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lculate (-4 - (-4 - 6)) + 4 + 4. 14 Evaluate -13 + (4 - 21) - -36. 6 What is the value of 4 + -3 - (-6 - -1) - (48 - 45)? 3 What is -23 + (0 - -45) + 15? 37 Calculate (14 - 7) + (6 - -1 - 3). 11 Calculate (-19 - (6 + 12 - 25)) + (2 - 1). -11 Evaluate 6 + (4 - 23) - (-2 - -5). -16 What is the value of (-44 - -53) + (1 - 11) + -12? -13 What is 10 + (13 - (-3 - -4) - 12)? 10 Evaluate 2 + -53 + 54 + (24 - 4). 23 What is the value of (26 - 57 - -18) + 9? -4 What is -15 + -10 - (6 - 28)? -3 Evaluate -26 - (7 + -23 + (-4 - -4)). -10 Evaluate -10 + -4 + (5 - (-6 + (4 - -1))). -8 What is the value of 4 + (-3 - 1) + (-1 - (-13 + 1))? 11 What is 32 - 1 - (6 - 2 - (82 - 86))? 23 What is the value of 12 + (2 - (12 - -1)) + -3? -2 What is the value of (-10 - 2) + (95 - 90)? -7 Evaluate (0 - -17) + (-18 - (54 + -17)). -38 Evaluate (7 - 31) + -28 + 47. -5 -83 + 86 + (-11 + 7 - 3) -4 Evaluate -20 + 9 - (-7 - 5). 1 Calculate -9 + 0 + (512 - 513). -10 (28 + -12 - 6) + -31 -21 Evaluate -43 + 54 + -31 + 46. 26 Evaluate 4 + (20 - 32) + -20. -28 Evaluate -10 - -4 - 7 - (0 - -3) - -4. -12 Evaluate (12 - (-17 - -29) - (2 + -1)) + -5. -6 What is 4 + 17 + -13 - (7 - -18)? -17 3 - (0 + (-25 - -9)) 19 (6 + -7 - 3) + 0 + -2 + 1 -5 Calculate -4 + 11 + 1 + -3. 5 Calculate -17 + (-1 - (1 - (19 + -9))). -9 What is the value of -3 - 0 - (-4 - (-10 - 1 - -11))? 1 What is the value of 64 + -60 - (2 + -2 + 1)? 3 What is the value of -598 - -594 - (10 + -2 - -2)? -14 Calculate (2 - (3 + (28 - -1))) + (-160 - -163). -27 What is (70 - 69) + -8 + 30? 23 What is the value of (-3 + 10 - 23 - -7) + 16 + -15? -8 Evaluate 5 + (3 - (-2 + (-4 - -4)) - 8). 2 What is the value of (-7 - -14) + 28 + -21? 14 What is the value of 0 - (-26 + -14 - -17 - (-6 + 1))? 18 What is -31 + (-3 - -1) + (-10 - -15) + -13? -41 Calculate -3 - (41 - 15) - -51. 22 Calculate (-1 - (-17 - -10)) + 8 - 0. 14 What is the value of (23 - 14 - 3) + (-4 - (-3 - 9))? 14 23 - (28 - -8) - -13 0 What is the value of 9 - -16 - 4 - 8? 13 -4 - (5 - (-5 + -2 + (-2 - -7))) -11 Evaluate 13 - (-14 - (12 + -16)). 23 What is 11 + (-19 - -7) + -17 - -11? -7 -11 + (53 - 16) + -46 -20 What is 55 + -21 - 12 - 33? -11 Evaluate -9 - -12 - (-6 + (5 - 4) + 12). -4 Evaluate 64 - 103 - (-17 + -4). -18 Calculate -14 - -10 - (5 + -20). 11 -501 + 491 - (-33 - 1) 24 Calculate 1 + -1 - (-19 + (-15 - -17) + 29). -12 What is (-70 - (-13 + -24)) + 12? -21 What is the value of -8 + 12 + 37 - 23? 18 What is the value of -3 + 7 - -15 - (6 + (3 - 10))? 20 Calculate (-8 - -20) + 1 + (-19 - -20). 14 What is the value of (-5 - (10 - 28)) + -7 + -4 + 0? 2 Evaluate 7 - (-11 + 10 + 8) - (1 - -2). -3 What is 16 - (20 - 9) - (1 + 6 + -3)? 1 Calculate 1 - (9 - (8 - -7) - 7). 14 Evaluate -20 + 24 - (-46 + 25). 25 Calculate (4 - -2) + 5 + -7 + 10. 14 -15 - (-38 + 31 - 17) 9 Calculate (-7 - (9 + -5 + 4)) + 6. -9 Calculate 17 + -18 + 9 - (1 + 0 + -9). 16 Evaluate 1 + -3 - (24 + (23 - 49)). 0 -14 + 2 - (186 + -201) 3 5 + -22 - -20 - (-3 + -1) 7 Evaluate 14 + 13 + (-11 + -4 - -4). 16 What is -113 - -126 - (1 + 15)? -3 Evaluate -18 - (-6 - (2 + (-1 - (0 + 2)))). -13 What is the value of 4 - (2 - -2 - (-18 - -14)) - 8? -12 What is (-4 - 17) + -372 + 364? -29 -3 + 9 + 217 + -204 19 (-123 - -125) + -4 + 1 -1 Evaluate (1 - 5) + (-4 - -21) + 3. 16 Calculate -49 - (20 + -19 - 25). -25 -2 + 3 - (-49 + 38) 12 What is the value of -30 - 44 - (-61 - -24)? -37 Calculate (-10 - 2) + (14 - 6). -4 Evaluate (0 - 6 - (11 + -24)) + 1 + 7. 15 Calculate 27 - (11 - (-19 - -23)). 20 Calculate (6 - (-5 - (-1 - 6))) + 2 - -6. 12 What is 7 + 11 + -13 - (3 - (-3 - 0))? -1 What is the value of -9 - ((38 - -2) + -38)? -11 Evaluate 4 + -3 - (-42 - -51) - 6. -14 Evaluate -28 + (-13 - (12 - 29)). -24 Calculate -20 + 12 + 17 - (-10 - 2). 21 What is 4 - (-7 - (2 + 0))? 13 Evaluate -1 + -1 - -8 - (-1 + 6 - -16). -15 Calculate (2 - -8) + (0 - (6 + -6)). 10 Calculate -8 + 9 + (0 - (-4 - -5)). 0 What is the value of (5 - 33) + 9 + 4 + -7 + -3? -25 -16 + (12 + 0 + -9 - -4) -9 What is -14 + (-3 - 0) + -1 + (-130 - -137)? -11 What is 22 - 28 - (-23 + 2)? 15 What is the value of 5 - (8 + -4) - (44 - 37)? -6 What is the value of -6 - (-6 + 3) - (48 - 66)? 15 -3 + 8 + 393 + -376 22 Calculate -8 - (7 - (3 + (6 - 6) - 5)). -17 What is the value of -6 + 0 + 369 + -331? 32 What is the value of 25 - 18 - (30 + (-2 - (-9 - -2)))? -28 Calculate 0 + 6 + 17 + -18 - (-3 - 2). 10 What is -1 - 28 - (-36 + 9)? -2 Calculate 27 + (-1 - 5) + (1 - 8). 14 What is (-6 - -11 - 19) + (-4 - 8) + 7? -19 What is the value of -7 - (1 + 4 + -26 + 13)? 1 -1 - -1 - (-17 + 6 + 0) 11 Calculate (-3 - (-11 - 11)) + -16. 3 What is the value of -27 + 71 + -24 + 3? 23 What is 13 + -5 + (-1 - 8) + -7? -8 Evaluate -18 - 1 - (14 - 0 - (78 - 56)). -11 What is -24 - -8 - (48 + -43)? -21 Calculate -917 + 923 + (-2 - (9 - -1)). -6 Calculate 5 - (7 - -1 - -2) - -7. 2 41 + -44 - (-1 - -8) - -5 - -18 13 -12 + (-8 - -41 - 17) + 5 9 Evaluate -11 + (-4 - 8 - -8) + 5. -10 Calculate 27 + 5 + -38 + 0 + -1. -7 What is -7 + (2 - (-7 - -6 - -4)) + 5? -3 Calculate -17 - (12 - 9) - -9. -11 (-17 - 29) + -7 - -29 -24 Evaluate -47 - -54 - (1 + 7) - 7. -8 Calculate 2 + (-7 - -11 - 10) + 14. 10 What is the value of (2 - 0) + (17 - 26) + 15? 8 Calculate 35 - (85 + -21) - -1. -28 What is 2 + (8 + -2 - (10 + -9))? 7 What is the value of 12 + 1 + (-207 - -202)? 8 What is 54 - 71 - (16 + -50)? 17 What is -21 - (12 - (81 + -27))? 21 1 + (-6 + 8 + -21 - -4 - 3) -17 Calculate 21 + -32 + 12 + -31. -30 What is the value of -1 + -14 + 23 + -8 + -7 + 1? -6 Calculate (2 - ((2 - 0) + 1)) + (-8 - -2). -7 What is -2 + (-4 - -20) - 15 - -27? 26 Calculate -4 + -1 + 14 + (8 - 2 - 6). 9 Evaluate -3 + 3 + 6 - (72 + -73). 7 30 + -43 - (2 - (5 + -3)) -13 What is the value of -8 + (25 - 25) + (1 - -6)? -1 What is 12 + -12 + 1 - (-4 - -2)? 3 What is the value of (-75 - (16 + -39)) + 29? -23 17 + -9 - 1 - (-3 + (-6 - -3)) 13 What is the value of 2 + 5 - (20 - -7 - 4) - 0? -16 What is the value of (23 - (-18 - 0)) + -37? 4 Calculate (6 + -2 - 11) + (18 - 15). -4 Calculate (-92 - -85) + (-17 - -3). -21 Evaluate (3 + -12 - -3) + 9. 3 What is the value of (37 - 8) + -2 - -3 - (-15 + 23)? 22 Evaluate -24 - (24 - 13 - 20). -15 Calculate -9 + (6 - (-8 + 1 - (15 + -27))). -8 4 + -1 + (7 - 1) + (13 - 7) 15 Calculate 1 + 4 + (-37 - -35). 3 Evaluate (-5 - (0 - 2)) + (-233 - -232) - -22. 18 Calculate 14 + (15 - -6 - 52). -17 Calculate 3 - (-12 + 13) - 1. 1 Evaluate (32 - 37 - (0 + -2 + -5)) + -7. -5 6 - (-11 + 11 + 3) 3 5 + -10 - -12 - 1 6 What is (-27 + 28 - -11) + -1? 11 What is the value of -3 + (-3 + (-2 - 5) - -2)? -11 What is the value of -22 - -14 - (-11 + -8)? 11 Calculate 25 + 9 - (3 + (0 - (-5 - 1))). 25 What is 1 - (5 - 4) - -10 - -9? 19 4 - ((-4 + 1 - (-31 - -7)) + 0) -17 What is 21 + -1 + (-53 + 73 - 51)? -11 What is (-20 - (-17 + 35)) + 12 + 2? -24 What is -14 + 22 + -5 + 1 + (1 - -3)? 8 Calculate -4 + 0 + (-9 - -4) + -3. -12 What is the value of -5 - (1 + -2 + 17 + -144 + 137)? -14 What is (11 - (29 + -9)) + -2 + 0 + -2? -13 What is the value of 0 + 1 - ((13 - (-4 + 5)) + -4)? -7 What is the value of 0 - (-12 + 11 - -7 - 30) - -2? 26 What is the value of -170 - -160 - (-4 - (-6 - 4))? -16 8 - (-31 + 15) - 25 -1 Evaluate (5 - (-12 - -8)) + 9 - 23. -5 Evaluate -15 + (84 + -27 - 33). 9 What is the value of (4 - 2) + 2 - (236 + -220)? -12 What is -12 + -5 + (6 - 1) + -6? -18 What is the value of (-2 - -12) + -10 - (2 + 2 - 4)? 0 -670 + 671 - (1 - (0 + 1 - 0)) 1 27 - (-28 + 7 - -59) -11 10 - (-5 - (-21 - 3)) -9 -22 - (-24 - -7) - (2 - (-14 + 1)) -20 Evaluate -30 + -3 + 18 + 10 + -7. -12 What is -68 + 78 + (-3 - -1)? 8 Evaluate (-97 - -86) + 6 + -6 + 37. 26 What is the value of -14 - (2 - 9) - -6? -1 What is 54 + -42 - (-1 - -14)? -1 Evaluate 249 + -257 + (-4 - 1 - 0). -13 11 + -7 + -5 - (9 + 0 + 1) -11 What is -8 + 7 - (-18 - -43)? -26 -1 + (-1 + 3 - (-12 - (-21 + 14))) 6 -7 - (-9 - (-12 + 6)) -4 What is the value of -3 + 8 - (5 + -1 + -13 - -35)? -21 What is 9 + (18 - 4) + -9 + (8 - 6)? 16 Evaluate 1 + (-3 - 13) + 18. 3 (13 - (6 - 2)) + -11 + 19 17 What is 19 + 0 - (10 - (6 - 5))? 10 What is 6 - (9 + 1 + 4 + (-4 - -1))? -5 Evaluate 7 - (-1 + (-17 - -10)). 15 Calculate 12 + -16 - -40 - 19. 17 Wh
{ "pile_set_name": "DM Mathematics" }
- 9. Calculate the least common multiple of ((-5)/(-4))/((-9)/(-36)) and t. 10 Suppose 2 = -3*a - 7. Let p be 2*-1*(4 - a). Calculate the common denominator of 2/(-4) - 72/p and -73/2. 14 Let d = -34 + 36. What is the least common multiple of d and 22? 22 Suppose 7*b = 4*b + r - 13, 2*b = 4*r - 22. Let l = b - -15. What is the lowest common multiple of l and 20? 60 Let c be ((-4)/6)/((-4)/(-6)). Let p be (-2759)/((c - -2)*-2). Let b = 15130/11 - p. Calculate the common denominator of -107/18 and b. 198 Let l = 95703/16 + -5987. Calculate the common denominator of 3 - 28/(-40)*-17 and l. 80 Let z be (-1)/2*(-6)/(-30)*0. Let d(f) be the third derivative of -f**4/24 + 11*f**3/3 + f**2. Calculate the smallest common multiple of 10 and d(z). 110 Let i = -4 - -5. Let b = i + 49. Suppose b = 5*s - 0*s. Calculate the smallest common multiple of 9 and s. 90 Suppose -5*x - 22 + 72 = 0. Let a(s) = -s**2 + 4*s + 3. Let o be a(5). What is the least common multiple of x and ((-1)/o)/(3/24)? 20 What is the lowest common multiple of 3 and (14/21)/((-3)/(-36))? 24 Let o = 424480/11 + -38540. Let b = -4089/88 + o. Find the common denominator of b and 115/6. 24 Suppose g + 1 = 5*q - 3*q, 0 = -2*g + 3*q. What is the smallest common multiple of 6 + (-1 - -3) + 0 and g? 24 Suppose 0 = -5*f - n - 29, 0 = 4*f - 4*n - n. Let m(g) = -3*g**2 + 7. Let u be m(f). Find the common denominator of (u/(-72))/((-2)/(-6)) and 13/12. 12 Let i be 6/(-5) + (-24)/30. Find the common denominator of (-39)/18*5 - i and 103/6. 6 Let o(r) be the second derivative of r**3/6 + 13*r**2/2 + 3*r. Let x be o(-10). Suppose -x*f + 4 = -2*f. Calculate the lowest common multiple of f and 10. 20 Let p be 2/5 - (-108562)/(-80). Let r = 1361 + p. Calculate the common denominator of r and ((-8)/(-3))/4 - (-106)/(-96). 16 Suppose 0 = 10*w - 16*w + 126. Calculate the smallest common multiple of 18 and w. 126 Calculate the least common multiple of 6 + (3 - 0) + 0 and 6. 18 Let c be ((-1138)/4)/(11*4). Let b = -13/22 - c. Find the common denominator of b and 29/4. 8 Let w = 63 + -29. Let l = w - 16. What is the least common multiple of 2 and l? 18 Let w = 379/328 + 50/41. What is the common denominator of 63/10 and w? 40 Let s = 1/1927 - -159939/3854. Calculate the common denominator of s and (6/15)/(9/125). 18 Find the common denominator of 143/18 and 42/63*(-194)/24. 18 Suppose 15 = 3*p + 12. Calculate the least common multiple of p and 2. 2 Let o = -2 + 5. Suppose 2*r - 4*t + 14 = 0, 3*r = 5*r - o*t + 9. Suppose -4*u = -0*u - 44. Calculate the lowest common multiple of r and u. 33 Let w = 18578/9 + -2062. Let i be -1 - (1 + 46521/(-2868)). Let a = i - -7/239. Find the common denominator of w and a. 36 Let m be (45/25)/((-3)/(-10)). Suppose 4*j + m = -z, 7 + 1 = -2*j. Calculate the smallest common multiple of z and 18. 90 Let y be ((-2)/25)/((-129)/5). Let g = y + -8401/5160. Calculate the common denominator of (-9)/45*(-1270)/(-24) and g. 24 Let r = 0 - -2. Suppose 3*c + 9 = -3*g, g = -4*c - r*g - 11. Calculate the common denominator of 83/8 and c + (72/33)/3. 88 Let w be (-3 + 8 - 3) + 0. Suppose -w*u = -4*u + 2. Let k(q) = 2*q**3 - q**2 + q. What is the least common multiple of k(u) and 18? 18 Let t(n) = -18*n - 2. Let f be t(-2). Let v = -18 + f. Calculate the least common multiple of v and 8. 16 Let y = 1425/8 + -4879/24. Let s be 2591*((-16)/(-20) - 1). Let u = -10799/20 - s. Find the common denominator of y and u. 12 Let b(c) = -c**3 - 13*c**2 + 5. Suppose -5*l + 49 = -m + 2*m, 5*l + 3*m = 57. What is the lowest common multiple of l and b(-13)? 45 Suppose 2*g + g + 2*f = 1, -4*f = 2*g + 10. Find the common denominator of ((-6)/(-9))/(28/183) and 26/(-132) + 1/g. 154 Let t = 1/9541 + 1211695/114492. Let j = -907 - -520. Calculate the common denominator of t and ((-1)/(-3))/(24/j). 24 Let b = 199/2 + -275/3. Calculate the common denominator of -65/18 and b. 18 Let c = 54 - 38. What is the least common multiple of c and 20? 80 Let j = 1245 - 8657/7. Find the common denominator of j and 33/10. 70 Let p = -13 - -23. Suppose 13 - 3 = 5*d. Let r = p - d. Calculate the least common multiple of r and 12. 24 Let j = -544/5 - -108. Find the common denominator of j and -15/2. 10 Suppose -10 = -3*t + 8. What is the common denominator of t/(-18) - 86/(-96) and ((-1)/5)/(18/1005)? 48 Suppose -3*n = -7*n + 8. What is the least common multiple of n - -12 - (1 - -2) and 8? 88 Suppose 3*r - 7 = -2*o, 2*o - r - 40 = -13. Suppose 5*u + 9 = -6. Let a = u - -6. Calculate the smallest common multiple of a and o. 33 Suppose 3*l = 0, 0*g = g + 4*l - 47. Let r = -33 + g. What is the common denominator of 93/20 and 390/(-126)*r/(-4)? 60 Let o be 10/10 + (-520306)/(-24). Let t = -21668 + o. What is the common denominator of 95/6 and t? 12 Let z be 25/7 + 36/(-63). Suppose -15 = z*p - 6*p. What is the least common multiple of 10 and p? 10 Let j(q) = 6*q - 17. What is the common denominator of j(-5) and 5/6? 6 Let u = 308045/22 + -14006. What is the common denominator of u and 17/4? 44 Suppose -4*d = -o + 3*o + 110, -5*o - 5 = d. Find the common denominator of (86/d)/(2/(-3)) and -28. 10 Let v(b) = b + 15. What is the least common multiple of 4 and v(-9)? 12 Let v = 133/2 + -55. What is the common denominator of 2/((-291)/(-59) - 5) and v? 2 Let t(k) = -k**3 - 4*k**2 - 3*k + 2. Let o(y) = -y**2 - 4*y - 3. Let n be o(-4). Calculate the smallest common multiple of t(n) and 3. 6 Let s = 6676 + -2773. Let x = s - 85843/22. Find the common denominator of -119/20 and x. 220 Suppose 10 = -5*x - 0*x. Let k = x - -2. Suppose k*z + 3*z + 12 = 4*a, 4*z = 0. Calculate the smallest common multiple of 9 and a. 9 Let u be (-6)/(-1 - 2) + -14. Calculate the least common multiple of (u/(-5))/((-2)/(-15)) and 6. 18 Let i = -44 + 54. What is the least common multiple of 18 and i? 90 Let m be (-1810)/(-908) - (0 - -2). Let s = -7031/908 + m. What is the common denominator of 13/3 and s? 12 Let z = -249 + 3975/16. Calculate the common denominator of 54/28 - (-12)/4*-1 and z. 112 Let w = 215 + -829/4. Find the common denominator of w and 0 - (28/3 - -1). 12 Let i be (-1)/(-2 - 93/(-48)). Suppose 3*x - i = 7*x - 3*w, 3*x - 1 = -w. Calculate the least common multiple of 3 + (x - -2) + 5 and 8. 72 Let n be (3/((-3)/547))/(-1). Let i = 1621/3 - n. Find the common denominator of i and 49/(-12) - 1/4. 3 Let q(w) = w**3 - 6*w**2 - 7*w + 8. Suppose -14 = 4*r - 38. Let u = 13 - r. Calculate the smallest common multiple of q(u) and 22. 88 Let p = -21371/20 - -1069. Let j = -99/20 + p. Calculate the common denominator of -31/18 and j. 18 Let g be 19/9*3*-3. Let f = g - 26. What is the common denominator of -71/10 and f/(-7) - (-2 - -3)? 70 Suppose -5*t + 47 = 2*n - 0*t, 3*t = 4*n - 55. What is the lowest common multiple of n and 22? 176 What is the common denominator of -4 - -9 - 320/84 and -71/9? 63 Let d = 37088215/3982 + 73100/1991. Let c = -9353 + d. Find the common denominator of c and -143/18. 198 Let r = -12/1115 + -74537/15610. Let s be ((-3)/(-6))/(3/36). What is the common denominator of r and (230/36)/((-2)/s)? 42 Calculate the common denominator of (-34)/84 + (-2)/(-6) and (-28)/(-5)*75/(-54). 126 Let c = 11 + 11. Calculate the least common multiple of c and 18. 198 What is the smallest common multiple of 10 and (-1)/3 - ((-65)/15 + 2)? 10 Calculate the common denominator of -62/9 and 0 - 1/((-12)/(-118)). 18 Suppose -4 = 4*m + 4. Let u be m/(-10) - 9485/(-200). Let t = 47 - u. Calculate the common denominator of -151/6 and t. 24 Let o = -28 + 22. What is the common denominator of (-8)/(-12) - (-53)/o and 121/10? 30 Let x = 48 + -21. Calculate the least common multiple of 27 and x. 27 Let m = 4 - 4. Suppose m*s - 22 = -s. What is the smallest common multiple of s and (8 + -2)*11/3? 22 Suppose 0 = -5*i - 0*i + 60. Suppose -k = -i - 10. What is the lowest common multiple of 8 and k? 88 Let f be (-2 - -1)*3 - 5. Let u = f + 17. What is the smallest common multiple of 7 and u? 63 Let u be 4/(-10)*(-8 - 2). Let g = 4 - 6. Let z = g + u. What is the lowest common multiple of 8 and z? 8 Let v = -360/332573 + 129017379461/6984033. Let i = v - 18477. Calculate the common denominator of 39/10 and i. 210 Let k = -6067 - -36293/6. Find the common denomi
{ "pile_set_name": "DM Mathematics" }
6. Let p(n) = -7*n - 5. Let y(x) = 163*x**2 + 2283*x + 8. Let a be y(-14). Give a*l(c) - 7*p(c). 13*c - 1 Let p(o) = 19*o - 72. Let s(m) = 2*m. Give 2*p(h) - 18*s(h). 2*h - 144 Let g(n) be the third derivative of n**4/24 - 4*n**2. Let c be (0 + 9)/(-113 + 110). Let h(d) = -2*d**3 - d**2 + 5*d. Calculate c*g(y) + h(y). -2*y**3 - y**2 + 2*y Let y = 5473 - 5480. Let g(c) = -3*c + 29. Let x(a) = -2*a + 19. Give y*x(i) + 5*g(i). -i + 12 Let b(i) = -729*i**2 + 10*i + 29. Let z(n) = 1458*n**2 - 18*n - 53. Give 11*b(a) + 6*z(a). 729*a**2 + 2*a + 1 Suppose c + 8 = 5*c. Suppose 0 = 3*k - 22 - c. Let r(h) = -5*h - 14. Let x(n) = 5*n - 5 - 12*n + 5*n. Calculate k*x(p) - 3*r(p). -p + 2 Let x(w) = w. Let j(u) = -2 + 18715*u + 1 - 9358*u - 9356*u. Calculate 4*j(l) - 3*x(l). l - 4 Let m = 108 - 97. Suppose 28*w - 73 = 39. Let c(r) = 6*r**2 + 3*r - 4. Let s(g) = -17*g**2 - 8*g + 11. What is m*c(v) + w*s(v)? -2*v**2 + v Let w(s) = -1. Let l(j) = 2*j. Let b(u) = -2*u**3 + 89*u**2 - 798*u - 59. Let p be b(32). Give p*w(i) + l(i). 2*i - 5 Let f(g) be the third derivative of -3/20*g**5 + 26*g**2 + 0*g - 5/24*g**4 - 1/2*g**3 + 0. Let p(c) = -26*c**2 - 14*c - 8. Give 14*f(v) - 5*p(v). 4*v**2 - 2 Let b(g) = -3*g**2 - 6*g - 4. Suppose 1045 = 90*m + 5*m. Let h(s) = 8*s**2 + 17*s + 11. Give m*b(z) + 4*h(z). -z**2 + 2*z Let h(m) = -813371*m + 5624. Let n(w) = -1446*w + 10. Determine -5*h(a) + 2812*n(a). 703*a Let s(k) = -9*k + 1. Let n(z) = 644*z - 7730. Let g be n(12). Let i(p) = 9*p - 2. What is g*i(f) - 3*s(f)? 9*f + 1 Let m(d) = 3*d + 21. Let q(l) = -40*l - 295. Let w(k) = -55*m(k) - 4*q(k). Let o(v) = -10*v - 8. Let s be o(-1). Let j(r) = -r + 6. Calculate s*w(z) - 9*j(z). -z - 4 Let j(i) = 3*i - 6. Suppose -1905 = -20*g + 1355. Let h = g - 159. Let a(u) = -2*u + 6. What is h*j(x) + 5*a(x)? 2*x + 6 Let p(j) = j**2 - 3*j - 5. Suppose -5*a = -2*k + 25 + 2, -3*k + 3 = 5*a. Let f(g) = -g**2 + 2*g + 4. Give a*f(o) - 2*p(o). o**2 - 2 Let y(r) = -r**2 + 7*r + 8. Let l(o) = -3*o**2 + 9*o + 10. Determine 3*l(u) - 4*y(u). -5*u**2 - u - 2 Let b = 25709 - 25720. Let t(c) = c + 9. Let l(n) = 2. Give b*l(w) + 2*t(w). 2*w - 4 Let d(t) = 14*t + 9. Let f(v) = 7*v + 4. Let x(u) = u**3 - 21*u**2 - 19*u - 61. Let q be x(22). Suppose -q*y = 3*y - 72. What is y*f(n) - 4*d(n)? 7*n Let b(g) = -2*g**2 + 6*g - 9. Let p(o) = -4*o**2 + 993 + 2*o**2 - 387 - 614 + 5*o. What is -3*b(t) + 4*p(t)? -2*t**2 + 2*t - 5 Let f(a) = 40*a**2 + 3*a. Let t(b) = -85*b**2 - 17*b + 6. Let h(d) = d**2 + 2*d - 1. Let w(c) = -6*h(c) - t(c). Determine -5*f(m) + 3*w(m). 37*m**2 Let w(c) = 11*c**2 - 715*c + 6. Let x(a) = 9*a**2 - 715*a + 5. What is -5*w(p) + 6*x(p)? -p**2 - 715*p Let v(h) = 38*h**3 + 485*h**2 - 7. Let k(c) = 12*c**3 + 162*c**2 - 2. What is -7*k(o) + 2*v(o)? -8*o**3 - 164*o**2 Let l(x) be the third derivative of -3/8*x**4 - 12*x**2 + 2/3*x**3 + 0*x - 2. Let b(p) = -18*p + 9. Determine 6*b(a) - 13*l(a). 9*a + 2 Let o(v) = -7*v - 321*v**3 + 4*v**2 + 648*v**3 - 5 - 3*v**2 - 3*v**2 - 326*v**3. Let y(z) = z**3 - 2*z**2 - 8*z - 6. Calculate -6*o(a) + 5*y(a). -a**3 + 2*a**2 + 2*a Let n(f) = -4941*f**3 - 610*f**2 + 305*f + 915. Let x(i) = 65*i**3 + 8*i**2 - 4*i - 12. Give -4*n(r) - 305*x(r). -61*r**3 Let b(k) = -5*k**3 + 6*k - 6. Let u = 23532 - 23545. Let x(q) = 11*q**3 - 13*q + 11. Determine u*b(l) - 6*x(l). -l**3 + 12 Let q(f) = -5*f**3 - 11*f**2 + 2*f + 11. Let r(d) = 3*d**3 + 6*d**2 - d - 6. Let s = 4803 - 4797. What is s*q(l) + 11*r(l)? 3*l**3 + l Let c(h) = -6*h + 1. Let m(y) = 22*y + 408. What is 4*c(r) + m(r)? -2*r + 412 Let i(g) = -91*g + 4783. Let h(z) = 16*z - 797. Calculate 34*h(w) + 6*i(w). -2*w + 1600 Let a(z) = -154*z**3 - 8*z**2 + 152*z - 8. Let j(o) = 51*o**3 + 3*o**2 - 52*o + 3. Calculate -3*a(q) - 8*j(q). 54*q**3 - 40*q Let o(v) = -v - 9. Let p(s) be the third derivative of s**4/12 + 19*s**3/6 - 3*s**2. Let u = 102922 + -102918. Determine u*p(i) + 9*o(i). -i - 5 Let t(d) = 302*d - 2115. Let f be t(7). Let k(h) = h - 1. Let s(i) = -2 + 0 - 7 + 3. What is f*k(p) + s(p)? -p - 5 Let g(v) = -3*v - 4. Let x(a) = 8*a + 7. Let r(o) = -11*g(o) - 6*x(o). Let k(c) = 8*c - 1. Give 11*k(u) + 6*r(u). -2*u + 1 Let d(h) = -2833*h**3 + 6*h**2 + 25*h. Let v(p) = 1888*p**3 - 4*p**2 - 18*p. Determine -5*d(b) - 7*v(b). 949*b**3 - 2*b**2 + b Let j(x) = 1194*x**3 - 11*x + 14. Let q(w) = 400*w**3 - 4*w + 5. Give -4*j(b) + 11*q(b). -376*b**3 - 1 Suppose 0 = d + 4*d - 15. Let h(a) = -a + a**3 - a + a**2 + d*a. Let u(l) = 25*l**2 - l - 22*l**2 + 12*l - 7*l + 4*l**3 - 2. Calculate 3*h(b) - u(b). -b**3 - b + 2 Let s(d) = -50*d - 16. Let c(u) be the first derivative of -17*u**2/2 - 5*u + 1065. Calculate 16*c(y) - 5*s(y). -22*y Suppose -5*u = 9*u + 42. Let x(g) be the third derivative of -g**5/15 + 3*g**4/8 - g**3/2 - 3*g**2. Let p(t) = 2*t**2 - 5*t + 2. Give u*x(y) - 5*p(y). 2*y**2 - 2*y - 1 Let j(x) = -1188*x + 415. Let m(t) = 1189*t - 333. Calculate 4*j(g) + 5*m(g). 1193*g - 5 Let n(w) = 5*w - 1. Suppose 5 - 8 = -h - 4*r, -4*r + 15 = 5*h. Let g(l) = -49055 + h*l + 49055. Give 7*g(v) - 4*n(v). v + 4 Let x(p) = -23. Let k(n) = 32. Let r(m) = -5*k(m) - 7*x(m). Let a(o) be the third derivative of o**4/24 - o**3/2 + 10*o**2. What is -2*a(l) - 6*r(l)? -2*l Let y be (-6 + 1)*(-12)/(-10). Let s(r) = 2*r**3 + 6*r**2 - 6. Suppose q = -2*t + 15, 3*q - 3*t + 14 + 4 = 0. Let w(g) = -1. Determine q*s(o) + y*w(o). 2*o**3 + 6*o**2 Let v(a) = -20*a**2 - 5. Let p be 5*(-10)/(-25) - (6 + -3 - 3). Let b(j) = -5*j**2 - 1. Calculate p*v(c) - 9*b(c). 5*c**2 - 1 Let z(o) = -214*o - 23. Let u(b) = 224*b + 29. Determine -4*u(c) - 5*z(c). 174*c - 1 Let q(r) = 65*r + 6. Let t(i) = 137*i - 446*i + 141*i - 2 + 146*i. Calculate -4*q(y) - 11*t(y). -18*y - 2 Let r(v) = v + 70. Let p(i) = -i - 3103. Determine p(d) + 2*r(d). d - 2963 Let y(c) = -c**3 + c**2 - c - 1. Let b(u) = 4*u**2 - 4*u - 1 + 465*u**3 - 1 - 4 + 0*u - 464*u**3. Calculate b(h) - 4*y(h). 5*h**3 - 2 Let a = 2721 + -2722. Let b(q) = -2*q - 6. Let l be b(-5). Let g(x) = 5*x - l*x + 0*x. Let c(u) = -u**3 + u. Determine a*c(f) - g(f). f**3 - 2*f Let u(n) = 19*n**2 - 71*n - 121. Let i(g) = 9*g**2 - 31*g - 60. Calculate 9*i(z) - 4*u(z). 5*z**2 + 5*z - 56 Let t(q) = -q**3 - 2*q - 2. Let x(b) = 523 + b + 459 - 979. Determine -3*t(c) - 2*x(c). 3*c**3 + 4*c Let y(v) be the second derivative of v**5/20 + v**2/2 + 12*v - 13. Let a(u) = u**3. Give -6*a(d) + y(d). -5*d**3 + 1 Let b(o) = -o**2 + o - 6. Let s(v) = -5*v**2 + 2*v - 83. Calculate -b(q) + s(q). -4*q**2 + q - 77 Let w(k) = 5*k**2 + 3*k - 1. Let s(u) = -4*u**2 - 10*u + 13. Let t(d) = -d - d - 3 + 8*d - 4*d. Let b(q) = s(q) + 4*t(q). What is 6*b(n) + 4*w(n)? -4*n**2 + 2 Let i(t) = -1. Let g(o) be the second derivative of o**4/12 + o**3/3 - 3*o**2 - 2*o. Let c be 11 + ((-1944)/9)/18. Calculate c*g(v) + 5*i(v). -v**2 - 2*v + 1 Let m(k) be the first derivative of 4*k**2 - 5*k + 10. Let f = 54 - 60. Let n(w) = 7*w - 4. Calculate f*n(j) + 5*m(j). -2*j - 1 Suppose -10*p + 6*p + 5*w + 3 = 0, 4*p + 9*w - 17 = 0. Let y(d) = -16*d + 31. Let m(c) = -3*c + 6. Determine p*y(s) - 11*m(s). s - 4 Let z(x) = 5 + 4*x + 0 - 1. Let f(b) = 4493*b + 4. Let a be f(0). Let l(o) = 2. Calculate a*l(d) - 2*z(d). -8*d Let s(k) = 82*k**3 + 10*k**2 - 109*k + 46. Let q(n) = -31*n**3 - 4*n**2 + 36*n - 15. Determine 8*q(x) + 3*s(x). -2*x**3 - 2*x**2 - 39*x + 18 Let q = 56 + -58. Let t be (q/14)/((-27)/189). Let h(g) = 4*g + 9. Let w(a) = 12*a + 26. Let k(r) = -14*h(r) + 5*w(r). Let o(c) = -1. What is t*k(m) + 5*o(m)? 4*m - 1 Let c = -186 - -300. Let y = c - 69. Let w(g) = 30*g**2 - y*g**2 + 24*g**2. Let x(o) = 3*o**2. What is -6*w(v) + 17*x(v)? -3*v**2 Let l = 3754 - 3764. Let b(h) = -h**3 + 3*h**2 - h - 2. Let a(u) = -2*u**3 + 7*u**2 - 3*u - 5. Calculate l*b(m) + 4*a(m). 2*m**3 - 2*m**2 - 2*m Let g(x) = -23*x + 128. Let w(s) = -24*s + 127. Give -6*g(v) + 5*w(v). 18*v - 133 Let t(f) = -2112*f**2 + 12*f + 4. Let d(p) = 2108*p**2 - 9*p - 3. What is -4*d(y) - 3*t(y)? -2096*y**2 Let s(t) = -5*t - 18. Let f(y) = -y**2 - y + 43. Let x be f(-7). Let n(p) = p + 1. Give x*s(a) + 6*n(a). a - 12 Let a(z) = -5*z**2 + 14*z + 4. Suppose 5*n - 13*q = 81, 12 = 2*n + 75*q - 70*q. Let v(b) = 9*b**2 - 27*b - 7. Calculate n*a(x) + 6*v(x). -x**2 - 8*x + 2 Let i(l) = 202*l + 1819. Let t(u)
{ "pile_set_name": "DM Mathematics" }
c. Let r be z(c). Calculate the highest common divisor of r and 9. 9 Let b = 20 - 11. Let a(w) = -13*w + 7. Let f = 10 + -15. Let r be a(f). What is the highest common divisor of r and b? 9 Let x be 5*(-1 - (-141)/15). Let c be (1 - 1) + 48/8. Calculate the greatest common factor of c and x. 6 Let g = 47 - 29. Let h be (68/(-12))/((-2)/g). Let o(b) = b**2 - b - 8. Let u be o(-6). What is the highest common divisor of h and u? 17 Let n be 5 + -21*(-3)/9. Let d be ((-27)/(-12))/(2/16). Calculate the greatest common factor of n and d. 6 Let w(k) = 3*k**2 + 13*k + 14. Let z be w(-9). Calculate the highest common factor of z and 56. 28 Suppose -2*o = -5*o. Let t = -2 + o. Let c be (t - -1)/(2/(-20)). What is the highest common divisor of c and 5? 5 Suppose -u = -2*u. Suppose u*d = -p - 2*d + 78, -2*d + 218 = 3*p. Calculate the highest common factor of p and 14. 14 Let l = -84 + 156. Let h be (-1 - -2)*56/4. Suppose -5*t + 7 = 32, -t - h = -p. What is the highest common factor of p and l? 9 Let y(v) be the first derivative of 131/3*v**3 + v + 2 + 0*v**2. Let p be y(-1). Calculate the highest common divisor of p and 12. 12 Let p = -30 + 39. Calculate the greatest common divisor of 27 and p. 9 Let w be (-92)/(-28) - 2/7. Let k(v) = v**3 + 9*v**2 + 7*v + 1. Let b be k(-8). Calculate the greatest common divisor of w and b. 3 Let v(s) = s**3 + 4*s**2 + 2. Let u be (3 + -1)*(-9)/6. Let r be v(u). Calculate the highest common factor of r and 121. 11 Suppose -3*v + 1 = -5. Suppose c + 3*f = -0*c, f = -v*c - 15. Let g be ((-32)/(-6))/((-2)/c). Calculate the greatest common factor of g and 8. 8 Let w(h) = h**2 - 4*h + 2. Let o be w(6). Let u(f) = 21*f - 105. Let y be u(11). Calculate the highest common divisor of o and y. 14 Suppose 5*s = o - 20, 5*o - s - s = 8. Let k be (0 - o) + (-3 - -7). Let c = 2 + k. What is the highest common factor of c and 42? 6 Suppose 2*d = -2*d - 4*s + 236, 3*d = -5*s + 167. What is the greatest common divisor of 8 and d? 8 Suppose 0*i + 6*i - 198 = 0. Calculate the highest common divisor of 22 and i. 11 Let r be ((-16)/6)/((-4)/(-918)). Let i be 18/99 + r/(-22). What is the greatest common divisor of i and 42? 14 Let k = 25 - 1. What is the highest common factor of k and 60? 12 Suppose 3*b - 42 = f + 37, -5*b + 4*f + 120 = 0. What is the greatest common divisor of 308 and b? 28 Let s = -11 - -16. What is the greatest common factor of 2 and s? 1 Let w be ((-4)/6)/(2/(-3)). Let y be (w - 0) + (-2 - -5). Suppose -5*r + 3*l + 60 = 0, -r + y*l = r - 24. What is the highest common factor of 24 and r? 12 Suppose -2*i - 26 = -4*t, -3*t + 0*i + 4*i = -27. Let u(k) = k**3 - 3*k**2 + 6*k - 3. Let c be u(t). What is the highest common factor of 7 and c? 7 Suppose -3*m = -6*m + 9. Let z be 0 + 9 + m - -2. What is the greatest common factor of z and 35? 7 Let h be 4 + (327 - (-3 + 1 - -3)). What is the highest common divisor of 30 and h? 30 Let c(a) be the third derivative of a**5/60 + a**3/2 - 2*a**2. Let h be c(3). Let i = h + -7. What is the greatest common factor of i and 40? 5 Let g be 770/65 + (-4)/(-26). Let k be (0 - 12)/(1/(-8)). What is the highest common divisor of g and k? 12 Let q be (-1 + (1 - 1))*-8. Let g be ((-3)/(-1))/(9/21). Let m(j) = j**2 - 3*j - 8. Let r be m(g). Calculate the greatest common factor of q and r. 4 Let j(d) = 2*d - 11. Let m be j(10). Suppose 0 = 2*o + 5*y + 4, -o - 3*y + 4*y = -5. Calculate the greatest common factor of m and o. 3 Let w(u) = -u**3 - 4*u**2 - 11. Let v be w(-5). Calculate the highest common factor of v and 42. 14 Let j(q) = q + 17. Let v be j(-14). Let y = 4 - 1. What is the greatest common factor of v and y? 3 Let y = 16 - 23. Let p be 4/(-14) - (-12)/y. Let k be (3 - -9)*p/(-1). Calculate the highest common factor of k and 3. 3 Let y(b) = 4*b**2 + 9*b - 18. Let g be y(6). What is the highest common factor of 20 and g? 20 Suppose -2*s = -5*b + 146, 4*b + 40 = -5*s + 137. Suppose -15 = -3*f + 6. Calculate the highest common divisor of f and b. 7 Suppose 3*m + 7*g - 3*g = 407, 4*m - 522 = 5*g. Calculate the greatest common divisor of m and 19. 19 Let w(h) = h**3 - 4*h**2 + 4*h - 1. Let r be w(3). What is the highest common divisor of r and 6? 2 Let z(v) = -4*v + 45. Let b be z(9). Calculate the greatest common divisor of 9 and b. 9 Suppose -4*f = 5*j - 904, 2 = 2*f - 0*f. Suppose 2*n = -10, -4*n + 7*n + 67 = 4*i. Suppose 0 = -u + 7 + i. What is the greatest common factor of u and j? 20 Let u(o) = 2*o**2 + 15*o + 4. Let r be u(-7). Let j(i) = 3*i**2 + 1. Let d be j(r). Calculate the highest common divisor of 7 and d. 7 Let a(j) = 8*j - j**3 + 4 - 5 + 7. Let r be a(-5). Calculate the greatest common divisor of r and 13. 13 Suppose 0*o = -5*l - o - 178, 5*l = 2*o - 169. Let f = l + 50. Calculate the greatest common factor of f and 5. 5 Let h = -17 + 50. Calculate the greatest common factor of h and 3. 3 Let j be (-1416)/(-28) + 9/21. Calculate the highest common factor of 17 and j. 17 Let q(m) = 9*m - 1. Suppose 0 = -0*f - 2*f - 4. Let t = 3 + f. Let h be q(t). What is the highest common divisor of h and 32? 8 Let f = -33 + 130. Suppose -d = -f - 13. Suppose -4*k + 3*k = 5*x - 35, 5 = -k + 3*x. What is the greatest common divisor of k and d? 10 Let r(p) = p**2 + 9*p - 11. Let q be r(-10). Let g be q/(3 - 4) - -23. Suppose -2 = 4*b - 66. What is the greatest common factor of b and g? 8 Suppose -o + 4 = -5. Suppose -x - 3*x + 4*v = -8, 11 = -5*x - 2*v. Let c be 82/3 - x/(-3). Calculate the greatest common divisor of c and o. 9 Suppose 0 = 4*x - 3*p - 137, 4*x + 3*p - 260 + 93 = 0. Calculate the greatest common factor of x and 190. 38 Let x(f) be the third derivative of -f**4/2 - f**3/2 - 3*f**2. Let k be x(-9). What is the greatest common divisor of 15 and k? 15 Suppose 5*s = 15 + 80. Let j = 1 + s. What is the greatest common divisor of j and 20? 20 Let b(o) be the third derivative of -o**4/24 + o**3/6 + 4*o**2. Let f be b(-5). Calculate the greatest common factor of 66 and f. 6 Let i(l) = 5*l**2 + 1. Let v be 1/1*(1 - 0). Let p be i(v). Suppose k - p = -k. Calculate the greatest common divisor of 24 and k. 3 Let o(u) = -u**2 + 6*u + 9. Let f be o(7). Suppose l - 12 = -l + t, -2*l + f*t = -16. What is the greatest common factor of 10 and l? 2 Suppose 0 = 10*h - 5*h - 330. What is the highest common divisor of h and 6? 6 Let y(x) = 124*x + 2. Let l be y(1). Calculate the highest common factor of l and 18. 18 Let n = 6 + 11. Calculate the greatest common divisor of 136 and n. 17 Let i(b) = 3*b**2 + 8*b + 7. Let j = -6 - -1. Let l be i(j). Let c be (-2)/(-7) + 120/21. What is the greatest common factor of l and c? 6 Let v = -5 - -4. Let i be v/(1 - 3)*22. Calculate the highest common factor of i and 11. 11 Suppose 4*p - 2*v - 78 = 0, 15 + 46 = 3*p + v. Calculate the greatest common factor of 50 and p. 10 Let v(p) = -p**2 - 3*p + 2. Let k be v(-2). Suppose j + k*j = 5. What is the highest common factor of j and 1? 1 Suppose -4*x = -2*x + 36. Let r = x + 33. Calculate the greatest common factor of r and 75. 15 Suppose d - 2*d = -3*m + 182, 0 = 3*d + 6. Suppose 0 = -n - 2, 2*n + 10 = 2*v. Suppose 0 = v*s - 0*s - 45. Calculate the highest common divisor of s and m. 15 Let y(q) = 7*q + 5. Let x(i) = 6*i + 5. Let d(h) = -6*x(h) + 5*y(h). Let k be d(-7). What is the highest common factor of k and 2? 2 Let i = -132 + 195. What is the greatest common factor of 21 and i? 21 Suppose -5*c = -o - 44, 5*c + 3*o - 21 = 3*c. Suppose 4*w - 4*l - 384 = 0, -l + 498 = 5*w - 0*w. Calculate the greatest common factor of w and c. 9 Suppose 0 = -5*v - 4*y + 11, -5*v + 10 = -y - 6. Calculate the greatest common factor of 30 and v. 3 Let n(o) = 2*o**3 + 2*o**2 - 4*o - 2. Let c be n(-3). Let z be 788/52 + 4/c. Let j = 188 - 83. Calculate the highest common factor of z and j. 15 Let p be -40*((-12)/8)/3. Let t be (-3)/(-9)*3 + p. Let s = -6 + 13. What is the greatest common divisor of s and t? 7 Let s(h) = h**2 - 3*h - 14. Let n be s(-5). Calculate the greatest common factor of 39 and n. 13 Let o be 13 + 0 + 0/2. Calculate the highest common divisor of 130 and o. 13 Suppose 0 = 3*n + 3*n - 204. Calculate the greatest common divisor of 2 and n. 2 Suppose 42 = 5*l + 12. Calculate the highest common factor of 24 and l. 6 L
{ "pile_set_name": "DM Mathematics" }
e hundred thousand? -2300000 Let l = 0.03676 + 45.03324. Let g = l + -0.07. Let k = -45.0019 + g. What is k rounded to three decimal places? -0.002 Let p = -0.011 - -0.01099804. What is p rounded to seven dps? -0.000002 Let h = 69 + -69.00594. Round h to 3 dps. -0.006 Let y(q) = -148366*q**2 - 10*q + 4. Let v be y(7). What is v rounded to the nearest 1000000? -7000000 Let f(z) = 373319*z + 41. Let b(t) = -93330*t - 10. Let n(w) = -9*b(w) - 2*f(w). Let k be n(6). Round k to the nearest one hundred thousand. 600000 Let t = -0.13 + -0.316. Round t to two dps. -0.45 Suppose 5*k - 1 = -2*v, -2*v + 0*v = -2*k + 6. Let p = -6 - v. Let n be 1/p + (-143999996)/16. What is n rounded to the nearest 1000000? -9000000 Let y = -4.02 - -2.3. Let a = 2 + y. Let g = -0.1 - a. What is g rounded to one dp? -0.4 Let z = 2 - 2.6. Let i = -28.6 - z. Let v = i + 27.966. Round v to 2 dps. -0.03 Let m be 4/(-6) + (-14)/(-3). Let i(b) = 56250*b**3 + b**2 - 3*b - 4. Let t be i(m). Suppose 0*k - t = -k. What is k rounded to the nearest one million? 4000000 Let l = -186.00000871 + 186. What is l rounded to six decimal places? -0.000009 Let b(d) = -1 - 299*d - 1 - 2. Let x(r) = -2*r. Let m be x(-2). Let n be b(m). Round n to the nearest 1000. -1000 Let t = -729 - -728.689. Let q = t + 0.23. What is q rounded to two decimal places? -0.08 Let r = 0.317 - 0.31700343. Round r to 6 dps. -0.000003 Let w = -150.6 - -143.51. Let u = w + 7.5. What is u rounded to 1 decimal place? 0.4 Let t(k) = -787*k**3 - 2*k**2 + 3*k - 2. Let z be t(2). Round z to the nearest 1000. -6000 Let l = 64.7 - 9.4. Let d = -58 + l. Round d to zero dps. -3 Let w = 19 - 10. Let n = w + -6. Suppose 2*v = -n*v - 465000. Round v to the nearest ten thousand. -90000 Let r = 21.89 + -22. Let w = r + 0.10978. Round w to four decimal places. -0.0002 Let z = -315.0922 + 315. Round z to 2 dps. -0.09 Let f = -210538858117 - -210551833461.000026. Let m = -12975331 + f. Let i = 13 - m. Round i to 5 decimal places. -0.00003 Let r = 0.02357 - -53.26643. Let d = r + -1.29. Let w = 52.00117 - d. Round w to 4 decimal places. 0.0012 Let s(y) = 2049752 + y**2 + y**3 - 2*y**3 - 12849752. Let z be s(0). What is z rounded to the nearest one million? -11000000 Let c = -22.73 - -21.5. Let t = c + 1.229898. Round t to five dps. -0.0001 Let l = 6 - 6.8. Let g = -243573 + 243573.799992. Let w = l + g. What is w rounded to 5 decimal places? -0.00001 Let w = -5.5 - -6. Let z = -0.4999968 + w. Round z to 6 decimal places. 0.000003 Let m = -5.9 - -13. Let b = m + -7.1000031. What is b rounded to six decimal places? -0.000003 Let j = 539668956 - 350546597. Let h = j - 189122266.999939. Let f = 92 - h. What is f rounded to 5 decimal places? -0.00006 Let n = 0.08 - -0.09. Let d = -0.17016 + n. Round d to 4 decimal places. -0.0002 Suppose 0*g + 5 = g. Suppose -34 = g*y + 26. Let i be 419998/3 + (-8)/y. Round i to the nearest 10000. 140000 Let l = 0 + 0. Suppose l*y + y = 3*x + 71, -2*y = 2*x - 182. Round y to the nearest 10. 90 Let i = -11 - -13. Suppose -3*q = -4353 - 9516. Suppose i*d - q - 8177 = 0. Round d to the nearest 1000. 6000 Let n = 10.289 + -10.2. Let g = 1.119 - n. Round g to one decimal place. 1 Let y = 163 + -163.00000249. What is y rounded to 7 dps? -0.0000025 Let o = -272.9999861 + 273. What is o rounded to six decimal places? 0.000014 Let t = -3053 - -3053.08698. Let x = t - -37.10302. Let z = 37 - x. Round z to 1 decimal place. -0.2 Let n = 100.74 + 0.26. Let y = n - 92.7. Round y to zero decimal places. 8 Let x = -38 - -21.1. Let l = x - -0.9. Let w = -16.112 - l. What is w rounded to 2 dps? -0.11 Let z be 6/4 - (-14819)/14. What is z rounded to the nearest 100? 1100 Let p = -16 - -25. Let h = -8.99995 + p. Round h to five dps. 0.00005 Let l(q) = 3749*q**3 + 6*q**2 - q + 6. Let y be l(6). What is y rounded to the nearest 100000? 800000 Let j = -1874 - -6874. What is j rounded to the nearest 1000? 5000 Let p be (4815/2)/((-4)/216). Let q be 3/(-3)*(p - -2). Let y be -3 - q*(2 + -3). Round y to the nearest one hundred thousand. 100000 Let c = -3535.407 + -32.793. Let a = c - -3568.2299945. Let g = a + -0.03. Round g to six dps. -0.000006 Let d(h) = 140756*h**2 + 2*h - 7. Let b be d(5). Let n = -5808903 + b. Round n to the nearest 100000. -2300000 Let x = -0.31 + -0.73. Round x to one decimal place. -1 Let m = 19665 - 19663.2359. Let r = -1.78 + m. Round r to three dps. -0.016 Let m = 29.5 - 22. Let t = m - 9. What is t rounded to zero decimal places? -2 Let f = -19 - -39. Let j = f - 20.22. Round j to one decimal place. -0.2 Let k = -70274 + 124054. Suppose 3*f = 5706220 + k. What is f rounded to the nearest 100000? 1900000 Let z be 3*(17/3 - 2). Let u(o) = 3*o - 4 - z*o**2 + 0*o + 3*o**2 + 0*o. Let m be u(-3). Round m to the nearest 10. -90 Let r = -0.309 - 0.135. Round r to two decimal places. -0.44 Suppose -1440 = -113*t + 114*t. Round t to the nearest one hundred. -1400 Let w = -0.23 - -4.21. Let p = w + -4. Let z = p + -0.078. Round z to two dps. -0.1 Let f = -70 - -37. Let q = -33.00000046 - f. Round q to seven decimal places. -0.0000005 Suppose 280 = -z - 3*z. Round z to the nearest 100. -100 Let v be -1 + 2 + (-71 - 2). Let t = -5 + 12. Let n = v + t. Round n to the nearest 10. -70 Let l = -320.4 - -295. Let t = l + 33. Let q = -9 + t. Round q to 0 decimal places. -1 Let p = 170721773 + -170721855.000071. Let v = -82 - p. What is v rounded to 5 dps? 0.00007 Let d = 126.952 + -127. Round d to 2 decimal places. -0.05 Let z = 1203.11 + -1209. What is z rounded to 1 dp? -5.9 Let b = 2.95 - 3. Let v = 0.55 + b. What is v rounded to one decimal place? 0.5 Let x = -0.012 + -86.988. Let w = 89.47 + x. Round w to 1 decimal place. 2.5 Let w = 4 - 3. Let r = 1339291.999959 + -1339293. Let p = w + r. Round p to five dps. -0.00004 Let r = 0.331 - 0.29. Let j = -0.04 + r. Let u = j + 0. What is u rounded to 3 dps? 0.001 Let i = -16.2 - -3.2. Let w = 12.28 + i. What is w rounded to one decimal place? -0.7 Let y = -0.3 - -8.3. Let z = y - 8.00088. What is z rounded to four dps? -0.0009 Suppose 0 = -o + 2*o - 87000. What is o rounded to the nearest ten thousand? 90000 Let o(u) = -u**3 - 5*u**2 + u + 6. Let q(r) = -r**2 - 5*r + 1. Let k be q(-6). Let v be o(k). Let s be ((-2)/4)/(v/(-144)). Round s to the nearest ten. 70 Let y = -11 - -10.55. Let z = 0.16 + 0.06. Let n = y - z. Round n to one dp. -0.7 Let y = 28.83 - 29. Let a = -286226 + 286226.1700011. Let b = a + y. Round b to 6 decimal places. 0.000001 Let d = 12.30000184 - 12.3. What is d rounded to 7 decimal places? 0.0000018 Let j = -254 - -258.08. Let r = 0.08 - j. Let z = r + 4.006. What is z rounded to 2 dps? 0.01 Suppose -3*b = -2*k + 3019991, -4*k + 3*b + 6039991 = -0*b. Round k to the nearest 100000. 1500000 Let a = 3.92 - 0.08. Let r = -675158973.15999791 + 675158977. Let i = a - r. Round i to seven dps. -0.0000021 Let y(u) = 5100001*u + 3. Let k be y(-3). What is k rounded to the nearest one million? -15000000 Let o = -6 + 5.976. Let w = -3.124 - o. Round w to the nearest integer. -3 Let s = 0.90000019 + -0.9. Round s to 7 dps. 0.0000002 Let c = -13 - -15. Let r = 1.99999954 - c. Round r to 7 decimal places. -0.0000005 Let h = -47595 - -33225. Let b be -640*(h - 3 - 2). Suppose 0*i + b = -i. Round i to the nearest 1000000. -9000000 Suppose 3600000 = -10*p + 5*p. What is p rounded to the nearest one hundred thousand? -700000 Let c = -2702.100025 + 2702. Let x = -0.1 - c. What is x rounded to 5 dps? 0.00003 Let q(j) = -j. Let u(d) = 74*d**2 + 10*d - 3. Let s(z) = 22*q(z) + 2*u(z). Let h be s(-9). Round h to the nearest 10000. 10000 Suppose -4*p - p = 0. Let v = -64 + 127. Suppose 5*y - 4*r + v + 162 = p, -3*r + 56 = -y. Round y to the nearest ten. -40 Let s = -13620182.773004 + 13620242. Let o = s - 59.127. Let k = o + -0.1. Round k to 5 decimal places. 0 Let s = 2 - 11. Let p = -9.22 - s. Round p to one dp. -0.2 Let b = -4851.53713 + -222417.04387. Let w = -227299.58099958 - b. Let d = w - -31. Round d to 7 dps. 0.0000004 Suppose 10*d + 45 = 5*d. Let o(m) = 2 - 9*m + 3 - 1643*m**2 - 3. Let j be o(d). Round j to the nearest ten thousand. -130000 Suppose 0 = p - 8 - 0. Let y(o) = o**3 - 12*o**2 + 4*o - 6. Let b be y(p). Round b to the nearest 100. -200 Let d = -13733
{ "pile_set_name": "DM Mathematics" }
+ 232*w**3/15 + 8*w**2/5 - 2752*w/15 - 3712/15 = 0? -2, 4, 116 Let 5*z**4 - 205*z**3 - 1290*z**2 + 6280*z + 7360 = 0. What is z? -8, -1, 4, 46 Factor -3*i**2/4 + 2067*i/2 + 54249/4. -3*(i - 1391)*(i + 13)/4 Factor -4*q**2 + 308224*q - 5937627136. -4*(q - 38528)**2 Suppose 4*y**4 - 6292*y**3 + 130944*y**2 - 895232*y + 1986560 = 0. What is y? 5, 8, 1552 Determine b so that 50*b**5 + 3485*b**4 + 5800*b**3 + 1345*b**2 - 1020*b = 0. -68, -1, 0, 3/10 Suppose 1642*n**3/5 + 658*n**2 + 1654*n/5 + 6/5 = 0. What is n? -1, -3/821 Let -2*s**4/3 + 5218*s**3/9 - 1414340*s**2/9 + 113032192*s/9 - 24909248/3 = 0. Calculate s. 2/3, 141, 364 Suppose 5*z**2 - 23655*z - 23660 = 0. Calculate z. -1, 4732 Suppose a**2/8 - 121799*a/4 - 243599/8 = 0. Calculate a. -1, 243599 Factor -36*n**2 - 1612*n - 7160. -4*(n + 5)*(9*n + 358) Factor -961*n**3/2 - 46190*n**2 - 184576*n - 188416. -(n + 92)*(31*n + 64)**2/2 Solve 4*r**5 - 28*r**4 - 1156*r**3 - 6932*r**2 - 8448*r + 16560 = 0. -6, -5, 1, 23 Find d such that 14*d**5/13 - 8908*d**4/13 - 15474*d**3/13 + 103232*d**2/13 + 79160*d/13 - 30624/13 = 0. -4, -1, 2/7, 3, 638 Factor -3*a**2 + 3498*a - 51795. -3*(a - 1151)*(a - 15) Solve -8*n**5/5 - 284*n**4/5 + 232*n**3 + 2624*n**2/5 - 1152*n/5 - 468 = 0. -39, -3/2, -1, 1, 5 Determine r, given that -r**3/7 + 11394*r**2 - 227190663*r = 0. 0, 39879 Determine c, given that -c**4/3 + 44*c**3 - 975*c**2 - 6386*c/3 = 0. -2, 0, 31, 103 Find b such that 6*b**2/5 - 2188*b/5 - 2928/5 = 0. -4/3, 366 Factor -x**4/3 + 608138*x**3 - 369831827044*x**2 + 224908787634884072*x/3. -x*(x - 608138)**3/3 Suppose -4*u**3/3 - 532*u**2/3 - 7600*u/3 - 4368 = 0. What is u? -117, -14, -2 Let -4*t**4/3 - 3440*t**3/3 + 20740*t**2/3 - 38080*t/3 + 6928 = 0. What is t? -866, 1, 2, 3 Solve -4*p**3/3 + 240*p**2 - 1844*p + 4816/3 = 0 for p. 1, 7, 172 Suppose 2*a**3 - 757180*a**2 = 0. What is a? 0, 378590 Factor g**3/3 - 49*g**2/3 + 494*g/3 + 544/3. (g - 34)*(g - 16)*(g + 1)/3 Suppose x**4 - 756*x**3 - 1516*x**2 = 0. Calculate x. -2, 0, 758 Find l such that -l**2/3 - 33388*l - 100163/3 = 0. -100163, -1 What is q in q**3/4 - 5251*q**2 - 63039*q - 189144 = 0? -6, 21016 Factor 2*a**3/7 + 1014*a**2/7 + 129030*a/7 + 128018/7. 2*(a + 1)*(a + 253)**2/7 Find p such that 3*p**4 + 567*p**3 + 26880*p**2 + 26316*p = 0. -102, -86, -1, 0 Find j such that -4*j**3 + 2740*j**2 + 244484*j + 241740 = 0. -79, -1, 765 Solve 2*f**2/7 + 3246*f - 22724/7 = 0. -11362, 1 Factor -69239041*b**2/3 + 49926*b - 27. -(8321*b - 9)**2/3 Determine o, given that -5*o**3 + 60575*o**2 - 605375*o + 1513125 = 0. 5, 12105 Find v such that 5*v**5 + 265*v**4 - 2760*v**3 + 1940*v**2 + 4960*v = 0. -62, -1, 0, 2, 8 Let 18225*h**3 - 55620*h**2 + 43381*h - 10082 = 0. Calculate h. 71/135, 2 Solve -2704*m**2 - 2702*m + 2 = 0 for m. -1, 1/1352 Factor g**3/9 - 101*g**2/3 + 1267*g - 12789. (g - 261)*(g - 21)**2/9 Factor -4*j**2/5 + 219776*j/5 - 3018843136/5. -4*(j - 27472)**2/5 Find a such that a**2 + 8266*a - 16536 = 0. -8268, 2 What is a in -3*a**2/7 + 900*a + 31575/7 = 0? -5, 2105 Determine p, given that -1166*p**3/9 + 1126*p**2/9 - 20*p/3 = 0. 0, 3/53, 10/11 Find k such that 250*k**4/9 + 170*k**3/9 - 88*k**2/9 - 8*k/9 = 0. -1, -2/25, 0, 2/5 Find y, given that 4*y**4/7 + 208*y**3/7 + 1044*y**2/7 - 2728*y/7 + 1472/7 = 0. -46, -8, 1 Solve -2*w**3 - 1146*w**2 - 162432*w + 497664 = 0. -288, 3 Solve -2*v**2/7 + 66656*v/7 - 555377792/7 = 0 for v. 16664 Factor 2*f**2 + 648952*f + 52642337288. 2*(f + 162238)**2 Find t, given that -3*t**2 + 198*t - 1944 = 0. 12, 54 What is u in 2*u**3/11 + 32*u**2/11 - 238*u/11 - 588/11 = 0? -21, -2, 7 What is v in 2*v**5 - 666*v**4 + 40014*v**3 + 2758834*v**2 - 5635056*v + 2836872 = 0? -41, 1, 186 Factor 2*b**4 + 18120*b**3. 2*b**3*(b + 9060) Factor -n**3/2 - 153*n**2 - 19565*n/2. -n*(n + 91)*(n + 215)/2 Factor 2*m**2/3 - 3526*m - 116600/3. 2*(m - 5300)*(m + 11)/3 Factor 2*c**2/7 + 900*c/7 - 1808/7. 2*(c - 2)*(c + 452)/7 Let -2*s**2 - 5462*s - 5460 = 0. What is s? -2730, -1 Find q such that -6*q**5/11 + 28*q**4 + 13678*q**3/11 + 58924*q**2/11 + 81896*q/11 + 32400/11 = 0. -25, -2, -2/3, 81 Solve 2*m**5/11 - 9990*m**4/11 + 12470016*m**3/11 + 12480008*m**2/11 = 0 for m. -1, 0, 2498 Let -3*d**2 - 306420*d - 612828 = 0. Calculate d. -102138, -2 Suppose -4*q**3 - 220*q**2 + 232*q + 448 = 0. Calculate q. -56, -1, 2 Determine y, given that -143*y**2/5 - 617*y/5 - 474/5 = 0. -474/143, -1 Factor t**4/2 + 21925*t**3 + 479827825*t**2/2 - 9622882500*t + 96316605000. (t - 20)**2*(t + 21945)**2/2 Factor -14*w**2/13 - 5610*w/13 + 5624/13. -2*(w - 1)*(7*w + 2812)/13 Factor -x**2 - 931*x + 148730. -(x - 139)*(x + 1070) Suppose 4*l**3/5 - 1016*l**2/5 - 66124*l + 331632/5 = 0. Calculate l. -188, 1, 441 Factor 20*p**2 - 387*p + 981. (p - 3)*(20*p - 327) Determine q so that 2*q**3/11 - 164*q**2/11 - 9728*q/11 + 808640/11 = 0. -70, 76 Factor -3*k**2 + 7926*k + 7929. -3*(k - 2643)*(k + 1) Suppose -5*n**4 + 330*n**3 + 4745*n**2 - 5070*n = 0. What is n? -13, 0, 1, 78 Find l such that 3*l**2/5 - 118938*l/5 + 1178853987/5 = 0. 19823 Find i, given that -2*i**4/9 + 18976*i**3/9 - 5001230*i**2 - 18976*i/9 + 45011072/9 = 0. -1, 1, 4744 Factor -2*r**2 + 5668*r + 5670. -2*(r - 2835)*(r + 1) Find d, given that -d**3/6 + 1387*d**2/6 - 2768*d/3 + 922 = 0. 2, 1383 Suppose -2*p**5/7 + 2230*p**4 + 140674*p**3/7 - 171890*p**2/7 - 20096*p + 156280/7 = 0. Calculate p. -10, -1, 1, 7814 Let -2*l**2/5 + 2254748*l/5 - 635486067938/5 = 0. Calculate l. 563687 Let -114*m**3/5 - 61892*m**2 - 173688*m/5 + 21712/5 = 0. What is m? -2714, -2/3, 2/19 Factor 3*n**2/5 - 1818*n/5 - 104781/5. 3*(n - 659)*(n + 53)/5 What is b in -5*b**2 - 2005*b - 13790 = 0? -394, -7 Factor 4*o**4 + 160*o**3 + 2048*o**2 + 9728*o + 15360. 4*(o + 4)**2*(o + 12)*(o + 20) Factor 135*d**3 + 9625*d**2 + 177625*d + 214375. 5*(d + 35)**2*(27*d + 35) Factor m**2 + 4525*m + 9046. (m + 2)*(m + 4523) Let -3*l**4/2 + 4503*l**3/4 + 2259*l**2/4 - 4503*l/4 - 2253/4 = 0. What is l? -1, -1/2, 1, 751 Let -4*n**5 + 124*n**4 + 2084*n**3 + 8724*n**2 + 11088*n = 0. What is n? -7, -3, 0, 44 Factor d**2/2 + 1493*d/2 + 746. (d + 1)*(d + 1492)/2 Factor -o**4 - 12263*o**3 - 50086113*o**2 - 67966037141*o + 684681255710. -(o - 10)*(o + 4091)**3 Let 4*p**2/7 - 277920*p/7 + 4827470400/7 = 0. Calculate p. 34740 Suppose -2*m**2/9 - 18442*m/9 + 259364/3 = 0. Calculate m. -9263, 42 Determine r, given that r**2/4 - 1607*r - 32165/4 = 0. -5, 6433 Determine v, given that 6*v**3 - 843*v**2 + 21939*v + 22788 = 0. -1, 36, 211/2 Suppose -w**3/7 - 3*w**2/7 + 22*w/7 + 24/7 = 0. What is w? -6, -1, 4 Factor 3249*n**2/4 - 22173*n + 151321. (57*n - 778)**2/4 Factor 5*s**5 + 390*s**4 - 9080*s**3 - 1469600*s**2 - 37403520*s - 211256320. 5*(s - 62)*(s + 8)*(s + 44)**3 Factor 3*u**3/2 - 306*u**2 + 41607*u/2 - 471339. 3*(u - 69)**2*(u - 66)/2 Factor -u**3/7 - 967*u**2/7 - 44488*u - 33397872/7. -(u + 303)*(u + 332)**2/7 Find g such that 2*g**4 + 1870*g**3 + 62924*g**2 - 68544*g - 129600 = 0. -900, -36, -1, 2 Let -k**4 - 59*k**3 + 5244*k**2 - 5184*k = 0. What is k? -108, 0, 1, 48 Factor -5*y**2/6 - 63*y + 4763/6. -(y - 11)*(5*y + 433)/6 What is i in i**2 - 5598*i + 83745 = 0? 15, 5583 Solve 8*j**5/11 + 122*j**4/11 - 1336*j**3/11 + 2034*j**2/11 - 828*j/11 = 0. -23, 0, 3/4, 1, 6 Suppose -5*y**2 + 85020*y = 0. Calculate y. 0, 17004 Determine g so that g**3 - 6*g**2 - 432*g = 0. -18, 0, 24 Determine g, given that -239*g**2/3 - 299*g - 180 = 0. -3, -180/239 Suppose -2*s**5/9 + 32*s**4/9 + 50*s**3/3 - 76*s**2 = 0. Calculate s. -6, 0, 3, 19 Suppose 134*z**4/11 + 276*z**3/11 + 16*z**2/11 = 0. Calculate z. -2, -4/67, 0 Factor l**2 + 171290*l + 7335066025. (l + 85645)**2 What is b in b**4/5 + 15472*b**3/5 + 59737294*b**2/5 - 838597872*b/5 + 2937748401/5 = 0? -7743, 7 Factor -h**2 + 49510*h - 612810025. -(h - 24755)**2 Solve 8*b**4 - 114*b**3 - 508*b**2 + 4614*b - 1120 = 0. -7, 1/4, 5, 16 Find n, given that -2*n**2 + 1386*n + 2780 = 0. -2, 695 Factor -3*q**3 - 40770*q**2 - 244536*q - 326016. -3*(q + 2)*(q + 4)*(q + 13584) Find n, given that n**2/5 + 1328502*n/5 + 441229391001/5 = 0. -664251 Suppose -2*t**4 + 119*t**3 - 1654*t**2 - 2693*t - 918 = 0. What is t? -1, -1/2, 27, 34 Factor 2*m**3/19 - 710*m**2/19 + 704*m/19 + 1416/19. 2*(m - 354)*(m - 2)*(m + 1)/19 Suppose -d**3/3 + 4609*
{ "pile_set_name": "DM Mathematics" }
7 + -107. Suppose -4*y - 17 + 113 = w. Factor y*t + 20*t**2 + 53*t**3 - 58*t**3 + t. -5*t*(t - 5)*(t + 1) Let w(c) = c + 3. Let o be w(-3). Suppose o = 3*j - 10*j + 112. Find z such that z**2 - 4*z**2 + 16 + 4*z**4 - 2*z**2 + j*z - 8*z**3 - 7*z**2 = 0. -1, 2 Let u(h) be the second derivative of 0 + 1/4*h**5 + 1/24*h**6 - 5/24*h**4 - 44*h - 5/2*h**3 - 5/2*h**2. Let s(k) be the first derivative of u(k). Factor s(b). 5*(b - 1)*(b + 1)*(b + 3) Suppose -f + t = -6, -17*t - 12 = f - 15*t. Let l(y) be the third derivative of 0*y**3 + 0*y + 0*y**4 + 1/20*y**5 + 21*y**2 + f. Factor l(n). 3*n**2 Factor -27/8*f**2 - 5/8*f**3 - 5*f - 3/2. -(f + 2)*(f + 3)*(5*f + 2)/8 Let s be (13/6 - 1)/((-115328)/954 - -121). What is t in -s*t**3 + 0 + 3/2*t**4 + 0*t**2 + 0*t = 0? 0, 7 Let d = 617 + -586. Factor -15*w**2 + 12*w**2 - d*w + 4*w - 42. -3*(w + 2)*(w + 7) Let b(r) be the first derivative of -2/3*r**3 + 2/3*r**4 - 4*r**2 - 6*r + 1/5*r**5 - 19. Let x(h) be the first derivative of b(h). Factor x(y). 4*(y - 1)*(y + 1)*(y + 2) Find q, given that -35/2 + 1/4*q**2 - 3/4*q = 0. -7, 10 Find l such that 90*l - 53*l**2 + 230*l**2 - 258*l - 270 - 78 - 579*l**3 + 576*l**3 = 0. -1, 2, 58 Let u(v) be the second derivative of -v**8/112 + v**7/70 + v**6/40 - v**5/20 + 37*v**2 + 5*v - 3. Let x(i) be the first derivative of u(i). Factor x(b). -3*b**2*(b - 1)**2*(b + 1) Let i = -228 + 230. Solve -41 + 11 - 124*p**i + 9*p + 127*p**2 = 0 for p. -5, 2 Factor 14*g**3 + 223*g**2 - 1243 - 3898*g - 620*g**2 + 223 - 747*g**2. 2*(g - 85)*(g + 3)*(7*g + 2) Let l = -26300 - -26300. Let j(c) be the third derivative of l*c + 1/12*c**4 + 9*c**2 - 1/30*c**5 + 2/3*c**3 + 0. Factor j(k). -2*(k - 2)*(k + 1) Let t(d) = 3*d**3 - 233*d**2 + 4501*d + 1537. Let c(q) = 22*q + 33*q + 2 - 53*q. Let k(b) = 24*c(b) - 3*t(b). Factor k(y). -3*(y - 39)**2*(3*y + 1) Solve 0 - 1510/7*c**4 + 1024*c**3 + 50/7*c**5 + 192*c + 6472/7*c**2 = 0. -2/5, 0, 7, 24 Suppose 3*n + 101 = 2*s, 6*s - 155 = 3*s + n. Let q = -48 + s. Suppose -3 - 4*f**2 - 14 - q + 20*f + 5 = 0. Calculate f. 1, 4 Let f(h) = 20*h - 75. Let a be f(4). Solve 6*t + 30 + 25*t**3 - a*t**4 - 7*t - 25*t**2 + 5*t - 29*t = 0. -1, 1, 2, 3 Let q(f) be the third derivative of 0*f + 1/60*f**5 - 3*f**2 + 14 + 5/6*f**3 + 1/4*f**4. Let q(k) = 0. What is k? -5, -1 Let y(w) be the first derivative of 0*w**2 + 8/5*w**5 - w**4 + 2/3*w**6 - 8/3*w**3 - 65 + 0*w. Solve y(c) = 0. -2, -1, 0, 1 Let t be (0 - 5/(270/26))*12. Let d = -163/36 - t. Solve -d*s + 1/4*s**3 + 1/4*s**4 - 1/2 - 3/4*s**2 = 0. -1, 2 Let n(z) be the first derivative of 43 - 1/2*z**3 + 36*z + 0*z**2 + 1/16*z**4. Let r(g) be the first derivative of n(g). Factor r(k). 3*k*(k - 4)/4 Determine h so that 519 + 2*h**2 + 573 - 1432 + 166*h + 0*h**2 = 0. -85, 2 Let i(x) be the second derivative of x**6/30 - 7*x**5/20 + x**4/6 + 32*x**3/3 - 48*x**2 + 3*x + 16. Factor i(a). (a - 4)**2*(a - 2)*(a + 3) Let x(d) be the second derivative of d**4/72 - 41*d**3/12 + 295*d**2/6 + 81*d + 3. Let x(n) = 0. What is n? 5, 118 Let i(s) be the third derivative of 2*s**6/45 + 361*s**5/90 + 397*s**4/36 + 44*s**3/9 + 4176*s**2. Determine p so that i(p) = 0. -44, -1, -1/8 Let o be (4/8)/((-7)/(336/330) - -7). What is a in -58*a**2 - 32 - 80*a - 16*a**3 - 3/2*a**o = 0? -4, -2, -2/3 Let z = -64416 - -64418. Factor -9/2 + 27/2*l + 1/6*l**5 - 15*l**z + 23/3*l**3 - 11/6*l**4. (l - 3)**3*(l - 1)**2/6 Let z = -19 + 14. Let o(r) = -r**3 - 4*r**2 + 5*r + 2. Let a be o(z). Let -5*g**3 - 7 - 100*g**2 - 13 + 115*g**a = 0. Calculate g. -1, 2 Let m(q) = -69*q + 196. Let a be m(6). Let v = 222 + a. Determine x so that -7/6*x**v - 2*x**3 + 0 + 1/3*x - 1/2*x**2 = 0. -1, 0, 2/7 Let z be 3/(-11) + (-3600)/(-1584). Determine w so that 9/2*w**z - 9*w + 3/2*w**3 - 12 = 0. -4, -1, 2 Let q = 197915/286 + -73/143. Let v = q + -691. Let -1/2*k**2 + 0*k + v = 0. Calculate k. -1, 1 Let u(w) = 2*w + 28. Let x be u(-13). Factor 82*b**4 + 336*b + 48*b**3 + 147 - 256*b**4 + 87*b**4 + 234*b**x + 90*b**4. 3*(b + 1)**2*(b + 7)**2 Solve 210357*t + 4*t**3 - 1168*t**2 + 2344 - 105834*t - 105703*t = 0 for t. -2, 1, 293 Factor -1225*u**2 + 131*u**3 + 817*u**2 - 24480*u - 3468 - 152*u**3 - 1023*u**2. -3*(u + 34)**2*(7*u + 1) Let d(g) be the third derivative of 0*g**4 + 0*g**3 + 3*g**2 + 1/105*g**7 + 0 + 0*g**6 + 0*g - 2/15*g**5. Find w such that d(w) = 0. -2, 0, 2 Let g = -146922 - -146924. Suppose 58/19*l - 12/19 - 36/19*l**3 + 90/19*l**g = 0. Calculate l. -2/3, 1/6, 3 Let b = 559/2195 + -24/439. Let -b*y**2 + 1/5*y**3 - 1/5*y + 1/5 = 0. What is y? -1, 1 Let i(n) be the third derivative of -n**7/14 + 39*n**6/10 - 253*n**5/10 - 3135*n**4/2 + 2527*n**3/2 - 3*n**2 - 72*n - 7. Suppose i(u) = 0. Calculate u. -7, 1/5, 19 Let q be -6 + (-6 - (7 + -25)). Let b(m) = m**3 + 3*m**2 - 6*m + 3. Let a(v) = -4*v**3 - 11*v**2 + 22*v - 11. Let r(j) = q*a(j) + 22*b(j). Factor r(z). -2*z**3 Suppose 28*k + 64 = 60*k. Solve 354*d**5 + 2*d**4 - 352*d**5 + 12*d**3 + 6*d**4 + 8*d**k + 2*d = 0 for d. -1, 0 Let y(m) = -148*m**2 - 123648*m - 136507392. Let f(i) = 43*i**2 + 35328*i + 39002112. Let x(s) = -24*f(s) - 7*y(s). Factor x(r). 4*(r + 2208)**2 Let q(k) be the first derivative of k**6/180 + 2*k**5/5 + 12*k**4 - 2*k**3/3 + 36*k - 34. Let d(j) be the third derivative of q(j). Factor d(t). 2*(t + 12)**2 Let a(x) be the second derivative of -x**5/20 - 403*x**4/12 + 812*x**3/3 - 814*x**2 + 432*x. Let a(n) = 0. What is n? -407, 2 Let u(g) = -396*g + 1595. Let h be u(4). Let p = 5 - 3. Suppose -52*d + h*d**p - 40 + 7*d**2 + 16 + 2*d**2 = 0. What is d? -2/5, 3 Let b(k) = -k**3 - 53*k**2 - 106*k - 99. Let f be b(-51). Suppose 0 = f*l + 23*l. Factor 2/9*x**2 + l - 4/9*x. 2*x*(x - 2)/9 Let f = 394/15 + -3659/140. Let b(l) be the second derivative of -4/7*l**3 + 18/7*l**2 - 1/140*l**5 + 0 - 3*l - f*l**4. Determine q so that b(q) = 0. -6, 1 Factor 2/13*n**3 - 768/13 + 386/13*n**2 + 380/13*n. 2*(n - 1)*(n + 2)*(n + 192)/13 Let y be (29 - 5738/190)*(-2160)/42. Let 0 - 3/7*p**4 + 36/7*p**2 - 24/7*p**3 + y*p = 0. Calculate p. -6, 0, 4 Factor -1153200 - 1240*r - 1/3*r**2. -(r + 1860)**2/3 Let y(v) be the first derivative of 25*v**6/21 - 302*v**5/7 + 759*v**4/14 + 6302*v**3/21 + 280*v**2 + 696*v/7 - 3046. Determine x so that y(x) = 0. -1, -2/5, 3, 29 Let h(q) be the second derivative of q**7/3780 + q**6/270 - 7*q**5/60 + 11*q**4/4 - q**3/6 - 185*q. Let w(k) be the third derivative of h(k). Factor w(i). 2*(i - 3)*(i + 7)/3 Let w(p) be the second derivative of p**6/135 - 7*p**5/90 - 5*p**4/18 + 175*p**3/27 - 250*p**2/9 + p - 815. Factor w(o). 2*(o - 5)**2*(o - 2)*(o + 5)/9 Let t(n) be the first derivative of 12*n**3 + 51 + 0*n**2 + 0*n + 1/5*n**5 + 3*n**4. Factor t(s). s**2*(s + 6)**2 Let k(g) be the third derivative of -g**5/300 - 31*g**4/30 - 41*g**3/10 + 36*g**2 - 8*g. Factor k(l). -(l + 1)*(l + 123)/5 Let l(x) be the third derivative of -x**5/30 - 5*x**4/12 + 28*x**3 + 251*x**2 + 2*x. Suppose l(y) = 0. What is y? -12, 7 Let k(u) be the third derivative of -u**5/12 - 755*u**4/24 - 125*u**3 + 9*u**2 - 54*u. Factor k(x). -5*(x + 1)*(x + 150) Suppose -4*w - o - 41 = -252, 3*w = 5*o + 141. Let v = 59 - w. Factor -h**4 + 2*h**4 + 0*h**4 - v*h**2 - 6*h. h*(h - 3)*(h + 1)*(h + 2) Factor 0 + 0*d**3 + 38/5*d**2 - 2/5*d**4 + 12*d. -2*d*(d - 5)*(d + 2)*(d + 3)/5 Let t(y) be the third derivative of y**7/2415 - 187*y**6/345 + 69563*y**5/345 + 23375*y**4/23 + 46875*y**3/23 + 2727*y**2. Let t(m) = 0. What is m? -1, 375 Let s(v) be the third derivative of -v**5/110 + 949*v**4/66 - 1264*v**3/33 + 356*v**2 - 4. Factor s(u). -2*(u - 632)*(3*u - 2)/11 Let u(k) be the first derivative of 803/2*k**2 - 152/3*k**3 + 242*k + 7/4*k**4 + 11. Factor u(q). (q - 11)**2*(7*q + 2) Let t(f) be the first derivative of -3*f**4/4 - 26*f**3 - 132*f**2 - 1092. Let t(z) = 0. What is z? -22, -4, 0 Let c(h) be the third derivative of -41*h**2 + 1/1575*h**7 - 1/45*h**4 - 1/450*h**5 - 2 + 0*h + 0*h**3 + 1/225*h**6. Factor c(m). 2*m*(m - 1)*(m + 1)*(m + 4)/15 Let n(p) = 19*p**2 + 2612*p - 2631. Let c(j) = 176*j**2 + 23504*j - 23680. Let l(i) = -3*c(i) + 28*n(i). Factor l(u). 4*(u - 1)*(u + 657) Let t(h) be the second derivative of -12/11*h**2 - 46*h - 7/33*h**3 + 0 - 1/66*h**4. Let t(s) = 0. Calculate s. -4, -3 Let o(i) be the first derivative of 5
{ "pile_set_name": "DM Mathematics" }
p**2 - 2*p + p - 4 + 2 - p**3. Let x be t(-2). Suppose 0*n = n - x. What is the greatest common factor of 36 and n? 4 Suppose 5*s - 12 = -2*i, -4*s + i + 32 = -3*i. Let u(k) = 3*k. Let a be u(9). Let w be (12/(-10))/(a/(-360)). Calculate the highest common divisor of s and w. 4 Let q be -1*2*2/(-1). Suppose 2*n - 2*a + 5*a = 18, -5*a + 28 = 3*n. What is the greatest common factor of q and n? 2 Let n be 4/3*(7 + -1). Suppose -2*u + 3*u - n = 0. What is the highest common factor of 16 and u? 8 Let p(j) = 5*j - 4*j + 0 + j**2 + 3*j**3 + 1. Let s be p(-1). Let m be -2*(60/s - 0). What is the highest common factor of 15 and m? 15 Let m = 3 - 1. Suppose -5*c + 0 + 15 = 4*w, -5*w - c + 3 = 0. Let h be w + m + (-124)/(-1). What is the greatest common divisor of h and 14? 14 Suppose n + g = 109, 8 + 12 = 4*g. What is the highest common factor of n and 13? 13 Let v be 22 + (-6)/(-5 + 3). Calculate the highest common divisor of 15 and v. 5 Let d = 423 + -216. Suppose -3*j - 10 = 2*j, 21 = 5*t + 2*j. Suppose -3*l - 3*y + 0*y = -d, t*l = 3*y + 305. Calculate the greatest common divisor of l and 8. 8 Let q = 172 - 81. Let c = q - 58. What is the greatest common divisor of 3 and c? 3 Let u be -1*(0 + 1)*-19. Calculate the greatest common factor of 76 and u. 19 Suppose -5*d = -2*p + 64, 3*d - d + 34 = 5*p. Let u = -1 - d. Calculate the greatest common factor of u and 33. 11 Let n = -3 + 10. Suppose 10 = -n*l + 2*l. Let s be 36*1*l/(-4). Calculate the highest common factor of s and 18. 18 Let g be ((-2)/4)/(4/(-24)). Suppose -g*z - 2*z + 50 = 0. What is the greatest common factor of z and 40? 10 Let r = 2 - -3. Suppose -23 = -4*h + r. Calculate the highest common factor of h and 77. 7 Let h(x) = x**2 + 11*x - 6. Let c(g) = -3*g + 6. Let f be c(6). Let q be h(f). Calculate the greatest common factor of q and 12. 6 Let b be (-22)/(1 - (-6)/(-3)). What is the greatest common factor of 55 and b? 11 Suppose 0 = 4*b - 0*b - 72. Let c = -8 + 14. Calculate the highest common divisor of c and b. 6 Let q(w) = -w**2 + 2*w + 18. Let z be q(0). What is the greatest common factor of z and 12? 6 Let m(r) = 2*r - 17. Let h be m(9). Suppose -5*q = 5*o - 2*o - 70, 4*o = -3*q + 53. Calculate the highest common factor of h and q. 1 Let k be (4 - 2) + (-1 - -1). Let i(g) = g + 3*g - 2 - k*g. Let f be i(3). What is the greatest common divisor of f and 1? 1 Let f(u) be the first derivative of u**4/4 - 2*u**3/3 + u**2/2 - 3*u - 10. Let o be f(3). What is the highest common factor of o and 6? 3 Let i be (-40)/(1/(-10)*2). Let x be 4 + (-4 + 2 - -18). Calculate the highest common factor of x and i. 20 Suppose -2*u + 43 = -5. Suppose -5*f - 34 = -154. Suppose 0*v + f = 3*v. Calculate the greatest common divisor of v and u. 8 Let n = 116 - -8. Suppose 0 = -3*g - 3*d + 96, -3*g + 4*d + n = 2*g. Calculate the highest common factor of 42 and g. 14 Let a(c) = -16*c - 8. Let o be a(-6). What is the highest common factor of 8 and o? 8 Let b = 10 + 4. Let j(d) = d**3 - 4*d**2 + 3. Let u be j(4). Suppose -4*f + 5*h = -28, 3*h - 28 = -u*f - 7. What is the highest common factor of f and b? 7 Let m be (-26)/(-8) - (-1)/(-4). What is the highest common factor of m and 6? 3 Let p(q) = 5*q - q**3 - 14*q - 1 + 16*q + 8*q**2. Suppose -y + 40 = 4*y. Let c be p(y). What is the greatest common factor of 11 and c? 11 Let f(y) = -y**3 + 8*y**2 + 10*y + 10. Let d be f(9). Let k = -25 + 44. Calculate the greatest common divisor of k and d. 19 Let u be (12/5)/(6/75). What is the greatest common factor of u and 75? 15 Suppose 3*j + 2*j = 440. Let m(q) = -q - 6. Let h be m(-6). Let y(s) = -s**2 + s + 11. Let w be y(h). What is the greatest common divisor of j and w? 11 Let d(x) = 6*x**2 + x**2 + 3*x - 3 + x**2. Let o be d(2). Let p = 18 - 11. What is the greatest common factor of p and o? 7 Let r(i) = -i**2 - 9*i + 16. Let g be r(-10). Suppose 2*k + 5*o = 76, -2*k + 5*o + 68 = -k. Calculate the highest common factor of k and g. 6 Let s be (-192)/(-14) + 2/7. Let o(d) = d + 28. Let z be o(0). Suppose -6*r = -2*r - z. What is the highest common divisor of r and s? 7 Suppose -145 = -3*o + 191. Suppose 0 = -4*s + 2*s - 5*g + 18, 2*g = -4. Calculate the greatest common divisor of s and o. 14 Suppose -3*z + 0*z + 4*m = -54, 0 = 3*z - 2*m - 54. What is the highest common factor of z and 198? 18 Suppose 8 = -k + 5*k. Suppose 3*q = -22 - 20. Let j be (q/42)/(2/(-132)). Calculate the greatest common factor of j and k. 2 Suppose 199 = 2*j + c, -j + 4*j - 300 = -3*c. What is the highest common divisor of j and 11? 11 Suppose 0 = 4*d + 5*i - 335, -100 = -3*d + 2*i + 157. What is the greatest common divisor of d and 34? 17 Suppose 0 = -2*z + 7*z - 10. Let y be z/10 - 74/(-5). Calculate the greatest common divisor of y and 75. 15 Suppose 20 = 5*w - 15. Let o be (w - 1)/((-6)/(-4)). Suppose -o = -2*n + 12. Calculate the greatest common divisor of 8 and n. 8 Suppose 3*g = -3*g + 450. Let b be -1 + 0 - (-8)/2. Suppose -b*v - 124 = -3*y - 7*v, 5*v + g = 2*y. What is the greatest common factor of 5 and y? 5 Suppose -2*j - 2*j = -52. Let v = j + -1. What is the greatest common factor of v and 24? 12 Suppose -2*c = 3*q - 7*q + 64, -4*q = c - 76. What is the greatest common factor of q and 126? 18 Let p = 7 + -2. Suppose -3*k = -p*k + 66. Suppose 0*w + 2*w - k = -3*t, -4*t + 48 = 4*w. What is the highest common factor of t and 9? 9 Let y = 140 - 76. Calculate the highest common divisor of 8 and y. 8 Let c(m) be the second derivative of m**3/3 + 5*m**2 - 4*m. Let z be c(7). What is the highest common factor of z and 60? 12 Let r be 2/((2/(-6))/1). Let k be (12/(-14))/(r/420). What is the greatest common divisor of k and 40? 20 Let q = 4 + -3. Calculate the highest common divisor of 1 and q. 1 Suppose 3*m = -4*s + 18, 4*s - 2*s - 16 = -5*m. Let j = m + 2. Calculate the greatest common divisor of 10 and j. 2 Let f be 2/10 + (-81)/(-45). Calculate the highest common factor of 54 and f. 2 Suppose -79 = -3*d + 65. Let t(b) = 4*b + 4. Let k be t(5). What is the greatest common divisor of d and k? 24 Suppose -2*d + 110 = 3*d. Let q = -60 - -117. Suppose o - 31 = q. Calculate the highest common divisor of d and o. 22 Let a(r) = r + 4. Let d be a(-8). Let m be 6/d + (-236)/(-8). Calculate the highest common factor of m and 14. 14 Let a be 10/5 + 0/(-2). Let v be 18*((-16)/(-3) - a). What is the greatest common divisor of v and 12? 12 Let p(c) = 3*c**2 - 3*c + 2. Let g be p(1). Suppose g*s = 269 - 13. Calculate the highest common factor of 16 and s. 16 Let q = -1 + 5. Let d be (-115)/(-10) - 6/q. Let j(r) = -r**3 - 5*r**2 - 2*r - 5. Let c be j(-5). Calculate the highest common factor of d and c. 5 Suppose -1 = -p + 2*m - 3, -2*p = -m + 1. Suppose -2*n = -p*n + 2. Let r(d) = -8*d. Let w be r(n). What is the greatest common factor of w and 4? 4 Suppose 0*h - 3*h - 33 = 0. Let b = -7 + 2. Let s = b - h. What is the highest common divisor of s and 12? 6 Let n = -27 + 41. Suppose n + 2 = 2*q. What is the highest common divisor of q and 4? 4 Let j be -4 + 4 - -1 - (-20)/2. What is the highest common factor of j and 88? 11 Let t(g) = 2*g**3 + g**2 - g + 1. Let p be t(1). Let u(f) = f**2 - f. Let x be u(-1). Let l be (-18)/(-8)*6*x. Calculate the highest common divisor of p and l. 3 Suppose -76 = -6*l + 212. Calculate the greatest common divisor of l and 72. 24 Let i(l) = 4*l**2 - l. Let k be i(1). Suppose -2*m - k*v + 42 = m, v - 4 = 0. Suppose 0*t - 6 = -3*t. Calculate the greatest common divisor of t and m. 2 Let x be 1 + 1 + (2 - -61). Suppose 0 = -3*j + 49 + 29. Calculate the highest common divisor of j and x. 13 Suppose 2*p - 8 = -2*p. Let o be (p - -9*2) + -1. Calculate the greatest common factor of 38 and o. 19 Suppose 3*l - 214 = 6*s - 5*s, -150 = -2*l - 3*s. Let t be 219/12 + 1/(-4). What is the greatest common factor of t and l? 18 Let b(j) = j**3 + 2*j**2 + 4*j - 3. Let o = -3 + 6. Let c be b(o). What is the highest common divisor of 6 and c? 6 Suppose 3*d = -6 + 15. Suppose 0 = -2*y - 0*j - d*j + 73, 3*j - 169 = -5*y. What is the greatest common divisor of 80 and y? 16 Suppose -6*x + 4*x + 148 = 0. What is the highest common divisor of 37 and x? 37 Let c = -82 + 94. Calculate the greatest common divisor of c and 48. 12 Let y be (-10)/1
{ "pile_set_name": "DM Mathematics" }
*3 + 3*r + 6. What is the remainder when u(-3) is divided by 41? 35 Suppose -163 = -4*v - 135. Calculate the remainder when 382 is divided by v. 4 Let d(n) be the first derivative of -n**4/4 - 8*n**3/3 - 3*n**2/2 + 14*n + 77. What is the remainder when d(-9) is divided by 21? 17 Let z = 27057 - 26850. What is the remainder when z is divided by ((-3)/(-2))/(9/114)? 17 Let d be (-2 + 6/4)/((-8)/64). Suppose 0 = d*g - 631 - 853. What is the remainder when g is divided by 62? 61 Let t(u) be the second derivative of u**5/20 - 2*u**4/3 + 27*u**2/2 + 20*u - 4. Calculate the remainder when t(9) is divided by 58. 50 Let l = -14301 - -14312. Calculate the remainder when -2 - (-3 + 1)*94 is divided by l. 10 Calculate the remainder when 1124 is divided by 2/(-15) - 770880/(-3600). 54 Suppose 5*d = -m + 10, d = -m - 2 + 4. Suppose -2*t + 14*t - 192 = m. What is the remainder when 75 is divided by t? 11 Suppose 0 = -10*s + 4*s + 13224. Calculate the remainder when s is divided by 46. 42 Let t = -133 - -196. Let n = t - 64. What is the remainder when ((-10)/8)/(n/(-8)*-1) is divided by 2? 0 Let z = 334 - 228. Suppose 0 = 65*s - 63*s - z. Calculate the remainder when 899 is divided by s. 51 Let f = 22 + -12. Let n = 546 + -314. Let h = n + -194. What is the remainder when h is divided by f? 8 Suppose -3*m = 3*k - 21, 0 = m + 5*k + 68 - 55. Calculate the remainder when 358 is divided by m. 10 Suppose 6*q + 2*l + 35 = q, 4*l = 20. Let t be 156/q*(-4 + 10/4). Suppose 5*y - 5*i = 7*y - t, 4*i = 0. Calculate the remainder when 36 is divided by y. 10 Let q be (-2)/(4*9/6)*-21. Suppose 23 + 187 = q*p. Calculate the remainder when 88 is divided by p. 28 Let y(p) = -p**3 + 19*p**2 - 7*p + 7. Calculate the remainder when y(17) is divided by 27. 7 Suppose -480*p = -5817 - 6163 - 2900. What is the remainder when p is divided by 9? 4 Suppose -117 = 9*b, 4*b - 442 = 3*f - 542. Let t(k) = 2*k**2 - 2*k - 5. What is the remainder when t(-5) is divided by f? 7 Let d be ((-5)/(5/98))/((-14)/(-28)). Let s = d - -204. Calculate the remainder when 182 is divided by s. 6 Let g(t) = -2*t**2 + 36*t - 146. Calculate the remainder when 3034 is divided by g(9). 10 Let g = 1405 - 1113. Calculate the remainder when g is divided by 164. 128 Calculate the remainder when 18*((-785)/12)/((-50)/40) is divided by 118. 116 Let d(w) = -3*w**2 + 70*w + 20. Calculate the remainder when 827 is divided by d(0). 7 Let u = 34 - -29. Let p be (40/(-5))/((-2)/19). Suppose 3*s - 57 = 2*s + 5*t, p = 3*s + 4*t. Calculate the remainder when u is divided by s. 31 Suppose -266*y + 276 = -10364. What is the remainder when 1357 is divided by y? 37 Let y = -5908 - -6122. What is the remainder when y is divided by 48? 22 Suppose 14*d = 13*d - x + 1177, 3*d + 5*x - 3535 = 0. Suppose -d - 1753 = -24*v. What is the remainder when v is divided by 36? 14 Let s(j) = 8*j**2 - 60*j - 181. Calculate the remainder when 294 is divided by s(-3). 10 Let w(f) = f**2 - 45*f - 11. What is the remainder when w(-11) is divided by 21? 17 Let y = 113 + -76. Suppose -34*c + 31*c = -6. Calculate the remainder when (1 + c)/(33/1210) is divided by y. 36 Let i be -2 + (-1 + 0)*(-2 - 14). Suppose -2*a - 4*g + 26 = 0, -6*a + 3*a + i = g. What is the remainder when 130 is divided by 1/a - (-786)/18? 42 Suppose -n - 90 = -19*m + 18*m, -2*n = 2*m - 176. Calculate the remainder when 3559 is divided by m. 88 Let c = -280 - -298. Suppose -c*b + 117 = -1503. What is the remainder when b is divided by 15? 0 Suppose 63*r - 67*r + 5*c = -283, 2*c + 392 = 5*r. Let k = 16 + 28. What is the remainder when r is divided by k? 38 Suppose 26 + 30 = 14*m. Suppose -m*h = h. Suppose -4*z + 103 = 5*u, h = 3*z + 7*u - 2*u - 76. Calculate the remainder when 104 is divided by z. 23 Let l = -1419 - -2315. Let n = l + -872. Calculate the remainder when n is divided by 14. 10 Suppose -3*x - 922 = -5*u + 42, -2*u + 2*x + 388 = 0. Let f(n) = -24*n**2 + 2067*n - 210. Calculate the remainder when u is divided by f(86). 47 Suppose 5*k + 2224 - 5761 = -3*x, 3*x - 3519 = -2*k. Calculate the remainder when x is divided by 9. 8 Suppose 17*l = 19*l - 6. Suppose -255 = -4*z + l*w, w = 2*w + 5. Suppose -u + g + 299 = 0, 2*u = u - 3*g + 299. What is the remainder when u is divided by z? 59 Suppose 4*s - 2*s = 778. Let b = s + -380. What is the remainder when 168 is divided by b? 6 Suppose 22081 = -219*m + 79*m + 111401. Calculate the remainder when m is divided by 52. 14 Let z(j) = 4*j + 9. Let f(n) = -5*n - 11. Let o(x) = 3*f(x) + 4*z(x). What is the remainder when o(6) is divided by 8? 1 Let o be (-44)/55 - (-979)/5. Let l = 227 - o. Calculate the remainder when 188 is divided by l. 28 Suppose 7*l = -7*l + 210. Calculate the remainder when 107 is divided by 41 - (2 - 5)*(-25)/l. 35 Let s(h) = h**2 - 5*h + 10. Let d be s(3). Suppose 5*t = -4*q + 6*q - 45, d*t = -3*q + 79. Calculate the remainder when 74 is divided by q. 24 Let p(c) = -2*c**3 - 21*c**2 - 30*c - 1. Suppose -3*l - 5 = -4*l. Suppose l*m - 10*m = -360. What is the remainder when m is divided by p(-9)? 20 Suppose 0 = 6*i + 116 - 638. Calculate the remainder when i is divided by 79. 8 Let w(s) = -43 + 14*s - 7*s**2 - 2*s**2 + 10*s**2. Calculate the remainder when 24 - (2 + 3/(-3)) is divided by w(-17). 7 Let i be ((-240)/(-140))/((-3)/(-35)). Suppose 0 = -5*b - i*b + 975. Calculate the remainder when b is divided by 7. 4 Calculate the remainder when 653 is divided by 62 - (1 - -5 - 21). 37 Let t(b) = -449*b - 421. Calculate the remainder when 7418 is divided by t(-1). 26 Let x(l) = -l**2 - 2 - 2*l - l**2 - 26*l**3 + 1. Calculate the remainder when x(-1) is divided by 2*((-5)/10 - 2)*2224/(-695). 9 Suppose f = 3*f - 4. Let u(j) = j + 0*j**2 + 4*j**f + 0*j**2 - 5*j**2 + 17. Calculate the remainder when 6 is divided by u(4). 1 Suppose 490 = 27*i + 166. What is the remainder when 347 is divided by i? 11 Let i(l) = 18*l**2 + 25*l - 30. Calculate the remainder when i(4) is divided by 30. 28 Suppose -2 = -3*d + 4*k, 0*k - k = -4. What is the remainder when (-3)/(d/(-80)) - -4 is divided by ((-8)/(-3))/((-2)/(-15))? 4 Let y(d) = -d**2 + 6*d + 2. Let v be y(10). Let b = v + 41. Let s = b - -15. Calculate the remainder when s is divided by 7. 4 Suppose -3*c - 20 = -5*n, 5*n + 4*c + 8 = 9*n. Calculate the remainder when 516 is divided by n. 5 Suppose -246*p + 251*p + 45 = 0. Calculate the remainder when 122 - (12 + p + (-8)/2) is divided by 18. 15 Suppose -o - 935 = -4*b, 3*o - 291 = -2*b + 194. Let z = -187 + b. Let h(r) = r**3 + 6*r**2 - r - 5. What is the remainder when z is divided by h(-5)? 23 Suppose -9*l + 505 = -242. Let z = -81 + l. Suppose -z*k = 7*k - 405. Calculate the remainder when 177 is divided by k. 42 Let t be (93/62)/(-3 - (-63)/22). Let u = 27 + -16. Let i = u - t. Calculate the remainder when i is divided by 12. 10 Let h(g) = 2*g**3 + 197*g**2 - 92*g + 713. Let u(f) = 98*f. What is the remainder when u(2) is divided by h(-99)? 16 Suppose 42*b + 163 = -104 + 1233. Suppose 5*n = 31 - 6. Suppose -4*x - 18 = -5*x - 4*u, -n*u = -2*x - 3. Calculate the remainder when b is divided by x. 5 Let q(h) = 3*h**2 - 25*h - 8. Let x be q(-5). Let d = 255 - x. What is the remainder when d is divided by 11? 8 Suppose -34 - 136 = -5*v. Let p(z) = -19*z - 299. Let l be p(-26). Suppose -3*w + 2*o = -l, 5*w - 338 = 6*o - 7*o. What is the remainder when w is divided by v? 33 Suppose -h - 4*u - 556 = -5*h, 0 = -h - 2*u + 124. Let s = 141 - h. Suppose -29 = 6*x - s*x. Calculate the remainder when x is divided by 15. 14 Let h be 20/4 - (541 - 6). Let a = 556 + h. What is the remainder when 438 is divided by a? 22 Let m(d) = -d + 13. Let f = -39 - -49. Let u be m(f). Suppose -20 - 160 = -2*c + 4*o, o = -u*c + 305. Calculate the remainder when c is divided by 34. 32 What is the remainder when 41 is divided by ((-91)/49)/(-13) - (-544)/14? 2 Suppose 148 = -170*j + 172*j - 5*z, 4*j + z - 274 = 0. Calculate the remainder when 1377 is divided by j. 66 Suppose 6*y = 4*y - 24. Calculate the remainder when ((-2263)/(-17) - 2) + y/102 is divided by 17. 12 Suppose -10*z = -5*z + 4*x - 56, -3*x = -4*z + 20. Calculate the remainder when 436 is divided by (-114)/(-2) - (z - (5 - -1)). 51 Suppose 273 = 3*s + o - 40, -5*s = -o - 527. What is the
{ "pile_set_name": "DM Mathematics" }
c**3 + 3*c**3 - 2*c**3) + (0*c**3 - 2*c**3 + 4*c**3)*(64*c + 49*c - 89*c) - c**4 - 8*c**2 + 8*c**2. 46*c**4 Expand (r - 3*r + 0*r)*(3 - 6 + 1) + (-140*r - 193*r + 64*r)*(0 + 4 - 3) + (-1 + r + 1)*(1 - 4 - 1). -269*r Expand -3*o + 2*o - 3*o**2 + o**2 + 2*o**2 + 3*o**2 + 0*o**2 + (o - o + o**2)*(-1 - 3 + 0) + (-4 + 1 + 4)*(7*o**2 - o**2 + 0*o**2) - 2*o**2 + 6 - 6. 3*o**2 - o Expand -15268*i**3 + 588*i**5 + 15268*i**3 - 3*i**5 + 5*i**3 - 5*i**3 + (-2*i**3 + 2*i**5 + 2*i**3)*(0 + 5 - 4). 587*i**5 Expand (r - r + 2*r)*(-39 + 21 + 9*r + 7*r). 32*r**2 - 36*r Expand (r**3 + 0*r**3 - 2*r**3)*(12559*r + 12575*r - 21 - 25159*r). 25*r**4 + 21*r**3 Expand (-260*u + 260*u + 3*u**3)*(266 - 78 - 106 + 457 + u + 75). 3*u**4 + 1842*u**3 Expand (-1457 - 1493 + 825)*(1 - 4 + 2)*(-5*v + 0*v + 4*v). -2125*v Expand (0*b + 2*b + 0*b)*(b + b - b)*(1944 + 1501 - 2564). 1762*b**2 Expand (-17*q - 18*q + 39*q - 2 + 3*q**2)*(2*q - 17*q + q). -42*q**3 - 56*q**2 + 28*q Expand (-955 + 47*d + 955)*(-4*d + 4 - 4)*(-1 - 5 + 5)*(3*d + d - 2*d). 376*d**3 Expand (-15 - 91*m - 9 + 24)*(-28*m + 4*m - 19*m). 3913*m**2 Expand (1 - 15 + 2)*(0*h**4 - 4*h**4 + 6*h**4)*(0*h + 4 + 10*h - 6). -240*h**5 + 48*h**4 Expand (-4273 + 4*x + 4247 - 2*x)*(2*x - 4*x + 3*x). 2*x**2 - 26*x Expand (4*u**2 + 40*u + 7 - 15*u - 27*u)*(10*u**2 + 3*u**2 - 6*u**2). 28*u**4 - 14*u**3 + 49*u**2 Expand (-s**3 - 6*s**3 + 0*s**3 + (-3*s + 7*s**2 + 3*s)*(-4*s + 2*s - s))*(16 - 16 - 6*s + 2*s - s + s + (0 + 4 - 5)*(-3*s + 0*s + s)). 56*s**4 Expand (-418 + 144*o + 418)*(-o - 2*o - o)*(6*o**3 - 2*o**3 - 2*o**3). -1152*o**5 Expand ((1 + 0 - 2)*(-2 - 2 + 2) + (0 + 5 - 3)*(-1 - 5 + 1))*(-20 - 12 + 8)*(0*z - z - 2*z). -576*z Expand (-13*u**3 + 6*u**3 + 19*u**3)*(0*u - 2*u + 3*u)*((0 + 1 + 1)*(1 - 1 - u) - 6*u - 4*u + 11*u). -12*u**5 Expand (d - 3*d + 8*d)*(-d - 2*d + 4*d)*((0*d + 4*d - 3*d)*(-2 + 6 - 3) - 588*d + 2*d - 284*d). -5214*d**3 Expand (209 - 420 + 862*h**3 + 1403*h**3 + 211)*(3 - 7 + 11)*(4 + 0 - 3). 15855*h**3 Expand 97*v**3 + 50*v**3 + 27*v**3 + (-1 + 0 - 1)*(-2*v**3 + 3*v**3 + 0*v**3) + v**3 + 3*v**3 - v**3 - v**3 + 4*v**3 + 0*v**3. 178*v**3 Expand (-5*z**3 + 4*z**3 + 5*z**3)*(3*z**2 - 5*z**2 + z**2 - 1485*z**2 + 2972*z**2 - 1520*z**2 + (1 - 1 - 2*z)*(-2 + 2 + z)). -144*z**5 Expand (-v + 3*v - v)*(-11 + 27 + 177). 193*v Expand (17375*l - 16388 + 16388)*((-3 + 0 + 2)*(2 - 2 - 2) + 1 - 7 + 4 + 3 + 1 - 5) + (0 + 3 - 5)*(l + l - l). -17377*l Expand -7*r + 4*r + 7*r + (-1 - 3 + 3)*(2*r + 1 - 1) + 28*r - r + 2*r. 31*r Expand ((3 + 3 - 4)*(-2 + 1 + 2) - 2 - 2 + 1)*(-1 + 0 + 3)*(-118*g + 118*g + 6*g**2)*(2*g + 0*g + 0*g). -24*g**3 Expand (2 + 2 - 2389*u - 4 + 1170*u)*(0 + 3 - 1). -2438*u Expand -1 + 1 + m**2 + 2*m**2 - 2*m**2 - 2*m**2 + (-m + m + 2*m)*(0 + 0 - 2*m) + 75*m**2 + 1236*m - 1236*m. 70*m**2 Expand (-3 - 3 + 4)*(14*d**4 + 37*d**4 + 38*d**4) - 73*d**4 + 3*d**4 - 17*d**4. -265*d**4 Expand (-3*v + 5*v - 4*v + 3*v - 2*v + 0*v + (-2 + 2 + 2*v)*(4 - 1 - 1) + 2*v + 1 - 1 + 4*v - 4*v + 2*v + 1503 + 148*v - 1503)*(-5 + 5 + 24*v**2). 3720*v**3 Expand (-404 - 123*h - 437 + 842)*(-8*h**4 - 19 + 19). 984*h**5 - 8*h**4 Expand (-3*v - 211 + 451 - 205)*(6*v + v - 2*v). -15*v**2 + 175*v Expand 97 + j**3 - 182 + 97 + 8*j**2 + (4 - 4 + 2*j**2)*(-j - 3*j - 2*j). -11*j**3 + 8*j**2 + 12 Expand -4*l**4 + 2*l**4 - 10*l**4 + (10 - 10 + 6*l)*(4 - l**3 - 4) - 2*l**4 - 6*l**4 + 0*l**4 + l**4 + l**4 - l**4 + l**4 + 0*l**4 - 2*l**4. -26*l**4 Expand (215 + 13 + 343)*(-3*m**2 + 3*m**2 - m**2)*(10 + 6 - 1). -8565*m**2 Expand 325*t**4 - 11*t**2 + 323*t**4 - 650*t**4 + (t**3 + 0*t**3 + t**3)*(t - 2*t - t) + 0 + 0 - t**4 + 2*t**4 - 2*t**4 + 2*t**4 + 8*t**2 - 6*t**4 - 8*t**2. -11*t**4 - 11*t**2 Expand (-36*a**2 + 11*a**2 - 19*a**2)*(39*a - 1561 + 1561 + (-4 + 1 + 4)*(2*a + a - 2*a)). -1760*a**3 Expand (2*c - 3*c + 2*c)*(2 - 1 + 0) + 12*c + 3*c + 16*c - 71*c - 314 + 314. -39*c Expand ((1 + 3 - 2)*(2*s - s + 0*s) + 2 - 4*s - 2)*(-380 - 501 - 492 - 132)*(5 + 6 - 7). 12040*s Expand (-550*i + 2701*i + 3254*i)*(4*i - 4*i - i**2). -5405*i**3 Expand (-136 + 136 - 42*v**2)*(-98*v + 68*v - 77*v). 4494*v**3 Expand (3*b - 3*b + b**2)*((221*b**2 + 261*b**2 - 600*b**2)*(-15*b + 11*b + 11*b) + 0*b**2 + 0*b**2 + 2*b**3) - 3*b**5 + 3*b**5 + b**5. -823*b**5 Expand ((3 - 1 + 0)*(2*m + 3*m - 4*m) + 2*m - 2*m - m)*(-1625*m + 961*m + 839*m). 175*m**2 Expand (-4*h + 0*h + 0*h)*(-328 + 615 - 447)*(3*h - 5*h + 6*h). 2560*h**2 Expand (f + 1 + 2 - 1)*(f**2 + f**2 + 172 - 180). 2*f**3 + 4*f**2 - 8*f - 16 Expand 240*v - 1214*v**3 + 606*v**3 + 606*v**3 + (14*v + 19 - 19)*(-3*v**2 + v - v). -44*v**3 + 240*v Expand 2*o**3 + 3*o**3 - 3*o**3 + (398*o**3 + 83*o**3 + 2083*o**3)*(1 + 3 - 5). -2562*o**3 Expand -4*t**3 + 3*t**5 + 8*t**3 - 3*t**3 + (-3*t**2 + 3*t**2 + 2*t**3)*(221*t**2 - 295*t**2 - 479*t**2). -1103*t**5 + t**3 Expand (-14 + 14 + 13*p**3)*(2 - 1 + 7)*(30 + 5*p - 30). 520*p**4 Expand (-3 + 4 - 4)*(-392*r**4 - 635*r**4 - 3490*r**4) - 4*r**4 + r**4 + 2*r**4 + (2*r**3 + 3*r**2 - 3*r**2)*(-5*r - 3*r + 6*r) - 3*r**4 + 2*r**4 - r**4. 13544*r**4 Expand (p - 6*p + 3*p)*(6 + 7 + 6 - 4) - 107*p - 129*p + 204*p. -62*p Expand ((84*m + 70*m - 44*m)*(-2 + 1 + 2) + 12*m + 4*m - 6*m)*(0 - 3 + 5)*(-3*m + 5*m - m). 240*m**2 Expand (553 - 553 + 37*m)*((2 - 2 - 2)*(-4 - 2 + 5) - 11 + 3 - 1 + (-5 - 2 + 5)*(-1 + 1 + 1))*(-4 + 5 + 2*m**2 + 4*m**2). -1998*m**3 - 333*m Expand -149*c**4 + 158 - 158 + (-6*c**2 + c**2 + 3*c**2)*(19 - 19 + 3*c**2) - 2*c**3 - c**4 + 2*c**3. -156*c**4 Expand -41*u**3 - 24*u**3 + 56*u**3 + (-u - 2 + 2)*(-4 + 1 - 2)*(-3*u**2 + 6*u**2 - u**2). u**3 Expand (2*g - 3*g + 3*g)*(-124 - 92 - 21) - 3*g - 4*g + 5*g + (-4 - 1 + 4)*(-2 + 2 + g) + 0 - g + 0. -478*g Expand (5*j - 3*j - j)*(2*j + 3757 + 5218 - 5944)*(-2 - 3 + 2). -6*j**2 - 9093*j Expand (502*f**3 - 365*f**3 - 4135*f**3)*(2*f**2 + 0*f**2 - f**2). -3998*f**5 Expand (-2*x + 2*x + x**2)*(1 + 2*x - 1)*(-40 + 10 - 602). -1264*x**3 Expand (5*o - 2*o + 0*o)*(37*o + 258*o - 544*o - 635*o). -2652*o**2 Expand -4*a**5 + 6*a**5 - 3*a**5 - a + a - 2*a**5 + (-2*a**3 + a**3 - a**3)*(2*a + 2*a**2 - 2*a) + 104*a**5 - 17*a**5 + 66*a**5. 146*a**5 Expand (-37*z**5 - 1 - 1 + 43*z**5)*(0 + 4 - 1)*(24 + 24 + 41)*(2 + 0 - 3). -1602*z**5 + 534 Expand l - l - 9*l + (8 - 5 + 7)*(0*l - 2*l + l) - 2*l + 3*l + 0*l. -18*l Expand (r - r - 2*r**3)*(6*r**2 + 0*r**2 - 3*r**2) + r**5 - r**5 - r**5 - 2121*r**5 - 177*r**5 - 366*r**5. -2671*r**5 Expand 2*j**3 - 2*j**3 + 2*j**4 + (j**2 - 1 + 1)*(0*j + 0*j - j**2) + 65*j**4 + 14*j**4 - 191*j**4 + (-1 + 1 + j)*(-2*j + 2*j + 3*j**3). -108*j**4 Expand (3*t - 4*t + 3*t)*(-3*t + 7*t - 2*t) + (0 + 5*t + 0)*(4 - 4 + 2)*(2*t + t - 2*t + (0 + 1 + 0)*(4*t - t - t) + 401 - 809 + 409 + 701*t). 7044*t**2 + 10*t Expand (-o**2 - 30*o**2 + o - 7*o**2)*(-2*o - 11*o + 2*o**2 - 10*o). -76*o**4 + 876*o**3 - 23*o**2 Expand (770 - 420 - 281 + 5985)*(2 - 2 + 4*h). 24216*h Expand (4*f**2 + f**2 - 3*f**2)*(-433015*f + 433015*f - 618*f**2). -1236*f**4 Expand (2 + 1 - 4)*(-4 - 2 + 4)*(7160*k**2 + 4254 - 4254). 14320*k**2 Expand (20 + 14 - 54)*(2 - 4 - d**2 + d + 2*d**2)*(0*d**3 - 2*d**3 - 7*d**3). 180*d**5 + 180*d**4 - 360*d**3 Expand (3*t**3 - t**3 - t**3)*(26*t - 10*t - 6*t)*(2 + 14 + 70). 860*t**4 Expand (3*d - 4*d - d)*(0*d - d + 2*d) + (-2*d - 2*d + 2*d)*(d + d - 3*d) + 1 + 2*d**2 - 1 + (-98*d**2 + 19*d**2 - 70*d**2)*(0 + 1 - 2). 151*d**2 Expand (-54*h**2 + 52*h**2 + 5*h + 8*h)*((-1 + 0 - 1)*(4 + 1 - 3) - 4 + 4 - 7). 22*h**2 - 143*h Expand -57*l**5 + 150*l**3 - 150*l**3 + (-2*l - 7 + 7)*(-2*l**4 + 3*l**4 + l**4) - 2*l**5 + 2*l**5 + l**5 - l**5 + 4*l**5 - 4*l**5. -61*l**5 Expand -b**3 + 2*b**2 - 2*b**2 + (-3*b + 4*b - 3*b)*(2*b**2 - 2*b**2 - 2*b**2) - 3*b**3 + 3*b**3 - 2*b**3 - 4*b + 4*b**2 - 994 - 45*b**3 + 43*b**3 + 996. -b**3 + 4*b**2 - 4*b + 2 Expand -k**2 - 764*k + 764*k + 17*k**3 - 5*k**3 - 2*k**3 - 4*k**3 + (-4*k - 2*k**2 + 4*k)*(-4*k + k + 4*k). 4*k**3 - k**2 Expand (-j - 2*j + 2*j)*(1858*j + 383918 - 383918)*(0 - 1 - 1). 3716*j**2 Expand (-2006 - 349 + 4939*n - 4941*n)*(-6 + 3 + 4). -2*n - 2355 Expand (-1 + 2 - 3)*(s + 2 - 2)*(-559 + 222 - 337)*(-3*s - 2*s**2 + 2*s**4 + 3*s). 2696*s**5 - 2696*s**3 Expand 356*x**2 - 356*x**2 + 35*x**3 + (0 - 2*x**2 + 0)*(-2*x + 7*x + 0*x)*(3 + 0 - 1). 15*x**3 Expand ((-y + 3*y + 0*y
{ "pile_set_name": "DM Mathematics" }
n. List the prime factors of 154/k + 3/9. 2, 13 Let m(b) = -3*b - 7. Let h be m(-4). Suppose -5*q + 4*q = -h*s + 20, -s = -5*q - 4. Suppose q = -3*k + 74 + 142. What are the prime factors of k? 2, 3 Let p(r) = 6*r**3 - 2*r**2 + 2*r - 1. Let x be p(1). Suppose -15 = x*i, 5*m - 2*i = -i + 183. List the prime factors of m. 2, 3 Suppose -f + 258 = -834. List the prime factors of f. 2, 3, 7, 13 Let k be ((-5 - -5) + 1)*313. Suppose -m = 2*i - k, 3*i = -2*i + 2*m + 778. What are the prime factors of i? 2, 3, 13 Let c = 33 - 34. What are the prime factors of 522/(-72)*(-7 + c)? 2, 29 Let p = -44 + 33. Let t(g) = -g**3 - 11*g**2 - 4*g + 36. List the prime factors of t(p). 2, 5 Let n be 4 + -2 + 20 + -4. Let b(p) = p**2 + 4*p + 2. Let w be b(-4). Suppose -w*j + n + 28 = 0. What are the prime factors of j? 23 Let t(q) = 116*q**2 - 86*q - 271. List the prime factors of t(-3). 1031 Suppose -5*l = -2*r + 1647, -r + 254 = -l - 562. List the prime factors of r. 811 Let j be 4 + 267/(-6)*-2. Let g = 134 - j. What are the prime factors of g? 41 Suppose 0 = -3*c - 5*s + 2*s - 126, -2*c + 2*s - 72 = 0. Let v = -12 - c. Suppose -v = 2*y - 3*y. What are the prime factors of y? 3 Suppose -2*n + 5*v - 1 = 0, n + 2 = -v + 19. Suppose 3*a + n = -0*a, -2*a - 8 = 5*b. Suppose b = -2*k - k + 9. List the prime factors of k. 3 Let l(f) = -f**3 + 9*f**2 + 16*f + 14. Let s be l(10). Suppose -s*n = -78*n + 904. List the prime factors of n. 2, 113 Suppose 4*o + 5 = 13. List the prime factors of 3115/25 - (-6)/(-10) - o. 2, 61 Suppose 2*h = h + 16. Suppose 0 = -4*a - h, 2*x - 74 = 3*a + 18. What are the prime factors of 224/x + (-3)/5? 5 Let y(u) = 3*u**2 + 6*u + 16. Let n(d) = 2*d**2 + 5*d + 15. Let q(x) = -6*n(x) + 5*y(x). List the prime factors of q(5). 5, 13 Let d be (-146)/(-12) + 6/(-36). Let i(y) = -9 - y**3 - y**3 - 10*y**2 - d*y + y**3. List the prime factors of i(-9). 2, 3 Let n = -99 + 102. Suppose n*o = 10*o - 1680. List the prime factors of o. 2, 3, 5 Suppose g - 45 = 58. Suppose 5*w - g = p + p, -3*w - 5*p = -68. List the prime factors of 7/w + (-82)/(-6). 2, 7 Suppose 5*n - 19009 = -3*o, -n - o + 3000 + 801 = 0. What are the prime factors of n? 3803 Let k(w) = 4*w + w + w**2 - 4 - 9*w. What are the prime factors of k(15)? 7, 23 Suppose -23*j = -9606 - 8610. What are the prime factors of j? 2, 3, 11 Suppose -10*n + 9*n = 19. Let z be 1 + 3/(9/(-51)). Let m = z - n. List the prime factors of m. 3 Let v(m) = -m**2 - 24*m. Let f be v(-12). Suppose -4*o - 2*c = -126, 5*o - 2*c - f = -0*c. What are the prime factors of o? 2, 3, 5 Suppose -11*f = -3*f - 3800. Suppose -30*y - f = -35*y. List the prime factors of y. 5, 19 Let w(d) = -d**3 - 16*d**2 - 16*d - 18. Let i be w(-15). List the prime factors of (-2)/i - (-488)/6. 2, 41 Let u(m) = -m + 13. Let c be u(9). Let o(r) = 2*r**3 - 2*r**2 + 5*r. List the prime factors of o(c). 2, 29 Let r(v) = v**2 - v - 1. Let z(y) = y**3 - 7*y**2 + 5*y + 7. Let g(k) = 4*r(k) - z(k). Let m be g(10). Let x = m + 37. What are the prime factors of x? 2, 3 Let l(t) = -t**2 - 2*t + 2. Let d be l(-2). Suppose -4*a - 24 = 5*p, -d*a + p - 24 = 2*a. Let n = 23 + a. What are the prime factors of n? 17 Let q(s) = -7*s + 6. Let j(f) = -f**3 - 10*f**2 - 9*f - 6. Let k be j(-9). Let v be (-1)/2 + 39/k. List the prime factors of q(v). 5, 11 Let f(u) = 53*u - 6. Let t be f(-3). Let y = t + 275. What are the prime factors of y? 2, 5, 11 Let k = -6 + 117. List the prime factors of k. 3, 37 What are the prime factors of (-7190)/20*(3 + 15/(-3))? 719 Suppose -134 = -2*j + 464. List the prime factors of j. 13, 23 Let t(r) = -r**3 + 16*r**2 + r - 12. Let g be t(16). Suppose -3*z - w = -3*w - 22, 0 = -5*z - g*w + 66. Let b(a) = 3*a - 14. What are the prime factors of b(z)? 2 Let c = 4490 + -2676. List the prime factors of c. 2, 907 What are the prime factors of 1535 + -3*30/(-18)*-1? 2, 3, 5, 17 Suppose 2*b + 1460 = 414. Let i = b - -819. What are the prime factors of i? 2, 37 Let t be (-316)/(-16) - 1/(-4). Suppose -3*c = c - t. Suppose -4*l + 2*a + 80 = 0, c*l + 2*a - 3*a = 100. List the prime factors of l. 2, 5 List the prime factors of (106/10)/(55/825). 3, 53 Let k = 101 - 98. Suppose 4*c + 3*l = 27, 0*c - l = -5*c + 10. Suppose -45 = -2*t + y, t + c*t - k*y - 87 = 0. List the prime factors of t. 2, 3 Let y = -107 - -106. Let g(l) = -155*l + 3. What are the prime factors of g(y)? 2, 79 Let o(m) = -35*m - 2. Let v be o(-1). Suppose -4*l + 5*h + 51 = 0, 3*l - l = -5*h + v. List the prime factors of l. 2, 7 Let b = -27 - -35. Suppose -b*x + 415 = -129. What are the prime factors of x? 2, 17 Suppose 3*r - 4*r + a + 2 = 0, 0 = 2*a - 2. Suppose -5*h = -5*n - 150, 2*h - 88 = r*n - 0*n. Let j = n + 50. What are the prime factors of j? 2, 11 Let y be (10/(-5))/1 - (-1 - 0). What are the prime factors of (1/y)/((-4)/244)? 61 Suppose -24*q = -49*q + 62200. What are the prime factors of q? 2, 311 Suppose -15*r = -9*r - 948. What are the prime factors of r? 2, 79 Suppose 2*a + 232 = 4*u, 192 + 108 = 5*u - 5*a. Let o be (-26)/(-7) + 16/u. Suppose -2*d - 1 = -o*d - 5*h, 2*d - 13 = -h. List the prime factors of d. 2 Let h(g) = -g**2 + 32*g + 32. Let y be h(33). What are the prime factors of ((-285)/(-30))/(y/(-12))? 2, 3, 19 Let u(s) = s**2 + 12*s + 17. Let p be u(-7). What are the prime factors of (1/(p/1236))/(4/(-6))? 103 Let a = -6 + 12. Let q(d) = -1 + 3*d + d - a*d. What are the prime factors of q(-7)? 13 Let o = -1161 + 1860. What are the prime factors of o? 3, 233 Let p = -860 - -1895. List the prime factors of p. 3, 5, 23 Suppose 2*s = -0*s - 3*s. Suppose 2*d + 3*d - 505 = s. What are the prime factors of d? 101 Suppose 2*w = -b + 277, 540 + 4 = 4*w + 4*b. List the prime factors of w. 3, 47 Let p be (3/6)/(2/(-268)). Let h(k) = k**2 - 13*k + 11. Let s be h(5). Let d = s - p. List the prime factors of d. 2, 19 Let w(b) = -b - 6. Let a(c) = c + 7. Let n(p) = 5*a(p) + 6*w(p). Let l be n(-3). Suppose -l*o = 5*s - 4, -3*o + 2*s + 19 = -25. List the prime factors of o. 2, 3 Suppose 3*t - 4 = 68. What are the prime factors of 8/t - 161/(-3)? 2, 3 Suppose 0 = -5*f + 20, 493 = -0*u + u - f. What are the prime factors of u? 7, 71 Suppose 31 = -w + 5*l - 0*l, 3*l - 12 = 0. Let z = w - -33. What are the prime factors of z? 2, 11 Suppose 0 = -9*o + 3096 + 2799. What are the prime factors of o? 5, 131 Suppose 2*b = -2*c + 346, 0*b = 5*c - 4*b - 829. What are the prime factors of c? 13 Let x be 1*(-6)/(-4 + 2). Let t be x*(240/9)/5. Suppose t = 6*m - 4*m. List the prime factors of m. 2 Suppose 3*z - 1529 = -542. What are the prime factors of z? 7, 47 Let y be -10*(2 - (-28)/(-8))/3. Suppose y*s = 214 - 34. What are the prime factors of s? 2, 3 Let h = -17 - 7. Let b = h + 29. What are the prime factors of b? 5 Let m(l) = -45*l - 91. What are the prime factors of m(-18)? 719 List the prime factors of ((-652)/(2/(-2)))/(8 + -6). 2, 163 List the prime factors of ((-14)/6)/(5880/1962 - 3). 7, 109 Let t = -164 - -284. Suppose -h - 237 = -3*h + 3*x, -h + 3*x + t = 0. List the prime factors of h. 3, 13 What are the prime factors of 11660/8 - ((-8)/(-16) - 1)? 2, 3 Let a be (-5 + -32)/((-3)/57). Suppose 437 + a = 5*j. List the prime factors of j. 2, 3, 19 Let a(q) = q + 2. Let o be a(-3). Let c be 120/9 + o/3. Suppose 3*f - 4*r - 18 = 0, -2*f + c = -3*f - 5*r. What are the prime factors of f? 2 Let v(r) = 16*r**2 - 4*r. Let n(x) = 3*x - 8. Let d be n(2). List the prime factors of v(d). 2, 3 Suppose 11*q = -20*q + 6572. List the prime factors of q. 2, 53 Let k(u) = 2*u**3 + 14*u**2 - 7*u + 19. What are the prime factors of k(10)? 17, 197 Suppose -3*z + 185 = 2*o, -11*z = 3*o - 9*z - 290. Suppose 2*u = l + o, -u = -5*l - 57 + 7. List the prime factors of u. 2, 5 Let g = 272 + -14. What are the prime factors of g? 2, 3, 43 Let r = 8 - 6. Suppose r = -t, 0*a - 3*a = -3*t - 144. Let h = a + -18. List the prime factors of h. 2, 7 Suppose 2*g = -3*g - 5. Let c(r) be the third derivative of 9*r**5/10 - r**4/12 - r**3/3 - 9*r**2 + 1. List the prime factors of c(g). 2, 3 Let t(c) = -36*c + 134. What are the prime factors of t(-12)? 2, 283 Let k(b) = b**3 - 6*b**2 + 7*b + 6. List the prime factors of k(6). 2, 3 Suppose -5*h - 17 - 6 = t, 6 = -2*t - 2*h. List the prime factors of 41 - 4/t*-
