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e common denominator of p and ((-2)/(-16))/((-6)/1096). 66 Let j(x) = x + 1. Let r be ((-21)/(-14))/((-3)/(-6)). Let d be j(r). Let h = 4 + d. Calculate the lowest common multiple of 1 and h. 8 Let v = 997471/176 + -11335/2. Let i = 2579/528 + v. Find the common denominator of 59/4 and i. 12 Let x = 61987720337/153 + -405146115. Let g = 2384 - x. Find the common denominator of g and -63/4. 612 Let w(f) = -f**2 + 46*f - 231. Let c = -16 - -30. Calculate the least common multiple of w(39) and c. 42 Let n be (-317)/7 + (-2)/(-7). What is the lowest common multiple of 20 and (-16)/120 + (-276)/n? 60 Let n(i) = -27*i - 3. Let r(z) = -55*z - 6. Let w(g) = 13*n(g) - 6*r(g). Suppose -5*x - 36 + 106 = 0. What is the lowest common multiple of w(-1) and x? 126 Let j = 394 - 356. Let c(f) = -f**3 + 5*f**2 - 2. Calculate the least common multiple of c(4) and j. 266 Suppose -21 - 42 = m. Let i = 73 + m. What is the least common multiple of 29 and i? 290 What is the common denominator of 11/21 and (-1004)/(-12)*6/(-102) - -4? 357 Suppose 0 = 3*l - 2*h - 54, -3*l + 3*h + 51 = -0*h. Suppose 6*c - 2*c = l. Suppose -c*m + 110 = -0*m. Calculate the smallest common multiple of 14 and m. 154 What is the common denominator of (-20)/(-350)*((-168)/(-9) - 2) and (-146)/(-60) - 1 - 0? 210 What is the smallest common multiple of 50 and (-2)/((-36)/(-99))*(1 - 41)? 1100 Suppose 23*l - 51*l + 308 = 0. What is the smallest common multiple of l and 51? 561 Calculate the common denominator of -31/37 and (-394)/592 + (-33)/(-264). 37 Let i(t) = -t**2 - 30*t - 33. What is the smallest common multiple of 16 and i(-3)? 48 Let n(x) = 2*x - 7. Calculate the least common multiple of 15 and n(16). 75 Suppose -1 = -3*k + 5. Suppose w + k*q = q - 3, 7 = w - q. Suppose 3*g + w*p = 68, p + 5 - 6 = 0. What is the least common multiple of g and 10? 110 Suppose 171 = 7*c - 151. Calculate the lowest common multiple of 20 and c. 460 Let m(s) = 3*s**3 - 4*s**2 + 3*s. Let a be m(2). Let p be (178/a)/(24/267). Let h = p + -1026/7. Calculate the common denominator of h and 13/14. 56 Let z be (-498)/(-21) + 2/7. Let l = z - 16. Find the common denominator of 2/l*488/10 and -125/6. 30 Let j = -7139/17100 - 26/475. Calculate the common denominator of j and -119/40. 360 Suppose 15*r = 10*r + 45. Let y = r - 1. Calculate the lowest common multiple of (6/(-5))/(2/(-5)) and y. 24 Suppose 0 = 4*y - 3*r - 60, 3*y + 12 - 57 = 4*r. Calculate the lowest common multiple of y and 5. 15 Let l(p) = -12*p + 2. Let d be (2*(-2)/4)/((-1)/(-2)). What is the lowest common multiple of l(d) and 2? 26 Let h = -264 - -276. What is the smallest common multiple of h and 53? 636 Suppose -v + 5*k - 8*k + 19 = 0, -68 = -3*v + 2*k. Let c = 10 + -4. What is the smallest common multiple of c and v? 66 Let o = 117 + -115. Suppose -o*d + 28 + 152 = 0. What is the least common multiple of d and 1? 90 Let c be (10333/6)/(2360/56788). Let j = c - 41440. Let b = j - -51319/38940. What is the common denominator of -17/4 and b? 44 Calculate the smallest common multiple of -15*(35 + -30)/((-6)/4) and 15. 150 Let y(u) = u + 3. Let s be y(-1). Suppose b - s = -1. What is the common denominator of -55/6 and (1/b)/(36/(-242))? 18 Let m = -8/378791 - 1120193205/378791. Let g = m - -2962. Let x = -11 + 6. What is the common denominator of x and g? 7 Suppose -5*t + 2*z + 35 = 0, -53*t + 49*t - 4*z = -28. Calculate the least common multiple of ((-2)/5)/((-1)/5) and t. 14 Let r = 71 - 56. Calculate the common denominator of (282/20)/(12/4) and (-932)/(-220) - (-6)/r. 110 Let m = -1473/4 + 349. Find the common denominator of m and (-2)/(396/(-1113)) - (-10)/(-15). 44 Suppose 0 = -2*q + 13 - 3, -5*p + 260 = 4*q. What is the smallest common multiple of 32 and p? 96 What is the common denominator of -10 + 15 + 4 + (-329)/33 and 157/60? 660 Let j be (-46)/(-5) - (-4)/(-20). Let n be (j - 24)/((-3)/34). What is the common denominator of 21/20 and (6/54)/((-4)/n)? 180 Find the common denominator of -73/16 and 2/25*(1 + (-189)/(-696)). 2320 Let c(b) = 5*b + 102. What is the least common multiple of 105 and c(-18)? 420 Let b = -12166081/8 + 1517568. Let v = b - -3183. Calculate the common denominator of v and 0 - (0 + 230/12). 24 Find the common denominator of 91/1866 and -1 + (-130)/(-220) + 2. 20526 What is the common denominator of 53/740 and -107*(-2)/(-12) + (-768)/(-256)? 2220 What is the least common multiple of 8 - (1 + (-2 - 5)) and 38? 266 Let s = 36 - 33. Suppose -3*d + s*l + 21 = 0, -5*d + 4*d - 13 = 4*l. Suppose -i - 2*i + 21 = 0. What is the least common multiple of d and i? 21 Calculate the common denominator of (-227)/44 + (13 - 8) and -15/4. 44 Let y = 205997/10938 - -1/5469. Find the common denominator of (-1)/(-2)*(-10)/45*23 and y. 18 Suppose 5*j + 13 = -27. Let g be 383/j + (-6)/48. Calculate the common denominator of 55/6 and 252/g - 4/3. 12 What is the common denominator of -121/144 and ((-1)/(-66))/(12 - (-11376)/(-954))? 1584 Suppose 5*z + 6 = 2*z, 5*j - 3*z = 56. What is the lowest common multiple of 456 and j? 2280 Let u = -2587 + 20759/8. Let o be 72/(-1308) + (0 - 0). Let y = 926/981 + o. Find the common denominator of u and y. 72 Let c = -14309/70 + 1016/5. Suppose 2*g + 18 = 4*h, -3*g = -0*g + h + 48. Calculate the common denominator of 1 - 4/(48/g) and c. 28 Find the common denominator of 47/80 and (-22)/3*((-418)/200 + 2). 400 Let h = -910 + 2538. Let l = -6471/4 + h. Find the common denominator of l and -107/12. 12 Suppose 2*o + 63 - 71 = 0. What is the smallest common multiple of o and 1158? 2316 Let o be 25163/105 + 4/(-60)*-6. Let v = o - 240. What is the common denominator of v and -143/36? 252 Let i(o) = -o**2 + 3*o + 8. Let z be i(6). Find the common denominator of 64/z*(-5)/3 and (50/(-84))/(2/(-18)). 42 What is the common denominator of 4/(-20) - (2 - 214/20) and -79/117? 234 Let r be 1/6 + ((-75)/18 - -4). Calculate the common denominator of 43/4 and r/(3 - -5) + (-67)/27. 108 Suppose -940 = 2*y + 2*y - 2*z, -2*y = 2*z + 482. What is the common denominator of 127/6 and (-25)/90*y/(-10)? 12 Let b(w) = 3*w**2 + 2*w + 1. Let m(z) = z**3 - 2*z**2 - 7*z + 7. Let p be m(3). Calculate the least common multiple of 24 + p/(-10)*-8 and b(-1). 20 Calculate the common denominator of (3*(-88)/(-36))/(1080/(-198)) and 101/60. 180 Let a = -1437911/154 - -9337. What is the common denominator of -139/24 and a? 1848 Let z be (-6)/((105/40)/(-7)). Suppose 0 = 5*b - z - 14. Calculate the lowest common multiple of b and 2. 6 What is the common denominator of 75/(-12)*(-3)/(-180) and 12/(-8)*(-25)/(-6)? 48 Let l = 15/4 - 331/36. Find the common denominator of -4/57 and l. 171 Let l = 1031/4 - 15479/60. Find the common denominator of 13/6 and l. 30 Let y = -219 + -39. What is the common denominator of 81/2 and y/(-60) - 2/5? 10 Let m be -34 + (1 - (2 + 1)). Let q = m + 26. What is the common denominator of 3/2 and 2/q - (-865)/(-550)? 22 Let n be (-2974)/(-1080) - (0 + 1). Let l = n - 1/270. Calculate the common denominator of (-2613)/104*6/27 and l. 12 Suppose -3*y = -4*i + 135, -5*y - 1 = 4. Calculate the lowest common multiple of 96 and i. 1056 Let f be (-4 - -7 - 3) + -2. Find the common denominator of -47/24 and (31 + f)*(-9)/198. 264 Let t(b) be the second derivative of -b**4/12 + 2*b**3 + 3*b**2/2 - 24*b. What is the least common multiple of t(7) and 14? 266 Let d(c) = c**3 - 6*c**2 + 3. Suppose 0 = 11*b + 2134 - 2233. Calculate the lowest common multiple of b and d(6). 9 Let w = -5167/455 - -51/65. Let h = -538/35 - w. What is the common denominator of -49/10 and h? 10 Let o be (1421/8)/(-1) - (-21)/(-56). What is the common denominator of 3*2/(-3)*o/88 and (-142)/(-12) + (-1)/(-1)? 66 Calculate the least common multiple of 6 and (27/(-108))/((-3)/31356). 5226 Let n(q) = 16*q - 18. Let i be n(-7). Calculate the common denominator of 45/28 and (i - (7 + -6))*(-2)/24. 84 Suppose 4*a + 32 = a - 4*x, -5*x - 41 = 4*a. Let b be 389397/(-300) - (-1)/a. Let t = b + 1298. Find the common denominator of 46/3 and t. 75 Let k(b) be the first derivative of 27*b**2/2 - 3*b - 36. Calculate the lowest common multiple of k(1) and 28. 168 Let w be (33/6)/(5/70). Let j = 93 - w. What is the smallest common multiple of 38 and j? 304 Calculat
{ "pile_set_name": "DM Mathematics" }
sqrt(7) - sqrt(175)*6)))**2. 7168 Simplify (-1 + sqrt(162) + 1 + sqrt(162)*-2 + -1 + 0 + sqrt(2)*-2*-6 + -1 + 4)**2. 12*sqrt(2) + 22 Simplify 3 + ((5 + (sqrt(1008) + -5)*-3 - (3 + 5*(0 + sqrt(1008))))*-5)**2. -81600*sqrt(7) + 1620028 Simplify (4*(sqrt(3630) + sqrt(3630)*-2*5))/(-6*(sqrt(10) - (sqrt(160) + sqrt(10))) + sqrt(180)/sqrt(2)). -44*sqrt(3)/3 Simplify (sqrt(180)*-3*2 + 2)**2 - ((sqrt(320)*4)/sqrt(4))**2*-1. -144*sqrt(5) + 7764 Simplify ((sqrt(3993) - (-2*sqrt(3993) - sqrt(3993))) + sqrt(33) + sqrt(33))/(sqrt(11) - sqrt(33)/sqrt(3)*2) - -3*(-5 + -4 + sqrt(27)). -37*sqrt(3) - 27 Simplify ((-6*(sqrt(2) + sqrt(18) - sqrt(2)) - 1*(sqrt(2) - sqrt(18))) + 6*(sqrt(288) + 3*(sqrt(288) + (sqrt(288) - sqrt(288)*-2))))**2. 1692800 Simplify (((5*(sqrt(198)*-1 + sqrt(198)))/(-2*sqrt(11)*-6))/(6*(-4*sqrt(6) + sqrt(6)) - sqrt(30)/(sqrt(15)/sqrt(3))))**2. 0 Simplify ((((sqrt(234) + sqrt(234) + (sqrt(234) - (sqrt(234) + -1*sqrt(234)) - sqrt(234)) + sqrt(234) + sqrt(234))*2)/(4*sqrt(36)))/(-1*2*sqrt(2)*-5*3))**2. 13/900 Simplify (sqrt(27) + sqrt(135)/sqrt(500) - (sqrt(2700) + (sqrt(2700) - sqrt(2700)*4)))/(4*sqrt(90)/(sqrt(10) + (sqrt(20) + sqrt(40)/sqrt(2))/sqrt(2))). 633*sqrt(3)/40 Simplify ((1 + 1 + 1 + sqrt(175) + sqrt(175))*-5 - (-5 + sqrt(175)*1*-2 + -4))**2*-4. -44944 - 1920*sqrt(7) Simplify (-1*-5*sqrt(270)*1)/(sqrt(250) + 5*(sqrt(250) + -1*sqrt(250)) + (sqrt(250) - -3*sqrt(250)*-2)). -3*sqrt(3)/4 Simplify ((sqrt(121)/sqrt(11) - sqrt(11))*-5 + sqrt(11)*3*4)**2 + -2 + 2 + sqrt(11) + 1 + 1*(-2*sqrt(11))**2. sqrt(11) + 1629 Simplify (sqrt(343)*-3*-1 + -3 + sqrt(343) + -3 - (-1*sqrt(343)*-3 + sqrt(343)*2*4)*-2)**2. -2184*sqrt(7) + 231904 Simplify (sqrt(190)*-1*5 + (sqrt(190) - sqrt(190)*-2)*6)/(sqrt(490)*-1*3). -13*sqrt(19)/21 Simplify (2 + -2*(sqrt(1331) + 4) + sqrt(1331) + -2 + (sqrt(1331) + 3)**2)*1. 55*sqrt(11) + 1332 Simplify ((sqrt(96)/sqrt(4)*3)/(-2*2*sqrt(8)) - ((sqrt(48) + -2)*2 + (sqrt(48) - (sqrt(192)/sqrt(4) + 3))))**2. -245*sqrt(3)/2 + 4459/16 Simplify -6*((sqrt(540)*-1*-5)/sqrt(12))/(sqrt(108)/sqrt(3)*-3). 5*sqrt(5) Simplify (1*(-4 + sqrt(2448)*2)*-1 - (-1 + -1 + sqrt(2448) - (sqrt(2448) + (3*sqrt(2448) - sqrt(2448)) + 3)))**2. 81 Simplify ((5*(sqrt(99)*-4 + sqrt(99)))/(sqrt(1152)/sqrt(2)) - 3*(-3 + sqrt(99) + 0)*-5)**2. -15525*sqrt(11)/4 + 1438875/64 Simplify -6*(1*(5 + -2*sqrt(4)/sqrt(2)) + -3*-4*sqrt(2) + sqrt(2) + (sqrt(2) - (-1*(4 + sqrt(2)) + sqrt(2))))**2. -2214 - 1296*sqrt(2) Simplify 4*3*((sqrt(70)*-2 + sqrt(70) + sqrt(70))*5 + ((sqrt(70) + sqrt(70)*2)*5 - sqrt(70) - sqrt(70)))/((sqrt(10) - sqrt(20)/sqrt(2)*5) + 1*sqrt(640)). 39*sqrt(7) Simplify 2*(4*(-2*sqrt(468) + sqrt(468) - sqrt(468))*6 + (3*sqrt(832) - ((sqrt(13) - sqrt(52)/sqrt(4))*2)**2)). -528*sqrt(13) Simplify (((sqrt(99) + -1 + sqrt(99))*4 + sqrt(99) + sqrt(99)*1*1)*-2)**2 - (4*(sqrt(99)*-2 + sqrt(99))**2 - (6*sqrt(99)*5)**2). -960*sqrt(11) + 128368 Simplify (sqrt(72)/sqrt(4) + -4)**2 - (-2*(sqrt(18)*2 + sqrt(18)))**2 - 5*(1*(sqrt(4608) + -1))**2. -23659 + 456*sqrt(2) Simplify ((((sqrt(1053) - (sqrt(1053) - (-1 + sqrt(1053)))*-6)**2 + sqrt(1053))*-6 - (-1 + sqrt(1053) + 5 + 0)**2) + -2)*1. -7605 - 774*sqrt(13) Simplify 3 + -5*(-6*((sqrt(80)*-1 + -1 - (1 + (sqrt(80) - (-1 + sqrt(80) + sqrt(80))))) + -3) + 5)**2. -8402 Simplify -4 + (-2*(-2*sqrt(468) + 4) - 3*(0 + (sqrt(468) - (sqrt(468) + -3))))**2. -816*sqrt(13) + 7773 Simplify ((1*sqrt(130) + sqrt(130))*4 - -3*(sqrt(130) + sqrt(130)*1))/((-3*(sqrt(70) + 1*sqrt(70) + sqrt(70)))/(sqrt(7) - (sqrt(7) + sqrt(252)/sqrt(4)))). 14*sqrt(13)/3 Simplify ((sqrt(117)*2*-6 + -2*sqrt(117)*3 + sqrt(117))/((-2*sqrt(441) - sqrt(441))*-3))**2 + -1 + -3. -12119/3969 Simplify ((sqrt(2) - sqrt(24)/(-3*sqrt(12)))**2 - (sqrt(2) + sqrt(2) + (sqrt(6)/(sqrt(6)/sqrt(2)))**2)) + 3 + -4*(sqrt(18) + -5 - sqrt(2)). -10*sqrt(2) + 221/9 Simplify (5*-4*(sqrt(50) - (sqrt(100) - (sqrt(100) + -4*sqrt(100) + sqrt(100)))/sqrt(2) - (sqrt(154)/(sqrt(11) + 4*sqrt(11)))/sqrt(7)))**2. 83232 Simplify ((-2*sqrt(88)*4 + sqrt(88) + (sqrt(88) - (sqrt(88) - sqrt(88)*1*-2)))*5)/(6*(1*(sqrt(1152) + -3*sqrt(1152)) - sqrt(1152))). 5*sqrt(11)/24 Simplify sqrt(396) + (-2 + sqrt(396))**2 + sqrt(22)/sqrt(50) + 1 - (sqrt(121) - sqrt(121)*-1*4)/sqrt(11)*-6. 61*sqrt(11)/5 + 401 Simplify (-6*(3 + sqrt(27)*-2 + 5 + sqrt(3)*1))**2 - (-4*1*sqrt(21))/(-1*-2*sqrt(7)). -2878*sqrt(3) + 5004 Simplify (5 + (2*sqrt(468))**2 - 3*(sqrt(468) + -1)) + -5 - ((sqrt(65) + sqrt(65) + sqrt(65)*-3)*-1 - sqrt(65))/(3*sqrt(245) - sqrt(5)). -18*sqrt(13) + 1875 Simplify ((sqrt(686) - (sqrt(686) + sqrt(686) + sqrt(686)*-3*-3))*-3)/(sqrt(8)*-5 - (sqrt(200)*-1 + sqrt(200))). -21*sqrt(7) Simplify ((sqrt(60)/sqrt(4) + sqrt(15))*4)/((2*sqrt(20))/sqrt(4)) - sqrt(15)/(sqrt(5)*2*-4)*-4*-6. 7*sqrt(3) Simplify (-4 + 2*(-3*(sqrt(300) + -1 + sqrt(300)) + sqrt(300) + 5 + 1 + 1))**2 + 5. -3200*sqrt(3) + 30261 Simplify ((((sqrt(85) - (sqrt(85) + (sqrt(85)*1 + sqrt(85) - sqrt(85)))) + sqrt(85))*-6)/(-1*sqrt(180)) + 2*-1*sqrt(102)/sqrt(6) + -1)**2*2*-1. -138 - 8*sqrt(17) Simplify 4*((sqrt(102)/(-2*sqrt(6)) - (sqrt(272) + 4 - sqrt(17))) + -1 - (sqrt(17) + 4*sqrt(17) + 4 - ((sqrt(85)/sqrt(5) - sqrt(17)) + -3))). -34*sqrt(17) - 48 Simplify ((sqrt(6655)*2 - sqrt(6655))*-1)/(sqrt(45)/(5*sqrt(9)*5 - sqrt(9))). -264*sqrt(11) Simplify 4 + 0 + (6*-6*(0 + (sqrt(704) + 2 + sqrt(704) + -4 - sqrt(704) - sqrt(704) - (-2*sqrt(704)*1 - sqrt(704) - sqrt(704)))))**2. -165888*sqrt(11) + 14603332 Simplify -1 + (2 + 1 + 4 + sqrt(147)*6 + -5)**2. 168*sqrt(3) + 5295 Simplify -1 + ((1*sqrt(475))**2 + (sqrt(931)*-2 - sqrt(931)) + sqrt(931) + 5 - (-5*-1*sqrt(114))/(sqrt(24)/(sqrt(4) + sqrt(20)/sqrt(5)))). -24*sqrt(19) + 479 Simplify sqrt(147) + 1*sqrt(147)*2 + (1 + sqrt(147))*1 + 4 + -5*(5 + 4*(sqrt(432) - sqrt(432)*2))**2. -34680 + 2428*sqrt(3) Simplify 4*(-6*(-6*(sqrt(70) - -1*sqrt(70)) + sqrt(70) - -2*sqrt(70)*6)/((sqrt(10) - (1*sqrt(20))/sqrt(2)) + (sqrt(10)*-2 - sqrt(10) - sqrt(10))*1)*1)**2. 63 Simplify (3*((sqrt(156) - (sqrt(156) + 3*sqrt(156)) - sqrt(156))/sqrt(3) - sqrt(1872)*3))/(sqrt(16)/(sqrt(24)/sqrt(96)) - (sqrt(256) - sqrt(256)*-1)*4). 11*sqrt(13)/10 Simplify ((1*(sqrt(495)*-2 + sqrt(495)))/(sqrt(63)/(1*sqrt(7))))/(-3*((sqrt(1331) - (-2*sqrt(1331) - sqrt(1331) - sqrt(1331)))*2 - sqrt(1331) - sqrt(1331))). sqrt(5)/264 Simplify ((sqrt(306)*-4 + sqrt(306) - sqrt(306))/sqrt(9) - (sqrt(238) + (sqrt(238) - 3*sqrt(238)))/sqrt(7))/(2*1*(sqrt(98) + -3*sqrt(98))). 3*sqrt(17)/28 Simplify (0 + sqrt(1053))**2 + sqrt(13) + (sqrt(52) + -1)**2 - (5*-1*sqrt(117))/(5*sqrt(9)*-1 - sqrt(9)). -23*sqrt(13)/6 + 1106 Simplify (2 + sqrt(3645) + (sqrt(3645)*-3)**2 - (2*sqrt(1125) + -4)) + 5. -3*sqrt(5) + 32816 Simplify 0 + ((-1*sqrt(576)*2)/((sqrt(3168)*-1 + sqrt(22))/sqrt(11)))**2 + 1. 1273/121 Simplify ((-4*-1*sqrt(459))/(sqrt(33)/(5*sqrt(99))) + -5)*-2. -360*sqrt(17) + 10 Simplify ((-5 + sqrt(34)/sqrt(50))*-5 - (sqrt(119)*1*-6)/(sqrt(336)/sqrt(3) - sqrt(7)))*-6. -150 - 6*sqrt(17) Simplify -6*((-2 + -3 + (-1 + (sqrt(1300) - (sqrt(1300) - (3 + sqrt(1300) + -2)) - sqrt(1300)))*4)**2 + -5). -120 Simplify ((sqrt(11) - sqrt(66)/(sqrt(150) + sqrt(6)))**2 + 4*1*sqrt(11))*-5 - (sqrt(99)*1 + 4 + 5)**2. -74*sqrt(11) - 7855/36 Simplify (sqrt(704) - -3*sqrt(704)*-2) + (sqrt(704)*1 - sqrt(704))*-3 + sqrt(704) + -1 + (sqrt(704) - (1 + sqrt(704))) + 1 + 4 + 1. -32*sqrt(11) + 4 Simplify (((sqrt(605) - (sqrt(605) + 3 + sqrt(605) + sqrt(605)*1)) + sqrt(605) - (sqrt(605) + sqrt(605) + -1 + 1)) + 0 + 2*(sqrt(80)*2 + -2 + 1))**2. 170*sqrt(5) + 1470 Simplify (2 + 3 + (-6*sqrt(152)*2)/(1*sqrt(8)*1) + 5)*-2. -20 + 24*sqrt(19) Simplify ((sqrt(504) + 4*1*sqrt(504))/(sqrt(24)/sqrt(32)))/((sqrt(6) - (-2*sqrt(30))/sqrt(5) - (sqrt(48)*-2)/sqrt(8))*3). 4*sqrt(7)/3 Simplify -3*(-5 + (sqrt(600) + -6*1*sqrt(600))/(sqrt(12) - (sqrt(12) + sqrt(12) + (sqrt(120)/sqrt(5) - sqrt(24))/sqrt(2)))*4). -300*sqrt(2) + 15 Simplify ((3*(-1*sqrt(190)*-1 - -4*sqrt(190)*2))/((sqrt(6050) - sqrt(6050)*-2)/((sqrt(150)/sqrt(3))/sqrt(10))))**2*1. 1539/121 Simplify 4*((-3*-2*sqrt(143) + (sqrt(143)*-2 + sqrt(143) + sqrt(143))*-6)*3)/(4*1*sqrt(1331)*2). 9*sqrt(13)/11 Simplify (((sqrt(72)/(sqrt(36)/sqrt(3)))/sqrt(3) - (sqrt(112)/(sqrt(32)/sqrt(4)))/sqrt(7)) + -3 + sqrt(64)/(sqrt(18)/(sqrt(27)/sqrt(3))))**2.
{ "pile_set_name": "DM Mathematics" }
1575? 35 What is the highest common factor of 1393 and 14? 7 Calculate the highest common factor of 55 and 352. 11 What is the greatest common factor of 72 and 38574? 18 Calculate the highest common divisor of 17 and 281. 1 Calculate the greatest common divisor of 5 and 215. 5 What is the greatest common divisor of 18588 and 24? 12 Calculate the greatest common factor of 69917 and 139. 139 Calculate the greatest common factor of 60 and 270. 30 Calculate the highest common divisor of 10 and 2710. 10 What is the highest common factor of 14773 and 187? 187 What is the greatest common divisor of 1414 and 98? 14 What is the highest common divisor of 714 and 126? 42 What is the highest common factor of 3392 and 53? 53 What is the greatest common factor of 3700 and 700? 100 Calculate the highest common factor of 21995 and 498. 83 Calculate the highest common divisor of 9102 and 222. 222 What is the greatest common factor of 28 and 168? 28 What is the highest common factor of 162 and 4131? 81 What is the greatest common factor of 754 and 20? 2 What is the greatest common divisor of 204 and 34? 34 What is the highest common factor of 5644 and 136? 68 Calculate the greatest common factor of 28 and 644. 28 Calculate the greatest common divisor of 21 and 994. 7 What is the highest common factor of 18 and 2682? 18 Calculate the greatest common factor of 408 and 561. 51 What is the highest common divisor of 1956 and 12? 12 Calculate the highest common factor of 20 and 18. 2 Calculate the highest common factor of 400 and 2680. 40 Calculate the greatest common factor of 414 and 3335. 23 What is the greatest common divisor of 1230 and 2430? 30 What is the greatest common factor of 3174 and 92? 46 What is the highest common factor of 190 and 76? 38 Calculate the greatest common factor of 1588 and 16. 4 Calculate the greatest common divisor of 54 and 4374. 54 Calculate the greatest common factor of 8700 and 58. 58 Calculate the highest common factor of 8640 and 36. 36 What is the highest common factor of 5124 and 420? 84 What is the highest common factor of 4459 and 245? 49 What is the highest common divisor of 55 and 407? 11 Calculate the greatest common divisor of 1121 and 38. 19 What is the greatest common factor of 4030 and 10? 10 What is the greatest common divisor of 17763 and 191? 191 Calculate the greatest common factor of 60 and 84540. 60 What is the greatest common divisor of 513 and 297? 27 What is the highest common divisor of 2915 and 20? 5 Calculate the greatest common divisor of 8 and 248. 8 Calculate the greatest common factor of 74 and 6. 2 Calculate the highest common factor of 20 and 6860. 20 What is the greatest common divisor of 7238 and 154? 154 Calculate the highest common factor of 260 and 1612. 52 What is the greatest common divisor of 80 and 20? 20 What is the highest common divisor of 296 and 222? 74 What is the highest common divisor of 13677 and 141? 141 Calculate the greatest common factor of 172 and 4. 4 What is the greatest common divisor of 16677 and 109? 109 What is the greatest common divisor of 1617 and 33? 33 What is the highest common divisor of 63 and 36645? 21 What is the highest common divisor of 19 and 43795? 19 Calculate the greatest common divisor of 9348 and 76. 76 Calculate the highest common divisor of 3724 and 304. 76 Calculate the greatest common factor of 112 and 364. 28 What is the greatest common divisor of 27 and 3465? 9 What is the highest common divisor of 71343 and 9? 9 What is the greatest common divisor of 540 and 729? 27 Calculate the greatest common divisor of 528 and 64. 16 What is the highest common divisor of 588 and 490? 98 What is the highest common factor of 91 and 143? 13 What is the highest common divisor of 183 and 305? 61 What is the highest common factor of 190 and 114? 38 What is the greatest common divisor of 100 and 140? 20 Calculate the highest common factor of 14 and 119. 7 Calculate the greatest common divisor of 135 and 486. 27 What is the highest common divisor of 221 and 17? 17 What is the highest common factor of 224 and 7? 7 Calculate the greatest common factor of 768 and 288. 96 Calculate the highest common factor of 1211 and 11591. 173 What is the greatest common factor of 1334 and 203? 29 What is the highest common factor of 36 and 134? 2 What is the highest common divisor of 371 and 159? 53 Calculate the greatest common factor of 26 and 26. 26 What is the greatest common factor of 672 and 24? 24 What is the greatest common factor of 9268 and 56? 28 Calculate the greatest common divisor of 140 and 28. 28 Calculate the greatest common divisor of 5 and 1690. 5 What is the highest common factor of 1235 and 2717? 247 What is the greatest common factor of 12 and 1800? 12 What is the greatest common factor of 72 and 27576? 72 Calculate the highest common divisor of 13 and 73567. 13 What is the highest common divisor of 44 and 26961? 11 What is the greatest common factor of 8 and 374? 2 What is the highest common divisor of 25 and 365? 5 What is the highest common divisor of 28 and 10843? 7 Calculate the highest common factor of 19 and 95. 19 What is the greatest common factor of 4 and 16128? 4 Calculate the greatest common factor of 15 and 915. 15 What is the highest common factor of 3615 and 60? 15 Calculate the greatest common divisor of 8532 and 632. 316 Calculate the greatest common divisor of 5 and 1315. 5 What is the highest common divisor of 225 and 45? 45 What is the highest common factor of 232 and 638? 58 Calculate the highest common factor of 1 and 41. 1 Calculate the highest common divisor of 119 and 2227. 17 What is the greatest common factor of 22 and 1815? 11 What is the greatest common divisor of 2187 and 1? 1 Calculate the greatest common factor of 55 and 44. 11 What is the greatest common divisor of 364 and 7? 7 What is the highest common factor of 65 and 119080? 65 Calculate the greatest common divisor of 132 and 17358. 66 Calculate the highest common divisor of 323 and 38. 19 Calculate the greatest common divisor of 6336 and 198. 198 Calculate the highest common factor of 10105 and 235. 235 What is the greatest common divisor of 21644 and 28? 28 What is the greatest common divisor of 74 and 18? 2 Calculate the greatest common factor of 774 and 172. 86 Calculate the greatest common divisor of 56 and 8. 8 Calculate the highest common factor of 348 and 4. 4 What is the highest common factor of 190 and 1862? 38 What is the highest common factor of 2651 and 22? 11 What is the greatest common divisor of 27 and 387? 9 What is the highest common divisor of 49 and 91? 7 Calculate the highest common factor of 144 and 1944. 72 Calculate the highest common divisor of 9685 and 325. 65 What is the highest common factor of 4 and 16? 4 Calculate the highest common factor of 42 and 182. 14 What is the greatest common divisor of 238 and 102? 34 Calculate the highest common factor of 3064 and 8. 8 What is the greatest common factor of 143 and 767? 13 Calculate the greatest common divisor of 3136 and 42. 14 What is the greatest common factor of 44 and 16? 4 What is the highest common divisor of 990 and 33? 33 What is the highest common divisor of 125 and 1125? 125 What is the greatest common divisor of 90 and 144? 18 Calculate the highest common divisor of 655 and 262. 131 Calculate the greatest common divisor of 1104 and 14. 2 Calculate the greatest common factor of 702 and 26. 26 Calculate the highest common divisor of 24 and 28. 4 Calculate the highest common divisor of 12 and 42324. 12 Calculate the highest common divisor of 63 and 7. 7 Calculate the greatest common divisor of 403 and 217. 31 Calculate the greatest common factor of 42 and 3976. 14 What is the highest common factor of 146 and 4526? 146 What is the highest common divisor of 216 and 13752? 72 Calculate the highest common divisor of 5 and 5. 5 Calculate the highest common divisor of 4 and 316. 4 Calculate the greatest common divisor of 513 and 437. 19 Calculate the greatest common factor of 20 and 20. 20 Calculate the highest common divisor of 1430 and 2310. 110 What is the highest common divisor of 142 and 16259? 71 Calculate the greatest common divisor of 128 and 2. 2 What is the highest common divisor of 230
{ "pile_set_name": "DM Mathematics" }
-6*g(f) + 17*k(f). -507*f**3 Let h(u) be the first derivative of -43*u**2/2 + 3*u - 6131. Let d(a) = 388*a - 28. Give 3*d(p) + 28*h(p). -40*p Let f(c) be the first derivative of 5*c**4/2 + c**3 + 1147. Let n(x) = -19*x**3 - 5*x**2. Determine 7*f(a) + 4*n(a). -6*a**3 + a**2 Let v(c) = -293*c**2 + c + 24. Let h(o) = -587*o**2 + 2*o + 42. What is -4*h(k) + 7*v(k)? 297*k**2 - k Let f be ((-6)/24)/(1/(-28)). Let j(q) = -3*q**3 - 4*q. Let c(m) = 10*m**3 + 13*m - 1. Calculate f*j(x) + 2*c(x). -x**3 - 2*x - 2 Let c(o) be the second derivative of -98*o - 2/3*o**3 - o**2 + 0. Let k(d) = -9*d - 5. Calculate -10*c(n) + 4*k(n). 4*n Let g(q) = -2*q**3 + 4*q + 45. Let h(z) = -3*z**3 + z**2 + 5*z + 70. Calculate 5*g(y) - 4*h(y). 2*y**3 - 4*y**2 - 55 Let k = 44 - 528. Let p = 486 + k. Let j(a) = 2*a**2 - 2*a + 2. Let l(n) = n**3 - 1. Give p*l(d) + j(d). 2*d**3 + 2*d**2 - 2*d Let l(n) = -433*n - 86. Let g(r) = 151*r + 29. Determine 17*g(o) + 6*l(o). -31*o - 23 Let c(k) = 68*k. Let h(i) = i. Let m = -10678 - -10677. Calculate m*c(s) + 10*h(s). -58*s Let h(s) = 15*s**2 + 25*s + 16. Let g(z) = -7*z**2 - 11*z - 7. Let c(p) = 5*g(p) + 2*h(p). Let f(v) = -6*v**2 - 6*v - 4. Determine 4*c(t) - 3*f(t). -2*t**2 - 2*t Let r(p) = 510*p**2 + 160*p**2 - 4*p + 6*p - 672*p**2. Let z(o) = -3*o**2 + 3*o + 1. Give -5*r(m) + 3*z(m). m**2 - m + 3 Let h(r) = 12 - 9 + 11 + 18*r - 16 - 3*r. Let j(b) = 76*b - 11. Let x = -3 - -14. What is x*h(y) - 2*j(y)? 13*y Let k = 580 + -533. Suppose -12*q + 13 = -k. Let v be (5 - 1)/2 - 1. Let x(s) = -s. Let d(h) = 2*h. What is q*x(l) + v*d(l)? -3*l Let x(o) = -4*o**2 + 2*o - 73. Let b(y) = 15*y**2 - 8*y + 219. What is -2*b(q) - 7*x(q)? -2*q**2 + 2*q + 73 Let t(h) = 6*h**2 + 17*h - 5. Let d(k) = -5*k**2 - 22*k + 5. Determine -3*d(y) - 4*t(y). -9*y**2 - 2*y + 5 Let r(k) be the first derivative of -k**2 + k + 1. Suppose -5*a + 4*n = -n - 85, -29 = -2*a + n. Let u(p) = 4 - a + 4*p + 4 + 2. Determine -7*r(b) - 3*u(b). 2*b - 1 Let w(f) = 10*f**3 + 3*f**2 - 5*f + 5. Let q(l) = 19*l**3 + 5*l**2 - 7*l + 8. What is -3*q(n) + 5*w(n)? -7*n**3 - 4*n + 1 Let r(l) = 7*l**3 + 117*l**2 + 10*l + 1. Let g(d) = -22*d**2 + d. Determine 5*g(a) + r(a). 7*a**3 + 7*a**2 + 15*a + 1 Let r(h) = 259*h**2. Suppose -8*p = -0*p + 160. Let f(i) = i**2 + i. Let t(q) = 30*q**2 + 20*q. Let k(z) = p*f(z) + t(z). Calculate -154*k(y) + 6*r(y). 14*y**2 Let g(t) = 270*t - 779. Let s(n) = 169*n - 520. Determine -5*g(p) + 8*s(p). 2*p - 265 Let n(s) = -17*s**3 + 21*s**2 - 41*s + 7. Let q(m) = 8*m**3 - 11*m**2 + 25*m - 4. Give 3*n(r) + 5*q(r). -11*r**3 + 8*r**2 + 2*r + 1 Suppose 22*n - 18*n - 69 = -5*o, 20 = 4*o. Let r(h) = -2*h**3 + h**2 - 1. Let y(s) = 9*s**3 - 5*s**2 + 6. Give n*r(j) + 2*y(j). -4*j**3 + j**2 + 1 Let f(c) = -361*c**3 - 43*c**2 - 6*c - 18. Let q(v) = 722*v**3 + 80*v**2 + 11*v + 33. What is 11*f(y) + 6*q(y)? 361*y**3 + 7*y**2 Let g = -4696 - -4728. Let r(i) = -1 - 3*i - 2 - 2*i. Let m(u) = 56*u + 32. Calculate g*r(k) + 3*m(k). 8*k Let i(g) = 2*g**3 + 6*g**2 + 8*g - 41. Let d(r) = 2*r**3 + 5*r**2 + 7*r - 34. Let o(y) = -6*d(y) + 5*i(y). Let f(c) = c + 1. Determine f(p) + o(p). -2*p**3 - p Let a(r) = r - 11. Let b(i) = -94*i + 82. Determine 5*a(v) + b(v). -89*v + 27 Let v(p) = 13*p**2 + 80*p - 13. Let o(w) = -41*w**2 - 243*w + 40. Calculate -6*o(q) - 19*v(q). -q**2 - 62*q + 7 Let x(g) = 40*g**3 + 141*g**2 + 2*g - 1. Let m(k) = -60*k**3 - 206*k**2 - 3*k + 2. What is -5*m(o) - 8*x(o)? -20*o**3 - 98*o**2 - o - 2 Let t(i) = i**3 - 2*i**2 - 1. Let q be t(2). Let j(y) = 14 + 10 + 15 - 63 + 23. Let u(x) = -2*x + 8. Calculate q*u(v) - 4*j(v). 2*v - 4 Suppose -15 = 3*o + 3. Let h(z) be the third derivative of -17/6*z**3 + 0 - 5/8*z**4 - 16*z**2 + 0*z. Let a(p) = 7*p + 8. Give o*h(d) - 13*a(d). -d - 2 Let t(w) = 89*w**2 - 11*w - 11. Let x(z) = -17 - 30*z**2 + 14 + 6*z + 7 - 7*z + 5*z. Determine -4*t(i) - 11*x(i). -26*i**2 Let g(u) = 2*u**2 - 489. Let o(a) = -2*a**2 + 457. Let c(i) = 14*g(i) + 15*o(i). Let d(m) = -m**2 + 6. Determine -5*c(q) + 8*d(q). 2*q**2 + 3 Let f(y) = 2*y**3 + 7*y**2 - 4*y + 6. Let p(w) = -5*w + 11. Let s be p(3). Let j be f(s). Let b(v) = -v. Let k(n) = n**2 + 6*n. Give j*b(d) + k(d). d**2 Let f(q) = 13*q**2 - 8*q + 300. Let y(s) = 23*s**2 - 14*s + 601. What is -7*f(u) + 4*y(u)? u**2 + 304 Let s(i) = -2*i**2 + 4*i. Let g(j) = 11*j**2 - 19*j + 5. Let c(t) = g(t) + 3*s(t). Let f(w) = -3*w**2 + 3*w - 2. Give 3*c(o) + 7*f(o). -6*o**2 + 1 Let a = -118 - -126. Let s(b) = -b**3 + 3. Suppose -3*q = 3*d - 9, -3*q - 3 + 6 = d. Let g(c) = 3*c**3 - c - 8. Give a*s(z) + d*g(z). z**3 - 3*z Let y(d) = -11*d + 70. Let r(w) = -9*w + 59. Let i(l) = 6*r(l) - 5*y(l). Let h(f) = 1 + f + 10 - 6. What is -5*h(n) + 6*i(n)? n - 1 Let t(z) = 15*z**3 + 16*z**2 + 9*z + 1. Let h(y) = -2*y**3 - y + 1. Determine 9*h(a) + t(a). -3*a**3 + 16*a**2 + 10 Let m(x) = x - 101. Let y(j) = -2*j + 110. Calculate -5*m(b) - 4*y(b). 3*b + 65 Let c(f) = -5*f - 8. Let a(o) = 959*o + 47. Let z(j) = 698*j + 35. Let m(h) = -8*a(h) + 11*z(h). Calculate -3*c(v) - 2*m(v). 3*v + 6 Let a(b) = b**3 - 3*b**2 - 2*b - 1. Let v(x) = -5*x**3 + 1736*x**2 + 5*x + 3. Determine -3*a(g) - v(g). 2*g**3 - 1727*g**2 + g Let s(f) = -9*f + 2. Let d(q) be the second derivative of q**2/2 - 29*q - 18. Calculate -d(u) + s(u). -9*u + 1 Let m(o) = -o. Let f(x) = -2*x - 1. Suppose 16 = 7*b + 9. Let q be (b + 36/(-20))*5. Determine q*m(t) + f(t). 2*t - 1 Let y(o) = -11 + 8*o - 20 + 23. Let h(m) = 9*m - 9. Let d(g) = 5*h(g) - 6*y(g). Let t(a) = 3*a - 2. Give -3*d(v) - 4*t(v). -3*v - 1 Let x be 14/4*(-3672)/2142. Let a(m) = 8*m**2 + 6*m - 29. Let w(b) = -3*b**2 - 2*b + 10. Give x*a(u) - 17*w(u). 3*u**2 - 2*u + 4 Let i(z) = 61*z - 254. Let y(a) = 25*a - 127. Determine -4*i(k) + 10*y(k). 6*k - 254 Let i(y) = -3*y + 2. Let l(c) = -6*c + 1. Let u(m) = 14*m - 2. Suppose 63 - 53 = 5*v. Let r(s) = v*u(s) + 5*l(s). Calculate -5*i(w) + 8*r(w). -w - 2 Let y(d) = 1832*d**2 - 229*d + 229. Let v(n) = -4*n**2 + n - 1. What is 458*v(f) + 2*y(f)? 1832*f**2 Let u(w) = -2*w**3 - 8*w**2 + 5*w + 6. Let c(r) = -r**2 + r + 1. Suppose 116*d - 30 - 132 = -46. Determine d*u(l) - 6*c(l). -2*l**3 - 2*l**2 - l Let q(a) = -2*a**2 + 3*a - 4. Let p(c) = 6*c**2 - 16*c + 378. Let k(w) = 7*w**2 - 16*w + 259. Let v(b) = -3*k(b) + 2*p(b). Calculate 11*q(x) - 2*v(x). -4*x**2 + x - 2 Let o be (19/2)/(3/6). Let k = 23 - o. Suppose x - 1 = -6, 5*y - 30 = -4*x. Let i(u) = 2*u + 2. Let n(c) = c**2 - 5*c - 5. Calculate k*n(r) + y*i(r). 4*r**2 Let p(x) = -6*x**2 - 186*x - 6. Let b(w) = 14*w**2 + 372*w + 12. Determine -4*b(a) - 9*p(a). -2*a**2 + 186*a + 6 Let q(k) = 2*k**2 - 8. Let i(g) = -g**2 + 7. Let p(o) = 2*o**2 - 38*o + 2. Let v be p(19). What is v*q(x) + 3*i(x)? x**2 + 5 Let n(s) = -6*s**2 - s - 2. Let l(u) = -20824*u**2 - 4*u - 8. What is l(v) - 4*n(v)? -20800*v**2 Let l(p) = -9*p + 8. Let a(z) = -15*z + 9. Determine 6*a(o) - 7*l(o). -27*o - 2 Let q(y) = -9*y**2 + 10*y - 28. Let o(a) = 41*a**2 - 39*a + 115. Determine 2*o(z) + 9*q(z). z**2 + 12*z - 22 Let x(o) = 3*o + 6. Let v(c) = c + 2. Suppose 120 = -34*f - 6*f. What is f*x(i) + 8*v(i)? -i - 2 Let c(u) = -70*u + 2803. Let n(s) = -87*s + 2802. What is -5*c(i) + 4*n(i)? 2*i - 2807 Let j(c) = -20*c - 105. Let k be j(-5). Let a(z) = 12*z - 7. Let g(f) = -6*f + 4. Give k*g(h) - 3*a(h). -6*h + 1 Let g(x) = 8*x**3 - 6*x**2 - 3*x + 12. Let n(b) be the first derivative of 9*b**4/4 - 7*b**3/3 - 3*b**2/2 + 13*b + 3085. Calculate -7*g(j) + 6*n(j). -2*j**3 + 3*j - 6 Let d(j) = -4*j + 1. Let i(o) = -27*o**2 - 18*o - 3. What is -5*d(l) - i(l)? 27*l**2 + 38*l - 2 Let f(a) = 6*a - 4. Let l(s) = -s**2 + 11*s - 7. Let c be l(9). Let n(r) = -2 + 2 - 10 + 3 + c*r. What is 5*f(u) - 3*n(u)? -3*u + 1 Let r(a) = 724*a + 75. Let b(d) = -357*d - 36. Calculate 5*b(h) + 2*r(h). -337*h - 30 Let k(u) = 326*u - 21. Let d(l) = 159*l - 9. Give -5*d(m) + 2*k(m). -143*m + 3 Let u(p) = 4*p**3 + 2*p**2 + 2*p - 2. Let f be 66*(-12)/108 + 10/3. Let w(m) = -4*m**3 - 3*m**2 - 3*m + 3. Suppose -2*g - 7 = 5. What is f*w(x) + g*u(x)? -8*x**3 Let d(w) = 11*w**2 + 3*w. Let u(k) = -4*k**2 - k + 9. Let g(x) = -8*x**2 - 2*x + 15. Let b(q) = 3*g(q) - 5*u(q). What is 17*b(r) + 6*d(r)? -2*r**2 + r Let g(o) = -o**2 - 6*o + 6. Suppose 11*q - 7*q = 2*v + 8, 4*v + 6 = -2*q. Let
{ "pile_set_name": "DM Mathematics" }
f -51/11 and 61/156013. 156013 Calculate the least common multiple of 1195 and 2227. 2661265 Find the common denominator of 41/3672 and -31/2754. 11016 Calculate the least common multiple of 14112 and 21952. 197568 What is the common denominator of 77/24 and 21/3158? 37896 What is the common denominator of -137/21492 and -133/216? 42984 What is the common denominator of -133/192 and 31/3200? 9600 Calculate the least common multiple of 94473 and 243. 850257 What is the lowest common multiple of 131295 and 175060? 525180 What is the common denominator of 115/40704 and 97/11448? 366336 Find the common denominator of 23/136 and -43/2720. 2720 What is the common denominator of 155/66 and 5/145167? 290334 Calculate the common denominator of -34/798181 and 61/5013. 7183629 What is the common denominator of -11/99003 and -27? 99003 Calculate the common denominator of -23/18516 and -179/46290. 92580 Find the common denominator of 167/9960 and 113/60. 9960 Calculate the least common multiple of 4934 and 4934. 4934 What is the common denominator of 181/19410 and -29/7117? 213510 What is the common denominator of -56/123913 and -10/123? 15241299 Calculate the least common multiple of 944 and 4292. 1012912 Find the common denominator of 11/10344 and 19/44. 113784 What is the lowest common multiple of 40335 and 1014? 13633230 Calculate the least common multiple of 395590 and 11050. 1977950 What is the least common multiple of 1408 and 208? 18304 Calculate the lowest common multiple of 29424 and 2976. 1824288 What is the lowest common multiple of 351 and 4563? 4563 Find the common denominator of -50/1647 and -13/378. 23058 Calculate the lowest common multiple of 118610 and 34. 2016370 What is the common denominator of -47/912 and 11/2784? 52896 What is the smallest common multiple of 3861 and 494? 146718 What is the common denominator of -113/342 and 17/3192? 9576 Find the common denominator of 41/43920 and 95/294. 2152080 Calculate the lowest common multiple of 2457 and 84. 9828 What is the smallest common multiple of 82733 and 2597? 579131 What is the lowest common multiple of 272690 and 173530? 1908830 Calculate the common denominator of -133/69264 and -69/416. 138528 What is the least common multiple of 10906 and 52? 283556 Calculate the common denominator of 71/53270 and -32/64685. 905590 Calculate the smallest common multiple of 21364 and 26705. 106820 What is the lowest common multiple of 462 and 15224? 319704 What is the common denominator of 25/891 and 52/13365? 13365 What is the common denominator of -99/80 and -67/1288? 12880 What is the common denominator of -87/76 and -123/1469800? 27926200 Calculate the common denominator of -95/7038 and 23/374. 77418 What is the lowest common multiple of 22 and 12124? 133364 Find the common denominator of 101/84 and -33/20624. 433104 What is the least common multiple of 3936 and 1599? 51168 Find the common denominator of -73/1295 and -57/748. 968660 What is the smallest common multiple of 5180 and 28? 5180 What is the common denominator of -31/4868 and -77/1199962? 2399924 What is the common denominator of 81/10 and 44/609677? 6096770 What is the common denominator of -95/2268 and -6/5? 11340 What is the lowest common multiple of 125990 and 138589? 1385890 What is the least common multiple of 244 and 66? 8052 Calculate the lowest common multiple of 244608 and 50960. 1223040 Calculate the common denominator of 58/221649 and 97/591064. 1773192 Calculate the common denominator of 21/2 and -7/11785. 23570 What is the common denominator of -101/112402 and 8/5? 562010 What is the lowest common multiple of 1404 and 2319? 1085292 What is the least common multiple of 1845 and 3765? 463095 What is the least common multiple of 470 and 84870? 3988890 What is the common denominator of -37/21159 and 31/9404? 84636 Calculate the least common multiple of 35 and 51114. 255570 Calculate the common denominator of 59/2262 and 73/2262. 2262 What is the common denominator of 181/9660 and 1/16560? 115920 Find the common denominator of -143/14400 and 121/45600. 273600 What is the least common multiple of 1506168 and 190? 7530840 Find the common denominator of 1/115 and 18/15157. 75785 Calculate the common denominator of 22/2315 and 19/482909. 2414545 Calculate the common denominator of 113/1710 and -35/15381. 2922390 What is the lowest common multiple of 75920 and 2756? 4023760 What is the common denominator of 17/47384 and 61/4? 47384 Calculate the least common multiple of 48 and 72. 144 What is the common denominator of -37/3590 and -15/476? 854420 What is the common denominator of -31/20601 and 65/2289? 20601 Calculate the least common multiple of 292 and 13140. 13140 What is the common denominator of -53/2511 and -5/7371? 228501 What is the common denominator of -37/533700 and 41/450? 533700 Calculate the common denominator of 41/45641 and -49/4. 182564 Calculate the common denominator of 44/39 and 13/3033. 39429 What is the least common multiple of 952 and 136000? 952000 What is the smallest common multiple of 7482 and 24? 29928 Find the common denominator of -44/435 and 38/5829. 29145 What is the common denominator of -7/39093 and -29/39093? 39093 Calculate the common denominator of 81/3212 and -21/22759. 6645628 Calculate the common denominator of -17/20180 and -77/151350. 302700 What is the lowest common multiple of 24 and 43440? 43440 Calculate the lowest common multiple of 111 and 7657. 849927 What is the smallest common multiple of 213372 and 231153? 2773836 What is the common denominator of 3/208132 and 37/12? 624396 Find the common denominator of -61/428 and -101/18. 3852 What is the least common multiple of 560 and 84? 1680 Find the common denominator of -41/45 and -53/4565. 41085 What is the lowest common multiple of 10140 and 7098? 70980 What is the common denominator of -59/36 and 28/310383? 1241532 What is the least common multiple of 66 and 2343? 4686 Find the common denominator of -83/126 and 129/5698. 51282 Calculate the common denominator of -149/643104 and 127/38976. 1286208 What is the common denominator of -56/6515 and 23/30? 39090 Calculate the common denominator of -49/27 and 73/2659959. 2659959 What is the common denominator of -29/44361 and 61/394320? 3548880 What is the common denominator of 89/6776 and -59/19250? 847000 Find the common denominator of 47/11682 and -23/404622. 4450842 Calculate the least common multiple of 123 and 162813. 6675333 What is the least common multiple of 53336 and 5876? 693368 Calculate the least common multiple of 364200 and 4200. 2549400 What is the smallest common multiple of 462 and 1673? 110418 Calculate the smallest common multiple of 56 and 13320. 93240 Find the common denominator of 83/4340 and -77/1616. 1753360 What is the common denominator of 73/9076 and 1/116? 263204 What is the lowest common multiple of 308 and 75460? 75460 What is the smallest common multiple of 2 and 351418? 351418 What is the common denominator of -83/17460 and 139/30? 17460 What is the lowest common multiple of 5888 and 3036? 194304 Calculate the smallest common multiple of 22968 and 180. 114840 Calculate the smallest common multiple of 608 and 1064. 4256 Calculate the least common multiple of 2782 and 112671. 225342 Calculate the lowest common multiple of 361310 and 397441. 3974410 Calculate the smallest common multiple of 33 and 135258. 1487838 What is the common denominator of -48/12679 and 49/620? 253580 Calculate the least common multiple of 9 and 533818. 4804362 What is the least common multiple of 2304 and 49920? 149760 Find the common denominator of 149/4650 and 133/5270. 79050 Find the common denominator of -16/386505 and 53/315. 386505 Calculate the common denominator of -39/686 and 149/402. 137886 Calculate the common denominator of -21/29962 and -97/59924. 59924 What is the common denominator of -62/945 and -109/2835? 2835 What is the common denominator of -47/324 and -7/312336? 312336 Calculate the common denominator of 37/32 and -93/418208. 418208 Calculate the common denominator of -31/60108 and -75/1052. 15808404 Calculate the common denominator of -25/351 and -89/1296. 16848 Calculate the least common multiple of 510 and 300. 5100 Calculate the common denominator of -82/8
