 73*r + 34 = -81*r for d. -2 Solve -55 + 41 = 11*w - 3*a + 53, -3*w + 8*a - 5*a = 99 for w. 4 Solve -11*i - 62 = 3*t, 81*t + 44 = -8*i + 79*t for i. -4 Solve 2468*v - 2359*v - 3*t = -533, 3*v + 3*t + 27 = 0 for v. -5 Solve -4 = 4*m + 5*g - 70, 60 = 4*m - 2866*g + 2868*g for m. 14 Solve 18*d - 2*v = 49*d - 36*d + 275, 110 = 2*d + v for d. 55 Solve 3*c = 3*r + 8*c - 2*c + 3, -2*r + 4 + 0 = -4*c for r. 0 Solve y = 2014*v - 2011*v + 22 - 16, 0*v + 5*y = 2*v + 30 for v. 0 Solve -3*v = -2*h + 88 - 13, 636 = 4*h - 24*v for h. -3 Solve u + 0 - 3 = -4*s, 21 + 270 = -2*s + 19*u for s. -3 Solve 5*s - 99*q = -96*q - 67, 3*s + 58*q = -s + 9*q + 152 for s. -11 Solve -20*i + 18*i - 2*i + 30 = o, o - 40 = -4*i - o for i. 5 Solve -3*p - 19*z - 30*z = -46*z - 78, 5*z = -4*p + 134 for p. -4 Solve -5*j + 4*v - 63 = -9*j - 23, -5*v = 4*j - 36 for j. 14 Solve -o + 202 = -2*h + 198, 0 = -2*o for h. -2 Solve -4*d + 7*f = -16, -2*d + 531921*f - 531915*f + 18 = 0 for d. -3 Solve -21*n + 332 = 2*m, -3023*m + 3028*m + n - 6 = 0 for m. -2 Solve 259*f - 255*f + u - 5 = 0, -5*f + 29 = -2*u for f. 3 Solve -2*t + 12*k = 14*k - 48, -t = 25*k - 21*k - 39 for t. 19 Solve 0 = 363*c + 364*c - 722*c - 3*i + 14, -166 = -5*c - 57*i for c. -1 Solve -8*v = -5*y + 113, 4*y - 4*v - 5350 = -8*v - 5374 for y. 5 Solve -4*r = 4*p + 40, 275*p - 273*p - 4 = 3*r + r for p. -6 Solve -22854*u + 29 = 2*r - 22855*u, 0 = 4*r + 3*u - 63 for r. 15 Solve 0 = -4*i + 4*w, 10284*w - 10285*w + 14 - 4 = -3*i for i. -5 Solve -75 = 27*y - 24*y + 3*p, 262*y + 4*p + 874 = 0 for y. -3 Solve -4*w = -5*q - 12, 663*w + 140 = -34*q +
{ "pile_set_name": "DM Mathematics" }
-2*j. What is the first derivative of c + c + j - x wrt c? 2 Let g(u) be the first derivative of -9*u**7/7 - u**4/4 - u**3/3 - 380*u**2 + 807. What is the third derivative of g(j) wrt j? -1080*j**3 - 6 Let q be (-2)/(-3 + 436/148). Suppose 8*t - 3*t + 44 = m, 0 = 3*m + 4*t - q. Find the second derivative of 25*o**3 - 2*o - m*o**3 - 13*o**3 wrt o. -42*o Let f(o) be the third derivative of o**7/42 + o**5/60 - 43*o**3/3 + 2*o**2 + 100*o. Find the third derivative of f(w) wrt w. 120*w Let k(d) be the first derivative of d**9/168 - 3*d**5/20 + 13*d**2/2 + 9. Let l(y) be the second derivative of k(y). Find the third derivative of l(s) wrt s. 360*s**3 Let b(r) = -r**2 - 8*r - 4. Let s be b(-7). Suppose 4*n = -s*p + 29, -5*n - 2*p + 4 = -27. What is the second derivative of n*l - 8*l**4 + 11*l - 12*l wrt l? -96*l**2 Suppose -2*k + 4 = -0*k. What is the second derivative of -6*c**2 - c**2 + 7*c - 6*c**2 + c**k wrt c? -24 Let h be (4/2)/(4/8). What is the derivative of -h*r - 7 + 5 - 5 + 2 wrt r? -4 Suppose 18 = -0*b + 3*b. Suppose b*t - 105 = 2*t + 3*j, 0 = 5*t - j - 134. Find the third derivative of -14*k**4 + t*k**4 + 2*k**2 - 5*k**2 wrt k. 312*k Suppose -20 = -4*k + 3*m, -5*m - 25 + 1 = -2*k. Suppose k*c - c = 0. Find the second derivative of c*b**3 + 4*b**3 + 2*b - 5*b wrt b. 24*b Let y(b) be the first derivative of -11/3*b**3 + 13 + 0*b**5 + 0*b**2 + 0*b**4 + 5/3*b**6 + 0*b. What is the third derivative of y(a) wrt a? 600*a**2 Suppose -3*w + 6*w = -4*j + 114, j - 19 = 4*w. Let s = 27 - j. Find the second derivative of 7*a - a**3 + s*a**3 - 3*a**3 wrt a. -24*a What is the third derivative of -14*c + 18515*c**4 - c**2 - 18520*c**4 - 7*c**5 - 17*c**5 wrt c? -1440*c**2 - 120*c Let u(d) be the first derivative of -8*d**4/3 - 3*d**3 - 47*d + 2. Let q(l) be the first derivative of u(l). What is the second derivative of q(f) wrt f? -64 Suppose 9*p - 4*p = 100. Suppose 0 = 3*r + h + 2, 4*r + 5*h = -r - p. Differentiate 0*m**3 - 2*m**3 - r + 5 with respect to m. -6*m**2 Suppose -5*w = -3*d + 36, -3*d - 5*w + 2 = -4. Let c = 15 - d. What is the third derivative of -11*k**3 - 4*k**3 + c*k**3 + 4*k**2 - 3*k**2 wrt k? -42 Let z(j) = 5 - 3 + 1 - 2*j - 5. Let x be z(-4). Find the third derivative of 3*p**6 - 3*p**x + 0*p**2 + p**6 + 4*p**2 wrt p. 120*p**3 Let w(u) be the third derivative of 0*u + 7*u**2 + 47/6*u**3 + 7/6*u**4 + 0. Differentiate w(k) wrt k. 28 What is the second derivative of 80*v**2 - 27*v - 70*v**2 + 29*v**2 - 131*v**2 - 82*v**2 wrt v? -348 Let y(h) be the second derivative of 2*h**7/35 - 2*h**4 - 47*h**2/2 - 33*h. Let n(i) be the first derivative of y(i). Find the second derivative of n(z) wrt z. 144*z**2 Suppose -5*k + 15 = -0*k. Find the third derivative of 7*g**3 - 3*g**2 + 16 - 16 + 6*g**k wrt g. 78 Suppose 0 = 2*c - 6. What is the second derivative of -5 - 6*g + 5 + 15*g**c - 2*g**3 wrt g? 78*g Suppose a = -5*l - 4, 2*l + 1 = 3*a - 4. What is the first derivative of -6*r**4 + r + a - r wrt r? -24*r**3 Let p(v) = -v**3 + v**2. Let r(j) = -191*j**3 - 48*j**2. Let d(o) = 4*p(o) + r(o). What is the third derivative of d(y) wrt y? -1170 What is the third derivative of 29*m**4 + 17*m**4 + 81*m**2 + 112*m**4 + 142*m**2 wrt m? 3792*m Let j(d) be the first derivative of -d**6/30 - 5*d**4/12 + d**2 + 5. Let x(i) be the second derivative of j(i). What is the second derivative of x(z) wrt z? -24*z Find the second derivative of -10585*i**5 + 21176*i**5 + 238*i**4 + 387*i - 10588*i**5 wrt i. 60*i**3 + 2856*i**2 Let h(j) = 1139*j + 85. Let f(i) = -569*i - 44. Let r(q) = -9*f(q) - 4*h(q). Find the first derivative of r(p) wrt p. 565 Let i(j) = -11*j**2 - 12. Let o(w) = 12*w**2 + 11. Let b be 12/32*12*(-4)/(-3). Let r(f) = b*o(f) + 5*i(f). What is the first derivative of r(m) wrt m? 34*m What is the first derivative of 91 + 326 - 227*u**2 + 149 - 192*u**2 + 456*u**2 wrt u? 74*u Let m(p) be the third derivative of -67*p**6/120 - p**5/60 + 13*p**4/3 - 42*p**2. Find the third derivative of m(o) wrt o. -402 Let y(c) = -2*c - 7. Let h be y(-8). Suppose 3*g + h = 36. Find the second derivative of -2*u**5 + g*u**5 + u + u - 4*u wrt u. 140*u**3 Let h(c) be the second derivative of -32*c**3/3 + 37*c**2/2 - 88*c. Differentiate h(o) with respect to o. -64 Let x(p) = -42*p**3 + p**2 - 12*p. Let a(z) = z**3 - z**2 + 2*z - 1. Let o(n) = a(n) + x(n). Find the second derivative of o(c) wrt c. -246*c Let d(k) be the first derivative of 0*k + 4 + 35/2*k**2 + 0*k**3 + 29/4*k**4. What is the second derivative of d(u) wrt u? 174*u Let s(z) be the third derivative of -13/6*z**3 + 7/60*z**6 - 12*z**2 + 0*z + 0*z**5 + 0 + 0*z**4. Differentiate s(y) wrt y. 42*y**2 Suppose 9*k - 6 = 6*k. Let a be (-1)/4 + 98/8. Find the second derivative of -o - a*o + k*o + 2*o**5 + 8*o wrt o. 40*o**3 Let b be (-4)/(-4)*(0 - -3). Let q(x) be the second derivative of 3/2*x**2 + x + 0*x**b - 1/12*x**4 + 0. Differentiate q(l) wrt l. -2*l Let g(k) = 325*k + 69. Let f(r) = -1299*r - 282. Let b(h) = 2*f(h) + 9*g(h). Differentiate b(j) with respect to j. 327 Suppose 0*b - 2 = -b. Let a be (4/(-6))/((-1)/6). What is the derivative of -4 + q - b + a wrt q? 1 Let l = -23 - -31. What is the second derivative of -30 - 10*y**2 + l*y + 30 wrt y? -20 Let j(a) = 156*a + 483. Let i(x) = 234*x + 722. Let m(z) = -5*i(z) + 7*j(z). Differentiate m(g) wrt g. -78 Let g(f) be the third derivative of -79*f**7/105 + 34*f**4/3 + 10*f**2. Find the second derivative of g(z) wrt z. -1896*z**2 Let f(j) = 37*j + 184. Let x(u) = 12*u + 61. Let g(l) = 2*f(l) - 7*x(l). Let r(d) = -5*d - 30. Let s(b) = 3*g(b) - 5*r(b). Differentiate s(o) with respect to o. -5 Let s = 17 + -15. Differentiate -8*q**s - 9*q**2 - 11*q**2 - 16 wrt q. -56*q Let o(g) = g**2. Suppose 0 = 4*f - 2*f + 2. Let a(j) = 12*j**2 - 15. Let h(v) = f*a(v) + 5*o(v). What is the derivative of h(t) wrt t? -14*t Let d(t) be the first derivative of -545*t**3/3 + 180*t**2 - 256. What is the second derivative of d(p) wrt p? -1090 Let h = 6 + -3. Suppose 3*n = 3 + h, -5*n = 3*v - 22. Find the second derivative of 2*a + 3*a**3 - a**3 + a**3 - v*a wrt a. 18*a Differentiate 211*r**2 - 10*r + 14*r - 4*r + 362 wrt r. 422*r Let r(o) = o**2 + o - 1. Let f(q) = -35*q**2 - 4*q + 42. Let b(h) = -f(h) - 2*r(h). Differentiate b(x) wrt x. 66*x + 2 Let d(y) be the third derivative of y**8/336 - 37*y**7/30 + y**4/8 - 25*y**3/6 + 360*y**2. Find the second derivative of d(a) wrt a. 20*a**3 - 3108*a**2 Let m(n) be the second derivative of 0*n**3 + 30*n + 37/12*n**4 + 0 - 1/2*n**2. Differentiate m(p) wrt p. 74*p Let l(p) = 3*p + 8. Let g be l(-2). Find the second derivative of -981 + 981 + 7*x**g - 18*x wrt x. 14 Find the second derivative of 4 + 18*a**5 + 56*a**5 - 1 - 33*a - 2 wrt a. 1480*a**3 Let q(a) be the second derivative of 45*a**8/56 + a**6/30 + 53*a**4/4 - 20*a. What is the third derivative of q(r) wrt r? 5400*r**3 + 24*r Let l(i) be the third derivative of 0*i**4 + 0*i**6 + 0*i**5 + 0 + 20*i**2 + 0*i + 2/35*i**7 + 2*i**3. Differentiate l(f) with respect to f. 48*f**3 Suppose 0 = -4*k - 0*k - 3*i + 20, -26 = -5*k - 4*i. Find the third derivative of 78 + 10*o**k + 2*o**6 - 78 + 13*o**6 wrt o. 1800*o**3 Let j = -17 + -11. Let a = 34 + j. What is the second derivative of a*k - 5*k + 6*k**3 + 0*k wrt k? 36*k Find the second derivative of -587*c - 405*c**4 - 1320*c**2 + 1320*c**2 wrt c. -4860*c**2 Let x(g) be the second derivative of -251*g**4/4 - 769*g**3/6 - 844*g. What is the second derivative of x(k) wrt k? -1506 Suppose 1 - 21 = -4*b. Find the third derivative of 6*h**2 + 11*h**4 + b*h**2 - h**2 wrt h. 264*h Let x = -43 - -48. Let b(z) = 8*z - 2. Let f(r) = -r. Let y(p) = x*f(p) + b(p). Find the first derivative of y(v) wrt v. 3 Let d = 1 + -3. Let j = 4 + d. Find the third derivative of -5*u**4 + 4*u**4 + 2*u**2 + 5*u**j wrt u. -24*u Let a(v) be the first derivative of 0*v**2 - 13 + 0*v**4 - 13/3*v**3 + 18/7*v**7 + 0*v**5 + 0*v + 0*v**6. What is the third derivative of a(p) wrt p? 2160*p**3 Let f(n) = 130*n**2 + 86. Let d(y) = 26*y**2 + 17. Suppose 7*v + 0*v + 77 = 0. Let g(k) = v*d(k) + 2*f(k). Differentiate g(h) with respect to h. -52*h Let l(t) = 61*t**3 - 4*t**2 - 67*t - 2. Let y(b) = 2*b**2 - b + 1. Let z(s) = l(s) + 2*y(s). Find the second derivative of z(n) wrt n. 366*n Le
{ "pile_set_name": "DM Mathematics" }
et f(b) = 3*b**2 + 94*b + 476. Calculate f(-5). 81 Let h(c) = -c**2 - 441*c - 23179. What is h(-61)? 1 Let m(b) = -b**3 + 11*b**2 - 19*b + 76. Give m(9). 67 Let v(i) = -2*i**3 - 57*i**2 - 43*i + 624. Give v(-27). -402 Let c(s) = 22*s + 705. What is c(-33)? -21 Let r(s) = -3*s**2 + 227*s + 2003. Determine r(-8). -5 Let m(k) = -k**3 - 51*k**2 + 53*k - 2796. Give m(-53). 13 Let z(d) = d**3 + 17*d**2 - 28*d - 175. What is z(-18)? 5 Let y(c) = -966*c + 14494. Give y(15). 4 Let q(j) = 55*j**2 - 111*j - 2. Determine q(2). -4 Let d(y) = -y**3 + 16*y**2 - 14*y - 31. What is d(10)? 429 Let l(h) = -15*h**2 - 492*h - 828. What is l(-31)? 9 Let s(w) = 8*w**2 - w - 6. Determine s(-4). 126 Let o(g) = -12*g**3 + 8*g**2 - 3*g - 2. Determine o(3). -263 Let z(h) = -98*h + 14. What is z(2)? -182 Let l(d) = -d**3 - 326*d**2 - 3173*d - 4106. Determine l(-316). 2 Let g(j) = 169*j + 9752. Calculate g(-58). -50 Let c(n) = 8*n - 371. Give c(45). -11 Let x(b) = -b**3 + 65*b**2 - 781*b + 474. Give x(15). 9 Let i(j) = -j**2 + 13*j + 13. Determine i(10). 43 Let x(y) = -5*y**2 + 89*y + 342. Determine x(-4). -94 Let l(i) = -8*i**3 + 2*i**2 - 6*i + 15. What is l(2)? -53 Let w(f) = -103*f - 175. Give w(-5). 340 Let w(y) = -y**3 + 5*y**2 - 33*y + 10. Determine w(-7). 829 Let c(g) = g**2 - 160*g + 5911. Calculate c(102). -5 Let a(c) = 26*c - 1299. What is a(50)? 1 Let t(v) = v**2 - 626*v - 26648. Give t(-40). -8 Let i(k) = k**3 + 39*k**2 + 245*k - 98. Give i(-31). -5 Let r(n) = -2*n**3 - 12*n**2 + 50*n - 8. Give r(-9). 28 Let v(d) = -5*d**2 - 61*d - 46. Calculate v(-11). 20 Let z(v) = -4*v + 37. What is z(52)? -171 Let t(h) = 2*h**2 + 179*h - 132. What is t(-90)? -42 Let p(x) = -x**2 + 39*x - 359. Calculate p(19). 21 Let g(s) = -253*s - 8863. Calculate g(-35). -8 Let w(m) = m**2 - 9072*m + 9071. What is w(1)? 0 Let d(l) = -l**3 - 19*l**2 + 360*l + 54. Give d(12). -90 Let r(a) = -42*a + 126. Determine r(6). -126 Let f(h) = -h**2 + 46*h + 511. Determine f(-10). -49 Let m(z) = -2*z**2 + 138*z - 13. What is m(65)? 507 Let o(h) = h**3 - 402*h**2 - 1677*h + 21521. Give o(406). 3 Let x(p) = 331*p + 4599. Calculate x(-14). -35 Let t(d) = 55*d**2 + 549*d - 13. What is t(-10)? -3 Let h(r) = -r**2 - 25*r + 108. What is h(0)? 108 Let v(j) = j**2 + 116*j + 356. Determine v(-3). 17 Let y(g) = g**2 + 34*g + 166. What is y(-6)? -2 Let j(m) = m**3 - 38*m**2 + 26*m + 401. What is j(37)? -6 Let l(j) = -123*j + 814. What is l(7)? -47 Let y(i) = 61*i + 114. What is y(-2)? -8 Let m(l) = -l**3 - 56*l**2 - 70*l + 12. Determine m(-55). 837 Let o(b) = -118*b - 18655. Give o(-158). -11 Let y(v) = 47*v - 364. Give y(6). -82 Let g(w) = 3*w**2 - 31*w + 76. Calculate g(14). 230 Let w(z) = -3*z**3 + z**2 + 31*z + 40. Calculate w(4). -12 Let v(q) = -506*q + 4573. Calculate v(9). 19 Let w(i) = i**3 - 38*i**2 - 39*i - 3. What is w(39)? -3 Let k(g) = -241*g + 168. Determine k(0). 168 Let q(w) = 228*w - 1616. Calculate q(7). -20 Let i(n) = n**3 - 44*n**2 - 36*n - 58. Determine i(45). 347 Let g(b) = b**2 + 51*b + 301. Determine g(-59). 773 Let r(o) = -o**3 - 80*o**2 - 47*o + 2466. Calculate r(-79). -62 Let n(s) = -s**2 - 5*s + 50. What is n(-9)? 14 Let p(c) = 86*c + 95. Give p(-1). 9 Let h(t) = 2*t**2 + 139*t + 827. What is h(-63)? 8 Let o(g) = 26*g**2 - 56*g - 52. Give o(-1). 30 Let b(k) = -36*k + 214. Determine b(8). -74 Let o(f) = 9*f**2 - 945*f - 1003. Determine o(106). -49 Let x(n) = -213*n**3 + n**2 + n + 1. Determine x(-1). 214 Let u(t) = -309*t - 1057. Give u(-4). 179 Let g(n) = -69*n**2 + 231*n + 179. Give g(4). -1 Let l(p) = -89*p - 551. What is l(-6)? -17 Let p(s) = 2*s**3 + 13*s**2 + 21*s + 67. What is p(-5)? 37 Let m(o) = -2*o**3 + 4*o**2 - 13*o + 72. Determine m(4). -44 Let j(p) = 66*p - 585. Determine j(9). 9 Let t(p) = -p**3 - 6*p**2 - 11*p - 11. Calculate t(-5). 19 Let d(k) = -8*k + 612. Calculate d(83). -52 Let x(m) = -8*m**2 + 12*m - 36. Calculate x(3). -72 Let a(b) = 51*b - 677. Determine a(18). 241 Let d(k) = k**2 - 38*k - 228. Determine d(-7). 87 Let f(n) = -223*n - 2720. Determine f(-12). -44 Let f(a) = -2*a**3 + 19*a**2 - 30*a + 19. Calculate f(8). -29 Let x(j) = j**2 - 41*j + 14. Determine x(39). -64 Let a(t) = t**3 - 19*t + 52. Determine a(3). 22 Let r(l) = 186*l + 1525. What is r(-8)? 37 Let z(a) = 2*a**2 + 44*a + 80. What is z(0)? 80 Let g(d) = d**3 + 24*d**2 - 219*d + 12. Give g(7). -2 Let h(g) = -g**2 + 24*g + 804. Calculate h(36). 372 Let c(x) = -x**2 - 69*x - 85. Determine c(-68). -17 Let q(f) = -8*f**2 + 95*f + 2. Calculate q(12). -10 Let k(l) = l**3 + 9*l**2 - 2*l + 12. Determine k(-8). 92 Let r(m) = -m**3 + 47*m**2 + 696*m + 711. Give r(59). 3 Let d(b) = -b**3 - 6*b**2 - 8*b + 6. What is d(-2)? 6 Let n(y) = -y**3 + 44*y**2 + 2*y - 1921. Determine n(43). 14 Let l(m) = 18*m - 150. What is l(15)? 120 Let q(n) = -n**3 + 108*n**2 - 2516*n + 5. What is q(74)? 5 Let y(n) = 7*n**3 - 31*n**2 - 124*n - 6. Calculate y(-5). -1036 Let p(w) = w**2 + 12*w - 41. Give p(-11). -52 Let a(i) = -27*i - 69. Give a(-6). 93 Let d(f) = -2*f**2 - 13*f - 18. Determine d(7). -207 Let r(g) = -g**2 - 21*g - 63. Give r(-14). 35 Let p(t) = -215*t - 1284. What is p(-6)? 6 Let t(n) = 640*n + 3830. What is t(-6)? -10 Let a(y) = -286*y + 2420. Determine a(7). 418 Let n(h) = 85*h**3 - 11*h - 9. Calculate n(-1). -83 Let i(k) = -3*k**2 + 2*k + 184. Give i(8). 8 Let d(g) = 44*g + 1997. Determine d(-46). -27 Let m(p) = -3*p**3 - 7*p**2 + 8*p - 18. Calculate m(-8). 1006 Let y(f) = f**2 + 13*f - 277. Give y(11). -13 Let d(x) = x**2 + 34*x + 174. What is d(-28)? 6 Let y(g) = 7654*g + 45882. Give y(-6). -42 Let f(v) = -12*v**2 - 370*v + 76. Determine f(-31). 14 Let x(i) = i**3 - 10*i**2 + 12*i + 12. Calculate x(9). 39 Let j(v) = -510*v + 7132. What is j(14)? -8 Let g(b) = -2*b**2 + 94*b + 5114. What is g(79)? 58 Let r(t) = -t**3 - 18*t**2 + 14*t + 28. Give r(-19). 123 Let i(q) = 57*q - 2219. Determine i(39). 4 Let w(g) = 2*g**3 + 46*g**2 + 262*g + 140. Calculate w(-14). 0 Let r(t) = -2*t**2 - 86*t + 413. What is r(-48)? -67 Let q(o) = -2*o**3 - 17*o**2 + 4*o + 29. Calculate q(-10). 289 Let k(f) = 6*f + 55. What is k(-11)? -11 Let y(m) = 2*m**2 + 2153*m - 12970. What is y(6)? 20 Let g(v) = -24*v + 453. What is g(18)? 21 Let k(b) = 6*b**2 - 222*b - 83. Calculate k(36). -299 Let g(a) = -15*a + 312. Calculate g(17). 57 Let w(d) = 388*d + 6209. Determine w(-16). 1 Let n(d) = -4*d**3 + 14*d**2 - 7. What is n(4)? -39 Let s(t) = 5*t + 40. Determine s(-21). -65 Let d(h) = -h**2 + 693*h + 9179. Give d(-13). 1 Let s(r) = 3*r**3 + 82*r**2 + 106*r. Give s(-26). -52 Let q(d) = -d**2 - 44*d - 84. Give q(-42). 0 Let c(y) = -105*y**2 + 256*y - 5. Calculate c(2). 87 Let f(p) = -377*p + 2633. Calculate f(7). -6 Let w(u) = 81*u**2 - 331*u + 16. Give w(4). -12 Let h(t) = -188*t + 7513. Calculate h(40). -7 Let a(l) = -2*l**3 + 11*l**2 - 74*l + 249. Determine a(4). 1 Let c(g) = 402*g**2 - 1598*g - 4. What is c(4)? 36 Let y(r) = 2*r + 177. What is y(6)? 189 Let g(m) = 12*m**2 + 418*m - 417. What is g(1)? 13 Let l(u) = -u**3 + 8*u**2 + 18*u - 47. Give l(7). 128 Let s(j) = j**3 + 8*j**2 - 71*j - 513. Determine s(-6). -15 Let s(o) = -o**3 - 7*o**2 - 7*o - 20. Determine s(-6). -14 Let v(x) = 4*x**3 - 13*x**2 - 77*x - 6. Determine v(-4). -162 Let m(b) = b**2 - 20*b - 73. Give m(23). -4 Let i(g) = 39*g + 8. Give i(-1). -31 Let t(l) = 3*l**2 - 116*l + 1032. Give t(25). 7 Let s(m) = m**3 + 54*m**2 + 288*m + 10. Calculate s(-48). 10 Let g(m) = 88*m - 263. Give g(3). 1 Let u(r) = r**3 + 51*r**2 - 49*r - 35. Give u(-52). -191 Let c(w) = -3*w**3 - 108*w**2 - w - 70. Give c(-36). -34 Let o(y) = -52*y - 458. Give o(-10). 62 Let a(b) = b**3 + 4*b**2 - 39*b + 58. Give a(-9). 4 Let p(m) = m**3 + 19*m**2 + 23*m + 88. Give p(-18). -2 Let x(u) = -1332*u + 2666. Calculate x(2). 2 Let q(j) = -72*j - 631. Calculate q(-9). 17 Let x(p) = -41*p**2 + 1231*p - 62. Give x(30). -32 Let n(m) = -10*m + 293. Determine n(22). 73 Let j(a) = -35*a + 510. What is j(15)? -15 Let n(h) = 18*h**2 + 237*h + 49. What is n(-13)? 10 Let w(a) = a**3 + 8*a**2 - 39*a - 168. What is w(-10)? 22 Let h(a) = 205*a - 1219. What is h(6)? 11 Let q(h) = -h**3 - 15*h**2 - 193*h - 2170. Determine q(-13). 1 Let k(n) = 2*n**2 - 43*n + 226. Calculate k(12). -2 Let u(c) = -3*c**2 + 641*c + 1933. What is u(
{ "pile_set_name": "DM Mathematics" }
ative of 17*c**3*s + 61*c**3 - 2*c*s**2 + s**2 + 2 wrt s? 17*c**3 - 4*c*s + 2*s Find the second derivative of 67*d**4*w - 16*d**2*w**3 + d*w**3 - 433*d wrt d. 804*d**2*w - 32*w**3 Find the third derivative of 8605*f*z**4 - f*z**3 - 3*f*z**2 + 175*f - 2*z**4 + 2*z wrt z. 206520*f*z - 6*f - 48*z What is the third derivative of -2685*u**5 + 2*u**2 + 34*u - 2 wrt u? -161100*u**2 What is the first derivative of -192*m**2 + m + 903 wrt m? -384*m + 1 What is the first derivative of 5*b**4*m**2 - b**2*m**2 - 8*b**2 + 2*m**2 - 471*m wrt b? 20*b**3*m**2 - 2*b*m**2 - 16*b Find the second derivative of 58*s**4 + s**3 - 1803*s + 2 wrt s. 696*s**2 + 6*s What is the second derivative of 151*b**2*t**3*w**2 + 4*b*t**3 + 3*b*t**2 + b*t*w**2 - 6*t**3 wrt b? 302*t**3*w**2 What is the first derivative of -1015*q**2*t - 503*q**2 wrt t? -1015*q**2 Differentiate 1359*c**3*i**2 + 2*i**2 + 757 wrt c. 4077*c**2*i**2 Find the first derivative of 127*y**2 - 175 wrt y. 254*y Find the first derivative of -y*z**4 - 16*y*z**3 + 84*y + 7*z - 13 wrt z. -4*y*z**3 - 48*y*z**2 + 7 Find the third derivative of 1788*k**5 + 33*k**2 + 2*k wrt k. 107280*k**2 Find the second derivative of 924*a**3*k**3*o**2 - 10*a**3*k**2*o + 5*a**3 + 88*a**2*k**2 + a*k**3*o - 2*a*o**2 wrt o. 1848*a**3*k**3 - 4*a What is the second derivative of -25*a**4*i + a**3*i**2 - 56*a**2*i + 2*a*i + 5083*i**2 wrt a? -300*a**2*i + 6*a*i**2 - 112*i What is the second derivative of 4*l*v**4 + 127*l*v**3 - 310*l*v + l + 4*v**3 - 4*v wrt v? 48*l*v**2 + 762*l*v + 24*v What is the first derivative of 8*r**3 + 49*r + 3419? 24*r**2 + 49 Find the second derivative of -14*r**2*z**2 + 7*r**2*z - 2*r*z**5 - 4*z wrt z. -28*r**2 - 40*r*z**3 What is the first derivative of -2*a**2 - 91*a - 517 wrt a? -4*a - 91 Differentiate 8*l*s - 3268*l*t**2 - 65*s*t**3 + t**3 with respect to s. 8*l - 65*t**3 What is the third derivative of -1992*r**5 + 130*r**2 wrt r? -119520*r**2 Differentiate -686*d**4 + 1044. -2744*d**3 What is the second derivative of -94*q**4 - q**2*x**2 + 212*q*x**2 wrt q? -1128*q**2 - 2*x**2 What is the derivative of -2746*b**3 - 3189? -8238*b**2 Find the third derivative of -115*g**4*j**3 + g**2*j**3 - 2*g**2 + 146*g wrt g. -2760*g*j**3 What is the second derivative of -2240*u**2*v**2 + 3*u*v + 3*u - 98*v**2 wrt u? -4480*v**2 Find the first derivative of 5405*f - 3935. 5405 Find the second derivative of 2*m**3 + 67*m**2 - 100*m. 12*m + 134 What is the second derivative of 415*w**4 + 3*w - 180? 4980*w**2 Find the first derivative of l**3*p**2 + 193*l**2 + 449*p**2 + 3 wrt l. 3*l**2*p**2 + 386*l What is the third derivative of -39*l**6 - 230*l**2 wrt l? -4680*l**3 What is the third derivative of -8*r**2*s**2*x**3 - r**2*s - 2*r*s**3*x**3 + r*s**3 + 4*r*s*x**2 - 2*r*s wrt x? -48*r**2*s**2 - 12*r*s**3 What is the second derivative of -2479*d**4 + 7*d - 154 wrt d? -29748*d**2 What is the derivative of -4*f*m**2*x - 593*f*x + m**2*x - 2*m**2 + 700*m*x - 2*x wrt f? -4*m**2*x - 593*x What is the third derivative of -2*a**6*x - 3*a**3*x - 155*a**3 - 126*a**2*x - 2*x + 1 wrt a? -240*a**3*x - 18*x - 930 What is the third derivative of -g**6 - 360*g**5*n - 289*g**2 + g*n wrt g? -120*g**3 - 21600*g**2*n What is the third derivative of -9*j**3*x**3 + 19*j**3*x**2 - 12*j*x**2 + 2*x**3 wrt x? -54*j**3 + 12 Differentiate m*u**2 - 2*m - 3389*u**4 + u + 13687 wrt u. 2*m*u - 13556*u**3 + 1 Find the third derivative of -343*d**5 - 4*d**3*u + d**2 + 277*u wrt d. -20580*d**2 - 24*u Find the third derivative of 23*h**5 + 4*h**4 - h**2 - 26 wrt h. 1380*h**2 + 96*h Find the first derivative of 21*c*u**2 - 4*c + 12*u**2 wrt c. 21*u**2 - 4 Find the first derivative of 174*v + 231. 174 Find the first derivative of -2*p**3 - 3047*p**2 - p + 19615 wrt p. -6*p**2 - 6094*p - 1 What is the first derivative of 52*f**2 - 6*f - 974 wrt f? 104*f - 6 What is the second derivative of -202*y**5 + 86*y + 19 wrt y? -4040*y**3 What is the third derivative of -4*b**5 - 177*b**3 - 6*b**2 + 86 wrt b? -240*b**2 - 1062 What is the first derivative of -2*i**2*j*r - 2*i**2*r + i**2*u + 79*i*j*u - 45*r*u wrt j? -2*i**2*r + 79*i*u Find the second derivative of 969*a**2*o**3 + 2560*a*o**3 - a*o wrt a. 1938*o**3 What is the second derivative of s*y**4 - 2*s*y**2 - 9*s*y + 13*s - 275*y**4 wrt y? 12*s*y**2 - 4*s - 3300*y**2 What is the first derivative of -79*k**3 + 179? -237*k**2 Differentiate -2*k**2*l**2*r - 26*k**2*n - 3*k**2*r + 72*k*n*r + 5*l**2*n - l**2 with respect to r. -2*k**2*l**2 - 3*k**2 + 72*k*n What is the third derivative of -48*d**5*k - d**4 + 5*d**3*k + 244*d**2*k - 4*k wrt d? -2880*d**2*k - 24*d + 30*k Find the second derivative of -50*h**4 + 13*h - 5 wrt h. -600*h**2 What is the first derivative of -2*o**4 - 57*o**2 + 99? -8*o**3 - 114*o What is the second derivative of -154*m**3 + 3*m**2 - 9*m - 14 wrt m? -924*m + 6 Find the second derivative of -5*g**5 - 4*g**3 + 326*g**2 + 14214*g. -100*g**3 - 24*g + 652 Find the third derivative of -2*f**4*s**3 + 11*f**4*s + 4*f**4 + f**2*s - 222*s**3 wrt f. -48*f*s**3 + 264*f*s + 96*f What is the derivative of -o**2*s*y - 4*o**2*s - o**2*y - 284*o**2 - 18*o*s**3*y wrt s? -o**2*y - 4*o**2 - 54*o*s**2*y Find the third derivative of 754*t**4 + 4*t**3 - t**2 + 1303*t - 1 wrt t. 18096*t + 24 Find the first derivative of -12*c**3*k - 274*c**3 - 14*c + 337*k**2 wrt k. -12*c**3 + 674*k Find the first derivative of -f**2*l**2*z - 4*f**2*l - 7*f**2 - f*l*z + 2*f*z - 5*z wrt l. -2*f**2*l*z - 4*f**2 - f*z What is the second derivative of 11*a**4*u**2 - 2*a**2*u**2 - 2*a*u**2 - 114*u**2 wrt a? 132*a**2*u**2 - 4*u**2 What is the second derivative of 36*i**3*o**2 + 2*i**3*o - 15*i**2*o - 2*i*o**2 + 2*i*o wrt o? 72*i**3 - 4*i What is the first derivative of 35*w**3*x + 4347*w**3 - 72*w**2*x**2 - 2*w*x**2 wrt x? 35*w**3 - 144*w**2*x - 4*w*x What is the second derivative of -114*s**3*u**2*y + 14*s**3*y - 12*s*u**2*y + 5*u*y wrt s? -684*s*u**2*y + 84*s*y What is the second derivative of 1306*d*f**4 + 12*d - 46*f wrt f? 15672*d*f**2 What is the third derivative of a*d**5 - 83*a*d**4 - 4*a*d - 24*d**2 wrt d? 60*a*d**2 - 1992*a*d What is the third derivative of 28*t**5 + 15*t**3 - 1101*t**2? 1680*t**2 + 90 Find the third derivative of -1359*k**5 - 1389*k**2 wrt k. -81540*k**2 What is the third derivative of 1139*g**3*s**4 - 6*g**3*s**2 + 243*g**3 - g**2*s**4 wrt s? 27336*g**3*s - 24*g**2*s Find the first derivative of -309*g**3 + 242 wrt g. -927*g**2 Find the third derivative of -2*k*m**3*o + 266*k*m**3 - 105*k*m**2 + m**3 + 7*o wrt m. -12*k*o + 1596*k + 6 Find the third derivative of 1090*l**3*p**3*y**3 - l**3*p**3 - 2*l**2*p**3*y**3 - 89*l**2*p**3*y**2 - 3*l*y**2 - 3 wrt y. 6540*l**3*p**3 - 12*l**2*p**3 Find the first derivative of -4*r**2*z + r**2 + 255*r + z**3 + 76*z - 8 wrt z. -4*r**2 + 3*z**2 + 76 Find the third derivative of 563*a**3*p**3 - 3*a**3 - 2*a**2*p**6 + 2*a**2*p**2 - 12*p**2 wrt p. 3378*a**3 - 240*a**2*p**3 Find the first derivative of -5*g**3 + 2*g*z**3 - 94*z**3 wrt g. -15*g**2 + 2*z**3 Find the first derivative of 17*u**4 - 100*u**2 - 1446 wrt u. 68*u**3 - 200*u What is the third derivative of -8505*q**4 + 290*q**2? -204120*q What is the third derivative of -1169*i**3 + 2449*i**2 wrt i? -7014 Differentiate 5*c**2*l - 16*c**2 + 2*c*l - l - 885 with respect to c. 10*c*l - 32*c + 2*l Find the first derivative of 178*h - 26. 178 What is the derivative of 626*n*t**2 + 101*t**2 - 2*t - 20 wrt n? 626*t**2 Find the second derivative of 317*c**4 + 88*c - 2 wrt c. 3804*c**2 What is the second derivative of d*j**4 - 199*d*j**3 + 4*d*j - 2*j**3 - 14*j wrt j? 12*d*j**2 - 1194*d*j - 12*j Find the third derivative of -19753*k**3*o**2 - k**2*o**2 - 2*k**2 - 2947*k*o**2 + k wrt k. -118518*o**2 Find the third derivative of 6*m*x**3 + 24*m*x + 2*m - 169*x**3 + 4*x**2 + 2*x wrt x. 36*m - 1014 What is the derivative of 4672*o - 2025 wrt o? 4672 What is the third derivative of -117*w**3*x**2 + 7*w**3 - 140*w**2*x**2 - 19*w**2 wrt w? -702*x**2 + 42 What is the second derivative of -189*b**2*c - 80*b + c - 5 wrt b? -378*c Differentiate -315*o**2*s**2 + 69*s**2 wrt o. -630*o*s**2 Find the second derivative of -o**5 + 2*o**3*z**3 + 11*o**2*z**2 + o*z**3 - 1373*o wrt o. -20*o**3 + 12*o*z**3 + 22*z**2 What is the third derivative of -2*f**
{ "pile_set_name": "DM Mathematics" }
st the prime factors of 245/j*8/2. 7 Suppose 0 = -0*v - 2*v. Suppose v = -6*l + 251 + 175. Suppose 0 = -5*n - 0*b + 3*b + l, 0 = 5*b + 10. What are the prime factors of n? 13 Let l(a) = 4 + 3*a - a**3 - 2*a**2 + 9*a**2 + 1. Suppose -49*k - 20 = -314. List the prime factors of l(k). 59 Suppose 110*c - 179127 = 144933. What are the prime factors of c? 2, 3, 491 Let l(a) = -a**3 + 19*a**2 - 4*a - 39. List the prime factors of l(16). 5, 7, 19 Let a(d) = -d**3 - 8*d**2 + 28*d + 35. What are the prime factors of a(-14)? 3, 7, 13 Let j be (-24)/14*21/(-6). Suppose v - 60 = j*v. List the prime factors of (v/(-10))/((-9)/(-30)). 2 Let h be -8 + (43 + 0)*1. Let b(y) = y**2 + y + 5. Let t be b(-7). Let j = t - h. What are the prime factors of j? 2, 3 Let u = 36 - 58. Let n = 59 + u. What are the prime factors of n? 37 Suppose -2*m = 2*m - 108. Let o(v) = v**2 - 10*v - 11. Let k be o(11). Suppose d - 2 - m = k. What are the prime factors of d? 29 Let g(y) be the first derivative of 31*y**2/2 - 4*y - 5. Let f be g(-8). List the prime factors of ((-4)/14)/(18/f). 2 Let v(x) = 8*x**2 - x**3 - 7 + 2*x**3 - 2*x + 0*x**3 + 0*x. Let b be v(-8). What are the prime factors of (-3)/b - 237/(-9)? 2, 13 Let q = -6 + 61. Let t = q + -52. List the prime factors of t. 3 What are the prime factors of 0 - -172 - (-31 - -38)? 3, 5, 11 Suppose -6*l - 103 = -4189. List the prime factors of l. 3, 227 Let s = 50 + -26. Suppose -2*y + s + 46 = 0. Suppose 0*v - 2*v = 0, -d + 3*v + y = 0. List the prime factors of d. 5, 7 Let o(c) = -2*c**2 - 2*c**3 + 5*c**3 - 2*c**3. Let s be o(2). Suppose s*l - 34 = -l. List the prime factors of l. 2, 17 Let t be 3*(-16)/6 - 4/(-1). What are the prime factors of (3 + 30)*2 - t? 2, 5, 7 Suppose -5*w - 25 = -2*u - 3*u, -5*u - 4*w = 20. Suppose 5*i - i = u. Suppose i = l + 4*l - 10. List the prime factors of l. 2 Let d = 30 + -28. Suppose 0 = -4*t - 2*o + 8 + d, 4*t + o = 13. List the prime factors of t. 2 Let n(a) = a**2 - 4*a - 2. Let y be n(-4). Let r(s) = -2*s**2 - 14*s**3 - 4*s**3 + 4 - y*s**3 - 3. List the prime factors of r(-1). 47 Let b(o) = 14*o**2 - 6*o - 10. Let c(g) = -13*g**2 + 6*g + 9. Let s(l) = -6*b(l) - 7*c(l). List the prime factors of s(-4). 7, 19 Let w(u) = 29*u**2 - 329*u - 4. What are the prime factors of w(13)? 2, 5, 31 Let i(p) = -75*p + 82. What are the prime factors of i(-8)? 2, 11, 31 Suppose -4*t + 1 = -19. Suppose 0 = d - t*d + 288. What are the prime factors of d? 2, 3 Suppose a = -3*y - 2*a + 6222, -3*a = -4*y + 8303. What are the prime factors of y? 5, 83 Let f be 4366/16 - 8/64*-1. Suppose -2*z + f + 153 = 2*h, 4*z = -3*h + 851. What are the prime factors of z? 2, 53 Let n = -1607 + 4485. What are the prime factors of n? 2, 1439 Let t(o) be the third derivative of 0 - 1/120*o**6 + 0*o + 1/24*o**4 + 1/60*o**5 + 10/3*o**3 - 4*o**2. List the prime factors of t(0). 2, 5 Let r(d) = -d**3 - 10*d**2 - 2*d + 26. What are the prime factors of r(-13)? 13, 43 List the prime factors of 9/(-36) - (3 - (-253)/(-4)). 2, 3, 5 List the prime factors of (1410/3)/(13/((-39)/(-2))). 3, 5, 47 Let x(p) = p**2 + 4*p + 4. Let y be x(-3). Let z(v) = -v**3 - y - 4*v + 2 + 2*v**3 + 2. List the prime factors of z(2). 3 Let s(t) = 4*t. Let l be s(1). Suppose -5 = -4*k + 5*o + 13, 0 = -5*k - 5*o. Suppose -3*y = -k*y, -4*w + 52 = l*y. List the prime factors of w. 13 What are the prime factors of ((-17)/3)/(28/(-8484))? 17, 101 Let s = -28 - -37. Suppose s*g - 302 = 7*g. What are the prime factors of g? 151 Suppose -3*z - 2*z = -25. Suppose 0 = -z*x + 2*x. Suppose w - 5*g + x*g = -15, 2*g - 30 = -2*w. List the prime factors of w. 2, 5 Let n = -718 - -1334. What are the prime factors of n? 2, 7, 11 Let m be 51/136 - (-1466)/16. Suppose 8*t - 12*t + m = 0. What are the prime factors of t? 23 Let q = 10 - -6. Let r(y) = -y**3 + 17*y**2 - 12*y - 15. Let n be r(q). Let c = n - 26. List the prime factors of c. 23 Suppose 5*t - 10*t + 25 = 0. Suppose 27 = 2*o + 3*z - 100, -15 = -t*z. List the prime factors of o. 59 Suppose 111*x = 101*x + 39330. List the prime factors of x. 3, 19, 23 Let h be (34/(-8))/(7/(-420)). Suppose 2*f - 7*f + h = 0. List the prime factors of f. 3, 17 Suppose 42*y + 129 = 39*y. List the prime factors of (y/4)/((-6)/48). 2, 43 Suppose 0 = -3*d - 2*d + 25. Suppose -3*h - d*b + 0*b + 91 = 0, -2*h + 34 = -2*b. List the prime factors of h. 2, 11 Let j be -3*3/(-9)*-1. Let s be (j/(-5))/(3/15). What are the prime factors of (1/2)/(s/62)? 31 Let h(f) = -f**3 - 12*f**2 + 15*f - 5. Let s be h(-13). Let t = 105 + s. List the prime factors of t. 2, 37 Let t(v) = 3 - 6 - 24*v - 10 - 15*v. Let z be t(3). What are the prime factors of (9 + -11)*z/4? 5, 13 Let o(w) = w**3 + 6*w**2 + 4. Let d be o(-6). Suppose 11 - 3 = d*t. Suppose -p - 2 = 1, -2*i + 12 = t*p. What are the prime factors of i? 3 Let f be 3/(-15) - 3/(-15). Let c = 12 + -18. Let k = f - c. What are the prime factors of k? 2, 3 Let x(l) = 3*l + 34. Let q be x(-11). List the prime factors of (-4 + 4 - q)*2*-17. 2, 17 Let d(m) = 2*m**3 - 115*m**2 - 135*m - 27. What are the prime factors of d(59)? 3, 19, 43 Suppose 0 = 9*h + 458 - 2060. Suppose -3*l + h + 149 = 0. List the prime factors of l. 109 Let p(h) = 586*h**2 + 2*h - 2. List the prime factors of p(-1). 2, 3, 97 Suppose 4*d = -8 + 20. Suppose d*q - 590 = q. What are the prime factors of q? 5, 59 Let m(j) = -3*j - 2. Let f = 26 - 29. Let b be m(f). Let c(k) = -k**3 + 7*k**2 + 4*k + 10. What are the prime factors of c(b)? 2, 19 Suppose 212 = 3*r + 4*p, -7*p - 59 = -r - 6*p. Suppose -c = -y + 4*y - r, -2*y + 61 = -3*c. List the prime factors of y. 23 Suppose 2*o = 3*o. Suppose -10 = k + 5*a, 2*k - 3*a + 4 + 3 = o. Let h(i) = -i**2 - 7*i - 4. What are the prime factors of h(k)? 2, 3 Let y be (40/(-12))/(2/(-93)). Suppose -2*v + 0*v + 16 = -2*m, 0 = -m - 2. Suppose q = v*q - y. What are the prime factors of q? 31 Let o = 4521 - 1586. List the prime factors of o. 5, 587 Let k = 431 + 901. What are the prime factors of k? 2, 3, 37 Suppose 4*z = 3*z - 2*z. Suppose -3*f - 6 = z, 172 = -2*q + 3*q + 5*f. List the prime factors of q. 2, 7, 13 Suppose 3*j - 7*j = -5*f + 42, -5*f + 36 = -2*j. Let s = f - -27. List the prime factors of s. 3, 11 Let q = 0 - -1. Let d be -8 + 0 + (q - 3). Let s(j) = j**2 + 8*j - 4. List the prime factors of s(d). 2 Let h(q) = 11*q + 11. Let v be h(-1). What are the prime factors of 179 + v - (9/3 + -4)? 2, 3, 5 Suppose -273 - 487 = 5*j. Let h = -61 - j. What are the prime factors of h? 7, 13 Let s(c) = 31*c + 76. List the prime factors of s(14). 2, 3, 5, 17 Suppose 4*m - 512 = 704. List the prime factors of m. 2, 19 Suppose -33*z - 1980 = -37*z. What are the prime factors of (z/(-22))/((-3)/4)? 2, 3, 5 Let u(v) = -v - 12. Let z be u(-6). Let s = -6 - z. What are the prime factors of 8/(3 + 1) - s? 2 Let d(n) = -2*n - 28. Let q be d(-19). Suppose 21 = 3*j - 3*x, -4*j + 73 = -5*x + q*x. What are the prime factors of j? 2, 3 Let h = 695 - 163. List the prime factors of h. 2, 7, 19 Let v(s) = -s**3 - 10*s**2 - s - 8. Let i be v(-10). Suppose -5*y = -2*u - 305, 0 = 2*u + i*u. What are the prime factors of y? 61 Suppose -18*u = -6*u - 2700. Let j = u + -103. What are the prime factors of j? 2, 61 Let p(q) be the third derivative of 19*q**6/120 + q**4/4 - 3*q**3/2 - 31*q**2. List the prime factors of p(2). 5, 31 Let t(f) = 20*f. Let i be t(-1). Let s be (i/12)/(2/6). What are the prime factors of (4/(-12))/(s/165)? 11 Let s be (-3 - 28/(-8))*18. Let q(g) = -3*g - s*g**2 + g**3 - 7*g**2 + 21*g. What are the prime factors of q(15)? 3, 5 Let z be 18*(7/((-63)/(-6)))/1. Let m = z + 57. What are the prime factors of m? 3, 23 Let h(v) = v**3 - 29*v**2 + 9*v + 63. List the prime factors of h(29). 2, 3 Let s(k) = -4*k - 38. Let g(a) = 5*a - 4. Let l be g(-2). What are the prime factors of s(l)? 2, 3 Let m be 6/(-8)*-4 + 19. Suppose -3*r - m = 14. Let d(o) = o**3 + 11*o**2 - 14*o - 18. What are the prime factors of d(r)? 2, 3 What are the prime factors of (-2)/(-8) + 1953/28? 2, 5, 7 Let b(k) = k**2 - 3*k. Let t(c) = 2*c**2 - 4*c. Let h(n) = -4*b(n) + 3*t(n). Suppose -4*i = -3*z - 1, 2*z - 4*i + 3 = i. List the prime factors of h(z). 2 Let a be -2 - ((-9)/(-3) - 3). Let j(g) = -4*g - 3. Let m be j(a). Suppose -m*x - o = -8
{ "pile_set_name": "DM Mathematics" }
, 16*w - 15*w - 4*v - 29 = 0. Calculate the remainder when o is divided by w. 2 Suppose -20*y + 76 = -39*y. Let s(x) = 2*x**2 - 10*x - 60. Calculate the remainder when s(y) is divided by 4. 0 Calculate the remainder when ((-2)/3 - (1 - 372)) + (-118)/(-177) is divided by 22. 19 Let i(w) = 8*w**2 + 156*w - 584. What is the remainder when 2200 is divided by i(4)? 16 Let z(f) = -f**2 - 12*f + 4. Let r be z(-10). Let q = 48 + r. Suppose -2*d = 2*d - 2*b - 100, 5*d - 125 = -b. What is the remainder when q is divided by d? 22 Let j be (((-192)/10)/8)/(6/(-15)). Calculate the remainder when -1 - (-1 - (5 - (-3 + j))) is divided by 2/5 - 32/(-20). 0 Let b(n) = n**3 + 12*n**2 - 11*n - 14. Let a = -172 - -166. What is the remainder when b(a) is divided by 30? 28 Let p = 7827 + -7666. What is the remainder when 3701 is divided by p? 159 Let c(g) = 3*g**2 - 368*g - 3062. Calculate the remainder when 630 is divided by c(-8). 38 Let p = -7 + 20. Suppose 27*w - 18*w + 8 - 26 = 0. What is the remainder when p is divided by w? 1 Let r(m) = -26*m + 1. Let j(k) = 26*k - 2. Let w = 27 + -22. Let b(g) = w*r(g) + 6*j(g). Calculate the remainder when b(2) is divided by 24. 21 Let z(k) = -2*k**2 + 27*k + 4. Let y be z(12). What is the remainder when y - ((-3)/6)/(2/4) is divided by 6? 5 Suppose 0 = v + 21 - 23, 3*g - 779 = -v. Calculate the remainder when g is divided by 7. 0 Let n(u) = -u**2 + 15*u - 19. Suppose -75 = -4*p + 5*l, 3*l = p + 5 - 22. Calculate the remainder when n(9) is divided by p. 15 Let d(f) = -7*f**2 - 8*f - 3. Let x be d(4). What is the remainder when (-22790)/(-159) - (0 + (-2)/(-6)) is divided by ((-2)/(-6))/((-1)/x)? 45 Let d be -28 + (-1)/(0 - -1). Let l = 9295 + -9277. Calculate the remainder when (-5 + 4)*d/1 is divided by l. 11 Suppose -36*d + 281 + 3901 = 15*d. What is the remainder when 1470 is divided by d? 76 Suppose -4*y + 2*t - 27 = 3*t, -5*y + 5*t = 65. Calculate the remainder when y/(((-2)/388)/(6/24)) is divided by 30. 28 Suppose 0*x + 2*x = -i + 51, 5 = -5*i. What is the remainder when 590/5 + 2 + 4 + 0 is divided by x? 20 Let c(i) = -i**2 - 47*i - 190. Let m be c(-22). Suppose 8*g - 5*g + n - 216 = 0, 5*g - 2*n - m = 0. Calculate the remainder when 140 is divided by g. 68 Suppose -8 = 5*n - 23. Let i be ((-10)/(-8) + 1/4)*18. Suppose -3*y - 7 - n = -a, 4*a + y - i = 0. Calculate the remainder when a is divided by 2. 1 Let x(t) = t**3 - 11*t**2 - 16*t - 27. Let v be x(10). Let j = v - -441. What is the remainder when j is divided by 28? 14 What is the remainder when 698 is divided by ((-1077)/(-21) - 1) + 24/(-84)? 48 Let r = -24 + 45. Suppose 7 - r = -5*f - 2*l, 8 = 4*l. Suppose -2*u + 63 = 3*b, f*b - 5*b + 3*u = -63. What is the remainder when 59 is divided by b? 17 Let w be (3 - 33/12) + 4/(-16). Suppose -2*s + u + 23 = 0, u + w + 9 = s. Suppose 2*b = -b + 12. Calculate the remainder when s is divided by b. 2 Suppose -5*k = -3*z - k + 516, -4*z = -2*k - 698. Suppose -78*b = -86*b + z. Calculate the remainder when 170 is divided by b. 16 Let k(h) = h**3 + h. Suppose 0 + 15 = -5*a, y = 5*a + 84. Let f = y + -2. Calculate the remainder when f is divided by k(2). 7 Let i = -112 + 121. Let m(k) = 30*k - 1. What is the remainder when m(3) is divided by 3*(-6)/i + 47? 44 Calculate the remainder when 498 is divided by (252 - 6) + 1*(-8)/(-4). 2 Let s(d) = 2*d**2 + 10*d + 9. Let n be s(-4). Let u = n - -3. Suppose -2*p + 26 = 2*g, -u*p = 2*g - 2 - 50. What is the remainder when 22 is divided by p? 9 Let q = -81 + 84. Suppose 0 = -i - q*i + 396. What is the remainder when i is divided by 25? 24 Let u(c) = 3*c + 150. Let x = 263 - 304. What is the remainder when 458 is divided by u(x)? 26 Suppose 2*z = h - 7, -103*h = -108*h + z + 80. What is the remainder when 638 is divided by h? 9 Let u(d) = -d**3 + 67*d**2 + 62*d + 116. Calculate the remainder when u(67) is divided by 178. 176 Let w(c) = 112*c + 601. What is the remainder when 626 is divided by w(-5)? 11 Suppose 3*i = -2*w + 150, 3*w + 39 = 2*i - i. Let s(n) = n**3 - 7*n**2 - 4*n - 6. Calculate the remainder when i is divided by s(8). 22 Let u = 889 + -601. What is the remainder when 45 is divided by (u/(-60))/(2/(-10))? 21 Let l(o) be the third derivative of 19*o**4/24 - 2*o**3/3 - 22*o**2. Calculate the remainder when l(4) is divided by 4. 0 Let z(x) = x**2 + 28*x + 14. Let j be z(-28). What is the remainder when 642 is divided by j/((-8 + 5)/(-3))? 12 Suppose 4*t = 10228 + 45073 - 7745. Calculate the remainder when t is divided by 29. 28 Let q = -3413 - -3488. What is the remainder when q is divided by 23? 6 Let s(p) = -14*p**2 - 129 + 2*p**2 + p**3 + 14*p + 105. Let h be s(11). Suppose -f = -h*f + 296. What is the remainder when f is divided by 20? 17 Let u(j) = 4*j**2 - 182*j - 81. Calculate the remainder when 1384 is divided by u(46). 9 Let g(u) = 1815*u - 13576. Calculate the remainder when g(8) is divided by 47. 4 Suppose 0 = 28*z - 52*z + 14088. What is the remainder when z is divided by 76? 55 Let y(g) = -19 - 39 + 188 - 10*g + 193. Calculate the remainder when y(0) is divided by 18. 17 Suppose 1778243 = 181*y + 102*y + 609453. What is the remainder when y is divided by 1029? 14 What is the remainder when 6081 is divided by 6*(-2 + 222/18)? 5 Let h = -3924 - -3996. What is the remainder when 717 is divided by h? 69 Let a = 313 + -193. Suppose y + 181 = 3*w, -a - 6 = -2*w - 2*y. Let g = w - 58. Calculate the remainder when 15 is divided by g. 0 Suppose 0 = -58*n + 49*n + 1773. What is the remainder when n is divided by 25? 22 Let j(a) = 9*a - 5. Let o(z) = -z**3 - 119*z**2 + 3098*z - 389. What is the remainder when o(-141) is divided by j(6)? 28 Let d = 23233 - 19137. Calculate the remainder when d is divided by 71. 49 Let u = -8620 - -8697. What is the remainder when 758 is divided by u? 65 Let i(u) = -4*u**2 + 3*u + 32 - 61 + u**3 - 6*u**2 + 38. What is the remainder when i(10) is divided by 14? 11 Let m(j) = j**3 - 12*j**2 + 2*j + 4. What is the remainder when (-1313)/(-8) - (-23)/(-184) is divided by m(12)? 24 Let v = 2915 - 2891. Calculate the remainder when 7533 is divided by v. 21 Let p(y) = 7*y**2 + 4*y**2 - 2*y**2 + 9 + 5*y + y**2. Let k be p(-2). Calculate the remainder when 2 is divided by 6/39*-1 - (-45)/k. 0 Let x(b) = b - 18. Suppose -4*r = r. Let i be x(r). Calculate the remainder when 71 is divided by (-213)/i - 2/(-12). 11 Suppose 3*y - 2*y + 11 = -4*a, 2*y - 4*a = 2. Let o be (25/10 + -1)/(y/(-142)). Suppose p - 13 = o. Calculate the remainder when p is divided by 22. 18 Let y = -12141 - -12310. Calculate the remainder when 333 is divided by y. 164 What is the remainder when 776*(-11 + 360/32) is divided by 98? 96 Let v = -14240 - -14808. What is the remainder when v is divided by 215? 138 Suppose -4*o + 63 = 263. Let p(w) = -73*w**3 + w. Let s be p(-1). Let m = s + o. Calculate the remainder when m is divided by 9. 4 Let x = 1962 - 542. Suppose 1423*f - x*f = 315. What is the remainder when f is divided by 29? 18 Let x(u) = u**2 + 8*u - 26. Let s = 236 - 120. Let b = s - 112. What is the remainder when 62 is divided by x(b)? 18 Suppose -49 = -5*a + 171. Let i(b) = -25*b**3 + 628*b**2 - 51*b - 205. Calculate the remainder when i(25) is divided by a. 43 Let i be (-26 + 20)*2/(-6). Suppose i*x = -3*w + 145, -3*x + 7*w = 10*w - 225. What is the remainder when 316 is divided by x? 76 Let l = -82040 - -82117. Suppose 2*z + 2*o + 2*o - 48 = 0, -3*o - 81 = -3*z. Calculate the remainder when l is divided by z. 25 What is the remainder when (-1)/34*(-128)/(-32) - 180820/(-68) is divided by 95? 94 Let x(u) = 81*u**2 - 21*u + 8. Calculate the remainder when 765 is divided by x(-2). 17 Suppose 0*n - 17*n = -14586. Suppose -8*m - n = -21*m. Calculate the remainder when m is divided by 17. 15 Let d = 17 + -321. Let v = -213 - d. Calculate the remainder when v is divided by 123/(-82)*(280/(-18) + 8/36). 22 Suppose 9*i + 21*i - 30 = 0. Let p(f) = 2*f**2 - f + 4*f**3 - 6*f**3 + 27*f**3 + 1 - f. What is the remainder when 51 is divided by p(i)? 25 Let c = 1545 + -1056. What is the remainder when c is divided by 20? 9 Suppose 5*m - 384 = -d, -2*m = -m - d - 72. Calculate the remainder when m is divided by -24 + (18 + 58 - -20). 4 Calculate the remainder when (-295)/(-15)
{ "pile_set_name": "DM Mathematics" }
**3 - 7. What is the least common multiple of n(-5) and g? 20 Let n = 176/41 + 1923/574. What is the common denominator of (89/5)/(7/5 + -5) and n? 126 Let k = -22 - -14. Calculate the lowest common multiple of 3 + 0 + -3 + 1 and -2 + (-1 - (-1 + k)). 6 Suppose 3*q - 4*q = -1, 0 = -5*a + 4*q + 106. Calculate the least common multiple of 10 and a. 110 Let m = 21 + -14. What is the least common multiple of m and 1? 7 Let l be -1 - 5*(-1 - -2). Let v be ((-45)/(-2))/((-3)/l). Suppose 5*r + v = 145. Calculate the least common multiple of r and 20. 20 Let g = 283 - 277. Let v be (-118)/(-5) - 4/(-10). Let d = v - 14. Calculate the lowest common multiple of d and g. 30 Calculate the common denominator of (-67)/(-30) - 1*(-2)/(-10) and -44/39. 390 Let v = 1069/94 - 546/47. What is the common denominator of -9/4 and v? 188 Let o = 54528926495 + -3508936420060921/64350. Let b = 17/1287 + o. What is the common denominator of b and -5/4? 100 Suppose 0 = 4*d - 6*d + 4. Suppose -3*a + 2*n = -0*a - 13, 5*n - 20 = 0. Calculate the smallest common multiple of a and d. 14 Let l = 3527/40 - 459/5. Suppose s - 5*a = -a - 36, -s - 16 = a. Calculate the common denominator of l and (-15)/(-6)*19/s. 8 Calculate the common denominator of ((-2)/36)/((-2)/(-86)) and 65/22. 198 Let f(g) = 111*g**2 + 2*g + 2. Let d be f(-2). What is the common denominator of -131/6 and d/70 + (-2)/(-7)? 30 Let v(x) = x - 1. What is the lowest common multiple of 20 and v(3)? 20 Let i(v) = v + 35. Let x be i(0). Suppose 0 = -5*w - 0*w + x. Suppose 0 + 22 = 2*z. Calculate the least common multiple of z and w. 77 Calculate the lowest common multiple of 4 and (-3 - (-10)/4)*-40. 20 Suppose -2*m + 5*m = 60. Suppose -17 = -2*k + 5*f, -f = 5*k - 16 - 13. Calculate the smallest common multiple of k and m. 60 Let b = -1582 - -6259/4. Let p = -43067/10 - -4302. What is the common denominator of b and p? 20 Let b be -1 - (-49593)/24291*-2. Let o = b + -1/10796. Calculate the common denominator of ((-84)/(-90))/(8/102) and o. 60 Find the common denominator of (-2)/(-24)*69/(-5) and 683/90 - (-7)/(-35). 180 Suppose -5*v + 2*n + 4 = 0, 3*n = 4*v - 2*n + 7. What is the common denominator of 61/10 and 1/v*(-138)/9? 30 Suppose j + 3*j - 12 = 0. Suppose o - 10 = -2. Suppose -4*a + 0 = -o. What is the lowest common multiple of j and a? 6 Let c = -580255/94 + 6173. Let m = c + -4951/846. Find the common denominator of 2/9 + 3356/288 and m. 72 Let p = 98 + -163. Find the common denominator of 2 + 0 - p/(-8) and 11/3 - (2 - 1). 24 Let c = -44866/11 - -4076. Find the common denominator of 8/7 and c. 77 Let l be 3 + (-3 - 14/(-44)). Let a = 17800/11 + -1616. Let h = a + l. What is the common denominator of 47/4 and h? 4 Let t = 4049/10 + -415. Calculate the common denominator of 117/10 and t. 10 Suppose 3*k - 20 = 2*j, 0 = k - 2*j - 3*j - 24. Calculate the smallest common multiple of k and 22. 44 Let s(c) = -2*c - 8. Suppose 4 = k, 7*i - 2*i + 4*k - 51 = 0. Suppose 0 = 3*f + i + 20. What is the lowest common multiple of 4 and s(f)? 20 Let v be 52/14 - 4/(-14). Suppose -v*h + 12 = -0*h. Calculate the least common multiple of (40/(-14))/((-6)/21) and h. 30 Let v = 9535/6 - 1593. Let b = 21053/10 + -2107. Find the common denominator of v and b. 30 Suppose 4*c - 2*c + 2*u - 10 = 0, -6 = -3*u. Let j(r) = -5*r + 3*r + 1 - r + r + c*r**2. What is the least common multiple of 4 and j(3)? 44 Let f = 20 + 52. Suppose -o = -5*o + f. What is the smallest common multiple of 10 and o? 90 Suppose 2*o = -5*t + 15, 3*t = -o + 2*o + 20. Let p(n) = -n**3 + 6*n**2 - 3*n - 4. Let d = 50 + -30. What is the lowest common multiple of p(t) and d? 60 Let v(r) = -r**2 + 6*r - 3. Let t be ((-3)/(-4))/((-1)/12). What is the least common multiple of v(4) and (-6)/t*3 - -3? 5 Suppose -726 = 2*q - 5*q. Let s = 10114 + -161925/16. What is the common denominator of s and q/(-12)*1 - 0? 48 Suppose -6*v = -3*v - 12. Let h be 264/42 - 4/14. Suppose -2*m + 3*b - 16 = -h*m, -4*m + 5*b + 16 = 0. Calculate the lowest common multiple of v and m. 4 Let o be 2/(-12)*1041/6. Let m = -8411 + 50159/6. Let h = o - m. Find the common denominator of h and 67/6. 12 Let i = 9086/7599 + -35/149. Find the common denominator of i and 31/9. 153 Let o = 47/11 - -87/44. What is the common denominator of -81/10 and o? 20 Suppose -c + 2*s = -6, -5*s = 2 - 27. What is the least common multiple of c and (-4)/(-6) - 116/(-6)? 80 Let k = 71/5 + -211/30. Find the common denominator of 44/5 and k. 30 Let s be 2*1 - 28920/32. Let o = -891 - s. Calculate the common denominator of 21/5 and o. 20 Let g(u) = u**3 + u**2 - 2*u + 1. Calculate the least common multiple of g(1) and (102/119)/(2/14). 6 Let m be 6/10 - 336/35. What is the common denominator of -49/8 and (-136)/(-10) - m/(-3)? 40 Suppose -2*i + 16 + 50 = 0. Find the common denominator of 11/16 and i/80 + 2/5. 16 Calculate the least common multiple of (3 + -1)/((-7)/(-63)) and 18. 18 Let m(c) be the second derivative of 5*c**3/3 + c**2/2 - c. Calculate the smallest common multiple of m(1) and 9. 99 Let f be (-2)/10 - (-738)/(-10). Let v be 2/(-9) - f/9. Suppose b - 5*s - v = 0, -2*b + 30 = s - 4*s. Calculate the lowest common multiple of b and 22. 198 Let g = 2 - 0. Suppose -3*i + 45 = g*i. What is the lowest common multiple of i and 9/(-15) - (-38)/5? 63 Let h = 29578/11 + -2685. Let i = 8233/8 - 1032. What is the common denominator of h and i? 88 Suppose 3*t - 6 = 0, 2*t + 61 = -2*z - 3. What is the common denominator of -53/4 and z? 4 Suppose 0 = -2*l + 6*l - 88. Suppose 4*b - l + 2 = 0. Let x = -4 + b. Calculate the lowest common multiple of 7 and x. 7 Let l = -2 + 5. Suppose -4*q + 3*t + 102 = 8, l*t + 116 = 5*q. What is the least common multiple of q and 4? 44 Suppose -30 = -3*r - 3. What is the least common multiple of 7 and r? 63 Let y(m) = -m**3 + 3*m**2 - 2*m + 1. Let b be y(3). What is the lowest common multiple of 22*(b/2 + 3) and 11? 11 Find the common denominator of 255/(-27) - -1*(1 + 0) and 35/8. 72 Let u(w) = 5*w**2. Suppose -4*x + x + 21 = 0. Suppose x = g + 3. What is the smallest common multiple of g and u(2)? 20 Let g be 3/(4/((-944)/(-12))). Suppose 29 + g = 4*d. Calculate the common denominator of d and 10/19. 19 Let k = 7 + -4. Suppose 0 = 3*b - 2*j - 5, j + 3*j = -3*b - 1. Calculate the least common multiple of k and b. 3 Let x = -14 + 28. Let o(p) = p**2 + 6*p - 14. Calculate the least common multiple of x and o(-10). 182 Suppose 0*h = -5*h + 25. Suppose 0*z - z = -2*n + 10, z + n - h = 0. Calculate the least common multiple of (2*12)/2 - z and 22. 132 Let c be 1/4 - 114/(-60). Let s = 102/5 - c. What is the common denominator of s and -63/4? 4 Let m(s) = -s**2 + s + 10. Let u be -1 + (-2)/(-4)*2. Suppose -z = u, -2*f + 4*z + 2 + 2 = 0. Calculate the lowest common multiple of m(0) and f. 10 Let s(y) = -y**2 - 3*y + 4. Let k be s(-3). Calculate the common denominator of (1/3)/(k/20) and -22/5. 15 Calculate the common denominator of 1 + (2 - 3 - (-278)/24) and 49/30. 60 Let j = -54965/14252 + -1/2036. Let h(n) = -51*n + 25. What is the common denominator of h(1) and j? 7 What is the common denominator of 69/24 - (-1 + 2) and 91/8? 8 Let a = 11 - 16. Find the common denominator of 306/(-20) - (a - -2) and 55/3. 30 Find the common denominator of 69/28 and 376/(-132)*(-2 - 15/(-12)). 308 Let o = -20381/10 - -2036. Find the common denominator of o and 93/8. 40 Let l(y) = y**2 + 8*y + 3. Let s be l(-10). Suppose s = 4*p - 9. Let u = 0 - -7. What is the lowest common multiple of p and u? 56 Let a = 27 - 19. Let f = 3 - -5. Calculate the lowest common multiple of a and f. 8 Let j = 24/85 + 1718/5355. Let q = 1993/693 - j. Let i = 23608/9 + -2630. Find the common denominator of i and q. 99 Suppose 2*h + 0*h - 4*t = -12, 0 = 5*h - 2*t - 2. What is the lowest common multiple of h and 8? 8 Let a(t) = t**3 + 8*t**2 + 4*t - 1. Let q be a(-5). Let u = q - 34. What is the smallest common multiple of u and 8? 40 Suppose 5*j = 2*j + 114156. Let t be (-92031)/j + 2/(-8). Let u = t + 2/1057. What is the common denominator of u and 59/6? 6 Suppose 3*n + 18 = 3*r, -n + 3*r = n + 15. Let x(b) = 3*b**2 + b - 2. Let q = 61 + -43. What is the smallest common multiple of x(n) and q? 198 Suppose -2 = 2*n - 0. Let v = 591
{ "pile_set_name": "DM Mathematics" }
