text
stringlengths
518
8.19k
meta
dict
he greatest common factor of y and 55? 11 Suppose -71 = -14*b + 13. Suppose -b*h + 118 = -464. What is the greatest common factor of 388 and h? 97 Suppose -95*h + 600 = -540. Suppose 6334 - 1450 = 11*g. Calculate the greatest common divisor of g and h. 12 Suppose 0 = 5*f, -4*i + 261 - 69 = -2*f. Suppose -c = 5*z + 303, -4*z - 98 = 3*c + 151. Let b = z + 132. What is the greatest common factor of i and b? 24 Suppose -5*f + 21 = -144. Suppose -2016 = -f*a - 15*a. What is the greatest common factor of 72 and a? 6 Let b(k) = k**3 - 5*k**2. Let z be b(7). Suppose 3*o - 340 - z = 0. Suppose 5*d + o = 626. Calculate the highest common factor of 12 and d. 12 Suppose 2*p - 5*i - 1780 = -2*p, 884 = 2*p - 4*i. What is the greatest common factor of 850 and p? 50 Let c = -6771 - -6787. What is the greatest common divisor of 480 and c? 16 Suppose -8*n - 4*v = -3*n + 6, -2*n + v = -8. Suppose -315 = -n*x + 273. Calculate the highest common divisor of 42 and x. 42 Suppose -3*d - 7 = -3*q + 2, 9 = 2*q - d. Suppose 21 = q*g + 3. Let h be (g/5)/((-5)/(-275)). Calculate the highest common divisor of 22 and h. 11 Suppose 2*h + 72 = 4*p, -173*p + 169*p + 5*h = -60. Let l = -70 + 130. What is the greatest common divisor of l and p? 20 Suppose 3*u + 4*w - 329 = 0, -4*u - 3*w - 2*w = -439. Suppose 0 = t + n - 182, -2*t - 79 = n - 446. Calculate the greatest common divisor of t and u. 37 Let i = -1066 + 1072. Let j be 0/(-2) + (7 - (-3 + -3)). Calculate the highest common factor of i and j. 1 Suppose 0*g = 74*g - 2590. Suppose -4*c + g - 3 = 0. Calculate the highest common factor of 648 and c. 8 Let l(z) = z + 20. Let k be (-28)/(-3) - (-10)/15. Let f be (-2 + 0)*k/4. Let n be l(f). What is the greatest common factor of 105 and n? 15 Suppose 2*x = -3*x + 1000. Let p = -122 + x. Suppose -5*n = 3*b + 30 - p, n - b - 16 = 0. Calculate the highest common divisor of 132 and n. 12 Let t = 25 - -15. Suppose -4*l - 1114 = -2*f, -4*f + 5*l + 1133 + 1110 = 0. Let s = -207 + f. What is the greatest common divisor of t and s? 40 Let p = -140 - -106. Let j = 175 - p. What is the greatest common divisor of j and 19? 19 Let z(f) = -584*f - 2902. Let d be z(-6). Calculate the greatest common factor of d and 140. 14 Let u(m) = m**3 - 24*m**2 + 32*m + 48. Let q be u(23). Let f be 2 + (q/(-1))/(-3). What is the highest common divisor of 29 and f? 29 Suppose -2*z + 5*t + 50 = 0, 0 = -5*z + 10*z - 2*t - 104. Suppose z*p = 11*p + 513. What is the highest common divisor of p and 741? 57 Let m = -663 + 787. Let w be -2*3/2 - (4 - m). Calculate the highest common divisor of w and 63. 9 Suppose 6*o - 562 = 4*w - 11658, -4*o + 5590 = 2*w. What is the highest common divisor of w and 484? 121 Let i be (4 - (3 - 2)) + 5. Let s(x) = -x**3 + 7*x**2 + 13*x - 10. Let h be s(i). Suppose h = j + 19. What is the highest common divisor of j and 33? 11 Let f = -57 + 102. Let u be 2/6*((-27)/9 + f). What is the greatest common factor of u and 35? 7 Suppose 0 = -115*a + 79*a + 28764. Calculate the greatest common factor of 17 and a. 17 Let j be (4800/(-70) - -68) + 0 + (-970)/(-7). Calculate the greatest common divisor of j and 7383. 69 Suppose -2*h - j = -1090, -4*h - 61*j = -58*j - 2184. What is the greatest common divisor of 3 and h? 3 Let k be ((-2)/6 - 0) + (-9858)/(-279). Let i be (3 + -5)/(6/(-105)). Calculate the greatest common divisor of k and i. 35 Let z(t) = -t**3 - 7*t**2 + 50*t + 803. Let r be z(-14). What is the greatest common divisor of 45 and r? 5 Let d = 7007 + -6884. Calculate the highest common factor of d and 21. 3 Let t(q) = 2*q**3 + 2*q**2 + 2*q - 4. Let r be t(1). Suppose -18*k - r = -16*k, -3*x = -4*k - 364. What is the highest common factor of 180 and x? 60 Let t be 0 - (5 - -2) - -7. Suppose -3*m + 3*x - 8*x + 226 = t, 3*x - 382 = -5*m. What is the highest common divisor of 11 and m? 11 Let t = 453 - 449. Let w be (272/(-24))/((-1)/3). Calculate the highest common factor of w and t. 2 Suppose -2*u = -4*l - 62, -2*l - 23 = 3*u - 108. Suppose -5 + u = 4*b. Let f be (b + -4)/(-2) + 52. Calculate the highest common factor of 17 and f. 17 Let g be (-1)/((-6)/8) - 3/9. Let h be g/((-18)/(-166)) + 4/(-18). Calculate the greatest common factor of h and 3. 3 Suppose g - 75 = -0*g - a, 65 = g - 4*a. Suppose -17*s + g = -12. Calculate the highest common factor of s and 40. 5 Let p = 447 - 327. Let n(c) = 5*c - 21. Suppose -8*q = -50 - 22. Let o be n(q). What is the greatest common factor of o and p? 24 Let m be 484224/780 + (2 - (-27)/(-15)). Calculate the highest common divisor of m and 648. 27 Suppose -127*i + 134*i - 182 = 0. Suppose 3*c - 33 = -r + 97, 2*r = c + 260. Calculate the greatest common factor of i and r. 26 Let k be 2/(-9) - (-58)/18. Suppose 3*s - 3*w = -4*w + 83, -114 = -4*s - k*w. Let v = s + -21. What is the greatest common factor of 4 and v? 2 Let c(b) = -b**3 + 19*b**2 - 17*b - 11. Let t be c(18). Let f be (t - 2 - 4) + -441. Let o be f/(-45) + 4/18. Calculate the highest common factor of 35 and o. 5 Suppose 2*r - 102*w = -97*w + 22875, 3*r - 34285 = 2*w. What is the highest common factor of r and 25? 25 Let k(m) = 26*m**2 - m + 51. Let h be k(6). Suppose -h - 1692 = -33*u. What is the highest common factor of 36 and u? 9 Let l(n) = -2*n**2 + 57. Let t be l(0). Let y(k) = 50*k - 1. Let u be y(-1). Let h = u + t. What is the greatest common factor of 3 and h? 3 Suppose -8*h - 9*h + 2*h + 170640 = 0. What is the highest common factor of 144 and h? 144 Let u(s) = s**3 + 17*s**2 - 920*s + 13. Let x be u(-40). What is the highest common divisor of 3679 and x? 13 Let o = 12058 - 8909. Calculate the highest common divisor of 94 and o. 47 Let s = -3233 - -3877. What is the greatest common factor of s and 112? 28 Suppose 0 = -261*o + 252*o + 9234. What is the highest common divisor of 190 and o? 38 Let v(m) = -318*m - 1060. Let h be v(-12). Calculate the highest common factor of h and 636. 212 Let p(t) = t**2 - 11*t + 24. Let x be p(8). Suppose x*o + 4*o - 28 = 0. Calculate the highest common divisor of 77 and o. 7 Let q = 5335 - 4672. What is the greatest common divisor of 187 and q? 17 Let t(v) = -v**3 + 11*v**2 - 32*v + 77. Let q be t(8). Calculate the greatest common divisor of q and 793. 13 Let m(g) = 157*g**3 - 3*g**2 + 5. Let r be m(1). Calculate the greatest common factor of r and 265. 53 Suppose -3*v = -6, -m - 5*v - 1622 = -5*m. Let w = m + -331. What is the highest common factor of w and 1232? 77 Suppose 24 - 22 = o. Let t(p) = -13*p. Let g be t(o). Let s = g + 82. Calculate the greatest common divisor of s and 7. 7 Suppose 4*v = -8, v = -5*b - 3*v + 117. Suppose 0 = -2*g + b - 61. Let m be ((-16)/(-6))/((-1)/g). Calculate the highest common factor of 6 and m. 6 Suppose 6*v = -49 - 5. Let w be 646/153 + 2/v. Suppose 3*t = -5*d + 97, -1 + 78 = w*d + 3*t. What is the highest common divisor of d and 4? 4 Let o(m) = -10*m**2 - 740*m + 25. Let h be o(-74). What is the highest common factor of h and 19? 1 Let m be ((-77084)/(-54))/7 + 80/1080. Calculate the greatest common factor of m and 1190. 34 Suppose -2*z = 4*g - 100, -143*z + 140*z + 2*g = -150. What is the greatest common divisor of z and 76? 2 Let p be (46693/(-106))/((-1)/8). Suppose -p = -7*c + 4372. What is the highest common factor of c and 47? 47 Let a(t) = -t - 2 + 2*t - 2*t**3 + 4 - 3*t**2 + 2. Let f be a(-2). Suppose b + y + 1 = 0, 4*y + 16 = 2*b - 6. Calculate the highest common factor of f and b. 3 Let l(w) = 6*w - 109. Let f be l(19). Suppose -k - f*u = -2, 4*k + 6*u - 5*u - 46 = 0. What is the greatest common factor of 15 and k? 3 Let k(w) = -736*w + 10365. Let v be k(14). Suppose 4*d + 4880 = 5*j, 5*j + 5*d - 3926 = 954. Calculate the greatest common factor of j and v. 61 Let y = 236 + -164. Suppose -2618 = -362*z + 355*z. Let a = -350 + z. What is the greatest common factor of a and y? 24 Let o(r) be the second derivative of 5*r**3/3 - 25*r**2/2 - 3*r - 6. Let h be o(3). What is the highest common divisor of 135 and h? 5 Let g = -11076 - -11408. What is the greatest common divisor of g and 52? 4 Let x = -41535 + 71229. Calculate the highest common factor of 294 and x. 294 Suppose 0 = 9*r + 316 + 2591. Let n = 327 + r. Calculate the highest common divisor of n and 58. 2 Suppose -46*u + 52*u = 90. Sup
{ "pile_set_name": "DM Mathematics" }
7, l = -3*g - 0*g + 63. What is the remainder when g is divided by 6? 2 Let p(s) = -s + 3. Let o be p(0). Calculate the remainder when 9 is divided by (2 - o)*3 - -7. 1 Let j(o) = o**2 + 5*o + 2. Let f be 5/(2*1/(-2)). Calculate the remainder when 2 is divided by j(f). 0 Let w(a) = -a**3 - 7*a**2 - a - 11. Calculate the remainder when w(-8) is divided by 16. 13 Let v(f) = f**2 - f + 1. Let g(s) = s - 3. Let c be g(5). Calculate the remainder when 9 is divided by v(c). 0 Suppose -v + 1 = -3. Suppose 9 = v*f - f. Suppose -2*r + 2*l - f*l = -96, -2*r + 2*l + 90 = 0. Calculate the remainder when r is divided by 16. 15 Let q(n) = -n**2 - 5*n - 5. Let y be q(-5). Calculate the remainder when (-63)/(-5) + (-2)/y is divided by (-66)/(-10) + (-4)/(-10). 6 Suppose -5*v + 4*o = -170, -4*v + 0*v - 2*o + 162 = 0. Suppose -d = -1, 4*x - 106 = -4*d - v. What is the remainder when ((-1)/(-2))/(2/184) is divided by x? 14 Suppose -k + 14 = v + 2*k, -4*k + 24 = 2*v. Suppose 4*b = v*b - 224. What is the remainder when b is divided by 19? 18 Let w(h) = 7*h + 15. Calculate the remainder when w(8) is divided by 18. 17 Let j(h) = -h**3 - 17*h**2 + 19*h + 23. What is the remainder when 22 is divided by j(-18)? 2 Suppose -d + 3*d = 0. Suppose -o + 1 + 1 = d. What is the remainder when 7 is divided by o? 1 Let c = -15 + 70. Let o = c + -39. What is the remainder when o is divided by 6? 4 Let i = 89 - 36. Calculate the remainder when i is divided by 28. 25 Let v(j) = -j**3 - 6*j**2 - 7*j - 5. Let i be v(-5). Suppose 2*s = 3*r - 15, 0 = -2*s + i*s. What is the remainder when 14 is divided by r? 4 Suppose -5*l + 15 = -3*a, -l - 2*a - 10 = 3*l. What is the remainder when 61 is divided by 11 + 5 + (l - 0)? 13 Let m(h) = 6*h**2 + 3*h - 4. Calculate the remainder when m(-3) is divided by 14. 13 Let u be 0*2/6*1. Suppose u = n - 23 - 18. Suppose -4*s = -2*d + 40, 0 = d + 3*s + 2*s + 1. What is the remainder when n is divided by d? 13 Suppose 4*l = 5*i + 151, 0*l = 2*l - 2*i - 74. Let v = 12 - -25. Let t = v + -19. Calculate the remainder when l is divided by t. 16 Let h(v) = -5*v**3 - v - 5. Let k be h(-5). What is the remainder when 6/8 + k/20 is divided by 17? 15 Suppose 0 = -5*a + 13 + 17. What is the remainder when 11 is divided by a? 5 Let c(n) = -n**2 - 10*n - 13. Let z(s) = -s**2 - 10*s - 12. Let t(o) = 4*c(o) - 3*z(o). Calculate the remainder when t(-7) is divided by 2. 1 Let h(y) = -y + 5. Let i be h(3). Let j(x) = -x**3 - 1 - 1 - 5*x + 4*x**2 + i*x**2. Calculate the remainder when j(4) is divided by 6. 4 Let k(v) = -16*v + 11. Let w(r) = -15*r + 11. Let i(b) = 6*k(b) - 7*w(b). Calculate the remainder when i(7) is divided by 11. 8 Let g(w) = w**2 - 7*w - 3. Let u be g(8). Suppose -u*h + 6 + 54 = 0. Calculate the remainder when 33 is divided by h. 9 Suppose 0 = -q + 29 + 44. Let l(s) = 19*s**2 + s + 1. Calculate the remainder when q is divided by l(-1). 16 Suppose 0*h = -4*n - 5*h + 44, 3*h - 12 = 0. Suppose k + 3*z - 26 = 0, 2*z = -4*k + 29 + 25. Calculate the remainder when k is divided by n. 5 Let t be (-24)/(-18)*(-3)/(-2). Let g(r) = r**3 - r**2 - 3*r + 3. What is the remainder when -35*3/(-6)*t is divided by g(3)? 11 Let j(t) = -12*t + 1. Let z(b) = -4*b + 7. Calculate the remainder when j(-6) is divided by z(-3). 16 Let y(i) = i**3 + 10*i**2 - 11*i + 3. What is the remainder when y(-11) is divided by 2? 1 Let f = 5 + -1. Suppose 0 = -3*q - f*t + 10, q = -2*t - 0*t. What is the remainder when 18 is divided by q? 8 Let v = -1 - -3. Let m(w) = w - 1. Let i be m(v). Let x = 6 - i. Calculate the remainder when x is divided by 3. 2 Let u(c) = -2*c + 42. Calculate the remainder when u(8) is divided by 14. 12 Suppose -5*o + 7 = 2*l + 30, -2*o + l = 2. Let j = -5 - o. Calculate the remainder when 7 is divided by (2/(-5))/(j/10). 1 Let r(m) = -3*m**3 + 3*m**2 + 2*m - 1. Let f be r(-2). Let y = f - 5. Let c(i) = i**2 + 6*i + 2. Calculate the remainder when y is divided by c(-7). 8 Suppose -2*b + 6 = w - 0*w, -w - 4*b = -4. Calculate the remainder when w is divided by 1*8 - 12/8*2. 3 Suppose 83 = 4*i + 15. What is the remainder when 48 is divided by i? 14 Let l(c) = c**2 + 4*c - 4. Let u = -5 + 8. Calculate the remainder when l(-7) is divided by -2*6/(-4)*u. 8 Calculate the remainder when 23 is divided by 16/3 - (-5)/(-15). 3 Let q = 101 - 37. What is the remainder when q is divided by 11? 9 Let r(q) = -q**2 + 13. What is the remainder when 35 is divided by r(0)? 9 Let q(z) = -39*z. Let o be q(-3). Suppose -2*f = f - o. Let j = 74 - f. What is the remainder when j is divided by 12? 11 Calculate the remainder when 12 is divided by (14/(-10))/(-1)*5. 5 Let p = -43 - -101. Suppose -4*j + 6 = -p. What is the remainder when 30 is divided by j? 14 Let z be -8 + (-4)/(-2) + 0. Let l be (104/(-10))/(z/15). Let v = 19 + l. What is the remainder when v is divided by 23? 22 Let s = -148 + 168. What is the remainder when (-1 + 3)/((-2)/(-59)) is divided by s? 19 What is the remainder when 205/10 - 3/2 is divided by 10? 9 Let g(p) = p**2 + 10*p. Let s be g(-10). Suppose -6*o + 4*o + 14 = s. What is the remainder when 11 is divided by o? 4 Calculate the remainder when (-2 - -150)*15/10 is divided by 32. 30 Let c = 5 - 2. Let s = c + 38. Calculate the remainder when s is divided by 11. 8 Let r(w) = -2*w**3 + 0*w - 3*w**2 + 9*w**2 + w**3 - 4*w - 2. What is the remainder when 26 is divided by r(4)? 12 Suppose -3*j = -0 - 9. Suppose 15 + 15 = j*m. Calculate the remainder when 29 is divided by m. 9 Suppose 3*s + 28 = 5*d, -2*d + 16 = 2*d - 4*s. Let p = 32 + -11. Calculate the remainder when p is divided by d. 5 What is the remainder when 1/((-27)/(-2490)) - 2/9 is divided by 24? 20 Suppose 2*v + v - 54 = 0. Let a = 4 - 5. Let s(u) = 11*u**2 + u. Calculate the remainder when v is divided by s(a). 8 Suppose 11*c = 10*c + 9. Suppose 0 = 5*u, s - c = u + 1. Calculate the remainder when 47 is divided by s. 7 Suppose 3*q - 93 = 3. What is the remainder when q is divided by 11? 10 Let d = 4 - -11. Calculate the remainder when d is divided by 2. 1 Suppose -n - 4*n = -365. Suppose 0 = -2*m - 5*u + 60, -3*u + 131 = 2*m + 3*m. What is the remainder when n is divided by m? 23 Let p be -1 - ((1 - 5) + -2). Suppose h - p = -0*h. Calculate the remainder when 17 is divided by h. 2 Suppose 3*z = 44 + 1. Suppose 4*l - 32 = -p + 28, -z = -l - 3*p. Calculate the remainder when 29 is divided by l. 14 Let f(n) be the first derivative of -n**2 - 10*n + 43. Suppose -7 = -0*i + i. Calculate the remainder when 14 is divided by f(i). 2 Suppose 2*c - 222 = -c. What is the remainder when c is divided by 25? 24 Suppose -4*c + 3 = -9. Suppose -c = -0*u - u. Calculate the remainder when 6 is divided by u. 0 Let m = 77 - 75. Calculate the remainder when m is divided by 1. 0 What is the remainder when 27 is divided by (0/(-4))/(-1) + 7? 6 Let r(g) = -g + 13. Let l(o) = o**2 + 2*o - 7. Let w(u) = -3*u**2 - 5*u + 20. Let b(m) = -8*l(m) - 3*w(m). What is the remainder when r(-9) is divided by b(4)? 6 Let z(p) = -3*p + 3. Calculate the remainder when 10 is divided by z(-1). 4 Suppose 3*f + 2*w = 14 + 3, -3 = -f - 2*w. Suppose 0 = f*x - 2*x - 25. Suppose 5 = 2*p + 2*n - 13, n + 63 = x*p. What is the remainder when 34 is divided by p? 10 Let d(s) = -2*s - 4. What is the remainder when 24/18 - (32/(-3) + -3) is divided by d(-4)? 3 Suppose -h + 1 = -1. Let j = -18 + 23. Calculate the remainder when j is divided by h. 1 Suppose -5*t + 2 + 23 = 0. Suppose -1 = -t*g + 24. Let l(z) = 2*z + 3. Calculate the remainder when l(3) is divided by g. 4 Let g = 28 + 1. Calculate the remainder when g is divided by 11. 7 Let z(u) = u**2 - 3*u + 2. Let o be z(3). Let b be 25*2 + -2 + o. Suppose 0 = -0*k - 5*k + b. Calculate the remainder when k is divided by 6. 4 Suppose 6 - 3 = m, 3*w - 30 = -5*m. Let t be 45/2*(-8)/(-3). Suppose -20 = w*f - t. What is the remainder when f is divided by 3? 2 Let l be (-1)/1 - 3/(-1). Suppose s - l = -s. Calculate the remainder when 1 is divided by s. 0 Let b(o) = -o**3 - 15*o**2 - 2*o - 20. Suppose -5*t + 3*c = -104, 5*t + 0*t + 2*c = 89. What is the remainder when t is divided by b(-15)? 9 Suppose 0 = -21*g + 16*g + 55. What is the remainder when 32 is divided by g? 10 Suppose -6 = -6*p - 0. What is the remain
{ "pile_set_name": "DM Mathematics" }
me factors of 1529. 11, 139 What are the prime factors of 36255? 3, 5, 2417 What are the prime factors of 2614? 2, 1307 List the prime factors of 547. 547 What are the prime factors of 55536? 2, 3, 13, 89 List the prime factors of 4495. 5, 29, 31 List the prime factors of 23554. 2, 11777 List the prime factors of 24044. 2, 6011 List the prime factors of 21618. 2, 3, 1201 List the prime factors of 19470. 2, 3, 5, 11, 59 What are the prime factors of 442? 2, 13, 17 List the prime factors of 148. 2, 37 List the prime factors of 9011. 9011 List the prime factors of 135. 3, 5 What are the prime factors of 1620? 2, 3, 5 What are the prime factors of 15272? 2, 23, 83 What are the prime factors of 32261? 32261 List the prime factors of 32193. 3, 7, 73 List the prime factors of 800. 2, 5 List the prime factors of 2432. 2, 19 What are the prime factors of 69082? 2, 13, 2657 List the prime factors of 36320. 2, 5, 227 List the prime factors of 12827. 101, 127 List the prime factors of 1176. 2, 3, 7 What are the prime factors of 1299? 3, 433 What are the prime factors of 967? 967 List the prime factors of 1895. 5, 379 What are the prime factors of 16796? 2, 13, 17, 19 List the prime factors of 3230. 2, 5, 17, 19 What are the prime factors of 859? 859 List the prime factors of 26122. 2, 37, 353 List the prime factors of 5089. 7, 727 List the prime factors of 1432. 2, 179 List the prime factors of 3661. 7, 523 List the prime factors of 47139. 3, 19, 827 What are the prime factors of 1900? 2, 5, 19 List the prime factors of 878. 2, 439 What are the prime factors of 6362? 2, 3181 List the prime factors of 58113. 3, 11, 587 What are the prime factors of 18182? 2, 9091 What are the prime factors of 1278? 2, 3, 71 List the prime factors of 7204. 2, 1801 List the prime factors of 25614. 2, 3, 1423 What are the prime factors of 490? 2, 5, 7 List the prime factors of 2683. 2683 List the prime factors of 121233. 3, 7, 23, 251 List the prime factors of 19497. 3, 67, 97 What are the prime factors of 2081? 2081 List the prime factors of 595. 5, 7, 17 What are the prime factors of 161? 7, 23 List the prime factors of 1325. 5, 53 What are the prime factors of 5124? 2, 3, 7, 61 What are the prime factors of 714? 2, 3, 7, 17 List the prime factors of 332. 2, 83 What are the prime factors of 854? 2, 7, 61 What are the prime factors of 4314? 2, 3, 719 What are the prime factors of 956? 2, 239 What are the prime factors of 50146? 2, 25073 List the prime factors of 690. 2, 3, 5, 23 List the prime factors of 10106. 2, 31, 163 What are the prime factors of 1703? 13, 131 What are the prime factors of 979? 11, 89 List the prime factors of 19388. 2, 37, 131 What are the prime factors of 24195? 3, 5, 1613 What are the prime factors of 69520? 2, 5, 11, 79 List the prime factors of 11437. 11437 What are the prime factors of 39338? 2, 13, 17, 89 What are the prime factors of 270? 2, 3, 5 What are the prime factors of 60284? 2, 7, 2153 List the prime factors of 1300. 2, 5, 13 List the prime factors of 79886. 2, 59, 677 List the prime factors of 3263. 13, 251 What are the prime factors of 46619? 46619 List the prime factors of 1052. 2, 263 List the prime factors of 1622. 2, 811 List the prime factors of 51004. 2, 41, 311 List the prime factors of 9288. 2, 3, 43 List the prime factors of 5023. 5023 List the prime factors of 100981. 100981 What are the prime factors of 44760? 2, 3, 5, 373 List the prime factors of 393. 3, 131 What are the prime factors of 1675? 5, 67 What are the prime factors of 3795? 3, 5, 11, 23 List the prime factors of 152661. 3, 151, 337 What are the prime factors of 116117? 83, 1399 What are the prime factors of 2071? 19, 109 List the prime factors of 2440. 2, 5, 61 List the prime factors of 869. 11, 79 List the prime factors of 117300. 2, 3, 5, 17, 23 List the prime factors of 3186. 2, 3, 59 List the prime factors of 64107. 3, 17, 419 List the prime factors of 1284. 2, 3, 107 What are the prime factors of 3507? 3, 7, 167 What are the prime factors of 1935? 3, 5, 43 List the prime factors of 29479. 41, 719 List the prime factors of 1310. 2, 5, 131 What are the prime factors of 6774? 2, 3, 1129 What are the prime factors of 1305? 3, 5, 29 What are the prime factors of 388? 2, 97 List the prime factors of 2562. 2, 3, 7, 61 List the prime factors of 4593. 3, 1531 List the prime factors of 83800. 2, 5, 419 What are the prime factors of 386? 2, 193 What are the prime factors of 5282? 2, 19, 139 List the prime factors of 181. 181 What are the prime factors of 695? 5, 139 List the prime factors of 875. 5, 7 List the prime factors of 83763. 3, 41, 227 What are the prime factors of 22625? 5, 181 What are the prime factors of 4126? 2, 2063 What are the prime factors of 2476? 2, 619 What are the prime factors of 1318? 2, 659 List the prime factors of 10116. 2, 3, 281 List the prime factors of 8801. 13, 677 What are the prime factors of 1235? 5, 13, 19 List the prime factors of 1028. 2, 257 List the prime factors of 8773. 31, 283 What are the prime factors of 8457? 3, 2819 List the prime factors of 16241. 109, 149 What are the prime factors of 1947? 3, 11, 59 List the prime factors of 27968. 2, 19, 23 What are the prime factors of 161? 7, 23 List the prime factors of 361. 19 What are the prime factors of 18165? 3, 5, 7, 173 List the prime factors of 77403. 3, 25801 What are the prime factors of 422? 2, 211 List the prime factors of 1757. 7, 251 What are the prime factors of 34574? 2, 59, 293 What are the prime factors of 9291? 3, 19, 163 What are the prime factors of 2511? 3, 31 What are the prime factors of 1134? 2, 3, 7 What are the prime factors of 4110? 2, 3, 5, 137 List the prime factors of 8174. 2, 61, 67 What are the prime factors of 966? 2, 3, 7, 23 List the prime factors of 6231. 3, 31, 67 What are the prime factors of 3875? 5, 31 What are the prime factors of 3670? 2, 5, 367 List the prime factors of 16171. 103, 157 List the prime factors of 3087. 3, 7 List the prime factors of 93431. 13, 7187 What are the prime factors of 13125? 3, 5, 7 List the prime factors of 1828. 2, 457 List the prime factors of 43. 43 What are the prime factors of 22874? 2, 11437 What are the prime factors of 116309? 107, 1087 List the prime factors of 47181. 3, 15727 List the prime factors of 10738. 2, 7, 13, 59 What are the prime factors of 18689? 11, 1699 List the prime factors of 16938. 2, 3, 941 List the prime factors of 4356. 2, 3, 11 List the prime factors of 11764. 2, 17, 173 What are the prime factors of 365? 5, 73 List the prime factors of 6576. 2, 3, 137 What are the prime factors of 4357? 4357 List the prime factors of 2489. 19, 131 List the prime factors of 121549. 197, 617 What are the prime factors of 29784? 2, 3, 17, 73 What are the prime factors of 15104? 2, 59 What are the prime factors of 2142? 2, 3, 7, 17 What are the prime factors of 133? 7, 19 List the prime factors of 5816. 2, 727 List the prime factors of 1277. 1277 What are the prime factors of 50782? 2, 25391 What are the prime factors of 1667? 1667 List the prime factors of 4682. 2, 2341 What are the prime factors of 92959? 92959 List the prime factors of 2953. 2953 List the prime factors of 4230. 2, 3, 5, 47 List the prime factors of 14527. 73, 199 List the prime factors of 1321. 1321 List the prime factors of 1472. 2, 23 List the prime factors of 10258. 2, 23, 223 List the prime factors of 10993. 10993 What are the prime factors of 2408? 2, 7, 43 What are the prime factors of 3488? 2, 109 List the prime factors of 2958. 2, 3, 17, 29 List the prime factors of 5805. 3, 5, 43 List the prime factors of 9579. 3, 31, 103 What are the prime factors of 836? 2, 11, 19 List the prime factors of 78382. 2, 39191 List the prime factors of 2565. 3, 5, 19 What are the prime factors of 11666? 2, 19, 307 List the prime factors of 14454. 2, 3, 11, 73 List the prime factors of 8691. 3, 2897 What are the prime factors of 1790? 2, 5, 179 What are the prime factors of 5080? 2, 5, 127 List the prime factors of 862. 2, 431 What are the prime factors of 8052? 2, 3, 11, 61 List the prime factors of 178623. 3, 89, 223 List the prime factors of 3031. 7, 433 List the prime factors of 1418. 2, 709 What are the prime factors of 2514? 2, 3, 41
{ "pile_set_name": "DM Mathematics" }
Expand (((-1 + 4 - 1)*(-2*r - r + 2*r) - r - r + 0*r + r + 2*r - r)*(-3*r + 3*r - r) + 4 - 4 + 2*r**2)*(-3*r + 2*r - 11*r). -48*r**3 Expand 17*l**3 - 13*l**3 - 19*l**3 + (-2*l - 2*l**3 + 2*l)*(-5 - 1 + 5) + 0*l**3 + l**3 + 2*l**3 + (-4*l + 4*l + 2*l**2)*(-4*l + 0*l + 2*l). -14*l**3 Expand (4 - 64 + 4)*(-2*b - 2*b - 3*b**3 + 5*b**3). -112*b**3 + 224*b Expand 2*z + 4 - 4 + z - 2*z - 3*z + (-12 - 3 + 3)*(-z + 5*z - 2*z). -26*z Expand -8*q**3 + 7*q**3 - 1 + 2669*q**4 - 2900*q**4 - q**5 + (4*q - 2*q - 3*q)*(4*q**4 - 2*q**4 - q**4). -2*q**5 - 231*q**4 - q**3 - 1 Expand ((-4 + 1 - 6)*(3 - 5 - 1) - 1 - 2 + 2)*(-3*n**2 + 6*n**2 - n**2). 52*n**2 Expand (12*x**3 - 11*x**3 + 5*x**3)*(2*x + 2*x - 2*x) + x**4 - x**4 - x**4. 11*x**4 Expand (0*q + 2*q + 0*q)*(-q**3 + 5*q**3 - 2*q**3) - 2*q**4 - q**4 + 2*q**4 + (-q**4 + 2*q**3 - 2*q**3)*(-1 + 12 + 17). -25*q**4 Expand (-27*p + 80*p + 21*p)*(-p**3 + 1 - 1). -74*p**4 Expand (-16*s**3 - 63*s + 63*s)*(-14*s + 8*s - 3*s). 144*s**4 Expand (3*l - l + 0*l)*(0*l - 2*l + 0*l) + 0 + l**2 + 0 + 81*l**2 - 100*l**2 - 56*l**2 + 2*l**2 - l**2 + 0*l**2. -77*l**2 Expand (23*k**4 - 21*k**4 + 48*k**4)*(-1 - 1 + 1)*(5 - 3 - 1)*(5 - 5 + 2*k). -100*k**5 Expand (-2 + 3 + 1)*(3*t - t + t) + 3 - 3 - 2*t + t + 6*t - 5*t + (-2 - t + 2)*(-1 - 3 + 2) - 3*t - 4*t - 2*t. -t Expand (122*r - 166*r + 104*r + (-6 + 2 + 2)*(6*r + 0*r - 5*r))*(3 - 2 - 2). -58*r Expand (-2025*l**2 - 985*l**2 + 308*l**2 - 452*l**2 + 472*l**2)*(3*l**2 - 5*l**2 - l**2). 8046*l**4 Expand (1 - 100*p + 196*p - 94*p)*(-3*p - 3*p**2 + 3*p). -6*p**3 - 3*p**2 Expand (w - 3*w - w)*(80 - 4*w + 89 + 2*w). 6*w**2 - 507*w Expand (2*q**2 - 3*q**2 + 2*q**2)*(0*q + 0*q - 2*q**2) + 2*q - 2*q - q**4 + (-3*q**3 + 2*q**3 + 0*q**3)*(16*q - 2*q - 4*q). -13*q**4 Expand (-32 - 14 + 2*h - 21)*(2*h**2 - 2*h**2 - 4*h**2). -8*h**3 + 268*h**2 Expand (-4 - 3 - 14)*((-3 - 3 + 2)*(-d - 3*d + 2*d) - 4*d + 3*d - d - d + 6*d - 2*d). -189*d Expand (0 + 0 - 2*h**3)*(5*h**2 - 4*h**2 - 2*h**2) - 3*h**5 + 0*h**5 + 0*h**5 + 2*h**5 - h**5 + 3*h**5 + 122*h**2 - 122*h**2 + 31*h**5. 34*h**5 Expand (6*x + 6*x - 7*x)*(1 - 3 + 1 - 2 - 1 + 2 + (2 + 1 - 1)*(5 + 1 - 5) + 2 - 4 + 1)*(3 - 3 - 4). 20*x Expand (-2*t**2 + 2*t**2 - t**2)*(2 + 0 - 13*t + 23*t). -10*t**3 - 2*t**2 Expand (28 - 12 - 8)*(-152 + 270 - 167)*(0 + 1 + 1)*(3*x**5 + x**5 - 2*x**5). -1568*x**5 Expand (1 - 1 + 3*m)*(1 - 6 - 5) + 1 - 3*m - 1 + m - 1 + 1. -32*m Expand (-2 + 3 - 6)*(7 + 15 + 3*t - 10). -15*t - 60 Expand 3 - q**2 - 3 + (q - 3*q + 3 + q)*(-3*q + 3*q + 2*q). -3*q**2 + 6*q Expand -4*h**5 + 4*h**5 - h**5 + (-3 - h**3 + 3)*(4 - 4*h**2 - 9*h + 9*h). 3*h**5 - 4*h**3 Expand (17*p - 113*p - 183*p)*(-1 + 4 + 0)*(-2*p + 5*p - p). -1674*p**2 Expand (-2*o + 2*o - 9*o)*(4*o + 6 - 5 - 5). -36*o**2 + 36*o Expand (0*d - d + 0*d)*(-9*d**3 + 4*d**3 + 8*d**3)*(3*d - 6*d + 5*d) - 2*d**5 + 0*d**4 + 0*d**4. -8*d**5 Expand ((-1 - 2 + 2)*(-3*x + 0*x + x) - 62 + 80 - 4*x + 7*x)*(-x - 2*x + 2*x). -5*x**2 - 18*x Expand (5*z - 4*z - 2*z)*(1 + 2*z - 1) - 2*z**2 - 43*z + 0*z**2 + 14*z. -4*z**2 - 29*z Expand (9 - 14 - 33)*(-2 + 0 + 4)*(-5*c + 3*c + c)*(-c + 2*c - 2*c). -76*c**2 Expand (5*z - 5*z + 5*z)*(5*z - 3*z + 0*z)*(12 + 1 - 25) + 2*z**2 + 3*z**2 - 4*z**2. -119*z**2 Expand (20*m**3 - 4*m**3 + 3*m**3)*(-13*m + m + 11*m). -19*m**4 Expand (0 + 0 + r**2)*(441*r - 441*r + r**3). r**5 Expand -2*t**3 - t**3 + 4*t**3 + (-5*t - 2*t + 2*t)*(-4*t**2 + 2*t**2 + t**2). 6*t**3 Expand 681*p**5 - 225*p**4 + 225*p**4 + p**5 + 5*p**5 - 5*p**5 + (-p + 1 - 1)*(-3*p**2 + 3*p**2 - p**4). 683*p**5 Expand (6*o - 11*o - 6*o)*(-o**2 + 6 + 9 - 5) + (-5*o + 2*o + 2*o)*(2*o**2 - 10*o**2 + 7*o**2). 12*o**3 - 110*o Expand 5*f**4 - 5*f**4 + 30*f**4 + (-2*f + 0 + 0)*(0*f**3 + 4*f**3 - 2*f**3) + (2*f + 2*f + 0*f)*(-4 + 3 + 0)*(-2*f**3 + f**2 - f**2). 34*f**4 Expand (25*y + 31*y + 60*y)*(-4*y**3 + 4*y**3 + y**4 + (-y**3 + y**3 + y**3)*(-y + y - 2*y) - 2*y**4 - 3 + 3). -348*y**5 Expand (n - 3*n + 6*n)*(-20*n**2 + 45*n**2 - 23*n**2 - 28*n). 8*n**3 - 112*n**2 Expand 3*u**3 + 2*u**3 + 3*u**3 + (-3*u + 2*u + 0*u)*(-4 + 4 - u**2) - 2*u**3 - u**2 + u**2 + (u**2 - u + u)*(0 + 3*u + 0) + 0*u**2 + 0*u**2 - 2*u**3. 8*u**3 Expand (-k - 2*k - 2*k)*(10 - 2 + 0)*(-5 + 1 - 2)*(-4 + 4 + 1). 240*k Expand (-4 - 9941*x + 7379*x + 4)*(0*x - 4*x + 3*x). 2562*x**2 Expand (-6 + 0*l + 5 - 7*l)*(-5*l**2 + 2*l**2 + l**2)*(2*l**2 - 5*l**2 + 4*l**2) + (-224*l**3 + 224*l**3 + l**4)*(-3*l - l + 5*l). 15*l**5 + 2*l**4 Expand 344*k**2 + 583 - 583 - 2*k + 2*k - k**2 + (0 + 2 - 3)*(2*k**2 + k**2 - 2*k**2) - k**2 + 0*k + 0*k. 341*k**2 Expand (2*j**2 - 3*j**2 - j**2)*(0*j + j + j) + 0*j**3 - 2*j**3 + 4*j**3 - 290*j**3 + 20*j**2 - 20*j**2 + 2*j**3 + 0*j**2 + 0*j**2. -290*j**3 Expand (-3*t**3 - 3*t**3 + 5*t**3)*(2*t**2 + 0*t + 0*t) - 4*t**5 + 2*t**5 - 5*t**5 + (4*t**3 + t**3 - 3*t**3)*(0 + t**2 + 0). -7*t**5 Expand -44*a + 4*a - 51*a + (-3*a + 0 + 0)*(-2 + 1 - 1). -85*a Expand 2*z**2 - 2*z**2 + 3*z**2 - z**4 + (-391*z + 454*z - 368*z)*(3*z**3 - z**3 - 4*z**3). 609*z**4 + 3*z**2 Expand (415*s**2 - 415*s**2 - 50*s**4)*(-2 + 5 - 2*s - 1). 100*s**5 - 100*s**4 Expand (3 + 2*b**2 - 3)*(-4 + 1 + 5) - 2*b**2 - 2*b**2 + 3*b**2 - 2*b**2 - b + b + (1 - 3*b**2 - 1)*(16 - 42 + 17) + (-2*b + 2 - 2)*(-1 + 1 + b). 26*b**2 Expand (47 - 23 - 26 + 30*m)*(-4*m + 1 - 1)*(2 - 2 + m). -120*m**3 + 8*m**2 Expand (-6 + 3*y**2 + 6)*((15 - 15 + 6)*(4 - 4 - 1)*(3 - 2*y - 3) + 0 + 0 - 2*y). 30*y**3 Expand (-l**3 - 9*l**3 - 6*l**3)*(-1 + 0 - 1)*(-2 + 0 + 5). 96*l**3 Expand (-3*h + 5*h + 0*h)*(-14*h + 31*h - 4*h)*(0 - 5 + 3)*(-3*h + 0*h + 4*h). -52*h**3 Expand -2*b**2 - 17*b**3 - b**5 + 17*b**3 + (2*b + 1 - 1)*(-5*b**4 + 10*b**4 + 8*b**4). 25*b**5 - 2*b**2 Expand (-2*a - 2 + 2 + 5)*(-12*a**3 - 9 + 14 - 7). 24*a**4 - 60*a**3 + 4*a - 10 Expand -a**4 - 12 - 4*a**4 + 6*a**4 + (-8 + 8 + 2*a)*(-2*a**3 + 0 + 0). -3*a**4 - 12 Expand (-60 + 9*j**2 + 60 + 0*j**2 - 2*j**2 + 0*j**2 + (2 - 2*j**2 - 2)*(-1 + 0 - 1) + 2*j**2 + 0 + 0 + j**2 + 1 - 1)*(-5*j**3 + 0*j**3 + 3*j**3). -28*j**5 Expand (-4 + 2 + 1)*(0*n**2 + 0*n**2 - 2*n**5) + (-13*n + 13*n - 6*n**2)*(4*n**3 + 0*n**3 - 2*n**3)*(-1 - 4 + 1). 50*n**5 Expand (16*h - h - 4*h)*(1 - 3 + 3 + (-4 + 1 + 2)*(0 + 0 + 2) - 3 - 1 - 5). -110*h Expand (28 - 6 + 39)*(13*h + 1 - 5*h - 3*h). 305*h + 61 Expand (0*u + 0*u + 6*u - 4*u + u + u + 2 - 2 + u + (2*u - 2*u + 2*u)*(-1 + 2 - 2))*(66 + 57 + 1)*(-u**3 - 2 + 2). -372*u**4 Expand -3*r**4 + 12*r**4 + 2*r**4 + (2*r**2 - 2*r + 2*r)*(-4 + 4 + 2*r**2) - 2*r**4 - r**4 + 2*r**4 - 113*r**2 + 113*r**2 - 10*r**4. 4*r**4 Expand (-2 - 1363*m - 1371*m + 2675*m)*(-10*m**2 + 3*m**2 - 3*m**2). 590*m**3 + 20*m**2 Expand -2*j**5 + j**5 + 0*j**5 + (2 + 1 - 1)*(3*j**2 - 3*j**2 - 3*j**5) + j**5 + 0*j**5 - 3*j**5 + 5*j**5 - 3*j**5 + 5*j**5. -2*j**5 Expand 1 - 1 + d - d + 2*d + d + (8 - 8 - 7)*(0*d - 4*d + 2*d) - 5*d + d - 2*d - 4*d + 3*d + 3*d. 13*d Expand (3 - 1 - 4 + 5*r**2)*(56*r + 45*r - 37*r). 320*r**3 - 128*r Expand (0 + 4 + 1)*(-4 + 6 + 5)*(-1 + x**2 + 3*x**5 - 3*x**2 - 2*x**5). 35*x**5 - 70*x**2 - 35 Expand (-13 - 2 - 31)*(d + 2*d - 5*d). 92*d Expand (-m**4 - m**4 - 3*m + 0*m**4)*(-9 + 19 - 15). 10*m**4 + 15*m Expand (-1 - 2 + 10)*(-b - 4*b + 4*b)*(4*b - 2*b - 12*b). 70*b**2 Expand -71*w + 85*w**2 + 71*w + 112*w**2 + (0*w + 4*w - 5*w)*(6*w - 3*w - w). 195*w**2 Expand (-5 - 1 + 4)*(-2 + 54 - 7)*(2 + 3*i - 2)*(4*i - 2*i - 3*i). 270*i**2 Expand (-24*i - 29*i + 28*i)*(2 - 2 - i). 25*i**2 Expand 5*c**4 - 2*c**4 - c**4 + (31*c + 19*c - 19*c)*((-4 + 2*c + 4)*(-1 + 3 + 0) + 2 - 2*c - 2)*(-3*c**2 - 4*c**2 + 6*c**2). -60*c**4 Expand (0 + 2*o**2 + 0 + (-3 + 3 - 2*o)*(2*o - 7*o + 2*o))*(-2*o**2 + 4*o**2 + 21*o**2). 184*o**4 Expand (-o + 2*o - 2*o)*(o - o + 2*o) + (-151 - 111 + 308)*(0 + 0 - 2)*(-2*o**2 + 2*o**2 - o**2). 90*o**2 Expand (-2 + 0 + 1)*(2 + 0 - 3)*(14*j + 563 - 563) - 7*j - 26 + 26. 7*j Expand -2*m**3 - m**3 + 2*m**3 + (2*m**3 + 4*m**2 - 4*m**2)*(-1 + 4 - 1) + 2*m + m**3 - 2*m - 3 + 3 + 2*m**3 - 2*m**3 + 0*m**3 + 0*m**3 - 793 + 46*m**3 + 793. 50*m**3 Expand ((2*m + 0 + 0)*(4 - 1 - 5) - 3*m - m + 3*m - 4 + 4 - 4*m + (0 + 2 - 1)*(4*m - 2*m - 4*m) - 51*m + 75*m + 75*m)*(-4 + 2*m + 4)*(5*m**3 - 2*m**3 - m**3). 352*m**5 Expand (d**2 + 2*d**2 + 3*d**2)*(-104*d + 4497 - 4497). -624*d**3 Expand (5*v**3 - 5*v*
{ "pile_set_name": "DM Mathematics" }
- 2. Let b = 10764 - 10762. Sort 4, h, b, 0 in descending order. 4, b, h, 0 Let y = 141243/41 + -3445. Put -0.5, -3, y in increasing order. -3, -0.5, y Suppose 0 = 10*x - 8 - 52. Suppose 6*u = 3*u + 12. Suppose -p - u*l = -4*p + 27, -4*l + 13 = 5*p. Sort p, -4, x in descending order. x, p, -4 Suppose 0 = -14*k - 26 + 54. Let m = 28 + -27. Sort k, 5, m, -10 in descending order. 5, k, m, -10 Let z be -1*(-6)/3 + 240/(-90). Let m be 2/6*-3*3. Sort 1, z, m, -5 in ascending order. -5, m, z, 1 Let a = -42 - -45. Let t = 593.9 + -594. Sort -2.6, a, 0.5, t in increasing order. -2.6, t, 0.5, a Let q(p) = -2*p + 4. Let a be q(3). Let k = -3.17 + 2.57. Sort 7, a, k in decreasing order. 7, k, a Let i be -2 - ((-35)/(-3))/(-5). Suppose -h + 4 = -5*h. Let p be (h + 2)*0/((-6)/2). Put p, i, -4 in ascending order. -4, p, i Let x(r) = r**2 - r - 33. Let h be x(6). Let n = -52 + 56. Let c be (4/8*-4)/2. Sort 2, h, n, c. h, c, 2, n Suppose -5*y - 4*l - 3 = 16, -2*l - 17 = -5*y. Let j = -18 + 13. Sort -18, 2, y, j in ascending order. -18, j, y, 2 Let h(f) = f**2 + 38*f - 877. Let a be h(16). Sort a, 24, -1, 4 in ascending order. a, -1, 4, 24 Suppose -l + 25 = 4*l + 3*g, -2*g - 25 = -5*l. Let r = -166 - -166. Suppose -2*c = 2*c - 2*w - 16, -8 = -2*c - 3*w. Sort r, l, c. r, c, l Let r = 0.11546 + -124.11546. Sort 0.05, 3, r in descending order. 3, 0.05, r Suppose -364 = 13*c + 52. Let a = 37 + c. Put 4, -6, a, -2 in descending order. a, 4, -2, -6 Let q be 1 + (1 - -2) + 4. Suppose 0 = -5*g + q*g. Let k be (96/102)/8 + (-49)/(-17). Sort g, -3, k. -3, g, k Suppose -q - c + 13 = 0, 2*q + 1030*c = 1035*c - 2. Suppose -x = -2*o + 5, 5*x + 0*x + o = 8. Put x, q, 4, 0 in decreasing order. q, 4, x, 0 Let s = -11170 + 10836. Put s, -3, -2 in ascending order. s, -3, -2 Let l = 5302 + -5305. Put -0.2, l, -2, -4.6 in descending order. -0.2, -2, l, -4.6 Let m = 8 - 10. Let i = m + 2.5. Let b = -0.133 + -0.137. Sort i, -0.4, b. -0.4, b, i Let l = -106.78 + 106.28. Put 5, -19, l, 0.2, 4 in increasing order. -19, l, 0.2, 4, 5 Let y(s) = 476*s - 6187. Let l be y(13). Sort l, 0, -81, -2, -4 in descending order. l, 0, -2, -4, -81 Let u be (11*6/6)/(8 + 57/(-7)). Put u, -1, 6, 3 in descending order. 6, 3, -1, u Suppose 5*r + 39 = 29. Let c be (-8*(-3)/(-9)*-3)/r. Let n be (-4599)/(-357) + c/(-34). Sort 1, n, 5, -5 in increasing order. -5, 1, 5, n Let l(h) = -h**2 + 31*h + 141. Let o be l(35). Sort -23, 2, 3, o in decreasing order. 3, 2, o, -23 Let l(d) be the second derivative of d**4/12 - 5*d**3/2 + 21*d**2/2 + 16*d. Let s be l(14). Suppose -s*r + 4 = -24. Put 1/2, -6, r in ascending order. -6, 1/2, r Let r = -7/626 + 1287/3130. Sort -0.1, -351, r, -2/11 in increasing order. -351, -2/11, -0.1, r Let h = 783.2 - 778.2. Put h, 2/9, -1/2, -1, -3 in decreasing order. h, 2/9, -1/2, -1, -3 Suppose -x + 3*b = -9, 36*x - 25*x = -3*b - 117. Sort -2/29, 0, -4, 1, x in descending order. 1, 0, -2/29, -4, x Suppose 4 = 3*m - 11. Suppose 4*t = -3*x - 2, -x + 2*x - 3 = -m*t. Let h = -3 + 7. Sort x, -12, h in increasing order. -12, x, h Let q = 2713 - 2715. Let l = -4 + 4.3. Let s(k) = k + 1. Let z be s(1). Put z, -0.4, l, q in increasing order. q, -0.4, l, z Let w = 473 - 499.6. Let d = w - -23.6. Sort -0.1, 2/13, -3/11, d in ascending order. d, -3/11, -0.1, 2/13 Suppose -19 = -x + 4*f, -60*f - 31 = -5*x - 56*f. Let t(i) = -i**3 - 12*i**2 + 13*i + 14. Let s be t(-13). Sort x, s, 5 in descending order. s, 5, x Suppose 5*n - 4*q + q = -287, q - 59 = n. Let f be ((-8)/(-5))/((-22)/n). Put 2/37, -5, 6, f in ascending order. -5, 2/37, f, 6 Suppose y = 3*q - 36, -y + 0*y - 4*q - 50 = 0. Let p be (56/(-24))/(2/y). Let k be ((-126)/p)/(-9) + 66/14. Put 2, 4, k, -1 in ascending order. -1, 2, 4, k Let a = 5 - 7. Let l be (-3537)/(-189) - (0 - 4/14). Suppose -28*w = -l*w. Sort a, w, 2 in decreasing order. 2, w, a Suppose 49 = -3*m + 4*f, 2*m + f = 886 - 904. Sort 1, m, -5, 13 in decreasing order. 13, 1, -5, m Let c(q) = -2*q**2 + 8*q + 4. Let w be c(5). Let g be 2/(-4)*4/w. Put 0.2, -3, -27, g in increasing order. -27, -3, 0.2, g Let n = -165906 + 169224161/1020. Let i = n + 1/102. Sort 1/4, -1, i in decreasing order. 1/4, i, -1 Let p be 0*(1 + 0 - 0/(-6)). Suppose 4*s = 4*v + 20, -2*s + 0*v + v + 9 = 0. Let i = 10 - 14. Sort i, p, 1, s in ascending order. i, p, 1, s Let k = -66 + 51. Let d = -10.1 - k. Let f = -5 + d. Put 1/6, -3, -1, f in descending order. 1/6, f, -1, -3 Let n = 1.3 - 13.3. Let u = 1680786 - 1680785.8. Sort n, u, 3, -0.5 in ascending order. n, -0.5, u, 3 Suppose b + 24 = 5*o + 48, 2*o - 4*b + 24 = 0. Put 0, o, -1244, -1 in descending order. 0, -1, o, -1244 Let v = 0.07 + -0.12. Let f = v - -0.15. Let u = 769/8 - 96. Put u, f, 3 in decreasing order. 3, u, f Let v = -143.1 - -143. Sort v, -0.19, 2/7, -5 in decreasing order. 2/7, v, -0.19, -5 Let t be -9 + 388 - 0/2. Suppose 207 = 3*d + q - 82, 5*q + t = 4*d. Suppose 0 = 4*g - g + d. Sort -5, 0, g in decreasing order. 0, -5, g Suppose 380*j = 408*j + 112. Let m = 40 + -37. Let h = 0 + -2. Sort m, j, h, 0.1 in decreasing order. m, 0.1, h, j Suppose 42*p = -440 + 1112. Let h = 2 + 3. Put -3, p, -1, h in decreasing order. p, h, -1, -3 Let z = -6 + 5. Suppose 61*b + 175*b = 2124. Sort -0.1, -1/6, b, z in decreasing order. b, -0.1, -1/6, z Let z = 6460 + -6459.7. Sort -7, -0.5, -5, z, 4. -7, -5, -0.5, z, 4 Let m(l) = 19*l - 32. Let d be m(-4). Let g = -147 - d. Put -1, g, -5, 0 in increasing order. g, -5, -1, 0 Let i(w) = -w**2 + 67*w - 82. Let l be i(66). Sort -5, -2, -25, l, 3. -25, l, -5, -2, 3 Let g = 0.109 + -0.389. Let l = 1/138 + 61/46. Put g, l, 2/5 in increasing order. g, 2/5, l Let c = -135 + 68.5. Let k = c - -67. Sort 2/3, 4, k, -11. -11, k, 2/3, 4 Let h(p) = 14*p**2 + 73*p - 3224. Let u be h(-18). Let y(q) = -2*q**2 + 7*q + 4 + q**3 + 9*q**2 - 1. Let m be y(-6). Sort u, m, 2. m, u, 2 Suppose 41*b = 46*b + 2120. Let j be (b/64 - -6)*2/10. Sort -10, 0.01, j in decreasing order. 0.01, j, -10 Let v = -6918 - -6891. Sort 0, -0.5, v, 2/9, -0.4 in increasing order. v, -0.5, -0.4, 0, 2/9 Let s = 1.79 + -51.79. Let l = s - -50.8. Put -1, -4, l in increasing order. -4, -1, l Suppose -919*t + 920*t = 4*c - 122, 3*c = -t - 143. Put -4, t, 19 in increasing order. t, -4, 19 Suppose 215*q + 20 = 205*q. Let f(x) = 5*x - 1. Let l be 4/1*(-2)/(-4). Let b be f(l). Sort 1, q, b. q, 1, b Let k = -264.3 + 265.3. Put 10, k, -1/4, 2, 0.3 in decreasing order. 10, 2, k, 0.3, -1/4 Let m = 16276 + -16276. Let v = -18 + 14. Sort m, -1, v, -7 in descending order. m, -1, v, -7 Suppose -g - 4*a - 30 = 0, 3*a = 4*g + 2*a + 35. Let y be (g/(-4))/((-3)/(-6)). Suppose -5*u + k = 4, 2*u + 26 = u - 4*k. Sort y, 3, u in increasing order. u, 3, y Let q = -2620 - -2527. Sort 0, 5, 4, q, -4 in decreasing order. 5, 4, 0, -4, q Let v be 3/27 - (-1)/3. Let z = -2475 - -2484. Sort v, -0.1, z. -0.1, v, z Suppose -9*v + 6 = -14 + 47. Sort -43, v, -4, 2 in descending order. 2, v, -4, -43 Let k = 73 + -509/7. Suppose -10 = -3*w - 55. Put k, w, -4 in ascending order. w, -4, k Let x = -7421 + 21598/3. Let l = -221 - x. Put -5, l, 2, 5 in descending order. 5, 2, l, -5 Suppose 5*q = -2*g - 11, 3*q = 2*g - 5*g - 39. Sort -0.4, -8, g in ascending order. g, -8, -0.4 Let k = 5 + -2. Suppose -98 = -2*r + 4*f, k*r + 229 = 8*r - 2*f. Suppose 47 = -2*a + r. Put a, 0, -5 in descending order. 0, a, -5 Let j be 4/(-16)*(-2 - -54). Put j, -1, 70 in ascending order. j, -1, 70 Suppose 2*k - 4 = 4*k + 2*j, 2 = 3*k + j. Suppose 4*m - r = -2*r - 8, -4*m = 3*r + 8. Sort k, m, -5 in decreasing order. k, m, -5 Let p = 1375 - 886. Let q = 497 - p. Put -2, q, 3/4 in increasing order. -2, 3/4, q Suppose 0 = -4*k - u, -3*u - 7 = -5*k - 6*u. Let o = 23.502 - 23.702. Sort 0.05, k, -4, o in ascending order. -4, k, o, 0.05 Let a(x) = 216*x - 97. Let s be a(-1). Let j = 1 - 0. Sort 1/5, s, j in descending order. j, 1/5, s Suppose -5*b + x - 4*x + 6 = 0, 5*b + 5*x = 10. Suppose -11 = -5*m + d - 2*d, 2*m - 5*d - 26 = b. Suppose -26 = -9*q + 10. Sort q, m, -0.4, 20. -0.4, m, q, 20 Let s = -3225 + 3423. Sort 1, s, 4, 2 in increasing order. 1, 2, 4, s Let m(l) = -l**3 - 15*l**2 + 19*l + 47. Let v be m(-16). Put 4, -4, v in decreasing order. 4, v, -4 Let w = -2165 - -2170. Sort -43, w, -5 in descending order. w, -5,
{ "pile_set_name": "DM Mathematics" }
2*p = p + 13, -2*h - q = 4*p. Put 7, h, 1/7 in increasing order. 1/7, h, 7 Let t(f) = f**2 - 6*f - 8. Let b be t(7). Sort 0.1, b, 1/4 in descending order. 1/4, 0.1, b Let w be 48/315 - 6/(-45). Put -3, w, -1 in descending order. w, -1, -3 Let x(o) = o**2 + 4*o. Let b be x(-3). Let w = -2.2 - -0.2. Let m = 2 - 2. Put b, m, w in increasing order. b, w, m Let l = -4 + -3. Let r = l - -7.4. Put r, 0, 5 in decreasing order. 5, r, 0 Suppose -2*z = 3*y - 5*y - 46, 0 = 5*z - y - 99. Sort 4, z, -5 in descending order. z, 4, -5 Let r(z) be the first derivative of z**4/4 + 5*z**3/3 + 2*z**2 + 3*z - 1. Let k be r(-4). Let l = -8 + 6. Sort k, 5, l in decreasing order. 5, k, l Suppose 0*k = 3*k - 21. Let o(f) = f - 3. Let x be o(k). Put 5, x, 1 in increasing order. 1, x, 5 Let g = -75 + 73. Sort -1, 2, g in decreasing order. 2, -1, g Let d be (20/(-8))/((-1)/2). Suppose d*j + 5*i - 160 = 0, 0*i = 2*j - 2*i - 48. Let w be 0/(-1) + 16/j. Put w, 4, -3 in ascending order. -3, w, 4 Let c be (-6)/14 - (-3)/((-21)/(-10)). Put c, -4, -5 in descending order. c, -4, -5 Suppose -5 = 6*c + 19. Put -3, c, -2 in decreasing order. -2, -3, c Suppose 0 = -4*r - 5 - 7. Sort -5, 1, r in ascending order. -5, r, 1 Let a = 0.06 - -4.44. Let h = -4 + a. Let l = 1.92 + -1.9. Put h, -0.1, l in increasing order. -0.1, l, h Let h(k) = -k - 7. Let o be h(-3). Let j = 0.2 + -0.4. Let b = 0.3 - j. Sort o, b, 0.3. o, 0.3, b Suppose 2*s = 8*s + 18. Suppose 4*w = 7 - 23. Put w, s, 2 in decreasing order. 2, s, w Let w be 26/(-14) - (-6)/3. Sort w, 2, -0.2, -2/9 in decreasing order. 2, w, -0.2, -2/9 Suppose -9 = 3*h, h - 2 = 5*r + 10. Let t = 98 - 96. Sort t, -5, r in descending order. t, r, -5 Let r be (-2)/(2/30*-3 + 1). Put -4/7, r, -31 in decreasing order. -4/7, r, -31 Suppose 0 = 3*q + r + 7, 3*q = r - 0*r + 1. Let y be -13 + 10 + (7 - 1). Put 1, y, q in increasing order. q, 1, y Let t = -34 + 16. Put 0.4, t, 4 in decreasing order. 4, 0.4, t Let u = 17 - 12. Let f = -1 + 1. Suppose 2*v - 8 + 0 = f. Put 3, u, v in decreasing order. u, v, 3 Let n = -124 - -125. Let j be (-5)/(-2)*(-4)/(-2). Sort -5, n, j in ascending order. -5, n, j Let l = 163 - 191.6. Let i = -26 - l. Let r = 0.4 + i. Put 0, r, 4 in descending order. 4, r, 0 Let s = -9 - -5. Suppose 3*l + 2*l = -5. Let p be ((-30)/(-24))/((15/12)/(-5)). Sort l, s, p in ascending order. p, s, l Let c be (32/(-6))/(-2)*3. Suppose -3*b + c = -b. Put -8, 1, b in decreasing order. b, 1, -8 Let q be (-1 + 4/(-12))*-12. Put -3, q, -4 in increasing order. -4, -3, q Let z = -0.7 - -1. Let s = -0.27 + 2.27. Let d(u) = -2*u - 4. Let g be d(-4). Sort z, g, s in ascending order. z, s, g Suppose -5*d + 5 = -5. Suppose 0 = -7*r + 3*r + 12. Suppose w - 3*u = u + 13, 3 = -r*w - 2*u. Put -5, d, w in descending order. d, w, -5 Let z = 0.5 - 0.3. Let j = 1.3 + -0.5. Let f = j + -1.3. Put f, -4, z in descending order. z, f, -4 Let r = -3 - -8. Suppose -r*c = 16 + 4. Let t = -2 + 0. Put t, 3, c in decreasing order. 3, t, c Let h = 44 + -25. Let z = h - 14. Let p(j) = j - 6. Let y be p(5). Sort z, y, -2 in decreasing order. z, y, -2 Let g = -26 + 21. Sort g, -3, 3 in increasing order. g, -3, 3 Suppose -4*w = -c + 4, -2*c - 2*w + 7 = -1. Put c, 1, 3/7, -2/13 in decreasing order. c, 1, 3/7, -2/13 Suppose -5*i - 19 = -2*z, 13*z = 8*z - 15. Let p be 0/(0 - (-1)/(-1)). Suppose b - 2*b + 4 = p. Put i, -4, b in ascending order. i, -4, b Let s = 3 - -3. Put s, -2, 2 in decreasing order. s, 2, -2 Let d = 0.03 - 4.03. Put d, 0, -0.01 in descending order. 0, -0.01, d Let n = -31 - -30.89. Put n, 4/3, 0 in descending order. 4/3, 0, n Let f = 215 + -214. Put f, 0, -2 in descending order. f, 0, -2 Let r = 5/38 + 7/19. Put 1, 0.3, r in ascending order. 0.3, r, 1 Let p = 5.2 + -5. Put -4, 1/14, p in descending order. p, 1/14, -4 Let r = -11 - -16. Let u = 67 - 539/8. Put -2, u, r in decreasing order. r, u, -2 Let k(p) = -p**2 - 9*p - 13. Let u be k(-7). Sort u, 2, 8, 4 in descending order. 8, 4, 2, u Suppose 2*o - 2 + 7 = -5*x, 4*o = 5*x - 25. Let j = 8 - 5. Suppose 5 - j = i. Sort i, o, -4 in ascending order. o, -4, i Let s = 0.12 + -0.52. Let h = 3/14 - 1/2. Put h, s, 0.3 in ascending order. s, h, 0.3 Let n = -3.7 + 0.7. Sort 3/7, n, -5 in ascending order. -5, n, 3/7 Suppose -2*l + 4*l - 4*h + 8 = 0, -2*h = -2. Suppose -5*m + 3 + 9 = w, 0 = 2*m - 3*w + 2. Sort l, 0, m in increasing order. l, 0, m Let h = -7.6 - -4. Let y = -0.6 - h. Let p = -3.2 + y. Sort -1, p, -0.4 in increasing order. -1, -0.4, p Let c = 7.2 - 0.2. Let q = c - 11. Let a = 3 + -3.5. Put q, -2, a in descending order. a, -2, q Let k be (1 - -7) + -2 + -2. Let i be 6*(k/3 - 1). Let z be 2 - (i + -4 - -3). Sort 2, z, -3 in descending order. 2, z, -3 Let n be (-9)/6*4/6. Sort n, 3, 5 in ascending order. n, 3, 5 Suppose 3 = 2*k - 3*k. Let w = 8 + k. Let f be (-4)/18 + (-8)/(-9). Sort -0.1, w, f. -0.1, f, w Let a(j) = -2*j**3 - j**2 - j + 2. Let f(x) = -x**3 + x + 1. Let q(k) = a(k) - 3*f(k). Let z be q(3). Sort -2/9, -2, z. -2, -2/9, z Let k(x) = x - 1. Let b be k(1). Let j = -50 - -51. Sort -4, b, j in increasing order. -4, b, j Let j = -6/5 + 28/15. Let k = -2.6 - -3. Let d be 2/(-6) + 7/12. Sort k, j, d in descending order. j, k, d Let l be (-1)/(-4) + 1/(-4). Suppose l*r = -2*r + 12. Let h = 33 - 31. Put -3, h, r in descending order. r, h, -3 Let m = -3.7 - -4. Let t = 29 - 41. Let b be (-4)/12 + 2/t. Sort m, -0.4, b in ascending order. b, -0.4, m Let p = 15/4 + -4. Sort -2, 4, p in ascending order. -2, p, 4 Let f = -0.3 + 0.1. Let o = f + 0.3. Let a = 4 + -5. Put a, -0.1, o in ascending order. a, -0.1, o Suppose 0*o = 3*o - 9. Suppose 5 - 20 = o*r. Sort 3, r, 2 in descending order. 3, 2, r Let x = -625 - -630.82. Let u = x + -5.4. Let k = 0.02 - u. Sort 3, 4, k in descending order. 4, 3, k Let g = -3.5 - -4.5. Sort g, 0, 0.1. 0, 0.1, g Suppose 0 = -f + 4*h - 2, 1 = f + h + 3. Let i = f - 0. Let q be -5*i/(-4)*2. Put 1, 3, q in ascending order. q, 1, 3 Let t(s) = -s**2 - 7*s - 8. Let b be t(-6). Suppose -5 = -3*w - 20. Suppose 0 = c - 3*j, 3*c + 5 = 2*j - 2. Sort c, w, b in ascending order. w, c, b Suppose 5*p + 4 = -3*c - 1, -4*c - 18 = p. Put p, 3, -2 in ascending order. -2, p, 3 Let i = -6 - -5.5. Sort 2, 4, -4/5, i in ascending order. -4/5, i, 2, 4 Let w be 44/12 - 2/3. Suppose -10 = -i + 2*j, w*i + 0*j = -2*j + 6. Sort 0, -3, i in decreasing order. i, 0, -3 Let t = -6.01 - -0.01. Sort -2, 2, t in increasing order. t, -2, 2 Let u = -50 + 53. Put -5, u, -6, -1 in decreasing order. u, -1, -5, -6 Suppose 4*c - 80 = 24*c. Put -13, -1/4, c in decreasing order. -1/4, c, -13 Suppose 0*m - 5*m - 3*w = -35, -2*w + 6 = -m. Let v be (0/(-3))/(m + -6). Let n = -10 - -5. Sort v, 2, n in descending order. 2, v, n Let k = -8 - -10. Let s be (-256)/(-44) + k/11. Let x be s/(-27) - 7/9. Sort x, 4, 0 in increasing order. x, 0, 4 Let j = -27 + 31. Sort -3, -0.3, j in descending order. j, -0.3, -3 Let k = 32 - 32.31. Let g = k + -0.09. Sort g, -1, -5. -5, -1, g Suppose 0*v = -5*v + 5. Suppose 0 = 3*h + 1 - 34. Suppose h*r = 7*r - 4. Sort -5, v, r in descending order. v, r, -5 Let w = -8.462 + -1.158. Let h = 1.92 + w. Let p = h + 8. Sort p, 3/4, 1/2 in decreasing order. 3/4, 1/2, p Let c = -0.57 + 5.57. Sort c, 1/2, 0.3. 0.3, 1/2, c Let q be 2/(-4) - 38/(-4). Suppose -q*o - 14 = -4*o - g, 0 = -4*o - 4*g + 8. Suppose 4*i + 1 = 13. Sort i, o, -1 in decreasing order. i, -1, o Suppose 5*j - 2*h - 14 = 0, -3*j - 2*h + 6 = 2*j. Sort 1, 4, -4, j in decreasing order. 4, j, 1, -4 Suppose 4*f = f - 4*h + 33, 3*f - h - 18 = 0. Let v = f + -8. Put 5, 4, v in decreasing order. 5, 4, v Let u = 6 + -9. Let a = u + 0. Put a, 3, -1 in decreasing order. 3, -1, a Let t(g) = g + 1. Let c be t(-1). Let u(h) = h**2 + 3*h + 1. Let i be -5 - (-3 - (-8)/4). Let o be u(i). Sort c, o, 0.5 in decreasing order. o, 0.5, c Let o be 6/27*(-12)/8. Put o, 5, 0.4 in decreasing order. 5, 0.4, o Let c = -0.14 - -0.14. Sort -5, c, 1.2. -5, c, 1.2 Suppose 3*a = 2*a. Suppose n + 5*u - 8 = 0, 5*n - 5*u - 9 - 1 = 0. Put 2, a, n in descending order. n, 2, a Let i = 1.2 + -1. Let a = 0.7 - i. Let p = 2/453 - 304/453. Sort -2/15, p, a in ascending order. p, -2/15, a Suppose -4*s - 2*s = 6. Put -4, s, 3 in descending order. 3, s, -4 Let w be 1 + 1 + (2 - 1). Su
{ "pile_set_name": "DM Mathematics" }
i. -2 Rearrange (-4*u + 3 - 3)*(-2*u + 15 - 2*u**3 - 15) to r*u**2 + d*u**3 + f*u**4 + i*u + x and give f. 8 Express -2 - 14 + 29*n**3 - n**2 - 30*n**3 in the form s*n**2 + b + j*n**3 + p*n and give b. -16 Rearrange 3*r**2 + 26 - 3*r + 26 - 50 to the form z*r + m + g*r**2 and give z. -3 Express q - 7 + 25 - 2*q as x + d*q and give d. -1 Express (0*i**2 + 3*i**2 - 2*i**2)*(-6*i + i + i) + 3*i - 4 + 2*i**3 - 3*i as s*i**3 + q*i**2 + f + u*i and give s. -2 Express m + 0 + 13*m**3 + 0 + 2*m**2 - 9*m**3 in the form z*m + j*m**3 + g + f*m**2 and give j. 4 Express 20*v + 16 - 16 as z*v + l and give z. 20 Express (1 + 0 - 3)*(2 + 1 - 1)*(-34*s - 100 + 100) in the form i + m*s and give m. 136 Express 0 + 2*f**3 - 16 - 2 + 2*f**4 as m*f**4 + q*f**3 + h + w*f**2 + d*f and give h. -18 Express -3*u**4 - 1 + u**4 + 8*u**2 + u**3 - 1 + 9*u**2 in the form d*u**2 + r*u**3 + v + l*u + n*u**4 and give n. -2 Express 18*i**3 + 3 - 20*i**3 - 4 - 2*i in the form x*i**3 + p*i + c*i**2 + o and give p. -2 Rearrange -7*v**2 + 6 + 8*v**2 - 4*v**2 to the form p + c*v**2 + w*v and give p. 6 Rearrange 25*q - 38*q - 33*q to the form l + g*q and give g. -46 Rearrange 2*b - 4*b + 2*b + 3*b to u*b + k and give u. 3 Express 4*f - 18 + 18 + 4*f**3 as l*f**2 + s*f**3 + w*f + k and give w. 4 Express -2*z - 3*z + 6*z + (1 + 2 - 2 + (-2 + 1 - 1)*(0 + 2 + 0) - 3 - 1 + 3 - 2 - 2 + 3)*(-3*z - z + 3*z) in the form f + p*z and give p. 6 Rearrange -3*i - i - 6*i to o + r*i and give o. 0 Rearrange 1 - s + 0*s - s + (2*s - 3*s - s)*(2 - 5 + 2) + s - 3*s + 3*s to the form h*s + n and give h. 1 Rearrange -6 + 10*z**2 - 22*z**2 + 17*z**2 to the form c*z**2 + x + d*z and give x. -6 Rearrange -b**2 + 2*b**4 + 2*b**3 + 4*b**2 + b**2 - 2*b - 6*b**2 to the form g*b**4 + t + s*b**3 + w*b + o*b**2 and give g. 2 Rearrange (-2*h**3 + 5*h**3 - 2*h**3)*(h - h - 2*h) + (-3*h**3 + 2*h**3 - 13*h**3)*(-2*h - h + 0*h) to the form v*h**3 + m + l*h**2 + q*h + w*h**4 and give w. 40 Express 5*h**2 - 10*h**2 - h**2 + 5*h**2 - 2*h**3 as s*h + t*h**2 + q*h**3 + c and give q. -2 Express -16*h**3 + 22 - 2*h - 39 + 17 in the form w*h**3 + y + n*h + j*h**2 and give n. -2 Rearrange -48 - 3*v + 48 to the form f*v + p and give f. -3 Express 2*f**3 + f + 21*f**4 - 2*f**2 - 24*f**4 - 2*f**2 in the form z + i*f**4 + x*f**2 + o*f**3 + d*f and give x. -4 Express 2*v**2 - 35*v**3 + 32*v**3 - 2*v - 3*v**2 as n*v + r*v**2 + m*v**3 + b and give m. -3 Express (-4*m - 2*m - m)*(1 - m - 1) as i*m**2 + v + f*m and give i. 7 Express -2*a + 5*a**2 - a**3 - 1 - 2*a**2 - 3*a**3 - 1 in the form h + r*a**3 + l*a + n*a**2 and give r. -4 Rearrange (-4*o + 5*o + o)*(-5 + 5*o + 5) - 3*o**2 + o**2 + 0*o**2 - 6 + 4 + 2*o**2 + 4 to h*o**2 + p*o + j and give h. 10 Express 3 - 4 - 12*w**2 + 15*w**2 in the form n*w + y + p*w**2 and give y. -1 Express 4*s**2 - 3*s**2 + 0*s**2 + (-5*s + 142 - 142)*(-3*s - 5 + 5) in the form k*s**2 + v + t*s and give k. 16 Express -3 - 1 + 1 - 6*y - 10*y**3 + 11*y**3 in the form w + j*y**3 + x*y**2 + v*y and give v. -6 Rearrange (19*k - 8*k + 9*k)*(2*k - 3*k + 0*k) - 2*k**2 + 2*k**2 + k**2 + (4*k - 4*k + 2*k)*(0 + 0 + k) to j*k + p + w*k**2 and give w. -17 Express (-o - 1 + 1)*(2 - 5 + 1) - 39*o + 3*o - 23*o as z + h*o and give z. 0 Express (-8*b - 3*b - 3*b)*(3*b - 2*b**3 + 3*b - 7*b - 2) as t*b + p + k*b**3 + v*b**4 + h*b**2 and give h. 14 Express (y + y + 0*y)*(-4*y + 3*y + 4*y) - 11*y - 3*y + 30*y**2 + 16*y as d*y**2 + z*y + l and give d. 36 Express (6 - 5 + v + 0)*(0 + 4 - 1) in the form m*v + c and give c. 3 Rearrange -4 - 1 + 4*f**2 - 3 + 5 to b*f**2 + v + s*f and give v. -3 Express -k**3 + 5 + 32*k + 2*k**3 - 30*k - k**4 in the form c + n*k + l*k**2 + i*k**3 + p*k**4 and give c. 5 Express 6*f - 3 + 3 + 21*f as x*f + m and give x. 27 Express (3 + 1 - 3)*(-4*f - 7*f + 5*f)*(-f - f - 5*f) as w + t*f + m*f**2 and give w. 0 Rearrange (2*l**3 + l**3 - 4*l**3)*(-21*l - 260 + 260) to i*l**2 + n*l**4 + w + p*l**3 + v*l and give n. 21 Rearrange (-2 + 2 + 2)*(6*o + 17 - 17)*(-2 - 2*o + 2)*(4*o**2 - 3*o**2 - 2*o**2) to the form x*o**2 + y*o**4 + c*o**3 + a + l*o and give y. 24 Express (-3*g + 4*g - 2*g)*(-5 + 14*g - 2*g**2 + 2*g - 11*g) as p*g**3 + j*g**2 + o*g + b and give p. 2 Express h**4 + 4*h - 14*h**4 - 2*h - h**3 + 24*h**4 as c*h**2 + b*h + d*h**3 + l + r*h**4 and give b. 2 Express -6*u - 4*u + 10 - 10 in the form y*u + j and give j. 0 Rearrange -1 - l**3 + 5*l + 0*l**3 - l + 2*l**3 to q*l + h + m*l**3 + g*l**2 and give m. 1 Rearrange 9 + 2*b - 14 + 2 to the form x*b + i and give x. 2 Rearrange (-2 + 0 - 2)*(7*f**4 - 15*f**4 + 9*f**4) to the form u + c*f + g*f**3 + t*f**4 + l*f**2 and give t. -4 Rearrange 1 + 0*x**3 - 28*x - 2*x**3 + 21*x + (-2*x**2 - x**2 + 2*x**2)*(x - 2*x + 0*x) to the form o + f*x + j*x**2 + t*x**3 and give f. -7 Rearrange -h**2 + h**2 + h**3 + (-2*h**2 + 0*h**2 - 2*h**2)*(0*h + 3*h + h) to the form x*h**2 + d*h + o*h**3 + t and give o. -15 Rearrange (-2 + 2 - n)*(2 - 8*n - 32*n + 17*n) to p + q*n**2 + x*n and give q. 23 Express -l - 717*l**2 - l + 719*l**2 - 4 - 2*l**3 as a + j*l**2 + k*l**3 + o*l and give j. 2 Rearrange -7*c**3 + 1 - 18*c**2 + 3*c + 2*c**4 - 2 + 5*c**3 + 17*c**2 to w*c**3 + h*c + m*c**2 + r + k*c**4 and give w. -2 Express (2*t**3 + 3*t - 3*t)*(8 + 10 + 7 + 9) in the form y*t**3 + n*t**2 + q*t + d and give y. 68 Rearrange 4*m - 1 - m - 1 + 23*m**2 - 4*m + 2*m**3 to o*m**2 + a*m**3 + q*m + w and give w. -2 Rearrange (-2 + 2 - 2*i)*((-4 + 1 + 4)*(2 + 1 - 4) - 21 - 3 - 22) to the form g + k*i and give k. 94 Express (-x + x - 2*x**2)*(2*x - 1 + 1)*(-4 - 2 + 4)*(3*x - 22 + 22) as b*x**3 + y*x**4 + m*x**2 + c + l*x and give y. 24 Express (1560*b - 1555*b - 2 + 5)*(2*b**2 - 2*b**2 - 2*b**3) as u*b + n*b**2 + i*b**4 + k + f*b**3 and give f. -6 Rearrange (5 - 4 - 2)*(5*v**4 - 4*v**2 + 4*v**2 - 2*v**2) - 2*v**4 - v**4 - 2*v**4 to the form x*v**4 + c*v**3 + p*v**2 + h + y*v and give y. 0 Express -19*l**4 + 9*l**4 + l**2 - 5 + 4 as y*l**4 + h*l + d*l**3 + j*l**2 + v and give y. -10 Express -15*l + 9*l + 22*l + 2*l**2 as s*l + r*l**2 + o and give r. 2 Rearrange -24*c**4 - 4*c + 15*c**4 + 12*c**4 + c**3 to the form o*c + k*c**4 + f + y*c**3 + i*c**2 and give y. 1 Rearrange (-1 + 6 - 2*m - 6)*(34*m - 34*m - 5*m**2) to the form f*m + i*m**2 + l + v*m**3 and give i. 5 Rearrange 2*a**3 - a**3 - a**3 - 3*a**3 + 5 to the form k*a**3 + l + z*a**2 + y*a and give l. 5 Rearrange 168*a**2 + 48*a**2 - 37*a**2 to h*a + b*a**2 + y and give y. 0 Express (4 - 2*x - 4)*(-4 - 3 + 1)*(-3 - 4*x + 3) in the form g + h*x**2 + u*x and give h. -48 Express (3*f - 3*f + 2*f + (-f - 2*f + f)*(4 + 0 - 2))*(3*f + 11*f - 15*f - 4*f**2) as g + s*f**2 + t*f + z*f**3 and give s. 2 Rearrange (24 - 6*q - 24)*(1 + 2 - 4) + 4*q + 0 - 2 - 1 to o*q + b and give o. 10 Rearrange -5*c + 0*c**2 + 6*c**2 + 2*c + 4*c**2 - c**3 to d + b*c + w*c**3 + u*c**2 and give w. -1 Rearrange (-3*c + 2*c + 2 + 0*c)*(-4 + 4 - 4) to the form v*c + r and give r. -8 Rearrange 13*a**3 + a - 16*a**3 + 3*a**4 - a**4 to u*a**2 + w*a + t*a**4 + p*a**3 + v and give t. 2 Express 7*o**2 - 10*o + 5*o**2 - 8*o**2 + o**2 as p*o + g + n*o**2 and give p. -10 Express (v + 0 + 0)*(0 - 4 - 1) in the form w + q*v and give q. -5 Rearrange 1 - 2 + m**2 - 3*m**2 + (2 + 7*m - 2)*(4*m - 3*m + m) to the form z*m + s*m**2 + d and give d. -1 Express 5*y**3 - 74*y**4 + 2*y**2 + 72*y**4 - 2*y**3 as s + w*y**3 + d*y + c*y**2 + t*y**4 and give t. -2 Rearrange l - 2*l**3 + 1 + 0*l + 3*l to the form g + q*l + n*l**3 + k*l**2 and give q. 4 Express 13 - 2*b**4 - 2*b**2 + 11 - 23 as x*b + q*b**4 + u + z*b**3 + t*b**2 and give t. -2 Express (2 + 4 - 4)*(0*j + j + 0*j - j - 1 + 1 + (0 - 3 + 1)*(-3*j - j + 3*j))*(2*j - 4*j + 4*j) as y*j + s + r*j**2 and give r. 8 Rearrange 16*r + 5*r - 7*r to the form b*r + p and give b. 14 Rearrange (87*y - 62*y + 23*y + 121*y)*(1 - 2 + 3) to the form i*y + n and give i. 338 Rearrange -7*b**2 - 1 - 67*b + 0*b**2 + 69*b to the form l + m*b**2 + i*b and give i. 2 Express (-4*r + 4*r + r**2)*(-r**2 - 18*r + 6*r - 3 + 10*r) as t*r + s*r**2 + w*r**3 + m + u*r**4 and give w. -2 Rearrange (-2*j**2 + 2*j**2 + j**2)*(62 - 34*j**2 - 62) - 2*j**4 - 2*j**4 + 3*j**4 to x*j + q*j**4 + u*j**2 + o*j**3 + h and give q. -35 Express 4*s + 2*s**2 + s**4 + 2*s**3 - s + 4*
{ "pile_set_name": "DM Mathematics" }
ut replacement from xfxfxxfxxxx. What is prob of sequence xxf? 28/165 Calculate prob of sequence nnnn when four letters picked without replacement from nnnnnn. 1 Four letters picked without replacement from wwww. What is prob of sequence wwww? 1 Calculate prob of sequence st when two letters picked without replacement from {n: 1, o: 2, a: 1, t: 1, s: 1, y: 1}. 1/42 Three letters picked without replacement from {c: 1, p: 2, r: 1, k: 1}. Give prob of sequence ckp. 1/30 Two letters picked without replacement from {b: 2, c: 1, e: 2, g: 1, k: 1, r: 2}. Give prob of sequence bb. 1/36 What is prob of sequence coc when three letters picked without replacement from {o: 1, i: 2, c: 8, y: 2, m: 3, q: 4}? 7/855 Calculate prob of sequence sb when two letters picked without replacement from {s: 6, b: 2}. 3/14 What is prob of sequence aae when three letters picked without replacement from {t: 5, e: 2, a: 6}? 5/143 Calculate prob of sequence zk when two letters picked without replacement from kkzkkkkk. 1/8 Calculate prob of sequence tc when two letters picked without replacement from {q: 11, t: 3, c: 4}. 2/51 Two letters picked without replacement from {q: 2, f: 1, r: 2}. Give prob of sequence qf. 1/10 Two letters picked without replacement from wprrhhhrhh. Give prob of sequence rp. 1/30 What is prob of sequence hf when two letters picked without replacement from {f: 1, h: 3, g: 1, j: 1, n: 2, p: 3}? 3/110 What is prob of sequence kkhh when four letters picked without replacement from kkkkkkkkhkkh? 1/66 Two letters picked without replacement from {l: 2, k: 2, j: 1, q: 1}. Give prob of sequence lq. 1/15 Two letters picked without replacement from ccoccccoco. Give prob of sequence oc. 7/30 What is prob of sequence ln when two letters picked without replacement from {j: 1, d: 2, t: 1, n: 1, o: 1, l: 1}? 1/42 What is prob of sequence tp when two letters picked without replacement from {t: 7, p: 5}? 35/132 What is prob of sequence uuub when four letters picked without replacement from uuuuuuuuuuuub? 1/13 Four letters picked without replacement from xdxdxxxdxmdxsxmxmxx. Give prob of sequence dxdm. 11/2584 Four letters picked without replacement from {e: 11, a: 8, l: 1}. What is prob of sequence llae? 0 Three letters picked without replacement from wkkeeokekeweeswe. What is prob of sequence kse? 1/120 Three letters picked without replacement from {t: 9, i: 3, b: 1, n: 1, g: 3, e: 2}. What is prob of sequence ein? 1/969 Calculate prob of sequence jj when two letters picked without replacement from jjjjuu. 2/5 Two letters picked without replacement from rrbrbrcrbbccbcrcbbc. Give prob of sequence rb. 7/57 Calculate prob of sequence ux when two letters picked without replacement from xuxwuuuuuu. 7/45 Calculate prob of sequence kg when two letters picked without replacement from gguugkguuuguguguuguu. 2/95 Four letters picked without replacement from {x: 9, r: 5}. Give prob of sequence xrrx. 60/1001 Two letters picked without replacement from llimmpmlmyiymm. What is prob of sequence li? 3/91 Calculate prob of sequence rghf when four letters picked without replacement from rrhehhgjfgr. 1/440 Three letters picked without replacement from jrsjsbojsjbjjrorjbob. Give prob of sequence srr. 1/380 Calculate prob of sequence auk when three letters picked without replacement from euhekxhauue. 1/330 What is prob of sequence zezc when four letters picked without replacement from gccazccze? 1/378 Calculate prob of sequence vlvl when four letters picked without replacement from {l: 7, v: 3}. 1/20 Calculate prob of sequence xsx when three letters picked without replacement from {v: 1, x: 2, s: 1, n: 1}. 1/30 Two letters picked without replacement from {r: 1, p: 1, x: 1, n: 1, e: 1}. What is prob of sequence rn? 1/20 Calculate prob of sequence jn when two letters picked without replacement from mrjrjnmnm. 1/18 Calculate prob of sequence pbb when three letters picked without replacement from {b: 5, p: 7}. 7/66 What is prob of sequence hhnh when four letters picked without replacement from {h: 3, n: 7}? 1/120 Calculate prob of sequence bl when two letters picked without replacement from {w: 2, b: 1, r: 2, l: 1, g: 1}. 1/42 What is prob of sequence cnn when three letters picked without replacement from {c: 4, n: 7, p: 1, a: 1, l: 3}? 1/20 Calculate prob of sequence hho when three letters picked without replacement from ohhoooohhh. 5/36 Three letters picked without replacement from {k: 1, f: 1, j: 2, t: 2, h: 2}. What is prob of sequence hth? 1/84 Three letters picked without replacement from {i: 1, h: 2, m: 1, g: 2, z: 1, s: 1}. What is prob of sequence mzh? 1/168 Calculate prob of sequence ssus when four letters picked without replacement from {u: 13, s: 5}. 13/1224 Calculate prob of sequence nn when two letters picked without replacement from ininninnnn. 7/15 Calculate prob of sequence ob when two letters picked without replacement from {o: 5, m: 1, b: 4}. 2/9 Calculate prob of sequence xrxr when four letters picked without replacement from {r: 4, x: 6}. 1/14 What is prob of sequence hgee when four letters picked without replacement from gggheeg? 1/105 Three letters picked without replacement from riipppi. What is prob of sequence rpi? 3/70 Calculate prob of sequence hh when two letters picked without replacement from hvvvhvvvhhchhvhhhvv. 4/19 Calculate prob of sequence li when two letters picked without replacement from {i: 3, l: 11}. 33/182 What is prob of sequence lic when three letters picked without replacement from {l: 1, c: 1, s: 3, q: 2, i: 4}? 2/495 What is prob of sequence rpr when three letters picked without replacement from rrrrprrpprrrrrrrrrrr? 34/285 Calculate prob of sequence uure when four letters picked without replacement from {r: 1, u: 1, e: 1, v: 1, b: 2, n: 1}. 0 Three letters picked without replacement from {r: 2, l: 5}. What is prob of sequence rlr? 1/21 Three letters picked without replacement from {e: 10, t: 2}. Give prob of sequence tet. 1/66 What is prob of sequence uwbw when four letters picked without replacement from beweewkwkuebbkbebb? 1/2040 Three letters picked without replacement from zhjjeaeamzamez. What is prob of sequence zjm? 1/182 Four letters picked without replacement from kbbbbkkbbkb. What is prob of sequence bbkk? 7/110 Four letters picked without replacement from mjjjmjjvvtjt. Give prob of sequence vmvj. 1/495 Calculate prob of sequence khwo when four letters picked without replacement from {k: 1, j: 8, o: 1, w: 3, h: 1, x: 2}. 1/14560 Calculate prob of sequence av when two letters picked without replacement from aavaaavv. 15/56 Two letters picked without replacement from {n: 3, j: 1}. What is prob of sequence jn? 1/4 Calculate prob of sequence qq when two letters picked without replacement from {q: 10, s: 9}. 5/19 Three letters picked without replacement from {f: 1, w: 2, j: 3, z: 7, m: 4}. What is prob of sequence fww? 1/2040 Calculate prob of sequence oo when two letters picked without replacement from {o: 2, y: 1, z: 3, a: 4, h: 1}. 1/55 Four letters picked without replacement from aodln. Give prob of sequence ndoa. 1/120 Two letters picked without replacement from chzzzchhcchhhzchc. Give prob of sequence hz. 7/68 What is prob of sequence qq when two letters picked without replacement from qqqr? 1/2 What is prob of sequence ww when two letters picked without replacement from {w: 8, d: 2}? 28/45 Four letters picked without replacement from yyrrzrrzzyyzzrza. What is prob of sequence rayy? 1/728 Two letters picked without replacement from {h: 2, y: 3, o: 4, b: 4, l: 1, t: 1}. Give prob of sequence yy. 1/35 What is prob of sequence wmm when three letters picked without replacement from {w: 2, m: 3}? 1/5 Calculate prob of sequence tm when two letters picked without replacement from {m: 3, e: 5, g: 2, t: 3, a: 1, n: 6}. 9/380 What is prob of sequence fddd when four letters picked without replacement from ffffdfffdffffffdff? 1/816 Four letters picked without replacement from {e: 3, o: 1, w: 5, d: 1, s: 3}. What is prob of sequence wdoe? 1/1144 Three letters picked without replacement from ttttugctttttu. Give prob of sequence guc. 1/858 Three letters picked without replacement from iiiii. Give prob of sequence iii. 1 Two letters picked without
{ "pile_set_name": "DM Mathematics" }
817 Simplify -5*(6*((sqrt(1584) + sqrt(1584)*2 + sqrt(1584))*1 + 2 + 1*sqrt(1584) + -5 + 4)**2 + 1). -1188035 - 3600*sqrt(11) Simplify 1 + (4*sqrt(5200) + 2 - (3 + sqrt(5200)*-2))**2 + 0 + 4. -240*sqrt(13) + 187206 Simplify ((sqrt(832)*-1*-6 - (6*(sqrt(91) - (sqrt(91)*1 - sqrt(91))) + sqrt(91))/sqrt(7)) + -4 + 2)**2. -164*sqrt(13) + 21857 Simplify (-1 + 5 + (sqrt(320) - (4*(1*sqrt(320) + sqrt(320)) + sqrt(320))) + sqrt(320) + 4 + sqrt(80) + 0 + 2 + -5)**2. -520*sqrt(5) + 13545 Simplify 0 + (4*(2 + -2*sqrt(2736) + 0 - -4*(2*1*sqrt(2736) + sqrt(2736))))**2. 7680*sqrt(19) + 4377664 Simplify (-5 + (1*(sqrt(200) + -1 + 1)**2 - (1*(sqrt(200) + (2 + 1 + sqrt(200) - sqrt(200))))**2))*-2. 28 + 120*sqrt(2) Simplify ((-6*((sqrt(128) - (-4 + (sqrt(128) - 1*sqrt(128)) - sqrt(128) - sqrt(128))) + (1 + sqrt(128))*3) - (-1*sqrt(128) + 5)*6*6) + 0)**2. 49284 Simplify (1 + sqrt(119)/(sqrt(7)*-1) + 2 - ((1*sqrt(425) - sqrt(425)) + 0 - (1 + sqrt(425))*-4)**2) + 1. -6812 - 161*sqrt(17) Simplify 1*((-4*(sqrt(847) + -2*sqrt(847) + -1) + 5)*-1 + 4)**2*3. 1320*sqrt(7) + 40731 Simplify -4*((sqrt(1296) - sqrt(1296)*2)/(sqrt(192)*-4 + sqrt(12)) + 5*2*sqrt(300)*-1)**2. -2976048/25 Simplify (0 + (-2*-1*sqrt(78))/sqrt(6) + (sqrt(234)*2)/sqrt(2) + -2 + 3)**2. 16*sqrt(13) + 833 Simplify (-3*sqrt(132))/(sqrt(1100)/sqrt(4)) + (sqrt(3) + 1)*-5 + -3 + sqrt(24)/sqrt(8). -26*sqrt(3)/5 - 8 Simplify -3 + ((6*-6*sqrt(304))**2 + -2 - (0 + (sqrt(475) - sqrt(475)*-2 - sqrt(475))**2)*-2). 397779 Simplify -3*((3*(sqrt(847) + -1) - (sqrt(847) + 1)*-2) + (3 + sqrt(847) + 0)*-2)**2. -23016 + 1386*sqrt(7) Simplify ((sqrt(192)/sqrt(96) - sqrt(32))/(sqrt(98) - (sqrt(98) + 1*sqrt(98))))/(-3*sqrt(128) + 1*sqrt(200)). -3*sqrt(2)/196 Simplify ((-5 + -4 + (sqrt(684) - (sqrt(684) - (sqrt(684) + 0))) + -2)*4 + -1)**2 + -4. -2160*sqrt(19) + 12965 Simplify ((((sqrt(77) - sqrt(77)*1)*3 - sqrt(77)) + sqrt(77) + (sqrt(77) - (sqrt(77)*1 - sqrt(77)))*4)*5)/(2*sqrt(28)/sqrt(4) - sqrt(35)/sqrt(5)*-3) + 3. 3 + 4*sqrt(11) Simplify ((-6*-3*(2 + sqrt(539)*1 + sqrt(539)) - (-4 + -1*(sqrt(539) + 0)*-5))*2)**2. 69440*sqrt(11) + 2078316 Simplify (4 + (sqrt(24)/(sqrt(400) + sqrt(400)*-1 - sqrt(400) - sqrt(400)))/(sqrt(15)/(2*sqrt(405))))*6. -27*sqrt(2)/5 + 24 Simplify 1 + (-4 + (sqrt(108) - (sqrt(108) - sqrt(108)*-3)) + 2 - (sqrt(108) + (sqrt(108)*1 + sqrt(108))*1 + 2*-1*sqrt(108))**2). -109 - 18*sqrt(3) Simplify (sqrt(192)*4*1*1)/(sqrt(144)/(sqrt(54)*-4 - sqrt(54))). -120*sqrt(2) Simplify (((sqrt(120)/sqrt(18))/(sqrt(72)/(sqrt(108) + sqrt(12))))/((sqrt(125) + (-2*sqrt(125) + sqrt(125) - sqrt(125)))*-4*-4))**2. 1/1800 Simplify (5*2*sqrt(850) + 1*sqrt(850)*4)/(sqrt(8)*5 - sqrt(22)/sqrt(44)). 140*sqrt(17)/19 Simplify (1*1*sqrt(150) + (sqrt(150) - (sqrt(150)*-3 - sqrt(150)) - sqrt(150))*3)/(2*(-3*(sqrt(64) - (sqrt(64)*2 - sqrt(64))) - sqrt(64))/sqrt(2)). -65*sqrt(3)/8 Simplify (((sqrt(192) - (-1 + sqrt(192) + -1) - sqrt(192) - (-2 + sqrt(192) + 1)) + -5 + sqrt(192)*-1 + 3 + 4)*3)**2. -2160*sqrt(3) + 15777 Simplify (6*(1*(4*sqrt(68) + sqrt(68)) + sqrt(68) + 3 + sqrt(68) + -1 - (5 + -1*sqrt(68) + 2)*4))**2. -41184*sqrt(17) + 320544 Simplify ((sqrt(540) + -4*sqrt(540)*-2)*-1)/(5*sqrt(300) + -6*sqrt(72)/sqrt(6)) + 1. -27*sqrt(5)/19 + 1 Simplify 0 + 5 + (sqrt(637) - (sqrt(637) + -2 + 3)**2) + (((-3 + sqrt(637) - sqrt(637)) + -3)**2 + -5)*-3. -726 - 7*sqrt(13) Simplify (1 + (sqrt(143)*6*-1 + sqrt(143))/sqrt(11) + (sqrt(130)/sqrt(160) - (sqrt(13) - (sqrt(637) + sqrt(637)*-2))))**2. -51*sqrt(13)/2 + 33829/16 Simplify (sqrt(1575)*1 + sqrt(693)/sqrt(99))/(-5*4*(sqrt(576) - 3*sqrt(576))). sqrt(7)/60 Simplify (((sqrt(704)*-5 + 1 + sqrt(704) - ((sqrt(704) - (-4 + sqrt(704))) + -4)) + -1 + 5 + 5)*2)**2. -2560*sqrt(11) + 45456 Simplify (2*-2*((sqrt(300) - (sqrt(300) + 4*(sqrt(300) + -3) + sqrt(300))) + -3 + -2*(sqrt(300) + sqrt(300) + -3*sqrt(300)) + -3))**2. -5760*sqrt(3) + 43776 Simplify ((4 + -4 + -3*sqrt(11)*3)**2 - -3*((-4*(sqrt(66) + -6*sqrt(66)))/sqrt(6))**2)*3. 42273 Simplify (6*-5*sqrt(187)*1*6)/(sqrt(396) + sqrt(396)*-1*2 + (sqrt(396) + sqrt(396)*1)*-5) + -1. -1 + 30*sqrt(17)/11 Simplify (-3 + (sqrt(567)*-1 + 3 - -1*(sqrt(567) + 3)) + -5 + -4)**2. 36 Simplify (sqrt(288) + 0)*5 + (0 + sqrt(288)*4)**2 - (4 + 4*(-2 + -1 + sqrt(288)))**2. -64 + 828*sqrt(2) Simplify (sqrt(4)/(sqrt(4)/sqrt(2)) + sqrt(2) + sqrt(32) + -1 + -2 - sqrt(150)/(sqrt(24)/(sqrt(72)/sqrt(9)) + sqrt(3)))**2. -21*sqrt(2) + 67/2 Simplify 3 + -5*(-1 + sqrt(363) + 5 + (3 + sqrt(363) + 0 + sqrt(363))**2) + -3 + 4. -7321 - 715*sqrt(3) Simplify (sqrt(6292)*-1 - sqrt(1300)*4)/(sqrt(4) - 1*sqrt(64) - (sqrt(4) - (sqrt(28)/sqrt(7)*4 + sqrt(4)))). -31*sqrt(13) Simplify (3*(sqrt(1872) + -1*(sqrt(1872) + 1) + sqrt(1872)) + (4 + sqrt(1872) + 0 + sqrt(1872) - (-2 + sqrt(1872) + 1)) + 4)**2. 576*sqrt(13) + 29988 Simplify (-4*(-3 + 5*(1 + sqrt(3))) + (-2 + sqrt(147) + 2 - sqrt(147))*-4)**2. 320*sqrt(3) + 1264 Simplify -3*(-5*(2 + (1 + (-2*sqrt(1088) - sqrt(1088)) - (-1*sqrt(68) + 0)))**2 + 2). -1980*sqrt(17) + 123549 Simplify (((1 + sqrt(475))*-5 - (-5 + (sqrt(475) - (2 + sqrt(475))) - sqrt(475)))*6 + -3*(1*sqrt(475)*-1 + sqrt(475)*-1 + -1))**2. -2700*sqrt(19) + 154125 Simplify (-2*(-2 + sqrt(4608) + sqrt(4608)) + 3 - (2*sqrt(4608) + 3 - sqrt(4608))*-5)**2*-1. -5092 - 2112*sqrt(2) Simplify (((6*2*sqrt(2156) - sqrt(2156)) + sqrt(2156))*4)/(-5*(sqrt(576) - sqrt(576)*3*-4)). -28*sqrt(11)/65 Simplify ((2 + sqrt(288) + 2 + 1*sqrt(288) + (sqrt(288) - (1 + (sqrt(288)*2 - sqrt(288)))) + 0)*-2)**2*-4 + 2. -18574 - 2304*sqrt(2) Simplify (2 + 4 + sqrt(136)/(sqrt(88)/(sqrt(176) + sqrt(11))) - (3*(sqrt(153)*3 + sqrt(153)))/(sqrt(9) - sqrt(1296)*-1))**2. 636*sqrt(17)/13 + 53837/169 Simplify -2*(5*(sqrt(5103) + sqrt(5103) + -2))**2 + (-2*(sqrt(1575) + -1)*3)**2. -964064 + 9720*sqrt(7) Simplify 3 + (sqrt(1088) + 6*(sqrt(1088) + -1))**2*-2 + (sqrt(1088) + 1 + sqrt(1088) + 5 + 4)**2*-3. -120049 + 384*sqrt(17) Simplify -1*(-4 + (sqrt(931) + (sqrt(931) + sqrt(931) + 0 + sqrt(931) + 1 - sqrt(931)) - sqrt(931) - 6*(sqrt(931) + 0))*2)**2*-6. 1344*sqrt(19) + 357528 Simplify (1*(sqrt(208)*1 + -3))**2 + 2 + 1 + (-2 + sqrt(832) + (sqrt(832) - (0 + sqrt(832) + -4)))**2. 8*sqrt(13) + 1056 Simplify ((sqrt(10)/(sqrt(180)*-1))**2*6 - (4 + (2 + (-2*sqrt(2) - sqrt(2)))*-2))*1 + 3. -6*sqrt(2) + 10/3 Simplify ((sqrt(1872) + 3 + sqrt(1872) + 0 - sqrt(1872) - ((sqrt(1872) - (sqrt(1872) - (sqrt(1872) + -2))) + -2) - (5 + 1 + 1*sqrt(1872))) + -2)**2. 24*sqrt(13) + 1873 Simplify ((1 + (2 + -3*sqrt(832) - sqrt(832)))*-4 + -3*5*(sqrt(832) - (sqrt(832) + -6*(sqrt(832) + 1))))**2. 120768*sqrt(13) + 4566436 Simplify (1*sqrt(126)/((sqrt(12)*1)/sqrt(2)))/((sqrt(15) + (sqrt(30)/sqrt(2) - sqrt(15))*2)/(-1*sqrt(500))). -10*sqrt(7) Simplify (-2*-3*sqrt(4050) + sqrt(4050))/(sqrt(1960)/sqrt(4)*-1) + 0. -9*sqrt(5) Simplify (sqrt(500) + -2 + -3 - (sqrt(55) - sqrt(165)/sqrt(3)*-4)/(sqrt(891)*-2 - sqrt(891)))**2. -2750*sqrt(5)/27 + 396350/729 Simplify (5*(0 + 5 + ((sqrt(2057) + 0)*-6 + 1 + 2*sqrt(2057) + sqrt(2057))*2))**2. -23100*sqrt(17) + 1852525 Simplify ((-2 + -2*((sqrt(1872) + 2)*-1 + sqrt(1872)*-3 + 5 + -4))*-4)**2. 1916928 Simplify (4 + ((sqrt(11) + 1 + -3)*2 - sqrt(33)/(sqrt(108)*1)))**2 + 4. 1475/36 Simplify 5*((sqrt(300) - (-3 + sqrt(300)))*-6 + -3 + 5*(2 + sqrt(300)) + -3)**2*-5. -192400 + 35000*sqrt(3) Simplify ((-3*sqrt(91) - sqrt(91))*-4 - 4*-3*sqrt(91))/(3*(sqrt(700) + (sqrt(700) - ((sqrt(700) - sqrt(700)*2) + sqrt(700))*-4))). 7*sqrt(13)/15 Simplify (sqrt(2662)*-2*-4 - ((sqrt(2662)*-2 - sqrt(2662)) + sqrt(2662))*-3)/(sqrt(1152) + 3*sqrt(1152)*1). 11*sqrt(11)/48 Simplify ((sqrt(125) + 0)*-3 + 1 + (-1 + 2 + sqrt(125))*6 + 1 + 3)**2. 330*sqrt(5) + 1246 Simplify ((sqrt(50) - -2*sqrt(50))*2 + sqrt(100)/(sqrt(4)/sqrt(2)))/(sqrt(60)/(sqrt(6) - sqrt(24)/(sqrt(4) - sqrt(36) - sqrt(4)))*-4). -7*sqrt(5)/3 Simplify 4 + (-3*(sqrt(272) - (0 + sqrt(272) + -2 + sqrt(272)))*-2)**2*6 + 4 + 4. -3456*sqrt(17) + 59628 Simplify (-6*(sqrt(126)/sqrt(54) + sqrt(63)/sqrt(3)*1))/(sqrt(3) + -1*-2*sqrt(3) - sqrt(300)*3)*1. 8*sqrt(7)/27 Simplify ((sqrt(2592)*-1)/(-4*sqrt(96)) + -4 + 3*sqrt(75)*-1)*-2. 8 + 57*sqrt(3)/2 Simplify ((1*sqrt(1584)*-6 + sqrt(1584) - sqrt(1584)) + sqrt(1584))*1 + ((sqrt(99) + (-2 + sqrt(99))*-3)**2 - (1*(sqrt(99) - (sq
{ "pile_set_name": "DM Mathematics" }
= 2*i - 2*n + 6. Calculate the highest common divisor of t and i. 10 Suppose -64*i - 2610 = -70*i. What is the highest common divisor of i and 15? 15 Let h(r) = -2 - 6*r**3 - 11*r**2 + 5*r**3 + 0*r**3. Let q be h(-11). Let v be 31 - (q - 2)/(-4). What is the highest common divisor of v and 20? 10 Suppose -3*g = -6 - 0. Suppose g - 8 = y. Let n be ((-20)/y)/((-1)/(-3)). Calculate the highest common divisor of 15 and n. 5 Suppose n - 3*t - t = -10, 1 = 2*n - t. Let r = -148 + 151. Suppose -n*x = -r*x + 60. What is the greatest common divisor of x and 30? 30 Let s(u) = 18*u**2 + 2*u - 2. Let z be s(1). Let k(j) = 4*j + 144. Let o be k(0). What is the highest common divisor of z and o? 18 Let c = 6 - 15. Let a = c - -11. Let w be a/(-10) - 12/(-10). What is the highest common factor of w and 7? 1 Let o(h) = -h + 30. Let k be o(0). Let l = -14 - -34. What is the greatest common factor of l and k? 10 Let i be (-73 - (-15)/3) + (-8)/2. Let p = i - -140. Calculate the highest common divisor of p and 17. 17 Suppose -3*n + 17 = 2*c, 3*c + 2*c + 3*n = 29. Let m be (-4 + 1*(2 + 3))*0. Suppose 5*g - 36 - 24 = m. Calculate the highest common divisor of c and g. 4 Let q be (-5)/(-10) + (-31)/(-2). Let r = q + -13. Suppose n = r + 15. What is the highest common divisor of 12 and n? 6 Suppose 45 = 4*u - 2*i - 13, -5*u + 3*i = -70. Let n be 6/14 + (-645)/35. Let r be (-105)/(-2) + n/(-12)*-1. What is the highest common factor of u and r? 17 Let s(n) = 14*n**2 + 7. Let g = 27 - 31. Let r be s(g). What is the highest common factor of r and 21? 21 Suppose -9*s = 3*s. Suppose -4*g + 8 = -s, 3*v = 3*g. Let y = 19 - 5. What is the highest common factor of v and y? 2 Let i be -1 - (-1)/((-2)/(-8)). Suppose 3*v = 45 + 153. Suppose v = i*p - p. What is the greatest common factor of p and 11? 11 Let b = 7 + -5. Let y be (b + 15/2)*2. Let s be (-177)/(-9) - 1 - (-16)/48. What is the highest common divisor of y and s? 19 Suppose 3*c + 54 = 234. Suppose 0 = 3*l - 10 - 5. Suppose -l*g + 0*z = -3*z - 63, -z - 26 = -2*g. Calculate the highest common divisor of g and c. 15 Suppose 30*g = 27*g + 7908. Let o be g/10 + (-50)/(-125). What is the highest common factor of o and 24? 24 Let y(s) = s + 8. Let f = 27 + -16. Let k be y(f). Calculate the highest common factor of k and 76. 19 Suppose 0 = -7*q + 2*q - 10. Let w be (1/(-2) - -1)/(q/(-32)). Calculate the highest common factor of 32 and w. 8 Let o(q) = -2*q**2 + 47*q + 31. Let v be o(24). Let u = 17 - -18. What is the greatest common divisor of u and v? 7 Suppose 8*w + 2*n - 129 = 3*w, 0 = 2*w + 2*n - 54. What is the highest common divisor of w and 10? 5 Suppose 2*h - h = 14. Let s(k) = k + 21. Let b be s(-16). Let n be (131/1 - (b + -2)) + -2. What is the greatest common divisor of h and n? 14 Let l = 165 + -108. Let n = 74 - l. What is the highest common divisor of 68 and n? 17 Let z = -8 + 13. Let u be (-3 - (-5 + 6 + -3))*-2. Let k be z/(u + -3 + 2). What is the greatest common factor of 45 and k? 5 Suppose 0 = -24*k + 405 + 2931. Let c = 143 - k. Calculate the highest common divisor of c and 52. 4 Suppose 3*x - 3 = 2*b, b + 1 = -x + 2. Suppose -y + b*y + v = 0, 4*v - 8 = -4*y. Let j(n) = 20*n. Let h be j(y). What is the highest common divisor of h and 5? 5 Let m be 0 - -71 - 4*(-1)/(-4). Let n = -57 + m. What is the highest common factor of 52 and n? 13 Suppose 4*p - 12 = p + o, 2*p + o = 3. Suppose 0 = -2*v - 4*u + 176, v - 39 - 29 = p*u. Suppose v = 4*b - 60. Calculate the greatest common divisor of 14 and b. 7 Let w = -36 + 612. What is the highest common divisor of w and 27? 9 Let t(d) = 7*d + 3*d - 10 + 3*d**2 + 19 - 2*d**2. Let i be t(-9). Suppose -3*l + 42 + 3 = i. Calculate the greatest common divisor of l and 75. 15 Let u(i) = i**2 + 23*i - 57. Let m be u(4). What is the greatest common divisor of m and 36? 3 Let w be 13 - (3 + -1 + -2). Let j be 75/(-10) + (-2)/4. Let t = w + j. Calculate the highest common divisor of 5 and t. 5 Let k = 4 + -1. Suppose -5*m + m + 94 = -3*a, k*m + 5*a = 56. Let i be 308/14*(-2)/(-4). What is the highest common factor of i and m? 11 Let p(x) = -6*x - 3. Let u be p(-2). Suppose 14*j - 45 = u*j. Calculate the highest common divisor of 6 and j. 3 Let v(r) be the first derivative of 17*r**2 + 17*r - 8. Let c be v(7). Suppose 0 = -4*z + c - 55. What is the greatest common factor of z and 5? 5 Suppose -20*m + 212 + 1788 = 0. Calculate the highest common divisor of 325 and m. 25 Let b = -133 + 143. What is the highest common divisor of b and 45? 5 Suppose p + 0*p = 3*l + 93, -4*l - 432 = -5*p. Calculate the greatest common divisor of p and 12. 12 Suppose -5*a = -a - 5*o - 43, -3*a = 5*o - 6. Suppose -3*m + 0*m = -21. Suppose 7 = 2*v - m. Calculate the highest common factor of a and v. 7 Let u(k) = -8*k + 11. Let q(m) = 12*m - 17. Let z(g) = -5*q(g) - 8*u(g). Let t be z(12). What is the greatest common factor of 9 and t? 9 Suppose 3*r + 5*o = 132, 5*r - 8*o = -3*o + 180. What is the highest common factor of 52 and r? 13 Suppose 26 - 67 = 2*w + c, -3*c = -w - 17. Let n = w + 28. Suppose -2*x - 2*v + 99 = -67, 5*x = -2*v + 430. Calculate the highest common factor of n and x. 8 Suppose -7*n + 605 + 1474 = 0. Calculate the greatest common divisor of 22 and n. 11 Let a(z) be the third derivative of -z**4/8 + 7*z**3/6 - z**2. Let c be a(-5). Suppose 0 = -15*s + 18*s - 330. Calculate the highest common factor of s and c. 22 Let u be -33*(15/(-9) + 3 + -2). What is the greatest common divisor of u and 176? 22 Let z = -985 - -2215. What is the greatest common factor of z and 15? 15 Suppose -c - 3*g = 2*c - 60, -3*c + 66 = 5*g. Suppose c - 5 = -a. Let s be a*(1 + (-25)/15). Calculate the greatest common divisor of 8 and s. 8 Suppose 0 = -2*k + 3*a + 4, -2*k = -a + 5*a - 32. Suppose 9*p + 112 = 11*p. What is the highest common divisor of p and k? 8 Let i(z) = -2*z**3 - 31*z**2 + 5*z - 6. Let r be i(-16). Calculate the greatest common factor of 10 and r. 10 Suppose 25*c + 200 = 29*c. What is the greatest common divisor of c and 650? 50 Let c(o) = 4*o**2 - 3*o + 3. Let m be c(2). Let b be 1 + ((-108)/(-1) - -8). What is the highest common factor of m and b? 13 Suppose -2*g - 18 = -3*f, -4*g - 2*f = -7*f + 34. Let m be 3/(-2)*32/g. Suppose 6*n + 7 = 79. Calculate the greatest common divisor of m and n. 4 Let h be (-3)/12 + (-44)/16. Let y = h + 0. Let q be (y - 0 - -4)*11. Calculate the highest common factor of q and 77. 11 Suppose 2*d = -4*t + 150, d = 2*d - t - 60. Let r = d - 35. Let u(j) = j**2 - 24*j + 149. Let x be u(11). What is the greatest common divisor of r and x? 6 Let m be 26/(-143) + 266/11 + 1. Calculate the highest common divisor of 20 and m. 5 Suppose 2*s - 4*s + p + 77 = 0, s - 2*p - 31 = 0. Calculate the highest common divisor of 82 and s. 41 Let t = 1024 - 551. Calculate the greatest common divisor of t and 22. 11 Suppose -5*s = 15, 20*c - 91 = 15*c - 3*s. Suppose 51*m + c = 55*m. Let q = -113 - -158. What is the highest common divisor of q and m? 5 Let c = -9329 - -9359. Let h = 44 + 3. Suppose -4*q + h = -133. What is the highest common factor of q and c? 15 Suppose 0 = -3*p - 3*b, b + 0*b + 6 = -4*p. Let h be 102/9 - 1*p/(-6). Calculate the highest common factor of 121 and h. 11 Let i(y) = 3*y. Let n be i(3). Suppose -d - 3*d + 88 = 0. Let m = d - n. What is the greatest common factor of 13 and m? 13 Suppose -o = 3*o - 12, 0 = 5*i + 4*o - 162. Calculate the greatest common factor of 30 and i. 30 Suppose -5*n + 4*i + 0 = -15, 0 = -5*i. Suppose -4*l = -n*l - 54. Calculate the greatest common divisor of l and 6. 6 Suppose 5*i = -53 + 173. Calculate the greatest common divisor of 48 and i. 24 Let o = 956 - 506. Calculate the highest common divisor of o and 40. 10 Suppose 7*b - 286 = 3*b + 2*o, 3*b + 2*o = 218. Let i = 26 + -7. Suppose -2*m = n - 7*m - i, 2*m - 14 = -2*n. What is the highest common divisor of n and b? 9 Let m be -1 + -1 - (-384)/3. What is the greatest common factor of m and 42? 42 Suppose -m - 274 + 15 = 0. Suppose 3*u - 7*u = 376. Let l = u - m. Calculate the greatest common divisor of 15 and l. 15 Suppose 0*m - 2*m + 36 = 0. Let x be (-1)/(-3)*m/(-6). Let n be (x - 0)/((-4)/52). Calculate the greatest common divisor of n and 13. 13 Suppose -5*l - f - 129 = 0, 0
{ "pile_set_name": "DM Mathematics" }
s when three letters picked without replacement from nnsfsprnnffnsnwff? 3/136 Calculate prob of sequence cchc when four letters picked without replacement from hhhhhhcchc. 1/120 What is prob of sequence dd when two letters picked without replacement from kddkkdddkddddddkj? 55/136 Calculate prob of sequence ux when two letters picked without replacement from sttutttstxssssttts. 1/306 What is prob of sequence kkk when three letters picked without replacement from {k: 3, o: 5}? 1/56 Two letters picked without replacement from {i: 5, b: 1, f: 1, d: 1, l: 3, s: 3}. What is prob of sequence fi? 5/182 Three letters picked without replacement from {x: 2, j: 1, h: 1}. What is prob of sequence xhj? 1/12 What is prob of sequence mn when two letters picked without replacement from zrnnzmn? 1/14 Calculate prob of sequence urxr when four letters picked without replacement from {b: 2, r: 2, u: 1, x: 1}. 1/180 Calculate prob of sequence zfz when three letters picked without replacement from faffppfpafffafpzzff. 10/2907 Three letters picked without replacement from {a: 1, g: 1, b: 1, h: 1, z: 1}. What is prob of sequence ahz? 1/60 Calculate prob of sequence scd when three letters picked without replacement from {c: 1, s: 1, q: 2, d: 4}. 1/84 Two letters picked without replacement from {k: 2, n: 2, v: 1, p: 1, d: 1}. Give prob of sequence kd. 1/21 What is prob of sequence hka when three letters picked without replacement from akhkldkhlkdailhdlhkd? 1/171 Two letters picked without replacement from {c: 4, t: 3, q: 1, r: 3}. What is prob of sequence rq? 3/110 Two letters picked without replacement from {f: 5, k: 1, d: 3, u: 1, x: 1}. Give prob of sequence dd. 3/55 Two letters picked without replacement from {j: 1, e: 18}. What is prob of sequence ej? 1/19 Three letters picked without replacement from rkkrrjlkkl. Give prob of sequence kkl. 1/30 Four letters picked without replacement from {r: 3, f: 3, i: 1, d: 3, z: 3, h: 2}. What is prob of sequence ffdi? 1/1820 What is prob of sequence ig when two letters picked without replacement from {j: 8, i: 6, g: 2, a: 3}? 2/57 Four letters picked without replacement from ejejvvejvvvvejvvvee. Give prob of sequence veej. 15/1292 What is prob of sequence eys when three letters picked without replacement from ybssbsesc? 1/126 Four letters picked without replacement from tctcltltctttc. What is prob of sequence lttt? 7/286 What is prob of sequence zxxs when four letters picked without replacement from xsxszzzszzssxsssz? 3/595 What is prob of sequence lspo when four letters picked without replacement from {o: 1, l: 1, z: 1, s: 4, p: 2}? 1/378 Calculate prob of sequence qp when two letters picked without replacement from {r: 4, a: 4, p: 1, u: 1, e: 2, q: 2}. 1/91 Three letters picked without replacement from kkkkwukkk. Give prob of sequence kww. 0 Four letters picked without replacement from ccccccccccccccckcc. Give prob of sequence kccc. 1/18 What is prob of sequence nt when two letters picked without replacement from tchtnnnthnhcnnc? 3/35 Calculate prob of sequence zu when two letters picked without replacement from {z: 2, u: 7, k: 2, w: 5, d: 2}. 7/153 Four letters picked without replacement from {w: 4, u: 8, q: 1, e: 2, o: 4}. What is prob of sequence ueeu? 7/5814 What is prob of sequence zz when two letters picked without replacement from zzzwe? 3/10 Two letters picked without replacement from {v: 3, z: 4}. What is prob of sequence zz? 2/7 What is prob of sequence xp when two letters picked without replacement from xpq? 1/6 Calculate prob of sequence qebw when four letters picked without replacement from {b: 4, f: 1, m: 2, w: 1, e: 1, q: 3}. 1/990 Four letters picked without replacement from ddyddxxdx. What is prob of sequence xyxx? 1/504 Two letters picked without replacement from oyjllyoyylyjy. Give prob of sequence jo. 1/39 Two letters picked without replacement from xnxnvxxaxxxvwnaxxxn. What is prob of sequence vv? 1/171 Four letters picked without replacement from {x: 1, b: 2, o: 4, f: 6, v: 4}. Give prob of sequence fooo. 3/1190 Four letters picked without replacement from {r: 1, b: 1, q: 1, k: 2, z: 1, g: 1}. What is prob of sequence gqbk? 1/420 Three letters picked without replacement from hhckcken. Give prob of sequence hkk. 1/84 Calculate prob of sequence ull when three letters picked without replacement from {d: 4, u: 1, l: 3}. 1/56 Calculate prob of sequence sp when two letters picked without replacement from {s: 1, p: 2, b: 5, e: 7, v: 1}. 1/120 What is prob of sequence sg when two letters picked without replacement from {s: 5, q: 1, g: 1, o: 1, y: 2}? 1/18 Two letters picked without replacement from {q: 2, p: 2}. What is prob of sequence pp? 1/6 Calculate prob of sequence qeq when three letters picked without replacement from qeqqqqeqqqq. 8/55 Three letters picked without replacement from {n: 4, w: 3, l: 4, x: 6, a: 3}. What is prob of sequence xlw? 1/95 Calculate prob of sequence kl when two letters picked without replacement from fmlllkkmfmfll. 5/78 Two letters picked without replacement from mmzzm. What is prob of sequence zz? 1/10 What is prob of sequence ooe when three letters picked without replacement from eoo? 1/3 What is prob of sequence qgg when three letters picked without replacement from qqgggggqggg? 28/165 What is prob of sequence hmm when three letters picked without replacement from {h: 10, m: 4}? 5/91 What is prob of sequence rrac when four letters picked without replacement from arrararaacrac? 2/143 Three letters picked without replacement from {t: 16, s: 2}. What is prob of sequence sts? 1/153 Three letters picked without replacement from sxjvh. Give prob of sequence hvx. 1/60 What is prob of sequence ibb when three letters picked without replacement from {v: 5, b: 4, l: 1, i: 5}? 2/91 Two letters picked without replacement from {x: 5}. Give prob of sequence xx. 1 Four letters picked without replacement from {y: 2, w: 14, q: 1}. Give prob of sequence qyyw. 1/2040 Calculate prob of sequence bg when two letters picked without replacement from {b: 3, g: 13, d: 1}. 39/272 Four letters picked without replacement from ssssscssssss. What is prob of sequence csss? 1/12 Four letters picked without replacement from {r: 3, q: 3, w: 3, y: 1, j: 5}. What is prob of sequence wwqw? 1/1820 Calculate prob of sequence ppfc when four letters picked without replacement from {c: 1, p: 2, f: 2}. 1/30 What is prob of sequence zzz when three letters picked without replacement from {z: 5}? 1 Two letters picked without replacement from ssssssws. What is prob of sequence sw? 1/8 What is prob of sequence ipa when three letters picked without replacement from paayiyipiaiai? 10/429 Calculate prob of sequence qqy when three letters picked without replacement from yggqqqqg. 1/28 What is prob of sequence ggjj when four letters picked without replacement from gojojojoog? 1/420 Three letters picked without replacement from eyk. Give prob of sequence eye. 0 What is prob of sequence ra when two letters picked without replacement from {e: 2, l: 4, a: 5, r: 4}? 2/21 Three letters picked without replacement from {e: 9, w: 4, h: 4}. Give prob of sequence ehw. 3/85 Calculate prob of sequence zzsz when four letters picked without replacement from iizzszszs. 1/42 Calculate prob of sequence su when two letters picked without replacement from {c: 1, u: 1, s: 2}. 1/6 Four letters picked without replacement from evee. What is prob of sequence vvvv? 0 What is prob of sequence bf when two letters picked without replacement from yeeyeefbeeeeerrfy? 1/136 Calculate prob of sequence urr when three letters picked without replacement from {u: 2, r: 7, s: 1}. 7/60 What is prob of sequence ssb when three letters picked without replacement from bbbbbgegkbbsbkkggbs? 1/323 Two letters picked without replacement from {z: 1, d: 1, c: 2, n: 3}. What is prob of sequence nz? 1/14 Four letters picked without replacement from {b: 8, f: 5}. Give prob of sequence bfbf. 28/429 What is prob of sequence livl when four letters picked without replacement from vvlnlyvvwvviinynvnnv? 4/14535 Three letters picked without replacement from {n: 1, g: 1, y: 1, k: 1, u: 2, m: 1}. Give prob of sequence mnu. 1/105 What is prob of sequence ti when two letters picked without
{ "pile_set_name": "DM Mathematics" }
t common factor of 2763826483 and 341. 341 Calculate the highest common divisor of 580 and 32960. 20 What is the greatest common factor of 45 and 2053245? 15 Calculate the greatest common factor of 6762240 and 111744. 1152 What is the highest common factor of 3094 and 4835038? 442 Calculate the greatest common factor of 852631170 and 10. 10 What is the greatest common factor of 800995651 and 269? 269 Calculate the highest common factor of 846 and 15147207. 423 What is the greatest common divisor of 457366752 and 18? 18 What is the highest common divisor of 6150 and 8268250? 50 Calculate the highest common divisor of 88332 and 16932. 204 Calculate the highest common factor of 86 and 147852189. 43 Calculate the highest common divisor of 637665224 and 112. 56 What is the greatest common divisor of 583257 and 89823? 237 What is the greatest common divisor of 693848 and 7568? 344 Calculate the highest common factor of 980 and 5148332. 196 What is the greatest common factor of 142029 and 25? 1 Calculate the greatest common divisor of 158870162 and 10769. 979 Calculate the highest common divisor of 71422 and 2106. 26 What is the greatest common factor of 5485672 and 608? 8 Calculate the greatest common factor of 599 and 419901396. 599 What is the highest common factor of 42201 and 122956? 521 What is the highest common divisor of 375948 and 91686? 354 What is the greatest common divisor of 60809 and 15250649? 1241 What is the highest common factor of 516 and 49307025? 129 Calculate the highest common divisor of 6695 and 3603970. 515 Calculate the highest common factor of 81365396 and 3836. 3836 Calculate the highest common divisor of 12016430 and 50. 10 What is the greatest common factor of 13390550 and 225? 25 Calculate the highest common divisor of 1221 and 34521. 111 What is the greatest common divisor of 509 and 4531600023? 509 What is the highest common divisor of 1083 and 231423? 3 What is the greatest common factor of 1854 and 29646288? 18 What is the highest common factor of 275 and 30396300? 275 Calculate the greatest common factor of 149 and 834470477. 149 What is the highest common factor of 161700 and 30282? 294 Calculate the greatest common factor of 97603 and 60868780. 8873 Calculate the highest common factor of 10035284 and 214312. 2492 Calculate the highest common factor of 57596603 and 33848. 4231 What is the highest common divisor of 1608097 and 5685? 379 Calculate the highest common factor of 405930 and 120960. 210 Calculate the greatest common factor of 8590 and 6733701. 859 What is the greatest common factor of 180266 and 23966? 1042 Calculate the highest common factor of 39 and 4074889. 13 What is the greatest common divisor of 127543825 and 175? 25 Calculate the greatest common factor of 7126113 and 3030756. 9591 What is the highest common divisor of 762 and 19213703? 127 What is the greatest common factor of 14345 and 4505? 5 What is the greatest common factor of 695183 and 5959? 101 Calculate the greatest common factor of 3368 and 14687006. 842 What is the greatest common factor of 62280343 and 46? 23 Calculate the greatest common factor of 56 and 1482600. 56 Calculate the greatest common divisor of 5071352 and 13. 13 Calculate the highest common divisor of 2809 and 1475292418. 2809 Calculate the highest common factor of 1039164 and 1009001. 973 What is the greatest common divisor of 156 and 3191708? 52 What is the highest common divisor of 104 and 2205138? 26 Calculate the highest common divisor of 277776 and 304. 16 Calculate the highest common factor of 24 and 91784584. 8 Calculate the highest common factor of 45906629 and 93. 31 Calculate the greatest common divisor of 192 and 161298. 6 What is the highest common divisor of 10522060 and 5310? 590 Calculate the highest common divisor of 3561573 and 355. 71 What is the greatest common factor of 27 and 120414123? 9 Calculate the greatest common factor of 6591676 and 14. 14 What is the greatest common factor of 776 and 1219096? 776 Calculate the greatest common divisor of 207407 and 22513. 479 Calculate the greatest common divisor of 3126 and 680426. 1042 Calculate the highest common divisor of 3294 and 42175278. 1098 What is the greatest common factor of 3858612 and 2544? 636 What is the greatest common factor of 7719060 and 24? 12 Calculate the greatest common divisor of 360 and 123558840. 360 What is the greatest common divisor of 7666180 and 123? 41 Calculate the greatest common factor of 31558 and 138848074. 1018 What is the greatest common factor of 8892685 and 5? 5 What is the greatest common factor of 682 and 32117426? 682 What is the highest common divisor of 4040 and 497590? 10 What is the greatest common divisor of 18127054 and 1551? 517 Calculate the greatest common factor of 702786 and 13461. 21 What is the greatest common divisor of 32 and 115124280? 8 What is the highest common divisor of 15495816 and 63? 21 What is the highest common divisor of 123009 and 1539021? 939 Calculate the highest common factor of 399675672 and 519. 519 Calculate the highest common divisor of 895458176 and 214. 214 Calculate the highest common divisor of 1929165 and 1995. 1995 Calculate the highest common factor of 1790910 and 34974. 1206 What is the greatest common factor of 11363611 and 245? 7 Calculate the greatest common factor of 27375976 and 222611. 5177 What is the greatest common divisor of 217082 and 1934? 2 What is the highest common divisor of 78413337 and 3735? 747 Calculate the greatest common divisor of 1544001 and 16899. 129 What is the greatest common factor of 1799 and 7177982? 7 What is the greatest common factor of 312101179 and 74? 37 What is the highest common factor of 6908155 and 1975? 395 Calculate the greatest common divisor of 23391606 and 399. 21 Calculate the highest common divisor of 1899100 and 550. 50 What is the greatest common divisor of 17216 and 66304? 64 Calculate the greatest common divisor of 552223069 and 47. 47 Calculate the greatest common factor of 2297 and 583. 1 What is the greatest common divisor of 359879168 and 3256? 3256 What is the highest common factor of 64578 and 12922928? 458 What is the greatest common factor of 759 and 169774? 11 What is the highest common divisor of 672674 and 299882? 634 Calculate the greatest common divisor of 792 and 117573291. 99 What is the highest common divisor of 241660299 and 254? 127 What is the highest common divisor of 2020230 and 20070? 90 Calculate the highest common divisor of 2517628 and 2368. 148 Calculate the greatest common factor of 230 and 1818350. 10 What is the highest common factor of 11316192 and 672? 96 Calculate the greatest common factor of 23964 and 4620. 12 What is the highest common factor of 236344 and 832? 8 Calculate the greatest common factor of 144226 and 10471977. 1949 What is the greatest common factor of 255472580 and 1925? 55 What is the highest common factor of 436632868 and 53? 53 Calculate the highest common divisor of 44962200 and 1800. 1800 Calculate the highest common divisor of 990680 and 64. 8 What is the greatest common divisor of 343228 and 29468? 212 What is the highest common divisor of 113435 and 186935? 245 Calculate the greatest common factor of 14 and 42494753. 7 Calculate the highest common divisor of 640664 and 21836. 212 Calculate the highest common factor of 2926966 and 70. 14 What is the highest common factor of 841 and 194951369? 841 What is the highest common divisor of 7148857 and 68? 17 What is the highest common divisor of 33 and 7191789? 33 Calculate the highest common divisor of 1281220 and 43760. 20 Calculate the highest common factor of 21369 and 804480. 1257 Calculate the greatest common factor of 32613204 and 39. 39 What is the greatest common factor of 38248950 and 450? 150 Calculate the highest common factor of 120 and 2575248. 24 Calculate the highest common divisor of 8428248 and 38. 38 What is the greatest common factor of 29809637 and 55? 11 Calculate the highest common factor of 72183168 and 180. 36 Calculate the greatest common factor of 19818 and 1591488. 54 Calculate the greatest common divisor of 1078452 and 3364. 116 Calculate the greatest common divisor of 94 and 4631850. 94 Calculate the highest common divisor of 14982 and
{ "pile_set_name": "DM Mathematics" }
tiate g(u) wrt u. 8 Find the first derivative of -62*o + 263*o - 65*o - 501 - 73*o wrt o. 63 Let o(t) be the second derivative of -17*t**7/14 - t**5/10 - 18*t**3 + t + 15. Find the second derivative of o(d) wrt d. -1020*d**3 - 12*d What is the derivative of -483 + 0*o**3 + 52*o**4 + 45*o**4 + 3*o**3 + 142 wrt o? 388*o**3 + 9*o**2 Suppose i + 2 = a, 0 = 5*i - 10 - 5. Find the third derivative of -10*b**2 - 7*b**5 + a*b**6 + 7*b**5 wrt b. 600*b**3 Let t(o) be the second derivative of 31*o**4/12 - 7*o**3/6 + 228*o**2 - 366*o + 2. Find the first derivative of t(z) wrt z. 62*z - 7 Find the third derivative of -186*c**3 - 156*c - 7*c**2 + 156*c + 10*c**2 + 74 wrt c. -1116 Let b(q) = 161*q - 267. Let t(w) = 81*w - 134. Let k(o) = 4*b(o) - 9*t(o). Differentiate k(z) wrt z. -85 Let v(o) = 22*o**2 - 13*o - 17. Let y(i) = -6*i + 11*i**2 + 0*i**2 - 57 + 48. Let l(a) = -6*v(a) + 13*y(a). Find the first derivative of l(t) wrt t. 22*t Let u(v) be the first derivative of 113*v**3/3 - 16*v - 28. What is the first derivative of u(d) wrt d? 226*d Suppose -4*k - 6 = -6*k. Let z = -245 - -248. Find the third derivative of 2*u**z - u**3 + 4*u**2 + 2*u**k wrt u. 18 Suppose 4 + 2 = 2*j. What is the second derivative of -24*p**3 + 4*p + 10*p - 17*p**j + 12*p**3 wrt p? -174*p Suppose 0*s - 45 = -s. Let c be s + (12/3 - 4). What is the third derivative of 23*q**2 - c*q**2 + 30*q**2 + 8*q**3 wrt q? 48 Let b(s) = 7*s**2 + 2*s + s**3 - s + 6 + 3. Let u be b(-7). What is the second derivative of u*f**3 + 7*f**3 - 4*f**3 - 2*f**3 + f wrt f? 18*f Let u(k) = k**3 - 3*k**2. Let g be u(3). Differentiate 3*x**3 + g + 8 - 4*x**3 wrt x. -3*x**2 Let c(t) be the first derivative of -49*t**4/2 - 73*t**3/3 - 147. Find the third derivative of c(m) wrt m. -588 Suppose 2*i = -0*i - 52. Let m = -23 - i. What is the second derivative of -p + 3*p**5 - m*p + 2*p + 8*p**5 wrt p? 220*p**3 Let m(z) be the third derivative of 3*z**8/1120 - 3*z**5/10 - 2*z**4 + 19*z**2. Let y(c) be the second derivative of m(c). Differentiate y(o) with respect to o. 54*o**2 Let u(f) be the third derivative of -3*f**5/4 + f**4/12 + f**3/6 - f**2 + 8*f. What is the second derivative of u(o) wrt o? -90 Let x(s) = -10*s**3 + 444*s**2 - 207*s - 5. Let t(k) = -16*k**3 + 889*k**2 - 412*k - 9. Let n(w) = -3*t(w) + 5*x(w). Find the second derivative of n(f) wrt f. -12*f - 894 Suppose -4 = 4*l + 12, 76 = 4*o - 3*l. What is the third derivative of -7*j**4 - j**6 - 8*j**4 + o*j**4 - 1 + 22*j**2 wrt j? -120*j**3 + 24*j Let y(a) be the third derivative of -a**5/40 - 5*a**4/24 + 13*a**3/3 - 3*a**2. Let v(w) be the first derivative of y(w). What is the derivative of v(l) wrt l? -3 Let u(h) be the first derivative of 2*h**5/5 + 7*h**3/6 + 5*h - 5. Let r(v) be the first derivative of u(v). Find the second derivative of r(d) wrt d. 48*d Let r(b) be the third derivative of -41*b**8/42 - b**5/60 - b**4/2 + 35*b**2 - 2. What is the third derivative of r(q) wrt q? -19680*q**2 Suppose 4*f - 8 = -5*b, -f + 0 = b - 1. What is the second derivative of -35*m**b + 22*m**4 + 20*m**4 + m wrt m? 84*m**2 Let c(o) be the first derivative of 27*o**4/4 - 5*o**2 + 51*o + 1061. What is the derivative of c(r) wrt r? 81*r**2 - 10 Find the second derivative of -149*o - 23*o**3 - 3*o - 3*o**3 - 22*o**3 wrt o. -288*o What is the first derivative of -12 + 2 + 28*s - 2*s**2 + s**2 - 55*s - 2*s**2 wrt s? -6*s - 27 Let l(z) = z**2. Let a(g) = -11*g**2 + 1 - 12*g + 12*g. Let w(d) = -5*a(d) - 40*l(d). What is the derivative of w(m) wrt m? 30*m Let g = 16 + -14. Suppose -2*p = c + g*c + 5, -5*p + c = -13. Find the third derivative of 5*a**6 - 2*a**6 - 12*a**p + 7*a**2 wrt a. 360*a**3 Let b = -4 + -34. Let j = -37 - b. Differentiate j + 15 - l**2 - 3 with respect to l. -2*l Let h = 1547 - 455. What is the second derivative of -m**4 + 20*m + 31*m**2 + h*m**3 - 1092*m**3 wrt m? -12*m**2 + 62 Suppose -x + 4*q + 21 = 0, x - 5 = 2*q + 6. Let m be x + (-1)/((-3)/9). What is the third derivative of -4*u**3 - u**5 - 2*u**5 + 8*u**2 + m*u**3 wrt u? -180*u**2 Suppose -8*x - 16 = -4*x. Let l be (4/(-6))/(x/(-30)). Let f(w) = -2*w**3 + 5. Let d(v) = 2*v**3 - 5. Let m(p) = l*f(p) - 6*d(p). Differentiate m(u) wrt u. -6*u**2 Let a = -69 + 74. Find the first derivative of 2 - 10*b - 5*b - 10 - a*b wrt b. -20 Let z(l) be the second derivative of -5/2*l**2 - 13/30*l**6 + 14*l + 0*l**4 + 0*l**5 + 0*l**3 + 0. Find the first derivative of z(g) wrt g. -52*g**3 Let k(m) be the third derivative of 0*m**5 + 1/2*m**4 + 11/168*m**8 + 0*m + 16*m**2 + 0 + 0*m**3 + 0*m**6 + 0*m**7. What is the second derivative of k(n) wrt n? 440*n**3 Let j(z) = -5*z**4 - 23*z + 280. Let r(p) = -2*p**4 + p + 1. Let u(m) = j(m) - 2*r(m). Differentiate u(o) wrt o. -4*o**3 - 25 Let g(k) be the third derivative of 24*k**7/35 - 31*k**5/60 + k**4/24 - 28*k**2. Find the third derivative of g(y) wrt y. 3456*y Let y = 170 + -145. Find the second derivative of 1 - 5 - 20*f**5 + 2 - 36*f**5 + y*f wrt f. -1120*f**3 Find the second derivative of 25*b - 8*b**2 + 11*b**2 + 16*b**2 + 24*b**2 wrt b. 86 Let a(m) be the first derivative of -2*m**4 - 3*m**4 - 3*m**5 + 5*m**4 + 31*m + 32. What is the derivative of a(z) wrt z? -60*z**3 Let c(b) = -9*b**3 + 2*b**2 + 6. Let d(q) = 28*q**3 - 7*q**2 - 17. Let h = 30 + -28. Let j(l) = h*d(l) + 7*c(l). Find the first derivative of j(i) wrt i. -21*i**2 Let q(h) = -h**4 - 2*h**3 + h. Let u(w) = 11*w**5 + 5*w**4 + 10*w**3 + 2*w**2 - 3. Let p(c) = 5*q(c) + u(c). Find the second derivative of p(b) wrt b. 220*b**3 + 4 Let c be -6 - (-2 + -1) - 9. Let g = c - -14. Find the second derivative of -p**g - 4*p**2 + 0*p + 6*p**2 - 3*p wrt p. 2 Suppose -11*q - 36 = -15*q. What is the third derivative of -q*r + 9*r - 8*r**2 - 3*r**6 - 7*r**6 wrt r? -1200*r**3 Let g(f) = -3*f**3 - 100*f**2 + 251*f. Let z(w) = w**2 - w. Let r(u) = g(u) + 3*z(u). Find the second derivative of r(v) wrt v. -18*v - 194 Let d(r) be the second derivative of -r**6/20 + 13*r**5/120 + r**4/3 - 12*r + 1. Let a(v) be the third derivative of d(v). Differentiate a(n) with respect to n. -36 Let k(i) = -i**2 - 1. Let n(q) = -71*q**3 - 3*q**2 + 10*q - 3. Let h(t) = 3*k(t) - n(t). What is the second derivative of h(y) wrt y? 426*y Let x be ((-24)/16)/(3/(-4)). Let d = x - -2. Find the second derivative of -a + 3*a - 5*a + 4*a + 11*a**d wrt a. 132*a**2 Let z(y) be the second derivative of 0*y**2 + 1/2*y**4 + 0 - 17/6*y**3 + 23*y. What is the second derivative of z(c) wrt c? 12 Let d(j) be the third derivative of j**7/105 - 19*j**5/15 + 17*j**3 - 46*j**2 - j. What is the derivative of d(w) wrt w? 8*w**3 - 152*w What is the third derivative of 43*z**2 - 2*z**4 + 7*z**3 + z**3 + 42*z**3 + 3*z**4 wrt z? 24*z + 300 Suppose -3*p + 2 = -3*f - 10, -5*f = 5*p. Differentiate -p*b**3 - 15*b**3 + 3*b**3 + 22 - 5*b**3 with respect to b. -57*b**2 Let o(n) be the third derivative of 0*n + 0*n**4 - 2*n**2 + 27 - 7/10*n**5 + 0*n**3 + 37/120*n**6. Find the third derivative of o(q) wrt q. 222 Let x(r) = r**4 - 7*r**3 - 6*r + 182. Let w(o) = 15*o**3 + 13*o - 363. Let k(t) = -6*w(t) - 13*x(t). What is the derivative of k(m) wrt m? -52*m**3 + 3*m**2 Let m(z) be the first derivative of 9*z**5 + 43 + 0*z**4 + 0*z + 0*z**2 + 29/3*z**3. Find the third derivative of m(u) wrt u. 1080*u Let v(c) = -c**3 + 2*c**2 - c - 1. Let n(q) = -141*q**3 + 6*q**2 + 46*q - 2. Let k(g) = -n(g) + 2*v(g). Find the third derivative of k(a) wrt a. 834 Differentiate -57 - 188 + 230*f + 20 wrt f. 230 Let t(h) = -h**2 - 6*h + 3. Suppose 3*p - d + 3 = 3*d, -2*p - 3*d = 19. Let x be t(p). Find the first derivative of -x - 142*y**2 + 142*y**2 - y**3 wrt y. -3*y**2 Let i(h) be the second derivative of -11/2*h**2 + 0 + 58*h - 3/20*h**5 + 0*h**4 + 0*h**3. Differentiate i(g) wrt g. -9*g**2 Let h = -1/499 + 4993/1497. Let f(r) be the first derivative of -9 + 0*r**4 + h*r**3 - 2/5*r**5 + 0*r**2 + 0*r. What is the third derivative of f(y) wrt y? -48*y Let g(v) = 27*v**3 - 2*v**2 - 3*v - 4. Let x(s) = -83*s**3 + 7*s**2 + 10*s + 12. Let n(h) = 7*g(h) + 2*x(h). What is the second derivative of n(b) wrt b? 138*b Suppose -28 = -5*x + 62. Find the third derivative of s**3 - x*s**5 - 2*s**2 - s**3 + 10*s**2 wrt s. -1080*s**2 Find the first derivative of 141 - 61*g - 32*g - 96*g - 22*g - 32*g wrt g. -
{ "pile_set_name": "DM Mathematics" }