{ "pile_set_name": "DM Mathematics" }
2 = -2*x + 59 for c. -5 Solve 2*s - 3*b + 3 = 0, 1467 = -5*b + 1462 for s. -3 Solve 0*q - 10*q - u = 36, 2*u - 8 = 0 for q. -4 Solve 5*u + 50 = 2*h + 31, 0 = u + 5 for h. -3 Solve 0 = -12*p - 4*r - 19 - 1, p - r + 3 = 0 for p. -2 Solve 0 = -22*x + 17*x - 3*y + 32, 0 = 4*x + 2*y - 22 for x. 1 Solve 9 = 2*x - p, -100*x = -105*x - p + 21 + 5 for x. 5 Solve 0 = -3*o - 3*f - 36 + 57, 5*o = 41*f - 471 for o. -4 Solve 985*p + 3*s + 13 = 983*p, -4*s = 5*p + 29 for p. -5 Solve -3*l = -5*z - 39, 6*l = z - 29 + 26 for z. -9 Solve 102 = -2*o - 4*k, 20 = 5*o - 8*k - 211 for o. 3 Solve 0 = 4*u + 5*d - 29, -10174*u = -10179*u + d for u. 1 Solve 2*s + 10 = 4*s + l, 0*s + 5*s = -l + 25 for s. 5 Solve 2*z - 8 = 0, -3*z - 9 = -2*m - 35 for m. -7 Solve -4*r + 3751*l = 3752*l - 18, 6*l + 17 = r for r. 5 Solve 5*v = -4*u + 26 + 6, 2*u - 16 = -v for u. 8 Solve -5*k = -h + 9, -22*k + 12 = -26*k for h. -6 Solve -q = 3*u - 6, -545*u + 547*u - 9 = q for q. -3 Solve -9 = -5*a - z, -3*a + 9*z = -a + 34 for a. 1 Solve -647*d + 22 = 5*q - 648*d, 5*d = 4*q - 47 for q. 3 Solve 0 = 3*l + x - 2, -3*x + 2*x - 6 = -5*l for l. 1 Solve 3*d - 11641*a = -11645*a - 16, -3*d - 8 = -4*a for d. -4 Solve -2*x + 5*x + 1 = 8*x - 3*a, 3*a = 9 for x. 2 Solve 10*b + 512 = 472, -b = 5*w + 29 for w. -5 Solve 3*n + 35 = -2*h, 0 = 6*n - 939*h + 942*h + 69 for n. -11 Solve 0 = -5*d - 5*o - 60, 172*d - 12 = 168*d + 2*o for d. -2 Solve 11403*i + 26 = 2*l + 11399*i, 4*i + 5 = -l for l. 7 Solve -5*x + 30 = 0, -3*t = 4*x - x - 21 for t. 1 Solve -2*a = 4*g, -2*a - 9*g + 4*g - 1 = 0 for a. 2 Solve -j - w + 1 = 0, 426*j + 3*w - 1 = -418*j + 842*j for j. 2 Solve 3*n = -3*k + 7*n - 38, -2*n + 22 = -3*k for k. -2 Solve 0 = -4*m - 3*v - 17, 2624*m + 13 = 2620*m - 10*v + 3*v for m. -5 Solve -3*q + 2*h - 25 = 0, -5*h + 40 - 15 = 0 for q. -5 Solve -9*q + b + 8 = 100, q + b + 8 = 0 for q. -10 Solve -h + 44 = -5*l, 0 = -3*l - 1747 + 1738 for h. 29 Solve -5*c + 5*p - 50 = 0, -32 = 147*p - 73*p - 78*p for c. -2 Solve 153*q - 2*h - 50 = 149*q, 10*q = 3*h + 95 for q. 5 Solve -16 = -2*t - q, -5*t + 14 = q - 20 for t. 6 Solve -r + 5*s = 9 - 44, 24*r = -2*s - 14 for r. 0 Solve 0 = 6*b - 4*b + 10, 3*p - 9*b - 31 = p - 2*b for p. -2 Solve -a = -25*h + 20*h - 7, -5*h - 1 = 2*a for h. -1 Solve 21*x - 22*x = -27*c - 165, 33 = -4*c + 3*x for c. -6 Solve -18 = -5*h - 4*a, -12 = -1585*h + 1583*h - 4*a for h. 2 Solve -1203*f + 3*m = -1205*f - 19, 4*f = -2*m - 18 for f. -2 Solve 2*b = -u - 85 + 93, 2*u = -3*b + 13 for b. 3 Solve 50 = -5*u - 5*d, -145*u + 143*u + 104 = -2*d + 76 for u. 2 Solve -4*n + 8 = -4*f, f + 63716 = -4*n + 63724 for f. 0 Solve -24 = 4*h, 5*o + h - 263 = -259 for o. 2 Solve 94*g - 99*g + 4*z = 2*z - 25, 3*z = -5*g for g. 3 Solve 9 = 9*l - 3*m - 9, -5*l = 2*m - 32 for l. 4 Solve 3*t - 7430*x + 7431*x = -9, 0 = x for t. -3 Solve -4*t - 4*w = -12, -t + 2*w + 456 = 453 for t. 3 Solve 122*w - h = 123*w + 10, 22 = -4*w - 2*h for w. -1 Solve -2*r + 388 = 2*w + 402, -w - 3*r - 11 = 0 for w. -5 Solve -375*j + 374*j = -a + 11, -71 = -4*a - 5*j for a. 14 Solve -2528*q + 2526*q + 18 = 5*v, -5*q + 22 = v for q. 4 Solve -3*y = -15, -d + 5424*y = 5429*y - 30 for d. 5 Solve -4*y = s - 1, 8*s - s - y + 138 = 0 for s. -19 Solve 2*m + 7 = -u, 4*m - 136143 = -u - 136144 for m. 3 Solve -2465*d + 2462*d = 3*o - 12, 4*o - 2*d = 40 for o. 8 Solve -r - p = p + 6, 17*r - 18*r = 4*p + 8 for r. -4 Solve 679*r - 677*r = -3*p + 2, 0 = -2*p + r - 8 for p. -2 Solve -8*k + 74 = 2*x, -2*x + 2*k + 326 = 332 for x. 5 Solve 4*z + 7 = 3*v, -2*z - 371 = v - 360 for v. -3 Solve -3*w + 6 + 8 = 5*p, -5*w = -5*p - 10 for w. 3 Solve 12 = 10*f - 6*f, -3*f + 27 = 3*o for o. 6 Solve 2*u + 149 - 155 = -i, 5*i - 4 = 3*u for i. 2 Solve -r - 142 = -4*l - 121, 1 = -l - r for l. 4 Solve 9*x + 21*n = 6*x - 60, 3*n = 3*x - 12 for x. 1 Solve -3*j - 25 = 1414*d - 1418*d, -7 = 5*j + 2*d for j. -3 Solve -q = 2*t - 11, -34 = t - 2*q - 17 for t. 1 Solve -766 + 783 = -2*a + 3*v, 0 = -4*a + 2*v - 14 for a. -1 Solve k - 135 + 147 = 4*i, 0 = -4*i + 3*k + 4 for i. 4 Solve -j = -w + 2, -j = -5*w + 5 + 5 for w. 2 Solve -1846*m + 13 = -1848*m + 5*a, 1 = a for m. -4 Solve -1495*z = 3*g - 1490*z - 16, 3*g = 3*z - 24 for g. -3 Solve -13*m - 8 = f - 17*m, 2*m - 4 = -5*f for f. 0 Solve 4*f = 5*t - 13, 0 = 4*t - 4*f - 7 - 1 for t. 5 Solve -2*h + 293 - 299 = -3*w, 5*w = -4*h - 12 for w. 0 Solve -6*i - q + 3*q - 10 = 0, 6*q - 3 = 9*q for i. -2 Solve 2*y + 3*x - 28 = 0, -3*x - 1253 + 1275 = -y for y. 2 Solve 0 = 7*p + 2*f - 10, 42*f - 20 = 5*p + 38*f for p. 0 Solve 3*t - 8 = -4*x, -44*t - 48 = -48*t + 4*x for t. 8 Solve -3*m = 1193*i - 1190*i - 9, -30 = -2*m + 6*i for m. 6 Solve 542*m + 3*k - 27 = 273*m + 272*m, 0 = 4*m + 4*k + 12 for m. -6 Solve 0 = 2*a - 2*c + 6, 0 = 64902*a - 64899*a - 5*c + 7 for a. -4 Solve 20 = 4*f + 2156*u - 2157*u, 3*u = -5*f + 25 for f. 5 Solve 2*n + h = 3, 5*n - h - 24 + 13 = 0 for n. 2 Solve -24*n + 21*q = -20*n + 72, -2*n + 14 = 2*q for n. 3 Solve 0 = -y + 5, 215*y - 218*y + 23 = -4*k for k. -2 Solve -3*v - 4*w = -0 + 2, v + w - 1 = 0 for v. 6 Solve n + 139 = -11*z + 143, 2*n = 5*z + 8 for z. 0 Solve 3*i + 13 = -18*t + 17*t, 0 = 5*t - i + 1 for t. -1 Solve -42*t + 43*t + 23 = -5*r, -r = 7*t - 9 for t. 2 Solve -i = 4*v - 1, 4*i + 118*v = 121*v + 23 for i. 5 Solve -2*o - 10 = 687*m - 686*m, 5 = 5*m - o for m. 0 Solve -4 = 4*o + 2*r, 9855*o + 4 = 9850*o - 2*r for o. 0 Solve 6 = -2*y + l, -109 = -8*y + 5*l - 135 for y. -2 Solve -2*k - 16 = -2*y - 6, -4*y + 16 = -2*k for y. 3 Solve -571*w + 4 = 3*l - 573*w, -w - 15 = 5*l for l. -2 Solve 2*k + 28*a - 10 = 24*a, -3 = 5*k + 3*a for k. -3 Solve 30 = -5*q - h, -q - 9*h + 8*h - 10 = 0 for q. -5 Solve 83*i + 25 = -2*h + 88*i, 4*h - 7*i = -41 for h. -5 Solve -2*y = 2*y - 28, 8*o - 13*o + 3*o - 16 = -2*y for o. -1 Solve 0 = 14*n + 124*w - 119*w - 179, 0 = 3*n - 3*w - 18 for n. 11 Solve b = 3*g - 22, 3*b + 11118 = -5*g + 11150 for b. -1 Solve -6 = -k + 3*w, -60 = -3505*k + 3510*k + 3*w for k. -9 Solve -2*u - 47 = -5*c - 39, 5*u = 5 for c. 2 Solve 3*l - 4*x - 17 = 0, 29*l - 33*l - x - 9 = 0 for l. -1 Solve 0 = 2*v - 5*i - 27, 2*v + 7 = -3*i - 6 for v. 1 Solve -5*d - 13 - 9 = 3, -5*d - 25 = 5*t for t. 0 Solve 5*o + 15 = 0, -5*b = 2*o + 13 - 12 for b. 1 Solve -3*y = 20770*f - 20773*f - 21, -2*y + 32 = -5*f for f. -6 Solve 3*p = -3*h + 3, 3*h + 30*p - 101 = -22*p for h. -1 Solve 49*y - 48*y + 14 = 2*f, -5*y = -32*f + 268 for y. 4 Solve 23 = -4*s + 5*o, 20*s - 18*s + 3*o = 27 for s. 3 Solve -h - 2*a - 4 = 0, 24*a = -2*h + 22*a - 2 for h. 2 Solve 6 = -2*r, -301*r = 2*b - 309*r - 22 for b. -1 Solve 0 = a + 4*o + 13, -8*a - 280 = -o - 308 for a. 3 Solve -4*y + 3*u + 103 - 82 = 0, 4*y = 4*u + 24 for y. 3 Solve -3*h + 23 = -5*q + 46, 15 = h + 4*q for h. -1 Solve u + 4*z + 14 = 0, 0 = -31*u + 28*u + 2*z for u. -2 Solve 5*w = -4*z - 5, 2*z + 19 = 10*w - 7*w for z. -5 Solve 8*t - 4*t = f + 8, 10*f - 52 = -4*t for t. 3 Solve -7*r + 5*a + 30 = 0, -4*r = 3*a + 2*a - 25 for r. 5 Solve 4*u - 12 = -4*q, -4*q + 19*u + 32 = 13*u for q. 5 Solve -23*p + 28*p + 7 = 5*r - 13*r, -r + 2*p = -7 for r. 1 Solve -3490*x = -3489*x + 4*j + 36, -2*x + 3*j = 39 for x. -24 Solve -4*q = -5*m - 30, -4*m + 14*q = 17*q + 24 for m. -6 Solve -2*f + 39*x + 13 = 36*x, -3*x - 12 = -3*f for f. -1 Solve -5*f = -m - 43, 136*f - 139*f + 9 = 5*m for m. -3 Solve -115*s + 100*s = -4*c + 43, 4*s - c + 12 = 0 for s. -5 Solve 2*y - 3*t - 1 = 0, -y - 46*t = -49*t - 5 for y. -4 Solve 4*v - 222*n + 1 = -217*n, 0 = -4*v - 4*n + 8 for v. 1 Solve 1021*u - 1020*u - 3*r = -28, -r = -3*u - 60 for u. -19 Solve 226*z - 224*z - 2*k + 4 = 0, 2*z - 3*k = -7 for z. 1 Solve 0 = 4*t - p - 25, 0 = -2*t + 381*p - 380*p + 21 for t. 2 Solve -2*q + 5*a + 48 = 5, -a = q + 10 for q. -1 Solve -5*b - 202*d + 206*d = -25, -d = b - 5 for b. 5 Solve -4*c + 4 = 4*a + 4, 21*c + 2 = -3*a + 74 for a. -4 Solve -66675 = -0*l - 2*l + 4*g - 66681, -g + 6 = -2*l for l. -3 Solve -1 = 5*s - 5*o - 51, -5*s = o - 26 for s. 6 Solve -7*u + 65 - 50 = -n, 5*u - 10 = 0 for n. -1 Solve 3*f + 18 = -8*m, 3*f = -4*m - 478 + 472 for m. -3 Solve -k + 1 = 4526*l - 4531*l, 2*l + 2*k + 5 = 7 for l. 0 Solve y = 220*d - 225*d - 45, 0 = -4*d + y - 27 for d. -8 Solve l = 3*r - 26, -100*l = -101*l - 3*r - 14 for l. -20 Solve 30*y =
{ "pile_set_name": "DM Mathematics" }
lest value in 3, 2/13, -22, -3? -22 Which is the third biggest value? (a) 1/61 (b) 0.1 (c) 4/5 (d) 1 (e) -5 b Which is the smallest value? (a) -47/5 (b) 2/7 (c) -3 (d) -4 (e) -90 e What is the biggest value in -2, 1/3, 1768, -2/21? 1768 Which is the third smallest value? (a) 26/217 (b) 27/16 (c) -0.1 b What is the third biggest value in -1, -1/54, 42.2? -1 What is the biggest value in 35, -2/19, 3.3? 35 Which is the second biggest value? (a) 2/59 (b) -0.5 (c) -142 b Which is the fourth biggest value? (a) 12 (b) 2 (c) -11 (d) 3 c What is the smallest value in 3/73, 67, 17? 3/73 What is the biggest value in 6, -0.3, -3/428, 2? 6 What is the second biggest value in 48.4, -127, -0.4, 2/11? 2/11 Which is the second biggest value? (a) -4 (b) -1/7 (c) 1/1758 (d) -1 (e) 1 c What is the third smallest value in 1, 6, -2/5, -245/13, -11/3? -2/5 What is the second biggest value in 3, -5, 0, -18, 682/7? 3 What is the biggest value in -222/7, 2/17, 13? 13 What is the third smallest value in 5, 66/5, -3/2, 137, 4? 5 What is the second smallest value in -124/13, -0.4, 5, 1/3? -0.4 What is the biggest value in -143, 1229, 0.4? 1229 What is the third biggest value in -7, -21, 2/17, -0.09, -4? -4 What is the second smallest value in 4, -2/23, -0.3, -8/3? -0.3 Which is the biggest value? (a) -5 (b) 224 (c) -1/3 (d) -3/4 (e) -2 (f) 1/5 b What is the third smallest value in 0.1, 3, -2/3, 11268? 3 What is the biggest value in -0.5, 5, -0.3, -0.03, -1/4? 5 What is the fourth smallest value in -2, 0, 0.088, 1, -2/19, 5? 0.088 What is the second biggest value in -89.9, 417, -2/19? -2/19 Which is the third smallest value? (a) 0.8 (b) -22 (c) 0.3 a What is the fourth biggest value in 0.4, -1/7, -231, -22, 2, 4? -1/7 Which is the fifth smallest value? (a) 3/4 (b) -5 (c) -1/3 (d) 8 (e) -0.3 (f) -242 a What is the third biggest value in -1/3, -2/33, 31/5? -1/3 What is the fourth smallest value in -0.1, -4437, 0.2, 8/7? 8/7 What is the fourth biggest value in 1/7, 3/7, 0, 195/8? 0 What is the third biggest value in 1/5, -2886, -1, 0.5? -1 What is the third biggest value in -0.3, -3, -544582? -544582 Which is the second biggest value? (a) 0.5 (b) -64/45 (c) -15 b Which is the smallest value? (a) -2/7 (b) -2.019 (c) 8 (d) 1 b What is the second smallest value in 0.11, 2, -2, -1/21, 18? -1/21 Which is the smallest value? (a) 2872 (b) -2/17 (c) 5 (d) -0.25 d What is the second smallest value in -32/3, 2/19, 7, -7? -7 Which is the fifth smallest value? (a) 11 (b) -23 (c) 3/5 (d) 2/5 (e) 4/9 (f) 0 c Which is the third biggest value? (a) 147 (b) -5 (c) -4 (d) 5 c What is the second smallest value in 2/39, -2/3, 1/5, -5, 1/3? -2/3 Which is the biggest value? (a) 0.08 (b) -6 (c) 0.2 (d) -2 c Which is the biggest value? (a) 111 (b) -29/56 (c) 4 a Which is the second smallest value? (a) -1835 (b) 5 (c) -5 (d) -1/3 (e) 16 c What is the third smallest value in -0.62, 1, 7, -1? 1 What is the smallest value in 0.1, -293165, -4? -293165 What is the biggest value in -1, -35, -3122? -1 What is the second smallest value in -2.01, 5, -1/311? -1/311 Which is the fifth biggest value? (a) 0.1 (b) -0.038 (c) 0.24 (d) -7 (e) 3 (f) -1 f What is the second smallest value in 5, -2/7, -7/118, 3? -7/118 What is the biggest value in -0.25, 3/7, -4, -1, 1? 1 What is the second biggest value in -2/5, 2, 18191.6? 2 What is the second smallest value in 22, 9, 0.84, -2/5? 0.84 Which is the fifth biggest value? (a) -2/7 (b) -1 (c) -11 (d) 2/17 (e) -2/19 c Which is the second smallest value? (a) 1/8 (b) -4 (c) -0.1 (d) -7 (e) -2/3 b Which is the second biggest value? (a) -2 (b) 2250 (c) 8/7 c Which is the second biggest value? (a) 2 (b) 0.124 (c) -1/3 (d) 5 (e) -880 a Which is the smallest value? (a) 215 (b) 0.1 (c) -8.6 c What is the third biggest value in -0.4, 12, 2/9, 108/17? 2/9 What is the sixth smallest value in 3/2, 0.4, -0.08, -132, 4, -0.1? 4 Which is the second smallest value? (a) -1/5 (b) 0.4 (c) 4 (d) -0.459 a What is the fourth smallest value in 4, -3, -5, -0.044, 23? 4 Which is the third smallest value? (a) 1/8 (b) 4/7 (c) 779.8 c What is the fifth biggest value in 11, 1/2, 56, -95, -1? -95 Which is the second smallest value? (a) 1 (b) 2 (c) -13153 a Which is the smallest value? (a) 6641 (b) -1 (c) -2 (d) -15 d What is the third smallest value in -2/3, -2/7, 2/9, 2/11, -1/121? -1/121 Which is the third smallest value? (a) 2/25 (b) -85 (c) -3 (d) -5 (e) -1 c What is the fourth smallest value in 2, -22, -2/5, -0.3, 0.11? 0.11 Which is the second biggest value? (a) 0.012 (b) 3/4 (c) -2/9 (d) 21 b What is the third biggest value in -4, 0.1, -973? -973 Which is the fifth smallest value? (a) 0.5 (b) 2.3 (c) -4 (d) 4 (e) 0 (f) 2/9 b What is the fourth biggest value in 1, 2/15, 36, 22, -0.1, 2/9? 2/9 What is the second biggest value in 0.9, 4, -2749? 0.9 What is the third smallest value in -18/13, -3745, 0.3? 0.3 Which is the smallest value? (a) 1/2 (b) 239 (c) -5 (d) 2/143 c What is the third biggest value in 18, 1/3, 46? 1/3 Which is the second smallest value? (a) -0.7 (b) 7 (c) 1/10 (d) 0 (e) 4 d What is the third biggest value in 0.034, -5, -1/4, 327, -2/13? -2/13 What is the second biggest value in -1/4, 3/104704, 3, -0.4? 3/104704 What is the fourth biggest value in 0.5, 5, 1, -1/6, 1.1? 0.5 What is the fourth smallest value in -6, 22, -27, -0.2? 22 Which is the third biggest value? (a) 4 (b) -45.4 (c) 4.59 (d) -1/5 d What is the second smallest value in -0.5, 7, -5/3, -6/89? -0.5 Which is the fourth smallest value? (a) -4 (b) 2 (c) -2 (d) 0.8125 (e) -5 d What is the fourth biggest value in -0.08, -0.2, 0.3, 30? -0.2 Which is the fifth smallest value? (a) -61 (b) -0.5 (c) 4 (d) -2.3 (e) -5/4 c What is the fourth smallest value in 0, 12, -0.5, -1/6, 7? 7 Which is the smallest value? (a) 8.14 (b) -0.3 (c) 2 (d) 105 b Which is the second smallest value? (a) -2 (b) 20/9 (c) -288 a Which is the third smallest value? (a) 9.32 (b) -81/2 (c) -3 (d) 0.01 d Which is the third smallest value? (a) -0.1 (b) -3 (c) 19 (d) -2.2801 a Which is the fourth smallest value? (a) 2/3 (b) 1.78 (c) 4 (d) 1/5 c What is the third smallest value in 1/2, -6/887, 2/9? 1/2 What is the second smallest value in 0.4, 3/2, 5, -0.0263, -1/10? -0.0263 What is the second smallest value in 1197/8, 4, -1.8? 4 Which is the fourth smallest value? (a) -5 (b) -39 (c) -0.2 (d) -203 (e) -0.1 c Which is the second biggest value? (a) 0.9 (b) 5 (c) -2 (d) 1/1405 a What is the third smallest value in 6, 0.4, -5, -1790? 0.4 Which is the smallest value? (a) 0.4 (b) 3/8 (c) -92 (d) -5 c What is the third biggest value in -2/12867, -1/3, 4, 2, -4? -2/12867 What is the fifth biggest value in 1, 0.3, -1/51, 0.12, 36? -1/51 What is the fourth smallest value in -2, 0.5, 1, 3/31, 53, 5? 1 Which is the fourth biggest value? (a) -0.1 (b) 73/5 (c) 0 (d) 0.3 (e) -0.03 e What is the smallest value in 1462, 324, 0.5? 0.5 Which is the second smallest value? (a) -92645 (b) 2 (c) 3/2 c What is the third biggest value in 1, 3, -1/8, -2985? -1/8 What is the third smallest value in 29, -1/22, -2/17, 0.4, 5? 0.4 Which is the smallest value? (a) -29.12 (b) -5 (c) 9 a What is the fourth biggest value in 4, 5, -0.5, 1/6, -1.5? -0.5 What is the second smallest value in 2/44085, -0.4, 0, 4, -0.11? -0.11 Which is the fifth biggest value? (a) 0 (b) -7 (c) 179 (d) -2 (e) -3 (f) -4/7 e Which is the second smallest value? (a) -2 (b) -0.2 (c) -0.3 (d) 4084 c Which is the fifth biggest value? (a) 0.2 (b) -7/9 (c) 3/8 (d) 3 (e) -1.7 e Which is the second smallest value? (a) 2/9 (b) 302 (c) -151 a What is the smallest value in 0.4, -4, -2, 1/2, -1284, 2/15? -1284 Which is the sixth smallest value? (a) 3/5 (b) -3049 (c) 2 (d) -3 (e) -0.05 (f) 0.3 c Which is the sixth smallest value? (a) -1/9 (b) -2/11 (c) 1/11 (d) 0.3 (e) -4/9 (f) -31 d Which is the third smallest value? (a) -403 (b) 215 (c) -0.1 b Which is the second smallest value? (a) -7/4 (b) 0.1 (c) -0.3 (d) -0.04 (e) -2/17 (f) 2/7 c What is the fifth biggest value in -3, -1/2, 32.9, 3, -5? -5 W
{ "pile_set_name": "DM Mathematics" }
-t*j + 36. Find the second derivative of -15*g**j - 113 + 113 - 5*g wrt g. -90*g Let j(p) be the first derivative of 33*p**5/5 + 9*p**4/4 - 329*p**2 + 4*p + 2921. Find the second derivative of j(y) wrt y. 396*y**2 + 54*y Let s = 275 + -272. Differentiate 6*v**s - 1871*v**2 + 87 + 1876*v**2 + 15 with respect to v. 18*v**2 + 10*v Let j(a) be the third derivative of 7439*a**4/12 - 3416*a**3/3 + 8650*a**2 - a. Find the first derivative of j(t) wrt t. 14878 Let x(y) be the third derivative of -28*y**6/15 + 4*y**5/15 + 85*y**4/3 + y**3/6 + 83*y**2. Find the second derivative of x(v) wrt v. -1344*v + 32 Let w(y) = 814*y**3 + y - 2300. Let a(f) = 1631*f**3 + f - 4602. Let c(b) = -4*a(b) + 7*w(b). Find the second derivative of c(t) wrt t. -4956*t Let d(j) be the third derivative of 37*j**7/21 + j**6/30 + j**5/30 + 203*j**4/24 + 3*j**2 - 34*j. Find the third derivative of d(p) wrt p. 8880*p + 24 Let f(h) = 552*h**3 + 145*h - 38. Let d(t) = -110*t**3 - 29*t + 8. Let s(k) = -11*d(k) - 2*f(k). What is the second derivative of s(v) wrt v? 636*v Let g(s) = 1091*s**2 - 201*s + 5. Let h(i) = 3275*i**2 - 604*i + 15. Let v(t) = 17*g(t) - 6*h(t). What is the second derivative of v(r) wrt r? -2206 Let q = 3197/420 - 52/7. Let w(p) be the third derivative of 0 + 0*p**3 - q*p**5 + 0*p - p**4 + p**2. What is the second derivative of w(n) wrt n? -22 Let a be ((-8)/(-10))/((-4)/380). Let m be a/(-18) - 8/36. Find the second derivative of x + 9*x**4 - 4*x**3 + m*x**3 + 14*x**4 wrt x. 276*x**2 Let z(i) = i**3 - 3*i**2 - 7*i - 1. Let m be z(5). Let c = 2 + m. Find the second derivative of 29*v**2 + c*v - 7*v**4 - 29*v**2 wrt v. -84*v**2 Differentiate -2782 - 3167 + 13187*t**2 - 3177 + 271 wrt t. 26374*t Let h(g) be the third derivative of -163/6*g**3 + 0*g**4 - 242*g**2 + 0*g + 49/24*g**6 + 0*g**5 + 0. What is the derivative of h(w) wrt w? 735*w**2 Let s be (36 + -6)*(-2)/(-5). Suppose -2*r = -3*k + r + 60, 0 = -4*r + 4. Find the second derivative of k*d + 23*d**2 + s*d - 15*d wrt d. 46 Let x(h) = 83*h**2 - 8*h - 7. Let a(o) = 41*o**2 - 4*o - 3. Let n = 120 - 117. Let u(z) = n*x(z) - 7*a(z). What is the second derivative of u(d) wrt d? -76 Suppose 2*c + 6 = -3*j, 4*j = -j + 3*c - 29. Let l be (j/6)/(4/(-18)). Find the third derivative of 3*h**l - 5*h**3 + 9*h**3 + 10*h**2 + 6*h**3 wrt h. 78 Let g(y) = -2054*y**3 + 4*y**2 + 24*y + 410. Let u(a) = 4111*a**3 - 7*a**2 - 42*a - 821. Let w(p) = 7*g(p) + 4*u(p). What is the derivative of w(s) wrt s? 6198*s**2 Let j(c) be the second derivative of 127*c**6/15 + 3*c**5/20 + 4411*c**4/6 + 9148*c. Find the third derivative of j(r) wrt r. 6096*r + 18 Let p(y) be the third derivative of 389*y**7/210 - y**6/120 - 13*y**5/60 + 5*y**4/8 - 304*y**2 + 4*y. Find the third derivative of p(q) wrt q. 9336*q - 6 Suppose -27 = 7*i - 139. Suppose -i - 72 = -8*r. Find the second derivative of 10*h + r*h - 9*h + 9*h**2 wrt h. 18 Let a(h) be the first derivative of -h**4 - 67*h**2 + 72*h**2 + 3*h**3 - 53 - 70. Find the third derivative of a(z) wrt z. -24 Let b be -20*6/(-24) - 2. Find the second derivative of -41*q**5 - 4 - 20*q**b + 20*q**3 - 48*q**5 - 4*q wrt q. -1780*q**3 What is the third derivative of 507*w**5 + 511*w**5 - 1460*w**2 - 2804*w**5 wrt w? -107160*w**2 Find the first derivative of -1125*o**3 - 108*o**3 - 4655 - 4126 - 1170 + 1700 wrt o. -3699*o**2 Suppose n + 0*n - 2 = -4*h, -2*n - 5*h + 1 = 0. Let i be (-258)/(-33) + n/(-11). What is the second derivative of -i*g + 30*g - 20*g**4 + 5*g**4 wrt g? -180*g**2 What is the derivative of 989 + 267 - 149*h**2 - 2*h**3 - 387 + 951 + 1137*h**2 wrt h? -6*h**2 + 1976*h Suppose -41 = 5*i - 11. Let n be (-3)/(-6)*(-228)/i. What is the derivative of -a**3 + 16*a**3 - 3 + n wrt a? 45*a**2 Let c(u) = -251*u - 7277. Let j be c(-29). Let y(o) be the first derivative of -39*o - 27 + 0*o**j + 28/3*o**3. What is the first derivative of y(a) wrt a? 56*a Find the third derivative of -2735*i**2 + 1269*i**2 + 36*i**3 - 3*i**5 + 0*i**5 + 1303*i**2 - 3 + 0*i**5 wrt i. -180*i**2 + 216 Find the second derivative of 571*k**3 + 2*k**4 - 136*k**3 - 2340*k + 310*k**3 wrt k. 24*k**2 + 4470*k Let r(u) be the first derivative of -7394*u**5/5 + 5493*u - 696. Differentiate r(h) with respect to h. -29576*h**3 Suppose -10*q + 28 = -3*q. Suppose -2*l - 29 = 3*k - q*k, -5*k - 2*l + 157 = 0. What is the third derivative of 101*n**2 + 28*n**5 - 56*n**2 - k*n**2 wrt n? 1680*n**2 Let d(b) be the second derivative of -b**8/28 - 141*b**5/20 + 95*b**4 - 2153*b - 2. What is the third derivative of d(k) wrt k? -240*k**3 - 846 Suppose -186*c + 190*c = 20. Find the second derivative of -b**2 - 18*b + c*b - 471*b**3 - 19*b + 480*b**3 wrt b. 54*b - 2 Let o = 2025/452 + -26/113. Let d(r) be the first derivative of -o*r**4 + 4 - 13/3*r**3 + 0*r + 0*r**2. Find the third derivative of d(b) wrt b. -102 Let i(g) = -g**2 + 10*g. Suppose -p + 11*p = 70. Let b be i(p). What is the derivative of 10 + b*t + 1 + 6 - 2 wrt t? 21 What is the first derivative of 460 + 16*w + 6*w + 2*w - 34*w**3 + 7*w**3 + 2262 wrt w? -81*w**2 + 24 Let h(i) = 6*i - 59. Let y be h(15). What is the second derivative of -y*w + 0*w**3 + 37*w**3 + 5*w**3 wrt w? 252*w Let g(c) be the third derivative of -79/6*c**3 + 0*c**4 - 2*c**2 - 1/120*c**6 + 0*c - 1/30*c**5 + 7/30*c**7 + 9. Find the third derivative of g(f) wrt f. 1176*f - 6 Let h(q) = -2*q**2 + 2 - 21*q + 11*q**2 + 0*q**2 + q. Let t(g) = -17*g**2 + 40*g - 5. Let y(w) = -5*h(w) - 2*t(w). What is the second derivative of y(v) wrt v? -22 Let w(q) be the first derivative of 1262*q**5/5 - 524*q - 1532. Find the first derivative of w(l) wrt l. 5048*l**3 Suppose 0 = -5*n + 5*q - 10, 0*q - q = -1. Let t be 0 + (n - 1) + 4. Find the third derivative of -24*s**2 + 3*s**2 - 18*s**t + 3*s**5 + 9*s**5 wrt s. 720*s**2 Let g(y) be the third derivative of 847*y**6/120 + 2425*y**3/2 + 2241*y**2 - y. What is the derivative of g(o) wrt o? 2541*o**2 Let q = 493 + -481. What is the second derivative of -57*y + 30*y + 29*y - 6 - 2*y**4 + q*y**2 wrt y? -24*y**2 + 24 Suppose -5*x = -3*t + 11, 3*t - 25 = -0*x - 2*x. Let n = t + 14. Find the second derivative of -18 - 5*q + 16*q**4 + 18 + n*q wrt q. 192*q**2 Let j(y) = -3*y - 19. Let k be j(-8). Suppose 0 = -5*q + g + 18, k*q - 3*q = 4*g. Find the second derivative of 24*d**4 + 12*d - 47*d + 10*d**q wrt d. 408*d**2 Let o = 113 - 171. Let m = -52 - o. What is the third derivative of 17*h**2 + 11*h**6 - 2*h**m - 5*h**2 wrt h? 1080*h**3 What is the first derivative of a + 8*a**3 - 35*a**4 - 343 + 45*a**4 - 101*a**4 - 12*a**4 wrt a? -412*a**3 + 24*a**2 + 1 Suppose -3*b - o = -67, 2*o = -0*o + 8. Let d(l) be the first derivative of -b*l + 8*l + 6*l**2 + 18 - 19. Differentiate d(y) with respect to y. 12 Let p(q) be the first derivative of -77*q + 71*q + 3 + 1 + 2*q**2 + 64*q. Differentiate p(v) with respect to v. 4 Let l(k) = 14*k**2 + 17*k + 1. Let d be l(-3). Suppose 4*m - 16 = d. What is the derivative of 10*r - m - 2 + 5 wrt r? 10 Let n be 1*7/(-35)*-5. Suppose -w + 23 - 2 = 0. What is the second derivative of -w*i**2 + n + 61*i - 57*i - 1 wrt i? -42 Find the second derivative of 306*r**4 - 517*r - 922*r + 159*r + 299*r wrt r. 3672*r**2 Let s(v) = -5*v + 167. Let q be s(33). What is the second derivative of -13*k**2 + 36*k + 45*k**q - 14 + 12 wrt k? 64 Let f(o) be the first derivative of 0*o + 15*o**2 + 23 + 55/3*o**3. Find the second derivative of f(l) wrt l. 110 Let p(r) be the third derivative of r**4/24 + 2*r**3 - 4*r**2. Let g be p(-6). Differentiate 7*w**2 + 2*w**2 + 10 - g*w**2 + 11*w**2 with respect to w. 28*w Let u(i) be the first derivative of -7741*i**2/2 - 4061*i - 2629. Differentiate u(g) wrt g. -7741 What is the first derivative of -83*z - 63*z + 145*z - 29*z**3 + 839 + 182*z**3 wrt z? 459*z**2 - 1 Let c(u) = 14*u - 210. Let y be c(16). Find the second derivative of y - 91*b**2 - 15 - 5*b + 3*b + 5 + b wrt b. -182 Let h(g) = -16*g**3 + 65*g**2 + 386*g - 47. Let v(j) = 47*j**3 - 196*j**2 - 1159*j + 130. Let p(d) = 11*h(d) + 4*v(d). Find the second derivative of p(c) wrt c. 72*c - 138 Let w(p) be the second derivative of -p**8/28 + 57*p**7/14 + p**5/20 - 1501*p**4/3 - 1244*p. What is the third derivative of w(h) wrt h? -240*h**3 + 10260*h**2 + 6 Suppose 5*k - 7 = -4*h, -3*h - 2 =
{ "pile_set_name": "DM Mathematics" }
+ 0.07144. Which is the closest to z? (a) 0 (b) y (c) 0.7 b Let g be (12/30)/(6/(-10)). What is the closest to 0.1 in 1/4, -4/21, g? 1/4 Let x = -0.2 + 0.7. Let m = x - -4.5. Suppose -7*f - 569 = -548. Which is the closest to 0.1? (a) m (b) f (c) -0.5 c Let n(f) = 7*f + f**3 - 3*f**2 - 3*f**2 - 2*f**2. Let d be n(7). What is the nearest to d in -0.1, -1/6, 2/11? -0.1 Let q = -0.2 + 0.3. Let z = -0.1 - q. Let m = -17.4 + 19.4. Which is the nearest to z? (a) 1/3 (b) m (c) -0.5 c Let k = 1.041 + -0.041. Let m be (9/12)/((-2)/(-8)). What is the closest to k in 2/3, m, 4? 2/3 Let v = 25.6 + -22.6. Which is the nearest to -1/3? (a) 0.15 (b) 2/13 (c) v a Let a = -5668 - -28341/5. Let l = -3 - -2.6. What is the closest to a in 2/19, 0.4, l? 2/19 Let y = -85 + 84.927. Let t = -0.073 - y. What is the nearest to -1 in 5, t, 7/6? t Let l = -0.3 + 15.3. Let s = 13 - l. Which is the closest to 1? (a) 1/4 (b) 0.3 (c) s b Let v = -8252/5 + 1650. Which is the nearest to 1? (a) -2/25 (b) -1 (c) v a Let d(r) = 2*r**3 - r**2 - 3*r - 1. Let n be d(-1). Let l be (-5 + 4 + n)*6/4. Which is the closest to l? (a) -3/7 (b) 5 (c) -4 c Let x = 44 + -216/5. Let z = 179/4 + -45. Which is the nearest to -2/7? (a) -4 (b) z (c) x b Let g = -101 - -76. Let s = 27 + g. Let i = 167/245 - 4/49. What is the nearest to 1/4 in s, i, 0.2? 0.2 Let p = -97.9 + 89. Let w = 7.9 + p. Which is the nearest to -0.1? (a) -0.2 (b) w (c) -3 a Let k = -105 - -733/7. Let g be 266/(-616) + (-2)/(-8). What is the nearest to k in 0.1, -2/7, g? -2/7 Let a = -402 + 6832/17. Let o = 1.567 - 1.267. What is the nearest to 2/5 in a, 0.2, o? o Let n = -869/4 - -218. Which is the nearest to 1? (a) -6/11 (b) n (c) 0.3 b Let n = -1534/7 + 5456/21. Let j = -604/15 + n. What is the closest to -1 in j, -2/13, 0.1? -2/13 Let z = -0.13 - -1.13. Let q = 4829/640 - -7/128. Let o = q + -8. Which is the nearest to z? (a) 6 (b) -5 (c) o c Let z = -3.6 + 4. Let w be (8 - 3)*(-8)/100. Let b = 0.17 + -0.07. What is the nearest to b in -3, z, w? z Let o = 0.1 - 12.1. Let k = 131 - 142.6. Let w = o - k. What is the closest to 0.2 in -0.3, w, -4? -0.3 Suppose 50 = 2*v + 3*v. Let f be (1/2)/((-1)/v). Let j be -6*(-4)/12 - 30/14. What is the closest to f in 3, -0.1, j? j Let d = 36 - 35.86. Let i = 1.86 + d. Which is the closest to -2? (a) -1/5 (b) i (c) -0.3 c Let j = 4/111 + 400/1221. What is the closest to 1/2 in -1/3, j, -1? j Let a = 1115.1 - 1115. What is the closest to a in -16, -3, -5, -2/7? -2/7 Let y = 55.3 - 58. Let c = -2.5 - y. What is the nearest to -1/2 in c, -1/6, 4? -1/6 Let w = 2 + -3. Let s be (3 + -2)*(-1)/3. Let i = 3.46 + -2.96. What is the closest to w in -4/7, s, i? -4/7 Let d = 4 + -3.8. Let s = -26 + 31. Which is the nearest to 0.5? (a) s (b) 1/3 (c) d b Let a = 14.9 - 15. Let d = -0.353 + -0.117. Let t = d - -0.07. What is the closest to a in 0.5, -3/2, t? t Let p = -24/5 + 91/20. Let u = -12.35 - -16.5. Let z = u + -0.15. What is the closest to p in -1/4, z, 0? -1/4 Let t = -18 - -13. Suppose 0 = -3*w + 12 - 3. Suppose 4*v + 81 - 84 = i, 0 = -4*v + 2*i + 2. What is the nearest to t in w, v, 0.3? 0.3 Suppose -4*n + 16 = -2*n. Suppose -3*l + l = n. Let h be (18/(-54))/((-1 + 2)*-2). What is the nearest to 0.2 in h, -5, l? h Let x = -5 + 7. Suppose 0 = -2*y - x*n - 6, 4*y - 2*n + 3 = -9. Let h be y/18*12/(-8). Which is the closest to 1? (a) h (b) 4 (c) 0.2 a Suppose f = -3*x + 14, -42 + 18 = -3*f - 3*x. Which is the nearest to -2/7? (a) 3/5 (b) f (c) -2/9 c Let z = -521 - -521. What is the closest to z in 0.4, -0.1, -5/4, 0? 0 Let x = -5657.029 - -5675. Let y = 0.029 + x. Which is the nearest to 0.1? (a) y (b) -2 (c) 1 c Let k = 198.1 - 203.1. What is the nearest to 2/3 in k, -4, 1/3, -0.4? 1/3 Let q(f) = f**2 + 9*f - 27. Suppose -5*v = 28 + 27. Let z be q(v). Suppose 0 = 3*y - 6*y. Which is the closest to y? (a) z (b) -1/11 (c) 2/7 b Let u = -719 + 716. Which is the closest to 7? (a) u (b) -4 (c) -2/7 (d) -5 c Let v = 0.1667 + 0.8333. What is the closest to v in -4/9, 0.5, -1, 4/5? 4/5 Let t = -0.4 - 0. Let s = -22.5 - -22. Let b = -0.3 - s. What is the closest to b in 1/2, -5, t? 1/2 Let i(q) = -q**2 + 3*q + 34. Let t be i(7). Suppose 4*m - 2*l = -3*l + t, 3*l - 5 = m. Which is the nearest to -2/9? (a) -4 (b) m (c) 0 c Let p be (2/4 - (-43280)/9632) + -5. Which is the closest to p? (a) 5 (b) 4/5 (c) 0.3 c Let a = -676 + 675. What is the closest to 2 in 1, a, -5.3? 1 Let a be 9/(-36) + 4/((-240)/9). What is the closest to 1 in -0.2, 0.5, a? 0.5 Let m be (-3)/7*658/(-188). What is the nearest to -5 in 7, m, 4/3? 4/3 Let r = 0.1012 + -0.0012. What is the closest to 5 in 3/7, 0.01, r, -2? 3/7 Let o = 157.311 + -0.311. Let y = o - 156.8. Which is the closest to 2/5? (a) 0 (b) y (c) 2/3 b Let o = 77.4 - 77. Which is the closest to -1/4? (a) -2/11 (b) 8 (c) o a Let o = 68 + -71. Which is the nearest to 2/17? (a) 5 (b) o (c) -2/3 c Let q be 2/9*9/(-6). Suppose -d + 3*d = 6. Suppose 1 - 3 = -2*g. What is the closest to -3 in q, d, g? q Let k = -0.88 + 0.78. Which is the nearest to k? (a) -1 (b) 3/5 (c) 0.7 b Let i = 0.134 + -23.934. Let h = i + 24. What is the closest to 0 in -3, h, -1? h Let y = -26097263/210 + 124273. Let n = -1/30 + y. Which is the nearest to n? (a) 5/4 (b) -2/17 (c) 1 b Let i = -4.3 + 2.3. Let l = -0.1 + -1.1. Let u = 1.3 + l. Which is the nearest to 2/5? (a) u (b) i (c) -4 a Suppose 12 = 5*a - 38. Let k be (-1)/4 - (a/(-8))/(-5). What is the nearest to -3 in 0.5, k, -0.4? k Suppose k - 4*m - 23 = 0, -5*m + 14 = -5*k + 54. Let t be (40/13 - 3)*-2. What is the closest to k in -0.2, t, -2? t Let y = 2.7 + 4.3. Let l = 9.7 - y. Let s = -3.1 + l. What is the nearest to s in -3, 0, 5? 0 Let v = 2 + -7. Suppose -10 - 5 = 5*n. Let m = n - -2. What is the closest to m in -1, v, 2/7? -1 Let n = -10329/245 + 211/5. What is the closest to 0 in n, -1, -5, 5/2? n Let r be (234/432)/((-3)/12) + 2. Which is the closest to -0.2? (a) 8 (b) r (c) -2/13 (d) -1 b Let k = 0.019 + -1.019. Which is the nearest to k? (a) -1/2 (b) 6/25 (c) -3 (d) -1/4 a Let i(p) = -2*p**2 + 4*p - 4. Let h be i(3). Let z be (-96)/15 + (-4)/h. Let o = 24 - 19. Which is the closest to -1? (a) z (b) o (c) 0.4 c Let v be 2/(-9) + (-22)/(-18). Let n = -710 - -710.2. What is the nearest to -0.1 in n, v, -4/3? n Let q = 1933 + -1934. What is the nearest to -5/13 in -4, 0.4, q? q Let n be (4/70)/(4*8/(-160)). What is the nearest to 4 in -1, 12, n, 1/2? 1/2 Let u = -496/9 - -55. What is the closest to 24 in u, 1/3, 3? 3 Let c(s) = s. Let w be c(4). Suppose -f - 9 = -w. Let i be (-4)/f*25/90. What is the closest to 0 in -0.2, -0.4, i? -0.2 Let c = -416/615 - -2/205. Let b = 0.1 - 0. Let z = -2 + 6. What is the nearest to b in c, 1/2, z? 1/2 Let x be (-10)/(3/(-2)*11/(-66)). Let z = x + 39. Let j = -28 - -198/7. Which is the nearest to j? (a) z (b) -2/7 (c) -2/5 b Let b be (-5)/(-40)*(-4 - -2). Suppose 0 = 8*h + 63 - 31. What is the closest to b in 0, 0.4, h? 0 Let x = -1.865 + -0.135. Let i = 26 - 25. What is the nearest to i in x, -0.4, 0.4? 0.4 Let n = -8.711 + 8.611. Suppose 2*o - 17 = 3*g, 0 = -0*g - 3*g - 15. Which is the closest to -0.21? (a) n (b) o (c) 0.1 a Let c(v) = -v**3 - 7*v**2 - 2*v - 12. Let l be c(-7). What is the nearest to 0.2 in -0.06, l, 0? 0 Let k be 963/(-36) - (-2)/4. Let f = k - -26. Which is the nearest to -1? (a) f (b) 0.4 (c) 0.2 a Suppose -3*a = 2*f - 1 - 9, -a - 6 = -4*f. Let g(w) = w**2 + 0*w**2 - a*w + 1 + 4*w - 2. Let v be g(-3). What is the nearest to v in 1/5, -1/9, -0.1? 1/5 Let w = 0 + 0.4. Let x = -239 + 240. Which is the closest to x? (a) 3 (b) -5 (c) w c Let r = -3.5 + 3.6. Which is the nearest to -1? (a) -2/3 (b) r (c) -4 a Let a = 424/1155 - 18/77. Let z = 26 + -23. Let v = 0.01 - -1.99. What is the nearest to a in -1/4, v, z? -1/4 Let j = 27/52 - -3/13. Suppose 2*r - 7*r = 5. Which is the closest to r? (a) -2/79 (b) 5/6 (c) j a Let q(y) = y**3 + 10*y**2 - 9*y + 22. Let p be q(-11). Which is the nearest to -2? (a) -2 (b) 2 (c) p a Let y be 10/(-18) + 4/18. Let d(i) = -2*i**2 - i + 1. Let q be d(1). Let t be 1*((-30)/(-16) + q). What is the closest to -0.1 in y, 0.3, t? t Let c = 81.09
{ "pile_set_name": "DM Mathematics" }
p. Solve 0 = c*l - 10*l + 12 for l. 2 Let h be (5/(-5))/(1/(-14)*2). Solve -h*j + 2*j + 5 = 0 for j. 1 Suppose -3*v + 0*n - 2*n = -252, -4*n = 2*v - 176. Solve 74 = 2*b + v for b. -4 Let x be 48/(-6) - 396/(-9). Solve 9*c + 0*c + x = 0 for c. -4 Suppose 3 = -4*l + 11. Suppose 1 = -2*v - 3*q + 15, 4*q = 4*v + 12. Solve -l*i - v = -7 for i. 3 Let u = -14 - -21. Let t(c) = -c**2 + 4*c + 15. Let v be t(u). Let d be ((-24)/v)/((-4)/(-6)). Solve 0 = d*j - j - 5 for j. 1 Let n be -25*(0 - 12/30). Solve 8*h + n + 22 = 0 for h. -4 Suppose 7*u - 172 = -123. Solve 5*z = u*z + 2 for z. -1 Suppose 2*q + 26 = 4*s, -9*s + 5*s - 3*q + 51 = 0. Solve 0 = 6*y - 9 - s for y. 3 Let j(p) be the second derivative of p**4/12 + p**3/3 + p**2 - 7*p. Let h be j(-2). Suppose -h*i = 3*i - 35. Solve -27 + i = 4*k for k. -5 Suppose 0 = -2*o + w + 1, -2*o + 2*w - 70 = -68. Solve o*m = 5*m for m. 0 Let n(r) = 4*r**2. Let t be n(-1). Solve 25 = -t*h - h for h. -5 Let y be ((1 - -2) + 12)*2/6. Solve 7*s + y = 2*s for s. -1 Suppose 17 = 4*y + 5*q, 3*y + q - 5 = 5. Suppose 3*c = 2*c + y. Let v(a) = -a**2 + 2*a - 1. Let x be v(1). Solve c*r - 3 + 15 = x for r. -4 Let o be ((-5)/(-5))/(1/5). Suppose -55 = -o*v + 45. Let l = 12 + -8. Solve 0*b + v = -l*b for b. -5 Let r be (-2706)/(-165) - 2/5. Suppose -r*q + 23*q = 21. Solve q*x + 0 = 6 for x. 2 Let k be ((-4)/8 - 0)*10. Let w(b) = b**2 + 5*b + 2. Let h be w(k). Solve -6*q + 20 = -h*q for q. 5 Let w = -1 - -3. Suppose -25 = -3*q + 20. Let a be 0*(2 - q/6). Solve -w*f + a*f = -8 for f. 4 Suppose -2*b - 27 = 5*w - 2, b - 10 = 2*w. Solve b + 9 = 3*z for z. 3 Let s(d) be the second derivative of 7*d**4/12 - d**3/6 - 3*d. Let c be s(1). Let i = 11 - c. Solve -5*k - 5 = i for k. -2 Let w(x) = -x**2 + 5*x + 2. Let c be w(4). Solve -6 - c = 4*z for z. -3 Let c = -17 - -21. Let h be (c/(-12))/(1/(-9)). Solve -2*k = h*k - 15 for k. 3 Let d be ((-8)/6)/((-8)/18). Solve 1 = -u - d for u. -4 Let w(f) = f - 6. Let z be w(3). Let n(k) = 6*k - 5 - 9*k - 3 + 3. Let m be n(z). Solve m = -3*y - 5 for y. -3 Suppose 11*f = -5*f + 80. Solve f*u + 2*u = 2*u for u. 0 Suppose -17 = -m - 2*t - 0*t, 3*t + 48 = 2*m. Solve 0 = 4*d - m + 9 for d. 3 Let w(c) = 2*c**2 - 54*c + 147. Let t be w(24). Solve t*f - 24 = -9 for f. 5 Let t(j) = 4*j - 57. Let y be t(11). Let g = y - -23. Solve 0 = g*d - 7*d + 9 for d. -3 Let l = -118 + 125. Let s be 10/(-45) + (-20)/(-9). Solve -s*g - 1 + l = 0 for g. 3 Suppose 12*f = 7*f + 30. Suppose 4*x + f = 66. Solve 2*w + w = -x for w. -5 Suppose 5*r - 4022 = -4007. Solve -r*i = 41 - 38 for i. -1 Suppose 3*i - 4*p + 20 = 0, 4 = 4*i + 2*p - 6. Suppose 21*q - 24 = 25*q. Let h be (5 + q)/(2/(-8)). Solve o + h = -i*o for o. -4 Let t(l) = l**3 + 13*l**2 - 13*l + 17. Let a = -26 + 12. Let n be t(a). Solve -20 = 2*b + n*b for b. -4 Suppose 4*a - 72 = 4*n, -2*a - 3*n = -0*n - 51. Let q be (7/(a/9))/(2/2). Solve -w = 4 - q for w. -1 Let b(f) = -f**3 + 6*f**2 - 5*f + 3. Let i be b(5). Suppose -q = -i*q + 22. Let w = 0 - 0. Solve w = 5*u - 9 - q for u. 4 Let j be (-4)/10 - (-12)/30. Let c be 0/(-2) - j/8. Solve -3*t + 6 = -c*t for t. 2 Suppose -s + 14 = -46*n + 47*n, 4*s - 66 = -5*n. Solve o = -n + 10 for o. 0 Suppose 15 = v + 4*v. Let q be 2/(-3) + 11/v. Solve 2*x - 5 = -q*x for x. 1 Suppose -t - 35*t + 180 = 0. Solve 0 = -t*j - 26 + 11 for j. -3 Suppose 2*l + 10*x = 7*x + 5, 0 = l + 3*x - 1. Solve -11 + 3 = -l*g for g. 2 Suppose -22 = -5*h - 3*r, -h - 3*r = -7 - 7. Suppose 4*s + 2*c = 24, 4*c + 55 - 15 = 3*s. Solve 2*n + s = -h for n. -5 Let j be (-21 - -19)*(-8)/2. Solve 5*o - j = 13*o for o. -1 Let r be (-3)/(2 - (-7)/(-2)). Let q(v) = 7 - r*v + 2*v + v - 1. Let l be q(5). Solve -2 = 3*h - l for h. 3 Let z be 150/39 - ((-205)/65 - -3). Solve -17*j = -19*j + z for j. 2 Suppose -4*m = -3*m - 5*i - 23, -5*m + 4*i = -94. Let t = -20 + m. Let w be (2 + -2)/(0 + t). Solve 0 = -w*u - u for u. 0 Let n = 61 - 59. Solve -b - 3 = n for b. -5 Let a(q) = -q**3 + 8*q**2 - 4*q - 9. Let f be a(7). Let i = -16 + f. Let v be (i/(-14))/(14/196). Solve -v*p - 10 = p for p. -2 Let j = -17 - -20. Let i be (0/j - -6) + -2. Suppose i*a - a - 12 = 0. Solve 0 = -2*c + a*c - 8 for c. 4 Suppose -4*v - 200 = v. Let j = -798 - -797. Let p be j/(2/(v/4)). Solve 0*y = -y - p for y. -5 Let r be (-122)/4 + (-15)/10. Let h be (-3)/4 + (-536)/r. Let n be (h/(-20))/(2/(-5)). Solve -1 = -n*b + 9 for b. 5 Let a be 28 + (-4 + 1)/(-7 + 8). Solve 6*p = p + a for p. 5 Let j = -333 + 177. Let y = 160 + j. Solve -y*p + 1 = -3*p for p. 1 Suppose 0 = -6*c + c. Suppose 2*m = 3*u - 6*u + 15, 0 = -2*u - 6. Suppose 4*i + 4*f = 32, 0 = 4*i + 2*f - 3*f - m. Solve -k + 2 - i = c for k. -2 Let y(r) = r**2 + 12*r - 30. Let a be y(-15). Solve -n - a = 4*n for n. -3 Suppose 16 = 2*i - 22. Suppose -5*j + 1 = 2*v - i, 3*j - 12 = 5*v. Solve 3*d = j*d - 2 for d. 2 Let x(j) = -j - 4. Let u(m) = m**3 + 6*m**2 - m - 10. Let b be u(-6). Let n be x(b). Solve 2*s - 6 = -n for s. 3 Let d = 78 - 78. Let f(z) = z**2 - 6*z + 10. Let g be f(5). Solve d = -3*h - 7 - g for h. -4 Let n(w) = w**3 - 9*w**2 + 9*w - 2. Let k be n(8). Suppose 4*i - 2*h + 6 = 0, -i + k*h + 9 = 2*h. Let v = i + 5. Solve 3 = -5*f + v*f for f. -1 Let z(y) = -y**3 - 9*y**2 - 9*y - 5. Let t be z(-8). Suppose 0 = 2*c + t - 3. Solve -1 = -c*d - d for d. 1 Suppose 3*u - 4*t - 53 = -0*t, 3*u - 85 = -4*t. Let n = u - 22. Solve -2 = -a + n for a. 3 Let d(l) = -l**3 + 3*l**2 + 4*l - 2. Let q be d(3). Suppose 0 = 3*p - 4*f, 0*p - 2*f - q = -4*p. Solve -r - p + 7 = 0 for r. 3 Let p be -1*(0 + -101 + 0). Let l = p + -101. Solve l = -4*x - x for x. 0 Let b(r) = -5*r + 54. Let m be b(10). Solve m*g + 3 = -9 for g. -3 Let l(r) = -r**3 + 6*r**2 + 9*r - 15. Let k be l(7). Let j be 0 - -2 - (1 - k). Let h be (12/(-6))/(-1 - j). Solve -s = -h - 0 for s. 2 Suppose 25*q - 122 = 178. Solve 4*i - 8 = q*i for i. -1 Let v(s) = -s**3 + 17*s**2 - 2*s + 22. Let t be v(17). Let z = t - -12. Solve -l - 3*l - 20 = z for l. -5 Suppose 13 = d - 3*c, 0*d - 10 = 2*d + 3*c. Solve -3 = g + d for g. -4 Let g(n) = -n**2 + 10*n - 11. Let w(b) = 3*b - 1. Let y be (-12)/8 - 9/(-2). Let u be w(y). Let c be g(u). Solve c*r = 2*r + 12 for r. 4 Let d(z) = z**2 - 23*z + 45. Let a be d(21). Let b be (3 + -4)*2 + 8. Solve a*y + b = y for y. -3 Suppose z = 5 + 1. Suppose 24 + z = 3*m. Suppose c = -4*c + m. Solve 0 = 2*n - 2 - c for n. 2 Suppose -84 = -3*h + 3*s, 7*h - s - 124 = 2*h. Suppose -6 = 5*v - 1, 5*d - 19 = -v. Suppose 0 = -4*g + 16 + d. Solve g*x = 1 + h for x. 5 Let l(v) = v**3 - 6*v + 5. Let s be l(0). Solve 0 = -t + 6*t - s for t. 1 Let x = -43 - -33. Let j be 1/x*-5*(-1 - -3). Solve -2*w - 7 - j = 0 for w. -4 Let n be 91/42 - (-2)/(-12). Suppose 0 = -z + n - 0. Suppose 25 = 5*w - z*w + 4*v, 5*w + 5 = 5*v. Solve w*c + 1 + 2 = 0 for c. -1 Let z = -422 - -429. Solve 7*l + z = -0 for l. -1 Let b(r) = -r**3 + 3*r**2 + r - 1. Let o be b(3). Let j be (-1)/(o/(-6))*(2 + -1). Solve 2*p + j*p = -15 for p. -3 Suppose -10 + 1 = -3*f. Suppose 2*k = -5*x - f + 22, k = -2*x + 7. Solve x*v - 2*v = 0 for v. 0 Suppose -281*l - 10 = -286*l. Let u be 0 + 0 + -3 + 2. Let i be u*3*6/(-6). Solve -i + l = o for o. -1 Let g be 8*(-3 - (-2 + -3)). Let p = -16 + g. Suppose p*n = n. Solve n = 2*x + 8 - 0 for x. -4 Let w = 20 - 16. Let u = 70 + -50. Solve -z = w*z - u for z. 4 Let k be 0 + 4 + (10 - 5) + 5. Solve 5*v = -k - 1 for v. -3 Let v = -1 + 29. Suppose -h - h = -v. Suppose 2*b - 3*b - 2*g = -h, 0 = 4*b + 2*g - 74. Solve 2*x + 2*x = b for x. 5 Let y be 16/(-3)*15/(-10). Suppose -3*f = -x - y, x + 9 = 5*f - 5. Solve 0*r - 15 = -f*r for r. 5 Let v(t) = -t**3 + 2*t**2 - 5*t + 12. Let g be v(0). Solve -g*n = -11*n + 2 for n. -2 Suppose 2*f - 8 = -15*k + 13*k, -3*f - 20 = -5*k. Solve k*w + 5*w = 4*w for w. 0 Let o = -590 - -610. Solve -o = -6*s - 2 for s. 3 Let h be 1*-1*(-22 - (-16 - -9)). Solve -7*p + h = -10*p for p. -5 Suppose -4*z = f - 15, -67 = -5*f + 3*z - 15. Let k = f - 7. Let r = -1 + k. Solve 5*v + 23 - r = 0 for v. -4 Let k(g) = -90*g - 66. Let r be k(-1). Solve -26 = -l - r for l. 2 Let s be (-6)/(-26 + 31 + (-7 - 0)). Solve s*n - 70 = -55 for n. 5 Let z = -93 - -75. Let p(d) = -d**2 - 21*d - 39. Let v be p(z). Solve -4*x - v = x for x. -3 Let o(r) = 11*r**3 - 2*r - 1. Let m be o(-1
{ "pile_set_name": "DM Mathematics" }
-k + 0*k + 3 = 0. Let j(b) = -2 + 6*b + 2 - k - b**2. Give j(o). 2 Suppose -f = -x - 16, 5*f - 4*x = 12 + 65. Let z(v) = -v + 2. Give z(f). -11 Let k(y) = 10 + 11 + 6*y - 24 - 4*y. Calculate k(7). 11 Let d = 7 + -2. Suppose -d*g - 8 = -3. Let o(h) = -9*h**2 - 7*h - 1. Let a(n) = -10*n**2 - 8*n - 1. Let y(f) = 6*a(f) - 7*o(f). What is y(g)? 3 Let z be (16/(-7) - -2) + (-338)/91. Let f(d) = d**3 + 4*d**2 - d - 1. Give f(z). 3 Suppose 1103 + 553 = 128*t + 56*t. Let u(g) = 4*g**2 - 6*g + 3. Let p(d) = 7*d**2 - 13*d + 5. Let a(o) = -3*p(o) + 5*u(o). Give a(t). 0 Suppose -14*k + 16*k + 4*q - 24 = 0, 0 = -5*k + 4*q + 4. Let z(y) = 4*y**2 - 2*y + 3. Determine z(k). 59 Let t(z) = z**2 + 4*z - 495. Let o be t(-24). Let c(l) = -l**3 - 16*l**2 - 13*l + 6. Give c(o). -24 Let x(k) = -k**2 + k - 11. Suppose -4*f = -5*i, 7*i = 11*i - 5*f. Determine x(i). -11 Let p = 104 - 102. Let y(t) = -t - 3. What is y(p)? -5 Let k(i) be the third derivative of i**5/60 - i**4/24 - 38*i**2 + 2*i. Give k(4). 12 Let s be -4*(4/(-6))/((-20)/(-15)). Let j be (-25 + 20)*2/5*s. Let r(v) = 2*v**3 - 3*v**3 + 7*v - 3*v**2 - 2*v - 3. Determine r(j). -7 Let n(m) = -m**2 - 5. Let g(w) = w**2 - 14*w + 13. Suppose -12 = 8*q - 12*q. Let l be 11 - q*8/(-12). Let f be g(l). Calculate n(f). -5 Let c(q) = -2*q - 7. Let s(k) = 9*k + 38. Let f(p) = 6*c(p) + s(p). Suppose -2*o + 7*o + 10 = 0. Let l = o - 1. Calculate f(l). 5 Let j(m) = -3*m - 4. Suppose -57 = 38*t - 19*t. Calculate j(t). 5 Let f(b) = -2*b + 4. Suppose -3*j - 3*a - 9 = -2*a, 0 = -3*j - 4*a. Calculate f(j). 12 Suppose 32 + 1 = -3*w. Let i = w + 11. Let c(y) = -y**2 + y - 6. Give c(i). -6 Let h(k) be the second derivative of -k**5/20 - k**4/3 + k**3 + 3*k**2 - 68*k. Determine h(-5). 1 Let x(q) = q**2 - 8*q - 4. Let r be 10 - (0 - -1 - (-9 - -7)). Give x(r). -11 Let x be (-11)/(-3) - 12/18. Suppose 4*c + o - 23 = 0, 1 = -c + 3*o + 10. Suppose 12 = -c*j + x*j. Let u(k) = k**3 + 2*k**2 - 7*k - 5. Calculate u(j). -9 Let p(r) = -2*r + 2. Let b be (2/(-5))/((-4)/40). Let l = b + 1. Suppose -l*c + 10 = -10. Determine p(c). -6 Suppose -5 = -k - l, 0 - 9 = -3*k - l. Suppose -5*g + k*w - 5 = -3*w, 0 = 3*g + 5*w - 37. Let o(i) = 449 - g*i**2 + i**3 - 449 + 2*i. What is o(2)? -4 Let q = -20 - -19. Let r = q - -5. Let n(o) = 14 + 3*o - 2*o + 1 - r. Give n(-5). 6 Let o(d) = -d**3 - 6*d**2 + 16*d + 4. Let l be o(-8). Let s(a) = -2*a**2 + a**3 + 3*a - 4 - 2*a**2 + 0. Calculate s(l). 8 Suppose -15*p + 29*p = 10*p. Let h(n) be the third derivative of 1/2*n**3 + p - n**2 - 1/24*n**4 + 0*n. Give h(3). 0 Let l(i) = -4 + 4 + 0*i + i**3 - 2*i - 3 - 2*i**2. Suppose -3*t + 2*r = 6*r - 10, -2*r - 4 = -3*t. Suppose 2*d - 12 = -t*d. What is l(d)? 0 Let v be 12/14 - (-54)/(-420)*-5. Let k(g) be the second derivative of 1/20*g**5 + 0*g**3 + 0 - v*g**2 - 10*g + 1/12*g**4. Give k(0). -3 Let h(y) = -2*y - 1. Let z = -2 + -2. Let j be ((-6)/2)/(6/z). Determine h(j). -5 Let o(l) = l**3 + 5*l**2 - l + 2. Let z be o(-5). Let i(v) = -4 - 10*v + 16 + 9*v. Determine i(z). 5 Let m be 2/4 + 45/(-6). Let h(r) = -5*r**2 + 5*r + 7. Let u(d) = 2*d**2 - 6*d - 2. Let t(s) = h(s) + 2*u(s). What is t(m)? 3 Let f(q) = -4*q + 7. Let u = -185 - -188. Calculate f(u). -5 Let d(m) be the third derivative of -m**4/3 + m**3/6 + 8*m**2 + 4*m. Calculate d(5). -39 Let u(t) = t**2 + 2*t - 12. Let v = -390 - -385. Give u(v). 3 Let j(p) = -5 + 0*p - p - 3*p + p. Calculate j(-6). 13 Let o(f) = 9*f - 10. Let n(i) = 14*i - 15. Let c(j) = -3*j + 22. Let d be c(9). Let x(v) = d*n(v) + 8*o(v). Give x(-4). -13 Let m(y) = 2 - 5*y + y + 6*y. Give m(2). 6 Suppose -p - s = 7, -17*p - 28 = -13*p + 5*s. Let n(y) = y**2 + 12*y - 6. What is n(p)? -41 Let a be (2/(-1))/(25 - 23). Let v(o) = 16*o**3 - 2*o - 3. Calculate v(a). -17 Let o(j) = j**3 + 5*j**2 + 4*j - 6. Let p(u) = u**3 + 13*u**2 + 28*u + 188. Let x be p(-12). Determine o(x). -6 Let p be 8/4*(-25)/(-10). Let d(x) = 7*x**3 + x**2 - 8*x - 2. Let a(v) = 6*v**3 - 7*v - 1. Let i(n) = p*d(n) - 6*a(n). Determine i(5). 6 Let x(w) be the first derivative of w**2/2 + 31*w + 795. Give x(13). 44 Let y(a) be the first derivative of -a**3/2 - 3*a**2 - 5*a + 1. Let m(w) be the first derivative of y(w). Determine m(-4). 6 Let y(k) be the second derivative of -1/2*k**2 + 0 + 2*k - 7/6*k**3. Calculate y(-1). 6 Let t(o) be the second derivative of 4/3*o**3 + 4*o + 0 - 1/12*o**4 - 3/2*o**2. Let r(a) = -a**3 - 6*a**2 - 6*a + 13. Let n be r(-4). What is t(n)? 12 Let u(i) = 5*i - 5. Let b = -4 - -13. Let f(q) = -4 + 2*q + 3 - q. Let z(x) = b*f(x) - 2*u(x). Determine z(6). -5 Let x(v) = 2*v + 1. Let d be 7 - -2 - 6/2. Suppose 0 = -0*y - d*y + 78. Suppose 0 = 3*r + c - 8, -r - 2*r + 4*c = -y. What is x(r)? 7 Let r(o) = o**3 - 9*o**2 + 6*o + 8. Let d be ((-10)/(-6))/(5 - 264/54). Suppose 12*n + 24 = d*n. Determine r(n). -8 Let l(v) = 4*v**2 - 5*v + 5. Let i(x) = x**2. Let d(r) = 3*i(r) - l(r). Calculate d(4). -1 Let v(k) = -15*k + 8. Let y = -568 - -566. What is v(y)? 38 Let g(o) be the second derivative of o**5/20 + 5*o**4/12 - 13*o**3/6 + 17*o**2/2 + 4*o + 29. Calculate g(-7). 10 Let t(x) be the third derivative of 0*x + 1/24*x**4 - 2*x**3 + 0 + 50*x**2. Calculate t(13). 1 Let t(f) be the third derivative of 0 + 1/30*f**5 + 15*f**2 + 0*f + 1/120*f**6 + 1/12*f**4 + 1/6*f**3. What is t(-1)? 0 Suppose 3*n = 6*a + 6, -3*a + 2*a = -n + 3. Let y(k) be the first derivative of k**4/4 - 4*k**3/3 + 4*k + 1. Give y(n). 4 Let y(h) be the first derivative of -h**2 + 106. Suppose -2*q = q + 9. Determine y(q). 6 Let u(x) be the first derivative of x**2/2 + 10*x - 449. Determine u(-5). 5 Let b(p) = 15*p**3 - 14*p**2 + 3*p + 9. Let c(l) = 7*l**3 - 7*l**2 + l + 4. Let x(s) = 6*b(s) - 13*c(s). Suppose -6*f + 139 = 91. What is x(f)? -22 Let k(s) be the second derivative of s**4/12 + s**3 - s**2/2 + 2*s + 27. Give k(-5). -6 Suppose 6*n = 19*n - 52. Let b(k) = 2*k**2 - 5*k + 3. Give b(n). 15 Suppose 0 = -u - 3*z - 9, -43*u + 4*z + 12 = -38*u. Suppose -3 + 0 = -t. Let o(g) = -2*g + 0*g - g**2 + t*g + 5. What is o(u)? 5 Let h(j) = -5*j**3 - j**2 - 5. Let d(w) = -9*w**3 - 2*w**2 - 9. Let g(y) = 6*d(y) - 11*h(y). Determine g(2). 5 Let n(i) = -3*i - 7. Suppose 2*l - 11 = 5*c, -6*c + 2*c = 4. What is n(l)? -16 Let s(y) = y + 6. Let o = -40 + 39. Let q be o/(-4) + (-2)/8. Give s(q). 6 Let h be -3 + (12 - 1) - -1. Suppose 15 = 3*t - h. Let g(f) = -t*f + 10*f - 5*f + 1 - 4*f. Determine g(2). -13 Let f(d) = -5*d + 7*d - 3 - 3 + 11. Give f(-4). -3 Let l(q) = 5*q - 3*q**3 - 41 - 3*q + 42 + q**3. What is l(-1)? 1 Let m(r) = 1 - 51*r - 51*r + 154*r - 56*r. Let z(v) = -4*v**2 - v - 1. Let j be z(-1). What is m(j)? 17 Let a(d) be the third derivative of d**4/24 - 5*d**3/6 + 95*d**2. What is a(6)? 1 Let t(j) = -5*j - 18. Let p(n) = 4*n + 16. Let h(s) = -6*p(s) - 5*t(s). Calculate h(4). -2 Suppose 2 = y + 6. Let k(z) be the first derivative of -4/3*z**3 - 1/4*z**4 + 13 - 1/2*z**2 + 4*z. Give k(y). 8 Let z(n) be the second derivative of -1/20*n**5 + 0*n**2 + 0*n**3 + 0*n**4 + 2*n + 0. Let o be (6/12)/(-1 + (-3)/(-4)). Give z(o). 8 Let m(d) = d**2 - 20*d + 106. Let i be m(10). Let p(x) = x + 1 + 0 - 7. What is p(i)? 0 Let x(n) = n**3 - 2*n**2 + 3*n**2 + 3*n**2. Let s(u) = -u**3 - u**2 + 25*u + 53. Let g be s(-3). Give x(g). 0 Suppose -11 = 3*y + 5*j - 4*j, 4*y + 17 = j. Let v(b) = b - 3. What is v(y)? -7 Let l(z) be the third derivative of z**6/120 - 7*z**5/60 + z**4/4 + 3*z**3/2 - 452*z**2. Give l(5). -11 Let o(z) = z**2 - 3*z + 4. Let f(l) be the third derivative of -5*l**4/24 - 2*l**3/3 - 3*l**2. Let u be f(-2). What is o(u)? 22 Suppose -2 = 3*u - 4*u. Suppose -2*s = 4*o - u, -2*o + 3*s + 3 = -5*o. Let l(v) = 0*v**3 - v**3 + 3 - 1 + v**2. What is l(o)? -2 Let g(r) = 81 - 78 + 22*r - 23*r. What is g(8)? -5 Let q be -3 + (-3)/9*-15. Suppose q*g + 2*g - 24 = 0. Suppose v + 5 = g*v. Let l(f) = 10*f**3 - 2*f**2 + 2*f - 1. Give l(v). 9 Let h(a) = 2*a**3 + a**2 - a + 4. Let m = -2189 - -2187. Calculate h(m). -6 Let r(j) = -107*j - 328. Let l be r(-3). Let f(m) = -2*m**3 - 13*m**2 + 5*m - 24. Calculate f(l). -10 Let d(o) be the first derivative of -15 - 26*o + 27*o + 2 - 2*o**2. Let a(j) = 2*j**2 + j - 1. Let k be a(1). Give d(k). -7 Let q(i) = -3*i - 9. Let h(a) = 6*a + 17. Let n(s) = -3*h(s) - 5*q(s). Give n(7).
{ "pile_set_name": "DM Mathematics" }
t h(x) = -2*x**2 - 2*x + 1. Let r(f) = -d(f) - 3*h(f). Solve r(t) = 0 for t. -878 Let t be (191*2/24)/(95/950). Let o = t - 317/2. Factor -8/3*c - o*c**2 + 10/3. -2*(c - 1)*(c + 5)/3 What is b in -42*b**2 + 8 + b**4 + 11*b - 11*b + 11*b**3 + 4*b + 48 = 0? -14, -1, 2 Let j(q) be the first derivative of 4*q**3/9 + 152*q**2/3 + 5740*q/3 - 5459. Factor j(x). 4*(x + 35)*(x + 41)/3 Suppose 19*g**3 + 4337*g**4 + 31*g**3 + 242*g**5 - 4117*g**4 = 0. What is g? -5/11, 0 Let g(j) be the first derivative of 1/5*j**3 + 12/5*j**2 + 148 + 21/5*j. Suppose g(f) = 0. Calculate f. -7, -1 Let p = -110/23 - -949/184. Let u(t) be the third derivative of p*t**3 + 1/320*t**6 + 0*t - 15*t**2 - 5/64*t**4 + 0 - 1/80*t**5. Suppose u(f) = 0. What is f? -2, 1, 3 Let o(b) be the third derivative of b**6/600 + b**5/5 + 27*b**4/10 - b**2 + 1128*b - 2. Determine c so that o(c) = 0. -54, -6, 0 Factor 1/7*b**2 + 6/7*b + 8/7. (b + 2)*(b + 4)/7 Suppose r + 2 = -5*p - 11, -5*p - 11 = 2*r. Let q(h) = -4*h**3 - 2*h**2 - 9*h + 2. Let k be q(p). What is l in l**2 - 96*l - 37 - 5*l**2 - 658 + k = 0? -12 Let 1/2*a**4 - 3/2*a**2 + 3/2*a**3 - 3 - 11/2*a = 0. What is a? -3, -1, 2 Solve 1978/3*d + 2*d**2 - 220 = 0 for d. -330, 1/3 Solve -2/3*z**5 + 0 + 44/3*z + 2*z**3 - 22/3*z**4 + 70/3*z**2 = 0 for z. -11, -1, 0, 2 Let p(m) = -15*m**4 + 6*m**4 + 2*m**2 + m**4 + 9*m**4 + 1. Let o(g) = 2*g**5 + 9*g**4 + 4*g**3 - 6*g**2 - 6*g + 1. Let c(j) = o(j) - p(j). Factor c(z). 2*z*(z - 1)*(z + 1)**2*(z + 3) Let x(c) be the third derivative of -c**6/30 + 83*c**5/60 - 131*c**4/24 - 19*c**3/3 + 254*c**2. Factor x(z). -(z - 19)*(z - 2)*(4*z + 1) Let w(m) be the second derivative of 0*m**2 + 2/3*m**3 + 3*m - 14 - 1/3*m**4. Let w(x) = 0. Calculate x. 0, 1 Suppose 591*w**2 + 777*w**2 - 128*w**2 + 805*w**2 + 335*w**4 - 619*w - 180 - 1615*w**3 + 34*w = 0. Calculate w. -12/67, 1, 3 Determine v so that 84/5*v**3 - 2*v**4 - 182/5*v**2 - 1/5*v**5 - 48/5 + 157/5*v = 0. -16, 1, 3 Let z = 442 + -437. Suppose -3 = -3*a + 3*d + 6, 12 = z*a - 4*d. Factor a*p - 2/9*p**5 - 2/9*p**4 + 0 + 2/9*p**3 + 2/9*p**2. -2*p**2*(p - 1)*(p + 1)**2/9 Let g(v) be the third derivative of -v**5/40 - 17*v**4/16 - 35*v**3/2 - 1445*v**2. Let g(t) = 0. Calculate t. -10, -7 Let t(q) = -q**5 + q**4 + q**3 - 1. Let r(w) = 10*w**5 + 14*w**4 + 22*w**3 + 12*w**2 + 6. Let a(l) = r(l) + 6*t(l). Determine d so that a(d) = 0. -3, -1, 0 Let p(n) be the first derivative of n**3/9 - 83*n**2 + 20667*n + 224. Find f, given that p(f) = 0. 249 Let d(i) be the second derivative of 1/30*i**6 + 2/3*i**3 - 19 + 2/3*i**4 + 0*i**2 + 3*i + 1/4*i**5. Determine h, given that d(h) = 0. -2, -1, 0 Let u(a) be the third derivative of -a**7/1575 - a**6/75 + a**5/450 + a**4/15 - a**2 - 969*a. What is g in u(g) = 0? -12, -1, 0, 1 Factor 6*s**2 + 10*s + 0 + 1/2*s**3. s*(s + 2)*(s + 10)/2 Let q(j) = -10*j + 28. Let n be q(7). Let b be (-222)/n - 4/14. Suppose 3*m**b - 7*m + 3 + 8*m**3 - 2*m**3 - 2*m + 0*m**3 + 6*m**2 - 9*m**4 = 0. Calculate m. -1, 1 Factor 107*f**2 - 4*f**2 - 30*f + 69*f**3 + 4*f**4 - 2*f**3. f*(f + 2)*(f + 15)*(4*f - 1) Solve 0 - 152/5*y - 148/5*y**2 + 4/5*y**3 = 0 for y. -1, 0, 38 Determine l, given that -992*l + 64 - 2508*l**2 - 697*l**2 + 7049*l**2 = 0. 4/31 Let f(i) be the first derivative of -i**5/5 + i**4/4 + i**2 - 18. Let a(h) = 2*h**4 + 36*h**3 + 14*h**2 + 12*h. Let z(j) = a(j) - 8*f(j). Factor z(m). 2*m*(m + 1)*(m + 2)*(5*m - 1) Suppose 4*x - 13 = -3*c, 10 = -5*x - c + 6*c. Let f be 101/4 - ((-3)/4 + x). Solve -9*v**2 + 2*v**2 + 2*v**2 - 23 - 7 - f*v = 0. -3, -2 Let w = -25229703/4565 + 60814/11. Let r = w + 2/83. Factor 0 + 0*z - 3/5*z**3 + r*z**2. -3*z**2*(z - 3)/5 Suppose 158 = l - 7. Determine t, given that 2*t**3 - 14*t**2 + 2 - 80*t - 81*t + l*t + 6*t**3 = 0. -1/4, 1 Suppose -3*k - 3*g = -21, 3 = 8*g - 5*g. Suppose -2*d = -3*u - 3*d + 4, -2*u + d = -k. Let 0 - 10/9*f**3 + u*f**2 + 4/9*f = 0. Calculate f. -1/5, 0, 2 Let s be (-74700)/(-32370) - 17826/(-117). Factor 4/3*t**2 + 13456/3 + s*t. 4*(t + 58)**2/3 Let a(v) be the third derivative of -1/14*v**5 + 15 + 0*v - 1/210*v**6 + 4/21*v**4 - 4/21*v**3 + 1/147*v**7 - 2*v**2. Let a(r) = 0. Calculate r. -2, 2/5, 1 Let q(w) be the third derivative of -w**7/210 - 27*w**6/40 - 533*w**5/20 + 1681*w**4/24 + 1640*w**2. Factor q(p). -p*(p - 1)*(p + 41)**2 Let r(f) be the first derivative of f**8/560 - 3*f**7/140 + f**6/10 - f**5/5 + 5*f**3/3 + 3*f**2/2 + 93. Let x(g) be the third derivative of r(g). Factor x(i). 3*i*(i - 2)**3 Determine t, given that -3869893 + 24178*t**2 + 156*t**3 + 3648052/3*t + 1/3*t**4 = 0. -157, 3 Let k(i) be the second derivative of -2*i**6/25 + 429*i**5/100 - 276*i**4/5 + 143*i**3/2 + 75*i**2 + 336*i + 1. Determine l, given that k(l) = 0. -1/4, 1, 10, 25 Let n be (-2)/((-14)/(-6)*20/(-70)). Suppose 33*v**4 + v**3 - 3*v**2 + n*v**5 - 27*v**4 - 4*v**3 - 3*v**2 = 0. What is v? -2, -1, 0, 1 Let k(o) = -43*o**2 + 416*o - 253. Let r be k(9). Suppose -10*y + r - 1/2*y**3 + 4*y**2 = 0. Calculate y. 2, 4 Suppose -37/3*q**2 - 17*q + 32/3*q**4 + 14/3 + 20*q**3 = 0. Calculate q. -2, -1, 1/4, 7/8 Let c(u) = 10*u**4 + 22*u**2 - 16*u - 72. Let b(y) = 3*y**4 - y**3 + 2*y. Let o(w) = -4*b(w) + c(w). Factor o(i). -2*(i - 3)**2*(i + 2)**2 Let o(z) be the second derivative of -z**4/3 + 5*z**3/4 - z - 438. Determine y, given that o(y) = 0. 0, 15/8 Let i(d) be the second derivative of 1/30*d**5 + 8*d**2 + 1/3*d**3 + 0 - 1/6*d**4 - 19*d. Let h(w) be the first derivative of i(w). Factor h(k). 2*(k - 1)**2 Let -949/4*o - 673/4*o**2 - 131/4*o**3 - 102 + 1/4*o**4 = 0. What is o? -3, -1, 136 Let k(i) be the first derivative of 0*i + 1/30*i**4 - 8/45*i**3 + 1/5*i**2 - 45. Find w, given that k(w) = 0. 0, 1, 3 Determine k, given that 18550/3*k - 43504/9*k**2 + 10060/9*k**3 + 292/9*k**4 - 2500 + 2/9*k**5 = 0. -75, 1, 2 Let u(t) = -42*t**2 - 1. Let f(h) = 501*h**2 + 1905*h - 1890. Let o(d) = f(d) + 12*u(d). Factor o(z). -3*(z - 634)*(z - 1) Let c(d) be the second derivative of 3*d**5/20 - 3*d**4/4 - 11*d**3 + 36*d**2 - 6*d - 232. Solve c(z) = 0 for z. -4, 1, 6 Let t(h) be the second derivative of 2*h + 1/3*h**3 - 17/36*h**4 - 1/20*h**5 + 0*h**2 + 147. Determine z, given that t(z) = 0. -6, 0, 1/3 Let p(b) be the second derivative of -3/2*b**5 + 10/3*b**3 - 55*b - 35/12*b**4 + 25/2*b**2 + 0. Factor p(i). -5*(i + 1)**2*(6*i - 5) Let s(y) be the first derivative of -2*y**5/15 + 25*y**4 + 202*y**3/3 + 152*y**2/3 - 2862. Determine a, given that s(a) = 0. -1, 0, 152 Let j(t) be the first derivative of t**4/6 + 64*t**3/9 + 256*t**2/3 - 2938. Solve j(x) = 0. -16, 0 Let c(y) be the third derivative of 3/20*y**5 - 51*y + 0 + 19/840*y**6 + 2*y**2 + 1/735*y**7 + 9/14*y**3 + 27/56*y**4. Factor c(r). (r + 3)**3*(2*r + 1)/7 Suppose 4*n = -2*d - 24 + 58, 4*d - 50 = -5*n. Let -n*i - 58*i**2 + 2*i - 16 + 60*i**2 = 0. What is i? -2, 4 Suppose -15*c + 13*c + 1 - 1 = 0. Let x(a) be the third derivative of -5/4*a**3 + 17*a**2 + c + 1/40*a**5 - 1/4*a**4 + 0*a. Factor x(h). 3*(h - 5)*(h + 1)/2 Let b(q) be the second derivative of -9*q**3 - 1/6*q**4 - q - 22 + 0*q**2. Factor b(o). -2*o*(o + 27) Let w(p) be the third derivative of -p**7/280 - p**6/12 - 7*p**5/10 - 3*p**4 - 3*p**3/2 - 45*p**2. Let b(x) be the first derivative of w(x). Factor b(c). -3*(c + 2)**2*(c + 6) Let x(l) = -l**3 + 6*l**2 + 4. Let c be x(6). Let w be (16 - 8)*c/16. Factor 0 + 4/7*a**4 - 16/7*a**3 + 16/7*a**w + 0*a. 4*a**2*(a - 2)**2/7 Let t be (-38)/(3/15*-5). Let a = t - 113/3. Let 1/3 + a*s**2 + 2/3*s = 0. Calculate s. -1 Suppose 6 = 3*k + 9, -4*c - 4*k + 4 = 0. Let 541*g**c + 140*g**5 - 415*g**4 - 50 + 47*g + 49*g**2 + 10 - 25*g**3 - 27*g = 0. Calculate g. -1, -2/7, 1/4, 2 Let l(u) = -u**3 - 20*u**2 + 186*u - 81. Let x = -1147 + 1120. Let i be l(x). Factor 3/4*m**4 + i*m + 3*m**3 + 0*m**2 + 0. 3*m**3*(m + 4)/4 Let s(d) = 119*d**2 + 153*d + 25. Let q = 67 - 52. Let p(l) = 6 + 30*l**2 - 2*l - 11*l + q*l + 36*l. Let m(x) = -9*p(x) + 2*s(x). Let m(t) = 0. What is t? -1, -1/8 Let z be ((-32)/(-48))/((-4)/(-18)). Suppose -5*v = -3*v + z*s + 12, v + 4*s = -16. Let 1/2*p**3 + 2*p**2 + v + 0*p = 0. What is p? -4, 0 Factor 4/3*o**2 + 4/3*o - 1/3*o**3 - 16/3. -(o - 4)*(o - 2)*(o + 2)/3 Let u be (-4 + 1)*1/(-4). Let v be (124/(48608/(-252)))/((12/(-14))/1). Suppose v*n**5 +
{ "pile_set_name": "DM Mathematics" }
prime number? False Let k(j) = 3*j + 6. Let n be k(8). Suppose 0 = 3*u - u - 10, i + 5*u - n = 0. Suppose q + 196 = 5*q - i*c, -3*q = -5*c - 147. Is q a prime number? False Let t be -1*(-2 + (-2 - -2)). Let k be -25*(t - (-2 + 5)). Let r = k - 15. Is r prime? False Let n be 5*-58 + 0 + -2. Is n/(-20) - (-4)/10 a composite number? True Let p be (74 + (-6)/(-2))/1. Let x = p + -40. Is x prime? True Let q(t) = -t + 51. Let i be q(0). Suppose 0*c - 3*c - 5*z + 82 = 0, 4*c - 5*z - i = 0. Is c composite? False Suppose -2*f - 11332 = -6*f - t, -8499 = -3*f - 3*t. Is f a composite number? False Suppose k + k + 3*n - 14 = 0, 5*n - 45 = -5*k. Suppose 0 = -0*b - b + k. Is b a composite number? False Let n be 1/(-1) - (-194)/2. Let i(l) = l + 2. Let y be i(2). Suppose -y*t - 20 = -n. Is t prime? True Is (130/(-14) - -9) + 11853/7 prime? True Let i = 22 - 16. Suppose 240 = i*m - m. Suppose -13 = p - m. Is p a prime number? False Let l = -5441 - -7774. Is l composite? False Let d(s) = s**3 + 6*s**2. Let k be d(-6). Suppose -z - 4 = -k. Let p(a) = a**2 + 2*a - 1. Is p(z) a prime number? True Suppose -4*x = 12, 0*x = -3*l + x + 9. Let i be l - 1 - 58/(-2). Suppose -y - i = -5*w, -2*y = -0*y. Is w composite? True Let n be (-2)/(-3)*(7 + -1). Suppose 2*m + n = 3*y, -y + m = -0*y. Suppose -y*x + 49 = -27. Is x a prime number? True Let o be (-20)/4*(-54)/10. Suppose 248 = -0*j + 4*j. Let u = o + j. Is u a prime number? True Suppose -5*q + 2*p = 31, -p - 10 = 4*p. Let o = q - -258. Is o prime? True Let b(f) = -13*f - 34. Is b(-20) prime? False Let g(o) = -7*o + 1. Let f be g(-4). Let s = 2 + f. Is s prime? True Suppose -6*d = -11*d + 1040. Let n = d + -14. Is n a prime number? False Suppose 281 = 5*q - 344. Suppose -15 = 3*a, -2*h + 2*a + q = -63. Is h a prime number? True Suppose 3*l + 16 = -y, 2*l - 4*l = -5*y + 5. Suppose 5*g = -k - 617, 365 = 2*g - 5*g + 2*k. Is g/(-4) - l/20 prime? True Is ((-2175)/(-9) - 2)*6 prime? False Suppose -5*f = -2*p - 25, -6*f + 3*p + 20 = -2*f. Suppose 0*r = f*r - 175. Is r a composite number? True Suppose -456 = -4*p + 52. Is p prime? True Is (-11)/77 - 7/(49/(-21078)) a prime number? True Let z(v) = -59*v**3 + v**2 - 1. Let t = -12 + 11. Is z(t) composite? False Suppose -v + 5*h = -33, 0 = -v - 0*h + 2*h + 21. Is v a composite number? False Suppose 0 = -6*n - 1834 + 5872. Is n prime? True Suppose 2*f = -3*f - 5*i + 85, -3*i = -15. Is f/(-18)*(-465)/2 prime? False Is (-8487)/(-3) + 0 + -2 composite? True Suppose 0 = 3*g + 3*b - 195, -4*b - 239 = -4*g + 21. Is g a prime number? False Let c(j) be the third derivative of j**5/60 - 7*j**4/12 + 2*j**3/3 - 5*j**2. Is c(15) a composite number? False Let m(y) = -y**3 + y**2 - y - 1. Let x be m(-1). Suppose 1 = -p - x*p - w, -4*w = 2*p - 6. Is ((-1)/2)/(p/74) a prime number? True Let t = 6 + -14. Let j(s) = s**2 + 5*s - 5. Is j(t) composite? False Suppose 0 = -4*w + 6574 - 2378. Is w a prime number? True Let s = 5 - 5. Let d be -100 + (0 - s)/2. Let h = d + 239. Is h composite? False Let g(n) = 386*n**2 + 4*n - 4. Let b be g(2). Is b/8 + 3/6 a composite number? True Let n(w) = -3*w + 6. Let k be n(4). Let b be (-550)/k - (-2)/6. Let q = b + -13. Is q a prime number? True Let d be (-1283)/(-4) - 7/(-28). Let i = -154 + d. Is i a prime number? True Let m = -246 - -359. Is m prime? True Suppose 5*c + 5*a = 40, -c = -6*c - a + 44. Let m be -3*1*(-222)/c. Suppose 3*o - m = o. Is o composite? False Suppose -20 - 6 = -c. Suppose g - c = 185. Is g composite? False Let z be (-23)/3 - 2/6. Let i be 84 + ((-2)/1)/(-2). Let h = z + i. Is h a composite number? True Let r = 299 - 174. Suppose 5*k - 10 = 0, -a - 5*k + r = -0*k. Is a a prime number? False Let i(p) = p**3 + 4*p**2 - 2*p - 4. Let b be i(-4). Is ((-4)/3)/(b/(-42)) composite? True Let c be 35/14*12/10. Suppose -5*h - 5*t - 55 = 0, -3*h - 5*t + 10 = 45. Let r = c - h. Is r prime? True Suppose 0 = -2*m + 3433 - 315. Is m a prime number? True Let i(z) = -z**3 + 4*z**2 + 7*z - 1. Let m be i(5). Let n(f) = -7 + f**2 - 6 + 2 + f. Is n(m) prime? True Suppose p - 4*p - 482 = -n, -3*n = -3*p - 1428. Is n prime? False Is 9/((-27)/(-8690)) - (-1)/3 prime? True Suppose -3*m = -t + 53 - 250, m + 5*t = 87. Suppose -2*r + 31 = -m. Is r prime? False Let l = 9 - 7. Suppose 7 = l*j - 0*a + a, 3*a + 45 = 5*j. Is j a prime number? False Suppose 32*u - 25*u - 2954 = 0. Is u prime? False Let h(n) be the third derivative of -n**2 - 1/3*n**3 + 0 - 43/24*n**4 + 0*n. Is h(-3) prime? True Let h = 2378 + -849. Suppose -a + 618 = 2*c + a, -5*c - a + h = 0. Is c composite? True Let w = -5 + 10. Suppose 3*c + 2*c + 5*o - 1585 = 0, w*o = -10. Is c a prime number? False Is 6/4*(-9070)/(-15) a prime number? True Let n = -351 - -518. Is n a composite number? False Let v = -3238 + 5139. Is v a prime number? True Suppose -5*b + 3*b = -4. Let w(t) = -t**3 - t**2 + 4*t - 1. Let o be w(-3). Suppose -2*z = -o*k - 0*z + 249, -b*k = -2*z - 102. Is k a composite number? True Let v(f) = 31*f + 8. Let j be v(3). Is (j + 5)*1/2 composite? False Let n(k) be the second derivative of k**4/4 - k**3/3 - k**2 + k. Let i be 5 - (1 - (-6)/3). Is n(i) a prime number? False Let r be (19/(-4))/((-2)/8). Suppose r = -0*f + f. Is f prime? True Suppose 7 = -4*k + 31. Let n(d) = 10*d**2 + 3*d + 1. Is n(k) a composite number? False Let t(o) = -o**2 + 5*o. Let u be t(4). Suppose -4*d = 2*y + 5 - 1, -u*d = -4. Let k(l) = -2*l**3 + l**2 + 2*l - 3. Is k(y) a prime number? False Is 7/((-4)/(84/(-3))) a prime number? False Suppose -q + 2*i = -4*q + 749, 4*q = 3*i + 1027. Is q prime? False Suppose -4*g + 0*g = 2*m - 142, -m + 170 = 5*g. Is g a composite number? True Suppose -9 = 3*w - 3*m, -5*m - 12 = -m. Let t(p) = -p - 8. Let l be t(w). Is l + -3 + 0 + 418 a prime number? False Let k(u) = -7*u. Let t(p) = -4*p. Let i(z) = -3*k(z) + 5*t(z). Let l be i(-3). Is 113 - ((-2 - l) + -1) a prime number? True Let y(l) = 349*l - 16. Is y(3) a prime number? True Let q(x) = -89*x + 3. Let t be q(-3). Suppose 3*s = -3*k + t, -2*s = k + 2*k - 267. Is k a prime number? False Let g(o) = 2*o**3 - 6 - 3*o**3 + 3*o**2 + 5*o**2. Let j be g(9). Let f = -20 - j. Is f a composite number? False Let g = -43 - -80. Is g prime? True Suppose -2*y = 2*o + 3*y - 127, -4*y = -20. Is o a composite number? True Let o = -4 - 2. Let s(g) = g**3 + 7*g**2 + 6*g. Let p be s(o). Suppose 267 = 3*f - m - 0*m, -4*m = p. Is f a prime number? True Let d be (2 + -868)/(-2) - 2. Let c = d + -308. Is c a prime number? False Let a(i) = i + 7. Let t = 3 + -10. Let k be a(t). Suppose k*g + 254 = 2*g. Is g a composite number? False Let o(j) = 2 + 5 - 3*j - 12. Is o(-4) prime? True Let q = 8 + -4. Suppose 174 = q*x - x. Let i = x - 23. Is i composite? True Let d = 1 - -1. Suppose -d*t - t = -15. Suppose 123 = 3*j - t*a, j + 2*a + a = 55. Is j composite? True Let l(y) = -6*y - 4*y - 3*y - 9 + 3. Is l(-5) prime? True Suppose 9 - 54 = 3*a. Suppose 5*i - 2*l = 80, 2*l = -4*i - 0*i + 64. Let g = i - a. Is g a composite number? False Let t be ((-28)/(-8) + -2)*-4. Let q = t + 25. Is q prime? True Let y = 3554 - 411. Is y a prime number? False Suppose -18 = 3*q + 12. Is -2*(-5)/(q/(-79)) a composite number? False Is 1 - 30*(0 + -1) a prime number? True Let o be (278/(-4))/(3/6). Let m = 15 - o. Suppose -4*h + 118 = -2*s - 92, -5*s - m = -3*h. Is h a prime number? True Let b = -411 - -610. Is b a composite number? False Suppose 58 = 5*c + 3*m - 35, -m + 38 = 2*c. Let p = -32 + c. Let j = p - -64. Is j a composite number? False Let y = 795 + 208. Is y a prime number? False Let f be (-3)/((-9)/6) - -10. Suppose -1 = -5*y + 4. Is 78/f + y/(-2) a composite number? True Suppose 207 = m - 5*q, -10*m = -9*m + 3*q - 199. Is m prime? False Suppose h + 2*d = 413, 2945 - 924 = 5*h - d. Let f = 590 - h. Is f composite? True Let r = 8 + -4. Suppose y + r*v - 126 = -y, 6 = 3*v. Is y composite? False Let l(p) be the first derivative of 72*p**2 + 3*p + 6. Is l(2) a prime number? False Suppose -3 = t, 3*l - t = 3 + 3. Is (l/2)/(4/72) composite? True Let x = 41 + -21. Let l(f) = 4*f + 5. Let q be l(-4). Let m = x + q. Is m a prime number? False Is (204/(-24))/((-1)/26) a composite number? True Let u = -7 + 12. Suppose 5*p + 4*n = -2804, -4*n - 2836 = u*p - 8*n. Is (-6)/(-15) + p/
{ "pile_set_name": "DM Mathematics" }
143*m**2 - 278028458 with respect to m. 552576286*m Find the second derivative of 5232*u**4 + 8*u**3 + 23*u**2 - 5*u - 204814 wrt u. 62784*u**2 + 48*u + 46 Find the third derivative of -204383841*c**5 - 559241629*c**2. -12263030460*c**2 Differentiate 99862*a*o**2 - 1452840*a + 9*o**2 with respect to o. 199724*a*o + 18*o Find the third derivative of 554450*b*n**3 + 38*b*n**2 - b - 6*n**3 + 4*n**2 - 33*n + 28 wrt n. 3326700*b - 36 What is the second derivative of 37*f**4 + 2*f**3 + 841334*f**2 - 1182942602*f? 444*f**2 + 12*f + 1682668 What is the second derivative of -8704414*v**2 + 515857314*v wrt v? -17408828 What is the second derivative of 18916322*v**2 - 60542610*v wrt v? 37832644 What is the third derivative of -381873*k*r**4 + k*r**3 - 4747*k*r**2 + k*r - r**4 - 5*r**3 - 28*r wrt r? -9164952*k*r + 6*k - 24*r - 30 Find the second derivative of -201985*b**3 - 136*b**2 - 2521899*b. -1211910*b - 272 What is the second derivative of 23022793*x**5 - 46580784*x wrt x? 460455860*x**3 Find the second derivative of -330173258*n**2*w**2 - 119*n*w**2 + 10*n*w - 19110*n - 2*w**2 - 2*w wrt n. -660346516*w**2 Find the first derivative of 121172766*a*g - 79383358*g wrt a. 121172766*g What is the second derivative of 848805826*v**3 - 150*v - 164112 wrt v? 5092834956*v Find the second derivative of -61529980*y**2 + 5019*y + 738 wrt y. -123059960 Differentiate 33585*g**2*h**4 + 1307448*g**2 - 3*g + 78*h - 1 with respect to h. 134340*g**2*h**3 + 78 Find the third derivative of -2*u**6 - 125745*u**4 + 4*u**3 - 6598096*u**2. -240*u**3 - 3017880*u + 24 Find the third derivative of -5468147*x**3 - 235523*x**2 - 2*x wrt x. -32808882 Find the first derivative of -431*b**2*c*v + 3*b**2*c + 16766*b**2*v - 22323*c*v - 2*c - 5*v + 79 wrt b. -862*b*c*v + 6*b*c + 33532*b*v What is the first derivative of 4*c**3 + 6401948*c - 123168166? 12*c**2 + 6401948 Differentiate 1545*t*w - 593980*t + 14291*w - 8 wrt w. 1545*t + 14291 What is the second derivative of 1399586684*f**2 - 22294*f - 11462? 2799173368 What is the third derivative of -659916101*a**6 + 2*a**4 - 959953763*a**2? -79189932120*a**3 + 48*a What is the derivative of 554*b*v**3 + b*v**2 + 4*b*v - 192*b - 10*v**3 - 3886*v**2 + 2*v + 14 wrt b? 554*v**3 + v**2 + 4*v - 192 What is the derivative of -852930*c**4 - 421*c + 24754789 wrt c? -3411720*c**3 - 421 What is the third derivative of 2*c**5 - 7602*c**4 + 3390*c**3 + 1315770*c**2 + 11 wrt c? 120*c**2 - 182448*c + 20340 What is the derivative of -166*o**4 - 2818*o**3 - 2*o**2 + 431209 wrt o? -664*o**3 - 8454*o**2 - 4*o What is the second derivative of -1046*v**4 + 67627*v**2 - 462679*v - 1? -12552*v**2 + 135254 Find the third derivative of -121080808*u**4 - 28041977*u**2 wrt u. -2905939392*u What is the second derivative of 214212411*x**2 + 383866848*x? 428424822 What is the derivative of 2*d**3*n*o + d**3*n - 2*d**2*n + 17*d*n + d + 11650331*n*o**2 + 5701*n wrt o? 2*d**3*n + 23300662*n*o What is the first derivative of -30460170*o**4 + 21423953 wrt o? -121840680*o**3 What is the second derivative of 9323633*v**2 + 1427839412*v wrt v? 18647266 What is the third derivative of 8579*u**4 + 1629*u**3 - 18880369*u**2 - 1 wrt u? 205896*u + 9774 Find the third derivative of -168431279*z**6 - 158818367*z**2 wrt z. -20211753480*z**3 Differentiate 73991176*m + 132307662 wrt m. 73991176 Find the third derivative of -8992316*f**5 + 17588701*f**2. -539538960*f**2 Find the second derivative of -29996281*l**2*y + 2*l*y - 23*l + 8368231 wrt l. -59992562*y Differentiate 4256427*p**2 + 8817058. 8512854*p What is the second derivative of 1916*p**5 + 76*p**4 + p**3 + 55367059*p? 38320*p**3 + 912*p**2 + 6*p Find the first derivative of -5135*f*k**3 - 2318*f*k**2 + 67842564*f wrt k. -15405*f*k**2 - 4636*f*k What is the second derivative of -247012601*n**2*s + 4*n*s + 78*n + 25453 wrt n? -494025202*s Find the third derivative of 183794317*l**4 - l**2 + 81011799*l wrt l. 4411063608*l What is the third derivative of -44627*t**5*z**2 + 10*t**3*z**2 + 47*t**2*z + 48*t**2 + 8*t*z**2 + t*z + 2*z wrt t? -2677620*t**2*z**2 + 60*z**2 What is the first derivative of -43821027*k*n + 4*k - 499736239*n wrt k? -43821027*n + 4 What is the derivative of 5*h**2*m + 82958044*h*m + 1035646081*m wrt h? 10*h*m + 82958044*m Find the third derivative of 2*u**4 + 13350144*u**3 - 26159*u**2 + 34. 48*u + 80100864 What is the derivative of 249124113*p**2 - 592321829? 498248226*p What is the second derivative of -6538254*m**2*w**3 + 2*m**2*w - 6*m*w**3 - 56*m - 468*w**3 + 28*w**2 wrt m? -13076508*w**3 + 4*w What is the third derivative of 157*d**6 - 223353*d**4 + 649237114*d**2? 18840*d**3 - 5360472*d What is the first derivative of -44*c**2 - 82269*c + 3216813? -88*c - 82269 What is the third derivative of -8687317*d**3 + 277534397*d**2? -52123902 Differentiate -3*j**2*w + 5419*j**2 - 45808*j*w + 30316*j + 20*w with respect to w. -3*j**2 - 45808*j + 20 Find the second derivative of -27796*g**3*t**3 + 72*g**3*t**2 + g*t**2 + 5*g*t - 2*g - t**3 - 67196*t**2 - 2 wrt g. -166776*g*t**3 + 432*g*t**2 What is the derivative of 25487116*t + 45674917? 25487116 Find the second derivative of 179795*g**4*j**3 - 13*g**3*j + 7*g*j**3 + 563208*j**3 wrt g. 2157540*g**2*j**3 - 78*g*j What is the second derivative of 5291271*o**2*z**2 + 15*o**2*z + o*z + 23963*z wrt z? 10582542*o**2 What is the second derivative of -255*d**5 - 55*d**4 - 5*d**2 + 59109704*d? -5100*d**3 - 660*d**2 - 10 Differentiate 37847622*s**3 - 42853484 wrt s. 113542866*s**2 What is the derivative of -2*f**2*v - 53601*f**2 - 24*f*v + 21612595*v wrt f? -4*f*v - 107202*f - 24*v What is the third derivative of -101455133*p**3 + 59692288*p**2? -608730798 Find the third derivative of 7680559*r**6 + r**3 - 9961*r**2 + 33 wrt r. 921667080*r**3 + 6 Differentiate 9*l*u - 32893*l - 7986*u + 32 wrt l. 9*u - 32893 What is the second derivative of 61733254*h**3 + 3*h**2 + 196315563*h wrt h? 370399524*h + 6 What is the second derivative of 3*f**4 - 1347381*f**3 - 2*f**2 + 10*f - 3922994 wrt f? 36*f**2 - 8084286*f - 4 Find the second derivative of -2849*i**5 + 1230*i**3*l**2 + 2*i**2 + 108*i + 41*l**2 + 13*l - 4 wrt i. -56980*i**3 + 7380*i*l**2 + 4 What is the first derivative of 4*b*r*t + 33735*b*r - 3*b*t - 13*b + 36933716*r*t wrt b? 4*r*t + 33735*r - 3*t - 13 Differentiate 90650180*i**2*t + 3444*i**2 + 2*i + 2324 with respect to t. 90650180*i**2 Find the first derivative of 33919121*h**3 - 37293393. 101757363*h**2 Differentiate 175*m*p**3 + 291*m*p - 3*m - 28*p**3 - 5*p**2 - 2992*p with respect to m. 175*p**3 + 291*p - 3 What is the third derivative of -810721*a**3*h**2 + 6*a**3*h*z - 6*a**3*z - 90*a**2*h**2 - 2*a*h**2*z - 191945*a*h**2 wrt a? -4864326*h**2 + 36*h*z - 36*z Find the third derivative of 34195057*z**6 + 127872409*z**2. 4103406840*z**3 Find the first derivative of 4521167*m**2*p + 645*m**2 - 11510*m + p wrt p. 4521167*m**2 + 1 What is the second derivative of 280901*a**2*n**2 - 4*a**2*n + 21214*a*n - 2*a - 2*n**2 + 2*n wrt a? 561802*n**2 - 8*n What is the third derivative of -8311438*l**4 - 1983554*l**2? -199474512*l Find the third derivative of 74923523*m*n**3 + m*n**2 + 64*m*n - 2*m - 4*n**2 - n + 15 wrt n. 449541138*m Find the second derivative of 133211007*o*x**2 - 2*o*x - 20*x - 94413 wrt x. 266422014*o What is the second derivative of -1950*q**4 - 2*q**3 - 668*q**2 - 55371852*q wrt q? -23400*q**2 - 12*q - 1336 What is the second derivative of 366*d**4 + 1346*d**3 + 13*d**2 - 19087*d - 39 wrt d? 4392*d**2 + 8076*d + 26 What is the third derivative of -378*z**4 - 51182*z**3 + z**2 - 74355*z - 12 wrt z? -9072*z - 307092 Find the second derivative of -12*k**2*l*p*s - 194*k**2*l - 5353*k**2*p*s + 2*k*l*p + 148*k*l*s + 6*k + 2*l*p*s - 303*l*s - 6*p wrt k. -24*l*p*s - 388*l - 10706*p*s What is the first derivative of -2*q**3 + 1488*q - 2504567? -6*q**2 + 1488 What is the third derivative of -3*h*j**4 + h*j**3 - 4679*h*j**2 + 2*h*j + h - 79232*j**4 - j**3 + 3*j**2 + 7 wrt j? -72*h*j + 6*h - 1901568*j - 6 What is the second derivative of -2*b**2*q - 1380532*b**2 + 52*b*q - 12*b - 2098*q wrt b? -4*q - 2761064 What is the second derivative of 1237*m**3 + 1251*m**2*r**3 + m**2*r**2 - 69920*m*r**3 - r**3 + 3*r**2 - 3*r wrt m? 7422*m + 2502*r**3 + 2*r**2 What is the
{ "pile_set_name": "DM Mathematics" }
in the form g*s**4 + w + c*s**3 + a*s**2 + y*s and give g. -17 Express -54*d**2 + 24*d**2 - 9*d**3 + 28*d**2 in the form c*d + a*d**3 + l*d**2 + v and give l. -2 Express -d + 2*d - 7*d + (6 + 0 - 5)*(3*d - 4*d - 3*d) in the form j*d + b and give j. -10 Express m**3 - m + 3*m**3 + 2*m**4 + 0*m + 3*m**2 - 2*m**3 in the form w*m**4 + z*m + x + d*m**3 + i*m**2 and give i. 3 Express -112*f**2 + f**4 + 5*f**3 + 0*f**3 + 111*f**2 + 3*f as r*f**2 + v*f**3 + m*f**4 + g + p*f and give m. 1 Rearrange 0*o**3 - 2*o**3 - 1 + 3*o**3 - 1 + 2*o to u + l*o**2 + r*o**3 + t*o and give t. 2 Rearrange -25*s**3 - 113*s**2 + 113*s**2 + (0*s + 0*s - s)*(-s + s + s**2) to the form i*s**2 + r + u*s + d*s**3 and give d. -26 Express -1 + 6 - 5 - 32*r**2 as m*r + z + w*r**2 and give w. -32 Rearrange (-i + 2*i - 3*i)*(1 + 2 + 0)*(4 + i - 4) to the form x*i + d*i**2 + y and give d. -6 Rearrange (-2*h - 3 + 3)*(28*h**2 + 43*h - 43*h) to the form r*h**2 + m + j*h**3 + g*h and give r. 0 Express -8 + 2*m**2 - 10*m**4 + 4*m**4 + 6 + 2*m**3 as b*m**2 + o*m**4 + f*m**3 + t*m + a and give a. -2 Rearrange (1 + 2*f + 5*f - 6*f)*(40 + 8*f - 40) to the form k*f + r + w*f**2 and give w. 8 Express (4*c - 2*c + 0*c)*(-2 - 3 + 1)*(2 - 3 - 2) in the form r*c + o and give r. 24 Rearrange (-14*u + 18*u + 24*u)*(-3*u**2 - u**2 + 5*u**2) to the form n*u + w + t*u**3 + d*u**2 and give t. 28 Express 4*d - 5*d**4 - 37*d**2 + 2 + 35*d**2 + 3*d**4 in the form v + y*d**4 + a*d**2 + x*d + n*d**3 and give v. 2 Express -77*r + 3 - 3 + 3*r**2 + 42*r as y*r**2 + v + q*r and give q. -35 Rearrange -89*d**2 + 3 - 6*d**4 + 87*d**2 - 1 + 2*d**3 to x*d**3 + g + o*d**2 + y*d + q*d**4 and give o. -2 Express -48*s**3 + 118*s**3 - 119*s**3 + (3 + s**2 - 3)*(-2*s - 3 + 3) as t*s**2 + l + d*s + f*s**3 and give f. -51 Express -a**2 + a**2 + 2*a**3 + (-2*a + 0*a - a)*(0 + 0 - a)*(0*a - 2*a + 5*a) as s*a**3 + l*a + z + y*a**2 and give s. 11 Express 3*g**2 - 4*g**2 + 4 - 2 - 2*g**2 as j*g**2 + f + n*g and give j. -3 Rearrange (z - 1 + 1)*(-10 + 1 - 6) - 3*z - z + 6*z + (0 - 4 + 2)*(-3 + 3 - z) to q + w*z and give w. -11 Express (q**2 - q**2 + q**2)*(-4 + 0 + 1) + 0*q**2 + 5*q**2 - 2*q**2 + (-2*q**2 - 3*q + 3*q)*(-1 - 2 + 5) in the form f*q + x*q**2 + c and give x. -4 Express d**2 - 3*d**4 - 100 + 6*d**4 + d**3 + 98 in the form o*d**3 + c*d**2 + b*d**4 + s + i*d and give s. -2 Rearrange (0 + 3 + 1)*(16*p - 39*p + 6*p) + (3 - 3 + p)*(-1 - 2 + 4) to the form n + o*p and give o. -67 Rearrange (-2*b**2 - 2 + 2)*(-1 + 7 - 2*b + 0*b) to the form p*b**2 + c*b + k*b**3 + m and give k. 4 Rearrange 6*w - 5*w + 26*w**2 - 15*w**2 to the form k + b*w + f*w**2 and give f. 11 Express 4*q - 7*q + 5*q + 2*q as j + f*q and give j. 0 Express (4 + y - 4)*(-3*y + 0*y + 0*y) - 3*y**2 + 0*y**2 - 2*y**2 in the form w + x*y**2 + b*y and give x. -8 Rearrange (3*o**3 - 5*o**3 - 10*o**3 - 15*o**3)*(2 - 3 + 3) to h*o**3 + v + l*o**2 + s*o and give h. -54 Rearrange (3 + 3 - 4)*(i - i + 3*i)*(i + i + 0*i)*(2 - 2 + 7) to x*i**2 + h + m*i and give x. 84 Express (-4*h + 4*h - 3*h)*(22 + 24 + 2*h - 49) in the form f + w*h**2 + q*h and give w. -6 Rearrange (5*d + 3 - 3)*(8 - 1 - 3) + (-4 + 0 + 5)*(2*d - 2*d - 2*d) to the form f*d + z and give f. 18 Rearrange -w**2 + 30 + 29 - 54 to s*w + q*w**2 + r and give r. 5 Express 2*h**2 + h**3 + 2*h + 2*h**2 - h**2 - 3*h as a*h**3 + k*h**2 + c*h + b and give k. 3 Express 69*p**2 + 2284*p - 2284*p as a*p**2 + y + l*p and give a. 69 Rearrange -6*n + 2*n + 5*n + 5*n**2 to a + b*n + w*n**2 and give w. 5 Express (-15*l - 20 + 20)*(1 + 1 + 1) as f*l + y and give f. -45 Rearrange 0*c + 4*c - 9*c - 10*c to the form y + g*c and give g. -15 Express 6*r**2 + 4*r - 10*r**2 + 3*r**2 in the form k*r + b + h*r**2 and give h. -1 Rearrange 17*u - 19 + 19 to p + d*u and give p. 0 Rearrange ((4 - 2 - 5)*(5*y + 0*y - 3*y) - 2*y + 5*y - 2*y + 4*y - 7*y + y + 2*y + y - 4*y)*(2*y + 0*y - y) to the form c*y + r + x*y**2 and give x. -8 Rearrange (1 + 4*w**3 - 4*w**3 + 4*w**3)*(3 - 3 + 1 + (-6 + 2 + 3)*(2 + 4 - 3) + 3 + 2 - 4) to n + k*w**3 + p*w + l*w**2 and give n. -1 Rearrange 5 - 6 + 2*a**2 + 1 to s + z*a + w*a**2 and give w. 2 Rearrange 4*g**4 + g**2 + 1 + 4*g - 2*g**3 - 2*g**4 - 4*g to y*g + n + f*g**3 + x*g**4 + l*g**2 and give y. 0 Express (-3 + g + 3 + (1 - 1 - 2*g)*(0 + 1 - 3) + 2*g + g - 2*g)*(1 - 4 + 1)*(1 - 4 + 2) in the form d*g + a and give d. 12 Express -247 + 247 + 41*v as q*v + x and give q. 41 Rearrange 5*j - 2*j - 9*j - 9*j to t + m*j and give m. -15 Express l**4 + 2*l + 9 + 2 - 4 as t*l**3 + p*l**4 + g*l + i*l**2 + m and give g. 2 Express (g + 2*g - 2*g)*(2 - 3 - 1) + 3126 + 192*g - 3126 as j + t*g and give t. 190 Express 152*w**3 - 151*w**3 + 12*w**4 - 2*w**4 + 2*w**2 as g + s*w**3 + l*w**4 + f*w + v*w**2 and give v. 2 Rearrange 18*x**4 - 3*x**4 + 8*x**4 + 2*x**4 + 0*x**4 - 3*x**4 + (-3*x**2 - 2*x**2 + 3*x**2)*(-2 + 2 + x**2) to t*x + k*x**2 + f*x**3 + b*x**4 + g and give b. 20 Express -3*q + 2 + 2*q**2 - 3*q**2 + 2*q**4 + 5*q - q**4 in the form j*q**2 + v*q + z*q**4 + t*q**3 + n and give n. 2 Express 34*i - 18*i + 23*i as y + g*i and give y. 0 Express (0*z**2 + z**2 + 0*z**2)*(2 - 2 - 2*z) + 3447*z - z**2 - 3445*z + 1 + 10*z**3 - 2 in the form x + y*z**3 + v*z + u*z**2 and give u. -1 Rearrange -6*i**4 - 2 - 3*i**2 + 0*i**2 - i + 4*i**4 - i to the form q*i**3 + x*i**4 + w*i + z*i**2 + s and give x. -2 Express (-11 + 11 + 8*i)*(-3*i**2 + i - i + (-4 + 4 - 3)*(3*i**2 + 0*i**2 - 5*i**2)) in the form j*i**2 + r*i + o*i**3 + z and give r. 0 Rearrange (-1 + 1 - z)*(-z**3 - z + z) - 4*z**4 + 0*z**4 - 7*z**4 to the form h*z**2 + b*z + t*z**3 + s + f*z**4 and give f. -10 Express (72 + 6 + 67)*(0 + 0 + 2*r) in the form t + g*r and give g. 290 Express 4*m + 589 - 587 - 3*m**3 - m in the form f + o*m + p*m**2 + h*m**3 and give h. -3 Rearrange (-68*k - 23*k - 18*k)*(k + 1 - 1 - 2) to j + v*k + l*k**2 and give l. -109 Express (4*d - 3*d - 2 + 6)*(-15 + 8 - 35) as u + y*d and give y. -42 Express ((3 - 3 - 5)*(4 - 1 - 1) + 3 - 2 + 0)*(2*i**4 - 2*i**4 - i**4) as o*i + r + t*i**2 + k*i**3 + u*i**4 and give u. 9 Express -37*x**2 + 3 - x**3 - 3 + 35*x**2 as l*x**2 + o*x**3 + v + f*x and give o. -1 Rearrange -51*r - 13*r + 4*r to i*r + s and give s. 0 Express (0*b**3 + 2*b**3 + 0*b**3)*(3 + 37*b - 2 - 28*b) as u*b**2 + g*b**4 + z + s*b + m*b**3 and give g. 18 Rearrange -113*q**2 + 19*q**2 + 29 - 28 - 23*q**2 to u*q + t*q**2 + v and give v. 1 Rearrange (7*b - 5 - 21*b + 11*b)*(3*b - 3*b - 7*b) to u + k*b**2 + g*b and give k. 21 Rearrange (-3 - g + 3 + 1)*(-12*g**2 + 6*g**2 - 31*g**2) to r*g**2 + f + t*g**3 + v*g and give r. -37 Rearrange 4 - 2*y**2 - 4 + 18*y + 12*y**2 - 18*y + (0 + 0 + y)*(-5 + 5 + 2*y) to the form a*y**2 + t + z*y and give a. 12 Express -23 - 13*j**2 + 23 + (2*j - 4 + 4)*(2 - 2 + 2)*(0*j + j - 5*j) in the form i + w*j**2 + s*j and give i. 0 Express (-3 - 1 + 2)*(-3 + 8 - 4)*(0 - 2 + 0)*(2*p - 2*p - 2*p) in the form c*p + s and give c. -8 Express 116*q**4 + 0*q - q**3 + 2 - 115*q**4 + 3*q + 2*q**2 - 3*q**2 as k*q**4 + m*q**2 + u*q**3 + r + i*q and give m. -1 Express 2*w + 4*w - 4*w + (2*w - 4*w + w)*(1 - 5 + 0) + 4*w + w - 3*w + 4 + 2*w - 2*w + w + 3 - 2*w - 3 in the form m + k*w and give m. 4 Rearrange (2*f - 4*f + 0*f)*(-29*f + 14*f + 9*f - 3) to a*f + g + h*f**2 and give a. 6 Express (3 - 1 - 1)*(-3 + 0 + 1)*(-3*m - 14*m + 7*m) in the form u + a*m and give a. 20 Express (-21*j**4 - 86*j**4 + 2*j**4)*(-5 + 2 + 1) as p*j**3 + k + i*j + g*j**4 + w*j**2 and give g. 210 Rearrange -4*c**3 + 4*c**3 - 2*c**4 + (-3 + c + 3)*(969*c**3 - 1772*c**3 + 1004*c**3) to v*c + o + w*c**3 + t*c**4 + x*c**2 and give t. 199 Express -37 - u - 40 + 2*u - 15 in the form c + s*u and give c. -92 Rearrange (-2 - 4 + 4)*((-3*b + 0*b - b)*(-1 + 0 + 3) - 2*b + b + 0*b - b + 3*b - 3*b) to h*b + c and give c. 0 Express -4*a - a + 25*a in the form s*a + g and give s. 20 Express 1 - g - 1 + (g - 4*g + 2*g)*(2 + 2 - 2) + 4*g - 4*g + 7*g + (3 - 4 + 0)*(-5 + 5 + 2*g) as v + s*g and give s. 2 Rearrange (-53 + 42 + 28 + (5 - 2 - 1)*(-3 + 2 + 2))*(n - 4 + 4) to the form z*n + b and give z. 19 Express c - 7*c**3 - c + 0*c + 3*c in the form x*c**3 + j*c + t*c**2 + f and give x. -7 Rearrange (-2 + 2 + 2*x)*(135*x**2 + 9 - 4 - 5) to v + h*x**3 + t*x + i*x**2 an
{ "pile_set_name": "DM Mathematics" }
nd -1? 1748 3*-5.49 -16.47 Product of 1 and -0.029. -0.029 What is the product of -248.7 and 0.2? -49.74 Product of -4 and 19. -76 0.4 * -514 -205.6 What is -2 times -672? 1344 What is 2 times 1267? 2534 Product of -2 and 118. -236 Work out 0.4 * 213. 85.2 What is the product of 5 and 2? 10 Product of 0 and -274. 0 Multiply 15.12 and -0.2. -3.024 -8.7 times 0.26 -2.262 0.1 * -0.0526 -0.00526 -1174 * 0.5 -587 Multiply 2 and 242. 484 Product of 0.269 and 1. 0.269 Product of 6958 and -0.5. -3479 Calculate 1*-3.8. -3.8 Product of -25 and 0.139. -3.475 -3*-7.3 21.9 -2 times -16 32 -14680 * -0.5 7340 Product of 2.4 and 96. 230.4 Work out -0.8568 * 0.3. -0.25704 Product of 1 and 3.9. 3.9 What is 0.5 times 1167? 583.5 -137.8 times -1.5 206.7 What is the product of 0.44 and 0.2? 0.088 What is -2 times -35? 70 What is the product of 12.8 and 3? 38.4 Multiply -14 and 0.3. -4.2 Work out 1 * 662. 662 Work out 0.4 * -5. -2 -7634 * 0.4 -3053.6 Product of 0.2 and -3978. -795.6 Multiply 949 and -0.2. -189.8 Product of 269 and 0.2. 53.8 What is 148 times -0.19? -28.12 -0.7 times 4.487 -3.1409 Product of 0.32 and 8. 2.56 Work out 0.05 * 0.043. 0.00215 0.1*-2078 -207.8 What is -0.5 times 2.521? -1.2605 What is 228 times 1? 228 -24 * 14 -336 What is the product of -189.54 and -0.3? 56.862 28.497 times 0.5 14.2485 Calculate -2.5377*0.3. -0.76131 Product of -2.7 and 23. -62.1 Work out 0.2 * -1344. -268.8 Calculate 221*-0.9. -198.9 Calculate -0.3*-0.004. 0.0012 -0.06*-480 28.8 Work out 4 * -0.0806. -0.3224 0.09 times -40 -3.6 91 * 0.3 27.3 -96*0.12 -11.52 Work out -4 * 272. -1088 Work out 0.4 * 147. 58.8 0.4 times 140 56 -2.74 times 22 -60.28 -0.088*-0.26 0.02288 Multiply -215 and -5. 1075 What is the product of -0.5 and -5? 2.5 What is the product of 0.02 and -0.2? -0.004 What is the product of -0.67 and -28.4? 19.028 Product of 0.08 and 0.71. 0.0568 Work out 0.11 * 0.894. 0.09834 -0.4*405 -162 Product of -0.3 and -235. 70.5 Calculate 5*0.037. 0.185 7.1*-0.1 -0.71 Calculate -61*12. -732 Calculate 380*-0.2. -76 What is the product of -1 and -34.3? 34.3 Work out 4.72 * -5. -23.6 Work out 322 * 0.4. 128.8 Product of -11 and 43.7. -480.7 5*-0.17 -0.85 Product of 116 and 2.4. 278.4 -0.2*-108 21.6 What is the product of 0.2 and -1.26? -0.252 Product of -0.04 and 38. -1.52 Multiply 0.01 and 0.66. 0.0066 -3*-0.216 0.648 99.5 times 10 995 Work out -0.074 * 0.01. -0.00074 Work out -60.7 * -0.3. 18.21 Multiply -3 and 4. -12 -0.326 times 6 -1.956 Work out 1.74 * -0.1. -0.174 Product of -0.205 and 3. -0.615 -0.03*57 -1.71 What is 5 times -0.52? -2.6 0.6*-22 -13.2 -0.47 times -22 10.34 What is 0 times -0.101? 0 Work out 0.9 * 789. 710.1 Work out -10 * -18. 180 Work out -8.081 * 0.5. -4.0405 Multiply 0.5 and 0.39. 0.195 -0.4 times 132 -52.8 -0.046*6.4 -0.2944 -202 * -0.6 121.2 -0.28 * 0.02 -0.0056 Multiply 0.1 and -4.59. -0.459 1216 * -0.8 -972.8 3 * 1321 3963 Calculate -3174*0.3. -952.2 3 * -0.0375 -0.1125 0.0646*-2 -0.1292 19 times -108 -2052 Multiply 0.02 and 1433. 28.66 Work out 4911 * 1. 4911 What is -48 times 0.8? -38.4 What is -5 times 0.0445? -0.2225 What is -51 times -35? 1785 Multiply 0.074 and 14. 1.036 Multiply 3 and -26. -78 What is the product of 4775 and -0.4? -1910 -2*763 -1526 Multiply -0.16 and -27. 4.32 What is 0.09 times -0.0309? -0.002781 0.2 times -3 -0.6 470 * -0.2 -94 -14*-0.1 1.4 0.3*0.2121 0.06363 What is the product of 6.06 and 0.26? 1.5756 0 times 129 0 Work out -7.24 * 4. -28.96 -0.1 * -0.95 0.095 Product of -1219 and 0. 0 -60 * -0.4 24 What is -0.8 times 0? 0 Product of -30 and -5. 150 What is -103.1 times -0.4? 41.24 Product of 0.1 and -43. -4.3 0.37*0.1 0.037 4*1.25 5 What is the product of -4 and -2.17? 8.68 Product of -2 and -43.1. 86.2 What is 0 times -290? 0 Multiply 0.809 and 0.04. 0.03236 Work out 4 * -899. -3596 Product of 4.2 and 0.15. 0.63 What is 69 times -0.5? -34.5 What is the product of -3338 and 2? -6676 -0.4*-175 70 Multiply -2.26 and -4. 9.04 -65*-1.5 97.5 What is 0.2 times 3893? 778.6 11 * 1269 13959 What is the product of 0 and 3? 0 What is 428 times -0.2? -85.6 What is the product of -0.07 and -0.14? 0.0098 Calculate 0.5*-72. -36 -109.88*-5 549.4 What is the product of 0.07 and -66? -4.62 0.0885*-0.5 -0.04425 What is the product of -1 and 0.019? -0.019 Calculate 0.3*-1938. -581.4 What is the product of -47 and -1.6? 75.2 Calculate -0.06*25. -1.5 Calculate 0.0444*-0.5. -0.0222 Calculate -40221*-0.4. 16088.4 What is 35 times 1? 35 What is 0.5 times 1345? 672.5 What is 32.44 times 0.2? 6.488 0.69 times 0.4 0.276 What is 1.45 times -53? -76.85 What is the product of 5 and -0.05464? -0.2732 What is -7 times 64? -448 Work out -181 * 0.3. -54.3 Calculate 31.1*-2.9. -90.19 Work out -9 * -33. 297 What is -4.8 times -426? 2044.8 Work out 0.6 * 297. 178.2 46 * -0.1 -4.6 0.3 * -2801 -840.3 8 * 50 400 Calculate -0.1*-6.4. 0.64 Calculate 12*-93. -1116 Work out -2066 * 4. -8264 Work out 56 * 96. 5376 What is the product of -1.2 and -12? 14.4 Multiply -0.71 and 4. -2.84 Calculate 122.8*0.2. 24.56 4 * 47 188 -0.9 * -0.17 0.153 -6.2 times -0.076 0.4712 Calculate 99*-0.03. -2.97 Product of -4 and 228. -912 Multiply 4879 and -0.5. -2439.5 What is the product of 139 and -7? -973 Work out 5.2 * -0.53. -2.756 What is 3000 times 0? 0 4 * 0.0045 0.018 What is the product of -4.09 and 0.2? -0.818 Calculate -0.08*-4. 0.32 1.5 * -238 -357 -0.5 * 0.78 -0.39 5*4.3 21.5 What is the product of -0.1 and -224? 22.4 Work out 2 * 1153. 2306 What is 0.5 times 0.039? 0.0195 Calculate 0.07*10.3. 0.721 What is the product of 5 and -3.6? -18 Work out -129 * -0.3. 38.7 What is -5.21 times -5? 26.05 What is 0.1 times 0.2? 0.02 2.1*-0.085 -0.1785 Work out -9 * -0.59. 5.31 What is -16.85 times 5? -84.25 Multiply 0.89 and 27. 24.03 -0.0486 times -0.5 0.0243 Product of -0.2125 and -0.3. 0.06375 What is -2095 times 0.3? -628.5 0.2 * 9.04 1.808 What is the product of -7.4756 and 0.5? -3.7378 Multiply 1 and -0.1657. -0.1657 What is the product of -0.4 and -0.043? 0.0172 Multiply 0.1145 and 4. 0.458 Product of -79 and 1.1. -86.9 -23*-5 115 -102.4 * -0.4 40.96 Calculate -43*11. -473 Multiply -2 and -1068. 2136 8*-2 -16 -1131.2*-0.2 226.24 Multiply 0.5345 and -0.5. -0.26725 Work out -9 * -436. 3924 Work out 98.7 * 0.2. 19.74 What is 1 times -669? -669 Product of 0.1 and 0.2933. 0.02933 Calculate -17*1.5. -25.5 -0.2105 * -0.5 0.10525 0.4 * -0.236 -0.0944 Product of 0.33153 and 0.4. 0.132612 -120 times 2 -240 5 * 5.21 26.05 Calculate -105*6. -630 Work out -192 * 22. -4224 What is -4 times -133? 532 -4 times 0.169 -0.676 -6*-2157 12942 Calculate -0.46*3. -1.38 What is -0.338 times 0.4? -0.1352 0.05 times 98 4.9 -1 * -1660 1660 What is -15 times -67? 1005 What is 0.3 times 106.3? 31.89 -0.01 * 0.01 -0.0001 -304 * 2.1 -638.4 Work out -2 * -10. 20 Product of 253 and -0.1. -25.3 Calculate 0.6*0.025. 0.015 Calculate 4*116.8. 467.2 Product of 7 and -0.34. -2.38 Product of 1.1 and -1023. -1125.3 -5 times -19.8 99 8.7*0.3 2.61 Product of -2048 and 5. -10240 Calculate -6*291. -1746 What is 32 times -83? -2656 Calculate 25.6*0.5. 12.8 0.5 times -0.3 -0.15 Product of 64 and 0.02. 1.28 Product of 0.016 and 4. 0.064 Calculate 153*-4. -612 What is 4.7 times 0.4? 1.88 -830 * -0.9 747 Calculate 61*0.9. 54.9 Work out 0.3 * 0.536. 0.1608 -1477*-0.2 295.4 What is 1 times 7.5? 7.5 Product of -128 and -16. 2048 Product of 14.8 and -0.09. -1.332 Work out -87 * -4. 348 Calculate 1*-0.176. -0.176 Work out 0.63 * -4. -2.52 Work out 5 * 0.057. 0.285 0.14 times 22 3.08 What is the product of -2446 and 4? -9784 What is 0.0056 times -3? -0.0168 Work out -1 * -36.39. 36.39 -0.1 times -0.113 0.0113 Product of 186 and 0.1. 18.6 77 * -0.4 -30.8 What is the product of -2.4 and -86? 206.4 Calculate 3.5*0.7. 2.45 -1 times -18.6 18.6 1 times -1.39 -1.39 Multiply 0.3 and -37. -11.1 Work out 0.04218 * -0.3. -0.012654 Product of -57060 and -0.5. 28530 What is -626 times 5? -3130 Work out 0 * -0.008. 0 Multiply 1.51 and 5. 7.55 What is the product of 697 and 0.1? 69.7 -0.242 * -5 1.21 Calculate -1*-0.052. 0.052 What is 0.02 times 0.0399? 0.000798 Calculate 1*0.028. 0.028 What is 5 times -75? -375 What is the product of -0.6 and 24? -14.4 Calculate -223*1.5. -334.5 352*-0.26 -91.52 -0.197 times 1.48 -0.29156 Product of 2.