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {x: 3, k: 11, o: 5, c: 1}? 1/969 Calculate prob of picking 1 n and 2 t when three letters picked without replacement from nxtxtntxt. 1/7 Three letters picked without replacement from sbkasahgbhsasbbbh. Give prob of picking 1 k, 1 b, and 1 g. 1/136 Three letters picked without replacement from ayyaaaapaayayaayy. Give prob of picking 1 p and 2 a. 9/136 Three letters picked without replacement from {h: 1, n: 1, f: 1, g: 1, v: 3}. Give prob of picking 3 v. 1/35 Calculate prob of picking 3 l when three letters picked without replacement from {a: 6, l: 4}. 1/30 Two letters picked without replacement from oooooiiooo. Give prob of picking 2 o. 28/45 Three letters picked without replacement from ljrr. What is prob of picking 1 j and 2 r? 1/4 Calculate prob of picking 1 w and 3 k when four letters picked without replacement from {k: 6, y: 4, w: 4, i: 1}. 16/273 Three letters picked without replacement from {i: 3, s: 5, c: 7, y: 2}. What is prob of picking 1 i, 1 c, and 1 y? 21/340 Two letters picked without replacement from {f: 3, z: 2}. What is prob of picking 1 f and 1 z? 3/5 What is prob of picking 1 h, 1 u, and 1 v when three letters picked without replacement from {v: 1, b: 1, u: 2, o: 4, h: 2}? 1/30 What is prob of picking 1 n and 2 h when three letters picked without replacement from {n: 2, b: 1, l: 1, h: 9, g: 4}? 9/85 Four letters picked without replacement from {x: 1, g: 2, n: 2, j: 14}. Give prob of picking 1 g, 2 n, and 1 j. 7/969 Two letters picked without replacement from qykzktkztzf. Give prob of picking 1 q and 1 f. 1/55 Calculate prob of picking 3 z and 1 p when four letters picked without replacement from zztutzzzpzptptzppp. 7/102 What is prob of picking 1 f, 1 y, and 1 w when three letters picked without replacement from wfwfyffwffyf? 21/110 Two letters picked without replacement from rrsrrrs. Give prob of picking 1 s and 1 r. 10/21 What is prob of picking 3 i when three letters picked without replacement from qiqi? 0 What is prob of picking 1 q, 1 g, and 2 w when four letters picked without replacement from gaooooogqoww? 2/495 Calculate prob of picking 2 d and 1 k when three letters picked without replacement from {m: 1, d: 9, k: 1}. 12/55 Two letters picked without replacement from {j: 3, x: 5, v: 3, m: 2}. Give prob of picking 2 x. 5/39 Calculate prob of picking 1 a and 1 n when two letters picked without replacement from anaaaazazanz. 7/33 Calculate prob of picking 1 j and 3 z when four letters picked without replacement from apzpjtzatazezpa. 4/1365 What is prob of picking 2 h when two letters picked without replacement from {n: 3, a: 2, x: 1, h: 1}? 0 Four letters picked without replacement from fffllllllllllflllllf. Give prob of picking 2 l and 2 f. 70/323 Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {i: 1, a: 2}. 2/3 Two letters picked without replacement from {h: 2, w: 3}. What is prob of picking 1 w and 1 h? 3/5 Calculate prob of picking 2 p when two letters picked without replacement from {b: 3, p: 9}. 6/11 Two letters picked without replacement from ajjaajjjnjyj. Give prob of picking 1 y and 1 n. 1/66 Calculate prob of picking 1 v and 1 q when two letters picked without replacement from aaqqqvvkab. 2/15 Three letters picked without replacement from qnostnqsonqtnnvntt. What is prob of picking 1 t, 1 s, and 1 v? 1/102 Four letters picked without replacement from ttjjjeeeseeetmet. What is prob of picking 1 j, 2 t, and 1 s? 9/910 Four letters picked without replacement from lmttmztllt. What is prob of picking 1 t, 2 z, and 1 l? 0 Two letters picked without replacement from rrrrvorrrrorrrvrqvr. What is prob of picking 1 r and 1 q? 13/171 Four letters picked without replacement from dzzdd. Give prob of picking 2 d and 2 z. 3/5 Three letters picked without replacement from llvuuuuuvuuuupuuulu. Give prob of picking 2 l and 1 p. 1/323 Two letters picked without replacement from hhhhhhhhh. What is prob of picking 2 h? 1 What is prob of picking 1 k and 1 x when two letters picked without replacement from xhkhkkhhkkxh? 5/33 Four letters picked without replacement from {s: 14, u: 4}. What is prob of picking 2 s and 2 u? 91/510 Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {c: 5, g: 14}. 70/171 What is prob of picking 2 h when two letters picked without replacement from jhjhjjj? 1/21 Calculate prob of picking 1 o, 2 s, and 1 a when four letters picked without replacement from {a: 4, s: 2, o: 6}. 8/165 What is prob of picking 1 d, 1 p, and 2 h when four letters picked without replacement from {h: 2, p: 2, d: 1, y: 1}? 2/15 Calculate prob of picking 2 s when two letters picked without replacement from {g: 13, s: 5}. 10/153 What is prob of picking 1 x, 1 c, and 1 p when three letters picked without replacement from xpppctllcplcplpppplc? 3/95 Calculate prob of picking 2 i when two letters picked without replacement from kkiikkkk. 1/28 What is prob of picking 1 h, 1 i, 1 b, and 1 z when four letters picked without replacement from izbqqihqbi? 1/35 Two letters picked without replacement from {b: 2, p: 2, g: 2}. What is prob of picking 1 p and 1 g? 4/15 Three letters picked without replacement from {c: 3, u: 2, k: 9, i: 3, e: 1}. Give prob of picking 1 k and 2 u. 3/272 Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {i: 2, k: 3, j: 7}. 7/33 What is prob of picking 2 b when two letters picked without replacement from qcqfffbbbfff? 1/22 What is prob of picking 2 c when two letters picked without replacement from pctpmttmtccmcp? 6/91 Four letters picked without replacement from efeyeppjayfafap. What is prob of picking 1 p, 1 f, 1 e, and 1 a? 27/455 Two letters picked without replacement from {e: 1, d: 2, c: 10, y: 1}. Give prob of picking 1 c and 1 e. 10/91 Four letters picked without replacement from jjjjjjxjjjxjjxjj. What is prob of picking 1 x and 3 j? 33/70 Three letters picked without replacement from {t: 4, f: 14}. What is prob of picking 3 t? 1/204 What is prob of picking 2 b and 1 y when three letters picked without replacement from {b: 2, y: 3}? 3/10 Calculate prob of picking 1 z and 2 m when three letters picked without replacement from {s: 2, t: 2, z: 3, m: 6, r: 2}. 9/91 What is prob of picking 1 y, 1 g, and 1 w when three letters picked without replacement from {g: 1, a: 1, n: 3, w: 3, y: 3}? 3/55 Calculate prob of picking 1 d and 2 j when three letters picked without replacement from {j: 6, w: 4, d: 1}. 1/11 Calculate prob of picking 1 w, 1 i, and 1 u when three letters picked without replacement from {l: 1, n: 1, i: 1, m: 1, u: 4, w: 4}. 4/55 Two letters picked without replacement from kgkkgksskkkgggkkg. What is prob of picking 2 k? 9/34 Two letters picked without replacement from qqlqj. Give prob of picking 1 q and 1 j. 3/10 Four letters picked without replacement from {l: 2, s: 3, r: 4}. What is prob of picking 1 r and 3 s? 2/63 Two letters picked without replacement from ffodhffhfhofffhf. What is prob of picking 1 h and 1 f? 3/10 What is prob of picking 2 p and 1 w when three letters picked without replacement from pppww? 3/5 Three letters picked without replacement from bbybyybybey. What is prob of picking 2 y and 1 b? 10/33 Four letters picked without replacement from {x: 1, n: 12}. Give prob of picking 4 n. 9/13 Calculate prob of picking 1 l and 1 p when two letters picked without replacement from lpkp. 1/3 Three letters picked without replacement from {c: 3, u: 8}. Give prob of picking 2 u and 1 c. 28/55 Calculate prob of picking 1 m and 1 p when two letters picked without replacement from ssttptstddtdddm. 1/105 Calculate prob of picking 2 x when two letters picked without replacement from {k: 2, n: 5, x: 9}. 3/10 What is prob of picking 1 i, 1 e, and 1 n when three letters picked without replacement from nqqvesqeieei? 2/55 Four letters picked without replacement from kiiikiikkiikkkkkikii. What is prob of picking 1 k and 3 i? 80/323 What is prob of picking 2 q, 1 t, and 1 v when four letters picked without replacement from {i: 2, q: 2, v: 7, t: 4, j: 2}? 1/85 Calculate prob of picking 1 x, 1 o, and 1 y when three letters picked without replacement from {x: 1, i:
{ "pile_set_name": "DM Mathematics" }
+ 10415. What is the closest to -0.1 in -907, j, 0? 0 Let g = -386.36 + 386.36. What is the closest to 16838 in g, 1, 0.5? 1 Let x be 624/(-14352) - (-98)/1196. Which is the nearest to 1? (a) x (b) 10 (c) -4 a Let o be 4/(-10)*(-10)/(-22). Let l = -1926 - -1926.2. Let q = 57 + -53. What is the nearest to q in o, 0.5, l? 0.5 Let l = -3016/207 + 330/23. Which is the nearest to -6/19? (a) l (b) 2 (c) -27 a Let m = 12/557 + 958/7241. Let t = 2.98 + 0.02. Which is the nearest to t? (a) m (b) 10 (c) -0.4 a Let v = 62.8 + -62. Let b = v + -30.8. Let y = -30.4 - b. What is the closest to 1/4 in 5, y, -1/4? -1/4 Let j = 1888 - 1888. Which is the nearest to j? (a) -0.5 (b) 5 (c) -0.02 (d) 2 c Let y(m) = -9*m**2 - 10*m - 7. Let g be y(0). Which is the closest to 1/2? (a) 10 (b) 5 (c) g (d) 1/2 d Let n = 83.7 - 198.7. Let u = 118 + n. Which is the nearest to 1/2? (a) -0.3 (b) u (c) -0.35 a Let l be (3/9)/((-9)/72*20). Let y = -1 + 0. Let i(s) = s**2 - 9*s + 17. Let q be i(5). Which is the nearest to q? (a) 5 (b) l (c) y c Let w = 15.46 + -18.2. Let t = w + 2.94. What is the closest to 1 in 0.3, 23/4, t? 0.3 Suppose -2*s - 2*q + 1 = -5*q, -13 = -4*s - 5*q. Suppose -2*t + 2 = r + t, -2*t = s*r. What is the closest to r in 0, 27, -1, -0.4? -1 Suppose -5*m + v = 115, 46*m + 3*v + 95 = 41*m. Let t be 34/6 + (-8)/12. What is the nearest to 2/3 in 1, t, m? 1 Let n = 98 - 97.9. Let q = -1/180 - 29/180. Which is the closest to n? (a) 3 (b) -0.5 (c) q c Let o = -15.4 + 17.4. Let p = 0.041 - -24.959. Let d = p - 23. Which is the closest to o? (a) d (b) -6 (c) -3/7 a Let y be (-55)/161 + 716/(-8234). What is the nearest to 1/2 in y, -2/11, 0.7? 0.7 Let c = -10954/7 + 1565. Let m = -0.48 + 2.48. What is the closest to c in -1, m, 0.5? 0.5 Let q be ((-96)/8704)/(6/116). Let z = q + 3/34. Let s = 0.08 + 4.92. What is the closest to -2/7 in z, -0.1, s? z Suppose 8*k + 15 = 3*k. Let u be (k/48*-4)/(-1). Let o = 4.5 - 4. Which is the closest to u? (a) -0.1 (b) 2/3 (c) o a Let n be (-4)/16*-74*6. Let f = n - 111. Which is the closest to f? (a) -4 (b) 0.5 (c) 0 (d) -0.1 c Let p = -82 + 82. Let o(w) = -w**2 - 21*w + 27. Let d be o(-22). What is the nearest to p in d, -0.3, 2/5? -0.3 Let n = 178.3 - 240. Let i = 62 + n. Which is the nearest to 2? (a) i (b) -4/9 (c) -8 a Let l = 11/907 + -167883/7256. What is the nearest to 1/3 in l, -4, -5? -4 Let s = -1.1402 + 1.1202. What is the closest to s in 5, -0.17, -0.2, 0? 0 Let p = -1798.8 + 1797.8. Which is the nearest to -0.2445? (a) -2 (b) 3/7 (c) p b Let v be (22 - 11 - 7)/(-18). Which is the nearest to 0.3? (a) v (b) 39/5 (c) 3 (d) -2 a Let n = 240 - 236.9. Let h = -14.1 + n. Which is the nearest to 1/2? (a) -5 (b) h (c) 0.1 c Let f = 195 - 188. Suppose -810 = f*d - 768. What is the nearest to -2/9 in d, 0.4, 1/4? 1/4 Let w = 4 - 2. Let t be w + (-7)/4 + 0. Let s = -323.4 + 326.4. What is the nearest to s in 0, t, 5? 5 Let h = -1082 - -1082.1. What is the closest to -1 in 2, h, 5/6, -26? h Let a = 1727 + -1727.5. What is the closest to a in 0.04, -3/7, 2/7? -3/7 Suppose 162 = 3*n + 51*n. Suppose 8*u - 5*u = -k + 70, -n*u - 52 = -k. What is the closest to k in -3, 4, 5? 5 Let h be 5 - -33*(-4)/44. Let k = 3/5 + -1/10. What is the closest to k in -0.2, 6/11, h? 6/11 Let v = 263.9903 + 1.0097. Which is the nearest to 1? (a) v (b) 1/7 (c) 4 b Let w(r) = r**2 + 4*r - 12. Let o be w(-6). Let j be 13/(-7) + (-828)/(-966). Which is the nearest to o? (a) -1/32 (b) j (c) -0.5 a Let j = -369.9788 - 0.0212. Let f = j - -375. What is the nearest to -2/7 in -4, f, 0, -8? 0 Suppose -2*f + 22 - 18 = 0. Which is the closest to f? (a) 2 (b) -12/7 (c) 2/7 a Let r = -233/1428 - 25/204. Which is the closest to -2? (a) r (b) 0.1 (c) -0.37 (d) 0.5 c Let l = 2909156/7 - 415594. Let q = 0 - 0.2. Which is the nearest to 1? (a) 97 (b) l (c) q c Let d = -21.71 + 27.8. Let l = -0.09 + d. Let k = 9 - l. Which is the nearest to 0? (a) k (b) -0.5 (c) -2/7 c Let y = 0.035 + 0.052. Let s = -0.587 + y. Which is the closest to 2/3? (a) s (b) 2/9 (c) -5 b Let y = 4850 - 4861. Which is the nearest to 1? (a) 4 (b) 0.3 (c) y (d) -8 b Let n = -2230 - -2228. What is the nearest to -0.1 in 5, 3, n? n Let d = 2.2 + -2.3. Let n = 35 + -39. Which is the closest to d? (a) 0.2 (b) n (c) -3 a Let g = 8.7 - 8.6. Let w = 99 - 99. What is the nearest to g in w, -5, -1? w Let i = 1.16582 + -0.86582. Let d = 3.03 - 0.03. What is the nearest to i in -1/2, d, 0? 0 Let r be -14 - (1 - 220/16). What is the closest to 1/4 in r, -57, 1, -5? 1 Let g = -1338/7 + 12112/63. What is the closest to 1 in 1, g, -0.1? 1 Let u = 6.897 + -0.197. Let g = 6.7 - u. Which is the nearest to g? (a) -3 (b) -5 (c) -1 c Let t = 8.6 - 160.6. Let l = t + 151.9. What is the closest to l in 1/3, -8, -2/11? -2/11 Let g be (-18)/12 - (-39)/26. Which is the nearest to g? (a) 0 (b) 5/6 (c) -9 a Let s = -0.042 + 2.042. Let g = -168.9 + 169. Which is the closest to s? (a) g (b) -4 (c) -2 a Let l = 136.22 - 136.02. What is the closest to 156 in -3, l, -5? l Let x = -1547 - -1481.1. Let z = x + 65.7. What is the nearest to z in -3/5, -2/11, 0.3, -5/3? -2/11 Let x = -463 - -491. Let u = 134.4 - 134. Which is the nearest to x? (a) u (b) 0.3 (c) 4/7 c Let y = 0.74 + 17.76. Let u = 56 + -74. Let q = u + y. Which is the nearest to 2/9? (a) q (b) 1/5 (c) -1 b Let i be (-1)/(3/8*1/(-6)). Let a be 1/1*i/48. What is the nearest to -0.1 in 3/2, a, 5? a Suppose -2*c = 3*t + 7, -3*t - 7 = 5*c - 6*t. Let g be 9/c*(-28)/(-21)*-1. What is the closest to -1 in 11, g, -1/10? -1/10 Let k = 179 + -105. Let x = -77 + k. Let u be 6/(-4)*(58/(-54) - -1). Which is the nearest to -6/13? (a) -4 (b) x (c) u c Let o(j) = 18*j**2 - 17*j - 15. Let q be o(-6). Suppose l - q = -4*l. Let h be 84/l - (-2)/(-3). What is the nearest to 2 in h, 2/7, -1? 2/7 Let o = -109/104 - -12/13. Let i = -5 - -6. Let q = i + 1. What is the nearest to -1 in q, o, 0? o Let f = -13007 + 13006.9. Let s = -14/13 + 348/299. Which is the nearest to f? (a) -3/2 (b) 41 (c) s (d) -0.4 c Let x = 1406 + -1403. Let y = -3/13 - -2/65. Suppose -5*k + 6 = 3*o - 0, 4*k = -4*o. Which is the nearest to k? (a) y (b) 2/13 (c) x c Let w = -7859 + 7855. What is the nearest to 0.0603 in w, 5/2, -0.4? -0.4 Let w be (-500)/(-625)*170/(-4) - -8. What is the nearest to 1 in 10, w, -0.3, 2? 2 Let y(o) = -454*o + 3180. Let p be y(7). Which is the closest to -0.1? (a) 3 (b) 4 (c) p (d) 5 c Let v = 14702 - 14703.9579. Let h = v + -0.0421. Which is the nearest to -1? (a) -1/2 (b) 0.3 (c) h (d) 4 a Let g = -0.4343 + 1.4343. Which is the nearest to -1? (a) g (b) 0.4 (c) -2/13 (d) -0.5 d Let l(a) = -a**2 - 39*a - 42. Let k be l(-38). Suppose -7*s - 5*q = -5*s - 29, 0 = 4*s - 5*q + 17. What is the nearest to 9/2 in k, 0, s, 1? s Let d = -1 + 2. Let v be (24/(-12))/((-4)/(-4)). Which is the nearest to v? (a) -0.1 (b) d (c) 0.5 a Let t = -1433 - -1435. Let y = 0.17 + 6.83. Let r = t - y. What is the nearest to -0.2 in r, 5, -19? r Let o = 871 - 7841/9. What is the nearest to o in 5, -25, -4, -2? -2 Let o = -0.06 + 0.06. Let j = 5572.7 + -5573. What is the nearest to o in j, 0.7, 1/8? 1/8 Let h = -276 - -279. Let g = -0.74 + 0.94. Which is the nearest to g? (a) -2 (b) h (c) -5 a Let d = 26606 + -26611. Let t = -0.1 + 1.1. Let j = 10 + -6. Which is the nearest to j? (a) t (b) -0.1 (c) d a Let h = 565 + -577. Let d = -16 - h. Which is the nearest to 4/11? (a) -1 (b) 2 (c) d a Let p = -416.0018 + 416. Let n = 0.0782 - p. Let o = 1.2 - 0.2. What is the closest to n in 0, -5, o? 0 Let a be -126 - 1*(-12)/(-9)*3. Let j = -129 - a. What is the closest to 2/3 in -47, -2/9, j? j Let l = -44599.1 - -44602. Which is the nearest to -1? (a) l (b) 2 (c) 3 (d) -8 b Let n = 45.8 - 46.3. What is the closest to 1/2 in -1/30, n, 2? -1/30 Let f be (16/18)/4 + (-872)/(-5040). Let b = 1/210 + f. What is the nearest to -1/29 in b, 2, 2/9? 2/9 Let k = 2205.5 + -2207.5. Which is the closest to k? (a) 7 (b) -1.3 (c) 5 b Let r = -17/24 - -3/8. Let x = -167 + 276. Let g = 111 - x. Which is the nearest to 0.1? (a) g (b) 0.4 (c) r b Let u = -2.1 - -2. Let v = -17778 + 17776. Which is the nearest
{ "pile_set_name": "DM Mathematics" }
*a**2. 37*a**2 - 2*a - 16 Collect the terms in 299*q**2 - 118*q + 118*q - 113*q**2. 186*q**2 Collect the terms in -856073145*k + 856073145*k + 2*k**3. 2*k**3 Collect the terms in 59 + 45*c - 32*c - 6*c - 6*c. c + 59 Collect the terms in -389*w + 1771*w - 456*w - 457*w - 461*w. 8*w Collect the terms in -2*s + 1289 - 659 - 657. -2*s - 27 Collect the terms in -199*f + 99*f - 15 + 102*f. 2*f - 15 Collect the terms in -1471 + 22*q**2 + 2952 - 1479. 22*q**2 + 2 Collect the terms in 14*k**2 - 24*k**2 - 24*k**2. -34*k**2 Collect the terms in -455*m**3 - 265*m**3 - 102*m**3. -822*m**3 Collect the terms in 5*x**3 - 4852609 + 4*x + 4852609 - 13*x. 5*x**3 - 9*x Collect the terms in -59*n**3 + 1044*n**2 - 1044*n**2. -59*n**3 Collect the terms in 79 + 3*i**3 + 0*i**3 + 0*i**3 - 4*i**3. -i**3 + 79 Collect the terms in 6568*q**2 - 3250*q**2 - 3279*q**2 + 2. 39*q**2 + 2 Collect the terms in 346*s**3 - 3 - 228*s**3 - 121*s**3 + 3. -3*s**3 Collect the terms in -294*s - 285*s - 289*s + 1440*s - 289*s - 286*s. -3*s Collect the terms in 5874 - 2*y + 5872 - 11746. -2*y Collect the terms in -23*w - 25*w - w**2 + 122*w + 1 + 167*w. -w**2 + 241*w + 1 Collect the terms in -277*o**3 + 156*o**3 + 122*o**3. o**3 Collect the terms in 1915*w**2 + 1830*w**2 - 3746*w**2 - 4*w + 10*w - 6*w. -w**2 Collect the terms in 394*k**2 - 1346*k**2 - 326*k**2. -1278*k**2 Collect the terms in 14*p**3 + 48210 - 96424 + 7*p**3 - 7*p**3 + 48214. 14*p**3 Collect the terms in -1 + 2481*k + 1 + 152*k. 2633*k Collect the terms in 219 + 24*x + 21*x - 65*x + 16*x. -4*x + 219 Collect the terms in 17 - 31 + 14 - 65*k**2. -65*k**2 Collect the terms in -154*b - 186*b + 228*b. -112*b Collect the terms in 6022 - 3012 + 4*s**2 - 3010. 4*s**2 Collect the terms in -251*l**2 - 220*l**2 + 724*l**2 - 222*l**2. 31*l**2 Collect the terms in -679*z - 11*z**2 + 679*z + 0 + 0. -11*z**2 Collect the terms in 156109*b + 168 - 168. 156109*b Collect the terms in -62772*p + 125622*p - 62852*p. -2*p Collect the terms in 6 + 46 + 5*r**2 - 14 + 3*r + 5*r**2. 10*r**2 + 3*r + 38 Collect the terms in -23*t + 50*t - 34*t + 25*t. 18*t Collect the terms in -983*j + 1980*j + 968*j. 1965*j Collect the terms in 115*q**2 - 6030 + 6030 - 11*q**2. 104*q**2 Collect the terms in -1085*n + 368*n + 339*n + 341*n. -37*n Collect the terms in 2*z**3 - 101 + 1965*z**2 - 1965*z**2 + 101. 2*z**3 Collect the terms in 5747 - 2896 - 2851 - 2*i**3. -2*i**3 Collect the terms in 34*g**2 - 507 + 30*g**2 - 17*g**2 + 507. 47*g**2 Collect the terms in 2*w - 2*w + 3038*w**2 - 3049*w**2. -11*w**2 Collect the terms in 2 - 2 + 214609*u - 214614*u. -5*u Collect the terms in -797*l**2 + 4*l**3 - 797*l**2 + 1594*l**2 + 7. 4*l**3 + 7 Collect the terms in 3*a + 0*a + a - 7*a. -3*a Collect the terms in -105*k**2 - 1066*k**3 - 112*k**2 + 217*k**2 - 1466*k**3. -2532*k**3 Collect the terms in 2919*j - 1136*j + 4546*j. 6329*j Collect the terms in 358*z + 346*z - 707*z. -3*z Collect the terms in -13*t - 18*t - 10 + 12 + 29*t - 2. -2*t Collect the terms in -92*x**2 + 0*x**3 - 5*x**2 - 5*x - 16*x**2 - 3*x**3. -3*x**3 - 113*x**2 - 5*x Collect the terms in 228*z**2 + 576*z**2 - 277*z**2. 527*z**2 Collect the terms in -2549 + 2549 - 5879*l - 2012*l. -7891*l Collect the terms in 7*s**2 + 1427315102 - 1427315102. 7*s**2 Collect the terms in -32 - 28*s - 48*s + 12*s + 0*s. -64*s - 32 Collect the terms in -6*z**2 + 38348*z - 5*z**3 - 38348*z. -5*z**3 - 6*z**2 Collect the terms in 20*t + 99 - 20*t + 74*t**3. 74*t**3 + 99 Collect the terms in 5476*h**3 + 5051*h**3 + 4304*h**3 - h - 358*h**3. 14473*h**3 - h Collect the terms in -40*h**3 + 43*h**3 - 44*h**3 + 51*h**3 - 7*h**2. 10*h**3 - 7*h**2 Collect the terms in 1 - k + 34*k**3 + k - 12*k**3 - 48*k**3. -26*k**3 + 1 Collect the terms in 3*x**3 - 2*x**3 + 875 - 3646. x**3 - 2771 Collect the terms in 2*w**3 + 24 + 196*w**2 - 58 - 102*w**2 - 94*w**2. 2*w**3 - 34 Collect the terms in -16*l - 126*l**3 + 22*l + 124*l**3. -2*l**3 + 6*l Collect the terms in -362*x - 14*x**3 - 9*x**3 + 31*x**3 - 7*x**3. x**3 - 362*x Collect the terms in 357*a - 239*a + 236*a + 310*a - 11. 664*a - 11 Collect the terms in -98*h**2 - 176*h**2 - 51*h**2 + 338*h**2. 13*h**2 Collect the terms in 1382*z - 711*z - 718*z. -47*z Collect the terms in 8*y**2 + 698641*y - y**2 - 698641*y. 7*y**2 Collect the terms in -21 - 5*o + o + 4*o - 9991*o**2 + 9984*o**2. -7*o**2 - 21 Collect the terms in 2597*h**2 + 800 - 800 + 2623*h**2 - 2062*h**2. 3158*h**2 Collect the terms in -27*v**2 - 29*v**2 - 20*v**2 + 87*v**2 - 14*v**2. -3*v**2 Collect the terms in 91318*l - 5*l**2 - 91109*l + 4*l**2. -l**2 + 209*l Collect the terms in 315*l**3 + 8*l**3 + 232*l**3 - 95*l**3. 460*l**3 Collect the terms in 47 - 2*h**2 + 163 + 119. -2*h**2 + 329 Collect the terms in -17*m**2 + 19*m**2 - 389*m**3 + 406*m**3. 17*m**3 + 2*m**2 Collect the terms in 27616*w**3 + 29 - 27613*w**3 - 2. 3*w**3 + 27 Collect the terms in 4*n + 17*n - 4 - 7 + 19 - 8. 21*n Collect the terms in -473*k + 124*k + 332*k. -17*k Collect the terms in 38 + 1842*q - 38 - q**3 - 1839*q. -q**3 + 3*q Collect the terms in 4 - 3*m**3 - 4 - 105*m - 662*m. -3*m**3 - 767*m Collect the terms in -10*v - 260*v**3 - 21*v + 31*v. -260*v**3 Collect the terms in -108166*j**3 + 54085*j**3 + 54088*j**3. 7*j**3 Collect the terms in 2529*a**2 - 70555*a**3 - 2529*a**2 + 70543*a**3. -12*a**3 Collect the terms in 100 - 9*f - 291 + 91 + 86. -9*f - 14 Collect the terms in 2 + 133*g**3 - 1 + 54*g**3. 187*g**3 + 1 Collect the terms in 694*d + 26 - 15 + 693*d - 1389*d. -2*d + 11 Collect the terms in -48411 - 5*h - 48411 - 48407 + 145229. -5*h Collect the terms in -35*c + 45*c - 278*c + 48*c. -220*c Collect the terms in -22 - 20 + 2190*b**3 + 42 - 2192*b**3. -2*b**3 Collect the terms in 5718*p - 2*p**2 - 2861*p - 2857*p + 3*p**2. p**2 Collect the terms in -3*q**2 - 9*q - 6*q - 10*q + 25*q. -3*q**2 Collect the terms in -i**3 + 5*i**3 - 12*i**2 + 5*i**2 + 18*i**2. 4*i**3 + 11*i**2 Collect the terms in -67*c + 143*c - 119*c**2 + 2 - 76*c. -119*c**2 + 2 Collect the terms in -26*l**2 + 104*l**2 - 28*l**2 - 27*l**2. 23*l**2 Collect the terms in -11*t + 3449 + t + 6*t - 3449 - t. -5*t Collect the terms in -2*o**2 + 161*o + o**2 + 4*o**2 + 6*o**2. 9*o**2 + 161*o Collect the terms in 7 - 74 - 4*c**2 + 45. -4*c**2 - 22 Collect the terms in 4 + 6 + 41 - 4 + 5 - 2*g. -2*g + 52 Collect the terms in 0*d + 257*d**3 - 161*d**3 + 0*d. 96*d**3 Collect the terms in -6505*x - 3 + 3. -6505*x Collect the terms in -112*d**2 - 157*d**2 + 271*d**2. 2*d**2 Collect the terms in 14*x + 692*x**2 + 426*x**2 + 35*x - 49*x. 1118*x**2 Collect the terms in -12*j + 24869 - 49741 + 24872. -12*j Collect the terms in 111*k - 59*k - 710*k**3 - 52*k. -710*k**3 Collect the terms in 67 - 6*a - 169 + 13*a + 102. 7*a Collect the terms in -6*i**2 - 5*i**2 + 27*i**2 + 24*i**2 - 51*i**2. -11*i**2 Collect the terms in -224 + 112 - 3*t + 43*t + 112. 40*t Collect the terms in -451*r - 452*r - 509*r - 452*r + 1863*r. -r Collect the terms in -155670476*j - 18*j**3 + 155670476*j. -18*j**3 Collect the terms in -6*s**2 - 16*s**2 + 21*s**2 + 64 - 64. -s**2 Collect the terms in 66*p + 72*p - 143*p - 16*p. -21*p Collect the terms in -109*m**2 - 116*m**2 - 119*m**2 - 114*m**2 - 93*m**2 + 542*m**2. -9*m**2 Collect the terms in 211*l + 1 - 745*l + 0 - 6. -534*l - 5 Collect the terms in -f**3 + f**2 - f**2 - 6039100945 + 6039100945. -f**3 Collect the terms in -19 - 33*s - 10*s**3 + 19 + 33*s. -10*s**3 Collect the terms in 28*k**3 - 40 - 33 + 9*k**3 + 73. 37*k**3 Collect the terms in -453*g**2 - 461*g**2 + 1373*g**2 - 449*g**2. 10*g**2 Collect the terms in -1345*s**2 - 968*s**2 - 2996*s**2 + 243*s**2 + s. -5066*s**2 + s Collect the terms in -10 + 2*j**2 + 18*j - 45*j - 5*j - 34*j + 10. 2*j**2 - 66*j Collect the terms in 8141*k**2 - 3 + 8141*k**2 + 3 - 16305*k**2. -23*k**2 Collect the terms in -k + k + 87965*k**2. 87965*k**2 Collect the terms in -1908*v**3 + 14725*v**3 + 6583*v**3. 19400*v**3 Collect the terms in -19*w**3 + 3*w**3 + 5*w**3 + 0*w**3 + 7*w**3. -4*w**3 Collect the terms in 68 - 39*r**3 - 68 - 2*r**2 - 149*r**3. -188*r**3 - 2*r**2 Collect the terms in -17*g + 224446 - 224446. -17*g Collect the terms in 294*s + 221 - 439 + 218. 294*s Collect the terms in 3*d + 0*d + 3*d - 4*d + 4*d. 6*d Collect the ter
{ "pile_set_name": "DM Mathematics" }
0 = -5*g + 5*z. Let s be 0 - (g + -1 + 0). Solve 5*n - 10 = 5*f, f + s = -4*n - 3 for n. -1 Let s be (3 - 24/5)*-10. Suppose -5*f - 2 = 28. Let r = s + f. Solve 4*u - 3 = 5*u + 2*t, -4*u - r = t for u. -3 Let h(c) = c**3 + c**2 - 26*c - 6. Let p be h(5). Let k be (-110)/(-70) + 6/p. Suppose -4*v + 10 = -38. Solve 4*b = -k*m - v, 2*m + 12 = -m for b. -1 Let p(v) = -v**2 - 178*v - 5315. Let y be p(-38). Solve 18 - 13 = -5*l - 5*q, y*q = l + 25 for l. -5 Let l(s) = -s**3 + 2*s**2 + 4*s - 5. Suppose 52 = -18*d - 8*d. Let f be l(d). Solve -f*k - 3*q + 8*q + 12 = 0, 2*q = 4*k - 2 for k. -1 Let n be 116/12 - 1/3*-1. Suppose -n*d = 14*d - 8*d. Solve a - 4*g + 9 = -2*g, 3*a + 4*g - 13 = d for a. -1 Let j be 36*((-8)/3 + 3). Solve -10*c - 22 = 4*s - j*c, -4*s - 4*c = 4 for s. -4 Let h = 22473 - 22473. Solve -a = -3*c + 16, -5*a - 20 = -3*c - h*c for c. 5 Let l(n) = -16*n + 168. Let o be l(8). Suppose -o*g = -53*g + 208. Suppose 2*t - 3 = 7. Solve t*r + 28 = -c - 3*c, -4*c - 2*r = g for c. -2 Let r(x) be the third derivative of -x**6/120 - 7*x**5/60 - 5*x**4/8 - 3*x**3/2 + 73*x**2. Let i be r(-4). Solve 5 = -i*a + 2*a, 5*a = -y - 29 for y. -4 Let h be (-6)/75 + (-2 - 760/(-125)). Solve -5*m + x - 25 = h*x, -5*x = 0 for m. -5 Let i(u) = -8*u**2 + 404*u + 208. Let h be i(51). Solve 2*x = -3*c + 1, 5*x = -6*c + h*c - 14 for x. -4 Suppose 0 = 10*r + 68 - 288. Suppose -5*a - 2 = -r. Let d = 15 - 13. Solve -2*h + 8 = -2*t, -a*h = d*t - 0*t - 22 for t. 1 Let n = -1899 + 1901. Solve 0 = -4*o + 4*r - 8 - 4, n*o + 10 = 4*r for o. -1 Suppose -4*d = -5*b - 9 + 31, 4 = 2*d. Let v(h) = 19*h + 14. Let z be v(-1). Let o be (-3)/15*(z - -5). Solve y - b = -s, o = y - 5*s + s + 19 for y. 1 Let c be (-320)/30*(5/4 + -2). Solve -3*w - 7*s + 6*s = -c, 0 = w + s - 2 for w. 3 Let u(r) = 5*r - 3. Let g be u(7). Let i(j) = -113*j + 1020. Let x be i(9). Solve -x*b + 2*l + 3*l + g = 0, 5*b + 2*l - 12 = 0 for b. 4 Let y(b) = 56*b - 1. Let i be y(1). Suppose -4*p = 7 - i. Suppose -54*q + 177 = 5*q. Solve -f = -q*d - 2, -2*f - 5*d + p = -3 for f. 5 Let t be ((-1)/(-3))/(-3 - (0 - (-370)/(-120))). Solve -t*d = 5*w - 0*d - 21, w - 6 = d for w. 5 Let c = -1 - 1. Let l be 62/c + (-8 - (-2 - 3)). Let m = l + 39. Solve -2 = -t + 4*r + 1, 0 = m*r + 5 for t. -1 Suppose j + 4*j - 20 = 0. Let s(c) = c**3 - 5*c**2 - 3*c + 19. Let v be s(5). Solve -5*a + j*a + 2*u - 3 = 0, 0 = a + 5*u - v for a. -1 Suppose 398*d = 387*d + 22. Suppose -5*c + 35 = -2*a, d*c + 5 = -0*a - 3*a. Solve g + 5*b - 6*b = -1, -4*b = c*g - 31 for g. 3 Suppose 27 = 4*r + 3*z, 5*r - 2*z - 2 = r. Solve i - r = 3*a, -9*a = -6*a for i. 3 Suppose -12 = -3*g, 5*f - 300*g + 303*g - 32 = 0. Solve 3*x - 7 = w, w - 1 = 3*x - f*w for x. 3 Suppose -l + 5*x - 15 = 0, -4 = -2*x + 4. Let t(m) = 37*m - 183. Let r be t(l). Solve -6*v + 3*v - 8 = 2*p, r*v = -4*p for p. 2 Let d(t) = -121*t**2 - 1330*t + 15. Let n be d(-11). Solve 2*i + 10*f - 6*f - 4 = 0, -2*f + n = 0 for i. -2 Let v be 52/((-48)/12) - -18. Solve 56 - 51 = -g - 3*y, -5*y = g + v for g. -5 Let v(a) = -a**3 + 62*a**2 + 4*a + 3719. Let h be v(63). Solve -h*n + 5*s = -1 - 8, 4*s + 6 = n for n. 2 Suppose -14*s - 345 = 383. Let q be 1 + (6/(-45) - s/(-60)). Solve -l + 3*d = l + 7, 4*l - 2*d - 6 = q for l. 4 Let d = -4854 + 4858. Solve -4*u - d*n + n = 1, 3*u - 8 = -4*n for u. -4 Let b = 5031 + -5024. Solve 0 = -2*q + 5*l - 19, -2*q - 3*q = l + b for q. -2 Let x(u) = -122. Let p(q) = -q - 61. Let g(y) = -5*p(y) + 2*x(y). Let v be g(-9). Solve 4*s + 5*i - 12 + 1 = 0, -5*s - 4*i = -v for s. 4 Suppose c - 4 = -c. Suppose -c*g + 5 = 1. Suppose -5*w + 16 = 3*j - 7*w, 2*j = -4*w. Solve -j*t - u + 6 + 9 = 0, g*t + 10 = -4*u for t. 5 Let w(v) = -5*v - 7. Let p be w(18). Let u = p + 97. Let n(l) = -l**3 - l + 5. Let g be n(u). Solve g = -d + y, 6*d + 25 = d + 2*y for d. -5 Let h = -513 + 205. Let g = -305 - h. Solve 0 = 3*q + 3*b + b + 9, g = -b for q. 1 Suppose -7*j - 2*b = -10*j + 106, -5*j + 165 = -b. Suppose 47*y - 30 = j*y. Solve -2*a - a + 5*k - 17 = 0, -y = -2*k for a. -4 Let y = -107 + 167. Let u be y/(5/((-45)/(-6))). Let k be 4/30 + 1608/u. Solve -p - 3*j = p + k, 3*p - 7 = 4*j for p. -3 Let y = 6164 + -6159. Solve d = -n - 3, 4*d = -y*n - 23 + 6 for n. -5 Let y(q) = q**3 - 11*q**2 - 10*q - 21. Let a be y(12). Suppose -56*f + 59*f = a. Solve 0 = -3*o + 4*k - f, 4*o = -o + 2*k + 17 for o. 5 Let n = -814 + -51. Let r = n - -875. Solve q - 5*f = -q + r, -3*q + 15 = -f for q. 5 Let i = 2 - 4. Let k be i/8 - 259/(-28). Let u(x) = -x**3 - 7*x**2 + 8*x + 5. Let a be u(-8). Solve 2*m = j - k, a*j + 0*m - 2*m = 29 for j. 5 Suppose -5*k + 2*o - 6*o = -25, 5*k - 5*o - 25 = 0. Solve 32*g - 30*g + 10 = h, -2*h + 25 = -k*g for h. 0 Let l(a) be the second derivative of a**4/3 - 121*a**3/6 + 16*a**2 + 7*a - 7. Let s be l(30). Solve -4 = -2*f + 5*c, 2*f - c + s = c for f. -3 Let w(k) = 5*k**2 + 7*k - 65. Let y be w(4). Let b be 4/(-14) - 208/7. Let f = y + b. Solve 0 = 3*u - p + f, u - 4*u - 5*p = 7 for u. -4 Let o(s) = 2*s**3 - 19*s**2 - 130*s + 59. Let a be o(14). Solve -8*n = -5*c - 4*n + 6, -4*n - 2 = -a*c for c. 2 Suppose -104*u + 201 = -111. Solve 2*y - 4*w = u*y, -2*w - 6 = -y for y. 4 Let u(z) = 12*z - 18. Let k(w) = -29*w + 35. Let t(m) = -2*k(m) - 5*u(m). Let f be t(8). Solve -4*a - 12 = -f*i - 0*i, -5*i - 2*a = -29 for i. 5 Let u be (((-16)/7)/4)/((-6)/147). Suppose -16 = 6*w - u*w. Solve -3*q + l + 35 = -3*l, 0 = w*l + 10 for q. 5 Let w = 16 + -11. Suppose 0 = 4*r + 3*c - 39, 45*r - 69 = 40*r + 3*c. Solve 4*t = 2*a + r, -5*a = -4*t + w + 1 for t. 4 Let o(m) = m**3 - 17*m**2 + 6*m + 3. Let v be o(0). Solve -k = v*s + 6, 4*s - 15 = -2*k - 21 for k. 3 Let p = 21967 + -21945. Solve 4*z = 2*h, -27*z + 15 = -p*z for h. 6 Suppose 0 = -t + 4*z - 1, -5 = -4*t - 5*z + 12. Suppose 3*r - t = 9. Solve j - 1 = 3*a, -9 = r*j - 5*a + 1 for j. -5 Let w(o) = 11*o + 74. Let f be w(-6). Solve -v = -3*j + f, -2*j + 13*v + 4 = 12*v for j. 4 Let f(i) = i + 0*i + 14 + 6 - 21. Let x be f(3). Let t = -6 - -12. Solve -2*d - x*u + 5 = 1, d + t = 3*u for d. 0 Suppose -f + 6*y + 12 = 8*y, -5*y + 24 = f. Suppose -5*g + 12 = -i + 2*i, -4*i = -f*g. Solve i*u - 6 = 2*l, 0 = 2*l - 5*u + 4*u + 1 for l. 2 Suppose -2 = q + 3*p + 6, 10 = -5*q - 5*p. Suppose 8 = 4*a + 12. Let l be 1 - (q + a - 2). Solve -2*w + l*n = -25, w + 3*n + 30 = 4*w for w. 5 Let i = 267 + -155. Let o = i - 109. Solve 0 = -5*b + c + 6 + 10, -o*c - 3 = 0 for b. 3 Suppose 0 = -2*g - 3*g. Let p(t) = t**3 - 5*t**2 - 7*t + 12. Let y be p(6). Suppose v + y - 8 = g. Solve -v*k - 4 = 0, -5*u + k - 3*k = 4 for u. 0 Suppose 3*a - 15 = -2*l, 0 = -2*a + 1 + 5. Suppose l*o = 2*t + 4*o, o = 4*t. Let m be (-2)/((-22)/6 - -3). Solve -m*u - f - 16 = 0, 5*u = -2*f - t - 27 for u. -5 Let t be (-24)/30*(765/(-18))/17. Solve -2*y - 16 + 0 = t*k, 15 = -5*y for k. -5 Let s(y) = 3*y + 10. Let i be s(-4). Let x be (-2)/i*(-2 - -7). Let k be (6/x)/((-26)/(-65)). Solve -6*o + o + 37 = 3*l, -23 = -k*o - 2*l for o. 5 Suppose -3*u = w - 30, -2*u + 31 - 5 = w. Solve 4*k + w = -2*x, 4*k + 19 = 4*x - 5 for x. 1 Let a = -5 - -5. Let f be ((-24)/10)/(4/(-15)). Let l be (-2)/15 + (-28)/(-210). Solve z - 2*p - 7 = a, -5*z - 4*p - f - 12 = l for z. -1 Let k = -10556 + 10570. Solve k = -3*s + 2*g, -s + 8*g = 4*g + 18 for s. -2 Suppose 11*g = 86 - 9. Suppose 2*r + 0 - 6 = 2*k, 5*k - 10 = 0. Suppose l + g = -r*v + v, v = -5*l + 22. Solve -2*j - 20 = 4*a, -3*a - 3*j = -4*j + l for a. -3 Let l(b) = 38*b**2 - 2*b + 32. Let z be l(5). Suppose 968*y = z*y. Solve y*w + w = 2*p + 2, -4*p = -w + 6 for p. -2 Suppose 0 = 15*j - 13 - 17. Suppose j*w + 4*l = -w + 9, -w = -5*l - 22. Solve -2*k - f = k - w, 0 = 4*k + 3*f - 16 for k. 1 Let k = 3698 - 3695. Solve 2*i = 4*q + 4, 2*i - k*q - 11 = -10 for i. -4 Let y = 94 - 94. Suppose y*g - 14 = -4*v - 2*g, -2*g - 18 = -4*v. Solve 27 = 4*k - 3*u, -2*k + 4*k + v*u + 14 = 0 for k. 3 Let o(r) = 4*r**2 + 67*r + 50. Let m be o(-16). Solve -5*t = 2*s - 33, -2*s - 3*s - m*t = -30 for s. 4 Suppose 0 = 3*n - 3*p - 24, -p - 24 = -n - 2*n. Let m be (-4)/8 + 116/n. Suppose -4*k + m*k - 30 = 0. Solve k*r + 5*d = r + 31, -5*r + 2*d = -5 for r. 3 Suppose -2*t - 5*l = -l + 28, 2*l + 32 = -4*t. Let z = -2 - t. Let u = 96 + -94. Solve 0 = z*x - n - 0 - 2, 4*x + u*n + 4 = 0 f
{ "pile_set_name": "DM Mathematics" }
**4 + 0*r + 2/7*r**5. 2*r**3*(r - 1)*(r + 1)/7 Let i = 1007/15 - 199/3. Factor -2/5*v**2 + 0 + i*v. -2*v*(v - 2)/5 Find y such that 4/5*y**5 - 1/5*y + 0 - 3/5*y**3 - y**4 + y**2 = 0. -1, 0, 1/4, 1 Suppose c = 2*c. Let t = c + 0. Factor 2*i**5 + 4*i**3 + 2 - 7*i**4 + 4*i**2 + t + i**4 - 6*i. 2*(i - 1)**4*(i + 1) Let o(f) be the first derivative of -4*f**5/5 - 3*f**4 + 4*f**3 - 3. Let k(x) = x**4 + 4*x**3 - 4*x**2. Let c(i) = -7*k(i) - 2*o(i). Solve c(v) = 0 for v. 0, 2 Find b such that -4*b**3 + b**3 - 5 + 5 - 3*b**2 = 0. -1, 0 Let p(l) be the second derivative of l**4/30 + 2*l**3/15 + 9*l. Solve p(f) = 0. -2, 0 Let w(l) be the first derivative of -3*l**4/20 - 2*l**3/5 + 5. Factor w(z). -3*z**2*(z + 2)/5 Let c(b) = b**3 - b**2 + 1. Let f(k) = k - 7. Let w be f(8). Let j be c(w). Factor -1/4*y**2 - j - y. -(y + 2)**2/4 Let w be 0 - (-2 + 4) - 0. Let k be (-4)/w - (-6)/18. Factor k*p + 3*p**3 + 1/3 + 5*p**2. (p + 1)*(3*p + 1)**2/3 Let l(a) = -3*a**4 - 54*a**3 - 102*a**2 - 96*a - 27. Let x(u) = 2*u**3 - u**2 - u - 1. Let i(o) = l(o) + 6*x(o). Factor i(z). -3*(z + 1)**3*(z + 11) Let g(b) be the second derivative of b**4/6 - 2*b**3 + 4*b**2 + 2*b. Let y(x) = -x**2 + 8*x - 5. Let q = 13 - 8. Let o(v) = q*g(v) + 8*y(v). Factor o(s). 2*s*(s + 2) Let p(z) = 25*z**3 - 40*z**2 + 64*z - 32. Let b(m) = 3*m**3 - 5*m**2 + 8*m - 4. Let v(l) = 51*b(l) - 6*p(l). Suppose v(r) = 0. What is r? 1, 2 Let i(a) be the first derivative of a**6/60 + a**5/30 - a**2 - 2. Let y(c) be the second derivative of i(c). Solve y(o) = 0 for o. -1, 0 Let x(s) be the first derivative of s**3 + 10. Factor x(y). 3*y**2 Let w = 4 + -2. Suppose -s**3 + w*s**2 - 2*s**2 - 2*s**5 - s**3 + 4*s**4 = 0. Calculate s. 0, 1 Let -2/3*r + 1 - 1/3*r**2 = 0. Calculate r. -3, 1 Suppose 3*b = -2*b. Let a(l) be the second derivative of -2/3*l**2 - 1/9*l**3 + 1/18*l**4 + b - l. What is x in a(x) = 0? -1, 2 Let z = 10 - 7. Factor -4*f**z - 8*f**3 + f**4 + 13*f**3. f**3*(f + 1) Determine w, given that -619*w**2 + 2*w**3 + 6*w + 2*w + 627*w**2 = 0. -2, 0 Let l(r) = r - 2. Let y be l(5). Let z(m) = -3*m**3 - m**2 - 5*m + 5. Let o(w) = 2*w**3 + w**2 + 4*w - 4. Let x(d) = y*z(d) + 4*o(d). Factor x(s). -(s - 1)**2*(s + 1) Let u(s) be the third derivative of -s**6/240 - s**5/30 - s**4/12 + 13*s**2. Factor u(y). -y*(y + 2)**2/2 Let u be ((-140)/(-168))/((-5)/(-4)). Factor -1/3*v**5 + 0 + 1/3*v + 2/3*v**2 - u*v**4 + 0*v**3. -v*(v - 1)*(v + 1)**3/3 Let m(y) = 2*y**5 - 7*y**3 + 5*y**2 + 5*y - 5. Let v(s) = s**5 - 4*s**3 + 3*s**2 + 3*s - 3. Let z(o) = 6*m(o) - 10*v(o). Factor z(a). 2*a**3*(a - 1)*(a + 1) Let a(w) = -2*w**3 + 5*w**2 - w - 2. Let s(g) = 5*g**3 - 11*g**2 + 2*g + 4. Let j(m) = 7*a(m) + 3*s(m). Suppose j(y) = 0. What is y? -2, -1, 1 Suppose 5*r + 15 = 8*r. Let y(s) be the first derivative of 1/12*s**6 + 0*s - 2/5*s**r + 3/4*s**4 - 2 - 2/3*s**3 + 1/4*s**2. What is m in y(m) = 0? 0, 1 Let v(c) be the third derivative of -c**10/6048 - c**9/5040 + c**8/3360 + c**4/24 + 2*c**2. Let u(p) be the second derivative of v(p). What is o in u(o) = 0? -1, 0, 2/5 Suppose 2*y = 1 - 11. Let p(w) = -6*w**3 - 3*w**2 + 6*w + 21. Let f(g) = 3*g**3 + g**2 - 3*g - 11. Let m(u) = y*p(u) - 9*f(u). Suppose m(c) = 0. Calculate c. -2, -1, 1 Let b(f) be the third derivative of f**6/780 + f**5/390 - f**4/156 - f**3/39 + 2*f**2. Let b(i) = 0. Calculate i. -1, 1 Find b, given that -4 - b**2 - 6*b**2 + 5*b**2 - 6*b = 0. -2, -1 Let m(w) be the first derivative of -4/5*w - 3/25*w**5 - 1/30*w**6 + 6 + 7/15*w**3 + 0*w**2 + 1/20*w**4. Let m(y) = 0. What is y? -2, -1, 1 Let c be 1/(2*(-3)/(-90)). Let q(r) = 3*r**4 + 12*r**3 + 15*r**2 - 15. Let l(j) = j**4 + 3*j**3 + 4*j**2 - 4. Let p(s) = c*l(s) - 4*q(s). Factor p(g). 3*g**3*(g - 1) Let o = 618033/10510 - 9/2102. Let q = o - 3214/55. Factor 0*g**3 + q*g + 0 + 2/11*g**4 - 6/11*g**2. 2*g*(g - 1)**2*(g + 2)/11 Let o(u) = 0*u**3 - 2*u**3 - 3*u - 3*u**2 + u + u**4 + 0*u. Let l(d) = -d**3 - d**2 - d. Let v(a) = -4*l(a) + 2*o(a). Solve v(g) = 0 for g. -1, 0, 1 Let u be ((-25)/(-24) + -1)*1. Let x(r) be the second derivative of 1/12*r**3 - 2*r - 1/2*r**2 + 0 + u*r**4. Determine i, given that x(i) = 0. -2, 1 Factor 3/5*u**3 + 12/5*u**2 + 6/5 + 3*u. 3*(u + 1)**2*(u + 2)/5 Let z = -1086 - -1091. Find f such that -f**z + 0 + 9/7*f**4 + 2/7*f - 9/7*f**2 + 5/7*f**3 = 0. -1, 0, 2/7, 1 Let n(o) = 10*o + 2. Let i be n(-2). Let m be i/(-3 - 3/(-2)). Factor -64*p**3 - 40*p**2 + 11*p**2 - m*p + 3 - 4 - 19*p**2. -(4*p + 1)**3 Let b(i) = -i**3 - 11*i**2 + 12*i + 3. Let y be b(-12). Let v(t) be the first derivative of -1 + 4/9*t**y + 0*t + 1/6*t**2. Factor v(d). d*(4*d + 1)/3 Solve -5*l + 46*l**4 + 0*l**5 + 1 + 9*l**5 - 6*l**4 - 5*l**2 + 7*l**5 + 25*l**3 = 0 for l. -1, 1/4 Let q(f) be the second derivative of -3*f**5/110 - 5*f**4/66 - f**3/33 + f**2/11 + 3*f. Suppose q(n) = 0. Calculate n. -1, 1/3 Let 125*p**3 - 34*p**2 + 159*p**2 + 46*p + 100*p**2 + 27 + 89*p = 0. What is p? -3/5 Let c = 340 - 1694/5. Factor 3/5 + 3/5*s**2 - c*s. 3*(s - 1)**2/5 Let 3*o + 3/2*o**2 - 12 = 0. Calculate o. -4, 2 Let n(k) = k**4 - 3*k**3 + 2*k - 2. Let u(x) = -6*x**4 + 21*x**3 - 15*x + 15. Let a(l) = 15*n(l) + 2*u(l). Solve a(s) = 0 for s. 0, 1 Solve 1/2*h**2 + 3*h + 0 = 0. -6, 0 Find s, given that -2/3*s**3 + 0*s + 8/3 - 2*s**2 = 0. -2, 1 Let k(n) be the first derivative of n**4/10 + 9. Factor k(v). 2*v**3/5 Let h(x) = 3*x**3 - 14*x**2 + 5*x + 5. Let k(v) = 3*v**3 - 15*v**2 + 6*v + 6. Let c(r) = 6*h(r) - 5*k(r). Determine n, given that c(n) = 0. 0, 3 Let v = 146 + -1018/7. Solve -2*d**4 + 0*d + v*d**2 - 10/7*d**3 + 0 = 0 for d. -1, 0, 2/7 Let n(m) be the first derivative of -2/5*m**3 - 3/10*m**2 + 0*m - 3/20*m**4 - 5. Factor n(s). -3*s*(s + 1)**2/5 Let o(g) be the second derivative of 0 - 1/4*g**5 + 0*g**3 + g + 5/42*g**7 + 1/6*g**4 - 1/15*g**6 + 0*g**2. Let o(s) = 0. What is s? -1, 0, 2/5, 1 Let m(n) be the second derivative of 15*n**5/4 - 5*n**4/4 - 8*n**3 - 6*n**2 - 12*n. Find w such that m(w) = 0. -2/5, 1 Let k = 3/233 - 4215/1631. Let t = -47/21 - k. Factor 0 + 1/3*o**2 + 0*o + t*o**4 + 2/3*o**3. o**2*(o + 1)**2/3 Let l(f) = 5*f**4 - 20*f**3 + 30*f**2 - 15*f + 10. Let r(v) = -5*v**4 + 20*v**3 - 30*v**2 + 14*v - 11. Let x(z) = 6*l(z) + 5*r(z). Factor x(y). 5*(y - 1)**4 Let r be (-12)/(-30) - 6/40. Factor 1/4*y**2 + 0 - r*y**4 + 0*y - 1/4*y**3 + 1/4*y**5. y**2*(y - 1)**2*(y + 1)/4 Suppose -9*i = -16*i + 84. Suppose -3*k = -14 + 2. Solve 0*m**2 - i*m**5 + 5*m**k - 1/2*m + 15/2*m**3 + 0 = 0 for m. -1/2, -1/3, 0, 1/4, 1 Let g(t) be the second derivative of 8/45*t**6 - 1/30*t**5 - 1/9*t**4 + 0*t**2 + 0 - t - 5/63*t**7 + 0*t**3. Factor g(y). -2*y**2*(y - 1)**2*(5*y + 2)/3 Factor 1/8*z + 0 - 1/8*z**3 + 0*z**2. -z*(z - 1)*(z + 1)/8 Factor 11*v**2 - 4*v**3 - 18*v**2 - 5*v**2 - 4 - 12*v. -4*(v + 1)**3 Let d = 47/252 - 5/36. Let f(l) be the second derivative of 0 - 1/10*l**5 + 1/45*l**6 - 1/18*l**4 + 0*l**3 + d*l**7 - 2*l + 0*l**2. Let f(m) = 0. Calculate m. -1, -1/3, 0, 1 Let t(l) = -3*l**2 + 15*l + 72. Let x be t(8). Factor -2*z + x - 5/2*z**3 + 1/2*z**4 + 4*z**2. z*(z - 2)**2*(z - 1)/2 Factor 1/2 + i + 1/2*i**2. (i + 1)**2/2 Let c(j) be the second derivative of 2*j + j**2 + 0 - 1/6*j**4 + 1/6*j**3 - 1/20*j**5. Factor c(s). -(s - 1)*(s + 1)*(s + 2) Suppose -18*v = -r - 22*v + 14, 4*r = 3*v - 1. Let n(w) be the first derivative of -r - 2/15*w**3 + 2/5*w + 1/5*w**4 - 2/5*w**2. Factor n(x). 2*(x - 1)*(x + 1)*(2*x - 1)/5 Let x(b) = -5*b**3 + 2*b**2 + 6*b. Let h(i) = -9*i**3 + 4*i**2 + 11*i. Let p(v) = -6*h(v) + 11*x(v). Let p(r) = 0. Calculate r. -2, 0 Let a(v) = v**2 - 59*v + 272. Let y be a(54). Factor -1/4*z**y - 3/4 - z. -(z + 1)*(z + 3)/4 Let o(q) = -q**3 + 4*q**2 - 4*q. Let t be o(2). Let f(x) be the first derivative of 4 - 2/3*x**3 + 0*x + t*x**2 + 1/2*x**4. Factor f(d). 2*d**2*(d - 1) Let q(i) be the first derivative of i**4/4 + i**3/3 - 27. Determine r so that q(r) = 0. -1, 0 Let a = 11 + -9. Suppose 18 = 4*w + a*n, -4*n - n - 7 = -3*w. Solve 2/7*f**5 + 2/7*f + 8/7*f**w + 12/7*f**3 + 8/7*f**2 + 0 = 0. -1, 0 Let -6*b**2 - 12*b**5 + 14*b**4 + 7*b**3 + 2 + 5*b**3 - 10*b**2 = 0. Calculate b. -1, -1/3, 1/2, 1 Suppose 4*n = 2*v - 24, -6 = n - 2. Let r = v - 2. Factor -f**2 + f**3 + 4*f**4 + f**2 - r*f**3. f**3*(4*f - 1) Let r(f) be the
{ "pile_set_name": "DM Mathematics" }