180*z**5 Expand 2*f**3 + 2*f**3 - 2*f**3 + (-2*f**2 + f - f)*(6 - 6 - 10*f). 22*f**3 Expand (70*m + 4*m + 15*m)*(2*m**4 - 3*m**4 - 2*m**3 + 2*m**2 + 0*m**4). -89*m**5 - 178*m**4 + 178*m**3 Expand (-7 - 26 + 2559*r + 33)*(0*r - 2*r + r). -2559*r**2 Expand -4 - 14*i + 4 - 3*i + 4*i + 3*i + (5*i - i - 3*i)*(2 - 7 + 3). -12*i Expand (3*n**2 - 3*n**2 + 4*n**2)*(-3*n**2 + 33*n**2 - 2*n**3 + 2*n**2). -8*n**5 + 128*n**4 Expand (-143*i - 423 + 423)*((0 - 1 + 0)*(-i - i + i) + 3*i - i + i). -572*i**2 Expand (1 + 2 - 5)*(1 - 3 - 2)*(-s + 0*s + 2*s) + 2*s - 4 + 4. 10*s Expand (1 + 2*t**3 - 1)*(16 - 5 - 22*t + 29*t). 14*t**4 + 22*t**3 Expand (-1 + 1 - 1)*(-191*o**2 + 117*o**2 - 177*o**2) + (o + 2*o - 4*o)*(-3 + 3 - 2*o). 253*o**2 Expand 3*r**2 + 0*r**2 - r**2 + (-5*r + r + 9*r)*(3*r - 4 + 4) + 7*r**2 - 8*r**2 + 4*r + 0*r. 16*r**2 + 4*r Expand ((0 + 0 - 2*i**2)*(3*i**2 - 2*i**2 + i**2) + 3*i**4 + 2*i**4 - 4*i**4 + 0 - 3*i**4 + 0)*(-7129 + 12*i + 7129). -72*i**5 Expand 14874*o**2 - 36*o**5 + 4*o**4 - 14874*o**2 + (-4*o**3 + 0*o**3 + 0*o**3)*(-2*o**2 + o**2 + 0*o**2). -32*o**5 + 4*o**4 Expand (-4*l + 6*l - l + 1)*(-2*l**4 - l**4 + 4*l**4 + (-2*l**3 - 4*l**3 + 3*l**3)*(2*l + 2*l - l)) - 2*l**5 - l + l. -10*l**5 - 8*l**4 Expand (2*o**3 - 151 + 2*o + 3*o**2 + 8*o**2 + 152)*(2*o - 2*o + o). 2*o**4 + 11*o**3 + 2*o**2 + o Expand (-32*j - 13*j + 6*j)*(4 - 4 - 1)*(-2 - 1 + 2). -39*j Expand (-4*p**5 + 8*p**2 - 6*p**2 + 0*p**5)*((0 + 2 - 4)*(-2 + 4 + 0) + 28 + 21 + 9). -216*p**5 + 108*p**2 Expand (7*h**4 - 40*h + 40*h + (2*h**4 - 1 + 1)*(0 - 3 + 4) + (h**2 - h**2 + 2*h**3)*(0 + h + 0) + 5*h**2 - 5*h**2 - h**4)*(-h + 10*h + 5*h). 140*h**5 Expand n + n**3 + n**2 + 0*n + 0*n + (4*n - 3*n + n)*(-5*n**2 + 2*n**2 + n**2) + 1 + 2*n**3 - 1 + 3. -n**3 + n**2 + n + 3 Expand (-2*l - 2*l + 2*l)*(3*l - 7*l - 13*l). 34*l**2 Expand 4*r - r - r + (14*r + 0*r + 13*r)*(3 + 3 - 3). 83*r Expand (4 - 1 + 1)*(3 + 0 - 2)*(2*y + y - 4*y + 0 + 2*y + 0 + (0*y - y + 3*y)*(1 - 3 + 1) - y + y - y + 2*y + 0*y + y). 4*y Expand (-4*f - 2*f + 3*f)*(0 + 15 + 7) + (-3*f + f + 0*f)*(0 + 4 - 2). -70*f Expand -31*i**3 + 30*i**3 + 19*i**3 + (2*i**2 + 1 - 1)*(3*i - i - 3*i). 16*i**3 Expand (9*n + 6*n - 12*n)*(2 + 3 - 2)*(-2*n**2 - 3*n + 3*n). -18*n**3 Expand (-1 - 2 + 5)*(-h + 1 - 1)*(-3*h + 25 + h + 14). 4*h**2 - 78*h Expand (141 + 79 - 79)*(f - 2*f - f) + 4 - 3*f - 4. -285*f Expand (-b**3 + b**2 - b**2)*(-2*b + 0*b + 4*b) - 101*b + b**2 + b**3 + 13*b**4 + 102*b - 2*b**2. 11*b**4 + b**3 - b**2 + b Expand (-3*g + 6*g - 2*g + (2*g - 11*g - g)*(-2 - 1 + 4))*(9 + 5*g - 11*g**2 + 9*g**2 - 3*g). 18*g**3 - 18*g**2 - 81*g Expand (-2*r + 5*r - 4*r)*(351*r**2 + 330*r**2 - 910*r**2). 229*r**3 Expand (16 - 5 - 2)*(-4 + 1 + 1)*(-497*m - 670*m + 1308*m)*(-3 - 1 + 3). 2538*m Expand (1 - 1 + 2*u**3)*(47 + 10 + 47). 208*u**3 Expand (-3 + 2*i + 3 + (-4*i + 0*i + 2*i)*(-4 + 4 - 1) + 35 - 35 + 3*i)*(-2 - 4 + 7). 7*i Expand (-3*u + 8*u**2 - 17*u**2 + 10*u**2 - 26)*(-1 + 5 - 2). 2*u**2 - 6*u - 52 Expand (78 + 118 - 287)*(0*z + z + 0*z). -91*z Expand ((-3 + 4 - 2)*(s - s - s) - 3*s + 4*s + 0*s + 5*s - 5*s + s)*(-2 + 2 + 1)*(5 + 5 - 53). -129*s Expand f + 4*f - 3*f + (-f - 3 + 3)*(-3 + 1 + 5) - 5*f - 3 + 3. -6*f Expand -5*p**2 + 83 - 83 + (5*p**2 - 3*p**2 - 3*p**2)*(-4 + 2 + 5) - p**2 + 6*p**2 - 3*p**2. -6*p**2 Expand -i**4 - 4*i**4 + 3*i**4 + (3*i**2 - 5*i**2 + 3*i**2)*(28*i - 28*i + 8*i**2) + 11*i**4 - 16*i**3 + 16*i**3 + 0*i**4 - 5*i**4 + 3*i**4. 15*i**4 Expand -8*c**5 + 8*c**5 - 36*c**5 + (2*c**3 + 3*c**3 + 0*c**3)*(2 + 3*c**2 - 2) + (0*c**2 - 2*c**2 + c**2)*(-c**3 + 2 - 2). -20*c**5 Expand m**5 - 2*m**3 - 2*m**5 - m**5 + 2 + 4*m**4 - 2*m**5 - 4*m**4 + (18 - 8 - 8)*(2*m**5 - 2*m**5 - m**5). -6*m**5 - 2*m**3 + 2 Expand (3*w - 2*w + 0*w)*(5*w**2 + w**3 - 5*w**2) + 7*w**4 + 5*w**4 - 10*w**4. 3*w**4 Expand (-3*c**3 - 2*c + 2*c)*(2 + 3*c - 2)*(3 - 3 + 5*c)*(0 + 2 - 3). 45*c**5 Expand (3*t**2 + 85*t**2 + 99*t**2)*(4 + 2 - 7). -187*t**2 Expand 0*o**4 - 4*o**4 + 2*o**4 + (-o**4 + 0*o**2 + 0*o**2)*(4 + 2 - 2) + 0*o**3 - o**4 + 0*o**3 + 2*o**4 + 405*o**2 - 39*o - 405*o**2. -5*o**4 - 39*o Expand (3*b**2 - 5*b**2 + 3*b**2)*(35 - 2 + 7)*(b + 2 - 2). 40*b**3 Expand (5 + 4*n - 5)*(-2 - 2 + 5)*(4 + 1 - 6)*(-8 - 5*n + 8)*(-3 + 2 + 0). -20*n**2 Expand -y**5 - 3*y**5 + 3*y**5 + (2*y**3 - 3*y**2 + 3*y**2)*(0*y**2 - 2*y**2 + 4*y**2) + 19*y**5 - 31*y**5 - 17*y**5. -26*y**5 Expand (-2*t**4 - 16*t**4 - 13*t**4)*(-4 + 5 + 3). -124*t**4 Expand (1 + s - 1)*(62*s - 53*s + 7 + 1). 9*s**2 + 8*s Expand (0*n + 5*n - 7*n)*(-4 + 2 + 1) + 3*n + 3*n - 5*n + (-2 + 0 + 1)*(-1 + 1 - 2*n). 5*n Expand (-694 + 401 + 453)*(-2*j**4 - 2*j**4 + 3*j**4). -160*j**4 Expand -3*r**4 + 3*r**4 + r**5 + (-2*r**4 - 2*r**4 + r**4)*(r - r + r) + (1 + 6 + 0)*(-2*r**5 - 2*r**3 + 2*r**3). -16*r**5 Expand (3*x - 5*x - x)*(3*x**3 + 3*x**3 + x**3) + 7*x**4 + 0*x**4 - 19*x**4. -33*x**4 Expand (0*z**3 + 3*z**3 - 4*z**3)*(-7 + 10 + 7) + 0*z**2 + 0*z**2 - z**3 - 4*z**3 + 6*z**3 - z**3 + (1 - 1 - 1)*(-z + z - 2*z**3). -8*z**3 Expand 374 + x - 189 - 156 - 4*x + 6*x - x + 5*x + 0*x - 4*x + (-x - x - x)*(1 + 0 + 1). -3*x + 29 Expand (5 + 7 - 5)*(1 - 15 - 8)*(0 - 3*k + 0). 462*k Expand (2 - 4*f - 2)*(-24 + 7 - 2) + 6*f - 3 + 3. 82*f Expand 4*x**3 - 5*x**3 + 36*x - 12*x + (5*x - 3*x - 4*x)*(-1 - x**2 + 1). x**3 + 24*x Expand (-14*j**2 + 14*j**2 - 3*j**4)*(17 - 7 - 9)*(1 - 2 - 4). 15*j**4 Expand (8 + 4*p - 3*p + 0)*(26 + 11*p - 6 - 21). 11*p**2 + 87*p - 8 Expand ((-2*f - 4 + 4)*(0 - 3 + 2) + 6*f + 7*f + 0*f)*(0*f**2 - 2*f**2 + 3*f**2). 15*f**3 Expand (-106 + 106 + 12*s)*(s + s - 3*s)*(6*s - 3*s**3 - s**3 - 7*s). 48*s**5 + 12*s**3 Expand (6*b**2 - 2*b**2 + b**2)*(-50*b**2 - 51*b**2 + 100*b**2 + 9*b). -5*b**4 + 45*b**3 Expand (-w - 3*w + 7*w)*(-2*w**2 - 1 + 1) + (7*w**2 - 15*w**2 + 13*w**2)*(7 - 7 - 2*w). -16*w**3 Expand t + 3*t - 6*t + (-2 + 4 - 1)*(-5*t - t + 4*t) + 3*t + 0*t - 2*t - 58*t + 19*t - 32*t. -74*t Expand (-2 - 2 + 5)*(0*b - 3*b + b) - 2*b + 2*b - b + (0 - 1 + 0)*(-b - 3*b + 0*b) - 2*b + 0*b + b + (b + 0*b + b)*(3 - 3 - 2) - 4*b + 4*b - 2*b. -6*b Expand (36*w - 44*w**3 - 36*w)*(-3 - 1 + 6)*(4*w + 0*w - 2*w)*(-2 + 6 - 2). -352*w**4 Expand (0 + 0 + k**2)*(-144 + 119 + 195 + 336). 506*k**2 Expand (-3 - 2 + 3)*(-1 + 1 + 2*k) + 142*k - 38*k + 582*k. 682*k Expand ((3 + 1 - 3)*(d + 4*d - 3*d) + 0*d - 3*d - 3*d)*(-43*d + 12 - 6 - 9). 172*d**2 + 12*d Expand (-5 + 5 + 4*r**2)*(-6*r**2 + 2*r**2 + 3*r**2) + (r**3 + 4*r**3 - 2*r**3)*(1 + 2*r - 1). 2*r**4 Expand (-3*u + 3*u + u)*(-12*u + 6*u + 9*u)*(2 - 5 + 0). -9*u**2 Expand (-3 - 1 + 6)*(-28 - 144 - 85)*(4 - 26*s - s**2 + 26*s). 514*s**2 - 2056 Expand (-33*u + 33*u - 31*u + (0 + 5 - 6)*(0*u + 2*u - u))*(2*u - 2 + 2). -64*u**2 Expand 3*r**2 + r**2 + 4*r**2 + (-r + 0*r + 2*r)*(-4*r + 3*r - 3*r). 4*r**2 Expand 22*r + 59*r**2 - 32*r + 10*r + (0 - 2 + 4)*(-3*r**2 + 2*r**2 - r**2) + 4*r + r**2 - 4*r. 56*r**2 Expand (3*y - 4*y + 0*y)*(3*y**2 - 6*y**2 + y**2) + (-9*y + 3*y - 2*y)*(-2*y**2 - 5*y + 5*y). 18*y**3 Expand (2 - 4 + 1)*((2 - 1 + 0)*(-2*a - 2 + 2) - 35*a - 31*a + 71*a). -3*a Expand (7*c + c - 3*c)*((-3*c + 3*c - 2*c**3)*(-6 + 3*c + 6) - c**3 - c**4 + c**3) + c**5 + 2 - 2. -34*c**5 Expand 2*x**3 - 2*x**3 - x**3 + (-4*x + 4*x - x**2)*(1 - 25*x - 34*x + 212*x). -154*x**3 - x**2 Expand (-t - 4 + 4 - 2*t**2)*(-48*t**2 - 1499*t + 1499*t). 96*t**4 + 48*t**3 Expand (-p**2 + 0*p + 0*p)*(2175*p**2 - 6 + 6 - 2372*p**2 + 16*p). 197*p**4 - 16*p**3 Expand (-j + 0*j + 2*j)*((1 - 5 - 13)*(5*j + 11*j - 3*j) + 0*j - 4*j + 3*j). -222*j**2 Expand (0*c**2 - c**2 - 2*c**2)*(16*c + 70 + 9*c - 26*c). 3*c**3 - 210*c**2 Expand (-w**3 - 4*w**3 + 2*w**3)*(-7*w**2 + 24*w**2 - 8*w**2) + (1 - 3 + 1)*(2 - 6 + 5)*(w**5 - w**5 + w**5). -28*w**5 Expand (-3*t + 2*t**3 + 3*t)*(-5*t**2 + 2*t**2 + t**2) - 9*t**2 - 37*t**2 + 7*t**2 - t**5. -5*t**5 - 39*t**2 Expand (-1 + 0 + 4)*(2*a**2 - 2*a**2 - a**3)*(12*a - 89*a + 20*a - 88*a). 435*a**4 Expand 2*g - 1 + 1 + (g - 5*g + 3*g)*(171 - 101 - 127) - 2*g + 0*g + g. 58*g Expand (-p**2 - 2*p**2 + 2*p**2)*(16392 - 619*p - 16392). 619*p**3 Expand (0*l - 2*l - l)*(-5*l**2 + 5*l**2 - 7*l**4) + 4*l**2 + l**5 - 4*l**2 + (2*l - 2*l**4 - 2*l)*(l + 0 + 0). 20*l**5 Expand (-h + 0*h + 0*h)*(-2*h + 2*h + h**3) - h**4 - 3*h**4 - h**4 + (h**2 - 3 + 3)*(-h
{ "pile_set_name": "DM Mathematics" }
2*k + 238 = 0. Calculate the remainder when k is divided by 9. 7 Let c = -128 + 193. Let m(t) = t**2 + 14*t + 27. Let l be m(-13). Calculate the remainder when c is divided by l - 0 - (-4 + (-4 - -5)). 14 Let m(l) = -l**3 - 5*l**2 - 5*l + 3. Let w be m(-5). Calculate the remainder when 143 is divided by w/154 - 634/(-22). 27 Let n = 19 + -14. Suppose 0 = -n*z + 181 - 26. What is the remainder when z is divided by 16? 15 Let o be (-22 - 3)*((-54)/(-10) + 1). Let h = -104 - o. Calculate the remainder when h is divided by 15. 11 Suppose 0 = -12*t + 217 - 133. Calculate the remainder when 95 is divided by t. 4 Let f be 0*(20/6 - 3). Let u be 1*f*(-2)/(-4). Suppose 4*j - 12 + 0 = u. Calculate the remainder when 5 is divided by j. 2 Suppose 0 = s + j - 7, 2*s = -5*j + 24 - 7. What is the remainder when 23 is divided by s? 5 Let b(k) = k**2 + 4*k. Suppose -5*r - 3*c - 48 = -7*c, -5*r - 5*c - 30 = 0. Let l = 31 - 14. Calculate the remainder when b(r) is divided by l. 15 Let o(x) = -2*x**2 + 37*x - 122. Calculate the remainder when 557 is divided by o(11). 41 Let i = -9 + 12. Let q(g) = 3 - 4*g**2 + 8*g**3 + 6*g**i + 3*g - 13*g**3. What is the remainder when 10 is divided by q(3)? 1 Suppose 84 = 2*n - 8*n. Suppose -4*k - 5 = -13. What is the remainder when (-60)/n - (-12)/(-42) is divided by k? 0 Let y = -87 + 81. Let x(w) = -w**2 - 14*w - 13. What is the remainder when x(y) is divided by 20? 15 Calculate the remainder when 69 is divided by ((-15)/(-4))/((-15)/(-40)). 9 Suppose 0 = -5*r + z + 40, 0 = -0*r - 5*r - 4*z + 40. Let b(n) = r*n + 11*n + 5*n. What is the remainder when b(3) is divided by 25? 22 Let g = 2587 - 2585. Calculate the remainder when 162 is divided by g. 0 Suppose 51 = -4*f - 133. What is the remainder when (f/10)/(-1 + 12/15) is divided by 14? 9 Let b be (-13 - -10)*4/(-6). Suppose -5*z + m - 5*m = -303, b*m + 114 = 2*z. What is the remainder when z is divided by 31? 28 Let t(n) = -n**2 + 7*n + 17. Let s be t(8). Let q(k) = 2*k**2 - 4*k - 5. Calculate the remainder when q(-4) is divided by (69/s)/((-3)/(-9)). 20 Let k be 1/2 + -1 + 6/12. Suppose -19 + k = -t. Calculate the remainder when t is divided by 10. 9 Let d(u) = 4*u**2 - 3*u - 6. Let o be d(-4). Suppose 4*w = q + 1 + 4, 2*w = -4*q + o. Calculate the remainder when 55 is divided by q. 10 Let r = 38 - 29. Suppose j = 2*v - 63, v + 2*j = 7*j + r. Calculate the remainder when v is divided by 12. 10 Suppose -3*p + 50 = 4*f, -7*p + f + 54 = -3*p. Let d = p - 6. Suppose d = 3*t - 34. What is the remainder when t is divided by 5? 4 Suppose 4*m = -m - b + 290, 2*m - 2*b = 104. What is the remainder when m is divided by (-60)/(-2)*40/50 - 4? 17 Let x(l) = 59*l - 187. What is the remainder when 292 is divided by x(4)? 47 Let n = -73 + 95. Suppose 7 = -t - 3*u + n, -3*u = -t + 15. Let j(o) = -10*o + 2. What is the remainder when j(-4) is divided by t? 12 Let b = -53 + 55. Suppose l + b*l = 3*d + 180, -5*l + 292 = -d. Calculate the remainder when l is divided by (2 - 44/7)*-7. 28 Suppose 3*l + 0*l - 117 = 0. Suppose v - 7 = 8. Calculate the remainder when l is divided by v. 9 Let w(c) = -c**3 + 18*c**2 + 4*c + 17. Let d be w(18). Let a = -43 + d. What is the remainder when 182 is divided by a? 44 Let o(l) = -4*l - 26. Let f be o(-18). Suppose -32*a - f = -34*a. What is the remainder when 89 is divided by a? 20 Let p(v) = -v**3 - 21*v**2 - 23*v - 16. Calculate the remainder when p(-20) is divided by ((-8)/(-12))/((-4)/(-72)). 8 Suppose 16*f = 11*f - 10. Let o = f - -32. What is the remainder when 59 is divided by o? 29 Suppose 2*t - 222 = 2*b, -3*t - b + 34 = -299. What is the remainder when t is divided by 16? 15 Let y(u) = -43*u**3 + 5*u**2 - 1. Let w(c) = -87*c**3 + 9*c**2 - 2. Let n(z) = 3*w(z) - 5*y(z). Calculate the remainder when n(-1) is divided by 12. 11 Let a(o) = 5*o**2 + 20*o - 70. Calculate the remainder when 68 is divided by a(3). 33 Let t(b) = b**2 - 8*b - 11. Suppose 147 + 244 = 3*h - 2*k, -5*h - 4*k + 637 = 0. Calculate the remainder when h is divided by t(11). 19 Let a(w) = -w**2 - 5*w - 1. Let x be a(-5). Let l = -1 + 16. What is the remainder when (-29 + (2 - 0))*x is divided by l? 12 Let a = -19 + -7. Let f be 87/(-9) - (-3)/(-9). Let q = f - a. What is the remainder when 62 is divided by q? 14 Let h(j) = 28*j**3 + 5*j**2 - 5*j - 1. What is the remainder when h(1) is divided by 12/2*12/6? 3 Let m be (-2 + (-21)/(-6))*4. Suppose m = -3*a + 2*a. What is the remainder when 104/(-6)*9/a is divided by 14? 12 Suppose 11*h - 316 = 91. What is the remainder when 71 is divided by h? 34 Let h = -43 + 46. Suppose -5*l - h = -83. What is the remainder when 62 is divided by l? 14 Let r(d) = -d**2 + 6*d + 1. Let s = 18 + 11. Calculate the remainder when s is divided by r(5). 5 Suppose -2*j + j = -3. Suppose 7 = -j*d + 142. What is the remainder when (-40)/d*6*-6 is divided by 17? 15 Let j = -37 - -42. Let o = 19 - j. Calculate the remainder when 53 is divided by o. 11 Let r(i) = i**3 + 2*i**2 - i - 10. Let p be r(-3). What is the remainder when 71 + -8*4/p is divided by (2/2)/1 + 14? 13 Let k(v) = 206*v - 182. Let f(x) = x + 0*x + 1 - 3*x. Calculate the remainder when k(1) is divided by f(-4). 6 Suppose -4*m + 0*g + 22 = 2*g, -2*m - 4 = -4*g. Suppose 0 = m*c, 3*c = -0*a + a + 28. What is the remainder when 78 is divided by -3*1 - (a + 5)? 18 Let d(x) = -11*x**3 - x**2 + 1. Let g(y) = -11*y - 111. Calculate the remainder when g(-17) is divided by d(-1). 10 Let m = -1 + -4. Let v(w) = 2 + 0*w - 7 + w**3 + 4*w**2 - 7*w. What is the remainder when 18 is divided by v(m)? 3 Let a(b) = 6*b**2 - 7*b + 10. Let g be a(7). Suppose 2*s = -0*v + 5*v + 267, -g = -2*s + v. Suppose 19 + s = 5*k. What is the remainder when 86 is divided by k? 28 Suppose 13*b - 5*b - 160 = 0. Suppose 0 = -3*k - k - b, 3*k - 57 = -4*n. What is the remainder when n is divided by 8? 2 Let l be (-4)/12 + 40/12. Suppose -2*v + l*h = -0*v - 16, 24 = 2*v - 5*h. What is the remainder when 6 is divided by v? 0 Suppose 2*d = v - 3 + 2, 0 = -2*v + 10. Suppose 54 + 26 = d*j. Let t = 38 + -24. Calculate the remainder when j is divided by t. 12 Calculate the remainder when 539 is divided by (20/4 - (-56)/(-12))*36. 11 Suppose -10*y + 4*k = -12*y + 54, -y - 4*k + 27 = 0. What is the remainder when 92 is divided by y? 11 Let j(h) = 33*h - 284. Calculate the remainder when j(11) is divided by 5. 4 Let k(o) = o**3 + 26*o**2 - 9*o + 100. Calculate the remainder when k(-26) is divided by 28. 26 Let u = -810 + 828. Calculate the remainder when u is divided by 11. 7 Let g = -388 + 399. What is the remainder when 3*7*1 + -2 is divided by g? 8 Let b(s) = -7*s - 39. Let u be b(-6). Calculate the remainder when 95 - (u + 1/(-1) - -1) is divided by 32. 28 What is the remainder when 56 is divided by -36*((-20)/12 + 1)? 8 Suppose 2*u + 21 - 91 = 0. Calculate the remainder when 243 is divided by u. 33 Suppose 32*h - 8*h = 288. What is the remainder when h is divided by 2? 0 Suppose 4*z - 134 = -3*s, 5*s + z - 237 = 9. Calculate the remainder when 99 is divided by s. 49 Let p(k) = -k**2 - 22*k - 23. Let z(d) = -21*d**2 + 1. Let s be z(-1). Let o = 49 - 17. What is the remainder when o is divided by p(s)? 15 Let v be (-2)/(-4 - 21/(-6)). Suppose 54 = 2*l - 0*b - b, 34 = 2*l + v*b. What is the remainder when 49 is divided by l? 24 Let j be (-16)/(-24) - 14/3. Let s(b) = -4*b + 2. Let x(l) = 5*l - 3. Let w(k) = j*s(k) - 3*x(k). Calculate the remainder when 27 is divided by w(14). 12 Suppose 0*t - 3*t + 27 = 0. What is the remainder when t is divided by 2/(-3) + 40/6 + -3? 0 Suppose 106*z - 2980 = -43*z. What is the remainder when -4*(1 - 51/2) is divided by z? 18 Let o be 21/(-9) + (-14)/21. Let v be (9/o - -2) + 24. Let k = v - 12. Calculate the remainder when 19 is divided by k. 8 Let r(y) = y - 17. Let d be r(0). Let q = d + 32. What is the remainder when 870/5*(3 + 1)/12 is divided by q? 13 Suppose 4*l + 11 = 55. Let h(f) = -f**2 + 12*f - 5. Suppose -23 = 4*s - 5*s. Calculate the remainder when s is divided by h(l). 5 What is the remainder when (-6)/(-1)*3*(-253)/(-46) is divided by 78? 21 Let y(f) = f + 8. Let s be y(-4). Suppose s*d - 96 + 28 = 0. Calculate the remainder when d is divided by (-1 - (-15)/9)*15. 7 Let u = 300 - 209. Calcula
{ "pile_set_name": "DM Mathematics" }
be p(-8). Let w = 12 + -10. Let o be w/8 - (-6)/d. Solve o*z = z for z. 0 Suppose 8*y = 6*y + 8. Let c(j) = 2*j + 18. Let v be c(-9). Solve 2*m - y*m = v for m. 0 Let y = 38 - 22. Solve -4*l + y = 12 for l. 1 Let z(o) be the third derivative of -o**5/30 - 5*o**4/6 + o**3/3 - 5*o**2. Let c be z(-10). Solve 0*b = -c*b - 2 for b. -1 Suppose 5*k = -3*g + 11, 5*g + 2*k - 8 = 4*k. Let r be (-28)/(-2) - 4 - 4. Suppose r*h + 7 = 7. Solve h = p + g*p - 12 for p. 4 Suppose 0 - 15 = -3*x. Suppose -4*n - 3*s = -39, -x*n - 2*s + 17 = -37. Suppose o + n = 4*o. Solve -o*i - 8 = -0*i for i. -2 Let r(l) = 2*l**3 + l**2 - 3*l - 4. Let g be r(-2). Let p be ((-148)/10)/(4/g). Let i = p - 22. Solve -i = -d - 2*d for d. 5 Let g(w) = -w**3 + 2*w**2 + 3*w - 3. Let o be 18/(-4) + (-4)/8. Let p be 1/3 + o/(-3). Let y be g(p). Solve x - y = 2 for x. 5 Suppose 6*i + 8 = 4*c + i, -4 = -2*c + i. Let z = 1 + 3. Solve 2*v + z = -c for v. -3 Let u(o) = -o**2 + 9*o - 8. Let r be u(2). Solve -r = -3*i - 9 for i. -1 Let l be (6/(-15))/(11/(-110)). Solve -6*g + l*g = -5*g for g. 0 Suppose -2*p - 2*n - 87 + 221 = 0, n = -4*p + 256. Let j = p + -62. Solve -2*x = j + 9 for x. -5 Suppose -11*n + 96 = -7*n. Suppose -2*m + 7*m + 3*y = n, -5*m = 2*y - 21. Solve 0 = -5*b - m - 2 for b. -1 Suppose -4*z = 2*u - 1 - 27, -25 = -5*z - 5*u. Suppose -z = -2*s + 5. Suppose -2*p = -s*p + 50. Solve -y - p = -3*y for y. 5 Let v = -166 - -166. Solve -3*l + v*l = 12 for l. -4 Suppose 0*l = -3*c - 3*l + 33, 3*l + 9 = 0. Solve u = 8*u - c for u. 2 Let g be ((-45)/(-24)*4)/((-21)/(-42)). Solve 0 = 32*m - 29*m + g for m. -5 Let s = -34 + 40. Let c be 3*5/(s + -1). Solve -c*f + 16 = f for f. 4 Let n be -1 + 336/33 - 18/99. Solve -n = -c + 4*c for c. -3 Let x = 230 + -226. Solve 10 = x*a - 9*a for a. -2 Let o(v) = -8*v - 112. Let t be o(-14). Solve -12*i + 7*i + 6*i = t for i. 0 Suppose 0 = 5*u + 40 + 220. Let s = -47 - u. Solve -s*h + 24 = 4 for h. 4 Suppose 0 = 4*a + 6*p - 7*p - 39, 0 = 3*a + 2*p - 32. Solve -20 + 30 = a*y for y. 1 Suppose 2*h + 6 = 0, -5*t + 6 = -3*h - 23. Solve 0 = -14*r - 4 + t for r. 0 Suppose -3*h = -9*h. Let s be ((-18)/21 + h)/((-12)/42). Solve s*b + 5 = 2*b for b. -5 Let t be 4*-1*(-2 - -1). Let d be 4/t + 0/(-2). Solve -d = -2*b + 7 for b. 4 Suppose 26 = 8*z + 5*z. Solve m = -z*m for m. 0 Let c(i) = i**3 - 3*i**2 - 5*i - 3. Let q be c(3). Let a = 18 + q. Solve 0*k + 5*k + 20 = a for k. -4 Let s(v) be the second derivative of -v**5/120 + v**4/3 + 5*v**3/6 + v. Let u(i) be the second derivative of s(i). Let p be u(-12). Solve 0*z + p = -5*z for z. -4 Let i be (-145)/(-35) + 1/(-7). Let x(j) = j**3 + 10*j**2 - j - 6. Let r be x(-10). Suppose r*d + 4*s = 12, -i*d + 8 = s - 1. Solve -d*c = -3*c for c. 0 Let f(s) = -s**2 - 12*s + 16. Let k be f(-13). Let a be k - 4/((-8)/4). Suppose 0*i = -3*z + 3*i + 45, -a*i = 5*z - 125. Solve 5*r = -0 - z for r. -4 Let l = -26 + 29. Suppose l*p = 11 - 2. Solve -z - p = -2 for z. -1 Suppose f + 2*f - 9 = 0. Suppose -4 = -f*w + 5. Solve 2*o - o + w = 0 for o. -3 Let y(s) = s**3 - 8*s**2 + 18*s - 15. Let g be y(5). Suppose 0 = -4*f - o + 5*o, -4*f = -3*o - 3. Solve -q - f*q - 12 = g for q. -3 Let n be ((-4)/5)/(12/(-150)). Let c be n*(-4)/(-8)*5. Let o = c + -19. Solve -2*k = o - 2 for k. -2 Let r = -9 - -44. Let l be 5*2/r + 26/7. Solve 2*i = l*i - 10 for i. 5 Suppose 3*r + 87 = 4*k, -3*k - k = -5*r - 89. Let y = k + -21. Solve -2*u + 5*u - 3 = y for u. 1 Let c be -3 + 120/(-9 + 13). Solve -c + 28 = -j for j. -1 Suppose -1 = -x + 3. Let i be (-3)/(-4)*112/21. Solve 0*q - i = x*q for q. -1 Let m be (-428)/24 + 3 + (-57)/18. Let f = m + 21. Solve -1 - 14 = f*v for v. -5 Let r = 63 + -42. Let h = r + -19. Suppose -6 = -b - h*b. Solve 6 = -w + b for w. -4 Let c(o) = -o + 9. Let z be c(-4). Suppose -r = -a + z, 0 = 3*a - 2*r - 1 - 39. Solve -1 = 5*y + a for y. -3 Suppose -2*y + 5*y + 3*n = -120, 5*y + 4*n = -205. Let l = 45 + y. Solve c - 3 = -l for c. 3 Let u be 0/((-4)/(-16)*4). Suppose u = -2*b + b + 1. Suppose -3*s + 4*n - 5 = -b, -2*s - 2*n = -16. Solve -s*m = -2*m - 2 for m. 1 Let n(p) = p**3 + 2*p + 1. Let w(j) = j + 1. Let r(f) = n(f) - 3*w(f). Let g be r(2). Solve 2*u + g = u for u. -4 Let w = -1 + 13. Let s = -165 - -153. Let j = s + w. Solve m - 5 = -j for m. 5 Let b be (-8)/(-24) + (-542)/6. Let j = 57 + b. Let m = 35 + j. Solve m*g = -g + 3 for g. 1 Let c(a) be the second derivative of 0 - 1/3*a**3 - 3*a - 4*a**2. Let w be c(-5). Solve -7 = -n - w for n. 5 Let c(q) = 12*q - 18. Let i be c(2). Let t be 10/i + (-3)/(-9 + 0). Solve 3*w = -t*w for w. 0 Let b(y) = 3*y - 1. Let s be b(3). Suppose -8*r = -6*r - s. Let z(n) = n**2 - n - 1. Let g be z(3). Solve 0 = r*v + g + 11 for v. -4 Suppose 0 = 4*s - 12, 2*p + 2*s = s - 23. Let h = p + 18. Solve h*t - 4*t + 3 = 0 for t. -3 Suppose -3*l + 2*u - 12 = -4, -20 = -4*l - 5*u. Let n be 3 + -6 + 2 - -3. Suppose 4*x - d = 15, -n*d + 24 = 5*x - 5*d. Solve l = 3*s - 3 - x for s. 2 Let r be 28/(-1)*84/(-98). Solve r*x = 19*x for x. 0 Suppose 398 - 21 = 29*c. Solve -40 = -23*g + c*g for g. 4 Let t be 2 - 0*1/2. Let q = -140 - -144. Suppose -p = q*b + 1, -5*p - t*b = 13 - 44. Solve 3*w + p = -8 for w. -5 Let b(h) = h**2 - 3*h - 13. Let q(t) = 2*t**2 - 7*t - 27. Let x(m) = 13*b(m) - 6*q(m). Let n be x(-5). Solve n*a - 3 = 6*a for a. -1 Suppose -b - 35 = 5*y, 0 = 4*b - 4*y + 11 + 105. Let w be (-36)/b*(-10)/(-3). Solve 8*h - w*h + 4 = 0 for h. -1 Let r(l) = 5*l**2 - 58*l - 20. Let w be r(12). Solve -21*s - 25 = w*s for s. -1 Let h be -1*0/2 + 2. Let y(l) = -71*l**2 - 6*l - 5*l**3 - 5 + 4*l**3 + 66*l**h. Let g be y(-4). Solve 3*p + 3 + g = 0 for p. -2 Suppose -283*f - 48 = -287*f. Solve 11*o = 8*o - f for o. -4 Suppose 0*s + 9 = -3*s. Let m be -4 - (8 - 3)*-1. Let c be (-1 + 1)/(s + m). Solve 5*k + c*k - 10 = 0 for k. 2 Let w be 3066/803 + 2/11. Solve -w*p - p = 15 for p. -3 Let o = 1022 - 666. Solve -o*y - 12 = -362*y for y. 2 Suppose -2*j = 4*u + j - 14, 3*u + 3*j - 12 = 0. Suppose -2*l + 2*p = 2*l - 26, -u*l + 3*p = -19. Solve 0 = -l*g + 5 - 0 for g. 1 Let y = 252 + -238. Solve y*r = 16*r + 8 for r. -4 Let t be (-1 + -63)/(-16 + 15). Solve 4*y + 72 = t for y. -2 Suppose a + 2*n + 0 = 13, -7 = a - 2*n. Let z be a/(-9)*3*-4. Solve 2*f - 4 = z*f for f. -2 Let n(u) = u**2 + u - 21. Let v be n(-9). Solve -v*m + 50*m = 3 for m. -3 Let x(a) = -11*a - 16. Let v be x(-4). Solve v - 8 = 4*y for y. 5 Suppose -j - 2*j - 31 = -n, 104 = 4*n - 2*j. Let o = n + -13. Suppose o*y - 14*y = -40. Solve -5*c + y = -0 for c. 4 Suppose 5*v + 4*t + 10 + 1 = 0, -v + 3*t - 6 = 0. Let j be 1/(-2)*(-3 - v). Let c = 1114 + -1113. Solve j = g - 0 - c for g. 1 Suppose -5*z + 3*d + 11 + 6 = 0, 2 = 2*d. Suppose -z*b = -b. Let k be 2/(-2)*b/(-8). Solve -2*j - 2 - 8 = k for j. -5 Let q = 1 + 0. Let c = 69 + -64. Suppose 0 = -5*h + o + 2, -3*h - 10 = -c*h + 5*o. Solve h*y - q = -y for y. 1 Let m be 170/(-8) - (-30)/120. Let u be (-28)/(-8)*(-12)/m. Solve -u*l = -4*l - 4 for l. -2 Suppose -2*x + 2 = k, 2*x + 1 - 7 = k. Let t be (-1 - -7)*-1*(-2)/3. Let o be t - (-2 - 2/k). Solve -o = -i + 2*i for i. -5 Let h = -17 + 20. Suppose 5*y = -5*r, 4*y + 6 = 2*r + h*y. Solve -3 = -5*v + r for v. 1 Let a be -1 - -6*1*1. Let z(y) be the first derivative of 3*y**2/2 - y - 17. Let v be z(2). Solve -2*g = v + a for g. -5 Suppose -2*y + 5*o = -2 - 36, -4*y - 3*o = -50. Solve 0 = 8*t - t + y for t. -2 Let u(k) = 86*k - 772. Let d be u(9). Suppose 5*f = h - 10 - 0, -4*h - 2*f = -18. Suppose -5*q - 4*a = -20, h*q + a - 20 = -4*a. Solve 0 = q*r - d - 6 for r. 2 Suppose 9*n + 0 = -9. Let z be ((-690)/9)/(-5) - n/(-3). Solve -5*g + z = -2*g for g. 5 Let q be (4 + (-39)/9)*-3. Suppose 0 = -t + 2 - q. Suppose 3*d = -5*l + t, 3*l + 0 + 9 = 3*d. Solve d*m - 1 - 5 = 0 for m. 3 Suppose 118*f - 152 = 116*f. Solve f - 16 = 12*l for l. 5 Suppose 0 = 9*o - 4 - 32. Solve -12*d = -10*d - o for d. 2 Let t be ((-28)/(-20) - -1)*5. Suppose 4*v - 20 = t. Solve 0 = -5*c - 7 - v for c. -3 Let t be (30 + -30)/(1 - 5). Suppose -5*r + 5*u + 120 = t, -u - 32 = -2*r - 3*u. Solve -4*a = a + r for a. -4 Let p = -2028 - -2032. Let k be 2 + -1 - (-12)/(-2). Let m be (k + 1/(-1))*-1. Solve 0 = p*o - m*o - 8 for o. -4 Suppose -3*h = 5*v - 58, 4*v + 76 + 44 = 4*h. Let l = h + -25. Solve 11 =
{ "pile_set_name": "DM Mathematics" }
1 + (0 - 1)) - (-124 + 114)? -37 What is the value of -6 + (-235 - -221 - (3 + -36)) + 0 + -68? -55 What is the value of 0 + -48 + 84 - (33 - -7)? -4 Evaluate 22 - (34 + -56) - 1 - (7 + -6). 42 What is the value of -95 + 46 + (11 - 22)? -60 Evaluate -5 + (-64 + 85 + (2 - -119) - (-1 - 9)). 147 What is (-57 - (-17 - (-17 - -8))) + 3 + 4? -42 -21 + 81 + 6 + -4 - (-14 - (-2 + -1)) 73 What is the value of 1 + 7 + 3 + -2 - (2 + (-39 - 4))? 50 What is (-2 - -7) + (7 - (10 + (10 - 18))) + 45? 55 What is -122 - (-24 + -122) - 23? 1 Calculate -10 - ((-11 - 1) + -10) - (90 - -3). -81 Calculate -5 + (-6 - -16) - (-32 + 69). -32 What is the value of -122 + -35 + 49 + 57? -51 Evaluate -35 + (-32 - ((17 - 30) + -123)). 69 What is the value of 14 + 0 - 8 - -19 - -44? 69 Calculate 1 + 84 + (-13 + -5 - -1). 68 Evaluate 12 + 0 - (-49 + (-49 - -97)) - 79. -66 What is the value of -1 + (5 - -1) + 2154 + -2162? -3 47 + (32 - (49 - 12)) 42 Evaluate (3 - (7 + -160 + 1)) + (-14 - -1 - -1). 143 What is the value of 60 - (99 - 15 - 21)? -3 What is 197 + (-87 - 50) - (-6 + 0 - (-5 + 3))? 64 -78 + -20 + -49 + 122 -25 Evaluate 53 - ((-19 - -5) + 34 - 14 - 0). 47 65 + (28 + -73 - 36) -16 Calculate 106 + -98 - (-14 + 0 + 8 + 116) - -3. -99 Evaluate -3 - (49 + 33 + -77). -8 Evaluate ((12 - 23) + 7 - -5) + -24 + 119. 96 What is -28 + -13 - ((78 - 80) + 0 + 20)? -59 What is (139 - (-3 + 6)) + (-97 - (4 + -92))? 127 What is (-12 - 6) + (-13 - (-5 + 1 + 1))? -28 (16 + -48 - 16) + 86 38 Calculate 12 - (-68 + 48 - -20) - (66 - 1). -53 What is the value of (9 + -31 - (0 + (5 - -80))) + 21? -86 Calculate -3 - (17 - 73) - (5 + -21). 69 What is -75 - ((-8 + 55 - 50) + (-1 - (-3 - -2)))? -72 Calculate (-51 - -117 - 64) + -2 + -42 + 3. -39 What is the value of 6 + 22 + -17 + 18 - (7 + 9 - 5)? 18 What is the value of (-126 - (24 + -35)) + 14 + -21 + 18? -104 What is 83 + -19 + 298 + -372? -10 Calculate -28 - 18 - -6 - (-1 + -5). -34 What is the value of (33 - 42) + -58 + 1 + 1 + (-211 - -206)? -70 What is the value of 13 - (-2 - (28 + 0) - (-35 - -7 - -32))? 47 What is -33 - (62 - (6 - -164))? 75 6 + -3 - 6 - -3 - (-34 + 71 + 0) -37 Calculate (12 - 25) + (-2 - -8) - 2 - (-55 + -11). 57 -16 + (23 - ((-1 - 6) + (175 - 170))) 9 What is the value of (-16 - (-94 + 89)) + 109? 98 Evaluate 18 + (94 - 171) - (-1 - 0). -58 20 + (19 - -4 - (-165 - -160)) 48 Evaluate 3 - (-30 + 15) - (182 - 112). -52 20 - 2 - ((-60 - -59) + 10) 9 Evaluate (-61 - (19 + -99)) + (-25 - -12). 6 What is the value of -10 - -64 - (14 - 6) - (-9 + 9 - 2)? 48 What is -10 - (128 - 170 - -62 - (22 + 1))? -7 What is (-17 - 0) + 8 + -6 + (-10 - 18 - -25)? -18 Evaluate 2 + -42 + -13 + (8 - -1). -44 What is -32 + (0 - -7) + (-23 - -44)? -4 Evaluate 563 + -567 - (-45 - -1). 40 What is the value of -29 + (-94 + 68 - -86)? 31 What is 3 - (-28 + 32) - (3 + (2 + 3 - 1))? -8 Calculate -38 + 27 + (13 - (14 - -9)). -21 4 + -8 + 9 + 8 - (-7 + 0) 20 Calculate (88 - -2 - -3) + (-46 - -65) + -31. 81 What is 13 - (2 + -3) - (1 - (3 + -77))? -61 Evaluate -90 + 117 - -35 - -8. 70 What is -18 - (-93 - -35 - 2)? 42 -7 + 18 + -6 + 7 + -6 + 4 10 What is the value of 2 + (15 - (31 + -19)) + -5? 0 Evaluate 19 + -13 - (-53 + 92). -33 Evaluate -17 + 4 + -23 + 43 - -8. 15 Calculate -921 + 966 - (-41 + 0). 86 What is the value of (-29 - -86 - (1 + -12)) + -17? 51 Evaluate -2 + (12 - 3) + 2 + -11 + 12. 10 1 + -1 - (2 + -1) - ((-49 - -39) + 12) -3 Evaluate -88 + (-7 - (-14 - -12 - (0 - -6))) + 11. -76 What is the value of -70 + -4 - (7 + -1 - (2 - -14))? -64 Calculate (-12 - (36 - (37 + 1))) + -69. -79 What is 0 + (-23 - (-16 + (2 - 39)))? 30 What is (-20 + 1 - 1) + -78 + 76 + -5? -27 Calculate -285 - -197 - (-3 + 7). -92 What is 2 + -2 + 5 - (186 - 168)? -13 25 - -2 - (-44 - 1 - (-566 + 541)) 47 Calculate -12 + -22 + (85 + -26 - 20). 5 What is (54 - (23 + 8)) + (8 - 32)? -1 Evaluate 47 - (-15 + 1 - (-35 - -6)). 32 Evaluate -1 - 24 - (6 + -17 - -37). -51 (-4 - -2) + 151 - (30 + (85 - 41 - 60)) 135 What is -41 + -47 + 95 + (0 - 10)? -3 What is 1 + -6 + 1 + (41 + -74 + 40 - 18)? -15 15 + -7 + 15 + -37 - 60 -74 Calculate -141 + 73 + (0 - (8 + -3 + -2 + 0)). -71 25 + -4 + (-10 - -1) - -37 - 17 32 Evaluate -7 + (-11 + 14 + -9 - -2 - 17). -28 Evaluate 6 + (-50 - (17 - (1 + -4))). -64 Evaluate -21 - ((-6 - 110) + 52). 43 Calculate (63 - 54 - (-1 + -89)) + -29. 70 What is the value of 4 + -118 + 45 - (23 - 39)? -53 What is -10 - ((-4 - -2) + -1 + (11 - 56) + 26)? 12 (0 - 5 - -2) + 44 - (-67 - -59) 49 Calculate (5 - 46) + 8 + (-43 - -54). -22 38 - (-13 - (-53 + 9)) 7 What is the value of -26 - (24 - 48 - 5) - 60? -57 Evaluate 4 - 2 - -35 - (82 - 64 - 11). 30 Evaluate 19 + (-18 - (11 - -14)) - (1 - -5) - 0. -30 55 + 0 + (-32 - (-2 + -19)) + 2 46 What is 157 - 132 - (57 + -6)? -26 What is the value of -2 - (14 + (-7 - 3) + -28)? 22 -52 - (61 + -55 - ((-3 - -14) + -2)) - 3 -52 149 + -99 + -140 + 47 -43 What is (-11 - (1 - -6)) + -33 + 193 + 3? 145 Evaluate -4 - (-17 - -22 - 15 - 0) - (-2 - -40). -32 What is the value of 17 + 6 + -4 - (-1 + -6)? 26 What is 3 + -6 - ((-51 - -20) + -8)? 36 9 - -21 - (49 + 4) -23 45 + -18 + -134 + 79 -28 What is the value of 12 + 2 - (-53 + -6 + 61)? 12 -29 + 50 + (-12 + 8 - -8) 25 Evaluate -4 - -36 - (-80 - -107) - (2 + (-2 - -41)). -36 Evaluate -20 + 2 + (23 - -38). 43 What is 30 + -30 + -3 + 13 - (-9 + (-2 - -5))? 16 Calculate -3 + 10 - 56 - (20 - 31). -38 (-85 - (-35 - 48)) + -16 + 1 -17 What is (-849 - -847) + (-2 - -1) - (-49 - -1)? 45 What is the value of -23 + 42 + 76 + (15 - -24)? 134 What is (-273 - (147 + -433)) + -1 + (24 - 1)? 35 Calculate -64 - ((19 - 10) + (-15 - 6) + -2). -50 What is (-1 - 13) + 44 + (22 - 31)? 21 Evaluate -73 + 13 + (4 - 21). -77 Evaluate 6 - -1 - (-60 + 56) - (43 + 1). -33 What is (25 - -1) + 4 + -43 + (2 - (0 + -25))? 14 What is the value of 51 + -28 - 31 - -4? -4 What is the value of -4 + (0 - -2) - (-4 + (8 - 14)) - 25? -17 Evaluate (-21 - -4) + (-19 - (29 + -70)). 5 65 + -1 - (-7 + 27 + -12 + -16 - -7) 65 Evaluate -17 + -62 + (8 - -29). -42 Evaluate (-5 + 26 - (2 + (-1 - 8))) + 9. 37 What is 7 + -14 + (35 - 92) + 37? -27 What is 14 - (71 + -2 - (-13 + 4 + -10))? -74 Evaluate (-28 - (69 - 30 - 30)) + 101. 64 Evaluate (3 + -7 + (5 - -1) - (4 + -11)) + -18. -9 What is -1 + -23 + -1 + (-4 - -3) + -1? -27 Evaluate 115 + (-11 - (19 - -1)) + 19. 103 Calculate -79 + -65 + (18 - -175). 49 What is the value of 3 - (11 + -9 + 2 + 42)? -43 -60 + 128 + (-10 + -29 - -7) 36 Calculate -2 + (-58 - -1) + (10 - (1 + (-4 - -2))). -48 What is the value of (-33 - -14) + 7 + 19 - (17 + (2 - 3))? -9 What is -1 + 1 + (-7 - (-14 + (4 - -12))) - 85? -94 (2 - -6) + (-44 - -35 - 24) + -9 -34 What is 2 + 0 - 10 - ((-17 - -32) + -7 + 0)? -16 Evaluate -1 + (-3 - 2) + 12 + (-21 - (-14 - -11)). -12 131 + -7 + -212 + 154 66 Calculate -11694 - -11651 - (1 + -33). -11 Calculate 176 + -362 + 188 + (-24 - 1). -23 -104 + 163 + (16 - 67) - (2 + 151 + -1) -144 Evaluate -3 - (19 + 45 + 4 - -3). -74 What is -62 - (91 + -53) - (-14 - 1)? -85 What is the value of 0 + -39 + 499 + -483 - -44? 21 (-66 - -35 - (-8 - 13)) + (43 - 35) -2 (60 - (69 + -92)) + -16 67 What is the value of 3 - 8 - (690 + -617)? -78 -31 - (67 + -31 - 81) 14 Evaluate 62 + (6 + -10 - 16 - -8). 50 What is the value of (23 - 163) + (12 - 1 - (-34 + 3 + 26))? -124 (0 + 15 - (231 - 225)) + -26 + 48 31 What is -31 + (-6 - -7) + -8 + 28 + -46? -56 -16 + 6 + 6 + -11 + -65 -80 What is -8 - (83 + -114 + -23)? 46 What is the value of (0 - (-14 - 5)) + -14 + 1 + -35? -29 What is -12 - ((-27 - -54) + 33 + 11)? -83 Calculate (-109 - 27 - -61) + 41. -34 What is -5 + 0 + 2 + (233 - 237) - 42? -49 Evaluate -99 + 117 - (7 - (-6 - -9)). 14 What is 1 + 23 + -7 + (79 - 133)? -37 77 + -62 - -1 - 56 -40 -8 + 17 + -22 - 6 - (-16 - 1) -2 Evaluate -21 - -4 - -23 - -11. 17 Evaluate -34 - (-6 - (24 - 3 - 24)). -31 What is (-4 - -1 - ((67 - 5) + -2)) + -141 + 144? -60 What is (-7 - (21 + -3 - 32) - -4) + -43? -32 (64 - 80) + 32 - -10 26 Calculate (13 - 18) + -7 + -6 + 7. -11 What is (36 - 6) + -13 + 0 + -9 + 15? 23 -141 + 222 + -161 + -61 -141 Evaluate (-11 + -14 - -8) + 11 - (-78 + -12). 84 Calculate (-24 - (-10 - 1)) + -16 + 61. 32 What is the value of -10 - (-287 - -279 - (2 + -1 - 1 - 48))? -50
{ "pile_set_name": "DM Mathematics" }
71? -4*i**2 + 8744*i - 15941 What is the y'th term of 5047154, 10094246, 15141338, 20188430, 25235522, 30282614? 5047092*y + 62 What is the i'th term of -11035, 14199, 82691, 216071, 435969, 764015? 3605*i**3 - i**2 + 2*i - 14641 What is the t'th term of -7756, -8319, -8882, -9445, -10008? -563*t - 7193 What is the o'th term of 4241, 6974, 9707? 2733*o + 1508 What is the o'th term of -15383597, -30767249, -46150897, -61534541? 2*o**2 - 15383658*o + 59 What is the v'th term of 273135, 273200, 273309, 273462? 22*v**2 - v + 273114 What is the d'th term of 1341, -317, -3083, -6957? -554*d**2 + 4*d + 1891 What is the f'th term of -209305, -209284, -209219, -209086, -208861, -208520? 4*f**3 - 2*f**2 - f - 209306 What is the b'th term of -9199014, -9198971, -9198928, -9198885, -9198842, -9198799? 43*b - 9199057 What is the g'th term of 2441, 4957, 7473, 9989? 2516*g - 75 What is the h'th term of 2322, 7382, 15816, 27624, 42806? 1687*h**2 - h + 636 What is the l'th term of 44633, 44419, 44205, 43991? -214*l + 44847 What is the r'th term of 3641445, 3641437, 3641415, 3641373, 3641305, 3641205? -r**3 - r**2 + 2*r + 3641445 What is the r'th term of 6622, 13336, 20068, 26818, 33586? 9*r**2 + 6687*r - 74 What is the p'th term of -551718687, -551718685, -551718683? 2*p - 551718689 What is the v'th term of -688, -544, -328, -4, 464, 1112, 1976? 6*v**3 + 102*v - 796 What is the o'th term of 19734943, 19734946, 19734949? 3*o + 19734940 What is the q'th term of 15155, 16357, 17569, 18791, 20023, 21265, 22517? 5*q**2 + 1187*q + 13963 What is the k'th term of 13229, 26133, 38707, 50951? -165*k**2 + 13399*k - 5 What is the f'th term of -26690, -106705, -240058, -426749, -666778, -960145, -1306850? -26669*f**2 - 8*f - 13 What is the s'th term of 5569, 11138, 16745, 22384, 28049? -s**3 + 25*s**2 + 5501*s + 44 What is the r'th term of -2524, -5077, -7564, -9955, -12220, -14329, -16252, -17959? 5*r**3 + 3*r**2 - 2597*r + 65 What is the b'th term of 113114, 113249, 113382, 113513, 113642, 113769? -b**2 + 138*b + 112977 What is the x'th term of -250115, -247705, -245295, -242885? 2410*x - 252525 What is the i'th term of -29976, -239745, -809118, -1917897, -3745884? -29967*i**3 - 9 What is the a'th term of 230, 81, -154, -463, -834, -1255, -1714, -2199? 2*a**3 - 55*a**2 + 2*a + 281 What is the p'th term of 33450, 33454, 33458, 33462, 33466, 33470? 4*p + 33446 What is the w'th term of 137183, 136929, 136505, 135911, 135147, 134213, 133109? -85*w**2 + w + 137267 What is the v'th term of 143935, 287865, 431799, 575737, 719679, 863625, 1007575? 2*v**2 + 143924*v + 9 What is the a'th term of 2980537, 5961048, 8941559, 11922070, 14902581, 17883092? 2980511*a + 26 What is the o'th term of -3833201, -3833096, -3832991? 105*o - 3833306 What is the c'th term of -348364, -696736, -1045108, -1393480? -348372*c + 8 What is the h'th term of -1351, -3288, -5853, -9034, -12819? 2*h**3 - 326*h**2 - 973*h - 54 What is the t'th term of 441654, 883287, 1324920, 1766553, 2208186, 2649819? 441633*t + 21 What is the f'th term of 25640, 51294, 76998, 102776, 128652, 154650, 180794, 207108? 4*f**3 + f**2 + 25623*f + 12 What is the q'th term of 1676924, 1676928, 1676950, 1677002, 1677096, 1677244, 1677458? 2*q**3 - 3*q**2 - q + 1676926 What is the x'th term of -6610, -7819, -9028, -10237? -1209*x - 5401 What is the w'th term of -4008, -5883, -7734, -9555, -11340, -13083, -14778, -16419? w**3 + 6*w**2 - 1900*w - 2115 What is the s'th term of -153, -843, -2011, -3669, -5829? -2*s**3 - 227*s**2 + 5*s + 71 What is the l'th term of 157004, 627725, 1412268, 2510639, 3922844, 5648889, 7688780, 10042523? l**3 + 156905*l**2 - l + 99 What is the d'th term of -26889, -55773, -84641, -113487, -142305, -171089, -199833, -228531? d**3 + 2*d**2 - 28897*d + 2005 What is the t'th term of 7450, 4699, 1934, -851, -3662, -6505, -9386, -12311? -t**3 - t**2 - 2741*t + 10193 What is the w'th term of 3765761, 3765818, 3765875, 3765932? 57*w + 3765704 What is the a'th term of 3487080, 13948336, 31383770, 55793388, 87177196, 125535200, 170867406? a**3 + 3487083*a**2 - 4 What is the u'th term of -5917, -23654, -53127, -94336, -147281? -5868*u**2 - 133*u + 84 What is the h'th term of -1084, -1990, -2520, -2488, -1708, 6? 31*h**3 + 2*h**2 - 1129*h + 12 What is the d'th term of 2560, 2734, 2914, 3094, 3268, 3430, 3574, 3694? -d**3 + 9*d**2 + 154*d + 2398 What is the z'th term of -19906, -19991, -20062, -20113, -20138, -20131, -20086, -19997? z**3 + z**2 - 95*z - 19813 What is the p'th term of 2839694, 2839687, 2839680, 2839673, 2839666, 2839659? -7*p + 2839701 What is the z'th term of -194778, -195004, -195230? -226*z - 194552 What is the s'th term of 65068, 260338, 585816, 1041502, 1627396, 2343498, 3189808? 65104*s**2 - 42*s + 6 What is the m'th term of -30038, -29720, -29402, -29084, -28766, -28448? 318*m - 30356 What is the n'th term of 43764, 87709, 131656, 175605, 219556, 263509, 307464? n**2 + 43942*n - 179 What is the z'th term of 602382, 1205109, 1807836? 602727*z - 345 What is the i'th term of -173546, -694263, -1562164, -2777249? -173592*i**2 + 59*i - 13 What is the v'th term of 647, 1100, 2351, 4808, 8879, 14972, 23495? 68*v**3 - 9*v**2 + 4*v + 584 What is the f'th term of 48993, 49615, 50237, 50859, 51481? 622*f + 48371 What is the i'th term of -1862, -2367, -2878, -3395, -3918, -4447? -3*i**2 - 496*i - 1363 What is the w'th term of 970833, 1941731, 2912629, 3883527, 4854425? 970898*w - 65 What is the t'th term of 38784968, 77569948, 116354928, 155139908? 38784980*t - 12 What is the l'th term of -1671, -11989, -39633, -93267, -181555? -1444*l**3 + l**2 - 213*l - 15 What is the u'th term of -327669519, -327669523, -327669527, -327669531, -327669535, -327669539? -4*u - 327669515 What is the f'th term of 18455, 18439, 18419, 18395? -2*f**2 - 10*f + 18467 What is the s'th term of -6020435, -6020437, -6020439, -6020441? -2*s - 6020433 What is the q'th term of -13614, -14054, -14496, -14940, -15386, -15834? -q**2 - 437*q - 13176 What is the f'th term of -473602, -946602, -1419604, -1892608? -f**2 - 472997*f - 604 What is the i'th term of 24669, 23373, 21201, 18147, 14205, 9369? -i**3 - 432*i**2 + 7*i + 25095 What is the l'th term of 92539, 184947, 277355, 369763, 462171? 92408*l + 131 What is the b'th term of 25526065, 25526064, 25526063? -b + 25526066 What is the n'th term of 1847, 9607, 17367, 25127? 7760*n - 5913 What is the i'th term of 23984, 48388, 72754, 97064, 121300, 145444, 169478? -3*i**3 - i**2 + 24428*i - 440 What is the y'th term of 224214, 223626, 223040, 222456, 221874? y**2 - 591*y + 224804 What is the x'th term of -34255, -34978, -36935, -40744, -47023? -103*x**3 + x**2 - 5*x - 34148 What is the o'th term of -3194789, -3194799, -3194821, -3194855, -3194901? -6*o**2 + 8*o - 3194791 What is the h'th term of 35328, 79645, 123962, 168279, 212596, 256913? 44317*h - 8989 What is the x'th term of 469, 1801, 3883, 6595, 9817, 13429? -20*x**3 + 495*x**2 - 13*x + 7 What is the u'th term of 2753162, 2753183, 2753204, 2753225, 2753246, 2753267? 21*u + 2753141 What is the y'th term of 583, -858, -2349, -3890? -25*y**2 - 1366*y + 1974 What is the k'th term of -67136, -95626, -124114, -152600, -181084? k**2 - 28493*k - 38644 What is the v'th term of 23146, 44217, 65288, 86359, 107430? 21071*v + 2075 What is the a'th term of 6065, 7243, 9203, 11945, 15469? 391*a**2 + 5*a + 5669 What is the r'th term of 1037, 2369, 3679, 4961, 6209, 7417, 8579? -r**3 - 5*r**2 + 1354*r - 311 What is the u'th term of 180387, 180404, 180419, 180432, 180443, 180452, 180459? -u**2 + 20*u + 180368 What is the p'th term of -24678793, -49357582, -74036371, -98715160? -24678789*p - 4 What is the u'th term of -46615870, -93231738, -139847606, -186463474, -233079342, -279695210? -46615868*u - 2 What is the q'th term of 47147, 47489, 47831, 48173, 48515, 48857? 342*q + 46805 What is the q'th term of 9695938, 9695940, 9695942, 9695944, 9695946? 2*q + 9695936 What is the m'th term of -1920, -3141, -3756, -3765, -3168? 303*m**2 - 2130*m - 93 What is the i'th term of -778, 3051, 9436, 18377, 29874, 43927, 60536? 1278*i**2 - 5*i - 2051 What is the u'th term of 1301, 5240, 11821, 21044? 1321*u**2 - 24*u + 4 What is the t'th term of -235491911, -23
{ "pile_set_name": "DM Mathematics" }
ime factors of 27832? 2, 7, 71 What are the prime factors of 2858? 2, 1429 List the prime factors of 239. 239 What are the prime factors of 196581? 3, 7, 11, 23, 37 List the prime factors of 3684. 2, 3, 307 List the prime factors of 14201. 11, 1291 List the prime factors of 3078. 2, 3, 19 What are the prime factors of 2832? 2, 3, 59 What are the prime factors of 3388? 2, 7, 11 What are the prime factors of 7382? 2, 3691 What are the prime factors of 2581? 29, 89 List the prime factors of 911. 911 List the prime factors of 2457. 3, 7, 13 List the prime factors of 93270. 2, 3, 5, 3109 What are the prime factors of 2531? 2531 List the prime factors of 2948. 2, 11, 67 List the prime factors of 5234. 2, 2617 What are the prime factors of 2270? 2, 5, 227 What are the prime factors of 17213? 7, 2459 What are the prime factors of 314? 2, 157 What are the prime factors of 52863? 3, 67, 263 List the prime factors of 101091. 3, 31, 1087 What are the prime factors of 908? 2, 227 What are the prime factors of 58914? 2, 3, 1091 What are the prime factors of 26115? 3, 5, 1741 What are the prime factors of 911? 911 List the prime factors of 18649. 17, 1097 List the prime factors of 1288. 2, 7, 23 What are the prime factors of 8185? 5, 1637 What are the prime factors of 14206? 2, 7103 What are the prime factors of 135217? 23, 5879 List the prime factors of 4976. 2, 311 What are the prime factors of 42629? 47, 907 What are the prime factors of 1418? 2, 709 What are the prime factors of 40689? 3, 11, 137 List the prime factors of 49397. 47, 1051 List the prime factors of 2188. 2, 547 List the prime factors of 95832. 2, 3, 11 What are the prime factors of 1154? 2, 577 What are the prime factors of 1572? 2, 3, 131 List the prime factors of 11171. 11171 What are the prime factors of 7824? 2, 3, 163 List the prime factors of 148. 2, 37 What are the prime factors of 156695? 5, 7, 11, 37 List the prime factors of 1193. 1193 What are the prime factors of 52782? 2, 3, 19, 463 What are the prime factors of 1933? 1933 What are the prime factors of 2982? 2, 3, 7, 71 What are the prime factors of 22212? 2, 3, 617 What are the prime factors of 2809? 53 List the prime factors of 85531. 85531 What are the prime factors of 42880? 2, 5, 67 List the prime factors of 38384. 2, 2399 What are the prime factors of 9? 3 What are the prime factors of 5917? 61, 97 What are the prime factors of 8373? 3, 2791 What are the prime factors of 10940? 2, 5, 547 List the prime factors of 343. 7 List the prime factors of 552. 2, 3, 23 What are the prime factors of 1095? 3, 5, 73 What are the prime factors of 446? 2, 223 What are the prime factors of 34759? 34759 List the prime factors of 389. 389 List the prime factors of 51294. 2, 3, 83, 103 List the prime factors of 3383. 17, 199 List the prime factors of 128634. 2, 3, 11, 1949 List the prime factors of 223. 223 List the prime factors of 5011. 5011 List the prime factors of 10639. 10639 List the prime factors of 15903. 3, 19, 31 What are the prime factors of 13208? 2, 13, 127 List the prime factors of 8879. 13, 683 What are the prime factors of 1567? 1567 List the prime factors of 1164. 2, 3, 97 List the prime factors of 1018. 2, 509 List the prime factors of 1365. 3, 5, 7, 13 List the prime factors of 47607. 3, 7, 2267 What are the prime factors of 12209? 29, 421 List the prime factors of 73997. 7, 11, 31 What are the prime factors of 31575? 3, 5, 421 List the prime factors of 15950. 2, 5, 11, 29 List the prime factors of 49487. 17, 41, 71 List the prime factors of 129. 3, 43 What are the prime factors of 22154? 2, 11, 19, 53 List the prime factors of 1520. 2, 5, 19 What are the prime factors of 4792? 2, 599 What are the prime factors of 771? 3, 257 List the prime factors of 408. 2, 3, 17 What are the prime factors of 19334? 2, 7, 1381 What are the prime factors of 430? 2, 5, 43 List the prime factors of 27151. 19, 1429 What are the prime factors of 25394? 2, 12697 What are the prime factors of 1968? 2, 3, 41 What are the prime factors of 7496? 2, 937 List the prime factors of 683. 683 List the prime factors of 2561. 13, 197 List the prime factors of 1533. 3, 7, 73 What are the prime factors of 80313? 3, 19, 1409 What are the prime factors of 2374? 2, 1187 What are the prime factors of 2739? 3, 11, 83 What are the prime factors of 32924? 2, 8231 What are the prime factors of 9220? 2, 5, 461 List the prime factors of 54563. 54563 List the prime factors of 29099. 7, 4157 List the prime factors of 10331. 10331 What are the prime factors of 7788? 2, 3, 11, 59 List the prime factors of 1466. 2, 733 What are the prime factors of 2450? 2, 5, 7 What are the prime factors of 9632? 2, 7, 43 List the prime factors of 1961. 37, 53 What are the prime factors of 2653? 7, 379 What are the prime factors of 3990? 2, 3, 5, 7, 19 What are the prime factors of 716? 2, 179 What are the prime factors of 1032? 2, 3, 43 What are the prime factors of 3614? 2, 13, 139 List the prime factors of 914. 2, 457 What are the prime factors of 33452? 2, 8363 List the prime factors of 4401. 3, 163 List the prime factors of 78577. 78577 List the prime factors of 13814. 2, 6907 What are the prime factors of 112196? 2, 7, 4007 What are the prime factors of 10964? 2, 2741 What are the prime factors of 484? 2, 11 What are the prime factors of 8820? 2, 3, 5, 7 List the prime factors of 3870. 2, 3, 5, 43 List the prime factors of 59808. 2, 3, 7, 89 What are the prime factors of 89319? 3, 19, 1567 List the prime factors of 18779. 89, 211 List the prime factors of 11176. 2, 11, 127 What are the prime factors of 3000? 2, 3, 5 What are the prime factors of 135165? 3, 5, 9011 What are the prime factors of 620? 2, 5, 31 List the prime factors of 962. 2, 13, 37 List the prime factors of 73757. 73757 What are the prime factors of 12163? 12163 What are the prime factors of 61395? 3, 5, 4093 What are the prime factors of 3191? 3191 What are the prime factors of 263? 263 What are the prime factors of 5333? 5333 List the prime factors of 859. 859 What are the prime factors of 41778? 2, 3, 11, 211 List the prime factors of 2028. 2, 3, 13 List the prime factors of 6984. 2, 3, 97 What are the prime factors of 2030? 2, 5, 7, 29 List the prime factors of 5414. 2, 2707 List the prime factors of 40519. 40519 What are the prime factors of 588? 2, 3, 7 What are the prime factors of 128353? 37, 3469 List the prime factors of 837. 3, 31 List the prime factors of 2095. 5, 419 What are the prime factors of 15693? 3, 5231 List the prime factors of 4130. 2, 5, 7, 59 What are the prime factors of 1153? 1153 List the prime factors of 700. 2, 5, 7 What are the prime factors of 5109? 3, 13, 131 What are the prime factors of 2149? 7, 307 List the prime factors of 14150. 2, 5, 283 What are the prime factors of 4163? 23, 181 What are the prime factors of 8650? 2, 5, 173 List the prime factors of 42349. 42349 List the prime factors of 30312. 2, 3, 421 List the prime factors of 5881. 5881 What are the prime factors of 10305? 3, 5, 229 List the prime factors of 69268. 2, 17317 What are the prime factors of 452? 2, 113 List the prime factors of 4770. 2, 3, 5, 53 List the prime factors of 3681. 3, 409 List the prime factors of 598. 2, 13, 23 List the prime factors of 12616. 2, 19, 83 List the prime factors of 10173. 3, 3391 List the prime factors of 16519. 16519 List the prime factors of 14161. 7, 17 List the prime factors of 82623. 3, 27541 List the prime factors of 12349. 53, 233 What are the prime factors of 10421? 17, 613 What are the prime factors of 8637? 3, 2879 List the prime factors of 8922. 2, 3, 1487 List the prime factors of 7007. 7, 11, 13 What are the prime factors of 27092? 2, 13, 521 What are the prime factors of 804? 2, 3, 67 What are the prime factors of 3204? 2, 3, 89 What are the prime factors of 91923? 3, 13, 2357 List the prime factors of 67250. 2, 5, 269 List the prime factors of 604. 2, 151 What are the prime factors of 469? 7, 67 What are the prime factors of 4444? 2, 11, 101 What are the prime factors of 353? 353 List the prime factors of 545. 5, 109 List the prime factors of 74000. 2, 5, 37 What are the prime factors of 926? 2, 463 List the prime factors of 36680. 2, 5, 7, 131 What are the pr
{ "pile_set_name": "DM Mathematics" }
z(n) = -7*n**2 + 40*n - 10. Let y(g) = -5*x(g) + 2*z(g). Determine y(k(m)). 73984*m**2 - 2720*m + 25 Let y(w) = 8*w**2. Let p(c) be the first derivative of 5*c**2 - 388. What is p(y(r))? 80*r**2 Let b(p) = 3*p**2. Let f = 865/3 - 287. Let o(q) be the first derivative of 0*q + 4 + f*q**3 + 0*q**2. Give o(b(j)). 36*j**4 Let x(o) = 104*o. Let m(z) = -8*z + 44. Give x(m(r)). -832*r + 4576 Let c(d) = -17*d**2. Let q(p) = p**3 - p**2 - 3*p + 4. Let b be q(2). Let t be (4 - -1)/(b/6). Let f(k) = -t*k - 7*k + 23*k. Calculate f(c(r)). -17*r**2 Let l(y) = 18592*y**2. Let u(s) = -s. Calculate u(l(h)). -18592*h**2 Let k(s) = -3*s**2. Let f(x) = 6211*x. Determine k(f(g)). -115729563*g**2 Let h(x) be the second derivative of 5/2*x**2 + 5/2*x**3 - 47*x + 0. Let p(q) = -q**2. Determine p(h(t)). -225*t**2 - 150*t - 25 Let k(m) = 3*m - 2*m - 42 + 42. Let a(d) = -4*d**2 + 2. Let z(y) = y**2 - 1. Let s(t) = -a(t) - 2*z(t). Give s(k(n)). 2*n**2 Let v(p) = 244*p. Let q(j) = 150*j - 9. Calculate v(q(l)). 36600*l - 2196 Let y(l) = -17*l - 20*l + 260*l + 110*l + 62*l. Let r(q) = -2*q. Determine r(y(x)). -790*x Let q(z) = -z. Let g(c) be the third derivative of c**4/24 - 19*c**3/6 + 136*c**2. What is q(g(n))? -n + 19 Suppose -58 = 3*k + 4*d - 50, -5*k - d - 2 = 0. Let m(y) be the third derivative of k*y**3 + y**2 + 0*y + 1/24*y**4 + 0. Let t(o) = 19*o**2. Calculate m(t(s)). 19*s**2 Let a(t) = 37*t - 19. Let z(o) = 27*o - 1. Give a(z(c)). 999*c - 56 Let m(q) = 27 - 2*q + 0*q + 29 - 78 + 28. Let z(o) = -6*o**2. What is m(z(d))? 12*d**2 + 6 Let t(s) = s + 0*s - s - 4*s. Let i(q) be the third derivative of q**7/2520 - q**5/60 - 2*q**2. Let x(g) be the third derivative of i(g). Calculate x(t(f)). -8*f Let y(o) = -4*o - 9*o - 13*o + 29*o. Let t(b) = -b**2 - 1. Give t(y(z)). -9*z**2 - 1 Let y(l) = 3*l. Let k(j) = 5*j. Let z(p) = 5*k(p) - 8*y(p). Let a(n) be the second derivative of 23*n**4/12 + 3*n. Determine z(a(b)). 23*b**2 Let s(y) = -854*y**2. Let i(v) be the second derivative of -v**3/6 - 879*v. Give i(s(g)). 854*g**2 Let a(v) = 24*v. Let y(x) be the second derivative of x**6/360 + 3*x**4/4 + 3*x. Let g(h) be the third derivative of y(h). Determine a(g(p)). 48*p Let y(o) = 150*o. Let v(i) = -239*i**2 + 1. Calculate y(v(k)). -35850*k**2 + 150 Let d(r) = -r**2. Let y be (-8)/(-12)*(-156)/(-8). Suppose 6 = -3*o + 4*k, -2*o + 6 = 5*k - y. Let h(m) = -11*m**2 + m**2 - 2*m**2 - 2*m**o. What is h(d(c))? -14*c**4 Suppose -3*r + 70 = -2*l, -3*r - 5*l + 29 + 27 = 0. Suppose -4*y + 25 = -b, -r = -3*y + b - 2. Let j(a) = -y + 8 - 3 + 2*a**2. Let g(s) = -2*s. What is j(g(c))? 8*c**2 Let g(t) = 1. Let i(r) = -6*r + 54. Let h(z) = -6*g(z) + i(z). Let x(p) = -p + 2. Let a(s) = -h(s) + 24*x(s). Let b(y) = -3*y + 4*y - 2*y. Give a(b(j)). 18*j Let h(b) = b**2 + 866*b + 1. Let d(o) = -29*o. Give d(h(q)). -29*q**2 - 25114*q - 29 Let s(n) be the second derivative of n**3/3 - 2*n + 12. Let d(c) = -23*c. Calculate d(s(b)). -46*b Let v(i) = i. Let c(p) be the third derivative of p**4/12 - 101*p**3/2 + 2*p**2 + 27*p. Calculate v(c(t)). 2*t - 303 Let z(p) = 4854603*p. Let h(o) = -2*o**2. Give z(h(n)). -9709206*n**2 Let r(o) = 6*o**2 + 7. Let b(n) be the first derivative of -n**3/3 + 7. Give b(r(m)). -36*m**4 - 84*m**2 - 49 Let o(m) = -5*m**2 - 33*m + 1. Let h(i) = -i. Calculate o(h(v)). -5*v**2 + 33*v + 1 Let c(o) = 6*o**2 - o**2 + o**2. Let i(l) be the third derivative of -l**5/30 - 312*l**2. Give c(i(r)). 24*r**4 Let m(p) = -9*p**2. Let s(x) = -11*x. Let t(c) be the first derivative of 5*c**2/2 - 23. Let j(b) = -6*s(b) - 13*t(b). Determine m(j(n)). -9*n**2 Let l(f) = 2133*f. Let m(w) = 10*w. Give l(m(i)). 21330*i Let a(y) = 7*y**2. Let l(g) be the second derivative of g**4/6 - 24*g + 3. What is a(l(w))? 28*w**4 Let k(r) = -9*r**2 + 12*r + 12. Let h(z) = -z**2 + 2*z + 2. Let l(o) = -6*h(o) + k(o). Let d(q) = -179*q. What is l(d(x))? -96123*x**2 Let k(u) = -2*u. Let g(z) = -2*z - 12. Let r(f) = -11*f - 68. Let t(m) = -34*g(m) + 6*r(m). Give t(k(p)). -4*p Suppose -23 = 2*m - 5*b, 3*b + b = m + 19. Let q(w) = -w - m + 1. Let a(v) = 0*v + 2*v - 4*v + 3*v. Calculate q(a(d)). -d Let z(o) = -o**2. Let i = 1 - -1. Let n be i/7 + 234/63. Let a(c) = -4*c**2 + n*c**2 + 5*c**2. Determine a(z(j)). 5*j**4 Let h(i) be the third derivative of 1/12*i**5 + 0*i + 0*i**4 + 0*i**3 + 11*i**2 + 0. Let m(y) = 3*y. What is m(h(w))? 15*w**2 Let x(v) = -16*v. Let i(g) = 4*g + 2. Let w(s) = -3*s - 3. Let k(o) = -3*i(o) - 2*w(o). Calculate x(k(h)). 96*h Let n(z) = -2*z. Let i(d) = -d**3 - 3*d**2 + 4*d. Suppose -3*x - 7 - 5 = 0. Let w be i(x). Let j(b) = 5*b + 0*b + w*b. Calculate j(n(g)). -10*g Let o(x) = -3*x**2. Let c(t) = -6526*t. Determine o(c(d)). -127766028*d**2 Let n(y) = y. Let m be (-13)/11 + (-2)/(-11). Let p(c) = 20*c. Let a = -1 + -2. Let f(b) = -b. Let l(s) = a*f(s) + m*p(s). Give l(n(k)). -17*k Let s = 21 + -19. Let w(b) = -60*b**s + 365*b - 365*b. Let m(v) = -2*v**2. Give m(w(f)). -7200*f**4 Let z be (-1 + -9)/(7/(2065/(-10))). Let k be (0 + 590)/(4 + -2). Let s(f) = -z - 4*f + k. Let q(a) = a. What is q(s(o))? -4*o Let m(c) = 5*c**2. Let v(x) = -25*x + 35. Let q(r) = -4*r + 6. Let u(n) = -35*q(n) + 6*v(n). Give u(m(w)). -50*w**2 Let a(s) be the third derivative of s**4/8 + 4*s**2 + 5*s. Let x(m) be the second derivative of 7*m**4/6 - 11*m. Calculate x(a(w)). 126*w**2 Let h(p) = p**2. Let k(r) = 148*r - 5066. Give k(h(f)). 148*f**2 - 5066 Let g(m) = -54*m - 47*m + 150*m - 47*m. Let c(l) be the first derivative of 0*l**2 - 2 - 3*l**2 + 0*l**2. Calculate g(c(x)). -12*x Let n(a) = 2*a**2. Let w(h) = -6*h - 3. Let s(p) = p + 1. Let d be (-2 - -1)*(-5 - -7). Let v(t) = d*w(t) - 6*s(t). Determine n(v(i)). 72*i**2 Let d = 26 - 24. Let x(l) = -12 + 2*l**d + 12. Let r(j) = 21*j**2. Give x(r(b)). 882*b**4 Let y(s) = 2*s**2. Let g(h) be the second derivative of -h**5/60 - 3*h**2 + 10*h. Let a(o) be the first derivative of g(o). Calculate a(y(t)). -4*t**4 Let k(t) = 3*t**2 + 13. Let a(v) be the third derivative of -v**4/24 + 3*v**2 + 9. What is k(a(u))? 3*u**2 + 13 Let p(i) be the first derivative of -2*i**2 - 1. Let q(k) = 12*k**2 + 28*k - k - 27*k. Determine q(p(c)). 192*c**2 Suppose -4*c + 11 + 25 = 0. Let b(i) = -c*i + 0*i + 10*i. Let a(d) = -9*d. Calculate a(b(w)). -9*w Let h = 610 + -202. Let p(n) = 408 + n - h. Let b(k) = k. Give p(b(f)). f Let t(c) = 22*c + 2. Let m(b) = -29*b - 2. Let n(a) = 6*m(a) + 5*t(a). Let p(v) = 3*v. What is p(n(q))? -192*q - 6 Let c(j) be the second derivative of j**4/12 - 20*j - 11. Let w(q) = 29*q - 3. Calculate w(c(p)). 29*p**2 - 3 Suppose i - 10 + 5 = 0. Let m(r) = -9*r**2 - 5*r + 5. Let g(f) = 5*f**2 + 3*f - 3. Let q(a) = i*g(a) + 3*m(a). Let z(j) = 3*j**2. Determine q(z(u)). -18*u**4 Let o(t) = 3*t. Let s(j) = -2527*j - 2. Determine s(o(v)). -7581*v - 2 Let u(d) = -2*d. Let b(z) = z**3 + 4*z**2 + z - 4. Let h be -6*(-2 - -1)/(-2). Let y be b(h). Let q(w) = w**y + 5*w**2 - w**2. Calculate q(u(r)). 20*r**2 Let q(r) = -9*r**2. Let y(w) = 11*w - 4747. Calculate y(q(d)). -99*d**2 - 4747 Let t(r) = 58*r**2 + 75*r**2 + 61*r**2 + 21*r**2 - 50*r**2. Let c(v) = 4*v. Calculate c(t(h)). 660*h**2 Let s(j) be the first derivative of j**5/120 - j**3/3 + 2. Let r(g) be the third derivative of s(g). Let b(a) = -4*a**2 - 79 + 79. What is b(r(n))? -4*n**2 Let m(b) = -3*b**2 + 977. Let r(i) = -11*i. Calculate m(r(l)). -363*l**2 + 977 Let z(o) = -84*o + 35. Let i(b) = 7*b - 3. Let y(m) = 70*i(m) + 6*z(m). Let r(n) = 6*n. Give y(r(x)). -84*x Let k(a) = -374*a**2. Let x(l) = 215*l**2. Determine k(x(h)). -17288150*h**4 Let v(p) = 2*p - 1. Let l(y) = 14*y**2 + 6*y - 3. Let o(x) = -l(x) + 3*v(x). Suppose j = 3*j. Let m(f) = -f + j*f - f. Calculate m(o(i)). 28*i**2 Let s = 21 - 19. Let u(z) = -4*z**2 - 2*z**2 + 8*z**s. Let o(x) = -2*x + 40. Let a(t) = -4. Let l(h) = -40*a(h) - 4*o(h). Calculate u(l(g)). 128*g**2 Let i(u) = -16*u. Let p(l) be the first derivative of l**6/360 + 16*l**3/3 + 4. Let v(z) be the third derivative of p(z). Give v(i(m)). 256*m**2 Let k(b) = 15*b. Let m(o) = -706*o**2 - 10. Determine m(k(w)). -158850*w**2 - 10 Let t(f) = 3*f**2. Let g = -1 - -2. Let u(v) = -5*v - 9 - 2 - g + 5. Let s(a) = 3*a + 5. Let b(o) = 7*s(o) + 5*u(o). Calculate t(b(h)). 48*h**2 Let q(o) = 9*o**2 - 5*o + 5.