{ "pile_set_name": "DM Mathematics" }
418 What is 583 minutes before 1:20 PM? 3:37 AM How many minutes are there between 5:08 PM and 9:45 PM? 277 What is 132 minutes before 10:23 PM? 8:11 PM How many minutes are there between 11:14 PM and 5:09 AM? 355 What is 687 minutes before 1:38 PM? 2:11 AM How many minutes are there between 6:15 PM and 9:02 PM? 167 What is 625 minutes after 8:41 AM? 7:06 PM How many minutes are there between 6:56 PM and 12:27 AM? 331 How many minutes are there between 2:27 PM and 11:33 PM? 546 How many minutes are there between 12:21 PM and 5:49 PM? 328 How many minutes are there between 7:31 AM and 8:33 AM? 62 How many minutes are there between 11:54 PM and 1:10 AM? 76 How many minutes are there between 2:09 PM and 11:52 PM? 583 How many minutes are there between 7:36 PM and 9:20 PM? 104 How many minutes are there between 7:03 AM and 5:26 PM? 623 What is 35 minutes after 7:53 AM? 8:28 AM What is 175 minutes after 11:31 PM? 2:26 AM How many minutes are there between 6:34 AM and 3:54 PM? 560 What is 11 minutes after 2:49 PM? 3:00 PM How many minutes are there between 11:59 PM and 11:38 AM? 699 How many minutes are there between 2:02 AM and 11:19 AM? 557 How many minutes are there between 9:01 PM and 11:48 PM? 167 What is 444 minutes before 10:36 AM? 3:12 AM What is 117 minutes after 9:14 PM? 11:11 PM What is 293 minutes before 4:34 PM? 11:41 AM What is 706 minutes after 10:16 AM? 10:02 PM How many minutes are there between 7:13 PM and 5:49 AM? 636 What is 341 minutes after 11:15 AM? 4:56 PM What is 14 minutes after 9:25 AM? 9:39 AM What is 439 minutes after 11:30 AM? 6:49 PM What is 634 minutes after 5:04 AM? 3:38 PM How many minutes are there between 8:45 PM and 8:54 PM? 9 What is 663 minutes before 9:04 PM? 10:01 AM How many minutes are there between 4:54 PM and 9:57 PM? 303 How many minutes are there between 7:15 PM and 10:37 PM? 202 How many minutes are there between 9:13 AM and 5:23 PM? 490 How many minutes are there between 4:05 AM and 4:19 AM? 14 How many minutes are there between 6:18 PM and 4:05 AM? 587 How many minutes are there between 5:31 AM and 12:35 PM? 424 How many minutes are there between 1:54 PM and 11:51 PM? 597 What is 416 minutes before 7:50 AM? 12:54 AM How many minutes are there between 12:44 PM and 6:55 PM? 371 How many minutes are there between 7:28 PM and 8:16 PM? 48 What is 491 minutes before 11:12 AM? 3:01 AM How many minutes are there between 8:43 AM and 9:37 AM? 54 What is 652 minutes before 2:31 AM? 3:39 PM What is 184 minutes after 7:56 AM? 11:00 AM What is 424 minutes before 6:02 PM? 10:58 AM How many minutes are there between 10:33 PM and 8:28 AM? 595 How many minutes are there between 7:37 PM and 9:52 PM? 135 How many minutes are there between 2:19 PM and 10:53 PM? 514 How many minutes are there between 4:42 PM and 2:54 AM? 612 What is 327 minutes before 8:48 AM? 3:21 AM What is 432 minutes after 5:16 AM? 12:28 PM What is 546 minutes after 3:09 PM? 12:15 AM How many minutes are there between 8:53 PM and 7:45 AM? 652 What is 52 minutes before 11:52 PM? 11:00 PM What is 501 minutes before 9:15 PM? 12:54 PM How many minutes are there between 12:40 PM and 12:44 PM? 4 What is 279 minutes before 9:26 PM? 4:47 PM What is 559 minutes before 3:27 AM? 6:08 PM What is 474 minutes after 1:11 AM? 9:05 AM How many minutes are there between 11:27 AM and 11:52 AM? 25 How many minutes are there between 12:08 AM and 1:49 AM? 101 What is 366 minutes after 5:45 PM? 11:51 PM What is 386 minutes after 11:23 AM? 5:49 PM How many minutes are there between 1:52 AM and 5:15 AM? 203 What is 186 minutes before 1:07 AM? 10:01 PM How many minutes are there between 7:11 PM and 9:18 PM? 127 What is 244 minutes after 1:36 AM? 5:40 AM How many minutes are there between 1:47 PM and 10:15 PM? 508 What is 176 minutes before 5:42 PM? 2:46 PM What is 406 minutes before 11:02 PM? 4:16 PM What is 493 minutes before 10:57 AM? 2:44 AM How many minutes are there between 3:28 AM and 2:43 PM? 675 How many minutes are there between 3:36 AM and 1:08 PM? 572 What is 322 minutes before 10:06 AM? 4:44 AM How many minutes are there between 8:49 AM and 2:42 PM? 353 What is 67 minutes after 9:14 AM? 10:21 AM What is 630 minutes before 3:31 AM? 5:01 PM How many minutes are there between 6:25 PM and 11:28 PM? 303 What is 416 minutes after 1:23 PM? 8:19 PM What is 303 minutes before 11:40 AM? 6:37 AM How many minutes are there between 6:35 AM and 5:09 PM? 634 How many minutes are there between 1:04 PM and 1:54 PM? 50 What is 605 minutes after 5:29 AM? 3:34 PM How many minutes are there between 7:20 AM and 4:05 PM? 525 What is 387 minutes before 3:31 AM? 9:04 PM How many minutes are there between 4:05 AM and 9:01 AM? 296 What is 89 minutes after 6:25 PM? 7:54 PM What is 71 minutes after 8:02 AM? 9:13 AM What is 148 minutes after 12:06 PM? 2:34 PM What is 689 minutes after 8:03 PM? 7:32 AM How many minutes are there between 2:46 AM and 2:01 PM? 675 What is 132 minutes before 9:12 PM? 7:00 PM What is 291 minutes after 4:55 AM? 9:46 AM How many minutes are there between 9:41 PM and 3:08 AM? 327 What is 472 minutes before 10:17 PM? 2:25 PM How many minutes are there between 9:08 AM and 4:55 PM? 467 What is 710 minutes before 11:36 PM? 11:46 AM How many minutes are there between 3:26 PM and 8:39 PM? 313 What is 344 minutes after 2:49 AM? 8:33 AM How many minutes are there between 8:05 AM and 7:05 PM? 660 What is 96 minutes after 6:34 PM? 8:10 PM What is 468 minutes before 11:20 AM? 3:32 AM How many minutes are there between 6:47 AM and 4:58 PM? 611 How many minutes are there between 12:20 AM and 11:42 AM? 682 What is 459 minutes after 8:18 PM? 3:57 AM How many minutes are there between 4:05 PM and 10:18 PM? 373 How many minutes are there between 11:08 PM and 12:10 AM? 62 How many minutes are there between 3:26 PM and 11:28 PM? 482 What is 376 minutes after 8:22 AM? 2:38 PM How many minutes are there between 9:06 AM and 3:31 PM? 385 What is 252 minutes before 8:23 AM? 4:11 AM How many minutes are there between 12:29 AM and 9:13 AM? 524 What is 596 minutes after 8:24 PM? 6:20 AM What is 624 minutes after 3:46 AM? 2:10 PM What is 624 minutes after 2:02 PM? 12:26 AM What is 572 minutes before 8:49 PM? 11:17 AM What is 503 minutes after 3:34 AM? 11:57 AM How many minutes are there between 6:21 AM and 2:13 PM? 472 What is 502 minutes before 10:17 PM? 1:55 PM What is 327 minutes before 8:25 PM? 2:58 PM What is 530 minutes before 12:32 AM? 3:42 PM What is 466 minutes after 6:40 AM? 2:26 PM How many minutes are there between 10:35 PM and 5:47 AM? 432 What is 647 minutes before 12:37 PM? 1:50 AM How many minutes are there between 11:05 AM and 1:26 PM? 141 How many minutes are there between 11:40 PM and 10:00 AM? 620 How many minutes are there between 5:26 PM and 10:44 PM? 318 What is 675 minutes after 8:47 AM? 8:02 PM How many minutes are there between 8:11 AM and 7:38 PM? 687 What is 481 minutes before 9:43 AM? 1:42 AM What is 33 minutes after 8:59 AM? 9:32 AM What is 661 minutes before 10:20 AM? 11:19 PM How many minutes are there between 1:58 AM and 6:28 AM? 270 How many minutes are there between 11:59 AM and 2:14 PM? 135 What is 82 minutes after 11:53 AM? 1:15 PM What is 296 minutes before 12:06 AM? 7:10 PM What is 641 minutes before 6:10 PM? 7:29 AM How many minutes are there between 6:08 PM and 4:25 AM? 617 How many minutes are there between 4:23 PM and 3:44 AM? 681 How many minutes are there between 5:49 AM and 9:40 AM? 231 How many minutes are there between 1:46 PM and 7:09 PM? 323 What is 345 minutes before 3:52 AM? 10:07 PM What is 238 minutes before 6:45 PM? 2:47 PM What is 149 minutes before 7:42 AM? 5:13 AM How many minutes are there between 9:22 AM and 11:05 AM? 103 What is 144 minutes after 7:41 PM? 10:05 PM What is 243 minutes after 10:36 PM? 2:39 AM What is 639 minutes before 4:50 PM? 6:11 AM How many minutes are there between 1:24 AM and 11:23 AM? 599 How many minutes are there between 12:01 AM and 8:14 AM? 493 How many minutes are there between 4:48 AM and 6:55 AM? 127 How many minutes are there between 2:37 AM and 5:48 AM? 191 What is 576 minutes after 10:45 PM? 8:21 AM What is 387 minutes before 12:11 AM? 5:44 PM How many minutes are there between 5:18 PM and 7:19 PM? 12
{ "pile_set_name": "DM Mathematics" }
factors of v. 2, 53 Suppose -31*l = -28*l - 111. Let k(n) = -l*n - n**3 + 9 + 76*n - 36*n + 11*n**2. What are the prime factors of k(6)? 3, 23 Suppose 0 = -3*q - 4*f + 88, 3*q + 4*f - 68 = 5*f. Let u(d) = d**2 - 25*d + 40. What are the prime factors of u(q)? 2 Let h(r) = 855*r**3 + 2*r**2 + 3*r - 3. Let g be h(1). Let j = g - 441. What are the prime factors of j? 2, 13 Let a = 103 - -802. Suppose 6*g + a = -2035. What are the prime factors of g/7*(-4)/10? 2, 7 Let z(r) = r - 9. Let f be z(12). Suppose 0 = -8*j + f*j + 20. Suppose -2*h = -1 - 7, -j*h = b - 71. List the prime factors of b. 5, 11 Let n(s) = s**2 - 99*s - 5578. List the prime factors of n(-68). 2, 3, 107 Let w be -13 + 19 + (-6)/(-3). Suppose 3012 = w*n - 1340. What are the prime factors of n? 2, 17 Suppose 20958 = 3*r + 2*m - 48292, 5*r = -5*m + 115430. What are the prime factors of r? 2, 11, 1049 Let k(f) = 1975*f**2 - 11*f - 17. What are the prime factors of k(-2)? 3, 5, 17, 31 Let f(r) be the first derivative of 2*r**3/3 + r**2/2 - 5*r - 29. Let h(n) = -4*n**2 - 3*n + 10. Let g(o) = -7*f(o) - 4*h(o). List the prime factors of g(8). 163 Let u(c) = 17*c**2 + 66*c. Let t be u(-4). Suppose -3499 = -t*a + 8813. List the prime factors of a. 3, 19 Let n be 5/(-3) + (-4)/(-6) + 5. Suppose -2*o - 72 = 3*l - 248, n*o = -5*l + 350. What are the prime factors of o? 5, 17 Let r(d) = -2377*d - 1434. List the prime factors of r(-14). 2, 19, 419 Suppose 4*n - 44 + 8 = 0. Suppose 7*d - n*d + 32 = 0. Suppose 0 = d*c - 10*c - 324. What are the prime factors of c? 2, 3 Let q = -261 + 264. Suppose 3*a + z = 1613, 3*a + q*z - 6*z - 1617 = 0. List the prime factors of a. 2, 269 Suppose 14*w - 64245 = 41133. What are the prime factors of w? 3, 13, 193 Let g(i) = 1986*i - 1021. List the prime factors of g(2). 13, 227 Let f(b) = 10*b - 2. Let n be f(-4). Let v be 22/(-3) + 2/6. What are the prime factors of 566/12 - v/n? 47 Let l(p) be the third derivative of -2*p**4 - 4*p**2 + 10*p**2 - 21*p + 21*p. List the prime factors of l(-1). 2, 3 Let x(w) = -2*w**2 - 17*w + 7. Let y be x(-7). List the prime factors of 5788/y + (-38)/(-133). 3, 23 Suppose 5*s = -935 + 1025. What are the prime factors of ((-3)/(s/2913))/(2/(-4))? 971 Let u = -3 - -15. Suppose -u*y = -9 + 45. List the prime factors of (-14)/(y - 34/(-12)). 2, 3, 7 Let b = -447 + 449. Suppose 4*s = 3*n - 3927, 5*n - b*s - 3*s - 6545 = 0. What are the prime factors of n? 7, 11, 17 Suppose -104*p = -228*p + 1750260. List the prime factors of p. 3, 5, 941 Let o = 50 + -25. Let m = o + -15. Suppose m*c = 376 + 984. What are the prime factors of c? 2, 17 Let s = 2301 - 1244. Let r = s - -106. What are the prime factors of r? 1163 Let y = 223 - 233. What are the prime factors of -2 + y/(-5) + 522 + 4? 2, 263 Suppose 6*t = -5*t + 8173. Let s = t + -474. List the prime factors of s. 269 Suppose -8*i + 170272 = 4*n, 2*i - 4*n - 44932 = -2364. What are the prime factors of i? 2, 17, 313 Let y(m) = 59*m**2 - m - 4. Let q be y(-2). Let a = q + 285. What are the prime factors of a? 3, 173 Let t be ((-2)/4)/(0 - (-8)/(-80)). Suppose 2*n = t*s - 2, 0 = -4*s + 5*n - 4*n + 4. Suppose -6 = -3*d, 2*d = 5*x - s*d - 1237. List the prime factors of x. 3, 83 Let n(w) = 3*w**2 + 184*w - 170. List the prime factors of n(-82). 2, 3, 7, 13 Let j(p) = 122*p - 43. What are the prime factors of j(14)? 3, 5, 37 Suppose -a + 1068 = 68. Suppose -13*s + 17 - 30 = 0. List the prime factors of 3 - s - a/(-8). 3, 43 Let c = 540 - 535. Let z(g) = 23*g**2 - 9*g + 10. List the prime factors of z(c). 2, 3, 5 Suppose -801719 = -161*j + 984254. List the prime factors of j. 11093 What are the prime factors of 3/(-1) + ((-2)/18 - (-83592757)/1467)? 3, 13, 487 Let v be (-4)/(-2) + 2 - -198. Suppose 0 = v*f - 196*f - 2274. What are the prime factors of f? 379 List the prime factors of (-4)/(-34) - ((-804545)/119 + -1). 2, 3, 7, 23 Suppose 49452 = t - 114*u + 111*u, 0 = -3*u + 15. List the prime factors of t. 3, 11, 1499 Suppose -7 + 25 = 3*h. Suppose 4*a = 3*u, u = h*a - a. Suppose u = -5*w + w + 268. What are the prime factors of w? 67 Let q(n) = 2067*n**2 - n + 10. What are the prime factors of q(-2)? 2, 3, 5, 23 Let m be -4 - (3 - 0 - -174). Let l = m + 279. What are the prime factors of l? 2, 7 Let a = 158 - 193. Let y = a + 534. What are the prime factors of y? 499 What are the prime factors of (33 + -29)/(4/8683)? 19, 457 Suppose -8*i + 13*i = 20. Let v(c) = 14*c**2 - 3*c - 3. Let r(j) = -5*j**2 + j + 1. Let k(x) = 11*r(x) + 4*v(x). List the prime factors of k(i). 11 Let m(j) = -109*j - 4886. List the prime factors of m(-117). 7867 Suppose 0*s + 4*s + 2 = 2*a, 4*s + 11 = 5*a. Suppose 2*o = -w - 12, -o + a = -2*w - 31. Let k(m) = m**3 + 15*m**2 - 18*m - 3. List the prime factors of k(w). 29 Let p(d) = 8*d - 25. Let n be 97/11 - 22/(-121). Let h be p(n). What are the prime factors of h - -3*2/3? 7 What are the prime factors of (-606298)/(-70) - (-5 + (-108)/(-20))? 3, 2887 Suppose -144*s = -145*s + 5*l + 28892, -8*l - 144545 = -5*s. What are the prime factors of s? 3, 7, 17 Let a(q) = -3*q**2 + 23*q + 11. Let c be a(8). Suppose 30 = -c*t + 8*t. Suppose -259 = -t*w + 203. List the prime factors of w. 7, 11 Let d(c) = c**3 + 22*c**2 + 41*c + 23. Let g be d(-20). Suppose g*n + j = 2*j + 241, j - 2 = 0. What are the prime factors of n? 3 What are the prime factors of (-360)/(-225) - (-274434)/5*4/8? 5, 11, 499 Let z(a) = 2*a**2 + 11*a - 1. Let d be z(-6). Suppose 4*j = -d*j. Suppose 5*r - 463 = -3*s - j*s, -s = r - 91. List the prime factors of r. 5, 19 Let p(g) be the first derivative of 3/2*g**2 + 2*g + 1 + 15/4*g**4 + 0*g**3. List the prime factors of p(2). 2 Let n = -330 - -156. Let l = 29 - 39. What are the prime factors of (6/l + 16/(-40))*n? 2, 3, 29 Suppose 0 = -j, 411*h - 11205 = 410*h - 4*j. List the prime factors of h. 3, 5, 83 Let m be (3 + 0)*(-40)/(-3). Let r = m + -37. Suppose 3*v - g = 180, 5*v - 130 - 166 = r*g. List the prime factors of v. 61 Let b = 5482 + 16080. What are the prime factors of b? 2, 10781 Suppose -3*i = -3*a + 57216, -2*a - 17805 = -i - 55944. List the prime factors of a. 23, 829 Let q(h) = 21 - 11*h + 40*h + 30 + h**2 - 2*h**2. What are the prime factors of q(14)? 3, 29 What are the prime factors of 4/(-106) + 13323180/1060? 12569 Let l be (-145)/(-2)*(-19 + 21). Let y = 164 - l. List the prime factors of y. 19 Let a be (-4)/(-3)*(-6)/(-16)*4. Let g be 1 - -2*a/1. Suppose 2*k = -2*m - 22 + 340, g*m = k - 183. List the prime factors of k. 163 Let o = 667 - 605. List the prime factors of o/62 - 1*-1070. 3, 7, 17 Suppose 1760 = -4*t - 5*r + 7142, -t = -2*r - 1339. Suppose 8*c = 8639 - t. List the prime factors of c. 2, 3, 19 Suppose -167 = -6*f + 151. Suppose 0 = -i + 4*x - 19, -4*i = -0*x - x + 91. Let v = f + i. List the prime factors of v. 2, 3, 5 Let n = 44 - 64. Let q = 71 + n. Let m = q - 36. What are the prime factors of m? 3, 5 Let u = -16 - 1. Let n = 17 + u. What are the prime factors of n + -6*9/(-2)? 3 Suppose 0 = -42*s + 138884 + 206272. List the prime factors of s. 2, 7, 587 Let o = 126 - 168. What are the prime factors of ((111/9)/(-1))/(7/o)? 2, 37 Suppose -16*k + 645 = -k. Let y = k - -131. What are the prime factors of y? 2, 3, 29 Let v(d) be the first derivative of -d**4/4 - 2*d**3 - d**2 - 80*d + 140. What are the prime factors of v(-12)? 2, 101 Suppose -67 = 2*y + 3*a, -2*y - 90 = 2*a - 26. Let b(x) = -2*x**2 - 111*x + 29. List the prime factors of b(y). 2, 3, 29 Let h = -301 - -306. Suppose 5*m - 27 = -2*n + 10, h*n = 5. What are the prime factors of m? 7 Suppose 5*j + 5608 = 4*r, 3*r = 8*r - 2*j - 7010. List the prime factors of r. 2, 701 Let w = 10217 - 3620. List the prime factors of w. 3, 733 Suppose -237*c = -250*c + 816006 + 41240. List the prime factors of c. 2, 32971 Let f = 80 + -91. Let s(m) = 305*m - 35. Let y be s(f). List the prime factors of (-2)/13 - y/65. 2, 13 Let h(t) = -760*t - 4947. List the prime factors of h(-16). 7213 Let g(v) = 389*v**2 + 139*v - 1304. What are the prime factors of g(8)? 2, 193 Let b = 2448 + -887. List the prime factors of b. 7, 223 Let g = -146 - -151. Suppose 4*r - g*j - 1860 - 523 = 0, -3*j - 1193 = -2*r. List the prime factors of r. 2, 37 Suppose 2394*b - 2382*b - 30720 = 0. What are the p
{ "pile_set_name": "DM Mathematics" }
lve 10 = -m*i - f for i. -4 Suppose -9 = -s - 4*f + 7, 2*s - f = 14. Suppose s*t = 6*t + 12. Solve 2*v = -0*v + t for v. 3 Let d be 23 + (0 - 0 - -2). Suppose -4*p = v - 11, 3*p + 3*v = 8 - 2. Solve 2*y + d = -p*y for y. -5 Let z be 2/(-1) - (3 + -5). Suppose l + 10 = -z*l. Let f be (-25)/l + (-1)/2. Solve -f*x + 3 = 5 for x. -1 Suppose 0 = -47*h + 42*h + 45. Solve -3*t - 24 = -h for t. -5 Let s be 34/9 - (-4)/18. Solve s*i + 10 = 2*i for i. -5 Let n be (-56)/(-6)*(-2 - -5). Let j be 704/n - (-4)/(-28). Solve r - 6*r = -j for r. 5 Let g be 1/(-2 + (-39)/(-18)). Suppose 0 = -g*h + 3*h. Solve h = 5*c - 5 for c. 1 Let r = 41 + -39. Solve 0 = -3*v + r*v for v. 0 Suppose -7*s = -2*s. Let z be (s - -3)*32/12. Solve 4*x - 2*x + z = 0 for x. -4 Suppose 0 = 3*s, 3*g + 2*s = -2*s + 9. Solve p + g = -0*p for p. -3 Suppose -2*x = -4*x. Let j(r) = r - 9. Let b be j(12). Solve x = -l - b + 2 for l. -1 Suppose 2*l + 3*l = 3*h - 25, -28 = -4*h + 4*l. Suppose 3*m = h*m. Solve -5*n = -m*n + 10 for n. -2 Let g = 87 + -82. Solve 0 = 2*z - 7*z + g for z. 1 Let u = -38 + 43. Solve u*c = c for c. 0 Let l = 11 + -4. Solve l*v - 4*v + 3 = 0 for v. -1 Let k be (-16)/(-10)*(-5)/(-2). Solve -k*l + 0*l = 0 for l. 0 Let x(u) = u + 8. Let t be x(-8). Solve -a + 1 = -t for a. 1 Suppose 2*y = 4*c - 50, -4*c + y = -5*c + 11. Solve 5*l - l = c for l. 3 Let n(j) = 7*j - 13. Let x be n(5). Solve 0 = -5*c + 3 + x for c. 5 Let n(k) = -k**3 - k**2 - k - 2. Let w be n(-2). Let i = 7 - w. Suppose -5*d + 2 = 2*p, 2 = -d - p + i*p. Solve 0 = 5*t - d*t + 20 for t. -4 Suppose -q + 1 = 3*i, -2*q = 2*i + 4 - 2. Solve w = i - 4 for w. -3 Let c be (2 - 1)*(-8 + 5). Let k be c/3 + 1 + 2. Solve k*v = -v - 12 for v. -4 Suppose 5*u - 9*u = -12. Suppose u*f = -4*q + 50, 5 = 2*f - 4*f + 5*q. Let p = -8 - -12. Solve -x + f = p*x for x. 2 Suppose -2*a - 1 = -5. Suppose -32 = -5*x + x. Suppose 0 = -2*r - 3*l + x, a*r - r = 5*l - 9. Solve r - 4 = 3*d for d. -1 Let b(y) = -2*y**2 - y + 2. Let c be b(0). Solve -13 - c = 5*w for w. -3 Let n = 4 + 0. Let o(a) = a. Let m be o(n). Solve -m = -4*p - 0 for p. 1 Suppose 4*y = -m + 14, -1 + 3 = -2*m + 2*y. Suppose 43 = m*j + 1. Suppose -5*q + j = -4. Solve q*b - 4 + 29 = 0 for b. -5 Suppose -20 = -4*t + 5*a, -t + 4*a = -3 - 13. Let k = 0 - t. Solve k = -s - 2*s - 12 for s. -4 Let v(n) = 3*n - 2*n + 2 - 1. Let b be v(1). Solve -2*l + 4 = b*l for l. 1 Let y be 3/(-6)*(1 - 3)*2. Solve 12 = 6*i - y*i for i. 3 Let k(y) = -y + 0*y**2 + 6*y**2 - 3*y**2 - 4*y**2 - 10. Let c be k(0). Let s be 2/(c/(-8) + -1). Solve -m = 3*m + s for m. -2 Suppose 5*i - 9*i = 0. Solve i = 2*q + 2*q for q. 0 Let w be 6/(-1 - 15/(-6)). Let v be 2/8 - (-63)/w. Suppose l = 5*l - v. Solve -c = -l*c for c. 0 Let i(x) = x + 7. Let h be i(-7). Suppose h = -6*s + 11*s. Solve -2*r + s*r + 6 = 0 for r. 3 Let b = -31 + 36. Solve b + 7 = 3*c for c. 4 Let a(m) be the third derivative of -m**6/120 - m**5/20 + 5*m**4/24 + m**3/3 + 2*m**2. Let h be a(-4). Let x be (1 - (-3)/h)*-2. Solve 0*p + p = -x for p. -1 Suppose -2*s + 4 + 2 = 0. Solve 1 = -s*v + 2*v for v. -1 Let g(d) = -d**3 - 2*d**2 + d + 2. Let h be g(-1). Solve h*n = 2*n for n. 0 Let a = 4 + -3. Suppose n + 2 = -a. Let t be 6/(2/((-4)/n)). Solve 0 = o + t*o - 5 for o. 1 Let l(h) = -h**3 - h**2 + h. Let t be l(-2). Let w be 4/14 + (-16)/56. Suppose w = 3*z - 2 - 13. Solve -1 - z = -t*j for j. 3 Let l be (-2 - 0)/((-20)/30). Solve 0 = -5*x - l + 13 for x. 2 Suppose 2*t = -5 - 7. Let y be 1/(-2) - 21/t. Solve 6 = -y*x - 3 for x. -3 Suppose -m + 5*m = 2*l + 12, 3*l = 2*m - 2. Solve l*n - 1 = 1 for n. 1 Let d be (-9)/((-9)/3) + 12. Solve d = -2*v + 5 for v. -5 Let l(q) be the third derivative of -q**6/120 - q**5/60 + q**4/12 + q**3/3 - 2*q**2. Let w be l(-2). Suppose -8 = -2*c - w. Solve 0 = c*m + m - 8 for m. 2 Suppose -n + 6 = -1. Let m = n - 0. Let d be 218/11 + (-2)/(-11). Solve m*j = 2*j + d for j. 4 Let h be 0/((7 - 3) + -7). Suppose 70 = 3*d + 4*j, -5*j + 27 = d - 0*d. Suppose 6*o - 3*o + 24 = 5*n, -5*n = -4*o - d. Solve h = z + 1 - n for z. 5 Suppose 5*r - 3*r = 0. Suppose -5*z + r*z + 15 = 0. Solve 0 = -z*y - y - 8 for y. -2 Let a be -4 - -2 - (1 - -1). Let t be 8 - (0 + (-2 - a)). Solve f - 4*f = -t for f. 2 Let z be (-24)/(-16) - 6/(-4). Let d(g) = -3*g**3 - g**2 - 2*g - 1. Let c be d(-1). Let r = c + 2. Solve 0 = -z*u + 1 + r for u. 2 Let u(t) = -3*t + 12. Let m be u(-8). Let i be (-5 - -2)*(-4)/6. Let y be i/9 + (-8)/m. Solve y*n - 12 = 4*n for n. -3 Suppose 0 = 5*g - 2*g - 6. Suppose r - 11 = -5*p + 3, -g*r + 14 = 3*p. Solve -2*o - 12 = -p for o. -5 Let a(x) = x**2 - 3*x + 6. Let o be a(5). Solve o = 5*k + 1 for k. 3 Suppose 0*w = 4*w - 4*q - 8, -3*w = q - 22. Solve -14 = -5*g + w for g. 4 Suppose -5*h + 0 + 25 = 0. Let f(m) = -5*m - 2. Let l be f(-6). Suppose i = h, -d - 4*i + i = -l. Solve d = 4*s - 3 for s. 4 Let y(o) = o - 3. Let a be y(7). Let h(u) = -u**2 + 5*u + 2. Let w be h(a). Solve -2*d = -w*d for d. 0 Suppose 12 = -11*t + 9*t. Let n be 6 - -3*t/9. Solve -2*w = -0*w + n for w. -2 Let y = -85 - -87. Solve y*z - 3 - 1 = 0 for z. 2 Let o(u) = u**3 + 3*u**2 + 2*u + 3. Let h be o(-2). Suppose 2*b = 3*b - 27. Suppose -5*g + b - 7 = 0. Solve -g = -x - h*x for x. 1 Let t = 6 + -5. Solve -2*w + t = -1 for w. 1 Let u be 5/(-1) + (0 - 2). Let z be (2 - 1) + -11 - -4. Let b = z - u. Solve 14 + b = -5*x for x. -3 Suppose -20 = -5*p, -3*p + 13 = i - 5*p. Suppose 4*q = -2*l + 88, l + q = 21 + i. Suppose 4*x - l = -s, -x - s + 10 = 3*s. Solve -2*o = -0*o - x for o. 5 Suppose 2 = w - 0. Suppose -3*x = -4 - 5. Let j = -1 + x. Solve j*n + w = -4 for n. -3 Let u(g) = 7*g + 16. Let z be u(-2). Solve -z = 4*j - 14 for j. 3 Suppose 0 = 3*x + x - 60. Suppose 0 = 4*i + 4*v - 36, -i - x = -5*v + 6. Solve i*n + 0 = -4 for n. -1 Let o(i) = i - 3. Let p be o(5). Suppose -9 = -3*h, 2 + 3 = -p*z + 3*h. Suppose -f + 15 = -0*f. Solve 5*g - f = z*g for g. 5 Let p be (-4 + 0)/(1/(-2)). Suppose 15 + 1 = 4*y. Suppose -5*q + 3 = u, -q + 4*u - 12 = y*q. Solve q = -a - a + p for a. 4 Suppose 5*w = -11 + 26. Let j = 23 + -11. Let h = 0 - 0. Solve -5*n - w - j = h for n. -3 Let p be ((-11)/33)/(1/(-9)). Solve p*d = 1 - 10 for d. -3 Let q(f) = -f**3 - 21*f**2 + 22*f + 5. Let l be q(-22). Solve 0 = -3*s - l + 20 for s. 5 Let k(t) = 6*t**2 - t - 1. Let n be k(1). Solve 2 = -n*i - 10 for i. -3 Suppose -3*v - 3 = -3*n, 5*n - 4*v - 10 + 2 = 0. Suppose 1 + n = d. Solve -d*r + 3*r = 8 for r. -4 Suppose -2*u - 2 = -c, u - 10 = -0*u - 5*c. Solve 2*z + u*z = -8 for z. -4 Let t = 74 - 398. Let l be 1/4 + t/(-48). Solve -3 - l = -2*j for j. 5 Let g(w) = -2*w**3 - 4*w**2 - 2*w. Let k be g(-2). Solve -4 = -k*y - 0 for y. 1 Suppose -10 = -4*x + 6. Solve x = -5*k - 6 for k. -2 Let b = 0 - 5. Let k = -4 - b. Solve -k = 3*d + 2 for d. -1 Let g(d) = -d**2 + 6*d - 3. Let k be -1*(4 + -3 + -3). Let l be g(k). Suppose -p = -3*i - 4, l*p - 11 - 9 = 2*i. Solve 4*s + 14 + 2 = i for s. -4 Suppose -2*y = v - 10, -y = -2*v - 1 - 4. Solve u = -v*u - 2 for u. -2 Suppose -2*v - a + 3 = 0, -3*v - 4*a + 7*a = -18. Let o be -1 + 9/(-2)*2. Let u be (o/2)/(2/(-6)). Solve 0*r - v*r + u = 0 for r. 5 Suppose -3*a - 5 = -5*h + a, -h + 3*a - 10 = 0. Solve -h*q = -2*q + 6 for q. -2 Suppose -3*h = -o - 4*h + 5, 0 = 5*o - 3*h - 57. Solve o*l = 10*l - 4 for l. 4 Let y be 0/(-2) - (-4 - -6). Let b be (-6)/(-4)*(-4)/y. Solve -2*m + 4 = -b*m for m. -4 Suppose 0*s = 4*s - 120. Let o be ((-8)/6)/(4/s). Let h = o + 18. Solve -h = 5*k - k for k. -2 Let t(u) = u**3 + 4*u**2 + u - 3. Let n be t(-2). Solve -n*z = -8*z - 5 for z. -1 Suppose 0 = -3*u + 5*c + 6, 2*c + 1 = -4*u + 9. Solve -u*r + 0 = -6 for r. 3 Suppose 0 = -3*c - 5*a + 3 - 13, c = -5*a - 10. Suppose c = -2*g + n + 1, -2*g + 2*n = -g + 7. Solve -g*s + 2 = -4 for s. 2 Suppose 4*l + 1 = 13. Suppose 5*b - 2*d + 7*d = 40, -4*b - 5*d + 36 = 0. Suppose -l*m - h = -2*h - 17, b*m = -4*h - 4. Solve 0 = m*y - 3*y - 3 for y. 3 Let r(q) be the second derivative of q**6/90 + q**5/120 - q**4/3 - 4*q. Let w(k) be the third derivative of r(k). Let n be w(1). Solve n = 3*f - 6*f for f. -3 Suppose 0 = 4*u - 6 - 14. Solve -u*i = -0*i + 15 for i. -3 Let h be 1*6/4*4. Solve -k + 25 = -h*k for k. -5 Suppose 2*x - 2*k = 16, -2*x - 4*k + 19 + 21 = 0. Solve -o - 3*o = x for o. -3
{ "pile_set_name": "DM Mathematics" }
*(-6)/(-18))*3 3/11 ((-10)/(480/66))/((-5)/40) 11 Evaluate (3/((-3)/2*1))/(239/2390). -20 Evaluate -4*((-2035)/(-88))/37. -5/2 (682/44)/(-31)*55/5 -11/2 Calculate ((-15)/(-160)*-8)/(135/252). -7/5 2*(-4)/(-14)*(-945)/(-2970) 2/11 Evaluate 3/15*-6*2995/(-7188). 1/2 What is the value of -1*9/(-63)*6/(-18)? -1/21 Evaluate (-7)/((-1743)/830)*-3*(-2)/(-1). -20 What is the value of 22/13*(-11128)/(-6848)? 11/4 Calculate 3/(65/(-13)*18/(-210)). 7 What is the value of ((240/25)/6)/((-15)/(-225)*-6)? -4 -2*2*(-5)/420 1/21 ((-172)/(-387)*24/32)/((-28)/3) -1/28 What is the value of (450/(-15))/((-2)/(-5)*5)? -15 Evaluate ((27/(-10))/(-1))/((-3)/(-180)*36). 9/2 What is the value of ((-4)/7*2534/2896)/(1/38)? -19 Calculate ((-15)/(-60))/(4/(-64)*4/(-8)). 8 What is ((-46)/(-322))/(33/(-154))? -2/3 Calculate -5*87/(-21025)*-29. -3/5 Evaluate 3*(-1)/(-1)*(2204/57)/58. 2 (693/308)/((-2)/(-8)) 9 What is ((-18)/10)/(4389/2090)? -6/7 Calculate ((-2)/(-20))/(315/(-1260)). -2/5 Calculate ((2/3)/((-40)/84))/1. -7/5 What is the value of 1806/387*18/(-21)*42/6? -28 15/330*-24*528/(-32) 18 Evaluate (1/(-20))/((41/164)/(10/8)). -1/4 What is the value of ((-418)/(-627))/(-1*3/54)? -12 Evaluate ((-6)/7)/(306/(-378)*3). 6/17 Evaluate (9*(-4)/(-300))/((150/4)/(-25)). -2/25 What is ((-285)/90)/((-15)/18*(-4)/(-20))? 19 What is the value of 1316/(-564)*(-120)/(-14)? -20 What is the value of (5*9/45)/(2/(-18))*-1? 9 Evaluate (-351)/2340*60/72. -1/8 (128/40)/(-2)*(-7)/56 1/5 Calculate (280/3)/35*6/(-152). -2/19 Calculate (5/(-10))/(26/104). -2 Evaluate (-783)/348*2/3. -3/2 What is the value of (-1971)/(-1095)*(-3)/(27/120)? -24 What is the value of (-6)/(((-476)/98)/17)? 21 Calculate -2*(48/880)/(2/(-20)*2). 6/11 What is (6/(-48)*8)/(1*-33)? 1/33 What is the value of (6/(-210)*-10)/((-115)/115)? -2/7 Calculate (-45*(-114)/2565)/((-4)/46). -23 What is the value of 42/(-51)*(-272)/(-160)*-10? 14 What is -60*2/4*((-30)/5)/(-18)? -10 What is (-20)/(-88)*(-10)/175*28? -4/11 Evaluate (-13)/416*28*-8. 7 What is 5/(-2)*(-1542)/(-2570)? -3/2 1/(4/2)*(36/9)/8 1/4 Calculate 21/(-14)*(-1188)/81. 22 Calculate ((-23)/(897/(-104)))/(96/36). 1 Evaluate (40/(-6))/(264/(-792)). 20 Evaluate (12/(-374))/((-1039)/11429). 6/17 Calculate (-1)/((-12)/15)*(-52)/(-1690)*91. 7/2 What is ((-41)/18204*-37)/(-1*(-1)/(-10))? -5/6 ((-10)/1)/5*(-51)/(-2958) -1/29 2/14*1365/(-130) -3/2 What is the value of 46/(-2530)*-22*270/(-3)? -36 What is the value of (-14)/8*(-1480)/3885? 2/3 What is 54/45*130/(-39)? -4 Calculate 232/29*56/64. 7 What is the value of (((-1215)/18)/(-15))/(75/350)? 21 Calculate -4*5/(-120)*(-1504)/(-47). 16/3 Evaluate 2/(((-28)/49)/4)*(-8)/14. 8 What is (-2)/(-9)*270/2250? 2/75 -3*(-4)/2*24/16 9 Calculate (1/3)/((-8)/16*(-6)/45). 5 Calculate ((-20)/(6160/66))/((-4)/(-14)). -3/4 What is the value of (9/156)/((-69)/368)? -4/13 (-12)/(-18)*-1*2*12/(-112) 1/7 What is 2/4*288/8*6/(-12)? -9 Evaluate (2/68)/((1820/(-240))/(-91)). 6/17 Evaluate ((-50)/(-75))/((-15)/(-1)). 2/45 (-59)/((-649)/242)*(-1)/2 -11 Calculate 2272/(-1704)*1*30/(-4). 10 Evaluate (72/252)/(-1*(-56)/(-245)). -5/4 Evaluate -5*(18/(-60))/(2/36*3). 9 Calculate (262/(-655))/(43/(-10)*4*1). 1/43 ((-1458)/(-8262))/((-6)/(-2)*(-1)/2) -2/17 Calculate ((-8)/30)/((648/378)/(10/(-14))). 1/9 What is (-81)/837*(-4)/(-6)? -2/31 What is the value of ((-47628)/(-1944))/(14/8)? 14 Evaluate (-54)/(-396)*2*8/6. 4/11 What is (-31)/(3534/2090)*3/(-5)? 11 30/110*18/27 2/11 Calculate ((-5264)/1222)/(12/(-78)). 28 ((-24)/70)/((-132)/495*3) 3/7 (-4)/10*(-2445)/(-2282) -3/7 What is (10/35)/(45/(-630))? -4 What is the value of 36/76*(-48)/216? -2/19 Evaluate ((-2)/27)/(912/2052). -1/6 What is the value of (4/50)/(41184/26400)? 2/39 ((-206)/309)/(2*(-2)/96) 16 Calculate (4/(-2))/(7*816/(-168)). 1/17 What is (3/7)/(73*(-216)/(-73584))? 2 Evaluate (42/((-2)/1))/(-21*9/126). 14 Evaluate (-2)/11*15/(-30)*20. 20/11 What is the value of (1209/(-117))/(-31)*-3*2? -2 Calculate 3/6*2/3*35/35. 1/3 What is (20/(-35))/(-6*(-15)/350*-10)? 2/9 What is -7*((-864)/63)/(-8)? -12 What is the value of (-1)/3*-10*70/(22050/(-2457))? -26 Evaluate 13/(52/2)*5*4. 10 (-1599)/1066*(-17)/9 17/6 (3/2*1*-2)/(152/(-456)) 9 What is the value of 4/(-18)*9*8/((-32)/(-6))? -3 What is the value of -2*((21/14)/3)/(3/(-42))? 14 Calculate 1250/(-25)*(-4)/(-140)*-2. 20/7 Evaluate ((-2)/(-2))/((16/4)/52). 13 Calculate -1*6*7/(-3)*(-144)/224. -9 Evaluate 55/(-22)*(2/4)/((-75)/(-840)). -14 What is (1647/(-732))/((-9)/10)? 5/2 (6/30)/((-4)/192*-6) 8/5 Evaluate -4*(-21)/(630/40)*-3. -16 What is the value of 0*((-208)/(-80))/13? 0 (((-12)/(-4))/(-261))/(-11*(-9)/594) -2/29 ((-184)/(-230))/(28/10) 2/7 Evaluate ((-228)/(-855))/((-42)/15). -2/21 What is (4617/(-18))/(-57)*-6? -27 ((27/(-6))/(-1))/(3/12*2) 9 What is ((-144)/(-24))/((-10)/8*15/(-25))? 8 ((18/(-3))/((-52)/13))/((-2)/8) -6 What is 195/52*2*308/70? 33 Evaluate 2124/(-27258)*(-7)/15. 2/55 (((-273)/28)/13)/((-3)/28) 7 (72/90)/(2/((975/3)/(-5))) -26 What is 2/5*385/2464? 1/16 What is the value of (3/(-9))/(((-20)/(-160))/(27/(-36)))? 2 What is the value of (-16)/(-16)*((-120)/(-32))/15? 1/4 What is (-10)/5*(-35)/15*-3? -14 (-1370)/959*(-84)/(-10) -12 Calculate 18/(2/(20/(-10))*(-9)/6). 12 Evaluate ((-31)/(465/18))/(111/740). -8 Calculate (63945/270)/(-29)*(-8)/14. 14/3 Evaluate 2695/(-2310)*12/147. -2/21 (-4)/(5*(-14)/(-105)) -6 What is the value of (-8)/84*(-8512)/(-456)? -16/9 Evaluate ((2*(-9)/(-9))/2)/(-34). -1/34 (-2)/(1360/8)*-10 2/17 What is (-160)/(-90)*12/(-8)*9/(-6)? 4 What is the value of (((-18)/9)/((-10)/(-6)))/((-18)/(-60))? -4 What is (6/20)/((10/(-5))/(24/6))? -3/5 Calculate (4/6*1)/(-1)*(-5544)/3080. 6/5 (8/(-48))/(176/44) -1/24 (45/150)/(5*38/475) 3/4 Evaluate 62/(-2)*156/(-4836). 1 What is the value of 7/35*-5*(-13)/((-52)/24)? -6 What is the value of (-6)/(((-108)/(-405))/(4/6))? -15 (-63)/18*24/(78/(-13)) 14 Calculate -8*29/(-8120)*-20. -4/7 Calculate 198/(-15)*50/(-30). 22 Calculate (140/(-56))/((-15)/(-78)). -13 -1*4*13/52*-3 3 (-14)/((-168)/60)*8/4 10 Calculate 11/(-418)*(2/(-5))/(9/(-45)). -1/19 What is the value of 30/(-3)*(-7)/(-21)*15/(-175)? 2/7 What is (1/(-12)*-3)/(3*(-2)/312)? -13 Calculate (11*(-1)/(-4))/((-64)/((-3072)/12)). 11 What is the value of ((-12)/(-22))/(384/11264)? 16 Evaluate ((-4)/(6/3))/(2/28*4). -7 (((-76)/27)/19)/((-3)/(-45)*2) -10/9 What is the value of 42/(-108)*((-1680)/(-49))/(-16)? 5/6 Evaluate 3/(-4)*6912/(-127008). 2/49 What is the value of (((-52)/(-8))/(18/12))/(2/(-6))? -13 Evaluate ((-2*(-1)/(-2))/(26/494))/1. -19 (-1)/(162/((-144)/(-8))) -1/9 (((-3)/(-4))/(-3))/(11*15/(-1320)) 2 20/60*5/(-5)*72/2 -12 Evaluate -1*-1*27/108. 1/4 Evaluate (-45)/(-45)*46/(-2). -23 Evaluate 100/128*-4*8. -25 Evaluate 2023/578*(-48)/(-14). 12 Calculate ((-1)/(-14)*4*8)/(400/1400). 8 Calculate (((-27)/(-20))/9)/(5*(-15)/(-40)). 2/25 What is (5/(((-2)/28)/(250/875)))/(-1)? 20 What is 33/15*32/128*-4? -11/5 (6/45)/(-28*16/192) -2/35 Calculate (((-2)/(-3))/(-2))/((-24)/(-24)). -1/3 Calculate ((22/(-561)*6)/2)/((-1)/1). 2/17 (-3609)/(-1604)*-1*(-1)/(-3) -3/4 What is the value of ((-7)/((-21)/2))/((-1)/((-108)/6))? 12 Calculate 6/16*(-352)/(-440). 3/10 Calculate (-1302)/(-465)*(-12)/(-7). 24/5 What is -6*244/549*1*3/2? -4 What is (54/(-9))/((-11)/660*-18)? -20 Evaluate 6*((-1)/(-15))/(((-90)/(-9))/(-30)). -6/5 What is the value of ((-19)/3)/(34/12*58/986)? -38 What is the value of (17/((-255)/36))/(13/65)? -12 What is ((7/(-10))/((-31)/(-186)))/(48/(-320))? 28 What is the value of ((-2)/(2/3))/((-3)/80*5)? 16 (120/(-40))/((-2)/(-1)*(-66)/24) 6/11 Evaluate (324/90)/6*40/28. 6/7 What is (-516)/(-1505)*(-30)/36? -2/7 Evaluate 1212/(-5454)*9*6. -12 What is 6/((-126)/4704*-32)? 7 Evaluate 3*2*1262/(-1893). -4 What is ((-2)/(-16))/((-33)/36)? -3/22 (12/(-10))/(-6)*5 1 What is ((-6)/4)/(95/(-285))*-6? -27 Calculate (-14)/42*-45*(-6)/510. -3/17 (-22)/36*220/(-4840)*1*-4 -1/9 What is the value of ((-1)/7)/(50/300)? -6/7 What is (7/(-14))/(38/228)? -3 Calculate (-12)/(8/2)*(12/90)/2. -1/5 What is the value of (36/1)/(120/(-36)*(-9)/15)? 18 What is ((-16)/(-8))/(2*((-2)/2)/1)? -1 What is (((-57)/190)/((-3)/4))/(1377/(-1215))? -6/17 Evaluate (2/7*(-8)/4)/((-95)/133). 4/5 (-6)/120*4*-20 4 What is the value of 14/(-21)*1
{ "pile_set_name": "DM Mathematics" }
iggest value in 3, -2.6, -6, 1.5? 1.5 Which is the biggest value? (a) -1/4 (b) -1/3 (c) -1.2 (d) -12 a What is the second smallest value in 5, -0.5, -17, -0.4? -0.5 Which is the smallest value? (a) 2/5 (b) -3/5 (c) 129 b What is the second smallest value in -0.2, 5, -1, -6, -11? -6 Which is the fourth biggest value? (a) -0.1 (b) 12 (c) -4 (d) -2 c Which is the fourth biggest value? (a) 2/15 (b) 2 (c) 0.4 (d) -26/9 d What is the third biggest value in -3, -50/19, -0.1? -3 What is the second biggest value in -4, -0.5, 1/2, -2/373? -2/373 Which is the fifth biggest value? (a) 0.07 (b) -4 (c) 0.4 (d) -2 (e) 1 b Which is the third biggest value? (a) 3 (b) 348 (c) -0.1 (d) -2/7 c Which is the fifth biggest value? (a) -4 (b) -5 (c) 1 (d) 0 (e) -0.07 b What is the second biggest value in -100, -0.1, -1.1, -0.07? -0.1 Which is the smallest value? (a) 0.1 (b) 0.5 (c) 1/7 (d) -266/5 d Which is the biggest value? (a) 2 (b) -8.1 (c) 2/3 (d) -2 a Which is the smallest value? (a) -87 (b) -2/3 (c) 0.4 (d) 5 a Which is the biggest value? (a) 4 (b) -1/2 (c) 0.5 (d) -0.3 a Which is the second biggest value? (a) 2 (b) 3 (c) -2/19 (d) 1/8 a Which is the second biggest value? (a) 0.1 (b) 3/4 (c) 9/8 (d) 2/7 b Which is the second smallest value? (a) 3 (b) -4 (c) -28/15 (d) -2/3 c What is the third smallest value in 1/8, -0.5, -2/35, 2/75? 2/75 What is the fourth biggest value in -0.2, 1, 58, -2, -0.3? -0.3 What is the fifth smallest value in -1.3, -3/5, 0, -2/9, -1/47? 0 What is the biggest value in 5, -2/5, -152? 5 Which is the third smallest value? (a) 0.05 (b) -1/4 (c) -1/3 (d) 0 d What is the third biggest value in -2, -73, 1/4? -73 What is the third smallest value in -7, 0, 4.9? 4.9 What is the biggest value in -0.26, 14, 0.4? 14 What is the second smallest value in -0.2, -50, 1/9, 0? -0.2 Which is the fourth biggest value? (a) 0.1 (b) 0.5 (c) 1/3 (d) 85.8 a Which is the third biggest value? (a) 5 (b) -31 (c) 3/4 (d) 2/7 d Which is the smallest value? (a) -1/5 (b) -1 (c) 0.4 (d) 1/4 (e) -21 e Which is the smallest value? (a) 15 (b) 1 (c) -1 (d) 2 c What is the fourth smallest value in -3, -5, -2, -2.3? -2 Which is the third smallest value? (a) 2 (b) -38/9 (c) 0.1 (d) 3 a Which is the second smallest value? (a) -0.1 (b) -3 (c) -2/11 (d) -1 d Which is the second smallest value? (a) 1.5 (b) -3 (c) 3 a Which is the fourth smallest value? (a) 1/5 (b) 1 (c) 2/11 (d) 0.03 (e) 0.5 e What is the third biggest value in -2/11, -4, 6/11, 19/4? -2/11 Which is the fourth biggest value? (a) 162 (b) 1 (c) 0.4 (d) -13 d What is the fourth biggest value in 1/4, 0.2, 1/7, 59? 1/7 What is the second smallest value in -2, -4, 78.1? -2 Which is the second smallest value? (a) 7/2 (b) 3 (c) -3/8 b Which is the smallest value? (a) -0.5 (b) 15 (c) 0.07 a Which is the smallest value? (a) 4/3 (b) -0.1 (c) 0.08 (d) -426 d What is the third biggest value in -3/8, 0.1, 0.2, 0.254, 0? 0.1 Which is the fourth biggest value? (a) -0.1 (b) -9 (c) 21 (d) -5 (e) 5 d What is the fourth smallest value in 3/2, -4/5, 0.1, 1.7? 1.7 Which is the smallest value? (a) -0.21 (b) 2/9 (c) 0.4 a Which is the third smallest value? (a) -1 (b) -11 (c) -2 (d) 3 a What is the third biggest value in -1/4, -1, 0.3, -0.291, 5? -1/4 What is the second biggest value in 627, 0.2, 2? 2 What is the second smallest value in -1/8, -6, 0.1, -0.1, -80? -6 What is the second smallest value in 1/10, 1, 0.4, -1/7? 1/10 What is the fourth smallest value in 2/21, 2/5, -4/7, -186? 2/5 What is the biggest value in 3/2, 0.3, 0.08, 0? 3/2 Which is the smallest value? (a) -2 (b) -0.5 (c) 2 (d) -9 d What is the second biggest value in 4, 0, -0.07? 0 Which is the third smallest value? (a) -5 (b) 1.9 (c) 4 (d) -0.4 b Which is the second biggest value? (a) -0.9 (b) -1/6 (c) 1 b What is the smallest value in -0.03, 3/2, -5/3? -5/3 Which is the second biggest value? (a) 0.3 (b) -15 (c) 2/15 (d) 1 a What is the fourth biggest value in 3, 2475, -4, -3/5? -4 What is the smallest value in 3, 3/2, 32? 3/2 Which is the second biggest value? (a) 0.06 (b) -1/4 (c) -0.5 (d) 0.1 a What is the fourth smallest value in 2/7, -0.5, 12, -0.3? 12 Which is the smallest value? (a) -59 (b) 4 (c) 1.1 a What is the biggest value in 0.7, -0.3, 2/7? 0.7 What is the second biggest value in 3, -3/2, 0.391, 0? 0.391 What is the third biggest value in -0.3, 1.7, -0.06, -2/11? -2/11 Which is the third smallest value? (a) 13 (b) 2 (c) 28 c Which is the third biggest value? (a) -4 (b) 5/6 (c) 102 a Which is the third biggest value? (a) 2/21 (b) 0.794 (c) 3 a Which is the biggest value? (a) 4 (b) 37/6 (c) -0.3 b What is the smallest value in -41, -0.5, -3/5, 2? -41 What is the fourth biggest value in 2/5, -2, -7/3, -0.5? -7/3 Which is the fifth biggest value? (a) 2 (b) 0 (c) -7/6 (d) 0.2 (e) -22 e Which is the second smallest value? (a) 0.2 (b) 62 (c) 4/5 (d) -3 a Which is the biggest value? (a) 0.1 (b) -8 (c) 1/4 c What is the smallest value in -3/2, 14, 0, 3/5? -3/2 Which is the second smallest value? (a) -1.5 (b) 9/4 (c) 1 c What is the biggest value in -2/11, 8, 2/19? 8 Which is the fourth smallest value? (a) 0 (b) 0.5 (c) -7 (d) 1 d What is the third biggest value in -3, 1, -33, 4? -3 Which is the second smallest value? (a) -0.08 (b) -0.8 (c) 2 a Which is the fifth biggest value? (a) 0.3 (b) 1 (c) 17 (d) 0.12 (e) 5 d What is the fifth smallest value in 2, 0, -0.04, 32, -0.1? 32 Which is the third biggest value? (a) -4 (b) -5/13 (c) 5 a Which is the second smallest value? (a) 29 (b) -2/19 (c) 2 c Which is the third biggest value? (a) -108 (b) 53 (c) -2 a Which is the biggest value? (a) 269 (b) 0.4 (c) -0.1 a Which is the third biggest value? (a) 2/7 (b) -0.6 (c) -2/11 (d) -31 b What is the second biggest value in 0.3, -3, -538? -3 What is the smallest value in -39, -0.1, 14? -39 Which is the second smallest value? (a) 59 (b) -2/7 (c) -4/7 (d) 4/5 (e) 2 b What is the fourth biggest value in 0.2, 0, -2/3, 2, -2.07? -2/3 Which is the smallest value? (a) 4 (b) 1712/3 (c) -0.5 c What is the fourth biggest value in -4, -5, -1, 3? -5 Which is the smallest value? (a) -3/10 (b) 1/2 (c) -4/3 c Which is the third biggest value? (a) 4 (b) 103 (c) -5 (d) 5 a Which is the third biggest value? (a) -33 (b) -3 (c) -1/3 a Which is the second biggest value? (a) 5/2 (b) 4 (c) 6578 b Which is the second smallest value? (a) 154 (b) -3/8 (c) 2/5 (d) 0 d What is the third smallest value in 2, 4, -241/2, 3/2? 2 Which is the second biggest value? (a) -25 (b) 0 (c) -1 (d) 0.4 b What is the second smallest value in -0.03, -4, 4/5? -0.03 Which is the smallest value? (a) -3/7 (b) 0 (c) -4 (d) 72 c What is the fifth biggest value in -5/8, 0.4, -0.3, 5, -2? -2 What is the second smallest value in -1/6, -0.37, 2? -1/6 Which is the third smallest value? (a) 3/5 (b) -18/23 (c) -0.5 a What is the third biggest value in 2/17, -2, 1, 30? 2/17 Which is the second biggest value? (a) 0.4 (b) -1/9 (c) 0.2 c What is the third biggest value in -0.2, -5, -2/11, -3/2? -3/2 What is the biggest value in 0.4, 8, 1/8? 8 What is the second biggest value in 3, 0.3, -1/4, -6? 0.3 Which is the fourth smallest value? (a) -127 (b) 3 (c) 2/7 (d) 4 d What is the second biggest value in -4, -47, -0.2? -4 Which is the third smallest value? (a) 0.3 (b) 2 (c) -91 b What is the third smallest value in -16, -2, -86? -2 Which is the third biggest value? (a) -0.3 (b) -2/3 (c) -0.4 (d) -2 b Which is the fifth smallest value? (a) -5/3 (b) 3/5 (c) 0.02 (d) 0.8 (e) -2/11 d Which is the third smallest value? (a) 0.12 (b) 296/7 (c) -2/15 b Which is the fourth smallest value? (a) -12 (b) -2/9 (c) -0.4 (d) -0.5 b What is the third biggest value in -2, 3, -0.5, 2, 9? 2 What is the biggest value in -4, 3, -0.67? 3 Which is the third biggest value? (a) 0.1076 (b) 5 (c) -3 c What is the third biggest value in -14, -3, 9/7, 4, 0? 0 Which is the third smallest value? (a) 0.06 (b) 1/7 (c) 5 (d) -0.1 b What is the fourth smallest value in -5, 1/5, 1200, -3? 1200 What is the second big
{ "pile_set_name": "DM Mathematics" }
= u - 11. Let b be 8/(-6)*(-216)/16. What is the remainder when w is divided by l(b)? 5 Let s(q) = -7 + 14*q - 8 + 5*q - 3. Calculate the remainder when 56 is divided by s(2). 16 Let d = 9 + -4. Suppose 171 = -d*z + 586. Let c = 0 + z. Calculate the remainder when c is divided by 21. 20 Let c be ((-82)/4)/((-5)/20). Suppose c = -5*r + 342. Calculate the remainder when r is divided by 27. 25 Let d(z) be the second derivative of z**4/12 + 7*z**3/2 - 6*z**2 - 24*z. What is the remainder when (-230)/(-6) - 2/6 is divided by d(-22)? 8 Suppose 9*f - 6*f - 87 = 0. Let o = -21 + f. Calculate the remainder when 39 is divided by o. 7 Calculate the remainder when 219 is divided by (2 - 35/(-7)) + 19. 11 Let k = -7 - -10. Let p(j) = j**3 - 9*j**2 + 8*j + 4. Calculate the remainder when p(8) is divided by k. 1 Let q(l) = l**2 - 3*l - 3. Suppose -4*p + 9*p = 15, 0 = -5*m - 4*p - 23. Let o(h) = h**3 + 5*h**2 - h + 9. What is the remainder when q(m) is divided by o(-5)? 11 Let a = -349 + 380. What is the remainder when 247 is divided by a? 30 Let f(q) = 5*q**2 - 46*q + 17. Calculate the remainder when f(10) is divided by 11. 2 Suppose 0 = -4*v + f + 341, v - 39 = -4*f + 25. Calculate the remainder when v is divided by 9. 3 What is the remainder when -3*(-2)/18*(-2079)/(-11) is divided by 16? 15 Let a(w) = w - 3. Let i be 12/(-14)*(-14 + 7). Let l = -13 - -22. What is the remainder when l is divided by a(i)? 0 Let s(w) = -6*w**2 + 14*w**2 - 6 - 2 - 5*w + w**3. What is the remainder when 93 is divided by s(-8)? 29 Let v(h) = 2*h**2 - 5*h - 3. Let z(g) = -14*g - 8. Let m be z(-1). What is the remainder when v(m) is divided by 7? 4 Let s(i) = -i**3 - i**2 - i + 9. Let a be s(0). Calculate the remainder when 7/(-35)*-215 - 9 is divided by (a + 0)*(1 - -1). 16 Calculate the remainder when ((-231)/(-44))/(6/64) is divided by 30. 26 Let a = 676 - 352. Suppose 0 = -10*k + k + a. What is the remainder when 70 is divided by k? 34 Let d = 14 - 14. Suppose d = -0*j + j - 57. Suppose 0*i - 138 = -3*i - 4*t, 0 = i + 5*t - j. What is the remainder when i is divided by 12? 6 Let t(h) = -h**2 + h + 34. Let q = -3 + 1. What is the remainder when (-37)/(-4) - q/(-8) is divided by t(6)? 1 Suppose 6*l = 4516 - 4426. Let b = -1 - -2. Calculate the remainder when l is divided by b. 0 Suppose c + 10*c - 99 = 0. Calculate the remainder when 42 is divided by c. 6 Suppose 3*x + 5 = j - 6, -3*j = -4*x - 43. What is the remainder when 118 is divided by j? 16 Calculate the remainder when 56 is divided by 3060/108 + 0 + (-4)/(-6). 27 Suppose -5*l + b + 530 = 0, 16*l - 11*l - 515 = -2*b. Calculate the remainder when l is divided by 62. 43 Let q = -266 - -327. What is the remainder when q is divided by 11? 6 Let m be 1/(((-8)/(-10))/(-4)). Calculate the remainder when (2/m)/(1/(-45)) is divided by (-15)/(-2)*16/12. 8 Let j(a) = -a**3 + 5*a**2 - 2*a + 6. Let l be j(4). Let h = -6 + l. What is the remainder when 14 is divided by h? 6 Let l = 649 - 461. What is the remainder when l is divided by 24? 20 Let k(n) = -4*n**3 - 2*n**2 + 3*n + 4. Let c be ((-3)/(-5))/(6/(-30)). Calculate the remainder when k(c) is divided by 22. 19 Let r = -5 - -10. Suppose 0 = 3*s - 4*x + 3*x - 87, -r*x = -5*s + 135. Let p(q) = -32*q + 968. Calculate the remainder when s is divided by p(30). 6 Let b(i) = 4*i + 84. What is the remainder when 179 is divided by b(-18)? 11 Let m = -65 + 138. Suppose -k = -l + 3*k + 49, l - m = -2*k. Suppose 0 = 4*x + 17 - l. What is the remainder when 33 is divided by x? 9 Let c(o) = 2*o**2 + 17*o - 87. What is the remainder when 22 is divided by c(4)? 9 Suppose -2*b - 1 = -3, -5*k + 96 = b. Suppose 0 = 7*x - 8*x + k. Let a = -6 - -13. Calculate the remainder when x is divided by a. 5 Suppose 0 = -30*i - 5*i + 80465. What is the remainder when i is divided by 25? 24 Let j be 10/2 - (-2)/(0 - -1). Calculate the remainder when 8 is divided by ((-65)/(-91))/(1/j). 3 Suppose 26*p - 30*p + 16 = 0. Calculate the remainder when 23 is divided by p. 3 Let x be (-121)/(-1)*(2 + -1). Suppose 4*s - 25 = -x. Let q = 34 + s. Calculate the remainder when 39 is divided by q. 9 Suppose -2*b + 35 = 15. What is the remainder when 14 is divided by b? 4 Let n(b) = -2*b**3 - 10*b**2 + b + 24. Let r(z) = z**3 - z + 1. Let d(f) = n(f) + 3*r(f). What is the remainder when 27 is divided by d(10)? 6 Let i(r) = -r**2 + r + 1. Let z(m) = -m**2 + 26*m + 31. Let a(n) = -2*i(n) + z(n). Let f = -22 + 134. Calculate the remainder when f is divided by a(-24). 25 Suppose -3*k + 3*c + 36 = 0, -4*k + 17*c = 16*c - 45. Suppose 216 = t + 3*t. What is the remainder when t is divided by k? 10 Let j = -75 + 118. Let v = j - 27. Let q = -23 + 32. Calculate the remainder when v is divided by q. 7 Let z(p) = -p**2 + p + 21. What is the remainder when 11682/143 - (-12)/39 is divided by z(0)? 19 Let j(u) = -2*u**2 + 39*u + 42. What is the remainder when j(20) is divided by 12? 10 Let m(t) = 3*t**3 - 2*t**2 + 8. What is the remainder when m(3) is divided by 12? 11 What is the remainder when 46 is divided by 13*2 - 31/31? 21 Let c = -16 - -18. Suppose -4*z = 3*s + c*s - 6, 3*s - z - 7 = 0. What is the remainder when 4 is divided by s? 0 Let w = 59 - 29. Let d(o) = o**3 + 4*o**2 - 5*o + 3. Let x be d(-5). Suppose -48 = -x*g - 0. What is the remainder when w is divided by g? 14 Let q(d) = d**2 + 14*d - 9. Let y be q(-15). Suppose y*m - 2*m - 56 = 0. Calculate the remainder when m is divided by 8. 6 Suppose -17487*m = -17499*m + 348. Calculate the remainder when 228/(0 + 2) + -1 is divided by m. 26 Let i = 110 + -87. Calculate the remainder when 86 is divided by i. 17 Suppose -c - 3 = -5. Suppose -7 = -c*b + 1. Let q = 1 + 0. Calculate the remainder when b is divided by q. 0 Suppose 120 = -5*i - q + 48, 0 = 2*i + 2*q + 24. Let p(u) = u**2 + 17*u + 32. Let j be p(i). What is the remainder when 48 is divided by (-5)/(-10)*10*j? 8 Let x = 71 + -43. What is the remainder when 137 is divided by x? 25 Let d(t) = 5*t**2 + 15*t - 16. Let l be d(-7). Suppose -14*a + l = -12*a. Calculate the remainder when a is divided by 32. 30 Let c be (0 - -6)*2/(-6)*-4. Let d(v) = 3*v**2 - 6*v - 18. Calculate the remainder when d(c) is divided by 130/4 + (-1)/2. 30 Let d be 16/12*(1 - -2). Let w = 116 - 84. Suppose -v + w = -d*f - 0*f, -4*v = -2*f - 156. Calculate the remainder when v is divided by 11. 7 Suppose 6*c - 7*c + 13 = 0. Suppose 5*o = -c*o + 630. What is the remainder when 135 is divided by o? 30 Let r(x) = -21*x - 8. Calculate the remainder when r(-2) is divided by 7. 6 Let h(u) = 30*u - 2. Let j be h(3). Let p = j + -61. Let l = p - 19. Calculate the remainder when 14 is divided by l. 6 Suppose -5*b - 2*g - 174 = 0, 2*g - 64 = 2*b + 14. Let q = b + 52. Let z(o) = o + 9. What is the remainder when q is divided by z(0)? 7 Suppose 357 - 1001 = -23*d. Let s = 32 + 21. What is the remainder when s is divided by d? 25 Suppose 5*v + 4*o - 482 = 0, -23*o + 25*o = 4*v - 370. Calculate the remainder when v is divided by 49. 45 Suppose -2*d + f + 10 = -3*f, -3*d = -3*f - 9. Calculate the remainder when 1 - -1 - (-1 + d) - -67 is divided by 14. 13 Suppose 0 = 5*y - 5*d - 192 - 43, 3*y = -d + 157. Let c = -370 - -396. Calculate the remainder when y is divided by c. 25 Let n = -147 - -221. Suppose -k = -18 - 8. What is the remainder when n is divided by k? 22 Let r(v) = v + 10. Let g be r(-7). Let z = 46 - 17. What is the remainder when z is divided by -20*(-2)/(1 + g)? 9 Calculate the remainder when 93 is divided by (-1)/1*(9 + 26)/(-1). 23 Let g(z) = -18*z + 24. Calculate the remainder when 382 is divided by g(0). 22 Let a = -2090 + 2110. What is the remainder when 512 is divided by a? 12 Suppose 13*s = 2993 - 627. What is the remainder when s is divided by 82? 18 Suppose j + 11 = 2*b, 2 + 26 = b - 5*j. Suppose -o = 3*w - 32, b*w - 5*o = -2 + 4. Calculate the remainder when 152 is divided by w. 8 Let r = -4 + 15. Let v = 988 + -958. What is the remainder when v is divided by r? 8 Let n = -163 - -165. Suppose -2*j + n*y = -404, -3 + 1 = y. What is the remainder when j is divided by 51? 47 Let o = -807 + 810. What is the remainder when (-1 + 13)/(-1 + 2) is divided by o? 0 Let u(r) = r**3 - 7*r**2 + 7*r + 3. Calculate the remainder when u(7) is divided by 1
{ "pile_set_name": "DM Mathematics" }
= -3*p - 8, p - 3*f = -12. Let j = p + 3. Let a(y) = -y + 1. Let d be a(j). Which is smaller: d or 0? 0 Let j be 2/(-5) + 0/1. Let c = -5 - -3. Which is smaller: c or j? c Let d be 291/9 + 8/12. Suppose 0 = -p - 2*p - d. Which is bigger: p or 0.1? 0.1 Let b be 1*(-1 - (-32)/30). Suppose 0 = 4*v + 2*o - 4, -20 = -o - 4*o. Which is smaller: v or b? v Let q = 2 + -1. Suppose 0 = 3*g - 10 + q. Let u be (g/4)/(0 - 3). Which is smaller: u or -0.1? u Suppose 4 - 35 = 5*c + x, 2*c - 2*x = -22. Let o be 2*1 + 10/c. Let d = 10 + -10. Is o at most as big as d? False Let z be (-12)/(-105)*(-5)/(-2). Let n = -15 + 14.95. Let c = 0.95 - n. Which is bigger: z or c? c Let k be -6*(-3)/12*6/27. Which is smaller: k or -7? -7 Let o = -0.7 + 0.3. Let z = -1.4 - o. Is 6/7 not equal to z? True Let i = -67.6 - -69. Which is bigger: -2 or i? i Let j be (-2)/((-4)/10)*(-6)/5. Is -20 < j? True Let p be ((-59)/(-3))/((-1)/8). Let v = p - -155. Do -1 and v have the same value? False Let j(b) = 2 + 5*b - 2*b + 0 - b**2 + 0*b. Let v be j(2). Is v not equal to 5? True Suppose -2*o + 26 = -r - 1, r = -5*o + 57. Let i be ((-6)/4)/((-9)/o). Let l be 1 + -4 - 0/i. Which is smaller: -2 or l? l Let n = 1434/385565 + 4/1307. Let k = 2059/885 + n. Which is greater: k or 1? k Let r = -247/5 + 49. Suppose 5*o = -3*s - 0*s + 20, 13 = -2*o + 3*s. Is r equal to o? False Let c = 1/80 + -21/80. Let l be (-2)/(-6) + 8/3. Suppose 12 = -6*x + l*x. Which is smaller: c or x? x Let p(q) = -q**2 + 8. Let k(s) = -s**2 + s + 7. Let f(y) = -5*k(y) + 4*p(y). Let b be f(4). Let g = b - -7. Is g >= 2/25? False Let w = -96 + 96. Which is bigger: -6/7 or w? w Suppose 2*h + 2*h - 8 = 0. Suppose h*b = -b. Suppose -2*y - 2*w - 4 = 0, -10 = -y + 4*w + w. Is b at least as big as y? True Let w(n) = 5*n**3 + 2*n - 7*n + 3*n**2 - 3 - 4*n**3 - 2. Let r be w(-4). Do r and 3/11 have different values? True Suppose r - 5*a = -4*r + 45, 0 = -4*r + 3*a + 33. Suppose -5*w = 5*j - 31 + r, 4*w = -2*j + 28. Is 7 at most as big as w? True Suppose -5*g - 3*t - 3 = 0, 2*g - 5*g + 5*t = 29. Which is smaller: g or -2? g Let o be 90/24 - 6/8. Are o and -2 equal? False Let z(g) = -3*g + 1. Let u be z(-1). Suppose u*x = 28 - 8. Is 5 > x? False Let x = -1388/7 - -198. Let w = -0.3 - -2.3. Which is bigger: w or x? w Let f be 34/51 + 25/3. Suppose -4*d = -7*d + f. Are d and 3 equal? True Let s be -3 + (3 - 1) - 10. Let j = -15 - s. Let r(p) = p**3 - 5*p**2 - 2*p + 5. Let t be r(5). Which is smaller: t or j? t Let r(j) = j**3 + 5*j**2 + j + 7. Let c be r(-5). Let m be c/(-5) + (-12)/(-20). Is -1 > m? False Let u(w) = -w**3 - 11*w**2 - 9*w + 10. Suppose 5*y = -0*y - 50. Let c be u(y). Are -3/5 and c unequal? True Let h = -32 + 35.1. Let f = h - 0.1. Let n be 0/(-4)*(-3 - -2). Are n and f equal? False Let f be (11/(-22))/(30/22). Let r = 2/15 - f. Which is smaller: r or 2? r Suppose 0 = 4*j - 3*r - 13, j + 3*j = -2*r + 18. Which is smaller: 2 or j? 2 Suppose 0 = 3*w - 4*n - 28, -16 = -0*w - 3*w + n. Which is greater: 0 or w? w Let x be ((-1)/(-20))/((-8)/(-60)). Which is bigger: -1 or x? x Let z = -61.7 - 14.3. Let d = z - -70.9. Let j = d - -5. Which is bigger: j or 2? 2 Let h = 5.1 - 0.1. Let z = h - 4. Let w be ((1/(-7))/1)/1. Does w = z? False Let w = -6.03 + -0.57. Let u = w + 6. Let m = 0.7 + u. Which is greater: m or -0.1? m Let n = -0.16 - -0.17. Which is greater: 0 or n? n Let z = 446040977/924176 - 3/84016. Let r = -483 + z. Which is greater: 0 or r? 0 Let b = -25 - -32. Which is greater: b or 23/4? b Let y be 1 + (-4)/6*3. Let z be (-2)/(y + 2 + 0). Let h(n) = n**2 + 9*n + 5. Let b be h(-8). Which is smaller: b or z? b Let u = 1673582/407 - 4112. Let x = -1610/3663 + u. Do x and 1 have different values? True Suppose -19 = -7*o + 23. Suppose 2*b + 8 = o. Is b smaller than -25? False Suppose 2*z + 2*s = -19548, -6*s + 9783 = -z - 4*s. Let x = 1124339/115 + z. Let k = x + -6/23. Is -1 greater than or equal to k? False Let d(u) = -u**3 - 6*u**2 + 9*u - 3. Let x be d(-7). Let v = x - -11. Let j be v/30*10/12. Is 0 greater than or equal to j? True Suppose -21 = -a + 8*a. Which is bigger: -2 or a? -2 Let l be 2/(-3) + (-7)/(-15). Let p = 15 - 16. Which is smaller: p or l? p Let o(a) = -a**2 + 4*a - 1. Let x be o(3). Let l be -1 - (x - 54/21). Is 0 less than l? False Let z be 712744/(-14) + (-4)/(-14). Let h = z + 862854/17. Let r = h - -154. Do -1 and r have the same value? False Let q = 136 - 130. Which is greater: 8 or q? 8 Let k = 0.21 + -0.01. Which is bigger: -26 or k? k Let p(f) be the third derivative of -f**6/120 + f**5/10 - 3*f**4/8 + 2*f**3/3 - 2*f**2. Let a be p(4). Let m = -12/13 - -230/221. Which is smaller: a or m? a Let n = -0.3 - -1. Let l = n + -0.7. Which is smaller: l or -7? -7 Let f = -17/4 + 13/2. Let g = 15/4 - f. Which is smaller: g or 3? g Let n be ((-15)/90)/((-3)/(-4)). Let o(u) = -u**3 + u**2 - 1. Let f be o(-1). Is n less than f? True Let b be ((-2)/(-8))/((-99)/36). Which is smaller: 0 or b? b Let m = -14 + 10. Which is smaller: 0 or m? m Let z be 33/6 + 6/(-4). Suppose -z*u - 10 = 2*l, 2*l - 2*u = -3*l - 1. Is 1/4 at most as big as l? False Let y be -1 + 6*3/6. Let m = 14 - 7. Let v = m - 5. Is y at most v? True Let n = 1 - 5. Let o = 5 + 2. Let i(v) = v**2 - 9*v + 9. Let x be i(o). Which is smaller: x or n? x Suppose 2*c - 3*c + 4 = 0. Let z be ((-18)/c)/((-27)/45). Which is smaller: z or 8? z Let u = -0.78 + 0.7. Let h = u + 0.04. Let v = 0.24 + h. Is v less than or equal to -0.1? False Suppose 0 = 4*b - 3*b - 1. Let c be (-1)/(-4 + -2 + b). Which is smaller: 2 or c? c Let r = 7 - 11. Are r and -3 equal? False Let a be -34 + 1 - (0 - -1). Let w be (-2)/(-5) - a/(-10). Is -3 smaller than w? False Let u = -6 + 8. Let x = -2 + u. Which is smaller: x or 1/4? x Suppose -41 = 5*u + 99. Let z = -83/3 - u. Let n(q) = -2*q**2 + 2*q - 1. Let r be n(1). Is r bigger than z? False Let y be -3 - -7 - 1*6. Is y at most as big as -1? True Let g = 3 + -4. Let u = -0.9 - -1.8. Let r = g + u. Which is bigger: r or 4? 4 Suppose -u = 4*p - 16, -4*u = -0*p - p - 13. Suppose 0 = x - p*x. Suppose 0 = -2*c - 4*z - 4, 4*c - z + 3*z - 16 = x. Which is smaller: 7 or c? c Let y be 31/20 - (-9)/(-12). Suppose -4*t + 4*d = 12 - 0, 5*t + d + 9 = 0. Let l = t - -2. Is y <= l? False Let h(a) = a**3 + a**2. Let i be h(0). Let d be (-641)/236 + 4 + -1. Let n = d - 2/59. Is i at least as big as n? False Let a = -0.4 - 0.2. Which is bigger: 0.3 or a? 0.3 Let r = -1/17 - 29/85. Is -3/11 not equal to r? True Let f be (1/2)/((-5)/(-1020)). Suppose -3*v = 4*z + f - 612, -5*v - z = -850. Let b be (-8)/6*(-15)/v. Are 1 and b equal? False Let t = 7 - 4. Suppose -z + 2*z = t. Which is bigger: 0.2 or z? z Let h = 4 - 5. Is h at least -2/7? False Suppose 0 = 24*r + 39 + 9. Which is greater: r or 6? 6 Let x be 6/(2 - 40/15). Is x < -9? False Let l be (0 - -2)/(2 + 1). Let m be (-45)/25 + 8/(-6)*-3. Is l smaller than m? True Let y(w) = 2*w - 9. Let o be y(6). Suppose -u = -4*u - o. Which is bigger: u or 2/7? 2/7 Let t = 35.16 - 35. Is 1 greater than or equal to t? True Suppose 6*d - 2*d = 0. Suppose d*q - 1 = q. Let b = 11/12 - 25/36. Which is bigger: b or q? b Let g = 0.7 + 0.3. Is -4 < g? True Let w be ((-10)/3)/((-8)/12). Which is smaller: w or 6? w Let t = -307 - -3989/13. Let r(g) = g - 7. Let j be r(7). Is t >= j? False Let b = 17 - 16. Is b >= 1? True Suppose s - 2 = 0, -3*a + 3*s - 5*s - 5 = 0. Let f = a + 4. Let i be 6/(-4)*2 + f. Is -2 < i? False Let f = 20 + -16. Suppose -f*j = 4 - 0. Let m = -43 - -214/5. Is m >= j? True Let u(z) = 4*z**2 - 1. Let m be u(1). Let n be 0 + m + -2 - 3. Suppose 2 = b + 3*b + 2*w, -4*w = -20. Is n <= b? True Let o = 41 + -125/3. Let x = 7 - 7. Suppose x = -f - 0*f. Is f equal to o? False Let r(x) = x**3 - 4*x**2 - 4*x - 4. Let h be r(5). Let g = 21 - 12. Let n be ((g - h)/(-2))/(-2). Is -1 at most as big as n? True Suppose 3*p = -j + 472, 140 = -p + 2*p - 4*j. Let n be 2 - (-1)/((-80)/p). Which is smaller: n or 1? n Let l be ((-4)/2 + 1)/10. Is l less than or equal to -1? False Let j be 2/(-15) + (-4)/6. Suppose 0 = 8*q - 9*q. Which is bigger: q or j? q Let f be (-69)/(-99) + (-2)/6. Let g = f + -1/33. Which is smaller: g or 2/11? 2/11 Suppose -11 = w + 328. Let f be 5*(w/(-345) - 1). Suppose -2*x + 0*x
{ "pile_set_name": "DM Mathematics" }
e (4 - 22/5)*(-15)/2. Let c(t) = -2*t**3 - 4*t**2 - 3*t - 2. Let k be c(-2). Suppose -k*d = -g*d - 211. Is d composite? False Let g = 17 - 13. Suppose 6*h = g*h + 474. Is h a composite number? True Suppose 5*n - 15 = -2*i, -5*i - 6*n = -3*n - 9. Let k be i + (-4 - -3) - -7. Suppose 0 = 8*l - k*l - 212. Is l composite? True Suppose -14*d = -217128 + 69050. Is d composite? True Is (-958)/7*266/(-76) a composite number? False Let t = 1761 - 1170. Is t a prime number? False Is 62187/152 + 2/(-16) prime? True Let d = 784 - 468. Let b = 255 - -64. Let u = d + b. Is u a composite number? True Is -3 - (-2605 + (-11 - -4)) a prime number? True Let s(i) = 930*i**2 + 6*i - 10. Is s(2) prime? False Let z(c) = 118*c - 25. Is z(8) prime? True Suppose 0 = -x + 5*w + 841, -x + 4*w + 839 = -2*w. Is x prime? False Let y = 4875 + -3218. Is y prime? True Is -2*(-1 - 22230/12) a composite number? True Let l = -3405 - -6242. Is l composite? False Let n = 108 - 17. Suppose 0 = 5*x + 3 + 2, -n = -3*b - 2*x. Is b prime? True Let j(g) = -g**3 + 13*g**2 + g - 25. Let z be j(13). Is 1*(399 - z/(-3)) prime? False Suppose 0*w - 62 = 2*w. Let m = -18 - w. Is m composite? False Let r = 1325 - -4806. Is r a composite number? False Is 46/(-5 - (-7)/422*302) prime? False Suppose 0*k = -k - 5*a - 273, -3*a = 4*k + 1109. Let r = 175 - k. Let b = 814 - r. Is b a composite number? True Let w(q) = -75*q**3 - 7*q**2 - 3*q + 3. Is w(-4) prime? True Let n be (7 + -3 - 3)/(1/13). Is 53887/13 + (-8 - (-102)/n) prime? False Let c = -2 - -4. Suppose -k - 4*t + 41 = -0*t, t = 0. Suppose 0 = 5*x - 10, 3*p - c*x - 48 = k. Is p a composite number? False Let f(x) = 74*x**2 - 2*x - 3. Let d be f(-4). Suppose 5*g = 4*i - 1544, 0*i - 3*i - 4*g = -d. Is i composite? True Let h = 4407 + 13844. Is h prime? True Suppose -5*g + 4737 = -2*g. Suppose 2*v - g = 5*a, 0 = 3*v - 4*a - 247 - 2118. Is v a composite number? False Let i be (-10)/(-4)*96/12. Let q = 21 + -31. Is q/i + 755/2 a composite number? True Suppose -6 = 2*t - 4*r - 296, 0 = -5*t + 4*r + 731. Suppose 150*l - t*l = 4143. Is l a composite number? False Let u be (713/12 - (-1)/3)*-4. Let c = u + 1192. Is c a prime number? True Let f = 61 + -241. Let v = -62 - f. Suppose 17*j - 19*j + v = 0. Is j composite? False Let w(r) = -r**2 - 69*r - 229. Is w(-42) a prime number? False Let i be 4 - 6 - 6*-1. Is 2529 - (-4)/8*i a prime number? True Suppose 3*g + 2*p - 41945 - 2921 = 0, -5*p = -g + 14927. Suppose 51546 = -5*z + 2*m + g, 3*z + 21966 = -2*m. Is -1*2 + z/(-8) prime? False Suppose -5*o - 23 = 57. Let n be o/10*3660/(-8). Suppose 2*r - z + 1115 = 5*r, 2*r = 5*z + n. Is r a composite number? True Let l(w) = -w**3 + 12*w**2 - 9*w + 1. Let f be l(8). Suppose 3*q = -3*u + 255, 2*q = -5*u - 0*u + f. Suppose -3*k = -25 - q. Is k a composite number? True Is 1/(2*1 + (-94878)/47446) a composite number? False Let s = -20 + 19. Let m be ((-4)/(-8))/(s/36). Is ((-3)/(-2))/(m/(-36)) a composite number? False Let w(r) = 10*r**3 - 5*r**2 - r + 3. Let n be w(-3). Let b = 602 + n. Is b prime? True Let i(n) = 102*n**2 - 17*n + 149. Is i(22) a composite number? True Let o(l) = -443*l - 233. Is o(-30) a prime number? False Suppose x + a - 194127 = 0, -317286 = -x + 2*a - 123147. Is x prime? False Suppose z = 2 - 0. Suppose 100 + 44 = j - z*b, 291 = 2*j - 3*b. Let u = 523 - j. Is u prime? True Suppose -3*w - 140104 = -4*z, 4*z - 31245 - 108891 = -5*w. Is z composite? True Let f(b) = -19*b**3 - 8*b**2 - 7*b - 19. Let q = -75 - -70. Is f(q) prime? False Suppose 19 = 8*w - 5. Suppose 319 = 3*n - 2*i, w*n - 4*i - 231 = 80. Is n a composite number? False Let z be 13 - (0 + -3)*1. Is (-172)/z*2*-6 composite? True Suppose 4*k + 19 + 1 = -t, 0 = t + 2*k + 18. Let o be t/10*65/(-26). Suppose -x = -o*x + 633. Is x a composite number? False Suppose w - 2310 = -w. Suppose 37 - w = -2*m. Is m a prime number? False Suppose 568103 = 16*w - 179465. Is w a prime number? True Let v = -8 + 3587. Is v prime? False Suppose 5*v = 4*d - 6568, -5*d + 5*v + 167 = -8038. Is d prime? True Is (-2)/(-4) + (-1208061)/(-202) a prime number? True Suppose r + 13*w - 16032 = 14*w, -r = -5*w - 16028. Is r prime? True Let d(s) = 225*s - 26. Is d(3) a prime number? False Let w be 4/(-22) - 92976/(-143). Suppose -3*g - 5*k + 7717 = 0, w = g + 3*k - 1917. Is g composite? False Suppose 0 = -19*l + 18*l + 7. Is (1/(-2))/(l/(-4396)) prime? False Suppose 2*t + 5 = y, 5*t = 2*y - 0*t - 12. Let w be (y + 0)/((-17)/(-1717)). Let v = w - -28. Is v prime? False Let x(z) = -z**2 - 10*z - 8. Let p be x(-9). Let w(j) = 260*j**3 - 3*j + 2. Is w(p) composite? True Let g(f) = -37*f - 10. Suppose -3*o = 3, 3*i - 4*i - 2*o + 21 = 0. Let r = -30 + i. Is g(r) a prime number? False Suppose -2*o = -4*o. Suppose o*l + 3*l = 6. Suppose 3*p + a = 337, -2 = -4*p - l*a + 446. Is p a composite number? False Is (-4*6/(-16))/(3/1042) composite? False Let s(k) be the first derivative of k**4/4 - k**3 - k**2/2 - 5. Let f be s(3). Is 5960/(-4)*f/6 a prime number? False Let v(y) = -3*y**3 + 34*y**2 + 58*y + 53. Is v(-26) prime? True Suppose 20*o = 18*o + 61474. Is o composite? True Let r = 5 - 5. Let t be (-24)/20*(r + -5). Is (-2)/t + (-166)/(-3) a composite number? True Suppose -2*s + 15 = -9. Suppose 5*d + 5*c + 30 = 0, 0 = 3*d - d - 5*c + s. Is (291/d)/(2/(-4)) a prime number? True Let h = -1545 - -2651. Suppose 6*v - h = -v. Is v prime? False Let d(v) = 839*v - 57. Is d(16) a composite number? False Suppose -2*x - 15551 = -3*r - 2734, x + 12815 = 3*r. Is r prime? True Let u = 1 + -1. Suppose -3*g + 0*g - 15 = u. Let o(q) = q**3 + 9*q**2 - 6*q - 3. Is o(g) composite? False Suppose -5*x = -0*x - 5*w - 110600, 3*x = 2*w + 66363. Is x prime? True Let c = -76074 - -122207. Is c composite? False Let y(i) = 2*i**3 + 6*i**2 - 14*i - 16. Let p be y(-7). Let l = p + 689. Is l a prime number? True Let b(p) = 10*p**2 + 4*p + 4. Let d be b(-4). Let i = -21 + d. Is i a prime number? True Let h(v) = 5*v**2 - 2*v. Let t be h(-1). Let c(j) = 44*j + 1. Let r(f) = 89*f + 3. Let p(m) = t*c(m) - 3*r(m). Is p(3) composite? True Let a = -3 + 1. Let r(y) be the third derivative of -8*y**4/3 - y**3/6 - 9*y**2. Is r(a) a composite number? False Let o be (2*3/2)/(39/364). Suppose -202 = -3*l - z - 21, 118 = 2*l + 2*z. Suppose -j = -l - o. Is j composite? False Let u(k) = k**3 - k**2 + 1. Let c(v) = 70*v**3 - 6*v**2 + v + 7. Let g(x) = -c(x) + 5*u(x). Is g(-1) composite? True Let q(w) = -16*w. Let n be q(-4). Suppose 120 + n = 2*j. Let v = -58 + j. Is v a prime number? False Let n = 110 + -110. Suppose -293 = -w - g, -3*w - 4*g + 1116 - 237 = n. Is w prime? True Suppose 0 = 5*f - 366 + 56. Let i = f - 126. Let s = 7 - i. Is s a composite number? False Suppose -4*s - 2*j + 10 = -2, -16 = -4*s - 4*j. Let p(z) = -100*z - 3. Let r be p(-4). Suppose 0*c + s*o + 201 = c, 2*c = 3*o + r. Is c composite? False Let z(r) = 19*r**3 - 3*r**2 + 7*r - 6. Let y be z(4). Suppose -2*m + y - 120 = 0. Is m a prime number? False Let j = -11658 - -25481. Is j a composite number? True Suppose -2 = s - 4, 2*n + s = 304. Let h be (-96)/(-36)*(-183)/(-2). Let j = n + h. Is j composite? True Suppose -12*l = -q - 17*l + 3, -2*q + 6 = -2*l. Let m = -166 - -964. Suppose 0 = -q*h + m + 9. Is h a composite number? False Suppose -4*k + 875 = 10*w - 5*w, 4*w - 736 = 4*k. Is w composite? False Let k(h) = 4*h + 4*h - 4*h - 2. Let v be k(1). Suppose -v*d - 99 = -5*d. Is d a prime number? False Let k(o) be the third derivative of o**4/24 + 5*o**3/3 - 5*o**2. Let x be k(4). Suppose -5*i - 639 = -x*i. Is i a composite number? False Let k be 3 - (-12 - (-2 + -1)). Let n be 116*k + 11 + -10. Suppose -p = -2*p + n. Is p a composite number? True Let q = 22 + -17. Suppose -2*d = 2*s - 1 + q, -5*d - 10 = -3*s. Suppose -4*m + 1573 - 401 = s. Is m composite? False Suppose 4*a + 3*x = 91295, 4*a - 4*x - 99732 + 8444 = 0. Is a a composite number? True Suppose 4*c - g = 4*g - 3, -5*c - 5*g + 30 = 0. Suppose 5*p = d - 4*d - 6005, 5*p - c*d + 6005 = 0. Let f = p - -2022. Is f a prime number? True Suppose 2*u = -3*u + 10. Suppose -3*y + 5*y = 4, -u*y = 4*t - 10320. Is t a prime number? True Is (-4 - 34/(-8))*59924 composite? True Suppose -5*i + 766 = n, 2*n - 5*n - 5*i + 2308 = 0. Is n a composite number?
{ "pile_set_name": "DM Mathematics" }
2)/(sqrt(18)/sqrt(3)*-3))*-6. -72 + 38*sqrt(2) Simplify 2 + (sqrt(288) - (1 + sqrt(288))) + -2 - -2*(sqrt(288) + 1 + 5 + sqrt(288)). 11 + 48*sqrt(2) Simplify (sqrt(980)/sqrt(2))/(2*sqrt(245) + sqrt(5)) + 1. 7*sqrt(2)/15 + 1 Simplify (3 + sqrt(432) + 1)**2 + 0 - ((sqrt(432) - (1 + 1 + sqrt(432)) - sqrt(432)) + -3)**2. -24*sqrt(3) - 9 Simplify ((sqrt(325) + sqrt(325) + (sqrt(325) + -5 - sqrt(325)) - sqrt(325))*-4 + 4)**2*-1 + 1. -5775 + 960*sqrt(13) Simplify (-2*-1*sqrt(70)*-1)/(5*1*sqrt(160)). -sqrt(7)/10 Simplify ((1*sqrt(68) - sqrt(68))*-5 - sqrt(68))/(sqrt(12)/(-4*sqrt(3))). 4*sqrt(17) Simplify (-6*-4*(sqrt(832) + 2)*4*4*4)**2. 75497472*sqrt(13) + 1972371456 Simplify (sqrt(190) - (sqrt(190) + sqrt(190)*1*-1))/(sqrt(810)*-2) - ((-3*sqrt(133) + sqrt(133))/sqrt(7) + (-1*sqrt(1216))**2). -1216 + 35*sqrt(19)/18 Simplify 4*(-2 + sqrt(117) + 1 - (sqrt(117) + -2)*6). -60*sqrt(13) + 44 Simplify (sqrt(630)/sqrt(360))/(sqrt(81)/sqrt(576)). 4*sqrt(7)/3 Simplify (sqrt(288) + (sqrt(288) - ((2 + sqrt(288))*6 - sqrt(288))))**2 + 0 + -1 + -3*(-1 + sqrt(288)). 828*sqrt(2) + 2738 Simplify (6*(1 + -3*(1*(3 + sqrt(208)) + sqrt(208))))**2. 13824*sqrt(13) + 271872 Simplify -2 + ((4 + 1*sqrt(1088) + sqrt(1088) - (0 + sqrt(1088)*-1)**2) + -3)*2. -2176 + 32*sqrt(17) Simplify sqrt(3) + sqrt(18)/(sqrt(6)*-2) + sqrt(3) + -1 + -3 - (sqrt(3) + 0 + sqrt(363) - -1*sqrt(12)/sqrt(4)). -23*sqrt(3)/2 - 4 Simplify (((sqrt(2448) - (sqrt(2448) + 1))*5 - (sqrt(2448) - (sqrt(2448) - (sqrt(2448)*-2 + -1 + sqrt(2448)))))*5)**2*1. -2400*sqrt(17) + 61600 Simplify 6*((sqrt(160)/(sqrt(16)/sqrt(4)))/sqrt(8))**2*1. 30 Simplify (sqrt(56) - (sqrt(56) + sqrt(448)/(sqrt(24)/sqrt(3))) - sqrt(6776)*1)/(sqrt(1152)*1 - -5*(sqrt(128) - sqrt(8))). -4*sqrt(7)/9 Simplify (-6*(-4*(5 + -1*sqrt(3)) - 5*(sqrt(27) + sqrt(54)/sqrt(2))))**2. 37440*sqrt(3) + 87408 Simplify ((-1 + sqrt(12)/sqrt(4))**2 - 1*sqrt(48)) + 5 + (-2 + sqrt(300) + sqrt(300))**2 + -5 + (sqrt(3) - sqrt(3)*-1). -84*sqrt(3) + 1208 Simplify (0 + 5*(2 + 5 + 0 + sqrt(32)))*-1. -35 - 20*sqrt(2) Simplify (2 + 2 + (sqrt(125)*2 + sqrt(125))**2 + -3 + 3)*-3. -3387 Simplify (((sqrt(1573) - 3*(sqrt(1573) - sqrt(1573)*2)) + sqrt(1573))**2 + ((1 + 1 + sqrt(1573))**2 - sqrt(1573)))*-6. -245412 - 198*sqrt(13) Simplify (-4 + 2*((sqrt(500) - (4 + (1*sqrt(500) - sqrt(500)))) + -4))**2. -800*sqrt(5) + 2400 Simplify (sqrt(91) - -2*sqrt(91)*-5)/sqrt(7) + (sqrt(1053) - -6*sqrt(1053)*6). 324*sqrt(13) Simplify (3*sqrt(832) + -1 - (sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117) + -2*(sqrt(117)*3 - sqrt(117) - sqrt(117)) + sqrt(117)) - sqrt(117)))/sqrt(9))**2. -48*sqrt(13) + 7489 Simplify -5 + (2*sqrt(832) + 1 + 1)**2. 64*sqrt(13) + 3327 Simplify ((2*((sqrt(931)*-1 - sqrt(931)) + sqrt(931)) - (sqrt(931) + sqrt(931) + -1 + 5))*-6)**2*6. 48384*sqrt(19) + 3220992 Simplify ((5 + (1*sqrt(35))/sqrt(5))*-5)**2 + (-5 + sqrt(175) + (sqrt(175)*-2 - sqrt(175)) + sqrt(175))*-5. 275*sqrt(7) + 825 Simplify -1*(((1*(1*sqrt(156) - sqrt(156)))/sqrt(12))**2 - (4 + (sqrt(104) + (sqrt(104) - sqrt(104)*-3))/sqrt(8))). 4 + 5*sqrt(13) Simplify (sqrt(44)/(sqrt(12)/sqrt(3)))**2*-6 - (-2 + sqrt(275) + 1 + sqrt(275)). -65 - 10*sqrt(11) Simplify ((-5*sqrt(1782)*3)/(((sqrt(110)*3 - sqrt(110))*-4)/sqrt(10)))**2. 18225/32 Simplify (3*4*(-2 + sqrt(7) + sqrt(7) + 0 + (sqrt(63)*-1)/sqrt(9)))**2. -576*sqrt(7) + 1584 Simplify 4 + sqrt(243) + (sqrt(243) + 1 + 1)**2 + (-4 + sqrt(12)/(sqrt(4) - sqrt(36)))**2. 49*sqrt(3) + 1071/4 Simplify (-1*(sqrt(76) + -6*sqrt(76)*-2 - sqrt(76)))/((sqrt(64) + sqrt(4))*-6 - (-6*(sqrt(12)/sqrt(3) + sqrt(4)) + sqrt(4))). 12*sqrt(19)/19 Simplify 0 + -6*(sqrt(304) + 1)*-5*5. 150 + 600*sqrt(19) Simplify (sqrt(272) + sqrt(272) + -1 + 4 + sqrt(272))**2 - (sqrt(272) + 3*sqrt(272)*3). 32*sqrt(17) + 2457 Simplify (0 + -4 + 4*sqrt(176)*-2)**2. 256*sqrt(11) + 11280 Simplify -1 + -6*-1*(-4 + sqrt(125) + 1)**2*-6. -4825 + 1080*sqrt(5) Simplify 5*(-1 + (sqrt(242) + -2)**2)*3. -660*sqrt(2) + 3675 Simplify (sqrt(33)/(sqrt(33)/(sqrt(6)/sqrt(2) + sqrt(3))) + (4 + sqrt(75))*1)**2. 56*sqrt(3) + 163 Simplify (sqrt(11) - (sqrt(11) - sqrt(176))**2)*2 + (sqrt(44) - (sqrt(44) - sqrt(44)*2))/sqrt(4) + sqrt(1100)*-2 + (2*sqrt(44))**2 + 5. -16*sqrt(11) - 17 Simplify (sqrt(170)*-4*3 - sqrt(170) - sqrt(170))/((sqrt(90)*1)/sqrt(9)) + 2. -14*sqrt(17) + 2 Simplify (5 + -2*sqrt(63)/(sqrt(9) + sqrt(27)/sqrt(3)) - (sqrt(336)/(sqrt(6)*-2))/(1*sqrt(392)))**2. -65*sqrt(7)/7 + 869/28 Simplify (4*(sqrt(2299) - (-1 + sqrt(2299))) + sqrt(2299) + sqrt(2299) - (-1 + sqrt(2299)*1 + sqrt(2299)))**2 + -4. 21 Simplify (3 + sqrt(1088)*-2 - (-4 + (sqrt(1088) + (sqrt(1088) - (sqrt(1088) - (1 + sqrt(1088) + sqrt(1088)))) + sqrt(1088))**2)) + 5. -17397 - 80*sqrt(17) Simplify 3 + ((-1*(sqrt(420)/sqrt(192) - sqrt(35)))/(sqrt(196)/sqrt(7)*5))**2. 969/320 Simplify (((sqrt(136)*1 + sqrt(136) - sqrt(136))/sqrt(8))**2 + sqrt(272) + 2)*-6. -114 - 24*sqrt(17) Simplify ((-3 + 1*(1*sqrt(272) + sqrt(272)))*5)**2. -1200*sqrt(17) + 27425 Simplify (5 + (sqrt(847) - (-4 + sqrt(847))) - sqrt(35)/(sqrt(50)/(sqrt(10)*-2 - sqrt(10))))**2. 54*sqrt(7) + 144 Simplify 1*sqrt(425) + -4 + 3*(sqrt(1088) + 1). -1 + 29*sqrt(17) Simplify (sqrt(78) + 1*(sqrt(78) - -2*sqrt(78) - sqrt(78)) - -2*sqrt(78)*1)/(sqrt(66)/(sqrt(891) + sqrt(891)*1 - sqrt(891))). 45*sqrt(13) Simplify (sqrt(48)/sqrt(6)*6)/(sqrt(576) + (sqrt(576) - sqrt(576)*-3) + sqrt(576)) + 3. sqrt(2)/12 + 3 Simplify (3*sqrt(684) + -2 + sqrt(1216))**2 - ((-1*sqrt(684) - sqrt(684)) + (sqrt(19) - 1*sqrt(76)))*-6. -182*sqrt(19) + 12848 Simplify -2 + 5*(sqrt(72) - (sqrt(72) + 4*sqrt(72) + sqrt(72)))*5 + 4. -750*sqrt(2) + 2 Simplify 0 + (((-4*sqrt(343) + sqrt(343))*-3)**2 - (sqrt(21)/(2*sqrt(243)))**2). 9001685/324 Simplify ((sqrt(99) - (-1 + sqrt(99))*-6)*5)**2 + -3 + -1. -6300*sqrt(11) + 122171 Simplify -2 + (sqrt(567)*1 + sqrt(7) + (-1*sqrt(700) - sqrt(7)))**2 + (-1*sqrt(14)*-1)/((sqrt(18) - -2*sqrt(18))/sqrt(9)). sqrt(7)/3 + 5 Simplify (2*(-4 + sqrt(833) + sqrt(833) + -1 + sqrt(833) + sqrt(833) + 2 + sqrt(833) + 3*sqrt(833) + sqrt(833)))**2 + -5. -1512*sqrt(17) + 269923 Simplify sqrt(38)/sqrt(2) + 0 - sqrt(171)/(sqrt(18)/sqrt(2)) - (((1*sqrt(152) - sqrt(152)) + sqrt(152))*-6)/sqrt(8). 6*sqrt(19) Simplify 1 + 0 + sqrt(243) + 1 - (-4 + 4*(0 + sqrt(243)) + sqrt(243))**2. -6089 + 369*sqrt(3) Simplify sqrt(17)*1 + -2 + -2 - (sqrt(51)/(sqrt(3)*-1 - sqrt(3)) - (sqrt(17) + (1 + sqrt(17) - sqrt(17)) + 1)). -2 + 5*sqrt(17)/2 Simplify (sqrt(1872) + (5*sqrt(1872)*-2 - sqrt(1872)) - sqrt(1872))/((sqrt(252) + sqrt(28))/sqrt(7) + sqrt(108)/sqrt(3) + sqrt(36) + sqrt(4)). -6*sqrt(13) Simplify (1*(-3 + sqrt(8)) + 4 + (sqrt(2) - sqrt(250)/sqrt(5)))**2. -4*sqrt(2) + 9 Simplify (sqrt(170)/sqrt(90) - (-1*sqrt(17)*-6 - sqrt(17)))**2 + sqrt(102)/(sqrt(18)/sqrt(3)) + -1. sqrt(17) + 3323/9 Simplify (sqrt(99) - -5*sqrt(99))*-5 - (-3 + sqrt(1331) + 2)**2. -1332 - 68*sqrt(11) Simplify (-3 + sqrt(931) + -3 + -4 + 4*sqrt(931))**2. -700*sqrt(19) + 23375 Simplify 5*(-3 + -1 + sqrt(832) - sqrt(832) - ((sqrt(832)*1*1)**2 - sqrt(832))) + 0. -4180 + 40*sqrt(13) Simplify ((4*sqrt(99)*-5 - sqrt(99) - sqrt(99))**2 - sqrt(99)) + sqrt(99)*-1*-3. 6*sqrt(11) + 47916 Simplify (sqrt(2736) - (-3 + (sqrt(2736) + 2 - sqrt(2736))))**2 - 2*(sqrt(19) + -2 + 0). 22*sqrt(19) + 2741 Simplify 3*(sqrt(384)/(-2*sqrt(8)) + sqrt(48) + sqrt(1200) + (sqrt(1200) - (sqrt(1200)*1 - sqrt(1200))) + sqrt(48) + -5)**2. -1380*sqrt(3) + 19119 Simplify (4*-4*(sqrt(119) + -1*sqrt(119)))/((sqrt(7) - sqrt(7)*-2)*-2*-6). 0 Simplify (sqrt(17) - (sqrt(17) + sqrt(2057)*-2) - (sqrt(68)*2)**2) + 6*(sqrt(68)*-1)/sqrt(4). -272 + 16*sqrt(17) Simplify (1 + sqrt(162) + 5 + 4 + 0)*3. 30 + 27*sqrt(2) Simplify ((-3 + sqrt(300) + 4 + sqrt(300))*-1)**2 + 5 + sqrt(300) + -6*(sqrt(300) + -3*sqrt(300))**2. -5994 + 50*sqrt(3) Simplify (2 + sqrt(480)/sqrt(160)*3 + 0)*6. 12 + 18*sqrt(3) Simplify (sqrt(1584) + -5*sqrt(1584)*-6 + -1)*3*-5. -5580*sqrt(11) + 15 Simplify -1 + (5*(sqrt(180)*1*-6 - (2 + sqrt(180) + -4)))**2. -4200*sqrt(5) + 220599 Simplify ((sqrt(170)/(sqrt(50)/(sqrt(5) + sqrt(10)/sqrt(2))) + -6*(sqrt(3264) - sqrt(51))/sqrt(3))*3)**2. 244800 Simplify -4 + 4*(-6*sqrt(176))**2*6. 152060 Simplify 0 + (3*sqrt(363) + 2)*4. 8 + 132*sqrt(3) Simplify -4*-2*((sqrt(475) - (0 + (sqrt(475
{ "pile_set_name": "DM Mathematics" }
e Does 1930 divide 128454341? False Does 34 divide 350126047? False Is 1556 a factor of 19460892? True Is 719088677 a multiple of 109? False Does 20 divide 906264753? False Does 205 divide 110102220? True Does 91 divide 19040294? True Does 1318 divide 455155484? True Is 599 a factor of 2606848? True Is 3068406 a multiple of 16? False Is 403 a factor of 18580718? True Does 4530 divide 30312028? False Does 281 divide 121394042? False Is 109 a factor of 25512104? True Is 5785 a factor of 443802060? True Is 1587800995 a multiple of 117? False Is 168 a factor of 2860879398? False Does 17 divide 433372381? True Is 167 a factor of 1639558739? True Is 3400 a factor of 297714200? True Is 11468 a factor of 1496414917? False Is 29396777 a multiple of 61? False Is 11295001 a multiple of 251? False Does 9 divide 72536526? True Is 410963220 a multiple of 90? True Does 860 divide 128399720? True Is 2332297944 a multiple of 2292? True Is 7559560 a multiple of 68? True Is 17 a factor of 109551795? False Does 70 divide 595741724? False Is 129 a factor of 13468193? False Is 18835893 a multiple of 23? False Does 8 divide 76016976? True Does 6527 divide 759227167? True Is 88352588 a multiple of 307? False Does 69 divide 79047973? False Does 260 divide 698737747? False Is 1543507836 a multiple of 16? False Is 53 a factor of 900700020? True Does 1734 divide 683196? True Is 2303 a factor of 111528858? False Is 31 a factor of 69233633? True Is 12 a factor of 444300? True Is 172 a factor of 134446380? True Is 13 a factor of 1039198458? False Is 4156 a factor of 3149348297? False Is 17762210 a multiple of 333? False Is 72149259 a multiple of 93? False Is 2781 a factor of 774788519? False Is 3 a factor of 19120206? True Is 13 a factor of 16264339? True Is 128521906 a multiple of 113? True Is 271 a factor of 17344000? True Does 5867 divide 1009887765? False Is 70 a factor of 655002581? False Is 2526 a factor of 136555259? False Is 9663888 a multiple of 312? True Is 2 a factor of 5479298? True Does 134 divide 129942346? True Is 3044 a factor of 56036996? True Is 896995000 a multiple of 11? True Does 65 divide 68304730? True Does 1933 divide 61999663? False Is 34 a factor of 151984216? True Is 76 a factor of 136322593? False Does 96 divide 747796320? True Is 120534543 a multiple of 1171? True Does 25 divide 178304800? True Is 23803648 a multiple of 88? True Is 6 a factor of 107847972? True Is 2752 a factor of 40682816? True Is 4 a factor of 724194643? False Is 532521 a multiple of 35? False Is 11 a factor of 41910298? False Is 1320722 a multiple of 158? True Is 219 a factor of 1220183247? True Does 10 divide 210175700? True Is 12 a factor of 35924148? True Does 2310 divide 29942220? True Is 12358944 a multiple of 156? True Is 6245 a factor of 1481838580? True Is 9302797 a multiple of 1164? False Does 1192 divide 3547693288? False Does 120 divide 250766400? True Is 377002239 a multiple of 809? False Is 1519552695 a multiple of 971? False Is 269 a factor of 1663450372? False Is 6 a factor of 30315941? False Does 225 divide 78492955? False Does 1213 divide 101113254? True Is 570272976 a multiple of 273? True Does 17 divide 2633670483? False Is 4356 a factor of 2714197464? True Is 37 a factor of 609241593? True Does 267 divide 65269752? True Does 40 divide 39043489? False Is 147 a factor of 49988967? True Does 841 divide 1069752? True Is 25657178 a multiple of 34? False Does 25 divide 6096434? False Is 104 a factor of 2942645? False Is 1436 a factor of 29043100? True Is 116758299 a multiple of 179? True Is 77 a factor of 84875171? False Is 330009200 a multiple of 100? True Is 1951 a factor of 1640089848? False Does 4866 divide 151370731? False Does 1949 divide 378003752? False Is 177 a factor of 488475042? True Is 56352137 a multiple of 239? True Does 15 divide 306929970? True Is 1468770292 a multiple of 44? True Is 24 a factor of 21924930? False Is 77483175 a multiple of 385? True Is 1196 a factor of 24602387? False Does 5519 divide 1077396012? False Is 3 a factor of 8349588? True Is 88762338 a multiple of 1938? True Does 192 divide 16942566? False Is 41442555 a multiple of 82? False Is 4576718120 a multiple of 18? False Is 1343373927 a multiple of 8391? True Does 12 divide 2396579065? False Is 816251331 a multiple of 433? True Does 212 divide 1111079704? True Does 278 divide 148077256? True Is 161 a factor of 84969752? False Is 47507568 a multiple of 58? True Is 98160663 a multiple of 95? False Does 1976 divide 362437693? False Does 197 divide 95481727? False Is 328 a factor of 2170376? True Does 4063 divide 46797634? True Does 738 divide 11049596? False Does 16 divide 490000? True Is 168 a factor of 41502888? True Is 1868117095 a multiple of 10205? True Does 38 divide 792015198? False Is 22 a factor of 264329714? True Is 56 a factor of 13475890? False Is 796488224 a multiple of 32? True Does 113 divide 953439986? True Is 902 a factor of 40710159? False Is 787571460 a multiple of 20? True Is 140230593 a multiple of 299? False Does 67 divide 808686833? False Is 8 a factor of 208730642? False Is 11420350 a multiple of 4? False Is 533324364 a multiple of 123? False Is 8 a factor of 957328568? True Is 22 a factor of 876653802? False Is 155 a factor of 969406270? True Is 137 a factor of 216534843? False Is 8372718 a multiple of 10? False Is 1003 a factor of 31428002? True Is 45 a factor of 743113727? False Is 291 a factor of 6263775? True Is 854134714 a multiple of 82? True Is 113 a factor of 3268783348? False Does 15 divide 265748272? False Is 22331603 a multiple of 677? False Is 891 a factor of 1673965359? True Is 914792678 a multiple of 1598? True Does 114 divide 182386206? True Is 6934 a factor of 279426332? True Does 14 divide 105703399? False Is 282 a factor of 50523402? True Is 469496639 a multiple of 21? False Is 73876968 a multiple of 527? True Is 2296 a factor of 794365488? True Does 1595 divide 176303110? False Is 204 a factor of 1567749996? True Does 810 divide 138698157? False Does 59 divide 2338712148? False Is 307933632 a multiple of 144? True Is 852105708 a multiple of 37? True Is 64 a factor of 191892800? True Is 693 a factor of 19825041? False Does 26 divide 18519130? False Is 42650630 a multiple of 38? True Is 80 a factor of 6816720? True Is 5 a factor of 8639195? True Is 74535402 even? True Does 258 divide 146743434? True Is 253 a factor of 1971588? False Is 17 a factor of 1329837862? False Is 1053118327 a multiple of 9? False Does 38 divide 326957244? True Is 3337 a factor of 50775959? False Is 1474 a factor of 31527738? False Does 348 divide 35629522? False Is 12 a factor of 911874456? True Does 930 divide 120276668? False Is 1136360826 a multiple of 486? True Is 213 a factor of 824829081? True Is 2 a factor of 23981868? True Is 302738378 a multiple of 9? False Does 362 divide 1391890? True Is 1633283455 a multiple of 12? False Is 3 a factor of 485780891? False Does 2 divide 241369172? True Is 413726469 a multiple of 49? False Is 57 a factor of 59717208? False Is 2203266020 a multiple of 7723? False Does 4703 divide 36584637? True Does 123 divide 18881976? True Is 13015563 a multiple of 451? False Is 88 a factor of 284342080? True Does 1197 divide 527718484? False Is 575242532 a multiple of 34? True Is 962 a factor of 54957897? False Does 24 divide 96226743? False Is 216372900 a multiple of 300? True Is 278 a factor of 68280195? False Is 65 a factor of 118863875? True Is 255929650 a multiple of 50? True Is 1524474 a multiple of 18? True Does 10 divide 100889380? True Is 612299427 a multiple of 8? False Is 1187853594 a multiple of 173? False Is 189 a factor of 5408716? False Does 802 divide 11207950? True Is 111682007 a multiple of 21? False Does 1404 divide 13232700? True Is 12731221 a multiple of 5? False Is 83510218 a multiple of 10? False Is 25 a factor of 13324291? False Is 2199 a factor of 22913580? True Does 524 divide 64723925? False Is 1637359531 a multiple of 124? False Does 6 divide 7398185? False Is 76169667 a multiple of 21? True Does 758 divide 13938862? True Is 412744950 a multiple of 30? True Does 22 divide 7906206? True Is 3 a factor of 979476? True Is 293079807 a multiple of 3477? True Is 16 a factor of 18477730? False Is 2209272 a multi
{ "pile_set_name": "DM Mathematics" }
62890, 2, 1, -3 Put -2, -1280, 3, 1, -29, -5 in ascending order. -1280, -29, -5, -2, 1, 3 Put 40, -1, 4, -7, 5 in decreasing order. 40, 5, 4, -1, -7 Put 954, 3, -2 in increasing order. -2, 3, 954 Put -1081, 2, -28 in decreasing order. 2, -28, -1081 Sort 4, 20, 0, -1, 163 in increasing order. -1, 0, 4, 20, 163 Sort -2, -3, 1/3, 1/6, -0.01, 7857 in decreasing order. 7857, 1/3, 1/6, -0.01, -2, -3 Sort 15, 0.18, 4/3, 84, -0.4 in descending order. 84, 15, 4/3, 0.18, -0.4 Put 0.2, 109, -52, -4/7 in descending order. 109, 0.2, -4/7, -52 Put 5164, 2, -2, 4, 19 in descending order. 5164, 19, 4, 2, -2 Put 2/9, -0.08, 3876 in decreasing order. 3876, 2/9, -0.08 Sort -5, -4, 5, -85, 1 in descending order. 5, 1, -4, -5, -85 Sort 9004, 5, -4 in descending order. 9004, 5, -4 Put -3, 23, -6 in descending order. 23, -3, -6 Put -62, -0.07, -2, -9, 1/3, 2/9 in ascending order. -62, -9, -2, -0.07, 2/9, 1/3 Sort -11, -7, -352. -352, -11, -7 Sort 6, -11, -4, 0, 1, -3 in increasing order. -11, -4, -3, 0, 1, 6 Sort 0.079, -2/5, 82. -2/5, 0.079, 82 Sort -1119, 2, -11, -1. -1119, -11, -1, 2 Sort -2397, 2, 1, 16. -2397, 1, 2, 16 Put 433, -1, 5, 2, -4 in descending order. 433, 5, 2, -1, -4 Put 10, -4945, -1, 3 in descending order. 10, 3, -1, -4945 Sort -0.01, 5/5829, 2/7 in decreasing order. 2/7, 5/5829, -0.01 Sort -1335, -15, 3. -1335, -15, 3 Sort -5, -2, 1199, 0, 2 in increasing order. -5, -2, 0, 2, 1199 Put -29, 9/4, 1/3, 209 in decreasing order. 209, 9/4, 1/3, -29 Put -19, -7, -254 in descending order. -7, -19, -254 Put -2/25, -1/5, 56 in increasing order. -1/5, -2/25, 56 Put 5, -60, 1/3, 0, 4, -11 in decreasing order. 5, 4, 1/3, 0, -11, -60 Sort 0.052, 42, -2/33 in ascending order. -2/33, 0.052, 42 Sort 8, -24, 0, -5, -3 in decreasing order. 8, 0, -3, -5, -24 Put 3, 518, 0, 4, -1 in descending order. 518, 4, 3, 0, -1 Sort 3, 1, 38924 in descending order. 38924, 3, 1 Put -5, 2, -4, -25, 4 in increasing order. -25, -5, -4, 2, 4 Sort -2, 8, 9, -5, -2813, -1. -2813, -5, -2, -1, 8, 9 Put -1, 2833, 12 in descending order. 2833, 12, -1 Put -9, -10, -5, 4, -111, 1 in descending order. 4, 1, -5, -9, -10, -111 Put -4/3, -82, 0 in descending order. 0, -4/3, -82 Put -1, 12, 0.3, 4, -0.4, -3.41 in decreasing order. 12, 4, 0.3, -0.4, -1, -3.41 Put -104, 28, 5 in increasing order. -104, 5, 28 Sort 2/3, -6, -3, 5, -0.4, 4 in descending order. 5, 4, 2/3, -0.4, -3, -6 Put -2, 1, 6, 0, 7 in decreasing order. 7, 6, 1, 0, -2 Sort 1, -20384, 4 in decreasing order. 4, 1, -20384 Put -3, 2, -1, 3, 13, -29 in increasing order. -29, -3, -1, 2, 3, 13 Sort -4/9821, 1.2, -2. -2, -4/9821, 1.2 Sort 14, -164, 3, -5, -4. -164, -5, -4, 3, 14 Sort 24, -3, -1, -2.799. -3, -2.799, -1, 24 Sort -5, -1673, 4, -2 in decreasing order. 4, -2, -5, -1673 Sort 7, -31.7, 0.3, 1/33 in decreasing order. 7, 0.3, 1/33, -31.7 Sort 315, 3/2, 4, 2 in descending order. 315, 4, 2, 3/2 Put 0, 1159, -1, 3, 4 in descending order. 1159, 4, 3, 0, -1 Sort -1/3, -137, 5, 0.5, -0.5, -2 in ascending order. -137, -2, -0.5, -1/3, 0.5, 5 Put 15, 3, 14, -16 in descending order. 15, 14, 3, -16 Sort -5, -2, 6, 273, -4, -1 in descending order. 273, 6, -1, -2, -4, -5 Put 5, -1, 18, 1, -9 in decreasing order. 18, 5, 1, -1, -9 Put 29, 41, 1, 4 in decreasing order. 41, 29, 4, 1 Sort -8, 4, 15833 in ascending order. -8, 4, 15833 Sort -8, -3, 285, 0, 1, -2 in decreasing order. 285, 1, 0, -2, -3, -8 Sort -89600, 1, -1/6 in decreasing order. 1, -1/6, -89600 Sort 15, -5, -139 in ascending order. -139, -5, 15 Put -145, -3, -1, 2, -5, 4 in descending order. 4, 2, -1, -3, -5, -145 Sort 4, -1, -11, -9, 3, -14. -14, -11, -9, -1, 3, 4 Put 2.9, 2/31, -8/5 in ascending order. -8/5, 2/31, 2.9 Sort 0.04, -3, 14/5, -7. -7, -3, 0.04, 14/5 Put -31, 120, 3, -4, 4 in decreasing order. 120, 4, 3, -4, -31 Sort -6/5, -0.3, 102, 4 in ascending order. -6/5, -0.3, 4, 102 Put -0.03, 524, 4, -0.5, -5, -0.2 in ascending order. -5, -0.5, -0.2, -0.03, 4, 524 Sort 3, -5, 0.06, 4/33, -0.5 in increasing order. -5, -0.5, 0.06, 4/33, 3 Put -121, 1, 0.06, 8, -1 in descending order. 8, 1, 0.06, -1, -121 Put 8, -64, -1, 28 in descending order. 28, 8, -1, -64 Sort -49, 0.4, -3, -2/7, 1/4 in increasing order. -49, -3, -2/7, 1/4, 0.4 Sort 108, 1, 6, -5, -1, 4 in decreasing order. 108, 6, 4, 1, -1, -5 Sort -5, -741, 5, -2 in decreasing order. 5, -2, -5, -741 Put 61, 258, -1 in descending order. 258, 61, -1 Put 5, -121658, 0 in increasing order. -121658, 0, 5 Put -1/3, 1, -7.5 in descending order. 1, -1/3, -7.5 Sort -16, -0.4, -5, 50 in descending order. 50, -0.4, -5, -16 Sort 1, -4/3, 2/9, -1/647, 0.3 in ascending order. -4/3, -1/647, 2/9, 0.3, 1 Put -4, 18, -142, 4, -3 in decreasing order. 18, 4, -3, -4, -142 Sort 4, -2810, -233 in descending order. 4, -233, -2810 Put 13, 1, 1586 in increasing order. 1, 13, 1586 Put -175, 4, 1, -5, 18 in decreasing order. 18, 4, 1, -5, -175 Put 2/87, 4, -1414 in decreasing order. 4, 2/87, -1414 Put 4, -36, -208 in ascending order. -208, -36, 4 Sort -37594, 3, -17 in ascending order. -37594, -17, 3 Sort 0, -727, 0.4, -2, -3, 2 in decreasing order. 2, 0.4, 0, -2, -3, -727 Put 0, 582, -21 in increasing order. -21, 0, 582 Put 0.5, 2/325, -1/2, -4, -2/33 in ascending order. -4, -1/2, -2/33, 2/325, 0.5 Put -2, 9, 3, -0.009, -2/9, 0.01 in decreasing order. 9, 3, 0.01, -0.009, -2/9, -2 Sort -2, -45, 12, -1, 2/9. -45, -2, -1, 2/9, 12 Put 55, -2477, -12 in descending order. 55, -12, -2477 Put -9, -36, -6, -1, 5 in descending order. 5, -1, -6, -9, -36 Sort 17718, -1, -2, -3 in increasing order. -3, -2, -1, 17718 Put -10.6, 4, 1/3, -0.2, -3, -4/9 in increasing order. -10.6, -3, -4/9, -0.2, 1/3, 4 Put -3, -194/3, -5, 3 in increasing order. -194/3, -5, -3, 3 Sort -2.6, -0.1, -11475 in descending order. -0.1, -2.6, -11475 Sort 273, 4, 18 in ascending order. 4, 18, 273 Put -5, -1091, 0 in descending order. 0, -5, -1091 Put 1, 6312, -4 in descending order. 6312, 1, -4 Sort 75, -4, -3, -41 in descending order. 75, -3, -4, -41 Put -1/5, 1.8, 4.55, 3, -0.4 in ascending order. -0.4, -1/5, 1.8, 3, 4.55 Sort -1, 58, 0, -188, -2, 4 in decreasing order. 58, 4, 0, -1, -2, -188 Sort -0.2, 5, -2167852. -2167852, -0.2, 5 Sort -1, -22, 0, 1, -23. -23, -22, -1, 0, 1 Sort -43, 2, 46, -2, -5, 0 in decreasing order. 46, 2, 0, -2, -5, -43 Put 2, -4, -11, 33, 43 in descending order. 43, 33, 2, -4, -11 Sort 5, 51, -0.2, 41, -5, 1 in ascending order. -5, -0.2, 1, 5, 41, 51 Sort 0.06, 1.2, 1/3, -3/7, -1 in increasing order. -1, -3/7, 0.06, 1/3, 1.2 Sort -1, -3/5, -348, -0.5, -1/9 in increasing order. -348, -1, -3/5, -0.5, -1/9 Put -3, 5, 3, 8, -150 in descending order. 8, 5, 3, -3, -150 Put 2/11, -4, -20596.7, -1/5 in ascending order. -20596.7, -4, -1/5, 2/11 Sort -8, -0.053, -4, 5, -2/9 in increasing order. -8, -4, -2/9, -0.053, 5 Sort -3, -1, 1, -4, -13. -13, -4, -3, -1, 1 Sort -2, 1, -21, -8 in increasing order. -21, -8, -2, 1 Sort 189, -461, -0.4 in descending order. 189, -0.4, -461 Sort -192338, -5, 0.3 in descending order. 0.3, -5, -192338 Put -86/13, -0.2, 1.9 in increasing order. -86/13, -0.2, 1.9 Sort 52.8, 3, 1/6, 2. 1/6, 2, 3, 52.8 Put 172, -15, 4, -3, -1, -2 in increasing order. -15, -3, -2, -1, 4, 172 Put -1, 129, -948, 4 in decreasing order. 129, 4, -1, -948 Sort 0, -40668, 0.1, -2. -40668, -2, 0, 0.1 Sort 54, -3/2, 1/809, -1 in decreasing order. 54, 1/809, -1, -3/2 Put 548, 27, 0 in descending order. 548, 27, 0 Sort -125, 37, -1/19, 1/2. -125, -1/19, 1/2, 37 Sort -160, 8, 3, -5, 5. -160, -5, 3, 5, 8 Put 0.01936, -0.4, -7 in increasing order. -7, -0.4, 0.01936 Sort 4, 558, -38 in decreasing order. 558, 4, -38 Put -1, -3, 921, 4 in descending order. 921, 4, -1, -3 Sort 101, 5, -2, -0.3, 3, 0.4 in ascending order. -2, -0.3, 0.4, 3, 5, 101 Put 0.1, -0.4, -7.2, -198 in ascending order. -198, -7.2, -0.4, 0.1 Sort 1/2, 2/549, 0.3. 2/549, 0.3, 1/2 Put -4, -13741, -1, 3 in descending order. 3, -1, -4, -13741 Put 3, 5, -4, 18, 12, 0 in increasing order. -4, 0, 3, 5, 12, 18 Put 0, -0.4, 0.5, 8955, -3/5 in decreasing order. 8955, 0.5, 0, -0.4, -3/5 Sort 2798, -4, 1, 3, -5, 5 in descending order. 2798, 5, 3, 1, -4, -5 Sort 0.4, -3/5, 0.474, 3 in descending order. 3, 0.474, 0.4, -3/5 Sort -1, 1, -1/29, 14.5, -2/7. -1, -2/7, -1/29, 1, 14.5 Sort 0.1, 0.012, 2654 in decreasing order.
{ "pile_set_name": "DM Mathematics" }
ative of -j**4/6 - 29*j**3/6 - 6*j**2 - 6. Let x(t) = 3*t + 20. Let n(v) = -5*d(v) - 7*x(v). What is n(0)? 5 Suppose -2*h + 6 = 0, -676 = -16*v + 12*v + 4*h. Let r = -165 + v. Let t(j) = -j**2 + 8*j + 2. Determine t(r). 9 Suppose -2*w - 4*z - 8 = 2*w, 35 = 5*w - 4*z. Let y(t) = -4*t - 40 + 41 + w*t. What is y(-3)? 4 Let i = 108 - 81. Let w(y) = 51*y**3 - 25*y**3 - 3*y**2 - i*y**3 + 5*y + 1. Let j(o) = o**3 + 11*o**2 + 11*o + 6. Let q be j(-10). Give w(q). -3 Let t = -846 - -849. Let x(j) be the third derivative of 0*j - 1/3*j**4 + 0 - 5/6*j**t - 1/60*j**5 - 30*j**2. What is x(-6)? 7 Let j = -65 + 81. Suppose 10 = -j*s + 21*s. Let u(w) = -w - 11 + 3*w + s - 4*w. Calculate u(-6). 3 Let h(w) = -w + 5. Let x be h(8). Let j(k) = -21*k**3 + 3*k**2 + 37*k + 2. Let c(m) = -2*m**3 + 3*m. Let z(g) = 11*c(g) - j(g). Give z(x). 10 Let g(d) = 63*d**2 - 12*d + 4. Let n(v) = 84*v**2 - 16*v + 5. Let p(q) = 11*g(q) - 8*n(q). What is p(2)? 80 Suppose 0 = 8*d - 4*d + 4*h, 15 = d - 4*h. Let i(y) = y**3 - 2*y**2 + 3*y + 5. What is i(d)? 23 Let b(d) = -d**3 - 10*d**2 - 14*d + 19. Let a be b(-8). Suppose a*v + 24 = 11*v. Let k(z) = -95*z**2 - z**v - 2*z + 2 + 2 + 101*z**2 + z. Give k(6). -2 Let a(k) = 2*k**2 - k + 15. Suppose 0 = 3*p - 5*w + 15, w = -3*p + 10 - 7. What is a(p)? 15 Let v = -17 + 19. Suppose v*o + 2*o + 22 = 2*d, 4*d - 5*o - 32 = 0. Let k(u) be the third derivative of -u**4/8 + 2*u**3/3 + 9*u**2. What is k(d)? -5 Let t(j) be the first derivative of -19*j**7/840 - j**6/360 + j**5/120 + j**4/24 + 2*j**3 - 2*j - 78. Let n(a) be the third derivative of t(a). Determine n(-1). 18 Let s(b) = b**3 - b**2 - 3*b - 4. Let a = -235 + 238. Suppose 0 = a*q - 9, i + 5*q - 9 = 3*i. What is s(i)? 5 Let h be 2/8 + (-6)/(-48)*54. Let m be ((h - -1)/2)/(172/86). Let d(x) = -7*x**2 + 2*x + 1. Give d(m). -23 Let r(b) = -b - 19. Suppose -5*c = -5*g - 95, -5*c + 9 = g - 32. Determine r(c). -29 Let y(m) = 65 + 16*m**2 + 4*m - 3279488*m**3 + 3279487*m**3 + 9*m. Give y(17). -3 Let j(v) be the first derivative of 14*v + 7/6*v**3 + 1/2*v**2 - 1/12*v**4 - 16. Let g(n) be the first derivative of j(n). Determine g(6). 7 Let f(z) = 9*z**3 + 5*z**2 - 2*z - 11. Suppose -11*g - 2*g + 39 = 0. Let n(d) = -4*d**3 - 3*d**2 + 5. Let l(s) = g*f(s) + 7*n(s). What is l(-5)? 7 Let l(j) = 29*j**2 + j + 1. Let u(i) = 144*i**2 - 8*i - 53. Let t(h) = 5*l(h) - u(h). What is t(-6)? 16 Let o = -4526 - -4533. Let m(v) = 5*v**2 - 5*v**2 - 7*v**2 + v**3 - 4 - 2*v. Determine m(o). -18 Suppose 0 = v + 2 - 8. Let m be (v/(-21))/((-2)/(-14) - 0). Let t(n) = 2*n**3 + 4*n**2 - 2 - 3*n - 2*n**2 - n**3. Determine t(m). 4 Suppose -5*s - 25 = 3*l, -3*s = -2*l + 128 - 113. Let o(j) = 12*j + 34 - 12 + 30. Let i be o(s). Let d(v) = -v**3 - 9*v**2 - 7*v + 1. Calculate d(i). -7 Let c(d) = -2*d**3 + 20*d**2 + 22*d - 2. Let l = -793 - -804. Give c(l). -2 Let n(c) be the first derivative of -17/3*c**3 + 173 + 1/4*c**4 - 9*c**2 - 3*c. What is n(18)? -3 Let p(r) = -10*r**2 - 25*r - 7. Let x(w) = -3*w**2 - 8*w - 2. Let z = 23 + -25. Let t(o) = z*p(o) + 7*x(o). Determine t(-5). 5 Let h(c) be the second derivative of 0 + 8*c**2 + 1/120*c**6 + 0*c**3 + 19*c + 7/60*c**5 - 1/24*c**4. Let y(l) be the first derivative of h(l). What is y(-7)? 7 Let x(i) = i**3 - 3*i**2 + 2*i. Let g(c) = -c + 32. Let f(o) = o**3 - 11*o**2 + 30*o - 18. Let z be f(8). Let w be g(z). Determine x(w). 0 Let r(i) be the third derivative of -11*i**4/12 - 29*i**3/2 - 5981*i**2. What is r(-4)? 1 Let f(v) = -4*v**2 + 2*v + 3. Let u = 220 - 118. Let m = -104 + u. Calculate f(m). -17 Suppose -20*d - 36*d + 268 = 11*d. Let m(g) be the second derivative of -g**4/12 + 2*g**3/3 + g**2/2 - g. What is m(d)? 1 Let b(m) = 7*m**2 - 68*m + 63. Let d(h) = 2*h**2 - 21*h + 21. Let t(u) = 3*b(u) - 10*d(u). Give t(-15). 114 Let y(h) = 19*h + 681. Let n(k) = 5*k + 182. Let g(v) = -15*n(v) + 4*y(v). Give g(7). 1 Suppose -422*c + 299*c = 369. Let x(a) = a**3 - 2*a + 4. What is x(c)? -17 Let z be 2/(-2 - (-39)/9)*7. Let n be 12/z*-2*(-1)/(-1). Let l(m) = -m**2 - 2*m - 3. Calculate l(n). -11 Suppose 0 = 331*n + 1625 + 692. Let c(d) = -2*d**2 - 5*d + 24. Give c(n). -39 Let a(s) be the second derivative of -s**4/12 + s**3/6 + 3*s**2 + 38*s. Let p(c) = 5*c**2 - 134*c - 21. Let g be p(27). Calculate a(g). -24 Let l(r) be the third derivative of -9*r**6/40 - r**5/30 + r**4/8 - r**3/6 - 447*r**2. Determine l(1). -27 Let p(k) be the first derivative of -1/24*k**4 - 1/20*k**5 + 0*k**2 + 0*k - 46 - 13*k**3. Let x(d) be the third derivative of p(d). What is x(-1)? 5 Let v(y) = -72*y - 30. Let h(a) = -7*a - 3. Let k(l) = -21*h(l) + 2*v(l). Suppose 2*i + 3*i = 25. Calculate k(i). 18 Let q(v) = 2*v**2 - 7*v - 4. Let p be (-22)/((-330)/135) + -3. Determine q(p). 26 Let o = -2 - 3. Let f(t) = t. Let g(p) = p**3 + 4*p**2 - 2*p + 1. Suppose -63 + 27 = 12*q. Let j(s) = q*f(s) + g(s). Give j(o). 1 Suppose 6 = 2*c, -c - 17 = -2*x + 8. Suppose 0 - x = -2*u. Let r(v) = 2*v - 11. Let l be r(u). Let g(n) = n**3 - 5*n**2 + 3*n - 1. Determine g(l). -10 Suppose -67*b + 60*b - 70 = 0. Let c(x) = -12*x - 123. What is c(b)? -3 Let w(h) be the second derivative of h**3/3 - h**2 - h. Suppose t - 3*p - 6 = -2, -4*t - 3*p = -46. Suppose 2*y - 2*f - 6 = -3*f, -5*f = t. What is w(y)? 6 Let s(z) = -z**2 + 5. Let f be (1 - 1) + 27/(-9). Let v(b) be the first derivative of b**3/3 + 3*b**2 + 4*b + 74. Let i be v(f). What is s(i)? -20 Let t(d) = -10*d + 3. Let a = 4431 + -4428. Calculate t(a). -27 Let s(u) = u - 19. Suppose -47*d - 229*d + 1932 = 0. Determine s(d). -12 Let s(n) be the first derivative of n**3/3 - 3*n**2 - 3*n + 24. Suppose j = h - 12, 3*h - 12 = 4*h + 5*j. Give s(h). 13 Let d(c) = -12*c**3 - 3*c**2 + 9*c + 5. Let p be d(-2). Suppose 21 = -23*n - p. Let z(a) = a**2 + 4*a - 2. Determine z(n). -2 Let r(l) be the second derivative of l**3/6 + 3*l**2/2 - l. Let f(u) = -32*u + 1384. Let h be f(43). What is r(h)? 11 Let y(q) = q**3 - 10*q**2 + 20*q + 40. Let l be y(6). Suppose 4*u - 9 = 3. Let r(b) = 3*b**3 - 19 + l - 5*b + u*b**2 - 2*b**3. Calculate r(-3). 12 Let p(y) = 6 + 13 - 2*y + 8 + 9 - 41. Let m = -150 - -145. Give p(m). 5 Let b(r) = -2*r**2 - 6*r - 13. Let a be (4/(-16))/((-1)/4)*-2. Let l be b(a). Let c(x) = -x**2 - 10*x + 5. Give c(l). 14 Let m(k) = 2*k**2 - 10*k + 104. Let t be m(12). Let x = t - 287. Let f(w) = -w**3 - 14*w**2 + 16*w + 8. Give f(x). -7 Let c(r) = -r**2 + 4*r - 4. Let q be c(4). Let t = 9 + q. Let o(n) be the second derivative of -n**4/12 + 5*n**3/6 + 5*n**2/2 - 3*n - 150. Give o(t). 5 Let h = -615 - -975. Let u be (h/150)/(8/10). Let i(p) = p**3 - 4*p**2 + 5*p - 5. Calculate i(u). 1 Let p(a) = -32*a - a**2 + 2*a**2 + 40*a + 3. Let n = 126 - 124. Suppose -11*o - 78 = n*o. Give p(o). -9 Let f(r) = -31*r**3 - r**2 + 4*r + 3. Suppose -6*u = -6*u - 6*u - 6. Calculate f(u). 29 Let z(j) = -10*j - 32. Let n(m) = m**2 + 12*m. Let f(q) = n(q) + z(q). Calculate f(0). -32 Let x(b) be the first derivative of -3*b**2/2 - 8*b - 3193. What is x(-15)? 37 Suppose 0 = 549*a - 548*a - 4. Let s(c) = -1 - 20*c + a + 41*c - 17*c + 5*c**2. Determine s(-2). 15 Let c(w) = -11*w - 1. Let i(d) = 3*d - 2. Let h(n) = -c(n) - 2*i(n). Determine h(2). 15 Suppose 3 - 9 = -2*h. Let r(p) be the first derivative of 4*p + 4 + 2 + 0 - h + p**2. Calculate r(-4). -4 Suppose 4732 = 5*j + 4642. Let h(m) = m**2 - 28*m + 187. What is h(j)? 7 Let b(v) = 5*v + v**2 - v - 69 + 30 - 8*v. What is b(-5)? 6 Let w(f) = 3 - 7*f**2 + 7*f - 2 - 5 + 2 + f**3. Suppose 5*o - 34 = -4*k - 8, -k = 2*o - 11. Calculate w(o). 4 Let g(u) = 227 - 4*u**3 - 230 - 19*u**2 + 3*u**3 + 3*u - 6*u + 36*u**2 - 13*u**2. Suppose 4*s = s + 9. Determine g(s). -3 Let z(i) = -8 + 9 + 13*i - 18 - i**2 + 8. What is z(18)? -99 Let a(s) = -s**3 + 5*s**2 - 3*s + 2. Suppose -50*j - j - 95*j = -730. What is a(j)? -13 Let a(q) = -3*q + 4. Let n(m) = -8*m + 11. Let x(t) = 11*a(t) - 4*n(t). Let i(b) = b + 1. Suppose -9*g + 6 = -3*g. Let v(w) = g*i(w) + 3*x(w). Calculate v(6). -11 Let i = -8267 - -8281. Let n(h) = -5*h + 99. Give n(i). 29 Let w(u) = -u + 3. Let q(o) = -o. Let h(c) = -20*c - 127. Let p(j) = h(j) + 2*q(j). Let t be p(-6). Calculate w(t). -2 Let m(i) = -13*i**2 + 217*i - 736. Let h be m(12). Let d(o) = 0*o + 3*o + 0*o + 6 - o**2. Give d(h). -22 Let p(y) =
{ "pile_set_name": "DM Mathematics" }
hat is the highest common divisor of g and w? 9 Let t(k) = 2*k**2 - 29*k - 90. Let y be t(18). Calculate the highest common divisor of 44 and y. 4 Suppose 4*s + 236 = 5*i - 189, i + 4*s - 85 = 0. Calculate the highest common factor of 119 and i. 17 Let s(l) = -3*l**3 - 2*l**2 - l. Suppose -14 = 6*z - 2. Let v be s(z). What is the greatest common divisor of 27 and v? 9 Suppose 15*z = 28*z - 3120. What is the greatest common divisor of z and 72? 24 Let d = 110 + -86. What is the highest common divisor of 216 and d? 24 Let w = 286 - 284. What is the greatest common factor of w and 3? 1 Suppose 0 = -13*b - 17*b + 5280. What is the highest common factor of b and 32? 16 Let f = -45 - -49. Suppose y + 27 = o + f, 0 = -5*o - 2*y + 136. What is the highest common factor of o and 13? 13 Let l = 3058 - 2134. What is the greatest common divisor of l and 33? 33 Suppose m = 2*h + 2*m - 122, -3*h = -3*m - 192. Calculate the greatest common divisor of h and 248. 62 Let w = 8 + -6. Suppose j + 2 = 0, 4*q - 22 = w*j + 3*j. Suppose -5*i + 45 = 5*u - i, -5*u = 2*i - 45. What is the highest common divisor of q and u? 3 Let t be (18/63)/(1/7). Suppose -5*g - h = -0 + 5, h + 5 = 5*g. Let f be -3 - -5 - g/(-1). What is the greatest common divisor of f and t? 2 Let f(r) = 4*r**2 + 88*r - 87. Let b be f(-23). Let q(v) = -v + 5. Let y be q(0). What is the highest common factor of b and y? 5 Let w = -2014 + 2824. Calculate the highest common factor of w and 108. 54 Let v be 1 - (-69)/(-6)*4. Let z be 2/9 + 730/v. Let n be (-1)/(((-20)/z)/(-5)). What is the highest common factor of 32 and n? 4 Let g = -12489 + 12498. Let z be (4*1)/(2/36). Calculate the highest common divisor of g and z. 9 Let y = -6 + 42. Let z(j) = 2*j - 32. Let o be z(17). Suppose -3*h - 2*h + 286 = -4*t, 4*t = o*h - 124. What is the greatest common divisor of y and h? 18 Let w(v) = 1 + 2 + 5*v - 1. Let r be w(6). Let x be (-42 + -6)*(8/(-6) + 1). What is the greatest common factor of r and x? 16 Suppose -h - 4*t = -64, -4*t - 81 = -3*h + 95. Calculate the highest common factor of h and 36. 12 Suppose -17*v + 636 = -146. Calculate the greatest common divisor of 1518 and v. 46 Let w(m) = m**3 + 24*m**2 - 41*m - 35. Let d be w(-25). Calculate the greatest common divisor of d and 73. 73 Suppose -p - 19 = -5*h + 3*p, -p = -2*h + 7. Let v be (383 - -5)*((-15)/(-12))/5. Let d = v + -73. What is the greatest common factor of h and d? 3 Suppose 0 = -4*y - 10 + 18. Let f be y/2 + (-60)/(-2). Calculate the greatest common divisor of 217 and f. 31 Suppose -5*w + 20 = 3*f, -4*f + 3*w + 0*w = -17. Suppose 237 = f*a - 528. Let z = -18 + 35. Calculate the highest common divisor of a and z. 17 Let l = -9 + 1. Let y = l + 23. What is the greatest common divisor of y and 135? 15 Suppose 563 + 225 = 2*r. Suppose -5*t + 2*a = -t - 314, -r = -5*t + 3*a. Calculate the greatest common factor of 7 and t. 7 Suppose -u = 5, 4*r - 561 + 23 = 2*u. Calculate the greatest common divisor of r and 24. 12 Let d = 780 - 676. What is the greatest common divisor of 325 and d? 13 Let q(i) = 3*i**2 - 23*i + 2. Let r be q(7). Let f = r - -80. What is the greatest common factor of f and 51? 17 Let i(h) = -h**2 - 23*h - 54. Let o be i(-15). What is the highest common factor of o and 110? 22 Let q(v) = v**2 - v + 5. Let j be q(4). Calculate the highest common factor of j and 34. 17 Suppose 0 = 5*n + q - 24, -3*n + q = -11 + 3. Suppose 5*c - 3*o = 639, o - n*o = -2*c + 261. Calculate the greatest common divisor of c and 14. 14 Suppose 23 = z + 65. Let m be 28/z + (-11)/(-3). Let j be (-32)/(-18) + 2/9. Calculate the greatest common divisor of m and j. 1 Suppose 10 = n + 5. Suppose 0 = -3*c + 5 + 1. Suppose -141 = -4*m + o, 5*o - c*o = -3. Calculate the highest common factor of n and m. 5 Let o(z) = -z**3 - 20*z**2 + 22*z + 23. Let p be o(-21). Suppose 40 = -p*b + 240. Let g be (10/6)/(4/24). What is the greatest common factor of g and b? 10 Suppose 0 = p + 2, 2*h = -2*p + 4 + 2. Suppose -h*c - 2 = 2*f - 5, 2*f + 7 = 5*c. Let d be c*2 + (10 - -42). Calculate the greatest common factor of 18 and d. 18 Let b = -2408 - -2438. Calculate the highest common divisor of 1310 and b. 10 Let z be 436/(-40) + (-1)/10. Let x(k) = -4*k + 4. Let a be x(z). Calculate the highest common factor of 16 and a. 16 Let a = -1429 + 1690. Calculate the highest common divisor of 116 and a. 29 Suppose 5*b - 5*d = 60, 0 = -4*b - 2*d + 35 + 1. Let v = b - 9. Suppose -2*p - 4 = -2*x, x + 12 = 2*x + 4*p. What is the greatest common factor of v and x? 1 Let o = -47 + 49. Suppose -3*t - y + 4 = 3*y, -2 = o*t + 5*y. What is the greatest common factor of 4 and t? 4 Let w be (-1 - (-3)/2)*-14. Let q(t) = -t - 11. Let r be q(w). Let i be 1 + r + 2 - -56. Calculate the highest common divisor of 5 and i. 5 Let g(m) = -m + 1. Let a(i) = i**2 - 7*i + 7. Let o(d) = -a(d) - 5*g(d). Let f be o(8). What is the greatest common divisor of f and 4? 4 Let w = 54 + -51. Suppose 6*b - w*b - 54 = 0. Calculate the greatest common divisor of 162 and b. 18 Suppose 1620 = -2*q + 7*q. Suppose 85*v - 65*v = 240. What is the greatest common divisor of q and v? 12 Let k be (4 + -4)/((3 - 1)*-1). Suppose -z + 2*p = -p, k = z + 4*p - 14. Calculate the highest common factor of z and 8. 2 Let h = 1566 - 1549. Calculate the greatest common factor of 612 and h. 17 Let n(w) = -17*w + 3. Let r(f) = 6*f - 1. Let q(u) = 4*n(u) + 14*r(u). Let v be q(1). Suppose -v = 2*b - 74. What is the greatest common divisor of 12 and b? 6 Suppose 2*o + m - 214 = 188, -4*m = 4*o - 808. What is the highest common factor of o and 16? 8 Let k be ((-4)/(-8))/((-1)/(-18)). Let z(m) = -m**2 + 12*m**2 + 3*m**2 + 0*m**2 - 3*m + 1. Let f be z(-2). Calculate the greatest common divisor of f and k. 9 Let y = 315 - 312. What is the greatest common factor of y and 129? 3 Suppose 0 = -29*y + 333 + 44. Calculate the highest common factor of 572 and y. 13 Let b be 41 + 13 - (-1 + 5). Let q be -20*5/(-8)*2. Calculate the greatest common factor of q and b. 25 Let i be (12/8)/(34/476). Suppose -4*j = -3*x + 709, 0*j = 3*j + 12. What is the highest common factor of x and i? 21 Let i = -2758 + 2773. What is the highest common divisor of 186 and i? 3 Let p(x) = -x**3 + 6*x**2 - 4*x + 3. Let n be p(2). Suppose 0 = -14*t + n*t + 36. What is the highest common divisor of 48 and t? 12 Suppose -3*x - p + 17 = -5*p, 2*p - 11 = -5*x. Suppose x*w - 31 = a, w - 5*a = -w + 25. Calculate the greatest common factor of w and 15. 5 Let q be (322 - (1 - -6))*1. What is the highest common divisor of q and 525? 105 Let r = -2 - -2. Suppose 0 = -5*s + x + 20, 0 = -4*s - r*s + 2*x + 10. Let u be -3 + 5 - (2 - 2). Calculate the highest common divisor of u and s. 1 Let q(i) = 2*i**2 - 7*i + 18. Suppose -4 - 4 = -y. Let w be q(y). Calculate the greatest common divisor of 10 and w. 10 Let u(r) = -3*r**2 + 3*r + 6. Let v be u(-4). Let j = -48 - v. What is the greatest common divisor of 24 and j? 6 Let n = -227 + 490. Suppose 0 = z + 3*z - 5*m - 515, 2*z - n = -3*m. Calculate the highest common factor of z and 26. 26 Let z = 11 - -4. Calculate the greatest common divisor of 1605 and z. 15 Suppose -5*m + 3*g = 2 - 18, -3*m = g - 4. Calculate the highest common factor of m and 5. 1 Suppose -5*g - 6 = -2*r + 5, 5 = r - 3*g. Suppose 0 = 4*d - 2*d + 148. Let b = d - -98. Calculate the highest common factor of b and r. 8 Let m(w) = -w**3 - 5 - 15 + 26*w**2 + 25*w**2 - 42*w**2 - 2*w. Let a be m(8). Calculate the highest common divisor of a and 112. 28 Suppose 3*x - x - 47 = 5*v, 5*x + 5*v = 135. Let j = -12 - -14. Suppose j*y = -2*b + 362, -4*y + y = -5*b + 913. What is the highest common factor of x and b? 26 Suppose 45*t - 42*t - 42 = 0. Calculate the greatest common divisor of 1162 and t. 14 Let k be (-6 + 7)*((-14)/2 + 691). Calculate the highest common factor of 144 and k. 36 Let i(a) be the third derivative of -a**6/120 - 7*a**5/60 - 5*a**4/12 + a**3 + 5*a**2. Let x be i(-5). What is the greatest common divisor of 4 and x? 2 Suppose 29*h - 34*h = -20. Suppose l - 148 = -h*m, 5*l = -m - 288 + 1028. What is the greatest common factor of l and 37? 37 Suppose -t = t - 10. Let x be (-4)/(-6)*1/((-10)/(-135)). Suppose -3*d = x, -4*n - 4*d = -n - 93. What is the highest common
{ "pile_set_name": "DM Mathematics" }