420*sqrt(11) + 229 Simplify ((-4*(sqrt(128) + 0 + 4 - (sqrt(128)*-1 - sqrt(128) - sqrt(128))*-3) + -2 + -3*(sqrt(128) + 2 + sqrt(128) + -1))*-4)**2. -139776*sqrt(2) + 1391504 Simplify sqrt(56)/(6*sqrt(8))*3*-3 - (-3*sqrt(280)/sqrt(5))/(sqrt(96)/(sqrt(48)/sqrt(4))). 3*sqrt(7)/2 Simplify ((-1*sqrt(243)*2 - sqrt(243))*-3 - (4 + ((sqrt(243) + sqrt(243) + (sqrt(243) - (sqrt(243) + 0)**2))*1 - sqrt(243))))*2*5. 630*sqrt(3) + 2390 Simplify (4*(-1 + (sqrt(720)*2 - sqrt(720)) - (-1 + sqrt(720)*-1) - -4*-1*sqrt(720)*-1))**2. 414720 Simplify (((-1 + sqrt(1377))*-6)**2 - ((0 + sqrt(1377))**2 + -2))*-2*-6*-2. -1157592 + 15552*sqrt(17) Simplify (5*6*(-6*(2 + 1 + sqrt(1539) - (-1 + sqrt(1539) + 0)) - ((sqrt(1539) + 2)*-3 + (2 + sqrt(1539) + 0 - sqrt(1539)))))**2. -972000*sqrt(19) + 12825900 Simplify (sqrt(693)/(sqrt(11) + sqrt(44)) + 1 + sqrt(6300) + 1)**2 - (sqrt(70) - sqrt(70)*1*-5)/(sqrt(120)/(sqrt(72)/sqrt(6))). 118*sqrt(7) + 6731 Simplify ((sqrt(1573) - (sqrt(1573) + sqrt(1573) + -2 + sqrt(1573) + -4) - sqrt(1573))**2 + 2 + (sqrt(1404)*2)/(2*sqrt(192)))*3. -4743*sqrt(13)/4 + 42585 Simplify (sqrt(11) + 1 + sqrt(704))**2 + -3 + sqrt(11) + 2 + (sqrt(176)*-3*-6)**2 + 5 + -3. 19*sqrt(11) + 57917 Simplify (5*(sqrt(119) - (sqrt(119)*-2 + sqrt(119) + sqrt(119))))/(sqrt(14)/(sqrt(2)*2)) + 1*(((sqrt(204) - sqrt(204)*1)/sqrt(12))**2 + -4). -4 + 10*sqrt(17) Simplify ((1*sqrt(112) + -4 + sqrt(112) + 0 + -1)**2 + -3 - ((-2*sqrt(112) + -4 - (sqrt(112)*-2 + -3)) + 1)) + 3. -80*sqrt(7) + 473 Simplify (-3 + ((sqrt(117) - (-1 + sqrt(117) + 3)) + -3*sqrt(117)*-5)*-5 + -1)**2. -2700*sqrt(13) + 658161 Simplify -4 + 3*(sqrt(720) + -5 + -2 + sqrt(720) + (sqrt(720)*1)**2*-4 + -5) + 2. -8678 + 72*sqrt(5) Simplify -4*5*((1*sqrt(243)*2)**2 - ((sqrt(243) - (sqrt(243) + (-1*sqrt(243) - sqrt(243)))) + 3) - (1 + (sqrt(243)*-2*1)**2)) + 2. 82 + 360*sqrt(3) Simplify (-1 + 2*(((sqrt(343) - 2*sqrt(343)) + -3)*1 + sqrt(343) + 3*(sqrt(343) - -1*sqrt(343)) + 2))**2. -504*sqrt(7) + 49401 Simplify (-5*sqrt(192)*3*-3)**2 + (sqrt(36)/sqrt(4)*4 - sqrt(9))/sqrt(3)*-6. -18*sqrt(3) + 388800 Simplify 1*(1 + 5 + (((2 + -2*sqrt(931) + sqrt(931))*1)**2 - (3*1*sqrt(931))**2*2)) + 3. -15814 - 28*sqrt(19) Simplify -2*(2 + (2*sqrt(11)*2)**2*-4 + -1*(6*(sqrt(44)/sqrt(4) + sqrt(11)))**2*-1). -1764 Simplify 2 + (3*sqrt(11)*-4)**2 + sqrt(66)/sqrt(96) + (2*sqrt(66)*-3)/((3*sqrt(96) - sqrt(96)) + sqrt(96) + sqrt(96)). -sqrt(11)/8 + 1586 Simplify 0 + ((sqrt(19) + sqrt(475) + 2 + sqrt(475) + 2 - (sqrt(19) - sqrt(114)/sqrt(150) - ((sqrt(171)/sqrt(3))/sqrt(3) - sqrt(19)))) + -5)**2. -102*sqrt(19)/5 + 49444/25 Simplify 3*1*1*(sqrt(1900) + -3 + sqrt(1900) + 4 + sqrt(1900) + sqrt(1900))**2*3. 720*sqrt(19) + 273609 Simplify (6*sqrt(91)*3 - (sqrt(91) + (sqrt(91) + (sqrt(91)*-1 - sqrt(91) - sqrt(91)))*-4))/((sqrt(21) - sqrt(84)/sqrt(16))/((sqrt(3)*-1 - sqrt(3))*5)). -180*sqrt(13) Simplify (1*sqrt(100)/(sqrt(8)/sqrt(4))*3)/(-6*(sqrt(1210) - 1*sqrt(1210)) - (sqrt(1210) + (sqrt(1210) - 1*sqrt(1210)*1))). -3*sqrt(5)/11 Simplify ((sqrt(864) + sqrt(864)*-1*1)*-3)/(sqrt(64)/sqrt(2) + (sqrt(2) - (2*sqrt(200) - sqrt(200)))). 0 Simplify (sqrt(21) + sqrt(3024)*-2 + sqrt(3024) + (sqrt(189) - (3*sqrt(189) - sqrt(189))))/(-5*1*sqrt(448)*-5). -7*sqrt(3)/100 Simplify (((sqrt(81) - (sqrt(81) + 1*sqrt(81)))*-5)/(sqrt(6)/sqrt(8)) - (sqrt(2178)*2 - sqrt(2178))/(sqrt(54)/(sqrt(36)/sqrt(4)) - sqrt(6) - sqrt(6)))**2. 5043 Simplify (-6*sqrt(91)*-1 - 3*sqrt(91)*2 - 1*sqrt(91)*-1*-2)/((sqrt(42) + -6*-3*sqrt(42) + sqrt(42))/(sqrt(42)/sqrt(252))). -sqrt(13)/60 Simplify -2*((sqrt(162) - (5 + sqrt(162) + -2)) + -4)*3*-3. -126 Simplify (1*2*sqrt(352) - (2*2*sqrt(352) + sqrt(352)))/(sqrt(24)/(sqrt(84)/sqrt(7)) + -3*sqrt(2)*-4). -12*sqrt(11)/13 Simplify (0 + -1 + 4 + 3*(-6*(1*sqrt(99) - sqrt(99)) + 5) + 0 + -3)**2. 225 Simplify 5 + (5*-3*(sqrt(56) - sqrt(1400)))/(-4*sqrt(70)/(sqrt(40)/sqrt(4))*-6). 5 + 5*sqrt(2) Simplify 3*(1 + sqrt(500) + sqrt(500) + 0)**2*-5 - ((sqrt(720) + 1)*1 + (sqrt(720) + 0 + sqrt(720))*-4 + 4)**2. -65320 + 240*sqrt(5) Simplify (((sqrt(75) + 4)*-4*4 + (((sqrt(75) + -2 - sqrt(75)) + sqrt(75) - sqrt(75))*5 - (sqrt(75) + -1 + -1)))**2 + 0)*-3. -80577 - 36720*sqrt(3) Simplify (1*1*(sqrt(175)*2 + sqrt(175)) - ((sqrt(42)*4)/sqrt(6) - (sqrt(63) + 2)))**2 + -2. 56*sqrt(7) + 1374 Simplify -2*((((-2*sqrt(270))/sqrt(10) - sqrt(27)) + 6*sqrt(27)*2)/(-4*(2*sqrt(108))/sqrt(12)))**2. -243/32 Simplify (6*sqrt(600)*2 + (3*-2*sqrt(600) - sqrt(600)))/((sqrt(64) + sqrt(64) + (2*sqrt(64) - sqrt(64))*-6)/(sqrt(16)/sqrt(2)*3)). -75*sqrt(3)/4 Simplify -4*(3 + ((-1 + sqrt(112) + 4 - ((sqrt(112) + 1 + sqrt(112) + sqrt(112))**2*-2 + sqrt(112))) + 2)*-5). 960*sqrt(7) + 40448 Simplify 1*(3 + (5*(-1 + -2*sqrt(4050) + sqrt(4050) - (sqrt(4050) - sqrt(4050)*-1*-3)))**2). -2250*sqrt(2) + 101278 Simplify (6*(sqrt(65) + (2*-3*sqrt(65) - sqrt(65)))*6)/(sqrt(315)/((sqrt(84)*-3)/sqrt(12))). 216*sqrt(13) Simplify 2 + ((2*sqrt(80)*-4 - sqrt(80)) + sqrt(80) + 2*(1 + sqrt(80)))**2*-4*5. -57678 + 1920*sqrt(5) Simplify (sqrt(176)*-1*3)**2*1 + (((sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77)*-2 + sqrt(77) + sqrt(77) + sqrt(77)))))*-6 + sqrt(77))/(1*sqrt(175)))**2 + -1. 39586/25 Simplify (-2*-5*sqrt(96)*-1)/(-2*sqrt(1152)). 5*sqrt(3)/6 Simplify -3 + (6*((sqrt(200) + 1 - sqrt(2)) + 2 + -5 + (sqrt(2) - sqrt(6)/sqrt(3)) + -4))**2 + 0. -3888*sqrt(2) + 7125 Simplify -3*(-2*1*(2 + (4*(-2 + sqrt(2057)) + sqrt(2057) - -1*(-2*sqrt(2057) - sqrt(2057))) + -1))**2. -99324 + 3696*sqrt(17) Simplify 0 + (-3*(3*(1 + sqrt(112))*-3 + (sqrt(112) + (sqrt(112) - -4*(sqrt(112) + 0)) - 6*(sqrt(112) + -1))))**2. 1944*sqrt(7) + 81729 Simplify -4*((sqrt(57) - (sqrt(5700)*-1 + sqrt(5700))) + 1*sqrt(228) + sqrt(228) + sqrt(228) + sqrt(228))/(sqrt(192)*2 + (sqrt(3) + sqrt(9)/sqrt(3))*-1) + -3. -18*sqrt(19)/7 - 3 Simplify -2*-2*(sqrt(2)*2)**2*2*1 + 0 + 0 + 2. 66 Simplify 3*(1*-1*sqrt(104) - (4*(sqrt(104) - (sqrt(104) + sqrt(104)*1 + sqrt(104))) + sqrt(104)))/(((3*sqrt(80))/sqrt(2))/sqrt(5)). 6*sqrt(13) Simplify ((-4*(sqrt(208) - sqrt(208)*-1) - (1 + sqrt(208) + 0 + sqrt(208))) + (0 + sqrt(208))*-6 + 2)**2*3 + -4. -384*sqrt(13) + 159743 Simplify (-1*sqrt(312)/(sqrt(6) + sqrt(96)*-4))/((1*-2*sqrt(24))/(-6*sqrt(30)/sqrt(5))). sqrt(13)/5 Simplify (sqrt(15) + sqrt(75)/(1*sqrt(5)) - (sqrt(60)/sqrt(4)*4 + sqrt(15)))/(sqrt(54)/sqrt(18) - -1*sqrt(432)). -3*sqrt(5)/13 Simplify (-2*-2*2*sqrt(110)*-2)/(3*6*sqrt(490)*2). -4*sqrt(11)/63 Simplify (((-5*sqrt(234)*1 - sqrt(234)) + sqrt(234) - sqrt(234))/(sqrt(9) + sqrt(45)/sqrt(5)*-6))/((-1*sqrt(250))/(sqrt(80)*4)). -96*sqrt(13)/25 Simplify (-4*sqrt(14)/(sqrt(448)*4) + (sqrt(2) + -1*(-2 + sqrt(2) - sqrt(2)) - -6*sqrt(18)/sqrt(9)))**2. 55*sqrt(2)/2 + 3153/32 Simplify 4 + -5 + ((sqrt(684)*1 - sqrt(684))*-3)**2 + 0 + 3 + (4 + sqrt(684)*2)**2. 96*sqrt(19) + 2754 Simplify (sqrt(847)*-2*6)**2 + 0 + ((sqrt(14)/(-4*sqrt(2)))**2 - (sqrt(28)/sqrt(4)*3 + sqrt(7))). -4*sqrt(7) + 1951495/16 Simplify (-3 + (-2*sqrt(75)*1*-6)**2)*3 + 0. 32391 Simplify -6*((2*(sqrt(245) + -1*sqrt(245) + 1) - (sqrt(245) + 3*(sqrt(245) + 0)**2 + (sqrt(245) - ((-1 + sqrt(245) - sqrt(245))*-3)**2)))*-2 + -5). -8658 - 168*sqrt(5) Simplify sqrt(272) + 0 + sqrt(272) + 3 + (-2*(-1*sqrt(272) + sqrt(272)))**2 - (3 + -3*((0 + sqrt(272))**2 - sqrt(272)) + -2). -4*sqrt(17) + 818 Simplify -2 + (6*(sqrt(119) - (sqrt(119) + (sqrt(119) - 3*(sqrt(119) + sqrt(119)*-2 + sqrt(119))))))/(sqrt(126)/sqrt(2)*-3). -2 + 2*sqrt(17)/3 Simplify (-2*(-3 + 2*sqrt(931) - (sqrt(931) - (-3 + sqrt(931) + 2)))*-2*-5)**2. -44800*sqrt(19) + 1496000 Simplify (0 + -6*(-2*-2*sqrt(450) - (5*sqrt(72) - (sqrt(64)/sqrt(8) - sqrt(8))/sqrt(4))))**2. 64800 Simplify (-2*(1 + -1 + sqrt(2736)*2) - (2 + -5*(sqrt(2736) + sqrt(2736)*-2)*6))**2. 1632*sqrt(19) + 3162820 Simplify (-4 + (-1*(sqrt(13) + 5*sqrt(26)/sqrt(2) + sqrt(13) + -5) + 4)*6 + 0)**2. -4200*sqrt(13) + 25432 Simplify (-3*(3*2*-2*sqrt(245) + -6*(sqrt(245)*6 + -5) + 2))**2. -193536*sqrt(5) + 5089536 Simplify 2 + ((5 + sqrt(15)/(sqrt(15)/(sqrt(5) + sqrt(45))))**2 - (2 + (sqrt(80))**2 + -1 + sqrt(605) + -4)). 30 + 29*sqrt(5) Simplify (((sqrt(1275)*2 - sqrt(3264)*1)*6)/(sqrt(384)/(sqrt(24)/sqrt(27))))**2. 17 Simplify (-1*(1 + (sqrt(1573) - (sqrt(1573) + 0)*-3)*2)*-4 + -3)**2*-1. -1610753 - 704*sqr
{ "pile_set_name": "DM Mathematics" }
11.1768 -0.1 * 903916 -90391.6 Product of -118907 and -0.4. 47562.8 Product of 4 and 53.016. 212.064 -7*-11228 78596 Product of 3 and -116228. -348684 What is the product of 0.21 and -4.466? -0.93786 Work out -118.571 * -3. 355.713 -3.3 * 12110 -39963 What is the product of -19781 and 219? -4332039 Multiply -0.31 and 0.8779. -0.272149 Work out 58755 * 4. 235020 Work out 53249 * -0.6. -31949.4 9 times -13213.8 -118924.2 What is -20604 times -0.044? 906.576 1711793*2 3423586 -466767 * 0 0 1597*-0.0646 -103.1662 What is -0.4017 times -0.5? 0.20085 Product of -3239 and -166. 537674 2464.2 times 0.1 246.42 -87.468*0.3 -26.2404 -8 times -1.978 15.824 What is -1.5 times -80238? 120357 Multiply -0.04915 and -0.13. 0.0063895 Calculate 0.5988*3. 1.7964 Calculate 36*-7833. -281988 Work out -1 * 103292. -103292 13*7228 93964 Calculate -517.3*-203. 105011.9 Work out -0.3 * -29919. 8975.7 What is the product of 1.63 and 266? 433.58 -0.113 times -83 9.379 Work out 0.843 * 0.107. 0.090201 -4321*0.39 -1685.19 Multiply -52 and -591. 30732 -0.45*106530 -47938.5 Calculate -37*-26.3. 973.1 6504 * -3 -19512 Calculate -0.1184*-0.735. 0.087024 Work out 0.18 * -0.08551. -0.0153918 Multiply -5 and -4908.8. 24544 584 * 132 77088 Work out 0.4 * -96.346. -38.5384 What is -0.01 times -842900? 8429 Multiply -593.9 and -52. 30882.8 Work out 1 * 1934.12. 1934.12 5421 times -201 -1089621 What is 736 times -0.366? -269.376 What is the product of 24144 and 2? 48288 -18875 * 3 -56625 0.1 times -3341 -334.1 0.003 * -1629 -4.887 Multiply 5 and -6.2. -31 1538769 times 0.4 615507.6 -0.5 times -61323 30661.5 -0.2*-14945 2989 Work out 61312 * 5. 306560 What is -110 times -0.13411? 14.7521 -246*0.07093 -17.44878 Multiply 0.071688 and -3. -0.215064 Product of -22711.7 and 3. -68135.1 What is -0.4 times -230.7? 92.28 Product of 4 and 5702. 22808 Calculate 0.9*3758.5. 3382.65 139*0.5379 74.7681 -5 times -163.1 815.5 -0.3*-2667 800.1 0.2 * 63122 12624.4 0.3 times -270299 -81089.7 What is the product of 0.061 and -866? -52.826 -0.1 times -8005 800.5 Work out 0.5 * 194561. 97280.5 Multiply -4 and 10.515. -42.06 Product of 0.13 and 0.071304. 0.00926952 6391.7 * -0.03 -191.751 What is 67767 times 0.8? 54213.6 0 * 0.69 0 What is the product of 136.5 and 17? 2320.5 Work out -0.4 * -0.42794. 0.171176 What is the product of -0.22 and -164? 36.08 Multiply -6402533 and 0.2. -1280506.6 Work out 0.2 * -1053.49. -210.698 What is the product of -541.9 and -8? 4335.2 1.093 * -2.2 -2.4046 Product of 0.1 and 0.3895. 0.03895 Work out -31.6 * 0.656. -20.7296 What is the product of 0.4 and -0.18806? -0.075224 481.6424*-0.1 -48.16424 -14*-0.016716 0.234024 What is the product of 0.3 and 1184? 355.2 Calculate -0.11863*-2. 0.23726 Multiply 0.08 and 1552. 124.16 What is the product of 0.05 and 0.8497? 0.042485 What is the product of -0.0298 and -1913? 57.0074 Product of 0.05 and 0.4434. 0.02217 Work out 3184 * 35. 111440 1 times 66029 66029 0.0934467*3 0.2803401 Product of 0.5 and 98841. 49420.5 Product of 4.83 and -811. -3917.13 What is the product of -6358 and 5? -31790 What is -0.11 times -210.5? 23.155 Work out 1796 * 13. 23348 9*-671 -6039 -2624 times -0.8 2099.2 Product of -24 and 568. -13632 350*-1720 -602000 Work out 15 * 21.08. 316.2 1.68 times 240 403.2 Calculate -415.2*68. -28233.6 What is 165299 times -0.3? -49589.7 5*-12508 -62540 -122629 * 5 -613145 What is the product of 12 and 1110.52? 13326.24 2*518772 1037544 Product of -0.2 and -0.0003. 0.00006 What is 489 times 1.513? 739.857 What is 0.16 times -131.76? -21.0816 0.2*5499 1099.8 -34*-94637 3217658 789 * -192 -151488 Work out 5236 * 20. 104720 423 times 1364 576972 What is the product of -0.2 and 4493.79? -898.758 0.777 times 1022 794.094 What is the product of 0.133 and -0.1615? -0.0214795 -683.3*212 -144859.6 0.2 times -158552 -31710.4 Multiply -0.38 and -1482. 563.16 Calculate 0.8*39840. 31872 11526 times -0.3 -3457.8 73 * -445 -32485 18 * -3567 -64206 Calculate -633.8*-1.2. 760.56 0.2 times 11477.1 2295.42 0.0088409 times -2 -0.0176818 Multiply -0.1 and -24.38. 2.438 0.1764 times -1.3 -0.22932 Product of 0 and -0.3235. 0 Multiply 4.003 and 3.9. 15.6117 1922 times -14 -26908 Product of -912338 and -2. 1824676 252.3*-569 -143558.7 What is the product of 0.5 and 118582? 59291 Work out -2 * 221162. -442324 Product of -763 and -0.01584. 12.08592 Work out 0.591 * -1079. -637.689 Calculate -0.3*16052.8. -4815.84 Product of -60 and -38419. 2305140 What is -2156 times 0.07? -150.92 What is 0.019 times -41718? -792.642 Work out -0.02 * 1183. -23.66 Work out 13068.7 * 29. 378992.3 -21.518*8 -172.144 -80 * 8.47 -677.6 5 times -26735.6 -133678 -0.1 * -0.2218 0.02218 30.094 times -7 -210.658 Multiply -13.3213 and 0.2. -2.66426 -9.47*-35 331.45 Calculate 1*-0.378604. -0.378604 -44*300 -13200 -0.01 * -327.658 3.27658 What is the product of -42412 and 5.8? -245989.6 What is the product of 0.3 and 109.23? 32.769 4 * 110932 443728 What is the product of -0.69 and -5.36? 3.6984 What is the product of -0.09 and 6050? -544.5 What is the product of -1 and 13.07007? -13.07007 Calculate 5*0.34638. 1.7319 -98*0.0461 -4.5178 Work out 0 * 149982.7. 0 0.1*19390 1939 Multiply -841.14 and 0.07. -58.8798 -0.06 * 257 -15.42 Product of -52453 and 32. -1678496 What is -0.2 times 0.06373? -0.012746 Work out -50.24 * 0.1. -5.024 What is the product of -3501.96 and -0.3? 1050.588 What is 1.2832 times 0.3? 0.38496 Multiply 0.6 and -119904. -71942.4 Calculate -0.69*10777. -7436.13 Calculate 0.111177*-2. -0.222354 -38935*-0.4 15574 -6 times 159827 -958962 Work out -187976 * 0.1. -18797.6 2 * -96.252 -192.504 2261.29 * -23 -52009.67 4569 * 247 1128543 Multiply -11.3 and -1688. 19074.4 Calculate 409*-2596. -1061764 Calculate -1.616*-2. 3.232 Work out -42 * 12585. -528570 Work out 6.58 * -122. -802.76 -0.17402*-3 0.52206 What is -100.629 times 0.1? -10.0629 What is the product of 0.048 and 0.21? 0.01008 0.1906 * 6.2 1.18172 Multiply -3 and 0.1478281. -0.4434843 Calculate 892301*-0.3. -267690.3 Work out 2445.2 * -21. -51349.2 8.222 * 0.14 1.15108 What is the product of -0.5 and -254140? 127070 Multiply -133 and 0.052. -6.916 What is the product of -34 and -34.3? 1166.2 Product of -19284 and 0.2. -3856.8 Multiply -10 and -1.17. 11.7 Product of 2.66 and 21. 55.86 -1 times 0.760882 -0.760882 Product of 0.0408 and 0.08. 0.003264 What is -22 times 3.1254? -68.7588 What is the product of 0.11 and -351? -38.61 Multiply 0.053 and -941. -49.873 Work out 0 * 20645.7. 0 What is -3 times 0.04559? -0.13677 -0.5*0.441 -0.2205 Calculate 117*2.234. 261.378 What is 363 times -28.9? -10490.7 What is -34 times -55.6? 1890.4 -760*220 -167200 Multiply -19 and -0.005887. 0.111853 -5.55 times 915 -5078.25 -64*398 -25472 Work out -48785 * 0.11. -5366.35 Work out -275 * -10148. 2790700 Work out -510 * -538. 274380 Calculate -496.8*-0.18. 89.424 What is the product of 12.7 and -2337? -29679.9 -2.5 times 0.1657 -0.41425 Calculate 0.85*206. 175.1 11 * -2360 -25960 What is the product of 10 and -5947.6? -59476 -763 times 28 -21364 -8 times -28352.3 226818.4 -0.7099322 * 0.4 -0.28397288 Calculate 14*-11500.3. -161004.2 Work out -0.88871 * 0.5. -0.444355 What is 0.2 times -9556? -1911.2 Product of 696 and -0.047. -32.712 0.18*-6417 -1155.06 -0.268*-1683 451.044 Work out 0.087 * -2245. -195.315 Multiply 4 and 660. 2640 -5724 * 0.04 -228.96 Product of 100295 and -43. -4312685 What is 100.82 times 12? 1209.84 2.48 * -15 -37.2 Product of -0.5 and -42238. 21119 Product of 466 and 2191. 1021006 Work out -72370 * -2.7. 195399 What is the product of -2995 and 1? -2995 Work out 17.3 * 396. 6850.8 0.152 times -162 -24.624 What is -0.09302 times 12.8? -1.190656 Multiply -282987 and -5. 1414935 -65499 * 0.08 -5239.92 0.3*-106739 -32021.7 Calculate -85*2.58. -219.3 0.7522 * -5 -3.761 -42.8 * 8.5 -363.8 What is 0.137 times -2.6? -0.3562 0.2999 times -1 -0.2999 Product of -837 and 0.1. -83.7 What is -0.3 times -716366? 214909.8 -0.4*45677 -18270.8 2.9*0.892 2.5868 Multiply 0.2046 and -0.155. -0.031713 What is 7154.1 times 14? 100157.4 31254*-0.02 -625.08 3*-11044.3 -33132.9 -0.5*4042 -2021 Product of -85 and 0.136. -11.56 Product of 1 and -0.918. -0.918 -2079.32*-0.22 457.4504 14538 * 8 116304 -47131*0.1 -4713.1 Product of 0.0
{ "pile_set_name": "DM Mathematics" }
13*u**2 - 302*u - 50. Let o(m) = 5*m**2 + 101*m + 17. Let h(n) = -11*o(n) - 4*y(n). What is the hundreds digit of h(10)? 6 What is the tens digit of 6116*((-16)/(-24) + 3*(-20)/(-72))? 7 Let k(o) = -5*o - 23. Suppose -1 = -3*u - 43. Let l be k(u). Suppose 5*j + l = 6*j. What is the tens digit of j? 4 Let n be 4/(-12) - (-14)/6. Suppose n*d = 2*i - 1520, 3*i = -2*i - d + 3776. Suppose f = 8*f - i. What is the units digit of f? 8 Let t(f) = -605*f - 1402. What is the units digit of t(-12)? 8 Let d(j) = -15*j - 4. Let m(n) = n**3 - 26*n**2 - n + 25. Let u be m(26). Let o be d(u). Suppose -2198 = -o*l - 207. What is the units digit of l? 1 Suppose -4*u + 0*s - 2*s + 1918 = 0, 3*u - 1446 = s. Suppose 10*c - 218 + 138 = 0. Suppose 0 = -c*h + u + 39. What is the units digit of h? 5 What is the hundreds digit of 20/1*(-3 - (-13325)/10)? 5 What is the thousands digit of (1/1)/(-7) + 1880190/910? 2 Suppose -5*g = -4*t - 6, 2*t - g = -0*t. Let b be 2/(6/t + -4). What is the units digit of (b/(-3))/(4/(-1500))? 5 Let i = -3219 + 2208. Let j = -312 - i. What is the tens digit of j? 9 Suppose n = 4*q + 9, 4*n - 2*q - 21 = 57. Suppose 16*x - 5845 = -n. What is the tens digit of x? 6 Suppose 0*b - 3*b + 10 = k, -2 = k - 3*b. Let w be (k + 12)*(21 - 1). Suppose -5*f + w = -75. What is the units digit of f? 9 Let a(i) = 139*i + 46. Let o be a(29). Suppose -o = -5*q + 2*v, -4*q + 3*v + 3115 + 148 = 0. What is the hundreds digit of q? 8 Let b(t) = t**2 - 5*t - 3. Let u be b(-1). Suppose u*q - p - 151 = 110, 2*p - 166 = -2*q. What is the units digit of q? 6 Suppose 5*h = 16 + 4. Suppose -10 = -3*r - v + 12, -5*r - 4*v + 53 = 0. Suppose h*t = 5*p + 625, 4*t - 3*t - 175 = -r*p. What is the units digit of t? 0 Let g be 13/(195/(-2920))*12/(-8). Let h = g - -877. What is the thousands digit of h? 1 Let w(z) = 0 - z + 20*z**3 + z**2 + 13 + 7*z - 47*z**3. What is the tens digit of w(-2)? 2 Suppose 232 = 5*h - 3*h. Let n be 4*(1230/(-12))/(-5). Let k = h - n. What is the tens digit of k? 3 Let c = -4527 + 7027. What is the tens digit of c? 0 Suppose 557*d = 590*d - 214302. What is the hundreds digit of d? 4 Let t(h) = 2*h**3 - 6*h**2 - 3*h - 3. Let q be t(6). Let v(y) = 330*y + 1654. Let g be v(-5). What is the hundreds digit of (8/g - 1)*q/1? 1 Let z = -151 - -281. Suppose -68 = z*d - 134*d. Let v(m) = 3*m - 26. What is the units digit of v(d)? 5 Let a(q) = -11*q**3 - 12*q**2 + 13. What is the tens digit of a(-13)? 5 Let r = 397 - 396. Let l(p) be the first derivative of 61*p**3 + 3*p**2/2 - p + 3. What is the tens digit of l(r)? 8 What is the hundreds digit of -6*((-18)/(-30) - 44/(-60))*-989? 9 Suppose -5*s = -3*m + 26152, 0 = -3*m + 276*s - 274*s + 26137. What is the units digit of m? 9 Suppose -l = 3*x - 19726, -2*l - x + 25349 = -14093. What is the units digit of l? 0 Let g(b) be the first derivative of b**4/4 + 2*b**3/3 - 5*b**2/2 - 3*b + 6. Let y be g(-3). Let v(f) = 10*f**2 + 5*f - 7. What is the units digit of v(y)? 8 What is the tens digit of (-63)/(-69) - (-2 + 3) - (-6682756)/1748? 2 Suppose -2*h + 1935 = -5*s, -4*s = h - 6*s - 970. Let k = h + -188. What is the units digit of k? 2 Let s(c) = -749*c**3 - 6*c**2 - 62*c - 150. What is the hundreds digit of s(-3)? 2 Let g(i) = 3*i**3 + 14*i**2 - 33*i + 42. What is the units digit of g(10)? 2 Suppose -3*v = 5*o - 37499, -49960 = -4*v + 15*o - 12*o. Suppose v = 8*a + 1229. What is the thousands digit of a? 1 Let b = 4519 + -8. Let v = b + -3211. What is the tens digit of v? 0 Let m(t) be the first derivative of 13*t**3/3 + t**2/2 - 7. Let u be m(-1). Let z = 68 + u. What is the units digit of z? 0 Let c(p) = -3*p + 63. Let l be c(28). Let a = 22 - l. Suppose -a = -x + 7. What is the units digit of x? 0 Let u = 89 - 82. Suppose -3*o + 121 - 499 = -3*b, 5*o = -2*b - 630. What is the hundreds digit of (66/(-9))/(u/o)? 1 Let a(y) be the first derivative of 16 + 10*y + 3*y**2 + 1/3*y**3. What is the units digit of a(-12)? 2 Suppose o = 2*a + 8650, 5*o - a = -6*a + 43235. What is the tens digit of o? 4 Let d(g) = 125*g**3 + 7*g**2 - g - 3. Let j be d(2). Suppose -j = 6*z - 9*z. What is the hundreds digit of z? 3 Let x = 41278 - 26744. Suppose -x = -22*t - 4832. What is the tens digit of t? 4 Suppose 79*x = 75*x + 5*q + 70445, x + 5*q - 17580 = 0. What is the tens digit of x? 0 Let c(y) = -65*y + 9. Suppose -2*n - j = 7, 4*n - 5*j = -9*j - 8. What is the tens digit of c(n)? 3 Suppose -16*b = -15*b - 369. Suppose 345 = 6*n - b. Let a = 199 - n. What is the tens digit of a? 8 Let g be 3 + (3 + -3 - 0). Suppose 0 = 3*j - g*x - 693, -2*j + 4*x = -0*x - 472. What is the tens digit of j? 2 Let q = 10917 - 2420. What is the tens digit of q? 9 Suppose -5*g - 4*p + 37070 = 1418, -4*p = 2*g - 14256. What is the tens digit of g? 3 Suppose -5*v + 289 - 259 = 0. Let i(n) = 9*n**2 + 3*n + 24. What is the units digit of i(v)? 6 Suppose -565*g + 566*g = 2*d + 2117, -8 = 4*d. What is the thousands digit of g? 2 Let q(a) = -2*a - 13. Let p be q(-8). Suppose p*g = 20 + 160. Suppose 20*m - 15*m = g. What is the tens digit of m? 1 Suppose -121218 - 130182 = -30*t. What is the units digit of t? 0 Let q = 286 - 276. Let d(j) = 59*j + 68. What is the units digit of d(q)? 8 Suppose -12*v - 13 = -1. What is the tens digit of (269 - (-2 + 18/6)) + v? 6 Let y = 3340 - 6238. What is the tens digit of -2*(-7 + y/12)? 9 Suppose 8178599 = 17*x + 126*x. What is the tens digit of x? 9 What is the units digit of 56/(-784) + 34556/56? 7 Let g = -1085 - -8724. What is the thousands digit of g? 7 Suppose -1891 = -2*d - 3*h, -2*h = -34*d + 29*d + 4775. What is the hundreds digit of d? 9 Let j(q) = 7*q - q**3 + 2*q**3 + 33*q - 16*q**2 - 211 + 5*q - 18*q**2. What is the units digit of j(33)? 5 Suppose -17 + 0 = -k - 2*t, 5*k = t + 129. Suppose -2*m = 5*g + m - 45, -5*g = -m - k. Let s(w) = 9*w + 2. What is the units digit of s(g)? 6 Let o(w) = -17 - 83 - 42 + 197*w. What is the tens digit of o(5)? 4 Let x(r) be the first derivative of -57*r**2 - 38*r - 7. Let m be x(-4). Let f = -210 + m. What is the tens digit of f? 0 Suppose -11*k - 525385 = -6*k - 40*k. What is the hundreds digit of k? 0 Let t(u) = -2*u**2 - 3*u. Let i be t(-5). Let j = i - -91. What is the tens digit of j + (10 - 4 - 3)? 5 Suppose 25504 + 83288 = 18*q. What is the units digit of q? 4 Let b be -2 - (-31)/3 - 5/(-3). Let j(h) be the third derivative of h**5/60 + h**4/24 - 10*h**3/3 - 4*h**2. What is the tens digit of j(b)? 9 Let v = 248 - 243. Suppose 5*k + x - 482 = -x, -k = -v*x - 91. What is the tens digit of k? 9 Let d(f) be the second derivative of -7/6*f**3 - 17/2*f**2 - 14*f + 0. What is the tens digit of d(-7)? 3 Let a = -133 + 130. Let g(s) = -6*s**3 - 5*s**2 - 5*s - 9. What is the units digit of g(a)? 3 Let k(w) = 29*w**2 + 110*w - 4110. What is the ten thousands digit of k(45)? 5 What is the thousands digit of 9 + 7515 + 5 - (-3)/2*-4? 7 Let w(r) = -3 - 18*r - 9*r**2 - 6 + r**3 - 13*r. Let d be w(13). Suppose -3*f - 5*h + 324 = 0, -2*f - 35 = -h - d. What is the hundreds digit of f? 1 Let x(v) = v**3 + 9*v**2 - 34*v - 14. Let t = -54 - 41. Let q = t - -84. What is the hundreds digit of x(q)? 1 Suppose 16*q = 3*q + 6279. Suppose n - 3*c - q = 0, -4*c + 677 + 772 = 3*n. What is the hundreds digit of n? 4 Suppose 0 = 2*q - 0*q + 6, 4*i - 5*q = 57471. What is the thousands digit of i? 4 Let s(h) = -16*h - 43. Let v be s(-5). Let b be -2 + 2 + (0 - -2). Let y = b + v. What is the units digit of y? 9 Suppose g - 1803 = -4*a, a - 719 = 2*g - 266. Suppose 5*o - a = 3*o - 3*d, -3*d - 9 = 0. What is the hundreds digit of o? 2 Suppose 32 - 36 = -2*p. Suppose 0 = -p*f - 4*y + 2522, 2*y + 2*y = -8. Suppose 5*n + 90 = f. What is the units digit of n? 5 Let h(n) = n - 4. Let q be h(6). Let j = -118 - -173. Suppose -q*g + j = -107. What is the tens digit of g? 8 Suppose 0*r = -6*r + 606. Let w = 71 - r. What is the units digit of (-2)/15 - 2074/w? 9 Let z = -5013 + 10138. What is the tens digit of z? 2 Let g = 57 - 0. Let o = g + -54. Suppose -171 = -o*y + 45. What is the tens digit of y? 7 Let n(q) = 4*q**2 + 485. Let r be n(0). What is the hundreds digit of (-2)/(-5)*r + -5? 1 Let z = 6 + -5. Suppose -a - 4 + 23 = 4*t, -t - a = -z. Suppose -4*g + 2*g - t = 0, -5*m + 278 = -g. What is the u
{ "pile_set_name": "DM Mathematics" }
ulate the lowest common multiple of 52 and 405. 21060 What is the common denominator of 46/13 and -139/6162? 6162 Calculate the common denominator of 79/3968 and 169/8520. 4225920 Calculate the lowest common multiple of 790 and 70. 5530 Calculate the common denominator of -22/49 and 59/2324. 16268 Calculate the common denominator of -65/4194 and 13/8388. 8388 What is the lowest common multiple of 12177 and 432960? 3896640 What is the common denominator of -11/195 and -92/43095? 43095 What is the smallest common multiple of 133 and 228095? 228095 Calculate the lowest common multiple of 182 and 6968. 48776 Calculate the lowest common multiple of 26257 and 539. 183799 Calculate the smallest common multiple of 160 and 1616. 16160 Find the common denominator of 13/1533502 and 93/1802. 1533502 What is the lowest common multiple of 12550 and 590? 740450 What is the common denominator of -81/1690 and 105/8788? 43940 Calculate the common denominator of -73/19764 and 109/162. 19764 Calculate the smallest common multiple of 1775 and 1300. 92300 Calculate the common denominator of 3/8 and -99/110416. 110416 Calculate the smallest common multiple of 1709594 and 16598. 1709594 Calculate the lowest common multiple of 11 and 5052914. 55582054 What is the lowest common multiple of 160 and 770? 12320 What is the least common multiple of 4725 and 228? 359100 Calculate the smallest common multiple of 396816 and 60. 1984080 Calculate the common denominator of 34/1551 and -8/770001. 8470011 What is the lowest common multiple of 33 and 4374? 48114 Find the common denominator of -75/3332 and 13/14280. 99960 Calculate the smallest common multiple of 27019 and 8567. 351247 Calculate the smallest common multiple of 672 and 174. 19488 What is the smallest common multiple of 41704 and 44? 458744 Calculate the least common multiple of 5959 and 404. 23836 What is the common denominator of -97/320 and 11/13408? 134080 What is the smallest common multiple of 54 and 10449? 20898 Find the common denominator of 163/30 and -107/1046478. 5232390 Calculate the common denominator of 61/1100 and -71/6960. 382800 What is the smallest common multiple of 1116 and 105? 39060 What is the lowest common multiple of 3 and 102501? 102501 Find the common denominator of -107/20026 and 65/93. 60078 What is the lowest common multiple of 2139 and 2047? 190371 What is the common denominator of -13/17768 and -33/15547? 124376 Calculate the least common multiple of 1050 and 900. 6300 What is the smallest common multiple of 141988 and 42? 425964 Calculate the common denominator of 73/384250 and 59/100. 768500 Find the common denominator of -59/8612 and -7/8612. 8612 Find the common denominator of -5/1918 and 143/4110. 28770 Calculate the least common multiple of 62070 and 15. 62070 Calculate the common denominator of -17/11 and -39/13736. 151096 What is the common denominator of -73/18 and -133/11169726? 33509178 Calculate the common denominator of -62/64975 and 47/51980. 259900 What is the common denominator of 145/2364 and -91/128? 75648 Calculate the common denominator of -145/6 and 115/46266. 46266 Find the common denominator of -17/66 and -40/5071. 30426 What is the least common multiple of 2853 and 5072? 45648 Calculate the common denominator of 91/127908 and -89/1224. 255816 Find the common denominator of -37/16 and 7/65496. 130992 What is the smallest common multiple of 1485 and 36828? 184140 What is the lowest common multiple of 4690 and 104? 243880 What is the common denominator of -39/743 and 44/196895? 196895 Calculate the common denominator of 83/615 and 5/183. 37515 What is the smallest common multiple of 30272 and 176? 30272 Calculate the least common multiple of 67004 and 1148. 2747164 What is the least common multiple of 224334 and 27? 673002 What is the common denominator of -145/408 and -99/1360? 4080 Find the common denominator of 77/4524 and -73/104. 9048 What is the common denominator of -41/173760 and -71/52128? 521280 Calculate the common denominator of 87/157672 and 11/2. 157672 What is the least common multiple of 624 and 118320? 1538160 What is the smallest common multiple of 20 and 4598922? 45989220 Calculate the common denominator of -52/847 and 12/2107259. 23179849 What is the common denominator of -43/165968 and -113/3936? 995808 What is the common denominator of 131/29478 and -39/68? 58956 What is the common denominator of 85/414 and -73/1932? 5796 Calculate the smallest common multiple of 8 and 13150. 52600 Calculate the lowest common multiple of 294 and 26607. 53214 Calculate the common denominator of -4/3741 and 35/319. 41151 Calculate the least common multiple of 6 and 419052. 419052 What is the common denominator of 95/1708 and -71/112? 6832 Find the common denominator of 83/339336 and 145/28278. 339336 What is the smallest common multiple of 213 and 66882? 66882 What is the smallest common multiple of 11880 and 360? 11880 Find the common denominator of 2/25137 and 13/3087. 175959 Calculate the common denominator of 7/3354 and -7/88322. 264966 Calculate the least common multiple of 444488 and 363672. 4000392 Calculate the common denominator of -139/3216 and 95/948. 254064 Calculate the smallest common multiple of 11861 and 94888. 94888 What is the lowest common multiple of 316632 and 8? 316632 What is the smallest common multiple of 2800 and 208? 36400 Find the common denominator of -61/279 and -83/57288. 171864 What is the common denominator of 55/7904 and 73/4? 7904 What is the lowest common multiple of 1953 and 206? 402318 Calculate the lowest common multiple of 28640 and 100. 143200 Find the common denominator of -8/6963 and -85/1688. 55704 Calculate the smallest common multiple of 460 and 6484. 745660 Calculate the common denominator of -43/34 and -19/21216. 21216 What is the common denominator of -1/4200 and -9/1225? 29400 Calculate the lowest common multiple of 675 and 347652. 8691300 Find the common denominator of -15/452 and 93/988. 111644 What is the least common multiple of 264510 and 2565747? 25657470 What is the lowest common multiple of 25 and 11615? 58075 Find the common denominator of 75/10012 and -13/12515. 50060 What is the common denominator of 105/2204 and 16/9? 19836 What is the common denominator of 101/12 and -89/7848? 7848 Calculate the smallest common multiple of 11968 and 215424. 215424 What is the smallest common multiple of 360 and 92304? 461520 What is the smallest common multiple of 60 and 5550? 11100 What is the lowest common multiple of 211392 and 7707? 1479744 Calculate the common denominator of -54/152165 and 3/16387. 1065155 Calculate the common denominator of -12/12601 and 52/3. 37803 What is the least common multiple of 8332 and 356? 741548 Calculate the least common multiple of 14 and 230506. 1613542 What is the lowest common multiple of 66 and 18690? 205590 What is the least common multiple of 148188 and 10? 740940 What is the common denominator of 71/40 and 9/1385? 11080 Calculate the common denominator of -85/74 and 3/2906572. 2906572 Calculate the smallest common multiple of 921 and 20262. 20262 Calculate the least common multiple of 765 and 5955. 303705 Calculate the common denominator of 64/1425 and 46/8037. 200925 What is the common denominator of 121/553880 and 53/346175? 2769400 Calculate the smallest common multiple of 4 and 38964. 38964 Calculate the smallest common multiple of 6185 and 5. 6185 Calculate the least common multiple of 427 and 1211. 73871 Find the common denominator of 161/5280 and 169/1320. 5280 What is the common denominator of 76/23463 and 53/10428? 93852 What is the common denominator of -125/42 and 91/272? 5712 Find the common denominator of -1/126 and -131/1129464. 1129464 What is the smallest common multiple of 4361 and 403? 1757483 What is the smallest common multiple of 317529 and 9? 317529 Find the common denominator of 55/6816 and -97/852. 6816 What is the least common multiple of 2 and 2256? 2256 Calculate the common denominator of -17/129990 and -85/6. 129990 What is the common denominator of -137/70 and -45/282709? 2827090 What is the common denominator of 61/114879 and -115/6? 229758 Calculate the common denominator of 71/22 and 73/62535. 125070 What is the lowest common multiple of
{ "pile_set_name": "DM Mathematics" }
et t = 665 + z. What is the third smallest value in 0.2, 5, -1, t? t Let g be (-7)/15*-18*18/54. Which is the smallest value? (a) 4 (b) -4 (c) g (d) -2/17 (e) 3/2 b Let w = 1311/4 + -655/2. What is the smallest value in -1/2, -18.2, -1, w, 3/4? -18.2 Let z = -7/642 - 50/321. Which is the fifth biggest value? (a) -0.5 (b) 1/4 (c) 17 (d) -5 (e) z d Let q be (-9)/20*704/528. Let m = -22 - -7. Which is the second biggest value? (a) -3 (b) -0.5 (c) q (d) m c Let z = 0.02474 + -2.02474. Which is the fifth smallest value? (a) -2/15 (b) z (c) 0.7 (d) 4 (e) 0.5 d Suppose 258*i - 83 = -203*i + 2683. What is the biggest value in 302/3, -0.5, i? 302/3 Let y = 0.3174 + 0.1826. Let j = -2 + 2.3. Which is the third smallest value? (a) -57 (b) j (c) y c Let b be 4/22*(1 + -2). Let h = 450895/42 - 21471/2. Let m be (-1 - 0)*2/(-6). What is the fourth biggest value in 2, m, b, h? b Let q = 14.813 - 15. Let t = q + -0.313. What is the second biggest value in 0.5, 3, t, 2/7? 0.5 Let d = 37.43 - -4.37. Let w = 42 - d. What is the fourth biggest value in -2, 0.5, -0.1, w? -2 Let j be 3/((-189)/(-6))*9/(-6). What is the second biggest value in -5, -1/2, j? -1/2 Let i = -6954.6 + 6955. Let m = 25 - 37. Which is the smallest value? (a) 0.2 (b) m (c) 5 (d) i b Let w = 306 + -304. Suppose 3*n = -r + w*r + 3, 6*r + 3*n = -18. Let b = -2/35 - -9/35. What is the second smallest value in r, 1/7, -5, b? r Let j = -150.178 - -150. Let x = j - 0.122. Which is the third smallest value? (a) 2/13 (b) x (c) -5 a Let k = -18308.4 + 18308. Let w = -3 - -3.2. What is the second smallest value in w, 442, k? w Let x = 7018 + -7555. Which is the second biggest value? (a) x (b) -5 (c) -0.3 b Let w = 343.8 + -379. Let a = -35 - w. What is the second smallest value in 2, -3, a? a Let x = 3.7021 - 0.7021. Which is the third smallest value? (a) x (b) 20/29 (c) -22 a Let h = -4142 - -4141.9. What is the third biggest value in -48/871, 0.4, h, 2? -48/871 Let y = 24 - 44. Let p be ((-30)/y)/((-6)/(-16)). Let x be (3/(-9))/(3/(9/p)). Which is the fourth biggest value? (a) 2 (b) x (c) -9 (d) 0.5 c Let t = 34295/9 - 3811. What is the fourth smallest value in 0.4, t, 5/7, -2/3? 5/7 Let o be (-3)/(-6) + (0 - 1). Suppose 201 + 339 = 15*z. Let p be (2/z)/((28/(-16))/7). Which is the third biggest value? (a) o (b) -0.06 (c) p a Let q = 810 - 7280/9. Which is the second biggest value? (a) q (b) -0.1 (c) 11 (d) -4 a Let w = -4563.5 - -4564. What is the biggest value in 1.1, 0.31, w? 1.1 Let i = -3462 - 2242. Let j be (i/(-1424) + -4)*-2. Which is the second biggest value? (a) 1/2 (b) 4 (c) j a Let z = -529.4 - -525.4. What is the third smallest value in z, -1/2, -30, 0? -1/2 Let q be (-31)/(-5) + -6 + 36/20. Let v = 9 - 6. Let k = 1054/35 - 152/5. What is the fourth biggest value in v, k, 2/9, q? k Let i = 13 - 9. Let g = -8809.5 - -8810. What is the second smallest value in 0, i, g? g Let v = 233 + -303. Let x be 1/(10/4) + 58/v. Which is the smallest value? (a) x (b) 0.5 (c) 0.11 a Let t = 3615 + -3615. Which is the biggest value? (a) -55 (b) -1/2 (c) t (d) -5 c Let o = 7156 - 7151. Let j = 4 + -5. Which is the biggest value? (a) j (b) o (c) 31 c Let a = 1 + 1. Let u be ((-3927)/(-9) + 3)/((-290)/(-18)). Let t = -136/5 + u. What is the fourth biggest value in 5, 1, t, a? t Let z = 0.054 - -1.096. Let q = z - 1.05. Let f = -4.7 + -0.3. What is the third smallest value in -4, f, 0.3, q? q Let f be (-115)/(-1) - (-39)/1638*0. What is the smallest value in 4, 2/7, f, 0? 0 Let r be 2 + (-4414)/(-1764)*-3 - -5. Let t = r + 1/147. Which is the second biggest value? (a) -4 (b) t (c) 0.1 (d) 0.8 c Let q = -24 - -28. Let n = 9936820463/2041 + -4868604. Let l = -1/157 + n. What is the third smallest value in q, 1.7, l? q Let v = 0.41 - 0.11. Let h = -1127 - -1126.9. Which is the smallest value? (a) -9 (b) v (c) h a Let v = 55.771 - 58.47. Let y = v - 0.301. What is the smallest value in 1, -7, y? -7 Let d = -11.4 - 0.5. Let r = -8.9 - d. Let v = 0.44 - 0.5. What is the biggest value in -4, r, v? r Let z = -26/145 - 11554/13195. Let c = z - -10/13. What is the smallest value in 0.3, c, -1/5, -1.6? -1.6 Let n = 13255 + -13257. What is the fourth smallest value in -11, 5, 1/5, n? 5 Let u = 129377/13 - 9952. Let a = -26 + 4. What is the second biggest value in a, u, 4, -5? u Let n(j) = -8*j + 29. Let s be n(3). Suppose -4*g + 0*g - 159 = 5*u, -s*g + 4*u = 250. Let l = 1 - 3. Which is the third smallest value? (a) 1 (b) g (c) l a Let p = 5.5 - 8.8. Suppose q = -23 + 24, -r + 1175 = -q. Let x = r + -1174. What is the second biggest value in -5, p, x? p Let n = -29898 - -29897. Let r(h) = -h**3 + 18. Let v be r(0). Let l be 23/v - 4/(-18). What is the third biggest value in n, 4, l? n Let g = -4637 - -4636.6. What is the second smallest value in g, 22/29, 2/7? 2/7 Let n be (-3)/(-1) - (-25)/(-9). Let j be 1246/(-564) + (54/(-12))/(-3). Let q = -2/47 - j. Which is the biggest value? (a) q (b) n (c) 2 c Suppose 4*v - 4*k = 748, 23 = -2*v - 2*k + 385. What is the fourth biggest value in v, -2/17, -2/9, -2/15? -2/9 Let u = -68.355 + 69. Let d = -0.575 + u. What is the smallest value in -4, 1/9, d? -4 Let m = 10 - 14. Let d = -20/119 - 39/476. What is the third smallest value in -2, d, 2, m? d Let b = 1782 - 1781.8. What is the biggest value in 0.07, 2/105, b? b Let j = -20.16 - -25.16. Which is the second biggest value? (a) -3 (b) 16.7 (c) 2 (d) j (e) -0.4 d Let t = 68325 + -751577/11. Let j = 87/124 - -3/62. What is the biggest value in 3/2, j, t? 3/2 Let j = 45 + -41. What is the fourth smallest value in 0.1, 3, j, -329? j Let r(o) = o - 12. Let k be r(10). Let g be 522/(-693) + k/(-11). Let l be 196/210*30/63. Which is the fourth biggest value? (a) 1 (b) g (c) l (d) -5 d Let u = 316.9 - 317. Suppose -3*j = -4*j. Which is the second smallest value? (a) 2/3 (b) j (c) u b Let s = -1.14 - 7.86. Let o be 9/6 - (-481)/(-296). Which is the second smallest value? (a) 4 (b) -4 (c) o (d) s b Let r = 381.662 - 382. Let g = -0.338 - r. What is the third smallest value in 1/4, -0.07, g? 1/4 Let z = 1 + -0.5. Suppose 47*p + 2139 + 3219 = 0. What is the second smallest value in p, 3, z? z Let p = -99.5 - -99.2. What is the third biggest value in p, -5, -1, 0.5, -14? -1 Let o = -2101/4 - -525. What is the third biggest value in o, 4, 2.8, -2.1? o Let i(x) = 239*x - 959. Let r be i(4). Suppose 2*k - 3*k + 4 = -2*t, -t - 16 = -4*k. Suppose t = 4*z - 48 + 20. What is the third smallest value in r, 1, z? z Let u = 0.14 + 2.22. Which is the third biggest value? (a) 2 (b) u (c) 0 c Let u = 0.907 + -0.197. Let b = -2055/11 + 187. What is the second biggest value in b, u, -4? b Let j be (2/(-14))/((-774)/(-903)). Let r = -0.72 + 0.8. Which is the second smallest value? (a) -5 (b) -0.4 (c) r (d) j b Let q = -26711 - -26704. Which is the second biggest value? (a) 19 (b) -5 (c) q (d) 1 (e) 2 e Let v(z) = 178*z + 42. Let w be v(2). Let f = -2770/7 + w. Which is the third smallest value? (a) f (b) 2/13 (c) 4 c Let k = 4808 + -4771. Which is the fourth smallest value? (a) 0.7 (b) k (c) 3 (d) -5 (e) -1 c Let i = 29/6 - 13/3. Let p = 2.95 + -3. Let b = -40655 - -40654. What is the fourth biggest value in i, -2/3, p, b? b Let p = 2446 + -12233/5. Let z be 0*(-4)/(-12) + 12/(-15). What is the second smallest value in p, -42, 4, z? z Let k = -0.34 - 0.06. Let p be -14*2/40*(-7 - 416/(-56)). Which is the third biggest value? (a) 2 (b) p (c) k (d) -1/3 d Let w be (-4)/6*27/(-1080)*-105. What is the smallest value in w, 6, 1, 1/4? w Let n = 439/135 - 77/27. What is the third biggest value in -1, n, -0.5, 8, -0.6? -0.5 Let o = 0.10399 + -0.10399. What is the third smallest value in 40, o, 0.3? 40 Let u = -0.59 - 0.01. Let f = 6.24 - 4.24. Which is the biggest value? (a) u (b) -2/5 (c) f c Let s = -1.9 + 5.6. Let j = 1022 + -1018.8. Let t = j - s. Which is the smallest value? (a) t (b) -2/9 (c) 5 a Let j = 5.6 + -5.6. Let v be (16/14)/((-234)/(-273)). Which is the fourth biggest value? (a) -5 (b) j (c) 2 (d) v a Let d = -11 + 23. Let x = -860 + 860.4. Which is the third biggest value? (a) x (b) d (c) 2/7 c Let r be ((-32)/(-8) - (-1
{ "pile_set_name": "DM Mathematics" }
. -27 What is 1 + 6 + -17 + (-17 - -3)? -24 -3 + 8 - (-11 + (2 + -15 - -19)) 10 What is the value of (40 - 23) + -37 - (2 + 4 + 1)? -27 Evaluate 1 - 12 - (61 + -20 - 20 - 17). -15 -1 + (4 - 15) + 21 - 13 -4 6 + 1 + 5 + -15 + -3 -6 -2 - -12 - (7 - (14 + 7)) 24 What is the value of 12 + 8 - -5 - 9? 16 Evaluate -1 - (-14 - (-8 - 2 - (-81 + 82))). 2 Calculate -25 + 0 + 4 + 10 + -4. -15 Evaluate 0 + -17 + (19 + 14 - -10). 26 4 - -5 - (10 + (-10 - (3 - 7))) 5 What is -2 + 17 + (-69 - -74)? 20 1 - 10 - ((-10 - (13 - 9)) + -3) 8 11 - ((-19 - -21) + 1 + -3 + -2) 13 What is the value of (0 - -46) + -86 + (-61 - -140)? 39 Calculate -19 - (-6 - ((1 - -3) + -7 - -1)). -15 What is -4 - (-2 - -2 - -3) - 0? -7 What is (-3 - (-1 - -5) - 2) + (3 - -2)? -4 8 - (2 + (12 - (6 + -18))) -18 (54 - 56) + (-2 - (3 + -4)) -3 Evaluate (-1 - -27) + (10 - (54 + -53)). 35 Calculate 14 + 21 - (-85 + 141). -21 What is the value of -6 - (-11 + 0 - 1) - (-1 + 23)? -16 What is -4 - (10 + -10 + 3 + 1 + 4)? -12 12 + (-27 - (-5 - 7)) - (2 + 2) -7 What is the value of 0 + 1 - 0 - (0 - (-6 + 3))? -2 What is -20 + 7 - (-30 + 9)? 8 Evaluate (290 - 251) + (-23 - -1). 17 What is the value of (1 + -38 - -20) + 9? -8 What is the value of 1 + 33 + -5 + (86 - 92)? 23 What is the value of (2 - -2) + (-10 - -1) - 2? -7 Evaluate 23 + (-2 - (-3 - -3)). 21 (10 - 73 - -36) + -4 -31 What is the value of (50 - (34 - (37 - 19))) + -9? 25 What is -2 + (-6 - (17 + 6) - -5)? -26 What is 3 + (0 - -2 - -2)? 7 5 + -3 + (-2 - -4) + -2 + 1 3 Evaluate -18 + (15 - 17 - -9). -11 Calculate 0 + (8 + (-11 - -21 - -16) - 8). 26 -3 - -3 - (4 - -26 - (13 - 18)) -35 0 + -3 + (11 - (27 - 17)) - 15 -17 Calculate -13 - (17 + -12) - -15 - 4. -7 Calculate -131 + 130 - (10 + -5 + 7). -13 (41 + -6 - 46) + 3 -8 What is 5 - (10 - (9 + -2))? 2 Evaluate 1250 + -1276 - (-6 + 0 - (-1 - -2)). -19 What is -8 - (0 - -5 - (24 + -23))? -12 What is -10 + 5 + -1 + 2 + 8 + -8? -4 Evaluate 12 + -71 + 50 + -2 + 5 + -3. -9 What is the value of -1 + -2 + -1 + 1 - (-89 - -84)? 2 Calculate (1 - -2) + 3 + -29 + (-28 - -31). -20 Evaluate 207 + -208 - (2 + 1). -4 Calculate 29 + -73 + 15 + 15. -14 Evaluate (-16 - (-3 + 3) - -4) + -3 - -5. -10 Evaluate 8 + (10 - (0 + 11)) - 2. 5 What is 1 + 17 + -19 - -10? 9 Calculate (-25 - (-11 - (25 - 19))) + 13 + -1. 4 What is the value of -2 + (26 - -1) + -5 + 43 + -42? 21 Calculate 30 - (-2 - (-11 - (-11 + 7 - 1))). 26 Calculate 24 + -5 + ((7 - -1) + -4 - 5). 18 What is (-4 - (-10 - 2)) + (2 - 8) + -23? -21 -15 + (-29 - -80) - 62 -26 What is the value of 54 + (36 - 72) - 28? -10 What is the value of -16 + 10 + (15 + -12 - 14 - -9)? -8 15 + (-6 + -8 - (-7 - -3)) 5 Evaluate 34 + -28 + 18 + 2. 26 What is the value of 13 + -18 + -10 - (-6 + 1) - -2? -8 What is -33 + 5 + 10 + (24 - 11 - 14)? -19 Evaluate 44 + (-17 - (49 + -23)). 1 3 - (-1 - (-3 + 1)) - 5 -3 Calculate -12 + 8 + 31 + -6 + (0 - 7). 14 5 + -1 + (8 + -5 - 0) 7 What is (37 - 15) + -57 + 27? -8 What is the value of -72 + (1 - -35) - -37? 1 What is the value of 11 + -23 - -38 - (4 + -3 - 4)? 29 What is 2 - 0 - (80 - 67) - (-1 + -3)? -7 27 - ((-20 - -39) + -9) 17 17 - 12 - -4 - 3 6 What is the value of 26 - (5 - (-10 - (-23 + 10)))? 24 Evaluate -38 - (-2 + (-53 + 38 - (-9 - 0))). -30 (2 - 8) + 49 - 26 17 Evaluate -1 + -15 - (229 + -239). -6 Evaluate (-1 - 13 - (100 + -102)) + 17. 5 What is -8 - ((3 - 9) + 2 + -6)? 2 Evaluate (-42 - -1) + 63 + (24 - 82). -36 What is (8 - (-9 - -10)) + -25 + (-3 - -4)? -17 Evaluate (2 + -1 - 11) + (1 - (8 - 10)). -7 What is the value of 0 + (-13 + 16 - (1 - -6)) + 1? -3 Evaluate -1 + -4 + (-9 + -9 - -13) + 9. -1 What is 17 + (-8 + (-8 - 6) - -10)? 5 Evaluate -8 - (25 + (11 - 24)). -20 What is -10 + (-9 - (-4 + 4 + -11 + 11))? -19 Calculate -50 + 54 + (0 - (-2 + -1 + 2)). 5 Evaluate -11 + (20 + -9 - 17) + (-11 - 0). -28 Calculate (15 - 8) + 18 - (-1 - 1 - 4). 31 What is -9 + (-12 + 0 + 8 - -10)? -3 What is the value of -29 - (-47 - (24 - 41))? 1 What is -154 + 132 + 36 + 1? 15 Evaluate (30 - 23) + -1 + 4. 10 What is (-3 + -12 - (26 - 31)) + -2 + 1? -11 Calculate 23 + -6 + (-28 - -28). 17 Evaluate 9 - (-99 + 92 + (9 - (1 - 1))). 7 1 - (-16 - (-12 + 0)) 5 What is 9 + -38 + -17 + 5 + 13? -28 Evaluate 0 - 9 - -7 - 35. -37 What is (5 - 4) + 3 + (-4 - 4) + 16? 12 What is 1 + 9 - (-1362 + 1391)? -19 Calculate (-168 - -159) + (5 - (3 + -5)). -2 -13 + 23 + -8 - (1 + 0 - 9) 10 What is 314 + -325 + 0 + -1? -12 What is 8 + (17 - 9) - ((11 - 7) + -1)? 13 -1 - (0 + 13) - (1305 - 1311) -8 What is the value of 4 + -14 + ((1 - 1) + -5 - 3)? -18 Evaluate (61 - 38) + 7 + 8 + -20. 18 What is the value of (14 - -1) + (-454 - -432)? -7 What is -5 + 1 + -1 + (18 - 5)? 8 What is -7 - (-20 - (3 + -5) - (-7 + 9))? 13 Calculate 13 - (8 - (16 + -3)) - 5. 13 What is -36 - (15 + 2 - 33)? -20 What is the value of 0 + -60 - -60 - (0 - (0 - -1))? 1 (19 - 27 - 11) + 35 16 What is the value of -25 + 13 - (-40 - -50)? -22 (-331 - -326 - (10 + -1)) + (-6 - -1) -19 What is the value of -11 + -2 + 4 - ((-4 - -1) + 4)? -10 Evaluate -1 - (3 - (-9 - -6)). -7 What is (58 - 74) + 8 + 0 + 9? 1 What is 3 + 3 + (-17 - -18 - (1 - -1))? 5 What is 25 + (-6 - 4) - 4 - 27? -16 20 - (7 + (7 - 5) + -2) 13 What is 19 + -10 + 0 + -2 + 3? 10 What is the value of (-9 - -1) + -6 + 0 + (-135 - -137)? -12 (18 - 21) + -8 - 10 -21 Evaluate -26 + 0 + (38 - (-10 + 39)). -17 Evaluate 1 + -4 + -2 + -4 + 33 + -5. 19 35 + (38 - 103) + -2 -32 -36 - -9 - -42 - -4 19 What is (-13 - -11) + -4 + 14 - (2 - -1)? 5 Calculate -3 + (-2 - 2) - (-28 - -5 - -3). 13 (0 - 5 - -16) + -20 + 19 10 What is the value of 33 + -15 + -12 + 3 + -2 + -34? -27 What is the value of 3 + (-7 - -4 - 3) + (25 - 28)? -6 What is -1 + -2 - -1 - (-265 + 241)? 22 16 + (-6 - -11 - 15) + (-8 - -13) 11 -2 - (-6 - (5 - 4) - -4) 1 Evaluate (6 - (-6 - -7)) + (-5 - (-12 + -5)). 17 6 + -1 - (16 - 16) - 8 - -3 0 What is 10 + (33 - -1 - 71)? -27 What is -3 + (-6 - (-9 - -2 - -2 - -11))? -15 Calculate -5 - -6 - (4 + 15 - 1). -17 Calculate -13 + (-8 - (-9 - -6)) + 9. -9 What is (-6 - -1) + 134 + -139? -10 Calculate -26 + 7 - -24 - -19. 24 What is -19 + 22 + 0 + -23? -20 Calculate 12 - -1 - (-25 - (13 + -30 + 3)). 24 What is 0 - ((-13 - -15) + -6) - (-1 - 2)? 7 -3 - (-8 - (2 + 4 - 4)) 7 What is 24 - (-5 - -6 - -6) - 24? -7 What is the value of (-24 - -22) + -3 - -2? -3 Evaluate -2 + 1 + -10 + 14 + 3. 6 Calculate -8 - (5 + (-14 - -2)). -1 -25 - (-18 - (-34 + 29)) -12 (14 + 9 + -5 - 6) + (2 - -2) 16 Evaluate 1 - (5 + -7 + 2 - 4). 5 What is the value of 9 + -19 + 3 + (0 - 2) + -2? -11 What is the value of 9 - (45 + (25 - 49))? -12 Evaluate 0 + 4 + -5 + (2 - -7 - 7). 1 5 + (1 - -4 - 0 - 4 - 5) 1 What is 0 + -10 + 5 + 9 + (1 - 0)? 5 What is -469 + 484 - (-2 - (2 - 48))? -29 Calculate (-2 - (16 - 23 - (-1 - 5))) + 1. 0 4 + 14 + (-1 - 10) + 3 + -7 3 What is the value of 12 - (-21 - (-7 - 2 - (-37 + 40)))? 21 What is the value of (-1 - 1) + 9 - (-2 + 11 - 15)? 13 Evaluate 22 + (24 - -11) - 31. 26 What is 11 + -6 + 5 + 4 + -16? -2 Evaluate -128 + 129 + -1 + -12 + 2. -10 6 + (-15 - (-23 - -24 - (1 + -8))) -17 -21 + 10 + 28 + -14 3 What is the value of -6 + 2 + -3 + 1 + 5 + 4? 3 Calculate -13 - ((-117 - -133) + 2 + -2). -29 Evaluate 13 + (1 - 7) + -4 + 11. 14 What is (0 - -21) + (50 + -41 - (-2 - -13))? 19 Calculate 14 - (-33 - (-32 - 9)). 6 What is the value of -1 + 0 - 2 - (-16 - -15) - -6? 4 What is 2032 + -2026 + 2 + 7 + -1 + -1? 13 What is (-36 - -45) + -14 + (-1 - -2)? -4 What is the value of 11 - (-2 - (-16 - -24 - 10))? 11 What is -3 - ((26 - (-8 + 24)) + -24)? 11 What is the value of -1 - (-2 - 3) - (4 - (4 + -4))? 0 Calculate 2 - (-3 - (-7 + -1)) - 6. -9 What is 14 + -3 + -4 + -2 + 14? 19 21 - (-17 + 36) - (-1 - 3) 6 What is 2 + (-9 + 14 - 1) + (-10 - 1)? -5 Evaluate 10 + (11 - (35 + -27)). 13 Calculate (1 - 6) + -10 + 8 + -4. -11 8 - (9 + 1 + 2) - -5 1 What is 2 + (2 - -6) + -9 + (14 - 0)? 15 What is (21 + -4 - 17) + -15 + 3? -12 What is (-2 - 0) + (-2 - 9 - -3 - -8)? -2 (10 - 1) + -11 + 13 11 What is the value of 31 + -25 + 2 + -5 + 21? 24 Evaluate (12 - 1) + (16 - 11) - 14. 2 Evaluate 24 + -39 - ((-1 - 3) + 8). -19 What is the value of 8 - (23 - 28 - (-2 + 4))? 15 Calculate (6 - -4) + -21 + (5 + -10 - -5). -11 Evaluate -1 + -7 + -5 + 2
{ "pile_set_name": "DM Mathematics" }
2*f**2 - 4*f Let k(t) = 6*t**3 - 4*t**2 - 5*t. Let c = -10 + 13. Suppose -12*p + 8*p = 0, -c*p - 25 = 5*f. Let q(b) = -7*b**3 + 5*b**2 + 6*b. Calculate f*k(u) - 4*q(u). -2*u**3 + u Let b(j) = -3*j**2 + 1. Let r(t) = -17*t**2 - t + 4. Give 11*b(a) - 2*r(a). a**2 + 2*a + 3 Let m(r) be the second derivative of r**3/6 - r**2 - r. Let p be -6*(115/(-69) + 4/6). Let c(w) = w - 2. Give p*m(t) - 7*c(t). -t + 2 Suppose 0 = -3*n + 3*o + 3, 2*n + 2*o + 10 + 0 = 0. Let s(t) = 1. Let r(q) = -2*q**3 - 2. Give n*s(y) - r(y). 2*y**3 Let k(o) = 11*o - 1. Let s(u) = -2. Determine -k(i) + 3*s(i). -11*i - 5 Let d(t) = -519*t**2 + 7. Let i(n) = 173*n**2 - 2. Determine 2*d(r) + 7*i(r). 173*r**2 Let i(a) = -39*a**3 - 2*a**2 + 4*a + 2. Let x(k) = -155*k**3 - 9*k**2 + 18*k + 9. What is 9*i(f) - 2*x(f)? -41*f**3 Let y(d) = -144*d - 10. Let r(q) = -69*q - 5. Determine -9*r(u) + 4*y(u). 45*u + 5 Let a(t) = 2*t + 6. Let l(i) = 5*i - 5. Let p(r) = -6*r + 7. Let g(w) = -5*l(w) - 4*p(w). Calculate -3*a(s) - 5*g(s). -s - 3 Let a(h) = -3*h**2 + h**2 + 1 + 1 - 2*h**2. Let v(r) = r**2 - 1. Let t(m) = -m. Let z be t(-6). Let g be (0 - 0 - -1)*2. Determine g*a(d) + z*v(d). -2*d**2 - 2 Let g(j) = -11*j**3 - 7*j**2 - 7*j + 8. Let h(w) = 5*w**3 + 4*w**2 + 3*w - 3. Determine -3*g(s) - 7*h(s). -2*s**3 - 7*s**2 - 3 Let w(b) = -b + 1. Let s(d) = -30*d - 11. Determine -2*s(n) - 22*w(n). 82*n Let w(s) = 3*s - 5. Let c(t) = 2*t - 4. Let q be -2 - (-3 - -4*4). Let d be (-11 - -5)*q/18. What is d*c(k) - 4*w(k)? -2*k Let b(w) = -4*w**2 + 2*w**2 - 6*w + 105 - 102. Let o(k) = 2*k**2 + 7*k - 4. Determine -5*b(m) - 4*o(m). 2*m**2 + 2*m + 1 Let g(r) = -r + 5. Let s(u) be the first derivative of -3*u + 6. Let d = -3 + 4. Let q = -2 - d. What is q*g(k) - 5*s(k)? 3*k Let q(c) = c**3 - c**2 + c. Let k(a) = -6*a**2 + 8*a**3 + a**3 - 1 - 15*a**3 + 3*a + 8*a**3. Calculate -k(s) + 3*q(s). s**3 + 3*s**2 + 1 Let b(x) = 6*x**2 + 9*x + 5. Suppose 16*i = 53*i + 222. Let c(k) = 7*k**2 + 9*k + 6. What is i*b(m) + 5*c(m)? -m**2 - 9*m Let q(j) = -2*j - 1. Suppose 7 = -5*w - k + 20, -4*k - 2 = 2*w. Let i(t) = 2*t + 2. Give w*i(f) + 4*q(f). -2*f + 2 Suppose -5*i - l = -11, -2*l - 2 + 6 = i. Let g(s) = 2. Let z(q) = q + 1. Let x = 5936 - 5937. Determine i*z(h) + x*g(h). 2*h Let j(n) = -n. Let d(g) be the third derivative of -g**5/120 + 11*g**3/3 + 17*g**2. Let v(q) be the first derivative of d(q). Give 5*j(c) - 3*v(c). -2*c Let j(n) be the second derivative of 3*n**5/20 + 5*n**4/12 - n**3/6 - 7*n**2/2 + 226*n. Let r(b) = -5*b**3 - 8*b**2 + 2*b + 11. What is -8*j(c) - 5*r(c)? c**3 - 2*c + 1 Let w(h) = -3. Let n(k) = -2*k + 56. Calculate -n(i) - 2*w(i). 2*i - 50 Let y(j) = 17*j**2 + 3*j. Let x(h) = 34*h**2 + 8*h. What is -4*x(c) + 10*y(c)? 34*c**2 - 2*c Let f(d) = -20*d - 401. Let x(b) = -17*b - 400. What is -5*f(z) + 6*x(z)? -2*z - 395 Let x(u) = 6*u**2 + 87*u + 3. Let j(p) = -8*p**2 - 130*p - 4. Determine 5*j(v) + 7*x(v). 2*v**2 - 41*v + 1 Let r(o) = 3*o**2 + o - 1. Let a(s) = -14*s**2 + 8*s + 3. Give a(z) + 4*r(z). -2*z**2 + 12*z - 1 Let q(b) = -8*b. Let h(c) = c. Suppose 0 = -u + 4*s + 17, 0*u = -3*u - 3*s - 9. Determine u*q(p) + 16*h(p). 8*p Let w(t) = 3*t**3 - 3*t**2 - 4*t. Let m(k) = 3*k**3 - 4*k**2 - 5*k. Determine -2*m(q) + 3*w(q). 3*q**3 - q**2 - 2*q Let z(d) be the first derivative of 2*d**2 - 2*d - 7. Let t(l) = 4 + 3*l - 10*l + 0. Suppose 0 = -6*i + 7 - 37. Determine i*z(p) - 3*t(p). p - 2 Let h(s) = -2*s + 5. Let p(m) = -5 + 0 + 6. Let f(w) = h(w) - 5*p(w). Let j(r) = -r**2 + 1. Let x = 3 - 4. What is x*f(y) - j(y)? y**2 + 2*y - 1 Let o(t) = -t**2 - t + 1. Let x = 81 + -75. Let b(f) = 2*f**2 - 3*f + 3. Determine x*o(n) - 2*b(n). -10*n**2 Let j(k) = 5*k**2 + 3*k + 3. Let i(c) = -5*c**2 - 4*c - 4. Let f(r) = 6*i(r) + 7*j(r). Let o(z) = -5*z**2 + 2*z + 2. Determine 4*f(y) + 6*o(y). -10*y**2 Let r(z) = -217*z**2 + 3*z + 10. Let v(f) = -218*f**2 + 2*f + 6. Give 2*r(c) - 3*v(c). 220*c**2 + 2 Let g(i) = -385*i**2 - 462*i - 154. Let n(p) = -p**2 - 3*p - 1. Give -3*g(f) + 462*n(f). 693*f**2 Let f be (44/55)/((-4)/10). Let l(q) = -q. Let x(a) = a**3 - a**2 - 2*a - 1. Let c be x(-1). Let v(i) = -1. Calculate c*l(n) + f*v(n). n + 2 Let q(s) = -39*s + 5. Let p(z) = -158*z + 22. Give -2*p(t) + 9*q(t). -35*t + 1 Suppose -q = -3*x - 0*q + 3, -9 = 3*x - 5*q. Let s(o) = -38 - 38 + 77 - o**2 + x*o**2. Let v(f) = -4*f**2 - 2. What is -2*s(g) - v(g)? 2*g**2 Let o(r) = 8*r**3 + 9*r**2 - 11*r - 9. Let l(p) = -2*p - 36. Let w be l(-16). Let h(u) = 4*u**3 + 4*u**2 - 5*u - 4. Determine w*o(m) + 9*h(m). 4*m**3 - m Let j(d) = d - 1. Let a(p) = -2*p + 2. Let w(x) = -x**2 + 16*x + 6. Let n be w(16). Suppose -n*k = -10*k + 16. Give k*a(o) + 9*j(o). o - 1 Let o(t) be the second derivative of t**3/3 - 163*t. Let z(y) = -3*y. What is 6*o(a) + 7*z(a)? -9*a Let z(i) = -20*i - 28. Let w(v) = -9*v - 14. Determine -14*w(p) + 6*z(p). 6*p + 28 Let o(l) = 104*l**2 + 11. Let a(n) = -26*n**2 - 3. Calculate -9*a(g) - 2*o(g). 26*g**2 + 5 Let a(t) = -5*t**2 - 9*t + 14. Let y(s) = 11*s**2 + 19*s - 30. What is 13*a(q) + 6*y(q)? q**2 - 3*q + 2 Let d(x) = -x**3 - 4*x**2 - 2*x - 2. Let c(k) = k**3 + 3*k**2 + k + 2. Suppose 1 + 3 = -4*v, 2*a + 3*v + 9 = 0. Calculate a*d(b) - 4*c(b). -b**3 + 2*b - 2 Let u(o) = -7*o - 5. Let c be u(-1). Let v(p) = 3 + 106*p**2 - 210*p**2 + 103*p**c + 5*p. Let l(q) = 2*q**2 - q**2 - q + 6 - 7. Calculate 3*l(t) + v(t). 2*t**2 + 2*t Let c = -493 - -496. Let q(n) = 2*n**3 + 6*n**2 - 6. Let y(x) = x**3 + 2*x**2 - 2. What is c*q(v) - 8*y(v)? -2*v**3 + 2*v**2 - 2 Let s(t) = -4*t**2 + 5*t - 1. Let x(q) = -5*q**2 - 5*q. Let r(i) = 28*i**2 + 27*i. Let p(w) = 2*r(w) + 11*x(w). Determine 15*p(g) + 3*s(g). 3*g**2 - 3 Let c(y) = -9*y + 11. Let b(k) = 1. Let a(j) = -6*b(j) + c(j). Let x(l) = -2*l + 12. Let t(z) = 3*z - 9. Let f(p) = 3*t(p) + 2*x(p). Determine -3*a(w) - 5*f(w). 2*w Let c(d) = 7*d**3 + d**2 - 3*d + 6. Suppose -3*z + 17 - 41 = 2*t, -4*t - 4*z = 40. Let g(a) = -13*a**3 - 2*a**2 + 6*a - 11. What is t*g(w) - 11*c(w)? w**3 + w**2 - 3*w Let h = 178 + -185. Let q(n) = 8*n**2 - 7. Let v(j) = j**3 - 9*j**2 + 8. Give h*q(z) - 6*v(z). -6*z**3 - 2*z**2 + 1 Let q(v) = 313*v**3 + 2*v**2 + 2. Let w(i) = 314*i**3 + 3*i**2 + 3. What is 3*q(x) - 2*w(x)? 311*x**3 Let k(o) = -o + 1. Let b(v) = -3*v. Let a(c) = -b(c) + 5*k(c). Suppose 56*w + 12 = 52*w. Let u(h) = -5*h + 11. Determine w*u(z) + 7*a(z). z + 2 Let m(t) = -3*t**2 + 3*t - 6. Let n(h) = -2*h**2 + 4*h - 8. Give -4*m(x) + 3*n(x). 6*x**2 Let u(r) = -r**3 - r**2 + 1. Let v(s) = -49*s**3 + 42 - 178*s + 178*s - 42*s**2. Determine -42*u(l) + v(l). -7*l**3 Let c(t) = -3*t**2 + 4*t - 4. Let i(u) = -u**2 + u - 1. Suppose 3*k + 2*k - 10 = -5*f, 4*k - 14 = -2*f. Suppose 0 = k*d + d + 6. Calculate d*c(o) + 4*i(o). -o**2 Let u(t) = 4*t**3 + 2*t**2 + 4*t - 3. Let k(l) = -1 - 10*l**2 - l**3 + 13*l**2 + 2 - 4*l**2 - l. What is 6*k(o) + 2*u(o)? 2*o**3 - 2*o**2 + 2*o Suppose -2*w = -3*w - 3. Let t be (-6)/(-4) - 6/(-12). Let u(q) = -4*q - q**3 - 6*q**3 + q - t + 8*q**3. Let y(f) = 2*f**3 - 5*f - 4. Give w*y(m) + 5*u(m). -m**3 + 2 Let r(o) = 2*o**2 + 5*o. Let y(g) = 9*g**2 + 24*g. Let n be 5291/52 + 1/4. Let s be n/(-4) + 6/4. Determine s*r(v) + 5*y(v). -3*v**2 Let v(n) = -16*n + 1. Let z(l) = -13*l + 2. Let a(x) = 5*v(x) - 6*z(x). Let y(g) = g + 4. What is -6*a(i) - 11*y(i)? i - 2 Let d(p) = -22*p**3 - 9*p**2 + 10*p - 9. Let o(a) = -a**3 - a**2 + a - 1. What is 2*d(s) - 18*o(s)? -26*s**3 + 2*s Suppose 2*g - 5*x = g - 14, 20 = 4*g - x. Let a(v) = g*v**3 + 44*v - 44*v. Let s(w) = 3*w**3. Determine -4*a(t) + 9*s(t). 3*t**3 Let d(l) be the third derivative of 1/6*l**3 + 3*l**2 + 0 + 0*l - 1/24*l**4. Let t(p) = -3. Let g = -66 - -68. Determine g*d(y) + t(y). -2*y - 1 Let b(x) = -14*x**3 + 7*x - 5. Let i(l) = 13*l**3 - 6*l + 4. Let u be ((-18)/8 - 0)/(111/296). What is u*b(w) - 7*i(w)? -7*w**3 + 2 Let r(j) = -j - 4. Let g(c) = 2*c + 9. Let d = -89 + 102. Give d*r(b) + 6*g(b). -b + 2 Let z(w) = -2*w**3 + 245*w + 5. Let t(j) = -2*j**3 + 244*j + 4. Determine -5*t(c) + 4*z(c). 2*c**3 - 240*c Let m(z) = -440*z + 28. Let i(c) = 147*c - 10. Determine -17*i(a) - 6*m(a). 141*a + 2 Let m(w) = -w**2 - 1. Let s(o) = -4*o**3 + 36*o**2 + 36. Let y = -822 - -820. What is y*s(p) - 72*m(p)? 8*p**3 Let p(r) = 110*r**3 + 4*r.
{ "pile_set_name": "DM Mathematics" }
) = -7*v**3 + 7*v**2 + 6*v - 4. Let n(d) = -8*q(d) + 5*u(d). Does 15 divide n(b)? True Let y(p) = -4*p**3 + 2*p**2 - 2*p + 1. Let o be y(1). Let d be 1/(o/(1*24)). Let b(a) = -a. Is b(d) a multiple of 5? False Let y = -3 - -5. Let j = y + -2. Suppose -5*f + j*f = -60. Is 12 a factor of f? True Let y(k) = 7*k**3 + 7*k**2 + 5*k - 21. Let d(l) = -3*l + 0*l - 3*l**3 + 10 - l**3 + 0*l - 4*l**2. Let f(n) = -5*d(n) - 3*y(n). Is 13 a factor of f(0)? True Let z = 21 + 9. Is 10 a factor of z? True Let q be (194/6)/((-10)/(-30)). Let u = 145 - q. Does 16 divide u? True Suppose -94 = -4*q + 5*a, 2*a + 50 = 2*q - 2*a. Is q a multiple of 7? True Let o = -1 + 1. Suppose o = -4*s + 2*s. Suppose -3*u + 2*u + 16 = s. Is 5 a factor of u? False Let u = 285 - -35. Does 10 divide u? True Let l be (-2)/10 + 129/(-5). Let d = 38 + l. Is d a multiple of 12? True Let v = -10 + -31. Let q = -10 - v. Does 11 divide q? False Suppose 3*d = 45 - 138. Let g be ((-3)/(-1))/(6/(-4)). Is 12 a factor of 1/((g/2)/d)? False Suppose 8 = 7*t - 6*t. Is 4 a factor of t? True Let q be (0 + (-3)/(-6))*22. Let j = q + -7. Suppose -12 = -j*y + y, -4*l = -2*y - 48. Is 14 a factor of l? True Is (-1*82/5)/((-46)/115) a multiple of 9? False Suppose 3*s + 121 = 4*s + p, 0 = -s + 5*p + 97. Suppose 0 = -5*u - 3*f + 125, 2*f - f + s = 4*u. Is 14 a factor of u? True Suppose 2*r = 5*w - 4*w + 59, -5*r = 5*w + 265. Let t = -20 - w. Suppose -c = a - t, -4*a - 12 = -c + 8. Is c a multiple of 16? True Suppose 44*w + 18 = 46*w. Is 4 a factor of w? False Does 28 divide 385/14*6/5? False Suppose -1540 = -5*q - 0*q. Is 12 a factor of q? False Let p(o) be the second derivative of 17*o**3/3 + o**2 - 2*o. Let m be p(3). Suppose -3*s = -m + 23. Is s a multiple of 14? False Let c(k) = 2*k**2 + 7*k. Is c(5) a multiple of 17? True Let q(m) = 4*m**3 + 8*m**2 + 5*m + 3. Let o(f) = -7*f**3 - 15*f**2 - 10*f - 6. Let d(t) = -6*o(t) - 11*q(t). Let w be d(-3). Let n = w - 35. Does 14 divide n? False Let i be ((-188)/(-6))/((-4)/(-6)). Let y be (6 + -5)/((-1)/31). Let u = y + i. Is u a multiple of 15? False Let x be ((-2)/3)/(1/3). Let p(d) = -d**3 + 7. Let l be p(0). Does 6 divide (-6)/x + l + 0? False Let m = 363 + -192. Suppose 3*c - m = -4*d, 247 = 5*c - 5*d - 3. Does 14 divide c? False Let w be (-15)/(-6) + (-4)/(-8). Suppose -f - 7 = 2*r - 76, -2*r + w*f = -65. Is r a multiple of 17? True Let o = -210 - -309. Does 16 divide o? False Let r be 18/3*(-2)/(-6). Suppose 0 = -4*h - r*m + 626, -m = -3*h - 0*m + 467. Suppose 4*q = 2*x + h, 2*x + 74 = 2*q - 0*q. Is q a multiple of 21? False Does 21 divide 942/12 + (-4)/8? False Is (-6)/(-27) - (-50)/18 even? False Let d be (-6)/(-4)*(-20)/(-6). Suppose 2*k + 8 = 5*t - 4, d*k = -3*t + 32. Suppose 0 = -4*v - 5*z + 121, -124 = -k*v + 3*z - 7*z. Is 13 a factor of v? False Suppose 4*j - 27 = 2*h - 3*h, -4*h = 4. Let n(i) = 4*i + 20. Is 11 a factor of n(j)? False Let y be 10/(-3)*12/(-10). Let x(h) = -2*h + 0*h + 21*h**2 + y*h + 1. Is x(-1) a multiple of 10? True Let o = 6 - 11. Let j = -5 - o. Suppose -2*k = 5*l - 199, j = -7*l + 2*l + 3*k + 189. Does 15 divide l? False Let t(o) = 17*o**2 - o - 2. Is 9 a factor of t(-1)? False Let f(p) = 3*p**2 + 1 + 3*p + 4*p + 5 - p**2. Is 16 a factor of f(-5)? False Let z = -38 + 8. Let u = z - -53. Is 10 a factor of u? False Suppose 0 = 4*w - 0*w - 32. Let j be (w + -2)/((-4)/30). Let y = 88 + j. Is 12 a factor of y? False Let j = 58 - 40. Let r = -15 + j. Is 3 a factor of r? True Suppose b - 2*d - 3 = 7, -5*b + 5*d = -30. Is 9 a factor of b + 31 - (-1 - 2)? True Let c(o) = -10*o - 11. Suppose -4*f + z = -19, -f + 5*z + 6 = -13. Let y(b) = 5*b + 5. Let w(t) = f*c(t) + 7*y(t). Is 13 a factor of w(-7)? True Suppose z + 86 = 5*j, -22 = 2*j + 2*z - 54. Is j a multiple of 6? False Suppose 193 = 4*n - 59. Suppose -u + n = 18. Does 14 divide u? False Let j(h) = -19*h**2 + 15*h + 6. Let q(n) = 9*n**2 - 7*n - 3. Let y(p) = 6*j(p) + 13*q(p). Does 9 divide y(-3)? True Suppose 2*c + 4*w - 2*w = -4, 6 = -2*c - 4*w. Let k = 12 + c. Is 7 a factor of k? False Let z(m) = m**3 - 11*m**2 - 10*m + 13. Let q be z(10). Let k = 265 + q. Is k a multiple of 17? False Let z be -3 + 1/(3/9). Let n(s) = s**2 - 7*s + 1. Let c be n(6). Let k = z - c. Does 5 divide k? True Suppose 4*z + 4 = -3*g, -z - 4*z + 5*g = -30. Is z a multiple of 2? True Let n(b) = b + 9. Let j be n(-6). Suppose j*s = -20 + 50. Does 7 divide s? False Let k(s) = 23*s - 1. Let y(h) = 3*h. Let f(o) = 3*k(o) - 24*y(o). Is 2 a factor of f(-4)? False Let m(q) = q - 5. Let g be m(7). Suppose -3*c = -i + 75, 59 = g*i - 3*c - 79. Is i a multiple of 21? True Suppose b + 105 = 4*b - 3*n, -5*b + 155 = -n. Suppose -b = -r - 4*r. Is 3 a factor of r? True Let a(u) = u**2 + 2*u - 4. Let j be a(-3). Let s be ((-4)/5)/(4/(-90)). Is j/(-2) + s/4 even? False Suppose 4*a - 5*v + 29 = 0, 2*v - 14 = -a - v. Let i(u) = 52*u**2 + u + 1. Does 24 divide i(a)? False Let d = 17 + -20. Let l = d - -9. Does 3 divide l? True Is 224 - (0 - -1 - (-5 - -8)) a multiple of 21? False Suppose -a - 23 = -3*d + 3*a, 4*a + 18 = -2*d. Does 26 divide 40 + d/((-3)/(-6))? False Suppose 1 = 2*b - 1. Is (31/3)/(b/3) a multiple of 10? False Suppose -2*z + 5*q = z - 320, 3*q - 116 = -z. Suppose -4*k + 153 = 5*s, 4*s = -4*k + 46 + z. Does 21 divide k? True Let z(u) = -u. Let f be z(-4). Suppose f*b - 179 = 9. Is 20 a factor of b? False Let o(i) = -4 - 1 + 0 - 2*i. Let r be (-6)/(-15) - (-111)/(-15). Is 7 a factor of o(r)? False Let c(q) be the second derivative of -q**5/20 - q**4/4 + 5*q**3/6 - 5*q**2/2 - q. Is 10 a factor of c(-5)? True Let o(f) = 6*f**2 - 8*f + 3. Is 9 a factor of o(4)? False Let p = -160 + 328. Does 12 divide p? True Let j = -7 - -6. Is j*(-1)/1 + 7 a multiple of 4? True Is 27 a factor of (-4)/(-10) - (-268)/5? True Let d be 8*(38/(-8) + 1). Is 4/d + 2992/165 a multiple of 9? True Is (-5)/(15/(-9)) - -55 a multiple of 11? False Let f(h) = h**3 + 5*h**2 - 8*h + 4. Is f(-4) a multiple of 5? False Suppose 0*o + 4*o - 776 = -5*n, 288 = 2*n - 4*o. Is 8 a factor of n? True Suppose -u + 3 = -0. Is 14 a factor of (-28)/(6/(u + -6))? True Suppose 3*m - 370 = -2*m - 5*s, -4*m + 281 = -s. Is 8 a factor of m? False Let n(m) = m**3 - 11*m + 4. Does 22 divide n(6)? True Let r = 12 - 9. Let i = r + 26. Does 29 divide i? True Does 13 divide 0/1 - -29 - 1? False Let l(i) = -i**2 - i - 2. Let m be l(-3). Let x(b) = b**3 + 7*b**2 - 11*b. Is 12 a factor of x(m)? True Suppose -3*i = -15, -85 = k + k + 5*i. Let g = -33 - k. Is g a multiple of 11? True Let w(n) = n. Let p(f) = f**2 + 1. Suppose -q + 6 = 2*q. Let k be p(q). Does 2 divide w(k)? False Suppose -u + 10 = n, 2*n + 3 = 4*u - 7. Suppose -u*s + 85 = 3*y, -2*s = 5*y - 0*s - 129. Does 16 divide y? False Let k(o) = o**3 + 7*o**2 + 6*o + 11. Is k(-5) a multiple of 8? False Let m(h) = 7*h**2 - 9*h + 11. Let y(c) = -c**2 - 1. Let b = -21 - -15. Let l(x) = b*y(x) - m(x). Is 13 a factor of l(6)? True Suppose -3*d = b - 72, -b - d + 62 = -0*b. Does 19 divide b? True Let b(d) = -d**2 + 7*d. Let z be b(7). Suppose -3*g + 3 = -2*g. Suppose g*f - 45 = -z*f. Does 15 divide f? True Let y(u) = -6*u + 7. Let d be y(-5). Let v = -19 + d. Is v a multiple of 6? True Let c(h) = -h**2 + 9*h + 1. Suppose 3*o - 5 - 7 = 0. Is 5 a factor of c(o)? False Let n(y) = -y**2 - 4 + 6*y - 6*y - 2*y**3. Does 13 divide n(-3)? False Suppose 6 = -3*d - 5*x, 4*d = -5*x - 3 - 0. Let n = d - -2. Is n a multiple of 3? False Let k = 72 + -27. Does 15 divide k? True Let p = -263 + 443. Is 34 a factor of p? False Let q(o) = -o**2 + 13 - 3*o - o - 4*o. Let w be q(-9). Suppose -3*r - 164 = -w*n, -2*r = 2*n + 2 - 70. Is 16 a factor of n? False Is 884/6 - ((-70)/15 - -4) a multiple of 27? False Let r(n) be the second derivative of -n**4/12 - n**3/6 + n**2/2 + n. Let i be r(-3). Let j = 11 + i. Does 4 divide j? False Let c(z) = z**3 - 4*z**2 + z - 4. Let q be c(4). Suppose q = -3*y + y + 10. Suppose -y*k - 2*r = -133, -5*k - 105 = -10*k + 5*r. Is k a multiple of 10? False Suppose 0 = 5*a - 649 - 301. Is a a multiple of 10? True Suppose 2*y + 10 = 0, -m + 3*y = -6*m + 210. Is 15 a factor of m? True Let p be -6*((-130)/4 + 2). Let o = p + -125. Is o a multiple of 26? False Suppose -3*r = -4*q + 206, -3*q = 2*r - 66 - 80. Is q a multiple of
{ "pile_set_name": "DM Mathematics" }
s the units digit of r(-14)? 1 Let v = 297 + -294. Suppose -2*f + v = 1, -3181 = -4*n + 3*f. What is the hundreds digit of n? 7 Suppose -15 = 5*w - 4*h, 3*w - 2*h + 18 = -w. Let j(t) = -8*t - 22. Let m be j(w). Suppose 11 = -k + m. What is the tens digit of k? 2 Suppose 147 + 403 = 25*b. Let p(r) = r**3 - 22*r**2 + 22*r - 63. What is the tens digit of p(b)? 2 Let b(h) = -4*h**2 - 6*h - 13. Suppose 14*z - 12 = 17*z. Let u be b(z). Let n = -43 - u. What is the units digit of n? 0 Let q(w) = -3*w**3 - 2*w**3 + 0 - 4*w - 5*w**2 + 5 + 4*w**3. Let y be q(-4). Suppose 4*n - 5*d - 330 = -117, 240 = y*n - d. What is the tens digit of n? 4 What is the units digit of 7438/4 + ((-60)/8 - (-7 - 0))? 9 Suppose -11*o = -13*o - 12. Let q(m) = m**3 + 10*m**2 + 20*m + 34. What is the units digit of q(o)? 8 Let t = -5970 + 11224. What is the units digit of t? 4 Let h(q) = -q**3 + 10*q**2 - 16*q - 10. Let n be h(4). Suppose 39*r = n*r + 27030. What is the tens digit of r? 9 Let t(m) = m**2 + 11*m + 7. Let o be t(-11). Let v = 3 - o. What is the units digit of (-52)/v - (0 - -4)? 9 Let t(c) = -c**3 + 23*c**2 - 15*c - 18. Suppose -4*o + 3*b + 81 = 0, 66 = 5*o + 4*b - 43. What is the units digit of t(o)? 9 Let b = 737 - 682. Let n = 10 + -6. Suppose -3*k = -n*k + b. What is the units digit of k? 5 Suppose 44 = 33*r - 55. Suppose k - 225 = 2*b, 779 = 3*k + r*b + 149. What is the hundreds digit of k? 2 Suppose -5*q + 95 = -3*w - 155, 2*q - w = 99. Let z = 401 + q. What is the hundreds digit of z? 4 Let d = 103 - 123. Let r be (21 + d)*(-1 + 6). What is the units digit of r/((-10)/93)*8/(-6)? 2 Let x = 2292 + -1244. Suppose 0 = 2*d + 106 - x. Suppose -4*v + 384 = 4*w, w - 5*w = -5*v + d. What is the units digit of v? 5 Let w = -162 + 167. Suppose w*u = 5, -p - 46*u = -44*u - 527. What is the hundreds digit of p? 5 Let a be ((-80)/(-100))/(4/390). Let q = 202 + a. Let b = q - 149. What is the units digit of b? 1 Let g(j) = -2*j - 44 + 3*j + 52 - 8*j**2 + 3*j**2. Let z(y) = -21*y**2 + 3*y + 31. Let r(u) = -9*g(u) + 2*z(u). What is the hundreds digit of r(-7)? 1 Suppose 3*m - 4*m - 3*t = -6, -3*t + 9 = 0. What is the units digit of 4 + 415 + m + -8? 8 Let n(a) = -11*a + 22. Suppose 35 = 5*x + 75. What is the hundreds digit of n(x)? 1 Suppose 2*c - 4*n = -519 + 12329, 5*c - 4*n = 29525. What is the thousands digit of c? 5 What is the tens digit of 38423 + 2 - (32/(-12) + (-4)/12)? 2 Let b(w) = 365*w + 417. What is the hundreds digit of b(4)? 8 Suppose -166*g + 1148734 = -1421776. What is the hundreds digit of g? 4 Let n(h) = -9*h**2 - 2*h - 1. Let g(a) = -a**3 + 7*a**2 - 13*a + 5. Let i be g(3). Let o be n(i). Let m = o + 106. What is the tens digit of m? 6 Let p(w) = -w**3 + 50*w**2 + 71*w + 489. What is the units digit of p(49)? 9 Let j(g) be the second derivative of 19*g**3/6 - 50*g**2 - 52*g. What is the tens digit of j(12)? 2 Let i = 123 - -33. Suppose l - i = -2*c, 4*c - 308 = -0*l - l. Let w = 152 - c. What is the tens digit of w? 7 Suppose 8*r + 8334 = 5*d + 11*r, -2*r - 8319 = -5*d. What is the tens digit of d? 6 Let c(i) = i**3 + 26*i**2 - 19*i - 479. What is the tens digit of c(-25)? 2 Let u(s) = 3*s - 19. Let r be u(-6). Let x = r - -43. Suppose x = -q + 83. What is the units digit of q? 7 Let s(r) = -299*r + 18. Let l be s(-2). Let q = -333 + l. What is the hundreds digit of q? 2 Suppose -2*j = 338 - 1724. Suppose -3*w + j = 3*c - 0*w, -2*c = 3*w - 459. Suppose -3*m - 4*v = -147 - 207, -2*m - 2*v + c = 0. What is the hundreds digit of m? 1 Let q = -139 + 53. Let p = q - -147. Suppose -3*h + 2 = -p. What is the units digit of h? 1 What is the hundreds digit of 2/(-15) + 354816/270 - (4 + 2)? 3 Let g = 8 + -5. Suppose -4*c - c = 4*k - 1319, -271 = -c + k. Suppose 3*p - g - c = 0. What is the units digit of p? 0 Suppose -2*j + 32 = 2*j. Let s be (-1)/(-2)*j + 58. What is the tens digit of 1*(s - (-4)/(-2))? 6 Suppose 4*h - 550 + 2102 = 0. Let z = -79 - h. What is the units digit of z? 9 Let k be 332/6*342/(-76). What is the tens digit of 34/51*k/(-2)? 8 Let j = 222 + 874. Suppose -5*k + d = -j, -k - 4*d = -301 + 86. What is the tens digit of k? 1 Suppose 15*j - 314815 = 20*j - 5*k, 4*j = -3*k - 251824. What is the thousands digit of (-3)/4 - (5 - j/(-52))? 1 Let w(y) = 7*y**2 - 9*y - 7. Let u(x) = x**3 + x**2. Let o(b) = u(b) + w(b). Let m be o(-9). What is the units digit of (3 + 1)/(6*m/(-1449))? 8 Suppose -a + 5483 = -7471. What is the units digit of a? 4 Suppose -8*y + 24*y + y = 320195. What is the thousands digit of y? 8 Suppose -18*t - 311 = 67. Let j = -157 + 82. Let n = t - j. What is the tens digit of n? 5 Suppose -170*u + 322 = -169*u. Suppose -u = -2*f + 368. What is the tens digit of f? 4 Let i = -3237 + 3321. Suppose -o + 0*o + 44 = 0. Suppose -4*x = -i - o. What is the units digit of x? 2 Let l = 14705 - 7743. What is the thousands digit of l? 6 Let m = -40213 - -69351. What is the hundreds digit of m? 1 Let f(z) = 269*z + 478. What is the tens digit of f(18)? 2 Suppose 201 + 199 = -4*s. Let h be 120 + 1 + 0/(-2). Let d = s + h. What is the units digit of d? 1 Let k = -8 + 19. Let b = 43 - k. Suppose -75 = -s + 2*v + b, -5*v = -4*s + 443. What is the tens digit of s? 1 Let p = 5028 - 3315. Suppose 2*q + 2*v - 289 - 565 = 0, -3*v + p = 4*q. What is the hundreds digit of q? 4 Suppose -51*w + 16791 = -46*w - 3*g, 3*g + 10077 = 3*w. What is the hundreds digit of w? 3 Suppose 5*s - 16345 = -l + 7578, -s - 3*l = -4779. What is the tens digit of s? 8 Let k(i) = -11*i + 9. Let n(r) = -4*r - 3. Suppose -18 = 2*y + 4*d, 4*d - d = y - 16. Let u be n(y). What is the units digit of k(u)? 6 Let y be -7 - -1 - (-2 + 16/(-4)). Suppose -q + 1321 = 4*n, y = -5*q + 3 + 2. What is the tens digit of n? 3 What is the tens digit of 43720/40 + 0 + -2? 9 Suppose 21 = b - 2*o, -2*b - o - 1 + 38 = 0. Let z(k) = 5 + 15*k - b*k + 0*k**3 + 4*k**3. What is the tens digit of z(2)? 2 Let t be (15/(-25))/((-3)/10). Suppose -1066 = -4*q + 2*h, t*q - q + h - 262 = 0. What is the hundreds digit of q? 2 Let i(n) = 62*n + 1. Let k be i(-2). Let c = 170 + k. Suppose 542 - c = 9*t. What is the tens digit of t? 5 Let k be (7 - 16)*2/(-6). Let l(b) = 77*b - 39*b + 16*b**2 - 35*b - k. What is the tens digit of l(1)? 1 Let x(m) = -2*m + 7077. What is the tens digit of x(94)? 8 Suppose 7*d - 8*d = 13. Let q be (-2)/d - 18384/(-156). Suppose s = 3*g + 38, 2*s - q = -2*s - 5*g. What is the units digit of s? 2 Let z = -525 - -525. Suppose 2*h - 1942 = 2*y, 4*h - 4*y + 2*y - 3888 = z. What is the units digit of h? 3 Let m = 4038 + -2585. Suppose f + 56 = -4*l + m, -333 = -l + 3*f. What is the tens digit of l? 4 Suppose a + 5*q - 1409 = -390, -3*a + 3045 = 3*q. What is the tens digit of a? 1 Suppose -4*i - 85933 = -5*m + 41776, -2*i - 2 = 0. What is the thousands digit of m? 5 Suppose -k = -5*k + 536. Suppose -7*u = -2*u - 310. Let m = k - u. What is the units digit of m? 2 Let o(g) = -103*g - 575. What is the hundreds digit of o(-19)? 3 Suppose 0 = 5*h + 25 - 35. Let r(i) = -7*i + 1. Let c be r(-6). Let q = h + c. What is the tens digit of q? 4 Let z = 21514 + -12528. What is the units digit of z? 6 Suppose 3591163 - 408403 = 45*k. What is the hundreds digit of k? 7 Suppose 5*s = 7*p - 6*p + 80, 0 = -p + 3*s - 88. What is the hundreds digit of p/12*-59 + 2/(-3)? 4 Suppose 3*v + 69 = 4*c, -3*v = -6*c + 3*c + 72. Let q = 124 + -196. Let j = v - q. What is the tens digit of j? 4 Let x be -2 - (-39)/15 - (-156)/(-10). Let a = 278 + x. What is the hundreds digit of a? 2 Suppose 10*p - 5613108 = 5*p - 186*p. What is the hundreds digit of p? 3 Suppose -239*f + 1277335 = -757750. What is the units digit of f? 5 Let n be 22308/(-24) + (-3)/2. What is the units digit of n/(-38)*(-3 - 10/(-2))? 9 Suppose -11*z + 156 = -581. Suppose 2*j - 972 = 5*u + z, 2*j = -5*u + 1029. What is the tens digit of j? 1 Let p(y) = 27*y + 100. Let r(s) = 10*s**2 - 69*s + 4. Let c be r(7). What is the hundreds digit of p(c)? 3 Let u be 4/(-14) + (-2)/(56/1868). Let a = 69 + u. Suppose -3*b + 96 = -q - 144, -a*b = -q - 160. What is the units digit of b? 0 Let r(x) = -1107*x - 2118. What is the hundreds digit of r(-28)? 8 What is the hundreds digit of 12/(-9)*((-115415)/20 + 4)? 6 Let u(r) = r**2 + 4*r - 162. Let o be u(11).
{ "pile_set_name": "DM Mathematics" }
*n - 10*n = 110. Solve -a + 4*h = -n, -2*a - 2*h - 2*h = 2 for a. 3 Let l be 0 + -4*4/(-8). Let z be 4/(-2) - (1 - 3). Suppose z = -4*f + 13 + 15. Solve a = -l*i + f*i + 10, 3*i - 7 = -2*a for i. -1 Suppose r + 187 = -3*w + 5*r, -2*r = -5*w - 321. Let x = 73 + w. Suppose f - x = -3. Solve -u = y, -y - u - f = u for y. 5 Let b = 158 - 66. Suppose b*f = 78*f + 70. Solve 2*c + f*o + 20 = -3*c, c - 5*o - 26 = 0 for c. 1 Let p be 25/(-75)*(2 - 5*86/2). Solve y + p*w + 13 = 74*w, 31 = 3*y + 5*w for y. 2 Let z(p) = 7*p + 109. Let c = -91 + 76. Let u be z(c). Solve 2*f + 7 = -2*s - 1, u*s = -f - 19 for f. 1 Let p = 6204 - 6199. Solve 0 = -4*n + p*f + 4, 0 = 5*n + 4*f - 2 - 3 for n. 1 Suppose -5*t - 5*g = -3*g - 56, -2*t - 3*g = -29. Suppose t = -2*r, 2*j + j = -5*r - 13. Solve 4*b - 5 = 15, 4*b = 4*d + j for d. 4 Let q be ((-28)/12 - -5) + 32/(-12) + 3. Solve 3*t + 14 = q*b + 2*t, -27 = -4*b + 3*t for b. 3 Let b be (-33)/(-6) - (-425)/(-170). Solve 4*z = -i - 9, -2*z + 4*z - b*i + 1 = 0 for z. -2 Let z(q) = 252*q - 19. Let v be z(-1). Let t = -268 - v. Solve 9 = 2*m + f, 4*f - 1 = t*m + 2 for m. 3 Suppose -4*u + 17*u = 78. Suppose u*j = -2*j + 16. Solve -3*c = -2*c - 2*p - 1, -j*c - 12 = 3*p for c. -3 Let d = -9 + 0. Let q = d + 14. Suppose 0 = -63*u + 88*u - 75. Solve 0 = u*j + j + q*h + 15, 0 = -5*h + 5 for j. -5 Let x(p) = p**2 + 21*p + 72. Let q be x(-17). Solve -q*n = -3*j + 10, n + 20 = -4*j + 8 for j. -2 Let x = -2132 + 2177. Solve 0 = -5*c + 2*a + 15, -x = c - 2*a - 40 for c. 5 Let q(v) = 6*v**3 - 3*v**2 + v - 1. Let c be q(1). Solve 2*a - 4 = r, -5*a = -5*r - 2 - c for r. 2 Suppose 80*f - 82*f = -2*b - 14, 14 = -4*f - 3*b. Solve -f = -m - 4*h - 16, -m - 5*h = 19 for m. 1 Suppose -6 - 4 = -5*s. Suppose -7*y - 14*y = -42. Suppose 2*c + 7 = -q, y = -s*c - 8. Solve -4*o = 5*k, -o = -q*k - 2*o for k. 0 Let l(t) = -5*t - 21. Let r be (1 - (0 + 28/4)) + -4. Let b be l(r). Solve -2*x + 2*a = -16, 0 = 2*x - 3*a - b + 8 for x. 3 Let w = 1 - -8. Let n(p) = -3*p**2 - 15*p - 6. Let y be n(-4). Suppose y*d = 82 + 56. Solve -2*l + w - 2 = -r, -5*r - d = -4*l for l. 2 Suppose 14*p = 3*p - 572. Let r = p + 54. Solve -r*x - 14 = -3*f, 0 = -2*x + 2*f - 3 - 7 for x. -1 Suppose -73*d - 405 + 863 = -637. Solve -4*u = -5*n - d, n + 3 = 3*u + 2*u for n. -3 Suppose 63*d - 218 = 1 + 159. Solve 0 = 4*q + 4*b - 8, d*b - 5*b = 4*q + 7 for q. -1 Let x(o) = -9*o - 6. Let j be x(-1). Solve 0 = 5*u - 5*g + 40, -j*g + 12 = g for u. -5 Let c be -11 - (3 + (-3 - -4)). Let r(y) = y**2 + 12*y - 28. Let l be r(c). Solve 4*i - 7 = 3*b + l, -2*b - 17 = -3*i for i. 3 Let s(f) = -4*f - 23. Let m be s(-7). Suppose 0 = -m*o + 20, -5*w + 82 = -5*o - 113. Let n = -27 + w. Solve -2*h - 2 = 0, 5*z + 5*h = -4 - n for z. -3 Suppose 4*g - 30 = -4*s + 3*s, -2*s = g - 25. Let z be 70/(-7) + (-13 - -20). Let n be (-1 + 1)*(z - (-25)/s). Solve 2*d + j = -n*j + 7, -3*d + 12 = j for d. 5 Suppose -2*y - 230 = -5*k + 3*y, 5*y = -4*k + 220. Let r be (k/15)/((-15)/(-18)). Solve 7*c = 3*c, -r*q - 4*c = -16 for q. 4 Suppose 0*o = -5*o + 5*g + 65, -4*o + g + 55 = 0. Let w(c) = -c**2 + 17*c - 39. Let a be w(o). Solve 0 = -a*u - 3*r - 3, 0 = -u - u + 5*r - 2 for u. -1 Let f = -7357 - -7361. Solve 14 = -x + 2*r, -15 = -2*x - f*r - 3 for x. -4 Suppose -3*a = 2*b - 6*a - 72, 5*a = -3*b + 51. Suppose -4*t - 5*f - 60 = -f, -9 = t - f. Let r be (6/t)/((-2)/8). Solve 3*o - 4*d = -d - b, -r*o - 3 = d for o. -4 Let v(b) = b**2 - b - 1. Let i be v(9). Let a = 103 - i. Suppose -q + 11 = -2*l, -2 = -3*q - 3*l + 4. Solve 3*u + a = q*r, -2*r + 8 + 0 = 0 for u. -4 Let r(u) = -u**2 - 14 - 14*u - 53 - 3*u + 11. Let t be r(-12). Solve 0*y + t*f = 3*y + 16, 3*f + 13 = -4*y for y. -4 Suppose 2*x - 2*i = 0, 0 - 10 = -5*i. Let n be -4 + -3 + 5 - (-24)/x. Let t = n + -8. Solve 5*b = -3*j - 1, -2*b - 23 = t*b - 5*j for b. -2 Let o = -355 - -355. Solve o*b + 4*b - 4*k = -28, -2*k - 4 = 4*b for b. -3 Suppose 0 = -d + 36 - 96. Let l = d - -64. Suppose -8 = -4*o - 0. Solve -2*s - o = l*f, f = 4*f + 6 for s. 3 Suppose 0 = -20*d - 128 + 188. Solve 3*b = u - 4, d = -4*u - 17 for b. -3 Let z(i) = -12*i + 110. Suppose -28*p - 2*p = -270. Let f be z(p). Solve 4*r = 16, -6 = f*q + r - 0 for q. -5 Suppose -18*a + 467 + 1873 = 0. Let o = a + -98. Solve 4*p + 11 = -5*m + o, -m + 1 = 4*p for p. -1 Suppose -5*i + 2 + 8 = 0. Let s = 0 + i. Suppose z + 4*f = -z + 22, -25 = -s*z - 5*f. Solve -z*v = -3*n - 24, -n - 3*v = -3*n - 15 for n. -3 Suppose 39*k - 38*k - 7 = -3*z, 2 = -k. Solve l + 3*l + 2 = 2*p, -15 = -z*p for l. 2 Suppose 6 = s + 2. Let x be -7 + (3/7*7 - -4). Solve -4*m + 3*m = -5*u - 8, -2*u - 2*m + s = x for u. -1 Suppose 39 = 58*b - 4 - 73. Solve b*v - 6*v = 2*d + 6, -d = 5*v + 12 for v. -3 Suppose 4*u - 87 + 3 = -5*g, 0 = 5*u - g - 105. Solve -4*o = z + u, 4*z + 16 = 19*o - 18*o for z. -5 Suppose 0 = -0*t + 3*t. Let q be (t - 2/4) + (-1617)/42. Let u = q + 39. Solve -3*p - p - 4*c - 4 = u, 4*p = -3*c - 1 for p. 2 Let a be 21*(1 + 0) - 3. Suppose -3*z = -9, 3*z + a - 7 = 4*r. Solve -2*o + h = 3*h + 14, -3*o = r*h + 31 for o. -2 Let t be (-12)/(-20) - 64592/(-55). Let m = -1171 + t. Let i be (0 - 0)/(0 + 1). Solve 26 = -5*w + 3*h, m*w - h + 18 = -i*h for w. -4 Let w be -1 - 60/(-18) - 22/(-6). Solve -w*j = -j + 25, 28 = -v - 5*j for v. -3 Suppose 26*o + 4*l = 25*o + 1, -2*o + 5*l + 15 = 0. Solve -k - 4*h - 11 = 0, -4*k = -42*h + 45*h + o for k. 1 Let x = 17 - 5. Let n = 143 + -134. Let p = n + x. Solve -v + 2*q = -3*q + p, 4*q - 14 = -2*v for v. -1 Let s be (-1)/4 - 4140/(-48). Let o(f) = -f**2 - 23*f - 104. Let k be o(-22). Let v = k + s. Solve -v*d = 5*z - 33, 2*d - 4*z + 14 = -d for d. 2 Suppose j - 17 = 2*r, -1196*j = -1200*j - 4*r + 8. Solve 0 = 3*g - 5*m - 1, 12*m - j = 5*g + 8*m for g. -3 Suppose -t - 15 = -5*y, -18*t + 21*t + 2*y - 6 = 0. Solve 5*l + r + 7 + 0 = t, -8 = 4*l + 2*r for l. -1 Let g = -1645 + 981. Let t = g - -674. Solve -2*q + 2 = -0*q + 2*i, 2*i + t = q for q. 4 Let v be (15/(-10))/((-5)/(-320)). Let o = 97 + v. Solve -j = -2*n + 4*j - 14, 0 = -3*n + 2*j + o for n. 3 Let c be (91/(-42))/(-13)*2*6. Suppose 3 = -5*w + 3*s - c*s, -4*s = -12. Solve w*y = -n + 2*y + 8, -3*y = 2*n - 2 for n. 4 Let g be (-9 + 3)/(6/(-4)). Let h(z) = 6*z**2 + 50*z + 58. Let j be h(-7). Solve d = 4*d - 6, -g*y + d = j for y. 0 Suppose 22*r - 24*r - 1 = -29. Solve r*j = 13*j - 5*n - 14, 11 = -j - 4*n for j. 1 Let w = 17627 - 17625. Solve 2*v + c - 4 = 0, 8*v - 3*v - w*c = 37 for v. 5 Let i be (-4)/16*-12 - (-317 + 0). Suppose -324 = -b - i. Solve -a + 4*t + 12 = 3*a, 0 = a + b*t + 22 for a. -2 Suppose -429*l + 380 = -391*l. Solve -3*m + 12 = -5*h, -l*h + 6*h - 4*m = 16 for h. -3 Let i be -240*(-50)/40*(-2)/(-5). Let m = 59 - i. Let n = m + 61. Solve -2*q + 2*y + 2*y + 22 = 0, -4*q + 5*y + 29 = n for q. 1 Let s be (-27)/(-5) + 48/(-120). Suppose -s = 16*v - 21. Solve 3*w - 1 = 5*u, -2*w + w = -2*u - v for w. -3 Suppose t = -2*j + 13, 2*j + 5*t - 3*t = 18. Let f be (-43)/((-602)/84) + (-2)/(-2)*-6. Solve 3*s = -3*k - 12, -6 = -f*s - s + j*k for s. -2 Suppose 110*w + 62*w + 65*w = 474. Let k = 22 - 8. Solve -2*y = -5*v - k, -y = y + w*v for y. 2 Suppose 0 = -6*d - 7 + 37. Suppose -r - 2*s = d, 3*s + 22 = 2*r - s. Suppose v + r*v = 20. Solve v*q - 18 = g, -q - 6 = 4*g - 18 for q. 4 Let g be (5 + (-116)/28)/(4*(-6)/(-84)). Solve 16 = -j + 6*i - g*i, -3*j - 8 = -i for j. -1 Suppose 19*v - 34*v = 57*v - 2160. Solve -22*q + 25*q + 10 = -w, -5*w + v = -5*q for w. 2 Let c(v) = -17*v**2 + 9*v**2 + 12*v + 9*v**2 + 24. Let f be c(-10). Solve -i - 6*k - 4 = -k, -f*i = 4*k for i. 1 Suppose 179*u - 178*u - 31 = 0. Suppose 42*n = u*n + 55. Solve 15 = -n*h + b, 0 = 5*h + 2*b - 4*b + 20 for h. -2 Let t = 191 - 158. Suppose 0 = -50*w + 53*w - t. Suppose 4*y = 16 - 4. Solve y*a = 2*v - 5*v - 12, 2*a + 3*v = -w for a. -1 Suppose -4*x = 4*q - 12, 6*x + 3*q = 9*x - 39. Suppose 0 = 3*a + x*a - 154. Solve 4*n - r = -a, -r + 6 = -4*n + 4*r for n. -4 Let x(f) = f**2 - 6*f - 3. Let c be x(7). Let n be 20/(-90)*-24*3/(-4)*-1. Solve n*u + c*p = -8, -u = u + 5*p + 7 for u. -1 Let z be 6/4*6/(-9) + 270. Let w = -265 + z. Solve k = -2*m - 3, -13 = -w*k + k + 5*m for k. 1 Let w(v) = v**3 - 10*v**2 + 5*v + 36. Let s be w(9). Let h(j) = -8*j + 3. Let k be h(s). Solve 4*z +
{ "pile_set_name": "DM Mathematics" }
uppose -2 + 27 = 5*y, -4*s = -y - 15. Solve -h = -s*m + 9, 3*m + b = h + 6*m for h. 1 Let d(x) = x - 5. Let t be d(8). Let a be 8/t + (-8)/(-6). Solve -5 = -2*v + v + 5*g, -3*g + a = -2*v for v. -5 Let d = -2 + 30. Solve -6 = -2*c + 4*q, 4*c - 4 + d = -4*q for c. -3 Let x be ((-1)/3)/(3/(-18)). Suppose -8 = x*m + 4. Let v be m/(-8) + 5/20. Solve k - 6 + v = 0, q + k = 7 for q. 2 Let s be 7/3 - 16/(-24). Let i be (-2)/3 + 14/s. Solve 16 = 4*w - 4*k, -4 = -2*w - 2*k + i for w. 4 Suppose -2*i + 14 = 5*i. Solve -12 = -4*b + g, 0*g - 8 = i*g for b. 2 Suppose i + 2*r - 4*r = -809, -5*r - 1600 = 2*i. Let m be 1/4 - i/(-20). Let n = -18 - m. Solve -5*b + 5 = -4*g + n, 19 = -2*g - 3*b for g. -2 Let j(d) = 6*d**2 + 4*d**3 - 2*d**3 - 3*d**3 + 4*d. Let b be j(6). Solve -4*q + 4*y = b, 3*q - 4*q + 2*y = 10 for q. -2 Let t(j) = 4*j + 0 + 2*j**2 - 3*j**2 - 1. Let g be t(2). Suppose -g*i + 0 = -6. Solve 5*v - 29 = -a, -i*a - 3*v + 20 = -3 for a. 4 Let g be ((-5)/(-10))/((-2)/(-40)). Solve v - 15 + 6 = -5*o, 4*v = 3*o - g for o. 2 Let l be 3 + -2 + -10 + 2. Let b = l - -10. Suppose -31 = -3*w + 5*r, -r + 14 = -b*w - 5*r. Solve -3*i + 5*h + 14 = 0, w = -0*i - 5*i + 2*h for i. -2 Suppose -y - 32 = -3*y. Solve -s = v + 2 + 1, 0 = -4*s - y for v. 1 Suppose 5*z = -25, -s + 5*z - 7 + 36 = 0. Solve -2*b + 16 = -s*n, 3*n + 3*b + 14 = -7 for n. -5 Let w be 1/(-1)*(-6)/2. Suppose s + 2*u = 1, 5*s - 2*u = 14 + w. Solve 2*k = s*v + 3*k + 4, -5*v + k + 4 = 0 for v. 0 Let q be (-10*(-2)/4)/1. Solve 3 = -v - q*x + 6, 0 = -4*x + 4 for v. -2 Suppose -2*j = -4*y, 3*y + 12 = 5*j - y. Suppose -2*n - 54 = -4*p, 4*p - n - 59 = -0. Solve 0 = 7*r - 3*r - 5*l - 40, j*l + p = 0 for r. 5 Let t be (4 - -1)/(2 - 1). Let b = -18 - -10. Let c = b + 12. Solve h + k + 19 = -3*k, t*h = -c*k - 15 for h. 1 Suppose 5*c + 60 = 2*z, 5*z + 1 = -3*c - 4. Let p = -9 - c. Solve 5*r = h + 16 - p, 4*h + 28 = 4*r for r. 2 Let s(b) = -2*b**2 - 21*b + 13. Let k be s(-11). Solve 4*p - 3*p + k*i = 11, -p = -5*i + 17 for p. 3 Let p be 2 - (-1 - -4)/(-3). Let z(v) = 2*v**2 + v - 2. Let i be z(-2). Solve i*s + 3 = 3*q, -4*q + 7 = 5*s + p for s. 0 Let t be ((-24)/(-16))/((-6)/(-52)). Let m = t + -10. Solve 5*k = p + 3*p + 37, 0 = -2*p - m*k + 9 for p. -3 Let s be 8/16 - 2/4. Suppose s = -3*z + 2*z + 11. Solve 3*n + 5*w + z = -3, 2*n - 20 = 4*w for n. 2 Suppose 0 = -7*r + 14*r. Solve r = 5*a + 15, y + 0 - 8 = 2*a for y. 2 Suppose -6 = -4*y + 2*k, 2*k - 4 = -2*k. Suppose -2*q - y*u + 5 = -u, -3*u = 3*q. Let d = -75 + 81. Solve -q*b - 2 = a, -2 - d = 4*a + 2*b for a. -2 Let i(u) = 3*u**2 + 60*u - 5 - 4*u**2 - 54*u. Suppose -3*d = d - 16. Let b be i(d). Solve -b*n + 23 = 5*x - n, -n = 3*x - 13 for x. 3 Suppose 0 = 3*q - 9. Suppose -5 = -q*d + 1. Solve -5*w + 5 = -d*f, 2*w + 3 = f + 5 for w. 1 Let p be (-6)/((-10)/8*39/65). Solve r = 3*d - p*d - 1, -d = -r + 5 for d. -1 Let c be (0 - -1)/((-3)/(-12)). Let g be (-79)/(-4) + 1/c. Let p be (-5)/g + (-26)/(-8). Solve -13 = -4*o + p*l, -o + 5*l + 18 = 2*o for o. 1 Let l(p) = -p**3 + 5*p**2 - 3*p + 2. Let q be l(4). Solve 3*r - c + q = 18, 15 = 5*c for r. 5 Suppose -4*i = -5*b, 0*b - 2*b = 3*i. Solve -4*n + 1 = f - b*f, -f = -5*n + 8 for n. 1 Let r(x) = -3*x**2 + 6*x - 5. Let l be r(4). Let k = 49 + l. Suppose -k = -0*v - 4*v. Solve -4*p + 20 = -2*u - 2*u, 0 = -u - 2*p - v for u. -5 Suppose 4*w - 2*l - 46 = -0*w, 2*w - 4*l = 8. Solve 4*a = 2*x - 16 - w, -a - 5*x + 20 = 0 for a. -5 Let a be (-14)/(-4)*((-116)/(-14) - 2). Solve -5*s = -3*b + 1, 8*s = 3*s - 4*b - a for s. -2 Suppose 3*i - 7 = 62. Solve i = -7*r + 2*r + 2*f, -5 = -5*r - 5*f for r. -3 Let y(t) = 2*t - 4*t + 2*t**2 + 2 - t**2. Let c be y(4). Suppose c = 4*d - b, 0*d - 3*d + 17 = 4*b. Solve 3*u + 7 = 3*m + m, -d = -u - 4*m for u. -1 Let o = 66 + -61. Suppose 0 = -3*g + 3*n + 27, -g + 4*g - 2 = -2*n. Solve -3 = -g*r + 3*k, -o*r + 2 = 3*k + 5 for r. 0 Let z = -32 - -35. Solve -s - 5*y = 3*s - 22, 0 = -s - z*y + 9 for s. 3 Let i(c) = c + 5. Let m be i(-5). Suppose m = -2*w + 50 + 10. Let f be (1/2)/(3/w). Solve -5*b = -x + 9, 6*b + f = b for x. 4 Let u = -6 - -4. Let d be (1 + 25)*(-1)/u. Let m(i) = i**3 - 2*i**2 - 2*i + 1. Let j be m(3). Solve 0 = 2*r - 6, l - j*r = -r - d for l. -4 Let l be (-3)/(-12) + 3/4. Let p = 1 + l. Solve -4*z + h = -13, -p*z + 32 - 3 = -5*h for z. 2 Let y(g) = -5*g - 3. Let f(j) = -11*j - 5. Let b(i) = 6*f(i) - 13*y(i). Let c be b(7). Suppose -p + 15 = c*p. Solve -s - 5 = 4*s, -3*z = p*s + 2 for z. 1 Let m = 17 + -9. Solve 2*u - 10 = -u + j, -2*u - 3*j = m for u. 2 Let q(f) = -f**3 + 8*f**2 + f + 9. Let u be q(8). Suppose 0 = d + 5 - u. Solve 0 = -4*o - 4*g - d, 5*g + 15 = 2*o - 0*g for o. 0 Let c = -52 + 56. Solve 0 = -c*s - 2*q, -3*q = -2*s - 7*q + 6 for s. -1 Suppose -3*h + a + 4 = -2*h, 0 = 4*h + 2*a + 8. Solve 5*u = -h*n + 2*n + 25, n = 5*u - 20 for n. -5 Let d(x) = 4*x**3 - x. Let f be d(-1). Let t = 1 - f. Solve 3*h - 8 = -h - t*y, -5*h = -4*y - 1 for h. 1 Let h(g) = -g - 2 + 1 + 1 + 3. Let z be h(8). Let l(o) = -o - 1. Let t be l(z). Solve 3*p = q + t*q + 18, p + 5 = -2*q for p. 1 Let i(y) = y + 5. Let c be i(-5). Let d = c - -2. Suppose 0 = -d*m + 7*m. Solve 0 = 5*b - j + 2, -4*b - 3*j + 7*j + 8 = m for b. -1 Suppose 0 = 4*x - p - 229, x + 4*x - 289 = 4*p. Suppose 0*s = 4*i - 5*s - x, -2*i + 5*s + 31 = 0. Solve -r = 3*h - 7, 0*h - 5*h = 3*r - i for r. 1 Suppose 7*i - i - 36 = 0. Solve -4*y - i = 2*b, 4*b = -y - b + 3 for y. -2 Suppose -2*j = 0, 6*m - 3*j = m + 45. Solve 6*t + 4*r + m = t, -t = 4*r - 11 for t. -5 Let z(a) = -a**2 + 6*a - 2. Let p be z(4). Let m be 3/(-3*(-2)/p). Solve q - 9 = 6*q + w, 0 = m*w - 3 for q. -2 Let o = -3 + 5. Let g be (o + 0 - -5) + -2. Solve -g*k + 2*u = -23, -3*k - 7*u + 20 = -2*u for k. 5 Let b(s) = s**2 + s. Let f be b(0). Suppose -5*d + d = f. Suppose 4*j - 8 - 12 = d. Solve 0 = -4*x + h - 6, 5*x + 2 = j*h - 13 for x. -1 Let p = 27 - 16. Suppose 2*c = -1 + p. Solve 0*m - c*m = t - 6, 0 = 3*t + m - 4 for t. 1 Let f(w) = w**3 + 11*w**2 - 13*w - 7. Let l be f(-12). Solve 0 = -3*y - l*j - 0*j - 13, -7 = -y + 4*j for y. -1 Suppose -u = j - 4, 3*j - 13 = -4*u + 1. Suppose 4 = u*r, 2*r + 9 = 4*y - 7. Solve 0*h = 3*h + 4*l - 5, 4*l - 11 = -y*h for h. 3 Suppose 0 = -o - 3*o + 80. Let y be (-39)/(-91) - 67/(-7). Let d(j) = j**3 - 6*j**2 + 6*j - 1. Let m be d(5). Solve m*f + o = 0, 2*q - y = 2*f + 2*f for q. -5 Let n(x) = -x + 4. Suppose -t - 25 = 4*t, 4*h + 3*t = -51. Let l be n(h). Solve 8 = -2*a, -4*a = -2*i + l - 3 for i. -3 Let s = -3 + 6. Let h(j) = -6*j. Let i be (1/(-4))/((-2)/(-8)). Let v be h(i). Solve -v = 2*u - 4*k + 2, 4*u - 17 = -s*k for u. 2 Suppose r + 15 = 6*r. Let u(f) = -2*f + 2*f + r*f - 2 - 2*f. Let n be u(10). Solve -2*x - 3*c + 14 = 0, 0 = -2*c - 2*c + n for x. 4 Let v = -38 - -46. Solve 0 = -3*m + s - v, -4*s - s = -25 for m. -1 Let c = -38 + 57. Solve w = -4*w - a + 26, 4*w = a + c for w. 5 Let n = -15 - -10. Let r be (2/n)/((-8)/80). Solve -2*y = -6*y - 3*b + 23, 0 = 2*y + r*b - 14 for y. 5 Suppose 4*x + 0*x - 2*g - 30 = 0, g = x - 10. Suppose x*d - 23 = 7. Suppose 2*l = 2*n - 44, n - l - l = 26. Solve -s + 2*h - d = 0, s + 4*h - n = 6*s for s. -2 Suppose 5*o = 2*o + 6. Suppose -15 = -h - o*h. Solve h*j = -3*d + 3*j, 2*j = 0 for d. 0 Suppose -3*t - j = -2, 11*j - 10*j = 3*t + 2. Solve t = 3*c + 2*u - 8, -5*c - 2*u + 8 = 0 for c. 0 Suppose 3*y - 21 = -4*d, d + 2*y - 10 = -d. Let w = d - 7. Let x be 1*(2/w - -2). Solve 5*i - f + x = -4, 0 = i + 3*f - 12 for i. 0 Let w be (5/10)/(1/(-18)). Let o = 13 + w. Solve 3*v + 5*y = -30, -o*y = 4*v - 3 + 35 for v. -5 Suppose -3*d = 5*i + d - 32, 5*i - 5*d = 5. Solve -4 = -i*k, -4*n = n - 5*k - 10 for n. 3 Suppose 11 = 3*v - 2*z, 5*v - v - 4*z = 20. Suppose -d = -3 + v. Suppose 4*t - 20 = d*t. Solve -5*g - t - 5 = 5*h, 0 = 3*g - 5*h - 31 for g. 2 Let u = -14 + 25. Solve 4*a + 14 = -0*h + 2*h, -5*h = -4*a - u for a. -4 Let a = 129 + -129. Solve -3*i + b = a, -5*b = -2*i - 5 - 8 for i. 1 Let n(j) = -j**3 - j**2 - j + 3. Let z be n(0). Suppose z*i = -2*i + 5. Let p(s) = 15*s. Let a be p(i). Solve -4*r + 3 = -2*o + 1, -5*r = o + a for r. -2 Let a(v) = v + 41. Let g be a(-21). Solve -s + 6*s = 0, 5*r - 3*s + g = 0 for r. -4 Let o be 1*(10/(-5) + 11). Suppose 0 = -u + 5. Solve 4*g = 3*t + 16, 2*t -
{ "pile_set_name": "DM Mathematics" }
2/((-26)/d - 1). Solve 3*y = 2*o - y - 16, 0 = -2*o + 3*y + b for o. -2 Let s = 13 + -8. Suppose 3*c + 3*a + 3 = 0, 0 = -s*c - a - a + 7. Let n(d) = -d**2 + 5*d - 3. Let b be n(3). Solve b*p + 1 = -3*v - v, 5*p + c*v = -9 for p. -3 Let n be 2/(-4) - 70/(-4). Suppose 16*u + 10 = 21*u. Suppose -2*k + o = -10, -u*k + 23 = 3*k - 2*o. Solve 5*h = -2*j - 2 + n, -4*j - 5 = k*h for j. -5 Let q be ((-248)/(-62))/((-1)/(-10)*-1). Let o be (-180)/q + 1/(-2). Solve -10 = -o*d - 2, -3*k - 2*d - 5 = 0 for k. -3 Suppose 0 = -2*s + d + 35 + 9, 4*s = 3*d + 90. Solve 0 = -5*b - 4*g + 18, -5*g + s - 3 = 4*b for b. 2 Let a(m) = -m**3 + 10*m**2 - 13*m + 11. Let j be a(9). Let h = -23 - j. Suppose k = h + 3. Solve -27 = -3*x + k*v, 4*x - 3*v = -v + 22 for x. 4 Let l be ((-1)/(-2))/(1/10). Suppose f = -l*f. Solve 9 = 2*x - 2*q + 5*q, 5*x + q - 3 = f for x. 0 Let x(w) = -w**3 - 2*w**2 - 7. Let p be x(-3). Solve 0 = -2*t + t + c, -p*c + 4 = -4*t for t. -2 Suppose n + 3*o = -12, 3*o = -5*n - 2*o - 10. Suppose -n*p = 6*c - c + 4, 4*c + p = 1. Solve r - j + 2*j + c = 0, 2*r - j = -2 for r. -1 Suppose 0 = 2*f + j - 23, -5*j = f - 4*f + 28. Solve -5*l + 8 = -3*w, -4*w = -l - 1 - f for w. 4 Let b(y) = 4*y - 91. Let z be b(24). Solve 4*l + 6 = -14, -4*l = -z*f + 30 for f. 2 Let w = 3 - 14. Let l = -7 - w. Solve 2*z - 12 = 4*i, z + l = -2*z - 5*i for z. 2 Suppose 0 = 5*v + 4*l - 12, 3*v - 3*l = v + 14. Let y = 1 - 5. Let k be ((-4)/1)/y - -2. Solve -k*d - m + v*m = 12, d = 3*m - 10 for d. -1 Let f be ((-4)/3)/(8/(-12)). Let n be (-15)/(-5) + -2 + (1 - f). Solve 3*g + 2*g = 4*r + 5, n = g + 5*r - 30 for g. 5 Suppose 4 = -2*i + 4*n, 2*i - 3*n + 8*n - 14 = 0. Solve 4*k + 2 = -2*d, 3*k - 3*d - 31 = i*d for k. 2 Let m be 1/(-8) - (1 - (-25)/(-8)). Suppose z = -4*h + 11, -4*z + m + 9 = 5*h. Solve -h*b - 10 = -2*q, 4*b = -0*b + q - 10 for b. -2 Let q = -330 + 334. Solve -4*z = 4*l + 12, -4*z + 9*z - 3 = q*l for z. -1 Suppose 3*a + 32 - 104 = 0. Solve 0 = -2*d - 5*t + 29, 7*d + a = 9*d + 4*t for d. 2 Let s(a) = 2*a**2 - 18*a + 10. Let h be s(13). Let f = -114 + h. Solve f = 4*c - 5*d - 13, 2*c + 2*d = 4*c - 4 for c. -3 Let o = -55 + 67. Let d be 16/o + (-8)/6. Suppose 5*c = 3*c + 64. Solve -5*k - z - 24 = d, 0 = -4*k - k - 3*z - c for k. -4 Suppose -2*k + 32 = -4*k. Let b = -14 - k. Solve -2 = -3*r + z, 4*r = -4*z + b*z - 14 for r. -1 Suppose 4*b = 46*b - 84. Solve 0*a = a + 4*w, 0 = -4*a + b*w for a. 0 Let c be ((-40)/(-60))/(2/(-213)). Let a = 74 + c. Solve -2 - 14 = -4*m + 4*r, 4*m = -a*r + 23 for m. 5 Suppose -2*k = -3*x + 12, 2*x + 10*k - 8 = 5*k. Solve 2*l - 7*l + 5*y = 0, 20 = l + x*y for l. 4 Suppose 0 = 3*v - 2*v - 9. Suppose 3*j = 4*w, -j - 2*j + v = -w. Solve 4*s - 21 = -p, -w*s + s - 3*p = -13 for s. 5 Suppose 0 = -3*r + 6. Suppose 50*v = 80*v. Solve -5*l + 2*w - 3 = -r*l, 3*l - 3*w + 3 = v for l. -1 Let k(u) = u**3 + 9*u**2 - 9*u + 22. Let f be k(-10). Let v be -1 + 3/(-1) + 6. Let z = 4 + v. Solve -3*a - j = -0*a + z, -2*j = -2*a - f for a. -3 Let d(a) = 2*a**2 + 2*a + 2. Let i be d(-3). Suppose 5*o - 37 = 4*x, -4*o - o + 13 = 4*x. Let v = 368 + -368. Solve v = o*g + 25, -3*q = -g - i for q. 3 Let m(w) = 19*w - 71. Let z be m(4). Solve -19 = z*t + j - 7, -5*t = -j + 18 for t. -3 Let l(d) = -3*d + 6. Let a be l(-9). Let g = a - 25. Solve -y - 5*z - 16 = 0, y - g*z - 14 = -3*z for y. -1 Let m(q) = q**2 + 2*q - 5. Suppose -21*y + 16*y = 20. Let b be m(y). Solve 0*c + c = -b, -3*c = -5*g + 34 for g. 5 Let m(d) = d - 2. Let u be m(7). Solve 3*w - 6 = l + u*w, 8 = l - 5*w for l. -2 Let k(a) = -8*a + 12. Let n be k(1). Solve 36 = -n*d + 2*b + 2*b, -3*d - 7 = b for d. -4 Let p = -937 - -943. Let m be 15/9 + 2/6. Suppose 0 = m*f - 4. Solve 0*d + 4*d - p = -f*k, -3*k = 4*d - 1 for d. 4 Let p(w) = -w**2 + 14*w - 35. Let t be p(10). Solve -4*v - o = -22, 0 - 5 = -3*v + t*o for v. 5 Let w be (16/6)/((-4)/(-6)). Solve 5*z - 1 = -5*o + w, 3*o = -4*z + 6 for z. 3 Suppose 2*w + 26 = 4*n, -n - 2*w + 0*w + 14 = 0. Suppose 4*p + 28 = n*p. Solve 5*h - 31 = -2*z, -2*h + p = z - 2*z for z. 3 Let o be (-4)/((-4 - -10) + -8). Solve b - 2*r = -o, -3*r = -b - 0*r - 1 for b. -4 Let k be ((-2)/5)/((-3)/15). Let u(t) = -t + 2. Let z be u(k). Solve z*d + 9 = l + d, -l - 6 = -2*d for l. 4 Let a = 92 + -90. Let j = -9 + 11. Suppose -2*d = -j*h - 10, -2*d = 4*h + h + 11. Solve 2*w = -d, -a*f - 5*w = -0*f - 5 for f. 5 Let y be 9*((-2)/(-3) + 0). Let d(h) = h**3 + 4*h**2 - 10*h - 18. Let x be d(-6). Let m be x/(-12) + y/4. Solve 20 = m*p + 4, 0 = 5*f - 4*p - 9 for f. 5 Let f = 1 - -4. Suppose -f*x - 3*a + 5 = 0, a = 5*x + 5*a. Solve 3*t + 17 = -4*j, x*j - j + 6 = 0 for t. -3 Let y(z) = z**2 - 8*z + 5. Suppose 0 = -4*a - 5*o + 11, -4*a = -3*o + 2*o - 41. Let v be y(a). Solve -n - 12 = n + 4*j, 0 = 3*n + 5*j + v for n. 2 Suppose 16*d + 31 - 95 = 0. Solve 0 = d*s + y - 6, -3*y = 2*s - 5*y - 8 for s. 2 Suppose -120 = -5*t - 105. Suppose -11 = -5*k + 4*x, 2*x + 5 - 19 = -4*k. Solve 0 = t*q - k, -2*u - 14 = u - 5*q for u. -3 Suppose 5*z = 4*q + 7*z - 18, -q - 3*z + 2 = 0. Solve -15 = q*j, h - 3*j = 3*h - 1 for h. 5 Suppose 0 = -4*h + 12, -3*t = 4*h + h - 27. Solve t*f - f = 4*u + 14, -4*f + 8 = 0 for u. -2 Let h = -21 - -18. Let j(s) = 2*s**2 + 3*s + 3. Let u be j(h). Solve -u = -2*z + 4*i, z + 2*i - i + 9 = 0 for z. -4 Suppose 2*h - 29 = -5*x - 2, 14 = 3*x - h. Solve o - y + 5 = -3*y, -o + x*y - 5 = 0 for o. -5 Let y(t) = 14*t + 90. Let g be y(-6). Solve 0 = -3*i + 2*n + g, -n - 17 = -4*i - i for i. 4 Suppose -a - 3 + 6 = 0. Suppose 9 = a*c - 3. Let r(g) = -g**2 - g + 12. Let m be r(-4). Solve -3*h + 19 = c*s, m*s - 3*s + 10 = -2*h for h. 1 Let k = 113 - 107. Solve k = -3*y - 3*z, -2*y = 6*z - 2*z for y. -4 Suppose -j = -5*w - 19, 2*j + 3*w = 4*j - 17. Solve -j*s - 4 = c - 22, -3*s + 5*c = -2 for s. 4 Let r(u) = -u + 3*u + 0 + 2 - u. Let z = -46 + 47. Let v be r(z). Solve -2*n = 3*b - 22, -v*b + 2*n + 2 + 0 = 0 for b. 4 Let m(b) = 2*b + 2. Let w(z) = z**3 - 3*z**2 - 3*z - 4. Let h be w(4). Let s be m(h). Solve -a - 2*v - 19 = -7, -s*a + 5*v = -12 for a. -4 Let s = -29 - -34. Suppose 8 = s*k - 7. Solve v + 2*g = -2, k*v = -6*g + g - 6 for v. -2 Let b = 23 - 23. Suppose 4*k - 4*w = 20, 0 = 4*k - 3*w + 6*w - 6. Suppose -p + 3*d + 14 = -5, 0 = -2*p - d + k. Solve m = p*y, -2*m + b = -2*y - 6 for m. 4 Let t = -3 + 5. Suppose 2*n + u + 3 = -t, -3*u - 15 = 4*n. Suppose n = 6*w - w + g - 8, 0 = 3*w + 2*g - 2. Solve 4*l = 5*a - 5, -w = 2*l - a - 7 for l. 5 Let b(c) = -c**2 - 8*c - 8. Let d be (1/(-2))/(12/144). Let n be b(d). Solve n*v = 5*l - 17, -5*v + 0*v + 10 = 0 for l. 5 Let m be 11 + 0 - 4 - (-2 + 6). Solve 0 = 5*q + 5*h - 10, -3 = -q + m*h + 7 for q. 4 Suppose j + 2*t = -2 + 11, -3*t = -3*j. Suppose j*r + u = 83, 4*r = 3*u - 7*u + 124. Solve 3*m + m - 2*p - r = 0, -5*m = -5*p - 45 for m. 4 Let a be (2 + -3)/(5/(-10)). Solve 4*q - a*j - 2 = 2, -5*q = 3*j + 17 for q. -1 Let y = -1621 - -1629. Solve -y = 2*u, -4*g + g - u = 10 for g. -2 Let c = 9 - 3. Suppose -c = -u + 4. Suppose 0 = 2*s + a, 5*s = a + 4 + u. Solve 0*v + 5*v = y + 6, v - s = y for y. -1 Suppose -3*k + 8*k + 2*t - 20 = 0, 5*k - 3*t = -5. Suppose 4 = 2*w, -k*g + g + 2 = w. Solve -5*s - o + 9 = -11, o = g for s. 4 Let b = 45 + -43. Let j = 6 - b. Solve 3*q = -j*p + 15, q + q = -5*p + 17 for p. 3 Let s(x) be the first derivative of 7*x**2/2 - 22*x - 17. Let r be s(6). Solve 5*h + 8 = -k + 3*h, -5*h - r = 0 for k. 0 Let u = 1148 + -1142. Solve 0*a + 7 = 5*p + 2*a, -5*p = a - u for p. 1 Let l(j) = 68*j - 69*j - 10*j**2 + j**3 - 2*j**3 - 5. Let r be l(-10). Solve 5 = -b + o, -2*b - 14 + 1 = -r*o for b. -4 Let b be 2/(-3) - 22/(-6). Suppose r + 4*v = -13, -b*r = 3*v - 8*v + 5. Let x(t) = t + 11. Let g be x(r). Solve c + 1 - g = n, c = 3 for n. -2 Suppose -30*v + 2*t = -31*v - 1, v + 3*t + 3 = 0. Solve 0 = d + 2*d - v*h + 30, -3*d + 5*h = 40 for d. -5 Let f(q) = -3*q**2 - 25*q + 54. Let x be f(-10). Solve s = -2*m - 4*s + 28, -x*m + 4*s = 0 for m. 4 Suppose -5*d - 180 = -10*d. Suppose 3*n + 1 = q - 0, d = -4*q + 2*n. Let s = 2 - q. Solve 2*b - 4*l + 2 = 0, -2*l = -5*b - 0*l - s for b. -3 Suppose -7*s + 12 = -6*s. Let z = -30 + s. Let v be z/(1*(-6)/4). Solve a - 4*j = 15, 2*a + j = 3*j + v for a. 3 Let x(u) = -2*u + 16. Let z be x(-13). Let n = z + -38
{ "pile_set_name": "DM Mathematics" }
what is 70a + 3? 711 In base 10, what is -322 + 5? -317 In base 16, what is -1 - -1a3f? 1a3e In base 11, what is -4 - 207? -210 In base 5, what is 12 - -112? 124 In base 11, what is -280 - -1? -27a In base 9, what is -16 - 0? -16 In base 13, what is 5 - 67? -62 In base 5, what is 10112 + 44? 10211 In base 14, what is 4 - -19? 1d In base 14, what is 9 + 2b? 36 In base 12, what is 2 + -58? -56 In base 10, what is 30 + -50? -20 In base 14, what is -147 + -2? -149 In base 6, what is -3 + 311? 304 In base 13, what is 9 + 166? 172 In base 6, what is 4 - -210? 214 In base 8, what is -1 - 120? -121 In base 12, what is -161 - -4? -159 In base 4, what is -2223 + 1? -2222 In base 5, what is 2314 - 102? 2212 In base 10, what is -2 + 3? 1 In base 14, what is 18 - 0? 18 In base 16, what is -2 + 77c? 77a In base 7, what is -14 + -100? -114 In base 5, what is -120 - -1024? 404 In base 7, what is -2323 + 1? -2322 In base 15, what is 8b + -2? 89 In base 2, what is 0 + -1110101? -1110101 In base 2, what is -11 + -1? -100 In base 7, what is -4 - 33? -40 In base 12, what is -3 + -34a? -351 In base 13, what is 9 + -1a? -11 In base 3, what is 10 - 1000? -220 In base 11, what is 1 - -423? 424 In base 12, what is -10128 + 0? -10128 In base 12, what is 0 - -13? 13 In base 7, what is 110113 - 3? 110110 In base 13, what is -355 + -3? -358 In base 5, what is -2 - 14313? -14320 In base 13, what is -4 + 680? 679 In base 15, what is 502 + -5? 4ec In base 12, what is 379a - -4? 37a2 In base 7, what is -34 + 5? -26 In base 7, what is -2051 - 0? -2051 In base 15, what is -3 + -67? -6a In base 12, what is -1 - 38? -39 In base 7, what is 1 - 1504? -1503 In base 13, what is 2 - -103? 105 In base 8, what is 246 - 1? 245 In base 4, what is 2 - 20? -12 In base 5, what is -20 - 201? -221 In base 13, what is 135 + -28? 10a In base 6, what is 2 - -4214? 4220 In base 9, what is -2 + -1834? -1836 In base 8, what is 11 + -24? -13 In base 16, what is -1c1 - -4? -1bd In base 11, what is 9a - 3? 97 In base 13, what is -85 + -3? -88 In base 3, what is -211011 - 11? -211022 In base 12, what is 89 + 5? 92 In base 8, what is 4 + -120? -114 In base 3, what is 0 + 2112? 2112 In base 16, what is 11 + -11? 0 In base 9, what is -4 + -726? -731 In base 4, what is 211203 - -31? 211300 In base 11, what is 62 - 15? 48 In base 16, what is 10 + -19a? -18a In base 6, what is 0 + 241? 241 In base 5, what is -204 + 3? -201 In base 14, what is -57c9 + -5? -57d0 In base 10, what is -3 - 55? -58 In base 8, what is -41 - 165? -226 In base 3, what is 1200 + 1? 1201 In base 9, what is -135 - -7? -127 In base 15, what is 3 + -ddd? -dda In base 2, what is -11110101 - 10? -11110111 In base 2, what is -11001 + -1? -11010 In base 6, what is 240 - -2? 242 In base 3, what is 1 - -12010? 12011 In base 6, what is 113 - 1? 112 In base 2, what is 11101101 + 100011? 100010000 In base 12, what is -15 - -199? 184 In base 14, what is 8 + -4c? -44 In base 4, what is 20 + 12031? 12111 In base 11, what is -31 + 9? -23 In base 9, what is -6 - 1260? -1266 In base 7, what is 2114 - 1? 2113 In base 8, what is 304 - -5? 311 In base 9, what is -2 + 111? 108 In base 7, what is 14 + 162? 206 In base 14, what is 23a + -20? 21a In base 6, what is 1 - 152? -151 In base 12, what is -12 - -65? 53 In base 13, what is -49 - -67? 1b In base 5, what is 3 + -401? -343 In base 5, what is 1043 + 313? 1411 In base 4, what is -20101 - -13? -20022 In base 13, what is -79 + -23? -9c In base 11, what is -14 + 4? -10 In base 13, what is 7 - 9? -2 In base 15, what is -36b - -1? -36a In base 14, what is -384 + 2? -382 In base 14, what is -427 + 1? -426 In base 15, what is 34 - 0? 34 In base 5, what is -20040 + 2? -20033 In base 9, what is -36 - -24? -12 In base 9, what is -50 - -22? -27 In base 6, what is 13 - -5? 22 In base 10, what is -1120 + 5? -1115 In base 9, what is -161 + 2? -158 In base 2, what is -1011101 + 101? -1011000 In base 14, what is 825 - 0? 825 In base 9, what is -71 - 8? -80 In base 6, what is -3422 + 10? -3412 In base 3, what is 2101200 - 12? 2101111 In base 3, what is -1100221001 - 12? -1100221020 In base 5, what is 212 + 4? 221 In base 15, what is -d - -30? 22 In base 9, what is -50 + 18? -31 In base 4, what is -1012 + 2? -1010 In base 11, what is 2 - -139? 140 In base 12, what is 15 - 77? -62 In base 13, what is -4c - 3? -52 In base 10, what is -52 - 13? -65 In base 14, what is 3 - -73? 76 In base 15, what is 4 + 22? 26 In base 6, what is -241 - -5? -232 In base 10, what is 128 - 0? 128 In base 4, what is 310 - 30? 220 In base 2, what is 10100010100 + -10? 10100010010 In base 11, what is 3 + -1a9? -1a6 In base 3, what is 0 - 101220? -101220 In base 12, what is -3 - 110? -113 In base 6, what is -412 + -4? -420 In base 11, what is -1 + -1078? -1079 In base 2, what is -1111100100 + -1101? -1111110001 In base 16, what is -2 + -15? -17 In base 7, what is -1125 + -1? -1126 In base 9, what is 4 + 371? 375 In base 4, what is 10 + 3022? 3032 In base 14, what is 7d - -1? 80 In base 13, what is -1 + 6? 5 In base 10, what is -2 + 31? 29 In base 14, what is 129 - 2? 127 In base 8, what is 4 - -51? 55 In base 5, what is 3 + -202134? -202131 In base 16, what is 3d + 2? 3f In base 13, what is -761c + 4? -7618 In base 12, what is -22a - 1? -22b In base 7, what is -1 + -46? -50 In base 16, what is 2 - -2? 4 In base 12, what is -7 - -1? -6 In base 11, what is -305 - 21? -326 In base 15, what is -e + -7c? -8b In base 8, what is -426 + -5? -433 In base 12, what is 10193 - 5? 1018a In base 10, what is 47 + 8? 55 In base 10, what is -440 - 0? -440 In base 3, what is 21 - -11110? 11201 In base 11, what is -5 + -232? -237 In base 5, what is -11123 - -4? -11114 In base 12, what is 938 + 10? 948 In base 7, what is -12 - 23? -35 In base 8, what is -464 + 14? -450 In base 16, what is -5 - 0? -5 In base 9, what is -16654 - -2? -16652 In base 11, what is 4 - -401? 405 In base 5, what is 311 - -11? 322 In base 11, what is -5 + -19? -23 In base 16, what is -31a - -5? -315 In base 8, what is -2 - -342? 340 In base 6, what is -11413 + 5? -11404 In base 13, what is -1789 + -1? -178a In base 6, what is -4 - 235? -243 In base 16, what is -11 - -ae? 9d In base 12, what is 8 - -10? 18 In base 16, what is -64 + 5? -5f In base 9, what is 7 + 37? 45 In base 13, what is -4 + 8b? 87 In base 6, what is -12533 + 5? -12524 In base 8, what is -6 - 710? -716 In base 14, what is 2518 + 2? 251a In base 10, what is -58 + 0? -58 In base 2, what is -1 - 111010100? -111010101 In base 5, what is 4 - -1100? 1104 In base 8, what is 10600 - -4? 10604 In base 4, what is -12 - -1320? 1302 In base 4, what is 1 + 121? 122 In base 13, what is -1130 + 3? -112a In base 4, what is 2203233 + -3? 2203230 In base 8, what is 2 - -450? 452 In base 13, what is 8 + 35? 40 In base 9, what is 1536 + -4? 1532 In base 12, what is 14 - -127? 13b In base 15, what is 75 + 1? 76 In base 9, what is -2 + 10? 7 In base 11, what is -378 - 9? -386 In base 4, what is -32 + -103? -201 In base 7, what is 150220 + -1? 150216 In base 14, what is -3cab + 5? -3ca6 In base 8, what is 31 - -10? 41 In base 2, what is 10 + 110010? 110100 In base 4, what is -121 - -323? 202 In base 6, what is -502 + -5? -511 In base 4, what is -21002 + -130? -21132 In base 2, what is -100 + 101001001011? 101001000111 In base 13, what is -9 - -1a2? 196 In base 13, what is 1862 + 4? 1866 In base 15, what is 29 - 7? 22 In base 11, what is 132 - -1? 133 In base 8, what is -47 + 107? 40 In base 9, what is 148 - 3? 145 In base 2, what is 1001110 - 1? 1001101 In base 13, what is -4c6 + 3? -4c3 In base 8, what is 157 + -1? 156 In base 6, what is 1 + 3541? 3542 In base 11, what is -4a52 + -5? -4a57 In base 13, what is 1 + -3? -2 In base 16, what is -3 - -29f? 29c In base 14, what is -3 + -1b? -20 In base 6, what is -205 - -4? -201 In base 4, what is 101 + 100? 201 In base 6, what is 4 - -1331? 1335 In base 14, what is -1c + -77? -95 In base 6, what is 3 + 10225? 10232 In base 13, what is 6 + -111? -108 In base 3, what is -1200 - -22? -1101 In base 5, what is 2 + 223? 230 In base 16, what is -e + -7? -15 In base 10, what is -21 + -5? -26 In base 9, what is -608 + 3? -605 In base 7, what is -4 + -3461? -3465 In base 16, what is 39 - -9? 42 In base 16, what is
{ "pile_set_name": "DM Mathematics" }
e Is 83813 composite? False Is 27865 a prime number? False Is 6047 a prime number? True Is 10265 a prime number? False Is 21863 a prime number? True Is 74234 a prime number? False Is 9353 a composite number? True Is 53299 prime? True Is 34249 a composite number? True Is 5447 prime? False Is 69973 prime? False Is 90787 prime? True Is 16961 composite? True Is 42469 a prime number? False Is 228349 a prime number? False Is 2729 prime? True Is 125699 a prime number? False Is 194371 composite? False Is 542651 prime? False Is 15629 a composite number? False Is 75473 composite? True Is 13669 composite? False Is 13679 prime? True Is 201007 prime? True Is 109169 prime? True Is 4201 a prime number? True Is 168617 prime? True Is 15689 a prime number? False Is 1693 composite? False Is 5623 a composite number? False Is 691109 a prime number? True Is 2269 prime? True Is 227329 a prime number? False Is 44027 prime? True Is 246049 prime? True Is 19529 prime? False Is 13253 a prime number? False Is 10427 composite? False Is 5401 a composite number? True Is 4987 prime? True Is 173077 prime? False Is 474461 prime? False Is 13963 a composite number? False Is 27043 a prime number? True Is 24601 prime? False Is 50671 a composite number? False Is 6599 a prime number? True Is 18251 a composite number? False Is 19523 a prime number? False Is 39971 a composite number? False Is 1748563 prime? True Is 36349 prime? False Is 27103 prime? True Is 373 a composite number? False Is 50207 a prime number? True Is 113003 prime? False Is 15419 prime? False Is 96661 prime? True Is 26305 composite? True Is 9337 a composite number? False Is 137461 a composite number? True Is 88463 a composite number? False Is 14029 a prime number? True Is 128713 a composite number? True Is 1287987 a composite number? True Is 899 composite? True Is 5179 a prime number? True Is 6373 composite? False Is 1099171 a composite number? False Is 307493 composite? True Is 67063 composite? True Is 396601 composite? False Is 94811 composite? False Is 22739 prime? True Is 5561 composite? True Is 135251 composite? True Is 240022 a prime number? False Is 42811 a prime number? False Is 11003 composite? False Is 37483 a prime number? True Is 171905 prime? False Is 13571 a prime number? False Is 301249 a composite number? True Is 1256887 a prime number? True Is 18113 a composite number? True Is 1511 prime? True Is 13157 a composite number? True Is 7393 prime? True Is 9242 composite? True Is 130363 prime? True Is 315481 prime? True Is 9491 prime? True Is 11299 a prime number? True Is 1399 composite? False Is 649177 prime? False Is 130805 a prime number? False Is 25733 composite? False Is 95651 a composite number? False Is 40049 prime? False Is 389053 a prime number? False Is 167509 prime? False Is 6389 a prime number? True Is 41929 a prime number? False Is 818887 composite? False Is 14051 a prime number? True Is 33679 a composite number? False Is 590491 composite? True Is 248743 prime? False Is 136943 a composite number? False Is 26333 composite? True Is 27877 a composite number? True Is 1087 a prime number? True Is 29383 prime? True Is 2995 a composite number? True Is 1027133 composite? True Is 831595 a prime number? False Is 133493 a composite number? False Is 2213563 a prime number? False Is 6317 a prime number? True Is 22853 composite? False Is 3203 a prime number? True Is 36523 a composite number? False Is 82109 a prime number? False Is 2633 composite? False Is 736607 a prime number? True Is 632134 a prime number? False Is 39499 a composite number? False Is 179161 prime? True Is 8263 composite? False Is 13424561 a prime number? True Is 52517 a composite number? False Is 104603 a composite number? True Is 3793 a composite number? False Is 112219 a prime number? False Is 1695941 composite? True Is 250927 composite? True Is 3587 prime? False Is 21269 a composite number? False Is 10847 a prime number? True Is 3673133 composite? False Is 308437 prime? True Is 1893 prime? False Is 5155 a composite number? True Is 869965 a prime number? False Is 26759 composite? False Is 17483 a prime number? True Is 602543 a composite number? False Is 10673 a composite number? True Is 2579 a prime number? True Is 32699 a prime number? False Is 110419 composite? False Is 6686 prime? False Is 3299 prime? True Is 1361 composite? False Is 32117 prime? True Is 257311 composite? False Is 800311 a prime number? True Is 215123 composite? False Is 333419 prime? True Is 4831 composite? False Is 877 a prime number? True Is 95651 composite? False Is 7769 a composite number? True Is 1371551 prime? True Is 25399 a prime number? False Is 270061 composite? True Is 49681 a prime number? True Is 12953 prime? True Is 48703 prime? False Is 619015 composite? True Is 27043 a composite number? False Is 595513 composite? False Is 163817 composite? True Is 177 composite? True Is 412729 a prime number? False Is 17719589 a prime number? True Is 823829 a prime number? True Is 20455 composite? True Is 57403 a composite number? True Is 481531 a composite number? False Is 9778 a composite number? True Is 42667 a prime number? True Is 3502541 prime? False Is 269683 composite? False Is 116743 prime? False Is 27473 prime? False Is 10661 a prime number? False Is 65227 prime? False Is 1148711 composite? True Is 58529 prime? False Is 2269 a prime number? True Is 45389 prime? True Is 3594733 a prime number? True Is 207559 a composite number? True Is 8923 prime? True Is 61003 composite? True Is 9722 prime? False Is 13637 a prime number? False Is 26615 a prime number? False Is 124813 a prime number? False Is 37319 a prime number? False Is 5089 a composite number? True Is 16411 composite? False Is 19919 prime? True Is 147977 composite? False Is 3247 a composite number? True Is 18947 a prime number? True Is 14621 a composite number? False Is 11857 composite? True Is 3833 composite? False Is 281107 a composite number? True Is 13049 prime? True Is 3101 a composite number? True Is 35969 composite? False Is 401105 a prime number? False Is 25559 prime? False Is 25778 a composite number? True Is 5666 composite? True Is 8513 a prime number? True Is 26066 a prime number? False Is 231409 composite? False Is 16601 a prime number? False Is 27929 a prime number? False Is 3814 a prime number? False Is 113 prime? True Is 2051 a composite number? True Is 12569 composite? False Is 29251 prime? True Is 1169947 composite? True Is 1223 prime? True Is 12955 composite? True Is 452671 prime? True Is 376331 prime? False Is 412457 composite? False Is 1224079 prime? True Is 4197 a prime number? False Is 54577 composite? False Is 80537 composite? False Is 471737 a composite number? True Is 1133 a prime number? False Is 6563 composite? False Is 1597 a composite number? False Is 11597 composite? False Is 64054 prime? False Is 518633 prime? False Is 41639 a prime number? False Is 194897 prime? False Is 304117 composite? True Is 28277 a prime number? True Is 26293 a prime number? True Is 7753 a prime number? True Is 446149 a prime number? False Is 201049 composite? False Is 44071 a prime number? True Is 12037 a prime number? True Is 835 a prime number? False Is 5444155 a composite number? True Is 168409 a prime number? True Is 7039 prime? True Is 457979 a prime number? True Is 160967 composite? False Is 240691 a prime number? False Is 13537 a prime number? True Is 10555 prime? False Is 36977 prime? False Is 687079 a prime number? False Is 16537 composite? True Is 4201 a prime number? True Is 8962 prime? False Is 99707 a composite number? False Is 46162 prime? False Is 499511 prime? False Is 53503 a composite number? False Is 6491 composite? False Is 21433 composite? False Is 21617 a composite number? False Is 63319 composite? True Is 34718 a prime number? False Is 16673 a prime number? True Is 20627 prime? True Is 28973 prime? False Is 5386 prime? False Is 6163 a prime number? True Is 4189 a composite number? True Is 2587 composite? True Is 21205 composite? True Is 3982481 a prime number? True Is 22013 a prime number? True Is 1637147 a prime number? True Is 617027 a prime number? True Is 25045 prime? False Is 2374127 prime? False Is 30757 a prime number? True Is 1326683 composite? False Is 19801 prime?