et k be ((-4)/(-10))/(2/20). Suppose 3*q = k*q. Suppose -5*m + q + 20 = 0. List the prime factors of m. 2 Let j(a) = 6*a**2 + 1. Let i be j(1). Let t(m) = -m**3 + 6*m**2 + 11*m - 10. List the prime factors of t(i). 2, 3 Suppose 2*m = -4*d - 22, m = -d - m - 7. Let o = -1 - 0. List the prime factors of (0 + 2)/(o/d). 2, 5 Suppose 0 = 2*a - 5*a. Let o = 4 - a. Suppose 0 = -o*d - 5*y + 20 + 5, -4*d + y = -19. List the prime factors of d. 5 Let w = 19 + -5. What are the prime factors of w? 2, 7 Suppose -5*f = -5*v - 95, -5*f + 90 = 2*v - 6*v. Suppose 3*z - f = 112. What are the prime factors of z? 2, 3, 7 Let h(o) be the first derivative of 1/2*o**4 + 2*o - 2/3*o**3 - 3/2*o**2 - 4. List the prime factors of h(2). 2 Let d = 4 - -3. Suppose -4*m + 135 = d. Suppose 2*x - m = -2*x. What are the prime factors of x? 2 Let q(u) = -u**3 + 5*u**2 - 2*u + 6. Let d be q(5). Let t = d - -4. What are the prime factors of (t/(-2))/2 - -4? 2 Let o = 6 - 16. Let q = -3 - o. What are the prime factors of q? 7 Let r = -19 + -2. Let m = 1 - r. Suppose 4*q - m = 54. List the prime factors of q. 19 Suppose 2 = f, 0 = -4*s + 2*s + 5*f + 540. What are the prime factors of s? 5, 11 Let s(g) = -g**3 + 5*g**2 - 2*g - 3. Let t be s(4). Suppose 0*c + 3*v + 28 = 2*c, 20 = t*v. List the prime factors of c. 2, 5 Suppose 55 = 4*j - 185. Suppose j = -0*s + 3*s. List the prime factors of s. 2, 5 Let f = 33 - 23. Suppose 5*s - f = -4*b, -s + 18 = -4*b + 8*b. Suppose 3*t + 4*x - 17 = -x, b*x + 37 = 3*t. List the prime factors of t. 3 Let t = -5 - -35. List the prime factors of t. 2, 3, 5 Let g be 66/10 + (-9)/15. Suppose -30 = 3*k - g. Let s = k - -13. What are the prime factors of s? 5 Suppose -5*s = 5*i - 4 - 31, 0 = -4*i + 5*s - 17. Suppose i*r + r - 61 = p, 5*r - 95 = -5*p. What are the prime factors of r? 2, 5 Let d = -6 + 16. List the prime factors of d. 2, 5 Suppose 0 = z - 3*z - 4*j + 32, 59 = 2*z - 5*j. What are the prime factors of z? 2, 11 Suppose 9 + 21 = 3*g. List the prime factors of g. 2, 5 Let c be (((-15)/3)/1)/(-1). Suppose -c*m = -68 - 102. List the prime factors of m. 2, 17 Let j = 34 + -16. List the prime factors of (-1 + 0)*-2 + j. 2, 5 Let h = -22 - -38. Suppose 0*c + c - 14 = 4*a, 3*a + h = c. Suppose -c = -5*k - 2. What are the prime factors of k? 2 Let w(r) = r**3 + 12*r**2 + 11*r + 3. Let m be w(-11). Suppose 0 = 2*v + 6*u - m*u - 53, -u + 47 = 2*v. List the prime factors of v. 2, 11 Let j(f) = f**2 - 5*f + 1. Let k be j(5). Suppose -2*p - 3*t = 3*p - 23, -1 = p + 2*t. Let q = p + k. What are the prime factors of q? 2 Let n(f) = -f**3 - f**2 - f - 1. Let m(c) = 6*c**3 - 3. Let l(y) = m(y) + 5*n(y). Let q be l(7). Suppose -4*i + q = i. List the prime factors of i. 11 Let g(o) = 3*o - 1. Let f be g(2). Suppose f - 65 = -5*b. List the prime factors of b. 2, 3 Let s(g) = -249*g**3 - 3*g**2 - g + 1. What are the prime factors of s(-1)? 2, 31 Suppose x + 2 = 0, 4*x - 1 + 9 = -2*y. Let t(k) = -5*k. Let w be t(-1). Suppose 2*n = -w*b - y*n + 66, 2*b + n = 27. List the prime factors of b. 2, 3 Let a = 452 - 248. What are the prime factors of a? 2, 3, 17 Suppose 4 = -3*g + 16. Suppose -a = 2, -g*t - 3*a + 48 = -a. What are the prime factors of t? 13 Let v = 182 + 15. What are the prime factors of v? 197 Let x(o) = o**3 + 9*o**2 - o - 12. Let n be x(-9). Let y(c) = -c + 1 + 4 - 4. What are the prime factors of y(n)? 2 Let l = -42 - -122. List the prime factors of l. 2, 5 Suppose 224 = 10*n - 996. List the prime factors of n. 2, 61 List the prime factors of 2/12 + (-6685)/(-30) + -2. 13, 17 Let l = 15 - 10. Let v be ((-12)/10)/(l/150). List the prime factors of 1*4*v/(-16). 3 List the prime factors of 39 - (4 + -1 + -3). 3, 13 Let a = 26 + -17. List the prime factors of a. 3 Let r(f) be the second derivative of 0 + f + 1/2*f**3 + 1/4*f**4 + 1/2*f**2. What are the prime factors of r(-2)? 7 Let j = -5 + 9. Suppose 0 = -5*d - x - 2 + 12, 3*x = 2*d - j. Suppose 2*q - 7*q + 43 = 3*s, -d*q = 2*s - 18. What are the prime factors of q? 2 Let x(b) = 141*b**2 + 3*b - 4. List the prime factors of x(1). 2, 5, 7 Let x(m) = m**3 - 5*m**2 + 2*m - 5. Suppose 5 = r - 0*r. Let b be x(r). Let v = b - -6. What are the prime factors of v? 11 Let n = -65 + 15. What are the prime factors of ((-180)/n)/((-6)/(-20))? 2, 3 Let r(f) = -f**3 - 10*f**2 - 13*f - 13. Let k be r(-10). Let y = -61 + k. List the prime factors of y. 2, 7 Let c(s) = -s**3 - 7*s**2 + 8*s - 6. What are the prime factors of c(-10)? 2, 107 Let w = 33 + -12. What are the prime factors of (-3 + w)/(6/8)? 2, 3 Suppose -2*j + 78 = 4*v - 56, 4*j - 298 = 2*v. What are the prime factors of j? 73 Let g(d) = 3 + 10*d + 6 - 7*d. What are the prime factors of g(16)? 3, 19 List the prime factors of 1*(12 + 4 + -1). 3, 5 Suppose w - 116 = 5*l, 5*l - 2*l + 549 = 4*w. What are the prime factors of w? 3, 47 Let d(l) = l**3 - 3*l**2 + 3*l. Let o be d(2). Suppose 0 - o = -2*t. Suppose -5*p - 4 = -2*c + t, 3*c - 24 = 2*p. What are the prime factors of c? 2, 5 Let o = -11 + 8. Let s be (0 - -5)*2/(-5). List the prime factors of 46/6 - s/o. 7 Suppose 0*z - 5*f = -5*z, 0 = -5*f + 10. Suppose -2*d + 6*d - 109 = -5*g, -2*g - 50 = -z*d. List the prime factors of d. 2, 13 Let w be 3/(-9) + (-68)/(-6). Suppose y + w = 2*y. What are the prime factors of -1 + y + (-5)/(-5)? 11 Let j(v) = 3*v**2 - 17*v + 20. Let b(y) = -y**2 + 6*y - 7. Let u(o) = 17*b(o) + 6*j(o). Suppose -1 + 13 = 4*t. What are the prime factors of u(t)? 2, 5 Let l(m) = 64*m**2 + 2*m + 3. Let c be l(3). List the prime factors of c/36 + (-6)/(-8). 17 Suppose -2*m - 23 - 1 = -2*w, -2*m - 17 = -w. Let h(r) = -r**2 + 11*r - 7. List the prime factors of h(w). 3, 7 Let g(f) = 5 + 0*f - 3 + 3*f. Let z(u) = -u - 1. Let h(v) = g(v) + 2*z(v). What are the prime factors of h(6)? 2, 3 List the prime factors of ((-13)/5)/((-4)/40). 2, 13 Let q be 20 + 1 + -7 + 4. Suppose 0 = 3*s - 2*f - 105, -4*s + 7*s + 2*f - 105 = 0. Let o = s - q. What are the prime factors of o? 17 Suppose -3*z + 118 = l, -3*l + 134 = 4*z - 30. What are the prime factors of z? 2, 19 What are the prime factors of ((-30)/25)/((-2)/10)? 2, 3 Suppose -i = i. Suppose 0*s + 2*s = 0. Suppose i = 4*u - s*u - 40. List the prime factors of u. 2, 5 Suppose -6*j + 3*j - o = -10, -5*o + 11 = 2*j. Suppose 11 = t - j. What are the prime factors of t? 2, 7 Suppose -3*y - 8 = y. List the prime factors of (2 - 18)/y - 1. 7 Let t = -2 + 1. Let a(o) = 6*o**2 + 2*o + 1. Let b be a(t). Suppose -2*c = -0*c - b*l - 24, 4*l + 20 = 2*c. What are the prime factors of c? 2 Let h(n) = n**2 + n + 1. Let s(y) = y. Let l be s(3). List the prime factors of h(l). 13 Suppose 4*i = -2*h + 34, 6 + 4 = 5*i. Let p = h + -8. List the prime factors of p. 5 Let x be ((-160)/(-3))/(4/12). Suppose 5*v - 350 = 5*a, -2*v + x = -2*a + 4*a. Suppose i - v = -4*i. List the prime factors of i. 3, 5 Suppose 0*z - 4*z = 0. Suppose x + 2*x + 15 = z. Let a(l) = -l + 7. What are the prime factors of a(x)? 2, 3 Suppose -23 + 79 = 2*r. List the prime factors of r. 2, 7 List the prime factors of (184/115)/(4/70). 2, 7 Suppose 10*f - 649 = 951. List the prime factors of f. 2, 5 Suppose 30 = 3*u - 21. Let a = u + -10. What are the prime factors of a? 7 Let h be 4 + (10/(-2) - -2). List the prime factors of 1 - (-11 - (-2 - h)). 3 Let a(i) = -i**3 + 4*i**2 - 5. Let d(p) = p + 1. Let n(u) = a(u) + 5*d(u). Let v = -153 - -157. List the prime factors of n(v). 2, 5 Suppose 192 + 3 = 5*g. Let t = -22 + g. What are the prime factors of t? 17 What are the prime factors of 8 + -11 - 1*-79? 2, 19 Let n(y) = 3*y + 16. What are the prime factors of n(9)? 43 Suppose -v + y = 3*v - 13, -25 = -5*v + 3*y. Let a(n) = 10*n - 3. What are the prime factors of a(v)? 17 Let l(o) = 7*o - 2. Let t be l(1). Suppose -4*g - 4*h - 7 = -43, -g + t = -h. List the prime factors of g. 7 Let u(f) = f**2 - 4*f + 2. Let d be u(5). Let x = -3 + d. Suppose -5*r = 4*c - 13 - 71, -r = -x*c - 12. List the prime factors of r. 2 Let w(p) = -2 + 5 + 4 + p. Let g be w(0). Suppose g = 3*m + 1. List the prime factors of m. 2 Let f = -20 + -4. Let t(m) = m**2 + 5. Let y be t(6). Let v = f + y. List the prime factors of v. 17 What are the prime factors of 9/((-36)/(-8))*28? 2, 7 Let x(l) = 12 - 11 - 11 - 6*l. What are the prime f
{ "pile_set_name": "DM Mathematics" }
c) -0.38 (d) -2/3 (e) 3 a Which is the second biggest value? (a) 490 (b) 2 (c) 19 c Which is the third smallest value? (a) 8 (b) 4/9 (c) 5.1 (d) -0.15 (e) -10/7 b What is the fourth smallest value in 0, -2/53, -0.5, 4, 10? 4 What is the second smallest value in 1.1, -12, 2/5, 0.05? 0.05 Which is the second smallest value? (a) -792 (b) -1/9 (c) -32 c Which is the smallest value? (a) -2/17 (b) -2/9 (c) 6/23 (d) 0.5 (e) 1/29 b What is the fifth smallest value in -0.03, -5, -1/2, 5, -16/37? 5 What is the fifth smallest value in -0.2, -0.4, -1/45156, 0.2, 0.4? 0.4 Which is the second smallest value? (a) 4 (b) 0.2 (c) -5 (d) 0.1 (e) 894 (f) 36 d Which is the fourth biggest value? (a) 2 (b) -1 (c) -20 (d) -104 d Which is the third smallest value? (a) 2 (b) 0 (c) -1/2939 a What is the second biggest value in 332, -1/4, -25, -0.2, -0.3, 4/7? 4/7 Which is the second biggest value? (a) 1/80 (b) -5 (c) -57.3 b Which is the third smallest value? (a) -0.6 (b) -4 (c) -2 (d) -464 (e) -0.3 c Which is the biggest value? (a) 0.248 (b) 5 (c) -4 (d) 0.3 (e) 0.5 b Which is the fifth smallest value? (a) -3 (b) 0.5 (c) -1/6 (d) -12/7 (e) 747 (f) -0.2 b Which is the sixth smallest value? (a) 0.4 (b) 1.5 (c) -13 (d) 0.5 (e) 0.3 (f) -5 b Which is the biggest value? (a) -0.04 (b) -0.11 (c) 0.3 (d) 0 (e) 37 e Which is the second smallest value? (a) -0.3 (b) -2/9 (c) 6.5 (d) 4 b Which is the sixth biggest value? (a) -3 (b) 4/7 (c) -4 (d) 0.06 (e) -690 (f) 0.2 e Which is the biggest value? (a) 2/11 (b) 0.33 (c) -6/17 b Which is the smallest value? (a) 75079 (b) -1.4 (c) -2/3 b Which is the third smallest value? (a) 1 (b) 533 (c) -2/3 b Which is the smallest value? (a) 3/7 (b) 1 (c) -4 (d) -0.019 c Which is the second biggest value? (a) -3.8 (b) -7 (c) 4 (d) 0.3 (e) 12 (f) -0.1 c What is the fifth smallest value in -2, 3, 17, -3, -2/15, 6? 6 What is the fourth smallest value in 0.1, -11/64, -2, -1/4? 0.1 Which is the third smallest value? (a) -23/9 (b) 2 (c) -3/2 (d) 3/4 d Which is the biggest value? (a) 16.22 (b) -1856 (c) -2 a What is the third smallest value in 176.43, -2, 2, 4? 4 What is the fourth biggest value in 4, 0, -1, 3/467, -2? -1 Which is the third smallest value? (a) -1/7 (b) -282 (c) -4 (d) 376 a What is the fourth biggest value in -1/36, -0.2, -19, 0? -19 Which is the second biggest value? (a) 0 (b) -2/39 (c) -49/2 (d) 6 a What is the third smallest value in -5, -24, -6, -0.15, 3/2, 4? -5 What is the third biggest value in 0.01, 3/5, 153? 0.01 What is the second smallest value in -4, -0.05, -0.4, -22/3, -51? -22/3 Which is the biggest value? (a) -870 (b) 1/50 (c) 0.04 c Which is the second biggest value? (a) 0 (b) -6/5 (c) 16 a Which is the smallest value? (a) 1036/3 (b) -26 (c) 3 b What is the second smallest value in 0, -2, -2/11, -97.5, -2/7, 2/5? -2 Which is the second smallest value? (a) -7 (b) -2/7 (c) 0.09 (d) 57 (e) 4 b What is the sixth smallest value in -1, 0.2, 1480.3, 2/25, 5/6, 1/3? 1480.3 Which is the biggest value? (a) -0.09 (b) -9/11 (c) 24 c Which is the third biggest value? (a) 2/59 (b) -0.2 (c) 3 (d) 13.6 a Which is the second smallest value? (a) -2/7 (b) 0.3 (c) 57 (d) -2/3 (e) -8 (f) 0 d Which is the fourth smallest value? (a) 4506 (b) -0.1 (c) -2.1 (d) 2 (e) 0.5 d Which is the biggest value? (a) 4 (b) -39 (c) 1124 (d) 0.03 c What is the fourth smallest value in 0.5, -0.3, 17676/43, 0.4? 17676/43 What is the sixth biggest value in -1/4, -0.5, -1, 2, -4, -1/8958? -4 Which is the third biggest value? (a) 0.164 (b) 3 (c) 5 (d) 0.4 d What is the biggest value in 0.2, 5, -4/15, -1/15? 5 What is the third smallest value in 1/14, 0.05, 2/7, -100? 1/14 What is the fifth smallest value in -12/17, -3/2, -2/5, 25, -2? 25 Which is the third biggest value? (a) -3/2 (b) -3 (c) -13 (d) 0.3 (e) -4 (f) 87 a What is the third smallest value in 2/259, 0.1, 29, 2? 2 What is the second smallest value in 1318, 5, 1, -4/3? 1 What is the smallest value in 1/5, 770, 7/19? 1/5 Which is the second smallest value? (a) -3 (b) -1042 (c) 5 (d) 1/4 (e) -1/3 (f) -3/7 a Which is the smallest value? (a) 3 (b) 82/19 (c) 2/11 (d) -2/7 d What is the fourth smallest value in 2/5, 5, -14, 0.1, -2/7, -7? 0.1 What is the smallest value in -1.14, 4, -0.2, 5, -0.4? -1.14 What is the second biggest value in -4, 0.1, -29, -0.1, -2? -0.1 What is the third smallest value in 10, -1/17, 33? 33 Which is the smallest value? (a) 3 (b) 0.3 (c) -5 (d) -3 (e) -2/7 (f) 66410 c Which is the fourth biggest value? (a) 0 (b) -0.3 (c) 4 (d) -3 (e) 3/10 (f) 2/5 a What is the fourth biggest value in -3, -3.1, -0.5, -18, -128? -18 What is the fourth biggest value in -4, 0.05, 2/19, 4/5, 2, -14? 0.05 What is the biggest value in -93, 0.1, -1/4, -156? 0.1 Which is the sixth biggest value? (a) 5 (b) 0 (c) -18/185 (d) 2/3 (e) 0.5 (f) 7 c Which is the fifth smallest value? (a) -2 (b) 5 (c) -4 (d) 70/29 (e) 4 (f) -0.4 e Which is the smallest value? (a) 6/13 (b) -3 (c) 5 (d) 2/7 (e) -12 e What is the second biggest value in -3, 3445/7, -3/4, -1? -3/4 What is the biggest value in 4, 22, 0.11, -2/5, -6/11? 22 What is the second smallest value in -2, -4, 3/47, -60? -4 What is the biggest value in 533, 4, -0.2, 4/9? 533 What is the fourth smallest value in 2.2, -3108, 1, -4? 2.2 Which is the second smallest value? (a) 19/7 (b) -27 (c) 2/3 (d) 2 (e) 2/7 (f) -3/2 f What is the biggest value in -0.001, 0, -4, 0.2, 207/5, -0.5? 207/5 Which is the second biggest value? (a) 9 (b) -13 (c) 1 (d) 0.15 c Which is the fifth smallest value? (a) -1/5 (b) 1.6746 (c) 4/7 (d) -4 (e) 5 e Which is the smallest value? (a) -5 (b) -2/3 (c) 1 (d) 129.9 (e) 1/4 (f) 0.6 a What is the second smallest value in 108, 3, 0.5, -47, -2/5? -2/5 What is the biggest value in 34/11, 1.652, 0.1, -5? 34/11 What is the second biggest value in -9, -2/3, 0.1, 0.5, -0.4, -5? 0.1 What is the fourth biggest value in -0.61, -38/537, 2/13, 2/3? -0.61 What is the second biggest value in -2, 0.22, 0.112, 17? 0.22 What is the third smallest value in -3.19, 1, -0.2, -3/4? -0.2 What is the fourth biggest value in 0.05, -23.7, -3.8, 4? -23.7 Which is the smallest value? (a) -1/6 (b) -2/33 (c) 2 a Which is the fourth biggest value? (a) 22 (b) 27 (c) -0.09 (d) -0.3 d Which is the second smallest value? (a) 3 (b) -1/20 (c) -12.4 b Which is the third biggest value? (a) -22.26 (b) -0.03 (c) 101 a What is the second smallest value in 2, 6.3, -0.4, -5/54? -5/54 What is the third smallest value in -1/12, -39, 8, 5? 5 What is the second biggest value in -1.1, 1/2, -4, -661? -1.1 What is the second biggest value in 1458/13, -4, -31? -4 Which is the fifth smallest value? (a) 0.04 (b) 1/3 (c) 1 (d) -2/21 (e) 4/57 c What is the second biggest value in -0.064, 2, 0? 0 Which is the smallest value? (a) -0.4 (b) 20 (c) 4 (d) -117 d What is the second biggest value in -3.406, 4, 3, 2/7? 3 What is the second smallest value in -0.2, 0.02672, -60? -0.2 What is the biggest value in -4, 16.8491, -0.2? 16.8491 What is the biggest value in -4/13, 0.9, -50, 4? 4 What is the fourth smallest value in -1, -3/7, 4/3, 0.5, -137/2, 6? 0.5 Which is the second smallest value? (a) -28 (b) -290 (c) -6 a What is the biggest value in -0.5, -3, -0.08, 187? 187 What is the smallest value in -0.5, 2.63, 196? -0.5 Which is the second biggest value? (a) 2/5 (b) 1/4 (c) 0 (d) -0.1 (e) -0.3 (f) 73 a Which is the second smallest value? (a) 3 (b) -0.01308 (c) 2 (d) 2/13 d What is the fourth smallest value in -1/7, -1, 2/23, 1, 2/15? 2/15 What is the second smallest value in 0.3, -2, 69095, -2.1? -2 Which is the second biggest value? (a) -0.04 (b) 0 (c) -0.037 (d) 30/181 b What is the third smallest value in 5, 1/6, 0.3, -341/3? 0.3 Which is the second biggest value? (a) -0.2 (b) 3/5 (c) -2 (d) 304.7 (e) 1.1 e What is the smallest value in -167, -2, 7239? -167 Which is the second smallest value? (a) 3 (b) -111 (c) -24 c Which is the biggest value? (a) -1807 (b) 0.5 (c) 0.13 (d) -5 b What is the second smallest value in -1/2, 15, 1052.6? 15 Which is
{ "pile_set_name": "DM Mathematics" }
t t = v - 388.92. What is the second biggest value in 0.06, 0, -4, t? 0.06 Let x = -111.4 + 111. Let i = 5.6 - 8.3. Let l = 3.1 + i. What is the fourth smallest value in 13, 3, x, l? 13 Let f(h) = 26*h + 75. Let i be f(-3). Let v = -0.1 + -0.1. What is the third smallest value in i, v, -5? v Let x = -0.46 + -1.54. Let l = 101.867 + 0.133. Let p = l + -102.1. Which is the second smallest value? (a) p (b) x (c) -2/13 c Let d = 1586 + -1586. Let h = -0.69 - -0.7. Let k = h + 0.99. What is the smallest value in k, -3/4, d? -3/4 Let g = -241/2 + 117. Let d = -9241/7 - -1320. What is the smallest value in g, 0.3, d? g Let i be (-2)/1 + (-96)/(-46). Suppose 4*m - 4*q + 699 + 113 = 0, m + 207 = 5*q. Let k = m - -1007/5. What is the second biggest value in k, i, -1? k Suppose -10*r - 12 = -2. Let w be 8/r*8/(-32)*2. Suppose 0 = -w*d + 5*o - 17, -4*d = -d + 2*o + 7. What is the fourth smallest value in 3, 4, -1.9, d? 4 Let t = 0.7497 - 0.5497. What is the fourth smallest value in -5, 0, -9/2, t, -1? 0 Let o be (-64)/(-4) + (-6)/(12/10). Suppose -o = 16*s - 5*s. What is the fourth smallest value in 3, s, -3, 0? 3 Suppose -5*m + 276 = -0*l + l, -4 = -4*l. Which is the biggest value? (a) 1/4 (b) 1/2 (c) m (d) 0.2 c Let s = 1306 - 1205. Which is the second biggest value? (a) -3 (b) s (c) -1 c Let y = -36/7 - -95/28. Let z = 242 - 244. Let h = y - z. Which is the fourth biggest value? (a) 4 (b) h (c) -9 (d) 0.1 c Let b = 17/4 + -81/20. Let x = -33.152 + 32.152. What is the second smallest value in -0.8, b, -2/17, x? -0.8 Let p = -15.9 - 56.1. Let d = -15 + p. Let k = d - -86.93. Which is the third smallest value? (a) -3 (b) -1/2 (c) k c Let k = -0.276 + 31.476. Let g = -0.2 + k. Let q = 31.8 - g. Which is the third biggest value? (a) 0 (b) -3/4 (c) q b Let x = 8678 - 8678.02. Which is the third biggest value? (a) -4 (b) -0.5 (c) x (d) -16 a Let k = 11560 - 11555. What is the third smallest value in k, 0, -11.6? k Let a be (-6)/(-4) - (0 + -1)/(-1). Let g be 6/20*(-10)/(-8). What is the third biggest value in g, a, 1.1? g Let k be (-10)/546 - (-52)/546. Suppose 4*r - 16 = -p, 5*p - 19 = -r + 4. Which is the third biggest value? (a) 2 (b) k (c) 4/7 (d) p c Let n = 68/7 - 10. Let p(u) = u**3 - 45*u**2 + 274*u - 279. Let w be p(38). Which is the smallest value? (a) 3/5 (b) w (c) n c Let v(l) = -l**2 - 38*l + 123. Let h be v(-41). Which is the biggest value? (a) h (b) -26 (c) -9 (d) -2 a Let f = -2796/11 + 254. Suppose 19*m = 21*m. Suppose -6*n - 8 + 92 = m. What is the second smallest value in f, 2/11, n? 2/11 Let m = 0.861 + -4.861. What is the second biggest value in 0.0501, 5, m? 0.0501 Let a be 1/((-19)/(-38)*40/2). What is the third biggest value in 18, a, -4/9, 0.4, 9? 0.4 Let h = 2.3 + -0.3. Let z be 46*7/42 + -10 + 2. Which is the second biggest value? (a) h (b) z (c) 1 c Let r = -1.034 - 3.966. What is the fourth biggest value in -2, r, 2, 0.2, -15? r Let u be ((-6)/(-8))/((-100)/16). Let l = u - -46/175. Let k = -12/35 + l. What is the biggest value in 0.03, k, -1? 0.03 Let h = -6.00787 + 0.00787. What is the biggest value in h, 3, 0.5, 1/48? 3 Suppose -3*g + 56 = -2*c, 8*g - 4 = 9*g + 5*c. Let r be (-2)/(-29)*g - (-30)/(-30). What is the third smallest value in r, 4, 2? 4 Let p = -3.05 - -14.1. Let l = p - 11. What is the smallest value in l, -0.5, 3? -0.5 Suppose 77*i = 71*i + 1200. Let x = 599/3 - i. Which is the biggest value? (a) 2 (b) x (c) -1 (d) 5 d Let u be (-17)/(3689/1488) - 6/(-1). Which is the fourth biggest value? (a) -1/11 (b) u (c) 0.4 (d) 2/15 (e) -8 b Suppose 5*q - 9 = -o, -2*o + 1 + 3 = 3*q. Let y = 7.5 + -1.5. Let z = -40165 - -40170. Which is the third smallest value? (a) y (b) z (c) q a Let v = -4169 + 4169.1. Which is the fourth smallest value? (a) -3 (b) -3/4 (c) -10 (d) v (e) 0 e Let i = -6179 + 6179.1. Which is the fourth smallest value? (a) 4 (b) 1/4 (c) i (d) -4 a Let h = 665 - 994. Let o = h + 332. Which is the third biggest value? (a) o (b) 1/2 (c) 1 (d) -0.13 b Let z be 10636/(-10)*(-4)/8. Let y = -530 + z. What is the third smallest value in 5, y, 3? 5 Suppose -4*p + 4 = -0*p. Let m = 2618 + -2620. Which is the third biggest value? (a) 1/4 (b) m (c) p b Suppose 0 = -5180*p + 5183*p - 15. Which is the fourth biggest value? (a) 3 (b) 2/101 (c) p (d) -4 d Suppose -21422*i = 4*o - 21424*i - 4, -3*o - 4*i + 47 = 0. Let l = 1.6 + 74.4. What is the third smallest value in -0.3, o, l? l Let p = -85632/7 + 12234. Which is the smallest value? (a) -3/7 (b) -0.14 (c) p a Suppose -w = -417*o + 418*o - 6, 0 = -3*w + 18. Which is the smallest value? (a) 0.2 (b) -24 (c) o (d) 2/5 (e) 1/3 b Let a = 73 - 2. Let s = 87 - a. What is the second biggest value in s, 2, -4? 2 Let g = -2.07 - -0.07. Let x be (20/(-16)*(-3)/30)/1. What is the second smallest value in g, x, 0.4, 5? x Let j = -0.0206 - 384.9794. Let n = j - -385.5. Let f = 0.25 + -0.3. What is the smallest value in 0.3, -3, n, f? -3 Let g = 2407.4 + -2407. What is the second biggest value in g, 0.01, 0, -6/13? 0.01 Let f = 28130 + -309436/11. What is the second smallest value in 37/4, -3, 2/3, f? f Let o = -1312 - -1312. Let q = 230.1 + -245. Which is the third smallest value? (a) o (b) 5 (c) 2/3 (d) q c Let m = -34119/2 + 17061. Which is the smallest value? (a) -0.2 (b) -24/11 (c) m (d) 0.1 (e) 3 b Let l = 127.9844 - 128. Let r = l + 7.0156. Which is the third biggest value? (a) -0.2 (b) 3 (c) r (d) 2/5 d Let r = -1.7222 + 0.1222. Let i be -7 - -1 - (-1 - 2). What is the third smallest value in i, r, 3/5? 3/5 Let g = 625/9 - 613/9. What is the third smallest value in -25, 6/11, 2/15, g? 6/11 Let g = 0.8 + -0.4. Let n = -1568/131 + 48870/4061. Let s = -3 - 0. What is the smallest value in g, -2, n, s? s Let g = -77731 - -77728. Let y = 0 - -3. Let s = -2.7 + y. Which is the third biggest value? (a) 1 (b) g (c) 4 (d) s d Let i = 23724.5 - 23724. Which is the fourth smallest value? (a) -4/9 (b) 3/11 (c) i (d) -6 (e) 0 b Let q = -6678.8 + 6679. What is the biggest value in 8, -16, -1, q? 8 Let l = 6317/15 + -421. What is the smallest value in -37.4, 0.5, l? -37.4 Let l(n) = -9*n - 7. Let b be l(-5). Let d be 0 - -2 - b/18. Let u = 11275 - 11280. What is the second smallest value in 0.3, u, d? d Let v = 1324.6 + -1315. Let o = -27 + 29. Which is the smallest value? (a) 1 (b) o (c) v a Let y = 230 - 925/4. Let l = -185.2 - -26.2. Let u = l - -158.6. Which is the third smallest value? (a) y (b) 1 (c) u b Let q = 2.38 - 0.38. Suppose 1462*m - 66 = 1455*m - 10. Which is the third smallest value? (a) -8 (b) m (c) q b Let t = 48/161 - 2/161. Let v(m) = m**3 - 5*m**2 + 7*m - 1. Let p be v(4). What is the third biggest value in p, t, 3? t Let b = 375 + -1877/5. Let f be (88/198)/(44/18). What is the third biggest value in 5/6, b, -5, f? b Let v = -6793 - -6797. What is the third biggest value in 38/51, v, 3? 38/51 Let u = 27213 + -27219. What is the second smallest value in -3, -0.186, u, -1? -3 Suppose -5*w = s + 482, 4*s - 2*s = 5*w - 994. Let t = s - -5410/11. Which is the third biggest value? (a) 5 (b) t (c) -61 c Let p = 3.7 - 4. Let a = 3.849 + -4.549. Let b = a - p. What is the third smallest value in b, -1/7, 1? 1 Let g = -14.3 - -92.9. Let q = g - 78. Let t = -0.4 - q. Which is the smallest value? (a) -8 (b) t (c) -0.1 a Let o = -8520 - -8510. Let l = -18 - -5. Let w = o - l. Which is the smallest value? (a) w (b) 1/2 (c) 0.05 (d) -2/21 d Let v = 401 + -406. Which is the third smallest value? (a) 23 (b) v (c) -11 (d) -2/11 d Let d = 175 + -368. Let i = d - -192.7. Which is the third biggest value? (a) 2/43 (b) i (c) 1/7 b Let h = -0.03 + 0.03. Suppose 46*p + 408 = 38*p. Let l be 8/(-12)*(9/p)/(-1). Which is the second biggest value? (a) h (b) -16 (c) l c Let v = 159.18 + -161. Let h = v + 1.32. What is the biggest value in -0.123, h, 1/2? 1/2 Let u = 1557 + -1560. What is the biggest value in u, 0.4, 9, 3/5, 0? 9 Let p = 3 - 6. Let m = 332 - 350. Let h be (2 - (-46)/m)/(5/(-6)). Which is the second biggest value? (a) h (b) -20 (c) p (d) -0.2 d Suppose 385 - 368 = 17*o. Which is the biggest value? (a) o (b) 20.26 (c) 4 b Let j = -0.299 - -0.157. L
{ "pile_set_name": "DM Mathematics" }
1098098 220966*-119 -26294954 What is the product of 18028049 and 0.4? 7211219.6 -3032422 times 8 -24259376 Product of -4 and 10371481. -41485924 What is 96566172 times 0.2? 19313234.4 Multiply -0.1 and -468278.8. 46827.88 Calculate -816648*-48. 39199104 0*-36946.4 0 7 * -9827311 -68791177 Work out -7016323 * 0.4. -2806529.2 Calculate -442277*-365. 161431105 What is -0.2268 times 0.3019? -0.06847092 Multiply -9.26911 and -0.18. 1.6684398 What is the product of 7271438 and 3? 21814314 What is -0.2 times -0.032604751? 0.0065209502 What is -30.533332 times 0? 0 Multiply 3218.458 and -8. -25747.664 Calculate 51602536.7*-0.3. -15480761.01 Work out -36512 * -0.06254. 2283.46048 Calculate -2694298.79*0.2. -538859.758 What is -0.1 times 1319163? -131916.3 Calculate 4259.8*0.075. 319.485 What is -1116 times 1.88108? -2099.28528 149.3 times -34772 -5191459.6 What is 2.785675 times 6? 16.71405 Product of 4 and 20976468. 83905872 Product of -196364001 and -0.5. 98182000.5 -8.8405 times -25 221.0125 156 * -2685.3 -418906.8 What is the product of -7.37 and -0.026935? 0.19851095 Calculate -9090.8*369. -3354505.2 Calculate 21151*-0.8529. -18039.6879 What is the product of 0.0070993 and -5? -0.0354965 What is -0.0510808 times -14? 0.7151312 What is 5975 times 0.13232? 790.612 Multiply 388 and 29750. 11543000 What is the product of 0.273962 and -79? -21.642998 Multiply 24535 and 0.0358. 878.353 124569173 times 0.3 37370751.9 Multiply -95 and 2693627. -255894565 What is -4028291.7 times 10? -40282917 Work out 6996 * -86.6. -605853.6 -16463*6822 -112310586 What is the product of 13 and -53047074? -689611962 What is the product of 12.53166 and 0.089? 1.11531774 Product of 28799 and -203. -5846197 -1356 * -13174 17863944 Calculate 0.6*-1206888. -724132.8 -88 * -0.27463 24.16744 -8.07 times 37.5039 -302.656473 0.0512*0.5174 0.02649088 Product of -7 and 0.092588. -0.648116 5572564.9 times 3 16717694.7 What is -0.3 times -957.594? 287.2782 Multiply -45.14161 and -5. 225.70805 Work out -5928 * -591. 3503448 What is the product of 701473 and -0.05? -35073.65 Multiply -15697490 and -4. 62789960 -901 times 46.59 -41977.59 -11676 times 1485 -17338860 376183354 * -0.4 -150473341.6 -10881.28 * 21 -228506.88 Work out 0.46 * 22084.6. 10158.916 -3 * 5489257 -16467771 Multiply -1234666 and -0.5. 617333 21370 * -30768 -657512160 7060866 * 6 42365196 What is -49.8 times -15547.75? 774277.95 0.5876*-323 -189.7948 Calculate -288175207*-0.3. 86452562.1 Product of 3328 and 727.5. 2421120 -0.16*-3.095383 0.49526128 0.1872191*0.26 0.048676966 -180*-165190 29734200 Work out 244235.96 * -12. -2930831.52 Calculate -188.4*-158384. 29839545.6 Multiply -0.411 and -728219. 299298.009 What is the product of 0.1 and 9312921? 931292.1 What is the product of 13317058 and -0.05? -665852.9 Work out 705989751 * -3. -2117969253 Work out -8217520 * 8. -65740160 What is 3 times -49176.461? -147529.383 Multiply -8695.2 and -64. 556492.8 Calculate -59*1337.23. -78896.57 9 * -573.23 -5159.07 Product of 53112 and 693. 36806616 Work out -2467 * -2.281. 5627.227 Product of 100 and -12164. -1216400 11.338751*-108 -1224.585108 2018857*-0.1 -201885.7 Calculate 243497522*3. 730492566 Product of 454.8 and 14.11. 6417.228 278.639*3 835.917 Work out 203 * 68158. 13836074 1.33 * 8107 10782.31 -152044345 times -0.3 45613303.5 3969843 * -0.04 -158793.72 17 * -0.133412 -2.268004 Work out 377 * -80766. -30448782 Product of -86238459 and -3. 258715377 Multiply 52767059 and 3. 158301177 Calculate -14*0.2115162. -2.9612268 -230 times 8580 -1973400 2580498*0.6 1548298.8 Product of 402233 and 154. 61943882 What is 970.73861 times 3? 2912.21583 Multiply -0.65061768 and 0.2. -0.130123536 -42032*8299 -348823568 Product of 0.1 and -13898436. -1389843.6 957*1.204 1152.228 Work out 4.4715 * 0.0477. 0.21329055 What is the product of 4 and 0.77636? 3.10544 What is -3 times -119006500? 357019500 0.4 times 876.49237 350.596948 -0.2546 times 816 -207.7536 -153761.18*-0.4 61504.472 Product of 9956369 and 0.2. 1991273.8 Work out 45578 * -1107. -50454846 What is 2 times -24775.92? -49551.84 Multiply -141619 and -5.2. 736418.8 Multiply 0.5 and 236.443. 118.2215 What is the product of -1672.920238 and -3? 5018.760714 Work out 0.0852 * -3.5214. -0.30002328 Work out 0.0764132 * -62. -4.7376184 What is -0.5 times 5362970? -2681485 Calculate -7*-162.428. 1136.996 Work out -59784721 * 3. -179354163 What is -56.0003 times -0.114? 6.3840342 Calculate -632*152.62. -96455.84 What is 15.61 times -13142? -205146.62 12494.68 times -0.3 -3748.404 0.26784 * -1219 -326.49696 Calculate 113299*-1.15. -130293.85 What is -18.146 times -32085? 582214.41 -0.3 * 1.1713017 -0.35139051 Work out 47827981 * 0. 0 0.0416 * 1.6327 0.06792032 Calculate -1248*2.532. -3159.936 -0.036 times -262.0761 9.4347396 -377770815 times 0 0 -0.1 times -20259488 2025948.8 -6*105.7753 -634.6518 25992 * -2471 -64226232 -2625839*0.018 -47265.102 What is -4314 times 260698? -1124651172 What is 5563.87 times 231? 1285253.97 Work out -622 * -237040. 147438880 0.26488 * 0.266 0.07045808 What is -1.602 times 8513? -13637.826 What is -480 times -9.9541? 4777.968 What is the product of 158 and -42189? -6665862 Work out -53526530 * 0.5. -26763265 Work out -169.9523 * 15. -2549.2845 0*44.4847 0 -339298420*-0.5 169649210 Work out -1 * -615867.7. 615867.7 Product of -211.9 and -32274. 6838860.6 Work out -21 * 340769. -7156149 Calculate -38588501*2. -77177002 Work out 900954236 * -0.5. -450477118 Calculate -238000*2573. -612374000 0.00906 times 9936 90.02016 Product of -7.5 and -2.42652. 18.1989 35.594614 times -3 -106.783842 -49274 * 45.5 -2241967 What is -1 times 10128186.1? -10128186.1 Product of -914 and -5.0433. 4609.5762 What is the product of -394732861 and 2? -789465722 Calculate -57*-2.05509. 117.14013 What is the product of 3365 and 9.4711? 31870.2515 What is 5.9791 times -35.8? -214.05178 Multiply -1517340 and -219. 332297460 What is 1275 times 127822? 162973050 Product of -2 and 2794791. -5589582 0 * 2960825 0 What is the product of -3 and 0.295949? -0.887847 365*-108102 -39457230 What is the product of 7 and -5013348? -35093436 Product of -0.0755627 and 19.7. -1.48858519 14.918 * -160 -2386.88 What is the product of -201 and -30485? 6127485 Work out 77.7 * 219733. 17073254.1 3565 times -3763 -13415095 Calculate -0.4*466895.1. -186758.04 -10.75027 * 596 -6407.16092 Product of 1535.135606 and 0.1. 153.5135606 What is the product of 117 and -3428759? -401164803 -6645 * -12811.5 85132417.5 -2048863 * -0.27 553193.01 Product of -33187 and 3.992. -132482.504 34851.285 times -3 -104553.855 -37620 times -53.7 2020194 69 times 74749 5157681 Multiply -276 and 42494. -11728344 -0.04313*-260.2 11.222426 22.283 times 0.0381 0.8489823 Product of -7250 and 618. -4480500 Calculate -9*-127974. 1151766 394*0.29553 116.43882 Multiply -0.319 and -35417. 11298.023 Work out -527 * -3.39753. 1790.49831 What is the product of 4624639 and -0.4? -1849855.6 Multiply -0.29 and 22.56384. -6.5435136 0.18 times 3126312 562736.16 Product of -146 and 21.085. -3078.41 Calculate 1254809*-54. -67759686 What is 0.18 times 127169? 22890.42 What is the product of 3.5 and 261820? 916370 What is the product of -5419253 and 2? -10838506 48.4757 * 0.036 1.7451252 What is -3 times 37550387? -112651161 0.3 times 3500538 1050161.4 Work out -0.04 * -5295092.8. 211803.712 Product of -0.3133 and -3750. 1174.875 Multiply 2.23 and 106.1429. 236.698667 Work out 11.2 * -35247. -394766.4 11608865*0.1 1160886.5 What is -236024260 times 3? -708072780 Multiply 0.1907 and -311681. -59437.5667 -16.9875276 times -0.1 1.69875276 What is -4599 times 49535? -227811465 Calculate -15.395*3.777. -58.146915 What is 2390 times 0.291? 695.49 Product of -513 and 20614. -10574982 Multiply -2.76564 and 0.41. -1.1339124 Multiply -24.2 and -27026. 654029.2 Multiply 552 and 0.46275. 255.438 Multiply -25707156.1 and -2. 51414312.2 What is the product of 0.200974658 and 3? 0.602923974 1.971 * 11105 21887.955 1.3 times -1.99321 -2.591173 What is the product of 1590080 and -0.9? -1431072 -7.45095 * 3 -22.35285 -40.23*-4905 197328.15 -8674*-16467 142834758 Multiply -0.3 and 7.079369. -2.1238107 What is -0.4 times 12.4367? -4.97468 What is 3.46235909 times -0.2
{ "pile_set_name": "DM Mathematics" }
*3*q + 11202622*c**2*q**3 wrt c. 730644*q**3 + 624*q Find the third derivative of -12765061*x**4 - 75859305*x**2. -306361464*x Find the second derivative of 76629*a*y**3 - 6*a*y**2 + 6*a*y + 28*a - 9*y**3 - 2245*y - 1 wrt y. 459774*a*y - 12*a - 54*y Find the second derivative of -6*d**2*s**3 - d**2*s**2 - 16131198*d**2 - 3520*d*s**3 + 537*s**2 + 6*s + 2 wrt d. -12*s**3 - 2*s**2 - 32262396 Find the second derivative of 76*g**5 + g**4 - 1812*g**2 + 5790880*g wrt g. 1520*g**3 + 12*g**2 - 3624 What is the third derivative of 329*l**3*w**2 - 161164*l**3 + 11*l**2*w**2 - 10195*l**2*w - 2*l**2 - 15*l + 2*w**2 wrt l? 1974*w**2 - 966984 Find the third derivative of 497998814*n**3 + 2*n**2 + 2018233*n + 90 wrt n. 2987992884 What is the third derivative of -2925444*q**4 + 29*q**2 + 20983*q wrt q? -70210656*q Find the third derivative of 1061461570*w**3 - 1067362331*w**2 wrt w. 6368769420 What is the first derivative of 550907998*f**2 - 49072062 wrt f? 1101815996*f What is the third derivative of -259938*a*d**3 + 2*a*d**2 - 431*a*d + 19*d**4 - 3315*d**2 - d wrt d? -1559628*a + 456*d What is the third derivative of 664923*g**3 - 117*g**2 - g - 21212? 3989538 Find the first derivative of -8*u**2 - 30994921*u - 269018272. -16*u - 30994921 Find the second derivative of 5*g**5*m - 1558614*g**2*m - 38738*g*m - 1426*m wrt g. 100*g**3*m - 3117228*m What is the derivative of 59507513*m**4 - 120639223 wrt m? 238030052*m**3 What is the third derivative of 1210866*g**6 + 3*g**4 - 4*g**3 + 8*g**2 - g + 10487779 wrt g? 145303920*g**3 + 72*g - 24 Find the second derivative of -1308370*c**2*d**3 + 1431724*c*d**3 wrt c. -2616740*d**3 What is the second derivative of -69*n**2*q**3 - 2*n**2*q - 6911*n**2 - 3*n*q**2 - 10707*n + 8*q**3 wrt n? -138*q**3 - 4*q - 13822 What is the first derivative of -957*j**2*y - 10581*j**2 - 3*j*y + 116*j - 10*y wrt y? -957*j**2 - 3*j - 10 What is the second derivative of -680*s**2*z**2 + 10052*s**2 - 29*s*z**2 + 101531*s + 2*z wrt s? -1360*z**2 + 20104 What is the third derivative of 17*w**4 + 81212*w**3 - 344470*w**2 + 62*w wrt w? 408*w + 487272 Find the second derivative of 83298479*s**2*z**2 - 2*s**2*z + 7*s**2 - 341535*s*z - 4*z wrt z. 166596958*s**2 Differentiate -6752424*d**3*m + d**3 + 9176439*m with respect to d. -20257272*d**2*m + 3*d**2 Find the third derivative of -835468875*u**6 + 157524417*u**2. -100256265000*u**3 What is the second derivative of -2938514*k**3 + 1760*k - 2545 wrt k? -17631084*k What is the third derivative of 21*k**5 - 87*k**4 - 3560*k**3 + 245595686*k**2 wrt k? 1260*k**2 - 2088*k - 21360 What is the second derivative of -2*b**2*c**2 - 53*b**2*c - 15293*b**2 + 3446*b*c**2 - 10*c**2 wrt c? -4*b**2 + 6892*b - 20 Find the third derivative of 41499609*m*o*x**3 + 4624507*m*x**2 + 6*o wrt x. 248997654*m*o What is the derivative of 60035*j**2*m**2 + 3549*j**2*w**2 + 825*m**2*w**2 + 454492*w**2 wrt j? 120070*j*m**2 + 7098*j*w**2 What is the third derivative of 55048025*u**3 + 1360468*u**2 + 16*u? 330288150 Differentiate 187*q**4 + 750540*q**2 - q - 104088885 with respect to q. 748*q**3 + 1501080*q - 1 Find the third derivative of -161392776*x**5 - 976*x**2 + 301 wrt x. -9683566560*x**2 Find the second derivative of 40986*g**3 + 1302*g**2 - 35563*g + 33. 245916*g + 2604 Differentiate 7880345*p - 1053672 with respect to p. 7880345 What is the second derivative of -n**3 - 327516*n**2 - 136536*n - 25 wrt n? -6*n - 655032 What is the third derivative of 2709030*m**4 - 6*m**3 + 9*m**2 + 81*m - 2603 wrt m? 65016720*m - 36 Find the first derivative of -17331529*f - 13124161 wrt f. -17331529 What is the second derivative of -7*t**3 + 204110*t**2*u + 2*t*u - 4929815*t wrt t? -42*t + 408220*u Find the second derivative of o*p**2 + 24*o*p + 17225*o - 937720*p**3 + 2*p**2 wrt p. 2*o - 5626320*p + 4 Find the second derivative of -8*g**2*w*y - 6*g**2*w + 31651*g**2*y + g**2 - g*w*y + 2*g*w + 22*g*y - 9*w + 27*y - 1 wrt g. -16*w*y - 12*w + 63302*y + 2 Find the third derivative of 736*k**3*v**3 + 5*k**3*v**2 - 2*k**3 + k**2*v**3 + 684*k*v**3 - 64942*v**2 wrt v. 4416*k**3 + 6*k**2 + 4104*k What is the third derivative of -109965775*n**4 + 1268621597*n**2 wrt n? -2639178600*n Differentiate 63833673*i + 63284021. 63833673 Differentiate 3*u**2 + 38943852*u + 28343408 with respect to u. 6*u + 38943852 Find the second derivative of -122016*o**3*q**2 + 3238*o**3 - 2656*o*q + 70*q**3 wrt q. -244032*o**3 + 420*q What is the third derivative of 248462269*f**4 - 334054666*f**2? 5963094456*f What is the second derivative of 166*i**5*n**3 + 250*i**2*n**3 + 28*i**2 - 251*i*n**3 + 3*i*n**2 - 2*n**3 + 147*n**2 wrt i? 3320*i**3*n**3 + 500*n**3 + 56 Find the third derivative of -48233220*a**4 + 2*a**2 - a - 2223820. -1157597280*a Find the second derivative of -6919*w**4 + 4835*w**2 + 6823233*w wrt w. -83028*w**2 + 9670 Find the third derivative of -564*b**5*i - 106454*b**3*i + 2*b**3 + 3827462*b**2*i - 26*i wrt b. -33840*b**2*i - 638724*i + 12 What is the second derivative of 328521*s**5 - 42*s**3 - 2*s**2 + 14870670*s? 6570420*s**3 - 252*s - 4 What is the third derivative of -27935981*l**4 + 36*l**2 + 3*l - 41255 wrt l? -670463544*l What is the third derivative of -21540*c**3*v**2 + 2*c**3*v + 283*c**3 + 14*c**2*v**2 - 1370*c*v**2 - c*v + 28*v**2 wrt c? -129240*v**2 + 12*v + 1698 Differentiate 1088*s**3 - 12963*s - 2851959. 3264*s**2 - 12963 Find the third derivative of 25715775*w**3 + 1538379*w**2 + 2*w + 2. 154294650 Differentiate -25386*k**4*n + 75*k*n + 15301205*n with respect to k. -101544*k**3*n + 75*n Find the first derivative of -16937989*o + 987616. -16937989 What is the second derivative of -95544*f**3 + 3475*f**2 + 380023*f - 189? -573264*f + 6950 Differentiate 185*g**2*t - 219989617*g**2 - 172*g*t**2 + 1378*t**2 wrt t. 185*g**2 - 344*g*t + 2756*t Differentiate 2*c**2 + 208617*c*l - 3*c - 103254577*l wrt c. 4*c + 208617*l - 3 What is the second derivative of 15*d**3*w**2 + 11*d**3 - 2184*d**2 - 2*d*w**2 - 163*d*w - 11*w**2 - 1396 wrt d? 90*d*w**2 + 66*d - 4368 Find the second derivative of 743064054*w**4 - 834727299*w wrt w. 8916768648*w**2 What is the second derivative of -1333322516*r**4 - 1432440667*r? -15999870192*r**2 Find the third derivative of -3871722*p**5 - 3*p**2 - 293*p + 292 wrt p. -232303320*p**2 Find the first derivative of -3*t**2 + 541392*t + 11840079. -6*t + 541392 Differentiate 19*p**2 + 1545837*p - 87036937 wrt p. 38*p + 1545837 Find the second derivative of -3*i**2*l + 2275309*i**2*x**3 - i*l*x**3 + i*l*x**2 - 7*i*x**2 + 179*l*x + 4*x wrt i. -6*l + 4550618*x**3 Find the third derivative of -21894759*c**2*l**3 + 363*c**2*l**2 + 82138*c**2*l - 2*l**3 wrt l. -131368554*c**2 - 12 Find the first derivative of 46709*x**2 + 190*x - 34371803 wrt x. 93418*x + 190 Find the third derivative of -740318870*k**3 + 33*k**2 + 20*k - 38091. -4441913220 What is the second derivative of -2*k**2*x**5 + 1158239*k**2*x**2 - 397*k**2*x - k**2 - k*x + 2*x + 7 wrt x? -40*k**2*x**3 + 2316478*k**2 Find the third derivative of -11881514*r**5 - 731914*r**2 - 2*r + 2 wrt r. -712890840*r**2 What is the third derivative of 1178*z**5 + 44*z**4 - 8*z**3 - 2*z**2 - 19364586*z wrt z? 70680*z**2 + 1056*z - 48 What is the second derivative of -103737295*d**2 - 4695*d + 4166? -207474590 Differentiate 30995395*h*z**2 + 7922617*z**2 with respect to h. 30995395*z**2 Find the second derivative of 2396223*l**2*n**2 - 3*l*n**2 + 133*l*n - l - 114*n**2 + 17 wrt l. 4792446*n**2 Find the third derivative of 15221030*z**3 + 1979*z**2 + 743*z. 91326180 What is the first derivative of 35*z**4 - 3*z**3 + z**2 + 3893*z + 3078613 wrt z? 140*z**3 - 9*z**2 + 2*z + 3893 Differentiate h*y**3 - 2*h*y**2 + 4488*h*y + 397*h - 122476893*y**3 + y**2 with respect to h. y**3 - 2*y**2 + 4488*y + 397 Find the second derivative of -9304064*l**4 - 31*l + 27120. -111648768*l**2 What is the first derivative of -8751052*b**3 - 15007638 wrt b? -26253156*b**2 Find the first derivative of 29826788*x - 167466682. 29826788 Find the third derivative of 6970*w**4 - 716*w**3 + 44*w**2 + 19438*w - 1 wrt w. 167280*w - 4296 Differentiate -1098386645*k - 758229165 with respect to k. -1098386645 Find the first derivative of -1683574*j**3 - 112*j - 634310737 wrt j. -5050722*j**2 - 112 Find the third de