is the second derivative of -2697436*z**2 - 3922876*z? -5394872 Differentiate 1739*g**2*w + 5*g**2 - 6058*g + 9*w - 1 with respect to w. 1739*g**2 + 9 What is the third derivative of -259526*n**5 + 82*n**2 + 671? -15571560*n**2 What is the third derivative of -181*x**5 + 100*x**4 + 665006*x**2? -10860*x**2 + 2400*x What is the third derivative of -8734*b**3*y**4 + 656*b**3 - 2*b**2*y**2 - 85*b*y - 14*y**6 wrt y? -209616*b**3*y - 1680*y**3 What is the second derivative of -4*h**3*r**2 - 1954*h**3*r + 4*h*r**2 + 17*h*r + 6*r**2 - r wrt h? -24*h*r**2 - 11724*h*r What is the first derivative of 614*n**2*v**3 - 6*n**2*v - 31*v**3 - 13*v**2 - v - 7 wrt n? 1228*n*v**3 - 12*n*v Find the third derivative of 2*c**4*q + 152*c**4 + 131*c**3*q - 2*c**3 + 4029*c**2*q - c**2 wrt c. 48*c*q + 3648*c + 786*q - 12 What is the third derivative of -3993731*b**5 + 4170322*b**2? -239623860*b**2 Find the third derivative of 20*b**3*r**3 - 4756*b**3*r + 2*b**3 - 2*b**2 - 4084*b*r**3 - b + r**3 + 2*r wrt b. 120*r**3 - 28536*r + 12 Differentiate -144*j**3*o - 613*j**3 + 2*j*o - 771*o + 22 wrt o. -144*j**3 + 2*j - 771 What is the first derivative of 49*p**4 + 206*p**2 + 18608 wrt p? 196*p**3 + 412*p Find the third derivative of -g**5*i*s + 22283*g**3*i*s + 38*g**2*i*s - 29*g**2 - i*s wrt g. -60*g**2*i*s + 133698*i*s Find the second derivative of 231141*o**4 - 156745*o wrt o. 2773692*o**2 Find the third derivative of -74*b**6 + 737*b**3*h**2 - 27*b**2 - 305*b*h**2 wrt b. -8880*b**3 + 4422*h**2 What is the second derivative of k**3 + 12330*k**2 - 39924*k wrt k? 6*k + 24660 What is the third derivative of 4*j**3*r**3*z + j**3*r**2*z + 12*j**3*r*z**3 + 52757*j**3*z**2 - 350054*j**2*r**3*z**3 wrt r? 24*j**3*z - 2100324*j**2*z**3 What is the first derivative of -2*o*s**2 + 9*o*s - 518*o + 567*s**2 - 32 wrt s? -4*o*s + 9*o + 1134*s Find the first derivative of -430395*f**2 + 837781 wrt f. -860790*f What is the second derivative of -2*q**2*x**2 + q**2*x - 141279*q**2 + 1641*q*x**2 - q*x wrt q? -4*x**2 + 2*x - 282558 What is the derivative of -11*i**2*n*y - 2*i**2*n - i**2*y - 9*i*n*y + 4065*i*n - 2*n wrt y? -11*i**2*n - i**2 - 9*i*n Find the third derivative of 5406*f**4*k**2 - 4*f**3*k**2 + 586081*f**2*k**2 wrt f. 129744*f*k**2 - 24*k**2 What is the second derivative of -o**3 - 1793*o**2 + 21797*o wrt o? -6*o - 3586 Differentiate -17408*r**3*v - 2*r**3 + 9*r - 165 with respect to v. -17408*r**3 Find the first derivative of -2169646*h**2 + 929660 wrt h. -4339292*h What is the second derivative of -120205*a**4 - 116575*a? -1442460*a**2 Find the third derivative of -47431*p**5 - 5*p**4 - p**3 + 14*p**2 + 3*p - 15244 wrt p. -2845860*p**2 - 120*p - 6 Find the second derivative of 3*g**5*v**3 + 45939*g**5 + 2*g*v**2 + 153*g*v + 3*v**3 + 2*v**2 - 2 wrt g. 60*g**3*v**3 + 918780*g**3 Find the third derivative of -3*k**5 + 268825*k**3 - 14*k**2 - 949*k wrt k. -180*k**2 + 1612950 Differentiate c**2*p**3*q - 291*c**2 - c*p**3*q - p**3*q + 644*q - 7 wrt c. 2*c*p**3*q - 582*c - p**3*q What is the derivative of 97374*y**2 - 7*y - 2152295 wrt y? 194748*y - 7 Find the second derivative of -488457*q**3*r**2 + q**3*r + 3*q**2 + 2*q - 18651*r - 1 wrt r. -976914*q**3 What is the second derivative of -76633*a**3*z**4 - a**3*z**2 + 95204*a**3*z - 2*a*z wrt z? -919596*a**3*z**2 - 2*a**3 What is the third derivative of 8*c**3*m*t*y + 380*c**3*m*t + 2*c**3 - 7*c**2*m*t - 20*c*m*t - c*m*y - c*t*y + 14*m*y wrt c? 48*m*t*y + 2280*m*t + 12 Find the third derivative of -2*b**5*c - b**5 + 435*b**3*c + b**2*c + 471*b**2 - 36*b*c + 2*c - 10 wrt b. -120*b**2*c - 60*b**2 + 2610*c Find the second derivative of -788870*a**2 - 220401*a. -1577740 What is the third derivative of -2848*s**5 - 2*s**4 - 202*s**2 - 60*s wrt s? -170880*s**2 - 48*s Differentiate -27*p*x**3 + 2*p*x**2 - 247*p*x + 100894*p - 3*x wrt x. -81*p*x**2 + 4*p*x - 247*p - 3 Find the first derivative of 334198*u**2 + 239768 wrt u. 668396*u What is the derivative of 9*i**2*k**2 - 43*i**2*s + 583*k**3*s**3 - 1953*k**3 wrt s? -43*i**2 + 1749*k**3*s**2 Find the second derivative of -3*f**5 - 4492*f**4 + 22*f - 350. -60*f**3 - 53904*f**2 What is the second derivative of 1066*l**2*n**2 - 174*l**2 - 7018*l*n**2 + 3*n**2 wrt l? 2132*n**2 - 348 Differentiate 13147*d*n**2*y - 3*d*y**3 - d*y**2 + 3*n**2*y**3 + 3*n**2 - 2*y**2 - 1321 with respect to n. 26294*d*n*y + 6*n*y**3 + 6*n What is the second derivative of 27*f**3*j*t - 137*f**3*t**2 - 199*f**3*t - 2115*f**2*j*t**2 + 9*f**2 - 2*f*j*t - j*t wrt t? -274*f**3 - 4230*f**2*j Find the third derivative of 2*d*k**4 + 306853*d*k**2 - 769259*k**5 wrt k. 48*d*k - 46155540*k**2 Find the third derivative of 325*b**3*y**6 - 15*b**3*y**2 - 48*b*y**6 - 2*b*y + 4*y**2 - 449*y wrt y. 39000*b**3*y**3 - 5760*b*y**3 Find the second derivative of 225*v**5 + 4*v**3 + 14*v**2 - 4191933*v wrt v. 4500*v**3 + 24*v + 28 Differentiate -3*n**4 - n**3 - 1005*n**2 + 167701. -12*n**3 - 3*n**2 - 2010*n Find the third derivative of 61548*r**3 - 56*r**2 + 175*r wrt r. 369288 Differentiate -160356*v - 67177 with respect to v. -160356 Find the first derivative of -b*l**2*y**3 - 36323*b*y**3 + 2*l**2*y**3 - 38979*l**2 wrt b. -l**2*y**3 - 36323*y**3 What is the first derivative of 61339*l**3 - 8*l**2 - 1665160? 184017*l**2 - 16*l What is the first derivative of -25*f*m**2 - 4*f*m + 4*f + 24*m**3 - 10*m**2 + 7 wrt m? -50*f*m - 4*f + 72*m**2 - 20*m Find the second derivative of 86510*m**3*n**3 - 2*m**3 + 4421*m**2*n + m*n wrt n. 519060*m**3*n What is the first derivative of 695765*z + 525326 wrt z? 695765 What is the first derivative of b*t**2*x + 21*b*t*u**3 - 263*b*x + 34*t**2*u**3*x + 99*t*u**3 + 2*u**3*x wrt b? t**2*x + 21*t*u**3 - 263*x Differentiate 13*j**2*k - 43*j**2 - 9*j*k + j + 11731*k wrt j. 26*j*k - 86*j - 9*k + 1 What is the second derivative of -922*a**2*c**3 + a**2*c + 11*a**2 - 5*a - 25*c**5 + 1520 wrt c? -5532*a**2*c - 500*c**3 Find the second derivative of -769*q**4 - 6*q**3 - q**2 - 1586*q - 15. -9228*q**2 - 36*q - 2 Find the first derivative of -17*k**2 - 4056*k - 361874 wrt k. -34*k - 4056 Differentiate 3426*o**2 + 33*o + 899016 with respect to o. 6852*o + 33 What is the second derivative of -39676*p**3 - 139*p + 11 wrt p? -238056*p Differentiate -3*a**2 - 1796*a*d - 19677*d + 1 with respect to a. -6*a - 1796*d Find the third derivative of -53054*x**3 + 19986*x**2 wrt x. -318324 Differentiate 3*d*n**3 - 5661*d*n**2 - 21*n**3 + 2075*n wrt d. 3*n**3 - 5661*n**2 What is the derivative of -2*j**4 - 2*j**3 + 178*j**2 + 2*j - 1058235? -8*j**3 - 6*j**2 + 356*j + 2 Find the second derivative of -414*i*o**3*z**2 + 3*i*o**3*z + 320*i*o**2*z + 63*i*o**2 + 104*i*o*z**2 wrt z. -828*i*o**3 + 208*i*o Find the third derivative of -339249*m**4 + 2*m**2 + m - 132842. -8141976*m Find the third derivative of 974030*c**4*l - c**3*l**3 + 2*c**2 + 3*c*l - 38*c + l**3 - 2 wrt c. 23376720*c*l - 6*l**3 Find the third derivative of 4*r**6 + 7*r**4 - 17679*r**3 - 2056*r**2 + 32*r. 480*r**3 + 168*r - 106074 What is the second derivative of -5081*f*n*s**2 + f*n*s + 250*f*n - 3*f*s**2 - 6*n*s - 16*s wrt s? -10162*f*n - 6*f What is the first derivative of -293992*d - 1236764? -293992 Find the third derivative of -30164*d**6 - 2*d**4 + 17*d**2 + 6*d + 141 wrt d. -3619680*d**3 - 48*d Find the first derivative of -328736*n**3 + 138961 wrt n. -986208*n**2 Differentiate -11360*r + 57052. -11360 What is the derivative of -66220*x**3 + 29705 wrt x? -198660*x**2 What is the derivative of -244392*s**4 + 225740 wrt s? -977568*s**3 Find the first derivative of -18*k**2 - 1361*k + 91239. -36*k - 1361 Find the third derivative of 58*a**2*l**3 - 129*a**2*l**2 + 14756*a*l**3 - a*l + a + l**3 - 2*l**2 + 79*l wrt l. 348*a**2 + 88536*a + 6 What is the first derivative of -28465*i*t**3*y**3 + 3*i*t**3 + 2*t**3 - t**2*y**3 - 399*t*y - 60*y wrt i? -28465*t**3*y**3 + 3*t**3 What is the second derivative of -457306*j**5 + 2*j**4 + 117*j + 444? -9146120*j**3 + 24*j**2 What is the second derivative of 9*g**4 + 1088*g**3 - 2*g**2 - 9616*g? 108*g**2 + 6528*g - 4 What is the derivative of 51672*v**2 + 2*v - 594703? 103344*v + 2 What is the third derivative of 25050*f**6 + 2*f**5 + 1335434*f**2 wrt f? 3006000*f**3 + 120*f**2 What is the third derivative of 327884*g**3 + 3*g**2 +
{ "pile_set_name": "DM Mathematics" }
e g - 5*g + 76 = 0. What is the units digit of g? 9 Suppose 378 = 3*b - 4*g, 0 = -b + 2*g + 187 - 59. What is the hundreds digit of b? 1 Let x be 30/4*6/9. Suppose 4*t + 4 = r + x*t, -5*r + 2*t + 6 = 0. What is the units digit of r? 2 Let b be 3 + (-3 - -2)/1. Let c be 2 - (b/(-2) + 6). Let a = -1 - c. What is the units digit of a? 2 Let w = 49 - 16. What is the tens digit of w? 3 Let v = 2 - -1. Let i be ((-1)/v)/((-5)/45). Suppose -i*f = -18 - 12. What is the units digit of f? 0 Suppose 4*d = 5*q - 11, -2*q = -5*d - 4 + 3. Suppose -q*v + 4*v - c - 9 = 0, 2*v - 3*c = 16. What is the tens digit of v? 1 What is the tens digit of 3/((-1)/6*-1)? 1 Suppose -22 = -4*z - s, s = 6*s - 10. Let c = -3 + z. Let u(w) = 3*w**2 - w + 2. What is the units digit of u(c)? 2 Let o(r) = r**2 + r - 3. Let l be o(-3). Suppose 22 = 5*x - l*x. What is the tens digit of x? 1 Let b(k) = -k**2 - k + 3. Let a be b(0). Suppose 3*v = a*l + 33, v + 3*l = -0*l + 7. Suppose 5*j - 10 - v = 0. What is the units digit of j? 4 Let t(m) = m**2 + 8*m + 6. What is the tens digit of t(5)? 7 Suppose 25 = -t + 2*c, -t = -c + 6*c + 11. Let n = -11 - t. What is the units digit of n? 0 Let m be (-4)/(-8) - 222/(-4). Suppose 0 = -v - v + m. What is the units digit of v? 8 Suppose 8*h + 235 = 13*h. What is the tens digit of h? 4 Let b(j) = -j**2 + 0*j**2 - j - j**3 - 2*j**2 - 3 + 0*j**2. What is the units digit of b(-4)? 7 Suppose -5*q + 380 = -0*q. What is the tens digit of q? 7 Let c(o) = o + 7. Let r be c(-7). Suppose 3*b - b - 130 = r. Suppose -3*t = 2*t - b. What is the tens digit of t? 1 Let v(u) = -u**3 + 15*u**2 + 26*u - 9. What is the units digit of v(16)? 1 Suppose 3*a + 9 = 5*b + 53, 2*b = a - 18. Let q be (-19)/(b/4 + 2). Let i = q - 20. What is the units digit of i? 8 Let x = -1 - -6. Suppose -3*c - 5*i - 20 = 0, 4*c - x*i - 6 = 14. Suppose c = 3*z - 9 - 6. What is the units digit of z? 5 What is the units digit of 21*6 - (-20)/10? 8 Suppose -4*c + 166 = -142. What is the tens digit of c? 7 Let b(o) = o**3 + 3*o**2 - 3. Let f be b(-3). Let n(j) = 2*j**2 - j - 4. What is the tens digit of n(f)? 1 Suppose 0*k - 5*i = 5*k - 30, k = 4*i - 14. Suppose k*y + 3*y = -3*p + 7, -4*p - 39 = -3*y. Let v(t) = t**3 + 5*t**2 - 8*t - 5. What is the units digit of v(p)? 7 What is the units digit of (-2)/(-3) + 4065/45? 1 Let t(q) = q**3 - q**2 + 2*q + 10. What is the tens digit of t(0)? 1 Let j(m) = -m + 2. Let v be 3/(-9) + 1/3. Let s be j(v). Let q = 3 - s. What is the units digit of q? 1 Let b(t) = -4*t + 7. Let x(p) = 13*p - 21. Let k(d) = 7*b(d) + 2*x(d). What is the units digit of k(-14)? 5 Let l = 6 - 5. What is the units digit of 20 - (6/3 - l)? 9 Let y = 13 + -7. Let u = 8 - y. What is the units digit of u? 2 Let w(s) = -2*s**3 + 3*s**2 + 2*s + s**2 - 1 - 2*s**2. Let n be w(-2). Let t = -7 + n. What is the units digit of t? 2 Let m(h) = -13*h - 2. Let p(k) be the first derivative of 208*k**2 + 65*k - 2. Let u(y) = -65*m(y) - 2*p(y). What is the units digit of u(1)? 3 Let s(b) = -3*b + 3. What is the units digit of s(-11)? 6 Let n = -8 + 13. Suppose -n*c = -33 + 13. What is the units digit of c? 4 Suppose 8 = f + f. Let j = -3 + f. Let w = 1 + j. What is the units digit of w? 2 Let s(p) = p**3 - 6*p**2 + 4. Let g be s(6). Let u = -2 + g. Suppose -2 = u*m - 20. What is the units digit of m? 9 Suppose 2*s = 53 + 33. What is the tens digit of s? 4 Let s(z) = z**2 - 12*z + 15. Let p be s(11). Let q be (0 + 0)/(-1 - 0). Let j = q + p. What is the units digit of j? 4 Suppose -5*n + 2 = -68. Let u = 28 - n. What is the tens digit of u? 1 Suppose -3*v - 7 = -1. Let y(h) = -h**3 + h - 2. Let u be y(v). Let g(a) = a**3 - 3*a**2 - 2*a + 1. What is the units digit of g(u)? 9 Suppose -5 = -3*c + 271. What is the units digit of c? 2 Suppose 62 - 23 = b. What is the tens digit of b? 3 Let a(v) = 4*v - 2. Let n be a(-2). Let u = 18 + n. What is the units digit of u? 8 Suppose -w = -0*w - 2. Suppose -2*k - 6 = -4*k. Let v = k - w. What is the units digit of v? 1 Let t be (-2)/1 + -1 - -6. What is the units digit of t + (0 - 0) + -2? 1 Suppose -5*u + 32 = 7. Suppose 5*w - 3*k = k + 105, -4*w = u*k - 43. What is the units digit of w? 7 Let k = -2 - -1. Let z = k - -1. Suppose z = -2*p + p + 5. What is the units digit of p? 5 What is the units digit of 7 - 4 - (-1 + -24)? 8 Let p(n) = 3*n**2 + n. Let s be p(1). Let l(q) = 2*q - 7. Let x be l(6). Let k = x + s. What is the units digit of k? 9 Let l(q) = -3*q + 19. Let h(v) = 5*v - 29. Let u(i) = -5*h(i) - 8*l(i). What is the units digit of u(-10)? 3 Let z(o) = o**3 - 4*o**2 + 4*o + 1. Let h be z(3). Let v(b) = b**2 - 2*b + 6. Let p be v(0). What is the units digit of 6*(p/h + 0)? 9 What is the units digit of (7 - 12/4) + -3? 1 Suppose 3*t - 2*t = -1. Suppose 12 = -6*s + 2*s. What is the units digit of 4 + (t*2 - s)? 5 Let p(w) = w + 13. Let g be 23/7 + (-4)/14. Suppose -3*k = 0, j + 28 = -g*j + 4*k. What is the units digit of p(j)? 6 Suppose 0*z = 2*z - 2, 23 = 4*w - z. Let m(k) = -k**2 - 7*k - 6. Let g be m(-5). Let q = w - g. What is the units digit of q? 2 Suppose -2*l + 2 = -2. Suppose 2*j + 2*h - l = -2*j, 3*j - h - 9 = 0. Suppose -k = -6*k - 3*q + 59, -k = -j*q - 4. What is the tens digit of k? 1 Suppose -2*g + 154 + 30 = 0. What is the units digit of g? 2 Suppose -4*m + 6 = -2*m. Suppose 9 = 4*b - 5*v, -27 = -2*b - m*v - 6. What is the units digit of b? 6 Let y be (-2 - 10/(-4))*-2. Let u be 4*(15/6 - y). What is the units digit of (u - 2)*(-2)/(-3)? 8 Let b = -7 + 11. Suppose 0*f - 12 = b*f. What is the units digit of f*(-1)/9*24? 8 Suppose 697 = 3*w + z, -4*w - 2*z + 575 = -353. What is the hundreds digit of w? 2 Let w = -14 - -13. What is the units digit of (26 + -1 - w) + -3? 3 Let v = -9 - -20. Let f = v - -8. What is the tens digit of f? 1 Suppose -4*b + 6 = -2*b. What is the units digit of 2 - 4/(-6)*b? 4 Let x(a) = -4*a - 4*a**2 - 2*a**2 - a**3 + 3*a + 2. Let b be x(-6). Let j(r) = r**2 - 6*r - 8. What is the units digit of j(b)? 8 Suppose -13 = 3*o + k, -o + 17 = -10*k + 5*k. Let f(t) be the first derivative of t**3/3 + t**2 + 4*t + 5. What is the units digit of f(o)? 7 Suppose -2*l = 4, -5*b - 8*l + 7*l + 1188 = 0. What is the units digit of b? 8 What is the units digit of (3 + 31)/(2/5)? 5 Suppose 0 = s - 4, -3*w + 4*w = -3*s + 26. What is the tens digit of w? 1 Suppose p - 12 = 3. Let v = p - 3. What is the tens digit of v? 1 Let u = 1 + 19. What is the tens digit of u? 2 Let r = -219 - -367. Suppose -98 - r = -6*g. What is the tens digit of g? 4 Let d = 159 - 101. What is the tens digit of d? 5 What is the tens digit of 136/8 + 4/(-2)? 1 Let a(x) = 3*x + 29. What is the units digit of a(23)? 8 Suppose -25 = -5*b - 10. Suppose 0*j = -4*j + 4*h + 28, h = b. What is the units digit of j? 0 Let v(d) = -d**2 - 13*d. Let c = 12 + -20. Let q be v(c). Suppose 0 = 2*m + 2*h - 6*h - 8, -4*h = 4*m - q. What is the units digit of m? 8 Let n(k) = k**2 + k - 1. Let c be n(-4). Suppose 0 = -2*w + 8, -w - c = -u - 2*u. Suppose 17 - u = 2*b. What is the units digit of b? 6 Suppose 3*g + 165 = a, 5*a + 3*g = 381 + 408. What is the hundreds digit of a? 1 Let s(u) = u**3 + 6*u**2 - 5*u + 4. What is the units digit of s(-4)? 6 Suppose 5*c - 21 - 9 = 0. What is the units digit of c? 6 Let q(c) = c**2 + 2*c - 2. Suppose -3*d + 1 = -4*y + 8, 2 = 2*d - y. What is the units digit of q(d)? 3 What is the units digit of (0 - (2 + 2))*(1 + -17)? 4 Let k be (-2 - 9/(-3))*5. Suppose 0 = -4*r - 4*o, -3*o - 3 = 5*r - k. What is the units digit of r? 1 Let g(f) = -f**2 + 8*f - 5. Suppose -14 + 6 = -c + 4*z, -z - 2 = -4*c. Suppose c*y + 20 = 4*y. What is the tens digit of g(y)? 1 What is the units digit of (411 - 5)/(3 - (-4)/(-2))? 6 Let y be 1/((-1)/(-1)) + -1. Suppose 3*o + 4*v - 2*v = 35, -4*o - v + 55 = y. What is the tens digit of o? 1 Suppose 0 = -c - 3*c + 16. Suppose 2*z - 5*z + 21 = 0. Let n = z - c. What is the units digit of n? 3 Let p(d) = d**3 - 4. Let s be p(0). What is the tens digit of (-10)/(2/s*2)? 1 Let m(c) = -64*c - 4. What is the tens digit of m(-2)? 2 Suppose 0 = n + n - 5*h - 13, 0 = -4*n + 3*h + 19. Let k(t) = t**2 + t + 3. Let b be k(n). Let j = b + -10. What is the tens digit of j? 1 Let r = -3 - -11. Let i be 3 + 0 - (5 + -1 + 0). What i
{ "pile_set_name": "DM Mathematics" }
Rearrange 262*n**2 + 460*n**2 - 75*n**2 to z + a*n + y*n**2 and give y. 647 Express 3*m - 11*m**3 + 61*m**3 - 14*m**3 + 1 - 12*m**2 - 1 as a + v*m**3 + l*m**2 + h*m and give v. 36 Rearrange (3*j + 3 - 1 - j)*(-1 + 2 - 3 + (-1 + 5 - 2)*(0 + 2 - 3)) + 48*j - 44*j + 141*j to the form f*j + m and give m. -8 Rearrange (-2 + 2*h - 4*h + 14*h)*(3 - 7 + 3) to the form s + z*h and give s. 2 Rearrange -93 - d - 3*d**2 + 74 + d**2 + 0*d**2 to s*d + w*d**2 + k and give w. -2 Express 3*o - 6*o + 2*o - o + 0*o + 2*o + (5 - 1 - 3)*(-2*o + 0*o + 0*o) + (-3 + 0 + 1)*(-39*o + 24*o - 67*o) as c*o + j and give c. 162 Rearrange (-2 + 5 - 31)*(-2 - 219*o + 5*o**2 + 219*o) to the form t*o**2 + g + f*o and give g. 56 Rearrange (-10*t**2 - 6*t + 6*t)*(-26 + 65 + 20)*(-2*t + 4 - 4) to n*t**2 + m*t + r + g*t**3 and give g. 1180 Rearrange -1012*u**4 + 4*u**3 - 6*u**3 + 1008*u**4 - 9*u**3 + u to the form c*u + t + h*u**2 + g*u**3 + n*u**4 and give c. 1 Express -214*r**2 + 53*r**3 + 45*r**3 + 214*r**2 + (-2*r**2 - 1 + 1)*(-5*r + 2*r + 0*r) as g*r**2 + n*r**3 + v*r + q and give n. 104 Rearrange (-k + 4*k - k)*(-25 - 9*k + 25)*(4 + 10 - 2) to w + a*k + x*k**2 and give x. -216 Express (-12*p**4 + 2*p**4 - 3*p**4)*(6 - 62 - 19 + 14) in the form v + i*p**4 + h*p**2 + x*p + d*p**3 and give x. 0 Express -3 + 2*y - 3 - 2*y**3 + 73*y**2 + 5 - 50*y**2 in the form z*y + w + k*y**3 + x*y**2 and give x. 23 Rearrange (-y**2 + y + 3*y - 6*y)*(-11 + 11 - 2*y) + y**3 - 1 - 2*y + 2*y to the form f*y**2 + v*y + z*y**3 + m and give m. -1 Rearrange 2*z - 6*z - 8*z**2 + 5*z + (11*z**2 + 4*z**2 - 4*z**2)*(4 + 2 - 5) to q*z + y*z**2 + u and give q. 1 Express (2*q**2 + 3*q**2 - 3*q**2)*(1010*q**2 - 2021*q**2 + 5*q - 351 + 1010*q**2) as c + o*q**4 + j*q**3 + x*q**2 + m*q and give o. -2 Express 50*p - 66*p + 74*p + 33*p as r + n*p and give r. 0 Rearrange (32*v**2 - 10*v**2 - 7*v**2)*(-4 - 5 - 3 - 5) to k + w*v + y*v**2 and give y. -255 Rearrange (-4 + 1 + 1)*(3*o + 2*o - 4*o) - 141*o - 271*o - 364*o + (-4*o + o + o)*(-4 + 1 + 1) to the form j*o + t and give j. -774 Express (28 - 9*p - 28)*(-5*p + 2*p - 2*p)*(19*p + 15*p - 2*p) as z*p**2 + i*p**3 + r + q*p and give q. 0 Express (3 - 1 - 4)*(-6277*b**3 - 2875*b**3 - 469*b**3 - 3357*b**3) in the form y + t*b + a*b**3 + f*b**2 and give f. 0 Express -9 + 0 + 6 + 1 + 15*w**3 as m + d*w + g*w**3 + x*w**2 and give g. 15 Express (-2 + 25 - 10)*(2 - 3 - 1)*(-2 - 3 + 8)*(4 + s - 4) + 1 + 4*s - 1 as u + t*s and give t. -74 Rearrange ((-7*c + c + 4*c)*(-c + 4 - 4) + (-3*c + 4*c - 5*c)*(26*c + 11*c - 22*c))*(-c + c + 2*c**2) to y*c**2 + t*c**3 + b*c + u + l*c**4 and give l. -116 Rearrange -5*l**3 + 16*l**3 + 9*l**3 + (-l + 0*l + 0*l)*(-553*l - 2 + 553*l + 10*l**2) to the form i*l + z + a*l**3 + t*l**2 and give i. 2 Express (88*g - 42*g + 31*g)*(2*g - 2 - g**2 + 2) in the form w*g**3 + r*g + n*g**2 + u and give w. -77 Rearrange (-1 + 0 - 1 - 1 - 1 + 3 + (0 - 4 + 5)*(-2 + 2 + 2) + 0 - 4 + 6 + (0 + 2 - 4)*(-5 + 1 - 1)*(1 + 2 - 1))*(3*y + 0*y - 2*y) to a*y + i and give a. 23 Rearrange 8*p + 25*p + 0*p**3 - 21*p - p**3 to o + b*p**3 + r*p**2 + a*p and give b. -1 Rearrange 10*a**4 + 8*a**2 - 8827*a**3 - 5*a**2 - a + 8828*a**3 to the form v*a**4 + t + f*a**2 + w*a + x*a**3 and give w. -1 Express (0 - 4 - 1)*(-5 - 9*j - 5 - 3*j) in the form i*j + q and give q. 50 Express -35*t + 486*t + 817*t - 151*t + 528*t in the form i*t + o and give i. 1645 Express -1 - 3*w**2 + 10*w**4 + 2*w**2 - 3*w**4 - 8*w**4 + 73*w + 0*w**2 in the form i + m*w**4 + j*w**3 + h*w**2 + v*w and give i. -1 Express (4*n**2 + 2*n**2 - 4*n**2)*(0 + 0 - 15)*(-25 + 34 + 40) in the form m*n + c*n**2 + s and give c. -1470 Rearrange (-a + 0 + 0)*(79 - 1 + 122) + a + 0*a - 3*a to the form n + i*a and give i. -202 Express -219*x**2 - 31*x - 221*x**2 + 664*x**2 - 222*x**2 + 2 in the form t + z*x**2 + h*x and give t. 2 Rearrange -6300 - 6308 - 12*w**3 + 12609 + 19*w to the form r + x*w + c*w**2 + q*w**3 and give q. -12 Express -3757*a**2 + 7514*a**2 + 2*a**3 - 3756*a**2 - 21*a in the form u*a**3 + c*a**2 + q + l*a and give l. -21 Express (1 + 20 - 3)*(4*w - 1 + w + 14) as c*w + s and give s. 234 Rearrange -2*u**3 - 167 + 2*u + 0*u**4 + 171 - 2*u**2 + 2*u**4 to the form w*u**2 + f + c*u**3 + m*u**4 + t*u and give m. 2 Rearrange (44*i + 595 - 595)*(-5 + 2 + 1)*(1 - 1 - 4*i) to j*i + o*i**2 + c and give o. 352 Express -2*z**2 - 7 - 175*z + z**3 + 7*z**3 - 3*z**4 + 175*z as c*z**2 + w*z**4 + u*z + b + t*z**3 and give t. 8 Express (233*l + 1731*l + 159*l)*(-3*l - 3 + 4*l - 3*l) as o*l + u + m*l**2 and give o. -6369 Express 67*w**2 - 159*w**2 - 119*w**2 in the form q + g*w**2 + i*w and give g. -211 Express (-40*d + 5*d - 9*d)*(0 - 15 + 1)*(0*d**3 - d**3 - d**3) as s*d + h*d**4 + g*d**3 + b + t*d**2 and give h. -1232 Rearrange 55 - 8*g**4 - 15*g**4 + 34*g**4 + g**3 - 24*g**4 + 15 to the form v*g + f*g**4 + m + h*g**2 + y*g**3 and give m. 70 Rearrange 15*n - 8 - 22*n + 3 - 2 + 3 to q*n + g and give q. -7 Rearrange 12*j**4 + 2 + 12*j**3 - 6*j - 16*j**3 + 6*j**3 - 2 to m*j**4 + p + k*j**3 + g*j + h*j**2 and give m. 12 Rearrange 0*k**2 + 3*k**2 + 0*k**4 + 142 + 0*k**2 + 2*k**3 - 140 - k - 2*k**4 to x*k**4 + c*k**2 + y*k + o*k**3 + z and give x. -2 Express (-f + f - 2*f)*(-18*f + 10*f + 11*f + (-3 + 0 + 2)*(-3 - 3*f + 3))*(-2 - 1 + 2) in the form i*f**2 + m + c*f and give i. 12 Express (-2*l**3 + 2*l**3 + 3*l**3)*(126 - 263 + 126)*(-4 - 4*l + 4) as y*l**3 + f*l**4 + r + u*l + n*l**2 and give r. 0 Rearrange (-2 + 13*p + 3*p + 27*p)*(p**2 + p**2 + p**2) to the form g*p**2 + u*p + l + j*p**3 and give u. 0 Rearrange -348*w**3 + 49*w**2 + 13*w - 25*w + 11*w - 49*w**2 to the form m*w**2 + j*w**3 + n + t*w and give t. -1 Express (h**2 - 5*h**2 + 5*h**2)*(-4*h**2 + 5*h**2 + 3*h**2) - 6378 + h**2 + h**3 - 3*h - h**4 + 6378 in the form r + o*h**4 + a*h**3 + l*h**2 + s*h and give l. 1 Express (24*l**3 + 4*l**3 - 15*l**3)*(-13*l - 1 + 1) as d + z*l**4 + m*l**2 + w*l + s*l**3 and give z. -169 Rearrange 2*o + 4*o - o + (-4 - 5 + 1)*(3*o - 3*o - o) to q*o + s and give s. 0 Rearrange (3*p**2 + 52*p - 93*p + 61*p)*(0*p + 0*p + p) to w*p**3 + c*p**2 + s + g*p and give w. 3 Rearrange ((1 + 4 - 3)*(2 - 2 - 3*r) + 4 - 4 - r - 61 + 25*r + 61)*(2*r - 2*r - r) - r**2 + 3*r**2 - 4*r**2 to s*r**2 + q*r + v and give s. -20 Rearrange 1 - 4*w + 1 + w - 26*w to the form d + p*w and give p. -29 Express 5*s - 2989*s**3 + 2989*s**3 + s**4 + 3 - 2*s**2 as a*s + d*s**3 + c*s**2 + b + h*s**4 and give a. 5 Rearrange -1 + 296*b - 2 - 351*b to g*b + z and give z. -3 Express (-51 + 22 - 27)*(6 - 1 - 3 - u)*(-2*u**3 + 0*u**3 - 2*u**3) in the form o*u**2 + b*u + a*u**4 + l + s*u**3 and give a. -224 Rearrange -258*d**2 - 14*d**3 + 258*d**2 + (0 + d**2 + 0)*(-4 - 2*d + 4) + (2 - 2*d**2 - 2)*(-4 + d + 4) to p + g*d**2 + m*d**3 + h*d and give m. -18 Express 0 + 0 - 3*r + 23*r - 11*r + r + 3*r + 0*r - 2*r + 4*r - r - 5*r + (-4 + 1 + 2)*(2*r - 2 + 2) as f*r + x and give f. 7 Rearrange (-8 + 4 - 5)*(-10 - 4 + 13 + 34*m**3) to the form n*m**3 + j*m + u + y*m**2 and give n. -306 Express 5*y**2 - 4*y**2 + 5*y**3 + 4*y**3 as x*y**2 + k + h*y**3 + s*y and give h. 9 Rearrange m**2 + 0*m**2 - 33900*m**4 + 33898*m**4 - 10*m**3 + 2*m - 3*m to w*m**2 + p*m**4 + l*m + u + d*m**3 and give d. -10 Express 8*n + 6 + 3 - 5 - 4 + 56*n**3 as c*n + o + z*n**2 + x*n**3 and give x. 56 Rearrange -4*c**2 - 8*c**2 - 10*c**2 + 28*c**2 + 9*c**3 + 1 - 5*c**2 to the form x*c**3 + w + m*c + a*c**2 and give x. 9 Express -2 + 26*y**4 + 46*y - 81*y**4 + 16*y**4 + 18*y**4 + 23*y**4 in the form c*y**4 + r*y**2 + j*y + w*y**3 + u and give c. 2 Rearrange -7*s**3 + 21 + 9*s**3 + 16*s - 2*s**4 + 9*s - 26*s + s**4 to the form o*s**3 + j + c*s + a*s**2 + i*s**4 and give j. 21 Express -28*x + 3*x**2 + 30*x - 15 - 2*x**2 + 2*x**4 - 6 as w*x**4 + y + t*x**2 + v*x + s*x**3 and give w. 2 Rearrange -2*s**2 + 0 + 0 + (2*s - 3*s - 2*s)*(20*s + 17*s - 51*s) to o*s**2 + c*s + d and give o. 40 Express 58*u + 281 - 281 as i + r*u and give r. 58 Rearrange -1 - 12*g + 16*g - 4 - 10*g to u*g + v and give u. -6 Express 3 - 5*d - d + 7*d as v + q*d and give v. 3 Express ((2*h - 5*h + h)*(-4 + 3 + 0) - 2*h + 0*h + h - 6*h + 12 - 12)*(10 + 10 - 1) + 2*h - 4*h + h as t*h + a and give t. -96 Express 5*l - 4*l - 3*l + (0 + 2 +
{ "pile_set_name": "DM Mathematics" }
ose -72*o + 19258883 + 65206744 = 69*o. Is o prime? False Let z(u) = 1124*u + 153. Is z(11) a prime number? True Let v(m) = 2453*m**2 + m - 1. Suppose 18*j + 8 = 26*j. Is v(j) a composite number? True Let c be -2*(-2)/((-9)/(-3) + -2). Suppose -c*u - s = -4059, 9*u - 5*s - 5080 = 4*u. Suppose -4*a = a - u. Is a a composite number? True Is 64/(-160) - (-8716722)/30 composite? False Let x(q) be the second derivative of 4*q**2 + 0 - 2*q - 2/3*q**3 + 3/4*q**4. Is x(-5) prime? False Let m be 946/110 + 3/(-5). Suppose m*w - 5*w = 3507. Is w a prime number? False Is 2302653/6*(-9 - -11) a prime number? True Is 43126899/317 + (-1)/1 + 9 composite? True Let b(n) = -61*n - 13. Suppose 0 = -17*i + 40 + 113. Let x be b(i). Let f = -191 - x. Is f a composite number? True Suppose -2*z - 94 = -5*t, -3*t = -5*z - 27 - 37. Suppose -23*o = -t*o - 26905. Is o composite? False Let c(f) = -5*f**3 + 4*f**2 + 11*f + 15. Let k(i) = 4*i**3 - 4*i**2 - 10*i - 15. Let j(r) = -6*c(r) - 7*k(r). Is j(4) a composite number? False Suppose 0 = 2*a + 3*u - 2*u - 324522, a - 162247 = 3*u. Is a prime? False Suppose y + 17 + 10 = 0. Let p be (-266901)/y - 3/(108/8). Suppose -9*s + p = -6*s. Is s composite? True Let w = 0 - -3. Let a(k) = 296*k**3 + 49*k**3 + 161*k**w - k**2. Is a(1) a prime number? False Is 10065 - (-21)/63*-6 a composite number? True Let p be 42 - (-4 + (5 - 4)). Let r(n) = 157*n**2 - 4*n + 7 - 25*n**2 + p*n**2. Is r(2) composite? True Let k(h) = h**3 + 9*h**2 + 8. Let z be k(-9). Suppose -2*v + z = 0, w + 4*v = 1 + 17. Suppose -u - 911 = -w*u. Is u a prime number? True Let f = 60 - 53. Is (2 - (-12)/(-8))/(f/10346) a prime number? True Let v(c) = -26*c**2 - 8*c + 39. Let u be v(7). Let h = 8112 + u. Is h composite? True Suppose d = -y + 148621, 135*y = 3*d + 139*y - 445865. Is d prime? False Suppose d + 1 = 0, 0*n - 4*d = -3*n + 1288. Let a = n + 767. Is a a composite number? True Let x(q) = 1880*q - 101. Is x(6) prime? False Let n = 160 + -155. Suppose 4*u + n*t - 5567 - 846 = 0, 0 = 3*t - 15. Is u a composite number? False Suppose 28*r = 17*r. Suppose r = -2*k + 2*j - 8434, 3*j + 0*j = -4*k - 16868. Let t = 6706 + k. Is t composite? True Let p(c) = 4*c**2 - 65*c - 105. Suppose 11*a + 124 - 432 = 0. Is p(a) composite? True Let d be (-2 + 347)/(1/1). Suppose 0 = 244*t - 209*t + 6510. Let y = d + t. Is y composite? True Let o(f) = 467*f + 1765. Is o(20) a prime number? False Let r(q) = 21*q - 20. Let y(m) = 5*m - 5. Let n(h) = -2*r(h) + 9*y(h). Let l be n(2). Let k = 47 - l. Is k a prime number? False Let a = 25 - 24. Let o be 28/(-7) - (-6 + a). Is (-34 - (4 - o))*-11 a prime number? False Let w(z) = 79*z - 45. Suppose 4*a = -4*o - 56, -5*a - 73 = 3*o + 1. Let g = a + 30. Is w(g) prime? True Suppose -5*n = 4*p - 82999, -7*n + 10*p - 7*p = -116233. Is n a composite number? False Suppose 66607 = -3*a + 4*x, 6*x - x = -3*a - 66652. Let c = a - -34442. Is c a prime number? False Suppose -14*h = -3 + 1809. Let d = 270 + h. Let x = d + 230. Is x a composite number? True Let b = 128 - 463. Let r = b + 968. Is r composite? True Is 43555 - (-16 + 11 + 1) prime? False Let k(c) = -3*c - 6. Let p(s) = -4*s - 6. Let h(x) = -5*k(x) + 4*p(x). Let d be h(6). Suppose d = 13*y - 3*y - 6410. Is y a prime number? True Suppose 12*j = 6*j - 22164. Let y be (1 - j/(-10))/((-18)/120). Is (0 - 1)*(4 + -7 - y) a composite number? False Let j = -119 + 114. Let f(y) = -141*y**3 + 2*y**2 + 9*y + 17. Is f(j) a composite number? True Suppose -q + c + 39939 = 3*q, 0 = -3*q + 5*c + 29967. Suppose -4*p = 4*x + q, 3*x - 2*p = 6*x + 7491. Let l = x - -6920. Is l a composite number? False Let x be 0/(2/(-6)*(-3 - -6)). Let u be 0 - (1 - x - 4). Suppose -5*k = 4*p - 670, -5*p + 0*p = -u*k + 402. Is k a prime number? False Let m(g) = -7962*g + 3059. Is m(-22) a prime number? True Suppose 5*o = 3*x - 32, 2*o + 4*x = -7 + 15. Let n be 676/(-78) + o/(-6). Is 2090/1 - (n - -3) composite? True Let v(q) = -634*q**3 - 33*q**2 - 33*q - 71. Is v(-9) composite? True Suppose 681071 = -10*o - 4*o + 31*o. Is o a prime number? True Suppose -15 = -3*j - 5*m + 15, 3*j - 21 = -2*m. Suppose 3*w - 6*v + 2*v = 10779, -17965 = -j*w + v. Is w a composite number? False Suppose -5*x + 187 = -2298. Suppose -310 = d + x. Let u = -362 - d. Is u prime? False Let t be 2 + 75/5 - 1. Suppose 3*o = -4*l + 19817, 0 = -11*o + t*o - l - 32990. Is o a composite number? False Suppose 32*c - 52776 = 24*c. Let m = 15836 - c. Is m a composite number? False Suppose -54 = 3*c - 78. Let u(h) = -2*h**2 + 15*h + 16. Let f be u(c). Is (f + -89 - (-2)/1)/(-1) a prime number? True Let r(k) = 17646*k**2 + 3*k - 3. Let m be r(-3). Suppose 5*p = -2*i - m, p - 4*i - 15412 = -47168. Is ((-2)/(-5))/((-16)/p) a composite number? True Suppose -32*o + 5072524 = -o - 3660982. Is o a composite number? True Let q(p) = 118*p**3 + 14*p**2 - 3*p + 6. Let g be q(7). Suppose g + 89560 = 5*v. Is v a prime number? True Let c be ((-6)/(-8))/(1/4) + -43. Let n = c - -34. Is (-4)/n*(4186/4 - 1) composite? True Let d = 28714 - -28309. Is d a composite number? True Let w(r) = 1217*r**2 + 8*r + 9. Let u be w(-1). Let p be 1/(-2) + 1563/6. Suppose 5*f = 2*g + 1279 + p, 4*f = -5*g + u. Is f prime? True Let i(l) = l**2 + 7*l + 5. Let y(m) = -2*m**2 - 13*m - 13. Let n be y(-6). Let w be i(n). Suppose -3663 - 382 = -w*t. Is t a composite number? False Let w(d) = d**2 + 3*d - 3. Let y be w(-3). Let b be ((-2)/2 - 1) + y + 5. Suppose -p - p + 238 = b. Is p composite? True Let w(i) be the first derivative of -i**4/4 - 13*i**3/3 - 18*i + 30. Let g be w(-13). Is g/27 + 2710/6 prime? False Let o = -33788 - -50195. Let t = o + -598. Is t prime? True Let l(t) be the second derivative of 5/2*t**2 + 19/12*t**4 + 3*t**3 - 1/20*t**5 + 0 - 10*t. Is l(19) composite? False Let a(j) = 14*j**2 - 4*j + 7. Let n be a(-4). Is 173238/38 - (-7 + 1703/n) a composite number? True Let k(o) = -2*o**3 + o**2 + 38*o - 106. Let t = 603 - 624. Is k(t) prime? True Suppose -5*b = 5*c - 128150, 2*b + 565 = 551. Is c prime? False Suppose 0 = -b + 4*b - 12. Suppose 7*h - 67044 = -b*l + 3*h, -50283 = -3*l + 2*h. Let d = l + -10780. Is d a prime number? True Let r = -368591 - -782244. Is r a composite number? False Let c = 76528 - 28157. Is c a composite number? False Let x be (-2)/(-8) + 570/120. Suppose -2*o + 5011 = x*w, 3*o - 2*w = -4578 + 12085. Is o a prime number? True Let b(k) = -12*k**2 + 9 - 21*k**2 + 32*k**2 - 2*k. Let u be b(-4). Suppose -r + 0 = -u, -2*q = -r - 7365. Is q prime? False Let x = 9 + -3. Suppose 5*l - 36207 = 3*j, 3*l + 3*j - 36183 = -2*l. Is (l/x)/((-6)/(-12)) a prime number? False Let a(z) = z**3 - 6*z**2 + 2*z - 9. Let s = 28 + -22. Let y be a(s). Suppose 990 = y*t - 3975. Is t a prime number? False Suppose 4*g - 4*y = 231612, -273*g + 271*g = -3*y - 115810. Is g a composite number? False Suppose -2*i + 8 = 0, 0 = 11*h - 8*h - 3*i - 64674. Is h prime? False Suppose 20*z + 166486 = 22*z - 3*s, -z + 4*s = -83243. Is z prime? True Let o = -126101 + 329220. Is o a composite number? True Let a(q) = 11678*q**3 - 10*q**2 + 11*q - 1. Let m(c) = -c**3 + c**2 + 18*c + 19. Let g be m(-3). Is a(g) composite? True Let n = 540 - 520. Is 3/12*-3 + 64475/n a prime number? False Let a be ((-18)/15)/6 + (-4836)/(-5). Let u = a - 497. Let i = u + -259. Is i a prime number? True Let h(y) = y**3. Let b(l) = 3*l**3 - l + 15. Let c(i) = b(i) - 6*h(i). Suppose -4*j + f - 18 = 0, 0*f + 5*f = 2*j. Is c(j) composite? True Let j(i) = -3*i**3 - 33*i**2 - 113*i + 3. Is j(-20) a composite number? False Let p(f) = -38*f - 54. Let d be p(28). Let m = d + 4039. Is m a prime number? False Let t = -45284 - -108747. Is t a composite number? False Suppose 10*b - 7*b + 101*b - 36871432 = 0. Is b composite? False Suppose -6*k = -4*k + 1544. Let o = k - -1170. Suppose 3*x - 307 - o = 0. Is x a prime number? False Suppose 3*i - 17475 = -2934. Let n = i + 300. Is n prime? True Let b = -330663 - -980686. Is b a prime number? False Let v(h) be the third derivative of 214*h**4/3 - 61*h**3/6 - 7*h**2. Is v(6) a composite number? False Suppose 23*b = 9357 + 740. Is b composite? False Let o = -2372 - -4197. Let t be 6/(0 + 4 + -2). Suppose o = 3*p - 2*p - d, 2*p - 3652 = t*d. Is p a composite number? False Suppose 8*y = 10*y +
{ "pile_set_name": "DM Mathematics" }
3)) -1/29 What is the value of (-3*3)/(-1)*(-240)/((-960)/(-8))? -18 What is (-36)/(-150)*(-105)/14? -9/5 What is (1/(-7)*-5)/((-5280)/(-6336))? 6/7 Calculate (-60)/16*10/15*-6. 15 What is the value of 3/((-1*(-2)/(-14))/((-1552)/4074))? 8 Evaluate (42/(-35))/(14/(-15))*(-5)/(-15). 3/7 Evaluate (-35)/(-245)*((-126)/20)/3. -3/10 What is ((-172)/1032)/(2/(-4))? 1/3 (12/(-99)*1)/((-16)/72) 6/11 What is 1*3*((-9)/(-15))/((-483)/(-5635))? 21 Calculate ((4/5)/((-666)/(-1665)))/((-3)/(-24)). 16 What is -4*((3059/(-28))/(-19))/(-1)? 23 What is (((-528)/36)/11)/(-1*1/3)? 4 (25/((-1050)/56))/(5/3) -4/5 Evaluate (-20*26/(-8450))/((-4)/10). -2/13 Evaluate (-10)/9*(-54)/5. 12 Evaluate (-25)/325*2*1*(-4)/8. 1/13 What is 35/(-42)*(-13)/(39/12)? 10/3 What is the value of 24/1080*-9*2*-1? 2/5 Calculate ((-12)/(-10))/(414/8050)*18/(-12). -35 What is the value of ((-98)/84)/((-15)/(-20))? -14/9 Calculate (19/((-665)/14))/((-3)/45). 6 285/(-190)*1*8 -12 Calculate 135/(-675)*6/(-51). 2/85 (273/(-15))/13*(-7)/((-343)/(-7)) 1/5 What is the value of (41400/2700)/((-3)/((-9)/4))? 23/2 What is ((-30)/108)/((-300)/405)? 3/8 What is the value of (9/21*(-140)/(-150))/(10/75)? 3 Evaluate (2/18)/((-624)/(-432)). 1/13 Calculate (-48)/9*(-1197)/(-532). -12 What is the value of ((-34)/(-10))/(((-2)/7)/((-430)/(-301)))? -17 Calculate (-140)/784*70*(-2)/1. 25 Evaluate (30/6090*87)/((-1)/((-7)/5)). 3/5 Calculate ((-16)/(-4)*11/(-143))/2. -2/13 (38/494)/((-1)/1) -1/13 ((-75)/210)/((-35)/(-21)) -3/14 Evaluate (-8)/4*36/(-96). 3/4 (7/(-10))/((-882)/210) 1/6 What is the value of ((-18)/(-8))/(((-120)/(-128))/(-5))? -12 What is (3816/(-11872))/(1/((-14)/(-6)))? -3/4 What is the value of ((-23)/(-2))/((-32)/(-64))? 23 What is the value of (-24)/((-1224)/(-119))*(-72)/462? 4/11 6/66*-11*1/2*-2 1 What is (2/1)/(34/(816/(-168)))? -2/7 What is (2*3*(-4)/6)/(3172/26)? -2/61 Evaluate (12/2)/216*78/78. 1/36 (250/(-250))/((-2)/4) 2 ((-112)/7)/((-4)/1) 4 What is the value of (-840)/(-225)*3*25/20? 14 Calculate 91/(-637)*(-14)/4. 1/2 Evaluate (-12)/12*51/(-34)*2. 3 (((-8673)/(-343))/(-59))/((180/(-21))/(-3)) -3/20 Evaluate ((-8355)/(-120312))/(2/(-16)). -5/9 What is the value of -5*177/(-4425)*3/((-6)/16)? -8/5 What is the value of ((2/(-44))/(185/(-1480)))/(2*1)? 2/11 What is (-6)/(-63)*(-763)/(-109)? 2/3 ((-8082)/(-3143))/(3/(-14)) -12 What is the value of 31/((-217)/84)*-2*7/(-21)? -8 (-852)/(-213)*(-1)/((-246)/(-3)) -2/41 What is 32/12*(-2160)/1152? -5 Evaluate (9/((-576)/(-16)))/(-1*(-2)/(-10)). -5/4 What is (39/104)/((27/63)/(88/(-28)))? -11/4 (23/(805/40))/(-4*3/(-6)) 4/7 Evaluate (25/(-30))/((-315)/27). 1/14 Evaluate 21/(-9)*(-234)/91. 6 Calculate (-7)/18*(-29)/((-3857)/(-76)). 2/9 Calculate 35/(50/(-10))*4*4/16. -7 What is the value of (220/275)/(2/(-30))? -12 -10*((-48)/(-60))/((-6)/(-15)) -20 What is the value of ((-36)/(-156))/((-19)/19)? -3/13 30/56*640/(-240) -10/7 Evaluate (30/5720*-11)/(1/(-4)). 3/13 Evaluate 3*1015/(-105)*(-9)/(-9). -29 Calculate (216/54)/(((-5)/2)/5). -8 What is the value of ((-6)/18)/((-90)/(-54))? -1/5 Evaluate 536/(-1474)*11/2. -2 Calculate 3/12*40/(-115). -2/23 Evaluate 0/((-6)/((-9)/(-3)))*3/9. 0 What is the value of (-4)/(-50)*5*(-15)/1? -6 Evaluate 30/475*-6*(-12)/(-216). -2/95 ((-9)/3)/(-8*51/(-544)) -4 4/((3/21*6)/3) 14 Calculate 32*-2*817/(-2752). 19 Calculate (-1)/(-1)*(-35)/15*3. -7 What is the value of (81/(-1053))/(2/(-6))? 3/13 What is (136/3264)/(4/36)? 3/8 Calculate ((-1)/((-32)/(-26)))/((6968/(-416))/(-67)). -13/4 What is the value of ((-114)/20)/(-19)*440/352? 3/8 Calculate (29/(290/40))/((-286)/22). -4/13 Evaluate 8*(-4)/8*-1*14/(-98). -4/7 Evaluate 27/27*((-9)/(-69))/(-3)*2. -2/23 ((-160)/6*153/(-85))/3 16 Evaluate (-24)/(-81)*(-1)/((-12)/3). 2/27 What is the value of ((-44)/(-22))/(2/(-7)*1)? -7 ((27/12)/3)/((-15)/(-380)*-2) -19/2 Evaluate (8/2)/(-7*20/(-35)). 1 What is (-4)/((-13)/351*-12)? -9 What is the value of (-8)/(-6)*3456/512? 9 What is 1*(-12)/132*-1? 1/11 What is the value of (12*(-1218)/3024)/(2/(-12))? 29 Calculate (8/20)/((-18)/990). -22 Evaluate (4/40*-4)/((-8)/(-140)). -7 What is the value of 2/5*500/1800? 1/9 What is the value of ((-9)/6)/(-6*(-7)/(-238))*2? 17 (-2)/(-1)*(10/12)/(50/270) 9 (-200)/660*((-6)/(-35))/(9/63) -4/11 What is the value of ((-6)/(-14))/(36/12)? 1/7 Evaluate 10/5*((-20)/6)/((-48)/(-36)). -5 ((-60)/20)/((-5)/(25/3)) 5 What is 8/(-14)*4/((-72)/(-63))*-5? 10 What is the value of ((3/(-10))/(-3))/((-91)/(-70))? 1/13 What is the value of (-3)/(15/(-40))*4/(-40)? -4/5 (-36)/(-32)*(-24)/(-63) 3/7 Calculate 3/3*(-8)/(-6)*798/76. 14 Evaluate 42/(-16)*(-4)/3*(-39546)/(-15379). 9 Evaluate 14/(-35)*(-6)/((-120)/25)*-6. 3 Calculate (-1320)/1210*(-132)/9. 16 Calculate (-72)/(-8)*3/((-12)/4). -9 Calculate ((-2)/66)/(((-4)/(-24)*8)/2). -1/22 Evaluate (-6)/15*((-15)/9)/(1/9). 6 Calculate ((-2)/280*-6)/(1*(-7)/35). -3/14 ((-3)/(-10))/(228/(-1330)) -7/4 What is the value of (((-1)/1)/(-2))/(-11*15/990)? -3 Evaluate ((6/4)/((-243)/972))/((-4)/2). 3 Evaluate 462/33*28/(-49). -8 What is the value of 21/((306/99)/(-17)*(-22)/4)? 21 Evaluate (((-12)/14)/(14/(-7)))/((-60)/(-105)). 3/4 Evaluate 2/(-72)*10*(-20)/1750*-10. -2/63 ((-5)/12)/((-10)/(-6))*-52 13 What is (-13)/39*(126/27)/14? -1/9 Calculate ((-41)/(-123))/((-38)/6). -1/19 What is (-2)/(-39)*-42*(-26)/182? 4/13 What is the value of 222/(-1147)*2*5/30? -2/31 What is 69/(-7)*-21*(-25)/(-225)? 23 Calculate ((-35)/((-595)/34))/(8/2). 1/2 What is (573/1528)/((-6)/(-4)*(-4)/(-96))? 6 What is ((-7)/(-7))/((-4)/60)*3/(-27)? 5/3 (33/88)/(3/(-10))*20/5 -5 What is (1/(-2*1))/((-10754)/(-2264))? -2/19 What is (((-12)/(-24))/(1/2))/((-5)/3)? -3/5 What is (2/(1/(-1)))/(4/((-3)/(-3)))? -1/2 What is the value of 274/(-1507)*(-1)/(-1)*11? -2 1/(-27)*(-3393)/754 1/6 Evaluate (-12*1/(-14))/(832/(-728)). -3/4 Evaluate (((-84)/12)/42)/(4/16*1). -2/3 Calculate ((-68)/4)/((-12)/24*(-22)/(-11)). 17 (19/95)/(63/70) 2/9 What is the value of ((-102)/(30/(-30)))/6? 17 What is (-21)/(-12)*(-12)/(-42)? 1/2 Evaluate (0*15/795)/((-4)/(-2)). 0 231/(-1485)*(-84)/(-98) -2/15 Calculate ((220/(-6))/11)/((-45)/162). 12 ((-28)/(-14))/((-16)/(-88)) 11 Calculate 8*12/((-240)/(-5)). 2 Calculate (45/(-90))/((-14)/(-88)). -22/7 What is the value of (32/72)/2*(-5)/2? -5/9 Calculate ((-7)/(490/(-12)))/(648/810). 3/14 What is the value of ((-1)/(-12)*2)/(4/456)? 19 Evaluate (240/50)/12*15*-1*-4. 24 (10/(-15))/((-280)/360) 6/7 Calculate (400/240)/((-10)/(-36)). 6 What is the value of (93/5704*23)/((-14)/(-16))? 3/7 Calculate (-8)/6*(80/940)/(16/6). -2/47 Calculate (-3975)/(-159)*(-1)/(-5). 5 Calculate ((-1)/39)/(6/72*-2). 2/13 ((-15)/12)/(122/(-2440)) 25 Evaluate (6/20)/((-5)/(-10)*(-5)/5). -3/5 10/2*20/(9600/16)*-6 -1 Evaluate (572/(-34320))/(1/4). -1/15 Evaluate (-13)/(-46)*1128/3666. 2/23 What is 3/2*(-30)/(-2025)*-10*3? -2/3 Calculate (-9)/(-3)*(-70)/(-140). 3/2 Evaluate (-4)/((-52)/(((-7)/7)/((-6)/36))). 6/13 What is 8/(-25)*430/(-516)*(-4)/(-4)? 4/15 What is (-7*2/(-2))/(((-2520)/(-21))/(-24))? -7/5 What is the value of (-360)/(-810)*(-1863)/(-36)? 23 What is (-256)/24*(-2)/(4/(-3))? -16 What is (4*50/125)/((-4)/6)? -12/5 Evaluate (8/1088*-4*-6)/(-3). -1/17 (((-8)/(-10))/(-2))/(((-5909)/1140)/(-311)) -24 36/18*1/6*6/37 2/37 What is the value of 4/(-1)*2075/6640? -5/4 What is ((-96)/42)/(-8)*(-2)/2? -2/7 Evaluate (-13)/(-4)*15/(-260)*-8*-2. -3 What is (-110)/44*(-48)/(-4)*12/30? -12 Calculate (-6*10/(-16))/(-3). -5/4 Evaluate ((-105)/(-50))/(63/45). 3/2 Calculate (118/(-1770))/((-14)/(-1400)). -20/3 What is -3*2*(-16)/32? 3 What is (25/(-70))/((-635)/(-381))? -3/14 What is the value of (((-9)/(-21))/((-8)/(-56)))/(-1)*10? -30 What is (((-272)/(-12))/17)/(5/225*-2)? -30 What is the value of (-126)/(-70)*1/3*1? 3/5 Evaluate (-6)/(-64)*1140/(-2565). -1/24 Evaluate ((-10)/4)/((-4085)/(-76)). -2/43 Evaluate 560/224*(-12)/1065. -2/71 What is ((-1)/(-4)*384/(-352))/(12/(-8))? 2/11 What is (12*62/(-5208))/((-16)/(-14))? -1/8 What is the value of (1*1*4)/((-741)/741)? -4 Calculate 6/(-22)*14/(-8)*3144/(-917). -18/11 Calculate ((-138)/207)/(20/(-8)*(-3)/5). -4/9 Evaluate 9/20*1360/(-1020). -3/5 (117/(-42))/(((-240)/(-70))/4)*1 -13/4 Evaluate -14*(-6)/((3/(-4))/((-87)/(-696))). -14 Evaluate (9/72)/((-648)/(-576)). 1
{ "pile_set_name": "DM Mathematics" }
5 Four letters picked without replacement from vvvvvvvnvvvvvkkk. Give prob of picking 3 v and 1 n. 11/91 Two letters picked without replacement from eisks. What is prob of picking 1 i and 1 e? 1/10 Calculate prob of picking 1 b and 2 o when three letters picked without replacement from byoyobbbwwbybbb. 8/455 Calculate prob of picking 2 e and 1 l when three letters picked without replacement from {e: 2, l: 1, t: 2}. 1/10 What is prob of picking 1 a and 2 i when three letters picked without replacement from iaiaia? 9/20 Calculate prob of picking 1 d, 1 a, and 2 z when four letters picked without replacement from {z: 2, a: 1, d: 1, h: 1}. 1/5 Four letters picked without replacement from {a: 5, i: 4, y: 1, v: 3}. What is prob of picking 1 v and 3 a? 6/143 What is prob of picking 2 f when two letters picked without replacement from iff? 1/3 Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {m: 6, i: 5, l: 2, u: 2, v: 3}. 1/136 Two letters picked without replacement from iiijiiibjib. What is prob of picking 1 b and 1 i? 14/55 What is prob of picking 1 n and 1 l when two letters picked without replacement from tqjqjrjqlqnrq? 1/78 Two letters picked without replacement from {e: 2, y: 5, q: 12}. Give prob of picking 1 e and 1 q. 8/57 What is prob of picking 2 c when two letters picked without replacement from ffffffffcfcff? 1/78 Calculate prob of picking 1 o and 2 i when three letters picked without replacement from {b: 2, o: 10, i: 4, h: 1}. 3/34 Two letters picked without replacement from ccpccccppcccccpcpcc. Give prob of picking 1 p and 1 c. 70/171 What is prob of picking 3 d and 1 l when four letters picked without replacement from {d: 3, l: 8}? 4/165 Two letters picked without replacement from {o: 5, z: 1, g: 9, k: 5}. What is prob of picking 2 o? 1/19 What is prob of picking 2 e, 1 k, and 1 s when four letters picked without replacement from {t: 6, y: 1, e: 2, s: 1, r: 8, k: 2}? 2/4845 Three letters picked without replacement from {p: 2, r: 8, a: 4, n: 1, l: 2, c: 3}. Give prob of picking 1 a, 1 n, and 1 r. 8/285 What is prob of picking 2 p and 1 y when three letters picked without replacement from ypyypyy? 1/7 Calculate prob of picking 1 v and 3 t when four letters picked without replacement from vvnttvnvvtvt. 8/165 Four letters picked without replacement from krmki. Give prob of picking 1 k, 1 i, 1 r, and 1 m. 2/5 Two letters picked without replacement from ffgii. Give prob of picking 2 i. 1/10 Three letters picked without replacement from siefjja. Give prob of picking 2 j and 1 i. 1/35 Three letters picked without replacement from iiiiihiiiiiiihiiiiii. What is prob of picking 3 i? 68/95 Three letters picked without replacement from {m: 4, a: 1, c: 7, b: 6}. Give prob of picking 2 m and 1 a. 1/136 Three letters picked without replacement from ikkiyuso. What is prob of picking 2 u and 1 i? 0 What is prob of picking 3 a when three letters picked without replacement from matmmmlmkmaat? 1/286 What is prob of picking 2 w and 1 b when three letters picked without replacement from {o: 2, b: 1, w: 1}? 0 Four letters picked without replacement from {u: 2, c: 7}. What is prob of picking 1 u and 3 c? 5/9 Calculate prob of picking 2 a and 1 z when three letters picked without replacement from uzzuzzzzuauauaa. 36/455 Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {g: 5, c: 3, v: 4}. 3/55 What is prob of picking 1 n and 1 m when two letters picked without replacement from kmbnbgbbkhbgbnmkk? 1/34 Three letters picked without replacement from {d: 5, p: 3, t: 1, f: 1}. Give prob of picking 1 p, 1 f, and 1 t. 1/40 Two letters picked without replacement from {d: 1, l: 9, p: 1}. What is prob of picking 1 d and 1 p? 1/55 What is prob of picking 1 r, 1 v, and 1 k when three letters picked without replacement from {x: 1, p: 1, k: 1, d: 1, v: 1, r: 2}? 2/35 Three letters picked without replacement from {d: 5, w: 5}. Give prob of picking 2 d and 1 w. 5/12 Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {j: 3, r: 4}. 4/7 Three letters picked without replacement from ngggn. Give prob of picking 1 g and 2 n. 3/10 Two letters picked without replacement from shikssibbsbvbhh. Give prob of picking 1 b and 1 h. 4/35 Two letters picked without replacement from {y: 1, k: 7, t: 6}. Give prob of picking 1 t and 1 y. 6/91 Three letters picked without replacement from llllllllll. What is prob of picking 3 l? 1 Two letters picked without replacement from wfwwwfwjwwkwwkfwkjj. Give prob of picking 1 w and 1 f. 10/57 Calculate prob of picking 1 a and 2 c when three letters picked without replacement from accccccacccccccccc. 5/17 Calculate prob of picking 1 l and 3 n when four letters picked without replacement from nlwwnnwlwwwln. 12/715 What is prob of picking 2 k and 1 f when three letters picked without replacement from fkfnnknrpf? 1/40 Two letters picked without replacement from {e: 6, f: 7}. Give prob of picking 1 e and 1 f. 7/13 What is prob of picking 1 o and 1 p when two letters picked without replacement from {o: 3, l: 10, f: 1, p: 1}? 1/35 Four letters picked without replacement from {c: 6}. Give prob of picking 4 c. 1 What is prob of picking 1 y, 1 o, 1 b, and 1 s when four letters picked without replacement from {b: 2, t: 3, y: 4, o: 1, s: 3, m: 3}? 6/455 Calculate prob of picking 1 g, 2 i, and 1 y when four letters picked without replacement from ydzgzzgziizydgozgd. 2/765 Calculate prob of picking 1 f and 1 c when two letters picked without replacement from agfggfffmffffgafgc. 1/17 Three letters picked without replacement from {w: 5, t: 3}. What is prob of picking 1 t and 2 w? 15/28 What is prob of picking 3 d and 1 g when four letters picked without replacement from dgdgg? 0 Two letters picked without replacement from {i: 3, l: 5, s: 1, c: 1}. Give prob of picking 2 l. 2/9 Calculate prob of picking 4 f when four letters picked without replacement from {w: 1, f: 13, h: 1}. 11/21 What is prob of picking 2 v when two letters picked without replacement from vvvvvvvvvvvvrvvvvvvv? 9/10 Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {e: 1, z: 1, i: 1, q: 5, y: 3, h: 2}. 1/78 Three letters picked without replacement from {z: 1, j: 1, d: 2, l: 2, n: 10}. Give prob of picking 1 d, 1 j, and 1 n. 1/28 What is prob of picking 3 d and 1 i when four letters picked without replacement from diiddd? 8/15 Calculate prob of picking 1 i and 2 b when three letters picked without replacement from ibirrrrrb. 1/42 Four letters picked without replacement from {i: 1, g: 7, x: 6}. What is prob of picking 4 x? 15/1001 Four letters picked without replacement from {u: 4, e: 3}. What is prob of picking 2 e and 2 u? 18/35 Calculate prob of picking 1 y and 1 r when two letters picked without replacement from thytjerh. 1/28 Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {h: 3, s: 3, v: 2}. 9/28 Four letters picked without replacement from {d: 4, f: 2, i: 4, u: 1, b: 2, h: 1}. Give prob of picking 1 u, 1 h, and 2 d. 6/1001 What is prob of picking 1 u, 1 z, and 1 e when three letters picked without replacement from eyeyyuecyeezeppy? 3/280 Four letters picked without replacement from sksnkn. Give prob of picking 2 s and 2 n. 1/15 Calculate prob of picking 2 z when two letters picked without replacement from zyzyhyz. 1/7 What is prob of picking 1 h and 1 d when two letters picked without replacement from dlhhhllh? 1/7 What is prob of picking 2 c and 1 x when three letters picked without replacement from {r: 8, x: 5, c: 2}? 1/91 Calculate prob of picking 1 r and 1 m when two letters picked without replacement from tdbmytdtdbbbydyyybrr. 1/95 Calculate prob of picking 3 o and 1 x when four letters picked without replacement from {x: 4, o: 7, u: 2}. 28/143 Calculate prob of picking 2 p, 1 s, and 1 y when four letters picked without replacement from pikyypppskpyiskssp. 1/17 What is prob of picking 1 h, 1 k, and 1 s when three letters picked without replacement from {k: 2, s: 3, h: 3}? 9/28 What is prob of picking 2 v when two letters picked without replacement from {n: 4, e: 1, o: 3, s: 1, v: 2}? 1/55 Two letters pi
{ "pile_set_name": "DM Mathematics" }
0 = 5*x - 0*x - 3*q for x. 0 Let q be (5/5*(-2 - -2))/(-1). Solve 28 = -q*d + 5*d - 3*i, i = -1 for d. 5 Let q(m) = m**2 + 6*m + 5. Suppose -3*n + 4*p = 41, -18 = 4*n + 4*p - 2*p. Let x be q(n). Solve -2*r + 5*t = 14, 6*t - 3*t - x = 0 for r. 3 Let r be 4/(-3 - (-2 - 2)). Let t = r + -1. Suppose -5 = -4*q + t. Solve 5*n - 15 = 2*u + q*u, -3*u + 3*n = 9 for u. 0 Let p(t) = -t**3 + 3*t**2 + 3*t + 7. Let m be p(4). Solve 5*j - 10 = -5*z, -4*z - 10 = -m*j + 3 for z. -1 Let w be (-92)/28 - (-2)/7. Let p = -1 - w. Solve -2*i + p*o = -2*o + 2, -6 = 3*o for i. -5 Let w(z) = -3*z - 33. Let v be w(-16). Solve 0 = 5*r + 2*i + v, 3*r = 4*r - 4*i + 3 for r. -3 Let x be 2*(-2 - (-4 + 3)). Let k be 2 - 2/x*1. Solve 5*y = -f - 15, k*y - 4*y - 3*f - 3 = 0 for y. -3 Suppose -3*y + 3 = -6. Suppose 65 = 2*h + y*h. Solve -3*n + h + 0 = 2*r, -5*n = -2*r - 27 for r. -1 Let v = -7 + 10. Suppose 2*n + 2*z + 6 = -2*z, -3 = n + v*z. Let i be 3/n + 1 + 1. Solve 0 = h - 4, -h - i = g - 3 for g. -2 Let v be (2 - 2)*(-1 - -6)/(-10). Solve -b + 2*x - 6 = -3*b, -b - 5*x + 11 = v for b. 1 Let b(z) = -z - 1. Let f be b(-5). Solve f*s + 2*l = 2, -12 = -3*s - 6*l + l for s. -1 Let v = 69 + -65. Solve -4*m + 6 = 2, -v = -3*x + 5*m for x. 3 Suppose 2*p - u = -0*p + 19, -60 = -5*p + 5*u. Solve 2*i - 6 = -2*q, i + 0 - p = -2*q for q. 4 Let h(c) = -2*c - 5. Let d be h(-4). Let m(k) = -3*k + k**2 + 7 - d*k + 0. Let r be m(5). Solve f = -3*x, r*f = -0*f + 5*x for f. 0 Suppose 4*l = 3*i + l + 6, 4*l - 2 = i. Let v be i/(-12) - (-3)/(-18). Solve v = 3*z + w - 13, -z + 8 = 4*w for z. 4 Suppose 4*v = 5*j - 87, -2*v = -4*j + 6*j - 24. Solve -5*h + 5*f = -j, -12 = 3*h + 4*f - 0 for h. 0 Let a = 7 + 1. Let w(j) = 3 - 4 + a*j**2 - j**3 - 5*j - 8. Let q be w(7). Solve -3*i + 7 = -c, -4*i + 3*c = -3*i - q for i. 2 Let t = -1 + 16. Let k be (20/t)/((-4)/(-6)). Solve 4*i - 5*v + k = -3, 2*i - 2*v = -4 for i. -5 Suppose 3*k - 4*k = 0. Solve 2*z + 0*b - b + 10 = k, z + 5*b + 5 = 0 for z. -5 Let t(z) = 0 + z + 0*z + 0*z + 1. Let a be t(-2). Let n = a - -4. Solve -3*b + 2 = 5*j - 7, -3*b + n*j = -9 for b. 3 Let u(m) be the first derivative of m**3/3 - 2*m**2 - 3*m - 2. Let a be u(5). Suppose -8 = -2*d + 2. Solve -12 - 14 = -5*v - 4*f, -a*f = d*v - 18 for v. 2 Suppose -5*o + 7 + 3 = 0. Suppose -10 = -3*m + o. Solve -m = 4*h + 3*p - 0, -36 = 4*h - 5*p for h. -4 Let t(k) = -2*k**2 + k. Let h = 5 + -2. Let b be t(h). Let p = 22 + b. Solve -4*y - p = 3*v - 0*v, 0 = -4*y + 4*v + 28 for y. 2 Let g be 1/((-1)/(1*-3)). Let d be 22/g + (-4)/(-6). Suppose -4*j + 8 = -d. Solve -j*w - 5*v = -0*v + 25, -3*v - 15 = -5*w for w. 0 Let k be (-2)/(-10) - 2/10. Solve k*w + 5*w + 35 = -5*o, -5*o - w - 19 = 0 for o. -3 Let q be (-38)/(-6) - 2/6. Solve -2*t + 2*u = -4*t + 10, 0 = -t - 2*u + q for t. 4 Suppose 4*z = 3*z - 5. Let w = z - -15. Solve -2*r = -3*r + 5*d - w, -4*d = -4*r - 8 for r. 0 Let o(b) = -b**2 - b. Let k be o(-1). Let c be 0*((-10)/(-4) - 3). Solve c = -3*y + 4*l - 6, 7 = -y - k*y + 3*l for y. 2 Let j = -7 - -12. Solve 2*y = r - 3 + 8, -7 = -j*y - 3*r for y. 2 Let z(m) = -m**3 - 7*m**2 - 3*m. Let n = 9 - 15. Let l be z(n). Let w be (l*1)/((-4)/2). Solve -3*b - w = 2*t, 0*b - b - 1 = 0 for t. -3 Suppose -5 = -4*h + 3. Let v = -1 + h. Solve -4 = -2*n - s, -v - 5 = -3*n + 5*s for n. 2 Suppose 24 = -3*k - k. Let v = k + 11. Solve -3*h - 4*n = -27, v*h + 7 = -2*n + 38 for h. 5 Suppose -2*q = q - 18. Let s(h) = h - 2. Let v be s(q). Solve -v*w = 4*d + 4, 3*d = -d for w. -1 Suppose l - 1 = 1. Suppose 2*y = -l*y + 12. Suppose 3*d = y*s + 6, -5*d = 4*s - 8*s - 11. Solve d*w + 5 = -2*n - 2, -2*n + 3*w - 1 = 0 for n. -2 Let p(k) = k. Let v(y) = -y**2 + y - 2. Let x(s) = 4*p(s) - v(s). Let z be x(-2). Solve z = 4*c - 2*h + 14, -3*c - 4*h + 5*h = 8 for c. -1 Suppose -l = -5*k + 11, -k = 3*l - 1 + 2. Solve 2 = -3*v + k*v, 0 = 5*c + 4*v + 13 for c. -1 Let f = 5 - 4. Suppose -2*w + 22 = -3*d - f, -4*w + 41 = -5*d. Suppose 0 = -0*g + w*g. Solve 0 = o + 2, -2*v = -g*v + 4*o + 4 for v. 2 Let u(x) = -x - 2. Let q be u(-6). Suppose 0 = l - 4*l + 5*m - 6, -4*m = -q*l. Solve -1 = 2*k - 3*i, l*i = -k + 5*i for k. -2 Let i be (8/24)/(1/15). Solve 4*n - l = -11, i*n - 5 = -2*l - 3*l for n. -2 Let p = -3 + 6. Let c be 1*(8 + -3 + 2). Suppose -19 = -p*w - c. Solve w*t + 12 = 4*o - 0*o, 0 = 4*t - 3*o + 11 for t. -2 Suppose 5*i - 25 = 0, 3*a - 173 = -a - 5*i. Solve -4*d - 3*y = -27, 3*y = -4*d - 2*y + a for d. 3 Suppose 3*k = 3*g - 15, 5*g = -3*k - k + 7. Suppose g*v = 3, 0 = -4*u - 5*v - 2 + 15. Solve -r - f + u*f - 9 = 0, -2*f = 4*r + 12 for r. -5 Let x be (-36)/(-27)*18/4. Suppose 4*r - 14 + x = 0. Solve 3*s = -15, r*s = -5*l - 0*l - 5 for l. 1 Let b(z) = z + 9. Let f be b(-7). Suppose -r + 7 = 3. Solve 0 = -h - 2 - f, 0 = -r*n - 5*h - 28 for n. -2 Let c = -13 + 7. Let g = c + 11. Solve -4*j + y + 4*y = -6, -g*y - 14 = 4*j for j. -1 Let t(n) = -n**3 - n**2 + 4*n - 1. Let l be t(-3). Let r = 3 + 0. Suppose r*b - 26 = -s, 2 + 8 = 5*s. Solve -3*j - l*f + b = 0, 3 - 5 = -j - f for j. 1 Let h(u) = 3*u + 8. Let v be h(-6). Let t be 10*(18/v - -1). Let c(r) = -2*r - 11. Let p be c(t). Solve -p*q - 24 = d, -4*q - q = -d + 16 for d. -4 Let f(l) = -l**3 + 4*l**2 + 2*l - 6. Let m be f(4). Solve 0*k + k = -3*u - 4, 4*u + m = -3*k for u. -2 Let r = -7 - -5. Let w = r + 3. Solve 0 = y - w, 0 = 3*t + 5*y - 0*y - 5 for t. 0 Let j be (1/4)/1*20. Solve -j*y + 4*t = -9, 0 = 4*y - 3*t - 5 - 2 for y. 1 Suppose 22 = 2*z - 5*g + 7, 0 = 3*z + g + 3. Suppose -2*x - 9 = -y, 0 = 2*y + 3*y + 2*x + 3. Solve -5 - 2 = 5*j - 3*c, z = -2*j + 5*c + y for j. -2 Let r be (-4)/(-4 - (-9 - -4)). Let g = -4 - r. Solve g = -u + 1 - 0, 0 = 3*c - 2*u + 5 for c. -1 Let a = 24 - 15. Solve -g = l - 3, -2*g - g - 4*l = -a for g. 3 Let g(s) be the third derivative of 1/60*s**5 + 0 - 3*s**2 + 0*s + 2/3*s**3 + 1/8*s**4. Let l be g(-3). Solve -2*d - 1 = -4*w + 9, -l*w + 13 = -d for d. 3 Let p = -19 - -23. Solve -4*r + 4*s = 12, -14 = p*r + 4*s + 6 for r. -4 Let u(l) = -19*l**3 - l**2. Let t be u(-1). Let w(b) = 6 + 6*b**2 - 5*b**2 - 9 + 7*b - 2*b. Let q be w(-6). Solve -5*o - z = -t, 4*z - q - 9 = -5*o for o. 4 Suppose -3*a - 3*d = -27, 4*a = a - 2*d + 24. Solve -2*b + 2*r = 1 + 9, 0 = 3*b + 4*r - a for b. -2 Let d be 2 - 0 - (-2 + 0). Solve 0 = -d*s + 3*t + 26, 0 = 5*s + 3*t - 0*t - 19 for s. 5 Let m = 8 - -1. Let i = m + -3. Let f be (4/i)/(2/6). Solve -u = -2*z + 3*z - 1, -f*u = -5*z + 19 for u. -2 Let n(q) = -7 - 2 + 5*q**2 - 1 - 5*q - 4*q**2. Let m be n(7). Let w be 0 + 4 + 1 + 0. Solve w*h + 0*k - 16 = -2*k, -5*h + m = -2*k for h. 2 Suppose 4*r - 19 = -3*t, -3*r + 17 = 2*r - 3*t. Suppose 4*n + 24 = r*u, 2*u - 2*n + 4*n - 28 = 0. Solve -2*b + 17 = -5*j, -2*b - 3*b - u = 5*j for j. -3 Let i(a) = -a**2 + 19*a + 23. Let j be i(20). Let q(g) = g**3 - 2*g**2 + 2*g - 1. Let y be q(1). Solve y*h + 4*h = -5*k - 22, 4*h + 6 = j*k for k. -2 Let r = 4 + -4. Suppose r = c + 2*w - 27, 5*c - 124 = 3*w - 2*w. Solve -2*j + 5*i + 26 = -j, -5*i = c for j. 1 Suppose -2*b - 2*b = -h - 18, 5*h + 10 = 0. Suppose -b = -r, a = -4*a + 5*r + 15. Solve 2*k - g + a = 14, -20 = 5*k + 5*g for k. 1 Let p = -1 - -5. Let n be (4/(-6))/2 - 248/(-24). Solve n = -5*c + 3*q, -3*c = p*q + q + 40 for c. -5 Let f(a) = 2*a**3 + a**2 + a - 1. Let c be f(1). Let z(b) = b**2 - 2*b. Let g be z(c). Solve 3*t = r + 2 - 0, 0 = 5*r + g*t - 8 for r. 1 Suppose 74*l = 71*l + 9. Solve -s = -3*i - 20, -l*s + 41 = -5*i + 1 for i. -5 Let n(o) = -3*o**3 + 4*o**2 - 3*o. Let x be n(2). Let i be (-1)/2 + x/(-4). Suppose -r = -3*k - i*r, -3*r = 3*k. Solve k = -h + 3*b - 6, h = -2*h + 3*b for h. 3 Let n be (-2 - -5 - 2) + 2. Let i be 42/2 + (n - 4). Suppose 4*y - i + 4 = 0. Solve -y*g + 2*g + 31 = -5*c, -27 = -4*g + 3*c for g. 3 Let f be 6*2*5/15. Suppose 2*b - 3*b + 12 = -5*g, 0 = -f*b + 5*g + 18. Let v(d) = -d**2 + 6*d + 2. Let r be v(6). Solve -w + b*p - 15 = -r, w = 4*p - 23 for w. -3 Let t(n) = -n**3 - 14*n**2 + 13*n + 5. Let i be t(-15). Solve -4*h + 3*p - i = 0, 9 + 6 = -h + 2*p for h. -5 Suppose 6*t - 16 = 2*t. Suppose 2*z + 2*v - 8 = 3*v, -t*v = -3*z + 7. Solve 0 = 3*o + 3*c + 30, z*o - 2*o + 2*c + 25 = 0 for o. -5 Let n(r) = 19*r + 1. Let u be n(1). Suppose 2*s = 2*f - 14, 0 = -9*f + 4*f + 2*s + u. Solve -5*z = -f*d + 23 -
{ "pile_set_name": "DM Mathematics" }
Rearrange 91*m + 736*m + 1010*m + 1603*m to the form u + v*m and give v. 3440 Rearrange (-4*u + 5 - 5)*(8*u - 8*u + 16*u**3) - 73*u**4 - 14222*u**3 + 14222*u**3 to the form l*u**4 + i*u + j + z*u**2 + k*u**3 and give l. -137 Express (-3*z - 2*z - 3*z)*(7*z - 3*z - 3*z) + (0*z - z + 0*z)*(5*z + 0*z + 2*z) + 7*z**2 - 4*z**2 + 9*z**2 in the form i*z**2 + w + r*z and give i. -3 Rearrange (0*o + o + 0*o)*(9 + 9827*o**2 - 9827*o**2 - 2*o**3) to x*o**3 + t*o + c*o**2 + f*o**4 + b and give t. 9 Express 3282*u**2 + 3412*u**2 - 956*u**2 in the form t*u + s*u**2 + d and give s. 5738 Express -5*y**3 + 3*y**3 - 20*y**3 + 2 + 0*y**3 - 3*y - 13*y**3 as o*y + s*y**2 + g + p*y**3 and give g. 2 Rearrange 1235*t - 4*t**3 - 10 + 30*t**2 + 0 - 5 - 31*t**2 + 16 to the form z*t**3 + g + r*t + y*t**2 and give y. -1 Express -6352*t + 2617*t + 2390*t - 2 as j + z*t and give j. -2 Express ((-3*a - 4*a + 3*a)*(5 - 2 - 1) - 2*a + 4*a + a - 1 + 2*a + 1)*(9*a - 39*a - 1 + 2*a**2 - 55*a) as s + u*a + f*a**3 + r*a**2 and give f. -6 Express -1235*c - 587*c + 7*c**2 - 5*c**2 + 758*c - 1182*c as j + b*c + i*c**2 and give i. 2 Express (11*b - 4*b + b)*(98*b + 55*b - 12*b + (3 - 4 + 0)*(-2*b - 3*b + b)) as f + g*b + m*b**2 and give m. 1160 Rearrange -1176449*o + 83 + 1176445*o + 1780 to h + j*o and give j. -4 Rearrange 9*r + 41 + 618*r**2 + r**3 - 306*r**2 + r**3 - 311*r**2 to the form g*r + t + d*r**3 + p*r**2 and give t. 41 Rearrange -10*v**2 - 5048*v**3 + 4968*v**3 - 2 - 9*v**2 + 18*v**2 + 32*v**4 to h*v**4 + z*v**3 + m*v + r + a*v**2 and give h. 32 Rearrange -1 + 7635*v - 11391*v + 3 to the form y*v + m and give y. -3756 Rearrange (-4 + 4 + 2*w)*(6971*w**2 - 3621*w**2 + 9 - 3534*w**2) to n*w**2 + h*w**3 + a + q*w and give a. 0 Express -22*k - 1259*k**2 + 643*k**2 + 706*k**2 in the form w*k + h + a*k**2 and give a. 90 Express 20*f**2 + 8*f**3 - 4*f**3 + f + 91 - 3*f**3 - 19*f**2 in the form q*f + g + s*f**3 + o*f**2 and give g. 91 Express 1 - 3*a**2 + 15*a**3 - 3*a + 2*a**2 + 17*a**3 + 3*a**4 - 9*a**3 in the form b*a**4 + d*a**3 + i*a**2 + x + m*a and give m. -3 Rearrange 7727542*p**4 + 1 + 3*p**2 - 7727506*p**4 + 3*p - 2*p to the form i*p + n*p**3 + m*p**4 + a*p**2 + s and give s. 1 Rearrange (6 + 5 - 2)*(-3 - 2 - 9)*(47 - 24 - 19*h - 27) to q + d*h and give d. 2394 Express -268*a**2 - 101 - 5*a - 334 - a + 266*a**2 as l*a + p*a**2 + g and give p. -2 Rearrange -11853 - 2395*y - 2496*y + 4892*y to the form f + p*y and give p. 1 Rearrange -9*q**2 + 0*q**2 - 484*q - 2*q**2 + 1 - 2*q**3 + 243*q + 240*q to the form c*q**2 + a*q**3 + r*q + i and give r. -1 Rearrange (0 + 0 + k**2 + (-k - 2*k - k)*(k + 0*k + 0*k) - 10*k**2 + 3*k**2 + 2*k**2)*((-3 - 21 - 18)*(10 - 1 - 2) + 4 - 4 + 1) to o + t*k**2 + h*k and give t. 2344 Express (6 + 1 - 1 + (-1 + 6 - 3)*(-6 + 3 + 4) - 1 - 1 + 3 + 4 - 2 - 3)*(5 + j + 0*j - 9) + 2*j + 0 + 0 + 4*j + 3*j + 7*j in the form i + t*j and give t. 24 Rearrange (-8*t**2 - 12*t + 12*t)*(-27 - 66 + 23) to the form o*t**2 + b + r*t and give o. 560 Rearrange 2*t + 8 - 3*t**2 + 3*t**2 + 128*t**4 + 1722*t**3 - 1717*t**3 to the form z*t**3 + r*t**4 + u*t**2 + v + i*t and give z. 5 Rearrange 5*a**2 - 6*a**2 + 5*a**2 + (-9 + 35*a**2 + 9)*(-1 + 9 - 3) - 1 + 1 - 2*a**2 to the form x*a**2 + c*a + b and give b. 0 Express 5*k**2 - 7*k - 3*k**2 - 6*k**3 + 95*k**3 + 2 + 7*k in the form c*k**3 + s*k + g + y*k**2 and give g. 2 Rearrange 66*r**3 + 7*r + 0 - 14 + 8 - 8*r + 0 to the form m*r + v + x*r**3 + p*r**2 and give m. -1 Express k + 3662*k**2 - 1595 + 779 + 3610*k**2 + 814 in the form c + q*k**2 + l*k and give l. 1 Express 67 + 129 - 279*f - 1478*f - 196 as x*f + i and give x. -1757 Rearrange (-34 - 18*c + 34)*(2 - 3 + 2)*(33*c + 55 + 57 - 115) to q*c**2 + w*c + o and give w. 54 Rearrange 272*c**4 + 391 - 391 + 2 - 2*c**4 + c**4 - 21*c**3 + 19*c**3 + (1 - 1 + c)*(4*c - c**3 - 4*c) to k*c**4 + z*c**2 + o*c + g*c**3 + l and give o. 0 Rearrange 168*r**3 + 17*r**2 - 10*r**2 - 239*r**3 - r to o + j*r**2 + s*r**3 + d*r and give d. -1 Rearrange 0*u + 2 - u**3 + 0*u - 158*u**2 + 101*u**2 - 3 to the form k*u**2 + t*u**3 + d*u + m and give t. -1 Express (1696*g - 1499*g - 1 - 8757*g)*(2 + 2 - 3) as b*g + y and give b. -8560 Express 35327*y - 13255*y**2 - 35327*y as d + j*y**2 + n*y and give j. -13255 Rearrange (0 - 1 - 4)*(414*v + 1082*v + 4715*v - 1035*v) to y*v + j and give y. -25880 Rearrange 6683*j**2 - 4011*j**2 - 8*j - 3437*j**2 + (-2*j + 5*j - 4*j)*(0*j - 3*j + 4*j) to s*j**2 + n*j + l and give n. -8 Rearrange -4818*h**3 + 1081*h + 1613*h**3 + 1604*h**3 - h**2 + 1606*h**3 to q + s*h**2 + f*h + y*h**3 and give y. 5 Express -581*m + 920*m + 3*m**2 + 868*m + 877*m + 1006*m in the form x*m + r + d*m**2 and give x. 3090 Express 307*i - 303 - 1201*i + 303 - 833*i - 5*i + 2*i + 0*i + i - i + 2*i + (1 - 2 + 3)*(0*i - i + 3*i) - i + 0*i + 3*i as q + j*i and give q. 0 Express 2*c**3 - 141 + 26 - 9184*c**4 + 9183*c**4 - 3*c in the form a*c**2 + y + w*c + u*c**4 + f*c**3 and give y. -115 Express 16*r + r**3 - 740 - 5*r - 10*r - 2*r in the form q + m*r + i*r**3 + g*r**2 and give q. -740 Rearrange 1269*q - 3439*q + 1214*q + 1173*q to the form p + h*q and give h. 217 Rearrange 14 - 12*w - 87*w + 5 - 8 to x + v*w and give v. -99 Express -51 - 6*k**3 + 53 - 3*k + 5*k - 634*k**4 + 6*k**3 in the form f*k**3 + z*k**4 + v + t*k + r*k**2 and give z. -634 Express (-220*q + 375 - 375)*(-4 - 11 + 0)*(-2 + 1 + 3)*(3*q - q - 3 - q) as f + s*q**2 + w*q and give s. 6600 Rearrange 139*i + 96*i - 102*i + 157*i + 90*i to the form h*i + d and give h. 380 Express -6*f + 2669 - 5408 + 2373 as q*f + n and give q. -6 Rearrange 6*c**3 + 12 + 4*c - 6*c + 0*c**3 - 78 - 35 to the form v*c + x + j*c**2 + o*c**3 and give x. -101 Rearrange 0 - 2*v + 404702*v**2 - 6 + 2*v**3 - 404701*v**2 to the form t*v + h*v**3 + c*v**2 + w and give c. 1 Express (81 - 696*v + 76*v - 93)*(4 - 1 - 1) as c*v + s and give s. -24 Rearrange -134112*u + 8*u**3 + 67054*u + 67058*u - 149*u**2 to w*u + l*u**2 + o*u**3 + a and give o. 8 Express -10 + 2*k**2 + 0*k**2 + 1872*k**3 - 1853*k**3 - 11 - 12 in the form h + v*k**2 + d*k**3 + o*k and give d. 19 Express -4*g**2 + 8*g**2 - 2 + 40*g + 6*g**2 - 22*g as v + m*g**2 + i*g and give i. 18 Express r**2 - 504 - 5*r**3 - 14*r + 8*r**4 - 748 + 1253 in the form k*r**2 + a*r**3 + i + t*r**4 + q*r and give t. 8 Rearrange 112*z**2 - 33*z**3 - 130*z**2 + 1 + 287*z**2 + 37*z**3 to the form v*z**2 + p*z**3 + m*z + h and give m. 0 Express (4*d - 4*d - 2*d**2)*(-88 + 88 - 13*d) + 16 - 62*d**2 + 4*d**3 - 5*d**3 + 63*d**2 + 15*d in the form h*d**3 + g + u*d + l*d**2 and give g. 16 Rearrange (-2*k + k - k)*(-418*k - 757*k + 3 - 159*k) to the form i*k + b*k**2 + d and give b. 2668 Rearrange -2*t**4 - 32 + 104117*t**3 - 52060*t**3 + t**2 - t - 52061*t**3 to i*t**4 + x*t**3 + u*t**2 + m + k*t and give u. 1 Express u**2 + 0*u**2 - 689*u - 865 + 687*u as y*u + l*u**2 + i and give y. -2 Rearrange (-43 + 43 + 29*n)*(-1504*n - 199 + 757*n + 750*n) to the form d + t*n + s*n**2 and give s. 87 Express ((-6*d + 5*d + 54*d)*(-3*d - 2*d + 4*d) + d - d - 2*d**2)*(27 + 85 + 9 + 16) in the form f*d + r*d**2 + g and give g. 0 Rearrange (-3 + 5 - 3)*(13357*h**3 + 860149 - 860149) to c*h**2 + r + m*h**3 + x*h and give m. -13357 Express 8*c**2 - 10*c**2 + 54*c - 101*c - 205*c - 92*c in the form x + g*c + f*c**2 and give f. -2 Rearrange -2 - 2*n + 2 - 5*n - 12 + 12 + (n - 6*n + 4*n)*(9 + 11 - 10) + (-1 - 2 + 1)*(-2*n - n + n) - 2*n + 3*n + 0*n to m*n + p and give m. -12 Express (3*a + 3*a - 4*a)*((-5*a + 4*a + 2*a)*(-12 + 41 - 3) - 38 + 38 - 19*a + 3*a + 3*a - 7*a) in the form t + q*a**2 + m*a and give q. 12 Express (1 - 1 + 3*i)*(-3 + 3 + 2) + (4 - i - 4)*(-3409 + 3061 + 5030) as j*i + l and give j. -4676 Rearrange f**4 + 176*f**2 + 34*f**3 + 11 + 12 - 32*f**3 - 2*f**4 - 174*f**2 to the form r*f + s + q*f**4 + h*f**2 + t*f**3 and give q. -1 Express 1211*b - 1 - 1017*b + 3 in the form m*b + n and give m. 194 Express -51*f + 104*f - 50*f - 907*f**2 - 366*f**2 as j + l*f + q*f**2 and give q. -1273 Rearrange (1721*c**2 + 14170400*c - 14170400*c)*(1 - 1 + 5) to h*c + s + q*c**2 and give h. 0 Express 3390*f**2 + 170*f**4 - 112*f**4 - 3349*f**2 + (3 - 3 + 3*f)*(-1 + 1 - f**3) as a + t*f + y*f**4 + j*f**2 + u*f**3 and give j. 41 Express -2
{ "pile_set_name": "DM Mathematics" }
*t - 886. What is the first derivative of r(y) wrt y? 8186*y Suppose 2*c = 6*c - 180. Suppose -c = 16*p - 19*p. What is the second derivative of -5*g**5 + 64*g - 25*g + p*g**5 wrt g? 200*g**3 Let v(p) be the second derivative of 0 - 1/4*p**5 + 47*p + 14*p**3 + 0*p**4 + 0*p**2. What is the second derivative of v(j) wrt j? -30*j Suppose -14*l + 10*l + 288 = 0. What is the second derivative of 2*k**2 - l*k - 55*k**3 + 37*k**3 + 16*k**3 wrt k? -12*k + 4 Differentiate -3*r**4 - 4*r**3 + 9711 - 2809 + 65*r**4 - 2*r + 1803 + 31*r**4 wrt r. 372*r**3 - 12*r**2 - 2 Let v(z) be the second derivative of -68*z**3/3 + 21*z**2 - 66*z. Let m(c) = -133*c + 41. Let l(j) = 2*m(j) - 3*v(j). What is the derivative of l(s) wrt s? 142 Let n(l) be the second derivative of -l**7/630 - l**6/240 + 73*l**5/120 - 4*l**4 - l + 2. Let g(d) be the third derivative of n(d). Differentiate g(f) wrt f. -8*f - 3 Let n be 8/16 - (-13)/(-2). Let g(z) = z**3 + 8*z**2 + 13*z + 8. Let x be g(n). Differentiate -9*p**2 - 2*p**2 - 6 - 2*p**x - 11 with respect to p. -26*p Let q(d) = 8*d - 1. Let u be q(5). What is the second derivative of 170*b**5 + 3629*b**3 - 3629*b**3 - u*b wrt b? 3400*b**3 Let h(v) be the second derivative of 3*v**7/14 + 453*v**4/2 - 1082*v. What is the third derivative of h(p) wrt p? 540*p**2 Find the second derivative of 6207*u**5 + 1338*u**5 + 3014*u**5 + 55*u - 9254*u wrt u. 211180*u**3 Let s(g) be the third derivative of 0 - 39*g**2 + 0*g**6 - 3*g + 127/210*g**7 + 101/6*g**3 - 1/60*g**5 + 0*g**4. Find the third derivative of s(z) wrt z. 3048*z What is the third derivative of -c**3 + c + 35*c**5 + c**3 + 2*c**6 - 177*c**2 - 87*c**2 + 31*c**5 wrt c? 240*c**3 + 3960*c**2 What is the third derivative of -252*i**3 - 3138*i**5 + 474*i**3 - 103*i - 222*i**3 - 2*i**2 + 1065*i wrt i? -188280*i**2 Suppose 61*m - 69*m = -33*m. Let r(n) be the first derivative of -1/4*n**4 + m*n**2 + 0*n + 6*n**3 + 16. Find the third derivative of r(j) wrt j. -6 Suppose 2*j + 2*j = 20. Let k(l) = 13*l**3 - 5*l**2 - 2*l + 23. Let g(o) = -14*o**3 + 6*o**2 + o - 22. Let s(m) = j*g(m) + 6*k(m). Differentiate s(v) wrt v. 24*v**2 - 7 Let u(i) = i**2 - 16*i + 65. Let r be u(13). Find the second derivative of 2*m**3 + r*m - 4*m + m**3 + 3*m**2 - 1 wrt m. 18*m + 6 Let g(z) = -926*z**3 + 7*z**2 - 91*z + 2. Let w(s) = s**3 + 2*s**2 + 2*s + 1. Let p(b) = -g(b) + 2*w(b). Find the third derivative of p(l) wrt l. 5568 Let v(u) be the second derivative of -193/2*u**2 - 52 + 0*u**5 - 1/6*u**3 + 0*u**4 - 49/30*u**6 - 2*u. Differentiate v(x) wrt x. -196*x**3 - 1 Let l(n) be the third derivative of 97*n**5/30 + 5*n**4/24 - 638*n**3/3 - 878*n**2. Differentiate l(x) with respect to x. 388*x + 5 Suppose -4*j - 136 = 5*c - 4*c, -5*c - j - 699 = 0. Let r = -59 - c. Find the second derivative of -r - 8*u**2 + 81 - 9*u - u**2 wrt u. -18 Let l(f) = 13701*f + 9837. Let t(m) = 54820*m + 39346. Let z(o) = -9*l(o) + 2*t(o). Find the first derivative of z(d) wrt d. -13669 Suppose 8*n - 18*n + 20 = 0. What is the third derivative of 5*y**2 - 3*y**n - 13*y**2 - 12*y**2 + 61*y**3 - 17*y**3 wrt y? 264 Suppose -21*u + 48 = 3*u. Find the third derivative of -6*y + 107*y**5 - 22*y**2 + 9*y**2 + 10*y**u wrt y. 6420*y**2 Let i(y) be the third derivative of 85*y**6 + y**4/12 - 183*y**3 + y**2 - 391*y - 2. What is the second derivative of i(j) wrt j? 61200*j Let i be (-3)/(-57) + -17 + 1610/95. Let p(x) be the first derivative of 1/4*x**4 + i*x + 0*x**2 - 1/3*x**3 + 12. Find the third derivative of p(n) wrt n. 6 Let b(u) = -2*u**2 + 15*u - 14. Let i be b(6). What is the second derivative of 123*t + 12*t**i - 3*t**4 + 75*t + 56*t - 6*t**2 + 2*t**4 wrt t? 132*t**2 - 12 Let w = -108 - -120. Suppose -19 = -z + j + w, 4*j = 0. Find the first derivative of -8*d**3 - 25 - z + 97 wrt d. -24*d**2 Let c(l) = -l**2 - 5*l + 6. Let p be c(0). Differentiate 19 - 3*j**4 - 14*j**2 + 33 - p with respect to j. -12*j**3 - 28*j Find the first derivative of 527 - 3*h + 2*h**3 + 3*h - 655 - 1573*h**2 - 2072 wrt h. 6*h**2 - 3146*h Let w(g) be the first derivative of 30*g**7/7 - g**4/2 + 1079*g**3/3 - 2550. Find the third derivative of w(u) wrt u. 3600*u**3 - 12 Let h(m) be the second derivative of -101*m**4/2 - 5*m**3 + 7*m**2/2 - 14*m - 36. Find the second derivative of h(k) wrt k. -1212 What is the third derivative of -220*c**2 - 531*c**2 - 692*c**2 - 10*c**6 - 36*c**4 + 0*c**6 - 5*c**6 wrt c? -1800*c**3 - 864*c Let t(z) be the second derivative of -7*z**6/45 - 23*z**4/24 + 14*z**3/3 + z**2 - 27*z - 2. Let d(b) be the second derivative of t(b). Differentiate d(i) wrt i. -112*i Let y = 84 + -27. Let l(b) = 51*b - 863. Let i be l(17). What is the third derivative of -15*q**2 + 71*q**4 - 7*q**2 - y*q**i wrt q? 336*q Find the third derivative of -1578*s**3 + 9*s**2 - 8*s**2 + 491*s - 15*s**2 + 12*s**2 - 312*s**3 wrt s. -11340 What is the second derivative of 82526*x**4 - 72294*x**4 + 7810*x - 1236*x wrt x? 122784*x**2 Let l(k) = -52 - 6*k**2 + 12*k + k**2 + 3*k - 5*k. Let a(f) = 10*f**2 - 21*f + 105. Let u(i) = 6*a(i) + 13*l(i). Differentiate u(t) with respect to t. -10*t + 4 Let h(k) = 4*k**2 - 13*k. Let z(g) = -14*g**2 + 143*g - 3514. Let c(a) = -4*h(a) - z(a). What is the first derivative of c(t) wrt t? -4*t - 91 Suppose -z - 4*v - 9 = 0, -z - 4*z + v + 18 = 0. Find the second derivative of 10 - i**z - 4*i + 1113*i**2 - 544*i**2 - 555*i**2 wrt i. -6*i + 28 Let t = 44 + -6. Let i = 47 - t. Differentiate 5*b**2 + i*b**2 + 32 + 11*b**2 - 6 with respect to b. 50*b Let o(z) be the first derivative of -88/3*z**3 + 48 + 77/6*z**6 + 0*z**4 + 0*z**5 + 0*z**2 + 0*z. What is the third derivative of o(h) wrt h? 4620*h**2 Let n(w) be the second derivative of 0 + 0*w**5 - 30*w**2 + 13*w + 0*w**3 - 1/10*w**6 + 0*w**4. What is the first derivative of n(q) wrt q? -12*q**3 Let q = -8 + 113. What is the first derivative of 147*y**2 + q + 35580*y - 35580*y wrt y? 294*y Find the second derivative of -2*x**3 - 45816234*x**2 + 1 - 1 + 4791*x + 45814568*x**2 wrt x. -12*x - 3332 Let y(n) = n**3 + 5*n**2 - 7*n + 51. Let k be y(-7). What is the second derivative of -k*g**2 - 70*g**3 + 17*g**3 - 2 + 28*g**3 + 125*g wrt g? -150*g - 4 Let u(g) = 524*g**3 - 30*g**2 + 224*g - 3. Let a(q) = -1572*q**3 + 85*q**2 - 671*q + 9. Let k(f) = -6*a(f) - 17*u(f). Find the second derivative of k(z) wrt z. 3144*z Let g(k) be the second derivative of 30*k + 0 - 35*k**2 + 0*k**3 - 97/12*k**4. Find the first derivative of g(q) wrt q. -194*q Differentiate 214 + 7*d + 41*d**3 + 288 + 33 - 27 with respect to d. 123*d**2 + 7 Let o = -96 + 104. What is the second derivative of -o*j + 10*j**2 + 11 - 11 - 6*j wrt j? 20 Let o(h) be the second derivative of 24*h - 1 - 107/2*h**2 - 65/3*h**3. What is the derivative of o(a) wrt a? -130 What is the second derivative of 82*j**2 - 82*j**2 + 403*j**3 - 198*j + 79*j wrt j? 2418*j Let y(h) be the third derivative of -h**8/168 + 7*h**6/15 + h**4/12 + h**3/3 + 321*h**2 + h. Find the second derivative of y(w) wrt w. -40*w**3 + 336*w Let r = -234 + 235. Find the second derivative of 3*b**2 - 1 + 65*b - 935*b**3 + r + 931*b**3 wrt b. -24*b + 6 Find the second derivative of -8*k**4 + 240*k - 712*k - 571*k**2 + 505*k**2 wrt k. -96*k**2 - 132 Suppose 0 = -a - 5*d + 4 + 6, 0 = d + 1. Find the third derivative of 761*f - a*f**2 + 24*f**5 + 764*f - 1525*f wrt f. 1440*f**2 Let c(p) be the third derivative of 0*p + 0 - 6*p**4 - 59/3*p**3 + 33*p**2. What is the derivative of c(v) wrt v? -144 Let a(g) = -g**3 + 3447*g**2 - 13*g - 171. Let o(h) = 3*h**3 - 10343*h**2 + 42*h + 511. Let c(w) = 11*a(w) + 4*o(w). Find the second derivative of c(n) wrt n. 6*n - 6910 Find the second derivative of 103 + 192*j**2 - 10*j + 19*j**2 + 13778*j**3 + 6*j**5 - 13778*j**3 wrt j. 120*j**3 + 422 Let x(p) = -p**4 + p**2 + 1. Let g(s) = -6*s**4 - 263*s**2 - 5611. Let j(r) = -g(r) + 2*x(r). Find the first derivative of j(k) wrt k. 16*k**3 + 530*k Let g = -144 - -146. What is the second derivative of -41*r + 56*r**g - 3 + 68*r + 6 - 1 wrt r? 112 Suppose -u = 4*b - 3*b + 3, -2*u = -5*b - 50. Let w be b/(-1) + -7 + 3. Find the second derivative of -5*q**5 - 8*q - 14*q**w + 14*q**4 wrt q. -100*q**3 Find the second derivative of -44 + 150*y + 630*y**2 - 992*y**2 + 1516*y**2 + 1244*y**2 - 179*y wrt y. 4796 L
{ "pile_set_name": "DM Mathematics" }
? 6 Suppose 2*x = -5*i + 246, x = -3*i + 58 + 64. What is the tens digit of (-359)/(-8) - -1 - (-16)/x? 4 Suppose -2*x + 1186 = -1896. What is the tens digit of x? 4 Let w be 2*(-2)/(4/(-3)). Suppose 5*a - w*a = 174. What is the tens digit of a? 8 Suppose 2*c = -2*c - 3*b + 496, 472 = 4*c - 3*b. Let h = c - -7. What is the tens digit of h? 2 Let j(u) = 9*u**2 - 13*u - 8. What is the hundreds digit of j(-10)? 0 Let q = -72 + 39. Let n = q - -35. Suppose -3*z - 3*b + 56 = -n*z, -100 = -2*z - 3*b. What is the units digit of z? 4 Suppose -w = -m - 1311, -3*w - 5*m + 567 + 3398 = 0. What is the hundreds digit of w? 3 Suppose -4431 = -63*w + 1113. What is the units digit of w? 8 Suppose -2*h + 3*y = -697, -3*h + 2*y - 1354 = -7*h. What is the units digit of h? 1 Let y(r) = 7*r + 17. Let n = 75 + -41. Suppose -3*m = -5*u + 46, -4*m - n = -4*u - 3*m. What is the units digit of y(u)? 3 Let o(k) = 2*k**2 + 9*k - 5. What is the units digit of o(12)? 1 Suppose -938 = -9*g + 3778. What is the tens digit of g? 2 Suppose -7*a = -766 - 627. Suppose -d - a = 5*w - 7*w, 4*d = 2*w - 184. What is the units digit of w? 2 Let j = 48 - -311. What is the tens digit of j? 5 Let r = 398 + 220. What is the tens digit of r? 1 Let i(g) = 1570*g - 1. What is the units digit of i(1)? 9 Suppose 26*x - 20*x - 594 = 0. Suppose x = 2*n - 15. What is the tens digit of n? 5 Let o(a) = 5*a - 9. Let p be o(3). Suppose -347 + 1583 = p*i. What is the tens digit of i? 0 Let p(k) = -3*k**2 - 8*k + 8. Let m(n) = -n**2 + n + 1. Let i(u) = -4*m(u) + p(u). Let o be i(12). Suppose 0 = t - o - 22. What is the tens digit of t? 2 Suppose -44 = -s + c, -c + 47 = -5*s + 271. Suppose 0 = 4*h - 8*h + 20. Suppose 10*x = h*x + s. What is the units digit of x? 9 Suppose -4*t = -3*q - t - 6, -t = 3*q - 2. Suppose -a + w = 2*a - 11, q = -2*a + 3*w + 12. Let b(z) = 2*z**2 + z + 7. What is the units digit of b(a)? 8 Let u = 43 + -40. Suppose -132 = -u*n + 3*h, -n + 85 = n - 3*h. What is the units digit of n? 7 Suppose -8*s + 8240 = 2*a - 11*s, -3*a + 4*s + 12358 = 0. What is the thousands digit of a? 4 Let q = 23 + -26. What is the units digit of ((-84)/(-7))/(q/(-4))? 6 Suppose 6*d - 172 = -148. Let n = 294 - d. What is the units digit of n? 0 Suppose 0 = -x - 152 + 624. What is the units digit of x? 2 Suppose 2*n + 4*a - 2*a = -6, -5*a = -25. Let o(h) = 7*h**2 + 17*h + 9. Let b(x) = -x**2 - x + 1. Let w(z) = 5*b(z) + o(z). What is the tens digit of w(n)? 4 Suppose -d = 2*d + a - 14, 4*d - 5*a = -13. Suppose 5*j = d*j + 134. What is the tens digit of j? 6 Suppose 602*u = 587*u + 39975. What is the thousands digit of u? 2 Suppose 28*f - 86*f = -26274. What is the units digit of f? 3 Let j = -11 - -14. Let b be (-4)/(-3)*j - 2. Suppose b*n - 70 = -0*n. What is the units digit of n? 5 Suppose -3*q = -95 - 106. Let w = -333 + 395. Suppose -3*l + q + w = 0. What is the units digit of l? 3 Let b be (-2)/(-1) - 2/(-2). Let v be 1 + b/(9/6). Suppose 5*a = -v*s + 102, -s + 86 = 5*a - 2*s. What is the units digit of a? 8 Let k = -2267 - -5090. What is the units digit of k? 3 Let x be ((-4)/16)/(6/(-72)). Suppose -x*y + 466 = -161. What is the units digit of y? 9 Let p(x) = 4*x - 3. Let d be p(2). Suppose 90 = d*c - 280. What is the units digit of c? 4 Let n(w) = -3*w**2 - 5*w - 3. Let j be n(-2). What is the hundreds digit of (j + 3)*(-258)/4? 1 Let h(n) be the third derivative of -11*n**4/24 - 5*n**3 - 8*n**2. What is the tens digit of h(-9)? 6 Let z be ((-114)/(-5))/((-22)/(-55)). Let c = 15 + z. What is the units digit of c? 2 Let x(f) = 33*f**2 - 2*f - 10. Let k be x(-3). Suppose -149 = -2*z + k. What is the units digit of z? 1 Let j be (-2 - (-2 + 4)) + -7. Let u(i) = -i**2 - 14*i - 19. What is the units digit of u(j)? 4 Let c(w) = -w - 8. Let m be c(-10). Suppose 2*k + 2 = 2*g + 3*g, -16 = -m*k - 4*g. Suppose 118 = 4*d + 3*y, 3*d - d = -k*y + 64. What is the units digit of d? 8 Suppose 6*l + 47 = 173. What is the tens digit of l? 2 Suppose 32 = -5*g + 217. Suppose g = 2*i - 21. What is the units digit of i? 9 Let b(k) = 2*k + 2060*k**2 - 2059*k**2 + 11 + 84. What is the units digit of b(0)? 5 What is the tens digit of (30213/3)/9 - 6*1? 1 Suppose 216*h = 223*h - 9100. What is the tens digit of h? 0 What is the units digit of 24/(-14)*(718/(-4) + 1)? 6 What is the tens digit of (3/6 - 0)/(1/542)? 7 Suppose 23 = -2*z + 15. Let p be 9/(-24)*2*z. Suppose p*v = 2*h - 45, 23 = -5*h + 3*v + 131. What is the tens digit of h? 2 Let x(n) = 76*n**2 - 17*n - 6. What is the tens digit of x(2)? 6 Suppose 3*w = -3*p - 226 + 4903, 5*p - w = 7795. What is the hundreds digit of p? 5 Let o = 402 - 261. What is the hundreds digit of o? 1 Suppose 27*u = 266 + 733. What is the tens digit of u? 3 Let g = 0 + -3. Let d be ((-1)/g)/((-5)/30). What is the units digit of d/(-13) - 252/(-52)? 5 Let r = 174 - 118. Suppose 0*u + 3*u + r = w, -5*w = 3*u - 316. What is the tens digit of w? 6 Suppose -17*c + 7*c + 3350 = 0. What is the hundreds digit of c? 3 Suppose 7*l - 5*l = 3*i + 517, 3*l + 2*i - 782 = 0. What is the hundreds digit of l? 2 Let x(b) = -52*b + 47. What is the units digit of x(-7)? 1 Suppose -n = 4*n + 5. Let k be (1 - 2)*(n + -2). Suppose h + h = -k*z + 32, -2*h = 4. What is the units digit of z? 2 Let q(d) = d**3 + 16*d**2 - 11*d + 26. What is the hundreds digit of q(-8)? 6 Let v(u) = 11*u**3 + u**2 - u + 1. Let l = -8 + 13. Suppose 2*s - 9 = k, -l*k + 2*s - 15 = -2*s. What is the units digit of v(k)? 2 Let l = -917 + 1850. What is the tens digit of l? 3 Let j = 11 + -8. Suppose 2*v = 4*v - 8, -4*v + 70 = -j*s. Let b = -7 - s. What is the tens digit of b? 1 Let x(m) = -m**3 + 16*m**2 - 15*m + 15. Let b be x(15). Suppose -3*w + 116 = 4*o - 52, 0 = 5*o + b. What is the units digit of w? 0 Let p = 78 - 141. Let d = -19 - p. What is the units digit of d? 4 Let b(l) = -l + 2. Let i = 14 - 12. Let a be b(i). Suppose a = -5*z + 14 + 46. What is the units digit of z? 2 Suppose 13*f = -12*f + 11975. What is the hundreds digit of f? 4 What is the thousands digit of 2/(-6) - (0 - (-18906)/(-18))? 1 Let i be (-2 - -9) + 5 + -2. Let s(u) = -u**3 + 10*u**2. Let k be s(i). Suppose -4*h + 44 = -k*h. What is the tens digit of h? 1 Suppose -i + 5*i - 28 = 0. Suppose 2*v - i*v = 105. What is the units digit of (v/9)/(1/(-9))? 1 Let p = 198 - 240. Let o(c) = 3*c - 6. Let s be o(5). What is the units digit of (-2 - 1)/(s/p)? 4 Let m be (-15)/(-4) - 1/(-4). Suppose 44 = m*h - 144. Suppose -4*o + 29 + h = 0. What is the units digit of o? 9 Suppose 0 = -5*v - 5*d + 472 + 1373, 0 = -4*v + d + 1456. What is the units digit of v? 5 Let h(p) = -3*p - 3*p**3 + 3*p**3 + 0 + p**3 + 1. Let k be h(2). What is the units digit of k*(3 + (0 - 2))? 3 Suppose 0 = -10*l - 2265 + 5325. What is the tens digit of l? 0 Let x(i) be the third derivative of i**4/24 + 5*i**3/3 - 13*i**2. Let q be x(-5). Suppose g - 4*g + 58 = 4*d, 0 = -3*g + q*d + 76. What is the units digit of g? 2 Let u(f) = f**3 - 26*f**2 + 24*f + 23. What is the hundreds digit of u(26)? 6 Let k be ((-4)/(-5) + -2)/((-6)/20). Suppose 0 = 2*m + 3*m + k*h - 474, -m + 86 = 3*h. What is the tens digit of m? 9 Let b(a) = -3*a - 7. Let t be b(-4). Suppose 246 = 2*n - 2*u, 3*n - u - 355 = -t*u. What is the tens digit of n? 2 Suppose -4*y - 5*d + 1432 = -d, 3*d - 364 = -y. What is the tens digit of y? 5 Let h be -4 + -5*(-12)/10. Suppose h*v - 4*m = -26 + 76, -2*v + 71 = 3*m. What is the units digit of v? 1 Let o = -63 + 58. What is the tens digit of -1 - (-1044)/(-1 - o)? 6 Suppose 3*f - u + 249 = 0, -5*f - u - 181 - 242 = 0. Let q = 48 + f. What is the units digit of (-441)/q + 6/8? 3 Let o(n) = -n**3 - 10*n**2 - 4*n + 2. Let b be o(-9). Let c be 4/(-5)*(-135)/(-9). Let x = c - b. What is the tens digit of x? 3 Let w = -15 - 0. What is the units digit of 8/(-20) + (-1671)/w + -3? 8 Let v(d) = d - 7. Let x(r) = -r**2 + r + 1. Let m(k) = v(k) - x(k). What is the hundreds digit of m(14)? 1 Let k(v) = 2*v**2 + 3*v - 1. Suppose 162 = -6*m + 36. Let u = m - -17. What is the tens digit of k(u)? 1 Let v(x) = 3*x**2 - 6*x + 16. Let t be v(5). Suppose t = 3*j - 182. What is the tens digit of j? 8 Let u = 0 + 10. Suppose -9*r - 141 = -u*r. What is the tens digit of r? 4 Suppose 0 = 6*v - 2*v - 8. Suppose -6
{ "pile_set_name": "DM Mathematics" }
-2099, -2388, -2429, -2222? -1767 What is next in 43224, 43142, 43008, 42828, 42608? 42354 What comes next: 11, -30, -91, -172? -273 What comes next: 3778, 30067, 101368, 240187, 469030, 810403? 1286812 What is the next term in 23899, 48048, 72361, 96838, 121479, 146284? 171253 What is next in 38653163, 77306327, 115959491, 154612655, 193265819? 231918983 What comes next: -508939, -1017933, -1526927, -2035921? -2544915 What is the next term in -2800, 5809, 29176, 74681, 149704, 261625, 417824, 625681? 892576 What is next in 28127, 28448, 28767, 29084, 29399, 29712, 30023? 30332 What is next in 17272, 33349, 47016, 57067, 62296, 61497? 53464 What is next in -419576, -419594, -419602, -419600, -419588? -419566 What comes next: -716233, -1432383, -2148447, -2864425? -3580317 What is next in 2293, 3462, 4631, 5800, 6969? 8138 What is the next term in -221653, -221644, -221635, -221626, -221617? -221608 What comes next: 483197, 3865685, 13046727, 30925601, 60401585, 104373957, 165741995? 247404977 What comes next: -8475723, -8475738, -8475755, -8475774, -8475795, -8475818? -8475843 What is the next term in -127836, -511359, -1150568, -2045463? -3196044 What comes next: -4464, -4374, -4328, -4332, -4392, -4514, -4704? -4968 What comes next: -450, -1124, -2016, -3114, -4406, -5880? -7524 What is next in -218517, -218509, -218499, -218487? -218473 What is the next term in 58844, 58901, 58956, 59009? 59060 What is next in 21495, 43667, 65839, 88011, 110183? 132355 What comes next: -1390, -5505, -12328, -21829, -33978, -48745, -66100, -86013? -108454 What comes next: -22477, -19614, -16751? -13888 What is the next term in -73046, -73061, -73086, -73121? -73166 What is next in -25847871, -51695742, -77543613? -103391484 What comes next: 13399, 13922, 14465, 15034, 15635, 16274, 16957? 17690 What is the next term in 6362, 12428, 18506, 24596, 30698, 36812, 42938? 49076 What is the next term in -12992, -12837, -12600, -12281, -11880? -11397 What is the next term in 1010, 1939, 2862, 3791, 4738, 5715? 6734 What comes next: -838238477, -1676476953, -2514715429, -3352953905, -4191192381, -5029430857? -5867669333 What is next in -2937, -5439, -7623, -9489? -11037 What is next in 4681533, 18726137, 42133807, 74904543, 117038345, 168535213, 229395147? 299618147 What is the next term in -94603967, -94603958, -94603945, -94603928, -94603907, -94603882, -94603853? -94603820 What comes next: 74788, 146812, 218824, 290818, 362788, 434728, 506632? 578494 What is the next term in 17144, 17151, 17148, 17129, 17088? 17019 What is the next term in -740728524, -740728525, -740728526? -740728527 What comes next: 2731, -2581, -11435, -23831, -39769, -59249? -82271 What is next in 591, 1125, 2605, 5505, 10299, 17461, 27465? 40785 What comes next: 45378, 90852, 136314, 181758, 227178, 272568, 317922? 363234 What comes next: -2540, -22387, -76266, -181193, -354184, -612255? -972422 What comes next: 1560420, 6241653, 14043690, 24966525, 39010152, 56174565? 76459758 What is next in 56113, 83930, 111747, 139564? 167381 What comes next: 8494, 16911, 25176, 33211, 40938, 48279? 55156 What is next in -2266888, -2266864, -2266832, -2266798, -2266768? -2266748 What comes next: -8880, -17744, -26614, -35490, -44372, -53260, -62154? -71054 What is next in 38496, 38002, 37178, 36024? 34540 What is the next term in 840901, 1681052, 2521201, 3361348, 4201493, 5041636? 5881777 What is the next term in 23409330, 93637327, 210683990, 374549319? 585233314 What is the next term in -4443124, -8886089, -13329054? -17772019 What comes next: 842033, 841804, 841575, 841346, 841117? 840888 What comes next: -1802, -1792, -1748, -1682, -1606, -1532? -1472 What comes next: -18099789, -36199578, -54299367, -72399156? -90498945 What is next in 860, 2906, 6184, 10688, 16412? 23350 What is next in -184396, -184402, -184374, -184294, -184144, -183906, -183562? -183094 What is next in 22484648, 44969295, 67453942, 89938589, 112423236, 134907883? 157392530 What is next in 45916, 44623, 42480, 39493, 35668, 31011? 25528 What is next in 9634158, 19268313, 28902468, 38536623, 48170778? 57804933 What is the next term in 333200, 333120, 333040, 332966, 332904, 332860? 332840 What is next in -278, -8149, -29510, -71105, -139678, -241973, -384734? -574705 What is the next term in 30080, 58985, 87890? 116795 What comes next: 4194693, 4194692, 4194691, 4194690, 4194689? 4194688 What is the next term in 31058, 123107, 276144, 490169? 765182 What comes next: -1197, -2261, -3135, -3741, -4001, -3837, -3171, -1925? -21 What is next in 29489, 29338, 29099, 28784, 28405, 27974, 27503, 27004? 26489 What comes next: -30521160, -30521159, -30521158, -30521157? -30521156 What comes next: -1433, -5557, -12427, -22043, -34405? -49513 What comes next: 344, 2327, 5636, 10283, 16280? 23639 What comes next: -2234, -4798, -7586, -10598, -13834? -17294 What is the next term in -15830, -63136, -141960, -252284, -394090, -567360? -772076 What is the next term in -94760, -95112, -95464? -95816 What comes next: 54271, 54100, 53903, 53668, 53383, 53036? 52615 What comes next: -251119, -1004507, -2260153, -4018057, -6278219, -9040639, -12305317? -16072253 What is next in 5787, 14868, 23949, 33030, 42111, 51192? 60273 What is next in -63306982, -126613962, -189920942? -253227922 What comes next: -773, -852, 285, 3166, 8319, 16272, 27553? 42690 What is next in -75, -196, -297, -366, -391, -360, -261? -82 What is next in 1374100, 2748054, 4122008, 5495962, 6869916, 8243870? 9617824 What is next in 200646, 401283, 601900, 802491, 1003050, 1203571, 1404048, 1604475? 1804846 What is the next term in -149556, -165729, -181904, -198081, -214260? -230441 What is the next term in 344, 1747, 3808, 6527? 9904 What is next in 736742, 1473078, 2209416, 2945756, 3682098, 4418442, 5154788? 5891136 What comes next: -7139, -37918, -89217, -161036? -253375 What is next in 15472, 15450, 15428, 15406? 15384 What comes next: -422962, -845921, -1268880, -1691839, -2114798, -2537757? -2960716 What comes next: -3205, -6807, -11197, -16771, -23925? -33055 What is the next term in 45776, 45676, 45578, 45482, 45388, 45296? 45206 What is the next term in 23296, 92967, 209036, 371503, 580368, 835631, 1137292? 1485351 What is next in 475436, 1901426, 4278082, 7605410, 11883416? 17112106 What is the next term in -25054534, -25054533, -25054532, -25054531, -25054530, -25054529? -25054528 What comes next: 1300, 4938, 10922, 19246, 29904, 42890, 58198? 75822 What is the next term in 5826935, 5826940, 5826947, 5826956, 5826967, 5826980? 5826995 What is next in 5094, 8880, 12666, 16452? 20238 What is next in -69296, -69650, -70004, -70358, -70712, -71066? -71420 What is next in 39746, 39592, 39436, 39278? 39118 What is next in 1123, 4125, 8977, 15679? 24231 What is the next term in -120, -332, -722, -1368, -2348, -3740? -5622 What is the next term in 31, 124, 227, 298, 295, 176, -101, -578? -1297 What is next in 56076224, 56076225, 56076226? 56076227 What comes next: 28486, 54712, 80938, 107164, 133390? 159616 What is next in 2581, 5246, 7987, 10798, 13673, 16606, 19591, 22622? 25693 What is the next term in 21069113, 42138233, 63207357, 84276485? 105345617 What comes next: -73437390, -146874779, -220312168? -293749557 What comes next: 157574, 315010, 472444, 629876, 787306, 944734, 1102160? 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{ "pile_set_name": "DM Mathematics" }
z/(-12)). Let u be (1 - 2) + c/(-7). Put u, 0.1, 3 in increasing order. u, 0.1, 3 Let h = -0.4 - -0.9. Let u = 233/5 + -47. Sort 2/19, h, u in descending order. h, 2/19, u Let j = -9 + 13. Put 0, j, 1 in ascending order. 0, 1, j Let b = -11 + 13. Put -0.5, b, 0.4 in descending order. b, 0.4, -0.5 Let d = 5 - 5.08. Let y = 1.92 - d. Let a = y - 2.4. Sort -5, 3, a. -5, a, 3 Let d = -1.5 - -2.4. Let l = 0.7 - d. Put 3, -5, l in descending order. 3, l, -5 Suppose -18*z + 65 = -23*z. Sort 0.3, z, -4 in increasing order. z, -4, 0.3 Let z = 13 - 15. Sort 1, 4, 5, z in descending order. 5, 4, 1, z Let t be (-29)/14 - (5 + -3). Let w = 9/2 + t. Sort 5, 0.4, w in ascending order. 0.4, w, 5 Let c(g) = -g**3 + 3*g**2 + 2*g - 1. Let f = 4 + -1. Let h be c(f). Let r be (3/(-1))/(-3) + 2. Sort -5, r, h in ascending order. -5, r, h Let f = 187 + -192. Let q = 3 + -4. Sort f, -2, q in decreasing order. q, -2, f Suppose m - z + 8 = 2, -5*m = 5*z - 10. Let o(h) = 3*h - 40. Let q be o(16). Put m, q, 5 in descending order. q, 5, m Suppose 0*c = -4*c + 12. Suppose -16*v + 18*v + 10 = 0. Put -1, v, c in descending order. c, -1, v Let x = -23 + 18. Sort x, 0, -7, 4 in ascending order. -7, x, 0, 4 Let h = -0.6 + 2.6. Put h, 3, -2/19, -4 in decreasing order. 3, h, -2/19, -4 Suppose 2*g - 13 = i, 0 = -2*i - g + 1 - 7. Sort 0.5, i, 5, 2. i, 0.5, 2, 5 Let f be (87/(-58))/((-21)/(-8)). Put -2, f, 1/4 in decreasing order. 1/4, f, -2 Suppose -4*r + 7 = -3*u, -5*u - 3*r + 21 = -2*u. Sort 1, 11, u in ascending order. 1, u, 11 Let h be (-1)/(-4) - 145/20. Let o be (h/(-5))/(-1) + 1. Let n = -7 - -3. Put 1, o, n in increasing order. n, o, 1 Let m be (3/(-54))/(534/(-1704)). Let n = m - -4/89. Sort -4, -2/9, n in increasing order. -4, -2/9, n Let r(j) = j**2 - j + 1. Let u be r(1). Suppose -4*z + 0*d = 4*d, -d + 16 = -3*z. Let q(l) = -5*l + 19. Let n be q(3). Sort u, n, z in descending order. n, u, z Let x be (-1)/21*-15 - 1. Let g(s) = -s + 1. Let v be g(1). Sort v, -1/6, x in decreasing order. v, -1/6, x Let s = 0 - 0.2. Let z = -8 + 9. Let w = -2.3 + 0.3. Sort s, z, w. w, s, z Let c be (-1 - 4/(-2))*0. Let o = -12 + 13. Let s be ((-1 - o) + 1)*5. Put c, 5, s in descending order. 5, c, s Let v(j) = j + 1. Let g be v(3). Suppose 3*l + 4*d = -0*d + 19, 3*d - 28 = -5*l. Suppose 3*p = q + l, 0 = -4*q + 2*p - 36 + 16. Put -3, g, q in ascending order. q, -3, g Let n = -2 + -1. Let v = 7 - 12. Let a be 1 + (0 - 1) - 1/2. Sort a, v, n. v, n, a Let a = -4.9 - -5.2. Sort a, 5, -2/5, -2 in decreasing order. 5, a, -2/5, -2 Let r be 0 - (0 - 6) - 2. Suppose 0 = -0*q + 2*q + r. Suppose -2*j - 3*p + 5 = -4*j, -2*p + 2 = 0. Sort q, -3, j in ascending order. -3, q, j Let l = 9 - 3. Let z = 87 + -88. Let o be (l/z)/((-9)/(-2)). Sort -2, 0.2, o. -2, o, 0.2 Let w be (-6)/(-8)*(-16)/(-18). Let u = -0.014 + 5.314. Let g = u - 5. Sort g, w, -5. -5, g, w Let c be 4 - (2 - (-1 + 2)). Let b be 4/2 - c/1. Let m(a) = 4*a. Let r be m(0). Sort r, b, 1 in decreasing order. 1, r, b Let m = 16 + -15.1. Let i = m - 1.3. Let w = -236/5 - -47. Put w, 0.2, i in increasing order. i, w, 0.2 Let z be -3 - -7 - (-2 + 5). Sort z, -5, -2 in decreasing order. z, -2, -5 Suppose -8*p - 41 = -2*f - 3*p, -3*p - 48 = -3*f. Suppose 0 = 3*h - f + 4. Suppose i + 3*b - 8 = 0, -i - 3*b + b = -6. Put -2, i, h in decreasing order. h, i, -2 Let c(y) = -y**2 - 4*y - 1. Let u be c(-4). Let x(z) = -z**2 - 8*z - 7. Let g be x(-7). Let m be g/((2*u)/2). Sort 0.2, -3/5, m. -3/5, m, 0.2 Let m(c) = -2*c**3 + 5*c**2 + c + 5. Let v(d) = 5*d**3 - 10*d**2 - 2*d - 11. Let z(w) = -7*m(w) - 3*v(w). Let g be z(-5). Put 1, -4, g in decreasing order. g, 1, -4 Suppose -5*h = 5*q - 35, -4*q = h - 4*h + 7. Let z(p) = -5*p**3 - 2*p**2 - 2*p - 1. Let u be z(-1). Suppose -u*i = -5 + 25. Sort h, i, 3 in decreasing order. h, 3, i Let r be 2/(-20)*(-30)/4. Put 0, r, 21, 3/2 in descending order. 21, 3/2, r, 0 Let m be 4/56 - 3/(-6). Sort 3, m, 12 in increasing order. m, 3, 12 Let u(p) = 2*p - 1. Let x be u(0). Sort x, 4, -5 in increasing order. -5, x, 4 Let z(w) = 2*w**2 - w - 1. Let s be z(-2). Suppose 0 = 5*f - 4 + s. Put 0, f, 5 in descending order. 5, 0, f Suppose 46 = -3*q + 8*q + v, -3*q - v = -26. Suppose -l = l + q. Let b be (0 - -1) + 6/3. Sort l, b, -1 in descending order. b, -1, l Suppose -3*v - 4*w = 1 - 9, 2*w = -2. Let a be (v + 0 + 0)/(-7). Let t = -3 - -7. Sort 5, t, a in increasing order. a, t, 5 Let o be (17/(-3))/(3/(-9)). Let b = 15 - o. Sort 1, -4, b in descending order. 1, b, -4 Let q = 0.5 - 0.1. Let y(w) be the third derivative of -w**4/24 + w**3/3 + 3*w**2. Let v be y(6). Sort q, v, 0 in decreasing order. q, 0, v Suppose 12 = 21*c - 17*c. Let w(h) = h**3 + 5*h**2 + 4*h. Let q be w(-3). Sort q, c, -1 in descending order. q, c, -1 Let v be ((-2)/(-3))/((-4)/18). Put v, -1, -2 in descending order. -1, -2, v Let i(q) = 2*q - 9. Suppose -f - f + 12 = 0. Let u be i(f). Put -4, u, 4 in ascending order. -4, u, 4 Let y = -3 - -2. Let d = -7 + 10. Put 2/7, y, d in ascending order. y, 2/7, d Let g(a) = -a**3 + 4*a**2 - 3*a + 1. Let q be g(2). Let z be 1*(3 + -4) - -7. Suppose 2*s + 0*s + z = 0. Put s, 0, q in descending order. q, 0, s Suppose 5*k - 2 = 8. Sort k, 4, 5 in increasing order. k, 4, 5 Let k(f) = -f + 8. Let o be k(7). Let m be (1 - (-5 + o))/(-1). Put m, -0.1, 4 in increasing order. m, -0.1, 4 Suppose -4 = 4*a + 8. Let o = 69 + -65. Put a, o, -1 in ascending order. a, -1, o Suppose 0 = 2*m - 4*m - 2*h + 6, 0 = 2*m - 2*h + 10. Let p = 19 - 18.6. Let n be (-6)/(-8)*(-2)/(-6). Sort p, m, n. m, n, p Let y(j) = -4*j + 1. Let b be y(1). Suppose -f - 32*f = -33. Sort 5, f, b. b, f, 5 Let s be (-4)/(-8) + 3/(-2). Put 0, 3, s in decreasing order. 3, 0, s Let u = -4 - -6. Let p(n) be the second derivative of -n**5/10 + n**4/3 - n**3/2 + n**2 + n. Let g be p(u). Sort -2, g, -5. -5, g, -2 Let p be (-2)/39*(0 + -3). Let z be (-1679)/2398 - 4/(-22). Let v = -2/109 - z. Sort p, v, 3 in descending order. 3, v, p Let o = -0.18 + -1.12. Let j = o + 0.8. Let l = -19 + 97/5. Put l, j, -0.1 in increasing order. j, -0.1, l Suppose -2*r = -4*p + 9 + 7, -19 = -3*p - 2*r. Sort -0.3, -4, p in ascending order. -4, -0.3, p Suppose 5*d - 80 = -3*o, d - o = 4*o - 12. Let q be (-2)/(-1)*1/d. Put q, 3, 1 in decreasing order. 3, 1, q Let c = -95 + 95.06. Sort -1/5, c, -5, 4. -5, -1/5, c, 4 Let z = -0.76 + 1.36. Sort -2/3, 0.1, z, -5 in descending order. z, 0.1, -2/3, -5 Let b be (-4)/((-8)/(-10)) + 1. Sort 3, b, -2 in decreasing order. 3, -2, b Let h = -0.05 - 9.95. Put 2/11, h, -0.5 in decreasing order. 2/11, -0.5, h Let t = 17 - 22. Put t, 4, -2 in decreasing order. 4, -2, t Let l(g) = -3*g + 13. Let p be l(5). Put -22, -5, -3, p in ascending order. -22, -5, -3, p Let k = -0.1 - 3.9. Suppose 12*h = -2*i + 11*h - 11, -5*h = -2*i - 5. Sort -2, k, i in ascending order. i, k, -2 Suppose -2*p - 2 = -0*p - 2*h, -p = 3*h - 7. Sort 5, p, 3. p, 3, 5 Let n = -31/42 - -1/14. Sort n, 1/2, 0. n, 0, 1/2 Let t = -57/14 + 7/2. Put t, 1, -0.4 in decreasing order. 1, -0.4, t Suppose 12 = 7*h - h. Let t = 2 - 5. Put 0, h, t in decreasing order. h, 0, t Let l be (8 + (-105)/10)*(-6)/(-5). Sort l, -2, 0, 7 in descending order. 7, 0, -2, l Let g(m) = -m**3 - 6*m**2 - 7*m - 9. Let b be g(-5). Put -4, -3, 3, b in increasing order. -4, -3, b, 3 Let c(d) = -3*d - 3. Let s be c(-3). Suppose u = s*u + 2*o - 7, -3*u = 4*o - 7. Sort u, 5, 0 in decreasing order. 5, u, 0 Suppose 0 = 5*c + 20, 3*c + 32 = m + 4*m. Sort -0.4, -1, m in ascending order. -1, -0.4, m Let c = -18 - -15. Let b = c - -7. Put b, -2, -6 in increasing order. -6, -2, b Suppose 0*b - 2*b + 24 = -4*v, 3*v + 19 = 2*b. Let a(x) = x**3 - 2*x**2 - x + 2. Let m be a(2). Sort v, -6, m in increasing order. -6, v, m Suppose 7*y - 15 = 2*y - 2*b, -3*y = -2*b - 25. Suppose 0 = -l + 2*w - 2 + 14, -4*l = -2*w - 18. Sort y, 3, l. l, 3, y Let g be -17*2/28 + 2/(-7). Sort 1/3, 3/7, -1, g in decreasing order. 3/7, 1/3, -1, g Let r = -603/5 - -120. Let b = -11/35 - r. Put -3, 5, b in decreasing order. 5, b, -3 Let u = -9 - -7. Let w = 7 + u. Suppose 0 = 4*c - 5*l - 33 - 8, 2*c + 3*l + 7 = 0. Sort c, w, -2 in decreasing order. w, c, -2 Let p = 32 + -23.3. Let m = 9 - p. Sort -1, -5/2, m in descending order. m, -1, -5/2 Let b = -29 + 41.5. Let
{ "pile_set_name": "DM Mathematics" }
- (9 + 10 - 18). -3 -9 + -22 + (-7 - -31) -7 What is -30 - -3 - (1 + 2 + 13 - 11)? -32 What is (-37 - -14 - -16) + -33 + 13? -27 (-26 - (-4 + -14)) + 6 -2 Calculate (0 - (8 + -25) - 9) + (-1 - -4). 11 (2 - -1) + 112 + -106 9 28 + -54 - (-68 - -11) 31 What is 20 - (9 - 10 - -13)? 8 What is the value of -3 + (-3 - -2) + -63 + 49? -18 Evaluate 0 - (-6 + -1) - ((10 - -24) + -27). 0 What is (2 + -25 - (-95 + 79)) + -3 + -2? -12 What is 12 - (-27 - (-39 + 23))? 23 Evaluate (0 - -22) + 6 + (21 - 28). 21 What is the value of 4 - ((3 + -8 - 2) + (21 - 21))? 11 What is the value of (-15 - (0 + 3)) + 15 + (-16 - -11)? -8 Calculate 47 + -88 - (-5 - (12 - -2)). -22 Evaluate -1 + 6 - (8 + 3 + -3). -3 -4 - ((11 - 23) + 11) -3 Calculate 6 + -1 + (-30 + -3 + -14 - -19). -23 What is the value of 10 - 22 - -8 - (-1 + 0 - -2)? -5 Evaluate 11 - -6 - (-1 - -14). 4 What is the value of (4 - -2 - 3) + 13 + 2? 18 What is 11 - (15 + -27 + 16)? 7 What is the value of 35 + (33 - 2 - 35)? 31 Calculate 10 + -10 + -16 + 3. -13 What is the value of -3 + -1 + 0 + -1 + -143 + 141? -7 Evaluate (-6 + 8 - -13) + -9. 6 What is the value of (-58 - -71) + (2 - (8 + 0))? 7 20 - (-34 - (15 + -43)) 26 6 + (15 - (-1 + 1) - (-7 - -11)) 17 What is 3 + 12 - (18 + 4)? -7 What is -161 - -173 - (1 - (3 - -11) - -4)? 21 What is the value of -10 - (24 - 22) - (9 + -1)? -20 What is the value of -2 + 4 + (-1 - -6 - 6) + 2? 3 What is -7 - 0 - (30 + (-22 - -34) + -38)? -11 What is 10 - 0 - ((-7 - -16) + -8 - 1)? 10 -14 + -1 + 2 + 1 + -3 + 4 -11 -49 + 50 - (25 - 8) -16 5 - (3 + (11 - (1 + 9))) 1 -1 - -4 - (1 + (7 - 27) - -6) 16 Calculate -98 + 117 - (20 + 2). -3 What is 1 - -43 - (62 - (65 - 19))? 28 22 + 1 - (-9 - (-1 + -16 + 14)) 29 (-16 - (-25 + 4)) + -20 -15 Evaluate 54 + -49 + -28 + (2 - 1). -22 Evaluate (5 - (2 - 4)) + (-7 - (4 + 5)). -9 What is the value of 2 - -3 - (-7 - (-2 + -4 + 10))? 16 Calculate 15 + -6 + -1 + -1 + 11. 18 -17 + 39 + -39 + 3 + 0 -14 What is (27 - 3) + -13 + (-10 - -11)? 12 Evaluate 252 - 247 - (12 + 4 + 2). -13 Evaluate 19 + 30 + -46 + -19. -16 Calculate 0 + 19 + -9 + (17 - 5 - 8). 14 Evaluate (13 - -6 - 2) + (-11 - -1). 7 1 - 7 - (7 + -7 - -3) - -5 -4 Evaluate -23 + (-19 + 30 - -5). -7 -7 + (16 + 10 - -3) - (7 + -1) 16 Calculate (-1 - (-3 + 11)) + -35 + 69. 25 Calculate -90 + 72 - (-22 + -4). 8 Calculate 0 + 21 - (125 - 91). -13 Calculate -52 + -10 + -13 + 31 + 10. -34 What is (-11 - -1) + (-16 - -12 - (8 - 5))? -17 Calculate 0 + -8 - (-14 + 2 - (40 + -44)). 0 Evaluate 38 + -38 - (8 - -3). -11 -9 - (-37 - (5 + -21)) 12 Calculate -317 + 361 - (0 - -27). 17 What is the value of (5 - (21 + -17)) + -8? -7 Calculate -25 + 10 + 4 - 38 - -12. -37 Calculate 5 - (6 + -11 - (-2 + 2 + -5)). 5 Calculate (1 - -23) + -10 - 12. 2 -3 + 5 + -8 + -27 + 38 5 Calculate 2 - 22 - -15 - (1 + (-7 - -2)). -1 Evaluate 8 - ((-51 - -53) + 1 + 3). 2 Evaluate 1 - (-8 + -2) - (-5 - -15). 1 What is -18 + -2 - (-323 - -305)? -2 What is the value of (-4 - -36) + (0 - 7) + 0? 25 What is 0 + -2 + -5 - (-1 + 5)? -11 (-27 - -18 - 8 - -4) + 48 35 -21 - (-46 + 21) - (-1 + 0 - -6) -1 What is the value of -1 + -29 + (0 - -14)? -16 Evaluate -5 - (-9 + (-10 - -8 - -7 - 2)). 1 Calculate (-25 - -4) + (73 - 61). -9 (32 - 29 - (-1 - -2 - -8)) + 14 8 (111 - (50 + 52)) + (0 - -1) + 4 14 -20 + (27 - (-30 + 57)) -20 What is (3 - 1) + -5 - (8 + (-1 - 14))? 4 Calculate (25 - 18 - 24) + (1 - -8) + -6. -14 Evaluate 3 + (0 - (1 + 9)). -7 Calculate -3 + 42 - (27 + 16). -4 -7 + -7 + 13 - 6 -7 Calculate 6 - (12 + -4 + 2 - 7). 3 Evaluate (-13 - (-4 - 0) - -5 - -2) + -4. -6 What is -1 - (-6 - (-2 - -6 - (3 + 1)))? 5 What is the value of 2 + (5 - 10) + -7? -10 Evaluate (-9 - (-12 - (-10 - 8))) + 4. -11 What is -30 + 39 + -10 + 28 + -7? 20 Calculate (15 - 17 - -16) + -15. -1 Evaluate -1 - (-15 - (-33 + 32 - (1 + 1))). 11 Calculate -16 + (40 - -6) + -8. 22 Calculate 0 + -15 - (0 + -6 + 7) - -3. -13 What is (-3 - 2) + (23 - 27)? -9 What is -4 + 10 + (-30 + -6 - -10)? -20 Calculate 316 + -304 - (-13 + 3). 22 Evaluate -13 + -10 + (9 - (-1 - -3)). -16 Calculate (-12 - -1) + ((11 - -2) + 1 - 12). -9 Calculate (0 - -5) + 5 + -24 + (9 - 24). -29 Evaluate 34 - -5 - 12 - 20. 7 Evaluate -9 - -36 - ((16 - 10) + 12). 9 Evaluate (-20 - (-9 + 0)) + (16 - 3). 2 -2 + (5 - -1) + (6 - 0) + 4 14 Evaluate 7 - (0 - (-4 + -9)). -6 Calculate 4 + (-14 - -5 - 5). -10 What is 13 + (-11 + 19 - 36)? -15 207 + -195 - (4 + -30) 38 Evaluate -18 - (35 - (-5 + 52)). -6 What is -4 + -2 + 1 + 23 + -15 + 5? 8 What is 7 + -7 - (37 - 38)? 1 What is 0 + (21 - 4) + -20? -3 -1 + (7 - (28 - -1) - -2) + 5 -16 Calculate 6 - (0 - 16 - (13 + -17)). 18 What is the value of -3 + (-10 - -2 - (39 + -48))? -2 What is -10 + (28 + -4 - 7) - 20? -13 Evaluate 13 - (5 - 6) - (22 - 13). 5 Calculate 0 + (1 - 0) - (20 + -31 + 14). -2 18 + (-18 - (-39 + 23)) 16 What is 2 + -2 + 0 + 5 + 0 + -1? 4 -3 + 1 + 55 + -17 + -23 13 What is -5 - ((17 - 19) + (2 - -6) - -5)? -16 What is the value of -37 + (84 - 40) + (1 - -16)? 24 Evaluate (-2 - 1 - (13 - 21)) + -3 + 8. 10 What is the value of 0 + 4 + (-5 + 5 - -1)? 5 Evaluate -1 + -30 + 2 - (-5 + 1 + -3). -22 What is the value of 47 + -19 - 13 - (2 + 2)? 11 Calculate -9 + (-10 - (2 + -10)) + 4 + 22. 15 What is 14 - (-20 + 13 + 42)? -21 Calculate 28 + -9 + -1 + (5 - 19). 4 -2 + 5 + (4 + 10 - 6 - 10) 1 Evaluate -2 - 35 - (-85 + 12). 36 What is -1 - (-17 - (3 + -7))? 12 What is the value of -1 + 1 + (53 - 67)? -14 Evaluate (2 - 1) + 0 - (-23 - -31 - 3). -4 What is the value of 2 - ((-4 - -9) + -3 + (-1 - 1))? 2 What is -30 - (31 + -26 + -56)? 21 Evaluate -9 + (8 - -3) + -7. -5 Calculate 28 + -2 + 122 + -139. 9 What is the value of (9 - -1) + (31 - 13 - 15)? 13 What is 23 - (42 - (-26 - -44))? -1 What is 1 - 9 - ((-59 - 3) + 62)? -8 4 - (-6 - -6) - (17 - -4 - 1) -16 What is the value of -8 + 2 - (23 + -29 + 11)? -11 What is 0 + 36 - (2411 + -2381)? 6 Calculate -19 + 23 + (-11 - 0) + (-9 - 1). -17 -13 + (34 - 17) + -17 -13 -42 + 45 - ((1 - 3) + 6) -1 Calculate (291 - 291 - ((-3 - -2) + -5)) + -1. 5 What is -9 - 13 - (-67 - -35)? 10 What is the value of 0 - (-4 - -41 - 4) - (-4 - 2)? -27 What is the value of 0 - (-14 + (-1 - -7) + -1 + 3)? 6 1 + -8 + -4 + 15 4 Evaluate 1 - (-18 - (-5 - 3 - -2)). 13 Evaluate -17 + 38 + -24 + 11. 8 What is the value of -17 + -2 - (-87 - -37)? 31 What is -11 + (-24 - -39) + 9? 13 What is 0 - (3 + -12 + -1)? 10 Calculate 1 - -24 - (-24 - -55). -6 Evaluate 25 + 21 + -39 - (-1 - -1 - -7). 0 What is 58 + -40 + (5 - 13)? 10 Calculate -35 + (14 - -3) - -27. 9 24 + -14 + 16 - -12 38 What is (6 - 1 - 2 - 20) + -5 + 8? -14 9 + -1 + -17 - (-26 - -39) -22 What is (-10 - -15 - -19) + -43? -19 Evaluate (-2 + -2 + 6 - 4) + -122 + 119. -5 Evaluate -13 - (-44 + 24) - 17. -10 (-1 - 2) + 1 + 5 - 1 - -6 8 Evaluate 5 + (4 - -5 - (7 + 3)). 4 What is the value of (14 + -30 - -12) + -2? -6 What is (-232 - -240) + (3 + (-1 - 11) - 0)? -1 Evaluate 7 + -18 + 11 + 1. 1 What is the value of (11 - 6) + 12 + -12? 5 Calculate -25 + 40 + 4 - 25. -6 Evaluate 9 - 4 - -1 - (24 + -11). -7 Evaluate 1 - (-48 + -17 + 45). 21 Calculate (8 - (-51 - -27)) + -6. 26 Evaluate -2 + 0 + 0 + -26 + -28 + 43. -13 What is the value of (-4 - (-3 + 5)) + (5 - -1)? 0 What is the value of 17 + -4 - 34 - (0 + -1 + -3)? -17 What is -2 - -1 - (-33 - (13 - (36 + -14)))? 23 Evaluate -18 - (-22 - (6 + 5)). 15 Calculate 5 + (2 - 4 - -1) + 3 - 12. -5 (12 - (9 - (-7 - -11))) + -2 + -14 -9 What is -41 + 39 - (0 - -4)? -6 What is -25 + 6 + 4 + 11 + 3 + 15? 14 1 + -14 + (2 - 15) + -93 + 105 -14 Calculate (10 - (-3 + 23)) + -5 + 17. 2 What is the value of -2 - -7 - (24 - 12) - -10? 3 -5 + 1 + -1 + 31 + -29 -3 What is the value of (14 - (2 + 12)) + -3? -3 -6 - ((-7 - -10) + -1 + 10 - 6) -12 What is (2 - (2 + 2)) + 85 + -81? 2 4 - ((-6 - (-13 + 2 - -1)) + -15) 15 5 + 5 + -5 + -5 - (-3 - 2) 5 Calculate 2 - (12 - 10) - -6. 6 (29 - 1) + -37 - (1 - 5) - 9 -14 What is the value of -7 + (-6 - (-26 - -4))? 9 (225 - 206) + (-4 - 1) 14 What is the value of -1 + 3 + (3 - 9) + -2 + 2? -4 What is the value of 4 - 1 - (-19 + 30) - -11? 3 Evaluate 5 + -1 + (38 - -1) + -46. -3 (44 - (-35 + 39)) + -17 23 What is the value of -5 + (8 - -19) - (11 - 2)? 13 What is 18 + -11 + (1 - -2) - -1? 11 Evaluate (5 - (0
{ "pile_set_name": "DM Mathematics" }
se 4? -11031 Convert -1100012 (base 3) to base 15. -452 Convert 1044 (base 8) to base 12. 398 Convert -a764 (base 13) to base 11. -16503 Convert 430 (base 11) to base 8. 1005 What is -31564 (base 7) in base 14? -2bdb -1111100001 (base 2) to base 5 -12433 Convert -c61 (base 16) to base 7. -12145 What is -11929 (base 11) in base 7? -100555 What is -21102322 (base 4) in base 6? -452134 -10100001011 (base 2) to base 10 -1291 What is 13200 (base 5) in base 11? 875 Convert -111010112 (base 3) to base 5. -301242 What is -156 (base 10) in base 8? -234 124 (base 8) to base 14 60 294 (base 12) to base 16 190 225 (base 6) to base 7 155 2745 (base 8) to base 7 4254 Convert -1066 (base 12) to base 16. -70e What is a52c (base 16) in base 5? 2323114 -1204 (base 5) to base 16 -b3 1c0 (base 16) to base 5 3243 Convert -132314 (base 5) to base 3. -21022120 What is -43454 (base 6) in base 13? -2974 What is -287 (base 14) in base 9? -627 1bc (base 15) to base 12 296 -19a51 (base 13) to base 14 -1437c -100000001001 (base 2) to base 11 -1600 Convert 107 (base 12) to base 16. 97 Convert 3031 (base 5) to base 4. 12013 Convert -113010 (base 6) to base 3. -111100020 -241415 (base 7) to base 4 -22223321 What is 3674 (base 11) in base 8? 11300 5585 (base 14) to base 11 10150 What is -320100 (base 4) in base 7? -13332 What is 10a (base 14) in base 15? db 303 (base 12) to base 7 1161 51727 (base 9) to base 3 1201210221 What is -120644 (base 8) in base 10? -41380 45 (base 6) to base 14 21 Convert -130133 (base 6) to base 5. -333341 1003102 (base 4) to base 14 17d8 Convert 1100011110 (base 2) to base 8. 1436 Convert -2593b (base 12) to base 2. -1100100011111111 211231 (base 4) to base 5 34123 21655 (base 7) to base 2 1010101100111 -53450 (base 7) to base 10 -13265 What is 4372 (base 9) in base 5? 100344 6500 (base 7) to base 12 13bb Convert 6485 (base 9) to base 15. 1635 What is -111010001 (base 2) in base 15? -210 -153012 (base 7) to base 13 -10782 What is -40 (base 9) in base 8? -44 -2510 (base 12) to base 8 -10134 What is 13605 (base 9) in base 7? 35636 Convert 1110011010000101 (base 2) to base 6. 1133113 Convert 15210 (base 6) to base 4. 212112 What is 18888 (base 13) in base 16? b9f1 What is -33000 (base 4) in base 5? -12320 Convert -326a (base 11) to base 3. -12220200 Convert a81 (base 11) to base 9. 1703 4433 (base 8) to base 10 2331 Convert -222002100 (base 3) to base 4. -10221021 94ac (base 14) to base 2 110010000100000 498 (base 14) to base 9 1230 161 (base 7) to base 11 84 Convert -3124 (base 5) to base 6. -1530 What is 25661 (base 8) in base 13? 5125 Convert 933 (base 16) to base 4. 210303 What is 516 (base 7) in base 8? 402 Convert 143 (base 11) to base 5. 1133 -2437 (base 15) to base 8 -17026 10011010111101 (base 2) to base 7 40625 What is -90d1 (base 14) in base 15? -7589 Convert 375e (base 16) to base 5. 423144 Convert 110001010000001 (base 2) to base 13. b62a 64214 (base 7) to base 13 7301 260 (base 8) to base 2 10110000 What is 301 (base 7) in base 14? a8 52d (base 15) to base 3 1121021 -1010101 (base 3) to base 12 -584 2365 (base 8) to base 11 a54 What is -4242 (base 6) in base 7? -2543 1312 (base 8) to base 7 2040 426 (base 9) to base 16 15c Convert 26a (base 11) to base 10. 318 Convert -594 (base 14) to base 12. -786 31304 (base 5) to base 2 100000011111 Convert -188 (base 11) to base 10. -217 61 (base 11) to base 6 151 What is 4022 (base 6) in base 2? 1101101110 What is -466 (base 7) in base 9? -301 1001020002 (base 3) to base 10 20576 315420 (base 7) to base 3 2210002200 Convert -4015 (base 7) to base 6. -10224 5c60 (base 16) to base 10 23648 What is -51e5 (base 15) in base 16? -43a3 What is -36c (base 15) in base 2? -1100001001 What is cb (base 16) in base 2? 11001011 Convert -4a3f (base 16) to base 7. -106262 -10431410 (base 5) to base 14 -25b18 -9d1c (base 14) to base 3 -1101102000 Convert -5a1 (base 12) to base 8. -1511 -5114 (base 6) to base 10 -1126 What is 25100 (base 8) in base 2? 10101001000000 What is 1182 (base 9) in base 3? 1012202 What is -512134 (base 6) in base 2? -1001111011011010 Convert -11010131 (base 4) to base 14. -77d3 What is -28832 (base 9) in base 12? -b43b Convert -1645 (base 8) to base 11. -779 -1f71 (base 16) to base 7 -32316 Convert -101000100 (base 2) to base 12. -230 -1521 (base 6) to base 8 -631 -441230 (base 5) to base 7 -62200 What is -a46 (base 13) in base 14? -8cc Convert -1843 (base 9) to base 10. -1416 Convert 1102102 (base 3) to base 5. 13122 What is 10000 (base 4) in base 3? 100111 What is 1587 (base 9) in base 4? 102331 What is 118c3 (base 14) in base 4? 22132103 -128 (base 11) to base 2 -10010111 Convert 12032 (base 8) to base 14. 1c38 -36445 (base 10) to base 11 -25422 Convert 10f (base 16) to base 8. 417 What is 7a35 (base 12) in base 5? 413302 Convert -120101 (base 4) to base 3. -2010112 -14437 (base 8) to base 15 -1d8b 10201 (base 3) to base 6 244 Convert -4da (base 14) to base 5. -12401 24904 (base 12) to base 9 75134 487 (base 13) to base 14 403 a5 (base 11) to base 10 115 241 (base 10) to base 9 287 144b9 (base 12) to base 15 8610 What is 1161 (base 7) in base 11? 366 14364 (base 10) to base 4 3200130 Convert 22115 (base 6) to base 7. 11645 Convert -14011 (base 5) to base 16. -46b What is -4699 (base 10) in base 13? -21a6 a9 (base 12) to base 8 201 a500 (base 14) to base 10 28420 What is a152 (base 11) in base 16? 34b0 What is -11321 (base 5) in base 11? -6a0 69b (base 15) to base 14 78c -55 (base 11) to base 8 -74 Convert -72aa (base 12) to base 4. -3003202 What is -41323 (base 5) in base 12? -16a1 -3144 (base 13) to base 3 -100100110 What is -23221 (base 4) in base 12? -521 What is -10413 (base 5) in base 16? -2dd Convert -354e (base 15) to base 4. -2300330 -42306 (base 10) to base 5 -2323211 171 (base 13) to base 7 522 Convert 158a (base 12) to base 13. 1216 What is 18 (base 10) in base 8? 22 123121 (base 5) to base 11 3661 What is 1015 (base 12) in base 4? 123101 2277 (base 8) to base 14 62b What is 4d28 (base 15) in base 12? 963b Convert -40195 (base 11) to base 14. -175d3 32400 (base 5) to base 13 1022 What is 11624 (base 7) in base 8? 5760 83f (base 16) to base 15 95b Convert 1350 (base 6) to base 7. 1014 Convert 8 (base 12) to base 15. 8 -23 (base 11) to base 9 -27 What is -2020112 (base 3) in base 14? -84a What is 615 (base 7) in base 14? 17c What is 4b7 (base 13) in base 15? 3a1 Convert 3105 (base 7) to base 15. 4c3 -505244 (base 6) to base 15 -bd0a Convert -1462 (base 8) to base 12. -582 Convert 6913 (base 13) to base 4. 3211333 What is 35167 (base 9) in base 6? 300354 1322a (base 11) to base 10 18908 -1c56 (base 13) to base 14 -17cc What is 6466 (base 8) in base 3? 11122021 What is -42a (base 14) in base 16? -336 -2639 (base 10) to base 5 -41024 25109 (base 11) to base 9 54424 Convert -1071 (base 8) to base 6. -2345 Convert 104725 (base 9) to base 5. 4000210 What is -31130 (base 4) in base 16? -35c 207463 (base 8) to base 12 34217 134014 (base 6) to base 3 122012101 Convert -61c4 (base 13) to base 8. -32307 What is 107471 (base 9) in base 11? 44543 Convert 524 (base 7) to base 6. 1115 Convert -20366 (base 7) to base 3. -20212002 Convert 834 (base 9) to base 16. 2a7 -555 (base 8) to base 10 -365 Convert 223103 (base 6) to base 2. 100100110001111 What is 125 (base 10) in base 11? 104 What is 1302211 (base 4) in base 7? 30244 Convert -13d (base 16) to base 15. -162 -2875a (base 11) to base 13 -15789 What is 13222 (base 5) in base 15? 4ac What is 44617 (base 10) in base 6? 542321 4a3b (base 15) to base 4 3312332 -12687 (base 12) to base 13 -b5b4 Convert 101110000 (base 2) to base 3. 111122 What is 374 (base 15) in base 9? 1061 What is 3444 (base 9) in base 16? 9f7 What is 1a02 (base 12) in base 5? 100140 47873 (base 10) to base 13 18a37 What is -400044 (base 5) in base 16? -30ec What is 108b (base 13) in base 12? 1408 What is -50015 (base 6) in base 9? -8812 67 (base 11) to base 5 243 Convert 4afc (base 16) to base 11. 13471 Convert 20520 (base 8) to base 2. 10000101010000 Convert -1b09 (base 14) to base 15. -16c4 132 (base 8) to base 5 330 What is 1110111000 (base 2) in base 3? 1022021 Convert 340530 (base 6) to base 4. 13000212 Convert 9cb (base 16) to base 7. 10211 What is -1b91 (base 12)