{ "pile_set_name": "DM Mathematics" }
*l**2 - 30*l**3 - 9 in the form q + z*l + v*l**3 + n*l**2 and give v. -30 Express (3*s**2 - 4*s**2 + 0*s**2)*(-71 + 71 - 27*s**2) + (3*s - 3*s - 2*s)*(-3*s**3 + 2*s**3 + 0*s**3) as l*s**2 + f*s**4 + p + y*s**3 + v*s and give f. 29 Rearrange (-105*u - 61*u + 54*u + (-u - 2*u + 5*u)*(-1 + 0 + 3))*(1 + 2*u - 1 + (-2 + 0 + 0)*(2*u + 0*u + 0*u)) to the form f*u + z*u**2 + o and give z. 216 Rearrange 30 + 17*f + 15 - 39 to the form s + o*f and give s. 6 Rearrange 2*n**4 + n**2 + 17 + 3*n**3 - 6*n**4 - 8 + 7*n**4 - 8 - n to the form f*n**3 + g*n + l*n**4 + k + t*n**2 and give t. 1 Rearrange 147 - 297 + 151 - 16*s to the form l*s + a and give a. 1 Express -7*z**2 + 197*z - 83*z - 96*z as g*z**2 + y + s*z and give s. 18 Express -199*i**2 + 269*i**2 - 169*i**2 in the form k*i + q*i**2 + f and give q. -99 Rearrange -73 + 26 - 503*p**2 + 24 + 24 to the form u*p + s + d*p**2 and give d. -503 Rearrange 134*z - 112*z - 647*z to the form b*z + m and give b. -625 Rearrange -34*m**3 + 100 + 36*m**3 + 4*m**3 to the form z + u*m**2 + p*m**3 + h*m and give u. 0 Express -8*c**4 + 51 - 51 + (-2*c - c + 0*c)*(-3 + 4*c**2 + 4*c**2 - 4*c**2)*(-2 + 2 - c) as r*c**2 + b + w*c**4 + a*c + l*c**3 and give r. -9 Rearrange (-2 + 3 - 2)*(-2*o + 0 + 0) + (-5 + 1 + 3)*(-o + 2*o - 2*o) + 2*o - 2*o - 2*o + (-3 - 1 - 1)*(o - 1 + 1) + 28 - 28 + 3*o to n*o + a and give n. -1 Express 4*d**2 + 3*d**2 + 21 + 3 - 9*d**2 in the form n*d + c + k*d**2 and give k. -2 Rearrange (15*v**4 - 7*v**4 + 8 - 5)*(-5 - 1 - 2 + (4 + 0 - 3)*(0 + 0 - 1) - 2 + 5 - 2 + 1 + 0 - 3) to the form k*v**2 + y*v + j*v**4 + h*v**3 + n and give j. -80 Rearrange (-x - 2*x + 2*x)*(-1 + 3 - 1) + (2 - 8 + 13)*(-3*x + 3*x - 2*x) + ((1 + 1 + 1)*(-4 - 1 + 4) + 0 + 3 - 1)*(-6 - x + 6) to the form y + h*x and give h. -14 Express (0*o - 1 - 3*o + 6*o)*(-4*o**2 - 7 + 2*o + 2 + 7) as h*o**3 + m*o**2 + v*o + f and give h. -12 Express 3*o**2 + 181*o**2 + 51*o**2 in the form v*o**2 + j + b*o and give v. 235 Rearrange -11*v**2 + 230 - 37*v - 230 to b*v**2 + w + x*v and give x. -37 Rearrange (146*i - 918*i + 137*i - 310*i)*(3*i**3 - 2*i**3 - 3*i**3) to p*i**4 + v + u*i + t*i**3 + h*i**2 and give p. 1890 Rearrange -2 + 255*j - 305*j - 310*j to k*j + i and give k. -360 Rearrange (-206 + 4*x**3 - 15*x**2 - 8*x**3 + 206)*(4 - 2 + 1) to the form p*x + b + l*x**2 + c*x**3 and give c. -12 Express (2*f**2 + f**4 - 2*f**2)*(-1 - 3 + 6) + 2*f**4 - 5*f**4 + 7*f**4 + 8*f**2 - 2*f**4 - 8*f**2 in the form y*f + s*f**2 + l*f**3 + v + k*f**4 and give k. 4 Express (7*m - 3*m - m)*(-3*m**2 + 3*m**2 - 2*m**2)*(19*m + m + 22*m)*(3 + 1 - 2) as p*m**4 + g*m + y*m**3 + q*m**2 + h and give p. -504 Express 28*b + 28*b - 17*b in the form s*b + w and give s. 39 Express (8*c - c - 9*c)*(-37*c**3 - 3*c**2 + 2*c**2 + 22*c**3) as g + j*c**3 + z*c**2 + y*c + d*c**4 and give j. 2 Rearrange (-5*b - 3 + 3)*(3*b - 2 + 2 + (0 + 3 - 4)*(1 - 1 - b)) + (-32 - 13*b + 32)*(4*b + 0*b - 3*b) to v*b**2 + o + y*b and give o. 0 Express -4 - 1290*p**2 + 1264*p**2 + 3 as d*p**2 + r*p + x and give d. -26 Rearrange -717160 + 717160 + 617*j to the form g + d*j and give d. 617 Rearrange (-4*q**2 + 2*q**2 + 3*q**2)*((-2 + 3 + 1)*(4 - 2 - 1) + 108 - 319 - 383) - 1 + 1 - q**2 to r*q**2 + l*q + s and give r. -593 Express (-38 + 38 - 8*y)*(4*y**2 + 2*y**2 - 4*y**2) + 2*y**3 - 3*y**3 + 2*y**3 in the form q*y + b + r*y**3 + l*y**2 and give r. -15 Express -7 + 1380*s + 763*s + 7 + 0 as t + r*s and give r. 2143 Rearrange 2355 + 17*d - 22*d**2 - 2355 to j + v*d**2 + n*d and give v. -22 Express -a + 5 - 5 + ((2 - 2 - 1)*(1 - 3 + 3) + 0 - 2 - 2 + 1 - 6 + 3 - 1 + 0 + 2 + (-5 + 0 + 6)*(3 - 2 + 0))*(-a - a + a) in the form u*a + j and give u. 4 Rearrange -1 - 79*h**2 + 234*h**2 - 93*h**2 to the form n + p*h**2 + v*h and give n. -1 Rearrange -157 + 163*h + 79 + 78 + 444*h to the form y + r*h and give r. 607 Express -53 + 2*p**4 - 4*p**2 - 190 - p**4 + 5*p**2 in the form q*p**4 + k*p + j*p**2 + f + a*p**3 and give q. 1 Express 3*h**2 - 32 + 17 + 12 + 3*h - 5*h**2 in the form u + k*h + n*h**2 and give n. -2 Rearrange -101*n + 11*n**4 - 22*n**2 + 105*n + 24*n**2 to the form j*n + u + r*n**2 + i*n**3 + q*n**4 and give q. 11 Express -51*g**2 - 88*g**2 - 299*g**2 - 59*g**2 + 12*g**2 in the form m + c*g + i*g**2 and give i. -485 Express -4*o**2 + 0 + 0 + (-o - 3*o + 3*o)*(-o + 4*o - 2*o) + 2 + 6*o**2 - 3*o**2 - 49*o + 22*o as f*o**2 + y + u*o and give f. -2 Rearrange (2*a - a + 0*a)*(0 - 4 - 6) + 4*a + 3*a + 2*a to w*a + o and give w. -1 Express 14*t**2 + 6 + 9 + 2*t + 14*t**2 - 12*t**2 as d*t**2 + v + g*t and give v. 15 Rearrange (-1 - b**3 + 1 + b)*(-30*b + 11*b - 8*b) + 16*b**4 + 4*b**4 - 9*b**4 to the form r*b**4 + s*b**2 + a*b**3 + z*b + h and give s. -27 Rearrange 966*r + 94*r + 50*r to the form c*r + d and give c. 1110 Rearrange (n**2 - 3*n + 3*n)*(-n + 2*n + 0*n) + (171*n**3 + 2399 - 2399)*(1 + 0 + 0) to the form i*n**3 + y*n**2 + a*n + k and give i. 172 Express -297*q + 672*q - 221*q in the form h*q + v and give h. 154 Rearrange -5*k - k - 19*k**2 + 10*k + 2 - 3*k to y*k**2 + u + d*k and give y. -19 Express w - 3*w + w - 1 + 1 - 2*w + (0 + 0 - 1)*(w - 2*w + 3*w) - 106*w - 152*w - 55*w in the form o*w + c and give o. -318 Express -18*u**2 - 10*u + 9*u**2 + 5*u**2 as l + s*u + n*u**2 and give l. 0 Express -22 - 22 + 859*x + 341*x + 44 in the form d + n*x and give n. 1200 Rearrange 13 - 6*b**2 + 9 - 33*b + 7*b - 22 to a*b**2 + o + k*b and give a. -6 Rearrange (6*p**2 - 2*p**2 - 2*p**2)*(-p + p + p) - 90*p**3 - 162*p**3 + 4*p**3 to x + l*p**3 + y*p**2 + v*p and give l. -246 Rearrange -g + 22 + 0*g + 159 + 85 to q + n*g and give n. -1 Rearrange -544 + o + 271 - 3*o**4 + 8*o**3 + 274 to the form k*o**3 + n*o + i*o**4 + f + q*o**2 and give n. 1 Express 29*r**2 + 430 - 10*r**2 - 432 + 2*r**3 in the form b*r**2 + h + t*r**3 + c*r and give t. 2 Express (-1 - y + 1)*(-105 + 240 - 122)*(2*y + 3*y - 4*y)*(-2*y**2 + 0*y**2 - 5*y**2) as a + w*y + r*y**3 + o*y**4 + g*y**2 and give o. 91 Express -32611*c + 32611*c - 644*c**2 in the form i*c**2 + w + f*c and give i. -644 Express 34*y - 121338 + 121338 in the form t + s*y and give s. 34 Express -3*g + 5*g - g + g - 65 in the form f*g + t and give f. 2 Express (29239 - 91*r**3 - 29239)*(1 + 0 - 3) as m*r**3 + a*r + k + q*r**2 and give m. 182 Rearrange 205*p - 48*p + 75*p + 330*p to t + g*p and give g. 562 Rearrange (148 + 237 + 145 - 437)*(-3*y**3 + 3*y**3 - y**3) to the form q*y**3 + w + o*y**2 + s*y and give q. -93 Rearrange -497*i - 140*i - 3*i - 173*i to the form a + q*i and give q. -813 Express (12039*q - 12039*q - 493*q**2)*(-5*q**2 + 5*q**2 + 2*q**2) as b*q**2 + y*q**3 + v*q + n + z*q**4 and give b. 0 Rearrange ((3*c - 2*c - 3*c)*(0 - 2 + 0) + (-2 + 3 + 1)*(1 + c - 1))*(2729 - 1363 - 1365)*(c + 2*c + 6*c) to the form l*c + w*c**2 + d and give w. 54 Rearrange -45*o + 81*o + 95*o + 2 to the form b + k*o and give k. 131 Express 17*c**2 - 6*c + 11*c - 7*c - 4*c**3 - 2*c**2 - 6 + 5 in the form o*c**2 + z + n*c + x*c**3 and give z. -1 Express (-1 + 2 + 0)*(-11 + 717*v + 11 + 431*v)*(-3 + 2 + 2) in the form k*v + q and give q. 0 Rearrange -2*m**3 - 9 - 2*m**4 - 2*m**4 + 7*m**4 + 708905*m**2 + 2*m - 708902*m**2 to k*m**3 + h + n*m**4 + t*m + c*m**2 and give k. -2 Express -86 - 362*g + g**2 + 175*g - 3*g**2 + 2*g**3 + 186*g in the form c*g**3 + a + i*g + z*g**2 and give i. -1 Rearrange 3*i + 4*i**2 + 127 - 4*i - 2*i**2 - i - i to the form j + c*i + v*i**2 and give j. 127 Rearrange b**2 + 4 - 4 + (1 - 1 - 2*b)*(b - 2 + 2) + (-19*b + 30*b - 19*b)*(-b - 3*b + 5*b) to the form i*b + k*b**2 + c and give k. -9 Rearrange (-2 + 2 - 5*s)*(-5 + 1 + 3 - 1 + 8 + 3 + (-3 + 3 - 2)*(-2 + 0 + 1)) to z + l*s and give z. 0 Express -6 + 1 - 12*m + 3 - 5 as z*m + h and give z. -12 Express ((2*o - o - 2*o)*(2 - 3 - 1) + (3 - 3 - 2*o)*(-19 + 83 + 20))*(o + 3*o - 2*o) as x*o**2 + j + g*o and give x. -332 Express 4 - 4 + 2*u**2 + (0*u - u - u)*(-3*u + 2*u + 3*u) - u**2 - 11*u**2 - 5*u**2 + (2*u + 4 - 4)*(-4 - 2*u + 4) as l*u**2 + f*u + k and give l. -23 Express 122 + j**3 - 16*j**2 - 248 - 9*j + 11*j - 3*j + 119 as h*j**3 + u*j + t + i*j**2 and give h. 1 Express (-1 + 1 + 2)*(0*g - 2*g + 0*g)*(2 - 17 - 4) in the form p*g + k and give p. 76 Rearrange 10 + 4*q**2 - 13 - 2*q**2 - 19*q + 5*q*
{ "pile_set_name": "DM Mathematics" }
ometers to meters. 0.02565131 Convert 6.859211 centimeters to millimeters. 68.59211 How many millimeters are there in 3/5 of a meter? 600 What is 45/4 of a litre in millilitres? 11250 Convert 209.466702us to days. 0.000000002424383125 How many millennia are there in 12.86115 years? 0.01286115 What is 1/5 of a millennium in centuries? 2 What is 833561.8 kilograms in grams? 833561800 Convert 3.318348 micrometers to kilometers. 0.000000003318348 Convert 240416.3 millimeters to micrometers. 240416300 How many millilitres are there in three fifths of a litre? 600 What is 1/5 of a millennium in months? 2400 What is 23/3 of a millennium in months? 92000 What is 3/25 of a millennium in decades? 12 How many millilitres are there in 95256.68 litres? 95256680 What is ten thirds of a century in months? 4000 How many microseconds are there in 9.068385 hours? 32646186000 What is 1/20 of a century in years? 5 What is 8/21 of a week in hours? 64 What is six fifths of a kilogram in grams? 1200 Convert 7481.5 nanograms to milligrams. 0.0074815 What is 0.6972269km in centimeters? 69722.69 How many hours are there in 546.2245 weeks? 91765.716 How many micrometers are there in one tenth of a centimeter? 1000 What is 8.448029l in millilitres? 8448.029 Convert 0.8188387 milligrams to nanograms. 818838.7 How many micrograms are there in five eighths of a milligram? 625 What is 54/5 of a litre in millilitres? 10800 Convert 89031.56kg to tonnes. 89.03156 What is 913.813 milligrams in grams? 0.913813 How many nanograms are there in 26/5 of a microgram? 5200 Convert 57.05132 hours to microseconds. 205384752000 What is fourty-nine fifths of a centimeter in micrometers? 98000 What is 7/8 of a day in seconds? 75600 What is three tenths of a gram in milligrams? 300 What is 3/50 of a gram in micrograms? 60000 How many months are there in 1/20 of a millennium? 600 Convert 0.0537888s to milliseconds. 53.7888 What is 27/4 of a litre in millilitres? 6750 What is 21/8 of a litre in millilitres? 2625 Convert 830836.6 meters to kilometers. 830.8366 How many months are there in 3/40 of a century? 90 How many centuries are there in 46/5 of a millennium? 92 What is 7/2 of a millimeter in micrometers? 3500 What is five eighths of a millisecond in microseconds? 625 Convert 16292.16s to minutes. 271.536 What is five sixths of a millennium in months? 10000 How many litres are there in 54.47074ml? 0.05447074 How many millilitres are there in thirteen eighths of a litre? 1625 What is 11/2 of a meter in millimeters? 5500 What is 45860.89 centuries in millennia? 4586.089 Convert 6.419073 kilometers to centimeters. 641907.3 How many meters are there in 5.082838mm? 0.005082838 Convert 0.0266847 millilitres to litres. 0.0000266847 How many microseconds are there in 77/2 of a millisecond? 38500 What is 47/4 of a litre in millilitres? 11750 How many kilometers are there in 5579.999 micrometers? 0.000005579999 How many litres are there in 29.40665 millilitres? 0.02940665 Convert 811582.4 litres to millilitres. 811582400 What is two ninths of a week in minutes? 2240 How many nanometers are there in 3.63226 kilometers? 3632260000000 How many millilitres are there in three eighths of a litre? 375 What is 4426.992 months in millennia? 0.368916 What is 206.7485 millilitres in litres? 0.2067485 How many millilitres are there in eleven halves of a litre? 5500 Convert 89659.35 nanograms to kilograms. 0.00000008965935 How many nanograms are there in 5.961946kg? 5961946000000 How many hours are there in 5/4 of a day? 30 How many months are there in 7.3817 centuries? 8858.04 How many minutes are there in one sixth of a hour? 10 What is 1/10 of a century in months? 120 Convert 697100.4 milliseconds to seconds. 697.1004 What is 27868.12 kilograms in grams? 27868120 What is 3/5 of a millennium in centuries? 6 What is 26/5 of a centimeter in micrometers? 52000 Convert 871.7799 years to decades. 87.17799 How many millilitres are there in fourty-nine quarters of a litre? 12250 How many micrograms are there in fourty-three halves of a milligram? 21500 What is eleven halves of a tonne in kilograms? 5500 How many millilitres are there in eleven eighths of a litre? 1375 What is 251.8574l in millilitres? 251857.4 What is 5.951905 days in hours? 142.84572 How many litres are there in 2.745107ml? 0.002745107 How many millilitres are there in seventeen quarters of a litre? 4250 How many decades are there in 885955.4 centuries? 8859554 Convert 26.2278 months to millennia. 0.00218565 What is fifteen quarters of a hour in seconds? 13500 How many months are there in one quarter of a year? 3 Convert 40111.58 milligrams to grams. 40.11158 What is 973.4236ml in litres? 0.9734236 What is 7/25 of a millimeter in micrometers? 280 Convert 37376.34l to millilitres. 37376340 Convert 70333.23 centuries to years. 7033323 What is 7/6 of a decade in months? 140 How many millimeters are there in 17/4 of a meter? 4250 What is 13/5 of a millimeter in micrometers? 2600 Convert 53.25915ml to litres. 0.05325915 How many grams are there in 838136.7ng? 0.0008381367 How many nanometers are there in twenty-seven fifths of a micrometer? 5400 What is 1/4 of a hour in seconds? 900 What is 2955.6 micrometers in millimeters? 2.9556 How many millilitres are there in 0.286403l? 286.403 How many centuries are there in six fifths of a millennium? 12 Convert 0.0660326 decades to months. 7.923912 How many litres are there in 244009.9ml? 244.0099 What is one twentieth of a millimeter in micrometers? 50 What is 31171.73 minutes in microseconds? 1870303800000 What is 507359.8 decades in months? 60883176 Convert 42.55887 centuries to years. 4255.887 How many litres are there in 895.4721ml? 0.8954721 What is 2957.257um in centimeters? 0.2957257 How many millilitres are there in 32/5 of a litre? 6400 What is 3/10 of a litre in millilitres? 300 How many millilitres are there in 24.83118 litres? 24831.18 What is 1/5 of a microgram in nanograms? 200 Convert 770006.2 kilograms to nanograms. 770006200000000000 How many millilitres are there in 3/10 of a litre? 300 How many months are there in one sixth of a century? 200 What is 0.2888694 centuries in months? 346.64328 How many grams are there in 18/5 of a kilogram? 3600 How many meters are there in 21/4 of a kilometer? 5250 Convert 69.1482um to nanometers. 69148.2 What is 3/5 of a micrometer in nanometers? 600 How many milligrams are there in thirteen eighths of a gram? 1625 How many litres are there in 80357.48ml? 80.35748 What is five quarters of a litre in millilitres? 1250 How many months are there in seventeen quarters of a decade? 510 How many seconds are there in 7/8 of a hour? 3150 Convert 3.132064 years to millennia. 0.003132064 Convert 110.63016us to minutes. 0.000001843836 What is 70202.78l in millilitres? 70202780 Convert 0.110687mm to centimeters. 0.0110687 What is 21/8 of a kilometer in meters? 2625 How many minutes are there in four fifteenths of a day? 384 What is four thirds of a day in hours? 32 What is 1/10 of a century in years? 10 What is fourty-seven quarters of a meter in millimeters? 11750 Convert 88893.43 micrometers to meters. 0.08889343 How many tonnes are there in 156.5964 grams? 0.0001565964 What is 49/5 of a meter in millimeters? 9800 What is 1585.483nm in kilometers? 0.000000001585483 Convert 67.78692 kilograms to grams. 67786.92 How many millilitres are there in 61.13474l? 61134.74 What is three tenths of a decade in months? 36 What is fifty-three fifths of a litre in millilitres? 10600 Convert 233638.2s to hours. 64.8995 How many grams are there in seven halves of a kilogram? 3500 Convert 4756.358 grams to tonnes. 0.004756358 What is one tenth of a century in years? 10 How many millilitres are there in 46/5 of a litre? 9200 How many years are there in 3.974182 decades? 39.74182 Convert 1.970291mg to micrograms. 1970.291 What is thirty-one fifths of a millennium in centuries? 62 What is 1/5 of a meter in centimeters? 20 How many grams are there in 27/4 of a kilogram? 6750 What is three eighths of a kilometer in centimeters? 37500 How many minutes are there in 105.1909 days? 151474.896 Convert 1484.417ug to grams. 0.001484417 What is 31/2 of a kilogram in grams? 15500 How many litres ar
{ "pile_set_name": "DM Mathematics" }
*q**3 + 2*q**2 + 5*q + 3. Let w be u(-1). Let a(p) be the first derivative of 5/2*p**w + p + 2. What is the first derivative of a(v) wrt v? 5 Let q be 4 + 2/(-1 + (-40)/(-35)). Find the first derivative of 31*v + q - 74*v + 42 + 9*v wrt v. -34 Let s = -1139 + 1141. Let f(d) be the second derivative of 0*d**3 - 8*d + 0 + 0*d**5 + 0*d**s - d**4 + 1/30*d**6. What is the third derivative of f(t) wrt t? 24*t Let i(k) = -2*k**2 - 6*k - 6. Let b be i(-4). Let a = 18 + b. Find the third derivative of -3*r**2 - a*r**2 - 8*r**3 + 2*r**2 wrt r. -48 Let r(t) be the first derivative of -7*t**2 + 22 + 0*t**3 + 0*t**4 + 0*t + 7/6*t**6 + 0*t**5. What is the second derivative of r(y) wrt y? 140*y**3 Let v(l) = 23*l**3 - 5*l**2 + 7*l - 2. Let o(y) = 23*y**3 - 6*y**2 + 8*y - 1. Let x(w) = -2*o(w) + 3*v(w). What is the second derivative of x(u) wrt u? 138*u - 6 Suppose 2*z = -2*t + 4, -7 = 2*z - 3*t - 21. What is the third derivative of 6*j**2 + 6*j**5 - 16*j**5 + 4*j**5 + z*j**5 wrt j? -120*j**2 Let n(h) be the second derivative of -11*h + 2*h**3 + 0 + 3/4*h**4 + 0*h**2. What is the second derivative of n(g) wrt g? 18 Let c(n) be the third derivative of -n**6/60 + 11*n**5/60 - 7*n**4/12 + 2*n**2 + 9*n. Find the second derivative of c(t) wrt t. -12*t + 22 Let c(j) = -96*j**3 - 3*j**2 + 6*j - 12. Let t(k) = -k**3 - k**2 + k + 2. Let d(g) = -c(g) + 3*t(g). What is the second derivative of d(r) wrt r? 558*r Let h(d) = -d**3 + 21*d**2 - d + 27. Let n be h(21). Let l = 14 + -12. Find the third derivative of 7*i**2 - l*i**2 + 2*i**2 - 5*i**n wrt i. -600*i**3 Let z = -24 + 29. Suppose -6*n - 5*j - 14 = -z*n, -3*n + 38 = -5*j. What is the third derivative of 6*m**6 - 6*m**2 - m**n + 0*m**6 wrt m? 600*m**3 Let t(y) = y**2 + 4*y - 8. Let i be t(-6). Let w be i/(-22) + (-112)/(-11). What is the second derivative of -5*p**3 + 0*p**3 + w*p**3 + p - 3*p wrt p? 30*p Let g(q) be the third derivative of 61*q**5/15 + q**4/24 + 5*q**3/6 + q**2 - 15. What is the second derivative of g(y) wrt y? 488 Let l be (68 + -2)/(2 + -3 + 3). Find the third derivative of -l*a**5 - 44*a**5 - 43*a**2 + 96*a**5 wrt a. 1140*a**2 Let p(z) be the third derivative of z**8/336 + 13*z**7/210 - 37*z**4/12 + 35*z**2 - z. What is the second derivative of p(l) wrt l? 20*l**3 + 156*l**2 Suppose -20 = -b + 3*c - 6, 3*c = 3*b - 18. Find the second derivative of 18*x**3 + 12*x + 50*x**b - 50*x**2 wrt x. 108*x Let z(b) = b + 2. Let i(q) be the second derivative of -5*q**3/6 - 5*q**2 - 6*q. Let u(c) = -2*i(c) - 11*z(c). What is the first derivative of u(n) wrt n? -1 Let q(f) be the first derivative of f**6/3 + 4*f**5/5 + 97*f**3/3 - 85. What is the third derivative of q(d) wrt d? 120*d**2 + 96*d Find the second derivative of 168*g**5 - 3 + 69*g - 537*g**5 - 4*g wrt g. -7380*g**3 What is the second derivative of 48*j + 280*j + 274*j**2 + 157*j**2 + 176*j**2 wrt j? 1214 Let b(h) = 31*h**3 + 4*h**2 - 116. Let m(s) = 30*s**3 + 3*s**2 - 115. Let d(g) = 5*b(g) - 6*m(g). Differentiate d(q) with respect to q. -75*q**2 + 4*q Let w(c) be the third derivative of 11*c**6/24 - 3*c**5/10 - 2*c**2 + 8. What is the third derivative of w(o) wrt o? 330 Let i(b) = b**3 + 4*b**2 - 4*b - 3. Let z be i(-4). Let j = -8 + z. Find the second derivative of -19*f**3 + j*f + f**5 + 19*f**3 wrt f. 20*f**3 Find the first derivative of 84*z**3 - 75 - 11 + z**3 wrt z. 255*z**2 Differentiate -296*q**3 + 38*q**2 - 13*q**2 - 25*q**2 + 689 wrt q. -888*q**2 Let a(u) be the first derivative of 19*u**6/6 + 11*u**3/3 + 4*u**2 + 9*u + 562. What is the second derivative of a(z) wrt z? 380*z**3 + 22 Let k(c) be the first derivative of -c**4/4 - 2*c**3/3 - c**2 - c + 7. Let t be k(-2). Find the third derivative of 2*s**t - 5*s**3 - 5*s**2 + 10*s**2 wrt s. -18 Suppose 6*f = 5*f. Suppose -2*u + 8 = 0, -2*r - 3*r - 5*u + 490 = f. Differentiate -85 + 5*n + r - 3*n wrt n. 2 Let y(x) be the first derivative of 22 + 40*x + 0*x**2 - 3/4*x**4 + 0*x**3. Differentiate y(l) with respect to l. -9*l**2 Let j be (-2)/(-6) - 8/6. Let p(s) = 6*s**2 + s + 1. Let n be p(j). Differentiate -5*y**2 - 6 + 8 - n wrt y. -10*y Let a(y) = 1040*y**2 - y + 151. Let t(h) = 2082*h**2 - 2*h + 302. Let u(m) = -5*a(m) + 3*t(m). Find the second derivative of u(d) wrt d. 2092 Let u(m) be the second derivative of 163*m**5/20 + 317*m**4/6 + 4*m + 14. Find the third derivative of u(y) wrt y. 978 Let q(d) be the third derivative of 79*d**7/70 - 77*d**3/2 + 38*d**2. Differentiate q(i) wrt i. 948*i**3 Let b = 36 + -7. Suppose -r = 4*d + 3 - 24, -5*r + b = d. What is the second derivative of -4*z - d*z**4 + 4*z - 3*z**4 - 3*z wrt z? -84*z**2 What is the second derivative of -58*y**5 + 169*y**5 + y**2 - 59*y**5 - 61*y**5 + 125*y wrt y? -180*y**3 + 2 Let g(i) be the second derivative of 0*i**2 - 5/6*i**6 + 13*i + 0*i**4 + 0*i**5 + 0 + 1/3*i**3. Find the second derivative of g(q) wrt q. -300*q**2 Find the first derivative of i**4 - 18*i**2 + 56 - 18*i**2 + 36*i**2 - 20*i**3 wrt i. 4*i**3 - 60*i**2 Let s(p) be the second derivative of 0*p**2 - 1/12*p**4 - 11*p + 1/2*p**5 + 0 + 0*p**3. Find the third derivative of s(k) wrt k. 60 What is the third derivative of 10*w**2 + 4*w**2 - 10*w**2 - 16 - 95*w**3 - 53*w**3 wrt w? -888 Let t(p) be the third derivative of 0*p**4 + 44*p**2 + 0*p + 0*p**6 + 0 - 22/105*p**7 + 0*p**3 - 17/60*p**5. Find the third derivative of t(h) wrt h. -1056*h Let b = -554 + 554. Let c(o) be the first derivative of b*o**2 - 8 - 3*o - 8/3*o**3. What is the first derivative of c(l) wrt l? -16*l Let b(g) = g**2 - 3*g + 1. Let n(j) = -26*j**2 + 32*j - 26. Let o(a) = -12*b(a) - n(a). Differentiate o(r) with respect to r. 28*r + 4 Let m(n) = n**3 + 10*n**2 - 12*n + 27. Let c be m(-11). Find the second derivative of c + 26*h**3 - 38 + 38*h wrt h. 156*h Let u be (-2 + 4 - 10)*-2. Suppose 2*j = 34 + u. Differentiate -13 + 1 - 3*z**2 + j with respect to z. -6*z Let w = -15 - -12. Let c(y) = -41*y**3 - 13*y**2 - 3. Let t(z) = 41*z**3 + 13*z**2 + 4. Let k(f) = w*t(f) - 4*c(f). Find the third derivative of k(q) wrt q. 246 Suppose 751 - 124 = 57*a. Let u(f) be the second derivative of a*f + 1/6*f**3 - 2*f**2 + 0. Differentiate u(r) wrt r. 1 Let u be -1 + (-64)/(-10) + 2/(-5). What is the second derivative of 19*f - 6*f**u + f**2 - f**2 + 28*f**5 wrt f? 440*f**3 Let g(o) be the first derivative of 29*o**4 + o**3/3 + 344*o + 212. What is the derivative of g(v) wrt v? 348*v**2 + 2*v Let j be (-1 + -2)/1 + 5. Let p(s) = -65*s**2 + 107. Let o(h) = 16*h**2 - 27. Let n(b) = j*p(b) + 9*o(b). Differentiate n(d) with respect to d. 28*d Let q(h) = -h**3 + 6*h**2 + 10*h - 13. Let f be q(7). Suppose 28 = 4*i + f. Find the third derivative of -i*g**2 + g**5 + 3*g**2 - g**2 wrt g. 60*g**2 Let k(d) = d**3 - 9*d**2 - 2*d + 21. Let l be k(9). What is the first derivative of 7*x**3 + 19*x**3 - 4*x**l - 21 wrt x? 66*x**2 Let t be 1 + (1 + 3 - 3) + 4. Find the third derivative of -43*c**2 + 16*c**t - 3*c**2 + 93*c**2 wrt c. 1920*c**3 Let j(p) = -10*p**3 - 9*p**3 + 11*p**3 - 3 - 4*p. Let a(w) = -23*w**3 - 11*w - 10. Let t(r) = 4*a(r) - 11*j(r). What is the derivative of t(m) wrt m? -12*m**2 Let r(n) be the third derivative of -25/24*n**4 + 0 + 0*n**5 + 3/70*n**7 + 25*n**2 + 0*n + 0*n**6 + 0*n**3. What is the second derivative of r(h) wrt h? 108*h**2 Let h(c) = 550*c**2 + 83. Let n(g) = 276*g**2 + 41. Let x(m) = 6*h(m) - 13*n(m). Find the first derivative of x(p) wrt p. -576*p Let i(d) = -d**3 - 6*d**2 - 4*d - 20. Let t be i(-6). What is the third derivative of -12*v**2 + 92*v**4 - 92*v**t + 8*v**6 wrt v? 960*v**3 Let n(i) be the first derivative of 5*i**4 - i**3/3 + 235*i - 130. Differentiate n(q) wrt q. 60*q**2 - 2*q Let n = -12 - -18. What is the third derivative of 14*b**2 + 0*b**4 - n*b**4 - 6*b**4 + 0*b**4 wrt b? -288*b Differentiate -27 - 584*p**3 + p**2 - 2*p**4 + 584*p**3 + 5*p**2 wrt p. -8*p**3 + 12*p Let u(l) be the third derivative of -191*l**5/60 - 961*l**4/24 + 941*l**2. What is the second derivative of u(d) wrt d? -382 Let n(p) be the third derivative of 5*p**6/6 + 23*p**5/20 + 2*p**2 + 71. Find the third derivative of n(v) wrt v. 600 Let q(v) = -26*v**2 + 7*v - 24. Let d(g) = -14 - g + 2 + 5*g + 5*g**2 - 18*g**2. Let t(b) = -7*d(b) + 4*q(b). What is the first derivative of t(j) wrt j? -26*j What is th
{ "pile_set_name": "DM Mathematics" }
n + i. Which is the closest to 1/3? (a) h (b) 0.5 (c) -3 b Let j = -3339 - -3340. Which is the nearest to -0.15? (a) -2/3 (b) 0.4 (c) 2 (d) j a Let x = 46/377 - 8/29. What is the nearest to 4 in x, -12, -1, 5? 5 Let m = -2.786 + 2.686. Which is the nearest to m? (a) 3 (b) 0.3 (c) -15 (d) 5 b Let a = -333778.5 + 333779. Let x = -0.3 - -0.28. What is the closest to -2/5 in 2, a, 4, x? x Let s = 0 - 2. Let v = -18.9 + -2.1. Let f = 21.1 + v. Which is the nearest to 0? (a) s (b) f (c) 3 b Let r = 156676 - 156677. Suppose 6*k - 10 = k. What is the closest to 2/3 in -2/5, 3/2, k, r? 3/2 Let l = 0.8 + -0.5. Let w = 108017 - 108016.77. Which is the closest to -2/3? (a) l (b) 5/3 (c) w c Let g = -40117 - -40123. Let p = 101 - 907/9. Which is the closest to g? (a) 5 (b) p (c) 6 c Suppose -3*o + 10 = -0*o + j, -5*o + j = -6. Suppose -19 + 11 = -o*s. What is the nearest to -3 in s, -0.03, -3? -3 Let v = -13161 - -13197. Which is the closest to 5? (a) -2/5 (b) -3 (c) v a Let u = -108.33 + 113.33. Which is the nearest to u? (a) -5 (b) 3 (c) -3/2 b Let o = -2.637 + 0.687. Let l = -1.85 - o. What is the closest to 2/15 in -0.5, 0.5, l? l Let n = -154.8 + 152.738. Let v = 0.062 + n. Which is the nearest to v? (a) -0.4 (b) -0.8 (c) -0.2 b Suppose 162*j + 130*j = 58*j + 10764. Let q be ((-2)/15)/(2/20). Which is the closest to j? (a) 1 (b) q (c) 3 (d) -4 c Let m = 12845 + -12865. Which is the closest to 0.44? (a) 1/5 (b) 0.1 (c) m (d) -2 a Let c = 0.014 + 0.554. Let u = 0.168 - c. Let b = -3 - -6. What is the nearest to -0.1 in b, u, 0.4? u Let u = -8.951 - -8.51. Let n = u - -0.241. What is the closest to n in -1/2, -3, 0? 0 Suppose -71*h - 1323 = 5*w - 68*h, 4*w + 2*h + 1060 = 0. Let y = w + 267. What is the closest to y in -0.1, -0.03, 4, 3? -0.03 Suppose 0 = u + 3 - 2. Let v be 5 - 5/1 - u*5. Let f be (-5)/((3 - v)/(-2)). Which is the nearest to f? (a) -4/3 (b) 1/5 (c) -1/7 a Let u be (-4983)/55 - (-6)/10. Let m = 4945 - 25177/5. Let y = m - u. What is the closest to -1 in -1/5, 1, y? y Let m = 3 - -2. Let i = -9716.1 - -9716. What is the nearest to -1/2 in -12, i, m? i Let u = 50.9 + -50.4. Which is the closest to -2/11? (a) -4 (b) -3 (c) u (d) 9 c Suppose 2*t - 4 = 5*r, 13*t - 71*r + 66*r + 29 = 0. Let v = -0.938 + -0.062. Which is the nearest to v? (a) t (b) 0.1 (c) 3 (d) -9 b Suppose 32*l - 6*l - 73*l = 94. Which is the closest to -1? (a) 0.3 (b) l (c) -2/5 (d) 83 c Suppose -28 = -10*v + 12. Let n = 3.68 + -3.62. Let r be -2 - (-75)/27 - 1. What is the nearest to n in r, v, -0.2? -0.2 Let c = 2.06 + -0.06. Let r(n) = -8*n + 333. Let l be r(46). Let p be (1*-2)/(40 + l). What is the nearest to 2/3 in c, p, -3? p Suppose -2*q - q + 9 = 0. Suppose -10 = 4*s + q*w, -2*s = 3*s - 4*w - 3. Let y = -194.9 + 195. Which is the nearest to 7? (a) y (b) s (c) -0.2 a Let i = -15.8 + -368.8. Let m = i + 385. Which is the closest to 22? (a) 0.3 (b) m (c) 0.1 (d) -1/3 b Let l = -2/453 + 940/7701. Let a = 0.088644 - -0.911356. What is the nearest to -9 in a, l, -2/21? -2/21 Let a = 0.00536 - 0.30536. Let s be (-340)/(-119) + -3 + 0. What is the nearest to 0.3 in -1, s, a, 0.4? 0.4 Let c = -11351 - -11351.6. What is the nearest to -2 in -0.1, c, -6/289? -0.1 Let x = -194 - -193.8. What is the nearest to 1/3 in 49/2, x, -0.5? x Let v = 25859 - 25860.1. What is the closest to v in -4, 0.06, -2/15? -2/15 Suppose -3*a - 2 = -4*a. Let m = 0.9194 + -1.9194. What is the closest to a in -1/6, m, 6? -1/6 Let h = -0.2 + 0.1. Let v = h + 0. Let r = 1.2936 - 1.3936. Which is the nearest to v? (a) -3 (b) r (c) 4 b Let f be 3/2 - 210/100. Let x = -46 - -49.8. Let d = x + -3.9. What is the nearest to -1 in d, 1, f? f Let p = 2669 - 2669.1. Which is the nearest to 0? (a) -0.3 (b) -19 (c) p (d) 2/5 c Let v = 16685.8 - 16688. What is the nearest to 7 in -1, v, -2? -1 Let i = -64.657 + -0.343. Let g = i + 118. What is the closest to 1/4 in 2/3, g, 0? 0 Let w = 727 - 729. Let g be 602/(-728) - w/26. Which is the closest to -2? (a) 4 (b) 1 (c) g c Let u = 0.359 - 0.759. Let n = -100 - -95. Which is the nearest to 0? (a) u (b) n (c) 34 a Let t = -49136/7 - -7019. What is the closest to -2/19 in t, 0.19, -1? 0.19 Suppose -5360*d + 5363*d = 2*a - 3, -10 = 5*d - 5*a. What is the closest to 1/4 in -4/7, 0.3, d, 42? 0.3 Let l = -61 + 59. Suppose 1083*o = 1072*o + 11. Let h = 3.5 - 0.5. Which is the nearest to o? (a) -5 (b) h (c) l b Let d = 36 + -34. Suppose -2 = -l + d*l. Which is the closest to 0? (a) -0.1 (b) l (c) -0.02 c Let y = 9.2 - 9. Let j = -1.745 + 1.775. Which is the nearest to y? (a) -2/3 (b) -0.4 (c) j c Let g(t) = -6*t - 35. Let h(o) = o**2 + 10*o + 17. Let f be h(-6). Let l be g(f). Which is the nearest to 1/4? (a) -6 (b) -4 (c) l b Let r = -1847 + 1846.5. What is the closest to -2/5 in -2, r, -2.8? r Suppose -b - 7*b + 8 = 0. Let l = -9222 - -9218. What is the nearest to l in -2/21, b, 1/4, -0.01? -2/21 Let o = -64 + 47. Let u = o - 0. Let s = 18 + u. What is the nearest to s in -2/3, -3, 0.05? 0.05 Let v = -1036.4 + 1036. What is the closest to 5 in 0.019, v, 2/5? 2/5 Let q = 1.797 + -1.997. Which is the closest to q? (a) -1/2 (b) -23 (c) -1/9 (d) 0.3 c Let v = 61 + -41. Let o = v + -16. Let u = 2.013 - 0.013. What is the nearest to u in 1, o, 6/11? 1 Let z = 0.02 + -0.22. Let c = 474 + -479. What is the nearest to -2 in 0.11, c, z? z Let k = 0.8 - 0.3. Let d = 997920 + -997920.2. What is the closest to k in d, 0.4, 5? 0.4 Let d = -1.436 + 1.63. Let s = 0.006 + d. Which is the closest to 2? (a) -1/4 (b) s (c) 1 c Let c = -38626 - -38629. Let w be (1 - 0) + 20/(-14). What is the closest to w in c, -5/2, 2/11, 1/2? 2/11 Suppose 2*c + 12 = -10*c. Let v be (c + (-9)/(-6))/((-6)/(-12)). Let d be 1 - v - (4 - 1 - 5). What is the nearest to -2 in 0.1, -2, d? -2 Let d(l) = 55*l - 234. Let y be d(17). Let n = -701 + y. Let o = 1.2 - 0.2. Which is the closest to o? (a) 1/8 (b) 1/4 (c) n b Let h = 72.3 + -84.9. Let b = h - -15.6. What is the nearest to 0 in 4, -184, b? b Let j = 83.66 - 96.06. Which is the nearest to j? (a) 3 (b) -2 (c) -3/4 b Let o = 3 - 3.2. Let g = -797/56 - 15/56. Let r = g + 137/10. What is the nearest to o in -3, r, 2? r Let y = -350 + 1399/4. Suppose 4 = -h, 7 = -5*g + 4*h - 7*h. Which is the closest to 8? (a) y (b) -4 (c) g c Let g = 0.1 + 0.9. Let u = 43167/7 + -6167. What is the closest to u in 2, -2/5, g? -2/5 Let r be 9*((-2)/26)/(1*-3). Let x = 77/221 - r. Let f = 3.16 - 3.1. What is the closest to -1 in f, -4, x? f Let s = -443/91 + 33/7. Let p = 76681.2 - 76681. What is the closest to -1 in -4, s, p? s Let t = 8855.1 - 8855. What is the closest to t in 0.5, -25, 0.4, -1.1? 0.4 Let v = -20 + 13. Let q be 286/(-390) + -1 + (-2)/(-5) - -1. Which is the nearest to v? (a) 5/3 (b) q (c) 1 b Let b be 3/(5 + -2) - 7. Let a be 6/(-10)*b/27. Let q = 10881 - 10887. What is the nearest to 2/7 in 2/9, a, q? 2/9 Let h = 220.53 + -2.53. Let i = -218 + h. What is the nearest to 1/2 in i, -2/5, -2? i Suppose 0 = 4*p - 5*o - 48, 11*p + 1 = 10*p - 2*o. Let q be 2/4*-9*p/(-21). Which is the closest to -2/9? (a) q (b) -0.1 (c) -0.01 b Let r be 3/(-48) + (-17)/(-272). Let m = 1083/35 + -204/5. Let h = m - -117/14. Which is the nearest to -0.1? (a) h (b) r (c) -1/3 b Let i = -0.09355 + 0.08855. What is the closest to 2 in i, -1/6, -1/5? i Let o = -1769 + 1767. Let k be (-3)/(-9) - (-17)/3. Let c be k/(-4)*16/84. What is the nearest to 0.1 in c, o, -0.5? c Let t = -81231 - -81235. Suppose -5*m - 19 = 4*r, 4*r + 4*m + 13 = m. What is the closest to t in 3, 0, r? 3 Let t be 5/(-13)*(-10)/(-25). Let g = -13653 + 13655. Which is the closest to 1? (a) 0.16 (b) g (c) t (d) -1/6 a Suppose 2*w + 6 + 0 = 0. Let p = 37.26 - 37.66. What is the closest to w in 0.5, p, 2/23, -3? -3 Suppose 358190*o = 358177*o + 156. Let w = 0.7 - 1. What is the nearest to -1/3 in w, -0.2, o? w Let v = 16009 + -16008.9. Suppose 4*o - x = -57, 3*o - 5*x + 2*x = -36. Let c be 5*(12/o)/1. What is the nearest to v in -5, 0.4, c? 0.4 Let u(y) be the first derivative of 15/2*y**2 + 1/3*y**3 - 17*y + 22. Let j be u(-16). Which is the nearest to j? (a) 17 (b) 2 (c) -5 b Suppose 3*z - 600 = 28*z. Let j =
{ "pile_set_name": "DM Mathematics" }
-2 3 ((-30)/35)/(-6)*2 2/7 What is the value of 0*13/(-26) - (7 + -1 + -4)? -2 What is the value of (16/(192/420))/1 + -5? 30 What is 1/12 + 47816/(-894048)? 2/67 Calculate 7 + -3 + -3 + -108 + 99. -8 What is 6/(-84)*-35*(0 + 4/(-160))? -1/16 Calculate (5895/135 + -27)*(-6)/(-4). 25 What is (65 + -69)*(-45)/12? 15 Evaluate 4 + 0 + -52 + 55 - 1. 6 Calculate (61/732)/(2/(-8))*-7. 7/3 (-54)/(-63) + (-1806)/735 -8/5 What is -2*(3 - 1) - (-266 + 242)? 20 Evaluate 4/(-3)*2/((-572)/33). 2/13 What is the value of (226/5537)/((-2)/14)? -2/7 Calculate (1 - 2 - (-42)/(-18))/((-441)/(-189)). -10/7 What is (-33)/7 + (-90)/(-22 + 4)? 2/7 Calculate ((-396)/210)/(-6) + (-39)/((-1365)/10). 3/5 Evaluate (-99)/90 - (49/(-14) + 3). -3/5 Calculate (700/(-63))/((-64)/(-40) - (-528)/(-180)). 25/3 Calculate ((-2)/(-4) + (-27)/6)*(-140)/3920. 1/7 (-171)/(-12) - ((-182)/(-130) - (-86)/(-40)) 15 What is the value of (-45)/(-90)*10/(-175)? -1/35 What is the value of ((2/4)/(15/10))/((-109)/981)? -3 (-10)/12*((-18921)/1060)/17 7/8 (4/(-20))/((-5)/(75/(-14))) -3/14 ((-120)/16)/5*12/90 -1/5 What is ((-1)/(-2))/(2/(-26) - 17922/2262)? -1/16 Evaluate -9 - (-10)/((-140)/42). -12 What is the value of 5 + (-91)/((-3276)/(-216))? -1 Calculate (6 - 16440/2745)*3. 2/61 Calculate ((-324)/(-45))/6 + 330/(-25). -12 Evaluate -4 + 148/5 + (70/(-25))/(-7). 26 Calculate 6*1/(-32)*(-608)/2280. 1/20 Calculate 17*215/731 - -10. 15 What is 184/276*(-46)/(-4)*(-4 + 1)? -23 Calculate (-9)/2 + 17/((-85)/(-30)). 3/2 What is (2387/(-399) - -6)*216/(-12)? -6/19 -17 + -2 + 90 + -52 19 Evaluate 297/12 - 18/(-72) - 2. 23 (-6)/4*((-1)/((-18)/(-174)) + 9) 1 What is the value of ((-20)/45)/((-32)/24)? 1/3 What is 123708/12168 + (11/6 - 1)? 11 Evaluate 180/(-36)*(96/(-60) + (8 - 0)). -32 What is the value of (1 - 1)*((-456)/(-24))/190? 0 What is (21/1134*18)/(((-5)/3)/5)? -1 Calculate -1*6/4 + (-1944)/(-144). 12 What is (-20)/35 + (-1122)/(-5712)? -3/8 Calculate 3 - 100/7 - (-34 + 4720/140). -11 (-4)/(-14) + ((-12012)/67914)/(4/6) 1/49 What is the value of (-8 + 3 - (-92)/18)/(63/1134)? 2 What is the value of 96/30*368/8832? 2/15 What is ((-72)/12996)/(3/(-57))? 2/19 Calculate 3 + -15 - 4*-1 - 7308/(-928). -1/8 21 + 0 - (-7 + 8 + (10 - 3)) 13 What is 28/(-238) - (-1472)/(-1360)? -6/5 19 + 1485/(-77) - 2/(-7) 0 Calculate ((-98)/4459)/((-6)/26). 2/21 Calculate ((-46)/(-1426))/((-3)/(-2238)) - (-2)/(-31). 24 Calculate ((-224)/(-140) - (-46)/(-10)) + (-46)/(-18). -4/9 -1*(-5 - -4)*((-8)/(-14))/(-2) -2/7 Evaluate (-1)/(-1) + (63/(-54))/((-4)/(-4)). -1/6 What is the value of 1 + (-33)/27 + (15 - (-22155)/(-1512))? 1/8 Evaluate (7 - 22/((-4004)/(-1326)))/((-3)/(-7)). -2/3 What is the value of 2/11 - (-48)/(-22)? -2 Calculate ((15/2)/(-3))/((-1990)/9552). 12 Calculate -10 - ((-2932)/(-420) + (-51)/3). 2/105 What is the value of 9/(3/10 + 24/20)? 6 4/(6/(-17 + -7) + (-22)/8) -4/3 Evaluate ((-1)/4)/((-98)/224). 4/7 What is ((-490)/42)/((-85)/(-51))? -7 What is the value of (-20 - -12 - -6)/15? -2/15 Calculate 66/(-16) + (14 - 15)*-6. 15/8 What is (4470/(-2384))/((-3)/2)? 5/4 What is 2*((-5)/10)/(26/104)? -4 Evaluate (459/(-765))/(48/40). -1/2 What is the value of -51 - (4 + -34) - (1 + 0)? -22 What is the value of 98/343 + (89/7 - 3)? 10 What is the value of (63/(-189))/((-3)/90)? 10 What is the value of (-35)/(-15)*-3 + 16? 9 What is the value of 36/(-45)*(804/27 + (-6)/(-27))? -24 What is the value of 10/6 + 174/(-18) + 60/6? 2 What is the value of (20184/9251)/((-8)/6)? -18/11 What is 4*-2 - 175/42*-3? 9/2 What is 90 + -78 - 17/1? -5 What is (-16)/42 + (-585)/(-35) + -17? -2/3 What is the value of ((-6)/16)/((-231)/(-9240))? -15 What is 172/602 + (-3)/15 + 4/(-14)? -1/5 What is the value of ((-15530)/(-4659))/((-10)/(-84))? 28 (-7)/(98/12) - ((-24)/56 + -1) 4/7 What is ((-12)/76)/(44 + -41)? -1/19 What is 48/64*(-364)/(-21)? 13 Calculate (-4)/(28/(-133)) + 12/(-18)*-12. 27 256/(-14) - (-143)/(4147/522) -2/7 2*12*(2/(-5))/((-708)/(-590)) -8 What is 294/1071*72/(-42)*3/(-12)? 2/17 What is the value of ((-3)/9 + ((-2288)/33)/13)*3? -17 Evaluate 188/(-24) + ((-87)/(-18) - 4). -7 What is 1324/(-9930) - (-214)/30? 7 Evaluate ((-1790)/4475)/(4/10). -1 What is ((-408)/48 + 12)/(1/(-4))? -14 What is the value of (-1 + 4/3)/(851/12765)? 5 ((-386)/(-30))/1 + 164/1230 13 Calculate 44/2 - 5162/232. -1/4 Calculate (-12)/258 + 3250/23650. 1/11 Evaluate 1113/(-742)*21/18. -7/4 What is the value of (-44)/24 + 1 + (-1323)/162? -9 Evaluate 20/35 - (12 + 1204/(-98)). 6/7 What is the value of ((-18)/2 - (7 - 13))*(-2)/(-54)? -1/9 What is the value of (-2)/(-18)*-8 - (-916)/687? 4/9 Calculate (-8)/6 + 169/507. -1 What is the value of 8 + (156/(-364) + 2/21)*20? 4/3 Calculate -3*12/18*(-19)/(-228). -1/6 Calculate (-8)/(-451) - 5169/(-70643). 1/11 What is the value of 184/14 - 0 - 972/(-1134)? 14 What is -6 + (-1202)/(-598) + 4 + 5/65? 2/23 What is 252/(-15)*13/26 + 3 + 6? 3/5 Calculate (-675)/375 + 2*345/50. 12 Evaluate (13/(-65))/(2/3*6/(-180)). 9 What is the value of ((1443/(-74))/(-13))/((-6)/40)? -10 Evaluate (9/54*3*-7)/((-14)/8). 2 What is the value of (-12)/(-28) - (1/(-14) - 0)? 1/2 What is the value of 26/264 - (-21)/(-1764)*-7? 2/11 Evaluate (-211)/1688 + 18/16. 1 Calculate 40/99 + (-612)/3366. 2/9 135/(-18)*(175/21 - 7) -10 Evaluate -23 - 101/(505/(-180)). 13 Calculate (320/(-78) - -4)/(-5*(-42)/(-455)). 2/9 477/(-212) + ((-115)/100 - 2/(-5)) -3 Calculate 6/(-176)*(-41 + 266/14 + 14). 3/11 Evaluate 240/13 + 1236/(-2678). 18 Evaluate ((-36)/28 - -1)*(12 + (-2780)/220). 2/11 Calculate 7 + -2 - (-2679)/(-141). -14 ((-4)/(-726))/((-420)/(-2310)) 1/33 What is the value of (-10)/(5 + 0/2)? -2 Calculate (-48)/(-27)*(-36)/(-48)*6*2. 16 Calculate 1*6/18 + (-28)/21. -1 (18/(-24)*-11)/((-183)/244) -11 What is the value of ((-5)/45*-6)/(261/(-27) + 11)? 1/2 What is (16 + (-666)/42)/((-15)/75)? -5/7 What is the value of 16/(((-48)/(-21))/(-2) - (-2880)/4480)? -32 Evaluate ((-3 - -1) + 0)/(-31 - (-3150)/100). -4 Calculate ((-1)/2)/((-97)/(-1552)). -8 Calculate 588/50 - 4068/(-16950). 12 Evaluate 9 + (-2 + (-4)/(-3))/((-572)/6006). 16 6*(1/(-3))/((-2)/(-12)) -12 Evaluate (-360320)/(-55040) - 26/4. 2/43 ((-4)/222)/(24/30*15/(-18)) 1/37 What is 2 + (1 - 14)*(-14)/(-126)? 5/9 -4 + (-209)/(-836)*(2 - (-1 - 33)) 5 Calculate (-8)/(-7) - (6290/(-119) - -24). 30 What is the value of ((-848)/(-120) + -8)/((-84)/72)? 4/5 What is the value of (-8)/(-44)*84/56? 3/11 What is the value of (51 - 50)/((-5)/(15/(-6)) + 1)? 1/3 What is the value of (-969)/(-153) - 1001/33? -24 What is (8/12)/(-10 + -11 + 15)? -1/9 Evaluate 4*(40/70 + 450/168). 13 What is the value of ((-2)/(-4))/((-560)/28 - (-220)/8)? 1/15 What is (-340)/(-22 + -12)*(3/(-15) - 1)? -12 (-77691)/7047 + (-12)/(-486) -11 What is the value of ((-42)/(-140))/((-2)/4*-1)? 3/5 What is the value of 2*(-3)/33 - (1 - 69/77)? -2/7 What is the value of ((-496)/(-93))/((-112)/(-63))? 3 Calculate (-2)/(-13) + 9*352/(-15444). -2/39 Calculate 78/153*6 - (-82)/(-1394). 3 (-433)/252 + 672/384 2/63 Calculate (462/108 - 4)/((-225)/(-180)). 2/9 What is 620/(-70) + (-4)/((-68)/153)? 1/7 What is the value of (-1260)/13224 - 11/(-638)*4? -1/38 What is the value of ((-4)/(8/3))/((162/(-240))/9)? 20 What is 8/(-8)*(1 + -1)? 0 What is the value of 12 - ((-2015)/(-93))/((-64)/(-36))? -3/16 What is ((-224)/49)/(2/7)? -16 What is ((-36)/(-15))/((-90)/225)? -6 What is -67 - (-101416)/1512 - 136/1107? -2/41 (-5)/(-1)*(-1040)/(-650) 8 What is the value of 33/154 - 2/((-252)/2493)? 20 Evaluate (14/4 - -2)/((-281)/562). -11 Evaluate (-32)/(-728)*(-448)/256. -1/13 (-477)/(-99) - 20/(-110) 5 (3 + (-165)/25)*(-10)/28*-7 -9 (200/(-460))/(6/(-345)) 25 Calculate (-5 - 39/(-6))/((-12)/88). -11 24/(-15) + (-14835)/(-8600) 1/8 Evaluate (-183)/(-244) + 306/(-24). -12 (9 - ((-2)/(-30))/(14/1715))*-15 -25/2 What is ((16 + -10)/72)/((-78)/(-728))? 7/9 What is the value of (-14)/(-24) + 24/(-54)*84/112? 1/4 What is 0 - ((-18)/(-21))/(17/119)? -6 Evaluate 122/(-20) + (-3393)/(-522). 2/5 Calculate (-1)/2 + (14100/520)/47. 1/13 -34 - 0 - (-84)/(-392)*-70 -19 (18 - 2958/170)*(-20)/3 -4 What is -7*((-16348)/(-1022) + (-3056)/191)? 2/73 20/8 + (37485/(-1598) - -21) 2/47 Calculate ((0/2)/(13 - 12))/(42 - 40). 0 What is the value of (-60)/
{ "pile_set_name": "DM Mathematics" }
lve 13 = m*w - 2 for w. 5 Let t be (-12)/2*(-2)/6. Let p = 1353 - 1352. Solve b - t = p for b. 3 Suppose -3*l = 2*l. Let c = 10 - 10. Suppose c*o + 4*o = 8. Solve l*n - n = o for n. -2 Let z = 346 - 335. Solve 5*g = -6*g - z for g. -1 Suppose k + 9 = -1. Let g = k + 10. Let d = -59 - -65. Solve -3*x = -g*x + d for x. -2 Let z be ((-4)/10)/(1/(-5)). Suppose -6*a - 110 = -5*f - a, -3*f + z*a = -64. Let c = f + -17. Solve -1 = -c*q + 2*q for q. 1 Suppose 3*y = -12, v - 4 - 5 = 2*y. Let z be 9*(2 - (-10)/(-6)). Suppose -5*s - z*i = -s - 1, 3*i + 3 = -3*s. Solve -5 = s*m - v for m. -1 Let a be (1/(-3))/(4/(-60)). Suppose a*m = 4*n + 20, -n - 3 = m + 2. Solve m = 4*t - t - 3 for t. 1 Let j = 15 + -21. Let u be (1/j)/((-2)/12). Solve o = -u - 1 for o. -2 Suppose -6*h + 72 = 42. Solve -h*l - 3 = -8*l for l. 1 Suppose 5*a - 4*a + 4*k = 30, 3*k + 139 = 4*a. Let m(o) = -o - 1. Let x be m(-4). Let r be 3/x*0 - 0. Solve -5*d - 9 + a = r for d. 5 Suppose -3*l = -2*l - 20. Let u = -244 + 247. Solve h = -u*h + l for h. 5 Let r = -1157 + 1169. Solve -13*c = -10*c - r for c. 4 Suppose 0 = -3*s + 15, -3*s + 19 = 4*o - 0*o. Let c(x) = -2*x**3 - 3*x**2 - x. Let p be c(-2). Solve m = -p + o for m. -5 Let q(c) = c**2 + 9*c + 3. Suppose -2*m - 14 = -0*i + i, -4*i - 20 = 4*m. Let j be q(m). Let o = -1 + 1. Solve o = -r + j*r - 10 for r. 5 Suppose -3*p + 139 = y, 3*p + 3*y - 5*y - 145 = 0. Solve p = 3*k + 44 for k. 1 Let j = 7 + -5. Let m be (-114*(-2)/(-10))/((-4)/10). Suppose -57 = -3*p - m. Solve p = j*h - 0*h + 2 for h. -1 Suppose -15 = -3*l, -2*o + o + 2*l + 6 = 0. Let p = 0 + 5. Let n be 1/(-3) + -4 + 39/9. Solve p*x - x + o = n for x. -4 Suppose -4*x - 5 - 15 = -3*w, -3*x - 10 = -w. Let u(b) = -b**3 + 3*b**2 + 5*b + 4. Let y be u(w). Solve 15 = 3*t - y*t for t. -3 Let w(h) = h**3 - 10*h**2 + 8*h + 9. Let b be w(9). Let x(j) = -j**2 + 5*j + 6. Suppose -1 + 7 = 2*c, -3 = -p + c. Let g be x(p). Solve b*i - 2*i = g for i. 0 Suppose -m - n = -20, 2*m + 44 = 4*m - 2*n. Let r = m - 19. Solve r*l = l - 2 for l. -2 Let i(m) = -m**3 - m + 15. Let l be i(0). Let o = 524 + -520. Solve o*k = k - l for k. -5 Let t be (-6 + 5)/(13/(-4) - -3). Solve -c - 2 = -t for c. 2 Let b(d) = d**2 + 9*d - 84. Let z be b(-15). Solve 0 = z*o - 11*o - 10 for o. -2 Let y = 2472 - 2467. Suppose 0*q + 5*q = 35. Let n(s) = -s**2 + 8*s - 1. Let g be n(q). Solve -y*c = -g*c + 4 for c. 4 Suppose 3*u - 144 = -u. Suppose -5*k + 6 = u. Let m be 6/(-8) + k/(-8). Solve m*r - 6 = 3*r for r. -2 Suppose 0 = 2*a - 5*d - 15, 3*a - 5*d - 14 = -6*d. Let h = 14 + -10. Solve -i + a*i = -h for i. -1 Let y(v) = v**3 + 13*v**2 + 12*v + 3. Let u be y(-12). Solve -u = 15*j - 3 for j. 0 Let b be -3*8/12 - (-686)/(-2). Let w be 1/6 - b/90. Solve -2*r + w = -2 for r. 3 Suppose 0 = 165*o - 159*o - 48. Solve 10*t = -o*t - 72 for t. -4 Let p(x) be the first derivative of x**4/4 + 8*x**3/3 + x**2/2 + 11*x + 10. Let i be p(-8). Suppose 7 = i*a - 14. Solve -2*j = -a - 1 for j. 4 Suppose 0 = -4*x + 81 - 17. Suppose 4*a + 0*a = -2*r + x, 3*a - 12 = -2*r. Suppose k - a = p - k, 4*k - 20 = -p. Solve p*m + 13 = -7 for m. -5 Let a = 466 - 464. Solve -8*m = a - 10 for m. 1 Let r = 2177 + -2142. Solve 15*v - 10 = r for v. 3 Let k = 1461 + -1438. Solve k*s + 10 = 28*s for s. 2 Suppose 0 = -0*m - m + 5. Suppose 2*s + 12 = -m*f - 48, 4*f - 4*s = -20. Let d be 16/(-12)*15/f. Solve d*v - 8 = -2*v for v. 2 Suppose -5*i - 62 + 507 = -5*o, -5*o = 0. Solve 0 = -2*y + i - 89 for y. 0 Let u be 5/1 - (-4)/(-20)*5. Solve 5*q - u*q = -5 for q. -5 Let f be (1 + 1 - 0)*9/(-9). Let t be ((-18)/(-18))/(f/(-8)). Solve 10 = t*z + 2 for z. 2 Let s = -24 - -29. Solve c + s = -0*c for c. -5 Let o = -16 - -24. Suppose 21 = 5*g + 6. Solve -z - o = g*z for z. -2 Let c(r) = -6*r. Let y(s) = -5*s. Let m(i) = i**3 - 10*i**2 - 10*i - 7. Let g be m(11). Let w(l) = g*y(l) - 3*c(l). Let h be w(-1). Solve 0*a = 2*a - h for a. 1 Let i(f) = f**2 + 3*f + 3. Let g be i(-3). Suppose 11 = -4*z + 47. Suppose -5*a = -4*k - 4, -2*a - 1 = -z. Solve -n - g*n = k for n. -1 Let p be 3/(-12) - (-428)/(-16). Let y = p - -16. Let d = -7 - y. Solve 0 = -0*m - d*m for m. 0 Let l(k) = k**3 + 3*k**2 - 16*k + 7. Let i be l(-6). Let z be (-3)/(-15) + (-9)/i. Solve 4*a - z*a - 8 = 0 for a. 4 Let w be (-54)/4*12/9. Let x be (0 + -6)*(1 + w/12). Solve x = -j - 1 for j. -4 Let j = -409 + 416. Solve -j = 3*z - 4 for z. -1 Suppose -5*w + 5*b - 8*b + 15 = 0, -2*w - 4*b = -20. Solve -z + w*z + 1 = 0 for z. 1 Suppose -5*c - p = -3*p - 71, -5*p - 28 = -c. Solve c*f = 17*f for f. 0 Suppose 3*s - 5*w = -0*w + 16, s + 4 = -3*w. Solve 1 = -s*l + 5 for l. 2 Suppose 2*m - 9*l = -5*l - 16, 0 = m - l + 3. Solve 19 - 9 = -m*y for y. -5 Let k = 77 + -69. Let z = k - 4. Solve 0 = z*c - c + 15 for c. -5 Let o(y) = -y**2 - 4*y + 2. Let q be o(-3). Let w(r) = 5*r + 35. Let z be w(-7). Solve z = -k + 3 - q for k. -2 Suppose 6*t - 52 - 62 = 0. Let f = -19 + t. Solve f*n = 2*n - 2 for n. 1 Suppose -d + 2*d = 2*r + 3, 5*r = -3*d + 9. Suppose -2*o = -o - d. Solve 3 = 2*n - o for n. 3 Let r(t) be the third derivative of -t**4/24 - 4*t**3 + 4*t**2. Let g be r(-22). Let i be 4 + -1 - (g + 1). Solve i*c + 10 = 2*c for c. -5 Suppose -5*i - 5*q = -2*q, 4*i + 3*q = -3. Solve 4*r + 15 = i for r. -3 Let v(a) = a**3 + 6*a**2 + 2*a - 1. Let b be v(-6). Let i = b - -13. Solve i = l - 3*l + 2 for l. 1 Let a = 513 - 467. Solve 36*f = a*f + 20 for f. -2 Suppose -3*q - 28 = -5*q. Let h = q - 14. Suppose h = -3*p + 7*p. Solve j + 2*j = p for j. 0 Suppose 4*x + 2*x = 24. Suppose -16 = -5*l - 4*t, -5*l + 0*l - 16 = -x*t. Solve -2*z - z - 9 = l for z. -3 Suppose 34 = 2*s + 4*z, s - 13 - 12 = -4*z. Solve s = 2*i + 19 for i. -5 Let p(x) = -x**3 - x**2 + x + 1. Let m be p(-2). Let k = 7 + m. Let r be 0 - 4 - -1 - 3/(-1). Solve r = 4*l + l + k for l. -2 Suppose -12*p + 11*p + 4 = 0. Suppose 11 = -p*d + 67. Let b = d - 6. Solve -w - 3*w = b for w. -2 Suppose -3*z + 0 = q - 4, 0 = -4*q + 2*z + 44. Let w = q - 1. Suppose -w + 7 = -f. Solve -f*m + 15 = m for m. 5 Suppose 0 = 2*g - x - 5, -5*x = -10*g + 7*g + 11. Solve 0 = 4*s - g + 6 for s. -1 Suppose 0 = 8*q - 7*q - 15. Suppose 0 = x - 5*o + q, 4*x + 0*o + 2*o - 28 = 0. Let y be ((-4)/10)/((-2)/10). Solve y*z = x*z for z. 0 Let p(l) = l + 2. Suppose -4*g + 0*g + 32 = 0. Let t = -3 + g. Let q be p(t). Solve 3 = -2*r + q for r. 2 Suppose 4*s - 9 = 5*g, 4*s + 3 = 2*s - 5*g. Solve 2 + s = -f for f. -3 Suppose 44*o = -13 + 145. Solve 0 = 7*v + o - 10 for v. 1 Let m be 1 - (1 - (-1 + -5)). Let r(w) = -2*w**3 - 14*w**2 - 13*w + 11. Let t be r(m). Solve -5*n - t = 8 for n. -5 Let m = -115 + 116. Let c be (3 + 0 + 2)/m. Solve -30 = c*i - 10 for i. -4 Suppose i = -2*n - 2*i + 86, 5*i - 10 = 0. Suppose x - n = -x. Solve -3*g - 2*g = x for g. -4 Let i be (1 + 0)/(38/(-8) + 5). Let p(q) = q**3 - 6*q**2 + 7*q - 5. Let t(z) = z**2 - z - 1. Let u be t(-2). Let o be p(u). Solve -i - 21 = o*w for w. -5 Let o(u) = u - 1. Let v be o(6). Let k(x) = x**2 + 24*x - 44. Let b be k(-26). Suppose 18 = -b*s + 98. Solve 0*c - s = v*c for c. -2 Suppose -2*k + 22 = 2*i, -3*i + 2*k - 3*k = -27. Let w be (-6)/(-1 + 0) - (-4623)/(-1541). Solve r = -w*r + i for r. 2 Suppose 53*t = 38*t + 375. Let g be (-64)/(-6) - (-4)/(-6). Solve g = -5*q + t for q. 3 Let i be (36/(-2))/(-3)*-4. Let o = i + 31. Solve -5*l = -o*l + 10 for l. 5 Let s(k) be the third derivative of k**5/15 + k**3/6 - k**2. Let c be s(-1). Suppose v - 22 = c*o - 2*o, 2*v - o - 24 = 0. Solve -g - g = -v for g. 5 Let z be (-22)/(-10) - (-8)/(-40). Suppose -2*q + z + 12 = 0. Solve 2 = -3*l - q for l. -3 Let x(g) = g**3 - 2*g**2 - 3*g + 2. Let v be x(3). Let w = -45 - -45. Let f = 21 - 17. Solve -f = -v*j - w for j. 2 Suppose -2*j - 2*b = 19 - 57, 5*b + 10 = 2*j. Solve -j*k + 11*k - 16 = 0 for k. -4 Let q = 406 - 381. Solve q*l = 21*l - 20 for l. -5 Let o be (-51)/(-9) - (-10)/(-15). Solve 5*k - 4*k = o for k. 5 Let f(p) = -2*p - 1. Let g be f(-2). Suppose -o + 22 - 8 = -g*c, -3*o - 3*c = -30. Solve o = -5*h - 9 for h. -4 Suppose 4*f = 12 + 4. Suppose -5*w - 5*x = -15, 7*w - 3*w - f = 4*x. Let l = -3 + 8. Solve -w*h - l = 5 for h. -5 Let a(f) = 17 - 2*f**3 - f - 8*f + f**3 - 26 + 11*f**2. Let b be a(10). Solve 4*y + 19 = -b for y. -5 Let b be (14/(-3))/1*90/(-70).
{ "pile_set_name": "DM Mathematics" }
s the smallest value? (a) -1 (b) -2/9 (c) 2/17 (d) 1/5 (e) -568 e What is the second biggest value in -4, -27343, -1, -5? -4 What is the fourth smallest value in 8, 2/15, 1, 2/9, 12/7? 12/7 What is the biggest value in -2/5, -176, -9/5? -2/5 Which is the sixth biggest value? (a) -2 (b) -2/5 (c) 0.1 (d) 0.5 (e) 2/7 (f) 68/7 a What is the biggest value in -83/3, -3493, 0.1? 0.1 Which is the fourth biggest value? (a) -2/5 (b) 2/49 (c) -0.07 (d) 0.4 (e) -2 a What is the biggest value in 1/4, 1, -51, 3, 1.9? 3 Which is the second smallest value? (a) 17 (b) 2/7 (c) 0.1 (d) 9/7 (e) -22 c What is the second biggest value in 3, 1/7680, -62? 1/7680 What is the smallest value in -4, -78, 2, -3? -78 What is the second smallest value in 1/14, 1/26, 4, -2/15, -0.3? -2/15 Which is the second biggest value? (a) -46 (b) -386 (c) -1/5 (d) 11 c Which is the third smallest value? (a) 81/5 (b) -5 (c) -1.1 (d) 0.1 (e) 2/5 (f) -2/9 f What is the third smallest value in 193, 5, 67? 193 Which is the third smallest value? (a) -4 (b) -5 (c) 1.8 (d) 3 (e) 4 (f) -2/9 f What is the fifth smallest value in -264, -11, 0, -4, 5? 5 Which is the third smallest value? (a) -6/35 (b) -13.8 (c) 106 c What is the smallest value in -243, 0.2, 30/7, 3, 2, 2/7? -243 What is the second biggest value in 3/7, -22408, -5? -5 Which is the second biggest value? (a) 1742 (b) -3 (c) -0.5 c What is the fifth smallest value in 0.3, 3, -7/13, 29, -0.1? 29 What is the third smallest value in -4/3, -13/3, -1, 2/3? -1 Which is the smallest value? (a) 2/9 (b) -0.4 (c) -293 c Which is the smallest value? (a) -28396 (b) 7 (c) -3 (d) -3/4 a What is the second smallest value in -3, 2, 1/2, 180, 0.36? 0.36 What is the third smallest value in 3.4001, -0.1, 11? 11 What is the fourth smallest value in 2/11, 9, 8/59, 0.1? 9 Which is the third smallest value? (a) 2/9 (b) 4 (c) -39.44269 b What is the fifth smallest value in -0.9, -0.2, -101, 3, -2/9? 3 What is the smallest value in 2, 12, 3, -7/5, -1.3? -7/5 What is the second smallest value in -1/2, -5, 3/3793, -11? -5 Which is the smallest value? (a) -5/2 (b) 5 (c) 0.05551 (d) -1 a What is the third smallest value in -24, -0.03, -79? -0.03 What is the third smallest value in -32, 3/5, 315? 315 Which is the second biggest value? (a) -0.9 (b) -0.5 (c) 2 (d) -4 (e) -1 (f) 2/3 f Which is the biggest value? (a) 8 (b) 3 (c) 467 c What is the fourth biggest value in -385/4, 5, 6/5, 2? -385/4 Which is the smallest value? (a) 1 (b) -2 (c) -0.1 (d) 5/4 (e) -115 (f) -1/6 e What is the smallest value in 3, 0.4, 1/3, 928, 1/16? 1/16 Which is the third biggest value? (a) -2/9 (b) 3/5 (c) -31 (d) 118 a Which is the fourth smallest value? (a) -1/4 (b) 6 (c) -0.4 (d) -619 (e) -0.1 (f) -2/11 f What is the smallest value in 1/7, 0, 2888, -0.3, -1/2? -1/2 Which is the biggest value? (a) 108 (b) -14 (c) 7 (d) -2/7 a What is the third biggest value in 8, 4.3, 3/8, -5? 3/8 What is the sixth biggest value in 4, -5, -0.11, -3, -0.08, 184/7? -5 What is the second smallest value in 3/2, 1302, -3? 3/2 What is the third biggest value in 49.6255, -4, 0.01? -4 Which is the biggest value? (a) -0.4 (b) -5 (c) -1/4 (d) -10 (e) 7/3 e What is the smallest value in 0.5, 1052, 4/5, -77? -77 Which is the third smallest value? (a) -16 (b) 4 (c) 1/2 (d) 0.013 (e) -4 (f) -0.1 f Which is the second biggest value? (a) 1/5 (b) 2 (c) -12/19 (d) -16 a What is the second smallest value in -16, 1, -4.4, 5/2, -2/7? -4.4 Which is the biggest value? (a) 5 (b) -0.016 (c) -2.624 a What is the third smallest value in -12/41, -1255, -1/2, -3? -1/2 Which is the third biggest value? (a) -155 (b) 1.1 (c) 2.5 a Which is the biggest value? (a) 22 (b) -116 (c) -0.3 a What is the fourth smallest value in -4/3, 20, 3, 4, 18/7, 0.4? 3 What is the third biggest value in -45/31, 2/29, 4, -0.1? -0.1 Which is the fifth biggest value? (a) -27 (b) 4/45 (c) 1/9 (d) -4 (e) 3 (f) 2 d What is the fourth smallest value in -19, -2/23, 3, -0.02? 3 Which is the biggest value? (a) 5/2 (b) -10.91 (c) 5 c What is the fourth biggest value in -0.4, -387.2, 9, -2/3? -387.2 What is the fourth smallest value in -42/23, -2/5, 2, 0.62? 2 What is the fourth biggest value in 3/100, -1, -3/7, 3, -1/3? -3/7 Which is the fourth biggest value? (a) 0 (b) 3/17 (c) -6 (d) 42 c What is the biggest value in -3/2, -37/2, -237/4? -3/2 Which is the third biggest value? (a) 8 (b) -296.774 (c) -1 b Which is the second biggest value? (a) 3 (b) -1/4 (c) -4362 (d) -3 b What is the fourth biggest value in -902, 3, 2/3, 1? -902 What is the third smallest value in -1, -357, 4, 0.06? 0.06 Which is the third smallest value? (a) 3/8 (b) -38 (c) 90/7 c Which is the fourth smallest value? (a) 0.3 (b) -1 (c) 11 (d) 37 (e) 9/19 (f) 0.1 e What is the fourth biggest value in -4, -2/11, -5/6, 1/32? -4 What is the second biggest value in -1, -0.14966, 0.02? -0.14966 Which is the third biggest value? (a) 0.2 (b) 4 (c) 2/9 (d) -9/5 a What is the second smallest value in -1, -3/5, 237652.5? -3/5 Which is the smallest value? (a) -0.1 (b) 1/3 (c) 1240 (d) 4 (e) -2 e Which is the fourth biggest value? (a) 3 (b) -2 (c) 0 (d) 13 (e) 994/47 (f) -1 c What is the third smallest value in -0.0105, 0, 61.5? 61.5 Which is the smallest value? (a) -2/3 (b) 4 (c) 0.0045 (d) 3/5 (e) 33 a What is the smallest value in 3, 2.98516, -4? -4 Which is the third biggest value? (a) -24 (b) -1/5 (c) 29 (d) 0 (e) 0.4 d What is the biggest value in 6, 0.1, 8, -1/85? 8 What is the third biggest value in 8/11, -0.2, 5, -14? -0.2 Which is the second smallest value? (a) -5 (b) 0.07233 (c) -20 a Which is the third biggest value? (a) 0.1 (b) 3.68 (c) -1 (d) 2559 a What is the fourth biggest value in -0.2, 38, -53, -14? -53 Which is the second biggest value? (a) 1.64 (b) 1/3 (c) -1/7 b What is the second smallest value in 0.4, 5, 2/15, 4, 0.008? 2/15 What is the second smallest value in 34, -154, -4? -4 Which is the second biggest value? (a) 2/3 (b) -5 (c) -145/48 c What is the fourth smallest value in 0, -4, -8, -2/9, 2/59? 0 Which is the fourth smallest value? (a) 13 (b) -0.2 (c) -3/2 (d) -1.1 (e) 26 a Which is the third smallest value? (a) -812 (b) -0.242 (c) 0.4 c Which is the fifth smallest value? (a) 0.3 (b) 2/9 (c) 23 (d) -4/5 (e) -288 (f) 4/9 f What is the second smallest value in -5/3, 6, 4, 0.1, -0.5, 62? -0.5 What is the third smallest value in 2.1, 0, -24? 2.1 What is the smallest value in -12, -0.2, -3, 82/161, 0.3, 4? -12 What is the smallest value in 278, -18, -0.2, -3/5, -0.1? -18 What is the smallest value in 0.0119, -0.95, -10? -10 What is the third biggest value in 6/25, 1/21, -4, -1, -7, -2? -1 What is the smallest value in 6.8, -0.36, -1.5? -1.5 Which is the second smallest value? (a) 88 (b) 3 (c) -70 (d) 3/8 d Which is the smallest value? (a) -5 (b) -2 (c) -0.1 (d) -1 (e) 0.07 a Which is the fourth biggest value? (a) 18 (b) 5 (c) 74 (d) 1 (e) -1/3 (f) 0.1 d Which is the fifth biggest value? (a) 1/5 (b) -1/6 (c) -0.5 (d) -104 (e) -0.3 d Which is the second smallest value? (a) 0.5171 (b) -0.1 (c) -97 b What is the biggest value in 276, 6, 1, 1.99? 276 Which is the sixth biggest value? (a) -3/8 (b) 2 (c) -3 (d) 0 (e) 0.09 (f) -42.7 f Which is the fourth biggest value? (a) -11/4721 (b) -0.5 (c) 3 (d) 2/27 b Which is the fourth biggest value? (a) -15 (b) 0 (c) 4 (d) 38 (e) 5/2 b What is the fourth smallest value in -2/3, -0.629, 0.2, 4? 4 Which is the biggest value? (a) -15/2 (b) 0.8 (c) 1681 c What is the biggest value in -5, 2.9, 5, 0.7? 5 Which is the fourth smallest value? (a) -5 (b) -4 (c) 6/89 (d) -46 c What is the biggest value in -39, -4/11, 11, 2/9? 11 Which is the second smallest value? (a) -8 (b) -3/5 (c) -3.41 c Which is the second biggest value? (a) 8/5 (b) -46 (c) 5 a What is the fourth biggest value in 0, 0.04, -8/11, -0.075? -8/11 What is the smallest value in 0.4, -50, 0.1567, 6/7, -0.3? -50 Which is the fourth smallest value? (a) -7/4 (b) 4 (c) 0.19848 (d) 1 b Which is the third smallest value? (a) -0.1 (b) -0.04 (c) -0.5 (d) -3/5
{ "pile_set_name": "DM Mathematics" }
ming n is positive. n**(-2720) Simplify y**(1/11)/y*y*y**(-6/13)*y assuming y is positive. y**(90/143) Simplify (v/(v*v**(-2)*v*v*v)*v)**(14/5)*v**0*v*v**(-8) assuming v is positive. v**(-7) Simplify y/y**(-10)*y**(-1/26) assuming y is positive. y**(285/26) Simplify (v**(-3)*v**(-13))**(-45) assuming v is positive. v**720 Simplify (w**(-8)/(w*w/(w/(w/(w*(w**5*w)/w*w)*w))))/(w*(w/w**(-1/2))/w*w)**(-1/19) assuming w is positive. w**(-147/38) Simplify (x**(1/8)/x)/(x/(((x*x**(-1/11))/x)/x))*(x*x*x*x*((x*(x**(-1/17)*x)/x*x)/x)/x*x)/x**10 assuming x is positive. x**(-12005/1496) Simplify ((q*q*q**(2/13))/q)/(q*(q/(q*q**(-2/9)))/q)*q**(-1/6)/q**3 assuming q is positive. q**(-523/234) Simplify (n**4)**(1/46) assuming n is positive. n**(2/23) Simplify ((q*q**(-4)/q)/(q/(q*q*q**(-6))))/(q*q**(-1/4)*q**5) assuming q is positive. q**(-59/4) Simplify ((y*y*y**(1/3))**(-13/8))**(-12) assuming y is positive. y**(91/2) Simplify (q**(-7)/q)**(-43) assuming q is positive. q**344 Simplify v/(v*(v**(-1)*v)/v)*v**1*v*(v/(v/(((v**0/v*v)/v)/v)))**(-9/2) assuming v is positive. v**12 Simplify m**39*m**(-24) assuming m is positive. m**15 Simplify (b**(-20)/b)/((b*b**(-1)/b*b*b)/b) assuming b is positive. b**(-21) Simplify j/j**(-1)*j*j**(-1)/j*(j*(j*j**0/j)/j)/(j**(-1/4)/j) assuming j is positive. j**(9/4) Simplify (v*v/v**(-4/5))**(3/41) assuming v is positive. v**(42/205) Simplify h**(-5)*h*(h*h/h**(-5)*h)/h*(h/(h**(-2/5)/h*h)*h)**(-17) assuming h is positive. h**(-189/5) Simplify (a**(-2/9))**31 assuming a is positive. a**(-62/9) Simplify (y**(-1/18)*y)/(y/y**(-23)) assuming y is positive. y**(-415/18) Simplify q**(-2/19)/(q*q/(q/(q/q**(6/11)))*q)*q**3/q*q/(q/(q/((q*q*q*q**(-1)*q*q)/q*q))) assuming q is positive. q**(-744/209) Simplify ((g**(-2)*g)/g*g*(g/(g*g*g/(g*g/(g/g**(-2/9))*g)*g))/g)**15 assuming g is positive. g**(-145/3) Simplify (g**(-1)/g*g/(g**(-1/4)*g*g))/((g*g**1)/g)**(4/29) assuming g is positive. g**(-335/116) Simplify (l*l*l**0/l*l*l*l)**(-3/5)/(l**(2/13)*l*l**(-2/9)*l*l) assuming l is positive. l**(-3119/585) Simplify (t**39)**46 assuming t is positive. t**1794 Simplify (x**(2/15))**18 assuming x is positive. x**(12/5) Simplify (s*s**(2/25))/s**2 assuming s is positive. s**(-23/25) Simplify (i*i**2*i**(-3/5)/i)**(-1/3) assuming i is positive. i**(-7/15) Simplify (k**(1/7)/(k*k*k**0/k*k*k))/(k*k**(-1/2)*k/(k/k**0)) assuming k is positive. k**(-47/14) Simplify ((f**0/f)/f*f**8)/(f/(f*f**(1/2)))**43 assuming f is positive. f**(55/2) Simplify k**(-1/33)*k**4/k assuming k is positive. k**(98/33) Simplify (m**(-24)*m)/m**7 assuming m is positive. m**(-30) Simplify q/(q*q*(q**(-2)*q)/q*q)*q*q/q**(-2)*q**(6/7)*q/q**9 assuming q is positive. q**(-22/7) Simplify (r**22/(r*r/r**(4/9)))**(-15/7) assuming r is positive. r**(-920/21) Simplify (c**(3/2)/c**(-3/10))**(-22) assuming c is positive. c**(-198/5) Simplify (h/(h/(h/(h*h**(-3/5))))*h**(1/14))/(((h/(h*h/h**(1/3))*h)/h)/h)**(-11/6) assuming h is positive. h**(-751/315) Simplify (i**(-1/12)/i)/(i/((i**(-8/9)/i)/i)) assuming i is positive. i**(-179/36) Simplify h/((h**(-2/23)/h)/h)*h**(2/13) assuming h is positive. h**(969/299) Simplify (((u/(u/(u/(u/u**(3/4)))))/u)**(-22))**(-1/15) assuming u is positive. u**(-11/30) Simplify o*o**(-2/21)*o/o**(5/8) assuming o is positive. o**(215/168) Simplify (x**(-1)/x*(x**(-7)*x)/x)**40 assuming x is positive. x**(-360) Simplify (x/(x/x**5*x))**(-1/2) assuming x is positive. x**(-2) Simplify ((((h/((h*(h/(h/(h*h/(h/h**(1/9))*h)))/h)/h))/h)/h)/h**(-4/3))/(h**(2/13)/(h/(h/(h*h*h**9/h)*h))) assuming h is positive. h**(944/117) Simplify (o**(-12))**(-8/11) assuming o is positive. o**(96/11) Simplify (u*u**(-7)/u)**(7/4) assuming u is positive. u**(-49/4) Simplify ((a*(a/a**(1/2))/a)/a)**37/(a*a**(1/3))**(-35) assuming a is positive. a**(169/6) Simplify (c*c/((c*c**(2/3))/c))**(-20/11) assuming c is positive. c**(-80/33) Simplify ((((d*d/(d**(-2)/d))/d)/d*d)/d)**(-25) assuming d is positive. d**(-75) Simplify (((b/(b**(-2)/b*b))/b)/b)**0 assuming b is positive. 1 Simplify d**(13/6)*d**(-2/5)*d assuming d is positive. d**(83/30) Simplify w*w*w**(-3/4)*w*w/(w/w**(3/7)*w)*(w*w/(w*w**(-1)))**(-3/16) assuming w is positive. w**(73/56) Simplify ((((i**(-1)*i)/i*i)/i)/i)**(-4/7) assuming i is positive. i**(8/7) Simplify x**(1/9)/(x/(x/(x/(x**(8/5)/x*x)))*x) assuming x is positive. x**(-13/45) Simplify ((q*q/(q/(q*q**22*q)))/q)/q*q*q/(q*q*q**10*q) assuming q is positive. q**12 Simplify (s*s/(s*(s**(-1/7)/s)/s)*s)/s**4*(s*((s**(-3)*s)/s)/s)/((s/(s*s*(s*s**(-2))/s))/s) assuming s is positive. s**(-20/7) Simplify ((s*s/(s/(s/(s**(-1/2)/s*s)))*s*s)/s)/(s*s*s**(-1))*s*s*s**4*s*s*s**2*s*s*s*s assuming s is positive. s**(33/2) Simplify ((d*d/(d/(((d/(d/((((d*d**(1/2)*d*d)/d)/d)/d)*d*d)*d)/d)/d)))/d)**23/((d/(d*d**1*d)*d)/d**(1/5)) assuming d is positive. d**(-563/10) Simplify (d/(d**(4/9)*d))/(d*d*d**(-2/5)) assuming d is positive. d**(-92/45) Simplify x/x**(-2/11)*x/((x*x**24*x)/x) assuming x is positive. x**(-251/11) Simplify h/((h*h**(-7/3))/h)*h**5 assuming h is positive. h**(25/3) Simplify (s*s**3/s)**(-15/8)/(s**(-4)*s/((s*(s*s*((s/(s/s**(-1/6)))/s)/s*s)/s)/s)) assuming s is positive. s**(-67/24) Simplify (h**(-1/3))**(2/61)*h**(8/5)*h/((h*h/(h/(h/(h*h**(-9))))*h)/h*h) assuming h is positive. h**(-7696/915) Simplify (y*y**(-8))**(-5/2) assuming y is positive. y**(35/2) Simplify ((l/l**5)/(l/(l/(l**(1/2)/l*l*l))*l))/((l*l**(5/2)*l)/l*l*l**2) assuming l is positive. l**(-13) Simplify (c*((c**(11/2)*c)/c)/c)**4 assuming c is positive. c**22 Simplify (a*a**(2/3))/(a**(-2)/a*a)*((a/((a/a**0)/a*a*a))/a)**13 assuming a is positive. a**(-67/3) Simplify ((m/(m*m*m**(-4)))/((m**(-1/3)*m)/m*m))**(-9/5) assuming m is positive. m**(-21/5) Simplify (u/(u/(u/(u/u**(-2/3)*u)))*u**(2/13))**37 assuming u is positive. u**(-2183/39) Simplify (o/(o/o**35))**(28/5) assuming o is positive. o**196 Simplify (b/(b**(1/3)/b))/b**42 assuming b is positive. b**(-121/3) Simplify (b*(b*b*b/(b/b**(-2)))/b)**(2/89)*(b**(-1))**(-12) assuming b is positive. b**12 Simplify (o/o**5*(o*o*o/o**4*o*o)/o)/(o*o/((o/(o/(o**1/o*o)))/o)*o**(-2)) assuming o is positive. o**(-4) Simplify ((p*p/(((p*p**(2/51))/p*p)/p))/p)/p**32 assuming p is positive. p**(-1583/51) Simplify (w/w**(-38))/((w/((w/(w*w*w*w*w**(2/13)*w*w))/w*w))/w*w) assuming w is positive. w**(427/13) Simplify (v**(1/3)*v)**(10/9) assuming v is positive. v**(40/27) Simplify ((m*m**(1/10)*m*m)/m*m**(-2/11))**(-3) assuming m is positive. m**(-633/110) Simplify (v*(((v/(v*v**(-11/5)))/v)/v)/v*v)/(v/(v/(v*v/v**(2/45)*v)*v)*v) assuming v is positive. v**(-79/45) Simplify (c**8/c**(11/4))**(-48) assuming c is positive. c**(-252) Simplify (y**(2/5))**(-18) assuming y is positive. y**(-36/5) Simplify (g**(-15)*g*g)**(-40) assuming g is positive. g**520 Simplify (v/(v*(v/v**26*v)/v)*v)/(v/(v/(v*v**(-2/17)))) assuming v is positive. v**(427/17) Simplify b*b**(-1/3)/b*b**26 assuming b is positive. b**(77/3) Simplify (k**(2/27)*k)**7 assuming k is positive. k**(203/27) Simplify (o**(-8))**(-27) assuming o is positive. o**216 Simplify (q*q*q/q**(-4/15))**(-6/7) assuming q is positive. q**(-14/5) Simplify ((i*i/(i*i/i**(1/5)))/(i/(i/i**(1/8))))**(-45) assuming i is positive. i**(-27/8) Simplify (g*g*g/(g/g**(-10/3)))/g**(10/3) assuming g is positive. g**(-14/3) Simplify (c/(c**(-2/3)*c))**(3/2)/(c/(c/(c**(-1)/c*c)*c))**(7/11) assuming c is positive. c**(25/11) Simplify l**(-21)/(l**(-2)/l) assuming l is positive. l**(-18) Simplify ((m/(m/(m**(-2)*m*m)))/m**(-1/8))**(-2/15) assuming m is positive. m**(-1/60) Simplify ((m*m**(-1))/m)**(-2)/(m*(m*(m*m*m**(-1/3))/m)/m)**(-2/75) assuming m is positive. m**(92/45) Simplify (b*b**(-8/11)*b)/b*b*b*b**12*b assuming b is positive. b**(168/11) Simplify (t*t**(-10/7))/(t**(2/13)/t) assuming t is positive. t**(38/91) Simplify (p**17)**(-43) assuming p is positive. p**(-731) Simplify (y*y**(1/6))**0 assuming y is positive. 1 Simplify (i**(-6/7))**(-11) assuming i is positive. i**(66/7) Simplify ((l*l**1/l*l*l)/l)**(-19)/((l*l/l**2*l)/l**(3/2)) assuming l is positive. l**(-75/2) Simplify (l**(4/15)*l)**(-7) assuming l is positive. l**(-133/15) Simplify ((a/(a/a**(-3)*a)*a)/a)**(-36) assuming a is positive. a**144 Simplify (w**11*w**(2/19)
{ "pile_set_name": "DM Mathematics" }
12 a factor of c? True Let f be 2/((8/4)/4). Suppose -165 = -q - f*q. Is 27 a factor of q? False Let m = 12 - 12. Let i be 0 - 24/(-2 - m). Let n = 42 - i. Does 14 divide n? False Let u be (-16)/6*(2 + -5 - 3). Does 17 divide (-3080)/u*(-4)/5? False Let v(m) = 5*m**2 + 5. Let w be 5*(36/25)/6*5. Is 9 a factor of v(w)? False Suppose 164 + 4337 = 7*w. Is w a multiple of 43? False Does 35 divide 533 - ((-45)/9 + 5)? False Let n be (-5)/(4/32*2). Let s = n + 10. Let a = s + 33. Is a a multiple of 13? False Suppose -11 + 71 = r. Is 8 a factor of (7 - 10) + -1 + r? True Suppose 492 = -4*v - 0*v. Let g = v - -213. Does 15 divide g? True Suppose 0 = -4*l + 3*c + 99, 0 = 2*c - 0*c - 6. Let b = 47 - l. Suppose -q + 19 = -b. Does 13 divide q? True Let j(h) = 137*h - 5. Let o be j(-2). Is (52/(-3))/(62/o) a multiple of 13? True Let m be ((-2)/3)/(1/(-3)). Let h(d) = -3*d**3 - 84*d**2 - d - 24. Let v be h(-28). Does 8 divide v*((4 - 0) + m)? True Let k(p) = p**2 - 5*p - 37. Let w be k(9). Does 9 divide 79 + (-4 + 3 - (-4 - w))? True Suppose 5*d = 8*d - 105. Suppose -3*c + 4*o = -216, -2*o + 37 + d = c. Is c a multiple of 18? True Let s be (-10 - 492)*(-3 - 0)/6. Let q = s - -32. Is 38 a factor of q? False Let j(d) = 4*d - 14. Let r be j(4). Suppose 4 = -r*t, 8*g - 3*g + 2*t - 1271 = 0. Is 30 a factor of g? False Is 2 a factor of 6/30 + (-34)/(-5) + 3? True Let a(n) = -4*n**2 + 10 + 9 + 5*n**2 - 9*n - 8. Let z be a(13). Suppose 0 = -5*i - l + z, -3*l = -4*i + 2*l + 33. Is i a multiple of 12? True Let t(o) = -o**3 + 6*o**2 + 7*o + 6. Let d be t(7). Suppose -f - r = -d*r - 42, 3*f - 2*r = 74. Suppose z - f = -0. Is z a multiple of 11? True Let x be 284/3 + (66/(-18) - -4). Suppose -x = -4*d + 17. Is d a multiple of 16? False Let u = 9 - 8. Let j(p) = p**3 - p**2 + p - 1. Let k(y) = -6*y**3 + y**2 + 2*y + 11. Let g(f) = u*k(f) + 5*j(f). Is 12 a factor of g(-6)? True Let v(j) = 5*j**3 + 15*j**2 - 5*j + 3. Let o(q) = -11*q**3 - 31*q**2 + 11*q - 6. Let u(z) = 4*o(z) + 9*v(z). Let a be u(-11). Let t = a + -6. Does 4 divide t? True Let k(n) = -n - 21. Let j(t) = -1. Let x(a) = -3*j(a) - k(a). Is 8 a factor of x(0)? True Let m(b) be the first derivative of b**2 - 1 + 2*b - 1/4*b**4 + 4/3*b**3. Does 5 divide m(4)? True Let u be ((-128)/(-12))/4*3. Suppose -z + u = -0. Suppose z*d - 48 = 5*d. Is d a multiple of 8? True Let j(b) be the third derivative of b**6/120 + 11*b**5/60 - 5*b**4/8 - 11*b**3/3 - 16*b**2. Does 7 divide j(-12)? True Let l(u) = -u**2 - 10*u + 2. Let j be l(-10). Let r(f) = -2*f**2 - 3*f - 1. Let x be r(-6). Does 20 divide 4/j*x/(-2)? False Let h(q) = 18*q**2 + 9*q - 9. Does 15 divide h(4)? True Let a be (3 + -1)/(30/(-675)). Let u = 39 - a. Does 14 divide u? True Let j(u) = -137*u + 0*u**2 + 139*u - 2 - u**2 + 13*u**2. Is 6 a factor of j(-2)? True Let l = 77 + -196. Let q = -87 - l. Is q a multiple of 4? True Let h be (1 - (1 + 1))*-19. Suppose -2*j - 2*w = -6*w + 20, j - 5*w = -19. Is 1 + j + 2*h a multiple of 10? False Suppose 15*r - 56034 - 17886 = 0. Does 11 divide r? True Let c be (0/(-1) + -1)*5. Is (-1)/c*0 + 32 a multiple of 4? True Let y(n) = -n**2 + n + 66. Let u be y(-9). Let v be (-26)/7 - (-2)/(-7). Is u/32 - 55/v a multiple of 2? False Let y(q) = -52*q - 10. Let x(n) = 3*n + 12. Let f be x(-5). Is y(f) a multiple of 18? False Let c(d) = -23*d - 23. Let b(y) = 333*y + 333. Let v(z) = -5*b(z) - 72*c(z). Let i be v(-4). Suppose q + 10 = 5*n - 0*n, -4*n + i = 3*q. Does 2 divide q? False Suppose 9*l - 5*l = -368. Let x = l + 192. Does 14 divide x? False Suppose 4*w + 1172 = 4*g, -22 = g + 3*w - 303. Is g a multiple of 19? False Let g = -77 + 207. Suppose 0 = 2*p - 110 - g. Is p a multiple of 12? True Suppose 3*l + 10 - 1 = -2*h, 0 = -3*h + 3*l + 9. Suppose h = 12*w - 1247 - 553. Does 15 divide w? True Let g(y) = 9*y**3 - 3*y + 3. Does 9 divide g(1)? True Let z(s) = 45*s + 13. Let i(u) = -22*u - 7. Let t(r) = 7*i(r) + 3*z(r). Is t(-4) a multiple of 29? False Suppose -2*c + 263 = -8*d + 7*d, -2*c + 268 = -2*d. Is 43 a factor of c? True Suppose -g + 52 = 2*b + 2*g, -g = 3*b - 64. Let k = b - 18. Suppose 3 = z - k*d - 0*d, -d - 19 = -4*z. Does 4 divide z? False Let g = -421 - -592. Is 28 a factor of g? False Let g(y) = -11*y - 13 - 11 + 4 - 16*y. Does 7 divide g(-4)? False Let n be 1/(-2)*-1*(-4 - -4). Suppose 449 = 5*o - n*a + a, 0 = o + 3*a - 87. Is o a multiple of 12? False Let x be (-2 + 7)/5 - 23. Let w = 34 + x. Is 4 a factor of w? True Let o = -16 + 27. Suppose 0 = -j - 6 + o. Suppose l + p - 2*p = 8, 3*l = -j*p. Is 5 a factor of l? True Suppose -o + 14 = -3*o. Let t(u) = 3*u**2 - 9*u - 2. Let q be t(o). Suppose -5*h = -4*x - q, -5*x - 112 = -2*h - 22. Is 11 a factor of h? False Suppose -8 = 5*n + 7. Let q be 2/(n - (-461)/153). Is 20 a factor of (-1 + q)/(2 - 0)? False Let w = -171 - -399. Suppose m + m + 2*j = w, -5*j - 350 = -3*m. Is m a multiple of 31? False Suppose -4*w = -5 - 7. Suppose 120 = 5*o - w*o. Let j = o - 40. Is j a multiple of 10? True Suppose q = -32 - 68. Let s = q - -208. Is 18 a factor of s? True Let t be ((-10)/(-6))/((-17)/204). Is (t/2)/(1/(-4)) a multiple of 20? True Is -3*(-3 + 102/(-9)) a multiple of 43? True Let o(r) = -3*r + 357. Does 5 divide o(49)? True Suppose -12*v - 4*z = -17*v + 662, -v + 2*z + 136 = 0. Is v a multiple of 9? False Let t(x) = 36*x - 51. Let d be t(-16). Does 13 divide (d/(-6))/1 + 6/(-12)? True Let m(q) = q**2 - 4*q - 1. Let f be m(5). Is (f - (-100)/(-5))*-1 a multiple of 3? False Suppose 2*c - 8 = 4*t + 2, -5 = -c. Suppose t = 3*l + 2*u + 16, 2*u - 10 = 4*l + 2. Is -120*((-36)/8 - l) a multiple of 20? True Suppose -120 = 3*r - 5*h, 3*h + 59 - 19 = -r. Let f(t) = -4*t**3 + 4*t**2 - 4*t + 3. Let c be f(2). Let i = c - r. Is i a multiple of 19? True Let x(i) = 37*i**2 - 10*i - 28. Is 13 a factor of x(-5)? False Suppose -82 + 34 = a. Let o = a + 92. Suppose 0 = -2*z + 4*z - o. Is 4 a factor of z? False Suppose 2*p = -0*p + 120. Is (-8)/p + (-1444)/(-30) a multiple of 12? True Let f be 1/((-3)/(-54)*-3). Let d be ((-8)/f)/(1/(-36)). Is (d/18)/(2/(-12)) a multiple of 5? False Suppose -5*o + 90 = -725. Does 16 divide o? False Let f be 12/72 - (-53)/6. Let r = 22 - f. Is 5 a factor of r? False Suppose -25*k = -19*k - 1134. Is 32 a factor of k? False Suppose o - 3*i = 0, -4*o + 1 = -3*o - 2*i. Suppose -12 = -2*w - w - u, -4*w + 3*u + o = 0. Suppose w*q - 27 = 111. Does 14 divide q? False Let f(z) = 3*z**2 + z + 11. Let h be f(7). Suppose -5*s - 15 = -h. Let a = -16 + s. Does 7 divide a? True Let r be (-1 - 0)*-5 - 923. Let j = -618 - r. Is j a multiple of 20? True Let j(d) be the third derivative of -7*d**4 + d**3/2 + 11*d**2. Let t be j(-2). Suppose -5*k + t = 2*r, 2*r = 6*r + 12. Is k a multiple of 20? False Let p be 45/55 - 2/(-11). Let s be (-2)/(((-1)/(-2))/p). Is 5 a factor of 67/3 - s/6? False Let y be ((-16)/(-6))/((-2)/(-63)). Let r be (58/(-3))/(7/21). Let f = y + r. Is 16 a factor of f? False Suppose 0 = -2*f - 0*p - 5*p + 122, 2*f = 5*p + 142. Suppose t - f = 18. Is t a multiple of 14? True Let f(a) = -a**3 + 6*a**2 + 8*a - 2. Let m be f(7). Suppose -4*p - 3*i = -123, 125 = 5*p - p + m*i. Is 21 a factor of p? False Suppose 0 = 5*n + 10 - 35. Suppose 3*z - 709 = -n*f, 2*f + 5*z - 133 = f. Is f a multiple of 16? False Suppose 72*v + 972 = 75*v. Is 12 a factor of v? True Suppose 0 = 4*h - 7*h + 6. Let t(u) = 23*u**2 + 2*u + 2. Does 13 divide t(h)? False Let y(j) be the first derivative of -29*j**2/2 + 7*j - 12. Is 20 a factor of y(-2)? False Suppose 0 = 3*r - 2*y + 38, 0*r + 41 = -3*r + 5*y. Is 20 a factor of 197/6 - r/72? False Suppose 5*d + 38 = 3*d. Let c = -17 - d. Suppose 3*v + f - 64 = 0, c*f - 6*f - 8 = 0. Is 11 a factor of v? True Suppose -40 = 2*n - 290. Suppose 4*r = 17 - n. Let x = r + 67. Does 6 divide x? False Suppose -20*c = -16506 - 35774. Does 32 divide c? False Let f(d) = d**3 + 14*d**2 - 17*d - 22. Let n be f(-13). Is n/12*(-12)/(-2) a multiple of 23? True Let q(k) = 2*k**2 + 10*k + 3. Let w(i) = -i**2 - 9*i - 3. Let u(y) = 2*q(y) + 3*w(y). Does 7 divide u(10)? False Let c(d) be the second derivative of -d**5/20 - d**4/4 + d**3/3 - d**2/2 - d. Suppose 0 = 3*k - 2*v + 20, 0 = -2*k - 3*k + 3*v - 32. Is 3 a factor of c(k)? False Suppose 2*b - 18 = 5*n, -3*n + 0*n -
{ "pile_set_name": "DM Mathematics" }
880477.5 millennia? 10565730000 What is seventy-seven thirds of a century in months? 30800 How many milliseconds are there in five eighths of a minute? 37500 Convert 0.22441 millennia to decades. 22.441 How many centimeters are there in 91.06262 millimeters? 9.106262 How many nanometers are there in 3.333168 centimeters? 33331680 Convert 28310.9ml to litres. 28.3109 How many millilitres are there in one fifth of a litre? 200 What is seventy-six fifths of a decade in months? 1824 How many milligrams are there in 0.5295152 micrograms? 0.0005295152 Convert 3382.132l to millilitres. 3382132 How many milliseconds are there in 7/8 of a second? 875 How many minutes are there in seven eighteenths of a day? 560 How many millilitres are there in 71/5 of a litre? 14200 What is 0.302095 minutes in milliseconds? 18125.7 Convert 0.735551 centuries to millennia. 0.0735551 How many tonnes are there in 4219.953 milligrams? 0.000004219953 Convert 78763.26 millennia to months. 945159120 How many minutes are there in one fifth of a week? 2016 How many milligrams are there in 514212.7ng? 0.5142127 How many years are there in 72/5 of a millennium? 14400 What is thirteen eighths of a kilometer in meters? 1625 Convert 8666.447 centimeters to nanometers. 86664470000 What is 65.3207 grams in micrograms? 65320700 What is 0.638678km in centimeters? 63867.8 What is 42109.59mg in nanograms? 42109590000 How many months are there in 7/6 of a millennium? 14000 How many months are there in 35.17446 centuries? 42209.352 What is fifty-five halves of a litre in millilitres? 27500 How many meters are there in 872097.6 centimeters? 8720.976 How many micrometers are there in one tenth of a centimeter? 1000 Convert 80960.35 tonnes to nanograms. 80960350000000000000 Convert 8589.139 nanometers to kilometers. 0.000000008589139 What is 13/4 of a hour in seconds? 11700 What is one quarter of a gram in milligrams? 250 What is 39658.02 nanometers in micrometers? 39.65802 How many years are there in 5/4 of a century? 125 Convert 7.43828 nanometers to meters. 0.00000000743828 How many years are there in 27/2 of a millennium? 13500 How many grams are there in twenty-seven halves of a kilogram? 13500 How many years are there in 29/2 of a decade? 145 Convert 3.931078ml to litres. 0.003931078 What is fourty-five quarters of a millennium in decades? 1125 How many millilitres are there in 1/5 of a litre? 200 What is 42/5 of a kilometer in meters? 8400 How many kilometers are there in 1.94494nm? 0.00000000000194494 How many millilitres are there in fourty-four fifths of a litre? 8800 How many micrometers are there in 5/8 of a millimeter? 625 What is 618.0969 weeks in days? 4326.6783 How many months are there in 3/8 of a century? 450 Convert 1.664624 kilometers to millimeters. 1664624 What is 770302.1 litres in millilitres? 770302100 What is 428.177 millilitres in litres? 0.428177 What is 0.670566 centuries in millennia? 0.0670566 Convert 589.249 millimeters to nanometers. 589249000 What is 3/128 of a week in seconds? 14175 What is 94.77239 micrograms in milligrams? 0.09477239 What is 71/5 of a meter in millimeters? 14200 How many months are there in 3/5 of a millennium? 7200 What is 2/15 of a day in minutes? 192 What is 1/20 of a litre in millilitres? 50 What is 23/6 of a decade in months? 460 What is 1/6 of a day in hours? 4 How many micrograms are there in eleven halves of a milligram? 5500 Convert 697014.8ng to grams. 0.0006970148 Convert 79.54991 weeks to nanoseconds. 48111785568000000 How many grams are there in 1/20 of a kilogram? 50 Convert 2.657367mg to nanograms. 2657367 Convert 0.3804459l to millilitres. 380.4459 Convert 20515.82l to millilitres. 20515820 What is nineteen quarters of a day in hours? 114 What is 2.830842 months in decades? 0.02359035 What is 1.391158 kilometers in nanometers? 1391158000000 What is 3/50 of a microgram in nanograms? 60 What is 0.6463837ug in tonnes? 0.0000000000006463837 What is five quarters of a milligram in micrograms? 1250 What is 5.279569 centuries in years? 527.9569 How many minutes are there in 3/5 of a day? 864 What is twenty-one quarters of a millennium in decades? 525 What is 7/4 of a meter in millimeters? 1750 Convert 0.7800119cm to millimeters. 7.800119 What is twenty-five halves of a meter in centimeters? 1250 What is 93869.9 millilitres in litres? 93.8699 What is one fifteenth of a day in seconds? 5760 What is five quarters of a kilometer in meters? 1250 How many months are there in 4.432129 centuries? 5318.5548 Convert 9507.9 millilitres to litres. 9.5079 How many months are there in 3/16 of a millennium? 2250 How many years are there in 8/25 of a millennium? 320 What is 1.662103ug in grams? 0.000001662103 What is 25/4 of a decade in months? 750 What is sixty-nine halves of a litre in millilitres? 34500 What is 0.9836961kg in milligrams? 983696.1 Convert 708.0831 days to microseconds. 61178379840000 What is twenty-seven halves of a kilogram in grams? 13500 Convert 845.1584 kilograms to nanograms. 845158400000000 What is 1/4 of a decade in months? 30 How many millilitres are there in 1/10 of a litre? 100 What is 17/6 of a week in minutes? 28560 What is 917.1826 decades in years? 9171.826 What is one quarter of a kilometer in meters? 250 How many kilometers are there in 721029.4um? 0.0007210294 What is 29/2 of a day in hours? 348 What is 826.8678 days in milliseconds? 71441377920 Convert 0.1434376 minutes to milliseconds. 8606.256 What is 526.9671 milligrams in tonnes? 0.0000005269671 How many hours are there in 779907.7 weeks? 131024493.6 What is 72/5 of a litre in millilitres? 14400 How many nanometers are there in 32/5 of a micrometer? 6400 What is twenty-five halves of a gram in milligrams? 12500 Convert 7.7571 days to milliseconds. 670213440 How many months are there in 3/25 of a millennium? 1440 How many litres are there in 9.908997ml? 0.009908997 Convert 637.4238 decades to months. 76490.856 How many minutes are there in 67/3 of a hour? 1340 What is 29/2 of a milligram in micrograms? 14500 What is one quarter of a milligram in micrograms? 250 What is 74/5 of a litre in millilitres? 14800 How many years are there in 3/5 of a century? 60 Convert 8368.676ml to litres. 8.368676 What is 1/10 of a minute in milliseconds? 6000 How many micrometers are there in 6/25 of a centimeter? 2400 What is 0.394168 centuries in decades? 3.94168 How many micrograms are there in 7609.05t? 7609050000000000 What is 32/5 of a meter in centimeters? 640 What is 642.2239g in kilograms? 0.6422239 What is 3/25 of a litre in millilitres? 120 How many minutes are there in seventeen halves of a week? 85680 Convert 2.58435 months to years. 0.2153625 Convert 6383.8509 days to weeks. 911.9787 Convert 18271.53 months to centuries. 15.226275 What is eight fifteenths of a week in minutes? 5376 Convert 89.82295 decades to years. 898.2295 Convert 73.21418nm to centimeters. 0.000007321418 How many hours are there in 27/4 of a week? 1134 How many seconds are there in 4.90048 weeks? 2963810.304 What is two sevenths of a week in minutes? 2880 What is 45.73659 years in decades? 4.573659 How many months are there in 1/30 of a millennium? 400 How many millilitres are there in 45/2 of a litre? 22500 What is 1/5 of a kilogram in grams? 200 Convert 205183.26 microseconds to days. 0.00000237480625 Convert 18753.17 kilograms to tonnes. 18.75317 What is fourty-two fifths of a century in months? 10080 Convert 2275.142mm to meters. 2.275142 How many centimeters are there in 1/10 of a kilometer? 10000 How many weeks are there in 3529209.6 minutes? 350.12 How many millilitres are there in fourty-two fifths of a litre? 8400 Convert 0.0930423um to nanometers. 93.0423 How many millilitres are there in 55/4 of a litre? 13750 How many millilitres are there in one quarter of a litre? 250 What is three tenths of a litre in millilitres? 300 How many millilitres are there in twenty-one quarters of a litre? 5250 What is 3345.243 millilitres in litres? 3.345243 Convert 86.3852 millennia to years. 86385.2 What is 4.20573 micrometers in kilometers? 0.00000000420573 What is fourty-three halves of a decade in months? 2580 What is 427.7379 decades in years? 4277.379 What is 5.577334cm in millimeters? 55.