{ "pile_set_name": "DM Mathematics" }
the third derivative of -5469*g**3 - 2744*g**2 - 1? -32814 What is the second derivative of -12*f**4 + 11*f**3 - 100*f**2*w + 87*f*w + 404*f + 2*w - 2 wrt f? -144*f**2 + 66*f - 200*w What is the third derivative of c**6 - 9*c**4*i*y - 6*c**3*i**2 + 1289*c**2*i*y + c**2 - 2*c*i**2 wrt c? 120*c**3 - 216*c*i*y - 36*i**2 What is the third derivative of -21709*r**6 - r**2 - 1778*r - 5 wrt r? -2605080*r**3 Find the third derivative of 28643*g**3 + 2*g**2 - 5*g - 257. 171858 What is the third derivative of -193*g**6 + 1990*g**4 + 2*g**2 - 44*g - 4350? -23160*g**3 + 47760*g Find the first derivative of 2*n**2*t**2 - 278*n**2*t + 1487*n**2 + 113*t**2 + 15 wrt t. 4*n**2*t - 278*n**2 + 226*t Find the first derivative of 5*g**2 + 105246*g - 1391072 wrt g. 10*g + 105246 Find the third derivative of 63*f**6 - 31*f**5 - f**4 + 3563*f**2 + f - 5 wrt f. 7560*f**3 - 1860*f**2 - 24*f Find the first derivative of -2*h**2 - 8676*h - 65985. -4*h - 8676 Find the second derivative of 8619*h*q**5 + 49*h*q**3 - 211309*h*q - q wrt q. 172380*h*q**3 + 294*h*q What is the third derivative of -2*q**5 - q**4 - 6591*q**3 - 497369*q**2 - 3*q? -120*q**2 - 24*q - 39546 Find the third derivative of -12112*h*j**3 - 24282*h*j**2 + 2*h*j + 27*j**2 wrt j. -72672*h Find the third derivative of -23049*h**3*k**2 - 11*h**3*k + h**3 - 113*h**2*k + 37*k**2 + 14 wrt h. -138294*k**2 - 66*k + 6 Differentiate -344411*u + 23583 wrt u. -344411 Find the third derivative of 2255*k**2*o**3 - 14*k**2*o**2 - k**2 + 2*k*o**3 + 3*o**3 + 1369*o**2 wrt o. 13530*k**2 + 12*k + 18 Find the third derivative of 86571*z**3 - 2719*z**2 + 3*z - 1. 519426 Find the second derivative of 3975*b*q**5 + 29*b*q**3 + 31655*b*q + 24*q wrt q. 79500*b*q**3 + 174*b*q Find the third derivative of -158*b**4 + 200*b**3*h*t + 2*b**3*x - b**2*h*t*x - 59*b**2 - 6*h*t + 6*t wrt b. -3792*b + 1200*h*t + 12*x What is the third derivative of 11962*f*t**3 + 2*f + 3*t**3 + 7*t**2 - 3890*t - 5 wrt t? 71772*f + 18 Find the third derivative of 206475*h**3 + 652507*h**2. 1238850 What is the second derivative of -c**4*j - 2*c**3*j - 9349*c**2*j - 9387*c*j + 3*c - j wrt c? -12*c**2*j - 12*c*j - 18698*j Find the second derivative of -185909*q**5 - 30*q + 56940 wrt q. -3718180*q**3 Find the second derivative of 290885*p**4 - 6*p - 128385. 3490620*p**2 What is the first derivative of -1984840*c + 2183638? -1984840 What is the derivative of -1380700*a**2 + 765199? -2761400*a What is the third derivative of -1864741*z**4 + 35*z**2 + 11609*z wrt z? -44753784*z Find the third derivative of -98475*y**3 + 101*y**2 - 42*y wrt y. -590850 What is the first derivative of -4315*a*b**2*m**3 + 22*a*m**3 + 1243*b**2*m**3 - 3*b**2*m + m wrt a? -4315*b**2*m**3 + 22*m**3 What is the derivative of 26*h**3 - 231*h*p**3 - p**3 - 17230*p wrt h? 78*h**2 - 231*p**3 Find the third derivative of -706849*m**3 - 1873133*m**2 wrt m. -4241094 Find the first derivative of -235*o**3 - 14*o**2 + 6*o - 7442955. -705*o**2 - 28*o + 6 Find the third derivative of 31985*j**3*r**3 + 3*j**2*r**2 + 10*j**2 + j*r**3 + 84*j*r wrt j. 191910*r**3 Find the second derivative of -243*d**4 + 2*d**3 - 8*d**2 - 900*d - 71. -2916*d**2 + 12*d - 16 Find the third derivative of 37*h**6*x**3 + 3807*h**6 + h**2*x**3 - 30*h**2*x - 1161*h*x**3 + 3*h*x wrt h. 4440*h**3*x**3 + 456840*h**3 Find the second derivative of -120*r**4 + 61*r**3 + 2*r**2 - 21*r + 1819. -1440*r**2 + 366*r + 4 Find the third derivative of 1400353*a**3*p - a**2*p - 35*a*p - 442*p wrt a. 8402118*p Find the second derivative of 2*l**4*q**2 + 1843*l**3*q**3 - 2*l*q + 31557*q**3 wrt l. 24*l**2*q**2 + 11058*l*q**3 What is the first derivative of 1368645*l*u**2 - 2*u**2 + 21274*u + 7 wrt l? 1368645*u**2 What is the first derivative of 19*p*t*x**4 - 2*p*t*x**2 + 55*p*t*x - 2*p*t - 1284*p wrt x? 76*p*t*x**3 - 4*p*t*x + 55*p*t Find the second derivative of -p**2*t**2*v**3 - 1984*p**2*t + p**2*v**3 + 34*p*t**2*v**2 - 2*p*t**2 + 4*p*v**3 + 3*t**2*v + 3*t*v**3 + 2*t wrt p. -2*t**2*v**3 - 3968*t + 2*v**3 What is the derivative of 108734*b + 59111 wrt b? 108734 What is the third derivative of -460391*w**3 + 15508*w**2 + 120*w? -2762346 What is the derivative of 38746*r - 52082? 38746 What is the second derivative of -g**4 - 2*g**3 - 1466*g**2 + 251019*g? -12*g**2 - 12*g - 2932 What is the third derivative of 2206690*o**3 + o**2 + 2968819 wrt o? 13240140 What is the third derivative of 7*p**4 - 2079*p**3 + 166423*p**2 wrt p? 168*p - 12474 What is the derivative of -1187*g**4 - 10*g**3 + 2*g**2 - 46508? -4748*g**3 - 30*g**2 + 4*g What is the second derivative of 498650*s**3 + 2*s - 72421 wrt s? 2991900*s Differentiate 337*f**3*n**2 + 128*f**3*n + 126272*f**3 wrt n. 674*f**3*n + 128*f**3 What is the second derivative of -32759*z**2 + 16392*z - 1 wrt z? -65518 Find the second derivative of -169*j**2*t**2 + j**2*t + 825*j**2 - 6*j*t**2 + 6*j*t + j + 9*t**2 - t wrt j. -338*t**2 + 2*t + 1650 Find the first derivative of -41654*p**2*v**2 - p*v + 46271*v**2 wrt p. -83308*p*v**2 - v Find the third derivative of 12573*p**4 - 2412*p**2 + 4. 301752*p Find the second derivative of 663548*f**2 + 815838*f wrt f. 1327096 Find the third derivative of -3*s**4 + 82899*s**3 - 17*s**2 - 4*s - 6. -72*s + 497394 What is the second derivative of -h**3*l**2 + 22297*h**3*l + 2*h**3 + 12975*h*l**2 - 2*l**2 wrt l? -2*h**3 + 25950*h - 4 Differentiate 6123122*g + 70844 wrt g. 6123122 What is the derivative of -171092*a**4 + 22696? -684368*a**3 Differentiate -914*b*j**2 - 20*b*r**2 + 919*j**2*r + 6*j*r**2 wrt b. -914*j**2 - 20*r**2 Find the third derivative of 2*o**4 + 2418*o**3 + 4084*o**2 + 11*o. 48*o + 14508 What is the second derivative of -59742*w**4 - 62942*w? -716904*w**2 What is the derivative of 22*g*i**2*j - 7*g*i*j + 96*g*j - 427*i**2*j - 347*i wrt g? 22*i**2*j - 7*i*j + 96*j What is the second derivative of -208664*d**4 + 4*d**3 - 3484367*d wrt d? -2503968*d**2 + 24*d What is the second derivative of 79*m**3 + 16*m**2 + 1035*m? 474*m + 32 What is the second derivative of -150*t**5 - 382*t**4 - 557055*t wrt t? -3000*t**3 - 4584*t**2 Find the second derivative of -54017*c**2 - 67848*c - 1. -108034 Find the third derivative of -i**6 - 1094*i**4 + 72*i**3 + 32*i**2 + 2747. -120*i**3 - 26256*i + 432 What is the second derivative of -5477953*f**4 + 5224276*f wrt f? -65735436*f**2 Differentiate 957100*g + 888969 wrt g. 957100 What is the derivative of -18935*y - 12093 wrt y? -18935 Find the first derivative of 5*n**4 + 79*n**3 + 4*n - 6864. 20*n**3 + 237*n**2 + 4 Find the third derivative of 174537*d**3 + 28*d**2 + 55*d + 17 wrt d. 1047222 What is the third derivative of -89282*g**4 - 12*g**2 - 71 wrt g? -2142768*g What is the third derivative of -2*c**3*z + 59645*c**3 + 82*c**2 - 11*c*z - 3*c - 2*z wrt c? -12*z + 357870 What is the derivative of -5*a*b*p + 131*a*p + 53271*b**4 + 603*p wrt b? -5*a*p + 213084*b**3 What is the third derivative of -19311*v**3 - 28757*v**2? -115866 What is the first derivative of 5089*h**3*p**2 - 3*h**2 + h*p**3 - 317173*p**3 wrt h? 15267*h**2*p**2 - 6*h + p**3 Find the third derivative of -2*y**5 - 3210*y**3 - 45916*y**2. -120*y**2 - 19260 What is the first derivative of 10*c**2*x**2 - 357*c**2*x + 2*c**2 + c - 2610058*x**2 wrt c? 20*c*x**2 - 714*c*x + 4*c + 1 What is the second derivative of 7*n**2*r**2*s**3 - 12840*n**2*r**2 + n**2*r - 105*n**2*s + 21*n*r + r*s**3 wrt r? 14*n**2*s**3 - 25680*n**2 Find the second derivative of 21950*g**2*i**3 + 14*g*i**2 + 440*g*i + g - 2*i**3 wrt g. 43900*i**3 Find the third derivative of -n**3*x**3 - 530087*n**3*x**2 + n**3 + 17*n**2*x**3 - 5*x**3 + 368*x wrt n. -6*x**3 - 3180522*x**2 + 6 What is the derivative of -147068*b**3*d**3 - d**3 + 468*d**2 + 4*d + 4 wrt b? -441204*b**2*d**3 Find the second derivative of 70583*k**2 - 49983*k. 141166 Find the third derivative of -1111*i**4*k**2 + 252*i**4 - 212*i**2*k**2 - 22*i*k**2 - 3*i*k + 2*k**2 wrt i. -26664*i*k**2 + 6048*i Find the first derivative of -39302*d**2*r + 60749*d**2 wrt r. -39302*d**2 What is the third derivative of -32010*h**3 + 29577*h**2? -192060 Differentiate 60*o**4*r**3 + 289*o*r + 121*r**3 + 21*r**2 with respect to o. 240*o**3*r**3 + 289*r Find the third derivative of -77*t**5 - 896*t**4 - t**3 - 123*t**2 + 24*t + 4. -4620*t**2 - 2150
{ "pile_set_name": "DM Mathematics" }
5*l. What is the greatest common factor of 72 and u? 8 Let j = 210 - 347. Let d = j + 122. Let a(x) = -2*x + 4. Let k be a(d). What is the highest common factor of 51 and k? 17 Let w(u) = 33*u. Let x be w(1). Let k = -64 - -57. Let g be 1/(80/(-12) - k). What is the greatest common factor of g and x? 3 Let m(g) be the third derivative of 5*g**4/6 + g**3/6 - 12*g**2. Let q be m(1). Let f be (-14)/q*(-12 - 0). What is the highest common divisor of 24 and f? 8 Let r be (961 - (-2 + 2)) + (-3 - -1). Suppose 5*s = r + 226. Suppose z = 2*t - s, -5*t + 517 + 80 = -4*z. What is the greatest common factor of t and 13? 13 Suppose 0 = 59*i - 56*i + 828. Let j = i + 352. What is the highest common divisor of j and 133? 19 Suppose 224 = 2*b + 192. Suppose 0*a + 4*a + b = -5*u, 20 = 4*a - 4*u. Calculate the greatest common factor of 9 and a. 1 Let q = -1 - -1. Let i(z) = 7 + 6*z + q*z**2 + 1 + z**2. Let r be i(-12). What is the highest common factor of 10 and r? 10 Let u be (5/(-3))/5*-72. Let q be ((-50)/(-15))/((-5)/(-180)). What is the highest common divisor of q and u? 24 Suppose -60 = 7*j - 67. Let f = 15 - 10. Suppose -f*n - 5 = -2*p, -p + 8 - j = -n. What is the greatest common divisor of p and 110? 10 Let a = 148870 - 148838. Let o be ((-48)/10)/(-3)*30. Calculate the greatest common divisor of a and o. 16 Suppose -8*b + 62 + 242 = 0. Let q(c) = -13*c**2 - 6*c**2 + 3*c**2 + 2*c + b + c**3 - 4*c. Let n be q(16). What is the highest common divisor of n and 54? 6 Suppose -w - 99 = -97. Let h be 40 - ((-6)/3 - (w - 4)). Suppose -24 = -3*p + 3*t, -t + 43 = 5*p - 3*t. Calculate the highest common divisor of h and p. 9 Suppose -17*h = -1057 - 4859. Suppose n - 44 = -4*i - n, 0 = -2*i + 5*n + 34. Calculate the greatest common factor of i and h. 12 Let o = 291 - 264. Suppose 202 = o*z - 365. Calculate the highest common factor of z and 672. 21 Let s = 351 + 177. Suppose 12*x + 12335 = 12731. Calculate the highest common factor of s and x. 33 Suppose -w - 3*w + 53 = 3*r, 93 = 4*w - 5*r. Suppose -4*f - 292 = 156. Let x be 121/7 + 32/f. What is the greatest common divisor of x and w? 17 Let o = -2671 + 2745. What is the greatest common factor of 4 and o? 2 Let n = 1764 - 1275. Calculate the greatest common factor of 2282 and n. 163 Let p = -146 - -170. Calculate the highest common factor of p and 1644. 12 Let p(g) = 4*g**2 + 21*g - 153. Let v be p(6). Suppose 3*x + 3*q - 51 = 0, -7*x + 2*x + v = -3*q. What is the greatest common factor of x and 154? 7 Let k = 23564 - 22948. Calculate the greatest common factor of 1624 and k. 56 Suppose -77 = -2*s - 3*n, -5*s + 5*n + 29 + 176 = 0. Let a be (3 - -1) + -1 + 137. What is the highest common divisor of s and a? 20 Let p = -212 + 224. Let l be (2 + -4)/((-3)/90). Calculate the greatest common divisor of l and p. 12 Let y(v) = -2*v + 34. Let k be y(16). Let w = 587 + -289. Suppose -44 - w = -k*s. Calculate the highest common factor of 19 and s. 19 Let i be 2/(-4) - (-290)/20. Suppose 154 = 25*f - i*f. Suppose -2*w + 3 = -1. What is the greatest common factor of f and w? 2 Let y(f) = -3*f**3 + 3*f**2 + f - 3. Let z be y(2). Let s(t) = 2*t**2 + 12*t - 22. Let q be s(z). Calculate the highest common factor of q and 5. 5 Let g = -3 + 129. Let v be 6/(96/(-52))*4. Let k = v + 27. Calculate the greatest common divisor of g and k. 14 Let k be ((-18)/4)/((-18)/36). Suppose 6*i = k*i - 36. Let b = -233 - -341. What is the greatest common divisor of i and b? 12 Let o be (-2)/(-1) + (-215)/(-5). Let l(y) = -8*y - 127. Let b be l(-16). Suppose -4*f + 35 = -b. What is the greatest common divisor of o and f? 9 Suppose -311*l = -309*l - 6. Suppose 5*r = 4*r + 1, 4*r - 4900 = -l*c. What is the highest common factor of c and 32? 32 Let v be -3 + (-92)/(-28) + 55022/287. Suppose -3*q + 91 = -5. Calculate the highest common factor of q and v. 32 Suppose n = 44 - 54. Let m(b) = -b**3 - 6*b**2 + 21*b - 19. Let k be m(n). Calculate the highest common divisor of 27 and k. 9 Let q = -15 + 57. Suppose -6*s = -0*s - q. Calculate the highest common divisor of s and 119. 7 Suppose -8 = 8*f - 24. Let i(b) = 116*b - 23. Let s be i(f). What is the greatest common divisor of 22 and s? 11 Suppose -r - 3*g = -3380, -946*g - 6800 = -2*r - 944*g. What is the highest common factor of 35 and r? 35 Let h be (6 + 54/(-21))*105. Let m = -330 + h. What is the highest common divisor of 120 and m? 30 Let s be 4*(3 - 0)/6. Suppose -3*c = x + 168, 0*c + s*c + 3*x + 119 = 0. Let t = c + 79. What is the highest common factor of 3 and t? 3 Let l = 153333 - 153095. Let a be (-17)/1*(-4)/1. Suppose 0*o = -2*o + a. What is the greatest common divisor of o and l? 34 Suppose 0 = -0*u + 6*u - 240. Let q = u - 24. Let i = 10 - -14. What is the highest common factor of q and i? 8 Suppose 0 = 2*v + 3*m - 0*m - 822, -m = 4*v - 1624. What is the highest common divisor of 324 and v? 81 Suppose 5*q - 4*q + 2874 = 2*p, 0 = 4*p - 3*q - 5746. Suppose 4*z - 310 = p. What is the greatest common factor of z and 19? 19 Suppose -3*x + 18 + 3 = -5*i, 3*i + 17 = 4*x. Let h(k) = 4*k**2 + 11*k - 25. Let v be h(x). Calculate the greatest common factor of v and 325. 13 Suppose 5*u - 1675 = -5*d, -5*d + 1339 = 4*u - 0*u. Let a = -77 + u. Suppose a + 361 = 5*b. Calculate the highest common factor of 31 and b. 31 Let h = -193 + 326. Suppose -11 = -8*g + h. What is the highest common divisor of g and 162? 18 Let b(r) = r**2 - 7*r + 11. Let t be b(6). Suppose 0 = t*f + 2 - 62. Let w be ((-72)/(-10))/((-3)/(-10)). Calculate the highest common divisor of w and f. 12 Let x(f) = 846*f - 4102. Let n be x(9). What is the highest common divisor of n and 8? 8 Suppose 3*n - 5*t - 137 - 118 = 0, -t = 4*n - 317. Let k(u) = -3511*u + 14084. Let q be k(4). What is the greatest common divisor of n and q? 40 Let w = 284 + -282. Suppose 15*i + w*u - 152 = 14*i, 0 = -i + 3*u + 162. Calculate the highest common factor of 36 and i. 12 Let c(v) = -v**2 + 8*v + 12. Let w be c(9). Suppose 3 = w*a, -12*g = -7*g - a - 2459. Calculate the highest common factor of g and 12. 12 Let n(z) = 2*z**2 + 6*z + 3. Let c be n(-4). Let r = 14 - c. Suppose 0 = -12*l + 315 - r. Calculate the highest common factor of l and 234. 26 Suppose x + 8342 = 2*c, 3*c - x - 15595 + 3084 = 0. What is the highest common factor of c and 11? 11 Let n be (-40)/16*(-12)/(-10). Let u be (n/4)/((-7)/252). What is the greatest common factor of u and 18? 9 Suppose 1176 = 19*y - 5*y. Suppose 28*j = 700 + y. Suppose -2*w + 2*n + 18 = 0, 4*w = -w + 3*n + 35. What is the greatest common divisor of j and w? 4 Suppose -25*x + 16*x + 246 = -6*x. Calculate the greatest common factor of x and 178. 2 Suppose 4*n + 5*h = 7 - 17, n = 5*h + 10. Let u be ((-12)/(-20) - (n - -1))*-480. Calculate the greatest common divisor of 24 and u. 24 Let u = -481 - -774. Suppose -u = 2*q - 59. Let k = q - -121. What is the greatest common factor of k and 4? 4 Suppose 244*v + 71*v + 172453 = 827653. Calculate the highest common factor of 390 and v. 130 Let d(w) = -w**2 + 3*w + 16. Suppose 0 = -18*b + 20*b - 10. Let u be d(b). Let r be 5 + 64/u - 2/3. What is the greatest common divisor of r and 15? 15 Suppose -12 - 6 = -3*y. Suppose -y*t + 8*t - 370 = 0. Let b(g) = 139*g - 621. Let r be b(5). What is the highest common divisor of t and r? 37 Let m be 135*(-21)/(-18)*2. Suppose -96 = -3*s + 9. What is the greatest common factor of s and m? 35 Suppose -284*p + 38841 = 79*p. Calculate the highest common factor of 7 and p. 1 Let x = 32944 + -31272. What is the highest common divisor of x and 440? 88 Let d = -253 + 264. Suppose 12*l - d*l = 30. Calculate the greatest common divisor of l and 35. 5 Let j(c) = c**2 + 13*c + 21. Let m be j(-10). Let h be (-4 - m)*(-7 + 8). Let u be -5*(0 - (0 - -1)). What is the highest common factor of h and u? 5 Let w = 53 - 49. Suppose -507 = -w*x + 3*f, -4*x + 369 = 4*f - 131. Calculate the highest common factor of 56 and x. 14 Let w be (-1)/(-2) + (9 - (-110)/20). Let c be w*1 - (19 - 25). Calculate the greatest common factor of 12 and c. 3 Suppose 0 = 4*c - 8, -29*c - 497 = -3*f - 24*c. Suppose 9*s - 1 = 116. What is the greatest common divisor of f and s? 13 Suppose g = 2*s - 59, 2*s - 26*g + 31*g - 77 = 0. Calculate the highest common divisor of
{ "pile_set_name": "DM Mathematics" }
nteger? 1236 What is 1467188 to the power of 1/10, to the nearest integer? 4 What is 1606011 to the power of 1/3, to the nearest integer? 117 What is 9236522 to the power of 1/2, to the nearest integer? 3039 What is the cube root of 663008 to the nearest integer? 87 What is 457971 to the power of 1/2, to the nearest integer? 677 What is 3629115 to the power of 1/8, to the nearest integer? 7 What is the seventh root of 195542 to the nearest integer? 6 What is the ninth root of 16730608 to the nearest integer? 6 What is 1244888 to the power of 1/2, to the nearest integer? 1116 What is the square root of 864005 to the nearest integer? 930 What is the sixth root of 827102 to the nearest integer? 10 What is the square root of 563470 to the nearest integer? 751 What is 424618 to the power of 1/9, to the nearest integer? 4 What is the cube root of 168451 to the nearest integer? 55 What is 266483 to the power of 1/3, to the nearest integer? 64 What is 16065 to the power of 1/3, to the nearest integer? 25 What is 1369741 to the power of 1/2, to the nearest integer? 1170 What is 1636775 to the power of 1/2, to the nearest integer? 1279 What is the seventh root of 1010270 to the nearest integer? 7 What is the square root of 289991 to the nearest integer? 539 What is the cube root of 1119384 to the nearest integer? 104 What is 3874889 to the power of 1/2, to the nearest integer? 1968 What is the third root of 961542 to the nearest integer? 99 What is 316229 to the power of 1/9, to the nearest integer? 4 What is 1394641 to the power of 1/6, to the nearest integer? 11 What is the sixth root of 565685 to the nearest integer? 9 What is the cube root of 2334889 to the nearest integer? 133 What is the cube root of 17808237 to the nearest integer? 261 What is the square root of 260441 to the nearest integer? 510 What is the cube root of 421031 to the nearest integer? 75 What is 2200202 to the power of 1/7, to the nearest integer? 8 What is the cube root of 2430115 to the nearest integer? 134 What is the square root of 3944822 to the nearest integer? 1986 What is the third root of 196500 to the nearest integer? 58 What is 3311931 to the power of 1/5, to the nearest integer? 20 What is 13212454 to the power of 1/7, to the nearest integer? 10 What is the eighth root of 854543 to the nearest integer? 6 What is 316393 to the power of 1/6, to the nearest integer? 8 What is 11672156 to the power of 1/5, to the nearest integer? 26 What is the cube root of 439310 to the nearest integer? 76 What is the cube root of 9320731 to the nearest integer? 210 What is 183516 to the power of 1/6, to the nearest integer? 8 What is 39076 to the power of 1/10, to the nearest integer? 3 What is 1728904 to the power of 1/2, to the nearest integer? 1315 What is the cube root of 19256897 to the nearest integer? 268 What is 945269 to the power of 1/3, to the nearest integer? 98 What is the cube root of 4821887 to the nearest integer? 169 What is the third root of 12269947 to the nearest integer? 231 What is the ninth root of 349960 to the nearest integer? 4 What is the square root of 190689 to the nearest integer? 437 What is the square root of 583447 to the nearest integer? 764 What is 1160534 to the power of 1/2, to the nearest integer? 1077 What is 412715 to the power of 1/2, to the nearest integer? 642 What is 17128625 to the power of 1/5, to the nearest integer? 28 What is 6004829 to the power of 1/8, to the nearest integer? 7 What is 84908 to the power of 1/8, to the nearest integer? 4 What is 5818953 to the power of 1/4, to the nearest integer? 49 What is the eighth root of 176749 to the nearest integer? 5 What is 467166 to the power of 1/2, to the nearest integer? 683 What is 15558720 to the power of 1/9, to the nearest integer? 6 What is the square root of 1149444 to the nearest integer? 1072 What is 84880 to the power of 1/2, to the nearest integer? 291 What is 1683960 to the power of 1/2, to the nearest integer? 1298 What is the square root of 2034059 to the nearest integer? 1426 What is 20935 to the power of 1/3, to the nearest integer? 28 What is 96787 to the power of 1/2, to the nearest integer? 311 What is 27310827 to the power of 1/2, to the nearest integer? 5226 What is the third root of 885685 to the nearest integer? 96 What is 18040296 to the power of 1/3, to the nearest integer? 262 What is 16304245 to the power of 1/9, to the nearest integer? 6 What is 184286 to the power of 1/2, to the nearest integer? 429 What is 169084 to the power of 1/2, to the nearest integer? 411 What is the third root of 354111 to the nearest integer? 71 What is the eighth root of 5559783 to the nearest integer? 7 What is the third root of 521066 to the nearest integer? 80 What is 261482 to the power of 1/7, to the nearest integer? 6 What is the square root of 5683082 to the nearest integer? 2384 What is 994200 to the power of 1/9, to the nearest integer? 5 What is the third root of 305783 to the nearest integer? 67 What is the cube root of 173504 to the nearest integer? 56 What is 384271 to the power of 1/6, to the nearest integer? 9 What is 136340 to the power of 1/8, to the nearest integer? 4 What is the ninth root of 719038 to the nearest integer? 4 What is the cube root of 164759 to the nearest integer? 55 What is the cube root of 4516124 to the nearest integer? 165 What is the square root of 1019922 to the nearest integer? 1010 What is the cube root of 12444 to the nearest integer? 23 What is the eighth root of 338079 to the nearest integer? 5 What is the third root of 4722422 to the nearest integer? 168 What is 4414080 to the power of 1/2, to the nearest integer? 2101 What is the square root of 522851 to the nearest integer? 723 What is 15316298 to the power of 1/2, to the nearest integer? 3914 What is the seventh root of 657600 to the nearest integer? 7 What is 800962 to the power of 1/9, to the nearest integer? 5 What is 146545 to the power of 1/3, to the nearest integer? 53 What is the cube root of 1674924 to the nearest integer? 119 What is 33949813 to the power of 1/2, to the nearest integer? 5827 What is 1677474 to the power of 1/2, to the nearest integer? 1295 What is the fifth root of 8607142 to the nearest integer? 24 What is 491947 to the power of 1/3, to the nearest integer? 79 What is 411055 to the power of 1/2, to the nearest integer? 641 What is the third root of 525653 to the nearest integer? 81 What is 999647 to the power of 1/2, to the nearest integer? 1000 What is the seventh root of 58451 to the nearest integer? 5 What is the tenth root of 1092357 to the nearest integer? 4 What is the square root of 4316796 to the nearest integer? 2078 What is the third root of 671623 to the nearest integer? 88 What is 16414131 to the power of 1/2, to the nearest integer? 4051 What is 1205758 to the power of 1/2, to the nearest integer? 1098 What is the cube root of 74483 to the nearest integer? 42 What is 3046356 to the power of 1/2, to the nearest integer? 1745 What is 446974 to the power of 1/2, to the nearest integer? 669 What is the third root of 25977 to the nearest integer? 30 What is the cube root of 401250 to the nearest integer? 74 What is 3272605 to the power of 1/2, to the nearest integer? 1809 What is 961580 to the power of 1/7, to the nearest integer? 7 What is 1099039 to the power of 1/3, to the nearest integer? 103 What is 723246 to the power of 1/8, to the nearest integer? 5 What is 271525 to the power of 1/2, to the nearest integer? 521 What is 2142311 to the power of 1/9, to the nearest integer? 5 What is the eighth root of 9416024 to the nearest integer? 7 What is the tenth root of 1103771 to the nearest integer? 4 What is 494884 to the power of 1/9, to the nearest integer? 4 What is 33726402 to the power of 1/5, to the nearest integer? 32 What is 53977 to the power of 1/3, to the nearest integer? 38 What is the square root of 49756 to the nearest integer? 223 What is the square root of 50364 to the nearest integer? 224 What is the cube root of 680860 to the nearest integer? 88 What is 151235 to the power of 1/8, to the nearest integer? 4 What is 10330383 to the power of 1/2, to the nearest integer? 3214 What is the seventh root of 46997 to the nearest integer?
{ "pile_set_name": "DM Mathematics" }
). 220*r**3 Expand r**4 + 2*r**4 - r**4 + (-r + 5*r - 2*r)*(0*r**2 + r**3 + 0*r**2) - 28134 + 41*r**4 + 28134. 45*r**4 Expand (-23*x + 6*x + 3*x)*(-2*x + 5 + 7*x + 3*x). -112*x**2 - 70*x Expand (-31 + 17*r**3 + 31)*(-3*r + r + 3*r + (5*r - 4*r + 2*r)*(2 - 1 - 2)). -34*r**4 Expand (-1113 - 34*v**2 + 1113)*(5 - 4 + 0)*(-3*v + 2 - 2). 102*v**3 Expand 30 + 6*d**2 - 30 + 28 - 2*d**2 + 4*d + 3*d - 8*d + (2*d**2 + 1 - 1)*(2 - 7 + 4). 2*d**2 - d + 28 Expand (0*g**5 + 2*g**5 - g**5)*(-1 + 4 + 10 + (-1 - 1 + 3)*(2 + 1 + 4)). 20*g**5 Expand (0 + 4*d - 1 - 1)*(13*d + 2*d + 2*d). 68*d**2 - 34*d Expand (-13*d - 31*d - 96*d - 25*d)*(-d**2 + d**2 + 2*d**3). -330*d**4 Expand (-8*v + 3*v + 3*v)*(v + 0*v - 3*v + (-2 + 2*v + 2)*(1 + 1 - 4) + v + 13*v - 3*v). -10*v**2 Expand (-9*m - 10*m + 6*m)*(m**3 + 2 - 2). -13*m**4 Expand (-2 + 0*o + o + 0*o)*(-2 + 4*o + 137*o + 116*o). 257*o**2 - 516*o + 4 Expand (-26*p + 39*p - 30*p)*(7*p - 13*p - 3*p)*(p + p - 4*p). -306*p**3 Expand (-4 + 0 - i**2 + 3*i**2)*(70 + 60 - 51). 158*i**2 - 316 Expand (23*i + 7*i - 9*i)*((-2*i + 3*i - 2*i)*(i**2 + 2*i**2 - 2*i**2) + 3*i**3 - i**3 + 0*i**3). 21*i**4 Expand (-43*d**2 + 73 - 73)*(2*d**3 + d**3 + 0*d**3) + (-33 + 33 - d**4)*(3 - 3 - 2*d). -127*d**5 Expand (0*a - a + 0*a)*(a - 2*a + 2*a) + 30 - 30 + 13*a**2 + a - a**2 - a. 11*a**2 Expand (w - 2*w + 0*w)*(-2 + 3 - 4)*(w**2 + w**2 - w**4 - 17*w**4) + (-7 + 3 + 2)*(0*w**5 - 5*w**5 + 4*w**5) + 0*w**5 - w**5 + 2*w**5. -51*w**5 + 6*w**3 Expand (3 + 0 - 4)*(0 + 5 + 2)*(-1 + 1 - 3*n)*(1 - 2 - 1)*(3 - 1 + 1). -126*n Expand (-1 + 5*d + 9 - 4*d)*(2*d - 3*d + 0*d) + d**2 - 3*d**2 + 0*d**2. -3*d**2 - 8*d Expand (-m + 3*m + m + 20 - 20 + 4*m + m + m - 3*m + (-3*m - 2*m + 2*m)*(2 - 2 - 1))*(-3 + 2 + 0). -9*m Expand (-220 + 220 - 8*g**2)*(3 - 2 + 0)*(g - 5*g + g). 24*g**3 Expand -2*f**5 + 0*f**5 + 5*f**5 + (9*f**3 - 4*f**3 + 19*f**3)*(3*f**2 - 5*f**2 - 2*f**2). -93*f**5 Expand (66*w**2 - 24*w**2 - 44*w**2 - 1051*w**3)*(3*w**2 + w**2 - 5*w**2). 1051*w**5 + 2*w**4 Expand (18*z - 45*z + 22*z)*((2*z**3 + z**3 - 5*z**3)*(z - 3*z + 4*z) + 2*z**4 + 2*z**2 - 2*z**2 - 3*z**4 + 3*z**4 - 2*z**4). 20*z**5 Expand (x**2 + 4 - 4)*(29 - 6*x - 29)*(-4 + 16 - 3). -54*x**3 Expand 41*y - 84*y - 89*y + (y + 0 + 0)*(3 - 1 + 0). -130*y Expand (w**3 - 5*w**3 + 2*w**3)*(23 - 46 - 15)*(-4*w + 3*w + 3*w)*(-2*w + 2*w + 3*w). 456*w**5 Expand (-4*q + 0*q - 7*q)*(3*q + q**3 - 3*q - 1). -11*q**4 + 11*q Expand (0*v + v + 0*v)*(-v**3 + v**3 - v**3)*(-8 - 2 + 3)*(-v + 3*v + 4*v). 42*v**5 Expand (n**4 + 0*n**4 - 3*n**4)*(-n + 6*n - 4*n + (-1 + 1 - n)*(193 - 38 + 104)). 516*n**5 Expand (0 + 0 + 4)*(222*g**3 - 77*g**3 + 131*g**3). 1104*g**3 Expand (-1 + d + 1)*(-3 + 0 - 2)*(-15 - 3 + 49). -155*d Expand (-i + 3*i + 0*i)*(-7 - 13 + 33)*(-3 - 10 + 3)*(3 - 1 - 4)*(-i + 6*i - 3*i). 1040*i**2 Expand (-f + 2*f + f)*(-14*f - 5*f**2 + 14*f)*(-3*f - f + 5*f). -10*f**4 Expand (12*i + i**2 + 11*i + 2*i**2)*(5*i**2 - 5*i**2 + 3*i**3). 9*i**5 + 69*i**4 Expand -374*n + 374*n - 29*n**2 + (3 + 1 + 0)*(-n**2 + n**2 - n**2). -33*n**2 Expand ((-3 - 4 + 1)*(7*q**2 - 4*q**2 + q**2) - 11*q + 8*q**2 + 11*q)*(1 - 4 + 1)*(-5 - 2*q + 5). -64*q**3 Expand (0 - 2*u**2 + 0)*(-4 + 4 - 3)*(-626*u**2 - 627*u**2 + 1310*u**2). 342*u**4 Expand 28*g - 14*g - 21*g + 3*g + g - 2*g + g + 0*g + 0*g + g - 5*g + 2*g + (1 + 1 - 4)*(-2 + 2 - 2*g) - 3*g + 4*g - 2*g + g - 9 + 9. -2*g Expand (-3*j**4 + j**5 + 3*j**4)*(-1 + 4 - 2) + 0*j + 3*j**5 + 0*j + (-2*j**2 + j - j)*(3*j**3 + 2*j**3 - 3*j**3) - 13*j**5 + 3*j**5 - 3*j**5. -13*j**5 Expand -2*s**5 + 4 - 4 - s + s - s**5 + (5*s**3 + 5*s**3 + 5*s**3)*(10*s**2 + 2*s**2 + s**2). 192*s**5 Expand 2*n**2 + 15*n**2 - 2*n**2 + (-1 + 1 - 3*n)*(1 - 2*n - 1) + 5*n - 5*n + 2*n**2. 23*n**2 Expand (3*f + 3*f - 2*f)*(3*f**2 + 2*f**2 - 3*f**2 + (0 + 2 - 1)*(3*f**2 + f**2 - f**2))*(-2*f - 2*f + 11*f). 140*f**4 Expand (1 - 2 + 7)*(3*g - 3*g - g)*(3*g - 5*g + 4*g) + (g + 1 - 2*g - 2*g)*(-1 + 1 + 3*g). -21*g**2 + 3*g Expand (25*s**2 - 29*s**2 - 3*s**3 + 5*s**3)*(3 - 3 + 2*s)*(-1 + 3 + 1). 12*s**4 - 24*s**3 Expand (-821 + 821 - 26*c)*(6 + 0 - 4) - 2*c - 2*c + 5*c. -51*c Expand (-8*t - 3*t + 6*t)*(-55 - 29*t + 55). 145*t**2 Expand 2*t**5 - 2*t**5 - 3*t**5 + (-2*t**2 - t + t)*(-t**3 - 4*t**3 + 4*t**3) + 6*t + 6*t**5 - 6*t. 5*t**5 Expand (0*d - 2*d + 4*d)*(-6*d + 3*d + d)*(170*d**3 - 2126*d + 2126*d). -680*d**5 Expand -142*y**4 + 277*y**4 - 145*y**4 + 5 - y**5 + (0*y + y + y)*(y**4 + 2*y**4 - 2*y**4). y**5 - 10*y**4 + 5 Expand -z**2 - z**2 - 3*z**2 + (-4 + 7 - 8)*(0*z**2 + 3*z**2 + 4*z**2). -40*z**2 Expand (0*n + n + 0*n)*(-2*n**3 - 2*n**2 + 2*n**2) - 3*n + 146*n**4 + 4*n - 205*n**4. -61*n**4 + n Expand (m**2 - 2 + 2)*(-4 - m + 4)*((-m - 2*m + 5*m)*(-46 - 23 + 8) + 2*m - 2 + 2). 120*m**4 Expand (0*c**3 + 2*c**3 + 0*c**3)*(4*c + c + 2*c) + c**4 - 2*c**3 + 2*c**3. 15*c**4 Expand (2 - 4 + 3)*(4*n - 4*n + n + (0*n - 2*n + 0*n)*(-5 + 0 + 3))*(n - 6*n - 3*n). -40*n**2 Expand ((1 + 1 - 3)*(-k + 2*k + k) - 20 - 3*k + 20)*(0*k - 3*k + k) + k**2 + 0*k**2 - 2*k**2. 9*k**2 Expand (2 - 6 + 1 + (2 + 8 - 2)*(-4 + 3 + 2))*(0 + 2 - 3)*((2 - 2 + 2)*(-3*o + 6*o - o) + 3*o + o - 2*o + 3*o + 1 - 1). -45*o Expand (0 + 0 - 2*b)*(8 - 1 + 0)*(4 - 7*b - 4). 98*b**2 Expand (1 + 2 - 4)*(-23*k**3 - 2*k**3 - 16*k**3)*(-1 - 3 + 3). -41*k**3 Expand (-4*z**3 + 3*z**3 + 5*z**3)*(-5 + 6 + 4) - 6*z**3 + 8*z**3 - 13*z - z**3. 21*z**3 - 13*z Expand (-5*o + 4*o - 9*o)*(-33 - 192*o**2 + 192*o**2 - 2*o**3). 20*o**4 + 330*o Expand -3*q**5 + 5*q**5 - q**5 + (-5*q**5 + 4*q**5 - q**5)*(-4 + 2 + 4) + (-4*q**4 + 0*q**4 + 0*q**4)*(0*q + 2*q - 3*q) + q**4 + 2*q**5 - q**4. 3*q**5 Expand (-15 + 21 - 73)*(w**4 - 2*w**4 + 0*w**4). 67*w**4 Expand ((-3 + 3 - 2*g)*(2*g - 2*g + 2*g) + 2*g**2 + g**2 - 2*g**2)*(29*g + 101*g - 44*g). -258*g**3 Expand (2 + 3 - k - 6)*((6*k**2 - 6*k**2 + 6*k**2)*(7 - 6 + 6) + 2*k**2 - k**2 - 4*k**2). -39*k**3 - 39*k**2 Expand (w - 2*w**2 - w)*(-8*w**2 + 7*w**2 + 2*w**2) + 5*w**4 - 25*w**4 - 3*w**4. -25*w**4 Expand -9*u - 10*u**4 + 9*u + (-3 + 4 + 1)*(u**3 - 3*u**3 + 0*u**3)*(-2*u - 5 + 5). -2*u**4 Expand (-2*s**2 + s**2 - 4*s**2)*(3*s - 3*s - 16*s**3) + 2*s**5 - s**5 + 0*s**5. 81*s**5 Expand (-1 + 1 + 2)*(2*k**2 + 0*k**2 + 2*k**2)*(19*k**3 + 3*k**3 - 9*k**3). 104*k**5 Expand (-6*r**3 + 4*r**3 + r**3)*(5 + 24 - 8)*(-5 + 3 + 3). -21*r**3 Expand (5*p - 2*p + 6*p)*(5229*p - 5229*p + 54*p**3). 486*p**4 Expand (2 - 1 + 1)*(1 + 4 + 0)*(0*w - 4*w + w). -30*w Expand (6 + 5 + 0)*(-68*j**2 - 365*j + 365*j). -748*j**2 Expand (13*i - 30*i - 10 + 20*i)*(0*i + 0*i - i**2). -3*i**3 + 10*i**2 Expand (-4 + 9 + 2)*(4*p**3 - p**3 - 5*p**3)*(9 - 11 - 16). 252*p**3 Expand (-31*g**3 + 6*g**3 - 31*g**3 - 2*g**2)*(17*g**2 - g**2 + g**2). -952*g**5 - 34*g**4 Expand (11*k**2 - 3*k**3 - 11*k**2)*((3*k - 4*k - k)*(1 + 2 - 1) - 2*k + 0*k + k + 0 - 2*k + 0). 21*k**4 Expand (3 - 3 - 2*v)*(158 + 112 - 216). -108*v Expand (-8140*f + 462*f**2 + 8140*f)*(1 + 1 + 0). 924*f**2 Expand (-2*t**3 + 4*t**3 - 3*t**3)*((-3 + 3 + 2*t)*(-4*t + t + t) - 9*t**2 - 107*t**2 - 36*t**2). 156*t**5 Expand (0 + 1 + 0)*(0*a**2 + a**4 + 0*a**2) - 22*a**4 + 5*a**4 + 6*a**4 - 10*a**4. -20*a**4 Expand (0*o - o - o)*(-3*o + 4 - 4) + 15*o**2 - 11*o**2 - 29*o**2. -19*o**2 Expand -818*u**2 + 393*u**2 - u + 405*u**2 + (-2*u + 4*u - u)*(2*u - 1 + 1). -18*u**2 - u Expand 3*v**2 + 4*v**2 - 5*v**2 + (2*v - 4*v + 4*v)*(-2*v + 0*v + 3*v) + 150*v**2 - 523*v**2 + 2093*v**2. 1724*v**2 Expand (16*s - 10*s + 20*s)*(-6 + 4*s - 1 + 6 + s**2). 26*s**3 + 104*s**2 - 26*s Expand -2*f**3 + 2*f**3 - 2*f**5 + (3*f**4 + 0 + 0)*(15*f - 4*f + f) - 4*f**5 + 5*f**5 + 3*f**5. 38*f**5 Expand (14*z**2 - 16 + 16)*(-3*z**3 + 3*z**3 - 2*z**3) + (-4*z**4 + z**4 + 0*z**4)*(3 - 3 + z) - 3*z**5 - 3*z**5 + 4*z**5. -33*z**5 Expand (9*n**3 - 11*n**3 - 9*n**3)*(2*n + 0 + 0) + 0*n**3 - 2*n**4 + 0*n**3. -24*n**4 Expand (-5 - 24 + 8)*(5*k**4 + 14*k**4 - 4*k**4). -315*k**4 Expand f - f - f + (-f + 0 + 0)*(-1 - 4 + 3) + 22 + 40 + 2*f + 452. 3*f + 514 Expand (-35*l - 25*l + 6*l)*(6*l + 0*l + 8*l). -756*l**2 Expand (82*q + 103*q + 30*q + 37*q)*(2*q - 3*q + 3*q). 504*q**2 Expand (4*t - 4*t + t)*(0*t + 4*t - 2*t) + t**2 - t**2 + t**2 + 22*t**2 - 145 + 145 + (0*t + 0*t + 2*t)*(7*t + 11 - 11). 39*t**2 Expand (3 - 3 + 2*m)*(-3*m**2 + 12 - 12) - 21
{ "pile_set_name": "DM Mathematics" }
122. Let d be o(-31). Determine w(d). -12 Let s(t) be the first derivative of -t**4/4 - t**3/3 - 5*t**2/2 - 11*t - 27. Let f be s(-2). Let p(i) = -i**2 + 2*i + 3. What is p(f)? 0 Let f(d) = -2*d**3 - 170*d**2 - 166*d + 164. Let o be f(-84). Let u(l) = -l**2 - 2*l + 9. Calculate u(o). 1 Suppose -6*g - 4 = -10. Let q(c) = 0*c + 22*c - 2*c. Determine q(g). 20 Let n = -945 + 945. Let m(v) be the third derivative of v**4/24 - v**3/6 - 11*v**2. Calculate m(n). -1 Let n(x) = 2*x**3 - 36*x**2 + 2. Let f be n(18). Let w be f*1/(-1 + -1 + 0). Let a(j) = 3*j. Give a(w). -3 Let z(r) = -4*r + 48. Let s be z(10). Let t(q) = -6*q**2 + s - q**2 + 6*q**2 - 6*q. Let m(l) = l**3 - 6. Let p be m(0). Determine t(p). 8 Let o(r) be the first derivative of 0*r**5 - 23 - 1/24*r**4 + 0*r - 1/6*r**3 + 7*r**2 + 1/20*r**6. Let h(t) be the second derivative of o(t). What is h(-1)? -6 Suppose -312 = 11*t - 950. Suppose -48 = -t*r + 64*r. Let a(f) = -1 + 0 - 3 - f. What is a(r)? 4 Let r(o) = 6*o - 3. Suppose 0 = 9*x + 5*x - 42. Suppose 2*s - a + 192 = -6*a, -x*s = -a + 305. Let p = 104 + s. Give r(p). 15 Let o(a) = -5*a - 6. Let p(j) be the first derivative of -j**4/4 - 4*j**3/3 + 3*j + 60. Let q be p(-3). Give o(q). 24 Let o(x) = 4*x**2 - 3*x**3 - x**2 - 7*x**2 + 97 - x - 103. Let b be o(-2). Let u(j) = 3*j**3 + 7 - j - 2 - 2*j**3 - 5*j**2. Give u(b). -15 Let f(y) be the second derivative of y**5/20 + y**3/6 + 3*y**2 - 770*y. Determine f(0). 6 Let r(b) = b**3 - 8*b**2 + 5. Let p = 64 + -61. Let f(a) = -24*a**3 - 21*a**3 - 3*a**2 + a + 44*a**p + a. Let s be f(-4). Give r(s). 5 Let n(l) be the third derivative of l**6/720 + l**5/24 - 13*l**4/2 + 72*l**2 + 1. Let g(s) be the second derivative of n(s). Give g(-11). -6 Let h(a) = 63 - 127 - 20*a + 80. Give h(1). -4 Let q(d) = -d**3 - 7*d**2 + 4*d - 12. Let v(s) = -6*s**3 - 9*s**2 - s + 9. Let m be v(1). Determine q(m). -40 Let y(x) = -x - 1. Let u be 3 - (1 - -2 - 1). Let t(f) = -f**2 + 8*f + 5. Let d(p) = 2*p. Let s(h) = -3*d(h) + t(h). Let v(m) = u*s(m) + 3*y(m). Calculate v(2). -4 Suppose 0 = r - 2, -3*c - 2*c - 5*r + 20 = 0. Suppose c*s = -3*x + 6, -3 = -3*s - 5*x + 6. Suppose -7*t = -s*t. Let b(j) = -j**2 + j + 16. Give b(t). 16 Let o(y) = -2*y - 299. Let x(n) = -2*n - 230. Let d(i) = -3*o(i) + 4*x(i). Let t be -10*1/(4 + -3). Determine d(t). -3 Let b(c) be the second derivative of c**4/4 - 8*c**3/3 + 13*c**2/2 + 36*c - 2. Let s(i) = -4*i**2 + 24*i - 19. Let o(w) = -7*b(w) - 5*s(w). What is o(-9)? -5 Let q(j) = j + 8. Let p(u) = 2*u + 2. Let m be p(2). Let t be 3 - 4/m*12. Let c(n) = -1. Let d(x) = t*c(x) - q(x). Give d(-5). 2 Let i(z) = -323*z**2 + 19*z - 16. Let l(n) = -1130*n**2 + 57*n - 49. Let h(q) = 7*i(q) - 2*l(q). Suppose -19 = -3*p + 35. Calculate h(p). 4 Let m(x) = -5*x**2 - 5 + 5 - x. Let o be m(-1). Let l(k) be the first derivative of -k**4/4 - 4*k**3/3 + k**2/2 + 544. Give l(o). -4 Let z(i) = -i**3 + 10*i**2 + 11. Let x be z(10). Suppose -6*k = -19 - x. Let u(p) be the first derivative of p**3/3 - 3*p**2/2 - 6*p - 817. Calculate u(k). 4 Let p(c) be the second derivative of 52*c - 6*c**2 + 1/12*c**4 - c**3 + 0. Determine p(7). -5 Suppose -19 = 3*x - m, 2*x + 6 = -0*x + 2*m. Let s(f) = -f**3 - 8*f**2 - 8*f - 86. What is s(x)? -22 Let n(g) = g**2 + 3*g + 11. Suppose -165 = 21*y + 12*y. Let o(t) = -t**2 - 4*t - 11. Let p(v) = y*o(v) - 4*n(v). What is p(-5)? -4 Let g(l) = -5*l**2 - 14*l - 1. Let v(h) = -22*h**2 - 58*h - 4. Let i(s) = 9*g(s) - 2*v(s). Let c be (-8)/(48/(-54))*-1*1. What is i(c)? 8 Let t(z) = 2*z + 5. Let r be (-1)/2*(-38 + 4 + 0). Let n = r - 23. Give t(n). -7 Let r(g) = -g**3 + 22*g**2 + 84*g + 34. Let c(v) = -2*v**3 + 46*v**2 + 184*v + 68. Let m(z) = -6*c(z) + 13*r(z). Give m(8). 66 Let i(t) = 3*t**2 + 18*t + 10. Let r be i(-6). Let v(o) = o - 4. Let k(l) = -l**3 + 9*l**2 + 12*l - 3. Let d(s) = -k(s) + 3*v(s). Give d(r). 1 Let k(j) = -j - 1. Suppose a - 2 = 1. Let x(r) = -r**3 - 3 - r**3 - 11*r + 12*r**2 + r**a - r**2. Let l(u) = -2*k(u) + x(u). Give l(10). 9 Let v(z) be the first derivative of z**2/2 + 2*z + 218. Suppose -11*i = -5*i - 30. Suppose -2*s + 24 = -i*s. Calculate v(s). -6 Let x(d) = -6*d + 15. Let v(q) be the first derivative of 5*q**2/2 - 16*q - 6. Let s(f) = -5*v(f) - 4*x(f). Let w = -32 - -32. Determine s(w). 20 Let l(q) be the first derivative of -q**4/4 - 13*q**3/3 - 8*q**2 - 17*q + 1170. Give l(-12). 31 Suppose 3*u + u + 35 = -3*y, -15 = 5*u - 2*y. Let a = 253 + -251. Let q(c) = 4 + 55*c + 3*c**a - 45*c - 2*c**2. Give q(u). -21 Let a(x) = -1471345*x**3 + 2*x + 2*x**2 - 4*x**2 + 735668*x**3 + 735681*x**3 - 1. Let h = 10 + -6. Suppose 5*t + n = 2, h*n - 2*n + 4 = -2*t. Determine a(t). 3 Let u(a) = 6*a - 7. Let f(w) = w**2 - 35*w - 6. Let q be f(0). Determine u(q). -43 Let d = 6 + 3. Let y = -1 + d. Let n(b) = b**3 - 2*b**2. Let p(j) = 3*j**3 - j. Let z(h) = -4*n(h) + p(h). Give z(y). -8 Suppose -11 = -2*w + d, -4*d = -155*w + 150*w + 20. Let k(j) = j**3 - 9*j**2 + 8*j + 3. Determine k(w). 3 Let r(a) = -a**3 - 2*a**2 + 11 - 8*a - 6*a**2 - 4. Suppose -51 = -4*u - 5*l, -l = -4*u + 39 + 42. Let h(j) = 2*j**2 - 37*j - 26. Let o be h(u). Give r(o). 14 Suppose -4*w + z - 4098 = 15491, 0 = -3*z + 15. Let m be w/112 + (-2)/7. Let a = -49 - m. Let s(t) = -3*t - 1. Calculate s(a). 14 Let x(o) = o**2 - 6*o + 10. Let i be x(4). Suppose i = -c + 9. Let v(d) = -c - 28*d - 1 + 29*d. Determine v(8). 0 Let c = -6 + 9. Let r be c/(-9)*0 + 1. Let a(m) = -4*m**3 + 9*m**2 + 2*m. Let z(w) = 25*w**3 - 51*w**2 - 11*w. Let v(j) = 17*a(j) + 3*z(j). Calculate v(r). 8 Let f(v) be the second derivative of -v**3/3 + 31*v**2/2 - 169*v. Give f(20). -9 Let i(m) = -93*m - 127. Let f(w) = -54*w - 63. Let r(g) = 7*f(g) - 4*i(g). Calculate r(4). 43 Let f be (-14)/(84/(-15))*-2. Let w(c) = 10*c + 26. Calculate w(f). -24 Let a(h) = -3*h - 5 + 4 - 9 + 4*h. Suppose -119*v = -110*v + 3240. Let q = v + 368. Calculate a(q). -2 Let x = 2496 + -2490. Let o(j) = -j**2 + 11*j - 30. Give o(x). 0 Suppose 2*c + 201 + 69 = -2*v, -v + 699 = -5*c. Let n = -130 - c. Let u(o) = -o + 18. Calculate u(n). 9 Suppose -87*i - 51*i = 690. Let a(t) = -t**3 - 6*t**2 + 3*t + 52. Determine a(i). 12 Let n(d) be the third derivative of -d**4/6 - 13*d**3/3 - 5*d**2 + 48*d. Let z = -20 + 13. Let t be n(z). Let j(v) = -3*v**3 - 2*v - 1. What is j(t)? -29 Suppose -3*q + 13 - 7 = 5*f, 3*f = 4*q - 37. Let a(m) = 19 + q*m + m - 22 + 0*m. Give a(3). 21 Let b(y) be the third derivative of 0 - 1/60*y**5 - 1/8*y**4 - 57*y + y**2 + 0*y**3. Calculate b(-1). 2 Let l(b) be the third derivative of -b**6/240 + b**5/15 - 169*b**4/24 + 27*b**2 + 2. Let j(n) be the second derivative of l(n). Calculate j(11). -25 Suppose -i + 6 = 4*d - 1, 3 = 2*d + i. Let x(h) = -5 + 8*h**2 - 2 - h**3 + d - 5*h. Suppose 0 = -5*c + 19 + 16. What is x(c)? 9 Let p(a) = -a**2 - 3*a - 4. Let s = 44 - 42. Let z be (-1)/((-1)/(-15)) + s. Let q(d) = -d**3 - 13*d**2 + d + 8. Let i be q(z). Calculate p(i). -14 Let j(y) = -2*y - 83. Let m(r) = -4*r - 83. Let c(i) = -6*j(i) + 5*m(i). Let p be c(10). Let x(t) = t**2 - 3*t + 3. Give x(p). 3 Let u(f) = f**2 - 8*f + 7. Let p(m) = -m - 4 + 4 + 0 + 5. Suppose -5*o = t - 5, t + 4*o - 4 = 2*t. Let k be p(t). Give u(k). -8 Suppose -9*i - 6*i = -975. Let q(w) = 57 - i - w**3 - 7*w**2 + 8*w + w. What is q(-8)? -16 Let v(u) = -4*u - 45. Let h = -35951 + 35938. Determine v(h). 7 Let k be (-30)/8*(-172)/215 + 14. Let d(u) = -u**3 + 16*u**2 + 14*u - 1. Give d(k). -52 Let i(u) = 4125*u + 2 + 4135*u - 8242*u. Calculate i(-2). -34 Let i(d) = 177 - 60 + 777*d - 1485*d + d**2 + 742*d. What is i(-4)? -3 Let w(x) = -x**2 - 24*x - 141. Let r be w(-12). Let q(u) = -u**3 + 4*u**2 + 34*u - 106. Determine q(r). 5 Let p be (450/750)/((-3)/(-65)). Let l(w) = -w**3 + 12*w**2 + 13*w - 1. Determine l(p). -1 Let q(g) be the third derivative of 0 - 1/24*g**4 + 0*g**3 + 0*g - 299*g**2. What is q(-4)? 4 Let z(a) = 48*a + 3068. Let r be z(-64). Suppose -10 = -5*w - 0. Let u(g) = g + 3 - w + 4. What is u(r)? 1 Let r(k) = k - 5. Let t = 876 - 874. Suppose -4*p + 8 = -t*s, 3*s - 3*p = -8*p - 1. Give r(s). -7 Suppose -v = -3*a - 9, 413*v - 4*a = 408*v + 144. Let f(q) = -q**2 + 45*q - 315. Give f(v). 9 Let t(c) = 22965*c**2 + 12 - 11484*c**2 - 11482*c**2 - 8*c. Let l = 0 + -9. What is