{ "pile_set_name": "DM Mathematics" }
is the hundred millions digit of 261577227? 2 What is the tens digit of 358480008? 0 What is the hundred millions digit of 917762949? 9 What is the units digit of 2916971118? 8 What is the ten millions digit of 75815860? 7 What is the ten thousands digit of 19773331? 7 What is the hundred thousands digit of 264748577? 7 What is the thousands digit of 66218800? 8 What is the hundreds digit of 182626668? 6 What is the billions digit of 1012937749? 1 What is the hundred thousands digit of 1348115950? 1 What is the millions digit of 21813469? 1 What is the ten millions digit of 1362657514? 6 What is the ten millions digit of 98264825? 9 What is the ten thousands digit of 35655158? 5 What is the millions digit of 63100133? 3 What is the thousands digit of 880803209? 3 What is the tens digit of 144090075? 7 What is the thousands digit of 708288886? 8 What is the billions digit of 3986931830? 3 What is the hundreds digit of 203497518? 5 What is the tens digit of 2417043791? 9 What is the ten millions digit of 28221220? 2 What is the ten thousands digit of 31075510? 7 What is the millions digit of 71321464? 1 What is the billions digit of 4364577803? 4 What is the hundred thousands digit of 62551274? 5 What is the ten thousands digit of 983762958? 6 What is the units digit of 7349635860? 0 What is the hundred thousands digit of 324222618? 2 What is the ten millions digit of 1103067929? 0 What is the hundred millions digit of 260962787? 2 What is the millions digit of 54157208? 4 What is the hundred millions digit of 1800860126? 8 What is the thousands digit of 68670097? 0 What is the hundreds digit of 109784737? 7 What is the hundreds digit of 668069981? 9 What is the hundred millions digit of 2679149132? 6 What is the tens digit of 282124055? 5 What is the units digit of 2034218317? 7 What is the hundred thousands digit of 58116776? 1 What is the millions digit of 81499604? 1 What is the thousands digit of 187156504? 6 What is the tens digit of 640521012? 1 What is the units digit of 2311224? 4 What is the millions digit of 34297036? 4 What is the ten thousands digit of 632850240? 5 What is the units digit of 9506454? 4 What is the units digit of 819538481? 1 What is the hundred thousands digit of 683683449? 6 What is the thousands digit of 263285734? 5 What is the hundred millions digit of 3473291726? 4 What is the millions digit of 232774691? 2 What is the ten millions digit of 126066934? 2 What is the millions digit of 93273619? 3 What is the hundred millions digit of 286915303? 2 What is the thousands digit of 4232141? 2 What is the millions digit of 6193959532? 3 What is the thousands digit of 7109034203? 4 What is the thousands digit of 4183712? 3 What is the units digit of 25047501? 1 What is the hundreds digit of 168107479? 4 What is the units digit of 6639487262? 2 What is the ten thousands digit of 260990824? 9 What is the billions digit of 1976749784? 1 What is the thousands digit of 146424626? 4 What is the millions digit of 130710068? 0 What is the hundreds digit of 469160320? 3 What is the thousands digit of 154954398? 4 What is the thousands digit of 8110944? 0 What is the ten millions digit of 32599882? 3 What is the tens digit of 177381132? 3 What is the ten millions digit of 68756602? 6 What is the hundreds digit of 355150590? 5 What is the tens digit of 2050321? 2 What is the units digit of 27704345? 5 What is the hundred thousands digit of 14268715? 2 What is the hundred millions digit of 1136940785? 1 What is the units digit of 398665927? 7 What is the ten millions digit of 4911100587? 1 What is the units digit of 27597513? 3 What is the hundred millions digit of 263388480? 2 What is the hundreds digit of 1235724492? 4 What is the ten millions digit of 94948235? 9 What is the tens digit of 119676529? 2 What is the ten thousands digit of 32075804? 7 What is the hundreds digit of 956662889? 8 What is the hundred thousands digit of 107783677? 7 What is the tens digit of 3536277253? 5 What is the hundred thousands digit of 2040753665? 7 What is the units digit of 323473911? 1 What is the millions digit of 671456565? 1 What is the hundred thousands digit of 48400855? 4 What is the tens digit of 1199408516? 1 What is the millions digit of 458318319? 8 What is the thousands digit of 435469918? 9 What is the thousands digit of 663574710? 4 What is the millions digit of 4979433493? 9 What is the ten thousands digit of 730613837? 1 What is the thousands digit of 1009381439? 1 What is the millions digit of 3438814942? 8 What is the tens digit of 203346475? 7 What is the hundred thousands digit of 129081357? 0 What is the millions digit of 90565244? 0 What is the units digit of 53212560? 0 What is the billions digit of 3554171702? 3 What is the hundreds digit of 4083322879? 8 What is the units digit of 1782017600? 0 What is the thousands digit of 784639367? 9 What is the hundreds digit of 4379593797? 7 What is the tens digit of 1273725552? 5 What is the hundred thousands digit of 979304620? 3 What is the ten millions digit of 312601772? 1 What is the ten millions digit of 268976311? 6 What is the ten thousands digit of 611443893? 4 What is the hundreds digit of 111483237? 2 What is the tens digit of 1112434108? 0 What is the hundred thousands digit of 94113004? 1 What is the thousands digit of 31175678? 5 What is the millions digit of 2722645617? 2 What is the thousands digit of 2141371075? 1 What is the units digit of 161430010? 0 What is the hundred thousands digit of 61130715? 1 What is the ten millions digit of 42962428? 4 What is the hundred thousands digit of 73681432? 6 What is the billions digit of 4315225605? 4 What is the tens digit of 39709734? 3 What is the ten thousands digit of 500936296? 3 What is the thousands digit of 86983155? 3 What is the thousands digit of 6583992001? 2 What is the tens digit of 888779802? 0 What is the units digit of 48788329? 9 What is the tens digit of 134931081? 8 What is the tens digit of 94823317? 1 What is the millions digit of 4560988408? 0 What is the hundreds digit of 10800102? 1 What is the tens digit of 55637807? 0 What is the ten thousands digit of 308530585? 3 What is the tens digit of 2493885769? 6 What is the ten thousands digit of 402864316? 6 What is the millions digit of 146805104? 6 What is the millions digit of 197702497? 7 What is the ten millions digit of 32844022? 3 What is the units digit of 43717503? 3 What is the ten millions digit of 40163812? 4 What is the hundred millions digit of 1531279194? 5 What is the billions digit of 1988213835? 1 What is the billions digit of 2136114293? 2 What is the tens digit of 106257568? 6 What is the tens digit of 101406273? 7 What is the ten thousands digit of 436082047? 8 What is the hundred millions digit of 2478066463? 4 What is the ten millions digit of 3672214656? 7 What is the thousands digit of 209509433? 9 What is the thousands digit of 26806424? 6 What is the hundred thousands digit of 2589804573? 8 What is the tens digit of 1739783451? 5 What is the ten thousands digit of 668707200? 0 What is the tens digit of 48673444? 4 What is the tens digit of 381632936? 3 What is the ten millions digit of 6411900769? 1 What is the hundreds digit of 54627088? 0 What is the hundred millions digit of 1504930708? 5 What is the tens digit of 222204207? 0 What is the thousands digit of 253173615? 3 What is the thousands digit of 1076661794? 1 What is the hundred thousands digit of 30235206? 2 What is the tens digit of 26444158? 5 What is the units digit of 2220794912? 2 What is the hundreds digit of 10797138? 1 What is the hundred thousands digit of 237293857? 2 What is the ten millions digit of 556478194? 5 What is the tens digit of 1227297611? 1 What is the hundred thousands digit of 128937074? 9 What is the hundred millions digit of 723569397? 7 What is the millions digit of 102540340? 2 What is the tens digit of 1039809512? 1 What is the thousands digit of 623009123? 9 What is the ten millions digit of 70711583? 7 What is the tens digit of 56981582? 8 What is the thousands digit of 1578937112? 7 What is the hundreds digit of 62012086? 0 What is the millions digit of 1107603114? 7 What is the millions digit of 94430801? 4 What is the thousand
{ "pile_set_name": "DM Mathematics" }
t(108)/sqrt(4)). 78*sqrt(7) + 2804 Simplify ((sqrt(396)/(sqrt(324)*-4 - sqrt(324)))/(sqrt(44)/((sqrt(1100) - sqrt(11))*4)))**2*-5. -396/5 Simplify (-5 + -1*(sqrt(704) + (2*sqrt(704) - sqrt(704)))**2 - (sqrt(77)/sqrt(28)*1 + -5)**2) + 5 + -5. -11395/4 + 5*sqrt(11) Simplify -5 + ((sqrt(1539) + sqrt(1539)*2 + sqrt(1539) + 1)**2 - sqrt(1539) - ((1*-3*sqrt(1539))**2 + sqrt(1539)) - (2*sqrt(1539)*3 + 4)**2). -44651 - 378*sqrt(19) Simplify (sqrt(912)*3 + sqrt(228)/sqrt(4)*-5)/(-5*-6*(sqrt(3) + ((sqrt(12)*2)/sqrt(4) - sqrt(3)) + sqrt(3))). 7*sqrt(19)/90 Simplify ((sqrt(68) + 1 + sqrt(68) + -5)**2 + sqrt(68))*-1 - ((3 + sqrt(17) - sqrt(17))*-2 - (sqrt(51)*2)/sqrt(3)). -282 + 32*sqrt(17) Simplify 2 + (-1*(sqrt(700) - 4*(-5 + sqrt(700) - sqrt(700)) - (-3*(sqrt(700) + 4*sqrt(700)) - sqrt(700))))**2. 6800*sqrt(7) + 202702 Simplify (-4 + 0 + (3*sqrt(18)*2 - (sqrt(882) + -2) - (sqrt(450) + (sqrt(450) - 2*sqrt(450)))*-3))**2. 12*sqrt(2) + 22 Simplify ((sqrt(190) + sqrt(190)*1)*5 + (sqrt(190) - -3*3*sqrt(190)))/(2*(sqrt(160)*2 - sqrt(160))*-5). -sqrt(19)/2 Simplify (-3*(sqrt(1400) - sqrt(1400)*1))/(sqrt(7)*-1*3*1) + 1. 1 Simplify (-1*(sqrt(95) + (sqrt(95) - (sqrt(95) - -2*sqrt(95))) + sqrt(95) + sqrt(95))*-6*4)/(sqrt(1280)/sqrt(4) - 1*sqrt(80)). 6*sqrt(19) Simplify (0 + sqrt(1377)*-2 - ((sqrt(1377)*-2 - sqrt(1377)) + -2) - (2 + sqrt(1377)*2 + sqrt(1377) + sqrt(1377) + -5 + sqrt(1377) + -1))**2. -432*sqrt(17) + 22068 Simplify ((-2 + (-1*sqrt(1100) + sqrt(1100) - sqrt(1100) - sqrt(1100))/(1*sqrt(576))*3)**2 + -4)*-4. -275 - 40*sqrt(11) Simplify (sqrt(700)*-1*4*6*-5)**2 + ((sqrt(700) - (sqrt(700) + 3*(-2 + sqrt(700) + sqrt(700)) + sqrt(700))) + sqrt(700) + sqrt(700)*1*2)**2. -480*sqrt(7) + 10091236 Simplify 5 + (-4*(sqrt(288)*-1 + -2 - (sqrt(288) + 1)*6 - (5 + -2*(-2*sqrt(288) - sqrt(288)))) + 4)**2. 69888*sqrt(2) + 781893 Simplify (2 + (sqrt(468) - (sqrt(468) + 0))**2 + 4 - (sqrt(52)/(-3*sqrt(4)) - (sqrt(637) + 1*sqrt(637)))**2)*6. -47966/3 Simplify -6*(1 + sqrt(325)) + (0 + sqrt(325))**2*1 - 1*-6*(sqrt(325) + -2*(sqrt(325) + sqrt(325) + 4))**2. 1410*sqrt(13) + 18253 Simplify (sqrt(864) + -3*sqrt(864) + sqrt(288)/sqrt(432))/(sqrt(84)/(sqrt(35)/sqrt(5)) - sqrt(36)/sqrt(3)*2). 71*sqrt(2)/6 Simplify -5*((5*(sqrt(2299) + -3 + 5 - sqrt(2299))*1 + 5)*-2)**2. -4500 Simplify -1 + sqrt(2448)*-1 + ((sqrt(2448) - sqrt(2448)*-1) + sqrt(2448))**2 + 0 + 1 - (sqrt(2448) + 1 + (sqrt(2448) + 0)**2)*-5*5. 288*sqrt(17) + 83257 Simplify (6*sqrt(189) + sqrt(21)*1*4)/(5*sqrt(7)*2 + sqrt(7) + (sqrt(7) - sqrt(1008)*2)). -11*sqrt(3)/6 Simplify 4*(-2*sqrt(228)*1*-6)/(-2*sqrt(12)*1*-3) + -3. -3 + 8*sqrt(19) Simplify 6*sqrt(60)/sqrt(3) + (sqrt(270)/(sqrt(27)/sqrt(3)))/sqrt(6) + (1*(1 + sqrt(605))*-2*-5)**2. 2213*sqrt(5) + 60600 Simplify ((sqrt(48)/sqrt(2) - sqrt(24)) + (sqrt(72)/sqrt(4))/sqrt(3) + sqrt(6))/((2*sqrt(72)*3 - sqrt(72))*6). sqrt(3)/90 Simplify 5 + 2 + (3*(-2 + -4 + (sqrt(272) - -2*-3*sqrt(272)) + 0))**2. 2160*sqrt(17) + 61531 Simplify 2 + (1 + -2*(sqrt(300) + -1))**2 + (6*(sqrt(432) + 2) - 3*sqrt(432)*-6). 168*sqrt(3) + 1223 Simplify (-1*sqrt(84)*3 - 2*sqrt(84)*1)/(4*(sqrt(588) - (sqrt(588) - sqrt(588)*-2)) + 4*(sqrt(588) - sqrt(588)*-2)). -5*sqrt(7)/28 Simplify (-1 + -2*(5 + sqrt(567)*-3)*-5 + 3)**2 + 5. -28080*sqrt(7) + 513009 Simplify (-4 + -3 + ((sqrt(450) - ((3*sqrt(450)*-1 - sqrt(450)) + sqrt(450)))*5)/((sqrt(729) + 2*sqrt(729) - sqrt(9))*-1))**2. 700*sqrt(2)/13 + 13281/169 Simplify (-4*sqrt(224)*-3*4)/((sqrt(14) + 6*sqrt(14)*-1)/(sqrt(77)/(-2*sqrt(11)) - sqrt(7))). 288*sqrt(7)/5 Simplify ((sqrt(72) - ((sqrt(72) + 3)**2 - sqrt(72)))*-6 + sqrt(72) + 4 - ((-1*(-2*sqrt(72) - sqrt(72)))**2 - ((2 + sqrt(72) + sqrt(72))*-2 + sqrt(72))))*3. -486 + 396*sqrt(2) Simplify (5 + -6*((sqrt(180)*1 - sqrt(180))*-1 + sqrt(180))/sqrt(10)*-4)*-5. -360*sqrt(2) - 25 Simplify (-1*(-4*sqrt(98)*2 + 3))**2 + -2*(sqrt(98) + sqrt(98) + -2 + sqrt(98) + 3 + -4). -378*sqrt(2) + 6287 Simplify (1*sqrt(84)*-2 - (sqrt(84) + 5*1*sqrt(84)))/(-2*-6*sqrt(108)). -2*sqrt(7)/9 Simplify -4 + -2*(4*sqrt(275) + sqrt(275))**2 + ((-5*sqrt(176)*-2)**2 - sqrt(176) - (-2*sqrt(176))**2*4). -4*sqrt(11) + 1030 Simplify 2 + (-3 + 2*(sqrt(325) - (sqrt(325) + 1))**2 + sqrt(325) - (-2*sqrt(325) + -4 - -1*((sqrt(325) - sqrt(325)*-1) + sqrt(325)))) + 0. 5 Simplify (-4*(-2 + sqrt(832)) - (1 + sqrt(832)*4 + sqrt(832)))**2 + (2 + sqrt(832) + 2 - (2 + sqrt(832) + -1)). -1008*sqrt(13) + 67444 Simplify 6*(-5 + ((3*sqrt(85))/sqrt(5) - (sqrt(272)*-6 + sqrt(17)))**2*-2). -137934 Simplify 6*((sqrt(4) + sqrt(4) + -1*sqrt(144))/sqrt(2) + -2 + (2*sqrt(44)/sqrt(2))/(sqrt(11) - (1*sqrt(176) + sqrt(176) - sqrt(176)))). -28*sqrt(2) - 12 Simplify ((-2 + sqrt(968) + -1 + -4 - (4 + 1*(0 + sqrt(392)))) + -3)**2*-3. -972 + 672*sqrt(2) Simplify (-2*-2*sqrt(17) - (sqrt(34)/sqrt(2) + -3 - sqrt(17)))**2 + ((3*sqrt(102) - sqrt(102))*3)/sqrt(6) + 1. 30*sqrt(17) + 282 Simplify 0 + (sqrt(252)*3 - sqrt(84)/sqrt(108) - (sqrt(56)/(sqrt(8)*1*1) + 2)). -2 + 50*sqrt(7)/3 Simplify (0 + (sqrt(704) + (sqrt(704) - (-1 + sqrt(704))) + 0 + (5*(sqrt(704) + 3) - sqrt(704)))*-1 + -5)**2 + 0. 1680*sqrt(11) + 18041 Simplify -3 + (3*(-2 + 2*sqrt(500) + 3*(sqrt(500)*-2 + sqrt(500)) + (5 + sqrt(500)*3 - sqrt(500)) + 5 + -3*sqrt(500)))**2. -2880*sqrt(5) + 18573 Simplify (((0 + (-2 + sqrt(2299))*5)**2 - ((sqrt(2299) + 1 - sqrt(2299))*6 - (-2*sqrt(2299)*-6)**2)) + 0)*2. -2200*sqrt(19) + 777250 Simplify 3*(((sqrt(108)*1*6 + sqrt(108) + sqrt(108)*-1*6 - -5*sqrt(108)*-1*3) + 3)**2 + -1). -1512*sqrt(3) + 63528 Simplify 0 + (((sqrt(91) - (sqrt(91)*-1 - sqrt(91))*4) + 5*1*sqrt(91))/((sqrt(112)/sqrt(2))/sqrt(8) - 5*(sqrt(7) + -2*sqrt(7))))**2 + 1. 646/9 Simplify sqrt(21)/(sqrt(3) - sqrt(3)*-2) + 0 + sqrt(63) + 3*sqrt(7)*-1 + -2*(0 + sqrt(7))**2 - (sqrt(420)/(sqrt(60)/sqrt(5)))/(sqrt(15)/(sqrt(21)/sqrt(7))). -14 - 2*sqrt(7)/3 Simplify ((sqrt(117)*-2*-5 + 5 + ((sqrt(13) - sqrt(208))*-4 - sqrt(13)) + -5)*4 + -4)**2. -1312*sqrt(13) + 349664 Simplify ((sqrt(19) + 1*sqrt(1216) + sqrt(1216) - 2*sqrt(19)*3)*-2 + sqrt(114)/sqrt(6)*1 + sqrt(304)*-2)**2. 15979 Simplify ((sqrt(385)/(-2*sqrt(11) - sqrt(11)) - sqrt(140)*4)/((sqrt(60) - (sqrt(180)*2)/sqrt(3))/sqrt(12)))**2*-4. -17500/9 Simplify 6*((-4 + sqrt(99)*-2)**2 - (sqrt(11)*-4*3*-5)**2)*-2 + 5. -576*sqrt(11) + 470261 Simplify (((-4*-2*sqrt(98))/(sqrt(2)*1*1))/(sqrt(1008)*-3 + 5*sqrt(21)/sqrt(3)))**2. 448/961 Simplify (sqrt(104)*1*4)/(-1*sqrt(800)) + 5 - (-1 + sqrt(78)/(sqrt(18)/sqrt(3)) + sqrt(13) + sqrt(13)*1*-2 + (sqrt(13) - (sqrt(1300) + 1)))**2. -1052 - 182*sqrt(13)/5 Simplify (-2*(sqrt(156) + sqrt(156)*1 + sqrt(156)))/(sqrt(12) - (-2*sqrt(72) + sqrt(72))/sqrt(6)) + -4 + (sqrt(325) - -2*sqrt(325)) + 2. -2 + 12*sqrt(13) Simplify ((-3 + sqrt(275) + 1 - (-3 + sqrt(275)*-1 + sqrt(275)) - (4 + -1 + sqrt(275) + 3)) + 1)**2. 16 Simplify 3 + ((1*sqrt(48) + 0 - (sqrt(48) + 3*sqrt(192))) + 5 + 5)**2*1. -480*sqrt(3) + 1831 Simplify (0 + 5*((sqrt(117) + (sqrt(117)*-2 - sqrt(117)))*-5)/(sqrt(9) + (sqrt(9) - (sqrt(729)*-1 - sqrt(9))) + sqrt(9)))*-1 + -5. -50*sqrt(13)/13 - 5 Simplify -1*1*2*(sqrt(180) + sqrt(180) + (sqrt(180) - (sqrt(180) - ((sqrt(180) - (sqrt(180)*-1 + sqrt(180))) + 4))) + -1)**2*-3*-3. -29322 - 1944*sqrt(5) Simplify (sqrt(165)/(-2*sqrt(5)*-5))/(sqrt(1100)*1*-4)*-5*-3. -3*sqrt(3)/80 Simplify 6*((sqrt(165) - -1*sqrt(165)*-1)/(1*sqrt(1584)))/(((sqrt(385)*-1 - sqrt(385))/sqrt(11))/((sqrt(63) + sqrt(7) - sqrt(7) - sqrt(7))*-5)). 0 Simplify ((-3 + -5 + (sqrt(1008) - sqrt(1008)*2) + -3 + sqrt(1008)*-1 + 4)*5 + 2)**2. 7920*sqrt(7) + 101889 Simplify (-5 + -1 + 5*((sqrt(432) - (sqrt(432) + -2 + sqrt(432))) + sqrt(432) - sqrt(432))*5)**2*6*3. -475200*sqrt(3) + 4894848 Simplify (-2*(2*(sqrt(108)/sqrt(3))/sqrt(6)*-6)/(2*(sqrt(6)/sqrt(2) - sqrt(3)) + (sqrt(135)/sqrt(5))/sqrt(9)))**2. 1152 Simplify (1*(sqrt(48) + sqrt(240)/sqrt(5)))/(sqrt(30)/(-5*sqrt(320) - sqrt(320))). -192*sqrt(2) Simplify (-1*sqrt(1375)*1*-3)/(((sqrt(20) - sqrt(80)/sqrt(4)*-2) + sqrt(20))/(-3*-1*sqrt(4))). 45*sqrt(11)/4 Simplify (sqrt(12)/sqrt(32))/(sqrt(75)*-2 + sqrt(3)) - -5*(((sqrt(2) - (3 + sqrt(2))) + -4)**2 + 2). -sqrt(2)/36 + 255 Simplify ((6*(sqrt(77) + sqrt(77) + ((4*sqrt(77) + sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77))))/sqrt(7) + -2 + (sqrt(11) + (0 + sqrt(88)/sqr
{ "pile_set_name": "DM Mathematics" }
asing order. 76, -2, -11 Put -0.4, -2/3, -63, 1 in descending order. 1, -0.4, -2/3, -63 Put -4, 3, 56 in ascending order. -4, 3, 56 Put -4/5, 0.1, 2, 6/5, -2 in increasing order. -2, -4/5, 0.1, 6/5, 2 Put 1594, 3, 0.3 in descending order. 1594, 3, 0.3 Put 5, -285, -1 in ascending order. -285, -1, 5 Put -1/4, 3/4, -37/7 in decreasing order. 3/4, -1/4, -37/7 Sort -4, 1, 16, -1 in descending order. 16, 1, -1, -4 Sort 3, 9, -3, -9 in descending order. 9, 3, -3, -9 Sort 1097, 2, -3 in increasing order. -3, 2, 1097 Put -0.4, -5, 14/75, 0 in descending order. 14/75, 0, -0.4, -5 Put 6, 5, 1, -2 in ascending order. -2, 1, 5, 6 Sort -2, 0.2, 38 in descending order. 38, 0.2, -2 Put 2/9, 4, 1, 5, 7/4 in increasing order. 2/9, 1, 7/4, 4, 5 Sort 10, -0.2, -2/3, 2/5, 2 in descending order. 10, 2, 2/5, -0.2, -2/3 Sort 0.5, 0.3, 0 in ascending order. 0, 0.3, 0.5 Sort -4, 5, -3, -104. -104, -4, -3, 5 Sort -83, 7, -1/2 in decreasing order. 7, -1/2, -83 Sort -0.24, -5, 0.5, -0.3 in increasing order. -5, -0.3, -0.24, 0.5 Sort 22, 5, -5. -5, 5, 22 Put 1, 5, -54, -4, 4 in increasing order. -54, -4, 1, 4, 5 Sort -278, 0, -6. -278, -6, 0 Sort 21, -1, 4, -5. -5, -1, 4, 21 Sort 5, 3, -12 in decreasing order. 5, 3, -12 Put -5, -0.5, -0.674 in ascending order. -5, -0.674, -0.5 Sort -3, -30, -17, -0.3 in ascending order. -30, -17, -3, -0.3 Put 1, -1, -2, -6 in decreasing order. 1, -1, -2, -6 Sort 4, 202, 1, 5 in descending order. 202, 5, 4, 1 Sort 1, 0, -113 in decreasing order. 1, 0, -113 Sort -4, -2, -12, 15, -3 in increasing order. -12, -4, -3, -2, 15 Sort 0, -19, 27 in descending order. 27, 0, -19 Put 4, -4, 6, 11/3 in ascending order. -4, 11/3, 4, 6 Sort -0.4, -0.2, -11, -5, 0. -11, -5, -0.4, -0.2, 0 Sort 1, 2, -618 in decreasing order. 2, 1, -618 Put -28, 0.5, -5 in ascending order. -28, -5, 0.5 Put -12, -1, 3, -2, 4 in decreasing order. 4, 3, -1, -2, -12 Sort 0.07, -5, -6 in ascending order. -6, -5, 0.07 Sort 16, 11, -2. -2, 11, 16 Sort 30, 7, -32 in increasing order. -32, 7, 30 Put -2/5, 0.03, -14/5 in ascending order. -14/5, -2/5, 0.03 Sort -0.5, 7, -1/7, -3, 5 in ascending order. -3, -0.5, -1/7, 5, 7 Sort -2/11, -123/4, 3, -5 in ascending order. -123/4, -5, -2/11, 3 Put 4, -170, -5 in descending order. 4, -5, -170 Sort 1/6, -9, -4, -17. -17, -9, -4, 1/6 Put -0.1, 0.3, -2/7, 0.2, -4/3 in increasing order. -4/3, -2/7, -0.1, 0.2, 0.3 Put 2/5, 18, -2/7, 4 in descending order. 18, 4, 2/5, -2/7 Put 2, -31, -3, 7, 13 in decreasing order. 13, 7, 2, -3, -31 Sort -1/10, 13, -11/5. -11/5, -1/10, 13 Sort -156, -1, -1/7, -5 in decreasing order. -1/7, -1, -5, -156 Sort 3/2, 0.2, -5/2, -0.2 in descending order. 3/2, 0.2, -0.2, -5/2 Sort 0.8, -457, -3/4 in increasing order. -457, -3/4, 0.8 Sort -1/4, 2/5, -2/7 in ascending order. -2/7, -1/4, 2/5 Sort -0.4, -0.2, 1/5 in decreasing order. 1/5, -0.2, -0.4 Sort -98, 2/9, -2/9 in increasing order. -98, -2/9, 2/9 Sort 3, -3, -4, -52 in ascending order. -52, -4, -3, 3 Sort 9, -0.02, -4, 5 in decreasing order. 9, 5, -0.02, -4 Put 4, -1918, -1/8 in increasing order. -1918, -1/8, 4 Sort -9, 3, -1, -4 in descending order. 3, -1, -4, -9 Sort 465, 5, 1, -5, 2 in descending order. 465, 5, 2, 1, -5 Sort -36, -1, -4 in decreasing order. -1, -4, -36 Sort -41, -3/5, 2/7 in descending order. 2/7, -3/5, -41 Sort -2/7, 26, -7 in descending order. 26, -2/7, -7 Sort 0, 4, 3, 410 in descending order. 410, 4, 3, 0 Sort -4, 11/65, -3/4, 3. -4, -3/4, 11/65, 3 Put 443, -18, 4 in increasing order. -18, 4, 443 Put -1/4, 3, -0.059, -2 in descending order. 3, -0.059, -1/4, -2 Put 14, 8, -4, -3, 5 in decreasing order. 14, 8, 5, -3, -4 Put -5, 4/7, -7 in descending order. 4/7, -5, -7 Sort -5, 5, -1/2, 2, 22 in descending order. 22, 5, 2, -1/2, -5 Put 3/5, 1/11, 1 in descending order. 1, 3/5, 1/11 Sort 0.5, 1, -241, 5/2. -241, 0.5, 1, 5/2 Sort -1, 0.1, -4, -0.5, -0.2 in descending order. 0.1, -0.2, -0.5, -1, -4 Put -1, 3, 208, 5 in descending order. 208, 5, 3, -1 Sort 1/6, 10, -0.4. -0.4, 1/6, 10 Put -5, 3, 21, 2/3 in decreasing order. 21, 3, 2/3, -5 Put 19, -2, 0, -1 in decreasing order. 19, 0, -1, -2 Put -1/5, -1/16, 0, -0.5 in descending order. 0, -1/16, -1/5, -0.5 Sort 2/5, 0.031, -4, 2/9. -4, 0.031, 2/9, 2/5 Put -2, -184, 3 in ascending order. -184, -2, 3 Sort 3, -4, 2, -3 in ascending order. -4, -3, 2, 3 Put -3, -2, 1, -1 in increasing order. -3, -2, -1, 1 Sort 8, 3, -1 in decreasing order. 8, 3, -1 Put -9, -6, -77 in decreasing order. -6, -9, -77 Sort -1, 9, 144 in ascending order. -1, 9, 144 Put -370, 0, 1 in increasing order. -370, 0, 1 Put 24, 5, 3 in ascending order. 3, 5, 24 Sort -1, 5, 16, -5 in increasing order. -5, -1, 5, 16 Sort 4, 2, 797. 2, 4, 797 Put 6, 3, 2, 8 in decreasing order. 8, 6, 3, 2 Put -4, 2/159, 5/13, 0.4 in decreasing order. 0.4, 5/13, 2/159, -4 Sort 0.1, 2/21, -8/9, 1, -0.5. -8/9, -0.5, 2/21, 0.1, 1 Sort -4, -620, -2, -3 in increasing order. -620, -4, -3, -2 Sort -28, 2, -3, 4 in descending order. 4, 2, -3, -28 Put 5, -5, 22 in decreasing order. 22, 5, -5 Sort 2, 16, -5, 66 in decreasing order. 66, 16, 2, -5 Put -4, 4, -3/4, 34 in descending order. 34, 4, -3/4, -4 Sort 96, 26, -5, 3. -5, 3, 26, 96 Put 8, -29, -2 in increasing order. -29, -2, 8 Sort 0, 3, 2/9, 7, -6 in increasing order. -6, 0, 2/9, 3, 7 Sort 11, 5/7, 0.1, 2. 0.1, 5/7, 2, 11 Put 2/65, 3, -4/3 in decreasing order. 3, 2/65, -4/3 Sort -18, 13, -5, 0 in descending order. 13, 0, -5, -18 Put -4, 2/1361, 4 in ascending order. -4, 2/1361, 4 Put 2, 3, -0.01, 0.3 in increasing order. -0.01, 0.3, 2, 3 Sort -5, -4, -58, -1/7 in ascending order. -58, -5, -4, -1/7 Sort 0.06, -5, 0.1, -7, 1. -7, -5, 0.06, 0.1, 1 Sort 5, 4, 1, 13 in descending order. 13, 5, 4, 1 Put -45, -3/5, 0.2, 0.3, -0.1 in increasing order. -45, -3/5, -0.1, 0.2, 0.3 Sort -4/5, 1, -0.4, -3/2 in increasing order. -3/2, -4/5, -0.4, 1 Sort 3, -6, -2/9, -0.1. -6, -2/9, -0.1, 3 Put 3/4, 5/2, 2, 4 in descending order. 4, 5/2, 2, 3/4 Sort 14, 1, 3, 4 in decreasing order. 14, 4, 3, 1 Put 3/4, -5, -1/3, 0.6, 4/3 in ascending order. -5, -1/3, 0.6, 3/4, 4/3 Put -4, 3, -0.1, -1/26 in ascending order. -4, -0.1, -1/26, 3 Sort -4, 4, -7, -2. -7, -4, -2, 4 Sort -0.24, 4, -0.1, 2/11 in ascending order. -0.24, -0.1, 2/11, 4 Sort -4, -25, 0, -7 in descending order. 0, -4, -7, -25 Sort 4, -1, -413 in decreasing order. 4, -1, -413 Sort -3, 3, -7, 5. -7, -3, 3, 5 Sort 5, 2, -2, 11 in ascending order. -2, 2, 5, 11 Put 0.7, -2, 48, 2/15 in decreasing order. 48, 0.7, 2/15, -2 Put 2, 3, -0.2, -5, 64 in ascending order. -5, -0.2, 2, 3, 64 Sort -1/3, -2/11, -2551 in ascending order. -2551, -1/3, -2/11 Sort 3, -4, -2.7, -19, -2 in ascending order. -19, -4, -2.7, -2, 3 Put 0, -5, 1, -18 in increasing order. -18, -5, 0, 1 Sort -8, -5/8, -2 in decreasing order. -5/8, -2, -8 Sort -5, 0, -0.3, 12 in decreasing order. 12, 0, -0.3, -5 Sort -5, 12, 3, -2. -5, -2, 3, 12 Put 18, -3, 4 in descending order. 18, 4, -3 Put 42, 6, 5 in ascending order. 5, 6, 42 Sort 44, -2/7, 0.5, -3/2 in ascending order. -3/2, -2/7, 0.5, 44 Put 4, 307, 1 in increasing order. 1, 4, 307 Put 261, 0, -0.5 in decreasing order. 261, 0, -0.5 Put 0, 6, -4 in descending order. 6, 0, -4 Sort 1, -4, 0, 53. -4, 0, 1, 53 Put -1.83, 4, -2/3, 35, -2/5 in increasing order. -1.83, -2/3, -2/5, 4, 35 Sort 0.1, -1/3, 1.213. -1/3, 0.1, 1.213 Sort -18, 4, 1/2 in ascending order. -18, 1/2, 4 Sort 60, 0.5, 1 in decreasing order. 60, 1, 0.5 Sort -1/3, 1/5, 10, 0.06, 1/11 in increasing order. -1/3, 0.06, 1/11, 1/5, 10 Put -51, 4, -6, 1, 3 in ascending order. -51, -6, 1, 3, 4 Put -2, -570, -3 in ascending order. -570, -3, -2 Sort 4.4, 0.2, 2, -4 in descending order. 4.4, 2, 0.2, -4 Sort 14, -7, -5 in ascending order. -7, -5, 14 Put -7, -3/5, -0.3, 0.5, -1 in decreasing order. 0.5, -0.3, -3/5, -1, -7 Sort -4, 3, 2 in ascending order. -4, 2, 3 Sort -1/47, -2/9, 0.1, -2/19 in ascending order. -2/9, -2/19, -1/47, 0.1 Put 0.8, 1, 33 in increasing order. 0.8, 1, 33 Sort 3, -3, 5, 50. -3, 3, 5, 50 Sort 0.2, -5/12, -4 in increasing order. -4, -5/12, 0.2 Put 0, -50, -4, 2 in decreasing order. 2, 0, -4, -50 Sort 2, -6, -683 in descending order. 2, -6, -683 Put 4, -0.05, -5.5 in decreasing order. 4, -0.05, -5.5 Put -4/5, 0.4, -0.4, -11/147 in increasing order. -4/5, -0.4, -11/147, 0.4 Put 5, -2, 11, 1,
{ "pile_set_name": "DM Mathematics" }
*6/24 - d**5/4 - 24*d**2. Factor j(i). -5*i**2*(i + 3) Let t(r) = 5*r**2 + 2*r + 7. Let u(f) = -3*f**2 - 6*f + 1. Let q(a) = a - 1. Let z(v) = 5*q(v) + u(v). Let x(n) = -4*t(n) - 7*z(n). Let x(h) = 0. Calculate h. 0, 1 Suppose 5*k = 25, 2*k + 9 - 7 = 2*f. Factor -f*x**3 - 3*x - 3/2 + 21/2*x**2. -3*(x - 1)**2*(4*x + 1)/2 Let p(o) be the first derivative of 21/4*o**4 + 3/2*o**2 + 9/5*o**5 + 0*o + 5*o**3 + 4. Solve p(r) = 0 for r. -1, -1/3, 0 Let i(b) be the second derivative of b**5/18 - 4*b**4/27 + b**3/27 + 2*b**2/9 + 3*b. Let i(v) = 0. Calculate v. -2/5, 1 Suppose f - 6*f = -5. Let a be f + (1 - (-3 - -3)). Let -2/9*k + 0 - 2/9*k**a = 0. What is k? -1, 0 Factor 0*v**3 - 2/7*v**4 + 2/7*v**2 + 0*v + 0. -2*v**2*(v - 1)*(v + 1)/7 Factor 2*m**3 - 3*m - m + 4 - 6*m + 4*m. 2*(m - 1)**2*(m + 2) Let h(l) = l**3 + 15*l**2 + 13*l - 4. Let v be h(-14). Suppose 2*j + 2*q = -0*j + 4, v = 5*j + 2*q. Determine t so that 1/3*t**3 + 2/3*t**j + 0*t + 0 = 0. -2, 0 Let q be (-135)/756 - (-3)/4. Factor 0 + q*k - 2/7*k**2. -2*k*(k - 2)/7 Factor 1/3*g**3 + 0*g**2 + 1/3*g**4 + 0 + 0*g. g**3*(g + 1)/3 Let r(m) = -m**2 + 8*m - 2. Let g be r(6). Factor 9*u**3 + 11*u**3 + 10*u**4 + 3 + 7*u**2 - 1 + 13*u**2 + g*u + 2*u**5. 2*(u + 1)**5 Factor 3/2*l + 3/4*l**2 + 3/4. 3*(l + 1)**2/4 Let h(a) = -7*a**2 + 8*a. Let w(c) = 15*c**2 - 15*c. Let g(q) = -9*h(q) - 4*w(q). Suppose g(l) = 0. Calculate l. 0, 4 Let k(x) be the first derivative of -3 - 1/9*x**3 + 1/18*x**4 - 1/90*x**5 + 1/9*x**2 - 3*x. Let b(h) be the first derivative of k(h). Factor b(w). -2*(w - 1)**3/9 Let v(h) = h**3 + 16*h**2 + h + 20. Let p be v(-16). Let r be ((-2)/p)/(15/(-10)). Let -1/3 - 1/3*s + 1/3*s**2 + r*s**3 = 0. Calculate s. -1, 1 Suppose 0 = 4*w + l - 31, -2*l = 4*w - 7*l - 37. Suppose -3*g = -2*k - w, 0 = -2*g + 3*g - 4*k - 6. Factor -n**5 - n**4 + n**3 + n**g + 0*n**5 + 0*n**5. -n**2*(n - 1)*(n + 1)**2 Suppose -q - 3*w = -5, -q + 3*q - 2 = 2*w. Let a = 25 - 74/3. Factor -n + 2/3 + a*n**q. (n - 2)*(n - 1)/3 Suppose -10 = -5*o, -o + 2*o = n + 1. Factor n - 1/4*u**2 - u + 1/4*u**3. (u - 2)*(u - 1)*(u + 2)/4 Let l = 1/820 - -1629/9020. Solve -l + 4/11*p - 2/11*p**2 = 0 for p. 1 Let b(y) = -3*y - 4. Let r = 5 - 8. Let f be b(r). Factor f*c**3 - 4*c**3 + 0*c**3. c**3 Let f(l) be the third derivative of l**8/672 - l**7/420 - l**6/240 + l**5/120 + 2*l**2. Let f(s) = 0. Calculate s. -1, 0, 1 Let y be 4 - 4*7/28. Factor -6/5*s - 3/5*s**2 + 0 + 3/5*s**y. 3*s*(s - 2)*(s + 1)/5 Let q = 16/19 + -13/38. Factor 1/4*u + 0 - q*u**2 + 1/4*u**3. u*(u - 1)**2/4 Suppose 0*j + 1 = j - 2*m, 0 = 4*m - 8. Let q(v) = -4*v**2 + v - 5. Let a(o) = -6*o**2 + o - 7. Let h(u) = j*a(u) - 7*q(u). Determine b so that h(b) = 0. -1, 0 Let n(h) = -8*h**3 + 20*h**2 - 52*h + 28. Let g(f) = 7*f**3 - 21*f**2 + 51*f - 29. Let i(l) = -4*g(l) - 3*n(l). Factor i(w). -4*(w - 2)**3 Let f(z) be the third derivative of z**7/7560 - z**6/1080 + z**5/360 + z**4/8 - 2*z**2. Let h(i) be the second derivative of f(i). Let h(c) = 0. What is c? 1 Let s(d) be the first derivative of d**3 - 3*d**2/2 - 15. Determine m so that s(m) = 0. 0, 1 Let u(y) be the second derivative of 2/5*y**5 + 0*y**2 + 0*y**3 + 2*y - 1/6*y**4 + 0. Suppose u(a) = 0. What is a? 0, 1/4 Let i = -20 - -23. Solve -24/5 + 3/5*r**i - 18/5*r**2 + 36/5*r = 0 for r. 2 Let t(q) = -q**3 + 2*q**2 - 1. Let f be t(1). Suppose -j - 3*j + 12 = f. Let 2/5*b + 2/5 - 2/5*b**2 - 2/5*b**j = 0. Calculate b. -1, 1 Suppose 5*n - j = -55, -6*j + 3*j - 51 = 3*n. Let k = n - -49/4. Factor -1/4*c**2 + 0 - k*c. -c*(c + 1)/4 Let c = -32 + 67/2. What is r in -7/2*r + c*r**2 + 1 = 0? 1/3, 2 Let t = 4 + 1. Suppose -2*d = 3*w - 18, -t*d = -2*d - w - 5. Determine x, given that 2/5*x + 0 + 8/5*x**2 + 2*x**d + 4/5*x**4 = 0. -1, -1/2, 0 Let o(n) = -9 + 4*n**4 + 4*n**3 - 3*n**2 + 2*n + 7*n - 6*n**2 + 0*n. Let l(d) = -2*d**4 - 2*d**3 + 4*d**2 - 4*d + 4. Let f(j) = -9*l(j) - 4*o(j). Factor f(a). 2*a**3*(a + 1) Let r = 3671/3 + -1223. Let v be 3*(2 + 0 - 1). Determine a so that 4/3*a**v + 2/3*a**4 - 4/3*a - r*a**2 + 0 = 0. -2, -1, 0, 1 Let c(w) = -23*w**2 + 17*w + 6. Let z(b) be the second derivative of -b**4 + 3*b**3/2 + 3*b**2/2 + 4*b. Let i(s) = -3*c(s) + 5*z(s). Factor i(t). 3*(t - 1)*(3*t + 1) Let a(k) be the third derivative of k**6/480 + k**5/80 + k**4/48 + 6*k**2. Factor a(y). y*(y + 1)*(y + 2)/4 Let z(l) be the first derivative of -64*l**4 + 64*l**3 - 24*l**2 + 4*l - 15. Factor z(u). -4*(4*u - 1)**3 Let c be (-157)/(-3) - 1/(-1). Let u = 54 - c. Let 0 - 1/3*p**5 + 0*p**4 + 0*p**2 - 1/3*p + u*p**3 = 0. Calculate p. -1, 0, 1 Let c = -12 - -16. Let n(z) = -5*z**2 + 6*z - 5. Let j(m) = -1 + 0 - 3 - 4*m**2 + 5*m. Let w(r) = c*j(r) - 3*n(r). Factor w(o). -(o - 1)**2 Let 3 + 20*j - 121*j**5 - 10*j**4 + 116*j**5 + 40*j**2 + 15*j**3 - 3 = 0. Calculate j. -2, -1, 0, 2 Let x be (-20 - -4)/4 - -5. Let h be x*(2 - 6/4). Factor 0 + 1/2*d - h*d**2. -d*(d - 1)/2 Let h(l) = l - 1. Let r(p) = p**2 + 3. Let b = 4 - 1. Let w(k) = -k + 4. Let d be w(b). Let n(s) = d*r(s) + 2*h(s). Find g, given that n(g) = 0. -1 Let x(g) be the second derivative of -g**4/3 + 4*g**3 - 18*g**2 - 7*g. Factor x(z). -4*(z - 3)**2 Let g(z) be the first derivative of 0*z**2 + 1/6*z**3 + 3 - 1/2*z. Factor g(l). (l - 1)*(l + 1)/2 Let v = 16/13 + -86/91. Factor -2/7*f**3 + 2/7*f + 2/7*f**2 - v. -2*(f - 1)**2*(f + 1)/7 Let v(p) be the second derivative of -p**6/10 + 3*p**5/20 + p**4/4 - p**3/2 + 24*p. Factor v(u). -3*u*(u - 1)**2*(u + 1) Let a be (2/(-6))/((-168)/72). Let m(n) be the first derivative of 2/35*n**5 - 2/7*n + a*n**4 - 2 - 2/7*n**2 + 0*n**3. Factor m(b). 2*(b - 1)*(b + 1)**3/7 Let i = -23 + 70/3. Let u(n) be the third derivative of 0 - i*n**4 - 1/30*n**5 - 4/3*n**3 + 0*n - n**2. Suppose u(k) = 0. Calculate k. -2 Let i be 2 - 24/81*6. Let m(b) be the first derivative of 0*b**3 - 4 + 2/45*b**5 - 1/9*b**4 + i*b**2 - 2/9*b. Determine r so that m(r) = 0. -1, 1 Let f(g) be the second derivative of g**6/300 + 3*g**5/200 - 2*g - 28. Factor f(n). n**3*(n + 3)/10 Let k(p) be the second derivative of p**7/42 - 7*p**6/30 + p**5/4 + 7*p**4/12 - p**3 + p - 3. Factor k(y). y*(y - 6)*(y - 1)**2*(y + 1) Let y(k) be the first derivative of k**3/21 + 2*k**2/7 - 5*k/7 + 15. Solve y(b) = 0. -5, 1 Let p = -1/5 - -19/45. Let t(m) be the first derivative of p*m**3 + 0*m + 2 + 2/3*m**2. Determine j so that t(j) = 0. -2, 0 Let z(s) be the first derivative of s**3/9 - s**2/3 + s/3 - 17. Factor z(a). (a - 1)**2/3 Let r(p) = -6 - 1 + 7*p**2 + 1 - 5*p**2 - 4*p. Let o = 9 + -5. Let g(q) = -5*q**2 + 8*q + 13. Let t(a) = o*g(a) + 9*r(a). Factor t(m). -2*(m + 1)**2 Let g(m) be the first derivative of -m**6/180 + m**5/30 + 4*m**3/3 + 9. Let d(v) be the third derivative of g(v). Determine r, given that d(r) = 0. 0, 2 Let v = -130 + -1. Let n = -1177/9 - v. What is k in n*k**2 - 2/9*k + 0 = 0? 0, 1 Let b = 9 + -7. Let a be (-6)/(-10) - (-1 + 0). Factor -6/5*x**b - 2/5 - a*x. -2*(x + 1)*(3*x + 1)/5 Let m(n) be the third derivative of n**5/20 + 13*n**4/4 + 169*n**3/2 - 20*n**2. Let m(j) = 0. What is j? -13 Let p(z) be the third derivative of z**8/112 - z**7/70 - z**6/40 + z**5/20 + 27*z**2. Find a such that p(a) = 0. -1, 0, 1 Let g(j) = -j + 6. Let q be g(5). Let r(m) = m**3 - m**2 - m. Let f(t) = -18*t**3 + 6*t**2 + 6*t - 3. Let y(l) = q*f(l) + 15*r(l). Factor y(b). -3*(b + 1)**3 Let x(y) be the first derivative of y**3/2 + 8. Factor x(k). 3*k**2/2 Let m(i) be the first derivative of -3*i**5/25 + 3*i**3/5 - 3*i**2/5 + 38. Determine c, given that m(c) = 0. -2, 0, 1 Let g(j) be the second derivative of 7*j + 0 + 0*j**2 + 2/21*j**3 - 1/14*j**4 + 0*j**5 + 1/105*j**6. Factor g(y). 2*y*(y - 1)**2*(y + 2)/7 Let t(n) be the second derivative of 0 + 9*n - 2/3*n**3 - 1/42*n**7 - 13/20*n**5 - n**4 + 0*n**2 - 1/5*n**6. What is u in t(u) = 0? -2, -1, 0 Let o(j) be the second derivative of -j**6/135 - j**5/30 - j**4/27 + 8*j. Suppose o(i) = 0. What is i? -2, -1, 0 Let w(v) be the second derivative of v**6/150 + v**5/25 - 8*v**3/15 + 3*v**2/2 - 3*v. Let u(j) be the first derivative of w(j). Factor u(z). 4*(z - 1)*(z + 2)**2/5 Let x(t) = 9*t**3 - 17*t - 3. Let n(q) = -5*q**3 + 9*q + 1. Let w(g) = 10*n(g) + 6*x(g). Factor w(y). 4*(y - 2)*(y + 1)**2 Let n(z) be the third derivative of z**6/200 - z**4/40 -
{ "pile_set_name": "DM Mathematics" }
- r. Let n be (-1)/2 + (-6)/(-4). Let a be j(n). Suppose 0 = -3*p + 15, -a*i - p + 32 = 3*p. Is i composite? True Let u(w) = w**3 + 9*w**2 + 7*w - 5. Let x be u(-8). Suppose 0 = -x*a - 0*j + 5*j - 2, 0 = 4*a - j + 14. Is (a/12)/((-2)/222) a prime number? True Suppose -5*g + 25 = -2*k, 3*g - 3*k - 25 = -2*g. Suppose -g*t + 924 + 31 = 0. Is t a composite number? False Let h(w) = -4*w - 13. Let c(o) = -17*o - 53. Let r(s) = -2*c(s) + 9*h(s). Is r(-9) composite? False Let x(q) be the third derivative of q**5/20 + 3*q**4/8 + 5*q**3/6 - 2*q**2. Is x(-9) composite? False Let v = -8 + 3. Let f(m) = -7*m**2 - 6*m + 11. Let c(p) = -p**2 - p + 1. Let a(x) = 5*c(x) - f(x). Is a(v) a prime number? False Let o(k) = 2*k**3 + 5*k**2 - 4*k + 1. Let b be o(3). Suppose -b - 637 = -5*u. Is u composite? True Let h(u) = 15*u - 1. Is h(8) composite? True Let d(j) = -j**2 - 5*j - 3. Let m be d(-3). Let x(z) = z**3 - 3*z + 1. Is x(m) prime? True Let x(q) = 3*q - 6*q - 6*q + 2*q**2 + 2. Let n(f) = f + 7. Let h be n(0). Is x(h) composite? False Suppose -5*g + 4253 = h, 3*g = -4*h + 1736 + 809. Is g a prime number? False Let a = 4996 + -2537. Is a a prime number? True Let m be -1 + 1 + (-5)/(-1). Suppose -p + 85 = 5*c - 662, -5*c = m*p - 755. Is c composite? False Suppose 2*x - x = 0. Suppose -2*i + 44 = -x*i. Is i composite? True Let y = 16 - 11. Let r(x) = -x + 7. Let d be r(y). Suppose -19 = -d*b + 27. Is b prime? True Let h(x) = -6*x + 49. Is h(-7) composite? True Let o(k) = k**3 + 5*k**2 + 2*k - 2. Let n be o(-3). Suppose 4*b + 82 = -n. Let q = 37 + b. Is q a composite number? True Let y = 1776 + 3395. Is y a prime number? True Let g = 148 - -275. Suppose -2*q = q - 3*f - g, 2*f = 4. Is q prime? False Let b(l) = -9*l - 2. Let w(m) = -8*m - 1. Let c(x) = 2*b(x) - 3*w(x). Suppose 2*a = 4*a - 4. Is c(a) a prime number? True Suppose n = 2*n + 4. Is n/(-22) - (-5580)/44 a prime number? True Is 788*-2*15/(-24) prime? False Let p = 7 + -11. Let u(t) = 4*t**2 + 7*t + 6. Let f be u(p). Suppose -2*c + f + 284 = 0. Is c a composite number? False Let k = 15 - 11. Suppose 2*j + k*u = -j + 20, u - 5 = j. Suppose j = -s + 5*d - 3, -3*d + 0*d - 22 = -4*s. Is s a composite number? False Let c(l) = -l**3 - 2*l**2 + 10*l + 8. Is c(-5) a prime number? False Suppose 4*i = 20, i - 3*i = 5*c - 1500. Is c composite? True Let r(v) = 5*v**2 + v + 11. Is r(-8) composite? True Let x(o) = -130*o + 41. Is x(-9) a prime number? False Is 3/((4/(-8))/((-1174)/12)) prime? True Let v(d) = -d - 6. Let r be v(-4). Is (-3 - (r - 264)) + 2 composite? True Suppose 2*o = -o - 4*l + 11701, 2*l = -10. Is o composite? False Suppose 8 = 3*v - 121. Is v a prime number? True Let m = -7 - -1. Let f = 9 - -6. Is m/f + (-374)/(-10) composite? False Suppose 150 = -2*o - o. Let j(b) = b**3 - 8*b**2 + 10*b - 9. Let c be j(8). Let d = c + o. Is d composite? True Let i(c) = -41*c - 20. Let y be i(-14). Let n = y + -337. Is n composite? True Is 179*(3 + -1 + -1) a composite number? False Suppose 120 = -7*b + b. Let l be -1 - (-1 + -42) - 1. Let z = b + l. Is z a prime number? False Let d(t) = t**2 - 8*t - 6. Let l be d(9). Suppose -4*b + l*m - 5*m + 2302 = 0, 1 = -m. Suppose 5*a = -181 + b. Is a composite? False Let c(d) = -6 - 2*d**2 + 6 - d**3. Let p be c(-2). Suppose 0*b + 2*b - 66 = p. Is b a prime number? False Let v(u) be the first derivative of -23*u**2/2 + 4. Is v(-5) composite? True Let t(j) be the first derivative of j**4/4 + 3*j**3 - 9*j**2/2 + 5*j + 2. Is t(-7) a composite number? True Let z(t) = t**3 - 3*t**2 + 4*t - 2. Let a be z(2). Suppose -5*d - 3 = -0*d + f, a*f + 6 = d. Suppose 3*o - 2*r - 505 + 116 = 0, -r + 2 = d. Is o prime? True Let c(l) = l**3 - 3*l**2 - 9*l - 7. Let o(k) = -2*k**3 + 7*k**2 + 18*k + 15. Let s(g) = -13*c(g) - 6*o(g). Is s(-6) a composite number? True Let g(r) = 31*r - 6. Let c be 2/(-5) - (-4)/10. Let a be -1 + 8 + (0 - c). Is g(a) prime? True Suppose -2*p = x + x - 16, -x + 20 = 4*p. Suppose -p*k + 340 = -184. Is k a prime number? True Let j(h) = 4*h**2 - h. Let r be j(1). Suppose -d = -3, r*f + 15 = -0*f + 4*d. Is (4*12 - 0) + f prime? True Let b(d) = 2*d**2 - 2*d - 3. Is b(-4) composite? False Suppose -2*v = -3*s + 16, s - 3*v + 3 = 13. Suppose 7 - 163 = -s*d. Is d composite? True Suppose 21 = -3*m + 3. Let j = -4 - m. Suppose i + 252 = 5*i + j*q, 0 = 3*i + 5*q - 175. Is i a composite number? True Let k = -3 - -6. Suppose -k*g = -0*g. Suppose -b - b + 158 = g. Is b prime? True Suppose -2*v - 3*v = -25. Suppose 28*y - 29*y + 131 = 0. Suppose k - 4*k + 151 = v*w, -3*k + 5*w + y = 0. Is k a composite number? False Suppose l = 4*p - 320, -4*l = 5*p - 2*l - 387. Is p prime? True Let c(w) = -w**3 + 5*w**2 + 5*w - 4. Let k be 3/(-6)*-8 - -1. Is c(k) composite? True Let d be -70*(-3)/6*7. Suppose 2*h = 5*s + 215 + d, 5*s = -h + 200. Let q = h - 141. Is q a composite number? False Let y(q) = q + 3. Is y(6) a prime number? False Let m be (-33)/2*(-16)/(-24). Let g = 7 + m. Let s(y) = 3*y**2 - 6*y - 5. Is s(g) a composite number? False Let f(z) = -z**3 + 2*z**2 - 3*z + 2. Let q be f(-4). Suppose 9*p + 365 = 14*p. Let t = q - p. Is t prime? True Let a(l) = l - 3. Let k be a(3). Let p(i) = -3 + k*i**2 + 0 + 6*i**2. Is p(-3) composite? True Is (1 + -2)*2 - (-564 + -11) a prime number? False Let y(b) = -b + 210. Let t be y(0). Let x = t - 138. Let p = x + -51. Is p a composite number? True Suppose 0 = -0*p + 4*p + 3*d - 1436, 3*p + 4*d - 1077 = 0. Is p composite? False Let h = -23 - -16. Is (-359)/h + 4/(-14) composite? True Suppose -3*l - 2*a = -2*l - 4223, 5*l - 2*a - 21055 = 0. Is l a prime number? False Let c(s) = 38*s**2 - 6*s + 7. Is c(3) a prime number? True Let t = 7 - 4. Suppose -t*i = -2*i - 47. Is i a prime number? True Let w(p) = 2*p**3 - 2*p**2 + 2*p - 1. Let q be w(1). Is (106/(-6))/(q/(-3)) a prime number? True Let y be (1 - 0)/((-2)/(-10)). Suppose -l = -0*l + 2*i - 191, y*i = 10. Is l composite? True Let x be (2*-3)/3 - -2. Suppose m = 3*g - 13, x = -4*g - m + 24 - 2. Suppose -18 = -g*o + 3*j + 104, -o = j - 18. Is o a composite number? True Let n be ((-2)/(-1))/2*46. Suppose -k - n = 126. Let b = -93 - k. Is b a prime number? True Suppose 2*l + l = 5*q + 1715, 5*q + 20 = 0. Is l composite? True Let j be (-2)/(-3) - 12/18. Suppose 3*l + 2*l - 10 = j. Suppose 2*x + 434 = l*q, 0 = -x + 6 - 2. Is q composite? True Suppose 3673 + 2962 = 5*o. Is o composite? False Let t(u) = u**3 + 6*u**2 + 4*u + 6. Suppose 2*k = -3*v + k + 32, 2*k + 68 = 5*v. Let w = 7 - v. Is t(w) composite? False Let q be (9/(-12))/(1/(-84)). Let p = q - -60. Let f = p - 4. Is f a composite number? True Suppose 0 = -5*x + p - 7, -8 = p - 5*p. Let w = 34 - x. Is w prime? False Let u(f) be the second derivative of 55/6*f**4 + 1/3*f**3 - 2*f + 1/2*f**2 + 0. Is u(-1) a composite number? False Suppose -3902 + 449 = -3*s. Is s a composite number? False Let s(p) = 14*p - 3. Suppose 4*c - 18 = 2. Is s(c) a composite number? False Let t = 308 - -213. Is t composite? False Let t(b) = -b**3 - 11*b**2 - 10*b + 4. Let s be t(-12). Suppose -4*d - 137 = -3*d. Let m = s + d. Is m prime? True Let m(b) = 4871*b**2 - 2*b + 2. Is m(1) composite? False Let w(i) = -105*i + 1. Let j(z) = -z. Let t(h) = -3*j(h) - w(h). Is t(4) composite? False Suppose 4*h - 8*o - 11235 = -5*o, -2814 = -h - o. Is h a prime number? False Let b(l) = -10*l**3 - 4*l**2 - 4*l - 2. Let c be b(-3). Let y = -41 + c. Is y a prime number? False Suppose -4*t = -33 - 15. Let a = -7 + t. Suppose -j - a = -42. Is j a composite number? False Let t = 2514 - 857. Is t composite? False Let b be 2 - 101/(-2)*4. Let l = b - -113. Is l prime? True Let r(c) = c**2 + 2*c - 3. Let w be r(2). Suppose -g - 2 + w = 0. Suppose 0 = -g*u + 23 + 88. Is u a composite number? False Suppose 202 = 3*o + o - 2*a, 5*a + 81 = 2*o. Is o composite? False Let i(c) be the first derivative of 4*c**3/3 - 2*c**2 - 5*c - 2. Is i(7) a prime number? True Let o(z) be the third derivative of 41*z**4/24 - 5*z**3/6 - 6*z**2. Is o(4) prime? False Let s(z) = -3*z + 6. Let h = 4 + 0. Suppose -h*k - 18 = -2*k. Is s(k) a composite number? True Suppose 5*f + 5*c = 1135, -2*f - 4*c = 155 - 619. Let v = f + -108. Let a = v - 37. Is a a prime number? False Let b be 4/6 + (-25)/(-3). Let n = b - -1. Is n + 2/
{ "pile_set_name": "DM Mathematics" }
k**2). -6414*k**3 Expand 3*d**3 - 2*d**3 - 4*d**3 + (0*d**3 - d**3 - 2*d**3)*(15 - 30 - 68). 246*d**3 Expand (14*j**2 - 24*j**2 + 110 + 6*j**3 - 112 + 4*j**5)*(5 + 1 - 4). 8*j**5 + 12*j**3 - 20*j**2 - 4 Expand (0 - 3 + 1)*(-4*l**3 + 4*l**3 - 2*l**3) + 3*l**3 + 4*l**3 - 5*l**3 + 0*l**3 + l**3 - 2*l**3 + l - 30*l**3 + l + 12*l**3. -13*l**3 + 2*l Expand (-270 + 270 - 3*y)*(-50*y + 1 - 3 + 26*y). 72*y**2 + 6*y Expand (-3*t + 0 + 0 + 1)*(-6 + 5 - 3)*(-1701 - 579 - 1236 + 377). -37668*t + 12556 Expand (-2 + j - 3*j**2 + 2 + (4 - 4 - j)*(-2*j + 3 - 3))*(605*j + 650*j - 253*j + 699*j). -1701*j**3 + 1701*j**2 Expand -4*w - 2578 - 4*w**2 + 2578 + (w + w**2 - w)*(5 - 3 - 3) + w**2 + 2*w**2 - 5*w**2. -7*w**2 - 4*w Expand (-2*q**3 + 5*q**2 - 5*q**2)*((0 + 0 - q**2)*(-3 + 3 - 1) + 5*q**2 + 0*q + 0*q - 7*q**2 + 11*q**2 - 63*q**2). 106*q**5 Expand 54*g**5 - 99*g**5 - 653*g**5 + (-3*g**3 + 5*g**3 + 0*g**3)*(2*g**2 + 2*g - 2*g) + g**5 + g**5 - 4*g**5. -696*g**5 Expand (-x - 2*x + x)*(4 - 2 + 0)*(-471 - 2*x + 471)*(8 - 4 + 6 + (0 + 4 - 3)*(-6 + 2 + 2))*(0*x**3 - 4*x**3 + 2*x**3). -128*x**5 Expand 0*z**5 + 2*z**5 - z**5 + (-z + z + 2*z)*(-z**4 - z**4 - 2*z**4) + 5 - z**5 - 5 + 5*z**4 + z**5 - 5*z**4 + z**5 - z + z - 54*z**5 + 15*z**5 - 37*z**5. -82*z**5 Expand (1 - 5 + 3)*(b**5 + 4*b**5 + b**5) - 13*b**5 - 55*b**2 + 55*b**2 + (-4*b**4 + b**4 + 2*b**4)*(-b - 5*b + 5*b) - b**5 + 5*b**5 - b**5. -15*b**5 Expand -g + 2*g - 2*g + (5*g - 4*g + 0*g)*(4 - 2 - 3) - 687*g - 347*g + 2596*g + 4453*g. 6013*g Expand (2 + 3 + 2*c - 3)*(-90 + 95 + 72)*(8*c + 3*c - 4*c). 1078*c**2 + 1078*c Expand j**4 + 0*j**3 + 0*j**3 + (-3*j + 3*j - 2*j**3)*(-j - j + 4*j) + (12*j**3 + 4*j**3 + 0*j**3)*(12 - 12 + 311*j). 4973*j**4 Expand (-1641*b**4 - 1664*b**4 - 228 - 3*b + 3307*b**4)*(-3*b + 3*b - b). -2*b**5 + 3*b**2 + 228*b Expand -6*b + 4*b - b + (-3 - 4 + 6)*(b - 3*b + b) + 1648*b - 114861 + 114861. 1646*b Expand (q**2 - 2 + 2)*(-2*q**2 + q**2 + 3*q**2)*(-2053 + 5824*q + 6046 - 5825*q). -2*q**5 + 7986*q**4 Expand -410068 + 2137*n + 410068 + (-2*n + 0 + 0)*(2 + 0 + 0). 2133*n Expand (-106*s**2 - 4*s + 10*s + 139*s**2)*(-21 - 6*s + 21)*(0 - 2 + 0 - s). 198*s**4 + 432*s**3 + 72*s**2 Expand (-2*s + 5*s - s)*(-s + s + s)*(s - 2*s + 2*s)*(93860 - 93860 - 8067*s). -16134*s**4 Expand -494*s**3 - 1088*s**3 + 414*s**3 + s**3 + s - s + 2*s**3 + 5*s - 5*s - 4*s**3 - 3*s**3 + 5*s**3 + (-4*s - s + 3*s)*(2*s**2 - 3 + 3). -1171*s**3 Expand 6*x**3 + 3*x**3 + 0*x**3 + (-3 - 2 + 6)*(-21*x**3 - 31*x**3 + 17*x**3). -26*x**3 Expand (-342*y**3 - 143*y**3 - 7*y**3)*(-3*y**2 - 5*y**2 + 3*y**2) + y**2 + y**5 + y**5 + 0*y**2. 2462*y**5 + y**2 Expand (-g**4 + 5*g**4 - 5*g**4 + ((g + g + 0*g)*(-4*g + g + 2*g) + 4*g**2 - 4*g**2 - 2*g**2)*(0 - 5 + 3)*(-47*g + 85*g**2 + 47*g))*(2 - 2 + 8*g). 5432*g**5 Expand (2404 + 2*m - 1549 + 1476)*((0*m**2 + 3*m**2 - 5*m**2)*(2*m + 0*m + 0*m) + m**3 - 3 + 3 - 2*m**3 + 3*m**2 - 3*m**2). -10*m**4 - 11655*m**3 Expand (5*s - 3*s + 2*s)*(3*s**2 - 5*s**2 + 3*s**2) + 0*s**3 + 5*s**3 - 4*s**3 + (-4110 + 4110 + 77*s)*(1 - 3*s**2 - 1 + (-3*s + 2*s + 4*s)*(1 - 1 - 3*s)). -919*s**3 Expand 2*n**4 + 2*n**4 + 3*n**4 + (2*n**3 - 9*n**3 + 13*n**3)*(1 - 2*n - 1) - 3*n**4 - 4*n**4 + 6*n**2 - 7*n**2. -12*n**4 - n**2 Expand 7779*s**2 + 55655*s - 55655*s + (-4*s - 4*s + 4*s)*(-s - 3*s + 2*s) + s - s**2 - s. 7786*s**2 Expand (-39 + 3*s + 39)*(5 - 1 - 3)*(2*s**4 - 35*s**4 + 295*s**4). 786*s**5 Expand 38*w**2 - 12*w + 13*w**3 - 36*w**2 + 14*w + (-9*w**2 + w**2 + w**2)*(-w - w + 4*w) - 4*w**3 + 2*w**2 - 2*w**2. -5*w**3 + 2*w**2 + 2*w Expand -v**2 - 1 + 1 + v**2 + 2*v**2 - v**2 - 2*v**2 + 2*v**2 - 2*v**2 + (v - v + v)*(-2*v + 2*v + v) + 0*v + 2*v**2 + 0*v + v**2 + 5*v**2 + 7*v**2 + v**2. 16*v**2 Expand (4*n - 4*n - n**2)*(1881*n + 1978*n - 3473*n). -386*n**3 Expand (-2*a + 2*a + a)*(6 - 1 + 20)*(-14 + 56 + 32). 1850*a Expand (115 + 112 - 230)*(7*q - 3*q + 0*q) + (3 + 3 - 3)*(2*q - q + 0*q - q + 3*q + 0*q + (-3 + 3 - 2*q)*(3 + 0 - 4) - q + 6*q - 3*q). 9*q Expand (-241 - 217 + 481)*(-4 - s + 4)*(-25 + 29 + 19). -529*s Expand ((2 - 2 - 2*w)*(-5*w + w + 5*w) + w**2 - 5*w**2 + 3*w**2 - 13*w + 13*w - 18*w**2)*(3*w - 3*w + 2*w**2). -42*w**4 Expand (67*m - 23*m - 34*m)*(-190 - 155 + 78). -2670*m Expand (-108*z**2 + 73*z**2 + 62*z**2)*(2 - 2 + 2*z)*(2 - 2 + 3*z**2). 162*z**5 Expand (-52*f + 36*f - 54*f)*(15*f**4 - 11*f**4 - 15*f**4 + (f + 0*f + 0*f)*(-f**3 + f**3 + 2*f**3) - 4*f**4 + f**4 + 2*f**4). 700*f**5 Expand (9 + 25 - 6)*(-j - 4*j + 2*j + (-2*j + 2*j - j)*(-2 - 2 + 2) - 7 + 7 - 5*j). -168*j Expand (3*f + 2*f - 7*f)*(-1 + 5 - 2)*(62 - 1612 + 455). 4380*f Expand (5*f + 9*f + 6*f)*(-f**3 - 7 + 7)*(12 - 9 + 11). -280*f**4 Expand (3*p - 5*p + 4*p)*(6 - 3 - 4) - 6*p + 5*p - 9*p + (-3*p + p + 4*p)*(-24 - 4 + 44). 20*p Expand ((-108 + 130 - 105)*(1 - 1 + 2) + 3 - 1 - 4)*(4*g + g - 2*g). -504*g Expand (0 + 2 - 1)*(2*q - 3*q + 2*q) + (324 + 13*q - 324)*(-45 + 3 - 3 + 4 - 4 + 2 + (-1 + 2 + 1)*(1 + 3 - 3) + 0 + 5 - 3)*(-6 + 2 + 2). 1015*q Expand ((1 + 1 + 1)*(5 - 1 - 3) + 0 + 6 + 0)*(-243*b**2 + 123*b**2 + 122*b**2 - 46 + 3*b)*(-2 + 3 - 2)*(3 + 1 - 3). -18*b**2 - 27*b + 414 Expand (-5 - 2*o + 5)*(-2 + 0*o - 2 + 3*o)*(15*o**2 - 10*o + 15*o - 30*o**2). 90*o**4 - 150*o**3 + 40*o**2 Expand ((-5 + 2 + 4)*(13 - 3 + 11) + (-2 + 1 + 0)*(-1 + 4 - 2) - 1 + 1 + 2)*(-3*h + 3*h + h**2). 22*h**2 Expand (-3*m + 3*m - 2*m)*(-35020 + 35020 - 2131*m). 4262*m**2 Expand -n**3 - 3*n**3 + 5*n**3 + (2*n**3 - n**2 + n**2)*(2 - 3 + 0) + (2*n**2 - 4*n**2 + 4*n**2)*(0 - 2*n + 0) + (14 + 7 - 13)*(-20*n**3 + 379*n - 379*n). -165*n**3 Expand 2*v - 2*v + 3*v**3 + (161 - 147 + 326)*(-3*v + 2*v - v)*(-v**2 - v**2 + 0*v**2). 1363*v**3 Expand (196186 - 590*t - 196186)*(0 + 0 + 1) - 5*t + 0*t + 10*t. -585*t Expand -9 - 8*s**3 + 9 + (s**2 + 5*s**2 - 4*s**2)*(5*s - 5*s + s) + 0 + 0 - s**3 + s**3 - 3*s**3 - s**3 + 5*s**3 + s - s. -5*s**3 Expand -1696*j + 1689*j + 11*j**5 + 52*j**5 + (0*j**3 + 2*j**3 - 5*j**3)*(-2*j**2 - j**2 + 2*j**2). 66*j**5 - 7*j Expand (0 + 6 - 2 + 9 - 7 + 8 + (1 - 3 + 1)*(-4 + 3 + 2))*(4 + 3 - 4)*((11 + 0 - 4)*(-4*u + 0*u + 3*u) + 3*u + 0*u + 0*u). -156*u Expand (17 - 11*b - 17)*(3*b**3 + 4*b**3 - b**3). -66*b**4 Expand (4*a**2 - 5*a**2 - a**2)*(-346*a**3 - 264*a**3 - a**2 + 142*a**3). 936*a**5 + 2*a**4 Expand (7*o + 6*o - 11*o)*(3*o**4 - 4*o**4 - o**4) - 124*o**5 + 609*o**5 + 413*o**5. 894*o**5 Expand (4*k**2 + 2*k**3 - 4*k**2)*(-12436*k - 2838294 + 2838294). -24872*k**4 Expand (29 + 500 + 5080 + 1337)*(0 + 2*p + 0). 13892*p Expand ((0 + 6 - 2)*(-j + 0*j - 3*j) + 2 - 2 - 2*j)*(-246 + 246 + 164*j**2). -2952*j**3 Expand (5 - 5 - 2)*(4 - 2 - 1)*(-10*j**2 - 13*j**2 + 2*j**2) + 130*j**2 - 94*j**2 + 37*j**2. 115*j**2 Expand -w**3 - w**3 + w**3 + (1 - 2 + 3)*(-w**3 + 3*w**3 - 4*w**3) - w + w - 3*w**3 + (-141*w**2 + 141*w**2 + 118*w**3)*(4 + 2 - 3). 346*w**3 Expand -3*l + 6*l - l + (-6 - 1 + 46)*(-46 + 46 - 10*l). -388*l Expand -70*t**3 - 53*t**3 + 2 + t**2 + 83*t**3 + (2*t + 2*t - t)*(-5*t**2 - 3*t**2 + t**2). -61*t**3 + t**2 + 2 Expand (-9*o + 1403 - 1403)*(-2*o**2 + 2*o**2 - 3*o**4 - 6*o**4 - 2*o**2 + 2*o**2 + (-3*o**3 + 3*o**3 + o**3)*(o + 4*o - 3*o) + 5 + 3*o**4 - 5). 36*o**5 Expand (-4*o + 0*o + 0*o)*(1555 - 1555 + 15*o)*(2*o - 2*o**3 - 2*o). 120*o**5 Expand (0*p**2 + 2*p**2 - 3*p**2)*(10114 + 11496*p - 3372 - 3374 - 3368). -11496*p**3 Expand (-188 + 92 + 60*s + 109)*(-1 + 1 + 2*s). 120*s**2 + 26*s Expand (-3*t**2 + 6 - 6)*(18 + 21 + 3)*(2*t + 1 - 1) + 38 + 3*t**3 - 36 + 0*t**3. -249*t**3 + 2 Expand (0*t**2 - 2*t**2 + 3*t**2)*(-10 + 83 + 300)*(-1 + 3 - 1)*(0*t - 3*t + t). -746*t**3 Expand (-6*n**2 - 2*n**3 + 2*n**2 + 3*n**2)*(-91*n - 295833 + 295833). 182*n**4 + 91*n**3 Expand 1 - 315*h**2 + 315*h**2 + 257*h**3 + 3*h**3 + 18 - 14 - 5*h**3 + h**3 + h**3 + 0*h**3 + (2 + 1 - 4)*(-4*h**3 + 3*h**3 + 3*h**3) + h**3 - h**3 + h**3. 256*h**3 + 5 Expand -3*u**4 - 3*u**4 - 2*u**4 - 116*u**4 - 6*u + 4*u + 109*u**4 + (-2*u - 5*u + 3*u)*(-2*u**3 + 2 - 2). -7*u**4 - 2*u Expand (-2*c + 1 - 1)*(-2*c + 2 - 2) + 2*c - 2*c - c**2 - 239*c**2 + 237*c**2 + 378*c + 470*c. c**2 + 848*c Expand 87*x - 58*x - 55*x + 2*x**5 + (4*x**5 - x**5 - x**5)*(-5 + 4 + 0) + 5*x**4 - 3*x**5 - 5*x**4. -3*x**5 - 26*x Expand (24*v**3 + 31*v**3 - 12*v**3 + (-3*v + 3*v + v**2)*(v +
{ "pile_set_name": "DM Mathematics" }
94*u - 89585 What is the q'th term of -248319, -248328, -248341, -248358? -2*q**2 - 3*q - 248314 What is the w'th term of -2819, -9427, -20431, -35831, -55627? -2198*w**2 - 14*w - 607 What is the c'th term of -3413, -4716, -5985, -7220, -8421, -9588? 17*c**2 - 1354*c - 2076 What is the a'th term of 1847, 14561, 48987, 115973, 226367? 1808*a**3 + 8*a**2 + 34*a - 3 What is the j'th term of -1267457, -5069827, -11407111, -20279309, -31686421, -45628447? -1267457*j**2 + j - 1 What is the b'th term of -1700610, -3401293, -5101976, -6802659? -1700683*b + 73 What is the k'th term of 5541, 24347, 55673, 99513, 155861, 224711, 306057? -k**3 + 6266*k**2 + 15*k - 739 What is the f'th term of 16, -25, -114, -251, -436, -669, -950? -24*f**2 + 31*f + 9 What is the w'th term of 3869, 8109, 12337, 16553, 20757, 24949? -6*w**2 + 4258*w - 383 What is the w'th term of -917, -1147, -1561, -2171, -2989, -4027, -5297, -6811? -2*w**3 - 80*w**2 + 24*w - 859 What is the w'th term of 327905, 328057, 328473, 329285, 330625, 332625, 335417, 339133? 22*w**3 - 2*w + 327885 What is the m'th term of -112202, -145024, -177860, -210716, -243598, -276512, -309464, -342460? -m**3 - m**2 - 32812*m - 79388 What is the o'th term of 419718, 838113, 1256508, 1674903, 2093298, 2511693? 418395*o + 1323 What is the j'th term of 704524836, 704524835, 704524834? -j + 704524837 What is the i'th term of 3680, 5871, 8066, 10265? 2*i**2 + 2185*i + 1493 What is the i'th term of -1616, -3619, -5996, -8753, -11896, -15431? -i**3 - 181*i**2 - 1453*i + 19 What is the s'th term of 1588, 8014, 19274, 35374, 56320? s**3 + 2411*s**2 - 814*s - 10 What is the d'th term of 28831974, 28831972, 28831970? -2*d + 28831976 What is the i'th term of 1422, 1775, 2364, 3183, 4226, 5487? -i**3 + 124*i**2 - 12*i + 1311 What is the o'th term of -4666, -8832, -12998? -4166*o - 500 What is the u'th term of -26672, -214784, -725720, -1720892, -3361712? -26902*u**3 + 202*u + 28 What is the d'th term of 213187, 212827, 212467? -360*d + 213547 What is the c'th term of 10651, 22900, 35137, 47356, 59551, 71716? -c**3 + 12256*c - 1604 What is the m'th term of -4674, -5343, -6460, -8025, -10038, -12499? -224*m**2 + 3*m - 4453 What is the f'th term of 3276, 6575, 9960, 13473, 17156, 21051? 7*f**3 + f**2 + 3247*f + 21 What is the b'th term of -11091, -10972, -10753, -10434? 50*b**2 - 31*b - 11110 What is the n'th term of -6487263, -6487262, -6487261, -6487260? n - 6487264 What is the o'th term of 84154577, 84154575, 84154573, 84154571, 84154569, 84154567? -2*o + 84154579 What is the u'th term of 22179, 44255, 66273, 88233? -29*u**2 + 22163*u + 45 What is the y'th term of -67486, -269820, -607042, -1079152, -1686150, -2428036? -67444*y**2 - 2*y - 40 What is the z'th term of -1353291, -2706580, -4059867, -5413152, -6766435? z**2 - 1353292*z What is the d'th term of 8857, 8780, 8773, 8842, 8993, 9232, 9565, 9998? d**3 + 29*d**2 - 171*d + 8998 What is the o'th term of 644, 5615, 10586? 4971*o - 4327 What is the v'th term of -84903, -169951, -254997, -340041, -425083? v**2 - 85051*v + 147 What is the j'th term of -512394386, -1024788772, -1537183158, -2049577544, -2561971930, -3074366316? -512394386*j What is the x'th term of -22589, -52693, -82797? -30104*x + 7515 What is the b'th term of 274, 511, 846, 1273, 1786, 2379? -b**3 + 55*b**2 + 79*b + 141 What is the p'th term of -1562458, -1562430, -1562392, -1562338, -1562262, -1562158, -1562020? p**3 - p**2 + 24*p - 1562482 What is the d'th term of -3470, -3594, -3720, -3848? -d**2 - 121*d - 3348 What is the l'th term of -760, -3330, -7774, -14092? -937*l**2 + 241*l - 64 What is the d'th term of -24042, -94527, -211994, -376437, -587850, -846227? d**3 - 23497*d**2 - d - 545 What is the p'th term of -1721, -6790, -15139, -26690, -41365, -59086, -79775? 13*p**3 - 1718*p**2 - 6*p - 10 What is the k'th term of 23611, 45159, 66707? 21548*k + 2063 What is the m'th term of -510, -1293, -2432, -3915, -5730? 2*m**3 - 190*m**2 - 227*m - 95 What is the p'th term of 1718007, 3435813, 5153619, 6871425, 8589231, 10307037? 1717806*p + 201 What is the x'th term of -12883940, -12883938, -12883936, -12883934, -12883932? 2*x - 12883942 What is the c'th term of 2086407, 2086393, 2086379, 2086365, 2086351? -14*c + 2086421 What is the v'th term of -2309, -9222, -20747, -36884, -57633? -2306*v**2 + 5*v - 8 What is the u'th term of -28428, -58659, -88890, -119121? -30231*u + 1803 What is the j'th term of -1262990, -2525976, -3788960, -5051942, -6314922, -7577900? j**2 - 1262989*j - 2 What is the j'th term of -230593, -230586, -230575, -230554, -230517, -230458? j**3 - 4*j**2 + 12*j - 230602 What is the q'th term of -408430, -816914, -1225398? -408484*q + 54 What is the s'th term of -239369, -239351, -239323, -239285, -239237? 5*s**2 + 3*s - 239377 What is the k'th term of 74731, 144575, 214419, 284263? 69844*k + 4887 What is the c'th term of -35145684, -35145682, -35145678, -35145672, -35145664, -35145654, -35145642? c**2 - c - 35145684 What is the s'th term of -12257, -25304, -38351, -51398, -64445? -13047*s + 790 What is the p'th term of 318, 450, 750, 1284, 2118, 3318? 11*p**3 + 18*p**2 + p + 288 What is the f'th term of -9586, -10837, -12088, -13339? -1251*f - 8335 What is the b'th term of -1143353, -4573381, -10290087, -18293465, -28583509, -41160213, -56023571? b**3 - 1143345*b**2 - 9 What is the q'th term of 234638500, 234638493, 234638480, 234638461? -3*q**2 + 2*q + 234638501 What is the k'th term of 131186346, 131186345, 131186344, 131186343, 131186342? -k + 131186347 What is the a'th term of 157, 2639, 9391, 22549, 44249, 76627, 121819, 181961? 356*a**3 - a**2 - 7*a - 191 What is the g'th term of 1542374, 3084751, 4627128? 1542377*g - 3 What is the h'th term of -18850, -19036, -19218, -19396, -19570, -19740? 2*h**2 - 192*h - 18660 What is the v'th term of 10461570, 20923134, 31384692, 41846244, 52307790, 62769330, 73230864? -3*v**2 + 10461573*v What is the u'th term of 8548, 8228, 7920, 7630, 7364, 7128, 6928? u**3 - 327*u + 8874 What is the n'th term of 7683685, 7683737, 7683789? 52*n + 7683633 What is the z'th term of 12760, 51016, 114778, 204046, 318820, 459100? 12753*z**2 - 3*z + 10 What is the n'th term of -4382, -4303, -4236, -4181, -4138, -4107, -4088? -6*n**2 + 97*n - 4473 What is the h'th term of -129963, -127411, -124859, -122307, -119755, -117203? 2552*h - 132515 What is the u'th term of -6181830, -12363598, -18545366, -24727134, -30908902? -6181768*u - 62 What is the d'th term of 3319, 3490, 3967, 4906, 6463? 26*d**3 - 3*d**2 - 2*d + 3298 What is the m'th term of -2415, -2876, -4153, -6654, -10787, -16960? -68*m**3 + 15*m - 2362 What is the p'th term of 51726156, 51726152, 51726148, 51726144? -4*p + 51726160 What is the x'th term of 6249122, 6249124, 6249126, 6249128? 2*x + 6249120 What is the y'th term of -423652, -423807, -423962? -155*y - 423497 What is the h'th term of -259708, -519413, -779120, -1038829, -1298540, -1558253, -1817968? -h**2 - 259702*h - 5 What is the g'th term of -8987361, -8987365, -8987385, -8987427, -8987497, -8987601, -8987745, -8987935? -g**3 - 2*g**2 + 9*g - 8987367 What is the u'th term of 234, 503, 680, 543, -130, -1561, -3972? -37*u**3 + 176*u**2 + 95 What is the b'th term of -28018, -102672, -223962, -391888? -23318*b**2 - 4700*b What is the y'th term of -9884, -40466, -91436, -162794, -254540, -366674, -499196? -10194*y**2 + 310 What is the b'th term of -4051922, -4051906, -4051880, -4051844, -4051798, -4051742? 5*b**2 + b - 4051928 What is the z'th term of -1609, -1409, -1057, -553, 103? 76*z**2 - 28*z - 1657 What is the u'th term of -54116, -216692, -487690, -867104, -1354928, -1951156, -2655782, -3468800? u**3 - 54217*u**2 + 68*u + 32 What is the j'th term of 3132, 3071, 2914, 2613, 2120? -8*j**3 - 5*j + 3145 What is the o'th term of -913, -6949, -23331, -55231, -107821, -186273? -862*o**3 - o**2 + o - 51 What is the y'th term of 66589, 58020, 49449, 40876, 32301, 23724? -y**2 - 8566*y + 75156 What is the q'th term of -1391, -23351, -59951, -111191, -177071? -7320*q**2 + 5929 What is the y'th term of 166, -627, -1950, -3803, -6186? -265*y**2 + 2*y + 429 What is the d'th term of -715, -7549, -26093, -62203, -121735, -210545, -334489? -976*d**3 + d
{ "pile_set_name": "DM Mathematics" }
= 12*p + 32933*t, 5*t = 2*p for p. 10 Solve 2*z - 2*n - 40 = 0, 676*n - 1354*n = -z - 676*n + 18 for z. 22 Solve 39*c + 170 = -5*x, c + 1800*x = 1797*x + 10 for c. -5 Solve -3*q = -2151269*p + 2151266*p - 9, 5*p + q + 7 + 14 = 0 for p. -4 Solve 19*w - 10*j = -4*j - 20, -53*j + 50*j = w - 10 - 42 for w. 4 Solve -g - 45 = 3*v, -2*g + 3*v - 3508 + 6876 = -0*v + 3440 for g. -39 Solve 0 = -n - 3*n - 2*n + 317*b - 316*b + 33, -30 = 2*b for n. 3 Solve -3*t + 25 = -10*m, -46*m - 44*m - 11 = 3*t + 43*m - 134*m for t. -5 Solve 0 = -h + 2012 - 2010, -3*h + 12 = -2*w for w. -3 Solve 15*t + 2*d - 10 = 4*t, 9*d + 34 = -t + 3*d for t. 2 Solve -327*a = -326*a + q + 41, 9*a = -q - 81 for a. -5 Solve -4*n = -4*m + 108, 1362*m + 28 = -n + 1364*m for n. -26 Solve 5*r - 747 + 1490 = -5*q + 758, 2*r = 3*q + 16 for r. 5 Solve 2*r - 4*o = o + 8, 0 = 2*r - 2*o - 2285 + 2271 for r. 9 Solve 37*i - 42*i + 141 = 8*q + 22, 20*i - 47 = q for q. 13 Solve -2*x - 386 = 2*x - 107*f, 2*x + 5*f = -292 + 216 for x. -43 Solve 4*c - 10 = 7*l, 47*c + 7 = -3*l + 43*c - 3 for l. -2 Solve 126 = -3*l - 3*u, 3*l - 1712 = -u - 1758 for l. -2 Solve -4*d - 95 + 3 = -4*s - 4, 0 = 3*s - 5*d - 76 for s. 17 Solve -235 = 3*a + 243*l - 209*l, 2*a + 32 = 6*a - 4*l for a. 1 Solve -30*q + 280 = -5*g, 3*g = g + 3*q - 1159 + 1137 for g. 4 Solve 4*f - 46*t - 126 = -0*f, -3*f - 346 + 349 = -4*t for f. -3 Solve -1 = 2*o - 3*k - 147 + 92, 3*o + 7*k = 104 for o. 30 Solve 414*s - 1272 = -3*h + s, 3*s + 207 - 172 = 4*h for h. 11 Solve m + 26 = 10*u, -m - 990*u + 985*u + 19 = 0 for m. 4 Solve -2*c - 4*s - 31 = 3, 5158 = 4*c - 4*s + 5190 for c. -11 Solve 0 = -5*d + 20*k - 25*k - 65, 31 = d - 4*d + 5*k for d. -12 Solve 11*w + 269 = 11*i + 8*w, 20*i - 16*i = 8*i - 3*w - 94 for i. 25 Solve 4*u + 76*a - 42*a + 23 = 31*a, 14*a + 39 = -5*u for u. -5 Solve 3*y = -39*q + 201, 4*q - 8*q + 2*q + 4*y = 32 + 74 for q. 3 Solve -5*o + 10 = 4*g, 0 = o + 2*g + 48120 - 48128 for o. -2 Solve -4 = 2*k, 8*k + 89 + 148 = -19*f - 0*f + 3*k + 37 for f. -10 Solve -4954*i = -4951*i + c + 109, i + 2*c = -38 for i. -36 Solve -3*h + g = -4, -9*h = -g - 1112 + 1132 for h. -4 Solve -81*o + 77*o - 4*z = 40, -5 = -4*o - z for o. 5 Solve 1406*k = 2*n + 1428*k + 326, 2*n = 4*n + 2*k + 26 for n. 2 Solve z + 4*z - 132 = 6*j, -9*j + 2*j = -3*z + 16*j - 0*j + 118 for z. 24 Solve -4*d + 83 = -9*q - 3*d + 94, 2*q - d = 4 for q. 1 Solve 0 = u - 4*u - y + 15, -5*u + 23*y - 20 = -45 for u. 5 Solve -149 + 46 = 104*f - 5*u + 75, u - 2 = 4*f for f. -2 Solve -8 = -5*m + 2*s, 7337*m + 3*s - 4*s = 7334*m + 5 for m. 2 Solve 127*m - 4 - 106 = 130*m + 5*c, 0 = m - 5*c + 70 for m. -45 Solve 2*v + 2*v - 4*g = 2*v - 114, 9*g - 131 = -5*v + 3*g for v. -5 Solve -17879 = c + y + 17888 - 35759, 2*y = y - 2*y for c. -8 Solve 4*s = -8*o - 32, -223690 = 4*o + 5*s - 223668 for o. -3 Solve 89*a + 0*q = 92*a + 9*q + 6, -8*a - 121 = 3*q for a. -17 Solve 6*b + 5*b + 539 = 594, 0*c - 3*c = -5*b + 40 for c. -5 Solve -5*n + 105 = -5*y, n + 5*n - 3*y - 68 = 52 for n. 19 Solve 4*x - 2*b - 2220 = -2346, b - 10 - 18 = -5*x for x. -5 Solve 2304*m - 2303*m = 5*a - 24, -5*a = -20*m + 4*m - 159 for a. 3 Solve 2*i - 4*q = -50, 2*i = -9335*q + 9342*q - 95 for i. 5 Solve -22*p = 4*b - 7*b - 58, p - 2*b - 37 = -12 for p. 1 Solve 0 = 5*m - 4*u + 470, 0 = -5*m + 412*u - 428*u - 370 for m. -90 Solve -7*m - 6*a + 27 = 8*m, m - 21*a + 170 + 192 = -0*m for m. -5 Solve 9 = 3*j - q, -4*j - 2*q - 198 = -220 for j. 4 Solve -3568*n = -3566*n - 4*h + 22, 0 = -3*n + 2*h - 41 for n. -15 Solve -36*b + 33*b - 43 = 5*o, 13*o = 101*o - 2*b + 428 for o. -5 Solve -5*a - 7*a = f - 92, -107*f + 111*f + 56 = 5*a for f. -4 Solve 4*i + 5*c - 3*c + 72 = 0, 0 = -4*i - 53*c - 1546 + 46 for i. -4 Solve -3*t = 5*w + 13, -15 = 2*w + t - 10 for w. -2 Solve -4*q + 2*q + 5*t + 49 = 0, -59*q - 5*t + 1199 = 43*q for q. 12 Solve -8032*z + 36 = 4*l - 8028*z, 0 = 4*l + 2*z - 38 for l. 10 Solve 2*x + 3*b - 2622 = -2645, 25 = 149*b - 154*b for x. -4 Solve -59*k + 15 = 14*o - 62*k, 87*o - 227 = 3*k + 7 for o. 3 Solve 0*r + 5*r + 230 = 0, 4*m = -15*r - 16*r - 425 - 168 - 853 for m. -5 Solve 4*o + 15 = 98*v - 99*v, 35*v - 165 = -2*o for o. -5 Solve 0 = -5*f - 4*m + 115 - 17, -6*f - 393*m = -398*m + 98 for f. 2 Solve -6*z + 11*o - 346 + 326 = 0, 13*o = 2*z + 44 for z. 4 Solve 322*x + z - 37 = 326*x, 3*x + 7*z = -3*z + 327 for x. -1 Solve -u - 6 = -5*k, 4*u + 11 - 3 = -2*k + 6 for u. -1 Solve -8*v - 28 = -2*i - 176 + 92, 8 = 3*v - 4*i for v. 8 Solve -2*s - s = -s + 15*w - 4*w - 6*w - 18, 0 = -35*s - 3*w + 146 for s. 4 Solve -81*d + 80*d + 13 = -3*i - 13, 12*i - 13*i + 82 = 5*d for i. -3 Solve 28*r - 10 = 36*r + 2*o, -68*o = -4*r - 70*o - 6 for r. -1 Solve 2*t + 0*t - 79 = y + t, -282 = y - 5*t - 215 for y. -82 Solve -z - c - 1735 = 9*c - 1780, -z - c + 9 = 0 for z. 5 Solve 22*f - 5*r + 20 = 0, -436052*r + 436039*r + 52 = 0 for f. 0 Solve 16 = -4*m, 2*q - 132 = 247*m - 217*m for q. 6 Solve -13*f + 4*w = 212, -2*w = -3*f - w - 0*w - 0*w - 52 for f. -4 Solve 0 = 2*o + 4*h + 190, 19224*o + 11*h = 19226*o - 485 for o. -5 Solve -31*m - h - 3*h + 0*h + 330 = 0, 5*m + 7*h - 85 = 0 for m. 10 Solve -5*b - 5*b - 948 - 3417 = 876*p - 5*b, -8*b = -p - 4*b - 17 for p. -5 Solve -179*l + 2*f = -20*l - 493, 4*l - 8*f + 3*f = -0*l + 52 for l. 3 Solve 0 = -f + 2*i - i - 51, -12*f + 16 = -7*f + 266*i for f. -50 Solve -264*z + 272*z - w + 10 = 0, 0 = -4*z - 8*w + 12 for z. -1 Solve -l - 5*l = 4*c + 132, 32 = -2*l + 2577*c - 2578*c for l. 2 Solve 2*s + 3*o = 1196 - 1186, -4*s - 39*s - 35 = 2*o for s. -1 Solve h = 8*f - 8, 3*f - 251*h - 3 = -255*h for f. 1 Solve 387114*r + 88 = 387117*r + q, 2*q = -18*r + 152 for r. -2 Solve -61 + 35 + 37 = 3*o + 4*t, o - 9 = 4*t for o. 5 Solve 0 = 5*y - 2*f - 11, 10*f - 6866 = 3*y + y - 6858 for y. 3 Solve 1269*h - 123 = 1273*h + 7*m, -4*m = 7*h + 75 for h. -1 Solve 16*z - 19*z = -c + 7, -2*c = 3*c + 40 for z. -5 Solve 57*t - 49*t - 2*y - 116 = 0, -4*y + 36 - 88 = -4*t for t. 15 Solve -3*q + 0 + 1 = 4*q - 4*q + 4, 0 = -3*b + 32*q + 17 for b. -5 Solve -b = 5*o + 2, 288776*o - 288787*o + 4 = 5*b for o. -1 Solve 199*k + 44 = -3*o + 198*k, -3*k = -5*o + 160 for o. 2 Solve t + 2*g - 5*g = 6*t + 127 + 8, -82*t - 3*g = 2214 for t. -27 Solve 0 = -144*m + 147*m - 37*f - 108, -3*m + 2*f + 3 = 0 for m. -1 Solve 3*g + 2020204 = j + 2020216, 5*g + 3*j - 6 = 0 for g. 3 Solve -m - 2*v = 43, -3*m - 35*v - 110 = 64*v + 38*v - 132*v for m. -5 Solve 3*h + 10*t = 4*t - 63, -5*t - 176 = 9*h for h. -19 Solve i + 2*i - 2*g - 39 = 0, -3*i + g - 642788 = -642809 for i. 1 Solve 13*b = -w + 48, 4*b - 181 = -169 for w. 9 Solve -5*g - 422*z + 130 = -413*z, -g = 5*z - 26 for g. 26 Solve -45651*q + 45652*q - 32 = 5*l, 0 = q + 8*l + 33 for q. 7 Solve -387 = -28*r + 32*r - 30*g - 117, r + 36 = 4*g for r. 0 Solve -7*i + 2*i - 3*d = -2*i + 13 - 1, -2*d + 30 = -2*d - 6*d for i. 1 Solve 1757*u + 1533 = 2268*u, -2*i - 4*u - 16 = 0 for i. -14 Solve a + 21164*k - 21160*k = 6, -3*a + 5*k = 16 for a. -2 Solve 3*c + 13*h + 39 = 0, 2*c + 1115049 = 3*h + 1115058 for c. 0 Solve -4*h + 3*h - 25*q = -7*q + 176, 5*q - 257 = -103*h - 3*h + 117 for h. 4 Solve -13*o + 4*x + 445 = 0, -90*x - 60 = -163*x + 88*x for o. 33 Solve -67027*x + 67020*x = 6*w - 16, w - 6 = -2*x for w. -2 Solve -2*j + 38 = 2*p, -4*p + 173980*j = 173975*j - 85 for p. 20 Solve 186*h = 181*h - 10, 0 = -2*n + 13*h - 12*h + 2 for n. 0 Solve -219 = -14*i + 4*i - m, -i + 5*m = -29 - 19 + 21 for i. 22 Solve 16*q = -4*n - 440, -3*n - 3*q - 114 = -0*n + q for n. -2 Solve -4*r + 50 = -3*l, -l + l - 4*l - 195 = -5*r - 12*r for r. 11 Solve -t - 9 = -4*a, 4*t - t - 6*t = 3*a - 18 for t. 3 Solve 2*a + 362179*k = 362183*k - 18, 0 = a + k + 3 for a. -5 Solve 0 = 2*o - 5*s + 86, 6*s = -17005 + 17029 for o. -33 Solve 13 = -n - 5*z + 26, -3*n + 4*z + 20 = -0*n for n. 8 Solve -5*x + 25 = 2*h, -3*h - 2440*x = -2433*x - 35 for h. 0 Solve 0 = 3*b - 24, 24*s - b - 4 = 70*s - 12 for s. 0 Solve 24 = -5*b - 9*j - 93 + 104, -4*b - 6 = 5*j for b. 1 Solve 0 = -2*l - 6, -4*z - 6*l + 18 = -8*l for z. 3 Solve -31*j + 79 = -2*k, j + 11 = 283289*k - 283287*k for k. 7 Solve 120*x + 133*x - 248*x = -z + 3, -85 = 5*x + 5*z for x. 5 Solve 5*f + 14*q = -94 - 69, 450*q - 215 = f + 468*q for f. 1 Solve -8*w + 18*w - 5*w + 2*z = -11*w - 68,
{ "pile_set_name": "DM Mathematics" }
de 360 by -90. -4 Calculate 1695 divided by -565. -3 Divide -609 by -11. 609/11 -149 divided by 18 -149/18 Calculate -3 divided by -1891. 3/1891 What is -36 divided by -2? 18 -1780 divided by -356 5 -1488 divided by 6 -248 Divide -246 by 123. -2 Divide 0 by -15. 0 -2575 divided by -8 2575/8 What is 2 divided by -2316? -1/1158 Divide -4 by -2. 2 -17 divided by -4 17/4 What is 66 divided by -22? -3 Calculate 6 divided by 5955. 2/1985 What is 0 divided by -2265? 0 Calculate -3405 divided by -1135. 3 What is -636 divided by 1? -636 -405 divided by -135 3 What is 8456 divided by 28? 302 Divide 1200 by 5. 240 Calculate -5664 divided by 96. -59 Divide 24 by 120. 1/5 865 divided by -5 -173 Divide 10 by 19. 10/19 Divide -4330 by 433. -10 Divide -3 by -535. 3/535 Divide -2 by -40. 1/20 Divide 32 by -19. -32/19 10 divided by 37 10/37 Calculate 0 divided by 218. 0 Divide -456 by 8. -57 What is -11 divided by -174? 11/174 108 divided by -6 -18 Divide 2527 by 1. 2527 Divide -2 by -89. 2/89 Divide -33 by 8. -33/8 What is 1 divided by -32? -1/32 5509 divided by -7 -787 Calculate 34 divided by -98. -17/49 34 divided by -9 -34/9 Calculate 114 divided by 19. 6 Divide -1209 by -2. 1209/2 Calculate 180 divided by 3. 60 Calculate 9108 divided by 253. 36 Divide -2 by -933. 2/933 Calculate -2 divided by -284. 1/142 Calculate 4 divided by 15. 4/15 Calculate -24 divided by -281. 24/281 Divide -2452 by 7. -2452/7 Calculate -2567 divided by -2567. 1 -25089 divided by -3 8363 4093 divided by -4093 -1 126 divided by -21 -6 What is -1000 divided by -26? 500/13 What is 11 divided by 39? 11/39 Divide -67 by -67. 1 Calculate 25 divided by 101. 25/101 2 divided by -1170 -1/585 Divide -5 by -6. 5/6 Divide 2056 by 4. 514 What is 5 divided by -46? -5/46 Calculate 13182 divided by -1014. -13 Calculate 1524 divided by 508. 3 Divide -752 by 2. -376 250 divided by 1 250 What is -2 divided by 20? -1/10 Calculate 9 divided by -93. -3/31 Calculate 1 divided by -3686. -1/3686 -1365 divided by -1365 1 Divide 2304 by -9. -256 -455 divided by -28 65/4 What is 12 divided by -13? -12/13 Calculate -6389 divided by 2. -6389/2 Calculate 0 divided by 47. 0 -108 divided by -6 18 What is -4794 divided by 5? -4794/5 -247 divided by 1 -247 -261 divided by -29 9 What is 6 divided by -4? -3/2 2139 divided by 31 69 Calculate -120 divided by 40. -3 Calculate 112 divided by 6. 56/3 -159 divided by -10 159/10 What is -9 divided by -5? 9/5 Divide 210 by 210. 1 What is 96 divided by -16? -6 Calculate -20 divided by -6. 10/3 Divide -420 by 3. -140 -2054 divided by 79 -26 Calculate 6084 divided by -3. -2028 Calculate 1287 divided by 9. 143 What is 9096 divided by 8? 1137 Calculate 61 divided by 2. 61/2 Calculate 1 divided by 343. 1/343 What is -6524 divided by -4? 1631 Calculate 28 divided by 28. 1 Divide -180 by 1. -180 What is 7221 divided by 29? 249 2 divided by -15 -2/15 Calculate -54738 divided by 2. -27369 Divide 150 by 51. 50/17 Divide 3 by -643. -3/643 What is -366 divided by -183? 2 What is 950 divided by -5? -190 Divide 3 by 89. 3/89 What is 2244 divided by -17? -132 Divide -234 by 3. -78 What is 24 divided by -6? -4 What is 13785 divided by -3? -4595 What is -569 divided by -2? 569/2 Calculate -2786 divided by -398. 7 Divide 4240 by -848. -5 Calculate -1 divided by 2938. -1/2938 Calculate 504 divided by -504. -1 -3 divided by 127 -3/127 -968 divided by 242 -4 Divide 5 by -355. -1/71 What is -931 divided by -19? 49 Divide 1 by -451. -1/451 -39 divided by 8 -39/8 Calculate 11480 divided by 1435. 8 Calculate 7458 divided by -11. -678 What is -6175 divided by -1235? 5 What is 1460 divided by -730? -2 Calculate -220 divided by -4. 55 Divide -70 by 148. -35/74 Divide -4 by -150. 2/75 What is -1650 divided by -6? 275 What is 387 divided by -13? -387/13 Divide -51 by 12. -17/4 What is 5 divided by 602? 5/602 What is 107 divided by 107? 1 Calculate -31 divided by -1. 31 Calculate -16 divided by 4. -4 Divide 2716 by 2. 1358 17 divided by 1 17 What is -3308 divided by -2? 1654 0 divided by -149 0 What is -16134 divided by 2? -8067 -587 divided by -1 587 Calculate -1470 divided by -10. 147 Divide 1302 by -434. -3 -2742 divided by -1 2742 Divide -3 by -1644. 1/548 Divide -12 by 60. -1/5 85 divided by 5 17 Divide -646 by 7. -646/7 0 divided by 691 0 What is -51 divided by -24? 17/8 Calculate -12 divided by -1. 12 1 divided by -25 -1/25 What is -612 divided by -12? 51 Calculate -315 divided by -21. 15 Calculate -52 divided by -5. 52/5 Calculate -1 divided by 21. -1/21 What is -616 divided by -5? 616/5 Calculate 435 divided by -3. -145 -3004 divided by -1502 2 What is 2 divided by 1914? 1/957 What is 0 divided by 102? 0 Divide -1 by 21. -1/21 -280 divided by 56 -5 Calculate -600 divided by -150. 4 Calculate -5 divided by 465. -1/93 Divide 3420 by -5. -684 Calculate -9647 divided by 11. -877 34 divided by 195 34/195 What is 126 divided by 52? 63/26 Calculate 1224 divided by 6. 204 Calculate 0 divided by -14. 0 0 divided by -182 0 Divide -1900 by -2. 950 Divide 1914 by 6. 319 -14946 divided by -94 159 Calculate 116 divided by 1. 116 Divide -402 by -1. 402 Divide -10392 by -3464. 3 Calculate 4526 divided by 6. 2263/3 3 divided by -8 -3/8 -2 divided by -5 2/5 -34 divided by -1 34 -74 divided by -2 37 What is 14 divided by 413? 2/59 159 divided by 10 159/10 16 divided by -73 -16/73 Divide -4 by -131. 4/131 Calculate -31 divided by -1. 31 Divide -172 by -6. 86/3 0 divided by -28 0 What is -2822 divided by -5? 2822/5 140 divided by -14 -10 What is 1211 divided by 1? 1211 Calculate -1 divided by -132. 1/132 What is 32680 divided by -5? -6536 10736 divided by 2 5368 Divide 132 by -21. -44/7 Divide 0 by -2010. 0 Calculate 102 divided by -1. -102 -1 divided by -703 1/703 Calculate -7 divided by -26. 7/26 -520 divided by -7 520/7 Divide -47 by 6. -47/6 Divide 504 by -8. -63 What is 4254 divided by 2127? 2 What is 438 divided by -6? -73 Calculate 2 divided by 3. 2/3 Divide -1785 by -7. 255 What is -5890 divided by 5? -1178 Calculate -1744 divided by -16. 109 Divide 1594 by -6. -797/3 What is -124 divided by -31? 4 -3 divided by -2387 3/2387 What is 15 divided by 28? 15/28 Divide 1389 by 5. 1389/5 -41280 divided by -6 6880 -4 divided by 22 -2/11 What is 2 divided by 365? 2/365 What is -504 divided by 252? -2 20 divided by 3 20/3 What is -22155 divided by -3? 7385 45 divided by -117 -5/13 Calculate -77 divided by -55. 7/5 -180 divided by -12 15 -280 divided by -4 70 What is -12880 divided by 35? -368 Divide -4904 by 2452. -2 -3966 divided by 2 -1983 -1 divided by 90 -1/90 Calculate -38 divided by -1. 38 Divide 3 by -42. -1/14 Calculate 4 divided by -2795. -4/2795 -35112 divided by 924 -38 Calculate 945 divided by -7. -135 Divide 2 by 279. 2/279 110 divided by -8 -55/4 -197 divided by 3 -197/3 Divide -40920 by 1364. -30 Calculate 11 divided by 21. 11/21 What is -1 divided by 456? -1/456 430 divided by 86 5 What is 6 divided by -59? -6/59 Calculate 1102 divided by -2. -551 Calculate 3 divided by 199. 3/199 What is 8 divided by -15? -8/15 What is -528 divided by 66? -8 Divide -7 by -9. 7/9 What is -418 divided by -5? 418/5 Calculate -276 divided by 69. -4 Divide 2921 by -127. -23 -780 divided by -6 130 What is 1213 divided by -1213? -1 365 divided by 5 73 Divide 3 by 106. 3/106 Calculate -1439 divided by -1. 1439 -4 divided by -388 1/97 What is -1343 divided by -1? 1343 What is -53 divided by -15? 53/15 Divide 24352 by 1. 24352 Divide 296 by 4. 74 -3 divided by 1477 -3/1477 Divide 25 by -67. -25/67 Divide 2 by 3. 2/3 Calculate 68 divided by 275. 68/275 What is 712 divided by -356? -2 Calculate 372 divided by 93. 4 What is -462 divided by -33? 14 Divide 17109 by 1901. 9 What is 12960 divided by -16? -810 Calculate -1720 divided by -2. 860 Calculate -40 divided by 12. -10/3 Calculate -13015 divided by 1. -13015 Divide 1890 by 210. 9 What is 3029 divided by -6? -3029/6 What is 78 divided by -8? -39/4 Divide -32 by 11. -32/11 Divide -113 by 3. -113/3 Calculate -143 divided by -22. 13/2 What is -924 divided by -6? 154 What is 46 divided by -1? -46 What is -3808 divided by 9? -3808/9 Calculate -840 divided by -30. 28 What is -5448 divided by -1816? 3 8 divided by -61 -8/61 Calculate 667 divided by -1. -667 Divide -259 by 4. -259/4 Wha
{ "pile_set_name": "DM Mathematics" }
he closest to j? (a) g (b) -5/2 (c) 0.1 (d) 5 c Suppose 0 = 2*f - 4*h - 36, -9*h + 4 = 3*f - 5*h. Which is the nearest to 0? (a) -2/7 (b) 5 (c) f (d) -1 a Let f = -6662 - -6666. What is the closest to -11 in -24, -2/7, 1, f? -2/7 Let h = 0.06 + -6.06. Let k = -5.9 - h. Let b = -0.0097 - -0.5097. What is the nearest to k in 3, -0.1, b? -0.1 Let n = 8947 + -8946.9. Which is the nearest to -1? (a) n (b) -2 (c) 0.4 (d) -1/8 d Let p = -17210 + 17241. What is the closest to 4 in p, 1, -0.02, -0.4? 1 Let y(g) = 7*g + 51. Let p(m) = 8*m + 51. Let q(f) = 6*p(f) - 5*y(f). Let u be q(-4). Which is the nearest to u? (a) 4.7 (b) -0.3 (c) 0.2 b Suppose -2*i - 4*z = -4*i - 28, i = -z - 8. Let t be -1*3*2/i - 1. Suppose -4*n = -3*n. Which is the nearest to n? (a) t (b) 2/9 (c) 4 b Let p = -5.072 + 5. Let j = 95.9 - 95.828. Let d = p + j. What is the nearest to -1/5 in d, -3, 2/5? d Let n = 36 - 35.59. Let v = -1.41 + n. What is the nearest to 0 in 0.3, 0.04, v? 0.04 Let m = -71617 + 71618. Let h = -0.08 - -0.03. Which is the nearest to m? (a) h (b) 1 (c) -5 b Let m = 1302 - 1298. Which is the closest to 0.1? (a) 2 (b) -517 (c) m a Let d = -0.32 + 17.32. Let t = 16.5 - d. Let c = -833.94 - -834. What is the closest to c in 5, t, 0.5? 0.5 Let v(j) = -137*j + 13707. Let u be v(100). Let n = -4 - 1. Which is the closest to u? (a) -4 (b) n (c) 0.2 c Suppose 3*a + 3*s + 213 = 0, 2*a - 6*a = 5*s + 282. Let n = -71 - a. Let j be (0 - 0)/(-4 + 2). What is the nearest to n in -0.4, -5, j? j Suppose 49*j - 51*j - 7 = 3*t, 0 = 2*j + 5*t + 9. Let c = -886 - -2636/3. Let u = c + 15/2. What is the nearest to -0.1 in j, -1/4, u? -1/4 Suppose 227*z + 149*z + 384 = 1136. Let i = -0.4 + -1.6. Which is the nearest to 2/7? (a) 3/5 (b) z (c) i a Let s = 1381/33432 + 1/2786. What is the nearest to 0.1 in s, -0.1, 0.5, -0.17? s Let f be (-1)/((-5)/(-15)) - 22/(-8). Let j be (-92)/8*(-1 + 3 + 0). Which is the nearest to f? (a) 5 (b) -0.5 (c) j b Let x = 37 + -39. Let j = 1309 - 1305. Which is the nearest to -2/7? (a) x (b) j (c) 8 a Suppose -581*g = 2*s - 582*g + 8, 4*s + 16 = -2*g. Which is the nearest to 34/9? (a) s (b) 2/13 (c) 2 (d) -1 c Let f = -1.6 - -1.7. Let s = -2299/42 - -382/7. Let j be 1/(-4) - 1/(-4). Which is the closest to -1/5? (a) f (b) s (c) j b Let q = -6671 + 13347/2. Which is the nearest to -6? (a) 4/7 (b) -0.5 (c) q b Let s = 0.07 - -1.93. Let p = 4.346 - 4.846. What is the nearest to s in p, -0.4, 0.02? 0.02 Let i be (-3)/(((-57)/(-52))/19). What is the nearest to 0.1 in 6, i, 0, -1? 0 Suppose -518 + 2344 + 967 = 21*s. Which is the nearest to s? (a) -3 (b) -1/10 (c) -1 b Let j = 272622/11 - 24784. Which is the nearest to -4? (a) -41 (b) 4 (c) -3 (d) j c Let r = -95 + 93. Let i = -254.1 + 219. Let p = 35 + i. Which is the closest to -12/13? (a) r (b) p (c) -1/4 c Let f = 4347 - 4323. What is the closest to -1 in -4/7, 17, f, 4? -4/7 Let m = 10 - 6. Let r be ((-40)/(-958) - 0)*3948/(-756). Let p = r - 2/479. What is the closest to p in m, 27, 0? 0 Let d = 19.954 - 21.954. Let n be (1/4)/(-1) + 0. Which is the nearest to d? (a) -0.5 (b) n (c) 0.18 a Let h(o) = -39*o - 24. Let t be h(5). Let r = 220 + t. Which is the closest to r? (a) -0.4 (b) 0.2 (c) -3/20 b Let r = -538.5 + 538. Let u(s) = -s**3 - 5*s**2 - 4*s - 1. Let q be u(-4). Which is the nearest to q? (a) r (b) -0.2 (c) -30 a Let o = -21886/171 + 128. Let c = 151/1710 + o. Let u(y) = y**2 - 6*y + 2. Let n be u(6). What is the nearest to n in -3/4, c, 0.3? 0.3 Let i = -1879 + 1879. Let v = 2.45 - -4.55. Let g = 1.1 + -0.1. Which is the nearest to g? (a) v (b) 3/4 (c) i b Let z = -51 - -38.8. Let n = 12 + z. Let r = 0.09 - -0.01. Which is the nearest to -1/4? (a) n (b) r (c) -2/9 c Let l be 10 + (-903)/12 + 12. What is the nearest to 0 in -5, 2/13, l? 2/13 Let z be (-8)/(-12) - (-34)/(-24). Let j = 136.604 - 136.604. What is the closest to j in z, 3, -3/5? -3/5 Let n be (12/(-4767))/((-222)/(-42) - 5). What is the nearest to n in 1/2, -0.2, -1/2? -0.2 Let c = -2939.1 + 2938.6. Suppose 3*i = -2*i - 2*v - 14, -4*i = 4*v + 16. Let n = 0 - -1. What is the nearest to n in -3, c, i? c Suppose 5*f + 2*s = -2*s - 35, -2*s - 25 = 5*f. Let q = -18 + 27. Let k be (-84)/98*3/q*-2. What is the nearest to -2/7 in -4/7, f, k? -4/7 Let p be (3/6)/(2/20). Let l = 262990 - 262993. Which is the closest to p? (a) l (b) 2 (c) -4 (d) 0.4 b Suppose -11*j + 32*j = -5*j + 104. Which is the closest to 0.15? (a) 0.4 (b) 2/11 (c) 0.06 (d) j b Let k = 376261/7 + -53941. Let y = k + 190. Let z = 0.24 - 0.74. Which is the closest to 0? (a) z (b) 0.4 (c) y b Let f = 2730 - 5461/2. What is the nearest to f in -2, -986, 2/11, -4/9? -4/9 Let m = 2298 - 2303. Which is the nearest to 3? (a) 5 (b) 6/11 (c) m a Suppose 183*u = 137*u - 138. What is the nearest to -2/5 in -6, 2/3, -4/7, u? -4/7 Let y be -3*(-6)/(-270)*(-3 + 12 + -3). Let s be 5/(-20) - 1/(-4). What is the nearest to s in y, -0.2, 5/11? -0.2 Let d = 2929 + -2925. Which is the nearest to -2? (a) -1 (b) d (c) -1.5 c Let z(c) = -1512*c + 22676. Let r be z(15). Let q = 10 + -6. What is the closest to 2/9 in r, 0.1, q? 0.1 Let h be (472/531)/((-14)/(-9)). Which is the nearest to 35? (a) 4 (b) h (c) 2/3 a Let m = 113/77 - 9/7. Let v(c) = -c**2 + 12*c + 2. Suppose y + 3*s - 3 = 0, 2*y + 5*s + 63 = 6*y. Let f be v(y). What is the closest to 0.1 in 0.3, m, f? m Let m = 896 + -396. Let h = -499.9 + m. Which is the closest to h? (a) 6/7 (b) -1/30 (c) 0.4 b Let u be (-51)/(-33) - ((-289)/17 + 18). Which is the nearest to 1/27? (a) -1 (b) u (c) -3 (d) 4/11 d Suppose 2*o = 4*x - 82, 0 = -x - 5*o + 3 + 45. Let q = -16 + x. Let j = 1264/11033 + 2/649. What is the closest to -0.2 in j, 0.4, q? j Let y = 0.3 - 0.4. Let u = -1796.3 + 1798.3. Which is the closest to y? (a) u (b) 0.019 (c) 4/7 b Let t = 4 - 31/8. Suppose -18*h + 179 = -37. Suppose 0 = h*m - 166 + 178. Which is the closest to m? (a) -6 (b) 2/5 (c) t c Let j = 288 - 317. Let k = -95 - -65. Let y = k - j. Which is the nearest to y? (a) -0.2 (b) 5 (c) -2/9 c Let o = -8051 - -8051.2. Let f = 3 + -2.9. Which is the nearest to 3? (a) o (b) -3 (c) f a Let g be (-3)/(-24)*(1 + 1). Suppose 7*z - 17 - 4 = 0. Let h(q) = -q**2 - 65*q - 713. Let f be h(-51). Which is the nearest to f? (a) -3 (b) g (c) z b Let o = -1.67 + -131.33. Let h = o + 133. What is the nearest to -2/3 in -2, -0.5, h? -0.5 Let q be ((-1)/(-3))/((-1)/3*-5). Let d = -49.016 - -0.016. Let b = d - -48. What is the nearest to -2/3 in 0.4, q, b? b Let z = -3 + 0. Let i = -1 - -1.4. Let n = 258244/3 + -86082. Which is the closest to n? (a) 4 (b) z (c) i c Let j = 14/995 + -3097/7960. Which is the closest to -44? (a) -2 (b) 0.3 (c) 0.1 (d) j a Let b = 1.8666 - 1.8666. What is the closest to b in -2/53, 3, -2/15, -9? -2/53 Let r = -18165 - -18307. What is the closest to -1 in -3, 3/8, r, -12? 3/8 Suppose 3*q + 4*s - 17 - 18 = 0, -10 = -4*q + 2*s. Let g be (-10)/66*(-6)/q. Let l = 316 - 9798/31. Which is the closest to -1? (a) 2 (b) l (c) g b Let v be (-21)/(-23) + 3/(-3). Let r = 73/37 - 585/259. Which is the nearest to -3/38? (a) 1/10 (b) v (c) r b Suppose 19*l + 6944 + 2727 = 0. Let x = l + 476. What is the nearest to x in 0.3, -0.4, 0.2? -0.4 Let f = -101.94 - -102.24. Let h be 2/7 + 0/1. Let x = 0.06 - 0.66. What is the closest to -0.1 in x, h, f? h Suppose -11 - 5 = 2*p. Let y be 4/(-11)*(-2)/p. Let d = -2/49 - 39/245. Which is the closest to 2/3? (a) y (b) d (c) 0.1 c Let w = -1.12 - 52.38. Let p = -50 - w. Let q = p - 3.3. What is the nearest to q in -5, -1/3, -3? -1/3 Let l = 593/5 + -118. Let f be (-17)/(153/18) - 2. Let j = -0.43 - -0.63. What is the closest to j in 2/7, f, l? 2/7 Let t(u) = 393*u - 5102. Let h be t(13). What is the closest to 1/24 in h, 1, -1? 1 Let o = -393.33 + 389. Let f = o + -0.67. What is the nearest to -5 in 0.4, 4, f? f Let m = -2601 - -2603. What is the nearest to 4 in 7/3, -2/5, m? 7/3 Let a = -1.3 - -1.3. Let y = 3.846 + -2.846. What is the nearest to a in y, -21, 3/4? 3/4 Let h = -387 - -729. Let m = h + -340. Which is the closest to -1/4? (a) 0 (b) 0.5 (c) m (d) -0.2 d Let n = -562.4 - -112.4. Let b = n - -451. W
{ "pile_set_name": "DM Mathematics" }
3 (e) 0 c Which is the nearest to 0? (a) 89 (b) -8895 (c) 3 c What is the closest to 14.6 in 0, -42/341, 0.3, 4? 4 Which is the nearest to -5054? (a) -23 (b) 1/5 (c) -3 a Which is the closest to 0? (a) 0 (b) -551409 (c) 0.2 (d) -0.73 a Which is the nearest to -11? (a) 11 (b) -204 (c) 7 (d) -0.3 d What is the closest to -1/3 in 106, -17.73, 1? 1 Which is the closest to 1/4? (a) 0.02846 (b) 2/11 (c) 0 (d) 0.0025 b What is the closest to 1 in -15, 93/4, -107/2, 0.4, -5? 0.4 Which is the closest to -17? (a) 1/3 (b) 88424 (c) 3 a What is the closest to -1 in -19, -1.9, 1/8, -373, -1/40? -1.9 Which is the nearest to 0.2? (a) 0.053 (b) -5/11 (c) -5 (d) -3 (e) 1938 a What is the closest to -4 in 21, -68, 1, 2/9, 0.166? 0.166 What is the nearest to -3/7 in 4, -1044, -0.162? -0.162 What is the nearest to 2 in 537, -2/17, -368/3? -2/17 Which is the closest to -5/4? (a) 2/9 (b) 4 (c) 2/83 (d) -3/7 (e) -66 (f) -11 d Which is the nearest to 2? (a) -5/2 (b) -29 (c) -22.57 a Which is the closest to -125? (a) 3/2 (b) 1/3 (c) -2 (d) 534 (e) 5 c What is the nearest to -0.3 in 4, -37, -0.48, -0.2549, -1/5? -0.2549 What is the closest to -2/7 in -6, -3, -6/23, 6256, 1/9? -6/23 What is the nearest to 0.2 in 2/55, -20408, -1/5? 2/55 What is the nearest to 127/725 in -1/2, 3/4, 3, 2? 3/4 What is the closest to -2/7 in 1/4, -61, -33421? 1/4 What is the closest to -1 in 4, -2/7, 2/13, -2, -37.2? -2/7 What is the nearest to -1/2 in -0.32, 3/10, -4, 5, 11/4? -0.32 Which is the nearest to -10? (a) 0 (b) -0.03 (c) -0.064 (d) -8 (e) 0.01 d Which is the nearest to -2? (a) 1.6 (b) -3/98 (c) -0.2 c What is the nearest to -0.1 in -3/4, 11/6, 52.923? -3/4 Which is the closest to -100? (a) 0 (b) 2 (c) -0.5 (d) 2/21 (e) 4362 c Which is the nearest to -5? (a) 1/4 (b) -2 (c) 292/9 (d) -1/2 (e) 0 b Which is the closest to -75/7? (a) 1/821 (b) -2 (c) -0.1 b Which is the closest to -1? (a) 6/11 (b) -0.02 (c) 109066 b Which is the closest to 61/4? (a) -5 (b) -0.87 (c) 0.2 (d) 0.3 (e) 0.4 e What is the closest to -447 in -2, 3/19, 0.1, 0.3, 2/161, -3? -3 What is the nearest to 5 in 3, 8208, -0.4, -6/7, 1/2? 3 Which is the nearest to 0.1? (a) -68/21 (b) -1 (c) -25503 b What is the nearest to 2/7 in -0.8, -5398, 4, -0.03? -0.03 Which is the nearest to -3.31? (a) -2 (b) 2 (c) 2/35 (d) -0.02 (e) 3 a What is the nearest to 2 in 13, -260/21, 0.047? 0.047 What is the closest to 3/50 in 1/5, -1093, -1.2, -0.5, 0? 0 What is the closest to 0.044 in 17.7, -7, -0.03, 0.1? 0.1 Which is the nearest to -4? (a) -7 (b) 9.41 (c) 0.1 a Which is the nearest to 1128? (a) -482 (b) 0.3 (c) -7 b What is the closest to 0.03175 in 2/3, 252, 0.5? 0.5 Which is the nearest to 0.2? (a) 2 (b) 197 (c) -1 (d) 4.1 c Which is the closest to 0? (a) -0.2 (b) 1881 (c) -0.046 (d) 0.021 d What is the nearest to 5807 in 0.3, 2/23, -2/7, -2.6? 0.3 Which is the closest to 0.13? (a) 0.02 (b) -4 (c) 2/9 (d) 455 (e) 9 c Which is the closest to 2/9? (a) -3 (b) 4 (c) 2/25 (d) 22025 (e) 1 c What is the closest to 774 in 4, 3, -0.3, -2/3, 2349? 4 Which is the closest to 181103? (a) -0.3 (b) -5 (c) 1/4 (d) -0.2 (e) 0.2 c What is the closest to -2/85 in -0.5, -14/15, 2/153463? 2/153463 What is the closest to 0.1 in 0.11, -0.012, 124? 0.11 What is the nearest to -138/13 in -32, 5, 2/9, 1, 0.3, 0.05? 0.05 What is the nearest to 0 in -0.5, -445165, 1/5, 0, -2, 0.4? 0 Which is the nearest to -38? (a) 1/11 (b) 0.526 (c) 3 (d) -52 d What is the closest to -2/11 in -5, 2/7, -5.3138, 3/4, -4? 2/7 Which is the closest to -3/8? (a) -149 (b) -109 (c) 0.5 (d) -2 (e) 2 c Which is the nearest to 327233? (a) 5 (b) 0.2 (c) 2/21 (d) -0.11 a What is the closest to -24 in 512, 4, 2/139, -2? -2 What is the nearest to -20/3 in 0.03, 0, -0.3, 2, -459/8? -0.3 What is the closest to 0.2 in 55678, -0.3, 4, -1/4, -0.5? -1/4 What is the nearest to -2/3 in -6/11, 3, -1/2, -18689? -6/11 Which is the nearest to -18? (a) 1.2 (b) 7/3 (c) -9 (d) 0.03 c Which is the nearest to 6? (a) 3 (b) 202 (c) 4 (d) 7 (e) 964 d What is the closest to -28/107 in -1387, 1/7, -2/3? 1/7 Which is the nearest to 23484? (a) -2/5 (b) -6/19 (c) 0.5 (d) -2 (e) -6 c What is the nearest to 1/3 in -4, 2, -9627.46, -2/9? -2/9 Which is the closest to 1.02? (a) -1/5 (b) 0.5 (c) -1149/2 (d) 10 b What is the closest to -94 in -119, 1, 3/4, -21, -5? -119 What is the closest to -2/11 in 2270/9, -0.7, 2? -0.7 What is the nearest to -0.2 in 1/30, 12.21, 7? 1/30 What is the closest to 0.1 in -3, -3/7, 0.063, 3, 96157? 0.063 Which is the nearest to 1.2? (a) 1286 (b) 0.4 (c) 4 (d) 90 b What is the nearest to 1.2 in -2, -0.18, 0.1, -0.072, 1.7? 1.7 What is the nearest to 0.3 in -1, 8, -4, -5/11? -5/11 What is the closest to 1/10 in 3, -198, -0.8, -610? -0.8 Which is the closest to -494658? (a) 5 (b) -2/3 (c) -16 (d) 4 c What is the closest to 135 in 3, 436, -2/9? 3 What is the closest to 1/16 in 90, -15, -1, 4? -1 What is the closest to -17 in -1/7, -4/5, -8.9, -0.3, 0.756? -8.9 Which is the closest to 1? (a) 3/2 (b) 0.66 (c) -4 (d) -4/27 (e) 68 b Which is the closest to 0.0303? (a) 4 (b) -0.02 (c) -710 b Which is the nearest to 1? (a) -3/7 (b) 2 (c) 2390/7 (d) -2/3 (e) 0.2 e What is the closest to 6 in 2/3, -66680, 5? 5 What is the nearest to 0 in 169046, -0.1, -9/5, 4, -3? -0.1 Which is the nearest to 0.9? (a) 4 (b) -3/2 (c) -15 (d) 2982 (e) 5 b Which is the nearest to 2? (a) 0.6 (b) -3 (c) 87/4 (d) -5 (e) 11 a Which is the closest to -4/5? (a) -124 (b) -1.5 (c) 0.3 (d) 52 b Which is the closest to -8904? (a) 6 (b) 9 (c) -0.5 (d) 5 c Which is the closest to -2? (a) -1/18 (b) 5 (c) 3 (d) 0.20117 a Which is the nearest to 0? (a) -0.06 (b) -2 (c) -0.4 (d) 0.05 (e) -867/13 d Which is the closest to 1247? (a) -3.4 (b) 20 (c) -4 b Which is the closest to -0.1? (a) 8.6 (b) 0.49 (c) -0.31 (d) 0 (e) 0.6 (f) 1/5 d Which is the closest to -1? (a) -23 (b) 3.25 (c) -0.26 (d) 7 c What is the closest to 1 in -36, -19490, 3? 3 What is the closest to -2 in -0.085, -1/382, 2, 0, 5? -0.085 What is the closest to -1/4 in -4166, -2/5, 13, -56? -2/5 Which is the closest to -2? (a) -5/6 (b) -0.4 (c) -3672603 a Which is the nearest to -0.1? (a) -35/246693 (b) 0.5 (c) -2/3 a Which is the closest to -2? (a) 594 (b) -577 (c) -3/5 c What is the closest to -33.2 in 0.4, 4.06, 1/2? 0.4 What is the nearest to 4/13 in -5, -322192, -4, 3, 7? 3 Which is the nearest to 0.4? (a) -0.1 (b) -4 (c) -3/7 (d) -2/5 (e) 20/129 (f) -2 e What is the nearest to 0.4 in -2.582, -0.3, -1/7, 3, 2? -1/7 What is the nearest to 117/7 in 2/93, -1/4, 1/4, -2? 1/4 Which is the nearest to 0.1? (a) -1 (b) -36876 (c) 1 (d) -2 c What is the closest to 1 in 2/21, 1/2637, 0.2, 0.1, -0.3? 0.2 What is the closest to -12/5 in 0, -2, 679? -2 Which is the nearest to -2/15? (a) -1.971 (b) -4 (c) -395 (d) 1/6 (e) -0.3 e What is the closest to 0.6 in 24, 3, 184? 3 What is the closest to 1 in 0.278, 1/100, -0.2, 2, 0.1, -44? 0.278 What is the closest to 1213 in -2/9, 2/55, 1? 1 Which is the nearest to 1? (a) 265592 (b) -3/4 (c) -4/7 c What is the closest to 5 in 14, 2/51, -28, 3, 6/5? 3 Which is the closest to -0.02? (a) 2/7 (b) -1 (c) 1/5 (d) -306.02 c What is the nearest to -14/3 in -1/9, 2/5, -19, -2/33? -1/9 What is the closest to -4/9 in 734/3, -1, -15, 0.2? -1 What is the nearest to -2/11 in -15, 0.3, 1, -20, -4, -38? 0.3 Which is the closest to -1? (a) -9/2 (b) 30 (c) 6.8 (d) -3 (e) 1/2 (f) 2 e Which is the closest to 8/11? (a) 54/19 (b) -0.3 (c) -119 (d) -2/11 d Which is the nearest to -256? (a) 12 (b) 9 (c) -0.9 (d) -2/7 c What is the closest to -0.4 in 1/2, 32, 0.28, 10.5? 0.28 Which is the nearest to -3? (a) -8/5 (b) 3 (c) -3/19 (d) 3.9 (e) -3/23 a What is the closest to -82 in 11, -10, -4, 2/97? -10 Which is the nearest to 3/2? (a) 11 (b) 6 (c) -0.04 (d) 0.4 (e) -1/6 (f) -72 d Which is the nearest to -34? (a) 5 (b) 2 (c) -43 (d) -0.03 c What is the nearest to -13 in 0.4, 0.27, 5, 20214, 2? 0.27 What is the nearest to -1.295 in -19/85, 3, -2/9? -19/85 Which is the closest to 5/13? (a) 2 (b) 3 (c) -1498 (d
{ "pile_set_name": "DM Mathematics" }
86784589 prime? True Is 22169882479 a composite number? True Is 4107055045 a composite number? True Is 13122517327 prime? True Is 3268567957 a prime number? True Is 459698039 a prime number? False Is 3901975739 a prime number? False Is 12067871197 prime? False Is 20399297077 a prime number? True Is 199853813 a composite number? False Is 1561733021 a prime number? True Is 1013031623 prime? True Is 819357391 a composite number? True Is 17521763437 composite? False Is 52894607099 a composite number? False Is 61289038487 a prime number? True Is 205006631 a composite number? False Is 697734461 prime? False Is 9383999659 a prime number? False Is 46497833029 prime? True Is 64776508673 prime? False Is 1551492967 composite? False Is 136065657943 a composite number? True Is 2026901459 a prime number? False Is 55973726929 prime? True Is 442877068223 a composite number? False Is 26888832959 a composite number? False Is 1288229687 a composite number? False Is 56943134419 composite? 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False Is 60539389111 a composite number? False Is 121350137 a composite number? False Is 122011480099 prime? True Is 2220432971 prime? False Is 102596520406 a composite number? True Is 1551857231 prime? False Is 460184639 a composite number? False Is 42398523119 composite? True Is 696093683 composite? False Is 34533383 a prime number? False Is 6311675677 a composite number? False Is 76219259269 a composite number? True Is 1121627123 composite? False Is 1432826819 composite? True Is 11346175669 composite? True Is 45831991 composite? True Is 18116349 composite? True Is 410076691 composite? False Is 16608916111 a prime number? False Is 4235381893 prime? True Is 29670328789 composite? True Is 1120508509 a composite number? False Is 22824452877 a composite number? True Is 24395263 a composite number? False Is 869835809 a composite number? True Is 2300088191 composite? False Is 3966456119 a composite number? False Is 774903029 a composite number? True Is 24422813837 composite? 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False Is 22524903637 prime? True Is 165393817 a composite number? False Is 10952065031 a prime number? True Is 3700515827 a prime number? True Is 1045695643 a prime number? True Is 8376693263 prime? False Is 288469975967 a composite number? False Is 14097913609 composite? True Is 85813037509 a prime number? False Is 125536601 a composite number? True Is 14828096753 composite? True Is 1368085483 a prime number? False Is 11904885886 prime? False Is 11873049427 prime? False Is 1980933421 a composite number? True Is 8223723787 a prime number? True Is 2022182791 prime? True Is 28762193531 a prime number? True Is 1356350942 prime? False Is 10802946333 prime? False Is 240804353 a prime number? False Is 1497892223 a prime number? True Is 114223732307 composite? True Is 422024372431 a prime number? True Is 3746240959 a prime number? True Is 4719170926 prime? False Is 349572617 prime? True Is 3630005539 a prime number? True Is 4045693909 a composite number? False Is 725753761 prime? 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False Is 6378877039 a prime number? False Is 7385208953 a composite number? False Is 12021809 a prime number? True Is 19151616773 a composite number? False Is 32069087 a prime number? False Is 26038530521 a composite number? False Is 102399403 a composite number? True Is 1333898069 composite? True Is 237371179 a prime number? True Is
{ "pile_set_name": "DM Mathematics" }
+ k. Suppose 6*x - 3*x - 24 = n. List the prime factors of x. 2 Let m(o) = o - 3. Let n be m(5). Suppose 2 = n*l - 2. Suppose 0 = l*u - 4*u + 36. List the prime factors of u. 2, 3 Let o = 50 + -33. Let s = 2 - 9. Let h = s + o. What are the prime factors of h? 2, 5 Let v(a) = 2*a - 22. Let z be v(9). Let o = 2 + -3. List the prime factors of 0 - (z + (o - 1)). 2, 3 Suppose 3*h - 68 = 37. Suppose 5*t = 25 + h. Let z = t - 4. List the prime factors of z. 2 Suppose 3*x - 8*x = -10. Suppose -g + 4*g + s + x = 0, -5*s - 20 = 5*g. List the prime factors of g/(-3) - (-98)/6. 2 Suppose 2*v = 5*d - 19, v + 5*d - 42 = -14. Let l be -19 - (0 - (-2 + v)). Let z = -9 - l. List the prime factors of z. 3 Let q = -3 + 5. Suppose 3*t - 18 = -5*w, w = 2*w - t - q. List the prime factors of w. 3 Let g(k) = -7*k**2 - 4*k + 2. Let d(z) = -6*z**2 - 5*z + 2. Let w(q) = 3*d(q) - 4*g(q). List the prime factors of w(1). 3 Let y = 5 - 4. Let z be ((-130)/y)/(-2) - 1. Suppose -6*k + 2*k = -z. What are the prime factors of k? 2 Let k be (-2)/5 + 57/5. Suppose -3*p = -37 - k. Suppose -p = -3*n + 2*n. What are the prime factors of n? 2 Let u = 81 - 43. List the prime factors of u. 2, 19 Let n = 11 - 7. Suppose -y - n*y + 165 = 0. What are the prime factors of y? 3, 11 Let o = -560 - -818. What are the prime factors of (-2)/(-4*3/o)? 43 Let y be (4 + -2)/(-2) + 10. Let t = 90 - 63. What are the prime factors of 114/t + (-2)/y? 2 What are the prime factors of 30/(-2 - 46/(-20))? 2, 5 What are the prime factors of (-237)/(-21) - (-4)/(-14)? 11 Let g(a) = -5*a**2 + 4*a + 13. Let r(y) = -9*y**2 + 9*y + 25. Let f = 6 - 12. Let d(k) = f*r(k) + 11*g(k). What are the prime factors of d(-8)? 3 Suppose -7*l - 120 = -10*l. What are the prime factors of l? 2, 5 Let h(d) = 3*d**3 - 11*d**2 + 6*d - 4. Let n(a) = 10*a**3 - 34*a**2 + 18*a - 12. Let j(q) = -7*h(q) + 2*n(q). What are the prime factors of j(8)? 2, 5 Let f = 104 - 35. List the prime factors of f. 3, 23 Let o(u) = u**2 - 3 + u**2 + 4*u + 6. Let x be 8/(-2) + (-7 - -9). List the prime factors of o(x). 3 What are the prime factors of ((-14)/8 + 1)/((-2)/272)? 2, 3, 17 Suppose -5*f + o = -0*o - 30, 4*o = 0. Let s = -12 + f. List the prime factors of ((-9)/s)/(2/12). 3 Let r = 6 + -2. Suppose 2 = -r*h + 10. Suppose -h*n + 1 + 7 = 0. What are the prime factors of n? 2 Let i(q) = -2*q**2 + q - 3. Let o be i(-5). Let z = o + 129. Suppose 5*d = 2*c + c - 53, 5*c - 4*d = z. List the prime factors of c. 11 Suppose -w - w = -5*v + 7, 2*v - 22 = -4*w. Suppose -w*y - y = -25. Suppose -19 = -y*l + 6. List the prime factors of l. 5 Let s = -9 - -16. List the prime factors of (19 - s) + -4 + 1. 3 Let w(k) = -39*k + 2. What are the prime factors of w(-3)? 7, 17 Let t(z) = z**3 + 4*z**2 + 4*z + 2. Let f be t(-2). Suppose -4*d = -f*d - 18. What are the prime factors of d? 3 Suppose 9*k - 12*k = -855. List the prime factors of k. 3, 5, 19 Let n = 98 - 96. What are the prime factors of n? 2 Let p(h) = 7*h**2 - 6*h**2 + 6*h**2 + h - 2*h. Suppose -2*w = -3*w + 1. What are the prime factors of p(w)? 2, 3 Suppose 2*o - 42 - 2 = 0. Let q = o - 12. List the prime factors of q. 2, 5 Let d(l) = 2*l**2 + 5*l - 1. Suppose 4*c + 4 = i + i, -3*c - 4*i = -8. Suppose 10 = -p - 3*s, 0 = -3*p + 4*s - c - 4. List the prime factors of d(p). 11 Suppose 0*m = -3*m. Suppose m = -5*b + 2*z - 348, -b + 5*b = 5*z - 292. What are the prime factors of (-2)/(-4) - b/8? 3 Suppose 64*k + 267 = 65*k. List the prime factors of k. 3, 89 Let s(v) be the first derivative of v**2/2 + 5*v - 4. Let n be s(5). Suppose -n = -0*m - m. List the prime factors of m. 2, 5 Suppose 12 = 5*l - 2*l. Suppose l*h = 4*j + 20, -28 + 3 = 5*j. List the prime factors of 11 - (h - 2*-1). 3 Suppose 0 = 7*t + 23 - 1808. What are the prime factors of t? 3, 5, 17 Let u be (13 + 1)/2 - 1. Let l(a) = -a**3 + 6*a**2 + 2*a - 6. What are the prime factors of l(u)? 2, 3 Let a(g) = g**2 + 11*g - 5. Let m be a(-11). Let y = 8 + m. List the prime factors of y. 3 Suppose 0 = -2*o + 5*c + 7, -2*o + 16 + 1 = 5*c. Suppose 4 = -o*y + 2*y. List the prime factors of 4/(2 + y - 0). 2 Suppose 4*c + 4*m - 20 = 0, c + 5*m = 6*c - 55. Let j(v) be the first derivative of -v**4/4 + 8*v**3/3 + v**2/2 - v + 3. What are the prime factors of j(c)? 7 Let y be (-10)/(-3) - (-2)/3. Suppose r = 2*r - 5*b + 23, y*r = -4*b - 140. Let z = -18 - r. What are the prime factors of z? 3, 5 Suppose 15 = 2*o + z, 4*o - z - 9 = 4*z. What are the prime factors of o? 2, 3 Let r be -15*((-12)/(-9))/(-2). Let f = r - 6. What are the prime factors of f? 2 Let s be -1*(-26 - -3) - -1. Suppose -5*v + s + 46 = 0. What are the prime factors of v? 2, 7 Suppose 13*t - 10*t = -54. Let h = 54 + t. What are the prime factors of h? 2, 3 Let a be (3/(-1))/(3/2). Let s(q) = -q**3 + 2*q + 1. Let g be s(-2). Let w = a + g. List the prime factors of w. 3 Let d(w) = w**2 + 3*w + 4. Let m be d(-3). Suppose 0 = u - 2*u - m. List the prime factors of u + 5 + (-1 - -2). 2 Let h = 110 - -85. List the prime factors of h. 3, 5, 13 Let l be 8/(-12) - 104/(-3). Suppose -k = k - l. What are the prime factors of k? 17 Let r be (3/4)/((-3)/(-12)). Suppose 0 = -r*j + 77 + 13. What are the prime factors of j? 2, 3, 5 Suppose -3*q - 26 = -5*n - q, -5*q - 27 = -3*n. Suppose -3*x + 7 = -5. Suppose -3*u + 3 = 0, -u - 11 = -n*s + x*u. List the prime factors of s. 2 Suppose -5*u - 6 = 4*c - 85, 3*u - 4*c = 41. List the prime factors of u. 3, 5 List the prime factors of (-2675)/(-50) - 1/2. 53 Let r(k) = -k**2 + k + 4. Let v(g) = -2*g**2 + 4*g + 12. Let n(y) = -11*r(y) + 4*v(y). List the prime factors of n(-3). 2 Suppose 3*c + 5*v - 65 = 48, 127 = 3*c - 2*v. What are the prime factors of c? 41 Let c(h) = -h**2 + 9*h - 10. Let a be c(7). Suppose 0 = -a*n + 2*n + 34. List the prime factors of n. 17 Let r(o) = 2*o**2 + 5*o + 2. Let i = -2 + -2. What are the prime factors of r(i)? 2, 7 Suppose -5*t = -5*o - 40, -6*o + 20 = -2*o. Suppose -3*d + 15 = 4*b, -4*b + 11 = -4*d + b. Let y = t - d. What are the prime factors of y? 2, 3 Let n be (-3)/(-4) - (-414)/24. Let l be (1 + -2)*0/1. Suppose l = -s + n - 1. List the prime factors of s. 17 Let h = 492 + -342. What are the prime factors of h? 2, 3, 5 Let u = -8 + 7. Let h(b) = -6*b + 1. What are the prime factors of h(u)? 7 Let x be 31 + (-1 - (2 + -2)). Let w = x - -10. Suppose 0*m - 4*m + w = -3*a, -4*m + 4*a + 44 = 0. What are the prime factors of m? 7 Let v(t) = -t**2 - 11*t + 8. List the prime factors of v(-10). 2, 3 Let u be (-450)/(-12) + 1/(-2). Let p = u + -13. Suppose 0*y = 4*y - p. What are the prime factors of y? 2, 3 Let q(g) = 2*g**2 + 15*g + 20. What are the prime factors of q(-10)? 2, 5, 7 Suppose 0 = -r - b + 93 + 42, -135 = -r - 5*b. What are the prime factors of r? 3, 5 Suppose m = -0*m + 64. Suppose -5*v + v = -4*c + m, -4*v - 4 = c. List the prime factors of c. 2, 3 Let v = 0 - -4. Let l be (15/2)/(2/v). What are the prime factors of (0 - -1)*(-3 + l)? 2, 3 Let n(h) = -h**2 + 18*h - 15. What are the prime factors of n(16)? 17 Let l(g) = -g**2 - g + 1. Let k be l(2). Let v(c) = -c**2 - 6*c - 1. Let z be v(k). Suppose z*f = 5 + 3. List the prime factors of f. 2 Let s(i) = -i + 7*i - 6*i**2 + 7 - 3 - 2*i**3. Let z(t) = t**3 + 7*t**2 - 6*t - 4. Let k(j) = 2*s(j) + 3*z(j). What are the prime factors of k(8)? 2, 3 Let f(y) be the third derivative of -y**5/60 - y**4/24 + 29*y**3/6 + 2*y**2. Let z be f(0). Suppose -4*u + z + 11 = 0. List the prime factors of u. 2, 5 Let i = -12 + 17. Suppose -5*k + 135 = i*j, k = 5*j - 124 + 19. List the prime factors of j. 2, 11 Suppose 0 = 4*q - 2*x - 214 - 38, -4*q - 3*x = -262. List the prime factors of q. 2 Let c be 5*(2 - 1) - 3. Suppose -c*b - 3*b = -300. Suppose 2*p + 15 = 3*p - 2*r, 4*p - b = 3*r. List the prime factors of p. 3, 5 Suppose 0*m = -4*m + 4. Let d(b) = -2*b + b + m + 1 + 2*b. What are the prime factors of d(6)? 2 Let g = 6 - 3. Let h be (-46)/(-3) + g/(-9). Suppose -h = -3*d - 2*d. What are the prime factors of d? 3 Let c be (-2)/((-6)/(-9)) - -3. Suppose -5*j - a + 22 = -23, c = -3*j - 4*a + 27. List the prime factors of j. 3 Let g(o) = o**3 - 6*o**2. Let z be g(6). Suppose z = 2*m + m. Suppose m = -4*d - d + 15. List the prime factors of d. 3 Suppose 6 - 1 = -5*x. List the
{ "pile_set_name": "DM Mathematics" }
*i**3 + 11*i - 3*i + 0*i. Calculate 2*l(o) - 133*z(o). -38*o**3 Let g(f) = 9*f**2. Let z(u) = 17*u**2 - u. Suppose 6600*a - 6595*a + 35 = 0. Determine a*g(v) + 4*z(v). 5*v**2 - 4*v Let p(j) = 7*j + 4. Let y(u) = u**2 - 13*u + 20. Let f be y(13). Suppose -28 = 4*k - 4*x, 0 = 4*x - f + 16. Let i(z) = -8*z - 5. Determine k*p(q) - 5*i(q). -2*q + 1 Let d(o) = -8 - 3*o + o**3 - 3*o**3 + 4*o**3 + o**2. Let s(g) = -3*g**3 - 2*g**2 + 4*g + 9. Suppose -23*t - 265 = -460 + 264. Determine t*s(w) - 4*d(w). w**3 + 2*w**2 + 5 Let j(b) = b**2 + b - 1. Let h(v) = -4*v**2 - 5*v + 11. Let s be (8/6)/(46/207). Let c be (-1 + 1 + 1)/(s/36). Calculate c*j(d) + h(d). 2*d**2 + d + 5 Let q(h) = -7*h**2 - h. Let k(m) = 15*m**2 + 3*m. Let x(j) = 4*k(j) + 9*q(j). Let i(s) = -16*s**2 + 14*s. Suppose -70 = -39*z + 4*z. Determine z*i(n) - 11*x(n). n**2 - 5*n Let a(s) = 35*s + 41*s + 43*s - 2 - 123*s. Let m(x) = -8 + 31 - 22. Give -2*a(i) - 4*m(i). 8*i Let z(v) = -15*v + 10. Let u(q) = -9*q + 2. Let l(b) = 4*u(b) - z(b). Let y(a) = a. Give l(f) + 6*y(f). -15*f - 2 Let n(o) = -6*o**2 + 2*o + 5. Let u(a) be the second derivative of 17/12*a**4 - 7*a**2 + 0 - 44*a - a**3. Give -8*n(d) - 3*u(d). -3*d**2 + 2*d + 2 Let f(b) = 4*b**2 + 149*b + 33. Let r(q) = -q**2 - 37*q - 9. Determine -6*f(u) - 22*r(u). -2*u**2 - 80*u Let x(d) = -d**2 + 13*d + 5. Let s(h) be the second derivative of h**4/12 - h**3 - 3*h**2/2 - 7856*h. Determine 5*s(r) + 3*x(r). 2*r**2 + 9*r Let b(v) be the first derivative of 9*v**2/2 - 6*v + 7. Let k(o) = 5*o - 3. Suppose 0 = -8*z + 9*z - 3. Let f = 6 - z. Give f*b(l) - 5*k(l). 2*l - 3 Let v = -91 + 73. Let p be (-4)/v - 130/18. Let t(y) = y - 5. Let x(u) = -3*u + 11. Let l be 1/(-2)*12/2. Determine l*x(f) + p*t(f). 2*f + 2 Let y(m) = -633*m**2 - 5*m + 633*m**2 - 4*m**3 + 2 + 6*m. Let u be 1*(-3 + 0 - -3). Let l(d) = -16 + u*d**2 + 17 + d**2 - d**3 + d. Calculate l(v) - y(v). 3*v**3 + v**2 - 1 Let i(f) = -741*f - 89. Let q(o) = 81*o + 10. Determine -2*i(w) - 19*q(w). -57*w - 12 Let k(j) = 5*j + 4. Let x = 1002 - 798. Let c be 792/x + (-2)/(-17). Let d(p) = 6*p + 3. Determine c*d(q) - 3*k(q). 9*q Let i(c) = 6*c**3 + 4*c**2 - 5*c. Let d = 355319 + -355323. Let j(r) = 4*r - 3*r**2 - 3*r**3 - 3*r**3 + r**3. Give d*j(u) - 3*i(u). 2*u**3 - u Let s(x) = 4*x + 4. Let t(q) = 4*q + 3. Suppose -686 = -193*u - 65*u - 1976. Determine u*s(p) + 4*t(p). -4*p - 8 Let l(u) be the third derivative of -19*u**4/24 - 17*u**3/6 + 688*u**2. Let r(s) = 10*s + 9. Give 6*l(o) + 11*r(o). -4*o - 3 Let u(n) = 13*n - 8. Let z(a) = -23*a + 19. What is 10*u(g) + 6*z(g)? -8*g + 34 Let d(g) = -14*g**3 - 179*g**2 - 6*g + 29. Let w(o) = -40*o**3 - 537*o**2 - 17*o + 85. What is 17*d(z) - 6*w(z)? 2*z**3 + 179*z**2 - 17 Let v(c) = -4*c**2. Let m(a) = 37*a**2 + 5 - 21*a**2 - 15*a**2 - 5. What is -5*m(i) + v(i)? -9*i**2 Let j(n) be the second derivative of -n**3/6 + 2*n**2 + n. Let s(x) = -4. Let i = 67 + -82. Let q be (i + 18)*(-1 + -1 + 1). Calculate q*s(y) - 2*j(y). 2*y + 4 Let k(l) = l**3 + l**2 - l - 6. Let r(w) = 29*w**3 + 9*w**2 - 11*w - 73. Give 11*k(i) - r(i). -18*i**3 + 2*i**2 + 7 Let w(p) = 8 - 6 + 2*p + 7 - 6. Let i(s) = -5*s - 8. Determine 4*i(l) + 11*w(l). 2*l + 1 Let j(f) = 5*f + 2. Suppose 0*z - 4*p = 4*z + 4, -4*z + 5*p = 22. Let o(q) = 10*q + 40 + 11 - 79 + 32. Determine z*o(m) + 7*j(m). 5*m + 2 Let g(z) = 7*z**3 + 9*z**2 + 66*z + 19. Let u(x) = -x**3 - x**2 - 7*x - 2. Let c(r) = g(r) + 9*u(r). Let h(a) = -3*a**3 + 4*a + 1. Determine -5*c(j) + 4*h(j). -2*j**3 + j - 1 Let n(w) = -7*w + 6. Let h(c) = -97 + 56*c - 125 + 173. Let k(a) = 2*a - 2. Let z be k(-2). What is z*h(y) - 49*n(y)? 7*y Let s(f) = 11*f**2 + 7*f - 14. Let k(w) = -3*w**2 - 2*w + 4. Let p(g) = -7*k(g) - 2*s(g). Let r(n) = -5*n**2 + 9*n + 2. Determine 4*p(o) - r(o). o**2 - 9*o - 2 Let n(q) = -21*q - 5. Let k(i) = 3*i. Determine 6*k(o) - 2*n(o). 60*o + 10 Let o(p) = -13*p. Let y(r) = 144*r. Let v = -15166 - -15211. Give v*o(g) + 4*y(g). -9*g Let v(k) = -61*k**2 - 6*k - 6. Let s(b) = -11591*b**2 - 1139*b - 1139. Suppose -6262*w + 5*m = -6263*w - 41, 4*w + m = -31. Calculate w*s(h) + 1139*v(h). 67*h**2 Let a(f) = f**3 + 1. Let b(m) = -19*m**3 - m**2 + 4. What is 8*a(v) - b(v)? 27*v**3 + v**2 + 4 Let k(m) = m**2 - 7*m. Let j(i) = -2*i**2 + 14*i. Suppose 107*y + 100 = -221. Give y*j(f) - 5*k(f). f**2 - 7*f Let o(z) = z**3 + 5*z**2 + 5*z - 10. Let w be -3*2 + 2/2. Let m(h) be the second derivative of h**4/12 + h**3/6 - h**2/2 - 18684*h. Determine w*m(g) + o(g). g**3 - 5 Let a(s) = -40*s**3 + 2*s**2 - 51*s + 4. Let l(p) = -p**2 + 11*p - 1. Calculate -a(w) - 2*l(w). 40*w**3 + 29*w - 2 Let i(n) = -68*n**3 - 17*n + 17. Suppose 2*s = 4*g + 274 - 288, 4*s = g - 63. Let h(x) = 17*x**3 + 4*x - 4. What is s*h(y) - 4*i(y)? -17*y**3 Let k be 2 + 3/(-1) + -4. Let c(b) = b**3 - 5*b**2 + 7. Let x(u) be the second derivative of -u**5/10 + 7*u**4/12 - 5*u**2 - 143*u. Determine k*x(g) - 7*c(g). 3*g**3 + 1 Let u(j) be the first derivative of -j**3 - j**2 - 4. Let l(p) = -7*p**2 - 5*p. Let v = 21 + -24. Let h be (v + (-36)/(-8))*90/(-27). Calculate h*u(a) + 2*l(a). a**2 Let i(a) = -148*a**3 + 9. Let f(t) = 37*t**3 - 2. Determine 26*f(c) + 6*i(c). 74*c**3 + 2 Let g(b) = -4*b**2 - b - 2. Let o(f) = f**3 + 5*f**2 + f + 2. Suppose 346*y + 1454 + 143 = 213. Determine y*o(m) - 5*g(m). -4*m**3 + m + 2 Let w(p) = 30*p + 89. Let v(y) = -8*y - 27. Let o(h) = 7*v(h) + 2*w(h). Let u(m) = -m. What is o(t) + 2*u(t)? 2*t - 11 Let h(g) = 1086*g**3 + 4706. Let x(k) = k**3 + 2. Give -2*h(f) + 4706*x(f). 2534*f**3 Let v(f) = 26*f**3 + 4*f. Let q(j) = 254*j**3 + 6*j**2 + 41*j. Let a(i) = -3*i**3 + 3*i**2 + i. Let n(z) = 2*a(z) - q(z). What is -4*n(p) - 39*v(p)? 26*p**3 Let v(i) = 4*i**2 - 18*i + 1. Let n(k) = 414*k + 413. Let t be n(-1). Let b(q) = q**2. Calculate t*v(u) + 3*b(u). -u**2 + 18*u - 1 Let g(c) = 27*c**2 + 4*c + 1. Let i(x) = -55*x**2 - 11*x - 4. Calculate -5*g(t) - 2*i(t). -25*t**2 + 2*t + 3 Let t(s) = -10*s + 2. Let c(f) be the first derivative of f**2/2 - f + 2. Let y(b) = 3*c(b) + t(b). Let z(h) = 4 + 0 + h + 1 - 5. What is y(x) + 5*z(x)? -2*x - 1 Let t(x) = 4*x**3 + 4*x**2 - 6*x - 6584. Let d(u) = -25*u**3 - 26*u**2 + 39*u + 39505. Give 2*d(g) + 13*t(g). 2*g**3 - 6582 Let r(d) be the second derivative of -d**4/12 + 5*d**3/6 + 2*d - 73. Let z(s) = s. Determine 2*r(o) - 10*z(o). -2*o**2 Suppose -3*u = 3*r - 24, 15 = -7*u + 4*u. Let w(b) = -8 + 40 - 18 - r. Let h = 4 - -6. Let v(t) = t - 5. What is h*w(x) + 2*v(x)? 2*x Let k(n) = 16*n**2 + 276*n + 3. Let s(q) = -13*q**2 - 278*q - 2. Determine 5*k(o) + 6*s(o). 2*o**2 - 288*o + 3 Let z(u) = -3*u**2 + 12*u - 4. Let n(d) = -d**3 - 2*d**2 + 14*d - 7. Give 2*n(r) - 3*z(r). -2*r**3 + 5*r**2 - 8*r - 2 Let v(o) be the second derivative of 3*o**3/2 + o**2 + 9*o. Let s(i) be the first derivative of 23*i**2 + 10*i + 7090. What is 2*s(l) - 11*v(l)? -7*l - 2 Let j(s) = 9*s**3 - 5*s + 68. Let y(p) = -5*p**3 + 2*p - 29. Calculate 3*j(m) + 5*y(m). 2*m**3 - 5*m + 59 Let s(z) = 8*z**3 + 2*z**2 - 4*z + 1. Let u(n) be the third derivative of -n**6/15 - n**5/30 + n**4/8 - 2552*n**2. Give -3*s(h) - 4*u(h). 8*h**3 + 2*h**2 - 3 Let x(c) = -c**3 - c**2 + 5*c. Let f(q) = -q**2 - q - 1. Suppose 5*z + 3 = -3*s, -83 = 4*s - 2*z - 79. Give s*x(g) - 2*f(g). g**3 + 3*g**2 - 3*g + 2 Let w(g) = -9*g**3 + 5*g**2 + 28*g + 7. Let r(o) = -8*o**3 + 3*o**2 + 22*o + 6. Determine 7*r(y) - 6*w(y). -2*y**3 - 9*y**2 - 14*y Let q(v) = -10*v**3 + 3*v**2 - 3*v - 3. Let a(w) = w**3 - w**2 + w + 1. Suppose 0 = -3*z + 12. Let c be (-8)/60 - (z - (-77)/(-15)). Calculate c*q(n) + 3*a(n). -7*n**3 Let s(m) = 2*m**3 - 4*m**2 + m + 4. Let k(j) = 1. Let h be -8 + (8/(-16))/(12/(-168)). Give h*s(b) + 4*k(b). -2*b**3 + 4*b**2 - b Let b(c) = -25*c**2 - 16*c + 189. Let d(q) = -16*q**2 - 11*q + 126. What is 14*b(r) - 22*d(r)? 2*r**2 + 18*r - 126 Let o(l) = -35*l**2 - 20*l + 410. Let d(g) = 48*g**2 + 26*g - 547. Calculate 7*d(i) + 9*o(i). 21*i**2 + 2*i - 139 Let v = 35758 + -25369. Let r(n) = -10417 - 11*n + v + 3*n. Let h(l) = -l - 3. Give 56*h(d) - 6*r(d). -8*d Let d be (-540)/120 + 1/(-2). Let f(b) = -17*b**3 - 5. Let i(z) = 77*z**3 + 22. What is d*i(t) - 22*f(t)? -11*t**3 Let s(j) = -151*j + 843. Let g(q) = -121*q + 842. Give 5*g(v) - 4*s(v). -v + 838 Let t(x)