{ "pile_set_name": "DM Mathematics" }
11. What is the highest common factor of 60 and h? 20 Let h be 50 - 2*(-11)/22. Let w be (2/6)/(4/204). Suppose 0 = 2*l - l - w. Calculate the highest common divisor of l and h. 17 Suppose -140 = -4*j - 3*w - 30, 0 = 4*w - 8. Suppose 2*f + 31 = 61. Suppose f*y + 4*y - 38 = 0. What is the greatest common factor of y and j? 2 Let y(o) = -3*o**2 - 130*o + 53. Let x be y(-44). Let w(u) = u**2 + 34*u + 43. Let h be w(x). What is the highest common factor of h and 104? 26 Let r = -1538 + 1623. What is the greatest common factor of 1921 and r? 17 Suppose -5*h + 55 = -2*h + m, 4*m = h - 40. Let s = 48238 - 48148. What is the highest common divisor of s and h? 10 Let b(u) = 3*u**3 - 2*u + 3. Let z be b(3). Let o be (-1)/(-7) + (-20 - (-1944)/63) + 67. What is the highest common factor of z and o? 78 Let j be 2/7 - 668/(-14). Suppose -263 + 26 = -3*g. Suppose 2*o + 35 - 97 = -4*d, 3*d - 5*o = g. Calculate the highest common factor of d and j. 6 Let a(v) = -v**3 + 8*v**2 - 14*v + 40. Let h be a(6). Suppose 564 = 5*p + 4*r, 5*p + r - 558 = 3*r. What is the highest common factor of p and h? 28 Let m(n) = 25*n - 92. Let h(d) = -17*d + 61. Let r(u) = -8*h(u) - 5*m(u). Let q be r(6). Let v = 504 - 352. Calculate the greatest common factor of v and q. 38 Suppose -13*y + 4224 = 11*y. Let o be (-54)/((-11)/(y/12)). What is the greatest common divisor of 16 and o? 8 Let i(y) = 20*y**2 + 629*y + 44. Let m be i(-32). What is the highest common divisor of m and 36? 36 Suppose -2*x + 8*x = -24. Let l be (x/5)/((-16)/120). Let c be 10*3 - (-3)/l*-4. Calculate the greatest common factor of 70 and c. 14 Suppose 8*i - 9*i + 69730 = 5*p, -209232 = -3*i - 9*p. Calculate the greatest common factor of i and 15. 15 Let g be (-22 + -2)*(-1)/4 - -4. Let p be 2006/8 + (-9)/12. Calculate the highest common factor of p and g. 10 Suppose 4 = p - 0*p, x + 2*p - 69 = 0. Suppose 4*a - 229 + x = 0. What is the greatest common divisor of 105 and a? 21 Suppose -4*f + 2*y = -752, -2*y = -9 + 1. Let w(z) = 17*z**2 - 421*z - 62. Let t be w(25). Calculate the highest common factor of t and f. 38 Suppose -4 - 3 = 7*q. Let i be (q/(-3))/(26/14586). Let j(t) = -t**2 + 10*t + 1. Let y be j(8). What is the highest common divisor of y and i? 17 Suppose 0 = 7*c + 85 - 113. Suppose 3*z = -0*z + s + 4, 0 = -3*z - c*s - 1. Calculate the greatest common factor of z and 31. 1 Suppose 0 = 70*q - 597668 + 161848. What is the highest common factor of 154 and q? 22 Suppose 25*c = 7*c - 8*c + 44720. Calculate the highest common factor of c and 280. 40 Let r(a) = -a**3 - 6*a**2 - 5*a - 24. Let u be 42/(-105) - (-66)/(-10). Let c be r(u). What is the highest common divisor of c and 60? 60 Suppose 2*w + 0*a = 4*a + 900, 5*w - 5*a - 2260 = 0. Let c = -120 + w. What is the highest common factor of c and 2? 2 Let k(a) = 11*a**3 + 3*a**2 - 7*a + 9. Let x be k(4). Let h = -722 + x. Let r = -235 + 334. Calculate the greatest common divisor of r and h. 11 Let w be (-1)/(-21 - (-55416)/2640). What is the greatest common divisor of w and 781? 11 Let o be 4 + ((-40541)/(-11) - 312/572). Calculate the greatest common divisor of 217 and o. 217 Let v(k) = -k**3 - 24*k**2 - k - 29. Let s be v(-24). Let g be 114/5 - 1/s. Let u = -207 + 529. Calculate the highest common divisor of u and g. 23 Let b be (-2)/(73904/9240 + -8). What is the greatest common divisor of b and 525? 105 Let j = -3359 + 3835. What is the greatest common factor of j and 680? 68 Suppose -5*l = -a + 130, -5*a - 2*l + 53 = -678. What is the greatest common factor of 95 and a? 5 Let q(w) be the third derivative of 7*w**5/15 + w**4/8 - 5*w**3/6 + 14*w**2. Let c be q(2). Let y = c + -73. What is the greatest common factor of 10 and y? 10 Suppose -c + 42 = 3*o, -3 = -3*c - 21. Suppose 3*h = -0*h + 396. Suppose h - 20 = f. What is the highest common divisor of f and o? 16 Let d be (-48)/312 - (-2)/13. Suppose d = -20*r - 73 + 913. What is the highest common factor of 42 and r? 42 Let d be -4 + 4 + 28 - ((-2 - -1) + 3). Suppose 0 = 2*u, -4*q - 2*u + 0*u + 12 = 0. Suppose -39 = q*n - 117. What is the highest common divisor of d and n? 26 Let t(k) = k**2 + 6*k - 16. Let i be t(14). Let g be (48/64)/((-910)/1600 - 3/(-5)). What is the highest common factor of i and g? 24 Let h be 165 + ((-3)/(-6) - 3)*-2. Let n = h - -320. What is the highest common divisor of n and 10? 10 Let z = -30 - 105. Let o = -132 - z. Suppose -2 = 3*f - 5, o*d + 5*f - 170 = 0. Calculate the highest common factor of d and 22. 11 Let j(c) = 2*c**3 + 7*c**2 + 10*c + 3. Let s be j(-1). Let q(z) = -106*z + 26. Let y be q(s). Calculate the highest common divisor of 70 and y. 14 Suppose -814 = -287*j + 5*j + 32. Calculate the greatest common factor of j and 10083. 3 Suppose 0 = -14*q - 0*q + 840. Let x be (32/(-6))/((-40)/q). Calculate the highest common divisor of x and 4. 4 Suppose 140250 = 33*o + 21*o + o. What is the greatest common divisor of 170 and o? 170 Suppose -7*c + 10*c - 21 = 3*d, -5*d + 13 = 3*c. Let y(v) = -4*v**2 + 23*v + 14. Let m be y(c). What is the greatest common factor of m and 44? 4 Suppose -2*y - y = t - 40, y - t - 16 = 0. Suppose 6*b = 61 + 209. Let f be (-6 + (-126)/b)/((-2)/35). Calculate the highest common divisor of y and f. 14 Let j be 609 - ((-86)/(-16) + ((-54)/(-48))/(-3)). What is the greatest common factor of 2869 and j? 151 Suppose 8 = s + 13. Let l be s/((-5)/28)*2. Suppose -14*v - 14 = -15*v. What is the highest common factor of v and l? 14 Suppose 2 = o - 5*g, -2*g + 6 = 11*o - 8*o. Suppose -291 = -o*a - 5*y + 29, -y = a - 160. What is the highest common factor of 10 and a? 10 Suppose -4*o - g + 29561 = 0, -4*o - 4*g + 29573 = -7*g. Calculate the greatest common factor of o and 19. 19 Suppose 0 = -5*d - 5*b + 235, -126*b = 3*d - 127*b - 121. What is the greatest common divisor of 78 and d? 6 Suppose -15*i + 33372 = -8958. What is the highest common divisor of i and 34? 34 Let k(z) = -24*z + 102. Let q(t) = 26*t - 102. Let s(p) = -4*k(p) - 3*q(p). Let c be s(7). Calculate the greatest common divisor of 162 and c. 6 Let y be 622438/28 - 607/(-8498). Calculate the greatest common factor of y and 13. 13 Suppose -2*i - 11 = -b - 2, 0 = 5*b + 2*i - 45. Let j be ((-6)/4)/(b/(-108)). What is the greatest common factor of 30 and j? 6 Let w be (-25120)/(-112) + (-2)/7. Suppose 2*h = 2*u + h - w, -3*h - 452 = -4*u. Calculate the greatest common factor of 11 and u. 11 Let f(z) = -z**3 - 3*z**2 - z + 2. Let l be f(-3). Suppose 5*p - 783 = -3*m + 254, -p = -4*m - 189. What is the highest common factor of l and p? 5 Suppose -3*c + 672 = 3*t, -51*c + 48*c = 2*t - 667. Calculate the highest common factor of 5840 and c. 73 Let m be 104 + -9 + -5*(-2)/(6/(-3)). Let k(b) = -2*b + 1. Let q be k(-2). Suppose -180 = -q*g - 0*g. Calculate the greatest common divisor of g and m. 18 Let w(s) = -975*s**3 - s**2 + 48*s + 49. Let m be w(-1). Calculate the greatest common divisor of m and 39. 39 Suppose 0 = 3*k - 3*r - 90, 2*k - 13 - 77 = -3*r. What is the greatest common factor of 2628 and k? 36 Let p be (0 + 1)/(20/80). Suppose -600 = -p*z - 40. Let n(m) = 19*m - 1. Let h be n(3). Calculate the highest common divisor of h and z. 28 Suppose o + 475 = 4*s, 185*s - 2*o - 350 = 182*s. Calculate the greatest common divisor of 6870 and s. 30 Let q(v) = 21*v - 355. Let x be q(74). Calculate the greatest common factor of x and 1090. 109 Suppose 0 = -5*l - 5*i - 2155, -9*i + 8*i + 1309 = -3*l. Let n be l/(-58) + 2/4. What is the greatest common factor of 184 and n? 8 Let k = 3985 + -3853. Calculate the highest common divisor of 4026 and k. 66 Let g be 10*((-48)/(-9) - 20/150). Let u = 42 + -29. Calculate the highest common divisor of u and g. 13 Let p(q) = 420*q - 6484. Let h be p(16). What is the greatest common divisor of h and 4779? 59 Let n be (-3)/((-6)/49)*6. Let l(u) = 136*u + u**2 + 13 - n*u + u**2. Let c be l(7). What is the highest common factor of 85 and c? 17 Let v(f) = f**2 - 5. Let g be v(-3). Suppose -p + g*p = 12. Suppose -4*s + 9*s = 40. Calculate the greatest common factor of p and s. 4 Suppose -3*q + 2*a = -10245, -12*q = -3*a - 54148 + 13138. What is the highest common factor of 13 and q? 13 Let s(u) = 5*u**3 - 24*u**2 + 8*u + 10. Let r be s(7). What is the greatest com
{ "pile_set_name": "DM Mathematics" }
{m: 5, b: 11, n: 1}? 5/136 Four letters picked without replacement from yyyyyyyyy. Give prob of picking 4 y. 1 Two letters picked without replacement from eqeffqqffqqfqqq. Give prob of picking 1 e and 1 f. 2/21 Calculate prob of picking 2 v when two letters picked without replacement from {l: 8, v: 5}. 5/39 What is prob of picking 2 m and 2 g when four letters picked without replacement from {g: 4, v: 3, m: 4}? 6/55 Four letters picked without replacement from kuuuuukuuuuuuuuukku. What is prob of picking 4 u? 455/1292 Four letters picked without replacement from {z: 1, w: 2, y: 2}. Give prob of picking 1 z, 2 w, and 1 y. 2/5 Four letters picked without replacement from aeaaaaee. What is prob of picking 3 a and 1 e? 3/7 What is prob of picking 1 r, 1 y, and 1 e when three letters picked without replacement from erxxxxry? 1/28 Calculate prob of picking 1 q and 1 j when two letters picked without replacement from qqqj. 1/2 Calculate prob of picking 1 o and 1 r when two letters picked without replacement from gocirgcccgocp. 1/39 Calculate prob of picking 1 t and 1 z when two letters picked without replacement from tqspcccczssczzzsz. 5/136 What is prob of picking 2 y when two letters picked without replacement from byyyqyqbqqb? 6/55 Calculate prob of picking 1 u, 1 f, and 1 h when three letters picked without replacement from fhuuuuuuk. 1/14 Three letters picked without replacement from {f: 13, k: 5}. What is prob of picking 1 f and 2 k? 65/408 What is prob of picking 1 h and 1 m when two letters picked without replacement from {e: 1, k: 1, m: 2, h: 1}? 1/5 Calculate prob of picking 1 h and 1 m when two letters picked without replacement from unuhuwuhmumuuun. 4/105 Two letters picked without replacement from {j: 1, l: 1, s: 1, t: 2, g: 1, q: 1}. What is prob of picking 1 q and 1 t? 2/21 Calculate prob of picking 2 f and 2 i when four letters picked without replacement from ffffifffificfifivivi. 63/323 Calculate prob of picking 3 d and 1 q when four letters picked without replacement from qdccxdfddqccdddqfdqd. 112/1615 Two letters picked without replacement from lsmsdseemxmesmm. What is prob of picking 1 d and 1 x? 1/105 Two letters picked without replacement from {l: 2, q: 4, j: 1, g: 2, b: 3}. Give prob of picking 1 q and 1 b. 2/11 Calculate prob of picking 3 o and 1 r when four letters picked without replacement from ooroooooorooo. 6/13 Two letters picked without replacement from daaaehah. Give prob of picking 1 a and 1 h. 2/7 What is prob of picking 2 d and 1 e when three letters picked without replacement from eeedddddeeed? 9/22 Four letters picked without replacement from ccaactctctcdf. Give prob of picking 1 d, 2 c, and 1 f. 3/143 Calculate prob of picking 3 q when three letters picked without replacement from qqqqccqc. 5/28 Calculate prob of picking 1 q, 1 v, and 1 m when three letters picked without replacement from msvvq. 1/5 What is prob of picking 2 w when two letters picked without replacement from wrwccrwwe? 1/6 Calculate prob of picking 1 c, 1 x, and 1 e when three letters picked without replacement from {c: 5, b: 8, e: 2, x: 2, i: 1}. 5/204 Calculate prob of picking 1 s and 1 i when two letters picked without replacement from hiskq. 1/10 Two letters picked without replacement from {u: 5, n: 5}. Give prob of picking 2 n. 2/9 Two letters picked without replacement from {w: 6, i: 4, m: 2, x: 2, l: 1}. What is prob of picking 1 i and 1 x? 8/105 Four letters picked without replacement from {r: 3, g: 5}. Give prob of picking 1 g and 3 r. 1/14 Two letters picked without replacement from mzzzzzwmzzw. What is prob of picking 1 z and 1 w? 14/55 Three letters picked without replacement from {f: 10, d: 2}. What is prob of picking 1 f and 2 d? 1/22 Two letters picked without replacement from {f: 1, q: 5, x: 7, j: 1}. What is prob of picking 1 x and 1 f? 1/13 Three letters picked without replacement from yooiyohoyooiq. Give prob of picking 1 o, 1 y, and 1 i. 18/143 Two letters picked without replacement from wplwlpllalaulplllpl. Give prob of picking 1 u and 1 a. 2/171 What is prob of picking 2 x, 1 n, and 1 t when four letters picked without replacement from {t: 1, l: 5, g: 7, n: 3, x: 3}? 3/1292 What is prob of picking 1 n and 1 w when two letters picked without replacement from owppwnoplw? 1/15 Three letters picked without replacement from {e: 3, q: 11}. Give prob of picking 3 e. 1/364 What is prob of picking 4 i when four letters picked without replacement from {i: 9, o: 3, y: 4}? 9/130 What is prob of picking 1 x and 1 d when two letters picked without replacement from {x: 4, d: 3}? 4/7 What is prob of picking 1 x, 1 y, and 1 h when three letters picked without replacement from oxhoyhhoiohhjohi? 3/280 Two letters picked without replacement from ppnpnpnnnnn. What is prob of picking 1 p and 1 n? 28/55 Three letters picked without replacement from {m: 1, k: 1, i: 1, o: 1, e: 1, p: 2}. What is prob of picking 1 m, 1 o, and 1 e? 1/35 What is prob of picking 1 s, 1 p, 1 v, and 1 a when four letters picked without replacement from svvpvampmppd? 4/165 Three letters picked without replacement from {n: 17, l: 3}. Give prob of picking 3 l. 1/1140 Two letters picked without replacement from qbvqvqq. What is prob of picking 1 v and 1 b? 2/21 Two letters picked without replacement from kjkxjjktkkktkjqktk. What is prob of picking 1 j and 1 k? 4/17 Three letters picked without replacement from {u: 6, d: 2}. What is prob of picking 1 u and 2 d? 3/28 Three letters picked without replacement from {h: 1, v: 1, t: 7, o: 3}. What is prob of picking 1 h and 2 t? 21/220 Four letters picked without replacement from pzzppzp. Give prob of picking 4 p. 1/35 What is prob of picking 1 x and 2 k when three letters picked without replacement from {d: 1, f: 3, k: 4, e: 1, x: 4, n: 2}? 24/455 Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {l: 1, k: 5, b: 1, f: 2}. 1/36 What is prob of picking 3 d and 1 n when four letters picked without replacement from nnyyyyyydynydddnyyyy? 16/4845 What is prob of picking 2 a and 1 t when three letters picked without replacement from tttttaaattttttt? 36/455 What is prob of picking 2 y, 1 c, and 1 h when four letters picked without replacement from {h: 5, y: 2, c: 1, z: 1}? 5/126 Two letters picked without replacement from {w: 3, h: 2, m: 9, g: 2, p: 1}. What is prob of picking 1 m and 1 h? 9/68 What is prob of picking 1 w and 1 c when two letters picked without replacement from {w: 1, c: 2, o: 5, i: 1, k: 1}? 2/45 What is prob of picking 1 w, 1 e, and 2 b when four letters picked without replacement from ewbfwb? 2/15 Three letters picked without replacement from wggnnnwgwggdwgdwdwgw. Give prob of picking 1 n and 2 d. 3/380 What is prob of picking 1 r, 1 o, 1 s, and 1 t when four letters picked without replacement from {q: 3, o: 3, s: 2, t: 6, r: 1}? 12/455 Two letters picked without replacement from {t: 3, w: 13, j: 3}. What is prob of picking 1 j and 1 w? 13/57 Calculate prob of picking 1 n and 2 i when three letters picked without replacement from ninnini. 12/35 What is prob of picking 1 i and 1 g when two letters picked without replacement from {i: 7, g: 3}? 7/15 Four letters picked without replacement from {a: 5, s: 2, o: 7, e: 1, i: 3}. What is prob of picking 1 s, 1 a, and 2 i? 1/102 Three letters picked without replacement from {h: 2, i: 5, r: 1, w: 1, y: 1}. Give prob of picking 1 w, 1 y, and 1 i. 1/24 Calculate prob of picking 1 c, 2 y, and 1 q when four letters picked without replacement from {c: 2, y: 8, q: 2}. 112/495 What is prob of picking 1 t and 1 e when two letters picked without replacement from {x: 1, f: 2, t: 4, r: 1, e: 3, v: 1}? 2/11 What is prob of picking 1 f and 1 a when two letters picked without replacement from aaphfka? 1/7 What is prob of picking 1 c and 1 s when two letters picked without replacement from ccrcsscrcscs? 4/11 Four letters picked without replacement from vkvvkkkpvvpkp. What is prob of picking 1 p and 3 v? 6/143 Calculate prob of picking 3 c when three letters picked without replacement from ccccoscccccscscsccsc. 91/285 Two letters picked without replacement from pmmrmmlmlxypxxp. Give prob of picking 1 p and 1 l. 2/35 What is prob of picking 2 e when two l
{ "pile_set_name": "DM Mathematics" }
1 + 3, -5*t - 4*d = -16. Suppose 0 = 3*i - t*i - 12. What is the lowest common multiple of 6 and i? 12 Let m be (1/(-2))/((-10)/140). Suppose 10*r = m*r + 45. What is the smallest common multiple of 3 and r? 15 Let h be (9/156 + 0)*2/(-8). Let j = h - -5723/208. Find the common denominator of -81/14 and j. 14 Suppose -4*p + 10060 = -4*u, 9*u + 2*p = 4*u - 12589. Let z = u - -110725/44. Find the common denominator of 87/28 and z. 308 Suppose 0 = -2*r - f + 4*f + 160, -3*r + 240 = -3*f. Find the common denominator of 91/6 and 5/r*-47 + 2. 48 Let l be 3*-1 + 54887/(-42). Let i = l - -1314. Calculate the common denominator of -7/16 and i. 48 What is the lowest common multiple of (-2)/(-7) + 0 + 1364/28 and 105? 735 Let m = -1 + 7. Let w(q) = q - 12. Let b be w(m). Calculate the common denominator of -67/22 and 4 + 27/8*b. 44 Let t be (-42203)/(-70105) + (-6)/10. Let k = t - 106207/24036. Calculate the common denominator of -23/12 and k. 12 Calculate the common denominator of 3/(-2)*(-2173)/(-2915) and 43/6. 330 Suppose 437 = 11*r - 333. Suppose -q + r = 2*y, -2*y + q + 29 = -y. Calculate the common denominator of y and 11. 1 Suppose 0 = -14*c + 9*c + 50. Suppose -h - 4 = -c. What is the smallest common multiple of h and 4/6*(-63)/(-6)? 42 Let u = -50879/12 - -4245. What is the common denominator of -33*(-10)/108*1/(-5) and u? 36 Suppose -5*x = 2*i + 278, 3*x - 3*i = x - 96. Let q = 10 + x. Let t = -26 - q. Calculate the lowest common multiple of 22 and t. 198 Let r = -595625/1731846 + -3/18622. Calculate the common denominator of r and 59/24. 744 Let h(m) = m**2 - 10*m - 300. What is the lowest common multiple of h(-14) and 108? 108 Let j(g) = -g**2 + 8*g + 17. Let a be j(9). Suppose -7 = 4*x + 4*r - 35, 0 = 2*x - r - a. Calculate the lowest common multiple of x and 8. 40 Calculate the common denominator of 91/88 and 95/57 + (-1 - 39/504). 616 Suppose -3*s + 4 = -2. Suppose 984 = -s*u - 2*u. What is the common denominator of u/8*6/9 and -63/4? 4 Let w = -122934/55 + 2235. Calculate the common denominator of -1/80 and w. 880 Let b(g) = 7*g**2 - 12*g - 1. What is the lowest common multiple of b(2) and 6? 6 Let y = -20/231 + 11131/125895. Let r = -20184/10355 + y. What is the common denominator of r and -27/7? 133 Let p = -5 + -1. Let i(h) = h**2 + 8*h - 1. Let n be i(p). What is the common denominator of -3 - n*(-21)/(-60) and 123/10? 20 Let u(k) = 57*k + 179. Calculate the least common multiple of u(-3) and (-2)/(-3)*(-3)/(-2). 8 Suppose 0*r = -3*r. Find the common denominator of 1/(-6) - r - (-2 + -11) and 5/24. 24 Let m = 3/1591 - 30409/95460. What is the common denominator of (-25)/10*(117/(-120))/(-3) and m? 240 Suppose 0*i = -2*i + 4*f + 108, -5*f = -5. Suppose 0*c = 5*c - 2*k + i, 4*k = c + 22. What is the common denominator of -149/36 and 25/(-32)*(-2 + c)? 72 Suppose -5*t + t - 4 = 0. Let j = 6 + t. Suppose -j*b = 2*o - 55, 4*o + 4*b + 41 - 133 = 0. What is the lowest common multiple of 6 and o? 60 Let r(w) = -w**3 + 15*w**2 - 15*w + 16. Let u be r(14). Calculate the common denominator of (u/(-14))/((-66)/1925) and 83/28. 84 Let h = -26675/2454 - -15/409. Calculate the common denominator of h and 95/126. 126 Suppose 5*a - 35 = -0*a. Calculate the smallest common multiple of 1*(2 + 4/1 + -5) and a. 7 Let l = -2001806/87 - -23009. What is the common denominator of l and 11/9? 261 Let a = -1/7544 - 201797/37720. Find the common denominator of a and -77/30. 60 Suppose 3*w = 14 - 5. Suppose 91*l + 428 = -36*l + 1317. Calculate the least common multiple of l and w. 21 Suppose 3*s - 50 = 103. Suppose -5*u - l + s = 0, 3*u - 3*l + 0*l = 45. Suppose -n - 7 - 4 = 5*k, 5*n = k + 23. Calculate the lowest common multiple of u and n. 44 Let x = 46 - 44. What is the common denominator of -4 and (x/12)/(801/(-402) - -2)? 3 Suppose 2*u = -2*u - 132. Let w = 17 + u. What is the common denominator of w and -69/4? 4 Suppose -3*v + 5 = -5*f, -4*v - 3*f = -v - 21. Let b(g) = 7 + g**2 + 4*g - 5*g**2 - v*g**3 - 2*g**2 + 6*g**3. What is the least common multiple of 22 and b(5)? 22 Let i = -11 - -14. Suppose -3*f + 4*p = -p - 38, i*p - 18 = -5*f. Suppose 3 = 3*g, 2*a - f*a = g - 5. What is the least common multiple of a and 2? 2 Let a be (-1 + 20/16)*44 + 1. Calculate the lowest common multiple of 1 and 11/(-55) + a*(-31)/(-10). 37 Let l = 428 + -322. What is the lowest common multiple of 6 and l? 318 Suppose -6 = 14*b - 13*b. What is the smallest common multiple of 2 and b/(-8) - 745/(-20)? 38 What is the common denominator of 4 + -7 + -1 + 543/144 and 81/64? 192 Suppose -3*l - 15 = 0, 3*t - 5*l = 28 + 72. Let r = t + -22. Suppose -c = -4*k + 33, r*c - 45 = k - 5*k. Calculate the smallest common multiple of 1 and k. 9 Let l = -10251/4 - -92069/36. Find the common denominator of -41/10 and l. 90 Suppose -f + 6*f - 5*z = 415, 0 = -2*f + 4*z + 172. What is the common denominator of -77/8 and 1844/f - 1/(-5)? 8 Suppose -2 - 1 = 3*t. Calculate the smallest common multiple of (-10)/t - (2 - 3) and 51/4 - 12/16. 132 Let v = -1886153/124 + 15211. Calculate the common denominator of v and 34/217. 868 Let b = -16 + 16. Suppose -25 = 5*p, -d = -b*d - p - 13. What is the lowest common multiple of d and 6? 24 Let f be ((-1826)/(-16))/(1/(-11)). Let v = f - -1266. Calculate the common denominator of 35/53 and v. 424 Let x = -10908 - -239895/22. Calculate the common denominator of -1/8 and x. 88 Calculate the common denominator of 6/(-15) - 269/(-35) and 2/(-10)*-1*4445/(-56) - -5. 56 Let f = -48/79 + -5829/158. Let a be (65/12)/((-2)/(-22)). Let w = -503/6 + a. Find the common denominator of f and w. 4 Suppose -5*s + 5*g - 24 = -59, 0 = 4*s - 5*g - 23. Let w = -7078 - -7098. Calculate the least common multiple of s and w. 60 Suppose -25 = -m + j, 2*m - 2*j = -6*j + 26. Calculate the lowest common multiple of ((-9)/(-1))/(-2*12/(-80)) and m. 210 Suppose -840 - 196 = -7*y. Let m = 154 - y. What is the lowest common multiple of 21 and m? 42 Let f(a) = 6*a**2 + 5*a - 26. What is the lowest common multiple of 45 and f(-5)? 495 Let x = 44 - 20. Suppose 0 = -x*b + 19*b + 75. What is the smallest common multiple of 15 and b? 15 Suppose a = -5*q - 34, 5*a = 3*q - 0*a - 2. Let v be (813/q)/(-1 + 2). Let c = v + 138. Find the common denominator of c and 9. 2 Let c = 1421/20 + -79971/1120. Calculate the common denominator of c and -23/224. 224 What is the common denominator of -101/8 and (-10)/65 - (-1918)/(-1560)? 120 Let o(q) = q**3 - 6*q**2 + 8*q - 2. Let s be o(6). Let k = s + -7. Calculate the smallest common multiple of k and 1. 39 Let r = -647/70 - -88/5. Find the common denominator of r and -23/2274. 15918 Suppose 2*r - 6 = -r - v, 0 = -2*r - 5*v - 9. Let w(p) = 7*p - 1. Let s(i) = 2*i**3 - 27*i**2 + 18*i - 39. What is the least common multiple of w(r) and s(13)? 260 Let v(k) = -2*k**3 + 2*k**2 + 3*k - 3. Let f be v(2). Let r be -4*(f - -2 - -2). Suppose -18 - 22 = -r*h. What is the lowest common multiple of h and 11? 110 Let g be 6/(-15) + 108/20. Suppose 0 = g*c - 5*l + 375, 7*c = 4*c - 2*l - 225. Find the common denominator of 7/((-5)/(c/(-12))) and 93/8. 8 Suppose 4*k + 3*i = 3*k - 338, -k + 5*i - 322 = 0. Calculate the common denominator of 1 - (k/(-96) + 0) and 115/18. 72 Let t(y) = y**3 - y + 2. Let q = -475/237 + -26/79. What is the common denominator of q and t(-3)? 3 Let j(h) = -7 + 6*h + h - 3. Let b = 12931/4 - 3249. What is the common denominator of j(8) and b? 4 Let w = 259783/12 + -12962. Let i = -8698 + w. Let a = -23/2 + 26. What is the common denominator of i and a? 12 What is the common denominator of ((-555)/50)/(1176/(-35)) and 37/20? 560 What is the common denominator of -1*(6 - 951/72 - -4) and 107/20? 120 Calculate the common denominator of -59/48 and (-2 + 40/56)*(-63)/(-24). 48 What is the common denominator of -137/138 and (-33)/(-42)*(10 + (-15)/3)? 966 Calculate the common denominator of (-2070)/432*(-6)/(-9) and -109/42. 252 Let d be -4*(-3)/12 - 1. What is the smallest common multiple of 14 and -1 + d - (-1 - 2)? 14 Let i be (-926355)/40*85/135. Let d = -14583 - i. What is the common denominator of 56/27 and d? 216 Let i(r) = r**3 - 2*r**2 + 3*r - 16. Let g be i(0). Find the common denominator of -34/11 and (105/(-28))/(21/g). 77 Let r be -60*(315
{ "pile_set_name": "DM Mathematics" }
+ u + p*c**3 and give p. -2 Express (0 + 0 - 2)*(0*p**2 + 3*p**2 - 2*p**2) + 0*p**2 - 4*p**2 + 2*p**2 as m*p**2 + w*p + b and give w. 0 Rearrange 0*b + 7*b - 3*b - 3*b + b + 4*b + (2 - 3 + 2)*(-b - 2*b + 4*b) + (0 + 3 - 1)*(-2*b + 2*b - b) to the form s + k*b and give s. 0 Express 4*k**2 - 17*k**2 - 2*k**2 in the form d*k**2 + u + q*k and give d. -15 Express -4*g**3 + 8*g**3 + 3*g**2 - 2*g**3 + 8*g**3 as r*g**2 + z*g**3 + a + d*g and give r. 3 Express 16*u + 2 - 44*u + 14*u - 1 + u**2 in the form v + o*u**2 + f*u and give o. 1 Rearrange 2*s - 2*s + 2*s + 5*s + 2*s - 12*s + (1 + 1 - 1)*(0 + 0 + 2*s) + 3 - 3 + 2*s to the form g*s + p and give g. 1 Rearrange -2 + 4 + 15*m + 0 to the form a*m + x and give x. 2 Rearrange (-2*l + 2*l + l**2)*(-l**2 + 7 - 7) + (-l**3 + 3*l**3 - l**3)*(-3*l + 2*l + 4*l) to the form p + i*l**4 + g*l + r*l**2 + n*l**3 and give r. 0 Express 2*l**4 - l**3 - 1 + 1 + 41*l**2 - 40*l**2 as i*l**4 + b*l**2 + h + s*l + g*l**3 and give g. -1 Express -22 + 7 + f**2 + 35 as z*f**2 + u + h*f and give h. 0 Rearrange -2 - 1 + 3 - 107*w**2 to the form f*w**2 + s + b*w and give f. -107 Rearrange (-2*v - v + 2*v)*(2 + 0 + 0) + (1 + 5 - 5)*(13*v - 3*v + 14*v) to q*v + k and give k. 0 Express (-2 - 3 + 4)*((2 + 7 - 3)*(-c + 5*c - 2*c) - 2*c + c + 2*c)*(-3 + 3 + 3) + c + 2*c - 2*c in the form f + s*c and give s. -38 Express (g - 6*g + 2*g)*(2*g + g - g)*(1 + 2 - 5)*(-g - g + 0*g) as n*g**3 + x*g + o + r*g**2 and give o. 0 Rearrange 0*q**2 - 3*q**2 - 6*q**2 + 0*q**2 to the form n*q + p*q**2 + j and give p. -9 Express 2*j**2 + 3 - 2 - 30*j + 30*j in the form u*j + c*j**2 + z and give u. 0 Rearrange 3*p**3 + p**3 - 2*p**3 - 6 to the form d*p**3 + y + k*p + s*p**2 and give d. 2 Rearrange (y + 4*y - 3*y)*(y**2 + 5*y**2 - 6*y**2 + 273*y**3) to j*y**2 + m*y**4 + h*y**3 + q*y + g and give m. 546 Express -2*n - 3 + 4*n**3 + 5*n**3 + 4 + 9*n**3 as r*n**2 + q*n + g*n**3 + x and give x. 1 Rearrange 3*i + 3*i - 5*i + 7*i to the form y*i + f and give y. 8 Express -2 + 2*l + 4 - 2 in the form a + p*l and give p. 2 Rearrange 7*c**4 + c**4 + c**2 - 3*c**4 - 4*c**4 - 7 to o*c**2 + w + q*c + r*c**4 + g*c**3 and give w. -7 Express -74*t**2 + 58 - 58 as r + s*t**2 + i*t and give s. -74 Rearrange 2*z**2 + 1 + 3*z + z**3 - 3 + 385*z**4 - 387*z**4 to the form a*z**4 + w*z + l + c*z**2 + q*z**3 and give l. -2 Rearrange -22 + 57 - 15 - 19 + 20*w to the form d + q*w and give d. 1 Express (2*i + i - 2*i)*(-i**2 - i**2 + 4*i**2) + 131 + 58*i**3 - 131 as t*i + g + y*i**2 + z*i**3 and give z. 60 Rearrange (2*s + s - 2*s)*((2*s - 3*s + 0*s)*(-1 + 1 - 2) + 22*s + 32 - 32) to d*s + k*s**2 + x and give k. 24 Express 52*f**2 + 2*f - 6*f + 4*f in the form o*f + m + z*f**2 and give z. 52 Rearrange 7*k - 4*k + 0*k + 8*k to the form n*k + c and give n. 11 Express -3 - 3*x**2 + 3 + 13*x**2 as l*x**2 + u + d*x and give u. 0 Express 1 + 2*p - 1 + 15*p in the form c*p + g and give c. 17 Express 5*f + 12*f - 19*f + f**2 - f**2 - f**2 + 3*f**2 + (f + 0 + 0)*(0*f + 2*f - f) in the form m*f**2 + t + a*f and give m. 3 Rearrange -7*q**3 + q**2 - 1 + 4*q**4 - 3*q**2 + 6*q**3 - 2*q to n*q**4 + g*q**2 + x*q**3 + h*q + t and give g. -2 Rearrange -59*k**2 + 13*k**2 - 21*k**2 to the form v + x*k + r*k**2 and give r. -67 Rearrange (2 - 2 - q**2)*(-35 + 2 - 7) to the form k*q**2 + f + v*q and give k. 40 Rearrange (-4*x**2 - 4*x + 4*x)*(3*x + 3*x - 3*x) + 0*x**2 - x**3 + 0*x**2 to the form z*x**3 + h*x + w*x**2 + p and give z. -13 Rearrange -20 + 71*h - 13 + 35 to n*h + c and give n. 71 Rearrange (0*p**2 + 4*p**3 - 2*p**3 + 5*p**2)*(6 - 4 - 9) to the form v*p**3 + n + m*p**2 + r*p and give v. -14 Rearrange (-9 + 12*q**2 + 7 + 5*q**2)*(-2*q - 2 + 2) to the form f + j*q + u*q**2 + n*q**3 and give j. 4 Rearrange -3*s**2 + 3*s + s**2 + 2*s**2 + s**2 to the form u*s**2 + v*s + l and give u. 1 Rearrange -4*p**2 - 2*p + 2*p - 2*p + 2*p**3 - 2*p**2 to the form d + x*p**3 + j*p + g*p**2 and give g. -6 Rearrange 0 + 0 + 55*k - 56*k to n*k + u and give n. -1 Express -2*t + 2*t**2 - 18 - 22 + 40 as n + a*t**2 + z*t and give z. -2 Express 3*n**3 - 3*n**3 + 2*n**2 + 3*n**2 + 2*n**3 in the form t*n**2 + z*n + v*n**3 + a and give v. 2 Rearrange (7*c - 7*c - 7*c)*(-16*c - 3 + 0 + 3) to the form t + d*c + z*c**2 and give z. 112 Express (8 - 1 - 8)*(-2 - 2*f**2 + 2) as j + r*f + a*f**2 and give a. 2 Rearrange -m**3 + 275 - m**4 - 275 - 6*m**2 to the form j*m**2 + r*m + q*m**4 + t*m**3 + n and give q. -1 Express -44*n**2 + n + 2*n**3 + n + 39*n**2 in the form w*n**2 + x*n + j + b*n**3 and give w. -5 Express (4*n**3 + 2 - 2 + n**3 - 3*n**2 + 3*n**2 + (-7*n + 3*n + 3*n)*(-4*n**2 - n**2 + 3*n**2))*(-2 - 5 - 2) in the form b*n**2 + l*n + i*n**3 + g and give b. 0 Express (150 - 10 - 25)*(-w + 0*w + 0*w) as p + x*w and give x. -115 Express 21*z - 55*z + 26*z in the form s + p*z and give p. -8 Rearrange (5*r + r - 4*r)*(5 - 5 + 3)*(2 - 2 + 2) to the form p + b*r and give b. 12 Express -25*z + z + 8*z in the form v + s*z and give s. -16 Rearrange (-w + 0*w + 0*w)*(1451*w - 1451*w + 31*w**2)*(-3*w + 4*w + 0*w) to the form a*w**2 + q*w**4 + r*w**3 + l*w + g and give q. -31 Express 83*g - 49*g + 80*g as f + h*g and give h. 114 Rearrange 31*y + 65 - 14*y - 18*y to f*y + a and give a. 65 Rearrange -8 + 4*u**2 + 12 + u**3 + 5*u**2 - 5 to n*u**3 + z*u**2 + l + i*u and give z. 9 Express -56 + 56 + 17*l as r + d*l and give d. 17 Express -f**3 + 4 + 4*f**3 - f - f**3 - f**3 as q*f**2 + x*f**3 + g*f + n and give n. 4 Rearrange (-3 - 1 + 2)*(2 + x - 2) + (-1 + 0 - 1)*(-6 + 14*x + 6) to the form s*x + a and give s. -30 Express 5*i - 5*i + 60*i**2 - 2 + 15*i**2 as c*i**2 + z*i + p and give z. 0 Express 3*j**4 + 2*j**4 - 7*j**4 + 6 + 4*j**2 - 2*j as q + f*j**3 + r*j + x*j**4 + h*j**2 and give x. -2 Rearrange -6 - 13 + 2*n**2 + 18 + 6*n to the form h*n**2 + r + k*n and give r. -1 Express 5*m + 15*m - 4*m + 16*m in the form z + q*m and give q. 32 Rearrange 568*h - 568*h - 23*h**3 + (-6 + 0 + 4)*(6*h**3 - h**3 - 3*h**3) - 2*h**2 + 2*h**2 + 2*h**3 to the form v + b*h + m*h**2 + k*h**3 and give k. -25 Express (-37*t + 12*t - 19*t)*(1 - 2 - 1) in the form a + l*t and give l. 88 Express 3 + 0*b + 2*b - 3*b**4 + b**4 + 3*b**4 in the form f*b + t + l*b**4 + y*b**2 + g*b**3 and give t. 3 Express (-5*f**4 + 3*f**4 + f**4)*(4 - 9 - 5) + (2 - f - 2)*(3*f**2 + 2*f**3 - 3*f**2) - f**2 + f**4 + f**2 as d*f + m*f**2 + a*f**3 + j + r*f**4 and give r. 9 Rearrange 0*s - s - 4*s + s**2 to p*s + v + u*s**2 and give u. 1 Express 168 - 5*l - 168 + l**3 - 19*l in the form r*l + p*l**2 + f + z*l**3 and give z. 1 Express 25*u**2 + 5*u**2 - 13*u**2 + 51*u**2 in the form g + p*u**2 + k*u and give p. 68 Express 336*i + 6*i**2 - 4*i**2 - 7*i**3 - 334*i in the form s*i**2 + m*i**3 + b + d*i and give d. 2 Express (0*h - 2*h + 3*h)*(-1 + 4 + 1 + (-2 + 0 + 3)*(4 + 2 - 4))*(4*h**3 - 2*h**3 - h**3) as l*h**3 + c*h + i + v*h**2 + r*h**4 and give r. 6 Rearrange 2 - 8 + n - n**3 - 2 to o*n + y*n**2 + m + t*n**3 and give t. -1 Rearrange (14 - 14 - 9*v)*(-4*v + 0*v + 2*v)*(6*v**2 - 5*v**2 + 0*v**2) to the form g*v**2 + f*v**3 + a*v**4 + m*v + u and give a. 18 Express 544 - 544 - 43*b**2 in the form v*b**2 + p*b + a and give v. -43 Rearrange 484 + 8*i - 484 to the form s*i + n and give s. 8 Express 12*q**2 + 25*q**2 + 48*q**2 - 9*q**2 in the form y + n*q + s*q**2 and give s. 76 Rearrange -57 + 58 - 2*d**4 + 2*d - 2*d**3 - d**2 - d**3 to u*d**2 + k + i*d**4 + z*d + v*d**3 and give k. 1 Express -7*t**3 - 11*t**3 + 11*t + 16*t**3 as q*t + y*t**2 + v + l*t**3 and give q. 11 Rearrange 1 - f**2 + 7*f + 1 - 12*f + 4*f to l*f + z*f**2 + q and give q. 2 Rearrange (2*s - 2*s - 2*s)*((8 - 1 - 1)*(1 - 2 + 4) - 1 + 2 - 3) to the form d + b*s and give d. 0 Express 19*i**2 - 4*i**2 + 43*i**2 as c*i + v*i**2 + s and give v. 58 Rearrange -6*t - 12*t - 8*t + 25*t + 2 to q + z*t and give z. -1 Express -5 + 141*u - 141*u - 3*u**2 as t*u**2 + w + z*u and give t. -3 Express 16 + r - 8 + 10 as b + c*r and give c. 1 Express (10*n + 10*n - 16*n)*(-3 - 1 + 2)*(3*n + n - 2*n)*(n**2 + 2*n**2 + 2*n**2)*(1 - 5 + 3) as j*n**3 + u*n + b + v*n**4 + y*n**2 and give v. 80 Express -23*y**2 - 25 + 25 in the form z*y**2 + a + q*y and give z. -23 Rearrange (-5*l**3 + 42*l**3 + 27*l**3)*(-l - l + 0*l) to the form z*
{ "pile_set_name": "DM Mathematics" }
+ v. Which is the nearest to 0.1? (a) o (b) -0.3 (c) l b Let j = -25/6 - -9/2. What is the closest to 5 in 0.1, j, -5? j Let r = 17/11 - 142/99. Let f = -0.2 - -0.65. Let c = f + -0.05. What is the nearest to 0.1 in 1/11, r, c? 1/11 Let i = -1.3 + -1.7. Let u = i + 2. Which is the closest to 0? (a) 0.3 (b) 4 (c) u a Let z = 2 + -2. Let h = 25 + -18. Let x = 7 - h. What is the nearest to z in 2/7, x, 0.2? x Let h = -0.6 + -3.4. Let x = -16/5 + 4. Which is the nearest to 0.5? (a) x (b) -1 (c) h a Let m = 0.14 - -2.11. Let v = 1.8 - m. Let o = -0.05 + v. Which is the nearest to 1? (a) o (b) -2/7 (c) -4 b Let x = 0.02 + -1.02. Let o = x + 3. Which is the closest to o? (a) -2/3 (b) -4/7 (c) 5 b Let t = 94 + -98. Which is the closest to -0.1? (a) -0.3 (b) t (c) 2 a Let r(v) = -v. Let d be r(-3). Let h(p) = 3*p + 1. Let j be h(-1). Let g be (-1 - (j - 1))/1. Which is the nearest to 0? (a) g (b) d (c) 0.1 c Let j = -45 + 317/7. Which is the closest to -1? (a) -0.9 (b) j (c) 2 a Let z = 0.7 + -0.2. Let i = -0.8 + 1. Which is the closest to 1? (a) z (b) -2 (c) i a Let t be (-33)/(-9) - 4/6. Let w be (t - 1)/(28/2). Which is the nearest to 0? (a) w (b) 3/5 (c) -1/5 a Let w = 281/8 - 35. Which is the nearest to -1/2? (a) 0.2 (b) -2 (c) w c Let y = -1 + -4. Let i = 15 + -11. Which is the closest to -1? (a) 0.3 (b) i (c) y a Let d(m) = -m + 2. Let o be d(-3). Let r = -0.848 + 0.878. Which is the nearest to r? (a) 3 (b) o (c) -2 c Let k = 0.6 + -0.8. Which is the closest to 2? (a) 0.4 (b) k (c) 0 a Let y be (4/18)/(8/12). Let k = -91/100 + 4/25. Which is the closest to 1? (a) y (b) k (c) -1/5 a Let m = -0.3 - -0.1. Let u be 0 + ((-16)/(-10))/(-4). Let y = 0.2 - -0.3. What is the nearest to u in -2, m, y? m Suppose 0 = 5*g - 10, g - 12 = 4*t - g. Which is the closest to t? (a) -1 (b) -2/9 (c) 0.4 a Let o = 27/85 - 2/17. Let s = -211751/385 - -550. Let t = 1931/2310 + s. Which is the nearest to 0.2? (a) o (b) 4 (c) t a Let a = -3 - 0. Suppose -3 - 30 = -3*v. Suppose -6*n + v = -13. What is the nearest to 4 in n, -1, a? n Let b = -0.02 + -0.28. Let i = 13/14 + -3/7. What is the nearest to i in b, 4, -1/3? b Suppose 4*i + 0 - 1 = -z, 4*i = 3*z - 3. Let o be (-1)/z + 60/42. What is the closest to 1 in o, -0.5, -1/12? o Let x be (-4)/6 - 8/(-9). Let r = 0 + 0.8. Let p = r - 0.6. Which is the nearest to -0.2? (a) p (b) x (c) 0.4 a Let v = 9 - 5. What is the closest to 1 in 2/11, 0.1, v? 2/11 Let u = -6.5 + 6. Let x = -39.7 + 40. What is the nearest to -0.3 in -0.2, x, u? -0.2 Let i be (-4)/(-14)*(-1)/2. Which is the nearest to 1? (a) i (b) 2/3 (c) 1/6 b Let m be 6 + -2 + (-48)/15. Let p = -2.06 - -0.06. Which is the nearest to -1? (a) p (b) m (c) 1 a Let i = 103/4 + -26. Let f = -113/20 - -25/4. Let m be (-1)/(12/3 - 3). Which is the nearest to i? (a) f (b) m (c) 0.4 c Let l = 851/22 - 77/2. What is the nearest to l in 3, 1, 2/5? 2/5 Let b be (2514/(-4))/((-90)/(-10)). Let l = -70 - b. What is the closest to 0.1 in l, 3, 1? l Let o = 7 + -3. Let p = -3 + 2.97. Let w = -0.43 - p. Which is the closest to -1? (a) -2 (b) w (c) o b Suppose 0 = u + 5*a + 20, -2*u + 5 = -3*a - 20. Let h = 85 + -85.4. What is the closest to -2 in u, h, 3? h Let n = 0.2 + -0.6. Let r = -0.6 + 0.6. Which is the nearest to 1? (a) 3/2 (b) n (c) r a Let u = -2 + 5. Let y = 5 - u. Which is the closest to 1/4? (a) y (b) 4 (c) -3 a Let t = -16 + 21. What is the closest to 0.1 in -3, -0.2, t? -0.2 Let q = 1.67 - -0.03. Let i = 1.7 - q. Which is the nearest to i? (a) 4 (b) -1/6 (c) -1/3 b Suppose 0 = -14*y + 12*y + 10. Let h = -0.21 - -0.01. What is the nearest to 1 in h, y, 1/6? 1/6 Let g = -0.3 - -0.8. Suppose -5*n + 43 = 18. What is the closest to 0 in g, 0.2, n? 0.2 Let i = 0.1 + 1.9. Suppose 4 = 3*f + w - 12, 0 = -5*f + 2*w + 12. Let p be (-78)/378 - f/18. Which is the closest to i? (a) -1/7 (b) p (c) -0.3 a Let h = -1.6 - -1.4. What is the closest to 0.2 in 4, h, -3? h Let v be ((-15)/4)/((-9)/3). Let d be -4*(2 - 2505/1211). Let q = d - -2/173. Which is the closest to 2/7? (a) v (b) q (c) -0.4 b Let m = 10.3 - 10. Let r = 28.94 + -29. What is the nearest to -0.1 in 5, r, m? r Let p = 61 + -61.2. What is the nearest to -0.1 in 1/2, p, 3? p Let d = -9 - -9.4. Which is the nearest to 0? (a) 10 (b) d (c) -2 b Let d = -7 + 10. Let y be 3/2 + (-2)/(-4). Which is the closest to y? (a) -0.3 (b) d (c) 4 b Let v = 16/19 - 170/247. What is the closest to -2 in 1/2, -0.5, v? -0.5 Let i = 0.2 + -0.08. Let k = -0.08 - i. Which is the nearest to 0? (a) k (b) -5 (c) -1/2 a Let p = 0.1 - 0. What is the nearest to 0.1 in 1, -4, p? p Let p be (-4)/(-2) - (6 + -7). Let x be (p + (0 - 2))*-5. What is the nearest to x in 0.2, 4, -0.4? -0.4 Let w = 0.698 - 1.698. Let h = 0.9 - -0.1. What is the closest to w in h, 0.3, -1? -1 Let o be (-3)/4*(-2)/15. What is the nearest to -4 in 5, o, -3/2? -3/2 Let f = 24.4 - 24. Let d = 0.6 + -0.5. Which is the closest to d? (a) f (b) 1 (c) -5 a Let h = -56 + 60. What is the closest to -1/6 in -1, 0.2, h? 0.2 Let q = -2.03 - -0.03. Let l = 16 + -14.1. Let x = l - 2. Which is the nearest to x? (a) 4 (b) -0.5 (c) q b Let z be 2 + -1 + (-9)/7. Let q = 2.9 - 2.7. Which is the nearest to q? (a) z (b) 0 (c) 5 b Let w = -15.7 - -20.7. Let a = 5 + -3. Let y be a*(1/2 + -1). What is the closest to 0 in y, 0, w? 0 Let s = 0 + -3. Let b be s*4/(-18) - 1. Let u = -8.2 - -8. What is the nearest to u in -0.3, 3, b? -0.3 Let l = -0.2 - -0.12. What is the nearest to l in -4, 5, 3/8? 3/8 Let z = 148 - 143. Let w = 0 + -0.2. Let o = 0 - -0.1. Which is the nearest to o? (a) w (b) -1 (c) z a Suppose 0 = 2*x + 4 + 2. Let q = 15.1 - 16. Let m = q + -3.1. What is the closest to 2/7 in m, x, 3? 3 Let s = -4 - -8. Let i = 3.2 + -7.3. Let p = i - -4. Which is the nearest to p? (a) 0 (b) s (c) -2 a Let s = 0.58 - 0.08. Which is the nearest to 1/10? (a) 5 (b) 0.04 (c) s b Let w = 9 + -10. Which is the nearest to 0.1? (a) -2/9 (b) 0.1 (c) w b Let v = 0.377 + 0.023. Which is the nearest to 0.1? (a) v (b) 3 (c) 2 a Let n = 0 - -0.2. Let q = -20 + 18. Let f be q/5 - (-104)/(-65). What is the closest to n in 0, -1, f? 0 Let s = 8.2 + -9. Let p = s + 1. Which is the closest to -1? (a) p (b) -1 (c) 2/11 b Let f = -0.6 - -3.6. Let o = -1 - -0.98. Let q = 3.98 - o. What is the nearest to 1 in f, 0.3, q? 0.3 Let o be 3 + (-6)/(72/44). Let v be (-357)/(-18)*-2 + -2. Let d = v + 42. Which is the nearest to o? (a) 0.5 (b) d (c) 2 b Let d = 0.6 + -1.1. Let p = d + 0.3. Let m = p + 1.2. What is the closest to -0.2 in m, -2/15, -5? -2/15 Suppose y = 5*y - 5*q + 25, q = 2*y + 11. Let t(f) = -f**3 - 1. Let n be t(1). Let g be ((-2)/12)/(n/(-8)). Which is the nearest to g? (a) y (b) 0.2 (c) 0.1 c Let v = -10 - -14. Let f = 0.175 + 1.885. Let x = 0.06 - f. Which is the closest to x? (a) 0.2 (b) -0.4 (c) v b Let d = -0.1 + -0.1. What is the nearest to 0 in -2/19, 1, d? -2/19 Suppose -4*k = n - 28, 5*n = -3*k + 31 + 7. Suppose -6 - k = -3*v. Let y = 1 + -0.9. Which is the closest to y? (a) v (b) 2 (c) -2/3 c Let t(n) = n**3 + 5*n**2 + 4*n + 3. Let o be t(-4). Suppose 0 = -2*w, -o*w + 4 = 4*g - 0. Which is the nearest to 1? (a) -2 (b) g (c) -5 b Suppose -12*m + 5 = -7*m. Which is the nearest to 0? (a) 0 (b) -8 (c) m a Let w(u) = -4*u**3 - u**2 + 2*u + 1. Let x be w(-1). Let m = 1 + -5. Which is the closest to 1? (a) m (b) -3/5 (c) x c Let t = -5 - -4.6. Let h = 86/147 - -4/49. Let k = -5 + 4. What is the nearest to h in t, k, 0.5? 0.5 Suppose 2*x - 44 = -3*h + 50, x = -4*h + 127. Suppose -24 - h = 4*y. Let z be 9/y*6/9. Which is the closest to -0.1? (a) 1 (b) z (c) -1/2 b Let v = -0.22 - -0.42. Let q = v + 0.2. What is the closest to 0.3 in q, 1/3, -2? 1/3 Let j = 5 - -9. Let h = j + -13.6. Let v = 0.2 - 0.3. Which is the closest to v? (a) h (b) -0.2 (c) -3 b Suppose -j - 23 = 4*u, 2*j - 19 = -u + 6*u. Let x = -3 - -3.1. Which is the nearest to x? (a) 0.2 (b) -3 (c) u a Let s be (5/20)/(4/(48/(-33))). What is the nearest to -4 in -0.1, s, 4/7? -0.1 Let q = 0.5 + -0.48. Let l = q + -0.02. Let u be 1/2 + 0/(-3). Which is the closest to u? (a) -1/11 (b) 2/5 (c) l b Let y(h) = -6*h
{ "pile_set_name": "DM Mathematics" }
f -1033*r**6/30 + r**3/3 + 497*r**2/2 - 1036*r. Find the second derivative of s(x) wrt x. -12396*x**2 Let d(x) be the first derivative of -19/3*x**3 + 0*x**2 + x + 140 + 33*x**4. What is the third derivative of d(i) wrt i? 792 Find the second derivative of 2*u**3 + 307440*u - 307441*u - 892 + 5895*u**4 - 2*u**3 wrt u. 70740*u**2 Let s = -657 + 663. What is the derivative of -2*x**2 + 9*x**4 + s - 29 - 64*x**4 - 45 - 10 wrt x? -220*x**3 - 4*x Let u(r) = -r**3 - r**2 + r + 2. Let m(s) = -260*s**3 + 18*s**2 - 9*s + 15. Let t(w) = -m(w) - 6*u(w). Find the third derivative of t(d) wrt d. 1596 Suppose 0 = -30*t + 31*t - 6. Suppose 0 = -5*x + 8*x - t. Find the second derivative of 1 - 1 - 1613*i**x + 1601*i**2 - i wrt i. -24 Let u(y) be the first derivative of 517*y**3 + 2139*y - 3527. What is the first derivative of u(d) wrt d? 3102*d Let o(h) be the second derivative of -154*h + 0 + 0*h**3 - 23/6*h**4 + 0*h**2 - 57/10*h**5. What is the third derivative of o(g) wrt g? -684 Let x(r) = -362*r**3 - 9*r**2 - 149*r - 10. Let f(o) = 543*o**3 + 14*o**2 + 223*o + 16. Let j(i) = -5*f(i) - 8*x(i). What is the third derivative of j(l) wrt l? 1086 Let g(k) = 43*k + 474. Let h be g(-9). Find the second derivative of -26*p + 8*p + 223*p**2 + 52*p + h*p wrt p. 446 Differentiate 203 - 294 + 16*o**2 - 824 + 5487*o**2 wrt o. 11006*o Let m(u) be the second derivative of -1531*u**3/3 - 1751*u**2 + 4*u - 6. Find the first derivative of m(n) wrt n. -3062 Let a = -186 + 274. Let k be a/33*(35/4 + -2). Differentiate 4*u**2 - 37 + 17 + k wrt u. 8*u Find the second derivative of 95*k - 1812*k**5 - 47 - 58 + 107 wrt k. -36240*k**3 Let v(g) be the third derivative of 13*g**6/30 + 41*g**3 + 78*g**2 - 4. Differentiate v(j) with respect to j. 156*j**2 Let c(h) be the first derivative of 996*h**5/5 + 3089*h**3/3 - 1885. Find the third derivative of c(s) wrt s. 23904*s Let i(q) be the first derivative of 13*q**4/2 + 50*q**3/3 - 3946*q - 218. Find the first derivative of i(n) wrt n. 78*n**2 + 100*n Find the third derivative of 213*b**4 - 541*b**3 - 546*b**3 - 544*b**3 + 1634*b**3 - 4322*b**2 wrt b. 5112*b + 18 Let y = -265 + 279. Let m = 6 - 4. What is the second derivative of 21*d**2 + y*d**4 - 21*d**m + 14*d wrt d? 168*d**2 What is the second derivative of -220*d**2 - 9400111 + 9400111 + 231*d + 1222*d wrt d? -440 Let g(y) be the second derivative of 2503*y**7/42 + 151*y**4/4 + 1564*y. Find the third derivative of g(u) wrt u. 150180*u**2 Suppose 10*i - 26 = 4*i - 2. Let o(t) be the second derivative of -15*t - 1/2*t**2 + 0*t**i + 0 - 1/10*t**5 + 0*t**3. Differentiate o(f) wrt f. -6*f**2 Find the third derivative of 2 - a**2 - 152*a**3 + 302*a**6 - 311*a**6 - 5*a - 73*a**3 + 1 wrt a. -1080*a**3 - 1350 Let g(r) be the first derivative of -135 + 38/3*r**3 + 0*r + 0*r**2 + 0*r**4 + 31/5*r**5. Find the third derivative of g(z) wrt z. 744*z Find the first derivative of 3*n**3 + 377 - 2338*n + 2338*n - 782*n**3 wrt n. -2337*n**2 Let v(r) = -r**4 + 3*r**3 + r**2 + r - 2. Let h(l) = 3*l**4 - 12*l**3 + 9*l**2 + 166*l + 4406. Let z(g) = h(g) + 4*v(g). What is the derivative of z(b) wrt b? -4*b**3 + 26*b + 170 Let l(j) = -j - 3. Let r be l(-3). Let g = 17 - r. Find the second derivative of -5 - g*c + 5 - 10*c**3 wrt c. -60*c Let j be 5/(-3) + (-28)/(-42). Let o = j + 3. What is the derivative of 2*h**o - h**2 - 19 - 13*h**3 - h**2 wrt h? -39*h**2 Let v(h) = -291*h**4 + 93*h**2 + 11*h. Let d(o) = -147*o**4 + 46*o**2 + 6*o. Let c(r) = 9*d(r) - 4*v(r). What is the third derivative of c(n) wrt n? -3816*n Let g(o) be the third derivative of 95*o**8/56 - 1891*o**5/20 - 2*o**2 - 2*o + 32. Find the third derivative of g(h) wrt h. 34200*h**2 Find the third derivative of 930*m**6 - 11 + 1384*m**6 + 2790*m**6 - 2*m**2 wrt m. 612480*m**3 Let s be (0 - (-12)/(-20))/(3/(-15)). Differentiate u + 11*u - 18*u + 54 + 8*u - s*u**3 with respect to u. -9*u**2 + 2 Let m(d) be the second derivative of 6473*d**5/20 + 613*d**4/2 + 13*d + 89. What is the third derivative of m(p) wrt p? 38838 Let p(a) = -4*a + 13. Let h be p(0). Let j = -7 + h. What is the second derivative of 13*i**4 - 11*i + j*i + 3*i wrt i? 156*i**2 What is the derivative of 178*z**3 + 751 + 534 - 45*z + 45*z wrt z? 534*z**2 Let z be (2 + 4)*(-4)/(-6). Suppose 6 = -2*d + 3*m + 2, -4*m + 12 = 4*d. What is the first derivative of -z*c**3 - 8*c**3 - d - 14 - 7 wrt c? -36*c**2 Find the second derivative of -7 + 2059*a**4 - 134*a + 119*a + 48*a**4 wrt a. 25284*a**2 Suppose -6 = -16*x + 14*x. Suppose x*w = 4*w - 44. What is the third derivative of w*t**2 - 304*t + 304*t + 25*t**5 wrt t? 1500*t**2 Let q(n) be the second derivative of 2645*n**3/2 - 1387*n**2 - 48*n + 57. What is the derivative of q(w) wrt w? 7935 Let n(u) be the second derivative of -512*u**3/3 - 554*u**2 - 112*u - 5. Differentiate n(i) with respect to i. -1024 Let s(c) = 1006*c - 3063. Let j(u) = -1006*u + 3048. Let b(m) = 4*j(m) + 3*s(m). Find the first derivative of b(y) wrt y. -1006 Let g(o) be the first derivative of -6344*o**5/5 - 617*o - 971. Differentiate g(w) with respect to w. -25376*w**3 What is the derivative of -2841*t**3 + 668 - 1384*t**3 + 6059*t**3 wrt t? 5502*t**2 Let k(n) = -700*n - 1722. Let m(r) = r + 23. Let t(f) = -k(f) + 3*m(f). Find the first derivative of t(a) wrt a. 703 Let i(z) be the first derivative of z**6/2 + z**5/5 - 35*z**4/4 - 2143*z**3 - 6466. What is the third derivative of i(p) wrt p? 180*p**2 + 24*p - 210 Find the second derivative of 7690*d**2 - 15393*d**2 - 52*d**4 - 3 + 7685*d**2 + 116*d wrt d. -624*d**2 - 36 Let w(z) be the second derivative of 0*z**3 + 0 + 259/12*z**4 - 3*z**2 - 196*z. What is the first derivative of w(h) wrt h? 518*h Let p(m) be the second derivative of 1017*m**4/2 + 11*m**3/6 + 37*m**2 - 8068*m. Find the second derivative of p(c) wrt c. 12204 Let p(l) be the first derivative of -3*l**5/5 - 43*l**4/2 + 509*l**2 + 695. Find the second derivative of p(j) wrt j. -36*j**2 - 516*j Let w(v) be the first derivative of 78 - 13/4*v**4 + 0*v**2 + 0*v - 119/3*v**3. What is the third derivative of w(r) wrt r? -78 Let l(k) be the first derivative of -k**6 - k**5/10 + 24*k**2 - 63*k - 50. Let d(a) be the first derivative of l(a). Find the first derivative of d(i) wrt i. -120*i**3 - 6*i**2 What is the second derivative of 811*d**3 + 7857*d + 8821*d**2 + 8813*d**2 - 17638*d**2 wrt d? 4866*d - 8 Let x(v) = -1640*v**2 - 3175*v - 6. Let t(u) = 3282*u**2 + 6358*u + 14. Let r(d) = -3*t(d) - 7*x(d). Find the second derivative of r(f) wrt f. 3268 Suppose -2*c = 8*k - 13*k - 23, -5*c - 5*k + 145 = 0. What is the second derivative of 2 - 107*q**2 - 2 - 21*q**2 + c*q + 15*q - 2 wrt q? -256 Let m be (-8)/36 - (-74)/9. What is the second derivative of m*k + 14*k**3 - 9*k**3 - 40*k**3 - 10*k**3 wrt k? -270*k Let k be (-6)/(-12) - 262/(-4). Let s = -48 + k. What is the second derivative of -6*c**2 + s*c**2 - 7*c**2 - 6*c + 10*c**2 wrt c? 30 Let j(t) be the first derivative of -26*t**5/5 + 2*t**4 + 15*t**2 - 3*t + 1221. Find the second derivative of j(q) wrt q. -312*q**2 + 48*q Differentiate -1497*i - 2063*i - 1749*i - 286 + 4729*i with respect to i. -580 Suppose 4 - 8 = -2*n. Let v = -470 + 476. Differentiate 12 + v*p**2 - 4*p**2 + 11*p**2 - 4*p**n wrt p. 18*p Let o(f) be the first derivative of f**4/12 - f**3/3 + 37*f**2/2 + 61*f + 46. Let m(k) be the first derivative of o(k). Differentiate m(v) wrt v. 2*v - 2 Suppose r - 6*d - 13 = -d, 3*r = -3*d + 21. Find the second derivative of 233*a**4 - 5 - 88*a + r - 3 wrt a. 2796*a**2 Let z be 0/(-2 - (-4 - 0)). Suppose i + 5*o - 2 = 0, -3*o = 3*i - z*o - 6. What is the derivative of 20 - 15*u**2 + 3*u**2 + 5*u**i wrt u? -14*u Let g(f) be the third derivative of 0*f**3 + 13*f**2 - 4*f - 49/60*f**6 + 31/12*f**4 + 0*f**5 + 0. Find the second derivative of g(p) wrt p. -588*p Let c(t) = -15*t**2 - 2*t**2 - 4*t + 8*t**2 - 14*t**2 - 2. Let g(i) = 22*i**2 + 5*i + 1. Let p(y) = -6*c(y) - 5*g(y). Find the second derivative of p(n) wrt n. 56 Let q(f) be the second derivative of -23/3*f**4 + 0*f**3 - 40 + 169/2*f**2 + 2*f. What is the derivative of q(s) wrt s? -184*s Differentiate -118*i**4 - 116*i**4 + 572317 - 569755 with respect to i. -936*i**3 Let r(s) = 2*s**4 - 207*s**2 + 616*s. Let f(v) = -6*v**4 + 620*v**2 - 1849*v
{ "pile_set_name": "DM Mathematics" }
Put -5, -4, 339, 5, 2 in decreasing order. 339, 5, 2, -4, -5 Sort 6, 4, 5 in ascending order. 4, 5, 6 Sort -1, -26, -4, -5, -2 in descending order. -1, -2, -4, -5, -26 Put -6, 5, -41, 1, -1 in decreasing order. 5, 1, -1, -6, -41 Put -57, 3, -2, 4 in descending order. 4, 3, -2, -57 Put -947, 5, -3 in descending order. 5, -3, -947 Sort 2, -105, 23 in ascending order. -105, 2, 23 Sort 2, 394, 0 in decreasing order. 394, 2, 0 Put 0.1, -1/7, 4, 124 in ascending order. -1/7, 0.1, 4, 124 Sort 10/11, -1, 2/11, 3/5. -1, 2/11, 3/5, 10/11 Sort 4, 3, 12, -9, 2. -9, 2, 3, 4, 12 Put 2, -4, -5 in increasing order. -5, -4, 2 Put 0, -5, -3, 0.5, 30 in increasing order. -5, -3, 0, 0.5, 30 Sort -5, -43, 1, -4 in decreasing order. 1, -4, -5, -43 Sort -1, 2, -3. -3, -1, 2 Put -1/2, 0.101, -1/3, 1 in descending order. 1, 0.101, -1/3, -1/2 Put -5/3, 0.1, 2, 0.02, -5 in descending order. 2, 0.1, 0.02, -5/3, -5 Sort 2/3, 104, 2, -1 in decreasing order. 104, 2, 2/3, -1 Put -4, 3, 8, -2 in increasing order. -4, -2, 3, 8 Sort -2, 31, -6 in increasing order. -6, -2, 31 Sort 4, 0.3, 1/11 in descending order. 4, 0.3, 1/11 Put -0.1, 0, 2, 49 in decreasing order. 49, 2, 0, -0.1 Put -4, -2, -16, 4 in increasing order. -16, -4, -2, 4 Put 2/19, 8, 1/4, -5 in decreasing order. 8, 1/4, 2/19, -5 Sort 62, -1, 5, 0, -3 in increasing order. -3, -1, 0, 5, 62 Sort 15, -3, -182. -182, -3, 15 Sort 1, 2, -7, 4/7. -7, 4/7, 1, 2 Sort -2/5, 16, 0.3, -0.1, 3/8. -2/5, -0.1, 0.3, 3/8, 16 Sort 3, -4, 11, -63. -63, -4, 3, 11 Put -3/4, -15, -0.1 in increasing order. -15, -3/4, -0.1 Sort 0.4, -47, -3/8, -3. -47, -3, -3/8, 0.4 Put -0.09, -0.29, -0.5 in descending order. -0.09, -0.29, -0.5 Put 2, -4, -3, 5 in decreasing order. 5, 2, -3, -4 Put 8, 1, 0.4, -2/13 in increasing order. -2/13, 0.4, 1, 8 Sort 0.01, -2/7, 3/2, 3. -2/7, 0.01, 3/2, 3 Sort 4, 12/5, -4, -3, -1 in ascending order. -4, -3, -1, 12/5, 4 Put -3, 5/2, 1, -0.4 in ascending order. -3, -0.4, 1, 5/2 Sort -1, -96, 4. -96, -1, 4 Put 3/7, -3, 1001, -1 in descending order. 1001, 3/7, -1, -3 Sort 28, -3, 5 in ascending order. -3, 5, 28 Put -7/115, 1, -3/7 in increasing order. -3/7, -7/115, 1 Sort 4, 3, 12/13 in increasing order. 12/13, 3, 4 Sort 2/25, 0.3, 0.2, 5, 0.105 in decreasing order. 5, 0.3, 0.2, 0.105, 2/25 Put 0.2, -0.09, 1/6, -14 in increasing order. -14, -0.09, 1/6, 0.2 Put -2, -3, 4 in descending order. 4, -2, -3 Put 5/3, -2, 1/5, -3 in ascending order. -3, -2, 1/5, 5/3 Put 3/8, 0.4, 4.438 in increasing order. 3/8, 0.4, 4.438 Put -4/9, 0.2, -6, -1 in decreasing order. 0.2, -4/9, -1, -6 Put 10, -2, 0.5, -0.13 in decreasing order. 10, 0.5, -0.13, -2 Sort -8, -9, 5 in decreasing order. 5, -8, -9 Sort -22, -7, -4. -22, -7, -4 Sort -1/2, 1, 4/11 in descending order. 1, 4/11, -1/2 Sort 12, -1, -5, -2/3. -5, -1, -2/3, 12 Sort -2/7, -4, 126, 4. -4, -2/7, 4, 126 Sort -3, -76, -1/2 in increasing order. -76, -3, -1/2 Sort 30/13, 1, 2/9, -0.5, -6 in decreasing order. 30/13, 1, 2/9, -0.5, -6 Sort 3, -2764, 0 in descending order. 3, 0, -2764 Put 0.3, -11, 1/2 in ascending order. -11, 0.3, 1/2 Put -13, 5, -5, -3, 4 in descending order. 5, 4, -3, -5, -13 Put 9, 0, -11 in ascending order. -11, 0, 9 Sort -3, -2, 0 in increasing order. -3, -2, 0 Sort 8, 3, 0.2. 0.2, 3, 8 Sort -3, 1, -4, 2 in decreasing order. 2, 1, -3, -4 Put 14, 0.4, -3, 0, 4 in ascending order. -3, 0, 0.4, 4, 14 Sort 0, -0.1, -1, 1, 2/11. -1, -0.1, 0, 2/11, 1 Put 7, 2, 6 in decreasing order. 7, 6, 2 Sort -4, -2, -12. -12, -4, -2 Sort 5, 468, 4. 4, 5, 468 Sort -4, -20, -12, 0, -1 in ascending order. -20, -12, -4, -1, 0 Put 11, -2, -4, -0.4, -0.5 in decreasing order. 11, -0.4, -0.5, -2, -4 Put 0, -0.3, 9/14 in increasing order. -0.3, 0, 9/14 Put -2, -525, 4 in increasing order. -525, -2, 4 Sort 4, -13, -7, -2. -13, -7, -2, 4 Put 2/15, 5, 28, -4, 1/9 in increasing order. -4, 1/9, 2/15, 5, 28 Put -2, 0.3, 0, 60 in ascending order. -2, 0, 0.3, 60 Put 1, -2/9, -3, -17/4 in increasing order. -17/4, -3, -2/9, 1 Sort -4, -50, 4, -2 in increasing order. -50, -4, -2, 4 Sort -6/5, -5, 149, 1/9, -3 in descending order. 149, 1/9, -6/5, -3, -5 Sort 3, 12, -1, -3 in decreasing order. 12, 3, -1, -3 Sort 26, -4, -3. -4, -3, 26 Put 3, 1, 2, 132 in descending order. 132, 3, 2, 1 Sort -17.7, 3, 0.2, -2 in descending order. 3, 0.2, -2, -17.7 Sort -3, 3, 9, 33 in ascending order. -3, 3, 9, 33 Put 5, -4, -145 in decreasing order. 5, -4, -145 Sort -4, 2, -5, 0 in ascending order. -5, -4, 0, 2 Sort -10, -54, -4/5 in ascending order. -54, -10, -4/5 Sort -1/14, 2/9, 0, -10, 0.05 in increasing order. -10, -1/14, 0, 0.05, 2/9 Sort -15, -0.06, 1, 2/3. -15, -0.06, 2/3, 1 Sort 5, 2/7, -6, -5, 14. -6, -5, 2/7, 5, 14 Sort 17, 7, 4 in increasing order. 4, 7, 17 Sort 7, 2/5, -5, 0, 6/7 in increasing order. -5, 0, 2/5, 6/7, 7 Sort -75, -5, 3, 27 in increasing order. -75, -5, 3, 27 Put -5, -3, -236, -4 in descending order. -3, -4, -5, -236 Sort 2, -5, 1/3, -2/11, 7. -5, -2/11, 1/3, 2, 7 Sort 1, -26, 4 in increasing order. -26, 1, 4 Put -3, -18, 3 in decreasing order. 3, -3, -18 Sort 1, 93, 5. 1, 5, 93 Put 4/7, 7, -3/7, 3 in decreasing order. 7, 3, 4/7, -3/7 Sort 166, 6, 2, 5, -1 in descending order. 166, 6, 5, 2, -1 Sort -18, -0.4, 6, -1/2, 0.2 in descending order. 6, 0.2, -0.4, -1/2, -18 Sort 0.2, -1/44, -0.3, -2, 0. -2, -0.3, -1/44, 0, 0.2 Sort 4, 6, -5, 0 in ascending order. -5, 0, 4, 6 Sort 1, -5, 5, 7 in ascending order. -5, 1, 5, 7 Sort 5, 12, 2619 in descending order. 2619, 12, 5 Put 420, -4, 3 in descending order. 420, 3, -4 Sort 2, 3, -175. -175, 2, 3 Sort 3713, -5, -4, -3, 4. -5, -4, -3, 4, 3713 Sort 3, 5, 8 in decreasing order. 8, 5, 3 Sort 1, -2, 8. -2, 1, 8 Put -2, -3, -0.9, 0 in descending order. 0, -0.9, -2, -3 Sort 1, 3, -2, 162 in increasing order. -2, 1, 3, 162 Put 12, 5, 0 in ascending order. 0, 5, 12 Sort 155, -4, -5, -1 in decreasing order. 155, -1, -4, -5 Sort 3, 5, 196, 1, 0 in ascending order. 0, 1, 3, 5, 196 Sort -1, 5, 3, -4 in increasing order. -4, -1, 3, 5 Put -16, 4, -2, 0 in descending order. 4, 0, -2, -16 Put -16, 5, 1 in increasing order. -16, 1, 5 Put -2, 14, -0.1, 1 in ascending order. -2, -0.1, 1, 14 Sort -8, 3, 5, 0, 1 in descending order. 5, 3, 1, 0, -8 Sort -3/7, -2/3, 42.8 in increasing order. -2/3, -3/7, 42.8 Put 1, 7, 2, -2 in ascending order. -2, 1, 2, 7 Put 6, 4, 1, -4 in ascending order. -4, 1, 4, 6 Put 2, 5, 1, 867 in decreasing order. 867, 5, 2, 1 Put -2, -166, 0 in ascending order. -166, -2, 0 Sort 0, 5, 9, 4 in decreasing order. 9, 5, 4, 0 Sort -3, -19, 1, 0. -19, -3, 0, 1 Sort -1, 3, 63 in descending order. 63, 3, -1 Sort 5, 10, -5, 29 in ascending order. -5, 5, 10, 29 Put 52, 3, 5, 1, -2 in decreasing order. 52, 5, 3, 1, -2 Sort 0.4, -2/7, 2/7, 0. -2/7, 0, 2/7, 0.4 Sort -3, 6, 0, 20 in ascending order. -3, 0, 6, 20 Put 51, 0, 1/2 in increasing order. 0, 1/2, 51 Sort 12, 317, 4, -2. -2, 4, 12, 317 Sort 226, 5, 0.1 in descending order. 226, 5, 0.1 Sort 25, 5, 1 in ascending order. 1, 5, 25 Sort 0.143, 1, 2/7, 0.09 in increasing order. 0.09, 0.143, 2/7, 1 Put -342, 2/5, -0.5, -0.1, 2 in increasing order. -342, -0.5, -0.1, 2/5, 2 Sort 3/5, -5, 2, 5 in ascending order. -5, 3/5, 2, 5 Put -0.19, -0.3, -2/3, -0.1, 0.4 in decreasing order. 0.4, -0.1, -0.19, -0.3, -2/3 Sort 2, -2, 5, 17 in ascending order. -2, 2, 5, 17 Put -0.5, -3, 2, 5, -2 in descending order. 5, 2, -0.5, -2, -3 Sort -4, 5/9, -0.14, 1 in descending order. 1, 5/9, -0.14, -4 Put 1, 12, 6 in decreasing order. 12, 6, 1 Sort 0, 1, 10, -1. -1, 0, 1, 10 Put -5, 2, 1, -3 in ascending order. -5, -3, 1, 2 Put -0.1, -0.5, 6, -2/11, -1 in ascending order. -1, -0.5, -2/11, -0.1, 6 Sort 0.4, 0.5, -12, 0. -12, 0, 0.4, 0.5 Sort 40, -1, 3 in increasing order. -1, 3, 40 Put -0.5, -2/21, -148 in ascending order. -148, -0.5, -2/21 Sort -4, 2/3, 2/7, -0.024 in ascending order. -4, -0.024, 2/7, 2/3 Sort 3/5, 9/107, 1/7 in descending order. 3/5, 1/7, 9/107 Sort 12, -2, -4 in decreasing order. 12, -2, -4 Put -5, -44, -0.9, -0.1 in descending order. -0.1, -0.9, -5, -44 Put -4, -2, 3, -144 in descending order. 3, -2, -4, -144 Sort 14, 0, -6 in descending order. 14, 0, -6 Put 0, 3, 13 in ascending order. 0, 3, 13 Sort 0, 1/116, -2/7, 2 in ascending order. -2/7, 0, 1/116, 2 Put -1, -43, -0.12 in ascending order. -43, -1, -0.12 Put 1,
{ "pile_set_name": "DM Mathematics" }
-k**5/20 + 7*k**4/12 - k**3 - k**2 + 2*k. Calculate q(p). -2 Let v(n) = -2*n + 1. Let j be ((-56)/(-10) + -6)/((-2)/10). What is v(j)? -3 Let l(z) = z**3 - 5*z**2 - z + 1. Suppose -t = -m, 0 = -0*m - 2*m + 4*t - 10. What is l(m)? -4 Let c = -24 - -27. Let y(b) = -5*b**3 + 3*b**2 - 2*b - 15. Let x(m) = -2*m**3 + m**2 - m - 7. Let g(r) = 7*x(r) - 3*y(r). Calculate g(c). 2 Let g(r) be the first derivative of r**5/20 + 5*r**4/12 - r**3 + 3*r**2/2 - 6*r + 5. Let m(u) be the first derivative of g(u). Determine m(-6). 3 Let i(y) be the first derivative of -y**3/3 + 7*y**2/2 - 6*y + 66. Let g be (-3)/(7/(-4) + 1). What is i(g)? 6 Suppose 0*u - 4*u - 2*h = -14, 2*u + 5 = -5*h. Suppose -4*j = -u*j. Let f(g) = j - g + 1 + 1. Determine f(-2). 4 Let j(p) = -15*p**2 + p + 1. Let s = -1 + 0. Determine j(s). -15 Let s(r) be the first derivative of -2*r**3/3 - 3*r**2/2 + 4*r + 20. Give s(3). -23 Suppose 1 = 4*v - 7. Let r(b) = -b**2 - v*b + b**2 - 2*b**2. Let m(s) = -s. Let g(q) = -5*m(q) + r(q). Give g(2). -2 Let w(u) = 4*u - 2. Let g be w(4). Suppose n + 2*n + 3*k + 6 = 0, -3*k = -n - g. Let i(q) = -q - 9. Calculate i(n). -4 Let s = 1 + 0. Let t(q) = q**2 + q. Determine t(s). 2 Let p(o) = 4*o**2 + 24*o + 2 - 18*o - 3*o**2. Let q = -12 - -7. Give p(q). -3 Let m be (1 - 6/(-4))/(25/(-50)). Let i(d) = -d - 6. Determine i(m). -1 Suppose 0 = 3*c + t - 5, -5*c - 3*t - 2*t + 5 = 0. Let r = c - -1. Let k(l) = r - 2*l**2 + l + 4*l**3 - l**2 - 5*l**3. Give k(-3). 0 Let f = 19 + -22. Let u(i) = -i - 4. Determine u(f). -1 Let g(a) = 11*a**3 - 6*a**2 + 13*a + 2. Let c(k) = 5*k**3 - 3*k**2 + 6*k + 1. Let v(f) = 9*c(f) - 4*g(f). Determine v(2). 1 Let k(l) = -7*l + 10. Let u(q) = -q + 1. Let f(y) = -k(y) + 6*u(y). Give f(0). -4 Suppose 0 = s + 4*f + 15, 2*s - f + 2 = -2*f. Let x(o) = -22*o**3 + o**2. Give x(s). -21 Let h(p) = p**2 - 8*p - 12. Let l = -29 - -38. Determine h(l). -3 Let u(r) be the first derivative of -r**4/4 + 4*r**3/3 + 2*r**2 - 5*r - 20. Calculate u(4). 11 Let r(y) be the second derivative of -y**3/6 - y**2/2 + 21*y. Give r(6). -7 Let c(r) = -2*r + 12. Let f be c(4). Let o = f - 1. Let p(w) = 3*w**2 - 2*w + w**3 + 0*w**3 - 2*w**3. Give p(o). -6 Let p = -38 + 44. Let s(x) = x**2 - 7*x + 9. Give s(p). 3 Let x = 2 - 7. Suppose 2*n + 1 - 9 = 0. Let s(k) = -n + k + 0*k + 0. What is s(x)? -9 Let n(i) = i + 2. Let m = -28 - -26. Let g be (-1)/m*140/(-14). Calculate n(g). -3 Let x(s) = s**2 - s + 2. Suppose 5*y = -5*w - 30, w + 4*y - 2 = -20. Calculate x(w). 8 Let o(w) = w**2 + 10*w + 8. Let a = 6 - 15. Let t be o(a). Let p(c) = 3*c**3 + 2*c**2 - 1. Give p(t). -2 Suppose 5*a - 6 = 4. Let m = a - 1. Let t(j) = 1 + m + 1 - 2*j. Calculate t(3). -3 Let k(u) = u**2 + 6*u - 3. Suppose 0 = 3*s - j + 6*j - 12, 0 = -3*s + 3*j + 12. Suppose -s*a + 21 - 41 = 0. What is k(a)? -8 Let g(d) = d**2 - 5. Let n be g(0). Let y be (0 + 2)*(7 + n). Let b = -5 + y. Let r(p) = -3*p**3 - 2*p**2 - p. What is r(b)? 2 Suppose 2*x = -o - 6, 0 = -6*o + 3*o + 12. Let w(l) = -11*l - 11. Let d(q) = -5*q - 5. Let n(u) = -9*d(u) + 4*w(u). Determine n(x). -4 Let t(k) = k - 3. Let u be 7*(-1 + 0) - -1. Let v(g) = -g**2 - 8*g - 5. Let q be v(-5). Let z be q/u*(-5 - -2). Calculate t(z). 2 Let u(x) = -3*x - 1. Suppose -10 = k - 4. Give u(k). 17 Suppose -5*h + 0 = 15. Let v(a) = 3*a - 2 + 0 + 5. What is v(h)? -6 Let t = -3 - -7. Let c(p) = -t*p - 4*p - p. Suppose n - 1 = 2*o, 4*n + 5*o = -0 + 4. Determine c(n). -9 Let g(f) = 2*f - 18. Let d be g(9). Let x(k) be the first derivative of -2 + k**3 + 1/4*k**4 + 4*k + d*k**2. Calculate x(-3). 4 Let p be 4*(21/(-12))/(-7). Let t(v) = -11*v**2 - 4*v - 7. Let a(f) = 12*f**2 + 5*f + 8. Let k(n) = -6*a(n) - 7*t(n). Determine k(p). 4 Let z = 14 - 20. Let s(k) = -2*k - 9. Give s(z). 3 Let h(f) = -2*f + 3 - 6*f - 6 + 3*f**2 - 1 + f**3. What is h(-5)? -14 Suppose -2*x + 7*x = 5. Let j(n) = 4*n**2 - 1. What is j(x)? 3 Let d(o) be the first derivative of o**3/3 + o**2 + 20. Calculate d(-3). 3 Let k(a) be the third derivative of -a**5/60 + a**4/3 - 5*a**3/6 + 6*a**2. Determine k(6). 7 Let q(k) = k**2 - 4*k. Let j be q(5). Let y(s) = -s**3 + 5*s**2 + s - 7. What is y(j)? -2 Let t be 170/30 + (4/(-3))/2. Let x(p) be the second derivative of -p**4/12 + 2*p**3/3 + 2*p**2 - p. Calculate x(t). -1 Let r(b) = -2 - b + 0*b - b. Let v = 8 - 4. Suppose -v*z + 7*z + 2*i + 21 = 0, 5*z = -3*i - 34. Determine r(z). 8 Let w(n) = n - 5. Let b(c) = -3*c + 14. Suppose 6*k + 40 = k. Suppose 0 = -3*r - 8 - 1. Let q(z) = k*w(z) + r*b(z). Determine q(4). 2 Let s(z) = 4*z + 2*z + 1 - 3*z. Suppose 0 = -2*b + 14*o - 17*o + 1, 2*o = 3*b - 8. Calculate s(b). 7 Let u = 5 - 2. Let o = 6 - 5. Let n = o + u. Let l(i) = i. What is l(n)? 4 Let v(f) be the first derivative of f**2 + 2 + 1/3*f**3 - 3*f. Let b be 8*((-14)/(-4))/(-7). Give v(b). 5 Let a(d) = d**3 - 6*d**2 + 6*d + 2. Let l(b) be the second derivative of -b**5/20 + 7*b**4/12 + 5*b**2/2 - 3*b. Let w be l(7). Give a(w). 7 Let z(k) be the third derivative of -k**8/20160 - k**7/2520 - k**5/6 + k**2. Let m(s) be the third derivative of z(s). Calculate m(-2). 0 Let x(p) = p + 5. Let a be x(-3). Let z(r) = -r - a*r + r. Let y(s) = s**2 - 6*s. Let u be y(5). What is z(u)? 10 Suppose 2 + 3 = 5*d. Let r(x) = -d + x - x + x. Give r(-6). -7 Suppose -5*y = -3*y - 10. Suppose -y*u + 13 = 4*a - 3*a, 0 = 4*u + a - 11. Let s(p) = -p - 2 + 3*p + 4*p - 2*p**2 - u*p. Determine s(3). -8 Let k(v) = v**2 - 5*v + 7. Let w(t) = -t**3 - 12*t**2 - 12*t - 15. Let m be w(-11). Let a be m/6 + (-51)/(-9). Give k(a). 7 Let d(x) = 4 - 4*x - 3*x**2 - 5 + 0. Suppose 2*n = -3*s, 4*n - s - 4*s = -22. What is d(n)? -16 Let h(z) = 1 - 3 - z + 1. Let p(t) be the second derivative of -t**3/6 + 3*t**2 - 3*t. Let r be p(10). What is h(r)? 3 Let t(m) = -m + 2. Let y be t(-3). Let g(s) be the third derivative of s**6/120 - s**5/12 + s**4/24 - 5*s**3/6 + 2*s**2. Give g(y). 0 Let g(k) be the first derivative of k**3/3 - 11*k**2/2 + 15*k - 5. Give g(10). 5 Let o(y) be the first derivative of -2 + y - 3/2*y**2. Let j = 6 - 4. Calculate o(j). -5 Let z(t) = -t**3 - 3*t**2 + 2*t + 3. Let y(a) = -a**2 + a + 1. Let c(f) = 5*y(f) - 2*z(f). Let j = -4 - -5. Give c(j). 3 Let k = 0 + 2. Suppose -k = 3*r - 14. Let x(v) = -1 + r*v - 4*v + v. What is x(-5)? -6 Let c(s) be the third derivative of -s**5/60 + s**4/6 + s**3/2 - 24*s**2. Give c(5). -2 Let v(b) be the third derivative of -b**6/120 - b**5/60 - b**4/24 - b**3/6 + b**2. Suppose -2*m - 4*y = -14, -m - y = -7 + 1. Suppose m*a = a. Give v(a). -1 Let x(v) = -3*v**2 - 4*v - 3. Let a(f) = -f**2. Let n(r) = -4*a(r) + x(r). Calculate n(3). -6 Let h = 25/48 + -7/16. Let b(t) be the second derivative of -1/2*t**2 - h*t**4 + 0 + 1/3*t**3 + 3*t. What is b(3)? -4 Let z(y) be the third derivative of y**4/24 + y**3/2 + 3*y**2. Suppose u = 2*d - 0*u + 1, 4*u - 4 = 4*d. What is z(d)? 3 Suppose -z - 4 = 2*t, 9*z + 3*t - 15 = 4*z. Let w(g) = g - z + 2*g - 2*g + 15. Let y = -6 + 1. Give w(y). 4 Let l(c) be the second derivative of c**6/120 + c**5/12 + c**4/6 + c**3/2 + c**2/2 + 4*c. Let t(y) be the first derivative of l(y). Calculate t(-4). 3 Let c(p) = -12*p**3 + 2*p**2 - p. Suppose 0 = -k + l - 2 + 1, 3*l + 1 = 4*k. Suppose 3*j = -j + k. Calculate c(j). -11 Suppose 3*m - r = 3*r + 10, 4*r = 5*m - 14. Let c be (-1 + 3/m)*4. Let s(w) = -2*w**2 + 4*w**2 - 1 - 2*w + 2*w**c - w - w**3. Calculate s(3). -1 Let t = 42 + -44. Let h(f) = -8*f - 1. Determine h(t). 15 Let u(m) = -10*m - 4*m + 11 + 13*m. Give u(7). 4 Let p(o) = -o**3 + 3*o**2 + 5*o - 2. Let y be p(4). Suppose u + y*q = -0 + 2, 5*q = -4*u + 8. Suppose -6 = 2*k + u. Let l(h) = -2*h + 2. Calculate l(k). 10 Let y(h) = -6*h**3 + 2*h**2 - 5 - h**2 + 3 + 3 - h. Let i be -2*((-15)/6 + 2). Calculate y(i). -5 Let i(l) be the second derivative of -1/2*l**2 + 0 + 2*l - 1/6*l**3. Let z = -6 - -8. Determine i(z). -3 Let q(k) be the second derivative of -k**7/840 - k**6/180 + k**5/24 + k**4/12 - 4*k**3/3 + 7*k. Let d(n) be the second derivative of q(n). Calculate d(-4). 14 Let h(g) = g - 2. Let o(x) = -2*x**2 - x. Let m be o(2). Let u = -13 - m. What is h(u)? -5 Let o(w) = -3*w**3 - 1. Let f be o(-1). Let b(i) = i - i**f + 6*i - i. Let k be (-5)/(-4)*2*2. What is b(k)? 5 Let b(v) be the first derivative of v**4/4 - 2*
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {d: 1, n: 3, i: 9, j: 2, z: 2}? 9/85 What is prob of picking 1 b and 1 p when two letters picked without replacement from jvjjbpjcj? 1/36 What is prob of picking 2 o when two letters picked without replacement from dohoooshszoo? 5/22 Calculate prob of picking 4 q when four letters picked without replacement from {q: 4}. 1 What is prob of picking 1 v and 1 s when two letters picked without replacement from {j: 6, f: 1, v: 6, s: 4}? 3/17 Calculate prob of picking 3 r when three letters picked without replacement from aarrrrr. 2/7 Four letters picked without replacement from {y: 7, h: 6, s: 4}. Give prob of picking 3 s and 1 y. 1/85 Calculate prob of picking 2 d, 1 a, and 1 z when four letters picked without replacement from ddddaadzdzd. 14/55 Calculate prob of picking 2 k, 1 v, and 1 n when four letters picked without replacement from svknewkew. 1/126 Four letters picked without replacement from {x: 3, e: 3}. Give prob of picking 3 x and 1 e. 1/5 What is prob of picking 1 p and 1 x when two letters picked without replacement from {p: 2, x: 10, s: 6}? 20/153 Three letters picked without replacement from kfefk. Give prob of picking 2 k and 1 f. 1/5 Three letters picked without replacement from zfzfxgvfhgzxvxvvf. Give prob of picking 1 x, 1 f, and 1 g. 3/85 Three letters picked without replacement from {s: 5, x: 6, y: 1, l: 6}. Give prob of picking 3 l. 5/204 Three letters picked without replacement from {w: 3, i: 10, a: 4, r: 2}. What is prob of picking 1 r and 2 a? 4/323 Three letters picked without replacement from epepnpuppuppnpunepuu. Give prob of picking 1 p and 2 e. 9/380 What is prob of picking 4 r when four letters picked without replacement from {r: 4, u: 1, e: 3}? 1/70 Two letters picked without replacement from {p: 3, l: 2, x: 3, m: 1, n: 1, u: 1}. What is prob of picking 2 p? 3/55 What is prob of picking 1 s, 1 f, 1 y, and 1 c when four letters picked without replacement from myfmmsctssmfffs? 16/1365 Calculate prob of picking 1 p and 1 d when two letters picked without replacement from eeeddep. 2/21 Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {t: 10, v: 1, k: 2, h: 7}. 1/19 What is prob of picking 1 m, 1 n, and 1 s when three letters picked without replacement from {s: 2, q: 3, n: 9, i: 1, m: 2}? 9/170 Calculate prob of picking 1 u and 1 i when two letters picked without replacement from xxxluxxuuxuiiuxxl. 5/68 Calculate prob of picking 3 b when three letters picked without replacement from bbbbbb. 1 Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {z: 6, v: 13}. 26/57 Two letters picked without replacement from {m: 1, d: 1, a: 2, z: 5, w: 9}. What is prob of picking 1 d and 1 w? 1/17 What is prob of picking 2 g when two letters picked without replacement from {i: 7, g: 9}? 3/10 Four letters picked without replacement from eezzzzzzezzzzz. What is prob of picking 3 z and 1 e? 45/91 Calculate prob of picking 1 m and 1 i when two letters picked without replacement from mmmqvmqmmmmimhmvmq. 11/153 Two letters picked without replacement from {u: 5, l: 1, x: 5}. Give prob of picking 2 u. 2/11 Calculate prob of picking 1 x and 2 d when three letters picked without replacement from xdiiaddd. 3/28 What is prob of picking 2 s when two letters picked without replacement from {s: 3, h: 2, t: 6, y: 2, x: 6}? 1/57 What is prob of picking 3 h when three letters picked without replacement from {h: 9, u: 4, g: 1}? 3/13 Four letters picked without replacement from {n: 3, f: 4}. Give prob of picking 3 f and 1 n. 12/35 What is prob of picking 1 m and 2 n when three letters picked without replacement from mbbmbbbnbbnmmbbmmm? 7/816 Three letters picked without replacement from cikkcckklcrcclci. What is prob of picking 1 l, 1 k, and 1 c? 1/10 What is prob of picking 1 u and 1 k when two letters picked without replacement from {n: 3, u: 1, e: 1, k: 5, l: 2}? 5/66 Two letters picked without replacement from {p: 9, e: 3, x: 2, d: 2}. What is prob of picking 2 p? 3/10 Three letters picked without replacement from ffegfeqqifhe. Give prob of picking 1 e, 1 h, and 1 f. 3/55 Four letters picked without replacement from {f: 3, a: 4, g: 5}. What is prob of picking 1 g, 1 a, and 2 f? 4/33 What is prob of picking 3 p when three letters picked without replacement from pqpppqqgpppmpqkpkq? 7/68 What is prob of picking 2 s when two letters picked without replacement from {u: 1, y: 1, t: 2, s: 2, h: 1, a: 1}? 1/28 Four letters picked without replacement from {o: 1, w: 3, x: 6, t: 1, j: 6, s: 3}. What is prob of picking 1 t, 1 j, 1 x, and 1 w? 36/1615 What is prob of picking 3 p when three letters picked without replacement from dphpp? 1/10 Two letters picked without replacement from {g: 2, y: 1}. What is prob of picking 2 g? 1/3 Three letters picked without replacement from {o: 1, f: 4, c: 2}. Give prob of picking 2 c and 1 o. 1/35 What is prob of picking 1 f, 1 v, and 1 j when three letters picked without replacement from cjffqvn? 2/35 Calculate prob of picking 1 a and 1 s when two letters picked without replacement from aatatttasaa. 6/55 Two letters picked without replacement from olhwhgdd. Give prob of picking 2 d. 1/28 Two letters picked without replacement from mfwwyem. Give prob of picking 1 y and 1 m. 2/21 Four letters picked without replacement from {l: 3, p: 3}. What is prob of picking 2 l and 2 p? 3/5 Calculate prob of picking 1 i and 1 v when two letters picked without replacement from xystivy. 1/21 What is prob of picking 1 p, 1 q, and 1 n when three letters picked without replacement from {q: 1, d: 1, n: 2, p: 2, m: 2, x: 1}? 1/21 Three letters picked without replacement from lddhddhdldd. Give prob of picking 1 l and 2 d. 14/55 Calculate prob of picking 1 b, 1 m, and 1 i when three letters picked without replacement from mcmymbbmymmyyiymm. 2/85 What is prob of picking 2 n, 1 q, and 1 e when four letters picked without replacement from {q: 5, n: 2, e: 7}? 5/143 Four letters picked without replacement from zxxqzzxzqzxxzqqxzzz. What is prob of picking 3 q and 1 z? 3/323 What is prob of picking 2 d when two letters picked without replacement from zdzzddzdddd? 21/55 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {d: 4, q: 3, w: 1, t: 4, u: 4}. 2/15 Three letters picked without replacement from ajjj. Give prob of picking 1 a and 2 j. 3/4 Four letters picked without replacement from {i: 6, g: 3, x: 8}. What is prob of picking 2 x and 2 i? 3/17 What is prob of picking 2 z when two letters picked without replacement from {u: 6, z: 12}? 22/51 Two letters picked without replacement from eerrrreazvzzzrrvzr. Give prob of picking 1 z and 1 v. 10/153 Three letters picked without replacement from wdadddwwdcdawa. What is prob of picking 2 a and 1 c? 3/364 What is prob of picking 2 t, 1 h, and 1 a when four letters picked without replacement from {a: 3, h: 6, t: 3, u: 6}? 3/170 What is prob of picking 1 e, 1 s, and 1 j when three letters picked without replacement from esjmq? 1/10 Calculate prob of picking 1 z and 2 a when three letters picked without replacement from zmaomaoozauaomwuoaa. 10/323 Two letters picked without replacement from ueiixfxiicxi. What is prob of picking 1 i and 1 e? 5/66 Two letters picked without replacement from iifblqd. What is prob of picking 1 i and 1 d? 2/21 Three letters picked without replacement from {p: 7, w: 6, j: 2}. Give prob of picking 1 p and 2 j. 1/65 Calculate prob of picking 2 e and 1 z when three letters picked without replacement from {m: 2, d: 1, x: 1, q: 1, z: 2, e: 2}. 1/42 Three letters picked without replacement from lllkkk. Give prob of picking 3 k. 1/20 Calculate prob of picking 2 p and 1 l when three letters picked without replacement from bllpbp. 1/10 What is prob of picking 1 o and 1 f when two letters picked without replacement from kkoikkofk? 1/18 What is prob of picking 2 q when two letters picked without replacement from {q: 2, c: 17}? 1/171 Two letters picked without replacement from {c: 2, q: 1, o: 1, m: 1, n: 1, r: 1}. Give prob of picking 1 c and 1 m. 2/21 Calculate prob of picking 1 x and 2 v when three letters picked without replacement from pccppceppxpcv. 0 Four lett
{ "pile_set_name": "DM Mathematics" }
r f. -1 Let l(n) = 15*n. Let b be l(1). Solve -d + 19 = -5*g, g = 6*g + b for d. 4 Suppose -9 = u - 4*d, 5*u - 2*d + 3 = 4*u. Let n = 14 + -12. Suppose 4*x + 3*c = n*x, -5*x + 13 = c. Solve 2*g = 3*z - 0*g + 18, -x*g = -u*z - 21 for z. -4 Let i be (-7)/((-21)/6) + -2. Suppose i = -5*z + 4*j + 1 + 32, -z = -3*j - 11. Solve 0 = -0*y - 2*y - a - 12, 0 = -z*y - 4*a - 33 for y. -5 Let g be (-1610)/(-22) - (-2)/(-11). Suppose -9 = 3*x - 2*v - g, x + 7 = -5*v. Solve x = n + 5*l, -5*n - 14 = l - 2*l for n. -2 Let f be 1/(-3) - (-3)/9. Let o(g) = g**3 + 7*g**2 + 5*g - 8. Let z be o(-6). Let h = 4 + z. Solve f = -h*d + u - 3*u - 4, 4*d = u - 13 for d. -3 Suppose -2*r = -4*r. Let m = 8 + -9. Let a = 10 + m. Solve 5*y - a = -2*f, 0 = 3*y + f - 5 - r for y. 1 Let s(l) = -l**3 + 7*l**2 - 8*l + 8. Let q be s(6). Let c be 3/12 + (-15)/q. Solve -5*k - c*i = 0, i = -0*k - 5*k + 15 for k. 4 Suppose -t + 4*n = -44, -5*t + 6*n = 3*n - 152. Suppose 3*o = 25 + 14. Suppose -o = -3*w + 8. Solve 0 = -2*c + 4*v + t, 3*c + v + 0 = w for c. 4 Suppose b = -5*s + 319, 9*b - 4*b = 2*s - 106. Let p = -37 + s. Suppose 3*i + i = 8. Solve -i*c + 4*f + 12 = -2, 2*c = -4*f - p for c. -3 Suppose 65 = -4*u + 4*a - 3*a, -2*u + 4*a - 22 = 0. Let d = u - -17. Let p be (0 - 10)*2/(-4). Solve 8 = 3*r - p*t, 2*r + 2 = -d*t - 4*t for r. 1 Let z be 2/12 - 33/(-18). Solve 0 = -z*u - 4*g + g + 19, 2*u + g = 13 for u. 5 Let l be -1*(2/2 + -2). Suppose -11 = -5*y - 2*h, 5*h + l + 12 = y. Solve -2*z + y*d + 9 = -5*z, 4*z = d - 2 for z. -1 Let y be 2/8 - 2/8. Solve -5 = -y*k + 3*k + u, k - 3*u - 15 = 0 for k. 0 Suppose -2*w - 3*b + 5*b = -20, 0 = 3*w - 5*b - 38. Let v be (2/(-4))/(2/(-8)). Suppose 5*c - w*c = -v. Solve 4*i + 5*x = -14, -c*i - 2 = -4*i + 2*x for i. -1 Suppose -1 = -2*c + 5. Solve -4*x + 3 = 3*v, 3*v - c = x - 0*v for x. 0 Let y = 5 - 14. Let u be (y/12)/((-1)/4). Solve l + 3*f + 2 = 6, 0 = -l + u*f - 2 for l. 1 Let w = -68 + 30. Let h = 53 + w. Solve 4*n + h = 2*y + 3*y, 4*n = 0 for y. 3 Let y = 11 - 17. Let k = -4 - y. Suppose -2*v - k*v - 8 = -4*j, -3*j = -5*v. Solve -1 = g - 2*c - 10, -g + v*c = -12 for g. 3 Let r = -18 + 23. Solve -3*b = -3*f + r*f + 14, 4*b - 4 = 3*f for b. -2 Suppose 4*h = 4*v - 28, -2*v - 7 = 4*h + 3. Suppose -i - 10 = -3*l, -4*i - 5 = 4*l + v. Solve 0*n - 8 = -l*n - 4*q, 0 = 5*n - 5*q + 10 for n. 0 Let i(a) = -a**3 + 2*a**2 + 2. Let p be i(2). Let f be (1 + -11)/(-2) + p. Let o = f + -2. Solve 0 = o*t + 5*d - 15, -12 = -t - 5*d + 7 for t. -1 Let j(f) = 2*f**2 + 6*f - 16. Let d be j(-5). Solve 2*k = d*n - 8, -2*k + k + 3*n = 5 for k. -2 Let b(t) = -2*t - 2. Let o be b(-15). Suppose d + 20 = -4*n + 2, -19 = -2*d + 3*n. Solve -4*y + 8 = -3*v, -2*y + o = 2*v + d*y for v. 4 Let u = 6 - 4. Suppose 3*n - 12 = 3*q, u*q - 4*q = -n + 4. Solve q = 2*p, p = -3*h + 3 + 12 for h. 5 Suppose 2*m + 9 + 12 = 5*j, 5*j = -2*m + 29. Suppose 0 = -5*a + 1 + 4. Let i be 3*a - (3 - j). Solve -k + 7*o - 3*o = 10, 0 = -4*k - i*o + 2 for k. -2 Let y(k) = -2*k - 10. Suppose 0 = 5*d + 37 + 3. Let s be y(d). Solve -3*o + 3*i = -0*o - s, 5 = -5*o + 2*i for o. -3 Let y = -7 - -7. Suppose -3*n = -5*j + 13 - y, -5*j + 45 = 5*n. Solve 3*w + 37 = j*o + 15, 0 = o + 3*w + 10 for o. 2 Let j = 7 + -2. Solve -5*k = l - 26, -2*l - 24 = -l - j*k for l. 1 Suppose 0*n = n - 6. Let l(v) = -v**3 + 6*v**2 + 3. Let o be l(n). Let p be (0 - -1 - 2) + 7. Solve 0 = -2*c - s - p, c - o*s + 13 - 3 = 0 for c. -4 Let x be (12/10)/(1/10). Suppose -2*r = r - x. Solve -3*u + 5*m = m - 2, -r*u - 10 = m for u. -2 Let u = 52 + -21. Suppose -3*w = 5*d - u, 2 = 4*w - d - 1. Solve 1 = -w*l + 5*o - 2, -l + 2*o - 1 = 0 for l. 1 Let k(a) = -3 - 10 - a + 14. Let f be k(-9). Let g be 3/9*(50 + 1). Solve r - 2*r + g = 4*y, y = -5*r - f for r. -3 Let s be (-133)/(-35) + 1/5. Suppose -m = m - 10. Suppose -3*k - r + 2 = r, -s*k = m*r + 2. Solve -2*n = k*u - 0*n - 4, 5*n = 2*u + 10 for u. 0 Suppose -12*q + 30 = -7*q. Solve 0 = 2*j + g - q*g + 12, 5*g - 40 = -5*j for j. 4 Let p be ((-8)/(-6))/(8/36). Suppose 0 = 2*z - s, -z + 4*s - 5*s = -p. Solve -2*i = -z*y + 18, 5*i - 3 = -5*y + 2 for i. -4 Let b(o) be the first derivative of -o**4/4 - 3*o**3 - 6*o**2 - 8*o + 4. Let q be b(-8). Solve -3*l = -0*y - 2*y + 4, 0 = -3*l - 3*y - q for l. -4 Let h(p) = p**3 + 14*p**2 - 15*p. Let n be h(-15). Solve 4*y + 1 = l - n, -3*y = 3*l - 3 for y. 0 Let j(p) = 8*p**3. Let v be j(1). Solve -g - 12 = -3*a, -3*a - 2*g = -a - v for a. 4 Let f = 8 - 8. Suppose -4*b + 1 + 15 = f. Let h be (b + 1)/(1/1). Solve -h*z + 3*u = -17, 0 = -5*z + 4*u - 1 + 22 for z. 1 Let l be (3 + 1)/(2/16). Let r = l - 14. Suppose 0*z = -5*z - 2*y + 5, -5*z + 4*y = -35. Solve 3*h + z*q + r = 0, 11 = 4*h - q - 2*q for h. -1 Let f = -20 + 24. Let p = 8 + 2. Solve 5*j - 2*m - p = 3*j, f*j + 20 = -4*m for j. 0 Let h = 99 - 97. Suppose 0 = 2*c + p - 72 - 0, -4*c - 5*p = -144. Suppose -3*w + c = w. Solve -4*f = h*y - f - w, 0 = -3*f + 15 for y. -3 Suppose -6*j = -3*j - 9*j. Let u(b) = 3*b + 2. Let d be u(-2). Let z be (-2 + d)*(-1)/2. Solve -z*p + j*p + 24 = -5*s, -5*s = -4*p + 27 for s. -3 Suppose m - 23 + 9 = 0. Solve -2*s + 1 + 4 = -k, 4*s + 2*k = m for s. 3 Suppose 20 = -3*c + 8*c. Let i = 5 + 1. Suppose -c*x + 6 = -i. Solve -4*d = -5*a - 18, 4*a = 3*a + x*d - 8 for a. -2 Suppose s + 1 + 5 = 4*o, -3*s = -2*o - 12. Let v be -14*(0 + (-3)/s). Let g be (-45)/(-21) - 1/7. Solve 2*u + b = -v, -3*u - g*b + 0 - 13 = 0 for u. -1 Let i(k) = -k**2 - 8*k + 3. Let x be i(-6). Let r = -10 + x. Solve -5*w = -r*y - 10, 0 = 3*w + 4*y + 5 + 3 for w. 0 Let r = -40 - -44. Solve -3*o + 4*o = 5*a - 6, 24 = 4*a + r*o for a. 2 Suppose 3*u + 2*u - 4 = -2*l, -u + 3*l = -11. Suppose 6 = -2*a - 3*h + 28, -24 = -4*a - h. Solve -a*g - u*y = -21, 0 = -5*g + 2*y + 3*y + 35 for g. 5 Let b = 0 - -2. Suppose j = -b*d, -3*d - 17 = 5*j + 4. Let x be (j/9)/((-1)/3). Solve 2*h + 8 = 2*u, 4*h + 12 = -x*u + 4*u for h. -2 Let y(z) = 16*z - 7. Let t be y(2). Solve a - i = -3*a - t, -5*a = -i + 30 for a. -5 Let q = 7 - 6. Let u be (-1)/(q - 8/4). Solve m = -c - 1, 5*c - 2*m + 6*m + u = 0 for c. 3 Suppose -u - 16 + 17 = 0. Solve 5*j - 21 + u = 4*v, 3*v + 15 = 5*j for j. 0 Let q = -36 + 39. Solve -q*f - j = j + 10, -4*f + 5*j + 2 = 0 for f. -2 Let i(m) = 4*m + 38. Let k be i(-6). Solve 5*f - k = 4*b - 5, 0 = -5*f - 2*b + 3 for f. 1 Let s(t) = -12*t. Let o = -3 + 0. Let a be s(o). Let m = a + -8. Solve i = 5, 4*z - 2*i + 6*i = m for z. 2 Suppose -2*s - 4*h - 2 = 0, -5*h - 5 = s + 2. Let n(f) = f**3 - 4*f**2 + 3*f + 2. Let c be n(s). Solve c*u + 7 = 3*k, -2*k + 6*k + 5*u + 6 = 0 for k. 1 Suppose 2*b + 4*r - 17 = -b, -3*b - 1 = -5*r. Solve 5*d + 3*p = -31, 2*p - 6*p = b*d + 23 for d. -5 Let x(w) = -w**2 - 8*w. Let z be x(-8). Solve -2*g - 6 = 2*a - 0*g, z = 5*g - 10 for a. -5 Let d = -61 - -65. Solve -j + 19 = -3*k, 7*j - 4*k - 32 = d*j for j. 4 Let i(r) = -3*r - 19. Let f be i(-8). Solve f*w + 5*m + 5 + 10 = 0, w = -4*m for w. -4 Let d be (1 - 0)*-1 + 5. Solve 2*x + 2*x + 32 = -4*j, d*j - 4 = 5*x for x. -4 Suppose -13 = -3*s - y - 4*y, -s - 4*y + 2 = 0. Solve 3*z + 4*p + 13 = 0, 1 = 2*z - p + s for z. -3 Let x = 30 + -44. Let h = -47 + 20. Let q = x - h. Solve 5*j + 5*n = 40, 0*j + j + 2*n - q = 0 for j. 3 Suppose -5*i + x + 24 = 0, 0*x - 4 = -4*x. Solve 4*y + 2 = 2*d, -8*y + 3*y + i*d - 15 = 0 for y. 2 Let s = 107 - 100. Solve s*f - 4*f - 4*a - 2 = 0, -2*a = -4*f - 4 for f. -2 Let k(v) = v + 8. Let j be k(-6). Suppose 7 = 3*y - 2*w, y - 3*w = 2*y - 17. Solve -2 = 4*r + 5*x + j, 0 = -5*r + y*x + 40 for r. 4 Suppose -l + 29 = -4*u, -l - 4*u + 45 = -0*l. Suppose -23 = -5*i + l. Solve -q - 3*r + i = 0, -2*q - r + 12 = q for q. 3 Let p = 11 - 6. Solve 2*a = 5*r - p, 0*a - 1 = a - r for a. 0 Let i = -34 - -37. Solve 0 = -i*y + 3, -5*v = -2*y - 5 - 8 for v. 3 Let s(g) = -g**3 - 8*g**2 + g - 2. Let n be s(-8). Let b = n + 16. Solve -4*y = -4*m, b*y - 2*y + 5*m = 0 for y. 0 Suppose -4*i - 4 = -24. Solve -i*b - 32 = -5*r + 3, 0 = -5*r - 5*b - 15 for r. 2 Let r(p) = -6*p - 1. Let w = 3 - 2. Let m be r(w). Let y(x) = -x**3 - 6*x**2 + 8*x + 7. Let d be y(m). Solve z - 2 + 3 = 5*k, -4*z + 3*k - 4 = d for z. -1 Let x = 66 - 66. Solve -2*d - 2*a - a + 8 = 0, x = 4*a - 16 for d. -2 Suppose -k = 4*v - 80, 0*v - 3*v - k + 61 = 0. Solve s
{ "pile_set_name": "DM Mathematics" }
es. 4685023 How many litres are there in 934.7956 millilitres? 0.9347956 Convert 180810.5 litres to millilitres. 180810500 What is 741.0821 decades in millennia? 7.410821 How many months are there in 3/10 of a millennium? 3600 Convert 23029.953 months to centuries. 19.1916275 Convert 715.0886um to kilometers. 0.0000007150886 How many minutes are there in five eighths of a week? 6300 What is 3/25 of a microgram in nanograms? 120 How many days are there in 342525.6 minutes? 237.865 How many micrometers are there in 91/4 of a millimeter? 22750 What is 2463.066 millilitres in litres? 2.463066 What is twenty-one fifths of a litre in millilitres? 4200 How many grams are there in 5/8 of a kilogram? 625 Convert 0.0198933 months to decades. 0.0001657775 How many millimeters are there in 9.839787 nanometers? 0.000009839787 How many years are there in 32/5 of a decade? 64 What is 11.13126m in micrometers? 11131260 Convert 93232.13 millennia to months. 1118785560 What is 0.1019237ml in litres? 0.0001019237 How many kilograms are there in 64.0413ng? 0.0000000000640413 Convert 0.9502382ng to kilograms. 0.0000000000009502382 Convert 2802.18nm to millimeters. 0.00280218 How many grams are there in 63316.56ng? 0.00006331656 What is 3/50 of a kilometer in centimeters? 6000 How many nanograms are there in one tenth of a microgram? 100 How many nanograms are there in seven eighths of a microgram? 875 What is 8751.387l in millilitres? 8751387 How many millennia are there in 65443.27 years? 65.44327 How many kilograms are there in twenty-five eighths of a tonne? 3125 Convert 25372.59 years to months. 304471.08 What is 0.3205092nm in kilometers? 0.0000000000003205092 Convert 39.52486 millilitres to litres. 0.03952486 How many nanometers are there in one twentieth of a millimeter? 50000 What is 77.17942 centuries in years? 7717.942 How many nanograms are there in 918.9473mg? 918947300 How many millilitres are there in 50812.88 litres? 50812880 What is three tenths of a kilogram in grams? 300 What is 60586.58ml in litres? 60.58658 How many decades are there in 46/5 of a millennium? 920 How many millilitres are there in 182066.5l? 182066500 How many years are there in fifty-two fifths of a decade? 104 Convert 99.569l to millilitres. 99569 How many centuries are there in 80090.04 months? 66.7417 What is 3/10 of a litre in millilitres? 300 What is three eighths of a kilometer in centimeters? 37500 How many meters are there in 45746.87mm? 45.74687 What is 29241.036 months in years? 2436.753 How many seconds are there in three tenths of a minute? 18 How many millilitres are there in 53/5 of a litre? 10600 How many minutes are there in 28/3 of a day? 13440 What is 21/5 of a decade in months? 504 How many micrometers are there in 86668.03 millimeters? 86668030 What is five eighths of a kilometer in meters? 625 What is 1/6 of a day in minutes? 240 How many minutes are there in 10/7 of a week? 14400 What is 45/8 of a litre in millilitres? 5625 How many nanograms are there in 6/5 of a microgram? 1200 What is 10/3 of a day in hours? 80 How many litres are there in 0.5395191ml? 0.0005395191 How many months are there in 5/4 of a millennium? 15000 Convert 2.008302 decades to centuries. 0.2008302 How many months are there in 0.0724977 decades? 8.699724 What is 74/3 of a year in months? 296 What is 3/32 of a milligram in nanograms? 93750 Convert 6.731719 centimeters to meters. 0.06731719 How many months are there in 4/3 of a decade? 160 How many micrograms are there in 6/25 of a milligram? 240 Convert 92.87287 millilitres to litres. 0.09287287 How many decades are there in 6/5 of a millennium? 120 How many centimeters are there in 0.8509496nm? 0.00000008509496 What is 29/5 of a litre in millilitres? 5800 Convert 2.900094 millennia to decades. 290.0094 What is 460.5127kg in milligrams? 460512700 How many months are there in twenty-one eighths of a century? 3150 How many nanoseconds are there in 3/32 of a millisecond? 93750 What is 1/4 of a litre in millilitres? 250 How many decades are there in 31.02534 centuries? 310.2534 What is 264901.14 months in decades? 2207.5095 How many millilitres are there in seventeen quarters of a litre? 4250 How many days are there in 3051275.4 nanoseconds? 0.0000000353156875 What is one fifth of a litre in millilitres? 200 What is 27/5 of a millennium in decades? 540 What is 34/5 of a century in decades? 68 How many millilitres are there in six fifths of a litre? 1200 What is three fifths of a millennium in decades? 60 What is thirty-two fifths of a gram in milligrams? 6400 How many months are there in five eighths of a millennium? 7500 What is 17/4 of a milligram in micrograms? 4250 How many decades are there in 923.9982 millennia? 92399.82 What is twenty-one halves of a litre in millilitres? 10500 How many minutes are there in 25/8 of a day? 4500 How many years are there in seven halves of a century? 350 How many millimeters are there in sixty-seven fifths of a meter? 13400 What is fourty-three halves of a kilogram in grams? 21500 Convert 171.0577 years to months. 2052.6924 How many months are there in seventeen sixths of a year? 34 How many seconds are there in 1/15 of a day? 5760 How many minutes are there in one tenth of a hour? 6 Convert 0.8700026 tonnes to milligrams. 870002600 What is one quarter of a millimeter in micrometers? 250 What is 0.4688425ng in micrograms? 0.0004688425 How many minutes are there in 13/4 of a week? 32760 What is 6/5 of a meter in millimeters? 1200 How many millimeters are there in 55/4 of a meter? 13750 What is 1/6 of a decade in months? 20 What is 4.134792t in milligrams? 4134792000 How many millilitres are there in 5/4 of a litre? 1250 What is 0.889763 nanograms in milligrams? 0.000000889763 What is 5/4 of a minute in seconds? 75 How many nanograms are there in thirteen eighths of a microgram? 1625 What is sixty-seven thirds of a century in months? 26800 Convert 1385.433 weeks to nanoseconds. 837909878400000000 How many micrograms are there in 9.166986 milligrams? 9166.986 How many meters are there in 1.947988mm? 0.001947988 How many millimeters are there in twenty-one fifths of a meter? 4200 What is 95.07242 decades in centuries? 9.507242 Convert 0.7902263ml to litres. 0.0007902263 How many nanometers are there in 0.7623898cm? 7623898 What is six fifths of a second in milliseconds? 1200 How many months are there in six fifths of a millennium? 14400 How many millilitres are there in one tenth of a litre? 100 How many centuries are there in 82.77079 decades? 8.277079 What is 45/4 of a microgram in nanograms? 11250 How many micrometers are there in one fifth of a centimeter? 2000 What is 1/10 of a litre in millilitres? 100 How many months are there in twenty-eight thirds of a year? 112 How many days are there in 296829.18 hours? 12367.8825 What is 1/4 of a gram in milligrams? 250 What is twenty-five halves of a second in milliseconds? 12500 What is 4.349938 weeks in milliseconds? 2630842502.4 Convert 6.368257m to micrometers. 6368257 Convert 808.2339 days to microseconds. 69831408960000 How many meters are there in 23.1592 centimeters? 0.231592 How many millimeters are there in 549723.4 centimeters? 5497234 How many meters are there in 86388.14 nanometers? 0.00008638814 What is 53/5 of a meter in millimeters? 10600 How many millilitres are there in 1/10 of a litre? 100 What is ninety-five halves of a microsecond in nanoseconds? 47500 Convert 74890.01ug to kilograms. 0.00007489001 What is 11/2 of a kilogram in grams? 5500 Convert 44.594 kilograms to milligrams. 44594000 What is fourty-two fifths of a decade in months? 1008 Convert 157997.6g to tonnes. 0.1579976 Convert 0.8110256m to nanometers. 811025600 What is twenty-seven halves of a century in decades? 135 How many centimeters are there in twenty-nine halves of a meter? 1450 How many tonnes are there in 94830.49 milligrams? 0.00009483049 How many nanometers are there in 68943.35 millimeters? 68943350000 How many centimeters are there in 4.541392mm? 0.4541392 How many millilitres are there in thirty-one halves of a litre? 15500 How many meters are there in 5/4 of a kilometer? 1250 Convert 4792.168um to kilometers. 0.000004792168 What is 11/2 of a litre in millilit
{ "pile_set_name": "DM Mathematics" }
- 13 - 6*i)*(0*i + 3*i - 2*i) - 18*i + 18*i - 3*i**2 as g + p*i**2 + d*i and give d. 18 Rearrange -2651*o**3 - 1303*o + 0*o**2 + 2*o**2 + 2*o**4 + 1327*o**3 + 1324*o**3 + 2 to l + h*o**2 + v*o**4 + p*o + f*o**3 and give v. 2 Express 2083 - 6*m**2 - 1034 + m - 1024 in the form r + n*m**2 + l*m and give n. -6 Rearrange 10*h**2 + 35678*h**3 - 20*h - 7*h**2 - 35718*h**3 to the form y + i*h + z*h**2 + v*h**3 and give i. -20 Express 2491*x**3 + 26*x + 69*x - 96*x as t*x**2 + j + b*x**3 + o*x and give o. -1 Rearrange -5*w**3 + 4*w**4 + 5*w**3 + (3*w**3 - 4*w**3 + 3*w**3)*(-1285*w - 1503*w + 566*w) to m*w**3 + y*w + t + f*w**4 + l*w**2 and give f. -4440 Rearrange 0 + 20*y**3 + 3 + 36*y**2 + 4 - 19*y**2 - y**2 to o*y**3 + r + p*y + g*y**2 and give g. 16 Rearrange 1093*r**2 + 689*r**2 + 296*r**3 - 1 - 297*r**3 to the form y*r + c*r**2 + d*r**3 + u and give d. -1 Express ((-2 - 2 + 9)*(2*u - 4*u + 3*u) + 3*u - 12*u - 16*u)*(-4*u + 4*u + u**3) in the form q*u + c*u**2 + m*u**3 + s + w*u**4 and give w. -20 Express -3105*z**2 + 2*z**3 - 3107*z**2 + 2367*z + 6212*z**2 as u*z + j*z**2 + r*z**3 + p and give r. 2 Rearrange 5 - 3 - 10*l**4 + 80*l**2 + 2*l**4 - 3 + 4 to c*l**3 + b*l + s + n*l**2 + j*l**4 and give n. 80 Express 50*n**3 - 90*n**3 - 287*n**2 + 3 + 42*n**3 as r*n**3 + i*n + x + u*n**2 and give r. 2 Rearrange 4125 - 4125 - 7*t - 232*t**2 to x*t + n + m*t**2 and give x. -7 Rearrange (-16 + 5807 + 7614)*(12*v + 2 - 5 + 1) to the form a + r*v and give a. -26810 Express -1489*y**4 - 19*y - 1 + 1488*y**4 - 4*y**2 + y**2 as f*y**3 + l + r*y + a*y**2 + o*y**4 and give a. -3 Express -2*h**3 - 51*h**4 - h - 2*h**2 - 2*h**2 + 16*h**4 + 2*h**2 + 0*h - 1 in the form j*h**4 + u*h**2 + i*h + p + f*h**3 and give u. -2 Rearrange ((-1 - 3 + 2)*(-3 - 1 + 2) + 3 - 10 + 1)*(6*x**4 - 8*x**4 - 2*x**4) to the form q*x + r + b*x**2 + w*x**4 + u*x**3 and give w. 8 Rearrange (5 - 2 + 1)*(-139*m**3 - 14*m + 160*m**3 - m**2 - 8*m**3) to u + h*m**3 + j*m**2 + k*m and give k. -56 Rearrange (-144*l + 292*l - 31 - 150*l)*(-217 - 4*l + 111 + 108) to v*l**2 + i + j*l and give v. 8 Rearrange 7*s + 542 - 2*s - 16*s + 10*s to the form i + v*s and give v. -1 Rearrange (-4*l - l + 0*l)*(6 - 16 - 15)*(-6 - 8 + 4)*(4*l + 2*l - 4*l) - l**2 + 3*l**2 - l**2 to v*l**2 + f + k*l and give v. -2499 Express -563*z**2 + 2*z + 500*z**2 - 11*z - 94*z in the form c*z**2 + f + r*z and give r. -103 Express -1073*i - 632*i + 203*i as f*i + s and give f. -1502 Rearrange -2236*a + 6*a**3 + 2004*a - a**3 + 5*a**2 - 3*a**3 to x*a + s*a**2 + z*a**3 + v and give x. -232 Rearrange 46*y**2 + y**3 + 9 - 46*y**2 + (-2*y**2 + y**2 - y**2)*(-14 + 8*y + 6 + 5) + y**3 + 0*y**3 + y**3 to x*y + i + u*y**2 + d*y**3 and give i. 9 Express (25729*w + 7042*w - 1889*w - 12875*w + 28120*w)*(2*w**2 + 1 - 1) as u*w + l*w**2 + o*w**3 + g and give o. 92254 Rearrange 6*t**3 + 277 + 303*t**2 - 495*t**2 + t**3 - 279 to z*t**2 + c + h*t + v*t**3 and give z. -192 Express 2 + 3*y - 2 + (-4*y + 10 - 10)*(1 + 1 + 2) + 0*y - y - y - 47 + 88 - 50 + 2*y in the form h + t*y and give t. -13 Rearrange -9*p - 169*p**2 + 5442*p**2 - 599*p**2 + 9*p to b*p**2 + m*p + i and give b. 4674 Express 15*w + 25*w - 47*w - 3 + 848*w**2 + 7*w in the form f*w**2 + t + c*w and give t. -3 Rearrange (2 + 0 - 1)*(-6 - 6 - 6)*(0 + 0 - 2)*(2*d - 2 + 2)*(-d**2 + 2*d**2 + 0*d**2 + (-2*d + 0*d + 3*d)*(d + 0 + 0)) to h*d + c + p*d**3 + x*d**2 and give p. 144 Rearrange -2*m + 10619*m**2 - 906*m**2 + 3*m - 2*m - m to the form r*m + t*m**2 + j and give r. -2 Rearrange 5747 - 2*x - 3*x**3 - 2894 - x**4 - 2908 to the form h*x**3 + b*x**4 + g*x + v*x**2 + n and give b. -1 Rearrange -178*j + 62*j + 571*j + 387*j + 2 to r*j + t and give t. 2 Express (-161 - 240 + 86)*(-z - 29 + 29) in the form n + y*z and give y. 315 Express (811492*g - 1652*g**3 - 811492*g)*(3*g + 3*g - 5 - 7*g) as w*g**3 + x*g**2 + r*g + k + n*g**4 and give w. 8260 Rearrange -63 + 15*a - 25*a + 12*a - 11 - 80 - 2*a**2 to the form q*a + g + j*a**2 and give q. 2 Rearrange -12*r + 37*r**2 + 2*r - 66 + 34 + 35 to h*r + z + w*r**2 and give z. 3 Express 148446 - 148446 + 501*j**2 as q*j + p*j**2 + w and give p. 501 Express 1 + 5*q + 2361*q**2 + 2460*q**2 - 4916*q**2 as u*q**2 + v + m*q and give m. 5 Rearrange (p**2 - 7*p**3 + 8*p**3 + p**2)*(9*p - 460*p + 153*p) to i*p**2 + h + q*p**3 + b*p + t*p**4 and give q. -596 Rearrange 2498*m + 2469*m + 4*m**2 - 9 - 4986*m to y*m + l + s*m**2 and give y. -19 Rearrange -3*m + 4 - 4 + (7*m - 3*m + 14*m)*(114 + 129 - 155) to z + o*m and give o. 1581 Express 4 - 42 + 3*p**2 + 45*p**2 + 2 - 23*p**2 as q + a*p + n*p**2 and give n. 25 Express v**2 + 2*v**2 - 4*v**2 + (-v + 7*v + 5*v)*(149*v - 67*v - 107*v) + 4 + 2*v**2 - 4 + (3 - 3 - 2*v)*(-30 - 2*v + 30) as l*v + c + w*v**2 and give c. 0 Express (7 - 8 + 17)*(-1 - a - a + 2) + a - 4*a + 4*a + (14 - 5 - 7)*(-1 + 1 + a) in the form j + k*a and give k. -29 Rearrange (668 + 84 + 339)*(3 + 5*l - 3)*(2 - 1 - 3) to h*l + s and give h. -10910 Express (2 + 3 - 4)*(-5 + 4 + 0)*(-4 + 2 + 1)*(0 - 2 + 7)*(-3 + 2 + 3)*(3 + 3 - 4)*(2*k - 5*k - 6*k) in the form t*k + d and give t. -180 Rearrange (1337 + 967 + 544 + 170 - 385)*(-2*j - 3*j + 2*j) to the form s + p*j and give p. -7899 Express (-2*a - 2 + 2)*(-12*a + 5 + 23*a - 13*a) + 6*a - 8*a**2 + 0*a + 10*a**2 as h*a**2 + x*a + l and give h. 6 Express (19 + 19 - 12)*(0*m - m + 0*m)*(-m + 4*m + 0*m)*(-m - 8*m - 5*m) as p*m + h + s*m**3 + y*m**2 and give s. 1092 Express 2*c**3 - 8*c - c**4 + 11*c - 14*c + 6*c**3 - 2*c**2 + 1 in the form p*c + u*c**2 + g*c**3 + d + b*c**4 and give d. 1 Rearrange -15555*k**2 + 4 - 4 + 35917*k**2 to the form j*k**2 + z + s*k and give j. 20362 Express -51*x**2 + 5*x + 16*x**2 + 37*x**2 + 0*x**2 + 43*x**2 as b + t*x**2 + z*x and give t. 45 Express 617622 - 1086*b - 617622 + (-3*b + 3*b + b)*(-6 + 11 - 6) as i + u*b and give i. 0 Express -2 + 42*h**4 - 89*h**2 + 11*h**4 - 8*h**3 + 8*h**3 + 93*h**2 - 7*h in the form t*h**4 + z + g*h**3 + m*h + o*h**2 and give t. 53 Rearrange (100 + 125 + 13)*(0 + x**3 + 0)*(3*x - 4*x - 2*x)*(0 + 6 - 4) to i + l*x**4 + y*x**2 + p*x + b*x**3 and give l. -1428 Rearrange 3*n + 5*n - 4*n + 318 + 47*n**2 + 3*n**4 - 329 - n**4 to the form l*n**2 + m*n + o*n**3 + t*n**4 + v and give v. -11 Rearrange d - 2 + 2 + (4 - 3 + 1)*(-d + 4*d - d) - 76 - 5105*d + 323 + 5109*d to v*d + y and give v. 9 Express 6*f**3 - 21*f**2 - 2*f + 202 + 21*f**2 + 356 - 206 as t*f + l*f**3 + g*f**2 + a and give l. 6 Express 175*w**2 - 76*w**2 - 83*w**2 - 48*w**2 + 10*w**3 - 4*w**4 in the form g*w + d*w**4 + o + n*w**2 + u*w**3 and give d. -4 Rearrange -g - 64 - 6*g + 4 + 41 + 37 - 10*g**2 to p*g**2 + l*g + q and give q. 18 Rearrange (-z**3 - 9927683*z**2 - 1 + 9927742*z**2 - 2)*(15*z + 9*z - 7*z) to i*z**4 + m*z + y*z**2 + w*z**3 + s and give i. -17 Express -3340*m + 2556*m + 4018*m + 3328*m + 1991*m in the form w + j*m and give j. 8553 Rearrange (95*w - 29*w + 58*w)*(0 + 0 - 10*w) to v*w**2 + b*w + a and give v. -1240 Express (14*p - 19 - 6 + 27)*(-39*p + 12 - 12) in the form b*p**2 + o + r*p and give b. -546 Express 1385*r - 1298 - 2767*r + 1385*r in the form l + w*r and give l. -1298 Express -512*n - 487*n - 501*n + 1459*n + 0*n**2 + 16*n**3 - 2*n**2 in the form q*n**3 + x*n + v*n**2 + j and give x. -41 Express -2*z**3 - 23801*z**2 + z**3 + 23760*z**2 - 25 in the form v*z + w*z**2 + y + c*z**3 and give y. -25 Express -356*l**2 - 6*l + 679*l**2 + 60 - 316*l**2 as i*l**2 + m + w*l and give i. 7 Express 23 - 19 - 4 - 2*h + 270*h**2 as o + d*h + a*h**2 and give a. 270 Rearrange (-1 - 6 + 4)*(-1 - 4 + 2)*(2954*v**3 + 2488*v**3 - 2000*v**3) to y*v + w*v**3 + p*v**2 + t and give w. 30978 Express (2 + 1 + 9)*(27 - 61 + 34 - 690*m**3) in the form g*m**3 + r + u*m**2 + z*m and give g. -8280 Rearrange (16451 - 16446 - 21*y - 118*y)*(1 + 0 + 0 + (0 + 3 - 4)*(0 - 2 + 1) + 2 + 1 - 4 + 2 - 2 + 1 + 5 - 2 - 4 - 24 + 10 - 16) to z*y + l and give z. 4031 Express (-910*g + 294*g + 311*g + 313*g + 827)*(0*g + 3*g - 2*g) in the form a*g + b*g**2 + i and give a. 827 Rearrange (u**2 + u**2 + u**2)*(-537*u - 541*u - 542*u - 537*u + 351 + 2154*u) to q*u**3 + x + a*u + f*u**2 and give f. 1053 Express (-187 - 220 - 187)*(0*h**2 - 6*h**2 - h**2) in the form t*h**2 + n*h + f and give n. 0 Rearr
{ "pile_set_name": "DM Mathematics" }
r = 90 - q. Suppose 2*h - 134 = 5*a + 4*h, 2*a - h = -r. Round a to the nearest ten. -30 Let a = 1.680301 - 575.732101. Let p = 574 + a. What is p rounded to two dps? -0.05 Let p = -6.562328 - -757.561628. Let b = p - 751. What is b rounded to three decimal places? -0.001 Suppose -4*v - 177424 = -4*f, f - 8*v - 44359 = -4*v. Let o = 114269 + f. Let i = -92624 + o. Round i to the nearest ten thousand. 70000 Let y = 789 + -792.61. Let i = -0.23 - y. Let p = i - 3.5. Round p to one decimal place. -0.1 Let h = -0.018 + 0.015. Let i = -0.253 - h. Let k = i - -0.25000118. Round k to 7 dps. 0.0000012 Let f(t) = -338*t - 28. Let p be f(-3). Let z = 646 - p. Round z to the nearest ten. -340 Let b = 1011820262.9999954 + -1011820430. Let y = -167 - b. Round y to six decimal places. 0.000005 Let k(r) = 76918*r + 1108. Let u be k(-6). Round u to the nearest one hundred thousand. -500000 Let c = -0.972 + -1.037. Let w = -2.01739 - c. What is w rounded to three decimal places? -0.008 Suppose -8*w - 168725 = -25*w. Suppose -w = -6*m - 64525. What is m rounded to the nearest ten thousand? -10000 Let j = -5790.99269 - -5791. What is j rounded to three decimal places? 0.007 Suppose 2*x + 22134901 = 5*n, 48*n + 3*x = 50*n - 8853967. Let j be (9761874/4)/3*-2. Let d = j + n. Round d to the nearest 1000000. 3000000 Let z = -0.1418 - -119.5418. Let t = -119.39997428 + z. Round t to six dps. 0.000026 Let i = -304.594078 - -304.6. What is i rounded to 4 decimal places? 0.0059 Let f = -5708342743.3537 + 5708346918.3537007071. Let o = f - 4175. Round o to seven dps. 0.0000007 Let j = -3837.5 - -17320. What is j rounded to the nearest one thousand? 13000 Let a = 34.46 + -34. Let k = 0.68 + a. Let l = k - 1.14000075. What is l rounded to 7 dps? -0.0000008 Let b = 2768462 + -1083262. Round b to the nearest 10000. 1690000 Let t(c) = 21*c**2 + 2*c. Let h(o) = 5*o + 8. Let k be h(-2). Let b be t(k). Suppose -b = -2*y - 5*l, -2*l + 92 = 2*y - 0*l. Round y to the nearest one hundred. 100 Let z = -14981519539 + 27065992035. Let d = 12084472272.99999522 - z. Let f = -223 - d. What is f rounded to 6 dps? 0.000005 Let i = -341.1 + -533.1. Round i to the nearest ten. -870 Let g = -158 + 307.11. What is g rounded to 0 decimal places? 149 Let z = -59647.930049 + 59652.83. Let s = -4.9 + z. Round s to four decimal places. 0 Suppose 0 = l - 3*h + 2*h - 10616000, -5*l + 53080000 = 4*h. Round l to the nearest 100000. 10600000 Suppose 30*c = 19*c + 17*c + 9348600. What is c rounded to the nearest 10000? -1560000 Let p = -11615 + -62387. Let t be 100*((-1)/(-5) + p/10). Round t to the nearest 100000. -700000 Let h = -44.6736 + 49.5. What is h rounded to two decimal places? 4.83 Let w(s) = -3772*s - 16. Let a be w(-1). Suppose f - a = -q + 6*q, -2260 = 3*q + f. What is q rounded to the nearest one hundred? -800 Let z = 66.18 + -0.12. Let s = z - 64. What is s rounded to the nearest integer? 2 Let h be 746/3 + (-7)/21*2. Let f be (h + (-6)/(-3))*(0 + 192). Round f to the nearest 100000. 0 Let q = 68985.09769 + 313.07631. Let r = 69157 - q. Let x = r + 141. What is x rounded to one decimal place? -0.2 Let p = 836.768 - 47.488. Let i = 806 - p. Let k = i - 27. What is k rounded to the nearest integer? -10 Let r = -0.477 + 0.48328. Round r to 4 decimal places. 0.0063 Let s = -310.1346 - -0.3346. Let x = s + 280. What is x rounded to 0 dps? -30 Let x = -34.3 - -51.5. Let a = 11.48 - x. What is a rounded to the nearest integer? -6 Let w = -62 - -81.2. Let v = w - -8.48. Let l = v - -2.12. Round l to 0 dps. 30 Let k = -246.628 - -246.5. What is k rounded to 1 dp? -0.1 Suppose -15107 = -5*o + 24688. Let t = o + -1433. Suppose 2*a = 2*s + t, -5*a = -2*a - s - 9783. What is a rounded to the nearest one hundred? 3300 Let s = -15780 + 15775.5135. What is s rounded to 0 decimal places? -4 Let g = 2.28 + -45.48. Let w = g + 59. Let r = w - 15.867. Round r to 1 dp. -0.1 Let q = 0.05881 - 92.30881. Round q to zero decimal places. -92 Suppose 8*j = 18*j - 110. Suppose -j*t + 12559 = -11531. What is t rounded to the nearest 100? 2200 Let d = -43533 + 44252.681. Let c = d + -720. Round c to two decimal places. -0.32 Let w = -874 - -875.3588. What is w rounded to 1 dp? 1.4 Let c be 16/(-2) - (-790 + 44180). What is c rounded to the nearest 10000? -40000 Let x = -111 + 231. Let g = 120.0365 - x. Round g to 2 dps. 0.04 Let k = -44425.951677 + 44426. What is k rounded to two dps? 0.05 Let c = -465 - -465.000000325. What is c rounded to 6 decimal places? 0 Let k = 54.926182 - -0.136818. Let r = 55 - k. Let b = -0.055 - r. Round b to two dps. 0.01 Let h = -33 + 31.504. Let l = -0.304 + h. What is l rounded to one decimal place? -1.8 Let w = -2182.00011366 + 2182. Round w to six decimal places. -0.000114 Let g = 18123.9999982587 - 18124. Round g to 6 dps. -0.000002 Let y = 31816.3097 + -31818. What is y rounded to two decimal places? -1.69 Let o = -39038.387 - -39003. What is o rounded to zero dps? -35 Let j = -51.374 + 51. Let g = j - -0.138. What is g rounded to 2 dps? -0.24 Let w = -2294055 + -13343945. Round w to the nearest one hundred thousand. -15600000 Let o = 5957 - 5957.00009424. Round o to five dps. -0.00009 Let x = 102403563 + -102477412.167. Let t = 73665 + x. Let i = 184 + t. Round i to one dp. -0.2 Let n(k) = -k**3 + 25*k**2 - 5*k + 130. Let u be n(25). Suppose u*s - 4*c - 5708 = 10918, -9986 = -3*s + 5*c. What is s rounded to the nearest one hundred? 3300 Let i(w) = -28665*w**3 + 15*w**2 + 4*w + 16. Let q be i(-4). Round q to the nearest 10000. 1830000 Suppose 5*w - 58*q + 56*q - 201390012 = 0, 2*q + 161112012 = 4*w. What is w rounded to the nearest 100000? 40300000 Let w = 0.554 - -2.751. Let c = w - 0.005. Let b = c - 7.8. What is b rounded to 0 decimal places? -5 Let x = -1.68 - -2. Let v = -24.16 - -16.34. Let y = v + x. What is y rounded to the nearest integer? -8 Let p = 0.114 - -172.886. Let h = -227.6033 + 54.594. Let l = h + p. Round l to 3 dps. -0.009 Let w = 375.5987624 + -375.6. What is w rounded to four dps? -0.0012 Let j = -95 + 95. Suppose -w + j*u + 11 = -3*u, 3 = -3*w - 3*u. Let a be -186*(3 + (-824)/(-6)) + w. Round a to the nearest 10000. -30000 Let k = 43.2889 - -0.0111. Let l = k + -38. Let v = 5.35 - l. Round v to 2 decimal places. 0.05 Let z = 2.6 + -25.6. Let x = -23.0000318 - z. What is x rounded to 6 dps? -0.000032 Let c = -41.87 + -5.03. Let i = c - 31.7. Round i to the nearest integer. -79 Let q = -11824 - -11345.3. What is q rounded to the nearest 10? -480 Let g = -4788 - -7988. Suppose -17*o + 25*o - g = 0. What is o rounded to the nearest one hundred? 400 Let o(f) = f**2 - 2*f + 218646. Let a be o(0). Suppose -4*r = 5*t + r - 364415, 0 = 3*t + 2*r - a. Round t to the nearest 1000. 73000 Suppose -2*i = 3*z + 281345, 5*z + i = 4*i - 468902. Let w = 142781 + z. Round w to the nearest 10000. 50000 Let n = 42 - 32. Let j be (852/n)/(10/(-50)). Let w = 246 + j. What is w rounded to the nearest one hundred? -200 Let b be 42030/75*110/4*887. Suppose -4*p = -f - b - 6530455, -3 = -p. Round f to the nearest 1000000. -20000000 Let k = -0.45 + 0.02. Let i = k + 17.83. Let g = 18 - i. What is g rounded to one dp? 0.6 Let a = 172182 + -266374. What is a rounded to the nearest one hundred? -94200 Let i = 101425.5077 - 101432. What is i rounded to one decimal place? -6.5 Let c = -5525.695 + 3789.414. Let r = c - -1734. What is r rounded to 1 decimal place? -2.3 Let p(a) be the first derivative of -269*a**2 + 214*a + 215. Let d be p(53). What is d rounded to the nearest one thousand? -28000 Let i = -270 - -272. Let k be 1*(-1)/i - 4589228/(-56). Round k to the nearest 1000. 82000 Let c = 95000.459 + 218.541. Let j = -95013.212 + c. Let z = j - 205. What is z rounded to 1 decimal place? 0.8 Let o be (2 - -2) + (-1299074)/(-7). Let d = -270586 + o. Round d to the nearest 100000. -100000 Let w = -1.536626 - 6.662917. Let d = -11.498 - -3.298. Let i = w - d. What is i rounded to four dps? 0.0005 Let i = -10.911 + 0.911. Let z = -9.97536 - 0.02864. Let n = i - z. What is n rounded to 2 dps? 0 Let y = 1002 - 1785. Let z = -780.16 - y. What is z rounded to zero dps? 3 Let y = 33.593 + -33.6. Let i = -0.1 + 0.101. Let p = y + i. Round p to three dps. -0.006 Let o = 2810.271 - 2815. What is