{ "pile_set_name": "DM Mathematics" }
2*t**4 - 4*t + x*t wrt t? -24*t**2 Find the second derivative of 2*d + 2*d - 4*d - 8*d - 29*d**3 wrt d. -174*d Suppose 4*g - 3 = 5. Let t(p) = -p**3 + 8*p**2 - p + 9. Let o be t(8). What is the derivative of 1 - o + z**4 - g wrt z? 4*z**3 Let z = -2 + 4. What is the third derivative of q**2 + q**4 - 6*q**z + 0*q**2 wrt q? 24*q Let c(l) = 5*l**4 - 14*l. Let a(x) = -3*x**4 + 7*x. Let f(b) = -5*a(b) - 2*c(b). Find the second derivative of f(z) wrt z. 60*z**2 Find the third derivative of -9*d**2 + 44*d**4 - 6*d**4 + 61*d**2 wrt d. 912*d Let m(a) be the second derivative of -13*a**5/20 - 15*a**2/2 + 44*a. Differentiate m(x) with respect to x. -39*x**2 Let r = -3 - -5. Differentiate 4 + 0 + r*n + n**3 - 2*n with respect to n. 3*n**2 Let c(s) = s**2 - 7*s + 8. Suppose -25 = -5*x - y, 5*x + 4*y = -1 + 11. Let l be c(x). What is the second derivative of -l*b - 2*b**5 - 4*b**5 + 5*b**5 wrt b? -20*b**3 What is the derivative of 6 + 6 + 4 + 18*p**2 wrt p? 36*p Let a(f) be the second derivative of -23*f**4/12 - 14*f**2 + 29*f. What is the first derivative of a(o) wrt o? -46*o Let d(x) be the third derivative of -x**9/72 - x**5/10 + x**2. Find the third derivative of d(l) wrt l. -840*l**3 Suppose 0 = -3*i + 4 + 2. Suppose 5*g + 8 = 2*y, -2*g - 20 = i*g - 5*y. Find the first derivative of 0 + 1 + b**3 + g wrt b. 3*b**2 Let j be 7/(-2)*-2*1. Differentiate 0 + j*i**3 - 3*i**3 - 3 with respect to i. 12*i**2 Let o(f) = -f**3 + 4*f**2 + 3*f - 7. Let u be o(4). What is the second derivative of 10*q + u*q**4 + 7*q**4 - 5*q**4 wrt q? 84*q**2 Find the second derivative of -2*u**2 + 4*u + 9*u + 16*u**2 - 2*u wrt u. 28 Let i(b) be the second derivative of b**4/3 + 17*b**2/2 + 3*b. What is the derivative of i(w) wrt w? 8*w Let y = -1 + 0. Let j be (0 - -2)*y - -5. Find the second derivative of i + 2*i**4 + 4*i**3 - 4*i**j wrt i. 24*i**2 Let h(c) be the second derivative of c**5/30 + c**4/12 - c**2 - 3*c. Let s(f) be the first derivative of h(f). What is the second derivative of s(v) wrt v? 4 Let g(z) be the third derivative of 5*z**8/336 + 5*z**4/24 + 4*z**2. Find the second derivative of g(l) wrt l. 100*l**3 Let p be 0 - (-4 - 20/(-8)). Let i(g) be the first derivative of -2 + 0*g + p*g**2 + 1/3*g**3. Find the second derivative of i(c) wrt c. 2 Let m(d) = -9*d**3 + 3*d**2 + 8*d + 3. Let o(v) = 18*v**3 - 7*v**2 - 16*v - 7. Let p(i) = 14*m(i) + 6*o(i). Find the second derivative of p(u) wrt u. -108*u Let r(p) = -p**2 - 1. Let u(q) = 33*q**4 - q**2 - 3. Let i(v) = 3*r(v) - u(v). What is the third derivative of i(y) wrt y? -792*y Let s = 5 + -1. What is the first derivative of 1 + 2*b**4 - 3*b**4 - 5 + 0*b**s wrt b? -4*b**3 Let j(l) = -3*l**4 + 6*l**2 - 3. Let p(y) be the third derivative of y**7/210 - y**5/60 + 2*y**2. Let d(n) = j(n) + 6*p(n). Differentiate d(r) wrt r. 12*r**3 Find the third derivative of -5*r**5 + 3*r**5 + 3*r**2 - r**2 + 9*r**5 wrt r. 420*r**2 Let u(w) be the third derivative of 0*w + 0*w**7 + 1/84*w**8 + 1/12*w**4 + 0*w**5 + 0 + 0*w**6 + 0*w**3 + 3*w**2. What is the second derivative of u(l) wrt l? 80*l**3 Let s(f) = 24*f + 40. Let z(v) = 5*v + 8. Let n(h) = 3*s(h) - 14*z(h). Let x(l) = -2*l - 8. Let i(a) = 4*n(a) + 5*x(a). Find the first derivative of i(r) wrt r. -2 Let t(h) = -2*h - 4. Let p(r) be the first derivative of -2 - 7/2*r**2 - 17*r. Let m(u) = -2*p(u) + 9*t(u). Differentiate m(o) with respect to o. -4 Suppose 0 = -5*g + g + 8. Suppose 2 - 1 = d + j, -g*d + 20 = -4*j. Find the third derivative of 5*p**2 - d*p**2 - 2*p**2 + 0*p**6 - 3*p**6 wrt p. -360*p**3 Let u(j) be the third derivative of -j**7/168 + 7*j**4/24 - 2*j**3/3 - 2*j**2. Let n(c) be the first derivative of u(c). What is the derivative of n(a) wrt a? -15*a**2 Suppose 0 = 5*j - 18 - 2. Find the first derivative of -o**4 + o**4 - o**j - 2*o**4 + 2 wrt o. -12*o**3 What is the third derivative of 19*h**2 + 8*h**2 + 36*h**4 - 71*h**4 wrt h? -840*h Let j(w) be the first derivative of -w**8/1680 - w**5/40 + 2*w**3/3 - 1. Let c(z) be the third derivative of j(z). Find the second derivative of c(o) wrt o. -12*o**2 Let k(i) = -7*i**2 - 12*i - 2. Let f(q) = q**2 - q - 1. Let r(m) = -2*f(m) + k(m). Find the second derivative of r(s) wrt s. -18 Let s(z) be the second derivative of 0*z**5 + 0 - 1/10*z**6 - z + 0*z**2 + 0*z**3 + 1/12*z**4. Find the third derivative of s(n) wrt n. -72*n Suppose 4 = 2*u + 2*u. Let b be (-11 + u + 2)/(-2). Find the first derivative of 0 + 0 + 2 + 2*a**b wrt a. 8*a**3 Let y(w) = -w**2 + 2. Let v be y(0). Find the third derivative of 253*n**3 - 7*n**v - 253*n**3 - 5*n**6 wrt n. -600*n**3 Let q(l) = 10*l**3 + l + 6. Let u(y) = 21*y**3 + 2*y + 13. Let w(x) = -13*q(x) + 6*u(x). Find the second derivative of w(t) wrt t. -24*t What is the third derivative of 33*x**4 + 34*x**4 - 40*x**2 + 36*x**4 - 100*x**4 wrt x? 72*x Let k(a) be the first derivative of 7 + 0*a**2 - 11/3*a**3 + 0*a + 0*a**4 + 7/5*a**5. Find the third derivative of k(b) wrt b. 168*b Let f = -9 - -11. What is the third derivative of 5*x**4 - 6*x**4 + f*x**4 + 0*x**4 + 8*x**2 wrt x? 24*x Let w(c) be the third derivative of -c**2 + 1/60*c**5 + 0*c + 0*c**3 + 1/12*c**4 + 0. What is the second derivative of w(r) wrt r? 2 Let n(w) = 2*w**4. Let s(h) = 3*h**4 + h**2. Let d(f) = f + 3. Let g be d(0). Let m(t) = g*s(t) - 5*n(t). What is the third derivative of m(b) wrt b? -24*b Let w(j) be the second derivative of -j**5/4 + j**4/6 + 9*j**2 + 14*j. Differentiate w(p) with respect to p. -15*p**2 + 4*p Let p(c) be the third derivative of c**8/3360 - c**6/180 + c**4/8 + 4*c**2. Let f(y) be the second derivative of p(y). Find the second derivative of f(u) wrt u. 12*u Let t = -5 + 8. Suppose -k - 10 = 3*h, -1 - 1 = -3*k - h. Find the third derivative of -t*w**6 + k*w**6 + 4*w**6 - 3*w**2 wrt w. 360*w**3 Let u be (6/10)/(3/15). Suppose u*w + w = 20. Find the third derivative of 4*s**2 - w*s**4 - 4*s**4 + 5*s**4 - s**2 wrt s. -96*s Let t(d) = -6*d**3 + 15*d. Let f(v) = -v**3. Let o(a) = -2*f(a) - t(a). Find the second derivative of o(k) wrt k. 48*k Let k(q) be the third derivative of -q**9/56 + 43*q**5/60 - 17*q**2. Find the third derivative of k(z) wrt z. -1080*z**3 Let p(c) be the second derivative of -c**5/5 + c**3/2 + 5*c. What is the second derivative of p(r) wrt r? -24*r Let f(g) be the second derivative of -g**5/20 + 23*g**2/2 - g. Differentiate f(v) with respect to v. -3*v**2 Suppose 0 = 3*s - 0*s + 18. Let b(r) = -8*r**2 + 8*r + 7. Let h(y) = -7*y**2 + 7*y + 6. Let z(d) = s*b(d) + 7*h(d). What is the second derivative of z(g) wrt g? -2 Let a be 1/(-2)*(4 + -10). Differentiate 2*h - 2*h - 7 - a*h**3 + 1 wrt h. -9*h**2 Let u(s) be the first derivative of -4/3*s**3 + 0*s**4 + 5/7*s**7 + 0*s + 6 + 0*s**5 + 0*s**2 + 0*s**6. Find the third derivative of u(h) wrt h. 600*h**3 Suppose -3*r - h + 76 = -0*h, r + 3*h - 36 = 0. Find the second derivative of 24*u**2 - r*u**2 - 3*u**3 - 4*u - 4*u**3 wrt u. -42*u Let b be (-20)/(-9) - (-6)/(-27). Let y be (-4)/2 + 4 + b. What is the second derivative of 3*v - y*v - 3*v**4 + 2*v**4 wrt v? -12*v**2 Differentiate -1 + 3*i**2 + 2*i**2 + 3 - 3*i**2 wrt i. 4*i Let m(n) be the second derivative of 31*n**3/3 - 43*n**2/2 + 52*n. Differentiate m(k) with respect to k. 62 Find the third derivative of 3*d**5 - 5*d**2 + d**5 + 10*d**2 + 7*d**2 wrt d. 240*d**2 Let u(l) = 9*l**2 + 2*l + 42. Let m(f) = 27*f**2 + 7*f + 127. Let s(c) = -2*m(c) + 7*u(c). What is the first derivative of s(o) wrt o? 18*o Let z(w) be the second derivative of -9*w**5/20 + 7*w**4/6 - 12*w. What is the third derivative of z(t) wrt t? -54 Find the third derivative of 15*i**2 + 29*i**2 - 17*i**5 - 7*i**2 - 4*i**2 wrt i. -1020*i**2 Suppose 0*d + 2*d + 4*n = 860, 2*d = -n + 848. What is the first derivative of 422*o - d*o + 8 - o**4 wrt o? -4*o**3 Let t = 2 - 2. Let p be (-6)/4*(t - 2). What is the third derivative of -2*u**2 + u**5 + p*u**2 + u**5 wrt u? 120*u**2 Let h(z) = -12*z**3 + 4*z**2 - 2. Let o(y) = 36*y**3 - 13*y**2 + 7. Let b(v) = -7*h(v) - 2*o(v). What is the third derivative of b(s) wrt s? 72 Let t be 3/((-6)/20)*-1. Suppose -t = -5*h + 5. Find the third derivative of -h*x**3 + 3*x**3 + x**4 - 2*x**2 wrt x. 24*x Suppose 0 = -4*n - 3 + 35. Suppose 3*s = n*s - 10. What is the third derivative of m**5 - 6*m**
{ "pile_set_name": "DM Mathematics" }
6, 4669? 215*b**2 - 2*b + 1237 What is the i'th term of -140, -754, -1902, -3686, -6208, -9570, -13874? -17*i**3 - 165*i**2 + 42 What is the i'th term of -102, -94, -84, -72, -58, -42? i**2 + 5*i - 108 What is the x'th term of -1396527, -1396526, -1396525, -1396524, -1396523, -1396522? x - 1396528 What is the n'th term of -5928, -5955, -5982, -6009, -6036, -6063? -27*n - 5901 What is the m'th term of 2055, 1842, 1479, 960, 279? -m**3 - 69*m**2 + m + 2124 What is the j'th term of 13554, 27086, 40618, 54150, 67682? 13532*j + 22 What is the g'th term of 188454, 188445, 188434, 188421, 188406, 188389, 188370? -g**2 - 6*g + 188461 What is the a'th term of 94076, 188150, 282224, 376298? 94074*a + 2 What is the a'th term of 526, 1052, 1578? 526*a What is the d'th term of 1524, 6038, 13562, 24096, 37640, 54194, 73758? 1505*d**2 - d + 20 What is the y'th term of 498, 259, -140, -699, -1418? -80*y**2 + y + 577 What is the w'th term of 1071, 2189, 3307, 4425, 5543, 6661? 1118*w - 47 What is the j'th term of 13, -115, -243? -128*j + 141 What is the y'th term of 6741, 13478, 20205, 26916, 33605? -y**3 + y**2 + 6741*y What is the a'th term of 144, 549, 1204, 2103, 3240, 4609, 6204? -a**3 + 131*a**2 + 19*a - 5 What is the w'th term of 62, 426, 1414, 3338, 6510, 11242? 52*w**3 + 10 What is the n'th term of -4586, -4570, -4548, -4520, -4486, -4446? 3*n**2 + 7*n - 4596 What is the c'th term of -3391370, -6782745, -10174122, -13565501, -16956882, -20348265, -23739650? -c**2 - 3391372*c + 3 What is the k'th term of 17343, 17355, 17381, 17421, 17475, 17543, 17625? 7*k**2 - 9*k + 17345 What is the h'th term of -5241, -5239, -5237, -5235, -5233, -5231? 2*h - 5243 What is the u'th term of 3783, 4208, 4633, 5058, 5483? 425*u + 3358 What is the u'th term of 6720, 6729, 6742, 6759, 6780, 6805, 6834? 2*u**2 + 3*u + 6715 What is the h'th term of -164, -960, -1754, -2546, -3336, -4124? h**2 - 799*h + 634 What is the w'th term of -292, -259, -238, -235, -256, -307? -w**3 + 40*w - 331 What is the j'th term of -179714, -359426, -539138, -718850, -898562, -1078274? -179712*j - 2 What is the g'th term of -17797, -17797, -17807, -17833, -17881? -g**3 + g**2 + 4*g - 17801 What is the d'th term of -61, 145, 399, 701, 1051? 24*d**2 + 134*d - 219 What is the w'th term of -22040, -22061, -22088, -22121, -22160? -3*w**2 - 12*w - 22025 What is the b'th term of 142, 298, 564, 946, 1450, 2082, 2848, 3754? b**3 + 49*b**2 + 2*b + 90 What is the u'th term of -1260853, -1260854, -1260855, -1260856? -u - 1260852 What is the z'th term of 3121, 6266, 9413, 12562, 15713, 18866? z**2 + 3142*z - 22 What is the p'th term of -5661, -11361, -17057, -22749? 2*p**2 - 5706*p + 43 What is the c'th term of 5548, 11086, 16624? 5538*c + 10 What is the v'th term of -149, -1341, -4621, -11033, -21621, -37429? -174*v**3 + 26*v - 1 What is the j'th term of -19314, -19309, -19302, -19293? j**2 + 2*j - 19317 What is the y'th term of -743, -712, -645, -524, -331, -48, 343? 3*y**3 + 10*y - 756 What is the w'th term of -462, -923, -1384? -461*w - 1 What is the k'th term of -1248, -1330, -1414, -1500, -1588, -1678? -k**2 - 79*k - 1168 What is the v'th term of 3023, 6084, 9147, 12212, 15279? v**2 + 3058*v - 36 What is the o'th term of 1175, 2480, 3779, 5072, 6359, 7640, 8915? -3*o**2 + 1314*o - 136 What is the t'th term of 599, 1139, 1677, 2213, 2747, 3279, 3809? -t**2 + 543*t + 57 What is the t'th term of 44, 37, 22, -1, -32, -71? -4*t**2 + 5*t + 43 What is the n'th term of 8663, 17317, 25973, 34631, 43291, 51953? n**2 + 8651*n + 11 What is the p'th term of 35429, 35430, 35431, 35432? p + 35428 What is the h'th term of -3290, -6562, -9834, -13106? -3272*h - 18 What is the g'th term of -164, -77, 12, 103, 196? g**2 + 84*g - 249 What is the t'th term of 1007, 8076, 27281, 64694, 126387? 1012*t**3 - 4*t**2 - 3*t + 2 What is the v'th term of -392, -1595, -3594, -6389, -9980, -14367, -19550? -398*v**2 - 9*v + 15 What is the p'th term of -5541, -5544, -5547, -5550, -5553? -3*p - 5538 What is the i'th term of -17, 77, 237, 457, 731, 1053? -i**3 + 39*i**2 - 16*i - 39 What is the p'th term of 48865, 97730, 146595? 48865*p What is the h'th term of -1793, -1723, -1631, -1523, -1405, -1283? -h**3 + 17*h**2 + 26*h - 1835 What is the b'th term of 134, 722, 1308, 1892? -b**2 + 591*b - 456 What is the m'th term of -18762, -18759, -18756? 3*m - 18765 What is the i'th term of 24, 83, 228, 507, 968, 1659, 2628? 8*i**3 - 5*i**2 + 18*i + 3 What is the a'th term of -1647, -1651, -1675, -1725, -1807, -1927, -2091, -2305? -a**3 - 4*a**2 + 15*a - 1657 What is the p'th term of -4915, -4950, -4985, -5020? -35*p - 4880 What is the j'th term of -6105, -6068, -6007, -5922? 12*j**2 + j - 6118 What is the y'th term of -38, -242, -734, -1658, -3158, -5378? -24*y**3 - 36*y + 22 What is the z'th term of -17971, -35946, -53915, -71872, -89811? z**3 - 3*z**2 - 17973*z + 4 What is the w'th term of 4014, 4011, 3994, 3957, 3894? -w**3 - w**2 + 7*w + 4009 What is the m'th term of -470508, -940984, -1411444, -1881882, -2352292, -2822668, -3293004? m**3 + 2*m**2 - 470489*m - 22 What is the q'th term of 65, 190, 427, 800, 1333, 2050, 2975, 4132? 4*q**3 + 32*q**2 + q + 28 What is the b'th term of -275, -473, -635, -761, -851? 18*b**2 - 252*b - 41 What is the g'th term of 3100599, 6201200, 9301801, 12402402? 3100601*g - 2 What is the d'th term of 130116, 130110, 130104? -6*d + 130122 What is the a'th term of -59499, -59433, -59367? 66*a - 59565 What is the d'th term of -292, -572, -836, -1084, -1316, -1532? 8*d**2 - 304*d + 4 What is the f'th term of 7311, 6905, 6229, 5283, 4067, 2581? -135*f**2 - f + 7447 What is the a'th term of -411, -300, -189, -78? 111*a - 522 What is the r'th term of -1537, -6216, -14015, -24934, -38973, -56132? -1560*r**2 + r + 22 What is the n'th term of -13, -75, -185, -349, -573? -n**3 - 18*n**2 - n + 7 What is the q'th term of 4774, 9558, 14342, 19126, 23910, 28694? 4784*q - 10 What is the n'th term of 94, 187, 262, 313, 334, 319, 262? -n**3 - 3*n**2 + 109*n - 11 What is the q'th term of 89, 143, 247, 425, 701, 1099, 1643? 4*q**3 + q**2 + 23*q + 61 What is the f'th term of -3463, -3358, -3181, -2932, -2611, -2218? 36*f**2 - 3*f - 3496 What is the p'th term of 384, 738, 1316, 2106, 3096, 4274, 5628? -2*p**3 + 124*p**2 - 4*p + 266 What is the j'th term of -220219, -880871, -1981957, -3523477? -220217*j**2 - j - 1 What is the t'th term of -289, -442, -845, -1618, -2881, -4754? -20*t**3 - 5*t**2 + 2*t - 266 What is the d'th term of 18, 10, -68, -270, -650, -1262, -2160, -3398? -9*d**3 + 19*d**2 - 2*d + 10 What is the z'th term of 198, 238, 360, 606, 1018, 1638? 7*z**3 - z**2 - 6*z + 198 What is the g'th term of -212262, -424531, -636800, -849069, -1061338? -212269*g + 7 What is the a'th term of -11, -53, -121, -227, -383? -2*a**3 - a**2 - 25*a + 17 What is the q'th term of 745, 792, 863, 958, 1077? 12*q**2 + 11*q + 722 What is the o'th term of 504849, 504848, 504847, 504846, 504845? -o + 504850 What is the k'th term of 12270, 24530, 36782, 49026? -4*k**2 + 12272*k + 2 What is the d'th term of -177987, -177975, -177963, -177951, -177939, -177927? 12*d - 177999 What is the d'th term of 251, 1668, 5327, 12290, 23619, 40376? 177*d**3 + 59*d**2 + d + 14 What is the i'th term of 18136, 36165, 54206, 72265, 90348, 108461, 126610? i**3 + 18022*i + 113 What is the m'th term of -669655, -669656, -669657, -669658? -m - 669654 What is the d'th term of -120482, -120483, -120486, -120491, -120498, -120507? -d**2 + 2*d - 120483 What is the p'th term of 744108, 744109, 744110, 744111? p + 744107 What is the k'th term of 25912, 51829, 77748, 103669, 129592, 155517, 181444? k**2 + 25914*k - 3 What is the s'th term of 2940, 11782, 26524, 47166, 73708? 2950*s**2 - 8*s - 2 What is the n'th term of -67518, -67522, -67526, -67530, -67534? -4*n - 67514 What is the l'th term of 190, 712, 1572, 2770, 4306? 169*l**2 + 15*l + 6 What is the o'th term of 271, 191, 97, -17, -157, -329, -539, -793? -o**3 - o**2 - 70*o + 343 What is the z'th term of 22135, 44242, 66347, 88450, 110551, 132650, 154747? -z**2 + 22110*z + 26 What is the l'th term of 1298363, 1298354, 1298331, 1298288, 1298219? -l**3 - l**2 + l + 1298364 What is the f'th term of 65667, 65669, 65671, 6567
{ "pile_set_name": "DM Mathematics" }
-5*q, 2*r - 6*r = 2*q + 2. Suppose 21*u + 36 = 24*u. Suppose l = -r*l - u. Sort -0.1, 5, l. l, -0.1, 5 Suppose 2*w - 22 = -32. Sort w, 2, 1/4, 1/3 in descending order. 2, 1/3, 1/4, w Let k be ((-3)/(-4))/((-1)/(-16)). Suppose -4*w = -0 + k. Let o be w/(-5)*5/(-15). Sort 3, o, 2 in descending order. 3, 2, o Let s = -28 + 33. Sort -1, 2/25, 2, s in descending order. s, 2, 2/25, -1 Let x(t) = -4*t - 2. Let q be x(-1). Suppose -r = -4*r + 24. Sort r, q, -4. -4, q, r Let j(z) = -2*z - 14. Let p be j(-7). Suppose -2*b + 3*v = 3, 5*b - 2*b + v = 12. Suppose -5 - b = -2*y. Put -3, y, p in decreasing order. y, p, -3 Let n be -2 - 2*(-6)/(-4). Let h(o) = o + 2. Let w be h(-4). Let b(v) = -2*v - 1. Let z be b(w). Put -1, n, z in ascending order. n, -1, z Let h be -1*(0 + 0 + -7). Let y be -2 - ((-23)/h + 1). Let x = 2.5 - 2. Sort x, 2/13, y in decreasing order. x, y, 2/13 Let o be (-1*1*1)/1. Let k be -10*(3/(-6))/(-1). Suppose 3 = j - 2*f, f + 3 = -j + 9. Put o, k, j in descending order. j, o, k Let c(o) = -4*o**3 + 2*o**2 - 3*o + 2. Let s be c(1). Put -1, 3, s, -20 in descending order. 3, -1, s, -20 Let y = -2/429 + 463/7293. Let x = y - 20/51. Sort 1, x, 0.1 in ascending order. x, 0.1, 1 Suppose -5*p = -4*b - 10*p + 26, 3*p - 10 = -b. Let z = 17 + -12. Put b, -4, z in decreasing order. z, b, -4 Let z = 0.21 - 0.51. Put 0.1, -4, z, 0 in increasing order. -4, z, 0, 0.1 Let x = 69 + -64. Sort x, -3, -4, 6. -4, -3, x, 6 Suppose -3 + 0 = -v. Let h = -11 + 7. Sort -0.2, h, v in ascending order. h, -0.2, v Let j = 3.1 - -0.9. Let t = -5 + 7. Let v(f) = -f**2 - 7*f - 7. Let b be v(-4). Sort b, t, j. t, j, b Let t = 0.04 + 1.96. Let b = 0.1 + 0.1. Put t, b, 0.5 in ascending order. b, 0.5, t Let f = -48 - -50.7. Let x = f - -0.3. Put 0, -0.1, x in descending order. x, 0, -0.1 Let d be 2 - 1/2*-2. Put -1, 16, d in descending order. 16, d, -1 Let o = 16.3 + -15. Sort o, -1/2, 4 in descending order. 4, o, -1/2 Let r = 0.011 - 0.321. Put -2, r, -5 in increasing order. -5, -2, r Let v = 5 + -3. Let q = 2 - 2.2. Let x = q + 0.1. Put x, v, 0.1 in descending order. v, 0.1, x Let p = 16 - 21. Put 1/7, 4, p in descending order. 4, 1/7, p Let d(g) = -g**3 + g**2 - 1. Let l be d(-1). Put 2, l, 3 in ascending order. l, 2, 3 Suppose 5*c + 3 + 2 = 0. Let g = 0 - c. Let v be 8/6 + ((-56)/6 - -5). Put g, v, -5 in ascending order. -5, v, g Let p = 11 + -10.91. Put 2/3, -0.5, p in increasing order. -0.5, p, 2/3 Let u(z) = 4*z**2 - 4 + 7*z - 5*z - z**3 + 2*z. Let g be u(4). Let o be 7/(-15) - (-8)/g. Sort 3/2, 2/15, o in decreasing order. 3/2, o, 2/15 Suppose -3*b + 4*q - 1 = 0, -4*b = -0*b + 5*q - 9. Let r = 5 - b. Sort -3, 1, r in decreasing order. r, 1, -3 Let r be -1 + 1*2/12. Let a be (-1)/((-15)/(-12) - 1). Let g be (-6)/(-8) + a/8. Sort g, 3, r in descending order. 3, g, r Suppose 3*u + 9 - 59 = 2*l, -u + 99 = -5*l. Let n be (2 - 3 - l) + -2. Suppose 7*z - 3*z = -n, 3*i + z - 11 = 0. Sort 2, i, 3 in decreasing order. i, 3, 2 Let f be (-3 + 1)*2*(-230)/(-184). Put 1, f, 2 in ascending order. f, 1, 2 Let t(b) = 2*b - 6. Let r be t(5). Suppose -2*i + 5*p = -r*i + 3, 2*p - 2 = -i. Let a = 0 + i. Put 2, -3, a in descending order. a, 2, -3 Let h be (-500)/(-180) + (-4)/(-54)*3. Let n(p) = -2*p - 4. Let y be n(-4). Sort y, -5, h in decreasing order. y, h, -5 Let j = -90.1 - -90. Put -0.4, -3/8, j, -2/11 in decreasing order. j, -2/11, -3/8, -0.4 Let w(q) = q - 8. Let v be w(7). Suppose -6 = 2*j - 0*j. Sort j, 3, v in descending order. 3, v, j Let x = -0.142 + 0.042. Sort 0.1, 2, x. x, 0.1, 2 Suppose 0 = -p + 5*l + 15, 3*p + 2*l = -5 + 16. Let u be (-4)/(-7) + 414/(-63). Let y be (-3)/u*(-16)/(-14). Sort p, y, 1 in decreasing order. p, 1, y Let s = 6 - 10. Let y = -4 - s. Let o = -0.8 - -1. Put o, y, -0.3 in descending order. o, y, -0.3 Let x = -139 - -84. Let r = x + 52.1. Let g = -3 - r. Put g, 0, -1/8 in decreasing order. 0, g, -1/8 Let w be 6/15 - (-56)/(-90). Sort -2/3, w, -3. -3, -2/3, w Let h be (0 - 0) + 1 + -4. Suppose 0 = 2*k + 6, -4*k - 9 = 2*v + k. Suppose 10 = -o + v*o. Sort o, 4, h in ascending order. h, 4, o Suppose 4*z + 4 = -12. Put 4, z, -2 in decreasing order. 4, -2, z Let l = 25 + -7. Suppose -2*j + 2*o + l = -2*o, 4*j + 3*o = -8. Suppose j = 4*f - 3. Put 0, -2, f in descending order. f, 0, -2 Let n(i) = -i - 2. Let v be n(-2). Let o = 0.04 + 2.96. Let x = -3.2 + o. Put 5, v, x in ascending order. x, v, 5 Let s(r) = -r**3 - 2*r**2 + 3*r - 2. Let u be s(-3). Let b(c) = -c**3 + 11*c**2 - 3*c + 34. Let h be b(11). Sort u, -5, h in descending order. h, u, -5 Let o be 117/(-27) - 2/(-6). Let f(g) = -2*g + 2. Let z be f(5). Let k be (z/6)/(3/(-9)). Sort -1, o, k in descending order. k, -1, o Let d be 9/12 - (-1)/4. Let x = d + -5. Let y(i) = -i + 1. Let q be y(4). Sort 2, x, q. x, q, 2 Let t = -9 - -12. Suppose 7 = -b - 0*b - 3*f, 2*b + f = 1. Sort b, t, -1 in increasing order. -1, b, t Let r = -135 - -134. Sort 3, r, 5. r, 3, 5 Let k(p) = p**2 - 6*p + 2. Let x be k(6). Let z = -5 + x. Let h(o) = 3*o - 1. Let l be h(2). Sort -4, l, z in descending order. l, z, -4 Suppose 0 = -4*u - 0*u - 4. Sort -6, u, -4. -6, -4, u Suppose -21*i - 12 = -24*i. Sort 5, i, 1. 1, i, 5 Let r be (6/9)/(4/6). Suppose 7 + 1 = -2*b. Let s(o) = o + 4. Let x be s(b). Put x, 4, r in decreasing order. 4, r, x Suppose -2*a - 2*c = -4 - 0, -4*a + c = 12. Suppose 4 = 2*d + 12. Sort d, a, 4 in increasing order. d, a, 4 Suppose t - d + 7 = -0*t, -3*t - 31 = -5*d. Suppose -2*i = -0*i - 2. Sort 2, i, t in decreasing order. 2, i, t Suppose 6 = 2*n + 3*b - 0*b, n - 3*b = 3. Suppose s + 18 = n*s. Let f(j) = -j**2 + 8*j + 4. Let t be f(s). Put -3, t, 1 in decreasing order. 1, -3, t Let c = -8/5 - -34/15. Sort 0.2, c, 2. 0.2, c, 2 Let h be (0 + -3 + 3)/(-2). Suppose -2*i - 10 = -h*i. Sort i, 5/4, 4 in decreasing order. 4, 5/4, i Let m be (-3)/1 - (0 + 1). Let v(x) = -x**3 - 7*x**2 + 8*x + 4. Let n be v(-8). Let a be m/16 - 7/n. Put -4, a, 3 in descending order. 3, a, -4 Let b = 0.35 + -0.28. Let c = 1.47 - 1.4. Let p = b - c. Put 0.2, p, 1 in descending order. 1, 0.2, p Let x = -0.093 - 2.907. Let d = 0.1 + -0.1. Let b = d + 0.2. Put 0.4, x, b in descending order. 0.4, b, x Let u be 2/(1 + 2/(-1)). Suppose -3*t - 5 - 10 = 0. Sort u, 2, t. t, u, 2 Let a be 13/(-26) - (-1)/(-2). Put a, 0, -2/11, -2/15 in descending order. 0, -2/15, -2/11, a Let x(h) = h - 4. Let l be x(4). Let o = 1 + -1. Suppose l = a - o*a - 4. Put -2, 1, a in decreasing order. a, 1, -2 Suppose -12 = -4*l - 0*l. Let i(q) = -q**2 - 9*q - 7. Let f be i(-8). Sort -5, f, l in increasing order. -5, f, l Let k = 1.1 - 0.8. Suppose 0 = 2*v + 2*f - 7*f + 35, 2*v + 5*f = 15. Let h be (v/(-65))/(2/(-4)). Sort k, -4/9, h in descending order. k, h, -4/9 Let j = -1.1 - -7.1. Let i = 5.8 - j. Sort 0.4, -5, i. -5, i, 0.4 Suppose -23*q + 26*q + 12 = 0. Sort 1, -1, q in decreasing order. 1, -1, q Let j = 572/867 - -2/289. Put j, 0.36, -1 in increasing order. -1, 0.36, j Let d = 5.8 + 1.2. Let x = d - 5. Sort -0.1, x, 3/4 in decreasing order. x, 3/4, -0.1 Let l be 3 + -18*(-2)/(-4). Suppose 2*p - 5*w - 12 = 0, -6*p - 3*w = -p + 1. Put p, l, -4 in descending order. p, -4, l Let q = -2.3 - 2.7. Put 4, 14, q in ascending order. q, 4, 14 Suppose -7*r - 1 = -8*r. Put r, 3, 2 in decreasing order. 3, 2, r Suppose -2 = 2*u - 0*u + a, -a = -3*u - 13. Sort -5, 4, u, 3 in increasing order. -5, u, 3, 4 Let k = 0.14 + -0.64. Sort k, 1, 0.1. k, 0.1, 1 Let p be 3276/495 - 6 - 4/5. Suppose 2*o + 2*o - 29 = 3*y, -5*o - 3*y = -16. Let q = -2/223 + -428/2007. Sort o, p, q in decreasing order. o, p, q Let j = 0.9 - -1.7. Let h = 3.6 - j. Let p = 7.7 - 8. Sort p, -4, h in descending order. h, p, -4 Suppose d - 2*d = -3. Let l(i) = i + 4. Let z be l(-7). Sort z, d, 4 in descending order. 4, d, z Let s = -215 - -1933/9. Let u = -8 - 25. Let l be 1/(-3) - u/(-9). Put s, l, 4 in decreasing order. 4, s, l Let y = -482112 - -6271263/13. Let p = 293 - y. Let r = -6.28 + 0.28. Sort p, r, -2 in descending order. p, -2, r Suppose -5*s - 2*z = 5, s + 3*z - 4 = 5*s. Sort 3, 7, -2, s in ascending order. -2, s, 3, 7 Suppose -48 = -3*l - 6. Let k = l + -15. Put k, 3, -2 in descending order. 3, k, -2 Let k(i) = -i**3 - 16*i**2 + 15*i - 31. Let h be k(-17). Let u be (4/6)/((-10)/6). Put u, h
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {j: 1, s: 1, w: 4, i: 6, t: 1, b: 3}. What is prob of picking 1 b, 1 t, 1 w, and 1 i? 18/455 Two letters picked without replacement from vdfddvfgfdfffffffv. What is prob of picking 2 f? 5/17 What is prob of picking 3 q when three letters picked without replacement from {q: 1, e: 19}? 0 Two letters picked without replacement from hhhh. What is prob of picking 2 h? 1 Four letters picked without replacement from bbcpbbcpbcbbc. What is prob of picking 3 p and 1 b? 0 Three letters picked without replacement from {b: 3, a: 3}. What is prob of picking 2 b and 1 a? 9/20 Four letters picked without replacement from nnfknkkn. What is prob of picking 1 n, 1 f, and 2 k? 6/35 Four letters picked without replacement from wmrrrscwycmwwy. What is prob of picking 2 m and 2 y? 1/1001 What is prob of picking 1 a, 1 l, 1 f, and 1 c when four letters picked without replacement from {a: 2, c: 1, f: 1, u: 1, b: 1, l: 2}? 2/35 Four letters picked without replacement from ivdidid. Give prob of picking 1 i and 3 d. 3/35 What is prob of picking 1 p, 1 g, 1 h, and 1 u when four letters picked without replacement from uhguupuhhuuumuuguhu? 22/969 Two letters picked without replacement from {m: 1, o: 1, s: 2, k: 2}. Give prob of picking 1 k and 1 o. 2/15 Four letters picked without replacement from mdmdmssssxdxtm. What is prob of picking 3 d and 1 x? 2/1001 Four letters picked without replacement from ellppglcepecmppgcclc. Give prob of picking 1 g, 1 p, 1 l, and 1 c. 40/969 Three letters picked without replacement from {y: 4, v: 2}. Give prob of picking 1 y and 2 v. 1/5 Three letters picked without replacement from zakztoztaktkzkodzttk. Give prob of picking 1 t, 1 z, and 1 k. 25/228 Three letters picked without replacement from {j: 6, o: 7}. Give prob of picking 3 o. 35/286 What is prob of picking 3 x when three letters picked without replacement from yhhhqhxhxhqyxxhhhqhx? 1/114 Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {q: 2, g: 4, p: 1, l: 2, h: 5}. 10/91 Calculate prob of picking 3 t and 1 g when four letters picked without replacement from {t: 4, s: 6, g: 1}. 2/165 Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {x: 3, a: 8, e: 2, z: 4}. 3/340 What is prob of picking 1 y and 1 q when two letters picked without replacement from {y: 6, q: 4, z: 2}? 4/11 What is prob of picking 1 x, 2 q, and 1 k when four letters picked without replacement from kxxxqqkkxqxkk? 15/143 Two letters picked without replacement from {c: 8, l: 1, g: 8, i: 1}. Give prob of picking 2 g. 28/153 Calculate prob of picking 2 c and 2 q when four letters picked without replacement from {p: 7, c: 2, q: 5, f: 4}. 1/306 Three letters picked without replacement from eeseelseelhesleln. What is prob of picking 1 n and 2 l? 3/340 Three letters picked without replacement from {m: 2, s: 8}. What is prob of picking 2 m and 1 s? 1/15 Two letters picked without replacement from {w: 5, p: 9}. Give prob of picking 2 p. 36/91 Calculate prob of picking 2 l and 1 s when three letters picked without replacement from lslsylly. 3/14 Calculate prob of picking 1 w and 1 i when two letters picked without replacement from ffililllllllwliflllf. 3/190 Two letters picked without replacement from {v: 2, n: 2, b: 1, x: 1, d: 1}. Give prob of picking 1 v and 1 x. 2/21 Three letters picked without replacement from {i: 6, z: 7}. What is prob of picking 3 z? 35/286 What is prob of picking 3 s and 1 j when four letters picked without replacement from jsjjsjsjsjjss? 28/143 Calculate prob of picking 1 e and 1 s when two letters picked without replacement from geslaga. 1/21 Four letters picked without replacement from {u: 5, i: 1, a: 9, v: 1, q: 1}. Give prob of picking 2 a, 1 u, and 1 q. 9/119 What is prob of picking 1 n and 1 d when two letters picked without replacement from udn? 1/3 Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {s: 5, a: 2, n: 2, k: 1, x: 1, r: 4}. 1/105 What is prob of picking 3 y when three letters picked without replacement from {p: 1, k: 1, y: 1}? 0 What is prob of picking 1 q and 1 i when two letters picked without replacement from qccdcddiccci? 1/33 Three letters picked without replacement from kkknnnkkktttt. What is prob of picking 2 t and 1 k? 18/143 Two letters picked without replacement from twgltwttggllwtlylt. Give prob of picking 1 l and 1 g. 5/51 Two letters picked without replacement from wcmlnnmu. What is prob of picking 2 u? 0 Calculate prob of picking 2 p and 2 e when four letters picked without replacement from lfelleeelllelplpeeel. 28/4845 Three letters picked without replacement from ppeepypep. Give prob of picking 3 p. 5/42 What is prob of picking 4 h when four letters picked without replacement from hzsqv? 0 Two letters picked without replacement from rrrarrrrrrarrrrrbrar. What is prob of picking 1 r and 1 a? 24/95 Four letters picked without replacement from {d: 2, z: 6, h: 1, e: 2, l: 1}. What is prob of picking 1 d, 1 z, 1 h, and 1 l? 4/165 Two letters picked without replacement from rgrb. Give prob of picking 1 r and 1 g. 1/3 Calculate prob of picking 2 e and 2 n when four letters picked without replacement from {e: 17, n: 3}. 8/95 Calculate prob of picking 1 p and 2 u when three letters picked without replacement from pwuwug. 1/20 Two letters picked without replacement from {b: 7, g: 7}. What is prob of picking 2 g? 3/13 What is prob of picking 1 v and 2 g when three letters picked without replacement from {v: 2, g: 4}? 3/5 What is prob of picking 1 r and 2 w when three letters picked without replacement from {a: 1, l: 1, f: 1, w: 2, r: 1, h: 1}? 1/35 Two letters picked without replacement from {d: 3, u: 1, p: 3, j: 4}. What is prob of picking 1 p and 1 j? 12/55 Four letters picked without replacement from oqccqqc. Give prob of picking 1 o and 3 q. 1/35 Three letters picked without replacement from {c: 1, h: 2, o: 2}. Give prob of picking 1 c and 2 h. 1/10 Two letters picked without replacement from nnnnlknnnlnnknlkllk. What is prob of picking 2 n? 5/19 Four letters picked without replacement from {r: 2, f: 4}. Give prob of picking 2 r and 2 f. 2/5 Calculate prob of picking 1 v and 1 h when two letters picked without replacement from vkvhvvvkvvvvvh. 20/91 Two letters picked without replacement from {w: 6, z: 4}. Give prob of picking 2 z. 2/15 Four letters picked without replacement from mmvmmvvmvmmmmm. What is prob of picking 4 m? 30/143 Calculate prob of picking 1 k and 1 q when two letters picked without replacement from nqkdlladnqnn. 1/33 Three letters picked without replacement from nddnnnnndddnnnnddndd. What is prob of picking 1 d and 2 n? 33/76 Four letters picked without replacement from {c: 2, k: 3, i: 9, q: 3}. What is prob of picking 1 c and 3 i? 6/85 Two letters picked without replacement from {e: 2, p: 2, x: 1, i: 1, c: 1, a: 1}. Give prob of picking 1 i and 1 c. 1/28 Calculate prob of picking 1 z and 2 y when three letters picked without replacement from zygsyyyzlylsygyzz. 21/170 Calculate prob of picking 2 a when two letters picked without replacement from {l: 6, a: 4}. 2/15 Calculate prob of picking 3 m when three letters picked without replacement from {p: 1, m: 7, b: 6}. 5/52 Two letters picked without replacement from oriioffllofo. Give prob of picking 2 l. 1/66 Four letters picked without replacement from zztzpwwawja. What is prob of picking 3 z and 1 t? 1/330 What is prob of picking 1 i and 3 f when four letters picked without replacement from nffnnnffffinf? 7/143 Two letters picked without replacement from {s: 2, r: 2, w: 3, h: 5}. What is prob of picking 1 w and 1 s? 1/11 What is prob of picking 2 w when two letters picked without replacement from jwwyjwj? 1/7 What is prob of picking 1 e and 1 g when two letters picked without replacement from ggggmeegeeememg? 12/35 What is prob of picking 2 y and 1 v when three letters picked without replacement from {v: 3, y: 8}? 28/55 Two letters picked without replacement from {s: 1, y: 1, c: 2, z: 3}. Give prob of picking 1 c and 1 z. 2/7 Four letters picked without replacement from {t: 2, q: 3, b: 2, j: 6, s: 1}. Give prob of picking 2 j, 1 q, and 1 s. 45/1001 What is pro
{ "pile_set_name": "DM Mathematics" }
+ 6. Suppose k - 2 = -z, k - j*z + 6 = 4*k. Let v(l) = 3*l - 2. Let r be v(k). Give w(r). -4 Let o(j) = -j**3 + j**2 + 11. Let u be -3*(-1 - (-7)/3). Let z be u/5*1*-5. Suppose 0 = 3*h - z*h. Calculate o(h). 11 Let c(t) = -2 - t**2 + t + 2*t + t + 1. Give c(5). -6 Let m = 51 - 152/3. Let k(a) be the second derivative of 0 - m*a**3 - a - 1/12*a**4 + a**2. What is k(-2)? 2 Let i(l) = -2*l - 2. Let y(v) = -3*v - 5. Let t(w) = 5*i(w) - 3*y(w). Let f = -6 + 13. What is t(f)? -2 Let w(h) = h**2. Let a(r) = 5*r - 29. Let b be a(6). Give w(b). 1 Let q(g) = 12 - 7 - g + g + 4*g. Determine q(-6). -19 Let o = 29 + -19. Let w be ((-8)/3)/(o/(-15)). Let p(h) = -h**2 + 4*h + 2. Give p(w). 2 Let m(c) = 2*c + 1. Let s = -26 - -14. Let t be s/(-8) - 1/(-2). Calculate m(t). 5 Suppose -5*o - 1 = 4. Let l = 3 + o. Let d(n) = 1 + 0 - l*n + 0*n. Determine d(3). -5 Suppose -501 = 3*b - 489. Let u(v) = 7 - 2 + 5*v - 2*v. Give u(b). -7 Let n(m) be the third derivative of -m**9/60480 + m**8/4032 - m**7/5040 - m**5/20 + 2*m**2. Let h(l) be the third derivative of n(l). What is h(5)? -5 Let q(n) be the first derivative of -n**2/2 + 2*n - 4. Calculate q(3). -1 Let g(q) = q. Let z(m) = 7*m + 5. Let a(b) = -6*g(b) + z(b). What is a(-6)? -1 Suppose y + 2 = -2. Suppose 2*w = 8, -4*w + 0 = -4*j - 4. Let h(i) = -2 - 2*i + 3 - 3*i - i**j - 5*i**2. Calculate h(y). 5 Let x(s) be the first derivative of s**3/3 + 5*s**2/2 - s + 12. Suppose -d - d = 4*z + 12, -4*d + 5*z - 11 = 0. Determine x(d). -5 Suppose 3*a - 9 = -6. Let l(y) = 2*y**2 + 2*y - 1. What is l(a)? 3 Let t(m) = 2 - 4*m**2 + m**3 + 4 - 2 - 6*m. Suppose 7*w - 35 = 2*w. Suppose w = r + 2. Calculate t(r). -1 Let v be 30/9*(-87)/58. Let z(q) be the second derivative of -q**3/3 - 3*q**2 + q. What is z(v)? 4 Let y(q) = 2*q - q + 2 - 17. Determine y(9). -6 Let c(x) = 20*x - 3 - 3 - 6*x - 13*x. Give c(6). 0 Let x(v) = v**3 + 4*v**2 + v - 2. Let b(r) = -r**2 - 10*r - 3. Let a be b(-10). What is x(a)? 4 Suppose 9 - 69 = 10*t. Let g(r) = -r**3 - 7*r**2 - 9*r - 6. What is g(t)? 12 Let v(o) be the third derivative of 2*o**5/15 + o**4/24 - 5*o**2. What is v(1)? 9 Let b(d) be the third derivative of d**5/120 + d**4/8 - d**3/2 - 8*d**2. Let p(j) be the first derivative of b(j). Let o = -7 - -3. Calculate p(o). -1 Let y(r) = 7*r**3 + r**2 + 2*r + 1. Let g = 9 - 7. Suppose 0*w + g*w = -2. Determine y(w). -7 Let i(n) = 2*n**2. Suppose 3*s - 6 = 0, -5*l + 4*s - 2 - 1 = 0. Determine i(l). 2 Let h = -11 - -5. Let t(o) = 2 - o - 1 - 1. Determine t(h). 6 Let c(y) = y**3 + 11*y**2 + 10*y - 6. Let v be c(-10). Let p be v/(-10) + 24/(-15). Let x(q) = 3*q**3 + q**2 - 1. Give x(p). -3 Let y(j) be the third derivative of j**6/40 + j**5/60 - j**4/6 - j**3/2 - 9*j**2. Give y(-2). -15 Let s(g) = -g - 1 - 2*g + 0 + 7. Let f(w) = 2*w. Let n be f(2). Calculate s(n). -6 Let q = 7 - 6. Suppose -2*i - q = 3. Let f(s) = s**2 + 3*s + 2. What is f(i)? 0 Let g be -3 - (4 - 10/(-15)*-3). Let j(t) = 3*t + 7. Determine j(g). -8 Suppose 0*o = 2*o. Suppose -2*r + o*r = -l + 6, 15 = -4*l - 5*r. Let k(u) = u**3 - u**2 - 3. What is k(l)? -3 Let y(u) = -6*u**3 - 6*u + 9. Let w(f) = f**3 + f**2 - f - 1. Let d(k) = k**3 + k**2 - 1. Let b(c) = 2*d(c) - w(c). Let h(p) = 5*b(p) + y(p). Determine h(5). -1 Let u(f) be the first derivative of -f**2/2 + 2*f + 6. Determine u(8). -6 Let w(n) = -4*n. Let i(s) = -9*s + 1. Let j(k) = -6*i(k) + 14*w(k). Let t(u) = -u + 2. Suppose 7*a - 35 = 2*a. Let b be t(a). Give j(b). 4 Let y(g) = g**2 - g. Let o(w) = -7*w**2 + 12*w + 8. Let t(s) = -o(s) - 6*y(s). Determine t(6). -8 Let z(s) = -s - 3. Let v = -14 + 8. What is z(v)? 3 Let g(w) = -w - 4. Let p be g(-4). Let h(d) = 2*d + 2 + 1 + p. Let q = 1 - 4. Calculate h(q). -3 Let w(l) = l**3 - 6*l**2 + 4*l + 2. Suppose 3*h - 29 = -5*o, -h - 5*o + 7 = -4*o. Let k be 34/6 - 2/h. What is w(k)? -3 Let m be (-4)/(-6) + -1*(-8)/(-12). Let r(c) be the second derivative of 3*c - 1/20*c**5 + 5/6*c**3 + m + 1/3*c**4 - c**2. Give r(5). -2 Suppose 5*c + 55 - 20 = 0. Let s be (12/(-21))/(1/c). Let f(n) = n - 4. What is f(s)? 0 Let m(c) = 5*c - 1. Suppose t - 14 = -16. Give m(t). -11 Suppose k - 13 = -2*d, 5*k = d + 2*d. Let o(q) = -1 + d*q - 3*q + 5 - q. Determine o(0). 4 Let o(w) = 3*w**3 - w**2 + w - 1. Let y be 2/(-13) + (-93)/(-13). Let f(n) = -n**3 + 7*n**2 + n - 6. Let t be f(y). Suppose -t = 2*j - 3. Determine o(j). 2 Let u(v) = -6*v + 1. Let h(r) = -r - 1. Let d(p) = -2*h(p) + u(p). Suppose -6*x - 5 = -x, x - 9 = -2*y. Let w = y - 2. What is d(w)? -9 Suppose 5*q - 2*f - 3*f + 10 = 0, 0 = -2*q - 3*f + 6. Let m(z) = q*z**2 + 7 + 7*z + z**2 + 0*z**2. Let r = -21 - -16. Determine m(r). -3 Let k(w) = 8 + 224*w**3 - 2*w + 207*w**3 + 6*w**2 - 432*w**3. Let t = 14 - 8. Determine k(t). -4 Let s(k) be the first derivative of -2 - 2*k**2 - 4/3*k**3 - 1/4*k**4 - 4*k. What is s(-3)? -1 Let t(f) = -13*f**3 + 2*f**2 + f - 3. Let l(w) = 53*w**3 - 9*w**2 - 5*w + 13. Let c(g) = 2*l(g) + 9*t(g). Let b = 10 - 11. Determine c(b). 11 Let z(f) = -8*f - 1. Let p = -1 - 0. Give z(p). 7 Let t(l) be the second derivative of l**3/3 + 3*l**2/2 + 38*l. Calculate t(5). 13 Let u = 1 + -1. Let k(p) = -p**3 - 3*p**2 - p - 4. Let o(f) = -f**3 - 4*f**2 - f - 4. Let v(t) = 5*k(t) - 4*o(t). Calculate v(u). -4 Suppose 7*f = 12*f - 25. Let r(z) = 0*z**3 + 3 - 6*z - 4*z**3 - 4*z**2 + z**3 + 4*z**3. Calculate r(f). -2 Suppose -5*b - 2*n + 30 = -47, -3*n - 27 = -2*b. Let u be (-40)/b - (-4)/6. Let v(k) = k**2 + k - 2. Give v(u). 0 Let z(w) = w - 3. Let r = -16 + 19. Determine z(r). 0 Let o(i) = i + 0*i + 6 - 2*i. Calculate o(0). 6 Let b(n) = 3*n - 3. Let q(h) = h**2 + 2*h + 2. Let r be q(-2). Suppose 0 = 5*y - r*y - 6. Give b(y). 3 Let j(k) = 2*k - 6. Suppose -4*z = 5*w - 8*w + 24, 2*w + 4*z - 16 = 0. Give j(w). 10 Let b(t) be the second derivative of -3/2*t**2 + 0 + 2/3*t**3 - 2*t - 1/6*t**4. Give b(2). -3 Let a(b) = -b**2 + 6*b. Suppose -12 = -8*w + 5*w. Let v = 7 - w. Determine a(v). 9 Suppose 1 - 7 = -2*a. Let y(x) = 4*x - 4. Determine y(a). 8 Let x(n) = n**2 - 1. Let w(p) = -4*p**2 - 8*p - 4. Let b(k) = -w(k) - 3*x(k). Give b(-5). -8 Let l(a) be the second derivative of a**5/120 + 7*a**4/24 - 2*a**3/3 - 3*a. Let z(d) be the second derivative of l(d). Give z(-6). 1 Let d(h) = -h**2 - 4*h + 6. Let m = -8 + 3. Let k be d(m). Suppose k = 5*c - 2*n, -2*c + 0 = -3*n + 4. Let q(f) = 8*f**2. Determine q(c). 8 Suppose 2*w + 5 = 3*w. Let x(p) = -w*p**2 - 6 + 3 + 0*p**3 - 6*p**3 + 5*p**3 + 6*p. Determine x(-6). -3 Let u(w) = -2*w**2 + 18*w - 20. Let f be u(8). Let b(z) = -2*z - 2 + 0*z - 2. Determine b(f). 4 Let q(m) = 8*m**2 + 5 + 5*m**3 - 5*m - 4*m**2 + 2*m**2 - 6*m**3. Determine q(5). 5 Let b(m) be the first derivative of m**3/3 - 3*m**2/2 - m + 3. Calculate b(2). -3 Let x(y) = 5*y + 11. Let c(m) = m + 3. Let s(g) = -9*c(g) + 2*x(g). Calculate s(6). 1 Let n = 5 + -11. Let p be (-2 - 1)*(-8)/n. Let c(h) = -h**3 - 4*h**2 + h + 1. Give c(p). -3 Let z = 6 + -5. Suppose 12 = 5*c + s, -2*s + 7 = c + z. Let u(p) = c - p - 3 + 2. Determine u(-5). 6 Let a(v) = -7*v**2 + 11*v + 6. Let x(h) = -h**2 + h + 1. Let c(i) = -a(i) + 6*x(i). What is c(6)? 6 Let b(k) = 2*k**3 - 6 + 21*k + k**2 - 14*k - k**3 - 8*k**2. Determine b(5). -21 Let s = -1 - -3. Suppose -4*r - s*b + 0*b = -14, -4*r = b - 11. Let n(x) = -2*x**2 + x + r + 4*x - 4. Calculate n(3). -5 Let a(p) = p**2 + 7*p + 1. Suppose 0 = 2*f - 15 + 21. Give a(f). -11 Let i(o) be the first derivative of 16*o**3/3 + o**2 - o + 11. Calculate i(1). 17 Let o(l) = l + 2. Let u be o(6). Let v(k) = k**3 - 2*k**2 + u - 5 - 5*k + 1. What is v(3)? -2 Let w = -18 - -20. Let s(i) = 4*i - 2. Calculate s(w). 6 Let u(q) = q**2 - 5*q + 6. Suppose -10 = -3*k - 5*g, -2*k - 15 = -2*g + 5. Let s be ((-1)/(-1) + k)/(-1). Calculate u(s). 2 Let h(s) be the third derivative of s**4/24 + 3*s**3/2 - 2*s**2. Let n be h(-5). Let x(o) = o**2 - 4*o - 1. Give x(n). -1 Let f(d) be the first derivative of d**2/2 - d + 7. What is f(1)? 0 Let c(l) be the third derivative of 0*l + l**2 + 7/60*l**5 + 0 - 2/3*l**3 + 5/24*l**4 + 1/120*l**6. Give c(-6). 2 Suppose 0 = -0*z - 4*z + 12. Let d(w) = -1 + 2 + 2*w**2 + 16*w**3 - 17*w**z + w. Suppose -3*x - 4*u - 6 = 0, -x + u = 3*x - 11. What is d(x)? 3 Let a(p) = p**2 - 11*p + 13. Let y = 13 + -3. Let
{ "pile_set_name": "DM Mathematics" }
for v. -49 Solve 17*t + 2139*g - 2140*g = -72, -10*t - 24 = -2*g for t. -5 Solve 2*c - 3*c + 22411 - 22431 = 2*r - 5*r, 4*c - 5*r = -17 for c. 7 Solve 3*r = -3*a + 66, -4*r + 144*a + 82 = 146*a for r. 19 Solve -29*k + 0*y - 3*y = -33*k - 0*y - 28, 19*k = -y + 50 for k. 2 Solve -3643*w + 3641*w = 2*r + 16, 0 = -6*w for r. -8 Solve -3*i - 12 + 13 + 8 = -35 - 19, -3*r + 3*i - 110 = -41 for r. -2 Solve -5*t - 30 = -2*q, -105 + 5 = 8*t - 10*q - 18 for t. -4 Solve 5*x - 10 = -6459*a + 6464*a, -3*x = -17*a + 22 for a. 2 Solve 4*a - 6*k - 8639 = -8797, -193 = 5*a - 3*k for a. -38 Solve 10*t - 24*t + 5*h = -360, -4*t + 94 = 292*h - 289*h for t. 25 Solve 2*q + 68 = -2*s - 24, 43 = -s - 4*q for s. -47 Solve -3*z - z - 224*f + 221*f = 128, 11*z - 8*z + 93 = -3*f for z. -35 Solve -4*f - 35 = 5*l, -7 = l + 5703693*f - 5703689*f for l. -7 Solve -422423 = 3*w + r - 422520, 282 = 8*w - 2*r for w. 34 Solve -5*v - 529 + 439 = -5*y, 3*y = -96*v - 343 - 1088 for v. -15 Solve 2*w + 61 = 5*j, w - 905 = -5*j - 853 for w. -3 Solve 0*a + 5*a - 5 = -10*x + 7*x, -3*x - 4*a = -7 for x. 5 Solve 41923*t = 5*n + 41919*t + 44, 5*t = -5*n - 35 for n. -8 Solve -2*s = -424*w + 426*w - 28, 1190 = w + 148*s for w. 6 Solve -13*p - 4 = 4*g - 17*p, 2 = -3*g - p - 17 for g. -5 Solve h + 6 + 25 = 8*n, 3*n - 2*h - 10 = 0 for n. 4 Solve -1789 = 655*c - 67*c - 5*x, 0 = 600*c - 595*c + 3*x for c. -3 Solve 4*k - 22*m + 10 = -4, 79*k - 132*k - 11 = -56*k - 5*m for k. 2 Solve -2*b + 461*x - 353*x + 610 = 0, 2*x - 60 = -2*b for b. 35 Solve 7*f - 6*f = 16*i + 10, 9*i = -3*f + 10*i + 30 for f. 10 Solve 0 = 127*k - 2*z - 606, 197*z - 437 = k + 206*z for k. 4 Solve 0 = -1402*j + 1405*j - 4*i + 91, 0 = 4*j - 20*i + 488 for j. 3 Solve -7*o - 5*b = -62, -305*o - 41 = -302*o - 4*b for o. 1 Solve f + 19 = 6*y, 7 + 21 - 1 = -9*y + 63 for f. 5 Solve 1263810*j + b - 16 = 1263809*j, 3*j + 15*b - 192 = 0 for j. 4 Solve 322*g - 50 = 2*h + 318*g, -6*g + 9*g = 2*h + 35 for h. 5 Solve 29312*o = 4*w + 29307*o - 44, 0 = 33*w - 7*o - 363 for w. 11 Solve 15*z - 290 = 5*p - 45, 2*p = -2*z + 697946 - 697924 for z. 15 Solve 7*m + 5*y = 59, -4*y - 21839 + 43700 - 21823 = m for m. 2 Solve 3*k + 74702 = 2*m + 74717, 230 = 5*k - 17*m for k. -5 Solve -3*p + q = -63, -24*p - 84 = -28*p - 2*q for p. 21 Solve z + 283 = 597*b - 642*b, -3*z - 179 = b for b. -5 Solve 1294*t + 4 = y + 1300*t, -4*t = y - 6 for y. 10 Solve -87*r + 49*r - i = -1101, 4*r + 4*i = 112 for r. 29 Solve -3*a + 68*r - 51 = 0, -33*a - 35*a - 68 = -64*a + 5*r for a. -17 Solve -6*b - 2*d = -4*b - 10, b + 2157*d - 5 = 2159*d for b. 5 Solve 36*g - 18*g - 16*g = -2*s + 6, 0 = s - 5*g - 9 for s. 4 Solve 2*q - 8*p + 318 = -18*p, -4*q + 719 - 921 = 6*p for q. -4 Solve 3*o = -x - 50, -30*x - 22*o - 154 = -167*x - 21*o for x. 1 Solve -78 = 4*x + 1756*d - 1750*d, -5*x = 3*d + 111 for x. -24 Solve -3*z - 8 = 4*o, 139*z - 9 = -3*o + 64*z + 69*z for o. -5 Solve 5191 - 5203 = 3*y, 2*t + 4*y = 52 for t. 34 Solve 18*o - 82 = -4*s, 5*o + s - 4*s - 182 + 225 = 0 for o. 1 Solve 33*p - 38*p + 10*p + 8*c = 5, 4*p + 13 = -3*c for p. -7 Solve 4*q = 72*i - 57*i + 100, -5*i + 13*q - 30 = 11*q for i. -8 Solve 0 = -3*p - 0*p + 48*a + 165 - 24, 3*p = 2*a - 89 for p. -33 Solve 3 = -4*b - 215*d + 217*d - 8 + 1, 4*b + d = 5 for b. 0 Solve -3*c + 2053*j - 13 = 2052*j - 173, -114 = -3*c - 4*j + 41 for c. 53 Solve -848 = -277*z + 224*z, v + z - 11 = 0 for v. -5 Solve -q = -2*z + 31, -1415 + 720 = 10*q - z - 632 for q. -5 Solve -63*k + 64*k + 1 = 4*i, -515*k + 2*i + 2*i + 9765 = 0 for k. 19 Solve 0 = j - q + 28, 4*j = 771*q - 772*q - 127 for j. -31 Solve 4*m = -12*f - 72, 460*f + 4*m + 58 = 462*f for f. -1 Solve 2*l + 3108 = -774*v, 5*l - 13*v - 8*v - 7*v + 22 + 24 = -32*v for l. -6 Solve -4*g + 406 = 3*h, 0 = 1151*h - 1156*h + g - 90 for h. 2 Solve 0 = 2*l + 3*c, -2950*l - 2957*l - 2948*l + 1 = -8866*l - 4*c - 49 for l. -6 Solve 4*x + x = 2*x - 13*v + 48, 5*v = 2*x + 9 for x. 3 Solve -7*f + 3*j - 79 = 0, -752*j + 35 = -4*f - 751*j - 8 for f. -10 Solve -14*m = -15*m - 5*k + k - 43, 2*m + 76 = -6*k for m. -23 Solve -5*j + 13*y + 95 = 18*y, j + 0*j - 21*y - 13 = -16*y for j. 18 Solve -3*w + 3*z + 9 = 2*z, w + 10237*z - 3 = -0*w + 10236*z for w. 3 Solve 4*a + 0*r + 4*r = 9*r - 96, 10*a - 5*r = -210 for a. -19 Solve 1122*t = 1105*t + 17, 3*o - 3*t - t = 4*o - 7 for o. 3 Solve -6 = -5*f + 3*z - 2*z - 0, 6*f - 76*z = -74*z + 22 - 6 for f. -1 Solve 2*k = -0*f + 2*f - 6, -4*f + 1623*k - 1624*k = -22 for f. 5 Solve -2*a = -5*v - 44, 444*a - 10*v - 90 = 439*a for a. 2 Solve -n + 12*v = -466, n + 5*v = -1491 - 1455 + 2749 for n. -2 Solve 4*x = -3*m - 79, 31*x = -5*m + 19*x - 153 for m. -21 Solve 4*b + 8 = 0, 0*b + 236 = -17*u + 2*u - 54*u - 4*b - 255 for u. -7 Solve 5*t - 3*u = u - 30, 37 = 14*t - u + 19 for t. 2 Solve -5*j - 46 = l, -2*j - 3518*l = -3517*l + 31 for j. -5 Solve 4*z - h - 41783 + 41751 = -13*h, 4 = 3*z - h for z. 2 Solve -127859*q + 58 = 3*r - 127855*q, -3*r = -q - 53 for r. 18 Solve 12 = 3*z + 3*m, -12782*z + 11*m - 80 = -12784*z for z. -4 Solve 0 = -53*b - 5*t + 96, -1253*b + 2509*b = 1258*b - 3*t - 10 for b. 2 Solve a - 1215 = -43*f + 1024 + 876 - 315, 2*f - 120 = 2*a for a. 5 Solve 17*y + 80 = 15*y - 23*j, 0 = 3*y - 5*j - 38 for y. 6 Solve -48*r + 522*q - 523*q - 97 = 0, 0 = -2*r + q - 3 for r. -2 Solve -3*j + 74 = 1693*v - 1691*v, -5*j = 2*v - 45 - 77 for v. 1 Solve 11 = 2*k + 4*p + 49, 136*p = -12*k + 70*p + 70*p - 88 for k. -9 Solve 0 = 5*t + 5*a + 160, -1517*a = -t - 1526*a - 296 for t. 1 Solve 122*o - 121*o + 44*k - 399 = 0, 20*k = -5*o + 23*k - 12 for o. 3 Solve -2*n - 30 = -5*t + 3*n + 13 + 2, 5*t - 110 = 18*n for t. 4 Solve 5*l + y = 15, -12 = 3917*l - 3921*l - 4*y for l. 3 Solve 15568*l = 4*o + 15569*l + 2, -4*o - 4*l - 8 = 0 for o. 0 Solve 0 = 11*c - 5*i - 159, -44744*c + 44741*c = -6*i - 150 for c. 4 Solve 236 = -8*d + 4*u, 0 = d - 3*u - 8300 + 8317 for d. -32 Solve -8*l + 3*l + c + 31 = -2*l, -4*c = 2*l + 68 for l. 4 Solve -52 = -12*k + 4*g - 204, -15*k - 32 = -15*k - 5*g + 83 for k. -5 Solve -15*l + 2 = -z - 2, 5*l - 8*l = -2*z + 19 for l. 1 Solve -5*r = -1459*b + 1463*b + 43, 63 = 3*r - 4*b - b for r. 1 Solve 18*p - 40*p + 8 = -b - 21*p, p + 0*p = 3*b + 24 for b. -8 Solve -3*w - 5249*b + 42 = -5251*b, 110 = -w - 20*b for w. 10 Solve 763*l = -3*z + 764*l + 14, 63*z - 19 = 65*z + 5*l for z. 3 Solve 40 - 13 = 3*r - 2*g + 63, -4*r + 2*g - 46 = 0 for r. -10 Solve -1552*m + 823*m - 219 = -s - 766*m, -4*s = -4*m + 36 for s. -3 Solve 4*s + 5*b + 152 = 127, 3*s + 67 = -b + 51 for s. -5 Solve 889 = 4*y + 4*c + 833, 3*y - 13*c = -70 for y. 7 Solve -2*m - 110 = -7*i, 99*m + 3*i = 39*m + 63*m + 135 for m. -41 Solve 5*m + 3*l - 92 = 253, 9*l + 213 = 3*m + 2*l + 10*l for m. 66 Solve -71 = -3*c + 8*o - 421, 0*c - c + 2*o + 127 = 5*o for c. -2 Solve 0 = -5*b + 5*c + 85, -b = 3*c - 830 + 889 for b. -2 Solve 44903*m - 14*p - 76 = 44905*m, 2*m + 4 = -2*p for m. 4 Solve -2*o = 4*b - 56, -95*o + 100*o - 128 = -4*b for o. 24 Solve -w - w + 242 = -10*u, -4*w - 7*u + 5*u = 66 for w. -4 Solve -2*b - 65 = -5*x - 126 + 85, 4*b + x + 4 = 0 for b. -2 Solve 1124*u - 1128*u - 79*z + 149 - 17 = 0, -u - z = -2*z - 33 for u. 33 Solve -j + 13*m - 10*m + 11 = -53, 4*m + 87 = 3*j for j. 1 Solve -t - 2*q = -38 + 3, 5*q = 21*t + 205 for t. -5 Solve -6*a + 26 = v, 9*v - 167 = -10*v + 3*a + 51 + 42 for v. 14 Solve 2*h = -2*h - 16, 0 = -2*m + 5*h - 47 + 57 for m. -5 Solve 49*q - 53*q = 4*g - 44, -2*q + 38 = 6*g for q. 7 Solve 4*a - 5*l - 68 = 0, 7920 = -2*l + 7888 for a. -3 Solve -5*i + 22 = d + 3, -53*d - 1 - 50 = i + 2*d for i. 4 Solve 5*o + 6625*q - 8 = 6623*q, 4*o = 2*q - 8 for o. 0 Solve 0 = -232227*q + 232226*q - 92*j + 430, 5*q + 140 = -2*j for q. -30 Solve 0 = 3*d - 3*b, 10*d + 12 = 12*d + b - 0*b for d. 4 Solve 5*w = 3*y - 65, -74325 = 3*w + 3*y - 74310 for w. -10 Solve 0 = q + 3*g - 33, 14*q = 10*q - 20*q - 5*g + 243 + 214 for q. 18 Solve -47 = -37*m + 5*v + 3*v - 5*v, -2*m - 2*v + 4 = -m - 16 for m. 2 Solve 64084*d = 4*k + 64079*d - 79, -4*k + 52 = 4*d for k. 16 Solve 5*i + 40*d - 885 = 0, 1400 - 1356 = 2*d for i. 1 Solve 2*c - 24 = 2*b - 5*b, 325221*b + c - 12 = 325220*b for b. 0 Solve 35 = 7*u + 2*u - 5*u - 5*n, -2735*n + 373 = -5*u - 2312 for u. 10 Solve 2*r = 3*f - 0*r + 35, 212*f - 215*f =
{ "pile_set_name": "DM Mathematics" }
e hundreds digit of y? 1 Suppose -4*z = -3*l + 229 + 303, z = l - 177. What is the units digit of l? 6 Let j(z) = -2*z**3 - 11*z**2 + 3*z - 7. What is the units digit of j(-9)? 3 Let h(g) = -g**3 - 13*g**2 - 22*g + 41. What is the units digit of h(-14)? 5 Let v(d) = d**3 - 22*d**2 - 14*d - 15. What is the tens digit of v(23)? 9 Suppose -1 = -u - v, 7*u - 3 = 4*u - 4*v. Let g(r) = -u + r - 7 - 4 + r**2 + 3*r. What is the tens digit of g(-9)? 3 Let n be (2/(-3)*1)/(16/(-360)). Let v = n + 2. What is the tens digit of v? 1 Let u(k) = 2*k**2 + 22*k + 37. Let c = 132 + -150. What is the units digit of u(c)? 9 Suppose 5*b - 3*k - 467 = 0, -3*b + 107 = -2*b - 4*k. Let a = b + -59. What is the tens digit of a? 3 Let k(i) = -i**3 + 9. Let x be k(0). Let v(t) = t**2 - 9*t - 2. Let w be v(x). What is the tens digit of -2 + (-100)/(-2) + w? 4 Suppose 5*w + 4283 - 13123 = 0. What is the units digit of w? 8 Suppose -4*k + 3*s - 4819 = 0, 3344 = -5*k + 2*s - 2678. What is the units digit of (-1)/5 - k/20? 0 Suppose c = -2*c - 3*j + 84, 0 = 2*c + j - 56. What is the units digit of c? 8 Let c(l) be the second derivative of l**4/12 - l**3/2 - 10*l**2 + 4*l. What is the tens digit of c(-9)? 8 What is the units digit of ((-794)/5)/((-264)/(-40) - 7)? 7 Let h(z) = 6*z**3 + 223*z**2 + 24*z + 18. What is the hundreds digit of h(-37)? 4 Suppose 3*a + 9 = 5*q, 3*a + 2*a = -4*q - 15. Let c(y) = y**2 + 116. What is the units digit of c(q)? 6 Let k = 30 - 43. Let f = 17 + k. What is the tens digit of 220/30*6/f? 1 Let m be 0/15 - (-1 + -2). Suppose -2*x = -3*x + m*r + 97, 332 = 4*x + 2*r. What is the tens digit of x? 8 Suppose 0 = -i + 2*o + 2228, -i - 40*o + 2222 = -45*o. What is the hundreds digit of i? 2 Let l = -4089 + 5837. What is the units digit of l? 8 Suppose 5*w + 1315 = 5*q, -3*q + w + 783 = 4*w. What is the hundreds digit of q? 2 Suppose -64*w = -61*w - 7728. What is the tens digit of w? 7 Let q = 6 - 6. Suppose q = -3*h + g + 182, -5*g + 18 = -2. Suppose -10*m + h = -8*m. What is the tens digit of m? 3 What is the hundreds digit of (-2)/9 - 186054/(-594)? 3 Let j be (59/2)/(10/20). Let w = 5 + j. What is the tens digit of w? 6 Suppose 0*n = -4*n + 28. Let i = n + -2. Let r(x) = x**3 - 6*x**2 + 7*x - 1. What is the units digit of r(i)? 9 Suppose 8*n - 40 = 0, -106*k + 3210 = -101*k + 4*n. What is the tens digit of k? 3 Suppose a = 2*f - 4 - 5, -2*f + 4*a = 0. Let n = f - -61. What is the units digit of n? 7 Suppose 2460 = 6*z - 0*z. What is the units digit of z? 0 Let g(k) = 2 - 5 - 2*k - 5. Let y be g(-6). Let p(w) = 2*w**2 - 3*w - 3. What is the units digit of p(y)? 7 Suppose 0 = 2*b + 4*d - 550, 5*b + 4*d - 200 = 1163. What is the units digit of b? 1 Let t be 4 + -2*119/(-2). Suppose s - 59 = -g, 2*s - 6*g - t = -3*g. What is the units digit of s? 0 What is the thousands digit of ((-207)/(-18) - 12)*-8336? 4 Let u = 1204 - 773. What is the tens digit of u? 3 Let w = 35 - 20. Suppose -4*c = s - 5, 2*c - 7*c + 13 = -s. Suppose -15 = -4*a + c*o + w, 4*a - o - 33 = 0. What is the units digit of a? 9 Suppose -15*a + 1535 = -13*a - 3*r, 0 = 3*a - 4*r - 2301. What is the tens digit of a? 6 Let x be (27/(-18))/(1/10). Let k be 20/6*54/x. What is the tens digit of 2/(8/k)*-15? 4 Let k(l) = -1572*l**3 + 4*l**2 - l - 4. What is the units digit of k(-1)? 3 Let l(j) = j**3 - 5*j**2 + 14*j + 3. Let a be l(6). Suppose -a = -2*h + 35. What is the tens digit of h? 7 Let m(c) = -3*c - 3. Let j be m(-2). Suppose -2*y - 6 = 0, 2*x + y + j = x. Suppose x = -11*i + 7*i + 108. What is the tens digit of i? 2 Let t(z) be the second derivative of z**4/12 - z**3/3 + 91*z**2/2 - 24*z. What is the tens digit of t(0)? 9 Let o(m) = -1207*m - 79. What is the hundreds digit of o(-1)? 1 Suppose 0 = 3*g - 22*f + 25*f - 654, -4*g - f + 881 = 0. What is the tens digit of g? 2 Let u(g) = 2*g**2 - 8*g + 61. What is the tens digit of u(8)? 2 Let a(g) = -g + 0*g**2 + 4*g**2 + 3*g + 26 - 3*g**2. What is the units digit of a(-9)? 9 Suppose 0 = m - 2, -17*s - 3*m - 9324 = -22*s. What is the hundreds digit of s? 8 Suppose -5*s + 0*w = 5*w - 40, 4*w = 4*s. Let r be (-9)/3 - (-120)/8. Suppose -s*b = -r, -2*q + 4*q - b - 35 = 0. What is the tens digit of q? 1 What is the hundreds digit of 276/((-9)/((-54)/4))? 4 Let b(z) be the second derivative of z**4/6 - 7*z**3/3 - 5*z**2/2 + 10*z. What is the tens digit of b(10)? 5 Let s(n) = n + 1. Let g be s(-1). Suppose -5*f - q + 596 = g, -5*f + 64 + 535 = 4*q. What is the tens digit of f? 1 Let y(a) = -13*a - 5. Let h be y(-5). Suppose -2*o + h = v + 3*o, -5*v = o - 276. What is the tens digit of v? 5 What is the tens digit of 5*(3 + -7)*-50? 0 Suppose -3*d + d + 6 = 0. Let l be -2*d/(-6)*7. What is the units digit of (-3)/l + (-2223)/(-91)? 4 Let g(i) = 19*i + 165. What is the tens digit of g(6)? 7 Suppose -k + 23 = 5*o, -5*k = -0*o - 4*o + 30. Suppose -x = o*u + 5, 0*x + 3*u = x + 21. Let t(a) = -a**2 - 17*a + 10. What is the tens digit of t(x)? 4 Suppose 51*f - 5 = 50*f. Suppose f*y - 5*s - 85 = 0, -y - 5 + 37 = 2*s. What is the units digit of y? 2 Let s(c) = -2*c**2 + 18*c - 16. Let n be s(7). Let g(z) = 2*z + 25. What is the units digit of g(n)? 9 Suppose 40813 = 39*r - 50993. What is the units digit of r? 4 Let q be -1 - (-1 - 0 - 3). Let w(a) = -2*a**3 - a**3 + a**q + 3*a**3 + 4*a**2 - 3 - 7*a. What is the units digit of w(-5)? 7 Suppose 2*p - h = 4*p - 11, 5*h - 22 = p. Suppose 20 = -p*j - 16. Let z = j - -20. What is the units digit of z? 8 Let h(q) = 41*q + 2. Let p be h(2). Let a(t) = -t**3 + 20*t**2 + 42*t + 91. Let u be a(22). Let w = p - u. What is the tens digit of w? 3 Let d(i) = 5*i**3 - 8*i**2 - 2*i - 2. Let u be d(6). Suppose 242 = 4*m - u. Suppose -16*f + 11*f + m = 0. What is the units digit of f? 1 Let f(s) = s**3 + 3*s**2 - s - 2. Let i(y) = -y**3 + 14*y**2 + 16*y - 13. Let v be i(15). What is the units digit of f(v)? 6 Let a be (0 + -2)/((-11)/(-220)). Let k = 61 + a. What is the tens digit of k? 2 Suppose -3*r = 69 - 819. Suppose 0 = m - 4, -r = -2*u - 0*m - 4*m. What is the units digit of u? 7 Let p be ((-199)/2)/(2/(-4)). Suppose 5*u = p - 29. Let y = u + -19. What is the tens digit of y? 1 Let w(l) be the third derivative of -l**5/60 - 3*l**4/4 - 8*l**3/3 + l**2. Let t = -1409 + 1393. What is the units digit of w(t)? 6 Let m = -190 - -673. What is the tens digit of m? 8 Let y(m) = 11*m**2 + m - 4. Let i be y(-4). Suppose 6*o = 37 - 13. Suppose -4*q - o*x = -i, -11 = -4*q + 4*x + 189. What is the tens digit of q? 4 What is the tens digit of 1*7 - (-1075 + 34)? 4 Let y be (15/(-20))/((-2)/(-8)). What is the hundreds digit of 267 + -1 + 11 + y + -4? 2 Let k(x) be the second derivative of 3*x**4 - 5*x**3/6 + x**2/2 - 7*x. What is the units digit of k(1)? 2 Suppose -5*y + 2*d + 5982 + 2173 = 0, 2*d - 6524 = -4*y. What is the hundreds digit of y? 6 What is the units digit of (-22)/(-2)*12/(-84)*-1477? 1 What is the thousands digit of ((-59)/177)/((-2)/10434)? 1 Suppose 7*x - 56 = 3*x. Let f = -8 + x. Suppose f - 5 = w. What is the units digit of w? 1 Suppose 5*y = -w - 146, 4*w - 46 = 3*y - 699. Let b = w + 107. Let i = b - -86. What is the tens digit of i? 3 Suppose 0 = 5*v + 3*w - w - 41, -3*w + 16 = v. Let t(y) = -y - 1. Let i(c) = 2*c - 14. Let g(r) = i(r) - 6*t(r). What is the units digit of g(v)? 8 Let l(g) = g**3 + 6*g**2 - 14*g - 16. What is the units digit of l(-7)? 3 Let t(k) = -k**2 + 8*k + 2. Let q be t(8). Suppose 0 = 5*b + 3*p - 19, q*p - 12 = -3*b - 0*p. What is the tens digit of 1 + (51 - (-2 - b))? 5 Let l = 212 + 282. Suppose -2*n + l = 2*x + 3*x, 5*n = x - 115. What is the hundreds digit of x? 1 Suppose -4*i - t - 65 + 0 = 0, 0 = t + 1. Let c be -70*(-21)/(-28)*(-2)/3. Let g = c + i. What is the units digit of g? 9 Let b = -1256 + 2415. What is the units digit of b? 9 Let n = -2588 + 4258. What is the tens digit of n? 7 Let q = 65 - -84. Let b = -102 + q. What is the tens digit of b? 4 Suppose -3*a = -3*j - 0*j + 3, -11 = -4*a + j. Let d = 20 + a. What is the units digit of d/(-40) - (-36)/10? 3 What is the tens digit of 10556/(-65)*(-25)/10? 0 Suppose -a + 0*l = 2*l - 1034, -5*l = -5*a + 5215. Suppose 9*v - a = -v. What is the hundreds digit of v? 1 Suppose 34*l = 72*l - 19000. What is the units digit of l? 0 Let j
{ "pile_set_name": "DM Mathematics" }
0 Let m(u) be the first derivative of -u**6/120 - u**5/15 - 5*u**4/24 - u**3/3 - u**2 - 2. Let o(p) be the second derivative of m(p). Factor o(h). -(h + 1)**2*(h + 2) Let o(u) be the third derivative of u**5/270 - u**4/27 + 4*u**3/27 - u**2 - 2*u. Factor o(k). 2*(k - 2)**2/9 Let p(d) be the first derivative of -15*d**4/4 + 25*d**3/3 + 5*d**2 + 3. Factor p(l). -5*l*(l - 2)*(3*l + 1) Find f, given that -8/5 - 2/5*f**3 + 2/5*f**2 + 8/5*f = 0. -2, 1, 2 Factor 4*r**3 + 9*r**3 + 0*r**4 + 8*r + 3*r + 3*r**4 + 19*r**2 + 2. (r + 1)**2*(r + 2)*(3*r + 1) Let h(j) be the first derivative of j**4/2 + 2*j**3/3 - 5. Factor h(t). 2*t**2*(t + 1) Let f(c) be the third derivative of c**5/60 - c**4/12 + 4*c**2. Find v such that f(v) = 0. 0, 2 Factor 140*t**2 + 6*t - 2*t - 2*t - 4 - 2*t**3 - 136*t**2. -2*(t - 2)*(t - 1)*(t + 1) Let h = 2015/2 - 1002. Find x, given that -h*x**3 - 9/2*x**4 - 2*x**2 + 1/2 - 5/4*x**5 + 3/4*x = 0. -1, 2/5 Suppose 94*w - 96*w = -6. Let q(i) be the second derivative of -1/8*i**3 + 0*i**2 + 1/16*i**4 + w*i + 0. Factor q(l). 3*l*(l - 1)/4 Suppose -21*a**3 - 64*a - 15*a**4 + 32*a + 32*a - 6*a**2 = 0. What is a? -1, -2/5, 0 Let v be (-4)/(-3)*16*(-3)/(-5). Factor -48/5*s**2 - 2/5*s**4 - v*s - 16/5*s**3 - 32/5. -2*(s + 2)**4/5 Let j be (0 + -3)/((-15)/10). Factor -3*o**j + 5*o**3 - o - 6*o**3 + o**2. -o*(o + 1)**2 Let l be 20/(-75)*(-3)/2. Determine y so that 0*y**3 - 4/5*y**2 + 0 + 4/5*y**4 + l*y**5 - 2/5*y = 0. -1, 0, 1 Let h be (-2581)/(-3815) + 6/(-21). Let q = h + 1/109. Solve -3/5*z - 1/5*z**2 - q = 0. -2, -1 Let c(o) be the third derivative of o**6/120 - o**5/15 + 5*o**4/24 - o**3/3 + 2*o**2. Factor c(i). (i - 2)*(i - 1)**2 Let o(g) = g**2 - g + 2. Let k be o(0). Determine a, given that k - 4*a + 1 + a + 3 - 3*a**2 = 0. -2, 1 Suppose 2*k = 10 - 6. Factor 0 - 2*w**3 - 4/5*w**k + 0*w. -2*w**2*(5*w + 2)/5 Let l(s) = -s**2 + 5*s. Let g(c) = c + 15. Let i be g(-10). Let u be l(i). Solve -2/3*o + u + 2/3*o**2 = 0. 0, 1 Let f(u) = u**3 - 3*u**2 - 4*u + 6. Let r be f(4). Let b be r/15 - (-12)/(-80). Let -b + 3/4*j**2 + 1/2*j = 0. Calculate j. -1, 1/3 Suppose 5 + 4 = 3*c. Factor 4*m**2 + m**2 - c*m**2 + 2*m. 2*m*(m + 1) Let c(v) be the second derivative of v**4/78 - 2*v. Factor c(a). 2*a**2/13 Let u(k) be the third derivative of 3/20*k**6 + 1/8*k**4 + 1/5*k**5 + 0 + 1/112*k**8 - 2*k**2 + 0*k**3 + 2/35*k**7 + 0*k. Factor u(i). 3*i*(i + 1)**4 Find g, given that 0*g + 0 - 1/5*g**2 + 1/5*g**4 + 0*g**3 = 0. -1, 0, 1 Let o(s) be the third derivative of s**6/120 + s**5/60 - 5*s**4/24 + s**3/2 + 7*s**2. Factor o(y). (y - 1)**2*(y + 3) Let q(v) be the first derivative of v**3/3 - 14*v**2 + 196*v + 41. Factor q(c). (c - 14)**2 Let y = 7 + -4. Let -i**5 + 25*i**3 - 25*i**y = 0. Calculate i. 0 Let u(s) be the second derivative of s**7/21 - 7*s**6/45 + s**5/6 - s**4/18 - 45*s. Factor u(r). 2*r**2*(r - 1)**2*(3*r - 1)/3 Let n(j) be the first derivative of 0*j + 1/2*j**4 - 4/3*j**3 + j**2 - 1. Factor n(m). 2*m*(m - 1)**2 Let j be (-20)/(-40) + ((-10)/(-4) - 1). Factor -7/3*h**j + 2/3 + 5/3*h. -(h - 1)*(7*h + 2)/3 Let j(f) be the first derivative of f**6/105 - 3*f**5/70 + f**4/14 - f**3/21 - 4*f + 1. Let p(c) be the first derivative of j(c). Factor p(m). 2*m*(m - 1)**3/7 Let l(r) be the third derivative of -r**8/840 - r**7/140 - r**6/60 - r**5/60 - r**4/24 + 2*r**2. Let d(m) be the second derivative of l(m). Factor d(t). -2*(t + 1)**2*(4*t + 1) Let b be 21/2 + (-3)/6. Suppose -3*q + b = 2*q. Factor a + a**q - 2 + 2. a*(a + 1) Suppose 3*a - 10 = -2*a. Find v such that -4*v**2 - 18 - 24*v + 2*v**2 - 6*v**a = 0. -3/2 Let c(i) be the first derivative of 1/6*i**3 + 1 + 0*i**2 + 0*i. Solve c(q) = 0. 0 Find n such that -6*n**2 - 9*n - 39*n + 50 - 9*n**2 - 17*n = 0. -5, 2/3 Determine m, given that 8/3 + 28/3*m**2 - 12*m = 0. 2/7, 1 Let b be 1 - (-1)/((-60)/59). Let d(l) be the second derivative of 1/12*l**3 + 0 - 1/8*l**4 - b*l**6 + 3/40*l**5 + 0*l**2 + l. Factor d(i). -i*(i - 1)**3/2 Let x(a) = a**2 - 5*a + 6. Let b = 15 + -11. Let o be x(b). Determine q, given that -q - 2 + 2 - q**o = 0. -1, 0 Let a(y) = -y**3 + 13*y**2 + 33*y - 20. Let c be a(15). Suppose -c = -5*g + n, 0*n = n + 5. Solve 0 + 1/4*o**3 - 1/4*o + 1/4*o**g - 1/4*o**2 = 0. -1, 0, 1 Let j(v) be the first derivative of 4/9*v**2 - 2/27*v**3 + 8 - 2/3*v. Let j(p) = 0. Calculate p. 1, 3 Let r = 13 - 10. Let -3*c**3 + 19 - 24*c + c**3 + 12*c**2 - r = 0. What is c? 2 Suppose -36/5*c - 3/5*c**2 + 0 = 0. Calculate c. -12, 0 Factor -1/6*d**5 + 0 - 1/6*d + 0*d**4 + 0*d**2 + 1/3*d**3. -d*(d - 1)**2*(d + 1)**2/6 Let z(x) be the third derivative of -x**5/150 - x**4/30 - 7*x**2. Suppose z(g) = 0. Calculate g. -2, 0 Let q(i) be the second derivative of 3*i**3 + 3/40*i**5 - 3/4*i**4 + 0 - 6*i**2 + i. Factor q(g). 3*(g - 2)**3/2 Suppose 0 = -4*o + 5*v + 30, v - 23 = -5*o - 0*o. Factor -3*n**5 - 3*n - o*n**4 + 3*n**4 + 6*n**3 + 2*n**4. -3*n*(n - 1)**2*(n + 1)**2 Let y(g) be the third derivative of -g**5/60 + g**4/8 + 2*g**3/3 + 13*g**2. Factor y(i). -(i - 4)*(i + 1) Let x(n) be the second derivative of -7*n**6/30 - 26*n**5/15 - 10*n**4/3 + 16*n**3/3 - n**2 - 2*n. Let q(a) be the first derivative of x(a). Factor q(c). -4*(c + 2)**2*(7*c - 2) Suppose 3 = -f - 4*b + 28, 50 = 5*f + 5*b. Factor -f*c - 3*c**3 + 0*c - 2*c**4 + 4*c - 4*c**2 - 2*c**3. -c*(c + 1)**2*(2*c + 1) Let z(l) be the second derivative of l**5/60 - 3*l**2/2 + 7*l. Let u(o) be the first derivative of z(o). Determine t so that u(t) = 0. 0 Let y(s) be the third derivative of s**7/210 + s**6/360 + 5*s**3/6 + 5*s**2. Let w(g) be the first derivative of y(g). Solve w(f) = 0. -1/4, 0 Let t = -8 + 10. Let f be -9*((-1)/(-3) + -1). Solve 4*x + f*x**3 + x**2 - 8*x**t + x**2 - 4*x**2 = 0 for x. 0, 2/3, 1 Let a(j) be the third derivative of j**6/480 - j**5/120 - 7*j**4/96 - j**3/6 - 43*j**2. Factor a(z). (z - 4)*(z + 1)**2/4 Let g be (10 + -1)*((-350)/56)/(-25). Factor -3/2 - 3/4*d**3 + 15/4*d + 3/4*d**4 - g*d**2. 3*(d - 1)**3*(d + 2)/4 Let k(s) be the second derivative of s**7/5040 + s**6/2160 + s**3/6 + 3*s. Let n(w) be the second derivative of k(w). Solve n(v) = 0. -1, 0 Let w = 82 + -80. Let v be (-1 - 0)/((-2)/3). Find j such that v*j + 1/2*j**w + 1 = 0. -2, -1 Let f(i) = -i - 1. Let v(o) = -2*o**2 - 24*o - 18. Let p(y) = 44*f(y) - 2*v(y). Solve p(u) = 0. -2, 1 Let c = -1759/4 + 883/2. Suppose -2*p = -r - 7, 2*p - 17 = -r - 8. Factor c*j**2 + 1/4*j - p*j**4 + 0 + 2*j**3. -j*(j - 1)*(4*j + 1)**2/4 Let y(g) = -g + 20. Let v be y(-11). Let q = v - 3. Factor -q*w**4 - 104/5*w**3 - 16/5*w**2 + 98/5*w**5 + 0*w + 0. 2*w**2*(w - 2)*(7*w + 2)**2/5 Let l be 1*(-1)/1 + 120/72. Factor -2/3*t**5 + l*t**4 + 2/3*t**3 - 2/3*t**2 + 0*t + 0. -2*t**2*(t - 1)**2*(t + 1)/3 Factor -4/5*h**2 - 8/5 + 12/5*h. -4*(h - 2)*(h - 1)/5 Let j = 10 - 4. Let o(u) = u**2 - 4*u. Let p(m) = m**2 - m + 1. Let b(g) = j*p(g) + 2*o(g). Suppose b(x) = 0. What is x? 3/4, 1 Let y = -300 - -902/3. Determine r so that -8/3*r**3 + 17/6*r**4 + 0 - 5/6*r**5 + y*r**2 + 0*r = 0. 0, 2/5, 1, 2 Let r(y) = y**2 + y + 1. Let g(o) = o**2 + 6*o - 2. Let v(i) = -2*g(i) + 4*r(i). Suppose v(b) = 0. What is b? 2 Let s(w) be the second derivative of -1/6*w**4 - 1/10*w**5 + 0*w**2 + 5*w + 0*w**3 + 0 - 1/60*w**6. Determine a, given that s(a) = 0. -2, 0 Let m(q) be the second derivative of 9/8*q**2 + 0 + 1/48*q**4 + 1/4*q**3 - q. What is j in m(j) = 0? -3 Let s = 37 - 41. Let p = s + 22/5. Solve 12/5*h + 18/5*h**2 + p = 0 for h. -1/3 Let i(w) be the second derivative of -1/20*w**5 + 0 + 2*w + 0*w**4 + 0*w**2 + 0*w**3 - 1/30*w**6. What is a in i(a) = 0? -1, 0 Suppose 10*h - 14*h + 8 = 0, 4*z - 2*h - 12 = 0. Factor -6/5*q**2 + 9/5*q**z + 9/5*q - 3/5 - 3/5*q**5 - 6/5*q**3. -3*(q - 1)**4*(q + 1)/5 Factor 96*p + 22*p**2 + 7*p**2 + 8*p**4 - 3*p**2 + 32 - 33*p**3 - 3*p**4. (p - 4)**2*(p + 1)*(5*p + 2) Let h(t) be the third derivative of t**5/240 - 5*t**4/96 + t**3/4 + 32*t**2. Factor h(l). (l - 3)*(l - 2)/4 Let g be 5 + ((-258)/54 - 3 - -3). Solve -2/9 - 2/9*q**3 + g*q + 2/9*q**2 = 0 for q. -1, 1 Let d(y) = -y**3 - 6*y**2 - 7*y. Let p be d(-5). Factor 5*g + 2*g - p*g + 3*g**2. 3*g*(g - 1) Suppose 5*t = -2*j - 8, -3*t + 4*j = -t - 16. Factor t + 1/2*m**4 - 1/2*m - 3/2*m**3 + 3/2*m**2. m*(m - 1)**3/2 Let r = -9 + 12. Let i = 6 - 4.