{ "pile_set_name": "DM Mathematics" }
*2 + 255*f - 9607. Determine n(46). 7 Let x(d) = d**3 + 49*d**2 + 27*d + 18. Determine x(-48). 1026 Let o(a) = -104*a - 2824. What is o(-27)? -16 Let r(c) = -7*c**2 + 30*c - 62. Calculate r(2). -30 Let u(y) = 16*y**2 + 3*y - 8. What is u(-2)? 50 Let x(d) = 7*d**2 - 80*d - 38. What is x(13)? 105 Let u(x) = 21*x - 2381. Give u(114). 13 Let h(x) = 21*x + 900. Calculate h(-40). 60 Let o(x) = 2*x**2 + 22*x + 10. Give o(-7). -46 Let i(q) = -1336*q - 3993. Give i(-3). 15 Let g(h) = -21*h**2 - 17*h + 3. Determine g(-6). -651 Let a(j) = -6029*j - 12052. Calculate a(-2). 6 Let o(d) = 10*d - 770. Give o(77). 0 Let k(t) = -4*t**3 - 3*t**2 - 4*t - 1. Calculate k(-2). 27 Let d(v) = -11*v + 183. What is d(15)? 18 Let s(j) = 10*j - 102. Give s(12). 18 Let v(u) = u**2 + 449*u + 3910. Give v(-9). -50 Let t(b) = 8*b**2 + 216*b + 83. Give t(-26). -125 Let j(s) = -7*s - 31. Give j(2). -45 Let j(d) = 35*d**3 + 3*d**2 - 27*d - 60. What is j(-2)? -274 Let q(t) = 6*t**2 - 5*t - 2. Determine q(1). -1 Let h(w) = -w**3 - w**2 + 35*w + 24. Calculate h(7). -123 Let u(z) = -z**3 + 9*z - 5. Calculate u(4). -33 Let w(t) = -t**2 - 139*t - 526. Determine w(-4). 14 Let i(u) = -u**3 + 2*u**2 + 10*u - 83. What is i(6)? -167 Let n(q) = 2*q**2 + 64. Calculate n(9). 226 Let g(r) = -8*r**2 + 38*r + 118. Calculate g(-3). -68 Let f(g) = -2*g**3 + 40*g**2 + 50*g + 33. Give f(21). 201 Let n(z) = -z**2 + z + 365. Determine n(17). 93 Let x(v) = 319*v + 3565. Calculate x(-11). 56 Let k(v) = 4*v**2 + 37*v + 33. Determine k(-1). 0 Let k(u) = -11*u - 119. Determine k(-11). 2 Let c(k) = 3*k**3 - 38*k**2 - 61*k + 49. Give c(14). -21 Let q(m) = 2*m**3 - 2*m**2 + 10*m - 27. Calculate q(3). 39 Let b(c) = 37*c**2 - 27*c - 88. Give b(-3). 326 Let t(x) = -x**2 - 33*x - 103. Determine t(-14). 163 Let o(u) = u**3 - 11*u**2 + 4*u - 29. Give o(7). -197 Let h(a) = 2*a**3 + 3*a**2 - 820*a - 18. What is h(-21)? 3 Let d(g) = -2*g - 16. What is d(-3)? -10 Let l(h) = 6*h**3 + h**2 + 2*h + 3. Give l(-1). -4 Let g(j) = 124*j - 367. Calculate g(3). 5 Let j(v) = -v**3 + 18*v**2 - 10*v - 60. Give j(17). 59 Let i(f) = -11*f**3 + 10. What is i(-2)? 98 Let u(r) = -1563*r - 40640. Determine u(-26). -2 Let j(v) = 2*v**2 - 2*v + 7. Calculate j(0). 7 Let z(r) = -135*r - 1072. Give z(-8). 8 Let o(z) = -90*z**3 + 3*z**2 + 21*z + 35. Calculate o(-2). 725 Let j(i) = 32922*i + 131683. Determine j(-4). -5 Let z(d) = -d**3 - 61*d**2 - 227*d + 44. Determine z(-57). -13 Let n(m) = -7*m**3 + 6*m - 15. Calculate n(3). -186 Let d(f) = 61*f - 1592. Give d(26). -6 Let h(d) = -2*d**2 + 522*d - 3569. Calculate h(7). -13 Let a(z) = -3*z - 46. Calculate a(-14). -4 Let j(p) = 2*p**3 + 9*p**2 + 7*p + 139. Determine j(-6). -11 Let g(f) = -f**2 + 89*f + 325. What is g(-4)? -47 Let r(i) = -8*i**2 + 122. Determine r(4). -6 Let v(n) = -786*n - 1567. Calculate v(-2). 5 Let k(n) = -n**2 - 134*n. Give k(0). 0 Let o(j) = j**3 - 19*j**2 + 96*j - 25. Calculate o(8). 39 Let d(y) = 18*y**2 - 775*y + 45. What is d(43)? 2 Let u(c) = -12*c**2 + 353*c - 137. Give u(29). 8 Let b(z) = 25*z**2 - 500*z + 34. Give b(20). 34 Let y(c) = -c**2 - 33*c + 1062. Calculate y(-53). 2 Let v(r) = -r**3 + 60*r**2 - 820*r + 34. What is v(39)? -5 Let k(t) = t**3 + 20*t**2 + 35*t - 54. Calculate k(-18). -36 Let o(j) = j**2 + 21*j - 341. Calculate o(13). 101 Let w(a) = a**2 - 62*a + 791. Determine w(18). -1 Let v(k) = 9*k - 1265. What is v(140)? -5 Let t(q) = q**3 + 7*q**2 - 117*q - 802. Give t(-11). 1 Let o(n) = 4*n**3 - 3*n**2 - 6*n - 9. Give o(-2). -41 Let w(l) = -l**3 - 34*l**2 - 51*l + 121. Determine w(-32). -295 Let v(x) = -2*x**3 + 9*x**2 - 503*x + 2551. Calculate v(5). 11 Let j(n) = -37*n**2 + 407*n - 5. Give j(11). -5 Let m(f) = -161*f**2 - 1291*f - 17. What is m(-8)? 7 Let j(t) = -t**3 + t**2 + 13*t - 44. Determine j(-6). 130 Let b(g) = g**3 + 30*g**2 - 9*g - 275. What is b(-30)? -5 Let h(i) = i**3 + 14*i**2 - 42*i - 72. What is h(-16)? 88 Let j(w) = 53*w + 1528. Give j(-29). -9 Let h(q) = -34*q**2 + 1573*q - 409. Determine h(46). 5 Let t(s) = s**2 - 24658. What is t(-157)? -9 Let q(z) = -z**3 + 67*z**2 - 9*z - 4. Calculate q(0). -4 Let t(y) = y**3 + 15*y**2 + 34*y + 102. Calculate t(-13). -2 Let a(s) = -590*s + 66676. Calculate a(113). 6 Let q(b) = -2*b**3 - 52*b**2 + 58*b + 314. Give q(-2). 6 Let k(q) = 2*q**2 + 327*q + 10801. Give k(-46). -9 Let b(l) = 49*l + 2646. What is b(-54)? 0 Let z(u) = -4*u**2 + 2*u - 4. Determine z(0). -4 Let p(v) = v**3 + 38*v**2 + 107*v + 48. Give p(-35). -22 Let q(i) = i**3 + 25*i**2 + 50*i + 45. Give q(-24). -579 Let b(u) = -2*u**2 + 63*u - 122. What is b(28)? 74 Let i(g) = -g + 19. What is i(-17)? 36 Let a(g) = -229*g**2 - 1150*g - 23. Give a(-5). 2 Let w(y) = -12*y**2 - 30*y + 4. Give w(-3). -14 Let z(p) = 8*p**2 + 9*p - 20. Give z(-5). 135 Let q(u) = -63*u + 8081. Determine q(128). 17 Let x(m) = -m**3 - 63*m**2 + 9720*m - 4. Determine x(-135). -4 Let n(y) = 2*y**3 + 12*y**2 + 2*y + 19. Give n(-6). 7 Let n(x) = x**3 - 152*x**2 - 147*x - 910. Give n(153). 8 Let g(q) = 162*q - 5995. Determine g(37). -1 Let s(o) = 933*o - 942. What is s(1)? -9 Let n(m) = 423*m - 29604. Calculate n(70). 6 Let n(q) = -q**3 - 24*q**2 + 58*q - 6. Determine n(-26). -162 Let z(b) = -822*b + 14820. Calculate z(18). 24 Let p(g) = 29*g**2 + 268*g + 22. What is p(-9)? -41 Let k(w) = -809*w - 7153. What is k(-9)? 128 Let v(w) = -w**3 - 26*w**2 - 49*w + 53. Give v(-24). 77 Let q(y) = 85*y - 682. What is q(7)? -87 Let f(m) = -6604*m + 33004. Determine f(5). -16 Let y(b) = b**3 - 22*b**2 - 149*b + 8. What is y(27)? -370 Let r(t) = -2*t**3 - 161*t**2 + 661*t + 27. Give r(4). -33 Let h(k) = -k**3 + 73*k**2 - 83*k + 793. Calculate h(72). 1 Let b(u) = -u**3 - 63*u**2 + 137*u - 217. What is b(-65)? -672 Let x(b) = b**2 + 58*b - 379. Give x(6). 5 Let t(r) = -567*r - 59539. Determine t(-105). -4 Let x(l) = 7721*l + 15448. Determine x(-2). 6 Let v(u) = 10*u**3 - 151*u**2 + 17*u - 46. Give v(15). -16 Let f(z) = 36*z - 729. Calculate f(17). -117 Let z(y) = 494*y + 15361. Determine z(-31). 47 Let f(x) = -x**3 + 7*x**2 + 22*x - 29. Calculate f(9). 7 Let q(g) = 2*g**3 - 38*g**2 + 19*g - 123. What is q(19)? 238 Let k(b) = 3*b**3 + 17*b**2 + 49*b + 208. Calculate k(-5). 13 Let f(z) = 51*z - 146. Determine f(7). 211 Let t(m) = m**3 + 81*m**2 + 168*m + 783. Calculate t(-79). -7 Let a(j) = 4*j**2 + 52*j - 61. Give a(-14). -5 Let g(c) = c**3 - 21*c**2 + 11*c + 521. Calculate g(19). 8 Let b(c) = -c**2 + 121*c + 204724. Give b(-396). -8 Let t(a) = 19*a**2 - 44*a - 271. Determine t(-5). 424 Let o(c) = -268*c - 104512. What is o(-390)? 8 Let j(t) = -2*t**2 + 315*t - 463. Give j(156). 5 Let l(q) = 2*q**3 + 2*q**2 - 44*q + 22. Determine l(5). 102 Let b(g) = -1798*g - 48546. Calculate b(-27). 0 Let h(t) = -t**3 - 107*t**2 + 216*t - 220. Calculate h(-109). -2 Let a(p) = -68*p - 5. What is a(1)? -73 Let b(h) = -h - 1120. Give b(44). -1164 Let z(b) = 9*b - 62. Calculate z(3). -35 Let m(k) = -3*k**2 - k + 57. Determine m(6). -57 Let v(o) = -54*o - 50. What is v(-2)? 58 Let r(g) = g**3 - 80*g**2 - 179*g + 1234. What is r(82)? 4 Let n(d) = 8*d**3 + 5*d**2 - 19*d - 52. What is n(-2)? -58 Let a(v) = 26*v**2 + 88*v - 68. Calculate a(-4). -4 Let r(p) = -16*p**2 + 35*p - 70. Calculate r(2). -64 Let n(m) = 81*m + 426. Give n(-7). -141 Let o(r) = r**3 - 59*r**2 + 449*r + 66. Calculate o(50). 16 Let a(h) = 75*h + 16. What is a(2)? 166 Let r(a) = a**2 - 12*a - 87. What is r(-4)? -23 Let i(w) = 353*w - 1426. Calculate i(4). -14 Let q(y) = -50*y + 3651. What is q(73)? 1 Let w(q) = 252*q + 3770. Give w(-15). -10 Let b(h) = -260*h + 4182. What is b(16)? 22 Let m(z) = 2*z**3 - 36*z**2 + 31*z + 65. What is m(17)? 14 Let c(b) = 2*b**3 - 34*b**2 + 20*b - 340. Give c(17). 0 Let d(l) = -88*l + 41. Calculate d(-5). 481 Let z(f) = f**3 + 35*f**2 + 34*f + 1086. Calculate z(-35). -104 Let z(h) = -5*h**3 - 4*h**2 + 14*h - 3. What is z(4)? -331 Let j(y) = y**2 - 107*y + 1565. What is j(21)? -241 Let v(y) = -y**2 - 40*y + 182. Determine v(-35). 357 Let c(o) = o**3 + 10*o**2 - 264*o + 83. Give c(-22). 83 Let i(u) = 1444*u + 11551. Calculate i(-8). -1 Let w(d) = -228*d + 5014. Give w(22). -2 Let r(n) = 26*n**2 - 14*n - 36. Determine r(-2). 96 Let c(p) = -299*p + 7535. Give c(24). 359 Let p(w) = -51*w + 1757. Calculate p(30)
{ "pile_set_name": "DM Mathematics" }
ple of 10? True Is 5/15 - 231/(-9) a multiple of 26? True Let s be (3/6)/((-6)/(-12)). Let p be (0/(-2) + 4)*1. Suppose -y + u = -p*u + 5, y - 3*u = -s. Is y a multiple of 4? False Let p = 174 + -120. Is p/8 - (-12)/(-16) a multiple of 6? True Let r(d) = 5*d**2 - 6*d + 2. Does 11 divide r(3)? False Suppose 5*q = -2*x + q + 164, -3*x + 256 = -4*q. Is 12 a factor of x? True Let w = 48 + -138. Does 15 divide (12/(-10))/(3/w)? False Suppose 5*z - 3*z = 58. Is z a multiple of 23? False Let k(g) = g - 6. Suppose x + 5*d + 10 + 2 = 0, 4*d + 24 = x. Is k(x) a multiple of 2? True Let b be -3 + (0 - -1) - 2. Let x = -2 - b. Does 11 divide 44/x + 0 - 0? True Suppose n = 2*z - 22, 9 - 3 = 3*n. Does 4 divide z? True Let t be 23/7 - (-10)/(-35). Suppose -2*l = -t*l + 2. Suppose -4 + 6 = l*q, 0 = -5*s + q + 49. Is s a multiple of 10? True Let w = -436 + 788. Is w a multiple of 44? True Let z(o) = -15*o + 4. Let w(u) = 15*u - 3. Let s(k) = -5*w(k) - 4*z(k). Let f be s(-2). Suppose 5*t + 3*g - 2*g - 53 = 0, -3*g + f = 2*t. Does 7 divide t? False Let w(t) = t**2 + 7*t + 3. Let o be w(-7). Suppose -p - 18 = -o*y, 5*p = -y + 1 + 5. Suppose -2*v - 132 = -y*v. Does 12 divide v? False Does 11 divide 21/1 - (3 + -1)? False Suppose -12*u + 201 + 39 = 0. Is u a multiple of 20? True Suppose -3*q + 934 - 142 = 0. Is 44 a factor of q? True Let v be 8 + -2 + (-2 - 0). Suppose 5*b - 321 = -4*x - 91, -232 = -4*x - v*b. Is x a multiple of 25? False Let w = 29 + -15. Is w even? True Let z be 1 - 0 - 2/2. Suppose 2*l = -3*a, z = -0*l + 3*l - 4*a. Suppose -2*x = -l*x - 2*k - 46, -3 = 3*k. Does 11 divide x? True Let h = 295 - 202. Let p = -4 + h. Suppose -3*v - c = -p, -2*v - 4*c + 63 = -7*c. Does 15 divide v? True Let u(v) = -v**2 - 6*v - 6. Let y be u(7). Let r = 137 + y. Is 12 a factor of r? False Suppose 0 = 3*k + 3 - 30. Let y = 26 - k. Does 17 divide y? True Let s(p) = p**3 + 4*p**2 - 6*p. Is s(-5) a multiple of 5? True Suppose 0 = 29*d - 27*d - 438. Is d a multiple of 13? False Let a(k) = -k**2 - 25*k. Is a(-12) a multiple of 39? True Suppose 5*a - 21 = -2*a. Suppose 0 = -4*p + a*p + 5. Is p a multiple of 5? True Suppose r - 12 = -r. Is 6 a factor of r? True Let r be 3/(-12) + 61/4. Suppose -k = -4*k + r. Suppose 3*j = -5*c + 83, -3*j + c = -k*j + 67. Does 15 divide j? False Let z(p) = p**2 + 2*p - 12. Let c be z(-5). Is 1 + 30 + c + -1 a multiple of 11? True Let a be ((-6)/4 + 1)*4. Suppose -13 - 7 = -2*g. Let r = g - a. Is r a multiple of 6? True Let q(m) be the first derivative of -m**4/4 + 4*m**3/3 + 3*m**2 - 1. Is q(5) a multiple of 5? True Let j = -32 + 19. Suppose 3*b - 5*b + 56 = 0. Let u = j + b. Is u a multiple of 6? False Let y be ((-10)/(-2))/(-2 - -3). Suppose -2*q + 2*t + 4 = -0*t, -4*t - 8 = 4*q. Suppose q = y*r + 5*x, 4*x = 3*r - 4*r - 15. Does 2 divide r? False Let l be (2951/39)/((-2)/(-6)). Suppose -5*z + 2*u - 6*u + 231 = 0, 0 = 5*z + 3*u - l. Is z a multiple of 9? False Let y(v) = -v**3 - 15*v**2 + 11*v - 10. Is 14 a factor of y(-16)? True Let x(u) = -13*u - 6. Does 26 divide x(-8)? False Suppose 117 + 69 = 4*w - z, 3*w + 2*z = 134. Let s be w/14 + (-6)/21. Suppose 85 = -d + 5*d + s*t, -5*d + 107 = 4*t. Does 10 divide d? False Let d be 294/8 + (-3)/4. Let r = d - 8. Does 14 divide r? True Suppose 672 = 9*v - 2*v. Is 19 a factor of v? False Let n = -54 + 66. Is n a multiple of 3? True Let t(y) = -y**3 - 6*y**2 - 7*y + 2. Let r be t(-5). Let s = -7 + r. Does 5 divide s? True Is (56/42)/((-2)/(-33)) a multiple of 11? True Suppose -4*m = 2*h - 23 - 31, -m - 9 = -4*h. Let r be ((-2)/(-4))/(2/(-4)). Let z = r + m. Does 7 divide z? False Let t(b) = 7*b - 31. Is t(11) a multiple of 30? False Let s(i) = i - 1. Let q be s(2). Let z = q + 3. Suppose z*j = 4*w + 96, 5*w - 56 = -5*j + 74. Does 9 divide j? False Let q = -1 - -17. Let j = q + 15. Does 20 divide j? False Let f be 3/(1 - 2) + 1. Is 7 a factor of 1/f*(-42 - 0)? True Let r(f) = f**3 - 6*f**2 - f - 2. Let c be ((-21)/(-9))/(2/6). Let k be r(c). Suppose -i = l - 15, -5*i + 5*l = -k - 65. Is 18 a factor of i? True Suppose 4*o = -2*c + 3*c - 67, 2*c - 3*o - 134 = 0. Suppose q - 47 = 2*b, q + 4*b - b - c = 0. Is q/3 - 2/6 a multiple of 18? True Suppose p - 3 = -3*c, -24 = 4*p - 2*p - 4*c. Let z(g) = 3*g**2 + 7*g + 0*g**2 - 2*g**2 + 9. Is z(p) a multiple of 3? True Let r(f) be the third derivative of -f**5/60 + 5*f**4/24 + 2*f**3/3 - 3*f**2. Is 5 a factor of r(3)? True Is 1*(-4)/(-8)*30 a multiple of 3? True Does 6 divide 1/4 + (-99)/(-4)? False Suppose 0*c - 2*c = 0. Suppose c*g + 30 = 3*g. Is 10 a factor of g? True Let o = -89 - -163. Is 20 a factor of o? False Let p = 24 - 13. Is 11 a factor of (p/3)/((-1)/(-3))? True Let g(p) = p**3 + 8*p**2 - 9*p + 12. Is 4 a factor of g(-9)? True Suppose 2*b = -0*b - 70. Let z = 58 + -83. Let p = z - b. Is 4 a factor of p? False Let d(l) = -7*l - 2. Let m be d(-4). Suppose -7*n - 71 = -442. Let j = n - m. Does 27 divide j? True Suppose 52 = 5*p - 203. Is 18 a factor of p? False Let r(q) = -3*q - 5. Let l be r(-7). Let j be (-4)/(-18) - l/(-9). Suppose -j - 46 = -3*d. Is d a multiple of 8? True Suppose f + 0*s - 16 = -4*s, s - 4 = -2*f. Suppose -2*k + f*o + 14 = 3*o, 13 = -3*k + 4*o. Does 8 divide (k + -2)/1*-8? True Let w(n) = -n**2 + 5*n - 4. Let p be w(3). Suppose p*m = -m + 33. Let x = m - 7. Does 4 divide x? True Let t = -15 + 20. Is t a multiple of 4? False Suppose 2*d = -6 + 32. Let z = -6 + d. Suppose -121 = -5*c + 2*h, -c - h = z - 27. Is c a multiple of 9? False Let x(c) = 2*c - 7. Is 5 a factor of x(16)? True Let q be (-5)/15 + (-64)/6. Let l(g) = g + 14. Is l(q) even? False Let v = -17 + 66. Is 4 a factor of (-1 + 0)/((-7)/v)? False Let f = -2 - -2. Let h be 5 - ((-3 - f) + 3). Suppose 0*w + 110 = h*w. Does 9 divide w? False Suppose -2*g + 128 = 4*k + 2*g, 2*k - 67 = g. Does 7 divide k? False Let i = 29 - 4. Does 6 divide i? False Let u(q) = -2. Let x(s) = -s - 1. Let l(v) = 4*u(v) - 3*x(v). Is 11 a factor of l(6)? False Suppose -3*i - 4*a + 104 = 0, i + 0*a - 24 = -4*a. Suppose -5*p = -p - i. Does 10 divide p? True Let a(o) = 3*o + o - 6*o - 3*o + 6. Let q be a(-5). Let d = q + -15. Is d a multiple of 7? False Suppose 4*a - 4*w - 16 = -0*w, -2*w + 7 = 3*a. Does 19 divide -2*(a + 0 + -22)? True Let p(n) = 15*n + 1. Let y be p(3). Let c = y - 19. Does 9 divide c? True Suppose -3*g + 451 = 4*k, g - 18 = -3*k + 319. Suppose k = 4*i + r + 3*r, 5*i - 3*r = 132. Does 9 divide i? True Let g(r) = -9*r - 1. Is g(-5) a multiple of 29? False Let v(j) = -4 - 2*j**2 - 2*j**2 + j - 2*j**3 - 3*j. Let n be v(-3). Let h = n + -9. Does 4 divide h? False Does 15 divide (-1820)/(-21) + 2/6? False Let p be 4/18 + 18808/(-72). Is 1/4 - p/12 a multiple of 11? True Suppose 5*x + 395 = 3*l, -l + 4*x = -81 - 53. Does 26 divide l? True Let k(w) = w**2 + 2*w + 1. Let t be k(-3). Let r = 9 - t. Suppose 5*b = 4*u - 34 + 153, 5*b - 155 = -r*u. Is 12 a factor of b? False Let d be 2/8 - (-1779)/(-12). Let v = d + 212. Suppose -2*l + 0*l = -v. Is 16 a factor of l? True Suppose -10 = 2*r, 3*f = 3*r + 1 - 40. Let k = f - -26. Is 8 a factor of k? True Let d(h) = 12*h - 106. Is 41 a factor of d(17)? False Let h(u) = u**3 + 8*u**2 + 0 - 2 + 2 + 5 + 6*u. Let f be h(-7). Suppose -2*t - f = -54. Is t a multiple of 7? True Let m(r) = 2*r - 4. Let c be m(6). Let t be (-2)/c + (-23)/4. Does 7 divide (-104)/t - (-2)/(-6)? False Let c be 8/44 + (-42)/(-11). Let p be (24/10)/(c/(-40)). Is ((-3)/(-4))/((-3)/p) a multiple of 3? True Let v be ((-3)/5)/((-6)/150). Suppose -3*q = -8*q + v. Suppose -2*x - b + 35 = -4, 5*b - 41 = -q*x. Does 11 divide x? True Let v = -8 - -80. Does 9 divide v? True Suppose -5*m + 71 = 2*t, 9*m - 4*m - 2 = t. Is t a multiple of 19? False Suppose h = 4*j + 11, 4*h - 6 = h + 3*j. Let d(k) = k**2 + 1. Let u be d(h). Is (21 - (u - 3))/2 a multiple of 8? False Suppose -4*r - 8 = -0*r. Let f(l) = -l + 2. Let y be f(r). Suppose -84 = -5*d - y. Is 8 a factor of d? True Let c be 2*114 + 6/(-3). Let p = c + -148. Does 26 divide p? True Let y(o) = 18*o**2 - o + 2. Let k be y(2). Suppose b = -b + k. Does 13 divide b? False Let k(a) be the first derivative of -a**4/4 - a**3 + 7*a**2/2 - a - 3. Is k(-5) a multiple of 7? True Suppose 0 = -l - 2*s - s - 1, -7 = -l + 5*s. Suppose -2*w - 5*g + 1
{ "pile_set_name": "DM Mathematics" }
j(i) = 105*i**4 - 50*i**3 - 90*i**2 + 35*i. Let q(h) = -2*j(h) - 15*k(h). Factor q(l). 5*l*(l - 1)*(l + 1)*(3*l - 1) Let v(b) be the first derivative of -75*b**3/4 - 15*b**2/2 - b - 1. Factor v(d). -(15*d + 2)**2/4 Let t(c) be the second derivative of -c**8/20160 + c**7/7560 - c**4/6 - 2*c. Let m(q) be the third derivative of t(q). What is l in m(l) = 0? 0, 1 Let h(u) be the third derivative of -u**7/70 + 3*u**6/20 - 9*u**5/20 + u**4/2 - 9*u**2. Suppose h(b) = 0. Calculate b. 0, 1, 4 Let i(k) be the third derivative of k**6/40 + k**5/4 - 3*k**4/4 - k**2 - 31*k. Suppose i(x) = 0. What is x? -6, 0, 1 Let n = 2 - -1. Suppose -n = -2*u + 1. Determine z, given that u*z**4 - 2*z**2 - 5*z**2 + 5*z**2 = 0. -1, 0, 1 Let z(b) be the first derivative of -5*b**4/4 + 15*b**2/2 + 10*b + 9. Factor z(s). -5*(s - 2)*(s + 1)**2 Let n = -1 - -8. Let k(z) = -13*z**5 - 8*z**4 - 5*z**3 - 5*z. Let q(f) = 19*f**5 + 12*f**4 + 7*f**3 + 7*f. Let u(h) = n*k(h) + 5*q(h). Factor u(m). 4*m**4*(m + 1) Let z = 5 - 0. Let t(r) = r - 3. Let y be t(z). Suppose 6*v - 2 + 2*v**2 + 4 - y*v = 0. What is v? -1 Let z be 8/(-14)*(-21)/54. Find m such that -2/9*m**3 + 2/9*m - 2/9*m**2 + z = 0. -1, 1 Let z be (3 - 0)*(-140)/(-30). Let i be 4/z + 38/14. What is w in 2/3*w**i + 0 - 4/3*w + 2/3*w**2 = 0? -2, 0, 1 Let z(i) be the second derivative of -i**4/6 - 2*i**3/3 + 8*i**2 + 6*i. Factor z(v). -2*(v - 2)*(v + 4) Factor 0 - 1/5*n**2 + 0*n - 1/5*n**3. -n**2*(n + 1)/5 Let x be (2/3)/((-12)/(-54)). Suppose x*w + 2 = -2*u, -2*u + 0*u = -w + 10. Solve 0 - 2/9*q**w + 4/9*q = 0. 0, 2 Suppose 2*u - u = 4*h - 2, 0 = -u - 5*h + 25. Factor -3*v**3 - v - 6 + u*v + 0*v. -3*(v - 1)**2*(v + 2) Let i(z) = -4*z**5 + 20*z**4 - 36*z**3 + 28*z**2 - 8*z + 6. Let r(k) = 1. Let m(p) = i(p) - 6*r(p). Suppose m(n) = 0. Calculate n. 0, 1, 2 Suppose 4*j - 24 = -4*y, -5*j + 20 = -y + 2. Suppose 2/5 + 2*w**4 + 4*w**y + 4*w**3 + 2*w + 2/5*w**5 = 0. Calculate w. -1 Let x(w) be the first derivative of -w**9/1512 + w**8/600 - w**7/1050 - 5*w**3/3 + 5. Let h(n) be the third derivative of x(n). Factor h(d). -2*d**3*(d - 1)*(5*d - 2)/5 Let j = 2 - -1. Factor -2*h**2 + j*h + 0 - h**2 + 0. -3*h*(h - 1) Let r(a) be the second derivative of 5*a**7/42 + 5*a**6/6 + 9*a**5/4 + 35*a**4/12 + 5*a**3/3 - 16*a. Factor r(d). 5*d*(d + 1)**3*(d + 2) Let y(w) be the first derivative of -3*w**3 + 27*w**2 - 81*w - 11. Let h(m) = 6*m**2 - 36*m + 54. Let g(f) = -8*h(f) - 5*y(f). Determine p so that g(p) = 0. 3 Let a(d) be the first derivative of 2*d**3/15 - 4*d**2/5 + 8*d/5 - 2. Find n such that a(n) = 0. 2 Let k(p) = -p + 12. Let i be k(13). Let u be (0 + 1 + i)/1. Find t such that u - 2/9*t**4 - 2/9*t**2 + 0*t + 4/9*t**3 = 0. 0, 1 Find j such that -8/7 - 2/7*j**2 + 8/7*j = 0. 2 Let g(o) = -o**2. Let j(t) = 2*t**3 - 2*t - 6. Let i(f) = 6*g(f) - j(f). Determine w so that i(w) = 0. -3, -1, 1 Factor 0*g**2 + 0 - 1/2*g + 1/2*g**3. g*(g - 1)*(g + 1)/2 Let m = -13 - -18. Suppose -5*q = m*l, -q = 3*l - 0*l - 6. Factor -2*v**3 + 4*v + 2*v**l - 2*v**3 + 2*v**2. -2*v*(v - 2)*(v + 1) Let z(x) be the second derivative of x**9/504 + x**8/420 + x**7/1260 - 3*x**3/2 + 4*x. Let t(k) be the second derivative of z(k). Solve t(f) = 0 for f. -1/3, 0 Let k(y) be the first derivative of y**6/480 + y**5/80 - y**3/6 - y**2 - 3. Let d(i) be the second derivative of k(i). What is u in d(u) = 0? -2, 1 Let q(f) be the third derivative of f**8/1680 - f**7/420 + f**5/60 - f**4/24 - 2*f**3/3 - 4*f**2. Let y(k) be the first derivative of q(k). Factor y(d). (d - 1)**3*(d + 1) Let a(u) be the first derivative of 0*u**4 - 2/65*u**5 + 0*u**2 - 2/13*u + 4/39*u**3 + 4. Factor a(c). -2*(c - 1)**2*(c + 1)**2/13 Suppose 0 = 6*r - 10*r + 8. Let t(h) = -2*h - 1. Let u be t(-2). What is o in -u*o + 3*o**2 - 3*o**r - 3*o**2 = 0? -1, 0 Let w(t) be the third derivative of -5*t**8/336 + t**6/12 - 5*t**4/24 + 5*t**2. Factor w(p). -5*p*(p - 1)**2*(p + 1)**2 Let v(o) be the first derivative of o**6/27 + 14*o**5/45 + o**4 + 40*o**3/27 + 8*o**2/9 + 3. Determine t so that v(t) = 0. -2, -1, 0 Let x = -2/15 - -4/5. Factor -2/3*r + 0 + 0*r**2 + x*r**3. 2*r*(r - 1)*(r + 1)/3 Let m(h) = 5*h + 5*h + h + 8 - 3*h + 6*h**2. Let q(v) = -11*v**2 - 16*v - 16. Let t be (3 + 1)*(0 + -1). Let c(k) = t*q(k) - 7*m(k). Factor c(n). 2*(n + 2)**2 Let b(q) be the first derivative of 100*q**3/3 + 60*q**2 + 36*q - 11. Find s, given that b(s) = 0. -3/5 Let g be 4/8*-4 + -5. Let s = 7 + g. Solve -1/5*n**3 + s - 4/5*n**2 + 4/5*n**4 + 1/5*n = 0 for n. -1, 0, 1/4, 1 Let m(a) be the second derivative of 1/12*a**4 + a + 1/60*a**5 + 0*a**2 + 0 + 1/9*a**3. What is d in m(d) = 0? -2, -1, 0 Suppose 0*n - 5*n = -25. Determine x so that 0*x + 4*x - 5*x + n*x + 2*x**2 = 0. -2, 0 Suppose -11*y - 6 = -13*y. Let p(f) be the second derivative of 0 + f + 0*f**2 + 1/105*f**6 - 1/42*f**4 + 1/21*f**y - 1/70*f**5. Determine d so that p(d) = 0. -1, 0, 1 Let l = 51/305 + 2/61. Factor -1/5*f**5 + 2/5*f**4 + l*f + 0 - 2/5*f**2 + 0*f**3. -f*(f - 1)**3*(f + 1)/5 Suppose 0 = 2*n + n. Let j = 479 + -479. Factor j*y**3 - 2/9*y**4 + 2/9*y**2 + n*y + 0. -2*y**2*(y - 1)*(y + 1)/9 Let d(w) = -2*w**2 - 5*w. Let f(p) = 0 - 2 + p + 2. Let r(k) = 2*d(k) + 6*f(k). Factor r(m). -4*m*(m + 1) Determine s, given that 2/7*s**2 + 32/7 + 16/7*s = 0. -4 Let a(g) be the second derivative of -g**7/294 - g**6/105 + g**4/42 + g**3/42 + 30*g. Find z, given that a(z) = 0. -1, 0, 1 Factor -50 + 50 + 3*w**2 - 3*w. 3*w*(w - 1) Let n be 364/(-189) - -2*1. Let p = n + 23/54. Factor 1/4*k**2 + 1/4 + p*k. (k + 1)**2/4 Let z(i) be the second derivative of -i**5/70 - i**4/42 + 2*i**3/21 - 2*i. Determine j, given that z(j) = 0. -2, 0, 1 Let u be 27/15 - 3/(-15). Suppose -o**4 - 2*o - 2*o**3 - o**5 + 2*o**u + 5*o + 1 - 2*o**4 = 0. Calculate o. -1, 1 Suppose 0 = 2*b - 5*o + 4 + 3, -2*b - 4*o + 20 = 0. Let 4/5*c + 6/5*c**2 + 0 - 16/5*c**3 + 6/5*c**b = 0. Calculate c. -1/3, 0, 1, 2 Let k be 18/(-27) - (-8)/3. Factor -8/5*z**k + 0 + 2/5*z**3 + 6/5*z. 2*z*(z - 3)*(z - 1)/5 Let l(u) be the third derivative of -u**7/105 + u**5/10 + u**4/6 + 9*u**2. Solve l(d) = 0. -1, 0, 2 Let f(g) be the first derivative of -g**6/120 + g**5/40 - g**4/48 - g - 2. Let t(n) be the first derivative of f(n). Let t(c) = 0. Calculate c. 0, 1 Let m be (1008/(-490) + 2)/((-2)/40). Factor 12/7*t**2 + 2/7*t**4 - 16/7 - m*t + 10/7*t**3. 2*(t - 1)*(t + 2)**3/7 Let i(r) be the third derivative of -r**5/240 - r**4/48 + 2*r**2. Factor i(d). -d*(d + 2)/4 Let g(d) be the second derivative of -d**6/120 - d**5/20 - d**4/8 + d**3 - 9*d. Let z(j) be the second derivative of g(j). Solve z(u) = 0 for u. -1 Let w(l) be the second derivative of -2*l**7/147 + 4*l**5/35 - 2*l**4/21 - 2*l**3/7 + 4*l**2/7 - 8*l. Determine n so that w(n) = 0. -2, -1, 1 Solve 2*b - 2*b**5 - 2*b**2 + b**5 - b + 2*b**4 = 0. -1, 0, 1 Let p(j) be the first derivative of -3/8*j**4 + 0*j**2 - 3 + 0*j - 1/3*j**3 - 1/10*j**5. What is t in p(t) = 0? -2, -1, 0 Let z(d) be the first derivative of 3*d**4/4 + d**3 + 27. Factor z(j). 3*j**2*(j + 1) Let n(u) be the first derivative of u**6/30 - 3*u**5/25 - u**4/5 + 6. Suppose n(f) = 0. Calculate f. -1, 0, 4 Determine l, given that 16*l + 106*l**3 + 16*l**2 - 110*l**3 - 2*l**4 - 2*l**4 = 0. -2, -1, 0, 2 Let h(i) be the first derivative of 3*i**5/5 - 3*i**4/2 - 3*i**3 + 12*i**2 - 12*i - 5. Factor h(l). 3*(l - 2)*(l - 1)**2*(l + 2) Let q(m) be the second derivative of m**7/42 + m**6/30 + 9*m. Determine h so that q(h) = 0. -1, 0 Let q(p) be the third derivative of -4*p**5/15 - 5*p**4/2 + 8*p**3/3 - 14*p**2. Factor q(y). -4*(y + 4)*(4*y - 1) Let b = 1 - -9. Factor 3*j**2 - 2*j + 26*j**3 + 4*j**2 + b*j**4 + 1 - 5 + 11*j**2. 2*(j + 1)**3*(5*j - 2) Let t(q) be the second derivative of -q**6/150 + 3*q**5/100 - q**4/20 + q**3/30 + 3*q. Suppose t(w) = 0. What is w? 0, 1 Suppose 2*y - 37 = -5*z, 0 = 2*y - 5*y + z + 47. Suppose -2*w = -0*w - y. Factor -1 + w*x**3 + 2*x**2 - 1 - 7*x - x. 2*(x - 1)*(x + 1)*(4*x + 1) Let s be -5 + 2 + (-39)/(-9). Let h(u) be the first derivative of -1 + 8/3*u + 2/9*u**3 - s*u**2. Factor h(n). 2*(n - 2)**2/3 Let n = 10 + -7. Suppose -2*c + n*t + t = -20, -2*t - 8 = 0. Factor 4*g**2 - 2*g**2 + c*g - g**2. g*(g + 2) Factor -4*q**2 - 4*q - 8*q**3 + 2*q**5 + 4*q + 6*q + 4. 2*(q - 2)*(q - 1)*(q + 1)*
{ "pile_set_name": "DM Mathematics" }
= -8. Solve 2*r + 6 = g*m, m - 2*r = -2*m + 10 for m. 4 Let v(z) = 10*z - 1. Let s be v(7). Let b = s - 42. Let m = 49 - b. Solve 4*n + 2*w + m = 0, 5*n + 23 = 4*w - 2*w for n. -5 Suppose 7*f = 2*f + 5. Let w = 6 - f. Suppose z + 3*z - 53 = -5*d, -w*d = -z - 43. Solve 3*y = -d, 4*v - y + 1 = -4*y for v. 2 Suppose 2*s - 3*o - 7 = -2*s, 0 = s + 3*o - 13. Suppose 0*v = 3*v + 12. Let r be ((-40)/14)/(v/14). Solve -7 = 4*w + 3*h - 0, r = -5*w - s*h for w. 2 Let s = 7 - 12. Let m = s - -8. Solve 0 = -4*l + 3*j - 1 - 3, 5*l - 22 = -m*j for l. 2 Let t be 414/54*(3 - 0). Solve 1 = 3*c - 2*d + t, 5*d = 25 for c. -4 Let c(p) = 3*p**3 - 2*p**2 - 2*p - 1. Let d be c(-1). Let r = -4 - d. Solve o - 19 = 5*f, -o - 5*f - 3 - 8 = r for o. 4 Let p(u) = 15*u + 32. Let b be p(-2). Suppose 115 - 43 = -4*h. Let a be (-1)/(-1 - 0) - h. Solve d + 1 = -b*n, -d + 3*n + a = d for d. 5 Let c be ((-8)/3)/((-10)/15). Suppose 2*i - 3*a + 24 = 3*i, -i = -c*a - 59. Solve -4*x + 20 = 0, 5*x + 8 = 2*p + i for p. -3 Let i = 9 + 31. Suppose -4*j + 168 = i. Solve -p - 3*x = x + 16, 4*x = 3*p - j for p. 4 Let o(b) = -b**2 + 24*b - 40. Let r be o(22). Solve -5*t + x - 2 + 1 = 0, -r*t + 5*x + 16 = 0 for t. -1 Let y(b) = -3*b + 7. Let c be y(-6). Suppose 0 = 2*l - 8, 0*l - 116 = -4*j - 5*l. Solve -5*d + q = j, 9*q + c = -4*d + 4*q for d. -5 Let d = 17 - 14. Solve -4 + d = -y - v, -12 = 4*v for y. 4 Suppose -2*z + 25 = 3*z. Let k be 8/36 + (-176)/(-18). Let v be k*2/(-12)*-3. Solve -5*x - z = -p, -v*x = 2*p - x - 10 for p. 5 Suppose -2*j = -3*g - 29, -2*j - 2*g = -j - 25. Solve -6 = 3*r + 5*h - 3, -r = -5*h - j for r. 4 Suppose y - 4*y + 6 = 0. Suppose -2*o + 73 = t, -y*o + 2*t = -o - 24. Suppose -7 + o = 3*j. Solve 4*v = -5*p - 15, 3*v - v + p + j = 0 for v. -5 Let r be 5*((-6)/(-15) + 0). Solve -2*v - 3*v = 2*p - r, -2*v + 2*p = 2 for v. 0 Let c(z) = z**3 - z + 4. Let n be c(0). Solve -14 = -5*m - n*q, 4*m + 0*q - 7 = q for m. 2 Suppose -2*x + 14 = d, 2*d + 4 = 3*d - 3*x. Let o = 0 - 0. Suppose o = 7*m - 2*m - 20. Solve -u + 6*q - 4 = m*q, 5*q = d for u. 0 Let g(k) = -7*k - 4. Let m(c) = -20*c - 13. Let p(t) = 17*g(t) - 6*m(t). Let b be p(-7). Solve -b*n = n - 2*z - 14, 4*n + 4*z = 20 for n. 4 Suppose 4*t + 100 = 9*t. Let v be (-1)/(-4) - 5/t. Solve 2*f + 5*l + 5 + 14 = v, -2*f + 1 = l for f. 3 Let p(s) = s**3 + s**2 - 4*s - 3. Let n be p(-2). Solve -3*f + 1 = -y - 0*y, -y = 4*f + n for f. 0 Let t(d) = -d**3 - 3*d**2 + 3*d - 2. Let r be t(-4). Let g be (r/7)/((-3)/(-21)). Solve 4*f - g - 14 = m, -f = 4*m + 13 for m. -4 Let s be (0 + 6/(-3))/(-1). Let y be s/6 - (-72)/27. Solve 2*h + 3*h - 19 = 2*w, y*h = 5*w for w. 3 Let c = 30 - 16. Solve -3*d - c = -5*h, 3*d - h = -2*h - 8 for d. -3 Let m be (0 + (-5 - -2))/((-6)/20). Solve -4*p = -2*k + m, -4*p + k - 3 = 12 for p. -5 Let k(p) = -p**3 - 7*p**2 - 8*p - 9. Let s be k(-6). Suppose s*v + 5 = 4*v. Suppose -v*x + 95 = 5. Solve t - 6 = 4*t, 2*f - 4*t = x for f. 5 Let w = 4 - 1. Let m be (w + -2)*(1 + 0). Solve -2 = -3*k + 5*q, m = -5*q - 4 for k. -1 Suppose 5*w + 0*w = 20. Let x be w - (-1)/((-3)/6). Let r(m) = m**2 - m - 4. Let q be r(3). Solve x*t + q + 6 = 3*c, 2*t + 6 = 2*c for t. -1 Suppose -2*d - 2*d = 4. Let b = d + -1. Let v be ((-15)/(-9) + b)*-15. Solve -x + 8 = -v*p, -5*x - 3*p - 2*p + 10 = 0 for x. 3 Let v(h) = -h**2 + 5*h + 8. Suppose 3*z = 6*z - 18. Let t be v(z). Solve 0 = t*d + 3*o + 6, -2*d + 17 = d - 2*o for d. 3 Let v = -6 + 14. Let g = v - 2. Let s = g - 3. Solve 0 = -2*r - 4*z + 10, 4*z + 5 = 4*r - s for r. 3 Suppose 5*a + 16 = 1. Suppose -12 = -2*v + g + 2*g, 3*g + 30 = 5*v. Let z be 1/(a/v) - -3. Solve i + z = 2*q, -q = -5*i + 4*i for i. 1 Let d be 2/2*(9 + -4). Solve 3*b + d*h + 14 = 0, -3*b + 4*h + 10 = -6*b for b. 2 Let q(d) = -11*d + 1. Let s be q(-1). Let p be (-1 - -4) + 3 + 1. Let o = -3 + p. Solve -24 = -i + o*b, 2*i - 6 - s = 2*b for i. 4 Let h(f) = -f**3 - 5*f**2 - 2*f - 6. Let j be h(-5). Let q be ((-6)/j)/((-1)/(-2)). Let a be (14/4 + q)*6. Solve 3*i - 3*l - 27 = 0, a*i - 3 = -5*l + 2*l for i. 5 Suppose -3*f = -2*k - 32, -56 = -f - 4*f + 2*k. Solve 0 = 2*r - 5*r - f, 0 = -2*b - 3*r - 10 for b. 1 Suppose -3*z - 2 = 3*w + 4, 5*w + 10 = 3*z. Solve 3*p - 4*t + 5 = -0*p, -3*p + 3*t = z for p. 5 Let b = -108 + 66. Let n = -64 - b. Let m = 23 - n. Solve k - m = 6*k - 5*u, 21 = -4*k + u for k. -4 Let c be 18/4*(-16)/(-24) + 2. Solve -3*y = c*u, u = -5*y - 4*u + 10 for y. 5 Let z = -4 + 7. Let h(f) = 0*f**2 - f**2 + 2*f**z + 1 - f**2. Let b be h(1). Solve -o - 2*p - 3 + 2 = 0, 0 = o + p + b for o. -1 Suppose -5*g - 15 = -t, 2*g - 19 = -5*t - g. Solve -5*x - 4 = -3*k, t*k - 5*x - 9 = 1 for k. 3 Suppose -2*j - 5*i = -28 - 4, -12 = -2*j + 5*i. Let x be (-1)/4 - 33/(-4). Let f = 12 - x. Solve -5*g - j = -o, -4*g + 8 = -f*o - o for g. -3 Let a = -4 - -4. Suppose a = 3*m - 0 - 6. Suppose -8 = -0*g - 4*g. Solve 3*d = 2*d + g*o + 5, m*o = -d + 5 for d. 5 Suppose 4*r = r + 9. Solve 2 = -g - r*h, -g - 5*h = -1 + 5 for g. 1 Let n(w) be the first derivative of -11/2*w**2 - 2 + 8*w - 1/3*w**3. Let u be n(-11). Solve 0*l = -4*l - 5*z + u, 0 = 2*l - 2*z - 4 for l. 2 Let m = 8 + -6. Suppose -5*v + m = -8. Solve 4*x + 5*z = -15, v*x - 3*z + 0*z - 9 = 0 for x. 0 Let c(y) = y**3 - 2*y**2 - y + 22. Let x be c(0). Suppose -x*a + 18*a = -16. Solve -3*n - 2*f - 3*f + 7 = 0, 0 = -2*n - a*f + 4 for n. 4 Suppose 0 = -2*o - 0 + 2. Let y be (o/1)/(1/4). Let u be ((-7)/4)/(y/(-16)). Solve 3*x = 12, 3*s + 3*x - u*x + 28 = 0 for s. -4 Let n = 15 + -13. Solve 0 = -4*c - 3*a + 10, -3*a - n = -4*c - 2*a for c. 1 Let r = 60 + -58. Solve -5*c = -r*b + 5*b - 6, 5*b + c - 10 = 0 for b. 2 Suppose a - 4 = -3*a. Let m be (2 - 2) + a - -2. Solve -4 = 4*x - h - m*h, 21 = -x - 4*h for x. -5 Let x(i) = -i**3 + 10*i**2 - 7*i - 18. Let a be x(9). Solve 17 = t - a*t - 3*j, -3*t + j = -19 for t. 5 Let m(z) = z - 2. Let v be m(-2). Let u be (-3)/10*v*5. Solve -4*a + u + 7 = t, 5 = -a - 3*t for a. 4 Suppose 4*m = 5*m - 2. Suppose 2*t - 8 = -m*t. Let a(c) = 2*c**3 - c + 1. Let o be a(1). Solve -o*d = 5*n + 35, -t*d + n = -0*d + 5 for d. -5 Let k(n) = -n**3 - 2*n - 1. Let m(z) = -6*z**3 - 11*z - 6. Let y(s) = 11*k(s) - 2*m(s). Let x be y(1). Solve -4*t + 2*i = 8 + 4, t - 3*i = x for t. -4 Suppose 6*f - 3*f = 0. Suppose -2*r - 3*t - 21 = f, 8*t = 3*t - 5. Let k(x) = x + 11. Let z be k(r). Solve -4*u = -3*n - 8 + 25, z*n + 2*u - 2 = 0 for n. 3 Suppose 4 = 2*b - b. Solve 2*h + 8 = 6*r - 3*r, -h = r + b for r. 0 Let q = 158 + -158. Solve q = 4*j + j + 2*o + 17, 4*j = 5*o - 7 for j. -3 Let z(b) = -b**2 + 5*b + 26. Let p be z(8). Suppose 5*m = 0, m + m + 12 = -2*t. Let a be 10/t*(0 - 3). Solve q - 3*j = a*q + 22, -p*q = -5*j - 2 for q. -4 Let z = 30 - 28. Suppose -17 - 1 = -2*r - t, -r = -z*t - 14. Solve 5*h + r = j, -2*j + 1 = -5*h - 4 for j. -5 Suppose 15 = -b + 6*b, b = 5*t - 62. Solve 15 = u + 4*u, 4*u - t = -l for l. 1 Let h(m) = m**3 - 7*m**2 + 7*m - 3. Let y be 2/9 - (-312)/54. Let s be h(y). Suppose 2*c = 3*c - 3. Solve s*a - 3*q + c = 0, -2*q + q = 4*a + 24 for a. -5 Suppose -m - 46 + 184 = 4*c, 0 = -c - 5*m + 44. Suppose 5*p - c = -14. Solve -p*g = k - 20, 4*k = 3*k for g. 5 Suppose 4*g = -12, 4*g - 12 = -2*m + 4. Solve 5*v = d + v + m, -v + 12 = 4*d for d. 2 Suppose 3*d = 3*g - 3, -g = 2*d - 2 - 2. Solve -3 = 3*n + g*s - 5*s, 8 = 2*s for n. 3 Let y be 4/18 - 610/(-90). Let v = y + -3. Solve -4*n = -2*p - 0*n + v, 2*p - 3*n - 5 = 0 for p. 4 Let d = 21 - 17. Solve -w + 3*k - 5*k - d = 0, 5*w - 2*k = 16 for w. 2 Let w(s) = s**2 + 12*s + 27. Let a be w(-9). Solve -1 = 3*y + 2*i - 10, i - 3 = a for y. 1 Let f = 7 - 7. Solve -16 = -4*w, 0 = -4*i - f*i - 2*w for i. -2 Let d(b) = b**3 - b**2 - 3*b - 2. Let h be d(-2). Let t be (-185)/(-20) + 2/h. Let c be (8/(-12))/((-2)/t). Solve c*r = 3*p + r + 15, 2*r + 6 = -4*p for p. -3 Suppose 2*j + 10 = -4*d, 2*d = -3*j + 2 + 3. Suppose -2*r - r = -75. Let y be -5 + 0 + 1 - -4. Solve y = -9*z + 4*z - 5*n + 30, 4*z + j*n = r for z. 5 Let c = -260 + 263. Let p = 19 + -3. Solve c*u - 1 = -t, -3*u + t + p = -t for u. 2 Let c(b) = -b**3 - 6*b**2 - 2*b - 7. Let h be c(-6). Let a(i) = 3*i**2 - 6*i - 4. Let j be a(4). Solve 2*v + v - 5*f = j, 0 = -h*f - 20 for v. 0 Let m(d) = d**3 + 3*d**2 + 2*d + 2. Let f be m(-2). Solve 4 = f*u
{ "pile_set_name": "DM Mathematics" }
(f + 1)*(f + 4)/5 Let s(k) be the first derivative of -k**5 - 25*k**4/2 + 85*k**3 - 170*k**2 + 140*k - 446. Determine d, given that s(d) = 0. -14, 1, 2 Let i = 21124 - 21122. Factor -3 - 9/2*k + 0*k**i + 3/2*k**3. 3*(k - 2)*(k + 1)**2/2 Let r(o) = 49*o**3 - 6*o**2 - 49*o + 10. Let g(c) = 540*c**3 - 65*c**2 - 540*c + 110. Let i = -94 + 98. Let u(m) = i*g(m) - 45*r(m). What is t in u(t) = 0? -1, 2/9, 1 Let m(i) be the second derivative of i**4/30 + i**3 + 14*i**2/5 - 43*i. Find p such that m(p) = 0. -14, -1 Let z(o) be the third derivative of -1/70*o**7 - 34*o**2 - 1/40*o**6 + 0 + 0*o + 1/4*o**5 + 0*o**3 - 3/8*o**4. Solve z(c) = 0. -3, 0, 1 Let f(q) = -q**2 - 28*q + 48. Let z(c) = -3*c**2 - 54*c + 94. Let v(y) = -13*f(y) + 6*z(y). Determine s, given that v(s) = 0. 2, 6 Let t be 8 - (-1936)/(-240) - (-7)/30. Factor -t - 1/6*n**2 + 1/3*n. -(n - 1)**2/6 Let b(q) be the third derivative of q**7/336 - 5*q**6/144 + q**5/8 - 7*q**3/3 - 30*q**2. Let u(s) be the first derivative of b(s). Factor u(t). 5*t*(t - 3)*(t - 2)/2 Let q(l) = 2*l**3 + 64*l**2 - 66*l + 2. Let a be q(-33). Let u(d) be the first derivative of 0*d**a + 1 + 0*d - 1/6*d**3. Factor u(k). -k**2/2 Suppose 7*k + 590 = 590. Determine b, given that 0 + 3/2*b**3 + k*b + 3*b**2 = 0. -2, 0 Let c(h) be the third derivative of 0*h**4 + 0 + 2/105*h**7 + 12*h**2 + 0*h**5 + 0*h - 1/168*h**8 + 0*h**6 + 0*h**3. Factor c(o). -2*o**4*(o - 2) Let u(q) be the first derivative of q**5 + 25*q**4/2 + 55*q**3 + 110*q**2 + 100*q + 85. Factor u(a). 5*(a + 1)*(a + 2)**2*(a + 5) Suppose n = 2*w - 0*n - 11, -n - 17 = -4*w. Factor 7*d**2 - d**2 - 4*d + 2*d + 2*d**w - 6. 2*(d - 1)*(d + 1)*(d + 3) Let j be (-11)/(-132) - 2/(-3). Let a(z) = -z**3 - 30*z**2 - 190*z - 18. Let h be a(-21). Factor 9/4*b**2 + 0 + j*b**h + 3/2*b. 3*b*(b + 1)*(b + 2)/4 Let k be (207/(-1932))/(6/(-16)). Factor -4/7 + 2/7*z**2 + k*z. 2*(z - 1)*(z + 2)/7 Let a(j) be the first derivative of j**4/36 + j**3/18 + 29*j - 9. Let p(t) be the first derivative of a(t). Find y such that p(y) = 0. -1, 0 Let o(n) be the third derivative of n**8/2016 + 11*n**7/1260 + 3*n**6/80 + 5*n**5/72 + n**4/18 + 146*n**2. Factor o(w). w*(w + 1)**3*(w + 8)/6 Let q(w) be the first derivative of 6*w**2 + 4/3*w**3 - 40*w + 25. Factor q(n). 4*(n - 2)*(n + 5) Let u = -2 + 5. Let k be u + (4 + -3)/(2/(-2)). Solve 1/3*a**k - 1/3*a - 2/3 = 0. -1, 2 Let a = -178 - -178. Let b(q) be the third derivative of 0 + a*q + 6*q**2 + 1/14*q**4 + 1/21*q**3 + 1/42*q**5. Solve b(c) = 0. -1, -1/5 Let x = 1267 + -21515/17. Find b, given that x*b + 2/17*b**2 + 72/17 = 0. -6 Let a = 7555 - 7552. Find l such that 9/7*l**a + 6/7*l**2 + 3/7*l**4 + 0 + 0*l = 0. -2, -1, 0 Let d(y) be the third derivative of -y**7/2520 - y**6/540 + y**5/90 + y**4/9 + 5*y**3/3 + y**2. Let x(k) be the first derivative of d(k). Factor x(m). -(m - 2)*(m + 2)**2/3 Let j(v) be the third derivative of -v**8/840 + v**7/420 + v**6/90 + 8*v**3/3 + 8*v**2. Let l(h) be the first derivative of j(h). Factor l(i). -2*i**2*(i - 2)*(i + 1) Suppose 3*h + 10 = -2*r, -11*h - 25 = -9*h + 5*r. Factor 2/9*w**2 + 8/9*w**3 + 0*w + h. 2*w**2*(4*w + 1)/9 Determine i so that 110/9*i + 14/3*i**3 - 38/3*i**2 - 4 - 2/9*i**4 = 0. 1, 18 Let g(j) be the first derivative of -1/20*j**4 + 2/5*j**2 + 2 - 8/5*j + 2/15*j**3. Factor g(o). -(o - 2)**2*(o + 2)/5 Factor 33*a**4 + 27*a**2 + 245*a - 28*a**3 - 17*a**3 + 150 + 18*a**2 - 28*a**4. 5*(a - 6)*(a - 5)*(a + 1)**2 Let d = 18 - 14. Suppose -r + 3 = 0, -h - 3*h - d*r = -240. Solve -18*u + h*u - 292*u**3 + 41*u - 40*u**5 + 88*u**2 + 196*u**4 - 32 = 0 for u. -1/2, 2/5, 1, 2 Let m = 90 - 42. Suppose 2*t - m*t**4 + 21*t**4 + 26*t**4 + 6*t**2 - 3*t**2 = 0. Calculate t. -1, 0, 2 Let o(u) be the first derivative of 3*u**4/4 - 156*u**3 + 12168*u**2 - 421824*u - 239. Factor o(l). 3*(l - 52)**3 Solve i**3 - 3*i**4 + 6*i**4 + i**4 - 12*i**2 - 46*i**3 - 2*i**3 = 0. -1/4, 0, 12 Let j(h) be the second derivative of h**5/130 + h**4/78 - 2*h**3/13 - 9*h - 3. What is y in j(y) = 0? -3, 0, 2 Let g = -120/67 + 628/201. Factor 2/5*o**4 + g*o**3 + 4/5*o + 8/5*o**2 + 2/15. 2*(o + 1)**3*(3*o + 1)/15 Let m(c) be the third derivative of -c**7/2310 - c**6/1320 + 3*c**5/220 + 3*c**4/88 + 44*c**2. Factor m(k). -k*(k - 3)*(k + 1)*(k + 3)/11 Let o(v) = v**3 - 3*v**2 + 4. Let c be o(3). Let x(s) = -4*s**4 + 3*s**2 + 11*s. Let u(m) = 5*m**4 - 2*m**2 - 12*m + 1. Let j(t) = c*x(t) + 3*u(t). Factor j(a). -(a - 3)*(a + 1)**3 Let v be ((81/4)/(-3))/((-2275)/(-156) + -15). Factor -972/5*r - 24/5*r**5 - v*r**2 + 36/5*r**4 + 54*r**3 - 729/5. -3*(r - 3)**2*(2*r + 3)**3/5 Suppose 23*i = 28*i. Let c be (-1)/(i + -1) - -4. Find l such that -3*l - 6*l**4 + 7*l - 3*l**c - l + 6*l**2 = 0. -1, 0, 1 Let d be 2/(-39) + 7826/14196. What is t in 0*t - 1/8*t**3 + 3/8*t**2 - d = 0? -1, 2 Let z(c) be the second derivative of 1/3*c**4 - 1/3*c**3 - 29*c + 0 + 0*c**2 + 1/60*c**6 - 1/8*c**5. Solve z(t) = 0. 0, 1, 2 Factor -9*h**2 + 3*h**3 + 3*h**4 + 3*h**2 + 0*h**4 - 9*h + 9*h. 3*h**2*(h - 1)*(h + 2) Let r(g) be the second derivative of g**8/560 - g**7/70 + g**6/40 + g**5/10 - g**4/2 - 16*g**3/3 - 3*g. Let a(f) be the second derivative of r(f). Factor a(w). 3*(w - 2)**2*(w - 1)*(w + 1) Let t(d) be the third derivative of -d**9/4536 - d**8/1008 - d**7/630 - d**6/1080 + 2*d**3/3 + 13*d**2. Let p(a) be the first derivative of t(a). Factor p(j). -j**2*(j + 1)**2*(2*j + 1)/3 Suppose -5*b + 10 = -n, -4*b - 87*n + 91*n + 8 = 0. Factor 0 + 1/2*h**2 + 3/2*h**4 + 0*h - b*h**3. h**2*(h - 1)*(3*h - 1)/2 Suppose 5313 - 5301 = 6*c. Find k such that 0 - 3/2*k**c + 3/2*k = 0. 0, 1 Let m(k) be the second derivative of -1/150*k**5 - 13*k + 0*k**2 + 1/90*k**4 + 0*k**3 + 1/315*k**7 - 1/225*k**6 + 0. Factor m(i). 2*i**2*(i - 1)**2*(i + 1)/15 Suppose -2*m = 2*l - 4, -5*m + 91*l - 94*l + 10 = 0. Solve 2/3*s**5 + 2/3*s**2 + 0 + m*s**3 + 2*s**4 + 0*s = 0 for s. -1, 0 Factor -1/2*n**3 + 1/2*n**2 + 1/2*n - 1/2. -(n - 1)**2*(n + 1)/2 Let i(l) = -35*l**3 + 35*l**2 + 75*l. Let o(w) = -3*w**3 + 3*w**2 + 6*w. Let k(r) = -2*i(r) + 25*o(r). What is m in k(m) = 0? 0, 1 Let y(s) be the second derivative of -s**5/20 + 5*s**4/6 - 16*s**3/3 + 16*s**2 + 464*s. Factor y(b). -(b - 4)**2*(b - 2) Let u(o) = o**2 + 65*o - 29. Let q(m) = -32*m + 14. Let s(d) = d**2 - 12*d - 15. Let w be s(14). Let g(t) = w*q(t) + 6*u(t). Determine l so that g(l) = 0. 1/3, 4 Factor -183 - 440*o - 224 - 162*o**3 + 455 + 1044*o**2. -2*(o - 6)*(9*o - 2)**2 Suppose 5*y = 3*r + 15 + 1, 0 = 3*y - 15. Let b(n) be the second derivative of -1/18*n**4 + n - 4/9*n**r + 0 - 4/3*n**2. Solve b(l) = 0 for l. -2 Let k be (-9)/(-15) + 0 + (-7)/70. Let m(g) be the second derivative of -4/3*g**3 + 0 + 0*g**2 + 4/3*g**4 + 1/15*g**6 - 2*g - k*g**5. Factor m(t). 2*t*(t - 2)**2*(t - 1) Let a(m) be the first derivative of -5*m**6/6 + 14*m**5 + 40*m**4 + 10*m**3/3 - 155*m**2/2 - 80*m - 638. Factor a(f). -5*(f - 16)*(f - 1)*(f + 1)**3 Suppose r - 5*p + 2 = -6, 4*r + 2 = 5*p. Let b(x) be the third derivative of 1/12*x**4 - 1/60*x**5 + 0*x**3 - 2*x**r + 0*x + 0. Factor b(j). -j*(j - 2) Let j be (-4)/26 + 28/13. Find h, given that 4*h**3 - 8 + h**2 - 2*h + 7*h**j - h - h = 0. -2, -1, 1 Let g(k) be the second derivative of 1/3*k**2 - 7*k + 0 + 169/72*k**4 + 13/9*k**3. Suppose g(p) = 0. What is p? -2/13 Let i be ((-132)/154)/(8/(-14)) - (-18)/(-20). Let i - 1/5*y**3 - 7/5*y + y**2 = 0. Calculate y. 1, 3 Suppose 9*k + 5*u - 24 = 6*k, 0 = 4*k - 4*u. Let f(p) be the second derivative of -1/16*p**4 + 0*p**2 - 3/80*p**5 + 1/40*p**6 + 1/8*p**k + 0 + p. Factor f(n). 3*n*(n - 1)**2*(n + 1)/4 Let y(k) be the second derivative of 3*k**5/80 - k**4/2 + 2*k**3 + 261*k. Factor y(d). 3*d*(d - 4)**2/4 Let c(s) be the second derivative of 2*s**6/75 + 12*s**5/25 + 13*s**4/5 + 56*s**3/15 + 286*s. Find b such that c(b) = 0. -7, -4, -1, 0 Let s(y) be the first derivative of y**7/315 - y**6/180 - y**5/90 + y**4/36 - 8*y**2 + 24. Let r(p) be the second derivative of s(p). Factor r(g). 2*g*(g - 1)**2*(g + 1)/3 Let g(o) = 3249*o**2 - 360*o + 1. Let n(b) = -1624*b**2 + 180*b - 1. Let w(k) = 4*g(k) + 9*n(k). Let w(u) = 0. Calculate u. 1/18 Factor -8*b**2 + 55/2*b + 1/2*b**3 + 0. b*(b - 11)*(b - 5)/2 Let l(j) be the first derivative of -1/14*j**6 + 0*j**3 - 3/14*j**2 + 3/14*j**4 +