{ "pile_set_name": "DM Mathematics" }
118 Rearrange -38 - 8*i**2 + 38 + (-i**2 - 2*i**2 + 4*i**2)*(-2 + 0 + 0) - 46 - 18*i**2 + 24 + 20 to the form f*i + a*i**2 + c and give a. -28 Rearrange -3*n**3 + n**3 - 16*n**4 - 20*n + 19*n**4 - 7*n to the form k*n**4 + h*n**3 + d + v*n + c*n**2 and give k. 3 Rearrange 4 + 0 - 5 - 4*l to c + n*l and give n. -4 Rearrange (5*q - 10*q - 18*q - 10*q)*(-4 - 6 + 4) to the form m + i*q and give i. 198 Rearrange -6*g - 33*g + 106*g + 134*g to q + r*g and give q. 0 Rearrange (52 + 6 - 9)*(5*i + 14*i - 9*i) to u + g*i and give g. 490 Rearrange -36*q + 3 - 2 - 304*q - 2 to k + h*q and give h. -340 Rearrange (52*n - 6*n - 10*n + (-5*n + 5*n - 3*n)*(-1 + 8 + 3))*(-2*n**2 - 4 + 5 - 3) to the form b*n**3 + x*n**2 + v*n + u and give b. -12 Rearrange 2 - 4*r**4 + 4*r**3 + r**2 + 30*r + 5*r - 34*r to g*r**4 + c*r**3 + f*r**2 + h*r + q and give h. 1 Rearrange 3 - 3 - 9*o + (1 - 5 + 2)*(-6*o - 1 + 1) + 6*o + 2*o - 3*o to the form a + z*o and give z. 8 Express -5*m**2 + 11*m - 2*m - 11*m + 3*m**2 - 6*m**3 in the form q*m**3 + l*m**2 + n + v*m and give q. -6 Rearrange (0*v + v - 3*v)*(506*v**2 + 127*v**2 - 4094*v + 4094*v) to the form t*v**2 + p + s*v**3 + y*v and give s. -1266 Rearrange (16*o - 48*o + 13*o)*(-15 + 38 + 13) to j + y*o and give y. -684 Rearrange -141*c + 111*c - c - 365*c - 380*c to j*c + h and give j. -776 Rearrange 6*u**3 - 6*u + 4*u - u**2 - 3 - 10*u**3 + 2*u to the form d*u**2 + q*u + a + j*u**3 and give a. -3 Rearrange (1 + 5 - 4)*(0 - 2 + 0)*(1 - 1 - 2*b**2) + 19*b - 76*b**2 - 19*b to the form h*b + p + j*b**2 and give j. -68 Express 0*p - 4*p + 5*p + (-2*p - p - 4*p + (1 - 2 + 0)*(-6*p + 2*p + 2*p))*(4 - 5 + 18)*(-4 - 3 + 3) as n*p + a and give n. 341 Rearrange (-123768 + 123768 + 1229*n**2)*(-2 + n + 2) to the form g*n**2 + c*n**3 + o*n + f and give c. 1229 Rearrange (6 - 2 - 3)*(-2 + 2 + 2)*(-54*t**3 - 87*t + 87*t) to the form s + a*t**3 + b*t + u*t**2 and give a. -108 Rearrange -1 + 6*y**2 + 12*y**2 - 21*y**2 - 2*y**4 + 5*y**2 to g*y**4 + j + a*y**2 + o*y + i*y**3 and give g. -2 Rearrange -1185*o**2 - 233 + 233 to the form q*o + d + c*o**2 and give c. -1185 Express 2*n - 257*n**3 + n + 249*n**3 + n**4 as r*n**2 + w*n**3 + d*n**4 + m*n + z and give m. 3 Rearrange 88 + 7*i**2 + 10*i**2 - 28*i**2 + 13*i**2 - 663 to the form q + d*i**2 + s*i and give q. -575 Rearrange -2811*i - 2808*i - 8 + 5616*i + 0 + 0 + i + (3 + 2 - 6)*(-1 + 1 - 2*i) + 0*i - 2*i + 3*i - 3 - i + 3 - 2*i + 4*i + 0*i to y*i + c and give c. -8 Rearrange (9 - 29 - 4)*(-33 + 33 - 7*i) to b*i + r and give b. 168 Express (741 + 940 + 653 - 761)*(3*z - 5*z + 3*z) in the form x + m*z and give m. 1573 Rearrange g**2 + 1 + 8*g**2 + 2 + 3*g**3 + 14*g**4 - 16*g**4 to v*g**4 + a*g**3 + k*g + d*g**2 + z and give z. 3 Rearrange (-2 + 1 + 0)*(3*p**2 - 4*p**2 - 2*p**2)*(-135 - 19*p + 135) to the form h + m*p**2 + x*p + i*p**3 and give i. -57 Express u**4 - 2*u**4 + 3*u**4 + (-2 + 2 - 2*u)*(1023 - 528 - 562)*(4*u**3 - 2 + 2) in the form j*u**2 + p*u**3 + r*u + o*u**4 + n and give o. 538 Express (3*g - 4*g - 3*g)*(-4 - 2 + 0)*(-2*g**3 + 0*g**3 - 3*g**3) as h*g**3 + b*g + w*g**2 + l + o*g**4 and give o. -120 Rearrange 329*o - 85462 + 85462 to the form h + q*o and give q. 329 Rearrange -23*x**3 + 38*x + 21*x**3 + 12*x**3 to r*x + j + b*x**3 + t*x**2 and give r. 38 Rearrange -212 + 6*v - v**4 + 2*v**3 - 8*v + 213 to the form z*v**4 + d + x*v**3 + n*v + r*v**2 and give z. -1 Express 62 - 124 + 62 - 107*o**2 - 120*o**2 as q*o + w + l*o**2 and give l. -227 Express (-2*i + 2*i - 2*i**2)*(-3*i - 4*i + 4*i)*(-2524 + 61*i + 2524) as x*i + p*i**4 + d + b*i**3 + w*i**2 and give p. 366 Rearrange (-65 + 190 - 60 + 3959*u - 65)*(3*u + u - 5*u) to n + m*u + d*u**2 and give d. -3959 Rearrange (3 - 4 - 1)*(-14*l**2 + 131*l - 131*l)*(1 - 6 + 1)*(-3 + 5 + 4)*(0*l**2 - 2*l**2 + l**2) to b*l**2 + d*l**3 + x*l + v + t*l**4 and give t. 672 Express (0*g - g**3 + 0*g)*(-3 + 1 + 3)*(-3*g + 5*g - 4*g - 3*g - 2*g + 3*g + (5 - 3 - 3)*(-1 + 2*g + 1)) as f*g + a*g**3 + p + i*g**2 + x*g**4 and give x. 6 Rearrange 4 - f - f + 2*f**3 - 20 - 5 to the form o*f + z*f**3 + q*f**2 + w and give w. -21 Rearrange w - 32 + 17 + 9 - w**2 to y*w**2 + j + x*w and give y. -1 Express -28*v + 42*v + 7*v + 2*v**2 as x*v + z + g*v**2 and give x. 21 Express (-4*i**2 + i**3 + 4*i**2)*(6*i - 7*i + 11*i)*(-4 + 3 - 12) as w*i**4 + g*i + t*i**3 + b + k*i**2 and give w. -130 Rearrange 2*d**2 + 2 + 51*d - d**3 - 50*d - 4 - 19*d**4 - 19*d**4 to the form x*d**2 + q + y*d**3 + b*d**4 + t*d and give x. 2 Express -2 + 4 - 64*g - 7 + 147*g in the form r + z*g and give z. 83 Express (5*n**3 - 2*n**3 - n**3)*(65*n - 212*n - 266*n) as y*n + o*n**4 + j*n**3 + z*n**2 + d and give o. -826 Rearrange 66*g**3 + 81*g**2 - 69*g**3 - 82*g**2 + 8*g**4 - g to the form l*g**3 + o*g**2 + c + j*g + k*g**4 and give j. -1 Rearrange (-5*y + 13*y - 10*y)*(y - 2*y - y - 4*y + 2*y - 4*y + (2*y + 5*y - 5*y)*(-5 + 0 + 2)) to f*y + m*y**2 + s and give m. 28 Rearrange (15*z + 3*z - 6*z)*(2*z**2 - z**2 + z**2) - 2*z + 5*z + 0*z**3 - 4*z**3 to the form n*z + w*z**2 + i + r*z**3 and give r. 20 Rearrange -3*n**3 - 25*n - 29*n - 152*n**2 + 6*n**3 + 53*n to f*n**2 + i + r*n**3 + z*n and give z. -1 Rearrange -o**4 + 15*o + 5 - 11*o - 4 to j*o**4 + u + b*o + l*o**3 + m*o**2 and give b. 4 Express -5 + 710*a - 706*a - 8 as y*a + v and give v. -13 Rearrange ((-1 + 5 - 3)*(-1 + 3 - 3) + 10 + 2 - 9)*(2 - 4 + 21)*(-5*q + 3*q + 0*q) to the form j*q + w and give w. 0 Rearrange -33*d + 15*d + 16 + 10*d + 13*d to the form i*d + z and give z. 16 Express (0 + 2 - 1)*(5 - 3 - 7)*(-6*l - 11*l + 12*l - 1) - 7*l + 3 - 3 as t + i*l and give i. 18 Express (0 + 2 + 0 + (0 + 1 - 2)*(-3 - 3 + 4) + 3 - 4 + 4 - 3 + 0 + 1)*(-44 + 44 + 12*m) in the form k + z*m and give z. 60 Rearrange (8*c - 8*c - 2*c**2)*(271 + 245 - 84 + 0) to g*c + n*c**2 + y and give y. 0 Rearrange (3*n + 16 - 3 + 4*n)*(-2*n**3 + n**3 - 2*n**3) + 2*n**4 + 3*n**4 - 4*n**4 to s*n**2 + l*n**4 + d + y*n**3 + b*n and give y. -39 Rearrange -z**2 + 2*z**2 - 13*z - 9157*z**3 - 3 + 9158*z**3 to the form i*z**3 + v*z**2 + n + j*z and give n. -3 Express -12*x**2 - 13*x**2 + x**3 - 5*x**2 + 4 + 27*x**2 as s*x + c*x**2 + z*x**3 + l and give l. 4 Rearrange 7 - 4*t**3 + 0*t + 5*t + 7*t - 6 + 5*t**3 to the form r + w*t**3 + x*t**2 + y*t and give r. 1 Rearrange (h - 3*h + h)*(-792 + 2437 - 9350) to the form q + n*h and give n. 7705 Rearrange -10*u + 2*u - 17*u + 508 - 495 to z*u + b and give z. -25 Express 39 - w + 8*w**2 + 18*w**2 - 40 + w + 2*w**3 in the form v*w + c*w**2 + x*w**3 + j and give j. -1 Express q + 110*q**3 + 2 - 74*q**3 - 60*q**3 as b + d*q + z*q**3 + v*q**2 and give b. 2 Express (2*n**4 - n**4 + 0*n**4)*(-5 + 0 + 3)*(-76 - 71 + 10) as b*n**3 + c*n**2 + a + i*n + k*n**4 and give b. 0 Express (-k**3 - 3*k**2 + 3*k**2)*(-6*k + k + 4*k) + k**4 - 3*k**4 - 4*k**4 + 19*k**4 + 15*k**4 - 30*k**4 as l + x*k + a*k**2 + i*k**4 + p*k**3 and give i. -1 Rearrange (2*g - 3*g - g)*(-2 + 2 - 2*g) + 79*g**2 - 80*g**2 + 1232 + 3*g + 947 to the form p*g + n + f*g**2 and give f. 3 Express 83*j**4 - 46*j**4 + j**3 - 39*j**4 + 10 in the form d + p*j + k*j**2 + z*j**4 + m*j**3 and give m. 1 Express 3*c - 6*c - 3 + 4*c - 3*c + 6*c - 8*c + (0 + 1 - 2)*(-3 + 2*c + 3) + (-c + 5*c - 5*c)*(5 - 6 + 0) - 5*c + 11 - 11 in the form h + n*c and give n. -10 Express 22*n - 19*n + 2 + 52*n + 6 + 12*n in the form j*n + b and give j. 67 Rearrange (0 - 1 - 2)*(34424*o + 44 + 26 - 34422*o)*(2*o + 0 - 1 - 4) to the form r*o + p + u*o**2 and give r. -390 Express 665*l + 675*l - 1339*l + 2 - 2*l**2 + l**4 + l**3 in the form g*l**2 + o*l + v*l**3 + k + t*l**4 and give o. 1 Express -6*b - 27*b - 85*b + 1 in the form v*b + a and give v. -118 Express (o**2 + 6*o**2 - 5*o**2)*(-59 + 59 + 10*o) + 72 - 65 + 8*o**3 - 3*o**3 as m*o**2 + i*o**3 + b*o + l and give i. 25 Express 5*g + 3*g - 9*g + 61 - 17 in the form n*g + k and give k. 44 Express 753 + f**2 - 753 + 129*f**2 + (-4*f**2 + f**2 - f**2)*(-2 + 2 - 2) in the form t + q*f + m*f**2 and give m. 138 Express 67*v + 104*v - 589*v + 9*v - 388*v in the form j*v + g and give j. -797 Express 4 - 6 + m - 5*m**3 + m - 2*m**2 + 2*m**4 in the form j + f*m**3 + c*m**2 + b*m + o*m**4 and give f. -5 Express 11735*z + 410*z**3 + 49*z**3 - z**4 - z**2 -
{ "pile_set_name": "DM Mathematics" }
a Let a = 254 - 252.8. What is the third biggest value in -5, a, 0.8? -5 Suppose 6*r + 88 = 5*r. Let c = r + 265/3. What is the smallest value in c, -1, 2/5? -1 Let k be -46*3/(-36) - 4. What is the smallest value in k, -0.05, 2/3, -3? -3 Let w = 21.977 + 0.023. Let b = w + -24. Let i = -2.1 - b. What is the third smallest value in -0.2, -4, i? i Let i be 1 - (-5 - (-6)/252*254). What is the second biggest value in 0.08, i, -4/3? i Suppose -35*q - 402 - 18 = 0. What is the third biggest value in 1/3, q, -5, 20? -5 Suppose -l = 1 - 5. Let i be (-4)/(48/(-7)) - 1/l. What is the third smallest value in -5, i, 2, -0.3? i Let v = 8012/9 - 890. Which is the third smallest value? (a) v (b) 2 (c) -1.1 b Let o = -2443 - -2440. Which is the third smallest value? (a) -13 (b) 2 (c) o (d) -18 c Let r = 1.97 + -6.16. Let d = -0.19 - r. Let f be ((-2)/(-20))/(2/(-5)). What is the second biggest value in f, d, -6? f Let u = 2448/5 - 488. Which is the third smallest value? (a) -3 (b) 2/7 (c) -1 (d) u b Let c = 2.15 - 1.85. What is the third biggest value in c, 3/7, -2? -2 Let p = 347.7 + -348. Let r = -0.1 + 4.1. Let m = r + -1. Which is the second biggest value? (a) p (b) -0.1 (c) m b Let f = 226 + -230. Which is the third biggest value? (a) -13.9 (b) -0.3 (c) 0.4 (d) f d Let s = -19.1 - -13.22. Let u = 0.12 - s. What is the biggest value in -3, -4, u? u Let i be 38 + -48 - 142/(-14). What is the third smallest value in i, -313, -3/2? i Let q = 0.0539 - 2.0539. What is the second smallest value in q, 0.3, -1/306? -1/306 Let g = 3 - 2. Let b = -98.75 + -2.25. Let k = b + 100. What is the second biggest value in g, k, -2/7? -2/7 Let p = -20/63 - -2/21. Let y = -91 + 95. Which is the third biggest value? (a) p (b) y (c) 1 (d) -0.1 d Let u = -0.19 - -0.05. Let q = -3.14 - u. What is the third smallest value in q, 2/3, -0.5? 2/3 Let u = 0.16 - 0.06. Let n = -25 - -47. Let l = n + -21.5. Which is the third smallest value? (a) u (b) l (c) -1/4 b Let w = -43.2 + 43.6. Which is the fourth smallest value? (a) 3/4 (b) 13/3 (c) w (d) -0.5 b Suppose 4*f + 4*x = 0, -3*x - 10 = -f - 2*x. What is the third smallest value in f, 0, -113? f Let f = -0.04 + 0.31. Let r = f - 0.27. Let c = -50 - -249/5. What is the third biggest value in -3/5, r, c? -3/5 Let n(r) = -5*r**2 - 56*r - 7. Let w be n(-11). Which is the second smallest value? (a) -3 (b) 0 (c) -5 (d) w a Let n = -9 + 4. Let d = 4.08 + -7.08. Which is the biggest value? (a) n (b) -4/5 (c) d b Let n = -162.2 + 162. What is the biggest value in -0.1, 4, n? 4 Let f = -0.1585 + -12.8415. Which is the biggest value? (a) -9 (b) f (c) 4 (d) -3 c Let n be ((-4)/18)/((-4)/6). Suppose 0 = -5*u + 3*q + 146, -q + 92 = 3*u - 5*q. Let s = 25 - u. What is the third biggest value in -0.4, n, s? s Let v = 0.9 - 0.74. Let g = v + 0.94. What is the third biggest value in 5, g, 0.3? 0.3 Let r = -951.4 - -951. Let v = -3.03 - -0.03. What is the third biggest value in -3/8, v, r? v Suppose 33 = -4*j - 5*s, -4*j + s - 6 = -3. Let u = -403/4 + 102. Let t = -1.3 + 0.3. What is the second smallest value in t, j, u? t Suppose 0 = 3*h + h - 16. Let i = -1 + h. Let g be 5/i*(-5)/(-75). What is the third smallest value in 2/3, g, 1? 1 Let y = 15 + -57. Let c = 40 + y. What is the third smallest value in 2, -5, c, 0.5? 0.5 Let u be (10/6 + -2)*123/(-287). Which is the second smallest value? (a) -1/2 (b) u (c) 2 (d) 4 b Let q = -78430 + 547348/7. Let i = -238 - q. Which is the third smallest value? (a) 1 (b) i (c) 2/25 a Let r = -10 + 9. Let j = 0.14 + 18.86. Let h = 18.9 - j. Which is the third smallest value? (a) -0.3 (b) r (c) h c Let n = -3.8 - -3. Let m = -3.8 - n. Suppose 0 = -2*t - 3*t + 5*x, -5*t - 4*x = -18. What is the second biggest value in m, t, 1? 1 Let x = -389 - -406. What is the second biggest value in 1, 4/3, x? 4/3 Let x be (-2)/(-4*(-11)/22). What is the biggest value in x, -2, -25? x Let c = -4/3 + 37/21. Let k = 1 + -3. What is the second biggest value in k, -2/9, c? -2/9 Let b = -86 + 85.8. What is the second smallest value in 47, -1/4, b? b Let d be ((-4)/10)/((-8)/10). Let s be -1 + (-88)/(-14) + 140/(-490). Which is the second smallest value? (a) d (b) s (c) 2/9 a Let y(f) = -f**2 - 7*f. Let p be y(-8). Let r be 2/4 - (-6)/p. What is the third smallest value in 1/4, -3/7, r? 1/4 Let v = -71/26 - -42/13. Let r be 1*(-2 + 7)*-3. Let w = r - -11. Which is the third biggest value? (a) -2/5 (b) v (c) w c Suppose -10 = -4*m + 6. Let u = 214 + -215. What is the fourth biggest value in u, m, 2/9, 4/5? u Let r = -224 - -128. Let i = r - -95. What is the second biggest value in -5, -2/5, i? i Let x = 44 + -44.2. What is the fourth smallest value in x, 1/3, 4, -0.5? 4 Let k = -204.1 + 204. Suppose 3 + 18 = 3*q. Let y be (6/4)/(q/2). Which is the biggest value? (a) -3 (b) y (c) k b Let q = -4.9 - -5. Let w = -10.4 + -1.6. Let o = 17 + w. What is the third biggest value in q, -9, o? -9 Let j be ((-1 + 2)/1)/((-24)/9). Let t = 11.24 + -11. Let m = -0.06 - t. What is the second biggest value in m, j, -1/4? m Let o = -0.205 - 0.095. Let d = -2914/13 - -224. What is the third smallest value in -0.5, 0.5, d, o? d Let o = 0.213 + -0.413. Which is the second smallest value? (a) 2 (b) 3 (c) o (d) 4 a Let m = -383 + 387.2. Which is the smallest value? (a) 3/4 (b) 0.3 (c) m (d) 1/3 b Let b = 311/3 - 103. Let o = 0.5 + -0.2. What is the third smallest value in -3, o, b? b Let x = 124 + -123. What is the fourth smallest value in x, -0.5, 6, 9? 9 Let y = 20.6 + -53.4. Let x = y - -33. Let t = 0.04 - 0.04. Which is the second biggest value? (a) t (b) x (c) 3 b Let h = -15.83 - -15.48. Which is the biggest value? (a) 2/5 (b) h (c) 0.1 (d) -4 a Let i be (3/1)/((-27)/(-6)). Suppose o = 3*z + 3, -4*o = -z - 4*z - 5. What is the third biggest value in i, o, 6? o Let u = 176 + -177.46. Let i = 4.46 + u. Which is the second smallest value? (a) i (b) -4/7 (c) -16/9 b Suppose 3*j - 7*j - 12 = 0. Let k be (-2 - -4) + j - -5. Suppose k*q - 9*q = -95. Which is the second biggest value? (a) 4 (b) q (c) -5 a Suppose 7 = -2*f + 13, m + 2*f = -38. Which is the third smallest value? (a) 2/11 (b) m (c) -5 a Let v = 0.029 + 0.011. Let k = -290.2 - -290. Which is the biggest value? (a) 5 (b) v (c) k a Suppose r + 12 = 4*r + 2*z, 0 = -2*r + 4*z - 8. Let w be 0 + 1/((-7)/r). Let o = 29.93 + -24.93. Which is the biggest value? (a) w (b) o (c) -4 b Let w be -2*(1 + 0)*28/392. Which is the second smallest value? (a) 2/3 (b) -20 (c) 0.7 (d) w d Let v = -7.34 - -6.34. Which is the biggest value? (a) 2/11 (b) v (c) -3 a Let k = 3.136 + -21.926. Let t = 0.21 - k. Let c = 18 - t. What is the smallest value in -4, 3, c? -4 Let x = 90 - 93. Suppose -u + 3*b + 0 - 5 = 0, 5*b = -3*u + 13. Let s be 30/(-18) + 0/u. What is the third biggest value in x, s, -2/13? x Let n(g) = 7 - 7 - 3*g. Let m be n(6). Let h be 188/36 + 4/m. Which is the second smallest value? (a) 5/2 (b) h (c) -3 a Let v = 0 - -4. Let o = 9698.8 + -9699. What is the biggest value in o, v, 41? 41 Let y = -0.1 - -0.6. Let j = 15 - 14. Let i = -29/65 - -3/65. What is the third biggest value in j, i, y? i Suppose -18*x + 19*x - 2 = 0. Suppose x*t + 15 = -5*g, -t = -4*g + t - 12. Which is the third smallest value? (a) -4 (b) 5 (c) g b Let h = 186.8 + -187. Which is the second smallest value? (a) 2/3 (b) -1/4 (c) h (d) -0.8 b Suppose 3*g + 7 = 5*g + c, -3*g - 9 = -5*c. Suppose 5*f - 18 = g. Let z = 16 - 13. What is the second smallest value in z, 5, f? f Let r be (545/75 + 3)*-5. Let p = -52 - r. Which is the biggest value? (a) 5 (b) p (c) 0 a Let b = 2.94 - 3. Suppose -5*g + 2*o + 265 = 0, -5*o - 178 = -g - 2*g. Let x = g + -305/6. What is the second biggest value in 1/8, x, b? 1/8 Suppose 0 = 2*g - 4*g. Let q = -9 + -7. Let s = q + 19. Which is the third biggest value? (a) -3/5 (b) s (c) g a Let z = -0.8 + -0.1. Let j = -1.2 - z. Let t = 1.08 - 0.78. Which is the biggest value? (a) j (b) 4 (c) t b Let i = -34/9 - -28/9. What is the second biggest value in 0, i, 15, -0.2? 0 Let y = -19.55 + -0.45. Which is the third biggest value? (a) y (b) -1/5 (c) 3 a Let u = 1.71 - 0.21. Let j = 0.96 + 0.14. Let b = j
{ "pile_set_name": "DM Mathematics" }
be (-3)/(-9) + r/(-12). Which is greater: v or -1/9? -1/9 Suppose u = -10*h + 11*h + 68, 0 = -5*u - h + 352. Let x be 30/u*(0 + -1). Is 10 equal to x? False Let i = 2575/26 - 99. Let x = -0.801 - -6.801. Which is greater: i or x? x Let c = 263/3 + -86. Which is smaller: 2/35 or c? 2/35 Let f = 1.79 + -1.69. Does -192 = f? False Suppose 4*c = -5*r + 11, 5*r - 4*c = c - 25. Is r >= 9/19? False Let g be (4 + -3)*(-140)/(-155). Which is greater: g or 2? 2 Suppose 40 = 2*i + 2*u, 5*u = i - 4*i + 56. Let b be 4/(-6)*(4 - i). Let f = 20 - b. Which is smaller: f or 5? 5 Let z be ((-1)/12)/(134/1809). Suppose -3*n = 2*m + 14, -m = 3*n + 20 - 7. Which is greater: z or m? m Suppose 2*u - 9 = 3*j, -3*j - 16 = -u - 10. Is j at most 2/891? True Let u = 4.91 + -31.91. Let c = -4 - -2. Which is greater: c or u? c Let v be 6 + -5 + (-1)/(-1). Let x be (-9)/2*(0 + 4). Let q be ((-78)/x)/(v/(-6)). Which is greater: -14 or q? q Let k = -36 - -32.4. Let y = k + 3.5. Is 0.1 less than y? False Let j be (-42)/(-40)*(-43)/(4902/(-48)). Is -1 at least j? False Let y = -219 + 219. Which is bigger: -10/59 or y? y Suppose -9 + 15 = 3*j. Suppose 3*p - 1 = -5*i, -3*p - j = 4*i - 4. Suppose p*z + 2*z - 64 = 0. Is 16 equal to z? True Let t be 394/4 + 1/(-2). Suppose 7*m - 63 = t. Is m at least 23? True Suppose -5*d = 5*g - 3*d - 144, g + 3*d - 21 = 0. Is g at least -0.6? True Let w = 1923 - 1973. Which is smaller: -4 or w? w Let j be (-401)/(-2)*24/156. Let w = 5 + 26. Let l = j - w. Is 1 smaller than l? False Let x = -0.024 + -20.976. Let v = 23 + -45. Let s = x - v. Which is smaller: 1/7 or s? 1/7 Let r be -14 - -6 - (-7 - 0). Is -2/529 at least as big as r? True Suppose -27*f = -16*f + 15*f - 156. Let m be 7/2 + 2/4. Is m at least f? False Let q = -34 - -29. Let l = -5 - q. Is l < 1/6? True Suppose 8*m - 168 = -224. Let i = -865/148 + 7/74. Which is bigger: i or m? i Let w(i) = -i**2 + 3*i + 6. Let t be w(5). Suppose l = 35 - 33. Suppose 0 = 5*d - l*d + 15. Which is smaller: d or t? d Let r(w) = w - 7. Let n be r(8). Is -2/1607 less than n? True Suppose 310*r = 309*r + 31. Suppose 4*z - 112 = -3*a, -4*a - 128 = -4*z - 3*a. Is r greater than z? False Let j(x) = -35*x + 25. Let o be j(11). Let u be -3 + (-13)/(325/o). Is 12 at most as big as u? False Suppose -5*a = 3*z - 4*z + 10, -2 = -2*z + a. Let l(y) = 2*y**2 - 1 - y**2 + 7*y**3 + z. Let m be l(-1). Which is smaller: m or -1? m Let u = -2662/43 - -62. Are u and -1 nonequal? True Let h be 8 - 15/((-45)/(-24)). Is h equal to 1/1135? False Suppose -3*m + 15 = 4*a, -4*m - 5 = -5*a + 2*a. Let i be ((-2)/(-14)*a)/(2/14). Let v(p) = p**3 - 5*p**2 + 5*p + 1. Let g be v(4). Which is smaller: g or i? i Let k(l) = -6*l - 4. Let j be k(-1). Let b be 45/105 - (-106)/14. Which is greater: j or b? b Suppose -80 = -4*z + 4*x, -5*z - 5*x = -117 + 7. Suppose t = 7*w - 3*w + z, -2*t - 4*w = 6. Is t > 5? False Suppose 3*o - 2*b = -13, -2*o - 2*b = -5*b + 12. Let f be o/(-1 + 2/3). Let v be -2*(15 - (5 + 3) - (-25)/(-2)). Does v = f? False Let o be -4 + 1 + -119 - 3. Let x = o - -225. Suppose -x = 3*u + 2*u. Which is smaller: u or -21? -21 Suppose -6*a + 3*a = 63. Suppose -5*y - 8 = -6*y - 4*q, 5*q - 10 = 0. Does a = y? False Let i(h) = h + 8. Let j be i(-6). Let y = 4 - j. Suppose 3*f + 85 = -y*f. Do -18 and f have the same value? False Suppose 154 = -9*p - 1160. Which is smaller: 0.4 or p? p Suppose 2*r + 4 = -4. Let y(j) = -j + 2. Let l be y(r). Let m be l/64*(2 - 14). Is m smaller than 0? True Let o = 39495/1529 - 27/139. Do o and 25 have the same value? False Suppose 2 = 4*t - 46. Suppose -u - t = -3*u. Is 5 at most as big as u? True Let f be (-2)/(-276)*2*-2. Suppose 0 = -o - 5*v + 19, 3*v + 2*v - 20 = 0. Let g be (-1)/(-7)*o*-2. Are g and f non-equal? True Let h = -13.9695 + 0.1695. Which is smaller: 0 or h? h Suppose -7*o = 10*o + 34. Which is smaller: -26/23 or o? o Let a(w) = 2*w + 3. Let m be a(0). Suppose 0 = 3*d - 6 - 3. Is d greater than m? False Let p(r) = -r - 12. Let f be p(-16). Suppose 2*n = -c + 42, 5*n - 5*c = -f*c + 91. Do 2 and n have the same value? False Let a = -4/887 + -1722/11531. Which is bigger: a or -0.73? a Suppose 3*i = -3*m + 3, -m + 9*i = 11*i - 3. Which is smaller: m or 2/5? m Let o be (8/(-14))/(90/(-126)). Let z = -2/15 + o. Which is bigger: z or -5? z Let k = -4687/254 + -6/127. Which is bigger: k or 2? 2 Let f = 0.5 + -0.4. Let d = 336 - 221. Let z be 25/20 - d/90. Which is bigger: z or f? f Suppose -9*g - 3 = -8*g - 3*u, -u = 2*g + 27. Let d = g - -16. Are 0.06 and d non-equal? True Let s = -164 + 6395/39. Are -1 and s equal? False Let x = 17 - 13. Let j be x*1*(-25)/(-50). Does -0.6 = j? False Let n be -3*92/(-12) + 1. Let c be 0/(-2)*8/n. Are 5/11 and c unequal? True Suppose 3*w + 137 = -4*f, -f - 33 = 26*w - 24*w. Suppose 0 = -4*u - 4*o - 132, -o + 162 - 25 = -4*u. Is u greater than or equal to f? True Let r = 3.5 + -3.505. Let m = r + -0.995. Which is bigger: m or 0? 0 Let j = -5 + 4.97. Let l = -97 - -96.93. Let x = j + l. Which is smaller: 8 or x? x Suppose -430*i - 180 = -429*i. Which is greater: -179 or i? -179 Suppose -12 = -2*k - 6. Let o be k + -1 + (0 - -1). Suppose m + 3*s - 1 = 0, 5*s + 14 = o*m + 3*s. Which is smaller: m or 2? 2 Let f = -399/2 + 2699/14. Is -8 at most as big as f? True Let t(c) = c**3 - 17*c**2 + 3. Suppose 2*l - 5*k = 44, l - 2*l = 3*k - 11. Let g be t(l). Suppose -15 = -2*v - g*v. Which is smaller: 0 or v? 0 Let b(v) be the second derivative of -v**5/20 + v**4/12 + v**3/2 - 3*v**2/2 + 3*v. Let f be b(-2). Let t be (-5)/(-3) - (-2)/(-3). Are t and f equal? False Let j(x) = -111*x**3 + 4*x**2 + 5*x + 4. Let m be j(-1). Is m less than or equal to 115? True Let m be (6/18)/(-3*21/27). Suppose 0 = 2*r - 4*u - 14, -4*r + 0*u + u = 0. Is m at most as big as r? False Let k = 0.04 + -0.06. Let h = 0.1 - k. Let x = h - -1.88. Is x < -2/5? False Let p = -102 + 97. Is -7 at least as big as p? False Let f = 43.3457 + 0.0543. Is f > -1? True Let q = -2578 - -299049/116. Is q at least 2/11? False Let h = -75.66 + 75. Let o = h - -0.56. Are 0.003 and o non-equal? True Let z = -37 + 37.3. Let w = 0.3 - z. Which is greater: 5 or w? 5 Suppose -2*p + 12 = 4. Let u be (-1)/p - (-34)/72. Let g = -124 + 124. Which is greater: u or g? u Suppose -34 - 68 = -17*u. Suppose 0 = -10*h - 6 + u. Is 4/13 > h? True Let n = -186 + 262. Is n < 75? False Let m be 9/(-15) + 954/265. Is m < 31/4? True Suppose v = -3*v - x + 226, -5*x + 178 = 3*v. Is 56 bigger than v? False Let y be 5 + -3 - ((-1476)/(-21) + 2). Which is greater: -70 or y? -70 Let u = -206 + 208. Is u >= 13/7? True Let g = -87 + 39. Let r = 254 + -2112/7. Let x = r - g. Are -1/4 and x non-equal? True Let o = 6.5 - -22.5. Let s = 28.88 - o. Which is greater: -1 or s? s Suppose 94*w - 93*w + 2 = 0. Suppose -5*b + 4*v = 2 + 39, 5*b + v + 21 = 0. Which is smaller: w or b? b Suppose -2 = 2*l + 4*o, o - 19 = l - 21. Is l >= -4/113? True Suppose 0 = 2*p + 3*y + 10, -10 = 4*y + 6. Which is bigger: p or -2/77? p Let v = 12 - 20. Which is smaller: v or -1? v Let c be 5 + 8/(-28)*8 - 3. Is c at most 1/28? True Let o = 2.86 + -12.86. Which is smaller: -2 or o? o Let i = -8/9 + 106/99. Let f = -0.162 - 0.038. Which is smaller: i or f? f Let d(h) = -16*h**3 + h. Let k be d(-1). Suppose -2*n = 3*s + 45, 2*s - n + 15 + k = 0. Let t be 9/s - (-28)/80. Is t smaller than 1? True Suppose 16 = -0*s + 2*s. Let y(v) = 44*v + 1154. Let c be y(-26). Is c not equal to s? True Let g be 6/(164/54 + -3). Let h = 1456/9 - g. Is 0 smaller than h? False Let q be (-5)/((-25)/(-4)) + 112/(-35). Let r(f) = 3*f + 1. Let v be r(-1). Do v and q have the same value? False Let c = -0.333 + 0.233. Which is smaller: c or 5/3? c Let r(y) = y**3 + 32*y**2 - 42*y - 297. Let a be r(-33). Let h be (-38)/48 + 1/(-3). Which is smaller: a or h? h Let b = -53.04 - -38. Let h = b + 0.54. Let m = h + 15. Is m at least 2/3? False Let r be (-4)/16 + 169/4 + 2. Which is bigger: 43 or r? r Let z = -209 - -211. Which is greater: z or 37? 37 Suppose 5*x + 420 = 4*k, 3*k + x - 77 = 257. Let n = -71 + k. Is n > 39? False Let l = 5071 + -3940165/777. Is 0 smaller than l? True Let g be 3/2 - ((-1358)/(-4))/(-7). Suppose 4*m - 2*f = -2 - g, 4*m + 5*f + 52 = 0. Is -13 at most m? True Suppose 4*c =
{ "pile_set_name": "DM Mathematics" }
le of 4232 and 240. 126960 What is the lowest common multiple of 1695 and 458? 776310 Calculate the least common multiple of 99300 and 13240. 198600 Calculate the lowest common multiple of 2052 and 3572. 96444 Calculate the common denominator of -55/146 and 51/1022. 1022 Calculate the common denominator of 61/492 and 52/1893. 310452 Calculate the smallest common multiple of 406536 and 4. 406536 What is the lowest common multiple of 12544 and 1764? 112896 What is the common denominator of 13/1089 and -59/204? 74052 What is the lowest common multiple of 2822 and 1020817? 34707778 What is the least common multiple of 182 and 35328? 3214848 What is the common denominator of 12/331 and -18/2317? 2317 Find the common denominator of -38/3339 and -73/4611. 96831 What is the least common multiple of 3204 and 60876? 60876 Find the common denominator of -77/24603 and -56/270633. 270633 What is the common denominator of 43/44704 and 85/76? 849376 Calculate the least common multiple of 736 and 158. 58144 What is the least common multiple of 326764 and 816910? 1633820 Calculate the common denominator of -161/264 and 25/23232. 23232 What is the lowest common multiple of 731 and 5418? 92106 Calculate the least common multiple of 1166 and 530. 5830 Calculate the common denominator of -121/16180 and -81/130. 210340 Calculate the common denominator of -1/8454 and 55/6. 8454 Calculate the smallest common multiple of 61474 and 196. 860636 Find the common denominator of 67/351 and 23/165. 19305 Calculate the smallest common multiple of 5060 and 11960. 131560 Calculate the common denominator of 109/2950 and -53/1115. 657850 What is the common denominator of -17/3924 and 11/81? 35316 What is the common denominator of -1/160 and -17/360? 1440 Find the common denominator of 1/30903 and 17/6. 61806 Calculate the lowest common multiple of 266916 and 13688. 533832 Calculate the smallest common multiple of 374 and 29818. 327998 Calculate the lowest common multiple of 40 and 1470. 5880 Find the common denominator of -41/110186 and -77/2978. 110186 Calculate the common denominator of -143/720 and 29/4320. 4320 Calculate the smallest common multiple of 17986 and 6647. 305762 Calculate the least common multiple of 2884 and 3502. 49028 Calculate the common denominator of -25/5908 and -107/1560. 2304120 What is the least common multiple of 744198 and 1551? 8186178 Find the common denominator of 89/23644 and 77/1656. 425592 What is the common denominator of -47/9 and 39/4897? 44073 What is the lowest common multiple of 455 and 21749? 108745 Calculate the lowest common multiple of 4 and 17632. 17632 Find the common denominator of -22/13489 and -15/435502. 3048514 Calculate the smallest common multiple of 403182 and 24. 1612728 Calculate the least common multiple of 18 and 179120. 1612080 Calculate the common denominator of -9/230 and 73/10680. 245640 Find the common denominator of 7/28996 and -95/101486. 202972 Calculate the common denominator of -107/1365 and 31/4095. 4095 Calculate the common denominator of -61/35535 and -49/759. 390885 Calculate the least common multiple of 21868 and 126. 196812 Calculate the smallest common multiple of 124925 and 209. 1374175 What is the common denominator of 71/36672 and 18/191? 36672 Calculate the common denominator of -26/495 and -127/2232. 122760 Calculate the common denominator of 4/9 and 29/3307. 29763 What is the common denominator of -17/122141 and -34/16407? 1099269 Find the common denominator of 43/677114 and 35/498. 2031342 Calculate the common denominator of 6/365 and 42/265. 19345 Calculate the least common multiple of 479670 and 135. 4317030 Calculate the smallest common multiple of 2733 and 87456. 87456 Calculate the common denominator of -7/810 and -41/8697. 2348190 What is the common denominator of -25/21606 and -43/6648? 86424 Find the common denominator of -5/179992 and 89/2114. 1259944 What is the least common multiple of 958704 and 52? 12463152 Calculate the lowest common multiple of 168 and 22608. 158256 Find the common denominator of 115/1224 and -73/136. 1224 What is the common denominator of 3/3473 and 13/5? 17365 Calculate the lowest common multiple of 3632 and 24. 10896 Calculate the smallest common multiple of 52 and 30350. 789100 What is the common denominator of -24/3767 and 63/4? 15068 What is the common denominator of -109/3192 and 81/16? 6384 Calculate the common denominator of 143/3624 and -137/36240. 36240 What is the common denominator of -85/8 and -51/15274? 61096 Find the common denominator of 131/197652 and -53/9. 592956 Calculate the lowest common multiple of 3746 and 158. 295934 Calculate the smallest common multiple of 23360 and 2920. 23360 Calculate the common denominator of -3/139400 and 7/246. 418200 What is the lowest common multiple of 749700 and 35? 749700 Calculate the lowest common multiple of 946 and 371950. 4091450 Find the common denominator of 115/5178 and -95/26502. 22871226 Calculate the least common multiple of 3576 and 57216. 57216 Calculate the common denominator of 181/5250 and 11/315. 15750 What is the common denominator of 91/196592 and 83/2112? 2359104 What is the common denominator of -47/624 and 101/1184664? 2369328 What is the smallest common multiple of 2733 and 13665? 13665 Find the common denominator of 4/1463 and -7/286. 38038 Find the common denominator of 47/283620 and -23/132. 3119820 Calculate the common denominator of -63/10 and -187/17580. 17580 Find the common denominator of -73/366 and -25/1231834. 3695502 What is the common denominator of 37/357255 and -94/15? 357255 What is the least common multiple of 14300 and 400? 57200 Calculate the least common multiple of 2842 and 56. 11368 Calculate the lowest common multiple of 110 and 5660. 62260 What is the common denominator of 1/1258 and 95/1184? 20128 Calculate the smallest common multiple of 15951 and 4090. 159510 Calculate the common denominator of 94/19383 and -61/14. 38766 Calculate the smallest common multiple of 124 and 1130. 70060 Calculate the lowest common multiple of 14034 and 28068. 28068 Find the common denominator of -87/2 and -137/55464. 55464 What is the smallest common multiple of 102000 and 8? 102000 What is the common denominator of -25/13516 and -66/155? 67580 Calculate the smallest common multiple of 18386 and 232. 73544 Calculate the least common multiple of 30008 and 9680. 300080 Calculate the smallest common multiple of 2 and 4157421. 8314842 Find the common denominator of 87/3884 and 13/8. 7768 What is the smallest common multiple of 303208 and 453? 909624 Find the common denominator of -38/8421 and -5/223758. 1566306 What is the lowest common multiple of 9 and 233847? 233847 Find the common denominator of 85/204592 and -55/51148. 204592 What is the common denominator of 41/23114 and -73/12446? 161798 Find the common denominator of -21/20 and -37/12618. 126180 Find the common denominator of 15/16796 and -173/71604. 1360476 Calculate the lowest common multiple of 267 and 6771. 602619 Calculate the smallest common multiple of 652058 and 652058. 652058 Calculate the common denominator of -42/5 and -31/1595. 1595 What is the lowest common multiple of 48326 and 10? 241630 What is the smallest common multiple of 2403 and 63? 16821 Calculate the common denominator of -33/3062 and 51/8. 12248 Calculate the smallest common multiple of 469053 and 3933. 10788219 Calculate the common denominator of 65/40572 and 127/2484. 121716 Calculate the common denominator of 47/88881 and -37/28509. 1510977 What is the common denominator of -1/324441 and 38/274527? 3568851 Calculate the lowest common multiple of 462310 and 130. 6010030 Calculate the lowest common multiple of 4000 and 2240. 56000 What is the common denominator of -91/344 and -29/23349? 186792 Calculate the smallest common multiple of 72884 and 62472. 437304 What is the lowest common multiple of 14709 and 68642? 205926 Calculate the least common multiple of 1188 and 5830. 314820 Calculate the common denominator of 33/4232 and -49/6. 12696 What is the smallest common multiple of 851398 and 18? 7662582 What is the smallest common multiple of 191558 and 380? 1915580 What is the smallest common multiple of 559 and 3913? 3913 What is the lowest common mul
{ "pile_set_name": "DM Mathematics" }
6*d*(d*d**14*d)/d*d*d)/(((d*(d/d**1)/d)/d)/(d**(-2/19)*d)))**(-1/50))**12 assuming d is positive. d**(-4092/475) Simplify (f**(-2/11)*f*f**(-14)*f*f)**(11/3)/((f/(f*f**(-2/31)/f*f)*f)/(f**(-1/9)*f)*(f**5*f)/(f/(f**(-1)*f))) assuming f is positive. f**(-12883/279) Simplify ((d*d/(d**(-2)/d)*d)/d*d)**(-2/5)/(d**(-5)/(d**(-1)*d))*((d/(d/d**9))/(d/((d*d**(5/3))/d)))**(2/53) assuming d is positive. d**(2357/795) Simplify (((((d*d/(d/(d*d/(d/(d*d/(d/(d*d**(-9)/d))))))*d*d)/d*d)/d*d*d**1)**26)**(2/17))**(-2) assuming d is positive. d**(312/17) Simplify (l*l*l**3*l/(l/(l/((l**(2/9)*l)/l*l))))**(-1/9)/((l/l**(-2)*l*l*l**(-4))/(l**5/((l**(-3/4)/l)/l))) assuming l is positive. l**(2015/324) Simplify (j*j/j**(-1)*j*j*j**(1/2))**(-25)*(j/(j**1/j))**(-24/11)*j*j**4*j**2 assuming j is positive. j**(-2919/22) Simplify (a**(-1/3))**25*(a**(-1))**(-8)*((a/(a**5/a))/a*a*a*a**1)**(-11) assuming a is positive. a**(32/3) Simplify ((t/t**(-1))/t*t)**10*(t/t**(-2/3))**(-1/4)*(t*t**(-1/9)/t*t**(-1/5))/(t**(-2/5)*t/t**5) assuming t is positive. t**(4261/180) Simplify (f**(-15)/f**(-14))**(-6/29)*(f*f**8)/(f**(-2/11)*f*f*f)*(f**(-2/5))**(-10/3) assuming f is positive. f**(7390/957) Simplify (((s*s**(1/4)/s)/(s**7*s*s))/(s**(-1/3)/(s**(-3/2)/s)))**(-23) assuming s is positive. s**(3013/12) Simplify ((o/((o*(o**(-6)*o)/o)/o)*o)/o**(3/2)*(o/o**(-4/7))/o**(-1))/((o*o**(1/9)*o*o**4)/(o**(1/3)/(o*o**(6/11)))) assuming o is positive. o**(2423/1386) Simplify ((b**(-1)*b)**(2/33)*b**(-6)/(b**(-2/7)/b))/((b**(-1)*b)**(-2/41)/(b*b*b**4*b**(4/5))) assuming b is positive. b**(73/35) Simplify ((z/z**(-1/18))/(z**(4/9)*z))**(-2/83)/((z**1)**(-23)/(z**(-4)*(z/z**6)/z*z)) assuming z is positive. z**(10465/747) Simplify (s**(-3)/(((s*s**(-5/6)*s*s*s)/s)/s))/(s*s/((s*s**(-2)*s*s)/s)*s*s**(3/8)*s)*(s/((s**(-7)/s*s)/s)*s/(s/(s/s**(-2/23))))**(11/4) assuming s is positive. s**(10597/552) Simplify (z**0*z**6*(z**(-2/23)/z)**(-2/181))**(1/4) assuming z is positive. z**(6257/4163) Simplify ((m**(-6/13)/m**(-5/4))/(m*(m*m/(m*m**35))/m*m*m**(-12/13)))**(-2/73) assuming m is positive. m**(-1805/1898) Simplify (j**(2/15)/j*j/(j*j*j**(-6)/j*j)*(j*j**(-1/4)/j)**(-1/25))/((((j/(j**0/j)*j)/j*j)/j)/j**4*j**6*j/(j*j**5)) assuming j is positive. j**(1543/300) Simplify (t/(t/(t*t**0*t)))**(-17)/(t/t**(-2/7)*t*(t/(t**2*t))/t)*(t**1/t)**(-4/3)*(t*((t/t**(-2/7))/t)/t)/((t*(t**(1/5)*t)/t)/t) assuming t is positive. t**(-166/5) Simplify ((b/b**(-4))/(b/b**(4/5)))/((b/(b/(b*b/(b*b**(2/23)))))/(b/b**1*b))*(b**(-3)*(b/(b*b**5))/b)**(-30/11) assuming b is positive. b**(37232/1265) Simplify (s*s**(-11/4)*s/(s*s**(2/9)))**(-3/19)/(s**(-6/11)*s/(((s/s**8)/s)/s))**(-47) assuming s is positive. s**(1115245/2508) Simplify ((z*z**(1/3)*z)/(((z**(-2/3)*z)/z*z)/z))**(-37)*(z/(z**(2/5)*z)*z)**(-19)/(z**(-2)*(z/z**6)/z*z) assuming z is positive. z**(-577/5) Simplify ((y**(-2/39)*y*y*y*y**(-3))/(y**(-11)*y**(1/10)))**21 assuming y is positive. y**(29617/130) Simplify ((k**7/k*k**7/k*k*k**(-6)*k/(k/k**(-4/7)))**(-6/29))**(4/15) assuming k is positive. k**(-72/203) Simplify (((h/(h**(-2/19)*h))/h)/((h**(3/5)*h*h)/h*h))**4*h**(-2/5)/h**2*h**(-2/17)*h*h/h**(-1/6)*h assuming h is positive. h**(-129167/9690) Simplify ((t*t**(-4/3))/t**2)**(-2/29)/(t**(-7)/t**(-10))**(2/5) assuming t is positive. t**(-452/435) Simplify ((m**(-2/7)/((m**(-8)*m*m)/m))/(m**(2/3))**(-5))/((m**(1/3)*m**(2/25))/((m/((m/(m/m**2))/m))/m)**(-3/7)) assuming m is positive. m**(1761/175) Simplify (a*(a*a/((a/(a*(a**(2/5)/a)/a))/a))/a*a*a/(a**(-1/5)*a)*(a*a*a**(-1)/a)**(-2/111))/((a*a**7)/(a*a*a**(5/2)*a*a))**6 assuming a is positive. a**(-32/5) Simplify (f/f**(2/5)*f)**(-48)*(f/((f/(f*f/((f*f**(-1/4)/f)/f)*f))/f))**(1/8)*(((f**0*f*f)/f)**(2/105))**(-45) assuming f is positive. f**(-86241/1120) Simplify (t*t**(-1/7)*t*t**8/t*t)**25/(t*t*t/(t*t*t*t/(t/(t**(2/9)/t))*t)*t/(t*t*t**(-2/19)*t*t)*t**5*t**(2/13)) assuming t is positive. t**(3802979/15561) Simplify ((l/(l*l**(-1)))**(-32))**20*(l*l**2)**(-17)/(l*l*l/(l**6*l)*l/(l*l/(l**(-5/6)*l))) assuming l is positive. l**(-4117/6) Simplify ((o**(2/7))**43/(o**(-1)*o*o**(2/13)))/((o*o**(2/5)*o)**(7/8))**(-9) assuming o is positive. o**(28239/910) Simplify p**(2/11)/(p*p*p/p**(-1/10)*p)*p/p**3*(p*p*p/p**(-2/5))/p*p**(-2)/p**(2/9)*(p**1)**30 assuming p is positive. p**(24017/990) Simplify ((v/v**(-3/5))/(v*v**2)*(v**(-3/5)/v)**(-45))**(-3/25) assuming v is positive. v**(-1059/125) Simplify ((k*k/((k*k*((k*k/((k**8*k)/k))/k)/k)/k)*k*k)/(k/(((k/(k*k/k**(6/5)))/k)/k)*k))/((k**(-8)*k)/k)**(-5/3) assuming k is positive. k**(-92/15) Simplify ((i/((i/i**(-30))/i)*i**(-24))/(i**(3/7)*i*i/i**(-2/3)))**(-50) assuming i is positive. i**(58900/21) Simplify ((s**0/s)**(1/24))**(2/13)/(s*(s**2/s)/s*s*s/s**(-3/2)*s**(1/10)/s**(-4)) assuming s is positive. s**(-6713/780) Simplify ((k**(2/9))**(-31))**(-2/75)*(k**(-1/2)*k)**33/((k/k**(-1/6))/(k**5*k)) assuming k is positive. k**(14524/675) Simplify o*o**(-4)*o/o**(4/3)*o**(1/2)*o*o**(-1/5)*(o**(-1/2)/(o*o**(-5)))/(o*o/(o/o**1)*o*o**(2/3)/o) assuming o is positive. o**(-6/5) Simplify (q**(-8)/q**(4/11))**(-6/5)/((q**(2/17)*q**(-8)/q)/((q*q/q**(-3)*q)/(q**0*q))) assuming q is positive. q**(22364/935) Simplify (i**(1/4)*i)/(i**2*i)*i**(-2)/i**(-2/25)*((i**(-1/3))**46)**(2/13) assuming i is positive. i**(-23513/3900) Simplify (((f*f/f**0*f*f*f)**(-2/7)/(f*f*(f/f**(2/5))/f)**24)**(-37))**38 assuming f is positive. f**(1959964/35) Simplify ((w*w**(-2/9))/(w*w/w**(-8)))/(w**(2/85))**38 assuming w is positive. w**(-7739/765) Simplify (v**46)**(20/13)*v/v**(-3/7)*v**24 assuming v is positive. v**(8754/91) Simplify (((u/(u/(u*((u*u/((u/u**1)/u*u)*u)/u)/u)))/(u*u**4))/((u**(2/5)*u)/u)**(-44))/(u**(-1/2)/(u**(-1/2)/u*u*u*u))**40 assuming u is positive. u**(473/5) Simplify (((n**(-8)/(n/n**(-1/13)))**(-28/5))**(-43))**2 assuming n is positive. n**(-284144/65) Simplify ((((f/f**(-30))/f)**(28/3))**(1/17))**(4/23) assuming f is positive. f**(1120/391) Simplify ((j**(-22)/(j*j*j**(-16)))/((j**(-3)/j)/j**(-18)))**(-1/9) assuming j is positive. j**(22/9) Simplify ((q**(-1/4)*(q/(q**(-1/6)/q))/q)/(q/q**(-4)*q**0/q))/((q/q**3)/q*q/(q*(((q*q*q**(-3))/q)/q)/q)*q*q**(-1/5)/(q*q*q**(-2/3))) assuming q is positive. q**(-71/20) Simplify ((f**(5/4)*f**(2/15))/((f*f**(-3/7))/((((f/(f**(2/11)*f)*f)/f)/f)/f)))/((f**(-1/3))**34/(f**(-3/4)*f*f**(1/5))) assuming f is positive. f**(4811/462) Simplify (k/k**(-11))**(-6/19)/((k**(-38)/k)/k**7) assuming k is positive. k**(802/19) Simplify ((((g/(g**(-24)*g))/g)/(g*(g*g*g**(-1/4))/g))/(g**(1/2)*g**23))**(1/31) assuming g is positive. g**(-9/124) Simplify (x**4/(x/(x**(3/5)/x)))**(-49)/((x/(x**(-2/5)/x)*x*x**(-5)*x*x*x)/(x/(x/x**(-2/9)))**29) assuming x is positive. x**(-6086/45) Simplify ((((d/(d/(d*d/((d/(d**(-2)*d))/d)*d)))**(6/5))**(3/7))**(1/8))**(-1/14) assuming d is positive. d**(-9/980) Simplify (s/(s**(-8/7)/s))**(-10/11)/(s**21*s)**(-36) assuming s is positive. s**(5524/7) Simplify ((c/(c*c/(c*c**0*c))*c)**(-26/7)*(c**(2/3))**32)/((c**(-3)*c*c/(c/c**(-2/13)))/(c**(-3)/c*c*c/(c/(c*c*(((c*c**(-1))/c)/c)/c)))) assuming c is positive. c**(3292/273) Simplify ((y**(2/5))**15*(((y/y**4*y)/y)/y)/(y*y/(y**(6/7)/y)))/((y**0*y*y)**(1/11)/(y/(y/(y*y/(y*y**(-2/21)/y)))*y**3)) assuming y is positive. y**(1102/231) Simplify ((k*k**(2/9)*k)/(k/k**(-1/8)))/(k*k**1*k**1)*(k*k**(-2/7))**49*(k**(-1)*k*k)**(-20) assuming k is positive. k**(943/72) Simplify (x**(-1)*x)**(-42)*x**(-4)/x**(1/4)*x**(-1/7)*x*x**(-6)/x*x**(-2/5)/(x/(x*x**(1/2)*x)) assuming x is positive. x**(-1301/140) Simplify ((a*a/(((a/((a*a**(3/4)*a*a)/a))/a)/a))**(7/4)/(a**(3/2))**(7/4))**(8/9) assuming a is positive. a**(119/18) Simplify (((x**(4/19)/x)/(x*x**(-1/21)))/(x**(1/8)*x)**(-7/10))**10 assuming x is positive. x**(-30463/3192) Simplify ((((n**0)**(-15/4))**(-1/14))**(-15))**23 assuming n is positive. 1 Simplify (z*z*z**14*z)**(3/31)/((z/(z*(z**(1/8)*z)/z))/(z*z**(-40))) assuming z is positive. z**(-9233/248) Simplify ((w**0*w*w)**(-44))**(-36)*w*w*((w*w*((w**(2/13)*w*w)/w)/w)/w*w)/w*w**4*w/(w*w**(-2/5))*(w*(w*w**(1/6)/w*w)/w)/w*w assuming w is positive. w**(1238921/390) Simplify (z/z**(-1)*z/z**(-13)*(z**(-6/11)/z*z)/z*z*(z/z**11)/z*z*z)**19 assuming z is positive. z**(1349/11) Simplify ((z**(-27)*z)/z**(5/
{ "pile_set_name": "DM Mathematics" }
ve o(r) = 0 for r. -2, 0, 1 Factor -2*a**2 - 1 + 5/2*a + 1/2*a**3. (a - 2)*(a - 1)**2/2 Let a(o) be the second derivative of o**6/180 + 13*o**5/120 + 19*o**4/24 + 11*o**3/4 + 9*o**2/2 - 587*o. Solve a(i) = 0. -6, -3, -1 Let n(r) = 3*r + 50. Let b(d) = d**3 - 16*d**2 - 15. Let m be b(16). Let a be n(m). Factor -8/5*j**4 - 2/5*j**3 + 0*j + 0*j**2 + 0 - 6/5*j**a. -2*j**3*(j + 1)*(3*j + 1)/5 Let i = 22038/5 + -4407. Factor 0*f - i*f**4 - 9/5*f**2 - 12/5*f**3 + 0. -3*f**2*(f + 1)*(f + 3)/5 Let z = 1396/623 - -4/89. Factor -32/7*n**3 + 12/7*n**4 + 0 + 0*n + z*n**2. 4*n**2*(n - 2)*(3*n - 2)/7 Let g = -2/63 - -8/9. Let k(x) be the first derivative of -7 - g*x**2 + 4/21*x**3 + 8/7*x. Find l such that k(l) = 0. 1, 2 Let i = 146912/11 - 13354. Factor -12/11 - i*t + 12/11*t**2. 6*(t - 2)*(2*t + 1)/11 Let f(b) = 25*b**3 - 23*b**2 + 25*b. Let l(t) = -6*t**3 + 6*t**2 - 6*t. Let x = 842 - 833. Let o = -1 - -3. Let m(r) = o*f(r) + x*l(r). Factor m(k). -4*k*(k - 1)**2 Factor -x**2 + 3 + 12*x - 56 + 13 + 4. -(x - 6)**2 Let q be 0/(15 - (3 + 7)). Factor 1/2*i**3 + 3/4*i**4 + q*i + 0*i**2 + 0 + 1/4*i**5. i**3*(i + 1)*(i + 2)/4 Let x(g) = 7*g**4 + 178*g**3 + 179*g**2 - 172*g - 180. Let p(r) = 2*r**4 + r**2 + 2*r - 1. Let h(o) = -12*p(o) + 4*x(o). Factor h(d). 4*(d - 1)*(d + 1)**2*(d + 177) Let r = -690 + 692. Factor 7/4*h**r + 9/4 - 1/4*h**3 - 15/4*h. -(h - 3)**2*(h - 1)/4 Let n = 1502 - 10509/7. Let 1/7*h**3 + h + n*h**2 + 3/7 = 0. Calculate h. -3, -1 Let j = 8 + -6. Let s be 15/3*j/(-2). Let a(z) = -4*z**2 - 5. Let i(x) = -6*x**2 - 8. Let v(m) = s*i(m) + 8*a(m). Suppose v(w) = 0. Calculate w. 0 Suppose -n + 0 = 1. Let b(f) = 15*f**4 + 10*f**3 + 20*f**2 - 10*f. Let d(o) = o**4 - o**3 - o. Let p(g) = n*b(g) + 10*d(g). Factor p(l). -5*l**2*(l + 2)**2 Let s be 78/12 - (-52)/(-8). Solve 2/17*b**2 - 2/17*b**3 + s + 0*b = 0 for b. 0, 1 Let t(u) be the third derivative of -u**2 - 1/336*u**8 - 13/150*u**5 + 1/5*u**3 - 2/25*u**6 + 0 + 1/24*u**4 - 2/75*u**7 + 0*u. Determine c, given that t(c) = 0. -3, -1, 2/5 Let n(k) be the third derivative of k**6/30 + 26*k**5/5 + 51*k**4/2 + 152*k**3/3 - 14*k**2 + 5*k. Suppose n(d) = 0. What is d? -76, -1 Let l be (81/(-21))/(-9)*(-203)/(-58). Factor -1152*x - l*x**3 + 6144 + 72*x**2. -3*(x - 16)**3/2 Let o(s) be the second derivative of s**5/5 - 7*s**4/3 - 16*s**3/3 + 49*s. Factor o(a). 4*a*(a - 8)*(a + 1) Suppose -25*k = -19*k. Let b(w) be the third derivative of 0 + 5*w**2 + 5/6*w**4 - 1/3*w**3 - 5/6*w**5 + k*w. Factor b(r). -2*(5*r - 1)**2 Factor 8/5*g**2 + 0 + 1/5*g**3 + 16/5*g. g*(g + 4)**2/5 Let o(m) = -2*m**2 + 22*m + 486. Let n be o(22). Factor 0 - 1/2*y**3 + 0*y + y**n. -y**2*(y - 2)/2 Let w be 1/((-4)/(-20)) + -1. Let y(j) be the first derivative of -1/10*j**w - 12/5*j**2 + 16/5*j + 6 + 4/5*j**3. Factor y(q). -2*(q - 2)**3/5 Let z(o) be the second derivative of 0*o**2 + 0*o**4 + 3/10*o**5 + 16*o + 0 + 1/10*o**6 + 0*o**3. Determine c, given that z(c) = 0. -2, 0 Let r(z) be the third derivative of 0*z**4 + 1/24*z**6 - 1/12*z**5 + 7*z**2 + 0 + 0*z + 0*z**3. Solve r(h) = 0 for h. 0, 1 Let f(k) = -602*k + 2411. Let o be f(4). Determine c so that -3/8*c**o - c**4 + 0 - 3/8*c**5 + 1/4*c**2 + 0*c = 0. -2, -1, 0, 1/3 Let r(z) be the second derivative of z**6/15 - 61*z**5/20 - 31*z**4/12 + z - 39. Find w such that r(w) = 0. -1/2, 0, 31 Determine i so that -12/5 - 3/5*i**3 + 12/5*i + 3/5*i**2 = 0. -2, 1, 2 Let p(u) = -u**2 - 4*u + 3. Let s be p(-4). Suppose -s + 0 = -o. Factor 3*c**2 + 3*c - o*c**2 - c**3 - 2*c**3. -3*c*(c - 1)*(c + 1) Let b(g) = -g - 4. Let j be b(-7). Factor 0*c**3 + 144 + 132*c + 27*c**2 + 13*c**2 + c**3 + j*c**3. 4*(c + 3)**2*(c + 4) Let d(l) be the first derivative of -11*l**6/2880 + l**5/160 + 22*l**3/3 - 27. Let k(r) be the third derivative of d(r). Factor k(h). -h*(11*h - 6)/8 Let v be (-6)/3 - (-7 + 2). Find a such that 314 + 2*a**v - 296 + 9*a**2 + 30*a + 5*a**2 = 0. -3, -1 Let n(s) = s**2 - 6*s + 2. Let q be n(4). Let x be (3/(-2))/(2/q). Let -13/2*p - x*p**3 + 1 + 10*p**2 = 0. Calculate p. 2/9, 1 Let g(p) be the third derivative of 21*p**2 + 0*p - 1/120*p**6 + 0*p**3 + 1/210*p**7 + 0 + 1/24*p**4 - 1/60*p**5. What is m in g(m) = 0? -1, 0, 1 Let y(l) be the first derivative of 8/3*l + 9 + 4/9*l**3 - 2*l**2. Factor y(k). 4*(k - 2)*(k - 1)/3 Let z = 2781/3220 - 3/460. Factor -16/7 - 4*t - z*t**2. -2*(t + 4)*(3*t + 2)/7 Let u = -2416 + 7280/3. Factor 0*v + u*v**3 - 20/3*v**4 + 0 + 16/3*v**2. -4*v**2*(v - 2)*(5*v + 2)/3 Suppose -b + 22 - 17 = 0. Let 3*c**2 - 16*c**2 + 2*c**5 + 10*c**4 + 6*c**3 - b*c**2 = 0. Calculate c. -3, 0, 1 Let 4*v**2 + 16 + 19*v - 37*v + 0*v**2 - 2*v**2 = 0. What is v? 1, 8 Determine j, given that -1 + 5/3*j + 16/3*j**4 - 7*j**3 + 7/3*j**2 - 4/3*j**5 = 0. -1/2, 1, 3/2 Let a(t) be the first derivative of -4*t - 1/2*t**2 + 7 - 1/8*t**4 - 7/12*t**3. Let c(f) be the first derivative of a(f). Factor c(k). -(k + 2)*(3*k + 1)/2 Let u(f) = f**2 + 3. Let r(g) = 3*g**3 - 45*g**2 - 3*g + 21. Let d(i) = r(i) + 6*u(i). Factor d(m). 3*(m - 13)*(m - 1)*(m + 1) Let s(g) be the first derivative of -g**6/8 - g**5/24 - 6*g**3 + 29. Let b(n) be the third derivative of s(n). Solve b(d) = 0. -1/9, 0 Find a, given that 8*a + 3*a**3 + 18*a**3 - 4*a + 35*a - 3*a + 3*a**4 + 48*a**2 = 0. -3, -2, 0 Let g(m) be the third derivative of -13*m**2 - 35/24*m**4 - 5/12*m**5 - 5/2*m**3 + 0*m - 1/24*m**6 + 0. Factor g(z). -5*(z + 1)**2*(z + 3) Let x be 1/(-2)*(-9 - (-5 + 6)). Suppose 3*f = 6*f - 6. Solve -h**x + 1 + 10*h**f + 4*h**4 + h**4 - 4*h - 10*h**3 - h = 0. 1 Let d(m) be the third derivative of -m**7/70 + m**5/10 - m**3/2 + 306*m**2. Factor d(h). -3*(h - 1)**2*(h + 1)**2 Let h be ((-26)/8 - -4)*4 + -1. Factor -12/5*q - 3 + 3/5*q**h. 3*(q - 5)*(q + 1)/5 Let b(v) = 4*v**3 + 10*v**2 + 15*v + 3. Let m(w) = 15*w**3 + 39*w**2 + 59*w + 11. Let z(o) = 22*b(o) - 6*m(o). Factor z(c). -2*c*(c + 3)*(c + 4) Let l(h) be the first derivative of -11*h**6/1080 + h**5/40 + h**4/36 + 10*h**3 + 17. Let g(a) be the third derivative of l(a). Let g(o) = 0. What is o? -2/11, 1 Let u(n) = -5*n**4 - 85*n**3 - 471*n**2 - 863*n - 490. Let w(v) = -5*v**4 - 85*v**3 - 472*v**2 - 861*v - 490. Let m(f) = -7*u(f) + 6*w(f). Factor m(j). 5*(j + 1)*(j + 2)*(j + 7)**2 Factor 132*n**3 + 38*n**4 - 300*n**2 - 145*n**4 + 128*n**4 - 96*n. 3*n*(n - 2)*(n + 8)*(7*n + 2) Let f(t) = t - 1. Let p(x) = x**2 - 33*x + 57. Let u(a) = 10*f(a) + 2*p(a). Factor u(o). 2*(o - 26)*(o - 2) Let b(g) be the first derivative of -g**6/15 + 6*g**5/25 + 3*g**4/10 - 14*g**3/15 - 6*g**2/5 - 38. Solve b(x) = 0. -1, 0, 2, 3 Let w(h) be the first derivative of 0*h**3 + 8 - 3/4*h**4 - 6*h + 9/2*h**2. Factor w(v). -3*(v - 1)**2*(v + 2) Let q(p) be the second derivative of -2*p**7/189 - 4*p**6/135 + p**5/45 + 2*p**4/27 - 6*p + 8. Determine m so that q(m) = 0. -2, -1, 0, 1 Suppose -5*z + 5*i = -5, -2*z + 4*i - 7 = -i. Let l(q) be the first derivative of -2/3*q - 6 + 1/6*q**z + q**2 - 2/3*q**3. Factor l(m). 2*(m - 1)**3/3 Suppose 3*d = 2 + 4. Solve -36*a**2 - d*a**3 - 27*a - 10*a**3 + 2*a**3 - 2*a**3 = 0 for a. -3/2, 0 Let b = -35 - -14. Let v = 23 + b. Factor -195*d**v - 9*d**3 - 3 + 201*d**2 + 3. -3*d**2*(3*d - 2) Let j(m) be the third derivative of -m**6/40 + 3*m**5/4 - 27*m**4/8 + 13*m**3/2 - 55*m**2. Find y such that j(y) = 0. 1, 13 Let n(m) be the second derivative of -m**5/45 - 137*m**4/54 - 68*m**3/27 - 472*m. Determine h, given that n(h) = 0. -68, -1/2, 0 Let h(y) be the third derivative of -8*y**2 - 1/75*y**5 + 0*y + 0*y**4 + 0 + 0*y**3 + 1/100*y**6 - 1/525*y**7. Factor h(m). -2*m**2*(m - 2)*(m - 1)/5 Let a be 25/10 + 13 + (4 - 19). Factor -a*b + 1/2*b**2 - 3. (b - 3)*(b + 2)/2 Let i(y) be the third derivative of y**8/80640 - y**7/1680 + y**6/80 - 11*y**5/30 + 3*y**2 + 5*y. Let x(f) be the third derivative of i(f). Factor x(g). (g - 6)**2/4 Factor 25*v**2 + 4*v**4 - 13*v**4 + 4*v - 3*v**3 - 17*v**2. -v*(v - 1)*(3*v + 2)**2 Let u(c) be the second derivative of c**4/8 - 31*c**3/2 + 328*c + 1. Solve u(s) = 0. 0, 62 Let i(f) be the first derivative of 22*f**3/21 + 20*f**2/7 - 24*f - 475. Factor i(u). 2*(u - 2)*(11*u + 42)/7 Suppose 3*m + 3 = 4*m. Suppose 0 = t + 5*v + 2, m*t - 4*v + 11 = 8*t. Let -5*h - h + 2*h + h**3 + h**t + 2*h**2 = 0. Calculate h. -2, 0, 1 Factor 72/7*w**2 - 10*w
{ "pile_set_name": "DM Mathematics" }
ed by 15? 7 Calculate the remainder when 1124 + (-17 - -11)/(27/45) is divided by 51. 43 Suppose 183*i = -57*i + 305520. Calculate the remainder when i is divided by 160. 153 Suppose 3*f + 4*z - 471 = 0, 0 = -f + 5*f - z - 647. Suppose 484*c = 3*o + 487*c - 21, -2*c = o - 3. What is the remainder when f is divided by o? 7 Suppose 5*k - 725*i = -722*i + 29041, -4*k = 4*i - 23252. What is the remainder when k is divided by 30? 20 Suppose 0 = -m - i + 3*i + 12, -2*i = 6. Let j = -2 + m. Suppose 4*a - a - 2*d - 20 = 0, -60 = -j*a - 4*d. Calculate the remainder when 18 is divided by a. 8 Let k(p) = 3*p - 50. Let w be k(18). Suppose 4*g - w*t - 202 = -g, 2*t + 122 = 3*g. What is the remainder when 376 is divided by g? 40 Calculate the remainder when (6 - 3)/((-45)/(-6240)) is divided by 11. 9 Let l be (-3*8/20)/((-6)/680). Let v = -122 + l. Calculate the remainder when 36 is divided by v. 8 Calculate the remainder when 4/(-8)*4*(-2479)/74 is divided by 24. 19 Let s(l) = 18*l - 4. Let w(p) = 70*p - 17. Let x(k) = 9*s(k) - 2*w(k). Calculate the remainder when (-20)/6*(-228)/10 is divided by x(1). 16 Suppose -466 = -11*n - 92. Let q = n + 1. Let k = q + -18. What is the remainder when 32 is divided by k? 15 Suppose 4*i = -5*x + 816, 51 = i - 2*x - 153. Suppose 0 = -n + 2, -2*v + 5*n - 384 + 254 = -6*v. Calculate the remainder when i is divided by v. 24 Suppose -3*r = 5*l + 105 - 263, -3*l + 90 = -3*r. Let v be (0/2)/(-1) + 7. Suppose 24 = a + v. What is the remainder when l is divided by a? 14 Let k(s) = -2*s**2 - 13. Let l be k(11). What is the remainder when l/(-3)*4 - (41 - 38) is divided by 20? 17 Let s(u) = 416*u + 6683. What is the remainder when 257 is divided by s(-16)? 14 Suppose -2*r + 28 = x, -753*x + r - 41 = -755*x. Calculate the remainder when 2788 is divided by x. 16 Let r(s) = -s**2 + 2*s + 6. Suppose 7*q - 4 - 3 = 0. Suppose z + h = -q, 3 = -4*h - 1. Calculate the remainder when 17 is divided by r(z). 5 What is the remainder when ((-12)/(-14))/(699/388178) is divided by 430? 46 Let u(p) = -2*p**2 - 88*p - 140. What is the remainder when u(-35) is divided by 65? 35 Suppose 5*l - 4*o = -0*o - 3, 4*l - o = 2. Let w be ((-130)/(-3))/(((-35)/(-15))/(-7)). What is the remainder when l - (3 - 5) - w is divided by 35? 28 Suppose 70 = z + 2*z - 5*n, -2*z + 5*n = -45. Suppose -h = z*h - 780. What is the remainder when 117 is divided by h? 27 Suppose 2449 = 20*u - 3151. What is the remainder when u is divided by 16? 8 Let r be ((-8)/(-4) - 3)/(3/(-507)). Let a = r + -90. Calculate the remainder when a is divided by 14. 9 Suppose -15 = 3*k + 3*n, -4*k - 25 = 2*n + 5. Let i = -7 - k. Suppose -35*h = -9 - 341. What is the remainder when h is divided by i? 1 Suppose -1595 = 172*o - 8020 - 17483. Calculate the remainder when 1071 is divided by o. 98 Let w(p) = -5*p + 41. Let t(x) = -x**2 + 17*x - 35. Let l be t(14). What is the remainder when 15 is divided by w(l)? 3 Let i = -17407 + 17810. What is the remainder when i is divided by 81? 79 Let c be 42/(-441) + 15819/63. Suppose 0 = 12*k + c - 2399. What is the remainder when k is divided by 31? 24 Let g(v) be the third derivative of -5*v**4/24 - 5*v**3/2 + 51*v**2. Calculate the remainder when g(-15) is divided by 15. 0 Suppose 3*q + 39 = -3*r + 156, 0 = 5*r - 4*q - 186. Suppose 2*m = 5*m - 744. Suppose -6*i + m = -622. What is the remainder when i is divided by r? 31 Let w(s) = s**3 - 7*s**2 - 1047*s + 9485. Let v(b) = b**3 - 5*b**2 - 10*b + 10. Calculate the remainder when w(9) is divided by v(7). 34 Let g = -3143 + 2053. Let a be (g/20)/((-1)/(-2)). Let b = -66 - a. Calculate the remainder when b is divided by 12. 7 Calculate the remainder when 426 is divided by (91 + -92)/(2/(-274)). 15 Let u = 369 - 365. Let z(p) = 2*p**2 - 15*p + 69. What is the remainder when 144 is divided by z(u)? 21 Let p = -14 - -16. Suppose -p*f = f - 417. Let s = -47 + 82. Calculate the remainder when f is divided by s. 34 Suppose -4*h + 5*m = -2016, -2*h + 2*m + 633 = -377. What is the remainder when h is divided by 5? 4 Let t be ((-12)/(-7))/4 - (-7736)/14. Suppose -552*v = -t*v + 56. What is the remainder when 122 is divided by v? 10 Let p(r) = 12*r**2 + 85*r - 3. Let s be p(-7). Let m be (-5)/2 - (-5)/10. What is the remainder when m + (5/(-3))/(s/840) is divided by 20? 18 Suppose -6*y + 5*y = 2*l - 53, -3*l + 162 = 3*y. Calculate the remainder when 767 is divided by y. 52 Let l(a) = -a**2 + 27*a - 42. Suppose 4*h - 87 = -5*i, 0 = h - 4*i - 2 - 25. Suppose 13 = c - 0*c. What is the remainder when l(h) is divided by c? 11 Let t(a) = 20 + 3*a**2 - 4 - 4*a**2 - a. Suppose 3*g = -5*l + 138, -31*g = -4*l - 33*g + 110. What is the remainder when l is divided by t(0)? 11 What is the remainder when 1020 is divided by (-224)/(-12)*150/200? 12 Suppose 0 = -u + 5*c + 130, 4*u + 41*c - 412 = 43*c. Calculate the remainder when 8293 is divided by u. 93 Let s(y) = y**3 - 52*y**2 - 50*y - 171. Calculate the remainder when s(55) is divided by 9. 7 Let o(t) = 8*t + 68. Let p be o(-26). Let d = 183 + p. Calculate the remainder when 427 is divided by d. 40 Suppose 0 = -8*p + 8*p - 8*p + 440. What is the remainder when 123 is divided by p? 13 Let r(q) = 7*q**2 + 58*q + 9. What is the remainder when r(5) is divided by 96? 90 Suppose -5*w = -5*g + 1765, -10*g = -14*g + w + 1430. What is the remainder when g is divided by 29? 11 Let z = 6354 - 5688. Calculate the remainder when z is divided by 5. 1 Let o be (-5 + 2 + 3)/(-2). Let m be ((-4 - -8) + o + -3)*5. Suppose -45 = -m*i - 0*i. Calculate the remainder when 25 is divided by i. 7 Let d be (20*4/8)/(22/11). Suppose 49 = 2*z + d*o, 4*z - 46 - 19 = o. Let w(b) = b**2 - 3*b. What is the remainder when z is divided by w(5)? 7 Suppose -4*m + 38 = 2*v, 2*v - 5*m = 5*v - 60. Suppose 3 = -f, -6*w - 2*f = -w - 19. Suppose -10*c + w*c = -370. What is the remainder when c is divided by v? 24 Suppose 0*g + 36 = 5*g - 3*f, -3*f = -2*g + 18. Let t(n) = -5*n**3 + n - 1. Let s be t(1). What is the remainder when (g/s)/((-18)/720) is divided by 25? 23 Let b = 10 - 6. Suppose -2301 + 387 = -319*p. Suppose -b*y + p = -j + 41, 3*y = 4*j - 140. What is the remainder when j is divided by 12? 11 Let z(h) = 16*h + 18. Let r be z(-2). Let b = r + 32. Let p = 139 - 68. Calculate the remainder when p is divided by b. 17 Let h(a) = a + 15. Let t be (2/(-3))/((-47)/141). What is the remainder when 287 is divided by h(t)? 15 Let v be (-7 - -6)*-2 - 2. Suppose 4*t - 2*t + 5*d = 109, v = 4*t + 5*d - 223. What is the remainder when 227 is divided by t? 56 Suppose -5*z + 380 + 115 = 0. Suppose -142 = 4*i - 4*b - 638, i + 4*b = z. Suppose -8 - 58 = -11*x. What is the remainder when i is divided by x? 5 Calculate the remainder when 446 is divided by (-2)/((-2)/198*-687 - 7). 17 Let n = 28907 + -28894. Let j(o) = -13*o - 6. Calculate the remainder when j(-4) is divided by n. 7 Let l(q) be the third derivative of q**4/4 - 5*q**3 + 26*q**2 - 4. Calculate the remainder when l(37) is divided by 28. 24 Suppose -4*x = -5*y, 2*y - 3*y = 0. Suppose x*c = -c - 3*c. Suppose 14*v - 8*v - 48 = c. Calculate the remainder when 30 is divided by v. 6 Let n(l) = -l**2 + 28*l + 3. Let a be n(21). What is the remainder when (-9 + a/12)*(-276)/(-7) is divided by 5*1/(1/7)? 33 Suppose 3*q + 2*z = 5*q - 4998, -5*z - 25 = 0. Calculate the remainder when q is divided by 52. 50 Suppose 5*d - 3*r - 47 = 0, -33*r = -3*d - 31*r + 27. Let g = 3 + -4. What is the remainder when 22/(-3)*(-4 - g) is divided by d? 9 Suppose -178*w - k - 100 = -179*w, 2*k - 382 = -4*w. What is the remainder when 1057 is divided by w? 87 Let o = -9729 - -9911. What is the remainder when 907 is divided by o? 179 Suppose -2*a = 13 - 57. Let p = 9 + 100. Suppose 4*i = 235 + p. What is the remainder when i is divided by a? 20 Let n = 346 + -182. Let r = -35801 - -35887. Calculate the remainder when n is divided by r. 78 Let y = 73 + -68. Suppose -60 + 450 = y*r. Let a = -58 + 98. Calculate the remainder when r is divided by a. 38 Let b = -1603 - -1691. What is the remainder when 342 is divided by b? 78 Let z = 18 + -18. Suppose z = 2*p - 8*p + 162. Suppose 5*q - q - 28 = 0. What is the remainder when p is divided by q? 6 Let i = 9115 + -9102. Let f(s) = -15*s - 3. Calculate
{ "pile_set_name": "DM Mathematics" }
+ 26. Let h be v(10). Put 2, h, -2 in descending order. 2, -2, h Let n be 10/45 - 8/(-126). Sort -2, 0.2, n, 1. -2, 0.2, n, 1 Let y = -8 + 5. Suppose 0 = -5*b + 3*k + 3, 0*b + 2 = -2*b + 2*k. Let j be (-2)/b*(-18)/4. Put y, 0, j in decreasing order. j, 0, y Let s = -0.79 - -0.89. Put s, -1/4, 0.7, -5 in decreasing order. 0.7, s, -1/4, -5 Suppose -5*l + 2*t = 2, 3*l + 5*t + 29 = 3. Let r be l/(-3)*(-18)/3. Sort -0.3, -3, r in decreasing order. -0.3, -3, r Let f(v) = -v + 7. Let w be f(4). Suppose -4*b - 2*x = -14, 0*b - 4*x = 3*b - 3. Suppose -5*s + s - a = 0, -5*a + 18 = 2*s. Sort s, w, b in ascending order. s, w, b Let y(b) = -3*b - 26. Let l be y(-9). Let f be 2*(-2 + -2)/(-2). Sort 5, f, l in ascending order. l, f, 5 Let u = 14 + -15. Put u, 4, 3/5 in decreasing order. 4, 3/5, u Let d = 3.1 - 2.8. Sort -1/3, d, -1/4, -0.4 in ascending order. -0.4, -1/3, -1/4, d Suppose f - 4*v - 25 = -0*v, 0 = -4*v - 20. Let z = f - 3. Let l(j) = -3*j + 67. Let a be l(22). Sort a, z, -5. -5, a, z Let p(o) = -o**3 - 5*o**2 + 5*o - 9. Let x be p(-6). Put x, 0, -5 in increasing order. -5, x, 0 Let w(p) = 2*p - 6. Let n be w(5). Let k be ((-57)/12 + 4)*n. Put 3, -5, k in decreasing order. 3, k, -5 Let w(f) = f + 5. Let h be w(-3). Let r = -34 - -30. Sort h, r, -1 in decreasing order. h, -1, r Suppose 27*i - 25*i = 8. Suppose -2*g + 0*c + 3 = c, 0 = 3*g + 2*c - 5. Sort g, i, 0 in descending order. i, g, 0 Let l be (-21)/(1 - (-2)/4). Let h = -18 - l. Let s = 7 - 12. Sort s, h, 2 in decreasing order. 2, h, s Suppose -5*b - 24 = -3*v, 2*v = -3*b + 2*b + 3. Sort v, -10, -5, 5 in ascending order. -10, -5, v, 5 Let n = -6.8 + 7. Let a = 2 + -1.7. Let p = a + 0.2. Put p, n, 2/7 in increasing order. n, 2/7, p Let d = 1/365 - 741/4015. Put d, 0, -0.01 in descending order. 0, -0.01, d Suppose 8*t + 2*t - 70 = 0. Sort 1, 0.2, t. 0.2, 1, t Suppose 0 + 6 = -6*f. Sort -3, f, 11 in descending order. 11, f, -3 Let l be 2 - (-4 + 5 - 4). Sort 0, 1, l. 0, 1, l Let w(q) = -4*q**2 + 2*q + 2. Let m be w(-1). Suppose k + 2*k - 21 = 0. Let g = k + -4. Sort 2, m, g in descending order. g, 2, m Let h = -2.1 - -13.1. Let a = 11.5 - h. Sort a, -2, 4 in ascending order. -2, a, 4 Let h = 11.965 - 12. Let p = h - -0.425. Let j = 0.01 + p. Put -2, 0.5, j in decreasing order. 0.5, j, -2 Let q = -31 - -27. Let b = 5 - 0. Suppose -2*d - c = 2*d - 1, -3 = -2*d - c. Put q, b, d in ascending order. q, d, b Let m = -59 - -54. Put -3/2, m, -4, 2/3 in increasing order. m, -4, -3/2, 2/3 Let t = -2 + 4. Let a(r) = r + 1. Let i(x) = -2*x - 8. Let v(w) = -5*a(w) - i(w). Let o be v(t). Put 1, o, -1 in decreasing order. 1, -1, o Let y be (-5)/(-15) + (-16)/3. Let c = y - -8. Suppose 3*i = 2*i + 1. Sort c, -3, i. -3, i, c Let n = 3 - -2. Put -7, 0.1, n in ascending order. -7, 0.1, n Let o = -0.2 + 0.7. Let f = -0.29 + -0.21. Let n = f - o. Put n, 4, 3 in descending order. 4, 3, n Let i be 4/6*9/3. Let r be (-2)/(15/6 - i). Put 5, 2, r in increasing order. r, 2, 5 Let o = 5 + -6. Sort 2, -1.6, o, 5 in ascending order. -1.6, o, 2, 5 Let q = -49 + 45. Put 19, -3, q in decreasing order. 19, -3, q Let u(h) = -h**3 - 9*h**2 - 7*h + 10. Let k(f) = -f - 2. Let p be k(6). Let g be u(p). Sort 4, g, 1 in decreasing order. 4, g, 1 Let l(a) = -2*a**3 - 30*a**2 + 5. Let y be l(-15). Suppose o + 4 = -0*o. Put y, -5, o in ascending order. -5, o, y Suppose -5*t + 32 = -18. Sort 4, -4, t. -4, 4, t Let j = -6 + 1. Let q = 44 - 47. Sort -1/4, j, q in ascending order. j, q, -1/4 Let w be -1*6*3/(-6). Let n = -17.2 - -17. Sort w, n, -0.1. n, -0.1, w Suppose -6*o + 4*o = 0. Suppose 4*l - 4*m + o*m = -28, -l - 12 = -2*m. Suppose -w - 2*a = -11, 5*w - 2*a + 2 = -3. Sort w, 2, l in decreasing order. 2, w, l Let r = -1.87 - -1.8. Let w = 0.13 - r. Sort -2/5, w, -5. -5, -2/5, w Suppose k + 10 = -5*l - 0*k, -l + k = -4. Let f(y) = -y**3 - 2*y**2 - 2*y - 2. Let c be f(-2). Suppose 0 = -c*t + 7*t - 5. Sort l, t, -4 in ascending order. -4, l, t Let u = -7 + 16. Put u, 3, 2/7 in decreasing order. u, 3, 2/7 Let z = -16 - -11. Let v = -3 - z. Suppose -3*k - i - 1 = -0, -10 = -v*i. Put k, 3, -5 in decreasing order. 3, k, -5 Suppose -2*y = -6*y + 32. Let i = y - 42/5. Let t be ((-6)/(-4))/(1/(-2)). Sort -2, i, t in descending order. i, -2, t Suppose -3*w = 30 - 42. Put 2, -2, w in decreasing order. w, 2, -2 Let i = -43 - -30. Let h = i + 8. Let o = 1.2 + -0.2. Put o, h, 3 in ascending order. h, o, 3 Suppose -3*r = 5*b + 22 - 0, -5 = b. Let i be -8*(4 - 3) - (1 + -4). Sort i, -2, r in descending order. r, -2, i Let l = -4 + 4. Let q be -1 - l - (-1)/(-1). Let c = 0 + -3. Sort q, 5, c in descending order. 5, q, c Let s(f) = f**3 - 13*f**2 + 12*f + 1. Let x be s(12). Let v(l) = l + 1. Let j be v(3). Sort -3, j, x in ascending order. -3, x, j Let b = -9 + 4. Let h = -3 - b. Sort -3, -1, h in increasing order. -3, -1, h Suppose -3*l + 45 - 5 = -5*c, 5*c = -25. Let u(n) = 2*n + 4. Let j be u(-6). Let y = l + j. Put y, -2/7, -0.5 in ascending order. y, -0.5, -2/7 Let h = 2.26 - -0.14. Let l = 0.4 - h. Sort 2, -0.2, l in descending order. 2, -0.2, l Let s be 92/(-10)*35/(-14). Suppose -3*q + 2 = s. Let o be (-150)/35 - 2/q. Sort o, 2, 0 in decreasing order. 2, 0, o Let h = -1.1 - -5.1. Let s = 0.17 - -0.03. Sort h, s, 0 in decreasing order. h, s, 0 Let x(w) = w**2 - 2*w - 3. Let k be x(4). Let q = 8 - k. Suppose -5*z = -q*z + 4. Sort 3, 5, z in descending order. 5, 3, z Let x be (6/(-8))/((-4)/16). Let b(t) = -t + 9. Let o be b(4). Sort 2, x, o in increasing order. 2, x, o Let g(a) = a**3 + 2*a**2 - 8*a. Let l be g(-4). Suppose 2*x - 15 + 5 = 0. Let f(b) = b**3 + 4*b**2 + 3*b - 2. Let y be f(-3). Sort y, l, x in decreasing order. x, l, y Let u = 0.072 - -0.328. Put u, -1, -0.1 in increasing order. -1, -0.1, u Suppose 19*b - 16*b + 15 = 0. Sort 2, b, 0.3 in decreasing order. 2, 0.3, b Let r = -0.3 - 0.7. Put -2, r, 4 in decreasing order. 4, r, -2 Let t = 41 + -40. Suppose -2*j - 3*h = -1 - 1, -h = 4*j + 6. Put -4, t, j in ascending order. -4, j, t Suppose -r - 125 = -6*r. Sort 1, r, 3. 1, 3, r Let x = 0.84 + -0.64. Put x, -0.3, 3 in decreasing order. 3, x, -0.3 Let l(i) = i**2. Let s(c) = 3*c**2 + 6*c + 6. Let r(k) = 2*l(k) - s(k). Let n be r(-4). Sort 5, n, 0 in ascending order. 0, n, 5 Let u = 1 + -3. Suppose 8 = 4*x - 0. Suppose -h = -4*j - j + 15, x*h - 4*j = -12. Put h, 3/5, u in decreasing order. 3/5, h, u Let a = 6 + -3. Let u = -1/8917 - 1150289/35668. Let m = 33 + u. Sort a, m, 0 in ascending order. 0, m, a Suppose -3*d + 3 + 0 = 0. Put d, -18, 0 in decreasing order. d, 0, -18 Let m = 14 + 1. Suppose 5*z + 5*o = 3*z - m, 18 = -3*z - 3*o. Put -1, z, 1 in descending order. 1, -1, z Let n(x) = -x**2 - 7*x - 1. Let t be n(-6). Suppose -2*g = -2*z - 6*g - 58, 0 = -z - t*g - 29. Let v be (-2)/(-9) - z/(-9). Sort -5, 5, v. -5, v, 5 Let z = -0.06 + 0.16. Put z, -1, 2 in decreasing order. 2, z, -1 Let z(p) be the second derivative of p**3/6 + 13*p**2/2 + 6*p. Let g be z(-9). Let q be (-2)/4 + 10/(-4). Sort g, 5, q in increasing order. q, g, 5 Let k = 0.012 - 0.512. Put 4, -6, k, 0.3 in ascending order. -6, k, 0.3, 4 Let w = -7 - -4. Put 2/15, w, 21 in ascending order. w, 2/15, 21 Let y be -3*(-1 + (-21)/(-27)). Let f = 3 - 1. Let b be (f/1 + 0)/(-17). Sort y, -3, b in ascending order. -3, b, y Suppose -5*w = 40 - 40. Sort 5, w, -1, -2 in ascending order. -2, -1, w, 5 Let g = -103 - -98. Let h be (-4 - -2) + (-4)/2. Sort g, h, 0 in ascending order. g, h, 0 Let i be 4/(-2)*(1 - -4). Let s be 4/i - (-37)/5. Let r = s + -4. Sort -2, -3, r. -3, -2, r Suppose -3*i + 52 = 7. Suppose -z = 20 - i. Sort 7, 3, z. z, 3, 7 Let o = 0.8 + -1.3. Let x be (-2)/(-12) - (-2)/6. Put o, -1, x in decreasing order. x, o, -1 Let v = 17 - 17.5. Sort 2/11, -3, v in descending order. 2/11, v, -3 Suppose -n + 13 = -5*a, -5*n - 17*a = -16*a - 13. Let s = -25/22 - -18/11. Sort -5, s, n. -5, s, n Let h be (-4)/(-14) - 66/(-14). Suppose 0 = c + c. Suppose 4*z - 3 - 2 = 3*n, 2*z + 14 = -4*n. Sort c, h, z in increasing order. z, c, h Let g(y) = -y + 20. Let o be g(0). Let k = o - 18. Put k, 0, 5 in increasing order. 0, k, 5 Let m = 80 - 83. Let u = -0.37 + -0.03. Let z = 0 + u. Put m, 3/5, z in ascending order. m, z, 3/5 Let p = 149/343 - 2/343. Let s = -0.35 - 0.05. Sort s, 0.4,
{ "pile_set_name": "DM Mathematics" }
iggest value in 0.2, 17, 1/2, 0.3, -39/179? 1/2 Which is the biggest value? (a) -0.2 (b) -4 (c) 8 (d) -1928590 c Which is the second biggest value? (a) -11 (b) 0.126 (c) 4 (d) 26880/11 c What is the smallest value in 0.4, -2275.866, 6? -2275.866 Which is the seventh smallest value? (a) -2/5 (b) -4 (c) 3 (d) -1/4 (e) 816 (f) 4/9 (g) 19 e What is the second smallest value in 0, -4, -1, 3, -12, 8? -4 Which is the sixth biggest value? (a) -308.4 (b) -1 (c) -3 (d) 2 (e) 2/21 (f) -3/4 a What is the second smallest value in -3, -30, 58, -68, -27? -30 What is the fourth biggest value in -60, 0.2, 2436, 9? -60 What is the fourth biggest value in 1/7, 973, -1/7, 22/43? -1/7 What is the fourth biggest value in 3, 1.01977, -0.5, -1/14? -0.5 What is the second biggest value in -2928, 4, 0.082? 0.082 Which is the biggest value? (a) 8/7 (b) -0.4 (c) -1/24 (d) -4/3 (e) 503 e Which is the biggest value? (a) 5 (b) -1070 (c) 0.2 (d) -5/11 a What is the fifth biggest value in 3, -371, 4, 0.3, 100, 1? 0.3 Which is the second smallest value? (a) 3/92 (b) -5/3 (c) -1/52 (d) 4/3 (e) -4/7 (f) 0.3 (g) -0.4 e What is the third biggest value in 3, 24/19, -2/1255? -2/1255 What is the second biggest value in -132, -1061, -53? -132 Which is the second smallest value? (a) -3 (b) 42 (c) 4 (d) -2412.49 (e) 5 a Which is the third smallest value? (a) -11/10 (b) 0.8 (c) 33019 c Which is the second biggest value? (a) 2 (b) 6 (c) 1/2 (d) 4 (e) 137 (f) 367 e Which is the third biggest value? (a) -0.1 (b) 2.4 (c) 0.16 (d) -1 (e) -84.4 a Which is the second smallest value? (a) 2/21491 (b) -0.2 (c) -0.5101 (d) 0 b What is the seventh biggest value in -2/11, -8, 1, 96, -0.1, 2/983, -7? -8 Which is the sixth smallest value? (a) -0.67 (b) 0.1 (c) -3 (d) -9 (e) 3 (f) 3/20 (g) -0.2 f What is the sixth smallest value in -33/20, -1/5, -5, -101, 1, 2.7, 2? 2 What is the biggest value in -1, -533, 496, -3, -2? 496 Which is the sixth smallest value? (a) 5/2 (b) 6 (c) -3/8 (d) -1354 (e) -3 (f) 1 (g) -2/5 a What is the third smallest value in -301243, -2, 1/5? 1/5 Which is the second smallest value? (a) 9 (b) 3 (c) 0.044 (d) 4 (e) -0.2 (f) -54 e What is the biggest value in 0, 3/7, -25, -3/5, 509? 509 What is the third smallest value in 733/6, -0.4, -0.2, -1/10, 3, 5, 0.5? -1/10 Which is the smallest value? (a) -0.2 (b) -1/4 (c) 10367.8 b Which is the smallest value? (a) 3 (b) -0.4 (c) -2 (d) -59.772 (e) 0.2 (f) -15/7 d Which is the third biggest value? (a) -33615 (b) -1 (c) -5 (d) 3 (e) 4 (f) 1/9 f Which is the third smallest value? (a) 0 (b) -1/3 (c) -1121 (d) 3/5 (e) -8 (f) -2 f Which is the second biggest value? (a) 0.3 (b) 38104 (c) 4 (d) 2/11 c Which is the fourth biggest value? (a) 5 (b) -0.1 (c) -1/4 (d) -6/11 (e) -12878 d Which is the fourth biggest value? (a) 37 (b) -2.4 (c) 1/44 (d) -2/9 (e) -5 (f) -16 b Which is the sixth smallest value? (a) -3/2 (b) -4 (c) 2/7 (d) 6 (e) 0.833 (f) 2/5 (g) 3/5 e What is the second biggest value in -1, 2.1, -227734? -1 Which is the second biggest value? (a) 1938 (b) 39 (c) -0.55 b Which is the fifth biggest value? (a) 0.2 (b) -5 (c) 2/7 (d) -0.44 (e) -7/64 b Which is the second biggest value? (a) 113 (b) 1/4 (c) 9/2771 b What is the second smallest value in -23/349, -76/9, -1/32? -23/349 What is the biggest value in -8320, 7/4, 40? 40 Which is the third smallest value? (a) 2/5 (b) 2592897 (c) -1 b What is the third biggest value in 2, -3/13, 4375352? -3/13 What is the fourth smallest value in 4/111, 505/2, -6, -0.1? 505/2 Which is the second biggest value? (a) 1/4 (b) -3 (c) -56/15 (d) -1/6 (e) -0.0594 e Which is the fourth smallest value? (a) -4 (b) 1/4 (c) 1 (d) 6.06 (e) -0.1 (f) -18 b Which is the third smallest value? (a) -0.25 (b) 2 (c) -14 (d) -2 (e) -1/3 (f) 42 e Which is the sixth biggest value? (a) -4 (b) 2 (c) 38 (d) -23/3 (e) 4 (f) 34 d What is the second biggest value in -4/3, 0.362, 33, 0.8, -1/6? 0.8 What is the fourth biggest value in -0.1, 0, 126, -660, 52? -0.1 What is the biggest value in -2684.1, 22/9, -7? 22/9 What is the third smallest value in -758, 1, 5, -1/3, -144? -1/3 What is the sixth smallest value in -4, -0.3, -13/5, -1/7, 3/17, 389, -1/4? 3/17 What is the fourth biggest value in -3, 0, -0.77423, -6.5? -6.5 Which is the smallest value? (a) -1/10 (b) -5 (c) -296 (d) 15 (e) 407 c What is the fourth biggest value in 298, -1/3, 5, 1357? -1/3 What is the second smallest value in 20.31, -29.5, -1/3? -1/3 What is the third smallest value in -0.5, -2/13, 11031548? 11031548 What is the third smallest value in -23, 2/11, 2463, -1/11? 2/11 Which is the second smallest value? (a) -5 (b) 18804642 (c) 2/7 c What is the smallest value in 0.4, 253, 185/8, -0.2? -0.2 Which is the fifth smallest value? (a) -2/11 (b) 3 (c) -0.2 (d) 10/27007 (e) -3/4 (f) -2 d Which is the biggest value? (a) -3 (b) 60757113 (c) -0.2 (d) -0.4 b What is the second biggest value in -0.06, -0.3, 3429940? -0.06 What is the seventh smallest value in 3/2, 0.9, -0.02, -11, -2, -4, 3? 3 Which is the second biggest value? (a) 0.7 (b) -1 (c) -0.65 (d) -4 (e) 4/7 (f) 0 (g) -27 e Which is the third smallest value? (a) 4 (b) -0.2073 (c) 0.058 (d) -5 c Which is the fifth smallest value? (a) -7 (b) -0.5 (c) -5 (d) -48 (e) -3/4 (f) 3 (g) 5 b What is the fourth biggest value in 0, -50, -2/21, -0.3, -388? -50 Which is the third smallest value? (a) 5 (b) 9/2 (c) -18/5 (d) -1/2 (e) -1/12 e Which is the sixth smallest value? (a) -1230 (b) -4 (c) 2/7 (d) 6 (e) -0.2 (f) -3 (g) -2 c What is the third biggest value in 1/6, 46.39, -0.2, 0, 1016/5? 1/6 What is the smallest value in 7009/2, -4889, -4? -4889 What is the third smallest value in 146, -8, 0.206, 1/3? 1/3 Which is the fourth biggest value? (a) -3 (b) 431.6 (c) 3 (d) -13.6 (e) -4 e What is the fifth biggest value in 4.39, -5, 0.13, 1, 4, -338? -5 What is the smallest value in -0.4, -1/15, -2/41, 0.2, 2578, -2? -2 What is the fifth smallest value in -2/5, 1.3, -0.16359, 0, -480? 1.3 Which is the fifth biggest value? (a) -6 (b) 57622 (c) -3 (d) 2 (e) -2/7 a What is the second biggest value in -8, 0.64, 0.06, 2/61, -5, -5/2? 0.06 Which is the fourth smallest value? (a) -137/5 (b) 4/5 (c) 2 (d) -11.82 (e) 4 (f) -0.1 b Which is the sixth biggest value? (a) 39.8 (b) -1 (c) 74 (d) -4/3 (e) -0.5 (f) -2/15 d What is the smallest value in -0.04, -5, 45/16, 25, 5? -5 Which is the second biggest value? (a) 1 (b) -9 (c) 2 (d) 1.03 (e) 1/2 (f) -3/2 (g) -0.4 d What is the third smallest value in -4, 2, 35001/5, 1? 2 What is the fifth smallest value in 3/11, -7, 0.5, 1, -133, -3, 0? 3/11 Which is the fifth smallest value? (a) 267/17 (b) 3/5 (c) 3 (d) -16 (e) 0.09 (f) -5 c Which is the fourth smallest value? (a) -5 (b) 1574 (c) 53 (d) 829 b What is the sixth biggest value in -1, 7.9, -2/7, 1.2, 8, -227? -227 What is the smallest value in 20/29, 1, 14/309? 14/309 What is the third smallest value in 4/173, -0.102, 18? 18 Which is the biggest value? (a) -0.02 (b) -1/2 (c) 5 (d) 8/4885 (e) 0.09 c Which is the fourth smallest value? (a) 0.10945 (b) 26 (c) -20 (d) -2/11 b Which is the smallest value? (a) 2/19 (b) -2 (c) -0.016 (d) -9 (e) 2/5 (f) 0.1 (g) -1 d Which is the third smallest value? (a) 1.2 (b) -1/2 (c) 5 (d) 815/16 (e) 0.3 a What is the third smallest value in -0.1, -6, 5/13499, 0.3, -2? -0.1 Which is the second smallest value? (a) 14694990 (b) -2 (c) -5 (d) -0.2 b Which is the smallest value? (a) -0.8184 (b) -735/2 (c) -0.2 b What is the smallest value in -4/47, 50/13, 1/3? -4/47 What is the second biggest value in 1/291, -2/63, 2/9, 9/5, -5, 3/5? 3/5 Which is the third smallest value? (a) 4 (b) -2 (c) -199 (d) 3222 a Which is the second smallest value? (a) -1/62 (b) 1/4 (c) 32.83 (d) 0 (e) 3/2 d Which is the smallest value? (a) -70/51 (b) -51915 (c) -4/7 b What is the fifth smallest value in -1425033, 3/8, 1, 29, -1, -4? 1 Which is the biggest value? (a) 0.01651 (b) 2 (c) 144 c Which is the second biggest value? (a) -13.88 (b) -27 (c) 4 (d) 3/5 (
{ "pile_set_name": "DM Mathematics" }
d be ((-5)/3)/(h/120). Solve 3*x = x - d for x. -1 Suppose 62*r = 55*r - 7042. Let o = r + 1007. Solve 3 + o = 4*t for t. 1 Let z be (-4 - 28/(-6))*9/2. Suppose 2*y = -z*g - 2*y + 7, -y = 3*g + 5. Let j be (5 - -1)*(-5 + (-18)/g). Solve j*l = l for l. 0 Suppose -5*d + 17 = -c + 5*c, -2*c = -4*d - 2. Let u be 6*d + 24/(-28)*7. Solve -5*i + 2*i + 5*i = u for i. 0 Let n = 17136 + -17005. Solve -143*b = -n*b + 60 for b. -5 Let j = -4150 - -4164. Solve 132*m - j = 125*m for m. 2 Let v = 267 - 260. Suppose -v*b + 8*b + 24 = 4*p, -3*b = 3*p - 18. Solve -3*z - p = -0 for z. -2 Suppose -10 = -v + c, -5*v + 7*v = -3*c + 15. Let i be 56/10 - (-2)/5. Solve -i*j + v = -3*j for j. 3 Suppose 67*k - 54777 = -220*k - 16893. Solve k = -63*u - 246 for u. -6 Let s be 1/(-2) + 6/4. Let u be (1 + 0 - (-11)/22)*2. Suppose 19 = 3*b + m, 5*m - 13 - 22 = -u*b. Solve b*a = s + 9 for a. 2 Suppose -w - 57 = 2*j, w - 15 + 66 = j. Let a(b) = -6*b**2 + 2*b + 4. Let u be a(-3). Let o = w - u. Solve -14 = o*k + 1 for k. -5 Suppose 0 = 2*z - s + 1 - 14, -3*z + 9 = 2*s. Suppose z*c - c - 20 = 0. Suppose c*v = -5, -x + 17 = 3*x - 5*v. Solve -2*h = -3*h + x for h. 3 Let r be (37 - -37)*((-3)/6)/(-1). Solve -r + 73 = 6*x for x. 6 Let p = -23281 - -25618. Solve -p*x + 2341*x = 32 for x. 8 Suppose -3*t + 467 = 9*b - 8*b, 3*b + 769 = 5*t. Suppose -t*g - 25 = -160*g. Solve -21 + g = -8*h for h. 2 Suppose -3*d + 29*d = 26 + 78. Solve -3*m + 0*m = -d*m for m. 0 Let m(y) be the second derivative of -y**5/20 + 4*y**3 + 24*y**2 - 87*y. Let u be m(-3). Suppose 4*x - x = 0. Solve a - 4 + u = x for a. 1 Let i be (55/(-22))/(150/(-240)). Solve i*o = 2*o - 9*o for o. 0 Let r(y) = -17*y**3 + 5*y**2 + 3*y - 1. Let x be r(-1). Suppose 2*l + 20*s = x*s + 22, -2*l = -3*s - 32. Solve -2 = l*p - 14*p for p. 2 Suppose 0 = 7*m - 5*m - 10. Suppose v - 7 = -4, -3*v + 9 = -m*h. Solve h = 5*x + 2 + 3 for x. -1 Suppose -4*f + 2*y + 66 = 0, 1 = 2*f + 5*y + 10. Solve f*x = 24*x + 33 for x. -3 Let y be (-9)/(-7) - (-18)/(-63). Suppose 37 - 15 = 5*a + 2*z, -a + 1 = -3*z. Suppose -3*i - 9 = -a*r, 0*i = 2*r - 3*i - 9. Solve d - y - 3 = r for d. 4 Suppose -948 + 200 = -13*m - 9*m. Solve -228*c + 211*c = m for c. -2 Let v be (6/(-9))/((-36)/(-1539))*-2. Solve -80*h + v*h + 184 = 0 for h. 8 Let g = -40889 - -40889. Solve g = -9*l - 104 + 23 for l. -9 Let x(m) = -2*m - 3. Suppose 2*q - 2*b = 26 - 2, 0 = -5*q - 5*b + 10. Let u be x(q). Let a = u - -21. Solve 0 = -a*v + 15 + 1 for v. 4 Let w(g) = 2*g**3 + 2*g**2 + 2. Suppose -2*u + 3 = -1. Let b be w(u). Suppose 0*v + 3*v - 4*l = b, -24 = -5*v - 3*l. Solve 0 = -3*s + v + 6 for s. 4 Suppose -2*c = 4*h - 8*h - 38, 0 = 3*c - 5*h - 52. Suppose 0 = -6*g - g + c*g. Suppose -5*y + 3*y + 6 = g. Solve 0 = -v - 8 + y for v. -5 Suppose q = -5*p - 5 - 94, 5 = p. Let a = q + 129. Solve -9*n = -a*n for n. 0 Suppose -l + 16 = -4*m - 9, 5*l = -3*m + 125. Let s = -18 + l. Let x = -1623 + 1625. Solve x = p + s for p. -5 Let f = -8336 + 8336. Solve f = -371*c + 368*c - 3 for c. -1 Suppose -4*b + 149 = 21. Suppose -2*v - 4*f = -b, -4*v - f = -2*f - 28. Suppose v*k - 9*k = -9. Solve -k = -2*z - 3 for z. 3 Let j = 196 - 599. Let a = 413 + j. Solve -a*k = -12*k - 10 for k. -5 Suppose -210 - 487 = -41*s. Solve s*i = 31*i + 14 for i. -1 Let p = -73 - -59. Let t be (-325)/(-91) - (-8)/p. Suppose 0 = 4*w + 13 - 53. Solve -z + w = -t*z for z. -5 Let i(l) = -39*l - 16. Let w be i(3). Let s be ((-12)/14)/(-3) - 3420/w. Solve -s*k - 10 = -28*k for k. 5 Let l(w) = -w**3 + 9*w**2 + 19*w + 15. Let u be l(-5). Solve 0 = 2*p + 278 - u for p. -4 Let w be (-39 + 550/14)*(-29*14)/(-2). Solve 18*o - w = 14 for o. 4 Suppose 0 = 582*t - 566*t - 320. Solve t*y = 5*y for y. 0 Let f = 7 - 1. Suppose -f*b + b = 0. Suppose -5*a + 25*a + 104*a - 496 = 0. Solve b*p + a*p = 0 for p. 0 Let z be 153/(-119) + 4/14 - -4. Let n(t) = 3*t + 23 + 25 + 37. Let v be n(-26). Solve -v = -z*o - 19 for o. -4 Suppose -627*z = -628*z + 155. Let a = z + -153. Let t(n) = 4*n - 3. Let h be t(2). Solve -7*b = -a*b + h for b. -1 Let y be (62802/2457 + (-6)/(-39))/(9/42). Solve 0 = -128*q + y*q for q. 0 Suppose 0 = -721*d + 303793 + 45171. Solve 0 = -17*j + d - 331 for j. 9 Let v = 62 - 50. Let r = 15 - -73. Let j = r + -86. Solve 2*w + j*w = -v for w. -3 Suppose -5*b = 3*n - 269, 2*n - 5*n - 199 = -4*b. Let f(y) = -2*y**2 - 13*y + 101. Let w be f(-11). Solve -w*j + 60 = b for j. 4 Suppose 0 = -5*m - 0*m + 5. Let z be (-2)/(-1 + -1) - (-11 - m). Solve 0 = -4*t + 7 + z for t. 5 Suppose -9*u + 348 + 345 = 0. Suppose -u*l - 21 = -84*l. Solve 0 = -b - l*b for b. 0 Suppose -5360 = -119*t + 352. Solve 22*s - t = 28*s for s. -8 Suppose 0 = r - 3*u, 30*r + 5*u - 60 = 25*r. Solve -r*b + 8 = -1 for b. 1 Let x = 11191 + -11185. Solve -63 = -3*m - x*m for m. 7 Suppose -19*q = 4*q - 3128. Suppose 4*w - q = -b, b + 96 = 5*w - 74. Solve 6*z - 23*z = -w for z. 2 Suppose -q + t + 311 = 0, 732 = 2*q + 3*t + 120. Solve -q*k + 32 = -317*k for k. -4 Let y = -85 + -566. Let l = -650 - y. Solve l = 3*v + 10 for v. -3 Suppose 4*f + 3 = -2*p + 17, -3 = p. Let r be 3 + 15/(f + 0). Solve 3 = -r*z + 9*z for z. 1 Suppose -l + 3*j + 22 = 0, l = 2*l + 5*j - 6. Let r be 60/l - (-3)/(-4). Suppose 10 = 2*k - 2*u, 3*u + 0*u = 5*k - 19. Solve -r*v + 2 = -k*v for v. 2 Let x(a) = a**3 - 13*a**2 + 48*a - 171. Let p be x(10). Solve -17*w + 16 = -p*w for w. 2 Let h = 65 - 60. Suppose -m + 11 = r, -3*r + 8 = -5*r. Solve -m = -h*y + 8*y for y. -5 Suppose -3*w = -4*z - 41, -w + z = -4*z - 32. Suppose 115 = -w*j + 136. Solve d = -2*d - j for d. -1 Suppose 8*s - 120 + 0 = 0. Suppose -16 = 13*q - s*q. Solve q = -0*c + 4*c for c. 2 Let z be ((-129)/731)/(12/(-476)). Let d be 4/(-2)*-1 + 1. Suppose -d*c + 8*c = 0. Solve c = j + z - 2 for j. -5 Suppose 3 = 5*d + 8. Let h be (d - -2 - -1)/1. Let o be (1 - -1) + 0 + 0. Solve -o*w = -h - 4 for w. 3 Suppose 4*n + 4*r - 76 = 0, -5*n - 40*r + 44*r = -68. Solve -21*z = -13*z - n for z. 2 Suppose 0 = 5*w - 5*z - 5, -w = w - 3*z. Let m be (84/49)/(2*w/21). Suppose 3*s - 5*u = 1 - 3, u = s. Solve -7*n + s = -m*n for n. 1 Let r be ((0 - (3 - 3)) + -4)*1465/(-1172). Suppose -2*b + 33 + 7 = 0. Solve -r*g = -9*g + b for g. 5 Let p(b) = 683*b - 5824. Let m be p(10). Solve -3 = -1003*i + m*i for i. -1 Let b = 15 + -10. Suppose -4*v - 16 + 4 = 0. Let c be -1 + 8 + (5 - 4) + v. Solve 0 = -10*o + b*o + c for o. 1 Suppose 96 + 128 = 32*s. Solve -4*w - s*w + 22 = 0 for w. 2 Suppose 293*w - 2163 = -16*w. Solve -w = -113*v + 120*v for v. -1 Let p be (-3418)/(-19) + (2/19)/(48 + -47). Solve 19*i + p = 55*i for i. 5 Suppose 0 = -4*d + 5*d + 4*b - 21, -2*b = -d - 3. Let w be d/4 - 1/(-32)*-8. Solve 4*h - 11 - w = 0 for h. 3 Let h = -43883 + 43883. Solve h = -2*i + 127 - 129 for i. -1 Suppose 39 = 15*d + 9. Suppose 9 = -3*g - 3*m, 5 - d = -4*g - m. Suppose -5*h + 2*b + b - 4 = g, 5*h - 11 = -2*b. Solve -h - 4 = 5*u for u. -1 Suppose -13 + 5 = -4*s. Let x = 96 + -92. Solve -x*l = -s*l + 2 for l. -1 Let t(v) = 1. Let c(g) = 5*g - 11. Let p(h) = c(h) - 2*t(h). Let f be p(-7). Let z be 1 - ((-1)/2)/((-6)/f). Solve -1 = -z*b - 26 for b. -5 Suppose 20*g - 5*g = 135. Suppose 17 = 4*o + i, 2*o - 3*i + g = -0*o. Solve -o*h + 3 = 12 for h. -3 Let p = -3445 + 3449. Solve 29 - p = 5*c for c. 5 Suppose 0 = 17*r - 21*r + 40. Let p be r/(8 - 3) + -2. Solve -2*x + p*x = 0 for x. 0 Suppose -17*b + 2523 = 806. Solve 60 = 23*d - b for d. 7 Suppose -2527 = 5*t - 2572. Solve 5*r = -t*r for r. 0 Let u(t) = 18*t - 50. Suppose 12*j + 24 = 60. Let d be u(j). Solve 7 + 5 = -d*i for i. -3 Suppose 0 = -3*a - 7 + 37. Let q(c) = -5*c**2 + a*c**2 + 12*c - 5*c - 3*c**2. Let g be q(-4). Solve 0 = -g*z - 8 - 4 for z. -3 Suppose -4*i - 80 = -4*u, -4*u + 100*i = 97*i - 75. Solve -65 = -2*f + u*f for f. -5 Let z be (-69)/(-9) - 1/(-3). Let g = -23734 + 23741. Solve -z*j = -j + g for j. -1 Let t(a) = 26*a**2 + 177*a + 8. Let k be t(-7). Solve -9*u = 34*u + k for u. -1 Suppose 340*h - 352*h + 1800 = 0. Let p = -150 + h. Solve -5*s - 35 + 10 = p for s. -5 Let c be 560/12*((-136)/16 - -10). Solve 4*i - 54 + c = 0 for i. -4 Let w = -57 + 61. Let m be w + -3 + 2*1. Suppose -3*u - m*q = 2*q - 23, -u - q + 5 = 0. Solve u = -4*l + 5 for l. 1 Suppose -113*o = -184*o + 108*o - 629. Solve -o*n - 102 = -51 for
{ "pile_set_name": "DM Mathematics" }
hich is the closest to 1? (a) -2 (b) h (c) k b Let k = 10 - 5. Let f be (-2*(-1)/(-18))/(18 - 1084/60). What is the closest to -1.1 in 3/5, k, f? 3/5 Suppose 4 = f - 5*f. Let l = 22959 - 22958.9. Let h = 1 - 0. Which is the nearest to l? (a) f (b) h (c) 4 b Let r be (-10)/6 + 1/1. Let d = 17886 - 17882. Let l be (-1)/(2 - (-9)/(-2)). Which is the closest to l? (a) -4 (b) d (c) r c Let o = -1547/3 + 516. What is the closest to -0.1 in o, 4, -2/7, -43? -2/7 Let y = -583.6 - -840.6. Which is the nearest to -0.1? (a) y (b) 3 (c) -0.5 (d) -5 c Suppose s = 7*u - 3*u - 5, -2*s - 2*u = 0. Let k be s + 114/216 + (-2)/(-9). What is the nearest to k in 2, -1/2, -0.3? -0.3 Let w = 544.7 + -545. Let k be ((-442)/318)/((-84)/(-45)). Let y = 2/371 - k. Which is the nearest to -1? (a) y (b) 0.4 (c) w c Let n = 2.9 - 2.7. Let h = 2.8 + n. Let s be 2/5*-2*(-15)/(-6). What is the nearest to s in h, -3, 0.3? -3 Let d be 4/(-10)*(7 + -47). Suppose d = 9*f - 11. Let o = -10 + 8. Which is the closest to 2? (a) o (b) -1/5 (c) f c Suppose 0 = -3*p - 5*z - 7, 0 = -3*z - 5 - 10. Let w = p - 3. Let j = -99476 + 99476. Which is the closest to j? (a) w (b) 0.2 (c) 20 b Let n = 13/579 + 60/193. Which is the closest to 0? (a) 1 (b) n (c) 0.1 (d) -16 c Let k be 15958/395 - (18 - -23). Let t = -22 + 12. What is the nearest to 2 in t, 2, k? 2 Let u = -337 - -199. Let w = 137.9 + u. Which is the closest to -2? (a) 55 (b) 2/11 (c) w c Let h = 3.516 - -0.024. Let w = h + -3.57. Which is the nearest to 1? (a) -0.3 (b) 2/11 (c) 2 (d) w b Suppose -15 = -4*y - 3*n, 1207*y - 1206*y + 4*n = 7. What is the closest to y in 1/9, -5, 0.3, 1/2? 1/2 Let w = 270.9 - 274. Let h = 3 + w. Which is the nearest to 1/4? (a) h (b) -14 (c) 0.3 c Let i be (-2)/4 + (-1)/(-14). Let k = -235 + 239. Suppose 0 = -t + 3*a - 16, -a - 15 + k = 2*t. What is the nearest to -1 in i, -2, t? i Let m(u) = 3*u**2 + 43*u - 176. Let b be m(4). What is the nearest to -1 in -1/6, -0.5, 0.2, b? -0.5 Let o = -324 - -324.861. Let x = -0.139 - o. Which is the closest to x? (a) 0 (b) -2/5 (c) 0.4 (d) 0.15 b Let o(n) = 22*n + 99. Let r be o(-7). Let g = -384/7 - r. What is the nearest to -7 in -1, -3/5, g? -1 Let i = 1 + 0. Let z = 77433 + -77438. What is the nearest to 1 in i, 3, z? i Let w = 10.962 - -0.038. Let d = w - 2. Let p = -41 - -42. What is the nearest to p in 0.3, d, -1/4? 0.3 Let d = -11.27 - -15.54. Which is the closest to d? (a) 5 (b) -1 (c) 2 a Let w = -3650.5 + 3650. Which is the closest to 1? (a) w (b) -33 (c) -1 (d) -0.1 d Let q be 2/(-5)*(-8 - (-207)/24). Let n = -311 + 281. Which is the nearest to n? (a) -1 (b) -1/2 (c) q a Let g be ((-56)/560)/((-6)/(-20)). Which is the nearest to g? (a) 5 (b) -6/65 (c) 2/11 b Let p be 1/((-69)/2)*3. Let n = 1891.5 - 2404. Let h = n + 513. What is the nearest to -0.1 in p, h, 1? p Let t = 1.59 + -6.49. Let c = t + 5.9. What is the closest to -1 in c, 1/22, 0.3? 1/22 Suppose 86*d - 238 = -33*d. What is the nearest to d in 4, -3, -0.2, 3? 3 Let v = -255/28 - -1107/140. What is the nearest to v in 2/3, -0.14, -0.4, -1/6? -0.4 Let s = -0.3294 + -9.7706. Which is the closest to 2/5? (a) s (b) -2/9 (c) 0.4 c Let u = 0.0437 + 253.7563. Let h = u + -254. Let v = 0 + 0.1. What is the nearest to 0.035 in v, 2/9, h? v Let w = 40.4 - 42. Let p = w - -1.73. Let n = -0.23 + p. Which is the closest to n? (a) 4 (b) -1 (c) -4 b Let t be 51/(-172) + (-3)/(-12). Let p = 3493 + -3493. Let i = -0.04 + 2.04. What is the closest to p in t, 4, i? t Let b = 8 - 4. Let u be 101/(1818/(-940)) + 52. Let g = -0.3 - -1.3. What is the nearest to g in b, 0.4, u? 0.4 Let n = 4637.2 + -4637. Suppose 3*o = -2*o - 15. What is the closest to n in o, 2/5, -13? 2/5 Let g = -0.801 + 1.501. What is the nearest to g in 0.02, 0.5, 1/8, 3? 0.5 Let f = 83 - 748/9. Let l = -18472 + 18470. What is the closest to 0.1 in l, f, -8? f Let y = -0.079 - -0.889. Let z = y + 6.79. Let n = z - 8. Which is the nearest to 1? (a) 3 (b) n (c) 1 c Let t = -245496 + 2454959/10. Let x be 0 + 1 - 32/5. Let d = x + 361/65. Which is the closest to 0.2? (a) t (b) 0 (c) d c Let q = 0.0875 + 276.9125. Let k = q + -276. What is the closest to k in -5, 4, 2/7? 2/7 Let t = 0.2 + -0.1. Let w = 533/8 - 67. Let p be -10 - (47 - -1)*23/(-115). Which is the closest to -1? (a) w (b) p (c) t b Let p = -136.317 - -0.317. Let d = p + 139. What is the closest to d in 3, -4, 0? 3 Let s = -5.73 - -11.92. Let b = s - 6. Let u = b - 0.09. What is the nearest to -2 in 4, -4, u? -4 Let q be -1 - -1 - (2100/(-245))/30. Which is the nearest to q? (a) -0.06 (b) 0.6 (c) -0.3 b Let w = 32.849 - -0.051. Let k = 33 - w. Let j be 0*((-330)/(-693) - (-1)/(-7)). What is the closest to k in j, -0.3, -2? j Let n = 5280 - 5284. Which is the closest to -0.1? (a) n (b) 1/7 (c) -0.03 (d) 4 c Let r = -131/3 - -44. Let h = 4998 - 4995. Which is the closest to -0.2? (a) r (b) h (c) -0.5 (d) 1 c Let z = 64.25 - 64.75. Which is the closest to -2? (a) 3 (b) -1 (c) z (d) 6 b Let i be (1/(-7))/((-12)/14). Let w = 10763 + -10764. Which is the nearest to w? (a) 0.3 (b) 34 (c) i c Let y = -6168 - -6168. Let s = 11 - 8. Let w = 16 - 15.9. Which is the nearest to y? (a) s (b) w (c) -0.5 b Let n = -1942.991 - -1943. What is the closest to n in 2, -1, -3/4, -4/5? -3/4 Let g = 28.88 + 0.12. Let c = 31 - g. Let m = -19/28 - -5/28. What is the nearest to -2/3 in c, m, -5? m Let v(n) = -n**2 - 5*n - 8. Let x be v(-4). Let m = 562 + -554. Which is the nearest to m? (a) 0 (b) x (c) -0.4 a Suppose 3*x - y = 21, 623*y = -4*x + 621*y + 28. What is the closest to -0.1 in -1/3, -0.22, -2/9, x? -0.22 Let y = 116.5 + -116.5. Let g = 2 + -4. Which is the nearest to 0.1? (a) -8/9 (b) y (c) g b Let r = 381.8 - 366. Let z = -16 + r. Let u = -374/15 + 76/3. What is the closest to -0.1 in z, -2, u? z Let c(j) = -j**3 + 12*j**2 - 21*j + 13. Let f be c(3). Suppose 4*a + 47 = f. What is the nearest to 1 in -5, 55, a, 0? 0 Let d = -9995 + 9994.7. What is the closest to 2/3 in -2/17, 1, 2/7, d? 1 Let p be 8/4 + 144/(-27). Which is the nearest to -1? (a) 1/4 (b) -4 (c) p (d) -1/8 d Let p be (155/20 + -9)*(-10)/75. What is the closest to p in 3/2, 3/4, 6/11, 5? 6/11 Let y = -18888 + 18889. Let i = -973/15 - -31/5. Let f = -58 - i. Which is the closest to f? (a) y (b) 5 (c) -3 a Suppose 2*t = -4, -2*t - t - 10 = i. Let m be 15/(-40)*i/9. Which is the closest to -0.15? (a) -4 (b) m (c) 2 b Let w = 7155.93 + -7156. Which is the closest to -0.4? (a) -8 (b) -0.1 (c) 0.1 (d) w b Let w(l) = 867*l - 285*l + 142 - 291*l - 287*l. Let r be w(-36). Which is the nearest to -1? (a) -1/3 (b) 2 (c) r a Let o = 29 + -85/3. Let h be ((-4)/(-15))/((-2231)/(-115) + -19). What is the nearest to h in 2, o, -1/2? o Let d = -737 + 744.8. Let q = 0.26 + -7.76. Let o = q + d. What is the closest to 1.3 in -4/7, 1/5, o? o Let d = 0.05433 - -0.04567. Which is the nearest to d? (a) -3 (b) 14/19 (c) 5 b Let x be ((-5300)/(-15))/(-10)*-33. Suppose x - 1146 = -4*m. What is the nearest to -0.3 in 5, 3, m? 3 Let h = 230.63 + -230.43. What is the closest to -2/33 in 1/3, h, 0.046? 0.046 Let g = 6904 - 6903. What is the nearest to -2/3 in -18/5, g, 5, 2? g Let p = -103 + 101.96. Let f = p + 1.14. What is the closest to f in -2/3, -1/45, 0.5? -1/45 Let j be 79/55 + 20/1200*12. What is the nearest to 1 in j, -2/15, 17? j Let w be (-1672)/(-264) + (-4 - -2*(-3)/3). Which is the closest to w? (a) 0.11 (b) 69 (c) -3/2 a Let z = 0.077 - 46.077. Let l = z - -88. Let i = 42.2 - l. Which is the closest to -1? (a) i (b) -1 (c) 4/9 b Let v = 3653 + -3651. Which is the nearest to 5? (a) 4 (b) v (c) 3 a Let x be (-3)/(966/(-1771) + (-90)/(-44)). What is the closest to 6 in x, 0, -0.4? 0 Let p = -6509 + 6510. What is the closest to p in 0, 5, -0.13? 0 Let s = -0.647 + 0.6068. Let c = 0.8402 + s. Let h = 1.7 + 0.3. What is the nearest to h in -3, 0, c? c Let t = 0.04 - -0.22. Let k = t - 0.16. Let i = -62 - -121/2. Which is the nearest to k? (a) i (b) 0.2 (c) 2 b Let c be (-1 - (-4)/10)/((-48)/8). What is the nearest to -20/11 in c, -2/11, -4? -2/11 Suppose 18*g - 154 - 319 = 391. Which is the closest to 2? (a) -0.1 (b) g (c) -1/2
{ "pile_set_name": "DM Mathematics" }
z**3 + 3/4*z**d + 0 - 1/2*z = 0 for z. 0, 1, 2 Let n(z) be the second derivative of z**7/30 - 19*z**6/120 + z**5/4 - z**4/24 - z**3/3 + 3*z**2/2 - z. Let w(q) be the first derivative of n(q). Factor w(s). (s - 1)**3*(7*s + 2) Let l(h) = -40*h - 112. Let m be l(-3). Factor 0 + 2/3*z**4 + 16/3*z + 4*z**3 + m*z**2. 2*z*(z + 2)**3/3 Factor 1/2*b**3 - 3/2*b**2 + 3/2*b - 1/2. (b - 1)**3/2 Solve 10*q + 7 - 6*q**2 + 3*q**4 - 21*q**3 - 49*q + 51*q**2 + 5 = 0. 1, 4 Let l(s) = s**5 - s**4 - 12*s**3 + 20*s**2 - 8*s. Let p(y) = 2*y**5 - 2*y**4 - 12*y**3 + 20*y**2 - 8*y. Let o(u) = 2*l(u) - 3*p(u). Factor o(d). -4*d*(d - 1)**3*(d + 2) Let x(v) = v**2 + 7*v + 8. Let d be x(-6). Suppose 4*s + 16 = 3*a + d, -2*a = -2*s - 8. Determine f, given that f - 2*f**a + 0*f**2 - 5*f = 0. -2, 0 Let s be -4 - 1188/(-188) - 1. Let n = s + 2/141. Factor -2*h**4 - 2/3*h**5 - 4/3*h**3 + 2/3 + 2*h + n*h**2. -2*(h - 1)*(h + 1)**4/3 Let a(j) be the first derivative of 0*j - 1/2*j**2 - 1/12*j**4 + 1/20*j**5 - 2 - 1/6*j**3. Let g(y) be the second derivative of a(y). Factor g(t). (t - 1)*(3*t + 1) Suppose 4*d + 2*v - 4 - 10 = 0, d + 1 = 4*v. Let l(j) be the first derivative of -2 + 0*j + 1/7*j**2 - 4/21*j**d + 1/14*j**4. Factor l(b). 2*b*(b - 1)**2/7 Let d be 3/(-4)*(-40)/15. Suppose -q - 2 = -d*q. Factor -24/5*l**4 + 0*l + 0 + 4/5*l**q - 14/5*l**5 - 6/5*l**3. -2*l**2*(l + 1)**2*(7*l - 2)/5 Let k(t) = -1. Let u(s) = -6*s**2 - 8*s + 4. Let l(w) = -4*k(w) - u(w). Let d(p) = 4*p**2 + 5*p. Let q(m) = 8*d(m) - 5*l(m). Find h, given that q(h) = 0. 0 Let i(l) be the second derivative of l**7/105 - 2*l**5/25 + l**4/15 + l**3/5 - 2*l**2/5 - 6*l. Factor i(g). 2*(g - 1)**3*(g + 1)*(g + 2)/5 Let h(i) be the second derivative of 1/24*i**4 + 3/4*i**2 + 0 - 1/3*i**3 + 4*i. Factor h(y). (y - 3)*(y - 1)/2 Let h(y) be the second derivative of -y**5/15 + y**4/9 + 9*y. Let h(s) = 0. Calculate s. 0, 1 Let n(r) = -r**3 + 13*r**2 - 13*r + 17. Let v be n(12). Suppose 3*k = 11 - v. Solve 2*o**3 - 1/3 - 8/3*o**k + 3*o**4 - 2*o = 0 for o. -1, -1/3, 1 Let u(b) be the second derivative of b**6/180 - b**4/36 + 3*b**2/2 - b. Let k(i) be the first derivative of u(i). Factor k(x). 2*x*(x - 1)*(x + 1)/3 Suppose 0 = -4*c - 3 + 23. Factor 3*s**2 + 0*s + s + c*s - 4 + 7. 3*(s + 1)**2 Find k, given that 3 + k**2 + 5*k - 3 - 4*k = 0. -1, 0 Let w(j) be the first derivative of j**3 + 15*j**2/2 + 12*j - 6. Suppose w(u) = 0. Calculate u. -4, -1 Let r(z) = -2*z**2 + 2*z - 1. Let o be r(1). Let f(i) = -4*i**3 - 1. Let n be f(o). Find k, given that -k**2 - 6*k**2 - 7*k**3 - 2*k + 2*k**n = 0. -1, -2/5, 0 Let k(u) = u + 12. Let d be k(-8). Let y(q) be the third derivative of 1/27*q**3 + 0*q + 2*q**2 + 8/135*q**5 + 2/27*q**d + 0. Factor y(x). 2*(4*x + 1)**2/9 Let s(n) be the second derivative of -n**8/10080 + n**6/1080 - n**4/3 + 3*n. Let j(f) be the third derivative of s(f). Factor j(r). -2*r*(r - 1)*(r + 1)/3 Let g(l) be the first derivative of 5*l**6/6 - 3*l**5 + 5*l**4/2 + 10*l**3/3 - 15*l**2/2 + 5*l + 6. Factor g(x). 5*(x - 1)**4*(x + 1) Suppose 12*n = -6*n + 72. Let c(z) be the first derivative of 0*z**3 + 0*z**2 + 8/35*z**5 + 1 + 1/14*z**n + 0*z. Find y such that c(y) = 0. -1/4, 0 Let f(g) be the third derivative of -g**8/672 + g**6/60 - g**5/60 - g**4/16 + g**3/6 + 9*g**2. Factor f(w). -(w - 1)**3*(w + 1)*(w + 2)/2 Let x = 394 + -1573/4. Factor 3*f + x*f**2 + 3. 3*(f + 2)**2/4 Let c be 51/15 + -2 + -1. Let m be (-4)/(60/9) - -1. Let -2/5*b**3 + 2/5*b + c*b**2 - m = 0. What is b? -1, 1 Let o(c) = -3*c**5 - 9*c**4 - 3. Let k(d) = 5*d**3 - 5*d**5 - 6*d**3 - 17*d**4 - d**5 - 5. Let s(j) = -3*k(j) + 5*o(j). Solve s(n) = 0. -1, 0 Let l(g) be the second derivative of -2*g + 0*g**2 + 0 + 0*g**3 + 1/6*g**4 + 1/15*g**6 + 1/5*g**5. Find r, given that l(r) = 0. -1, 0 Let p(t) = -3*t**2 + 3*t. Let r(b) = 3*b**2 - 3*b. Let u(f) = 4*p(f) + 3*r(f). What is i in u(i) = 0? 0, 1 Let b(d) = -d + 2*d + 1 + 2*d + 2*d**2 - 3*d**2. Let v(i) = i**2 - 4*i - 1. Let j(k) = -4*b(k) - 3*v(k). Solve j(g) = 0. -1, 1 Suppose 0*l + 4*u - 10 = -2*l, -9 = -2*l - 3*u. Factor -2 + 5 - 2*o**2 + 6*o**4 - 4*o**l - 3. 2*o**2*(o - 1)*(3*o + 1) Let s = -2/59 + 109/1475. Let g = 11/25 - s. Determine t so that -6/5*t + g*t**2 + 4/5 = 0. 1, 2 Let d(b) = -b**3 - 11*b**2 + b + 15. Let c be d(-11). Suppose c*z - t - 11 = -0*t, -2*z - t + 7 = 0. Factor 21*j + 14*j**z + 19*j + 10 + 3 + 3 - 52*j**2. 2*(j - 2)**2*(7*j + 2) Let z(c) = 2*c**2 - 8*c + 2. Let t(i) = -i**2 + i + 1. Let r(f) = 6*t(f) + z(f). Let d(w) = -7*w**2 - 3*w + 15. Let s(m) = -6*d(m) + 11*r(m). Factor s(a). -2*(a + 1)**2 Let g be 3/4*(-8)/1503. Let n = g - -446/167. Factor -10/3*d**3 - n*d + 0 + 16/3*d**2 + 2/3*d**4. 2*d*(d - 2)**2*(d - 1)/3 Find d, given that -5*d**3 - 2*d**3 + 15*d**3 - 3*d**3 + 10*d**2 = 0. -2, 0 Let c(l) be the second derivative of -3*l**5/20 - 42*l. Determine t so that c(t) = 0. 0 Let u(h) = 6*h**5 + 9*h**4 + 9*h**3 + 3*h + 3. Let g(d) = 7*d**5 + 9*d**4 + 9*d**3 - d**2 + 4*d + 4. Let m(b) = 3*g(b) - 4*u(b). Factor m(z). -3*z**2*(z + 1)**3 Let u = 9 - 6. Solve -j**3 + 2*j**3 - 6*j**2 + 2*j**u = 0. 0, 2 Let w(k) be the first derivative of 12*k**5/25 - 21*k**4/20 + 2*k**3/5 + 3*k**2/10 - 43. Determine t so that w(t) = 0. -1/4, 0, 1 Let k = -709 - -4965/7. Find h, given that 2/7*h**2 + 0 + k*h = 0. -1, 0 Let y(u) be the first derivative of 1/2*u - 2 + 7/16*u**4 + 4/3*u**3 + 11/8*u**2. Suppose y(s) = 0. What is s? -1, -2/7 Suppose 96/13*q + 2/13*q**3 + 2*q**2 + 72/13 = 0. What is q? -6, -1 Find x such that 16/3 + 10/3*x**3 + 2*x**4 - 40/3*x - 28/3*x**2 = 0. -2, 1/3, 2 Let f be ((-2)/((-8)/(-3)))/((-18)/48). Solve 0 + 1/4*i**f + 0*i + 1/4*i**3 = 0 for i. -1, 0 Find l, given that 3/8*l**5 + 15/8 - 15/4*l**2 + 15/8*l**4 + 3/8*l - 3/4*l**3 = 0. -5, -1, 1 Let p(z) be the first derivative of -5*z**3/9 - 5*z**2/2 - 7. What is m in p(m) = 0? -3, 0 Suppose 0 = -3*g - 2*g + 10. Let -3*j - 2*j + 5*j - g*j**3 = 0. What is j? 0 Let l = -54 + 57. Let j(z) be the third derivative of 0*z**4 + 0*z + 3*z**2 + 1/120*z**6 + 0 - 2/3*z**l + 1/20*z**5. Find h, given that j(h) = 0. -2, 1 Let q(u) be the first derivative of 4*u**3/3 + 14*u**2 + 24*u - 46. Suppose q(r) = 0. Calculate r. -6, -1 Let d = -25 - -27. Factor -2 + 2*t + 4 - 4*t**2 + 2*t**3 - d. 2*t*(t - 1)**2 Factor 2/9 - 2/3*p**2 - 4/9*p + 8/9*p**3 + 8/9*p**4. 2*(p + 1)**2*(2*p - 1)**2/9 Factor -33/4*n - 9/2 - 3*n**2. -3*(n + 2)*(4*n + 3)/4 Let w(s) be the first derivative of 2*s**3 - 4*s**2 + 1 - 8*s + 2/5*s**5 + 2*s**4. Solve w(d) = 0 for d. -2, -1, 1 Let r(s) = s - 9. Let i be r(9). Let m be 12/80 - (-1)/4. Factor 2/5*k**3 - m*k + i + 0*k**2. 2*k*(k - 1)*(k + 1)/5 Let u(d) be the first derivative of -8/15*d**3 + 0*d + 3/5*d**4 - 8/25*d**5 + 1/15*d**6 + 1/5*d**2 - 1. Determine g, given that u(g) = 0. 0, 1 Let p(v) be the third derivative of 1/6*v**3 + 0*v**4 - 1/20*v**5 - 4*v**2 + 0*v + 0 + 1/60*v**6. Find o such that p(o) = 0. -1/2, 1 Factor 2/3*g**2 + 96 + 16*g. 2*(g + 12)**2/3 Let k = -1095 + 14237/13. Factor -8/13*r**2 + 0 + 8/13*r + k*r**3. 2*r*(r - 2)**2/13 Factor -4*t**2 - 3*t + 3*t**4 + 3*t**5 + 3*t**4 - 2*t**2. 3*t*(t - 1)*(t + 1)**3 Let b(t) be the second derivative of -t**6/300 + t**5/150 + t**4/60 - t**3/15 + 3*t**2/2 - t. Let y(r) be the first derivative of b(r). Factor y(l). -2*(l - 1)**2*(l + 1)/5 Let k(s) be the third derivative of s**5/140 - 3*s**4/56 - 19*s**2. Factor k(m). 3*m*(m - 3)/7 Suppose 4*p - 3 + 1 = -2*s, 3*p - 9 = s. Solve -6/7*i**p - 2/7*i**3 + 0*i + 8/7 = 0 for i. -2, 1 Let z(d) be the third derivative of 0*d**3 - 1/70*d**5 + 0*d + 0 - 5*d**2 - 1/42*d**4. Factor z(c). -2*c*(3*c + 2)/7 Suppose 0 = 2*t - 6 - 4. Factor 10*n**4 + t*n - 3 + 24*n**3 + 3 - n + 18*n**2. 2*n*(n + 1)**2*(5*n + 2) Let a(x) = x**2 - 2*x - 1. Let r be a(3). Let b(v) be the first derivative of -2 + 0*v - 1/14*v**4 + 0*v**r + 2/21*v**3. Find l, given that b(l) = 0. 0, 1 Let s(g) be the first derivative of 0*g**3 + 3/20*g**4 - 3/10*g**2 + 0*g + 3. Let s(a) = 0. Calculate a. -1, 0, 1 Let t be ((-18)/(-15))/(8/(-20)). Let q be t/(-2)*12/45. Let 2/5 + 4/5*d + q*d**2 = 0. Calculate d. -1 Let l(b) be the second derivative of -1/108*b**4 + 1/2*b**3 - b + 0 - 1/405*b**6 - 1/108*b**5 + 0*b**2. Let k(n) be the second derivative of l(n). Factor k(p). -2*(p + 1
{ "pile_set_name": "DM Mathematics" }