{ "pile_set_name": "DM Mathematics" }
. Let b(l) = l**3 + 3*l**2 - 12*l - 4. Let y be b(-5). Calculate a(y). -11 Suppose -3*x + 2*h - 6 = 8, 28 = -5*x + h. Let o(n) be the third derivative of n**4/24 + 5*n**3/6 + 15*n**2 - 2. Determine o(x). -1 Suppose 3*d - d = -3*k - 4, -5*k - 28 = -2*d. Let w(y) = -y**3 + 2*y**3 - 10*y**2 + 14*y**2 + 4. Give w(k). 4 Let h(v) = 3*v**2 + 7*v + 6. Let s be h(-1). Let c(g) be the first derivative of -1/2*g**s + 0*g + 2 + 4/3*g**3. Calculate c(1). 3 Suppose -5*c + 233 = 213. Let j(i) be the first derivative of 0*i**2 + 1/4*i**c + 2*i + 4/3*i**3 + 6. Give j(-3). 11 Let g be 11 + ((-8)/12)/((-2)/(-6)). Suppose 0 = 5*o - 16 - g, -2*x - 2*o + 2 = 0. Let z(w) = 2*w + 4. Determine z(x). -4 Let i(b) be the third derivative of 2*b**5/15 + 31*b**2. Let u = 6 + -3. Suppose 3*c + u*r + 3 = 0, 4*c + 3 = c + 3*r. Determine i(c). 8 Let r(w) be the first derivative of -1/3*w**3 - 3/2*w**2 + 7*w + 16. Determine r(-6). -11 Let g = 28 + -24. Let v = g + -3. Let l(t) = v + 0 + 15*t + 4*t. Give l(-1). -18 Suppose 0*c - 22 = 2*c. Let t = c - -16. Let f(x) = -3 - 3*x**3 - 7*x**2 - t*x + 1 + 2*x**3. What is f(-6)? -8 Suppose 0 = -3*l + l. Suppose 0*n - n + 6 = l. Let u(f) be the second derivative of f**3/3 - 3*f**2 - 3*f. What is u(n)? 6 Let a(f) = -4*f**3 + f**2 + f - 1. Let o = 254 + -252. Calculate a(o). -27 Let u(q) = q**3 - 3*q**2 + 4*q - 2. Let d = 78 + -51. Let l be d/12 + 4/(-16). Determine u(l). 2 Let v(n) = 2*n - 12. Let u(b) be the second derivative of 0 + 5/3*b**4 + 0*b**3 - 1/20*b**5 + 4*b**2 + 7*b. Let l be u(20). Calculate v(l). 4 Let y(k) = -k**2 + 6*k - 7. Let m = 1013 - 1007. What is y(m)? -7 Let p be 2/(-7) + (-240)/(-105). Let y(f) = 6*f - 4*f**2 + f**2 + p*f**2. Give y(5). 5 Let d(k) be the first derivative of -2*k**2 + 3*k**2 - 2 + k**2 - 3*k. Let g = 16 + -13. Calculate d(g). 9 Let i(b) be the second derivative of 3/2*b**3 + 12*b - 1/12*b**4 + 0 - 5/2*b**2. What is i(6)? 13 Let j = 13 + -11. Suppose j = -4*g + 6. Let f(a) = -3*a - 1. Determine f(g). -4 Let k(i) = i**3 - 6*i**2 + 2*i - 8. Let a = 168 - 112. Suppose 5*p - a = -2*p. Let t = -2 + p. Calculate k(t). 4 Let l(r) = -9*r**2 + r + 1. Let c(z) = -22*z**2 + 2*z + 2. Suppose 5*x + 16 + 9 = 0. Let n(b) = x*c(b) + 12*l(b). Calculate n(-2). 6 Let i(m) = 4*m + 2. Let v be 122/12 - (-18)/(-108). Let x be (-4)/v*-5 - 4. What is i(x)? -6 Let p = -23 + 34. Let o(m) = m**2 + 3*m + 2. Let n be o(-3). Let s(x) = -p + n*x - x + 10. What is s(5)? 4 Let d(l) be the first derivative of 1/3*l**3 - 1/4*l**4 - 12 + 0*l**2 - 14*l. Give d(0). -14 Let b(c) = -c**3 + c**2 + 3. Let z be b(0). Suppose 0*x + 2*x = 5*x. Let t(s) = 0 - 4 + 0 + s + x. What is t(z)? -1 Let u(z) = 5*z**3 - 20*z**2 + 10*z + 9. Let x(n) = -9*n**3 + 38*n**2 - 20*n - 17. Let m(g) = -7*u(g) - 4*x(g). Determine m(11). -6 Suppose 9*f = 17*f - 48. Let y(x) = -x**3 + 6*x**2 + 2*x - 10. Calculate y(f). 2 Let r(w) = w**2 - 16*w + 14. Let j(b) = b**2 - 17*b + 17. Let y(d) = -6*j(d) + 7*r(d). Suppose 3*z - 32 = -2. What is y(z)? -4 Let t(p) = -p**3 + 2 - 541*p + 543*p - 7*p**2 - 10. What is t(-8)? 40 Let i(a) be the first derivative of a**4/4 + a**3/3 + 3*a**2/2 + 5*a + 646. Determine i(-2). -5 Suppose -40*t = -36*t - 12. Let j(k) = -k + 5. Determine j(t). 2 Let a(y) = 9*y**3 - 32*y**2 + 7*y + 19. Let l(r) = 20*r**3 - 66*r**2 + 14*r + 40. Let v(i) = 13*a(i) - 6*l(i). Calculate v(-7). 7 Let g(m) = m**2 + 6*m - 10. Let u be g(-7). Let j(r) = -r**2 + 13*r + 2. Let b be j(13). Let y(w) = w**2 + 20*w - 12*w + b - 4*w. What is y(u)? -1 Let o(g) = g**2 + 8*g + 16. Let j(r) = -3*r - 81. Let k be j(-26). Let m be o(k). Let v(c) be the second derivative of 7*c**3/3 - c. Give v(m). 14 Let a(v) = -v**2 - v + 2. Suppose 25 = -5*g, 7*g - 6*g = 5*z - 20. Calculate a(z). -10 Let s(w) = w + 0*w + 114114 - 114116. What is s(14)? 12 Let x(d) = 40*d - 10 + 5*d - 44*d. Give x(4). -6 Let u(m) = 3*m. Let r(s) = 3*s + 9. Let d be r(-4). Let w(j) = 2*j. Let l(p) = d*u(p) + 5*w(p). Determine l(4). 4 Suppose 0 = -2*s + 6, 2*s = -3*i + 8*i - 9. Let f(z) = -1 - 9 + z - 1 + 5. What is f(i)? -3 Suppose -6*g = -1 - 17. Suppose w + 2*n = -g + 5, -4*n = -w + 2. Suppose w*a - 7*a + 20 = 0. Let h(j) = -j - 2. Determine h(a). -6 Let m(s) = -s**2 - 4*s**2 - s**2 + 7*s**2 + 2*s. Determine m(-2). 0 Let l(f) be the third derivative of 0 + 1/30*f**5 - 1/2*f**3 + 1/12*f**4 - 1/120*f**6 - 14*f**2 + 0*f. What is l(2)? 1 Suppose 46 - 1 = 5*h. Suppose -23 = h*t + 22. Let a(f) = -f**3 - 5*f**2 + f - 1. Determine a(t). -6 Let w = -14 + 17. Suppose -2*q + 7 - w = 0. Let t(y) = 0 + 0 - 5 + 4 + 2*y - y**q + y**3. Calculate t(1). 1 Suppose 7*w - v = 4*w + 12, 0 = -5*w + 4*v + 13. Let b(d) = d**3 - 3*d**2 - 13*d + 19. Calculate b(w). 4 Let z = 7 - 5. Let o(n) = 0*n + n + 3 - z - n**2 - 2. Suppose 2*s - 8 = 0, -k + 2*s - 8 = 4*k. Determine o(k). -1 Let i(f) = 6*f + 12. Let s(v) = -5*v - 12. Let d(x) = 6*i(x) + 7*s(x). What is d(6)? -6 Let h(g) be the second derivative of -g**5/20 + g**2 + 5*g. Let c be h(0). Let k(j) = -c*j - 14*j**2 - 34 + 3*j + 34. Determine k(1). -13 Let i(r) = -5*r + 7. Suppose -15 + 10 = a. Determine i(a). 32 Let m(o) = o**3 + 8*o**2 + 5*o - 7. Suppose 0 = -12*f - 0*f - 84. What is m(f)? 7 Suppose 139 = -3*x + 169. Let q(k) = k**2 - 11*k - 7. What is q(x)? -17 Let y = 13 + -5. Suppose 2*x + 1 = 7. Let i(t) = -t + y + t**2 + 4*t - x. What is i(-4)? 9 Let f(q) = -144*q**2 - 2 + 38*q**2 - q + 107*q**2 + 2*q**3. Let z be -1*(0 - -2)*1. What is f(z)? -12 Let h(o) = 5*o**3 + 9*o**2 - 3*o + 7. Let j(x) = -x**3 - x**2 + x - 1. Let g(a) = -h(a) - 4*j(a). Suppose -78 = -9*z - 123. What is g(z)? 2 Let t(x) = 7*x**2 - 7*x + 3. Let c(h) = 4*h**2 - 4*h + 2. Let a(z) = 5*c(z) - 3*t(z). Let w(y) = -2*y**2 + 2*y + 3. Let n(f) = 3*a(f) - w(f). Determine n(-1). -2 Let p(r) = -2*r**2 - 3*r + 2. Let k be 174/10 + 12/20. Suppose -8 = h - 3*b, k = 3*h - 4*b + 47. Let v = 13 + h. Determine p(v). -12 Let q(o) = -6*o + 2*o + 2*o + 2*o**2 + 4*o. Let r(m) = m**2 - m + 1. Let u(k) = -q(k) + 3*r(k). Determine u(2). -3 Let h = -1 - -5. Let m(l) be the third derivative of -l**5/30 + 5*l**4/24 + l**3/3 + 3*l**2 - 8*l. Give m(h). -10 Let r(q) = -9*q + 11. Let b(h) = -16*h + 20. Let n(w) = 6*b(w) - 11*r(w). Determine n(-8). -25 Let j(i) = -i**2 + 4*i + 2. Let m(q) = 3 + 50*q**3 + 14*q + 1 - 49*q**3 - 9*q**2. Let h be m(7). Determine j(h). 2 Let n(q) = -5*q - 1 - 10*q + 0. Let m be n(-1). Let p(v) = v - 2*v - m + 19. What is p(7)? -2 Let u(f) = -f**3 + 7*f - 2*f - 2*f + 2*f**2. Give u(3). 0 Suppose y + 36 = -79. Let q = 103 + y. Let h(b) = b + 19. Calculate h(q). 7 Let s = 30 - 30. Let u = -1 + s. Let v(g) = -10*g. Give v(u). 10 Suppose -103 = -4*d - 5*k, -k + 17 = d - 8. Let l(t) = -131 + d*t**2 + 64 + 66. Calculate l(-1). 21 Suppose -5 + 0 = 5*u. Let x be 12/(-30) - ((-24)/(-5))/(-2). Let y(t) = x - 2*t**3 - 3 + 4 - 4 + t**2. Determine y(u). 2 Suppose 5*q + 10 = -0*r - 2*r, -r = -2*q - 4. Suppose -2*t - 6 = 2*c, c = -r*c - 4*t + 3. Let w(p) = -p**2 - 3*p + 3. Calculate w(c). -7 Let m(l) = l + 4. Let z = -166 - -177. Suppose 5*s + 61 = -3*i, -4*s - 4*i - 50 = -i. Let d = z + s. Determine m(d). 4 Let j = 4 - 8. Let r(f) be the second derivative of -f**5/20 - f**4/4 + 2*f**3/3 - f**2 - 154*f - 2. What is r(j)? -2 Let i(a) = 2*a - 6. Let o(r) = 6*r - 18. Let h(n) = -8*i(n) + 3*o(n). Let s(j) = 3*j - 6. Suppose 5*c = 5 + 15. Let k(d) = c*h(d) - 3*s(d). Give k(-6). 0 Let n(p) = -11*p - 8. Let j(l) = 29*l + 24. Let t(s) = 3*j(s) + 8*n(s). Determine t(0). 8 Let b(u) = 4*u**3 - 6*u**2 + 4*u - 2. Let m(k) = 5*k**3 - 6*k**2 + 3*k - 2. Let z(c) = -4*b(c) + 3*m(c). Let j = 8 - 3. Give z(j). -8 Let b(l) be the third derivative of -l**6/60 - l**5/30 - 2*l**3/3 + 146*l**2. Determine b(-2). 4 Let n(f) = -f**3 + 5*f**2 - 4*f + 3. Let b(l) = l + 3. Let m(v) = 3. Let w(r) = 3*b(r) - 2*m(r). Let t be w(0). Determine n(t). 9 Suppose -4*r + 5*f = -14 - 36, 3*r = 2*f + 34. Let m(d) = -d**2 + 12*d - 15. What is m(r)? 5 Let w(h) = 14*h + 16. Let z(v) = 21*v + 23. Let a(t) = 7*w(t) - 5*z(t). Give a(-3). 18 Let d(n) = n**3 + 7*n**2 - 10*n - 9. Let q be d(-8). Let k(u) = 2*u**3 + 9 + 8*u**2 + u**3 - 9*u + 3*u**3 - q*u**3. Calculate k(7). -5 Let z = 41 - 39. Let p(s) = -z*s**3 - 113 + 3*s**2 + 107 + 3*s**3 - 6*s. Determine p(-4). 2 Let b(v) = -
{ "pile_set_name": "DM Mathematics" }
7? 17 Which is greater: 2148 or 2062? 2148 Is -139 less than -9852/71? True Is 1 less than 2/385381? False Is -507 at most as big as -10163/20? False Which is smaller: -4126/1775 or -3? -3 Is -1102 at least 980? False Is -250/43 not equal to -12? True Is 22 > 1524/65? False Which is bigger: -580 or -1009? -580 Is -2.28607 greater than or equal to 0.1? False Which is smaller: -1 or 1/130624? -1 Is -1.3697 > -1/6? False Is -817203 at most -817203? True Is 866949 at least as big as -2? True Which is smaller: -946264 or -946265? -946265 Is -80127 smaller than -80198? False Is -37538 at least -37537? False Are 1/4 and -0.5614782 non-equal? True Which is smaller: -9/5 or -27/265? -9/5 Which is smaller: 22368 or 22369? 22368 Which is smaller: 2889 or 2900? 2889 Is 1 greater than or equal to -1/2144? True Which is bigger: -42305 or -42285? -42285 Which is smaller: -144 or -6834/47? -6834/47 Is -3684 at most -3690? False Which is smaller: 1057298 or -1? -1 Is 40862 > 40852? True Which is greater: -60076 or -60077? -60076 Which is bigger: 22/12275 or 1? 1 Is 0 less than -12/4865? False Is -142/8061 equal to 0? False Which is greater: 694590 or 694592? 694592 Which is smaller: -639/100 or -5? -639/100 Which is bigger: -0.2689524 or -1? -0.2689524 Is 119 <= 6.82? False Is -38/21 greater than -3? True Which is bigger: -2149 or 369? 369 Which is bigger: 799 or 760? 799 Is -132145 equal to -132144? False Which is bigger: 24 or 209/9? 24 Which is bigger: -2798 or 2? 2 Is -2/259 equal to 263? False Are 1032721 and 4 non-equal? True Which is bigger: 18591 or -0.02? 18591 Which is smaller: 2755 or 19293/7? 2755 Is -1/967 less than or equal to 0.4? True Is -30 < -121? False Which is greater: 2673 or -1? 2673 Is 0.3 less than or equal to 0.014033? False Is -2397 at least 215? False Is -10525 less than -10428? True Which is smaller: -440 or -32655/74? -32655/74 Which is smaller: 7691 or -1.2? -1.2 Is 20/7 at most 2? False Is -562369 equal to -562371? False Is 20 greater than 339/16? False Which is bigger: 1176457 or 1176458? 1176458 Which is smaller: -1954 or -2096? -2096 Is 13688 < 13681? False Which is smaller: 65843 or 65842? 65842 Is -1 at least as big as 7/35422? False Is 10612 at most as big as 10614? True Is -1806 greater than or equal to -1809? True Which is greater: -5692 or -5691? -5691 Does 820905 = 820906? False Which is smaller: -17 or -5.101? -17 Does 25290 = 25279? False Is -1 smaller than -343/4008? True Which is smaller: -5724/313 or -19? -19 Which is smaller: -12187 or 2/131? -12187 Which is smaller: 196 or -172? -172 Is -62/1449 equal to -1? False Is 16/11 less than or equal to 25734? True Is -6344 smaller than -6338? True Which is smaller: 15907 or 15908? 15907 Which is greater: 35700 or 35707? 35707 Which is bigger: 59509 or 238031/4? 59509 Which is greater: 1 or -41/10092? 1 Which is greater: -7 or -650/103? -650/103 Which is smaller: -0.1 or 3741712? -0.1 Which is greater: 0.2 or 0.029188? 0.2 Which is smaller: -111 or 34? -111 Which is smaller: 1/732625 or -1? -1 Which is smaller: -1 or 38143? -1 Is 4206983 < 4206984? True Do 76/9049 and 1 have the same value? False Does -2326 = -2336? False Which is bigger: -284597/7 or -40658? -284597/7 Which is smaller: -107/9033 or 1? -107/9033 Which is bigger: -2/35004017 or -1? -2/35004017 Which is smaller: -0.2 or 5/217451? -0.2 Which is smaller: -146690 or -146679? -146690 Which is smaller: 11610 or 522472/45? 11610 Which is smaller: 213169/4 or 53291? 53291 Which is greater: 3129 or 2928? 3129 Which is smaller: 0.082 or -930? -930 Is -6322 equal to -50587/8? False Is 21622 greater than or equal to 21609? True Which is greater: 16/8869 or -32? 16/8869 Which is smaller: 1576/3313 or -1? -1 Which is smaller: -19790 or -19823? -19823 Which is smaller: 5990 or 5992? 5990 Which is smaller: -111951/47 or -2383? -2383 Is 2 greater than or equal to 2139/694? False Is 1003 >= 293? True Which is bigger: -20794 or -163? -163 Is -6600 greater than -46206/7? True Is 1/814 greater than -4430? True Do 1 and 2/39810335 have different values? True Which is smaller: 12 or -21600? -21600 Does -10833 = -10872? False Which is smaller: 43/648 or 1/2? 43/648 Are -0.1 and 3234993 unequal? True Are -392 and -287 equal? False Which is greater: -1365 or -1363? -1363 Which is bigger: 0 or 80/65799? 80/65799 Is 39/7907 less than 0? False Which is smaller: -37.521 or 0.1? -37.521 Which is greater: 2/3 or -1164/71? 2/3 Which is bigger: -661 or -667? -661 Which is greater: 376 or 457? 457 Is 2/24357 at least as big as 1? False Is 0.02 less than or equal to -12255? False Is 22590 smaller than 22596? True Are 91 and 272 non-equal? True Are 1182/11 and -5 unequal? True Is -0.06 greater than 2639? False Is -6/615299 > 0? False Which is bigger: 199/1094 or 0? 199/1094 Is -8/67953 greater than 0? False Is -1/3 not equal to -10/2657? True Is 2879 equal to 2895? False Which is smaller: -22120 or -9/19? -22120 Is 382992 < 382991? False Which is bigger: 0 or 14889? 14889 Is 21113 at most as big as 21003? False Which is smaller: 15788 or 15717? 15717 Do 0 and 1130/4397 have the same value? False Is -29290/197 less than or equal to -149? False Which is greater: 1 or 7/15833? 1 Which is bigger: 53/6 or 33685? 33685 Which is smaller: 3/154463 or -1? -1 Which is smaller: 150435 or 150426? 150426 Which is smaller: 1571 or -117? -117 Are 1/8 and -363630 nonequal? True Is 348353 smaller than 348355? True Is -555 less than -60462/109? True Which is bigger: 8063 or 24191/3? 24191/3 Is 162127 less than or equal to 162127? True Which is smaller: -15288 or -15289? -15289 Is -125981/18 <= -6998? True Is -2167 at least as big as 113? False Is -2090 at most as big as -39694/19? True Is 484767 >= 484766? True Which is bigger: 1 or 4/118647? 1 Is 6852045 > 6852045? False Which is smaller: -5/417866 or 1? -5/417866 Which is greater: -617225 or -1851676/3? -617225 Which is smaller: 5 or 413/67? 5 Is 544 greater than or equal to 7076/13? False Is -2/21 at most 3.6478? True Is -42 equal to -3376? False Do 688501 and 688499 have the same value? False Are 9/1097 and -7 nonequal? True Which is smaller: 2/3 or 48633? 2/3 Which is bigger: -1 or 317/1156? 317/1156 Is 246/529 greater than or equal to -1? True Do 2850911 and 2850913 have different values? True Which is bigger: -1/3 or -579/67? -1/3 Which is bigger: 1 or 306/6083? 1 Is 1549 less than or equal to -0.1? False Which is greater: 82/2223 or -1? 82/2223 Which is smaller: -16 or -541/31? -541/31 Is -42 at most -4863/112? False Is -17498 at least -17498? True Do 1/1359 and 0 have different values? True Which is bigger: 7085795 or 7085796? 7085796 Is -1064 <= -1179? False Does 8077 = 8072? False Which is smaller: 17550 or 157957/9? 17550 Which is greater: 3386624 or 3386623? 3386624 Is -4930/7 smaller than -704? True Is 606/109 < 5? False Do 7280 and 7279 have different values? True Which is greater: -8/13 or -267/10? -8/13 Is -20622 >= -144357/7? True Is -1732 bigger than -28? False Which is smaller: 472 or 518? 472 Is -15901 less than -206694/13? True Is -1969.8 > -3/16? False Which is smaller: -121 or 146? -121 Is -967 less than or equal to -975? False Does -88117 = -616810/7? False Is -1 at least as big as 2/232127? False Which is smaller: 27845 or 27873? 27845 Which is smaller: -13423/4 or -3357? -3357 Is -40.5 less than or equal to -25/133? True Is -1/160 < 17? True Which is greater: -2024 or 3/37? 3/37 Which is smaller: 53801 or 53788? 53788 Which is smaller: 2/5 or 13662? 2/5 Which is smaller: -65/86 or 0? -65/86 Which is smaller: -1/3 or 31.9239? -1/3 Which is smaller: -22948 or -344242/15? -344242/15 Is -290 at most 40? True Which is greater: 81/13978 or 1? 1 Is -1 less than 119/1608? True Is 51598 at least as big as -1? True Are -3435 and -3432 equal? False Is -38715 < -38720? False Which is greater: 0.1 or 616014? 616014 Which is smaller: 130088 or 130063? 130063 Is -9 equal to -3? False Which is greater: 1170238 or 1170243? 1170243 Is -28502 not equal to -28505? True Is -1 less than or equal to -3/192635? True Do 3/308 and -79.2 have the same value? False Which is smaller: 238 or 288? 238 Which is greater: 37.6 or 78? 78 Which is smaller: -17851 or 2/23? -17851 Do 0 and 21/797 have the same value
{ "pile_set_name": "DM Mathematics" }
M? 1:05 AM How many minutes are there between 7:00 PM and 4:30 AM? 570 How many minutes are there between 2:07 PM and 6:41 PM? 274 How many minutes are there between 7:43 PM and 11:43 PM? 240 What is 595 minutes after 11:24 AM? 9:19 PM How many minutes are there between 6:52 AM and 2:29 PM? 457 How many minutes are there between 12:18 PM and 10:48 PM? 630 What is 300 minutes after 8:47 PM? 1:47 AM What is 457 minutes before 1:31 AM? 5:54 PM How many minutes are there between 5:39 AM and 2:52 PM? 553 How many minutes are there between 11:57 PM and 4:50 AM? 293 What is 149 minutes after 8:36 AM? 11:05 AM What is 398 minutes before 6:20 AM? 11:42 PM What is 507 minutes before 10:40 AM? 2:13 AM What is 289 minutes before 7:23 AM? 2:34 AM How many minutes are there between 11:46 AM and 1:27 PM? 101 How many minutes are there between 9:09 AM and 3:53 PM? 404 How many minutes are there between 1:58 PM and 9:08 PM? 430 What is 520 minutes after 8:44 PM? 5:24 AM What is 250 minutes after 1:32 PM? 5:42 PM How many minutes are there between 10:51 AM and 9:32 PM? 641 How many minutes are there between 5:11 AM and 1:57 PM? 526 How many minutes are there between 8:42 PM and 10:48 PM? 126 How many minutes are there between 11:38 AM and 6:42 PM? 424 How many minutes are there between 1:17 PM and 3:20 PM? 123 How many minutes are there between 2:11 PM and 9:01 PM? 410 What is 153 minutes after 12:56 AM? 3:29 AM What is 661 minutes after 12:23 PM? 11:24 PM What is 152 minutes before 4:46 AM? 2:14 AM What is 543 minutes after 12:10 AM? 9:13 AM What is 589 minutes after 1:12 AM? 11:01 AM How many minutes are there between 1:30 AM and 2:33 AM? 63 What is 67 minutes after 12:14 AM? 1:21 AM What is 680 minutes after 9:01 AM? 8:21 PM What is 310 minutes before 6:58 PM? 1:48 PM How many minutes are there between 7:44 AM and 3:30 PM? 466 How many minutes are there between 7:19 AM and 10:10 AM? 171 How many minutes are there between 1:01 AM and 8:43 AM? 462 What is 607 minutes before 6:21 AM? 8:14 PM What is 302 minutes before 3:21 PM? 10:19 AM What is 429 minutes after 4:09 PM? 11:18 PM What is 414 minutes after 7:00 PM? 1:54 AM How many minutes are there between 11:01 PM and 10:41 AM? 700 What is 591 minutes before 11:22 AM? 1:31 AM What is 62 minutes after 3:03 PM? 4:05 PM What is 254 minutes before 10:01 AM? 5:47 AM What is 33 minutes after 3:19 PM? 3:52 PM How many minutes are there between 9:36 PM and 9:42 PM? 6 What is 599 minutes after 5:36 AM? 3:35 PM How many minutes are there between 9:33 PM and 1:36 AM? 243 How many minutes are there between 10:41 AM and 3:54 PM? 313 How many minutes are there between 10:25 PM and 12:41 AM? 136 How many minutes are there between 2:43 PM and 3:42 PM? 59 What is 714 minutes after 8:19 AM? 8:13 PM What is 496 minutes before 6:38 PM? 10:22 AM How many minutes are there between 3:58 PM and 2:58 AM? 660 What is 27 minutes before 9:13 AM? 8:46 AM How many minutes are there between 1:20 PM and 9:14 PM? 474 What is 303 minutes before 9:23 PM? 4:20 PM What is 97 minutes after 2:32 AM? 4:09 AM What is 173 minutes before 7:00 AM? 4:07 AM How many minutes are there between 8:00 AM and 9:03 AM? 63 What is 700 minutes after 10:43 PM? 10:23 AM What is 142 minutes after 11:08 AM? 1:30 PM What is 135 minutes after 2:27 AM? 4:42 AM What is 42 minutes after 6:49 PM? 7:31 PM How many minutes are there between 6:29 AM and 2:21 PM? 472 How many minutes are there between 9:35 PM and 1:39 AM? 244 What is 371 minutes before 1:46 AM? 7:35 PM What is 148 minutes after 11:00 AM? 1:28 PM What is 25 minutes before 6:16 PM? 5:51 PM What is 374 minutes after 6:49 PM? 1:03 AM What is 217 minutes after 4:20 PM? 7:57 PM What is 145 minutes after 5:30 AM? 7:55 AM How many minutes are there between 7:19 AM and 6:11 PM? 652 What is 59 minutes after 6:35 PM? 7:34 PM What is 4 minutes after 6:21 AM? 6:25 AM How many minutes are there between 8:01 PM and 9:39 PM? 98 What is 700 minutes after 5:27 PM? 5:07 AM How many minutes are there between 2:51 PM and 6:02 PM? 191 How many minutes are there between 11:44 PM and 5:50 AM? 366 How many minutes are there between 2:38 PM and 11:47 PM? 549 How many minutes are there between 2:11 AM and 4:35 AM? 144 How many minutes are there between 6:40 PM and 12:39 AM? 359 What is 235 minutes before 11:33 AM? 7:38 AM What is 445 minutes before 6:59 AM? 11:34 PM What is 576 minutes after 11:05 PM? 8:41 AM How many minutes are there between 9:02 AM and 10:39 AM? 97 How many minutes are there between 5:01 PM and 11:46 PM? 405 What is 304 minutes after 11:12 AM? 4:16 PM What is 599 minutes after 9:07 PM? 7:06 AM How many minutes are there between 8:05 AM and 12:17 PM? 252 What is 573 minutes after 12:03 AM? 9:36 AM How many minutes are there between 1:03 PM and 10:01 PM? 538 How many minutes are there between 1:39 PM and 12:55 AM? 676 What is 672 minutes before 10:11 AM? 10:59 PM How many minutes are there between 6:54 AM and 6:43 PM? 709 What is 251 minutes before 7:59 AM? 3:48 AM What is 414 minutes after 2:14 AM? 9:08 AM What is 211 minutes before 2:14 PM? 10:43 AM What is 149 minutes after 6:26 AM? 8:55 AM How many minutes are there between 4:26 AM and 10:11 AM? 345 What is 556 minutes before 7:11 PM? 9:55 AM What is 661 minutes after 8:47 PM? 7:48 AM How many minutes are there between 9:59 PM and 10:18 PM? 19 How many minutes are there between 1:49 PM and 10:11 PM? 502 What is 552 minutes after 8:01 AM? 5:13 PM What is 572 minutes before 1:16 AM? 3:44 PM What is 584 minutes before 8:45 PM? 11:01 AM What is 631 minutes after 10:38 AM? 9:09 PM What is 115 minutes after 10:52 AM? 12:47 PM What is 126 minutes after 1:09 AM? 3:15 AM How many minutes are there between 2:11 PM and 10:36 PM? 505 How many minutes are there between 7:11 PM and 8:13 PM? 62 What is 399 minutes before 2:57 AM? 8:18 PM How many minutes are there between 8:05 AM and 4:55 PM? 530 How many minutes are there between 8:21 AM and 11:12 AM? 171 How many minutes are there between 5:13 AM and 6:45 AM? 92 What is 331 minutes after 9:07 PM? 2:38 AM What is 82 minutes before 3:07 AM? 1:45 AM What is 2 minutes after 12:53 PM? 12:55 PM How many minutes are there between 12:25 AM and 12:29 AM? 4 How many minutes are there between 1:46 PM and 12:43 AM? 657 What is 12 minutes before 12:20 PM? 12:08 PM What is 184 minutes before 5:12 AM? 2:08 AM How many minutes are there between 8:20 AM and 2:14 PM? 354 What is 419 minutes after 2:03 PM? 9:02 PM How many minutes are there between 2:52 AM and 4:23 AM? 91 How many minutes are there between 12:27 AM and 2:11 AM? 104 What is 155 minutes before 9:11 PM? 6:36 PM What is 371 minutes before 2:27 AM? 8:16 PM How many minutes are there between 12:24 AM and 9:41 AM? 557 What is 707 minutes before 12:52 AM? 1:05 PM How many minutes are there between 11:34 PM and 10:50 AM? 676 How many minutes are there between 4:27 AM and 2:13 PM? 586 What is 688 minutes after 3:00 AM? 2:28 PM How many minutes are there between 3:22 PM and 8:31 PM? 309 How many minutes are there between 7:54 AM and 6:21 PM? 627 How many minutes are there between 1:59 AM and 8:30 AM? 391 How many minutes are there between 6:02 PM and 5:41 AM? 699 What is 631 minutes before 8:31 PM? 10:00 AM How many minutes are there between 5:28 AM and 10:53 AM? 325 What is 149 minutes after 8:37 AM? 11:06 AM How many minutes are there between 7:54 PM and 9:44 PM? 110 What is 345 minutes after 3:54 PM? 9:39 PM How many minutes are there between 11:17 AM and 9:05 PM? 588 How many minutes are there between 10:14 AM and 3:18 PM? 304 How many minutes are there between 5:56 PM and 7:07 PM? 71 How many minutes are there between 5:10 PM and 12:57 AM? 467 How many minutes are there between 3:36 AM and 6:10 AM? 154 What is 552 minutes after 5:21 PM? 2:33 AM How many minutes are there between 11:20 AM and 4:37 PM? 317 How many minutes are there between 3:10 AM and 10:04 AM? 414 What is 573 minutes after 9:41 PM? 7:14 AM What is 503 minutes after 9:32 AM? 5:55 PM What is 110 minutes after 1:02 PM? 2:52 PM What is 266 minutes before 6:31 PM? 2:05 PM How many minutes are there between 3:09 PM and 10:05 PM? 416 What is 60 minutes after 2:25 AM? 3:25 AM What is 480 minutes after 6:20 PM? 2:20 AM What
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {u: 3, s: 2, n: 5, m: 2, i: 2, t: 2}. Give prob of picking 1 n and 1 s. 1/12 What is prob of picking 1 d and 1 b when two letters picked without replacement from {b: 4, f: 1, d: 5}? 4/9 Calculate prob of picking 1 y, 2 h, and 1 l when four letters picked without replacement from hhgyhlghcjjl. 4/165 Two letters picked without replacement from ttvfttffttftftfftftf. Give prob of picking 2 f. 18/95 What is prob of picking 1 k and 1 o when two letters picked without replacement from akzio? 1/10 Two letters picked without replacement from zwjwwgzwxgwgwwzwwz. Give prob of picking 1 x and 1 z. 4/153 Calculate prob of picking 1 f, 1 u, and 1 c when three letters picked without replacement from kumzmcf. 1/35 Four letters picked without replacement from {o: 5, i: 4, n: 7, p: 3}. What is prob of picking 2 n and 2 o? 35/646 Two letters picked without replacement from {r: 2, x: 4, o: 1, z: 2, u: 10}. What is prob of picking 2 x? 2/57 What is prob of picking 2 j and 1 v when three letters picked without replacement from {v: 4, j: 4, p: 1, z: 6}? 24/455 Four letters picked without replacement from wwmvvwmvwwvwwmmww. Give prob of picking 3 w and 1 m. 12/85 What is prob of picking 2 r and 2 o when four letters picked without replacement from {r: 5, o: 9}? 360/1001 Four letters picked without replacement from yndysynyyyzzlsnyys. Give prob of picking 3 n and 1 s. 1/1020 Calculate prob of picking 1 x and 2 w when three letters picked without replacement from {o: 3, w: 2, x: 3}. 3/56 Two letters picked without replacement from {b: 1, f: 4, c: 8, z: 2, r: 4}. Give prob of picking 1 c and 1 r. 32/171 Two letters picked without replacement from zzmz. What is prob of picking 1 z and 1 m? 1/2 Calculate prob of picking 2 o and 1 l when three letters picked without replacement from {l: 5, o: 15}. 35/76 What is prob of picking 1 q and 2 i when three letters picked without replacement from inhiipqpwiiiwiiiwiww? 3/76 What is prob of picking 2 y and 2 t when four letters picked without replacement from {t: 4, y: 3}? 18/35 Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {i: 7, g: 12}. 28/57 Two letters picked without replacement from {l: 4, k: 3, i: 6}. What is prob of picking 2 k? 1/26 Two letters picked without replacement from hhwhrrrhhwrwrprwrr. What is prob of picking 1 w and 1 r? 32/153 Calculate prob of picking 2 g when two letters picked without replacement from {q: 1, b: 1, a: 2, g: 2}. 1/15 What is prob of picking 2 g and 1 w when three letters picked without replacement from {t: 1, o: 1, g: 5, w: 1, r: 2}? 1/12 What is prob of picking 1 n and 1 o when two letters picked without replacement from {p: 1, n: 1, o: 17}? 17/171 Three letters picked without replacement from {z: 2, n: 3, v: 4, f: 2}. Give prob of picking 2 n and 1 f. 2/55 Calculate prob of picking 1 y, 2 i, and 1 o when four letters picked without replacement from aafffyaoaii. 1/330 What is prob of picking 1 w and 1 o when two letters picked without replacement from ofjjjjowjfj? 2/55 Two letters picked without replacement from cdcddddcdd. Give prob of picking 2 d. 7/15 Calculate prob of picking 1 t and 1 w when two letters picked without replacement from twttw. 3/5 Four letters picked without replacement from pplppppppppppppplp. Give prob of picking 3 p and 1 l. 56/153 Two letters picked without replacement from {d: 4, e: 1, r: 2, y: 1, z: 3}. Give prob of picking 1 d and 1 r. 8/55 Two letters picked without replacement from yiyic. Give prob of picking 2 i. 1/10 Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {q: 1, g: 1, u: 1, d: 1, n: 1, y: 2}. 2/21 Calculate prob of picking 2 e when two letters picked without replacement from {e: 5, j: 2, y: 2}. 5/18 Four letters picked without replacement from ajrarravrvaraaarr. What is prob of picking 3 a and 1 v? 1/34 Four letters picked without replacement from wwgwgwgwggwg. Give prob of picking 4 w. 1/33 Two letters picked without replacement from {p: 4, j: 1, y: 2, i: 4, r: 3}. Give prob of picking 1 y and 1 i. 8/91 Calculate prob of picking 1 x, 1 r, and 1 f when three letters picked without replacement from qqqwqqhxqfqrqqxwrxw. 2/323 What is prob of picking 4 l when four letters picked without replacement from {l: 3, z: 4}? 0 Three letters picked without replacement from {y: 4, q: 4, w: 1, o: 1}. Give prob of picking 1 q, 1 w, and 1 y. 2/15 What is prob of picking 2 h and 2 a when four letters picked without replacement from afahfffffwwfar? 0 Two letters picked without replacement from {c: 1, s: 1, y: 9}. What is prob of picking 1 c and 1 y? 9/55 Two letters picked without replacement from {w: 3, u: 1, d: 1, z: 4, q: 2}. Give prob of picking 1 w and 1 u. 3/55 Two letters picked without replacement from aaaaagigiiiag. Give prob of picking 1 g and 1 a. 3/13 Four letters picked without replacement from mmmsf. Give prob of picking 2 s and 2 f. 0 Two letters picked without replacement from rrr. What is prob of picking 2 r? 1 Four letters picked without replacement from {l: 2, i: 2, w: 3, p: 2}. What is prob of picking 2 w and 2 l? 1/42 Calculate prob of picking 1 p and 1 s when two letters picked without replacement from sspp. 2/3 Four letters picked without replacement from ccooccccoooccccococ. Give prob of picking 1 c and 3 o. 35/323 Two letters picked without replacement from jjjjfjjjjjjj. What is prob of picking 2 j? 5/6 Two letters picked without replacement from {w: 4, k: 1, g: 2, n: 1}. What is prob of picking 1 n and 1 g? 1/14 Four letters picked without replacement from hphdhthhd. What is prob of picking 2 d, 1 h, and 1 t? 5/126 Two letters picked without replacement from {r: 3, p: 2}. Give prob of picking 1 r and 1 p. 3/5 Two letters picked without replacement from ohudouowwudho. Give prob of picking 1 w and 1 o. 4/39 Calculate prob of picking 1 e, 1 v, and 1 g when three letters picked without replacement from geabaagva. 1/42 Two letters picked without replacement from {p: 11, o: 2, r: 2, w: 1}. What is prob of picking 2 r? 1/120 Two letters picked without replacement from yyykky. Give prob of picking 2 k. 1/15 Two letters picked without replacement from wwwwkwwkkwkkww. What is prob of picking 2 w? 36/91 Two letters picked without replacement from {h: 1, r: 1, a: 1, e: 3, m: 4, q: 2}. What is prob of picking 1 h and 1 m? 2/33 What is prob of picking 1 e and 2 o when three letters picked without replacement from {y: 3, f: 4, o: 4, e: 1, a: 4}? 3/280 Three letters picked without replacement from vvbbkbbkvvvvvvbbvvv. Give prob of picking 2 k and 1 v. 11/969 Two letters picked without replacement from {a: 2, h: 3, e: 6, i: 2, b: 5}. What is prob of picking 1 b and 1 a? 10/153 Calculate prob of picking 1 b, 2 g, and 1 y when four letters picked without replacement from bqgbbgby. 2/35 Two letters picked without replacement from lkrkrohlkkrrolkk. What is prob of picking 1 o and 1 h? 1/60 Two letters picked without replacement from bfiipfux. What is prob of picking 1 p and 1 f? 1/14 Two letters picked without replacement from yaofpoopoaoopoapoyo. What is prob of picking 1 o and 1 f? 1/19 Two letters picked without replacement from {v: 4, n: 6}. What is prob of picking 2 v? 2/15 What is prob of picking 1 t, 1 d, and 1 o when three letters picked without replacement from tooodtoodtotdooooo? 11/68 What is prob of picking 2 o and 2 u when four letters picked without replacement from uoooououuuouuouu? 27/65 What is prob of picking 1 r and 1 i when two letters picked without replacement from {r: 3, k: 2, p: 5, i: 7}? 21/136 Calculate prob of picking 2 g and 2 q when four letters picked without replacement from qgqqgogq. 9/35 What is prob of picking 1 w and 1 u when two letters picked without replacement from uluuuuuluww? 14/55 Three letters picked without replacement from dtfymyu. Give prob of picking 1 d, 1 u, and 1 f. 1/35 What is prob of picking 2 v when two letters picked without replacement from vzv? 1/3 What is prob of picking 2 i, 1 d, and 1 y when four letters picked without replacement from idydyyssiiidyiiiiiy? 45/323 Two letters picked without replacement from zzzzaazaqa. What is prob of picking 2 a? 2/15 What is prob of picking 1 j and 1 n
{ "pile_set_name": "DM Mathematics" }
utes before 11:59 PM? 9:13 PM How many minutes are there between 10:33 AM and 10:16 PM? 703 How many minutes are there between 12:27 AM and 1:17 AM? 50 How many minutes are there between 10:58 PM and 9:41 AM? 643 What is 444 minutes before 1:52 AM? 6:28 PM How many minutes are there between 4:15 AM and 8:26 AM? 251 How many minutes are there between 2:44 PM and 3:36 PM? 52 How many minutes are there between 9:48 PM and 1:02 AM? 194 How many minutes are there between 5:28 AM and 1:20 PM? 472 What is 644 minutes before 10:24 PM? 11:40 AM What is 50 minutes before 8:34 AM? 7:44 AM How many minutes are there between 1:06 PM and 11:33 PM? 627 How many minutes are there between 8:52 AM and 9:30 AM? 38 What is 98 minutes after 10:21 AM? 11:59 AM How many minutes are there between 10:02 AM and 6:26 PM? 504 What is 582 minutes after 3:06 AM? 12:48 PM How many minutes are there between 11:13 AM and 6:46 PM? 453 What is 305 minutes after 10:01 AM? 3:06 PM How many minutes are there between 7:11 PM and 6:42 AM? 691 How many minutes are there between 11:58 PM and 1:39 AM? 101 What is 53 minutes before 11:55 PM? 11:02 PM How many minutes are there between 4:42 PM and 7:46 PM? 184 What is 36 minutes before 4:58 AM? 4:22 AM How many minutes are there between 12:03 PM and 4:13 PM? 250 How many minutes are there between 4:43 AM and 10:49 AM? 366 What is 420 minutes before 10:57 PM? 3:57 PM How many minutes are there between 5:59 AM and 7:30 AM? 91 What is 707 minutes after 7:40 AM? 7:27 PM What is 249 minutes before 10:29 PM? 6:20 PM How many minutes are there between 12:39 PM and 12:34 AM? 715 What is 582 minutes after 4:15 PM? 1:57 AM What is 107 minutes before 1:57 AM? 12:10 AM What is 159 minutes before 9:30 AM? 6:51 AM What is 296 minutes after 9:31 AM? 2:27 PM How many minutes are there between 1:01 AM and 3:56 AM? 175 What is 490 minutes after 3:17 AM? 11:27 AM How many minutes are there between 5:24 AM and 2:52 PM? 568 What is 414 minutes before 3:46 AM? 8:52 PM What is 238 minutes after 9:42 AM? 1:40 PM How many minutes are there between 8:57 PM and 11:14 PM? 137 What is 313 minutes after 1:28 PM? 6:41 PM What is 504 minutes before 2:24 AM? 6:00 PM What is 652 minutes after 8:10 AM? 7:02 PM How many minutes are there between 1:05 PM and 10:18 PM? 553 What is 490 minutes before 7:32 AM? 11:22 PM How many minutes are there between 8:23 PM and 12:19 AM? 236 What is 689 minutes before 4:50 PM? 5:21 AM What is 702 minutes after 2:59 PM? 2:41 AM How many minutes are there between 1:15 AM and 1:29 AM? 14 How many minutes are there between 8:24 AM and 6:20 PM? 596 How many minutes are there between 2:21 PM and 2:41 PM? 20 How many minutes are there between 5:57 PM and 9:52 PM? 235 How many minutes are there between 2:11 AM and 7:42 AM? 331 How many minutes are there between 7:40 AM and 6:23 PM? 643 What is 240 minutes after 5:58 AM? 9:58 AM How many minutes are there between 11:13 AM and 7:14 PM? 481 What is 207 minutes after 11:14 PM? 2:41 AM What is 175 minutes before 6:54 PM? 3:59 PM How many minutes are there between 3:38 PM and 12:22 AM? 524 What is 165 minutes after 9:47 AM? 12:32 PM What is 27 minutes before 11:47 AM? 11:20 AM How many minutes are there between 5:00 AM and 7:07 AM? 127 What is 556 minutes after 3:33 AM? 12:49 PM How many minutes are there between 10:07 PM and 4:41 AM? 394 How many minutes are there between 3:38 AM and 8:03 AM? 265 What is 170 minutes after 10:42 AM? 1:32 PM What is 145 minutes after 8:13 AM? 10:38 AM What is 295 minutes before 12:44 PM? 7:49 AM What is 337 minutes before 4:22 AM? 10:45 PM What is 211 minutes before 7:50 PM? 4:19 PM How many minutes are there between 1:13 AM and 9:25 AM? 492 What is 289 minutes before 12:26 AM? 7:37 PM What is 286 minutes before 1:39 AM? 8:53 PM How many minutes are there between 10:11 AM and 12:28 PM? 137 What is 429 minutes after 8:12 PM? 3:21 AM What is 101 minutes after 5:47 PM? 7:28 PM How many minutes are there between 3:21 PM and 1:44 AM? 623 What is 53 minutes after 9:59 PM? 10:52 PM How many minutes are there between 6:32 AM and 12:14 PM? 342 What is 644 minutes after 10:33 PM? 9:17 AM How many minutes are there between 4:34 AM and 3:17 PM? 643 What is 328 minutes before 9:51 PM? 4:23 PM How many minutes are there between 10:03 AM and 7:06 PM? 543 How many minutes are there between 11:41 AM and 3:05 PM? 204 How many minutes are there between 3:00 AM and 12:12 PM? 552 How many minutes are there between 8:42 AM and 7:10 PM? 628 What is 592 minutes after 4:23 AM? 2:15 PM How many minutes are there between 7:56 PM and 9:39 PM? 103 How many minutes are there between 6:22 PM and 2:01 AM? 459 How many minutes are there between 11:01 AM and 12:17 PM? 76 What is 669 minutes before 2:25 PM? 3:16 AM What is 488 minutes before 6:41 PM? 10:33 AM How many minutes are there between 5:09 AM and 6:46 AM? 97 What is 636 minutes before 3:44 AM? 5:08 PM How many minutes are there between 10:47 PM and 11:50 PM? 63 How many minutes are there between 6:25 AM and 11:21 AM? 296 What is 286 minutes after 4:17 PM? 9:03 PM How many minutes are there between 7:22 PM and 12:22 AM? 300 How many minutes are there between 11:57 AM and 7:58 PM? 481 How many minutes are there between 9:55 AM and 12:23 PM? 148 What is 634 minutes after 12:22 PM? 10:56 PM What is 665 minutes before 1:07 AM? 2:02 PM What is 35 minutes after 12:01 PM? 12:36 PM How many minutes are there between 4:16 AM and 2:52 PM? 636 What is 204 minutes before 12:24 PM? 9:00 AM What is 117 minutes after 2:12 AM? 4:09 AM What is 538 minutes before 8:25 PM? 11:27 AM How many minutes are there between 11:22 AM and 9:14 PM? 592 What is 231 minutes after 5:11 PM? 9:02 PM How many minutes are there between 6:06 PM and 10:21 PM? 255 How many minutes are there between 7:47 PM and 6:18 AM? 631 What is 670 minutes before 12:58 PM? 1:48 AM How many minutes are there between 11:50 PM and 5:05 AM? 315 How many minutes are there between 10:18 AM and 6:46 PM? 508 How many minutes are there between 4:01 AM and 10:55 AM? 414 How many minutes are there between 11:58 AM and 6:54 PM? 416 How many minutes are there between 11:15 AM and 9:51 PM? 636 How many minutes are there between 8:02 AM and 11:16 AM? 194 How many minutes are there between 5:50 PM and 8:05 PM? 135 What is 111 minutes before 2:30 AM? 12:39 AM What is 123 minutes after 12:26 PM? 2:29 PM What is 25 minutes after 8:54 PM? 9:19 PM What is 286 minutes before 3:39 PM? 10:53 AM What is 492 minutes after 5:46 AM? 1:58 PM What is 429 minutes before 12:38 PM? 5:29 AM What is 414 minutes after 7:27 AM? 2:21 PM What is 155 minutes after 4:51 PM? 7:26 PM What is 331 minutes before 11:50 AM? 6:19 AM How many minutes are there between 2:13 PM and 1:31 AM? 678 What is 627 minutes before 10:14 AM? 11:47 PM What is 211 minutes before 10:20 PM? 6:49 PM How many minutes are there between 3:20 AM and 8:44 AM? 324 How many minutes are there between 9:38 AM and 11:45 AM? 127 What is 709 minutes after 9:34 PM? 9:23 AM What is 56 minutes before 7:15 AM? 6:19 AM How many minutes are there between 11:52 PM and 10:52 AM? 660 How many minutes are there between 9:41 AM and 6:21 PM? 520 What is 692 minutes after 11:56 PM? 11:28 AM How many minutes are there between 4:06 PM and 1:48 AM? 582 What is 321 minutes after 11:12 AM? 4:33 PM What is 535 minutes after 4:57 PM? 1:52 AM How many minutes are there between 8:00 AM and 1:05 PM? 305 What is 609 minutes after 3:05 PM? 1:14 AM What is 253 minutes before 4:30 AM? 12:17 AM How many minutes are there between 5:11 PM and 12:05 AM? 414 How many minutes are there between 6:22 AM and 6:06 PM? 704 What is 154 minutes before 12:06 AM? 9:32 PM How many minutes are there between 2:42 PM and 11:55 PM? 553 What is 530 minutes before 12:52 AM? 4:02 PM How many minutes are there between 3:59 AM and 4:58 AM? 59 How many minutes are there between 4:37 AM and 5:37 AM? 60 How many minutes are there between 4:22 AM and 6:00 AM? 98 How many minutes are there between 5:18 PM and 5:05 AM? 707 What is 416 minutes before 7:27 PM? 12:31 PM What is 432 minutes after 6:48 AM? 2:00 PM What is 291 minutes after 3:58 AM? 8:49 AM What is 166 minutes before 4:23 PM? 1:37 PM What is 630 minutes after 5:38 AM?
{ "pile_set_name": "DM Mathematics" }
igger than 86214? False Are 862 and 1588 non-equal? True Is 41.95 not equal to -403? True Is -1796 at least -1973? True Which is greater: 507 or 82.94? 507 Are -11 and -0.12564 equal? False Which is smaller: -73410 or -73412? -73412 Which is smaller: 1030 or 2? 2 Which is smaller: -0.77 or 16/15? -0.77 Is -4287 equal to -4284? False Is -11381 at most -147968/13? False Which is bigger: -2.581 or 1? 1 Is 469 smaller than 562? True Which is greater: -3677 or -7.2? -7.2 Is 75820 not equal to 1? True Is -32180 <= -32180? True Which is smaller: -1071/25 or 0.2? -1071/25 Are 6413 and 70546/11 unequal? True Which is smaller: -897 or 17.72? -897 Is 73906 != 73899? True Which is greater: 592901/4 or 148225? 592901/4 Is 0.23 <= -2413/14? False Which is greater: 1/2527915 or 0? 1/2527915 Are 5/7 and -0.47 non-equal? True Is 0.8 at most -40/149? False Which is greater: 197754 or 2175290/11? 197754 Are 189/362 and -2 nonequal? True Is -258/223 < 6? True Is 2.63 > 36? False Is -1 at least as big as 80? False Is 3003 at least 21019/7? True Is 38981 at least 61? True Do -30452/27 and -1129 have the same value? False Which is smaller: 10/69 or 95? 10/69 Is -1 at least 13/75926? False Are -9147584 and -9147584 equal? True Which is greater: -84546/79 or -1069? -1069 Which is bigger: 2/35 or -6788? 2/35 Is 31564/87 != 362? True Is 2609186 bigger than 2609188? False Are 1614 and 1466 nonequal? True Which is smaller: 2/871081 or -1? -1 Is 0.7 less than -9.1415? False Is -21 > -21657? True Is -332187/52 != -6389? True Is -9 at most as big as -11074.6? False Is -393 less than or equal to -372? True Which is smaller: -249 or -497/2? -249 Is 0 <= 147/9991? True Which is smaller: 1 or 8/57739? 8/57739 Do 60223 and 60215 have the same value? False Which is smaller: 2 or 1872/1481? 1872/1481 Is -0.6 greater than 118122? False Which is smaller: -1 or 1/28772? -1 Is 1/88766 at least as big as -1? True Which is smaller: 1/3 or 47918? 1/3 Does -1200/61 = -21? False Is -92 < 4/153? True Are -56865 and -56865 equal? True Which is smaller: 0 or -3/322055? -3/322055 Is -1162565/13 >= -89428? False Is -2566084 less than or equal to -2566084? True Is 240/1127 greater than 1? False Which is bigger: 0 or -63/7090? 0 Which is greater: -1184/7 or 0.2655? 0.2655 Is 38 greater than -29/18? True Which is greater: -446793 or -893585/2? -893585/2 Are -2/656151 and -1 equal? False Is -563240/7 bigger than -80463? True Are 1338 and 2008 equal? False Are -12/7147 and 1 equal? False Which is greater: 46/29 or 33? 33 Is -40594 < -40593? True Is 5 at most -27.357? False Is 2/425183 greater than 0? True Which is smaller: 21234 or 148635/7? 148635/7 Is -2/1314913 less than -1? False Which is smaller: 215 or 250? 215 Does 2/9 = 32828? False Does 142303 = 142303? True Which is smaller: 7313 or 7315? 7313 Which is bigger: -1168541 or -1168540? -1168540 Which is greater: 116 or 16511/142? 16511/142 Which is greater: 2/194271 or -1? 2/194271 Which is greater: 1 or -1242/6055? 1 Is 4803 at most as big as 6/11? False Which is smaller: -39792/11 or -3616? -39792/11 Is -357 > 12697? False Which is smaller: -2/7 or 57308? -2/7 Which is smaller: 1 or 14/10035? 14/10035 Which is smaller: -3 or -40757? -40757 Is 2228 at least as big as 1945? True Which is smaller: 8 or 0.0759? 0.0759 Is 1.1326 at least as big as -2? True Does 21872 = 21872? True Is 1 bigger than 522679? False Is -24260 less than -24253? True Which is smaller: -1 or 42/4769? -1 Which is smaller: 0 or -1/5442068? -1/5442068 Which is greater: 387 or -8/201? 387 Is -3188 < 8? True Are -565 and -60602/107 nonequal? True Which is greater: 1 or -1/24564574? 1 Which is smaller: -17061 or -17019? -17061 Is 63889 bigger than 447219/7? True Which is bigger: 0 or 4/158289? 4/158289 Which is greater: 5476088 or 5476087? 5476088 Is -99153 at most as big as -297457/3? True Which is smaller: -821 or -54205/66? -54205/66 Which is bigger: -1/3 or -139201? -1/3 Which is bigger: -904561 or -904560? -904560 Is -6838509 less than -6838510? False Which is smaller: 0.2 or 111670/7? 0.2 Is -5331/14 > -381? True Which is smaller: -1 or 535.606? -1 Is -280879 greater than or equal to -280879? True Which is bigger: -25630 or -25633? -25630 Is 63825 less than or equal to 63804? False Is 4476 not equal to 1.95? True Is 14 greater than 66756? False Which is smaller: -1575 or -36244/23? -36244/23 Is 4630 smaller than -84? False Do 157.043 and -10/13 have different values? True Is -1235 at least as big as -1273? True Are 16822/17 and -3 unequal? True Is -19.4941 at least -6? False Which is smaller: -71407 or -1213926/17? -1213926/17 Which is bigger: 0.15252 or -16? 0.15252 Does 6053 = 6? False Is 127368 less than or equal to 127368? True Which is smaller: -1 or -1224/7865? -1 Does -0.1 = 2/30125? False Is 1143 less than -72/17? False Is -2/157199 > -1? True Which is smaller: 1017494 or 1017495? 1017494 Do -3 and 17.044 have different values? True Do 16/443 and 1 have the same value? False Which is bigger: -14169/47 or -302? -14169/47 Are 60/2813 and 0 equal? False Which is bigger: 19 or 829/42? 829/42 Does -3169 = -2622? False Is 50054 not equal to 450473/9? True Does 19222 = 19223? False Is -274554 greater than or equal to -1921882/7? True Which is smaller: -29992 or -0.4? -29992 Which is greater: 220/351 or 1? 1 Which is bigger: -14/120151 or 1? 1 Is 1 > 2/279451? True Which is smaller: -11063 or -11065? -11065 Which is bigger: 136/1755 or 1? 1 Which is smaller: 69383 or 17? 17 Which is bigger: 612 or 757? 757 Is 1.9 at most 2986/5? True Is 477018/11 bigger than 43365? True Is 137 != 3863/28? True Which is bigger: -59 or 12127? 12127 Is 331 at least -15389? True Is 2/7 greater than 14305? False Is -19/9352 at most as big as 1? True Does -6219 = -6079? False Is -53000 equal to -53008? False Is 30 less than -1196/5? False Which is smaller: -1 or -41/10641? -1 Which is bigger: -310368 or -310366? -310366 Which is greater: 52358 or 628279/12? 52358 Which is smaller: -147776/29 or -5095? -147776/29 Is 0 greater than or equal to -35/20649? True Which is greater: -52559/9 or -5841? -52559/9 Is -40.6388 >= 2/7? False Which is greater: -0.2 or 69270? 69270 Which is greater: 0.1 or -836476? 0.1 Is -4279 equal to -4278? False Which is smaller: 1748/2471 or 1? 1748/2471 Is 31189 != 62375/2? True Which is smaller: 1 or -49/2162? -49/2162 Which is smaller: -2/3 or -71548? -71548 Which is greater: 126219 or -1.4? 126219 Which is smaller: 0 or -14/3253? -14/3253 Is 30285 at most as big as 30283? False Is -2/3 <= 4482/35? True Is -257 at least as big as 31? False Which is bigger: 56087 or 56084? 56087 Are 92 and 17 equal? False Which is smaller: -534524 or -534525? -534525 Is -418800 smaller than -418800? False Is -16717 equal to -16711? False Is 1 at least 4/8405? True Which is bigger: 673/2394 or 1? 1 Is 3369 greater than 3368? True Is -44 smaller than -1824/41? False Which is bigger: 85/1369 or 0? 85/1369 Is 2181 smaller than 2.3? False Is -479592 less than or equal to -479593? False Which is smaller: 3886 or 3894? 3886 Is 56/3 at least as big as -110? True Is 54 >= 23823/448? True Which is greater: 311/725 or 0? 311/725 Which is bigger: 3868 or 3852? 3868 Is 10/179 greater than or equal to 1? False Is 0 less than 24/10405? True Which is bigger: 6014/25 or 240? 6014/25 Is -2/5 > 48.072? False Which is greater: 12662 or 519081/41? 12662 Is 204767 >= 204765? True Which is bigger: -62427 or -88? -88 Is 0.3 bigger than 14.113? False Which is smaller: 0 or 14/1113279? 0 Is -30932/197 <= -156? True Is 38069 not equal to 38069? False Are -31/138365 and 1 unequal? True Which is greater: -3960/49 or -81? -3960/49 Which is bigger: 817384 or 817382? 817384 Which is greater: 59774/31 or 1928? 59774/31 Is 5 at least as big as -0.017? True Which is greater: -1/3 or 289038? 289038 Which is smaller: -600 or -160? -600 Which is greater: -3669 or -3683? -3669 Are -9 and -246/25 equal? False Does -41926 = -125776/3? False Which is greater: 933 or 3419? 3419 Which is greater: 43172 or 43321? 43321 Is 6378 not equal to 6456? True Is -2 < -739? False Which is smaller: 27870 or 27821? 27821 Which is smaller: 4769 or 4768? 4768 Is 2639/1016 greater than 2? True Is -2/2001 smaller than -44? False Is -687882 g
{ "pile_set_name": "DM Mathematics" }
the biggest value? (a) -150/7 (b) -5 (c) 3 c What is the third smallest value in -17, 4, 3, -7, 1? 1 What is the fifth smallest value in -4, -0.02, 2/9, -0.2, -84? 2/9 Which is the biggest value? (a) 5 (b) 3/5 (c) 384/5 c Which is the fourth biggest value? (a) 3/4 (b) -5 (c) 0.11 (d) 0.5 (e) 0 e What is the third smallest value in 0, -0.3, -2/11, -0.2, -29? -0.2 What is the smallest value in -3, -0.03, -4, -0.3? -4 What is the fifth biggest value in 1, -3, 275, 7, -0.5? -3 Which is the smallest value? (a) -15 (b) 3 (c) -2/9 (d) -5/6 a What is the biggest value in 1, -0.2, -5, -0.5, 378? 378 What is the second biggest value in -2/19, -0.1, 2, 3/4? 3/4 What is the biggest value in 1/3, -0.4, -0.23? 1/3 What is the fifth biggest value in 0.14, 2, 1, -1/4, -0.1? -1/4 What is the biggest value in 1, 206, -0.05? 206 Which is the second biggest value? (a) 2/11 (b) -0.775 (c) -1/3 c What is the fourth smallest value in 1, 5, -480, 3? 5 Which is the fourth biggest value? (a) -0.3 (b) -3/7 (c) 7 (d) 1/3 (e) 3/14 a Which is the biggest value? (a) -4 (b) 0.04 (c) -1/4 (d) 0 (e) -8 b Which is the second smallest value? (a) 2/7 (b) -2/15 (c) 2 (d) -2/7 b What is the third biggest value in 3/5, 0, 2/2291? 0 Which is the third smallest value? (a) 2/13 (b) 1/5 (c) 5 (d) -3 b What is the third biggest value in -0.5, 2/77, -36? -36 Which is the fifth biggest value? (a) -1 (b) 0.3 (c) -3/5 (d) -2 (e) -3/2 d Which is the second smallest value? (a) 1 (b) -1 (c) 0 (d) -79/7 (e) -4 e Which is the second biggest value? (a) 5/2 (b) 153.6 (c) -1/2 (d) 4/7 a What is the second biggest value in -2/7, -2/9, -2? -2/7 What is the biggest value in 0.0242, -4, -0.02, 3? 3 What is the second biggest value in -10/11, 7/3, -0.02? -0.02 Which is the fifth biggest value? (a) 0.2 (b) -2/25 (c) -1/10 (d) -4 (e) 0.4 d What is the second biggest value in -0.5, -1.01, -2, -0.4? -0.5 What is the fourth biggest value in -29, -2.8, 1, -0.1? -29 What is the fourth biggest value in 2/15, -0.5, 11, 5? -0.5 What is the smallest value in -4, 2/5, 0, -195? -195 Which is the third smallest value? (a) -2 (b) -5 (c) 12 c What is the third smallest value in 2/5, 0.09, 0.3, -2/13? 0.3 What is the second smallest value in 2/73, 4, 17, -0.05? 2/73 What is the second smallest value in -1/2, -7, -3/4? -3/4 What is the second biggest value in 1, -0.04, 0, 35, 5? 5 What is the third smallest value in -0.05, 2/11, -22? 2/11 What is the third biggest value in -31, -1/3, 3/5, 4? -1/3 What is the biggest value in -1.06, -5/3, 3? 3 What is the fourth smallest value in 2/11, 3, -5, -0.6? 3 Which is the third biggest value? (a) 2/3 (b) -2/1611 (c) 0.1 (d) -1 b What is the second smallest value in -1, 0.5, 2/5, -0.4? -0.4 Which is the smallest value? (a) -2 (b) -29 (c) 12 b What is the fourth biggest value in 3, -0.15, -0.2, -5? -5 What is the fourth biggest value in -2, 3, 11, -0.3? -2 What is the third smallest value in 1, -5, 1/9, 0.2? 0.2 What is the biggest value in -0.3, -11, -14/5? -0.3 What is the third smallest value in 0.5, 6, 1135? 1135 Which is the biggest value? (a) 0 (b) 5 (c) 1/10 (d) -6 b Which is the fourth biggest value? (a) 2/5 (b) -1/4 (c) -0.04 (d) -3 (e) 10 b Which is the second biggest value? (a) -5 (b) -1 (c) 0 (d) 1 c What is the second biggest value in 0, -185, 0.14, 2? 0.14 What is the smallest value in 1.3, 2, 171? 1.3 What is the third smallest value in -0.2, 1, 2/27, -21? 2/27 What is the biggest value in -3.3, -0.02, -2/7, -0.4? -0.02 What is the fourth biggest value in 1/3, 2, 4/7, -4? -4 Which is the second smallest value? (a) 6 (b) -2/5 (c) 6/11 (d) -2/9 d What is the fourth biggest value in 5, -2, -5, 2/5? -5 What is the third biggest value in 26, 0.031, -1/6, -0.2? -1/6 Which is the third smallest value? (a) 8 (b) -0.3 (c) 0.5 a What is the smallest value in 0.03, 1/12, -2079? -2079 Which is the biggest value? (a) -5 (b) -3 (c) 0.0902 (d) -2 c Which is the biggest value? (a) -0.3 (b) -1/5 (c) -41 (d) 0 d What is the third biggest value in -2, 34, 2, 1? 1 What is the third smallest value in -6, 146, 3, -1/2, -0.3? -0.3 What is the fourth biggest value in 59, -5, 1/4, 0.5? -5 What is the smallest value in 11, 72, 1/4? 1/4 What is the biggest value in 0.4, -36, 5? 5 Which is the fourth smallest value? (a) -2 (b) -2/19 (c) -2/15 (d) 176 d Which is the third smallest value? (a) -0.1 (b) -3/7 (c) -5 (d) 15 a What is the second smallest value in 0, -9/2, 6, 4, -5? -9/2 Which is the second biggest value? (a) -2 (b) 0.155 (c) 0.02 c What is the third smallest value in 34, -0.3, -3? 34 What is the third smallest value in 0.06, 118, -2/19? 118 Which is the third biggest value? (a) -701 (b) 0.2 (c) -2/13 (d) 3/2 c Which is the third smallest value? (a) 4 (b) 0.16 (c) 0.1 a What is the third smallest value in 4/7, -5, -2/23, 38? 4/7 Which is the third smallest value? (a) -7/6 (b) 0.2 (c) -0.3 (d) -8 (e) -3/4 e Which is the smallest value? (a) 0.4 (b) 0.2 (c) 0.05 c What is the smallest value in 2/7, -0.3, -1/8, 1, -22? -22 Which is the fourth smallest value? (a) -122 (b) 3/4 (c) -0.4 (d) -1/4 b Which is the second biggest value? (a) 2 (b) -4 (c) 3/5 (d) 64 a Which is the second smallest value? (a) -13/3 (b) -1/11 (c) 6 b What is the third smallest value in -3, 0.3, -1/6, 2.9, -1? -1/6 What is the fourth biggest value in -0.3, -3, 0.51, 2/3? -3 What is the second biggest value in -4, -3, -5/17, 1/2? -5/17 What is the biggest value in -3, -9, -17? -3 What is the second biggest value in -0.6, 1/2, 12? 1/2 What is the third biggest value in 3/4, 0.5, 0.04, -0.02? 0.04 What is the fourth biggest value in 1, -75/2, -3, 0.3? -75/2 Which is the biggest value? (a) -0.049 (b) -70/9 (c) 1 c Which is the second biggest value? (a) -0.4 (b) -47 (c) 6 a Which is the third smallest value? (a) 2/11 (b) 7/6 (c) -88 b Which is the third smallest value? (a) 1 (b) -18 (c) -0.1 (d) -5 c What is the biggest value in -0.2, -0.7, 3, -5? 3 Which is the second smallest value? (a) 1/3 (b) 1/5 (c) -1/4 (d) -3 c What is the second biggest value in -3, 274, 4? 4 Which is the second smallest value? (a) 106 (b) 5 (c) 0.1 (d) 5/4 d What is the third smallest value in -5/2, -30, 0.4? 0.4 Which is the second smallest value? (a) -8 (b) 1/12 (c) -0.01 c Which is the third smallest value? (a) -1 (b) 0.3 (c) -5 (d) -0.7 (e) 1 d What is the biggest value in 0.2, -3, -2013? 0.2 Which is the second smallest value? (a) -3 (b) -7 (c) 5 (d) -0.5 (e) 4 a Which is the third biggest value? (a) -11 (b) -701 (c) 5 b What is the smallest value in 0, -0.4, 5, -5/6? -5/6 What is the third biggest value in -5, 1.4, -2, 1? -2 Which is the fourth smallest value? (a) 6 (b) -1 (c) -0.3 (d) -4/13 (e) 4 e What is the biggest value in 1, -4/17, 0.1, -4? 1 What is the biggest value in -1/6, 0, -3, 41, -5? 41 What is the third biggest value in 1/5, 0.02, -1/7, 4? 0.02 Which is the second smallest value? (a) 96 (b) 0 (c) 2/13 c What is the fourth smallest value in -3/4, -1, 2, 9? 9 What is the second biggest value in -2/11, 0.1, 3, 28, -4? 3 What is the biggest value in 121, -0.3, 0.6? 121 What is the fourth biggest value in 5301, 4/7, -2, -3? -3 Which is the fourth biggest value? (a) -1/9 (b) -3 (c) -5 (d) -0.5 c What is the third smallest value in 0.3, -29, -1/5, -3/8, -1/7? -1/5 What is the third smallest value in -2, 5, -0.1, 1, -26? -0.1 Which is the second biggest value? (a) 5 (b) 4 (c) -0.2 (d) -117 (e) 0.1 b What is the third smallest value in 0.16, 3/11, -0.5? 3/11 What is the third biggest value in 3/5, 0.1, -0.7, 0.2, -1? 0.1 What is the biggest value in 14, 5, 4? 14 What is the third smallest value in 4, 0, 1, 19? 4 What is the smallest value in -4, 12/13, -0.2, 1? -4 What is the smallest value in -1/4, -0.5, -3/7? -0.5 Which is the second biggest value? (a) -31/2 (b) -12 (c) 8 b What is the smallest value in 9, 17, -1/15, 3? -1/15 What is the third smallest value in 5, 2/9, 5.03, 1? 5 Which is the smallest value? (a) 0.05 (b) -0.4 (c) 0.01 (d) -1 d Which is the second smallest value? (a) 0.5 (b) 2 (c) 2.8 (d) -6 (e) -2 e Which is the second big
{ "pile_set_name": "DM Mathematics" }
2 Collect the terms in -12*w**3 - 2*w**2 + w**2 + 20*w**2 + 3*w**3 + 20*w**2 + 22*w**2. -9*w**3 + 61*w**2 Collect the terms in 56*t**3 - 86*t - 1 - 61*t**3 + 8*t**3. 3*t**3 - 86*t - 1 Collect the terms in -59856*k - 131168*k - 323772*k. -514796*k Collect the terms in t**2 - 1 - 154 + 52 - 546*t - 89. t**2 - 546*t - 192 Collect the terms in -1465*o**2 - 1235*o**2 - 4*o + 2708*o**2 + 19*o. 8*o**2 + 15*o Collect the terms in 132737537*b - 1 + 1. 132737537*b Collect the terms in -14109*d + 95*d**2 + 4685*d + 4719*d + 4705*d. 95*d**2 Collect the terms in -4772 + 4772 + 1014698*n. 1014698*n Collect the terms in 9*v - 8035 - 54*v - 8033 + 32135 - 8038 - 8030. -45*v - 1 Collect the terms in -711*n**2 + 2355*n**2 - 358691 - 2*n + 358691. 1644*n**2 - 2*n Collect the terms in 242*b**3 - 125*b**3 + 265 - 113*b**3. 4*b**3 + 265 Collect the terms in 225*n**2 - 24730586 - n**3 + 24730586. -n**3 + 225*n**2 Collect the terms in 81*p**3 + 76*p**3 - 16*p**3 + 99*p**3 - 23*p**3. 217*p**3 Collect the terms in 42*d - 494639 + 164883 + 164875 + 164881. 42*d Collect the terms in -33*d**2 + 15*d**2 + 15*d**2 - 8*d**2 + 0*d**2. -11*d**2 Collect the terms in -359305*j**2 + 44 - 359296*j**2 + 718599*j**2. -2*j**2 + 44 Collect the terms in -59*d**3 + 778*d + 772*d + 1119*d - 3439*d - 2 + 770*d. -59*d**3 - 2 Collect the terms in -167*b**2 - 5*b**2 + 9 + 1 - 23 - 20*b**2. -192*b**2 - 13 Collect the terms in -11*f + 45*f - 20*f - 182900 + 182903. 14*f + 3 Collect the terms in 157825*t**2 - 405102*t + 405102*t. 157825*t**2 Collect the terms in -1148*v**3 - 3687*v**3 - 758*v**3 - 3101*v**3 + 2408*v**3. -6286*v**3 Collect the terms in 3*n**2 + 23 - 130 - 5*n**2 + n**2 - 116 - n. -n**2 - n - 223 Collect the terms in -21354 - 6421 - 2511 + 3376 - 3*w. -3*w - 26910 Collect the terms in 80387356*r**2 - 46 + 46 - 80387346*r**2. 10*r**2 Collect the terms in 48 + 39 + 5*l**3 - 16*l**2 + 42 - 129. 5*l**3 - 16*l**2 Collect the terms in 1023*m - 1023*m - 5624*m**2 - 3373*m**2 - 1241*m**2. -10238*m**2 Collect the terms in 107529*k - 208018*k + 108567*k. 8078*k Collect the terms in -198997*v**2 + 198997*v**2 + 6 - 447*v**3 - 3. -447*v**3 + 3 Collect the terms in -153 + 18049*v + 34 + 33 + 42 + 44. 18049*v Collect the terms in -2899 - 147*g**3 + 398*g**3 - 717. 251*g**3 - 3616 Collect the terms in 299*k**3 + 265 + 273 - 103*k**3 - 538 + 277*k**3. 473*k**3 Collect the terms in 12 + 45*c**3 + 38*c**3 + 10 - 22 - 190*c**3. -107*c**3 Collect the terms in -2*c**2 - 33424*c**3 - 12*c**2 + 17*c**2. -33424*c**3 + 3*c**2 Collect the terms in 8 - 3*l**2 + 7376*l - 2*l**3 + 0 - 6. -2*l**3 - 3*l**2 + 7376*l + 2 Collect the terms in -87 - 531*i + 64 + 217*i - 1460*i + 21. -1774*i - 2 Collect the terms in 1251 - 1251 + 156327*i**2. 156327*i**2 Collect the terms in 79*w**3 + 42*w + 55*w + 31*w + 125*w**3 - 128*w. 204*w**3 Collect the terms in 11276*z**2 - 22584*z**2 + 11329*z**2. 21*z**2 Collect the terms in -14784 + 582*f + 7464 + 7320. 582*f Collect the terms in -699*f**3 - 762*f**3 + 1341*f**3. -120*f**3 Collect the terms in 39*q**2 - 11*q + 7*q**2 + 2*q**2 + 3*q + 8*q**2. 56*q**2 - 8*q Collect the terms in -18 - 802*p**2 - 9 - 4 + 31. -802*p**2 Collect the terms in -673 - 605442*n**3 - 214454*n**3 + 673. -819896*n**3 Collect the terms in 0*k**2 + 3*k**2 - 310*k**3 + 145*k**3. -165*k**3 + 3*k**2 Collect the terms in 7369*n**2 - 2454*n**2 - 2411*n**2 - 2493*n**2. 11*n**2 Collect the terms in -74 - 5*m**3 + 26132*m - 25803*m + 2*m**3 + 74. -3*m**3 + 329*m Collect the terms in -25319*y**2 + 25319*y**2 - 1050*y**3. -1050*y**3 Collect the terms in -31*k**3 - 17*k**3 - 93580*k - 3*k**3 + 46836*k + 46743*k. -51*k**3 - k Collect the terms in -44985707*u - 44985701*u + 89971391*u. -17*u Collect the terms in 7516*a - 48 - 133 + 181. 7516*a Collect the terms in -34 + 4 + 2*a**3 - 19*a + 9*a + 39*a. 2*a**3 + 29*a - 30 Collect the terms in 103 - 75 + 2*u**3 + 63*u + 17 - 45 - 63*u. 2*u**3 Collect the terms in 37487203 - 9*l**2 - 74974403 + 37487199. -9*l**2 - 1 Collect the terms in 834*l - 5039*l + 838*l + 831*l + 831*l + 871*l + 830*l. -4*l Collect the terms in 127*k**2 - 10601*k**3 - 140*k**3 - 254*k**2 + 127*k**2. -10741*k**3 Collect the terms in 2365*p**3 - 654773*p + 654773*p. 2365*p**3 Collect the terms in 7637*i - 650*i - 2290*i. 4697*i Collect the terms in 2*r - 4*r - 8*r - 10*r - 24*r - 5*r + 51*r. 2*r Collect the terms in -521*j + 449*j + 72*j + 15 - 15 + 5*j**2. 5*j**2 Collect the terms in 36*t**2 + 11*t**3 - 276*t - 6*t**3 + 284*t - 8*t**3 + 42*t**2 + t**3. -2*t**3 + 78*t**2 + 8*t Collect the terms in -112 - 30355890*k + 22*k**2 + 30355890*k. 22*k**2 - 112 Collect the terms in 4 + 28*j**2 + 21*j + 18*j**2 - 46*j**2 - 10 + 50*j - j**3. -j**3 + 71*j - 6 Collect the terms in 1098997 - 549400 - 549488 - 2*h. -2*h + 109 Collect the terms in 2339*c + 6*c**2 + 10*c**2 + 2 + 20*c**3 + 1875*c. 20*c**3 + 16*c**2 + 4214*c + 2 Collect the terms in 18*p**3 - 13 - 75*p**3 + 1468521*p - 4 - 1468520*p - 17. -57*p**3 + p - 34 Collect the terms in 397*r - 74*r - 72*r - 71*r - 76*r - 68*r - 27*r. 9*r Collect the terms in 907930403 + 12*w - 907930403. 12*w Collect the terms in 138*y + 382*y - 279*y**2 - 520*y. -279*y**2 Collect the terms in -280*k**2 + 19 - 281*k**2 - 273*k**2 + 835*k**2 - 19. k**2 Collect the terms in 39*m + 34*m - 73*m - 242334*m**2 + 242353*m**2. 19*m**2 Collect the terms in 119 + 27986*j + 6354*j + 16. 34340*j + 135 Collect the terms in -326 - 228622*r + 326. -228622*r Collect the terms in 115 - 84 - 581 - 37*f + 38*f. f - 550 Collect the terms in -693*d + 10*d**2 + 207*d + 239*d + 247*d. 10*d**2 Collect the terms in 141*v**2 + 58*v**3 + 8 - 5 - 141*v**2 + 20*v**3. 78*v**3 + 3 Collect the terms in -1501608*r**2 + 1501608*r**2 - 447*r**3 - 669*r**3. -1116*r**3 Collect the terms in 400 + 352 + 4*i + 420 - 1042. 4*i + 130 Collect the terms in 46*o**3 + 482*o - 2*o**2 - 437*o + 2*o**2 - 2*o**2 + 0*o**2. 46*o**3 - 2*o**2 + 45*o Collect the terms in -371597*u**3 + 79927*u**3 - 55213*u**3. -346883*u**3 Collect the terms in 29395*u**2 + 104*u + 112*u - 216*u. 29395*u**2 Collect the terms in -559*x - 621*x - 541*x - 523*x + 2336*x. 92*x Collect the terms in -13*l**3 - 4*l**3 + 71 - 30*l**3 - 162 + 91. -47*l**3 Collect the terms in 32 - 31 + 3 - 35*w + 101*w - 34*w - 33*w - 1. -w + 3 Collect the terms in 150*f**2 + 436*f**2 + 729 + 722 - 1451. 586*f**2 Collect the terms in -8648638 + 4324317 + 4324321 - 5*l**2. -5*l**2 Collect the terms in -3 - 67101*t + 71369*t + 3 - 2136*t - 2131*t. t Collect the terms in -150*s**2 + 1 + 342*s**2 - 157*s**2 - 1. 35*s**2 Collect the terms in 25457526*y - 1 - 25457518*y + 1. 8*y Collect the terms in 176*a**2 + 1481*a - 2955*a - 210*a**2 + 1474*a. -34*a**2 Collect the terms in -649 - 135*c**3 - 25*c**3 - 1177 - 113*c**3. -273*c**3 - 1826 Collect the terms in 13*f**2 - 1041*f**3 + 460*f**3 - 1373*f**3 - 13*f**2. -1954*f**3 Collect the terms in -19 + 351 + 8*p**3 + 3*p - 332 + 3*p. 8*p**3 + 6*p Collect the terms in -5*k + 18*k**2 - 63*k**2 - 10 + 47*k**2 + 5*k. 2*k**2 - 10 Collect the terms in 7273779*s**2 + 7*s**3 + 7274038*s**2 - 14547817*s**2. 7*s**3 Collect the terms in 3990*u**3 + 728 - 650 - 3988*u**3. 2*u**3 + 78 Collect the terms in 223030*i**3 - 9*i**2 + 9*i**2 - 707401*i**3. -484371*i**3 Collect the terms in -316 + 1495 - 307 - 9*k**2 - 251 - 308 - 313. -9*k**2 Collect the terms in 28*r**3 - 26*r**3 + 19*r**3 + 6*r**3 + 72*r**3. 99*r**3 Collect the terms in 12*k**2 - 37*k**2 + 14*k**2 + 1018*k**3 + 11*k**2 + 601*k**3 - 1611*k**3. 8*k**3 Collect the terms in -2*c + 10417 - 10417 + 5*c**3 - 5*c + 2*c. 5*c**3 - 5*c Collect the terms in 1 + 37*t**2 - 21*t**2 - 3 - 7*t**2. 9*t**2 - 2 Collect the terms in 100666*i**2 - 50319*i**2 - 50344*i**2 + 224102*i - 224102*i. 3*i**2 Collect the terms in 230*r**3 - 444*r**3 - 741*r**3 + 100*r - 100*r. -955*r**3 Collect the terms in 30*y**3 + 67*y**3 - 297*y**3 - 1 - 2 + 81*y**3 + 75*y**3. -44*y**3 - 3 Collect the terms in 20 + 25 - 71 + 26 - 22838*c**2 + 45669*c**2 - 22829*c**2. 2*c**2 Collect the terms in -457620*w**2 + 227848*w**2 + 228952*w**2. -820*w**2 Collect the terms in -144*u + 111 + 109 - 326 + 50*u + 106. -94*u Collect the terms in 8*k - 15*k - 27162*k**3 + 12*k - 13210*k**3. -40372*k**3 + 5*k Collect the terms in 2327*u -
{ "pile_set_name": "DM Mathematics" }
+ n**2 - 1. Let g(i) = 9*i**3 - 4*i**2 + 2. Let d be (-2)/((-8)/(-4))*1. What is d*g(j) - 2*w(j)? -11*j**3 + 2*j**2 Let n = -39 + 54. Suppose -n*d = -17*d - 8. Let v(i) = 2*i**3 + 4*i**2 - 3. Let g(u) = 2*u**3 + 4*u**2 - 4. What is d*v(o) + 3*g(o)? -2*o**3 - 4*o**2 Let s(m) = -4*m + 147. Let r(h) = -25. What is -30*r(l) - 5*s(l)? 20*l + 15 Let z(k) = 15*k**2 + 5*k + 5. Let n(a) = -3*a + 7. Let d(q) = -7*q**2 - 14*q + 26. Let u(i) = d(i) - 4*n(i). What is 5*u(h) + 2*z(h)? -5*h**2 Let j(g) = -8*g**2 + 9*g - 9. Let v(l) = -l**3 + 23*l**2 - 25*l + 26. Let c(y) = 11*j(y) + 4*v(y). Let i(o) = -4*o**3 + 3*o**2 + 4. Determine -3*c(q) + 4*i(q). -4*q**3 + 3*q + 1 Let z(b) = -25*b**2 - 30. Let m(p) = -p**2 - 1. Suppose -4*f - h - 25 = 0, 90*f + 3*h = 95*f + 10. Determine f*z(k) + 150*m(k). -25*k**2 Let q(a) = -a + 5. Let g be 1/(1/(-8)) + 15. Let t(f) = g + 1 - 2. Calculate 4*q(c) - 3*t(c). -4*c + 2 Let c(m) be the third derivative of -3*m**4/8 + m**3/6 + 110*m**2. Let a(o) = o + 1. What is 2*a(w) - 2*c(w)? 20*w Let s(y) = -y**2 + y. Let q(o) = 31 - 149 - 4*o**2 + 35 + 40 + 39 + 3*o. Suppose 13*i - 6 = 15*i. What is i*s(f) + q(f)? -f**2 - 4 Let i(w) = w. Let p(y) be the first derivative of -5*y**2 - 5089. Calculate 5*i(t) + p(t). -5*t Let u(m) = -m**2 + 4*m + 2. Let b(c) = 8*c + 95. Let i be b(-9). Suppose 8*d = -17 - i. Let z(f) = f**2 - 4*f - 2. Calculate d*z(a) - 6*u(a). a**2 - 4*a - 2 Let b(w) = -73*w**3 + 38*w**2 - 779*w + 1. Let v(t) = -19*t**3 + 10*t**2 - 195*t. Determine 5*b(u) - 19*v(u). -4*u**3 - 190*u + 5 Let b(t) be the third derivative of -3*t**4/8 + 5*t**3/6 + 1737*t**2. Let z(p) = -2*p + 1. What is 6*b(r) - 26*z(r)? -2*r + 4 Let c = -7 - -18. Let x(s) = 9 - 3 - 7 - 3. Let a(i) be the third derivative of -i**4/24 + 7*i**3/2 - 15*i**2. What is c*x(y) + 2*a(y)? -2*y - 2 Let u(l) = 2*l**3 - 2*l - 1. Let w(y) = y**3 - y - 1. Let i = -9 + 198. Let c be i/63 + (6 - 0) + 0. Suppose c*g = 8*g - 2. Give g*w(x) + 2*u(x). 2*x**3 - 2*x Let z = 3 - 2. Let u(i) = -i**2. Let o(h) = 4*h**2 + 359645 + 0*h - 179823 - 179820 + 0*h. What is z*o(m) + 2*u(m)? 2*m**2 + 2 Let d(x) = -292*x - 1. Let h(v) = -291*v + 1. Determine 3*d(u) - 2*h(u). -294*u - 5 Let t(d) = 15188*d - 15197*d - 466*d**2 + 2 + 462*d**2. Let p(m) be the second derivative of -m**4/2 - 13*m**3/6 + 3*m**2/2 + m. What is -5*p(c) + 7*t(c)? 2*c**2 + 2*c - 1 Let v(c) = c**2 - 26*c - 5. Let b(h) be the third derivative of h**4/24 + h**3/6 - 687*h**2 + 10. What is -3*b(r) - v(r)? -r**2 + 23*r + 2 Let f(b) = 8535*b**2 - 44*b + 5. Let a(v) = 1708*v**2 - 9*v + 1. What is -29*a(q) + 6*f(q)? 1678*q**2 - 3*q + 1 Let w(x) = -4*x**2 + 6*x**2 - 160 + 159. Let k(v) be the third derivative of v**4/24 + 71*v**2. Suppose 1 = 4*a + 5. What is a*w(b) - 2*k(b)? -2*b**2 - 2*b + 1 Let y(r) = -2*r**2 + r - 1. Let l(g) = -49*g**2 - 7*g - 3. Give l(f) + 5*y(f). -59*f**2 - 2*f - 8 Let j(g) = -3*g**3 - g + 11. Let k(w) = -54*w**3 + 24*w**2 - 20. What is 2*j(b) + k(b)? -60*b**3 + 24*b**2 - 2*b + 2 Let i(z) = -35*z - 1. Let d(r) = -182*r + 1083. What is -d(g) + 5*i(g)? 7*g - 1088 Let g(i) = -i + 7. Suppose 0 = -29*r - 27*r - 56. Let u(n) = n + 1. Calculate r*g(w) + 4*u(w). 5*w - 3 Let d = 15 + -18. Let c(u) = u - 2. Let k(z) = -6 + z - 16 + 2*z - 10 + 26. What is d*k(q) + 8*c(q)? -q + 2 Let c(i) = -9*i - 8. Let w(j) = 9*j + 9. Let z be (-60)/6*((-21)/6)/7. Calculate z*w(m) + 6*c(m). -9*m - 3 Let w(t) = 3*t + 468. Let j(b) = 4*b + 466. What is 2*j(v) - 3*w(v)? -v - 472 Let k(h) = 3*h**3 - 2*h - 1. Let o(j) = 36*j**3 - 298*j - 10. Give 10*k(v) - o(v). -6*v**3 + 278*v Let l(g) = -3*g - 2*g**2 + 4 - 3*g + 1 - 2. Let f(r) be the second derivative of r**4/12 + r**3/3 - r**2/2 + 756*r. Determine -8*f(o) - 3*l(o). -2*o**2 + 2*o - 1 Let l(f) = -1943*f**3 + 5*f**2 + 10*f - 5. Let i(b) = 7770*b**3 - 21*b**2 - 42*b + 21. Determine -5*i(k) - 21*l(k). 1953*k**3 Let j(k) = 26*k - 236. Let l(m) = -6*m + 56. What is -2*j(a) - 9*l(a)? 2*a - 32 Let i(m) = -6*m**2 + 3*m + 1. Let c(n) be the first derivative of 11*n**3/3 - 7*n**2/2 - 3*n - 9166. Calculate 3*c(w) + 7*i(w). -9*w**2 - 2 Let z(x) = 1. Suppose 12*u - 57 = -0*u + 3. Let v(m) = 5*m**3 + 5. Give u*z(h) - v(h). -5*h**3 Let i be (32/24)/((4/(-42))/(17/(-34))). Let u(n) = -6*n**2 + 7*n - 5. Let o(k) = -5*k - k**2 + k**2 + 4*k**2 + 3. Calculate i*o(h) + 5*u(h). -2*h**2 - 4 Let g(y) = 5*y**3 + 8*y**2 - 10*y - 1012. Let z(w) = -8*w**3 - 14*w**2 + 18*w + 2023. Determine 9*g(o) + 5*z(o). 5*o**3 + 2*o**2 + 1007 Let x be 0*2/(-6) - -12. Suppose x*k = -2*k + 14. Let c(w) be the second derivative of -w**3/6 + w**2/2 - 3*w. Let t(p) = -7*p + 4. What is k*t(m) - 2*c(m)? -5*m + 2 Let t(z) = 2*z + 1. Let n(p) = 1. Let v = 507 + -506. What is v*t(j) - 2*n(j)? 2*j - 1 Let w(g) be the second derivative of g**3/6 - g**2/2 - 3166*g. Let f(m) = 14*m - 6. What is -5*f(h) + 30*w(h)? -40*h Let f(t) = -3*t**2 + t - 3. Let k(a) = 7*a**2 - 2*a + 7. Let w be (-4)/12 + 7/3 - -3. Suppose -w*z + 21 = -h, 0 = -0*z + z - h - 5. What is z*k(y) + 9*f(y)? y**2 + y + 1 Let n be 6/(-24)*(9 + -21). Let z(o) = 7*o**3 - 4. Let t(b) = 7*b**3 - 3. Calculate n*z(y) - 4*t(y). -7*y**3 Let k(w) = 28*w**3 - 23*w**2 - 212. Let q(o) = -37*o**3 + 30*o**2 + 285. Calculate 13*k(b) + 10*q(b). -6*b**3 + b**2 + 94 Let g(x) = 4*x - 4. Let w = 74 + -63. Let m(z) = z**3 - 11*z**2 - z + 2. Let v be m(w). Let u be v/6*30/(-9)*-1. Let j(p) = 7*p - 7. Calculate u*g(h) + 3*j(h). h - 1 Let d(s) be the third derivative of s**5/60 - 95*s**2 + 5*s. Let z(k) be the first derivative of 4*k**3/3 + 4*k + 62. What is 3*d(m) - z(m)? -m**2 - 4 Let b(j) = 9*j**2 + 7*j - 136. Let a(s) = 11*s**2 + 9*s - 137. What is 4*a(l) - 5*b(l)? -l**2 + l + 132 Let r(b) = 131*b**3 + 11*b + 2. Let d(a) = 132*a**3 + 12*a + 3. Give 4*d(c) - 5*r(c). -127*c**3 - 7*c + 2 Let s(v) be the first derivative of -v**2/2 + v + 1067. Let l(x) = -x + 4. Calculate -l(y) + 4*s(y). -3*y Let x(d) = 6773*d - 1042. Let s(g) = 5*g - 1. What is 1042*s(a) - x(a)? -1563*a Let z(j) = -j - 1 + j + 5*j - 6*j. Let w(b) = -1. Let d(q) = -w(q) + z(q). Suppose 0 = -14*f - 13*f + 135. Let u(n) = 3*n. What is f*u(a) + 18*d(a)? -3*a Let r(j) be the third derivative of j**6/40 - j**5/12 - j**3/6 - 13*j**2 - 30. Let v(x) = -7*x**3 + 9*x**2 + 1. Give -5*r(m) - 3*v(m). 6*m**3 - 2*m**2 + 2 Suppose 0 = 3*l - 3*y - 6, -10 = l - 6*l - 3*y. Let v(p) = p - 1. Let b(t) = 12869*t - 25729*t + 0 + 12872*t - 14. Determine l*b(j) - 22*v(j). 2*j - 6 Let o(v) = -2*v**3 - 4*v**2 - v - 1. Let d(x) = -3*x**3 + 12*x**2 - x + 2. Let t(g) = d(g) + 2*o(g). Let q(r) = 6*r**3 - 3*r**2 + 4*r. What is 4*q(k) + 3*t(k)? 3*k**3 + 7*k Let m(f) = 28*f**3 - 1217*f**2 + 44. Let x(o) = -21*o**3 + 912*o**2 - 32. Give -8*m(i) - 11*x(i). 7*i**3 - 296*i**2 Let y(v) = 2*v**3 - 3*v**3 - 3 + v - 4*v. Let p be 15/(675/60 - 12). Let w(t) = 8*t**3 + 20*t + 20. Calculate p*y(a) - 3*w(a). -4*a**3 Let g(t) = -29*t**2 + 10*t - 70. Let l(r) = -33*r**2 + 12*r - 71. What is 6*g(f) - 5*l(f)? -9*f**2 - 65 Let q(w) = -w + 3. Let r be q(1). Let f(t) be the first derivative of -t**2/2 + t + 527. Let p(o) = o - 1. Give r*p(x) + f(x). x - 1 Let d(l) = -l**3 + 49*l**2 - 10*l + 484. Let q be d(49). Let v(o) = -26*o + 5. Let t(f) = 25*f - 4. Give q*t(j) - 5*v(j). -20*j - 1 Let g(u) = 35*u**2 - 423*u + 4. Let r(l) = -123*l**2 + 1268*l - 11. Determine -7*g(b) - 2*r(b). b**2 + 425*b - 6 Let o(a) = 27*a - 28. Let z(y) = 40*y - 29. Calculate -3*o(h) + 2*z(h). -h + 26 Let o(k) = 1140 + 3*k - 5057*k**2 + 5051*k**2 - 1145. Let q be 1/1 + (0 - 0). Let t(x) = -x**2 + x - 1. Give q*o(y) - 3*t(y). -3*y**2 - 2 Let v(p) = p**2 - 1. Let f(s) = -1 + 20*s + 3*s**2 - 3 + 0 + 4*s + 2*s**3 - 20*s. Calculate -f(r) + 3*v(r). -2*r**3 - 4*r + 1 Let x(o) = 155*o + 169. Let g(z) = 724*z + 844. Give -6*g(j) + 28*x(j). -4*j - 332 Let j = -86 - -91. Let g(u) = -2*u - 8. Let h(c) = c + 3. Let o(i) = g(i) + 3*h(i). Let k(f) = -4*f - 4. What is j*o(v) + k(v)? v + 1 Let n(d) = 268*d**2 + 292*d**2 + 51*d**3 - 6*d**3 - 520*d**2. Let m(f) = -f**3 - f**2. What is -120*m(r) - 3*n(r)? -15*r**3 Let s(d) = 46*d**2 - 32*d - 40. Let c(v) = -19*v**2 + 17*v + 20. Calculate -7*c(k) - 3*s(k). -5*k**2 - 23*k - 20 Let o(k) = 1000*k - 33. Let c(a) = -501*a + 20. Calculate 10*c(h) + 6*o(h). 990*h + 2 Let n(z) = z**2 + 2
{ "pile_set_name": "DM Mathematics" }
**3. What is the derivative of q(l) wrt l? 95 Let l be (((-2)/4)/(-1))/((-12)/(-1056)). Suppose -6*m + 110 = l. What is the second derivative of 449 - z**3 - m*z - 449 wrt z? -6*z What is the third derivative of -143*g**4 + 77*g**2 + 19*g**2 + 147*g**4 + 119*g**6 wrt g? 14280*g**3 + 96*g Let q(m) be the second derivative of 2177*m**5/10 - 139*m**3/6 + 2*m**2 - 4792*m. Find the second derivative of q(t) wrt t. 26124*t Let i = 452 + -268. What is the third derivative of -3*k**3 - 49 - 104*k**3 + 30*k**2 - i*k**2 + 49 wrt k? -642 Let h(n) = -n**3 + 16*n**2 + 16*n + 20. Let w be h(17). Suppose i = -w*y - 0*i + 12, 19 = 5*y + 2*i. Find the second derivative of 8*b**y + b - 5*b - 3*b wrt b. 160*b**3 Let v(t) = -515*t**3 - 28*t**2 - 2311*t + 7. Let z(j) = 514*j**3 + 24*j**2 + 2311*j - 6. Let o(n) = -6*v(n) - 7*z(n). Find the second derivative of o(u) wrt u. -3048*u Let u(o) be the second derivative of -7*o**5/10 - 245*o**4/12 - o + 107. What is the third derivative of u(v) wrt v? -84 Differentiate -1168 - 438*q**4 - 198*q**4 - 529 with respect to q. -2544*q**3 What is the first derivative of 6000*q - 205 - 6000*q - 173*q**3 - 299 - 306 wrt q? -519*q**2 Find the third derivative of -26*v**4 + 2*v - 99*v**4 + 2 - 97*v**2 + 157*v**3 + 122*v**4 wrt v. -72*v + 942 Let o = -392 + 396. What is the second derivative of -41*c**o - 23*c + 62*c + 68*c wrt c? -492*c**2 Find the first derivative of 873*t - 496*t**2 - 873*t - 1130 - 473*t**2 wrt t. -1938*t Suppose 4*n + 2 = -3*z, 2*n + 6 = -n. Suppose z*h = 44 - 40. Find the third derivative of 4*q**3 - 3*q**h - 46*q + 46*q wrt q. 24 Let a be 0/(5 - 4) - -28. Suppose -29*y + a*y + 48 = 0. What is the second derivative of -9*n + 2*n - 21*n**5 - 48*n**5 + y*n**5 wrt n? -420*n**3 Let n(s) = -s + 17. Let z(y) = 3*y + 27. Let c be z(-15). Let u be n(c). Find the first derivative of -u*q**2 + 14*q**3 + 35*q**2 + 7 wrt q. 42*q**2 Suppose -2*b + 4*f + 91 = b, 0 = 3*b - 3*f - 93. Suppose -10*k + 13*k = b. Find the third derivative of 3*q**3 + 20*q**3 - k*q**3 - 5*q**2 wrt q. 72 Let s(c) = -c**2 + 145*c - 161*c + 4*c**2 - 2*c**2 + 2. Let l be s(16). What is the third derivative of -16*m**4 - 9*m**l + 20*m**4 - 14*m**2 wrt m? 96*m Suppose -484*f - 252 = -472*f. Let z(h) = -123*h**3 + 17*h. Let d(o) = -41*o**3 + 6*o. Let s(a) = f*d(a) + 6*z(a). What is the second derivative of s(b) wrt b? 738*b Suppose -x + 40 = -5*x. Let d be -2 + ((-9)/6 - 65/x). What is the third derivative of 5*k**d - 9*k**3 + 14*k**2 + 2*k**3 wrt k? -12 Let u(j) = -j**3 - j**2. Let h = 87 - 84. Let w(t) = 44*t**2 - 74*t**3 - 13*t**2 + 47*t**h. Let c(d) = u(d) - w(d). What is the third derivative of c(q) wrt q? 156 Suppose -5*q + 6*q - 4 = 0, 4*q - 19 = o. Let n be (o/1)/(6*(-3)/24). What is the third derivative of 2*i**2 + n*i**2 - 3*i**2 + 18*i**4 wrt i? 432*i Let o = -30 - -34. Suppose 0*a = i - o*a, 3*a = 5*i - 51. Differentiate -33 - i*b**4 + 23*b**4 + 17*b**4 + 8*b**4 wrt b. 144*b**3 Let i be (-27)/(-3) - ((-4)/(-1) + 1). Find the first derivative of -c**4 + 81 - 22*c**2 + 15*c**2 + 7*c**2 + 2*c**i wrt c. 4*c**3 Let n(c) be the third derivative of 16/105*c**7 + 0*c + 5/6*c**3 - 51*c**2 + 1/30*c**5 + 0*c**4 + 0*c**6 + 0. What is the third derivative of n(o) wrt o? 768*o Let b(w) be the first derivative of -20*w**3 + 6/5*w**5 + 81 + 0*w + 0*w**2 - 3/4*w**4. Find the third derivative of b(m) wrt m. 144*m - 18 Find the third derivative of 17 + 5892*o**3 + 360*o**4 - 5892*o**3 + 6*o**2 wrt o. 8640*o Let y(x) be the first derivative of 7*x**6/30 - x**3/3 + 34*x**2 - 31*x + 39. Let v(p) be the first derivative of y(p). What is the derivative of v(j) wrt j? 28*j**3 - 2 Let o(u) = 1151*u**2 - 66. Let l(f) = 1151*f**2 + f - 50. Let z(s) = -5*l(s) + 4*o(s). Find the second derivative of z(c) wrt c. -2302 Let o = -14 + 13. Let m(r) = -9*r - 7. Let j be m(o). Find the first derivative of 13*v**3 - j*v**4 + 6 + 9 - 13*v**3 wrt v. -8*v**3 Let h(c) be the second derivative of c**7/840 - 5*c**5/12 + 13*c**4/8 + 71*c**3/6 - 90*c. Let y(f) be the second derivative of h(f). Differentiate y(o) wrt o. 3*o**2 - 50 Let d = -151 - -153. What is the first derivative of 10*w**d + w**3 - 9*w**2 - 53 + 19*w**2 wrt w? 3*w**2 + 40*w What is the first derivative of -189*x**2 - 18206*x**3 + 9*x**2 - 935 + 18208*x**3 wrt x? 6*x**2 - 360*x Let w = 278 + -276. Let g(u) = -171*u**2 - 2*u + 181. Let a(h) = 169*h**2 + 3*h - 179. Let z(s) = w*a(s) + 3*g(s). What is the derivative of z(j) wrt j? -350*j Suppose -2*g + s = -117 - 203, 5*s = -2*g + 320. What is the second derivative of 56*x**2 + 14145 - 14145 - g*x wrt x? 112 Let z(d) = 21*d - 162. Let n be z(8). Let f = 109 - -145. Find the third derivative of 26*l**n + f*l**2 - 260*l**2 + 4*l**6 wrt l. 3600*l**3 Let q(b) = -b**2 + 17*b - 30. Let y be q(15). Suppose -2*h + 6 = -y*h. Find the third derivative of -156*t**h + 156*t**3 + 14*t**2 - 8*t**5 wrt t. -480*t**2 Let s(g) be the second derivative of -937*g**3 + 909*g**2/2 - 5763*g. Find the first derivative of s(v) wrt v. -5622 Suppose -3*w + 324 - 315 = 0. Let v(b) = -b. Let y(p) = 3*p - 1 + p - 6. Let l(h) = w*v(h) - y(h). Differentiate l(o) wrt o. -7 Suppose 30*d - 63*d + 3135 = 0. Find the first derivative of 95*p**2 + 4*p**3 + 74 + 0*p - d*p**2 - 20*p**4 + 0*p wrt p. -80*p**3 + 12*p**2 Find the third derivative of 381*r**4 - 1 + 109*r**4 + 509*r**4 + 48*r + 0 - 531*r**6 + 528*r**6 + 12*r**2 wrt r. -360*r**3 + 23976*r Let f(k) be the third derivative of -215*k**8/48 + 1481*k**5/60 - 1760*k**2. What is the third derivative of f(p) wrt p? -90300*p**2 Let f(g) = g**2 + 30*g + 193. Let b be f(-9). What is the derivative of z**2 + 27*z**4 - 83 + 41*z**b + 190 wrt z? 272*z**3 + 2*z Let r = -28 - -31. Let q be 11/(4/(r - -1)). Find the third derivative of 46*l**4 - 28*l**2 - q*l**4 - l**4 wrt l. 816*l Let r(z) be the third derivative of -187*z**6/24 + 51*z**5/20 - z**3/3 - 7*z**2 + 127*z. What is the third derivative of r(f) wrt f? -5610 Let z(t) = t**2 - t. Let d(j) = 80*j**2 + 29*j. Let r = 233 + -232. Let p(q) = r*d(q) + z(q). What is the second derivative of p(y) wrt y? 162 Let x(c) = -9*c**3 - 1511*c**2 + 3585*c + 8. Let n(g) = 7*g**3 + 1478*g**2 - 3585*g - 7. Let h(m) = -6*n(m) - 5*x(m). Find the second derivative of h(r) wrt r. 18*r - 2626 Let y(h) = 161*h**4 - h**3 - 370*h**2 + h - 1. Let s(v) = -v**4 - 2*v**2 - 1. Let i(g) = s(g) - y(g). What is the third derivative of i(r) wrt r? -3888*r + 6 Let g(m) = -8*m - 14. Let c be g(-4). Let x be c/9 - 2*1. What is the second derivative of 15*p**5 + 2*p - p + x*p**5 - 4*p wrt p? 300*p**3 Let w(z) be the third derivative of -43/120*z**6 + 0*z + 0*z**3 + 0 - 1/60*z**5 + 107/24*z**4 + 21*z**2. What is the second derivative of w(s) wrt s? -258*s - 2 Let r = 44 - 37. Let w be (3 - (-2 - r/(-2)))*2. What is the second derivative of 0*x + 4*x - 9*x - 14*x - 15*x**w wrt x? -90*x Let k = -6 + 10. Suppose 4*n + k*m + 4 = 0, 3*m = 3*n - 0*m - 15. What is the third derivative of -45 + n*y**4 + 19 + 26 - 17*y**2 wrt y? 48*y Let u(n) be the third derivative of 729*n**6/40 - 2447*n**5/60 + 2*n**2 - 2037. Find the third derivative of u(s) wrt s. 13122 Let d(m) = 8*m + 297. Let z be d(-36). Differentiate z*k - 1886*k**3 - 9*k + 117 + 2*k**2 + 1892*k**3 wrt k. 18*k**2 + 4*k Let k be (-1)/(-2) - 3/(-18)*-3. Suppose 4*p - l = -k*l + 3579, 4471 = 5*p - 4*l. What is the derivative of p*m + 12*m**2 + 13 - 895*m wrt m? 24*m Let z(c) = -c**2 + 37*c + 159. Let l be z(39). What is the third derivative of -7*d**4 - 2*d + l*d**4 - d - 4*d**2 - 3*d**2 + 25*d**4 wrt d? 2376*d Let t be 1 - (4/(-30) - 96/30). Let d(z) be the first derivative of -z + 35/2*z**2 + 48 + t*z**3. What is the second derivative of d(a) wrt a? 26 Differentiate -283*a**4 - 3*a**3 + a**2 - 1084 + 9*a**3 - 6*a**3 - 320*a**4 wrt a. -2412*a**3 + 2*a Let w = 283 - 183. Suppose 54*t = 50*t + w. Find the second derivative of 561*z - 271*z - t*z**2 - 279*z wrt z. -50 Let y(m) = 508*m**3 + 21*m**2 - 7*m + 451. Let a(b) = b**3 - 3*b**2 + b - 10. Let g(u) = -7*a(u) - y(u). Find the first derivative of g(c) wrt c. -1545*c**2 Let o(y) be the second derivative of 0*y**4 + 13*y + 0*y**2 - 1/2*y**5 + 1/42*y**7 + 4 + 26*y**3 + 0*y**6. Find the second derivative of o(g) wrt g. 20*g**3 - 60*g Let o(t) be the fir
{ "pile_set_name": "DM Mathematics" }
.8 - 9. Suppose 0 = -t - 3*r - 14, -499*t + 27 = -492*t - 4*r. Let d = -0.2 - -0.1. Which is the nearest to t? (a) d (b) x (c) 5 a Let n = 362 + -362.1. What is the closest to n in -38, -4, -3, 3? -3 Let p = 80 + -80.3. Let d(x) = -x**3 + 13*x**2 - 39*x + 35. Let c be d(9). What is the closest to 2/7 in c, 2, p? p Let l be (-2244)/2448 - 1/(-1). Which is the closest to -2.2? (a) 9 (b) 1/4 (c) l c Let o = 22/469 - -828/2345. Which is the closest to -176? (a) 0.3 (b) o (c) -1.7 c Let d = -166272/65 + 2558. What is the closest to d in 1/3, 9/4, -0.5? 1/3 Let g = -0.1 - 0. Let n be (-216)/408 - (0 - 1). Let s = n + -38/153. Which is the closest to g? (a) -0.08 (b) s (c) 0 a Let h = -7959/20 - -385. Let i = -66/5 - h. Which is the nearest to -1/4? (a) 2/5 (b) i (c) 1 b Suppose -4*l + 4*k + 52 = 0, 0 = 2*l - 0*l - 4*k - 26. Let z = -1334 - -1334. Let o = 170 + -1868/11. What is the nearest to o in l, 0.2, z? 0.2 Let y = 36116/1869 + 6/623. Let m = -6543 + 58715/9. Let q = y + m. Which is the closest to -1? (a) q (b) 1/3 (c) -3 a Let m be 3 + (-10)/(-4)*-2. Suppose -5*p - 14 = -2*s - 63, 0 = 4*s - 4*p + 80. Let d = 154/9 + s. What is the nearest to m in d, 0.1, 0.4? 0.1 Let p = -94 - -133. Let r be (-23)/65 + ((-6)/p)/(-1). Which is the nearest to r? (a) 2 (b) 1/8 (c) 1/2 b Let q = 22 - 15. Let r = -0.08 + -0.02. Let y = 28350 + -28350. What is the nearest to q in r, -1, y? y Let g = 93.62 + -93.62. What is the closest to g in 0.4, -2/7, 13, 1/3? -2/7 Suppose -11*f + 7*f = 4*n - 48, 5*f - 4*n + 3 = 0. Let h be 0 - (2/(-4))/1. Let r = -11.69 - 0.31. Which is the nearest to -1? (a) r (b) f (c) h c Let q = 155.67 + -1.97. Let l = -154 + q. Which is the nearest to 0.1? (a) 1 (b) l (c) -0.2 c Let l be 8 - ((-12)/(-14))/((-381)/(-3556)). What is the closest to -0.3 in 3/5, 3, l, -2? l Let m be 34/(-280) + (-4)/40. Let s = -7/20 + m. Which is the closest to 1/4? (a) 2 (b) s (c) -3 b Suppose 5*f + 2*m - 26 = -90, 3*f + 3*m = -51. Let z = -189/11 - -17. Which is the nearest to f? (a) z (b) 2/11 (c) -5 c Let s be -1*(20 - (-663)/(-34)). Which is the closest to s? (a) 3 (b) -1/4 (c) -2/3 (d) 3/2 c Let a = -53.0143 - -0.1143. Let r = 410 - 463. Let b = a - r. What is the closest to 0 in 0, b, 3/2? 0 Let l = 657 - 717.4. Let o = 60 + l. Let c = 1010/9 + -112. What is the nearest to -0.05 in c, 1/5, o? 1/5 Let g = -0.03281 - 1.96719. Which is the closest to g? (a) -0.05 (b) -10 (c) 0.3 a Let p = -3018 - -3017. Which is the nearest to 9? (a) p (b) -4 (c) 4 (d) 0.2 c Suppose -j - 2*j = -0*j. Suppose j = 2*o - 34*m + 39*m - 8, 2*m = o - 4. What is the closest to -1 in 0.4, o, -3? 0.4 Let t be (2/168*14)/1. Let i be (-2)/(-5) - 9/10. What is the closest to -1 in -2/5, t, i? i Let j = 4739/27336 - -5/1608. Which is the nearest to j? (a) 42 (b) -2 (c) 3 b Suppose 0 = -36*z + 33*z + 48. Suppose 4*v + z - 8 = 0. Let n be (-2)/(-14) + (-195)/728. What is the closest to v in n, 0.4, 2? n Suppose 40 = -22*r + 3 + 103. Which is the closest to -7? (a) r (b) 0.05 (c) -3/5 (d) -2 d Let c = -31.13 + 35.13. Let k be (-14)/(-77) + (-30)/44. What is the closest to k in 2, -32, c? 2 Let m = -23 + 33. Let w = -15 + m. Let n(p) = 2*p**2 + 10*p - 13. Let i be n(-6). Which is the nearest to i? (a) 0.5 (b) 0.3 (c) w b Let h = 0.8 + 0.2. Let o = 4983 - 4982.8. Which is the nearest to 0.1? (a) -2/15 (b) h (c) o (d) -4 c Let k = 464.098 + -464. Let u = 1.902 + k. Which is the nearest to u? (a) 4 (b) 2/23 (c) -1 (d) 6 b Let s = 7 - 4. Let y be ((-27)/(-72))/((-9)/6). What is the closest to y in -0.06, 0.5, s, 4? -0.06 Let g(q) = -3*q + 2. Suppose 8 = -16*w + 24*w. Let d be g(w). Which is the closest to -0.1? (a) d (b) -5 (c) 2/35 c Suppose 0 = -3*s + 2*x - 11, -8*x + 10*x - 13 = s. Let f be 4/6*-1 + 1. Let m = 14.9 + -15. What is the closest to f in -0.4, s, m? m Let a = -1250 - -11248/9. Let k = -8 + 17. Let z = k - 9.1. What is the closest to z in a, -2/11, -5? -2/11 Let j = -673/924 + 19/308. Let g = -0.01 + 0.11. Which is the nearest to 0? (a) -4 (b) j (c) g c Let h = -20 - -19.7. Let n be (-4)/(-4 + 8) + -1. Let m be (n/12)/((-1 - 4)/(-10)). Which is the nearest to m? (a) 0.3 (b) h (c) 7 b Let u be (6/4)/((-3)/(-8)). Suppose u = -a - a. Let x = 878961/2 + -439482. What is the closest to a in x, 2, 4? x Let o = -115.52 - -115.302. Which is the closest to -1? (a) 0.2 (b) 13 (c) o c Suppose 3*y + 3*j - 63 = 0, -8*y + 3*y - 4*j + 102 = 0. Which is the closest to -1? (a) y (b) -1/8 (c) -3 (d) -1 d Let q(t) = -7*t - 2. Let y be q(-1). Let k = 2307 + -2307.4. Let f = 0.4 - 0.9. Which is the nearest to 1/6? (a) f (b) y (c) k c Let h = -1 - -2. Let f = 978/7 - 2927/21. Let r = 2.75 + 0.25. What is the closest to 0.1 in h, r, f? f Let z = 2 - 2.1. Let x = 4.046 - 0.046. Let i = 1.3831 + 0.8169. Which is the nearest to z? (a) x (b) 2 (c) i b Suppose 3*p = 2*n + 47, -7 = 78*p - 79*p + 5*n. Which is the closest to -2? (a) 0.2 (b) 2 (c) p (d) 0.4 a Let w be 57/63 + ((-11184)/252)/(-4) + -11. Let v(q) = q**2 + 3*q + 2. Let m be v(-2). Which is the closest to -11? (a) m (b) 0.1 (c) w a Suppose -5*i + 30 + 47 = -3*f, 5*i - 79 = f. Suppose 28 = -11*m - i. Which is the closest to 1? (a) m (b) 10 (c) 0 c Let i = -6 - -4. Let u = 2.27 + -1.87. Let y be 1/(363/22 + -10). Which is the closest to i? (a) y (b) -4 (c) u b Let s = 1.95 + -181.95. Let g = s + 182. Let x = -0.64 + -0.16. Which is the closest to 2/3? (a) g (b) -3 (c) x a Let c = 722 + -721.5. What is the closest to -4 in 2, 0.3, -0.05, c? -0.05 Let q = 14 - 10. Let z be (-3)/130*(-2112)/(-4752). What is the nearest to 2/3 in z, 0.4, q? 0.4 Let g = -2491 + 2493. What is the closest to g in -0.1, -3.2, -5/3? -0.1 Let v be ((-1)/(-2) - (-28)/42)*6. Let l = 0.1 + 0. What is the closest to -0.09 in 1/5, v, l? l Let p be ((-1)/2)/((-7)/(-4)). Let b = 663.67 + -664.07. Let f be (-9)/5 + (2 - 3). What is the nearest to p in b, -0.2, f? -0.2 Let k = 22119 + -44239/2. Let h = 0.8 - 0.7. What is the nearest to -3 in k, h, 2/13, 2? k Suppose -2254 = 7*o - 2107. Which is the closest to 6? (a) -3 (b) 2 (c) o (d) -5 b Suppose -v - 8*v = -783. Let t = v + -71. Suppose -15*g = -11*g + t. Which is the closest to 1? (a) g (b) -0.5 (c) 4 b Let h(r) = 25*r - 98. Let d be h(21). Let s = -4699/11 + d. Which is the closest to 2? (a) -1 (b) 1 (c) s b Let i(n) = n + 384. Let y be i(0). Let q = -8830/23 + y. Let w = 0.91 - 0.71. Which is the nearest to 2/3? (a) w (b) 0.5 (c) q b Let b be (-2)/10 - (-42)/(-240) - 490/(-240). What is the closest to 0.4 in b, 4, -3, 0.23? 0.23 Suppose 2*y + 98 = 2*r, 2*y = -y + 4*r - 149. Let d be (-23312)/(-1116) + (0 - 21). Which is the closest to 0.1? (a) y (b) -2/11 (c) d c Let m = -414 - -410. Let p = 2.059 + -0.059. Which is the nearest to -1/3? (a) m (b) p (c) -4/7 c Let r = -1.162 + 1.462. What is the closest to r in 2/11, -102, -2? 2/11 Let j be (24/36)/(4/6). Let z be (-26)/(-12) + j - 27/(-81). Which is the closest to -0.1? (a) z (b) 10 (c) -5 a Let c = -1237/156 - -280/39. What is the nearest to 6/35 in -23, 0.1, c? 0.1 Suppose -122*a = -120*a - 10. Let s be (3/(-9))/((-1)/(a - 7)). What is the closest to -0.2 in s, 7, 0.3? s Let j = -0.1 + -0.1. Let i be (-2)/(1/((-45)/(-30))). Which is the closest to 1? (a) j (b) 1/4 (c) -0.074 (d) i b Let j = -481 + 480. Suppose 0 = 4*i + 3*r + 20, 3*i + 5*r + 22 = r. Which is the nearest to -1/5? (a) j (b) i (c) -24 a Let k = 6030 - 6030.4. Let i = -2.3 + 1.3. Which is the nearest to -0.47? (a) 2 (b) i (c) k c Let n = -13824 + 13824.5. What is the nearest to 41/4 in -0.2, 0.4, n? n Let v = 5.1 + -5. Let j = 28600.95 + -28601. Which is the closest to 1/3? (a) v (b) j (c) -0.3 a Let k = -620 + 421. Let v = 209 + k. Which is the nearest to 0.2? (a) -1/2 (b) v (c) -0.2 c Let n = -0.5 - -0.57. Suppose 1728*q - 588*q = -1031*q + 10855. Which is the closest to n? (a) 1/2 (b) q (c) 4 (d) 0 d Let s(z) = -7*z**2 - 78*z - 175. Let m be s(-9). What is the nearest to -1 in -3, -2/3, -0.1, m? -2/3 Let h = 5949 + -5952. Which is the nearest to h? (a) 2 (b) -1 (c) 6 b Let t be (-1115)/(-1784) - (-2 + (-19)/(-8)). Which is the nearest to 18? (a) -0.5 (b) -5 (c) t
{ "pile_set_name": "DM Mathematics" }
b**2 - 3*b**j - b**2 + 3*b**2. Let s(c) be the third derivative of -c**4/3 + c**2. Calculate s(i(w)). 16*w**2 Let n(q) = 2*q**3 + q**2 - q. Let u be n(2). Let g(y) = 298 + u*y**2 + y**2 - 296. Let a(v) = v. Calculate g(a(m)). 19*m**2 + 2 Let f(v) = -2*v. Let q(o) = 8230*o**2 + 6*o. Give q(f(r)). 32920*r**2 - 12*r Let x(j) = -2*j + 291. Let c(l) = 5*l**2 - 8*l. Give c(x(d)). 20*d**2 - 5804*d + 421077 Let i(z) = -2*z. Let x(u) be the first derivative of u**2/2 - 73*u - 183. Calculate i(x(k)). -2*k + 146 Let z(l) be the third derivative of -l**4/8 + 29*l**2. Let j(b) = 16*b - 3. What is z(j(o))? -48*o + 9 Let d(q) = -6*q. Let x(v) be the second derivative of -5*v**3/3 + 17*v - 16. What is x(d(p))? 60*p Let m(g) be the first derivative of 5*g**2/2 - 1. Let y(j) = -14*j. Calculate m(y(n)). -70*n Let x(j) be the first derivative of -13*j**2 - 3*j + 5. Let u(r) = 3*r - 2. Let p(c) = -17*c + 11. Let v(y) = -4*p(y) - 22*u(y). Calculate x(v(m)). -52*m - 3 Let t(x) = -18*x**2 - 3*x. Let m(s) be the first derivative of 2*s**3/3 - 569. Determine m(t(q)). 648*q**4 + 216*q**3 + 18*q**2 Let d(t) = -4*t + 3. Let b(f) = -2*f. Let h(n) = -2*n. Let g(w) = 3*b(w) - 2*h(w). Determine d(g(k)). 8*k + 3 Let r(b) be the third derivative of -b**5/30 + 243*b**2. Let p(x) = -24*x. Calculate p(r(i)). 48*i**2 Let p(b) = 3*b**2 + 6*b**2 + 3*b**2 - b**2 - 6*b**2. Let h(d) = -27*d. Calculate p(h(x)). 3645*x**2 Let a(f) = 9*f**2. Let v(w) = -29*w + 22. Give v(a(x)). -261*x**2 + 22 Let f(y) = 12569*y. Let h(v) = 7*v**2. Calculate h(f(j)). 1105858327*j**2 Let a(m) = 31*m**2. Let y(j) = j**2 + 686. Give y(a(i)). 961*i**4 + 686 Let w(y) = -13*y**2. Let x(i) = -6*i**2 - 1. Let l(z) = -5*z**2 + 2. Let g(f) = l(f) + 2*x(f). What is g(w(j))? -2873*j**4 Let r(m) = 11*m**2. Let t(g) be the second derivative of g**5/60 + g**3/3 + 12*g. Let x(w) be the second derivative of t(w). Give r(x(l)). 44*l**2 Let n(u) = 10*u**2. Let y(f) be the first derivative of -1/3*f**3 + 0*f + 0*f**2 - 13. What is y(n(s))? -100*s**4 Let c(v) be the first derivative of -4*v**3/3 - 5. Let p(f) be the third derivative of 0*f - 1/15*f**5 + 0*f**4 + 0*f**3 + 3*f**2 + 0. Determine c(p(d)). -64*d**4 Let m(y) be the first derivative of 129*y**2 - 127*y**2 + 3 + 7. Let p(z) = 2*z + 3 - 3. Determine m(p(i)). 8*i Let m(p) = 119 + 66 - 5*p - 187. Let g(f) = -3*f. Let x(c) = -c**2 - c. Let k(y) = -g(y) + 3*x(y). Calculate m(k(u)). 15*u**2 - 2 Let d(x) be the third derivative of -x**4/8 + x**2. Let p(j) = 3*j**2 - 6*j + 12. Let n(y) = y - 2. Let u(l) = -6*n(l) - p(l). Calculate u(d(s)). -27*s**2 Suppose -2*h = -5*i + 32 - 11, -5*i + 4*h + 27 = 0. Let l(c) = 1 - 3*c - 4 + i. Let g(o) = o**2 - o**2 + 2*o**2 - 3*o**2. What is g(l(q))? -9*q**2 Let x(b) = -11*b**2. Let f(p) = 32*p - 3*p - 17*p - 4*p. Determine x(f(k)). -704*k**2 Let q(p) be the third derivative of -p**7/630 - p**4/6 - 14*p**2. Let a(y) be the second derivative of q(y). Let m(b) = -b**2 + 0*b + 0*b. Give a(m(k)). -4*k**4 Let j(q) be the second derivative of q**4/6 + 23*q + 5. Let r(g) = -2*g. Let p(x) = -x**2 - 3*x. Let v(s) = -2*p(s) + 3*r(s). Give j(v(u)). 8*u**4 Let p(d) = -2*d + 3*d - 3*d. Let c(z) be the third derivative of 0*z**3 + 0*z - 6*z**2 + 0*z**4 + 0 - 2/15*z**5. Calculate p(c(j)). 16*j**2 Let w(f) = 11411*f**2 - 11418*f**2 + 0 + 0. Let h(s) = -2*s. Calculate w(h(y)). -28*y**2 Let b(g) = 15*g. Let n(c) = 4*c + 33*c - 12*c + 8*c. Determine n(b(l)). 495*l Let o(r) = -2*r - 27. Let p(w) = 3*w - 1. Determine o(p(n)). -6*n - 25 Let y(m) = 34*m**2. Let f(r) be the second derivative of -r**3/2 - r + 10. Calculate y(f(n)). 306*n**2 Let s(j) = -3*j + 9. Let i(d) be the third derivative of -d**4/6 - 3*d**3/2 - 4*d**2. Let r(f) = f + 2. Let v(h) = -2*i(h) - 9*r(h). Calculate s(v(o)). 3*o + 9 Let i(g) = -8*g**2 - 18. Let u(d) = 7*d**2 + 15. Let n(w) = -5*i(w) - 6*u(w). Let s(c) be the second derivative of 8*c**3/3 + c. What is s(n(k))? -32*k**2 Let i(v) = -5*v. Let f(b) = -4680 - 9*b + 4680. Determine f(i(d)). 45*d Let t(c) = -63*c**2 + 1. Let j(q) = 0*q - 11*q + 8*q + 4*q + 15*q. What is t(j(g))? -16128*g**2 + 1 Let n(s) = 10 + 2*s + 10 - 20. Let i(k) = -18*k**2. Determine n(i(o)). -36*o**2 Let j(c) = c. Let d(s) = 406*s**2 - 11*s + 22. Let o(q) = 135*q**2 - 4*q + 8. Let x(l) = 4*d(l) - 11*o(l). Determine x(j(u)). 139*u**2 Let o(w) = 5*w. Let z(l) be the second derivative of l**4/3 - l - 12. Determine o(z(q)). 20*q**2 Let t(f) = 0*f**2 + 3*f**2 + 2*f**2. Let l(z) = -3*z**2 + 6*z**2 - 2*z**2. Calculate l(t(h)). 25*h**4 Let v(k) be the first derivative of -k**2/2 + 63. Let m(r) = 812*r. What is v(m(z))? -812*z Let k(q) = 12*q**2 + 29*q**2 - 2*q + 2*q - 56*q**2. Let z(u) = -39*u + 2. Determine k(z(c)). -22815*c**2 + 2340*c - 60 Let t(v) = -4*v. Let c(l) = 29*l + 3. Let k(i) = 3. Let g(x) = -c(x) + k(x). Determine g(t(r)). 116*r Let b(t) be the second derivative of -5*t**4/4 + 8*t - 6. Let u(d) = -12*d. What is u(b(x))? 180*x**2 Let d(h) = 40 + 48 + 9*h - 88. Let a(q) = q. What is a(d(w))? 9*w Let r(i) = 4*i**2. Let a(u) be the first derivative of -52*u**3/3 - 29. Give r(a(w)). 10816*w**4 Let s(z) = -4*z**2. Let w(r) = r + 2. Suppose g + 2*b = -1 - 1, -5*b = 20. Let y(d) = -d - 1. Let o(m) = g*y(m) + 3*w(m). What is o(s(n))? 12*n**2 Let r(b) be the third derivative of b**7/2520 - 4*b**4/3 - 17*b**2. Let p(t) be the second derivative of r(t). Let o(j) = j - 8. Give o(p(v)). v**2 - 8 Let s(p) = -15*p**2 - 11522. Let j(b) = 4*b**2. What is s(j(w))? -240*w**4 - 11522 Let b(r) = -25*r - 14 + 2*r + 5 + 9. Let h(w) = -6*w**2. Calculate h(b(x)). -3174*x**2 Let q(b) = 2*b**2. Let a(v) = 11*v**2 + 6*v + 12. Let l(s) = 2*s**2 + s + 2. Let j(u) = -a(u) + 6*l(u). What is j(q(t))? 4*t**4 Let c(b) = 3*b - 20*b + 58 - 109 + 53. Let u(r) = 8*r. Calculate u(c(v)). -136*v + 16 Let o(n) = n**2. Let i = 1 + 14. Let f(c) = -5*c - 8*c - 7*c + i*c. Determine f(o(q)). -5*q**2 Let s(w) = 5*w - 5*w - 2*w. Let v(u) be the first derivative of u**3/6 - 5*u - 6. Let y(o) be the first derivative of v(o). Determine y(s(x)). -2*x Let i(v) = -v. Let o(w) be the second derivative of w**4/3 - w**3/3 - 2*w - 54. Give o(i(j)). 4*j**2 + 2*j Let k(s) = 127*s + 2. Let u(i) = 145*i. Calculate k(u(l)). 18415*l + 2 Let r = -20 - -7. Let o = r - -15. Let x(n) = n**o - 6*n**2 + 10*n**2. Let u(q) = 2*q. Give x(u(g)). 20*g**2 Suppose 4*m = z + 53, -2*m + 43 + 1 = -4*z. Let o be (-2)/(m/(-9) - -1). Let y(u) = 5*u - o*u - 2*u. Let a(i) = -2*i**2. Give a(y(g)). -18*g**2 Let a(w) = -3*w. Let q(s) = s + 15. Let y(o) = -o**3 + 6*o**2 - 2*o + 1. Let t be y(6). Let d be q(t). Let f(g) = 2*g + 4*g - d*g + 0*g. Determine f(a(m)). -6*m Let j(g) = -18*g + 5. Let x(f) = -4. Let d(m) = 11. Let r(q) = 3*d(q) + 8*x(q). Let t(u) = -j(u) + 6*r(u). Let b(v) = 2*v**2. Calculate t(b(s)). 36*s**2 + 1 Suppose 3*g - 57 = 3*m, -4*g - 4*m + 21 = -79. Let p(x) = 15*x + 8*x - 5 - 1 - g*x. Let v(d) = d. Give p(v(t)). t - 6 Let l(z) = -2*z**2 + 5*z**2 - 2*z**2. Let v(o) be the second derivative of o**5/30 - 9*o**2 + o - 26. Let t(c) be the first derivative of v(c). Give l(t(y)). 4*y**4 Let t(b) = 21*b**2 + 2. Let n(u) be the first derivative of 5*u**3/3 - 76. What is n(t(o))? 2205*o**4 + 420*o**2 + 20 Let l be 228/15 + 1/(-5). Let s(d) = -9*d**2 - 7*d**2 + l*d**2. Let z(h) = -5*h**2. What is z(s(r))? -5*r**4 Let l(j) = 16*j**2. Let t(c) = -9*c**2 + 2*c**2 + 4*c**2. Give t(l(i)). -768*i**4 Let y(c) = -9*c. Let b(t) = t**3 - t. Let p be b(-1). Suppose p = v - 23 + 21. Let s(h) = h**2 + 0*h**v - h**2 + h**2. Give y(s(k)). -9*k**2 Let p(t) = -186*t - 1. Let i(m) = 6*m - 14. Give p(i(f)). -1116*f + 2603 Let c(f) = -13 + 13 - 4*f**2 + 0. Let v(h) = -46*h**2 - h. What is v(c(z))? -736*z**4 + 4*z**2 Let n(z) be the second derivative of 48*z + 0*z**2 + 0 + 4/3*z**3. Let v(p) be the third derivative of -p**4/24 + p**2. Give v(n(k)). -8*k Let r(m) = 101*m. Let a(x) be the first derivative of x**3/3 - 514. Determine r(a(y)). 101*y**2 Let y(f) = -5*f. Suppose 0 = 4*d + c - 21, -5*c = -d - 0*c + 21. Let l(o) = d*o - 14*o + 3*o + 7*o. Calculate l(y(i)). -10*i Let l(z) = -19*z**2 - 9. Let c(n) = -9*n**2 - 4. Let m(k) = 9*c(k) - 4*l(k). Let u(g) = -30*g**2. Calculate u(m(q)). -750*q**4 Let m(p) be the third derivative of p**4/12 - 224*p**2. Let b(h) = 49
{ "pile_set_name": "DM Mathematics" }
a Which is the closest to 0? (a) -417 (b) -111 (c) -7/12 c Which is the nearest to 1? (a) 2.95 (b) 4/19 (c) 6 (d) 13 (e) 2/13 b What is the nearest to 2/3 in -1/9, 3388, 0.1, -3/4, 1.3? 0.1 What is the closest to 0 in -163, -2229, -2/15? -2/15 Which is the closest to -1/18? (a) 1/13 (b) 0.5 (c) 1/6 (d) -10/31 (e) -0.5 (f) -3 a Which is the nearest to 23? (a) -2/17 (b) 1/4 (c) -1 (d) 16 (e) -35 d What is the nearest to -3 in 0, -2, 1/26, -0.2? -2 What is the closest to -91 in 3, 1.82, 2/205? 2/205 Which is the nearest to -3/2? (a) 1/3 (b) 18 (c) 3 (d) 3670 a What is the closest to 1 in 4/5, -23/3, 0.049, 1, -5? 1 What is the nearest to -603 in -1.3, -2, -0.4? -2 What is the nearest to 59 in 0.5, -5/3, 7/16, -2/7, -0.5? 0.5 What is the closest to 1/4 in -2, 2, 111915, -0.5? -0.5 Which is the closest to 2/3? (a) -0.3 (b) -0.2 (c) -3.0366 (d) -3.3 b What is the nearest to 80.6 in -3, -2/7, -336, -0.1, 0.3? 0.3 What is the closest to -3 in -0.5, -22198, -19? -0.5 What is the nearest to 0 in -3/2, 0.06, 0.1, 0.4, -5/3252, -1? -5/3252 Which is the closest to -85? (a) -4 (b) -3/5 (c) -0.0036 (d) 0.1 (e) -2 a Which is the closest to -5? (a) -14598 (b) -4 (c) 11 b What is the nearest to 3/4 in 187403, -6/35, 4? -6/35 Which is the closest to 21? (a) 109/25 (b) -0.5 (c) 1/8 (d) 0.3 a What is the closest to 2.5 in 1/5, 31.5, -140, 4/7? 4/7 What is the nearest to 0 in 3, 4/3, 24, 227/43? 4/3 Which is the nearest to 1/3? (a) 1 (b) -2/169 (c) 34 (d) -0.04 b What is the nearest to -151 in 4, 0.3, 0.6, -6, 7? -6 Which is the nearest to -0.1? (a) -11 (b) 0.6 (c) -94.76 b Which is the closest to -826? (a) -2/33 (b) 0.56 (c) -5 (d) 0.1 (e) 0.03 c Which is the nearest to 20.6? (a) 4 (b) -1946 (c) 55 (d) 2 a What is the closest to 1/35 in 0.2, -5, 1131168? 0.2 Which is the closest to 0.1? (a) 35 (b) 1 (c) -800 b What is the closest to 1 in -3/5, -1/10, 5/121, -3.89, 0.06? 0.06 Which is the nearest to -2/3? (a) 19 (b) 1 (c) 1/6 (d) -0.01 (e) -3 (f) 743 d What is the closest to -1 in -2, 13/17, 5, -102.2, -2/3? -2/3 Which is the nearest to 0.2? (a) 4/6715 (b) -412 (c) -2 a Which is the nearest to 7.8? (a) 3 (b) -15 (c) 0.3 (d) -1 (e) -352 a What is the nearest to -0.06 in 3, -0.5, 142143? -0.5 Which is the closest to 2.96? (a) 9 (b) -3 (c) -2/9 (d) 1 (e) 2 e Which is the closest to 1/2? (a) -2 (b) 25 (c) -2/17 (d) -5 (e) 0.01 (f) -591 e Which is the closest to 79? (a) 0.4 (b) -37 (c) -7 (d) -3/4 a What is the closest to -1 in -2/7, 5, 1.859, 3/10, -2/11? -2/7 What is the nearest to 5 in 5, -143, 40, -8? 5 What is the nearest to 0 in 3, 4, -6/229, 25/3? -6/229 What is the nearest to 12/5 in 2, 69.92, 29, 2/11? 2 Which is the closest to -58? (a) 49/5 (b) 108 (c) 22 (d) 2 d What is the closest to -1/14 in 129, 3, -1771/2, 0, 2? 0 What is the nearest to 16 in 3/4, 0.4, -206, 1/3, 30? 30 What is the nearest to -4 in -9911/2, -1/2, -0.2, 2/3? -1/2 Which is the nearest to 1/3? (a) -5/4 (b) -5 (c) -7/58 (d) 1 (e) 5 (f) 1.2 c Which is the closest to -8989? (a) -2/7 (b) -5 (c) 3 b What is the closest to 20 in 6.4, -3/4, -8, 3? 6.4 Which is the nearest to 5/19? (a) -4 (b) 93 (c) 1/15 c What is the closest to 2/5 in -3/2, 133, 2/37, -14? 2/37 Which is the closest to -29.366? (a) -2/11 (b) 0.18 (c) -23 (d) 5 c What is the nearest to -20/61 in -528, 0, 1/8, -5, 10? 0 Which is the nearest to -34062/11? (a) -0.3 (b) 2 (c) -0.17 a Which is the nearest to -0.2? (a) 1902 (b) 1 (c) -19 b Which is the nearest to 15? (a) 9 (b) 2 (c) 6 (d) 1/2 (e) 0.23 (f) 0.1 a What is the nearest to 2/55 in 511, 0.07, -0.89? 0.07 What is the closest to 0 in -0.2, -1, -306/11, -1/101, 5, 1/9? -1/101 Which is the closest to 4.3? (a) 8/19 (b) 2/7 (c) -2/5 (d) -7 a Which is the closest to 2? (a) 2/9 (b) -1/45 (c) 1418.26 a Which is the nearest to 417087? (a) 3 (b) 2 (c) -2/43 (d) 3/2 a Which is the nearest to 1? (a) -4 (b) -1.5 (c) 1445 (d) 9/8 (e) -14 d Which is the nearest to 1? (a) -10/9 (b) -571 (c) 0.2 (d) 0.9 d What is the nearest to -1/10 in 4, -1/48, -0.04, 75, 6? -0.04 What is the closest to -1/3 in -0.6, -2943/2, -4, -392/3? -0.6 What is the nearest to -0.01191 in -0.6, -5/3, 1/3, -1/379? -1/379 What is the nearest to 2/5 in -2/3613, 3, 0.06, -67, -1, 2/7? 2/7 What is the closest to -3/2 in -7, 18519, 0.4? 0.4 Which is the nearest to 4/9? (a) 2/13 (b) -29/5 (c) 0.1 (d) -2/403 a Which is the nearest to -11? (a) -5 (b) 25 (c) -0.1 (d) 4/55 (e) -0.16 a Which is the closest to -5? (a) 1/351 (b) -218 (c) -0.02 c What is the closest to 13635 in -1, 13, 0.74? 13 Which is the nearest to -2? (a) -4/157 (b) 134357 (c) 1/2 (d) 5 (e) -2 (f) 2 e Which is the closest to 0.2? (a) 38/417 (b) 4 (c) -6 a What is the closest to 0.2 in 2, 588, -20, -3, 1? 1 What is the closest to -1 in 1/2, 0, -140, -35.6? 0 What is the closest to -1568 in -2, 0, -79.7? -79.7 What is the nearest to 2/47 in 199, 5/7, 3/7? 3/7 What is the closest to 4359 in -0.588, 4, -1/7, 0, -0.5? 4 Which is the nearest to 1/7? (a) 0 (b) -118/9 (c) 3 (d) -2/7 (e) -0.4 a Which is the nearest to 1/244? (a) -2/5 (b) -2/11 (c) 12.2 (d) -1 (e) 8 b Which is the nearest to 1/208? (a) -0.3 (b) -4 (c) 3/4 (d) -2/619 d Which is the closest to 0.08? (a) -0.196 (b) -30 (c) -4 (d) 0.3 (e) -3/2 (f) -7 d Which is the closest to -3/8? (a) 1154 (b) -495 (c) 3 (d) -5 c Which is the nearest to -0.05? (a) 3 (b) 2/77 (c) -0.0794 (d) 3/4 c Which is the closest to 1? (a) 2.196 (b) -0.9 (c) -167 (d) 0.2 (e) 0 (f) -4 d What is the nearest to 2/5 in -112, 5, 1, -2/23, 0.02467? 0.02467 Which is the closest to 8? (a) 0 (b) -5 (c) -2/5 (d) -172.73 (e) -2/3 a What is the nearest to 7 in -65, 13, 2/7, 12? 12 What is the nearest to -0.5 in -2/19, -184, 0.004, 0? -2/19 Which is the closest to -2/34443? (a) -3/11 (b) -0.2 (c) -2/3 b Which is the closest to 0.04? (a) 1 (b) -243 (c) -4 (d) -0.0347 (e) 1/10 e Which is the nearest to -0.2? (a) -0.21 (b) 1/2 (c) -12 (d) 20 (e) 4/3 a Which is the nearest to 1.7614? (a) 3/2 (b) -0.5 (c) 1 (d) -1/3 (e) 3/8 a What is the closest to -1 in -691644, 2/3, -0.1? -0.1 What is the closest to 3247 in 0.5, -3, 331/6? 331/6 Which is the nearest to -2462? (a) 4 (b) -11 (c) 0.026 (d) -15/2 b Which is the closest to -95373? (a) 1/22 (b) 0.4 (c) 0.1 a What is the nearest to -2.4 in 4/503, 4, -2, 13, -0.5, -2/15? -2 Which is the closest to -2/11? (a) 7.6162 (b) -0.03 (c) -4 b Which is the nearest to 1/3? (a) -8 (b) 2207/4 (c) -1/2 (d) -4 (e) 0.4 e Which is the nearest to -92? (a) 6 (b) 70 (c) 5 (d) -0.1 (e) -17 e Which is the closest to 9/4? (a) -127/57 (b) -2/17 (c) 0.5 c What is the nearest to 13009 in -0.5, 0, 4/13? 4/13 Which is the nearest to -8? (a) -1/4 (b) 1.89 (c) -0.5 (d) 1.5 c What is the closest to -0.1 in 2, -2/11, -1, -21840, 11? -2/11 What is the closest to -2/31 in -2/3, -6, -1131, -19? -2/3 What is the closest to 1 in -157/16, 2, 6643? 2 What is the nearest to -1/2 in -0.21, 4/3, 5, 27, 0.688? -0.21 Which is the closest to 1/18? (a) 12 (b) 0.4 (c) -37684 b Which is the nearest to 58/3? (a) -3 (b) 0.4 (c) -71 (d) 0.09 b What is the nearest to 2/5 in 0.2, -0.78, 6/187, 4? 0.2 Which is the nearest to 35438? (a) 1 (b) -3 (c) -60 a What is the nearest to -41 in -4, -2, -0.3, 19, 3/7? -4 What is the nearest to 2/3 in 2/27, -181850, 5/4? 5/4 What is the nearest to 6 in -214, 304, 0.5? 0.5 What is the nearest to -1 in 7, -39, 58314? 7 What is the closest to 0.1 in -51612, -4, 1, -2/9? -2/9 Which is the nearest to 33? (a) 97 (b) -0.5 (c) 0.19 (d) -1 c Which is the nearest to -1? (a) -83 (b) 2/29 (c) -2 (d) 2/61 (e) 0.5 c What is the nearest to 918 in -3/577, -4, 4, 5? 5 Which is the closest to -1? (a) 1/7 (b) 3 (c) -1 (d) -14 (e) 3/20 (f) 2/39 c What is the nearest to 10 in -9, 21, 3/10, 2/7, 2/9? 3/10 Which is the closest to 1/4? (a) -373140.17 (b) -3/5 (c) 0.5 c What is the closest to -3/10 in 0, -7, 3/5, -3, 204? 0 What is the closest to -0.2 in 0.4, -2/5, -2541, -2, 2/13? -2/5 What is the closest to -0.7 in 7045, 1/4, 13/3? 1/4 Which is the closest to 0.1212? (a) -2 (b) 1.