{ "pile_set_name": "DM Mathematics" }
Put together 4868705.03 and 1. 4868706.03 Subtract -0.00728975 from -0.091. -0.08371025 Work out -1672152.87 - -1.34. -1672151.53 What is 0 take away -201769751? 201769751 Calculate -494087 - -0.17. -494086.83 What is 169767 plus -580.3? 169186.7 5198.24251+0.3 5198.54251 What is the difference between 5.97048 and -3.5? 9.47048 What is the difference between -3 and 130002808? 130002811 Calculate -3 + 1477655833. 1477655830 What is 81722782 plus 0.3? 81722782.3 What is -104 minus -1150858? 1150754 What is 408165.2 less than -0.1? -408165.3 What is -1342196 minus -0.11? -1342195.89 What is the difference between -193.128 and -250? 56.872 What is -479 + -6797813? -6798292 Work out 0.1 + -2288892125. -2288892124.9 What is -0.1 - 39440914? -39440914.1 What is -0.84764 minus -0.0161036? -0.8315364 What is 1906.3481 take away 1? 1905.3481 Add together 2648551 and -0.06. 2648550.94 What is the distance between 12922.65 and -59? 12981.65 What is 0.005 + -56335? -56334.995 Add -8.34 and -13421.9274. -13430.2674 What is 735.65 plus -222? 513.65 -0.15+399837178 399837177.85 -15041839.4+0.01 -15041839.39 What is -7539611489 less than -0.4? 7539611488.6 What is -0.3 take away 64629157? -64629157.3 Sum -3.203709 and -8.8. -12.003709 What is the difference between 1158 and 27772.3? 26614.3 Calculate -0.2 + -50401.4179. -50401.6179 Calculate 6.6965 - -5. 11.6965 What is 226 less than 37969.9825? 37743.9825 Subtract 82.3 from 0.6549822. -81.6450178 Total of 520.463 and -7.62. 512.843 Calculate 48.52 - -0.000095. 48.520095 Work out -1831518461 - 5. -1831518466 What is -0.03 take away 6.7423432? -6.7723432 Add -2.5765 and 0.18556. -2.39094 What is -4 plus 458.0817946? 454.0817946 What is -69 - 239395? -239464 Calculate 14322 - -1407. 15729 What is the distance between 0.5 and -46117558? 46117558.5 Subtract -0.07877 from -1.285082. -1.206312 -0.76596+89.68 88.91404 What is -65179.42 + -0.01? -65179.43 Add 0 and -3700039. -3700039 Subtract -0.5 from -111973896. -111973895.5 Put together -4868.391321 and -1. -4869.391321 Subtract 0.3 from -4433617247. -4433617247.3 Total of 0.4 and -299023378. -299023377.6 Total of -320650 and 165586. -155064 Work out -210.893 - -0.138. -210.755 What is 8 plus 21120988? 21120996 -373.63 - 0.0234 -373.6534 Subtract 332 from -42636204. -42636536 Calculate -0.1 - 2504.6674. -2504.7674 What is the difference between -1165536 and 0.408? 1165536.408 Work out -0.0635 + 16526118. 16526117.9365 What is the difference between -133 and 5.9152? 138.9152 Put together 347135.4 and -0.8. 347134.6 What is -0.50284 less than -65.8? -65.29716 Calculate -2428409 - 96. -2428505 What is -1252260 plus -16540? -1268800 What is the difference between -2 and 1041639779? 1041639781 Work out -0.5 - -2.137098. 1.637098 Calculate 37774933.97 - 0.3. 37774933.67 What is the difference between 7590855363 and 0.06? 7590855362.94 What is the distance between 0.81 and 1433261? 1433260.19 Subtract -129 from -2.187275. 126.812725 0.04739 + -4.757 -4.70961 Subtract 3 from 12.77744051. 9.77744051 Total of -1520153.99 and -1. -1520154.99 4258.93 + 1 4259.93 Work out 11 + 585647. 585658 Calculate -0.0934879 + -49. -49.0934879 What is -0.048911 plus 1.06048? 1.011569 13143522 + -41 13143481 Put together 3618779 and -401. 3618378 Put together 1753 and 66709. 68462 Put together -9617.57 and -51. -9668.57 What is -7 take away -6267.4682? 6260.4682 What is 13304 less than -8244245? -8257549 What is 4.8663826 + 5? 9.8663826 What is 5 - -1515754? 1515759 Calculate 651 + 1145846. 1146497 What is 0.2 take away 1965718.1? -1965717.9 Work out 43815 - -24349. 68164 Total of -88.186 and -1.56. -89.746 What is the difference between 8499 and -10356713? 10365212 Add together -0.043 and 16667357. 16667356.957 Work out -2 + 307180367. 307180365 What is -24 minus -9.835331? -14.164669 Put together 525020.796 and 2.1. 525022.896 4.55 - 2876248 -2876243.45 5 - -4304477755 4304477760 Add -438 and -19285987. -19286425 18.8797+-0.52 18.3597 Add together 62706640 and 0.5. 62706640.5 Calculate -282797720.8 - 0.3. -282797721.1 0.413601 - -0.97 1.383601 What is 2 - 2.6966882? -0.6966882 What is the difference between 0 and 0.062770295? 0.062770295 Add together 1799.49519 and -629. 1170.49519 Put together -39 and 62443. 62404 -22.6023805 - 0.082 -22.6843805 What is -30451600 minus -1166? -30450434 What is 29 + -26691265? -26691236 Put together 0.10701 and 9.14. 9.24701 Sum 18818708 and -0.072. 18818707.928 Total of -0.5 and -46188302. -46188302.5 What is -0.0940508 less than -0.02? 0.0740508 0 + 140704 140704 What is 221494.33 take away -0.6? 221494.93 Calculate -0.13534284 - 0.1. -0.23534284 What is the difference between -2409 and -66.88? 2342.12 Calculate -860.8 + 241756. 240895.2 Total of -1.67623 and -10435. -10436.67623 What is 157.5 - 39189? -39031.5 Total of -7457885 and 4074. -7453811 Calculate -124516.4 + -220. -124736.4 What is -0.062 less than -0.265075? -0.203075 What is 0.4 less than -0.94506102658? -1.34506102658 What is 12134.6525 less than 0.08? -12134.5725 Put together -3163264196 and -0.4. -3163264196.4 Work out 20 - 1185402. -1185382 Calculate 21714603 - -0.3. 21714603.3 What is -8.78898 + 1800.2? 1791.41102 What is -57371554 minus -0.1? -57371553.9 What is 64422639 - 5.26? 64422633.74 What is -1 take away -12676.3323? 12675.3323 Total of 4983269 and 0.01. 4983269.01 What is -86676 less than -724? 85952 -36411+0.21 -36410.79 Calculate -4 - 44358766. -44358770 21125640813 - 0.3 21125640812.7 What is 0.3 less than -4727592500? -4727592500.3 -0.2+-24444698 -24444698.2 -6312316189 - 3 -6312316192 Work out 33672865.39 + -0.1. 33672865.29 Sum 199 and -0.72173. 198.27827 What is -5 minus -5737436? 5737431 What is 4 take away -25260162? 25260166 Subtract -3 from -299176. -299173 What is 417 + -15089.7? -14672.7 Subtract 296624 from 1930.8. -294693.2 21920399 - -5 21920404 Add 1102 and -0.1675145. 1101.8324855 Work out 817369 - 68. 817301 Put together 63 and 338492.8. 338555.8 Calculate -38370020 - -0.21. -38370019.79 Calculate 15.8442731 + 0. 15.8442731 -4058.75 + 58 -4000.75 -1797672 - -2.1 -1797669.9 Calculate -10.33 + 4375378. 4375367.67 What is -1535.14 minus 15701? -17236.14 Sum -5108511 and 2. -5108509 -484116 + -0.30028 -484116.30028 What is 0.08 + -17315136.4? -17315136.32 What is 5 plus -6048737? -6048732 What is 54057716.7 take away -4? 54057720.7 Subtract 16085 from 0.038157. -16084.961843 What is -13113 - -891.75? -12221.25 Work out 226.6 - 334733. -334506.4 -34078852365 - -0.2 -34078852364.8 Put together -1475 and 1453. -22 -1773484242 - -0.2 -1773484241.8 What is -0.4 minus -6734812? 6734811.6 Subtract 227 from 18971. 18744 0.14+128.780562 128.920562 Calculate -0.14136 + -919172. -919172.14136 Subtract 21611.69191 from 0.04. -21611.65191 2998756 - -0.5 2998756.5 What is -1569 plus -39076? -40645 Put together -35346211 and -2. -35346213 What is 4695 minus 6.187? 4688.813 Calculate 8594 + -941095. -932501 Sum -0.02792 and 1910.74. 1910.71208 What is -14472 less than 69514? 83986 Work out -7170 - -22.7. -7147.3 Sum -16387 and -2577. -18964 What is -56976716 + 26? -56976690 Put together 470 and 2.3147. 472.3147 Add together 4 and -13413757. -13413753 Work out 5 + 2144348.3. 2144353.3 Subtract 582.59 from 9524. 8941.41 Calculate 0.5 - 3683858. -3683857.5 0.4862 - -117546 117546.4862 What is 0.12054 plus -1076822? -1076821.87946 Add together 82.65 and -65.2. 17.45 Total of 6448433 and -1.3. 6448431.7 What is -37167 less than 20.28? 37187.28 Work out 0.5 + -97737289. -97737288.5 What is -0.15 - 7.89584? -8.04584 What is the distance between 83398837 and 6? 83398831 What is 0.07 minus 9885493462? -9885493461.93 -2.26529179 - 4 -6.26529179 3 - 49837.27028 -49834.27028 What is the distance between 16 and 8370044.44? 8370028.44 What is 10759243533 + 1? 10759243534 Subtract 35 from 1446.393941. 1411.393941 Calculate -13.82 - -44796. 44782.18 Sum 45821252 and -0.2. 45821251.8 Sum -3385328876 and 15. -3385328861 What is -0.0062503 less than 134409? 134409.0062503 32220325+-1.1 32220323.9 What is 1.1 less than -573191? -573192.1 1.7 + 1623568 1623569.7 Subtract 2837485 from -3. -2837488 What is 4131 minus 1.512? 4129.488 What is 0.098234 plus -2722.83? -2722.731766 Calculate 34071 - -
{ "pile_set_name": "DM Mathematics" }
(1 - 4) - (0 + 3). Solve -b = -h + c*h + z, -b + 2*h = 1 for b. -5 Let c(d) be the third derivative of -d**3 - 1/60*d**5 + d**2 + 0 - 1/4*d**4 + 0*d. Let n be c(-4). Solve 3*i = -3*p + 13 - 1, 3*p = n*i + 12 for i. 0 Let b be -1 + 5*-1*7/(-7). Solve -j + 2*f = 10, 26 = -2*j - 3*j + b*f for j. -2 Let w(o) = o**3 - 10*o**2 + 9*o + 10. Let i be w(9). Solve -4*a = -9*a + 3*u + 10, i = 3*a - u for a. 5 Suppose 2*u = 2*k - 20, -3*k + u + 14 = -6. Solve 0*l = -3*j + 4*l + 14, 4*j + 33 = -k*l for j. -2 Let a = 1 - -1. Let x be (-1*11 - 0) + a. Let t = -6 - x. Solve 5*r - 16 = -3*z, 3*r + 3*z + z - t = 0 for r. 5 Let b be (-4)/12*-15 + -1. Solve -5*k + 3*k = 3*g - 2, b*g = -2*k for g. -2 Let y = 32 - 2. Suppose 5*f + y = 5*b, f = -b - 3*f - 14. Suppose 3*v - m + b*m = 7, -20 = 4*m. Solve -3*i = 5*w - 11, -3*i + 5 = v*w - 2 for w. 4 Let o be (-28)/42 - 28/(-6). Solve 2*y + o + 2 = -4*g, -y - 4*g = 5 for y. -1 Let v be 2/(2/(-73)) + 2. Suppose 0 = -12*x - 402 + 30. Let c = x - v. Solve -5*b = 3*i - c, -3*b + 5*b - 15 = -i for i. 5 Let r = 19 - 15. Solve 4*x + 3*p - 31 = -0*p, 16 = -x + r*p for x. 4 Let z(h) = h**3 - 14*h**2 - h + 16. Let j be z(14). Solve 1 = 5*f - 5*l - 4, -2*f - j*l = -18 for f. 5 Let k(c) = c - 4. Let v be (-12)/4 + (9 - -1). Let n be k(v). Solve -n*f + 3*z + 9 = 0, -2 = 5*z + 3 for f. 2 Let k(x) = 4*x - 10. Let i be k(4). Solve -g + 5 = -2*z - 3, -g = 5*z + i for g. 4 Let c = -10 - -14. Solve -4*u + c = -2*w + 2, 3*w + 19 = -2*u for u. -2 Let z(h) be the first derivative of -1 + 3/2*h**2 - h. Let k be z(1). Solve w + w + p = k, -2*p + 5 = 5*w for w. 1 Let q = -14 + 21. Suppose 0 = -5*k + 11 + 14. Solve -3*m = -q*l + 2*l + 2, l = -k*m + 6 for l. 1 Let g be -5*6*(-6)/45. Let o(d) = 4*d**2 + 11 - g + 0*d**2 + d**3 - 4*d. Let s be o(-5). Solve v - s*v - 1 = -2*q, -v = 3*q - 4 for q. 1 Suppose -g - 4*g + s = 37, 2*s = 2*g + 18. Let u = -4 - g. Let w be -2 - ((-57)/u + -2). Solve y + 2*x + 5 = 0, -5*y - w = 4*x - 0*x for y. -3 Let b = 36 + -27. Solve 28 = -4*u + 4*v, 3*u - 3*v = 6*u - b for u. -2 Let u be (3/4)/((-2)/(-8)). Let c be (-9)/(-6)*(-4)/(-3). Suppose -c*b + 0*o = 3*o, 2*o = 4*b. Solve -d - 2*d - 21 = -3*h, d + u = b for h. 4 Let v(j) = 5*j**2 + 2 - 2 - j. Let s be 8/7 + (-6)/42. Let k be v(s). Solve 2 = -2*a + 3*y, 18 = -k*a - y - 0*y for a. -4 Let w be (7/(-4))/(4/(-16)). Let d be 68/w - 12/(-42). Solve -3*q + 0*m - 2*m - d = 0, 3*m = -2*q - 5 for q. -4 Let h be (-4)/(-6)*(-11 - -2). Let o be 4/(-6)*h/(-4). Let b be 5/(-10)*4/o. Solve 0 = -5*c - z - 10, b*z + 3*z + 23 = 2*c for c. -1 Suppose 4*o - 3 = 5. Solve 3*k = -j, -k = -3*k - o*j for k. 0 Let l = 87 + -77. Solve 0 = -3*c, 3*c = 5*u - 0*c + l for u. -2 Let c = 6 + -4. Solve -22 = -c*k - 4*q - 6, 3*k - q = 10 for k. 4 Suppose -14 = -4*s + 2*s. Let p(f) = f**3 - 8*f**2 + 7*f + 4. Let x be p(s). Solve 5 = -m - 2*a, x*m = 4*a + 7 - 3 for m. -1 Let t(w) = -w - 1. Let j(b) = -b**2 - 3*b - 27. Let p(h) = -j(h) + 3*t(h). Let d be p(0). Solve 3*k = u - 11, 0*k - 5*k - d = 4*u for k. -4 Let k = 8 + -6. Solve 5*i - i + 2*f = -26, -21 = 3*i + k*f for i. -5 Suppose 1 - 11 = -5*k. Suppose -5*i + k*g = -g - 22, 3*i = -2*g - 2. Solve 0 = -w + q + i, -4*w = -2*w + 3*q + 21 for w. -3 Suppose -z + 6*z = 40. Suppose -l = -3*l + z. Solve 3*p - l*k = 19, 2 = -p - k - 1 for p. 1 Let y(l) = 2*l**2 + 6*l - 6. Let i be y(-5). Let t = -1 + 3. Suppose -2*h + 4*h + 2 = -2*m, -2*m = -t*h + 2. Solve -2*r - 4*o - i = h, 3*o = r - 4 + 1 for r. -3 Suppose 0 = -3*s - 3*z + 9, 4*s + 2 = 4*z + 6. Solve s*a + 24 = -y - 4*y, -4*a + 8 = -4*y for a. -2 Suppose -4*o + 2*g = -18, g + 1 = -2*o + 12. Solve 0*z + z + 7 = -o*h, -h + 1 = -z for z. -2 Let f(k) = -k**2 - 9*k + 10. Let i be f(-9). Solve 2*n - 5 + 3 = j, j = -2*n + i for n. 3 Let y be (8 - 1) + (-4)/2. Suppose -2*w = 5*p - 11, -11 - 9 = -y*w - 5*p. Suppose -29 = -3*v + 16. Solve 40 = k - 6*k - w*o, 5*k - 2*o + v = 0 for k. -5 Let x = 10 - 5. Let d = -253 + 274. Suppose s + 3 = 2*s. Solve 3*a - 4*o - s = 0, 2*a + x*o + 0 + d = 0 for a. -3 Suppose -r + 204 = 4*j + j, -4*j + 164 = r. Suppose -p + 5*p = -j. Let y be (-16)/(-10) - 4/p. Solve -5*z + 4*x = -y - 1, -3*z + 5*x - 6 = 0 for z. 3 Let h = 9 + 9. Solve -3*v - 16 - 3 = 5*f, 4*f + v = -h for f. -5 Suppose 0 = -4*b + 8 + 8. Suppose -4*i = -4*t + 8, -7*t + 2*t = b*i - 37. Solve 5*n - i*u - 35 = 0, 45 = 5*n - 2*u - 3*u for n. 4 Suppose -2*j = 5*v + 3, -2*j + 4*v - 11 + 35 = 0. Solve 0 = -2*z + j, 5*c + 2*z = -11 + 2 for c. -3 Let o be 1/(2*(-3)/12*-1). Solve 0 = -4*u, 3*x - 6*u - 9 = -o*u for x. 3 Suppose -3*t - 13 = -2*w + 3, 14 = w - 3*t. Solve -f = -5*a - 4, 4*f - w*f = 5*a + 8 for f. 4 Suppose 7*a - 3*a - 100 = 0. Suppose -9*s = -4*s - a. Let q be (-18)/(-5) - (-4)/10. Solve s = f - q*r, 4*f - 20 = -2*r - r for f. 5 Let j(y) = -y. Let g(p) = p**2 - 2*p - 1. Let m(z) = g(z) - 5*j(z). Let o be m(-4). Solve o*f - 5*l + 4 = 0, -6*f - 19 = -f + 4*l for f. -3 Suppose 4 = -4*l + 5*l. Suppose 3*x = 5*w + 34, 2*w - w = l*x - 34. Solve -4*u - q = -x, -5*q + 4 + 16 = 0 for u. 1 Let y be (24/(-9))/(2/6). Let u = -6 - y. Let j be (-2)/(-4)*0/u. Solve -2*s + g - 8 = -j, 0 = 5*s + 3*g - 2 for s. -2 Let p be (-2 - -4 - 0) + 0. Suppose 2*z = 7*z - 10. Solve 4*q + b + z - 8 = 0, p*b = -3*q + 2 for q. 2 Suppose -25 - 15 = -4*m. Let s be 4/(-10) + 44/m. Solve s*l + 4 = -4*t + 24, 5*l = 3*t + 17 for l. 4 Suppose 300 = -0*m + 4*m. Suppose 4*d - x - m = 0, 5*d = 7*x - 3*x + 91. Solve -4*g - 4*p + 13 = -d, 3*p = 9 for g. 5 Suppose -5 = -2*y + 5. Suppose -y*p - 7 = -17. Solve -5*k + z = -6 + 1, -2*k + p = -3*z for k. 1 Let q(d) = d**2 - 6*d + 8. Let i be q(6). Let o be (-18)/i*20/(-5). Suppose -4*f + 16 + 8 = -l, -f + o = -l. Solve 3*x - s + 12 = f*x, -3*s - 19 = -5*x for x. 5 Let j(i) be the first derivative of i**3/3 + i**2/2 - 4*i + 3. Let w be j(-3). Solve w*d = 3*l + 7, 0*d + 13 = 4*d - 5*l for d. 2 Let t = 27 - 24. Let r be 2/(3/(4 + 2)). Solve -3*u - 5*i - 5 = -u, 4*i + r = t*u for u. 0 Suppose 0 = -t + 4*s - 12 - 2, 2*s = -4*t + 16. Solve -3 = -u + 4*y + t, y = -u + 5 for u. 5 Suppose 0 = -k - 4*k + 15. Let y(h) = h. Let l be y(3). Let v = l + -1. Solve 0 = -0*j + 2*j + 2, -v*f + 3*j + k = 0 for f. 0 Suppose 3*a - 16 = -2*n, 5*n - 14 = -2*a + 3*n. Solve -2*v = -4*m + 8, -v - a*m + 8 = -0*v for v. 2 Let m = 14 + -29. Let p be (-32)/(-5) + 6/m. Suppose 2*l + 2*j = 30 + p, 0 = -4*j + 4. Solve -4*h + a = -l, 4*a = 3*h - a for h. 5 Let f be 2 + 0/(-3) + 3. Suppose -y - 2 = -f*h, -y + 4*y - 5 = 4*h. Solve -4*r - 3*w = 14, 5 = -y*r - 3*w - 4 for r. -5 Suppose -r + 4*r + 9 = 0. Let f = r + 5. Solve 0 = -3*g + 3*x + 9, f*g + x = -4 + 1 for g. 0 Let r = 0 - -2. Let z = 148 - 143. Solve c + 11 = -3*q, r*q + c + z = -2 for q. -4 Let l be 21 + (0 - 0/1). Let i = l - 17. Solve 3*v - 3*g = -0*g - 18, -4*v = i*g + 8 for v. -4 Let b = 21 - 13. Let a = b - -3. Let z = a - 7. Solve -3*q = -z*m + 16, -5*m + 0*m + 20 = 0 for q. 0 Let h be (1/(-3))/((-4)/60). Let q = 8 - h. Solve f - 6*f = -5*m + 20, -2*m + 9 = -q*f for f. -1 Suppose 4*v - 8 - 56 = 0. Let u be ((-6)/(-24))/(1/v). Solve 0 = -k - 3*k - 4*r - 28, 2*r = -u*k - 24 for k. -5 Suppose 9*p = 6*p + 12. Solve 5*n + 18 = -j - j, -p*j - 2*n = 4 for j. 1 Let n(c) = 5*c - 5*c + 0*c - c**2 + 7. Let k be n(0). Suppose -1 + k = 3*d. Solve 0 = -5*a - d*h + 3 + 13, -a + h = 1 for a. 2 Suppose 52 = -u - 3*x, -4*x = -u + 2*u + 54. Let i be 4/10 + u/(-10). Solve 10 = 5*s + i*a, 0 = -4*s + 2*s - a + 5 for s. 3 Let t be (1 + 1)*(-9)/(-6). Let o be t/(-2)*(-24)/18. Let q = o - 0. Solve 0 = 5*n + j + 22, -5*j + 0 = -q*n + 2 for n. -4 Let h be 111/21 + (-4)/14. Suppose -i = h*l + 2*i - 20, -4*i + 20 = 0. Solve -l = -5*p + 4, 19 = 5*c - p for c. 4 Let f = 16 - 8. Suppose -4*j + 3*h - 146 = 0, -4*j + 9*j + 173 = -h. Let x be j/(-2) + (-3)/2. Solve o = -b, -3*o = -f*o + 3*b + x for o. 2 Let n(c) = 2*c**2 + 4*c + 2. Let f be n(-2). Suppose 12 = p + f. Suppose m + p = 3*m. Solve 5*h - 23 = -2*j, -m*j = -h - 2*h - 11 for h. 3 Let t = -15 - -21. Let v be (0 - t)*(3 - 4). Suppose 20 = -2*h + 7*h. Solve 0 = 3*d - v*p + p + 11, h*d - 8 = p for d. 3 Suppose -5*u + 22 = q + 5, -2*q = -2*u - 10. Solve 12 = 3*c + n - q, -10 = 2*c - 5*n for c. 5 Suppose -7 - 3 = -5*g. Solve g*f - 2*k + 1 = -1, -2*f - 4*k + 4 = 0 f
{ "pile_set_name": "DM Mathematics" }
*3/3 + 5*q**2/2 + 18*q + 19. Let x be d(-4). Let y(a) = -a**2 + a - 2. Determine y(x). -8 Let c(o) be the second derivative of -7*o**3/6 - o**2/2 - 2*o. Let u(l) = -13 + 0*l - 6*l + 7*l. Let v be u(12). Determine c(v). 6 Suppose -12 = -5*o - 2*w, 0*w - w + 1 = 0. Let t(h) = -21*h**o + 1 - 6*h + 2*h + 20*h**2. What is t(-3)? 4 Suppose -4*p + 5 + 19 = 0. Let h = 7 - p. Let c(b) = -b - 5 + b**2 + 4 - 7*b**3 - 9*b**3 + 2. Give c(h). -15 Suppose 8 = 5*o + 4*b, 2*b = 8 - 4. Suppose -5*l + 19 + 1 = o. Let u(w) be the third derivative of w**6/120 - w**5/15 + w**4/24 + w**3/6 + 92*w**2. Give u(l). 5 Let r(b) = b**2 - 17*b - 19. Let u be r(18). Let k(c) = -9*c**3 - 2*c**2 - 2*c - 1. Calculate k(u). 8 Let v(r) = -r**2 - 3*r. Let y be v(-4). Let m(p) be the first derivative of p**3/3 + p**2 - 4*p + 682. What is m(y)? 4 Suppose -33 = -o + 2*h, -3*h + 4 = -8. Let n(t) = -37 + t**2 + t**2 - t**2 + 5*t + o. Calculate n(-4). 0 Let u(g) = -g - 4. Suppose -4*z + 16 = p, -3*z + 7 = -3*p - 5. Let q(i) = -1 + i + 2 + p - 4. Let y be q(7). What is u(y)? -8 Let r(x) = -x + 9. Let p be r(9). Let h(a) = -8 - 21*a + 19*a + p. Calculate h(-7). 6 Let p(b) = b**3 + 9*b**2 - 12. Let i be -4 + 152/36 + (-1160)/(-45). Let c = i + -35. Give p(c). -12 Let k(p) be the third derivative of -1/6*p**4 - 1/3*p**3 + 0 + 0*p - 10*p**2. Give k(-2). 6 Let m(i) = i**3 - 7*i**2 - 12*i + 11. Let h be ((-12)/8)/(3/(-16)). Determine m(h). -21 Let p(j) = -4 - 4*j**2 - 3*j**3 + 4*j**3 + 3*j**2 - 3*j. Suppose -2*z + 4*y + 12 = 0, -5*z - 5*y = -y - 58. Let f = -7 + z. Calculate p(f). 5 Let z(m) be the second derivative of -m**3/3 + m**2/2 - 7*m. Let i(p) = -2*p. Let o(f) = 5*i(f) - 4*z(f). Calculate o(-3). 2 Suppose 6*c - 143 = 17*c. Let b(y) = y**2 + 12*y - 6. Determine b(c). 7 Let q(w) be the third derivative of w**5/60 - w**4/24 + w**3/3 - 32*w**2. Determine q(3). 8 Let u(d) = 5*d + 1. Let q(o) be the third derivative of 0*o - 7/12*o**4 + 0 - 1/2*o**3 - 5*o**2. Let z(b) = 6*q(b) + 17*u(b). Determine z(4). 3 Suppose -5*t - 1 = -6. Let z be (t + -2)/(1/(-2)). Let a(k) = -4 + 2 - 4 + 4*k + 1 + 4. Determine a(z). 7 Let r(s) = 49*s - s**2 + 5 + 19*s - 64*s. Determine r(3). 8 Let n = -60 + 54. Let u(o) = o + 14. Let b be u(-12). Let p(t) = b*t**2 - 4 - t**2 + 5*t - 2. Give p(n). 0 Let f(s) = -s**2 - 5*s + 5. Let h be f(-5). Suppose 5*o + 15 = 4*n + 2, 0 = -5*o - h. Let t(b) = -n + 5 + b - 5. Determine t(0). -2 Let l = -58 - -90. Suppose 2*n = -6*n - l. Let t(o) = -o**3 - 3*o**2 - 2*o - 3. Let j(g) = g**3 + 3*g**2 + 3*g + 4. Let y(h) = 5*j(h) + 6*t(h). Calculate y(n). 6 Let j(b) = b**2 + 11*b - 13. Suppose -108 = 2*z + 7*z. Calculate j(z). -1 Let b(u) = u**2 - 8*u + 2. Let c = -21 - -23. Suppose -a - c*a = 6. Let l be 180/24 + a/4. Give b(l). -5 Let j(b) = -9*b. Let t(d) = -4*d + 54. Let p be t(15). Give j(p). 54 Let g(n) = n**3 - 5*n**2 - 9*n + 9. Let l = -20 + 35. Suppose -3*x - 3*y - l = -4*y, 5*x - 2*y + 26 = 0. Let z be 2/(-16)*x*12. Give g(z). -9 Let h(i) = i**3 - i**2 + 1. Let a(k) be the first derivative of k**3/3 - 17*k**2/2 - 19*k - 11. Let l be a(18). Give h(l). -1 Let d(c) = -c**3 - 2*c**2 + 11*c + 12. Let i be d(-4). Let n(b) = b**2 - b + 9. Determine n(i). 9 Let m(g) = 5*g - 1. Let c(k) = k**3 + 4*k**2 - 6*k - 3. Let v be c(-5). Suppose j - v*j = 0. Suppose -5*z - p + 14 = j, -3*p + 3 = 4*z - 6. Give m(z). 14 Suppose 3*l - 3*b = -0*b - 27, -l + 11 = 4*b. Let z be (-6)/(l + 3) - -2. Let x(y) = y - 5*y - y**3 + 27*y**2 - 20*y**2 + 4 - 4*y. Calculate x(z). 14 Let d(y) = y**3 + 2*y**2 - 2*y - 3. Let w = 584 + -587. Calculate d(w). -6 Let u(x) = -10*x**3 - x**2 + 2*x - 1. Let z be -1*2 + 2 - 3. Let n(v) = 4*v**2 + 21*v + 6. Let h be n(-5). Let d be 3*h/(z + 6). Calculate u(d). -10 Suppose -555 + 579 = -6*q. Let z(d) = -d**3 - 5*d**2 - d + 6. Determine z(q). -6 Let r(b) = 3*b**3 - 2*b**2. Let j(x) = -x**3 - x**2 + 1. Let f = 6 + -10. Let g(c) = f*j(c) - r(c). Let s = -26 - -20. Calculate g(s). -4 Let a = -594 - -602. Let d(j) = j - 5. Give d(a). 3 Let p(x) = -1 - 3*x - 1 - x**2 + 2*x. Let b be 35/42*-3 - 1/(-2). What is p(b)? -4 Let d = 35 + -17. Suppose 0 = h + d - 15. Let o(m) = m**2 + 4*m + 1. Calculate o(h). -2 Let w(v) = -v**2 - 6*v - 10. Let s be w(-7). Let y = s - -24. Let f(g) = 20 - g**3 - g - y + 2*g**2 + 4*g**2 - 12. Give f(6). -5 Let q(b) be the second derivative of b**4/12 + 2*b**3/3 - 13*b. Let r be q(-5). Let o(l) = -l**2 + 6*l + 4. What is o(r)? 9 Let b = -1269 + 1270. Let a(l) = -6*l - 2. Give a(b). -8 Let o be (-25)/5*1*1/(-5). Let a(r) be the first derivative of 5*r**4/2 - r - 9. Calculate a(o). 9 Let n(l) = -5*l**3 - 14*l**2 - 27*l + 18. Let m(b) = -b**3 - b**2 - b + 1. Let z(y) = 6*m(y) - n(y). Give z(10). -2 Let u(g) = 13*g + 19. Let q be u(-1). Let z(m) = -m. Calculate z(q). -6 Let v(g) be the first derivative of -g**3/3 + g**2 - 3*g - 2. Let b be -9*6*1/(-18). Determine v(b). -6 Let p(q) = 2*q**3 - 3*q**2 - 2*q - 2. Let s be (4/(3 + -5) - -5)*1. Give p(s). 19 Let b be (-58)/10 + 2/(-10). Let n(h) be the first derivative of h**4/24 - h**3/3 - 5*h**2/2 + 7. Let r(l) be the second derivative of n(l). Calculate r(b). -8 Let d(a) = 4*a + 3. Let u(l) = -2*l - 14. Let m be u(-5). Determine d(m). -13 Let g(q) = -6*q**2 + q**3 + 6*q + 0*q - 3 + q**2. Let d = -2564 + 2568. What is g(d)? 5 Let n(p) = -2*p**2 + 3*p**2 - 1 + 1 - p**3 - p + 2. Suppose 2*i = -3*r - r + 16, 0 = -2*i + r - 9. Let x be (-3)/i*8/6. Give n(x). -4 Let b(r) be the second derivative of 3*r**5/4 - r**4/12 - r**3/6 + r**2 - 10*r - 4. Give b(1). 15 Let g(o) = -3*o**2 + 4*o + 1. Let q(y) = 10*y**2 - 12*y - 4. Let m(r) = -7*g(r) - 2*q(r). Suppose 13*u - 19*u = 276. Let x = 49 + u. Calculate m(x). -2 Let h(y) = -2*y**3 - 26*y**2 + 3. Let z be h(-13). Let v(x) be the first derivative of 2 + 0*x + 1/2*x**2 - 4/3*x**z. Calculate v(-1). -5 Let c(t) = -2*t**3 + 3*t**2 + 2*t - 10. Let y(k) = -k**3 + 4*k**2 + k - 9. Let b(f) = 2*c(f) - 3*y(f). Let n be ((-55)/(-33))/((-1)/3) - 2/2. What is b(n)? 1 Let o(i) = -2*i**2 - 10*i - 3. Suppose 23*s = 19*s - 5*m - 36, s = -m - 8. Give o(s). 5 Suppose -4*f = -f. Let k(r) = -r - 56 + 24 + 2*r + 16. Calculate k(f). -16 Let a(w) = 22*w**3 - w**2 + 1. Suppose -5*l = -5*s + 239 - 14, 2*l + 40 = s. Let f = s - 51. Give a(f). -22 Let p(f) be the second derivative of -1/6*f**4 + 0*f**2 + 1/6*f**3 + 0 + 12*f - 1/5*f**5. What is p(1)? -5 Let f(c) = -c + 3. Let x be f(0). Let h(m) = -43*m - 129. Let a be h(-3). Let u(v) = a*v - 3*v - 5*v**2 + v**x - 1 + 4*v - 5. Determine u(5). -1 Let c(j) be the third derivative of -j**6/360 - j**5/60 - 11*j**4/12 - 8*j**2. Let g(w) be the second derivative of c(w). Give g(-2). 2 Suppose 36*t + 515 = 83. Let i(v) = v**2 + 7*v - 56. What is i(t)? 4 Let j(k) be the first derivative of k**2/2 - k - 104. Determine j(-6). -7 Let p(k) = 6*k + 12. Let d(r) = -7*r - 13. Let b(j) = -5*d(j) - 6*p(j). Let x be b(-10). Let u(q) = -q + q**2 - 3*q**2 + 3 + 3*q**2 - 1 + q**x. What is u(-2)? 0 Let f(k) = -k**2 + 11*k - 6. Let q(n) = 44*n + 272. Let y be q(-6). Calculate f(y). 18 Let j(s) = 5*s**3 + 16*s**2 - 5*s - 10. Let x(n) = n**3 + 1 - 3 + 51*n - 52*n + 3*n**2 + 0. Let g(r) = -2*j(r) + 11*x(r). Give g(3). 31 Let x(c) = -c**2 - 11*c - 3. Let s(o) = o**3 - 2*o**2 - 11*o + 4. Let m be s(-3). Give x(m). 21 Let h(a) = 2 - 4 + 84*a - a**3 - 84*a + 4*a**2. Calculate h(4). -2 Let o(n) = -n**3 - 6*n**2 - 7*n - 5. Suppose -6*m = -7*m. Suppose -s = 4 - m. Give o(s). -9 Let h(a) = 46*a**3 + 20*a**2 + 7*a + 10. Let l(g) = 25*g**3 + 10*g**2 + 4*g + 5. Let v(y) = 6*h(y) - 11*l(y). What is v(-10)? 25 Let i(u) = u**2 + 8*u + 7. Suppose -m = 2*a - 8, 0*m = 3*m. Suppose 0 = a*t - 2*z, -t - 3 = -z - 1. Suppose t*x = -x - 15. What is i(x)? -8 Suppose -r = 2*h + 8, -2*r = 3*r - h - 15. Let n = -676 - -679. Suppose -5*c - 6 = -2*c - n*s, 4 = -r*c + s. Let l(i) = -i**3 - 3*i**2 - i + 2. Determine l(c). 0 Let q(w) = -12*w**2 + 44*w - 7. Let b(i) = -5*i**2 + 21*i - 4. Let a(h) = 5*b(h) - 2*q(h). Give a(17). -6 Let a(o) = -59*o**2 + 49*o**2 + 8*o**2 + o**3 - 2 - 2*o. Calculate a(3). 1 Suppose 5 - 3 = 2*x. Suppose -5*i = -4*g + 14, 4*g - x = i + 5. Let h(t) = -5*t**3 + 2*t**2 - 2*t + 1. Determine h(g). -4 Let o = -14 + 4. Let p = -33 - o. Let n = p + 20. Let a(d) = -2*d - 3. Give a(n). 3 Sup
{ "pile_set_name": "DM Mathematics" }
alculate the greatest common divisor of 4450 and 585350. 50 What is the highest common factor of 1283579 and 2123? 11 What is the highest common divisor of 209202 and 4662? 42 What is the greatest common factor of 5665 and 13247245? 55 What is the highest common divisor of 25655 and 193445? 35 Calculate the highest common divisor of 6569699 and 166. 83 Calculate the highest common divisor of 14256 and 765094. 22 Calculate the greatest common factor of 132 and 61634584. 44 Calculate the greatest common divisor of 551 and 4723723. 551 What is the greatest common divisor of 495583 and 58168? 11 Calculate the greatest common divisor of 60 and 60326430. 30 Calculate the greatest common factor of 37248 and 3561452. 388 Calculate the greatest common factor of 778158 and 12240. 306 Calculate the highest common divisor of 8312 and 154977240. 8312 Calculate the highest common divisor of 2223400596 and 37. 37 What is the greatest common factor of 30487116 and 22771? 3253 Calculate the greatest common divisor of 10 and 29656310. 10 What is the greatest common factor of 35794 and 1350910? 22 Calculate the greatest common factor of 32004 and 812574. 126 Calculate the highest common factor of 364 and 1229652788. 364 Calculate the greatest common divisor of 11768 and 3174418. 2942 What is the highest common divisor of 3612698 and 266? 38 Calculate the highest common divisor of 5880 and 44580. 60 What is the greatest common divisor of 552292 and 8968? 76 What is the greatest common divisor of 1305 and 4306275? 45 What is the greatest common divisor of 92825 and 83425? 1175 What is the greatest common factor of 25 and 1191626225? 25 Calculate the greatest common divisor of 23903176 and 447. 149 What is the greatest common factor of 75529 and 476627? 47 What is the greatest common divisor of 13532392 and 11792? 536 Calculate the greatest common divisor of 4018383 and 54. 27 What is the greatest common factor of 19200 and 1617792? 384 Calculate the greatest common factor of 13689494 and 546. 182 What is the greatest common divisor of 124 and 2455832? 4 What is the highest common divisor of 160820 and 6191140? 860 Calculate the highest common divisor of 15852 and 118933593. 3963 Calculate the greatest common divisor of 2772 and 62102502. 1386 What is the greatest common factor of 66723 and 12351? 69 Calculate the highest common divisor of 2610 and 36496935. 1305 Calculate the greatest common divisor of 148628 and 2760816. 2036 What is the greatest common factor of 822595 and 800825? 1555 Calculate the highest common factor of 713 and 4334885. 31 Calculate the greatest common divisor of 2 and 432536272. 2 Calculate the greatest common divisor of 19 and 182022185. 19 Calculate the greatest common divisor of 206190 and 245601. 261 Calculate the highest common factor of 385 and 15469960. 55 Calculate the highest common divisor of 2790 and 5498811. 279 Calculate the highest common divisor of 10 and 233422. 2 What is the greatest common factor of 2198 and 47887? 7 Calculate the highest common factor of 11129095 and 20. 5 What is the highest common factor of 52888 and 34833359? 6611 Calculate the highest common divisor of 28198239 and 2451. 129 Calculate the highest common divisor of 3684430 and 150. 10 Calculate the highest common divisor of 1222323 and 43677. 633 Calculate the greatest common factor of 864 and 695169. 27 Calculate the greatest common divisor of 615846 and 1800. 6 What is the highest common factor of 91704 and 768? 24 Calculate the highest common factor of 133878625 and 43903. 1021 Calculate the greatest common factor of 164328230 and 32835. 10945 What is the highest common factor of 33 and 2684363? 11 What is the greatest common factor of 195245 and 53125? 85 Calculate the highest common divisor of 37215 and 3735. 45 Calculate the greatest common divisor of 9280 and 1499200. 320 Calculate the greatest common factor of 4747 and 826310290. 4747 Calculate the highest common divisor of 13111064 and 1520. 152 Calculate the greatest common factor of 246 and 1937087517. 123 Calculate the greatest common divisor of 1004661 and 5412498. 9051 What is the highest common factor of 464 and 6270264? 232 What is the highest common divisor of 565 and 73123543? 113 Calculate the highest common factor of 323 and 1592219. 19 Calculate the highest common divisor of 424264 and 216. 8 Calculate the greatest common divisor of 19 and 5475781. 19 Calculate the greatest common factor of 460122 and 35047. 347 What is the greatest common factor of 18262 and 4800974? 46 What is the highest common divisor of 7934058 and 71706? 4218 What is the highest common divisor of 28 and 9238334? 14 Calculate the greatest common divisor of 40 and 3480390. 10 What is the highest common divisor of 291 and 775078209? 291 What is the highest common divisor of 2156 and 981904? 308 Calculate the highest common divisor of 48 and 544584. 24 Calculate the highest common divisor of 1140 and 17658980. 380 Calculate the greatest common divisor of 38918423 and 527. 527 Calculate the greatest common divisor of 603 and 46906633. 67 Calculate the greatest common factor of 20860 and 327460. 140 What is the greatest common factor of 28605892 and 196? 28 What is the highest common divisor of 198566 and 188062? 202 What is the highest common factor of 898538 and 5? 1 Calculate the highest common divisor of 217158 and 10625. 17 What is the highest common divisor of 5025 and 2246979? 201 Calculate the highest common divisor of 700378128 and 96. 48 What is the highest common divisor of 5742550 and 825? 275 Calculate the highest common divisor of 877 and 17434760. 877 What is the greatest common factor of 611062 and 3324? 554 What is the greatest common divisor of 301 and 826980? 7 Calculate the highest common factor of 1578711 and 31641. 159 Calculate the greatest common divisor of 1173 and 2263533. 51 Calculate the greatest common divisor of 2148784 and 572. 44 Calculate the highest common factor of 7533 and 23965146. 243 What is the greatest common factor of 318063 and 28418? 1093 What is the highest common factor of 1296 and 11571120? 432 Calculate the highest common divisor of 140 and 516080. 20 Calculate the highest common factor of 24588492 and 12. 12 What is the greatest common factor of 255 and 2098497? 51 Calculate the greatest common divisor of 1330992 and 16115112. 8424 Calculate the greatest common factor of 4355 and 8867651. 871 Calculate the highest common factor of 876018 and 1056. 66 What is the greatest common divisor of 29291194 and 201? 67 What is the greatest common factor of 289339118 and 6316? 3158 Calculate the greatest common factor of 299803009 and 473. 473 Calculate the greatest common factor of 707964 and 1428. 12 Calculate the highest common divisor of 49 and 22173431. 49 What is the highest common factor of 11 and 48020973? 11 What is the greatest common factor of 362 and 12330444? 362 What is the highest common factor of 3246992 and 560? 112 What is the greatest common divisor of 156 and 16356548? 52 What is the greatest common factor of 7189785 and 135? 45 What is the highest common divisor of 52626112 and 1344? 448 Calculate the highest common factor of 2572966 and 44. 22 What is the highest common factor of 6 and 545502? 6 What is the greatest common factor of 25618474 and 2044? 1022 What is the greatest common divisor of 467568 and 26775? 153 What is the greatest common divisor of 10366 and 3379742? 142 What is the greatest common factor of 1759960 and 8280? 920 What is the greatest common factor of 6858 and 47411894? 254 Calculate the greatest common factor of 4340 and 332333640. 620 What is the highest common divisor of 10141992 and 40824? 504 Calculate the greatest common divisor of 43880123 and 77. 7 What is the greatest common factor of 2035 and 1698485? 185 What is the highest common divisor of 5268860 and 12? 4 Calculate the greatest common divisor of 67507286 and 1574. 1574 Calculate the greatest common factor of 567 and 20629809. 81 Calculate the greatest common factor of 206 and 601417. 103 Calculate the highest common divisor of 1716 and 15966366. 78 What is the highest common factor of 11027522 and 8041? 473 Calculate the greatest common divisor of 1264500 and 16500
{ "pile_set_name": "DM Mathematics" }