ast common multiple of 15724 and 27953341? 111813364 Calculate the least common multiple of 3653 and 54344. 198518632 Calculate the lowest common multiple of 10 and 48043948. 240219740 Calculate the common denominator of -7/329472 and -103/20878. 24051456 Calculate the smallest common multiple of 5676 and 252582. 505164 What is the smallest common multiple of 11424 and 2637495? 1434797280 What is the common denominator of 17/60 and -91/7794840? 7794840 Calculate the lowest common multiple of 11 and 125948198. 1385430178 What is the least common multiple of 1292039 and 15504468? 15504468 Calculate the common denominator of 151/225420144 and 73/127404. 676260432 Find the common denominator of 83/20 and 145/139314324. 696571620 What is the least common multiple of 30824234 and 56? 123296936 Calculate the smallest common multiple of 142464096 and 288. 142464096 Calculate the lowest common multiple of 274656 and 10080. 28838880 Calculate the common denominator of -73/5876 and -43/13728. 1551264 What is the lowest common multiple of 287566 and 236? 575132 What is the least common multiple of 84 and 1900032? 13300224 Calculate the common denominator of 37/1292536 and 1/63. 11632824 Calculate the common denominator of 19/321054 and -83/1781190. 130026870 What is the common denominator of 59/225980 and -107/1150? 25987700 Calculate the smallest common multiple of 1473864 and 261492. 16212504 Calculate the lowest common multiple of 718 and 847110. 304112490 Calculate the lowest common multiple of 415072 and 784. 2905504 What is the least common multiple of 9945279 and 148437? 9945279 Find the common denominator of -53/710380 and 64/1243165. 4972660 Calculate the common denominator of 53/6197289 and 55/12394578. 12394578 What is the common denominator of 41/212230 and 91/37776940? 37776940 Calculate the smallest common multiple of 3814964 and 176. 167858416 What is the lowest common multiple of 79790175 and 4770? 159580350 Calculate the least common multiple of 2948488 and 45298. 32433368 What is the smallest common multiple of 1316259 and 413? 77659281 What is the smallest common multiple of 8994969 and 2998323? 8994969 What is the smallest common multiple of 8610525 and 600? 68884200 What is the common denominator of -59/1262 and -95/210754? 210754 Calculate the lowest common multiple of 147706 and 61750. 18463250 Calculate the smallest common multiple of 43680 and 1065744. 969827040 Calculate the common denominator of -67/100233 and 47/117657. 1310346009 What is the common denominator of 38/1019313 and 85/13986? 42811146 What is the least common multiple of 448630 and 6650? 42619850 Calculate the lowest common multiple of 6883056 and 9040. 34415280 What is the common denominator of -87/443330 and 81/3760? 166692080 Find the common denominator of -59/4620 and -29/21593616. 755776560 Calculate the smallest common multiple of 5112330 and 684. 30673980 Find the common denominator of 39/14200 and 127/156200. 156200 What is the lowest common multiple of 13188 and 12939? 56879844 Calculate the least common multiple of 76576 and 51552. 123363936 Calculate the common denominator of -145/27948 and 5/16122. 75096276 What is the least common multiple of 20 and 13405058? 134050580 What is the smallest common multiple of 10470483 and 252639? 94234347 Calculate the common denominator of -89/4746 and -145/637998. 4465986 What is the least common multiple of 3409722 and 22? 37506942 What is the lowest common multiple of 190223316 and 460908? 1331563212 What is the smallest common multiple of 50112 and 292? 3658176 Calculate the common denominator of 151/309960 and 23/313896. 98877240 What is the common denominator of -53/42 and -151/10421950? 31265850 Calculate the common denominator of 97/13644416 and 127/89244. 122799744 What is the common denominator of 79/189876 and 173/78600? 1243687800 Find the common denominator of 73/4928 and -81/429752. 264727232 Find the common denominator of -31/175977 and 80/1947. 114209073 Calculate the least common multiple of 4907322 and 4872. 19629288 What is the common denominator of 59/125248 and -11/35664? 279177792 What is the common denominator of 111/1100 and 14/339447? 373391700 Calculate the lowest common multiple of 3523 and 5075017. 65975221 What is the smallest common multiple of 44239256 and 12820? 221196280 What is the lowest common multiple of 30388680 and 21103250? 759717000 What is the common denominator of -44/76685 and -26/23475? 1150275 What is the smallest common multiple of 7092 and 53781? 645372 What is the smallest common multiple of 139610 and 40752159? 407521590 Calculate the common denominator of -51/1164472 and -89/6986832. 6986832 What is the lowest common multiple of 46138482 and 15379494? 46138482 Calculate the common denominator of 133/483438 and 43/23527316. 70581948 What is the lowest common multiple of 2085540 and 4171080? 4171080 What is the common denominator of -16/293839 and 8/40495? 130758355 Find the common denominator of -56/41871915 and 59/54. 251231490 What is the lowest common multiple of 23573140 and 40? 47146280 What is the lowest common multiple of 440 and 12647120? 139118320 Calculate the lowest common multiple of 1838 and 3175145. 6350290 What is the smallest common multiple of 139606 and 952012? 79016996 What is the common denominator of 97/68572396 and 5/78588? 617151564 Calculate the common denominator of 29/10 and 40/97862499. 978624990 What is the common denominator of -155/1806 and -67/426182? 384842346 Find the common denominator of -121/5190 and 167/188130. 32546490 Calculate the common denominator of -89/506752866 and -17/15414. 3547270062 Calculate the lowest common multiple of 127296 and 3290040. 447445440 Calculate the common denominator of 19/43846 and 49/84370. 168149410 Find the common denominator of 11/590056 and 7/2. 590056 What is the common denominator of 31/231 and -74/62672421? 689396631 Find the common denominator of 37/7763 and -1/13154958. 92084706 Calculate the common denominator of 27/4427563 and -83/8. 35420504 Calculate the common denominator of -62/1702281 and 2/1140363. 117457389 Calculate the lowest common multiple of 366252 and 159252. 211327404 Calculate the common denominator of -17/79234890 and -101/42258608. 633879120 What is the common denominator of -93/1729252 and 20/1359? 15563268 Calculate the least common multiple of 21678344 and 24. 65035032 What is the common denominator of 83/40 and -88/2267055? 18136440 What is the smallest common multiple of 33972 and 5909? 10565292 Calculate the least common multiple of 1563264 and 6372. 4689792 What is the common denominator of -89/33528 and -41/4? 33528 What is the smallest common multiple of 913444 and 1010? 4567220 Find the common denominator of -57/4974463 and 9/1048. 39795704 Calculate the common denominator of -117/3723608 and 117/29854. 40959688 Find the common denominator of -79/4896 and -113/1213056. 20621952 What is the lowest common multiple of 143 and 11714483? 152288279 What is the least common multiple of 179656 and 1212678? 4850712 What is the least common multiple of 1326 and 15979184? 47937552 Find the common denominator of -17/64692 and 65/43344. 77889168 Find the common denominator of -61/350260 and 52/1068293. 21365860 Calculate the common denominator of -25/3826088 and 23/1913044. 3826088 What is the common denominator of -19/45140 and 203/37985310? 75970620 What is the least common multiple of 254313024 and 5196? 254313024 What is the common denominator of 76/7604835 and 38/11950455? 83653185 Calculate the least common multiple of 2152 and 73624. 19804856 Calculate the common denominator of 25/21507528 and 19/1176. 150552696 Calculate the smallest common multiple of 1159370 and 36420. 6956220 What is the smallest common multiple of 6527640 and 30660? 476517720 What is the lowest common multiple of 6804090 and 36? 13608180 Find the common denominator of -47/119054 and 75/79952. 250489616 What is the common denominator of 151/12563376 and -35/17754? 138197136 Calculate the common denominator of -89/144234 and -83/1501102. 40529754 Calculate the lowest common multiple of 2402 and 381918. 381918 Find the common denominator of 79/436672 and 149/1584. 43230528 What is the smallest comm
{ "pile_set_name": "DM Mathematics" }
housands digit of y? 9 Let t = -90 + 106. What is the hundreds digit of -12*(-12)/18*t? 1 Let y = -43266 + 65638. Suppose y = 7*l + 40*l. What is the tens digit of l? 7 Suppose -852 = -12*s + 10*s. Let y = -184 + s. What is the units digit of y? 2 Let p = 119 + -108. Suppose -p*j - 2376 = -0*j. Let q = j - -339. What is the tens digit of q? 2 Let f = -3448 + 10406. What is the units digit of f? 8 Let y be ((-1)/(-2))/(2/52). Suppose -325 = -8*s - y. Suppose 0 = 7*p - 10*p + s. What is the units digit of p? 3 What is the thousands digit of 6548 + ((-9)/(-10) - 1/(-10))? 6 Let k = 12 + -10. Let f(g) = -g**2 + 0 + 6*g**3 + 3*g**3 - 4 + 3*g - 2*g**2. What is the units digit of f(k)? 2 Suppose -r = 7 - 10. Suppose -2*n = -z, z + 4*n - 9 = r. What is the units digit of z/14 - (-5)/7? 1 Let r(f) = 6*f + 15*f - 3*f - 19 + 3*f**2. Let k be r(-11). Suppose -n + 111 = 3*n - 5*u, 5*n + u - k = 0. What is the tens digit of n? 2 Suppose -19*w + 7764 - 28265 = 0. What is the hundreds digit of (w + -1)*(-264)/330? 8 Suppose 3*y = y - h - 11, -2*h - 10 = y. Let s be y + (-6 - -3) + 4 + 0. What is the units digit of (-44)/s*(-1140)/(-80)? 9 Let d = 59 - 57. Let s(b) = -3*b + 8*b**2 - 5*b**2 - 2 + 10*b**2 + 7*b**d. What is the tens digit of s(2)? 7 Let n be (-16)/(-5)*(-4 - (-39)/6). What is the tens digit of ((-73)/(-219))/((n/(-726))/(-4))? 2 Let h be 12/18 + 87/(-9). What is the units digit of (h/18)/((-3)/54)? 9 Suppose -3*p + 14*d = 10*d - 49363, 2*p = -5*d + 32924. What is the tens digit of p? 5 Let q = 201 - 240. What is the tens digit of 394/6 + 65/q? 6 Let w = -3773 + 7993. What is the thousands digit of w? 4 Let m(x) = x**3 - 5*x**2 + 144*x + 31. What is the tens digit of m(15)? 4 Suppose 6*j = 7*j + j. Suppose j = -10*s - 14*s + 14664. What is the hundreds digit of s? 6 Let n(u) = -u - 3. Let z be n(-2). Let l be -4 + 0/(1 + (0 - z)). What is the tens digit of (-29926)/(-117) - l/18? 5 Let i(z) = -4*z + 9. Suppose f = -t - 3 + 9, 4*f - t - 14 = 0. Suppose 15 = -f*m - 33. What is the units digit of i(m)? 7 What is the units digit of 6/7 + (-61181670)/(-1155)? 2 Let j(n) = n**3 - 9*n**2 - 12*n - 25. Let u be j(11). Let b = u - -78. What is the hundreds digit of b? 1 Suppose -3*m = 113 - 128, 4*v - 5*m = 37951. What is the hundreds digit of v? 4 Let b = 1866 + 10399. What is the tens digit of b? 6 Let n be 172*1/8*122. Suppose -n + 8479 = 8*r. What is the units digit of r? 2 Suppose -1445 = 11*v + 2999. Let z = 1343 + v. What is the hundreds digit of z? 9 Suppose -51808 = 29*v - 61*v. Suppose -12*b + 6899 = v. What is the hundreds digit of b? 4 Suppose 0 = -28*a + 210 + 518. Suppose a*m - 13510 = 12*m. What is the tens digit of m? 6 Suppose -12*i = -73833 - 260871. What is the ten thousands digit of i? 2 Suppose -9*g - 129 = -678. Suppose 6*k - g = k - 3*i, 3*i = 5*k - 49. What is the tens digit of k? 1 What is the tens digit of (2 - -189)*((-1391)/107)/((-1)/2)? 6 Let t(x) = 73*x - 45. Suppose 7*d - 19*d + 72 = 0. What is the hundreds digit of t(d)? 3 Suppose 21*k - 18*k = 3*v - 34494, -5*k = 5*v - 57530. What is the units digit of v? 2 Let t be 99/12 - (-9)/12. Let f(w) = 8*w**3 + 15 - 9*w**3 + t*w**2 + 0*w**3. What is the tens digit of f(9)? 1 Let p(w) = 3*w**2 + w - 8. Let n be p(2). Suppose 0 = -n*c + 2*c + 8. Suppose -s + x + 174 - 36 = 0, 4*s - 558 = -c*x. What is the tens digit of s? 3 Suppose -86*l = -95*l + 171. Suppose -4243 = -l*d + 1761. What is the units digit of d? 6 Let q(y) = -17*y + 7. Let k(w) = -188*w + 78. Let p(m) = -6*k(m) + 68*q(m). Let b be p(4). Let o = b + 182. What is the tens digit of o? 7 Let j(d) be the first derivative of 3*d + 11/3*d**3 + 14 + 3*d**2. What is the hundreds digit of j(-4)? 1 Let q = 2145 + 989. What is the thousands digit of q? 3 Let f = 42068 - 29516. What is the hundreds digit of f? 5 Suppose 5*f + 5*u + 3628 = 8*f, -4*u = -5*f + 6025. Let m = f + -577. What is the hundreds digit of m? 6 Let g(z) = 26*z**2 + 91*z - 726. What is the hundreds digit of g(34)? 4 Let r = -26 + 16. Let k = 41 - -64. What is the units digit of k - -1 - (r - -11)? 5 Let y be 2/((-201)/(-66) - 3) + 1. Let p = y + -41. What is the units digit of 10/12*3*p? 0 What is the thousands digit of ((-6)/18)/(13/(-58929))? 1 Let u = 35678 + -20589. What is the thousands digit of u? 5 Let p = 308 + -307. Let a(r) = 589*r**2 - 4*r + 6. What is the hundreds digit of a(p)? 5 Suppose -4*n - 5*l - 25 - 1 = 0, 14 = -n - 5*l. Let b be (-6 + 4)*6 + n. Let d(m) = -2*m + 31. What is the tens digit of d(b)? 6 What is the units digit of (16 - 3) + 4907 + ((-4)/2 - 0)? 8 Suppose 5*g - 6 = q, 4*q - 5*g - 6 = -0*g. Suppose q*p - 1949 - 339 = -4*s, -4*p = 3*s - 1712. What is the units digit of s? 6 Suppose 2*g = -4*i + 16, -2 = -i + 3*g + 2. Suppose -555 = -5*a + 5*w, -2*w + 0*w - 436 = -i*a. What is the tens digit of a? 0 Let m(u) = -2*u**2 + 43*u + 30. Let k be m(24). Let p = -126 - k. What is the tens digit of (-80)/12*p/10? 2 Let j = -10 + 7. Let r = 308 - 309. What is the hundreds digit of (j + r)*1 + 112? 1 Let p be (-3)/(-9) + 202559/21 + 0. Suppose -13*l - l + p = 0. What is the hundreds digit of l? 6 Let n = 2215 - 1431. Let t = 2115 - n. What is the thousands digit of t? 1 Suppose 0 = -2*n - g - 42, 3*n - 8*g = -10*g - 62. Let y(u) = -6*u + 98. What is the tens digit of y(n)? 3 Suppose -95693 = -5*u + 26*v - 24*v, -76551 = -4*u + 5*v. What is the thousands digit of u? 9 Let n(l) = -73*l - 179. Let f be 47/((-3666)/1260) - 4/(-26). What is the hundreds digit of n(f)? 9 Let r(o) = -o**3 - 6*o**2 - 2*o + 15. Let b be r(-5). What is the tens digit of (-1 + -2)*(5868/(-27) + b)? 5 Let q be (-54)/(-15)*(-70)/21. Let m = 15 + q. Suppose 0 = p + g - 95, -m*p = -5*g - 41 - 252. What is the tens digit of p? 9 Suppose 20*y - 321779 - 432181 = 0. What is the ten thousands digit of y? 3 Let f = -316 + -588. Let c = f + 1692. What is the tens digit of c? 8 Let y(a) = -a**2 + 8*a + 9. Let m be y(9). What is the units digit of -2*(-2 - m) - -532? 6 Let y = 13457 - 3946. What is the units digit of y? 1 What is the hundreds digit of (-14 - 9512/(-32))/((-1)/(-20))? 6 Let w(l) = -69*l - 6. Let v(m) = -274*m - 25. Let a(c) = -4*v(c) + 18*w(c). What is the units digit of a(-1)? 8 Suppose 2*g + g - 8289 = 0. Suppose -7*y - 551 + g = 0. What is the units digit of y? 6 What is the tens digit of -10*(133613/(-1855) + 6/14)? 1 Let w = 102532 - 61727. What is the hundreds digit of w? 8 Let w = 25371 + -15484. What is the hundreds digit of w? 8 Suppose -f + t + 2 = -10, -4*f + 3*t = -52. Let g(x) = x**2 - 15*x - 1. Let d be g(f). Let y = 123 - d. What is the units digit of y? 8 Let f = -586 - -590. Suppose -f*z - 211 = -1939. What is the hundreds digit of z? 4 Suppose 352 = -3*x - 443. Let c be (-5)/(x/65 - -4). Suppose -q - c = -2*k, 2*k - 2*q - 61 = 3*q. What is the units digit of k? 3 Suppose 22*c = 19*c + 18. Let r(x) = 3*x - 23. Let d be r(c). Let l(y) = y**3 + 4*y**2 - 8*y - 5. What is the tens digit of l(d)? 1 Suppose 0 = p + p - 84. Let r be -3*1/(-18) + 1589/p. Suppose -5*g + 3*v + 82 + r = 0, -g = v - 16. What is the tens digit of g? 2 Let l(s) = -14*s**2 - 112*s - 46. Let j be l(-21). Let h = j - -5554. What is the tens digit of h? 8 What is the ten thousands digit of 10 + 142961/14 - (-9)/6? 1 Suppose 3*w = 3 + 6. Suppose 0 = -5*r - 5*c + 540, -r = -w*c - c - 103. Suppose -146 = -4*t - 5*d + 73, 2*t + 3*d = r. What is the units digit of t? 1 Let m = 4033 + -4048. Let b(r) = r. Let t(k) = 6*k + 37. Let i(f) = -4*b(f) - t(f). What is the hundreds digit of i(m)? 1 Let h(j) = -j**3 - 8*j**2 - 10*j - 163. Let s be h(-9). What is the tens digit of s/(-14) + (-112375)/(-203)? 5 Let q = -641 + 405. Let y = q - -361. What is the hundreds digit of y? 1 Let q be (-16)/5*(765/(-6) - -10). Suppose 207 = v - 2*w - q, w = v - 579. What is the units digit of v? 5 Let f(p) = 6*p**3 + 9*p**2 + 14*p + 13. Let t(s) = -5*s**3 - 9*s**2 - 14*s - 14. Let g(m) = 2*f(m) + 3*t(m). What is the tens digit of g(-7)? 7 Let l(f) = -f - 36. Let p be l(-27). Let g be 4/(-12)*1 + (-3)/p. What is the tens digit of 10 + -11 - (-150 - g) - -3? 5 Suppose -q - 5731 = -1556. Let f = -2458 - q. What is the thousands digit of f? 1 Suppose -2*f + 4*p + 11675 = -4437, -4*f + 32251 = p. What is the hundr
{ "pile_set_name": "DM Mathematics" }
0. Let a(n) be the third derivative of -1/96*n**4 - 4*n**2 - 1/480*n**6 + 0*n + 1/120*n**5 + 0*n**3 + l. Factor a(r). -r*(r - 1)**2/4 Determine c so that -7/8*c + 0*c**2 - 3/4 + 1/8*c**3 = 0. -2, -1, 3 Let f(i) be the third derivative of -i**5/480 + 5*i**4/64 - 3*i**3/4 + 5*i**2 - 8. Factor f(o). -(o - 12)*(o - 3)/8 Suppose -2*w + 2*b = 2*w - 14, 6*b = w - 20. Factor 1/4 - 9/8*u - 3/8*u**3 + 5/4*u**w. -(u - 2)*(u - 1)*(3*u - 1)/8 Let a(f) be the third derivative of -f**5/60 - f**4/8 + 2*f**3/3 + 8*f**2 + 7. Factor a(w). -(w - 1)*(w + 4) Suppose 0 = 10*v - 12*v + 10. Suppose -2*q + 2 = c + 1, 0 = -v*q - 3*c + 1. Find w, given that -2/3*w + 0*w**q - 3*w**5 + 0 + 1/2*w**4 + 19/6*w**3 = 0. -2/3, 0, 1/2, 1 Let s = -466 + 469. Let p(y) be the second derivative of 0*y**2 + 0*y**3 + 1/3*y**4 - 1/5*y**5 - s*y + 0. Factor p(x). -4*x**2*(x - 1) Find m such that 9*m**4 - 51/7*m**2 - 12/7 - 51/7*m**3 + 9*m - 12/7*m**5 = 0. -1, 1/4, 1, 4 Let d = 82/141 - -4/47. Factor 0*w + 1/3*w**4 + 0 + d*w**3 + 1/3*w**2. w**2*(w + 1)**2/3 Let t be (4/2)/(32/336). Factor 4*d + 0*d**3 + d**3 - t*d**2 + 12*d**2 + 13*d**2. d*(d + 2)**2 Suppose -5*z + 4*k - 79 - 6 = 0, -4*z = 3*k + 99. Let w = z - -29. Factor r**2 + 5*r**2 + 2*r**3 - w + 0*r**2. 2*(r - 1)*(r + 2)**2 Let k(g) be the first derivative of -g**3 - 3*g**2 - 3*g - 50. Determine d so that k(d) = 0. -1 Let x be (-53)/(-5) + (-7)/(-5) + -1. Let m be 3/(12/8*x). Factor 0 + 4/11*n**2 - m*n**3 - 2/11*n. -2*n*(n - 1)**2/11 Let s be (-21)/(-6) - 7/14. Suppose 0 = -6*a + 7*a - s. Suppose 2*g**a - g**3 + 0 - 2 - 3*g = 0. Calculate g. -1, 2 Factor 237*f**3 - 2*f - 8*f**2 - 480*f**3 + 237*f**3. -2*f*(f + 1)*(3*f + 1) Suppose 429 - 453 = -6*z. Let x(l) be the second derivative of 3/20*l**5 + 0 - 9/20*l**6 + 0*l**z + 0*l**2 + 0*l**3 + 5/14*l**7 + 2*l. Factor x(m). 3*m**3*(2*m - 1)*(5*m - 2)/2 Let t(f) be the first derivative of -2*f**5/35 + 4*f**3/21 - 2*f/7 - 335. What is v in t(v) = 0? -1, 1 Let t(y) be the first derivative of y**6/180 - 3*y**5/10 + 27*y**4/4 + 19*y**3/3 + 28. Let f(q) be the third derivative of t(q). Factor f(d). 2*(d - 9)**2 Let a(c) be the third derivative of c**6/360 - c**5/20 + 23*c**4/72 - 5*c**3/6 + 2*c**2 - 261*c. Factor a(p). (p - 5)*(p - 3)*(p - 1)/3 Let a(w) = 27*w**3 - 22*w**2 + 7*w - 96. Let f(l) = -7*l**3 + 6*l**2 - 2*l + 24. Let x(g) = -6*a(g) - 23*f(g). Factor x(u). -(u - 2)*(u + 2)*(u + 6) Suppose 43*n = -p + 39*n + 14, 2*p - 4*n = -8. Factor -16/7 - 4/7*r**3 + 4/7*r + 16/7*r**p. -4*(r - 4)*(r - 1)*(r + 1)/7 Let q(n) = n - 13. Let c be q(5). Let h be ((-12)/14)/(c/28). Factor 3/5*o**h + 9/5*o**2 - 3/5*o**4 + 6/5 - 3*o. -3*(o - 1)**3*(o + 2)/5 Let j(q) be the second derivative of -q**4/24 - q**3/3 + 5*q**2/4 - 17*q. Factor j(o). -(o - 1)*(o + 5)/2 Determine c, given that -22/7*c**3 - 2/7*c**4 - 8/7*c**2 + 0 + 120/7*c = 0. -10, -3, 0, 2 Let q(a) be the third derivative of -a**7/840 + a**6/180 - a**5/120 + 11*a**3/3 - 21*a**2. Let v(h) be the first derivative of q(h). Factor v(l). -l*(l - 1)**2 Let a = 936 - 934. Let -2/15 - 4/15*j - 2/15*j**a = 0. Calculate j. -1 Let r(c) be the second derivative of 8*c**3 - 4*c**2 + 5/2*c**5 - 15/2*c**4 + 10*c + 0. Factor r(q). 2*(q - 1)*(5*q - 2)**2 Determine l so that -3/5*l**4 - 18/5*l**2 - 3*l**3 + 24/5 + 12/5*l = 0. -2, 1 Let w(j) = j**4 - 9*j**3 + 2*j**2 - 6. Let d(q) = q**3 + 1. Let u(b) = b + 15. Let h be u(-9). Let a(p) = h*d(p) + w(p). Factor a(n). n**2*(n - 2)*(n - 1) Factor -2/11*q**3 - 960/11*q + 1600/11 + 84/11*q**2. -2*(q - 20)**2*(q - 2)/11 Suppose 7*j + 5*j - 36 = 0. Solve 31*l**5 - 10 + 10*l**4 + 35*l - 40*l**2 + 3*l**3 + 7*l**j - 36*l**5 = 0 for l. -2, 1 Let g be 2/(-18)*-6*(3 - -3). Let h be g*(6/(-9) + 1). Let 1/3*d**2 - 4/3 - h*d + 1/3*d**3 = 0. Calculate d. -2, -1, 2 Factor 8/21*x**2 + 0 + 8/21*x + 2/21*x**3. 2*x*(x + 2)**2/21 Let 2/7*m**2 + 2 - 16/7*m = 0. Calculate m. 1, 7 Let d be 5*9/72*1. Let z(b) be the third derivative of 1/5*b**5 + 0 + 0*b + 1/40*b**6 + b**3 - b**2 + d*b**4. Factor z(o). 3*(o + 1)**2*(o + 2) Let a(c) be the second derivative of -c**5/330 + c**3/33 + 27*c**2/2 - 10*c. Let b(i) be the first derivative of a(i). Let b(w) = 0. What is w? -1, 1 Let c be 4 + -1 + (-2 - -1). Let u(j) = j + 3*j - 10*j**2 + c + 4. Let y(n) = -9*n**2 + 4*n + 5. Let f(q) = -5*u(q) + 6*y(q). Let f(o) = 0. Calculate o. 0, 1 Let b be (-6)/18 + 57/9 - (7 + -1). Factor -12/11*m**2 + 6/11*m + b + 6/11*m**3. 6*m*(m - 1)**2/11 Let k(d) be the first derivative of d**4 + 8*d**3 + 18*d**2 + 16*d + 42. Solve k(y) = 0. -4, -1 Suppose -4*a + 24 = -3*a. Let -17*z**4 + a*z**3 - 10*z**5 + 18*z**2 - 15*z - 6 + 5*z**4 + z**5 = 0. What is z? -2, -1, -1/3, 1 Let x = 1087/5 + -8681/40. Factor -x*t**2 - 3/4 - 9/8*t. -3*(t + 1)*(t + 2)/8 Solve -1/2*p**4 - 39/2*p**2 + 41/2*p**3 - 41/2*p + 20 = 0. -1, 1, 40 Let r(m) = 11*m**4 - 4*m**3 - 34*m**2. Let d(n) = -10*n**4 + 5*n**3 + 35*n**2. Let c(o) = -6*d(o) - 5*r(o). Factor c(s). 5*s**2*(s - 4)*(s + 2) Let d(z) = -z - 2. Let p be d(-4). Find s, given that -16*s**p - 5 + 36*s**3 + 0*s**2 + 16*s**4 + 8*s**2 - 3 - 36*s = 0. -2, -1, -1/4, 1 Let t = 6836/5 - 1367. Suppose -9/5*q**2 - t*q**4 - 7/5*q - 2/5 - q**3 = 0. What is q? -2, -1 Let c(t) be the second derivative of t**6/27 + 11*t**5/30 + 41*t**4/54 + t**3/9 - 10*t**2/9 - 278*t. Suppose c(z) = 0. Calculate z. -5, -1, 2/5 Let z(l) be the first derivative of -2*l**6/45 - 11*l**5/30 + l**4/2 + 22*l**3/3 + 24. Let r(f) be the third derivative of z(f). Factor r(a). -4*(a + 3)*(4*a - 1) Let a be 7/(-14) - (2 + (-9)/(-2)). Let v = a + 25/3. Factor 5/3*q**2 - v*q**3 + 1/3*q**4 + 0 - 2/3*q. q*(q - 2)*(q - 1)**2/3 Let 11*n - 12 - 37*n + 0*n**3 + n**2 + 2*n**3 + 2*n**4 - 12*n**2 - 3*n**2 = 0. What is n? -2, -1, 3 Let -3/2*o**2 + 0*o + 0 = 0. What is o? 0 Suppose 25/2 + 11*u**3 + 37*u - 1/2*u**4 + 36*u**2 = 0. What is u? -1, 25 Let s = -13001/3 - -4347. Suppose -12*v**2 - s*v - 14/3*v**3 - 2/3*v**4 - 16/3 = 0. Calculate v. -2, -1 Suppose 4*v + d - 163 = 0, -3*v - 5*d + 127 = 26. Suppose -4*c + v = 14. Factor c*i + 2*i**2 + 3*i - 8*i. 2*i*(i + 1) Suppose 3*y - 2*f = -413 + 409, -3*f = 4*y - 23. Factor 1/5*c**y + 49/5 + 14/5*c. (c + 7)**2/5 Let g be -1 - 1 - (-6)/2*1. Let x be 0/(g - (-3 + 2)). Find a such that -1/3*a**2 + 1/3*a + x = 0. 0, 1 Let p(s) = -17*s**2 - 5*s**3 + 60*s - 64*s - s**4 + 13*s**2. Let j(k) = k**3 + k**2 + k. Let g(y) = -4*j(y) - p(y). Let g(f) = 0. What is f? -1, 0 Factor -11*u - 6*u + 33*u - 200 + 49*u - 5*u**2. -5*(u - 8)*(u - 5) Let k(c) be the second derivative of 10*c - 8/5*c**2 + 0 - 1/3*c**4 + 8/5*c**3. Factor k(d). -4*(d - 2)*(5*d - 2)/5 Let a = -87 + 42. Let t be -2*1/8*120/a. Factor t + 2/9*z**2 - 2/9*z**3 + 10/9*z. -2*(z - 3)*(z + 1)**2/9 Factor -9*s**2 + 8*s**3 + 32*s - 10*s**2 + 5*s**2 - 6*s**3 - 24. 2*(s - 3)*(s - 2)**2 What is w in 30/7 + 2/7*w**2 - 32/7*w = 0? 1, 15 Let o(c) = -31*c**2 - 14*c + 8. Let z(a) = 8*a**2 + 3*a - 2. Let k(m) = 2*o(m) + 9*z(m). Determine l, given that k(l) = 0. -2/5, 1/2 Let o(m) = -138*m + 969. Let j be o(7). Let v(z) be the first derivative of -2/15*z**j - 6 - 6/5*z + 4/5*z**2. What is w in v(w) = 0? 1, 3 Suppose 0 = -4*p + 8 + 8. Factor 5*a**2 + 11*a**p - 2*a**4 - 16*a**2 + 2 + 7*a**3 - 7*a. (a - 1)*(a + 1)**2*(9*a - 2) Let w(a) be the second derivative of -a**4/3 - 26*a**3/3 + 64*a + 4. Suppose w(k) = 0. What is k? -13, 0 Let w(m) be the third derivative of -m**7/1260 - m**6/120 + m**5/6 + 43*m**4/24 + 7*m**2 - 1. Let q(k) be the second derivative of w(k). Factor q(f). -2*(f - 2)*(f + 5) Let l(b) be the second derivative of -b**6/90 + b**5/6 - 2*b**4/3 - 2*b**3 - 11*b. Let w(p) be the second derivative of l(p). Factor w(i). -4*(i - 4)*(i - 1) Let j(l) be the second derivative of l**4/12 + 19*l**3/3 + 37*l**2/2 - 179*l. Factor j(f). (f + 1)*(f + 37) Suppose -18 = -2*d + 4*p, -2*d = -d + 6*p + 15. Suppose -8*y + 15 = -1. Factor 1/2*h + 0 + 1/4*h**y - 1/4*h**d. -h*(h - 2)*(h + 1)/4 Let n = -31 + 41. Find d, given that -9*d**4 + 4*d - 2*d + n*d**4 - 2*d**2 - d**2 = 0. -2, 0, 1 Let q(x) be the third derivative of 2/3*x**4 + 0 - 7/30*x**6 - 2/35*x**7 - 36*x**2 + 0*x + 0*x**3 + 0*x**5. Solve q(u) = 0. -2, -1, 0, 2/3 Let x be 165/(-22)*4/(-10). Suppose -x*u - 2*i + 38 = 0, 2*u + 6*i - 2*i = 36. Suppose 2*y**2 - 3*y**4 + u*y
{ "pile_set_name": "DM Mathematics" }
from yqjic. What is prob of picking 1 y and 1 q? 1/10 Four letters picked without replacement from mmmmmbmmmmmmmmmmmmmm. Give prob of picking 4 m. 4/5 Calculate prob of picking 2 c and 2 o when four letters picked without replacement from {q: 6, c: 7, o: 6}. 105/1292 Four letters picked without replacement from wbwhwhhwhhhhyihww. What is prob of picking 2 w, 1 b, and 1 y? 3/476 Two letters picked without replacement from jtjhjvjxxtjvxxm. What is prob of picking 2 t? 1/105 What is prob of picking 4 o when four letters picked without replacement from oooooooyoyoyyyyyyoy? 35/646 What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrrrrrrrvrrv? 35/51 Two letters picked without replacement from {m: 5, l: 3}. Give prob of picking 2 l. 3/28 Four letters picked without replacement from gkcggkgncnctkgggnnng. What is prob of picking 2 c and 2 k? 3/1615 Calculate prob of picking 2 v when two letters picked without replacement from {w: 2, v: 3}. 3/10 Two letters picked without replacement from zrrrzzz. What is prob of picking 2 z? 2/7 Calculate prob of picking 2 a and 2 z when four letters picked without replacement from azzazwwwwwawza. 36/1001 What is prob of picking 1 o and 2 x when three letters picked without replacement from oxuuuuuwuxaawxwwxaaw? 1/190 Calculate prob of picking 2 d and 1 b when three letters picked without replacement from bdbdd. 3/5 Four letters picked without replacement from nnbnmjjmnbbbb. What is prob of picking 3 n and 1 m? 8/715 Three letters picked without replacement from {u: 3, m: 4}. What is prob of picking 2 u and 1 m? 12/35 What is prob of picking 2 t when two letters picked without replacement from bwwsstbwbbtsstbw? 1/40 What is prob of picking 1 z and 1 a when two letters picked without replacement from {t: 1, a: 2, z: 1}? 1/3 What is prob of picking 1 s, 1 l, and 1 v when three letters picked without replacement from {l: 4, s: 12, k: 3, v: 1}? 4/95 What is prob of picking 3 m when three letters picked without replacement from zmmmpmmmmmzpmplmmmb? 220/969 Calculate prob of picking 3 q and 1 o when four letters picked without replacement from {k: 1, q: 3, o: 1}. 1/5 Two letters picked without replacement from sbbb. Give prob of picking 2 b. 1/2 Calculate prob of picking 1 m, 1 y, and 1 l when three letters picked without replacement from {q: 2, y: 1, m: 1, o: 5, l: 3}. 3/220 Two letters picked without replacement from bipiiippiip. What is prob of picking 1 p and 1 i? 24/55 Calculate prob of picking 2 l and 1 r when three letters picked without replacement from {l: 2, g: 4, u: 1, r: 2}. 1/42 What is prob of picking 1 c, 1 r, and 1 g when three letters picked without replacement from mmrmgcmmm? 1/84 Calculate prob of picking 2 v when two letters picked without replacement from {v: 4, d: 15}. 2/57 Calculate prob of picking 3 s when three letters picked without replacement from gssssssgss. 7/15 Two letters picked without replacement from wwvwwwwwwwvwwvwwwwv. Give prob of picking 2 w. 35/57 What is prob of picking 2 k and 1 b when three letters picked without replacement from {f: 4, k: 1, b: 2}? 0 Calculate prob of picking 4 o when four letters picked without replacement from {o: 10, c: 10}. 14/323 What is prob of picking 3 q when three letters picked without replacement from qqqq? 1 What is prob of picking 1 l and 2 z when three letters picked without replacement from {f: 3, a: 1, r: 1, z: 5, x: 1, l: 3}? 15/182 What is prob of picking 1 i, 1 l, and 1 o when three letters picked without replacement from {i: 1, o: 1, l: 1, n: 2, s: 1, h: 2}? 1/56 Calculate prob of picking 2 a and 1 n when three letters picked without replacement from naaaaanaaaanaaaaaa. 105/272 Calculate prob of picking 1 p and 1 x when two letters picked without replacement from xppoxxcpxcwpppppx. 5/17 Calculate prob of picking 1 z, 1 d, and 1 h when three letters picked without replacement from vzvrhvrdhvrhzr. 3/182 Two letters picked without replacement from {a: 2, i: 2, k: 8}. What is prob of picking 1 k and 1 i? 8/33 Calculate prob of picking 3 y when three letters picked without replacement from {n: 7, y: 12}. 220/969 Calculate prob of picking 4 v when four letters picked without replacement from vevveeevvveee. 3/143 Calculate prob of picking 1 a and 2 j when three letters picked without replacement from {a: 1, j: 3}. 3/4 Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {f: 4, p: 2, o: 2, t: 1}. 1/18 Four letters picked without replacement from iiiiiiiiiiiqiii. What is prob of picking 4 i? 11/15 Four letters picked without replacement from {y: 4, f: 16}. What is prob of picking 2 f and 2 y? 48/323 What is prob of picking 2 a when two letters picked without replacement from {a: 2, y: 1, x: 1, c: 2}? 1/15 Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {k: 11, w: 1, a: 2, r: 1, i: 1, d: 3}. 2/171 What is prob of picking 1 f and 1 y when two letters picked without replacement from {f: 1, o: 1, y: 1, e: 1, i: 1}? 1/10 What is prob of picking 2 l when two letters picked without replacement from hlhlllhhlh? 2/9 What is prob of picking 1 r and 1 d when two letters picked without replacement from drbrmmr? 1/7 Calculate prob of picking 1 u and 1 v when two letters picked without replacement from vvuvuvuuvuuuu. 20/39 Two letters picked without replacement from {h: 3, u: 1, l: 1}. Give prob of picking 1 l and 1 h. 3/10 Four letters picked without replacement from {z: 3, o: 1, e: 2, c: 4, v: 4}. What is prob of picking 1 o and 3 z? 1/1001 What is prob of picking 1 h and 2 v when three letters picked without replacement from {v: 6, e: 1, h: 8}? 24/91 Two letters picked without replacement from {d: 3, n: 4}. What is prob of picking 2 n? 2/7 What is prob of picking 1 n and 1 v when two letters picked without replacement from {q: 3, n: 4, v: 2, l: 2, j: 1}? 4/33 Calculate prob of picking 2 e, 1 u, and 1 w when four letters picked without replacement from eueweweeewewewewu. 108/595 Two letters picked without replacement from {x: 9, e: 2}. What is prob of picking 2 e? 1/55 Two letters picked without replacement from ogpxoxxoogpphp. Give prob of picking 1 p and 1 x. 12/91 Calculate prob of picking 1 r and 1 g when two letters picked without replacement from pgxrk. 1/10 What is prob of picking 2 w, 1 f, and 1 k when four letters picked without replacement from {c: 3, k: 6, f: 1, w: 6, o: 1}? 9/238 Four letters picked without replacement from {b: 4, t: 3, m: 1, q: 2, h: 1, g: 1}. Give prob of picking 1 h, 1 q, 1 m, and 1 t. 2/165 Calculate prob of picking 1 b and 1 m when two letters picked without replacement from bbbbbbbmbmbbbbme. 3/10 Four letters picked without replacement from {t: 4, a: 2, r: 2, e: 12}. What is prob of picking 1 r, 1 a, 1 t, and 1 e? 64/1615 Two letters picked without replacement from {a: 2, m: 6, u: 1, s: 9, x: 1}. Give prob of picking 2 u. 0 Two letters picked without replacement from {a: 1, g: 5, h: 6, v: 2, y: 5}. Give prob of picking 2 g. 10/171 Two letters picked without replacement from dnbctttnnbtttnn. What is prob of picking 1 b and 1 c? 2/105 Three letters picked without replacement from {d: 5, s: 3, v: 9, b: 1}. Give prob of picking 2 s and 1 b. 1/272 Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {p: 3, t: 1, a: 2, g: 2, h: 1, u: 3}. 1/33 What is prob of picking 1 h and 1 a when two letters picked without replacement from {h: 1, t: 1, a: 1}? 1/3 Two letters picked without replacement from xxxvvvvxvvvxvv. Give prob of picking 2 v. 36/91 Calculate prob of picking 2 e when two letters picked without replacement from evvvvvvqsvveeqqvvsq. 1/57 Two letters picked without replacement from {f: 13, h: 3}. What is prob of picking 2 h? 1/40 Four letters picked without replacement from {z: 6, w: 8, c: 4, v: 1, f: 1}. Give prob of picking 1 c, 2 w, and 1 v. 112/4845 What is prob of picking 2 n and 1 k when three letters picked without replacement from {n: 2, l: 9, k: 2, z: 3}? 1/280 Calculate prob of picking 2 y and 2 l when four letters picked without replacement from lyllylll. 3/14 Two letters picked without replacement from {k: 5, s: 3, p: 1}. Give prob of picking 2 s. 1/12 Four letters picked wit
{ "pile_set_name": "DM Mathematics" }
Suppose 5*x - 1952 = 3*s, 0*s + 4*s - 1148 = -3*x. What is the tens digit of x? 8 Let v be 32/6 - (-2)/(-6). Suppose 2*s - v - 7 = 0. Let d(m) = m**2 - 5*m + 3. What is the units digit of d(s)? 9 Suppose -50*o = -45*o - 1050. What is the units digit of o? 0 Suppose -11*g + 28419 = -14041. What is the hundreds digit of g? 8 What is the units digit of ((-228)/(-266))/(2/686)? 4 What is the tens digit of 233*((-36)/(-6) - 5)? 3 Suppose -58*l + 54*l = -5*v + 6362, 0 = v - 4*l - 1282. What is the tens digit of v? 7 Suppose -850 = -s + 3*l, s - l - 494 - 366 = 0. Suppose 6*b - s = -133. What is the units digit of b? 2 Let b(c) = 43*c**3 - 2*c + 7. What is the tens digit of b(2)? 4 Let i(v) = 1275*v**2 + 3*v + 3. What is the hundreds digit of i(-1)? 2 Let y = -38 + 28. Let g = y + 16. Suppose -g*v + 188 = -2*v. What is the tens digit of v? 4 Let z(n) = -n**3 - 9*n**2 + 9*n + 9. Suppose 5*j = 20 - 5. Suppose 10*d + 70 = j*d. What is the tens digit of z(d)? 1 Let h(d) = -d**3 + 17*d**2 + 60*d - 1. What is the thousands digit of h(15)? 1 Suppose -3*x - 5*d = -1130, -2*x + d = -426 - 349. What is the hundreds digit of x? 3 Suppose i - 5*l = 29, -l - 40 = -5*i + 3*l. Suppose 2*o - 2*u - 85 - 5 = 0, i*o - 2*u = 174. What is the tens digit of o? 4 Suppose -6*z + 645 = -z. What is the tens digit of ((-6)/(-27))/(-2)*-6*z? 8 What is the units digit of -47 + 45 + 2 + 430? 0 Let k(c) = -c**2 - 12 + 10 + 3 - c. Let o(r) = 2*r**2 - 7*r + 16. Let x(z) = 3*k(z) + o(z). What is the tens digit of x(-8)? 3 Let b = 2919 + -2004. What is the tens digit of b? 1 Suppose 12 = 7*r - 9*r. Suppose 0 = -3*m - m + 4*u - 28, -m - 5*u = 37. Let l = r - m. What is the units digit of l? 6 Let v = 4010 + -1403. What is the thousands digit of v? 2 Let y(v) = -931*v + 4. What is the units digit of y(-1)? 5 Suppose -4*j + 4*d + 0*d + 168 = 0, j = -2*d + 30. Suppose 308 = 5*b + j. What is the tens digit of b? 5 Let x = -39 + 103. Let g be (-5)/((1 - -2)/(-3)). Suppose x = 5*f + 3*m - 39, 25 = f + g*m. What is the units digit of f? 0 Let s = 99 + -57. What is the tens digit of s? 4 Suppose -2*n - 4*g + 29 = 11, -g + 50 = 4*n. What is the units digit of (0 + -12)*(7 - n)? 2 Let l be (-1)/(-3) - 46/(-6). Suppose 6*p - l*p = -152. What is the tens digit of p? 7 Let u(j) = j**3 - j**2 - j - 10. Let z be u(3). Suppose z*l - 480 = -6*a + a, 2*a = -4*l + 386. What is the tens digit of l? 9 Let g = -263 - -399. Let q = g + -132. What is the units digit of q? 4 Suppose -z - a + 516 = -1886, -4*z - 5*a = -9607. What is the thousands digit of z? 2 Suppose 4*y - 3*u + 28 = 0, y - 6 - 6 = -4*u. Let c = y + 135. What is the units digit of c? 1 Suppose 61 - 13 = -4*l. Let h = l + 7. What is the units digit of (10 + h)*5/1? 5 Let s be (160/(-24))/((-4)/6). Suppose -s = -3*h + 2. Suppose -105 = -y - h*y. What is the tens digit of y? 2 Suppose 0 = 22*c - 14*c - 3584. What is the hundreds digit of c? 4 Let k(z) = -1738*z - 10. What is the units digit of k(-1)? 8 Suppose -5*n - 4 = -3*n, 2*l + 2*n - 84 = 0. Suppose o - l = -12. Suppose -w - o = -k, k - 133 = -3*k - w. What is the units digit of k? 3 Let o(p) be the third derivative of 5*p**4/24 - 3*p**3 + p**2. Let d = -5 + 20. What is the units digit of o(d)? 7 Suppose -51*l + 77*l = 39156. What is the units digit of l? 6 Let u = -7 + 11. Let n = u + -1. Suppose n*a - 4*a + 17 = 0. What is the tens digit of a? 1 Suppose 4*a - 8 = 2*x, 0*a = 4*x - 3*a + 6. Suppose 0 = -x*h - h. What is the units digit of 1 - (3 + -26 + h)? 4 Let c(u) be the first derivative of -6*u**2 - 4*u - 4 + 2 - 5 - 2. What is the tens digit of c(-3)? 3 Let j(c) = 1003*c**3 - 2*c + 2. What is the hundreds digit of j(1)? 0 Suppose 23*j + m + 9975 = 28*j, -2*m = 0. What is the hundreds digit of j? 9 Let m(a) = -a**2 - 22*a + 1. Let b be m(-10). Suppose -5*u = -3*q + 204, -5*q - 3*u + 427 - b = 0. What is the units digit of q? 3 Let b(q) = q**3 - 35. Let w be b(0). Let p be 2/(-7) + (-1585)/w. Suppose p = 2*g - 19. What is the tens digit of g? 3 Suppose 2*n + 32 - 112 = 0. Suppose 2*a - o + 56 = 0, -5*a + 2*o + n = 179. What is the tens digit of (-453)/a + 8/36? 1 Let t(w) = -65*w**3 - w**2 - 2*w - 1. Suppose 4*i - 4 = -5*g + 17, g - 4 = -i. Let k be t(i). Let o = k + -43. What is the tens digit of o? 2 Suppose -2*c = 2*r - 58, -23 = -c - r - 2*r. Let k = -26 + c. What is the units digit of k? 6 Suppose -o = 2 - 27. Let z = 5 - -13. Let c = o - z. What is the units digit of c? 7 Let r = 2659 - 1312. What is the units digit of r? 7 Suppose 39 = r - 0. Let x = r + 18. What is the units digit of x? 7 Let d(l) = 4*l**2 - 6*l - 2. Let z be d(6). Let j = z + -37. What is the units digit of j? 9 Suppose -3*k - 2*k + q = -177, -5*k + 4*q + 168 = 0. Suppose -2*i + m + 57 = 0, 0*i + k = i - 3*m. What is the tens digit of i? 2 Suppose 5*a = 5*i + 10*a - 2995, -5*a + 10 = 0. What is the tens digit of i? 9 Suppose -18909 = -9*v - 24*v. What is the hundreds digit of v? 5 Suppose -3*w - w = -5*m - 45, 0 = w - 2*m - 15. Suppose -w = -r - g + 3, g + 4 = 2*r. What is the units digit of r? 4 Let q be (-10)/(-3)*(-45)/(-6). Let u be q*(-1 + 0)/(-1). Let f = 43 - u. What is the tens digit of f? 1 Let v(d) = d**3 - 16*d. Let i be v(4). Suppose i = -16*t + 1839 + 2385. What is the units digit of t? 4 Let s(l) be the second derivative of -4*l**5/5 + l**4/6 + l**3/6 - l**2/2 - 12*l. What is the tens digit of s(-2)? 3 Let b = 9109 - 6089. What is the units digit of b? 0 Suppose -1267*k + 1279*k = 37068. What is the thousands digit of k? 3 Let y be 0 + (0 - 0) - 9. Let k = -47 - -50. What is the tens digit of k - -3*y/(-1)? 3 Let t(j) = 11*j**3 - 2*j**2 - 11*j + 6. What is the units digit of t(4)? 4 Suppose -34*l + 30*l + 256 = 0. Let a(f) = f**3 + 6*f**2 + f - 1. Let j be a(-5). Let c = l - j. What is the units digit of c? 5 Let v(u) = 400*u - 135. What is the thousands digit of v(6)? 2 Let h(k) = 11*k**3 + 2*k**2 - 38*k + 94. What is the hundreds digit of h(3)? 2 Let o = 84 - 58. Suppose -u - 77 = -y, -2*u = -4*y + 274 + o. Suppose -y - 83 = -4*z + a, 5*a = 0. What is the tens digit of z? 3 Suppose -3*u + 2*q = -94, 5*q = 5*u + 3*q - 162. Suppose 349 = 3*j + u. Suppose -5*b + j = -0*b. What is the units digit of b? 1 Let m(u) = 63*u**2 + 2. Let s be m(-4). Suppose 0 = -0*o - 5*o + s. What is the units digit of o? 2 Suppose -2755 = -6*q + 3707. What is the hundreds digit of q? 0 Let y = -123 + 126. Let p(w) = 2*w**3 - 4*w**2 - 4*w + 3. Let c be p(4). Suppose -y*r + c = -3*t, 5*r + 2*t - 76 = 9. What is the tens digit of r? 1 Suppose -2*k + 8 = 0, 6*x + k = x + 644. What is the hundreds digit of x? 1 Let z(g) = -g**3 - 15*g**2 + 16*g + 5. Let y be z(-16). Suppose -2*r + 3*f - 108 = -5*r, -4*r = -y*f - 144. What is the units digit of r? 6 Let y be 3/3*(1 - -3). Let w = y + -16. What is the tens digit of ((-27)/w)/(2/16)? 1 Let t = -123 - -269. What is the units digit of t? 6 Suppose -2*b - 5 = -4*m + 7*m, -5 = -3*b - 2*m. Suppose -2 = -4*h + 3*i + 1, -5*i = b. Suppose h = 6*t - t - 125. What is the tens digit of t? 2 Suppose -x + 3 = -2*k, 3 = -2*k + 4*x - 15. Suppose 4*z - j - k = 59, 50 = 5*z + 5*j. What is the units digit of z? 4 Let k be (-1)/(-2 - (-9)/5). Let o(h) = -2*h + 7*h + 0 - 2*h + k. What is the tens digit of o(6)? 2 Let t(l) = l + 25. Let q = -5 - -7. Suppose -16 = -q*m - 44. What is the tens digit of t(m)? 1 Suppose 12 = -a - a. Let f = a + -6. What is the units digit of (75/f)/(1/(-4))? 5 Let f(g) = 14*g + 10. Let i be f(3). Suppose t - 6 = 5*s, 3*t + 3*s - s = i. What is the tens digit of t? 1 Let a(t) = 10*t**2 + 9*t. Let k be a(-7). Suppose -4*x - 139 = -k. What is the tens digit of x? 7 Let w = 119 - -101. What is the tens digit of w? 2 Suppose 5*a - 7*a + 20 = 0. Let t = a + 9. What is the tens digit of t? 1 Let g(s) = -s**2 + 20*s - 9. Let r be g(19). Suppose d - 94 - r = -4*k, -5*d + k = -499. What is the tens digit of d? 0 Suppose 39*b = 40*b - 1454. What is the tens digit of b? 5 Let w(j) = -j**2 + 5*j + 1. Let d be w(4). Suppose -d*x + 44 = -161. What is the tens digit of x? 4 Let o(m) be the second derivative of m**4/6 - m**3/6 + 29*m**2 + 47*m. What is the units digit of o(0)? 8 Let g be 6/(-1*12/(-20)). Suppose -g*u = -7*u - 6. Suppose u*m - 5*x - 43 = 0, 4*m = x + 77 + 36. What i
{ "pile_set_name": "DM Mathematics" }
p(4). -25 Let k(r) = -14*r + 91. What is k(6)? 7 Let c(q) = q**3 - 12*q**2 + 23*q - 40. Determine c(10). -10 Let n(v) = v**3 - 7*v**2 + 9*v - 5. Determine n(6). 13 Let t(s) = s**2 + 2*s - 35. Determine t(7). 28 Let w(d) = 33*d + 156. Determine w(-5). -9 Let z(c) = -c**2 - 11*c - 9. What is z(-10)? 1 Let r(c) = -7*c + 29. What is r(5)? -6 Let u(w) = -w**3 + 2*w**2 + 2*w - 2. Give u(2). 2 Let n(c) = -c**3 - 9*c**2 - 3*c - 5. What is n(-9)? 22 Let w(j) = -j**2 + 3*j + 2. Give w(3). 2 Let k(t) = 7*t**2 + 2*t + 1. Calculate k(-1). 6 Let a(x) = 6*x - 8. Calculate a(2). 4 Let y(w) = w**3 - 8*w**2 + 13*w + 2. What is y(5)? -8 Let j(g) = g**2 - 12*g + 14. Determine j(3). -13 Let j(t) = -14*t + 64. Give j(5). -6 Let a(j) = j**3 + 8*j**2 - 4*j - 4. Calculate a(-4). 76 Let y(v) = -9*v - 1. What is y(3)? -28 Let w(y) = y**2 + 13*y - 138. Give w(7). 2 Let y(w) = -2*w**2 + 44*w - 9. Calculate y(22). -9 Let b(g) = -g**2 + 18*g + 51. Calculate b(20). 11 Let l(m) = -m**3 + 10*m**2 + 11*m - 12. What is l(11)? -12 Let i(k) = -k**3 - k**2 + 2*k - 45. Determine i(0). -45 Let a(y) = -y**3 - 9*y**2 - 11*y - 15. Calculate a(-8). 9 Let s(u) = -u**2 - 4*u + 47. What is s(-10)? -13 Let m(t) = -t**3 + 6*t**2 + 2*t - 14. Calculate m(6). -2 Let w(p) = -3*p + 10. Determine w(3). 1 Let g(y) = 4*y + 5. Calculate g(-1). 1 Let w(z) = -13*z - 16. Determine w(-7). 75 Let z(g) = -5*g**3 + 2*g**2 - 2*g + 2. What is z(2)? -34 Let j(b) = b**2 + 14*b - 4. Determine j(-12). -28 Let a(l) = 15*l + 6. Calculate a(-5). -69 Let s(w) = 13*w**2 + 4*w - 1. Determine s(-1). 8 Let b(q) = -15*q**3 + 2*q**2 + 3*q + 2. What is b(-1)? 16 Let c(f) = -20*f - 16. What is c(-7)? 124 Let n(t) = t**3 - 3*t**2 - 7. Determine n(3). -7 Let x(h) = -3*h**2 + 32*h - 15. What is x(10)? 5 Let m(n) = n**2 - n - 9. Give m(5). 11 Let i(k) = 4*k + 76. Determine i(-17). 8 Let f(s) = s**2 - 11*s - 31. Give f(13). -5 Let k(r) = -r**2 - 8*r - 13. Determine k(-10). -33 Let c(f) = -f**2 - 15*f - 1. Determine c(-10). 49 Let b(c) = -c - 3. Calculate b(-5). 2 Let x(z) = -z**3 - 5*z**2 - 4*z - 11. What is x(-5)? 9 Let k(m) = 2*m - 7. Calculate k(7). 7 Let t(d) = -d**2 + 43. Determine t(-7). -6 Let o(j) = -136*j + 828. Determine o(6). 12 Let s(l) = -43*l - 735. Determine s(-17). -4 Let b(h) = -2*h**2 + h - 18. Give b(-5). -73 Let d(j) = j**2 - 4*j + 2. Give d(7). 23 Let j(i) = -33*i - 482. Calculate j(-14). -20 Let d(y) = y**2 + 7*y + 6. Determine d(-13). 84 Let f(t) = 35*t**3 + 1. Give f(-1). -34 Let j(q) = -q**2 + 22*q - 62. Calculate j(3). -5 Let n(b) = b**3 - 11*b**2 - 26*b - 10. Give n(13). -10 Let s(x) = 7*x**2 + 7*x + 1. What is s(3)? 85 Let o(c) = -c**2 + 13*c - 9. Calculate o(15). -39 Let h(r) = -r**2 + 69*r + 1. Give h(69). 1 Let u(v) = -v**2 + 18*v + 333. Give u(-11). 14 Let x(v) = -v**3 + 12*v**2 - 10*v - 4. Determine x(11). 7 Let b(m) = -9*m**2 + 34*m - 2. Give b(4). -10 Let l(s) = -s**2 - 10*s - 19. Give l(-10). -19 Let s(v) = -v**2 + 5*v + 11. Determine s(15). -139 Let m(g) = g**3 + 7*g**2 - 2*g + 10. Calculate m(-7). 24 Let t(j) = 10*j**2 - 51*j + 9. Determine t(5). 4 Let q(o) = 2*o**3 + 13*o**2 + 8*o + 5. What is q(-7)? -100 Let b(j) = -j**2 + 6*j + 1. Calculate b(6). 1 Let x(o) = 15*o - 14. Give x(-4). -74 Let o(r) = -4*r**2 - 8*r + 13. What is o(3)? -47 Let q(u) = u**2 - 10*u + 12. Determine q(8). -4 Let b(o) = -o**3 - 13*o**2 - o - 24. Calculate b(-13). -11 Let l(c) = -2*c - 23. What is l(-13)? 3 Let s(h) = 71*h**3 + 2*h**2 - h - 1. Determine s(1). 71 Let v(q) = 2*q**2 - 5*q - 4. Give v(4). 8 Let u(f) = -f**3 + 41*f**2 + 41*f + 46. Determine u(42). 4 Let i(w) = -w**2 - 3*w + 16. Determine i(4). -12 Let x(o) = -o**2 + 5*o + 29. What is x(0)? 29 Let g(y) = y - 9. Determine g(-4). -13 Let h(p) = 24*p + 162. What is h(-7)? -6 Let p(m) = -15*m**2 + 11*m + 10. What is p(-1)? -16 Let y(g) = 11*g - 93. Give y(9). 6 Let t(n) = 2*n**2 - 12*n + 17. Give t(4). 1 Let j(d) = -4*d + 30. Calculate j(7). 2 Let a(v) = 11*v - 73. What is a(5)? -18 Let y(u) = -2*u**3 + 3*u**2 - 5*u + 2. Determine y(2). -12 Let q(f) = 18*f. What is q(-2)? -36 Let n(q) = -q**2 - 4*q - 4. Give n(-3). -1 Let u(s) = 28*s - 162. Calculate u(6). 6 Let i(h) = -h**3 + h**2 - h - 16. Give i(-2). -2 Let h(r) = -18*r - 103. Give h(-6). 5 Let c(r) = r**2 + 8*r. Determine c(-6). -12 Let o(p) = -8*p - 52. Give o(-6). -4 Let v(l) = l**2 - 72*l + 566. Give v(63). -1 Let v(k) = -k - 12. Give v(0). -12 Let h(d) = d**3 + 17*d**2 - 19*d - 22. What is h(-18)? -4 Let c(o) = -26*o + 77. Calculate c(3). -1 Let m(r) = -4*r - 135. What is m(-35)? 5 Let g(j) = j**3 - 23*j**2 + 23*j - 38. Determine g(22). -16 Let m(b) = b**2 - 4*b - 195. Determine m(-12). -3 Let v(q) = -2*q**2 + 19*q - 8. Calculate v(9). 1 Let g(d) = -7*d + 185. Determine g(23). 24 Let t(s) = 16*s + 114. Calculate t(-7). 2 Let q(o) = -6*o + 64. Give q(10). 4 Let j(w) = w**2 - 17*w + 39. Determine j(15). 9 Let j(b) = -b**2 - 5*b - 1. What is j(-4)? 3 Let n(z) = 7*z**2 - 2. What is n(2)? 26 Let g(j) = -13*j + 2. What is g(4)? -50 Let u(a) = -a**2 + 15*a - 48. Give u(12). -12 Let p(h) = -h**2 - 5*h + 6. Calculate p(-3). 12 Let g(o) = -o**2 - 15*o - 6. Calculate g(-14). 8 Let a(q) = -12*q + 6. Calculate a(3). -30 Let l(k) = k**2 - 67*k + 626. Calculate l(56). 10 Let v(j) = -3*j + 8. Determine v(-3). 17 Let f(v) = -v**2 - 14*v - 27. Determine f(-13). -14 Let y(n) = n + 189. Determine y(0). 189 Let l(d) = 6*d + 19. What is l(0)? 19 Let z(m) = 12*m - 24. Determine z(-5). -84 Let y(s) = 15*s - 176. Give y(12). 4 Let j(n) = n**2 + 20*n - 107. What is j(-24)? -11 Let z(f) = -f**2 - 35*f - 93. Determine z(-32). 3 Let r(c) = 2*c**3 + 7*c**2 - 28*c + 9. Calculate r(-6). -3 Let i(m) = -m**3 - 4*m**2 + 13*m. Give i(-6). -6 Let r(w) = w**3 + 12*w**2 + w + 6. Determine r(-12). -6 Let y(q) = q**2 - 10*q + 21. Give y(4). -3 Let m(v) = -v**2 + 8*v - 6. Determine m(3). 9 Let r(t) = t**2 - 7*t + 2. What is r(9)? 20 Let t(b) = -b**3 + 42*b**2 + 185*b - 52. Calculate t(46). -6 Let s(k) = 11*k + 85. Give s(-7). 8 Let u(y) = -y**3 + 11*y**2 - y - 1. Determine u(11). -12 Let b(a) = 4*a**3 - 25*a**2 - 18*a - 17. Determine b(7). 4 Let m(s) = -3*s + 17. Calculate m(6). -1 Let t(u) = u**2 - 37*u - 364. Determine t(-8). -4 Let d(u) = -2*u - 9. What is d(-6)? 3 Let t(i) = 44*i**2 - 2*i + 1. Calculate t(1). 43 Let w(t) = -5*t + 40. What is w(10)? -10 Let j(n) = -10*n - 68. Determine j(-7). 2 Let m(t) = -t**3 + 6*t - 12. Calculate m(-3). -3 Let w(r) = -20*r**2 - 3*r - 3. What is w(-1)? -20 Let n(i) = -6*i**3 - 3*i**2 + 4*i - 3. Give n(1). -8 Let o(f) = -20*f. Determine o(-1). 20 Let y(r) = 60*r + 6. Calculate y(-2). -114 Let z(g) = g - 22. Give z(17). -5 Let v(c) = 18*c**3 + c**2 + 3*c + 2. Determine v(-1). -18 Let f(i) = -47*i + 268. Calculate f(6). -14 Let b(x) = -6*x + 18. What is b(2)? 6 Let a(v) = v**2 + v - 9. Determine a(-7). 33 Let t(q) = q**2 - 3*q. Determine t(4). 4 Let a(w) = w**2 - 9*w - 6. What is a(7)? -20 Let g(s) = s - 16. Calculate g(12). -4 Let h(i) = -2*i. Determine h(3). -6 Let d(l) = l**3 - 12*l**2 - 12*l - 4. Give d(13). 9 Let h(y) = y**3 + 10*y**2 + 11*y + 21. Calculate h(-9). 3 Let n(l) = -8*l**3 - 3*l**2. Determine n(2). -76 Let a(u) = 2*u**2 - 7*u - 2. Determine a(5). 13 Let v(c) = -4*c**2 + 53*c - 3. What is v(13)? 10 Let o(p) = -3*p - 19. Give o(-13). 20 Let d(t) = t**2 + 5*t - 13. What is d(4)? 23 Let t(y) = y**2 + 4*y - 10. Determine t(6). 50 Let i(d) = -d - 10. What is i(-7)? -3 Let s(b) = -b + 13. Determine s(19). -6 Let p(y) = -7*y**2 - 111*y + 13. Determine p(-16). -3 Let v(r) = -9*r + 3. Give v(7). -60 Let u(g) = g**2 + 33*g + 203. Determine u(-23). -27 Let y(t) = -4*t**3 + 4*t - 3. Determine y(1). -3 Let g(b) = -b**3 - 8*b**2 - b + 18. What is g(-7)? -24 Let y(f) = -f - 27. What is y(-21)? -6 Let n(s) = -s**3 + 16*s**2 - 18*s + 24. Give n(15). -21 Let z(n) = -2*n**2 + 9*n + 14. Calculate z(8). -42 Let q(m) = 2*m**3 + 2*m**2 - 22*m + 4. Calculate q(-4). -4 Let o(h) = -3*h**2 - 4*h - 5. What is o(-1)? -4 Let l(t) = t + 19. Give l(-7). 12 Let w(i) = i**3 - i**2 - 2*i + 58. Determine w(0). 58 Let w(l) = -71*l**2 - 8*l - 7. What is w(-1)? -70 Let y(r) = -r**3 + r**2 + r + 1. What is y(2)? -1 Let c(z) = -z - 7. Give c(6). -13 Let f(k) = 7*k - 2. Calculate f(-1). -9 Let z(n) = n**3 - 20*n**2 + n - 6. What i
{ "pile_set_name": "DM Mathematics" }
base 6? -52102 What is 204000 (base 5) in base 14? 2662 Convert 3ed (base 16) to base 15. 470 What is -1142401 (base 5) in base 3? -1002122001 What is -1412 (base 13) in base 8? -5510 Convert -155 (base 9) to base 11. -10a -243442 (base 5) to base 10 -9247 What is -4114 (base 14) in base 12? -6586 -121131 (base 4) to base 2 -11001011101 What is -23a (base 11) in base 5? -2120 Convert 11221 (base 3) to base 14. 97 What is b0d (base 15) in base 14? c9a 9426 (base 10) to base 9 13833 Convert -10010010000000110 (base 2) to base 16. -12406 111001011 (base 2) to base 15 209 What is 165 (base 12) in base 16? dd 902 (base 13) to base 6 11015 3323102 (base 4) to base 14 5c0a -13356 (base 16) to base 7 -445245 Convert 1102201010 (base 3) to base 15. 8563 Convert -278c (base 13) to base 14. -2109 What is 13020 (base 4) in base 11? 385 Convert -8a7 (base 11) to base 12. -765 10001101 (base 2) to base 16 8d Convert -935c (base 16) to base 13. -1422b What is -a5c7 (base 15) in base 9? -53077 107 (base 15) to base 13 14b -11012 (base 4) to base 3 -110002 What is -693 (base 15) in base 13? -8a6 What is 155b1 (base 15) in base 12? 33987 Convert 14530 (base 14) to base 8. 142356 -20126 (base 10) to base 16 -4e9e -20102220 (base 3) to base 2 -1001001010111 What is 6b0 (base 15) in base 5? 22030 -2790 (base 14) to base 8 -15512 Convert -4474 (base 8) to base 12. -1450 Convert 12343 (base 5) to base 8. 1715 What is -143423 (base 5) in base 4? -1133201 -1010010111000 (base 2) to base 15 -1889 Convert 30bd (base 16) to base 7. 51243 113 (base 6) to base 11 41 Convert 14227 (base 9) to base 10. 9664 -3145 (base 6) to base 7 -2036 413 (base 11) to base 3 200110 203143 (base 5) to base 13 3064 Convert 10101100001111 (base 2) to base 10. 11023 -a210 (base 11) to base 14 -4d2b What is 30b3 (base 12) in base 3? 21022000 Convert 515 (base 6) to base 4. 2333 -256 (base 9) to base 16 -d5 Convert 19146 (base 10) to base 3. 222021010 Convert -1020212 (base 3) to base 4. -32102 Convert -1420 (base 5) to base 2. -11101011 2058 (base 14) to base 12 327a What is 5b (base 15) in base 12? 72 What is -ae7e (base 16) in base 11? -3061a -a2 (base 12) to base 5 -442 What is -151 (base 15) in base 12? -211 11725 (base 10) to base 11 889a Convert 1643 (base 12) to base 9. 3556 214 (base 9) to base 6 451 What is -122034 (base 5) in base 13? -2163 What is -22d (base 16) in base 2? -1000101101 What is 1322 (base 7) in base 13? 2cc Convert 3250 (base 6) to base 9. 1023 What is 218 (base 13) in base 2? 101100111 Convert 489 (base 11) to base 2. 1001000101 559 (base 11) to base 2 1010011101 -289 (base 11) to base 7 -663 Convert -22401 (base 5) to base 9. -2168 What is 7380 (base 11) in base 6? 113120 -7416 (base 8) to base 10 -3854 Convert da2 (base 14) to base 8. 5202 -390 (base 14) to base 8 -1312 Convert -5202 (base 15) to base 2. -100001110101111 25cb (base 14) to base 11 4aa3 Convert -1103011 (base 4) to base 3. -21021221 Convert -7048 (base 9) to base 8. -12033 Convert -40001 (base 5) to base 15. -b1b Convert -13231203 (base 4) to base 15. -955c Convert 3a4 (base 12) to base 5. 4211 Convert 325645 (base 7) to base 8. 157661 What is -1412130 (base 5) in base 14? -a824 -536 (base 7) to base 12 -1a8 32120 (base 4) to base 16 398 Convert 13107 (base 8) to base 9. 7736 Convert -3104 (base 5) to base 4. -12110 Convert -3310 (base 10) to base 8. -6356 112 (base 7) to base 15 3d Convert 66b1 (base 14) to base 2. 100010110000011 Convert -2432 (base 10) to base 9. -3302 What is 8a64 (base 11) in base 10? 11928 What is -110101110 (base 2) in base 7? -1153 Convert 110011111 (base 2) to base 9. 511 Convert 10001111 (base 3) to base 4. 202303 What is 21323 (base 5) in base 15? 678 What is 4000 (base 6) in base 14? 45a Convert -2875 (base 10) to base 16. -b3b Convert 61 (base 7) to base 2. 101011 Convert 771 (base 9) to base 16. 277 What is 1008 (base 14) in base 8? 5300 -2054 (base 8) to base 2 -10000101100 -1210 (base 6) to base 9 -356 Convert -7284 (base 10) to base 16. -1c74 -3622 (base 11) to base 16 -1287 Convert -12d2 (base 14) to base 16. -cf8 Convert 5636 (base 8) to base 12. 187a What is -13012112 (base 4) in base 6? -342342 What is 2103112 (base 4) in base 6? 111354 1556b (base 13) to base 11 28460 What is -223311 (base 6) in base 12? -ab37 Convert -1120022 (base 3) to base 2. -10001110110 Convert -1251 (base 7) to base 6. -2113 Convert -13200013 (base 4) to base 14. -b2ab Convert -3e (base 16) to base 5. -222 4c0 (base 15) to base 13 651 Convert 66 (base 10) to base 11. 60 -2173 (base 8) to base 16 -47b What is 6899 (base 12) in base 7? 45633 What is 4d2 (base 15) in base 8? 2111 Convert 660 (base 15) to base 16. 5a0 60610 (base 7) to base 13 6904 Convert 4421 (base 5) to base 16. 263 1110121 (base 3) to base 13 643 Convert -138415 (base 9) to base 15. -1a252 What is 200202 (base 3) in base 16? 1fa Convert 48e (base 16) to base 12. 812 Convert -31104 (base 5) to base 10. -2029 Convert -2011123 (base 4) to base 12. -4b37 Convert -a53 (base 11) to base 7. -3461 112c0 (base 13) to base 14 b564 What is -193 (base 11) in base 8? -337 Convert -16a7 (base 13) to base 4. -310110 What is -10302 (base 8) in base 6? -31510 Convert 3903 (base 10) to base 12. 2313 What is -5b3 (base 13) in base 10? -991 -246 (base 15) to base 9 -633 -7408 (base 10) to base 16 -1cf0 10 (base 14) to base 9 15 Convert 3543 (base 7) to base 16. 519 What is -1876 (base 12) in base 13? -1476 What is -3026 (base 7) in base 2? -10000011001 -2291 (base 15) to base 8 -16250 What is -911 (base 12) in base 6? -10021 Convert b1 (base 12) to base 2. 10000101 Convert -355 (base 10) to base 13. -214 -1102 (base 10) to base 4 -101032 What is 13b2 (base 14) in base 10? 3488 What is -45511 (base 7) in base 5? -332242 -921 (base 15) to base 8 -4010 -1446 (base 12) to base 5 -33413 Convert 16515 (base 10) to base 16. 4083 Convert 2140 (base 6) to base 3. 200020 Convert c3 (base 13) to base 8. 237 Convert -12531 (base 8) to base 13. -2645 Convert 48 (base 12) to base 2. 111000 102011012 (base 3) to base 5 230012 8b6 (base 14) to base 8 3300 Convert -6082 (base 14) to base 11. -11501 Convert 513 (base 12) to base 6. 3223 Convert 614 (base 11) to base 15. 346 What is -337 (base 9) in base 5? -2102 Convert -11270 (base 8) to base 16. -12b8 What is 23da (base 16) in base 10? 9178 What is -22202 (base 5) in base 6? -11104 -1244 (base 7) to base 16 -1d9 What is -16cb (base 16) in base 4? -1123023 Convert 2232131 (base 4) to base 12. 6565 -1588b (base 14) to base 10 -53827 Convert -ac3 (base 13) to base 3. -2112111 86c (base 16) to base 2 100001101100 -697 (base 10) to base 9 -854 Convert -11031 (base 5) to base 10. -766 What is 88211 (base 9) in base 7? 332350 -1433 (base 15) to base 6 -32003 6976 (base 11) to base 6 110222 -1771 (base 16) to base 8 -13561 -3512 (base 6) to base 5 -11321 Convert 117d (base 15) to base 9. 5081 Convert -831 (base 9) to base 3. -221001 22422 (base 9) to base 12 8778 Convert 494 (base 12) to base 16. 2b0 What is 123143 (base 9) in base 14? 1d1dc Convert -101001111001 (base 2) to base 4. -221321 64d (base 14) to base 12 879 What is 15b (base 13) in base 7? 500 What is -4178 (base 9) in base 14? -1192 Convert 40321 (base 6) to base 9. 7244 What is 974 (base 12) in base 4? 111220 Convert -20218 (base 9) to base 3. -200020122 Convert -1374b (base 13) to base 12. -19092 981 (base 11) to base 7 3302 What is 10232 (base 5) in base 4? 22310 -1d3 (base 16) to base 10 -467 Convert 10545 (base 12) to base 11. 15184 -101011110111001 (base 2) to base 8 -53671 229 (base 12) to base 15 166 What is 32484 (base 9) in base 7? 116542 What is -2033 (base 4) in base 15? -98 What is 159 (base 16) in base 15? 180 Convert -25300 (base 12) to base 3. -2120100000 What is -1000110010100 (base 2) in base 7? -16056 What is -14562 (base 7) in base 5? -112222 Convert 602c (base 13) to base 7. 53354 -3766 (base 10) to base 16 -eb6 -434143 (base 5) to base 2 -11101001001011 Convert 31715 (base 8) to base 4. 3033031 Convert -13204 (base 7) to base 12. -2064 614 (base 8) to base 9 480 Convert -12125 (base 6) to base 3. -2102222 Convert -32522 (base 6) to base 9. -6165 What is 44c (base 14) in base 12? 5b0 What is 6153 (base 9) in base 14? 18d9 Con
{ "pile_set_name": "DM Mathematics" }
+ 0.9. Let z = -0.3 - -0.2. Which is bigger: l or z? l Let p(l) = -7*l**2 - 18*l - 25. Let u(c) = -3*c**2 - 9*c - 12. Let v(o) = -2*p(o) + 5*u(o). Let y be v(-7). Is 4 > y? False Suppose -v - 4*c = -11, 4*c + 3 = v - 0*v. Suppose 22 = 3*y + 1. Is v at least as big as y? True Let l = 2031/5 - 402. Do 3 and l have the same value? False Suppose 8 = 38*u - 30. Suppose 0 = -0*d + 3*d + 3. Let l be 48/14*d/(-4). Which is smaller: l or u? l Suppose -13 = -2*s - 5. Suppose -23 - 49 = -s*k. Let y be 2/9 - (-8)/k. Are 1/4 and y equal? False Let h(r) = -r**3 - 9*r**2 + 6*r - 1. Let b be h(-10). Let z be (b/(-21) - -3) + -2. Are -2 and z nonequal? True Suppose -4*q - o = 19, -5*o + 0*o = 15. Let i = -4 - q. Is 0 at most i? True Let n be 1 + 2 + -2 - 0. Let v = 26 + -47. Let l be 1/(-2)*(-14)/v. Which is smaller: l or n? l Let w be (-6)/(36/6) + 2. Which is smaller: w or -0.2? -0.2 Let k be 0/(4 + (-5 - -3)). Which is bigger: k or 2/11? 2/11 Let y be (10 + -4)*(-6 - -1). Which is smaller: y or 0.1? y Suppose 4*a = a. Suppose a = -m - 5*k - 8 + 29, 0 = -2*k + 8. Let v = 13.9 + -14. Is m >= v? True Suppose 0 = -w - 5802 + 1253. Let k = -131903/29 - w. Let a = k + -184/203. Which is bigger: -1 or a? a Let h = -4 + 6. Suppose -2*w + h = -4. Suppose w*x = x. Is 1 not equal to x? True Let x be 0 - (1 + 2)*-1. Suppose -3*o + 5 = -1, -2*u + x*o - 2 = 0. Suppose -s + 5 = -3*d - 2*s, -3*d = 4*s + u. Is -1 not equal to d? True Let d(o) = 3*o**2 - 6*o + 1. Let l be d(2). Is -1/73 bigger than l? False Let s = -75 - -75. Are 2/167 and s equal? False Suppose 0 = -3*o + h + 1, 3*h - 13 = -5*o - 2. Let m = 4 - o. Let b(v) = 3*v**2 + 18*v - 17. Let x be b(-7). Which is greater: x or m? x Suppose -5*g = -2*m - 86, 5*m - 3*m + 3*g + 102 = 0. Let y = -143/3 - m. Is y less than or equal to 0? False Let p be ((-12)/5)/(22/70). Let a = p - -851/110. Which is greater: 0 or a? a Suppose 0*p = p - 1. Let s be ((-80)/(-506))/(0 + -2). Let y = -6/23 - s. Is p < y? False Suppose -3*a - 13 = -4*u - 6, 3*a + 6 = 3*u. Which is smaller: u or 6/13? 6/13 Let s be (20/40)/(26/8). Which is bigger: s or 0? s Let v be 406/(-3)*3/(-12). Let m = v - 34. Is 0 less than or equal to m? False Suppose -3*n = 5*q - 3, -2*n - 5*q - 3 = -0*n. Suppose -h - n*h - 98 = 0. Is h less than -14? False Let m be ((-2)/6)/((-7)/14). Let h(l) = -l - 4. Let p be h(-5). Which is smaller: m or p? m Let m(f) = f - 2. Let d be m(2). Let b(w) = -w - 12. Let c be b(-11). Let j be -1 + c/(-2)*-2. Which is smaller: j or d? j Suppose 0 = 2*t - 4*w - 4, -4*t + 10 = t + 2*w. Let r(j) = -5*j + j + 5*j**2 - 2 - 5*j**t + j**2. Let l be r(4). Which is smaller: l or -3? -3 Let l = -3 + -7. Let p be (2/l)/(231/(-70)). Is p at least -1? True Suppose 0*h + h = 9. Let o = h + -9. Suppose o*b + 12 = 4*b. Which is smaller: 2 or b? 2 Let l = 2.05 - 0.05. Let v = -53 - -213/4. Is l < v? False Suppose 2*v - v - 3*i + 6 = 0, -v - i = -2. Suppose 3*c - 4*c + 2 = v. Suppose y = 3*k + 2*k - 20, -k - y - 2 = 0. Which is smaller: c or k? c Let n = -14 + 9. Let s(w) = -w**2 - 8*w + 4. Let c be s(-9). Is n at most as big as c? True Suppose -5*t + 2*f = 9, -t - 5*f + 3 = -6. Let x = 0 - t. Suppose -5*s - x + 11 = 0. Which is greater: s or 0? s Suppose -6*v + 4*v = -2*s - 10, 5*v - 25 = -3*s. Let u = 40 - 179/5. Which is greater: v or u? v Let r = 131/2 + 219/10. Let c = 87 - r. Which is smaller: c or -3? -3 Let c = 2 - -1. Suppose 2*f = -c*f + 20. Let z = 4 - f. Is z at most 1? True Let o = -19 + 6. Let j = 30 - 33/2. Let p = o + j. Is p > 1? False Suppose 4*n - 3*n = -3. Is n > -6? True Suppose -5*d = 4*q + 1, 0*q + 4 = -q. Is 2/3 at most d? True Suppose s = -s + 8. Let h(r) be the second derivative of r**3/6 - r**2/2 + 5*r. Let l be h(s). Is l not equal to 2? True Suppose 2*x - 5*c = -8, 3*c + 0*c + 4 = -x. Which is smaller: -2 or x? x Let o = 4 - 1. Suppose o*i - r - 14 = 4*r, -48 = -5*i - 4*r. Let x be (-14)/i + (-3)/(-2). Which is smaller: x or -2? -2 Let s be 935/260 - 2/(-13). Which is smaller: s or 4? s Let y = -62 + 308/5. Which is smaller: y or 3? y Let h = -10 - -11. Let u be (2/((-6)/3))/h. Do 7 and u have different values? True Suppose -3*f + 4*j + 15 = 0, 7*j - 2*j = -4*f - 11. Let l = f + -1. Let q be 3/(-9) - (-1)/3. Does q = l? True Let c = -0.43 - -0.03. Let x = 0.7 + c. Is 0.1 less than x? True Let v = 166 + -661/4. Let t = 40 + -38. Which is smaller: v or t? v Let m(f) = f**2 - 5*f - 6. Let c be m(6). Let i be ((-4)/22)/((-14)/28). Is i greater than c? True Suppose -3 = p - 2, p = h - 2. Let r be 3/(h/1) + -8. Suppose y + 16 = -3*k, -3*y - 24 = -0*k + 3*k. Which is smaller: k or r? r Suppose 2*w - 2*c = 16, c + 0 = 3*w - 24. Let h = w + -9. Let a be 12/9 + (-2)/2. Is a less than or equal to h? False Let u(v) = 6*v + 14. Let n(q) = q - 3. Let h(c) = -5*c + 12. Let s(j) = 2*h(j) + 9*n(j). Let w(y) = 11*s(y) + 2*u(y). Let g be w(5). Is g at most as big as 2? True Let c(x) = 2*x**2 + 2*x + 1. Let y = 3 - 4. Let s be c(y). Let v be ((-30)/(-8) - 3)/3. Which is greater: v or s? s Let m(n) = 6*n**2 - 2*n - 1. Let t be m(-1). Let l = -5 + t. Which is smaller: l or 1? 1 Let s = -212 + 2334/11. Suppose -5*d + 25 = -10*d. Let w = d - -4. Is w greater than s? False Let d = 5.8 - 6. Let h = d + 3.2. Let m = 1 + -1. Which is bigger: m or h? h Let l = -41 + 165/4. Let g = -4 - 0. Let s = -5 - g. Is l >= s? True Let z be 14/(-105) - (-1)/5. Let x(n) = n**3 + 8*n**2 + 7*n + 1. Let r = 14 + -21. Let i be x(r). Which is bigger: i or z? i Suppose -3*y = 4*i - 6, i + 2*y + y = 6. Let d(w) = -w - 1. Let s be d(5). Let h be (-2)/(-6) + 4/s. Which is bigger: i or h? i Let c(b) = -85*b - 1. Let u be c(-1). Let l be -2*(-149)/u - 3. Let s = l - 5/6. Is s > -2/3? True Let r be (2/30)/(4/(-10)). Let y = -153 + 152.95. Which is smaller: y or r? r Let t = 5.5 - 5. Let q = t - 0.3. Let j = 0.1 + 0. Is j not equal to q? True Let a be (1/(-8))/(1/(-2)). Which is smaller: a or 0.04? 0.04 Let k(l) = -l**3 - l**2 + 3*l + 2. Let x be k(-2). Let h be 2*3/(-12)*x. Let w = h - 1. Which is bigger: 2/11 or w? 2/11 Suppose 5*a - 5*i = -i + 18, 5*i = 15. Suppose 2 = 2*z - 0. Let m be -6 + 5 + 6*z. Which is smaller: m or a? m Let a(f) = -f**2 - 5*f - 2. Let q be a(-5). Let m be 1*2 - (-3 + 24). Let z be q/(-3) - m/(-33). Is z <= 0? False Let g = 95 - 84. Which is smaller: g or 0.4? 0.4 Let u be 24/42 + 8/(-14). Is u < 2/3? True Suppose 8*c - 4*c = -44. Is c at least as big as -10? False Suppose 2*f = b, -f = -2*f + 3*b - 10. Suppose 2*w = 4*w - f. Is w equal to 3/5? False Let c be (1/((-16)/(-12)))/3. Let x(q) = 2*q - 1. Let m be x(1). Which is smaller: m or c? c Suppose 8 + 4 = 2*n. Suppose 0 = -b - 2*b - n. Which is smaller: b or -3? -3 Let v be (35/10 - 1)*-2. Let c be 11/(-3) + 4/6. Which is greater: v or c? c Let l = 7 + -7.6. Let a = l + 0.4. Let w = a + 0.4. Which is smaller: 0.1 or w? 0.1 Suppose y + 10 = -4*t, 3*y = 4*y - 5*t + 19. Let h be -7 - -8 - (-26)/y. Which is smaller: -2 or h? -2 Suppose 2*f = -5*f - 49. Is -7 <= f? True Suppose 2 + 1 = -3*w. Let j be w/(2 - 4 - -7). Suppose -16 = 4*z, 2*z = 4*a - 0*a - 4. Which is smaller: j or a? a Let a(d) = d**2 - 11*d - 16. Let z be a(12). Which is greater: z or -1? -1 Let r = 112 - 111.9. Let y = 0.15 - -11.85. Is r greater than y? False Let k be (-10)/(-4)*((-540)/(-125) + -4). Suppose 0 + 2 = 2*w. Which is greater: k or w? w Let i = 23 + -23.2. Is 1/4 less than i? False Let v = -0.065 - -0.265. Which is bigger: v or 0.08? v Let y = 90 + -446/5. Which is smaller: y or 1? y Let v = -0.3 - 0.8. Which is smaller: v or 1? v Suppose 10 = 7*t + 3. Are 1/104 and t equal? False Suppose -z + 30 - 168 = 0. Let g = z - -2483/18. Is 0 greater than g? True Suppose 0 = 5*g, g - 89 = 4*b + 31. Which is smaller: b or -31? -31 Let c = 2/40601 + 71701348/365409. Let m be (49/2)/(4/32). Let z = m - c. Which is smaller: 1 or z? z Let x be (3 - 1) + 3*-1. Let o be x/(0 - (-1)/1). Let p be (-5)/3 + 2/3. Is o < p? False Let h be -3 - (-2 - (2 + -3)). Let y = 1 + -4. Is h < y? False Let w = 35 + -246/7. Suppose 5*d = 6*d. Let o = d + 0. Is w > o? False Let a(s) = -s**2 + s + 2. Let f be a(2). Is 1 less than or equal to f? False Suppose -3*h - h + 45 = 5*x, 5*h - 3*x - 10 = 0. Suppose -r - 4 = -2*r. Which is smaller: h or r? r Let g =
{ "pile_set_name": "DM Mathematics" }
*(-3/2)*m)) assuming m is positive. m**(559/420) Simplify ((j*(j**(-2/5)*j)/j*j)**(11/3)/((j/j**(-7))/(j*j**(15/7))))**(7/3) assuming j is positive. j**(106/45) Simplify (((d/d**(-1/3))/(d/d**(-1/3)))/(((d/(d/(d**1*d)))/d)/d**4))/((d**(-1))**(-2))**(-35) assuming d is positive. d**73 Simplify ((x**2*x**0/x*((x**(-5/2)/x)/x)/(x*x**(7/3)))**(-36))**(-5/7) assuming x is positive. x**(-1230/7) Simplify ((j**(-2/5))**48)**(-33/4)/((j**0)**(-37))**(-16) assuming j is positive. j**(792/5) Simplify ((((z**(2/5))**43)**(1/11))**1)**(-48) assuming z is positive. z**(-4128/55) Simplify ((y**(1/2))**12/(y/(y*y*y/(y**6/y))*y/y**(2/5)*y))/((y**6/y)/(y/y**(-2/11))*y*y/((y**(1/5)/y)/y)*y*y*y*y*y**(2/23)) assuming y is positive. y**(-13036/1265) Simplify u/((u/(u**(-1/19)/u*u))/u)*u**(-4/23)*u*u**(2/23)*u*u/u**(-2/31) assuming u is positive. u**(53171/13547) Simplify (c*c*c/(c*c/(c**(-5)/c))*c**(4/7))**(-11/4)/(c/(c**(-9)*c)*c**(-9)/c)**28 assuming c is positive. c**(1125/28) Simplify ((s/(s*s**(-2/3)))**(2/3))**(-13/2)/((s*s*s**(2/7)/s)**(2/73)*s**(2/7)/s*s**(1/3)) assuming s is positive. s**(-11696/4599) Simplify (h/h**(6/11)*(h*h*h*h/(h*h*h*h**(1/2)*h*h*h)*h)/h)**(8/3)*((h**(2/7)*h)/((h/(h/h**(-2)))/h*h))**38 assuming h is positive. h**(9194/77) Simplify ((t**0)**(-2/57))**(5/3)*(t**(-1/3)/t)**(-4)*t**(-2/13)/t**3 assuming t is positive. t**(85/39) Simplify ((j**(1/3))**(9/2))**(-2/23)*((j/(j**(2/11)*j))/(j*j**(-1/2)))/(j**5/(j/(j**(-5/2)/j))) assuming j is positive. j**(-332/253) Simplify (p*p**(-35)/p*p)/p**(2/81)*p**(-44)/p**(-7/3) assuming p is positive. p**(-6131/81) Simplify ((n/n**3*n)**(-18/7))**(-2/31)/((n/n**(5/7))/n*n**14/n)**(22/3) assuming n is positive. n**(-58760/651) Simplify (u**(-5)/(u/((u*u*u/((u*u**(-2/37))/u))/u)*u))**(-38)*(u**(-1/3))**(1/49)*u**(-6/7)/((u/u**(-2))/u*u) assuming u is positive. u**(1001222/5439) Simplify (((z*z**0*z)/z)**23)**30*(z*z/(z/(z**(-1)*z)))**(-2/25)*((z*z**5*z)/z)/z*z*z/(z/(z*z**4/z)) assuming z is positive. z**(17498/25) Simplify (((z/z**(-8))/(z*z/(z*z/z**(-6))*z))/(z**(2/5)/(z**3*z*z)))/(((z**2/z)/z)**39/((z/z**(1/12))/z**(1/5))) assuming z is positive. z**(1159/60) Simplify ((((j**(-3/4))**27)**(6/5))**(3/2))**(-6) assuming j is positive. j**(2187/10) Simplify (((r*r**(2/11)/r)/r**5)/((r/(r*r**(-2/3)))/(r*(r*r/r**(-5))/r)))/((r**6/r)/r**(2/3))**(-6) assuming r is positive. r**(908/33) Simplify ((s*s**(-12))/(s*s**1*s)*(s**4)**46)**(-4/39) assuming s is positive. s**(-680/39) Simplify ((x*((x*x**(1/3))/x)/x)/x)**(-41)/(x**5/x*x*(x**2/x)/x*x)*(x*x**(-1)*x*x*x)**(-6/25)*(x**(-1))**(6/17) assuming x is positive. x**(25832/1275) Simplify (((t**(-6)/t**0)/(t/(t*t/t**(-1/4)))**(3/4))**0)**18 assuming t is positive. 1 Simplify (((p**(2/3)/p)**(-18/5)/(p**8*p**(1/4)*p))**(-48))**(-1/16) assuming p is positive. p**(-483/20) Simplify ((j**(2/3)*j)**(-28)/(j**(-1/2))**(9/2))/((j*j/(j*j/(j*(j**(-1/2)*j)/j)))**(-33)/((j**(3/4)/j)/j**(1/4))) assuming j is positive. j**(-341/12) Simplify (u**(1/5)*(u/((((u*(u*u**(-1/2))/u)/u)/u)/u))/u)**(-27)*(u*((u/u**(-2/7))/u)/u*u*u*u**(4/9))/(u**0/(u*u**(2/3))) assuming u is positive. u**(-43157/630) Simplify (((x/(((x/(x*x**6))/x)/x*x))/x)/(x*x**(-5)*x))**(2/137)/((x*((x*(x**(-1/2)*x*x*x)/x)/x)/x)**(-35))**(-1/6) assuming x is positive. x**(-4715/548) Simplify (x/(x/x**(14/5)))/(x*(x*x/(x**(-10)*x*x*x*x))/x)*x/(x*(x/(x**(1/3)/x*x*x))/x)*x**(-22/3) assuming x is positive. x**(-56/5) Simplify (y/(y*(y*y*y*(y*y*y*y**0)/y)/y)*y)**38*(y**(2/9))**20*y**(-1/17)*y**(1/3)/y*(y/y**(-1))**(-31/2) assuming y is positive. y**(-21616/153) Simplify (((x**(5/2)/x)/x*x)/x**(-3/7))**21*((x/(x/(x*x**1*x))*x)/x)**(-4/7)/(x/((x*x**(-2/7)*x)/x*x)*x)**(-1/21) assuming x is positive. x**(11407/294) Simplify (((r**(-2)/r)/(r/r**6))/(r**0)**(-41))/(((r/r**3)/r*r)/r**1)**(-7) assuming r is positive. r**(-19) Simplify ((i*i/(i*i/i**(-2/91))*i)/(i/((i**(1/4)*i)/i)))/(i**(-2)/i*i)**(-5/8) assuming i is positive. i**(-93/91) Simplify ((m/(m*m**(-2/7)/m))**22)**(-2/9)/(m**(-2/15)*m**(4/7)*(m/(m*m**(-6)))/(m/(m*m**(-1/3)))) assuming m is positive. m**(-1301/105) Simplify ((j**1)**0)**(-47)*(j**(1/4))**(-20)*(j/(j/((j/(j/(j**2/j)*j))/j))*j)/j**(-5) assuming j is positive. 1 Simplify (x**(-1))**(2/11)/(x**(-5)/(x*x**(-1/3)))*(x/x**(1/2))**(-28/9)/(x**(1/11)*x**(3/7)/x) assuming x is positive. x**(3056/693) Simplify ((((p**(-3/2))**6)**(-2/37))**34)**(-10) assuming p is positive. p**(-6120/37) Simplify (l**(2/13)/(l/(l/(l/(l*l/(l/(l/((l/l**4)/l))))))))/(l*l/(l*l**(-2/3)/l))**(-45)*(l*l**1)**48*(l*l**(-2))/(l/(l**6*l)) assuming l is positive. l**(2940/13) Simplify (p**(-8)/(p**(1/5)*p)*(p**2)**(3/5))**(-1) assuming p is positive. p**8 Simplify ((v**(2/5)*v**(-3/2))/((v**2/v)/(v/v**(-1/10))))/((v/v**0)**38*(v/(v/(v**(-2/3)*v)))**(-9/11)) assuming v is positive. v**(-426/11) Simplify ((n*n*n/((n*n**(-12))/n*n)*n*n*n)**(-12/11)/(n**(-2/3)/n*n**(-2/113)))**(-5) assuming n is positive. n**(314375/3729) Simplify (((j/(j**(-1/10)/j)*j**11)**(-5))**(-40))**(-4/7) assuming j is positive. j**(-10480/7) Simplify (x**(-12)/(x*x/((x/(x/x**8))/x*x*x))*(x*x**(-2/15)*x*x)/x*x**(1/4))**(-4/9) assuming x is positive. x**(173/135) Simplify ((s/s**(-2/15))/(s**(-18)*s*s)*s*s**(3/2)*s*s*s**18*s)**(-1) assuming s is positive. s**(-1219/30) Simplify (w*w**0)**7*(w**1)**44*(w**(3/5)/w**(-3))/((w/w**4)/(w*((w*w*w**(-1)*w)/w)/w*w*w)) assuming w is positive. w**(303/5) Simplify (y**(3/5)*y**5)/(((y/y**0)/y)/((y/(y/(y**1*y)))/y))*(y**(-3)*y**(-2/7))**(-5/9) assuming y is positive. y**(2654/315) Simplify ((w**(7/3)*w)**(-25)/(((w/((w**(-2/5)*w)/w))/w)/(w/(w**(-16)*w))))**(1/20) assuming w is positive. w**(-254/75) Simplify (m**2*m*m*m**(15/2)*m*(m/m**(3/16)*m)/(m*m/(m/((m**(-2/7)/m)/m))))**(1/74) assuming m is positive. m**(1747/8288) Simplify (((i/(i/i**27))/i*i)/(i**(-1/33)*i*i*i)*i*i/i**(1/8)*(i**(-27)/i)/i)**(1/43) assuming i is positive. i**(-19/264) Simplify (r**(-1)*r**3/r)**35*(r**(2/7))**(-29)*r**(3/4)*r*r/(r**2/r)*r*r assuming r is positive. r**(853/28) Simplify (b**(-3)/(b*(b/(b/b**5)*b)/b*b))**(-42)/((b/(b**0*b))**5)**(-17) assuming b is positive. b**420 Simplify ((p/(p/p**4))**(-32)/(p**(5/8)*p*p**(-18/7)))**12 assuming p is positive. p**(-21345/14) Simplify (((r*r**(-8/3))/(r/r**(-16/5)))/(((r*r/r**20)/r)/(r**(-2/23)*r)))**1 assuming r is positive. r**(4846/345) Simplify ((n**(8/5)/n*n/(n*n**(2/5)))/((n*n**1)/(n/(n*n*n/(((n*n**14)/n*n)/n)*n))))**(-41) assuming n is positive. n**(-1886/5) Simplify ((g**(1/2)*g)/g**1*(g**(-1/7))**(2/53))**(2/21) assuming g is positive. g**(367/7791) Simplify (b**(-10)*b)**(-1/38)/((b*b/(b**5*b)*b)/(b**(-1/45)/b)) assuming b is positive. b**(3787/1710) Simplify (((y*y**(2/119))**16)**41)**(-2/85) assuming y is positive. y**(-158752/10115) Simplify ((h*h*h/(h*h**5)*h)/h**(-10))**36*((h/h**(1/2))/(h*(h/h**(-1/9))/h))/(h**(1/3)*h**(6/7)) assuming h is positive. h**(36061/126) Simplify ((d**0)**(-10/13))**17/((d**(-6)*d)/(d/d**(-4)))**(2/9) assuming d is positive. d**(20/9) Simplify (v/v**(2/7)*v/(v/v**(-2)))/((v/(v*v*v**6))/v**4)*(v**(1/2)*v**(2/9))**44 assuming v is positive. v**(2614/63) Simplify ((((h/(h**(1/8)*h))/h**2)/((h*h**(2/3)/h)/(h*h**(-2/13))))**(-3/4))**(-30) assuming h is positive. h**(-9105/208) Simplify (((k/(k/k**10))/k**(-1)*(k*k**(-2/17)*k)/k*k**(2/9))**(-38))**(-30) assuming k is positive. k**(703760/51) Simplify ((q*q**(2/13))**(-16)/(q/(q*q**(-2)*q)*q**(2/13)))**10 assuming q is positive. q**(-2550/13) Simplify (l*l**(-1/2)*l**(1/13)*l)/((l*l**(-6))/((l**(-6)*l)/l))*(l/((l/l**0)/l)*l**(-2))**(6/5) assuming l is positive. l**(-81/130) Simplify ((v*v/v**5)/(v/v**6))**(3/2)/((v**(-1/3)*v*v)**(-32)/((v*v**(-6)*v)/(v*(v**3*v)/v*v))) assuming v is positive. v**(142/3) Simplify ((i**1)**(8/3)*(i**0)**49)/(((i**(3/5)/i)/(i*i*i/(i**(-2/21)/i)*i))/((i*i**(2/7))/i)**(-2/57)) assuming i is positive. i**(5421/665) Simplify ((((p/((p/(p**(-3/8)*p))/p))/p**5)/(p*p**(-2/9)*p**(-8)))**34)**(2/149) assuming p is positive. p**(4709/2682) Simplify (d**(-18)*d/d**(-9/2)*(d/(d/(d**18/d))*d)**(-4))**(-12) assuming d is positive. d**1014 Simplify ((c**(2/37)/(c**(21/5)/c))/((c/c**13*c)/c*c/(c*c**9/c*c*c*c)))**(25/2) assuming c is positive. c**(18365/74) Simplify ((m**(-26))**(-1/3)*(m**2)**(-2/35))**(-11
{ "pile_set_name": "DM Mathematics" }
.3 Let w = 0.0026 + 0.1974. Which is the nearest to 0.03? (a) -3 (b) 5 (c) w (d) -0.5 c Let j = 148.4154 - 148.5. What is the nearest to 1 in -1, 1/3, j? 1/3 Let f be ((-14)/20)/(2/568). Let b = -198 - f. What is the closest to 1 in 2, b, -0.2? b Let m = 860.7 - 861. Let i = -0.1 - -0.1. Let n = i - -0.2. What is the closest to n in 0, 5, m? 0 Suppose 5*w = -25, 25*q - 22*q = w + 29. Let u = 3.4 - 3. Which is the closest to 0.1? (a) q (b) u (c) 0.5 b Let s = -9/23 - -127/207. Let g be 40/(-2)*(-27)/(-18). Let j be (-12)/g + (-63)/120. What is the closest to 0 in s, -1/2, j? j Let v = -1766/187 - -159/17. Let q = -35/4 - -9. What is the nearest to 1/2 in -0.5, q, v? q Let q be (-5 + -1)/((-21)/14). Suppose 0 = q*h + z - 7, -3*h + 5*z + 9 = -h. Let m = h - -3. Which is the closest to 0? (a) m (b) 0.1 (c) -2 b Let l = 0.64 + -44.64. Let z = l + 44.4. What is the closest to 0 in z, 0, 4? 0 Let w = 96/5 - 19. Let u = 0.04 - 0.04. Let c = -3/127 - -293/1651. What is the nearest to 0 in w, c, u? u Let n = -2 + -4. Let z be (-20)/(-40) - n/(-28). Which is the closest to 2/3? (a) z (b) -2 (c) 0.06 a Let q = 0.033 - 54.033. Let x = 62 + q. Which is the nearest to x? (a) 2/3 (b) 4 (c) -4 b Let l = 684 - 687. Let b = -3.4 + 3. What is the closest to b in 2/23, 0.5, l? 2/23 Let s = -365/3576 - -9/149. What is the nearest to 1 in 0.03, s, 0? 0.03 Let p = -930.7 + 931. Which is the closest to -14? (a) 0.2 (b) 2 (c) p a Let u = 0.136 - 0.136. Let w = 5.94 + -6. Let g = -2.94 + w. What is the nearest to 0 in g, u, 3/5? u Let p = 61/5 - 803/65. What is the nearest to 0 in -4/5, p, 3? p Let x = -19 + 33. Suppose x*z = 10*z. Suppose z*a = -5*a + 4*r - 5, 5*r = a + 1. What is the closest to -2 in 4, a, 5? a Let s = 7562/7 - 1080. Which is the closest to 0.44? (a) 1 (b) s (c) -0.2 b Let b = -0.8 + -1.2. Let c = -0.07 - -0.27. Let i = -4.2 + c. What is the nearest to b in i, 5, -0.5? -0.5 Let v = 90 + -90. Which is the closest to v? (a) -7/6 (b) 0.2 (c) 2 b Let p = -18.28 + 18.18. Which is the closest to 0.03? (a) p (b) -0.4 (c) 2 a Let l = 1.8 - 2.1. Let k(j) = 3*j + 22. Let z be k(-7). What is the closest to z in -1/4, l, -5? -1/4 Let j = 280.8 + -281. Which is the nearest to j? (a) -0.9 (b) 0 (c) 3 b Suppose -6 = -2*z - z. Let n be z/(-21)*(-7)/24. Let a = 77/180 - n. What is the closest to -2 in a, 1/3, 2? 1/3 Let l = -0.1997 - 1.8003. What is the closest to -26 in l, -1/8, 0.5, 2? l Let s = -82 + 97. Let m = 19 - s. What is the closest to -0.2 in -1, -4/5, m? -4/5 Let h = 1724 - 1724.4. Which is the closest to -0.1? (a) -0.04 (b) h (c) 2 a Let k = 1.9954 + 0.0046. Let c = 0 - -0.1. Let y = 0.2 - c. What is the closest to y in k, -0.1, 4? -0.1 Let k = 83.1 - 83.2. What is the closest to -1 in 8, k, -2, 4/5? k Let n = -0.05 - -0.014. Let o = n + 5.036. Which is the closest to -1/6? (a) o (b) 0.4 (c) -0.1 c Let g = -1.1 - -1. Let j = g - -0.6. Let k = -1134 + 1133.8. Which is the nearest to k? (a) j (b) 3/5 (c) 2/11 c Let a = -11.3 + 11.2. What is the closest to -1/4 in a, -5, 5? a Let p be ((-6)/(-735) + 0)/(3/(-15)). What is the nearest to p in 3, -0.5, -1, -4? -0.5 Let g = -4.01 - -0.01. Let q = -28 - -46. Suppose -4*d + 2*o + q = 0, d - 5*o + o = 8. Which is the closest to 2/5? (a) -0.3 (b) d (c) g a Let x(n) = -n**3 + 26*n**2 - 19*n - 114. Let t be x(25). What is the nearest to -1 in -4/7, -4, t, 5? -4/7 Suppose z + 7 = 8*n - 11*n, -2*n = 3*z - 7. Let q = 15 - 14. Which is the closest to -1? (a) -0.4 (b) n (c) q a Suppose 0*v + 3*v = -9. Let t = 19/105 - 7/15. Let j = 1.605 + -5.605. Which is the closest to t? (a) v (b) 0 (c) j b Let t = 0.162 + -0.662. Which is the nearest to 2? (a) -2/13 (b) -4 (c) t (d) -0.1 d Suppose 2*x = 196 - 172. Let t = x + -13. Which is the nearest to 10? (a) t (b) 2/3 (c) -5 b Let g = -4.809 + -0.091. Let l = -5 - g. Let s = -1.07 + 0.07. Which is the closest to l? (a) 0.4 (b) -1/4 (c) s b Let z = 97.9 + -94. Let o = z + -3.6. Which is the closest to -3? (a) o (b) 4 (c) 0 c Let h = 3 + -2. Let q be 3/1 + 1 + -2. Which is the nearest to 1? (a) 6 (b) q (c) h c Let c(z) = -z**2 + 7*z - 5. Let x be c(6). Suppose -r + 5*s + 15 = 4*r, 5*r - 15 = -5*s. Let y = -5475.5 + 5475. What is the nearest to 1 in y, r, x? x Suppose 15*v = 12*v. What is the nearest to v in -2, 0.3, -13? 0.3 Let k = 580 + -576. What is the nearest to 2/5 in -51, 5, k, 3? 3 Let y be ((1 - 3) + 0)/(122 + -119). What is the nearest to -6 in -3, -0.1, y, 0.2? -3 Suppose 107*p + 76 = 88*p. Let x be 10/4*(-2)/(-20). What is the closest to -3/5 in 1/5, p, x? 1/5 Let f = 0.916 + -1.016. What is the closest to f in -0.5, -7.2, -2/3, 3? -0.5 Let v = 0.312 + -0.212. What is the closest to v in 3/4, -8, -0.2? -0.2 Suppose 0 = -t + 4*f + 5, 5*t + 3*f + 18 = 20. Let r = -2 - -2.1. Which is the closest to t? (a) 3 (b) 2 (c) r c Let p(k) = -13*k - 233. Let t be p(-18). Which is the nearest to -0.09? (a) -0.7 (b) t (c) -3 a Let v = -70 - -58. Let q = -16 - v. Suppose 3*p + p = 0. Which is the nearest to 0? (a) p (b) 0.2 (c) q a Let l = 30.9 - 30.6. What is the closest to -1 in 4, -3, 3, l? l Let s be (-55)/175 - 6/21. Suppose -3*h + 481 - 163 = -5*l, 4*h + 82 = -l. Let d = l - -196/3. Which is the nearest to 0? (a) s (b) 1 (c) d a Let t = 9 + -13. Suppose -3 = 4*y - g, 4*y + 5*g = 10 + 5. Let r = -303 - -603/2. What is the nearest to y in 5, r, t? r Let j be 1*(2 - 9/6)*-10. Which is the closest to 1.1? (a) 5 (b) j (c) 2/3 c Let p = 1.2 - 1.7. Let j = 180 - 183. What is the closest to p in j, 3/7, 0.4? 0.4 Let h = -2.12 - -2.32. Let g be (45/21 - 2) + -1. What is the closest to -7 in g, h, 2/9? g Let f = -2.394 - 0.606. What is the closest to 2/85 in f, -0.5, 0? 0 Let p = 33.5 - 34. What is the nearest to 0.1 in p, 2/7, 13, -8/3? 2/7 Let n be (8/(-10))/(12/20*1). Let z = 233 - 1628/7. What is the nearest to 0.3 in z, -0.2, n? z Let q = -3 - -4. Let z = 1.4 - q. Let t = 0.5 - -3.5. What is the closest to -1 in z, t, -2? -2 Let x = 19 + -20. Let h = 0.3 + 0.1. Let t = 0.5 - h. What is the closest to x in t, 3/5, 0.5? t Suppose -2*w - 5*q - 29 = 0, 9*q - 14 = 2*w + 11*q. What is the nearest to -0.1 in -0.3, w, 1, 13? -0.3 Let z be 4/((-32)/123)*4/(-3). Let n = 20 - z. Which is the closest to -3? (a) 4 (b) n (c) 5 b Let o = -0.6 + 1.1. Let r be 147*(15/20)/(-3). Let q = r - -37. Which is the nearest to 0.1? (a) o (b) q (c) -5 b Let s = -4/5 + 2/5. Let a = -147.22 + 146. Let d = a - -1.32. What is the closest to -1 in 9, d, s? s Let n = -126 + 126. Which is the nearest to n? (a) -5 (b) 0.9 (c) 2/3 c Let x = -7/4 - -53/28. Which is the closest to -1/2? (a) x (b) -2/7 (c) -0.4 c Let v = -1281 + 1283. Which is the closest to v? (a) -107 (b) 0.5 (c) -4 b Suppose -4*n - 27 + 15 = -5*q, -5*n - 15 = 4*q. Let i = 4 - -7. Which is the nearest to -2/3? (a) q (b) i (c) 0.4 a Suppose -17*f + 60 = 3*f. Suppose w + 4 = -1. Let v = w - -37/7. Which is the nearest to v? (a) 1 (b) 0 (c) f b Let o = 1724/1029 + -3/343. What is the closest to -0.07 in 0.5, o, -1? 0.5 Let s be ((-48)/(-64))/(0 - 45/40). Which is the closest to -2/5? (a) -3 (b) 5 (c) s (d) -5 c Let n = -2.8 + 3. Let h = 2 - 44. Let y = h + 41.5. What is the closest to n in y, -1, -2/7? -2/7 Let q = -7 + 10. Suppose 10 = 23*o - 28*o. Which is the nearest to -3? (a) q (b) o (c) 0.3 b Let j = 739/3 + -2959/12. Let u(q) = q**2 - 2. Let m be u(-2). What is the closest to m in j, 3, 4? 3 Let l = 57/2 + -29. Let b = -0.05338 + -0.84662. What is the nearest to b in 1, 3, l? l Let p be (-5)/4*(16/8)/10. What is the closest to p in -0.3, -1/8, 14? -0.3 Let u = 0.78 - 0.68. Suppose 0 = -5*d - 4*z + 31, -5*d - 3*z + 18 = -3*d. Let x be ((-3)/9)/(2/6). Which is the nearest to u? (a) x (b) -5 (c) d a Suppose 0 = 4*b + 3*h - 33, 4*b + 5*h = 31. Suppose 0*o = 4*o + t + 9, -4*t + b = o. What is the closest to -4 in 3, -4, o? -4 Suppose 2*q - 24 = 4*q + 4*x, 4*q + 3*x + 23 = 0. Let p be 4/22 + q/11. Suppose -4*z + 9 + 3 = 0. Which is the nearest to p? (a) -1/7 (b) z (c) -5 a Let y = -26 - -24. Let m be 0 - 4/y - (-16)/(-10). Which is the nearest to m? (a) 2 (b) 0.5 (c) 0 b Let k = -282 - -281.9. What is the closest to -0.2 in 17, k, 4? k Su
{ "pile_set_name": "DM Mathematics" }
-2)/(-39))/(60/1564110). 5348 Find the common denominator of 43/44 and (2/(-10))/(((-121056)/299)/24). 21340 Let w = -13/177 - 5657/9735. Let i = w + 1591/330. Calculate the common denominator of i and 47/6. 6 Suppose -67*l + 9715 = 73*l + 5*l. What is the lowest common multiple of (-6)/7*(-1 - 6) and l? 402 Let f = -26/1407 + -82883/7035. Let l = -649778621/303990 - 2/151995. Let n = -2088 - l. Find the common denominator of n and f. 10 Let o be 6/12 - ((-46290)/4 - -1). Let c = o - 486079/42. Find the common denominator of -115/12 and c. 84 Let z be (-6)/10 + ((-1978662)/3080 - -3). Let l = z - -640. Calculate the common denominator of -91/12 and l. 132 Let y = -643 + 1317/2. What is the common denominator of y and (-1)/(-32 - 4)*28122/(-860)? 120 Let b be (-1 + 17290/(-20))*(-12758)/(-579). Let u = 19071 + b. Calculate the common denominator of 10/7 and u. 1351 Let g = 61 + -22. Let c = g - 28. Calculate the lowest common multiple of c and -14*9/(-882)*7. 11 Let s(p) = -p. Let f be s(-9). Let u = f - -10. Suppose -3*c + 3*l + 3 = 0, u = -c + 9*l - 4*l. What is the smallest common multiple of c and 20? 60 Let i = 18119/7596 + 3/844. Let t = 36470495/318 - 114687. What is the common denominator of i and t? 954 Let v = -1907011/490 + 3892. Find the common denominator of v and -54/35. 490 Let q = -64739854/621 + 104251. Calculate the common denominator of q and 16. 621 Suppose 78*n - 74*n - 820 = 0. Let t = 215 - n. Let u = 19 - 11. Calculate the least common multiple of t and u. 40 Let d = -7401 - -14569. Let u be 2/(-8) - (-630942)/(-88). Let w = u + d. Calculate the common denominator of 27/22 and w. 22 Let r = 2269 + -1337. Let l = -921 + r. What is the smallest common multiple of l and -1*7/2*-2? 77 Let r be 4*3/(-6) + (1 - -4). Suppose -2*t + 629 = 4*d - 705, 0 = -r*d - 5*t + 990. Calculate the lowest common multiple of 9 and d. 3015 What is the common denominator of (-4)/(-168)*170/(-230) and -87/76? 36708 What is the smallest common multiple of (-4)/(-6)*6 + 2 and (-181 + 187)*(1 + 0 + 2)? 18 Find the common denominator of 174/957 + 52/(-1584)*1 and 71/6732. 6732 Let t = -159808/37845 + 2/4205. What is the common denominator of 16/(((-222)/4)/(-3)) and t? 333 Find the common denominator of -45/152 and ((-5)/4)/5 - -388*19/608. 152 Suppose 79*t + 94*t - 35*t - 27324 = 0. Calculate the lowest common multiple of 242 and t. 2178 Let n be (-8)/(-4) + -2 + 6. What is the common denominator of (-522)/(-1320) - n/8 and 67/99? 990 Let u(n) = -7*n + 11*n + 3 - 11 - 5. What is the smallest common multiple of 33 and u(6)? 33 Suppose -5*l = 5*r + 230, 3*r + 95 = r - l. Let b = r + 55. Let w = -27 + 51. What is the lowest common multiple of b and w? 24 Let s be ((-8)/6)/((-2)/(-6)). Let p be s/(-10) - 1854/(-15). Let r = p - 97. Calculate the smallest common multiple of 12 and r. 108 Suppose -15 - 55 = -5*d. Let f(j) = -j**3 - 15*j**2 + 5*j - 18. Let z be f(-15). Let x = z + 107. What is the lowest common multiple of d and x? 14 Let j be (-1)/((-16)/202) - (-6)/16. Suppose -j*x + 106 = -89. Calculate the lowest common multiple of 3 and x. 15 Let y = -5056 - -5086. Calculate the smallest common multiple of (-1)/(-2) - (-46)/4 and y. 60 Let s(u) = 2*u**2 - 3*u - 1. Let b(f) be the second derivative of f**4/12 - 3*f**3/2 - f**2/2 + 69*f. What is the smallest common multiple of b(-2) and s(3)? 168 Let t(u) = 4*u**2 + 2*u. Let s(d) = -d**3 - 2*d**2 - 3*d - 3. Let a be s(-2). Let i be t(a). What is the common denominator of 83/4 and (-8)/i*9*3? 28 What is the common denominator of (-256)/30 + (13 - 10) and ((-32)/112)/(90/(-644))? 45 What is the common denominator of -133/144 and 23/(-46) + 900/2624? 5904 Let g be 66/((-220)/10) - (-68 + (3 - 2)). Let i be (-2)/(-4) - (-81)/(-2). Let z = g + i. What is the smallest common multiple of z and 8? 24 Let k = 9694 + -1492863/154. Let u = 697/2002 - k. What is the common denominator of 145/78 and u? 546 Let c = 553 - 289. Let i = 277 - c. What is the lowest common multiple of 130 and i? 130 Suppose -2*c + 3*l = 364, -4*c - 2*l + 0*l - 744 = 0. Calculate the common denominator of -41/44 and (-3 - 2)/(-15) - c/(-24). 88 What is the common denominator of (9/(-738))/((-125)/50) and -7/4? 820 Suppose 4*s - 6*p - 252 = -7*p, 0 = 3*p. What is the lowest common multiple of s and 111? 2331 Let l be (-3)/(-9)*1 + 13664/21. Let w = 1661 - l. Calculate the smallest common multiple of 8 and w. 4040 Let q = -284861/14 - -20339. Let b = -194 + 128. What is the common denominator of q and 3/(234/(-301)) - b/(-198)? 182 Let u be (6 - 248/(-36))/((-21362)/(-3444)). Let h = u + 42/971. Find the common denominator of h and -4/3. 33 Suppose 11*f - 10 = 6*f. Calculate the common denominator of ((-36)/(-135))/(f/80) and 1/10. 30 Suppose 2*q - 21 + 3 = 0. Suppose 4*r - 32 = -4*x, r - 2*x - 17 = -q. Calculate the smallest common multiple of r and 127. 1016 Suppose 3*w = 5*d + 3375, 1135 = -12*w + 13*w - 5*d. Calculate the lowest common multiple of 245 and w. 7840 Suppose -4*k = 3*r - 436, -5*k + 5*r + 174 = -406. What is the common denominator of ((-23)/(-9))/(3/6) and 4/k - 12/(-24)? 252 Let w = 629 - 599. Suppose 10*p - 45 = 9*p. What is the lowest common multiple of p and w? 90 Suppose 5*w + 659 = -206. Let h(x) = x**3 + 13*x**2 - 16*x - 34. Let o be h(-14). Calculate the common denominator of 26/5 and w/(-20) - o/10. 20 Suppose -18*n + 20 = -14*n. Suppose -2*t = 5*z - 6, -10*t + 30 = -5*t + n*z. Calculate the smallest common multiple of t and (6/2)/((-1)/(-34)). 408 Let z be 4/14*-2267*(-49 - -50). Let l = 498789/770 + z. Find the common denominator of l and 49/2. 110 What is the common denominator of -53/75 and (0 + 411/6)/(-315)? 3150 Find the common denominator of 101/10 and (11590/1100 + -14)/3. 110 Suppose 876*t - 79920 = 831*t. What is the least common multiple of 8880 and t? 8880 Suppose -4*v = 381 - 1245. Suppose -6*z = -4*z + v. What is the common denominator of -73/27 and (-4)/(-10)*(-2 - 291/z)? 54 Let u(z) = 9*z - 15. Let n be u(3). What is the common denominator of (238/21)/(n/(-15)) and -95/36? 36 Let x(p) = -2*p - 19. Suppose 0*v = v - 2. Suppose 7*q = v*q + 20. Calculate the smallest common multiple of q and x(-12). 20 Let w = -2/3407 - -3533/214641. Calculate the common denominator of w and 18/1015. 9135 Suppose 22*h - 329 - 265 = 0. Suppose -9*b - h*b + 4464 = 0. What is the smallest common multiple of 10 and b? 620 Calculate the common denominator of -67/320 and (-4)/(-120)*(4 + 540/(-16)). 960 Let l(f) = 2*f**3 + 17*f**2 + 17*f + 8. Suppose 0 = 2*d + 3*b - 6*b + 26, 0 = -2*d + b - 18. Calculate the lowest common multiple of 64 and l(d). 576 Let i = -625 + 7519/12. Calculate the common denominator of -5/21 and i. 84 What is the common denominator of (5 - (-47)/(-5)) + (6 - (1 - -3)) and 20/105*12/10? 35 Let j = -92299/8 + 11550. Calculate the common denominator of j and -107/16250. 65000 Let b = 1945/22 - 3803/44. Let g = -243613/468 + 6732/13. Calculate the common denominator of g and b. 396 Let v = 238 - 94. What is the common denominator of -109/70 and (-802)/(-336) - 54/v? 420 Let w be (-2)/(-5*(-2)/(-106505)). Let z = w + -383543/18. What is the common denominator of z and 395/(-100)*15/(-18)? 72 Let f = -6663 - -8112. What is the smallest common multiple of 1288 and f? 11592 Suppose 0 = 5*u + 25, -5*j - u - 10 - 5 = 0. What is the common denominator of 2982/63*j/(-4) and 52/49? 147 Let q(s) = 375*s + 1569. Calculate the smallest common multiple of 15 and q(16). 37845 Find the common denominator of 5 - 26 - 650003/(-31152) and -103/1342. 32208 Calculate the common denominator of 24/18 + 94/(-120) + 2 and -77/1588. 7940 Find the common denominator of 1/15*((-1674)/12 - 6) and -11/62. 310 Let y = -14056 - -14092. Let u(v) = -2*v - 6. Calculate the least common multiple of y and u(-7). 72 Let c = -3742060/87 - -43013. Calculate the common denominator of c and 1/261. 261 Let f = -45/41 + 1914/287. Calculate the common denominator of f and 3102/1260 - 15/(-50). 21 Let l be (-475856)/42*-4*(-7)/56. Let i = l + 5666. Calculate the common denominator of (134/(-6))/(24/(-6)) and i. 84 Let m(o) = -4*o - 86. What is the lowest common multiple of 26 and m(-27)? 286 Let g = -96936171521/72 - -1346360793. Let f = 25076
{ "pile_set_name": "DM Mathematics" }
(s) = -s**3 - s**2 - s. Determine 4*b(i) + n(i). 2*i**3 + 2*i**2 + 2*i Let a(h) = -4*h + 4. Let k(p) = -7*p + 7. Let z(i) = -4*i + 1. Let c be z(2). Let f = 10 + c. Determine f*k(u) - 5*a(u). -u + 1 Suppose 0*a - 9 = -3*a. Let u = a + 1. Suppose u*f + 14 = -22. Let i(y) = -4*y + 11. Let h(w) = -2*w + 5. Calculate f*h(k) + 4*i(k). 2*k - 1 Let k(r) = -5*r - 21. Let l be k(-4). Let d(c) = c**3 + c**2 + c + 1. Let a(x) = 2*x**2 + 2*x + 3. What is l*a(n) + 2*d(n)? 2*n**3 - 1 Let m(y) = 5*y - 2. Let q(w) = 16*w - 5. Calculate 8*m(k) - 3*q(k). -8*k - 1 Let i(z) = -2*z**2 + 2*z - 3. Let f(t) = -3*t**2 + 3*t - 4. Give 5*f(x) - 6*i(x). -3*x**2 + 3*x - 2 Let o(t) = 3*t**2 - 11. Let l = -1 - -5. Let g be -4*(6/4 - 2). Let y(h) = 0*h**2 + h**g - 4 + 0. Determine l*o(z) - 11*y(z). z**2 Suppose 2*c - 21 = -9. Let k(g) = g**2 + 2*g - 4. Let n(d) = 2*d**2 + 3*d - 7. What is c*n(i) - 10*k(i)? 2*i**2 - 2*i - 2 Let j(f) = 8*f**3 - f**2 + 8*f. Let m(h) = 12*h**3 + 3*h**2 + 12*h + 5. Let n(g) = g**3 - g**2 + g - 1. Let o(q) = m(q) + 5*n(q). Calculate 13*j(b) - 6*o(b). 2*b**3 - b**2 + 2*b Let m(x) = -10*x**3 - 7*x**2 + 7. Let g be -21*(6/9)/2. Let y(d) = -7*d**3 - 5*d**2 + 5. Determine g*y(n) + 5*m(n). -n**3 Let h(p) = 3*p**3 + 9*p**2 + 5*p - 9. Let r(u) = -u**3 - 4*u**2 - 2*u + 4. Suppose 0 = -3*s + 4*g + 20, -3*s = -8*g + 3*g - 22. What is s*h(y) + 9*r(y)? 3*y**3 + 2*y Suppose 3*x = -2*t - 2*t - 28, -3*t - x - 21 = 0. Let q(h) = 4*h**2 + 7. Let u(j) = -j**2 - 2. Give t*u(n) - 2*q(n). -n**2 Let i be (-24)/(-10) - 4/10. Let v be (-4)/6 - 16/(-6). Let h(r) = v - 4 + 1 + r**i - r. Let q(j) = -6*j**2 + 8*j + 8. Calculate -8*h(n) - q(n). -2*n**2 Let v(u) = -u**3 - u**2 + u + 1. Let m(t) = -24*t**3 - 22*t**2 + 22*t + 22. Give 6*m(p) - 132*v(p). -12*p**3 Let l(b) = b**2 - b + 1. Let k be l(2). Let v(a) = 8*a - 3*a**k + 6 + 5*a**2 - 3*a - 7*a**3 + 3*a**3. Let r(i) = -i**3 + i**2 + i + 1. Give -5*r(w) + v(w). -2*w**3 + 1 Let u(j) = 2*j**3 + 2*j**2 + 5*j + 3. Let b(i) = i**3 + i**2 + i + 1. Let v(h) = h**2 - 6. Let w be v(-3). What is w*b(y) - u(y)? y**3 + y**2 - 2*y Let v(z) = -z**2 - z + 1. Let j(w) = -40*w**3 + 5*w**2 + 5*w - 5. Give -j(b) - 5*v(b). 40*b**3 Let c(g) = -2*g**2 + 5*g. Let b(j) be the second derivative of 3*j + 1/2*j**3 + 0 + 0*j**2 - 1/12*j**4. What is 10*b(s) - 6*c(s)? 2*s**2 Let v(x) = -5*x - 11. Let d(y) = -y - 2. Determine 22*d(k) - 4*v(k). -2*k Let r(v) = 3*v**3 + 5*v**2 - 4. Let l(x) = 2*x**3 + 3*x**2 - 2. Determine 5*l(s) - 3*r(s). s**3 + 2 Let z(g) = 31*g**3 - 13*g**2 + 9*g + 2. Let k(d) = -15*d**3 + 6*d**2 - 4*d - 1. Give 13*k(r) + 6*z(r). -9*r**3 + 2*r - 1 Let y(p) = 3*p + 3. Let t(k) = 10*k + 8. Give -4*t(h) + 11*y(h). -7*h + 1 Let s = 55 - 53. Let k(p) = 1 + 3 - 2. Let t(j) = -j - 11. Give s*t(h) + 11*k(h). -2*h Let d(k) = k**3 + k. Let f(n) = 10*n**3 - 2*n**2 + 11*n - 1. Give -22*d(t) + 2*f(t). -2*t**3 - 4*t**2 - 2 Let z(y) = 45*y - 5. Let n(s) = -90*s + 9. Give 3*n(g) + 5*z(g). -45*g + 2 Let l(f) = -3 + 4 + 3 - f - 5. Let y(k) = -5*k - 5. Give -6*l(d) + y(d). d + 1 Let g(s) = s - 2. Let r(w) = 2*w - 3. Let l be (-46)/(-10) + (-30)/(-75). Give l*g(i) - 3*r(i). -i - 1 Let s(b) = 1. Let i(w) be the third derivative of -w**5/30 - w**4/12 + 2*w**3/3 - 13*w**2. Determine -i(v) + 3*s(v). 2*v**2 + 2*v - 1 Let o(f) = -f + 7. Let l(y) be the first derivative of 3*y**2/2 - 20*y + 1. Let b = 8 + -2. Suppose 0 = -j - b - 0. Calculate j*l(v) - 17*o(v). -v + 1 Let l(h) be the second derivative of -h**4/4 + 7*h**3/6 - 7*h**2/2 - h. Let m be 2/(-5) - 34/(-10). Let g(n) = 11*n - 5*n**2 - m - 8 + 0. Give -5*g(x) + 8*l(x). x**2 + x - 1 Let v(q) = -7*q - 2. Let c(g) = -6*g - 1. Give -5*c(i) + 4*v(i). 2*i - 3 Let m(c) = c**3 - c**2 - c + 1. Let z(q) = -10*q**3 + 12*q**2 + 12*q - 12. Let l = 50 - 16. Let f = 14 + -4. Suppose f = -2*h + l. Determine h*m(n) + z(n). 2*n**3 Let i(g) = -g**3. Let s(o) = -4*o**3 - 6*o. What is 3*i(q) - s(q)? q**3 + 6*q Let z(n) = 3*n + 6. Let h(m) = 5 + 0 + 0*m + 3*m. What is -7*h(r) + 6*z(r)? -3*r + 1 Let i(a) = -a**2 - a. Suppose 2*c = 7*c - 15. Let p(x) = 4*x**2 + 1 + 5*x + 0 + 0. What is c*i(g) + p(g)? g**2 + 2*g + 1 Let q(i) = 27*i**2 + 11*i - 11. Let m(c) = -13*c**2 - 6*c + 6. Give 11*m(k) + 6*q(k). 19*k**2 Let p(q) = 49*q**2 + 2*q + 1. Let d(a) = -a - 1. Calculate -2*d(k) - p(k). -49*k**2 + 1 Let n(l) = -5*l - 17. Let k(c) = -c + 1. Give 4*k(d) - n(d). d + 21 Let g(o) = -2*o**3 - 3*o**2 + 3*o - 2. Let t(m) = 4*m**3 + 7*m**2 - 7*m + 5. What is -7*g(w) - 3*t(w)? 2*w**3 - 1 Let m(g) = 1 - 1 + 1. Let q(o) = 2*o + 4 - o + o - 6. Give -4*m(i) - q(i). -2*i - 2 Let z(o) = -35*o + 4. Let a(m) = -1364*m + 155. What is -4*a(s) + 155*z(s)? 31*s Let t(v) = -v**2 - 5*v + 5. Let x(l) = -14*l + 14. Let m(j) = j**2 - 14*j + 14. Let s(h) = -2*m(h) + 3*x(h). Calculate 3*s(a) - 8*t(a). 2*a**2 - 2*a + 2 Let y(z) = 6*z**2 - z**2 - 4*z**2. Let c(b) = b**2. Suppose 0 = -5*a + 3*w + 1 + 1, -5*a + 5*w = 0. Calculate a*y(r) - 2*c(r). -r**2 Let o(b) = -b**2 + 2. Suppose -a = -2*a + 2. Let n(k) = 0*k**a + 1 - 5*k - 2 + 4*k + k**2. Calculate -2*n(w) - o(w). -w**2 + 2*w Let j be 4 + -4 + 6 - 1. Let s(n) = 6*n - 1. Let q(m) be the second derivative of -5*m**3/6 + m**2/2 - 3*m. Calculate j*q(t) + 4*s(t). -t + 1 Let p(d) = d**2 - 6*d - 10. Let f(o) = -o**2 + 6*o + 9. Let l(y) = 5*f(y) + 4*p(y). Let s(i) = -3 - 17*i + 1 + 16*i + 1. Calculate -l(c) - 6*s(c). c**2 + 1 Let b(g) = -6*g**2 + 7*g. Suppose -4*o = -4*p + 44, -p - 3*p + 2*o = -42. Suppose -a = a - p. Let t(i) = -5*i**2 + 6*i. Calculate a*t(j) - 4*b(j). -j**2 + 2*j Let t(k) = -2*k - 2*k - k**2 + 1 + 5*k. Let n(o) be the third derivative of -o**5/20 + o**4/24 + o**3/3 - 6*o**2 + 1. Determine n(p) - 2*t(p). -p**2 - p Let x(k) = 4*k - 1. Let z(o) = 13*o - 3. Determine 7*x(m) - 2*z(m). 2*m - 1 Let l(z) = z**2 + 4*z - 6. Let k(v) = 5*v**2 - 5*v + 1. Let g(c) = 9*c**2 - 10*c + 3. Let r(t) = 6*g(t) - 11*k(t). Give -6*l(n) - 5*r(n). -n**2 + n + 1 Let d(t) = t**3 - 3*t**2 + 3. Let a = 5 + -5. Suppose -5*x - 4 = 3*n - 33, -4*n - 3*x + 24 = a. Let y(u) = u**3 - u**2 + 1. What is n*y(z) - d(z)? 2*z**3 Let l(c) = 4*c**3 + 5*c**2 - c. Let t(r) = -20*r**3 - 26*r**2 + 6*r. Calculate 11*l(x) + 2*t(x). 4*x**3 + 3*x**2 + x Let q(p) = 7*p - 9. Let n be ((-12)/(-8))/(3/(-4)). Let o(s) = s - 6. Let t(g) = -g - 1. Let f(j) = o(j) - 2*t(j). Determine n*q(m) + 5*f(m). m - 2 Let w(j) be the third derivative of j**6/60 + j**5/20 - 159*j**2. Let f(l) be the first derivative of 5*l**4/4 + 2*l**3 - 1. Give 3*f(g) - 7*w(g). g**3 - 3*g**2 Let j(x) = -5*x + 4. Let c(l) = -25 + l + 18 + 8*l. Calculate 6*c(k) + 11*j(k). -k + 2 Let q(l) = -l. Suppose 4*w = 2*o - 16, -4*o + 8 = w - 6. Let c = -10 + 13. Let i(g) = -3*g - c*g + 3*g + 0*g. Determine o*q(b) - 2*i(b). 2*b Let n(i) = 4*i**2 + 15*i + 4. Let s(a) = 2*a**2 + 7*a + 2. Let z = 21 - 8. Give z*s(v) - 6*n(v). 2*v**2 + v + 2 Let j(k) = 47*k**3 - 7*k**2 + 7*k - 7. Let n(o) = -31*o**3 + 5*o**2 - 5*o + 5. Determine 5*j(y) + 7*n(y). 18*y**3 Let n(s) = -33*s + 5. Let v(l) = 49*l - 7. What is 7*n(w) + 5*v(w)? 14*w Let x(t) = -t. Let o(z) = 3*z + 7. Let h = -8 + 28. Suppose -4 = 4*u + h. Let q(p) = -p - 3. Let y(d) = u*o(d) - 14*q(d). Determine 6*x(j) - y(j). -2*j Let x(d) = -48*d**3 - 7*d**2 - 10. Let m(i) = 16*i**3 + 2*i**2 + 3. Determine 7*m(s) + 2*x(s). 16*s**3 + 1 Let s(b) = -2*b**2 + 2*b + 2. Let u(h) = -h**2 + h + 1. Let g(q) = -2*s(q) + 5*u(q). Let t(d) = d**3 - 5*d**2 + 5*d + 5. Determine 5*g(k) - t(k). -k**3 Let m(r) = -2*r + 1. Let c(q) be the second derivative of 0*q**2 + 0 + q - 1/6*q**3. Suppose 0 = 4*i - 2*s + 20, 0 = 3*s - 2 + 8. Give i*c(w) + 2*m(w). 2*w + 2 Let q(j) = -8*j - 11. Suppose -19 = t - 3*i, -3*t - i - 2 = 5. Let m(w) = 3*w + 4. Determine t*q(l) - 11*m(l). -l Let d(x) = -2*x + 9. Let u(z) = 6*z - 3*z - 4*z + 5. Let t = -24 - -13. Determine t*u(i) + 6*d(i). -i - 1 Let v(o) = 2*o - 9*o + 0*o + 3*o - 7. Let i(x) = 2*x + 4. Let r(z) = -z - 1. Let h(y) = 2*i(y) - 2*r(y). Give -5*h(u) - 7*v(u). -2*u - 1 Let w(a) = -a**2 - a. Let n(p) = 8*p**2 + 5*p. What is 2*n(f) + 10*w(f)? 6*f**2 Let r(j) = -5*j**2 + 69*j - 9. Let u(a) = -a**2 + 17*a - 2. Determine 2*r(v) - 9*u(v). -v**2 - 15*v Let x(d) = -2*d**3. Let h = 5 + -8. Let m be 5 + h - (-4)/2. Let k(q) = 0*q**3 + 3*q**3 - 2*q**
{ "pile_set_name": "DM Mathematics" }
(n) = -2*n + 125 - 125. Let y(i) = 16*i**2. Give s(y(b)). -32*b**2 Let d(p) = 4*p**2. Let z(f) = -f**2 - 5*f - 4. Let w be z(-3). Let n(a) = -2*a**w + 25 - 25. Determine n(d(g)). -32*g**4 Let w(i) = i**2 + i + 1. Let t(n) = 10*n**2 + 4*n + 4. Let v(y) = t(y) - 4*w(y). Let o(d) = -d. Calculate o(v(k)). -6*k**2 Suppose -r + 2*x = -2, -2*r + 4 = -0*r + 4*x. Let i(w) = 0*w**2 + 4*w**2 + 2*w**r. Let u(o) = -o. Calculate u(i(b)). -6*b**2 Let q(u) = -2*u**2. Let c(r) be the first derivative of -r**4/6 + 2*r**2 + 1. Let p(h) be the second derivative of c(h). Give q(p(x)). -32*x**2 Let y(t) be the first derivative of 10*t**3/3 - 12. Let i(q) = -2*q. Calculate y(i(g)). 40*g**2 Let h(b) = 2*b**2. Let d(i) = i. Suppose 2*l + 1 = 5. Let p be d(l). Let o(r) = -3*r**2 + 4*r**2 - p*r**2. Calculate h(o(a)). 2*a**4 Let v = 41 + -26. Let y = v + -1. Let c(s) = 14 - y + 3*s**2. Let d(i) = i**2. Give c(d(m)). 3*m**4 Suppose 4*t + 0*t = 12. Let o(y) be the second derivative of 0*y**t + 1/3*y**4 + 0 + y + 0*y**2. Let k(b) = 2*b**2. Give k(o(c)). 32*c**4 Let k(a) = 2*a. Let b(w) be the first derivative of 11*w**6/360 + 2*w**3/3 + 6. Let j(u) be the third derivative of b(u). Determine j(k(f)). 44*f**2 Let a(r) = 11*r**2. Let p(q) be the second derivative of q**3/6 - 5*q. What is p(a(x))? 11*x**2 Let t(f) = f. Let x(l) = -l - 41*l**2 + 55*l**2 + l. Let c(r) = -21*r**2. Let n(s) = -5*c(s) - 8*x(s). Give n(t(b)). -7*b**2 Let o(l) = l. Let n(t) = -14247*t. What is o(n(f))? -14247*f Let g(f) = 106*f**2 - 2*f. Let p(q) = -7*q. Give g(p(m)). 5194*m**2 + 14*m Let k(a) = -6*a**2. Let x(v) be the third derivative of -v**5/20 - v**2. Determine x(k(j)). -108*j**4 Let t(n) = -n. Let a(i) = 2760*i**2 + 1. Determine t(a(x)). -2760*x**2 - 1 Let j(m) = -7*m. Let k(i) = 0*i - 10*i - 8*i + i. Calculate j(k(a)). 119*a Let q(k) = 2*k. Let b(i) = -900*i - 2. Give b(q(y)). -1800*y - 2 Let u(r) = -3*r**2. Let f(y) = 6*y**3 + 4*y**2 + 9*y - 5*y**3 + 2 - 2*y**3 - 4*y. Let t be f(5). Let s(l) = l - t*l + 3*l. What is u(s(o))? -12*o**2 Let y(a) = -2*a**2. Let s(p) be the second derivative of 1/6*p**4 + 0*p**2 + 0 - 2*p + 0*p**3. What is s(y(v))? 8*v**4 Let z(m) = -3*m**2. Let p(q) be the first derivative of -q**4/24 - 3*q**2/2 + 4. Let b(i) be the second derivative of p(i). What is b(z(j))? 3*j**2 Let j(f) = 1. Let x(g) = g - 6. Let a(c) = 6*j(c) + x(c). Let n(z) = 4*z**2 - 2*z**2 + 0*z**2. Determine a(n(s)). 2*s**2 Let h(b) = -5*b + 3*b - 5*b. Let w(s) = s. Let z(i) = 2*h(i) + 6*w(i). Let o(a) = a. What is z(o(c))? -8*c Let r(i) = i. Let x(s) = -11*s - 7. Let a(y) = -6*y - 4. Let t(h) = 7*a(h) - 4*x(h). What is t(r(p))? 2*p Let p(t) = -t**2. Let u(v) = -2*v**2. Let j(g) = 3*p(g) - u(g). Suppose -d = d - 10, -2*d = -5*n - 5. Let l(q) = 1 - n + 6*q. What is l(j(x))? -6*x**2 Let q(a) = 68*a**2 - 24*a**2 - 22*a**2 - 20*a**2. Let s(r) = 9*r**2. Calculate s(q(w)). 36*w**4 Let v(m) = -12 + 12 - 2*m. Let q(r) = 4*r**2. What is q(v(d))? 16*d**2 Let g(o) = -5884*o. Let v(m) = -2*m. Give v(g(j)). 11768*j Let v(j) = -j + 7*j**2 + 2 + 4*j - j. Let a(r) = -342*r**2 - 99*r - 99. Let p(u) = 2*a(u) + 99*v(u). Let l(q) = q. What is l(p(z))? 9*z**2 Let j(k) = -3*k**2. Let s(t) be the first derivative of -t**2/2 - 2. Determine j(s(x)). -3*x**2 Let k(q) = -2*q. Let w(u) = 327*u - 327*u - 10*u**2. What is w(k(b))? -40*b**2 Let r(y) = -776*y**2. Let x(c) = c**2. What is r(x(b))? -776*b**4 Let p(j) = j + 145. Let z(f) = 11*f. Give z(p(c)). 11*c + 1595 Let g(i) = -i. Let r(y) be the second derivative of -y**5/30 - 3*y**2/2 - 2*y. Let l(a) be the first derivative of r(a). What is l(g(h))? -2*h**2 Let s(k) = -3*k**2. Let t(g) = 121*g - 5. Give t(s(j)). -363*j**2 - 5 Let y(z) = -22*z**2. Let s(x) be the first derivative of 2*x**3/3 + 13. Calculate y(s(a)). -88*a**4 Let a(h) = -43*h. Let j(y) = 1. Let f(p) = -2*p**2 - 5. Let x(b) = -f(b) - 5*j(b). Determine a(x(m)). -86*m**2 Let h(x) = 228*x**2. Let y(d) = 2*d**2. Calculate h(y(f)). 912*f**4 Let w(r) = 18884*r**2. Let v(g) = -2*g. Calculate v(w(b)). -37768*b**2 Let w(s) be the third derivative of 11*s**4/12 - s**2 - 10. Let r(n) = 3*n. Calculate w(r(v)). 66*v Let q(j) be the second derivative of 5*j**4/4 + 8*j + 1. Let w(x) = 2*x**2. What is q(w(d))? 60*d**4 Let m(s) = s. Let q(h) = -36*h - 27. Let y(p) = 5*p + 4. Let c(f) = 4*q(f) + 27*y(f). Let l(u) = -c(u) - 6*m(u). Let o(d) = -4*d**2. Calculate o(l(g)). -36*g**2 Let d(j) = 2*j**2. Let a(r) = -110*r**2 + 65*r + 75. Let c(t) = 10*t**2 - 6*t - 7. Let q(w) = 6*a(w) + 65*c(w). What is d(q(i))? 200*i**4 + 200*i**2 + 50 Let w(c) = -7*c**2. Let z(b) = 33*b**2. Calculate z(w(d)). 1617*d**4 Let h(u) = -u**2. Let z = 3 - 3. Let a(x) = 0 - 4*x + z. Determine a(h(y)). 4*y**2 Let d(o) be the first derivative of 2*o**3/3 - 16. Let t(q) = -30*q. Determine t(d(j)). -60*j**2 Let a(y) = y. Let b(t) be the first derivative of t**3/6 + t - 3. Let m(h) be the first derivative of b(h). Give m(a(i)). i Let g(f) = -3*f**2. Let x(y) = -14*y. Let t(r) = r. Let o(k) = 12*t(k) + x(k). Give g(o(l)). -12*l**2 Let k = 1 - -5. Let s = -3 + k. Let b(l) = -3*l**2 - l**2 + s*l**2. Let g(i) = -i**2. What is g(b(y))? -y**4 Let t(g) = -3*g**2. Let m(o) = 63*o - 122*o + 57*o. What is t(m(l))? -12*l**2 Suppose -2*f + 0*f + 4 = 0. Let i(l) = 4*l**2 - 4*l**2 - 3*l**f. Let w(y) = 4*y. Calculate w(i(s)). -12*s**2 Let x(p) = p**2. Let y(f) be the first derivative of f**5/20 + f**2/2 - 4. Let h(k) be the second derivative of y(k). Calculate h(x(w)). 3*w**4 Let o(q) = 21*q**2 - 5*q. Let t(i) = -169*i**2 + 39*i. Let u(n) = 39*o(n) + 5*t(n). Let d(r) = -r**2. Give d(u(g)). -676*g**4 Let n(v) be the third derivative of v**5/12 + v**2. Let y(z) = 8*z**2. Let i(a) = a**2. Let w(l) = -18*i(l) + 2*y(l). Give w(n(m)). -50*m**4 Let d(w) = 8*w**2. Let v(m) = -m - 1. Let r(g) = -4*g - 5. Let t(x) = r(x) - 5*v(x). Calculate t(d(q)). 8*q**2 Let d(o) = -o. Let l(m) = -35*m. Let z(r) = -25*d(r) + l(r). Let x(w) = -w. Calculate z(x(n)). 10*n Let l(r) = 7*r. Let q(h) be the first derivative of -8*h**3/3 - 36. Calculate l(q(t)). -56*t**2 Let j(h) = -2*h. Let t(r) be the second derivative of -2*r**4/3 - 29*r. Give t(j(v)). -32*v**2 Let p(f) = -5*f**2. Let o(h) be the first derivative of -h**4/24 + 7*h**2/2 + 4. Let d(t) be the second derivative of o(t). Calculate p(d(b)). -5*b**2 Let i(j) = j**2. Let m(l) = -8 + 2*l**2 + 8. Calculate m(i(y)). 2*y**4 Let l(d) = -186 - d**2 + 186. Suppose 3*r = -2 + 14. Let h(u) = 0*u - r*u + 5*u. Calculate l(h(q)). -q**2 Let j(d) = 5*d. Let h(x) = -14*x + 44. Calculate j(h(r)). -70*r + 220 Let r(u) be the second derivative of 0 + 0*u**2 + 0*u**3 - u + 1/4*u**4. Let w(c) = 2*c. What is w(r(m))? 6*m**2 Let p(v) = 3*v**2. Let b(u) = -u**2 - u + 1. Let k(j) = -8*j**2 - 6*j + 6. Let r be 5/(-7) + 4/(-14). Let t(y) = r*k(y) + 6*b(y). Determine p(t(d)). 12*d**4 Let q(p) = 4*p**2. Suppose 7*n + 5*u - 10 = 3*n, 2*u - 4 = 5*n. Let c(m) = -8 + 8 - 2*m**2 + n. Determine c(q(d)). -32*d**4 Let h(a) = a. Let n(m) be the first derivative of -4*m**3/3 - 4*m + 1. Let r(u) be the first derivative of n(u). Determine r(h(o)). -8*o Let v(u) = -1. Let h(p) = -8. Let t(a) = -h(a) + 4*v(a). Let d(r) = -r + 5. Let z(q) = 4*d(q) - 5*t(q). Let w(l) = l. Calculate w(z(g)). -4*g Let f(x) = -164*x**2. Let p(b) = 14*b**2. What is f(p(g))? -32144*g**4 Let s(f) = -21*f. Let x(b) be the third derivative of b**4/12 + 21*b**2. What is s(x(v))? -42*v Let a(g) = -2*g**2. Let h(n) = 2*n. Let k = -19 - -13. Let u(f) = f + 8*f + 9*f. Let x(s) = k*u(s) + 52*h(s). What is a(x(r))? -32*r**2 Let r = 2 + 2. Let p(s) = r*s + 3 - 3. Let d(z) = -5*z. Calculate p(d(x)). -20*x Let v(f) = 47*f**2. Let k(a) = 55*a. What is v(k(g))? 142175*g**2 Let p(z) = -13*z**2 + 9*z - 9. Let w(l) = 6*l**2 - 4*l + 4. Let c(s) = 4*p(s) + 9*w(s). Let b(d) = d**2 - 3*d**2 + 3*d**2. Calculate c(b(h)). 2*h**4 Let d(v) = 3*v**2 - 2*v**2 + v**2. Let m(y) = 3*y - y + 0*y. What is m(d(n))? 4*n**2 Suppose -8 = -2*r - 4. Suppose -5*w - 5 + 15 = 0. Let y(c) = -2*c**w + 0*c**r + 0*c**2. Let b(n) = 2*n. What is y(b(j))? -8*j**2 Let f(u) = 2*u. Let s(b) = 30*b**2 - 341*b. Give s(f(z)). 120*z**2 - 682*z Let a(b) be the first derivative of -2*b**3/3 + 9. Let u(q) = 5*q. Give a(u(n)). -50*n**2 Let l(g) = 3*g**2. Let x(u) = -2*u + 31