{ "pile_set_name": "DM Mathematics" }
**2 - 2*w. Calculate z(1). -3 Let u(i) = -3*i**3 + 6*i**2 + 5*i - 2. Calculate u(5). -202 Let b(z) = 16*z - 605. Determine b(38). 3 Let n(c) = -c**3 - 2*c**2 + 11*c + 9. Determine n(-4). -3 Let a(z) = -2*z**2 + 7*z - 3. Give a(2). 3 Let f(s) = 3*s**2 - 20*s + 26. Give f(6). 14 Let b(a) = 2*a**3 - 2*a**2 - 3*a + 20. Determine b(0). 20 Let w(s) = -s - 9. Determine w(8). -17 Let m(i) = -i**2 + 5*i - 7. Calculate m(-7). -91 Let c(o) = -2*o**3 + 4*o**2 - 6*o + 3. Determine c(2). -9 Let c(f) = -2*f - 12. Give c(-7). 2 Let d(b) = -2*b - 48. Give d(-4). -40 Let g(v) = -4*v - 2. Calculate g(7). -30 Let i(r) = 2*r**2 - 11*r - 6. Calculate i(-3). 45 Let i(n) = n - 23. What is i(0)? -23 Let p(b) = -20*b - 7. Calculate p(3). -67 Let z(y) = -2*y**2 + 17*y - 6. Calculate z(8). 2 Let h(v) = v**3 - 5*v**2 - 16*v + 16. Give h(7). 2 Let f(o) = -o + 13. Determine f(-4). 17 Let v(h) = -h**2 - 25*h + 33. Give v(-26). 7 Let t(i) = i**2 + 8*i + 12. Determine t(-2). 0 Let x(w) = 7*w + 9. What is x(-5)? -26 Let q(g) = -7*g**2 + 30*g + 11. Determine q(5). -14 Let a(n) = -n**2 + 9*n + 2. What is a(8)? 10 Let i(y) = y + 17. Determine i(-13). 4 Let q(x) = 2*x**3 + 5*x**2 - 14*x - 4. Determine q(-4). 4 Let k(l) = -19*l + 93. What is k(7)? -40 Let m(g) = -4*g**3 + 4*g. What is m(-2)? 24 Let i(c) = -2*c**3 - 2*c**2 + 3*c + 4. Calculate i(-2). 6 Let z(q) = -11*q**2 - q. Give z(-1). -10 Let v(l) = -3*l + 2. Calculate v(3). -7 Let k(h) = h**2 + 27*h + 71. What is k(-3)? -1 Let u(z) = -z**2 + 11*z - 29. Give u(14). -71 Let i(h) = -h**3 + 8*h**2 + 10*h + 1. What is i(9)? 10 Let r(s) = -5*s**2 - 5*s - 2. Give r(-2). -12 Let c(x) = 27*x - 11. Determine c(2). 43 Let r(b) = 2*b**3 + 7*b**2 - 8*b - 3. Give r(-6). -135 Let j(d) = -d**2 - 33*d - 260. Give j(-13). 0 Let d(v) = -108*v + 115. Calculate d(1). 7 Let t(a) = a**2 - 11*a - 7. What is t(12)? 5 Let l(r) = -r**2 + 10*r - 1. What is l(9)? 8 Let k(z) = 7*z + 21. Determine k(-6). -21 Let g(t) = t + 4. Calculate g(-5). -1 Let o(n) = -n**2 + 28*n - 77. Determine o(25). -2 Let o(d) = -d**2 - 2*d - 2. Calculate o(0). -2 Let p(q) = -2*q + 3. Calculate p(4). -5 Let o(b) = 18*b - 75. Determine o(4). -3 Let r(j) = -j**3 - 40*j**2 + 128*j - 39. Determine r(-43). 4 Let j(t) = t**3 + 18*t**2 - 17*t + 43. Give j(-19). 5 Let p(t) = t**2 - 7*t + 16. Give p(5). 6 Let k(l) = l**3 + 3*l**2 + 2*l + 3. Determine k(-3). -3 Let q(h) = h**3 + 17*h**2 + 2*h + 18. What is q(-17)? -16 Let h(j) = -j**2 - 14*j - 12. Calculate h(-13). 1 Let v(u) = u**2 - 6*u - 10. What is v(7)? -3 Let g(y) = y - 27. Calculate g(0). -27 Let w(n) = 4*n - 18. Determine w(6). 6 Let d(a) = -a**2 + 40*a - 381. What is d(16)? 3 Let a(d) = 3*d**2 + 44*d - 13. Calculate a(-15). 2 Let r(w) = w**2 + 4*w - 16. Determine r(4). 16 Let h(p) = p**2 + 5*p - 1. Give h(-6). 5 Let z(b) = -b - 5. Give z(0). -5 Let g(i) = 2*i - 43. Determine g(10). -23 Let c(i) = i**2 - i - 34. Calculate c(0). -34 Let q(h) = 8*h - 16. Give q(7). 40 Let d(s) = -2*s**3 - 12*s**2 + 5. Give d(-6). 5 Let m(l) = -l**2 + 9*l + 12. Calculate m(11). -10 Let p(h) = -h**2 + 2*h. Calculate p(2). 0 Let v(r) = -3*r - 11. Determine v(-6). 7 Let m(n) = n**2 + 5*n - 1. What is m(-4)? -5 Let h(b) = b**3 + 7*b**2 - 62*b - 412. What is h(-6)? -4 Let m(b) = -2*b**3 - b**2 + 2*b - 3. What is m(-2)? 5 Let b(n) = 35*n - 19. Calculate b(1). 16 Let x(s) = -s**2 - 1. Calculate x(-5). -26 Let x(m) = 10*m - 1. Calculate x(3). 29 Let j(l) = -3*l + 38. Give j(15). -7 Let x(i) = -12*i - 5. What is x(2)? -29 Let m(f) = -42*f**2 - 6*f + 7. What is m(1)? -41 Let n(b) = -23*b + 160. Determine n(7). -1 Let o(q) = q + 5. Calculate o(-5). 0 Let y(c) = 2*c**2 - 20*c + 2. What is y(8)? -30 Let v(s) = 15*s - 2. What is v(3)? 43 Let o(d) = 3*d**2 - 39*d + 2. What is o(13)? 2 Let u(m) = -14*m + 68. Calculate u(4). 12 Let h(p) = -18*p - 9. What is h(-5)? 81 Let f(h) = h**3 + 8*h**2 + 5*h - 9. Determine f(-7). 5 Let x(v) = -12*v - 2. Determine x(1). -14 Let y(c) = c**3 + 6*c**2 - 8*c - 10. Calculate y(-7). -3 Let r(n) = -3*n**3 - 16*n**2 - 4*n + 4. Determine r(-5). -1 Let j(w) = w**2 + 12*w - 19. Determine j(-13). -6 Let o(t) = 36*t + 4. What is o(-3)? -104 Let u(s) = -8*s - 4. What is u(-3)? 20 Let c(g) = -g**3 - 33*g**2 - 30*g + 56. Give c(-32). -8 Let f(m) = -5*m + 8. Determine f(7). -27 Let i(o) = o + 4. What is i(-6)? -2 Let p(c) = c**2 - 10*c - 4. Calculate p(5). -29 Let n(h) = -14*h**2 - 3*h. Calculate n(-2). -50 Let h(n) = 4*n - 8. What is h(3)? 4 Let v(l) = l**3 + 13*l**2 + 29*l - 12. Give v(-10). -2 Let o(w) = 3*w**2 - 28*w + 13. Calculate o(9). 4 Let r(g) = -2*g - 17. Determine r(-12). 7 Let g(j) = j. Determine g(0). 0 Let q(u) = -9*u**2 - 2*u + 2. Determine q(2). -38 Let f(v) = -v + 41. Determine f(27). 14 Let b(o) = 5*o - 86. Calculate b(21). 19 Let c(d) = -d**2 + 9*d + 4. Determine c(10). -6 Let j(d) = -d**3 + 7*d**2 - 7*d + 2. What is j(6)? -4 Let a(v) = -23*v**2 - v. Give a(1). -24 Let q(v) = 8*v + 115. Determine q(-17). -21 Let r(n) = 7*n**2 - 23*n - 24. What is r(-1)? 6 Let s(l) = -3*l**2 + 12*l + 4. Give s(6). -32 Let k(q) = -q**2 + 5*q + 162. Determine k(-10). 12 Let m(i) = 3*i**3 - 24*i**2 - 17. What is m(8)? -17 Let i(r) = -r**3 + 7*r**2 + 21*r - 28. Determine i(9). -1 Let b(k) = -4*k - 16. Determine b(-8). 16 Let o(l) = -2*l**2 - 2*l + 7. Calculate o(4). -33 Let q(n) = n**2 + 21*n + 49. Determine q(-4). -19 Let w(l) = -2*l**2 - 5*l + 12. What is w(2)? -6 Let c(z) = 75*z - 366. Determine c(5). 9 Let p(c) = -8*c - 72. Give p(-9). 0 Let a(b) = b**2 + 21*b - 55. Give a(-23). -9 Let v(g) = -2*g - 17. Give v(-13). 9 Let w(y) = -2*y**3 - y**2 + y + 1. Give w(-1). 1 Let d(j) = -2*j**2 - 5*j - 9. Give d(-6). -51 Let n(j) = -16*j - 39. Give n(-7). 73 Let h(o) = -o**2 + 5*o + 22. Give h(-3). -2 Let o(q) = 4*q - 16. Give o(4). 0 Let v(i) = i**3 + 44*i**2 - 47*i - 82. Calculate v(-45). 8 Let i(p) = -2*p**2 + 14*p + 25. Determine i(11). -63 Let z(v) = 13*v - 205. Determine z(20). 55 Let u(s) = 26*s - 3. What is u(5)? 127 Let x(z) = 28*z + 4. Determine x(-1). -24 Let s(h) = 2*h - 5. What is s(6)? 7 Let a(s) = s**2 - 1. What is a(4)? 15 Let n(q) = -q**3 + 11*q**2 - 5*q + 21. Calculate n(11). -34 Let a(s) = 3*s**2 + 5*s - 6. Determine a(-4). 22 Let h(p) = -7*p**2 - 2*p + 9. Give h(4). -111 Let m(b) = b**3 - 52*b**2 + 2*b - 85. Calculate m(52). 19 Let a(w) = -3*w**2 + 55*w - 12. Give a(18). 6 Let u(w) = 3*w**3 - 2*w + 1. Give u(1). 2 Let o(n) = -18*n**3 - 2*n**2 + 1. Calculate o(-1). 17 Let y(s) = 24*s - 5. Calculate y(3). 67 Let l(r) = r**2 + 3*r - 12. What is l(-7)? 16 Let c(k) = 2*k**2 - 11*k - 43. Give c(-5). 62 Let r(p) = -13*p - 70. Give r(-5). -5 Let p(w) = -3*w - 29. Give p(-14). 13 Let w(s) = -s**2 + s + 15. What is w(8)? -41 Let n(m) = -3*m**2 - 40*m + 1. Determine n(-14). -27 Let s(f) = 5*f**2 + 5*f + 2. What is s(-3)? 32 Let z(o) = -2*o**2 - 10*o - 2. Give z(-4). 6 Let m(q) = -2*q**2 - 15*q - 27. What is m(-8)? -35 Let j(r) = 10*r + 213. Give j(-20). 13 Let q(g) = -g**3 - 12*g**2 - 12*g - 10. Determine q(-11). 1 Let u(g) = -14*g - 154. What is u(-13)? 28 Let b(w) = w**3 + 2*w**2 - 8*w - 4. Calculate b(0). -4 Let a(w) = -w**2 - 18*w - 37. What is a(-19)? -56 Let d(h) = -4*h - 114. What is d(-25)? -14 Let p(h) = 2*h**2 - 14*h - 43. Give p(9). -7 Let m(f) = -42*f**2 - 4*f + 2. Calculate m(1). -44 Let d(y) = -y**3 - y**2 + 9. Determine d(2). -3 Let r(d) = -2*d + 2. What is r(5)? -8 Let q(g) = g + 5. Determine q(-20). -15 Let u(i) = -i**3 - 4*i**2 + 5*i - 7. Calculate u(-5). -7 Let h(l) = -7*l - 12. Calculate h(-8). 44 Let v(u) = u**3 - 2*u**2 - 2*u - 6. What is v(3)? -3 Let h(s) = 5*s - 7. Calculate h(-4). -27 Let u(p) = -p**3 + 5*p**2 - 6*p + 10. Give u(5). -20 Let w(o) = -o**2 + 11*o - 5. Calculate w(12). -17 Let m(t) = -10*t + 93. Calculate m(9). 3 Let r(b) = -2*b**2 - 6*b + 4. Determine r(-4). -4 Let p(y) = -21*y + 1. Determine p(-1). 22 Let d(s) = 16*s**3 + 2*s**2 - 3*s + 2. Determine d(1). 17 Let u(j) = 2*j**3 - 23*j**2 - 8*j - 33. What is u(12)? 15 Let q(f) = f - 7. What is q(2)? -5 Let h(f) = -f**2 + 4*f + 53. Calculate h(9). 8 Let z(v) = 4*v - 7. Give z(10). 33 Let f(a) = -2*a - 3. What is f(-6)? 9 Let n(w) = -2*w + 5. What is n(5)? -5 Let a(v) = -2*v**2 - 9*v + 12. What is a(-6)? -6 Let c(g) = -g**2 + 5. Determine c(-4). -11 Let p(z)
{ "pile_set_name": "DM Mathematics" }
-4? -2/9 Which is the nearest to 0.1? (a) 181 (b) 2 (c) 3 b Which is the nearest to -0.11? (a) 2 (b) 421 (c) 1 (d) 4 c What is the closest to 0.2 in 3/4, 1, 17? 3/4 What is the closest to 9 in -3, 0.4, 5, -0.2? 5 Which is the nearest to -0.143? (a) 5/4 (b) -1 (c) -5 b What is the closest to -0.5 in 0, -4, 6, 3/2? 0 Which is the nearest to -1? (a) -0.26 (b) -2/3 (c) 2/3 (d) 0.2 b What is the closest to 0.3 in -1, 0.09, 91? 0.09 What is the nearest to -0.1 in 2/49, 0.4, -4.1, 0? 0 What is the nearest to 0.2 in 3, 2, -51? 2 What is the nearest to 0.2 in 0.5, 2/3, -2/15, 2? 0.5 What is the nearest to -11/19 in 0.4, 0.5, -1? -1 Which is the closest to -14? (a) 2 (b) -0.9 (c) -1 (d) -0.5 c What is the nearest to 1/4 in 4, 0, -25? 0 Which is the nearest to 3? (a) -11/2 (b) 1 (c) -1/6 (d) -20 b Which is the nearest to -8/7? (a) 3 (b) 0.1 (c) -0.1 (d) -1/3 d What is the nearest to 1 in -0.1, -1/2, 15/28, 2/3? 2/3 What is the closest to 1 in -1, -0.2, 4, 1/4? 1/4 What is the closest to 5 in -0.4, -0.2, 2/17? 2/17 What is the closest to 0 in 0.4, 2/7, -0.5, -1.04? 2/7 What is the closest to 8 in -2/5, 0.3, 4, -2? 4 Which is the closest to -2? (a) -7 (b) -3 (c) 14 b Which is the closest to -1? (a) 3 (b) -3 (c) -6.4 (d) 4 b Which is the closest to -0.2? (a) -3 (b) -4 (c) 3 (d) -0.03 d Which is the nearest to -2? (a) -3 (b) -0.11 (c) 2/7 (d) -0.4 a What is the nearest to 2/9 in 3, 1, 2/5? 2/5 Which is the closest to 1? (a) 3.696 (b) -0.4 (c) 1/3 c Which is the nearest to 3/5? (a) -4 (b) 9 (c) -5 (d) 2/9 d Which is the closest to -0.5? (a) 3/40 (b) 2 (c) 1/4 a Which is the nearest to -5? (a) 0.5 (b) 2/5 (c) -5 (d) 0 c What is the nearest to 0 in 93/2, -10, 0.1? 0.1 Which is the closest to -1? (a) 1/3 (b) 1/5 (c) 0.4 (d) -3 b What is the closest to 2 in 87/7, 2/7, -5, 4? 2/7 What is the nearest to 1 in -1/6, -1, -8? -1/6 What is the nearest to 1/2 in 1.3, -9, -2/3? 1.3 Which is the nearest to 100? (a) -3 (b) 9 (c) -5/3 b What is the closest to -2/9 in -8, -2, -0.07, -1/2? -0.07 What is the closest to 10 in -2, 1, -0.5, -4? 1 What is the nearest to 5 in 9.4, -2, 0.2? 9.4 What is the nearest to 0.1 in 6, 0, -0.1? 0 Which is the nearest to 0? (a) 10 (b) -32 (c) 2 c Which is the closest to -1/4? (a) 1/4 (b) -4/3 (c) 5 a Which is the nearest to 0.3? (a) -3 (b) -6 (c) 0.02 c Which is the closest to 1? (a) -3/16 (b) 4 (c) 10 (d) -0.3 a Which is the nearest to 3? (a) 12 (b) 5 (c) 0.05 b Which is the nearest to -1? (a) 2/91 (b) 1 (c) -0.2 c What is the closest to 2 in -2/15, 4, -4? 4 Which is the closest to 0.6? (a) -40 (b) -2 (c) -3 b What is the nearest to 1 in -10/3, -5/3, 3/2, 1/3? 3/2 Which is the closest to -24? (a) -2/9 (b) 3/7 (c) -0.1 (d) 0 a Which is the nearest to -1.4? (a) 0.5 (b) 31 (c) 1 a What is the nearest to -0.1 in -2, -3/5, -2/7, 3? -2/7 Which is the closest to -3/5? (a) 3 (b) 0.3 (c) -1/13 (d) 1.7 c Which is the closest to -0.05? (a) -1.8 (b) -2/3 (c) 0.12 c What is the closest to -1/4 in 5, -13/5, -2? -2 Which is the closest to 11? (a) -2 (b) -8 (c) -0.5 (d) 3/4 d What is the nearest to -3 in 0.5, -13, 0.4, -0.1? -0.1 Which is the nearest to 2/11? (a) 1/8 (b) -4 (c) -21 a What is the nearest to 2 in -4, -0.31, 0.5, -2/3? 0.5 What is the nearest to -6 in 0.5, -3, 26/9? -3 Which is the closest to -4? (a) 4 (b) 0.5 (c) -5 (d) 0.3 c What is the nearest to 1/3 in -11, -0.049, 1? -0.049 What is the nearest to 0 in 0, 11, 1.1? 0 What is the nearest to 1.8 in -4, 0.1, -4/7, 2/5? 2/5 What is the closest to 0 in 0.58, -3, -0.04, 4? -0.04 What is the closest to 4 in -1, 0.41, 2? 2 Which is the closest to 1? (a) 0.6 (b) 0.1 (c) -2 a What is the closest to 3 in 0.1, 2, -8, 1? 2 Which is the nearest to -2/5? (a) -17 (b) -1 (c) -4 (d) 5 b What is the closest to 0 in 5, 1/9, -2, 0.7? 1/9 Which is the nearest to -4? (a) -3 (b) 25 (c) 0 (d) 1/7 a What is the nearest to -0.4 in 2/3, -1/4, -3/8? -3/8 What is the nearest to -0.1 in 1/3, 0.1, -1/74, 2? -1/74 What is the closest to -1 in 83, 0.1, 2/7, -2/9? -2/9 What is the closest to -270 in 5, -5, -1/3? -5 Which is the closest to -5/4? (a) 3 (b) 17 (c) -2/3 c Which is the closest to 2? (a) 0.5 (b) 2/11 (c) -4 (d) 14 a What is the closest to 2/15 in 1/5, 0.5, -1/6, 0.1? 0.1 Which is the nearest to -6/11? (a) 3 (b) -3 (c) -0.3 c Which is the closest to -6? (a) -3 (b) -2 (c) 0.05 a What is the nearest to -1 in 4, -3/2, 1, 3? -3/2 What is the nearest to -1 in -0.4, -46, -2/7, -1? -1 What is the nearest to -1 in -1, 2/7, 9/13? -1 What is the closest to -7 in 11, 0.5, 4? 0.5 What is the closest to 2 in -5, 2, -2, 3? 2 What is the nearest to 1/2 in 4, 28, -1/7? -1/7 Which is the closest to 3/2? (a) -5/7 (b) -3/5 (c) 2 c Which is the closest to 346/5? (a) 1/2 (b) 2 (c) 0 b What is the nearest to -1 in 6, -3, -14/3, 2/17? 2/17 Which is the closest to 1/7? (a) -30/7 (b) 2/23 (c) -4 b What is the closest to -0.2 in -147, -3, 1/3? 1/3 Which is the nearest to 5/2? (a) 0.1 (b) -227 (c) -4 (d) 2/5 d Which is the nearest to -4? (a) 0 (b) -2 (c) -0.02 (d) 2/17 b Which is the nearest to -0.2? (a) 1 (b) -26 (c) -3 (d) -0.2 d Which is the nearest to -6? (a) 3/4 (b) -1 (c) 11/5 (d) -6 d What is the closest to -0.2 in -9, -0.3, -15? -0.3 Which is the closest to 0? (a) 0.5 (b) 12.2 (c) 2/3 (d) -5 a Which is the nearest to -2/7? (a) -0.08 (b) 5 (c) -18 (d) 1/2 a Which is the closest to 3/2? (a) -0.1 (b) -1/8 (c) 5 a Which is the closest to 3? (a) 1/4 (b) -3/10 (c) 1/11 (d) 0.4 d What is the closest to 0 in 2, 4/107, 5, -0.4? 4/107 What is the nearest to -1 in -0.3, 2/145, -173? -0.3 Which is the nearest to -4? (a) 23 (b) 4 (c) -3 c What is the nearest to -0.2 in -0.1, -5, 65? -0.1 Which is the nearest to 0? (a) -0.3 (b) 3 (c) -2/99 c Which is the nearest to 54? (a) 0 (b) -0.3 (c) 6 (d) 3/10 c What is the nearest to 0.9 in 59, 2/9, 2, -0.1? 2/9 Which is the nearest to -1? (a) 1 (b) -2/5 (c) 5 (d) 2/15 b Which is the nearest to 0.2? (a) 1 (b) 15 (c) -2/3 (d) 3 a What is the nearest to -0.3 in 0.4, -0.5, 0.3, 9/145? -0.5 What is the closest to -4 in 2/7, -11, 4/7? 2/7 Which is the nearest to -1? (a) 3/2 (b) -4 (c) -5 (d) 4 a Which is the nearest to 0? (a) 0 (b) 1/2 (c) 255 a What is the nearest to -27 in 2, -7, 3/5, 5? -7 Which is the closest to 0? (a) 3 (b) -0.2 (c) -2/11 c Which is the nearest to 1? (a) 2/3 (b) -5 (c) 5 (d) 7/3 a What is the closest to -1 in 0.36, 1, 3, -4? 0.36 Which is the nearest to 2/7? (a) 5 (b) 2/3 (c) 1 b Which is the nearest to 0.0336? (a) -0.5 (b) 5 (c) 1 (d) -1/7 d Which is the closest to -1/4? (a) 2 (b) 3 (c) -8 a Which is the closest to -5? (a) 0.13 (b) -2/3 (c) 2/7 b Which is the closest to -2? (a) 3 (b) -4 (c) -2/63 c Which is the nearest to -0.06? (a) -0.3 (b) -5 (c) -1/3 (d) 0.5 a What is the closest to -1/14 in -2, -3/8, -0.1? -0.1 What is the nearest to 2/5 in -0.8, 0.5, 0.13, -1/21? 0.5 What is the closest to 10/9 in 1/4, 0.2, -1, -12? 1/4 What is the nearest to 3 in -5, 4/3, 10/7? 10/7 What is the closest to 16 in 0.2, -1/4, -4/3? 0.2 Which is the nearest to 2? (a) -4 (b) 0.03 (c) 7 b Which is the closest to -1? (a) 18 (b) 0 (c) -0.027 (d) 0.4 c What is the nearest to 0.09 in -0.4, -2/7, -29, -5? -2/7 Which is the closest to 3/4? (a) 2 (b) 0.3 (c) -1/4 (d) -4/7 b Which is the nearest to 0? (a) -9/4 (b) -2 (c) -2/7 (d) -11 c What is the nearest to 2 in 3/68, 3, 1/3, 0? 3 Which is the closest to 0.1? (a) 6/11 (b) -5 (c) 14/9 a Which is the closest to 0? (a) 2 (b) 0.49 (c) -5 b What is the closest to -1 in -11, -2/5, -4, -1? -1 What is the nearest to 3 in 16, -1/3, -14/9? -1/3 Which is the nearest to -1? (a) 0.02 (b) -4/13 (c) -1 (d) 5 c Which is the nearest to -1? (a) 1/4 (b) 3 (c) 3/5 a What is the closest to -0.3 in -4, 4, 1/3? 1/3 What is the nearest to -2/5 in 4, 5, -0.6, -2/7? -2/7 Which is the nearest to -1? (a) -3/2 (b) -1 (c) -9690 b Which is the closest to 9? (a) 1/3 (b) 1 (c) -7 (d) -1 b Which is the closest to 2/5? (a) 2 (b) -0.5 (c) 1/24 c Which is the nearest to 9? (a) -3 (b) 0.4 (c) -1.2 b What is the nearest to 0.1 in 1, -2/3
{ "pile_set_name": "DM Mathematics" }
ue Is 5911 a prime number? False Is 902927 prime? False Is 18493 prime? True Is 13891 a composite number? True Is 230105 prime? False Is 672743 a prime number? True Is 46261 a prime number? True Is 4507 prime? True Is 46459 a prime number? False Is 140255 prime? False Is 681 composite? True Is 79295 composite? True Is 269959 prime? False Is 59519 a composite number? True Is 9813 a prime number? False Is 991685 a prime number? False Is 4937 a prime number? True Is 803 composite? True Is 385967 a prime number? True Is 3185981 a prime number? True Is 70937 composite? False Is 576151 prime? True Is 300719 a composite number? False Is 18227 a prime number? False Is 22289 a prime number? False Is 863 prime? True Is 14015 a composite number? True Is 145561 prime? False Is 35339 composite? False Is 658079 a composite number? False Is 6385 composite? True Is 1077943 a prime number? True Is 563993 composite? True Is 11003 a prime number? True Is 233059 prime? False Is 4124047 composite? True Is 4595 a prime number? False Is 7781 a composite number? True Is 14591 prime? True Is 579505 a composite number? True Is 9611 prime? False Is 263219 a composite number? True Is 320291 composite? False Is 219053 composite? False Is 7669 a composite number? False Is 6491 prime? True Is 379369 prime? True Is 4213 composite? True Is 637553 a composite number? True Is 527429 composite? True Is 1457695 a prime number? False Is 188603 a prime number? True Is 278927 prime? False Is 2998 a composite number? True Is 810763 a prime number? True Is 771 a prime number? False Is 34315 a composite number? True Is 7934 a prime number? False Is 180161 a prime number? True Is 492227 prime? True Is 693569 a prime number? True Is 5053 a prime number? False Is 52661 prime? False Is 4444931 a prime number? False Is 7737 prime? False Is 30263 composite? True Is 92743 a prime number? False Is 30421 prime? False Is 25013 a composite number? False Is 116183 prime? False Is 40231 prime? True Is 31 a prime number? True Is 117389 a composite number? False Is 35213 a composite number? True Is 737 a prime number? False Is 26177 composite? False Is 20263 a prime number? False Is 22798 a prime number? False Is 16963 prime? True Is 681479 a prime number? False Is 8129 composite? True Is 101081 a composite number? False Is 10393 a prime number? False Is 544933 a composite number? True Is 142673 a prime number? True Is 55 composite? True Is 179149 composite? True Is 21623 a composite number? True Is 26431 a composite number? False Is 304957 composite? True Is 41773 prime? False Is 51089 composite? True Is 12511 composite? False Is 2503 prime? True Is 60179 a composite number? True Is 33377 a composite number? False Is 77899 a composite number? False Is 12071 prime? True Is 2102 a prime number? False Is 97283 prime? True Is 841109 a prime number? False Is 224797 composite? False Is 82343 prime? False Is 2262217 prime? False Is 41351 composite? False Is 265381 a composite number? False Is 39505 composite? True Is 38495 a prime number? False Is 208133 a prime number? False Is 9091 a composite number? False Is 1641 prime? False Is 57751 a composite number? False Is 6163 prime? True Is 57163 prime? True Is 18169 composite? False Is 916493 a composite number? True Is 937 composite? False Is 35609 composite? True Is 287291 composite? False Is 248363 a composite number? True Is 11777 a composite number? False Is 11851 a prime number? False Is 29041 composite? True Is 124181 prime? True Is 4943 a composite number? False Is 457285 a composite number? True Is 3288997 a prime number? True Is 5471 a prime number? True Is 1219237 a composite number? False Is 17497 a prime number? True Is 26417 prime? True Is 11981 a prime number? True Is 649 prime? False Is 8417 prime? False Is 143413 prime? True Is 1754 a prime number? False Is 5639 composite? False Is 302983 composite? False Is 653149 prime? False Is 416797 a prime number? True Is 3127 prime? False Is 12603 a prime number? False Is 19735 a prime number? False Is 33869 a prime number? False Is 30959 a prime number? False Is 2326133 a composite number? False Is 294707 composite? True Is 313081 a composite number? False Is 6521 a composite number? False Is 932845 a prime number? False Is 18341 prime? True Is 199997 a prime number? False Is 388519 prime? True Is 10499 composite? False Is 25931 a composite number? False Is 7409 composite? True Is 211769 composite? True Is 1215299 prime? True Is 14369 prime? True Is 8999 composite? False Is 760573 prime? False Is 11633 a prime number? True Is 1079 composite? True Is 308297 a prime number? False Is 14699 a prime number? True Is 9199 a composite number? False Is 14441 a composite number? True Is 117641 a composite number? True Is 11113 prime? True Is 14609 a prime number? False Is 2503 composite? False Is 10561 a prime number? False Is 5147 composite? False Is 3989 prime? True Is 652081 composite? False Is 274 a composite number? True Is 4703 a prime number? True Is 7897 a prime number? False Is 7807 a composite number? True Is 9977 a composite number? True Is 341263 a composite number? True Is 516959 prime? True Is 12227 prime? True Is 3709 a prime number? True Is 1931 prime? True Is 1473 a composite number? True Is 333083 prime? False Is 108787 a composite number? True Is 65167 a prime number? True Is 86923 prime? True Is 437371 prime? False Is 31133 prime? False Is 3427 composite? True Is 28129 composite? True Is 66301 composite? False Is 35671 composite? False Is 219721 composite? False Is 2777 prime? True Is 22405 composite? True Is 92913 prime? False Is 112481 a prime number? True Is 1799 a composite number? True Is 29461 prime? False Is 276209 prime? True Is 73637 prime? True Is 23399 a composite number? False Is 51941 prime? True Is 427051 prime? False Is 149489 composite? False Is 232181 composite? True Is 314159 a composite number? False Is 33895 prime? False Is 117617 a prime number? True Is 552889 prime? False Is 7726 prime? False Is 79531 a prime number? True Is 144679 prime? False Is 98047 prime? True Is 13063 composite? False Is 42481 prime? False Is 7003 prime? False Is 41381 composite? False Is 813407 prime? False Is 58759 a composite number? True Is 73031 a composite number? True Is 485593 a composite number? False Is 516595 a prime number? False Is 299311 composite? False Is 8263 a prime number? True Is 229997 a composite number? True Is 496021 composite? True Is 31367 composite? True Is 207139 composite? False Is 13646 a composite number? True Is 82519 a composite number? True Is 3238 composite? True Is 125527 a prime number? True Is 45706 a prime number? False Is 50989 prime? True Is 576253 composite? True Is 123323 a composite number? False Is 333377 prime? False Is 68473 a prime number? True Is 44351 a prime number? True Is 7367 composite? True Is 119065 a composite number? True Is 9923 a prime number? True Is 1601 prime? True Is 993679 a prime number? True Is 277961 composite? False Is 29893 a prime number? False Is 1381 prime? True Is 261577 composite? False Is 19777 a prime number? True Is 188926 composite? True Is 3194 prime? False Is 31989 prime? False Is 12881 a composite number? True Is 69539 a composite number? False Is 5383 a composite number? True Is 87179 a prime number? True Is 55087 composite? True Is 108457 composite? False Is 10911 a composite number? True Is 2990245 a prime number? False Is 3629 prime? False Is 2116793 a prime number? False Is 12239 a composite number? False Is 28387 prime? True Is 54751 composite? False Is 304697 a composite number? True Is 13997 composite? False Is 15935 prime? False Is 706773 a prime number? False Is 3163 composite? False Is 23207 a prime number? False Is 72041 a prime number? False Is 22961 composite? False Is 902173 prime? False Is 57581 a prime number? False Is 1117321 a composite number? False Is 549001 a prime number? True Is 141261 a composite number? True Is 3607 prime? True Is 3433 a prime number? True Is 87182 a composite number? True Is 90109 a prime number? False Is 137567 composite? False Is 149539 composite? True Is 8261 composite? True Is 77797 a prime number? True Is 65287 prime? True Is 111143 a composite number? False Is 59
{ "pile_set_name": "DM Mathematics" }
3) + -1 + 1)**2*-6. -2208 - 420*sqrt(7) Simplify (sqrt(700) + (sqrt(700) - (-2 + sqrt(700)))*4 + -2 + (sqrt(56) - sqrt(224)/sqrt(4))/(sqrt(32)*2) + 2)**2. 160*sqrt(7) + 764 Simplify ((sqrt(216)/(sqrt(60)/sqrt(5)))/sqrt(6))**2*4 + ((-5*(sqrt(243) + 1 - sqrt(243)) + sqrt(243))*-3)**2. -810*sqrt(3) + 2424 Simplify (5*(sqrt(135)/(sqrt(3) - sqrt(48)) + -1 + (-1 + sqrt(405))*4))**2. -8750*sqrt(5) + 153750 Simplify (-4*2*sqrt(84) + sqrt(84) + sqrt(84)*-1*-3)/(sqrt(75)*-5*5). 8*sqrt(7)/125 Simplify (1*-4*2*(sqrt(133)*-2 + sqrt(133)))/((sqrt(1701)*-2)/(-2*sqrt(3)*-6)). -16*sqrt(19)/3 Simplify (1*sqrt(36)*-4)/(-2*sqrt(588)) + -3 + (sqrt(48)/sqrt(32) + sqrt(6))/((sqrt(66)/sqrt(3))/sqrt(11)) + 5. 2 + 25*sqrt(3)/14 Simplify ((4*sqrt(114)*-2 - sqrt(114)) + 4*sqrt(114)*2)/(6*(2*sqrt(6)*-2 - sqrt(96)/sqrt(4))). sqrt(19)/36 Simplify -1*2*(((1 + sqrt(300))*1 - 4*sqrt(300)*-1) + ((2*sqrt(300) - sqrt(300))*-2 - (5 + (sqrt(300) - -1*sqrt(300)) - sqrt(300) - sqrt(300))))**2. -5432 + 480*sqrt(3) Simplify 3 + -5*(-3 + (sqrt(154)/sqrt(63))/(sqrt(44)/(sqrt(64) + sqrt(4))))*6. -50*sqrt(2) + 93 Simplify (sqrt(90) + (sqrt(90) - 1*sqrt(90))*3 + -6*(sqrt(90)*3 - sqrt(90)))/((-6*2*sqrt(10))/(2*(sqrt(2) + sqrt(6)/sqrt(3)))). 11*sqrt(2) Simplify ((-2*sqrt(28)*1)/(sqrt(14)/(sqrt(7) + sqrt(112))))/(5*sqrt(32) - (sqrt(2) - (sqrt(8) + sqrt(2))*3))*-3. 15*sqrt(7)/14 Simplify 1 + 6*(4 + ((sqrt(6897) + (sqrt(6897) - sqrt(6897)*-1))*-3 - sqrt(6897))/(5*sqrt(48)))**2. -264*sqrt(19) + 7091/2 Simplify (-3*(-3 + 2*sqrt(72) + 2) + (sqrt(72) + -3*(sqrt(72) + sqrt(72)*1) + sqrt(72))*-4*5)**2. 2664*sqrt(2) + 394281 Simplify -2 + 2*sqrt(125) + -5 + 5*(sqrt(5) + sqrt(45)) - (1 + (5*sqrt(135))/(2*sqrt(75))). -8 + 57*sqrt(5)/2 Simplify ((4 + (1 + -1 + sqrt(343) - sqrt(343)))*2)**2 - (-2 + 0 + (sqrt(343) + 2)*-6)**2. -12480 - 1176*sqrt(7) Simplify -1*((2*sqrt(171) + sqrt(171))*-3*-1)/(-5*1*sqrt(36))*3 + 1. 1 + 27*sqrt(19)/10 Simplify (4*((sqrt(756) - sqrt(756)*3*-1 - sqrt(756)) + sqrt(756))/(sqrt(3388)*3))**2. 768/121 Simplify (sqrt(396)/((sqrt(11) - (sqrt(121) + 2*sqrt(121))/sqrt(11)) + sqrt(11) - sqrt(11))*-3)/(-4*sqrt(132)/(2*sqrt(11))*4). -3*sqrt(3)/16 Simplify (4 + ((-1*sqrt(143) + sqrt(143))*2 - sqrt(143)*-2*1)/((sqrt(77)*-1*5)/sqrt(7)))**2. -16*sqrt(13)/5 + 452/25 Simplify (0 + sqrt(11) + 2 - (2 + sqrt(11) + -3)**2) + 5 - ((-4 + sqrt(396) - 2*sqrt(11)*1) + -3)**2. -230 + 59*sqrt(11) Simplify (4*(-4*sqrt(152)*-2 - (sqrt(152) - 1*sqrt(152) - sqrt(152))*-5))/(1*(2*sqrt(512) - (1*sqrt(200) - sqrt(8) - sqrt(8)))). 12*sqrt(19)/13 Simplify sqrt(10)/(sqrt(5)*-1*-6) + (sqrt(10)/(sqrt(40)/(-1*sqrt(8))))**2 + 1 + ((1 + sqrt(200))*1 + (0 + sqrt(200))*2)**2. 361*sqrt(2)/6 + 1804 Simplify 6*(sqrt(32) + 1 + -5) - -6*-2*(sqrt(8) + 3). -60 Simplify (sqrt(208) + 2 + sqrt(13))**2 + -5 + sqrt(117) - (sqrt(104) - (sqrt(104) + (sqrt(104)*2 - sqrt(104)))*1)/(sqrt(72)*2). 139*sqrt(13)/6 + 324 Simplify (-4 + sqrt(200) + 5 + 2)**2 + 4*((sqrt(36)/sqrt(9))/sqrt(2) + 1). 64*sqrt(2) + 213 Simplify -6*-1*((-4 + (-3*sqrt(2736))**2 - sqrt(2736) - (sqrt(2736) + -1*sqrt(2736) + sqrt(2736) + sqrt(2736) + -3)**2) + 5) + 5. 792*sqrt(19) + 82037 Simplify (-2*(sqrt(110) - (sqrt(110) + -5*3*sqrt(110)))*-4)/(6*(sqrt(360) + (sqrt(360)*-2 - sqrt(360)) - sqrt(360))*5). -2*sqrt(11)/9 Simplify (-4 + (1 + sqrt(363) + sqrt(363))**2 - (sqrt(363) + (sqrt(363) + -2)*-4)**2) + (3*4*1*sqrt(300) + 0)**2. 572*sqrt(3) + 41318 Simplify (2*sqrt(100) - -3*sqrt(400))/(sqrt(10)/(sqrt(2) - (sqrt(14)*2)/sqrt(7))) + -5. -16*sqrt(5) - 5 Simplify 2*(-5 + ((sqrt(448) + -3 + sqrt(448))**2 + 0 - 6*(sqrt(448)*-1)**2)*-2). 384*sqrt(7) + 3538 Simplify 5*(((sqrt(405) + 2)*6 + (sqrt(405) + sqrt(405) + -3 + sqrt(405) - sqrt(405))*6)*-5)**2*-6. -98442000 + 1458000*sqrt(5) Simplify ((sqrt(272) - (sqrt(272) + -2*-1*sqrt(272)))/(-2*sqrt(1152)))/(3*sqrt(288) - (sqrt(2) - (sqrt(2450) - sqrt(2)))). sqrt(17)/828 Simplify 1*((sqrt(56) - (sqrt(5600) - sqrt(5600)*-1)) + ((sqrt(560) - (1*sqrt(560) + sqrt(560)))/sqrt(10) - sqrt(56)))/(-2*(3*sqrt(288) + sqrt(288))). 7*sqrt(7)/16 Simplify 5*(1 + sqrt(2) + -3 + sqrt(2) + -3 + -4*(sqrt(98)*3)**2)*4. -70660 + 40*sqrt(2) Simplify (-6*sqrt(2299)*2*-3 + -1 - ((-3*sqrt(2299) + sqrt(2299) + sqrt(2299) - sqrt(2299))*3 + sqrt(2299) + sqrt(2299) + 1 + 5))**2. -6160*sqrt(19) + 3678449 Simplify sqrt(1008) + (3 + sqrt(1008)*-2)**2 - (-1 + sqrt(1008))*5 - (-1*sqrt(28)*-1 - sqrt(28))/(sqrt(4) + sqrt(4) + -5*(sqrt(4) + sqrt(12)/sqrt(3))). -192*sqrt(7) + 4046 Simplify -4*(-6*(3 + (-2 + (1*sqrt(2057) + sqrt(2057))**2 - (5*(sqrt(2057)*2)**2 - sqrt(2057)))) + -2)*-6. -1584*sqrt(17) + 4739136 Simplify ((sqrt(110) - (sqrt(110)*-4 - sqrt(110) - sqrt(110))*1) + (1*sqrt(110)*-4 - sqrt(110)) + sqrt(110))/((-6*1*sqrt(90))/sqrt(9)*-2). sqrt(11)/4 Simplify (-4 + (-6*6*(2*sqrt(171))**2 - -4*(-4 + 0 + sqrt(171)))*-4)*-5. -492780 + 240*sqrt(19) Simplify 0 + 3*((sqrt(891)*1 + 3 + sqrt(891))*2 - (1*sqrt(891) + -3 - (-2*sqrt(891) + -3)))**2. 324*sqrt(11) + 2781 Simplify (4 + sqrt(1800)*-1 + 3*(sqrt(1800) + 1 + sqrt(1800)))**2 - (1 + (0 + sqrt(1800) + -1 - (sqrt(1800) + (-6*(1 + sqrt(1800)) - sqrt(1800))))**2). -43177 Simplify (4*(sqrt(3520)*-3*6 - sqrt(3520)))/(sqrt(80)*-1 - sqrt(405)*1). 608*sqrt(11)/13 Simplify (-1*sqrt(1274)*1*-3)/((sqrt(24) - (sqrt(24) - sqrt(264)/(sqrt(44)/sqrt(4))))/(sqrt(12) + (sqrt(12) + sqrt(108))*-5)). -399*sqrt(13) Simplify ((-1*sqrt(1617) - sqrt(33)) + sqrt(231)/(sqrt(7) + sqrt(35)/sqrt(5)))/((sqrt(18)/sqrt(2)*-3)/(2*sqrt(192) - sqrt(192))). 20*sqrt(11) Simplify -2*-6*(4*(0 + sqrt(108) + 5)*-4)**2. 184320*sqrt(3) + 408576 Simplify ((sqrt(168)/sqrt(4))/sqrt(3) - sqrt(14))/(sqrt(567)*1) + (2*sqrt(98) + -1)*2 + -4. -6 + 28*sqrt(2) Simplify (((sqrt(68) - 1*sqrt(68)*6) + (-4*(sqrt(68) - sqrt(68)*-1) - sqrt(68)))*-4)/(5*-2*sqrt(196) - (sqrt(196)*-2*-4 - sqrt(196))). -8*sqrt(17)/17 Simplify 2 + sqrt(76)/(-2*sqrt(4)) + (sqrt(19) + sqrt(38)/(sqrt(2)*-1))**2 + -5 + ((sqrt(1216)*1 + sqrt(1216) - sqrt(1216)) + 3)**2 + -1. 95*sqrt(19)/2 + 1221 Simplify 4*(-5*((-2*sqrt(175)*5*2)**2 - ((-1 + sqrt(175) + 3)**2 + -1)) + -2). -1396448 + 400*sqrt(7) Simplify 1*(-1 + -5 + (-5 + sqrt(14)/sqrt(2)*-1 + 5 + sqrt(7) + 1 + sqrt(7))*-5) + -4. -15 - 5*sqrt(7) Simplify (0 + (sqrt(117) - (sqrt(117) + 6*sqrt(117)*-4)) - ((sqrt(13) - -4*sqrt(637)) + sqrt(13) + 2)*5)**2. 1560*sqrt(13) + 79192 Simplify -5*(0 + ((sqrt(112) + 0)*-4 + -3)**2*6)*3*3. -486270 - 25920*sqrt(7) Simplify ((sqrt(68) - (5*(sqrt(68) + (sqrt(68) + 1 - sqrt(68))))**2)*-1 - 6*((sqrt(68) + sqrt(68) + 1*sqrt(68))*4)/sqrt(4)) + 0. 26*sqrt(17) + 1725 Simplify (sqrt(28)/(sqrt(16)/sqrt(4)) - (sqrt(175) + 1))**2 + -2 - (((sqrt(1008) + 2 + sqrt(1008))*6)**2 + sqrt(1008) + 1). -145186 - 3460*sqrt(7) Simplify ((sqrt(325) + -1*sqrt(325) + -3)*-6 - (sqrt(325)*2 + 2 - 4*(sqrt(325) - (-2 + sqrt(325)))))**2 + -4. -480*sqrt(13) + 1872 Simplify -1*((sqrt(288) + 6*-2*sqrt(288) - -3*sqrt(288)*5) + (1 + sqrt(288))*-6 + sqrt(288) + (sqrt(288) + -2*sqrt(288) + 1)**2). -283 + 36*sqrt(2) Simplify 4*((sqrt(216)*2 - sqrt(6))*1)/(sqrt(30)/((sqrt(120) - sqrt(120)*2)/sqrt(12)))*4. -176*sqrt(2) Simplify (-4*(sqrt(675) + (-3*sqrt(675)*-1 - sqrt(675))))**2 + (sqrt(48)/sqrt(4) + sqrt(6)/sqrt(2) + -4 + (-2*sqrt(243) - sqrt(243))/sqrt(9))**2. 48*sqrt(3) + 97324 Simplify (sqrt(171) + (2*(sqrt(171) + 2*sqrt(171)) - sqrt(171)) + -1*(sqrt(171) + sqrt(171)*-1 - sqrt(171)))/(sqrt(99)/(sqrt(44)/sqrt(4)*2)*-2). -7*sqrt(19) Simplify (sqrt(252) + sqrt(252)*1 + 2 - (sqrt(252) - (0 + sqrt(252)*1)))**2*4 + 4 + (5 + sqrt(252) + 0 + ((sqrt(252)*-2 - sqrt(252)) + sqrt(252) + -4)**2)*4*-5. -16528 - 1848*sqrt(7) Simplify (((sqrt(3) - sqrt(48))*-3 - sqrt(3)) + 2)*-1 - (-5 + ((-2 + sqrt(3) + sqrt(3))*6)**2 + 5). -578 + 280*sqrt(3) Simplify (-1*(2*((sqrt(1008)*-2*6 + -4 + 2 + sqrt(1008))*-6 + -3) + 3))**2. 66528*sqrt(7) + 17563833 Simplify 1 + 0 + (2*(3 + -3*(sqrt(720) + sqrt(720) + 2)))**2. 1728*sqrt(5) + 103717 Simplify (6*(2 + sqrt(1584)*2 - (-2 + 2*sqrt(1584))))**2 + 4 + -2*sqrt(1584) + sqrt(1584) + -5 + -2*sqrt(1584). -36*sqrt(11) + 575 Simplify (-3*((sqrt(162) + sqrt(162) + (sqrt(162)*-1 - sqrt(162)) + 1 - sqrt(162)) + (-2*sqrt(162)*2 + sqrt(162) + sqrt(162))**2) + -2)*5 + 3. -9742 + 135*sqrt(2) Simplify ((3*(0 + sqrt(432) + sqrt(432) + sqrt(432
{ "pile_set_name": "DM Mathematics" }
y: 3}? 1/255 Calculate prob of picking 1 u, 1 w, and 1 h when three letters picked without replacement from {i: 2, h: 7, n: 3, u: 3, w: 2, j: 1}. 7/136 What is prob of picking 2 d and 1 m when three letters picked without replacement from {p: 3, c: 3, m: 3, d: 2, i: 3}? 3/364 Three letters picked without replacement from gupnjugjpppppjjup. Give prob of picking 1 n and 2 g. 1/680 Two letters picked without replacement from qkktwqkkak. Give prob of picking 1 t and 1 q. 2/45 Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {j: 2, l: 1, v: 2}. 1/10 Calculate prob of picking 1 q, 1 r, and 2 u when four letters picked without replacement from {r: 2, t: 6, u: 4, b: 2, g: 1, q: 3}. 1/85 Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {k: 7, y: 1, c: 3, j: 2, g: 7}. 21/190 Calculate prob of picking 1 m, 1 p, and 2 y when four letters picked without replacement from {r: 1, w: 1, y: 8, m: 4, c: 1, p: 1}. 4/65 What is prob of picking 1 u and 1 h when two letters picked without replacement from {u: 1, h: 2, j: 1, e: 1}? 1/5 Two letters picked without replacement from jgjppppfpgnjpjpjnn. Give prob of picking 1 n and 1 g. 2/51 What is prob of picking 3 l and 1 a when four letters picked without replacement from {a: 4, l: 7}? 14/33 Calculate prob of picking 2 w when two letters picked without replacement from cccaawwwc. 1/12 Two letters picked without replacement from dddjqdyydyyddyjqjjd. Give prob of picking 2 j. 2/57 Calculate prob of picking 2 v when two letters picked without replacement from vwyyvvv. 2/7 Calculate prob of picking 2 o and 2 i when four letters picked without replacement from {i: 2, o: 4, b: 4, q: 4}. 6/1001 Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {c: 1, b: 1, i: 4, v: 1, u: 5}. 5/66 Four letters picked without replacement from {j: 4, i: 1, z: 2, l: 9}. What is prob of picking 2 j and 2 l? 54/455 Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {d: 5, n: 1, g: 4, o: 1, c: 1, i: 1}. 1/78 Three letters picked without replacement from {r: 1, h: 1, p: 4, y: 6, x: 4, t: 3}. What is prob of picking 1 h, 1 t, and 1 y? 6/323 Calculate prob of picking 3 x and 1 u when four letters picked without replacement from {x: 6, r: 7, e: 2, y: 3, u: 1}. 5/969 Calculate prob of picking 2 k and 1 a when three letters picked without replacement from {a: 18, k: 2}. 3/190 Three letters picked without replacement from {h: 2, q: 1, d: 1, o: 1, r: 2}. What is prob of picking 1 h and 2 r? 2/35 What is prob of picking 1 h and 1 l when two letters picked without replacement from {l: 1, h: 1, f: 7, o: 7}? 1/120 Two letters picked without replacement from {x: 6}. What is prob of picking 2 x? 1 Calculate prob of picking 1 p and 1 m when two letters picked without replacement from prmmpprmrrm. 12/55 Two letters picked without replacement from oworh. What is prob of picking 2 o? 1/10 What is prob of picking 1 t and 2 m when three letters picked without replacement from {y: 1, f: 4, t: 1, m: 3, g: 4}? 3/286 Four letters picked without replacement from {v: 2, x: 1, u: 2, w: 3, j: 2, r: 10}. What is prob of picking 1 u, 2 v, and 1 x? 2/4845 Calculate prob of picking 2 x when two letters picked without replacement from xxx. 1 Two letters picked without replacement from {u: 2, i: 1, g: 2, m: 1}. Give prob of picking 1 g and 1 m. 2/15 Three letters picked without replacement from {c: 3, d: 2, p: 3, m: 1, n: 3, l: 3}. What is prob of picking 1 n, 1 l, and 1 d? 18/455 Calculate prob of picking 1 o, 1 j, and 1 l when three letters picked without replacement from {j: 5, f: 2, o: 2, u: 2, a: 2, l: 5}. 25/408 Calculate prob of picking 1 v and 1 w when two letters picked without replacement from wva. 1/3 Four letters picked without replacement from owwwoowwoowwoo. What is prob of picking 4 w? 5/143 Two letters picked without replacement from gjeegjeegjg. What is prob of picking 1 j and 1 e? 12/55 Two letters picked without replacement from ffn. Give prob of picking 1 f and 1 n. 2/3 Two letters picked without replacement from {s: 2, h: 1, l: 4}. Give prob of picking 2 s. 1/21 Two letters picked without replacement from uuuuuinuu. What is prob of picking 1 n and 1 i? 1/36 Four letters picked without replacement from qcdqpqqpy. What is prob of picking 1 c, 2 q, and 1 p? 2/21 Three letters picked without replacement from ssqgdstsssgsstgsas. What is prob of picking 1 s, 1 d, and 1 t? 5/204 Four letters picked without replacement from oraoioloiolaaiaa. Give prob of picking 4 a. 1/364 Two letters picked without replacement from {o: 2, q: 2, f: 4}. Give prob of picking 1 o and 1 f. 2/7 Four letters picked without replacement from gxgxgxgggxggxxggxxxx. Give prob of picking 2 x and 2 g. 135/323 Four letters picked without replacement from ihhfehinfxfxixin. What is prob of picking 1 n, 1 x, 1 h, and 1 i? 18/455 What is prob of picking 1 n and 1 s when two letters picked without replacement from nnnsnnnnns? 16/45 Two letters picked without replacement from ooyyooo. Give prob of picking 2 y. 1/21 What is prob of picking 1 j and 1 q when two letters picked without replacement from sqjfqssqsf? 1/15 What is prob of picking 1 s, 1 u, and 1 b when three letters picked without replacement from spbuu? 1/5 What is prob of picking 2 b when two letters picked without replacement from {b: 4}? 1 Four letters picked without replacement from {v: 7, x: 7}. Give prob of picking 3 v and 1 x. 35/143 Two letters picked without replacement from {y: 2, z: 4, a: 1}. What is prob of picking 2 y? 1/21 Three letters picked without replacement from {b: 2, x: 2, j: 1, a: 1}. Give prob of picking 1 a, 1 x, and 1 j. 1/10 Calculate prob of picking 2 b, 1 t, and 1 e when four letters picked without replacement from ttttwbetbtetwtwbtt. 1/51 Calculate prob of picking 3 d when three letters picked without replacement from {a: 1, y: 1, b: 5, m: 2, d: 3, x: 1}. 1/286 What is prob of picking 2 f when two letters picked without replacement from {m: 3, f: 4}? 2/7 What is prob of picking 1 w and 2 c when three letters picked without replacement from fwmfwwcwwcwffwwcww? 5/136 Three letters picked without replacement from vcddbyddyxvb. Give prob of picking 1 d, 1 c, and 1 v. 2/55 What is prob of picking 1 d and 2 w when three letters picked without replacement from iwtdttwiwwdwd? 15/143 Three letters picked without replacement from nnznnnnnznnn. Give prob of picking 2 n and 1 z. 9/22 Calculate prob of picking 1 y and 2 t when three letters picked without replacement from {e: 4, t: 5, y: 2}. 4/33 Two letters picked without replacement from xkezlazazkaezaz. What is prob of picking 2 a? 2/35 Three letters picked without replacement from {y: 4, n: 10, b: 2}. What is prob of picking 1 y and 2 b? 1/140 Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {d: 1, l: 5, t: 1, s: 1, a: 1}. 1/36 Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {a: 6, h: 4, n: 1, q: 2, l: 2}. 2/105 What is prob of picking 1 o and 1 u when two letters picked without replacement from {o: 2, l: 1, u: 8, q: 1, d: 1, w: 2}? 16/105 Two letters picked without replacement from {n: 1, d: 1, y: 1}. Give prob of picking 1 y and 1 d. 1/3 Four letters picked without replacement from {b: 7, y: 4}. Give prob of picking 4 y. 1/330 Calculate prob of picking 3 k when three letters picked without replacement from {o: 3, k: 4, j: 1}. 1/14 Calculate prob of picking 4 n when four letters picked without replacement from {e: 6, n: 8, h: 1, d: 1}. 1/26 Two letters picked without replacement from jrcscjckc. What is prob of picking 1 r and 1 s? 1/36 Two letters picked without replacement from {w: 1, s: 1, x: 2, p: 1, l: 1, a: 1}. What is prob of picking 1 p and 1 w? 1/21 Four letters picked without replacement from beeeeseiciie. What is prob of picking 2 e, 1 c, and 1 b? 1/33 What is prob of picking 1 i, 1 x, and 1 e when three letters picked without replacement from vvvxvveeivexxvvviv? 3/136 What is prob of picking 1 j and 3 g when four letters picked without replacement from jgjjgjgggg? 8/21 Calculate prob of picking 2 h when two letters picked without rep
{ "pile_set_name": "DM Mathematics" }
. Determine p(u(q)). 10*q Let q(c) = 2503*c**2. Let p(u) = 6*u. Calculate q(p(j)). 90108*j**2 Let l(f) = 7*f**2 + 6. Let n(x) = -18*x. Calculate l(n(g)). 2268*g**2 + 6 Let q(i) = 2*i. Let d(p) = 5*p**2 - 82*p. Give d(q(s)). 20*s**2 - 164*s Let y(m) = 5*m**2 + 4*m. Let v(r) = -r**2 - r. Let s(f) = -4*v(f) - y(f). Let t(n) = -2*n. Determine s(t(k)). -4*k**2 Let c(b) = b. Let f = 7 + -2. Let s(d) = 1. Let t(z) = -z - 5. Let r(k) = f*s(k) + t(k). Give c(r(h)). -h Let f(b) = -b**2. Let w(t) = 11*t - 11*t - 32*t**2 + 27*t**2. What is f(w(c))? -25*c**4 Suppose 0 = -u + 2*f - 5, 4*u + 0*f - f = 15. Let p(n) = 1 - u + 4 + 2*n. Let r(k) = -2*k**2. Give r(p(w)). -8*w**2 Let b(w) = 1498*w**2. Let u(s) = -3*s. Calculate b(u(t)). 13482*t**2 Let u(l) be the second derivative of 7*l**3/6 + 3*l. Let b(p) = 6*p + 8*p + 6*p. Let c(t) = 3*b(t) - 8*u(t). Let j(k) = -k**2. Calculate c(j(m)). -4*m**2 Let q(n) = 3*n**2. Let j(d) = 625*d + 1. Give q(j(l)). 1171875*l**2 + 3750*l + 3 Let u(j) = 2*j. Let l(p) = -89*p**2. What is l(u(w))? -356*w**2 Let k(q) = 18*q**2 + 16*q. Let d(l) = -l**2 - l. Let a(m) = -48*d(m) - 3*k(m). Let s(u) = 3*u**2. Give a(s(j)). -54*j**4 Let x(m) = -53*m**2 - 1. Let z(y) = 102*y**2. What is x(z(n))? -551412*n**4 - 1 Let z(x) = 5*x**2. Let g(k) = -16*k**2 + 9*k**2 + 5*k**2. Give z(g(c)). 20*c**4 Let c(l) = 2*l**2 - l**2 - 3*l**2. Let o(i) = -2*i. Let u(y) = -5*y. Let h(z) = 13*o(z) - 6*u(z). Determine c(h(w)). -32*w**2 Let k(a) be the second derivative of 5*a**4/12 - 20*a. Let x(o) = 19*o. Calculate x(k(b)). 95*b**2 Let b = 1 - 1. Let c(h) = b*h + 3*h - h. Let g(j) = 3*j + 2 - 2. Calculate g(c(l)). 6*l Let z(m) be the first derivative of -m**2/2 - 8. Let u(r) = 5*r**2. Give z(u(q)). -5*q**2 Let s(c) = -5*c**2 - 12. Let y(w) = -19*w. Calculate s(y(p)). -1805*p**2 - 12 Let h(y) be the third derivative of 0 + 8*y**2 + 0*y**3 - 1/4*y**4 + 0*y. Let f(c) = -c**2. Give h(f(v)). 6*v**2 Let a(u) = -2*u**2. Let g(x) be the third derivative of x**6/120 - x**3/3 + x**2. Let p(k) be the first derivative of g(k). Determine a(p(l)). -18*l**4 Let z(v) = -2*v. Let f be 4/(-16) + 22/(-8) + 3. Let i(d) be the first derivative of 3/2*d**2 + f*d + 1. Calculate i(z(c)). -6*c Let i(n) be the second derivative of n**4/12 + 12*n. Let m(s) be the third derivative of 2*s**2 - 1/4*s**4 + 0 + 0*s + 0*s**3. Give i(m(t)). 36*t**2 Let x(b) be the first derivative of -7*b**3/3 - 4. Let m(y) = 2*y. Give x(m(g)). -28*g**2 Let v(x) = 5*x. Let w(k) = 14*k**2. Give w(v(c)). 350*c**2 Let z(l) = 42*l. Let y(n) = 8*n. Determine z(y(q)). 336*q Let i(f) = f**2. Let q(a) = -1 + 27*a + 7 + 3. Let m(n) = 13*n + 4. Let s(g) = -9*m(g) + 4*q(g). Give i(s(x)). 81*x**2 Let o(k) = k**2. Let n(b) = b - 94. Calculate o(n(y)). y**2 - 188*y + 8836 Suppose -2*w = -w + 2, -3*f = -3*w - 6. Let v(u) = f*u + u - 3*u - u. Let h(s) = 2*s**2. Calculate v(h(z)). -6*z**2 Let x(j) = -7*j. Let k(o) = 15*o**2 - 5. Give x(k(y)). -105*y**2 + 35 Suppose -m = -33 + 20. Let c(v) = 5*v - m*v - 4*v. Let i(u) = -u. What is c(i(g))? 12*g Let a(o) = -14*o + 15*o + o. Let c(i) = 6*i**2 + i**2 - 3*i**2. Give c(a(m)). 16*m**2 Let p(v) = -2*v. Let u(y) be the first derivative of 7*y**4/12 + y**2/2 - 4. Let z(b) be the second derivative of u(b). Determine p(z(r)). -28*r Let j(w) = -4*w. Suppose -g + 4 = 3, 2 = s + 2*g. Suppose -v - 3*v = s. Let q(m) = v + 0 - m**2. What is j(q(t))? 4*t**2 Let k(d) = -10*d. Let q(i) be the first derivative of i**5/30 + 5*i**2/2 - 9. Let g(a) be the second derivative of q(a). Determine g(k(c)). 200*c**2 Let r(z) = z**2 - 6*z. Let v(g) be the third derivative of g**4/24 - 5*g**2. Let o(j) = r(j) + 6*v(j). Let y(n) = 7*n. Give y(o(c)). 7*c**2 Let z(s) = -3*s + 3*s + 3*s. Let x(l) be the first derivative of l**2/2 - 3. What is z(x(a))? 3*a Let h(p) be the second derivative of -p**4/12 + 3*p. Let i(f) = 90*f**2. Give i(h(l)). 90*l**4 Let i(f) = -f**3 + 3*f**2 - 2. Let n be 2/(-3)*(-5 + 2). Let b be i(n). Let a(c) = -2*c**b + 2*c**2 + c**2 - 4*c**2. Let y(h) = -3*h**2. Give y(a(u)). -27*u**4 Let a(t) = 2*t**2 - t**2 - 2*t**2. Let o(u) be the third derivative of -1/60*u**5 + 0*u**4 + 0*u + 2*u**2 + 0 + 0*u**3. Determine a(o(r)). -r**4 Let o(n) be the second derivative of 2*n**3/3 + 36*n - 2. Let v(h) = -5*h**2 + 4*h**2 + 3*h**2. What is o(v(d))? 8*d**2 Let h(g) = -2*g - 8. Let i(w) = -w - 3. Let y(v) = -v**2 - 7*v - 2. Let s be y(-5). Let f(k) = s*i(k) - 3*h(k). Let q(o) = -6*o. Determine f(q(x)). 12*x Let b(j) = -5*j**2 - 4. Let f(z) = -4*z**2 - 3. Let a(i) = -3*b(i) + 4*f(i). Let u(n) = 32*n**2. Give a(u(v)). -1024*v**4 Suppose 12 = 2*h + 3*l, -l - 8 = -5*h - 3*l. Let a(m) = 3 - 2*m + h*m - 3. Let q(t) = 3*t. Give q(a(r)). -6*r Let p(r) = -48*r. Let h(q) = -53*q**2 - q. Determine p(h(d)). 2544*d**2 + 48*d Let m(q) be the first derivative of -5 + 0*q + 1/2*q**2. Let d(a) be the first derivative of 2*a**3/3 - 1. What is d(m(k))? 2*k**2 Let l(r) be the third derivative of -r**5/60 - 3*r**2. Let s(g) = -3*g**2. Give l(s(n)). -9*n**4 Let b(r) = -r**2. Let k(d) = 77*d + 35. Let j(x) = -13*x - 6. Let c(h) = 35*j(h) + 6*k(h). What is b(c(q))? -49*q**2 Let b(t) = 4 + 2*t - 4. Let c(g) be the second derivative of -g**4/6 - 2*g. Give c(b(d)). -8*d**2 Let p(u) = -2*u. Let i(a) = 6*a + 10. What is i(p(m))? -12*m + 10 Let g(u) = -u. Let y(q) be the third derivative of 2*q**4/3 + 3*q**2. Give g(y(s)). -16*s Let y(l) = -3*l**2. Let s(u) = 2*u**2. What is y(s(x))? -12*x**4 Let b(x) = -12*x + 5. Let s(j) = 34*j - 14. Let n(m) = 14*b(m) + 5*s(m). Let c(p) be the first derivative of -p**3/3 - 1. Give c(n(l)). -4*l**2 Let i(h) = 2*h. Let d(q) = q. Let o(z) = 2*z. Let x(t) = 5*d(t) - o(t). Give x(i(a)). 6*a Let v(y) = -8*y + 32. Let c(j) = -1. Let t(w) = -32*c(w) - v(w). Let u(g) = 3*g. Calculate t(u(l)). 24*l Let z(u) = 10*u**2. Let d(i) = -14*i + 3. Calculate d(z(r)). -140*r**2 + 3 Let s(p) = -3*p. Let a(m) = 0*m + 4*m - 5*m. Give s(a(g)). 3*g Let l(t) = 2*t**2. Let n(y) be the third derivative of y**5/20 - 8*y**2. Calculate l(n(j)). 18*j**4 Let f(s) = -20*s**2. Let d(u) = 280*u. Determine f(d(w)). -1568000*w**2 Let m(r) = 3*r - 8. Let b(l) = -l + 3. Let f(s) = 8*b(s) + 3*m(s). Let v(c) = 6*c**2. Determine f(v(n)). 6*n**2 Let b(x) = 0*x**2 + 6*x**2 - 5*x**2. Let p(d) = 7*d**2. Give p(b(u)). 7*u**4 Let a(z) = -8*z**2 - 3*z. Let g(k) = -2*k**2. Determine a(g(h)). -32*h**4 + 6*h**2 Let h(w) = -w. Let i(q) = -26*q**2 - 2. What is h(i(d))? 26*d**2 + 2 Let a(x) = -2*x**2. Let k(j) be the second derivative of j**4/6 - 8*j. What is k(a(c))? 8*c**4 Let v(t) = 2*t**2 - 130*t. Let n(j) = -21*j**2. Calculate v(n(h)). 882*h**4 + 2730*h**2 Let n(a) = -24*a. Let h(q) = 16*q. Let t(c) = -8*h(c) - 5*n(c). Let d(x) = -5*x. Let p(w) = w. Let l(f) = d(f) + 3*p(f). Give l(t(u)). 16*u Let l(y) = 229*y. Let a(t) = 2*t**2. Give l(a(z)). 458*z**2 Let u(v) = 8*v**2. Let x(l) = 416*l**2. What is x(u(d))? 26624*d**4 Let d(j) = 5*j**2 - j**2 - 2*j**2 - j**2. Let i(w) = -w**2. Give i(d(r)). -r**4 Let y(v) = -v + 3*v - 2*v - 4*v. Let g(s) = 11*s - 17*s + 5*s. Determine y(g(h)). 4*h Let w(t) = -3*t. Let j(z) = -4*z + 3*z + 0*z. What is j(w(m))? 3*m Let f(r) = 32*r + 1. Let k(p) = 3*p. Determine k(f(l)). 96*l + 3 Let g(r) be the third derivative of 7*r**4/8 + 15*r**2. Let x(q) = -2*q. Give g(x(o)). -42*o Let d(z) = 31*z + 6. Let m(j) = 30*j + 5. Let v(y) = -5*d(y) + 6*m(y). Let o(l) = -l. What is o(v(r))? -25*r Let j(u) = -158*u. Let r(z) = 2*z. Give j(r(g)). -316*g Let c(g) be the second derivative of 13*g**3/2 - 26*g. Let k(l) = -2*l**2. Calculate c(k(h)). -78*h**2 Let u(j) = 2*j + 18 - 18 - 4*j. Let b(m) = -9*m. What is u(b(v))? 18*v Let g(j) = 21*j**2 + 2*j. Let m(v) = 2*v**2. Calculate m(g(d)). 882*d**4 + 168*d**3 + 8*d**2 Let q(g) = 2*g. Let o(w) = -355*w. Determine o(q(b)). -710*b Let r(x) = 2*x. Let h = -33 + 35. Let f(j) be the first derivative of 0*j + 1 + 1/3*j**3 + 0*j**h. Calculate r(f(c)). 2*c**2 Let x(m) = 4*m. Let a(s) = 3*s - 4*s - 4*s + 0*s. Determine a(x(j)). -20*j Let j(p) = p + 25. Let k(x) = 2*x**2. Calculate j(k(h)). 2*h**2 + 25 Let z(r) be the second derivative of 0 + 0*r**2 + 17/6*r**3 + r. Let j(u) = -u**2. Determine j(z(o)). -289*o**2 Let k(l) = -7*l. Let j(q) be the first derivative of 0*q + 0*q**2 + 1/3*q**3 + 2. Wha
{ "pile_set_name": "DM Mathematics" }
pose -2*h + 4*a + 6 = 2*a, -2*a + 4 = 0. Suppose -247 = -5*j + 4*n, h*j + 98 = -4*n + 361. Let d = 162 - j. Is d composite? True Let y(s) = 30*s - 1. Is y(4) composite? True Suppose -3*d + 145 = -110. Is d a composite number? True Is (-12)/(-8) - 3308/(-8) composite? True Suppose 0 = 4*m + 2*z + 3*z + 17, 3*z + 11 = -2*m. Suppose 0 = 3*a + 4*v - 245, 0*a - 4*v + 166 = m*a. Is a a prime number? True Is (-6)/(-4)*(3990/9 - 4) a prime number? True Let y(u) = -4*u**2 + 7*u + 4. Let h(g) = 8*g**2 - 13*g - 8. Let x(z) = 6*h(z) + 11*y(z). Is x(5) a composite number? True Let y(b) = b + 1. Let z = 14 - 6. Let w be y(z). Suppose -4*h - 185 = -w*h. Is h a prime number? True Let l(d) = 14*d - 9. Let w(h) = -3*h + 1. Let t be w(-2). Is l(t) composite? False Let z(u) = 40*u + 5. Let x be z(3). Suppose -x = -c + 5*d, c + c - 2*d = 234. Is c composite? True Let y be 1 + ((-9)/3)/(-3). Suppose -j = 5*g + 23 + 69, 391 = -5*j - y*g. Let f = -24 - j. Is f prime? True Let z = 3 + -5. Let g be -54 - (z + 3 - 0). Let o = g - -92. Is o a prime number? True Let r be 21/6 - 2/4. Suppose 74 = -s + r*s. Is s prime? True Let x(w) = -4*w - 4. Let s be x(-4). Let m = 7 + s. Is m a prime number? True Let i be 7/(-42) + 1046/12. Let x = i + -50. Is x a composite number? False Suppose -2*l + 3*t = 2*l - 761, 2*l - 387 = -5*t. Is l a prime number? True Let g be -120 + -2 + 3 + -1. Let c = 57 - g. Is c a composite number? True Let g(y) = y. Let o be g(2). Is (o + -17*5)*-1 prime? True Suppose 0 = 7*z + 5*z - 1356. Is z a prime number? True Let o(g) = g**2 - 6*g - 7. Let n be o(7). Is 1*(n - 1) - -48 a prime number? True Suppose -5*y = 62 - 532. Is y a composite number? True Let i = -6 + 10. Suppose -2*n + 4*n + d - 500 = 0, -i*n + 4*d = -1012. Is n composite? False Suppose -5*h = 3*x - 6520 - 2373, -x + 2959 = 3*h. Is x a prime number? True Let m(f) = 12*f - 5. Is m(3) prime? True Suppose -3*a + 9*k - 4*k = -1609, 541 = a + 3*k. Suppose 5*d + a - 1465 = -2*h, 3*h = 3. Is d composite? True Let y = 130 + -51. Is y prime? True Let x be 0/((-1)/1*2). Suppose x*s - 1650 = -5*s. Let y = 491 - s. Is y composite? True Let x = 182 - 27. Is x prime? False Let a(z) = -63*z. Let f be a(1). Is 6/(-2) - f - 2 a prime number? False Suppose 7*f - 4*f - 2*c = -15, -5*c = -2*f - 10. Is ((-136)/(-5))/(-4)*f a composite number? True Suppose -13*l = -16*l + 1371. Is l a composite number? False Suppose -12 = -8*c + 6*c. Is c/(-14) + 7044/21 a prime number? False Suppose -3*z + 268 = -329. Is z a prime number? True Suppose 14 = 5*l - 6. Suppose -f + t - 101 = -3*f, 232 = l*f - 4*t. Is f composite? False Let v = -450 - -262. Let d = -111 - v. Is d a prime number? False Let x = 21 + -12. Suppose x = -3*h + 3. Is (-143 + h)/(1 - 2) composite? True Let o(x) = 2*x + 3. Let z be o(3). Let v(a) = 3*a - 12. Is v(z) composite? True Suppose -3*n + 5*n = 6. Suppose n*k = 5*r + 100, r - 45 = k - 3*k. Suppose j - k = 178. Is j prime? False Let q(i) = 251*i**2 - i - 1. Is q(-1) a composite number? False Suppose -160 = -k - 3*k - 2*d, 5*d + 133 = 3*k. Suppose 226 = 3*f - k. Is f a composite number? False Let k(t) = -t**2 + 13*t + 7. Is k(10) a prime number? True Is (-1)/(-2)*(-4910)/(-5) composite? False Let j = 320 - 211. Is j prime? True Suppose 2*z = 699 + 115. Is z a composite number? True Suppose 20*m - 9*m - 11506 = 0. Is m a composite number? True Let h = 245 - 162. Is h a composite number? False Suppose -4*d - 664 = -2*g, 6 = 2*d - 2. Suppose s + 0*s - 87 = -4*b, -5*s - b + g = 0. Is s a prime number? True Is (-4508)/(-6) - 1 - (-4)/6 a composite number? False Suppose 3*w = -0*w + 438. Let z = w - -37. Suppose 2*h + 73 = s, 0 = 3*s - 3*h - 24 - z. Is s a composite number? True Suppose 2*a = a + 2. Suppose a*c + 4*h - 90 = 0, -165 = -5*c + 6*h - h. Let m = c + 0. Is m a composite number? False Suppose 6*v - 15 = v, 0 = -3*u - 5*v + 8238. Is u prime? True Suppose 9*i - 20347 = -70. Is i prime? False Let r(o) be the first derivative of -o**4/4 - 8*o**3/3 + 7*o**2/2 + 2. Let f be r(-7). Let n = f - -157. Is n a prime number? True Let w be (36/(-8))/((-1)/(-2)). Suppose l + 8 = 5*l. Let b = l - w. Is b a prime number? True Let w be ((-2)/4)/(4/104). Let u(v) = -v**3 + 8*v**2 - 5*v + 8. Let b be u(7). Let s = b + w. Is s a composite number? True Suppose -p = -4*t + 18 + 2, -5*t = -2*p - 25. Let d(f) = -f + 2. Let j be d(p). Suppose 0*c - r = j*c - 39, -c + 24 = -r. Is c a composite number? True Suppose 0*p - 3*l + 306 = 3*p, -211 = -2*p + 5*l. Is p composite? False Let s = 26 - -11. Is s a composite number? False Suppose n - 5*f + 3450 = 6*n, -5*n + 3441 = 2*f. Is n prime? False Let v be ((-204)/18)/((-4)/(-30)). Let h = -6 - v. Is h a composite number? False Let r = -622 - -1443. Is r a prime number? True Suppose 336 - 75 = 3*b. Is b a composite number? True Let u be (-2)/(-8) - 21/4. Let z = 40 + u. Is z prime? False Let w be (-8)/(-36) - (-788)/18. Suppose -n = 2*u - 73, 3*u - 4*n - 60 = w. Suppose -u = -4*s + 16. Is s a prime number? True Suppose 4*s + 20 = -5*x, 3*s = -2*x - 0*x - 15. Suppose -n - 4*n = x. Suppose 0*o - 3*o + 259 = 4*f, 5*o + 3*f - 439 = n. Is o composite? False Let o(l) = l**3 + 7*l**2 + 6*l - 8. Let s = -9 + 6. Let k(z) = -2*z**3 - 8*z**2 - 6*z + 9. Let j(a) = s*o(a) - 2*k(a). Is j(6) a prime number? False Let r(z) = 2*z**2 - 13*z + 7. Let x(j) = j**3 - 4*j + 3. Let n be x(2). Suppose 0 = 8*q - n*q - 50. Is r(q) a composite number? True Let f = 14 + -23. Let z(w) = w**2 + 9*w + 13. Let q(c) = c + 1. Let l(t) = -3*q(t) + z(t). Is l(f) a composite number? False Suppose -2*x + 59 = 3*n, 0 = 5*x + 4*n - n - 170. Is x a prime number? True Let v(r) = r - 3. Let c(x) = x**3 + 6*x**2 + 5. Let o be c(-6). Let s be v(o). Suppose -s*p + 5*m = -87, 0 = -p + 3*p + 4*m - 42. Is p prime? True Let c(v) = 335*v**2 + 2*v + 1. Is c(-2) a composite number? True Let s(q) be the first derivative of 4*q**3/3 - q**2 + 2*q - 2. Is s(2) composite? True Let a(t) = 72*t**3 + 4*t**2 + 4*t + 3. Let v(u) = -71*u**3 - 5*u**2 - 5*u - 4. Let n(r) = -5*a(r) - 4*v(r). Is n(-1) prime? False Suppose -g + 1135 = 4*o, -o - 4612 = -4*g + o. Is g a composite number? False Suppose -2247 = 4*w - 7*w. Is w a composite number? True Let l(f) = 7 + 4 + 0*f - 9 + 3*f. Is l(4) prime? False Suppose -2208 = -5*f + 517. Is (f/4 + 3)*4 a composite number? False Is 1844/16 - (-1)/(-4) composite? True Let v = 629 + -366. Is v composite? False Let o(y) = -3*y**3 - 5*y**2 - 4*y + 1. Is o(-6) a prime number? False Suppose -3*x + 7 + 692 = 0. Is x composite? False Let o(x) = 4*x - 5 + 23*x - 6*x. Is o(8) a composite number? False Let o = -1093 + 2940. Is o a prime number? True Let d(c) = -2*c**3 - 13*c + c**3 + 8*c**2 + 9 + 5*c. Is d(6) prime? False Let p(t) = 15*t + 5. Let s be p(4). Let b = s - 6. Is b prime? True Suppose -1 = 2*u - 11. Let t(c) = 2*c - 6. Let r be t(u). Is (-2 + r)/2*37 a composite number? False Let p(i) = -4*i**3 - 5*i**2 - 11*i - 10. Let a be p(-7). Suppose 0 = 5*m - a - 131. Is m a prime number? False Suppose -a = -4*c + 20, 2*c + 0*a = 5*a + 10. Suppose 0 = -4*x - 2*s + 9 + 1, -c*s - 3 = -4*x. Suppose 145 = 5*o - 4*g, 3*o - g - 70 = -x*g. Is o prime? False Suppose 20*p - 26*p = -4164. Is p prime? False Let w(h) = h**2 - 2*h. Let q be w(2). Suppose q = -2*i + 2*n + 44, -4*i - i = n - 110. Let g = 57 - i. Is g a composite number? True Let j = -7 + 12. Suppose -2*p + 52 = 4*i - 142, -j*i - 5*p + 250 = 0. Is i prime? True Let o(h) be the second derivative of h + 1/2*h**2 + 0 + 7/12*h**4 - 1/6*h**3. Is o(-2) a composite number? False Let v(k) = 18*k**2 + 2*k + 3. Let d be v(3). Suppose -6*q + 3*q = -d. Is q prime? False Suppose 4*z + 1367 = 5611. Is z a composite number? False Suppose 8827 = 7*f - 4102. Is f prime? True Suppose -m - 271 = 5*b - 3446, -b + 3*m = -635. Is b prime? False Let b(u) = 3*u**3 - 5*u**2 - 2*u + 10. Let p(k) = 6*k**3 - 10*k**2 - 4*k + 19. Let t(a) = -5*b(a) + 3*p(a). Is t(4) prime? False Suppose b + 4*b - 20 = 0. Let n = 3 + 0. Suppose -n*d - b*f = -97, -f + 98 = 3*d - 5. Is d a prime number? False Suppose 0 = 4*g - 57 - 87. Suppose 4*n = g + 20. Is n composite? True Let s(v) = -v**3 - 14*v**2 - 8*v - 3. Is s(-14) prime? True Suppose -l = 49 + 17. Let y = -27 - l. Suppose s - 14 = y. Is s a composite
{ "pile_set_name": "DM Mathematics" }
, k. k, -4, -3 Let i = 181 + -178. Sort i, -1, 6 in decreasing order. 6, i, -1 Suppose -4*v + 2*v = 0. Let l = v - 2. Suppose 0 = 10*o - 12*o + 4. Sort 0, o, l. l, 0, o Let h be (10 + -6)*1/(-1). Suppose -2*u = 3*u - 10. Put 1, u, h in increasing order. h, 1, u Let n be (-2)/5 - 8/5. Let d = -58 + 62. Put 2, n, d in ascending order. n, 2, d Suppose -y + 0*y + 4 = 0. Let s be 14/(-49) - (-9)/7. Sort s, y, -3 in ascending order. -3, s, y Let a(p) = p - 34. Let g be a(-6). Sort 5, -4, g in increasing order. g, -4, 5 Let u = -7.9 + -1.1. Let x = -6 - u. Put -0.3, 2, x in decreasing order. x, 2, -0.3 Let r be -6 + 1 - (-25)/5. Put 3, -5, r in ascending order. -5, r, 3 Suppose 1 = 4*b - 19. Suppose -b*t + 3 = -12. Put t, 5, -5 in decreasing order. 5, t, -5 Let g be (2/(-10))/(7/(-35)). Let d be ((-2)/(-3))/(g/(-3)). Suppose 2*n - 1 = n. Sort 3, n, d in descending order. 3, n, d Let l = 0.5 + -0.1. Let o = 2.83 + 0.27. Let h = o - 3. Sort h, l, -2/7 in increasing order. -2/7, h, l Let j be 22/18 + (-8)/36. Let u be 10 + -14 - (-4 + j). Put 0, u, 3 in ascending order. u, 0, 3 Suppose 5*i - 2 + 12 = 0. Sort -1, 3, i. i, -1, 3 Let t be 4/10 + (-114)/(-15). Suppose 4*g - 3*d = -12, 5*d - 12 = -4*g + t. Let p = 0.5 - 0.4. Put -0.4, p, g in descending order. p, g, -0.4 Let y(v) = 20*v - 30. Let a be y(2). Put -3, 5, a in descending order. a, 5, -3 Let z = 34 + -69/2. Put -0.2, 1/2, z in decreasing order. 1/2, -0.2, z Let z = -0.3 + 0.18. Let j = z - -0.1. Let d = -4.98 + j. Sort -4, d, 0.1 in decreasing order. 0.1, -4, d Let t = 4 - -2. Let w = -5 + t. Let x = -3 - -8. Sort x, w, -1/7. -1/7, w, x Let p be 2/10 - 2/(-50). Let y = p + -68/75. Put y, -0.2, 0.4 in decreasing order. 0.4, -0.2, y Let x(s) = s**3 - 6*s**2 - s + 7. Let h be x(6). Let n be (-5)/7 + 4/(-14). Suppose 19*d - 16*d = 12. Sort n, d, h. n, h, d Let a = 112/1065 - -2/71. Let y = 43.5 + -43. Sort 2/7, a, y. a, 2/7, y Let f(k) = k**3 + 4*k**2 + k. Let i be f(-4). Let g = -0.23 + 17.23. Let t = 17.5 - g. Put i, t, 0 in decreasing order. t, 0, i Let g(c) = c - 2. Let h be g(4). Let w be (0 - 1) + -2 + 1. Let j be (-16)/(-24)*(-9)/w. Sort h, j, -0.1 in increasing order. -0.1, h, j Let c(i) = -i - 5. Let m be c(-5). Suppose -3*q = 4*d + 11, 4*d + 6 = -2*q - 0. Sort 4, m, q in decreasing order. 4, m, q Suppose 0 = -6*c + 9*c - 15. Put -5, 0, c in descending order. c, 0, -5 Suppose -i = 4*q + 10, -4*i + 2*q = -q + 2. Sort i, 4, -5 in ascending order. -5, i, 4 Let l = -11.2 + 13.16. Let z = l - -0.04. Put 1, z, 4/3 in ascending order. 1, 4/3, z Let n(r) = -75*r**3 - r**2 + 3*r. Let j be n(3). Let h be 12*(-5)/(j/114). Let p = h - 44/15. Sort -2, p, -0.3 in ascending order. -2, -0.3, p Let p be 5*-1 - (-8)/4. Sort 6, -2, p in descending order. 6, -2, p Suppose -p - 2 = 0, -3*p - 12 + 31 = 5*w. Sort 7, w, -5 in ascending order. -5, w, 7 Let d = -6 - -5.7. Let f = 102 + -1120/11. Sort f, d, -1/4 in ascending order. d, -1/4, f Let c = -0.02 + -13.98. Let o = -14.2 - c. Sort 0, 0.3, o in descending order. 0.3, 0, o Let b = 13.3 - 13. Put b, 2/15, 1/5 in increasing order. 2/15, 1/5, b Let c(q) = -q**3 + 17*q**2 + 16*q + 35. Let j be c(18). Sort -7, 0, j, -5 in decreasing order. 0, j, -5, -7 Let l = 1.9 + -1.9. Sort 2/5, l, -4 in decreasing order. 2/5, l, -4 Let h be (-6)/81 + 959/189. Suppose 3*y - a = 13 - 0, 5*y + a - 27 = 0. Suppose 3*c + 35 = -5*n, n - 27 = y*c - 6. Put n, 1, h in descending order. h, 1, n Let t = -28.1 - -28. Put t, -2/9, 0.5 in increasing order. -2/9, t, 0.5 Suppose -4*x = -10 - 10. Sort 1, 0, x, -5. -5, 0, 1, x Let m(y) = y**2 - y + 2. Let z be m(0). Let i be z/(0 + -2)*-2. Sort i, 1, 4 in increasing order. 1, i, 4 Let r be ((-16)/24)/(1/(-9)). Let y be (-3)/(-2) + r/(-3). Let g(m) = -m**2 - 7*m - 9. Let z be g(-6). Put y, z, 0.2 in increasing order. z, y, 0.2 Let m be (0 - 3/(-9))*-9. Let o be (-1*(-3)/m)/(-2). Sort 0, o, 4 in ascending order. 0, o, 4 Let q = -1.2 - -1.2. Sort -4/5, 1, q. -4/5, q, 1 Let a = 41 - 41. Sort -2, -1/5, 2, a in increasing order. -2, -1/5, a, 2 Let u = 0 + -4. Let x = 3.3 - 2.9. Put u, x, -5 in increasing order. -5, u, x Let h = -4 + 4.4. Put h, -0.5, -0.1 in decreasing order. h, -0.1, -0.5 Let b(j) = -j**3 + 6*j**2 + 6*j + 10. Let z be b(7). Sort 1, z, -4 in descending order. z, 1, -4 Let o = -101 + 907/9. Let d = 8.81 - -0.19. Let m = d - 7. Sort 1, m, o in decreasing order. m, 1, o Let p be (-1 - 0) + 2 + 0. Sort -1, -4, p in ascending order. -4, -1, p Let x = 7.1 - 0.1. Let k = x - 7.1. Sort 0.4, -1, k in ascending order. -1, k, 0.4 Suppose -k + 4*k = 5*s - 2, s - 1 = 0. Put 3, -5, k in descending order. 3, k, -5 Let g = -0.05 + -0.25. Sort 0.2, 2/13, -2/9, g in increasing order. g, -2/9, 2/13, 0.2 Let h be (-3)/(-9) + 112/(-21). Let g(t) = t**2 + 2*t - 3. Let r be g(-3). Sort h, r, 4 in decreasing order. 4, r, h Suppose 2*a + 4 = 3*a, -2*a = 3*j - 14. Suppose 76 = -3*m + 7*m. Let d = m - 15. Sort -2, d, j in decreasing order. d, j, -2 Suppose -1020 = -0*m - 4*m. Let c be 10/(-4)*12/m. Let x = 3 - 1. Put 3/7, x, c in descending order. x, 3/7, c Let s = 2 + -5. Let c = s + 3. Let b = 165 - 1157/7. Sort -0.3, c, b in descending order. c, b, -0.3 Let x = -0.16 - 3.84. Sort 0.2, -2/31, x in descending order. 0.2, -2/31, x Let i = -36 + 35. Put i, -2, -5 in decreasing order. i, -2, -5 Let y = -0.48 - -0.29. Let m = 0.09 + y. Sort 0.5, -1, m in decreasing order. 0.5, m, -1 Let g = -0.03 + -0.77. Let l = -1 - g. Put l, -1/8, -0.3 in descending order. -1/8, l, -0.3 Suppose t + 109 = 113. Sort 2, -4, t, -9 in increasing order. -9, -4, 2, t Suppose 0 = 7*h + 27 - 6. Let x be (10/6 - 2)*-15. Suppose 0 = a + x - 0. Sort -2, h, a. a, h, -2 Let f(g) be the second derivative of 1/2*g**3 + 2*g**2 + 0 + 1/3*g**4 + 1/20*g**5 + 4*g. Let u be f(-3). Put 0, -1, u in descending order. u, 0, -1 Let v be (8/3)/((-8)/(-12)). Suppose 5*o + v*d + 2 = 1, -o + d + 7 = 0. Let f = o + -4. Sort 5, 2, f in increasing order. f, 2, 5 Let z = -8 + 6. Let r = 0.16 + -0.14. Let k = r + -0.12. Sort 0, k, z in decreasing order. 0, k, z Let r = -5 - -7. Suppose 5*h - 3*d - 1 - r = 0, 0 = -5*h + 5*d - 5. Suppose -5*n + 1 = -2*q - 2, -h*q - 2*n = -5. Put -4, -3, q in descending order. q, -3, -4 Let q(f) = -f**2 - 3*f + 1. Let m be q(-3). Suppose -4*p - a = -0*a + 21, 2*p = 5*a - 5. Put -2, m, p in ascending order. p, -2, m Let m = -4 + 7. Let o be 2/1 - (-10)/(-5). Sort 1, o, m. o, 1, m Let q = 89 - 89.45. Sort q, 1/6, 0.2 in descending order. 0.2, 1/6, q Let p(g) = 2*g**2 + g + 2. Let b be p(-1). Let c = 2 - 1. Sort b, -1, c in increasing order. -1, c, b Let y(p) = -2*p + 10. Let i(f) = -f + 1. Let k(t) = 3*i(t) - y(t). Let g be k(-9). Let r = -5 - -9. Put 5, r, g in decreasing order. 5, r, g Let h(f) = -2*f**3 + 30*f**2 - f + 15. Let u be h(15). Sort 0.017, u, -0.3 in descending order. 0.017, u, -0.3 Let f be 15/(-25) + (-4)/10. Let y = 3 + -5. Sort 2, y, f in ascending order. y, f, 2 Let m(f) = -f**2 + 7*f + 3. Let g be m(9). Let r be (-38)/(-7) + g/35. Let d be 1 - 0 - 6/(-3). Put r, d, -4 in decreasing order. r, d, -4 Let f be -3 - (1 + 3 - 4). Sort f, 5, 8 in increasing order. f, 5, 8 Let t be 4 + (1 - 14) + 4. Put t, 2, 5 in ascending order. t, 2, 5 Suppose 0*o + 15 = 3*o. Let r be (o/(-15))/((-1)/9). Suppose -2*p = -0*n + 4*n - 16, -14 = -n - r*p. Put 4, n, -1 in descending order. 4, n, -1 Suppose -1 = -5*u + 4. Suppose 4*w + 2 - 6 = 3*j, 3*j - 3*w = 0. Sort u, j, -4 in decreasing order. j, u, -4 Let j = 3/8 + 1/8. Let s = 3/17 + -29/68. Sort j, -5, s. -5, s, j Let c(o) = 3 - 2 + 0*o + o**3 + 7 + o - 7*o**2. Let z be c(7). Suppose -2*i - 5 + z = 0. Sort 1/4, i, -2/3 in increasing order. -2/3, 1/4, i Let w = -18 + 18.7. Let x = -3.3 - w. Sort -2, -3, x in descending order. -2, -3, x Suppose -h = 3*n + 2, -4*n + 5*n - 4*h = 8. Let z be (n - -1)/((-2)/(-6)). Suppose 12 = z*j + 3. Put 0, -1, j in increasing order. -1, 0, j Let n(s) = s**3 - 5*s**2 + 5*s + 4. Let l(b) = -6*b**3 + 26*b**2 - 26*b - 20. Let o(k) = 2*l(k) + 11*n(k). Let c be o(-3). Sort c, -3, 2. c, -3, 2 Suppose 1 = 4*v - i, 0 = 4*v + 5*i - i - 16. Sort -2, 5, v, -3/5 in increasing order. -2, -3/5, v, 5 Let m(n) = -n**3 - 13*n**2 + n + 12. Let c be m(-13). Sort 2, 0, c in increasing order. c, 0, 2 Let o = 34/21 - 4/3. S