= u**3 - 74*u**2 - 85*u + 1087. Calculate f(75). 337 Let w(x) = 20647*x + 226981. What is w(-11)? -136 Let h(x) = -x**2 + 2419*x + 53695. Calculate h(-22). -7 Let t(o) = -o**3 - 88*o**2 - 246*o - 1458. What is t(-86)? 4906 Let i(t) = -5*t**3 + 38*t**2 - 69*t - 108. Calculate i(-1). 4 Let y(p) = 7322*p - 7387905. Give y(1009). -7 Let a(b) = 2*b**2 - 87*b + 325. Give a(35). -270 Let h(q) = 26*q**2 + 21037*q - 148517. Calculate h(7). 16 Let n(y) = -23*y + 4264. What is n(67)? 2723 Let h(w) = 358693*w + 6097777. What is h(-17)? -4 Let r(y) = -442*y + 782. Determine r(4). -986 Let o(s) = -s**3 - 52*s**2 - 13*s + 1943. Determine o(-51). 5 Let w(i) = -64*i**2 + 1796*i - 11040. Calculate w(19). -20 Let c(k) = 2*k**2 - 185*k - 873. What is c(97)? 0 Let t(h) = 60*h + 8430. Determine t(-140). 30 Let t(z) = 7*z**3 + 3*z**2 - 253*z + 645. Determine t(3). 102 Let r(v) = 2*v**3 - 469*v**2 + 7596*v - 164. Calculate r(217). 53 Let y(c) = 3*c**2 + 1068*c - 39775. Calculate y(34). 5 Let t(y) = -60058*y - 3122988. What is t(-52)? 28 Let a(u) = u**3 + 64*u**2 + 141*u + 1179. What is a(-62)? 125 Let o(s) = -s**3 + 152*s**2 + 235*s - 37518. Give o(152). -1798 Let c(i) = 2*i**3 - 455*i**2 + 25788*i - 102. Calculate c(107). 5 Let p(r) = 5*r + 276. Determine p(-10). 226 Let o(h) = -94*h**2 - 1245*h + 6481. Give o(4). -3 Let z(j) = -1941*j**2 + 242632*j - 896. What is z(125)? -21 Let j(z) = -91*z**2 - 631*z - 1081. Give j(-3). -7 Let t(u) = 148039*u - 12435271. Give t(84). 5 Let b(z) = 1286*z - 152952. Determine b(119). 82 Let a(j) = 3*j**2 + 172*j - 120. Calculate a(-59). 175 Let u(x) = -2*x**3 - 2301*x**2 + 5827*x + 2731392. Determine u(-1152). 0 Let i(f) = f**2 - 494*f - 2009. Calculate i(-4). -17 Let x(k) = -31*k**2 - 364*k + 575. Give x(2). -277 Let u(g) = 5*g**2 - 22*g - 5205. Give u(-34). 1323 Let a(n) = n**3 - 97*n**2 - 953*n - 253. What is a(106)? -147 Let s(y) = -y**3 - 2*y**2 + 736*y - 734. Give s(1). -1 Let w(z) = -2*z**3 - 251*z**2 + 310*z - 8942. What is w(-127)? 75 Let y(c) = c**3 - 88*c**2 + 102*c - 1347. What is y(87)? -42 Let k(r) = r**3 - 19*r**2 - 325*r - 83. Calculate k(30). 67 Let d(r) = 11434*r - 3407331. Determine d(298). 1 Let z(v) = v**3 - 47*v**2 + 544*v + 333. Calculate z(26). 281 Let q(o) = -35086*o + 13332666. Calculate q(380). -14 Let y(t) = -t**3 + 80*t**2 - 42931*t + 3434490. What is y(80)? 10 Let g(w) = 2*w**3 + 65*w**2 + 56*w - 90. Determine g(-31). 1057 Let c(z) = 11*z**2 + 2503*z - 777. Give c(-228). 363 Let z(g) = -g**2 - 296*g + 4419. Give z(14). 79 Let n(c) = -c**3 + 169*c**2 - 3225*c - 1301. What is n(147)? 22 Let d(t) = 21613*t + 821719. Calculate d(-38). 425 Let r(q) = q**3 + 30*q**2 - 11400*q - 372968. Determine r(-33). -35 Let z(t) = 6*t**2 - 335*t - 1538. Calculate z(60). -38 Let b(a) = 335*a - 11070. What is b(27)? -2025 Let f(d) = -14*d**2 + 3002*d - 1302. Give f(214). -18 Let z(c) = c**3 - 682*c**2 + 537*c + 98070. Calculate z(681). 6 Let i(j) = 20*j**3 - 2*j**2 + 192*j - 776. Calculate i(4). 1240 Let c(u) = 11013*u**2 - 143145*u - 318. What is c(13)? -6 Let c(u) = 25*u**2 + 1839*u - 10749. Give c(-79). -5 Let i(l) = -l**3 - 11*l**2 + 1204*l + 710. What is i(30)? -70 Let n(u) = -4496*u - 2616667. Determine n(-582). 5 Let l(p) = 4*p**2 + 13749*p + 41197. Determine l(-3). -14 Let u(f) = f**3 - 19*f**2 - 313*f + 160. Determine u(-11). -27 Let u(a) = 3*a**2 - 537*a + 15126. Calculate u(35). 6 Let n(v) = 76960*v + 5079352. Determine n(-66). -8 Let j(h) = 2*h**3 + 19*h**2 - 175*h - 41. Calculate j(-15). 109 Let g(l) = -2*l**3 + 32*l**2 + 53*l - 828. Calculate g(16). 20 Let p(u) = 11112*u - 22225. Determine p(2). -1 Let u(c) = -c**2 + 354*c - 20844. Give u(279). 81 Let j(y) = 14185*y + 50881. What is j(-4)? -5859 Let s(k) = -2764*k + 621921. What is s(225)? 21 Let c(y) = -y**3 - 29*y**2 + 231*y - 13. Give c(6). 113 Let q(t) = -16610*t + 99720. Give q(6). 60 Let y(o) = -1917*o - 16820. Give y(-9). 433 Let f(i) = -953220*i - 11438640. Determine f(-12). 0 Let t(b) = 12196*b - 3634420. Determine t(298). -12 Let c(u) = -u**3 - 102*u**2 - 1537*u + 3328. Give c(-83). 8 Let s(w) = 107*w**3 - 10*w**2 + 21. Give s(2). 837 Let o(n) = 2*n**3 - 263*n**2 + 1844*n + 1989. What is o(124)? 5 Let o(r) = 3478*r - 97163. Give o(28). 221 Let z(a) = -a**3 - 12*a**2 + 540*a - 17. Determine z(-31). 1502 Let n(w) = -966*w - 3731. What is n(-4)? 133 Let v(j) = -j**3 + 24*j**2 + 378*j - 97. Calculate v(34). 1195 Let n(o) = -o**3 + 15*o**2 - o + 64. Determine n(7). 449 Let q(v) = 2*v**3 + 41*v**2 + 99*v + 331. Determine q(-18). 169 Let g(y) = -5*y**2 + 1107*y - 28418. What is g(30)? 292 Let n(v) = -3*v**3 - 224*v**2 + 78*v + 124. Give n(-75). -101 Let i(k) = 3*k**3 + 23*k**2 - 71*k - 8. Determine i(-10). 2 Let v(m) = -225*m + 4094. Determine v(20). -406 Let t(h) = 3774*h + 6371. Determine t(-2). -1177 Let w(a) = a**3 + 30*a**2 + 14404*a + 447498. Determine w(-31). 13 Let d(q) = -q**3 - 673*q**2 - 12421*q + 3300. What is d(-654)? 30 Let p(a) = 6*a**2 + 260*a - 83095. Calculate p(98). 9 Let s(n) = -2*n**3 - 8*n**2 + 185*n + 1150. Calculate s(-6). 184 Let k(r) = -r**3 - 105*r**2 - 186*r + 2797. Calculate k(-103). 737 Let k(w) = -552*w - 2651. Determine k(-8). 1765 Let n(v) = 63*v**2 - 4440*v + 2259. What is n(70)? 159 Let o(a) = -638*a - 24460. What is o(-39)? 422 Let d(l) = 24*l**3 + 1777*l**2 + 70*l - 281. Give d(-74). 15 Let r(c) = 2*c**2 - 578*c + 25074. What is r(236)? 58 Let c(y) = 4*y**3 - 26*y**2 + 41*y + 95. Calculate c(4). 99 Let h(t) = 536*t + 32568. Determine h(-62). -664 Let z(u) = u**2 - 171*u + 3580. Give z(26). -190 Let j(k) = k**3 + 49*k**2 - 4365*k - 238. What is j(46)? -8 Let u(x) = 46*x - 823. What is u(21)? 143 Let j(d) = 26765*d - 695845. Calculate j(26). 45 Let z(a) = 41*a**2 - 3*a + 68. Give z(4). 712 Let a(i) = 15*i**2 + 205072*i - 410143. Give a(2). 61 Let o(m) = -3336*m + 53542. Calculate o(16). 166 Let u(a) = -439*a + 77145. Calculate u(176). -119 Let g(h) = 69120*h - 414701. Calculate g(6). 19 Let k(z) = z**2 - 97*z - 894. Determine k(-9). 60 Let p(c) = -36534*c + 365338. Calculate p(10). -2 Let o(d) = -773*d**2 - 12398*d + 13. Determine o(-16). 493 Let a(w) = -167*w**2 + 1490*w + 1491. Determine a(-1). -166 Let y(w) = -303*w + 65178. Determine y(218). -876 Let d(m) = 326*m**3 + 442*m**2 + 443*m - 1. Calculate d(-1). -328 Let k(p) = 48*p**3 + p**2 + 138*p + 426. Calculate k(-3). -1275 Let d(n) = -119*n - 18818. Give d(-157). -135 Let d(n) = -n**2 - 358*n + 18990. Determine d(47). -45 Let x(f) = 5*f**3 + 224*f**2 - 622*f - 25964. Determine x(-45). 1 Let b(p) = -9871*p - 50635. Calculate b(-5). -1280 Let u(s) = -17*s**2 - 263*s + 2939. Determine u(-23). -5 Let o(l) = 5*l**3 - 57*l**2 + 15*l + 132. Determine o(12). 744 Let q(f) = -4738*f - 554378. Determine q(-117). -32 Let l(g) = 19*g**3 + 111*g**2 + 38*g + 320. Give l(-6). -16 Let q(o) = -18894*o - 132263. Determine q(-7). -5 Let b(t) = -461*t**2 - 778*t + 280. Calculate b(-2). -8 Let y(d) = -d**2 - 46*d + 3000. Calculate y(34). 280 Let z(r) = 103088*r + 10102624. Give z(-98). 0 Let f(m) = 1233*m - 1055442. Determine f(856). 6 Let q(t) = 654*t - 151611. What is q(232)? 117 Let n(s) = 358*s + 40451. Determine n(-113). -3 Let w(h) = -h**3 + 178*h**2 - 2312*h + 2864. Determine w(164). 240 Let b(z) = -18431*z**2 - 442330*z + 311. Give b(-24). -25 Let j(t) = 23874*t + 95357. Determine j(-4). -139 Let u(n) = -7*n**2 + 417*n + 6153. What is u(73)? -709 Let l(g) = -6*g**2 - 1082*g - 6587. Give l(-174). 25 Let o(p) = 14943*p + 29822. Give o(-2). -64 Let o(k) = 3*k**3 - 150*k**2 - 321*k - 34. What is o(-2)? -16 Let f(i) = -228*i + 12898. What is f(38)? 4234 Let t(u) = -356*u - 4508. Determine t(-13). 120 Let z(s) = 2*s**3 + 655*s**2 - 983*s + 1010. Determine z(-329). -306 Let o(c) = -4*c**2 - 1238*c - 5930. Give o(-302). 3130 Let o(v) = v**2 + 26552*v - 239079. Determine o(9). -30 Let g(d) = 8*d**3 - 23*d**2 - 8*d + 1. What is g(3)? -14 Let v(f) = 2368*f - 40158. Give v(17). 98 Let f(l) = 597*l + 4105. Calculate f(-6). 523 Let h(x) = 42692*x + 1622322. What is h(-38)? 26 Let i(q) = -147*q**2 - 17044*q + 60. Give i(-116). -868 Let i(f) = 230*f**2 + 230448*f - 12018. What is i(-1002)? 6 Let t(i) = 2*i**3 - 53*i**2 + 148*i + 326. Calculate t(23). 27 Let y(i) = i**3 + 449*i**2 + 16360*i -
{ "pile_set_name": "DM Mathematics" }
What is ((-12)/(-60))/((-36)/75)*37/((-87875)/57)? 1/100 What is (2*(-3)/(-39)*1)/(2720/416)? 2/85 Calculate (-3)/4*785536/8664. -68 (-6608)/1416*(-110)/140 11/3 3/129*(72/(-84))/((-21)/((-147)/2)) -3/43 Evaluate (54/(-9153))/((-3)/(-9)). -2/113 ((-8)/60*27)/(8/(-220)*-11) -9 Evaluate ((-1235)/(-494))/((2/(-6))/(((-17856)/(-135))/16)). -62 Evaluate -23*312/(-312)*(-2)/10. -23/5 Calculate (-646)/19*(-4)/(-8). -17 What is the value of 2*2*1*-14*(-7)/38416*4? 2/49 Calculate (-2)/2*((-17)/(-68))/(60/(-3984)). 83/5 Evaluate (7*(160/(-8))/(-20))/((-2)/(-10)). 35 Calculate 77/(44044/2145)*(4/15)/(4/10). 5/2 Calculate (90/(-4))/5*25/30450*29*16. -12/7 What is the value of 1*(-110)/180*656/(-902)? 4/9 What is the value of 24420/(-1480)*24/(-22)? 18 Calculate ((128/(-380))/8)/((-4)/(-18)*522/(-58)). 2/95 What is ((-1696)/(-106))/(128/312)? 39 Evaluate 1/(8/20*(-230)/(-1196)). 13 What is the value of (11*34/(-12342))/((-4)/24)? 2/11 Calculate (6/(-10))/(15/825*15)*(-30)/(-42). -11/7 (13/377)/(264/1276) 1/6 Evaluate (12/64)/(1440/(-2688))*8. -14/5 Evaluate ((-149)/(35760/864))/(((-6)/(-75))/(-1)). 45 What is 3/24*-2*0/(1885/(-65))? 0 (-10)/(-6)*9/2*74702/13665 41 What is ((-645)/12040)/(24/(-32))? 1/14 What is (-491200)/514225*2/32? -4/67 Calculate ((336/2583)/4)/(45/18*(-4)/15). -2/41 Calculate (-8)/((-3760)/141)*(-260)/(-3). 26 What is (((-656)/(-32))/(297/(-22)))/(((-21)/18)/(-7))? -82/9 Calculate (1/2)/((-120)/2177040*-193). 47 Calculate -2*((-9254)/(-5949))/((-8)/90). 35 What is the value of ((-2)/5)/(((-294528)/(-120))/(-59))*4/1? 1/26 ((-12)/27)/(486/8748) -8 24/(-15)*325/(-1820) 2/7 What is the value of ((15/5)/12)/(15/(-390))? -13/2 What is the value of (240/(-180)*(-12)/(-32))/((-2)/(-64))? -16 Calculate (5/(-4))/(2/4)*47/(-235). 1/2 4/(((-31)/(9114/(-112)))/(420/(-98))) -45 Calculate ((-5696)/2432)/((-91)/3458). 89 What is ((-3)/72)/((-1)/(-5))*10*(-558)/(-18600)? -1/16 What is the value of (-6)/58*1233283/(-8901)? 43/3 Calculate (-9912)/1770*(-168)/96*(-100)/42. -70/3 Evaluate ((-108)/20)/((-344)/(-1720)). -27 4*-2*((-60)/(-144))/((-340)/180) 30/17 What is the value of (-14292)/3176*(-2)/(-36)? -1/4 What is ((1*(-12)/12)/(26/26))/(2/136)? -68 What is -12*(-15)/120*((-20)/45)/((-5)/(-30))? -4 (4422/335)/((1/(50/8))/((-16)/40)) -33 What is (330/3575)/((36/15)/((-45)/(-30)))? 3/52 Evaluate 16/(-6)*(-540)/(-8)*15/(-50)*1. 54 Evaluate (-540)/24*12/10*185/111. -45 What is ((-78)/13)/(24/(-20)*30/162)? 27 Evaluate (-256)/(-3)*3096/24768. 32/3 Calculate (-1)/2*1800/9225*328. -32 Calculate (29/(986/(-510)))/(((-63)/39)/7). 65 What is the value of (42/(-20))/(36/980*574/(-492))? 49 Calculate (2/(32/18))/(((-1620)/3888)/((-15)/(-27))). -3/2 What is the value of ((18/(108/15))/(1/(-2)))/((-1)/12)? 60 (-21)/(-12)*(-1628)/154*2 -37 What is the value of ((-99)/(-363))/(((-323)/3179)/(-19))? 51 140360/(-440)*6/132*-2 29 Calculate (6/(-15))/((-9)/(216/1736)*10/(-175)). -3/31 Calculate (6/(-48)*4)/(((-15)/(-370))/(-3)). 37 Calculate (-48)/(-4)*37026/(-8712). -51 What is ((-17)/(-306))/(16/(-288))? -1 Evaluate 4/(-170)*(-130)/156*2067/4823. 1/119 What is the value of ((-60)/56)/((-1083)/20216)? 20 What is 18227/(-18227)*(-124)/(-15)*(-3)/(-2)*-5? 62 What is the value of 1710/399*(-294)/(-189)*30/(-4)? -50 What is the value of (-4)/(320/664)*(-580)/58? 83 ((((-70)/(-14))/(-10))/(2/12))/(6/28) -14 What is the value of ((-13078)/4024)/((-13)/16)? 4 What is (58/232)/(4/40)*468/30? 39 What is the value of ((-21056)/(-1410))/56*36/(-16)? -3/5 Evaluate ((-280)/2)/(((-35)/(-1610)*-46)/((-4)/(-10))). 56 Evaluate 1*-11*(-24021)/(-15543). -17 Evaluate (-9892)/(-113758)*(-3)/6. -1/23 What is ((-2)/(-562))/(4887/(-3258)*3/9)? -2/281 Calculate (4582/(-79))/((-783)/81). 6 Evaluate (1800/(-240))/(2325/(-806)). 13/5 (67/268)/(27/18*(-171)/(-54)) 1/19 What is ((-9)/(-16))/((-8)/(-128))? 9 What is the value of 18/3*344/516*(-2)/172? -2/43 ((-4)/119)/(((-138)/(-1127))/((-54)/126)) 2/17 What is 56/(-4508)*23*(-2)/(12/21)? 1 (-22194)/(-64116)*24/27 4/13 What is the value of (3325/38)/(-35)*41/((-1025)/(-390))? -39 What is the value of (-240)/((-53280)/777)*2*(-2)/(-2)? 7 What is the value of ((-52920)/(-360))/(3/1)? 49 Calculate (80/(-288)*-6)/((1819/(-306))/(1/15)). -2/107 What is (10692/(-99))/(-216)*(-12)/162*1? -1/27 What is the value of (40416/3789)/(28/(-30)*-5)? 16/7 What is 720/(-55)*(127303/(-213))/163? 48 Calculate (((-10)/(-3))/(-2))/((-616)/264*210/2254). 23/3 Calculate (106/14)/(1*(-18)/252*-2). 53 What is (-16)/(-1)*(-5187)/6384? -13 What is (-36)/192*-8*2/57? 1/19 Calculate 1075/(-15)*(-1359)/(-2265). -43 6*(104/27144)/(5*(-5)/(-75)) 2/29 What is the value of 30/57*424935/4970? 45 What is ((-22)/6)/((((-4)/(-16))/((-6)/(-8)))/(-1))? 11 What is the value of ((-24)/3876)/((-490)/9310)? 2/17 What is (5/(-10)*1)/(1740/1392)? -2/5 What is the value of ((-4)/6)/(20*(-11)/(-594)*-3)? 3/5 Calculate (7/((-1680)/54))/(45/30). -3/20 What is the value of ((-1197)/18)/(-19)*(-1)/(-4)*(-2480)/(-62)? 35 3/3*(-310)/140*-21*(-2)/(-1) 93 ((-42)/2*(-110)/2310*23/2)/1 23/2 What is the value of ((-42)/10)/(542/2710)? -21 -84*76/(-10640)*(-30)/(-4)*(-6)/(-1) 27 Calculate (6/585)/(16/(-24))*(-690)/414. 1/39 24*(-75)/2400*136/(-6) 17 Evaluate 3570*(-183)/(-8235)*(-12)/2*1/(-4). 119 What is the value of ((-16)/(-24))/((10*7/(-105))/44)? -44 Calculate 2295/918*(-1001)/(-220)*6/7. 39/4 Evaluate (((-260)/(-936))/(2/4))/(34/72*15). 4/51 Calculate (3/(-10))/(3696/(-220)). 1/56 (8/(-7))/(17910/125370) -8 (276/460)/(36/(-160)) -8/3 Evaluate (-39)/(-130)*(-272)/1224. -1/15 Evaluate 777/(-2184)*13*(-12)/(-3). -37/2 What is the value of 38*(-4)/2*38/2698*71? -76 What is (-1*3/(-30))/(42/12495*34)? 7/8 Calculate ((-4)/2)/((2/(-35))/(79/(-127980)*54)). -7/6 What is the value of ((-32)/(-1920))/(569/(-279948))? -41/5 Evaluate (-41470)/(-14355)*((-16)/(-40))/(-1*4/15). -13/3 What is the value of 2*3/1*2*45129/(-30086)? -18 ((-472)/944)/(10/15*6/(-152)*1) 19 What is the value of ((-152)/(-6))/((2/(-27))/(-30*(-37)/9990))? -38 2/2*5502/(-28558)*-109 21 What is (21/(-595)*-2)/(1*(-8)/120)? -18/17 (36/(-20)*-1)/((-3)/144*528/(-165)) 27 Calculate (((-21504)/80)/(-224))/((-48)/(-15)*1). 3/8 What is (-3*1*(-30)/(-234))/(7*(-12)/546)? 5/2 What is the value of ((-2)/6*(-71)/(-142)*8)/((-8)/438)? 73 Calculate ((-9720)/(-300))/((-3)/((-9)/12))*(-6)/9. -27/5 What is the value of ((-6)/(-30)*2)/(-5)? -2/25 (-11*(-20)/(-3080))/(6/(-441)) 21/4 Evaluate (15/(-582))/(465/(-372)). 2/97 Calculate 6/9*9/(-8)*64/(-56)*-14. -12 What is 18/(-3)*(58667/42)/289? -29 Calculate ((-182483)/(-597))/(518/222). 131 Calculate 294/(-6)*10/35*-7. 98 (-28)/182*13*(-260)/60 26/3 9/6*((-23674)/2508)/89*4/(-14) 1/22 What is (11/704*-8)/((-420)/448)? 2/15 Evaluate (-1)/(5*2/(-170))*(-335)/(-67). 85 Evaluate ((402/54)/((-28)/56))/((-12)/54). 67 What is 10/((-182)/(-168)*-12)? -10/13 Calculate (-247)/(232180/(-564))*10/(-94). -3/47 180/21*(-15162)/3249 -40 Evaluate ((-80)/(-3))/(-16)*(-750)/((-700)/(-28)). 50 What is the value of (1555038/(-105589))/(9/(-22))? 36 What is ((-5973)/5430)/(55/(-25))? 1/2 ((-97461)/21756)/(-221)*4*-1 -3/37 What is the value of (((-855)/(-702))/(-19))/(((-24)/32)/((-9)/(-2)))? 5/13 Calculate (-1)/(56*46/(-6624)). 18/7 4/30*15595/(-53023) -2/51 Calculate -40*-8*13/(-156)*-1*24/(-20). -32 (-111)/(((-14)/(28/4))/(110/165)) 37 Calculate 1/((-3)/4)*51*(-7)/(-10710). -2/45 What is ((-294)/((-1449)/69))/(10/20)? 28 What is (-12300)/(-984)*11/(-25)? -11/2 Evaluate ((-384)/756)/((-156)/9828). 32 Calculate ((-27)/108)/((-14)/(-1288)). -23 Calculate 2*((-20865)/(-7540))/107. 3/58 (23/1)/(17*(-125)/6375) -69 What is the value of (-2)/12*((-24)/34)/(37/(8177/(-26)))? -1 Evaluate (-21)/(11256/(-67))*-88. -11 What is the value of (-48)/(-3)*(518154/584)/273? 52 What is the value of -1*(-85)/(425/30)? 6 Calculate 95/228*4089/(-235). -29/4 What is ((243/(-162))/((-3)/(-62)))/((-3)/(-6))? -62 Evaluate ((-12)/(-70))/(1744/(-4360)). -3/7 Calculate (-7)/15*(-109836)/(-24408). -21/10 What is (24/(-15))/4*-1*6710/(-6039)? -4/9 5/(-240)*-9*900/(-540) -5/16 Calculate (-3*(-15)/(-10))/((-137)/((-184128)/63)). -96 Evaluate ((-1428)/(-680))/(171/2280). 28 What is ((-9)/585*-767*(-10)/(-14))/((-64)/112)? -59/4 Evaluate (40986/(-495))/((-342)/
{ "pile_set_name": "DM Mathematics" }
47 is divided by u. 7 Calculate the remainder when 5/(-4 - (-39879)/9961) is divided by 89. 88 Suppose -10*o - 3 = -333. Suppose -o*d - 1425 = -38*d. Calculate the remainder when d is divided by 12. 9 Let c = -54 - -343. Suppose -59*s + 57*s = -58. Calculate the remainder when c is divided by s. 28 Let i(o) = -7*o**2 + 2*o + 2. Let u be i(2). Let m = 23 + u. Let x(z) = 74*z**2 + z - 1. What is the remainder when x(m) is divided by 19? 17 Let u be 54/(-12)*(-3 + 1). Suppose 135 - 621 = -u*y. Suppose -3*x - 4*d = -3*d - 44, d = 4*x - y. Calculate the remainder when 67 is divided by x. 11 Suppose -3 = -4*t + 5. Suppose -29 = t*m - 45. Suppose 0 = d - 11 - m. Calculate the remainder when 55 is divided by d. 17 Calculate the remainder when 4990 is divided by (-12352)/(-192) - (-1)/(-3). 62 Suppose 0 = x + h - 141, -h + 26 = 3*x - 399. What is the remainder when x is divided by 41? 19 Suppose -4*z - 7*z = -209. Calculate the remainder when 180/(-360) + 286/4 + 2 is divided by z. 16 Suppose -5*p = 5*g - 4495, -138*p = 5*g - 140*p - 4453. What is the remainder when 945 is divided by g? 52 Let a = -28243 - -29143. Calculate the remainder when 1810 is divided by a. 10 Let a(x) = x**3 + 59*x**2 + 218*x + 104. What is the remainder when 434 is divided by a(-55)? 6 Let w(i) be the second derivative of i**5/20 - 5*i**3/3 - 2*i**2 - 4*i. Calculate the remainder when w(5) is divided by 18. 17 Suppose 0 = -j + 15*j + 420. Let m(k) = -3*k - 3. Calculate the remainder when ((-40)/(-6) - 7)*j is divided by m(-3). 4 Suppose -2*b = 2*s - 4, -4*b + 4*s + 15 = -1. Suppose 10*n - 108 = -6*n + 4*n. Calculate the remainder when n is divided by b. 0 Suppose 18 + 6 = 12*p. Suppose -34*a = -385 - 363. Calculate the remainder when (-24)/(-8) - (p + -60) is divided by a. 17 Let w(b) = -b**3 + 5*b + 12. Let j be w(-4). Let t be (0 - 3/(-2)) + (-3780)/j. Let u = t - -81. Calculate the remainder when u is divided by 4. 3 Let w(y) = 42*y**2 - 35*y - 120. What is the remainder when w(-4) is divided by 27? 17 Let h = 179 - 175. Calculate the remainder when 110 is divided by 1*h*(2387/(-44))/(-7). 17 Let k = 7170 + -3644. Calculate the remainder when k is divided by 56. 54 Let r(j) = -6*j - 23. Let u be r(-4). Calculate the remainder when 1/u*(-5 - -142) is divided by 36. 29 Let l(f) = f**3 - 21*f**2 - 43*f - 73. Let p be l(24). Let i = p + -609. Calculate the remainder when i is divided by 8. 6 Suppose -n + 46 = -2*a, -a + 224 = 3*n + 58. What is the remainder when 79 is divided by n? 25 Let x = 1164 - 949. Suppose n - 16 = -3*n. Suppose 41 + x = n*q. What is the remainder when q is divided by 6? 4 Let c(f) = f**2 + 11*f - 12. Let h(y) = y + 1. Let r(o) = -c(o) - 5*h(o). Let i = -31 + 23. What is the remainder when r(i) is divided by 19? 14 Calculate the remainder when 1038 - 182/((-28)/(-2)) is divided by 128. 1 Suppose -12 = -11*o + 5*o. Let b(m) = -3*m**3 - 5*m**2 + 2*m - 9. Let p be b(-6). Suppose -w - o*w = -p. Calculate the remainder when w is divided by 38. 35 Let p(o) be the first derivative of 3*o**4/2 + 3*o**2/2 - 4*o + 183. Suppose z = -0*z + 3. What is the remainder when p(z) is divided by 42? 41 Suppose 0 = 3*h + 2*h + 35. Let b(y) = -24*y - 1. Let a(p) = -348*p + 42. Let s(d) = -a(d) + 15*b(d). Calculate the remainder when s(h) is divided by 10. 7 Suppose 0 = -2*x - 2*h + 5420, 5*x = h + 2*h + 13542. Let d = -601 + 634. Calculate the remainder when (4/6)/(14/x) is divided by d. 30 Let a(w) = 5*w**2 + 42*w + 176. Calculate the remainder when a(-7) is divided by 56. 15 Let d(s) = s**2 - 11*s + 5. Let y be d(10). Let z be (0 + (-60)/8)*(-96)/(-18). What is the remainder when ((-22)/y)/(2*(-1)/z) is divided by 13? 10 Let x(w) = 178*w**2 - 72*w + 127. Calculate the remainder when x(2) is divided by 50. 45 Suppose 4*t - 2*w - 38 = 2, -5*t - 3*w = -61. Suppose 187 = t*g - 0*g. What is the remainder when 20 is divided by g? 3 Let y be 1*(20 + (-3)/((-3)/(-1))). Suppose -v + 55 + y = 0. Calculate the remainder when v is divided by 26. 22 Suppose g - 2542 = 4*t, -5*t - 171 = -4*g + 10041. What is the remainder when g is divided by 45? 38 Suppose 0 = 5*o + 5*u - 45, 4*o + 145 = 4*u + 213. Calculate the remainder when 470 is divided by o. 2 Let h(c) = -c**2 - 8*c - 2. Calculate the remainder when 5*154/275*165/22 is divided by h(-5). 8 Suppose -3*r = 2*s - 375, 0*s = -2*r + s + 243. Calculate the remainder when r is divided by (46/(-5))/(196/(-1470)). 54 Suppose 2*p - 6*a = -5*a + 1337, -5*p + 5*a + 3330 = 0. What is the remainder when p is divided by 114? 101 Calculate the remainder when 1/5 + 504/5 is divided by (459/(-816))/(10/(-480)). 20 Let s(m) = 234*m - 2930. Calculate the remainder when s(13) is divided by 89. 23 Let a(s) be the second derivative of s**5/20 + 2*s**4/3 - 25*s**3/6 - 8*s**2 - 34*s. What is the remainder when 66 is divided by a(-10)? 32 Let j = 41 - 18. Suppose -2*l = -2*f - 53 - 109, 5*f + 414 = 2*l. Let o = -17 - f. What is the remainder when o is divided by j? 21 What is the remainder when (-19)/(912/(-32272)) + (-3)/9 + 0 is divided by 86? 70 Let g be 0 + -5 - ((7 - 12) + -14). Suppose 61 - 16 = 5*m. Suppose g*k = m*k + 420. Calculate the remainder when k is divided by 5. 4 Calculate the remainder when (-4 - (3 + -5))*37787/(-58) is divided by 53. 31 Let p be 2394/4*30/45. Let z = p - 379. What is the remainder when 270 is divided by z? 10 Suppose 96*h + 2*h - 6804 = -28*h. Calculate the remainder when 863 is divided by h. 53 Let t be (1/((-14)/296))/(186/(-651)). Suppose 98*d - 264 = t*d. What is the remainder when 2 + -2 - (1 - 54) is divided by d? 9 Let c(l) = 34*l - 730. Calculate the remainder when 124 is divided by c(22). 16 Let b(g) = g**3 + 6*g**2 + g - 12. Suppose w = -0*w - 44. Let t = 39 + w. What is the remainder when 13 is divided by b(t)? 5 Let b(a) = 3*a**3 + a**2 + 2*a - 1. Let l = 59 - 58. Calculate the remainder when 133 is divided by b(l). 3 Let w = -1235 + 1953. Let m = w + -625. Calculate the remainder when 179 is divided by m. 86 Let t be (-3)/((-2)/(-9) + (-143)/819). Let y = -45 - t. Suppose u + 1 = 0, b = u - 5*u - 1. Calculate the remainder when y is divided by b. 0 What is the remainder when 116 - (8 - (-165)/(-15)) is divided by 91? 28 Let r(c) = 12*c**2 - 3*c - 3. Suppose -4*a = 2*x + 5 - 3, -2*x - 4 = 2*a. Let o be r(x). What is the remainder when ((-2)/3)/((-4)/o) is divided by 5? 4 Suppose 125*m = 88*m + 2960. Calculate the remainder when 500 is divided by m. 20 Let s be (-46)/6 - (-9)/(-27). Let q(z) = -2*z - 3. Calculate the remainder when 45 is divided by q(s). 6 Let k be ((-265)/(-371))/(2/14). Suppose q + 3*b = -1 + 144, -2*b - 647 = -k*q. What is the remainder when q is divided by 35? 26 Let q(c) = c**3 + 5*c**2 - 3*c - 3. Let j = 7812 - 4578. Suppose -25*u = -58*u + j. What is the remainder when u is divided by q(-4)? 23 Calculate the remainder when 67 + (3 - (-2 + (-7)/(14/(-12)))) is divided by 9. 3 What is the remainder when 17/(3 - 12696/4590 - 14/63) is divided by 15? 5 Suppose -2338 = 6*h - 544. Let l = h + 318. Calculate the remainder when 54 is divided by l. 16 Let v(t) = 900*t - 3581. Calculate the remainder when 146 is divided by v(4). 13 Let b = 51 + -35. Let u be -5*(b/(-5) + 4). What is the remainder when (-1)/(-3) + -4*u/24 is divided by 1? 0 Suppose 0*k + 3*k + 3*s - 27 = 0, -2*k + 4*s = 0. Calculate the remainder when ((-68)/6)/(k/(-9)) is divided by 7. 3 Let t = 106 + -100. Suppose 0*c - t = -d - c, 0 = -2*d + 4*c. Let b(k) = k**3 - 3*k + 5. What is the remainder when b(d) is divided by 30? 27 Let d(i) = 6*i - 27. Let r be d(12). Suppose -b = 28 - r. What is the remainder when 83 + 2/4*-2 is divided by b? 14 Let j = 160 - 1. Let b = 205 - j. What is the remainder when 137 is divided by b? 45 Let z be (4/2)/((-124)/41354). Let t = 728 + z. Calculate the remainder when 120 is divided by t. 59 Let n be (0 - -5)*6/10. Suppose 5*a - n*t = 7*a - 19, t + 15 = 2*a. Calculate the remainder when a is divided by 5. 3 Let c = 3113 - 2383. Calculate the remainder when c is divided by 16. 10 Suppose -42*h - 6970 = -124*h. Calculate the remainder when 144 is divided by h. 59 Let d(i) = 6*i**2 - 7*i - 7. Suppose -5*a = l + 191, 4*l + 0*l - a = -659. Let p = -71 - l. What is the remainder when p is divided by
{ "pile_set_name": "DM Mathematics" }
te -10 + (6 - -1) + -3 - (5 - 14) - 2. 1 -6 - ((-35 - (-17 + 10)) + 0) 22 What is -14 - (52 + -156 + 29)? 61 What is 67 + 19 + -74 - 41? -29 Calculate 4 + (21 + -22 - (1 + -8)) + -366 + 402. 46 Evaluate (-29 - -41 - 88) + 9 + (-10 - -4) + 5. -68 -21 - (6 - -1) - (889 - 860) -57 (-237 - -416) + -86 + (-2 + 2 - 9) 84 Calculate 6 - ((-49 - -101) + -50 - (-6 + 0)). -2 Calculate -6 + 34 + (-471 - -465). 22 Calculate 112 + (-3 - -6 - 1) + (37 - (47 + 5)). 99 Calculate -26 - ((61 - 61) + 32 + -7). -51 476 + -467 + 48 + (1 - (-1 - 3 - -4)) 58 Evaluate 165 + -165 + -4 + -42 + (-11 - -7). -50 (11 - 13) + (69 - 1) + 38 + -35 + 0 69 What is 14 + -46 + 26 - -67? 61 69 + 16 + -141 - (2 + -14) -44 Evaluate 9 - (-5 + -9 + 6) - (6 - (6 - 12)). 5 What is (-12 - 24) + 34 - (-2 + -67) - 9? 58 (31 - (33 + -31)) + -40 -11 Evaluate -37 + (-38 - -63) + -24. -36 What is (61 - (-88 + 84)) + (46 - 7)? 104 Evaluate 78 + (14 - (1 + 12 + -25 + 12 + 22)). 70 What is the value of 3 - -16 - (-1109 + 1062)? 66 What is 62 - 51 - 27 - (51 + -4)? -63 What is 5 + 0 + (-4 - (42 + -1))? -40 What is (182 - (46 + -49)) + -87? 98 Evaluate 20 + 1 + -3 + 1 + (79 - 73). 25 (16 - (62 - -11)) + 89 32 Evaluate 7 + 0 + (33 + -2 + -6 - 9 - 8). 15 Evaluate -18 + 10 + 71 + 11 + -26 + -1. 47 Calculate -1 + (6 - -2) + -3 + -35 + -7. -38 What is 68 + 12 + -30 + -24? 26 Calculate (-7 - 0) + 3 + 4 + 1 + -4 + 5. 2 Calculate -48 + (-1 - (-27 + -13)). -9 Evaluate 2 + (14 - (-2 - -23)) + 23 - -1. 19 What is the value of (2 - -44) + -78 + -1 + -23? -56 What is the value of 3 + 2 - -31 - ((41 - 36) + 1 + 2)? 28 What is (-24 - 8) + 115 - ((-1 - 14) + 3)? 95 Evaluate (-21 - (-3 + 0)) + 34 + -26. -10 Evaluate (-16 + -1 + -15 + 21 - -8) + 7 + -9. -5 What is the value of -83 + (-27 - -45) - (-10 - (4 - (4 + -2)))? -53 What is the value of -39 + (-4 - -35) + -6? -14 Calculate 52 - 1 - 2 - (2856 + -2868). 61 What is the value of -831 + 817 + (-1 - (4 + -8 - -36))? -47 Evaluate (824 - 771) + (-3 - 79). -29 Evaluate 24 - (0 - (3 + -8) - -5) - 55. -41 What is (27 - 33) + -9 + -2 + -1? -18 What is the value of 57 + -8 - 89 - -49 - (102 - (-1 + 1))? -93 What is the value of 9 - (-50 - (-6 + -38))? 15 Evaluate 58 + -51 + 13 + 27. 47 185 - (27 - 98 - -134) 122 What is -15 - (3 + -38 + -8 + 32)? -4 What is -28 + (30 + 0 - 20) - -13? -5 What is 10 + -6 + -7 + 23 + (8 - 8) + 6? 26 Evaluate (-5 - -3) + -20 + (0 - 13 - 41). -76 What is (156 + -143 - -109) + -209? -87 65 - (-237 + 266 - (63 - -1)) 100 Evaluate 31 - (-4 - (-15 + -35)). -15 Evaluate -20 - (38 + 38 + -15). -81 Calculate -367 + 348 + (50 - -2) + 4. 37 (-94 - -17 - (-1 + 0 + 1 + 5)) + 9 -73 What is the value of -43 - (-25 + -22 + 26 + -16)? -6 Evaluate -25 + (-1 + -8 - (-337 + 299)) + -55 + -1. -52 Calculate (-13 - 29) + 10 - (2 + 3 + (17 - 25)). -29 (8 - (23 + (20 - 45))) + -20 -10 Evaluate (-77 - -5) + 14 + 21 + -64. -101 What is -35 + 0 - (-13 - (-17 - 20) - 14)? -45 Evaluate -10 - (9 - -2) - -27. 6 Calculate -3 + (50 - 8) + 5. 44 What is (0 + -1 - 46) + (-20 - -20) - (-540 - -552)? -59 Calculate 93 + (26 + -40 - (-4 - (16 - 4))). 95 0 + 641 + -629 + -3 + (0 - 0) + -65 -56 What is the value of (765 - 749) + -2 + -2 + -58 + 0? -46 Calculate -6 + (4 - 2) + -4 - (-7 + 1 + -12). 10 (-27 - -2) + -1 + -62 + 60 + (-115 - -114) -29 What is the value of (-10 - (-3 + 14 + -12)) + 52? 43 Evaluate 20 + 0 - (38 - (-34 + 61) - 9). 18 Evaluate (-1 - 69) + 1444 + -1325. 49 Calculate -23 - (2 - (60 - (-20 - 5))). 60 What is the value of (-1 + 2 - 16) + 1271 + -1201? 55 What is -6 + -15 + 12 - (-8 + 2 + 3 + -33)? 27 -18 + (-20 - -3) - (82 - 42) -75 What is the value of -45 + -3 + 48 + -8? -8 Evaluate 31 - (-5 + 12 + 19 + -21). 26 -34 - (-34 + (63 - 81)) 18 What is (-15 - -19 - (-72 - -1)) + -517 + 515? 73 What is (-6 - (2 - (2 - 5))) + (-27 - -27) + -51? -62 What is -131 + 83 + 139 + -144? -53 (-242 - (50 + -248)) + (-19 - 1) -64 What is 2 - (-63 + -46) - 50? 61 What is -118 + 9 + (199 - 151)? -61 Evaluate (2 - 2) + 26 + (-13 - -3) + -2 - 86. -72 What is 84 - (-67 - (-193 - -9))? -33 What is -4 + 4 - (1 + (4 - (17 - 28)))? -16 Calculate 66 + -2 + (-7 - (-19 - (-39 + 32))). 69 What is the value of 2 + -6 - (18 - -1 - 1)? -22 47 - ((-3 - -21) + (-22 - -6)) - -16 61 Evaluate 2 + 1 - (1 - 3) - (1036 + -1110) - 1. 78 What is (8 - 8) + -9 - (-253 - -296)? -52 What is -22 - (10 + (-12 - -17 - 16) + -5)? -16 Evaluate (-4 + 13 - (-3 + 15 + 91)) + -8. -102 Evaluate 136 - (19 + 1 - ((62 - 27) + -33)). 118 Calculate (0 - 0) + (0 - 11) - (140 + 489 + -571). -69 -28 + 27 + 36 + -61 + -81 -107 Evaluate (2 + 4 - -3) + (42 - (-21 - (-5 + -11))). 56 What is 16 - ((5 - (19 - 37)) + 2)? -9 Calculate -66 + (-44 - (-18 - 80)). -12 Evaluate (118 - 57) + -16 + 5. 50 Evaluate (15 + (-52 - -19) + 40 - 11) + 7. 18 Calculate -7 + -10 + -1 + 13 + 40 + -36. -1 What is 58 + (-18 - (-18 - 3) - 19)? 42 Evaluate 128 + 39 + -20 + -52. 95 Calculate (-4 - -4) + (-3 + 7 + -7 - (-100 + -6)). 103 What is the value of -48 + 36 + (10 + -65 - 0)? -67 What is the value of 746 + -712 + -70 + 6? -30 Evaluate 9 + (-11 - -10 - (-29 + -6 + 0 + 6)). 37 Calculate 6 + (4 - -3 - 9 - (2 + -1)) - 54. -51 Calculate (126 - (-13 + 86)) + 10. 63 Evaluate (0 - 1) + -9 + 234 + -229 + 7. 2 Evaluate 33 - ((58 - 52) + (-2 - -3) + 1 + -5). 30 Evaluate -1 + (18 - (6 - (-4 + -17))) - 26. -36 Calculate (0 - -6) + 124 - (-916 - -932). 114 71 - (19 - (21 + -6)) 67 Calculate ((-3 - 11) + 18 - 28) + -5 + 3. -26 What is 23 - -1 - (-30 - (-75 - -54))? 33 What is -1 + -4 - (17 + (5 + -9 - (21 + -60)))? -57 (35 - 9) + -45 - (-84 + 1 + -4) 68 What is the value of 76 - (43 - 37 - -51)? 19 What is 22 - 38 - (-25 + (28 + -1 - 14))? -4 Calculate (-8 + (-73 - -39) - -17) + -1 + 164. 138 Evaluate (7 - -6) + 11 + -20 - (-13 - -49 - -16). -48 What is the value of -45 - (-24 - (-57 + 42))? -36 (-5 - -12) + (-2 - 0 - 47) - (53 - 42) -53 Evaluate (3 - -4 - (245 + -188)) + -2 + 11 + -4. -45 What is the value of 21 + -17 - -38 - 35? 7 98 + -73 + (0 - -11 - -14) 50 (26 - 48) + 18 + (-1 - (1 + -62)) 56 Calculate (-37 - 1) + (-24457 - -24437). -58 Calculate 31 - (48 - (-31 + -8)) - -15. -41 What is (93 - 108) + -2 + (12 - 10)? -15 Calculate (-21 + 19 + 21 - 2) + (30 - -6). 53 27 - (-4 + -30 + 7 + -5) 59 Evaluate (-2 + 46 - (-85 - -95)) + -120. -86 What is the value of -84 + 5 - (-64 + (-2 - -54))? -67 (1 - 3) + 1 + -13 + -37 + 109 58 -16 + 9 + -10 - (51 - 86) 18 -16 + (11 - (6 + 7)) + 13 - 9 -14 Evaluate -25 + 464 + -488 + 1 + 8. -40 Calculate -8 - (-6 + 4 + 15 - (148 - 140)). -13 Calculate (13 - -9 - 31) + (-111 - -150). 30 (66 - 31) + -1 + -26 - (-1 + 0) 9 What is the value of 1 + -136 + 91 + 143? 99 Evaluate (34 - (72 - 12)) + -6. -32 Evaluate (61 - (-71 + 216)) + 84. 0 Evaluate (20 + -32 - (25 - 16 - 31)) + -4. 6 Evaluate 1 + -2 + -6 + (-2 - -9 - 3) + 7. 4 12 + (-3 - (-5 + -6)) + 8 + 1 29 What is 88 - (-14 - (-56 - -34))? 80 What is the value of (11 - 0 - (-244 + 254)) + -80? -79 11 - (-6 + 24 - 3 - -5) -9 What is (148 - 9) + (382 - 585)? -64 Calculate 81 + (-31 + 32 - ((31 - 24) + (-1 - 1))). 77 (-23 + 53 - 83) + (-4 - 5) + -3 -65 Evaluate (7 - (27 - (9 - 1))) + -12 + -67. -91 (4 - -3) + 38 + -27 + 22 40 What is the value of 5 + 9 + (7 - -18 - 8)? 31 What is the value of -133 + 113 + -37 + 87? 30 33 + -2 - (11 + -33 - -6) 47 Evaluate 59 + -36 + 22 + -26 + -2. 17 Calculate -1843 - -1788 - (2 + -55). -2 Evaluate -1 + (-26 - -100) - -2. 75 Evaluate -5105 - -4886 - (-3 - 116). -100 Calculate 8 + (37 - (175 + -69)). -61 Evaluate -6 + -1 + (-298 - -279) + 6. -20 8 + (1 - (12 + 7 - 13)) + (20 - -1) 24 11 + (-19 - -8) - (-135 - (-59 - -27)) 103 Calculate -10 + (198 + -278 - (-16 - 3)). -71 Evaluate 1 + -15 + -97 + 87 + -24. -48 Calculate -34 + 31 - (2 - 2 - -92) - (-210 - -217). -102 Evaluate 11 + -16 + -131 + 95. -41 (-22 - -12) + (8 - 13) + 21 - -9 15 -54 + (-11 - -21 - (-20 - -12 - (-1 + -11))) -48 Evaluate -24 - (41 - 31 - (2 - 12)). -44 What is the value of (-47 - (-54 - -52)) + 70? 25 What is the value of (-45 - -100) + -6 + -12? 37 (77 - 93 - 33) + -41 -90 Calculate (14 - 0 - -2) + 4141 + -4044 + -1. 112 What is the value of -9 - 0 - 4 - (4 + (-18 - -17 - 8))? -8 What is the value of 4 + (0 - 0) + (10360 - 10358)? 6 -108 - (-6 + (-111 - -41)) -32 What is the va
{ "pile_set_name": "DM Mathematics" }
27)))**2 - (-6*(sqrt(132)*-3 - sqrt(33))/(sqrt(3) + (sqrt(432)*1 - sqrt(432)) + sqrt(3)))**2. -52917/16 + 235*sqrt(11)/2 Simplify -1 + 4 + 5*(sqrt(1053) + 1)**2 + (-1*(sqrt(1573) + (sqrt(1573) + 2*sqrt(1573))*-2))**2. 90*sqrt(13) + 44598 Simplify (-1*sqrt(3264)*3*4)/((sqrt(120) + sqrt(30))/sqrt(10) - sqrt(108)*2). 32*sqrt(17)/3 Simplify 1 + ((6*sqrt(98) - (3*sqrt(72) - sqrt(2))) + (sqrt(120)/(-1*sqrt(10)) - sqrt(12))/(-6*sqrt(18)/sqrt(3)))**2. 11561/9 Simplify (-4*(sqrt(208) + 0) + sqrt(208) + sqrt(208) + -6*((-1*sqrt(208) - sqrt(208)) + sqrt(208)) + 2*(sqrt(13) + sqrt(13)*-3*3)*6)**2. 83200 Simplify (2*((-5*-2*sqrt(19) + sqrt(95)/sqrt(5) + -3 - (-3*sqrt(684) + -2 - sqrt(684))) + 4))**2. 840*sqrt(19) + 93136 Simplify 5 + 0 + (1*sqrt(117)*-6 - (sqrt(117) - (-4 + sqrt(117) + sqrt(117)*-2)**2)) + -1 + 1. 3*sqrt(13) + 138 Simplify ((-2*sqrt(44)/sqrt(4) + 2*sqrt(176))*2 + -4*4*(-5 + sqrt(88)/sqrt(8)))**2. -640*sqrt(11) + 6576 Simplify (-3*(4 + -5*sqrt(684) + (sqrt(684) - (sqrt(684) - (sqrt(684) + sqrt(684)*-2))) + sqrt(684) + sqrt(684) + -2)*-4)**2. -13824*sqrt(19) + 1576512 Simplify (-1*sqrt(176)*6*-5)**2 - ((sqrt(396) - (sqrt(396) - sqrt(396)*-1)*-5)/sqrt(9))**2. 153076 Simplify (-5*sqrt(4896)*-1 - -2*sqrt(4896)*1)/((sqrt(14) - (sqrt(14) + sqrt(56)*-4))/(sqrt(7) - -2*sqrt(343))). 315*sqrt(17)/2 Simplify (-3*sqrt(44) + -5 + sqrt(44)*3 + 2 - ((sqrt(110)/sqrt(160) - sqrt(11)*2*6) + sqrt(44)/sqrt(16) + -1))**2. -45*sqrt(11) + 22339/16 Simplify ((sqrt(360) - -2*4*sqrt(360))/sqrt(10))/((sqrt(1452) - (sqrt(1452) + -2*sqrt(1452)))*4)*-3. -27*sqrt(3)/88 Simplify 5 + (1 + -3 + sqrt(176) + -2 + (sqrt(176) + 0)*-1)**2 + 0 + 4. 25 Simplify (5*((5 + 0 + sqrt(275))*1 - (sqrt(77)/(sqrt(35)/(-3*sqrt(5) + sqrt(5) - sqrt(5))) + -5)))**2. 4000*sqrt(11) + 20100 Simplify (4 + (6*(sqrt(1008) - ((-2*sqrt(1008) - sqrt(1008))*3)**2) - (sqrt(1008) + ((sqrt(1008) + 0)*-6)**2 + 4)))*-3. -180*sqrt(7) + 1578528 Simplify ((sqrt(3388)*-3 - sqrt(3388))*-6*2 + -3*(sqrt(3388) + -2 + sqrt(3388) - sqrt(3388)) + (sqrt(3388) - (-1*sqrt(3388) + -4)) + 0)**2. 20680*sqrt(7) + 7484192 Simplify (((6*(sqrt(30)*-2 - sqrt(30)) - sqrt(30)) + sqrt(90)/sqrt(27))/(4*(sqrt(162)/sqrt(3) + 4*sqrt(24)/sqrt(4))))**2. 20/9 Simplify (-1 + 3*(-4 + (sqrt(2448) - (2 + sqrt(2448)*-2)) + -1 + 3))**2. -2808*sqrt(17) + 198457 Simplify -3 + (-2*(sqrt(405) - (sqrt(405) + 2 + sqrt(405) + -1 + sqrt(405))) + 5 + (sqrt(405) + 1*sqrt(405))*-1)**2. 252*sqrt(5) + 1666 Simplify (-2 + -4 + -5 + sqrt(320) + sqrt(320) + sqrt(320) + 4 + -2 + -1 + -1)**2. -528*sqrt(5) + 3001 Simplify 5 + sqrt(98) + -2 + 0 + 0 + (sqrt(98) + sqrt(98) + -2 + sqrt(98) + sqrt(98) + -2)**2 + 0. -217*sqrt(2) + 1587 Simplify (2*5*sqrt(187)*-1*6)/((sqrt(44)*4 - sqrt(11)) + sqrt(99)/(-2*sqrt(9))). -120*sqrt(17)/13 Simplify ((5*(sqrt(500) - (3 + sqrt(500)*3)) + (sqrt(405) + 4 + sqrt(405))*1*-6)*-4)**2. 259584*sqrt(5) + 3485456 Simplify (-2*sqrt(85)*-2 + 3*((-1*sqrt(85) - sqrt(85)) + sqrt(85)))/((sqrt(4050)*1)/(sqrt(1000) + sqrt(1000)*2)). 10*sqrt(17)/3 Simplify (1*sqrt(350)/sqrt(7) - sqrt(500)/sqrt(10)*4)/((2*sqrt(20))/sqrt(2) - (5*sqrt(1440) + sqrt(1440))). 3*sqrt(5)/70 Simplify -1 + -5 + -1 + -4*((2 + sqrt(108)*-1 - sqrt(108)) + (sqrt(108)*-2 - sqrt(108)) + 5). -35 + 120*sqrt(3) Simplify -1 + ((-2*(sqrt(5) + sqrt(25)/sqrt(5)) - sqrt(5)) + sqrt(20)*-1 - (5 + 3 + 2*sqrt(180)))**2. 304*sqrt(5) + 1868 Simplify -3 + (sqrt(392) + sqrt(392)*-2 + sqrt(392) + ((sqrt(8) + sqrt(32)/sqrt(4))*-4 - sqrt(8)))/(-4*(sqrt(4) + sqrt(16)) + sqrt(36)*1). -3 + sqrt(2) Simplify (-4*(sqrt(112)/sqrt(4) + sqrt(28))*5)/(sqrt(40)/sqrt(1440)). -480*sqrt(7) Simplify sqrt(156)/(sqrt(12) + (sqrt(12) + sqrt(60)/sqrt(5))*5)*-2 + (2*(sqrt(208) - (4 + sqrt(208) + -4)))**2. -2*sqrt(13)/11 Simplify 5 + ((0 + sqrt(252) - sqrt(252)) + 1 + sqrt(252) + 5)**2*4*3 + 4 + -1. 864*sqrt(7) + 3464 Simplify -1 + -2*sqrt(242)*3 + 4*(2 + sqrt(6)/sqrt(75))**2 + -1. -314*sqrt(2)/5 + 358/25 Simplify (6*sqrt(144)/(-1*sqrt(972)) + 4*(sqrt(132)/(sqrt(11) - sqrt(275)) + 2))**2. -160*sqrt(3)/3 + 292/3 Simplify 1*(4*((sqrt(208) + 5*(sqrt(208)*-1 - sqrt(208)) + sqrt(208) + sqrt(208))/sqrt(4))**2 + 2)*3. 30582 Simplify 0 + ((-1 + sqrt(147))*5 + -4 - -4*5*(sqrt(147)*-1 + sqrt(147))**2) + 2. -7 + 35*sqrt(3) Simplify 3*(-4 + ((4*-1*sqrt(10) + sqrt(10))*3)/(sqrt(4)/(-1*sqrt(200)))). -12 + 270*sqrt(5) Simplify (-3*sqrt(1500) - sqrt(8640)*2)/(sqrt(60)/sqrt(20) - (-3*sqrt(432) + sqrt(432)))*-1. 78*sqrt(5)/25 Simplify (sqrt(104)*-2*1*4*-6)/((sqrt(8) + sqrt(8)*-2)*-1 - sqrt(968)*2)*-2. 32*sqrt(13)/7 Simplify (4*(sqrt(143) + sqrt(143)*1)*5)/(sqrt(110)/(1*sqrt(640))). 320*sqrt(13) Simplify ((2*sqrt(286)*6 + sqrt(286))/(sqrt(11) + (1*sqrt(88))/sqrt(8) - sqrt(11)))/(-5*sqrt(18)*1 + sqrt(882)*-2). -13*sqrt(13)/57 Simplify (2*-1*sqrt(84)*1*-2)/((sqrt(588) + 2*sqrt(588))*-2*6). -sqrt(7)/63 Simplify 3*(-3 + 4*sqrt(19) + 4 + -3*(sqrt(931) - ((sqrt(931) - (1 + sqrt(931)) - sqrt(931) - sqrt(931))**2 - sqrt(931)))) + -3. 138*sqrt(19) + 33525 Simplify (-5*-1*(1 + sqrt(1377)))**2 - (-3 + (-2*sqrt(17)*1 - 1*(sqrt(17) + 2))). 453*sqrt(17) + 34455 Simplify (3 + -4*-2*sqrt(17)*2 - (-1*sqrt(187)*5)/(sqrt(110)/sqrt(250)))**2 + -3. 246*sqrt(17) + 28583 Simplify (-3 + 5*-2*sqrt(1200))**2 + (sqrt(30) - (sqrt(30) - sqrt(120))*-1)/(sqrt(810)*3). 1200*sqrt(3) + 120009 Simplify (((sqrt(154)*-1)/sqrt(7) + sqrt(22) - sqrt(176)/sqrt(200))/(-5*sqrt(176) - sqrt(891)*2)*-1)**2. 1/18050 Simplify ((-1 + (-2*(-2 + sqrt(468)) + sqrt(468) - sqrt(468)) - (-3 + sqrt(468) + (sqrt(468) - (2 + sqrt(468) + 0)))) + -3)**2. -180*sqrt(13) + 4237 Simplify (sqrt(275)/(sqrt(20)/sqrt(4)) - (sqrt(220)*6 + sqrt(220) - sqrt(220)))/(sqrt(11) + sqrt(99)*1 + 1*sqrt(275)). -11*sqrt(5)/9 Simplify (((-4 + 2*sqrt(1008) - (3 + (sqrt(1008) + 1 - sqrt(1008))) - 6*(sqrt(1008)*-1 - sqrt(1008))*6) + 0)*-6*-2)**2*-4. -3179446272 + 8183808*sqrt(7) Simplify (sqrt(432) - (sqrt(432)*3 + -5)**2)*-6*-1 + ((4*3*sqrt(432) - sqrt(432)) + -5)**2*3. -1728*sqrt(3) + 133413 Simplify -4*4*-1*(-5*1*(sqrt(475) + -2)**2 - (-1 + 1 + sqrt(475))**2*-2). -23120 + 1600*sqrt(19) Simplify (1*(-2*1*sqrt(119) - 5*(sqrt(119)*2 + sqrt(119) - sqrt(119))))/((-2*(sqrt(112) - (sqrt(112) - sqrt(112)*-2)) + sqrt(112))*2). -3*sqrt(17)/10 Simplify (2*((4*sqrt(77)*-3*1)/(sqrt(99)/((sqrt(90) - sqrt(90)*-3)/sqrt(10))) + 3))**2. -1152*sqrt(7) + 64548 Simplify (((sqrt(704) + -2 + sqrt(704))*3 - (sqrt(704) + 2)*2)*6*-2)**2*1*-1. -1636416 + 92160*sqrt(11) Simplify (((sqrt(72)/sqrt(8))/sqrt(3))**2 - ((sqrt(6)/sqrt(2))**2 + -2)) + 3 + -1*sqrt(3)*5*-3. 5 + 15*sqrt(3) Simplify sqrt(152)/(sqrt(800) - sqrt(8)) + -3 + (sqrt(19) - (2*sqrt(19))**2) - (-3 + -4 + (sqrt(19) + -2*sqrt(1216))**2). -4347 + 10*sqrt(19)/9 Simplify (-1*(0 + sqrt(80) + -3 - sqrt(80)) - (1 + 3*((sqrt(320) + (1 + sqrt(320))*6 - sqrt(320)) + sqrt(320))))**2. 5376*sqrt(5) + 141376 Simplify sqrt(176) + ((0 + sqrt(176))*2 - sqrt(176)) + sqrt(176)*-2 + -4 + (sqrt(176)*-1*6 + sqrt(176) - (-1 + sqrt(176) + sqrt(176))*-5)**2 + 0. -200*sqrt(11) + 4421 Simplify (sqrt(30) - 2*sqrt(750) - 2*sqrt(30)*-6)/((sqrt(810)*-1 - sqrt(10))*4) + -1. -1 - 3*sqrt(3)/40 Simplify (sqrt(126)*-6*-5*4)/((sqrt(128) + sqrt(128) + (sqrt(128) - sqrt(128)*1)*-2 + sqrt(128))*3). 5*sqrt(7) Simplify 1*(-4 + 1 + sqrt(612))*2 + ((sqrt(68)/sqrt(2)*1 - sqrt(34))/(sqrt(8)/sqrt(4)*1))**2*-2. -6 + 12*sqrt(17) Simplify (-4 + -3 + 3 + 2 + sqrt(1872) + -1 + sqrt(1872) + 4 + 3)**2. 192*sqrt(13) + 7504 Simplify 1*(-1 + ((sqrt(51) - (sqrt(1836) + -2*sqrt(1836)))*6)/(sqrt(3) + 1*sqrt(9)/sqrt(3) + sqrt(300)*1)). -1 + 7*sqrt(17)/2 Simplify -3*(sqrt(17) + sqrt(68) + 5 + (2*sqrt(85))/sqrt(5)) + ((sqrt(119)*1*1)/(sqrt(14)/sqrt(2)*6))**2. -15*sqrt(17) - 523/36 Simplify ((-3 + sqrt(3645) + 3*(sqrt(3645) - -2*sqrt(3645)) + 2)*-3 + 1)**2. -6480*sqrt(5) + 3280516 Simplify (-6*3*sqrt(95)*2*2)/(sqrt(5445)*2*6 - sqrt(5445)). -24*sqrt(19)/121 Simplify (4 + 2 + ((sqrt(500) - (-1 + sqrt(500)))*-5 - (4 + 1*sqrt(500))) + 0)**2. 60*sqrt(5) + 509 Simplify (-1 + (-5 + -1*((sqrt(117) - (0 + sqrt(117))) + 5 - (2 + sqrt(117) + 1)))**2)*4. -168*sqrt(13) + 660 Simplify ((1*-4*(sqrt(60) - (sqrt(240) - sqrt(240)*-1)))/((sqrt(168)/sqrt(112))/((sqrt(24)*2)/sqrt(12))))**2. 46080 Simplify -3*((-5*(sqrt(84) + -6*sqrt(84)))/(sqrt(24)/sqrt(128)))**
{ "pile_set_name": "DM Mathematics" }