{ "pile_set_name": "DM Mathematics" }
3? -2/7 Calculate (-22)/55*(-6)/(-3). -4/5 What is the value of (-2 - 6)*((-20)/(-8))/5? -4 19/(-114)*-1*3 1/2 What is the value of (12/10)/1*(-60)/(-9)? 8 Evaluate (-21)/(-28) + ((-15)/36 - -1). 4/3 What is the value of ((-20)/(-25))/2*(-1)/(-1)? 2/5 What is the value of (-4080)/(-660) + 1 + -7? 2/11 What is the value of (2 - (-112)/(-22)) + (-26)/(-286)? -3 Evaluate (32/(-56))/(18/7). -2/9 What is 5 - -1 - 570/105? 4/7 What is the value of (16 + -12)*3/6? 2 What is the value of ((-56)/(-364))/(1 + -2)? -2/13 Calculate 315/(-225) + (-3)/5. -2 Evaluate 60/160*64/36. 2/3 What is (-715)/540 - (-10)/135? -5/4 Evaluate -11 - (14 + -26) - 7/5. -2/5 (-17)/5 - (-16)/40*1 -3 Calculate (2/5)/((49/70)/(-7)). -4 (25 + -30)*(-2)/6 5/3 Calculate 2/(-9) - (-55)/45. 1 Evaluate (30/(-25) + 0)/2. -3/5 What is 2/(-8) - (-3059)/7084? 2/11 What is the value of (-3)/(-12)*-44 + 17? 6 9/(-12)*((-3)/1 - -15) -9 Calculate (-2 - 22/(-24)) + 36/27. 1/4 What is (1/3)/((-249)/(-63) - 4)? -7 What is the value of 98/196*1*-6? -3 What is (-3)/(-7) - (-41)/(-63)? -2/9 What is 348/(-290)*(-10)/54? 2/9 Evaluate (-6)/(-2)*2/(-6). -1 What is 27/(-12) + (11/(-4) - -3)? -2 What is the value of ((-9)/(-114)*8/6)/1? 2/19 What is the value of (-10 - -8)*(-21)/6? 7 Calculate (66/(-495))/(-1 - (-13)/10). -4/9 Evaluate (18/16)/((-36)/(-48)). 3/2 (5*78/75 + -5)/(-1) -1/5 Evaluate -17 + 7 + 12 + 1 + 4. 7 What is 8 - (1 - (-36)/5)? -1/5 What is -2 - (6/(-3) - -2)? -2 What is the value of (1 - 7) + 1 + 4? -1 What is 9 + (13 - 242/11)? 0 What is 3 - 51/9 - 0 - -3? 1/3 Evaluate 6 + 2 + (-26 - -14). -4 What is (-13)/(-26)*6/(-5)? -3/5 What is (((-25)/325)/((-2)/(-4)))/1? -2/13 What is -29 + 25 + 29/8? -3/8 42/35*(-10)/4 -3 Calculate ((-2)/(-10))/(7/(-35)). -1 What is (0/(4 + -6))/(-1*1)? 0 12/(-9)*5/(-90) 2/27 What is the value of (-18)/(-60)*(-30)/18? -1/2 What is the value of 3/(-2)*80/24? -5 What is the value of (-15)/((-9)/(-3)) - (1 - 7)? 1 Evaluate (-2)/10 - 70/25. -3 What is ((-46)/(-42) - 1)*-6? -4/7 Calculate (-3)/((-81)/6) + 102/27. 4 What is (-1 - 3)/(-1) - (12 - 9)? 1 Evaluate ((-7)/6)/(1111/66 + -17). 7 Evaluate ((-6)/24)/(((-63)/48)/3). 4/7 What is (4 - 3)*((3 - 4) + 1)? 0 Evaluate (2 - 6) + 11 - 92/13. -1/13 Calculate -3*(-9 - (-261)/27). -2 What is 7/(-63)*2/1? -2/9 (51/34)/(-1 + -5) -1/4 What is (-3)/(-4) - (-1365)/(-1404)? -2/9 What is the value of (-8)/(-70)*10/4? 2/7 Evaluate 129/(-18) - 40/(-240). -7 (-4)/38 + 165/(-418) -1/2 ((-2)/(-42)*30/(-10))/(-1) 1/7 Evaluate (1/14 + (-24)/42)/2. -1/4 Calculate (0 + 12/(-8))*2/9. -1/3 Calculate (-30)/1300*-54 - 8/(-52). 7/5 Evaluate (-3)/(-18) - -1*38/(-12). -3 Calculate (-19)/(-4) - 2 - 3. -1/4 ((-40)/15 + 1)*6/(-2) 5 What is the value of 14/42 - 2/6? 0 (-48)/18 + 4/6 -2 Calculate (-1 - 0)*(-3)/6*0. 0 Calculate (-3)/(-12)*24/2. 3 2/4*-2*1 -1 (-36)/30*1 - 46/(-5) 8 What is the value of (-1)/3 + (-40)/(-12) - 8? -5 What is the value of (1/20)/(6/24)? 1/5 What is (3630/272)/(-55) - (-2)/17? -1/8 Calculate 0 + 0 - (3 - 6/4). -3/2 What is 0 - -5 - (7/(-1) - -9)? 3 What is the value of (72/252)/((-9)/(-7))? 2/9 Evaluate (-78)/117*9/(-2). 3 What is (1/8)/((-9)/(72/10))? -1/10 Calculate (-21)/(-3) - (6 - -6). -5 ((-159)/54 + 3)/(5/20) 2/9 What is the value of 10/1820*13*2*1? 1/7 Calculate -3 + (-640)/(-108) - 21/7. -2/27 Calculate (-5)/20 - 28/(-48). 1/3 ((-30)/(-420))/((-3)/(-12)) 2/7 What is the value of (-10)/20 + 10/28? -1/7 What is the value of (-10)/3 - 8/(-24)? -3 (-4)/(40/(-6)) - (-30)/75 1 Calculate ((-9)/(6/(-2)))/(6/4). 2 Calculate (-6)/4 - (5 - (-54)/(-12)). -2 Evaluate (-207)/1564 + 8/(-68). -1/4 (-2)/(3/(10 + -4)) -4 What is (7 - 56/8)/2? 0 Calculate -2*((13 - 4) + -8). -2 1*4/(-26) - 410/(-130) 3 Evaluate (9/2)/(-7 + (-210)/(-28)). 9 (-27)/(-63) + 44/28 2 (-2)/16 - 1624/(-2240) 3/5 What is the value of ((-72)/594)/((-6)/9*-1)? -2/11 Evaluate (-1 + 1)*9/72*4. 0 What is the value of (-8)/(-11)*(8 + 62/(-8))? 2/11 2*(3 + 4*(-3 + 2)) -2 What is the value of -6 - ((-14)/2 + 3)? -2 Calculate (-12)/(-102) - (-1 - (-350)/374). 2/11 Evaluate (-231)/33 + (-22)/(-3). 1/3 Calculate 9/12 + 19/12 + -2. 1/3 Evaluate (-12)/(-66) - 2/11. 0 What is the value of 5*(-24)/(-45)*9/6? 4 Evaluate 2121/(-322) + 6 - 2/(-4). -2/23 What is (-2)/(-8) - 2 - (-6)/3? 1/4 ((-156)/702)/(-2 + (-16)/(-6)) -1/3 (-18)/171 - 24/494 -2/13 What is the value of (-2)/(-5) + (-18)/20? -1/2 What is 20 + -21 + (-8)/4? -3 What is the value of (-348)/126 + 91/39? -3/7 172/774 - (-4)/(-90)*14 -2/5 Evaluate ((-14)/35)/((-1)/(15/(-21))). -2/7 Calculate 52/20 - 3 - 99/15. -7 What is (-5)/(-25) + 36/(-80)? -1/4 Evaluate -1 - ((-7)/5)/((-18)/(-30)). 4/3 Evaluate (-1)/(2/4) + 6. 4 Evaluate (10/3*(-348)/(-145))/(-2). -4 What is the value of 0/((-3 - -8)/5) + 0? 0 Calculate (-14)/(-49) - (-72)/(-63). -6/7 Evaluate (-10)/2 - (-3 + 2). -4 Evaluate 6/(-39)*-1 - (-180)/(-156). -1 What is the value of 1 + -2 + 0 - (-4 - -9)? -6 21/49 - 9/21 0 What is the value of -4 + (828/33)/6? 2/11 2/(-6) + 88/66 1 Calculate 1 + 1561/(-931) + (-8)/(-76). -4/7 0 + -10 + (-336)/(-56) -4 What is the value of 1 + -5 + 602/147? 2/21 Evaluate ((-320)/(-128))/((-2)/4). -5 186/(-195) - (-12)/78 -4/5 Calculate (-18)/6 + (2 - 1 - -1). -1 (11/(-110)*0)/(0 - -3) 0 What is the value of (-434)/(-70) + 2/(-10)? 6 What is ((-7)/(-35))/((-4)/(-15))? 3/4 What is ((-40)/6 - -7)/(6/(-4))? -2/9 Calculate (203/29)/(1 + -2) + 1. -6 What is the value of (2 - (5 - 3)) + (0 - -4)? 4 What is (-1)/(-4 - 1/(-2))? 2/7 What is the value of (0 - 2) + (330/40 - 7)? -3/4 Calculate 4/(6*(-2)/3). -1 What is 0 + (((-64)/(-6))/(-4) - -2)? -2/3 Evaluate 14/(-20) + 12/24. -1/5 Evaluate (5 + (-2 - 6))/((-9)/15). 5 Evaluate (-29)/(-58)*(0 + 0). 0 Evaluate -10 - (-187)/11 - 14. -7 (-3)/((-306)/(-29)) - 40/(-340) -1/6 48/84 - (-100)/70 2 What is (8/1)/(1 - -1)? 4 What is (90/24)/((-27)/(-6))? 5/6 What is the value of 21/36 + (-3)/9? 1/4 (-5)/(-4)*(-1112)/(-695) 2 What is ((5/(-5))/18)/((-2)/4)? 1/9 Evaluate (2*7/(-28))/((-1)/2). 1 Calculate (-10)/4*272/340. -2 What is ((-2)/(-48))/(3 + (-40)/15)? 1/8 What is 135/(-400) - 1/16? -2/5 What is 6 + ((-38)/9 - 2)? -2/9 What is the value of (7 - 11)/(4 - 1 - 5)? 2 ((-10)/(-75))/(6/(-9)) -1/5 What is -5 - (-1 - 6 - (-90)/48)? 1/8 What is the value of 4/1 - 18/6? 1 What is (-11449)/(-1177) - (-6)/22? 10 What is the value of (-1)/(1*(-24)/(-8))? -1/3 Evaluate (-1)/3*(-20 + (-464)/(-24)). 2/9 Evaluate (-7)/14 - (-11)/2. 5 (-204)/(-42) - (-30)/(-35) 4 Evaluate (-104)/(-520)*1*5. 1 Calculate ((-6)/12)/(3/6). -1 Calculate 5/30*-2*4/(-4). 1/3 Evaluate 2/8 + 1 - 1. 1/4 Evaluate (-4)/(24/(-26)) + 2/(-6). 4 ((-5)/((-5)/(-3)))/(1 - -9) -3/10 Evaluate (-13)/39 + 5/6. 1/2 Evaluate (16/12)/((-5)/3 - -1). -2 Calculate (10/(-3) - -2)*135/30. -6 (4 - 100/15)/(126/(-27)) 4/7 Calculate (-1836)/3240 - 6/10. -7/6 Calculate (5/3)/(12/(-540)*-25). 3 What is (-5)/(-20) - (-2)/(-4)? -1/4 What is the value of ((-9)/12)/((3/(-12))/1)? 3 What is (-2)/5*-4*(-27)/72? -3/5 Calculate (30/(-70))/(2/2). -3/7 What is the value of 1/(138/24 - 6)? -4 0 - 13/84 - 55/(-220) 2/21 What is ((-2)/6)/(18/(-12))? 2/9 What is the value of (40/(-36))/5 - 76/(-18)? 4 What is 2*2 - (-30 - -26)? 8 Calculate (-21)/((-147)/(-2)) - (-46)/14. 3 What is (-1 - 0)/2 - (-15)/(-6)? -3 ((-4)/19)/(4/2) -2/19 (5/(-1) - -1)/(-42 + 38) 1 What is (-12)/(-60)*(-2 + 1)? -1/5 What is ((-20)/55)/(0 + -2)? 2/11 What is (11/(-176))/(1/(-6))? 3/8 What is the value of ((-275)/30)/(-11) + (-870)/180? -4 What is the value of 3111/(-427) - 4/(-14)? -7 What is the value of 40/(-60) - (22/(-6))/1? 3 (-17)/((-1071)/(-27)) - 34/(-14) 2 Calculate ((-272)/442)/((-6)/13). 4/3 What is the value of (9/(-2) - (14 - 18))*8? -4 What is the value of 2/9 - (2 - (-220)/(-144))? -1/4 What is (-18)/5 + 3 + -4 + 5? 2/5 Evaluate 4 + 304/(-64) + 0 + 0. -3/4 0 + 0 - 20/(-5 - 5) 2 Evaluate (5/15 + -1)*(-27)/(-6). -3 Calculate (-12)/15*4/(-16). 1/5 What is the value of (-3 - -3)/(4/(-1) + 1)? 0 (6 + 68/(-10))/(42/(-105)) 2 Calculate 3/(45/(-39)) + 3. 2/5 Evaluate (-5)/1*4/250. -2/25 What is (16/(-32))/(3/(-24))? 4 What is the value of 2/(-28)*5/10*-2? 1/14 Evaluate (-1836)/243 + 8*1. 4/9 What is (-7)/4*(-32)/(-112)*10? -5 What is the value of 4/(-3)*17/(340/(-30))? 2 What is (-36)/(-8)*(-6 - 8
{ "pile_set_name": "DM Mathematics" }
2))**2*-1. -833 Simplify 6*(sqrt(567)*-1 + 1)**2. -108*sqrt(7) + 3408 Simplify (2*(sqrt(28)/sqrt(4) + 1 + sqrt(7)))**2. 16*sqrt(7) + 116 Simplify ((sqrt(55)*-1)/sqrt(5) - sqrt(11)*2*5)**2 - (4*-2*sqrt(11) - 6*sqrt(11)*-1). 2*sqrt(11) + 1331 Simplify -4*(sqrt(176) - sqrt(176)*1)**2 + sqrt(176) + (-6*-2*sqrt(176))**2. 4*sqrt(11) + 25344 Simplify sqrt(51)/sqrt(3) + -1 - -2*sqrt(17)*2. -1 + 5*sqrt(17) Simplify (sqrt(187) + (3*sqrt(187)*-2 - sqrt(187)))/sqrt(11). -6*sqrt(17) Simplify -1 + sqrt(152)/sqrt(32) + sqrt(19). -1 + 3*sqrt(19)/2 Simplify (sqrt(15)/(sqrt(20)/sqrt(64)))**2 + -4. 44 Simplify -4*(-2*-2*-2*sqrt(63))**2. -16128 Simplify ((sqrt(65) + 5*(sqrt(65) + (1*sqrt(65) - sqrt(65))))/(sqrt(5)*-1*6))**2. 13 Simplify sqrt(32)/(sqrt(36)/sqrt(144)). 8*sqrt(2) Simplify (-5*(sqrt(260)/sqrt(5) - sqrt(13)))**2. 325 Simplify ((sqrt(7) - ((sqrt(35) - sqrt(875))/sqrt(5) - sqrt(7)) - (sqrt(7) - (0 + sqrt(700))))*-2)**2. 6300 Simplify (sqrt(91)*1*-4)/((sqrt(280)/sqrt(5))/sqrt(8)). -4*sqrt(13) Simplify (sqrt(190) + sqrt(190) + 4*(-2*sqrt(190) - sqrt(190) - sqrt(190)) + sqrt(190) - sqrt(190))/(-4*-2*sqrt(10)). -7*sqrt(19)/4 Simplify 2*sqrt(11)*3 - 3*((sqrt(11) + sqrt(275))**2 - sqrt(11)). -1188 + 9*sqrt(11) Simplify ((((sqrt(77) - sqrt(77)*1) + sqrt(77))*-4)/((sqrt(42)/sqrt(3))/sqrt(2)))**2. 176 Simplify (2*1*sqrt(104))/sqrt(8) + -2. -2 + 2*sqrt(13) Simplify 2 + (sqrt(99)/(sqrt(9) - sqrt(45)/sqrt(5)*-1))**2. 19/4 Simplify (-3 + (-2*sqrt(33)/sqrt(3) - (sqrt(99) + 1)))**2. 40*sqrt(11) + 291 Simplify (sqrt(11)*2)**2*-4 - (sqrt(11) + 5 + sqrt(176)). -181 - 5*sqrt(11) Simplify (sqrt(27) + 2)*-4. -12*sqrt(3) - 8 Simplify -4 + ((1*sqrt(275) - sqrt(275))**2 - sqrt(44)/sqrt(4)*3). -3*sqrt(11) - 4 Simplify (sqrt(76)/sqrt(18) + sqrt(38))/sqrt(200). 2*sqrt(19)/15 Simplify (sqrt(704)*1 + sqrt(704) - sqrt(704))/(sqrt(576)/sqrt(9) + sqrt(4)) + -1. -1 + 4*sqrt(11)/5 Simplify (-4 + sqrt(63) + -5*sqrt(2268))**2. 696*sqrt(7) + 52999 Simplify -2 + sqrt(147) + sqrt(3) - 1*sqrt(48). -2 + 4*sqrt(3) Simplify (sqrt(175) + sqrt(175) + 5 + (sqrt(175) - (0 + sqrt(175))) + 3)**2. 160*sqrt(7) + 764 Simplify (sqrt(1377) + -3 + sqrt(1377) - sqrt(17))**2*-2. -9844 + 204*sqrt(17) Simplify (sqrt(187) - (sqrt(187) - sqrt(187)*-2))/sqrt(11) + sqrt(17) + 5. -sqrt(17) + 5 Simplify sqrt(170)/sqrt(250) + 2*(-1 + sqrt(17)) + sqrt(17). -2 + 16*sqrt(17)/5 Simplify (1 + sqrt(175)*-6)**2. -60*sqrt(7) + 6301 Simplify (5*sqrt(136)/(1*sqrt(648)))**2. 425/81 Simplify (sqrt(1300)*-1*1)**2 + (1 + 0 + sqrt(1300))**2. 20*sqrt(13) + 2601 Simplify (sqrt(192)*3)**2 + 4. 1732 Simplify 4*((4*sqrt(34)/sqrt(2))**2 - (1 + sqrt(17))*2). -8*sqrt(17) + 1080 Simplify sqrt(56)/(sqrt(8) + -4*(4*sqrt(8) + sqrt(8)) + sqrt(8)). -sqrt(7)/18 Simplify sqrt(7) - ((sqrt(7) + 1)*-1 + sqrt(7)) - sqrt(448)*6. -47*sqrt(7) + 1 Simplify (sqrt(405) + -1)*-5 + sqrt(405) - 1*(sqrt(405)*-1)**2. -400 - 36*sqrt(5) Simplify (sqrt(55) + sqrt(660)/sqrt(300))/(sqrt(539)*-3). -2*sqrt(5)/35 Simplify sqrt(133)/sqrt(7)*4 + sqrt(19) + (sqrt(171) - -3*sqrt(171) - sqrt(171))/sqrt(9). 8*sqrt(19) Simplify ((sqrt(2673)*3)/(-3*sqrt(275)))**2. 243/25 Simplify sqrt(119)/(sqrt(35)/sqrt(5)) + (sqrt(17) - (4 + 0 + sqrt(17))). -4 + sqrt(17) Simplify sqrt(228)/(-5*sqrt(48)/sqrt(4)). -sqrt(19)/5 Simplify sqrt(77)/(sqrt(7) + sqrt(21)/sqrt(3) + sqrt(7)) + -2. -2 + sqrt(11)/3 Simplify sqrt(153)/(sqrt(900) + 4*sqrt(900)). sqrt(17)/50 Simplify ((sqrt(7) - sqrt(112)) + 4 + sqrt(7) + 2 + -2)**2. -16*sqrt(7) + 44 Simplify 4 + (sqrt(133)/sqrt(7))**2 - (3 + (sqrt(684) - sqrt(19)) + sqrt(19))**2. -670 - 36*sqrt(19) Simplify sqrt(66)/(sqrt(36)/sqrt(6)*-6 + sqrt(6) - sqrt(6)). -sqrt(11)/6 Simplify (sqrt(153) - (sqrt(153) - 6*(sqrt(153) - sqrt(153)*1 - sqrt(153))))/sqrt(9). -6*sqrt(17) Simplify (sqrt(99)/sqrt(3))/sqrt(11) - (sqrt(3) - (-5 + sqrt(6)/sqrt(2))). -5 + sqrt(3) Simplify (sqrt(117)/(sqrt(144) - sqrt(9))*-3 + 5)**2. -10*sqrt(13) + 38 Simplify sqrt(187)/(sqrt(110)/(1*sqrt(10)))*-2. -2*sqrt(17) Simplify (0 + sqrt(7) + -5)*6. -30 + 6*sqrt(7) Simplify ((-2*sqrt(209) + sqrt(209))*3)/(sqrt(11) + sqrt(55)/(sqrt(15)/sqrt(3))). -3*sqrt(19)/2 Simplify (1*sqrt(153)*3 + sqrt(153))/sqrt(9). 4*sqrt(17) Simplify sqrt(189)/(sqrt(35)/sqrt(5)). 3*sqrt(3) Simplify sqrt(20)/(sqrt(576)*1). sqrt(5)/12 Simplify (sqrt(33)/(sqrt(11) - (sqrt(11) + sqrt(132)/sqrt(3))))**2. 3/4 Simplify (-2*sqrt(220)/sqrt(4))/((sqrt(80) - (sqrt(80) - (1*sqrt(80) + sqrt(80))) - sqrt(80)) + sqrt(5)). -2*sqrt(11)/5 Simplify sqrt(91)/((sqrt(231)/sqrt(11))/sqrt(3)). sqrt(13) Simplify sqrt(25)/(-2*sqrt(5)) + -3. -3 - sqrt(5)/2 Simplify -3*(sqrt(225)/sqrt(5) - sqrt(45))/sqrt(9). 0 Simplify (sqrt(143)/((-1*sqrt(66) - sqrt(66))/sqrt(6)) + (sqrt(13) + 0 + -3 - (1 + sqrt(1053))))**2. 68*sqrt(13) + 3821/4 Simplify ((sqrt(2268)*-3 + sqrt(63))/(sqrt(9) - -2*sqrt(9)*6))**2. 2023/169 Simplify 0 + (2*-2*sqrt(110) - sqrt(110))/(2*sqrt(640) + sqrt(640) + sqrt(640)). -5*sqrt(11)/32 Simplify (sqrt(196)/sqrt(7))**2*5. 140 Simplify -2*(sqrt(12) + 0). -4*sqrt(3) Simplify ((sqrt(567) + -1)*-3)**2. -162*sqrt(7) + 5112 Simplify 5*6*(-3 + sqrt(45)). -90 + 90*sqrt(5) Simplify -4*(sqrt(704) + 2*sqrt(704)) + sqrt(704). -88*sqrt(11) Simplify 1 + (sqrt(1900) + -1 + (sqrt(19) - sqrt(57)/(-2*sqrt(3))))**2. -23*sqrt(19) + 10059/4 Simplify -4*(2*sqrt(5)*-4)**2*-3. 3840 Simplify 3*(sqrt(275)*2 - sqrt(275))**2 - -6*(-3 + sqrt(99))**2. -108*sqrt(11) + 1473 Simplify (sqrt(136) - -2*sqrt(136)*1 - sqrt(136))/(sqrt(968) - sqrt(968)*2 - sqrt(8)). -sqrt(17)/6 Simplify (-1*sqrt(30)*-2)/(sqrt(40)/sqrt(4)*-3). -2*sqrt(3)/3 Simplify sqrt(17) + 4*(-1 + sqrt(17))**2 + (1*sqrt(153))**2. -7*sqrt(17) + 225 Simplify (-5*((sqrt(468) - (sqrt(468) + -1))*-1 + -1))**2. 100 Simplify 1 + sqrt(30)/(sqrt(96)*-1). -sqrt(5)/4 + 1 Simplify (2*sqrt(153)*6)/sqrt(9). 12*sqrt(17) Simplify -2*(-2 + -1 + sqrt(76)). -4*sqrt(19) + 6 Simplify ((-1 + (sqrt(98) - sqrt(98)*-1))*3)**2 + 1. -252*sqrt(2) + 3538 Simplify (sqrt(76) - (5 + -1*sqrt(76)) - (sqrt(76) - -3*(1*sqrt(76) - sqrt(76))))**2. -20*sqrt(19) + 101 Simplify ((-1*sqrt(98) + sqrt(98))/sqrt(7))/(5*sqrt(8)). 0 Simplify (-1 + sqrt(5))**2 + 2 + (2*sqrt(5) - sqrt(5)) + 1. -sqrt(5) + 9 Simplify ((sqrt(22)/(-1*sqrt(2) - sqrt(2)) + -2)*5)**2*-6. -2025/2 - 300*sqrt(11) Simplify (sqrt(99)*1*-6 - sqrt(99))/(sqrt(72)/(sqrt(8)*2)). -14*sqrt(11) Simplify (-2*sqrt(72)*-1)**2 + ((-1 + sqrt(72))*3)**2 + 5. -108*sqrt(2) + 950 Simplify -5 + (-1*sqrt(121))/sqrt(11). -5 - sqrt(11) Simplify ((-1*sqrt(2000) + sqrt(2000) - sqrt(2000)) + sqrt(2000))/(sqrt(60)/sqrt(54)). 0 Simplify (2 + (sqrt(7) - -3*sqrt(21)/sqrt(3) - sqrt(7)) + -5)**2. -18*sqrt(7) + 72 Simplify 1*(2 + -1*sqrt(320))**2. -32*sqrt(5) + 324 Simplify (sqrt(128) - ((0 + 1 + sqrt(128))**2 - sqrt(128) - sqrt(128)))*4 + -4. -520 + 32*sqrt(2) Simplify (3*(sqrt(77) - (sqrt(77) + sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77) + (sqrt(77) - 5*-4*sqrt(77))))))/sqrt(11))**2. 27783 Simplify -5*((sqrt(416)*1 + sqrt(416))/sqrt(8))**2. -1040 Simplify -5*(((sqrt(891) + 2*sqrt(891) + sqrt(891) - sqrt(891)) + sqrt(891) + -3)**2 + 0). -71325 + 1080*sqrt(11) Simplify -5 + (2*sqrt(252) - sqrt(7)). -5 + 11*sqrt(7) Simplify 2 + sqrt(1100) - sqrt(11) - (0 + sqrt(11) + -3). 5 + 8*sqrt(11) Simplify 1*(sqrt(56)*2*4)/sqrt(8) + 2. 2 + 8*sqrt(7) Simplify sqrt(30)/(sqrt(150)*-6). -sqrt(5)/30 Simplify ((sqrt(336)*3 + sqrt(21))/sqrt(3))**2. 1183 Simplify -2*-4*(sqrt(2) + sqrt(50) + sqrt(2)). 56*sqrt(2) Simplify ((sqrt(44)/sqrt(4) + 0)*-2 + 5*sqrt(176)*-1)**2. 5324 Simplify -3*(sqrt(242) - sqrt(242)*-1)*-6. 396*sqrt(2) Simplify (4 + 0 + sqrt(637) + 1)**2. 70*sqrt(13) + 662 Simplify sqrt(3)*1 + -5 - (sqrt(3) - 6*sqrt(48)). -5 + 24*sqrt(3) Simplify 5*sqrt(33)/(6*sqrt(44)/sqrt(4)). 5*sqrt(3)/6 Simplify (2*sqrt(95)/(sqrt(10)/sqrt(2)))**2. 76 Simplify (sqrt(175) + -4 + sqrt(175))**2 + (-5*sqrt(567) - sqrt(7)). -126*sqrt(7) + 716 Simplify ((sqrt(448) - ((sqrt(448) - sqrt(448)*1)**2 - sqrt(448)))*6 + 1)*4. 4 + 384*sqrt(7) Simplify ((sqrt(153)*-1)/sqrt(9) + (sqrt(1700) + 1 - sqrt(1700)) + sqrt(17) + -5)**2 + 0. 16 Simplify ((-1 + sqrt(3267) - sqrt(3267)) + 3)**2. 4 Simplify (sqrt(14) + sqrt(28)/(sqrt(6)/sqrt(3)))/((sqrt(54)/sqrt(3))/sqrt(9)). 2*sqrt(7) Simplify (sqrt(6300) - sqrt(6300)*1)*6. 0 Simplify (sqrt(18) + sqrt(648)*2)/(sq
{ "pile_set_name": "DM Mathematics" }
95 - 2/337. Find the common denominator of -81/8 and l. 280 Let z(m) = -2*m + 60. What is the least common multiple of 456 and z(20)? 2280 What is the common denominator of 130/(-98) - (-11 - -9 - -1) and 62/21? 147 Suppose -5*w = -2*t + 55, t + 3*w - 29 = 6*w. What is the lowest common multiple of t and 16? 80 Let z = -4789/5 + 959. What is the common denominator of -59/252 and z? 1260 Let y = 353/4 - 10283/116. Calculate the common denominator of 49/6 and y. 174 Let y(x) = -x + 41. Suppose 0 = -u - 2*c, 4*u - 9 = 3*c + 2. Calculate the smallest common multiple of u and y(33). 8 Let a = 7372/506649 + -2/3543. Let t = 10443/286 - a. What is the common denominator of t and 6? 2 Suppose -14*k = -4*q - 13*k + 2331, 4*q - 2326 = 2*k. What is the smallest common multiple of 22 and q? 6424 Let a(k) = -8*k**3 + 3*k**2 - 7*k - 1. Calculate the smallest common multiple of 2 and a(-2). 178 Suppose -2*z = 3*x - 35, 5*z - 45 = 2*z + 3*x. Let v(f) = -f**2 + 18*f - 5. Let r be v(19). Let p = 34 + r. Calculate the smallest common multiple of z and p. 80 Find the common denominator of -13/42 and ((-1370)/(-300))/((-42)/15). 84 Let b = 4142 + -29047/7. What is the common denominator of b and 17/31? 217 Let l(i) = -85*i**2 - 6*i - 7. Let m be l(6). Let h = m - -27877/9. What is the common denominator of -163/66 and h? 198 Let s(v) = -v**2 + 7*v - 3. Let o be s(6). What is the common denominator of 6 + -1 + 1184/448 and ((-522)/16)/o + 1? 56 Suppose 3*j + 14 = -2*z, 0*z - 4*z - 16 = 0. Let g = j - -12. What is the common denominator of 83/8 and 370/24 - (-7 + g)? 24 Calculate the least common multiple of 96 and -9 + 3178/18 + (-12)/(-27). 672 Suppose -2*s + 2*o + 9 - 3 = 0, -5*s - o = -3. Let m be (4*s)/(-198 - -1). Let x = 15941/788 - m. What is the common denominator of x and 99/4? 4 Calculate the common denominator of (-24)/(-120)*73/12 and -79/102. 1020 Suppose -5*x - 5028 = -3*p + 3637, -4*p + 1750 = -x. Let l = -19017/11 - x. Find the common denominator of l and 43/30. 330 Suppose -60 = -l - 2*l. Suppose -2*v = -3*p + 10, -4*v + 0*v - 4*p - l = 0. Calculate the common denominator of ((-2)/v)/((-24)/582) and 50/17. 170 Suppose 134*b - 133*b + 32 = 4*g, 3*g + 5*b = 47. Let t = 8 + -3. What is the smallest common multiple of g and t? 45 Let l = 9 - -1. Let u(z) = 2*z - 12. Let d be u(l). Calculate the least common multiple of 64/12*12/d and 8. 8 Let o be 6 - 4*3/6. Suppose i - 4*c = 4, 0 = -5*i + o*i - 4*c + 20. Suppose -t + i + 6 = 0. What is the lowest common multiple of 10 and t? 90 Let y = -1298664/1013 + 1282. Find the common denominator of 7/8 and y. 8104 Suppose 0 = -5*i - 5*z + 43 + 47, -z - 62 = -4*i. Let a be (-4)/i*(-4124)/12. Let w = a + -85. Find the common denominator of -19/20 and w. 60 Let f = 9294 - 223117/24. Find the common denominator of f and 262/(-12) + 4/6. 24 Let i = -832428/85 + 9793. Calculate the common denominator of i and -103/68. 340 Let d be 3/(-4) + (63/(-12) - -1). Find the common denominator of (-3 + 1347/(-6))*1/d and 41/5. 10 Suppose -3*j + 1025 = 4*o, 26 = -2*o - 4*j + 526. What is the smallest common multiple of 7 and o? 1820 Let s = 9083 + -108845/12. Let u = -97732327 - -3908847889/40. Let k = u - -11128. Calculate the common denominator of k and s. 120 Let r = -61489/21 + 2929. Calculate the common denominator of 16/489 and r. 3423 Let o = -1343/20 - -67. Let i = -152881/44535 - 3/5938. Find the common denominator of i and o. 60 Let n = 27 + -27. Suppose -2*t - 4*t + 48 = n. Let i = 16 - t. What is the lowest common multiple of i and 9? 72 Let d = 120 + -117. Calculate the lowest common multiple of 8 and d. 24 Let g(c) = c + 8. Let l be g(-5). Calculate the common denominator of 37/8 and 71/(-36)*(-6)/l. 72 Find the common denominator of -107/18 and ((-774)/(-1620))/((-2)/(-6)). 90 Let i = 131 - 314. What is the common denominator of ((-1)/(-3))/(8/(-300)) and (i/(-12))/1 + -1? 4 Suppose -2*y + 3*t = -t + 32, 28 = -4*y - 4*t. Calculate the common denominator of (-9)/(-54)*-1*642/y and -1 - (-1 - (-42)/(-4)). 10 Let f(c) = 15*c - 33. Let y be f(3). Calculate the lowest common multiple of (-64)/(-3) - (-8)/y and 67/3 - (-1)/(-3). 22 Let j = 7 - 11. Let w = 30291/238 - 2296/17. Find the common denominator of j/(16/(-63)) + -3 and w. 28 What is the common denominator of -93/92 and 56/(-10752)*-3*1? 1472 Suppose -5*n + b = 5*b - 156, 0 = n - b - 33. Let y = 396 - 391. Find the common denominator of 2/n*(y - -153) and -51/8. 8 Let w = 2/2655 + 38053/2655. Let v = 826234 - 11576547/14. Let n = v - -666. Find the common denominator of n and w. 42 Suppose 3*b - 72 = -18. Suppose -2*m + 4 = -b. What is the smallest common multiple of m and (-12)/(-7) + (-12)/(-42)? 22 Let u = -923291 - -203123399/220. Let t = u + -890471/1980. Let f = t + 460. What is the common denominator of f and 103/6? 18 Suppose -5*n + 35 = -5*y, 2*n = 3*y - 0*n + 25. Let s(v) = v**2 + 8*v - 2. Find the common denominator of s(y) and 42/4*(-162)/(-42). 2 Let b(m) = 4*m - 5. Let k be b(-7). Let o be ((-10079)/k)/((-2)/6). Let g = o + 918. Find the common denominator of g and 97/6. 66 Suppose -9*q + 148 + 230 = 0. Let a = -33 + q. What is the lowest common multiple of a and 34? 306 Let i = 162023/41058 + -4/2281. Calculate the common denominator of 56/153 and i. 306 Suppose -5*a = w + 3945, -8*a + 5*a - w = 2369. Let j be 2/(-9) + (-56639)/72. Let z = j - a. Find the common denominator of z and 48/11. 88 Suppose -3*a + 2*q = -227 - 575, -4*a + 1066 = -2*q. Calculate the smallest common multiple of a and 96. 1056 Let h = -131672/21 - -6268. Calculate the common denominator of h and (-83)/5*20/(-48). 84 What is the common denominator of (-4)/10 - 1674/180 and 29/39? 390 Let l be (-4)/6 + 34/6. Suppose -l*d = 1 - 11. What is the smallest common multiple of d and 18 - (1 - 1) - -2? 20 Calculate the smallest common multiple of (-10)/(-3) + (-240)/(-144) - -4 and 99. 99 Let h = 60 - 85. Calculate the lowest common multiple of 14 and 309/15 + 15/h. 140 Let a = 49245 - 8420932/171. What is the common denominator of a and -19/2? 342 Let j = 0 - -2. Suppose 4*u - 8 = 2*x + 104, 48 = j*u - 3*x. Let r = u + -16. Calculate the lowest common multiple of 10 and r. 70 Let p = -6769/1140 - 188/95. Find the common denominator of -83/232 and p. 696 Let l be (1 + (-35710)/(-108))/((-31)/(-2139)). Let i = l + -22877. Calculate the common denominator of 103/52 and i. 468 Suppose 44 = -0*s - 2*s. Let j be (s - -1)*(-12392)/264. Let c = -985 + j. Find the common denominator of 23/6 and c. 66 Let w be (-465)/(-3) + -3 + -1 + 7. What is the least common multiple of 26/(-91) - w/(-14) and 1? 11 Suppose 4*o - 2 = 26. Suppose -7*k - 13 = -69. Calculate the least common multiple of o and k. 56 Let y be (538/3472)/1 + -1. Let o be 6/10*(2 - 4509/2232). Let k = o + y. Find the common denominator of k and -61/10. 70 Let s be 2918/(-310) + (-6)/30. Let c = s - -1871/372. Find the common denominator of -41/16 and c. 48 Let l = 51 - 40. Calculate the lowest common multiple of 18 and (-10816)/(-234) + l/(-9) + 1. 414 Let x be 20 - ((-2)/7 - 207/(-63)). Suppose -2*v = -2*m + 34, 3*m + v - x = 38. Calculate the smallest common multiple of m and 21. 126 Let v = 4297/45 - 493/5. Calculate the common denominator of v and 4/14 - (-410)/(-112). 72 Let r be (710/(-8) - -1)/((-84)/224). What is the common denominator of r/135*9/(-8) and 83/34? 340 Let w(f) = 47*f - 1539. Calculate the lowest common multiple of (-3)/2*16/(-6) and w(33). 12 Suppose -2*t = -3*q + 4, 2*q + 15 = 7*q + 5*t. Calculate the least common multiple of 372 and q. 372 Let g = 54 + -45. Let q(f) = f**2 - 10*f + 13. What is the least common multiple of q(g) and 16? 16 Suppose -1 = -2*r - 7. Find the common denominator of -22/9 and 0 - r/((-18)/(-128)). 9 Let y be (12 - -126)*2/4. Find the common denominator of (y/(-14))/(-3)*2/(-2) and 69/38. 266 Let u = 34811/6 + -5816. Calculate the common denominator of 97/180 and u. 180 Let h = -193/54 + 109/27. Calculate the common denominator of -99/8 and h. 216 Let w = -4 + 20. Let s(l) = 3*l**3 + 43*l**2 + 12*l - 20. Calculate the lowest common multiple of s(-14) and w. 16 Calculate the common denominator of ((-138)/(-115))/(4/35) and 101/24. 24 Suppose -16*v = -v + 30. Calculate the common
{ "pile_set_name": "DM Mathematics" }
et s be (-2)/(-5) - (-1)/5. Let i = 15310.08 - 15310. What is the nearest to -1 in -3/5, i, s, 5? -3/5 Let v be -2 + -1*6/(-4). Suppose 8*n + 1 - 49 - 24 = 0. Let s = 6.3 + -6. Which is the closest to n? (a) v (b) -0.1 (c) s c Let z = -2/5461 - -5465/10922. What is the closest to 1/3 in z, 4, -18, 21? z Let t = -0.3754 - -0.3754. What is the closest to -0.1 in t, 5, -6, 11? t Suppose -12*h + 8*h + 208 = 0. Let y be 1 - (h/10 + -4). Let d = -17.8 - -18. Which is the closest to 2? (a) y (b) -4 (c) d c Let h = -264.03 + 264.1. Let r = 81 - 75. What is the nearest to -0.1 in h, 1, -2/15, r? -2/15 Let f = -5 - -4.97. Let b = 0.17 - f. Let h = -11794 - -11794.03. What is the nearest to 1 in -3, h, b? b Let p = 368 - 3311/9. Let x = 7 - 13/2. Let z = 9 - 12. What is the nearest to -0.2 in p, x, z? p Let q(t) = 11*t - 19. Let m be q(2). Let h be m/4 - (203/28 - 7). Suppose -4*o = -0*o - 8. What is the closest to -5 in o, h, -4? -4 Let n be (-14)/6 - (-8)/12. Let z = 0.0342 - -224.9658. Let b = z - 226. What is the closest to 7 in b, 0.1, n? 0.1 Let p = 3/379 + 695/7959. Let o be 2/(-6)*(-15)/40. Let x = -0.21 + -0.09. Which is the closest to -3/2? (a) o (b) x (c) p b Let j = 37.74 - 42.74. Which is the nearest to j? (a) 7 (b) 2/15 (c) -0.7 c Let i = -2.587 + 2.187. Let k = 287 + -286. Which is the closest to k? (a) 1/4 (b) i (c) 12 (d) -1 a Let x(r) = r**2 - 53*r + 394. Let w be x(52). What is the nearest to 0.1 in -0.3, 2, w? -0.3 Let f = 3.5 - 4.5. Let v = -1 - -1. Let x = -2616 + 2620. Which is the nearest to v? (a) 2/9 (b) x (c) f a Let k = -72.1 - -72. Let p = -457 - -460. Which is the closest to k? (a) 1 (b) 0.5 (c) p b Let i be 3/(-15) - (-92)/160. Let v be (-1 + 5)*3/6. Suppose -o - 3 = v*o. Which is the nearest to 0? (a) i (b) 0.1 (c) o b Let q = -20324/33865 + 1/6773. What is the nearest to -2 in 11, 1, q? q Let s = 12.3 + -2.3. Let u be (39/(-6) + 3)*(-6)/(-28). Let g = -171/35 + 30/7. Which is the nearest to s? (a) 1 (b) g (c) u a Let m = -395618/3 + 131872. Let o be 21/10 + 2/2. Let t = 733/230 - o. Which is the closest to m? (a) -13 (b) t (c) 0.5 b Let h = 16171/72 + -2021/9. Which is the nearest to -0.2? (a) -0.3 (b) h (c) 2/19 (d) -0.4 a Let m = -21205.03 + 21205. Let g = -4/27 + -73/54. What is the nearest to 1/3 in m, g, -2? m Let r = -0.587 + -0.413. Suppose 3*c + 28 = -3*q - c, 2*c = -3*q - 32. Let l be 4 + -3 - (-15)/q. What is the nearest to l in 7, -5, r? r Let b = -0.409 - -434.409. Let s = b + -435. What is the nearest to 0.1 in s, 0, 2/17? 2/17 Let s = -3.1 + 3. Let x be 4*(-4 + 2/((-10)/(-21))). Let i be 3/1 + 21/(-9). Which is the nearest to i? (a) s (b) -5 (c) x c Let w be (-106)/(-265) - 7/(245/24). Let v(i) = i**3 + 4*i**2 - 3*i + 9. Let q be v(-5). Which is the nearest to 0? (a) q (b) 0.4 (c) w c Suppose -11*t = 39 - 61. Let n = -0.36 - 0.04. What is the nearest to 2/3 in t, n, -0.5? n Let y(m) be the third derivative of 5*m**4/12 - 50*m**3/3 - 5*m**2. Let k be y(10). Which is the closest to 4? (a) k (b) -1/11 (c) 3/7 c Let d = 111 - 111. Let j = 106 + -110. Which is the closest to 2? (a) d (b) j (c) -3/31 a Let l = 0.071 - 0.771. Let o = 0.2 + l. What is the nearest to -0.1 in o, -16/9, 1? o Let t = 2.551 - 2.68. Let k = -0.13 - t. Let w = k + 0.201. Which is the closest to 0.2? (a) w (b) -1/6 (c) 7 a Let o = -0.2 - 0. Let h be 2163/(-3605)*(-2)/(-3). Which is the nearest to h? (a) o (b) 2/9 (c) 3 a Let q = 0.39 - 1.39. Let z = -0.215 + 0.115. Suppose 10 = -2*k + j, 3*j + 7 = -5*k - 7. What is the nearest to z in q, k, -2/3? -2/3 Let z = -1161 + 769. Let r be (-1736)/z + 4/7. Let s be 1/(-2 - -5)*-3. Which is the closest to s? (a) r (b) 0.4 (c) -1/4 c Let q = 0.28 - 0.17. Let z = -0.12 + q. Let w = z - -2.01. What is the closest to -2 in -3, w, -0.2? -3 Suppose -12 + 137 = 25*f. Which is the closest to -2? (a) 2/3 (b) f (c) 29.1 a Let p = 4.73 + 389.27. Let m = p - 395. What is the nearest to 0.33 in 0, m, 0.2, 0.5? 0.2 Let t = 433 + -437. Let k be 192/72*(-3)/(-18). Which is the closest to 2? (a) t (b) 0.5 (c) k (d) 3 d Suppose 0 = -3*g + 9*k - 3*k - 15, -g = 2*k - 11. What is the nearest to 14/9 in 0.5, g, -1/5, -1? 0.5 Suppose 4 = 3*w - 23. Let k = 3055 + -3054.5. What is the closest to w in k, 6/11, 5? 5 Let u = -106436/221 + 8190/17. Let l be (3 - 0) + 1 + -3. Which is the nearest to 1? (a) u (b) l (c) -5 (d) 2/3 b Let b = 349 + -354. Let c = -429 + 430. What is the closest to c in b, -2/9, 2? 2 Let l = 8666 + -8661. Which is the nearest to 572? (a) -0.5 (b) -2/23 (c) l c Let n = -1007.4 - -1007.8. Let r be (4/(-2))/(6/(-15)). Which is the closest to 0.25? (a) 3/5 (b) -4 (c) r (d) n d Let h = 222 + -217. Let o = -8 + h. Which is the nearest to -1/5? (a) o (b) -2 (c) -17 b Let l = -0.1862 + 0.1862. Which is the nearest to l? (a) 2/7 (b) 1 (c) 1.4 a Let d(v) = 10*v - 103. Let i be d(10). Let h be (140/15 + -5 + i)/(-10). Let g = -0.98 + 1. What is the nearest to 0.2 in -0.1, g, h? g Let p = 81.7 - 98. Let s = p - -16.36. Which is the nearest to 0? (a) 2 (b) s (c) -5 b Suppose 59*y + 268 = 10*y - 85*y. Which is the nearest to -16/15? (a) -4 (b) 0.4 (c) 7 (d) y d Let m = 449/8 + -56. Let h = 14.4522 - 14.6522. What is the closest to 1/5 in h, 13, m, 2/7? m Let n be ((-110)/(-54) - 2)*-3. Let t be (-2)/(-6) + -2 + 0. Let y = 2 + t. What is the nearest to y in 10/3, n, -0.5? n Let f = -0.3 - -0.2. Let o(g) = -192*g - 15. Let l be o(-1). Let q = -1946/11 + l. Which is the closest to -1? (a) f (b) 0 (c) q a Let n = 881513/1028 - 3/1028. Let h = 922 - n. Let v = h - 63. Which is the closest to 1/3? (a) 4 (b) v (c) 5 b Let h = 16283.9 - 16284. Which is the nearest to 0.1? (a) h (b) -5 (c) -1/4 (d) 0.07 d Let j(x) = x**2 + 40*x + 379. Let r be j(-25). What is the nearest to 36/7 in 0.1, r, -1/7, 3/7? r Let r be (-47 + 54)*(-28)/2. Suppose -381 = -4*m + 3*t, -4*m - t = 3*t - 388. Let c = r + m. What is the closest to 0.3 in 0, c, 4? 0 Let l = -2 - 170. Let p = 171.4 + l. What is the closest to -1 in 0.05, -1, p? -1 Let l = 1 + -1. Let t = 5.26284 - 0.26284. Which is the nearest to 0? (a) 2 (b) l (c) t b Let j = -2.1 + 8.25. Let o = -6.1 + j. Which is the closest to -2? (a) -0.2 (b) 0 (c) o a Let v = 2442 + -2441. What is the nearest to -1 in v, -0.038, -2? -0.038 Let v be 54/(-90) + -4 + 665/150. Which is the closest to v? (a) 4 (b) 1 (c) 50 (d) -0.4 d Let s = -427.8 + 431.8. What is the nearest to 0.18 in 1/10, -1/4, s? 1/10 Let m = -140 - -135. What is the closest to 2/5 in -0.2, 5, -16, m? -0.2 Let r = 43 + -28. Suppose 3*o - 4*v = 10, -7 = o + 5*v + r. Let q = 10232 - 10229. Which is the closest to o? (a) q (b) 5/4 (c) -0.4 c Let r = 7317 - 7174. What is the closest to 0.1 in 2/5, -2, 0.3, r? 0.3 Let a = 4 - 8. Let o = -353620 + 353650. Let v = 0.3 + -1.3. What is the nearest to v in 0.3, a, o? 0.3 Let p = 636 + -1060. Let s = -424 - p. Which is the nearest to s? (a) -5 (b) 1 (c) 5/4 b Let q = -45384 + 45387. Let k = -8 + 4. What is the closest to -4/5 in k, q, 4? k Let i = -1375 - -1375.07. What is the closest to -1 in 5, i, 3/2? i Let n = 68047 + -68046. Suppose 2*h = -2*h + t - 30, 0 = 4*h - 2*t + 32. Which is the nearest to 0.1? (a) -2/13 (b) h (c) n a Let z = 23/3 - 25/3. Suppose -5*r = -w - 11 - 0, 0 = 7*r + 4*w - 10. What is the nearest to -16/5 in z, r, -1/2? z Let u = -108 - -861/8. Let b be (15/4)/5*4. Let j = 4.74 + -4.87. What is the nearest to j in 2/11, b, u? u Let h = 935 + -935.02. What is the closest to -0.1 in 0, h, -3/2? h Let d = -588/5 + 117. Let c be (-3)/(-9) - (-29)/(-33). Let y be (69/(-21) - -2)/(5 + -8). What is the closest to y in d, c, -0.2? -0.2 Let n be 9/(11*39/143). Let r = -2036/9 - -226. Which is the nearest to -0.1? (a) 0.02 (b) n (c) r a Suppose 2*i - 4 = -4*r, -5*r - 48*i + 47*i = -14. Which is the nearest to 0.2? (a) -0.02 (b) 5 (c) r (d) 0.2 d Let f = -9.97 + 5.97. Let y = -0.1 + 0.2. Which is the closest to y? (a) 4 (b) f (c) -0.2 c Let j = -0.234 + -63.766. Let p = j + 61. Let v be (-17)/4 + ((-10)/(-8) - 1). Which is the nearest to -0.6? (a) -0.3 (b) v (c) p a Let n = 4597/552 - 83/69. Let t = 61/8 - n. What is the closest to -1 in 6/13, 2, t, -1/3
{ "pile_set_name": "DM Mathematics" }
hhuhuau. 14/323 Three letters picked without replacement from {s: 14, k: 4}. What is prob of picking 2 k and 1 s? 7/68 Four letters picked without replacement from {w: 3, z: 4, k: 2, e: 1, l: 4, t: 1}. What is prob of picking 2 w, 1 t, and 1 l? 4/455 Four letters picked without replacement from nxninnnyyt. What is prob of picking 1 x, 1 y, 1 t, and 1 i? 1/105 Two letters picked without replacement from {q: 6, x: 1, c: 4, a: 6}. Give prob of picking 1 c and 1 x. 1/34 Three letters picked without replacement from rrkkrkrkrgkkrrkkkkk. Give prob of picking 1 g and 2 r. 7/323 Two letters picked without replacement from qtqkfk. What is prob of picking 1 t and 1 k? 2/15 What is prob of picking 2 y when two letters picked without replacement from {n: 3, z: 5, y: 2}? 1/45 Calculate prob of picking 1 b, 1 i, and 1 c when three letters picked without replacement from {v: 6, s: 1, i: 2, b: 3, c: 4}. 3/70 Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {q: 3, n: 13, j: 3}. 13/57 Two letters picked without replacement from {j: 9, a: 11}. What is prob of picking 2 a? 11/38 Calculate prob of picking 4 r when four letters picked without replacement from {p: 1, g: 2, r: 4}. 1/35 Calculate prob of picking 2 y when two letters picked without replacement from kkeyejkkekkkkkkeeyk. 1/171 Four letters picked without replacement from hhhzzzzhzz. Give prob of picking 1 z and 3 h. 4/35 Four letters picked without replacement from {i: 1, h: 2, v: 1, p: 1, z: 4}. What is prob of picking 1 i, 1 p, and 2 h? 1/126 Calculate prob of picking 2 v when two letters picked without replacement from vhhhhhhvhhhhhhhhhhh. 1/171 Four letters picked without replacement from vvgttgiiviitovvi. What is prob of picking 3 v and 1 g? 1/91 Two letters picked without replacement from {r: 1, m: 2, f: 2, k: 1, l: 1}. What is prob of picking 1 f and 1 r? 2/21 Two letters picked without replacement from {k: 2, y: 1, n: 10, o: 4}. What is prob of picking 1 y and 1 n? 5/68 Calculate prob of picking 3 c and 1 o when four letters picked without replacement from {c: 9, l: 8, o: 1, e: 1, z: 1}. 28/1615 Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {g: 11, h: 1}. 1/6 Calculate prob of picking 2 d and 1 i when three letters picked without replacement from {d: 4, i: 3, a: 2, l: 1}. 3/20 What is prob of picking 1 y and 1 d when two letters picked without replacement from yyydydyddydy? 35/66 Calculate prob of picking 2 u when two letters picked without replacement from uoooooruuuuuuuo. 4/15 What is prob of picking 1 z and 2 b when three letters picked without replacement from bzbbhhzh? 3/28 Two letters picked without replacement from {y: 3, e: 2, u: 5, i: 6, x: 2}. What is prob of picking 1 e and 1 i? 4/51 Calculate prob of picking 2 u when two letters picked without replacement from vozvufv. 0 Three letters picked without replacement from {x: 4, l: 14}. What is prob of picking 1 l and 2 x? 7/68 Calculate prob of picking 2 r and 1 q when three letters picked without replacement from rqrr. 3/4 Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {r: 1, d: 1, a: 5, m: 9, o: 1}. 9/136 What is prob of picking 4 a when four letters picked without replacement from {e: 7, z: 2, a: 4}? 1/715 Four letters picked without replacement from {r: 4, h: 4, i: 4, g: 2, o: 4, z: 1}. What is prob of picking 1 h, 1 i, and 2 g? 4/969 Three letters picked without replacement from {k: 1, w: 1, l: 2, g: 2, m: 2}. What is prob of picking 2 g and 1 k? 1/56 Calculate prob of picking 2 j and 1 k when three letters picked without replacement from mkjfjjkkjbkk. 3/22 Calculate prob of picking 2 d when two letters picked without replacement from {j: 1, d: 4, u: 2}. 2/7 Two letters picked without replacement from uuyyryyuya. Give prob of picking 1 u and 1 r. 1/15 Four letters picked without replacement from rhhhhhrrhrhrhrvrvr. Give prob of picking 2 v and 2 r. 7/765 Calculate prob of picking 2 t and 1 z when three letters picked without replacement from ztttvtztvvttvvv. 6/65 Calculate prob of picking 2 t and 1 i when three letters picked without replacement from itnait. 1/10 Four letters picked without replacement from {a: 2, n: 2, c: 4}. Give prob of picking 2 n and 2 c. 3/35 What is prob of picking 1 w and 1 i when two letters picked without replacement from {i: 1, z: 1, x: 2, w: 1}? 1/10 Two letters picked without replacement from {u: 2, l: 9, z: 8}. What is prob of picking 1 l and 1 u? 2/19 What is prob of picking 1 v and 1 p when two letters picked without replacement from vvvvvvvppp? 7/15 What is prob of picking 1 q and 1 h when two letters picked without replacement from {q: 2, i: 1, p: 2, h: 3, z: 6, l: 1}? 2/35 Calculate prob of picking 1 c and 2 f when three letters picked without replacement from {c: 2, a: 1, p: 1, f: 5, l: 1}. 1/6 Two letters picked without replacement from {a: 3, n: 2}. What is prob of picking 2 a? 3/10 Calculate prob of picking 1 m, 1 h, and 1 l when three letters picked without replacement from mmhljmhjhgjhgmt. 16/455 Four letters picked without replacement from {c: 7, h: 7}. What is prob of picking 4 h? 5/143 Two letters picked without replacement from {j: 2, o: 1, i: 1, a: 1, x: 2, e: 2}. Give prob of picking 1 i and 1 o. 1/36 Four letters picked without replacement from sssggsgssssssgsssssg. Give prob of picking 4 s. 91/323 Four letters picked without replacement from qvveitqf. What is prob of picking 1 q, 1 v, 1 f, and 1 t? 2/35 Two letters picked without replacement from {u: 9, e: 11}. What is prob of picking 1 e and 1 u? 99/190 Calculate prob of picking 2 m and 1 s when three letters picked without replacement from mmeemsem. 3/28 Calculate prob of picking 1 e and 1 y when two letters picked without replacement from bbxiyebbbxixybbyyx. 4/153 Calculate prob of picking 1 v and 1 z when two letters picked without replacement from zdvml. 1/10 Calculate prob of picking 1 e and 2 h when three letters picked without replacement from {e: 2, h: 2}. 1/2 Calculate prob of picking 2 i when two letters picked without replacement from {k: 11, i: 2}. 1/78 What is prob of picking 1 r, 1 o, and 1 d when three letters picked without replacement from wodrt? 1/10 Two letters picked without replacement from {a: 1, r: 2, m: 1, k: 3, q: 5, n: 3}. What is prob of picking 2 r? 1/105 Two letters picked without replacement from uuuuu. Give prob of picking 2 u. 1 Three letters picked without replacement from {z: 4, m: 3}. What is prob of picking 3 m? 1/35 Calculate prob of picking 1 i and 2 p when three letters picked without replacement from {i: 1, p: 3}. 3/4 Four letters picked without replacement from skskkbsbbksbsbss. Give prob of picking 2 b and 2 k. 3/91 Calculate prob of picking 1 k and 1 n when two letters picked without replacement from kyniiiy. 1/21 Two letters picked without replacement from ppzzzgzzeppzepzep. What is prob of picking 2 z? 21/136 Two letters picked without replacement from {b: 1, w: 3}. Give prob of picking 2 w. 1/2 Calculate prob of picking 2 g when two letters picked without replacement from grrgrggrrrrrrr. 6/91 Calculate prob of picking 2 a when two letters picked without replacement from {s: 1, l: 3, z: 1, r: 3, a: 3}. 3/55 Four letters picked without replacement from {u: 1, h: 1, x: 1, s: 2, l: 1, a: 1}. What is prob of picking 1 l, 2 x, and 1 s? 0 Two letters picked without replacement from {h: 7, w: 2, u: 6}. Give prob of picking 1 u and 1 w. 4/35 Two letters picked without replacement from icrllocrlvr. What is prob of picking 1 v and 1 r? 3/55 Three letters picked without replacement from {i: 7, d: 2, t: 3, r: 5, q: 3}. Give prob of picking 1 i, 1 d, and 1 t. 7/190 Two letters picked without replacement from rllpylnpyllyzp. Give prob of picking 1 r and 1 y. 3/91 Two letters picked without replacement from {e: 1, k: 6, t: 1, y: 2, q: 8, a: 2}. What is prob of picking 1 a and 1 e? 1/95 Calculate prob of picking 1 d and 1 p when two letters picked without replacement from pdpdddd. 10/21 What is prob of picking 1 x and 1 s when two letters picked without replacement from hsjlxxsl? 1/7 Two letters picked without replacement from mimmigagmmmgt. Give prob of picking 1 i and 1 g. 1/13 Calc
{ "pile_set_name": "DM Mathematics" }
= 0, -q - 23 = 8*w - 4*w for w. -7 Solve 2*g + 101 = 3*u, -88*u + 31 = -87*u + 2*g for u. 33 Solve 86*b - 5*n - 34 = 84*b, -4*b = -n - 14 for b. 2 Solve -111 = -34*q + 53*q - 4*g, 5*g = 20 for q. -5 Solve 2*d = 18, -15*t - 12*t + 2*d = -26*t + 20 for t. -2 Solve -4*n + v = 23, 3*v + 875 - 859 = -5*n for n. -5 Solve -37 + 4 = 3*c + 6*l, 0 = 5*c - 5*l - 35 for c. 1 Solve -37*i + 5*z - 23 = -41*i, 2*z - 14 = 0 for i. -3 Solve 100*v - 3 = 103*v + r, 5*v + 7 = -2*r for v. 1 Solve 0 = -h - 3*b + 10, -26*h - 5*b = 20 - 61 for h. 1 Solve 0 = -4*a + 4*l + 40, 4*l - 8 = 18*a - 22*a for a. 6 Solve -4*z + 5*f = f, z = -z - 127*f + 122*f for z. 0 Solve -4*u + 44 = 8*o, 121*u - 5 = -118*u + 240*u - 2*o for u. 3 Solve -12 = -0*r + 5*r + 2*j, -4*r - 16 = 8*j for r. -2 Solve 6*o = 2*w - 56, -1990*w + 1986*w - 2*o = -112 for w. 28 Solve -1 = -q - 5*m, 4*q + 17 = 237*m - 236*m for q. -4 Solve -v - c = 3*v - 20, -137 - 137 = 9*c - 310 for v. 4 Solve 4*m - q + 156 = 147, -2*m = q + 3 for m. -2 Solve -4*s - 42 = 5*z, 18*s - 16*s = -7*z - 48 for z. -6 Solve 25 = -2*w + 5*z, 0 = -5*w + 5*z + 138 - 163 for w. 0 Solve 15 = -5*n, 5784*x - 5785*x - 7 = 3*n for x. 2 Solve -5*i + 5*j + 137 = 92, 0 = -5*i - j + 51 for i. 10 Solve 5*g - 4*t = -20, 5*g - 47*t - 20 = -51*t for g. 0 Solve -595 = -2*k - 28*s - 473, -17 = -5*k + 2*s for k. 5 Solve -3*p = -4*d + 6 + 26, 8*d - 92 = -p for d. 11 Solve -3*t + 5*z = -79 + 125, 2*z = -5*t + 37 for t. 3 Solve 210*x + 11 = -2*q + 205*x, -5*q + 2*x - 71 = 0 for q. -13 Solve 3*l + 40 - 20 = 4*a, 0 = 5*a - 6*l - 25 for a. 5 Solve b = 30*c + 34, 2*c + 2*b - 22 = -16 for c. -1 Solve 5*q = -k + 17, -482*k + 20*q = -485*k + 71 for k. -3 Solve 4*w = 3*y - 56, -2*w - 4*y - 22*y - 2*y + 326 = 0 for w. -5 Solve 44*h - 8 = 43*h + 4*r, -2*h + 14*r + 22 = 0 for h. 4 Solve -50 = 5*x - 5*b, -13*x + 9*b - 4*b = 90 for x. -5 Solve 45 = 3*h, 13*y + h - 12 = 18*y + 13 for y. -2 Solve 5*n = -s - 758 + 743, 2*s + 24 = -4*n for n. -1 Solve -4*t - 177*z = -175*z - 44, z = -5*t + 31 for t. 3 Solve -3*t + 3*x - 75 = 0, 2*t + t - 4*x = -78 for t. -22 Solve 4*f - 10 = 3*g, 0 = -37975*f + 37973*f + g + 4 for f. 1 Solve 4*l + 4*p - 4 = 0, -392*l + 397*l + p = -11 for l. -3 Solve 5488*x - 5486*x + 2*d + 0*d - 10 = 0, x - 1 = -3*d for x. 7 Solve -21*t - 4*a + 219 = 59, -3*t = -2*a - 28 for t. 8 Solve 4*j - 44 = 4*c, 2*j - 37*c = -39*c - 30 for j. -2 Solve -4*d + 3 = -7*d - l, -3*l = -4*d - 30 for d. -3 Solve -5*j - 87*f - 85 = -92*f, -4*j + 8*f - 124 = 0 for j. -3 Solve i - 2*j - 8 = 0, 662*i - 19 = 660*i + 3*j for i. 14 Solve 20 = -2*p - 2*u, 0 = 3*p - 778*u + 756*u + 155 for p. -15 Solve -5*p + 27 = -4*j, -9844*j - 21 = -p - 9851*j for p. 7 Solve 2*z + 1198*v = 1199*v - 2, 0 = -z + 5*v - 19 for z. 1 Solve 12*t + 5*l - 41 = 10*t + 6*t, 2*t + 13*l = -5 for t. -9 Solve -5*z - 2*h = 16, h - 10 = 3*z + 2*h for z. -4 Solve -4*x = -4*h - 28, -4*x = -10*x - h + 28 for x. 5 Solve -5*h + 163*f = 166*f + 31, 0 = -4*h - 2*f - 24 for h. -5 Solve x + p = -8 + 34, 3*p - 48 = 3*x for x. 5 Solve 0 = -3*n + 30*v - 29*v + 3, 2*v + 1 = 5*n for n. 5 Solve 0 = -3*o + a - 12, 4*o + 4*o = 8*o - 5*a for o. -4 Solve -13829*n + 13834*n + 2*j + 14 = 0, 0 = 3*j + 6 for n. -2 Solve 6*y = 4*n + 361 - 329, 5 = -3*n - 5*y for n. -5 Solve -3*h - 279*w + 277*w - 8 = 0, 2*h = 2*w - 2 for h. -2 Solve -3251*w = u - 3249*w - 4, 0 = -2*u - 11*w + 36 for u. -4 Solve i + 5*k + 34 = 0, 3*k + 9911 - 9893 = 0 for i. -4 Solve 551 = 5*h - 4*w + 534, 5*h + w - 27 = 0 for h. 5 Solve -23*a = -26*a - 3*y - 12, 0 = 5*a - 5*y + 10 for a. -3 Solve -3*c = 2*g + 16, 3*c + 85*g + 13 = 80*g for c. -6 Solve 2*f = -107*c + 105*c - 4, -5*c + 6 = f for c. 2 Solve 0 = -5*v - 91 + 116, 0 = -n - v + 6 for n. 1 Solve 2*z - 1 = m, -11*z = 119 - 130 for m. 1 Solve -2173 + 2181 = -3*q + 2*b, q - 4*b = 4 for q. -4 Solve -5*j + 8 + 2 = 0, 7*j - 4 = -3*c + 5*c for c. 5 Solve -2*s + 54*i = 49*i + 13, -6*s - 109 = -i for s. -19 Solve -936*p - 12 = -939*p, 2*a + 54 = 2*p for a. -23 Solve 5*n - 14 = -14*h, -3*n - 8*h = -10*h + 2 for n. 0 Solve 17628*l = 3*n + 17626*l - 12, 16 = 4*n + 2*l for n. 4 Solve 4*h = 3*o + 17, -h + 664*o - 13 = 669*o for h. 2 Solve 4*a - 4*x + 0 + 32 = 0, -3*x + 14 = -a for a. -5 Solve -g = -4*s - s + 28, 3*g - 2*s + 19 = 0 for g. -3 Solve -3*j = 3*a - 15, 0 = 116*j - 118*j - 4*a + 12 for j. 4 Solve j - b = -847 + 841, -2*j = -4*b + 16 for j. -4 Solve 2*g + 11 = u, 0 = -4*g + u - 3*u + 6 for g. -2 Solve 4*h - 37 + 29 = 7*g, g - 8 = -4*h for h. 2 Solve 2*j + 4*a + 12 = 0, -18*j = -20*j - 3*a - 10 for j. -2 Solve -10*j = -7*j - 2*c - 11, -3*c = -j + 6 for j. 3 Solve 2908*u - 5*c + 65 = 2906*u, -3*c + 43 = -2*u for u. -5 Solve 62*c - 67*c + 9 = -4*j, 0 = -4*c - 4*j + 36 for c. 5 Solve 59*r + 5*p - 206 = 0, -4*r = -62*p + 66*p + 8 for r. 4 Solve 203 = 6*x + 203, -2*o + 3*x = 6 for o. -3 Solve -2*x = 2*m + 131 - 145, -5*x - 2*m = -17 for x. 1 Solve -5*x - 30 = 4*a, 2*x - 2*a + 248 - 254 = 0 for x. -2 Solve -11 = 3*d - 5*q, -2543*d + 2547*d + 8 = 5*q for d. 3 Solve -u + 6*w + 15 = 11*w, -3*u - 5*w = -5 for u. -5 Solve -4*n - 4*q = -40, n + 460*q - 457*q - 12 = 0 for n. 9 Solve -227*b - z + 21 = -231*b, 0 = -2*b + 2*z - 36 for b. -1 Solve -8 = 597*a - 594*a + 4*l, 3*a - 4*l + 40 = 0 for a. -8 Solve 5*w = 3*w + 8, 2*w + 21 = 3*v + 5*w for v. 3 Solve 0 = 2*b + 2*g + 14, -b + 10*g + 1 = 7*g for b. -5 Solve 34*j - 35*j - 3*o - 9 = 0, -27 = -j + 6*o for j. 3 Solve 0 = 3*l - 67*t + 66*t - 25, 3*l + 3*t = 9 for l. 7 Solve 0 = s + 2*p - 260 + 228, s - 2*p = -32 for s. 0 Solve -4*c - 24 = -2*s, -3*c - 39 = 199*s - 204*s for s. 6 Solve -22 = 5*a + 3*h + 3, 4*a = -3*h - 23 for a. -2 Solve 0 = -5*j - 3*r + 9, -4*j - 192*r = -171*r + 30 for j. 3 Solve 4*l + 4*f - 6 = -6, 4*f = 3*l for l. 0 Solve 33 = -2*l - 88*s + 83*s, -4*s - 29 = -l for l. 1 Solve -30*y + f = -31*y, f + 16 = -5*y for y. -4 Solve -2997 = -2*h - 4*v - 3007, -3*v = -2*h + 25 for h. 5 Solve w - 2 = -2*f, -500*f - 2*w + 25 = -503*f for f. -3 Solve -5*c = -4*k + 40, -4*c - 2239*k + 2236*k = 32 for c. -8 Solve -98*g = -96*g - 2, 3*b + 9 = 3*g for b. -2 Solve 3*j = -y - 15, -11*y - 165 = 50*j - 55*j for j. 0 Solve 38*b - 12 = 43*b + 3*n, 0 = b - 3*n - 12 for b. 0 Solve -12 = -3*t + 2*x, 1440*x = 1443*x for t. 4 Solve -2*p = -v + 5, -2*p + 3*p = 4*v + 1 for v. -1 Solve 4*v - 5*n - 17 = 0, -3*v = n + 474 - 463 for v. -2 Solve r = 4*s - 31, -2*s - r + 667 = 656 for s. 7 Solve 3*o = 5*s + 42, -72001*s + 72003*s = -4*o + 30 for o. 9 Solve 160*v + 0 + 5 = 162*v - 3*j, -4*v - 4*j = 0 for v. 1 Solve 1123 - 1121 = -10*m - 2*f, 0 = -m + f + 1 for m. 0 Solve 3*y - 27 = z, -174*y + 67 = -3*z - 172*y for z. -21 Solve 11*g - 16*g = -2*x - 7, 0 = 5*g - 6*x - 31 for g. -1 Solve -75*a + 2*m = -76*a - 5, 4*a - 2*m = 10 for a. 1 Solve 2*y - 4*m - 8 = 0, -67*m + 38 = 5*y - 68*m for y. 8 Solve -87*s + 89*s = -10, -3*v + s = -0*v + 1 for v. -2 Solve h = 5*u - 30, 0 = 2*u - 52*h + 57*h - 12 for u. 6 Solve -2*m = 4*n - 18, -1 = -14*m + 4*n - 3 for m. 1 Solve 0 = 4*w + 41654*z - 41657*z - 24, 14*w - z = 46 for w. 3 Solve -5*q = -c + 54, -251*c - 22 = q - 240*c for q. -11 Solve 0 = -2*c + 11*d + 13, 5*c + 56*d - 58*d + 44 = 0 for c. -10 Solve 13 = -2*v + 5*o, 4*v - 14 = -138*o + 140*o for v. 6 Solve -5*p + 3*x + 0*x + 19 = 0, 3*x = -9 for p. 2 Solve 1153*k - 3*m = 1152*k + 21, 2*k + 4*m = -28 for k. 0 Solve j - 2*d - 123 = -113, 0 = 2*j - 3*d - 15 for j. 0 Solve 4*s = -0*s + 2*c - 22, 0 = c - 3 for s. -4 Solve 3*v = w + 25, 5*v = -5*w + 933 - 898 for w. -1 Solve -6 = 2*d + o, -696*d + 691*d = -4*o + 2 for d. -2 Solve -7 = 2*v + 5*s, 5*s = -13*v + 8*v - 4*s for v. 9 Solve -14 = 2*l + 3*f + 3, -44*l = -3*f + 443 for l. -10 Solve -2*b = 6*x + 87 - 79, 0 = 4*b + 28 for x. 1 Solve 11*c - 7*c - 88 = 3*s, -4 = -s - 7*c for s. -24 Solve -k = 2*f + 7, -13 = -275328*f + 275327*f + 5*k for f. -2 Solve -2*y - 361 = 2*y - 5*v - 334, -9 = -3*v for y. -3 Solve -2*p + 2*a = a - 1, -32*a + 28*a + 4 = 0 for p. 1 Solve -p = -3*z + 12, 81*z - 32 = 73*z + 5*p for z. 4 Solve -2*v = -z + 9, 24 = -65*z + 69*z - 2*v for z. 5 Solve 40 = 5*c - 3*z + 2, 0 = -c + z + 10 for c. 4 Solve -2*d = -2*k + 32, -4*d + 888 - 927 = k for d. -11 Solve 147*b - 150*b - h - 1 = 0, -5*b - 2*h + 2 = 0 for b. -4 Solve -h + 2*v - 20 = 0, -2*h
{ "pile_set_name": "DM Mathematics" }
s = 2*o - 5 for o. -4 Let y = 130 - 125. Solve 4*i + y = 21 for i. 4 Suppose -3 = -w - 0. Let i(r) = 2*r**2 + r + r - r**3 + 3 + r. Let l be i(w). Solve 6 = -0*d + l*d for d. 2 Suppose 7*z - 6*z = 5. Solve -p = z - 0 for p. -5 Suppose 2*i - b - 4 = 0, -2*b + 16 = 2*i - 0*i. Solve i*z - 3 = 5 for z. 2 Let p(n) = -n**3 - 5*n**2 - 3*n - 3. Suppose -4 = 4*w + 16. Let l be p(w). Solve -3*t + l = t for t. 3 Suppose 0 = -35*w + 28*w + 14. Solve 0 = u - w - 2 for u. 4 Let b be (8/10)/(7/35). Let z(m) = 3*m**2 - 1. Let j be z(1). Suppose 2*c + 3 = -5*r + 2, j*c - b*r = 8. Solve -c*u + 8 = 2*u for u. 2 Suppose 3*f - 195 - 63 = 0. Let k be 2/9 + f/18. Solve k*q + 16 - 1 = 0 for q. -3 Let m(v) = 8*v - 31. Let p(f) = 2*f - 8. Let b(o) = 6*m(o) - 22*p(o). Let w be b(8). Solve -7 = 5*r - w for r. 3 Let x(t) = t**2 - 10*t + 10. Let f be x(9). Let v = f - -1. Solve -v*n + 5*n = 0 for n. 0 Suppose 2*o = 7*o - 10. Let f be (-3)/(-1) + o + -2. Solve f*r - 15 = -0*r for r. 5 Suppose 4 - 1 = s. Suppose 2*w - f = 3*f + 6, -s*w - f = -9. Suppose 4*z - w*i - 15 = 0, -2*z - 4*i = -2*i + 10. Solve -5*g + z = -5 for g. 1 Suppose -4*t = k + 4, 3*k = 2*k + 4*t + 4. Solve k = 8*n - 4*n for n. 0 Suppose 3*p = 2*t + 7*p - 14, 4*p - 24 = -4*t. Solve 0 = 2*v - v - t for v. 5 Let l(g) = -g**3 + 10*g**2 - 7*g - 14. Let a be l(9). Solve -a*p = 3 + 13 for p. -4 Let p be 47/9 + (-6)/27. Solve m + p = 2*m for m. 5 Suppose l + 16 = 2*l. Solve 2*v = 6*v + l for v. -4 Let p(f) = -f**2 - 15*f + 4. Let s be p(-15). Suppose 0*h + s*n + 24 = h, -n - 1 = h. Solve 6*t + h = 2*t for t. -1 Let w = -11 - -18. Suppose 25 + w = 2*h. Solve 5*p + 9 + h = 0 for p. -5 Let l(q) = -q**3 + 7*q**2 + 3*q - 8. Let y be l(7). Let x be 48/26 + 2/y. Solve 3 = 5*z - x for z. 1 Let v = 15 - 11. Suppose 22 = v*n - n - 5*l, -3*n + 2*l + 25 = 0. Solve -n - 11 = -5*x for x. 4 Let b(y) = 3*y**3 - y**2 + 1. Let f be b(-1). Let h = -9 - -7. Let x be h*(f + 4/2). Solve -d = -x*d for d. 0 Suppose 0*n + 5*n = -4*t, 5*t = -n. Suppose l - 4*l = n. Suppose -10 = 6*c - c, 4*y - 3*c = 26. Solve y*m + l = 15 for m. 3 Suppose -4*x - 4*j - 9 = -5*x, 0 = 3*j. Solve 5*c = 6 + x for c. 3 Suppose 0 = 5*b - 4*y - 9, -y + 2*y = 2*b - 6. Suppose 4*q - 4*r = 20, -q + 5*r = -4 - b. Solve -2*h - 2*h + q = 0 for h. 1 Let u(p) = 4*p**2 - 4*p - 116. Let y be u(6). Suppose 2*l + 3*g - 6 = -2, g = 2*l + 4. Let m be l - (-1 + -19) - 1. Solve -2 = y*i - m for i. 4 Let p = -56 + 78. Let u = 32 - p. Solve m - u = 3*m for m. -5 Let q(b) = 2*b**2 - b + 1. Let u be q(1). Let m(c) = -2*c + 2. Let y be m(u). Let i be y/(-12) - (-105)/18. Solve -h + 10 = -i*h for h. -2 Let z(h) = -h + 12. Let u be 16/(-4)*(2 - 3). Suppose 5*w = -5*j + w - 12, 0 = -u*j + 5*w + 15. Let c be z(j). Solve 3*g + g + c = 0 for g. -3 Let w be 2/(-9) + 540/243. Solve w = -3*r - 7 for r. -3 Let u(q) = -2*q**2 + 4*q**2 - q + 10*q**3 - 7*q**3. Let l be u(1). Suppose -3*o + l = -o. Solve -4*s = -o*s + 10 for s. -5 Let j = -21 - -24. Solve 0 = j*i + i for i. 0 Let g(f) be the second derivative of f**5/20 - f**4/6 - f**3 - 5*f**2/2 - 6*f. Let c be g(4). Solve p + 4 = c*p for p. 2 Suppose -4*f + 0*f + 40 = 4*d, -3*f = -2*d - 30. Suppose -j = 1 - f. Solve h - j = 4*h for h. -3 Let c(z) = z - 10. Suppose 2*j + 20 = y, 2*y = -2*j + 9 + 1. Let f be c(y). Solve f = -0*w + w + 5 for w. -5 Let x(i) = i + 2. Let p be x(3). Solve j + 0 = p for j. 5 Suppose 5*v + b - 12 - 5 = 0, 5*b - 13 = -v. Solve -5*j + v + 7 = 0 for j. 2 Let s be ((-7)/22 + (-4)/22)*-4. Solve s*i + 5 = 7*i for i. 1 Let z(s) = -s**2 - 4*s + 1. Let m be z(-3). Let v be 2/(2*(-2)/(-10)). Suppose 3*j - 2*h - 14 = -v, 5*j + 5*h = 40. Solve y = j*y + m for y. -1 Let h = 81 + -77. Solve -j + 3*j = h for j. 2 Suppose -3*w = t - 0*t - 16, -4 = -4*t. Solve 0 = w*r - 26 + 1 for r. 5 Suppose 0*h = -h + 2. Suppose -5*k + 12 = -h*k. Solve 1 = k*x - 3 for x. 1 Let h = 28 + -21. Solve -2 + h = m for m. 5 Let w = 12 + -2. Suppose -t - t = w. Let i = -3 - t. Solve -j + 12 = i*j for j. 4 Let l = 23 + -23. Solve -5*d + l*d = -5 for d. 1 Let k(b) = -2*b + 3. Let n be k(-3). Solve -v + n = -4*v for v. -3 Let j = 10 + -14. Suppose -15 = -i + 4*i + 5*u, u + 3 = 3*i. Let g be j/(-4)*(1 - i). Solve -g = -q - 0*q for q. 1 Let m(c) = -7 + 8*c - 7*c - 1. Let r be m(8). Solve r = 4*v - 0*v for v. 0 Let u be (3 - 8)*(2 - 3). Suppose 4*h + 3*s = 52, 0*h + 26 = 2*h + u*s. Solve -h - 2 = -5*o for o. 3 Let f(u) = -u**2 + 9*u + 12. Suppose 0 = 3*k + k - 40. Let d be f(k). Solve 0*c = d*c + 4 for c. -2 Let s = 19 - 19. Solve s = -0*n + 4*n + 16 for n. -4 Let p(r) = -r**3 - 9*r**2 - 13*r + 7. Let o be p(-7). Solve -2*n + 6*n - 8 = o for n. 2 Suppose 0 = -2*q - 0*q. Let o = -3 + 5. Suppose a - 12 = 2*p, -3*p - o = 3*a - 20. Solve 0 = 4*z - q - a for z. 2 Suppose 0*p + 15 = 5*p. Suppose -6 = 6*q - p*q, 33 = c + 2*q. Let l = -19 + c. Solve -2 = 4*o + l for o. -5 Let c(y) be the second derivative of y**5/20 + y**4/6 - y**3/2 - y**2 + 2*y. Let k be c(-2). Solve -k*t = -t - 9 for t. 3 Let k be 2/(-4)*(-30 + 20). Solve -c - k = 4*c for c. -1 Let y(w) = -2*w**2 - w + 1. Let p be y(-1). Let t(r) = -5*r - 3. Let k(o) = -2*o - 2. Let g(a) = 9*k(a) - 4*t(a). Let i be g(5). Solve -i*c + 2*c - 2 = p for c. -1 Let d be 30/3*2/(-5). Suppose -o + 1 - 9 = 0. Let f be d/o*(-1 + 5). Solve -4*b + 10 = f for b. 2 Suppose 2*s - 2*a = -3*a + 46, a = 2*s - 50. Let n be (-20)/6*s/(-10). Let o = n + -5. Solve w - o = -2*w for w. 1 Let a = 21 + -9. Let y = a + -8. Suppose 0*o = 3*l + y*o - 44, -5*l - 5*o = -65. Solve -3*u = -7*u - l for u. -2 Suppose 4*c = 5*q + 1, 5*q + 0*q + 4*c = 31. Solve -2*t - 10 = q*t for t. -2 Let f(h) = -h**2 - 5*h - 1. Let u be f(-4). Suppose 4*k + u*d = 6*d + 14, -d + 27 = 5*k. Suppose -x + 14 = 2*o, -3*o + 0*x + 5*x = k. Solve c = -0*c - o for c. -5 Let t = -6 - -9. Let x be (-4)/(-14) + 132/28. Suppose -4*z + 23 = x*l, -2*z - t*l - 1 = -7*z. Solve 0 = z*q + q for q. 0 Let d = 19 - 12. Let t be 14/(-4)*(-4)/d. Solve 0 = -0*n - t*n - 4 for n. -2 Let o(f) = 6*f. Let p be o(1). Solve 5*x = p - 1 for x. 1 Let d be 10/(-3)*(-54)/30. Suppose 3*n + 5*y = -0*y + 6, -2*y = -d. Let c be (-22)/n + (-1)/3. Solve -8 = c*v - 3*v for v. -2 Let j(u) = 2*u + 4. Let l be j(-3). Let v = l - -7. Let d = 10 - 8. Solve g - d*g = -v for g. 5 Let x be 40/(-100)*(-1 + 2 - 31). Solve v - x = -3*v for v. 3 Let b be (-2)/(-10) + 38/10. Suppose b = g - 0*g. Suppose 4*o - 8*o + 16 = 0. Solve -o - 12 = g*s for s. -4 Let j be -4 + (-1 - (-6 - -4)) + 9. Solve 6*u = 4*u - j for u. -3 Let q(h) = -16*h - 4. Let b be q(-1). Solve 4*r + b = r for r. -4 Let t = 5 - 3. Suppose -6 = t*r, 50 = 5*f - 5*r - 25. Solve 2 - f = 2*a for a. -5 Let n be (-5)/(-2*(-2)/(-4)). Let m = -128 - -188. Suppose 0*p + m = n*p. Solve 4*g = -0*g - p for g. -3 Let c be (-247)/(-52) - (-2)/8. Solve 0 = c*d - 3*d for d. 0 Let x(h) be the first derivative of -h**3/3 + 7*h + 4. Let a be x(0). Solve -3*u = -a*u for u. 0 Let c be 2*2/(-4)*-3. Suppose -4*j + 5*i = -32, -5*j - 5*i + c = -2*i. Let y be 12 - (1 + 1 + 0). Solve b = j*b + y for b. -5 Let t be (-15)/6*(-60)/25. Solve t = 2*f - 0*f for f. 3 Let v be 288/(-30) + (-2)/5. Let k = v + 14. Let c = 4 - 4. Solve c = k*y - 1 + 13 for y. -3 Let o = -4 - -6. Suppose 4 = x - o*g - 10, 0 = -2*x + 3*g + 27. Suppose -p + 3*p = x. Solve 4*i - 14 + p = 0 for i. 2 Let r = 3 + 2. Suppose -r*d + 24 + 6 = 0. Solve -2 + d = -4*g for g. -1 Let c = 14 + -10. Let j = -3 + c. Let x = -56 - -57. Solve j + x = d for d. 2 Suppose 1 - 5 = -2*m. Solve 0 = m*c - 3 - 1 for c. 2 Let b(a) = -a**3 + 9*a**2 - 13*a - 3. Let m be b(7). Suppose -m*y = 3*p - 9, 2*y - p = 2*p + 9. Solve y = 4*h - 5 for h. 2 Let j = 15 + -13. Solve -a - 7 + j = 0 for a. -5 Let k be 0 + 2/(2 + -3). Suppose -3*a + 2 - 8 = 0. Let m be 4 + (6/a - k). Solve -m*b + 2*b = 0 for b. 0 Let b = 2 + -3. Let s(i) be the third derivative of -i**6/30 - 2*i**2. Let a be s(b). Solve -t = a*t + 15 for t. -3 Let y = 13 + -8. Suppose 0*z = -2*z - 2*a - 6, z - 6 = 2*a. Solve z = -3*h + 2*h + y for h. 5 Let q be (-1)/((-3)/9*1). Suppose 12 = -2*j + t + 5, -q*j - 24 = 3*t. Let a = j - -11. Solve 2*g - 12 = a*g for g. -3 Let z be (-7)/2*20/(-14). Solve 4*y = z*y - 2 for y. 2 Let x = -33 + 37. Solve 0 = -2*s - x - 4 for s. -4 Let r = -16 - -20. Sol
{ "pile_set_name": "DM Mathematics" }
pose -5*k + 215 = 5*p + c, 0 = -4*p + 20. Is k a composite number? True Suppose 10*u = 3*u + 3157. Is u composite? True Let d(y) = -8*y**2 + 10*y - 8. Let n be d(-8). Is 2/7 - n/7 composite? True Suppose 172 = 4*h - 48. Is h a composite number? True Let z(a) = 2*a**2 + 5*a - 3. Let w be z(-5). Suppose o - w = 11. Is o composite? True Let x(b) = 496*b + 1. Is x(1) composite? True Suppose f = 5*r + 1463, 5*r + 578 = 3*r - 2*f. Let w = r + 515. Is w a prime number? True Let m(f) = -246*f - 5. Is m(-2) a composite number? False Suppose 1 = -2*o + 21. Suppose -2*w + 0*w = o. Let a = w + 26. Is a prime? False Let b(j) = 149*j. Is b(2) a prime number? False Let k(s) = -8*s + 2. Is k(-4) prime? False Let j be (-2 + (0 - -1))*-3. Suppose -578 = -4*x - x + j*y, 4*x - 457 = -3*y. Is x a prime number? False Let t(h) = h**3 - 5*h**2 - 2*h - 13. Let f be (-390)/(-42) - (-4)/(-14). Is t(f) a composite number? False Let p be (-69)/2 + 1/2. Let c(b) = -4*b**2 + 19*b + 8. Let j be c(5). Let n = j - p. Is n a composite number? False Suppose 5*q - 2*m = 1862, -5*q + 1863 = -0*q - 3*m. Let u = 1007 - q. Is u prime? False Let u(p) = p**3 + 10*p**2 + 8*p - 9. Let w be u(-9). Suppose 0 = -w*s + 4*s - 2456. Suppose 5*z - 3*f = s, 2*z + 4*f - 2*f = 236. Is z a composite number? True Suppose 5*x - 3*x - 4*o = 6, -4 = -2*x + 5*o. Suppose x*d - 2*d = 1440. Let f = -161 + d. Is f a composite number? False Let c = 174 + -63. Is c a prime number? False Let b be 77/91 + (-2)/(-13). Is (-1*b)/(16/(-416)) composite? True Let u(p) = 3*p**3 - p**2 + 2*p + 10. Let m(y) = y**3 + y + 5. Let a(v) = -5*m(v) + 2*u(v). Is a(4) prime? True Suppose -3*c = -3*z - 27, 0 = -3*c - 0*c + 5*z + 37. Suppose 0*b + 4*b - 12 = 0, -c*b = r - 58. Is r a prime number? False Let y = -4 - -4. Suppose g - 5*g + 220 = y. Is g prime? False Is (-18)/(-10) - (-13)/65 prime? True Suppose 132*f + 46 = 134*f. Is f a prime number? True Is 2529 + ((-5)/15)/(2/(-12)) a prime number? True Let v(u) = 7*u**2 - 2*u - 7. Is v(5) a composite number? True Let h = 393 + -262. Is h prime? True Let v(a) = -a**3 - 8*a**2 - 3*a - 5. Let h be v(-8). Suppose 4*z = 3*w - 58, 4*z + 25 = 2*w - h. Is w a prime number? False Suppose -4*z - 7 = 5, 2*x - z - 9 = 0. Let h be 1/x*(191 + -5). Suppose -8*y = -6*y - h. Is y prime? True Let k be (-3)/(-1) - (-1)/(-1). Let t be -3*17*1/(-3). Suppose k*g - 27 = t. Is g prime? False Let g(w) = -10*w**3 + 11*w**2 + 5*w + 9. Let i(y) = -9*y**3 + 10*y**2 + 4*y + 8. Let q(f) = -6*g(f) + 7*i(f). Let h be q(6). Is (-2)/3 - h/6 a prime number? False Suppose -2*n = -n - 3*l - 2, 2*n = -4*l - 6. Let u be 3 + -4 + (n - -24). Is 334/u + (-4)/22 composite? True Let c = -3662 - -2498. Is c/(-8) + 2/4 composite? True Let w = -14 - -8. Let t(m) = -4*m**3 + 19*m**2 - 16*m + 22. Let x(b) = -b**3 + 6*b**2 - 5*b + 7. Let z(c) = 2*t(c) - 7*x(c). Is z(w) a prime number? False Let a(s) = s**3 - 4*s**2 + s - 2. Let d be a(4). Let i = 11 + d. Is i prime? True Is (1726/4)/((12/(-2))/(-12)) prime? True Let z be (1 - -1)*3/2. Let a(y) be the first derivative of 11*y**2/2 - 2*y - 2. Is a(z) a composite number? False Let m = 3 + -11. Is m/(-12) - 471/(-9) a composite number? False Let y = -68 - -135. Is y a composite number? False Suppose 3*z = 4*z - 1867. Is z a prime number? True Is (-2)/3*(-1749)/22 composite? False Let k(x) = -32*x**2 - x. Let a be k(-2). Suppose -i = -2*f + i + 432, 2*f - 427 = i. Let r = f + a. Is r a prime number? False Let u(c) = 549*c - 22. Is u(5) prime? False Suppose -2*y - 1662 = -5*y - 3*w, 5*y - 4*w = 2797. Is y a composite number? False Suppose -4*g + 7*g + 30 = 0. Let b = 50 + -16. Is b - (g - -1)/3 composite? False Let b(w) = w**2 - w - 1. Let s(r) = -2*r**2 + 7*r + 2. Let i(l) = -b(l) - s(l). Let u(d) = -7*d**3 + d**2. Let k be u(-1). Is i(k) a prime number? False Suppose -4*c - 4 = -10*k + 5*k, -5*c - 5*k - 50 = 0. Is (2 + 0)*(-159)/c a prime number? True Let a(s) = 2*s**2 - 2*s + 1. Is a(-7) composite? False Let v(x) = 36*x - 5. Is v(6) a composite number? False Let n(b) = -3*b - 4. Let q be n(-3). Suppose -q*w + 1380 = -w. Suppose 0 = -0*p + 3*p - w. Is p composite? True Suppose 0 = t - 3*t. Let m = 16 - t. Suppose -h + m = -17. Is h a prime number? False Let u = 16 + -6. Let f = u - 6. Suppose 2*q + 3*q - f*n = 107, 5*n - 61 = -4*q. Is q prime? True Suppose 0 = 3*k - 3 - 6. Suppose -2*d + 206 = k*b + 49, 0 = -4*d + 4*b + 304. Is d a composite number? True Suppose -2*a = 5*b - 29, b - 25 = -4*b. Let w be 8/(-10)*2680/(-16). Suppose a*f = -0*f + w. Is f composite? False Suppose -497 = -4*q + 507. Is q a composite number? False Suppose 872 = -0*u + 4*u. Is u a prime number? False Suppose 5*k = -529 - 311. Let l = k + 289. Is l a composite number? True Let p(a) = 2*a + a + a + 6. Let q be p(6). Let s = q - -277. Is s composite? False Let f = 7 + -3. Is 1/4 - (-339)/f composite? True Is (771/9)/((-8)/(-24)) prime? True Let m be (-2 + -2)/(0 - -2). Is (-4381)/(-39) + m/(-3) prime? True Let s be 106*3*17/6. Suppose 4*v - 1455 = s. Is v a prime number? False Is 6/(-3)*(-1335)/6 composite? True Let a = -204 - -347. Is a prime? False Let r(a) = 5*a**2 - 7*a + 5. Let l(w) = -w**2 - w. Let i(p) = -4*l(p) - r(p). Is i(7) a prime number? True Suppose 5*t + 531 = 8*t. Is t a prime number? False Let m(x) = -11*x + 21. Is m(-23) prime? False Is ((-15)/12)/(-5)*524 composite? False Suppose 5231 + 2461 = 4*g. Is g prime? False Let u(p) = -26*p**3 - p**2 + p + 1. Let d be u(-1). Suppose z + 9 - d = 0. Let k = -5 + z. Is k a composite number? False Let k(m) = -3*m**2 - 5*m - 9. Let t(w) = w**2 + 2*w + 5. Let l(f) = -2*k(f) - 5*t(f). Let u be l(5). Suppose -d = -5*i + 38, 4*i + u - 61 = 5*d. Is i composite? False Let s be (-241)/4 + (-4)/(-16). Let q = 191 + s. Is q a prime number? True Let l = 7 + -2. Let d(t) = -309*t**3 - t**2. Let s be d(-1). Suppose l*j = j + s. Is j prime? False Let t(v) be the first derivative of v**2/2 + v - 2. Let g be t(2). Suppose 4*a - 24 = -g*h + 79, -a = -h - 24. Is a a composite number? True Let d = -11 - -3. Is d/(-20) + 1266/10 a prime number? True Let h = 25 - -8. Is h a prime number? False Suppose 5*j = 34 + 81. Is j a prime number? True Let c(t) = 25*t + 12. Let w(r) = -62*r - 30. Let z(y) = 12*c(y) + 5*w(y). Let m be z(-6). Is m + (1 + -2)/(-1) a composite number? True Suppose -40 + 0 = 4*a. Let d = 25 - a. Is d composite? True Suppose 15 = 5*h, 4*h - 22 = -z - 7. Is 252 - (2 + z/(-3)) a composite number? False Let u be (-13 - 1)/((-3)/(-3)). Let r(i) = 4*i + 11. Let l be r(-9). Let o = u - l. Is o a prime number? True Let b = -570 - -911. Is b prime? False Let j(y) = -y**3 - 7*y**2 + y + 9. Let u be j(-7). Suppose -15 = 6*n - 2*n - 3*p, 4*n = u*p - 10. Let s(a) = a + 31. Is s(n) prime? True Suppose -4*d = -d - 639. Is d prime? False Is (2149/4)/((-18)/(-72)) prime? False Let v(o) = 1 + 3*o + 2 + 3*o + 286*o**2. Is v(-2) a prime number? False Suppose 0 = r + 1, -a + 0*a = -r - 6. Suppose -4*h - 76 = -2*o, 4*o - 185 = a*h - 39. Is o a prime number? False Suppose 0 = -4*p - 5*i + 34, -p + i + 3 = -1. Let j = 6 - p. Suppose j*t = 2*t - 134. Is t prime? True Let t(x) be the third derivative of x**4/24 - 2*x**2. Let i(j) = -7*j - 1. Let m(y) = -i(y) - 2*t(y). Is m(4) composite? True Suppose -3*u - 240 = -2*p, -u - 367 = -3*p - 0*u. Is p prime? False Let h be (-1376)/(-10) - 10/(-25). Suppose 0 = l + 15 - h. Is l composite? True Let o = -434 + -1035. Is (-4)/18 + o/(-9) a composite number? False Suppose 2*o = 5*o + 18. Let u(z) = 20*z**2 - 3*z - 12*z**2 - 7*z**2 + 1. Is u(o) a composite number? True Is ((-1842)/24)/(1/(-4)) a composite number? False Suppose 4 = -4*c + 20. Suppose -c*m = -2*m - 4. Is (-2)/((-4)/145)*m a prime number? False Let t be 204/(-4) - (-1 + 2). Let r = 34 - t. Is r a composite number? True Let m(x) = 260*x**2 - 1. Is m(1) prime? False Let x = 2 - -2. Is 1/2 + 90/x a composite number? False Let t(s) = 20*s**2 - s + 10. Is t(7) composite? False Let k = -1 + -4. Is (5/(k/(-203)))/1 a composite number? True Let n be (-35)/14*6/(-5). Suppose n*b + 76 = 559. Is b composite? True Let s(f) = f**3 - f**2 - 18*f - 13. Is s(13) prime? False Let s be 3/(1/(-68)*-6). Suppose s = 2*p - 16. Is p a prime number? False Let u(k) be the third derivative of k**5/10
{ "pile_set_name": "DM Mathematics" }
-304. 30.4 42 * 0.282 11.844 -3.6 * 0.055 -0.198 What is 3 times -244? -732 Product of -0.02 and 0.51. -0.0102 Multiply -0.4 and 66. -26.4 1*-0.0734 -0.0734 -5*61 -305 Work out 162.59 * 0.2. 32.518 Multiply -171 and 0.1. -17.1 What is 0.0037 times -0.3? -0.00111 161 times -48 -7728 What is the product of -4 and 13? -52 What is 6 times -5.72? -34.32 What is 19 times 0? 0 Multiply -16.74 and 0.3. -5.022 Product of 0.13 and 0.087. 0.01131 Work out -6652 * -5. 33260 83 * -134 -11122 What is -0.3 times -5136? 1540.8 2*103 206 Product of -50 and 48. -2400 What is the product of -0.4 and 435.4? -174.16 What is -2316 times -0.4? 926.4 Calculate -3*-357. 1071 -1101 times -20 22020 -0.2*265 -53 -8 * 0.08 -0.64 -6.16*0.4 -2.464 Work out 1.36 * 0.04. 0.0544 1*-0.4 -0.4 Multiply -0.2335 and 0.4. -0.0934 -0.018 times -9 0.162 -0.0654 * 4 -0.2616 Product of -0.1 and -0.02366. 0.002366 0.3 times 67 20.1 Calculate 1329*-3. -3987 Work out 0.5 * 7.9. 3.95 0.159*-2 -0.318 478*0.4 191.2 Calculate -16*-0.2. 3.2 6 times 788 4728 Calculate 4*6. 24 -127*0.5 -63.5 22*0.057 1.254 Multiply 0 and 0.107. 0 -72*3 -216 What is the product of 0.1 and -514.7? -51.47 Multiply -0.37 and -0.6. 0.222 What is 49 times 17? 833 Calculate -1*1.3. -1.3 Calculate 0*1. 0 22*716 15752 What is 154.93 times -0.4? -61.972 0.07*-0.2 -0.014 Product of -1264 and -0.5. 632 Product of 7 and 0.1. 0.7 Calculate -588*-13. 7644 0.1 * -93 -9.3 What is -0.5 times -0.0161? 0.00805 -0.05 times -0.02 0.001 Multiply 9.04 and 2. 18.08 What is -0.752 times -0.5? 0.376 What is 0.5 times -480? -240 Product of -0.32 and -5. 1.6 Work out -0.3 * 3729. -1118.7 Multiply -144 and 0.5. -72 -0.06 * 0.1307 -0.007842 Work out 464 * -4. -1856 Work out 84 * 4. 336 -103.8 * -1 103.8 210*0.11 23.1 -14 * 65.2 -912.8 Work out -0.9 * -0.5. 0.45 33*-0.05 -1.65 0.01828 * 1 0.01828 What is -19 times -1? 19 Multiply -0.1 and 3.37. -0.337 88 times 5 440 6.4 * 1.98 12.672 What is -0.09 times 2.3? -0.207 Work out 0.067 * 0.1. 0.0067 Calculate -1.9*0.7. -1.33 -4 times 0.1859 -0.7436 Multiply 0.3 and -96. -28.8 -4*-1.1 4.4 -0.1301*0.4 -0.05204 Work out -3300 * 0.2. -660 Calculate -1*-7471. 7471 Work out 63 * -14.6. -919.8 What is the product of -0.5 and -5.8? 2.9 What is the product of 0.091 and 4? 0.364 What is -5 times 52? -260 Product of -4.918 and 4. -19.672 -0.5 * 0.51 -0.255 What is 1 times 226.6? 226.6 0.0541 times 1 0.0541 Product of -16.8 and 5. -84 Calculate 646*0.04. 25.84 -3.536*-0.1 0.3536 Product of -3 and -12. 36 What is the product of -0.1 and -25? 2.5 Calculate -0.4*0.61. -0.244 Multiply 3.6 and -17. -61.2 What is the product of -0.2 and 0.1? -0.02 What is the product of 0.24 and 7? 1.68 2 times 399 798 Calculate 42*-2. -84 -0.4 * 28 -11.2 What is the product of 5 and -678? -3390 Product of 2.2 and -1.092. -2.4024 What is the product of 0.123 and 0.3? 0.0369 -0.3*13 -3.9 -27 times -8 216 -144*0.09 -12.96 What is the product of 3 and 0.243? 0.729 -2.02 * -3 6.06 -4.1*102 -418.2 Product of 111 and -4. -444 11.4 * -3 -34.2 Work out -3 * -1.4. 4.2 -25*0.04 -1 Work out -0.023 * 42. -0.966 What is -8.98 times -2? 17.96 Work out -66.4 * 5. -332 What is -1 times 0.023? -0.023 Work out 1 * 20. 20 4 * 1.124 4.496 19*3 57 What is -0.2 times 334? -66.8 Product of 0.61 and 2.06. 1.2566 Calculate 3*-130. -390 What is -3 times -0.0786? 0.2358 Multiply -191 and -0.3. 57.3 What is the product of 2 and -0.47? -0.94 0.1*7.2 0.72 -0.01 times 165 -1.65 Product of 31 and 0.03. 0.93 -2*0.587 -1.174 116 times -5 -580 9127 times 0.4 3650.8 What is -0.63 times -2.6? 1.638 -0.1 * 16 -1.6 What is the product of -16 and -0.55? 8.8 48 times 8 384 Product of 0 and 2.8. 0 0 * 1.04 0 Calculate -3376*-0.2. 675.2 Calculate -9*-9. 81 -1.1*33 -36.3 -0.503*-0.2 0.1006 -2.73*-0.01 0.0273 0.0891 * -7 -0.6237 Product of -18 and 18. -324 -3*-526 1578 8*1.6 12.8 What is 500 times -0.5? -250 Multiply 1055 and -1. -1055 What is -402 times 0.4? -160.8 Product of 1184 and -0.4. -473.6 -140 * 2 -280 -0.0311 * 1 -0.0311 -7 * 86 -602 What is the product of -2.6 and -1.8? 4.68 1*30.3 30.3 What is the product of 0.276 and 58? 16.008 Multiply 0.04 and 6.3. 0.252 -0.9 * -0.5 0.45 Product of 164.8 and 0.1. 16.48 What is 0.42 times -0.03? -0.0126 1012 times -4 -4048 What is the product of -14 and 674? -9436 Product of 23.06 and 1. 23.06 Product of 0.3 and -0.035. -0.0105 7.3 times -3.5 -25.55 17 * 0.084 1.428 Product of 1 and -37.1. -37.1 Product of -122 and -30. 3660 -89 times -5 445 Product of -1 and 25. -25 1663*-0.5 -831.5 Product of -0.6 and -0.1. 0.06 Calculate -0.85*0.035. -0.02975 Calculate 0.4*-7. -2.8 What is the product of -48 and -28? 1344 Work out -0.9 * -0.795. 0.7155 Work out -5206 * -0.3. 1561.8 0.28*-0.01 -0.0028 0.39 * -0.1 -0.039 Multiply 122 and 195. 23790 Product of -0.06 and 31. -1.86 What is -406 times -0.5? 203 What is the product of -1.67 and 0.3? -0.501 Multiply 2135 and 3. 6405 15 times -0.06 -0.9 1139*0.5 569.5 5.36 * 3 16.08 -3.9 times 4 -15.6 What is the product of 304 and 10? 3040 What is 0.8 times -7? -5.6 -126 times -0.11 13.86 Calculate -0.07*6.6. -0.462 Multiply -0.119 and 0.04. -0.00476 5*244 1220 Multiply -4 and -3.8. 15.2 -0.5*0.071 -0.0355 What is the product of -294 and 1.8? -529.2 539 times -1 -539 -0.0094 times 2 -0.0188 What is the product of -1 and -1.3? 1.3 What is 3 times -0.091? -0.273 -5 times 957 -4785 Calculate 0.2485*-0.02. -0.00497 0.2 * 77.6 15.52 -1453.8 * 4 -5815.2 Multiply 5 and 0.131. 0.655 6 times 48 288 Product of -0.3 and -27.2. 8.16 Product of -20 and -21. 420 Multiply 181 and -0.4. -72.4 What is the product of 22 and 130? 2860 Product of 722 and 0.3. 216.6 -2196 times 3 -6588 1595 times 0.1 159.5 Multiply 1375 and 16. 22000 Calculate 6*-5.19. -31.14 Calculate -4*163. -652 Multiply -0.1 and 0.00473. -0.000473 Work out -0.015 * -0.2. 0.003 Calculate 0.2*-0.079. -0.0158 -1 times -79 79 Product of -0.06 and -99. 5.94 Work out -7.32 * -0.5. 3.66 Work out 0.03 * 36. 1.08 -2 * 373 -746 2 * -26.1 -52.2 What is -42 times -35? 1470 0.2 times -13.8 -2.76 Product of -240 and -16. 3840 -0.07*20 -1.4 What is -5806 times -5? 29030 What is the product of 0.4 and 0.03? 0.012 3*-8617 -25851 -3 * -0.022 0.066 Product of 1.15 and 50. 57.5 Calculate -4*-3.2. 12.8 Work out -16.15 * -0.4. 6.46 -0.13 * -123 15.99 What is -2 times 633? -1266 -17 times -1.79 30.43 Calculate 1.89*0.5. 0.945 Calculate 0.4*5. 2 What is the product of 0.4 and 0? 0 -6.3*10 -63 What is the product of -4 and 423? -1692 Multiply 0.33 and -5. -1.65 What is 2 times 259? 518 What is -0.5 times -3.7? 1.85 What is the product of -0.1 and 33.6? -3.36 3 * -1.342 -4.026 Multiply 19 and -9.3. -176.7 Calculate 0.013*0.1. 0.0013 Work out -0.3 * -91. 27.3 Multiply -0.0906 and 1. -0.0906 Calculate -140*1. -140 -0.5*600 -300 1 * 103 103 What is 0.13 times 23? 2.99 -0.26*-12 3.12 Calculate 5*-41. -205 -0.32*19 -6.08 What is the product of 0.6 and 862? 517.2 -0.16*-0.3 0.048 Multiply 0.6 and -10.32. -6.192 -10 * -0.223 2.23 -6 * -93 558 Work out 0.5 * -0.211. -0.1055 What is 2.34 times 64? 149.76 Work out -1294 * 0.1. -129.4 Work out 2 * -0.13. -0.26 3*-0.24 -0.72 2021 * 0.1 202.1 Product of 0.3 and 0.135. 0.0405 122.86 * 0.5 61.43 16 * -1.3 -20.8 439.1 * -3 -1317.3 What is -0.05 times -138? 6.9 Multiply 196 and 0.6. 117.6 What is 0.568 times 0.4? 0.2272 What is -1 times -989? 989 -62.1*-0.5 31.05 Multiply 6.46 and 5. 32.3 Calculate 2072*4. 8288 3359 times -0.1 -335.9 -5 * 481 -2405 Multiply -6 and -2. 12 What is the product of 0.1 and 0.072? 0.0072 0.2 * -0.0329 -0.00658 Calculate 0.017*2. 0.034 -0.4 times -56.82 22.728 -0.4*59 -23.6 Calculate -10*46. -460 What is 2.417 times 0.1? 0.2417 What is the product of 308 and 4? 1232 -2*170 -340 0.4*-2427 -970.8 What is 11 times -0.19? -2.09 13*-0.1 -1.3 What is the product of -1 and -611? 611 Calculate 13*0.17. 2.21 Multiply -0.3 and 312. -93.6 What is the product of 0.1 and -7086? -708.6 Product of -418 and 7. -2926 2 times 1.8 3.6 What is the product of 4 and 52.1? 208.4 1077*25 26925 -0.3 * -43.1 12.93 -7*0.04 -0.28 Product of -563 and 0.4. -225.2 What is 6 times -43? -258 -1.7 times -116 197.2 Product of -5 and -0.126. 0.63 Work out -37 * 0.91. -33.67 Work out -7 * -15. 105 1.9 * -0.15 -0.285 0.05 * -0.04 -0.002 Multiply 137.
{ "pile_set_name": "DM Mathematics" }
c**1/c)**(-20))/(c/c**(-1/2)*c/((c**(-5)/c)/c)*c**(-1/4)/(c/c**(2/7))) assuming c is positive. c**(-971/140) Simplify (f**(3/5)/(f*f**(3/5)/f*f*f))**4*(f**2)**10*(f**0)**(19/3) assuming f is positive. f**12 Simplify ((l/(l*(l**(-1/3)/l)/l))**30*l*l/((l/l**2)/l)*l**(-1/8))/(l**(-3)*l*l*l**5)**(-12/7) assuming l is positive. l**(4521/56) Simplify (y/y**7*y*y/y**(-4/3))**(-18/11)*y/((y**(-2/11)*y)/y)*y**0*y/y**(-1)*y*y**(2/13) assuming y is positive. y**(1244/143) Simplify (y**(-6)*y*y*((y*y**4)/y)/y)/(y**(1/4)/y)**(-41)*(y**(-1)/y*y*y*y/y**(-1))**(-28) assuming y is positive. y**(-351/4) Simplify ((q**(2/27)/q**(-1/10))/(q*q/(q/(q**(-7)*q)))**(-25))**(-29) assuming q is positive. q**(977387/270) Simplify ((f*f/((f*f**(-3))/f)*f)**(-3/14)*f*f/(f*f*f**0)*f**6)**45 assuming f is positive. f**(1485/7) Simplify (((v/v**(3/2)*v)/(v/(v/v**24*v)))/(v**16*v**15))**(-1/46) assuming v is positive. v**(107/92) Simplify (q**(1/5)/(q**15*q))**(3/8)/((q/(q**(-1/6)/q*q))**(1/11))**(2/31) assuming q is positive. q**(-242731/40920) Simplify ((j/(j*j**(5/8)))/(j**(-22)/j*j)*(j*j**9)**12)**(-45) assuming j is positive. j**(-50895/8) Simplify (((d*d/(d*d**(1/2)*d))/d)/d**(-5))**(-31/4)*((d**(2/15)/d*d)/d**(3/4))/(d/d**(3/2)*d/(d*d**(-8))) assuming d is positive. d**(-4229/120) Simplify ((a/a**(4/5))/(a/(a/(a*a*a/(((a*a*a**(-18)*a)/a*a)/a)*a))*a))/(a**(-34)/a**(-1/14)) assuming a is positive. a**(919/70) Simplify ((j**(-3)*j)/j**(-9))/(j**(12/7))**(-20) assuming j is positive. j**(289/7) Simplify ((s**(2/13)/s)**(2/73)*(s/((s*((s/(s*(s/s**0)/s)*s*s)/s)/s*s)/s))**(10/3))**(-6/11) assuming s is positive. s**(12/949) Simplify (x/(x/x**(3/2))*x**(-6))/(x/(x/(x**(-1/2)*x)*x))**(4/5)*(((x/(x/((x**(-5)*x*x)/x*x)))/x)/x**(2/23))**(-6) assuming x is positive. x**(4697/230) Simplify ((l**(-2/3)*(l/l**(2/17))/l)**(-9/7))**31 assuming l is positive. l**(3720/119) Simplify g**(1/2)/g*g/g**(-3/4)*g*g*g/(g*g*g*g**(-3/5))*g**(2/7)*(g**(-2/9)*g*g/(g**3*g))/((g*(g**(-3)/g)/g)/g**(-1/3)) assuming g is positive. g**(4511/1260) Simplify (h**(-15)/(h**(1/4)/h)*(h/(h*h*h**(-3))*h)**(-5))**(-16) assuming h is positive. h**468 Simplify (t**1)**35*(t/((t/(t/t**(3/8)))/t))/t**(-6/7)*(t**3*t**(2/7)/t*t*t)/(t/(t*t*t**0*t*t)*t*t/(t**(-2/7)/t)*t*t) assuming t is positive. t**(2211/56) Simplify ((n**(-2/57)*n**(-4/13))/(n**24/n)**(-24/5))**(-47) assuming n is positive. n**(-19164814/3705) Simplify (b**(-2/5)/(b**(4/5)*b))/(b**(4/3)*b**(1/7))*((b*b/((b/b**2)/b))**(1/29))**46 assuming b is positive. b**(8126/3045) Simplify (z*z**(1/4)*z**(-1/5))/(z**1)**(-16)*z**1/((z**(-3)*z)/z)*(((z*z**(1/3)*z)/z)/z)**(-36) assuming z is positive. z**(181/20) Simplify (o*o/(o*o*o*o**(5/3)*o*o*o*o)*(o*o/(o**(-5)/o)*o)/o)**(3/23)*(o**(-1)/o)**(-9)*((((o*(o**(2/7)/o)/o)/o)/o)/o)**(-1/17) assuming o is positive. o**(50340/2737) Simplify ((x*x*(x*x/(x*x**(1/3)/x*x)*x)/x)**(1/34)/(x*x*x**(2/7))**(-28))**(-1/5) assuming x is positive. x**(-3268/255) Simplify (c**1)**30*(c*c**0)**(-1/30)*(c/c**4)/c*c*c/((c/(c*c**(-6)))/c*c)*c**(-3/4)/((c**(-6)*c)/c*c) assuming c is positive. c**(1573/60) Simplify (v**(-1))**(-6/13)/((v*v*v/(v/(v**3*v))*v)/v**5)*(v**6*(v**2/v)/v)/(v/(v*v*v*v**(-1)*v*v*v*v))**(-2/67) assuming v is positive. v**(3756/871) Simplify (u/u**(-7/2)*u**(1/4)*u*u*u*u**(-5/2)*(u/(u*u**(-5)/u))/u)/((u*u**(-5)*u**3)/(u**(-2/3)/u)**(-2/31)) assuming u is positive. u**(4225/372) Simplify ((i/i**(2/3)*i)/(i/(i/(((i*i/(i/((i**6*i)/i)))/i)/i))*i)*((i/(i*i*i/i**0*i))/i)**(-2/9))/(i*i/i**(-8)*i**(7/4)*i)**(-37) assuming i is positive. i**(16847/36) Simplify (((v*((v**(2/5)/v)/v*v)/v*v*(v/v**(-1/2)*v*v)/v)/(v**(2/7))**41)**7)**(-4/17) assuming v is positive. v**(1234/85) Simplify (t**(-5/2)*t*t**(2/5))/(t**(-1/4)*t*(t/t**(-4))/t)*(t*t**1)**(1/46)*t**(-3)/(t/t**(-6/7)) assuming t is positive. t**(-34337/3220) Simplify ((s/s**(2/3)*s*s*s*s**(6/7)*s*s*s)/(s**(1/6)/s**7))/((s**(-1/15)*s*s**(1/10)*s)/(s**(-1)*(s**(-1/4)/s)/s)) assuming s is positive. s**(3671/420) Simplify ((y**(18/11)*y)/y**(-19))/(y**(-1/43))**(-31) assuming y is positive. y**(9893/473) Simplify (((a**(2/5)/a)/a*a)/a)**(-14/5)*a**(-2/5)/(a*a*a**(-1/7))*((a/((a*a**0*a*a)/a))/a)**(-2/11)*a**4*a*a**(-5/3) assuming a is positive. a**(34187/5775) Simplify (n/(n/n**0)*(n*n/(n*n**0))/n)/(n*n**(-1))**(-6/7)*(n**(2/19)*n**(-3/8))**37 assuming n is positive. n**(-1517/152) Simplify (((z/z**(-6/7)*z)/z)/(z*z**(1/2)))/(z/(z*z*z*(z*z**1)/z*z))**(1/3)*((z*(z*z**(-1/4)*z)/z)/z**3)/(z**(-1))**(1/14) assuming z is positive. z**(43/84) Simplify ((z**(-4))**(19/3))**(-50)*((z/(z/z**(-2/5)))/z)/(z/(z/(z/(z**(-9)*z)))*z*z)*z**(-1/2)/(z/(z**(-7)/z)*z*z) assuming z is positive. z**(37283/30) Simplify ((a*a*a**0)**(-19)*a**(-3)/((a*a**(-2/5))/a))/((a**(-8)/((a*a/(a/(a**4/a))*a*a*a)/a))/(a**8/(a/(a*a/((a**(-1/6)*a)/a*a))*a))) assuming a is positive. a**(-583/30) Simplify ((h**2*h)/h*h**(-5))**(-2/95)*(h**(-2/5))**17*((h**(1/4)*h)/h*h)/(h*h**(-1/2)) assuming h is positive. h**(-455/76) Simplify (k**(-36))**(-2/91)*(k**(-5/4)*k)/k*((k/(k*k*k*k**(-6/5)))/k)/k assuming k is positive. k**(-5931/1820) Simplify ((u*u**(-2/5))**(-2/91))**(-36)*(u*u**4/u*u**0)**6 assuming u is positive. u**(11136/455) Simplify (((a**(1/9)*a/(a/(a*a**(-6/11)/a)))**43)**31)**30 assuming a is positive. a**(-573190/33) Simplify (b*(b**29*b)/b*b/b**(-28))/(b**(-13/4)/(b*b*b**(-3/23)*b)) assuming b is positive. b**(5991/92) Simplify (l**(7/4)/(l*l/((l/l**(-9))/l)))/(l**(-3/4)/(l/l**(-4/11)))*(l**(-2/17)*l/(l**(-1/7)/l))/(l*l**0*l)**(-18) assuming l is positive. l**(127991/2618) Simplify (((d**(-9)/d)/d*d**(-31))/(d**(-23)*d**(-2/5)))**(-17) assuming d is positive. d**(1581/5) Simplify ((w**(-1/2))**(-3/10))**(-38)/(w**(-7)*w/((w**2*w)/w))**(-23/2) assuming w is positive. w**(-977/10) Simplify ((o*o**(-1/2)*o)/o*o*o**5)**3*(o*o*o**(2/7))**36*(o*o*o*o**(-2/21)*o)/o**(4/3) assuming o is positive. o**(1461/14) Simplify l**(-3)/l**(-8)*(l**(-2))**(-38)*(l**(-1/2))**(-22)*l**(-2/3)/(l/((l*l**(-2/25)*l)/l*l)) assuming l is positive. l**(6919/75) Simplify ((n*n**(-2/5))**(-1/7)*n**(-1/9)*n/(n/(n**(-7)*n)))/((n/n**5)/n*n*n**0*n*n**4/(n/(n*n*(n/n**2)/n)*n)) assuming n is positive. n**(-1637/315) Simplify (j/j**(16/9)*j**(2/15)/j*(j**41*j)/(j*j**(-30)*j*j))**(-4/33) assuming j is positive. j**(-12124/1485) Simplify ((d*d/d**1)**(9/4))**(1/14)/(((d**(-4)/d)/d**(1/7))/(d*d/d**(-1/5)*d*d**0)) assuming d is positive. d**(2381/280) Simplify (u**(1/11)*((u**7*u)/u)/u*u**(-2/15)/u**(-10))**(-32) assuming u is positive. u**(-84256/165) Simplify (v**(-33))**(1/2)/(v**6/v)**(-7/4) assuming v is positive. v**(-31/4) Simplify (k*k**(2/5)*k*k*k**4*k**(-3/2)/k**(2/15))/((k**(2/3))**24)**(3/19) assuming k is positive. k**(1847/570) Simplify (((g*g/(g*g*(g*g**(-14)*g)/g*g*g))/g)/g*g/(g/g**(-5)*g)*((g*g/g**(2/7))/g*g)/((g**15/g)/g))**(-14/3) assuming g is positive. g**(116/3) Simplify (k**(-2/5)/k)**(-6)/(((k/(k/(k*(k*k**4/k)/k)))/k)/k*k**(-2/25))*((k*k/(k*k**(3/2))*k)/k**(2/41))**(3/5) assuming k is positive. k**(13839/2050) Simplify (l**(1/4)*l**1*(l**(-2)/l)**(-1/29))/((l*l**(-2/13)/l*l/(l*l**5))/(l*l*l*l**0)**(-27)) assuming l is positive. l**(-112335/1508) Simplify ((g/(g/(g/(g*(g**(3/8)*g)/g)))*g**8/g*g*(g**(1/8))**35)**(4/27))**36 assuming g is positive. g**64 Simplify ((((p*(p**(4/7)/p)/p)**1)**(-12))**(12/5))**(-12/7) assuming p is positive. p**(-5184/245) Simplify (((k*k**19)/(k*k/(k*k/k**17*k)))/(((k**(-2/5)/k)/k)/k*k/(k**(-1/7)*k)))**(2/5) assuming k is positive. k**(508/175) Simplify ((p**14*p**(-3/2))/(p**22*p*p*p**(-1/3)))**(14/9) assuming p is positive. p**(-469/27) Simplify (a**(-3/2)*a*((a*a**(-3/14))/a)/a)/(a**(-8/5)*a*a**37) assuming a is positive. a**(-1334/35) Simplify (r**(-2))**(-49)/(r**(-2))**(-41)*(r*r**(-2/5))**5*(r/r**(2/5)*r)**40 assuming r is positive. r**83 Simplify u**16*u*u*u*(u**(-11)*u*u)/u*(u**(-41)/u)/u**(-17) assuming u is positive. u**(-16) Simplify (d**17)**39*(d**(6/5))**(7/8) assuming d is positive. d**(13281/20) Simplify ((h*h*h/((h**0*h)/h)*h*h*h)/((h*h**(3/5))/h)*(h*h*h**4)/((h/(h/((h/(h*h*h*h**(-1/6))*h)/h)))/h*h))**(2/45) assuming h is positive. h**(397/675) Simplify ((q/(q/(q*q**(3/4)))*q**(-6))/(q/(q*q**(-2)))**(-1/15))/((q/(q*(q**11*q*q)/q))/q**(-11))**(1/30) assuming q is positive. q**(-49/
{ "pile_set_name": "DM Mathematics" }
*t - 4. Let y(a) = 7*a**2 - a + 2. Let m(g) = -4*c(g) - 9*y(g). Calculate m(-2). 0 Let a(v) = -v**3 + 11*v**2 + 0*v**3 + 64 - 3*v - 4*v**2 - 56. Give a(7). -13 Suppose 0 = 4*q - d + 6*d + 37, -4*d - 5 = -5*q. Let y(a) = -3*a - 1. Let i be y(-1). Let k(n) = -2 - 7*n - 3*n**2 - 2 + 2*n**i + 4*n. Calculate k(q). -4 Let w(d) = -d**2 + 5*d - 1. Suppose -3*l + 20 = l + 4*h, -2*l + 25 = 5*h. Suppose -q - 11 = -r, l = -r - 3*q + 2 - 11. What is w(r)? -7 Let r(g) = 26*g - 5. Let n(j) = 17*j - 3. Let d(w) = -8*n(w) + 5*r(w). Suppose 0*o - o = 5*u - 34, o + 20 = 4*u. Suppose 0 = -q + u*q - 5. What is d(q)? -7 Let a(v) = v + 5. Suppose 0 = x - 6*x - 30. What is a(x)? -1 Let l(b) be the second derivative of b**5/20 + 7*b**4/12 + 4*b**3/3 + 7*b**2/2 - b. Determine l(-6). -5 Let u = -4 - -3. Let i(n) = 2*n**3 + n**2 - n - 1. Let f be i(u). Let v(g) = -9*g - 1. Give v(f). 8 Let w(o) = -o + 5. Suppose 5*f - 52 = 143. Suppose n - 2*z - 12 = 0, 6*n - 5*z = 2*n + f. Determine w(n). -1 Let q(n) = n**3 - 6*n**2 + 2*n - 5. Suppose -3*x + 10*x = 42. Give q(x). 7 Let t(d) = d**3 + 3*d**2 - 5*d - 4. Let i be t(-4). Let b(k) be the second derivative of k**4/12 + 3*k**2 - 8*k. Give b(i). 6 Let a(u) = u + 2. Suppose -15 = y + 2*y. Let v = -1 - y. Suppose -2*o = -v*g - 2 - 10, -4*o - 3*g = 31. Give a(o). -2 Suppose 3*m + 3 = 4*w, 5*w + 2*m + 2 = 3*w. Suppose w*h - h - 2 = 0. Let t be (-1)/h + 10/4. Let l(s) = -s. Calculate l(t). -3 Suppose 10 = -0*r + r. Let t be (r/6)/((-4)/(-12)). Let n be 1*2 + -7 + t. Let w(j) = j + 6. Calculate w(n). 6 Let t(m) be the second derivative of 0*m**2 + 7/12*m**4 + 1/6*m**3 + 0 + 3*m. Let d be (1/(-1))/(-4 - -5). Calculate t(d). 6 Let y = 2 + -4. Let j(z) = z**3 + z**2 - z - 2. Let c be j(y). Let i(u) = 13*u + 5. Let h(r) = -10*r - 5. Let d(k) = -4*h(k) - 3*i(k). Give d(c). 1 Let d(q) = -2*q + 5. Suppose z - 75 = -4*z. Suppose 5*w = 4*m - 13 + 2, 3*m = -3*w + z. What is d(m)? -3 Let t(k) be the third derivative of -k**6/120 + k**5/15 - k**4/6 + 2*k**3/3 + 7*k**2. Give t(3). 1 Let v(h) = h**2 + 2. Let n be v(5). Suppose -5*d + 4*s = -0*s - n, s - 6 = -3*d. Let l(t) = -3*t. What is l(d)? -9 Let y(c) be the third derivative of c**5/15 + c**4/24 - c**2. Suppose -2*o = 3 - 11. Suppose -5*r = -o*r + 1. What is y(r)? 3 Let n(o) = 5*o - 4. Let v be n(3). Let g(u) = -3*u**3 + u**2 - 9*u + 6. Let k(t) = 8*t**3 - 2*t**2 + 26*t - 18. Let s(p) = v*g(p) + 4*k(p). What is s(4)? -2 Let n(l) = l**2 - 6*l - 5. Let k(z) = -2*z**2 + 7*z + 6. Let i(v) = -4*k(v) - 5*n(v). Give i(-1). 2 Let v be 3/(-1*3/4). Let t(z) = z**3 + 5*z**2 + 2*z + 5. Give t(v). 13 Let g(d) = 2*d + 1 - 6*d + d. Suppose -4*y = 4*p - 16, 0 = 2*p - p - 1. Determine g(y). -8 Let r(l) = 0*l + l - 2 + 2*l. Suppose -4*d - d = -45. Let x be d/4 - 2/8. Give r(x). 4 Let r(l) = -l**3 + l**2 + 3*l + 3. Let k be ((-21)/(-14))/((-6)/(-16)). Suppose -16 = -4*d - k*g, 0 = -5*d - 2*g - 2*g + 19. Determine r(d). -6 Let u be (-1)/(3*(-2)/(-12)). Let s be (6/(-8))/(u/(-8)). Let j(w) = w + 2. What is j(s)? -1 Let p be (1 - 0)/(1/2). Let x be 7/p + 3/6. Let b(i) = -6 + 5 + 2*i - 9 + 4. What is b(x)? 2 Let i(g) = -g**3 + 6*g**2 + 2*g - 4. Let j(n) = n - 4. Let v be j(10). Determine i(v). 8 Let w(n) = -n**2 - n + 3. Let s be w(-3). Suppose 0 = 3*o - 2*c - 19, -4*o = -9*o + 5*c + 40. Let l(d) = d - o*d + d - 3. What is l(s)? 0 Let q(m) = 5*m + 11. Let s(a) = -11*a - 22. Let k(p) = -13*q(p) - 6*s(p). Give k(0). -11 Let z(o) = 30*o**2 - 4 + 5 - 349*o + 349*o. What is z(-1)? 31 Let g(v) = -v - 14. Let f be 0 + (0 - 14) - -4. Give g(f). -4 Suppose -3*v + 7 = -11. Let m(f) = -3 + v*f**2 - 5 + 20*f**3 - 19*f**3. Suppose -3*a - 5*x + 2 = 0, -a - 10 = -2*a - 4*x. What is m(a)? -8 Let d = 2 - 1. Let f(q) = -q**2 - 9*q - 15. Let k be f(-6). Let t(i) = -i + 1. Let j(u) = u**3 + 6*u**2 + 7*u - 5. Let s(w) = d*j(w) + k*t(w). Determine s(-5). 3 Let d(u) = u + 1. Let v = 20 - 12. Let q = v + -4. Determine d(q). 5 Let p(q) = q**2 + 4 - 2*q - 4 - 3 - q. Calculate p(4). 1 Let w(m) be the second derivative of -1/2*m**2 - 7/60*m**5 + 1/24*m**4 - 2*m + 0 + 0*m**3. Let g(r) be the first derivative of w(r). Determine g(1). -6 Let v(x) = -9*x + 10. Let z(q) = 5*q - 5. Let p(u) = 6*v(u) + 10*z(u). Let y = -2 + 1. Let w(o) = 1. Let n(i) = y*p(i) + 10*w(i). What is n(-1)? -4 Let n(q) = q**2 + 8*q + 6. Let b be (-40)/(-15)*(0 + -3). Determine n(b). 6 Let l be (2 + 8*-1)*1. Let v = l + 1. Let y(d) = 3*d + 8. Let i(w) = -21*w - 57. Let u(a) = 2*i(a) + 15*y(a). Calculate u(v). -9 Let c = -2 + 2. Let j(o) be the first derivative of o**3/3 - o**2/2 + 11*o - 17. Give j(c). 11 Let b(n) = n - 1. Let l(f) = 6*f - 13. Let k(s) = 5*b(s) - l(s). What is k(5)? 3 Let h(v) = v**3 + v**2 + v. Let u(x) = -6*x**3 - 3*x**2 - 2*x + 1. Let c(q) = 2*h(q) + u(q). What is c(-1)? 4 Suppose 3*d + 9 - 6 = 0. Let h(a) = -9*a**3 - 2*a**2 + 1. Determine h(d). 8 Suppose -115*q + 113*q - 16 = 0. Let d(n) = n - 6. Give d(q). -14 Let w(y) be the third derivative of -y**5/60 + y**4/6 + y**3/2 + 11*y**2. What is w(5)? -2 Let l(x) be the second derivative of -x**5/20 + 5*x**4/12 + x**3/6 - 3*x**2 + 9*x. Give l(5). -1 Let m(l) = 3 + 2 - l**3 - 3 + 4*l - 2*l**2. Suppose 10 = -3*c - 2*f - 7, -f = 4. Calculate m(c). -1 Let r(p) = -p**3 + 7*p**2 - 2*p + 7. Let v be r(7). Let u = v + 4. Let f(o) = 3*o - 4*o - 4 + 0. Calculate f(u). -1 Let x(y) = 4*y**2 - 3*y. Let k(h) = 4*h**2 + 40*h + 2. Let b be k(-10). Give x(b). 10 Let q(h) = -2*h + 1. Let k = 70 - 49. Let c = k + -25. Calculate q(c). 9 Let z(g) = g**2 + 3*g - 3. Let p(b) = -b**3 - 7*b**2 - 7*b - 5. Let s be p(-6). Let v = 63 - 67. Let y = s + v. Determine z(y). -3 Let z(x) be the first derivative of -1/3*x**3 - 7 - 5/2*x**2 + x. Calculate z(-6). -5 Let f(d) = 6*d**2 + d. Suppose 0 = -10*v + 5 - 15. What is f(v)? 5 Let k = -73 + 74. Let g(m) = -5*m**2 + m - 1. Determine g(k). -5 Let r be (-2)/(-7) - (-900)/(-14). Let q be r/(-20) - (-1)/(-5). Suppose -q + 0 = c. Let b(t) = -t**2 - t + 3. Determine b(c). -3 Let p(t) = 3*t**2 + t. Let x = 2 - -3. Suppose -5*y - 2*u = -4 - 1, 0 = 2*y - x*u - 2. Calculate p(y). 4 Let r(n) = -2*n**3 - 2*n**2 - 2*n + 6. Let x(w) = w**2 + 3. Let o be x(0). Let m(f) = 3*f**3 + 5*f**2 + 4*f - 11. Let u(i) = o*m(i) + 5*r(i). What is u(5)? 7 Let t(y) be the second derivative of 1/20*y**5 + y + 0 - 1/2*y**4 + 2*y**2 + 1/2*y**3. Suppose -4*l = 5*q - 29, 2*q + 22 = 7*q - 3*l. Give t(q). -6 Let d be 0 + 2*6/4. Let v(j) be the third derivative of j**6/120 - j**5/20 + j**4/12 - j**3/3 + 21*j**2. Calculate v(d). 4 Let d be (32/(-20))/4*-35. Let v = 14 - d. Let r(o) = -o**2 + o + 1. Let j(c) = -2*c**2 + 2*c + 9. Let i(h) = -j(h) + r(h). Give i(v). -8 Let j be 1 + -4 + 6/(-3). Let a(p) be the second derivative of p**3/6 + 2*p**2 - 36*p. What is a(j)? -1 Let a(f) be the third derivative of f**4/24 + f**3/3 - 6*f**2. Let t(w) = 3*w - 1. Let x be t(-1). What is a(x)? -2 Let l(p) be the third derivative of -p**4/12 - 2*p**3/3 - 29*p**2. Determine l(3). -10 Let f be 6/4 - 3/(-6). Let u(n) = 3*n + f*n - 6*n**2 + n**3 - 5 - 2*n**3. Determine u(-7). 9 Let g(m) = m**2 - m - 2. Let t(w) = w**3 - 6*w**2 - 3*w - 24. Let f be t(7). Calculate g(f). 10 Suppose 0*s - 18 = -3*d + 2*s, -5*d + 2*s = -30. Let q(a) be the third derivative of -a**5/60 + a**4/3 - 2*a**3/3 + 4*a**2. Calculate q(d). 8 Let q(k) = 2*k + 23. Let s be q(-9). Let y(r) = -r**3 + 4*r**2 + 7*r + 1. What is y(s)? 11 Let a(c) = -1 - 6*c + 6 - 2 + c + c**2. Determine a(6). 9 Let a(k) = -6*k**3 - k**2 + 2*k - 1. Let g(h) = -4*h + 21. Let l be g(5). Give a(l). -6 Let o(i) be the first derivative of -i**4/4 - 7*i**3/3 + i**2/2 + 4*i - 7. Determine o(-7). -3 Let g be ((-3)/(-1))/((-1)/1). Let u(y) = 2*y - 1 - 3*y + 0 + 2. Let c(n) = -4*n + 5. Let q(k) = c(k) - 3*u(k). Calculate q(g). 5 Let v be 2*(-6)/16*-4. Let o(h) = -h**2 + h - 3. What is o(v)? -9 Let v(s) be the second derivative of s**3/3 - 3*s**2/2 - 5*s. Give v(5). 7 Let a be ((-16)/(-10))/(1/5). Suppose 3*m - a*m = 5. Let t(v) = -5*v. Determine t(m). 5 Let v(k) be the third derivative of k**4/24 + 7*k**3/6 - 22*k**2. Calculate v(-7). 0 Suppose 2*z = 2*y - 66, 5*y + z - 20 = 115. Let f be (-1 + y)*(-1)/(-3). Suppose -2*w + 3 = f. Let d(r) = r**3 + r**2 - 3*r + 3. Determine d(w). -6 Suppose 0 = 2*t - 2*g + 6,
{ "pile_set_name": "DM Mathematics" }
3) + 91 Simplify (sqrt(162)/sqrt(3))/(-1*(sqrt(3) + (sqrt(3) + sqrt(12)/sqrt(4) - sqrt(3)))). -3*sqrt(2)/2 Simplify -2 + (sqrt(22)/sqrt(2) + 4 + -2)*-2. -2*sqrt(11) - 6 Simplify (sqrt(19) + 1 - sqrt(19))**2*-2 + sqrt(1216) + 5. 3 + 8*sqrt(19) Simplify sqrt(1216) - (sqrt(1216) - ((sqrt(1216) - 3*(0 + sqrt(1216)))**2 - sqrt(1216))). -8*sqrt(19) + 4864 Simplify ((sqrt(847) - (-1 + sqrt(847))) + 2 - (3 + -2*sqrt(847) + sqrt(847) + sqrt(847)))**2. 0 Simplify (4*sqrt(18)/sqrt(2))/sqrt(3). 4*sqrt(3) Simplify (4*sqrt(220)/sqrt(4))/(-1*sqrt(11)*1). -4*sqrt(5) Simplify (-2*sqrt(5324))/(sqrt(640)/sqrt(10)). -11*sqrt(11)/2 Simplify (sqrt(60)/sqrt(2)*1)/(4*-2*sqrt(10)). -sqrt(3)/8 Simplify (2*sqrt(96) + sqrt(96))/(1*sqrt(32) + sqrt(2)). 12*sqrt(3)/5 Simplify ((sqrt(1512) - 1*sqrt(1512)) + sqrt(1512))/sqrt(6). 6*sqrt(7) Simplify (4 + sqrt(176) + 2)*1. 6 + 4*sqrt(11) Simplify ((sqrt(208)*-5 + sqrt(208))*-6)**2. 119808 Simplify -5 + sqrt(637)*2 + (-2*sqrt(637)*-4 + sqrt(637))**2 + -5. 14*sqrt(13) + 51587 Simplify (sqrt(35) + (sqrt(175)*2)/sqrt(5))/sqrt(7). 3*sqrt(5) Simplify (-4 + sqrt(1584) + 0 + 2)**2. -48*sqrt(11) + 1588 Simplify ((sqrt(560) + (sqrt(560) - sqrt(560)*-2) + sqrt(560))/sqrt(7))**2. 2000 Simplify (-3 + sqrt(30)/(sqrt(10) + sqrt(10)*4)*-4)**2. 24*sqrt(3)/5 + 273/25 Simplify 3 + (6*(sqrt(76))**2 - (sqrt(171) + 3)). -3*sqrt(19) + 456 Simplify (5*sqrt(17)*-1)**2*-3. -1275 Simplify sqrt(17) + 1 + sqrt(2448) + (sqrt(102) + sqrt(102)*-3 - sqrt(102) - sqrt(102))/sqrt(6). 1 + 9*sqrt(17) Simplify (0 + -1*sqrt(11) - (sqrt(891) - 1*sqrt(891))**2)*-1. sqrt(11) Simplify (2*sqrt(189) + sqrt(189) + sqrt(189))/(sqrt(24)/(sqrt(8)*-2)). -24*sqrt(7) Simplify 2*sqrt(55)/sqrt(5) + 2. 2 + 2*sqrt(11) Simplify (-2*(2*sqrt(7) + 4))**2. 64*sqrt(7) + 176 Simplify (sqrt(612) + 0 + -4 + -4 + -4)**2. -144*sqrt(17) + 756 Simplify ((sqrt(2) - (1 + sqrt(32))) + sqrt(2))**2 - (sqrt(8)/sqrt(4)*-4)**2. -23 + 4*sqrt(2) Simplify (2 + sqrt(567) + -2*sqrt(567) + sqrt(567))**2 + sqrt(567) - sqrt(567). 4 Simplify 4*((1 + -1*sqrt(1216))**2 - sqrt(1216)). -96*sqrt(19) + 4868 Simplify -2 + 5 + sqrt(14)/sqrt(2). sqrt(7) + 3 Simplify ((sqrt(187)*1 - sqrt(187))*5)/(sqrt(55)/(sqrt(5) - ((sqrt(5) - 2*sqrt(5)) + sqrt(5)))). 0 Simplify -3*(-5 + sqrt(117)*-1 + 0)**2. -426 - 90*sqrt(13) Simplify -3*(-4 + sqrt(80)). -12*sqrt(5) + 12 Simplify ((sqrt(448) - -1*sqrt(448))*3 - (5 + sqrt(448) + -2))**2. -240*sqrt(7) + 11209 Simplify (sqrt(60)/sqrt(3))**2*-1 - 2*sqrt(80)/sqrt(4). -20 - 4*sqrt(5) Simplify (sqrt(63)/(sqrt(27)/sqrt(3)) + 2 + 2)**2. 8*sqrt(7) + 23 Simplify (3 + sqrt(5) + -2)**2 + 3. 2*sqrt(5) + 9 Simplify ((sqrt(560)*-3)/sqrt(7))**2. 720 Simplify (sqrt(312)/(sqrt(8) - sqrt(128)))/(sqrt(21)/(sqrt(7) - 2*sqrt(7))). sqrt(13)/3 Simplify sqrt(228)/(sqrt(60)/sqrt(5)) - (sqrt(171) + 2). -2*sqrt(19) - 2 Simplify (-1*(0 + sqrt(11))*-4)**2. 176 Simplify (sqrt(192)*1 - sqrt(480)/sqrt(10))*5. 20*sqrt(3) Simplify (6*(sqrt(190) + sqrt(190)*-2))/(sqrt(540)/sqrt(6)). -2*sqrt(19) Simplify (1*sqrt(5082) - sqrt(42))/((-1*sqrt(60))/sqrt(10)). -10*sqrt(7) Simplify -1*(-3*sqrt(33)/sqrt(3))**2. -99 Simplify -4 + (sqrt(13) + sqrt(13) + 1 + sqrt(13))*-3 + (sqrt(13) - (sqrt(325)*2 + sqrt(325))). -23*sqrt(13) - 7 Simplify (3*sqrt(495)/(sqrt(22)/(sqrt(6)/sqrt(3))))**2. 405 Simplify (((sqrt(156) - (sqrt(156) - (-1*sqrt(156) + sqrt(156))))/sqrt(6))/sqrt(2))**2 + (2*sqrt(325) - -5*(sqrt(13)*-1)**2). 10*sqrt(13) + 65 Simplify ((-1 + sqrt(2299))*3)**2 + (sqrt(2299) - 3*(sqrt(2299) + -2 + sqrt(2299))). -253*sqrt(19) + 20706 Simplify ((sqrt(125) + -1 + sqrt(125) + 1)*4)**2*2. 16000 Simplify 3*(-1 + (sqrt(80))**2)*-5. -1185 Simplify (1 + sqrt(26)/sqrt(2)*-2)**2*-6. -318 + 24*sqrt(13) Simplify -3*(sqrt(5) - (sqrt(320) + -1*sqrt(320)))*-5. 15*sqrt(5) Simplify 1*(sqrt(3) - sqrt(1200)). -19*sqrt(3) Simplify (sqrt(11) + 4)*4 - (sqrt(11) + 2*(sqrt(11) + 2)). sqrt(11) + 12 Simplify (1*sqrt(304))**2 + (sqrt(19) + (sqrt(38)/sqrt(2) + sqrt(19))**2)*3. 3*sqrt(19) + 532 Simplify (-4*2*sqrt(187))/(sqrt(11) - (sqrt(11) + sqrt(275)*2 - sqrt(11)))*1. 8*sqrt(17)/9 Simplify (sqrt(3630)*-2 - sqrt(3630) - sqrt(30))/(sqrt(18)/sqrt(3)*4). -17*sqrt(5)/2 Simplify sqrt(153)/(sqrt(36)/sqrt(4)) - 4*(1 + sqrt(17)). -3*sqrt(17) - 4 Simplify (5*(-1 + (sqrt(704)*1 - sqrt(704))))**2. 25 Simplify (-2 + sqrt(1584) + 0 - (-5 + sqrt(1584)*-1))**2. 144*sqrt(11) + 6345 Simplify (2*sqrt(187)*4)/sqrt(11). 8*sqrt(17) Simplify 1 + sqrt(8) - -3*sqrt(4)/sqrt(2). 1 + 5*sqrt(2) Simplify ((-2*sqrt(14) - sqrt(14))/sqrt(2) + -5)**2. 30*sqrt(7) + 88 Simplify (5*1*sqrt(425) + sqrt(425))**2. 15300 Simplify ((sqrt(5) - 4*sqrt(125)) + sqrt(320)*2)**2. 45 Simplify -1 + -1*sqrt(612)*-2. -1 + 12*sqrt(17) Simplify ((sqrt(171) - sqrt(171)*-2)*-1)/(1*sqrt(36))*-6. 9*sqrt(19) Simplify (sqrt(49)/(2*sqrt(7)) + ((sqrt(168)/sqrt(3))/sqrt(8) - sqrt(7)))**2 + ((sqrt(448) - (sqrt(448) + (sqrt(448) + 0 - sqrt(448))))*-4)**2. 7/4 Simplify (0 + sqrt(448))*-5. -40*sqrt(7) Simplify (sqrt(21)*2 - sqrt(21))/sqrt(3) + 4. sqrt(7) + 4 Simplify ((sqrt(144) + (sqrt(144) + sqrt(144) + (-3*sqrt(144) - sqrt(144)) - sqrt(144) - sqrt(144)))/sqrt(6))/(sqrt(300)*-3). sqrt(2)/5 Simplify sqrt(9)/(sqrt(108) - sqrt(3) - sqrt(3)) - (sqrt(3) + sqrt(3) + -1 + -2). -7*sqrt(3)/4 + 3 Simplify -5 + (2*sqrt(252) + -3 + sqrt(252))**2. -108*sqrt(7) + 2272 Simplify (sqrt(45)*-1*3)/((sqrt(54) + sqrt(54)*1 - sqrt(54))/sqrt(6)). -3*sqrt(5) Simplify -5 + ((1*sqrt(1200) + sqrt(1200))/sqrt(4))**2. 1195 Simplify 0 + (sqrt(99) - (sqrt(99) - (sqrt(99) + 0)**2)). 99 Simplify (1*3*sqrt(84)/sqrt(3))**2. 252 Simplify (1*sqrt(252) + sqrt(63) + -2)**2 + -4. -36*sqrt(7) + 567 Simplify sqrt(3) + -2 + -5 - (-1*sqrt(3)*4 - sqrt(3))**2. -82 + sqrt(3) Simplify (-2*(-4 + sqrt(68)*-4 + sqrt(68)))**2. 192*sqrt(17) + 2512 Simplify 1 + (sqrt(176)*-4)**2. 2817 Simplify sqrt(56)/(6*(sqrt(288) - sqrt(8))). sqrt(7)/30 Simplify ((3*(sqrt(133) + (sqrt(133) + 3*sqrt(133) + sqrt(133) - sqrt(133)) + sqrt(133)))/sqrt(7))**2. 6156 Simplify (1*sqrt(24)/sqrt(3))/(-5*sqrt(8)/sqrt(2)). -sqrt(2)/5 Simplify 0 + -1*sqrt(1088). -8*sqrt(17) Simplify (-5 + sqrt(17)*3)*1. -5 + 3*sqrt(17) Simplify 3*((sqrt(4752)*-1 - sqrt(4752)) + sqrt(33))/(sqrt(704) - (sqrt(704) + -2*sqrt(704))). -69*sqrt(3)/16 Simplify 1 + 2*sqrt(425) + sqrt(425) - ((1 + sqrt(153) + sqrt(153))*3)**2. -5516 - 93*sqrt(17) Simplify -1*(1 + sqrt(2) + 0) + -3 + -3. -7 - sqrt(2) Simplify (sqrt(228)/(sqrt(48)/sqrt(4)*3))**2. 19/9 Simplify ((sqrt(1176)*-1)/(5*sqrt(32) - sqrt(8)))**2. 49/27 Simplify 4*(-1 + sqrt(19) + -2). -12 + 4*sqrt(19) Simplify (-1 + sqrt(2057) + -1)*4. -8 + 44*sqrt(17) Simplify (sqrt(49)/sqrt(7)*6 + sqrt(7))**2*6. 2058 Simplify sqrt(24)/(sqrt(32)/sqrt(4) + sqrt(8)) + ((sqrt(9)*-1)/sqrt(3))**2. sqrt(3)/2 + 3 Simplify (-2 + sqrt(684))**2 - sqrt(133)/(sqrt(7)*1). -25*sqrt(19) + 688 Simplify 2*(1*(sqrt(68) + 0) + 3). 6 + 4*sqrt(17) Simplify (-1*sqrt(1331)*-1)**2 - sqrt(1331). -11*sqrt(11) + 1331 Simplify (sqrt(18) + sqrt(288)*-3 - (sqrt(1152) - (sqrt(1152) - ((sqrt(1152) + -2 - sqrt(1152)) + sqrt(1152)))))**2. -228*sqrt(2) + 6502 Simplify (sqrt(17) + (1*sqrt(153) - sqrt(17)) + 0 + -1 + sqrt(17))*4. -4 + 16*sqrt(17) Simplify 0 + sqrt(300) + -2. -2 + 10*sqrt(3) Simplify (sqrt(204)*-3 - sqrt(204))/sqrt(12)*-2. 8*sqrt(17) Simplify (sqrt(114) - (sqrt(114) + 5*(sqrt(114) - sqrt(114)*-2) + sqrt(114)))/sqrt(6). -16*sqrt(19) Simplify sqrt(15)/sqrt(3) + -2 + 2 + 5. sqrt(5) + 5 Simplify -3 + sqrt(10)/sqrt(2) - ((5 + sqrt(5) + 0 + sqrt(5))**2 + sqrt(5)). -48 - 20*sqrt(5) Simplify (0 + sqrt(192))**2*-3 - ((sqrt(192) + -1)*-5)**2. -5401 + 400*sqrt(3) Simplify -3 + (0 + sqrt(6)/sqrt(2))**2*4. 9 Simplify (sqrt(68) + 3 + 5 - (2 + sqrt(68)*1))**2. 36 Simplify 2 + ((-1 + sqrt(700))**2 + sqrt(700) - (-4*sqrt(63))**2). -305 - 10*sqrt(7) Simplify sqrt(102)/sqrt(6)*2 - sqrt(51)/(sqrt(15)/sqrt(5)). sqrt(17) Simplify 3*(sqrt(17) + (sqrt(272))**2) + -3 + 4. 3*sqrt(17) + 817 Simplify 3*(sqrt(1300)*-1 + sqrt(13) + -5). -27*sqrt(13) - 15 Simplify (-6*(sqrt(21) + (sqrt(21) - sqrt(21)*-1) - sqrt(21)))/sqrt(3). -12*sqrt(7) Simplify (sqrt(429)/sqrt(99))/(sqrt(96)/sqrt(8)). sqrt(13)/6 Simplify (-1*(sqrt(1872)*2 - sqrt(1872)) - (1 + sqrt(1872) + 5 - sqrt(1872)))**2 + -4. 144*sqrt(13) + 1904 Simplify -2*(-5*(-1 + sqrt(539) - s
{ "pile_set_name": "DM Mathematics" }