{ "pile_set_name": "DM Mathematics" }
+ 3/4*g**2 = 0. Calculate g. -44 Let x(v) = -2*v**5 - 12*v**4 - 12*v**3 + 56*v**2 - v - 59. Let g(l) = l**5 + 2*l**2 + 2*l + 1. Let m(n) = -5*g(n) - x(n). What is z in m(z) = 0? -2, -1, 1, 3 Let w be -2*(-2 - (-3 + 2)). Let -w*q**3 - 3*q**3 + 6*q**3 + 2*q**3 + 3*q**2 = 0. What is q? -1, 0 Let k(s) be the third derivative of -s**5/270 + 7*s**4/108 + 8*s**3/27 - 3*s**2 - 11*s. Factor k(x). -2*(x - 8)*(x + 1)/9 Let q = 386941/18138 + 1/6046. Factor -128/9 + 8/3*m**3 - 2/9*m**4 + q*m - 104/9*m**2. -2*(m - 4)**2*(m - 2)**2/9 Suppose 0 - 9 = -3*y. Determine h, given that -5*h**2 + 40 - 20*h + 3*h**3 - 19*h**2 + 22*h**y - 5*h**4 - 6*h**2 = 0. -1, 2 Let r(i) = -i**3 - 22*i**2 + 2*i + 42. Let p be r(-22). Let s be 4 - (70/98 - p/2). Factor 10/7*a**3 - s*a**2 + 8/7*a - 2/7*a**4 + 0. -2*a*(a - 2)**2*(a - 1)/7 Suppose 0 - 2/5*h**3 + 4/5*h**2 + 0*h + 4*h**5 - 22/5*h**4 = 0. Calculate h. -2/5, 0, 1/2, 1 Find k such that -88/7*k + 16/7 - 18/7*k**5 - 24/7*k**4 + 94/7*k**3 + 92/7*k**2 = 0. -2, 1/3, 2 Let b be (-12)/(-4) - -2*1. Factor 0*m**2 - m**5 + 2*m**b - 3*m**3 + 2*m**4 + 0*m**2. m**3*(m - 1)*(m + 3) Let k be (174/(-1305) - 22/15)/(-1). Determine h so that -2/5*h**2 + 0*h + 2*h**3 + 0 - k*h**4 = 0. 0, 1/4, 1 Let s = 516 - 516. Let i(t) be the third derivative of -1/15*t**5 - 8/3*t**3 + 0*t + s + 2/3*t**4 - t**2. Find b such that i(b) = 0. 2 Let c(u) = 27*u**3 + 108*u**2 + 109*u + 34. Let q(y) = 55*y**3 + 215*y**2 + 215*y + 70. Let o(k) = -5*c(k) + 2*q(k). Let o(j) = 0. What is j? -3, -1, -2/5 Let p(f) be the third derivative of -16*f**2 + 0*f + 0*f**3 - 1/20*f**5 + 0*f**4 - 1/70*f**7 + 0 + 1/20*f**6. Factor p(k). -3*k**2*(k - 1)**2 Let z(g) = g**3 + 25*g**2 + 48*g + 51. Let t be z(-23). Let l = -14/11 - -92/55. Solve 0*r - 4/5*r**2 + 0 - 8/5*r**4 - l*r**t - 2*r**3 = 0. -2, -1, 0 Let x(i) be the third derivative of -i**9/1890 + i**8/700 - i**6/450 + 11*i**3/3 + 20*i**2. Let f(b) be the first derivative of x(b). What is p in f(p) = 0? -1/2, 0, 1 Let k(c) be the second derivative of -c**6/165 - 17*c**5/110 - c - 6. Let k(p) = 0. Calculate p. -17, 0 Let a(l) be the third derivative of -l**8/336 + 4*l**7/105 - l**6/20 - 2*l**5/15 + 7*l**4/24 + 11*l**2. Factor a(v). -v*(v - 7)*(v - 1)**2*(v + 1) Suppose -15*k = 2*k - 34. Let l(a) be the first derivative of 1/3*a**3 + 0*a**k + 0*a + 1/4*a**4 - 7. Factor l(r). r**2*(r + 1) Let n(c) be the first derivative of -6/5*c**2 + 6 - 8/15*c**3 + 0*c + 1/5*c**4. What is m in n(m) = 0? -1, 0, 3 Let d be (10/35)/(2/14). Suppose d*t = 5*t. Factor 2*j**3 - 3 - 6*j + 7 + t*j**3. 2*(j - 1)**2*(j + 2) Let k(o) be the first derivative of -o**6/14 - 18*o**5/35 - 39*o**4/28 - 12*o**3/7 - 6*o**2/7 + 40. Factor k(z). -3*z*(z + 1)**2*(z + 2)**2/7 Let p(l) be the first derivative of 5*l**3/3 + 305*l**2/2 + 300*l - 182. Let p(m) = 0. What is m? -60, -1 Let f(k) be the third derivative of -1/120*k**6 + 3*k**2 + 0*k**5 + 0*k**3 + 1/6*k**4 + 0 + 0*k. Factor f(p). -p*(p - 2)*(p + 2) Let v be (-153)/(-6) + -6 - -3. Factor 5/2*h**4 + 5 + v*h**2 + 25/2*h**3 + 35/2*h. 5*(h + 1)**3*(h + 2)/2 Let w = 61 - 57. Suppose 4*d + w*d = 2*d. Factor 0 + 0*g - 1/3*g**3 + d*g**2. -g**3/3 Let t(i) = 6*i**4 - 66*i**3 + 70*i**2 + 109*i. Let g(h) = h**4 - 13*h**3 + 14*h**2 + 22*h. Let d(s) = 33*g(s) - 6*t(s). Determine a, given that d(a) = 0. -12, -1, 0, 2 Let h = 50 + -43. Let j(s) = -2*s**2 - 7. Let o(p) = p**2 + 4. Let a(x) = h*o(x) + 4*j(x). What is b in a(b) = 0? 0 Let m = -8 + 12. Let v = -82 - -85. Factor -4*f**3 - 6*f - 2*f**3 - 3*f**2 - 12*f**2 - 6*f**3 - v*f**m. -3*f*(f + 1)**2*(f + 2) Let a(b) be the second derivative of 7*b**4/60 + 2*b**3/5 + b**2/2 + 65*b. Suppose a(d) = 0. Calculate d. -1, -5/7 Let w(f) be the first derivative of 1/30*f**6 + 0*f - 7/2*f**2 + 7 + 1/3*f**5 + 4/3*f**4 + 8/3*f**3. Let p(g) be the second derivative of w(g). Factor p(c). 4*(c + 1)*(c + 2)**2 Suppose 5*w - 41 + 11 = 0. Suppose 185*s - 14 = 178*s. Let -18 + 16*n**s - 12*n**3 + 7*n + w*n + 2*n**4 - n = 0. What is n? -1, 1, 3 Let d(r) = -6*r**2 + 6*r + 9. Suppose 3*w - 6*w + 6 = 0. Let f be w + (-15)/3 + 0. Let q(t) = -7*t**2 + 6*t + 9. Let h(o) = f*q(o) + 4*d(o). Factor h(k). -3*(k - 3)*(k + 1) Factor 119562 + 332*f**3 + 37902 + 96228*f + 0*f**4 + 9396*f**2 + 4*f**4. 4*(f + 2)*(f + 27)**3 Let b(x) = -x**3 + 7*x**2 - 6*x - 2. Let g be b(6). Let s be 27/6*(-3)/9 - g. Factor 1/2*u**2 + s + u. (u + 1)**2/2 Factor 900*c**2 - 21*c**3 - 120*c - 43*c**3 - 728*c**2 + 4*c**4 + 8*c**3. 4*c*(c - 10)*(c - 3)*(c - 1) Suppose -30 = -2*g - g. Suppose -3*t + g = 2*t. Suppose -y**2 + 14*y**4 + 6*y**5 - 4*y**4 + t*y**3 - y**2 = 0. Calculate y. -1, 0, 1/3 Let l(u) be the second derivative of u**7/28 + u**6/20 + 372*u. Factor l(m). 3*m**4*(m + 1)/2 Let s = -2 + 4. Let a(k) = -k**3 + 21*k**2 - 26*k + 122. Let o be a(20). Factor 3*v**2 + v**2 + o*v**2 + 18*v**3 + 14*v**4 - s*v**2. 2*v**2*(v + 1)*(7*v + 2) Factor -33 - 4*c**2 + 43 - 44*c - 82. -4*(c + 2)*(c + 9) Suppose -4/15*y - 2/15*y**3 + 2/5*y**2 + 0 = 0. What is y? 0, 1, 2 Let y(a) = -a**3 - 2*a**2 + a + 2. Let j(p) = 8*p**3 + 122*p**2 - 470*p + 460. Let s(b) = j(b) + 6*y(b). Factor s(u). 2*(u - 2)**2*(u + 59) Let a(n) = -5*n**2. Let r(q) = 4*q**2 - 1. Suppose -4*v + 22 - 10 = 0. Let m(h) = v*a(h) + 4*r(h). Find u, given that m(u) = 0. -2, 2 Suppose 7 = 2*d - 2*f - 7, -8 = -5*d - 4*f. Let o(n) be the second derivative of -3/5*n**2 - 6*n + 0 - 3/10*n**3 - 1/20*n**d. Factor o(u). -3*(u + 1)*(u + 2)/5 Let p = 11/13190 - -28872811/118710. Let j = p - 243. Suppose j*c**5 + 0 + 2/9*c**2 - 2/9*c**4 - 2/9*c**3 + 0*c = 0. What is c? -1, 0, 1 Let v = 2 - -1. Let b(x) = -x**3 + 6*x**2 - 7*x + 12. Let w be b(5). Factor -r**4 + 10*r**3 + 8 - w*r**2 - 8*r - 2*r**v - r**4 - 4*r**2. -2*(r - 2)**2*(r - 1)*(r + 1) Suppose -317*c = 160*c. Find a such that -1/3*a**5 + c*a + 4/3*a**3 + 2/3*a**4 - 8/3*a**2 + 0 = 0. -2, 0, 2 Let a(r) = 3*r**3 - 433*r**2 + 15137*r - 206763. Let n(y) = y**3 - 147*y**2 + 5046*y - 68921. Let b(w) = -3*a(w) + 8*n(w). Factor b(g). -(g - 41)**3 Let d(s) be the third derivative of 5/3*s**3 + 0 + 5/8*s**4 + 0*s + 1/12*s**5 - 23*s**2. Solve d(w) = 0. -2, -1 Let a = 517/92 + -112/23. Find m, given that 0*m + 0 - a*m**2 = 0. 0 Suppose 54/11*i**2 + 30/11*i**4 + 108/11*i**3 - 120/11*i - 72/11 = 0. What is i? -2, -3/5, 1 Let p(f) be the first derivative of f**9/2268 - f**7/630 - 2*f**3 - 20. Let a(w) be the third derivative of p(w). Factor a(d). 4*d**3*(d - 1)*(d + 1)/3 Factor 15*g**2 - 40 + 5*g**3 - 126*g + 263*g - 167*g. 5*(g - 2)*(g + 1)*(g + 4) Let r(i) = -i**4 - i**2 - 2*i. Let o(m) = 2*m**5 - 9*m**4 - 12*m**3 + 11*m**2 - 12. Let t(k) = o(k) - 5*r(k). Determine j, given that t(j) = 0. -2, -1, 1, 3 Let b(u) be the third derivative of 11/16*u**8 - 69/70*u**7 + 73/20*u**5 + 3/2*u**4 - 2*u**3 + 0*u + 0 - 11*u**2 - 89/40*u**6. What is v in b(v) = 0? -1, -2/7, 2/11, 1 Let j(p) = -p**2 + 1087*p + 3. Let k be j(0). Factor 0 + 0*l**4 + 2/11*l**5 - 8/11*l**k + 0*l + 0*l**2. 2*l**3*(l - 2)*(l + 2)/11 Suppose -4*p = -20, -y - p - p - 88 = 0. Let t = y - -399/4. Factor 0 - 1/2*u + t*u**2. u*(7*u - 2)/4 Let v(d) be the third derivative of d**7/420 + 7*d**6/180 + 4*d**5/15 + d**4 - 7*d**3/3 + 14*d**2 + 1. Let x(h) be the first derivative of v(h). Factor x(y). 2*(y + 2)**2*(y + 3) Let p = -35 - -37. Factor -4 + 4*r**2 - 10*r - 6*r**2 - 2*r**3 - 4*r**2 - 2*r**p. -2*(r + 1)**2*(r + 2) Let x be (2/(-3))/((-1200)/225). Let 1/4*h + x*h**2 - 1/8*h**3 + 0 = 0. Calculate h. -1, 0, 2 Let r(w) = -165*w**3 - 505*w**2 + 1225*w - 695. Let z(n) = -14*n**3 - 42*n**2 + 102*n - 58. Let t(b) = -3*r(b) + 35*z(b). Factor t(d). 5*(d - 1)**2*(d + 11) Let a be (-1)/(-2) - 9/(-6). Factor -6*i**2 - 2 - i**2 - i**3 - i**2 + 4*i**a - 5*i. -(i + 1)**2*(i + 2) Factor -h**2 - 6783 - 2*h**2 + 6*h + 6828. -3*(h - 5)*(h + 3) Let q(z) = -11*z**2 + 37*z - 5. Let y(d) = 19*d + 23*d**2 - 28*d**2 + 6 - 8. Let t(o) = 2*q(o) - 5*y(o). Factor t(k). 3*k*(k - 7) Let y(t) = -13*t**2 + 675*t + 173. Let c(s) = -14*s**2 + 676*s + 174. Let f(m) = -5*c(m) + 6*y(m). Factor f(u). -2*(u - 84)*(4*u + 1) Let o(a) be the first derivative of -5*a**4/2 - 17*a**3/9 + a**2/3 - 269. Find m such that o(m) = 0. -2/3, 0, 1/10 Let u(a) = a**2 + 60*a - 1085. Let t(g) = -6*g**2 - 297*g + 5423. Let k(z) = -2*t(z) - 11
{ "pile_set_name": "DM Mathematics" }
/54*v**4 - 7/27*v**3 + 8/9*v**2 + 71*v + 0. Factor w(t). -2*(t - 1)*(t + 8)/9 Let k(h) be the second derivative of -32/7*h**2 + 60*h + 1/42*h**4 + 0 + 2/3*h**3. Factor k(u). 2*(u - 2)*(u + 16)/7 Let m(c) be the first derivative of -c**4/2 - 46*c**3/3 - 3*c**2 + 70*c + 29. Let b(u) = u**3 + 31*u**2 + 4*u - 46. Let y(a) = 8*b(a) + 5*m(a). Factor y(i). -2*(i - 9)*(i - 1)*(i + 1) Let m(g) = g**2 + g + 1. Let a(o) = 221*o + 5 + 7*o**2 - 219*o + 2*o**2 - o**3. Let t(v) = a(v) - 5*m(v). Suppose t(w) = 0. Calculate w. 0, 1, 3 Let s be (-4)/(-26) + (375/13 - 8). Find f, given that 27 - 35*f + s*f**2 + 23*f**2 + 33 - 39*f**2 = 0. 3, 4 Factor -23 + 31/2*t**3 - 340*t**2 - 757/2*t. (t - 23)*(t + 1)*(31*t + 2)/2 What is l in 44*l**2 - 4*l**4 - 2*l**3 + 75*l**3 + 72*l - 105*l**3 = 0? -9, -1, 0, 2 Let u = -210 + 246. Let o be u/144 - (-22)/8. Factor 3/8*f**5 + 0*f**4 - 3/4*f**2 - 9/8*f**o + 0 + 0*f. 3*f**2*(f - 2)*(f + 1)**2/8 Find a, given that -4*a + 1/2*a**2 - 105/2 = 0. -7, 15 Factor -2/9*o**4 + 0*o + 0 + 20/3*o**2 + 26/9*o**3. -2*o**2*(o - 15)*(o + 2)/9 Let x(j) be the second derivative of 7*j**4/4 + 29*j**3 + 24*j**2 + 617*j. Solve x(l) = 0. -8, -2/7 Let r = 133/177 - 5/59. Let g be (-9)/120*-4*100/180. Factor -2/3 + r*s - g*s**3 + 1/6*s**2. -(s - 2)*(s - 1)*(s + 2)/6 Suppose 3*d + 2*k = -80, -322 + 426 = -4*d - 2*k. Let p be (d/(-75))/(4305/4275 + -1). Factor -72/5*w**2 + 0 + 0*w - 128/5*w**4 + p*w**3 + 4*w**5. 4*w**2*(w - 3)**2*(5*w - 2)/5 Let r = 259 - 256. Solve -j**3 - 4*j**r - j**3 + 3 + 7*j**2 + 6*j + 0*j - 10*j**2 = 0. -1, -1/2, 1 Let s(f) be the third derivative of f**6/780 + 2*f**5/195 - 19*f**4/156 + 14*f**3/39 + f**2 - 448*f. Factor s(l). 2*(l - 2)*(l - 1)*(l + 7)/13 Let c be 198/528*97/15 + (-20)/32. Factor -1/5*s**2 + 0*s + c. -(s - 3)*(s + 3)/5 Let l = 7550 + -7547. Factor -5/6*f**2 - 2/3*f + 0 - 1/6*f**l. -f*(f + 1)*(f + 4)/6 Let p(b) = 7*b - 117. Let t be p(17). What is c in -c**3 + 0*c**t - 3*c + c**2 + c**4 - 5*c - 11*c**2 = 0? -2, -1, 0, 4 Let y(k) = -1630*k**2 - 8105*k + 2040. Let a(c) = 110*c**2 - 1. Let f(u) = 15*a(u) + y(u). What is d in f(d) = 0? 1/4, 405 Let f be (-144)/(-2 + 14) - -12. Solve f + 4*d**2 - 4/3*d**4 + 0*d + 8/3*d**3 = 0. -1, 0, 3 Let o(y) = 5*y**2 - 385*y - 460. Let n(d) = -d**2 + 64*d + 77. Let z be 136/34 - (0 - 2). Let i(w) = z*o(w) + 35*n(w). Factor i(v). -5*(v + 1)*(v + 13) Let y = 25257 - 25254. Factor 0 + 6/5*a - 4/5*a**2 - 2/5*a**y. -2*a*(a - 1)*(a + 3)/5 Let w be 0 + (-3)/(6/(-14)). Let b be 4*84/40 + (-4)/10. Factor b*k + 8 + k**2 - 11 - 3*k**3 + w. -(k - 2)*(k + 1)*(3*k + 2) Let c be -16 + 6 - ((-584)/7)/8. Factor -c*f**2 + 33/7*f - 54/7. -3*(f - 9)*(f - 2)/7 Factor 1838*k + 368*k**3 - 51*k**3 + 662*k + 19*k**3 + 18*k**4 + 382*k**2 + 1468*k**2. 2*k*(k + 2)*(3*k + 25)**2 Let g be (36/1224)/((-12)/(-240)). Solve -58/17*f**2 - 114/17*f**3 + 12/17 - 74/17*f**4 - 16/17*f**5 + g*f = 0 for f. -2, -1, 3/8 Let u(r) be the second derivative of -1/30*r**5 + 0*r**4 + 7*r**2 - 13*r + 1/3*r**3 + 0. Let i(x) be the first derivative of u(x). Factor i(f). -2*(f - 1)*(f + 1) Let i(t) be the second derivative of 1/35*t**6 + 0 + 0*t**2 + 3/70*t**5 - 1/7*t**3 - 67*t - 1/14*t**4. Determine g, given that i(g) = 0. -1, 0, 1 Let l(d) be the first derivative of -260*d**6/3 + 484*d**5/5 + 655*d**4 + 1820*d**3/3 + 30*d**2 - 144*d + 1710. Let l(k) = 0. What is k? -1, -4/5, -1/2, 3/13, 3 Let p = 23 + -6. Let f(d) = 15*d - 116. Let u be f(8). Factor -37*t**2 + 18*t**2 + u - 108*t**3 - p*t**2 + 12*t. -4*(3*t - 1)*(3*t + 1)**2 Let g be -23 + 19 + (36 - 0). Let x = g + -29. Find s such that -3*s**x + 9*s**2 - 6*s + 0*s - 5*s + 3 + 2*s = 0. 1 Let x = -1484 + 19. Let y = -27829/19 - x. Factor 2/19*b**3 - 2/19*b**2 - y - 10/19*b. 2*(b - 3)*(b + 1)**2/19 Let r(u) be the first derivative of u**6/200 + 7*u**5/100 + 7*u**4/20 + 4*u**3/5 + 2*u**2 - 6*u + 73. Let i(c) be the second derivative of r(c). Factor i(p). 3*(p + 1)*(p + 2)*(p + 4)/5 Suppose 17*h = 16*h - 3*o - 1397, -4*h = -2*o + 5616. Let a = h + 1406. Factor 3 + 3/5*f**a - 3*f**2 - 3/5*f. 3*(f - 5)*(f - 1)*(f + 1)/5 Let k = -6885 - -27541/4. Let m(y) be the second derivative of -1/24*y**4 - k*y**3 - 1/2*y**2 + 0 + 6*y. Factor m(p). -(p + 1)*(p + 2)/2 Let h = 2371 + -2371. Let t(m) be the second derivative of 1/90*m**4 + h - 1/3*m**2 - 4/45*m**3 - 14*m. Determine v so that t(v) = 0. -1, 5 Let r(h) be the second derivative of 3*h**2 + 2/3*h**3 + 2 - 1/6*h**4 + 34*h. Factor r(x). -2*(x - 3)*(x + 1) Suppose 4*k = 5*h + 2*k - 75, 0 = h - 2*k - 23. Find y such that 3*y**2 - h*y + 15*y + 3 + 4*y = 0. -1 Suppose 0 = 109*u - 105*u - 64. Suppose -1 + 8*k + 5 + u*k**2 + 12*k = 0. What is k? -1, -1/4 Let u(r) be the second derivative of r**7/126 + r**6/45 - 11*r**5/30 + 4*r**4/9 + 7*r**3/6 - 3*r**2 + 3*r - 173. Suppose u(f) = 0. What is f? -6, -1, 1, 3 Let k(d) be the first derivative of d**5/50 + d**4/2 + 21*d**3/5 + 49*d**2/5 - 95*d - 148. Let b(w) be the first derivative of k(w). Factor b(i). 2*(i + 1)*(i + 7)**2/5 Factor 0 + 745/2*o**3 + 190*o**2 + 5/2*o + 185*o**4. 5*o*(o + 1)**2*(74*o + 1)/2 Let n(m) be the first derivative of 4*m**3/21 - 6*m**2/7 - 352*m/7 - 1470. Let n(r) = 0. Calculate r. -8, 11 Let p = 1288862/15 - 85924. Factor 0 + 2/15*u**5 - p*u**2 + 2/15*u**4 + 0*u - 2/15*u**3. 2*u**2*(u - 1)*(u + 1)**2/15 Let p(j) = 2*j**2 + 11*j + 11. Let l be p(-5). Let q(k) be the first derivative of -3/4*k**4 - 23 - 12*k - 27/2*k**2 - l*k**3. Find y such that q(y) = 0. -4, -1 Let r be ((-72)/468)/(1/(-13)). Solve 60*i + 65 - 37*i**r + 70*i**2 - 38*i**2 = 0 for i. -1, 13 Let z be 8/(-7) + (-128)/256*(-106)/28. Factor -69/4*k - 33/4 - 39/4*k**2 - z*k**3. -3*(k + 1)**2*(k + 11)/4 Let u(r) be the third derivative of r**6/480 + r**5/12 + 83*r**4/96 - 13*r**3/3 - 1857*r**2. Factor u(n). (n - 1)*(n + 8)*(n + 13)/4 Let a = -407 + 416. Factor 13*n - a*n**2 + 13*n**2 + 3*n. 4*n*(n + 4) Let t(z) = 2 - 7 - 10 - 5*z - 4*z - 11 + 2*z**2. Let d be t(-2). Factor 3/7*s**4 - 3/7*s**5 + d + 0*s**2 + 0*s + 0*s**3. -3*s**4*(s - 1)/7 Factor 380250 + 780*l + 2/5*l**2. 2*(l + 975)**2/5 Let i = -193467 - -193470. Factor -1/3*o**4 + 5 - 28/3*o + 4/3*o**i + 10/3*o**2. -(o - 5)*(o - 1)**2*(o + 3)/3 Let t be (-1)/(6*60/(-54)) + 216/135. Determine b so that t*b - 1/4*b**2 + 9/2 = 0. -2, 9 Let -128*i**3 + 136*i + 4*i**5 - 8257*i**4 - 8440*i**4 - 12*i - 120*i**2 + 16817*i**4 = 0. What is i? -31, -1, 0, 1 Let l(c) be the second derivative of 0*c**2 + 39*c - 1 + 1/70*c**5 - 1/14*c**4 + 2/21*c**3. Determine f, given that l(f) = 0. 0, 1, 2 Let j be 6 + (7590/255)/(9/(-2)). Let m = 18/17 + j. Factor -2/9*x**5 + m*x**4 + 0 - 4/9*x**2 + 0*x**3 + 2/9*x. -2*x*(x - 1)**3*(x + 1)/9 Factor -14/3*f + 7/6*f**3 - 16*f**2 + 0. f*(f - 14)*(7*f + 2)/6 Let j(p) = -3*p**2 + 10639*p + 14108672. Let m(i) = 8*i**2 - 31914*i - 42326016. Let d(u) = -14*j(u) - 5*m(u). Determine n so that d(n) = 0. -2656 Suppose -77*a**4 + 138*a**2 + 63*a + 17*a**3 + 162*a**4 + 7*a + 49*a**3 - 87*a**4 = 0. What is a? -1, 0, 35 Let m = -3184/3 - -1062. Let c = -5/21 + 4/7. Factor 1/3*d**2 + c - m*d. (d - 1)**2/3 Factor 306/5*v**2 - 132/5*v**3 + 87/5 + 3*v**4 - 276/5*v. 3*(v - 1)**3*(5*v - 29)/5 Let q(g) be the third derivative of 0 - 1/100*g**5 + 0*g - 28*g**2 - 6/5*g**3 - 7/40*g**4. What is a in q(a) = 0? -4, -3 Suppose 3*q - 8 = 1. Let z = 117 - 114. Let 48*p**2 - 40*p**2 - 8*p**4 - 4*p**5 + 4*p - 3*p**z + q*p**3 = 0. What is p? -1, 0, 1 Let j(l) be the third derivative of 4489*l**6/3060 + 67*l**5/255 + l**4/51 - 37*l**3/2 + 47*l**2. Let r(d) be the first derivative of j(d). Solve r(z) = 0. -2/67 Let n(q) be the third derivative of -q**5/80 + 3*q**4/4 + 45*q**3/2 - 490*q**2. Factor n(i). -3*(i - 30)*(i + 6)/4 Factor 42*d**2 + 150 - 38 - 152*d - 28*d**2 + 72*d**3 + 230*d**2 + 440*d + 4*d**4. 4*(d + 1)**2*(d + 2)*(d + 14) Let r be (1 - -1) + 0 - (-1 + 2). Let q = -18 + 23. Let f(d) = d - 1. Let v(g) = 3*g**2 + 19*g + 53. Let i(p) = q*f(p) + r*v(p). What is u in i(u) = 0? -4 Let z(l) be the second derivative of -l**4/66 + 131*l**3/33 - 130*l**2/11 + 74*l + 10. Factor z(f). -2*(f - 130)*(f - 1)/11 Let w be 1183/(-52)*(-4)/(-1). Let v = w + 93. Find b such that -81 - 4*b + 89 + 0*b**v - 4*b**2 = 0. -2, 1 Let g = 1156081/7 + -165147. Solve 20/7*w**2 - g*w + 4 + 4/7*w*
{ "pile_set_name": "DM Mathematics" }
*s - 143 - 13*s as k*s + t and give k. -6 Express (-19*g + 29*g - 9*g)*(2 + 0 - 3)*(-18 - 5 + 10)*(8 - 1 - 4) in the form t + u*g and give u. 39 Express 152 - 3*h**2 - 33 - 83 + h**2 + 2*h + h**3 as l*h + s + q*h**3 + m*h**2 and give s. 36 Express -j**2 + j**2 - 4*j**2 + (0*j + 2*j + 0*j)*(388 + 395 - 810)*(-23 + 30 + 20)*(-3*j + 3*j - 2*j) in the form m*j + b + t*j**2 and give t. 2912 Express -1 + 21*q + 2046*q**2 - 1024*q**2 - 1005*q**2 - 10*q as o + i*q**2 + g*q and give o. -1 Rearrange -1208*k + 133*k - 1192*k + 507*k to j + f*k and give j. 0 Express (-30*x**2 + 936*x**2 + 163*x**2 + 311*x**2)*((1 + 4 - 4)*(1 - 2 + 3) + 3 + 2 - 3 - 1 + 2 - 3) in the form j*x**2 + b + n*x and give j. 2760 Express (w + 13 - 13)*(7*w + 101*w - 28*w)*(-1 + 3 + 1) as g + m*w**2 + d*w and give m. 240 Express 2*j**2 + 3*j**2 + 4 - 8*j**2 + 169*j**3 + 19 + 52*j - 167*j**3 as h*j + c + i*j**3 + v*j**2 and give v. -3 Rearrange -2 + 116*x**3 - 65*x**3 + 16*x**3 + 169*x**3 - 2*x to the form l*x + h + y*x**2 + r*x**3 and give r. 236 Rearrange (5 + 8 + 8*x**3 - 11)*(-29*x - 24*x - 4*x)*(-7 - 6 - 1) to t*x**4 + j*x + n*x**3 + u + r*x**2 and give u. 0 Express (3*o - 2*o - 2661 + 3507)*((-3 + 5 - 6)*(-1 - 1 + 1) + (-2 + 0 + 1)*(-2 - 3 + 6)) as x*o + v and give x. 3 Express 2934 - 1472 - o + 3517 + 1738 + 1458 as g*o + x and give x. 8175 Express 27*u + 0*u - 9*u + (13 - 6 + 4)*(-u + 2*u - 4*u) in the form v + r*u and give r. -15 Rearrange -16*y - y + 2716 + 7*y + 6*y to the form k + c*y and give k. 2716 Rearrange (12*q - 21*q + 39*q + 21*q)*(0 + 4 - 2) + 33 - 58 + 14 - 9*q to m*q + j and give j. -11 Rearrange (-139*c**2 + 669*c - 669*c)*(1889 - 1889 - 58*c - 487*c) to y*c + r*c**2 + o*c**3 + l and give r. 0 Express -405 - 9*f + 90 + 183 + 107 + 148 in the form j + v*f and give v. -9 Express 44*k + 13*k**2 - 103*k + 82*k + 0*k**3 + 2*k**3 + 7*k**3 as n*k**3 + w + o*k**2 + q*k and give n. 9 Express (115 - 115 + 14*l + (0 + 3 - 2)*(232*l + 71696 - 71696))*(-2 + 2 + 2*l) in the form q*l**2 + g*l + b and give q. 492 Express (0 + 2*h + 0)*(-5 + 5 - 2*h) + 3*h**2 + 6 - 6 - 417*h**2 + 2368*h**2 + 0*h + 2691*h**2 + 7*h - 7*h in the form r + k*h**2 + a*h and give a. 0 Express 10772*j - 6*j**2 - 5388*j + 1 - 5390*j as r + n*j**2 + l*j and give l. -6 Rearrange 11853*b - 11826*b + 4 + 14 to s*b + v and give v. 18 Rearrange (-91 + 58 + 48)*(-3 + 1 + 0)*(-6*j + 3*j - 3*j) + 22*j - 3 + 27*j - 52*j to n + g*j and give n. -3 Rearrange 6*i**2 - 3151*i - 3155*i + 6309*i + 6 + 0*i**2 - 4*i**2 to a + p*i**2 + f*i and give f. 3 Rearrange (3 - b - 3)*(-6*b**3 + b**3 + 0*b**3) - 295 + 295 - 35*b**4 + b**4 - 32*b + 32*b to the form h*b**2 + q*b**3 + d*b**4 + j*b + g and give d. -29 Rearrange 130*c - 56*c + 36*c**2 - 74*c - 17 + 75*c**2 to the form u*c + o + z*c**2 and give z. 111 Rearrange 16 + 116*i**2 + 5 + 7 - 27 + 4*i to k*i**2 + j*i + m and give j. 4 Rearrange -3708*g - 29181 + 29181 to the form j + d*g and give j. 0 Express 7436*x + 8366*x + 1535*x as b*x + c and give b. 17337 Express 4497 - 2381*s - 8996 + 4499 as y*s + v and give y. -2381 Express -27990*u**2 + 10594*u**2 - 13572*u**2 as r + q*u**2 + g*u and give q. -30968 Express (-1110*k**2 + 218*k**2 - 2 + 471*k**2 + 2*k)*(-2*k**2 + 2*k**2 + 2*k**2) as y + i*k**3 + b*k + g*k**4 + a*k**2 and give a. -4 Rearrange 1605*r + 688*r**2 + 2 - 557*r - 561*r - 491*r to j*r**2 + p*r + t and give t. 2 Express (-4*k + 2*k + 4*k)*(-1483*k**2 - 1052396*k + 1052396*k) - 2*k**3 + 5*k**3 - 4*k**3 as c*k**3 + s*k**2 + o + p*k and give c. -2967 Rearrange -3791*a**3 - 1611*a + 3790*a**3 - 2 + 7*a**2 - 4*a**2 - 3*a**2 to w*a**2 + z + x*a**3 + q*a and give x. -1 Express g**3 + 2 + 2257*g**4 - 1120*g**4 - 1139*g**4 + 2*g + 5*g**2 in the form m*g + r*g**4 + n + p*g**3 + v*g**2 and give v. 5 Express -13635 - 1008*n + 13635 + (-2*n + 0 + 0)*(1 + 2 - 2) as d + w*n and give w. -1010 Express (-1 - a + 1)*(-136*a + 695 + 61*a - 704 + 65*a) in the form s*a**2 + y*a + n and give y. 9 Express (1 + 0 + 1)*(-3 + 2 + 0)*(f**3 - 3*f**3 - 6*f**3) + (6*f**2 + 9*f**2 - 3*f**2)*(-7*f - 3*f + 8*f) in the form j*f**2 + o + d*f + w*f**3 and give w. -8 Rearrange -17*l + 2*l**2 + 36 - 46 + 46 to c*l + m*l**2 + y and give m. 2 Rearrange l**4 - 39*l - 74 + 16*l**2 - 4*l**2 + 106*l - 34*l - 35*l to the form f*l**2 + q*l**3 + j*l**4 + v*l + m and give m. -74 Express (0 - 1 + 2)*(-3 + 7 - 3)*(278*g + 159*g - 120 + 119) as q + f*g and give f. 437 Express (-3 - 9 + 7)*(5*y**2 - 4*y**2 + 2*y**2 + (-2*y**2 + 4*y**2 + 0*y**2)*(0 - 3 + 2) + 240*y - 240*y + 156*y**2) as s*y + u*y**2 + o and give u. -785 Express (4 + 4 - 5)*(1 + 4 - 4)*(-119*l + 33*l - 171*l) as u*l + j and give u. -771 Express 257*w**3 + 3313 - 7*w - 3312 + 4*w in the form y*w + j*w**3 + h*w**2 + l and give j. 257 Rearrange (-52 + 114 - 55)*(3*c - 2*c - 3*c + (-2*c - 5 + 5)*(0 + 0 - 2) + 4*c - c - c - 2 - c + 4 - 5) to the form z*c + d and give d. -21 Express 561*c - 242*c - 691*c - 903*c - c**3 in the form d*c**3 + g*c**2 + u*c + r and give u. -1275 Express -2 + 335*b**2 - 586*b**2 + 1916*b**3 + 251*b**2 as d + v*b + c*b**3 + k*b**2 and give c. 1916 Rearrange (-b**2 + b**2 + 6*b**3)*(5170*b - 2577*b - 4018*b) to p*b**4 + a + v*b**2 + h*b + o*b**3 and give v. 0 Rearrange 1260*r**2 + 2368 + 2469*r**2 - 2368 to the form k*r + a + n*r**2 and give n. 3729 Express -5 - 23734*r**2 + 65*r**3 + 23738*r**2 + 5 as t*r**2 + u*r**3 + i*r + w and give t. 4 Express (0 + 1 - 3)*(4*f - 4*f - f**2)*((-f - 9 + 9)*(-5 + 4 - 7) - 6 - f + 6)*(-8*f + 73 - 73) as j*f**2 + a*f**3 + v*f + w + c*f**4 and give c. -112 Rearrange (h - 5*h + 3*h)*(h**2 + 661625 - 3*h**2 - 10*h**3 - 661644) to the form s*h**4 + f*h + m*h**2 + c*h**3 + b and give s. 10 Express (-52*t + 151 - 151)*(0*t**2 + t**2 + t**2) + 2*t + t + 3*t + 5*t**3 as c*t + l*t**3 + n*t**2 + a and give l. -99 Rearrange 2334*k**2 - 108*k**2 + 2291*k**2 - 436*k**2 to a*k**2 + r + o*k and give a. 4081 Rearrange -6*c**3 + 16*c**3 + 53*c**3 + (-5*c**2 + 0*c**2 + 4*c**2)*(173 - 173 + 23*c) to the form q*c + l*c**2 + z + k*c**3 and give q. 0 Express -21453 - 6*b + 10288 + 10698 as g + v*b and give v. -6 Rearrange -3*b**3 + b**3 - 2278*b + 2268*b - 410*b**2 + 4*b**3 - 12*b**2 to j*b**3 + a*b + r + q*b**2 and give r. 0 Express -2*h**2 - 107*h**4 - 675 + 164 - 17*h**3 + 173 + 171 + 165 as y*h**2 + j*h**4 + x + f*h**3 + g*h and give g. 0 Rearrange (-1362 - 608 + 875)*(3 - 4 + 0)*(3 - 3 + m) to b*m + h and give b. 1095 Express (-4*v + 12*v + 2*v)*(87*v + 58*v + 3 + 43*v) in the form j*v + f + p*v**2 and give p. 1880 Express -6 + 370 - 20*o + 54 + 13 in the form f + a*o and give a. -20 Rearrange (315 - 48 - 36)*(16*z**2 + 75*z**2 + 12*z**2) to c*z**2 + d + n*z and give c. 23793 Express 2*q**3 + 614596*q - 605330*q + 0*q**3 - 2*q**2 in the form y*q**3 + x*q**2 + j*q + r and give y. 2 Express 3*k - 3*k - 3*k + (1 - 1 - k)*(2 - 2 + 1) - 88 - 67 + 190*k + 157 in the form r*k + y and give r. 186 Rearrange 77*c - 45 + 38 + 19 + 17 to the form i*c + q and give i. 77 Express (-4*c + 2*c + 0*c)*(-1238*c + 1085*c - 2252*c + (-3 + 5 + 0)*(-3*c + 5*c + 0*c)) as f*c**2 + s*c + m and give f. 4802 Express 18305368*j**2 + 2043*j - 280*j - 18305375*j**2 in the form d*j + k + b*j**2 and give d. 1763 Express (-153 + 105 - 208)*(4*w - w - 5*w) + 0*w - 3*w + w in the form y + o*w and give y. 0 Rearrange (-2 + 1 + 0)*(1 + h - 1) - 563*h - 725*h - 2630*h - 935*h to the form d*h + r and give d. -4854 Express -50290*f + 7*f**3 - 50398*f + 100398*f as j*f + y*f**2 + u + l*f**3 and give l. 7 Express 11287*j - 6168*j - 6 - 6008*j + (3*j + 3*j - 4*j)*(2 + 2 - 2) - j + j + 2*j - j - j + 0*j + (2*j - 3*j - 3*j)*(-2 + 0 + 1) as d*j + o and give d. -881 Express (882 - 252 + 984 + 706 - 135 + 168)*(3*l + 5*l - 3*l) in the form b*l + d and give d. 0 Rearrange -k**4 - 386*k**3 - 2 + 389*k**3 - 72*k + 2 to l*k**3 + m + o*k**2 + q*k**4 + c*k and give c. -72 Express (4 + 0 - 2)*(2 - 2 + 2)*(5 - 2 + 3)*(7 - 9 + 3084*m - 3090*m + 367*m**2) in the form d*m**2 + a + r*m and give r. -144 Rearrange (-3 + 0 + 2)*(0*t**3 - t**3 - t**3) + 1178*t**3 - 1586*t**3 - 4665*t**3 to the form v + j*t**2 + h*t**3 + b*t and give h. -5071 Rearrange -110*c + 34*c + 587*c**2 + 37*c + 39*c to the form p*c**2 + a*c + d and give p. 587 Rearrange -9*r - 39*r - 78*r - r + 6
{ "pile_set_name": "DM Mathematics" }
ctor of 7683939 and 7533? 279 What is the greatest common factor of 23656752 and 40? 8 Calculate the greatest common factor of 1257333 and 462. 231 Calculate the highest common divisor of 127696483 and 667. 667 What is the highest common factor of 67318 and 46366? 194 Calculate the highest common factor of 5762400 and 70. 70 Calculate the greatest common factor of 2164195 and 221815. 5995 What is the greatest common divisor of 2490336 and 36? 36 Calculate the greatest common factor of 20703794 and 381. 127 What is the highest common factor of 226766470 and 14? 14 Calculate the greatest common factor of 3640908 and 5808. 12 Calculate the greatest common factor of 203192002 and 7878. 2626 Calculate the greatest common divisor of 721639633 and 1859. 1859 Calculate the greatest common factor of 280665 and 18095. 385 What is the greatest common divisor of 127348 and 5252? 52 What is the greatest common divisor of 1192663 and 4870? 487 What is the greatest common factor of 80025 and 100? 25 Calculate the greatest common divisor of 22 and 180875211. 11 Calculate the highest common divisor of 941424 and 27038. 22 Calculate the greatest common divisor of 1763 and 136981. 41 What is the greatest common factor of 318200 and 330240? 1720 Calculate the greatest common divisor of 116 and 111163003. 29 What is the greatest common divisor of 10266 and 3681246? 354 What is the greatest common divisor of 10044 and 27900? 1116 Calculate the greatest common factor of 695075 and 150. 25 What is the greatest common factor of 416836250 and 19000? 4750 Calculate the highest common factor of 2128 and 1205968. 304 Calculate the highest common divisor of 106 and 585958. 2 What is the highest common factor of 322 and 750806? 14 Calculate the highest common divisor of 27512 and 73752. 8 Calculate the highest common factor of 676962 and 50688. 198 Calculate the greatest common factor of 16 and 143743680. 16 What is the greatest common factor of 484724436 and 28? 28 What is the greatest common factor of 104 and 342959888? 8 What is the greatest common divisor of 22187 and 6428179? 2017 What is the greatest common divisor of 2456541 and 5883? 111 What is the highest common divisor of 5838282 and 3096? 774 Calculate the greatest common factor of 1703793 and 2149. 7 Calculate the highest common divisor of 1404 and 29164941. 351 What is the highest common divisor of 27344703 and 2? 1 Calculate the greatest common divisor of 838396 and 559. 13 What is the greatest common factor of 3220 and 36774010? 1610 What is the greatest common divisor of 129306 and 175191? 69 What is the highest common factor of 46560856 and 2097? 233 What is the greatest common divisor of 9030 and 311507910? 9030 What is the greatest common divisor of 281905248 and 5676? 516 What is the greatest common divisor of 135245946 and 528? 66 What is the greatest common factor of 98 and 724178? 14 What is the highest common factor of 413829 and 47291? 131 What is the highest common divisor of 48989985 and 660? 165 What is the greatest common factor of 15012 and 1155646? 278 What is the highest common factor of 387296 and 11721632? 7904 What is the highest common factor of 1426843 and 1881? 209 Calculate the highest common factor of 24924 and 46626573. 6231 Calculate the greatest common divisor of 564815 and 581. 83 What is the highest common divisor of 8109784 and 2712? 904 What is the highest common factor of 61288380 and 4185? 135 What is the highest common factor of 10065 and 12799325? 3355 Calculate the highest common divisor of 310 and 3029220. 10 Calculate the greatest common factor of 1049750 and 76950. 950 What is the highest common divisor of 7095 and 1922573? 43 What is the highest common factor of 4614777 and 24? 3 Calculate the greatest common factor of 490 and 403855060. 490 Calculate the greatest common factor of 209170078 and 182. 26 Calculate the greatest common factor of 714 and 3508834. 238 Calculate the highest common divisor of 1126959 and 2832. 177 What is the greatest common factor of 1615785579 and 9? 9 What is the highest common divisor of 36465 and 11660385? 2805 What is the greatest common divisor of 2040 and 21143886? 102 What is the greatest common factor of 1445906 and 495? 11 What is the greatest common divisor of 30 and 96935015? 5 What is the greatest common factor of 350325 and 1317465? 405 What is the greatest common divisor of 5 and 104083570? 5 Calculate the highest common factor of 1308 and 2716062. 654 What is the greatest common factor of 39321 and 20529931? 4369 What is the greatest common divisor of 62282 and 255607? 209 What is the greatest common factor of 52 and 164161621? 13 Calculate the highest common divisor of 56 and 95657044. 28 What is the highest common factor of 12218722 and 74816? 334 Calculate the greatest common divisor of 1806 and 67461786. 42 Calculate the highest common factor of 698160 and 1728. 48 What is the highest common divisor of 123960 and 12096? 24 What is the highest common divisor of 75267533 and 11? 11 What is the highest common divisor of 583665 and 23340? 15 What is the highest common factor of 336 and 3367518? 42 What is the highest common factor of 154824708 and 1? 1 Calculate the greatest common factor of 47941594 and 906. 302 What is the highest common factor of 17318587 and 33? 11 What is the greatest common divisor of 121241174 and 949? 73 What is the highest common divisor of 905355 and 4189? 59 What is the highest common divisor of 74505 and 12555? 15 What is the highest common divisor of 11172843 and 2475? 99 What is the greatest common divisor of 457896 and 360? 24 Calculate the highest common divisor of 1510197 and 3068. 13 Calculate the greatest common divisor of 85568 and 733376. 448 Calculate the highest common divisor of 14600 and 120597825. 1825 Calculate the highest common factor of 49 and 2405557. 49 Calculate the highest common divisor of 334287350 and 1189. 1189 What is the greatest common divisor of 583389 and 30969? 837 Calculate the highest common factor of 10257178 and 772. 386 Calculate the highest common factor of 24384 and 310704. 48 Calculate the greatest common factor of 975450 and 294. 42 Calculate the greatest common factor of 912863432 and 312. 104 What is the highest common factor of 1553729212 and 1564? 1564 Calculate the greatest common factor of 26438298 and 2123. 193 What is the highest common divisor of 4814 and 3207452? 166 What is the greatest common divisor of 515790552 and 7008? 1752 What is the highest common divisor of 86 and 2954706257? 43 Calculate the highest common factor of 1715 and 487540. 5 Calculate the greatest common divisor of 34368 and 699456. 192 Calculate the greatest common divisor of 35833 and 47173. 7 Calculate the highest common factor of 21771 and 4543767. 531 Calculate the greatest common divisor of 91728 and 50256. 144 What is the highest common divisor of 2541868 and 56? 28 Calculate the greatest common divisor of 2902536 and 16038. 18 Calculate the greatest common factor of 28 and 15391124. 28 What is the highest common divisor of 258 and 54124487? 43 Calculate the greatest common divisor of 44736 and 105792. 192 What is the highest common factor of 192334648 and 176? 88 Calculate the greatest common factor of 3670 and 1459547990. 3670 What is the greatest common divisor of 55387 and 6511684? 571 Calculate the greatest common divisor of 63392 and 206. 2 Calculate the greatest common factor of 261560359 and 1. 1 What is the highest common divisor of 361246438 and 3202? 3202 What is the highest common divisor of 18358733 and 917? 131 Calculate the highest common factor of 1610583 and 43328. 677 Calculate the highest common divisor of 7773465 and 1417535. 3535 What is the greatest common divisor of 875165650 and 38? 38 Calculate the greatest common factor of 56856 and 25668. 276 What is the highest common divisor of 8354 and 678399101? 4177 What is the highest common divisor of 28763 and 17528? 7 What is the highest common divisor of 1248666510 and 41496? 10374 What is the greatest common divisor of 130 and 881188685? 65 Calculate the highest common factor of 1537 and 1231833. 29 Calculate the highest common divisor of 34 and 43077762. 34 Calculate the highest common factor
{ "pile_set_name": "DM Mathematics" }
9, -162976? 128*m**2 + m - 166181 What is the c'th term of -1300, -4133, -8426, -14173, -21368, -30005, -40078, -51581? c**3 - 736*c**2 - 632*c + 67 What is the n'th term of -3162743, -3162717, -3162691, -3162665, -3162639, -3162613? 26*n - 3162769 What is the p'th term of 26219, 25995, 25581, 24977, 24183, 23199, 22025? -95*p**2 + 61*p + 26253 What is the x'th term of -4746645, -4746575, -4746505, -4746435? 70*x - 4746715 What is the b'th term of 4024, 31877, 107456, 254623, 497240? 3977*b**3 + b**2 + 11*b + 35 What is the z'th term of 231476, 462940, 694404, 925868, 1157332, 1388796? 231464*z + 12 What is the u'th term of -6439, -12813, -19111, -25297, -31335, -37189? 6*u**3 + 2*u**2 - 6422*u - 25 What is the u'th term of -8417, -17418, -26419, -35420, -44421, -53422? -9001*u + 584 What is the c'th term of -435936, -3487410, -11769974, -27899172, -54490548, -94159646? -435924*c**3 - c**2 - 3*c - 8 What is the h'th term of 78328, 78326, 78348, 78406, 78512, 78678, 78916? 2*h**3 - 16*h + 78342 What is the m'th term of 31571, 32189, 32807, 33425, 34043, 34661? 618*m + 30953 What is the l'th term of 465818, 465812, 465806, 465800, 465794? -6*l + 465824 What is the s'th term of -6076, -6052, -6164, -6418, -6820, -7376, -8092, -8974? -s**3 - 62*s**2 + 217*s - 6230 What is the l'th term of -3034, -6456, -9866, -13264? 6*l**2 - 3440*l + 400 What is the l'th term of 6137, 25903, 59275, 106247, 166813, 240967? -l**3 + 6809*l**2 - 654*l - 17 What is the w'th term of -1430921, -1430920, -1430921, -1430924? -w**2 + 4*w - 1430924 What is the x'th term of 636526, 1273255, 1909984, 2546713, 3183442, 3820171? 636729*x - 203 What is the m'th term of -2992185, -11968739, -26929663, -47874957, -74804621? -2992185*m**2 + m - 1 What is the g'th term of 1597, 5594, 12253, 21574, 33557, 48202, 65509? 1331*g**2 + 4*g + 262 What is the p'th term of 10631, 20786, 30939, 41090, 51239? -p**2 + 10158*p + 474 What is the m'th term of 669390, 2678036, 6025932, 10713072, 16739450? -m**3 + 669631*m**2 - 240*m What is the r'th term of -39683666, -39683665, -39683662, -39683657, -39683650, -39683641? r**2 - 2*r - 39683665 What is the o'th term of -666246, -1332480, -1998714, -2664948, -3331182? -666234*o - 12 What is the o'th term of -1311746, -2623512, -3935278? -1311766*o + 20 What is the o'th term of -7189, -7349, -7785, -8635, -10037, -12129? -23*o**3 + o - 7167 What is the c'th term of 8003, 16016, 24061, 32150, 40295, 48508? 2*c**3 + 4*c**2 + 7987*c + 10 What is the n'th term of 2287012, 2287023, 2287040, 2287063, 2287092? 3*n**2 + 2*n + 2287007 What is the j'th term of -6554, -6555, -6646, -6881, -7314, -7999, -8990? -9*j**3 + 9*j**2 + 35*j - 6589 What is the o'th term of -162259706, -324519415, -486779126, -649038839? -o**2 - 162259706*o + 1 What is the n'th term of 49669457, 49669460, 49669463, 49669466, 49669469? 3*n + 49669454 What is the r'th term of -3014, -5516, -7944, -10256, -12410, -14364, -16076? 7*r**3 - 5*r**2 - 2536*r - 480 What is the l'th term of 12954, 28984, 45032, 61104, 77206, 93344? l**3 + 3*l**2 + 16014*l - 3064 What is the i'th term of 355148, 355396, 355644, 355892, 356140, 356388? 248*i + 354900 What is the s'th term of -3492, -3191, -2892, -2595, -2300? -s**2 + 304*s - 3795 What is the f'th term of -20447735, -20447736, -20447737? -f - 20447734 What is the x'th term of -13805, -13661, -13435, -13085, -12569, -11845? 7*x**3 - x**2 + 98*x - 13909 What is the l'th term of -756941, -3027807, -6812595, -12111305? -756961*l**2 + 17*l + 3 What is the d'th term of -1431, -1535, -1709, -1953, -2267, -2651? -35*d**2 + d - 1397 What is the k'th term of 349399, 698810, 1048271, 1397788, 1747367? k**3 + 19*k**2 + 349347*k + 32 What is the c'th term of -589350, -589378, -589432, -589524, -589666? -2*c**3 - c**2 - 11*c - 589336 What is the v'th term of 133216, 133266, 133410, 133696, 134172, 134886, 135886, 137220? 8*v**3 - v**2 - 3*v + 133212 What is the l'th term of -6897727, -6897729, -6897731, -6897733, -6897735? -2*l - 6897725 What is the y'th term of 109276, 217862, 326448, 435034, 543620, 652206? 108586*y + 690 What is the f'th term of 236038, 235254, 234470, 233686, 232902, 232118? -784*f + 236822 What is the w'th term of 219, 2174, 8093, 20154, 40535, 71414, 114969, 173378? 363*w**3 - 196*w**2 + 2*w + 50 What is the n'th term of -76560, -304614, -684704, -1216830, -1900992, -2737190, -3725424? -76018*n**2 - 542 What is the g'th term of -457531, -457496, -457463, -457432, -457403, -457376, -457351? -g**2 + 38*g - 457568 What is the w'th term of -7930, -7392, -6852, -6310? w**2 + 535*w - 8466 What is the c'th term of -2671, -2279, -1185, 959, 4501? 58*c**3 + 3*c**2 - 23*c - 2709 What is the n'th term of 11268, 89816, 302942, 717942, 1402112? 11216*n**3 - 7*n**2 + 57*n + 2 What is the c'th term of -420835, -420821, -420807, -420793, -420779? 14*c - 420849 What is the i'th term of 27767, 110564, 248383, 441224, 689087? 27511*i**2 + 264*i - 8 What is the z'th term of 684, 657, 614, 549, 456? -z**3 - 2*z**2 - 14*z + 701 What is the o'th term of 10637, 10673, 10709, 10745? 36*o + 10601 What is the p'th term of -3694, -2932, -1710, -28, 2114, 4716, 7778? 230*p**2 + 72*p - 3996 What is the f'th term of 1141, 1172, -991, -6446, -16291? -183*f**3 + f**2 + 1309*f + 14 What is the i'th term of 6380, 7446, 8512, 9578? 1066*i + 5314 What is the u'th term of -34224335, -34224336, -34224339, -34224344, -34224351, -34224360, -34224371? -u**2 + 2*u - 34224336 What is the b'th term of 30442, 33933, 37410, 40867, 44298, 47697, 51058, 54375? -b**3 - b**2 + 3501*b + 26943 What is the r'th term of 19336, 141778, 474114, 1121290, 2188252, 3779946? 17491*r**3 + r**2 + 2*r + 1842 What is the n'th term of -941, -1739, -3893, -8081, -14981? -113*n**3 - 7*n - 821 What is the z'th term of 3063, 2534, 2033, 1560, 1115, 698, 309? 14*z**2 - 571*z + 3620 What is the j'th term of 422, -389, -1736, -3619, -6038, -8993, -12484? -268*j**2 - 7*j + 697 What is the k'th term of -126931, -507692, -1142279, -2030692, -3172931, -4568996? -126913*k**2 - 22*k + 4 What is the v'th term of 3669, 14395, 32237, 57189, 89245, 128399, 174645? -v**3 + 3564*v**2 + 41*v + 65 What is the q'th term of -31312661, -62625314, -93937967, -125250620, -156563273, -187875926? -31312653*q - 8 What is the p'th term of -25114, -50230, -75346, -100462, -125578? -25116*p + 2 What is the d'th term of 4094, 4766, 5580, 6536, 7634, 8874, 10256? 71*d**2 + 459*d + 3564 What is the f'th term of 12762, 45306, 99546, 175482, 273114, 392442, 533466? 10848*f**2 + 1914 What is the l'th term of 92653, 185322, 277991, 370660, 463329, 555998? 92669*l - 16 What is the z'th term of 11882, 47102, 105844, 188108, 293894, 423202, 576032? 11761*z**2 - 63*z + 184 What is the f'th term of -989175, -1978317, -2967459, -3956601? -989142*f - 33 What is the p'th term of 73910, 74377, 74844, 75311? 467*p + 73443 What is the y'th term of -4475, -4687, -4923, -5195, -5515? -2*y**3 - 198*y - 4275 What is the z'th term of 56437161, 56437167, 56437173, 56437179, 56437185? 6*z + 56437155 What is the w'th term of 11529, 11496, 11403, 11220, 10917, 10464? -5*w**3 + 2*w + 11532 What is the o'th term of -8271505, -8271502, -8271499? 3*o - 8271508 What is the u'th term of -858, -6190, -15070, -27498, -43474, -62998? -1774*u**2 - 10*u + 926 What is the s'th term of 520229, 520228, 520227, 520226, 520225? -s + 520230 What is the g'th term of -1061313, -1061341, -1061369, -1061397? -28*g - 1061285 What is the h'th term of -3112, -12965, -29372, -52333? -3277*h**2 - 22*h + 187 What is the o'th term of -92516, -92548, -92486, -92282, -91888? 8*o**3 - o**2 - 85*o - 92438 What is the w'th term of 237809127, 237809116, 237809091, 237809046, 237808975, 237808872? -w**3 - w**2 - w + 237809130 What is the j'th term of -17936, -17895, -17758, -17477, -17004, -16291? 8*j**3 - 15*j - 17929 What is the x'th term of -7132, -4674, -2238, 164, 2520, 4818, 7046, 9192? -2*x**3 + x**2 + 2469*x - 9600 What is the r'th term of -3472, -13252, -29294, -51598, -80164, -114992, -156082? -3131*r**2 - 387*r + 46 What is the k'th term of 8767, 9517, 10765, 12511, 14755, 17497? 249*k**2 + 3*k + 8515 What is the s'th term of -1753, -279, 1257, 2885, 4635, 6537, 8621? 5*s**3 + s**2 +
{ "pile_set_name": "DM Mathematics" }
14) + (75 + 1 - 7). 53 Calculate (-64 - -13) + (-4 - 1) - (-1 - -7 - 15). -47 Evaluate 149 + -130 + 131 + (-6 - 9 - 0). 135 What is the value of (-1 - -39) + -18 + (1 - -2) + -88 + 96? 31 What is the value of -46 + (50 + 16 - -27)? 47 What is the value of 165 + 126 + (-455 - -23)? -141 Calculate 8 - ((-13 - -79) + 5 + 1 - (-12 + 4)). -72 Calculate -11 - (-18 - (12 - (-2 + 12)) - 36). 45 Calculate 242 - 279 - (10 + 1 - 48). 0 Calculate 115 + -147 + 262 + -125. 105 -38 + 16 + 78 - 87 -31 What is 69 + (137 - 218 - -89) + 0 + 1 + 0? 78 Evaluate 104 + -143 - (13 - 37). -15 Calculate 134 + (29 - 125) - (-2 + -23). 63 162 - (103 + -91 - -101) 49 What is (-2 - -11) + -5 + (54 - 3) - -14? 69 What is the value of -62 + (-2 - -13) + -6 + 7? -50 What is (-12 - 43) + 66 + -18 + -80? -87 Evaluate -12 - (313 - 467 - (-13 - 5)). 124 Calculate -21 - (10 - (-41 + 57)). -15 Evaluate (-1 - -2) + (29 - (6 + 23)) + -61. -60 Evaluate (0 - (-2 + -1)) + 6 + (-117 + 37 - -133). 62 What is the value of 122 + (-44 + 28 - -36) + -36? 106 What is -10 + 19 - -4 - (49 - 1)? -35 Calculate 4 - (79 + -2 - 40). -33 Calculate 16 - 47 - (-19 + 9). -21 Calculate -38 + 17 + 9 + (-3 - -8) - 16. -23 ((-7 - -34) + -45 - -32) + (-1 - -13) 26 What is (-114 - -98) + (-1 - -24) - (2 - -2 - -3)? 0 Evaluate (-5 - -24) + 10 + -17 + -5 + -12. -5 What is (-3 + 0 - -17) + -2 - 3? 9 What is 127 - 226 - -158 - (36 + 1)? 22 What is the value of (-2 - -1) + -2 + 11 + (5 - (-40 + -76))? 129 What is the value of (-1 - 5) + -3 - (51 + -63 + -20)? 23 Calculate -4 + -9 + (-1 - -76 - (-353 + 322)). 93 8 + -2 + (-8 - (-8 - (3 - 5))) 4 What is the value of 48 + 0 + (27 - 57) + 19 - 3? 34 What is the value of 9 - (-7 + (33 - (-10 - -13) - -12))? -26 What is the value of 0 + -17 + 3 + -28 + 77? 35 What is the value of -260 + 252 - (3 - 3 - (47 + 2))? 41 Calculate -15 - (0 + -24 + (81 - 33)). -39 What is -33745 + 33768 - (0 - (0 + 50))? 73 What is the value of -1 + 89 + -78 - (0 + 35)? -25 What is the value of 0 + 82 - ((36 - 25) + 16 + (-12 - 5))? 72 Calculate 161 + (97 - 248) - -130. 140 What is the value of -48 + 1 + -3496 + 3501? -42 Calculate (29 - -13) + (-44 - -38) + -39. -3 What is the value of -85 - (120 - 345 - -23)? 117 What is (-77 - -61) + -5 + (-6 - -128)? 101 Evaluate (32 - 32 - (3 + -9)) + 12. 18 Calculate -17 - (-36 - (-53 + -2)). -36 Evaluate 4 + (-4 - (-34 - (8 + -30))). 12 Calculate 22 + -32 + -2 + -2 + -45 + 15. -44 Evaluate -9 - -5 - (20 - (3 - -7)) - -68. 54 What is the value of 30 + -72 + (33 - -2) + 0 + -54? -61 (-36 - 35) + -3 - -51 -23 What is -99 + 109 + -8 + 7 + (6 - 12) + -91? -88 (-10 + (9 - 3) - (-39 + -11 + -2)) + 10 58 Calculate 4 - (95 + -5 - 32) - -41. -13 What is the value of -18 + -16 + 2 + -1 + (7 - (-9 - -18))? -35 Evaluate -47 + (20 - ((-14 - -27) + -8)). -32 Evaluate -25 + 112 - (24 + -40). 103 0 + -5 + 0 + 0 - (-136 + 161) -30 Calculate (-15 - 26) + 23 + 2 + 0 + 7 + -25. -34 What is the value of -7 + (1 - 31 - -26) + 19? 8 What is the value of -151 - (11 + 30 + -77)? -115 Evaluate (21 - (-2 - -2)) + (-9 - (5 + -25)). 32 Evaluate 5 - 10 - (-23 + 9 + 59) - (32 + -34). -48 Calculate 9 + 2 - (-158 - -176 - (28 - 6)). 15 Evaluate (-15 - (103 - (21 - -11))) + 16 + -3. -73 21 + -30 - (-7 + 11 - 17) - -13 17 What is the value of (27 - (-75 + 22 + 6 - 9)) + (-1 - -15)? 97 -48 + 5 - ((233 - 253) + 24 + -1) -46 Calculate (10 - -5) + (-52 - -41) - (36 + -2). -30 Calculate 19 + 39 + (20 - 19) + 2. 61 What is the value of 85 + -1 + -130 + 86 + -62? -22 What is -30 - (-45 - (-5 + -108))? -98 Calculate 35 - (133 - -5 - (-276 - -270)). -109 What is (106 - 108) + (-1 - 1) + 7 + 17? 20 0 + (-10 - 11 - -50) 29 What is the value of 30 + 3 + (10 + -10 - 23) + 11? 21 (-35 - -2) + 14 + -8 + 0 + -15 -42 What is -14 + (-51 + 58 - (1 + (2 - 27)))? 17 7 - (6 - 11 - (-3 + 26 + -8)) 27 What is the value of -1 - -14 - (32 + -92 - -17 - 17)? 73 (14 - -81 - 87) + -36 + -2 -30 Calculate (-15 - -14) + (5 + 3 - -1) - (-45 - 5). 58 Calculate -31 - (55 + 55 + -29 + -68). -44 Calculate -106 + (13 - -36) + 35. -22 What is the value of (-235 - (-77 - 52)) + 1 + -16? -121 71 - (15 + -35 + 45) 46 Evaluate (-954 - -1055) + -7 + -7 + (-8 - -3). 82 What is the value of -14 + 55 + -23 + -2 + -67 + 12? -39 Evaluate 30 + -7 - (73 - 3) - -9. -38 What is the value of 448 + -481 + (118 - -22)? 107 -1 + 10 + (2 + -48 + 7 - -1) + -14 -43 What is -1 - 3 - (906 + -908)? -2 -15 - (-60 + -39 - (1 - 31)) 54 Evaluate 1 + 9 + 5 + 13 + -99 + 9 + 1. -61 Calculate 69 + -48 + 40 - 67. -6 Calculate -20 + 36 + (-29 - -12). -1 Evaluate (-5 - -1 - (2 + -5 + 1)) + (10249 - 10259). -12 What is the value of (-70 - -89) + (-3 - 92) + 18? -58 What is the value of (-1 - (-1 - 12)) + 13 + (76 - 104)? -3 Evaluate -76 + (18 - 44 - -12) + -16 + 14. -92 Calculate 69 - ((12 - 1) + ((-6 - -1) + 17 - 22)). 68 Calculate (5 + -7 - -3) + (-25 + 56 - 74). -42 39 - 39 - (-6 - 5 - -4 - 4) - -2 13 What is 5 + -23 - -39 - -32? 53 What is (-33 - -6 - -35 - (13 - 1) - 9) + 97? 84 Evaluate -6 + (4 + -11 - (21 + -28)). -6 Evaluate -38 + (4 + 1 - ((-10 - 0) + 23)). -46 What is the value of 93 + 8 + -84 - (101 + (2 - 1))? -85 What is the value of 1 - 0 - (5 + 22 + -30 - -24)? -20 What is the value of 12 + -5 + 15 + -8 + -30 - 3? -19 -77 + -137 + 164 + -95 -145 58 + (-24 + 50 - 26) + -9 49 Calculate 10 + (25 + -133 - -56). -42 What is the value of 9 + 27 + 5 - (14 - 4 - -6 - 15)? 40 What is the value of (-10 - -137 - -12 - 9) + (-96 - -87)? 121 What is the value of (1 - -5) + (28 - 35) + -39 + 4 - 3? -39 Evaluate 100 + -21 + (19 - 4) + -25. 69 What is the value of -21 + 2 - (88 - 67)? -40 Evaluate 5 + 9 + -381 + 366 + 1 + 100 + 0. 100 Calculate -15 + 15 + 20 + -11 + -1. 8 What is 3420 + -3482 + (4 - 2 - 18)? -78 (27 - (87 + -108)) + -56 -8 What is (7 - 8) + (-26 - (12 + 23)) + (-2 - -2)? -62 Evaluate 1 + 8 + (9 - 62 - -19) + 10. -15 What is the value of -59 + (96 + -140 - -110)? 7 Evaluate 25 - 101 - (22 - 46). -52 -1 - 1 - -50 - (68 - (-126 + 184)) 38 What is -47 + -9 + -32 + 97? 9 What is -39 + -69 - (48 + -126)? -30 Calculate 13 + (5 + -10 - (-5 + 3) - -4). 14 Calculate (20 - -50 - 55) + -91. -76 What is the value of (-104 - (3 + 0)) + (-2915 - -2940)? -82 Calculate -7 - (-7 + (-23 - -2)) - (0 + 5). 16 What is 9 + (-11 - -41) + -12 + 2 + 12 + -12? 29 What is (1 - 0) + -81 + (43 - -12)? -25 What is (4 - 1) + (9 + (2 - 20) - -23) + 8? 25 -45 + 93 + 28 + -58 18 What is the value of (35769 - 35801) + (4 - (1 + -1))? -28 What is the value of -107 + 12 + 60 + 172? 137 What is the value of 23 - ((3 - -15) + -10) - ((15 - 5) + -22)? 27 Evaluate (3637 - 3750) + 101 + -1. -13 80 + (-1 - (-6 + -1)) + (90 - (95 - -11)) 70 What is the value of (-43 - -20) + 5 + (33 - 20)? -5 Calculate (3 - (-9 - (-25 - -46))) + -108. -75 Calculate 27 - ((-1 - -114) + 315 + -320). -81 What is the value of -202 + 75 + 141 - (-3 + 3 - -7)? 7 What is 99 + (25 - (-138 + 239))? 23 Calculate (3 + (0 - 3) - -56) + (21 - -24) + -40. 61 Evaluate 23 + 36 + -22 + (11 - 10). 38 What is -58 - (-35 + 4 + -27)? 0 -30 + (-7 - -6) - (617 - 628) -20 Evaluate (83 - (7 - (-20 + 7))) + -16 - -21. 68 What is (-29 - (5 + -6)) + 32 + 27? 31 What is 11 - (-24 + ((-6 - 6) + 12 - -3))? 32 What is 4 + (5 + (-10 - -6) - -3) + 0? 8 What is 17 + -86 + (72 - -18)? 21 Calculate 65 - 14 - (11 + (-31 - -5)). 66 Calculate -7 + -1 + (-1 - -64) - (-189 - -203). 41 What is 11 - (6 - -10) - -4 - (-67 + 1)? 65 What is the value of -44 + 52 + 41 + -102? -53 (-29 - 26) + -27 + (-1 + -4 - -1) -86 Evaluate -22 - ((-53 - -7) + 27). -3 What is the value of -37 + 19 + -8 + 4 + (1 + 2 - 10)? -29 What is the value of 9 - (-1 + 50 + -88 + 67)? -19 Evaluate -5 + (4 - -5) + -31 + 7 + -12. -32 Calculate -35 - (43 + -69) - (-70 + 0 + (12 - 5)). 54 What is -60 + -10 - -122 - 41? 11 Calculate (51 - (-3 - -75)) + 49. 28 Calculate -8 + -12 - ((20 - 11) + -4 - 10). -15 Evaluate (9 + -1 + -1 - 6) + -7 - (-26 - 21). 41 (-1 - 88) + -22 + (-19 - (-44 + -9)) - -13 -64 What is 8 - (75 - (-14 - -22 - -6))? -53 What is -7 + 31 + -1 - (4 - (7 - 7))? 19 What is 388 + -402 + -2 + 24 + -3? 5 What is the value of 167 + -164 + -54 + (42 - 2)? -11 Evaluate 40 - (-147 + (104 - 7)). 90 Evaluate -13 - (-21 + 7 + -3 + (-3 - 2)). 9 What is 0 - -145 - (-9008 + 9049)
{ "pile_set_name": "DM Mathematics" }
97 is divided by 25? 22 Calculate the remainder when 2648 is divided by 34. 30 Calculate the remainder when 198 is divided by 10. 8 What is the remainder when 29 is divided by 18? 11 What is the remainder when 1214 is divided by 122? 116 What is the remainder when 1224 is divided by 7? 6 What is the remainder when 455 is divided by 111? 11 Calculate the remainder when 150 is divided by 47. 9 What is the remainder when 2729 is divided by 105? 104 What is the remainder when 423 is divided by 13? 7 What is the remainder when 1141 is divided by 52? 49 What is the remainder when 42 is divided by 22? 20 Calculate the remainder when 86 is divided by 22. 20 Calculate the remainder when 1948 is divided by 11. 1 Calculate the remainder when 8532 is divided by 15. 12 Calculate the remainder when 540 is divided by 157. 69 Calculate the remainder when 90 is divided by 44. 2 What is the remainder when 271 is divided by 85? 16 Calculate the remainder when 419 is divided by 47. 43 Calculate the remainder when 217 is divided by 20. 17 What is the remainder when 35 is divided by 5? 0 What is the remainder when 169 is divided by 17? 16 What is the remainder when 1534 is divided by 222? 202 What is the remainder when 394 is divided by 131? 1 What is the remainder when 855 is divided by 41? 35 What is the remainder when 16 is divided by 10? 6 Calculate the remainder when 1768 is divided by 59. 57 What is the remainder when 118 is divided by 55? 8 Calculate the remainder when 650 is divided by 16. 10 What is the remainder when 427 is divided by 48? 43 What is the remainder when 10 is divided by 9? 1 Calculate the remainder when 259 is divided by 72. 43 Calculate the remainder when 484 is divided by 10. 4 What is the remainder when 851 is divided by 14? 11 Calculate the remainder when 1015 is divided by 64. 55 What is the remainder when 1239 is divided by 49? 14 Calculate the remainder when 133 is divided by 29. 17 What is the remainder when 17 is divided by 6? 5 What is the remainder when 159 is divided by 55? 49 Calculate the remainder when 2197 is divided by 122. 1 Calculate the remainder when 213 is divided by 35. 3 What is the remainder when 587 is divided by 180? 47 What is the remainder when 972 is divided by 314? 30 Calculate the remainder when 638 is divided by 45. 8 Calculate the remainder when 5068 is divided by 78. 76 What is the remainder when 176 is divided by 30? 26 What is the remainder when 4239 is divided by 533? 508 Calculate the remainder when 532 is divided by 13. 12 Calculate the remainder when 934 is divided by 8. 6 What is the remainder when 2078 is divided by 20? 18 Calculate the remainder when 7343 is divided by 36. 35 What is the remainder when 1857 is divided by 12? 9 What is the remainder when 543 is divided by 16? 15 Calculate the remainder when 59 is divided by 21. 17 What is the remainder when 7769 is divided by 19? 17 Calculate the remainder when 26778 is divided by 130. 128 What is the remainder when 246 is divided by 81? 3 What is the remainder when 1294 is divided by 643? 8 What is the remainder when 424 is divided by 233? 191 Calculate the remainder when 197 is divided by 35. 22 What is the remainder when 1700 is divided by 9? 8 What is the remainder when 992 is divided by 110? 2 Calculate the remainder when 4006 is divided by 12. 10 Calculate the remainder when 28 is divided by 9. 1 What is the remainder when 29894 is divided by 15? 14 Calculate the remainder when 55 is divided by 9. 1 Calculate the remainder when 3323 is divided by 19. 17 What is the remainder when 1138 is divided by 373? 19 Calculate the remainder when 467 is divided by 94. 91 What is the remainder when 25 is divided by 8? 1 What is the remainder when 407 is divided by 128? 23 Calculate the remainder when 249 is divided by 12. 9 Calculate the remainder when 2734 is divided by 6. 4 What is the remainder when 819 is divided by 5? 4 What is the remainder when 245 is divided by 61? 1 Calculate the remainder when 54 is divided by 44. 10 What is the remainder when 277 is divided by 35? 32 Calculate the remainder when 491 is divided by 4. 3 What is the remainder when 306 is divided by 163? 143 Calculate the remainder when 238 is divided by 16. 14 What is the remainder when 2011 is divided by 13? 9 Calculate the remainder when 626 is divided by 63. 59 Calculate the remainder when 2583 is divided by 76. 75 What is the remainder when 87 is divided by 36? 15 Calculate the remainder when 556 is divided by 34. 12 What is the remainder when 398 is divided by 81? 74 What is the remainder when 290 is divided by 36? 2 What is the remainder when 95 is divided by 25? 20 Calculate the remainder when 583 is divided by 39. 37 Calculate the remainder when 2734 is divided by 677. 26 Calculate the remainder when 430 is divided by 16. 14 What is the remainder when 121 is divided by 41? 39 What is the remainder when 797 is divided by 50? 47 What is the remainder when 312 is divided by 21? 18 Calculate the remainder when 4804 is divided by 27. 25 Calculate the remainder when 59 is divided by 9. 5 What is the remainder when 2508 is divided by 279? 276 Calculate the remainder when 4878 is divided by 18. 0 Calculate the remainder when 82 is divided by 19. 6 Calculate the remainder when 7 is divided by 3. 1 Calculate the remainder when 2195 is divided by 110. 105 Calculate the remainder when 861 is divided by 18. 15 What is the remainder when 806 is divided by 264? 14 What is the remainder when 151 is divided by 46? 13 Calculate the remainder when 98 is divided by 20. 18 Calculate the remainder when 135 is divided by 9. 0 What is the remainder when 40 is divided by 19? 2 Calculate the remainder when 83 is divided by 76. 7 What is the remainder when 179 is divided by 26? 23 What is the remainder when 299 is divided by 93? 20 What is the remainder when 1869 is divided by 52? 49 Calculate the remainder when 252 is divided by 5. 2 What is the remainder when 7829 is divided by 178? 175 What is the remainder when 125 is divided by 32? 29 Calculate the remainder when 4620 is divided by 132. 0 What is the remainder when 166 is divided by 55? 1 What is the remainder when 4388 is divided by 183? 179 Calculate the remainder when 114 is divided by 61. 53 Calculate the remainder when 8772 is divided by 214. 212 Calculate the remainder when 152 is divided by 26. 22 What is the remainder when 3775 is divided by 70? 65 What is the remainder when 2144 is divided by 37? 35 Calculate the remainder when 133 is divided by 23. 18 What is the remainder when 209 is divided by 14? 13 What is the remainder when 5935 is divided by 66? 61 What is the remainder when 371 is divided by 133? 105 Calculate the remainder when 94 is divided by 63. 31 What is the remainder when 868 is divided by 176? 164 What is the remainder when 1419 is divided by 79? 76 What is the remainder when 159 is divided by 24? 15 Calculate the remainder when 116 is divided by 39. 38 Calculate the remainder when 16545 is divided by 67. 63 What is the remainder when 25 is divided by 7? 4 Calculate the remainder when 668 is divided by 45. 38 What is the remainder when 125 is divided by 30? 5 Calculate the remainder when 69 is divided by 24. 21 Calculate the remainder when 1457 is divided by 10. 7 What is the remainder when 358 is divided by 72? 70 What is the remainder when 181 is divided by 119? 62 What is the remainder when 5585 is divided by 151? 149 Calculate the remainder when 656 is divided by 162. 8 What is the remainder when 2425 is divided by 83? 18 What is the remainder when 597 is divided by 48? 21 Calculate the remainder when 564 is divided by 44. 36 What is the remainder when 498 is divided by 101? 94 What is the remainder when 71 is divided by 45? 26 Calculate the remainder when 489 is divided by 10. 9 What is the remainder when 8048 is divided by 97? 94 What is the remainder when 153 is divided by 28? 13 What is the remainder when 400 is divided by 16? 0 What is the remainder when 348 is divided by 35? 33 What is the remainder when 13 is divided by 10? 3 Calculate the remainder when 97 is divided by 11. 9 What is the remainder when 197 is divided by 68? 61 What is the remainder when 740 is divided by 7? 5 Calculate the remainder wh
{ "pile_set_name": "DM Mathematics" }
+ y - 26 + 23 for i. 4 Let p be (-28)/(2/(-6) + -1). Let g be (91/p + -4)*0. Solve -x - 3*d + 14 = 0, -d - d + 6 = g for x. 5 Let y = -92 + 97. Suppose -18*k + 20*k = 6. Solve 0 = -3*n + y*h - 20, 6*n - k*h + 12 = 2*n for n. 0 Suppose -667 = -85*p - 73 + 171. Solve 0 = 4*g - 2*r - p + 21, -6 = -2*g + 4*r for g. -5 Let k = 2822 + -2809. Solve 3*s + 13 + 10 = 4*h, 2*h - 3*s - k = 0 for h. 5 Let w be (12/8 + -1)*(-2)/1. Let o be w - ((-3)/6 + (-10)/4). Let h be (-7)/o*(-66)/77. Solve h*m + 0*m = 5*j - 1, 3 = m for j. 2 Let u(d) = 4*d**2 + d - 51. Let p be u(7). Let m = p + -134. Solve -k = -4*q + m, -5 = -3*k + q - 4 for k. 2 Let p = 339 + -341. Let m = 7 + -4. Let d be ((8/(-1))/(m + -2))/p. Solve -b = -5*z - 26, -3*z + 3*b - d - 14 = 0 for z. -5 Let q be -1 + -7 + (0 + 0 - -11). Solve 4*x - 7 = 3*b, -q*b - 2 = -2*x + 3 for x. 1 Let a be -5 + 3 - 1 - -23. Suppose -28*q = -30*q - a. Let f(l) = -2*l - 17. Let s be f(q). Solve 0 = -s*h - 2*r + 21, 19 = 2*h + r + 2*r for h. 5 Let t = 775 - 771. Suppose 0 = t*h + 16, 0 = -4*s - 2*h + 5 + 3. Let c(p) = p**2 + 5*p - 1. Let k be c(-6). Solve k*u = s*u + 3*d - 7, 2 = d for u. -1 Suppose -74 = x + 151. Let z = x - -230. Solve -z*j + 4*a - 8 = 0, 2*j = -4*a - 0*a - 20 for j. -4 Suppose 146 = v + 4*b + 33, 0 = 2*b. Suppose 96*m - v*m + 238 = 0. Solve m = -c + 5*r, 2*c - 2*r + 3 = -1 for c. 1 Let c be 1 + (-32)/40 + (-24)/(-5). Suppose -t + 25 = c*a, 3*a = -3*t + 4*t + 7. Solve 2*x - 2 + 9 = -3*y, y - t*x + 25 = 0 for y. -5 Suppose -5*j = -t + 13 + 9, 0 = -2*t - j - 11. Let y be (-2 - 1)/t*(-4)/(-1). Solve 5*s - d = 4*d - 5, s + 11 = -y*d for s. -3 Let s be -6*(9/(-1))/(-18). Let u be 63/9 + (18/3)/s. Solve -4 - 10 = -r - u*q, -7 = 4*r - q for r. -1 Let f = 680 + -515. Suppose 2*j - 35*j = -f. Solve -j*u + u - 3*d = 32, 16 = -4*d for u. -5 Let m = 2820 - 2820. Solve -k = -4*a - 16, -31 = 4*k - m*a + 3*a for k. -4 Let w be 71/((-10934)/(-728)) + (-1)/(-11)*3. Solve -4*h = x + 10 - 1, w*x + 4*h + 29 = 0 for x. -5 Let b = -22149 - -22176. Solve -2*h = 2*u - 10, b*u - 8 = 2*h + 26*u for h. -1 Let r be ((1 - 1)*1)/((-20)/(-10)). Solve 4*h = 4*a + 28, r*h + 2*h = 10 for a. -2 Let b(q) be the first derivative of 2*q**2 - 7*q - 85. Let m be b(3). Solve -3*c + 0 + 6 = -k, 10 = m*c - 5*k for c. 2 Let z(m) = m**2 + 5. Let v be z(2). Suppose -4*p = f - v, 32*f - 35*f = 9. Solve -2*g - 2 - 6 = 0, -3*s + p*g = 0 for s. -4 Let n be ((-2)/(-18))/((-33)/(-891)). Solve 2*u + 3*r = 2*r - 6, 5 = n*u + 5*r for u. -5 Suppose -518 = -5*w - 203. Solve 2*n - i + w = 65, -n + 1 = -5*i for n. 1 Suppose -268*l + 3147 = -3933 + 648. Solve -4*a = -8, 0 = 2*k - 73*a + 78*a - l for k. 7 Let w = -15 + 31. Suppose -12 = -47*f - 12. Let g be 2*4*(-6 - (-39)/6). Solve -g*q - w = -i, -i + q = -1 - f for i. -4 Suppose 37 = w - 2*y, 4*w - 88 = -0*w - 4*y. Suppose -4*j = -51 + w. Solve -a - 5*h = -6*a - 5, -h + j = -2*a for a. -5 Suppose 0*q + 2*q = 0. Let p(s) = s**3 + s**2 - 31*s + 8. Let f = -221 - -226. Let k be p(f). Solve -l - k*u + 1 = q, -1 = l + 4*u - 4 for l. -5 Suppose 398 = -19*g + 106*g - 37. Solve 26 = 2*n - 10*p + g*p, 5*p = -3*n - 11 for n. 3 Suppose -16*h + 3 = -17*h, -5*k - 3*h + 561 = 0. Suppose 30*f + 24 = k. Solve -u + 4*u = 0, f*d + u - 3 = 0 for d. 1 Let a = -1368 - -1374. Solve 0 = -4*i, 3*n - 9*i + a*i - 6 = 0 for n. 2 Let k = 58 - 49. Let w(z) = -z**2 + 14*z - 41. Let h be w(k). Suppose 10*r = 14*r. Solve a = -h*a + 4*m - 35, -5*a - 5*m + 10 = r for a. -3 Let a = 83 - 80. Suppose -c - a = -4*c, -5*t - c = -51. Solve -5 = -5*u, -15 = 5*i - 5*u + t for i. -4 Suppose -f + 2*f = 5*b + 5, -25 = -5*f + 2*b. Suppose 0 = y + 5, f*y + 7 = 2*k + k. Let o be (16/k)/((-6)/9). Solve -5*w = g + 2*g, 0 = 3*w + o*g for w. 0 Suppose 5*t - 29 = -4. Let b = 163 + -159. Suppose 0*h + b*h - 10 = -t*q, 5*q = h + 10. Solve -n = 4*r + 19, r = 4*n - h*n - 9 for r. -5 Let l = -82 + 113. Let o = 35 - l. Let k be (2 + 1*-3)*-3. Solve 0 = -o*w + k*h + 1, -4 = 2*w + 5*h + 15 for w. -2 Let b = -15 - -57. Suppose 10 - b = 4*k. Let u be 3/(-3)*3 - k. Solve -5*g = u*n - 2*n, 0 = 3*n - 3*g for n. 0 Suppose k - 3*n + 2 = 0, 2*n - 41 = -0*k - 5*k. Suppose -2*b = 3*v - k, -4*b - 31 = -3*v - 0*b. Solve -2*u + v*z + 25 = -7*u, -4*z - 8 = 0 for u. -3 Let x(i) = -2*i**2 + 2*i - 1. Let q be x(-4). Let j = q - -46. Solve t + 5*p = 24, -2*t + j*t = -2*p + 20 for t. 4 Suppose 69*q = 81*q + 516. Let m(r) = -r**3 - 41*r**2 + 86*r + 3. Let l be m(q). Solve -4*x = z - 10, -3*x + l*z = -0*x - 15 for x. 3 Suppose 9*p + 2 - 40 = -11. Solve 3*x + 3*w = 9, -x = p*w - 9 + 8 for x. 4 Suppose 4*o = -138 - 30. Let l be 8/(-28) + (-138)/o. Suppose n - l*n = -5*p - 6, -n - 5*p + 3 = 0. Solve 2*z = 4*r - 8, -5*z - 20 = -n*r + 4*r for r. 0 Let w(l) = 19*l**2 + l + 1. Let b be w(-1). Let o = -15 + b. Solve -3*x - 11 = -2*s, 0*x - 13 = -3*x - o*s for x. -1 Let v = -199 + 204. Suppose -9*h + v*h + 12 = 0. Solve 0 = -5*f - 5*r - 15, -h*f - 6 = -r - 5 for f. -1 Let t(l) = l**2 + 17*l - 138. Let v be t(6). Solve v = 5*z - 2*k - 5, 2 = -3*z + 5*z + k for z. 1 Let x = 46 + -46. Let v be -2 - x - 182/(-7). Suppose 3*a - v = -0*a. Solve 4*o - a = 4*p, 5*p + o + 4 = -0*o for p. -1 Let n = 109 - 201. Let d = n - -94. Solve -3*t = 3*h, 5*h + t = -d*t + 8 for h. 4 Suppose -4*o + 4*y = -36, -11*y + 51 = 4*o - 10*y. Solve -b + 12 = 4*l, 8*l - 36 = 7*b - o*b for l. 2 Let i = 215 + -206. Suppose 22*n - 19*n - i = 0. Solve -t = -n*w - 9, t + t + 2*w = -14 for t. -3 Suppose -3*t = 5*p - 98, 292*p - 21 = 291*p - 2*t. Solve 5*u - p = 3*c, 0 = 12*u - 11*u + 3*c + 7 for u. 2 Suppose -5 = y - 2*h + 5, -5*h = -25. Let s(a) = -a**2 - a + 3. Let n be s(y). Let m be 0/(21/210*-10). Solve l = -4*z - m*l - 2, n*z - 6 = 3*l for z. 0 Let n = 85 + -94. Let h(o) = o**2 + 12*o + 32. Let u be h(n). Solve 0 = 4*t + t + z + 28, -2*t = -5*z - u for t. -5 Let i(p) = p**2 - 9*p - 790. Let g be i(33). Let k be 132/30 - 4/10. Suppose 0 = -t - 1 + k. Solve 0 = t*b - 12, 0 = -0*r - g*r + 5*b - 28 for r. -4 Suppose 2*m - 37 + 5 = 0. Suppose 20 = 26*h - m*h. Solve 5*j - h*q = -8, -j - 9 = j + 5*q for j. -2 Suppose -16*s = -59 - 21. Suppose 0 = -s*v - 102 + 252. Solve t = -2*u + 8, -3*u + v = 5*t + 4 for u. 2 Suppose j - 5*j + 4*q + 36 = 0, j = -5*q + 33. Let l = j - 11. Let x be (-9)/(-21) + 6/(-14). Solve 3*u - l*h - 7 = 2*h, -3*h + 6 = x for u. 5 Suppose -5*z = 3*f - 17, 2*z = 2*f + 3*z - 23. Suppose f*c - 11*c = 15. Solve c*o + 2*b - 22 = b, 4*b + 27 = 3*o for o. 5 Let q(i) = 39*i + 27*i - 100*i + 29 + 35*i - 4. Let a be 65/(-3) - 2/6. Let p be q(a). Solve 4*n - p*u - 7 = -2*u, -n = -2*u for n. 2 Let f = 436 - 422. Let a(b) = -2*b**2 + 29*b - 14. Let c be a(f). Solve 3*m + 2*k = -11, c*m + 5*m + 19 = -4*k for m. -3 Let w(u) = -2*u**3 - 29*u**2 + 122*u - 72. Let r be w(-18). Solve 4*n + 9*j - 5*j = r, -j = -4 for n. -4 Let f(k) = k**3 + 12*k**2 - k - 4. Let n be f(-4). Let h = -108 + n. Solve -5*x + q - h = 0, -x - 3 = -q + 1 for x. -4 Let k be 2 - -6 - 6 - 50*-1. Let p = k + -50. Let j be ((-28)/49)/(p/(-7)). Solve j*b = -v - 4, 5*v - 2*v = -b - 12 for v. -4 Let i(j) = -8*j**2 + 2*j - 1. Let f be i(1). Let m be f/(-14)*(9 + 1). Let u = 829 - 820. Solve 2*s = 5*b - 7 + 1, -3*s = m*b + u for s. -3 Let u = 8101 - 8100. Solve 2*m - u + 6 = h, 2*h + 3*m = 10 for h. 5 Suppose -q - 7 = -3*v, 22 = 3*v + 3*q - 5. Solve -3*h + v = -3*i - 2, -5*i = 2*h + 31 for i. -5 Suppose 548 = -212*v + 3304. Solve -2*m = -3*u + 3, 18*u + m - 5 = v*u for u. 1 Let j(v) = v**2 - 17*v + 3. Let s be 57/3 + 3/1*-1. Let l be j(s). Let f(d) = -d**2 - 19*d - 43. Let y be f(l). Solve x - 9 = -2*b, 6*b - b = -5*x + y for b. 2 Suppose -413*w - 68 = -417*w + 2*c, 4*w - 3*c = 76. Solve 10*g - 14*g - 3*i + w = 0, 5*g = -2*i + 11 for g. 1 Suppose 0 = -4*w - 5*w + 153. Suppose -35 = -5*r - a, -r - 5*a - w = -0*r. Let j be -1 + 5 - r/4. Solve 4*l + 0 = j*q - 2, -l + 7 = 2*q for l. 1 Let v be ((-84)/224)/(2/(-16)). Solve -18*q + 8 = -14*q - 3*f, 2 = q - v*f for q. 2 Let v(i) = -50*i + 54*i - 20 - 42 + 48*i - 3*i**2 + 52*i. Let l be v(34). Solve -z - 10 = 3*a + z, -3*z - l = 0 for a. -2 Let j be (8 - 0)*51/136. Let v be 2 - -1 - (-1 - -2). Solve 0 = -0*h + 3*h - 3*b - 3, -v*b + 13 = j*h for h. 3 Suppose -2*l + 29*i = 28*i - 5, 1 = -l - 3*i. Solve l*y - 7*y - 5*u =