{ "pile_set_name": "DM Mathematics" }
d**2 - 251685*d = 0. 0, 3, 5593 Factor 3*d**3 + 252*d**2 + 5103*d + 9222. 3*(d + 2)*(d + 29)*(d + 53) Solve 10*k**3 + 26666*k**2 + 42632*k - 21320 = 0. -2665, -2, 2/5 What is c in 51*c**2 + 13667*c - 268 = 0? -268, 1/51 Factor 2*q**4 + 220*q**3 + 2248*q**2 + 6980*q + 4950. 2*(q + 1)*(q + 5)**2*(q + 99) Find a, given that -2*a**5 + 206*a**4 + 169826*a**3 - 170030*a**2 = 0. -245, 0, 1, 347 Let -2*p**4/9 + 122*p**3/9 + 1904*p**2/3 - 488*p/9 - 22816/9 = 0. Calculate p. -31, -2, 2, 92 Factor -2*x**5 + 15058*x**4 + 211106*x**3 + 739214*x**2. -2*x**2*(x - 7543)*(x + 7)**2 Find l such that l**5/2 - 2501*l**4/2 - 2503*l**3 = 0. -2, 0, 2503 Solve -m**3 + 723*m**2 - 91676*m = 0 for m. 0, 164, 559 Find b, given that 3*b**4/8 - 1141*b**3/8 + 42839*b**2/8 + 29449*b/8 - 7267/4 = 0. -1, 1/3, 43, 338 What is a in a**4 + 9*a**3 - 1000*a**2 - 1008*a = 0? -36, -1, 0, 28 Solve 3*y**5/5 - 558*y**4/5 + 2676*y**3/5 + 7038*y**2/5 + 3801*y/5 = 0. -1, 0, 7, 181 Determine v, given that -v**5/4 + 11*v**4/2 + 181*v**3/4 - 161*v**2/2 - 294*v = 0. -7, -2, 0, 3, 28 Suppose 3*y**2 - 183750*y + 183747 = 0. Calculate y. 1, 61249 Find w, given that -w**2/4 - 33*w/2 + 1027/4 = 0. -79, 13 Suppose s**5 - 23*s**4 - 917*s**3 - 6153*s**2 - 15048*s - 12420 = 0. Calculate s. -15, -3, -2, 46 Determine i, given that 2*i**4/3 - 1156*i**3/3 - 32226*i**2 - 597168*i + 1326312 = 0. -39, 2, 654 Determine w so that 2*w**5/9 + 304*w**4/3 - 7388*w**3/9 + 1856*w**2 - 6*w - 2784 = 0. -464, -1, 3 Find v such that -14*v**4 - 192*v**3 - 490*v**2 + 912*v - 216 = 0. -9, -6, 2/7, 1 Find v, given that 2*v**2 - 52142*v + 52140 = 0. 1, 26070 Find k such that 3*k**5/5 - 354*k**4/5 + 2043*k**3 + 840*k**2 - 117348*k/5 - 164016/5 = 0. -2, 4, 51, 67 Factor -a**3/3 + 50029*a**2/3 - 208583408*a + 208566732. -(a - 25014)**2*(a - 1)/3 Determine z, given that 2*z**4 - 23882*z**3/7 - 75190*z**2/7 - 10254*z/7 = 0. -3, -1/7, 0, 1709 Find i, given that -2*i**3/5 - 646*i**2/5 - 9902*i/5 - 23946/5 = 0. -307, -13, -3 Determine u so that -3*u**3 - 2040*u**2 - 316476*u + 10526544 = 0. -354, 28 Let i**4 - 424*i**3 + 2508*i**2 = 0. Calculate i. 0, 6, 418 Determine d, given that -2*d**2/5 + 1175508*d/5 - 172727382258/5 = 0. 293877 Let 2*h**2 - 3414*h - 212040 = 0. Calculate h. -60, 1767 Factor -z**3/8 - 3*z**2/8 + 17*z/4 - 6. -(z - 3)*(z - 2)*(z + 8)/8 Factor 2*s**2/5 + 164*s/5 + 666. 2*(s + 37)*(s + 45)/5 Solve -2*g**2 + 15476*g - 15474 = 0 for g. 1, 7737 What is v in 2*v**5/3 - 46*v**4/3 - 1142*v**3/3 + 46*v**2/3 + 380*v = 0? -15, -1, 0, 1, 38 Factor -2*q**3/5 - 1408*q**2/5 - 2786*q - 6940. -2*(q + 5)**2*(q + 694)/5 Factor 724*v**3 - 7972*v**2 + 21808*v - 240. 4*(v - 6)*(v - 5)*(181*v - 2) Factor -2*o**2/13 + 2148*o/13 - 1312. -2*(o - 1066)*(o - 8)/13 Factor b**5/7 + b**4/7 - 45*b**3/7 - 25*b**2/7 + 500*b/7. b*(b - 5)*(b - 4)*(b + 5)**2/7 Determine y so that -4*y**3 - 30368*y**2 + 243136*y - 486400 = 0. -7600, 4 Factor 40106*j**2/3 + 80308*j/3 + 64. 2*(j + 2)*(20053*j + 48)/3 Factor -2*b**3 - 372*b**2 - 3472*b + 8448. -2*(b - 2)*(b + 12)*(b + 176) Factor a**3/3 + 328*a**2/3 + 4445*a/3 + 15386/3. (a + 7)**2*(a + 314)/3 Determine w, given that -5*w**2 - 113590*w - 645134405 = 0. -11359 Suppose -2*r**3/7 + 638548*r**2/7 + 2*r/7 - 638548/7 = 0. What is r? -1, 1, 319274 Determine m so that -m**3 - 4864*m**2 - 5919485*m - 11819522 = 0. -2431, -2 Find x such that -44*x**4 + 1028*x**3 - 324*x**2 - 1028*x + 368 = 0. -1, 4/11, 1, 23 Factor 2*k**4 - 2078*k**3 + 276654*k**2 - 13085450*k + 209885816. 2*(k - 892)*(k - 49)**3 Find s, given that -2*s**4/7 + 162*s**3/7 + 96*s**2 + 680*s/7 = 0. -2, 0, 85 Determine b, given that -2*b**3 + 2476*b**2 + 745160*b + 50632400 = 0. -130, 1498 Find i, given that -2*i**3 + 389774*i**2 + 389776*i = 0. -1, 0, 194888 Let -3*g**5 + 501*g**4 - 5265*g**3 + 18387*g**2 - 21060*g = 0. Calculate g. 0, 3, 5, 156 Factor 3*w**3 - 8463*w**2 - 118923*w - 416745. 3*(w - 2835)*(w + 7)**2 Determine x so that x**5/11 + 29*x**4/11 + 112*x**3/11 - 1324*x**2/11 + 832*x/11 + 2240/11 = 0. -20, -14, -1, 2, 4 Suppose -2*y**3 + 354*y**2 = 0. Calculate y. 0, 177 Factor -5*c**3 + 3340*c**2 - 157585*c + 154250. -5*(c - 617)*(c - 50)*(c - 1) Factor -2*p**3/5 + 25394*p**2/5 - 30462*p + 228438/5. -2*(p - 12691)*(p - 3)**2/5 Solve v**3/3 + 3089*v**2 + 7142520*v - 64533132 = 0. -4638, 9 Factor -y**3/5 + 10088*y**2/5 - 2017*y - 20174/5. -(y - 10087)*(y - 2)*(y + 1)/5 Let 2*d**2/9 - 57898*d/9 = 0. Calculate d. 0, 28949 Suppose 3*t**4 + 795*t**3 + 2358*t**2 - 12*t - 3144 = 0. Calculate t. -262, -2, 1 Solve -q**2 - 13*q - 36 = 0. -9, -4 Let -5409828*b**2 - 3606558*b - 4 = 0. Calculate b. -2/3, -1/901638 Suppose 72*g**5 - 115796*g**4 - 315572*g**3 - 296356*g**2 - 109540*g - 12888 = 0. Calculate g. -1, -1/2, -2/9, 1611 Solve 5*t**5 - 8690*t**4 + 34680*t**3 = 0 for t. 0, 4, 1734 Factor -2*u**4 + 126*u**3 - 2352*u**2 + 13720*u. -2*u*(u - 35)*(u - 14)**2 Factor s**4/5 - 417*s**3/5 - 418*s**2/5. s**2*(s - 418)*(s + 1)/5 Factor z**2/4 - 26885*z/4. z*(z - 26885)/4 Factor b**3/5 + 441*b**2/5 - 2682*b/5. b*(b - 6)*(b + 447)/5 Suppose 3*t**4 + 606*t**3 - 21765*t**2 - 22368*t = 0. What is t? -233, -1, 0, 32 Factor -4*j**3 + 804*j**2 - 34520*j - 35328. -4*(j - 138)*(j - 64)*(j + 1) Suppose 2*g**2/11 + 3434*g/11 + 17120/11 = 0. What is g? -1712, -5 What is o in o**2 + 4378*o - 17528 = 0? -4382, 4 Factor 2*o**2/5 + 2548*o/5 + 5088/5. 2*(o + 2)*(o + 1272)/5 Factor u**4/3 + 5908*u**3 - 11817*u**2 + 17726*u/3. u*(u - 1)**2*(u + 17726)/3 Determine o, given that -4*o**3 + 3988*o**2 + 72756*o + 328860 = 0. -9, 1015 Factor p**3 + 324*p**2 + 13595*p - 149328. (p - 9)*(p + 61)*(p + 272) Determine l, given that 2*l**3 + 19180*l**2 - 19186*l - 38364 = 0. -9591, -1, 2 Suppose -3*a**5/4 - 207*a**4/4 + 1221*a**3/4 + 22707*a**2/4 - 88683*a/2 + 64386 = 0. Calculate a. -73, -12, 2, 7 Let -2*x**3 + 86196*x**2 - 928718802*x = 0. What is x? 0, 21549 Factor 2*z**2 - 3630*z + 3628. 2*(z - 1814)*(z - 1) Suppose -q**2 - 525*q - 1566 = 0. Calculate q. -522, -3 Solve -z**2/3 + 31*z - 440/3 = 0. 5, 88 Suppose -3*r**4 + 798*r**3 + 77460*r**2 + 1500354*r - 5219505 = 0. Calculate r. -41, 3, 345 Factor 2*f**2/7 - 5844*f/7 + 4269042/7. 2*(f - 1461)**2/7 Let -l**3 - 9077*l**2 - 18150*l = 0. Calculate l. -9075, -2, 0 Determine a so that 12*a**3 + 51909*a**2 + 90798*a - 25944 = 0. -4324, -2, 1/4 Suppose -5*m**3/4 + 4741*m**2/4 - 237*m = 0. Calculate m. 0, 1/5, 948 Suppose 89860418*y**4 - 269527630*y**3 + 179559972*y**2 + 107224*y + 16 = 0. What is y? -2/6703, 1, 2 Suppose n**5 + 68*n**4 + 1384*n**3 + 6290*n**2 - 29609*n + 21866 = 0. Calculate n. -29, -13, 1, 2 Factor 2*k**2/13 - 483380*k/13 + 483378/13. 2*(k - 241689)*(k - 1)/13 Solve 3*x**3/5 + 5697*x**2/5 - 184608*x/5 + 1483008/5 = 0. -1931, 16 Determine k, given that 20*k**3 - 612108*k**2 + 244840*k = 0. 0, 2/5, 30605 Suppose -y**2/2 - 909*y = 0. Calculate y. -1818, 0 Suppose -r**5/5 + 104*r**4/5 + 2683*r**3/5 + 11326*r**2/5 - 14112*r/5 = 0. Calculate r. -16, -7, 0, 1, 126 What is g in 3*g**5 - 711*g**4 + 40803*g**3 + 127431*g**2 + 85914*g = 0? -2, -1, 0, 111, 129 Find y such that -3*y**4/8 - 285*y**3/8 - 2481*y**2/8 + 5829*y/8 - 765/2 = 0. -85, -12, 1 Factor -4*m**4/7 - 944*m**3/7 + 31020*m**2/7 - 34200*m. -4*m*(m - 15)**2*(m + 266)/7 Factor 5*o**2 - 298010*o + 4440498005. 5*(o - 29801)**2 Factor 4*d**2/5 + 8428*d/5 - 33776/5. 4*(d - 4)*(d + 2111)/5 Factor o**4/3 + 175*o**3 + 11856*o**2 - 3212352*o. o*(o - 99)*(o + 312)**2/3 Determine q, given that -q**3 - 3867*q**2 + 23229*q - 34857 = 0. -3873, 3 Let -1610*u**5 - 5346*u**4 + 12926*u**3 - 3454*u**2 - 2436*u - 80 = 0. Calculate u. -5, -2/7, -4/115, 1 Let 5*a**4/3 + 3746*a**3/3 + 23084*a**2/3 + 12634*a + 2229 = 0. Calculate a. -743, -3, -1/5 Factor 98*r**3 + 53004*r**2 + 3699000*r - 1032750000. 2*(r - 102)*(7*r + 2250)**2 Factor 4*x**5 - 64*x**4 - 44*x**3 + 2904*x**2. 4*x**2*(x - 11)**2*(x + 6) Find m, given that m**3/2 + 69*m**2 + 4451*m/2 - 2295 = 0. -85, -54, 1 Factor 2*f**2/11 - 380*f/11 + 12432/11. 2*(f - 148)*(f - 42)/11 Find c such that -2*c**5/3 - 144244*c**4/3 + 2*c**3 + 432728*c**2/3 - 288488*c/3 = 0. -72122, -2, 0, 1 Solve -3*d**2/5 - 222276*d/5 - 4117218348/5 = 0. -37046 Suppose u**5/2 - 47*u**4/2 + 383*u**3/2 + 479*u**2/2 - 192*u - 216 = 0. Calculate u. -1, 1, 12, 36 Factor
{ "pile_set_name": "DM Mathematics" }
(s) = s**2 - 6*s + 1. Suppose -4*q + 2*c + 32 = -0*c, -3*c = 2*q - 8. Determine y(q). 8 Suppose -2*c + 6*c + 4 = 0, 5*j - c = 16. Let z(r) = -4*r**2 + 5*r**2 + 3 + 3*r**2 - 8 + r**j. Let g(i) = -i**3 + 5*i**2 - 4. Let n be g(5). Give z(n). -5 Let u(j) = -j**2 - 6*j - 1. Let r(q) = -q**2 + 3*q + 3. Let w be r(-2). Suppose a - 5*d + 6 = 15, 0 = 3*a - 4*d + 17. Let p = a - w. Give u(p). 7 Let l(y) = 20 + 91*y - 83*y + 12*y**2 - 13*y**2. Give l(9). 11 Let k(q) be the third derivative of q**6/120 + q**5/5 - q**4/12 - 7*q**3/3 - 7*q**2 + 4*q. Determine k(-12). 10 Let a(t) = -t**3 + 3. Let n be a(0). Let k(s) be the second derivative of -s**4/24 - 4*s**2 + 12*s. Let p(g) be the first derivative of k(g). Determine p(n). -3 Let x(r) = r + 16. Suppose -w + 8*i = 9*i + 5, -4*i + 34 = -2*w. Determine x(w). 7 Let v = 6 + -21. Let l = v - -10. Let x(s) be the second derivative of s**4/12 + s**3 + 2*s. What is x(l)? -5 Let x(v) = v**2 + 3*v - 6. Let n be x(-5). Let b = -3 + n. Suppose 0 = 4*f - 3*f + b. Let k(p) = 10*p**3 + p. Calculate k(f). -11 Let n(r) = 8*r**2 + 3 - 4*r**2 + r**2 + 6*r - 4*r**2. Suppose 12*u + 2*u = -56. Determine n(u). -5 Let y(t) be the first derivative of t**5/20 + t**4/8 + 11*t**2/2 + 3. Let n(j) be the second derivative of y(j). Determine n(-2). 6 Let y be 8/(-6)*(-15)/5 + 5. Let m(b) = -4*b + 8. Give m(y). -28 Suppose 2*p + 4*g = -g + 26, -p - 3*g = -14. Let v(c) = 2*c + 3*c - 11 + p. Determine v(-3). -18 Suppose -2*o + 276 = 4*x + 282, 0 = 2*o + 2*x + 8. Let h(a) = -4*a**2 - 6*a + 2 + 3 + 3*a**2. What is h(o)? 10 Let r = 184 - 187. Let n(q) be the third derivative of q**6/120 + q**5/20 + q**4/24 + 8*q**2. What is n(r)? -3 Let m(w) = -w + 3. Let z(h) = h**3 - 16*h**2 - 2*h - 4. Let l be z(16). Let s be (-420)/(-54) + (-8)/l. Suppose 4*j - p + s = 23, 12 = -j - 5*p. What is m(j)? 0 Let b = 954 + -952. Let x(v) = -9*v**3 + 11*v**2 - 6*v - 3. Let r(d) = 5*d**3 - 6*d**2 + 3*d + 2. Let q(f) = -7*r(f) - 4*x(f). Give q(b). 4 Let b = -2 - 5. Let o(r) = -1 - 3 + 4 - 7 + 2 + r. Give o(b). -12 Let d(w) be the first derivative of -10*w**3/3 - w**2 + 2*w + 628. Give d(-2). -34 Let h(b) be the first derivative of 5*b**3/3 + 3*b**2/2 - 3*b + 6. Let s be h(1). Let q(d) = d**3 - 5*d**2 + d. Calculate q(s). 5 Let s(a) be the third derivative of 1/6*a**3 - 7/24*a**4 + 36*a**2 + 0*a + 0 + 1/60*a**5. Determine s(6). -5 Let m(p) = -p**2 + 8*p - 11. Let z be m(4). Let v(b) = 4 - 1 + z*b + 0 - b. Calculate v(-3). -9 Let i(u) = 32*u - 4. Let w(v) = 7*v - 1. Let d(x) = 2*i(x) - 9*w(x). Suppose -j = 3*j - 8. What is d(j)? 3 Let s(a) = a**3 - 8*a**2 - 7*a + 19. Let o be s(9). Let l(i) = -6 + 16*i - o*i + 20*i. Give l(-7). 1 Let k(p) = -4*p - 29. Let t be k(-10). Let v(m) = 3*m**3 - 2*m - 3. Let q(l) = 16*l**3 - 9*l - 16. Let h(f) = t*v(f) - 2*q(f). What is h(3)? 14 Let m(c) = -1 + 51*c - 23*c - 27*c. Let i(g) = -10*g + 10. Let k(j) = -2*i(j) - 22*m(j). What is k(-4)? 10 Suppose 2*l = 5*v - 248, -7*v = -3*l - 3*v - 358. Let p = l - -118. Let k(c) = -c**3 + 5*c**2 - 5*c + 2. Calculate k(p). -2 Let a(b) = b**2 - 10*b - 20. Suppose -4*x - 3*z + 7 + 29 = 0, 4*z = 5*x - 76. What is a(x)? 4 Let w(d) = 3*d**2 + 1 + 0*d**2 + d + 15*d**2 - 3*d**2. Determine w(-1). 15 Let d(a) = -a + 3*a + 46 - 46. Calculate d(-5). -10 Let q = 13 + -7. Let n(s) = -20*s + 51. Let r(z) = -7*z + 17. Let o(p) = q*n(p) - 17*r(p). Let i be o(15). Let c(y) = 2*y + 2. Calculate c(i). 6 Suppose 0*m + m - 14 = -5*n, -2*n - 21 = -m. Let k = -12 + m. Suppose -5 = -2*z + k*z. Let r(y) = 4*y**3 - 2*y**2 - y. Calculate r(z). -5 Let t(q) be the first derivative of -q**2/2 - 16*q + 221. Give t(-7). -9 Let j be (-1 + -1)*39/6. Let m(t) = -t**2 - 14*t - 9. Let i be m(j). Suppose 6 = -a + i*a. Let l(z) = z**3 - 3*z**2 + 4*z - 3. Give l(a). 1 Let k(t) = 4*t + 3. Let u(j) = 5*j + 3. Let m(h) = -4*k(h) + 3*u(h). Determine m(-6). 3 Let z(n) be the third derivative of -n**4/24 - n**3/3 - 17*n**2. Give z(10). -12 Let t(v) = v**2 - v - 7. Suppose 2*b = -4*g + 28, 4*g - 4*b - 10 - 6 = 0. Give t(g). 23 Let x(u) = 37*u - 1 - 16*u - 20*u - 1. Let k(m) = -m**2 - 4*m + 3. Let f be k(-4). Give x(f). 1 Let i(g) be the third derivative of 2*g**5/15 - g**4/24 + g**3/6 - 292*g**2 - 2. Give i(2). 31 Let b be 5 + (-2)/(-4)*-2. Suppose -2*h = -4*r - 14, 3*h + h + 4*r - b = 0. Let x(a) = 0*a + a**3 + 4 + 4*a**2 - 2*a + a**h - 3*a**3. Calculate x(4). -4 Let z(m) = -m**2 - 4*m + 136. Let l be z(-14). Let x(o) be the third derivative of -o**5/60 - o**4/24 + 2*o**3/3 - o**2. Give x(l). -8 Suppose 8 = -d + 10. Let x(s) = 9*s - 27*s**d + 26*s**2 - 8*s. Give x(4). -12 Let s(m) = -m + 8. Let h be s(6). Suppose h*v - 5*v = -45. Suppose 10 = 2*t + 3*x, -3*t - x + v = x. Let p(g) = -g**3 + 6*g**2 - 6*g + 6. What is p(t)? 1 Let x(c) be the first derivative of -c**4/4 + 3*c**3 + 4*c**2 + 5*c - 475. What is x(10)? -15 Let p(x) = 3*x. Suppose o = 4*s + 9, -26*s = -2*o - 24*s. Determine p(o). -9 Suppose 0 = 3*m - 5*m + 3*s - 29, -5*m - 4*s - 84 = 0. Let n = 13 + m. Let l(u) = u - 1. Calculate l(n). -4 Let r(d) = -d**3 - d - 7. Suppose -3 = -5*a - 2*c + 17, -4*a = -2*c - 16. Let g(z) = z - 7. Let i be g(a). Let x be 0/((6 + i)/3). Give r(x). -7 Let o be (5 - 2) + (3 - 3) + -3. Let w(d) be the second derivative of d**5/20 - d**2 - d. Determine w(o). -2 Let x(v) = -8215*v + 2 - 8216*v + 16432*v - 1. Let j(c) = -5*c + 1. Let q be j(-1). What is x(q)? 7 Let p(g) = -g**3 + 3*g**2 + 10*g - 6. Let l be p(4). Let f(c) = -c - l*c - 1 - 5*c + 5*c. Determine f(1). -20 Let h(j) = j**2 - 13*j + 21. Let s be h(2). Let l(u) = 54*u**3 - u**2 - u - 1. Calculate l(s). -55 Let l(m) = 2 + 8 - 3*m + 8*m - 2*m - 2*m. Calculate l(-7). 3 Let l(w) be the third derivative of 0 - 1/60*w**5 + 0*w - 4/3*w**3 - 1/3*w**4 - 12*w**2. Suppose -3*f = -0*f + 21. What is l(f)? -1 Let o(s) = 5 + s**2 - 165*s + 169*s - 7 + 2*s**2 - 2*s**2. Give o(-4). -2 Let s(v) = v**3 - 7*v**2 + v**2 + 12 - 6*v**2 - 13. Give s(12). -1 Let g be 7/(-21) + (-4)/(-12) + 6. Suppose -w + 20 = 3*s, 2*w = -3*s + 9 + 10. Let k(u) = -s*u + 3*u**2 - 2*u**2 - 5 + 2*u. Calculate k(g). 1 Let o(m) = m**2 + 14*m - 7. Let f = 107 + -122. Let k be o(f). Let b(p) = -p**2 + 8*p - 4. What is b(k)? -4 Suppose 13*s - 59 = -20. Let n(z) = z - 3. Calculate n(s). 0 Let o(c) be the first derivative of c**3/3 - 5*c**2 + 11*c + 1. Calculate o(10). 11 Let b(r) = r**2 + r - 2. Let n be ((-15)/6)/(-5)*30. Let q be (6/(-7))/(3/(-42)). Let i = n - q. Determine b(i). 10 Let i(g) = g - 2. Let v = -44 - -49. Suppose 5*w - 56 = v*z - 11, -33 = -5*w + z. Calculate i(w). 4 Let p(n) = -2*n**2 - 2*n + 1. Let h be p(1). Let y be (-15)/6*(-16)/20. Let o(q) = 27*q - 16*q + q**y - 12*q. Calculate o(h). 12 Suppose 0 = -28*p - 40 + 180. Let c(b) = b**3 - 5*b**2 - 9. Let s(f) = 3*f**3 - 15*f**2 - 28. Let t(m) = -7*c(m) + 2*s(m). What is t(p)? 7 Let v(k) = -5*k**3 - k. Let p be (2 - 96/(-45)) + 2/(-15). Suppose -3*n - p*i = 15, -n + 0*i - 16 = 5*i. Give v(n). 6 Let j(z) = -4*z**2 - z**2 - 25*z + 7*z**2 + 29*z. Give j(-2). 0 Let d be -4 + (-5)/((-5)/9). Let j(p) = -6*p**3 + 5*p**2 + 3*p. Let i(x) = -7*x**3 + 5*x**2 + 4*x + 1. Let h(g) = -5*i(g) + 6*j(g). What is h(d)? -15 Let b(k) = k + 1. Let w(o) = -2*o - 1. Let i(s) = 5*b(s) + 6*w(s). Let c(n) = 3*n. Let a(q) = 15*c(q) + 6*i(q). Let m be (-30)/(-5) - (5 - 3). Give a(m). 6 Let r(w) = 3*w**2 - 2*w. Let z(y) be the second derivative of -5*y**4/12 - y**3/3 + y**2/2 + 5*y. Let p be z(1). Let m be 5 - (-5)/(10/p). Determine r(m). 8 Let j(f) = 4*f - 3*f + 2*f - 3 + 6. Let o(c) = -c - 1. Let n(t) = -j(t) - 6*o(t). Let r = 0 - 2. Give n(r). -3 Let l(t) = 0 + 9 - 2*t - 4*t**2 + t**2 + 0 + t**3. Determine l(4). 17 Let p(y) = -y**3 - 4*y**2 - 77*y - 308. Let q be p(-4). Let m(j) = 5*j**2 + 7*j - 5. Let u(a) = 6*a**2 + 8*a - 4. Let c(t) = 7*m(t) - 6*u(t). Calculate c(q). -11 Let w = -10 + 9. Let z be (4 - (2 + w))/((-24)/16). Let o(t) = t**3 + t**2 + 2*t + 2. Determine o(z). -6 Let t(n) = n + 2*n + 14 + 44. Let v be t(-18). Let y(s) be the first derivative of -s**4/4 + 5*s**3/3 - 3*s**2/2 + s - 1. Calculate y(v). 5 Let o(r) = -42*r - 9. Let b(l) = -79*l - 17. Let a(h) = 6*b(h) - 11*o(h). Calculate a(-2). 21 Let z(p) be the third derivative of -p**6/120 + p**5/12 - p**4/8 + 2*p**3/3 + 8*p**2 - 2. Let s(
{ "pile_set_name": "DM Mathematics" }
. 383*d**4 Expand (r**2 + 0*r**2 + 2*r**2)*(-r**2 + r**2 - 2*r**3) + (r**4 - 2*r**4 + 2*r**4)*(-2*r + 0 + 0) - 11*r**4 + 11*r**4 + 5*r**5. -3*r**5 Expand (x**3 - x**3 + x**4)*(-2*x - 3*x - 7*x) + 10*x**5 + x**2 - 9*x**5 + 2*x - 2*x**2. -11*x**5 - x**2 + 2*x Expand (2 + 1 - 1)*(-7 - 1 - 32)*(-5*i + 3*i + 3*i). -80*i Expand 4*v**4 + v**4 + 0*v**4 + (0*v + 2*v**3 + 0*v)*(-1 + 1 - 3*v) + (-v + 2*v**3 + v)*(9*v - 2*v + 2*v). 17*v**4 Expand y**2 - y**2 + 12*y**3 + y**3 + 0*y**3 + y**3 + (-3*y + 1 - 1)*(-2*y**2 - y**2 + 2*y**2) + (3*y**2 + 6 - 6)*(-2 + 2 - 2*y) + 3 - 3 - 2*y**3. 9*y**3 Expand (-9*a**4 + 22*a**2 - 22*a**2)*(a + 0*a - 2*a). 9*a**5 Expand (2*q**3 + 74*q - 27*q + 221*q)*(0 - 1 - 1)*(2 + 1 - 2). -4*q**3 - 536*q Expand (6*u - 6*u + 4*u)*(-3*u - 4*u + 2*u) + 4*u**2 - 5*u**2 - u**2. -22*u**2 Expand (-2 - 627*w + 5 + 280*w)*(-2*w**2 + 0*w**2 - w**2). 1041*w**3 - 9*w**2 Expand (0 - 2*k - 4 - 3)*(-7 + 15 - 2). -12*k - 42 Expand (7 + 1 - 1)*(-c**5 - 9*c**5 - c**5). -77*c**5 Expand (-f - 2 + 2)*(0*f**2 - 5*f**2 - f**2)*(2 + 2 + 1). 30*f**3 Expand (2*d**2 + d**2 - 2*d**2)*(-2552 + 1273 + 105*d**2 + 1278). 105*d**4 - d**2 Expand (-19*x - 46*x + 7*x)*((2 - 4 - 1)*(1 - 1 - 2) + 0 + 4 - 5)*(0*x + 0*x + x). -290*x**2 Expand (-s + s + 2*s**2)*(s**3 + s**3 + 0*s**3) + 47*s**5 - 16*s**5 + 11*s**5. 46*s**5 Expand (-1 + 4 - 2 - 3 + 3 - 2 + (3 - 2 - 2)*(3 + 1 - 2))*(-2666*d**2 - 2688*d**2 + 2 + 5399*d**2 + d). -135*d**2 - 3*d - 6 Expand (1 + 1 - 1)*(0 + 3 - 1)*(-12*x + 16*x + 5*x)*(1 - 2 - 1). -36*x Expand (2 - 1 + 0)*(-k - 1002 + 1002)*(3*k**2 + 0*k**2 - 2*k**2). -k**3 Expand (-r + r + r)*(-9*r**2 - 18*r**2 + r**2) - 4*r + 4*r - 3*r**3 + r - r - 2*r**3. -31*r**3 Expand -3*m + 3*m + m**2 + (2*m + 3 - 3)*(-7276 + 7276 - 200*m). -399*m**2 Expand 3*u**4 - 8*u**4 - 9*u**4 + (-2*u - 2*u**2 + 2*u)*(-u**2 + 4*u**2 - u**2) - 3*u**4 + 5*u**4 - 3*u**4 - u**4 + 7*u**4 + u**4. -12*u**4 Expand -116*g**4 + 3571*g - 3571*g + (0*g**2 + g**3 + 0*g**2)*(3*g - 7*g + 3*g) + 3*g**3 - 6*g**4 - 3*g**3. -123*g**4 Expand p**5 + 4*p - 4*p + (-3 + 3 + p**2)*(14*p**3 - 52*p**3 - 8*p**3). -45*p**5 Expand (3 + 3 - 5)*(47 - 29 + 13)*(0*r + 4*r - 3*r) + (-3 + 0 - 3)*(-3 + 3 - r) - 2 - r + 2. 36*r Expand (-2*n**3 + n**4 + 2*n**3)*(-3*n + 4*n - 3*n) + 70*n**5 + 363*n**5 - 125*n**5. 306*n**5 Expand (o**3 + 3*o**3 - 2*o**3)*(-2*o**2 + 3*o**2 + o**2)*((2 + 1 - 2)*(-1 - 3 + 2) - 2 + 4 + 1 + 2 + 17 - 6). 56*o**5 Expand (0 - l + 0)*(3*l + 2*l - 3*l)*(-4 + 2 - 1) - 4 - 11*l**2 + 4. -5*l**2 Expand 8 - 20 + 10 + s**2 + (1 + 4 - 2)*(1 - s**2 - 1) + s**2 - 5*s**2 + 2*s**2. -4*s**2 - 2 Expand (18365 - 62*v - 18365)*(8*v**2 - 15*v**2 + 13*v**2 - 2*v + 1). -372*v**3 + 124*v**2 - 62*v Expand (-2*u - 2*u + 0*u)*(-3*u**2 + 3*u**2 - 3*u**2) + (-4 + 2 - 4)*(2*u**2 + 2*u**2 - 3*u**2)*(0*u + 3*u - 4*u) - 2*u**3 + 2*u**3 - 2*u**3. 16*u**3 Expand (0*h**2 + 0*h**2 + 2*h**4)*(-109 - 54 + 5). -316*h**4 Expand 0*y - 2*y + 3*y - 4*y - 4*y + 2*y + 0*y + 2*y - 3*y + (-3*y - y + 2*y)*(-1 + 3 + 0) + 4*y - 3*y + y + 3 - y - 3. -9*y Expand (4*f**3 + 2*f**5 - 4*f**3)*(-2 + 0 + 1) + 5 + 3*f**5 - 5 + (-3 + 5 - 5)*(2*f**5 - 4*f**5 + f**5). 4*f**5 Expand (-2*v + 0*v + 4*v + (-2 - 6 + 5)*(3 - 3 - v) + 3*v - 2*v + 2*v)*(-3 + 1 - 2). -32*v Expand (-152 - 378 + 248)*(-3*w - 2*w + 0*w)*(2*w**2 - 5*w**2 + 2*w**2). -1410*w**3 Expand -10*x**3 + 15*x**3 + 6*x**3 + (-x**2 - x**2 - 3*x**2)*(1 + 1 - 2*x - 5). 21*x**3 + 15*x**2 Expand (3*d - 3*d + d)*(0*d**2 - d**2 + 3*d**2) + (351 - 351 + 27*d)*(-2*d + 2*d - d**2). -25*d**3 Expand (13333*h - 8*h**2 - 13333*h - 26)*(-2*h - 2*h + 6*h)*((4 - 1 - 4)*(0 + 2 + 0) + 2 - 4 + 0). 64*h**3 + 208*h Expand (-9*c**2 + 2*c**2 - 2*c**2)*(0*c**2 - c - 16*c**2 + 2*c**2). 126*c**4 + 9*c**3 Expand 2*w**4 - w**4 + w**4 + (-2 + 2 - 2*w)*(4*w**3 - 3*w**3 - 3*w**3) + 4*w**4 - 6*w**4 + 4*w**4 + w**4 + 2*w**4 - 2*w**4 - 2614*w**3 + 2614*w**3 - w**4. 8*w**4 Expand (-j**2 + 0 + 0)*(-2*j + 2*j - 2*j) + (-j**2 + j**2 + 5*j**2)*(14265 + 125*j - 14265). 627*j**3 Expand (5 - 4 - 2)*(2*b - 2*b + 2*b) - 2*b + b + 0*b + b + 0*b - 2*b + (0 - 2 + 1)*(5 - 5 + b) + 48*b - 7 + 7. 43*b Expand (2*d - 3*d - d)*(-4*d + 2*d + d) - 2*d - 179*d**2 + 96*d**2 + 6 + 96*d**2. 15*d**2 - 2*d + 6 Expand (-166 + 38 + 71)*(0*a + 3*a - a) - a + a - 2*a + 1. -116*a + 1 Expand (2*b**2 - 3*b**2 + 3*b**2)*(-20*b**2 + 9*b**2 - 11*b**2)*(-2*b + 2*b - b). 44*b**5 Expand (m + 0 - 2 - 4)*(-2*m**3 - m**3 + m**3). -2*m**4 + 12*m**3 Expand 123*j - 9 - 250*j + 125*j - 6*j + 4*j + 0*j + 4*j - 4*j + 2*j + (-5*j + 3*j + 0*j)*(2 + 0 - 3) + 4*j - j - j + (-2*j + 8*j - 2*j)*(-1 - 4 + 3). -6*j - 9 Expand (-5*n + 686 - 686)*(3*n**2 + 0*n**2 + 9*n**2). -60*n**3 Expand 2*i**2 + 0*i**2 - 3*i**2 + (2*i - 2*i - i)*(2*i - 3*i + 0*i) - 3*i + 3*i + 3*i**2 - i**2 + 3*i + 41 - 22 + 0*i. 2*i**2 + 3*i + 19 Expand (158*x + 164*x - 316*x - 5)*(-2*x**3 + 0*x + 0*x). -12*x**4 + 10*x**3 Expand (7*j + 4*j - 15 - 9*j)*(0 + 0 - 1). -2*j + 15 Expand (5*b + 0*b - 6*b + (2*b + 2*b - 2*b)*(-5 + 0 + 3) + 4*b - 3*b - 4*b)*(2*b - 1 + 1)*(-4 + 15 + 6). -272*b**2 Expand (-u + 0 + 0)*(-4*u**2 - 6 + 6) + (3*u - 4 + 4)*(3 - 4 + 0)*(3*u**2 + 3*u**2 - 10*u**2). 16*u**3 Expand (6 + 2*h + 6 - 9)*(4*h**2 - 12*h**2 - 2*h**2). -20*h**3 - 30*h**2 Expand -2*h**3 + 2*h**3 + 2*h**3 + (-42 + 42 + 13*h)*((2 - h - 2)*(-5*h - h + 4*h) + 0*h**2 - h**2 + 2*h**2). 41*h**3 Expand (-c**3 + c + 0*c - 2*c**3)*(-c + 2*c + c + (-48 + 7*c + 48)*(2 + 2 - 3))*(0*c + c + 0*c). -27*c**5 + 9*c**3 Expand (r**4 - r**2 + r**2)*(-6 - 3 - 9)*(-5 - 1 + 4). 36*r**4 Expand (48*t - 27*t - 24*t + (-5*t + 5*t - 2*t)*(5 + 1 - 2))*(-3 - 1 + 6). -22*t Expand (-2 + 112*w**3 - 149*w**3 + 112*w**3)*(-w**2 + 2*w**2 + 2*w**2)*(-4 + 0 + 2)*(0 + 3 - 5). 900*w**5 - 24*w**2 Expand (0 + 0 - f + (-4*f - f + 3*f)*(-1 + 2 - 3))*(5 + 1 - 3)*(-76*f**2 + 76*f**2 - 13*f**3). -117*f**4 Expand -4*q**4 - 2*q**2 + 2*q**2 + q**4 - q**4 - 4*q**4 + (-2 + 1 - 1)*(q**4 - 3*q**4 + 4*q**4) + 0*q**4 - q**4 + 4*q**4. -9*q**4 Expand (-r + r + r)*(2*r**3 + 2 - 2 + (r**2 - r**2 - r**2)*(0 - r + 0) + 74*r**3 - 89*r**3 + 92*r**3). 80*r**4 Expand (33*g - g**2 + 0*g**2 + 15*g)*(-71*g + 112*g - 79*g). 38*g**3 - 1824*g**2 Expand -28*y + 11*y - 11*y - y + y + 2*y + (2 - 1 - 4)*(-3*y - 2*y + 3*y). -20*y Expand (-4*w**2 + 4*w**2 - 4*w**2)*(13*w - 26*w - 20*w). 132*w**3 Expand (-10 - 1 + 0)*(3*p**2 - 3*p**2 + 2*p**4 + (-1 - p + 1)*(-p**3 - 9*p**3 + 2*p**3) + (-p + 0*p + 3*p)*(-p**3 - 3*p + 3*p)). -88*p**4 Expand 56 - 56 - 73*s + 0*s - 3*s + 5*s - 2*s - 2*s + 3*s + 4*s - s - s + (2 - 2 - s)*(-3 + 2 + 0). -69*s Expand v**3 - 2*v**4 - v**3 + (-2*v - 9 - v**2 + 9)*(-10*v**2 + 3*v**2 + v**2) - v**4 - 2*v**4 + 5*v**4. 6*v**4 + 12*v**3 Expand 0*l**2 + 4*l**2 - 2*l**2 + (-l + l - 2*l)*(-104*l - 41*l + 43*l). 206*l**2 Expand (15670*h - h**2 - 2 - 15670*h + 10*h**3)*(3*h - 3*h + h). 10*h**4 - h**3 - 2*h Expand -34 + 10*f**4 - 12*f**4 + 2 + (-2*f**2 - 2*f**2 + 3*f**2)*(f**2 + f**2 - f**2). -3*f**4 - 32 Expand 0*b**4 + b**4 - 5*b**4 + (2*b + 3*b - 4*b)*(-b**2 + b**3 + b**2) + 1101*b + 85 + 2*b**4 - 1101*b - 4*b**4. -5*b**4 + 85 Expand (4*u**3 - 4*u**3 + 3*u**3)*(-3*u + 2*u**2 + 3*u) + 3*u**5 - u**5 - 9*u**5. -u**5 Expand (-12*q + 25*q - 11*q - 8)*(-4 - 1 + 8). 6*q - 24 Expand (26*u - 22*u - 11 - 173*u + 28)*(-u + 4 - 4). 169*u**2 - 17*u Expand (3 - 12 - 8)*(0*s - 2*s - 8*s). 170*s Expand (-2*h**2 + 3*h**2 - 4*h**2)*(h**2 - 6*h**2 - 2*h**2 + (-h + 0*h + 2*h)*(2*h - 7*h + 3*h)). 27*h**4 Expand (6 - 6 + 3*b)*(-4 + 0 + 6)*(-6 - 2 + 1)*(0 - 2 - 2). 168*b Expand (-2*t**5 + t**5 + 3*t**5)*(-1 - 2 + 4) + 10*t**5 - 3*t**5 + 12*t**5 + t**5 + 0 + 0 + (5*t - 4*t - 2*t)*(3 - t**4 - 3). 23*t**5 Expand -2*l - l + 4*l + (1 + 5 - l - 8)*(15 - 5 + 5). -14*l - 30 Expand (-2*a - 3*a + 2*a)*(9*a**2 + 3*a - 6*a**2 - 5*a**2) + (1 - 1 + 2*a)*(7*a**2 - a**2 - 8*a**2). 2*a**3 - 9*a**2 Expand 17647 - 17647 - 1213*v**3 - 2*v**3 - 4*v**3 + 5*v**3 + (-v + v + 2*v**3)*(-7 + 3 + 3). -1216*v**3 Expand (0*j - 3*j + 2*j)*(2*j**3 - 5*j**3 + 2*j**3)*(-31*j + 7 - 2 + 22*j). -9*j**5 + 5*j**4 Expand (24*p - 2*p + 10*p)*(5*p - 3*p - p)*(-6*p**3 + 2*p**3 - p**3). -160*p**5 Expand (-4*l**3 + 0*l**3 + 0*l**3)*(-1 + 0 + 0) + (5*l - 2*l - 2*l)*(86 - 86 + 12*l**2)*(-2 - 1 + 4). 16*l**3 Expand (6*f + 5*f - 3*f)*(-f - 5*f + 3*f) + f**2 + 0*
{ "pile_set_name": "DM Mathematics" }
1. Let v = h - -5. Let z = v + -0.1. What is the closest to -1/3 in 1/4, z, 2/13? z Let l = 19 + -18.74. Let a = l - -0.04. Suppose 0*k = -k - 5*y, 0 = -5*k - 2*y. What is the nearest to -0.1 in k, a, 3? k Let p(r) = 3*r + 5. Let b be p(-2). Let i = -12 + 3. Let c = 6 + i. What is the nearest to 0.1 in c, 0.5, b? 0.5 Let l = 0.7 - -0.3. Let k = -1 + l. Let h be 8/(-12)*2/6. Which is the nearest to k? (a) 0.4 (b) h (c) -5 b Let u = -4 + 2. What is the closest to -0.1 in u, 0, -1? 0 Let h be -1 - (0 - (-7)/(-6)). Let k = 11.3 - 7.3. What is the closest to 1/4 in h, k, -2/5? h Let r = 26 - 30. Which is the nearest to 1? (a) r (b) -2/3 (c) -5 b Let h = 1.5 - -1.5. Which is the nearest to -1? (a) h (b) 9/7 (c) 4 b Let r = -54 + 376/7. Suppose -22 = -3*k + 29. Suppose -3*p - g - 4*g - k = 0, 0 = 4*p + 3*g + 19. What is the closest to 1 in -1, p, r? r Let t = -3 - -5. Which is the nearest to t? (a) -1 (b) 4 (c) 1 c Let j = -2.7 - -2.9. Let o = -0.3 + j. What is the closest to o in 1, -4/3, 2/7? 2/7 Let r = 1 + -0.5. Let w = 0.1 - -0.2. Let y be 0/1 - 4/10. What is the nearest to y in w, r, 0? 0 Let z = -118 - -233/2. Which is the closest to -1? (a) -0.1 (b) 3 (c) z c Let a = -179 + 183. What is the nearest to -2 in a, -5, 0.11? 0.11 Let y(b) = -b**2 - 4*b + 5. Let j be y(-4). Let f be (-5)/(j/2) + -4. Let u be f + (0/(-1) - -2). What is the closest to -1 in u, -2, -3/2? -3/2 Let l = -12.3 - -12.44. What is the closest to 0 in 0, l, 1/6? 0 Suppose 4 = 3*r - r. Let i = -3.7 + -0.3. Let z = i - -3. Which is the closest to 0.2? (a) z (b) r (c) 2/11 c Let d = 34 - 33. What is the closest to d in 4, 2, -0.5? 2 Let k be ((-3 - -6) + -2)*16/(-2). Which is the closest to -1/3? (a) -2 (b) k (c) 6 a Let i = -14 + 8. Let s(l) = l**2 + 6*l - 5. Let r be s(i). Which is the closest to -1? (a) r (b) -0.3 (c) -1/5 b Let y = 28.95 - 28. Let v = 0.05 + y. Which is the nearest to v? (a) -1/5 (b) -0.3 (c) 0.4 c Let h be -1 + 4 + -5 + 6. Suppose h*y + 1 = -3. Let t = 178/77 + -20/7. Which is the nearest to y? (a) t (b) 5 (c) -1/2 a Let b = -21 - -17. What is the closest to 2 in -1, -1/2, b? -1/2 Let a(h) = -h**2 + 5*h - 4. Let r be a(3). Let l = -1.1 - -0.1. Suppose -n - 4 = 3*n + 4*z, 37 = 3*n - 5*z. What is the nearest to l in n, -5, r? r Let r = -0.6 + 4.6. Let l = 3.5 - r. Which is the nearest to -1? (a) 0.1 (b) -2/7 (c) l c Let j = -1 + 1.7. Let u = j - 0.5. Which is the closest to u? (a) 2 (b) 1/2 (c) -2 b Let z = -23 + 153/7. Let w = z + 31/21. Let t = 4 + -3. What is the closest to w in 0, t, -1? 0 Let i = -9 - -14. Let c = 3 + -7. Let m = c - -3. What is the closest to -1/2 in 0.1, i, m? m Let w = 1 + -1.5. Let r = 4 - 4. Which is the nearest to r? (a) w (b) -0.3 (c) 1/3 b Let o = -113 - -112.5. Let u = 17 + -35/2. What is the closest to u in 1, o, 2/5? o Let t be (-6)/3 - (41/13 - 5). Which is the closest to 0? (a) 0 (b) -4 (c) t a Let s = 4 + -2. Suppose s*m + 2 = -4. What is the closest to -1 in m, -5, 2/9? 2/9 Let v = -0.114 + 1.114. What is the closest to v in -4, -0.1, 2/3? 2/3 Let p = -0.003 - -0.303. Which is the closest to p? (a) 0.2 (b) 2 (c) -0.1 a Let p = 1.4 - 0.4. Let b = 3 - 3.1. What is the nearest to b in -5, 0.3, p? 0.3 Let z = 11 + -11. Which is the nearest to z? (a) -2/3 (b) 5 (c) -0.3 c Let o = -0.108 - 4.892. Let t = -2.1 - -2. Suppose 3 = -x - 0*x - 5*d, 0 = 5*d. Which is the closest to t? (a) x (b) -4 (c) o a Let q = 50.2 + -53.2. Let r = -40 + 159/4. Which is the closest to r? (a) 5 (b) -1 (c) q b Let n = -479 - -483.02. Let t = -0.02 + n. Let v = -5.4 + 5. What is the nearest to -1 in v, t, 0.4? v Let q = 9 + -6. Let z be (30/(-49))/((-4)/7). Let j = z + -4/7. What is the nearest to 1/4 in q, j, -5? j Let u be -3 - (2 - (-86)/(-18)). What is the nearest to u in -1, 4/3, -4? -1 Let f = -0.01 + -4.29. Let o = -4 - f. Suppose 0 + 2 = 2*r. Which is the nearest to r? (a) o (b) 2 (c) -2/7 a Let h = -56 - -166/3. Let p(s) = -s - 5. Let q be p(-3). Which is the closest to h? (a) q (b) -1/8 (c) 0.5 b Suppose -53*n + 40 = -48*n. Let o be ((-1)/1)/(n - 12). Let j = 0.41 + -0.01. Which is the nearest to 0.1? (a) 4/5 (b) o (c) j b Let x = -25 - -24. What is the closest to x in -0.25, -5, -1/5? -0.25 Suppose -4*g - 15 = -g, -2*w - 7 = 3*g. Let s(f) = 5*f**3 + f**2 + f. Let i be s(-1). Which is the nearest to -2/3? (a) -4 (b) i (c) w a Suppose -7*y = -10*y + 15. Which is the closest to 0? (a) 3 (b) y (c) -2 c Let d = -3 + 1. Which is the nearest to -0.1? (a) 0.4 (b) -1/3 (c) d b Let i = -1.2 + 0.2. Suppose 3*r - 2*v - 7 = 0, -4*r + 2 = -4*v + 5*v. Let y = -0.6 + 0.2. Which is the closest to r? (a) y (b) i (c) -4 a Let y be -1*40/12 - -4. What is the closest to y in -0.5, 3, -1.1? -0.5 Let o = 0.5 - 0.3. Let g be (-20)/(-25) + 116/(-170). What is the closest to o in -1/4, -0.4, g? g Let z be (-214)/(-9) + 8/36. Suppose 4*k = k + z. Let r = k + -10. Which is the nearest to r? (a) 4 (b) -1/3 (c) 3 b Let w = 80 + -79.9. What is the nearest to w in 6, 5, 2/3? 2/3 Let z = 181.08 - 185. Let r = z - 0.08. Let k be 10/24 + (-2)/(-6). What is the closest to -0.2 in -3/5, r, k? -3/5 Let z = -141 + 144. What is the closest to -2 in 1/5, z, 4? 1/5 Let d(r) = r**2 + 4*r - 5. Let s(n) = n**3 - 6*n**2 - 8*n + 2. Let f be s(7). Let q be d(f). Which is the closest to -1? (a) -3 (b) q (c) -2/9 c Let j be (2/8 - 1)*104/273. Let g = -4.9 - -5. What is the nearest to g in j, 4, 2? j Let s = 4 - 6. Let j be ((-2)/12)/(8/(-36)). Which is the nearest to 0.1? (a) s (b) j (c) 0.4 c Let d be (63/48)/(-7)*-4. Which is the closest to 0? (a) -5 (b) d (c) -2/7 c Let w = 17.6 + 1.4. Let j = -19.2 + w. Which is the nearest to 1/4? (a) j (b) 3 (c) -1/3 a Let a = -0.26 - -0.16. Let z = -58/3 + 281/15. Let t = -1.9 - -2. What is the closest to a in t, z, 0.5? t Let u = 64 - 322/5. Let i = -23 + 28. Which is the closest to 0? (a) i (b) u (c) 0.5 b Let w = 22 + -26. Which is the closest to -3? (a) w (b) 3/7 (c) 1/3 a Let w be 12/(-7) + (-2)/7. Let k be (3/(-6))/(2 + 0). Let j = 0.7 + -0.2. Which is the nearest to -1/2? (a) w (b) k (c) j b Let d(m) = m + 2. Let n be d(-6). Let j = -11 - -7. Let z = n - j. Which is the closest to z? (a) 0.1 (b) -0.4 (c) 4 a Let a = -142 + 138. Let f = 0 - -1. What is the nearest to f in -3/2, a, -2? -3/2 Let h = -4633/15 + 309. Which is the nearest to 2/19? (a) 2/3 (b) -2 (c) h c Let w = -6.6 - -8.6. Which is the nearest to 0.1? (a) w (b) 0.2 (c) -2 b Suppose 3*h = 4*h - 4. Which is the nearest to 0.1? (a) h (b) -3/2 (c) -1/6 c Let i(d) = d - 2. Let b be i(4). Let w = 0.14 - 1.14. Let m = 1.2 - 6.2. What is the nearest to -1/4 in w, m, b? w Let k = -0.04 - 0.76. Let g = k - -0.3. Let t be ((-4)/32)/(1/(-2)). Which is the nearest to t? (a) 0.3 (b) -0.2 (c) g a Let z(i) = 4*i**3 - i. Let m be z(1). Let q = 1 + -0.9. What is the closest to m in q, 2, 0.2? 2 Let w be 4/(-18) + 153/81. Let h = 0.2 + -0.22. Let r = 5.02 + h. Which is the closest to 0.1? (a) r (b) 1 (c) w b Let d = -49.2495 - -0.0495. Let q = d - -41. Let r = 8 + q. Which is the nearest to r? (a) 0.1 (b) -4 (c) 4 a Let t = -21 + 20.9. Let w be 1/(-3) + 2/24. Which is the nearest to w? (a) t (b) -2/9 (c) 0.4 b Let y = 11 - 6. What is the closest to -0.1 in 3/5, y, -2/13? -2/13 Let y = -0.2 + 0. Let o = -1/21 + -2/7. Which is the nearest to o? (a) y (b) 1/4 (c) -0.3 c Suppose 0 = -5*o + 64 + 41. Suppose -3*g - f = -4*f + 15, -4*f = -5*g - o. Which is the closest to g? (a) 0 (b) 4 (c) -0.2 c Let n = -0.6 - -0.5. Let q = n - 0.1. Let x = -0.07 - 0.03. What is the nearest to x in q, 5, 4? q Suppose 3*t - 2 = m - 0, 5*m - 3 = 2*t. What is the nearest to m in 2/9, -3, 4/7? 4/7 Let t = 1 - 0. Let v(p) = p. Suppose 0 = -4*o + 15 + 5. Let k be v(o). Which is the nearest to -2/5? (a) k (b) t (c) 0.3 c Let f = -3 + 0. Which is the nearest to -0.1? (a) -3/2 (b) f (c) 3 a Let l be (-96)/(-52) + -1 - (-8)/52. Which is the closest to 0.1? (a) l (b) -1 (c) -2/3 c Let v = 3.2 - -0.8. Suppose 3*f = -f + 4. Let o be 2 + f/(12/(-27)). Which is the nearest to o? (a) 3/8 (b) 0.1 (c) v b Let q = 2 - -3. Let n be 2 + -1*(-10)/(-7). Let j = -0.02 - 0.98. Which is the closest to j?
{ "pile_set_name": "DM Mathematics" }
*4/4 - 1332*u**3 + 15782315*u**2/4 + 7899147*u/2 - 7893820 = 0. What is u? -7447, -2, 1, 2120 Factor k**3/4 - 149*k**2 + 58891*k/4 - 42834. (k - 472)*(k - 121)*(k - 3)/4 Factor -l**3 - 218575*l**2 - 11933149712*l + 1159573006912. -(l - 97)*(l + 109336)**2 Find f such that -f**4 - 23*f**3 + 4599*f**2 + 145775*f - 840350 = 0. -49, 5, 70 Find q such that q**3/2 + 61*q**2 - 284581*q/2 + 4337489 = 0. -611, 31, 458 Factor c**2 - 52498*c. c*(c - 52498) Solve -8*v**5 - 380*v**4 - 3880*v**3 + 9860*v**2 + 147288*v - 393120 = 0. -63/2, -13, -10, 3, 4 Find v such that -3*v**3/5 - 1173378*v**2/5 - 15253407*v/5 = 0. -391113, -13, 0 Find n such that -494*n**5/11 + 19046*n**4/11 + 39574*n**3/11 + 20034*n**2/11 = 0. -1, 0, 10017/247 Suppose -2*f**4/3 - 128*f**3 - 2342*f**2/3 + 15080*f - 118400/3 = 0. What is f? -185, -16, 4, 5 Factor g**2 + 2068*g - 8288. (g - 4)*(g + 2072) Determine d so that -5*d**5 - 159525060*d**4 - 1272412238400180*d**3 = 0. -15952506, 0 What is i in 2*i**5/3 + 316*i**4/3 - 7214*i**3 - 67724*i**2/3 - 1240*i/3 + 30096 = 0? -209, -2, 1, 54 Let -2883*f**5 + 527217*f**4 - 16122864*f**3 - 2086956*f**2 - 67392*f = 0. Calculate f. -2/31, 0, 39, 144 What is v in 2*v**2/3 - 124686796*v/3 + 1943349637093202/3 = 0? 31171699 Suppose y**3/3 - 7147*y**2/3 + 1029290*y/3 - 2030000/3 = 0. What is y? 2, 145, 7000 Determine v so that -4*v**2 + 5061244*v + 40490208 = 0. -8, 1265319 Factor -c**2/5 + 156763018*c/5 - 6143660953117081/5. -(c - 78381509)**2/5 Solve -2*b**3/9 - 287230*b**2/9 + 574474*b/9 + 287234/3 = 0. -143617, -1, 3 What is a in -2*a**5/9 - 956*a**4/9 - 41354*a**3/3 - 4813444*a**2/9 + 4938464*a/9 = 0? -296, -97, -86, 0, 1 Factor -8*k**3 + 265144*k**2/3 + 1856302*k/9 + 1082900/9. -2*(k - 11050)*(6*k + 7)**2/9 Factor 4*s**2 + 1404072*s + 210520800. 4*(s + 150)*(s + 350868) Suppose 39*q**2/2 - 8553*q + 875196 = 0. Calculate q. 2114/13, 276 Suppose -2*i**2 - 13396*i - 5120874 = 0. Calculate i. -6291, -407 Solve 5*t**5/2 + 6915*t**4/2 + 552865*t**3/2 - 29463155*t**2/2 + 163934565*t - 149482880 = 0. -1294, -128, 1, 19 Determine i so that -i**5/3 + 2276*i**4/3 + 60653*i**3 + 3885454*i**2/3 + 13431220*i/3 + 4246616 = 0. -41, -33, -2, 2354 Let -2*q**5/15 + 4921528*q**4/15 - 3027719103856*q**3/15 + 48442659161984*q**2/15 - 84774166304864*q/5 + 145326737268096/5 = 0. Calculate q. 4, 6, 1230374 Factor a**3 + 12069*a**2 - 290104*a + 1547904. (a - 16)*(a - 8)*(a + 12093) Factor 5*d**2 - 98585*d. 5*d*(d - 19717) Find k such that k**4 - 138374*k**3 + 18668340*k**2 - 839893050*k + 12597028875 = 0. 45, 138239 Find b, given that 3*b**2/2 + 158561454*b + 4190289115765686 = 0. -52853818 Factor 8325*m**3/2 - 37463*m**2 + 116559*m/2 - 7. (m - 7)*(m - 2)*(8325*m - 1)/2 Solve 2*l**3/5 + 69988*l**2/5 + 588466624*l/5 - 420816961216/5 = 0 for l. -17828, 662 Factor -2*c**2/5 + 87968*c/15 + 176008/5. -2*(c + 6)*(3*c - 44002)/15 Determine x so that -2*x**2/13 - 65967042*x/13 - 131934076/13 = 0. -32983519, -2 Let 2*y**3 - 16*y**2 - 17650*y - 285600 = 0. What is y? -80, -17, 105 Let -168*s**3/13 + 996070*s**2/13 - 18852862*s/13 - 224580/13 = 0. Calculate s. -1/84, 19, 5910 Let -k**5/4 + 279*k**4/4 - 13669*k**3/4 + 117321*k**2/4 - 161465*k/2 + 54750 = 0. Calculate k. 1, 4, 5, 50, 219 Let -4*q**4/9 + 1060*q**3/9 - 63992*q**2/9 + 426224*q/9 + 372320/3 = 0. Calculate q. -2, 10, 78, 179 Factor 3*i**2 - 60084*i - 601140. 3*(i - 20038)*(i + 10) Factor g**3 + 14330708*g**2 + 51342211960960*g - 616108607155200. (g - 12)*(g + 7165360)**2 Factor -5*k**3 + 249435*k**2 - 3065124375*k - 1145747109375. -5*(k - 25125)**2*(k + 363) What is z in 2*z**3/5 - 8014*z**2/5 + 5771766*z/5 - 1159090218/5 = 0? 429, 3149 Factor 3*h**2 + 14379576*h. 3*h*(h + 4793192) Determine g, given that 35641*g**3/6 + 70024*g**2/3 - 5030*g/3 + 8/3 = 0. -4, 2/1229, 2/29 Determine j so that -4*j**2 + 20304*j - 23307152 = 0. 1754, 3322 Find n, given that 51*n**4/4 + 3051*n**3/2 - 36240*n**2 + 12600*n = 0. -140, 0, 6/17, 20 Find f such that -2*f**5/11 + 25514*f**4/11 + 255346*f**3/11 - 76322*f**2/11 - 3575152*f/11 + 5004664/11 = 0. -7, 2, 12767 What is a in -3*a**2/4 - 146019*a/4 = 0? -48673, 0 Find n, given that n**3 + 25944*n**2 + 9159429*n - 9185374 = 0. -25586, -359, 1 Factor -6*s**2/7 + 454704*s/7 - 129912. -6*(s - 75782)*(s - 2)/7 Find r such that 30*r**5/7 + 9342*r**4/7 + 239700*r**3/7 + 1774008*r**2/7 - 561840*r/7 - 33739200/7 = 0. -284, -11, -10, 18/5 Suppose 4*m**3/3 + 578344*m**2 + 62714755840*m - 376295475200/3 = 0. Calculate m. -216880, 2 Find q such that 22275*q**4 - 2454120*q**3 + 425919*q**2 - 24094*q + 440 = 0. 4/99, 1/15, 110 Suppose 3*d**5 - 456*d**4 - 8995065*d**3 - 5567491182*d**2 - 5540508300*d + 11116995000 = 0. Calculate d. -950, -2, 1, 2053 Factor -v**2/3 - 28763*v + 18251500/3. -(v - 211)*(v + 86500)/3 Let r**2/7 + 18084281*r/7 + 108505650/7 = 0. What is r? -18084275, -6 Let -4*o**4 - 7836*o**3 + 1973760*o**2 - 24325808*o = 0. What is o? -2186, 0, 13, 214 Let 4*c**5 - 3490508*c**4 + 761444720616*c**3 + 14468364217512*c**2 + 75389310352980*c + 61682394346596 = 0. What is c? -9, -1, 436323 Find t, given that -2*t**4 + 24238*t**3 + 291126*t**2 + 218402*t - 533764 = 0. -11, -2, 1, 12131 Determine l so that -l**3 + 222631*l**2 + 445269*l - 667899 = 0. -3, 1, 222633 Factor -r**2 + 485267394*r - 58871110919887809. -(r - 242633697)**2 Find o such that -2*o**4 + 19164*o**3 - 4744656*o**2 + 396180288*o - 11059856640 = 0. 84, 9330 Factor 2*s**2/5 + 442218*s/5 - 88444. 2*(s - 1)*(s + 221110)/5 Solve 2*m**3 - 424866*m**2 - 5098658*m - 4673790 = 0. -11, -1, 212445 Find a such that -3*a**5 - 2007*a**4 + 12129*a**3 - 14193*a**2 - 12126*a + 16200 = 0. -675, -1, 1, 2, 4 Determine z so that 2*z**4/5 + 2188*z**3/5 + 637746*z**2/5 + 21105216*z/5 - 21745152/5 = 0. -528, -39, 1 Suppose -2*i**4/7 - 488*i**3/7 + 27262*i**2/7 - 26772*i/7 = 0. Calculate i. -291, 0, 1, 46 Suppose -d**5 - 152607*d**4 - 5821842583*d**3 + 29111959899*d**2 - 40757781616*d + 17467816908 = 0. Calculate d. -76306, 1, 3 Solve 3*c**4 - 144*c**3 - 29385*c**2 + 1422474*c + 25163712 = 0. -96, -14, 79 Find r, given that 2*r**3/7 + 1605500*r**2/7 + 322211808600*r/7 + 3221957538000/7 = 0. -401370, -10 What is l in -3*l**2/7 + 311076*l/7 - 4043481/7 = 0? 13, 103679 Let 4*b**5 - 104906908*b**4/5 + 29373928*b**3 - 41962752*b**2/5 = 0. What is b? 0, 2/5, 1, 5245344 Find o such that -395641*o**3/3 + 25978958*o**2/3 - 30392832*o + 27426816 = 0. 1152/629, 62 Determine a, given that -4*a**3/3 + 108612*a**2 - 2207124036*a - 192842753364 = 0. -87, 40773 What is t in -2*t**3/9 - 97738*t**2/9 - 1196188174*t/9 - 51255532934/9 = 0? -24413, -43 Let -600*o**5 - 95950934*o**4 + 74523592*o**3 + 213971886*o**2 + 42218608*o - 1279352 = 0. Calculate o. -159919, -1, -1/4, 2/75, 2 Factor -5*c**3 + 9910*c**2 - 98480*c - 236640. -5*(c - 1972)*(c - 12)*(c + 2) Find i, given that i**5 - 5363*i**4 - 253607*i**3 - 3585385*i**2 - 7837102*i + 106317320 = 0. -17, 4, 5410 What is p in -2*p**5/21 - 11428*p**4/21 + 206392*p**3/21 + 229244*p**2/21 - 206390*p/21 - 217816/21 = 0? -5732, -1, 1, 19 Factor 3*l**3/7 - 165897135*l**2/7 + 327641195197512*l - 2293488200485452/7. 3*(l - 27649522)**2*(l - 1)/7 Determine m so that 3*m**2 - 510720*m - 4085952 = 0. -8, 170248 Suppose h**2/4 - 4124319*h/2 + 17010007213761/4 = 0. What is h? 4124319 Solve 2*r**3/13 + 396480*r**2/13 + 19700594874*r/13 + 5056396529796/13 = 0 for r. -98991, -258 What is t in t**5/2 - 9995*t**4/2 + 27256977*t**3/2 - 11132651489*t**2/2 + 5525465261*t + 11105424492 = 0? -1, 2, 492, 4751 What is y in y**2/6 + 72561*y/2 - 108842/3 = 0? -217684, 1 Determine d, given that -185*d**3/3 - 140662*d**2/3 - 187535*d/3 - 15686 = 0. -759, -1, -62/185 Suppose -1242150*m**5 - 5101460*m**4 - 3803106*m**3 + 1544460*m**2 + 1859968*m + 371712 = 0. Calculate m. -3, -1, -176/455, 2/3 Factor 3*l**2 + 2509497*l - 2509500. 3*(l - 1)*(l + 836500) Factor 2*d**2/7 + 1779418*d/7 - 1779420/7. 2*(d - 1)*(d + 889710)/7 Factor -w**3/2 + 2944603*w**2/2. -w**2*(w - 2944603)/2 Determine s so that -5*s**5/2 + 585*s**4/2 - 11240*s**3 + 162450*s**2 - 630000*s = 0. 0, 6, 25, 30, 56 Let -5*m**3 - 165505*m**2 - 1328578195*m + 683861758825 = 0. What is m? -16793, 485 Let -5*k**4 + 1190*k**3 - 46625*k**2 - 16320*k + 14515200 = 0. What is k? -15, 32, 189 Factor -2*l**
{ "pile_set_name": "DM Mathematics" }
econd derivative of n*a**2 + 14 + o*a + 14 - 28 wrt a? 8 Let o(x) = x**2 - 5*x + 4. Let q be o(5). Find the first derivative of 7*t**q + 8 + t**4 + 20 + 2*t**4 wrt t. 40*t**3 Let b(y) be the first derivative of 13*y + 39 + 3*y - 29 + y**4 - 3*y. Differentiate b(s) with respect to s. 12*s**2 Suppose 2*p = -o + 5, 8*o + 25 = 4*p + 5*o. Differentiate -50 + 3*r + 98 + 11*r**p - 5*r + r with respect to r. 44*r**3 - 1 Let q = -99 + 101. Find the third derivative of 12*j**2 + 22*j**q + 14*j**3 + 13*j**3 - 4*j**3 wrt j. 138 Let n = 34 - 27. What is the third derivative of -10*l**2 - 16*l**2 - n*l**4 + 2*l**4 - 5*l**4 wrt l? -240*l Let f be (-2513)/(-133) - 2/(-19). What is the first derivative of -4*c + 17*c**2 + 4*c + 3 - f wrt c? 34*c Differentiate -423 + 564 - 130*c - 56*c + 5*c wrt c. -181 Let o(k) = 1. Let d(s) = -9*s**3 - 9*s**2 - 9. Let h = -7 - -6. Let c(b) = h*d(b) - 9*o(b). What is the third derivative of c(i) wrt i? 54 Let i(t) be the third derivative of -10*t**2 - 1/168*t**8 + 0*t**7 + 0*t + 0*t**6 + 1/5*t**5 + 0 + 0*t**4 + 0*t**3. What is the third derivative of i(z) wrt z? -120*z**2 Let p = -23 + 80. Suppose 0 = 2*o + 3*h - 87, -3*o = 3*h - 66 - p. What is the second derivative of 35*j**3 - 3 - o*j**3 + 7*j + 3 wrt j? -6*j Let x(f) be the first derivative of -2*f**6/15 - f**5/3 + 5*f**2/2 + 16. Let o(z) be the second derivative of x(z). Find the third derivative of o(n) wrt n. -96 Let l(h) be the first derivative of -13 + 0*h**2 - 11*h + 12/5*h**5 + 0*h**4 + 0*h**3. Differentiate l(t) with respect to t. 48*t**3 Suppose -3*g - 40 = -5*c, c + 1 = -2*g - 4. Let m = g + 13. Differentiate 4*w**2 + 4 - 5 + m wrt w. 8*w Let v = -36 - -41. What is the second derivative of -15*d + 13*d**5 + 9*d - 16*d**v - 20*d wrt d? -60*d**3 Let k(m) = 0*m + m - 1 - 2*m. Let y = 52 - 53. Let h(v) = 2*v**2 - v - 2. Let g(o) = y*k(o) + h(o). Differentiate g(p) with respect to p. 4*p Suppose -7 - 37 = -22*v. What is the second derivative of 3*x**v + 41*x - 45*x - x**3 - 7 - 4*x**2 wrt x? -6*x - 2 Let w(s) = -1. Let g(y) = -23*y + 7. Let l(q) = 2*g(q) - 6*w(q). What is the first derivative of l(p) wrt p? -46 Let u(g) = 2*g**2 + 4*g - 18. Let s be u(14). Find the third derivative of 16*l**2 - 430 + s - 5*l**5 wrt l. -300*l**2 Let r(h) = 14*h**6 - 2*h**3 + 38*h**2 + 2*h. Let b(q) = 43*q**6 - 7*q**3 + 113*q**2 + 7*q. Let m(g) = 4*b(g) - 14*r(g). Find the third derivative of m(y) wrt y. -2880*y**3 What is the first derivative of -35*a - 93 + 391*a - 91 - 2 - 59*a wrt a? 297 Differentiate 1376 - 2784 + 1301 - 437*z with respect to z. -437 Let a(m) be the second derivative of -52*m**6/15 - 61*m**2 + 321*m. What is the derivative of a(o) wrt o? -416*o**3 What is the third derivative of -26*b - 3*b**4 + 7*b**6 - 36*b + 14*b**6 + 24*b**6 + 30*b**2 + 60*b wrt b? 5400*b**3 - 72*b Suppose 26 = 2*b + 5*n, 0*b + 4*b - 28 = -4*n. Suppose 5*v - v = 8. What is the second derivative of a**3 - 7*a + a**3 - v*a**3 - 6*a**b wrt a? -36*a Suppose 0 = -3*f - 4*w + 5, -4*w + 2*w = -3*f + 11. Let x(o) be the second derivative of -4*o**2 + 0 + 4*o - 5/6*o**f. What is the derivative of x(q) wrt q? -5 Let y(j) be the first derivative of 22 - 4*j**2 - 6*j**4 + 48*j - 48*j - j**2. What is the second derivative of y(t) wrt t? -144*t Suppose 11 - 17 = -3*f. Let t = f - -3. Differentiate m**2 + t + m**2 - 2 + 4*m**2 with respect to m. 12*m Let o(w) be the first derivative of 0*w + 0*w**3 - 6*w**2 + 3 + 0*w**4 + 1/5*w**5. Find the second derivative of o(v) wrt v. 12*v**2 Let o(w) = -40*w**4 + 2*w**3 - 2*w**2 - 2*w - 40. Let y(k) = k**4 - k**3 + k**2 + k - 1. Let r(i) = -o(i) - 2*y(i). Find the first derivative of r(p) wrt p. 152*p**3 Let l(p) be the third derivative of -37*p**7/70 - 73*p**3/2 + 114*p**2 + 1. Differentiate l(d) with respect to d. -444*d**3 Let b(i) = -147*i + 104. Let q(k) = -588*k + 417. Let y(r) = 21*b(r) - 5*q(r). What is the first derivative of y(j) wrt j? -147 Suppose -3*w - 25 = -5*u, 0 = -3*w + w - 10. Suppose q = -a - 3*a, -5*q - 5*a = -45. Find the third derivative of u*s**3 - 5*s**3 - 3*s**2 + q - 12 wrt s. -18 Suppose 8*n + 20 = 13*n. Suppose 0 = 6*m - 3*m - 21. Find the third derivative of -2*h**6 - 26*h**4 + 26*h**n - 10*h**6 - m*h**2 wrt h. -1440*h**3 Differentiate -20 + 4*p - 3*p**2 + 15*p - 43 wrt p. -6*p + 19 Suppose 5 = 3*x - 4*x. Let m(j) = -2*j - 4. Let a be m(x). What is the third derivative of w**6 - w**2 + 4*w**a - 10*w**2 wrt w? 600*w**3 What is the third derivative of 22*g**3 - 25*g**2 + 1589*g**4 + 31*g**2 + 127*g**2 - 1591*g**4 wrt g? -48*g + 132 Suppose -264 = -19*m - 93. Let j(a) be the first derivative of 0*a - m + 9/2*a**2 + 0*a**5 + a**6 + 0*a**4 + 0*a**3. Find the second derivative of j(s) wrt s. 120*s**3 Let q(r) be the first derivative of r**6/3 + 17*r**5/5 + 15*r**3 - 47. Find the third derivative of q(x) wrt x. 120*x**2 + 408*x What is the third derivative of -123617*i - 2*i**2 + 18 + 104*i**3 + 123617*i wrt i? 624 Let p(d) be the second derivative of -3*d**5/20 + 31*d**4/4 - 257*d**2/2 - 57*d. Find the first derivative of p(f) wrt f. -9*f**2 + 186*f Let k(v) = -v**3 + v**2 + 2*v - 1. Let y(t) = -161*t**3 + 32*t**2 - 1. Let j(u) = -k(u) + y(u). Find the third derivative of j(a) wrt a. -960 Let h(b) be the third derivative of -211*b**6/120 + 85*b**4/24 + 165*b**2. Find the second derivative of h(w) wrt w. -1266*w Suppose 5*b - 10 = 5*m, 5*b + 3*m + 2 + 4 = 0. Suppose n - 2*d = 0, 5*n - 2*d - 3*d = b. Differentiate -4 + 2 + 5 + n*y + y with respect to y. 1 Let c(t) = -2*t + 17. Let f be c(5). Find the second derivative of -19 - 10 + 8*s + f*s**3 + 29 wrt s. 42*s Suppose 7*o = 2*o + 10. Let x = 3 - 0. Find the second derivative of -o*c + 40*c**3 - 3*c - 45*c**x wrt c. -30*c What is the second derivative of 16*w + 5*w - 28*w**5 - 143*w + 102*w**5 wrt w? 1480*w**3 Let o be ((-3)/27)/((-37)/555). Let z(u) be the first derivative of -o*u**3 + 7 + 0*u + 7/2*u**2. Find the second derivative of z(m) wrt m. -10 Let l(f) be the third derivative of f**5/6 - 100*f**3/3 + 255*f**2. What is the first derivative of l(c) wrt c? 20*c What is the third derivative of 21*p**5 + 27*p**2 + 21*p**5 - 18*p**5 + 8*p**5 wrt p? 1920*p**2 Suppose -4*n - 9 = -7*n. What is the first derivative of 2*w**2 + 3 - 8 - n wrt w? 4*w Let q(g) = -23*g**2 + 5 - 14*g**6 + 0 + 0*g**2. Let c(y) = 15*y**6 + 23*y**2 - 4. Let a(f) = -5*c(f) - 4*q(f). Find the third derivative of a(z) wrt z. -2280*z**3 Let t(f) be the first derivative of -7*f**5/60 + 11*f**4/24 - f**3/3 + 11. Let w(j) be the third derivative of t(j). Find the first derivative of w(l) wrt l. -14 Suppose -2*a = -a - 2*f - 1, 17 = -3*a - 4*f. Let g be 14/a*306/(-119). Find the second derivative of -11*x**4 + 0*x + g*x + 16*x**4 wrt x. 60*x**2 Let o(t) = -3*t + 20. Let n be o(6). What is the second derivative of -14*b + 18*b**2 + b - 5*b**n wrt b? 26 Let x(z) = 1. Let c(o) = -3*o**2 - 9*o + 9. Let l = -21 + 20. Let d(t) = l*c(t) + 9*x(t). Find the second derivative of d(b) wrt b. 6 Let m(q) = 72*q - 454. Let x(j) = 76*j - 454. Let z(t) = 2*m(t) - 3*x(t). Differentiate z(p) with respect to p. -84 Let d(b) = 14*b**4 - 10*b**2 - 6*b - 30. Let h(p) = 14*p**4 - 8*p**2 - 5*p - 29. Let r(c) = 4*d(c) - 5*h(c). Find the second derivative of r(t) wrt t. -168*t**2 Let d(v) = -110*v**2 - 4*v + 1. Let b(n) = 110*n**2 + 4*n + 1. Let a(u) = -4*b(u) - 5*d(u). Find the second derivative of a(l) wrt l. 220 Let v(k) = k**2 - 14*k - 9. Let a be v(15). What is the second derivative of a*x + 60*x**3 + 13*x - 32*x**3 + 8*x wrt x? 168*x Let o(p) = 4*p - 3*p - p + 2*p - 13. Let w be o(9). Find the third derivative of -j**2 - 3*j**6 - w*j**6 + 5*j**6 wrt j. -360*j**3 Let m(g) = -59*g**4 + 2*g**3 + 2*g + 117. Let w(n) = 119*n**4 - 5*n**3 - 5*n - 233. Let f(i) = 5*m(i) + 2*w(i). Differentiate f(h) with respect to h. -228*h**3 Let v(c) = 108*c**5 - 2*c**3 + 2*c**2 + 10*c - 5. Let f(z) = z**3 - z**2 - 2*z. Let k(s) = 2*f(s) + v(s). What is the second derivative of k(i) wrt i? 2160*i**3 Let k(o) be the third derivative of 3*o**5/20 - 7*o**4/12 - 6*o**3 + 141*o**2. Differentiate k(t) wrt t. 18*t - 14 Let j(k) be the third derivative of -25*k**7/42 + 79*k**4/24 + k**3/6 - 80*k**2. What is the second derivative of j(a) wrt a? -1500*a**2 Let g(d) = -5*d + 2. Let
{ "pile_set_name": "DM Mathematics" }
4). Let h(j) be the third derivative of 1/660*j**6 + 0*j + 0*j**4 + 0*j**3 + 0 - u*j**2 + 1/165*j**5. Factor h(t). 2*t**2*(t + 2)/11 Suppose 512/3*w**3 + 46/3*w + 4/3 - 88*w**4 - 298/3*w**2 = 0. What is w? -2/33, 1/2, 1 Let r(w) = -9*w**3 - 7*w**2 - 7*w - 7. Let x(q) = 4*q**3 + 3*q**2 + 3*q + 3. Let g(z) = 3*r(z) + 7*x(z). Find y such that g(y) = 0. 0 Suppose 6*y - y + 10 = 0. Let g be (1 - 6)*y/5. Find o, given that -8/5*o + 8/5 + 2/5*o**g = 0. 2 Let g be (-4)/4*(-5)/1. Suppose -g*d = -4*d. Find o, given that d - 4/9*o**3 + 0*o + 2/9*o**2 = 0. 0, 1/2 Let v(y) be the second derivative of y**8/1848 - y**7/1155 + y**2 - y. Let t(o) be the first derivative of v(o). What is l in t(l) = 0? 0, 1 What is g in 3/2 + 15/8*g**2 - 3*g - 3/8*g**3 = 0? 1, 2 Let s(z) be the third derivative of z**7/525 - z**6/75 + z**5/25 - z**4/15 + z**3/15 - z**2. Suppose s(i) = 0. What is i? 1 Let c(b) be the third derivative of -1/60*b**6 + 0*b - 1/105*b**7 + 1/336*b**8 + 1/24*b**4 - 7*b**2 + 1/15*b**5 + 0 - 1/3*b**3. Factor c(k). (k - 2)*(k - 1)**2*(k + 1)**2 Let x(h) be the second derivative of 4/3*h**2 - h + 0 + 49/18*h**4 - 28/9*h**3. Factor x(u). 2*(7*u - 2)**2/3 Let d(w) be the second derivative of -2/7*w**2 + 0 + 1/7*w**3 + 5*w - 1/42*w**4. Let d(i) = 0. Calculate i. 1, 2 Let b(w) be the second derivative of w**9/7560 + w**8/2100 - w**6/450 - w**5/300 - w**3/2 - 2*w. Let u(v) be the second derivative of b(v). Factor u(a). 2*a*(a - 1)*(a + 1)**3/5 Let o = 84 - 84. Let r(c) be the second derivative of -c + 1/35*c**5 + 0 + 0*c**2 + 1/105*c**6 + o*c**3 + 1/42*c**4. Factor r(z). 2*z**2*(z + 1)**2/7 Let o(v) be the first derivative of v**5/15 - v**4/2 + 13*v**3/9 - 2*v**2 + 4*v/3 + 33. Factor o(z). (z - 2)**2*(z - 1)**2/3 Let x(b) be the second derivative of 2*b**6/3 + 5*b**5/4 + 5*b**4/12 + 12*b. Factor x(u). 5*u**2*(u + 1)*(4*u + 1) Let h(c) = -c**2 - c. Let q(y) = -2*y**2 + 13*y. Let b(z) = 3*h(z) + q(z). Factor b(m). -5*m*(m - 2) Let t(n) = n**2 - 2*n + 1. Let v be t(1). Let c = -131 - -131. Let 0*h + 0*h**3 + 2/7*h**5 + v*h**2 + 0*h**4 + c = 0. What is h? 0 Let s(q) = -q**3 + 8*q**2 + 8*q + 6. Let i be s(9). Let u be 4/(-6)*(0 + i). Suppose -1/3 - 1/3*j**u + 2/3*j = 0. What is j? 1 Let o(f) = f**3 + 14. Let k be o(0). Find t, given that 18*t - 8*t**4 - t**4 - 36*t**2 - 3 + k*t**3 + 16*t**3 = 0. 1/3, 1 Let l(b) = b**2 + 1. Let p(m) = 7*m**2 + m + 8. Let n(g) = 24*l(g) - 3*p(g). Factor n(d). 3*d*(d - 1) Determine h, given that -2*h - 16*h**5 + 14*h**3 + 22*h**2 + 4*h + 61 - 63 - 20*h**4 = 0. -1, -1/2, 1/4, 1 Let k(b) be the first derivative of -1/5*b**2 + 2/3*b**3 + 14/25*b**5 - 2/15*b**6 + 0*b + 2 - 9/10*b**4. Solve k(q) = 0. 0, 1/2, 1 Suppose 2*w = 5*s - 4, 0*w + 2*w + s = 8. Let n(b) be the second derivative of 1/3*b**w + b - 1/12*b**4 - 1/2*b**2 + 0. Suppose n(m) = 0. What is m? 1 Let v(z) = -z**2 + 1. Let u(n) = -9*n**2 - 18*n - 9. Let l(c) = -c + 1. Let b be l(-5). Let h(t) = b*v(t) + u(t). Solve h(w) = 0 for w. -1, -1/5 Let w(j) = -2*j - 5. Let v be w(-4). Solve 0*t**2 + 2*t**2 + 5*t**5 - v*t**5 - 2*t**4 + 0*t**2 - 2*t**3 = 0 for t. -1, 0, 1 Suppose 0 = -j - 10*j + 33. Find u, given that -12/7*u**2 + 8/7*u**j + 8/7*u - 2/7 - 2/7*u**4 = 0. 1 Factor c - 2*c**3 - 9*c**4 + 50*c**2 - 10*c - 17*c**2 - 13*c**3. -3*c*(c - 1)*(c + 3)*(3*c - 1) Let w(p) be the third derivative of p**5/60 - 17*p**4/56 + p**3/3 - 18*p**2. Determine m, given that w(m) = 0. 2/7, 7 Let d(v) be the third derivative of 0 + 0*v - 1/36*v**4 + 0*v**3 + 1/180*v**5 - 3*v**2. Determine c so that d(c) = 0. 0, 2 Let y be 3 + ((-448)/12)/14. Suppose -y*m + 0 + 1/3*m**2 = 0. Calculate m. 0, 1 Let z = -8 + 8. Let d(t) be the second derivative of 1/30*t**4 + 0*t**2 + z + t - 1/15*t**3. Solve d(g) = 0 for g. 0, 1 Let p(t) be the first derivative of 0*t - 3/16*t**4 - 9/20*t**5 + 1/2*t**6 + 2 + 0*t**2 + 0*t**3. Solve p(n) = 0 for n. -1/4, 0, 1 Let j(m) be the first derivative of -m**7/420 + m**6/60 - m**5/20 + m**4/12 + m**3 + 3. Let i(d) be the third derivative of j(d). Factor i(a). -2*(a - 1)**3 Let d(h) = 15*h**3 + h**2 + 2*h - 3. Let u be d(2). Factor -u*b**2 + 3*b**3 + 125*b**2 - 3*b**5. -3*b**3*(b - 1)*(b + 1) Suppose 2*c = 5*n - 14, 5*n = -c + 9 + 14. Let b(m) = -m**3 - 4*m**2 - 3*m + 2. Let i be b(-3). What is h in c*h**2 + h**3 + 0*h**i - 5*h**2 + 3*h**2 = 0? -1, 0 Suppose 2*b = -b + 4*p - 20, -2*b = 4*p - 20. Let z be (2/12)/((-2)/(-8)). Factor 4/3*c**2 + b + z*c + 2/3*c**3. 2*c*(c + 1)**2/3 Let s be 2 - (3 - 3/2). Suppose 0 + 2*v**3 - 5/2*v**2 + s*v = 0. Calculate v. 0, 1/4, 1 Let h = -1/397 + 400/1191. Factor 0 - h*c**2 - 4/3*c**3 + c**4 + 2/3*c. c*(c - 1)**2*(3*c + 2)/3 Let s(o) be the second derivative of o**4/3 + 4*o**3/3 + 2*o**2 + 6*o. Solve s(k) = 0. -1 Let t(f) = -f**2 + f - 4. Let z(b) = -4. Suppose 4*j - 8 = -2*v + 6, 2*j + 4*v = -8. Let i = j - 8. Let u(l) = i*t(l) + 3*z(l). Factor u(g). 2*(g - 2)*(g + 1) Let t = 2/529 + 523/1587. Let m(f) be the first derivative of -2/15*f**5 + 1 + 0*f + 2/9*f**3 - 2/3*f**2 + t*f**4. Factor m(v). -2*v*(v - 2)*(v - 1)*(v + 1)/3 Suppose 5*b = -3*x - 2*x + 30, -8 = -4*x. Let -n + n + 6*n**2 + b*n = 0. What is n? -2/3, 0 Let f(j) be the second derivative of -j**6/60 + j**5/20 - j**3/6 + j**2/4 - 13*j. Suppose f(a) = 0. What is a? -1, 1 Let v(k) be the first derivative of -3*k**4/7 + 32*k**3/21 - 8*k**2/7 - 15. Factor v(w). -4*w*(w - 2)*(3*w - 2)/7 Let a(k) = 2*k**2 - 9*k + 7. Let j(q) = 6*q**2 - 26*q + 20. Let v(d) = 14*a(d) - 5*j(d). Let v(o) = 0. Calculate o. 1 Factor -9*p - 21/2 + 3/2*p**2. 3*(p - 7)*(p + 1)/2 Suppose s + 38 = 20*s. Determine m so that 3/4 - 1/4*m**s + 1/2*m = 0. -1, 3 Let n(l) be the second derivative of 1/180*l**5 + 2*l + 0*l**4 + 0*l**3 + 0 + 1/2*l**2. Let d(j) be the first derivative of n(j). Factor d(k). k**2/3 What is d in -11*d - 5*d**3 - 3*d - 12*d**2 + d**3 - 4 + 2*d = 0? -1 Let y be (-48)/(-9)*15/110. Find t, given that 8/11*t**3 + 2/11 - 2/11*t**2 - y*t = 0. -1, 1/4, 1 Suppose 2*m = 3*m - 2. Let y(a) be the third derivative of 0 - 1/210*a**5 + 0*a**3 + 1/42*a**4 - 1/105*a**6 + 0*a + 1/245*a**7 + 4*a**m. Factor y(f). 2*f*(f - 1)**2*(3*f + 2)/7 Let r(i) be the second derivative of -4/45*i**5 + 1/36*i**6 - 2*i - 1/9*i**4 + 0 + 0*i**3 - 1/2*i**2. Let l(u) be the first derivative of r(u). Factor l(s). 2*s*(s - 2)*(5*s + 2)/3 Suppose -j - 7 = -10. Let v(z) be the third derivative of 1/6*z**j - 1/210*z**7 + 1/60*z**6 + 0*z + 0 + 0*z**5 + z**2 - 1/12*z**4. Factor v(h). -(h - 1)**3*(h + 1) Let y(t) be the first derivative of t**4/20 + t**3/5 + 3*t**2/10 + 4*t + 1. Let b(z) be the first derivative of y(z). Factor b(o). 3*(o + 1)**2/5 Determine s so that -94*s**2 - 361*s + 18*s**2 + 16*s**3 + 473*s - 48 = 0. 3/4, 2 Let l(d) = -d**3 + 4*d**2 + 4*d + 7. Let r be l(5). Suppose -6 + 0 = -r*u. Suppose -6*n**5 + 0*n**5 - 2*n + 4*n**5 + 4*n**u = 0. Calculate n. -1, 0, 1 Let d(z) be the second derivative of -z**6/10 + 3*z**5/5 - 5*z**4/4 + z**3 + 2*z. Solve d(n) = 0 for n. 0, 1, 2 Let u(x) = 20*x**4 - 2*x**3 - 18*x**2 - 18*x. Let z(a) = a**4 - a**2 - a. Let f(k) = -2*u(k) + 36*z(k). Let f(q) = 0. Calculate q. 0, 1 Let p(f) = -f**3 - 43*f**2 + 85*f - 225. Let x be p(-45). Determine z, given that -14/5*z**5 - 38/5*z**4 + x - 6*z**3 + 4/5*z - 2/5*z**2 = 0. -1, 0, 2/7 Let y(g) be the second derivative of -3*g + 0 + 0*g**4 + 1/21*g**7 - 2/15*g**6 + 0*g**3 + 0*g**2 + 1/10*g**5. Determine q so that y(q) = 0. 0, 1 Factor -3/4*t**3 + 3/4*t - 3/4*t**2 + 3/4. -3*(t - 1)*(t + 1)**2/4 Let r(m) = 9*m**3 - 9*m**2 - 6*m + 6. Let y(p) = p**3 - p**2 - p + 1. Let t(u) = -r(u) + 6*y(u). Factor t(a). -3*a**2*(a - 1) Suppose 3*c = -2*c - 3*o + 12, -5*o = -c - 20. Factor -1/2*h**2 + 0*h + c. -h**2/2 Let u(n) = 5*n**3 + 23*n**2 - 13*n + 9. Let w(l) = 2*l**3 + 8*l**2 - 4*l + 3. Let p(s) = -3*u(s) + 8*w(s). Factor p(r). (r - 3)*(r - 1)**2 Factor q**3 + 4*q**4 + 2*q**3 - 4*q**2 - 3*q**3. 4*q**2*(q - 1)*(q + 1) Let o(c) be the second derivative of c**5/140 - c**3/42 + 13*c. Determine n so that o(n) = 0. -1, 0, 1 Find n such that 2/3*n + 0 - 4/9*n**2 - 2/9*n**3 = 0. -3, 0, 1 Let g(f) be the third derivative of f**6/40 + 9*f**5/20 + 3*f**4 + 8*f**3 + 19*f**2. Find v, given that g(v) = 0. -4, -1 Let t(h) be the second derivative of -2*h**7/21 - 2*h**6/15 + 2*h**5/5 + 2
{ "pile_set_name": "DM Mathematics" }
t x = o - 7/2139. What is the common denominator of 48/13 and x? 130 Let f = -2678 - -37469/14. What is the common denominator of f and (275/77)/(4/(-7)*3)? 84 Let b = -142637 + 1074769793/7535. Let j = 670679/241120 + b. Find the common denominator of j and 162/16*(-20)/(-105). 224 Suppose 4*w - 2*w - 82 = 0. Let p = w + -29. Suppose -5*b + 2*b + 11 = 4*y, -5*y + p = 2*b. What is the lowest common multiple of y and 18? 18 Let t = 129622589/759061308 + -2/1036969. Find the common denominator of t and 95/16. 2928 Let h be (-9)/(9/(-3)) - -15. Let v be (-9)/h*-6*8. Calculate the common denominator of 425/v - 6/(-48) and 1/9. 18 Let o(u) = -u**2 - 6*u + 1. Let d be -1*(2 - 2 - 1)*1. What is the least common multiple of o(-5) and (d - (-10)/(-15))*(8 + 1)? 6 Suppose -2*i = 2*n - 2, -2*n + n = -4*i - 1. What is the least common multiple of 258 and n? 258 Let y = -8625 + 103435/12. Let c = 6861/20 + -344. What is the common denominator of y and c? 60 Let l(y) be the first derivative of y**2/2 + 27*y - 20. What is the smallest common multiple of 18 and l(-3)? 72 What is the common denominator of -5/68 and -4 - (35/10*9 - -1)? 68 Suppose -3*h - 49 = -2*s, -2*s - 2*h + 27 = -7. What is the least common multiple of s and 20? 20 Let o be (-15)/(-25)*45*1. Suppose -3*y = 3 - o. What is the common denominator of 85/6 and 150/y*1 - -4? 12 Suppose 5*r - 12 = -0*k - 2*k, -12 = 3*k. Let g(s) = -61*s**2 + 5*s + 2. Let d be g(r). Let c = 9523/10 + d. What is the common denominator of 19/11 and c? 110 Let n = -29 - -123. Let r = -83 + n. Calculate the least common multiple of r and (-1)/3 - (-28)/3. 99 Find the common denominator of 5/66 and -9*(-6)/(-36)*31/(-132). 264 Let t(d) = -41*d**2 - d - 8. Let j be t(-4). Calculate the common denominator of (9/24)/((-63)/j) and -1/20. 140 Calculate the smallest common multiple of 749 and (-1*(-1)/(-2))/(15/(-330)). 8239 Let h = 8 - -12. Let k(v) = -v**3 - v**2 + v - 1. Let p be k(0). Calculate the least common multiple of h and ((-4)/8)/((-4)/(-112))*p. 140 Suppose -5*d + 2*u = 3*u - 3, -3*u = 2*d + 4. Calculate the common denominator of -75/14 and d - 5 - -7 - (-747)/(-282). 658 Let z(m) = 2*m**3 + 28*m**2 - 25*m + 22. What is the lowest common multiple of z(-14) and 8? 744 Let s(m) = -m**3 + 5*m**2 + 1. Let r be -3 + (-2)/(-2) - -7. Suppose 3*p + 2*b - 37 = 0, 0*b = -3*b + 15. What is the least common multiple of s(r) and p? 9 Let z(r) = -r + 10. Let q(m) = m**2 - 3*m - 12. Calculate the least common multiple of q(-4) and z(8). 16 Let a(u) = -23*u**2 + 5. Let v be a(2). Let h = v + 109. What is the lowest common multiple of h and 12? 132 Suppose -4 = 2*h - 12. Suppose 15 = h*o - 17. Suppose -3*a + 63 = 45. Calculate the smallest common multiple of a and o. 24 Let y(v) be the third derivative of v**5/20 + v**4/12 - 2*v**3/3 + 12*v**2. What is the least common multiple of y(-4) and 4? 36 Suppose -6*p - 7 = -25. Suppose -15*t = -p*t - 24. What is the least common multiple of 4 and t? 4 Let t be ((-17)/2)/((-4)/(-8)). Suppose 4*m + 2 + 22 = 0. Let j = m + t. Calculate the common denominator of -37/9 and j. 9 Calculate the common denominator of (-6)/((-6336)/(-4866)) - -5 and 5/6. 528 Let c(p) = p**3 + 7*p**2 + 7*p - 3. What is the lowest common multiple of 18 and c(-5)? 36 Suppose 7*t - t = 144. What is the smallest common multiple of t and 8/20 - ((-153)/5 - 2)? 264 Suppose -2*k + 24 = 2*i, 4*i - 4*k = -0*k + 48. Let n = i - 12. What is the least common multiple of (-1 + n)/(1/(-5)) and 10? 10 Let k be (63/(-12))/(12/(-32)). Let f be k/6 + 4/(-12). Suppose -3*l + 62 = -f*q, -l = -3*l - 2*q + 48. Calculate the smallest common multiple of l and 14. 154 Let u = 14221/6 + -2350. Find the common denominator of 37/192 and u. 192 Calculate the common denominator of -1*2/7 + 866/(-56) and (8925/(-972))/17 + 2/(-8). 324 Suppose -3*w + 9 = 0, -2*w = 3*l - 6*w + 234. What is the common denominator of (2/((-4)/l))/(-11) and 3/(-6) - (-3)/10? 55 Suppose -102 = -4*m + 3*n, -n - 3*n = -m + 19. Let u = -11 + m. What is the lowest common multiple of 4 and (-2)/4 - (-72)/u? 4 Let z(h) = -12*h - 1. Let s(n) = 23*n + 1. Let i(o) = 3*s(o) + 5*z(o). Calculate the least common multiple of i(1) and 7. 7 Let r = 1338 + -947. Let l = 1112/3 - r. Let y = -11751/238 + -15/119. Find the common denominator of y and l. 6 Suppose 0 = 4*h + h + 20. Let f be 182/10 - h/5. What is the least common multiple of 9 and (-4)/(-6) - f/(-3)? 63 Let h(b) = -b + 20. Let f be h(14). Suppose -f*l + 2*l = -48. Calculate the smallest common multiple of l and 60. 60 Let l(a) = -a + 21. Let p be l(13). Find the common denominator of -95*((-4)/p)/(-1) and -105/22. 22 Let l = -3483 - -27795/8. Calculate the common denominator of l and ((-46)/8)/((-5)/(-4)). 40 Let g = 86 - 56. Suppose 3*o - g = 2*i, -3*o - i = i - 18. Suppose 84 = 12*n - 180. What is the smallest common multiple of n and o? 88 Let h be (-66554)/(-2 + 126/15). Let d = h + 10405. Find the common denominator of d and -87/2. 16 Let h(d) = -46*d - 279. What is the least common multiple of 21 and h(-9)? 945 Let n be (26/8)/(3*(-12)/38176). Let b = n + 3443. Find the common denominator of b and -173/30. 90 Let q = 15/271 - -11217/2981. Suppose 4*c - 3 = 3*p + 4, 5*p = 15. Calculate the common denominator of q and ((-444)/45)/c*-1. 165 Suppose -12*c = -40 - 200. Calculate the smallest common multiple of 62 and c. 620 Let o = 27343/1768 - 20/221. Let y be (-2)/(-7) - 405472/19712. Let c = o + y. Find the common denominator of c and 13/11. 11 Let f = -3/608 + 43577/21280. Calculate the common denominator of f and 43/14. 70 Let z be (-111)/12*(-41)/14. Let a = z + -215/7. Let m = -18929/9 + 2106. Find the common denominator of a and m. 72 Let b(a) = -a**2 + 7*a + 19. Let f be b(-7). Let g = f - -83. Suppose -2*s = -3*c + 27, -3*c + 36 = -s + 2*s. What is the smallest common multiple of c and g? 44 Let d = -189928315 - -1838506086207/9680. Let x be 8/92 + 30144/(-333960). Let u = x + d. What is the common denominator of u and -79/18? 144 Let k(y) = -3*y + 62. Suppose -5*v + 0 = -5*q - 10, -2*q + v - 1 = 0. Calculate the smallest common multiple of q and k(18). 8 Let l = 2/20889 + 109069/188001. Find the common denominator of 71/72 and l. 648 Calculate the common denominator of -109/40 and (-1 - (-23888)/24320)*(-4)/(-6). 760 Let b(n) = n**2 + 19*n + 23. Let c be b(-18). Suppose 2009 + 2776 = -c*l. Let x = 1975/2 + l. What is the common denominator of x and 27/2? 2 Let g = 20 + -24. Let t = -471/130 - -3/130. What is the common denominator of 3 + (-144)/(-20) + g and t? 5 Calculate the common denominator of 7/4 and 24/(-15)*10/44. 44 Suppose -6 = 2*k - 3*k. What is the lowest common multiple of 111/15 + -7 - (-176)/10 and k? 18 What is the common denominator of (-14)/6 - (-131750)/57300 and -97/8? 1528 Let a = 14 + -13. Let l = -49 + 53. What is the smallest common multiple of l and a? 4 Let r = -1427/2 - -697. Calculate the common denominator of r and -11/78. 78 Let p be ((-1)/2)/(1/(-6)). Suppose -c - 8 = -p*c. Suppose -3 - 2 = -2*y + g, 4*y + c*g - 40 = 0. Calculate the lowest common multiple of 2 and y. 10 Suppose 0 = -2*t - 53 - 13. Let b be (2 - -9)*(644/316 + -2). Let c = -4687/316 - b. Find the common denominator of t and c. 4 Calculate the common denominator of -11 - -5 - 984/(-147) and 163/126. 882 Let h = 693 - 535. What is the smallest common multiple of h and 20? 1580 Let w = -510791/42 - -12163. What is the common denominator of w and -131/126? 126 Suppose 2*b + 2*b - 40 = 0. Find the common denominator of (5/(-7))/(14/21) and ((-133)/(-27))/(b/15). 126 Let i = 7288/4081 + 12/371. Calculate the common denominator of -31/37 and i. 407 Let m = -98888/75 - -1318. What is the common denominator of m and 109/60? 300 Let g be 5/(-10) - (-25)/(-2). Let b = 49 + g. What is the lowest common multiple of b and -3 + 0 - (95 + -102)? 36 Let i = 9067/576 - -5/576. Let w be 3/9 - (-2 - (-849)/(-180)). Let v = w + -39/4. Find the common denominator of i and v. 20 Let a(u) = -u**3 + 14*u**2 - 15*u + 18. What is the least common multiple of 54 and a(12)? 378 Let h = 71 + -41. What is the smallest common multiple of (3 - 0)/(9/18) and h? 30 Let j(r) = -r**3 - 9*r**2 - 30*r + 28. What is the least common multiple of 19
{ "pile_set_name": "DM Mathematics" }
t r = 3.02 + 0.38. Let f = -0.6 - r. What is the nearest to -0.4 in -0.4, f, m? -0.4 Let r = -8 + 6. Let o = 49/5 + -10. What is the nearest to r in 5, o, -5? o Let m = 6.11 + -0.11. Let g = 5 - m. Which is the nearest to 0? (a) 4/9 (b) 0.3 (c) g b Suppose -d = -6*d. Which is the closest to d? (a) 3 (b) 0.1 (c) -1/2 b Let z(q) = 6*q + 66. Let l be z(-11). Let h(m) = -m + 3. Let i be h(4). Which is the nearest to -5? (a) i (b) 5 (c) l a Let l = 101 - 304/3. Let s = -1.6 + -0.4. Which is the nearest to s? (a) -2/5 (b) l (c) -2 c Let s = -9.1 - -9. Which is the closest to s? (a) -0.1 (b) 5 (c) 2/7 a Let n = -11 - -12.8. Let t = n + -2. Let x(y) = y**2 - 5*y + 2. Let z be x(5). Which is the closest to -1/4? (a) z (b) t (c) 1/9 b Suppose 0 = -5*n + 2*f + 19, -25 = -2*n - 3*n + 5*f. What is the closest to -1 in 0.5, n, -1? -1 Let o = -8.4 - -8. Let c be -2 - 3*(-2)/(-6). What is the nearest to 0.1 in 1/11, o, c? 1/11 Suppose -3*i - 2*i = -270. Let s be i/42 - (2 + -1). What is the nearest to s in 5, 2/15, 0? 2/15 Let l = -1.12 - -0.12. What is the closest to 0.1 in -0.1, l, -3/7? -0.1 Let k be (1/(-1))/((-6)/(-18)). Which is the nearest to 2? (a) k (b) 4 (c) -1/6 b Let o = 3.12 + -3.4. Let p = 2.72 - o. Let y be (0 + -1)/((-4)/6). What is the nearest to p in y, -0.2, -4? y Let u = -0.15 + -0.75. Let j = 1 + u. Which is the closest to j? (a) -2 (b) 0.2 (c) -3 b Let y = 117 + -117. Which is the nearest to 3? (a) y (b) -1 (c) 5 c Suppose -5*q = -0*q - 40. Suppose 3 = -q*u + 7*u. Let t = -0.3 + 0.4. Which is the closest to t? (a) u (b) -4 (c) -0.3 c Let j = -62 - -62.1. Which is the nearest to j? (a) 0.2 (b) 0.4 (c) 5 a Let p be -4 + 9/6*(-8)/12. Which is the nearest to -0.5? (a) 0.1 (b) -4 (c) p a Suppose -4 = 4*i - 2*i. Let q = i + 7/2. What is the closest to 1/2 in 1, 4, q? 1 Let r = -226 - -909/4. Let u = -5 - -3. Which is the closest to -0.1? (a) 2/15 (b) u (c) r a Let l(o) = -2*o**3 + 9*o**2 - 6*o + 3. Let i be l(4). Which is the closest to -0.3? (a) 2/13 (b) i (c) -0.3 c Suppose -4*l = -2*l - 6. Let f be 9/(-6)*(-4)/3. Let h = l - f. Which is the closest to h? (a) 1 (b) -1 (c) 5 a Let m = 0.3 + 0.2. What is the nearest to 2/13 in m, -3, -2? m Let w(i) = -5*i**2 + 1. Let g be w(1). Let y = -11 + 11.2. Which is the closest to -3? (a) g (b) 4 (c) y a Let r = -0.0416 - 1.9684. Let q = r - -0.01. What is the closest to q in -2, -0.3, -3? -2 Suppose 2*z + 4 = -2. Let o = -0.03 - -0.1. Let k = -0.07 + o. What is the nearest to k in z, -0.4, 2? -0.4 Let s = -12.4 - -12.3. Which is the nearest to -1? (a) s (b) -1/4 (c) 39 b Let f = -0.09 + 2.09. What is the closest to -0.1 in 0, f, 0.3? 0 Let m be ((-3)/9 - -1)*9/3. Which is the nearest to m? (a) 0.06 (b) 2 (c) -3 b Let m be -12*(-3)/297*7. Let g = -2/11 + m. Which is the closest to g? (a) -0.1 (b) -2 (c) 3/7 c Let u = 107/165 - -1/55. Let o(z) = -2*z + 7. Let y be o(5). Which is the nearest to 2? (a) y (b) 4 (c) u c Let q = -1.06 - -1. Let i = 0.16 + q. Which is the nearest to i? (a) 1/8 (b) 0 (c) -4 a Let m be 2/15 + (-54)/180. Which is the closest to -2? (a) -3 (b) 1/3 (c) m a Let d = 0.1 + -5.1. Let n = 0.4 + -0.4. Let s = n - -1. Which is the nearest to s? (a) -4 (b) 3 (c) d b Let f = -0.2 - -0.2. Let z = -32 + 27. What is the nearest to f in 0, -1/7, z? 0 Let t = 5 - 7/2. Which is the nearest to -0.2? (a) -5 (b) 4 (c) t c Suppose 5 - 14 = 4*g + 3*w, 2*g + 2*w = -6. Which is the closest to 1/2? (a) g (b) 2/15 (c) 2/11 c Let q = -0.333 - -0.033. What is the closest to q in 0, -0.1, -1/3? -1/3 Let p = -0.6 + 1.01. Let s = -0.11 + p. What is the nearest to -0.3 in s, -1, 0? 0 Let x = 939/5 + -186. Let f = -17/15 + x. Which is the closest to 2? (a) 0.4 (b) f (c) -0.4 b Let y be (-3)/15 - (27/(-10) - -2). What is the closest to y in 1/4, -3, 0.2? 1/4 Let j be (2*(-3)/(-6))/1. What is the nearest to j in -2/17, 0, 1? 1 Let f = 1157/7 - 165. Which is the closest to f? (a) 0.1 (b) 2 (c) 0.3 c Suppose t = 5*t - 4. Let r = -2 + 3. Which is the nearest to r? (a) 0.2 (b) 1/4 (c) t c Let c = -1.3 - 4.7. Let y = c - -5.9. What is the nearest to y in 2/5, -4/3, -4? 2/5 Let v = 4785/16 + -299. Let b(q) = q**2 - 5*q + 2. Let t be b(5). What is the closest to v in 2/9, t, 1? 2/9 Let r = -34 - -32. Let y = -0.1 + 0.1. Let t = y + 0.3. Which is the closest to r? (a) t (b) 0.1 (c) 4 b Let y be 25/10*(-1 + 3). What is the closest to 0.1 in 1/4, y, 1? 1/4 Suppose 5*r + 2*n - 6*n - 19 = 0, 0 = 4*r + 4*n - 8. Let w = 6.1 + -6. Which is the closest to -2/5? (a) r (b) w (c) 0 c Let u = -0.52 + 0.52. Which is the closest to -0.1? (a) -2 (b) 2 (c) u c Let k = 15.8 + -11.8. Which is the nearest to 0? (a) k (b) -5 (c) -2 c Let h = 16/21 + -2/21. Let s be (96/35)/((-2)/40). Let i = 55 + s. What is the closest to 1 in h, 5, i? h Let l be (3/(-2))/((-48)/160). Which is the nearest to 0.2? (a) l (b) -1 (c) 1/4 c Let j be (2 - 32/6) + (-24)/36. What is the nearest to 1 in -4/5, j, -3? -4/5 Let w(g) = -g + 11. Let x be w(12). Let m = 4 + -6. Which is the nearest to x? (a) 1/8 (b) -0.2 (c) m b Let q(p) = p**2 - 6*p - 6. Let k be q(6). Let j(v) = v**2 + 8*v + 6. Let d be j(k). Which is the closest to -0.1? (a) d (b) -1/4 (c) -5 b Let g = -1/126 + -121/630. Let x = -0.8 + 1.02. Let y = x - -4.78. What is the nearest to 1 in g, -0.4, y? g Let j(y) = 2*y**2 - y - 1. Let v be j(-1). Let o = 0.06 + 0.44. Which is the closest to -1/4? (a) v (b) 1 (c) o c Let p = -126 + 130. What is the nearest to 1 in -12, p, -1? -1 Let k be (-2)/(-10) + 63/(-165). Let v = -57/7 - -8. Let g = 88/3 + -29. What is the closest to g in v, k, 2/3? 2/3 Let g = -5 - -2. Which is the nearest to 3? (a) g (b) -0.5 (c) 1/6 c Let j = 0.34 + -0.74. Which is the closest to 2? (a) 1 (b) -1/2 (c) j a Let h = -0.041 - 0.459. What is the nearest to -0.1 in -1, -2/5, h? -2/5 Let f = 1.11 - 1.51. Suppose 0 = 5*m + 4*u - 22, 2*m - 7*m + 5*u = 5. Which is the nearest to m? (a) 5 (b) -4 (c) f c Let w = 199/4 - 50. Let x = -1 - 2. Let o = x - -2. Which is the nearest to o? (a) 0 (b) 0.2 (c) w c Let o be (-4 + -1)*16/20. Which is the nearest to 6/11? (a) -2/5 (b) o (c) 3 a Let o be ((-8)/(-6))/(-4)*-2. Let x = 5.106 + -0.006. Let k = 5 - x. What is the closest to k in -1/5, 2, o? -1/5 Let t = 6.649 - -0.051. Let q = t + -7. Which is the closest to 1? (a) q (b) 1 (c) 5 b Let j = -0.3 - 1.7. Let s = 0.01 + -0.51. Let m = -0.04 - -0.44. Which is the nearest to -1/4? (a) m (b) j (c) s c Let q(w) = w**2 - 7*w - 10. Let r be q(7). Let s be ((-2)/r)/((-4)/(-30)). Let h = 1/59 - -51/472. What is the nearest to -2 in h, s, 0.5? h Let h(u) = 2*u - 30. Let l be h(13). Which is the nearest to 1? (a) l (b) 3 (c) 0.2 c Let k be 20/35 - 2/7. Suppose -o + 4*q = -3*o + 16, 9 = -3*o + 5*q. Let j be (0 - 1)*(-5)/(-20). Which is the closest to k? (a) 0 (b) j (c) o a Suppose -3*v + 0*v + f - 16 = 0, 3*v + 5*f + 10 = 0. Let q = 9 + -5. What is the nearest to -1 in -1, q, v? -1 Let x = 0.7 - 2.9. Let f = -2 - x. Let g = -0.1 - 0. Which is the nearest to f? (a) 3/5 (b) 2 (c) g c Suppose -i = -2 + 11. Let b be ((-6)/i)/(3/(-9)). Let h be (-2 - (1 - 4))*1. What is the closest to h in 2/5, 2, b? 2/5 Let s = -153 + 156.02. Let a = s + -0.02. Let o(b) = 3*b**2 - 5*b + 3. Let c be o(2). What is the nearest to -2 in 2, c, a? 2 Let o = -11 - -11.1. Let h = 2.9 + -3. What is the closest to h in 0, -0.5, o? 0 Let q = 20 - 20. What is the closest to 0.2 in 1/3, -4/3, q? 1/3 Let z = 1733885/78 - 22229. Let p = 1/26 + z. Let f = -0.17 - -0.47. Which is the nearest to p? (a) f (b) -4 (c) -2 a Let g = 4 - 3.9. Let a = 2.4 + -12.8. Let d = 10 + a. What is the nearest to g in d, -1/7, -2/19? -2/19 Let x = -819/10 - -82. Let g = 14 + -9. Let o be 1/3*4/(-6). What is the nearest to o in g, x, 2/11? x Suppose 0 = -0*n + n + 2. Let k be n + 0/1 + 3. Suppose -3*r + 27 = -4*v, -3*v + r - 10 = 4. Which is the nearest to k? (a) 4/9 (b) 1 (c) v b Let q = 4.7 - -0.3. Let m = -4.8 + q. Which is the nearest to -2/3? (a) 0.1 (b) m (c) 1 a Suppose 3*j - 21 = -9. Suppose -3 = 2*m - 3*o, 3*o = -m + j*o. Let p be m - (45/4)/3. Which is the nearest to 1? (a) -2 (b) -3 (c) p c Let n(k) = k +
{ "pile_set_name": "DM Mathematics" }
lse Is 31 a factor of 2483162? True Does 25 divide 222596? False Is 86 a factor of 1351521? False Is 80 a factor of 162495? False Does 2 divide 56587? False Is 366 a factor of 644799? False Does 3 divide 38397? True Is 155 a factor of 218861? False Does 17 divide 1962760? False Is 95 a factor of 273290? False Does 255 divide 310443? False Is 1131450 a multiple of 57? True Does 204 divide 1573452? True Is 429715 a multiple of 11? True Does 279 divide 275439? False Is 30683 a multiple of 115? False Is 92064 a multiple of 48? True Does 745 divide 9822759? False Is 625 a factor of 145000? True Is 138339 a multiple of 20? False Does 34 divide 9634886? True Is 7 a factor of 1628455? False Does 403 divide 699166? False Is 10 a factor of 1347744? False Is 392273 a multiple of 20? False Is 176984 a multiple of 18? False Is 75020 a multiple of 44? True Is 125983 a multiple of 13? True Is 20 a factor of 2900960? True Is 677731 a multiple of 30? False Is 228 a factor of 4476636? False Is 46 a factor of 217241? False Does 225 divide 109575? True Is 55770 a multiple of 143? True Is 225262 a multiple of 59? True Is 4905568 a multiple of 37? False Is 4265070 a multiple of 15? True Does 8 divide 22768? True Is 1298 a factor of 1242186? True Is 231030 a multiple of 151? True Is 3050416 a multiple of 166? True Is 411 a factor of 516216? True Is 105 a factor of 1110264? False Is 10710 a multiple of 3? True Is 395 a factor of 200382? False Is 284739 a multiple of 91? True Is 1849940 a multiple of 12? False Is 6208646 a multiple of 1245? False Is 68030 a multiple of 7? False Does 84 divide 141133? False Is 174 a factor of 9344? False Does 7 divide 2298786? True Is 22 a factor of 40043? False Is 123 a factor of 85239? True Does 292 divide 6492851? False Is 172 a factor of 638016? False Does 121 divide 202528? False Does 397 divide 1016320? True Does 274 divide 1749094? False Is 218448 a multiple of 9? True Is 110 a factor of 323091? False Is 631968 a multiple of 348? True Is 566989 a multiple of 21? False Is 14 a factor of 101556? True Does 18 divide 680311? False Does 562 divide 4377466? False Is 1824 a multiple of 38? True Is 1098 a factor of 5399964? True Is 16 a factor of 71805? False Does 33 divide 4811037? True Is 176891 a multiple of 17? False Is 2 a factor of 551389? False Is 448 a factor of 117824? True Is 538 a factor of 3548847? False Is 56 a factor of 498053? False Does 54 divide 7317702? True Does 5 divide 155867? False Is 2400378 a multiple of 1747? True Is 11746 a multiple of 14? True Does 7 divide 13091? False Is 4 a factor of 7205? False Does 36 divide 609696? True Is 11 a factor of 79345? False Is 1116483 a multiple of 54? False Is 8 a factor of 22878? False Is 608220 a multiple of 436? True Is 40 a factor of 270740? False Is 5789628 a multiple of 417? True Is 5603033 a multiple of 61? True Is 418324 a multiple of 4? True Is 359 a factor of 184885? True Is 1668333 a multiple of 9? False Is 6188968 a multiple of 9? False Does 38 divide 204887? False Is 27 a factor of 29866? False Does 18 divide 2193804? True Is 69 a factor of 902727? True Does 905 divide 1087810? True Is 239505 a multiple of 105? True Is 1446 a factor of 4982916? True Does 843 divide 3886252? False Is 1829088 a multiple of 348? True Is 1674963 a multiple of 11? False Does 10 divide 10076? False Is 550487 a multiple of 17? False Is 78 a factor of 476658? True Is 30940 a multiple of 52? True Is 80 a factor of 1313600? True Is 2 a factor of 566730? True Does 61 divide 215696? True Does 56 divide 1087800? True Is 2006940 a multiple of 498? True Is 271 a factor of 61246? True Does 104 divide 3329768? True Does 56 divide 345016? True Is 23470 a multiple of 3? False Does 310 divide 10458470? True Is 1848631 a multiple of 26? False Does 14 divide 249201? False Is 2270884 a multiple of 166? False Does 121 divide 11315355? False Is 61 a factor of 874618? True Is 9 a factor of 220788? True Is 64 a factor of 345511? False Does 77 divide 160776? True Is 13 a factor of 248421? False Is 411860 a multiple of 4? True Is 18522000 a multiple of 630? True Does 9 divide 45180? True Is 30251 a multiple of 13? True Is 10977005 a multiple of 156? False Does 66 divide 203412? True Is 27 a factor of 381891? False Does 52 divide 3370224? True Is 5 a factor of 9720? True Is 2 a factor of 308737? False Is 8262 a multiple of 61? False Does 416 divide 7737306? False Is 913115 a multiple of 931? False Is 297560 a multiple of 173? True Is 165642 a multiple of 181? False Is 973350 a multiple of 150? True Does 272 divide 322048? True Is 127004 a multiple of 9? False Is 213 a factor of 264482? False Does 213 divide 25635828? True Is 32530 a multiple of 10? True Is 21 a factor of 3401133? False Is 118663 a multiple of 7? False Does 5 divide 2113578? False Is 157 a factor of 489997? True Does 21 divide 242718? True Does 136 divide 116662? False Is 87 a factor of 50547? True Is 182 a factor of 3173288? False Is 152 a factor of 97550? False Is 30 a factor of 188670? True Is 1680 a multiple of 12? True Is 44 a factor of 983073? False Is 424925 a multiple of 23? True Does 61 divide 66405? False Is 437813 a multiple of 29? True Is 223400 a multiple of 40? True Does 98 divide 92352? False Does 385 divide 49968? False Is 83258 a multiple of 203? False Is 13 a factor of 374645? False Is 108283 a multiple of 388? False Is 383360 a multiple of 8? True Does 14 divide 8461544? True Is 9 a factor of 466200? True Is 547310 a multiple of 239? True Is 405 a factor of 164593? False Does 413 divide 15034439? True Does 400 divide 4297200? True Is 128 a factor of 307070? False Is 122 a factor of 92331? False Is 399087 a multiple of 192? False Is 200 a factor of 162600? True Is 840 a factor of 3507878? False Is 541 a factor of 2142901? True Is 987624 a multiple of 172? True Is 1280 a factor of 18551040? True Is 177 a factor of 8142? True Does 7 divide 364120? False Does 1154 divide 5326864? True Is 210056 a multiple of 28? True Is 45 a factor of 251420? False Is 5279700 a multiple of 310? False Is 146 a factor of 3645907? False Is 334 a factor of 19488? False Does 10 divide 345530? True Is 2576629 a multiple of 103? False Does 29 divide 1635359? False Is 90182 a multiple of 121? False Is 5614500 a multiple of 25? True Is 5659853 a multiple of 1271? False Is 50 a factor of 1254317? False Is 47 a factor of 4363339? True Does 28 divide 6440? True Does 22 divide 300344? True Is 18 a factor of 58093? False Does 481 divide 122655? True Is 368212 a multiple of 22? False Is 2805443 a multiple of 93? False Does 271 divide 447421? True Does 10 divide 260590? True Is 376090 a multiple of 55? True Is 692788 a multiple of 386? False Is 395640 a multiple of 60? True Is 184084 a multiple of 8? False Is 667102 a multiple of 43? True Is 50 a factor of 85626? False Does 231 divide 140569? False Does 11 divide 84304? True Does 147 divide 886236? False Is 80117 a multiple of 113? True Is 189 a factor of 2281797? True Is 101 a factor of 10722014? False Does 149 divide 128596? False Is 22 a factor of 355938? True Is 20 a factor of 128680? True Is 1449375 a multiple of 25? True Does 70 divide 1715700? True Is 539941 a multiple of 37? True Is 2749911 a multiple of 123? True Is 955620 a multiple of 4? True Is 95 a factor of 6285712? False Is 681208 a multiple of 17? False Does 292 divide 725036? True Is 11874 even? True Is 120 a factor of 1223150? False Is 16 a factor of 256? True Does 66 divide 109981? False Does 120 divide 21960? True Is 170496 a multiple of 96? True Is 3630 a multiple of 30? True Does 130 divide 175240? True Is 2684416 a multiple of 8? True Does 37 divide 9731? True Does 21 divide 2966223? False Does 377 divide 680461? False Is 18 a factor of 12485228? False Is 15 a factor of 52422? False Does 1423 divide 21200443? False Is 12 a factor of 1248? True Is 453781 a multiple of 95? False Is 627837 a multiple of 91? False Is 280126 a multiple of 22? True Does 45 divide 114120? True Is 42 a factor of 75096? True Is 6 a factor of 40830? True Does 255 divide 555390? True Does 542 divide 237384? False Does 948 divide 8406864? True Does 34 divide 63546? True Is 3 a factor of 24861? True Is 462 a factor of 320913? False Does 144 divide 2432700? False I
{ "pile_set_name": "DM Mathematics" }
1)*f)*f))/(f*f*f*f*f/(f/((f/(f*(f*(f/(f**12/f))/f)/f*f))/f)))*f**2*f**4/f*f*f*f assuming f is positive. 1/f Simplify ((m**(-4)/m)/m)**31/(m**7/m*m*(m/(m/(m**11*m)))/m) assuming m is positive. m**(-204) Simplify (d/(d*d*d/(d*d**(-2))))**(-1/18)/((d/((((d**15*d)/d*d)/d)/d))/(d*d**(6/11))) assuming d is positive. d**(971/66) Simplify (m**(2/7)/m*m)**(4/15)/(m**(-1))**(1/23) assuming m is positive. m**(289/2415) Simplify f**(2/3)*f**(-6/5)*f*(f**(-1/4)*f)**(2/115) assuming f is positive. f**(331/690) Simplify v**(-16)*v**14/v*(v**(2/11))**(-3/35) assuming v is positive. v**(-1161/385) Simplify ((q/(q/(((q*q**(-1/2)/q)/q)/q))*q/(q*q/q**(5/7)))**47)**(-9/7) assuming q is positive. q**(16497/98) Simplify (u/u**(-2/37))/(u*u/(u**6*u)*u)*(u/u**0)/(u**(-2/15)/u) assuming u is positive. u**(3989/555) Simplify (b**(-2/17))**(-34)*b*(b**3/b)/b*b*b**(3/11)/b assuming b is positive. b**(69/11) Simplify (i/(((i/((i/(i/(i*i**(-9))))/i*i))/i)/i)*i**(3/10))/(i/i**(-1)*i**(-2)) assuming i is positive. i**(-57/10) Simplify (a/(a/(a**(-1/18)*a*a)))/(a**(-16)*a)*(a**(-7/6)*a)**33 assuming a is positive. a**(103/9) Simplify ((i*i**(1/4))/i**(-2/19))/(i**(-15/4)/(i/(i/i**(-2/53)))) assuming i is positive. i**(5103/1007) Simplify ((b*b/(b**(1/13)/b)*b)/(b/((b*b*b*b**(-18)*b*b*b*b)/b)))/(b*b*(b**(-5/6)*b)/b*b*b/(((b/(b/b**(-3/20))*b)/b*b)/b)) assuming b is positive. b**(-9667/780) Simplify (((c*c/c**(-1/2))/c)/c)/(c/c**(-1))*(c**1)**35 assuming c is positive. c**(67/2) Simplify ((v/v**20)/v)/v**(3/14)*v**4/((v/v**11)/v) assuming v is positive. v**(-73/14) Simplify (p**(-6/11)/p)**(-4/13)/(p**(3/4)*p**17*p) assuming p is positive. p**(-10453/572) Simplify ((o*o**(2/3)*o)/o*o**7*(o/(o/(o/(o*o**(2/35)))))/(o/o**(-8)))**(4/9) assuming o is positive. o**(-164/945) Simplify (f**1)**(17/4)*((f*f/(f**(1/5)*f))/f)**(-27) assuming f is positive. f**(193/20) Simplify (g**(1/2))**(4/5)*g**(-1/3)*g/(g/g**(-1/5))*g assuming g is positive. g**(13/15) Simplify (h*(h*(h/(h/(h/h**(-3/2))*h))/h*h)/h)**(3/11)/(h**4)**3 assuming h is positive. h**(-249/22) Simplify (((b/b**1)/b)/b)**12*(b**(-7)/b)/b**(-4) assuming b is positive. b**(-28) Simplify (h*h/(h*h*(h/h**29)/h)*(h*h*h**(-23))/h)/(h**12/(h/(h/h**(-8)))) assuming h is positive. h**(-13) Simplify ((f/(f*f/f**(-2/23)))/f)/f**(1/2)*(f**(-2))**41 assuming f is positive. f**(-3891/46) Simplify (c**(-5))**(-5/11)*c**(-1/6)/(c*c**(-2)*c) assuming c is positive. c**(139/66) Simplify ((j**5/j*j**(-2/39))**(-3/13))**33 assuming j is positive. j**(-5082/169) Simplify ((((m**1/m)/m)/(m/m**5*m))/(m**(-2))**12)**(16/9) assuming m is positive. m**(416/9) Simplify ((b/(b*b*b**13))/b**(10/9))/(b**3/b*b**8) assuming b is positive. b**(-226/9) Simplify (a**(-5)*a)**(1/82)/(a**29*a/a**(-1/5)) assuming a is positive. a**(-6201/205) Simplify ((o**3*o*o**(-1/3)*o)/(o*(o/(o**(-1/3)/o))/o)**(1/10))**(2/145) assuming o is positive. o**(133/2175) Simplify ((k**8*k*k/(k*(k/(k/(k/k**(-1/12))))/k)*k)**(-2/43))**(-2/39) assuming k is positive. k**(119/5031) Simplify ((v*v**(-2)/v)**41/((v**(-10/3)/v)/v**(-5)))**(5/8) assuming v is positive. v**(-155/3) Simplify ((u*u/(u/(u/((u**(-1/2)/u)/u))))**(-45)/(u*u**(3/5)*u*u/(u/u**(-7)*u*u)))**0 assuming u is positive. 1 Simplify (z**(2/5))**12/((z/z**3)/((z/(z/z**(-3/4)))/z*z*z)) assuming z is positive. z**(141/20) Simplify (((u**(-13)/u)/u)**39)**(3/19) assuming u is positive. u**(-1755/19) Simplify (((w/(w*w*w*w/(w*w*(w**(-1)/w*w)/w)))/w)/w*w/((w**(-1/7)*w)/w)*(w*w**(-1/5))**(2/23))**(-2/27) assuming w is positive. w**(6098/21735) Simplify (i/(i/i**(-23))*(i**4*i)/i)/(i**(-4)/i*i*i/(i/((i**(-1/9)*i)/i)*i*i)) assuming i is positive. i**(-116/9) Simplify (y**1)**(3/5)/(y/(y/y**(4/3)))**(-1/6) assuming y is positive. y**(37/45) Simplify ((c**(4/5)*c)**(-1/37))**(2/23) assuming c is positive. c**(-18/4255) Simplify a**11/(a/a**(-4))*(a/a**11)/(a*a**10) assuming a is positive. a**(-15) Simplify ((s/(s**26/s)*s)/s*s)/s**39*s**12*s**(-41)/s assuming s is positive. s**(-92) Simplify m**(-6/5)/(m**(3/4)*m)*m**(-1/17)/(((m*m/m**(-10)*m)/m*m)/m) assuming m is positive. m**(-5103/340) Simplify (a*a*a**18)/a**(-8)*a**(-2/43)/a**11 assuming a is positive. a**(729/43) Simplify (k*k**(-2/11)*k)**(2/61)/((k*(k**(-7)*k)/k)/k**(-2/11)) assuming k is positive. k**(3944/671) Simplify (d**8*d)**39*d**(1/31)/d**(-2) assuming d is positive. d**(10944/31) Simplify (k/((k**12*k)/k*k)*k/k**(2/27))/(k*k/(k/(k**(1/5)/k))*(k/k**(2/35))/k) assuming k is positive. k**(-2120/189) Simplify t**(-11)/(t*t/((t*t**(5/8)*t)/t))*t*t/t**(-3/16)*t*t*t**24 assuming t is positive. t**(269/16) Simplify (v/(v/((v*(v/(v*v*v/v**(2/11))*v)/v)/v)))**(-3/25)/(v**0)**(-1/55) assuming v is positive. v**(12/55) Simplify (x**(3/20)*x**11)/(x**(-3/10)*x**0/x*x*x) assuming x is positive. x**(209/20) Simplify (s**(-3))**(-12/11)*(s/((s*s*s**(-3/2)*s)/s))**41 assuming s is positive. s**(523/22) Simplify (((i/((i**(-1/4)*i)/i))/i)**(-1/13)*i**2/((i/(i/i**(1/13)*i*i))/i))**50 assuming i is positive. i**(6375/26) Simplify (t*t/t**(-14))**(-3/23)/(t/(t/t**(4/25))*t**5) assuming t is positive. t**(-4167/575) Simplify (x/(x/(x*x*x/x**22)))**(3/7)*(x**(-2/9))**(-2/11) assuming x is positive. x**(-5615/693) Simplify (((h*h**(-10)*h)**(2/3))**(-34))**20 assuming h is positive. h**(10880/3) Simplify (b*b*b**(2/43)*b)/b*b/(b**(2/29)/b)*b/(b/b**(-7/5)*b)*b*b*b**9*b assuming b is positive. b**(84656/6235) Simplify (b/(b**(-11)*b)*b**(-1/4))/((b**(-14)/b)/b**6) assuming b is positive. b**(127/4) Simplify ((w/((w*w**(-4)*w)/w*w))/w)**(-45)*w/(w*w**(-4/13)*w*w)*(w**13/w)/w assuming w is positive. w**(-1049/13) Simplify ((f/((f*f**(4/3)*f)/f)*f/(f*(f*f/(f*f**(-4)))/f))/(f/(f*f/(f*f**(-1)*f)*f)*f)**(-3))**(-1/44) assuming f is positive. f**(4/33) Simplify (o/(((o/o**(18/5))/o*o)/o))/(o*o*o*o**(-18)/o*o*o*o)*o*o*o**29/o*o**(3/16) assuming o is positive. o**(3823/80) Simplify ((r*r**(-2/11))/r**(-4/7))/((r**(-6/11)/r)/(r/(r*r*(r/r**(-2/9))/r))) assuming r is positive. r**(1187/693) Simplify (r**12/(r/r**(1/14)))**(10/3) assuming r is positive. r**(775/21) Simplify (((z*z/(z*z/z**(1/3)))**(5/3))**32)**(3/4) assuming z is positive. z**(40/3) Simplify (n*n/n**(2/13)*n*n*n)**10/(n*n**(-1/25)*n**(-2/37)) assuming n is positive. n**(571856/12025) Simplify ((a*a*a*a*a**(-35)*a*a)/a**5)/(a**(-1)*a*a**(-4/9)) assuming a is positive. a**(-302/9) Simplify ((m**(-1/9)/m**(6/5))/((m**(-1/3)/m)/m)**42)**(-34) assuming m is positive. m**(-147934/45) Simplify (o**10)**(-1/5)*(o/(o/(o*o/(o**(-1/9)/o)))*o)**(6/17) assuming o is positive. o**(-28/51) Simplify (m*m**23*m/m**28)/(m/m**(-24))**(8/17) assuming m is positive. m**(-251/17) Simplify (i*(i**(-2/37)/i)/i)/i*i**(-11)*(i**(-1))**(-49) assuming i is positive. i**(1330/37) Simplify (l**13*l)**35*l**0*l/((l*l**(-2/9))/l)*l assuming l is positive. l**(4430/9) Simplify ((s**(2/5)*s*s)**(-11)*(s**(-2))**(5/8))**(2/7) assuming s is positive. s**(-79/10) Simplify ((u/u**(1/3))**18*(u/(u*u**(-1)))**0)**19 assuming u is positive. u**228 Simplify ((s*(s/(s/(s*s**(-7)*s))*s*s)/s*s)/(s*((s/(s**(1/6)*s))/s)/s))/(s**(-7))**43 assuming s is positive. s**(1801/6) Simplify (s**10)**45/(s**1/((s*s*(s*s*(s**(-6/5)*s)/s*s)/s*s)/s)) assuming s is positive. s**(2259/5) Simplify (x/x**(-1/8)*x*x**(-4))/(x*((((x*x**(-12)*x)/x)/x)/x*x)/x*x**(1/6)) assuming x is positive. x**(239/24) Simplify ((n*n**(-2/3)*n*n)**15/(n/(n*n/n**(2/7)))**(-28))**41 assuming n is positive. n**615 Simplify w**(-2/9)*(w/((w**6*w)/w))/w*w/w**(-8/3)*w**(8/7) assuming w is positive. w**(-89/63) Simplify (((v*v/(v/(v*v**(1/11)/v)*v)*v)/v)/v)**(2/3)*(v/(v*v**(-9/7)*v*v)*v)**21 assuming v is positive. v**(178/33) Simplify ((h/h**0)**(-4/5)*((((h*h*h**(9/2)*h*h)/h)/h)/h)/(h/(h/(h/(h/(h**(-8)*h*h)))*h)*h*h))**(2/85) assuming h is positive. h**(97/425) Simplify (c**(1/32)*c*c/c**(-27))**(-8) assuming c is positive. c**(-929/4) Simplify h*(h/(h/h**(1/5))*h)/h*h/h**(1/5)*h**(2/31)/(h*(h/(h/(h*h**5/h)*h))/h) assuming h is positive. h**(-60/31) Simplify (d/d**(-5))**41*(d**3*d)**(-2/13) assuming d is positive. d**(3190/13) Simplify (((j**6*j)/(j*j*j*j*j*j**(-6)*j))**(1/12))**(-36) assuming j is positive. j**(-21) Simplify (((n**(2/49)/n)/n)/n**(-3))**13 assuming n is positive. n**(663/49) Simplify j**(1/37)*j*j*j**(-1
{ "pile_set_name": "DM Mathematics" }
788*m + 785*m, 21 = -5*p - m for p. -4 Solve -32 = 2*q - 1028*z + 1032*z, -3*q - 16 = -2*q - 4*z for q. -16 Solve -3*o + v + 183 = 149, -2*o = o - 4*v - 22 - 15 for o. 11 Solve 6*f = -5*k - 19 - 232, 0 = -3*f + 8*k + 79 - 194 for f. -41 Solve 0 = 4*k - 5*f + 35, 0*k - 5*f + 710 = 5*k + 720 for k. -5 Solve -4*l + 6 = 5*k - 38, 5*k + 5*l - 11611 = -11551 for k. -4 Solve u - 3*u = 54*z + 62*z - 106*z + 18, -5*z = -3*u - 47 for u. -14 Solve 24*h - 2*d = -18*h + 52*h + 458, 0*h + 2*d + 188 = -4*h for h. -45 Solve -3*g - 6787 = -r - 6742, 2*r + 140 = -109*g for g. -2 Solve -2491*f + 2479*f = 4*b + 24, -4*b = -2*f - 18 for b. 3 Solve -g = 0, -23*y - 10*g = -12*y - 341 for y. 31 Solve -t + 18 = 4*v, -518*v + 523*v = 15*t - 10*t - 40 for t. 10 Solve -140 = -2*t + 4*t - 19*o, 12*o + 9*o - 138 = -12*t + 17*t for t. 6 Solve -g + 380 - 392 = 4*h, -5*h = 15*g - 11*g + 48 for g. -12 Solve 195*w + 84 = 2*c + 199*w, -157*c - w = 2*c + 613 for c. -4 Solve 6 = 4*z + 18, -2*z + 3*z = -0*j - 11*j - 5*j + 77 for j. 5 Solve -16 = g + i, 0 = 5*i - 306255 + 306320 for g. -3 Solve 18*k + 40 = -2*z - 177 - 25, 103*z - 99*z - 34 = k for k. -14 Solve 37*l + z = -19*l + 59*l + 37, 2*z + 21 = -13*l for l. -5 Solve 2*c = 3*n - 79, 155*c - 150*c + 145 = -3*n for c. -32 Solve 53*v - 58*v - 5*g + 405 = 0, -2*v + 0*v - 3*g + 161 = 0 for v. 82 Solve h = -2*c - 80, 9*h - 4*c - 48 = 90 for h. -2 Solve 41 = -3*i + 4*f + 4*f, -228*i = -225*i - 5*f + 20 for i. 5 Solve -211*v - 17 = -209*v + 3*o - 7*o + 5, 22*v - 5*o = -47 for v. -1 Solve -4221995*o + 36 = 3*z - 4221996*o, -5*z + 2*o = -67 for z. 5 Solve 1985*x - 79 = 5*s + 1987*x, 3*s = -3*x - 105 for s. -3 Solve -228*g - 2*p = -232*g - 2, 17*g + 168*p - 1528 = 36*g - 23*g for g. 4 Solve j + 25 = 3*o, 36*o - j = 17*o + 21*o - 25 for o. 10 Solve 12*a + 3*a + 69 = 10*a + 2*o, 0 = 3*a + o - 51 for a. 3 Solve 107 = -2*l + j, -1915*l - 4*j - 58 = -1914*l for l. -54 Solve -4*a = -60, 0 = -m + 2*m - 15*a - 4*a + 411 - 122 for m. -4 Solve 2*i + i - 473*q - 474*q + 951*q = 22, -8*i + 4*q = 44 for i. -2 Solve 3*j - 2949189*z - 16 = -2949193*z, -2*z = 4*j - 8 for j. 0 Solve -g + r + 14 = -g, 116*g + 114*g = 229*g + 4*r + 60 for g. 4 Solve 21*x = 3*f + 6, 0 = 8*x - 9*f + 5*f - 8 for x. 0 Solve -3*r + 43 = 4*x, r - 13*x = 9609131 - 9609217 for r. 5 Solve 5*w + c + 0*c - 3 = 4*c, 2*w = 58*c + 342 for w. -3 Solve -153*x - 18 = -155*x - 2*a, 2*x + 51*a - 243 = 5*x for x. 4 Solve 11*u + 189 = 6*u - 16*a + 20, -4*u = 2*a + 146 for u. -37 Solve 176980 = 2*r - 40*f + 176832, 0 = 5*r + 5*f + 50 for r. -6 Solve -6*g - 60 = i - 105, 4*i - 164 = -3*g + 62 - 67 for g. 1 Solve k + 4*w = 38, -k - 74*w - 78*w - 52 = -157*w for k. -2 Solve 10*c + 4*r - 3*r - 170 = 0, -c = 9*r + 45 - 62 for c. 17 Solve 0 = 2*m - j + 15, 5*m + 76*j - 69*j - 4*j = -32 for m. -7 Solve -19*c + 18*c + 91*y + 1547 = 0, 27 - 4 = 4*c - 2*y - 11 for c. 0 Solve 5*f + 59*k - 541 = 0, -5517*k + 2 + 14 = -f - 5515*k for f. 2 Solve -165*s - 4 = 2*r - 169*s, -7*s = -4*r - 6 for r. 2 Solve -8715 - 8736 = u + 3*k - 17477, -3*k + 3 + 3 = 6*u for u. -4 Solve 4*k - 4*q - 256 = 0, 5*k - 1647*q - 324 = -1644*q for k. 66 Solve 0 = 2*c - 4*h - 30, -c + 13*h + 2*h + 23 = 12*h for c. -1 Solve -4*p + 25 = x, -776*x + 780*x - 2*p = -26 for x. -3 Solve -a - 541*w + 536*w + 11 = 0, 5*a - 5 = 20*w + 5 for a. 6 Solve 4*l + 3*q = -0*l - 4, -11 + 15 = -4*l + 4*q for l. -1 Solve -48 = -0*r - 4*r - 2*p, 167*r - 165*r - 68 = -3*p for r. 1 Solve 3*v - 5*w = 12 - 31, -2*w + 7 = -4*v + w for v. 2 Solve 0 = 13*m - 4*z + 8*z + 215414 - 215395, -m + 3 + 6 = -z for m. 1 Solve 262457*z - 34 = 262462*z + 3*b, -5*b - 67 = -2*z for z. 1 Solve 0 = -33*v + 92 + 7, -2*v = h - 4*v + 3 for h. 3 Solve 27*i - 23*i = -2*l + l + 84, -292 = -4*i - 53*l for i. 20 Solve 0 = -29*g - 3*p - 81, 2*p - 10 = -64*g + 66*g for g. -3 Solve 8*q + 2*q = -6*c - q + 161, -96 = -4*c + 4*q for c. 25 Solve -26*i - y + 50935 = 50392, 0 = -4*i + 2*y + 90 for i. 21 Solve 0 = -4*q - 4, 6*z - 26*z + 279 = 7*q - 3*q - 97 for z. 19 Solve 93*q = -142 - 230, -4*h + 4*q - 2 + 1 = 3 + 4 for h. -6 Solve -48 = 4*p - 12*s, 10086*p = 10089*p + 12*s + 99 for p. -21 Solve -j + 4*q + 3678 = 3606, 3*j + 5*q = -90 for j. 0 Solve -3*f + 0*f + 3*f - 115 = 24*c - 19, -5*f + 5*c = -11 + 31 for f. -8 Solve 13*m + 8*m + 2 - 14 = -4*y + 25*m, -42*y - 2*m + 38 = 0 for y. 1 Solve 3*c + 61 = -2*k, -37545*c - 231 = -37534*c for k. 1 Solve -1509495 + 1509266 = 4*f + 5*x, -6*f - 271 = -7*x for f. -51 Solve -1377*o + 1373*o = 3*z + 74, -32*z - 714 = 5*o for z. -22 Solve 4*u + 1 - 132 = -3*i, -56 - 76 = -3*u - 3*i for u. -1 Solve -2*q = -3*q + 2*z + 22, 0 = q - 1731*z + 1733*z - 10 for q. 16 Solve -12*w - 22 - 129 = -67*f + 5, -3*f - 3*w - 52 = w for f. 0 Solve 2*c = 3*q + 4, -2*q - 26 = 2*q + q - 6 for c. -4 Solve 3*j + 2*j = -2*k - 7, -3*k + 41664*j = 41663*j - 15 for k. 4 Solve 6*h - h = -38*n + 35*n - 114 + 155, 6*n = 4*h + 110 for n. 17 Solve -9*n + 2*f = -13*n + 14, 0 = -15*n + 4*f + 4*f - 87 for n. -1 Solve 4*u - k = -2*k - 17 + 13, 3*k - 27 = u for u. -3 Solve -2*i = -5*h + 21, 3120 = -73*i - 3*h + 2910 for i. -3 Solve -x + 8 = 2*p + 2, 54 - 29 = -26*p + 91 + 64 for x. -4 Solve -7255*r - 16 = -7249*r - 2*f, -7*r + 3*f = 18 for r. -3 Solve 2*k + s = -16, -21 = 5*k + 38147*s - 38154*s for k. -7 Solve b = -7*k - 31, k = -5*b + 217 - 202 for k. -5 Solve -130*j - 19 = -132*j - 5*q, 19*j + 11*q = -2 for j. -3 Solve -r + 38 = 17*g, 313*r - 2*g - 4*g = 313*r - 44 + 32 for r. 4 Solve 5*f - 25 = -2*w, -33*f + 64*f + 2*w - 15 = 28*f for f. 5 Solve 0 = 22*w - 309 + 111, -2*w + 78 = -30*m for m. -2 Solve -6900 = 300*r, 3*s + 1103*r = 6*s + 1107*r + 107 for s. -5 Solve -i + 6*i + 7*z = 7, 76*i - 4 = 81*i - 4*z for i. 0 Solve 2*p + 39*m + 226 = 0, -4*p + 7*p + 12 - 2 = -4*m - 2 for p. 4 Solve 3*k + 16*u + 144 = 11*u, -15*k + 192 = -19*k - 3*u for k. -48 Solve -28*c + 24*c + 4*y = 273 - 465, 26*c + 342 = -4*y for c. -5 Solve n = 13*n - 27 - 21, -i = -4*n + 20 for i. -4 Solve y - 22*v = 4*y + 41 + 12 + 50, -24 = 4*y + v for y. -5 Solve 115 = -25*a - 3*w, -9*a + w - 10 + 27 = -12*a for a. -4 Solve 32 = k - 2*o, -2*k + 3*k = -672*o + 678*o + 96 for k. 0 Solve 503*c = 499*c - 9*r + 30, -5*c = 3*r - 6*r - 66 for c. 12 Solve -25*u - 2*o - 78 = o, -644094*u + 644090*u - 3*o = 15 for u. -3 Solve 16483*b + s - 100 = 16486*b, 0 = 2*b + 2*s + 72 for b. -34 Solve 8*c = 58*h - 55*h + 24*c - 58, 4*c - 18 = -2 for h. -2 Solve -12533*x + 12529*x - 2*z - 38 = 0, -4*x = -z + 11 for x. -5 Solve 26*j = 2*h - 132, 4*j + 12821*h + 21 = 12822*h for j. -5 Solve 20 = -4*x + 3*c, -63054*x + 63056*x = 3*c - 28 for x. 4 Solve -22*y - 18*q + 5*q + 5*q = -3*q + 171, 4*q + 78 = 2*y for y. -3 Solve -35*p + 3*s - 268 = 0, -3*p + 206*s - 40 = p + 208*s for p. -8 Solve m = 4*p + 37, -83 = 64*p - 50*p + 2*m + 63 for p. -10 Solve -299*v - 3*a - 25 = -300*v, 0 = -v + 2*a + 22 for v. 16 Solve -4*c = 2*q + 94, c = 25765*q - 25752*q - 91 for q. 5 Solve 22*g - 251*g = 5*f + 1623, -f - f - 14 - 4 = g - 3 for g. -7 Solve 2*i = h + 67, 81118*i - 201 = 3*h + 81122*i for h. -67 Solve 28*o - 5*p - 132 = 0, 0 = -0*o - 2*o + 4*p + 310 - 286 for o. 4 Solve -8 = -2*q + 3*a, 218*q + 288 = 192*q - 5*a + 40 for q. -8 Solve 0 = n - 12*u - 145 + 99, -14*u = -2*n + 72 for n. 22 Solve 10*i - 12 = 13*i + 15*h - 18*h, -59*h = -151*i + 149*i + 106 for i. -6 Solve 220 = -25*r - 6*x, -4*r = 3*r - 4*r - x - 7*x + 70 for r. -10 Solve 5*m = 9*s - 402, -3*m - s + 139 = -2*s + 415 - 48 for m. -75 Solve 4*c + 3776 = 2*g + 3714, 60 = -4*c + 4*g for c. -16 Solve 10 - 32 = -5*y - 11*s + 2, -3*y - 2*s + 19 = 0 for y. 7 Solve 5*d + 7*v = 37, -8*d - 327927*v = -5*d - 327925*v - 9 for d. -1 Solve -12*m - 5*o + 16 = -28, -5*m - 4*o + 19255 = 19229 for m. 2 Solve -181964*v - s = -181960*v + 19, -3*s = -6*v - 33 for v. -5 Solve -38 = o - 531728*t + 531724*t, 3*o - t = -169 for o. -58 Solve -4*l - 23*a + 19*a + 244 = 0, 3*a - 26 = -2*l + 98 for l. 59 Solve -124*v = -2*z + 1368, 4*v - 14 = -5*z - 0 - 48 for z. 2 Solve 13*j = 6*w - 72, -45*j + 46*j + 8 = -2*w for j. -6 Solve 16871 - 17190 = -3*t + 11*v, 3*t - 696 = 24*v for t. 0 Solve 4*u - 37 = 647*k - 652*k, 918 = 102*k for u. -2 Solve -18*v + 4*g + 6*g - 124 = 6*g, 7*v = 2*g - 46 for v. -8 Solve 0 = -4*o - l - 4, -4745*o
{ "pile_set_name": "DM Mathematics" }