= -w, 4*h + 5*w = 9 for h. -4 Solve 4*j + x + 21 + 0 = 0, -5*j = -3*x + 5 for j. -4 Solve -3 = -a, 4*y - 429 = -5*a - 414 for y. 0 Solve -6 = 2*r, -11 - 4 = 3*l + 4*r for l. -1 Solve 3*a - 9 = 3*n, 0 = 9*a - 12*a + 9 for n. 0 Solve 0*g - g + 22 = 5*z, z = -3*g + 10 for z. 4 Solve 0 = -3*u + 4*u - d + 7, 0 = u + d + 1 for u. -4 Solve -3*a = 3*r + 3, 4*r + 12 + 10 = 5*a for r. -3 Solve -2*u - 3*i - 10 = 0, -3*u - 5*i = -58 + 73 for u. -5 Solve -3*r - 3 = -3*j, 17*j - 13*j + 5*r = -14 for j. -1 Solve -b - 4*j - 17 = 0, -4*j - 16 - 4 = 0 for b. 3 Solve 6 = -5*h - 92*p + 93*p, 0 = 5*p + 20 for h. -2 Solve -6*a + 0*a - 20 = 5*x, -3*a - 17 = -x for x. 2 Solve 2*p = 3*u - 3, 0 = -4*u - p + 5*p + 4 for u. 1 Solve 5 = 5*v + 5*i, -5*i = -v + 1 + 6 for v. 2 Solve -3*l + 4*j + 0 = -2, -2*l - 5*j - 14 = 0 for l. -2 Solve 0 = -3*y + g + 20, 38*g - 36*g + 28 = 4*y for y. 6 Solve 0 = -3*i + o + 16 - 5, -2*i - o = -9 for i. 4 Solve -w - 1 = z, -3*z = -w - 5*z for w. -2 Solve -3*i = 3*t, 2*t = 4*i - 0 + 6 for i. -1 Solve 3*m + 17 = -4*j, -3*j + 5 + 4 = -5*m for m. -3 Solve 0*r - 3*r + 21 = 3*x, 0 = -x + 4*r - 13 for x. 3 Solve -2*r + 30 = 4*l + l, l - 5*r = -21 for l. 4 Solve 58*n + 3 = 55*n + 3*c, c = -3*n + 9 for n. 2 Solve 3*n - n = -3*f + 7, 20 = 3*n - 5*f for n. 5 Solve 7*d + 15 = -5*t + 2*d, 2*d = t - 12 for t. 2 Solve 0 = -q + 3 - 5, -i - 5*q - 10 = 0 for i. 0 Solve l - 4*y - 15 = 0, 0*y = l + 2*y + 3 for l. 3 Solve 4*l - 2*t = -12, 2*t - 8 = -3*l - 24 for l. -4 Solve -3*s + 12 = 5*v, -s + 4*v - 11 = 2 for s. -1 Solve -3*p - 22 = 4*i - 0*i, 0 = -5*p + i - 6 for p. -2 Solve 4*h + 17 = -7*r + 2*r, 4*h = 3*r + 23 for r. -5 Solve -2*t = -4*m + 10, -42*t = 4*m - 47*t - 1 for m. 4 Solve -4*f = p + 11, -4*f - 2 = -4*p - 6 for f. -2 Solve -4*p + 2*p + l + 12 = 0, -3*l = 4*p - 4 for p. 4 Solve 5*m + 5*w = -15, 0 = m + m + 5*w for m. -5 Solve 29 = 4*a - 5*i, -28*a - 3*i = -32*a + 19 for a. 1 Solve 5*b + 29 = -g, -2*g - 3 = b + 10 for b. -5 Solve -4*n + 9 = l, 3*n - 4*l - 7 = -5*l for n. 2 Solve 0 = 3*m - 4*a + 4, 92*m - 96*m + a = 1 for m. 0 Solve -5*l = w - 10 - 14, 4*l = 5*w + 25 for l. 5 Solve 5*x = 2*o - 5, 3*x = -0*o + 5*o - 3 for x. -1 Solve -z = -5, 5*b - 10 = 23*z - 20*z for b. 5 Solve -9*s - 6 = -u - 4*s, 2*u + 3*s + 14 = 0 for u. -4 Solve -3*s = -5*m - 22, s = m - s + 10 for m. -2 Solve -2*l - 4 = 2*b, 3*b + 12 + 0 = -l for b. -5 Solve -b + 1 = 3*m, 5*b - 2*m = 12 + 10 for b. 4 Solve 0 = 5*y + 4*d, 0 = -3*y + 4*d - 2*d + 22 for y. 4 Solve f + 16 = -5*k + 13, -k - 15 = 5*f for f. -3 Solve -x - 103 = 5*z - 92, 5*z - 1 = x for z. -1 Solve -k - 7 = -2*d + 3*d, 0 = 5*k - 3*d + 11 for k. -4 Solve 2*z - 5*o = -4 - 2, 2*o + 12 = -4*z for z. -3 Solve 3*v - 2*a = -8, -5*a = 4*v - 9*a + 8 for v. -4 Solve -5*i - 20 = -o, -o = 2*i - i - 2 for o. 5 Solve 0 - 6 = 3*q + t, t = 3*q for q. -1 Solve g + 5*u + 28 - 13 = 0, -g - 11 = 4*u for g. 5 Solve 2*n + 2*h = -8, -3 = -0*h + h for n. -1 Solve -1 = -y, -a - a = 2*y - 8 for a. 3 Solve -3*n - 14 = -2*g + g, -4*n = -5*g + 15 for n. -5 Solve 3*r = 3*i - 4 - 8, -i = r - 6 for i. 5 Solve -4*g + 16 = -p + 4, 0 = p for g. 3 Solve 2 = -2*j - 4*f, j = f + 4 - 5 for j. -1 Solve 4*h = -2*f - 4, 3*h = -22*f + 18*f - 13 for f. -4 Solve 3*m = -2*p - 18 + 33, 0 = -4*p - m + 5 for p. 0 Solve 3*a + d = 15, -3*a + 20 = a - 3*d for a. 5 Solve -3*u + 21 = -4*y, -u = -5*y - 1 - 17 for y. -3 Solve -3*o - o - 20 = f, 4*f + 36 = -5*o for f. -4 Solve 4*g = -0*r + 4*r - 16, -2*g = 5*r + 15 for r. -1 Solve -5*p + 2 = 3*q + 7, 4*q - 16 = -p for q. 5 Solve 5*t - 4*z + 21 = -2*z, -3*t - 3*z = 0 for t. -3 Solve -l + 2*g = -111 + 110, 5 = -l - 4*g for l. -1 Solve 4*v + 4*c = 36, 7*c - 19 = -3*v + 6*c for v. 5 Solve u = 3*k + 10, 0 = u - 4*k - 14 - 0 for u. -2 Solve -2*l + 6*l - c = 13, 4*c = -l - 18 for l. 2 Solve -4*z - 11*h + 8*h = -1, -3*z - 4*h + 6 = 0 for z. -2 Solve 4 = -2*f - r - 1, -9 = -3*r for f. -4 Solve -65*v - 20 = -s - 61*v, 0 = 5*s + 5*v for s. 4 Solve 0 = 3*v + 3*m, 2265 = 4*v - 3*m + 2286 for v. -3 Solve 4*v - 2*n - 4 = 0, 2*n = -4*v + 32 - 12 for v. 3 Solve -5*g + 3*c = -13, 0 = -38*g + 39*g + 5*c + 3 for g. 2 Solve 8*x - 12*x = -4*z - 24, -8*x = -2*z - 24 for z. -4 Solve 0 = -3*o, 603*p - 4*o = 600*p - 3 for p. -1 Solve 3*i - 3*s + 15 = 0, -16 = 4*i + 11*s - 14*s for i. -1 Solve 0 = 2*t - 5*m + 25, 25 = -0*m + 5*m for t. 0 Solve 3*s = -i + 2*i - 16, -4*s - i - 19 = 0 for s. -5 Solve -4*b - 3 - 16 = -o, -4*o - 29 = 5*b for o. -1 Solve -7 + 1 = 2*m + 3*c, 15 = -5*m + 2*c for m. -3 Solve -3*a = -4*q - 17, 3*q = 5*a + 2*q for a. -1 Solve -3*f - 2*b + 11 = -3*b, -b = -4*f + 15 for f. 4 Solve 5*b - 3*b - r + 10 = 0, b - 13 = -4*r for b. -3 Solve 9*g - 21 = -b + 4*g, -2*b + 4*g = 14 for b. 1 Solve -2*f = 4*z + 22, -2*z + 5*f = -5 - 14 for z. -3 Solve 2*d - 8 = -z, -55*z + 54*z - 5*d = -14 for z. 4 Solve 0 = -4*m - 3*q + 11, -2*q - 31 + 0 = -5*m for m. 5 Solve 2*z - 10 = -g, 6 = 2*g + 3*z - 9 for g. 0 Solve -3*s = -6*t + 2*t + 4, 0 = -t - 2*s + 1 for t. 1 Solve -3*d - 23 = 2*u, -203*u = -200*u - 5*d - 13 for u. -4 Solve 2*v + 30 = -4*r, 5*v + 21 = 2*r + 6 for v. -5 Solve 0 = -c - 4*x + 9, -16*c = -21*c + 4*x + 21 for c. 5 Solve -l + o = l + 3, -5*o = 2*l - 15 for l. 0 Solve 0*f + 5*f = c - 10, 2*f + 27 = 5*c for f. -1 Solve 5*n + 21 = -7*c + 5*c, 5*n - 5*c = -35 for n. -5 Solve 0 = c + 5*w - 7, -48*w = 4*c - 51*w - 5 for c. 2 Solve 0 = -2*l + 4*r - 20, -33*l = -31*l - r + 11 for l. -4 Solve 4*s = v + 18, 3*s - 17 - 8 = -5*v for v. 2 Solve 3*w - 8*w + 2*u = -29, 5*w + u - 8 = 0 for w. 3 Solve x - 1 - 4 = -2*k, -5*x + 25 = k for k. 0 Solve 5*k = 2*f + 19, 2*k - 25 = 5*f - 9 for f. -2 Solve -2*f + 13 = -c + f, 2*f - 10 = 2*c for c. -1 Solve 3*v - 9 = 5*n, -4*v + 2 + 2 = -4*n for v. -2 Solve 0 = 16*x - 11*x - 3*j - 9, 2*j = 3*x - 5 for x. 3 Solve -5*v + o = 3*o - 14, -3*o = -6 for v. 2 Solve 0 = 4*p - 5*s, -3*s = -8*s for p. 0 Solve -2*b = 4*s - 18, -b + 46*s - 43*s - 1 = 0 for b. 5 Solve -5*n - 7*b + 4*b + 14 = 0, 10 = -5*n + 5*b for n. 1 Solve -p = -3*t + 16, t - 6*t = 3*p - 8 for p. -4 Solve -6*l = -2*l - t + 1, l - 3*t + 3 = 0 for l. 0 Solve -4*o = -4*d - 20, -1 = -4*d - 21 for o. 0 Solve -v = 4*g - 4*v - 6, -v - 2 = 3*g for g. 0 Solve s = y - 4 - 0, -y = -4*s - 13 for s. -3 Solve 0 = -5*h + 2*t + 17, -4*h - t + 9 = 2*t for h. 3 Solve -2 = -3*b + 5*a, 2*b + 20 = -2*a + 16 for b. -1 Solve 4*k + 4 = -2*i, 6*k = -3*i + 2*k for i. 4 Solve 0 = -3*n + 3, -5*g + 4 = -5*n + 9 for g. 0 Solve r - 3 = 4*u - 0*r, -8 = 5*u + 3*r for u. -1 Solve 2*s + 2 = u - 4, -3*s + 6*u = 0 for s. -4 Solve 3*c + 4*q + 7 = 0, 4*q = 5*c - 17 - 14 for c. 3 Solve -w - q + 8 = 0, -7*q = -4*w - 5*q + 8 for w. 4 Solve 2*o - 1 = -o + 5*b, o + b + 5 = 0 for o. -3 Solve 2*z = -0*z + 2*y - 6, -1 = z + y for z. -2 Solve 4*v + 28 = 168*r - 164*r, -20 = -4*r for v. -2 Solve -2*s = 5*n - 23, 7 = 2*n + 5*s + 2 for n. 5 Solve 21 = 31*q - 34*q - 3*a, -2*q + 4*a = -4 for q. -4 Solve r - 5*i = -20, -r - 5*i = -6*i + 8 for r. -5 Solve 4*x = 3*u - 8, 8*u - 3*u - 2*x + 10 = 0 for u. -4 Solve -2*y - 49 = -2*c - 29, 2*y - 3*c + 25 = 0 for y. -5 Solve 3 = -3*r - t - 5, -5*t = 2*r - 12 for r. -4 Solve 2 = v, -5*y - 48*v + 53*v - 35 = 0 for y. -5 Solve 0 = -2*b - 4*s, 0*b = -3*b + 4*s for b. 0 Solve 4*p + 6 + 7 = -5*o, o = p - 8 for p. 3 Solve -4*l = -4*z - 12, -5*z + 2*z - 2 = -2*l for z. 4 Solve -3*a - 3 = 3*f, 4*f + 11*a = 9*a - 10 for f. -4 Solve 3*t - 2*f + 4*f = 10, 5*t - 20 = -4*f for t. 0 Solve 2*y - q = 9, 0 = -4*y - 3*q + 7*q + 16 for y. 5 Solve 7 = -4*h - 7*x + 6*x, 4*h - 3*x + 27 = 0 for h. -3 Solve -1673*s - c = -1670*s + 14, -5*s = 4*c + 28 for s. -4 Solve -5*g - 19 = -3*v, -v = -4*g + 5*g - 1 for v. 3 Solve -5*s + 0*s = -2*l + 19, -3*l + 6 = 0 for s. -3 Solve m = 5*v - 6, 20*v - 3*m + 16 = 22*v for v. 2 Solve -11 = 3*q - i, -2*i - 14 = 2*q - 6*i for q. -3 Solve 5*r = -0*s + 2*s - 5, 4*r + 4 = -s for s. 0 Solve v = -3*k - 10, -4*v - 3 = 2*k + 7 for v. -1 Solve 5*d = -39*p + 43*p - 23, 0 = -3*p + 6 for d. -3 Solve 0 = -3*y - 12, 0*y + 2*y - 8 = -4*u for u. 4 Solve -13 = a - 4*r + 10, 0 = 4*a + 3*r - 3 for a. -3 Solve 4*w = 4*q - 26 + 66, 3*w = -3*q for w. 5 Solve -2 = h, t - 6*t = -5*h - 20 for t. 2 Solve 0 = -2*m + 4*l + l - 1, 2*l = m for m. 2 Solve 4*k - 15 = a, 3*a + 6 = -3 f
{ "pile_set_name": "DM Mathematics" }
2, -0.2? -0.2 Which is the fourth biggest value? (a) 0.2 (b) 5 (c) -1/5 (d) 2/15 c Which is the third smallest value? (a) 3 (b) -5 (c) 4/5 (d) -16 c Which is the third biggest value? (a) -1/11 (b) 2/11 (c) 0.06 (d) 0 d What is the biggest value in 4, -1/4, 3, 2? 4 Which is the third smallest value? (a) -1/3 (b) 2 (c) 10 c What is the fourth smallest value in 0.1, 4, -0.1, 35.7? 35.7 Which is the biggest value? (a) -0.1 (b) 9 (c) 1/16 b Which is the biggest value? (a) -4 (b) -0.3 (c) 149 c What is the smallest value in 0.3, -0.038, 3/2, 2? -0.038 Which is the fourth smallest value? (a) 1 (b) -0.08 (c) -3 (d) 3/11 a Which is the second biggest value? (a) 0 (b) -0.08 (c) -0.02 c Which is the smallest value? (a) 0.4 (b) 0.07 (c) -1/9 c Which is the second biggest value? (a) -0.3 (b) 82 (c) 1/13 c What is the fifth smallest value in -1, -2/17, 0.4, 0.14, -0.4? 0.4 What is the second smallest value in -3/13, -2, -2/11, -2/9? -3/13 Which is the biggest value? (a) -1/4 (b) 3 (c) 2/5 (d) -2/7 b Which is the third smallest value? (a) 5 (b) -7 (c) 12 (d) 0.3 a What is the fifth biggest value in 1/5, 112, -3, 2/3, -2? -3 What is the smallest value in 0.2, -0.3, -1/6, 60? -0.3 Which is the third smallest value? (a) 3/47 (b) 0.07 (c) 2 (d) -3/2 b What is the biggest value in -4/5, 0.5, 52? 52 Which is the second biggest value? (a) 7 (b) -109 (c) -0.2 c Which is the fourth biggest value? (a) -5 (b) 4 (c) -2 (d) 2 (e) -0.17 c Which is the second biggest value? (a) -5 (b) -4/11 (c) -1 c Which is the biggest value? (a) -1 (b) -4/9 (c) 0.937 c Which is the second smallest value? (a) -5 (b) 9 (c) 76 (d) 0.4 (e) -0.4 e What is the biggest value in 0.1, -2, 3, -3? 3 What is the third biggest value in 2.1, 0.2, 0.03, -1? 0.03 What is the fourth biggest value in -0.034, -3, -0.2, -2? -3 Which is the fourth biggest value? (a) 1 (b) -1/3 (c) 4 (d) -66 d Which is the smallest value? (a) -0.5 (b) 3 (c) -0.4 (d) 38 (e) 1/3 a What is the fourth biggest value in 0.08, -5, -2, -2/3? -5 What is the biggest value in 5, 233, 1/10? 233 Which is the second smallest value? (a) -589 (b) 1 (c) -2 c Which is the third smallest value? (a) -4 (b) 1446 (c) -5 b Which is the smallest value? (a) 0.16 (b) -0.2 (c) 5 (d) -1/11 b Which is the second smallest value? (a) -3 (b) 1/10 (c) 0 (d) -3/4 (e) -4 a What is the third biggest value in -0.04, 0.05, 1/6, 1? 0.05 What is the fourth biggest value in -0.5, 5, 6, 11, 0.4? 0.4 Which is the third smallest value? (a) 4 (b) 0 (c) 29 c What is the fourth biggest value in 2, 3, 0, 0.02, -10? 0 Which is the third biggest value? (a) 0.064 (b) -55 (c) -0.1 b Which is the smallest value? (a) 0 (b) 9 (c) 72 a What is the third biggest value in 15, 7, -1/4, 4? 4 Which is the smallest value? (a) -51 (b) 2/11 (c) 5 a What is the second smallest value in 3/7, -42, 1/7, 0.3, 0.1? 0.1 What is the second smallest value in -1/2, -3, -0.138? -1/2 Which is the fifth biggest value? (a) -0.3 (b) 0.1 (c) -4 (d) 5 (e) 53/15 c Which is the smallest value? (a) -1/2 (b) -1/3 (c) -8 c What is the fifth biggest value in -2/11, -4, -3, -60, 1/3? -60 What is the fifth biggest value in -3, 1/9, -0.1, -0.3, -2? -3 What is the biggest value in -0.34, 1, 3/5? 1 What is the smallest value in -2/3, 1/2, -0.3, -3? -3 Which is the third smallest value? (a) 111 (b) 5 (c) 0.3 (d) -0.4 b Which is the second biggest value? (a) -7 (b) -5 (c) 8 (d) -4/3 d Which is the smallest value? (a) 1.5 (b) 1/8 (c) 7 b What is the second biggest value in 0, 7, 0.1? 0.1 Which is the second biggest value? (a) 4/5 (b) -4 (c) 0.072 c Which is the fourth biggest value? (a) 2.2 (b) -3/4 (c) -1 (d) 0.1 (e) 3 b What is the smallest value in -1.9, -0.1, -0.5, 1? -1.9 What is the smallest value in -0.422, 2, 6/7? -0.422 Which is the second biggest value? (a) -2 (b) -2/41 (c) -1 (d) -1/7 d What is the smallest value in 1, -0.3, 7, -0.4? -0.4 What is the second smallest value in -0.7, -65, -2, -1/4? -2 Which is the third smallest value? (a) 2/3 (b) -13 (c) -1 (d) -12 c What is the second smallest value in 2/3, 1.6, 27, -1/4? 2/3 What is the fourth biggest value in -5, -1, 7, -0.4? -5 Which is the third smallest value? (a) -2/159 (b) -4/5 (c) -1 (d) 4/5 a Which is the fourth smallest value? (a) -4/3 (b) 76 (c) -0.3 (d) -2/7 b What is the third smallest value in 2, -0.09, -0.4, -1/14, -3? -0.09 Which is the second smallest value? (a) 423/4 (b) -3 (c) 5/2 (d) -2 (e) 1/2 d Which is the third smallest value? (a) -2.42 (b) -1 (c) -5 (d) -3 a What is the fourth biggest value in 0.3, -2/9, -1, 12/17? -1 Which is the third smallest value? (a) -1/2 (b) 2/5 (c) 2 (d) -483 b Which is the biggest value? (a) 4 (b) -4/7 (c) -18 (d) -1/2 a Which is the biggest value? (a) 11 (b) -5 (c) 2/9 a What is the third smallest value in -0.2, -50, -2/3? -0.2 What is the second biggest value in 0, 2/11, -96? 0 Which is the fourth smallest value? (a) 2/7 (b) 3 (c) 3/7 (d) 8 (e) -4/3 b What is the biggest value in 4, -5, -0.2, 0.6? 4 What is the biggest value in 11, 4, -3? 11 Which is the third smallest value? (a) -3 (b) 1 (c) -136 (d) -0.1 (e) 2/3 d Which is the second smallest value? (a) 145/4 (b) 5/2 (c) 3 c Which is the third biggest value? (a) 0.065 (b) 0.04 (c) 5 b Which is the second smallest value? (a) -2 (b) 0 (c) 0.3 (d) -10 a Which is the third biggest value? (a) 2 (b) -8 (c) -0.3 (d) -1 (e) -4 d Which is the smallest value? (a) -0.2 (b) -3/20 (c) 3/8 a What is the smallest value in -5, -0.52, -3? -5 Which is the third smallest value? (a) -1/4 (b) -1/6 (c) -0.5 b What is the third biggest value in 4, 5, 5/4, 6? 4 Which is the second biggest value? (a) 1/5 (b) -932 (c) 1 (d) -1 a Which is the biggest value? (a) -0.6 (b) -0.04 (c) -1.2 (d) 5 d Which is the third smallest value? (a) 0.1 (b) -2 (c) -1/3 (d) -9 c What is the biggest value in 1, 1.3, -0.6? 1.3 Which is the third smallest value? (a) 3/14 (b) -2/41 (c) -3 a Which is the fourth smallest value? (a) -0.3 (b) 2/3 (c) 0 (d) -2 (e) 4 b What is the second smallest value in -273, -2, 1/3? -2 Which is the second biggest value? (a) 1 (b) 0.5 (c) 0.46 (d) -0.2 b Which is the third smallest value? (a) -73 (b) -3 (c) 5 (d) -5 b Which is the third smallest value? (a) 2 (b) 12 (c) 4/5 (d) 9 d What is the second smallest value in 4, -2/11, 3? 3 What is the second smallest value in -0.4, -171, 2, -3? -3 Which is the second biggest value? (a) -41.9 (b) 5/8 (c) 1/12 c What is the fourth smallest value in 8/9, -1.5, 2, -4? 2 What is the third smallest value in 5, 2161, 3/7, -0.1? 5 What is the second biggest value in 0.3, -4, 8, 3? 3 What is the second smallest value in -1, 24, -1/2, -3/4? -3/4 What is the second biggest value in -3, 2, 5, 0.4? 2 Which is the second smallest value? (a) 16 (b) 1/4 (c) 3/5 c What is the third biggest value in -314, -6, 3/7? -314 What is the smallest value in 1, -16, 0? -16 What is the second biggest value in 0, 6, 2? 2 What is the smallest value in 5, -0.1, 34/3? -0.1 What is the third smallest value in -5, 4.44, 4/5? 4.44 What is the biggest value in 2/3, 1/6, -4, 105? 105 Which is the third biggest value? (a) -3 (b) -26 (c) -2/19 b What is the smallest value in 239, 0.1, -4? -4 What is the third smallest value in -8, 3, -3, -1/14? -1/14 Which is the third smallest value? (a) -5 (b) 48.4 (c) 32 b Which is the third smallest value? (a) -1/9 (b) 18 (c) -1/5 (d) 0.1 d Which is the fourth smallest value? (a) -1/3 (b) -2 (c) -21 (d) -6 a Which is the biggest value? (a) -1/4 (b) -8/3 (c) -4/9 a What is the fourth smallest value in 10, -52, 2, 0.4? 10 Which is the second smallest value? (a) -2.2 (b) 2/11 (c) 3 (d) -5 a Which is the third smallest value? (a) 36 (b) -2/5 (c) 0.5 a Which is the smallest value? (a) 7 (b) 1836/11 (c) 2/21 c Which is the second smallest value? (a) 5 (b) -32 (c) -4 (d) -1/4 (e) 3 c What is the third biggest value in -3, -105/4, 0.09? -105/4 What is the biggest value in -1, -2, 2/9, 0.04, -5? 2/9 What is the smallest value in 0.5, -2, 11, 4, -1? -2 Which is the fourth biggest
{ "pile_set_name": "DM Mathematics" }
2 Let r(v) = -10*v**3 - 3*v**2 - 7*v. Let z(k) be the first derivative of 3*k**4/4 + k**3/3 + k**2 + 436. Determine 2*r(c) + 7*z(c). c**3 + c**2 Let l(g) = -16*g + 127. Let v(t) = -44*t + 377. Determine -8*l(i) + 3*v(i). -4*i + 115 Let k be (-5)/(-15) - ((-92)/12 + -1). Suppose 4*c - 3*n - 1 - k = 0, 3*c + 4*n = -5. Let x(m) = 6*m**2 + m + 2. Let w(h) = h**2. Calculate c*x(d) - 5*w(d). d**2 + d + 2 Let r(o) = 13 - 38*o - 13. Let b(u) be the second derivative of -13*u**3/6 + 773*u. What is 14*b(w) - 5*r(w)? 8*w Let q(n) = -2*n**3 + 4*n**2 - 7551*n - 4. Let w(r) = -4*r**3 + 9*r**2 - 15102*r - 9. What is 9*q(t) - 4*w(t)? -2*t**3 - 7551*t Let d(h) = -8*h**3 - 1060*h + 3. Let c(x) = -10*x**3 + 3. Calculate c(s) - d(s). -2*s**3 + 1060*s Let n(u) = 40*u**3 - 1523*u**2 - 40. Let a(k) = 7*k**3 - 254*k**2 - 7. Calculate -23*a(b) + 4*n(b). -b**3 - 250*b**2 + 1 Let u(h) = -2*h**3 + 4*h**2 - 4*h - 6. Let d(q) = 2*q**3 - 5*q**2 + 5*q + 7. Let k = -32709 - -32703. What is k*u(w) - 5*d(w)? 2*w**3 + w**2 - w + 1 Let z(i) be the second derivative of 20*i**3/3 + i**2 - i - 2999. Let h(q) = -q**2 + 81*q + 5. Calculate 2*h(u) - 5*z(u). -2*u**2 - 38*u Let f(k) = -2169*k**2 - 7*k - 15. Let o(s) = 1084*s**2 + 4*s + 9. What is 3*f(y) + 5*o(y)? -1087*y**2 - y Let i(o) = o**2 - 26*o + 1. Let g be i(26). Let v(x) = 761*x - 756*x + 3 - 3 - g. Let a(p) = 4*p - 1 + 4*p - 4*p. Determine 4*a(j) - 3*v(j). j - 1 Let z(w) = -321*w**3 - 7*w**2 + 16*w - 18. Let a(n) = 160*n**3 + 3*n**2 - 7*n + 8. Calculate -9*a(y) - 4*z(y). -156*y**3 + y**2 - y Let y(f) be the second derivative of f**5/4 + f**4/6 - 2*f**3/3 - 3*f**2 + 886*f. Let i(g) = -4*g**3 - g**2 + 4*g + 5. Calculate 6*i(l) + 5*y(l). l**3 + 4*l**2 + 4*l Let w be 36/(-6) + (-30)/(-6). Let h(k) = -k**2 + k - 1. Let f(z) = -z**2 + 2*z - 7. Calculate w*f(m) + 4*h(m). -3*m**2 + 2*m + 3 Let q(f) = 6 + 4 - 1 - 39*f - 6 + 43*f. Let a(z) = 4*z + 4. Calculate 2*a(g) - 3*q(g). -4*g - 1 Let y(r) = -1133*r**2 - 24*r - 5. Let g(m) = 756*m**2 + 17*m + 4. Give 7*g(l) + 5*y(l). -373*l**2 - l + 3 Let b(t) = -168*t + 5. Let k(v) = 44*v - 1. Let u(h) = -3*b(h) - 12*k(h). Let i(n) = 8*n + 1. Calculate 11*i(p) + 4*u(p). -8*p - 1 Let w(k) = 6*k**3 - 6*k**2 + 3*k + 13. Let p(h) = h**3 - 3*h**2 + 2*h + 1. Give -2*p(j) + w(j). 4*j**3 - j + 11 Let y(r) = -31*r - 4. Let u(v) = 31*v + 5. Let j = -1235 + 1230. Determine j*u(g) - 6*y(g). 31*g - 1 Let j(t) = 2175*t - 26. Let s(c) = 2176*c - 30. Give 7*j(m) - 6*s(m). 2169*m - 2 Let c(j) = -4*j**2 - 7*j + 3. Let q be 120/(-55)*(-24 + 183/9). Let h be 4/(-10) - 46/10. Let g(t) = -6*t**2 - 12*t + 0*t + 5 + t. What is h*g(y) + q*c(y)? -2*y**2 - y - 1 Let t(a) = -4*a**3 - 6*a**2 + 5*a - 6. Suppose -4*d - 4*v = -40, 4*d - 3*v = 36 + 4. Let m(l) = 1 + d*l**2 + 12*l**2 - l - 21*l**2. What is -6*m(p) - t(p)? 4*p**3 + p Let m(y) = -2*y**3 + y**2 - y - 3. Let r(c) = -366*c**3 - 6*c**2 + 4*c + 13. What is 4*m(o) + r(o)? -374*o**3 - 2*o**2 + 1 Let m(t) = 11*t**2 + 4*t + 1. Let r(z) = 32*z**2 + 11*z + 3. Suppose -2*y = 2*o + 46, -12*y = -o - 16*y - 41. Determine o*m(q) + 6*r(q). 5*q**2 - 2*q + 1 Let y(t) = 18*t**2 - 146*t + 12. Let w be y(8). Let z(n) = 2*n**2 - 16*n - 1. Let c(p) = -2*p**2 + 15*p + 1. What is w*z(a) - 5*c(a)? 2*a**2 - 11*a - 1 Let k(r) be the first derivative of 2*r**3/3 + 3*r**2/2 + 6*r - 3984. Let y(l) = 2*l**2 + 3*l + 5. Determine -4*k(q) + 5*y(q). 2*q**2 + 3*q + 1 Suppose 11*i + 15 = 14 - 21. Let w(g) = 2*g - 1. Let l(c) = 2*c. Calculate i*w(s) + l(s). -2*s + 2 Let v(x) = 11*x - 2. Let t(f) = -37*f + 3. Let l(s) = -2*t(s) - 6*v(s). Let m(r) = -7*r - 5. Give -6*l(q) - 7*m(q). q - 1 Let d = -2133 - -2132. Let i(m) = -6*m**2 + 7*m + 2. Let z(f) = -f**2 + f. What is d*i(j) + 5*z(j)? j**2 - 2*j - 2 Suppose 272*r - 33 + 148 = 81*r + 76*r. Let z(l) = 4*l + 7. Let g(c) = -c + 1. Let j(n) = 5*n - 6. Let y(f) = -6*g(f) - j(f). What is r*z(q) + 5*y(q)? q - 7 Let f(z) = -3*z + 5*z**3 - 3*z + z + 1 + 654*z**2 - 654*z**2. Let q(r) = 6*r**3 - 6*r + 2. Let c(s) = s - 5. Let v be c(8). Determine v*q(l) - 4*f(l). -2*l**3 + 2*l + 2 Let c(p) = 14*p**2 - 173*p + 9. Let x(i) = -11*i**2 + 174*i - 7. Determine 4*c(d) + 5*x(d). d**2 + 178*d + 1 Let w(d) = 280*d + 3. Let s(v) = -v. Calculate 4*s(q) - w(q). -284*q - 3 Let p(j) = -6787*j - 12. Let i(k) = 2626568*k + 4650. What is 4*i(a) + 1550*p(a)? -13578*a Let o(v) = 5*v**3 - 3*v**2 + 3*v + 3. Let j(d) = -7*d**2 - 103*d**3 + 7*d + 16 + 112*d**3 + 11 - 20. Calculate 6*j(b) - 14*o(b). -16*b**3 Let q(j) = 2*j - 11. Let n be ((-1395)/(-3255))/((-6)/56). Let c(m) = 1. Determine n*c(x) - q(x). -2*x + 7 Let w(r) = 3607*r - 2. Let l(o) = 1804*o - 1. Determine 9*l(t) - 4*w(t). 1808*t - 1 Let s(h) = 8*h + 1. Let x(k) = 819*k + 10. Give 3*s(c) - x(c). -795*c - 7 Let l(y) = -1 - 3*y - 4*y + 9*y. Let n(c) = c**2 + 31*c + 236. Let z be n(-17). Let b(g) = -2*g + 1. Determine z*l(k) - 3*b(k). 2*k - 1 Let u(o) be the first derivative of 9*o**2/2 - 2*o + 800. Let b(k) = -9*k + 2. Give 7*b(c) + 6*u(c). -9*c + 2 Let p(i) = 4*i**2 - i. Let u(d) = -21*d**2 + 4*d - 1. Let t be (4/5)/(-1) - 472*(-11)/440. Calculate t*p(n) + 2*u(n). 2*n**2 - 3*n - 2 Let k(u) = 5*u**3 - 2*u - 3. Suppose 5 = -3*w - 2*o, 5*w - 295 = -o - 308. Let b(r) = r**2 + r + 1. Give w*b(y) - k(y). -5*y**3 - 3*y**2 - y Let l(r) = -r + 1. Let a(z) = -2*z + 5. Let p be (-2)/(-9) + 29/(-9). Let q be (-1)/p - 4/3. Let w = 66 + -60. Calculate q*a(v) + w*l(v). -4*v + 1 Let r(c) = -6*c**2 - 38. Suppose -15*u - 7*u - 406 = 36*u. Let d(l) = 4*l**2 + 25. Determine u*d(p) - 5*r(p). 2*p**2 + 15 Let x(s) = -3 + 2 + 2. Let g = 631 + -200. Let n(f) = -868 + 433 - 2*f + g. Determine n(u) + 4*x(u). -2*u Let s(q) = -4*q**3 - 2*q**2 + 239*q + 5. Let n(l) = -7*l**3 - 3*l**2 + 472*l + 9. What is -6*n(o) + 11*s(o)? -2*o**3 - 4*o**2 - 203*o + 1 Let q(m) = 22*m + 2311. Let y(w) = 9*w + 1155. Determine 2*q(a) - 5*y(a). -a - 1153 Let j(s) = 14*s**3 + 50*s**2 + 702*s + 11. Let p(h) = 5*h**3 + 17*h**2 + 236*h + 4. Give 4*j(u) - 11*p(u). u**3 + 13*u**2 + 212*u Let k be (-2)/8 + 147/28. Let i(p) = 1. Let v = 2 - 1. Let l(j) = 2 - v + 1 - 47*j + 46*j. What is k*i(o) - l(o)? o + 3 Let g(t) = 116*t + 40. Let q(c) = 115*c + 38. Give -7*g(y) + 6*q(y). -122*y - 52 Let v(t) = -881*t**2 + 11*t + 177. Let o(h) = 221*h**2 - 3*h - 39. Calculate 9*o(b) + 2*v(b). 227*b**2 - 5*b + 3 Suppose -3*r + 3 = -3. Let x(l) be the second derivative of 9*l**5/20 - l**3/3 + l**2 + 3*l - 1053. Let p(c) = 154*c**3 - 35*c + 35. What is r*p(g) - 35*x(g)? -7*g**3 Let v be (0 + (2 - -8)/(42/(-21)))*41. Let a(k) = 2296*k**3 - 205*k - 205. Let z(d) = -45*d**3 + 4*d + 4. Give v*z(t) - 4*a(t). 41*t**3 Suppose -5*x - 25 = -5*g, -14*g + 12*g + 6 = 2*x. Let t(h) = -2*h**2 - 4*h + 1. Let a(i) = -2*i**2 - 4*i. Calculate g*a(v) - 3*t(v). -2*v**2 - 4*v - 3 Let d(s) = -2*s**3 + 5*s + 9. Let r(o) = 12*o**2 - 5*o - 13. Let g(w) = -w**3 - 20*w**2 + 11*w + 26. Let p(v) = -3*g(v) - 5*r(v). Calculate -8*d(f) - 5*p(f). f**3 - 7 Let d(z) = -57*z**2 + 286*z + 12. Let j(c) = 28*c**2 - 145*c - 7. Give -3*d(a) - 5*j(a). 31*a**2 - 133*a - 1 Let o(n) = -82 - n**2 + 91 - 10. Let r(m) = m**3 + 6*m**2 + 2. Let y(k) = -k**2 + k. Let x(h) = -r(h) - 4*y(h). Give -2*o(u) + x(u). -u**3 - 4*u Let w(o) = 12*o**3 - o**2 - 5. Let u(q) = 11*q**3 - q**2 - q - 8. Calculate -2*u(i) + 3*w(i). 14*i**3 - i**2 + 2*i + 1 Let v(b) = -b**2 + 14*b - 2. Let q(u) = 5*u**2 - 42*u - 1447. Give q(x) + 3*v(x). 2*x**2 - 1453 Let r(f) = f - 2. Let i(x) be the first derivative of -61 - 10*x - 1/3*x**3 + 5/2*x**2. Determine -2*i(v) + 11*r(v). 2*v**2 + v - 2 Let b(z) = 147*z - 10050. Let l(f) = 211*f - 14357. Give 23*b(u) - 16*l(u). 5*u - 1438 Let j(z) = 15544 - z**2 - 15540 - 29*z**3 - 4*z + 5*z**2. Let k(c) = -638*c**3 + 87*c**2 - 87*c + 87. Give 87*j(v) - 4*k(v). 29*v**3 Let q = 22943 + -22936. Let t(d) = -2 + 9*d**3 + 3 + 5*d + 4 + 3*d**2. Let a(g) = 13*g**3 + 4*g**2 + 7*g + 7. Calculate q*t(f) - 5*a(f). -2*f**3 + f**2 Let k be (2 - (-3 - -6))/((-2)/(-4)). Let f(q) = 5*q - 2. Let b(y) = -56*y + 26. Let i(l) = -19*l + 9. Let t(s) = 3*b(s) - 8*i(s). What is k*t(m) - 7*f(m)? -3*m + 2 Let b(g) = -g**3 - 2*g**2 - 1. Let q(a) be the first derivative of 3/4*a**4 + 0*a**2 + 2*a**3 + 2*a - 52. Give 11*b(u) + 4*q(u). u**3 + 2*u**2 - 3 Let p(l) = -74*l -
{ "pile_set_name": "DM Mathematics" }
25681236. 333856068 Find the common denominator of 32/3905 and -23/435. 339735 Find the common denominator of -47/7 and -38/3075655. 21529585 What is the smallest common multiple of 3111 and 21054245? 3852926835 What is the common denominator of -13/79748 and -34/99685? 398740 What is the least common multiple of 48565 and 1595? 1408385 Calculate the least common multiple of 820721553 and 27. 7386493977 What is the common denominator of -119/200 and 131/702? 70200 What is the lowest common multiple of 15953994 and 53838? 47861982 What is the lowest common multiple of 164 and 299382? 598764 Calculate the lowest common multiple of 18469 and 899652. 227611956 Calculate the common denominator of 29/3064 and -47/406422. 622638504 Find the common denominator of 11/4776390 and 44/11940975. 23881950 What is the common denominator of -161/403182 and 73/1356? 91119132 Calculate the lowest common multiple of 84953997 and 33. 934493967 Calculate the common denominator of -4/3 and -145/4054872. 4054872 What is the least common multiple of 5912027 and 2365? 29560135 Calculate the smallest common multiple of 1568 and 267442. 4279072 Calculate the least common multiple of 617373100 and 6. 1852119300 Find the common denominator of 13/136158541 and -59/42997434. 816951246 What is the lowest common multiple of 31826 and 7479110? 7479110 Calculate the lowest common multiple of 52464321 and 45981. 52464321 Calculate the smallest common multiple of 24531 and 50883. 416070291 Calculate the common denominator of 139/2307228 and -79/659208. 4614456 Calculate the smallest common multiple of 510840 and 854496. 46997280 What is the least common multiple of 4660 and 574960? 133965680 Calculate the smallest common multiple of 17897168 and 3038. 876961232 Calculate the least common multiple of 2038047 and 4530. 20380470 Calculate the least common multiple of 1094320 and 12612038. 504481520 What is the least common multiple of 2376710 and 39314? 26143810 Calculate the smallest common multiple of 60 and 2035296. 10176480 Calculate the common denominator of 127/2986632 and 57/9218. 2986632 What is the common denominator of 79/40 and 109/639962720? 639962720 Calculate the common denominator of -83/6061086 and 163/30. 30305430 Calculate the common denominator of 65/278553 and -113/132. 1114212 Calculate the common denominator of -57/930832 and -41/308. 10239152 Calculate the common denominator of -119/82463730 and 127/4596. 164927460 What is the least common multiple of 19688850 and 5906655? 59066550 Find the common denominator of -29/5315 and -11/265861. 1413051215 Find the common denominator of 113/11195334 and 139/5404644. 156734676 Calculate the common denominator of 15/640688 and 61/188028. 17298576 What is the common denominator of 145/3222 and -42/169? 544518 What is the least common multiple of 326560 and 3200288? 16001440 Calculate the lowest common multiple of 75 and 1714565. 25718475 Find the common denominator of -25/3367364 and 31/58240. 538778240 Calculate the least common multiple of 22357944 and 2862. 22357944 Calculate the least common multiple of 246 and 1686699. 3373398 What is the common denominator of 15/160003088 and 47/1771? 1760033968 What is the common denominator of -81/9126032 and -51/570377? 9126032 Calculate the common denominator of -23/1024 and -89/712650. 364876800 Find the common denominator of -91/1556372 and 59/53668. 1556372 Find the common denominator of -5/31251242 and 87/8. 125004968 What is the least common multiple of 1371048 and 38389344? 38389344 Calculate the common denominator of -53/1473525 and -163/4584300. 41258700 What is the lowest common multiple of 21 and 5410398? 5410398 Calculate the common denominator of 5/50923837 and 18/3805. 254619185 Calculate the smallest common multiple of 3937348 and 24. 23624088 What is the common denominator of 115/3121266 and 151/3492? 18727596 What is the lowest common multiple of 1209 and 4843285? 188888115 Calculate the least common multiple of 272 and 4305573. 68889168 What is the common denominator of 27/692 and 51/16774? 5803804 Find the common denominator of 11/37014 and 25/73232. 6810576 Calculate the lowest common multiple of 54000 and 6750. 54000 What is the common denominator of 61/1430 and -95/58872? 3826680 Find the common denominator of -70/5751849 and 44/4167. 17255547 Calculate the common denominator of -3/2023 and 59/1186. 2399278 Find the common denominator of -24/539 and 46/96873. 1065603 What is the smallest common multiple of 476560 and 109890? 141538320 What is the lowest common multiple of 4450 and 4289800? 4289800 What is the least common multiple of 2595 and 239331? 207021315 Calculate the least common multiple of 41764773 and 13374. 250588638 Calculate the common denominator of 71/328848 and 13/3817588. 595543728 Calculate the lowest common multiple of 7 and 6435331. 6435331 Calculate the common denominator of -14/29 and -8/2130717. 2130717 What is the common denominator of 99/8830040 and -24/173289535? 1386316280 Calculate the smallest common multiple of 5300 and 12126. 32133900 What is the common denominator of -7/361410396 and 25/44172? 3252693564 Calculate the lowest common multiple of 2776669 and 40856701. 285996907 What is the common denominator of 87/8 and 68/2114997? 16919976 What is the lowest common multiple of 7951734 and 641844? 143131212 What is the least common multiple of 12409662 and 1743? 86867634 What is the smallest common multiple of 2273132 and 307180? 11365660 Calculate the least common multiple of 3315270 and 2368050. 16576350 Calculate the lowest common multiple of 535432068 and 31496004. 535432068 Calculate the common denominator of 2/8585 and -25/26343931. 131719655 Calculate the common denominator of -31/2849250 and -1/3912970. 293472750 Calculate the least common multiple of 44143 and 80260. 882860 Calculate the lowest common multiple of 639120 and 1704320. 5112960 Calculate the least common multiple of 20025060 and 849548. 140175420 Calculate the common denominator of 97/7208 and -25/216171524. 432343048 What is the common denominator of 56/3315945 and -70/570651? 122689965 Calculate the common denominator of 17/6423522 and -103/98. 44964654 What is the lowest common multiple of 17212 and 26780? 8864180 What is the common denominator of 139/36876 and 193/645330? 1290660 What is the smallest common multiple of 787232 and 86272? 6297856 What is the lowest common multiple of 864987 and 64? 55359168 Find the common denominator of -109/15890 and 109/483510. 3384570 Calculate the common denominator of 113/1303548 and 47/184. 2607096 Calculate the smallest common multiple of 287525 and 465. 862575 What is the common denominator of -13/8506586 and -109/7733260? 85065860 Calculate the smallest common multiple of 1287 and 129831. 4284423 Calculate the smallest common multiple of 16445910 and 10963940. 32891820 What is the smallest common multiple of 23805549 and 12? 95222196 What is the least common multiple of 2024708 and 110491208? 773438456 What is the lowest common multiple of 5947095 and 149050? 59470950 Calculate the lowest common multiple of 53557191 and 706027. 374900337 What is the smallest common multiple of 122 and 2033632? 124051552 What is the common denominator of -31/621 and 121/175812? 1582308 Calculate the lowest common multiple of 30 and 177618. 888090 What is the lowest common multiple of 2992 and 254232? 8643888 What is the lowest common multiple of 106 and 1552398? 82277094 Find the common denominator of 43/832560 and 101/140702640. 140702640 Calculate the smallest common multiple of 231254 and 1226184. 52725912 Calculate the common denominator of -59/180 and 127/2476008. 12380040 Calculate the common denominator of -133/648 and -157/441090. 15879240 Calculate the lowest common multiple of 339768 and 1014. 4416984 What is the lowest common multiple of 11946 and 1696332? 1696332 Calculate the common denominator of 79/2845304 and 29/616. 2845304 What is the common denominator of -19/10730565 and -61/17884275? 53652825 Calculate the lowest common multiple of 1213319 and 1213319. 1213319 Calculate the common denominator of 137/7836 and 91/21774. 28436844 Calculate the common denominator of -251/14372820 and -69/4730. 618031260 Calcu
{ "pile_set_name": "DM Mathematics" }
-53*s**2 Collect the terms in -193*q**3 + 60*q**3 - 22*q**3. -155*q**3 Collect the terms in -118*i - 175*i + 11*i**3 + 293*i - 38*i**3. -27*i**3 Collect the terms in 28394109 - 28394109 - 6*r. -6*r Collect the terms in -169*h**2 + 317*h**2 - 174*h**2. -26*h**2 Collect the terms in 6 - 303*y - 6 + 948*y. 645*y Collect the terms in 1552*j**3 - 823*j**3 - 1630*j**3. -901*j**3 Collect the terms in 104*y**3 - 107*y**3 + 103*y - 105*y + 86*y**3. 83*y**3 - 2*y Collect the terms in -25305710*l**2 - l + 25305709*l**2 + l. -l**2 Collect the terms in -14*k**2 - 27*k**2 + 11*k**2. -30*k**2 Collect the terms in -2*p + 2*p + 125854*p**3 - 125826*p**3. 28*p**3 Collect the terms in 1193 + d**2 - 1193. d**2 Collect the terms in -115*u**2 - 95*u**2 - 46*u**2 - 18*u**2 - 93*u**2. -367*u**2 Collect the terms in 3037*h + 22 - 3037*h - 34*h**2. -34*h**2 + 22 Collect the terms in 77*r**2 + 93*r**2 - 2338*r**3 - 170*r**2. -2338*r**3 Collect the terms in -31 - 26 + 57 + 37*r - 188*r. -151*r Collect the terms in -494*i + 13*i + 225*i. -256*i Collect the terms in -16*m - m**2 + 16*m - 279*m**3 + m**2. -279*m**3 Collect the terms in 31393 + 3*a - 77*a**3 - 3*a - 31393. -77*a**3 Collect the terms in 18 - 1007*f**3 + 2022*f**3 - 1010*f**3. 5*f**3 + 18 Collect the terms in 31*n**3 - 64*n**3 + 2*n**2 + 44*n**3. 11*n**3 + 2*n**2 Collect the terms in -670 - 26*v**3 - 668 - 670 + 2008 + 4*v**2. -26*v**3 + 4*v**2 Collect the terms in -2 + 2 - 92053*t**2 + 93299*t**2. 1246*t**2 Collect the terms in -35335*f**2 - 29790*f**2 + 18131*f**2 - 34590*f**2. -81584*f**2 Collect the terms in -380*h - 163*h + 9*h**3 - 364*h + 232*h. 9*h**3 - 675*h Collect the terms in -4*y - 36430*y**3 + 36388*y**3 + 4*y. -42*y**3 Collect the terms in -u**2 + u**2 - 2*u**3 - 1893*u + 936*u + 957*u. -2*u**3 Collect the terms in 31*m**2 - 61*m**2 - 2 - 71*m**2. -101*m**2 - 2 Collect the terms in 21*g - 3 + 3*g**2 - 6*g**2 + 17*g + 0. -3*g**2 + 38*g - 3 Collect the terms in -10859*z**2 - 4*z**3 + 10832*z**2 + 12 + 3*z**3 - 12. -z**3 - 27*z**2 Collect the terms in 2*j + 155 - 1614 + 129 - 1925. 2*j - 3255 Collect the terms in 6*k - 58*k + k**2 + 466 + 452 - 918. k**2 - 52*k Collect the terms in 2404 + 16*g**3 - 2404. 16*g**3 Collect the terms in -m**3 - 162*m**3 - 23*m**3. -186*m**3 Collect the terms in 22 - 22 - 3*x - 5*x - 91*x. -99*x Collect the terms in 5 + 817*v - 5 + 5193*v. 6010*v Collect the terms in 343*g + 339*g - 682*g - 121*g**3. -121*g**3 Collect the terms in 12*m**3 - 40*m**3 - 20*m**3. -48*m**3 Collect the terms in -14*j + j + 13*j + 78*j**3. 78*j**3 Collect the terms in -43 + 51 + 418*w - 52. 418*w - 44 Collect the terms in 46 - 46 + 66930*u. 66930*u Collect the terms in -9*c**2 - 9918 + 4957 + 0*c**2 + 4961. -9*c**2 Collect the terms in 670*s + 653*s + 658*s - 2614*s + 661*s. 28*s Collect the terms in 1545*p**2 - 782*p**2 - 5*p - 764*p**2 - p + 6*p. -p**2 Collect the terms in -23*i + 3*i**2 - 58*i + 81*i. 3*i**2 Collect the terms in 290*q + 212*q - 86*q**2 - 502*q. -86*q**2 Collect the terms in 3*z - 7*z**2 - 34*z**2 + 3 - 4. -41*z**2 + 3*z - 1 Collect the terms in -33499 - 10*j - 14*j + 23*j + 33499. -j Collect the terms in 4480*v - 4480*v + 35*v**2. 35*v**2 Collect the terms in -3*o**2 + 3*o**2 + 5*o**2 + 71*o - 77*o + 6*o**2. 11*o**2 - 6*o Collect the terms in 118*t**3 + 3 - 353*t**3 - 539*t**3 + 8*t**2. -774*t**3 + 8*t**2 + 3 Collect the terms in -25 + 22*a**2 + 33 + 0*a**3 - 2*a**3 - 8. -2*a**3 + 22*a**2 Collect the terms in 4586*o + 4571*o - 13745*o + 4579*o. -9*o Collect the terms in -1079*r + 790*r - 2505*r. -2794*r Collect the terms in -2*u**2 - 157 - 104 + 5*u**2 - 311 + 4*u**2. 7*u**2 - 572 Collect the terms in u - 3*u - 278*u**2 + 233*u**2. -45*u**2 - 2*u Collect the terms in -175*g**3 - 176*g**3 + 534*g**3 - 175*g**3. 8*g**3 Collect the terms in 0*q**2 + 0*q**2 - 246047*q**3. -246047*q**3 Collect the terms in 680*k - 694*k - 3*k**3 + 6*k**3. 3*k**3 - 14*k Collect the terms in 502 - 1013 - 2596*h**2 + 509. -2596*h**2 - 2 Collect the terms in 23*c**3 - 7*c + 18*c - 31*c**3 - 11*c. -8*c**3 Collect the terms in -12 + 14 - 400*a + 122*a. -278*a + 2 Collect the terms in -200*o - 273*o - 183*o + 465*o. -191*o Collect the terms in -228*w - 223*w + 708*w - 235*w. 22*w Collect the terms in -17 + 1114*z**2 + 1013*z**2 - 12 + 28. 2127*z**2 - 1 Collect the terms in -27*s - 15*s + 241 - 241 - 109*s. -151*s Collect the terms in -2*y**2 - 444 + 615 - 171. -2*y**2 Collect the terms in 206*k - 55*k + 59*k. 210*k Collect the terms in -c - 20*c - 147 + 6*c. -15*c - 147 Collect the terms in -56*i**2 + 126*i**2 + 0 + 0 - 46*i**2. 24*i**2 Collect the terms in -24*r**2 - 3*r**2 - 17 - 33. -27*r**2 - 50 Collect the terms in -5 - 12848*a + 0 - 1. -12848*a - 6 Collect the terms in -22*k - 95*k - 170*k - 202*k. -489*k Collect the terms in 19574993*p - 39149958*p + 19574966*p. p Collect the terms in -6*c + 101*c**2 + 32*c - 105*c**2. -4*c**2 + 26*c Collect the terms in -42486*o**2 + 14179*o**2 + 14133*o**2 + 14176*o**2. 2*o**2 Collect the terms in 1175*q**2 + 1162*q**2 - 2344*q**2. -7*q**2 Collect the terms in 1526*s - 16 + 41 - 25 - 1530*s. -4*s Collect the terms in -1518*u**2 - 1532*u**2 + 3055*u**2. 5*u**2 Collect the terms in 33*t + 4 - 9 + 9 - 48*t - 29*t. -44*t + 4 Collect the terms in 209293*x - 209293*x - 6*x**3. -6*x**3 Collect the terms in -1 - 14966*h + 1 - 2*h**2 + 14940*h - 3*h**2. -5*h**2 - 26*h Collect the terms in -4*q**2 - 2*q + 23*q**3 - 33*q**2 + 2*q. 23*q**3 - 37*q**2 Collect the terms in -98 + 151 + 146 - 199 + 6*r**2. 6*r**2 Collect the terms in 131*x - 2 - 28*x + 2 + 57*x. 160*x Collect the terms in -8 - 27 + 19 + 179*j. 179*j - 16 Collect the terms in 1 - 1 - 4739*j. -4739*j Collect the terms in 8263*m + m**3 - 8263*m + 50*m**2. m**3 + 50*m**2 Collect the terms in -4 + 1954*r - 1990*r - 3 + 1. -36*r - 6 Collect the terms in 0*j**2 + j**2 + 16*j**3 + 5*j**3. 21*j**3 + j**2 Collect the terms in 247*o + 242*o + 227*o - 716*o - 2*o**3 + 1324 - 1324. -2*o**3 Collect the terms in 0 + 141048*f**3 + 0 - 141050*f**3. -2*f**3 Collect the terms in 419934 + 14*z**3 - 419934. 14*z**3 Collect the terms in -11*p**3 + 56 - 23 + 12*p**3 - 33. p**3 Collect the terms in -1071 + v**3 + 176*v**2 + 1071 - 176*v**2. v**3 Collect the terms in -2*c**2 + 23998 - 47964 + 23966. -2*c**2 Collect the terms in -5500*g + 2716*g + 2788*g. 4*g Collect the terms in 6*c - 6*c - 82057*c**3. -82057*c**3 Collect the terms in 1780*t - 5334*t + 1773*t + 1781*t - 13*t**2. -13*t**2 Collect the terms in 143*n - 45*n - 99*n. -n Collect the terms in -2*w**3 + 1188*w - 445*w - 743*w. -2*w**3 Collect the terms in 6977*w**2 - 13962*w**2 + 6978*w**2 - 18. -7*w**2 - 18 Collect the terms in 498*z**3 + 414*z**3 + 489*z**3 - 1399*z**3. 2*z**3 Collect the terms in 62*c**2 - 53*c + 53*c - 59*c**2. 3*c**2 Collect the terms in -9*m - 1324*m**3 + 0 + 0. -1324*m**3 - 9*m Collect the terms in -18137917*z + 8*z**2 + 3 + 18137917*z. 8*z**2 + 3 Collect the terms in 68 - 31*n - n + 68 + 42*n - 136. 10*n Collect the terms in -3259*x**2 - 209 + 635 - 216 - 210. -3259*x**2 Collect the terms in 15438335167*a - 15438335167*a - 14*a**3. -14*a**3 Collect the terms in -31*b**2 + 11*b - 14*b + 16*b**2 + 38*b + 17*b**2. 2*b**2 + 35*b Collect the terms in -16 - 45*t**2 + 16 + 69*t**2. 24*t**2 Collect the terms in -2147*o**2 - 2159*o**2 + 45 + 4305*o**2. -o**2 + 45 Collect the terms in 126*v**3 - 275*v**3 + 136*v**3. -13*v**3 Collect the terms in -202346*h**3 + 202343*h**3 + 3*h**2 - 3*h**2. -3*h**3 Collect the terms in 12 - 12 - 166*i - 84*i. -250*i Collect the terms in -96 + 2*a**2 + 33 + 33 + 30. 2*a**2 Collect the terms in -2465 + 25*c**2 - 17*c**2 + 2465. 8*c**2 Collect the terms in -14*z**2 - 23*z**2 - z + 5*z**2. -32*z**2 - z Collect the terms in 31 - 9*i**2 - 7*i**2 + 6 + 30*i**2 - 12*i**2. 2*i**2 + 37 Collect the terms in 25733*x**2 - 25732*x**2 - 60 + 60. x**2 Collect the terms in 2596*w**2 - 872*w**2 - 869*w**2 - 846*w**2. 9*w**2 Collect the terms in 9 - 15*v - 4 - 1 - 8. -15*v - 4 Collect the terms in 23*s**3 - 2*s**3 - 7*s**3 - 9*s**3 - 10*s**3. -5*s**3 Collect the terms in 2*m - 26709 - 4*m + 2*m + 2*m + 26709. 2*m Collect the terms in 2*l**3 - 2051*l + 6*l**3 + 2051*l. 8*l**3 Collect the terms in 1766*l + 0 - 1677*l + 0 - 3*l**3. -3*l**3 + 8
{ "pile_set_name": "DM Mathematics" }
1? (a) -0.108 (b) -3 (c) -0.05 (d) 685.1 c Which is the closest to 1? (a) 4 (b) 52 (c) -128 (d) -0.1 (e) 34/37 e Which is the closest to 10.03? (a) 0.3 (b) -2/9 (c) -3/22 (d) -5 (e) 0.1 a What is the nearest to 23 in -15, -0.0959, 1/6? 1/6 What is the closest to 1583 in 5, 812, -5? 812 What is the nearest to -2/31 in -0.4, -24/11, -245, 4, 2, -3? -0.4 What is the closest to -1 in -1.32, 0.4, -18/85, -6.3? -1.32 Which is the nearest to -1? (a) 26 (b) 2 (c) -3/5 (d) 5 (e) -0.1402 c What is the closest to -2/7 in 0.1, -9489, 219, -3/5, 1/3? -3/5 Which is the nearest to 92? (a) 0.2 (b) -2 (c) -1039 (d) -1/3 a Which is the closest to 3? (a) -10 (b) 2 (c) -2247 (d) -3 (e) -0.4 (f) -8 b What is the nearest to -2/9 in -49, 87.69, 0.3? 0.3 What is the closest to 50 in 3, 11, -6, 0.04, 1/4? 11 What is the closest to 2/23 in -2/5, -12/41, 0.5, -44/7? -12/41 What is the nearest to -5/1026 in 134, -3/8, 1? -3/8 What is the closest to 0 in -2/5, 978, -3/7, 451? -2/5 Which is the closest to 2/9555? (a) 82.6 (b) -0.5 (c) 0.2 c Which is the nearest to -2/5? (a) 2/3 (b) 2/65661 (c) -2/7 c Which is the nearest to -46/7? (a) -0.3188 (b) -1 (c) -0.1 (d) 2 b Which is the nearest to 2/9? (a) -70/711 (b) 6/103 (c) -0.1 b What is the closest to -3 in 48, 2/7, 7, 4.2, -7? 2/7 Which is the closest to 49.1? (a) -0.4 (b) 2/15 (c) 4 (d) -2 (e) -1/2 c Which is the closest to -89/5? (a) 10 (b) 0 (c) 2 (d) -119/5 d Which is the closest to -1/15? (a) 0.3 (b) -0.5 (c) -10.04 (d) -1453 a Which is the closest to -5? (a) -1/6 (b) 1/230 (c) 2/45 (d) 0.16 (e) 4/3 (f) -3 f Which is the nearest to -0.1? (a) -0.5 (b) -1.2 (c) 0.03 (d) -11/9 (e) 1/4 c Which is the closest to -7.5? (a) 2 (b) -1 (c) 1 (d) -1/39 (e) 7 b What is the nearest to 7 in -2/7, -5, -39, -2/5, 14683? -2/7 Which is the nearest to 0? (a) 1 (b) 6 (c) -1/1873 (d) 1/3 (e) -0.1 (f) 0.08 c Which is the nearest to 3378? (a) -0.1 (b) -0.4 (c) -0.2 (d) -2 a Which is the nearest to 10.2809? (a) 12 (b) -7 (c) -3/7 a Which is the nearest to -1923? (a) -4 (b) 2/5 (c) 2207 a What is the nearest to -4 in -2/2611, 1, 156, -0.4? -0.4 Which is the closest to -0.1? (a) -2/11 (b) 1 (c) 87 (d) -3176 a Which is the closest to -1? (a) -127/58 (b) -3 (c) 26 (d) 1/3 (e) -0.3 (f) -0.05 e What is the closest to -1281 in 2/9, -0.0405, -3/4? -3/4 Which is the closest to -37.77? (a) 4 (b) 1/2 (c) -2 (d) 3 (e) -7 e What is the nearest to 0 in -181/2, 1.47, 1/5, -0.08? -0.08 Which is the closest to -65.2? (a) -13/5 (b) -5 (c) -2/7 b What is the closest to 13 in 0.5, 1/3, -2/7, -21, 0.542? 0.542 Which is the nearest to -197? (a) 5 (b) -3 (c) -9.3 (d) 0 c Which is the nearest to 1809? (a) 19 (b) -3 (c) -3/7 (d) -1/5 a What is the nearest to 3/5 in -2/9, 1/1088, -3298, -1? 1/1088 Which is the nearest to 15/23? (a) 4 (b) 2/7 (c) 0.6874 c Which is the closest to -88? (a) 5 (b) 0.0564 (c) 2 (d) -510 b Which is the closest to -0.1? (a) -10/9 (b) -0.18 (c) 16.1 (d) 0 (e) -823 b What is the nearest to 4 in -5.8406, 1/9, 1/5, -1? 1/5 What is the closest to -1 in 0, 1/4, 1, -2/639, -12/23? -12/23 What is the closest to 1 in 10, -2/9, -1, -2/17, -2649? -2/17 What is the nearest to 0.1151 in -3.9, 6, 2, -5, 2/3? 2/3 Which is the nearest to 9800? (a) -6/5 (b) -2/5 (c) 0.2 (d) 0.5 d What is the nearest to 145 in 0.5, 1, -1.9, -20029? 1 What is the nearest to 2 in 2/3, 12, 511, -131? 2/3 Which is the nearest to 2/13? (a) -2485 (b) -4 (c) -1/3 (d) -0.2 (e) 1/10 e What is the nearest to 57/8 in -8, -5, -9610, 2/3, 0.6, -4? 2/3 What is the nearest to 0.1 in -4, 10/11, -0.1, 276, -34? -0.1 Which is the closest to 1864? (a) -0.06 (b) 1/6 (c) 1 (d) -174 c What is the closest to -26/3 in -5, -27, -773? -5 Which is the nearest to -37? (a) -21 (b) 3 (c) -3 (d) -0.4 (e) -193 a Which is the nearest to 193? (a) -2014/7 (b) -2/9 (c) -2/7 b Which is the closest to 16? (a) 913 (b) -2/15 (c) 13 (d) -2 c Which is the closest to 18? (a) 9 (b) -5134 (c) 0.5 (d) -5 (e) -10 a Which is the nearest to 64? (a) 4 (b) 0 (c) -6/13 (d) 2195 (e) 1 a What is the nearest to -4/5 in -2/11, -0.406, 7? -0.406 What is the closest to -573 in -1/9, 3, -15, 0.4, -4? -15 What is the closest to 1/2 in -262, -0.04, -95? -0.04 Which is the closest to -0.25? (a) 1.1 (b) -25 (c) 4 (d) -3 (e) -5/3 a What is the nearest to 45 in 0.1, 0.2, -189, -1/3, -0.126? 0.2 Which is the nearest to 423? (a) -53 (b) 0.15 (c) 2 (d) -1 c Which is the closest to -1/4? (a) -4/9 (b) 892 (c) -335 a What is the nearest to -1137 in -4/43, 4, -4, 2/7, -3/5? -4 What is the closest to -4/147 in 2/7, 0.66, -0.03, 2? -0.03 What is the nearest to -1823.543 in -4, 0.1, -1, -3? -4 Which is the closest to 1? (a) -18/19 (b) 34 (c) 227 a What is the nearest to 6 in 222, 0, 1138/11? 0 What is the closest to -2/7 in -3/8, -135, 46, 6/5, 0.5, 0.34? -3/8 What is the closest to -0.2 in -18/23, 0.4, 11.4, -0.4, -4? -0.4 Which is the closest to -3? (a) -4468 (b) 1 (c) 0.1 (d) 0.92 c Which is the nearest to -6.2? (a) -8 (b) 3/4 (c) 1853 (d) 1 a What is the closest to -16 in 4/3, -1/3, -61.222? -1/3 Which is the closest to -2957? (a) -2/9 (b) 3/4 (c) -36 c What is the nearest to 11 in 3/2, 0.016484, -2, 4? 4 What is the closest to 4/39 in 0.3, 1/2, 88, 14/11, -2/17? 0.3 Which is the closest to 137? (a) -5 (b) -2279 (c) 0.1 (d) -24 c Which is the closest to -23674? (a) 2/5 (b) -1 (c) 44 b Which is the nearest to 575? (a) 11 (b) -0.06 (c) 0.3 (d) -0.9 (e) 3 (f) 2 a Which is the closest to 0.36? (a) -3.3 (b) -2/17 (c) 32 (d) -1/3 (e) 0.31 (f) -2 e What is the nearest to 0.1 in -1.1137, -75, 79? -1.1137 Which is the nearest to -137? (a) 0.03 (b) -6/11 (c) -0.3 (d) -66 d What is the nearest to -0.18 in -24.45, -518, -0.1, 1? -0.1 What is the closest to 1 in 0.4, 2/953, 3/155? 0.4 What is the closest to 3 in 1, 2, 14, -5, -515? 2 What is the closest to -0.2 in 22.9, -0.2, -4/3, 3/83? -0.2 Which is the nearest to 2? (a) 3 (b) 0 (c) -12838105 a What is the closest to 12597 in -10, -1, -0.26? -0.26 What is the closest to 14/3 in 38168, 0.4, 4, -12, 1/4? 4 Which is the closest to 37/65361? (a) 2 (b) -1 (c) -5 b Which is the closest to -0.14? (a) 0.2 (b) 5/233 (c) -2/9 c What is the nearest to 2/7 in 29, 1, 4682, -3/2? 1 Which is the nearest to -0.1? (a) -4 (b) -1549 (c) 0.144 (d) 2/5 c What is the nearest to 0.4 in 2, -12, 3/7, -6, -1/289? 3/7 Which is the closest to 1? (a) -5 (b) -1/6 (c) -4 (d) -7179 (e) 2 e What is the nearest to -1 in 69, 165, 5.8? 5.8 What is the nearest to -29 in -0.1, 1/10, 1/8, 1, 0.732? -0.1 What is the nearest to 1/4 in -859, -4, -5.3, 19? -4 Which is the closest to -15? (a) 8/7 (b) -3/13 (c) 2/9 (d) 4 (e) 0 (f) 3.45 b What is the nearest to 225855 in 2/3, -2/7, -3/2? 2/3 What is the nearest to 3 in 3/8, -5, -2102823? 3/8 What is the nearest to 113/5742 in 4, -0.5, -3? -0.5 What is the nearest to 2 in 0, -3/80, -301.9, 1/10? 1/10 What is the closest to -0.14 in 13, 0.08, -0.755? 0.08 What is the closest to 0 in -4/5, -0.1, -4188.74, 2? -0.1 What is the closest to 19836 in 1/3, 0.1, -2/9? 1/3 What is the nearest to 1335/97 in 1, 2, -4? 2 Which is the closest to 2? (a) 0.115 (b) 4949 (c) 0.1 a Which is the nearest to -1/4? (a) -0.6 (b) 4 (c) -22 (d) 2/9 (e) 0.02 (f) -44 e Which is the nearest to 37714? (a) -0.1 (b) 2/9 (c) 2/5 (d) 2/7 c What is the closest to 0 in -0.1, 0.409, 37726, -1/7, 1? -0.1 Which is the closest to -5.85? (a) 0 (b) -5 (c) 0.8 (d) -2 (e) -2/9 b Which is the nearest to 15/187? (a) 3/20 (b) -6/13 (c) -0.1 (d) 5 (e) 2 a Which is the closest to -21? (a) 1/3 (b) 27.96 (c) -2 (d) 0.06 (e) 2/21 c Which is the nearest to -2? (a) 39 (b) -0.1 (c) -18 (d) -5 (e) -1 (f) -3.12 e Which is the closest to 8? (a) 0.3 (b) -4/3 (c) -10 (d) -1588 (e) 0.07 a Which is the nearest to -2? (a) -3/650 (b) 2.17 (c) -0.4 c What is the nearest to 2/143 in -2/19, 1/79, 3/2? 1/79 What is the closest to -16 in 4, 5, -154, -0.51? -0.51 Which is the nearest to 2? (a) 9 (b) 0.06 (c) 3 (d) -3/13 c Which is the closest to 16? (a) 1 (b) -79/16 (c) 0.1 (d) 3 (e) 0 d
{ "pile_set_name": "DM Mathematics" }
What is 685 minutes after 12:29 AM? 11:54 AM What is 260 minutes after 12:12 AM? 4:32 AM What is 142 minutes before 4:43 PM? 2:21 PM What is 678 minutes after 4:14 PM? 3:32 AM What is 126 minutes after 11:41 PM? 1:47 AM What is 401 minutes before 1:03 PM? 6:22 AM What is 354 minutes after 8:48 PM? 2:42 AM What is 283 minutes before 12:02 PM? 7:19 AM How many minutes are there between 3:19 AM and 8:43 AM? 324 How many minutes are there between 2:50 AM and 4:06 AM? 76 What is 681 minutes before 10:50 AM? 11:29 PM How many minutes are there between 12:10 AM and 2:18 AM? 128 How many minutes are there between 8:46 PM and 11:05 PM? 139 What is 714 minutes after 6:34 PM? 6:28 AM How many minutes are there between 7:10 AM and 8:21 AM? 71 How many minutes are there between 2:40 PM and 3:43 PM? 63 What is 514 minutes after 9:15 AM? 5:49 PM How many minutes are there between 5:37 PM and 8:33 PM? 176 How many minutes are there between 1:46 AM and 1:32 PM? 706 What is 328 minutes after 3:54 PM? 9:22 PM How many minutes are there between 11:37 PM and 10:38 AM? 661 How many minutes are there between 3:06 PM and 4:47 PM? 101 What is 678 minutes after 7:39 AM? 6:57 PM What is 4 minutes before 12:13 AM? 12:09 AM How many minutes are there between 11:56 AM and 11:05 PM? 669 How many minutes are there between 8:03 PM and 10:36 PM? 153 How many minutes are there between 6:24 PM and 11:48 PM? 324 What is 293 minutes before 3:05 AM? 10:12 PM How many minutes are there between 2:07 AM and 4:32 AM? 145 How many minutes are there between 4:07 PM and 7:30 PM? 203 What is 243 minutes after 12:10 AM? 4:13 AM What is 374 minutes after 4:35 PM? 10:49 PM What is 152 minutes before 5:10 AM? 2:38 AM How many minutes are there between 7:08 PM and 5:39 AM? 631 What is 581 minutes after 6:45 AM? 4:26 PM How many minutes are there between 9:26 PM and 2:19 AM? 293 What is 91 minutes before 1:41 PM? 12:10 PM How many minutes are there between 12:52 PM and 5:48 PM? 296 How many minutes are there between 4:32 PM and 7:05 PM? 153 How many minutes are there between 9:24 AM and 8:39 PM? 675 How many minutes are there between 1:22 AM and 7:38 AM? 376 What is 332 minutes after 4:41 AM? 10:13 AM How many minutes are there between 7:47 PM and 1:08 AM? 321 How many minutes are there between 10:19 PM and 5:56 AM? 457 How many minutes are there between 4:03 AM and 4:42 AM? 39 How many minutes are there between 7:03 PM and 4:49 AM? 586 How many minutes are there between 11:49 AM and 10:19 PM? 630 How many minutes are there between 6:22 AM and 10:32 AM? 250 How many minutes are there between 10:42 AM and 1:28 PM? 166 How many minutes are there between 12:25 PM and 1:14 PM? 49 How many minutes are there between 5:49 AM and 2:39 PM? 530 What is 387 minutes before 5:48 AM? 11:21 PM What is 639 minutes before 7:01 AM? 8:22 PM What is 421 minutes after 9:55 PM? 4:56 AM What is 91 minutes before 7:03 AM? 5:32 AM How many minutes are there between 9:41 PM and 1:38 AM? 237 How many minutes are there between 2:52 PM and 3:44 PM? 52 How many minutes are there between 10:47 PM and 1:32 AM? 165 How many minutes are there between 9:33 PM and 9:05 AM? 692 What is 421 minutes after 6:34 AM? 1:35 PM How many minutes are there between 10:07 PM and 12:04 AM? 117 How many minutes are there between 9:39 PM and 2:05 AM? 266 How many minutes are there between 1:51 AM and 3:58 AM? 127 What is 416 minutes before 2:58 AM? 8:02 PM What is 35 minutes before 4:27 PM? 3:52 PM What is 331 minutes before 1:28 PM? 7:57 AM What is 401 minutes before 12:07 AM? 5:26 PM What is 158 minutes after 3:20 PM? 5:58 PM What is 453 minutes before 7:00 AM? 11:27 PM How many minutes are there between 4:25 AM and 2:56 PM? 631 How many minutes are there between 6:45 PM and 6:05 AM? 680 How many minutes are there between 10:20 PM and 5:56 AM? 456 What is 184 minutes before 8:15 AM? 5:11 AM How many minutes are there between 7:32 AM and 6:08 PM? 636 How many minutes are there between 6:26 PM and 2:50 AM? 504 What is 274 minutes after 3:00 PM? 7:34 PM How many minutes are there between 12:02 AM and 2:09 AM? 127 What is 528 minutes before 4:23 PM? 7:35 AM What is 42 minutes after 2:53 AM? 3:35 AM How many minutes are there between 9:26 PM and 8:18 AM? 652 What is 295 minutes after 4:58 AM? 9:53 AM What is 609 minutes before 5:20 AM? 7:11 PM What is 49 minutes before 2:31 PM? 1:42 PM What is 159 minutes before 7:00 AM? 4:21 AM How many minutes are there between 7:21 AM and 7:41 AM? 20 How many minutes are there between 7:25 AM and 6:01 PM? 636 What is 570 minutes before 10:25 PM? 12:55 PM What is 643 minutes after 6:38 AM? 5:21 PM How many minutes are there between 8:57 PM and 7:15 AM? 618 What is 399 minutes after 10:12 PM? 4:51 AM What is 709 minutes after 10:47 PM? 10:36 AM How many minutes are there between 10:54 AM and 4:09 PM? 315 How many minutes are there between 11:54 PM and 7:40 AM? 466 What is 387 minutes before 11:15 AM? 4:48 AM How many minutes are there between 1:45 PM and 5:09 PM? 204 What is 414 minutes after 7:53 AM? 2:47 PM What is 620 minutes after 9:13 PM? 7:33 AM How many minutes are there between 10:44 PM and 10:34 AM? 710 How many minutes are there between 7:31 PM and 4:51 AM? 560 What is 708 minutes before 10:06 AM? 10:18 PM How many minutes are there between 3:15 PM and 8:33 PM? 318 What is 496 minutes before 9:45 AM? 1:29 AM How many minutes are there between 4:43 AM and 8:12 AM? 209 How many minutes are there between 6:28 PM and 5:35 AM? 667 What is 71 minutes before 10:21 PM? 9:10 PM How many minutes are there between 10:28 AM and 9:48 PM? 680 How many minutes are there between 11:56 AM and 2:43 PM? 167 How many minutes are there between 9:10 AM and 6:57 PM? 587 What is 184 minutes before 9:32 AM? 6:28 AM How many minutes are there between 6:15 PM and 12:08 AM? 353 What is 647 minutes after 6:05 AM? 4:52 PM How many minutes are there between 2:56 AM and 10:34 AM? 458 How many minutes are there between 8:57 PM and 6:35 AM? 578 How many minutes are there between 11:57 AM and 5:24 PM? 327 How many minutes are there between 7:39 PM and 10:25 PM? 166 What is 298 minutes after 6:23 PM? 11:21 PM What is 714 minutes before 1:23 PM? 1:29 AM How many minutes are there between 3:29 PM and 3:19 AM? 710 How many minutes are there between 10:07 AM and 5:59 PM? 472 What is 279 minutes before 2:58 AM? 10:19 PM How many minutes are there between 3:33 AM and 9:28 AM? 355 How many minutes are there between 4:35 AM and 3:30 PM? 655 How many minutes are there between 7:01 AM and 5:21 PM? 620 How many minutes are there between 6:05 AM and 4:46 PM? 641 How many minutes are there between 8:52 PM and 7:33 AM? 641 How many minutes are there between 1:27 PM and 7:12 PM? 345 What is 424 minutes before 8:53 PM? 1:49 PM What is 145 minutes after 5:16 AM? 7:41 AM How many minutes are there between 3:28 AM and 4:59 AM? 91 What is 528 minutes after 1:08 PM? 9:56 PM What is 283 minutes before 10:27 AM? 5:44 AM How many minutes are there between 12:02 PM and 2:19 PM? 137 What is 292 minutes after 3:17 PM? 8:09 PM What is 98 minutes before 7:50 PM? 6:12 PM How many minutes are there between 2:24 PM and 3:13 PM? 49 How many minutes are there between 8:13 AM and 12:04 PM? 231 What is 568 minutes after 9:28 AM? 6:56 PM How many minutes are there between 9:55 PM and 2:29 AM? 274 How many minutes are there between 10:13 AM and 9:45 PM? 692 How many minutes are there between 8:13 AM and 8:57 AM? 44 How many minutes are there between 3:36 PM and 12:31 AM? 535 What is 703 minutes after 12:23 PM? 12:06 AM How many minutes are there between 4:24 PM and 4:36 PM? 12 What is 605 minutes after 9:00 PM? 7:05 AM What is 355 minutes before 11:04 AM? 5:09 AM How many minutes are there between 3:53 PM and 5:31 PM? 98 What is 137 minutes before 4:06 AM? 1:49 AM How many minutes are there between 3:33 PM and 8:28 PM? 295 What is 664 minutes before 2:04 AM? 3:00 PM How many minutes are there between 4:02 PM and 4:22 PM? 20 How many minutes are there between 3:50 AM and 8:39 AM? 289 What is 581 minutes after 10:28 PM? 8:09 AM What is 59 minutes after 12:37 AM? 1:36 AM What is 581 minutes before 2:16 AM? 4:35 PM How many minutes are there between 7:59 PM and 8:35 PM? 36 How
{ "pile_set_name": "DM Mathematics" }
1/12*j**4 + 1/30*j**5. Does 10 divide n(3)? True Let w(j) = -j**3 + 6*j**2 + 2*j - 2. Let b(u) = 7*u**3 - u**2. Suppose -q - 2*q + 3 = 0. Let n be b(q). Does 4 divide w(n)? False Suppose 3*f + 273 = 3*d, -4*d - f + 400 = 4*f. Suppose -5*x = -d - 25. Is x a multiple of 20? False Let d = 5 - 2. Suppose 5*s + 9 = -2*j, 3*j = -d*s + 4*j - 1. Is 15 a factor of (-1)/s*(3 + 27)? True Let k be ((-12)/18)/((-2)/75). Suppose -5*i - h + k = 0, -4*i + 5*h = -0*h - 20. Suppose 6*q = i*q + 39. Does 13 divide q? True Suppose 2*u = -3*u. Let j(m) = -m**2 + 2. Does 2 divide j(u)? True Let r(a) = -a**2 + 5*a - 4. Let t be r(3). Let j = -4 + t. Let o(s) = -2*s - 1. Is o(j) a multiple of 3? True Is 4 a factor of ((-8)/5)/(4/(-30))? True Suppose -5*x + 574 = 2*x. Does 19 divide x? False Suppose y = -13 + 214. Suppose 4*p - 12 = 4*r, 4*p + r = -2*r + 26. Suppose p*c - y = 139. Is 26 a factor of c? False Let a = 13 + 2. Suppose -m = -a + 58. Is 1 + -3 - (m + 5) a multiple of 20? False Let i(l) = l**3 + 3*l**2 - 2*l + 5. Let j be i(-4). Let d = j - -6. Let q(b) = 3*b + 4. Is q(d) a multiple of 13? True Let f(m) = 5*m + 54. Does 14 divide f(0)? False Suppose v - 6 = 14. Is v a multiple of 8? False Let b(v) = -v**2 + 6*v + 2. Let k be b(6). Suppose -k*w = -3*w - 3*l + 30, 5*w - 5*l = 190. Suppose -w = -2*x - 0*x. Does 5 divide x? False Let i(u) = -u**3 - 3*u**2 + 2*u - 3. Let y be i(-4). Suppose 2*v - 16 - 3 = 3*w, v + y*w = 3. Does 5 divide v? False Let z(g) = -3*g**3 - 3*g**2 - 2*g - 3. Let i be z(-3). Let q = i - 27. Is q a multiple of 17? False Suppose -3*p = 2*p. Let y = 4 - p. Is 2 a factor of y? True Let w(b) = -b**3 + 18*b**2 - 31*b - 1. Is 15 a factor of w(16)? True Suppose -n - 18 = -4*u, n - 3*u - 1 = -14. Suppose f = 2*s - 38 - 45, 10 = n*f. Is s a multiple of 11? True Let p(q) = -2*q - 2*q - 3 + 6*q. Let s be p(-8). Is 11 a factor of (-1 - s)/2 + 2? True Does 19 divide 3*-2*(-95)/10? True Let b be (8/3 + -2)*9. Suppose 2*z - h = b*z - 57, -h = -1. Does 7 divide z? True Suppose 45*z - 16 = 44*z. Is z a multiple of 16? True Let q = 123 + -71. Is 16 a factor of q? False Suppose 2*o + 2*o = 80. Is o a multiple of 3? False Let h be -9*-56*3/9. Let f = -117 + h. Is f a multiple of 24? False Let f = -4 - -9. Let q = 8 - f. Suppose 5*j - q = 17. Is 2 a factor of j? True Suppose 3*o - 406 - 8 = 0. Suppose -3*s - t + 36 = -o, 177 = 3*s + 2*t. Is 19 a factor of s? True Suppose 3*m + 4*w = 13, 4*m + 4*w = -0*w + 24. Let u = m - -23. Does 17 divide u? True Let x(r) be the first derivative of 8*r**3/3 + r**2/2 - r - 1. Let g(u) = u**3 - u**2 + u. Let t be g(1). Is x(t) a multiple of 8? True Suppose 7*t + 0*t - 399 = 0. Does 19 divide t? True Suppose 2*k + 135 = 7*k. Does 3 divide k? True Let j = 34 + 1. Suppose 2*p = j - 9. Is p a multiple of 5? False Let a be (-3)/(-15) + 222/(-10). Let r = 143 + -66. Does 3 divide 602/r + (-4)/a? False Let t be ((-12)/8)/((-3)/4). Is 19 a factor of 17*(t - 0) - 3? False Let f(u) = -u + 1. Let r be -3*(-6)/(-27)*3. Let y(c) = -35*c + 45. Let x(a) = r*y(a) + 90*f(a). Is x(-1) a multiple of 20? True Suppose 2*p = 3*p - 1. Let y = p + 2. Suppose 134 = 2*s - 0*s - 3*u, -3*u + 171 = y*s. Is 22 a factor of s? False Let r = 19 - 12. Is r a multiple of 2? False Suppose 3*y - 10 = y. Does 4 divide y? False Suppose -2*g - 5*c + 552 = 0, 3*g - 3*c - 2*c - 803 = 0. Suppose t - 3*t = -4, 3*a + 2*t = g. Is 18 a factor of a? False Is 11640/100 + 2/(-5) a multiple of 29? True Suppose 0 = -3*w - 2*w. Suppose 5*c + 5*t - 12 + 2 = w, 2 = -2*c - 5*t. Is c a multiple of 3? False Suppose -10 = 5*c, 4*c = -3*q - q + 12. Suppose -2 = r - q. Suppose 0 = r*h - 0*h - 48. Is 8 a factor of h? True Let b(h) = 2*h**2 - h + 3. Let z be b(7). Suppose -2*a - 5*g = -z - 12, -8 = -4*g. Does 16 divide a? True Suppose 4*b - 1256 = -2*h, 5*b = h - 3*h + 1568. Is b a multiple of 23? False Let y(j) = -j**3 + 3*j**2 - j + 1. Let f be y(2). Let r(l) = 4 + 0*l**f + 4*l + l**3 + 5*l**2 - l. Does 9 divide r(-3)? False Let x(p) = -p**3 - 4*p**2 + 5*p - 4. Let o be x(-7). Suppose 72 + o = 6*h. Is h a multiple of 6? True Suppose -4*r - 2*r = 0. Suppose -4*d + u = -r*u - 375, -4 = -4*u. Is 31 a factor of d? False Suppose 0 = 3*r - 2*r. Let n = 18 - r. Is 18 a factor of n? True Let p(y) = -8*y**3 - y. Let m be p(-1). Let n = m + -5. Suppose 33 = n*h - 71. Does 13 divide h? True Let m(t) = -t**2 - t - 2. Let z be m(-2). Let y = z + 9. Suppose -5*o - d + 27 = -8, -o - y*d - 17 = 0. Is 3 a factor of o? False Let q(n) = -n**3 + 13*n**2 - 10*n + 9. Does 8 divide q(12)? False Suppose 2*o - 52 = 3*k + k, -76 = -2*o - 4*k. Is 16 a factor of o? True Let q(y) = 11*y**2 - 4*y - 7. Is q(-2) a multiple of 5? True Suppose -54*p + 57*p = 144. Is p a multiple of 6? True Let k be 1 + (-1)/(-2)*-6. Let l(m) = 9*m**2 + 3*m + 1. Is 12 a factor of l(k)? False Let i(k) = -k**2 - 8*k - 8. Let t be i(-5). Suppose 0 = -3*a - 15, -u - t = -0*u + 3*a. Does 8 divide u? True Suppose -8*g + 1723 - 395 = 0. Is g a multiple of 32? False Suppose c - 5*x = 38, -2*c + 36 = -5*x - 20. Is 20 a factor of c/7*(-70)/(-3)? True Let v(c) = 12*c. Let k be v(1). Suppose 2*g - k = -2*a + g, 2*g = a - 16. Is a a multiple of 4? True Let j = 3 + 0. Suppose j*t - 32 = 2*t. Is t a multiple of 13? False Let u(q) = -20*q**2 + 3*q - 62. Let p(i) = -7*i**2 + i - 21. Suppose -3*g - 5*l = -46, 3*g - l - 75 = -23. Let d(t) = g*p(t) - 6*u(t). Is 15 a factor of d(0)? True Let a = 56 - 14. Is 7 a factor of a? True Suppose 3*k - 176 = -4*b, -2*k + 5*k - 158 = 5*b. Suppose -7*a = -5*a - k. Is 14 a factor of a? True Let b be (2 - 1 - 1) + 3. Suppose 42 = b*w - 48. Is 15 a factor of w? True Let k be (40/(-25))/(1/(-5)). Suppose 3*s - 5*r - k = 0, 2*s + s + r = 20. Let c(l) = 3*l + 1. Is c(s) a multiple of 19? True Let l be ((-12)/(-4))/(3/2). Suppose -l = -3*y + 16. Is 3 a factor of y? True Suppose 90 = -0*r + 2*r + 2*d, 3*r - 5*d - 151 = 0. Is 19 a factor of r? False Let w = -14 - -9. Let i = 0 - w. Suppose -3*y = 0, 3*p - i*y - 11 = 2*p. Is 5 a factor of p? False Suppose -158 = -4*m - 34. Is m a multiple of 4? False Suppose -r = -1, 22 = y - 5*r + 4*r. Is 7 a factor of y? False Let t = 368 - 176. Does 37 divide t? False Let i be ((-1)/2)/((-3)/66). Let m be (-2)/10 + i/5. Suppose -s - m = -9. Is s a multiple of 2? False Suppose -33 = -2*z - z. Suppose 0 = 6*c - 4*c - 10. Let k = z + c. Is 16 a factor of k? True Suppose 0*z + 2 = 2*z. Let i(a) = -35*a**3 - 5*a**2 + 3*a - 3. Let m(d) = 23*d**3 + 3*d**2 - 2*d + 2. Let n(u) = 5*i(u) + 8*m(u). Does 3 divide n(z)? False Suppose 7*i - 2*i - 5*l = 5, 4*i - l - 10 = 0. Suppose 0 = -3*u - 0*u - i. Is (5 + 2/u)*7 a multiple of 19? False Let o(s) = -17*s**3 - s**2 + 1. Suppose 0 = -x + 4*d + 3 + 4, -4*x - 12 = 4*d. Is o(x) a multiple of 17? True Let j be (0 - -2)/((-6)/21). Let y(i) = -10*i - 8. Does 19 divide y(j)? False Suppose 8*w = 4*w + 24. Suppose -s - w*k + 20 = -3*k, -3*s + 4*k + 34 = 0. Is 7 a factor of s? True Let b(i) = 8*i**3 - 2*i**2 + 2*i. Let y be b(2). Let w = y + -31. Is w a multiple of 9? False Let n be (-2)/(-8) - 162/8. Let b = 31 + n. Let d(w) = w**2 - 8*w - 9. Is d(b) a multiple of 15? False Let a(g) = 9*g**3 - g**2 - g + 1. Is a(1) a multiple of 7? False Let q(h) = 2*h**2 - 2*h - 4. Let i be (2 + 1)*2/3. Suppose 0 = i*b - 3*x + 7, b + 20 + 1 = 5*x. Is q(b) a multiple of 10? True Let k(g) = -g**2 + 7*g - 4. Let s be -22*3*1/6. Let o be s/(-4) + (-1)/(-4). Is 3 a factor of k(o)? False Suppose 5*j - 946 - 274 = -4*n, 5*j - 3*n - 1220 = 0. Does 16 divide j? False Let i be (2 + (-24)/9)*-15. Let x = 14 - i. Is 3 a factor of x? False Suppose 396 = 3*o - 24. Suppose 0 = 6*p - 2*p - o. Is 19 a factor of (-2)/(-7) + 865/p? False Suppose -3*r = -4*k - 338, -5 = -9*k + 4*k. Does 32 divide r? False Let j = -25 - -19. Does 21 divide 1/(-3) - 380/j? True Suppose -h - 3*h = -5*k + 15, h - 6 = -2*k. Suppose -25 = -k*z - s, -2*s + s = z - 9. Is 4 a factor of z? True Suppose -3*r - 84 - 17 = -4*x, 5*r - 3*x = -183. Let u = 4 - r. Suppose -4*d = -1 - u. Is 4 a factor of d? False Let i be 7/(-28) - 379/4. Let h = i + 135. Is h a multiple of 8? True Suppose -4*k = 5 + 39. Let x = k + 23. Does 11 divide x? False Does 9 divide (-6)/(1 - -1) + 15? False Let s(h) = -4*h + 12. Is 18 a factor of s(-6)? Tru
{ "pile_set_name": "DM Mathematics" }
m + 18, 5*y + 2*m - 13 = 0. Let j(d) = -1 + y - d. Give j(f(q)). -3*q**2 Let y(r) = 2988*r. Let g(b) = -b**2. Determine g(y(l)). -8928144*l**2 Let a(p) = -7*p**2. Let q(i) be the second derivative of -i**3/3 + 9*i. Calculate q(a(t)). 14*t**2 Let v be ((-3)/(-2))/((-6)/(-8)). Let q(x) = -3*x**2 + 9*x**2 - 5*x**v. Let j(c) = -c**2 - 3*c**2 + 2*c**2. Determine j(q(b)). -2*b**4 Let x(j) be the third derivative of -j**4/8 - 18*j**2. Let u(p) be the second derivative of p**4/12 + p. What is x(u(v))? -3*v**2 Let h(u) = -9*u**2 + 4*u - 4. Let w(b) = 10*b**2 - 5*b + 5. Let i(c) = -5*h(c) - 4*w(c). Let q(k) = 3*k. Determine q(i(d)). 15*d**2 Let x(w) = 2*w. Let o(h) = -342*h**2. Give o(x(y)). -1368*y**2 Let c(j) = -14*j**2 + 20*j**2 - 12*j**2. Let l(w) = -2*w**2 - 3*w + 3*w + 4*w**2. What is c(l(v))? -24*v**4 Let x(v) = 399*v. Let p(r) = 20*r. What is p(x(c))? 7980*c Let d(j) = -j**2. Let l(g) = 1034*g**2. What is l(d(v))? 1034*v**4 Let s(f) = 4*f. Let l(r) be the first derivative of 3*r**2/2 - 8. Determine s(l(i)). 12*i Let k(l) = 33*l. Let h(j) = -6*j**2 + j. What is k(h(b))? -198*b**2 + 33*b Let v(x) = 4*x**2. Let t(f) = 51*f**2 - f. Determine t(v(c)). 816*c**4 - 4*c**2 Let t(u) = 2*u - 1 + 1. Let b be (8/(-14))/(10/(-35)). Let w(o) = 4*o**2 + 3*o**2 + o**b. What is t(w(l))? 16*l**2 Let a(b) = -8*b**2. Let c(u) = 17*u + 2. Give a(c(k)). -2312*k**2 - 544*k - 32 Let d(x) = -x**2. Suppose -r = 3*r - 32. Let f = -6 + r. Let u(h) = -3*h**2 + h**2 + h**f. Give u(d(y)). -y**4 Let d(a) = 2*a. Let z(h) = -h**3 + h**2 - h + 2. Let s be z(2). Let b be -31*2*2/s. Let o(l) = l**2 - 31*l + b*l. Give o(d(y)). 4*y**2 Let p(b) = -14*b**2 + 8*b. Let w(x) = 10*x**2 - 5*x. Let j(f) = -5*p(f) - 8*w(f). Let i(u) = 8*u**2. Determine j(i(s)). -640*s**4 Let l(k) = -3*k. Let t(a) = 19*a**2 - 13*a. Let i(y) = 9*y**2 - 6*y. Let g(c) = 13*i(c) - 6*t(c). What is l(g(s))? -9*s**2 Let h(n) = -2*n**2. Let y(j) = 4*j**2 + 4. Let b(p) = 5*p**2 + 4. Let w(q) = 6*b(q) - 7*y(q). Let l(a) be the first derivative of w(a). Determine h(l(t)). -32*t**2 Let q(g) = -g**2. Let p(o) be the second derivative of -o**3/2 - 8*o. Determine q(p(h)). -9*h**2 Let r(l) = 4*l**2 + 13*l + 13. Suppose 5*q = 13 + 2. Let s(k) = q*k + 3 + k**2 + 5 - 5. Let c(n) = -6*r(n) + 26*s(n). Let g(t) = -3*t. Give g(c(o)). -6*o**2 Let p(h) = -3*h. Let v(m) = 15*m. Let a(s) = -11*p(s) - 2*v(s). Let i(f) = 34*f**2 + 14. Let y(q) = -7*q**2 - 3. Let x(w) = -3*i(w) - 14*y(w). What is x(a(o))? -36*o**2 Let n(o) = -37*o. Let y(m) = -23*m. Give n(y(p)). 851*p Let h(g) be the third derivative of -g**6/360 + 5*g**3/6 + 2*g**2. Let v(l) be the first derivative of h(l). Let o(s) = -11*s. Determine v(o(t)). -121*t**2 Let m(s) be the first derivative of -s**2/2 - 19. Let x(h) = -29*h**2. What is m(x(p))? 29*p**2 Let d(o) = o**2. Let c(l) = 12*l**2 + 3*l - 3. Let i(p) = 23*p**2 + 5*p - 5. Let y(a) = -5*c(a) + 3*i(a). What is d(y(b))? 81*b**4 Let k(v) be the first derivative of v**3 - 5. Let q(u) = 10*u**2. What is k(q(s))? 300*s**4 Let w(x) = -1 - x + 1 + 2*x. Let d(a) = 11*a - 6. Let b(y) = -y + 1. Let v(s) = -6*b(s) - d(s). Determine w(v(c)). -5*c Let y(z) = z. Let r(p) = p - 2. Let g(k) = -2*k - 12. Let u(n) = 3*n + 13. Let o(j) = 6*g(j) + 5*u(j). Let t(b) = 4*o(b) - 14*r(b). Calculate y(t(x)). -2*x Let i(o) = 0*o + o + 6*o + 6. Let a(x) = -6*x - 5. Let c(v) = -6*a(v) - 5*i(v). Let z(m) = 0 + 0 + 2*m. What is c(z(g))? 2*g Let b(m) = 2*m. Let y(u) = 68*u**2 + 10*u. Determine b(y(d)). 136*d**2 + 20*d Let b(l) be the first derivative of -l**2 - 14. Let p = -2 + 4. Let r(i) = 3 - 3 - 3*i**p. Determine b(r(m)). 6*m**2 Let h(o) = -2*o**2. Let t(l) = 3*l**2 - 2*l - 2. Let a(n) = 7*n**2 - 5*n - 5. Let z = -29 - -60. Suppose 9 + z = -4*j. Let m(f) = j*t(f) + 4*a(f). Give h(m(g)). -8*g**4 Let p(i) = 20*i. Let j(a) = -30*a**2. Calculate j(p(z)). -12000*z**2 Let n(i) be the second derivative of -i**3/6 + i. Let r(j) be the second derivative of 2*j**3/3 - 14*j. Give n(r(v)). -4*v Let h(v) = v + 18. Let p be h(-11). Let q(l) = 3*l - p*l - 3*l. Let r(x) = -2*x**2. Calculate q(r(g)). 14*g**2 Let y(m) = -6*m. Let k(r) = 19*r + 11*r - 49*r + 16*r. Determine k(y(g)). 18*g Let q(h) = 1982*h. Let w(j) = -j**2. Determine q(w(v)). -1982*v**2 Let y(w) = -122*w + 2. Let c(r) = -r. What is y(c(f))? 122*f + 2 Let u(g) be the first derivative of -3*g**2/2 + 1. Let x(n) = -4*n + 3. Let h(l) = 7*l - 5. Suppose -p + 0 = 3. Let y(d) = p*h(d) - 5*x(d). Calculate u(y(z)). 3*z Let i(q) = -2*q. Let t(b) = -189*b**2 + 17. Give i(t(h)). 378*h**2 - 34 Let d(n) = -2*n**2. Let w(j) = -31*j + 16*j - 42*j**2 + 15*j. Calculate w(d(b)). -168*b**4 Let u(q) = -2*q**2. Let b(k) be the third derivative of k**8/6720 + k**5/10 + 4*k**2. Let p(g) be the third derivative of b(g). Determine u(p(c)). -18*c**4 Let m(r) = -16*r**2 + 4 - 4. Let y(g) = g. What is y(m(b))? -16*b**2 Let n(k) = 2*k. Let p(d) = -8*d - 2*d**2 + 8*d + 4*d**2. What is p(n(j))? 8*j**2 Let m(o) be the second derivative of -o**3/3 + 51*o. Let i(k) = -4*k**2 + 5*k + 5. Let l(x) = -2*x**2 + 3*x + 3. Let s(v) = -3*i(v) + 5*l(v). What is m(s(r))? -4*r**2 Let j(i) = 6*i**2. Let m(y) = 3*y**2 + 5*y - 5. Let o(g) = -4*g**2 - 6*g + 6. Let q(k) = 6*m(k) + 5*o(k). Determine j(q(r)). 24*r**4 Let a be (-4)/10 - 66/(-15). Let i(n) = -a + 4 - n. Let q(g) = -4*g**2 + 8*g - 8*g. What is q(i(r))? -4*r**2 Let b(n) = -4*n**2. Let h(i) = 4*i**2 - 3*i. Let c(l) be the first derivative of l**3 - l**2 + 1. Let a(j) = 6*c(j) - 4*h(j). Calculate a(b(p)). 32*p**4 Let p(j) = j**2. Let x(g) be the first derivative of 2 - g**2 + 0*g**2 + 0*g**2. Determine p(x(i)). 4*i**2 Let a(j) be the first derivative of 0*j**2 + 0*j + 1 + 2/3*j**3. Let c(u) = -2*u**2. What is a(c(r))? 8*r**4 Let f(y) = -y**2. Let v(u) = 0 + 0 + 34*u**2 - 18*u**2. What is f(v(k))? -256*k**4 Let q(c) = 2*c**2. Let d(b) = -3*b**2 - 4. Let m(x) = -x**2 - 1. Let r(l) = d(l) - 4*m(l). Determine r(q(i)). 4*i**4 Let w(r) = -4*r**2. Let x(o) be the second derivative of o**3/6 - o. What is x(w(u))? -4*u**2 Let v(w) = -3*w. Let c(j) = -2*j**2 - 3*j**2 + 6*j**2. Give c(v(y)). 9*y**2 Let q(g) = -2*g. Let o(b) = -310*b**2 + 2. Calculate q(o(v)). 620*v**2 - 4 Let c(k) = 86*k**2. Let q(v) = -3*v**2 - 4*v - 4. Let o(n) = n**2 + n + 1. Let p(f) = -4*o(f) - q(f). Give c(p(d)). 86*d**4 Let n(a) = -3*a**2. Let v(y) be the second derivative of -5*y**3/6 + 3*y. Calculate v(n(z)). 15*z**2 Let t(n) = n - 3. Let g(z) = z**3 - z. Let b = -6 + 5. Let w(q) = b*g(q) - t(q). Let d(c) be the first derivative of w(c). Let s(a) = -a. Calculate d(s(r)). -3*r**2 Let h(a) be the third derivative of a**5/30 - a**2. Suppose 6*b - 5*l = 4*b - 11, -3*b = -2*l. Let g(z) = 2*z + 2*z**2 - b*z. Give h(g(p)). 8*p**4 Let s(f) = 2*f. Let a(q) = 4*q. Let c(m) = 2*a(m) - 5*s(m). Let h(i) = -13*i. Determine h(c(l)). 26*l Let c(b) = 23*b - 77 + 77. Let x(o) = -2*o. Calculate c(x(h)). -46*h Let i(k) be the first derivative of -4*k**3/3 - 16. Let f(n) = -16*n**2. Give i(f(q)). -1024*q**4 Let q(j) = 4*j**2. Let f(d) = -45*d + 16*d + 20*d. Calculate q(f(r)). 324*r**2 Let g(w) be the third derivative of w**5/60 - 3*w**2. Let f(k) = -13*k**2. Calculate f(g(x)). -13*x**4 Let u(z) = 4*z**2. Let i(l) = -l**2. Let s(q) = -5*i(q) - u(q). Let b(y) = -3*y. Calculate s(b(k)). 9*k**2 Let y(t) be the second derivative of -t**4/6 - 6*t. Let i(r) be the third derivative of 0*r**3 + 0*r + 0*r**4 - r**2 + 1/30*r**5 + 0. Calculate y(i(q)). -8*q**4 Let a(s) = -6*s**2. Let t(o) = 13*o. Give a(t(q)). -1014*q**2 Let h(p) = -12*p. Let g(o) = -65*o**2 - 3*o. Determine g(h(y)). -9360*y**2 + 36*y Let r(f) = 5 - 2 - 3 - f**2. Let x(h) = 7*h**2. What is x(r(l))? 7*l**4 Suppose u - 5*c + 1 = 0, 3*c - 17 = -3*u - 2. Suppose u*h + h = 15. Let r(l) = -4*l**2 + h*l**2 + 2*l**2. Let x(z) = -z**2. Determine r(x(m)). m**4 Let v(u) = -2*u. Let w(t) = -t + 9. Let o be w(9). Suppose 2*d - 6 + 2 = o. Let m(h) = -7*h**d + 3 + 2*h**2 - 3. Give v(m(p)). 10*p**2 Let w(i) be the second derivative of 3*i + 0 + 1/3*i**3 + 0*i**2. Let q(h) = -4*h**2. Determine w(q(m)). -8*m**2 Let q(d) = 4*d**2. Let k(l) = -969*l**2. Calculate k(q(v)). -15504*v**4 Let o(a) = -a**2. Let m(f) = f**3 - 2*f**2 - 2. Let z be m(3). Let h(l) = -z*l + 3 - 3. Give o(h(n)). -49*n**2 Let o(a) = -2*a.
{ "pile_set_name": "DM Mathematics" }
24. 6120 What is the smallest common multiple of 36 and 160? 1440 Calculate the common denominator of -125/24 and -107/1692. 3384 What is the common denominator of 14/69 and -73/60? 1380 What is the smallest common multiple of 47 and 219? 10293 What is the least common multiple of 1160 and 200? 5800 Find the common denominator of 29/2 and -37/21156. 21156 Calculate the lowest common multiple of 324 and 63. 2268 Calculate the least common multiple of 4 and 2268. 2268 Calculate the lowest common multiple of 9 and 88. 792 Find the common denominator of -28/9 and 17/780. 2340 What is the lowest common multiple of 126 and 21? 126 Calculate the lowest common multiple of 8 and 72. 72 What is the common denominator of -54/17 and -18/187? 187 What is the common denominator of -41/3 and 19/6? 6 Calculate the common denominator of -46/5 and 8/3. 15 What is the smallest common multiple of 156 and 24? 312 What is the least common multiple of 35 and 28? 140 What is the least common multiple of 91 and 11? 1001 What is the least common multiple of 6 and 4? 12 Find the common denominator of 83/24 and 61/112. 336 Find the common denominator of -37/18 and -13/873. 1746 Find the common denominator of -25/8 and 101/42. 168 What is the common denominator of 5/3 and -61/201? 201 Calculate the common denominator of 68/105 and 9/77. 1155 What is the least common multiple of 18 and 48? 144 What is the common denominator of 23/2 and -35/16? 16 What is the smallest common multiple of 270 and 6? 270 Find the common denominator of -29/5464 and -7/8. 5464 What is the least common multiple of 1007 and 8? 8056 Calculate the common denominator of 59/432 and -119/5184. 5184 Calculate the common denominator of 1/50 and -81/100. 100 What is the common denominator of -42/11 and -20/38273? 421003 Find the common denominator of -93/28 and -27/11. 308 What is the lowest common multiple of 3220 and 2208? 77280 Calculate the lowest common multiple of 9405 and 9. 9405 Calculate the lowest common multiple of 27 and 36. 108 What is the smallest common multiple of 6780 and 18? 20340 What is the common denominator of 38/3 and -89/360? 360 Calculate the lowest common multiple of 10 and 13. 130 What is the common denominator of 47/24 and 1/1203? 9624 What is the common denominator of -17/22023 and -32/5? 110115 Calculate the least common multiple of 832 and 12. 2496 What is the lowest common multiple of 7 and 328? 2296 What is the lowest common multiple of 2 and 432? 432 Calculate the common denominator of 24/121 and 74/9. 1089 Calculate the common denominator of -113/42 and -83/3892. 11676 Calculate the least common multiple of 69 and 258. 5934 Calculate the common denominator of 47/12 and 82/1197. 4788 What is the smallest common multiple of 4568 and 5710? 22840 What is the lowest common multiple of 14 and 77? 154 Calculate the common denominator of -97/60 and -97/820. 2460 Calculate the lowest common multiple of 1155 and 363. 12705 What is the lowest common multiple of 56 and 70? 280 What is the common denominator of 35/318 and -23/45? 4770 What is the lowest common multiple of 24 and 9? 72 What is the lowest common multiple of 1485 and 2970? 2970 What is the lowest common multiple of 9 and 40? 360 Find the common denominator of -49/4 and -28/95. 380 What is the smallest common multiple of 192 and 800? 4800 Calculate the smallest common multiple of 77 and 126. 1386 What is the smallest common multiple of 32 and 72? 288 Calculate the smallest common multiple of 31 and 61. 1891 Calculate the common denominator of -17/1352 and 131/48. 8112 Find the common denominator of -131/1764 and 61/1764. 1764 Calculate the common denominator of 17/6 and -131/12. 12 What is the common denominator of 73/18258 and 25/8? 73032 Calculate the least common multiple of 135 and 528. 23760 What is the common denominator of -109/192 and 41/72? 576 Find the common denominator of -33/323 and -7/95. 1615 What is the common denominator of 89/124 and -35/24? 744 What is the lowest common multiple of 72 and 180? 360 Calculate the common denominator of 63/44 and 55/2528. 27808 What is the lowest common multiple of 4 and 34? 68 Calculate the common denominator of 61/385 and -113/980. 10780 What is the common denominator of -83/21 and -74/9? 63 Calculate the lowest common multiple of 4615 and 39. 13845 What is the smallest common multiple of 488 and 36? 4392 What is the smallest common multiple of 77 and 3069? 21483 Calculate the smallest common multiple of 95 and 5. 95 Calculate the smallest common multiple of 30 and 6. 30 Find the common denominator of 79/152 and 37/2. 152 Calculate the lowest common multiple of 12 and 1848. 1848 Find the common denominator of 19/6 and 71/20. 60 Calculate the least common multiple of 1092 and 630. 16380 Find the common denominator of 11/27 and -8/9. 27 What is the least common multiple of 8 and 2442? 9768 Calculate the common denominator of -101/3126 and 8/63. 65646 Find the common denominator of -109/8202 and -58/15. 41010 Calculate the lowest common multiple of 3 and 12. 12 Calculate the lowest common multiple of 10 and 3446. 17230 Calculate the least common multiple of 27 and 222. 1998 What is the common denominator of -68/9 and 193/5700? 17100 Calculate the common denominator of -17/20 and -119/66. 660 Calculate the lowest common multiple of 45 and 20. 180 Find the common denominator of 54/85 and 36/119. 595 What is the lowest common multiple of 402 and 804? 804 What is the common denominator of 37/24 and -33/8? 24 What is the common denominator of 53/578 and 69/6358? 6358 What is the lowest common multiple of 7 and 70? 70 Calculate the lowest common multiple of 15 and 435. 435 What is the common denominator of -2/69 and -149/24? 552 Calculate the smallest common multiple of 4310 and 3879. 38790 Calculate the common denominator of -79/88 and -81/748. 1496 Calculate the smallest common multiple of 642 and 36. 3852 What is the common denominator of -39/20 and -57/80? 80 What is the least common multiple of 2436 and 32? 19488 Find the common denominator of -59/34 and 151/336. 5712 What is the smallest common multiple of 155 and 40? 1240 What is the smallest common multiple of 100 and 10? 100 Calculate the common denominator of -113/6270 and -73/627. 6270 Calculate the common denominator of -65/8 and -101/26. 104 What is the smallest common multiple of 12 and 68? 204 Calculate the lowest common multiple of 18 and 8. 72 Find the common denominator of -55/3732 and -65/6. 3732 What is the common denominator of -111/80 and -131/140? 560 What is the lowest common multiple of 40 and 50? 200 Calculate the smallest common multiple of 584 and 803. 6424 What is the least common multiple of 168 and 2604? 5208 What is the common denominator of 67/336 and -25/6? 336 What is the common denominator of -49/9 and -67/57? 171 What is the smallest common multiple of 135 and 75? 675 What is the common denominator of 103/40 and 59/36? 360 Calculate the least common multiple of 2 and 15278. 15278 Calculate the common denominator of -26/7 and 1/59. 413 Find the common denominator of -56/219 and 95/438. 438 What is the common denominator of -26/99 and -53/27? 297 Calculate the lowest common multiple of 3 and 157. 471 Calculate the lowest common multiple of 2220 and 4070. 24420 Calculate the common denominator of -49/8 and 43/154. 616 What is the common denominator of 3/8 and -3/3589? 28712 Calculate the least common multiple of 39 and 7. 273 What is the lowest common multiple of 130 and 11? 1430 Calculate the least common multiple of 104 and 12. 312 What is the smallest common multiple of 824 and 412? 824 Calculate the common denominator of -14 and -131/90. 90 What is the lowest common multiple of 540 and 11? 5940 Find the common denominator of 139/24 and -52/2259. 18072 Find the common denominator of -73/10 and 20/1871. 18710 Calculate the smallest common multiple of 171 and 69. 3933 What is the least common multiple of 1732 and 6? 5196 Calculate the smallest common multiple of 106 and 18. 954 What is the least common multiple of 4090 and 2863? 28630 Find the common denominator of 62/9 and 65/54. 54 Calculate the smallest common multiple of 925 and 925. 925 Find the common denominator of 6/7 and 29/98. 98
{ "pile_set_name": "DM Mathematics" }
7 (b) 10 (c) -0.08 (d) 26397 a Which is the fifth smallest value? (a) 1 (b) 0 (c) 741 (d) -460 (e) -0.2 c What is the smallest value in 2/7, -4, -1/7, -5711424? -5711424 What is the fifth biggest value in -2/227, 1.9, 2/7, -0.1, 0.1, 2/5, -1? -2/227 What is the fourth smallest value in -98/855, 2/7, -3, -1/9? 2/7 Which is the second smallest value? (a) -18 (b) -8.82 (c) -462 a Which is the second smallest value? (a) 0.005 (b) -12 (c) -0.3964 c What is the sixth smallest value in -1/5, -4, 11136, -0.3, 24, -7, 4? 24 Which is the third biggest value? (a) -2/7 (b) 3 (c) 1986 (d) -61 a Which is the third smallest value? (a) 271440 (b) -0.66 (c) -4 a Which is the third biggest value? (a) 2133 (b) -0.4 (c) 2182 b Which is the second smallest value? (a) -1/3 (b) 5 (c) 10.7 (d) -1072 a Which is the third biggest value? (a) -2/9 (b) 1 (c) -3 (d) 0.5 (e) -13 (f) 4 (g) -2711 d What is the third smallest value in 3/2, 143, -3, 0.0773, -2/3, 0, -6/5? -2/3 What is the third smallest value in -300, -0.05, 0, 5, 2/9, 17/4? 0 What is the fifth biggest value in -0.2, 2/5, 4, -0.4, 0.0284, 7/12? -0.2 What is the smallest value in -2/17, 0.2, -4, 6, 3, -4/21? -4 What is the third smallest value in -100/18883, -1, -0.2? -100/18883 What is the fifth smallest value in 1.1, -1, 23/2, 1, -2.4? 23/2 Which is the second biggest value? (a) 3/8 (b) -1/6 (c) -0.02 (d) -0.1 (e) 222809 a What is the sixth biggest value in -0.061, 30, 5, -4, 4, -2/69? -4 Which is the seventh biggest value? (a) 66 (b) -0.4 (c) -2/9 (d) -0.3 (e) -0.355 (f) -44 (g) -2/19 f What is the second biggest value in 2, 3, 14, -67.101? 3 Which is the biggest value? (a) -991 (b) -522 (c) 2/3 (d) -1/2 (e) 0.1 (f) -0.3 c Which is the third biggest value? (a) 5 (b) 183 (c) 2024 (d) 4 (e) -0.1 (f) 3 a What is the smallest value in 0.156, 1/3, -4/5, -4/7, 10, -35? -35 Which is the sixth smallest value? (a) 13 (b) -1.1 (c) 103909 (d) -0.3 (e) 0.2 (f) -0.4 (g) 0.3 a Which is the fifth biggest value? (a) 0.11 (b) -59 (c) 3/8 (d) -344 (e) -1/2 d Which is the fourth smallest value? (a) 11 (b) -2023 (c) -4 (d) -0.077 a Which is the second biggest value? (a) 2053 (b) 5 (c) -5 (d) 2/7 (e) 2 (f) 0.9 (g) 7/4 b What is the smallest value in -3, 5, -1562, -4117? -4117 Which is the seventh biggest value? (a) -3/8 (b) -1/4 (c) -1/25 (d) 73.2 (e) 2 (f) -3/4 (g) -3 g Which is the second biggest value? (a) 2 (b) 13 (c) 4 (d) -2/3 (e) 0.458 (f) -3 (g) 1/2 c Which is the second smallest value? (a) 2590 (b) -0.7 (c) 23 c Which is the sixth smallest value? (a) 8 (b) 0.4 (c) -2/51 (d) 17/4 (e) 6 (f) -1.41 a Which is the third smallest value? (a) -6 (b) 16028/13 (c) 1.3 b What is the smallest value in 6, -1/7, 0.6, -17152/7? -17152/7 Which is the fifth biggest value? (a) 0.14 (b) -1 (c) 0.16 (d) -41 (e) -71 e What is the third smallest value in 2/11, 15/7, -39.2, 5? 15/7 Which is the second biggest value? (a) -1/3 (b) -1/7 (c) -3 (d) -397383 (e) 1 (f) 0.7 f Which is the second biggest value? (a) 0.085 (b) -0.04 (c) -13585 b What is the fifth biggest value in -5, -0.2, -0.01, 59, 10/73? -5 Which is the third biggest value? (a) -1/867 (b) 2/5 (c) 2/601 (d) -1/9 a What is the sixth biggest value in 350, -3, -0.82, -0.1, -4, -36? -36 Which is the third biggest value? (a) -5 (b) 2/11 (c) -49/6 (d) 2/303 (e) -1/4 (f) -2 (g) 4 d Which is the fourth biggest value? (a) 0.05 (b) 0 (c) -2.5 (d) 74/11 (e) -25 (f) 0.1 b What is the third smallest value in -5, -197, -112, 0.071, 6/11, 2, 5? -5 What is the smallest value in 1/2, -14, 0, 0.072602? -14 What is the smallest value in -1/5, -102, 1/5, 5/3, -1/7, 0.0475, -2? -102 What is the biggest value in 267.61, -4/45, 4? 267.61 What is the third biggest value in -106668, 2/5, -2/269? -106668 What is the third biggest value in 18692/1019, 4, 2/7? 2/7 What is the biggest value in -0.03, 7, 1, -0.18, 2/11, -1.2? 7 Which is the third biggest value? (a) -2/11 (b) 0.3 (c) 72/173 (d) 0 d What is the biggest value in 5, 2.9, -1/4, -520921/4? 5 Which is the fourth smallest value? (a) 2.226 (b) -5 (c) 537 (d) 3 c What is the biggest value in 2, -151, 17111? 17111 Which is the second biggest value? (a) 1 (b) -1/31 (c) -1.31469 b What is the fourth biggest value in -4/159, 2, 3.06, -5? -5 What is the second biggest value in 0.1, -41/6, -1/4, 7, 3/7, 8, -1/3? 7 What is the third biggest value in 419332, -2, -1.2? -2 What is the fifth smallest value in 0.05, -33, 3/8, -2/3, 4/5, 285, 3? 4/5 Which is the third smallest value? (a) 1/2 (b) -4 (c) -2/9 (d) -8 (e) 0 (f) 1/11 (g) 10 c What is the sixth biggest value in -3, 5, -4, -2/3, 1, 0.12, -123869? -4 What is the smallest value in 65, 20, 3, -1.1, -1? -1.1 What is the third smallest value in 0.04, -0.3, -3, -18149? -0.3 What is the third biggest value in -0.06, -5, -2, 17531, 2/3, 5? 2/3 What is the biggest value in 475.515, 85, -1/3? 475.515 Which is the biggest value? (a) -20/3 (b) 9 (c) 10/27 (d) -3/7 (e) -0.1 b What is the second smallest value in -2, -963011, -0.4, 0.09? -2 Which is the fifth biggest value? (a) -0.4 (b) 3/43 (c) 4/8519 (d) 3 (e) 0 a What is the second smallest value in -120, -5, -4, 21/2, 388? -5 Which is the second biggest value? (a) -5 (b) -1.01 (c) -0.2 (d) -1873 (e) 1/3 (f) 4 e Which is the second biggest value? (a) 0.4 (b) 1/6 (c) 1/7 (d) 50275 (e) 7/2 e What is the third biggest value in -9.7, -0.4, 57, -0.01, 1/2, 13? 1/2 What is the biggest value in 4, -12, 2.4, -0.1, -468? 4 What is the third biggest value in -94, -1, -2/17169? -94 Which is the smallest value? (a) 2/2747 (b) -4 (c) -0.5 (d) 0.11 b What is the sixth smallest value in 4, 10, 0.4, 17600, -2/5, -1/3, 0? 10 What is the third biggest value in 0.5, -2, -1244627? -1244627 Which is the third biggest value? (a) -2/615 (b) 1/28 (c) -8/29 c Which is the biggest value? (a) -218.2 (b) -1 (c) 1.7 (d) -2.2 c Which is the second biggest value? (a) 22/311 (b) -3 (c) -0.3 (d) 2366 a What is the second smallest value in -2, -21, 24, 4/3, 0.2, 0.08, 0.4? -2 What is the third biggest value in 20, -1/2, 5/28, -24, 2? 5/28 Which is the fourth biggest value? (a) -26.1 (b) -0.2 (c) 2/19 (d) -343.1 d Which is the sixth biggest value? (a) -5 (b) 3 (c) -0.5 (d) -454.375 (e) -4 (f) 2/21 d Which is the fourth smallest value? (a) -12 (b) -39.1 (c) 0.147 (d) 2/11 d Which is the second biggest value? (a) 3 (b) -4 (c) 0.859103 c Which is the fifth smallest value? (a) -4 (b) 4218.4 (c) 4 (d) -1 (e) -2/7 b Which is the fourth smallest value? (a) -195 (b) 211 (c) 0 (d) -672 b Which is the third smallest value? (a) -0.5 (b) 11211 (c) -5 (d) 0.6 (e) -43 a What is the smallest value in -9532, 1, 3, 9, -0.2? -9532 What is the fourth biggest value in -15, 0.1, -2, -13, 3, 3/33283? -2 Which is the sixth smallest value? (a) 41/5 (b) 0 (c) -7 (d) -1 (e) -2/9 (f) -0.2 (g) 1464 a Which is the fifth smallest value? (a) -0.45 (b) -0.21 (c) 4 (d) 132/13 (e) 3/7 d What is the smallest value in 347, 0.2, -10, -11, -6? -11 What is the smallest value in -11, -0.4, 98, 1/3, 1/60, 146, -0.5? -11 What is the second smallest value in -4, -3, 5, 0.7, 30.5, -2/11? -3 What is the smallest value in 0.0446, 10, -294? -294 Which is the smallest value? (a) -0.4 (b) 6/11 (c) 6.6 (d) -4/3 (e) 2/627 d What is the second smallest value in -0.5, 0, 61/6, -1/9, 166? -1/9 What is the second biggest value in -103558, 0.5, -2/5? -2/5 What is the fourth biggest value in 4, -4/5, 0.052, 250324? -4/5 Which is the third biggest value? (a) -37/60 (b) 0.16 (c) 5.3 a Which is the second biggest value? (a) -3 (b) 5 (c) -1/34 (d) 4/1841 (e) 0.3 (f) 0.1 e What is the seventh biggest value in 5/8, -1/2, -9, -2, 63, 1/4, 2.7? -9 What is the biggest value in -0.3, -34189, -4, -5, -1/3? -0.3 What is the fifth biggest value in -2/11, -25566, -1000, 5, -1/4? -25566 What is the biggest value in -2, 58, 30, -1/4557? 58 Which is the fourth biggest value? (a) -0.04 (b) 1 (c) -17.0831 (d) -0.4 c What is the fifth smallest value in -3.52, 17/3, 1, 0.3, 309, 0? 17/3 Which is the seventh biggest value? (a) -
{ "pile_set_name": "DM Mathematics" }
lect the terms in -4844*t**2 + 14584*t**2 - 4876*t**2 - 4867*t**2. -3*t**2 Collect the terms in -46*u - 471 - 3*u**3 + 32*u + 16*u. -3*u**3 + 2*u - 471 Collect the terms in -4 + 4 + 66500*r**2 - 67368*r**2 - 2*r. -868*r**2 - 2*r Collect the terms in 1696*b**2 - 941*b**2 - 1562*b**2. -807*b**2 Collect the terms in -230*x**2 - 11*x**2 + 987*x**2 + 151*x**2 + 396*x**2. 1293*x**2 Collect the terms in -28*a**2 + 2*a**3 - 34*a + 7*a + 30*a**2 - 44*a**3 - 13*a**3. -55*a**3 + 2*a**2 - 27*a Collect the terms in 5573 + 26720*u**3 + 5575 - 11148. 26720*u**3 Collect the terms in -10*l + 10*l - 1457*l**3 - 809*l**3. -2266*l**3 Collect the terms in 2*a - 85*a**2 - 4*a + 172*a**2 - 86*a**2 + 2 - 8*a. a**2 - 10*a + 2 Collect the terms in -1 + 8066*k + 1 - 8507*k + 25590*k. 25149*k Collect the terms in -4473 - 4476 - 4484 - 4476 - 4480 + 22389 + 39*u**3. 39*u**3 Collect the terms in 23815 + 7*s**3 + 314*s**3 - 23815 + 151*s**3. 472*s**3 Collect the terms in -3*h - 2858 + 11385 - 2866 - 2850 - 2842. -3*h - 31 Collect the terms in -8895*k + 885*k + 3*k**3 + 49419*k. 3*k**3 + 41409*k Collect the terms in -15*u**3 + 2*u + 5*u - 2021 - 7*u. -15*u**3 - 2021 Collect the terms in 13878*s**2 - 14*s - 10*s - 13895*s**2 - 13*s - 11*s + 48*s. -17*s**2 Collect the terms in -85*p - 726 + 15*p - 41*p - 86*p. -197*p - 726 Collect the terms in 36 + 2*f**2 + f**2 + 9 - 11*f**2 + 10*f**2 - 249. 2*f**2 - 204 Collect the terms in 8*c - 108037074 + 108037074. 8*c Collect the terms in 408*g**3 - 18 - 147 + 172. 408*g**3 + 7 Collect the terms in 3921769*g - g**3 - 48*g**2 + 0*g**3 - 3921818*g. -g**3 - 48*g**2 - 49*g Collect the terms in 25 - 6 - 45934*v**2 + 91857*v**2 - 45934*v**2 - 19. -11*v**2 Collect the terms in -299 + 659 - 324 + 4*d**2 - 2*d**2. 2*d**2 + 36 Collect the terms in 38146 - 19083 - 69*s**2 - 2*s - 19076. -69*s**2 - 2*s - 13 Collect the terms in -274*d**2 - 267*d**2 + 806*d**2 - 249*d**2. 16*d**2 Collect the terms in -6 - 14 + 267*l**3 + 5 - 8. 267*l**3 - 23 Collect the terms in 17668*k**2 - 70462*k**2 + 17617*k**2 + 17612*k**2 + 17690*k**2. 125*k**2 Collect the terms in -83*l + 3558*l + 2180*l + 14816*l. 20471*l Collect the terms in -1658*r + 4970*r - 1661*r - 1645*r. 6*r Collect the terms in -3233*b**3 + 1602*b**3 - 2*b**2 + 1711*b**3. 80*b**3 - 2*b**2 Collect the terms in -7*r - 2*r + 1785690*r**2 - 1785689*r**2 - 6*r + 15*r. r**2 Collect the terms in -709185*w + 153*w**2 - 258*w**2 + 709185*w. -105*w**2 Collect the terms in -2272333878*t - 70*t**3 + 2272333878*t. -70*t**3 Collect the terms in -5980757 - 147*g + 5980757. -147*g Collect the terms in 207 + 204 + 220 + 95*b - 629. 95*b + 2 Collect the terms in 2784*y + 2960*y - 6012*y. -268*y Collect the terms in -63*k**2 - 1 - 63*k**2 + 5 - 636*k**2 + 4 - 7. -762*k**2 + 1 Collect the terms in -250 - 254 + 763 - 259 - 250*f. -250*f Collect the terms in 2 + 2456*s**2 - 758*s**2 - 2 - 862*s**2 - 829*s**2. 7*s**2 Collect the terms in -33472*r + 4 - 33548*r + 67052*r - 2. 32*r + 2 Collect the terms in 132*y**2 + 82*y**2 + 84*y**2 - 372*y**2 + 78*y**2. 4*y**2 Collect the terms in 7 + 10*h + 364*h - 8 + 575*h + 377*h. 1326*h - 1 Collect the terms in 21432*g**3 - 41636*g**3 + 21605*g**3. 1401*g**3 Collect the terms in -2089*s - 45*s**2 + 363*s + 1726*s. -45*s**2 Collect the terms in 340685*x**3 - 170344*x**3 - 170343*x**3 - 9*x. -2*x**3 - 9*x Collect the terms in 45*n**2 + 69*n**2 + 55*n**2 - 201*n**2 + 72*n**2 + 49*n**2. 89*n**2 Collect the terms in -1 + 1 + 0 - 31191*h + 7. -31191*h + 7 Collect the terms in -5092724819*x + 5092724819*x - x**2. -x**2 Collect the terms in -77 - 19*n**3 + 82 - 303*n + 3*n**2 - 3*n**2. -19*n**3 - 303*n + 5 Collect the terms in 97*p**3 - 40697*p + 40707*p - 6*p**3. 91*p**3 + 10*p Collect the terms in -115 - 4*g + 4*g + 3*g + 51 + 77. 3*g + 13 Collect the terms in -5085*z + 55 + 5086*z - 118 + 63 - 476*z**3 + 2126*z**3. 1650*z**3 + z Collect the terms in -2009*i**3 + 568*i**3 + 560*i**3 + 611*i**3. -270*i**3 Collect the terms in 13*k + 13*k + 3134*k**2 - 224*k**3 - 2 + 15*k - 41*k - 3142*k**2. -224*k**3 - 8*k**2 - 2 Collect the terms in -980707389137 + 8*k**3 + 980707389137. 8*k**3 Collect the terms in 2013*n - 4420*n + 1208*n + 1244*n. 45*n Collect the terms in f - 3*f - 11131*f**3 - 6*f**2 + 11141*f**3. 10*f**3 - 6*f**2 - 2*f Collect the terms in 5151*m - 15264*m - 1 + 1 + 5463*m + 5435*m. 785*m Collect the terms in -14549*d + 43382*d - 14508*d - 5 - 14525*d. -200*d - 5 Collect the terms in -1 + 3*u + 4*u + 1047*u**3 + 2*u + 3*u - 11*u - 1190*u**3. -143*u**3 + u - 1 Collect the terms in -354*j**2 + 15149*j**3 + 354*j**2 - 4*j. 15149*j**3 - 4*j Collect the terms in 2914*p + 565363 - 565363. 2914*p Collect the terms in -211198*o - 85*o**3 + 211198*o + 2. -85*o**3 + 2 Collect the terms in 9 - 139*a + 130*a + 174*a + 121*a. 286*a + 9 Collect the terms in 7290*r**2 + 3*r**3 - 2*r - r + 2 + 3*r**3 + 7160*r**2. 6*r**3 + 14450*r**2 - 3*r + 2 Collect the terms in 1028*i**2 + 941*i**2 + 1260*i**2 + 2287*i**2 - 209*i**2. 5307*i**2 Collect the terms in 21*l**2 - 162*l**2 - 180*l**2 + 49*l**2. -272*l**2 Collect the terms in -602164*m**2 + 1808937*m**2 - 603390*m**2 - 603384*m**2. -m**2 Collect the terms in -8*a + 257*a**2 + 8*a + 198. 257*a**2 + 198 Collect the terms in -24*f**3 - 16*f**3 + 106*f**3 - 24*f**3 + 15*f**3 - 67*f**3. -10*f**3 Collect the terms in 871*j**3 - 543*j**3 - 5*j - 327*j**3. j**3 - 5*j Collect the terms in -z**3 - 488312554487 + 488312554487. -z**3 Collect the terms in 33*k + 223*k - 212*k + 188*k + 500*k. 732*k Collect the terms in -2 - 63 + 683*o + 2251*o + 66. 2934*o + 1 Collect the terms in 900*w - 218*w - 688*w. -6*w Collect the terms in 599*n + 439*n + 123*n + 257*n + 1 - 113*n. 1305*n + 1 Collect the terms in -885*q + 1992*q - 2 + 2 + 599*q + 1302*q. 3008*q Collect the terms in -1200*p**3 - 1256*p**3 + 2876*p**3 - 1199*p**3. -779*p**3 Collect the terms in -121*v - 331*v**2 - 1445*v**2 + 4*v + 4*v. -1776*v**2 - 113*v Collect the terms in -1413233*l**2 + 4394312*l**2 + 3 - 5. 2981079*l**2 - 2 Collect the terms in -19*g + 2*g**2 - g**2 + 19*g - g**2 - 5494*g**3 + 5500*g**3. 6*g**3 Collect the terms in 552*f - 2088*f + 561*f + 552*f + 420*f. -3*f Collect the terms in -1 + 11 + 9070*g - 8. 9070*g + 2 Collect the terms in 4461*r + 1681*r + 474*r + 1417*r - 278*r. 7755*r Collect the terms in 1531229*f**2 - 3062450*f**2 + 1531163*f**2. -58*f**2 Collect the terms in 14*g + 18*g + 14*g - 55*g + 10*g + 9*g. 10*g Collect the terms in -93708045201*u + 93708045205*u - 5 + 5. 4*u Collect the terms in 14*s**3 - 5*s**2 + 13*s**2 - s**2 - 15*s**3 - 6*s**2 + 27*s**3. 26*s**3 + s**2 Collect the terms in 2098708*q - 2019*q**3 - 2098708*q. -2019*q**3 Collect the terms in -309 - 384 + 1070 - 379 + 64*j**3. 64*j**3 - 2 Collect the terms in 2640*o**3 - 19569*o**3 - 4521*o**3. -21450*o**3 Collect the terms in -25 + 0 - 6 + 4378*v + 4. 4378*v - 27 Collect the terms in -2 - 29*c + 8*c**3 - 4*c**2 + 29*c - c**2. 8*c**3 - 5*c**2 - 2 Collect the terms in -199939*b**3 + 5*b**2 + 66663*b**3 + 66636*b**3 + 66642*b**3 - 5*b**2. 2*b**3 Collect the terms in -42583 + m**3 + 43011 + 0*m**2 + 2*m**2. m**3 + 2*m**2 + 428 Collect the terms in 3*s + 434*s**3 + 339*s**3 - 3*s + 0*s - 776*s**3. -3*s**3 Collect the terms in 107*c + 89*c + 81*c - 277*c - 167*c**2. -167*c**2 Collect the terms in 12*m - 12*m + 3*m**3 - 2682 + 2025 + 0*m + 657. 3*m**3 Collect the terms in 6 + 30 + 1903*j - 954*j - 31 - 950*j. -j + 5 Collect the terms in -2639925 + 2639925 - 119*c. -119*c Collect the terms in -253*r - 60426 + 60426 - 9*r**2 - 26*r**2. -35*r**2 - 253*r Collect the terms in -21*p + 21*p + 2*p + 2*p - 5*p - 8. -p - 8 Collect the terms in 5*c - 15*c - 410000*c**3 + 409999*c**3 + 0 + 0 + 0. -c**3 - 10*c Collect the terms in 37*c**2 - 4*c**2 - 33*c**2 - 1365*c**3 + 1376*c**3. 11*c**3 Collect the terms in d**2 - 946*d + 414*d + 1 - 887*d - 368*d + 213*d. d**2 - 1574*d + 1 Collect the terms in -940*a**3 - 844*a**3 - 2*a - 849*a**3 + 2619*a**3. -14*a**3 - 2*a Collect the terms in -8 + 5 - 5767978*w**3 + 3. -5767978*w**3 Collect the terms in 24 - 73 + 49 + 1878*v**3 - 943*v**3 - 941*v**3. -6*v**3 Collect the terms in 123*v + 223*v - 130*v + 36 - 122 + 141*v. 357*v - 86 Collect the terms in 236 - 378825*r**2 + 2026 + 378823*r**2 +
{ "pile_set_name": "DM Mathematics" }
+ 23 + 10 = 0. Is d(z) composite? True Let d be (-58144)/(-48)*3*1. Suppose -5*z = 5*c - 9085, -c + 0*c = -2*z + d. Is z a composite number? True Is 3206 + (1 - -2 - 8/2) a prime number? False Let v = 2089 + 100. Let u = 3750 - v. Is u a composite number? True Suppose -5*q = -20, 2*q - 15990 = -0*s - 2*s. Is s prime? False Let n(u) = u**3 + 8*u**2 + 8*u. Let z be n(-7). Let l = z + 10. Is -191*(-2 + l)*-1 composite? False Let a be (4 + (-1 - 3))/(2/2). Suppose a*j + 5*j = -2*p + 3817, 2*j = -2*p + 3808. Is p composite? False Let o(m) = -476*m + 6. Let i be o(-1). Suppose -354 = 3*c - 2433. Let k = c - i. Is k prime? True Let s(i) = -2*i**2 - 41*i - 49. Let z(j) = -j**2 - 21*j - 25. Let f(m) = 6*s(m) - 11*z(m). Is f(-10) composite? False Let s = -404 - -467. Suppose -24 = -o + 32. Suppose -o = -n + s. Is n a composite number? True Let k(s) = 615*s - 49. Is k(4) a composite number? False Let j(t) be the third derivative of 43*t**8/10080 - t**7/1008 + t**6/144 + t**5/15 - 11*t**2. Let a(q) be the third derivative of j(q). Is a(2) a prime number? False Suppose -7*v + 10143 = -17206. Is v composite? False Suppose 4*j - 19020 = -t + 3*j, 3*j = -5*t + 95110. Suppose 3*y + t = 8*y. Is y composite? True Let x = 12123 - 6008. Is x composite? True Suppose 0 = -6*t + 20 + 22. Is t/(168/(-16)) + 7090/6 composite? False Let p(t) = t + 6 + t**2 - 5*t + 10*t. Let q be p(-5). Is (-670)/10*q*-1 prime? True Let v(w) = w**2 - 4*w + 11. Let j(z) = 4*z**2 - 12*z + 33. Let y(k) = 6*j(k) - 17*v(k). Suppose 0 = -m - 2*m + 24. Is y(m) a composite number? True Let v(m) = -167*m - 7. Let t be v(-2). Suppose 4*a = a + t. Is a prime? True Let n be ((-28)/(-35))/((-2)/(-5)). Let m(y) = 0*y - n + 5 + y + y. Is m(17) a composite number? False Let r = 3399 + 4660. Is r a prime number? True Let l(q) = -2*q - 28. Let n be l(-17). Let u(s) = 20*s + 21. Is u(n) a composite number? True Suppose -5*o = -5*c - 9915 - 20025, -2*c + 23982 = 4*o. Is o prime? False Suppose 14*o = 10*o. Let b = 97 + 284. Suppose o = -f + 4*f - b. Is f a prime number? True Let n = 10495 - -1996. Is n prime? True Let s(n) = -n**2 + 7*n + 4. Let k be s(7). Suppose -w = z - 2, 0 = -2*w + 2*z + z + k. Suppose 0 = w*b - 3*b - 2*j + 133, -2*b - j + 275 = 0. Is b prime? True Let x(c) = 67*c**2 - 16*c - 26. Is x(-9) prime? False Let w be (15/4)/((-9)/(-36)). Let o be (18/w)/(3/10). Suppose f = o*f - 489. Is f prime? True Let g = 10921 + -2606. Is g prime? False Let x = -520 - -2957. Is x a composite number? False Suppose -7432 = -4*k - 2152. Let u be 3 - (-1)/(3/3132). Suppose -5*t = -5*o + k, 4*o + 3*t + 2*t = u. Is o prime? True Let q = -1 - -3. Let z = -446 - -1054. Suppose -5*k + q*k + w + z = 0, 614 = 3*k + 5*w. Is k a prime number? False Let f be 1/(-2 - (-10)/6). Suppose -k + 5*o = -617, -k = o - 418 - 211. Is k/3 + -1 + f composite? True Let i be 5*-33 - (4/(-2) + 2). Let n = i - -344. Is n composite? False Let v(o) = 143*o**2 - 5*o - 4. Let k be v(-3). Suppose -4227 = -5*h + k. Suppose 5*x = 5*f - h, -2*f + x - 199 = -637. Is f a prime number? False Suppose a - 12933 = -0*a + 4*b, 5*a - 64647 = 2*b. Is a a composite number? True Let r = 444 - 235. Suppose -r = -5*k + 41. Suppose i = y - k, -y - 115 = -3*y - 3*i. Is y a composite number? False Suppose -3*k + 27 + 3 = 0. Suppose 4*a - 2 = k. Suppose 2*f = -0*s + s - 95, -4*s = a*f - 380. Is s composite? True Suppose -4*g + 1 = -15. Let i(k) = -3 - g*k + 7*k - 6*k**3 + 3*k**2 - 4*k**2. Is i(-3) composite? True Let c = 49352 - -1170. Is c prime? False Let g(z) be the second derivative of z**5/20 + z**4/4 - z**3/6 + 8*z. Let t be g(-2). Suppose -2*m = -t*m + 92. Is m a prime number? True Suppose -5*u - q + 3 = -0*q, -3*u - q + 3 = 0. Suppose u*b = 3*b + 15, 0 = 2*z + 5*b - 553. Is z composite? True Let s = -1716 + 2956. Suppose -3*y + y + s = 0. Suppose 5*x - y = -3*w, x = 4*w - 801 - 64. Is w prime? False Suppose 0 = 5*w - 0*w + 3*f + 15, 5*w - 4*f - 20 = 0. Suppose 3*s - 33 - 1494 = w. Is s prime? True Let p be (-18)/(-8) - 1/4. Suppose -5*s = 3*n - 0*s - 1066, 3*n + p*s - 1051 = 0. Suppose 0 = -3*f + o + n - 6, 16 = 4*o. Is f prime? False Is (-3)/(-8 - (-386450)/48310) a prime number? True Let k = 425 - 108. Suppose y - k + 58 = 0. Is y composite? True Suppose 5*m + 4*i = 29, -2*m + 2*i + 6 = -2*i. Suppose 820 = m*y - 345. Let p = 700 - y. Is p a prime number? True Suppose 0 = -3*d - 9, 2*d + d + 49 = 4*t. Suppose 11*z - t*z = 5. Suppose 378 + 1687 = z*q. Is q prime? False Let v be -12 + 44 + -1 + 0. Let l = v - -50. Let a = -10 + l. Is a prime? True Let k(t) = -1746*t - 269. Is k(-5) a prime number? True Let k(i) be the second derivative of -i**4/12 + 4*i**3/3 - 5*i**2 + 3*i. Let t be k(6). Suppose -2*n - t*z + 243 = 3*n, z + 50 = n. Is n a prime number? False Let n = -1780 - -7007. Is n a prime number? True Suppose -5*y = 3*i - 30, 4*i - 5*y - 7 + 2 = 0. Suppose 2*x = -3*m + 186, 3*x = -i*m + 4*m + 279. Is x composite? True Let j(v) = -3*v**3 + 3*v**2 - 2*v + 1. Let c be j(2). Let s = c + 20. Suppose 7 = -s*x + 77. Is x a prime number? False Let p = 35 + -33. Is 4*p*131/8 prime? True Let i(r) = -r**3 + r + 1. Let g be i(-1). Is ((-9)/(-36))/(g/152*2) composite? False Let u(j) = -5391*j + 353. Is u(-6) prime? False Suppose 0 = -2*u + 24*u - 169774. Is u prime? True Is (2 - (-11)/(-5)) + (-226236)/(-255) a prime number? True Suppose 5*r - 3*m = 21853, -m - 17508 = -4*r - 5*m. Is r composite? False Suppose -3*g + 4*t + 49 = 6, -5*g = t - 64. Suppose g = 3*a + 4, 3*j = -5*a + 348. Is j prime? False Suppose -3638 = -12*a + 58126. Is a a composite number? False Let l(t) = -3*t**3 + 6*t**2 + 5*t - 3. Let y be l(-5). Suppose y = 2*z - 561. Is z prime? False Suppose -3*b - 1729 + 7300 = 0. Is b a prime number? False Suppose 125*f - 24636 = 121*f. Is f a composite number? True Let y = 4 - -1. Is (1042/(-4))/(-1*y/10) composite? False Suppose 0 = -15*s + 155 + 14980. Is s composite? False Suppose 5*x = z + 3*x - 7005, 6999 = z + 4*x. Is z a prime number? False Let y be (632/(6/3))/2. Suppose 0*a = -3*a + 21. Suppose a*v + y = 9*v. Is v composite? False Let q be 9/(-6) - (129/(-6) + 0). Is -2*382*(-15)/q composite? True Let j(n) = 29*n**3 + n**2 + 9*n + 4. Let p be j(8). Suppose p = 3*y + 639. Is y composite? False Let v(w) = -w**2 + w + 161. Let n be ((-26)/(-2))/(12/(-12)). Let t = n - -13. Is v(t) a prime number? False Suppose -3*s = 29 - 281. Let d = 127 - s. Is d a composite number? False Let f(h) = -8*h**3 + 5*h**2 - 5*h + 1. Let o be f(5). Let y = -456 - o. Is y a prime number? True Let m(u) = 29*u**2 - 15*u + 41. Is m(22) composite? True Let k = 5758 - 3255. Suppose 40*l = 39*l + k. Is l a prime number? True Suppose -58*l + 22689 = -46157. Is l a prime number? True Suppose -4*r - 4*t = -13552, -3*r + 11115 = t + 955. Is r prime? False Suppose 0 = -4*o - a - 0*a + 3903, -10 = 2*a. Is o a composite number? False Let t(n) = -n**2 - 2*n - 7. Let p be t(0). Let d = -5 - p. Let i(u) = u**3 + u**2 - 3. Is i(d) prime? False Suppose -5*a - 3*h = -18, -4*a + 5*h - 2*h = -9. Suppose 832 = 4*z + 2*k - 346, a*z + 2*k - 881 = 0. Suppose v - 568 = z. Is v prime? False Suppose -5*f = -66 + 6. Let b be 2/(-8) - (-3)/f. Suppose b = -5*i + 131 + 64. Is i a prime number? False Let t = 82 - 170. Let c = -35 - t. Is c a composite number? False Is ((243441/(-36))/(-11))/(2/8) composite? False Let t(d) = -4*d**3 - 3*d**2 - 2*d + 1. Let l be t(-3). Let q be 1472/11 - 2/(-11). Let h = q - l. Is h prime? False Is 12/9 + 581064/36 + -1 a composite number? False Let s be 6/(-15) + (-5571)/(-15). Suppose -5*c + s = -374. Is c a composite number? False Let c(l) = l**3 + 7*l**2 - l - 4. Let r be c(-7). Let p be 0/((-7 + r)/(-2)). Suppose x + 0*x - 57 = p. Is x a composite number? True Let n(z) = -6*z + 15. Let a be n(4). Is (1642/3)/((-6)/a) a prime number? True Suppose 0*w + 2*w - 2 = 0. Let m be (-1)/(w/(30/3)). Let d(p) = 5*p**2 - 13. Is d(m) a prime number? True Let x(t) = 11090*t - 9. Is x(1) composite? True Suppose -2*s - 8 = -10*s. Let n(q) = 1144*q**3 - 1. Let b be n(s). Let k = b - 496. Is k prime? True Is ((-587040)/(-36) - 2/(-6)) + 2 composite? True Let y = 163 + 1398. Is y a composite number? True Let w = 15 + -18. Is ((-1)/w)/(6 + (-7001)/1167) composite? False Let t(f)
{ "pile_set_name": "DM Mathematics" }