{ "pile_set_name": "DM Mathematics" }
is -4342 (base 5) in base 14? -309 What is -1110323 (base 5) in base 7? -110513 3a3a (base 13) to base 5 231310 -b (base 14) to base 5 -21 1100325 (base 6) to base 11 37a98 What is 34668 (base 9) in base 6? 255055 -3c6 (base 13) to base 2 -1010011101 What is 573 (base 15) in base 11? a21 Convert 146 (base 15) to base 5. 2131 What is 341303 (base 5) in base 8? 27456 87872 (base 10) to base 11 60024 Convert -1001122 (base 4) to base 8. -10132 10202 (base 6) to base 15 615 1100100 (base 3) to base 5 12411 Convert -540004 (base 6) to base 13. -1709b What is -117551 (base 9) in base 3? -10121121201 14082 (base 11) to base 5 1120210 Convert -9 (base 14) to base 10. -9 -305 (base 13) to base 2 -1000000000 What is -1000111110010 (base 2) in base 4? -1013302 Convert 1a55 (base 13) to base 11. 2a78 -771 (base 12) to base 9 -1444 Convert 551 (base 9) to base 5. 3301 22112 (base 6) to base 10 3068 What is 2484 (base 11) in base 9? 4387 Convert -11310 (base 5) to base 2. -1100111110 -151 (base 6) to base 14 -4b Convert 189 (base 16) to base 13. 243 Convert 409 (base 14) to base 12. 561 Convert -2003101 (base 5) to base 10. -31651 What is -6ab (base 12) in base 6? -4335 2023023 (base 4) to base 9 13186 What is -6a1 (base 12) in base 11? -816 What is 41111 (base 6) in base 9? 7417 Convert 320 (base 13) to base 2. 1000010101 -40012 (base 5) to base 16 -9cb -8bc (base 14) to base 5 -23414 What is 4378 (base 12) in base 6? 54232 Convert -1230 (base 5) to base 8. -276 -24236 (base 8) to base 14 -3b0a Convert -1303 (base 7) to base 3. -200021 What is -3131001 (base 4) in base 15? -42d0 10d8 (base 14) to base 5 43214 aa9d (base 15) to base 14 d260 What is -1409 (base 10) in base 6? -10305 What is -204424 (base 6) in base 10? -16576 193 (base 12) to base 6 1103 What is 3821 (base 9) in base 5? 42404 Convert -168 (base 10) to base 7. -330 Convert -2624 (base 7) to base 15. -468 Convert 6183 (base 11) to base 4. 2000012 -30ab (base 12) to base 11 -3aa2 Convert 47 (base 11) to base 9. 56 Convert -110200010 (base 3) to base 2. -10010000010101 Convert -3510 (base 6) to base 10. -834 100001110 (base 2) to base 9 330 -111110010100 (base 2) to base 15 -12ad 31201 (base 4) to base 10 865 What is -101011010111 (base 2) in base 3? -10210210 What is -3040223 (base 5) in base 6? -1020514 What is -13031 (base 7) in base 9? -4655 -1107 (base 15) to base 14 -1459 What is b948 (base 13) in base 14? 9552 -3736 (base 13) to base 15 -24b4 What is 4933 (base 12) in base 6? 102103 221101 (base 3) to base 10 685 What is -210265 (base 7) in base 13? -135c7 Convert 1532 (base 6) to base 10. 416 Convert 2100122 (base 4) to base 6. 110442 What is 2c (base 14) in base 9? 44 What is 101001000101010 (base 2) in base 14? 7946 Convert 10344 (base 5) to base 10. 724 -30040 (base 5) to base 3 -2121012 Convert 104413 (base 5) to base 9. 5107 Convert 23436 (base 7) to base 6. 44010 71d (base 14) to base 5 21044 What is -146541 (base 7) in base 9? -43376 Convert -1055 (base 11) to base 9. -1815 Convert -240350 (base 7) to base 13. -169a6 What is 5481 (base 11) in base 2? 1110000111100 12222020 (base 3) to base 8 10401 1673 (base 8) to base 7 2533 What is -12450 (base 6) in base 3? -2121110 8608 (base 9) to base 7 24305 Convert -a3 (base 13) to base 9. -157 Convert 188 (base 16) to base 3. 112112 Convert -10000001110 (base 2) to base 9. -1373 Convert 227 (base 10) to base 14. 123 Convert -20469 (base 10) to base 11. -14419 Convert -11011111101110 (base 2) to base 12. -8352 -1001000101 (base 2) to base 16 -245 What is -1110000111001 (base 2) in base 9? -10817 11212300 (base 4) to base 6 254144 What is -1a56 (base 15) in base 14? -2118 What is 600 (base 13) in base 8? 1766 What is -32220 (base 5) in base 3? -2222221 Convert -416 (base 13) to base 6. -3115 -24a2 (base 14) to base 7 -24462 What is -23d5 (base 14) in base 3? -22120222 -223002 (base 4) to base 10 -2754 Convert 436 (base 13) to base 7. 2050 303034 (base 7) to base 4 30210103 21013 (base 4) to base 16 247 Convert -127b2 (base 13) to base 14. -c6cb Convert -33022 (base 10) to base 11. -228a0 Convert 45b4 (base 12) to base 11. 5922 529 (base 11) to base 4 21330 -205131 (base 6) to base 5 -1013222 -80 (base 10) to base 7 -143 Convert -1000000010 (base 2) to base 9. -631 What is -26b45 (base 12) in base 6? -1051325 Convert -9265 (base 12) to base 10. -15917 Convert 1011001000 (base 2) to base 4. 23020 Convert -110273 (base 8) to base 10. -37051 Convert -221175 (base 8) to base 9. -123007 Convert 11430 (base 8) to base 5. 124023 -b472 (base 14) to base 15 -9313 What is 127 (base 11) in base 7? 303 Convert -ec9b (base 16) to base 4. -32302123 ec (base 16) to base 13 152 What is 182 (base 15) in base 5? 2342 What is 3015 (base 6) in base 11? 54a What is 210133 (base 6) in base 7? 100200 Convert 1010001100 (base 2) to base 3. 220011 198 (base 14) to base 10 330 Convert -3186 (base 14) to base 2. -10000101100010 What is -1a1 (base 16) in base 11? -34a -2759 (base 14) to base 16 -1b1b 839 (base 11) to base 8 1762 Convert -44e (base 16) to base 6. -5034 What is 101220201 (base 3) in base 16? 1f15 What is -120111 (base 4) in base 12? -a99 What is 7572 (base 13) in base 11? 11294 32011 (base 4) to base 15 401 20134 (base 5) to base 9 1687 Convert 4443312 (base 5) to base 7. 443165 Convert 543 (base 6) to base 3. 21200 What is 17412 (base 10) in base 15? 525c Convert -80e3 (base 16) to base 3. -1200021001 Convert -2044 (base 5) to base 6. -1134 What is -39b (base 13) in base 15? -2c5 -12a (base 15) to base 11 -221 What is 12101022 (base 3) in base 5? 111143 What is -427 (base 15) in base 8? -1651 -3fd0 (base 16) to base 7 -65425 Convert 4716 (base 8) to base 15. b25 Convert b1 (base 16) to base 6. 453 -8c8c (base 16) to base 10 -35980 What is -b2e (base 16) in base 10? -2862 1416 (base 12) to base 8 4422 268 (base 12) to base 2 101110000 What is -22007 (base 10) in base 5? -1201012 -12312 (base 8) to base 2 -1010011001010 10111100 (base 2) to base 11 161 10111000 (base 2) to base 3 20211 Convert -110111111011101 (base 2) to base 5. -1404022 284 (base 10) to base 13 18b Convert 24240 (base 7) to base 15. 1d00 -1ba (base 12) to base 8 -436 Convert -1a0c (base 14) to base 2. -1001001101100 What is -14344 (base 5) in base 7? -3366 What is -d93 (base 16) in base 8? -6623 -20222 (base 4) to base 9 -675 -110011111110 (base 2) to base 14 -12d8 What is -1776 (base 8) in base 4? -33332 What is -67a0 (base 11) in base 15? -29b3 f08 (base 16) to base 6 25452 668 (base 12) to base 15 42e Convert -3230 (base 4) to base 5. -1421 What is 502 (base 11) in base 2? 1001011111 What is 13283 (base 9) in base 16? 2319 Convert -36e4 (base 16) to base 7. -55653 What is 1000100 (base 3) in base 2? 1011100010 22202 (base 3) to base 6 1032 -fd8 (base 16) to base 9 -5506 Convert 2332112 (base 4) to base 14. 4622 What is -63368 (base 10) in base 12? -30808 Convert 21112 (base 4) to base 9. 734 102212011 (base 3) to base 5 234034 Convert 1054222 (base 6) to base 11. 376aa What is 30 (base 16) in base 7? 66 -1a9 (base 12) to base 14 -157 -70554 (base 8) to base 9 -43742 What is -110102210 (base 3) in base 11? -68a2 What is -605 (base 7) in base 14? -175 -101111101 (base 2) to base 15 -1a6 Convert -2313 (base 10) to base 12. -1409 What is 2000122 (base 3) in base 2? 10111000011 What is -a90 (base 16) in base 5? -41304 -11252 (base 6) to base 4 -121100 -20b (base 12) to base 7 -605 What is 7061 (base 13) in base 10? 15458 23302 (base 4) to base 6 3254 10000020 (base 3) to base 9 3006 10010110 (base 2) to base 13 b7 What is -223 (base 10) in base 14? -11d What is 1156 (base 7) in base 6? 2001 Convert 265705 (base 8) to base 9. 151662 1161 (base 9) to base 7 2344 Convert 10111000110100 (base 2) to base 11. 8983 a62e (base 16) to base 6 524542 What is -44151 (base 8) in base 4? -10201221 Convert 1b04 (base 15) to base 2. 1011011011110 -390 (base 10) to base 4 -12012 -4554 (base 10) to base 9 -6220 -974b (base 12) to base 15 -4dce What is 10140121 (base 5) in base 14? 2276a What is 288 (base 9) in base 14? 134 Convert -240 (base 16) to base 12. -400 What is -11100011 (base 2) in base 12? -16b Convert -465 (base 10) to base 8. -721 -195 (base 15) to base 3 -111112 -10122 (base 3) to base 1
{ "pile_set_name": "DM Mathematics" }
6. Determine 11*f(r) + k(r). -4*r**3 - 7*r**2 + 35 Let f(t) = 79 + 73 + 75 + 2*t**2 + 11*t - 228 + 0*t**2. Let m(n) = -3*n**2 - 12*n + 1. Calculate -6*f(o) - 5*m(o). 3*o**2 - 6*o + 1 Suppose -4*l - 5*j = -3, 113 = -5*j + 128. Let b(k) = 11*k**2 - 7*k + 5. Let g(n) = 5*n**2 - 3*n + 2. What is l*b(f) + 7*g(f)? 2*f**2 - 1 Let l(p) = -50*p**2 + 21*p - 5. Let m(w) = 50*w**2 - 26*w + 5. Determine 5*l(u) + 4*m(u). -50*u**2 + u - 5 Suppose 4214*v + 21 = 4*p + 4209*v, -2*p = 5*v + 57. Let u(g) = 2*g + 4. Let q(y) = 1. Calculate p*q(x) - u(x). -2*x - 10 Let r(c) be the first derivative of 0*c + 1/2*c**2 + 94. Let f(q) = -q**3 - 2*q**2 + 6*q - 4. Calculate f(i) - 6*r(i). -i**3 - 2*i**2 - 4 Let v(n) = 2 - 14*n + 3*n + 3*n. Suppose d = 12*d + 55. Let u(r) = 15*r - 4. Determine d*v(t) - 3*u(t). -5*t + 2 Let p(d) = -d**2 - 1138*d. Let q(t) = -t**2 - 2275*t. Determine -5*p(u) + 3*q(u). 2*u**2 - 1135*u Let f(o) = 185*o**3 - 2*o**2 - 12*o + 2. Let x(v) = -2*v. Calculate f(r) - 6*x(r). 185*r**3 - 2*r**2 + 2 Let m(g) = g - 1. Let h(c) be the third derivative of -1/3*c**4 + 172*c**2 + 2/3*c**3 + 0*c + 0. Give -h(s) - 6*m(s). 2*s + 2 Let p(v) = 2*v - 2. Let k be (-18)/(-21) - (-754)/182. Let c be (-2)/(-13) + 4080/520. Let a(b) = -b + 1. Determine c*a(n) + k*p(n). 2*n - 2 Let j(m) = m + 1. Suppose 0 = -3*l - t - 1, 3*l - 4*t - 3 + 29 = 0. Let b be 5 - l/(10/(-15)). Let n(r) = 1. Determine b*n(k) + j(k). k + 3 Let o = 575 + -279. Suppose 4*q - o + 316 = 0. Let h(c) = 5*c**3 - 2*c**2 + 2*c - 1. Let n(y) = 11*y**3 - 5*y**2 + 5*y - 2. Calculate q*h(i) + 2*n(i). -3*i**3 + 1 Let r(w) = 16*w**2 + 45*w. Let y(z) = 15*z**2 + 42*z. Give -2*r(l) + 3*y(l). 13*l**2 + 36*l Suppose 53 - 88 = -5*m + 2*x, -25 = -3*m + 2*x. Let t(z) = -3*z + z + 0*z - 7. Let n(w) = 2*w + 6. What is m*n(i) + 4*t(i)? 2*i + 2 Let g = 13124 - 13130. Let u(w) = 7*w - 7. Let i(a) be the third derivative of -a**4/4 + a**3 - 16*a**2. Determine g*i(k) - 5*u(k). k - 1 Let h(w) = 11*w**2 + 14*w + 14. Suppose -4*u + 11 = 3. Let i(d) = -4*d**2 + 159 - 7*d + u*d - 164. What is -3*h(a) - 8*i(a)? -a**2 - 2*a - 2 Let n(y) = 30743*y**3 - 8*y - 15371*y**3 - y - 15368*y**3. Let x(m) = -m**3 + 2*m. Let f be 14/3 - 2/3. Let w be -1 + (0 - 2)*f. Determine w*x(k) - 2*n(k). k**3 Let o(b) = -3*b**2 - 2*b + 2. Suppose -3*v + 1348 = -2*w - 1259, -3*v = -w - 2604. Let c(z) = 437*z**2 - 1 - v*z**2 + 432*z**2 + z. What is -5*c(r) - 3*o(r)? -r**2 + r - 1 Let g(r) = 15191*r - 583. Let w(l) = 7595*l - 318. Calculate -6*g(z) + 11*w(z). -7601*z Let a(q) = 220*q**3 - q**2 + 2*q + 10. Let n(s) = -12*s**3 + s**2 - s - 3. What is -a(m) - 3*n(m)? -184*m**3 - 2*m**2 + m - 1 Let l(u) = -2*u**3 + 583*u**2 + 6*u + 2. Let o(v) = 4*v**3 - 583*v**2 - 9*v - 3. What is -3*l(w) - 2*o(w)? -2*w**3 - 583*w**2 Let r(j) = 32 - j + j**2 - 19 - 15 - 2 + 3*j. Let d = 3 + -1. Let a(i) = -3*i + 1. Let g(u) = 7*u - 2. Let m(o) = d*g(o) + 5*a(o). Give 4*m(n) + r(n). n**2 - 2*n Let b(s) = -141*s**2 - 301*s + 25. Let o(y) = 23*y**2 + 50*y - 4. Give 2*b(k) + 13*o(k). 17*k**2 + 48*k - 2 Let y(u) = 9*u**2 - 153*u - 18. Let q(i) = -3*i**2 + 53*i + 6. Let h(x) = 17*q(x) + 6*y(x). Let s(l) = -5*l**2 + 33*l + 11. What is 7*h(r) + 4*s(r)? r**2 + 13*r + 2 Let j(f) = f**3 + 7*f**2 - 4*f - 1. Suppose 34*m + 23*m - 82 = 317. Let q(i) = -i**3 - 5*i**2 + 3*i + 1. What is m*q(x) + 5*j(x)? -2*x**3 + x + 2 Let c(n) = 4*n - 6. Let m(q) = 718*q - 38. Give -6*c(s) + m(s). 694*s - 2 Let f(m) = -19*m**2 + 92*m - 79. Let u(y) = -4*y**2 + 23*y - 20. Determine -2*f(i) + 9*u(i). 2*i**2 + 23*i - 22 Let r(j) = 3550*j**3 - 6*j**2 - 6*j - 18. Let u(h) = 3547*h**3 - 5*h**2 - 5*h - 15. Give -5*r(i) + 6*u(i). 3532*i**3 Let t(v) = 5*v**3 - 8*v**2 - 6. Let i(u) = -2*u**3 - 23*u**2 + 164*u - 8. Let j be i(5). Let x(p) = -11*p**3 + 16*p**2 + 13. Give j*t(w) - 6*x(w). w**3 + 8*w**2 Let i(o) = o**3 + 1 + 88867*o**2 + 3 - 177715*o**2 + 88859*o**2. Let k = 7 + -3. Let t(y) = -y**3 - 12*y**2 - 5. Give k*t(q) + 5*i(q). q**3 + 7*q**2 Let m(z) = 27*z - 734. Let r be m(26). Let b(l) = -20*l. Let s(u) = 2*u - u - 5*u - 1. Let h be s(1). Let n(a) = 3*a. Calculate h*b(g) + r*n(g). 4*g Let v(z) = -z + 1. Let h(k) = -5*k - 7. Let u(o) = -14*o - 1. Let s be u(0). Let i(l) = -l - 1. Let y(r) = s*i(r) + h(r). Determine -3*v(a) + y(a). -a - 9 Let u(f) = -4553*f + 4. Let p(q) = -2271*q + 2. Give 5*p(j) - 2*u(j). -2249*j + 2 Let s(k) = -2161*k**3 - 106*k + 30. Let a(l) = 216*l**3 + 10*l - 3. Determine -21*a(z) - 2*s(z). -214*z**3 + 2*z + 3 Let h(m) = -1. Let c(f) be the first derivative of -12 + 5/2*f**2 - 10*f. Let q(p) = -c(p) + 6*h(p). Let z(x) = -11*x + 9. Determine 9*q(b) - 4*z(b). -b Let r be (8/(-10) - (-6)/(-30))*3. Let d(a) = 0 + 4 - 3 + 4*a. Let n(i) = -7*i - 1. Suppose -5*j + b - 22 = -2*b, 4*j + 5*b = -25. Give j*d(p) + r*n(p). p - 2 Let v(m) = 1096*m**3 + 3*m**2 + 14*m - 6. Let w(k) = 3288*k**3 + 8*k**2 + 38*k - 16. What is -8*v(t) + 3*w(t)? 1096*t**3 + 2*t Let c(u) = -2*u + u - 3*u + 3*u. Let z(a) = -a**2 + 2*a - 4. Let i(g) = 3*g + 30. Let k be i(-9). Give k*c(s) + z(s). -s**2 - s - 4 Let m(h) = 2*h**2 - 1. Let f(q) = 2*q**2 - 1. Let t(s) = -3*s - 11*s + 5 + 5 + s**2 - 4. Let d be t(14). What is d*f(w) - 5*m(w)? 2*w**2 - 1 Let t(d) = -111*d + 229. Let l(k) = 60*k - 115. Determine 11*l(n) + 6*t(n). -6*n + 109 Let k(c) = c + 1. Let p(n) be the first derivative of 2*n**3 - 9*n**2 - 18*n - 939. Give 18*k(i) + p(i). 6*i**2 Let u(q) = 647*q + 53. Let x(p) = -185*p - 18. Let a(i) = 2*u(i) + 7*x(i). Let b(r) = 3*r + 59. Calculate -7*a(k) - 2*b(k). k + 22 Let z(x) = 4*x**3 - 51*x - 4. Let f(d) = -8*d**3 + 101*d + 6. Determine 2*f(l) + 5*z(l). 4*l**3 - 53*l - 8 Let l(p) = -24*p**3 + 11*p**2 - 11*p - 11. Let b be -12*((-42)/(-18) - 3). Let f(j) = 4 - 668*j**2 + b*j**3 + 664*j**2 + 7*j - j - 2*j. Give 11*f(v) + 4*l(v). -8*v**3 Let k(g) = -22*g - 4205. Let f(q) = 59*q + 12616. Give 3*f(j) + 8*k(j). j + 4208 Let b(x) = 23*x**2 - x + 21. Let a(z) = 12*z**2 - z + 13. What is -10*a(r) + 6*b(r)? 18*r**2 + 4*r - 4 Suppose 0 - 10 = 10*c. Let q be 9 + -6 + -6 + c. Let y(u) = 0 - u + 2 + 2*u. Let v(x) = x + 1. Calculate q*y(h) + 5*v(h). h - 3 Let d(f) = -34*f**3 + 2*f**2 + 16. Let l(i) = -102*i**3 + 6*i**2 + 54. What is 10*d(v) - 3*l(v)? -34*v**3 + 2*v**2 - 2 Suppose -188 = -4*w + 98*w. Let p(x) = 3*x - 5. Let o(u) = u**2 - 4*u + 6. Calculate w*o(g) - 3*p(g). -2*g**2 - g + 3 Let j = 7 - 12. Let u(g) = -11*g - 38. Let z(o) = 8362*o - 8355*o + 7 + 18. What is j*u(s) - 8*z(s)? -s - 10 Let l(n) = -245*n**2 - 345*n + 3. Let g(u) = 50*u**2 + 2*u - 1. Calculate 5*g(v) + l(v). 5*v**2 - 335*v - 2 Let o(l) = 2 - 113*l + 28*l + 46*l - 3 + 36*l. Let d(i) = -1. Determine -3*d(s) - o(s). 3*s + 4 Let g(h) = 16*h**2 + 1017*h + 12. Let x(a) = 19*a**2 + 1019*a + 14. Determine 7*g(t) - 6*x(t). -2*t**2 + 1005*t Suppose 73 = -f + 75. Suppose 27 = f*x + 33. Let b(g) = -6*g**3 + 3*g. Let h(k) = -7*k**3 + 4*k. Calculate x*h(i) + 4*b(i). -3*i**3 Let b(h) = 109*h + 788. Let x(v) = -50*v - 393. Give 6*b(q) + 13*x(q). 4*q - 381 Suppose 4*v = 3*v + 4. Suppose -2*d = -v*d + 12. Let s(w) = w - 1. Let o(q) = 2 + 2*q - 10 + 4 + 2*q + 3. Calculate d*s(i) - 2*o(i). -2*i - 4 Let k(w) = -4*w**2 + 5*w - 5. Let s be (-28)/6 + (-10)/(-15). Suppose -78*y - 37*y + 757 = 412. Let u(g) = -5*g**2 + 6*g - 6. Give s*k(d) + y*u(d). d**2 - 2*d + 2 Let s(j) = -2*j + 1. Suppose 3*b + 0*k - 5*k = 131, 4*k = -4*b + 196. Let g = b + -73. Let u = g + 24. Let o(c) = c. Calculate u*s(f) - 5*o(f). -f - 2 Let t(p) = -14*p**2 - 3*p. Let i(k) = -54*k**2 - 10*k + 12. Let z(n) = -2*n**2 + 2. Let o(x) = -i(x) + 6*z(x). What is -6*o(c) - 20*t(c)? 28*c**2 Let b(f) = 1 + 4*f - 1 + f**2 - 3*f. Let v = 10 - 3. Let z(o) = -14*o**2 - 2*o**3 + 0 + 9*o**2 - v*o - 1. Calculate 5*b(r) + z(r). -2*r**3 - 2*r - 1 Let r(n) = 7*n**3 + n**2 + n. Let i(c) = 5*c**2 - 6*c + 2. Give -i(d) - 6*r(d). -42*d**3 - 11*d**2 - 2 Let w(b) = 5*b**2 - 7*b - 103. Let f(k) = -6*k**2 + 9*k + 83. Determine 3*f(l) + 4*w(l). 2*l**2 - l - 163 Let c(h) = 1116*h + 11. Let d(k) = -2232*k - 19. Give -7*c(a) - 4*d(a). 1116*a - 1 Let q(b) = 3323*b**3 + 6*b**2 + b + 2. Let g(a) = -6647*a**3 - 15*a**2 - 2*a - 5. Determine -2*g(l) - 5*q(l). -3321*l**3 - l Let n(z) = -1540*z - 229. Let h(o) = -1540*o - 191. Calculate 6*h(r) - 5*n(r
{ "pile_set_name": "DM Mathematics" }
*h = 0. -5, 0, 26532 Solve -3*o**3 + 4605111*o**2 + 36841032*o + 73682160 = 0 for o. -4, 1535045 Suppose -5*p**2 + 603060*p - 12059200 = 0. What is p? 20, 120592 Solve -b**2/2 + 46305*b/2 + 3484125 = 0. -150, 46455 Suppose 3*l**2 + 6924537*l - 110793360 = 0. What is l? -2308195, 16 Suppose 4*i**4 - 28761684*i**3 + 51702111014696*i**2 + 155106534375936*i + 103404394599552 = 0. Calculate i. -2, -1, 3595212 Factor -4*w**2 - 28148*w + 7256856. -4*(w - 249)*(w + 7286) Suppose 2*b**3/19 + 38642*b**2 + 1468388*b/19 = 0. What is b? -367097, -2, 0 What is p in -14*p**5/11 + 13126*p**4/11 - 3137386*p**3/11 + 2529094*p**2 + 21687360*p + 96883200/11 = 0? -5, -3/7, 15, 464 Factor t**2/4 + 17665*t + 20667325. (t + 1190)*(t + 69470)/4 Suppose u**4 - 63*u**3 - 1953*u**2 + 151591*u - 1059576 = 0. Calculate u. -49, 8, 51, 53 Determine i so that 2*i**4 - 4964*i**3 + 4619154*i**2 - 1909889072*i + 296062047008 = 0. 604, 637 Solve -284*z**4 + 195680*z**3 + 390584*z**2 - 594272*z + 8292 = 0 for z. -3, 1/71, 1, 691 Determine x so that -x**4/4 - 1795*x**3 + 43117*x**2/4 + 1795*x - 10779 = 0. -7186, -1, 1, 6 Factor 3*x**4 - 27806334*x**3 + 64432545178143*x**2 + 644327537257980*x + 1610820581042700. 3*(x - 4634394)**2*(x + 5)**2 Factor -4*d**3 - 4405888*d**2 + 8811788*d - 4405896. -4*(d - 1)**2*(d + 1101474) Suppose -4*l**5/7 - 2112*l**4 - 15104912*l**3/7 - 2594590552*l**2/7 + 15104916*l/7 + 2594605336/7 = 0. Calculate l. -1741, -214, -1, 1 Factor 6*c**2/11 + 72657000*c/11 - 72657006/11. 6*(c - 1)*(c + 12109501)/11 Factor 2*g**2 - 27268994*g + 27268992. 2*(g - 13634496)*(g - 1) Let 20*i**4 + 2965*i**3 - 269580*i**2 - 4377340*i - 1077440 = 0. What is i? -208, -14, -1/4, 74 Suppose 4*r**4 + 2840*r**3 - 16*r**2 - 11360*r = 0. Calculate r. -710, -2, 0, 2 What is i in i**4 - 132*i**3 + 2747*i**2 - 17040*i + 32400 = 0? 4, 5, 15, 108 Find r, given that 2*r**3/7 + 86695074*r**2/7 + 939504612025782*r/7 + 2818513055821734/7 = 0. -21673767, -3 Let c**5/6 + 17*c**4/6 - 293*c**3/3 + 1724*c**2/3 - 480*c = 0. What is c? -36, 0, 1, 8, 10 Factor -2*r**2 + 74094608*r - 686251366834208. -2*(r - 18523652)**2 Find q such that -2*q**2 + 26732*q + 24951984 = 0. -876, 14242 Let u**3 + 2733*u**2 + 1673324*u + 1670592 = 0. What is u? -1808, -924, -1 Factor 4*c**3 + 640500456*c**2 - 640500460*c. 4*c*(c - 1)*(c + 160125115) Let 2*y**5/3 + 16254*y**4 + 48730*y**3 - 1901650*y**2/3 - 1348944*y - 682584 = 0. Calculate y. -24378, -7, -1, 6 Suppose 2*s**5/9 + 28*s**4/9 - 182*s**3/3 - 7228*s**2/9 + 8704*s/9 + 5120/3 = 0. Calculate s. -16, -15, -1, 2, 16 Solve -g**3/3 + 356*g**2 - 96807*g + 2798410/3 = 0. 10, 529 Find y such that -3*y**5/5 + 11337*y**4/5 - 9464481*y**3/5 - 34017*y**2/5 + 28416144*y/5 - 3785796 = 0. -2, 1, 1245, 2534 Factor -2*q**3/9 + 4401344*q**2/9 - 35210656*q/9 + 70421248/9. -2*(q - 2200664)*(q - 4)**2/9 Find s, given that 98*s**2/3 + 2031838*s/3 + 27644 = 0. -20733, -2/49 Factor -2*b**2 + 2434680*b - 2434678. -2*(b - 1217339)*(b - 1) Determine q so that -5*q**2/4 + 3880*q + 15498525/4 = 0. -795, 3899 Factor z**3/3 + 395*z**2/3 - 154889*z/3 - 156065. (z - 245)*(z + 3)*(z + 637)/3 Factor b**4 + 630467*b**3 - b**2 - 630467*b. b*(b - 1)*(b + 1)*(b + 630467) Let d**2 + 115143732*d + 3314519754721956 = 0. What is d? -57571866 Suppose 2*n**4 - 888*n**3 + 61028*n**2 + 888*n - 61030 = 0. Calculate n. -1, 1, 85, 359 Determine r, given that 4*r**2/7 - 159591872*r/7 + 1591847850529024/7 = 0. 19948984 Factor 3*v**2 - 29525717*v/5 + 3936762/5. (v - 1968381)*(15*v - 2)/5 Factor x**2 - 97211*x - 97212. (x - 97212)*(x + 1) Factor 3*h**3/4 - 2492007*h**2/4 + 4984005*h/4 - 2492001/4. 3*(h - 830667)*(h - 1)**2/4 Solve o**4 - 827*o**3 - 283969*o**2 + 827*o + 283968 = 0. -261, -1, 1, 1088 Determine o, given that 3*o**2/5 + 1611*o/5 - 1587924/5 = 0. -1044, 507 What is r in 2*r**5 - 6826*r**4 + 13636*r**3 + 27292*r**2 - 13638*r - 20466 = 0? -1, 1, 3, 3411 Let -p**5/6 + 527*p**4/6 - 42371*p**3/3 + 620822*p**2 + 1991964*p = 0. What is p? -3, 0, 78, 226 Factor 2*c**3 - 2570*c**2 + 825600*c. 2*c*(c - 645)*(c - 640) Suppose y**4 + 2371*y**3 - 383195*y**2 + 759273*y - 378450 = 0. Calculate y. -2523, 1, 150 Factor -4*s**3 - 13032*s**2 + 3795996*s - 265168432. -4*(s - 137)**2*(s + 3532) Factor 2*j**3/7 - 540322*j**2/7 + 36530466864*j/7 - 4994537799456/7. 2*(j - 135012)**2*(j - 137)/7 Find x, given that -270916*x**2 + 257912040*x/7 - 1088/7 = 0. 2/474103, 136 Let 3*k**5 + 8286*k**4 + 107340*k**3 + 354666*k**2 + 123489*k - 593784 = 0. Calculate k. -2749, -8, -3, 1 Factor -i**2 + 11269951*i - 11269950. -(i - 11269950)*(i - 1) Find h, given that 3*h**5 - 225030*h**4 + 675036*h**3 + 2025174*h**2 + 1125105*h = 0. -1, 0, 5, 75007 Let -w**4/4 + 129037*w**3/4 + 8520933*w**2/4 - 17428973*w/4 + 2194751 = 0. Calculate w. -68, 1, 129103 Determine f, given that 3*f**4/5 - 7811873*f**3/5 + 1017090631446*f**2 - 8475728354508*f/5 - 3390293424968/5 = 0. -1/3, 2, 1301978 Factor 2*v**2/15 + 11908*v/15 + 2036286/5. 2*(v + 567)*(v + 5387)/15 Factor 5*q**2 - 205380*q + 6772095. 5*(q - 41043)*(q - 33) What is z in 4*z**2 + 260512*z = 0? -65128, 0 Solve 11*u**4/6 - 61210*u**3/3 - 118779*u**2/2 + 628963*u/3 - 55660/3 = 0 for u. -5, 1/11, 2, 11132 What is w in -109126*w**2/7 - 1200314*w/7 + 792/7 = 0? -11, 36/54563 Find i such that 5*i**3 - 1975*i**2 + 81780*i = 0. 0, 47, 348 Suppose 2*w**3 - 18478*w**2 + 45005664*w - 10594767744 = 0. What is w? 263, 4488 Suppose 2*t**2 - 7436*t + 1950512 = 0. What is t? 284, 3434 What is q in 2*q**5 + 424*q**4 + 5850*q**3 - 12220*q**2 - 78032*q + 151296 = 0? -197, -16, -4, 2, 3 Solve 2*x**2 + 5695452*x + 5695450 = 0 for x. -2847725, -1 Determine l, given that -4*l**3 - 206682*l**2 + 516726*l - 206692 = 0. -51673, 1/2, 2 Find d, given that d**4/8 - 41729*d**3/8 + 792349*d**2/8 + 5880885*d/8 + 4692375/4 = 0. -3, 25, 41710 Let -2*f**2 + 5076*f - 783090 = 0. Calculate f. 165, 2373 Solve o**4 - 40747*o**3 + 415750941*o**2 - 13672595837*o - 29008521430 = 0. -2, 35, 20357 Factor -a**2/3 + 1421410*a/3 - 505101597025/3. -(a - 710705)**2/3 Find l, given that -2*l**3/13 - 290492*l**2/13 + 250932520*l/13 - 54029998800/13 = 0. -146106, 430 Determine m so that 4*m**4 - 12532*m**3 + 24964*m**2 + 262932*m + 225432 = 0. -3, -1, 6, 3131 Suppose 4*f**3/7 + 22532*f**2/7 + 915232*f + 467606592/7 = 0. What is f? -5337, -148 Factor -2*m**3/7 + 12921252*m**2/7 - 20869857077184*m/7 + 41739662469376/7. -2*(m - 3230312)**2*(m - 2)/7 Factor 2*g**2/3 + 3575544*g + 4794193085976. 2*(g + 2681658)**2/3 Solve -5*q**2 - 2162055370*q - 233724171147291845 = 0. -216205537 Determine c so that 236*c**5 + 265964*c**4 - 1345012*c**3 - 220684*c**2 + 1344776*c - 45280 = 0. -1132, -1, 2/59, 1, 5 Solve -4*g**3 + 9124*g**2 - 9040*g - 182400 = 0. -4, 5, 2280 Find t, given that -3*t**4 - 1116*t**3 + 21177*t**2 + 41574*t - 1581840 = 0. -390, -8, 13 Find y such that -2*y**5/25 - 528*y**4/5 + 89196*y**3/25 + 45517432*y**2/25 + 1923587286*y/25 + 1878161688/25 = 0. -1341, -67, -1, 156 Determine l, given that -5*l**4/2 + 69135*l**3/2 - 19703395*l**2/2 + 115249065*l/2 + 67510800 = 0. -1, 7, 285, 13536 Factor u**2 - 38472596*u + 370035160744804. (u - 19236298)**2 Suppose -22*c**4 - 28282*c**3 - 240386*c**2 - 396014*c - 183888 = 0. Calculate c. -1277, -72/11, -1 Determine s so that -4*s**4 + 6031548*s**3 + 12*s**2 - 18094652*s + 12063096 = 0. -2, 1, 1507887 Find k, given that 2*k**2/5 - 1246*k/5 - 28920 = 0. -100, 723 Solve -2*a**2/7 - 13973970*a/7 + 41921928/7 = 0. -6986988, 3 Solve 2*m**5 + 186*m**4 + 4766*m**3 + 35382*m**2 + 30800*m = 0 for m. -56, -25, -11, -1, 0 Suppose -2*g**5/19 + 68500*g**4/19 - 890232*g**3/19 + 2396492*g**2/19 + 3355226*g/19 = 0. What is g? -1, 0, 7, 34237 Determine x, given that 2*x**5/9 - 5192*x**4/9 + 225628*x**3/9 - 2686552*x**2/9 + 1572326*x/3 - 250096 = 0. 1, 21, 2552 Solve -r**2 + 3385672*r - 3385671 = 0 for r. 1, 3385671 Suppose -21*u**5 - 26895*u**4 - 994824*u**3 - 12939264*u**2 - 64499328*u - 77324544 = 0. What is u? -1243, -12, -12/7 Factor 4*i**2/5 + 56439364*i/5 + 11287872. 4*(i + 1)*(i + 14109840)/5 Factor 2*n**5 - 1362*n**4 + 12150*n**3 - 36342*n**2 + 36288*n. 2*n*(n - 672)*(n - 3)**3 Factor -2*u**3/9 - 7738*u**2/9 - 299920*u/3. -2*u*(u + 120)*(u + 3749)/9 What is x in -3*x**4 + 10470*x**3 - 587040*x**2 - 10470*x + 587
{ "pile_set_name": "DM Mathematics" }
*y**4 + 356292232*y**3 + 1068876720*y**2 + 1068876728*y + 356292244. -4*(y - 89073061)*(y + 1)**3 Let -4*a**5/5 - 2564*a**4/5 - 137104*a**3/5 + 144816*a**2/5 + 55872*a = 0. Calculate a. -582, -60, -1, 0, 2 Determine i so that 122*i**2/13 - 22733216*i/13 - 3726760/13 = 0. -10/61, 186338 What is s in 12*s**5 - 2096*s**4 + 37884*s**3 + 128504*s**2 + 88512*s = 0? -2, -1, 0, 24, 461/3 Suppose -21*t**4/5 + 85644*t**3/5 - 24279*t**2/5 - 770796*t/5 + 220212/5 = 0. Calculate t. -3, 2/7, 3, 4078 Determine c, given that -2*c**2/5 - 3847104*c/5 - 1850026148352/5 = 0. -961776 Let -6*b**2/5 - 28351386*b/5 + 51032592 = 0. What is b? -4725240, 9 Solve 2*t**2/5 + 5656*t/5 - 2699008/5 = 0 for t. -3244, 416 Factor w**3 - 5212*w**2 + 67557*w + 155970. (w - 5199)*(w - 15)*(w + 2) Find v, given that -4*v**3/7 - 5108*v**2/7 - 54864*v/7 + 151920 = 0. -1266, -21, 10 Let -4*h**2 - 219728*h + 10336052 = 0. Calculate h. -54979, 47 Determine j, given that j**2/2 - 1112*j - 1041570 = 0. -710, 2934 Let r**2/4 - 51915*r/2 + 467154 = 0. What is r? 18, 103812 Suppose -f**3/2 + 2935*f**2/2 + 45958*f + 44490 = 0. What is f? -30, -1, 2966 Suppose 5*y**4/2 - 10545*y**3/2 - 3775215*y**2/2 - 3743555*y/2 + 3764655 = 0. Calculate y. -311, -2, 1, 2421 Factor -m**2/3 - 9410*m/3. -m*(m + 9410)/3 Factor -y**3 - 492*y**2 - 963*y + 246456. -(y - 21)*(y + 24)*(y + 489) Suppose f**2/8 + 4491*f/8 + 1309789/4 = 0. Calculate f. -3802, -689 Suppose 3*w**4/8 + 60297*w**3/4 + 302796369*w**2/2 - 7276582545*w/4 - 15764229975/8 = 0. Calculate w. -20105, -1, 13 Factor -2*v**2/9 + 1525910*v/3 - 1525908. -2*(v - 2288862)*(v - 3)/9 What is z in z**3/3 + 1341*z**2 + 370091*z/3 + 1001895 = 0? -3929, -85, -9 Factor -l**3/4 - 678*l**2 - 2406261*l/4 - 350727575/2. -(l + 781)**2*(l + 1150)/4 Factor -3326*w**4/5 + 219499*w**3/5 + 1122*w**2/5. -w**2*(w - 66)*(3326*w + 17)/5 Factor -w**3/5 - 412*w**2/5 - 1209*w/5 + 7362/5. -(w - 3)*(w + 6)*(w + 409)/5 Find w, given that 5*w**5 - 1385*w**4 + 39075*w**3 + 1731665*w**2 + 3340540*w + 1649340 = 0. -22, -1, 63, 238 Suppose 5*v**3 + 3274640*v**2 - 16373305*v + 13098660 = 0. Calculate v. -654933, 1, 4 Factor -g**2/8 + 13618031*g/4 - 185450768316961/8. -(g - 13618031)**2/8 Determine t, given that t**5/2 - 24*t**4 + 233*t**3/2 + 2001*t**2 - 10764*t + 12960 = 0. -9, 2, 3, 12, 40 Find r such that 3*r**3 + 9399765*r**2 + 7363007470029*r + 66266305851483 = 0. -1566623, -9 Determine m, given that 6*m**3/5 + 2569026*m**2/5 + 54999378474*m + 54998864670 = 0. -214085, -1 Let 246*c**2 + 2910671*c/4 - 1479/2 = 0. What is c? -2958, 1/984 Factor 4*y**3 - 35311*y**2 + 78101026*y - 758131959. (y - 4409)**2*(4*y - 39) Find i such that -3*i**3 + 205305699*i**2 + 205305702*i = 0. -1, 0, 68435234 Find j, given that j**5/2 + 36*j**4 - 128*j**3 - 4104*j**2 - 7560*j + 31968 = 0. -74, -6, 2, 12 Solve 5*v**4 + 1320*v**3 + 76655*v**2 - 1564080*v - 22036300 = 0 for v. -143, -134, -10, 23 Solve u**5 + 21137*u**4 + 2061819*u**3 - 63413*u**2 - 6227740*u - 4123644 = 0. -21039, -98, -1, 2 Suppose -u**3/2 + 408288*u**2 - 166686841629*u/2 - 2500670097135 = 0. What is u? -30, 408303 Let -2*j**4 - 9758*j**3 + 2532744*j**2 + 2562008*j - 5084992 = 0. Calculate j. -5126, -2, 1, 248 Suppose 2*f**5 + 3556*f**4/3 + 40280*f**3/3 - 226180*f**2/3 + 238114*f/3 - 18592 = 0. What is f? -581, -16, 1/3, 1, 3 Factor m**2/3 - 20359*m/3 - 135860. (m - 20379)*(m + 20)/3 Let 2*n**4/11 + 68026*n**3/11 - 544318*n**2/11 + 55674*n + 1224756/11 = 0. What is n? -34021, -1, 3, 6 Determine a so that -a**5 - 3355*a**4 + 781997*a**3 - 43295833*a**2 - 88951072*a - 44869888 = 0. -3577, -1, 112 What is v in 2*v**3/9 - 6344*v**2/9 - 218078*v/9 + 224420/9 = 0? -35, 1, 3206 Factor -87025*v**4 + 78504810*v**3 - 17708422741*v**2 + 1680269052*v - 39866596. -(v - 451)**2*(295*v - 14)**2 Solve 3*p**2 - 3075135*p - 218349708 = 0. -71, 1025116 Determine p so that 12*p**4 - 51477*p**3 - 1567098*p**2 - 4587597*p - 1049760 = 0. -27, -3, -1/4, 4320 Determine c, given that 14*c**3/3 + 22448366*c**2/3 - 230898920*c/3 + 64138600/3 = 0. -1603465, 2/7, 10 Factor -2*p**3/7 + 242420*p**2/7 - 7356828800*p/7 + 660152448000/7. -2*(p - 60560)**2*(p - 90)/7 Determine n, given that -n**2/7 + 4359073*n/7 + 1245450 = 0. -2, 4359075 Factor -4*o**3 - 262768*o**2 - 5516364*o. -4*o*(o + 21)*(o + 65671) Determine w so that -2*w**3/3 - 226108*w**2/3 + 1809152*w - 10855488 = 0. -113078, 12 Suppose 2*z**2 - 47894028*z + 286729739758098 = 0. Calculate z. 11973507 What is q in 4*q**4 + 9736*q**3 + 4380532*q**2 - 1878833808*q + 148962033936 = 0? -1359, 142 Factor o**3/3 - 238*o**2 - 95620*o/3 - 182600. (o - 830)*(o + 6)*(o + 110)/3 Suppose -2*x**4/7 - 16998*x**3/7 - 2076222*x**2 - 463010870*x + 2853334092 = 0. What is x? -7567, -469, 6 Factor -o**3/4 + 227123*o**2/4 + 1362846*o + 8177292. -(o - 227147)*(o + 12)**2/4 Find y such that -2*y**4 + 666140*y**3 - 55467146306*y**2 - 110936291040*y - 55468478592 = 0. -1, 166536 Factor -3*l**3/2 + 563931*l**2 + 20302245*l/2 + 45680598. -3*(l - 375972)*(l + 9)**2/2 Solve 5*a**2 + 165765690*a + 1373913199058805 = 0 for a. -16576569 Determine h so that h**3/5 - 3329*h**2 + 299318*h/5 - 532064/5 = 0. 2, 16, 16627 Find r such that 221*r**2/2 + 42181*r/2 + 197290 = 0. -181, -2180/221 Let -32*v**4/5 + 3426*v**3/5 + 10598*v**2/5 - 3426*v/5 - 10566/5 = 0. What is v? -3, -1, 1, 1761/16 Factor -4*j**3 + 2889712*j**2 - 521844416144*j - 20878400440960. -4*(j - 361234)**2*(j + 40) Find x, given that -4*x**3/7 - 93398*x**2/7 - 793610*x/7 - 373456/7 = 0. -23341, -8, -1/2 Find t, given that -27*t**4 - 336522*t**3 + 17628996*t**2 - 232342968*t + 50764896 = 0. -12516, 2/9, 26 Factor 4*p**3 + 12284*p**2 - 297120*p. 4*p*(p - 24)*(p + 3095) Let -4*l**4 - 2941949*l**3 + 8090394*l**2 + 2941949*l - 8090390 = 0. What is l? -735490, -1, 1, 11/4 Suppose -3*w**5 + 231*w**4 - 5268*w**3 + 28704*w**2 + 45696*w - 69360 = 0. Calculate w. -2, 1, 10, 34 Determine u so that -2*u**5 - 12142*u**4 + 48676*u**3 + 461820*u**2 + 729054*u + 328050 = 0. -6075, -3, -1, 9 Solve -2*p**4 + 956*p**3 - 113514*p**2 + 4269600*p - 21735000 = 0. 6, 75, 322 Factor 3*z**3/8 + 26710773*z**2 + 3805148983059663*z/8 + 3805148555687307/4. 3*(z + 2)*(z + 35614363)**2/8 Solve -796*z**2/5 + 7072*z/5 + 828/5 = 0. -23/199, 9 Determine z so that -3*z**3 - 2094705*z**2 - 365650133769*z - 365648039067 = 0. -349117, -1 Solve -2*q**4 - 2366*q**3 - 674492*q**2 - 1339536*q = 0 for q. -708, -473, -2, 0 Find y, given that -2*y**4/9 + 5020*y**3/9 - 1160458*y**2/9 - 3546736*y/9 + 522464 = 0. -4, 1, 261, 2252 Factor 2*q**2/7 + 151756*q/7 - 6833070/7. 2*(q - 45)*(q + 75923)/7 Factor 7*l**4 + 15255*l**3 + 19604*l**2 + 4356*l. l*(l + 1)*(l + 2178)*(7*l + 2) Suppose 20*t**4/9 - 370742*t**3/9 + 45306*t**2 + 704372*t/9 - 74144/9 = 0. Calculate t. -1, 1/10, 2, 18536 Find g such that -2*g**5 - 7456*g**4 - 7210046*g**3 - 482701680*g**2 - 1383415776*g = 0. -1828, -69, -3, 0 Let -z**2/7 + 6593*z - 2305050/7 = 0. What is z? 50, 46101 Factor -k**2 + 487*k + 5988. -(k - 499)*(k + 12) Factor 5*m**2/3 - 66687220*m/3 + 222359265566420/3. 5*(m - 6668722)**2/3 Find u such that 2*u**4/13 + 54*u**3 - 1422*u**2/13 - 3518*u/13 + 4236/13 = 0. -353, -2, 1, 3 Suppose -195*o**3 + 4554*o**2 + 3093*o - 1656 = 0. What is o? -1, 23/65, 24 Suppose -2*k**4/15 - 5668*k**3 - 3567226*k**2/15 + 1217416*k/5 = 0. What is k? -42468, -43, 0, 1 Factor -l**2 - 281141*l. -l*(l + 281141) Suppose 4*u**2 - 474568*u + 86238880 = 0. What is u? 182, 118460 Determine g so that -324*g**2 - 14703138*g - 667229219281/4 = 0. -816841/36 Let -4*j**5/3 + 1196*j**4/3 + 68276*j**3/3 - 3428*j**2 - 1537680*j - 5011200 = 0. What is j? -48, -5, 9, 348 Solve 2*u**4/19 + 201280*u**3/19 - 4831922*u**2/19 - 5033200*u/19 = 0. -100664, -1, 0, 25 Factor -2*h**3/11 + 11101252*h**2/11 + 88810112*h/11 + 177620288/11. -2*(h - 5550634)*(h + 4)**2/11 Factor 3*a**2 - 2499*a + 369216. 3*(a - 641)*(a - 192) Solve 174849*s**2 + 1923348*s + 99 = 0. -11, -3/58283 Suppose 4*i**5 + 26680*i**4 + 106512*i**3 - 959968*i**2 - 426112*i + 3412992 = 0. What is i? -6666, -8, -2, 2, 4 Factor 380*m**2 - 1403888*m + 620592. 4*(m - 3694)*(95*m - 42) Factor 2*n**2/7 - 3736*n/7 - 17154240/7. 2*(n - 4008)*(n + 2140)/7 Factor 9*t**5 + 2114*t**4 + 16480*t**3 + 32672*t**2. t**2*(t + 4)**2*(9*t + 2042) Let 47*i*
{ "pile_set_name": "DM Mathematics" }
)*(f + 23)/5 Factor -5971968/23 - 864/23*s**2 + 2/23*s**3 + 124416/23*s. 2*(s - 144)**3/23 Let d(v) be the third derivative of v**7/945 - 7*v**6/30 - v**5/90 + 95*v**4/27 - 28*v**3/3 + v**2 + 47*v. Let d(h) = 0. What is h? -2, 1, 126 Factor 1/7*c - 1/7*c**2 + 30/7. -(c - 6)*(c + 5)/7 Let p(r) be the first derivative of -171363*r**4/8 + 56165*r**3/2 + 714*r**2 + 6*r - 724. Find s such that p(s) = 0. -2/239, 1 Suppose -908 = -2*z + 3*k, 8*k - 11*k = -4*z + 1828. Factor b**3 + z*b - 476*b - 14*b**3 - 2*b**4 + 30*b**2 + b**3. -2*b*(b - 1)**2*(b + 8) Let c(x) be the third derivative of x**5/15 - 35*x**4/3 - 304*x**3 - 1133*x**2. Determine v, given that c(v) = 0. -6, 76 Let w(o) be the third derivative of o**8/168 - 4*o**7/105 - 5*o**6/2 + 232*o**5/15 - 467*o**4/12 + 52*o**3 + 1533*o**2. Factor w(z). 2*(z - 13)*(z - 1)**3*(z + 12) Let 140/11*k**3 - 680/11*k**2 + 64/11 + 80/11*k + 166/11*k**4 - 40/11*k**5 = 0. What is k? -2, -1/4, 2/5, 2, 4 Let o(v) be the third derivative of v**8/420 + 4*v**7/35 + 8*v**6/5 - 17*v**3/3 - 70*v**2. Let j(q) be the first derivative of o(q). Factor j(z). 4*z**2*(z + 12)**2 Suppose -22 = -r - 2*i, -6*r - 20502*i + 122 = -20500*i. Factor 1/6*f**4 - 19/3*f**3 - 61/3*f - r*f**2 - 41/6. (f - 41)*(f + 1)**3/6 Let k(u) = 90*u**3 - 315*u**2 + 2393*u - 4615. Let z(b) = -51*b**3 + 156*b**2 - 1196*b + 2308. Let o(w) = 4*k(w) + 7*z(w). Let o(i) = 0. Calculate i. 4, 48 Let b be -4 + (0 - 1224)/2. Let c be (28/b)/(3/(-6)). Find l, given that 1/11*l**3 - c*l**2 + 0 + 0*l = 0. 0, 1 Let q(y) = -2*y + 18. Let u(n) = -3*n + 35. Let h(b) = -5*q(b) + 3*u(b). Let m be h(6). Let -4*f**2 + 100*f - 24 - m*f**2 + 9*f**2 = 0. Calculate f. 1/4, 6 Let l(s) be the first derivative of 54/35*s**5 + 72/7*s - 120/7*s**2 - 93/14*s**4 - 71 + 102/7*s**3 - 1/7*s**6. Find r such that l(r) = 0. 1, 2, 3 Let c(k) be the third derivative of -k**5/15 + 161*k**4/6 + 625*k**2. Solve c(u) = 0 for u. 0, 161 Let y be -3 + 1330/406*(-5)/(-3). Let k = y - -6/29. Factor 2/3*h + 0 - 4/3*h**4 - k*h**2 + 10/3*h**3. -2*h*(h - 1)**2*(2*h - 1)/3 Let y be (-6)/(-9)*(17 + -23 - -9). Factor 6/23*v - 4/23 - 2/23*v**y. -2*(v - 2)*(v - 1)/23 Suppose 776*c + 5538*c**2 - 152*c**3 + 148*c**3 - 5158*c**2 = 0. Calculate c. -2, 0, 97 Let i(g) be the first derivative of -55*g**4/4 - 106*g**3/3 - 47*g**2/2 + 4*g + 2317. Find p such that i(p) = 0. -1, 4/55 Suppose 19 = -11*q + 41. Factor -15/8*w**q + 0*w + 3/2*w**3 + 3/8*w**4 + 0. 3*w**2*(w - 1)*(w + 5)/8 Factor -180 - 16*t - 3*t**2 - 116*t - 51*t. -3*(t + 1)*(t + 60) Let r(a) be the second derivative of -35*a**7/2 + 2296*a**6/3 - 5479*a**5/4 + 1375*a**4/6 + 1510*a**3/3 - 300*a**2 - 18*a + 20. Suppose r(y) = 0. What is y? -1/3, 2/7, 1, 30 Let l(c) be the first derivative of 60 + 114*c**2 + 112*c**2 - 223*c**2 + 19*c**3. Factor l(z). 3*z*(19*z + 2) Let w be (51/5)/(4 - 39/(-6)). Let s = 39/35 - w. Factor 3/7 - 4/7*l + s*l**2. (l - 3)*(l - 1)/7 Let d(c) be the third derivative of 0 + 0*c + 0*c**5 + 2/3*c**3 - 1/60*c**6 + 1/4*c**4 - 153*c**2. Suppose d(a) = 0. Calculate a. -1, 2 Find m, given that 77*m + 248/9*m**2 + 1/9*m**5 - 2/3*m**4 - 98 - 6*m**3 = 0. -6, -3, 1, 7 Let p(z) = -5*z**5 + 327*z**4 + 674*z**3 + 7*z**2 - 666*z - 343. Let q(m) = m**4 + 2*m**3 + m**2 - 3*m + 1. Let g(b) = p(b) + 3*q(b). Factor g(r). -5*(r - 68)*(r - 1)*(r + 1)**3 Solve -6190144/3 - 1/3*j**2 + 4976/3*j = 0 for j. 2488 Let q(v) = -2*v**2 - 47*v - 66. Let i be q(-22). Let n = 1/11 + i. Suppose -n*z**3 - 1/11*z**2 + 1/11 + 1/11*z = 0. Calculate z. -1, 1 Let j(h) = -h**2 + 10*h + 28. Let p be j(12). Let v be 1*(p + -9 - -10). Factor -18 + 9 + v - 7*x - 2*x**2 + x. -2*(x + 1)*(x + 2) Let a(y) be the first derivative of 3/20*y**4 - 210 + 1/5*y**3 + 1/25*y**5 + 1/10*y**2 + 0*y. Factor a(r). r*(r + 1)**3/5 Let k be (15/((-2025)/18))/((-2)/(-20)). Let p = -34/39 - k. Factor 4/13*a - 8/13*a**3 - 2/13*a**2 + p*a**4 + 0. 2*a*(a - 1)**2*(3*a + 2)/13 Factor -25233/10*n**2 + 18724*n - 182408/5 - 1/10*n**4 + 31*n**3. -(n - 151)**2*(n - 4)**2/10 Factor 8675*v + 75 + v**2 - 8712*v - 5. (v - 35)*(v - 2) Factor 0*f**2 - 8/13*f + 0 + 6/13*f**3 - 2/13*f**4. -2*f*(f - 2)**2*(f + 1)/13 Let z be ((-3)/7 + 0)/((-10920)/50960). Find j such that 0*j**z - 3/2*j + 1/6*j**3 + 0 = 0. -3, 0, 3 Let d = 151318/5 + -30263. Solve -1/5*w**2 + 2 - d*w = 0 for w. -5, 2 Let k = 4282/3135 + -34/1045. Let q = -57 + 59. Find m, given that -m**q + 0 + k*m**3 + 0*m - 1/3*m**4 = 0. 0, 1, 3 Suppose 68*a**3 - 66*a**3 + 699*a - 1407*a**2 + 702 + 4*a**3 = 0. Calculate a. -1/2, 1, 234 Let g be (((-2)/4)/(5/700))/(-1). Suppose -67 = c - g. Factor c*y**2 + 13*y - 8*y + 4*y. 3*y*(y + 3) Let x(l) be the second derivative of l**4/36 - 131*l**3/18 + 1560*l. Factor x(i). i*(i - 131)/3 Let s be (462/385)/((-7)/5)*-7. Suppose 2*k - s = -3*v, 4*k - 7 + 1 = -3*v. Find y, given that -6/5*y + 18/5 - 2/5*y**3 - 2*y**v = 0. -3, 1 Determine r, given that 120 - 36*r - 252*r**4 + 255*r**4 - 42*r**2 + 456*r**3 + 468*r**3 - 915*r**3 = 0. -5, -2, 2 Let o = 3668/163 - 1/326. Let s(k) = -3*k**3 - 489*k**2 - 6263*k - 68. Let n be s(-14). Factor -375/2 + 3/2*i**3 + 225/2*i - o*i**n. 3*(i - 5)**3/2 Suppose 3*r + f = 40, -2*r + 21 - 20 = -3*f. Let v(w) be the first derivative of r - 17/6*w**3 - 15/4*w**2 + w. Factor v(y). -(y + 1)*(17*y - 2)/2 Suppose -4*j + 9*j + 116 = -2*p, -252 = 5*p + 3*j. Let i be (2/(-28))/(-17 - 808/p). Solve i*o**2 - 9/7*o - 12/7 = 0. -1, 4 Let n = -79 + 43. Let r = -30 - n. Solve 42 - 80*o + 0 + r + 12*o**2 = 0 for o. 2/3, 6 Let g = -966383/8 + 120798. Determine f so that f**2 + 0 - 3/2*f - g*f**4 + 5/8*f**3 = 0. -2, 0, 1, 6 Let o be ((-468)/63)/26 - ((-100)/(-21))/(-5). Let -o*s - 1/3*s**2 + 5 = 0. Calculate s. -5, 3 Let m be (-5)/(-7)*7 - 0/1. Factor 3*v**m - 377*v + 377*v - 3*v**3. 3*v**3*(v - 1)*(v + 1) Let w(q) = -q**2 + 4*q + 8. Let x be w(6). Let n be x/(2*(-3)/6). Determine a, given that -n*a**3 + 14*a**3 + 2*a**4 + 0*a**4 + 20*a + 35*a**2 - 7*a**4 = 0. -1, 0, 4 Let t = 5279 - 5279. Let n(x) be the first derivative of t*x - 14 - 3*x**2 + 10/3*x**3 - x**4. Let n(w) = 0. What is w? 0, 1, 3/2 Let t be 4/6 + (-92)/(-69). Factor 2*j**t - 54*j + 46*j + 2*j**2. 4*j*(j - 2) Let o(f) be the first derivative of -16/3*f - 32/9*f**3 + 5/12*f**4 + 46 + 26/3*f**2. Factor o(m). (m - 4)*(m - 2)*(5*m - 2)/3 Let m = 306 - 302. Let z(y) = -9*y**4 - 5*y**3 + 17*y**2 + 3*y. Let v(n) = 8*n**4 + 4*n**3 - 16*n**2 - 4*n. Let p(k) = m*z(k) + 5*v(k). Solve p(j) = 0 for j. -1, 0, 2 Let m(c) be the first derivative of -12/5*c**5 - 5 - 20/3*c**3 - 2/3*c**6 + 0*c + 0*c**2 + 9*c**4. Factor m(u). -4*u**2*(u - 1)**2*(u + 5) Let l(z) be the second derivative of -4/27*z**4 - 4/63*z**7 - 5 - 23/90*z**5 + 0*z**2 - 28/135*z**6 - 9*z - 1/27*z**3. Solve l(n) = 0. -1, -1/2, -1/3, 0 Let n(z) be the third derivative of 1/18*z**5 + 1/105*z**7 + 1/30*z**6 + 6*z**2 + 1/1008*z**8 + 0 + 0*z**3 + 1/24*z**4 + 9*z. Find x such that n(x) = 0. -3, -1, 0 Let n(i) be the first derivative of i**4 + 8*i**3/3 - 18*i**2 - 72*i + 1321. Factor n(u). 4*(u - 3)*(u + 2)*(u + 3) Suppose 0 = -34*z - 21*z + 145 + 185. Let t(r) be the third derivative of z*r**2 + 0*r + 1/84*r**4 + 0 - 1/14*r**3 + 1/420*r**5. Solve t(j) = 0 for j. -3, 1 Let a(c) be the second derivative of -41*c - 11/100*c**5 - 27/10*c**3 - 3/4*c**4 + 0 - 27/5*c**2 - 1/150*c**6. Find j, given that a(j) = 0. -3, -2 Suppose -1207 = -3*i + j, -j + 397 = 4*i - 3*i. Let h = 404 - i. Factor 0 + 0*v**h + 4/5*v**5 + 0*v**2 - 2/5*v**4 + 0*v. 2*v**4*(2*v - 1)/5 Let y(t) be the first derivative of 3*t**4/20 + 3*t**3 + 21*t**2/5 + 1540. Factor y(u). 3*u*(u + 1)*(u + 14)/5 Suppose -5*s + 3 - 28 = 0. Let r(d) = 7*d**2 + 88*d + 4. Let l(x) = -15*x**2 - 175*x - 10. Let f(m) = s*r(m) - 2*l(m). Factor f(z). -5*z*(z + 18) Let n(x) be the third derivative of -3*x**6/440 - 7*x**5/330 + 10*x**4/33 - 16*x**3/33 + 888*x**2. Let n(s) = 0. Calculate s. -4, 4/9, 2 Suppose 10 = -4*x + 22. Let z be 33936/40 + (3 - 51/15). Factor 848*k**4 - z*k**4 - 5*k - 5*k**5 + 10*k**x. -5*k*(k - 1)**2*(k + 1)**2 Let z(i) be the third derivative of -190*i**2 + 192/5*i**3 + 0 + 673/150*i**5 - 1/6*i**6 - 20*i**4 + 1/525*i**7 + 0*i. Factor z(v). 2*(v - 24)**2*(v - 1)**2/5 Let a(d) = -d**5 + d**2 + 3*d - 1. Let u(p) = -4*p**5 + 6*p**3 + 11*p**2 + 12*p - 3
{ "pile_set_name": "DM Mathematics" }
mber? True Is 683442229 prime? False Is 980096419 prime? True Is 43770218189 prime? False Is 258490217 composite? True Is 73938229 a composite number? False Is 998677283 a composite number? True Is 39603751139 composite? True Is 1072472459 a composite number? False Is 21106343 prime? True Is 23388654527 a prime number? False Is 126630941093 prime? False Is 1261301201 composite? False Is 8073826447 a prime number? False Is 2178261719 composite? False Is 9556331 a composite number? False Is 75350131 prime? False Is 7696050079 a prime number? False Is 52465001669 a composite number? True Is 262877938647 prime? False Is 98130446221 prime? True Is 1391753593 prime? False Is 4059299789 a prime number? True Is 2908284773 composite? True Is 5937940573 prime? True Is 255140939 a prime number? False Is 1669305481 composite? False Is 3241511171 composite? False Is 656455271 a composite number? False Is 611598209 composite? False Is 68195411 a composite number? True Is 2904414473 a composite number? False Is 6074828189 a composite number? False Is 6919990249 a composite number? True Is 21395002 a composite number? True Is 1155626677 prime? False Is 115970154133 prime? True Is 8481859667 prime? False Is 2396005501 a prime number? False Is 11272735039 prime? True Is 6879017291 a prime number? True Is 604005371 a prime number? True Is 9862226003 a composite number? True Is 9159901 prime? True Is 1413743741 prime? True Is 6208219813 a prime number? True Is 12909063971 composite? True Is 5570455607 composite? False Is 5387631331 a composite number? False Is 11863006579 prime? True Is 724801541 composite? False Is 613351085 a prime number? False Is 184858027 a prime number? True Is 3524169847 a prime number? False Is 17949712961 a prime number? False Is 449737991 prime? False Is 10093132877 prime? True Is 159513773 composite? False Is 38327245043 a prime number? True Is 2835222203 a prime number? False Is 162663244487 prime? False Is 251731651 a composite number? True Is 14543509907 prime? False Is 19795872353 a prime number? True Is 427815943 a composite number? False Is 4188275519 prime? False Is 1985870857 a prime number? True Is 566610973 composite? False Is 612695599 composite? True Is 11415987697 prime? False Is 1897115743 prime? False Is 900793337 prime? True Is 71295108697 a prime number? True Is 30230683 composite? True Is 6024326239 composite? True Is 1071312833 prime? False Is 10560275807 a composite number? False Is 2388415199 prime? True Is 310408009 composite? True Is 11712853 prime? True Is 929057911 a composite number? True Is 115209581 a prime number? True Is 1569991391 a prime number? True Is 30256915597 a prime number? True Is 49154525809 composite? False Is 2587039303 prime? False Is 70497839 composite? True Is 15181263851 prime? False Is 6902338853 prime? True Is 345238679 a composite number? False Is 39185717 prime? True Is 1683592583 prime? True Is 14490567961 a prime number? False Is 2241853751 prime? True Is 41276830963 prime? False Is 413724203 prime? True Is 41946588427 composite? False Is 62345911 composite? True Is 38326170367 prime? True Is 191441136077 composite? False Is 9671774998 a prime number? False Is 4918019543 a composite number? False Is 42004250501 a composite number? False Is 889633317 a composite number? True Is 63806483035 a prime number? False Is 7891558102 a prime number? False Is 1168104995 prime? False Is 92364072419 a composite number? False Is 387058171 a prime number? True Is 1121320237 a composite number? False Is 108683507 a composite number? True Is 486890777 a composite number? False Is 24646010803 a composite number? True Is 41676031829 a composite number? False Is 1593024193 a prime number? True Is 1239903899 a prime number? False Is 5008526947 prime? True Is 1958315839 composite? False Is 85477623883 composite? False Is 31967702861 prime? True Is 37607210197 a composite number? False Is 14262318043 a prime number? True Is 1866486169 composite? True Is 568482209 a prime number? True Is 585948263 a composite number? False Is 2123998553 prime? True Is 114669404749 a composite number? True Is 73810890779 composite? True Is 204066757 a composite number? True Is 30746387237 composite? False Is 34763821 a prime number? False Is 14922277321 prime? False Is 609036473 composite? False Is 5543589097 prime? False Is 37972321027 composite? True Is 73038631151 prime? False Is 693439871 composite? False Is 68732351794 composite? True Is 1507314091 composite? False Is 8263811491 a composite number? True Is 1061561 prime? True Is 74965856699 a composite number? False Is 2295628291 a prime number? False Is 53610869867 composite? False Is 4895648351 a composite number? True Is 437934271 prime? False Is 23452731433 a prime number? False Is 46602359329 composite? True Is 271998883 composite? True Is 33517799041 composite? True Is 5071645349 a prime number? True Is 6723156371 a prime number? False Is 1287971987 a prime number? False Is 434324409 prime? False Is 7573345319 composite? False Is 5150217131 a prime number? True Is 625041497 a prime number? True Is 47072713 a composite number? True Is 319207856117 a composite number? False Is 14505848873 composite? False Is 14897340149 a prime number? True Is 1011111679 prime? True Is 19763072359 prime? False Is 7295197577 a composite number? True Is 465628097 a composite number? True Is 4928824337 composite? False Is 755503019 prime? True Is 427655479 composite? True Is 26564512993 a prime number? True Is 20941892705 prime? False Is 34482850147 composite? True Is 370820669 a prime number? True Is 373387489 composite? False Is 5348140477 composite? True Is 1016949121 composite? False Is 638346217 prime? True Is 44971021717 a prime number? True Is 16239335703 a composite number? True Is 62452387 prime? True Is 39523324111 composite? False Is 4146743 a composite number? False Is 124540111 a prime number? True Is 2082496573 a composite number? True Is 14205444761 a prime number? True Is 183332063701 composite? True Is 88696933823 a prime number? False Is 9043621021 prime? False Is 3420405757 composite? True Is 46731434327 prime? True Is 1794121253 prime? False Is 51293557099 a composite number? False Is 69358247 composite? True Is 644117633 a prime number? False Is 23979347339 composite? True Is 368084083 prime? True Is 43184274199 composite? True Is 619422199 a composite number? True Is 22070195023 composite? True Is 157280891 prime? False Is 238636217 a prime number? True Is 289044517 prime? True Is 5918953 prime? True Is 161541697 a composite number? True Is 64101480699 composite? True Is 298830397 prime? True Is 5635355983 prime? True Is 895462783 composite? True Is 39672252461 composite? False Is 3766901414 a composite number? True Is 347317417 composite? True Is 6170053811 composite? False Is 57817439 composite? False Is 10285137817 composite? True Is 42504537121 a composite number? False Is 57449461 a prime number? True Is 1565759147 prime? False Is 30853916227 a prime number? False Is 16120483859 a prime number? True Is 540161093 a prime number? False Is 206311289 composite? False Is 753660503 prime? True Is 64206340883 prime? True Is 62497697621 a prime number? True Is 19179210367 a composite number? False Is 21238843 a prime number? True Is 1997217067 a prime number? False Is 61250673599 prime? False Is 116441771 a composite number? False Is 64496008081 a prime number? True Is 333480307 prime? False Is 163876847 composite? False Is 3384704597 composite? True Is 2838341359 a composite number? True Is 15471545 composite? True Is 44081353937 composite? True Is 19995220447 composite? False Is 3439777417 composite? False Is 9885706891 composite? False Is 5655163013 a prime number? False Is 439622237 composite? True Is 1387801435 a prime number? False Is 7404515329 a prime number? True Is 7553488511 prime? False Is 4784663267 composite? True Is 72084713 a composite number? True Is 18556357811 a composite number? True Is 1527374251 a composite number? True Is 619684691 composite? False Is 11616403639 a composite number? True Is 111257541557 prime? False Is 3168437309 a composite number? False Is 2548275757 a prime number? False Is 98995398179 a composite number? True Is 407854
{ "pile_set_name": "DM Mathematics" }
-2*i**3 Collect the terms in 572 - 572 - m**3. -m**3 Collect the terms in 7 - 3*l - 7 - 9*l. -12*l Collect the terms in 1 - 2 + 1 - 64*h. -64*h Collect the terms in 8*y**3 + 9*y**3 - 18*y**3. -y**3 Collect the terms in 6256 - a - 5*a**3 - 6256. -5*a**3 - a Collect the terms in -13*b**2 - 4*b**2 + 5*b**2 + 4*b**2 + 5*b**2. -3*b**2 Collect the terms in -3*j - 51 - 47 + 145 - 47. -3*j Collect the terms in 15 - 11*k**2 - k**3 + 11*k**2. -k**3 + 15 Collect the terms in -4817578 + 2*k + 4817578. 2*k Collect the terms in -7*y + 1 - 1 - 3*y. -10*y Collect the terms in 36*g**2 - 193*g - 37*g**2 + 193*g. -g**2 Collect the terms in -7 - q - 217 + 224. -q Collect the terms in -1 - 2 + 3 + 529*z**2. 529*z**2 Collect the terms in 259*r**2 + 3*r**3 - 259*r**2. 3*r**3 Collect the terms in -730 - 75*v**3 + 730 - 149*v**3. -224*v**3 Collect the terms in -6*w**3 - w**3 + w**3 + 8*w**3. 2*w**3 Collect the terms in -4*d**3 + 692*d - 692*d. -4*d**3 Collect the terms in b**2 + 2*b**2 + 10*b**2 - 8*b**2 - 6*b**2. -b**2 Collect the terms in 12*z**2 - 31*z**2 - 7*z**2. -26*z**2 Collect the terms in -2*a**3 - 25474*a**2 + 25474*a**2. -2*a**3 Collect the terms in 2*v - v - 9*v + 3*v. -5*v Collect the terms in p + 20 - 41 + 2*p. 3*p - 21 Collect the terms in -20*p - 18*p + 56*p - 17*p. p Collect the terms in w - 23682 - w + 7*w**3 + 23682. 7*w**3 Collect the terms in -8 - 17 - 2 + 27 + 2*y**3. 2*y**3 Collect the terms in 666*n - 2*n**2 - 666*n + 10*n**2. 8*n**2 Collect the terms in -10*a**3 + 21*a**3 - 15*a**3. -4*a**3 Collect the terms in 89*y - 24 + 24. 89*y Collect the terms in -3*l - 27*l - 10*l + 4*l. -36*l Collect the terms in 120*l**2 - 88*l**2 + 94*l**2 - 3*l. 126*l**2 - 3*l Collect the terms in -4 - 4 - 19*g + 8. -19*g Collect the terms in 54*k + 2*k**2 + k**2 - 54*k. 3*k**2 Collect the terms in 1174 - 1174 - 2*n + 3*n. n Collect the terms in -234*q**3 + 8*q**2 + 214*q**3 - 8*q**2. -20*q**3 Collect the terms in -6*m**3 + 768 - 768. -6*m**3 Collect the terms in 18*g + 14*g - 33*g. -g Collect the terms in -2242*p**2 - 6*p**3 + 2242*p**2. -6*p**3 Collect the terms in -149 + 149 - 7*t**2 + 5*t**2. -2*t**2 Collect the terms in 0*o + o - 3*o + 8*o - 4*o. 2*o Collect the terms in -39*r**2 - 5*r**2 - 79*r**2. -123*r**2 Collect the terms in -1886 - f + 1886. -f Collect the terms in 5*k**2 + 6*k**2 + 3*k**2 - 6*k**2. 8*k**2 Collect the terms in 0 - 27*j + 2 + 29*j. 2*j + 2 Collect the terms in -19*x**2 - 2*x**2 + 24*x**2. 3*x**2 Collect the terms in -101*a**2 - 97*a**2 + 294*a**2 - 99*a**2. -3*a**2 Collect the terms in 7*v**2 + 9*v**2 - 21*v**2 + 4*v**2 + 6*v. -v**2 + 6*v Collect the terms in -l + 6*l - 5*l - l**3. -l**3 Collect the terms in w - 3*w + 6*w - 6*w. -2*w Collect the terms in 2*k - 14*k - 30*k. -42*k Collect the terms in 98*v + 101*v - 403*v + 94*v + 100*v. -10*v Collect the terms in 22*z**3 - 30*z**3 + 14*z**3. 6*z**3 Collect the terms in 2791*q - 2791*q - 12*q**2. -12*q**2 Collect the terms in x**3 + 34 - 2*x**3 + 50 + 2. -x**3 + 86 Collect the terms in 374*o + 2*o**3 - 374*o. 2*o**3 Collect the terms in -1 - 1 - 52*s - 80*s. -132*s - 2 Collect the terms in -8*y + 97*y - 2*y**2 + 20*y. -2*y**2 + 109*y Collect the terms in 381*r - 755*r + 376*r. 2*r Collect the terms in 63*b + 76*b - 127*b. 12*b Collect the terms in -322*h**3 + 2*h + 320*h**3 - 7*h + 5*h. -2*h**3 Collect the terms in 21*n - 21*n + 196*n**3. 196*n**3 Collect the terms in 5624*b**2 - 2*b**3 - 5624*b**2. -2*b**3 Collect the terms in -4*q - q + 5*q + 97*q**2. 97*q**2 Collect the terms in 4*s - 907 + 884 - s. 3*s - 23 Collect the terms in -9*d**2 - 38*d**2 - 10*d**2. -57*d**2 Collect the terms in -2*j + 8*j - 17*j**2 - 6*j. -17*j**2 Collect the terms in -5*o**2 + o**2 + 250*o - 250*o. -4*o**2 Collect the terms in 9 - 9 - 12*g**3. -12*g**3 Collect the terms in -21*y**3 - 22*y**3 + 37*y**3. -6*y**3 Collect the terms in -k - 6*k + 10*k. 3*k Collect the terms in -7*z - 64*z - 59*z. -130*z Collect the terms in -8*z**3 - 2*z**3 - 12*z**3. -22*z**3 Collect the terms in -17*y + 6 + 0*y + 3 + 2*y. -15*y + 9 Collect the terms in -73 + 73 + b. b Collect the terms in -18*z**3 + 6*z**3 + 6*z**3 + 11*z**3. 5*z**3 Collect the terms in 8*d**2 + 17*d**2 - 23*d**2 + d**2. 3*d**2 Collect the terms in -3*v**3 - v**3 + 0*v**3. -4*v**3 Collect the terms in 64*l + 26*l - 22*l + 55*l. 123*l Collect the terms in 5*t**2 + 2*t**2 + 4*t**3 - 7*t**2. 4*t**3 Collect the terms in -3*l + 3*l + l + 6*l. 7*l Collect the terms in -25*q**2 - 45*q**2 + 64*q**2. -6*q**2 Collect the terms in -6 + 6 + 5 + 4*d**2 - 5. 4*d**2 Collect the terms in -x**2 + 3*x**2 - 5*x**2. -3*x**2 Collect the terms in 5*p + p + 5*p - 3*p. 8*p Collect the terms in -483*z + 967*z - 484*z - 17*z**3. -17*z**3 Collect the terms in 26*l - 56*l + 8*l**2 + 30*l. 8*l**2 Collect the terms in 20*n - 152 + 311 - 159. 20*n Collect the terms in 562 - 562 + 2*v. 2*v Collect the terms in -11*z**3 - 2*z**3 + 29*z**3 - 12*z**3. 4*z**3 Collect the terms in 155 - 155 - 5*l. -5*l Collect the terms in 97*a - 35*a - 29*a + a**2 - 33*a. a**2 Collect the terms in 10*m - 5*m + 360 - 360. 5*m Collect the terms in 2125*q**2 - 1062*q**2 + 4*q**3 - 1063*q**2. 4*q**3 Collect the terms in -4 + 11*h**3 + 0 + 6. 11*h**3 + 2 Collect the terms in -3*x**3 - x**3 + 0*x**3. -4*x**3 Collect the terms in -4*y**2 + 4*y**2 + 9*y**2 + 27*y**2. 36*y**2 Collect the terms in -15*j + 7*j - 6*j - 18*j. -32*j Collect the terms in 644*h - 317*h - 320*h. 7*h Collect the terms in 17*t**3 - 18*t**3 - 7*t**3. -8*t**3 Collect the terms in 598 - 4*j + 2*j - 98. -2*j + 500 Collect the terms in 7*h**2 + 0*h**2 + 9*h**2. 16*h**2 Collect the terms in 1788*i - 1788*i + 3*i**3. 3*i**3 Collect the terms in 27*y**3 + 2 - 2. 27*y**3 Collect the terms in 6 + 2*n - 6. 2*n Collect the terms in 62*k - 133*k + 64*k - 2. -7*k - 2 Collect the terms in -642 + 642 - 252*i. -252*i Collect the terms in -13879*a**2 - 21*a**3 + 13879*a**2. -21*a**3 Collect the terms in 22 + 10 + 5*h**2 - h**2 + 11. 4*h**2 + 43 Collect the terms in 10*a**3 + 15*a**3 - 3467 - 26*a**3 + 3467. -a**3 Collect the terms in 101*o - 51*o - 53*o. -3*o Collect the terms in -1186*a**3 - 1207*a**3 + 2385*a**3. -8*a**3 Collect the terms in -3*f**2 - 112 + 112 + 2*f**2. -f**2 Collect the terms in -59*f + 58*f - 36 + 36. -f Collect the terms in -2*q - 3*q + 5*q + 3*q. 3*q Collect the terms in -64*l**3 + 138*l**3 - 56*l**3. 18*l**3 Collect the terms in 10*o**2 + 132 - 132. 10*o**2 Collect the terms in 5*n - 66 - 4*n + 409. n + 343 Collect the terms in 4*u - 9815 + 9815 - 4*u + 17*u**2. 17*u**2 Collect the terms in -66*l**3 + 198*l**3 - 65*l**3 - 64*l**3. 3*l**3 Collect the terms in -3439*c + 6882*c - 3441*c. 2*c Collect the terms in -49*u + 35*u + 16*u. 2*u Collect the terms in -9 - 2*h + 9 + 6*h. 4*h Collect the terms in -y + 0*y - 2*y + 7*y - 3*y. y Collect the terms in 9*r**2 + 4*r**2 - 3*r**2 - 5*r**2. 5*r**2 Collect the terms in -2 - 7*n**2 + 3*n**2 + 1 - 4. -4*n**2 - 5 Collect the terms in -8*g**2 + 7*g**2 + g**2 + 4*g**2 - 10*g. 4*g**2 - 10*g Collect the terms in -36*i - 1009 + 1009. -36*i Collect the terms in 4*x**3 - 8*x**3 - 3*x**3. -7*x**3 Collect the terms in 661*o + o**2 - 661*o - o**2 + 3*o**3. 3*o**3 Collect the terms in -18*n**2 - 2*n**3 - 4*n**2 + 7*n**3 + 18*n**3. 23*n**3 - 22*n**2 Collect the terms in -20*c**3 - 10*c**3 + 13*c**3. -17*c**3 Collect the terms in 5 + 3*b**3 - b**3 - 3*b**3. -b**3 + 5 Collect the terms in -2 - b**2 + 21*b**2 - b**2. 19*b**2 - 2 Collect the terms in -438*g**3 + 210*g**3 + 221*g**3. -7*g**3 Collect the terms in -104*n + 210*n - 107*n. -n Collect the terms in 9*s**2 - 7*s**2 + 7*s**2 - 6*s**2. 3*s**2 Collect the terms in -14*h**2 - 5*h**2 - 3*h**2. -22*h**2 Collect the terms in -y**2 - 18482*y + 4*y**2 + 18482*y. 3*y**2 Collect the terms in 21 - 11 - 10 + 3*k**2. 3*k**2 Collect the terms in 8 - 48*u + 90*u - 41*u. u + 8 Collect the terms in 5 - 2 - 3 - 2*k. -2*k Collect the terms in -2*q**2 - 2*q**2 + 0*q**2 - 8*q**3 - 4*q**3. -12*q**3 - 4*q**2 Collect the terms in -34*m**2 - 85*m**2 - 49*m**2. -168*m**2 Collect the terms in 3986*y**2 + 3974*y**2 - 7959*y**2. y**2 Collect the terms in -6 - 8*g + 32 - 26. -8*g Collect the terms in -c + 5 - 3 - 2. -c Collect the terms in 4*m**3 - 6*m**3 + 9*m**3 - 4*m**3 - m**3. 2*m**3 C
{ "pile_set_name": "DM Mathematics" }