se Is 303115537 a composite number? False Is 82685474167 prime? True Is 132213797 composite? False Is 50345320301 a composite number? False Is 1283414761 a prime number? True Is 68536399553 a prime number? False Is 210154979 composite? True Is 152280057 a prime number? False Is 1534506287 a composite number? True Is 92007028733 composite? False Is 31848204669 prime? False Is 361890653 prime? False Is 25214866979 a composite number? True Is 10575085337 composite? True Is 1937162111 a composite number? False Is 118823419537 prime? True Is 71906076107 prime? True Is 120063733711 composite? True Is 22395107551 prime? True Is 698615747 composite? False Is 51806674043 a prime number? True Is 13179045889 prime? False Is 370695113 a composite number? False Is 61748902783 a composite number? True Is 2634171283 prime? True Is 248996503753 a composite number? True Is 2127025883 prime? True Is 243053599 prime? True Is 271747087 composite? False Is 4794233659 a composite number? True Is 112071121703 a prime number? False Is 62679979 a prime number? False Is 13896752801 composite? False Is 23587042957 a prime number? True Is 442244609 a composite number? True Is 1296618878 a composite number? True Is 98971945841 a composite number? False Is 30585750629 composite? True Is 9883693447 composite? False Is 1262346487 prime? False Is 1138768133 a prime number? True Is 1437697879 a prime number? False Is 122054081033 a composite number? False Is 40515808477 a prime number? True Is 21483467779 prime? False Is 30073643059 prime? False Is 27062189281 composite? False Is 2883232621 prime? False Is 71186429 prime? False Is 6063597867 a prime number? False Is 87440862517 a composite number? False Is 829073101 a prime number? False Is 343919165 composite? True Is 11472797627 composite? False Is 5676816677 a prime number? False Is 3888095597 composite? True Is 11124618733 a composite number? True Is 4210798597 composite? True Is 3509221 a prime number? True Is 18071036411 prime? False Is 938322493 a composite number? False Is 21588090977 a prime number? True Is 12522426233 composite? True Is 76695937 composite? False Is 64895603 a composite number? True Is 874029193 a composite number? True Is 492704161 a prime number? True Is 91482329819 a composite number? True Is 5244672071 prime? False Is 272801741 a prime number? False Is 48994963 composite? False Is 1053537421 prime? True Is 141821159 prime? False Is 216326093 a composite number? False Is 15767727149 a composite number? False Is 493355281 composite? False Is 2179235999 composite? False Is 8295174689 prime? True Is 37527055537 composite? False Is 403331501 composite? True Is 2767200866 a prime number? False Is 264831271 composite? False Is 20569368931 a composite number? True Is 61499909749 a prime number? True Is 15629111354 prime? False Is 6649037939 prime? True Is 12508284673 a prime number? True Is 14128847021 prime? False Is 77418836899 a composite number? True Is 2055558467 prime? False Is 1613491703 a composite number? True Is 1068193099 a prime number? False Is 4170473249 a composite number? False Is 22863082469 a composite number? False Is 10566758189 composite? True Is 6624089203 a prime number? True Is 907528397 composite? False Is 29322966671 a prime number? True Is 2405568301 a prime number? True Is 13642610915 prime? False Is 1282705451 a prime number? False Is 45737825113 a composite number? False Is 2418786169 a prime number? True Is 26720516861 composite? True Is 6882495301 a composite number? True Is 130434946199 composite? True Is 1499811035 a composite number? True Is 1171842509 composite? False Is 1331370059 a prime number? False Is 2353636203 a composite number? True Is 1842602587 prime? False Is 774583891 prime? True Is 608771417 a prime number? False Is 46834745299 a prime number? False Is 62133031 a composite number? True Is 49036054603 a composite number? True Is 1043770857 a composite number? True Is 15276146 composite? True Is 2071926967 prime? False Is 9708232961 a composite number? True Is 15480144553 a prime number? False Is 1894120207 a composite number? True Is 132972637607 prime? True Is 41005054843 prime? False Is 751973281 composite? True Is 446771627 prime? False Is 15011138123 a prime number? True Is 6031796709 a prime number? False Is 36523872449 a prime number? True Is 19959018109 composite? True Is 531651781 a composite number? False Is 94473383 prime? True Is 50284435301 prime? False Is 1364269723 a composite number? True Is 297658415 a composite number? True Is 2051185559 a composite number? False Is 13034478409 a prime number? True Is 1590860857 a prime number? False Is 333902039 a prime number? True Is 88629262819 a composite number? False Is 68533623841 a prime number? False Is 5233476257 composite? False Is 4615333 a composite number? False Is 107535089 prime? True Is 1140495137 composite? True Is 11522595647 a composite number? False Is 10621161251 prime? True Is 6548537029 prime? False Is 70618774621 prime? False Is 225519769 a prime number? False Is 42314226863 a prime number? True Is 822848177 prime? True Is 18992842763 composite? False Is 9927472603 a prime number? False Is 37025208257 a composite number? False Is 16013068189 a prime number? True Is 20901914233 prime? True Is 1548062641 prime? False Is 1128639613 a composite number? False Is 26475241433 a prime number? True Is 15907372799 a prime number? False Is 239439209 composite? True Is 3364653137 prime? False Is 20570964901 prime? False Is 120198899 prime? True Is 1599651979 composite? True Is 18644838941 a composite number? False Is 1193740381 composite? False Is 692608942 a composite number? True Is 246783781 prime? False Is 454466443 composite? False Is 10860309545 a prime number? False Is 38628495907 a prime number? True Is 39299169187 composite? False Is 10161060997 a composite number? False Is 3406033061 prime? True Is 2750017709 a composite number? False Is 29270606231 a composite number? False Is 31792974149 prime? True Is 55657037 prime? True Is 191005567 prime? True Is 33303335203 prime? False Is 4155469627 composite? False Is 2425948699 prime? True Is 1460514457 a prime number? True Is 124958671 a prime number? True Is 974746853 composite? True Is 93514500349 composite? False Is 14092682819 a prime number? True Is 2158999421 composite? True Is 2650411633 a prime number? True Is 155736344553 a composite number? True Is 11558253167 a prime number? True Is 1497190213 a prime number? False Is 18963148349 a composite number? False Is 1218728593 a composite number? True Is 587722931 a prime number? True Is 26082099047 composite? False Is 4281119399 prime? False Is 5251065559 composite? False Is 102722122681 a prime number? False Is 1213657301 a composite number? True Is 13871582609 a composite number? True Is 13063620151 composite? True Is 47310313553 a prime number? False Is 3898304981 a prime number? True Is 24546256733 a composite number? True Is 11518318921 a composite number? True Is 110685478223 prime? True Is 128975999 composite? False Is 7963690121 composite? False Is 1173920749 a composite number? False Is 40488846817 a prime number? False Is 8745754709 a prime number? True Is 174742747 composite? False Is 1648108297 a prime number? False Is 891050033 a prime number? True Is 567052293 a composite number? True Is 840352571 composite? False Is 2534929777 a composite number? False Is 6241023373 a prime number? False Is 323088937 prime? False Is 104315040191 composite? False Is 1037905117 prime? False Is 15239301073 prime? True Is 100710593 composite? True Is 2293169447 a composite number? False Is 1495484867 composite? False Is 4196454109 a prime number? True Is 61997579399 composite? True Is 42262880479 composite? False Is 1283149753 composite? True Is 128009423 prime? False Is 1672412719 prime? True Is 24773933039 composite? False Is 2416879921 composite? False Is 626950783 a composite number? True Is 42645589337 prime? False Is 4998746747 a composite number? False Is 56532263527 prime? False Is 1814226511 prime? True Is 16833004253 prime? False Is 15282560119 a composite number? False Is 59019069 prime? False Is 1334291383 composite? True Is 96010439299 composite? False Is 266078663 prime? F
{ "pile_set_name": "DM Mathematics" }
63468. (r - 123)*(127*r - 2580)/5 Let 2*p**2 - 2963712*p + 1097948602368 = 0. Calculate p. 740928 Determine y, given that -2*y**3/3 - 186898*y**2/3 - 20504330*y - 1690109850 = 0. -93119, -165 Suppose 2*q**2/3 - 206264*q + 3093910/3 = 0. Calculate q. 5, 309391 Factor 5*n**3 + 12826340*n**2 + 8226019236305*n + 345470182631490. 5*(n + 42)*(n + 1282613)**2 Factor -37*i**2 - 30833468*i/3 + 92593. -(i + 277779)*(111*i - 1)/3 Determine v, given that 4*v**3 + 20152*v**2 - 1384208*v + 23610144 = 0. -5106, 34 Factor -d**3 + 5492*d**2 - 7702576*d + 442599360. -(d - 2716)**2*(d - 60) Factor 2*k**5/13 + 50144*k**4/13 + 50142*k**3/13. 2*k**3*(k + 1)*(k + 25071)/13 Determine x, given that -2*x**2/11 + 178256*x/11 + 13023346/11 = 0. -73, 89201 Factor -w**4 - 1482*w**3 - 351945*w**2. -w**2*(w + 297)*(w + 1185) Factor 2*c**2/7 - 142500*c/7 - 5560542/7. 2*(c - 71289)*(c + 39)/7 Find a, given that 5*a**4 + 54890*a**3 - 1375375*a**2 = 0. -11003, 0, 25 Factor -2*h**3/9 + 909490*h**2/9 - 103391505136*h/9 - 1137416607448/9. -2*(h - 227378)**2*(h + 11)/9 Factor 2*k**2 - 263452*k - 8959680. 2*(k - 131760)*(k + 34) Determine j so that -j**3 + 38042*j**2 + 21849824*j + 3114128160 = 0. -284, 38610 Determine g so that g**4/6 + 962*g**3/3 + 88481*g**2/6 + 245527*g/3 - 225240 = 0. -1877, -40, -9, 2 Factor -4*k**2 + 195796*k - 4501192. -4*(k - 48926)*(k - 23) What is x in -5*x**2 - 3572287760*x - 638061992012290880 = 0? -357228776 Suppose 2*c**3/5 + 12228*c**2/5 + 2075498*c + 10365264/5 = 0. What is c? -5096, -1017, -1 Factor -q**2 - 20669300*q + 41338604. -(q - 2)*(q + 20669302) Find f, given that 5*f**3 - 797490*f**2 - 7975355*f - 7177860 = 0. -9, -1, 159508 Factor -3*m**3 - 245406*m**2 + 1227213*m + 8835156. -3*(m - 9)*(m + 4)*(m + 81807) Factor c**2 + 19912*c + 139335. (c + 7)*(c + 19905) Factor -m**2/3 + 73344*m - 220031/3. -(m - 220031)*(m - 1)/3 Determine r so that 2*r**2 + 10576404*r + 13982540196402 = 0. -2644101 Find w, given that 3*w**3 + 49875*w**2 - 1198296*w + 7192368 = 0. -16649, 12 Let -190*x**2 - 17935*x + 1469265 = 0. Calculate x. -147, 1999/38 Factor 42*i**2/5 + 13474*i - 2128832/5. 2*(i - 31)*(21*i + 34336)/5 Find j, given that 2*j**5/7 + 93140*j**4/7 + 1084848064*j**3/7 + 1548878272*j**2 + 4955473920*j + 34685337600/7 = 0. -23280, -4, -2 Let 16*n**3/15 - 15382*n**2/15 - 189502*n/5 + 71784/5 = 0. What is n? -36, 3/8, 997 Solve 2*q**5/23 - 1074*q**4/23 + 178606*q**3/23 - 10744758*q**2/23 + 162066960*q/23 - 563376600/23 = 0 for q. 5, 15, 114, 289 Suppose -2*k**5/9 - 3744*k**4 - 141589358*k**3/9 + 951996680*k**2/3 + 45123013288*k/9 + 35281648576/3 = 0. What is k? -8434, -8, -3, 31 Let a**3/2 - 66299*a**2/6 + 183142700*a/3 + 61051250/3 = 0. Calculate a. -1/3, 11050 Factor 80008391125538*z**2 + 50599096*z + 8. 2*(6324887*z + 2)**2 Factor x**2/7 - 5088*x/7 - 635620/7. (x - 5210)*(x + 122)/7 Solve -4*v**5 - 2112*v**4/5 - 81232*v**3/5 - 1365736*v**2/5 - 1843884*v - 2718520 = 0 for v. -35, -19, -73/5, -2 Let -3*a**3 - 2685900*a**2 - 29544501*a + 32230404 = 0. What is a? -895289, -12, 1 Solve 2*o**5 + 18024*o**4 + 40535874*o**3 - 325495540*o**2 - 120417000*o + 3661218000 = 0 for o. -4510, -3, 5, 6 Factor -44*g**3/3 + 13028*g**2 - 695072*g + 28710080/3. -4*(g - 28)**2*(11*g - 9155)/3 Find x such that 2*x**5/3 - 2877220*x**4 - 60421700*x**3/3 - 25895040*x**2 + 77685030*x + 155370132 = 0. -3, 2, 4315837 Determine w, given that -2*w**4/13 + 298*w**3/13 + 73122*w**2/13 - 1064770*w/13 + 3773000/13 = 0. -140, 7, 275 Factor -2*r**2/19 - 91294*r/19 - 4468604/19. -2*(r + 49)*(r + 45598)/19 Determine b, given that 8*b**5/13 - 12006*b**4/13 - 896136*b**3/13 - 15384526*b**2/13 + 34449516*b/13 = 0. -37, 0, 2, 6291/4 Factor -2*x**2 + 9738*x - 77776. -2*(x - 4861)*(x - 8) Suppose 4*h**5 - 28732*h**4 + 49633820*h**3 + 7103486380*h**2 + 27767556096*h + 20713732272 = 0. What is h? -129, -3, -1, 3658 Find f such that -3*f**2 - 273486*f + 3008709 = 0. -91173, 11 Find p, given that -2*p**3 + 28176*p**2 - 96680682*p + 97672970340 = 0. 2259, 9570 Solve 4*o**2 + 434596*o + 3476512 = 0. -108641, -8 Determine s so that 2*s**4/3 - 15878*s**3/3 + 19422392*s**2/3 + 6479424*s = 0. -1, 0, 1512, 6428 Factor -4*v**3 + 9233444*v**2 - 18466876*v + 9233436. -4*(v - 2308359)*(v - 1)**2 Let -4*b**3/5 + 56027*b**2/5 + 4181983*b/5 + 1041994/5 = 0. Calculate b. -74, -1/4, 14081 Determine k, given that 5*k**4/3 + 9793*k**3/3 + 25432*k**2/3 + 7820*k/3 - 2608 = 0. -1956, -2, -1, 2/5 Solve -k**5/5 + 173*k**4/5 - 7391*k**3/5 - 173*k**2/5 + 7392*k/5 = 0 for k. -1, 0, 1, 77, 96 Determine m, given that -65*m**3 + 394470*m**2 - 601780620*m + 9980776840 = 0. 218/13, 3026 Solve 5*p**3 + 1696905*p**2 + 143970086595*p - 719892856225 = 0. -169693, 5 Let -15*u**5 - 136536*u**4 - 308391891*u**3 + 10543347546*u**2 + 59630215200*u - 3208243440000 = 0. What is u? -4568, -82/5, 25 What is q in -3*q**3/5 + 2538399*q**2/5 - 2538396*q/5 = 0? 0, 1, 846132 Factor -18*j**2 - 25195215*j/7 - 85698. -3*(j + 199962)*(42*j + 1)/7 Factor -2*c**3 - 125228*c**2 - 1957498578*c + 86372549208. -2*(c - 44)*(c + 31329)**2 Factor -w**2 - 77926106*w - 1518119499080809. -(w + 38963053)**2 Let u**3/4 - 422989*u**2/4 + 845966*u - 1691924 = 0. Calculate u. 4, 422981 Factor 28*i**3 - 8580*i**2 - 237312*i - 132800. 4*(i - 332)*(i + 25)*(7*i + 4) Determine t so that -14*t**2/5 + 11311574*t/5 + 969564 = 0. -3/7, 807970 Determine b so that -4*b**3 - 2686340*b**2 - 75215168*b - 526500688 = 0. -671557, -14 Find a, given that 5*a**5 + 2600*a**4 + 93185*a**3 + 769810*a**2 - 1829600*a + 964000 = 0. -482, -20, 1 Let -k**2 + 10984*k + 1489812 = 0. What is k? -134, 11118 Solve 3*i**2 - 205164738*i + 3507714143217387 = 0 for i. 34194123 Suppose -4*b**4 - 3792*b**3 - 192192*b**2 + 814400*b - 829632 = 0. What is b? -894, -58, 2 Find u such that -u**3 - 49234*u**2 - 732374304*u - 2925936074880 = 0. -21432, -6370 Determine f, given that 2*f**5/5 - 456352*f**4/5 + 26033968832*f**3/5 - 208249846272*f**2/5 + 416485089792*f/5 = 0. 0, 4, 114084 Determine z, given that 2*z**2/15 - 691894*z/15 - 15226508/3 = 0. -110, 346057 Factor -t**2/4 + 60401*t/2 + 120803/4. -(t - 120803)*(t + 1)/4 Determine z, given that -3*z**5/5 - 2553*z**4/5 + 49899*z**3/5 + 268053*z**2/5 - 675576*z/5 + 72036 = 0. -870, -6, 1, 23 Solve 4*s**5/3 - 23672*s**4 - 2377336*s**3 - 171275968*s**2/3 + 121410668*s - 61917672 = 0 for s. -51, 1, 17854 Let -k**5/3 + 3184*k**4 - 665357*k**3/3 + 15346114*k**2/3 - 43377152*k + 364260512/3 = 0. Calculate k. 7, 28, 9482 Suppose -3*o**2/2 - 669543*o - 1339083/2 = 0. What is o? -446361, -1 Determine j so that 2*j**5/3 + 262*j**4 - 480514*j**3/3 - 805278*j**2 - 3872176*j/3 - 645880 = 0. -723, -2, -1, 335 Find p such that -p**5/10 - 943*p**4/10 + 10483*p**3/10 - 10553*p**2/10 - 28161*p/5 - 17172/5 = 0. -954, -1, 4, 9 Find s such that -64*s**4 - 1200*s**3 + 38511*s**2 + 943029*s + 4095522 = 0. -159/8, -6, 27 Factor -5633*g**2 - 298588*g - 2067. -(g + 53)*(5633*g + 39) Factor 35*q**2/3 + 513425*q/2 - 55010/3. 5*(q + 22004)*(14*q - 1)/6 Factor -30429480*r**2 - 91288436*r + 12. -4*(r + 3)*(7607370*r - 1) Factor -15*g**2 + 66907625*g - 22302540. -5*(g - 4460508)*(3*g - 1) Find w such that 2*w**4/5 - 21944*w**3/5 + 17550*w**2 - 65808*w/5 = 0. 0, 1, 3, 10968 Factor -p**3/7 + 16466399*p**2/7 - 67785532840784*p/7 - 338928075864020/7. -(p - 8233202)**2*(p + 5)/7 Find a, given that 145*a**5 - 498350*a**4 - 52570*a**3 + 3487580*a**2 + 3350985*a + 309330 = 0. -2, -1, -3/29, 3, 3437 Solve 26*p**4/7 + 10902*p**3 + 2656356*p**2/7 + 2384752*p + 2505600/7 = 0 for p. -2900, -27, -8, -2/13 Find g, given that 5*g**5 - 50512*g**4 + 222161*g**3 - 50478*g**2 - 121176*g = 0. -3/5, 0, 1, 4, 10098 Solve -2*s**3/9 + 374602*s**2/9 + 41624*s - 249736 = 0 for s. -3, 2, 187302 Determine y, given that -y**5 + 5531*y**4 + 60964*y**3 - 10928*y**2 - 864768*y + 1197072 = 0. -9, -6, 2, 5542 Factor -5*l**2 - 42233735*l - 42233730. -5*(l + 1)*(l + 8446746) Let -u**4 - 14991*u**3 + 14992*u**2 = 0. Calculate u. -14992, 0, 1 Factor -r**2/7 - 5832926*r/7 + 11665856/7. -(r - 2)*(r + 5832928)/7 Solve 5*o**3 - 235345*o**2 + 2769716435*o - 8307031335 = 0. 3, 23533 Let -15*f**5 - 383210*f**4 - 2446603975*f**3 + 11426471120*f**2 + 4080654400*f = 0. Calculate f. -12776, -1/3, 0, 5 Suppose -15*f**5/7 - 846*f**4/7 + 227
{ "pile_set_name": "DM Mathematics" }
0277*d**2 + 937402? 14320554*d Find the second derivative of -n**3 + 36945*n**2 - 1516*n - 6. -6*n + 73890 What is the third derivative of 34464*t**4 - t**3 + 20*t**2 + 625*t - 3 wrt t? 827136*t - 6 What is the derivative of 18*t**3 - 31*t**2 + 5*t + 643266? 54*t**2 - 62*t + 5 Find the second derivative of 9924*u**4 + 5009*u. 119088*u**2 What is the third derivative of 291*k**5 + 204*k**3 - 17152*k**2 - 38? 17460*k**2 + 1224 What is the second derivative of d**2*g**2*n + 177*d**2*g**2 + 24*d**2*g*n**2 + 3*d**2*g*n - 2*d**2 - 3*d*n**2 - 44*g**2*n**2 - 2*g**2*n - 2*g*n - n**2 wrt n? 48*d**2*g - 6*d - 88*g**2 - 2 Find the third derivative of -1406470*m**4 + m**2 - m + 23797. -33755280*m Find the second derivative of -29*k**2*m**2*s - 2*k**2 + 12*k*m**2*s - 6*k*m**2 + 3775*m*s - s wrt m. -58*k**2*s + 24*k*s - 12*k Find the third derivative of -81*u**3*w**3 + 6*u**3*w**2 + 10*u**3 + 29*u**2*w**6 - 11*u**2*w**2 + 2*u**2*w wrt w. -486*u**3 + 3480*u**2*w**3 Find the third derivative of 125734*m**5 - 884*m**2 wrt m. 7544040*m**2 What is the third derivative of -71*w**4 - 384*w**3 - 271330*w**2? -1704*w - 2304 Find the second derivative of 22*q**4 + 573*q**3 + 2*q**2 - 6*q - 698. 264*q**2 + 3438*q + 4 What is the third derivative of 28604*j**3 - 3*j**2 - 2640*j - 3 wrt j? 171624 What is the third derivative of 5*a**3*k + 84*a**3*p**3 - 146*a**2*k**3*p**3 + 15430*a**2*k**3*p**2 - 5*a wrt p? 504*a**3 - 876*a**2*k**3 What is the third derivative of -111283*c**3 - 3*c**2 + 175*c + 6? -667698 Find the third derivative of 264926*i*r**3 - i*r**2 + 197*i*r + 18*r**2 + 2*r wrt r. 1589556*i What is the first derivative of -3538633*c - 1726320 wrt c? -3538633 Find the third derivative of 27*u**5 + 4*u**4 - 44*u**3 - 2*u**2 - 348132*u - 1. 1620*u**2 + 96*u - 264 What is the second derivative of -2550*m**4 - 2*m**3 + 81*m**2 + 758205*m? -30600*m**2 - 12*m + 162 What is the derivative of 131*c**4*j + 96*c**3*j + 2*c - 39592*j - 1 wrt c? 524*c**3*j + 288*c**2*j + 2 Find the third derivative of -29*l**5 - l**4 + 275*l**3 - 49970*l**2 wrt l. -1740*l**2 - 24*l + 1650 What is the third derivative of 36*h*n**6 - h*n**3 - 2551*h*n**2 + 205*n**6 + 14 wrt n? 4320*h*n**3 - 6*h + 24600*n**3 Find the third derivative of 3906*m**6 + 5*m**5 + m**2 - 28710*m. 468720*m**3 + 300*m**2 Find the second derivative of 2*t**4 - 5647*t**3 - 11*t**2 + 1940989*t - 2 wrt t. 24*t**2 - 33882*t - 22 Find the third derivative of -1318612*b**2*k**3 - 8*b**2*k + 1497*k**2 wrt k. -7911672*b**2 Find the third derivative of -1529*f**4 + 6*f**3 + f**2 + 40490*f - 1. -36696*f + 36 Find the first derivative of -23560*f - 9761 wrt f. -23560 What is the derivative of -930376*m + 973487? -930376 Differentiate -3956*k**2 + 28*k - 24032 with respect to k. -7912*k + 28 What is the third derivative of 2*m**4*s**2 + 244945*m**3*s**2 - 2*m**2*s**2 - 42208*m*s**2 wrt m? 48*m*s**2 + 1469670*s**2 What is the third derivative of 1294485*w**3 - 354*w**2 - 6*w - 86? 7766910 Find the third derivative of -521*i**6 - i**4 + 35*i**3 - 65803*i**2 - 8. -62520*i**3 - 24*i + 210 Find the second derivative of 1922441*c**2*p**3 + c*p**2 - 22*p**3 - 2036*p**2 wrt c. 3844882*p**3 What is the third derivative of 8941*z**4 - 115*z**3 + z**2 - 125*z - 3874? 214584*z - 690 What is the derivative of -833908*m**2 - 1423239 wrt m? -1667816*m Find the first derivative of -393216*d**2 + 3954874. -786432*d What is the first derivative of -44474*x - 24591 wrt x? -44474 Find the third derivative of 101172*c*p**3*v**3 - 7*c*p**3*v + 2*c*p**2*v**4 + 11*p**3*v**2 + 99*p**2*v**2 wrt v. 607032*c*p**3 + 48*c*p**2*v What is the second derivative of 66706*x**2 - 315080*x wrt x? 133412 What is the third derivative of 28*q**3*r + 2013*q**3 + 42*q**2 + 5*q + 7*r + 2 wrt q? 168*r + 12078 Find the second derivative of -59565*m**2*x**2 - m**2*x + 5271*m*x + x**4 wrt x. -119130*m**2 + 12*x**2 Find the third derivative of -w**5 + 11236*w**3*x**3 + 69444*w**2*x**3 wrt w. -60*w**2 + 67416*x**3 What is the derivative of -j**2*x + 139*j**2 + 8*j*x + 2*x + 2174 wrt j? -2*j*x + 278*j + 8*x Differentiate -76*d*h**2*q**2 - 1090*d*q**3 - 5*h**2*q**2 + 508*h**2*q + 4*h*q**3 + h*q + q with respect to d. -76*h**2*q**2 - 1090*q**3 What is the second derivative of -137199*v**2 + 8*v + 217? -274398 What is the second derivative of -103*j**3*o**2 + j**3 + 247*j**2 - 28843*j*o + 2*o**2 + 2 wrt j? -618*j*o**2 + 6*j + 494 What is the second derivative of 30857*j**2*o**3 + 9*j*o + o**3 - 2544*o wrt j? 61714*o**3 Differentiate n*u**2 - 2*n*u + 1076752*n - 875*u**2 + 47*u wrt u. 2*n*u - 2*n - 1750*u + 47 What is the third derivative of 42883*n**5 - 2*n**2 + 43*n + 117 wrt n? 2572980*n**2 What is the third derivative of -2*f*h**4 - 73*f*h**3 + 46*f*h**2 - 90*f*h + 9*h**4 wrt h? -48*f*h - 438*f + 216*h Find the second derivative of 21*i**2*z - 10711*i**2 - 160208*i*z - 13*z wrt i. 42*z - 21422 What is the first derivative of -j**4 - 7557*j**3 + 893408? -4*j**3 - 22671*j**2 Differentiate 16692*b**3 - 4255993 with respect to b. 50076*b**2 What is the second derivative of -64*g**2*h**2*p + 2*g**2*h*p - 31*g*h**2*p**2 - 2*g*h*p**2 - 6*h**2 + h + 318*p + 1 wrt h? -128*g**2*p - 62*g*p**2 - 12 Find the second derivative of b*y**5 - 1570459*b*y + 1766561*y**3 wrt y. 20*b*y**3 + 10599366*y What is the first derivative of 351*y**3 + y**2 + 6*y + 76007 wrt y? 1053*y**2 + 2*y + 6 Find the second derivative of 73*i**3*j**2 + i**2*j - 111*i**2 + i*j - 904*j**2 - 1 wrt i. 438*i*j**2 + 2*j - 222 Find the second derivative of -8*p**2*r**2 + p**2*r + 689*p**2 + 12967*p*r**2 - r**2 - 3*r - 2 wrt r. -16*p**2 + 25934*p - 2 Find the third derivative of 43571*i**6 - 2*i**5 + 3758*i**2 wrt i. 5228520*i**3 - 120*i**2 What is the second derivative of -302*m**3*w**3 + 109*m**3*w - m**2 - m*u*w + 32*m*w + u*w**2 + 2*w**3 - 46*w**2 wrt w? -1812*m**3*w + 2*u + 12*w - 92 What is the derivative of 289192*i**3 + 884917 wrt i? 867576*i**2 What is the second derivative of 15*s**5 - 1483*s**2 + 126824*s? 300*s**3 - 2966 Find the third derivative of -3*n**2*z**6 + 587*n**2*z + 3*n*z**2 + 6897*z**6 + z**2 wrt z. -360*n**2*z**3 + 827640*z**3 Differentiate -r*s*x**2 - 78*r*s*x + 83*r*s + 2*r + 3945*s*x**2 - 111*s with respect to r. -s*x**2 - 78*s*x + 83*s + 2 Differentiate -1144*j**2 - 934*j + 139823 wrt j. -2288*j - 934 What is the derivative of -3*h**3 - h**2*x - 4078*h*x**2 + 2*x**2 + 2*x + 1041 wrt h? -9*h**2 - 2*h*x - 4078*x**2 What is the second derivative of -1099373*p**3 + 540308*p? -6596238*p Differentiate 2*h**3*o*u + 25*h**3 - 13*h**2*u + 2*h*o*u - h - 190101*o*u + 103 wrt o. 2*h**3*u + 2*h*u - 190101*u Find the first derivative of 5076*j**3 - 17*j**2 - 3*j - 442675 wrt j. 15228*j**2 - 34*j - 3 Find the third derivative of -1933082*c**6 + 240504*c**2 + 3 wrt c. -231969840*c**3 What is the second derivative of 33769*i**4 - 2280*i - 3 wrt i? 405228*i**2 Find the third derivative of -821514*j**3 - 426923*j**2 + 1 wrt j. -4929084 What is the second derivative of 2*q*y**3 + 23*q*y**2 - 2*q*y - 36034*q + 800*y**3 - y wrt y? 12*q*y + 46*q + 4800*y What is the second derivative of 13796*k**4 - k**2 - 341*k + 30 wrt k? 165552*k**2 - 2 What is the second derivative of 26*n**5 - 7*n**3 - 7*n**2 + 54748*n wrt n? 520*n**3 - 42*n - 14 What is the second derivative of -767646*c**3 - 113606*c - 3? -4605876*c What is the third derivative of 2*t*x**4 - t*x**2 - 105*t*x - 19*t - 5115*x**3 + 2 wrt x? 48*t*x - 30690 What is the first derivative of 108*l**3 + 805*l**2 + 2*l - 147846 wrt l? 324*l**2 + 1610*l + 2 Find the second derivative of -3*f**4 + 11611*f**2 - 5*f + 495 wrt f. -36*f**2 + 23222 What is the second derivative of -67*s**3 - 316*s**2 - 30863*s? -402*s - 632 Find the third derivative of 7*g**3*k**3 - 3*g**3*k*l - 38*g**2*l**2*x - 4*g*k**2*l*x + 12*g*l**3 - 11*k**3*l**3 + 54*k**3*l**2*x wrt k. 42*g**3 - 66*l**3 + 324*l**2*x Find the first derivative of 2*c**2*h + 4493*c*h**3 + c*h - 19290*h**3 wrt c. 4*c*h + 4493*h**3 + h What is the third derivative of -12517*c**2*k**3*v**2 + 6*c**2*k*v + c*k**3*v**2 - 4*c*k**2*v - 17*k*v**2 wrt k? -75102*c**2*v**2 + 6*c*v**2 Find the first derivative of 11*g**2 - 28091*g + 392773. 22*g - 28091 Find the second derivative of -2*f**4 - 56*f**3 - 84*f**2 + 898523*f wrt f. -24*f**2 -
{ "pile_set_name": "DM Mathematics" }
(f**(-2/31)/f)/(f*f*f**(-13)/f*f))**(5/4))**(-1/15) assuming f is positive. f**(-77/93) Simplify (((d/(d/d**(1/6))*d)/d)/(d*d*d**5*d*d*d))**14/(((d*d*d/(d**(-2/9)/d)*d)/d)**(-23)/(((d/(d**(-2/5)/d))/d*d)/d)**(-10)) assuming d is positive. d**(-491/9) Simplify ((w*w**(-2)*w)**29)**(-9)*(w*w*w**(1/5)*w**6)/(w*w**0)**43 assuming w is positive. w**(-174/5) Simplify ((y/(y**(-5)/y))**(-22)/(y**(2/15)/y)**(-1/10))**(1/35) assuming y is positive. y**(-23113/5250) Simplify ((r*r/(((r*r**(-12)/r)/r)/r)*r**(-9)*(r**(-1/3))**(-6/25))**(-2/11))**(8/17) assuming r is positive. r**(-2832/4675) Simplify ((n*n*n**1)**28)**(-2/107)/((n**(-1/4))**(-3/17)/((n*(n**(-2/13)/n)/n)/n**(2/5))) assuming n is positive. n**(-1498301/472940) Simplify ((c**(1/2)/c**(13/5))/(c/(c/c**24))**(-35))**(-7/2) assuming c is positive. c**(-58653/20) Simplify ((((d**(-1/5)/d)/d)/(d/d**(-4)))/((d/(d*d**(-1/8)))/d*d/d**(-3/2)))/(((d*d**(-1/5)/d*d)/d)**(5/4))**15 assuming d is positive. d**(-203/40) Simplify ((s**1*s)**(-2/23)/(s/(s**(-7)*s)*s*s*s**(-5/6)))/(((s*s**(1/4))/s)/(s*s*s**(-3/2))*(s**0)**(-25)) assuming s is positive. s**(-2233/276) Simplify (((q*q*q*q**(-1/10)/q)/(q*(q*q**(-4/9))/q))/(q**(-3/10)/(q*q**8/q)))**42 assuming q is positive. q**(6076/15) Simplify ((p/(p**1/p*p))**27/((p*p**(-2)/p)/(p*(p/p**(-1/2))/p)))/(p**6/(((p*p**(-1/4)/p)/p)/p)*p**2/(p**0/p)) assuming p is positive. p**(-31/4) Simplify (((m*m**17/m)/m**6)/(m**(-6)*(m*m**(-14)*m*m)/m))**(-35) assuming m is positive. m**(-1015) Simplify (g**(1/5)*g/(g/g**(-6)))**(-3/7)*(g**1*g/g**0)/(g/(g/(g/(g/g**1*g)))*g)**(2/7) assuming g is positive. g**(21/5) Simplify (((x**(2/53)*x/(x/x**(-5)))**7)**43)**(21/2) assuming x is positive. x**(-1662423/106) Simplify (((s/(s/s**(1/18)))/(s/(((s*s/((s**12/s)/s*s))/s)/s)*s))/(((s/s**(-6)*s)/s)/(s*s/(s/(s/(s*s*s/s**24))))))**(-10/11) assuming s is positive. s**(-25/9) Simplify (((t*t*t**(-1/11)*t*t)/(t**45*t))/(t**(-2/59))**9)**(1/4) assuming t is positive. t**(-27119/2596) Simplify (((f/f**(1/5))/f)/((f/(f**(-6)*f*f))/f))/(f**6*f*f**(-2/3))*((f*f/f**(-1))**(4/3))**(8/15) assuming f is positive. f**(-42/5) Simplify ((g**(-5)*g)/(g**0*g))**47/((g*g**(-8)*g*g/((g/((g*g**7*g*g)/g)*g*g)/g))/((g**0/g*g*g)/g)**(-2/67)) assuming g is positive. g**(-237) Simplify ((c/(c/c**0))**48)**(-5/13)*c**(-1)/c**(2/3)*c**4*c/(c**(-1/4)/c) assuming c is positive. c**(55/12) Simplify (c**(2/5))**50/((((c/(c*c**(-2/3)))/c)/c)/(c/(c/(c/c**(-2/7)))))*c**(-5/6)*c**(-6)*(c*c/((c**(2/5)/c)/c))**(-2/61) assuming c is positive. c**(66901/4270) Simplify ((a**0/(a/(a/((a*a**1)/a))))/(a**(2/11)/a**(-2/9)))/((a*a/(a/(a/a**2)))**(1/5))**(2/79) assuming a is positive. a**(-139/99) Simplify ((y*y/(y*y**8*y))**(-1)*(y/y**(11/4))/y*y/((y**(-1/10)*y*y)/y*y))**(6/31) assuming y is positive. y**(261/310) Simplify ((((m*m**(4/21))/m)/m**(-2/29))/(m**(-2/55)*(m**(-2/17)*m)/m))**(19/4) assuming m is positive. m**(2236547/1138830) Simplify (m**(-2/5))**(-26)/((m/m**6)/(m**5*m*m*m))*m**2*m**(-2)*(m**(-2)*m)**(-4/17) assuming m is positive. m**(2009/85) Simplify ((s**(-9/4)*(s**(-7/2)/s*s)/s)/((s**(-2/19)/s)/s**(1/4)))**(-1/33) assuming s is positive. s**(205/1254) Simplify ((v/(v/v**(-11)))/v*v*v/(v/(v*v**(-10)))*(v**(-12)/v)/v*v**(-2/3))**(-4/7) assuming v is positive. v**(416/21) Simplify ((((h**(-4/13)*h)/h)/(h*h**(-18/7)))/((h*h*h**(-1/14)*h)/h*h)**(-1/7))**(-7) assuming h is positive. h**(-2143/182) Simplify ((d**(-1/8)/d**(3/10))/(d*d**(1/14)/d*d/d**7))**(-32) assuming d is positive. d**(-6164/35) Simplify ((w**(-2/21))**41)**(26/5)/(w**2/((w*w/(w*w**(-2/5)))/w))**(-34) assuming w is positive. w**(716/21) Simplify ((d**(1/6)*d)/((d*d**(-3/7)*d*d)/d))**(2/53)/(((d*d*d/((((d**(-3)*d)/d)/d)/d)*d)/(d**6/d))/(d**1)**(6/19)) assuming d is positive. d**(-78233/21147) Simplify ((r/r**(-2/7))/(r/(r*r/(r**(-2/7)*r)))*(r/(r*r*r**(-7)))/(r**(-8)*r))/(((r*r**2)/r)/((r*r**6)/r))**(-11) assuming r is positive. r**(-206/7) Simplify (z/(z**(-6)/z*z)*z**(-3/5))/(z**(-7)*z*z/(((z*z*z**(-7))/z)/z))*((z**5*z)/(z*z*z**(5/4)))**(9/2) assuming z is positive. z**(671/40) Simplify ((m**(4/3))**(21/5)/(m**(2/11)/(m*m/(m/(((m*m/(m*m/(m**(9/5)*m)*m))/m)/m)))))**(-45) assuming m is positive. m**(-3078/11) Simplify ((d**4/d*d)/d*d*d)/(d**3*d)*d/((d**4/d)/d)*(d**(3/5)/d)/d*d*(d**6/d**(2/9))/((d/(d*d**1))/d)**(-42) assuming d is positive. d**(-3538/45) Simplify (((k*(k*k**(-16)/k)/k*k**7)**(27/2))**(-50))**(-5/2) assuming k is positive. k**(-30375/2) Simplify ((t**(1/34)*t*t*t**(-16))/(t/t**(-21)*t/(t/(t*t*t**(-1/24)))))**43 assuming t is positive. t**(-665425/408) Simplify (j*(j**(2/53)*j*j)/j*j)**(-22/5)*(j*j**17)/j*j*j**(-3/32) assuming j is positive. j**(38501/8480) Simplify (a*a**(-2)*a*(a**(1/4)/a)/a*a)**(-48)*(a**(-6)/(a/a**(-3/4)*a*a))**(30/13) assuming a is positive. a**(27/2) Simplify ((w/(w*w**0))/((w**(-1/3)*w)/w)*(w**(1/14)*w)/w**1)**16 assuming w is positive. w**(136/21) Simplify (r**(1/3)/r*r*r**(-1/4)*r**(-12)/((r**(-6)*r)/r*r))**(1/13) assuming r is positive. r**(-83/156) Simplify (g*g/g**34)/(g**(3/28)*g)*g**(-2/133)*g/g**45*g assuming g is positive. g**(-40497/532) Simplify (((w/w**(4/3))/(w/(((w*w*w/(w*w**5)*w*w)/w)/w)))/(w**(-1/6)/(w/w**(2/7))))/((w/w**0)**(-10)/(w**(-7)/(w**0/w))) assuming w is positive. w**(23/42) Simplify ((o/((o*o**(-2/11))/o))**(-4/11)/(((o/o**(-6))/o)/o)**12)**(-15/7) assuming o is positive. o**(109680/847) Simplify ((((d**(-24)*d)/d)/(d**(-2/3)*d))/(d**(-1/17)/d)**(-1/15))**30 assuming d is positive. d**(-12446/17) Simplify v*v**7*v**(-7)*((v*v/(v**(2/27)*v))/v)/(v*v**(-2)*v)*(v**(-1/4)/(v/((v**(-7)/v)/v)))/(v**2)**(-21/4) assuming v is positive. v**(127/108) Simplify ((v**(-5/3)*v)/(v*v*v/(v*v*v**6)))**(-28)/((v/(v**1/v))**(-8/9)/(v**(-2)/v**0)) assuming v is positive. v**(-1102/9) Simplify (c*c/c**30*c*(c/(c**(-2/51)/c))/c*(c**13)**0)**(-28) assuming c is positive. c**(37072/51) Simplify ((x*x/(x**(-2)*x))**(-3)/(x/x**0)**(-25))/((x*x**(-1)*x)**(1/10)/(x*x**(-5)*x*x/(x**6/x)*x)) assuming x is positive. x**(99/10) Simplify (w*w**(22/3)*w)/(w/(w/((w**5*w)/w)))*w**21*w**(2/33) assuming w is positive. w**(838/33) Simplify a/(a/a**(1/3))*a**3*(a*(a/(a**1*a))/a)**4*((a**(-3/7)*a)/((a*a**(3/7))/a))/(a**(-6/5)/(a**(-2/11)/a)) assuming a is positive. a**(-584/1155) Simplify (((s**(-28))**(-1/4))**(-3/2))**42 assuming s is positive. s**(-441) Simplify ((u**(-4)*u)/u**(-2/5))**(-1/27)/((u**0)**(-28))**(17/6) assuming u is positive. u**(13/135) Simplify (t*t**(-2/19)*t*t**(3/2))**(-29)/(((t**(-1/8)/t)/(t/(t**(-3/5)*t*t*t)))/((t*t**(1/4))/t)**25) assuming t is positive. t**(-70279/760) Simplify ((k/k**4)/k**(3/2))/(k*k**(-1)*k*k*k**5)*(((k/((k**(-4)*k)/k*k))/k)/k**4)**(-30) assuming k is positive. k**(37/2) Simplify ((s**3/s)**(1/5)/((s/((s**11/s)/s)*s)/(s/(s*s**(5/4)))))**13 assuming s is positive. s**(1599/20) Simplify ((q*q**33)**40*q**(-2/13)*q/(q/q**(16/3)*q))**(2/15) assuming q is positive. q**(106406/585) Simplify (z**(-2/3)/z)**(-20)/((z**(-2/11)*z)/z**(-2))*(z**(4/3)/(z*z*z**0))**(-2/119) assuming z is positive. z**(39959/1309) Simplify ((l*l*l/(((l/l**(-16/5))/l*l)/l)*l*l/(l/(l*l**(-2/3))*l*l*l))/(l**(12/17)/(l/(l*l**(-4/3)))))**40 assuming l is positive. l**(-2528/51) Simplify (((((u**20/u)/u)/u)/(u**(-4/23)*u))/((u/u**(-19))/u**(2/35)))**(-2/103) assuming u is positive. u**(6068/82915) Simplify ((m*m/(m/(m*m**2)))**36)**3/(m**(-6)/m**(-7)*(m*m**(-1/5))/(m*m*m/(m*m/m**(5/4))*m)) assuming m is positive. m**(8669/20) Simplify q*((q**(-2/5)/q)/q)/q*q*q**(-2/15)*q**(-1/2)/q**4*(q*q**1)**(30/7)*(q**5*q)/(q*(q/q**(2/5))/q) assuming q is positive. q**(1667/210) Simplify ((o/(o/o**(-1/7)))**9/(o/o**(-7))**(-22))**(-2/105) assuming o is positive. o**(-2446/735) Simplify ((((s/(s/((s/s**(-4/7))/s)))/s)/(s**5*s))/((s/(s*s**(-1/5)*s))/s**(-2/3)))/(((s**(-1/6)*s)/s**(-1/2))/(s/(s*s**(-1/3)))**(-50)) assuming s is positive. s**(-2551/105) Simplify ((p**(-2))**(-40))**47/(p**7*p/p**(-2)*(p**(1/3))**(-1/29)) assuming p is positive. p**(326251/87) Simplify ((l*l**(-2/7))**(-21)/(l*l*l/((l*l**(-6))/l)*l*l**1))/((l**(1/3)*l*l)**14*l**1*l**5) assuming l is positive. l**(-194/3) Simplify (b**(-11))**(-4/3)*((b*b**(-14)/b*b)/b)/b**20 assuming b is positive. b**(-58/3) Simplify (((p*p*p*p**1/p*p*p)**(-6)/(p/(p**1/p))**(-1/4))
{ "pile_set_name": "DM Mathematics" }
5*h**4 + 38*h**2)*(-4*h + 6*h - 3*h). -15*h**5 Expand (-1 + 1 - 2)*(3*p**2 - 2*p**2 - 2*p**2) + 2*p**2 - 3*p + 3*p + p**2 + 0*p**2 - 3*p**2 + 2*p**2 - p**2 + 0*p**2 - 4*p**2 + 4*p**2 + 4*p**2. 7*p**2 Expand (0 + 0 - 2*i**2)*(-4 + 3 - 1)*(-7 + 5 - 11). -52*i**2 Expand (0*o**4 + o**4 - 2*o**4)*(1 + 1 + 0) - 3*o**2 + 3*o**2 - 2*o**4 - o + o - o**4 - 10*o + 10*o - 3*o**4 + 13*o**3 + 26*o**4 + 7*o**3 - 20*o**3. 18*o**4 Expand (2 - 3 - 1)*(-6*b + 26*b + 2 - 9*b) + 2*b + b - 2*b. -21*b - 4 Expand 2*z**5 - 5*z**5 + 2*z**5 + (-2*z**5 - 5*z**4 + 5*z**4)*(2 - 7 + 1) - 3*z**5 + 3*z**5 + z**5. 8*z**5 Expand (2*b**3 + 6*b**3 + 11*b**3)*(5 - 5 + 2*b**2) + (-1 + 0 + 2)*(0*b + 0*b - b**5). 37*b**5 Expand (3*u - u**2 - 3*u)*(2 - 5 + 5) - 3*u**2 - u**2 + 0*u**2 - 2*u**2 + u**2 + 2*u**2 + u. -5*u**2 + u Expand (s + 0*s - 3*s)*(-2 + 2 + 2 + s)*(-3*s - 5*s + s)*(-2 + 2 + 2*s**2). 28*s**5 + 56*s**4 Expand ((-5*f + 3*f + 0*f)*(0*f + 4*f - 5*f) + 0*f**2 + 2*f**2 + 0*f**2 - f**2 - 2*f + 2*f)*(6 - 8 + 11). 27*f**2 Expand (c + c**2 - c)*(-4*c**3 + 5*c**3 + 6*c + 26*c). c**5 + 32*c**3 Expand (-2 - 3 + 3)*(-5*m - 2*m + 6*m) - m - m + 16*m + (-m + 3*m + 0*m)*(-4 + 5 - 3). 12*m Expand (3 - 2 - 2)*(25*i**3 + 22*i**3 - 19*i**3). -28*i**3 Expand (0 - 1 + 0)*(-2*s**2 + 4*s**2 - s**2)*(5*s**3 + 3 - 3). -5*s**5 Expand -3*i**4 - 3*i**3 + 7*i**4 - 3*i**4 + (-3*i - i**4 + 3*i)*(-4 + 0 + 3). 2*i**4 - 3*i**3 Expand (3 - 2 + 0)*(4*i - i - i)*(-3*i - 2*i + i). -8*i**2 Expand (-3*a**3 + 0*a**3 + a**3)*(-2 - 1 + 5)*(30 - 30 - 2*a). 8*a**4 Expand (-5*g**3 + g**3 + 2*g**3)*(0 - 3 + 2 - 17*g). 34*g**4 + 2*g**3 Expand (-9*s**2 + 0*s**2 - 2*s**2)*(-s**2 + 2*s**2 - 2*s**2). 11*s**4 Expand (-3 - 4 + 1)*(-2 + m - 3*m + 4). 12*m - 12 Expand (2 + 0 + 12)*(-3*x**4 - 5*x**4 + 5*x**4). -42*x**4 Expand (5*p + 4*p - 2*p)*(-4*p + p + 4*p). 7*p**2 Expand (40 + 2 - 10)*(3*d**5 - 2*d**5 + d**5). 64*d**5 Expand 2*n + 4*n**4 - 2*n + (4*n**2 - 2*n**2 + 0*n**2)*(4*n**2 - 3*n**2 + n**2) - 4*n**4 - 2*n**4 + 5*n**4 + n**4 + 3*n - 3*n. 8*n**4 Expand -3*m**2 + 3*m**2 + 2*m**2 - 2*m**2 + m - m + (-2*m**2 - m**2 + 4*m**2)*(1 - 2 - 1) + 0 + 0 - m**2 - m - 2*m - 2*m**2 + m**2. -4*m**2 - 3*m Expand (-3 - 1 + 3)*(2*s + 8*s - 5*s) + 5*s + 0*s + s. s Expand (8 - 5 + 2)*(-3 - 2 + 4)*(1 - 5 + 0)*(-w**3 + 3 - 3). -20*w**3 Expand (-x + 6*x - 3*x)*(-6 + 5 + 0) + 0*x + 59*x + 14*x. 71*x Expand (-2*m - m**4 + 2*m)*(2 + 3 - 3)*(2*m - 2*m + 3*m). -6*m**5 Expand (-62*q**4 + 32*q**4 + 33*q**4)*(-2*q + 2*q - 3*q). -9*q**5 Expand 0*z**4 - 2*z**4 + 0*z**4 + (-4*z**2 + 3*z**2 - z**2)*(-3 + 3*z**2 + 3). -8*z**4 Expand ((1 - 1 - 1)*(2 - 2 + 1) - 3 + 12 - 7)*(1 - 2*t - 1). -2*t Expand -i - i + 0*i + 0*i - 3*i + 2*i + 1 + i - 1 + (-3 + 1 + 0)*(5*i - i - 5*i) - i + 3*i + 0*i + 1 - i - 1 - i + 2 - 6*i - 1. -6*i + 1 Expand (-n + 6*n + 3 - 6*n)*(-1 - 3*n**4 + 1). 3*n**5 - 9*n**4 Expand (-o - 2 + 2)*(2 - 5 - 3)*(-o**2 - 1 + 1). -6*o**3 Expand (3 - 5 + 0)*(-s - 5*s + 4*s)*(-6*s + 0*s + 0*s). -24*s**2 Expand (-k**3 + k**3 + k**3)*(k + k - k) + 2*k**4 + 2*k**4 - k**4 - 4 + 2*k**4 + 14*k**3 - 14*k**3 + (-3*k + 3*k - k**4)*(-4 + 6 - 1). 5*k**4 - 4 Expand (3 - 4 + 2)*(0*y**2 - 6*y**2 + 0*y**2). -6*y**2 Expand (-4*z + 0 - 1 - 1)*(-1 - 3 + 0). 16*z + 8 Expand (-2*t**3 + 0*t**3 + 2*t - 4*t)*(-4*t - t + 3*t). 4*t**4 + 4*t**2 Expand (4 + 4 + 2)*(-2*q + 4*q - 4*q) + (-4*q - 3*q + 5*q)*(2 + 1 - 4) + 4*q + 0*q - 2*q. -16*q Expand 2*z + 0*z - z + (-4 - 3 - 1)*(5*z - z - 3*z). -7*z Expand (2*a - 2*a - 2*a + 0*a + a - 2*a - a + a - 2*a + (-a + 3*a - 3*a)*(4 + 1 - 4) - 3*a + 5*a - a)*(1 - 1 + 2*a). -10*a**2 Expand (-n + n**2 + n)*(0 + 2 - 4) - 15*n + 17*n - 2*n**2 + 0*n**2. -4*n**2 + 2*n Expand (-3 + 2*f**2 + 3)*(0 + 0 - 3*f). -6*f**3 Expand 3*h**2 - 3*h**2 - h**3 + 2 + 4*h - 2*h**3 - 4*h + (-4*h + 4*h + 2*h**2)*(2 + 2*h - 2). h**3 + 2 Expand (2*w**3 - w + 3*w - w**3)*(-2*w - 1 + 1). -2*w**4 - 4*w**2 Expand (12 - 10 - 11)*(3*a - 5*a - a). 27*a Expand (-2*a - a**2 + 2*a)*(-1 - 1 + 0) + (4*a**2 - 3*a**2 + 0*a**2)*(1 - 3 + 3). 3*a**2 Expand 6*o**5 - 2 + 2 + (2*o**4 + 3*o**2 - 3*o**2)*(-2*o + 2*o + 2*o). 10*o**5 Expand 4*l + 0*l - 3*l + (-3 + 3 - 2*l)*(7 - 3 - 3) - 5 + l + 5 + (2 - 3 + 2)*(-2*l - 2*l + 2*l) + 3*l + l - 6*l + l + 0*l - 2*l - 5*l + 2*l - 10*l. -18*l Expand (-5*o + o + 2*o + o - 2 + 2 + 2*o - 6*o + 2*o + (0 + 2*o + 0)*(-1 - 4 + 3) + 3 + 2*o - 3 - 1 + 1 - 2*o + o - 1 + 2*o - 2*o)*(3 - 1 + 4). -36*o - 6 Expand (8*h**2 - 12*h**2 + 5*h**2)*(-2*h**3 + h**3 + 6*h**3). 5*h**5 Expand -t**2 - t**2 + 4*t**2 - t**2 - t**2 + t**2 + (-1 + 3 + 0)*(-4*t**2 + 2*t**2 + 0*t**2) + 0 + 0 + t**2 + 0 - t**2 + 4*t**2 + 1. t**2 + 1 Expand (-5*u + 5*u + 15*u)*(-1 + 4 - 1). 30*u Expand (-n - n + 0*n)*(-n**2 - n**2 - n**2) + 2*n**2 + 38*n**3 - 9*n**2 - 40*n**3. 4*n**3 - 7*n**2 Expand (5 - 1 - 3)*(2 - 2 - 2*j)*(-11*j**4 + 47*j**2 - 47*j**2). 22*j**5 Expand (-2 + 2*b + 2)*(1 - 1 + 2*b**2) + (-1 + 3 - 4)*(-4*b - 2*b**3 + 4*b). 8*b**3 Expand (-3 - 3 + 4)*(13 + 18 - 25)*(3*p + 0*p - 5*p). 24*p Expand (3*j - 10 + 10)*(j - j - 3 + j**2). 3*j**3 - 9*j Expand (-2*b**2 + b**2 + 0*b**2)*(3 + 1 + 10). -14*b**2 Expand (-1 + 1 - r**2)*(-67*r**2 + 36*r - 36*r). 67*r**4 Expand (-4 + 4 + l)*(3*l**2 - 4*l - l**2 + 0*l**2). 2*l**3 - 4*l**2 Expand 10*k + 2*k**3 - 10*k + 2 + k**3 - 2 + (1 - k - 1)*(-2*k**2 - 4*k**2 + 5*k**2). 4*k**3 Expand -4*y**2 + 4*y**2 + 2*y**5 - 4*y**2 - 5*y**5 + 4*y**2 + (-1 + 1 + 2*y)*(-3*y**4 + 2*y**4 + 3*y**4) - 5*y**5 - 80*y**2 + 80*y**2. -4*y**5 Expand (-2*i**2 + 0 + 0)*(i**3 - 2*i**3 + 0*i**3) - 3*i**5 - 7*i**5 + 3*i**5 + (i - 2*i**4 - i)*(2 - i - 2). -3*i**5 Expand (0*l - 4*l + 2*l)*(-2 - 4*l + 2) + 2*l**2 + l**2 - 5*l**2 + (-2*l - 3*l + 3*l)*(-l + 0*l + 0*l) + l**2 - 1 + 1. 9*l**2 Expand (-4 - 8 + 4)*(w - 3*w + 4*w). -16*w Expand (220*v**4 + 149*v**4 - 68*v**4 - 54*v**4)*(v - 3*v + 0*v). -494*v**5 Expand (-t + 5*t - t)*(4 - 1 - 2)*((-3 + 1 + 1)*(2 - 4 + 1) - 3 + 1 + 5). 12*t Expand (7*z - 3*z + 0*z)*(-3*z**3 + 5*z**3 - 4*z**3 - 2*z). -8*z**4 - 8*z**2 Expand (5*z - 3*z + 2*z)*(4*z**4 + 4*z**4 - 5*z**4) + (2*z**3 + 0*z**3 + 0*z**3)*(-3*z**2 + 0*z**2 + z**2) + 0*z**5 + 3*z**5 - 2*z**5. 9*z**5 Expand (4*r**4 + 4*r**2 + r**4 - r**2)*(-2*r - r + 2*r). -5*r**5 - 3*r**3 Expand (-2 + 2 - 3*r)*(-8 + 19 + 8). -57*r Expand 97*g**4 - 6*g**2 - 98*g**4 - 2*g**2 + (2*g + 0*g - 3*g)*(3 - 3 + g**3). -2*g**4 - 8*g**2 Expand (-2*p**2 - 11*p + 11*p)*(0 + 0 - 3) + 3*p**2 + p**2 - 5*p**2 + (1 + 1 - 1)*(-p**2 - p**2 + p**2). 4*p**2 Expand (d**4 - 8*d**4 - d**4)*((4 + 3 - 5)*(1 - 4 + 1) + 1 + 0 - 2 + 1 + 5 - 4)*(0 - 2 + 0). -48*d**4 Expand (-380*o + 380*o + 2*o**2)*(-2*o**3 + 0*o**3 + 0*o**3). -4*o**5 Expand (-10 + 10*r + 10)*(2*r + 3*r - 9*r + (5 + 0 - 4)*(-2*r + 3*r + 0*r)). -30*r**2 Expand (d + 3*d + 0*d)*(4*d**2 - d**2 + 7*d**2). 40*d**3 Expand (3*i + 0*i - 4*i)*(-1 + 1 + 2*i**3) + (0 + 0 - 5*i**2)*(2*i**2 + 2 - 2). -12*i**4 Expand (0*p**2 + 2*p**2 - 4*p**2)*(-4*p**3 + p**3 + p**3) + 12*p**5 - p**5 + 14*p**5. 29*p**5 Expand (2*j - 4 + 4)*(2*j**2 - 3*j**2 + 4*j**2)*(42*j - 11*j - 20*j). 66*j**4 Expand (-3 - f**5 + 3)*((-1 + 2 - 3)*(3 - 2 + 1) + 3 - 6 + 1 - 4 + 1 + 2 + (-1 + 0 + 0)*(-2 + 6 - 3)). 8*f**5 Expand (a**3 + 2*a**3 - 5*a**3)*(-1 + 8*a - 11*a + 2)*(2 + 6 - 2). 36*a**4 - 12*a**3 Expand (-8 + 8 + 2*a**2)*(3 - 3 + 1 - 2 + 4 + 0 + 1 - 2 - 1 + (0 - 2 + 0)*(6 - 1 - 3)). -6*a**2 Expand (1 - 1 + s)*(-3*s**4 - 4 + 4) + 0*s**5 + 3*s**5 - 15*s**5. -15*s**5 Expand (s**4 + 2 - 2)*(2*s - 3*s + 3*s) + (2*s**4 + 3*s**3 - 3*s**3)*(-4*s - 7*s + 0*s). -20*s**5 Expand (-x**2 + 2*x**2 - 2*x**2)*(x**2 + 0*x**2 + 0*x**2) - x + 5*x - x**4 - 7*x. -2*x**4 - 3*x Expand 3*x**2 - 4*x**2 + 0*x**2 + (1 - 2 + 0)*(-2*x**2 - 5*x**2 + 5*x**2). x**2 Expand (0*m - 4*m + 5*m + m - m - m + (-m + 1 - 1)*(-2 + 3 + 1))*(0 - 1 + 5). -8*m Expand 3 - g**2 - 3 + (-4 - 1 + 3)*(-11*g**2 + 103 - 103). 21*g**2 Expand -7*u + 6*u - 13*u + (-2*u - 5*u + 5*u)*(1 + 0 + 1) - u - u + 0*u - u - 1 + 1 + (5 - 2 - 2)*(0*u + 4*u - 2*u). -19*u Expand (2 + 3 - 2)*(1 + j**4 - 1). 3*j**4 Expand -2*p**2 - p**2 - 3*p**2 + (2 + 0 - 4)*(5*p**2 + 0*p**2 - 3*p**2) + (4 + 0 - 3)*(-3*p**2 + 0*p**2 + 2*p**2). -11*p**2 Expand (4*h**2 - 3*h**2 + h**2)*(4 + 2 - 2)*(3*h + 0*h - h). 16*h**3 Expand (0 - 2*v + 0)*(-1 - 3 + 3) + (-6 - 4 + 4)*(-4*v - v + 3*v). 14*
{ "pile_set_name": "DM Mathematics" }
79 = 4*m. What is the ten thousands digit of h? 4 Let z be (0/(5/1))/1. What is the tens digit of z + 747 - (-2 - -5)? 4 What is the hundreds digit of 4*(-2)/(-1) + 406011/57? 1 Suppose -1543*g = -1570*g + 396684. What is the tens digit of g? 9 Let n be -6*(-3 - 224/6). Let x = n - 167. What is the tens digit of x? 7 Let j = 40491 - 23803. What is the thousands digit of j? 6 Suppose 5*l - 2*i = 23, -5 = 2*i - 7. Suppose -5 + 1 = -2*q - 4*j, 2*q = -l*j + 4. Suppose q*f - 5*k = 6*f - 216, 3*k = -4*f + 208. What is the tens digit of f? 4 Let l be (-11 + 12)*(1 - (-8 + 0)). Suppose -3*w = l, 0 = k - 0*k - w - 51. What is the tens digit of 2288/k + 4/3? 4 Let c(p) = 25*p**2 - 380*p + 117. What is the units digit of c(36)? 7 Suppose -1333*b = -1338*b + 5*i + 48465, 0 = 3*b + 2*i - 29104. What is the thousands digit of b? 9 Let i(s) = 5735*s**3 + 6*s**2 + 7*s - 9. What is the units digit of i(1)? 9 Suppose -590 = -a - v, -2*a - 10*v + 6*v = -1184. Suppose k + 2*j + 291 = 2*k, 2*k - a = -2*j. Let h = -184 + k. What is the units digit of h? 9 Let a(r) = r**3 + 6*r**2 + 2*r + 13. Let o be a(-6). Let z be (-72)/6 + o*2/1. What is the units digit of (-55*z/25)/(2/13)? 3 Let z = -7 + -18. Let w = -20 - z. Suppose 45 - 20 = w*y. What is the units digit of y? 5 Suppose 87*w - 8180 = 83*w. Suppose -14*h + 19*h = w. What is the hundreds digit of h? 4 Let n = -12346 + 23849. What is the ten thousands digit of n? 1 Let q(k) = -k + 19. Let t be q(17). Suppose -49 = i - t*i. Let d = 128 - i. What is the tens digit of d? 7 Suppose -22*f + 177656 + 20256 = 0. What is the units digit of f? 6 Let z(x) = -70*x - 131. Let m be z(-2). What is the thousands digit of m/(-36)*1546*-4? 1 Suppose -4*u = -23 - 61. Suppose 3*i + 3*l - u = 6*i, -3*i - 3*l = 9. Let w(m) = 4*m**2 + 4*m - 6. What is the units digit of w(i)? 4 Suppose 95 + 187 = -6*l. Let v = l - -90. Suppose 13*f + v = 14*f. What is the units digit of f? 3 Let z(a) = a**3 - 5*a**2 - 57*a + 67723. What is the hundreds digit of z(0)? 7 Suppose -63118 - 28338 = -53*q + 244935. What is the thousands digit of q? 6 Let h = 83114 + -38924. What is the hundreds digit of h? 1 Suppose -3*w + 18 - 138 = 0. Let k = 48 + w. What is the tens digit of (12/k)/((-15)/(-340))? 3 Let h(p) = -28*p - 96. Let j be h(-4). Suppose -4*n = j*n - 18060. What is the units digit of n? 3 Suppose -4*b - 6 + 14 = 0. Let d(g) = -b + 0 - 12 - 6 + 13*g. What is the units digit of d(8)? 4 Let l(z) = -54 - 125*z + 106*z + 12 + 72*z. What is the tens digit of l(6)? 7 Let y be (2 + -6)*(-3)/6. Suppose r + 3*h - 214 = 0, -3*h = -5*r + y*h + 1070. Let c = r - 133. What is the units digit of c? 1 Let u(i) = -i**2 + 3*i + 10. Let a be (0/3)/(5 - 3). Let v be u(a). Suppose -89 - 11 = -v*j. What is the tens digit of j? 1 Suppose 5*w + 3*y - 5094 = y, 5*w - 5085 = -5*y. Suppose -4*c + 2*p = -w, 0 = 3*c + 3*p + 138 - 912. What is the hundreds digit of c? 2 Suppose 0 = 9*b - 12*b + 9. Suppose -2*o = -b*u - 0*u, -4*o + 2*u = -8. Suppose -2*t + 3*m + 43 = -225, -o*m = -3*t + 396. What is the units digit of t? 8 Suppose -5*u - 177549 = -2*z, 314*u = 2*z + 310*u - 177542. What is the tens digit of z? 5 Let a be ((-4)/10)/(4/(-10)) - 5. What is the units digit of 1635519/1071 + a/42? 7 Let p(i) be the second derivative of -i**5/20 + i**4/4 + i**3/3 + 155*i**2 + 61*i. What is the tens digit of p(0)? 1 What is the tens digit of (-24 + 26)*((-30)/(-16))/((-9)/(-9948))? 4 Let m(h) = -4667*h + 2678. What is the hundreds digit of m(-3)? 6 Suppose 11*h - 14*h + 366 = 0. Suppose h = i + 27. Suppose -5*z - i = -6*z. What is the units digit of z? 5 What is the units digit of (-71)/(-142) - (-64757)/2? 9 Suppose -2*a - 5 = -y, 0*a + 3 = y - a. What is the tens digit of y/(3 + (1017/(-114))/3)? 3 Let u = 7729 - 3738. What is the hundreds digit of u? 9 Let w be (-3 - -6)/(2/2). Suppose -3*g = -5*t + 5, 4 = -w*t + 7. Suppose g = 3*y + 46 - 301. What is the tens digit of y? 8 Suppose -f + 10 = 4*f, 5*q - f - 3438 = 0. Suppose -3*o + 898 = 3*c + 208, -2*o + q = 3*c. What is the units digit of c? 8 Let x(z) = -15*z**3 + 2*z**2 - 2*z. Let q be x(1). Let t be ((140/q)/(-7))/((-4)/(-6)). Suppose -t*f = -f - 116. What is the units digit of f? 6 Let f(b) = b**3 - 11*b**2 - 7*b - 49. Let j be f(14). Suppose -j = -5*y - 4*m + 1171, -5*m + 1286 = 4*y. What is the hundreds digit of y? 3 Let o(t) = 3*t - 2. Let q be o(2). Let y = 252 + -256. What is the tens digit of (-92)/(q + 24/y)? 4 Suppose -12 = -4*d, -83 - 221 = -n - 3*d. Let l = n - 39. What is the tens digit of l? 5 Suppose 3*y - 2*y - 6 = 0. Let o = 1967 + -1956. Suppose y*b + 675 = o*b. What is the hundreds digit of b? 1 Suppose -5*a = -z + 27, 3*a - 34*z + 21 = -35*z. Let v(l) = -4 + 5*l**2 - 10*l - 4*l**2 - 12. What is the units digit of v(a)? 0 Suppose -2 = r - 4*v, 0 = 2*r - 0*r - 5*v + 16. What is the tens digit of ((-1043)/21)/(3/r)? 9 What is the tens digit of (-583008)/(-63) + (832/336)/(-26)? 5 Let r(w) = -17*w**3 - 19*w**2 - 49*w + 13. What is the ten thousands digit of r(-14)? 4 Let h(y) = -y**3 + 5*y**2 - 3*y + 19. Let l be h(4). Suppose -l = -r - 19. Let m = r + 104. What is the units digit of m? 8 Let z(o) = -379*o + 4. Let f(h) = 187*h - 2. Let r(a) = 7*f(a) + 3*z(a). What is the units digit of r(6)? 0 Let f(o) = o**2 - 32*o - 84. Let p be f(35). Suppose 5*r = 2*d + 86, 3*r = 5*d + 23 + p. What is the tens digit of r? 1 Suppose 14141 = 2*n + p, -5*p = 2*n - p - 14138. What is the thousands digit of n? 7 Suppose 670*x - 691*x = -99918. What is the units digit of x? 8 Let a(z) = -z**3 - z**2 + 11*z + 6. Let q be a(-4). Suppose 8*n = -2 + q. What is the tens digit of ((-1032)/6)/(-1 - n)? 8 Suppose -32*b + 29*b + 3*m = -8121, 2*b + 2*m - 5394 = 0. Suppose b = 2*p + 330. What is the thousands digit of p? 1 Let p(m) = m + 8. Let y be p(-5). Suppose y*z + 5*c = -2*z - 15, 5*z - c - 15 = 0. What is the units digit of (z + 17/(-4))/(3/(-96))? 2 Let d = 135 + -136. Let k(r) = -647*r - 3. What is the tens digit of k(d)? 4 Let o = 50888 + -28110. What is the hundreds digit of o? 7 Let n = 54 + -499. What is the units digit of (0 - 10/2) + (-59 - n)? 1 Let f(g) = -g**3 + 23*g**2 + 6*g - 136. Let r be f(23). Suppose 0 = 5*n - 3*l + 755 - 4101, 2*n - 1332 = -r*l. What is the hundreds digit of n? 6 Suppose 0 = -5*o - 10, -4*v + 64013 = 5*o - 30069. What is the thousands digit of v? 3 Let j(q) = -784*q + 19461. What is the ten thousands digit of j(12)? 1 What is the units digit of ((-618267)/(-13))/((-7)/(56/(-6)))? 2 Suppose -3*z + 86190 = 4*y, 5*y - 8*y = -2*z + 57477. What is the units digit of z? 4 Suppose 3*n = -4*d + 11683 + 9542, n + 1 = 0. What is the thousands digit of d? 5 Let s be (2/(-4))/(-2 - 63/(-30)). Let i(j) = 18*j**2 - 9*j - 23. Let f be i(s). Suppose 5*d = d + f. What is the units digit of d? 8 Let m = -2840 + 9032. What is the units digit of m? 2 Let q(d) be the third derivative of 5*d**4/24 + 2*d**3/3 + d**2. Let b = -34 - -42. What is the units digit of q(b)? 4 Let s(t) = -4*t - 3. Let y be s(-2). Suppose w - 53 = p, w + 0*p = y*p + 45. Suppose 0 = -4*i - 4*x + 228, 2*i - i - w = -2*x. What is the tens digit of i? 5 Let v(a) = -a**3 + 5*a + 5. Suppose -2*i - 2*i = -12. Let g be (-4)/i*((-6)/(-1))/2. What is the tens digit of v(g)? 4 Let d be (3 - (-3 - (-10 + 4))) + 5. Suppose d*b = 4*k - 2242, -b + 935 = 3*k - 756. What is the hundreds digit of k? 5 Let n(s) = -2*s**3 - 4*s**2 - 7*s + 4. Let i = -25 - -17. What is the hundreds digit of n(i)? 8 Let f(j) = -7*j + 4*j**2 + 0*j - 1 + 185*j**3 - 184*j**3. Let h be f(-6). What is the tens digit of (-6)/(h/132 + (-12)/(-72))? 8 Let h(z) = -24*z**2 + 55*z**2 + 10*z - 14*z**2 - 14 - 18*z**2. Let t be h(9). Let a(k) = k**3 + 9*k**2 - 3*k + 3. What is the tens digit of a(t)? 1 Let t(m) = -11*m + 25. Let j(p) = -p + 2. Let v(s) = -6*j(s) - t(s). Let l be v(6). Let y = l + -59. What is the units digit of y? 6 Suppose -801509 = -47*i + 931710. What is the thousands digit of i? 6 Let h = -10543 - -44969. What is the units digit of h? 6 Let g be -3 + 1/2*(26 - 6). Let h be -70 + (3 - g - -6). Let r = h + 108. What is the units digit of r? 0 Suppose 4*a + 2*x - 36974 = -x, 3*x + 37010 = 4*a. What is the units digit of a? 8 Let d(s) be the third derivative of s**5/30 + 17*s
{ "pile_set_name": "DM Mathematics" }
rime factors of d. 3, 7, 29 Let n = -1165 + 1991. List the prime factors of n. 2, 7, 59 Let v be 60/(-40)*(-4)/(-3). Let x(p) = p**3 + 5*p**2 + 5*p + 5. Let c be x(v). Suppose -c*z + 255 + 88 = 0. What are the prime factors of z? 7 Let m(o) = -o**3 - o**2 - 15*o - 39. List the prime factors of m(-5). 2, 17 Suppose 0 = -5*u - 2*g + 9, 2*u - 21 = 12*g - 7*g. Suppose -u*t = 15*t - 1926. What are the prime factors of t? 107 Let c = 80 - 80. Suppose 3*s = 2*t - 396, -4*t + 4*s = -c*s - 788. What are the prime factors of t? 3, 5, 13 Let c(p) = -p**3 - 5*p**2 - 1. Let h be c(-2). Let w(k) = -11*k + 16. What are the prime factors of w(h)? 3, 53 Suppose 0*s = s. Suppose 7*c - 2*c - 10 = s. List the prime factors of (c/(-6))/(3/(-522)). 2, 29 Suppose 112*q = 104*q + 18368. What are the prime factors of q? 2, 7, 41 Let q(k) = -20 + 28 + 2*k + 28. List the prime factors of q(0). 2, 3 Suppose 8*c - 7007 = 7273. What are the prime factors of c? 3, 5, 7, 17 Let d(p) = -p**3 + 3*p**2 + 2*p + 8. Let z be d(4). Let s be (5 - -105)*(1 - z). Suppose 0 = -v - 0*y - 4*y + 41, 3*v - y - s = 0. List the prime factors of v. 37 Suppose -15*u - 135 = -2205. List the prime factors of u. 2, 3, 23 Suppose 3*a = 61 + 14. Suppose -20*p - 55 = -a*p. List the prime factors of p. 11 Let m = 11 - 9. Suppose m - 6 = -j. Suppose -5*v + v + 83 = 5*a, v - j*a - 47 = 0. List the prime factors of v. 3 Let v(x) = -x**3 - 11*x**2 - 10*x. Let l be v(-10). Suppose -5*m + 31 = -3*p, -2*m - 3 = p - l*m. List the prime factors of 2*2*p/(-7). 2 Let w(v) = -41*v + 2. Let b(h) = -h**3 + 4*h**2 + 4*h + 3. Let d be b(5). Let a be w(d). What are the prime factors of a/20*5/1? 3, 7 Let j(v) = v**3 - 7*v**2 + 2*v. Let h be j(8). Let f = h + -46. Suppose -2*x + 4*y - f = -158, 4*x + 2*y - 198 = 0. What are the prime factors of x? 2, 13 Suppose 5*b = -4*w + 6317, 6*w + 3*b = 10*w - 6341. List the prime factors of w. 1583 Let c(a) = 12*a**2 + 13*a - 15. List the prime factors of c(-9). 2, 3, 5, 7 Let x = -7 - -7. Suppose g - 4*g + 24 = x. Suppose -s + 49 + g = 3*p, -4*p - 5*s = -87. What are the prime factors of p? 2, 3 Let n(h) = -1769*h + 147. What are the prime factors of n(-1)? 2, 479 Let t be (-6)/(-6) + 6/1. Let i be (-10)/35 - (-23)/t. List the prime factors of i/4*4 - -28. 31 Let m(s) = 114*s**3 - s**2 + 2*s - 1. Let o be m(1). Let a = o - 52. What are the prime factors of a? 2, 31 Let m = 461 + -323. Let h be ((-1)/(-2))/((-11)/(-10) + -1). Suppose h*x - m = -28. What are the prime factors of x? 2, 11 Suppose 3*u - 138 = -3*u. Let s = u - -34. List the prime factors of s. 3, 19 Let r(h) be the third derivative of -5*h**4/12 - h**3/6 + h**2. Let l be r(-7). Let y = -40 + l. What are the prime factors of y? 29 Let k = -39 - -48. What are the prime factors of ((12/k)/(4/90))/1? 2, 3, 5 Let l be 66 + (2 - -1) + -1. Let h = 129 - l. List the prime factors of h. 61 Suppose 0 = 2*a - 6*a + 5*s - 10, 2*a + 6 = 3*s. Suppose -2*z + 40 + 156 = a. List the prime factors of z. 2, 7 Suppose 0 = q - 4*w - 438, -4*q + 8*w - 13*w = -1794. List the prime factors of q. 2, 223 Suppose -x - 24 = -o, 4*o - 12 - 8 = 0. Let r = 108 + x. List the prime factors of r. 89 What are the prime factors of ((-53)/4)/(5*(-7)/980)? 7, 53 Suppose -9*d - 117 = -12*d. Suppose z = -3 + d. What are the prime factors of z? 2, 3 Let h = 980 + -625. List the prime factors of h. 5, 71 Suppose -10*t + t + 27 = 0. List the prime factors of 381/2 - t*1/6. 2, 5, 19 Let u = 311 + -217. Suppose 184 = 5*v + 4*i, 3*v + 5*i - 6 - u = 0. What are the prime factors of v? 2, 5 Let u(o) = 2*o - 12. Let d be u(8). Let h(x) = 2*x + d*x - 5*x + 4. List the prime factors of h(2). 2, 3 Let i be ((-6)/2)/((-2)/4). Suppose i*z + 16 = 2*z. Let u(g) = -g**3 - 4*g**2 - 2*g + 1. List the prime factors of u(z). 3 Suppose -2*h = 3*h - 25. Suppose -4*c + 6 = 5*d, h*c - 5*d - 26 = c. Suppose 21 = r + 4*k, 8*k = c*k + 12. What are the prime factors of r? 3 Let k = 583 - 50. List the prime factors of k. 13, 41 List the prime factors of 4/(-12)*-24 - -779. 787 Let p(t) = 2*t**2 - 6*t + 2740. What are the prime factors of p(0)? 2, 5, 137 Let l be 0 + (-4)/(-10) - (-1914)/15. Suppose -l = -6*n + 52. What are the prime factors of n? 2, 3, 5 Let c = 359 + 28. List the prime factors of c. 3, 43 Let b(h) = h**2 + 8*h + 27. Let l be b(8). Suppose -5*v - l = -3*k, 3*v + 204 = 4*k - v. What are the prime factors of k? 2, 5 Let s be ((-11)/1)/(-3 + 2). Let j = s + -6. Let c = j - -5. List the prime factors of c. 2, 5 Let v = 674 - 36. What are the prime factors of v? 2, 11, 29 Let k(t) = -2*t**2 - 2*t + 2. Let z be k(-3). Let a = z - -10. Suppose 2*b + 3*b - 135 = a. What are the prime factors of b? 3 Suppose 0 = 7*z + 28, 2*n = 4*z - 7*z + 4220. List the prime factors of n. 2, 23 Let f be (-21)/(-2) - 2*(-6)/(-8). Suppose -f*b + 397 = 73. List the prime factors of b. 2, 3 Suppose f + f - 2870 = 0. What are the prime factors of f? 5, 7, 41 Suppose -s = -4*w + 6, -9 = -s - 2*w + w. Suppose 258 + 162 = s*t. List the prime factors of t. 2, 5, 7 Let z = 1267 + -480. List the prime factors of z. 787 Let y = -18 + 20. Let s be -17 + (-2 - -4) + y. Let w = s + 49. List the prime factors of w. 2, 3 Suppose -32 = u - 5*c, 0 = -u + 4*u + 2*c + 28. Let s be 130/u + 4/(-24). Let p(t) = -t**2 - 15*t - 13. List the prime factors of p(s). 31 Let j(y) = -26*y**2 + 105*y - 2. Let s be j(4). Suppose -2*q - 5 + 13 = 0. What are the prime factors of 246/q + s/4? 2, 31 Suppose 0 = 6*l - 9*l + 1431. What are the prime factors of l? 3, 53 Let k be (-6)/9 + (-12)/9. Let g be (-314)/k - (-6)/(-2). Let j = -91 + g. What are the prime factors of j? 3, 7 Let f(p) = -42*p - 104. List the prime factors of f(-20). 2, 23 Suppose j + j = 1582. List the prime factors of j. 7, 113 Let h(b) = -b**3 + b**2 - 2. Let s(x) = -x**2 + 5*x. Let u be s(6). List the prime factors of h(u). 2, 5 Suppose -7490 = 61*x - 75*x. List the prime factors of x. 5, 107 Suppose -12*v - 63 = -5*v. Suppose -2*d + 5*u = 29, 12 + 5 = -d + 5*u. List the prime factors of (v - d)*34/6. 17 Let f = -42 - -74. Let d = -16 + f. Suppose d = t + 3*t. List the prime factors of t. 2 Let f(h) = 29*h**3 + 2*h**2 - 2*h. Let g(y) = y**2 + 4*y + 4. Let k be g(-3). List the prime factors of f(k). 29 List the prime factors of 1 + 5697/(-18)*-20. 13, 487 List the prime factors of (-6 + (-275)/(-44))/(1/164). 41 Suppose 3*s + 3*s = 18. Let w be -4 + 2 + 0 + s. List the prime factors of (66/2)/1 + w. 2, 17 Let v = -3 + 3. Suppose -5*c + 8*c = v. Suppose -45 = -3*t - c*t. List the prime factors of t. 3, 5 Let y(t) = -t**2 + t + 8. Let n be y(7). Let r = n - -56. What are the prime factors of r? 2, 11 Let u = 17 + -12. Suppose 27 = 3*h + 4*s - 5, 5*s = -h + 29. Suppose -h - 6 = -u*z. What are the prime factors of z? 2 Suppose 9*o = 4*o + 20. Suppose -o*m - 2*i + 121 = m, -5*i + 61 = 2*m. Let u = m - 2. List the prime factors of u. 3, 7 Suppose -2*g = -3*b + 45, -g + 74 = -4*g - 2*b. Let v be (g/(-10))/(4/10). Let m(f) = 8*f - 5. List the prime factors of m(v). 43 What are the prime factors of ((-4)/6)/((-12)/1170)? 5, 13 Let o = 55 - 15. Let h be o/14 - 1/(-7). Suppose -3*b = -2*n + h, 0 = -4*n + 4*b - 5*b + 13. List the prime factors of n. 3 Suppose 0 = -4*i + 5 + 91. Suppose 2*k + i - 72 = 0. Suppose d - k = -d. What are the prime factors of d? 2, 3 Let m(u) = 1 - u + 3*u - 3*u + u**3. Suppose -5*c = 4*a - 23, 5*a - 22 = -4*c - 0. What are the prime factors of m(c)? 5 Let x(i) be the first derivative of i**2 - 11*i + 5. Let q be x(8). Suppose -4*d = -q*w - 53, -d - 5*w = -0*w - 32. What are the prime factors of d? 17 Suppose 0 = -2*x - 41 + 109. Suppose 0 = 2*p + x - 84. Suppose -3*q = 2*z + 3 + 1, 0 = -5*q + 3*z + p. List the prime factors of q. 2 Let n(l) = l**2 - 3*l + 2. Let s be n(2). Suppose -j + 4*j - 12 = s. Suppose 2*b = 5*z - 155, 3*b + 89 = 3*z - j. List the prime factors of z. 31 Suppose -b - 16419 = -8*b + o, -7047 = -3*b + 3*o. What are the prime factors of b? 5, 7, 67 What are the prime factors of (1749/(-15) - 4)/((-30)/100)? 2, 3, 67 Let g be 6/(-4)*(-70)/21. Suppose 0 = -g*q + 2*q + 15. Suppose -95 = -q*v - f, -2*v + 19 = 4*f - 19. List the prime factors of v. 19 Suppose 12*r - 9*r = -405. List the prime factors of (-4)/(-18) + (-2535)
{ "pile_set_name": "DM Mathematics" }
6 Let y(a) = 17*a - 4. Let g be y(1). Suppose 3*c - g = 5*z, -2*c - z - 6 = -6*c. Let x(r) = -9*r**2 - 2*r + 1. Calculate x(c). -10 Let f(q) = -9*q + 12810*q**3 - 5*q**2 - 6403*q**3 + 8 - 6406*q**3. Calculate f(6). -10 Let o = -2 + 2. Let z(t) be the second derivative of t**4/12 + t**3/6 + 3*t**2 + 13*t. Let j be z(o). Let v(m) = m - 3. Give v(j). 3 Let q(b) = -25 + b**2 - 3*b + 8*b + 5*b. Let o be q(-12). Let h(u) = 1 - u**2 - u**2 - u**3 + 0*u**3. What is h(o)? 0 Let w(q) = q**2 + 5*q - 1. Let m be w(-4). Let o = 4 - 2. Let x(k) = 6 + k**o + k + k**3 + 6*k + 5*k**2 - 1. What is x(m)? -5 Suppose 76 - 28 = 4*o. Let g be -14 + 0 + (-2 - -4). Let a = g + o. Let w(k) = -k**2 + k - 1. What is w(a)? -1 Let f(v) = -3*v - 8. Let t be f(-7). Let w be 2/t - 44/(-52). Let p(l) = -3*l + 5. Let u(b) = -b. Let g(s) = w*p(s) - 4*u(s). Give g(-6). -1 Let h(v) = 4*v**3 - 6*v**2 - 2*v + 2. Let p be h(1). Let o(l) = l**3 + 2*l**2. Calculate o(p). 0 Let m = -3 - -6. Let b(y) = -2*y**2 + y**3 - m*y**2 + 2*y - 6 + 5 - 7*y. Let v be 12/(-2*(-2)/(4 - 2)). What is b(v)? 5 Suppose 8*o - 45*o = 259. Let w(v) = -5*v + 4*v + 2*v. What is w(o)? -7 Let r(s) = -s**2 - s - s**2 - 150 + s**2 + 148. Suppose -5*j + 0 = 10. Determine r(j). -4 Let i(z) = -z + 4. Suppose 4*c = -2*a + 46, 4*a - 12 = -0. Give i(c). -6 Let m be (10/4)/((-151)/(-302)). Let y(f) be the first derivative of -f**3/3 + 2*f**2 - 4*f - 1. Determine y(m). -9 Let q = -35 - -30. Let x(f) = f**3 - 6*f**2 + 7*f + 6. Let j(h) = 2*h**3 - 7*h**2 + 8*h + 6. Let s(d) = -2*j(d) + 3*x(d). Calculate s(q). 6 Let p(o) = -o**2 + 4*o - 1. Let w(u) = 2*u**2 - 5*u - 3*u**2 + 1 - 4 + 7. Let z be w(-5). What is p(z)? -1 Let x(n) = -3*n - 4. Let u be (-3 - (-2)/(-2))/((-1)/(-6)). Let h = u - -27. Give x(h). -13 Let b(v) = 14*v. Let k(q) = -q**3 - 15*q**2 - 3*q - 18. Let s(c) = 3*c**3 + 45*c**2 + 10*c + 55. Let u(f) = -7*k(f) - 2*s(f). Let o be u(-15). Calculate b(o). 14 Let n = 25 + -14. Let f(s) = -1 + n*s**2 + s - 11*s**2 - s**3. Let t(x) = x**2 - 10*x - 22. Let j be t(12). What is f(j)? -7 Let a(n) = -2*n - 2*n**2 - 4*n**3 - 2 + 6*n**2 + 3*n**3 + 4*n. Let r = 8 - 4. Calculate a(r). 6 Let m(u) be the first derivative of u**3/3 - 7*u**2/2 - 10*u + 69. What is m(7)? -10 Let o(q) = q**2 + 2*q. Let j(x) = 2*x**3 - 4*x**2 + x - 3. Suppose 3 = 2*a + 3*y + 7, 3*a = 3*y + 9. Let s(g) = a*o(g) + j(g). Determine s(2). 7 Let a(g) = 1 + 21*g + 15*g + 14*g - 2 - 48*g. What is a(-4)? -9 Let a(d) = 2*d - 41. Let y(k) = 4*k + 10. Let g be y(3). Let l be a(g). Let c(x) = x**3 - 4*x**2 + 4*x. What is c(l)? 3 Let x = 5 - 2. Suppose 0 = -3*l + 3 + x. Let p(b) = -b**2 + 7*b**2 + 7*b - 3*b**2 + 1 - l*b**2. What is p(-5)? -9 Let k(d) = -9*d**3 - d**2 + d. Suppose -5*g - 2*u = -7*u - 95, 0 = -4*u. Let l = g - 16. Let z = l - 2. Give k(z). -9 Let a(n) be the third derivative of -n**8/20160 - n**6/720 + n**5/3 + 3*n**2. Let f(u) be the third derivative of a(u). Give f(2). -5 Let t(y) be the second derivative of -5/2*y**2 - 12*y - 5/3*y**3 + 0 - 1/12*y**4. What is t(-9)? 4 Let o be -23 - -13 - -10*1/2. Let l(j) = -j**3 - 3*j**2 + 4*j. Give l(o). 30 Let n(u) = 0 + u - 1 + 12*u - 6*u - 1. Give n(5). 33 Let g be 2*(-4 + 1 + 4). Let m(h) = 2*h**2 - 8*h**2 - 5*h**g + 8*h**2. Calculate m(2). -12 Let r(s) = -7 + 10*s**2 - 1908*s + s**3 + 16 + 1898*s. What is r(-11)? -2 Let x(y) be the first derivative of -y**4 - y**3/3 + 3*y**2/2 + 3*y - 63. Calculate x(-2). 25 Let g(p) = 44*p**3 + 8*p + 44*p**3 + 35*p**3 + 7*p**2 - 12 - 124*p**3. What is g(8)? -12 Suppose 4*w = 2*w + 4. Let t(i) = -i**2 - 3*i**2 + 6*i - i**w - i**3 - 3. Let y be (2/4)/((-11)/132). Determine t(y). -3 Let p = -37 - -42. Let k(j) = 0*j**3 + 4 + 34*j + j**3 - 40*j - 5*j**2 + 2*j**2. What is k(p)? 24 Let r(x) = 2*x + 1. Let l(g) = g. Let j(c) = -5*l(c) + 2*r(c). Let q = 95 + -97. Determine j(q). 4 Let a(d) = d + 2. Let y(g) = 3 - 4 + 2. Suppose -2*h - 9 = -j, 5 = -11*j + 12*j. Let p(s) = h*y(s) + 2*a(s). Give p(7). 16 Suppose 28*z + 70 = -42. Let v(x) = -x**3 - 3*x**2 + 3*x + 7. Determine v(z). 11 Suppose -m = -2*n + 7, 2*n + n = -2*m. Let l(a) = -64 - 2*a - a**3 - 17*a**2 + 14*a**n + 63. What is l(-1)? -1 Let y = 1169 - 1176. Let o(a) = 3*a**2 + 13*a + 8. Let q(c) = -7*c**2 - 27*c - 17. Let l(i) = 5*o(i) + 2*q(i). Calculate l(y). -22 Suppose -2*h + h = 6. Let p(y) = 73 - 143 - 5*y - y**2 + 66. What is p(h)? -10 Let w(f) = f**3 + 4*f**2 - 13*f - 3. Let q be 3 + ((-6)/(-12) + 1)*-6. Calculate w(q). 3 Suppose 0*m + 3*m + 105 = 0. Let z = -30 - m. Suppose z*t + 10 = 35. Let w(r) = -r**2 + 4*r + 7. Determine w(t). 2 Let k(x) = -x**3 - 3*x**2 + 4. Suppose -2*f = 34 + 36. Let v be (-4)/(-10) - 546/f. Suppose 0 = -5*j + 1 - v. Determine k(j). 4 Let d(f) be the third derivative of 0 - 6*f**2 - 5/24*f**4 - 1/20*f**5 + 0*f + 0*f**3. Let j(w) = 4*w**2 + 5*w + 1. Let i(h) = 5*d(h) + 4*j(h). What is i(6)? 10 Let y(w) be the first derivative of w**4/2 + 7*w**3 + 4*w**2 - 10*w - 294. Give y(-10). 10 Let p(l) be the first derivative of l**3/3 - 2*l**2 - 7*l + 44. Let q = -7 + 12. Determine p(q). -2 Let t(a) be the first derivative of a**3/3 - 11*a - 8. Let s(q) = 3*q**2 - 33. Let n(z) = -6*s(z) + 17*t(z). What is n(0)? 11 Let j(r) = 5*r + 2. Let a(z) = -z**3 + 10*z**2 + 10*z + 9. Suppose 0 = -4*o + 5*k + 49, 2*o - 4*k - 5 = 21. Let c be a(o). Determine j(c). -8 Let y = 237 - 232. Let h(g) = 20*g**2 + 8*g - 1. Let n(u) = 7*u**2 + 3*u. Let s(j) = 6*h(j) - 17*n(j). Determine s(y). 4 Let a(i) be the second derivative of -i**4/8 + 7*i**2/2 + 5*i. Let f(u) be the first derivative of a(u). Determine f(-1). 3 Let z(d) = -d**3 + 7*d**2 + 8*d + 6. Let f be z(8). Let p(o) = -o**3 + 7*o**2 - o - 5. Calculate p(f). 25 Let b(z) be the second derivative of 5/6*z**3 + 1/2*z**2 + 17*z + 0 - 1/12*z**4. Determine b(6). -5 Suppose 4*r + 6 = 14. Let u(p) = 8*p - 1 - p - 22*p + 5*p. Give u(r). -21 Let u(i) = 13*i + 1 - 5*i**2 - 2*i**3 - 9*i + 3*i**3. Calculate u(4). 1 Let g(m) = -m**2 - 4*m. Let y be (-3)/((-6)/(-4)) - (-2 + 0). Let r be (y - 8/2)/((-42)/(-21)). Calculate g(r). 4 Let m(u) = u**3 + 2*u**2 + 5*u + 7. Let p be m(-3). Let r = 18 + p. Let v(z) = -2*z + 5*z**2 - r - 5*z**2 + 3*z**3. Give v(-1). -2 Let f(m) = 2 - 3361*m**2 - 6 - m + 0 - m**3 + 3355*m**2. Calculate f(-6). 2 Let i(k) be the third derivative of 7*k**4/12 - k**3/3 - 2*k**2 - 3. Determine i(3). 40 Let t = -224 - -221. Let s(x) = 4*x + 3. Calculate s(t). -9 Suppose -2*b + 12 = 2*q, 3*q - 2*q - b - 2 = 0. Suppose -3*x + q*d + 25 = 2*d, 2*x - 22 = -4*d. Let w(k) = -k - 12. Determine w(x). -21 Let s(c) = 6*c + 6*c**2 - 6*c**2 + 2*c**2. Let d be (-54)/12 + (-4)/(-8). Determine s(d). 8 Let n(v) = -3*v**2 - 3*v + 8. Let c(k) = -4*k**2 - 4*k + 10. Let y(u) = -2*c(u) + 3*n(u). Give y(0). 4 Let k(j) be the second derivative of 0 - 4*j - 5/6*j**3 - 1/12*j**4 + 0*j**2. Let d(i) = i - 3. Let b be d(-3). Calculate k(b). -6 Let i(w) = -36 + 6 + 5 + 4 + 5 - w. Calculate i(-12). -4 Let k(t) be the second derivative of -t**8/6720 - t**7/420 + 7*t**6/720 - 3*t**5/40 + t**4/2 - t. Let a(p) be the third derivative of k(p). Give a(-7). -9 Let y be (-6)/(-4)*4/3 + -38. Let o be 0*-3*3/y. Let r(p) = -2 - 2*p + 3*p + 4. What is r(o)? 2 Let j(s) = s**3 - 3*s**2 - 4*s + 2. Let w = -103 + 107. Calculate j(w). 2 Let h(b) = 15*b + 2. Let j(d) = 8*d + 1. Let t(w) = 3*h(w) - 5*j(w). Let n be (-1 - 1)/((-2)/4). Suppose -5*u + n + 1 = 0. Determine t(u). 6 Let i(l) = 8*l + 25. Let o(c) = -3*c + 1. Let f(w) = -i(w) - 2*o(w). What is f(-11)? -5 Suppose 2*x - 5*j = 21, -2*x = j - 6 + 3. Let b(v) be the second derivative of 0 + 5*v - 1/6*v**3 + 5/2*v**2. What is b(x)? 2 Let o(w) = -5*w - 11. Let g(z) = -3*z - 5. Let k(p) = 9*g(p) - 4*o(p). Suppose 0 = -3*n + 9 - 6. Give k(n). -8 Let r be 22/7 + -3 + 60/21. Let l(i) = 72*i**2 + 3 + i - 4*i**3 - 79*i**2 + 5*i**r. Determine l(7). 10 Suppose -11*d + 4*d = 0. Let n(w) = w**2 + 2*w + 5. Let h be n(d). Let v(t) = -t**2 + 3*t - t**3 + 5*t**2 + 2 + 2*t. Determine v(h). 2 Let w(n) = 42*n + 30. Let j(p) = -10*p - 1. Let h(i) = 4*j(i) + w(i). Calculate h(-13). 0 Let p(q) be the third derivative of 7*q**4/12 + q**3/3 + 12*q**2. Let c(a) = -27*a - 4. Let v(l) = 6*c(l) + 11*p(l). Determine v(-2). 14 Let f(c) = -c**3 - 2*c**2 - 2*c + 1. Let r be -4*(33/(-12) - -
{ "pile_set_name": "DM Mathematics" }
Let l = -15 - -9. Let k = 15 + l. Suppose 0*t = -3*x - 4*t + 47, -3*x + 2 = -5*t. What is the least common multiple of k and x? 9 Let s(z) = -z - 2. Let g(y) = 2*y + 4. Let b be g(-6). Let u = 9 + -5. Calculate the smallest common multiple of u and s(b). 12 Suppose 0 = -5*q + 4*g + 6804, q - g = -q + 2724. Calculate the smallest common multiple of q/77 - (-4)/14 and 20. 180 Suppose 46 = 3*h + 16. What is the smallest common multiple of 12*(15/12 - (-2)/(-8)) and h? 60 Suppose 7*j - 16 - 61 = 0. Calculate the lowest common multiple of j and 44. 44 Let a = 5 + 18. What is the common denominator of a and 125/6? 6 Suppose b - 3*h = 2*h - 20, 3*b + 10 = 5*h. Suppose b*n - 3*n - 18 = 0. What is the lowest common multiple of 8 and n? 72 Let s = 52/3 + -971/42. Find the common denominator of s and (-1)/2 + 4/(-10). 70 Let g = 17263/6 + -2896. Find the common denominator of -1 + 2/((-84)/(-171)) and g. 42 Let i be (-1)/(-1) - 0 - -2. Suppose 0 = i*k + 14 - 50. What is the lowest common multiple of k and 14? 84 Suppose -6 = -v + 16. Suppose 72 = 5*h + n, 4*n + 46 = 4*h - n. What is the smallest common multiple of h and v? 154 Let c(g) = g**3 + 10*g**2 - 11*g + 4. Calculate the lowest common multiple of 28 and c(-11). 28 Calculate the common denominator of ((-9)/8)/((-40)/(-32)) and -37. 10 Let z = 40 + -18. Let y = 4 - 0. Suppose y*m - 27 = 5. What is the least common multiple of z and m? 88 What is the common denominator of 57/8 - (-6 + 5) and 97/2? 8 Let y(d) = -5*d - 4. Suppose -9 = -7*t + 10*t. Calculate the lowest common multiple of y(t) and 11. 11 Let z = -15029173/7010152 + 427/5881. Let i = 34/13 + -5170/1937. Let l = i + z. Find the common denominator of l and 85/2. 8 Let v(q) = -q**2 - 5*q + 7. Let o be 1/2*36/(-3). What is the least common multiple of v(o) and 3? 3 Suppose -60 = -5*z - h, 3*z - 5*h + 36 = 4*z. Calculate the least common multiple of (6/(-5))/(2/(-5)) and z. 33 Let a(g) = -g**2 - 3*g + 2. Suppose -42 + 12 = 5*y + 3*m, -5*y + 5*m = -10. Calculate the lowest common multiple of a(y) and 2. 2 Suppose -f + 40 = 3*f. Let w(p) = -p**2 + 5*p - 1. Suppose 0*o = 2*o - 8. Calculate the smallest common multiple of f and w(o). 30 Let q = 103061/18 - 5732. Calculate the common denominator of -38 and q. 18 Suppose -7*i - 56 = -3*i. Let u = i + 22. Calculate the smallest common multiple of u and 6. 24 Let h = -44 + 69. Let x = h - 11. Calculate the smallest common multiple of 22 and x. 154 What is the common denominator of ((-89)/3)/((-24)/9) and (-10)/(-44)*(-23)/5? 88 Let g = 6/17 + -64/85. What is the common denominator of -87/4 and g? 20 Suppose -8 - 14 = 2*f. Calculate the common denominator of (-114)/(-15)*5/f and 51/11. 11 Let f(x) = x**3 - 11*x**2 - x + 10. Let v be f(11). Let s(l) = l**2 - l - 1. Calculate the least common multiple of s(v) and (-3)/(8/(-6) + 1). 9 Suppose 0 = t + 1 - 7. Suppose i = 4 + 2. Calculate the least common multiple of i and (-112)/(-6) - t/9. 18 Let u(o) = -8*o - o**2 - o**2 - 8 + o**2. Let x be u(-6). Suppose -19 = -x*r + 17. Calculate the smallest common multiple of 3 and r. 9 Let w = 676 + -2074/3. What is the common denominator of 77/8 and w? 24 What is the common denominator of (-3 + -70)/(-15*(3 + -2)) and 13/48? 240 Let a(s) = -s**2 - 7*s + 1. Suppose w - 17 = 2*q, 4*q + 44 = 3*w + w. What is the lowest common multiple of a(q) and 3? 21 Let v = -83/63 + -46/7. What is the common denominator of v and (1925/(-30))/(-5) - 3? 18 Suppose -y - 30 = -5*h, -3*y + 10 = 3*h - 2*y. Calculate the least common multiple of h and 10. 10 Suppose 4 = 4*k, -255 = 5*v + k - 36. Calculate the common denominator of -27/22 and v/(-10)*200/(-224). 154 What is the common denominator of (-74)/(-24) + (-3)/12 and 101/4? 12 Suppose 0 = -4*j - 2*y + 557 + 195, 4*y = 5*j - 940. Calculate the smallest common multiple of j and 14. 1316 Let y be (1/(-2))/((-1)/2). What is the lowest common multiple of (1 + 1)*4 - y and 1? 7 Let f be 3/(-4) + (-42)/8. Let a be (2/f)/((-3)/18). Suppose 0 = -4*m + a*m + 20. Calculate the least common multiple of m and 2. 10 Calculate the common denominator of (25/(-2))/5 + 1/4 and -83/16. 16 Let q(w) = -w**2 + 4*w - 3. Let c be q(4). Let m = c + 0. What is the lowest common multiple of 4 and ((-14)/(-3))/(m/(-9))? 28 Let f(p) = -p + 5. What is the least common multiple of 8 and f(-2)? 56 Let h = -6 - -7. Let u = -3 + h. Calculate the common denominator of (-19)/(-14)*(u - -1) and -67/10. 70 Find the common denominator of 368/(-12)*(-5)/16 and -31/18. 36 Let j = 5709/4 + -1438. What is the common denominator of j and (-70)/(-18)*20/14? 36 Let z be 1 + -2*(-2)/4. Suppose -4*o + 40 - 2 = s, -z*o + 26 = -3*s. What is the lowest common multiple of o and 4? 20 Find the common denominator of -25/4 and (-130)/16 - 0/(-2). 8 What is the common denominator of 14/56 - (-83)/(-36) and -53/10? 90 Suppose -2*z + 28 = 2*z. Suppose -29 = 5*c + 1. Calculate the lowest common multiple of z and ((-84)/c)/(4/2). 7 Let m = 9910 - 559. Let p = -93429/10 + m. What is the common denominator of p and 53/6? 30 Suppose -2*j = 2*j. Suppose -4*u + 16 + 8 = j. What is the lowest common multiple of u and 10? 30 Let v = 1 - -1. Calculate the smallest common multiple of v and 3 - 24/(4/(-1)). 18 Let m(z) = -z**3 + 6*z**2 + 7*z + 6. Suppose -p + 14 = p. Let j(y) = y**2 - 2*y. What is the lowest common multiple of m(p) and j(-2)? 24 Let v(j) = j**3 - 21*j**2 + 23*j + 22. Let t be v(19). Let q be 5266/20 - 0/(-1). Let h = t + q. Calculate the common denominator of h and -55/9. 90 Let b = -30 + 32. Suppose -q - 103 = -4*k, -k - 3*q + 28 = -q. Calculate the least common multiple of b and k. 26 Let o = 3651 - 182663/50. What is the common denominator of o and -47/18? 450 Let o(l) = 2*l**2 + 4*l - 6. Let j be o(4). Suppose -4*a = 3*x - j, -3*a = -2*x - x + 63. What is the lowest common multiple of x and 18? 18 Let u = 697/28 - 177/14. Find the common denominator of 71/16 and u. 16 Let t(h) = 8*h**2 - h - 6. Let k(l) = 15*l**2 - 2*l - 11. Let d(v) = 6*k(v) - 11*t(v). Calculate the lowest common multiple of d(-1) and 7. 21 Suppose -4*a + 7 = -9. Suppose -152 + 42 = -5*p + 3*m, 0 = 5*p - 4*m - 110. Calculate the lowest common multiple of p and a. 44 Let w(o) = -13*o - 1. Let y be w(-2). Suppose -10 = -5*s + y. What is the least common multiple of s and 1? 7 What is the least common multiple of ((-24)/14)/(26/(-455)) and 6? 30 Calculate the smallest common multiple of 10 and (-20)/10*(-5)/2. 10 Let y = 5 + -2. Suppose 21 = -y*v + 6*v. Suppose 3*g - v - 2 = 0. Calculate the lowest common multiple of 11 and g. 33 Suppose 0 = -2*y + 3*y - 5*n, -9 = 3*n. Let l be (475 - 1)*y/10. Let j = l + 2761/4. Find the common denominator of j and -57/10. 20 Find the common denominator of -25/2 and 727/(-30) + (-4)/(-10). 6 Let y = -46 - -81. Let m = y + -17. Calculate the smallest common multiple of m and 4. 36 What is the common denominator of 37/4 and 516/270*15/12? 36 Suppose 2*v - 4*n + 17 = -v, -5 = -v - 4*n. Let j(p) = p**3 + 3*p**2 - 4*p - 3. Suppose -30 = -0*g - 5*g. What is the least common multiple of g and j(v)? 18 Let a = 4659/460 + 14/115. Let j = -30819/6290 - 1/3145. Calculate the common denominator of a and j. 20 Let r = -2259 - -7101. Let p = r + -106493/22. Find the common denominator of 0 - (39/(-36) + 4) and p. 132 Let x(v) = -10*v**3 + v**2 + 2*v + 1. Calculate the least common multiple of 4 and x(-1). 20 Suppose -3*c - 3*k + 21 = -24, k - 63 = -5*c. What is the least common multiple of c and 8? 24 Find the common denominator of ((-31)/93)/(1/28) and 52/15. 15 Suppose -3 = 4*b - 2*v - 5, -2*b = 4*v + 14. What is the smallest common multiple of (-40)/5*b/1 and (-40)/(-4) + -1 + -1? 8 Suppose -z - 8*z = -18. What is the least common multiple of 2 and z? 2 Let m(h) = 2*h**2 + 2*h - 4. Calculate the lowest common multiple of 1 and m(2). 8 Let a be 5*(-2 + 72/20). Let n(o) = 9*o**2 + o - 1. What is the common denominator of (-2)/a*2222/(-33) and n(2)? 6 Suppose -3*y + 4*y + 5 = 0. Let k = 2 - 1. Let r = k - y. Calculate the least common multiple of 11 and r. 66 Let l = -13489 + 364144/27. What is the common denominator of 64/15 and l? 135 Find the common denominator of 11/98 and (-606)/(-28)*(-35)/(-30). 196 Suppose 3*l + 13 = -14. What is
{ "pile_set_name": "DM Mathematics" }
and 16304? 2038 What is the highest common factor of 77420 and 9559? 79 What is the greatest common factor of 23513 and 224? 7 What is the greatest common factor of 5598 and 36076? 622 Calculate the highest common factor of 15023 and 1577. 83 Calculate the greatest common factor of 103 and 641484. 103 What is the highest common divisor of 7670478 and 318? 318 What is the highest common factor of 8352 and 30160? 464 Calculate the highest common divisor of 115797 and 174. 87 Calculate the greatest common divisor of 1952 and 1296. 16 Calculate the greatest common factor of 2063578 and 2134. 2134 What is the highest common factor of 1445485 and 235? 235 What is the highest common divisor of 426 and 3102771? 213 What is the greatest common divisor of 20995 and 133? 19 What is the highest common factor of 1025 and 5150? 25 Calculate the greatest common divisor of 107270 and 340. 170 Calculate the highest common divisor of 186075 and 225. 225 What is the highest common divisor of 578650 and 20? 10 What is the greatest common divisor of 36158 and 28282? 358 Calculate the highest common factor of 3064 and 2200. 8 What is the greatest common divisor of 7383 and 144450? 321 Calculate the highest common divisor of 738 and 19524. 6 What is the highest common factor of 441471 and 18941? 1457 Calculate the highest common divisor of 15 and 12391305. 15 Calculate the greatest common factor of 250 and 22130. 10 What is the greatest common divisor of 5676228 and 348? 348 Calculate the highest common divisor of 7467 and 9563. 131 Calculate the greatest common factor of 695620 and 190. 10 What is the greatest common divisor of 147118 and 34? 34 Calculate the highest common divisor of 236 and 620. 4 Calculate the highest common factor of 345 and 1171551. 69 Calculate the greatest common factor of 2494 and 2552. 58 Calculate the highest common factor of 108756 and 2703. 159 What is the highest common factor of 21609 and 84? 21 What is the highest common factor of 4548 and 1829433? 1137 Calculate the greatest common divisor of 57 and 15370620. 57 What is the greatest common factor of 46 and 135263? 23 Calculate the highest common divisor of 103507 and 6408. 89 Calculate the greatest common divisor of 13051 and 155. 31 Calculate the greatest common factor of 730 and 11190. 10 What is the greatest common divisor of 226 and 328? 2 What is the greatest common divisor of 1812 and 87429? 453 What is the greatest common divisor of 3857539 and 511? 511 What is the greatest common factor of 16252 and 148658? 478 What is the greatest common divisor of 1763442 and 313? 313 Calculate the greatest common divisor of 21945000 and 24. 24 Calculate the highest common factor of 853175 and 25. 25 Calculate the highest common factor of 11 and 38179. 1 What is the greatest common divisor of 1094835 and 21? 21 What is the greatest common factor of 46436 and 17766? 94 What is the highest common divisor of 45149 and 897? 299 What is the highest common divisor of 99 and 4728603? 33 What is the greatest common divisor of 28 and 41692? 28 Calculate the greatest common divisor of 146 and 23. 1 Calculate the greatest common divisor of 36 and 13316. 4 What is the highest common divisor of 1090 and 291030? 1090 Calculate the greatest common divisor of 9515 and 121. 11 Calculate the greatest common divisor of 33957 and 1727. 11 What is the highest common factor of 436 and 1096? 4 What is the highest common divisor of 245560 and 1960? 280 What is the greatest common factor of 11319 and 32879? 539 Calculate the highest common factor of 926109 and 51. 51 Calculate the greatest common factor of 50485 and 92. 23 Calculate the greatest common divisor of 99091 and 503. 503 Calculate the greatest common factor of 31610 and 110. 10 What is the greatest common factor of 43687 and 119? 7 What is the greatest common factor of 5306 and 294104? 758 Calculate the greatest common factor of 82985 and 2170. 35 Calculate the greatest common factor of 150331 and 2516. 629 What is the highest common factor of 159300 and 2478? 354 Calculate the highest common factor of 38 and 129694. 38 Calculate the greatest common divisor of 3850 and 1404550. 350 Calculate the highest common divisor of 338492 and 88. 44 What is the greatest common factor of 8477 and 2653? 7 Calculate the highest common factor of 51939 and 6567. 597 Calculate the greatest common divisor of 4508 and 28. 28 What is the greatest common divisor of 10783 and 5781? 41 What is the greatest common factor of 169626 and 306? 102 What is the highest common factor of 801654 and 42? 42 Calculate the greatest common divisor of 2835 and 1855. 35 What is the greatest common factor of 580 and 52345? 145 Calculate the highest common factor of 240 and 6294000. 240 Calculate the highest common factor of 1192 and 2831. 149 Calculate the greatest common factor of 64 and 631520. 32 What is the highest common divisor of 4 and 6124? 4 Calculate the greatest common factor of 410 and 3250. 10 What is the highest common divisor of 46637 and 939? 313 Calculate the highest common factor of 14496528 and 24. 24 Calculate the highest common divisor of 70 and 12470. 10 Calculate the greatest common divisor of 5804 and 12. 4 What is the highest common divisor of 1096 and 138644? 548 What is the highest common divisor of 300 and 23364? 12 What is the highest common divisor of 5842440 and 72? 72 What is the highest common factor of 13867 and 98? 49 Calculate the greatest common divisor of 3 and 321. 3 Calculate the highest common factor of 7 and 1012144. 7 Calculate the highest common divisor of 776065 and 4035. 1345 What is the greatest common divisor of 696 and 64264? 232 What is the greatest common divisor of 248 and 6758? 62 What is the highest common factor of 580993 and 1336? 167 What is the greatest common factor of 11999 and 663637? 923 Calculate the greatest common factor of 183742 and 3367. 481 Calculate the highest common factor of 1015 and 1435. 35 What is the greatest common factor of 369803 and 98? 49 What is the highest common divisor of 1281 and 64904? 427 Calculate the highest common divisor of 5957 and 75509. 161 Calculate the greatest common factor of 261 and 42949. 29 Calculate the highest common factor of 140 and 1473808. 28 Calculate the highest common divisor of 105595 and 270. 5 Calculate the greatest common factor of 26195 and 2635. 155 What is the greatest common divisor of 171 and 63726? 57 What is the highest common factor of 17680 and 3952? 208 What is the highest common factor of 28888 and 368? 184 What is the greatest common factor of 40 and 36848? 8 Calculate the greatest common divisor of 4730332 and 1306. 1306 Calculate the highest common factor of 48915 and 180. 45 What is the greatest common divisor of 97869 and 31008? 969 Calculate the highest common divisor of 56770 and 70. 70 What is the greatest common divisor of 1045433 and 292? 73 What is the highest common factor of 14 and 22228? 2 What is the greatest common factor of 73182 and 18? 6 What is the highest common factor of 181304 and 786? 262 Calculate the highest common factor of 58125 and 1395. 465 Calculate the greatest common factor of 421214 and 94. 94 What is the highest common divisor of 5428 and 1652? 236 What is the greatest common divisor of 192 and 92256? 96 Calculate the highest common divisor of 2548 and 30919. 49 What is the highest common divisor of 7092 and 56? 4 What is the highest common divisor of 920 and 115690? 230 What is the highest common divisor of 3555 and 2528? 79 Calculate the greatest common factor of 328 and 9225. 41 Calculate the greatest common factor of 384 and 823872. 192 What is the greatest common factor of 2183 and 333592? 37 What is the highest common divisor of 141 and 9071? 47 What is the highest common divisor of 126 and 162540? 126 What is the highest common divisor of 10338 and 432? 6 Calculate the highest common divisor of 5076342 and 9. 9 Calculate the greatest common factor of 546 and 7133. 7 What is the highest common factor of 3828852 and 24? 12 What is the greatest common factor of 16 and 236636? 4 What is the greatest common factor of 44 and 101440? 4 Calculate the greatest common factor of 3948 and 24017. 329 What is the greatest common divis
{ "pile_set_name": "DM Mathematics" }
alse Is 1120907009 a composite number? True Is 10103021587 prime? True Is 14137414517 composite? False Is 23835755923 prime? False Is 2043159379 prime? False Is 57307086269 prime? False Is 714792300065 a prime number? False Is 9799059526 prime? False Is 1536589597 composite? True Is 4890742267 composite? False Is 1349382217 a composite number? True Is 35340640187 a composite number? False Is 4383193229 prime? True Is 1251142943 a prime number? True Is 107834556163 a prime number? False Is 162079 composite? False Is 21145479041 a composite number? True Is 36173774411 composite? True Is 970605961 prime? False Is 12267653231 prime? True Is 159815729 composite? True Is 14345783297 a prime number? False Is 118253279 composite? True Is 18431210279 a prime number? True Is 15853827239 prime? False Is 2261471831 a prime number? True Is 15503768053 prime? True Is 1451039963 a composite number? False Is 1225486177 a prime number? False Is 32156169547 a composite number? True Is 849325943 prime? True Is 31779071 a composite number? False Is 69429161 a composite number? True Is 12995447359 composite? True Is 6562426889 prime? True Is 2286824537 prime? True Is 106406659 a composite number? False Is 184329721 a prime number? True Is 17874443 prime? False Is 28669587637 composite? False Is 50071082003 composite? True Is 11177360211 a prime number? False Is 148193872513 a prime number? True Is 17985727846 prime? False Is 331391614 a composite number? True Is 12869708899 prime? False Is 144322313 prime? True Is 18443269883 composite? False Is 31062006649 prime? True Is 3760447129 a composite number? True Is 2024922619 prime? False Is 464470531787 prime? True Is 15752730531 a prime number? False Is 28677307121 a composite number? False Is 10989477971 a prime number? True Is 224393177 a prime number? False Is 373477103 a composite number? False Is 665174831 a prime number? True Is 8653156843 a composite number? True Is 10647993151 a composite number? False Is 574197971 a composite number? True Is 31710807593 prime? True Is 86601582823 a prime number? False Is 1239572471 a composite number? False Is 116350763 a prime number? True Is 19629791 a composite number? True Is 899759431 composite? True Is 599575511 composite? True Is 4172566519 composite? True Is 12463208071 a prime number? False Is 2656322789 composite? False Is 691968967 a prime number? True Is 1368314491 prime? True Is 3475373827 a prime number? True Is 5166420863 prime? True Is 5895016459 a prime number? True Is 6368413999 a prime number? True Is 973239539 composite? True Is 88910290439 a prime number? False Is 9013913 a composite number? True Is 488200831 composite? False Is 1892153787 a composite number? True Is 606217697 a prime number? True Is 1245323749 a prime number? False Is 1894029701 composite? True Is 5598537919 a prime number? False Is 15624487 a prime number? True Is 31608010419 a composite number? True Is 7530340249 a prime number? True Is 37436541601 a composite number? True Is 977238413 prime? False Is 28155035417 a prime number? False Is 922016317 a composite number? True Is 8778102493 composite? True Is 338598497 prime? False Is 413649283 composite? True Is 75132476027 a prime number? False Is 49951117829 a composite number? True Is 25259119 a composite number? False Is 3970394567 a composite number? True Is 19025705735 composite? True Is 275857481881 prime? True Is 9357648221 composite? False Is 17404437397 prime? True Is 858999533 prime? False Is 196529189977 composite? False Is 6397242961 a prime number? False Is 197534111 a prime number? True Is 27440256071 prime? False Is 826212419 composite? False Is 569799145 composite? True Is 16815666293 prime? False Is 6110081347 prime? True Is 168036687095 a prime number? False Is 21930929453 prime? False Is 762216373 a prime number? False Is 42000329519 a prime number? True Is 140048151703 a prime number? False Is 314486083 composite? False Is 76372391219 a prime number? False Is 664455713 prime? False Is 68124004541 a prime number? True Is 178639831 prime? True Is 522362207 a prime number? True Is 4042659667 composite? True Is 75361937 composite? True Is 12977119 a prime number? True Is 226525129 prime? True Is 883203001 prime? True Is 3006736685 a prime number? False Is 2658926923 a composite number? False Is 269222869 composite? False Is 205704937 prime? True Is 23042090777 a composite number? False Is 695050607 a composite number? False Is 51689637785 composite? True Is 14186809639 a prime number? False Is 102240679 composite? True Is 188642373 composite? True Is 856164449 composite? True Is 39865489327 a composite number? True Is 1146594487 a prime number? True Is 1423581661 a composite number? False Is 19529319049 composite? False Is 14280813641 composite? False Is 25548591479 composite? False Is 709165619 a composite number? True Is 197045809 a prime number? True Is 9025043767 prime? True Is 142678061 composite? True Is 6769093553 a prime number? True Is 2000619139 composite? False Is 14451892981 composite? True Is 7602438373 composite? False Is 3742132279 prime? False Is 41684286299 composite? True Is 8975118433 a prime number? True Is 144086531 a prime number? True Is 33857638123 composite? False Is 6884938883 composite? False Is 20950235897 a composite number? True Is 1086569626 a composite number? True Is 6491740613 a composite number? True Is 14141795461 prime? False Is 6024568409 a prime number? False Is 144782503 a prime number? False Is 11858709727 a prime number? True Is 3710306881 a composite number? True Is 61172235321 a prime number? False Is 122034611 a prime number? False Is 192967919 a composite number? True Is 48370450547 a composite number? True Is 5879911649 a prime number? True Is 11165918839 composite? False Is 469084771 a prime number? True Is 1540156231 prime? False Is 7590169109 prime? False Is 531222257 prime? True Is 222911187 a composite number? True Is 260671920823 a composite number? False Is 169095937 composite? False Is 7507049735 composite? True Is 3192964651 composite? True Is 119190311437 prime? False Is 78449035151 a prime number? False Is 12095942219 composite? False Is 1392489361 a prime number? False Is 27808196447 prime? True Is 5158141727 composite? True Is 36679403 composite? True Is 24752009 a prime number? True Is 68994396017 a composite number? False Is 270201949 a prime number? False Is 1881151859 prime? True Is 2118361949 prime? False Is 29350663 a composite number? False Is 1300656849 a composite number? True Is 139650038519 a composite number? False Is 95690023163 prime? False Is 1177371583 composite? False Is 998738369 a prime number? True Is 30011932807 composite? False Is 126451771 composite? True Is 130132669 prime? True Is 384887215 a composite number? True Is 89485440787 prime? True Is 25248393607 prime? True Is 960954857 a prime number? False Is 12511147427 composite? False Is 13410999929 a composite number? True Is 111400171 a prime number? True Is 122047511 a prime number? False Is 276082379 composite? True Is 57983537 a composite number? True Is 302965048317 composite? True Is 1321825699 a prime number? True Is 26593349987 composite? False Is 22076982071 prime? True Is 1423886489 a prime number? True Is 3387905669 prime? False Is 53340584579 composite? True Is 87665665237 a prime number? False Is 1392243 a prime number? False Is 824393837 a prime number? True Is 27536741159 a composite number? False Is 129371653 a composite number? True Is 1663921731 prime? False Is 3137560667 a composite number? False Is 4196155571 a prime number? True Is 1660212353 a composite number? True Is 96663851 a prime number? False Is 876363269 a prime number? False Is 10438019927 composite? True Is 13264939157 a prime number? False Is 13074360773 prime? True Is 18107481233 a prime number? True Is 3567013031 composite? True Is 2469566861 a composite number? False Is 175180253 a composite number? False Is 971611567 a prime number? False Is 2258832523 composite? True Is 26311401547 a composite number? False Is 28184054369 composite? True Is 5416172123 composite? False Is 49799369 a composite number? False Is 40188595147 a composite number? False Is 13650639979 prime? False Is 743174723 a composit
{ "pile_set_name": "DM Mathematics" }
)*v)*v*v/(v**(1/2)/v) assuming v is positive. v**(449/182) Simplify i**(-20)/(i/(i**(-15)/i))*i**5*i*i/(i/i**(2/51))*i assuming i is positive. i**(-1528/51) Simplify ((b/(b/b**(-1/3)))/b*(b*b**(2/7))/b)/(b**(1/2)/b)**(-7) assuming b is positive. b**(-191/42) Simplify (a*a**(2/15)*a*((a**11/a)/a)/a)/((a/(a**(-12)*a))/(a/((a/((a/(a*a**(-3)*a*a))/a))/a))) assuming a is positive. a**(-13/15) Simplify (r**(-27)/r**(7/2))**(-2/35) assuming r is positive. r**(61/35) Simplify ((g/(g/(g*g*(g*g**6*g)/g)*g))/g**(1/25))/((g*g**(1/16))/g*g/(g*g**(-10/9))*g) assuming g is positive. g**(20831/3600) Simplify (z/(z/((z**1/z)/z)))/z*z**(-7/4)*z**(-1/6)/(z/(z**(-5/4)*z)) assuming z is positive. z**(-31/6) Simplify (f**(-1/3))**(1/4)*f**11/(f/(f/(f/(f/(f*f**13))*f))) assuming f is positive. f**(-49/12) Simplify (f**8)**(-21)*f/(f/((f*f*f**(-1)*f)/f))*f*f/((f/f**(8/5))/f) assuming f is positive. f**(-817/5) Simplify ((z*z/z**(2/27))/(z**(-2/33)/z))**(1/7) assuming z is positive. z**(887/2079) Simplify ((r**(2/9))**(-2/5)/(r**(-4)/(r*(r/(r*r**(-2/9))*r)/r)))**(-28) assuming r is positive. r**(-2156/15) Simplify b*b**(15/2)*b/((b/b**9)/b)*(b*b**4*b)**(-13) assuming b is positive. b**(-119/2) Simplify n*(n**0*n)/n*n**(5/4)*((n**(-1)*n)/n)**(-10) assuming n is positive. n**(49/4) Simplify (d*d/d**(-2))**(-18/5)*(d*d**(-2/33)*d)/(d*d/d**5) assuming d is positive. d**(-1561/165) Simplify ((y/(y/y**(10/11))*y*y)/y**(2/61))**(2/101) assuming y is positive. y**(3860/67771) Simplify k**(4/7)/k*k*k/(k**(1/33)*k)*(k**(-14))**30 assuming k is positive. k**(-96895/231) Simplify ((h**(-1))**(3/11)/(h**9*h/h**(1/4)))**6 assuming h is positive. h**(-1323/22) Simplify (k/((k**19*k)/k)*(k**(2/23)*k)/k)**(-6) assuming k is positive. k**(2472/23) Simplify (o/(o**(7/4)/o))**18*(o/o**23)/((o/o**(-6/11))/o) assuming o is positive. o**(-397/22) Simplify ((x/x**2)**33/((x*x*x/(x/(x/(x**9/x))))/x**1))**(-43) assuming x is positive. x**1161 Simplify (g**0/g*g**(1/2)*g**(-1/11)*g/g**(-9)*g)**(13/4) assuming g is positive. g**(2977/88) Simplify (k*(k*k/(k**7/k*k)*k)/k)**(2/5)/(k**(7/3)/(k/(k/(k*k**(-18)*k)))) assuming k is positive. k**(-299/15) Simplify ((t*t**(-6)*t*t*t)**(-1/17))**(10/9) assuming t is positive. t**(20/153) Simplify ((n*n**(2/25))**(-25))**(-18) assuming n is positive. n**486 Simplify (x**(-2/17)/x)**(-7/4)*(x/(x/x**(-2/19)*x)*x)**(2/21) assuming x is positive. x**(52795/27132) Simplify (p**(-7)*p**(-2)*p*(p**(-1))**(4/7))**(-34) assuming p is positive. p**(2040/7) Simplify (l**(2/13)*l)/(l/l**(12/11))*l**(-11)*l**(-10) assuming l is positive. l**(-2825/143) Simplify (g**(-3/2))**(-4/15)*(g**(-10)/g*g)/(g/((g/(g/g**(-7)))/g)) assuming g is positive. g**(-93/5) Simplify ((q/q**(-14))/q*q*q)**21/((q**8*q)/q**18) assuming q is positive. q**345 Simplify (w**5)**(-1/3)*(w**(-2/5))**25 assuming w is positive. w**(-35/3) Simplify (n**8/n*n**(-10/3)/n)/((n/(n**(-1)/n))/n)**(-7/11) assuming n is positive. n**(130/33) Simplify (a**0)**(-19)*((a*a**(-3))/a*a)/(a*a*a**(-15)/a) assuming a is positive. a**12 Simplify (k**(1/2)*k)**(-6/19)*k**(1/4)*k**(7/5) assuming k is positive. k**(447/380) Simplify (((c*c**(-2)*c*c)/(c/(c**(5/2)*c)))/(c*c**(1/3)*c)**(-4/7))**39 assuming c is positive. c**(377/2) Simplify (q**(-8)/q**(4/7)*q**(-1/13)/q*q**10)**(2/3) assuming q is positive. q**(64/273) Simplify (x**(-3/7)/((x**(1/3)*x)/x))/(x**(2/7))**20 assuming x is positive. x**(-136/21) Simplify ((d**(-2)/d**(-3/10))**(9/2))**(-5/16) assuming d is positive. d**(153/64) Simplify (t**(-2))**(-2/55)/(t/t**(-1/15)*t**(-5/6)) assuming t is positive. t**(-53/330) Simplify (u*u*u**15)/(u*u**(-4/21))*(u/((u/(u*u**(-17)))/u))/u**(-19) assuming u is positive. u**(424/21) Simplify a**(-1/20)/a**37*a*a**(-34)*a**(-19)/a*a assuming a is positive. a**(-1781/20) Simplify (m**25*m*m**(5/3))**19 assuming m is positive. m**(1577/3) Simplify (((x/(x/x**(-22))*x*x)/x)/(x*x*x**(-30)))/((x/(x**(-4/13)/x))/(x/((x**10*x)/x)*x)) assuming x is positive. x**(-43/13) Simplify ((o/(o**(5/6)*o*o))/o**(10/13))/((o/(o/o**1))/o*o**(-10/9)) assuming o is positive. o**(-349/234) Simplify (g**(-2))**45*g**(-6/5)/(g*g*g**2) assuming g is positive. g**(-476/5) Simplify (g**(-4/9)*g*g*g/(g**31/g))**(-43) assuming g is positive. g**(10621/9) Simplify ((l*(l/l**(1/19))/l*l)/(l*l**25*l*l*l))/(l**(2/9)/(l/(l*((l*l**12)/l)/l))) assuming l is positive. l**(-6545/171) Simplify (k**(-24)*k*(k**25*k*k)/k)**(7/4) assuming k is positive. k**(21/4) Simplify (r*r**(-4/9))/r*(r/(r*r**(1/5)))/r*r*r/(r**(-4)/r)*r*r**(2/11)*r*r assuming r is positive. r**(4226/495) Simplify (u/(u/(u*u*u*u/(((u*u**4)/u)/u)))*u/u**(-32))**(1/41) assuming u is positive. u**(34/41) Simplify (((h*h/h**(-1/8))/(h/((h/(h*h**(-3/5)))/h)))**(-22))**(-30) assuming h is positive. h**(957/2) Simplify (((g*g*(g*(g*g**3/g)/g)/g*g)**(-6/11))**33)**(1/63) assuming g is positive. g**(-10/7) Simplify (b**(6/11)/b)**(-2/19)*b**(-12)/(b/(b**2*b)) assuming b is positive. b**(-2080/209) Simplify ((n**15*n**15)**(1/44))**16 assuming n is positive. n**(120/11) Simplify (w**(-3/8)/(w**(-9)*w)*w**(1/8)*w**(-2/9))**(3/2) assuming w is positive. w**(271/24) Simplify w**(3/4)/(w*w*w**(-11))*(w/(((w*((w*w**(-10))/w)/w*w)/w*w)/w))/w**16 assuming w is positive. w**(19/4) Simplify j**9*j*j/(j*j*j/j**(-5)*j)*j*j**(6/7)*j/(j/(j*j**(-11/2))) assuming j is positive. j**(-9/14) Simplify (a/((a*a*(a/(a*a/(a*a**3/a))*a)/a*a)/a))**(38/3)/(a**1)**37 assuming a is positive. a**(-75) Simplify (q**(-18)/q*q**(-19))/((q/q**(-1/11))/q**(-2/5)) assuming q is positive. q**(-2172/55) Simplify ((a**(-2)*a*a**(-3/7))**(-16))**(-43) assuming a is positive. a**(-6880/7) Simplify (n/((n**(-25)*n*n)/n))/n*n*n*n**(16/3)*n/n**(2/7)*n*n**30 assuming n is positive. n**(1324/21) Simplify ((((n*n*n/n**1*n)/n)/n*n)/n)/n**16*n**(-11/4)/((n**23/n)/n*n) assuming n is positive. n**(-159/4) Simplify (q**(5/6))**(-6/23)/((q*q**19*q)/(q/q**(-1/9))) assuming q is positive. q**(-4162/207) Simplify (w/w**7*w*w)/w**(1/5)*(w*w**3)**(-1/55) assuming w is positive. w**(-47/11) Simplify ((q**(-1/3)*q)/q*q)**1/(q*q**(1/5))**(5/6) assuming q is positive. q**(-1/3) Simplify (t*(t**(-5)/t)/t*t)/(t*t**(2/7))*(t/t**(11/4))/(t*t**(1/8)) assuming t is positive. t**(-513/56) Simplify (((((t**22*t)/t)/t)/t)**(-34))**(-3/14) assuming t is positive. t**(1020/7) Simplify (o/o**(3/7))**(-2/47)*o**(-10)*o*(o**(-10/7)/o)/o*o assuming o is positive. o**(-3768/329) Simplify (((y*y**(-2/29))/y**(-2/3))/(y/((y*y/((y/y**(-2))/y*y))/y)*y)**0)**(2/75) assuming y is positive. y**(278/6525) Simplify ((y**(-13)*y)/y*y/y**0)/((y/((y**(-8)*y)/y))/(y/((y**2*y)/y))) assuming y is positive. y**(-22) Simplify ((l**(1/55))**6)**(-8/17) assuming l is positive. l**(-48/935) Simplify (t**(-23)/t**(-1/9))/((t*t/t**18)/(t*t*t/t**6*t*t*t*t)) assuming t is positive. t**(-53/9) Simplify g/(g*g*g*g**17)*g*g/(g/g**16*g)*g/g**25*g*g**(5/2) assuming g is positive. g**(-47/2) Simplify (k/(k/((k/(k**17*k))/k)))/k**(-1/3)*k**(-19)/k**16 assuming k is positive. k**(-158/3) Simplify q**15*q**(2/27)*(q**(-2/5))**(-12/11) assuming q is positive. q**(23033/1485) Simplify ((g**(-4))**16)**(-13) assuming g is positive. g**832 Simplify ((h/((((h*h*h*h**22)/h)/h)/h)*h*h*h)/(h*h/h**(-2/7)))/(h**(1/6))**(-2/85) assuming h is positive. h**(-36203/1785) Simplify (c**(-1/17)/c**(-1/10))/(c*c**(-7))**(-2/5) assuming c is positive. c**(-401/170) Simplify p**8*p**(8/7)*p/p**(-7)*p**11 assuming p is positive. p**(197/7) Simplify (l**(-2/3)/((l/l**(-2/17))/l)*l**6*l*l**6)**(-1/4) assuming l is positive. l**(-623/204) Simplify t**(-33)/(((t**(-21/2)/t)/t)/t)*(t**(1/4)*t)/(t/t**(4/5)) assuming t is positive. t**(-369/20) Simplify (r**(3/2)/(r*r*r/(r**(5/6)/r)*r*r)*(r/(r*r**12))/r**(1/8))**(-3/11) assuming r is positive. r**(379/88) Simplify (o**(-11)/o**(-4/13)*o**(-2/9)/o**3)**(-1/22) assuming o is positive. o**(74/117) Simplify ((m**(-2/87)/m)/m*m**(-2/45))/((((m*m/((m*m**(-2)/m)/m))/m)/m)/m*m)**(-15/7) assuming m is positive. m**(39839/9135) Simplify (j**(-23)/j)/j*j**(-3/7)/j*j**24/(j/(j*(j/(j*j/j**9)*j)/j*j)) assuming j is positive. j**(46/7) Simplify (((s**0/s)**8)**(-45))**(-31) assuming s is positive. s**(-11160) Simplify (((f*f**(1/5))/f)/f)**(-10/9)/(f**(-2/39)*f*f/(f/(f/((f/(f*f/((f**(-1/6)/f)/f)))/f
{ "pile_set_name": "DM Mathematics" }