Let w be b(5). Suppose 3*j + q - 182 = -0*q, -w*q = 5*j - 315. Is j prime? True Suppose -r = -3*c - 355, -r - 1813 = -6*r - 4*c. Let u = -16 + r. Suppose 0 = 4*t + t - u. Is t prime? False Let k = -77 + 38. Let y be ((-28)/(-35))/((-2)/(-45)). Let g = y - k. Is g a composite number? True Let s = 679 - 224. Suppose j + 4*j = s. Is j a composite number? True Suppose -13*o + 4421 + 11946 = 0. Is o prime? True Is 4*20 + 1 - 2 prime? True Suppose -2*y - 10 = 0, 5*r + 3*y + 35 = -2*y. Is (-1)/(-2) - 691/r composite? True Suppose 4*t + 10*a = 5*a + 1032, 2*t = -a + 522. Is t composite? False Let f(q) = -q**3 - 6*q**2 - 5*q - 1. Let z = -4 + -1. Let o be f(z). Is (254/6)/(o/(-3)) a composite number? False Suppose 0*g - 546 = -5*g - 4*t, -4*g - 4*t + 440 = 0. Let b(v) = -v**2 - 12*v + 5. Let x be b(-9). Let s = g - x. Is s composite? True Let q be 3/15 + 488/10. Let l = 28 + q. Is l a composite number? True Suppose -100 - 11 = -3*v. Is v prime? True Let z = 11 - 7. Suppose -z*y = -j - 24, -j - 1 + 5 = 0. Suppose -i = y - 118. Is i prime? False Suppose 2*z + 8 = -4*q, 6*z + 5 = 4*z - 3*q. Suppose -4*y + h - 65 = 0, -2*y + z*h = 21 + 19. Let i = 20 - y. Is i a composite number? True Let b = -225 - -520. Is b a composite number? True Suppose -4*k - 2*b + 941 + 73 = 0, k = 4*b + 231. Is k a composite number? False Let o(f) be the first derivative of 8*f**2 + 3*f**3 - 1 - 2*f**2 - f - 5*f**2. Is o(1) prime? False Suppose -2*y - 80 + 474 = 0. Let g(n) = -n**3 - 10*n**2 - 2*n - 7. Let x be g(-6). Let q = y + x. Is q prime? False Suppose -5*m + 2*m + 22 = r, 0 = -2*m - 4*r + 8. Is (-12)/16 - (-4702)/m a composite number? False Suppose 388 = 5*n - 537. Suppose -9 = -i + n. Suppose 6*l = 4*l + o + i, 3*o = 5*l - 485. Is l composite? False Is (921/(-6))/((-2)/4) composite? False Let t be 1*(2 + 39 - -1). Let u = t + -10. Suppose 12 + u = 2*n. Is n a prime number? False Let h = 190 - 29. Is h a prime number? False Let c(p) = 4*p**2 - 2*p + 1. Let j(o) = -o**2 + o - 1. Let v(k) = -c(k) - 5*j(k). Is v(6) a prime number? False Let g = -1455 - -3073. Is g composite? True Let y(m) = m**3 - 3*m**2 - 2*m - 2. Let n be y(4). Suppose n*g - 3*g = 0. Let j = 19 + g. Is j a composite number? False Let k = 8 + -12. Is (1 - -1)/k*-38 a prime number? True Let c = 3 + 0. Suppose j + 5*o = -0*j, 5*o = -c*j. Suppose -q + 4*q - 39 = j. Is q a composite number? False Suppose 4*h + 4 = 0, -a - a + 935 = -h. Is a composite? False Let d(b) = 11*b**2 - b - 2. Let m be d(-9). Is m/6 - (-4)/(-6) composite? False Suppose -3*o + 618 = -447. Suppose 5*s = -0*s + o. Is s prime? True Let n(w) = w**2 - 5*w - 3. Is n(19) composite? False Let k be 3/((-9)/6) + -2. Let t = 4 + k. Suppose 4*f - 2*u - 31 = 55, t = 4*u - 4. Is f a prime number? False Suppose 0 = -3*m - 1 - 11, 0 = c - m + 95. Let i = -64 - c. Is i prime? False Let h be 2/(-6)*(-30 + -3). Suppose 3 - h = -4*i. Is i/(-4)*2*-47 a composite number? False Is 31 - -3*4/6 a composite number? True Suppose -2*g + o = -1955, -2*g - 982 = -3*g + 5*o. Is g prime? True Suppose 3*f + 0*z + 2002 = 5*z, -3*f = 5*z + 1982. Let o = 223 - f. Is o a prime number? True Let a be 100/15 - 2/(-6). Let u(k) = k**2 + 7. Let j be u(a). Let b = 93 - j. Is b a composite number? False Let i(t) be the first derivative of t**2/2 + t + 1. Let s be i(5). Is 2*(-2 + 123/s) composite? False Let b = -16 - -238. Suppose 0*m - a - 148 = -2*m, -3*m + b = 2*a. Is m prime? False Let w(x) = -2*x + 2. Let b be w(-3). Let u(k) = k**3 - 9*k**2 + 10*k - 5. Is u(b) a prime number? True Let n be 7/2*(-2)/1. Let g = -4 - n. Suppose 48 = 2*t - 4*k, 92 = 4*t - k - g*k. Is t a composite number? True Suppose 2*s - 10 = -0*s, -2*s = 2*v - 16. Suppose -v*d + 446 = 4*o, 0 = 4*o - 4*d - 458 - 2. Is o prime? True Is (342 + -5 - 2) + 1 + 1 a composite number? False Let k be 68/(-3)*1*-3. Suppose 0 = -h - h + k. Is h composite? True Suppose 5*j + 3*r + 322 = -0*r, 2*j + 4*r = -126. Let x be 4/(-18) + j/(-9). Let b(u) = 10*u + 7. Is b(x) prime? False Let r = 25 + 69. Is r composite? True Let c(p) = p**3 - 6*p**2 + 2. Let g be c(6). Suppose 2*l + g = l, 5*v - 43 = -l. Let j = v + -5. Is j prime? False Let t(p) = 19*p + 16. Is t(7) a composite number? False Suppose 5*p - 40064 + 13929 = 0. Is p a composite number? False Let s = 1782 - 1209. Suppose -g = 2*g - s. Is g prime? True Is 3865/4 - (-36)/48 a prime number? True Let i(l) = 3*l**3 - l**2 + 2. Let f be i(2). Is 143/f*(2 + 0) prime? True Suppose -2*l + 84 = -3*y + 461, -l + 249 = 2*y. Let u = -88 + y. Is u composite? False Let a = 2 + -3. Is 5/(-1*a/23) prime? False Let s = -1638 - -2307. Is s a composite number? True Let w = 417 - 214. Is (w/(-3))/(4/(-12)) composite? True Suppose 3*a + 2 = -16. Let q be (-52)/(-12) + (-4)/a. Let i = q + 9. Is i a prime number? False Suppose 463 + 295 = 3*n - x, -4*n + 1020 = x. Is n prime? False Let t(r) = -r**2 + 3*r + 4. Let g be t(5). Let q be 2/(-3)*(-9)/g. Is ((-12)/(-8))/(q/(-14)) a prime number? False Let s(f) = f**3 - 2*f**2 + 7*f - 1. Is s(5) a composite number? False Is (-4)/(8/(-6)) - -676 a prime number? False Let k be (-4)/18 + 542/9. Let s = k - 85. Let t = -18 - s. Is t a composite number? False Let a(c) = -c + 11. Let u be a(9). Suppose 3*g + 4*s = 59, 2*g + u*s = -0*s + 36. Is g a composite number? False Is (-9)/18 - (-534)/4 composite? True Let n(s) = -2*s - 3. Suppose 0 = 5*u + 4*v + 23, 0*u - 2*u = -5*v - 4. Let c be n(u). Suppose 5 = c*i - 16. Is i prime? True Is 813/2 - (-4)/8 composite? True Suppose -5*w + 1257 - 193 = -3*y, 1046 = 5*w + 3*y. Is (w/4)/(3/12) prime? True Suppose f - 118 = -49. Is f composite? True Let a = -5 - -242. Is a a composite number? True Suppose -6 - 2 = -4*y. Suppose y = v - 3*p, 3*p = 5*p. Is 0 + (14 - (v - 1)) a composite number? False Is (-3414)/(-9) - 3/9 a prime number? True Let w(k) = -2*k - 1. Let o be w(-2). Suppose -224 + 617 = o*c. Is c composite? False Suppose 4*q = 5*f - 10, -q = 4*f - 5 - 3. Suppose 3*m + k - 470 = q, -4*m + 5*k + 790 = m. Is m a composite number? False Suppose -3*r + 680 + 1261 = 0. Is r a composite number? False Suppose 0 = -4*z + 18 - 6. Suppose 5*o + 18 + 2 = -x, z*x - 3*o = 30. Suppose 93 = x*w - 2. Is w composite? False Suppose 3*f + 36 = -0*f. Let c be -4*(-1 + 3/f). Suppose 3*r = c*r - 70. Is r a prime number? False Suppose 3 = -t + 5. Suppose 3*s + 2*o = 583, -t*o = -4*s - 4*o + 774. Is s composite? False Let g(w) = -w**2 - 9*w - 9. Let r be g(-7). Suppose 2*j - 3*v + 36 = -30, -5*v = r*j + 215. Let b = j - -76. Is b a prime number? True Suppose 0*i + 159 = 3*i. Suppose 3*h + 2*j = i, h - 5*h + 2*j + 94 = 0. Suppose -o - h = -4*o. Is o a composite number? False Suppose -5*j = -5*f + f + 230, -3*j - 116 = -2*f. Is f a composite number? True Suppose 4*r = 2*h - 10, 3*h = 4*h + r + 1. Let z be (-1)/2 + h/(-2). Is z*(-54 + 1)/1 a composite number? False Let a = 46 + -85. Is a*4/(-12)*1 a prime number? True Suppose 4*w = -w - 25. Let l = w - -36. Is l prime? True Suppose 8 = 4*y - 0*y. Is (y - (1 + 0)) + 54 composite? True Let z(u) = u + 6. Let p be z(0). Is -3*(0 + (-52)/p) a composite number? True Suppose 0*l + c = -2*l + 3, -5*c - 15 = 0. Suppose -l*a + 2*a = 7. Let s = -4 - a. Is s a prime number? True Suppose -4*f - 2*s + 87 = -3*s, 0 = 4*f - 3*s - 93. Is f composite? True Suppose 5*l - 7 = -87. Let n = l - -28. Suppose j = -3, -29 = -2*y + j + n. Is y a prime number? True Let i(a) = 22*a**2 + a - 3. Let k = 23 - 19. Is i(k) prime? True Let m(f) = -f**3 - 9*f**2 - 9*f - 13. Let u be m(-12). Let n = -314 + u. Is n prime? False Suppose -4*a + 1172 = 160. Is a a composite number? True Let c = 22 - 13. Let d be (6/(-7))/((-2)/98). Let s = d - c. Is s a composite number? True Suppose q - 2*c = -3*c + 46, -181 = -4*q - 3*c. Let i = -76 + 134. Suppose -i = -3*h + b, 4*b = -3*h + 6*h - q. Is h a prime number? False Let o = -10 + 8. Let n(z) = 6*z**2 + z. Is n(o) prime? False Let i(h) = h**3 - 4*h**2 - 4*h + 5. Let k(g) = -2*g + 10. Let n be k(7). Let b be -2*6/n - -2. Is i(b) a prime number? False Let u be 6/(-4)*262/3. Let d = 540 + u. Is d a prime number? True Let b = 23 - -92. Is b a prime number? False Let s(a) = -3*a**3 - 7*a**2 + 2*a - 11. Is s(-6) a composite number? False Let a(q) = 81*q**2 - 15*q - 23. Is a(-9) a co
{ "pile_set_name": "DM Mathematics" }
? True Which is smaller: 5 or 39236? 5 Which is greater: 149 or 80? 149 Which is smaller: 33146 or 33142? 33142 Does -5 = -2664? False Which is smaller: -16/201 or -168? -168 Which is smaller: 53049 or -3.1? -3.1 Which is bigger: -48 or 1263? 1263 Is -47 at most as big as 84? True Is -99124/9 less than -11014? False Is -7.913 less than 255? True Is 1400/1381 <= 0? False Which is greater: 4/15 or -3/499? 4/15 Is -15 equal to -13/45? False Is -74216 greater than -371083/5? True Is -1/856 greater than or equal to -1? True Which is greater: 28570/323 or 89? 89 Does -163 = 459? False Is 26325 not equal to 184270/7? True Which is smaller: 10949 or 76645/7? 10949 Do -0.1 and -2/135035 have different values? True Which is smaller: 25/5852 or 0? 0 Is 29492 equal to 29499? False Do 2063 and 1539 have the same value? False Which is greater: 5650 or 396? 5650 Do 1 and 3/28987 have different values? True Is -1/2 >= -3918/59? True Is -51 less than -13613/263? False Which is smaller: 247 or 1973/8? 1973/8 Is -1418 at most -1633? False Which is greater: 4/3705937 or 0? 4/3705937 Is -3 not equal to -275/114? True Which is smaller: -3/227650 or -1? -1 Is -51109 <= -51108? True Is 149674/11 at least 13606? True Is 26772 less than or equal to 26770? False Is -853299 at least -853300? True Is -1/1311683 bigger than 0? False Is -128215 at least as big as -128217? True Do -674 and -189 have the same value? False Is -5528/143 less than or equal to 0? True Is 100/997 >= 0? True Is 109177/18 less than 6064? False Which is smaller: -11 or 5099? -11 Is 46872/11 at least 4261? True Which is smaller: 49/1504 or 1? 49/1504 Which is smaller: -4284 or -4263? -4284 Is 89/3 >= -0.0011? True Which is smaller: 7693 or 7? 7 Is -23 <= -1665/71? False Which is smaller: 77 or 10444/135? 77 Which is smaller: -22596 or -22627? -22627 Which is greater: -1/100586 or 1? 1 Which is smaller: -671 or -680? -680 Which is bigger: 0 or 9/286328? 9/286328 Which is smaller: -2903862 or -2903863? -2903863 Is 11105 equal to 11117? False Is -4396 greater than -4396? False Are 5733 and 5729 equal? False Which is smaller: 2 or -1219.13? -1219.13 Is -344 greater than -62252/181? False Which is smaller: 1 or 36/63547? 36/63547 Is 268/29 smaller than -1? False Is 0 less than 18/314317? True Which is smaller: 35060 or -2? -2 Is 5/4647 greater than -1? True Is 1 less than 1/8016517? False Is 4638887/6 less than or equal to 773149? True Which is smaller: -2577 or -2.3? -2577 Is 5 bigger than 2/3167? True Is -0.0515 equal to 249? False Is 1 >= 1/163994? True Is -2826819 less than 2? True Is 56726 smaller than 56726? False Which is greater: -161/5 or -530/3? -161/5 Is 9 at least as big as 698/29? False Which is smaller: -4 or -11653? -11653 Is 913 <= 922? True Which is greater: -3/7 or -3309? -3/7 Which is greater: -5212 or -5214? -5212 Is 4003 smaller than 4001? False Is 15567 != 15567? False Which is greater: -175784 or -175765? -175765 Is -6.7 < -7303? False Is 185989 <= -1? False Which is smaller: -518 or -481? -518 Which is greater: -14492 or -14499? -14492 Is 141.5 equal to -7? False Is 1 at most -64/28397? False Which is smaller: -508 or -507? -508 Is -6 > 49386? False Is -1 greater than or equal to -10/47331? False Is 9 at least as big as 76900? False Which is smaller: 7106 or 7149? 7106 Which is smaller: -5/65136 or -1? -1 Is 1 greater than 63/988? True Which is greater: 8605 or 129082/15? 129082/15 Is -314/1315 less than 1? True Which is smaller: -1.1 or 971? -1.1 Is 796 smaller than 1791? True Does 427769 = 427770? False Is 621 >= 650? False Which is smaller: -13579 or -13584? -13584 Which is greater: 34650 or 2/7? 34650 Is 211 at most as big as -394? False Which is bigger: 83960 or 83959? 83960 Which is smaller: 1 or -2/767117? -2/767117 Which is greater: 71373 or 71374? 71374 Which is smaller: -741497/8 or -92688? -92688 Which is greater: 2/483 or -1/989? 2/483 Is 134938 at least 134938? True Which is bigger: 3.727 or -16? 3.727 Are 2/5 and -1460726 nonequal? True Is -480/1399 not equal to 1? True Which is smaller: -731/3943 or -1? -1 Is -467 smaller than -2141? False Is 101755 at least 101756? False Is 86115 at least as big as 430571/5? True Is -355 > 139/15? False Which is smaller: 1 or 406793? 1 Is -2/466837 at least as big as 1? False Which is smaller: -44350/111 or -400? -400 Is 0.18 != -5134? True Is 5399 greater than 5383? True Are 3/4469782 and 1 nonequal? True Which is bigger: 709 or 462? 709 Is -1 smaller than -3/44785? True Is 398/413 greater than or equal to 70? False Which is bigger: 0.7 or 322.016? 322.016 Is 2 <= 7.204? True Do 0.09 and 343/24 have the same value? False Which is smaller: -168/7051 or -1? -1 Which is smaller: -14 or -942? -942 Which is bigger: 15/10322 or 1? 1 Which is bigger: -1 or 7/176003? 7/176003 Which is smaller: -1377 or -1376? -1377 Which is smaller: 192/361 or 2? 192/361 Which is bigger: -3/71615 or 0? 0 Which is smaller: 195776 or 195772? 195772 Which is bigger: -4175 or -4181? -4175 Which is greater: -3.3007 or 2? 2 Which is smaller: 4029/364 or 11? 11 Which is smaller: 2/69 or -311/3? -311/3 Which is smaller: -223140 or -446281/2? -446281/2 Is 975223 less than 975223? False Which is greater: 2632 or 31? 2632 Is 0 greater than -1/124974? True Which is smaller: 1301 or 40356/31? 1301 Which is smaller: -1557222 or -1557218? -1557222 Is -485/371 >= -1? False Which is smaller: 4/13081 or -1? -1 Which is smaller: -11588986 or -11588987? -11588987 Which is greater: -74 or -7232/97? -74 Is -73 < -4571? False Which is smaller: 0 or -450/1633? -450/1633 Are -29 and -65147 equal? False Which is greater: 1.1 or -19755? 1.1 Is -1 equal to 12311? False Which is smaller: -11/6690 or 0? -11/6690 Which is bigger: -61/489 or 0? 0 Is 2 at most 2.71371? True Is 28822/27 < 1068? True Is -0.1 < -2/24022391? True Is -23572 bigger than -165007/7? True Which is greater: 0.17 or 30/2231? 0.17 Is -48/6671 <= 1? True Is -4472 at most as big as -4472? True Which is smaller: -107756 or -754286/7? -107756 Do -16/568073 and 0 have different values? True Which is smaller: -58039 or -58040? -58040 Is -241/1430 less than 0? True Do 30685 and 30680 have the same value? False Is 56129 less than or equal to 841946/15? True Are -44680 and -44682 non-equal? True Is 281413/14 smaller than 20102? True Which is smaller: -3.4 or 108? -3.4 Which is greater: -17613 or -123297/7? -17613 Which is smaller: -1 or -1/41353? -1 Which is bigger: -4551/2998 or -2? -4551/2998 Is -31652 > -31652? False Is -23806 less than or equal to -23805? True Which is smaller: -5920077 or -5920076? -5920077 Do 4/101 and 16/39 have different values? True Which is smaller: -22385/73 or -308? -308 Which is smaller: -555/1957 or -1? -1 Which is smaller: -1 or 845/12828? -1 Which is bigger: 15 or 365/24? 365/24 Which is smaller: 166123 or 166122? 166122 Which is greater: 9.68 or 22? 22 Is 7 < -6/335? False Is -0.2108 <= 0.988? True Which is smaller: 60/43 or -4601? -4601 Is -2/73 <= -5723? False Which is smaller: -38560 or -38562? -38562 Which is smaller: 38/1373 or 4? 38/1373 Which is smaller: 243/1214 or 1? 243/1214 Which is bigger: 2160303 or 2160302? 2160303 Is -488 < -23899/49? True Is -11306 < -11301? True Does 957261 = 2871781/3? False Which is smaller: -2013511 or 0.2? -2013511 Which is bigger: -1 or -69/365? -69/365 Which is bigger: 6/16027 or -1/5? 6/16027 Which is smaller: 24533 or 24548? 24533 Which is smaller: 498 or -5/146? -5/146 Are -24.8301 and 2/3 nonequal? True Is -1 < 2/2633417? True Is 263/268 equal to 0? False Which is smaller: -5781/10 or -578? -5781/10 Is 10287 not equal to 174902/17? True Which is bigger: 0 or 37/634? 37/634 Is -6/8712869 at least -1? True Which is smaller: -7397902 or -7397903? -7397903 Which is bigger: 518 or 735? 735 Is -799073 < -799072? True Are -1704903/2 and -852453 equal? False Is -24/1178479 at most 1? True Which is greater: 7/5 or 4567/23? 4567/23 Which is smaller: -1551002 or -1551004? -1551004 Is -24460 at least -24458? False Which is smaller: -30480/119 or 0? -30480/119 Is -379196 less than -379198? False Which is greater: -41 or -3732/89? -41 Which is greater: -772 or -839? -772 Is 23/8922 at least as big as 0? True Which is bigger: 46.137 or -9? 46.137 Which is smal
{ "pile_set_name": "DM Mathematics" }
021. What is the fourth smallest value in 3/7, b, 0.5, y? 0.5 Let p = 63/5 - 127/10. Suppose -20*r - 75 = 7*r + 60. Which is the second smallest value? (a) r (b) -0.3 (c) p b Let c(h) = -h**2 - 4*h + 9. Let l be -2*2 + 8 + -1. Let p be c(l). Let x be (-6)/(-15)*6/p. What is the biggest value in 2/7, x, -3? 2/7 Let w = 2.99 + -2.74. What is the third biggest value in -0.1, 1, w? -0.1 Let m be 0 - (1 + 0 - -1). Let y = 31 - 57. Let r = 30 + y. Which is the second biggest value? (a) m (b) r (c) -3 a Let w = -63 - -39. Let l = 23.6 + w. Which is the second smallest value? (a) 12 (b) l (c) 1 (d) 0.2 d Let o be 1 - (11/9)/1. Let i(s) = -s**3 + s + 5. Let u be i(0). Which is the third biggest value? (a) o (b) u (c) -0.09 a Let t(b) = -b**2 - 3*b + 7. Let a be t(-5). Let p = 20 - 6. Suppose 3*s + 4*m + 10 = 0, -4*m - p = s - 0*s. What is the third smallest value in s, -1/8, a? s Let v = 794 + -758. What is the second biggest value in -0.3, v, 12? 12 Let q = 0.42 - 0.02. Let r = 845.8 + -846. Which is the second smallest value? (a) r (b) q (c) -0.5 a Let p(v) = v**2 - 8*v - 79. Let i be p(13). Which is the third biggest value? (a) i (b) -0.3 (c) 1/4 a Let h = -369 - -465. Which is the fourth biggest value? (a) -4/7 (b) h (c) -5 (d) 0.3 c Suppose -2*k = 3*k + 15. Let t be (k/(-9))/((-1)/6). Let v be t/(-6) - 68/(-12). Which is the smallest value? (a) v (b) -3 (c) 5 b Suppose -3*k + 683 = y, -3*k + 809 = 3*y + 122. Let g = 1139/5 - k. Which is the biggest value? (a) 2 (b) 0 (c) g a Let m = 11.2 - 2.2. Let g = m - 1. Let u = -24.5 + 25.5. Which is the smallest value? (a) -5 (b) g (c) u a Suppose 74*z - 7*z - 201 = 0. What is the biggest value in z, 0.1, 20.6, -4? 20.6 Let r = 367 + -368.71. Let l = r - 0.29. Which is the third smallest value? (a) l (b) -0.5 (c) -5/4 (d) 0.3 b Suppose 1 = -4*s + 9. Let z = -19 + 20. Let n be (s - z) + 6/(-7). Which is the second biggest value? (a) -5 (b) n (c) -6 a Let i(b) = -5*b**3 - b**2 + 4*b + 5. Let r be i(-1). Suppose d - 12 = -3*j, 2*j = -j + d + 6. What is the second smallest value in r, j, 6? r Let f be 12/9 + 3/(81/(-30)). What is the third biggest value in -1/4, f, -0.0023? -1/4 Let k be (-12)/9 + 4 + -2. Suppose 2*j - m = -0*m, 6 = 3*m. Suppose 2 + j = -y. What is the smallest value in 0.4, k, y? y Let b = 121 + -116. What is the third smallest value in b, -4, -0.4, 24? b Let v(x) = -2*x**3 + 2*x**2 + 11*x + 3. Let i be v(-2). Suppose 0 = -k - 3*k - 3*m - 13, -1 = -m. What is the second biggest value in -0.5, i, k? -0.5 Let f = 0.036 + -0.041. Let t = -0.105 - f. Which is the biggest value? (a) -13 (b) -1 (c) t c Let g = -199/2 - -100. Which is the third biggest value? (a) g (b) -0.5 (c) 0 b Let h = 9 - 6. Suppose -3*v - p + 284 = 3*p, 0 = 2*v - h*p - 195. Let a = v - 482/5. What is the second smallest value in -0.3, 5, a? -0.3 Let z(d) be the second derivative of -4*d**3/3 - 3*d**2 + 10*d. Let k be z(-2). Let f be (-70)/(-56)*(-2)/k. What is the third smallest value in f, -3, -0.4? f Let f = -2.044 + 9.044. Which is the smallest value? (a) 1 (b) 1.1 (c) f a Let v = -1.015 - -0.515. Which is the third smallest value? (a) -2/9 (b) v (c) -0.4 (d) 72 a Let c = 0.7 - 0.8. Let r = -156 + 155.5. What is the biggest value in r, c, 1, -2? 1 Let z(s) = 4*s**3 - 6*s**2 - 3*s + 8. Let g be z(2). Let u = -55/18 + 26/9. What is the third smallest value in u, g, 0.4? g Let q = 0.42 + 0.08. Let r = -0.51 + 25.01. Let s = 24 - r. Which is the third biggest value? (a) 3 (b) s (c) q b Let j = -156 + 158.2. Let w = -2.15 + -0.05. Let f = j + w. Which is the third biggest value? (a) -4 (b) -0.4 (c) f a Let x = 2126 - 2124.2. What is the third smallest value in 0.5, x, -2? x Suppose 7*f = 5*f + 5*q - 1, 5*f + q + 16 = 0. Let j be 1*(-8)/430*7. Let z = j - 3/43. Which is the second smallest value? (a) z (b) f (c) -1 c Let v = -43 + 93. Let n = v - 30. Suppose 2*r - n = 6*r. What is the biggest value in 0, 0.3, r? 0.3 Let f = 0.173 + -4.173. Let t = 0.3 - 0.2. Suppose -3*s = -2*j + 9, 2*s - 11 = -4*j + s. Which is the second smallest value? (a) j (b) t (c) f b Let w = 996 - 997. What is the biggest value in 2, -5, w, -0.5? 2 Let z(t) = t + 7. Suppose 0 = -5*j - 3*g + g - 19, g = -j - 2. Let y be z(j). Suppose y*w - w = -3. Which is the smallest value? (a) w (b) -0.1 (c) -0.08 a Suppose i + 5 = 7. Suppose y = 3*s - 5*s + 2, -i*y = -5*s - 4. What is the second biggest value in 3, 0.31, y? y Let o be 2*(-3 + 88/26). Let v = o + -4/39. Which is the third biggest value? (a) v (b) 0.1 (c) 0.4 b Let x = -339.5 + 340. Which is the fourth smallest value? (a) -7 (b) -1/7 (c) x (d) -0.26 c Let w be ((-6)/28)/(3/4). Let y(m) = -4*m + 108. Let z be (8/3 - 0)*(-273)/(-26). Let f be y(z). Which is the second smallest value? (a) w (b) -0.3 (c) f b Let x(h) = h**3 - h**2 - 2*h - 31. Let j be x(0). Let p = 29 + j. Let n be 168/(-90) + (0 - p). What is the third biggest value in n, -0.4, 0.3? -0.4 Let m = -2937 - -2390. What is the second biggest value in -0.2, m, -5? -5 Let z = -27552 - -247058/9. Let u = -101 - z. Which is the third smallest value? (a) u (b) -0.1 (c) 6 c Let d = 829 + -835. Which is the third smallest value? (a) d (b) 4 (c) 6/7 b Let o = 2085.1 + -2085. What is the fourth biggest value in o, 7/6, -2, -1? -2 Let w be (79/948)/(6/(-8) - -1). Which is the third biggest value? (a) w (b) -4 (c) -5 c Let a be ((-2)/(-3) - 1)/(14/(-210)). Let v be (10 + -13)/(a + 0). What is the biggest value in 0, v, -1.5? 0 Let u be 4/(-48)*10*80/75. Let n = 17 + -20. Which is the smallest value? (a) -1 (b) u (c) n c Let q = -175.8 + 178. Let n = 30 - 61/2. Which is the second smallest value? (a) n (b) 2 (c) q b Let t = -0.134 + -44.366. Let z = t - -44. Which is the second smallest value? (a) z (b) 2/9 (c) 0.5 b Let s = -1.296 - -119.196. Let z = s - 118. Let n = 0.2 - 0.2. What is the second biggest value in z, 1, n? n Let v = 29/15 - 7/3. Which is the smallest value? (a) v (b) -4 (c) -2/11 (d) -0.2 b Let b = 12057/10 + -1206. What is the second biggest value in -3, b, 2? b Let i = -18 - -9. Let g = i + 10. Which is the smallest value? (a) -2/9 (b) g (c) 1/5 a Let v = -0.476 - -0.586. What is the second smallest value in v, 0.4, -0.23? v Let y = 0.8 + 1.8. Let g = -0.6 + y. Let f = -2695.5 - -2695. What is the second biggest value in g, f, 1? 1 Suppose -5*d + 12 + 113 = 0. Let a be ((-40)/d)/(4/(-10)). Suppose -3*r + a*r = 0. What is the second smallest value in 0.5, r, -0.02? r Let s = -7.0033 + 0.0033. Which is the third smallest value? (a) 1 (b) s (c) -12 a Let g = -26.5 - -27. Let t = 1 - 4. Let q = t + 5. What is the third smallest value in -5, g, q? q Let o = -0.011 + 3.011. Let f = 5 + -9. What is the smallest value in -5, -0.5, f, o? -5 Suppose -2 = -5*x - 0*a - 4*a, -4*x + 5*a = 23. Let v = -4.175 + 3.1. Let t = v - -0.075. What is the biggest value in x, -1/2, t? -1/2 Let s = 148.7 - 152.7. What is the third biggest value in 9/4, s, 4, -1/4? -1/4 Let i = 140/1177 - 3/107. Which is the smallest value? (a) i (b) 8 (c) -5 (d) 2 c Let x = -326.8 - -327. Which is the second biggest value? (a) 4 (b) -5 (c) 8 (d) x a Suppose -3*q = -0*q - 15, -5*h - q = 0. Let o be 2/(-24)*-1*(h + -2). What is the smallest value in 0.3, 22, o? o Let k = -53.5 - -54. What is the third smallest value in k, -89, -5? k Let i = -204 - -199. What is the second smallest value in i, -1/4, -0.4? -0.4 Let x = 0 - -1/2. Let s = -59/14 - -26/7. Which is the third smallest value? (a) -3/2 (b) s (c) x c Let r = 4.9 - 5. Let l = 8.1 + -8.4. Which is the second smallest value? (a) r (b) 2/3 (c) l (d) -3 c Let t = -11/30 - -1/6. What is the third smallest value in -12, t, 0.15? 0.15 Let g = 76.93 - 77. Which is the third smallest value? (a) 0.5 (b) g (c) -4 a Let c = -375.4 + 375. What is the second biggest value in -2/3, -0.1, 11, c? -0.1 Let x be 686/(-4) + (0 - 2). Let b = x + 170. What is the second smallest value in b, 2/5, -4? b Let l = 143 - 138. Which is the biggest value? (a) l (b) 0 (c) 4 a Let o = 235/84 - 69/28. Which is the second smallest value? (a) 3 (b) o (c) 0.3 (d) 1.13 b Let u = 11.26 + -11.3. What is the biggest value in u, 0, -1/
{ "pile_set_name": "DM Mathematics" }
PM and 12:01 AM? 564 What is 123 minutes before 1:12 AM? 11:09 PM What is 599 minutes before 10:20 PM? 12:21 PM How many minutes are there between 10:04 PM and 9:51 AM? 707 What is 204 minutes before 12:13 PM? 8:49 AM What is 691 minutes after 3:44 PM? 3:15 AM What is 492 minutes after 2:40 AM? 10:52 AM How many minutes are there between 2:29 AM and 4:50 AM? 141 What is 274 minutes after 9:26 AM? 2:00 PM How many minutes are there between 8:25 AM and 5:24 PM? 539 How many minutes are there between 11:54 PM and 10:37 AM? 643 What is 647 minutes before 2:22 AM? 3:35 PM How many minutes are there between 6:47 AM and 12:32 PM? 345 How many minutes are there between 2:02 PM and 3:40 PM? 98 How many minutes are there between 11:34 AM and 5:05 PM? 331 How many minutes are there between 1:01 PM and 3:25 PM? 144 What is 675 minutes after 5:42 PM? 4:57 AM What is 709 minutes after 1:57 PM? 1:46 AM How many minutes are there between 6:59 AM and 4:48 PM? 589 What is 252 minutes after 11:09 PM? 3:21 AM What is 27 minutes before 1:37 AM? 1:10 AM How many minutes are there between 3:32 PM and 1:18 AM? 586 What is 714 minutes after 12:15 PM? 12:09 AM How many minutes are there between 12:58 PM and 8:50 PM? 472 How many minutes are there between 5:22 PM and 4:44 AM? 682 What is 11 minutes before 6:44 PM? 6:33 PM How many minutes are there between 12:08 AM and 11:41 AM? 693 How many minutes are there between 12:16 AM and 2:16 AM? 120 What is 252 minutes after 1:29 PM? 5:41 PM How many minutes are there between 10:16 PM and 10:58 PM? 42 How many minutes are there between 3:54 AM and 4:36 AM? 42 What is 63 minutes before 3:33 AM? 2:30 AM How many minutes are there between 4:24 AM and 11:05 AM? 401 How many minutes are there between 12:44 AM and 8:55 AM? 491 How many minutes are there between 9:16 PM and 9:30 PM? 14 What is 609 minutes after 7:12 PM? 5:21 AM What is 524 minutes after 5:29 PM? 2:13 AM How many minutes are there between 7:14 PM and 10:28 PM? 194 What is 414 minutes before 6:08 PM? 11:14 AM How many minutes are there between 8:53 PM and 5:01 AM? 488 How many minutes are there between 1:46 PM and 6:46 PM? 300 What is 203 minutes before 3:45 AM? 12:22 AM How many minutes are there between 12:59 PM and 5:12 PM? 253 What is 260 minutes after 6:00 AM? 10:20 AM How many minutes are there between 9:25 AM and 5:49 PM? 504 How many minutes are there between 2:05 AM and 3:42 AM? 97 How many minutes are there between 1:59 AM and 5:16 AM? 197 What is 581 minutes before 4:48 AM? 7:07 PM What is 620 minutes after 10:35 PM? 8:55 AM How many minutes are there between 11:28 PM and 12:16 AM? 48 How many minutes are there between 5:53 PM and 3:17 AM? 564 What is 421 minutes before 11:31 AM? 4:30 AM What is 398 minutes after 6:35 PM? 1:13 AM How many minutes are there between 7:02 PM and 6:34 AM? 692 How many minutes are there between 6:04 PM and 12:35 AM? 391 What is 611 minutes after 8:58 AM? 7:09 PM What is 20 minutes after 4:25 AM? 4:45 AM How many minutes are there between 8:33 AM and 5:53 PM? 560 What is 82 minutes before 6:47 AM? 5:25 AM How many minutes are there between 9:16 AM and 4:40 PM? 444 How many minutes are there between 9:27 PM and 10:36 PM? 69 What is 463 minutes after 10:47 AM? 6:30 PM What is 154 minutes after 3:18 AM? 5:52 AM What is 266 minutes before 5:22 AM? 12:56 AM What is 702 minutes after 6:09 PM? 5:51 AM What is 706 minutes after 9:41 PM? 9:27 AM How many minutes are there between 8:19 PM and 2:59 AM? 400 How many minutes are there between 1:03 AM and 1:23 AM? 20 What is 194 minutes after 3:21 AM? 6:35 AM How many minutes are there between 2:32 AM and 5:10 AM? 158 How many minutes are there between 1:50 PM and 11:07 PM? 557 What is 366 minutes before 8:50 PM? 2:44 PM What is 462 minutes after 5:10 AM? 12:52 PM What is 463 minutes before 6:01 PM? 10:18 AM How many minutes are there between 7:13 AM and 9:35 AM? 142 How many minutes are there between 5:36 PM and 10:34 PM? 298 What is 293 minutes after 3:28 PM? 8:21 PM What is 344 minutes after 7:53 PM? 1:37 AM How many minutes are there between 8:40 PM and 4:56 AM? 496 What is 682 minutes before 4:58 AM? 5:36 PM What is 676 minutes after 11:24 AM? 10:40 PM How many minutes are there between 7:26 AM and 8:15 AM? 49 What is 317 minutes before 8:22 AM? 3:05 AM How many minutes are there between 1:54 PM and 4:59 PM? 185 How many minutes are there between 6:38 PM and 11:51 PM? 313 How many minutes are there between 4:49 PM and 3:12 AM? 623 What is 423 minutes after 9:38 PM? 4:41 AM How many minutes are there between 6:25 AM and 4:12 PM? 587 What is 283 minutes before 6:49 PM? 2:06 PM How many minutes are there between 9:51 AM and 3:12 PM? 321 How many minutes are there between 4:30 PM and 4:02 AM? 692 How many minutes are there between 1:49 AM and 4:01 AM? 132 How many minutes are there between 2:03 AM and 9:02 AM? 419 What is 687 minutes after 2:59 PM? 2:26 AM What is 6 minutes before 11:31 PM? 11:25 PM How many minutes are there between 3:48 AM and 3:47 PM? 719 How many minutes are there between 8:41 AM and 10:36 AM? 115 How many minutes are there between 11:54 AM and 10:04 PM? 610 How many minutes are there between 12:36 PM and 12:08 AM? 692 What is 359 minutes before 1:26 PM? 7:27 AM What is 317 minutes after 3:20 AM? 8:37 AM What is 38 minutes after 8:26 AM? 9:04 AM What is 255 minutes after 3:57 PM? 8:12 PM How many minutes are there between 3:15 PM and 10:14 PM? 419 What is 35 minutes after 6:44 PM? 7:19 PM How many minutes are there between 7:26 PM and 9:04 PM? 98 What is 599 minutes before 7:28 PM? 9:29 AM How many minutes are there between 11:07 PM and 12:37 AM? 90 What is 111 minutes after 8:10 PM? 10:01 PM How many minutes are there between 6:07 PM and 8:35 PM? 148 How many minutes are there between 12:26 AM and 3:13 AM? 167 What is 195 minutes after 6:45 PM? 10:00 PM How many minutes are there between 6:58 AM and 3:48 PM? 530 How many minutes are there between 1:45 AM and 9:24 AM? 459 How many minutes are there between 3:41 PM and 8:15 PM? 274 What is 25 minutes after 4:43 AM? 5:08 AM What is 165 minutes before 2:13 AM? 11:28 PM How many minutes are there between 2:54 PM and 9:28 PM? 394 How many minutes are there between 6:47 AM and 4:42 PM? 595 How many minutes are there between 6:42 AM and 2:28 PM? 466 How many minutes are there between 5:29 PM and 1:02 AM? 453 What is 209 minutes after 9:40 PM? 1:09 AM How many minutes are there between 2:04 PM and 7:24 PM? 320 What is 610 minutes before 7:55 AM? 9:45 PM How many minutes are there between 3:43 PM and 11:44 PM? 481 What is 503 minutes after 12:40 AM? 9:03 AM What is 568 minutes before 4:19 AM? 6:51 PM How many minutes are there between 3:12 PM and 6:36 PM? 204 How many minutes are there between 2:06 AM and 10:06 AM? 480 How many minutes are there between 7:40 AM and 4:05 PM? 505 How many minutes are there between 7:12 AM and 2:21 PM? 429 How many minutes are there between 6:04 PM and 2:50 AM? 526 What is 607 minutes after 9:28 PM? 7:35 AM What is 647 minutes after 6:16 PM? 5:03 AM How many minutes are there between 1:29 PM and 1:08 AM? 699 How many minutes are there between 4:53 AM and 6:00 AM? 67 How many minutes are there between 5:05 PM and 11:19 PM? 374 What is 25 minutes after 5:26 AM? 5:51 AM How many minutes are there between 8:48 AM and 11:38 AM? 170 What is 92 minutes after 11:18 AM? 12:50 PM How many minutes are there between 1:19 PM and 5:19 PM? 240 How many minutes are there between 3:57 PM and 6:04 PM? 127 What is 689 minutes before 4:20 PM? 4:51 AM What is 660 minutes before 2:32 AM? 3:32 PM How many minutes are there between 7:39 AM and 7:10 PM? 691 What is 391 minutes after 9:31 PM? 4:02 AM How many minutes are there between 5:42 AM and 12:46 PM? 424 How many minutes are there between 12:00 PM and 6:44 PM? 404 How many minutes are there between 3:55 AM and 9:55 AM? 360 How many minutes are there between 8:11 AM and 4:23 PM? 492 How many minutes are there between 3:54 PM and 5:26 PM? 92 What is 636 minutes after 6:48 PM? 5:24 AM How many minutes are there between 12:02 AM and 11:46 AM? 704 What is 444 minutes before 12:17 AM? 4:53 PM What is 48 minutes after 9:08 AM? 9:56 AM What is 69 minutes before 10:09 PM? 9:
{ "pile_set_name": "DM Mathematics" }
- j + 9 = -10 for m. 3 Suppose -3*h = 2*h + 155. Let f = -23 - h. Solve -2*n - u + 11 = 0, u = -2*n + 3*u + f for n. 5 Suppose -n - 16 = -4. Let r be n/4*10/6. Let t be (4/r)/(12/(-30)). Solve 3*z + 3*m + m + 26 = 0, 2 = 4*z - t*m for z. -2 Suppose 27 = 18*o + 9*o. Solve -4*z = 2*f - 6, -o = 3*f - 2*f - 2*z for f. 1 Suppose 5*j = 4*i - 5*i - 120, -288 = 3*i - 3*j. Let c be i/(-45) + (-2)/9. Solve 5*k + 0 = -c*l - 21, 0 = -2*k + l - 3 for k. -3 Suppose 2*n - 17 = 3*u, -162*n - 2*u = -165*n + 18. Solve 4*g + 29 - 3 = -5*b, 3*g = 4*b - n for b. -2 Suppose 4*s = -27*s - 11*s. Suppose -2*r - i = -21, 2*r - i + 5*i = 12. Solve v + 2*d - d - 6 = s, 5*d - r = v for v. 3 Let f = -10 + 13. Suppose 47 = f*z - k, -k - 20 = -4*z + 42. Solve -4*h + 4*r - r = -19, 5*h - 2*r = z for h. 1 Let b(h) be the first derivative of -3 + 4*h - 3*h**2 - 1/3*h**3. Let v be b(-6). Solve v*i - 2 = i - 5*k, -k = 2 for i. 4 Suppose 3*a - 108 = -12. Let g be 32/6*24/a. Solve x - g*x + 2*t = -3, 3*t + 12 = -3*x for x. -1 Let z(o) = -6*o + 64. Let n be z(10). Solve -2*x - 2*s = 10, n = -x - 4*s - 1 for x. -5 Suppose -2*q - w = -12, -8*q + 12*q - 3*w = 24. Solve -q*k + k + 25 = 5*d, -2*k + 2*d + 10 = 0 for k. 5 Let p = -60 - -79. Suppose -8*i + 13 = -p. Solve -z = i*g + 5, -2*z - 4*g - 5 = 1 for z. -1 Let s = 9 + -9. Suppose s*h - h = -19. Suppose -h = -m - 11. Solve 2*r = 5*k + m + 23, 0 = 3*r + 4*k + 11 for r. 3 Suppose 60*q - 1057 = 83. Solve 3*v + 4*d = q, 3*v + 3*d - 21 = -6 for v. 1 Let c be 46/12 - (-6)/36. Suppose 4*v = -4, 0*v - 8 = -c*r - 4*v. Solve -r*s = -2*x - 8, 5*x - 1 = 9 for s. 4 Let i(m) = -7*m - 33. Suppose -7*x = -8*x - 5. Let p be i(x). Solve 5*z = -3*y - 5, -5*y + 1 - 22 = p*z for y. -5 Suppose 4*v = -3*z + 1, 2*z - 4*z - 18 = -2*v. Let g(m) = -m**2 - 6*m - 3. Let y be g(-5). Solve -u = -v*c - y*u - 15, 0 = -2*c + 4*u + 6 for c. -3 Suppose 0 = 87*u - 83*u - 20. Solve 3*y + y = -d + 5, -4*d + 20 = u*y for y. 0 Let i be ((-81)/18)/(3/(-8)). Let q = i - 12. Suppose -4*a = 3*l - 5, 2*l = -4*a - q*l + 10. Solve n - 17 = 4*n - a*j, 5*j = 5*n + 25 for n. -4 Let f = 318 - 313. Solve f*r = -3*x + 20, x + 4*r = 4 + 5 for x. 5 Let f(z) = 13*z - 74. Let j be f(6). Solve 2*o = 3*n + 4, 0*n + j*o - 18 = n for n. 2 Suppose -6*h + 4*a + 35 = -h, 0 = -4*h - 5*a - 13. Suppose 0 = -g - h*g - 0*g. Solve g = -3*v - 6, -4*m + 1 + 7 = 4*v for m. 4 Let h = -14 + 14. Let l be (h + 1 + -1)/1. Suppose -1 = -t + 3. Solve r - n = t, -5*r + l*r + 18 = -4*n for r. 2 Let a(l) = -25*l**2 - 1. Let o = 18 + -19. Let p be a(o). Let s be (-2)/11 + p/(-22). Solve 3*d - 4*w - s = 4, -5*d + 19 = 4*w for d. 3 Let p be (-44)/(-154) - (-2)/(-7). Suppose 0 = -p*z - 5*z. Suppose z = 3*j - j - 8. Solve -4*t - 21 = 3*d - t, -3*t = j*d + 25 for d. -4 Suppose 0 = -4*r - 4*n + 8, 4*r - n = 28 - 5. Solve -23 = -r*c - m + 5, -2*m - 9 = -3*c for c. 5 Let f(r) = r**2 - 6*r + 7. Let a be f(9). Let v = a + -6. Let z = 41 - v. Solve 2*b = 4*y - 5 + 13, 3*y = -2*b - z for y. -3 Suppose -3*t + b + 9 = 0, t + 2*b - 7*b = 3. Solve 4*u + 15 = 5*n, 0*n + 5*u = n - t for n. 3 Let u = 228 - 226. Solve 3*t + 4 = -u*l, -5*l + 4*t = -0*l + 10 for l. -2 Suppose -7*k = -83*k + 304. Solve -3*y + r = -1, -k*y = -8*r + 3*r + 6 for y. 1 Suppose 12*n - 30 = -6. Solve -3*t + 0*c - 6 = c, -t - n = c for t. -2 Suppose 3*z - 3*g + 2*g + 1 = 0, 3*g = -4*z + 3. Solve 0*l = 2*l - 10, z = 4*f - 5*l + 9 for f. 4 Let p(k) = 20 + 4*k - k**2 - 10 - 11. Let g be p(2). Solve -2*w - 4 = -5*t + 2, 6 = -g*t - 2*w for t. 0 Let z = 41 - 14. Suppose -2*s - 5 = z. Let b = s + 19. Solve -2*x + b*x = -2*y - 4, 0 = 2*y - 2*x + 10 for y. -3 Suppose -6*s + s - 14 = 4*j, 5*s + 3*j = -13. Let l(p) = -p**3 - p**2 + 3*p + 5. Let g be l(s). Solve -9 = -2*n + n - g*o, 3 = -4*n + o for n. 0 Let k = 6 + -3. Suppose y - 6*y + 26 = -l, k*y = 5*l + 20. Solve -y*v + 5*f - 12 = 2*f, -2*v - 7 = f for v. -3 Suppose -2*j + 14 = 3*r, r = 4*r - j - 11. Solve 2*a = q - 4, -4*q + 3 + 1 = r*a for q. 2 Suppose 8*g - 5*g + 2*g = 0. Solve 3*a - z - 9 = -0, -a - 3*z + 13 = g for a. 4 Suppose 6*m - 11 = 7. Solve 2*o - 3*o = -4*x + 24, -1 = 4*o + m*x for o. -4 Let l = -51 + 54. Let w = -2 + 5. Let g be (1/(w/(-9)))/(-1). Solve -l*z + 5*z = 3*v - 13, -g*z - 5*v + 9 = 0 for z. -2 Suppose -9*c - r - 17 = -14*c, 0 = -c + 3*r + 9. Solve 5*z + c*f + 17 = -0*z, 0 = -4*z + f for z. -1 Let p(i) = -i**3 - 4*i**2 - 2*i - 6. Let b = 39 + -43. Let k be p(b). Let n be 0/(3*2/3). Solve -2*l - k*x - 2 = n, -4*x = 6 + 10 for l. 3 Let h be (-4)/(-10) + (-172)/(-20). Solve 2*f - n = h, 5*f = 5*n + 40 - 15 for f. 4 Suppose 0 = -5*y + 16 + 4. Let r be 1 - (0 - 0) - (-8)/y. Solve 3*k = 2*k - r*m + 9, -3 = -3*k + 3*m for k. 3 Let x(j) = -2*j**2 + 20*j - 14. Suppose -5*h - 3*c = -54, 0*h - 5*c - 21 = -4*h. Let u be x(h). Solve 12 = 7*w - 3*w - 4*y, u*y + 4 = 2*w for w. 4 Let f be (-19)/(-3) + 10/6. Solve a - 8 = n + n, 4*n - f = -4*a for a. 4 Let d(q) = -8*q + 65. Let z be d(8). Solve 4*j - 8 = -l, -z = -3*j - 2*j + l for j. 1 Suppose 5*d + 55 = 5*f, -4*d - 11 - 9 = 0. Suppose 55 = f*r - r. Solve 4*p = c - r, -2*p - p = 2*c for c. 3 Let x = 783 - 781. Solve -4*i + 5 = -w, -w = -3*i + 2 + x for i. 1 Let p(t) = -t**2 + 10*t - 21. Let f(s) = 1. Let o(g) = -3*f(g) - p(g). Let m be o(8). Solve -20 = r + 4*u - 6, m*r - u + 1 = 0 for r. -2 Suppose 19*c - 18*c = 0, 0 = -5*x + 4*c + 10. Solve 2*j = -3*z + 4*z + x, -2*z - 4*j - 12 = 0 for z. -4 Suppose 154 = 37*i - 438. Solve -3*j = x, j - 3*x = 2*x - i for j. -1 Suppose -5*u + 2*u = -6. Suppose -s + u = -1. Suppose -3*n - 5*b = -14, -5*n + 5*b + 0*b = -10. Solve 0*t + s = n*t + 3*d, d = 3*t - 7 for t. 2 Let m(h) = h**3 + 7*h**2 + 13*h + 171. Let u be m(-8). Solve -15 = -9*t + 4*t, -6 = u*n + 3*t for n. -5 Let i(x) = -6*x - 28. Let w be i(-12). Let c = 48 - w. Solve -z + 1 = -2*b, b - 2 = -c*z - 16 for b. -2 Let m(p) = p**3 + 2*p**2. Let w be m(1). Solve 4*c - w*r = -c + 10, 3*c = -5*r + 6 for c. 2 Let d = 12 - 36. Let t = -17 - d. Let i be 4/(-26)*(-4 + -11 + 2). Solve -3*w = -2*m - t, 0 = w + 4*w - i*m - 5 for w. -1 Let m = -107 - -109. Solve 10 = m*s, -3*t - 8 = 2*s - 33 for t. 5 Let z(d) be the third derivative of -d**5/60 - 7*d**4/24 - 2*d**3 - 22*d**2. Let h be z(-4). Solve h*p + 3*k = 2*p - 15, -6 = -p + k for p. 3 Let j(o) = 11 - 6 - 14*o + 6*o + 47. Let u be j(6). Solve 3 + u = -5*x - 4*p, 4*x = p - 14 for x. -3 Let d be 5/(-20)*58*(0 - -2). Suppose 4*b - 5*b + 4*o = -59, 3*b - 2*o = 157. Let q = d + b. Solve -5*t + 5*h + q + 3 = 0, 8 = t - 2*h for t. 2 Let i(q) = 12*q**3 - q**2 + 1. Let t be i(1). Let k = 16 - t. Suppose -z - 4*g = -9*g - 3, -k*z = 5*g - 12. Solve -1 = -z*l + 4*n, -5*l + 5*n = 2 - 7 for l. 3 Let n(f) = f**3 + 9*f**2 + 8*f - 9. Let w be n(-8). Let u = 12 + w. Let o(r) = -2*r - 7. Let m be o(-6). Solve -a + u*q = 4, m*q - 4*q = 3*a - 4 for a. 2 Suppose 13*c + 6 = 15*c. Solve 2*s - 16 = 4*w, c*s - 4 = -4*w - 30 for s. -2 Suppose k = 4*m - 28, 3*k - 3*m = 2 - 41. Let o be (-2)/(-10) + k/(-10). Solve 0 = -2*p - o - 3, -6 = 2*n + 4*p for n. 1 Let m be 10/2 - 3 - 2. Suppose m = -2*o - 2*o + 24. Suppose 0 = -2*a - 5*y - 1 - 9, -25 = -a + 5*y. Solve -a*n + 4 = 3*s, -4*n + o = s - 0*n for s. -2 Suppose -4*a + 2*n - 8 = -36, -2*a - n + 6 = 0. Let u(l) = 12*l + l**2 - 2*l - 6 - 2*l**2 - 3*l. Let p be u(6). Solve -3*b = 5*j - 2*b, j - a*b - 26 = p for j. 1 Let k = 41 + -68. Let g = -23 - k. Solve -3*v = -0*a + 2*a + 16, 3*v - g*a + 4 = 0 for v. -4 Let p(o) = -o**2 + 2*o + 7. Let b be p(3). Suppose -2*c + 3*c - b*z = -2, 9 = 2*c + 5*z. Solve 0 = -5*g - 25, -4*r + 5*r = c*g + 15 for r. 5 Let c = -4 - -6. Let n(t) = 3*t**2 + 3*t + 3. Let m be n(-1). Solve -v + m*k + 2 = 0, 5*v - 10 = c*k + k for v. 2 Let i = 695 - 693. Solve -2 + 13 = 3*b + 4*n, i*b = -3*n + 7 for b. 5 Suppose 0*i - i = 2*o, -5*i - 18 = o. Let l = i - -8. Solve -2*u + 4 = 0, -l*m + 3*u - 2 = -2*m for m. 2 Let a be 3*(-4 - -4 - 1). Let o(h) = -4*h + 1. Let t be o(a). Let g = 8 + -6. Solve 0 = b + g*f - t, -5*f + 30 = b + b for b. 5 Let y = 46 - 42. Let g be 4 - 9/(-12) - 3/y. Solve g*j - 2*w + 17 = -w, -40 = 5*j + 5*w for j. -5 Let g = 7 - 2. Suppose 0 = v + g*b - 83, -5*v - 3*b = 86 - 435. Let n = v + -46. Solve -n + 2 = 4*f - 5*o, o - 4 = 0 for f. 0 Suppose 2*j - 97 = 155. Suppose
{ "pile_set_name": "DM Mathematics" }
t c be x(m). Solve 4*o + 4*u - 8 = -c*o, -5*o - 22 = -3*u for o. -2 Suppose -3*l = -2*j - 22, -5*l + 4*j - 548 = -588. Solve 4*u + 8 = l*y, -5*u = -y - y + 19 for u. -5 Let a(d) = 27*d - 737. Let g be a(28). Solve 5*b - 2*n - 17 = 4, 3*b + 2*n - g = 0 for b. 5 Let u be 11 - 14 - 1*-3. Let a be u + ((-2)/(-9) - (-29)/(-9)). Let s be (-3)/(a*(-3 - (-52)/16)). Solve s*b - 4*d - 16 = 0, 2*d - d = -4*b + 11 for b. 3 Suppose 3*r - 32 + 18 = -4*s, 0 = 5*s - 4*r - 33. Solve 11 = v - s*y, 6 = -5*v + y + 13 for v. 1 Let y be 13/(-182) - (-1850)/28. Suppose -c + 5*c + 2*q - y = 0, 0 = 2*c - 3*q - 13. Solve c = r + 2*i, 0 = -5*r - 2*i + 6*i for r. 4 Let i = 705 - 545. Suppose 11 = 19*s - i. Solve s = -4*j - 3*t + 2, -5*j = -3*t - 25 for j. 2 Let k(d) = -244*d + 5368. Let z be k(22). Solve 4*j + 5*s - 30 = z, 49 - 29 = 2*j + 5*s for j. 5 Let h = 1149 + -1883. Let w = -729 - h. Solve -y + 3*y = -w*a + 26, -2*y = -a - 2 for y. 3 Suppose 4*b = -3*h - 9, 5*b = -42 + 12. Solve 2*g - 5 = u, -h*u = -5*g - 12 + 17 for u. 3 Let x be ((-18)/33)/(81/(-594)). Solve 25 = 21*h - 16*h, -h = x*c - 17 for c. 3 Let t be 3 - ((-20)/(-50))/(2/(-5)). Suppose 6*f = 3*f + t*i + 31, -f + 2*i + 11 = 0. Solve -5*b - w + 13 = -2*w, 3*w = 5*b - f for b. 3 Suppose 2*r + 3*x = 7*r - 205, 3*x - 82 = -2*r. Let w be (r + -40)*5*1*1. Solve 1 = -5*y + 2*y + f, w*f = -2*y - 29 for y. -2 Let j(a) = 42*a + 50. Let r be j(-2). Let s = -29 - r. Solve -2*y = -s*w + 5, -3*w - 4 = w for y. -5 Let h = -46 + 52. Let z(i) = i**3 - 4*i**2 - 11*i - 3. Let y be z(h). Let l be 4/(-7)*(y/(-6) - 3). Solve 15 = 3*q + 3*d, 3*d + 3 + 2 = l*q for q. 4 Let k = -37 + 39. Suppose k*l - u - 6 = -2, -2*l + 5*u - 12 = 0. Solve -17 = -l*h + 3*d + 2*d, 0 = -3*d - 3 for h. 3 Let v(x) = -x**3 - 79*x**2 + 151*x - 876. Let n be v(-81). Solve 4*u - 21 = d + 4*d, 5*u + 2*d = -n for u. -1 Suppose -145*h + 146*h = 3. Solve -2*j = h*v + 6, -3*j - v = -4*j + 7 for j. 3 Let n be (-80)/(-6)*((-399)/35)/(-19). Solve 2*v - 3*u + n = -u, v + 4*u - 6 = 0 for v. -2 Let c(k) = -106*k + 850. Let s be c(8). Solve 0 = s*z, -2*f + z = f + 3 for f. -1 Let v = 23 + 59. Let k = v + -75. Suppose k = g - 5*f, 4*g + 3 = 8*g + 5*f. Solve -3*l - 4 = -2*t, 4*l = -l - g*t - 12 for l. -2 Suppose 203 = -57*c + 64*c. Suppose -31*a + c*a + 1 = -5*u, 2*u + 7 = 3*a. Solve 0*w - 3*w - 4 = 4*l, -2*l = -a*w - 16 for l. 2 Let l be (3/(-21))/((6/7)/(-6)). Let s be (((-12)/(-28))/l)/(2/14). Solve -4*h = -16, 4*c - 6 = s*c - h for c. 2 Let c(n) = -2*n**3 + 95*n**2 - 62*n + 705. Let j be c(47). Solve -25 = -5*l + 13*b - 12*b, j = b for l. 5 Let y be (((-384)/(-56))/4)/(15/35). Suppose -2*l + 2*g = -6, 2*l + 16 = 5*l + 4*g. Solve -3*m + l = m - y*t, 3*t - 12 = 0 for m. 5 Suppose -3*o = -3*x - 83 - 73, 0 = -4*o + x + 193. Suppose -o = -8*a + 5*a - i, -3*i = 5*a - 81. Solve p - 2*m + 0*m = 9, 5*p = 4*m + a for p. -1 Let l be -6*(63 + 4775/(-75))/(-2 + 30/9). Let x(b) = b**2 - 7*b + 7. Let s be 5 + 2 + -1*1. Let k be x(s). Solve -5*d + k = 4*t + 11, -3*d = l*t + 9 for d. 2 Let q = 7163 - 7158. Solve -c = -q*r - 3 - 6, -4*c + 3*r + 2 = 0 for c. -1 Let w(m) = -83*m - 986. Let k be w(-12). Solve 4*a + g = k, 0 = -4*a + g + 58 - 44 for a. 3 Suppose -81 = 4*g + 63. Let i(w) = -19*w - 683. Let s be i(g). Suppose 0 = -4*a - 5*z - 12, -5*a + z + 18 = -z. Solve 3 - 1 = a*r, -m = -r + s for m. 0 Let r be 1*(2 + -5) + 2 + (14 - 10). Solve 2*o - 9 + 24 = -r*f, o = -3*f - 9 for o. -6 Let o = -167 - -66. Let r = o + 103. Solve -3*f = -5*l + 9, 0*l = -r*l - f + 8 for l. 3 Suppose 5*i + 24 = 11*i. Suppose -i*a + 15*a = -4*a. Solve a = 2*m - 2*d + 18, 5*m + 0 = -3*d - 5 for m. -4 Suppose 2*r - 28 = s, 3*r + 5*s - 10*s = 56. Solve 9*p = -4*z + r*p - 15, 2*z + 4 = -2*p for z. -3 Let u(a) = a**2 - 11*a + 14. Let j be u(10). Let r be 2*((-7)/42)/(3/(-45)). Solve 3*w + 20 = -5*s, -j*w - w = -r*s + 20 for s. -1 Let v be (28/(-84))/((-595)/198 + 3). Suppose 4*p = 5*s + 4, -2*s + 4*p + 62 = v. Solve 0 = -3*k + r + 1, 4*k + r = -s*r - 8 for k. -1 Let t(d) = -4*d**2 - 12*d - 3. Let c = -15 - -13. Let u be t(c). Solve -2*w - b = -0*b - 5, 5*w - u*b = 50 for w. 5 Suppose 3*n + 5*v = 82, 184*n = 188*n - 5*v - 86. Solve -2*p + 0 = s + 12, 2*p + 4*s + n = 0 for p. -4 Suppose s - 4 = -s. Let g = 121094 - 121068. Solve -s*l = -5*y - 10, -4*l - 14 = 5*y + g for y. -4 Let b = -3029 - -3040. Solve -14*o + b*o + 20 = 5*t, 4*t - 29 = -5*o for t. 1 Let n be 8 + 21/(-6)*1356/791. Suppose -3*j + 5*c = -8, -5*j - c = 3*c - 38. Solve 3*b = 6, -n*m - 4*b + j = -4 for m. 1 Let g(x) = 45*x - 2651. Let t be g(59). Solve 0 = p + t*h - 20 - 3, 3*p = -h + 14 for p. 3 Let a be -2 + (-9 - -6)*(0 + -1). Let d be (3/(-21) - 75/(-35))/a. Suppose 0*c - d*c = -6. Solve 2*f + 4*p + 16 = 0, c*p - 6*p - 19 = 5*f for f. -2 Let t(l) = -l**3 - 68*l**2 - 198*l - 190. Let k be t(-65). Solve 28*p + 2*s + 3 = 25*p, k*p = -5*s - 5 for p. -1 Suppose -4*i + 48 = -4*o, 0 = -2*i - 5*o + 31. Suppose -j + 3*w = -8, -j + i = -4*w + 2*w. Solve -j = -c + 5*q, -5*c + 2*q = 6*q + 1 for c. 3 Let f(g) = g**3 + 5*g**2 + 6*g - 1. Let b be f(-2). Let i be b - ((-3)/9)/(4/12). Solve -v + 4*m + 2 = -3*v, 4*v + 2*m + 16 = i for v. -5 Let l = 1738 + -1735. Solve -5*u + l*d = d + 3, u - d = 0 for u. -1 Let i be (-9 + 7)*(-3)/2. Suppose 5*k + 7*a - 35 = i*a, 3*k = -3*a + 21. Let p be 2/((2/6)/(100/150)). Solve -4*x = x + h - k, 0 = 5*x + p*h + 2 for x. 2 Suppose -5*p + 54 = q - 36, -4*p + 72 = q. Let k be ((-4)/6 + 3/p)*-6. Suppose 0 = 3*v - 5*x - 46, 7 = k*x + 13. Solve -a = 5*s - 24, 5*s + 0*s - 2*a = v for s. 4 Let w = -14 + 82. Suppose w = 20*v - 32. Solve 6*b - 25 = 4*u + b, 28 = -v*u + 3*b for u. -5 Suppose -1372 = 10*c - 1412. Solve 16 = -2*v + c*v - 4*d, -5*d - 2 = 2*v for v. 4 Suppose -6 = 2*o - 10. Let a be ((-3)/o)/(2/(-4)). Let y = -625 - -630. Solve 4*i + 16 = -a*b, 0 = -5*b + y*i - 5 - 10 for b. -4 Let b = -15685 + 15701. Suppose 3*l = -2*z + 38, 5*z + l - 117 = -l. Solve 5*c - f + z = f, -2*c + 2*f - b = 0 for c. -3 Suppose 0 = 26*x + 4*x. Suppose x = -f - 2*a - 8, 5*f + 12 = -a + 17. Solve -4*o - 4*g = -16, -3*g - 23 = -2*o - f*o for o. 5 Let o be 3 - (-54 - (-15 + 7)). Solve 2*w = 5*z + 4, -z + 57 - o = 4*w for z. 0 Let b be 10/(-6) + 204/36. Let n be 17/((-136)/(-36)) + (-10)/b. Solve -3*z = -2*y - 1, n*z - 4*y + 14 = y for z. 3 Let n be -3 - 54/(-24) - (-607)/4. Let r = 153 - n. Solve 4*g + r*h - 14 = -g, 5*h = 10 for g. 2 Suppose -2*v - 32 = 3*n, 0 = v + n + 4*n + 30. Let k be 25/10*(12/v)/(-3). Solve c - k = 0, -5*c = -d - 0*c - 6 for d. -1 Suppose -4*j + 4*q + 225 + 31 = 0, -5*j = 4*q - 275. Suppose -80*k + 101 = -j. Solve 0 = 5*m + k*u + 21, m = -u + 3 - 6 for m. -5 Suppose o - 52 = -2*x, x - 94 = -3*x + 3*o. Let j be 2/(16/38) + (-135)/180. Suppose -h + x = j*h. Solve -h*m - 10 = 4*p, -19 = -0*p + 5*p + 3*m for p. -5 Let l be -2 - 872/(-24) - (-2 - (-42)/18). Solve 5*m + 3*h = -l, -5*m = -4*h - 8 + 21 for m. -5 Suppose -4*y = -4*f + 4, -4*y + 50 = 15*f - 10*f. Suppose -f*t - 26 = -19*t. Solve t*m - 4*h - 14 = 0, 0 = 4*m - 5*h - 7 - 6 for m. -3 Suppose 0*x + 4*x + 100 = 4*y, y = 4*x + 43. Solve 3*j + k = 7*j + y, 0 = -2*j + k - 9 for j. -5 Let n = 2110 + -2098. Solve -w = 3*g - 5, -7*w + n = 5*g - 9*w for g. 2 Let f = -273 - -278. Suppose 0 = -3*o + f*o + 4, -3*o - 18 = -4*w. Solve -5*t = w*l + 2*l - 40, 4*l - 3*t - 11 = 0 for l. 5 Suppose -20*s - 108 = -23*s. Suppose 5*i - s = 2*i. Let p = -8 + i. Solve -2*x - p*b = -13 + 3, -2*x + 4*b + 10 = 0 for x. 5 Suppose -i + 4*i = 6. Let r be 6/(1/((210/28)/15)). Solve 3*k + i*k = -r*g + 8, 2*g - 12 = -5*k for k. 4 Suppose -u + f = 5, 5*f - 13 = -0*u - u. Let p be -3*(-25)/3 - u. Solve 6 = -4*v - 5*d + p, 2*v - 7 = d for v. 4 Suppose 242 - 95 = 7*y. Suppose -21*l - y = -28*l. Solve d = -l*x - 17, -x - 10 = x for d. -2 Suppose m + g = 3, -3*g = 4*m - 3 - 10. Let i(j) = -j**3 + 3*j**2 + 9*j - 16. Let w be i(m). Solve 4*q + 5*f - 24 = 0, -2*q + 2*f - w*f + 10 = 0 for q. 1 Let b be (13 - (-70)/(-5))/((-2)/(-40)). Let c be (-120)/b + (-1)/(3/18). Solve 3*v + l = -c*l - 13, 5*l + 15 = -5*v for v. -5 Let f = 6836 + -6836. Solve 29*p - 24*p - 2*n - 12 = 0, f = -4*p - 2*n + 24 for p. 4 Let z = 5409 + -5407. Solve 4*y - 4 = -z*s, -4 = y + s - 3 for y. 3 Let s(g) = -g**3 - 17*g**2 - 2*g - 31. Let w
{ "pile_set_name": "DM Mathematics" }
4 = 4*f. Suppose -10 + 0 = -5*h. Calculate the least common multiple of h and f. 4 Let n(j) = -j**3 + 7*j**2 - 3*j + 8. Let k be n(7). Let u(q) = q**3 + 12*q**2 - 12*q + 15. Calculate the smallest common multiple of u(k) and 18. 18 Calculate the smallest common multiple of (16/12)/((-3)/(-36)) and 2. 16 Suppose 48 = 3*x - 3*n, 3*n = 2*n. Calculate the lowest common multiple of 80 + ((-2)/(-2) - 3) and x. 624 Let t = 37 + -32. Calculate the smallest common multiple of t and 8. 40 Suppose -15 = -3*o - 0*o - 3*r, -1 = 4*o - 3*r. Calculate the smallest common multiple of o and 61. 122 Let w be 6/9 - (-2072)/(-3135). Let z = w - -63721/4180. Let o = 3685/534 - 6/89. Calculate the common denominator of o and z. 12 Find the common denominator of 52/5 and ((-9)/(-10))/(16 - 19). 10 Let b = -754/11 + 18019/264. Calculate the common denominator of b and -31/3. 24 Let v = 1381 + -12448/9. Find the common denominator of v and 5/4. 36 What is the common denominator of ((-22)/4)/((-20)/(-35)) and 5/4? 8 Let z = 5295/1700578 - 2/4547. Let k = -5603/2618 - z. Calculate the common denominator of k and 43/8. 56 Let o(g) = -g**2 + g + 2. Let a be o(-3). Calculate the common denominator of 47/18 and 33/(-24)*a/4. 144 Let f = 7896647323 + -57424419422843/7272. Let k = f + -1/1818. What is the common denominator of 76/(-16)*(-4)/7 and k? 56 Suppose -4*x + 24 = -4*n, -n = 3*n + 12. Suppose 3*u + 0*u = -6, 3*b = x*u + 66. Suppose 2*j + 80 = b. Find the common denominator of j and 3/11. 11 Let r = -75 - -39. Let x be (-4)/18 - (-100)/r. What is the common denominator of (0 - 1) + x/(-33) and -45/7? 77 Let y = 4637 - 41657/9. Find the common denominator of y and 209/(-12) + 3/(-12). 9 Suppose -5*q + 6*q - 1 = -5*p, p + 31 = 5*q. What is the smallest common multiple of 9 and q? 18 Suppose -309 = 3*l + 330. Let x be 9628/(-48) + 2/(-8). Let s = x - l. What is the common denominator of s and -85/2? 6 What is the common denominator of -19/18 and 6/(-330)*85/2? 198 Let h(a) = 13*a**2 - 1. Calculate the smallest common multiple of h(1) and 3. 12 Let w(k) = k**2 + 4*k - 2. Suppose -r = 3*f - 22, 9*r - 4*r - 19 = -2*f. Let y = 1 + f. What is the lowest common multiple of w(-6) and y? 40 Let b = 4570 + 2043. Let r = b - 145379/22. Find the common denominator of 2068/280 - (-2)/(-7) and r. 110 Let d = 164176043338185/28865557803824 - 972/388897901. Let s = d - 1/9278. Let i = 8567/4 + -94383/44. Find the common denominator of s and i. 176 Suppose -45 = -9*w - 0*w. What is the smallest common multiple of w and 10? 10 What is the common denominator of 21/(-56) - (-1551)/72 and 47/8? 24 Let m be ((-2)/(-5) - 2)*-5. Let c = 22 - m. What is the smallest common multiple of c and 6? 42 Let h = -19403/4112 - -8/257. Calculate the common denominator of -127/36 and h. 144 Suppose -2*k + 25 = 3*k. Calculate the smallest common multiple of k and ((-11)/(-2) + 0)/((-3)/(-6)). 55 Let f(i) = i + 5. Let l be f(-8). Let k(o) = -o - 5. Let v be k(l). What is the smallest common multiple of 25/v*(-16)/20 and 2? 10 Let n = -8 - -24. Suppose -5*q + 24 = -n. Suppose 8*i - 3*i = 55. What is the least common multiple of q and i? 88 Let n = -28/25 - 183/350. Find the common denominator of n and (-1 - (-30)/4)*1. 14 Suppose -3*h + h = -10. Suppose -10 + 5 = -h*d. What is the lowest common multiple of 4 and d? 4 Let s = -53 - -68. What is the lowest common multiple of 21 and s? 105 Let q = 14163 + -255029/18. Calculate the common denominator of 40/33 and q. 198 Find the common denominator of 59/33 and 1309/(-210) + (4 - 0). 330 Suppose 0 = -b + l - 4*l + 7, 13 = 4*b - 3*l. Suppose -b*y = -7*y + 15. What is the lowest common multiple of 12 and y? 60 Let d(g) = g**3 + 7*g**2 - 10*g - 10. Suppose -4*s - 3*q + q = -64, 3*s - 5*q - 61 = 0. What is the smallest common multiple of d(-8) and s? 102 Let z = 33/1244 + -952315/1244. Let v(j) = 265*j - 2. Let g be v(-3). Let o = z - g. Find the common denominator of 73/16 and o. 16 Let m = 6/353 - 6049/2824. What is the common denominator of m and -65/48? 48 Let c = 7027 - 154541/22. What is the common denominator of 85/28 and c? 308 Suppose -i + 4*i - 48 = 0. Calculate the lowest common multiple of i and (8/16)/((-1)/(-20)). 80 Let i be (-3)/(-18)*2141/(-1). Let t = i - -1040/3. Find the common denominator of t and 58/3. 6 Let o = -630 + 350. Let l = o - -395. Find the common denominator of l/(-6) - (-2 + 1) and 115/6. 6 Let x = 11 - 5. Suppose -p - x = -3*p. What is the smallest common multiple of 7 and 2/p + (-13)/(-3)? 35 Let t = -29 + -22. Find the common denominator of -33/2 and (-6)/3*t/(-12). 2 Calculate the smallest common multiple of 8 and 5/(-15) + (-10)/(-3). 24 Let d be 4/2*(-3)/(-2). Let p = 0 + d. Find the common denominator of p - (153/(-12))/1 and -56/5. 20 What is the common denominator of (-110)/36 - 1/1 and 969/54 + 1 - 6/(-27)? 18 Let f = -15507/21664 - 2/677. Find the common denominator of 107/6 and f. 96 Suppose -5*i + 4*x + 20 = -x, 4 = i + 2*x. What is the lowest common multiple of 18 and i? 36 Let n be -10654*((-2)/1)/16. Let k be (-10)/35 - (-817242)/(-616). Let h = n + k. Find the common denominator of 25/16 and h. 176 Let s(x) = 2*x**2 - 4*x - 8. Suppose 3*r - 21 = -6. Calculate the least common multiple of 8 and s(r). 88 Let f = -29513/18860 - -14/943. Calculate the common denominator of f and (1270/70)/((-12)/(-14)). 60 Calculate the common denominator of (-143)/6*2/(-4) and (4 - -10)/((-80)/14). 60 Let u = 72 - 32. What is the least common multiple of 3 and u? 120 Suppose 0 = 4*z - 3*z + 109. Let m = z + 186. Calculate the common denominator of (m/(-8))/((-3)/(-12)) and 35/18. 18 Let p = -10 + 5. Let d be p - -3 - 209770/(-32). Let h = d - 6549. Find the common denominator of h and 57/22. 176 Suppose 85 = 5*q - d, 5*d + 8 = 2*q - 3. What is the least common multiple of q and 30? 90 Let i(u) = 2*u - 10. What is the smallest common multiple of 6 and i(15)? 60 Suppose -2*v + 5*v = 6. Suppose -17 = -2*f - h, v*h - 3 + 29 = 2*f. Calculate the smallest common multiple of f and 11. 110 Suppose -10 - 6 = -2*l. What is the least common multiple of l and 6/10 - (-14)/10? 8 Suppose 2*y = -2*b + 79 - 27, 0 = -y + 3*b + 42. Calculate the lowest common multiple of 25 and y. 150 Suppose 6*w + 2*w = 32. Calculate the least common multiple of w and 42. 84 Let d be (-1)/(-3) + 17/3. Let n(z) = -z**3 - 4*z**2 - 2*z - 6. Let k be n(-4). Suppose -j + d = -k. What is the smallest common multiple of j and 22? 88 Let d be (-8)/(-5) + 6/15. Suppose 0 = -3*y - 0*y. Suppose d*p - p - 8 = y. What is the least common multiple of p and 3? 24 Suppose -6 = -2*x, -4*r + 6*r + 5*x = 43. Calculate the common denominator of 38/9 and r/105*(1 + 11). 45 Let m = 2131/4 + -538. Let t = 45 + -27. Find the common denominator of m and (825/t)/5 + 0. 12 Calculate the common denominator of -1 + (243/(-10))/(-3) and -127/6. 30 Let u be 8601/(-1140) + 3/(-4). Let x = 40/19 - u. Calculate the common denominator of x and (114/(-14))/((-6)/(-21)). 10 Suppose 3*j = 42 + 198. Suppose 4*p + 4*v + 12 = 92, -4*p + 2*v = -j. What is the least common multiple of 18 and p? 180 Suppose -2*k - 2 = 44. Let t = -11 - k. Calculate the least common multiple of t and 10. 60 Let f(k) = -k**3 + 4*k**2 + 3*k - 4. Let g be f(3). Let t = 2 - g. What is the common denominator of 17/12 and (-4)/(-2) - (-213)/t? 12 Let j = 4 - 2. Let s(m) = m**2 - 2*m - 3. What is the least common multiple of s(4) and j? 10 Suppose -2*i = -6*i + 12. Let l be (-2 + i)/((-1)/(-89)). What is the common denominator of -45/7 and l/35 + 6/(-15)? 7 Let s(f) = -f**2 - 7601. Let o be s(0). Let r = 75909/10 + o. Let m = -4 - 37. Find the common denominator of m and r. 10 Let d(v) = -2*v + 38. What is the smallest common multiple of (1*-2)/(1/(-8)) and d(13)? 48 Let a = 95 - 41. Suppose -4*p = -a + 6. Find the common denominator of ((-94)/p)/((-3)/(-9)) and -97/16. 16 Let y be 6*4/(-2) - -2. Let m(h) = h**2 + 10*h + 10. What is the lowest common multiple of m(y) and 20? 20 Let d = -3 + 5. Suppose 0 = w - 5*w + 24. Let j = -4 + w. What is the least common multiple of j and d? 2 Let b = -279/2 + 120. Find the common denominator of b and 15/(-12)*(20/(-6))/2. 12 Suppose -4*c + 24 = -20. Find the common denominator of c and -1*(1/(-1
{ "pile_set_name": "DM Mathematics" }
6, -5*b = x - 13 for b. 2 Solve 5*c = b + 13, -66*b - 39 = -61*b + c for b. -8 Solve 3*h + 11 = 2*f, -2*f = 5*h - 4*f + 17 for h. -3 Solve 29*p + 4*d = 25*p - 16, 3*d = -5*p - 18 for p. -3 Solve 0 = -5*d - w + 1, -w = d + 3*d for d. 1 Solve 7 = 5*a + 2, -2*c + 5*a - 9 = 0 for c. -2 Solve 10 + 0 = 5*l, 3*l = v + 5 for v. 1 Solve w + 25 = 5*n, 4*n - 11 - 9 = 0 for w. 0 Solve -4*x = -p + 15, 25*p + 5*x + 23 = 22*p for p. -1 Solve p + 5*q + 11 = 0, 6*p - 10*p + 1 = 5*q for p. 4 Solve -4*l = 5*m + 24, 88*l = 87*l + 4*m + 15 for l. -1 Solve -5*q - 16 = u, -13*q + 14*q = u - 2 for q. -3 Solve t - 5*k + k = 4*t, 5*k = 0 for t. 0 Solve -c + 5 - 21 = -4*y, -2*y = -3*c + 2 for y. 5 Solve 3*w - 14 = 3*y + w, 2 = -5*y - 2*w for y. -2 Solve m + 12 = 6*c - 3*c, -4 = -c + 4*m for c. 4 Solve -5*i - 18 = l, -3*i - 6 = 3*l - 4*i for l. -3 Solve -g - 5*b = 28, -76 = 3*g - 5*b - 112 for g. 2 Solve -3*p + 5*i + 374 - 390 = 0, 4*i - 4 = -2*p for p. -2 Solve -5*a + 0*a + 7 = 2*j, -23 = -5*a + 2*j for a. 3 Solve -2*s - 2*u + 0 = -2, -4*u = -3*s + 3 for s. 1 Solve 0*r + 4*k = -3*r - 3, 0 = 2*r + 4*k - 2 for r. -5 Solve 35*f - 33*f - 3*y - 8 = 0, 2*y + 12 = 3*f for f. 4 Solve 36*b = 4*c + 37*b, 5*b = 3*c for c. 0 Solve a + 3*b = 0, 33*b - 36*b = -2*a - 18 for a. -6 Solve -2*i - 5*o = -11, o + 0 = -3*i + 10 for i. 3 Solve 2*p + 0*c = -c, 3*p = -2*c for p. 0 Solve -5*v + 3*z = 14, 3*v + 2*z = -6 - 10 for v. -4 Solve 24 = 4*r + 32, 11 = -3*b - 4*r for b. -1 Solve 2*g = -h - 3*h - 6, 3*h - 5*g - 28 = 0 for h. 1 Solve 3*d + 2*d = 5*l, 4*d = l + 12 for l. 4 Solve 26*a + o = 23*a + 14, 3*a = o + 10 for a. 4 Solve 2*q = 8, -2*q + 12 = -4*k - 12 for k. -4 Solve 5*a - 23 = -7*p + 9*p, 0 = -4*a + 4*p + 16 for a. 5 Solve -3*z = -5*k + 7, 3*k - 21 = 4*z + 8*k for z. -4 Solve 4*k - 13*i + 3 = -8*i, -2*k = -3*i + 1 for k. -2 Solve -2*j = 2*l + 18, 14*j = 9*j + 4*l - 9 for j. -5 Solve -4*c - 2*a = -4 - 2, 4*a = -4*c for c. 3 Solve 13*l - 10*l = -i + 6, -13 = -l - 4*i for l. 1 Solve -t + 5 = -0*t + 5*o, 3*o - 3 = -t for t. 0 Solve 0 = -o + 4*p + 14 - 16, 5*o - 13 = -3*p for o. 2 Solve -2*q = -4*q + 4, 3*p - 10 = -2*q for p. 2 Solve u = 2*g + 12, -2*g - 2*u + u = 8 for g. -5 Solve 5*t - 4*l = -1, 2 = 11*t - 13*t + 2*l for t. 3 Solve 0*f + 3*f - 5*b = 29, -2*b - 2 = 2*f for f. 3 Solve m + 40*v - 3 = 43*v, 0 = -3*m + 5*v + 1 for m. -3 Solve -5*s = -3*s + 3*g + 8, g - 2 = -3*s for s. 2 Solve 0 = -3*m - 3*k - 21, -3*m + 2*k = 6*k + 24 for m. -4 Solve 2*x + 2*b - 14 = -2*x, 4*x + 4*b = 24 for x. 1 Solve -2*l - 2 = 0, -658 = r - 2*l - 657 for r. -3 Solve -5*u + 32 = -3*f, 0*f + 3*f + 5*u = 8 for f. -4 Solve -3*h + p + 6 = 0, -38 = 15*h - 17*h - 5*p for h. 4 Solve 0 = 2*j - 2*k, -3*k - 2*k - 9 = 4*j for j. -1 Solve g - 20*p = -18*p + 8, -5*g = 2*p + 20 for g. -2 Solve -2*g - 3 = -3*p - 12, -4*g - 3*p - 9 = 0 for g. 0 Solve -5*n + 2*w = -20, 0 = n - 3*n + 5*w + 29 for n. 2 Solve -20 = -n + 3*f, f = 4*n - 3*f - 40 for n. 5 Solve 2*k - 2 = -r, 3*k + 9 = -2*r + 13 for k. 0 Solve 2*f = -4*c - 20, 0 = 5*c - 16 + 51 for f. 4 Solve -3*n + 13 = -0*n - 2*i, 3*i + 3 = -n for n. 3 Solve g = -4*g - 2*y, -g - 3*y - 13 = 0 for g. 2 Solve -3*n - 18 = 3*m, -3*m - n + 0*n = 18 for m. -6 Solve 3*a - 307*p + 304*p - 21 = 0, -a - p - 3 = 0 for a. 2 Solve -15 = m - 7*u + 10*u, -m + 3*u = -9 for m. -3 Solve 2*s + 3*z - 12 = 0, 2*s + 2*z = -0*s + 8 for s. 0 Solve 5*r - 7*n + 4*n - 26 = 0, 3*r + 5*n - 2 = 0 for r. 4 Solve 0*a - 2*a + 4*v + 20 = 0, -4*a + 15 = -3*v for a. 0 Solve 4*j + 16 = 2*c + 4, 20 = -4*c - 3*j for c. -2 Solve 3*v = -4*w + 9 - 6, 0 = -5*w + v - 20 for w. -3 Solve 0*w = 3*w - 4*i - 32, -3*i = 15 for w. 4 Solve -10 + 12 = 2*k, -4*q - 1 = -k for q. 0 Solve -4*w = 4, -3 = 2*a - w - 6 for a. 1 Solve -v + 2*l - 6*l + 4 = 0, l = 4*v + 1 for v. 0 Solve 0 = -3*a + 5*m + 2, -20 = 2*a - 3*m - 22 for a. 4 Solve -h - 10 + 20 = 2*b, 5*b + 3*h = 27 for b. 3 Solve -3*n + 29 = 4*c, 5*c - 5*n - 4 = 6 for c. 5 Solve 3*r = -2*b - 14, 13*b - 17*b - 2*r = 4 for b. 2 Solve -15 = 5*v - 5*q, -4*q = -4*v - q - 7 for v. 2 Solve 3*a = 3, 2*v + 5*a - a = 2 for v. -1 Solve 42 = 2*q - r + 53, -4*r = -12 for q. -4 Solve 5*r = -2*p - 4, -28*p = -32*p - 2*r - 8 for p. -2 Solve -u - 3 + 19 = -3*s, 4*u = 3*s + 28 for u. 4 Solve 3*v = 6*v - 3, 5*d = 2*v - 7 for d. -1 Solve 3*o + 7 = -4*t - 2, -4*t = -2*o + 14 for o. 1 Solve 4*h + 3*v = 388 - 405, -h + 5*v = 10 for h. -5 Solve -1 + 5 = -m, 3*d = -m - 13 for d. -3 Solve -1 = -5*o - k, 4*o + 0*k - 4*k = -4 for o. 0 Solve 2*c = -2*b - 4, -5*b + 35 - 9 = -4*c for c. -4 Solve 2 = -2*t - 0*x - x, 2*t - 3*x + 18 = 0 for t. -3 Solve -15 = -4*t + 2*n - 11, -t + n = -3 for t. -1 Solve -p = -4*p + 5*k - 13, 0 = 3*k - 15 for p. 4 Solve 0 = -4*z + 2*h - 4, -z + 3 = -h + 5 for z. 0 Solve o - 3*c + 7 + 4 = 0, 5*c = 5*o + 35 for o. -5 Solve 0 = 2*y + k + 11 - 9, 4*y + 16 = 4*k for y. -2 Solve 5*y + 24 = -4*r, 4*y - 2*r + 15 = -r for y. -4 Solve 17*r + 4 = -c + 13*r, 0 = -4*c - 3*r - 16 for c. -4 Solve 0 = 2*w - 2, 415*b = 417*b - 5*w + 3 for b. 1 Solve 6*b + 20 = 5*x + b, b = 0 for x. 4 Solve 4*n + 8 + 4 = 5*m, -5*n - 2*m = 15 for n. -3 Solve 10 = 2*q, 0*q - 5*q = -4*t - 13 for t. 3 Solve 2*f - 10*w = -12*w - 8, 3*w - 8 = 2*f for f. -4 Solve -55*m + 59*m = -4*c - 8, 0 = 4*m + 5*c + 12 for m. 2 Solve 2*m + 3*g = 8*g - 22, 4*m - 2*g + 12 = 0 for m. -1 Solve -4*c + 0 = -4*u - 20, -4*u + 5*c = 24 for u. -1 Solve 0 = -n + 4*a + 7, -n + 3*n + a - 5 = 0 for n. 3 Solve o - 3*r - 5 = 5*o, 3*o + 2 = -4*r for o. -2 Solve -4*d + 6*d = -n - 8, -d = -4*n + 13 for d. -5 Solve 3*v - 3*a + 4*a + 17 = 0, 5*v = a - 15 for v. -4 Solve 0*i + i + 3*g = 11, 2*i + 4*g - 18 = 0 for i. 5 Solve -g - 13*b + 16*b + 16 = 0, -4*g = -3*b - 28 for g. 4 Solve -3*f + i - 2 = 0, -46 = 3*f + 6*i - 37 for f. -1 Solve -2*h - 4*s = 18, 20 = -7*h + 2*h - 5*s for h. 1 Solve -5 = x - u, -2*u = 144*x - 141*x - 15 for x. 1 Solve 0 = 2*t - d - 3, -2*t - 1 = 3*d - 16 for t. 3 Solve -2*g - 2*d + 8 = 2*d, d = 3*g - 5 for g. 2 Solve 2*t - 2*v = -24, 5*t - 100 = -5*v - 110 for t. -7 Solve -3*s - 30 = -3*a, 4*a - 10 = -0*s - 2*s for a. 5 Solve -3*n - 2*b - 7 = 0, -10*b + 8*b = -n + 3 for n. -1 Solve -4*t + 7*c - 2*c + 15 = 0, -3 = -3*c for t. 5 Solve -55*l + u = -50*l + 5, 0 = 4*l + 5*u + 33 for l. -2 Solve -d - u + 49 = 47, -14 = -3*d + 5*u for d. 3 Solve 5*q - 9 = 2*q, -q + 11 = 2*v for v. 4 Solve -4*b + 2*f + 12 = 0, b = -0*b + 2*f + 9 for b. 1 Solve -3*u - 28 + 31 = 0, 3*n = -4*u - 2 for n. -2 Solve 0 = -2*m - c + 4 + 6, 4*m - 2*c = 12 for m. 4 Solve 4*j - 8 = 0, -18 = -3*b - 6*j + 3*j for b. 4 Solve 3*p - 5*m - 2 = 0, 5*p = -26*m + 21*m - 50 for p. -6 Solve 0 = -5*y + t - 1, -2*t - 32 + 19 = 5*y for y. -1 Solve -v = -6*v + 5*n - 40, 4*v - 8 = -4*n for v. -3 Solve -2*v = -d - 12, 17*d - 4*v + 12 = 18*d for d. -4 Solve -f + 12 = -3*o, -3*f - 2*o + 4 = 1 for f. 3 Solve 2*c - x - 16 = 0, -2*x + 32 = 11*c - 7*c for c. 8 Solve -4 = -4*c + 3*r, 5*c = 3*c + 5*r + 16 for c. -2 Solve -4*h + 9 - 1 = -2*c, -40 = -5*c - 5*h for c. 4 Solve -3*r - 2 = 5*z, -5*z - 3*r - 7 = -5*r for z. -1 Solve -2*q + 3*w = 9, 4 = -2*q - q - 5*w for q. -3 Solve -3 = r + 3*i, -5*r = 3*i - i - 11 for r. 3 Solve -13 + 19 = -3*y, -5*i + 2*y = 6 for i. -2 Solve 2*w - 5 = h - 0*w, w = -5*h + 19 for h. 3 Solve 5*g - 2*g = z + 11, -3*z - 2*g + 22 = 0 for z. 4 Solve u + 5*s + 3 = -15, -5*s = 3*u + 24 for u. -3 Solve o = -5*m - 17, o + 4*m + 9 = -4 for o. 3 Solve -3*i + 0*p = -5*p - 35, 28 = 2*i - 4*p for i. 0 Solve 0 = 4*z - 2*z - 2*n - 16, -3*z = 4*n + 4 for z. 4 Solve -12 + 3 = -3*u + 3*q, -2*u - 3*q = 19 for u. -2 Solve -3*m - 4*r = -0*r - 1, -4*m = -4*r + 8 for m. -1 Solve -3*p - 3 + 5 = -2*q, 3*q - p + 10 = 0 for q. -4 Solve 2*r - 4*c + 6*c + 4 = 0, 11 = 2*r - 3*c for r. 1 Solve 0 = 3*k - 3*i + 30, -3*i + 10 = -i for k. -5 Solve 2*s = 2*v + 6 + 2, -5*s + 3*v = -18 for s. 3 Solve 3*c = -3*m - 21, -18*c - 15 = m - 15*c for m. -3 Solve 28 = 4*k - 4*r, k + 2*k + 3*r - 9 = 0 for k. 5 Solve -5*y = 2*g - 22, -y + 8 + 1 = 5*g for g. 1 Solve -3*x + 4*k + 29 = 0, -2*x = 30*k - 35*k - 31 for x. 3 Solve 0 = -5*d - n + 24, 8*n + 8 = d + 5*n for d. 5 Solve o + 7*p + 23 = 3*p, 0 = -2*p - 10 for o. -3 Solve -6 = -0*a - a + q, -12 = -5*a - 4*q for a. 4 Solve -5*i + 3*w + 4 = -20, 0 = 2*i - 4*w -
{ "pile_set_name": "DM Mathematics" }
e the prime factors of 136884? 2, 3, 11, 17, 61 List the prime factors of 6138. 2, 3, 11, 31 What are the prime factors of 72349? 71, 1019 What are the prime factors of 2789? 2789 List the prime factors of 1474. 2, 11, 67 List the prime factors of 4938. 2, 3, 823 List the prime factors of 1427. 1427 List the prime factors of 3858. 2, 3, 643 List the prime factors of 36772. 2, 29, 317 List the prime factors of 150829. 7, 29, 743 What are the prime factors of 59885? 5, 7, 29, 59 What are the prime factors of 38021? 193, 197 What are the prime factors of 47164? 2, 13, 907 What are the prime factors of 4636? 2, 19, 61 List the prime factors of 5428. 2, 23, 59 What are the prime factors of 387? 3, 43 List the prime factors of 52734. 2, 3, 11, 17, 47 List the prime factors of 1030. 2, 5, 103 List the prime factors of 616. 2, 7, 11 List the prime factors of 32038. 2, 83, 193 What are the prime factors of 1027? 13, 79 List the prime factors of 22389. 3, 17, 439 What are the prime factors of 10964? 2, 2741 What are the prime factors of 369? 3, 41 List the prime factors of 77774. 2, 37, 1051 What are the prime factors of 4201? 4201 What are the prime factors of 31719? 3, 97, 109 What are the prime factors of 14223? 3, 11, 431 What are the prime factors of 517? 11, 47 What are the prime factors of 2651? 11, 241 What are the prime factors of 6441? 3, 19, 113 List the prime factors of 2285. 5, 457 List the prime factors of 1407. 3, 7, 67 List the prime factors of 4583. 4583 What are the prime factors of 559? 13, 43 What are the prime factors of 1015? 5, 7, 29 What are the prime factors of 5808? 2, 3, 11 List the prime factors of 6368. 2, 199 List the prime factors of 3844. 2, 31 What are the prime factors of 535? 5, 107 List the prime factors of 102399. 3, 11, 29, 107 List the prime factors of 16766. 2, 83, 101 List the prime factors of 15689. 29, 541 List the prime factors of 21518. 2, 7, 29, 53 List the prime factors of 4412. 2, 1103 List the prime factors of 38654. 2, 7, 11, 251 What are the prime factors of 1925? 5, 7, 11 What are the prime factors of 9955? 5, 11, 181 What are the prime factors of 6132? 2, 3, 7, 73 List the prime factors of 110028. 2, 3, 53, 173 What are the prime factors of 16284? 2, 3, 23, 59 List the prime factors of 90610. 2, 5, 13, 17, 41 List the prime factors of 39448. 2, 4931 What are the prime factors of 169193? 71, 2383 List the prime factors of 26633. 26633 List the prime factors of 36236. 2, 9059 List the prime factors of 18812. 2, 4703 What are the prime factors of 2194? 2, 1097 What are the prime factors of 49520? 2, 5, 619 List the prime factors of 822. 2, 3, 137 What are the prime factors of 2752? 2, 43 What are the prime factors of 17487? 3, 29, 67 List the prime factors of 2150. 2, 5, 43 What are the prime factors of 2818? 2, 1409 List the prime factors of 16925. 5, 677 List the prime factors of 1060. 2, 5, 53 What are the prime factors of 2320? 2, 5, 29 What are the prime factors of 1143? 3, 127 List the prime factors of 3255. 3, 5, 7, 31 List the prime factors of 10356. 2, 3, 863 What are the prime factors of 4678? 2, 2339 What are the prime factors of 3798? 2, 3, 211 List the prime factors of 1441. 11, 131 What are the prime factors of 672? 2, 3, 7 List the prime factors of 81. 3 List the prime factors of 98. 2, 7 What are the prime factors of 4121? 13, 317 List the prime factors of 915. 3, 5, 61 What are the prime factors of 9276? 2, 3, 773 What are the prime factors of 1721? 1721 List the prime factors of 7664. 2, 479 List the prime factors of 1463. 7, 11, 19 List the prime factors of 4792. 2, 599 List the prime factors of 4357. 4357 List the prime factors of 56913. 3, 61, 311 List the prime factors of 1603. 7, 229 What are the prime factors of 895? 5, 179 List the prime factors of 5408. 2, 13 What are the prime factors of 114275? 5, 7, 653 List the prime factors of 44895. 3, 5, 41, 73 What are the prime factors of 2322? 2, 3, 43 What are the prime factors of 182432? 2, 5701 What are the prime factors of 5649? 3, 7, 269 List the prime factors of 1343. 17, 79 List the prime factors of 62149. 19, 3271 List the prime factors of 29516. 2, 47, 157 What are the prime factors of 1522? 2, 761 What are the prime factors of 1297? 1297 List the prime factors of 850. 2, 5, 17 What are the prime factors of 2280? 2, 3, 5, 19 List the prime factors of 343. 7 List the prime factors of 14826. 2, 3, 7, 353 List the prime factors of 1299. 3, 433 What are the prime factors of 20970? 2, 3, 5, 233 What are the prime factors of 15216? 2, 3, 317 What are the prime factors of 666? 2, 3, 37 List the prime factors of 16828. 2, 7, 601 What are the prime factors of 41342? 2, 7, 2953 What are the prime factors of 5147? 5147 What are the prime factors of 5510? 2, 5, 19, 29 What are the prime factors of 1499? 1499 What are the prime factors of 63089? 13, 23, 211 List the prime factors of 620. 2, 5, 31 What are the prime factors of 1982? 2, 991 What are the prime factors of 14865? 3, 5, 991 What are the prime factors of 64062? 2, 3, 3559 List the prime factors of 4707. 3, 523 What are the prime factors of 71501? 127, 563 What are the prime factors of 1239? 3, 7, 59 What are the prime factors of 94? 2, 47 List the prime factors of 24840. 2, 3, 5, 23 List the prime factors of 120184. 2, 83, 181 List the prime factors of 1275. 3, 5, 17 What are the prime factors of 9338? 2, 7, 23, 29 List the prime factors of 8744. 2, 1093 List the prime factors of 7293. 3, 11, 13, 17 List the prime factors of 2325. 3, 5, 31 List the prime factors of 2797. 2797 What are the prime factors of 13627? 13627 What are the prime factors of 75296? 2, 13, 181 List the prime factors of 9142. 2, 7, 653 List the prime factors of 24288. 2, 3, 11, 23 What are the prime factors of 7852? 2, 13, 151 What are the prime factors of 3248? 2, 7, 29 What are the prime factors of 40104? 2, 3, 557 What are the prime factors of 1462? 2, 17, 43 What are the prime factors of 7942? 2, 11, 19 What are the prime factors of 178712? 2, 89, 251 List the prime factors of 91091. 7, 11, 13 What are the prime factors of 14630? 2, 5, 7, 11, 19 List the prime factors of 14692. 2, 3673 List the prime factors of 1458. 2, 3 List the prime factors of 18501. 3, 7, 881 List the prime factors of 1929. 3, 643 What are the prime factors of 4507? 4507 What are the prime factors of 22662? 2, 3, 1259 What are the prime factors of 13688? 2, 29, 59 List the prime factors of 630. 2, 3, 5, 7 List the prime factors of 2185. 5, 19, 23 List the prime factors of 1689. 3, 563 List the prime factors of 50144. 2, 1567 List the prime factors of 59673. 3, 19891 What are the prime factors of 1941? 3, 647 List the prime factors of 28330. 2, 5, 2833 What are the prime factors of 21784? 2, 7, 389 What are the prime factors of 28268? 2, 37, 191 What are the prime factors of 14148? 2, 3, 131 List the prime factors of 114543. 3, 11, 13, 89 List the prime factors of 18936. 2, 3, 263 List the prime factors of 21111. 3, 31, 227 What are the prime factors of 126? 2, 3, 7 What are the prime factors of 977? 977 What are the prime factors of 1214? 2, 607 List the prime factors of 18544. 2, 19, 61 List the prime factors of 9573. 3, 3191 List the prime factors of 19955. 5, 13, 307 List the prime factors of 2544. 2, 3, 53 List the prime factors of 17823. 3, 13, 457 List the prime factors of 1150. 2, 5, 23 What are the prime factors of 913? 11, 83 List the prime factors of 5863. 11, 13, 41 What are the prime factors of 1172? 2, 293 What are the prime factors of 7218? 2, 3, 401 What are the prime factors of 28042? 2, 7, 2003 What are the prime factors of 5971? 7, 853 What are the prime factors of 3644? 2, 911 List the prime factors of 8447. 8447 List the prime factors of 5312. 2, 83 List the prime factors of 381. 3, 127 List the prime factors of 2467. 2467 List the prime factors of 383. 383 What are the prime factors of 3956? 2, 23, 43 List the prime factors of 1871. 1871 What are the prime factors of 4270? 2, 5, 7, 61 What are the prime factors of 14197? 14197 What are the prime factors of 682? 2, 11, 31 List the prime factors of 218. 2, 109 List the prime factors of 15554. 2, 7, 11, 101 List the prime factors of 4749. 3, 1583 What are the p
{ "pile_set_name": "DM Mathematics" }
our letters picked without replacement from {h: 1, o: 2, y: 8, b: 1, g: 3, j: 3}. 1/1020 Calculate prob of picking 1 i and 1 e when two letters picked without replacement from eyieieiiip. 1/3 Four letters picked without replacement from {n: 5, g: 1, e: 6, f: 3, w: 2}. Give prob of picking 1 g and 3 e. 1/119 What is prob of picking 1 d, 1 o, and 1 i when three letters picked without replacement from iioiiaddtviitii? 16/455 What is prob of picking 1 r and 1 i when two letters picked without replacement from {b: 3, i: 1, j: 2, v: 5, r: 1}? 1/66 Four letters picked without replacement from mmzzlklymm. What is prob of picking 3 m and 1 k? 2/105 What is prob of picking 2 m when two letters picked without replacement from {w: 3, m: 5, t: 2}? 2/9 Three letters picked without replacement from {u: 5, o: 1, z: 3}. What is prob of picking 2 u and 1 z? 5/14 Three letters picked without replacement from tdtdydddddddte. What is prob of picking 3 d? 3/13 What is prob of picking 1 l, 1 t, and 2 w when four letters picked without replacement from llwwgt? 2/15 What is prob of picking 3 x when three letters picked without replacement from {x: 3, l: 5, g: 2}? 1/120 Two letters picked without replacement from {p: 7, s: 3, t: 3}. What is prob of picking 1 t and 1 s? 3/26 Three letters picked without replacement from {b: 5}. Give prob of picking 3 b. 1 Calculate prob of picking 2 h when two letters picked without replacement from hyyyhyyyy. 1/36 Three letters picked without replacement from zziwizizziwzzi. What is prob of picking 2 i and 1 z? 5/26 Calculate prob of picking 1 n, 1 y, and 1 x when three letters picked without replacement from {y: 2, x: 6, i: 2, k: 1, n: 2, p: 4}. 3/85 What is prob of picking 3 y when three letters picked without replacement from yyyyeynyzyyeyyneyuy? 220/969 Two letters picked without replacement from {v: 2, a: 1, j: 1, b: 2, r: 2, e: 1}. Give prob of picking 1 v and 1 e. 1/18 Calculate prob of picking 2 e when two letters picked without replacement from jjeg. 0 Four letters picked without replacement from {g: 1, h: 4, j: 4, v: 6, m: 1}. What is prob of picking 1 v and 3 j? 6/455 What is prob of picking 3 e when three letters picked without replacement from eeeeeeeeeceeeeeeeeee? 17/20 What is prob of picking 1 i and 1 r when two letters picked without replacement from {j: 1, b: 3, i: 1, r: 2}? 2/21 Three letters picked without replacement from {k: 1, w: 1, d: 1, l: 1, r: 1}. What is prob of picking 1 l, 1 w, and 1 k? 1/10 Two letters picked without replacement from aayvavyvyyyyasyvpsyp. What is prob of picking 1 y and 1 v? 16/95 Three letters picked without replacement from {w: 11, d: 3, g: 1}. Give prob of picking 3 w. 33/91 Calculate prob of picking 3 x and 1 e when four letters picked without replacement from {e: 2, x: 5}. 4/7 Two letters picked without replacement from hhhdhhuuudd. What is prob of picking 1 h and 1 d? 3/11 Four letters picked without replacement from {b: 1, w: 1, s: 9}. What is prob of picking 2 s, 1 b, and 1 w? 6/55 Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {s: 1, x: 1, k: 2}. 1/6 What is prob of picking 2 y when two letters picked without replacement from {e: 1, f: 1, l: 1, x: 5, y: 4}? 1/11 What is prob of picking 1 f and 1 r when two letters picked without replacement from {b: 2, r: 1, p: 3, f: 1, a: 3, y: 1}? 1/55 Three letters picked without replacement from nnnnnncnnnnnnnnnnnnc. Give prob of picking 2 c and 1 n. 3/190 Four letters picked without replacement from {c: 2, y: 3, x: 2, e: 4}. What is prob of picking 1 y, 1 e, and 2 c? 2/55 What is prob of picking 1 g and 2 q when three letters picked without replacement from qgdqddqq? 3/28 Two letters picked without replacement from kccccccccccck. What is prob of picking 1 k and 1 c? 11/39 What is prob of picking 1 u and 1 y when two letters picked without replacement from yuvva? 1/10 What is prob of picking 1 r and 1 v when two letters picked without replacement from {m: 1, o: 1, l: 2, r: 1, a: 1, v: 1}? 1/21 Two letters picked without replacement from {o: 1, p: 1, s: 1, c: 5, h: 1, l: 4}. Give prob of picking 1 p and 1 h. 1/78 Four letters picked without replacement from {d: 1, x: 1, g: 2, a: 2, m: 2, y: 4}. What is prob of picking 3 y and 1 d? 4/495 What is prob of picking 2 b and 1 p when three letters picked without replacement from {j: 2, b: 2, p: 7}? 7/165 Calculate prob of picking 1 e and 1 j when two letters picked without replacement from etptteekktektj. 4/91 What is prob of picking 1 r, 1 o, and 1 k when three letters picked without replacement from {k: 1, r: 3, o: 1, q: 1, c: 5, s: 1}? 3/220 Three letters picked without replacement from zarjj. What is prob of picking 1 r and 2 j? 1/10 Four letters picked without replacement from abtxttbbbbyba. Give prob of picking 2 t, 1 y, and 1 x. 3/715 Three letters picked without replacement from {r: 8, c: 2, b: 2, s: 1, g: 2}. What is prob of picking 1 g and 2 r? 8/65 What is prob of picking 2 o and 1 n when three letters picked without replacement from dnnonodooojnoqr? 12/91 What is prob of picking 4 l when four letters picked without replacement from lqqlllqqlqlllqqllll? 165/1292 Calculate prob of picking 2 i when two letters picked without replacement from {y: 2, i: 2, k: 1}. 1/10 Two letters picked without replacement from {c: 1, r: 1, l: 1, m: 5, a: 2}. Give prob of picking 2 m. 2/9 What is prob of picking 1 n and 1 e when two letters picked without replacement from {c: 4, o: 1, e: 7, n: 1, j: 2, q: 3}? 7/153 Three letters picked without replacement from {m: 1, t: 1, o: 2, h: 6, v: 3}. What is prob of picking 1 o, 1 v, and 1 t? 3/143 Calculate prob of picking 4 c when four letters picked without replacement from {v: 15, c: 4}. 1/3876 Calculate prob of picking 3 v when three letters picked without replacement from ppvppdpvpdvp. 1/220 Four letters picked without replacement from jgjjnnysnjjjnjgs. What is prob of picking 2 n and 2 g? 3/910 Four letters picked without replacement from {x: 5, l: 1, g: 5, v: 4}. What is prob of picking 3 v and 1 x? 4/273 Calculate prob of picking 3 p when three letters picked without replacement from {p: 7}. 1 Three letters picked without replacement from {y: 2, b: 17}. What is prob of picking 3 b? 40/57 What is prob of picking 1 t and 1 w when two letters picked without replacement from {e: 2, t: 2, w: 1, p: 1}? 2/15 Three letters picked without replacement from {z: 2, t: 3, l: 2, o: 8, k: 4}. What is prob of picking 3 o? 56/969 What is prob of picking 1 m, 1 p, and 1 h when three letters picked without replacement from mhsmhsmhhhpmphhhphhm? 5/38 Four letters picked without replacement from {i: 2, t: 3}. Give prob of picking 2 t and 2 i. 3/5 Calculate prob of picking 1 y and 1 b when two letters picked without replacement from {h: 8, y: 3, b: 6}. 9/68 What is prob of picking 2 f and 1 r when three letters picked without replacement from {r: 1, f: 2, j: 9, b: 1}? 1/286 Calculate prob of picking 1 j and 1 w when two letters picked without replacement from fjjxtftwxfkwtf. 4/91 Two letters picked without replacement from tpffqdppqxq. What is prob of picking 2 p? 3/55 Calculate prob of picking 1 y and 1 u when two letters picked without replacement from ukkkykxyukyuyukyukg. 25/171 Three letters picked without replacement from {c: 2, q: 11, d: 1}. What is prob of picking 1 c, 1 q, and 1 d? 11/182 Calculate prob of picking 1 h and 2 f when three letters picked without replacement from fofoooooottofffthoh. 20/969 Three letters picked without replacement from sqqtttppptplttq. Give prob of picking 1 t, 1 s, and 1 p. 24/455 Calculate prob of picking 1 w, 1 q, and 1 b when three letters picked without replacement from {w: 4, q: 3, b: 6}. 36/143 What is prob of picking 2 k when two letters picked without replacement from ykkykykvyyk? 2/11 Two letters picked without replacement from {x: 6, g: 13}. What is prob of picking 2 x? 5/57 What is prob of picking 2 t and 1 k when three letters picked without replacement from {k: 1, t: 11}? 1/4 Two letters picked without replacement from ybybylyyylbbby. What is prob of picking 2 b? 10/91 Three letters picked without replacement from {r: 1, e: 1, h: 1, i: 1, u: 1}. What is prob of picking 3 u? 0 Four lette
{ "pile_set_name": "DM Mathematics" }
rest 100. -25900 What is 4860047.3 rounded to the nearest 1000000? 5000000 What is 167.4942962 rounded to the nearest 10? 170 Round 146.627211 to two dps. 146.63 What is 0.00070728295 rounded to 6 decimal places? 0.000707 Round 0.00050161456 to 7 dps. 0.0005016 Round -97.216997 to 1 decimal place. -97.2 Round -0.0000087102977 to 7 decimal places. -0.0000087 Round -0.001600770326 to 3 dps. -0.002 What is 0.00583509344 rounded to four decimal places? 0.0058 What is 38112861.7 rounded to the nearest one thousand? 38113000 What is -16434930.38 rounded to the nearest 100000? -16400000 Round 40.176463 to one decimal place. 40.2 Round 0.000022595203 to five dps. 0.00002 Round 0.0250233144 to 6 decimal places. 0.025023 What is 0.00156079507 rounded to three dps? 0.002 Round -0.0016429727 to 3 dps. -0.002 What is 0.00000029830128 rounded to seven decimal places? 0.0000003 What is -0.0081220732 rounded to 4 decimal places? -0.0081 Round -169.404769 to the nearest integer. -169 What is -58.6083434 rounded to zero dps? -59 What is 0.07404767424 rounded to 6 decimal places? 0.074048 What is 0.000071241425 rounded to six dps? 0.000071 What is 126425.33 rounded to the nearest ten thousand? 130000 What is 1.01842098 rounded to one decimal place? 1 What is -1393319.676 rounded to the nearest 100000? -1400000 Round 0.0563697741 to five decimal places. 0.05637 Round -0.0052633089 to 5 dps. -0.00526 What is 622467.2758 rounded to the nearest one hundred thousand? 600000 What is -0.0000038532595 rounded to seven dps? -0.0000039 Round 28.7616178 to the nearest integer. 29 What is -48932.46323 rounded to the nearest 1000? -49000 What is -530.885912 rounded to the nearest 10? -530 What is -1177783360 rounded to the nearest one million? -1178000000 What is 3.031120256 rounded to one decimal place? 3 What is 251699342 rounded to the nearest 100000? 251700000 Round 0.00696541322 to 3 dps. 0.007 What is -38227.1753 rounded to the nearest 10000? -40000 What is -263183474.8 rounded to the nearest one hundred thousand? -263200000 Round -0.000744127233 to 5 dps. -0.00074 Round -3.884133175 to 1 dp. -3.9 What is 2.0499733 rounded to the nearest integer? 2 What is 0.0153972752 rounded to five decimal places? 0.0154 Round 0.626365088 to 1 dp. 0.6 What is 392028604 rounded to the nearest 100000? 392000000 Round 0.140335458 to 2 dps. 0.14 Round 0.0000360801975 to seven decimal places. 0.0000361 Round -591181.831 to the nearest 100000. -600000 Round -0.000061421648 to 5 dps. -0.00006 Round 179731.13735 to the nearest 100. 179700 Round -0.295085592 to two decimal places. -0.3 What is 2543.80482 rounded to the nearest 100? 2500 What is -43553197.6 rounded to the nearest 1000? -43553000 Round -21.5125792 to the nearest integer. -22 What is 0.00323762883 rounded to 7 decimal places? 0.0032376 What is 7240.2617 rounded to the nearest ten thousand? 10000 Round 0.313945973 to three decimal places. 0.314 What is -0.0155913106 rounded to five dps? -0.01559 What is -3149042.988 rounded to the nearest 1000? -3149000 What is -0.456869634 rounded to two decimal places? -0.46 What is 69.3775303 rounded to 1 decimal place? 69.4 What is 191.8573851 rounded to 1 decimal place? 191.9 Round -2572.69711 to zero dps. -2573 Round 0.0002699615618 to seven dps. 0.00027 What is 0.003617248069 rounded to 3 decimal places? 0.004 Round 995818.655 to the nearest one hundred thousand. 1000000 What is -0.0058482938 rounded to 6 decimal places? -0.005848 What is 0.1428577021 rounded to four decimal places? 0.1429 Round -36081.9608 to the nearest one hundred. -36100 Round 0.344997793 to two dps. 0.34 Round 3013.901423 to one decimal place. 3013.9 What is 18971536.53 rounded to the nearest 10000? 18970000 Round -183.577601 to one dp. -183.6 What is -0.0192980614 rounded to four decimal places? -0.0193 Round -1811857735 to the nearest 1000000. -1812000000 Round 0.001344121445 to 6 decimal places. 0.001344 What is -75.826762 rounded to the nearest ten? -80 Round 130237.627 to the nearest 10000. 130000 Round -0.001846897081 to 5 decimal places. -0.00185 What is 2333.487601 rounded to the nearest 10? 2330 Round -0.00000089697796 to 7 decimal places. -0.0000009 What is -2846.74296 rounded to the nearest one thousand? -3000 Round 5413.01973 to the nearest 1000. 5000 Round -120.918058 to 2 decimal places. -120.92 Round -17879224 to the nearest one million. -18000000 Round 7.679218 to the nearest integer. 8 What is 21.3135141 rounded to two decimal places? 21.31 What is -332435933 rounded to the nearest 10000? -332440000 Round -0.00356187911 to seven dps. -0.0035619 Round -526.782323 to the nearest 100. -500 Round -0.0179050063 to 5 decimal places. -0.01791 Round 573686.6 to the nearest one million. 1000000 Round -83636.9 to the nearest 1000. -84000 What is -1605185.376 rounded to the nearest one hundred? -1605200 What is 0.04509414083 rounded to 2 dps? 0.05 Round -2047156.25 to the nearest one hundred. -2047200 Round 1998392015 to the nearest ten thousand. 1998390000 What is -148.06938 rounded to the nearest ten? -150 Round -592.07011 to the nearest ten. -590 Round 0.0002052737917 to seven dps. 0.0002053 What is 0.0088375176 rounded to 6 decimal places? 0.008838 What is 295301.414 rounded to the nearest 1000? 295000 What is -0.00913593747 rounded to five dps? -0.00914 Round -1.9672511 to 3 dps. -1.967 Round 55044411.8 to the nearest 1000000. 55000000 What is 420334.151 rounded to the nearest one thousand? 420000 What is -1215941.99 rounded to the nearest one thousand? -1216000 Round 150993.72 to the nearest 100000. 200000 What is -0.00032664676 rounded to six dps? -0.000327 What is -665874.523 rounded to the nearest 10000? -670000 What is 136.60962 rounded to the nearest 100? 100 Round -0.00003529872786 to five dps. -0.00004 What is 0.000271407742 rounded to six decimal places? 0.000271 What is 0.0145539208 rounded to three decimal places? 0.015 Round -0.168995637 to four decimal places. -0.169 Round -0.0368315656 to 3 dps. -0.037 Round -22.06761286 to one decimal place. -22.1 What is -967427.6459 rounded to the nearest 100000? -1000000 Round -21637455.48 to the nearest 1000. -21637000 What is 2350.72722 rounded to 1 decimal place? 2350.7 Round 532808.18 to the nearest one hundred thousand. 500000 What is -7384980910 rounded to the nearest one million? -7385000000 What is 144262.377 rounded to the nearest one hundred? 144300 Round 0.0594505812 to 6 decimal places. 0.059451 What is -0.00352929697 rounded to three decimal places? -0.004 What is 41784.17918 rounded to 0 dps? 41784 Round -45336.2 to the nearest 1000. -45000 What is 8022801.46 rounded to the nearest one thousand? 8023000 Round 0.1064472374 to three decimal places. 0.106 Round 3601.1255 to one decimal place. 3601.1 What is 7619.55364 rounded to the nearest 1000? 8000 Round -0.0000001216925 to 7 dps. -0.0000001 Round -0.0526866949 to 4 dps. -0.0527 What is -99.691661 rounded to the nearest ten? -100 What is -0.0000003774966 rounded to five dps? 0 Round 0.00001719736765 to 6 dps. 0.000017 What is 1.485982501 rounded to 1 decimal place? 1.5 Round 0.06277265249 to three decimal places. 0.063 Round -201.350798 to zero dps. -201 Round 0.00214795358 to seven decimal places. 0.002148 What is 6783.31996 rounded to the nearest 1000? 7000 Round -0.0004211794549 to 4 dps. -0.0004 Round -0.07710218043 to 6 decimal places. -0.077102 Round -445.479526 to 0 decimal places. -445 Round 0.1000982627 to four decimal places. 0.1001 Round -0.329122477 to 5 dps. -0.32912 What is 824260470.2 rounded to the nearest 1000000? 824000000 Round -10126817000 to the nearest one million. -10127000000 What is -22.30895698 rounded to the nearest 10? -20 Round 4468951.2 to the nearest 1000. 4469000 What is -1919888.48 rounded to the nearest 10000? -1920000 What is -70328070.5 rounded to the nearest 10000? -70330000 Round -0.0007158136 to 3 decimal places. -0.001 Round -90.92074001 to the nearest 10. -90 What is -341375.7 rounded to the nearest 1000000? 0 Round 276090.4924 to the nearest one thousand. 276000 What is 0.086575194 rounded to 6 dps? 0.086575 Round 1.93051616 to 4 dps. 1.9305 Round 0.00000113085921 to 7 decimal places. 0.0000011 What is -138539940 rounded to the nearest one hundr
{ "pile_set_name": "DM Mathematics" }
*f + 21 = -4*o for f. 1 Solve 0 = -4*b - 2*d + 14, 0 = 5*b + d - 24 + 8 for b. 3 Solve -22 = -z + 5*t, 3*t - 4 = -4*z - 8 for z. 2 Solve 3*x - 1 = -r, -4*r + 21 = 2*r + 3*x for r. 4 Solve 5*a = -3*g - g - 15, -2*g = -4*a + 14 for a. 1 Solve 2*y = 4*h - 2, y - 2 = -5*h + 3*y for h. 0 Solve -20 = -5*o, 4*o + 1 = -j + 13 for j. -4 Solve -184*g + 180*g + 4*x = -20, 4*x - 8 = 0 for g. 7 Solve 0*b + 3*d = 4*b - 7, b = d + 3 for b. -2 Solve -5*t - 2*a + 6 + 15 = 0, 8 = 2*t + a for t. 5 Solve w - 2*p = 9, -3*p + 14 = 3*w + 5 for w. 5 Solve -8*j = -2*z - 11 - 35, 0 = -2*j - 5*z - 5 for j. 5 Solve 8*c = h + 3*c - 19, -3*h + 15 = -c for h. 4 Solve 0 = 4*k + 2*r - 16, -5*k + r + 22 = -k for k. 5 Solve 4*r - 20 = 4*b, b - 4*r = -4*b - 24 for b. -4 Solve 5*o + 707 = -2*h + 681, -5*o = h + 23 for h. -3 Solve 10*b + 5*r + 23 = 6*b, 4*b + 4*r = -20 for b. -2 Solve 0 = -v + 77*b - 76*b + 1, 3*b + 9 = v for v. -3 Solve -4*z - 3*o - 61 + 36 = 0, -2*z - 14 = 2*o for z. -4 Solve 5*x = -2*h - 2, 0*h - 4*h - 4 = -5*x for h. -1 Solve -2*j + j = -2*q - 3, -j - 5*q = -3 for j. 3 Solve 15 = -2*c + 3*q, 4*q + 59 - 79 = 3*c for c. 0 Solve -n - 2*n = 0, 0 = -3*m - 5*n - 15 for m. -5 Solve -p + 4*p + 14 = 4*x, -5*x = -3*p - 16 for x. 2 Solve 4*x + 12 = -2*a, -5*a - 4*x = -a + 20 for a. -4 Solve 4*c = b - 4*b + 4, 3*c = 5*b - 26 for b. 4 Solve 5*b + 20 = -3*d, 4*b + 0*d + 16 = 5*d for b. -4 Solve -26*j = -2*a - 23*j + 23, -2*j = -a + 14 for a. 4 Solve 7*g - 31 = 2*u, 3*g + 8*u - 4*u = 23 for g. 5 Solve 2*z + 3 = -2*v + 11, 0 = -3*v + 6 for z. 2 Solve -2*z - 19 = 5*w + 2, -5*w - 17 = 4*z for z. 2 Solve -14*c + 3*k = -13*c + 6, 0 = 3*c - k - 6 for c. 3 Solve 0 = 4*n + 3*z - 4, -4*n - 4*z = 3 - 7 for n. 1 Solve 0 = 4*s - c - 28, 106*s - 7 = 105*s - 2*c for s. 7 Solve -l - 4*f = 13, -2*l - 73 + 71 = 2*f for l. 3 Solve -5*g = 5*y + 15, y = 51*g - 53*g - 1 for g. 2 Solve p + 4*p - 27 = -4*w, -4*p = -2*w - 6 for w. 3 Solve j + 3*j + 40 = -4*l, l - 2*j = 5 for l. -5 Solve 5*c + 43 = -s + 63, 8 = 2*c - s for c. 4 Solve -2*x - 812*h + 816*h = -10, -5*h - 13 = -2*x for x. -1 Solve 2*g - 18 = 2*h + 3*h, 3*g = 2*h + 5 for g. -1 Solve 3*r + 77*d = 72*d + 24, 2*r - 2*d = 0 for r. 3 Solve 6*q = 3*m + q - 28, -2*q = 2*m - 8 for m. 6 Solve 0 = 3*d - 3*c - 6, -4 = -4*d + 2*c for d. 0 Solve -3 = -3*s + i, 2*s + 1 = 3*s + 4*i for s. 1 Solve 0 = 5*i - 3*v + 11, -2*i + 5*v = 2*i + 1 for i. -4 Solve -13*k = -2*m - 36, 0 = -3*k - 2*m + 1 - 5 for k. 2 Solve 5*b = z - 6*z + 15, 5*b - 15 = 2*z for b. 3 Solve 4*p + 19 = -o, -3*o + 44 = 53 for p. -4 Solve 5*q - 4*v - 26 = 0, -8 = -q + v - 2 for q. 2 Solve -4*h = -9*h + 2*n - 14, -n - 8 = 5*h for h. -2 Solve -5*y = -5, -3*c + 3*y = 7*y - 13 for c. 3 Solve 11 = 5*r + 3*x, 2*x + 2*x - 8 = 0 for r. 1 Solve 2*g + 26 = -4*p, p + 2*g + 14 = -0 for p. -4 Solve 18 = -4*x + 4*k - 5*k, -6 = -3*k for x. -5 Solve -21*x = -4*a - 17*x + 32, 4*x - 8 = -4*a for a. 5 Solve 3*v + 14 = -4*h - 5, -h = 3*v + 7 for h. -4 Solve 5*s = -i - 10 + 35, 10 = -2*i + 2*s for i. 0 Solve 6 = 2*f - 3*h, 3*h - 2*h = -4*f + 12 for f. 3 Solve -2*g = 3*n - 6 + 14, n = 5*g + 20 for g. -4 Solve 3*m + r - 2 = 0, m + 2*r + 10 = 4 for m. 2 Solve -3*h = -2*a + 5*a - 15, 5*a - 4*h = 16 for a. 4 Solve 4*n = -4*u - 24 - 8, -4*u = 5*n + 37 for n. -5 Solve 9*b - 9 = 3*z + 4*b, -3*b = -9 for z. 2 Solve -3*q - 32*i = -31*i - 11, -q = 4*i - 11 for q. 3 Solve 0 = -y - 4*w + 17, 0 = -7*y + 3*y - 3*w + 3 for y. -3 Solve 2*l = -4*c + 12, -l = 3*c - 37 + 30 for l. 4 Solve -2*i = 0, 1 = 2*s - 3*i + 3 for s. -1 Solve -h - d = -6*h - 15, 3*d = -15 for h. -4 Solve i - 6 = -3*u, -8*u + 8 = 4*i - 4*u for i. 0 Solve -16 + 19 = -2*v - 3*a, 22 = 2*v - 2*a for v. 6 Solve -39 + 19 = p - 3*h, -25 = -5*h for p. -5 Solve 21*x - 23*x - 10 = -v, -3*x = -3*v + 15 for v. 0 Solve 0 = 3*z - 3, 9*r + 4*z - 16 = 12*r for r. -4 Solve 194*k + 5 = 199*k, 5*k - 11 = -2*x for x. 3 Solve 0 = 2*l - q - 8, -5*l + 5 = -6*q + 11*q for l. 3 Solve 5*c = -3*y + 6, -4*y - 3*c = -y - 6 for y. 2 Solve -11*v + 9*v - 5 = 5*m, 2*v - 4 = -2*m for v. 5 Solve -20 = 5*d, -45*w + 44*w = -d - 9 for w. 5 Solve v + 2*v + x = -4, 0 = -x + 5 for v. -3 Solve 2*t + 7*n + 2 = 6*n, -t - 1 = -2*n for t. -1 Solve -4*l = -p + 4, p + 0 = 5*l + 4 for l. 0 Solve -12 = 4*c + 8*x, 0*c = -3*c - 5*x - 6 for c. 3 Solve i - 24 = 5*d, 58*i - 63*i + 12 = 2*d for i. 4 Solve -y = -2*y - 5*b - 20, 5*y + 4*b = -37 for y. -5 Solve 5 = w - 3*b, w - 20 = -3*w + 5*b for w. 5 Solve -5*k = 5*c, 0 = 7*k - 5*k - 2*c + 16 for k. -4 Solve 0 = -6*n + 4*o - 26, 5*n - 3*o + 4 = -18 for n. -5 Solve -5*q - 3*n = -41, 3*q = -0*q - 2*n + 26 for q. 4 Solve j - 2*a - 25 = -23, 26 = -5*j - 2*a for j. -4 Solve -f + 2 = 2*q + 5, 2*f = 2*q + 12 for q. -3 Solve -5*p + 3 = -2*d, -103*p + 98*p - 4*d = 21 for p. -1 Solve 38 - 14 = 4*l + 4*d, -2*l = d - 8 for l. 2 Solve 0 = -4*s + 12, -q - 9*s + 12 = -4*s for q. -3 Solve 4*b = 20, 0 = 2*r - 0*b + 5*b - 19 for r. -3 Solve 0 = -3*x - 12, 2*x + 28 = a - 5*a for a. -5 Solve 3*n - 5*n = -3*d, 0 = 3*d + 5*n for d. 0 Solve -60*p = -64*p - 2*w - 26, 2*p = -2*w - 16 for p. -5 Solve -6*u + 1 = -5*w - 8*u, 3*w - 5*u = -13 for w. -1 Solve 4*a - 2*u - 3*u + 17 = 0, a = 3*u - 13 for a. 2 Solve -3*z - 4 = -2*n - 10, -4*n - 12 = -4*z for z. 0 Solve -4*o + 40 = 2*h + 30, -2*o = 5*h - 17 for h. 3 Solve 5*a = 4*x - 18, 2*a - 7*a + 2*x = 14 for a. -2 Solve u - 2*p = -1, 11*u - p = 6*u + 4 for u. 1 Solve -3*q + 2*q - j = -9, -8 = -2*j for q. 5 Solve -4*i - 1 = -p, 5*p + 13*i - 5 = 10*i for p. 1 Solve 0 = -4*k - 20, 14 = -10*r + 12*r - 4*k for r. -3 Solve 6*x = 2*x + 3*w + 2, -5*x + 1 = -3*w for x. -1 Solve -21 + 11 = -2*w + 4*l, -4*w = -4*l - 8 for w. -1 Solve x + 3 = 3*r, 5*r + 10*x = 10 - 5 for r. 1 Solve -7*q + 33 = 5*w - 3*q, 3*w = 3*q + 9 for w. 5 Solve 2*i + 7 = -3*m, -3*i - 163 = 5*m - 152 for i. -2 Solve -16*s - 3*l = -15*s - 1, 0 = -5*s - 4*l - 17 for s. -5 Solve -2*m - 8 = 2, 11 = 2*j + m for j. 8 Solve 0 = -4*g + 5*x - 27, 7*x = 8*x - 3 for g. -3 Solve 91*z - 13 = 3*o + 93*z, 5*o - 3*z = -28 for o. -5 Solve -l - 5 = -3*c + 2*c, 11 = -c + 5*l for c. 9 Solve 0 = -x - 4*d + 2 + 7, -4*d = 4*x for x. -3 Solve 2*v = -0*c - 5*c - 15, -5*v + 45 = -4*c for c. -5 Solve 12 = w + 3*g, 4*g - 8 = -5*w + 19 for w. 3 Solve -19*z + 17*z + 5*l = -23, 0 = -z + 3*l + 13 for z. 4 Solve 9*d = 5*d - q + 20, 0 = 4*d - 4*q - 20 for d. 5 Solve -4*y = -3*g - 4, 0 = -0*y + 3*y + 4*g - 3 for y. 1 Solve -2*v + 2*b = 2*v - 14, -2*b = 10 for v. 1 Solve 8*d - 3*d = 2*c - 6, 0 = 3*d for c. 3 Solve 5*y - 34 = -3*q, 2*y - 14 = -2*q + 2 for q. 3 Solve -o - 15*p = -20*p + 21, 15 = 3*p for o. 4 Solve 15*y - 16*y - 11 = -3*f, 5*f + 4*y = 7 for f. 3 Solve 2*f = -3*t + 15, 0 = -15*t + 18*t - f - 15 for t. 5 Solve h + 2*j - 8 = 2*h, 0 = 3*h - 4*j + 18 for h. -2 Solve 0 = -3*j - 3*f - 6, -2*f - 25 = 26*j - 31*j for j. 3 Solve -5*o + 2*h = 7*h, 5*h + 8 = -o for o. 2 Solve 4*j + 4*f - 8 = 0, 23*j + f = 25*j - 10 for j. 4 Solve 0 = -3*v + 5*h - 5, 5*v - 13 - 16 = -h for v. 5 Solve -4*z - 5*f + 7 = 0, -7*z + 4*f - 14 = -6*z for z. -2 Solve -88*o = 5*w - 85*o + 20, 0 = -5*o for w. -4 Solve 2*v - 22 = 4*n, -8*n + 7*n = -5*v + 10 for v. 1 Solve 23*u = 3*m + 28*u + 11, 3*m - u + 5 = 0 for m. -2 Solve -4*r - 7 = -2*u + 5, -u - 9 = 3*r for u. 0 Solve -5*p - 3 = 3*i + 5, p - 12 = -4*i for p. -4 Solve 3*a = -4*j + 10 + 13, 5*j = 5*a - 15 for j. 2 Solve f + 2*q + 2*q + 21 = 0, -f - 16 = 3*q for f. -1 Solve -2*d = -5*s + 2, d + 4*s = -5 + 4 for d. -1 Solve -4*p - 2 = -3*g, -24*p + 7 = 3*g - 23*p for g. 2 Solve 0 = -3*n + 3*v - 3, 0 = 4*n - 3*v for n. 3 Solve -6*i + j = -7*i - 1, 1 = 3*i - j for i. 0 Solve -2*j = 4, 0 = -166*s + 164*s - 4*j - 18 for s. -5 Solve 3*g + 24*n - 19*n = 6, 5*g + 3*n - 10 = 0 for g. 2 Solve a + 2*l + 2 = 5, -3*a + 17 = -2*l for a. 5 Solve 5*r - 35 = -3*j, -2*r + 5 = -3*j + 3*r for j. 5 Solve 0 = 5*b - 5*n - 15, 2*n + 0 + 2 = 0 for b. 2 Solve -10*w + 5*w - 8 = -4*u, w = 2*u + 2 for w. -4 Solve 7*l = -4*j + 5*l - 4, 4*j = -3*l - 4 for j. -1 Solve 5*y + 1 = -7*m + 4*m, -2*y - 13 = -3*m for m. 3 Solve 2*f + 6 = 4, -10 = -2*r + 2*f for r. 4 Solve f - 3*z + z = 0, -2*f = -z - 6 for f. 4 Solve 4*h + 3*w - 5 = 0, 0*w + 1 = -w for h. 2 Solve -3*b + 5*b - 12 = -5*x, 8 = 2*x for b. -4 Solve 0 = 5*k - 5*l + 2
{ "pile_set_name": "DM Mathematics" }
is the greatest common divisor of 28138 and 88? 22 Calculate the highest common divisor of 1920 and 98160. 240 Calculate the greatest common factor of 89022 and 555. 111 What is the highest common factor of 273 and 31486? 91 Calculate the highest common divisor of 32752 and 132848. 368 What is the greatest common factor of 214338 and 54? 6 What is the greatest common factor of 44002 and 98? 98 Calculate the highest common divisor of 3090 and 1556330. 1030 What is the greatest common factor of 10442 and 163894? 454 What is the greatest common divisor of 4139460 and 39? 39 Calculate the greatest common divisor of 1514190 and 2550. 510 What is the greatest common divisor of 16 and 223472? 16 What is the highest common factor of 27 and 3879? 9 Calculate the highest common factor of 544 and 45458. 34 What is the greatest common divisor of 41 and 6735931? 41 Calculate the greatest common factor of 57 and 362577. 57 What is the greatest common factor of 181 and 134483? 181 What is the greatest common factor of 7870 and 734271? 787 Calculate the greatest common factor of 26 and 1781. 13 What is the highest common factor of 504471 and 66? 33 What is the greatest common factor of 68880 and 16? 16 Calculate the greatest common divisor of 164 and 136. 4 Calculate the greatest common divisor of 295280 and 3. 1 Calculate the highest common divisor of 4584 and 552. 24 What is the greatest common factor of 9731106 and 153? 153 What is the highest common factor of 1500 and 1740? 60 Calculate the highest common divisor of 29 and 34249. 29 What is the greatest common divisor of 219089 and 1976? 247 What is the greatest common divisor of 780 and 20540? 260 What is the greatest common divisor of 69215 and 33655? 635 Calculate the highest common factor of 46008 and 83496. 1704 What is the highest common factor of 45 and 308205? 45 Calculate the highest common factor of 806 and 3279211. 403 What is the greatest common factor of 538 and 271421? 269 Calculate the highest common factor of 79978 and 32. 2 What is the greatest common factor of 312 and 29576? 8 What is the highest common divisor of 24939 and 890469? 1467 Calculate the greatest common factor of 4407 and 72885. 339 Calculate the highest common divisor of 4632000 and 192. 192 What is the greatest common factor of 4438 and 98270? 634 Calculate the highest common divisor of 61315 and 40. 5 Calculate the greatest common factor of 95376 and 96. 48 Calculate the highest common divisor of 21790 and 110. 10 What is the highest common divisor of 18052389 and 1161? 1161 What is the greatest common divisor of 304 and 374464? 16 What is the greatest common divisor of 527 and 2666? 31 Calculate the greatest common divisor of 46326 and 280. 14 What is the highest common factor of 206205 and 466? 233 What is the greatest common divisor of 14 and 304838? 2 Calculate the greatest common divisor of 42175 and 175. 175 Calculate the highest common divisor of 315 and 24276. 21 Calculate the highest common divisor of 54 and 1322478. 18 Calculate the highest common factor of 67824 and 1656. 72 What is the greatest common factor of 157896 and 476? 68 Calculate the highest common divisor of 8 and 911736. 8 Calculate the greatest common factor of 916 and 650131. 229 What is the greatest common factor of 11651849 and 11? 11 Calculate the greatest common divisor of 10496 and 41. 41 What is the highest common factor of 772 and 50373? 193 Calculate the highest common factor of 3315 and 4845. 255 What is the greatest common divisor of 21056 and 136? 8 Calculate the greatest common factor of 36 and 72126. 18 Calculate the highest common factor of 90564 and 12. 12 What is the highest common divisor of 2250 and 1935? 45 What is the greatest common divisor of 75038 and 136? 34 Calculate the highest common factor of 115 and 185. 5 Calculate the highest common factor of 2044 and 105704. 292 Calculate the greatest common divisor of 21209 and 2032. 127 What is the highest common factor of 156 and 66468? 12 What is the highest common factor of 1265 and 396? 11 What is the greatest common factor of 5673 and 3679886? 1891 Calculate the highest common factor of 1287 and 14652. 99 Calculate the highest common divisor of 602 and 9296. 14 What is the greatest common divisor of 6545 and 2329? 17 Calculate the greatest common divisor of 733 and 323986. 733 What is the greatest common factor of 180 and 123570? 90 Calculate the greatest common factor of 11440 and 3770. 130 Calculate the highest common factor of 198 and 874863. 99 What is the greatest common divisor of 184 and 1055700? 92 What is the highest common divisor of 28 and 193606? 14 Calculate the highest common divisor of 414 and 2206206. 414 What is the highest common factor of 12 and 3969? 3 Calculate the greatest common divisor of 37376 and 657. 73 Calculate the highest common factor of 61241 and 2397. 47 What is the greatest common factor of 85 and 698054? 17 Calculate the greatest common factor of 24 and 907832. 8 What is the highest common factor of 41344 and 476? 68 What is the highest common divisor of 695 and 104389? 139 What is the greatest common factor of 56 and 1952076? 28 What is the highest common divisor of 2219 and 36? 1 Calculate the greatest common factor of 905503 and 908. 227 Calculate the highest common divisor of 45912 and 72. 24 What is the greatest common divisor of 5446 and 1792? 14 Calculate the greatest common divisor of 1587 and 102626. 529 What is the highest common divisor of 771835 and 1015? 145 Calculate the greatest common divisor of 421429 and 1314. 73 What is the greatest common divisor of 267 and 945? 3 Calculate the greatest common divisor of 127542 and 696. 174 What is the greatest common divisor of 266 and 1134? 14 Calculate the highest common factor of 2 and 91666. 2 Calculate the highest common factor of 8401 and 225201. 271 Calculate the highest common divisor of 4365844 and 492. 164 What is the highest common factor of 342 and 178030? 38 Calculate the highest common divisor of 461535 and 30. 15 Calculate the highest common divisor of 15 and 38916. 3 Calculate the greatest common divisor of 335130 and 5. 5 Calculate the highest common divisor of 1702487 and 412. 103 What is the highest common divisor of 12 and 7070556? 12 What is the greatest common divisor of 7929667 and 17? 17 What is the greatest common factor of 77 and 156233? 77 What is the highest common factor of 2936 and 32? 8 What is the greatest common divisor of 2308 and 1311521? 577 What is the greatest common divisor of 72675 and 342? 171 What is the highest common factor of 1369 and 57387? 37 What is the highest common factor of 89 and 50018? 89 Calculate the highest common divisor of 4110 and 330. 30 Calculate the greatest common divisor of 8354242 and 884. 442 What is the greatest common factor of 331412 and 87? 29 Calculate the greatest common divisor of 222110 and 910. 70 What is the highest common factor of 372109 and 226? 113 What is the greatest common factor of 160 and 133? 1 Calculate the highest common divisor of 10 and 933915. 5 What is the highest common divisor of 1290 and 3053? 43 Calculate the highest common factor of 63 and 354669. 21 What is the greatest common factor of 444 and 39220? 148 What is the greatest common divisor of 13201 and 559? 43 What is the greatest common factor of 6612 and 957? 87 Calculate the highest common factor of 804 and 243813. 201 What is the highest common factor of 2390 and 400? 10 What is the greatest common divisor of 395 and 22199? 79 What is the greatest common factor of 724900 and 100? 100 Calculate the greatest common divisor of 896 and 392. 56 What is the greatest common divisor of 91110 and 180? 30 Calculate the greatest common factor of 124 and 350827. 31 Calculate the greatest common divisor of 26596 and 2318. 122 What is the greatest common factor of 315 and 12495? 105 Calculate the greatest common divisor of 3484 and 18224. 268 What is the highest common divisor of 117880 and 168? 56 Calculate the greatest common factor of 18359 and 935. 11 Calculate the greatest common factor of 382 and 69142. 382 What is the greatest common factor of 22812 and 2028? 12 Calculate the highest common factor of 203179 and 4084. 1021 What is the hi
{ "pile_set_name": "DM Mathematics" }
se -10*r + o = r. What is the units digit of r? 4 Let a(b) = b**3 + 7*b**2 + 7*b + 3. Let l be a(-6). Let y(p) = -p - 1. Let f(u) = 16*u - 12. Let v(c) = -f(c) + 4*y(c). What is the units digit of v(l)? 8 Let c(k) = k**3 - 11*k. Let r be c(-4). Let t(o) = -5*o + 93. What is the units digit of t(r)? 3 Suppose -5*u - 273 = -8*u. Suppose -3*t + u = o - t, 0 = o - 5*t - 91. What is the tens digit of o? 9 What is the units digit of 28*127*(-4 - -5)? 6 Suppose -187794 + 1164949 + 345593 = 116*t. What is the thousands digit of t? 1 Let h(q) = 3*q + 60. Let s be 66/10 + ((-48)/(-20) - 3). What is the tens digit of h(s)? 7 Let j be (4 - 12/5) + 4/10. Let k be 4/j - (-37 - (2 - 0)). Let i = -23 + k. What is the units digit of i? 8 Suppose 16*p - 75725 - 50002 = -5*p. What is the tens digit of p? 8 Let s = 25013 + -11713. What is the hundreds digit of s? 3 Suppose -d - 5*m - 1 = -3*d, -2*d - 3*m + 41 = 0. Suppose -d*v + 2558 = -1732. What is the hundreds digit of v? 3 Let u(x) = 112*x**2 - 8*x - 7. Suppose 2*y + 5 = 2*n - 9, 4*n - 12 = -4*y. What is the units digit of u(y)? 7 What is the units digit of (-443688)/(-19) + (-4 - -9)? 7 Let m = 35 - 30. Suppose 0 = 3*z - 3*v - 3, 4*v - 23 = -m*z + 3*v. Suppose 4*n = z*t - 464, 449 = -0*t + 4*t + n. What is the tens digit of t? 1 Let p(l) = 3*l**2 - 6*l + 5. Let x be p(1). Suppose -f - 197 = -n, x*f + 12 = -f. What is the units digit of n? 3 Let r = -32 + 46. What is the tens digit of (-6)/r - (-9420)/28? 3 Suppose 4*t + 9 = t, 0 = -2*l - 4*t - 66. Let z = l + 368. What is the units digit of z? 1 Let h = 54768 + -32682. What is the thousands digit of h? 2 Suppose -8 = v + 5*j - 10*j, 0 = 4*v + 5*j + 32. What is the units digit of (-39)/52 + (-950)/v? 8 Suppose -21*o = -11*o + 7*o - 48127. What is the hundreds digit of o? 8 Suppose 0 = -y + 5*h + 15, -12 = -6*y + 4*y + 4*h. Suppose -17*s + 21*s - 1208 = y. What is the tens digit of s? 0 Let t = 2187 + -1327. What is the hundreds digit of t? 8 Suppose 11*i - 42 + 9 = 0. Let v be (-6712)/28 - (-4)/(-14). What is the tens digit of i/((-245)/v + -1)? 4 Suppose 3*i + 3*r - 57636 = 0, 76*i - 71*i - 96004 = 3*r. What is the units digit of i? 5 Let c(b) = -2*b**3 + 6*b**2 + 7*b. Let n be c(-2). Suppose 0 = -3*o + 3*w - 9, -n = 3*o + w + 3. What is the tens digit of 1*(-202)/o + 2/(-8)? 2 Suppose -14*y = 25*y - 128583. Suppose -c - 4*c - 2464 = -3*b, -y = -4*b - 5*c. What is the units digit of b? 3 Let i be (((-2)/3)/(-1))/((-10)/15855). What is the units digit of -6*3*i/42? 3 Let s(w) = w**2 + 2*w. Let c be 3*(-1 + (-16)/(-12)). Let d be s(c). Suppose -u + 39 + 18 = 2*j, -d*j + 2*u + 75 = 0. What is the tens digit of j? 2 Suppose 41440 = -1766*g + 1773*g. What is the units digit of g? 0 Suppose -103 = -5*u + 52. Let a be (6 - (-104)/(-16))/((-1)/(-14)). Let q = u + a. What is the tens digit of q? 2 Suppose -21251 = -13*f - 6132. What is the hundreds digit of f? 1 Let o = 39825 + -31229. What is the tens digit of o? 9 What is the thousands digit of (-16 + 10704/(-32))*(2 + -76)? 5 Suppose 5*t = -4*l + 22317, -5*t - 312*l + 310*l = -22311. What is the hundreds digit of t? 4 Suppose 3*a - 144435 = -6*y, -54*y = -59*y - 3*a + 120358. What is the hundreds digit of y? 0 Let q(h) = 41*h**2 + 6*h + 1. Let b be q(-4). Suppose u = -5*r + b, 0 = 4*u - 5*r - 2423 - 234. Suppose 0 = 9*y - 2*y - u. What is the tens digit of y? 9 Let r(s) = 78*s**2 + 14*s + 4. Let z be r(6). Let o = -1722 + z. What is the thousands digit of o? 1 Let p = 160 - 332. Let c be (p/6)/((-6)/(-81)). Let q = c - -673. What is the tens digit of q? 8 Let f = 55 + -51. Suppose -x + f*x - 465 = 0. Suppose x - 39 = 4*c. What is the units digit of c? 9 Let l be (20/(-20))/((-1)/2). Suppose 3*d + 2*d - 2*r - 28 = 0, -3*d - l*r = -4. What is the tens digit of d*1*(-830)/(-40)? 8 Let f be 6/7*(-15 + 8). Let j be (-1 + 1 - f - 3) + -3. Suppose -2*w + 176 + 122 = j. What is the hundreds digit of w? 1 Let o(h) = 494*h - 4283. What is the units digit of o(19)? 3 Let n(z) = 31 + 115 - 1546*z + 1554*z. What is the units digit of n(-7)? 0 Let y = -120 + 722. Let n = 1035 - y. What is the tens digit of n? 3 Let q(l) = -l**2 - 8*l + 17. Let n be q(-9). Suppose -n*r + r = -42. Suppose 7*v - 92 = r*v. What is the units digit of v? 2 What is the hundreds digit of 7/84 - (-1 + (-1572690)/72)? 8 Let k(r) = 3791*r - 657. What is the units digit of k(5)? 8 Suppose 14*d + 154*d + 830672 = 2775608. What is the hundreds digit of d? 5 Suppose 0 = 39*v - 11*v - 56. What is the tens digit of (v/2 + -3)*-41? 8 Let c(z) = -z**3 + 11*z**2 - 3*z + 4. Suppose 5*q = -2*j + 4*q + 31, -3*q + 48 = 3*j. Let y be (54/15)/(6/j). What is the units digit of c(y)? 9 What is the hundreds digit of -10 + 936/99 - (-4087)/11? 3 Suppose 17*f - 69022 - 53012 = 2644. What is the units digit of f? 4 Let k(z) = -133*z**3 - z**2 + 4*z + 5. Let b(s) = 15*s + 22. Let u be b(7). Let m = u + -128. What is the tens digit of k(m)? 3 Let n = 15 - 11. Let w(a) = -73*a + 72. Let v be w(1). What is the tens digit of v + 62 + n*(-4)/(-16)? 6 Let m(d) be the second derivative of d**5/4 + d**4/6 + 2*d**3/3 - 2*d**2 - 8*d. Let s be m(4). Suppose 3*x + x - s = 0. What is the tens digit of x? 9 Let u = 70 - 6. Suppose u + 15 = l + 5*h, -2*l = -2*h - 146. What is the units digit of l? 4 Let o(s) = -s**3 - 20*s**2 - 25*s + 6. Let m be o(-19). Let f = m - -85. Suppose f = 2*w + 3*w. What is the units digit of w? 1 Suppose -5*v = 7*v - 77088. What is the tens digit of v? 2 Suppose 28 = 2*z - 5*i + 75, -z - i = 20. What is the tens digit of (-3597)/z - 2/7? 7 Let j be -44*(7/(-2) - (-6)/3). Suppose -72*w = -j*w - 2700. What is the units digit of w? 0 Let j(b) = 3*b**2 + 3*b + 8. Let u = 12 + -17. What is the tens digit of j(u)? 6 Let m be 23851/207 + (-4)/18. Let r = m + -272. Let i = r - -269. What is the units digit of i? 2 What is the hundreds digit of (-1)/(36/8)*(-51)/17*29814? 8 Let w = 71776 + 38563. Suppose w = 53*u + 38948. What is the units digit of u? 7 Let c(i) = 2*i - 20. Let v be c(11). Let k be 4 + -6 - (-2 - (-1 - v)). What is the units digit of 5*(-11)/k*9/15? 1 Suppose 192 = 9*p + 21. Let y(s) = 10*s - 2. What is the tens digit of y(p)? 8 Let y(i) = -i**2 - 12*i - 1. Let p = 140 - 36. Let w be 18/(-81) + p/(-18). What is the units digit of y(w)? 5 Suppose j + 4*j = 365. Let z(u) = -2*u**2 - 75*u**3 + j*u**3 + 11 + 7*u - 4*u**2. What is the units digit of z(-5)? 6 What is the units digit of (707660/28 - 6) + 69/161? 8 Let h = -17908 - -29954. What is the thousands digit of h? 2 Let t(p) = -8*p + 14. Let s be t(10). Let u = -31 - s. What is the units digit of 12/15 + 707/u? 1 Let v be (-15)/6*224/(-10). Suppose -v*x + 54*x + 554 = 0. What is the tens digit of x? 7 Let i be ((-6)/(-15))/(15/150). Suppose 0 = -w + g + 775, -5*w + 0*g = -i*g - 3874. What is the tens digit of w? 7 Let y(j) be the third derivative of 1/6*j**4 + 7*j**2 - 1/3*j**3 + 0 + 1/4*j**5 + 0*j. What is the tens digit of y(-2)? 5 Suppose 22*v - 19*v = -294. Let t = v + 138. Let r = t - 21. What is the units digit of r? 9 Let t = 20481 - -29198. What is the thousands digit of t? 9 Suppose -7*w + 85 = -2*g - 10*w, 4*g + 150 = -2*w. Let c = -105 - g. What is the units digit of (-4)/(-14) - 5/(c/234)? 7 Let b(z) = 843*z + 1839. What is the thousands digit of b(12)? 1 Suppose 8 = -27*z + 26*z. What is the units digit of 4 + 9/(18/z) - -28? 8 Let z(h) = 319*h - 8989. What is the hundreds digit of z(112)? 7 Suppose 0 = -7*x - 316 + 330. Let z(q) = 239*q - 6. What is the tens digit of z(x)? 7 Suppose 0 = 5*w + 3*w - 16. Suppose 1 + 7 = 4*l. What is the hundreds digit of l/(-2*w/(-202))? 1 Let s = 1409 + -414. Let r = 1740 - s. What is the hundreds digit of r? 7 Let a be -3 + (12 - 6) - (5 - -1). Let b(o) be the second derivative of -o**5/20 + o**3/6 + o**2 - o. What is the units digit of b(a)? 6 Let h = -384 + 99. Let a = h + 480. Suppose 501 = 5*p + t, -2*t = -4*p + 217 + a. What is the tens digit of p? 0 Let k = -42 + 10. What is the tens digit of ((-8)/k)/(2 + 231/(-116))? 2 Let h(m) = -2063*m**2 + 2064*m**2 - 9 + 9*m - 13 + 0. Let v be 34/6 - (-2)/(-3). What is the tens digit of h(v)? 4 Suppose -7*r - 17*r + 72 = 0. Suppose -5*o + 23*q + 4497 = 27*q, 0 = o + r*q - 895. What is the hundreds digit of
{ "pile_set_name": "DM Mathematics" }
by 13. 2 What is the remainder when 28 is divided by 16? 12 Calculate the remainder when 804 is divided by 374. 56 What is the remainder when 465 is divided by 40? 25 What is the remainder when 336 is divided by 28? 0 What is the remainder when 322 is divided by 81? 79 What is the remainder when 4421 is divided by 1105? 1 Calculate the remainder when 4388 is divided by 21. 20 What is the remainder when 90 is divided by 4? 2 What is the remainder when 941 is divided by 157? 156 What is the remainder when 204 is divided by 59? 27 Calculate the remainder when 724 is divided by 196. 136 What is the remainder when 15261 is divided by 13? 12 What is the remainder when 2461 is divided by 129? 10 What is the remainder when 38 is divided by 19? 0 Calculate the remainder when 5 is divided by 4. 1 Calculate the remainder when 594 is divided by 13. 9 Calculate the remainder when 959 is divided by 3. 2 What is the remainder when 1372 is divided by 366? 274 Calculate the remainder when 296 is divided by 280. 16 Calculate the remainder when 6325 is divided by 171. 169 Calculate the remainder when 133 is divided by 30. 13 What is the remainder when 257 is divided by 49? 12 Calculate the remainder when 175 is divided by 52. 19 What is the remainder when 83 is divided by 39? 5 What is the remainder when 5 is divided by 5? 0 Calculate the remainder when 1117 is divided by 184. 13 What is the remainder when 100 is divided by 8? 4 Calculate the remainder when 517 is divided by 87. 82 What is the remainder when 152 is divided by 96? 56 What is the remainder when 374 is divided by 79? 58 What is the remainder when 249 is divided by 10? 9 Calculate the remainder when 701 is divided by 76. 17 What is the remainder when 41 is divided by 24? 17 What is the remainder when 180 is divided by 38? 28 Calculate the remainder when 2374 is divided by 108. 106 Calculate the remainder when 145 is divided by 80. 65 Calculate the remainder when 2566 is divided by 75. 16 What is the remainder when 805 is divided by 307? 191 What is the remainder when 189 is divided by 19? 18 Calculate the remainder when 3671 is divided by 153. 152 Calculate the remainder when 1042 is divided by 37. 6 Calculate the remainder when 2242 is divided by 125. 117 What is the remainder when 625 is divided by 57? 55 What is the remainder when 232 is divided by 59? 55 What is the remainder when 50 is divided by 17? 16 Calculate the remainder when 230 is divided by 107. 16 What is the remainder when 132 is divided by 35? 27 Calculate the remainder when 3594 is divided by 116. 114 Calculate the remainder when 18742 is divided by 71. 69 Calculate the remainder when 229 is divided by 105. 19 What is the remainder when 55 is divided by 17? 4 What is the remainder when 69 is divided by 31? 7 Calculate the remainder when 299 is divided by 15. 14 Calculate the remainder when 14 is divided by 9. 5 Calculate the remainder when 3705 is divided by 36. 33 Calculate the remainder when 72 is divided by 39. 33 Calculate the remainder when 330 is divided by 69. 54 Calculate the remainder when 196 is divided by 76. 44 Calculate the remainder when 310 is divided by 91. 37 Calculate the remainder when 1240 is divided by 411. 7 What is the remainder when 2795 is divided by 697? 7 Calculate the remainder when 1399 is divided by 8. 7 Calculate the remainder when 52 is divided by 14. 10 Calculate the remainder when 211 is divided by 18. 13 Calculate the remainder when 386 is divided by 152. 82 Calculate the remainder when 401 is divided by 179. 43 What is the remainder when 258 is divided by 9? 6 What is the remainder when 3494 is divided by 31? 22 Calculate the remainder when 1197 is divided by 40. 37 What is the remainder when 1341 is divided by 56? 53 What is the remainder when 1872 is divided by 169? 13 What is the remainder when 213 is divided by 56? 45 Calculate the remainder when 342 is divided by 69. 66 Calculate the remainder when 1334 is divided by 34. 8 What is the remainder when 1180 is divided by 144? 28 What is the remainder when 923 is divided by 66? 65 Calculate the remainder when 58 is divided by 10. 8 What is the remainder when 538 is divided by 90? 88 What is the remainder when 157 is divided by 86? 71 Calculate the remainder when 758 is divided by 251. 5 Calculate the remainder when 3883 is divided by 185. 183 Calculate the remainder when 69 is divided by 26. 17 What is the remainder when 323 is divided by 15? 8 What is the remainder when 844 is divided by 73? 41 Calculate the remainder when 707 is divided by 12. 11 What is the remainder when 230 is divided by 56? 6 Calculate the remainder when 65 is divided by 64. 1 What is the remainder when 150 is divided by 20? 10 Calculate the remainder when 2224 is divided by 44. 24 What is the remainder when 2174 is divided by 32? 30 What is the remainder when 135 is divided by 14? 9 What is the remainder when 4213 is divided by 382? 11 Calculate the remainder when 9252 is divided by 2310. 12 What is the remainder when 514 is divided by 315? 199 Calculate the remainder when 694 is divided by 117. 109 What is the remainder when 638 is divided by 320? 318 What is the remainder when 65 is divided by 6? 5 Calculate the remainder when 172 is divided by 157. 15 Calculate the remainder when 302 is divided by 44. 38 Calculate the remainder when 1166 is divided by 83. 4 What is the remainder when 636 is divided by 7? 6 What is the remainder when 396 is divided by 57? 54 What is the remainder when 2766 is divided by 99? 93 What is the remainder when 161 is divided by 52? 5 Calculate the remainder when 158 is divided by 50. 8 Calculate the remainder when 98 is divided by 32. 2 Calculate the remainder when 1176 is divided by 41. 28 What is the remainder when 9624 is divided by 57? 48 Calculate the remainder when 714 is divided by 15. 9 What is the remainder when 86 is divided by 11? 9 What is the remainder when 2483 is divided by 353? 12 Calculate the remainder when 228 is divided by 40. 28 Calculate the remainder when 501 is divided by 72. 69 What is the remainder when 3372 is divided by 17? 6 Calculate the remainder when 7530 is divided by 377. 367 Calculate the remainder when 999 is divided by 165. 9 What is the remainder when 253 is divided by 59? 17 What is the remainder when 1510 is divided by 12? 10 What is the remainder when 143 is divided by 61? 21 What is the remainder when 928 is divided by 134? 124 Calculate the remainder when 2813 is divided by 6. 5 What is the remainder when 56105 is divided by 54? 53 What is the remainder when 1474 is divided by 105? 4 What is the remainder when 732 is divided by 32? 28 Calculate the remainder when 12215 is divided by 10. 5 Calculate the remainder when 239 is divided by 73. 20 What is the remainder when 15094 is divided by 111? 109 What is the remainder when 707 is divided by 240? 227 Calculate the remainder when 4116 is divided by 38. 12 What is the remainder when 409 is divided by 142? 125 What is the remainder when 89 is divided by 27? 8 Calculate the remainder when 97 is divided by 32. 1 Calculate the remainder when 62918 is divided by 242. 240 What is the remainder when 1374 is divided by 32? 30 What is the remainder when 458 is divided by 113? 6 Calculate the remainder when 605 is divided by 92. 53 What is the remainder when 182 is divided by 46? 44 Calculate the remainder when 166 is divided by 34. 30 Calculate the remainder when 6979 is divided by 20. 19 Calculate the remainder when 216 is divided by 107. 2 Calculate the remainder when 114 is divided by 17. 12 What is the remainder when 258 is divided by 37? 36 Calculate the remainder when 22427 is divided by 63. 62 What is the remainder when 1172 is divided by 98? 94 Calculate the remainder when 96 is divided by 34. 28 What is the remainder when 363 is divided by 75? 63 Calculate the remainder when 634 is divided by 176. 106 Calculate the remainder when 417 is divided by 51. 9 What is the remainder when 88 is divided by 11? 0 What is the remainder when 285 is divided by 44? 21 Calculate the remainder when 75 is divided by 40. 35 What is the remainder when 46 is divided by 27? 19 What is the remainder when 726 is divided by 146? 142 What is the remainder when 668 is divide
{ "pile_set_name": "DM Mathematics" }
*g**2 + 2 + (0 + 2*g + 0)*(1 - 1 + 8*g). 26*g**2 Expand 3*l + l**2 - 3*l + 2*l - 2*l + l**2 + (-1 - 1 + 0)*(-3 - 2*l**2 + 3) + 15*l**2 - 26*l**2 + 13*l**2. 8*l**2 Expand -h - 3*h**4 + h - 2*h**3 + (-3 + 2*h**2 + 3)*(2*h**2 + 0 + 0) + 3*h**4 - 3*h**4 + 2*h**4 + h**4 + 3*h**4 - 5*h**4. 2*h**4 - 2*h**3 Expand (-2 + 1 - 1)*(-4*k - k + 3*k) + 91 - 10*k - 91 - 3*k - 1 + 1. -9*k Expand (-4*d - d + 6*d)*(0*d**2 + 5*d**2 - 7*d**2 + (-d - 1 + 1)*(-4*d + d + 2*d)). -d**3 Expand ((0 + 2*t + 0)*(-1 + 2 - 3) - 2*t + 4*t - 3*t - 2*t + 6*t - 3*t)*(-t**4 - 3*t + 3*t + (-5*t**3 + 2*t**3 + 5*t**3)*(4*t - 5*t + 0*t)). 12*t**5 Expand (-889*w**2 + 391*w**2 + 433*w**2)*(4 - 4 - 2). 130*w**2 Expand ((-1 + 1 + 1)*(-2 - 2*i + 2) + 3*i - 3*i - i)*(3*i - 2*i + 2*i)*(-3*i + 6*i - i). -18*i**3 Expand (-3*d**4 + 4*d**4 - 3*d**4)*(-15 - 7*d + 13 + 3*d). 8*d**5 + 4*d**4 Expand (-2 + 3 - 3)*(q**2 - 1 + 1)*(2 - 3 + 2). -2*q**2 Expand -l**5 + 2*l**5 - 3*l**5 + (2*l**3 - 4*l + 4*l)*(-2*l**2 + 2*l**2 + l**2) + 4*l**5 - 6*l**5 + 4*l**5. 2*l**5 Expand (6*v - 2*v - 2*v)*(-1 - v + 1) + ((-1 + 1 + 3*v)*(-1 + 2 + 0) + v + 2*v - v)*(-1 - v + 1). -7*v**2 Expand (1 - y - 1)*(745 - 54*y**4 - 745) - 3*y**5 + 4*y**5 + 0*y**5 + (-2*y**4 + 2*y**2 - 2*y**2)*(0*y - 6*y + 5*y) + 0*y + y**5 + 0*y. 58*y**5 Expand (0 + 0 + h)*(2*h - 5*h + 0*h)*(-2*h**3 - 5*h + 5*h**2 - 5*h**2). 6*h**5 + 15*h**3 Expand (0 + 0 + a**2)*(2 + 2 - 6)*(a - 4*a + 0*a). 6*a**3 Expand (3 + 1 + 2*l**2 - 1)*(2*l**3 - 2 - 7*l**3 + 6*l**3). 2*l**5 + 3*l**3 - 4*l**2 - 6 Expand (8*s**2 - 17*s**2 + 7*s**2 - 13)*(0 + 3 - 4). 2*s**2 + 13 Expand (-j - j + j)*(-9*j + 2*j - 4*j)*(-4 + 0 + 3). -11*j**2 Expand (-1 + 1 - d)*(0 - 3 + 8 + (-4 + 5 - 2)*(-4 + 2 + 4) + 2 + 1 - 4). -2*d Expand 2*f**3 - f**3 - 3*f**3 + (1 + 1 + 0)*(-f + 4*f**3 + f). 6*f**3 Expand -5*z**5 + 2*z**5 + 2*z**5 + (2*z**2 + 0 + 0)*(-5*z**3 - 4*z**3 + 5*z**3). -9*z**5 Expand (-1 + 1 + k)*(-3*k**4 + 4*k**4 + 0*k**4) + 4*k**5 + 2*k**5 - 5*k**5 - k**5 - k**3 + k**3 - 2*k**5 + 4*k**5 - 5*k**5. -2*k**5 Expand (-2*z - 3*z + 3*z)*(4*z**2 - 2*z**2 - 4*z**2) - z**3 + 14*z**3 - 2*z**3. 15*z**3 Expand 2*h**2 - 4*h + 4*h + 4 + 0*h + 2*h**2 + 0*h + (4 - 3 - 3)*(2*h**2 + 4*h**2 - 5*h**2) + 3*h - 3*h - h**2 - 2*h**2 - 2 + 2. -h**2 + 4 Expand (8 + 2*p - 2*p - 2*p)*(2 - 2 + 1 + (3 + 0 - 5)*(2 + 2 - 5) - 6 + 5 - 1). -2*p + 8 Expand (-3 + 12*b + 15*b - 26*b)*(-7*b**2 + 7 - 7). -7*b**3 + 21*b**2 Expand -t**4 - 2*t**3 + 2*t**3 - 2*t**4 + 8*t**4 - 2*t**4 + 3*t**4 + t**4 - 2*t**4 + (-4*t**2 - 2*t**2 + 4*t**2)*(-3*t - t**2 + 3*t). 7*t**4 Expand -a**2 + a**2 + 2*a**5 + (a**4 + a**4 - a**4)*(a + 3*a - 5*a) - 2*a**5 + 3*a**5 - 3*a**5 + a**5 + a**5 + 0*a**5 + (a - a - a**4)*(2*a - 6*a + 0*a). 5*a**5 Expand (-2*f + 2*f - f)*(-3*f**3 + 5*f**3 + 0*f**3) + (f + 4*f - 3*f)*(0*f**2 + 0*f**2 - f**3) + 3*f**2 - 3*f**2 - f**4. -5*f**4 Expand 0*h + 2*h**3 + 0*h - 3*h + 9*h - 4*h - 7*h**3 + (-h**2 + 2*h**2 + h**2)*(-2*h + 5*h - h). -h**3 + 2*h Expand -4 + 4 + 2*i**2 + (2*i + 4*i - 5*i)*(-3*i - 2*i + 3*i) - 2*i**2 - 1 + 1 + i**2 - 2 + 2 - i**2 - 5*i**2 + 4*i**2 + (-2*i - 3 + 3)*(-4*i + i + 4*i). -5*i**2 Expand (-4*w + 2*w + 4*w)*(6 + 0 - 1) + 0*w + 4*w + 8*w. 22*w Expand (t**3 - t**3 + t**4)*(-916*t + 12 + 458*t + 466*t). 8*t**5 + 12*t**4 Expand (0*g + 4*g - g)*(8*g - 2*g + 2*g)*(2*g - 2*g + g**3). 24*g**5 Expand (6*i**2 - 3*i**2 - i**2)*(4*i - 3*i - 3*i) + (-i**2 + 4 - 4)*(-10*i + i + 2*i) + (-6 + 2 + 2)*(-2*i**3 - 3 + 3). 7*i**3 Expand (-4*m + 2*m**2 + 4*m)*(-2*m**3 - m + m) + 7*m**2 - 7*m**2 - 3*m**5 - 3*m**5 + 2*m**5 + 2*m**5. -6*m**5 Expand 2*y**2 - 2*y**4 - 2*y**2 + (-3*y + 7*y - y)*(y**3 + 5*y**3 - 5*y**3) - 9*y**2 + 3*y**4 + 9*y**2. 4*y**4 Expand 3*p**4 + 0*p**4 - p**4 + (15*p**2 + 87*p - 87*p)*(-5*p**2 + 1 + 3*p**2 + 3*p**2). 17*p**4 + 15*p**2 Expand s**3 + 5 - 5 + (0*s**2 + 2*s**2 + 0*s**2)*(-4*s + 0*s + 0*s). -7*s**3 Expand 5*p**3 + 4*p**3 - 4*p**3 + (1 + 2 - 1)*(-p**3 + 2*p**2 - 2*p**2) - 2*p**3 + 0*p**3 + 0*p**3. p**3 Expand -3 + x + 3 + (-2 + 2 + 8*x)*(0 - 3 - 1). -31*x Expand -14*n**2 + 14*n**2 + 26*n**4 + 0*n**3 + 2*n**4 + 0*n**3 + (0*n**4 + 2*n**4 - 3*n**4)*(2 + 1 - 2). 27*n**4 Expand (5 - 41 - 1)*(h**5 - 1 + 1 + (2*h**2 + 4*h**2 - 5*h**2)*(h**3 - h**3 - 2*h**3)). 37*h**5 Expand 3*j + 5 - 5 + (0 + 0 + 2)*(0 + 0 + 2 - 2*j). -j + 4 Expand (1 - 14 - 3)*(a**3 + 0*a**2 + 0*a**2). -16*a**3 Expand h**2 - h - 2*h**4 + h + (-3*h + h**3 + 3*h)*(-3*h - 2*h + 3*h) + 3*h**4 + 3*h**4 - 3*h**4. -h**4 + h**2 Expand 5*r + 0*r - 3*r + 13*r - 6*r - 11*r + (1 + 0 + 0)*(-3*r - 3*r + 3*r). -5*r Expand -2*a - 5 + 5 + (25 - 6*a - 25)*(5 - 3 - 1). -8*a Expand -3*f**3 - f**3 - 2*f**3 + (1 + 3*f - 1)*(-5*f**2 + 0*f**2 + 3*f**2). -12*f**3 Expand 5*u**5 - 2*u**4 + 2*u**4 + (-u**4 - 4*u**4 + 2*u**4)*(0*u - 2*u - 2*u) + u**2 + 3*u**3 + 2*u**5 - 3*u**3. 19*u**5 + u**2 Expand ((3 + 0 - 4)*(-5 + 3 + 1) + 1 + 6 - 2)*((1 - 3 + 4)*(2*d - 3*d + 2*d) + 2*d + 1 - 1). 24*d Expand (6*p**4 + 3*p**4 - 5*p**4)*(4 - 1 + 6). 36*p**4 Expand (-61 - 22 - 18)*(-2*f**2 - 3*f**2 + 3*f**2). 202*f**2 Expand (1 - 2 - 4)*(-1 + 0 + 0)*(-2 + 5 + 1)*(-3 + 4*y + 3). 80*y Expand -b**4 - 4*b**4 + 3*b**4 - 5*b**4 - b**4 + 4*b**4 + (-b**3 - 3*b**3 + 5*b**3)*(-2*b + 1 - 1). -6*b**4 Expand (0*r**3 + 4*r**3 + r**3)*(0*r - 2*r + 3*r) + 7 - 7 + 6*r**4. 11*r**4 Expand (-8*p**4 + 34*p**4 + 7*p**4)*(0 + 1 + 0)*(-p + p + 4*p). 132*p**5 Expand (-2*q + 2*q + 4*q**2)*(2*q**3 + 5*q**3 - 4*q**3) - 1 + 2*q**5 + 1. 14*q**5 Expand f**3 - 4*f**2 + 4*f**2 - 4*f**3 - 2*f**3 - 3*f**3 - 4*f**3 + 5*f**3 - 3*f**3 + (0*f**2 + 3*f**2 - 2*f**2)*(3*f - 4*f + 2*f). -9*f**3 Expand (4*d + 9 - 9)*(-8 - 2 + 3). -28*d Expand -3*m + 2*m + 2*m - 3*m - m + 2*m + 2*m - 6*m + 2*m + (-2 + 3 + 1)*(1 - 1 - m) - 2*m + 0*m + 3*m + 6*m - 2*m - m. -m Expand 5*x**2 - 5*x**2 + x**4 + (-2*x**3 + 0*x + 0*x)*(x - 1 + 1) - x**4 + 0*x**3 + 0*x**3. -2*x**4 Expand 5*d**2 - 2*d**2 - 2*d**2 + (2 - 2 - 2)*(0*d**2 + 2*d**2 - 3*d**2) + d**2 - d**2 - d**2 - 3*d**2 - 1 + 1 + 0 - 3*d**2 + 0. -4*d**2 Expand (-3*a + a + 4*a)*(-2 + 1 - 1 + 0 + 1 + 2 + 2 - 3 + 0 + (0 - 2 + 0)*(1 + 4 - 4) + 4 + 0 + 1). 6*a Expand (-m + m - m)*(-2*m - m + 4*m) - 8*m + 6 + 2*m**2 + 8*m. m**2 + 6 Expand 6*t**3 - 3*t**3 + 0*t**3 + (2*t - 3 + 3)*(0 + 2*t**2 + 0) + t**3 + 3 - 3 - 3*t**3 + 2*t**3 + 0*t**3. 7*t**3 Expand (-2 - 1 + 1)*(-g + 0*g + 3*g) + (2 - 4 + 1)*(-6*g + 3*g - 2*g). g Expand (2 - 2 - 2*x)*(18 + 9*x**4 - 18). -18*x**5 Expand (1 - 2 - 3)*(7*f - 2*f - 4*f) - 13*f - 12*f + 9*f. -20*f Expand (0*l - l + 3*l)*(-1 + 5 - 3)*(-3 - 3*l**2 + 3). -6*l**3 Expand (-v**2 + v**2 - v**2)*(-v**3 - v**3 + 7*v**3 + (-2*v**3 + 2*v**3 + v**3)*(-4 - 1 + 3)). -3*v**5 Expand (-2*c + 1 - 1)*(c**4 + c**4 - c**4) + 5*c**5 - 4*c**5 - 3*c**5 + (c + c - 4*c)*(4*c**4 - 2*c**4 + 0*c**4). -8*c**5 Expand (0*v**2 - 3*v**2 + 4*v**2)*(v + v - 4*v) + 2*v**3 - 5*v**3 + 5*v**3 + (-2*v**3 + 2*v**3 - v**3)*(0 + 2 - 4). 2*v**3 Expand (0*g - 3*g + 1 - 4)*(3*g**2 - 3*g + 3*g). -9*g**3 - 9*g**2 Expand 11 - 2 - 9 + 72*z**2 + 5*z**2 + 0*z**2 - 4*z**2 + (-1 + 1 - 2*z)*(-5*z + z + 2*z). 77*z**2 Expand (4*l**2 - 4*l**2 - 4*l**3)*(-21*l + 19*l + 11 - 3). 8*l**4 - 32*l**3 Expand (0*w + 0*w + 2*w**2)*(7 - 5 + 0). 4*w**2 Expand (7*p**2 + 0*p**2 - 4*p**2)*(-3 - 7 + 16) + p**2 - p + p. 19*p**2 Expand (7 - 3 - 2)*(-5*a**3 + 3*a**3 + 4*a**3) + (-7*a**2 - 4*a + 4*a)*(-a - 4 + 4) - 2*a + 5*a**3 + 2*a - 1 + 1 + 4*a**3. 20*a**3 Expand (6*y - y - 2*y)*(4 + 0 - 2) + (-1 + 9 - 3)*(y + y - y)*(15 - 10 - 14). -39*y Expand 8*x**2 - 2*x**2 + 4*x**2 + (1 - 1 + x**2)*(-6 + 3 + 4) + x**2 + 2*x**2 - 6*x**2. 8*x**2 Expand (-1 + 5 - 3)*(3*s**2 - 4*s**2 - 2*s**2)*(2 - 2*s - 2). 6*s**3 Expand (-r + 2*r + 0*r)*(2 - 2 - 2*r) + (-4*r + 3*r + 16*r)*(-r + 2 - 1 + 1 + (1 - 3 + 3)*(-2*r - 3*r + 3*r)). -47*r**2 + 30*r Expand (0*l**2 + 5*l**2 - 3*l**2 + (-6*l + 4*l - l)*(l - l - 3*l) - 2*l**2 - 1 + 1 + (2 - 2 - 2*l)*(3*l - 2*l + 0*l))*(0 - 1 + 0). -7*l**2 Expand (-2*y**2 - 2*y + 2*y)*(2*y + y - 2*y) + y**3 - 5*y**3 + 2*y**3 - 82*y + 90*y**3 + 82*y. 86*y**3 Expand g**5 + g**4 - 2*g**4 - 2*g**5 + (-g + 0*g + 0*g)*(412*g + 35*g**4 - 412*g). -36*g**5 - g**4 Expand (i + i - i)*(-2*i - 2*i + 3*i)*((3*i - 3*i - i)*(0*i + i - 3*i) + 3*i**2 - 6*i**2 - i**2). 2*i**4 Expand (2*j + 0*j + 2*j - 2)*(j**3 - j**3 - j**3)*(3*j - 2*
{ "pile_set_name": "DM Mathematics" }