4*r - v*r**4 + 9/4*r**5 + 65/6*r**3. Factor p(i). 5*(i - 1)**2*(9*i - 2) Let j = 16126 - 16126. Let p(h) be the third derivative of 1/90*h**5 + 0*h + 6*h**2 + j*h**4 - 1/9*h**3 + 0. Factor p(i). 2*(i - 1)*(i + 1)/3 Let l(r) be the first derivative of -r**4/8 + 40*r**3/3 - 477*r**2 + 7128*r - 4353. Factor l(c). -(c - 44)*(c - 18)**2/2 Suppose 12*y = 5*y + 2450. Factor 336*p - 91 - y*p - 203 - 2*p**3 + 22*p**2. -2*(p - 7)**2*(p + 3) Let a(v) be the second derivative of v**6/1800 - v**5/120 - 131*v**3/6 + 109*v. Let u(g) be the second derivative of a(g). Determine p so that u(p) = 0. 0, 5 Let i(o) be the second derivative of o**5/20 - 8*o**3 - 61*o**2/2 - 18*o. Let j(d) = -d**3 + 1. Let u(x) = -i(x) + 3*j(x). Find r such that u(r) = 0. -2, 4 Let w be ((-22)/(-33))/(57/18 + -3). Let g(i) be the second derivative of 1/70*i**5 + 2/7*i**2 - 6*i + 0*i**w + 0 - 1/7*i**3. Factor g(l). 2*(l - 1)**2*(l + 2)/7 Let w(c) = 2*c**4 + 38*c**3 + 44*c**2 - 78*c - 18. Let s(d) = d**4 + d**3 - d - 3. Let p(z) = 6*s(z) - w(z). Factor p(j). 4*j*(j - 9)*(j - 1)*(j + 2) Let o(b) be the first derivative of -b**6/3 - 62*b**5/5 - 85*b**4/2 - 50*b**3/3 + 86*b**2 + 112*b - 5196. Solve o(r) = 0 for r. -28, -2, -1, 1 Let n(w) be the third derivative of w**8/1428 + 11*w**7/1785 - w**6/204 - 19*w**5/102 - 39*w**4/68 - 12*w**3/17 - 198*w**2. Let n(j) = 0. Calculate j. -4, -3, -1, -1/2, 3 Let z(g) be the second derivative of g**4/42 + g**3/3 - 8*g**2/7 - 6783*g. Factor z(s). 2*(s - 1)*(s + 8)/7 Let f be 6 - (1 + 292/(-6)). Let z = f + -802/15. Factor 0*g**2 + 0*g + z*g**4 + 0 + 0*g**3. g**4/5 Let r be -4*(-10)/(-4)*2/4. Let p(k) = -4*k**3 + 100*k**2 + 108*k + 12. Let x(j) = 2*j**3 - 40*j**2 - 43*j - 5. Let b(d) = r*p(d) - 12*x(d). Factor b(i). -4*i*(i + 2)*(i + 3) What is o in -24*o**2 + 112*o**2 - 5*o**3 - 398*o**2 - 1425*o = 0? -57, -5, 0 Let g(f) = 2*f**2 - 36*f - 9. Let s be g(18). Let w be 6/s + -3 + (-114)/(-9). Factor 4*z**3 + z**3 - 20*z**2 - 3 - 7 + 16*z + w*z. 5*(z - 2)*(z - 1)**2 Let v(k) be the second derivative of 39/20*k**5 - 1/10*k**6 - 13/2*k**3 - 11/4*k**4 + 21*k + 0 + 18*k**2. Factor v(i). -3*(i - 12)*(i - 1)**2*(i + 1) Let r(g) = -3*g**2 + g + 2. Let q(n) = 18*n**2 - 9431*n + 7404113. Let y(h) = q(h) + 5*r(h). Factor y(l). 3*(l - 1571)**2 Let j(z) = 75*z**3 - 1629*z**2 + 9776*z - 4486. Let l(k) = k**3 + 5*k**2 - 2*k + 1. Let x(p) = j(p) - 3*l(p). Let x(g) = 0. What is g? 1/2, 67/6 Let g = -2399493/3206 + -519/458. Let u = -749 - g. Factor -u*l + 4/7*l**2 + 0. 4*l*(l - 1)/7 Let d be 2/(-6) - 7/14*(-42)/9. Let v(b) be the second derivative of 5/12*b**3 - 24*b + 0 + 1/24*b**4 + 3/2*b**d. Factor v(s). (s + 2)*(s + 3)/2 Suppose -23*n = -11*n - 24. Let u(f) be the third derivative of 0*f + 1/120*f**5 + 0 - 2*f**n + 0*f**3 + 0*f**4. Let u(m) = 0. What is m? 0 Let x = 2098/3 + -6293/9. Let h(q) be the first derivative of -8/27*q**3 - 24 + 2/15*q**5 + 2/9*q - 2/9*q**2 + x*q**4. Find m such that h(m) = 0. -1, 1/3, 1 Let m(s) be the first derivative of s**5/5 + s**4 - 16*s**3 + 56*s**2 + 123*s - 101. Let v(w) be the first derivative of m(w). Factor v(o). 4*(o - 2)**2*(o + 7) Let f(y) = y**2 - y - 6. Let k(i) = i**3 + 154*i**2 - 976*i + 1515. Let u(o) = 5*f(o) + k(o). Solve u(c) = 0. -165, 3 Let s(q) be the first derivative of -1/10*q**5 + 23 - 5/2*q**2 + 1/2*q**4 + 1/2*q**3 - 4*q. Factor s(p). -(p - 4)*(p - 2)*(p + 1)**2/2 Let h(i) be the first derivative of 2*i**5/35 + 3*i**4/14 - 248*i**3/21 - 612*i**2/7 - 1440*i/7 + 12376. Solve h(m) = 0 for m. -10, -3, -2, 12 Let r(g) = -7*g**2 - 1189*g + 3598. Let j(z) = -36*z**2 - 5947*z + 17989. Let p(n) = -2*j(n) + 11*r(n). Let p(t) = 0. Calculate t. -240, 3 Let l(f) = 9*f**2 + 61*f - 70. Let i(g) = 8*g**2 + 62*g - 70. Let d = -234 + 231. Let q(k) = d*l(k) + 4*i(k). Suppose q(o) = 0. What is o? -14, 1 Let j(c) = c**4 - c**2 + c - 1. Let o be (5 - 16/4)*-1. Let w(r) = 24*r**4 - 32*r**2 + 28*r - 20. Let k(h) = o*w(h) + 20*j(h). Solve k(u) = 0 for u. -2, 0, 1 Let k(b) be the second derivative of -b**7/70 - 9*b**6/25 - 3*b**5 - 63*b**4/10 + 49*b**3/2 + 2565*b. Suppose k(f) = 0. What is f? -7, -5, 0, 1 Let f be 6 + (-12)/2 + (11 - 2). Let s(x) = x**2 - 3*x - 6. Let w(y) = -3*y**2 + 12*y + 27. Let d(a) = f*s(a) + 2*w(a). Solve d(h) = 0 for h. 0, 1 Let g(d) = 2*d**4 + d**3 - d**2 + 2. Let y(p) = 49*p**3 + 70*p**2 - 89*p - 22. Let n(z) = 2*g(z) - y(z). Suppose n(t) = 0. Calculate t. -2, -1/4, 1, 13 Find n, given that -276*n - 1224 + 208507*n**3 + 80*n**4 - 207106*n**3 + 148*n**4 + 9*n**5 + 2130*n**2 = 0. -17, -6, -2, -1, 2/3 Suppose -3*q + 62 = 56. Factor 61*d + 20 - 62*d - 2*d**3 - 3*d**3 + 25*d**q - 39*d. -5*(d - 2)**2*(d - 1) Let i(u) = 9*u**4 - 33*u**3 + 9*u + 5. Let k(a) = 11*a**4 - 38*a**3 + a**2 + 8*a + 6. Let v(n) = -6*i(n) + 5*k(n). Factor v(x). x*(x - 1)*(x + 2)*(x + 7) Determine p, given that -2/7*p**2 + 2210/7 + 432/7*p = 0. -5, 221 Suppose -5*d = -2796*l + 2797*l + 31, 0 = l - 5*d - 39. Factor -18/19*q**5 - 204/19*q**l - 128/19 - 38*q**3 + 672/19*q - 600/19*q**2. -2*(q + 4)**3*(3*q - 1)**2/19 Determine c so that -44/7*c - 2/7*c**2 + 480/7 = 0. -30, 8 Let z(q) be the third derivative of 0*q + 19/120*q**4 + 1/60*q**5 - 2 - 2/15*q**3 - 108*q**2. Solve z(j) = 0 for j. -4, 1/5 Let i(n) be the third derivative of 0 + 0*n - 1/1800*n**6 + 1/60*n**4 - 4*n**2 + 1/600*n**5 - 11/3*n**3. Let w(l) be the first derivative of i(l). Factor w(x). -(x - 2)*(x + 1)/5 Let a be ((64/24)/8)/(2/12). Solve -6*z**a + 146*z - 8*z**2 + 24*z - 9*z**2 + 18*z**2 = 0. 0, 34 Suppose 16 = -4*o - 116. Let c = 36 + o. Factor 32 - 36 + 95*u - 16 - 20*u**c - 55*u**2. -5*(u - 1)*(u + 4)*(4*u - 1) Let f(h) be the third derivative of -h**7/42 - 11*h**6/6 - 263*h**5/6 - 385*h**4/2 - 735*h**3/2 - 232*h**2 - h. Let f(z) = 0. Calculate z. -21, -1 Let r = 4543 + -4541. Let u(o) be the third derivative of 0 - 1/10*o**6 - 21/20*o**5 - 9/4*o**4 + 0*o + 26*o**r + 27/2*o**3. Find p, given that u(p) = 0. -3, 3/4 Let s(z) be the second derivative of -z**7/21 + 7*z**6/15 + 21*z**5/10 - 19*z**4/6 - 68*z**3/3 - 36*z**2 - 83*z. Solve s(j) = 0 for j. -2, -1, 2, 9 Let f be ((-64)/(-18))/2 - (-12 + 7526/639). Solve 0*q - 6/5*q**4 - 2/5*q**5 + 0 + 0*q**f + 4*q**3 = 0 for q. -5, 0, 2 Let s(g) be the first derivative of g**4/14 + 1184*g**3/21 + 1181*g**2/7 + 1180*g/7 + 602. Factor s(y). 2*(y + 1)**2*(y + 590)/7 Let p(q) be the third derivative of -q**6/80 - 9*q**5/40 - 23*q**4/16 - 15*q**3/4 - 338*q**2. Factor p(h). -3*(h + 1)*(h + 3)*(h + 5)/2 Suppose -4*m = -20, 0*x + 4*m + 10 = 5*x. Let u be 5*8/(-160)*(-4)/x. What is f in u*f**2 - 1/3*f + 0 = 0? 0, 2 Let a(s) be the first derivative of 8/3*s**3 - 2*s**2 - 322 - 2/5*s**5 + 13/4*s**4 - 1/2*s**6 + 0*s. Let a(y) = 0. What is y? -2, -1, 0, 1/3, 2 Let z = -99 - -98. Let s(v) = -2*v + 4. Let r be s(z). What is n in 2*n**4 - 4*n**2 - 3*n**3 + r + 7*n - 4*n + n**4 - 5*n**2 = 0? -1, 1, 2 Let a(b) = -2*b**3 + 2*b - 14. Let i(q) = -q**4 - 70*q**3 - 413*q**2 + 4*q - 28. Let z(o) = 6*a(o) - 3*i(o). Factor z(d). 3*d**2*(d + 7)*(d + 59) Suppose -25*o + 266 = -559. Factor 3*h**5 - h**3 - 29*h**3 - 23*h + o*h + 32*h - 3*h**4 + 12*h**2 + 30*h. 3*h*(h - 3)*(h - 2)*(h + 2)**2 Let u(y) be the second derivative of y**4/3 + 568*y**3/3 - 1144*y**2 + 8320*y. Let u(c) = 0. Calculate c. -286, 2 Let z = -110174/15 + 7345. Let h(u) be the second derivative of 0 + 0*u**2 + 1/6*u**4 - 1/42*u**7 - z*u**6 + 1/20*u**5 - 32*u + 0*u**3. Factor h(j). -j**2*(j - 1)*(j + 1)*(j + 2) Let c be (-28 + (-88)/11)*6/(-2). What is w in 299 + 673*w - 33*w - 972*w**5 - c*w**4 - 2112*w**2 + 2448*w**3 - 363 = 0? -2, 2/9, 1/3, 2/3 Let m(b) be the first derivative of b**4/5 + 8*b**3/5 - 14*b**2/5 - 9071. Let m(w) = 0. Calculate w. -7, 0, 1 Suppose -6 + 8 = p. Let j(g) = g**2 - 23*g + 34. Let i be j(22). Factor i - 4*n**2 - 12*n**3 - n**2 + 48*n + p*n**2. -3*(n - 2)*(n + 2)*(4*n + 1) Let b(q) be the second derivative of 11*q + 0 + 1/140*q**5 + 0*q**3 - 6*q**2 + 1/56*q**4. Let f(p) be the first derivative of b(p). Factor f(w). 3*w*(w + 1)/7 Let z(v) be the third derivative of v**6/140 - 9*v**5/70 + 6*v**4/7 - 20*v**3/7 + 47*v**2 - 8*v. Factor z(u). 6*(u - 5)*(u - 2)**2/7 Let a(j) be the second derivative of j**7/1680 + j**6/80 + j**5/10 + j**4/12 + 11*j**3/3 - 71*j. Let l(v) be the t
{ "pile_set_name": "DM Mathematics" }
w**4 + 760789 - w**4 as s*w**2 + q*w**3 + u*w**4 + b + j*w and give j. 0 Rearrange 83*d**3 + 4937*d**2 - 7*d**3 - 80*d**3 + 1103*d**2 to the form r + n*d**2 + x*d + u*d**3 and give u. -4 Express ((1 + 26 + 1)*(-a + 5*a - 3*a) + 2*a + a - a)*(3548 - 986*a - 3548) in the form x*a**2 + r*a + v and give x. -29580 Rearrange 8*z**2 - 19*z**2 + 24*z**2 + (2 + 1 - 2)*(-15*z**2 - z**2 + 3*z**2) + 1 - 1 + z**2 to the form t + j*z + w*z**2 and give w. 1 Rearrange 1414*a + 924*a + 1412*a to the form i + b*a and give b. 3750 Express -382*c**4 + 4*c**2 - 5 + 798*c**3 - 4*c**2 + 10 - 797*c**3 as w*c**3 + z*c**2 + a + f*c + i*c**4 and give i. -382 Express 147*m**2 - 2*m**2 - 131 - 148*m**2 - 2 in the form o*m**2 + r*m + u and give o. -3 Rearrange -86*u**2 + 556 + 87*u**2 - 584 to the form i*u**2 + n*u + d and give d. -28 Express (23*i - 2706 + 1342 + 1364 - 44806*i)*(-1 + 0 + 3) in the form b*i + y and give b. -89566 Express 9517*v + 105 + 188 + 20076*v - 293 in the form y*v + h and give y. 29593 Express 5 + 3*i**2 - 5 + (-1273*i**2 - 66309*i + 66309*i)*(-1 + 2 + 0) as u + y*i**2 + c*i and give y. -1270 Express (-4 - 2 + 5)*(-2*q + 2*q + 2*q**3) + 2*q**2 - 491*q + 582*q**3 + 1620 + 497*q - 1621 as u*q**3 + c + m*q + k*q**2 and give u. 580 Express 0*i**2 + 2*i**2 - 32640055*i**3 + 32640942*i**3 - 3*i + 1 + 0 in the form g + r*i**2 + o*i**3 + d*i and give o. 887 Rearrange 0*v**3 + 2*v**3 + 2*v**3 + (6*v + 40*v + 11*v)*(33 - 33 - 12*v**2) + (-v + 3 - 3)*(v - v - v**2) to the form u*v + x + p*v**2 + w*v**3 and give w. -679 Rearrange (-3 - 3*f + 3)*(-17 + 5 - 2)*(19*f + 16*f + 8*f + 1) to w + y*f + g*f**2 and give g. 1806 Express -h**3 - 44*h**2 + 106*h + 0*h**3 - 30*h + 1 - 2*h**4 - 74*h in the form c*h**2 + q + k*h**3 + j*h**4 + p*h and give q. 1 Express -v**3 + 2*v**3 - v**3 - 3 + 196639*v - 197010*v - v**3 in the form c*v + a*v**3 + i*v**2 + b and give b. -3 Rearrange (-4 + 9 + 2)*(444*h + 444*h - 1012*h) to w*h + q and give w. -868 Rearrange a - a - 4053*a**3 + 75876 - 75879 to the form w*a + m + y*a**3 + u*a**2 and give u. 0 Rearrange -8*a + 145*a**4 + 135*a**4 + 1 - 3*a**2 - 278*a**4 + 12*a**3 to the form s*a + h*a**3 + o + m*a**2 + i*a**4 and give i. 2 Express (1 - 1 - m**2)*(-2*m - m + 5*m) - m**3 + 4 - 4 + (-m**3 + m - m)*(-20 + 36 - 35 - 52) in the form v*m**2 + a*m**3 + w*m + t and give a. 68 Rearrange (-t**2 + 0 + 0)*((5*t - t - 2*t)*(4 + 2 - 5) - 2*t - t + 4*t + t - t - 2*t - 1214*t - 1692*t + 1049*t) to s*t**3 + m + p*t**2 + f*t and give s. 1856 Rearrange -48 - 3*s**2 + s**2 + 30 - 259*s + 19 to v*s**2 + p*s + h and give v. -2 Rearrange -20*v - 11*v + 17*v + (2 - 2 + v)*(4 - 3 + 1) + (0 + 4 + 1)*(7 + 3*v - 7) to the form z*v + l and give z. 3 Express 3*o**3 + 6539*o**2 + o + 9 - 3069*o**2 - 3237*o**2 as z*o**3 + q + d*o + a*o**2 and give a. 233 Express (i + 2*i - i)*(-4 + 1 + 1)*(2372 - 250 - 877) as v*i + c and give v. -4980 Rearrange -413 + 2646*x**2 - 1361*x**2 + 5*x - 1287*x**2 to the form i*x + u + g*x**2 and give g. -2 Express (r + 0*r - 5*r + (-5*r - 12*r + 5*r)*(6 - 7 - 2))*(-2 + 4 + 2*r**2 + 4*r**3 - 5*r**3) as h*r + s*r**3 + y*r**2 + l*r**4 + t and give h. 64 Express 2*o**2 - 253*o**4 - 2*o + 80*o**4 - 18*o**3 + 75*o**4 + 96*o**4 + 49*o**3 as i*o**4 + f*o**2 + p*o + x + g*o**3 and give p. -2 Express (4 - 2*y - 4 + y + 0*y - 4*y + (2 - 2*y - 2)*(-2 - 3 + 4))*(3 + 1 + 2)*(-7 + 4 - 1) as v*y + d and give v. 72 Rearrange (-1 + 1 + 3)*(1 - 1642*t + 755*t + 2*t**2 + 708*t) to s*t**2 + y + f*t and give f. -537 Express (0*l + 0*l - l)*(-2 + 6 - 2)*(9*l + 19*l - 18*l + 2*l - 6*l + l + (-1 + 1 + 2)*(-4 + 4 + l)) in the form q*l + t*l**2 + k and give t. -18 Rearrange 2705 + v**4 - 2697 - 10*v**3 - 6*v**3 to p + f*v**2 + q*v**3 + h*v + m*v**4 and give p. 8 Express (6*w**3 - w**3 - 4*w**3)*(223 - 222 - 904*w - 1297*w) in the form g*w**2 + o*w**3 + t + l*w**4 + h*w and give o. 1 Express -6 - 4*o**2 + 5 + 602*o**4 - 1 - o + 3*o**3 - 567*o**4 in the form a*o**4 + r + g*o**3 + h*o**2 + u*o and give h. -4 Express (-b - 2*b + 4*b)*(4 - 5 + 0) - 2*b + b + 0*b + 13 - 13 + 3*b + b + 440*b + b in the form m + r*b and give r. 443 Express (-4*y**2 + 50397*y + 64*y**3 - 50397*y)*(-1 - 4*y + 22*y + 33*y) in the form u*y**4 + h + t*y**2 + g*y**3 + r*y and give t. 4 Express 675*n**3 + 12 - 14*n**2 + 13*n**2 + n - 778*n**3 as q*n**3 + t*n + x + c*n**2 and give t. 1 Express (2*n - 2*n + 2*n)*(n + 0*n - 2*n) - 14016 + 14016 + 168*n**2 + (0 + 4 - 2)*(0*n**2 - 2*n**2 + 0*n**2) in the form s*n**2 + v*n + p and give s. 162 Rearrange 8051*s - 19345*s + 35 - 35 - 16414*s to o*s + l and give o. -27708 Rearrange 4766*o**3 - 9521*o**3 - o**2 + 31*o + 0*o**2 + 3 + 4761*o**3 to the form t*o + v*o**2 + q + b*o**3 and give q. 3 Express -2*t + t - 3*t + (-3 - 2 + 4)*(2*t + 4*t - 4*t) + (-627 + 1074 + 571 + 690)*(-3 + 3 + 2)*(-4*t + 5*t - 3*t) in the form a + g*t and give g. -6838 Rearrange (-35 + 15 + 14 - 140 - 35)*(5*d - 8*d - 6*d) to the form c + u*d and give u. 1629 Express 11155 - 11153 - 156*t**2 + 3102*t**2 as n*t**2 + a + r*t and give n. 2946 Rearrange -366*h + 366*h - 67*h**4 + (-117*h**3 + 170*h**3 - 81*h**3)*(-1 + 1 + 2*h) to the form z*h**4 + b*h**2 + x*h**3 + w + u*h and give z. -123 Rearrange (-7*u - 3*u - 50*u)*(711*u - 100*u**3 - 711*u) to the form o*u + t*u**4 + h + s*u**3 + g*u**2 and give t. 6000 Rearrange 3*b + 40 + 5*b + 39 + 17 to the form w*b + u and give u. 96 Rearrange 1113*t**3 - 15 - 2131*t**3 + 1059*t**3 to the form o*t + a*t**3 + z*t**2 + w and give w. -15 Express -650 + 13753419*h**4 - h**3 + 2*h**3 - 13753420*h**4 + 2*h**2 in the form j*h**2 + x*h + w + c*h**3 + o*h**4 and give w. -650 Express 3*h**4 - 2*h**2 + 30221*h**3 - 2*h**4 - 30380*h**3 + 2*h in the form z*h**4 + t*h + n*h**2 + y*h**3 + l and give n. -2 Express -64*m - 64*m - 58*m**2 + 15 + 195*m - 67*m as f*m + w + x*m**2 and give w. 15 Express (-2*f**3 + 0*f**3 + 0*f**3)*(163*f + 474*f + 90*f) + (-2 + 2 - 1)*(-2*f**4 + 0*f**4 + 0*f**4) in the form t + v*f + n*f**3 + s*f**4 + k*f**2 and give s. -1452 Express (140*w + 66*w + 188*w - 3*w + w + 0*w + (-3*w - w + 3*w)*(1 + 0 + 0) - 2*w + 5*w - w + (3*w - w - 3*w)*(-3 + 5 - 1))*(15 - 1 + 2) as t*w + r and give t. 6272 Rearrange (-672 + 1076 - 667)*(-3*b + 6*b + 4*b)*(-1 - 3 + 6) to the form d*b + x and give d. -3682 Express 20*t**4 + 504*t - 18*t**2 - 90*t**4 + 516*t - 1018*t as l*t + k*t**3 + p*t**2 + b + i*t**4 and give i. -70 Express -185*y - 28*y**2 + 28*y**2 + 199*y - 2 + 8*y**3 in the form a + n*y**2 + h*y**3 + o*y and give o. 14 Express -3*y**2 + 3250 + 21*y - 3263 + 2*y**4 - y**4 as n*y**3 + v*y**2 + k*y**4 + w + z*y and give z. 21 Rearrange 2*u**2 + 0*u**2 - u**2 + (-4*u + 4*u - 2*u)*(-3*u + 2*u + 0*u) + 162*u**2 - 24*u**2 - 5*u**2 - 2*u**2 - 3*u**2 + u**2 to x + w*u**2 + z*u and give w. 132 Express t - 176196 - 475*t**3 + 352403 - 176205 as b*t**2 + l + v*t**3 + r*t and give v. -475 Express -3*t**3 - t**2 + 3*t**2 - 1 + 8*t - 31*t + 26*t as h*t**3 + f*t**2 + v*t + j and give f. 2 Express -l**2 - 7*l - 104338*l**4 - 11 + 104336*l**4 + 3*l**2 in the form g*l + y + s*l**2 + n*l**4 + x*l**3 and give s. 2 Express -2*v**3 + 2*v**4 - 1092 - 1053 + 2242 as u*v**2 + d + f*v + o*v**3 + t*v**4 and give o. -2 Express 0*i + 8514263*i**2 - i - 1 - 8514521*i**2 in the form b*i + a + v*i**2 and give v. -258 Rearrange -12374*z + 0 + 3*z**2 - 12363*z + 2 + 24737*z + 1261*z**3 to the form g*z**3 + m*z**2 + t + c*z and give t. 2 Express 10230*j**2 + 302 - 106 - 100 - 96 as q*j**2 + h*j + s and give q. 10230 Express 11*r**3 - r**2 + 5*r**3 + r + 4*r - 3 + r**2 + 2*r**2 as s*r**3 + w*r**2 + z + g*r and give z. -3 Express 8 + 27353*x + 16 - 5878*x - 24 as l*x + z and give l. 21475 Rearrange (-55*v - 1129 + 1129)*(148 - 148 - 25*v)*(2 + 3 - 3) to n*v + x*v**2 + a and give x. 2750 Express (33 + 51 - 96)*(76*n + 209*n + n) in the form r*n + v and give r. -3432 Express 1837 + 1829 - x**2 - 13*x - 3662 as s + h*x**2 + d*x and give d. -13 Rearrange -1943*g - 964*g - 2831*g to b + h*g and give h. -5738 Rearrange (-290*j + 201 + 598*j - 310*j)*(j + 4*j - j) + 8*j - 3*j - 6*j + 2*j**2 + 1 to the form u*j**2 + s*j + d and give s. 803 Rearrange -34*g**3 - 46*g**3 - 64*g**3 + 49*g**3 + (-15*g - 22*g**2 + 15*g)*(-6*g + 5 + 0 + 4*g) to the form j*g + p*g**3 + c + z*g**2 an
{ "pile_set_name": "DM Mathematics" }
ivided by 117. 3 -10362 divided by 471 -22 Calculate 44 divided by -27. -44/27 Divide 175 by -3. -175/3 What is -4 divided by -66? 2/33 5762 divided by 2881 2 -81 divided by -1 81 Divide -336 by 168. -2 -7400 divided by 5 -1480 Divide -3717 by -3717. 1 What is -116 divided by -4? 29 540 divided by -30 -18 What is -2321 divided by 5? -2321/5 What is 391 divided by 1? 391 What is 19388 divided by 2? 9694 What is 1 divided by -1631? -1/1631 What is 42 divided by -4? -21/2 Calculate -2 divided by -50. 1/25 Calculate 8952 divided by -6. -1492 1146 divided by -1 -1146 What is -206 divided by -5? 206/5 Calculate 1200 divided by 6. 200 40 divided by 20 2 Calculate -599 divided by 6. -599/6 What is 4 divided by 152? 1/38 Divide -86 by -37. 86/37 416 divided by 6 208/3 What is 2863 divided by -2? -2863/2 Calculate -2 divided by 258. -1/129 What is 542 divided by 11? 542/11 What is 683 divided by -5? -683/5 3 divided by 353 3/353 Calculate -198 divided by -2. 99 8 divided by -53 -8/53 What is -2 divided by -5? 2/5 Calculate 11 divided by 24. 11/24 What is -26 divided by -13? 2 -2365 divided by 5 -473 Calculate 200 divided by -50. -4 Calculate 44 divided by 4. 11 What is -6 divided by -213? 2/71 -380 divided by 10 -38 Calculate -5012 divided by -28. 179 Divide 75 by -6. -25/2 Calculate 55 divided by -29. -55/29 0 divided by 6 0 13 divided by -32 -13/32 What is -16752 divided by -6? 2792 Divide 503 by -9. -503/9 Divide -15768 by -2. 7884 Calculate 761 divided by -3. -761/3 Calculate -19 divided by 103. -19/103 Calculate 38 divided by 18. 19/9 Calculate -4 divided by 58. -2/29 Calculate 45 divided by -83. -45/83 1 divided by 854 1/854 Divide 2 by -195. -2/195 86 divided by -2 -43 116 divided by -4 -29 -4625 divided by 4 -4625/4 Calculate 407 divided by 4. 407/4 1 divided by 68 1/68 Calculate -3162 divided by 3. -1054 Divide -402 by 201. -2 What is 1513 divided by 2? 1513/2 350 divided by -70 -5 Divide -77 by 1. -77 Divide -19 by -667. 19/667 Divide -15380 by -2. 7690 What is 8772 divided by -3? -2924 What is 13 divided by 93? 13/93 Calculate 1563 divided by 5. 1563/5 -6576 divided by -6 1096 7925 divided by 5 1585 Calculate 2652 divided by 2. 1326 Divide 988 by -13. -76 Divide -703 by -4. 703/4 -372 divided by 12 -31 What is -158 divided by 15? -158/15 541 divided by 6 541/6 Divide 1893 by 1. 1893 1560 divided by 5 312 What is -84 divided by 1? -84 Divide 10 by 9. 10/9 Divide 2047 by -1. -2047 -4116 divided by -49 84 -4 divided by 4933 -4/4933 -3504 divided by 4 -876 -4212 divided by -1053 4 Divide 574 by 82. 7 Divide 3165 by 5. 633 -12428 divided by 4 -3107 2 divided by 44 1/22 Divide -5 by 877. -5/877 Calculate -170 divided by 54. -85/27 4788 divided by 19 252 Divide -68 by -17. 4 What is 4 divided by -101? -4/101 -1 divided by -354 1/354 What is 54 divided by -1? -54 5 divided by -1880 -1/376 Calculate -4 divided by -43. 4/43 Divide -5 by 108. -5/108 Divide -504 by -72. 7 1732 divided by 4 433 What is 20253 divided by -3? -6751 Divide -6372 by -2124. 3 What is 2272 divided by 1? 2272 What is 54 divided by -6? -9 What is 146 divided by -3? -146/3 What is -1750 divided by 70? -25 Calculate -132 divided by -44. 3 Divide -217 by -7. 31 What is 10 divided by -34? -5/17 Divide -296 by -4. 74 Calculate 9140 divided by -5. -1828 Divide 3550 by -710. -5 11 divided by -969 -11/969 What is 26 divided by 448? 13/224 Divide 0 by -119. 0 1 divided by 46 1/46 Divide 4080 by 20. 204 Calculate -19242 divided by 6. -3207 0 divided by -122 0 What is 7 divided by -863? -7/863 Calculate 4 divided by 56. 1/14 2 divided by 429 2/429 What is 3 divided by 14? 3/14 Calculate 0 divided by -89. 0 Divide 238 by -7. -34 Divide -103 by 5. -103/5 What is 12 divided by 1? 12 Divide -8127 by 9. -903 Divide 45 by 45. 1 Divide -2 by -51. 2/51 Divide -5 by -70. 1/14 -2706 divided by 123 -22 Divide 4 by -682. -2/341 Divide -1 by -191. 1/191 What is -18502 divided by -1? 18502 252 divided by 36 7 30 divided by 5 6 -432 divided by -216 2 -5 divided by -121 5/121 3042 divided by 6 507 Divide 2119 by 2119. 1 Divide -1 by -5. 1/5 What is 4860 divided by -4? -1215 -870 divided by -145 6 Calculate -120 divided by 20. -6 Calculate 372 divided by 93. 4 -646 divided by 34 -19 37 divided by 1 37 1 divided by 283 1/283 What is 30 divided by 2? 15 Divide -87 by 5. -87/5 Divide -1 by 613. -1/613 -16 divided by -32 1/2 Divide 3429 by 381. 9 -14 divided by -13 14/13 Calculate 30865 divided by 6173. 5 4384 divided by 2 2192 5 divided by 258 5/258 Divide 6780 by -452. -15 What is -1200 divided by -80? 15 What is -6200 divided by 1240? -5 Calculate 9800 divided by 5. 1960 -1178 divided by -31 38 Divide -2844 by -474. 6 Calculate -1770 divided by -177. 10 Calculate 186 divided by 71. 186/71 3 divided by -680 -3/680 -5 divided by -108 5/108 What is 672 divided by -28? -24 Calculate 308 divided by -14. -22 Calculate 2116 divided by 92. 23 Divide -1 by -1757. 1/1757 What is 5 divided by 231? 5/231 What is -167 divided by 1? -167 152 divided by -38 -4 Divide -20 by -2. 10 -585 divided by -45 13 What is -7 divided by 7? -1 Calculate -107 divided by -59. 107/59 Divide 348 by 87. 4 What is 1760 divided by -80? -22 Divide 9448 by -2362. -4 Divide 5028 by 1257. 4 Divide -1118 by -5. 1118/5 Divide 5 by -20. -1/4 Divide -1050 by 14. -75 Calculate 1827 divided by 261. 7 -3 divided by -42 1/14 Divide 3264 by 544. 6 Divide 18 by -4. -9/2 What is 366 divided by 61? 6 Divide -96 by -8. 12 Calculate 8288 divided by 3. 8288/3 What is 3142 divided by -1? -3142 Calculate 128 divided by 4. 32 -384 divided by 6 -64 Divide 117 by -9. -13 25530 divided by -3 -8510 Calculate 3 divided by 1322. 3/1322 Divide -23 by 61. -23/61 Divide -2 by 368. -1/184 43 divided by -5 -43/5 What is -5 divided by -20? 1/4 129 divided by -8 -129/8 -7290 divided by -2 3645 Divide -2 by 81. -2/81 What is -81 divided by -27? 3 71 divided by 108 71/108 What is 325 divided by 13? 25 What is -1 divided by -210? 1/210 Divide -6632 by 1658. -4 What is -7 divided by -135? 7/135 12 divided by 41 12/41 Calculate -240 divided by 240. -1 What is -20 divided by 2? -10 Calculate -12 divided by 3. -4 Calculate 3475 divided by -3475. -1 What is -6307 divided by -3? 6307/3 -1448 divided by 2 -724 What is 324 divided by -3? -108 Calculate 220 divided by 2. 110 Divide -1332 by 444. -3 -4 divided by -199 4/199 Calculate -19 divided by -4. 19/4 What is 1574 divided by 2? 787 Divide 10 by -214. -5/107 -48 divided by 2 -24 Divide -1312 by 16. -82 What is 11754 divided by -1? -11754 Calculate -10 divided by 46. -5/23 -73 divided by 73 -1 64 divided by -1 -64 Divide 5 by 1081. 5/1081 What is 106 divided by -5? -106/5 3 divided by -292 -3/292 -1080 divided by 24 -45 Calculate -2 divided by 6. -1/3 Calculate -14371 divided by 1. -14371 817 divided by 1 817 Calculate 86 divided by -5. -86/5 What is -4 divided by -226? 2/113 Divide -594 by 6. -99 1888 divided by 472 4 Divide 0 by -97. 0 Divide 3 by -33. -1/11 13994 divided by 2 6997 What is -6754 divided by -2? 3377 156 divided by 2 78 Calculate -38 divided by 38. -1 Calculate 130 divided by 4. 65/2 Calculate 471 divided by 157. 3 Divide 6561 by -27. -243 Calculate -240 divided by 120. -2 4 divided by -267 -4/267 Divide 0 by 254. 0 Calculate -192 divided by -32. 6 Calculate -4 divided by -38. 2/19 Divide -1536 by -6. 256 -5 divided by 10 -1/2 Calculate 798 divided by 1. 798 Divide 97 by -2. -97/2 What is -3915 divided by -27? 145 What is 450 divided by 5? 90 Divide -2 by 49. -2/49 What is 119 divided by -4? -119/4 Divide -2040 by -4. 510 Calculate -4 divided by -23. 4/23 Divide 8586 by -54. -159 20 divided by -312 -5/78 What is 1758 divided by -6? -293 Calculate -2592 divided by 162. -16 Calculate 787 divided by 5. 787/5 165 divided by -7 -165/7 What is -855 divided by -3? 285 -10 divided by 63 -10/63 Divide 0 by -39. 0 Calculate 2 divided by -77. -2/77 Calculate -3088 divided by -8. 386 Calculate 4 divided by 4. 1 Calculate 22785 divided by -465. -49 What is -14660 divided by -4? 3665 Calculate -91 divided by -7. 13 What is 0 divided by -3762? 0 Divide -345 by 3. -115 2 divided by 34 1/17 -60 divided by 12 -5 Calculate 35150 divided by 6. 17575/3 Calculate -3 divided by 21. -1/7 Divide 129 by 119. 129/119 5 divided by -98 -5/98 4
{ "pile_set_name": "DM Mathematics" }
(11) Simplify (sqrt(245)*-1 + 2)**2 - ((sqrt(45) - sqrt(90)/(sqrt(14)/sqrt(7))) + sqrt(45))**2. -28*sqrt(5) + 204 Simplify ((sqrt(190) - (sqrt(190)*-1 + sqrt(190)) - sqrt(190))*-2 + sqrt(190))/(sqrt(10) - (sqrt(1440)*3 - sqrt(1440))). -sqrt(19)/23 Simplify (((sqrt(121) + sqrt(121)*-3*1 + sqrt(121))*6)/(-5*sqrt(396)*-3))**2. 11/225 Simplify (-1*(sqrt(136) + sqrt(136)*4 + sqrt(136) - sqrt(136)) - sqrt(136))/sqrt(8) + sqrt(68)/(sqrt(32)/(sqrt(8) + sqrt(32)/sqrt(4))). -4*sqrt(17) Simplify (1 + (-3 + 0 + sqrt(11) - (sqrt(11) + (sqrt(11) - -5*sqrt(176))))*-6)**2. 4788*sqrt(11) + 174997 Simplify (sqrt(72)*1 - (0 + sqrt(288))) + sqrt(8)/(sqrt(4) - (sqrt(4) - (sqrt(324) + sqrt(324) + 2*sqrt(324)))). -215*sqrt(2)/36 Simplify (1*sqrt(288) - (sqrt(288)*1 - sqrt(288)))**2 + sqrt(2) + -6*sqrt(6)/sqrt(3) + (1*sqrt(200) + sqrt(200))**2. -5*sqrt(2) + 1088 Simplify 4*sqrt(128)*2 + (sqrt(154)/sqrt(176))/sqrt(7) + 4. 4 + 257*sqrt(2)/4 Simplify (3 + sqrt(343) + (5*sqrt(343) - sqrt(343)) - (sqrt(343) + (3*(-1 + sqrt(343)))**2)) + -1. -3094 + 154*sqrt(7) Simplify -6*(sqrt(204)/(2*sqrt(768)) + 0 + sqrt(136)/(sqrt(16)/sqrt(2))). -51*sqrt(17)/8 Simplify (sqrt(288) + -3 + 4)*3 + 5. 8 + 36*sqrt(2) Simplify ((-6*(sqrt(76) - ((sqrt(76) + sqrt(76)*-1 - sqrt(76)) + sqrt(76)) - sqrt(76)) - sqrt(76)) + 1*sqrt(76)*6)/(1*-1*sqrt(100))*-4. 4*sqrt(19) Simplify (((sqrt(132) - ((sqrt(132) - sqrt(132)*2*-2) + sqrt(132)))*-5)/(sqrt(36)/(sqrt(432)*2 + sqrt(432))))**2. 8910000 Simplify (-2 + (-4*(0 + sqrt(245) + sqrt(245))*-3)**2)*-3. -423354 Simplify -6*(sqrt(432) - (sqrt(432) - (sqrt(432) - (sqrt(432) + (sqrt(432) - (sqrt(432) + sqrt(432)*2 - sqrt(432)))))))/(sqrt(108)/sqrt(3)). -12*sqrt(3) Simplify (sqrt(242)*2)**2 - (sqrt(2)*-1 + -1) - ((-5 + 0 + sqrt(2))**2 + sqrt(2) + sqrt(32) + -5). 6*sqrt(2) + 947 Simplify (4*sqrt(252) - (sqrt(63)*1*-5 - sqrt(63)))/(4*(sqrt(225) - (sqrt(225) + sqrt(225)*-3))). 7*sqrt(7)/30 Simplify (2 + (sqrt(539)*-1 - (sqrt(176) + 0) - 4*(-5*sqrt(11) + 5 - sqrt(11))))**2. -468*sqrt(11) + 2183 Simplify (6*(sqrt(80) - -3*sqrt(80)))**2*-3*2. -276480 Simplify ((sqrt(96) + 3*(sqrt(96) - ((1*sqrt(96) - sqrt(96)) + sqrt(96))))/sqrt(8))/((sqrt(6) - sqrt(24)*-6) + (sqrt(12)*-2)/sqrt(2)). sqrt(2)/11 Simplify -3 + sqrt(55)/(sqrt(704)*-2 - sqrt(704)) + (-1 + sqrt(245) - sqrt(245) - (sqrt(50)/sqrt(2) + sqrt(25))/sqrt(5))**2 + -1. 95*sqrt(5)/24 + 17 Simplify sqrt(2548) + 4 - (sqrt(52)*-2 + 4). 18*sqrt(13) Simplify (2*(1 + sqrt(432) + (sqrt(432) - (sqrt(432) + 2)) + -3))**2. -384*sqrt(3) + 1792 Simplify ((-1*sqrt(44)*3)/sqrt(4) - (-2 + sqrt(11) + -5)*-5)**2. -140*sqrt(11) + 1269 Simplify 2*(0 + ((2 + sqrt(272) + -1)*-6)**2). 576*sqrt(17) + 19656 Simplify ((2*(-1*sqrt(187) - sqrt(187)) - sqrt(187)) + -6*sqrt(187)*1)/((-2*sqrt(77) + sqrt(77))/sqrt(7) + sqrt(11) - sqrt(66)/(sqrt(6) + sqrt(12)/sqrt(2))). 22*sqrt(17) Simplify 3*(2 + 0 + sqrt(5) + sqrt(50)/sqrt(40))**2*-1. -183/4 - 18*sqrt(5) Simplify (sqrt(125)*1 + sqrt(125))**2 + sqrt(5) + sqrt(5) + (sqrt(5) + 1 + sqrt(5))*-6 + 2*(sqrt(15)/sqrt(3) - sqrt(5)) + 4 + -3. -10*sqrt(5) + 495 Simplify -5*(sqrt(1216)*-1 + (-4*sqrt(931) - sqrt(931))). 215*sqrt(19) Simplify -1 + (sqrt(275)/sqrt(5))/sqrt(11) + (sqrt(5) - 3*sqrt(245) - sqrt(5)) + 3. -20*sqrt(5) + 2 Simplify (sqrt(170)*-3*3)/sqrt(10) + (sqrt(170)/sqrt(40) - (2 + sqrt(153))). -23*sqrt(17)/2 - 2 Simplify ((sqrt(216)*3)/sqrt(6))/(sqrt(300) + (sqrt(300) - 3*sqrt(300) - sqrt(300) - sqrt(300))) + -4. -4 - sqrt(3)/5 Simplify sqrt(170)/(sqrt(10)*-1*5)*1 + ((sqrt(17) - (sqrt(17) + 3))*4)**2 + sqrt(17) + (3 + sqrt(17))*3. 19*sqrt(17)/5 + 153 Simplify (2 + (-1*2*sqrt(22))/(sqrt(98)*3 + sqrt(2)))**2. -4*sqrt(11)/11 + 45/11 Simplify -6*((sqrt(1008)*-2 - sqrt(1008)) + -4 + -5) + 1. 55 + 216*sqrt(7) Simplify (4*sqrt(2240)*3)/(sqrt(10)/(sqrt(200) + (sqrt(200)*-3 - sqrt(200)))). -2880*sqrt(7) Simplify -1*((sqrt(144) - (sqrt(144) + sqrt(144) + 2*sqrt(144)))/sqrt(3))/(sqrt(96)*2 - sqrt(600)*-2). 3*sqrt(2)/14 Simplify 3 + ((sqrt(242) + 0)*1 + -3*(sqrt(242)*2 + sqrt(242) + sqrt(242)) + sqrt(242))**2. 24203 Simplify (-2*(sqrt(187) + (sqrt(187) + (sqrt(187) - (sqrt(187)*2 + sqrt(187))))*5 + sqrt(187)))/(sqrt(110)/(-4*sqrt(1210))). -264*sqrt(17) Simplify (4*(sqrt(99)*1 - sqrt(99)) - (sqrt(99) + -5*1*sqrt(99)))/(-2*1*sqrt(9)*-5). 2*sqrt(11)/5 Simplify (-4 + (-4*(sqrt(102) + -2*sqrt(102)))/(5*(sqrt(6) - sqrt(6)*-1))*6)*6. -24 + 72*sqrt(17)/5 Simplify (4 + -1*4*(sqrt(125) + sqrt(125) + 0 + -4) + 4)**2. -1920*sqrt(5) + 8576 Simplify ((-2*sqrt(75) - -5*-2*sqrt(3)) + ((-1*sqrt(33))/sqrt(11) - (sqrt(3) - (sqrt(3)*1*3 - sqrt(3)))))**2. 1200 Simplify (3*(1 + ((sqrt(80) + 2)*2 - (2 + sqrt(80) + 3))))**2. 720 Simplify (sqrt(68) + -4*2*sqrt(68))/(sqrt(64)*-2). 7*sqrt(17)/8 Simplify -2*(((sqrt(325) + sqrt(325)*1 + 0)**2 - (sqrt(325) - (0 + (1 + sqrt(325) - sqrt(325))))) + -2 + (6*(0 + sqrt(325)))**2). -25998 + 10*sqrt(13) Simplify (2*(sqrt(84) - (-1*sqrt(84) - sqrt(84))))/((sqrt(7)*-2 + sqrt(7))*-2). 6*sqrt(3) Simplify -2*((sqrt(637)*2)**2*-3 + (2*sqrt(637))**2*1 + -3). 10198 Simplify -1 + (3*(2*sqrt(2200) - sqrt(22))/(-1*sqrt(1331)))**2. 6377/121 Simplify ((sqrt(24) + (-4*sqrt(48))/sqrt(2))/(sqrt(768)*-3) + -1)**2*5. -5*sqrt(2)/4 + 165/32 Simplify 2*(-5*(sqrt(5)*-2 + -1) + -4 + sqrt(5) + sqrt(5) + ((sqrt(5) + 3 + sqrt(245))**2 - sqrt(5))). 118*sqrt(5) + 660 Simplify (sqrt(7344) + sqrt(7344) + (sqrt(7344) - (4*sqrt(7344)*-1 - sqrt(7344)) - sqrt(7344)) + sqrt(7344) + sqrt(7344) + sqrt(7344))/((6*sqrt(300))/sqrt(4)). 4*sqrt(17) Simplify (sqrt(144)/((3*sqrt(108))/sqrt(9)))/((sqrt(4) + sqrt(40)/sqrt(360))*5). 2*sqrt(3)/35 Simplify (sqrt(15) - (sqrt(1500) - 2*sqrt(1500) - sqrt(1500)))/sqrt(3)*-4 + -5*sqrt(30)/(sqrt(162)/sqrt(3)). -257*sqrt(5)/3 Simplify -4*((((sqrt(171) - sqrt(171)*-2)*5 + sqrt(171))*-2)/((sqrt(1296) - 2*sqrt(1296))*5))**2. -4864/225 Simplify (6*(sqrt(1700) + sqrt(1700) + -3 + 5 - 6*(sqrt(1700) + (sqrt(1700) - -1*sqrt(1700))))*-6)**2. -829440*sqrt(17) + 564024384 Simplify (-1 + (sqrt(11) + 2)**2 + sqrt(33)/(3*sqrt(3)))*-6. -26*sqrt(11) - 84 Simplify (5*sqrt(78)*-2)/(sqrt(24)/sqrt(4)*-6) + -3. -3 + 5*sqrt(13)/3 Simplify (-2*(sqrt(495)/(3*sqrt(9)) - sqrt(55)))/(sqrt(40)/(sqrt(80)/(-2*sqrt(10)))). -2*sqrt(11)/3 Simplify ((-4 + (0 + sqrt(2057) - sqrt(2057)) + -5 + sqrt(2057) + -1 + sqrt(2057))*-5)**2. -11000*sqrt(17) + 208200 Simplify ((sqrt(800) + sqrt(800) + 4*sqrt(800)*1)/(sqrt(4) + -5*sqrt(4)*-2 + 6*(sqrt(4) - sqrt(12)/sqrt(3))))**2. 7200/121 Simplify ((sqrt(637) - (sqrt(637) + -1 + sqrt(637)))**2 + sqrt(637) - sqrt(637)) + 5 + (4*-1*sqrt(52))**2. -14*sqrt(13) + 1475 Simplify -2 + ((sqrt(80) + sqrt(20) + sqrt(20))/sqrt(4) - sqrt(5)) + 4*(sqrt(245) + sqrt(245) + 2*sqrt(245)). -2 + 115*sqrt(5) Simplify 3*(sqrt(1300) - (sqrt(1300)*2 + sqrt(1300))) + 5*(sqrt(13) + -3*sqrt(13)*4). -115*sqrt(13) Simplify (sqrt(2448) - -1*sqrt(2448) - sqrt(2448)) + -2 - (2 + (sqrt(68)/sqrt(4)*2)**2). -72 + 12*sqrt(17) Simplify ((-1*5*(sqrt(272) - (0 + sqrt(272) + sqrt(272))) - -5*(-2 + sqrt(272) + -2*sqrt(272)))*6)**2. 3600 Simplify (4 + sqrt(833) + 5*sqrt(833) + (sqrt(833) + 2)*6)**2. 2688*sqrt(17) + 120208 Simplify (1*sqrt(2816))/(sqrt(16)*-3) + (-5 + sqrt(275) + sqrt(11) - sqrt(33)/sqrt(108)). -5 + 9*sqrt(11)/2 Simplify ((sqrt(19) + (-1*sqrt(152))/sqrt(8) - 5*sqrt(57)/sqrt(3)) + -2)**2 + (sqrt(171) - (sqrt(171)*1*6 - sqrt(171)) - (3 + 0 + sqrt(171))**2). -10*sqrt(19) + 299 Simplify ((3*-2*sqrt(2744) + sqrt(2744))/((2*sqrt(128) - sqrt(128))*-5))**2. 343/16 Simplify ((sqrt(1331) + sqrt(1331)*1 + -4 + sqrt(1331))*-3 - (((sqrt(1331) - (sqrt(1331) + -2)) + -4 - sqrt(1331) - sqrt(1331)) + 2))**2. -1848*sqrt(11) + 65363 Simplify (((sqrt(432)*2 + sqrt(432))*1)/sqrt(12))/(sqrt(972) + (sqrt(972) + sqrt(972)*-3)*3). -sqrt(3)/15 Simplify (-1 + sqrt(425) + 3 + sqrt(425) - (-3 + -1*sqrt(425)))**2 + 1. 150*sqrt(17) + 3851 Simplify (sqrt(297)/((sqrt(110) - sqrt(110)*2)/sqrt(10)))/(sqrt(99)/(sqrt(11) + sqrt(44)/sqrt(4) + sqrt(11) - sqrt(11)) - (sqrt(9) - 1*sqrt(1089))). -2*sqrt(3)/21 Simplify (((sqrt(832)*1*-1 - sqrt(832)) + (sqrt(832) - 6*(sqrt(832)*1 + sqrt(832)) - sqrt(832)))*5)**2*5. 20384000 Simplify (2*-1*(sqrt(26)*-2 - sqrt(26)))/((sqrt(128)*2 + sqrt(2))*1). 6*sqrt(13)/17 Simplify ((2*sqrt(11)*-1 - sqrt(11)*2*3) + ((sqrt(220)
{ "pile_set_name": "DM Mathematics" }
*3*u + 65*h**3 + 2*h*j**2*u - 46*j**2*u + j**2 + j with respect to u. h**3 + 2*h*j**2 - 46*j**2 Differentiate 9205*d**3 - 12972 with respect to d. 27615*d**2 What is the first derivative of 237*g**3 + 145? 711*g**2 What is the first derivative of 515*g*j**4*r - g*r - 3*g + j**2*w + 3*j*r*w - r + 280*w wrt j? 2060*g*j**3*r + 2*j*w + 3*r*w What is the second derivative of 125*d**4 - 9*d**2 - 91*d - 1? 1500*d**2 - 18 What is the derivative of -2*u**2*z**3 + 4*u**2 - 143*u*z**3 - 10*u wrt z? -6*u**2*z**2 - 429*u*z**2 Find the second derivative of 4*b*i**2*s - 5*b*i**2 - 6*b*i*s + b*i + 3*i**2*s - 8*i*s - i wrt i. 8*b*s - 10*b + 6*s Differentiate a**2 - 1701*a + 1074 wrt a. 2*a - 1701 Find the third derivative of -351*t*v**3 + 2*t*v**2 + 3*t - 2 wrt v. -2106*t Find the first derivative of 275*n**4 - 16. 1100*n**3 What is the third derivative of -123*i**2*k**3 + i**2*k + 141*i*k**2 - 2*i wrt k? -738*i**2 What is the second derivative of -57*g**3*h**2*r - 2*g**3*h**2 - 8*g**3 + 3*g**2*h*r - 5*g*h - 2*h**2*r wrt h? -114*g**3*r - 4*g**3 - 4*r Differentiate -6464*u*y**2 + 4760*u wrt y. -12928*u*y What is the second derivative of s**5 - 594*s**4 + 3*s + 285? 20*s**3 - 7128*s**2 Find the third derivative of 61*i**5 - 31*i**4 - 1675*i**2 wrt i. 3660*i**2 - 744*i Find the third derivative of -29*k**6*m**2 + k**6*z - 3*k**2*m**2*z - 10*k**2*m*z wrt k. -3480*k**3*m**2 + 120*k**3*z What is the second derivative of 2493*v**2 - 5409*v wrt v? 4986 Find the first derivative of -118*f*i**2 - f*i*n - 2*i**2 - i*n - 367 wrt f. -118*i**2 - i*n What is the second derivative of 555*s**2 + 2*s + 142 wrt s? 1110 Find the second derivative of 2*f**2*t*v**3 + f**2*v**3 + 13*f**2 + f*t*v - 22*f*t + f*v**2 + 3*t*v**3 wrt f. 4*t*v**3 + 2*v**3 + 26 Differentiate -4*j**2*m + j**2*o + 13*j*m**2*o - 21*j*o + 2*m*o wrt m. -4*j**2 + 26*j*m*o + 2*o Find the second derivative of -a**5 - 2*a**3*n + 362*a**2*n + 2*a**2 - 56*a*n - 49*a - n wrt a. -20*a**3 - 12*a*n + 724*n + 4 Find the third derivative of -349*n**3 - n**2 - 139*n wrt n. -2094 What is the third derivative of -46*a**5*b + 3*a**3*b**3 - 3*a**2*b - 4*b**3 wrt a? -2760*a**2*b + 18*b**3 What is the second derivative of -1784*i**5 - 9*i? -35680*i**3 What is the first derivative of 2*b**3*q**3*u + 3*b**3*q**3 + 12*b**3*q*u - 104*q**3 wrt u? 2*b**3*q**3 + 12*b**3*q Find the second derivative of 1067*l**2 + 801*l. 2134 Find the third derivative of -254*m**3 - 122*m**2 - 10*m. -1524 What is the first derivative of 187*q**3 + 2*q**2 - 194? 561*q**2 + 4*q Find the third derivative of -37*h**2*n**3 - 2*h**2 - 94*h*n**2 - 4*n**4 - n**3 wrt n. -222*h**2 - 96*n - 6 Differentiate 3*r**3 + 5*r**2 + 6*r - 4785 with respect to r. 9*r**2 + 10*r + 6 Find the first derivative of -110*v**2 - 412. -220*v Differentiate -64*l*u**2 + 4*l - 2*u**2 + 50*u with respect to l. -64*u**2 + 4 Find the third derivative of -144*q**6 - 116*q**2 wrt q. -17280*q**3 Differentiate 160*o*p*q + 182*o*p + 2*o - p + 2*q wrt q. 160*o*p + 2 Find the third derivative of 8*c**2*q**4 - 7*c**2*q + 7*c*q**4 - 10*c*q**2 wrt q. 192*c**2*q + 168*c*q What is the derivative of -32*j**2*z**3 - 6*j**2 + 2*j*z**2 + 2*z**3 - 58*z**2 wrt j? -64*j*z**3 - 12*j + 2*z**2 Find the first derivative of 2*g**3*t - 109*g**3*y + 4*g**3 - 11*g*y + 2*g + 212*t**2*y + 16*t*y wrt t. 2*g**3 + 424*t*y + 16*y Find the third derivative of -1798*a**2*o**3*r**4 - a**2*o**3*r**2 + 1545*a**2*o*r**2 - 3*r**4 wrt r. -43152*a**2*o**3*r - 72*r Differentiate 18266*k*w**2 + 16227*w**2 with respect to k. 18266*w**2 Find the first derivative of -2*g*o**3 + 2*g*o**2*u + g - 94*o**3*u - 6 wrt u. 2*g*o**2 - 94*o**3 What is the third derivative of -3*q**5 + 4311*q**4 - 4635*q**2 - 2*q wrt q? -180*q**2 + 103464*q What is the second derivative of -305*l**2 + 23*l + 3 wrt l? -610 Differentiate -2*y**2 - 309*y - 1394 wrt y. -4*y - 309 Differentiate -f**2*i*x - f**2*i - 124*f**2*p*x + f*p - 9*i**2*p - 2*i**2 - p*x with respect to i. -f**2*x - f**2 - 18*i*p - 4*i What is the third derivative of -134*q**4*r**2 + 2*q**2*r**2 - 94*q**2 - 2*r**2 wrt q? -3216*q*r**2 Find the third derivative of 6*f**4*l + 4*f**4 + 12*f**3*l - 4*f**2*l - f*l - 2*l wrt f. 144*f*l + 96*f + 72*l What is the third derivative of 226*v**3 + 289*v**2? 1356 What is the first derivative of 115*h**3*k**2*y - h**3*k**2 + 391*k**2*y + 2*k wrt h? 345*h**2*k**2*y - 3*h**2*k**2 What is the derivative of 2*m*n**2 + 2758*m*n*v + 2*m*v - 99*m - n**2 + 13*v - 1 wrt n? 4*m*n + 2758*m*v - 2*n Find the third derivative of -2122*o**3 - 2*o**2 + 357*o. -12732 What is the second derivative of -210*t**4 - 298*t wrt t? -2520*t**2 What is the second derivative of 12*n**2*o**3 + 6*n**2*o**2 - 36*n**2 + 15*n*o - o**3 wrt o? 72*n**2*o + 12*n**2 - 6*o What is the derivative of 114*r**2 - r - 1148? 228*r - 1 What is the derivative of -701*x**2 + 1048? -1402*x Find the first derivative of -25*g**2*t*x**3 - 6*g**2*t - 5*g**2*x - 2*t*x**3 + 24*t*x**2 + 8*x**3 + 4*x wrt g. -50*g*t*x**3 - 12*g*t - 10*g*x Find the second derivative of -3*f**2*u**2 - 11*f**2 - 1229*f*u**2 + f*u wrt f. -6*u**2 - 22 Find the second derivative of -2*a*v**2 - a - 3875*v**2 - 1927*v wrt v. -4*a - 7750 Differentiate 4498*h*t - 5*h - 581 wrt t. 4498*h Find the first derivative of -148*d**4 + 3*d**2 - d*k**3 - k**3 + 6780*k**2 wrt d. -592*d**3 + 6*d - k**3 Find the third derivative of -21792*c*n**5 + 2*c*n**4 - 7*c*n**2 - 5*c + 2*n**2 - 78*n wrt n. -1307520*c*n**2 + 48*c*n What is the first derivative of -455*x**3 + 890 wrt x? -1365*x**2 Differentiate -b**4*l + 119*b*l**2 - 174*l**2 wrt b. -4*b**3*l + 119*l**2 Find the second derivative of -245*x**2 + 264*x wrt x. -490 What is the derivative of 2*p*u**2 + 226*p - 24*u**2 wrt p? 2*u**2 + 226 What is the third derivative of -3*c**2*u**4 + 333*c**2*u**2 + 2*c*u - 93*u**5 - 2*u**4 wrt u? -72*c**2*u - 5580*u**2 - 48*u What is the third derivative of -7*h**3*v**3 - 11*h**3*v**2 - 183*h**3 + 23*h*s*v**3 - 2*s*v**3 + 2*s - v**3 wrt v? -42*h**3 + 138*h*s - 12*s - 6 Find the third derivative of -297*v**3 + 37*v**2 - 1 wrt v. -1782 What is the third derivative of -3*h**6*z - 8*h**3*t + 13*h**3*z**2 + 1606*h**2*t*z**2 wrt h? -360*h**3*z - 48*t + 78*z**2 Find the first derivative of -1983*b*q + 22851*b - 2*q wrt q. -1983*b - 2 Find the second derivative of -2236*l**2 + 76*l wrt l. -4472 Differentiate 731*s*t**2 + t**2 - 390 with respect to s. 731*t**2 Differentiate -45*j*y**2 - 2*j*y - 64*j - 2*y**2 - 1 with respect to y. -90*j*y - 2*j - 4*y What is the first derivative of -i*l*s - 18*i*l - 4*i - 37*l*s - 10*l wrt i? -l*s - 18*l - 4 What is the first derivative of -88*g + 164 wrt g? -88 What is the second derivative of -28006*c*o*z**2 - 2*c*o*z - 2651*c wrt z? -56012*c*o What is the second derivative of -1457*m**3 + 715*m - 3 wrt m? -8742*m Find the first derivative of 2*j**2*y**3 - 7*j**2*y**2 + 40*j**2 - 2190*y**3 wrt j. 4*j*y**3 - 14*j*y**2 + 80*j What is the second derivative of 379*i**2*r**2 - 15*i**2 - 2*i*r**2 - i*r - 2*r**4 - r**2 - 4*r wrt r? 758*i**2 - 4*i - 24*r**2 - 2 What is the first derivative of -272*d**2 - 6*d + 2472 wrt d? -544*d - 6 Find the first derivative of -17*c**2*f**2*y - 159*c**2*f - 4*c**2*y + 2*f**2 wrt y. -17*c**2*f**2 - 4*c**2 Find the third derivative of 6*f*h**3*r**3 - f*h**2*r**3 + 2*f*h**2*r**2 - 60*f - 16*h**3*r**3 wrt h. 36*f*r**3 - 96*r**3 Differentiate -29*j**2 - j - 192 wrt j. -58*j - 1 What is the second derivative of 38*x**3 + 64*x**2 - 3192*x? 228*x + 128 Find the third derivative of -410*r**5 - 1999*r**2. -24600*r**2 Differentiate -1024*j*r + 1157*j wrt r. -1024*j Find the second derivative of 3035*a**2*f**2 + 218*a**2 - 2*f wrt f. 6070*a**2 Find the first derivative of -2*a**3*m*p - 3*a**3*m*r + a**3 + 10*a**2*m**3*r + 99*a*m**3*p - a*m**2*p + 2*p*r wrt r. -3*a**3*m + 10*a**2*m**3 + 2*p Find the third derivative of 30*o**3*x**2 + 5*o**3 + o**2*x**2 + 3*o*x**2 - 15*o*x wrt o. 180*x**2 + 30 Find the second derivative of -4999*z**5 + z**4 - 7693*z - 2 wrt z. -99980*z**3 + 12*z**2 What is the second derivative of 50*h**4 + h**3*t + 2*h**2*t - 15*h*t - 2*h - 3 wrt h? 600*h**2 + 6*h*t + 4*t What is the second derivative of -129*m**5 + 83*m? -2580*m**3 Find the third derivative of -4404*l**3*m**3 + 2*l**3 - 2*l**2 + 330*l - m**3 +
{ "pile_set_name": "DM Mathematics" }
+ -1 + sqrt(468) + -4 + sqrt(468))**2 - (-1 + sqrt(468) + 0))*6 + 5 + 5. -1116*sqrt(13) + 25438 Simplify (2 + (2*(sqrt(176) - (sqrt(176) - (sqrt(176) - sqrt(176)*2))))/(sqrt(16)*-1))**2. 8*sqrt(11) + 48 Simplify ((sqrt(3087) + sqrt(3087) + sqrt(3087)*-5)/(sqrt(27)/(sqrt(3)*4) + sqrt(9) - sqrt(9))*2)**2. 197568 Simplify (3 + 2*(sqrt(75)/(sqrt(405) - sqrt(5)))/sqrt(5))*-3. -9 - 3*sqrt(3)/4 Simplify (sqrt(130) - -5*-1*sqrt(130) - (sqrt(130) + (2*sqrt(130) - sqrt(130))*5))/((sqrt(160)/sqrt(4))/sqrt(4) + (sqrt(10)*-2 - sqrt(10))*-6). -10*sqrt(13)/19 Simplify (2 + 2*(-2 + sqrt(612)))**2*-1*-1. -48*sqrt(17) + 2452 Simplify 3*(sqrt(76) + 2)**2 - ((2 + sqrt(2299))**2 + -2 + sqrt(2299)). -2061 - 31*sqrt(19) Simplify sqrt(35)/sqrt(63) + 1 + sqrt(80) + -4 + 3. 13*sqrt(5)/3 Simplify 6*(sqrt(605) - (1*sqrt(605)*6)**2) - (-2*sqrt(605)*2 + sqrt(605) + sqrt(605) + sqrt(605) + 5*(sqrt(605) + 0)). -130680 + 22*sqrt(5) Simplify ((5*(-1 + sqrt(1539)) + sqrt(1539)*1 + 5 + -5*(0 + sqrt(1539) + 2))*-5)**2. -4500*sqrt(19) + 40975 Simplify (1*sqrt(32) - (1 + (sqrt(2) - sqrt(8))))**2 - ((sqrt(72)*1)**2*1 - (2*sqrt(72))**2*-3). -885 - 10*sqrt(2) Simplify (3 + 0 + (sqrt(153) + (sqrt(153) - 1*sqrt(153)) + sqrt(153))**2*2)*1. 1227 Simplify -2 + (((2*sqrt(162))/sqrt(6))/(sqrt(99)/(sqrt(11) - (sqrt(55)/sqrt(5) + sqrt(11)))))**2. 10 Simplify (sqrt(1584) - (sqrt(1584) - (sqrt(1584) + -5*sqrt(1584)*4)))/(6*(sqrt(4) + (sqrt(120)/sqrt(5) - sqrt(24))/sqrt(6))). -19*sqrt(11) Simplify (-3 + (3*-1*sqrt(224))/(sqrt(8) - (sqrt(288) - (-2*sqrt(288) - sqrt(288))) - sqrt(8)))**2. -3*sqrt(7)/2 + 151/16 Simplify (sqrt(3) + 2 + 4 + 4 - (sqrt(3)*1*-4 + sqrt(9)/sqrt(3) + -4))**2*2. 224*sqrt(3) + 488 Simplify -3 + sqrt(360)/sqrt(2) + (sqrt(270)/(sqrt(6)*-3))/sqrt(9). -3 + 17*sqrt(5)/3 Simplify 5*((sqrt(171) - (sqrt(171) - 1*sqrt(171)))**2 + -1) + -2 + ((sqrt(171) - (sqrt(171) + sqrt(171)*1)) + -1)**2. 6*sqrt(19) + 1020 Simplify ((sqrt(12)/(sqrt(24)/sqrt(6)) - (sqrt(192) - 3*sqrt(192))) + (-3*sqrt(30)*-1)/(sqrt(250) - -1*sqrt(250) - sqrt(250)))**2. 23232/25 Simplify (((sqrt(3) + -2*sqrt(12))**2 - (sqrt(3) + (sqrt(3) + sqrt(3)*-1 + 4)**2 + sqrt(3))) + (sqrt(243) + 1)**2 + sqrt(135)/sqrt(5))*-6. -1530 - 114*sqrt(3) Simplify (-5 + 3 + (sqrt(2) + sqrt(2) + (sqrt(100) + sqrt(4) - sqrt(4))/sqrt(2) - sqrt(2)) + -5)**2. -84*sqrt(2) + 121 Simplify (-1*(0 + sqrt(3)) - (sqrt(3) - -3*sqrt(12)/sqrt(4)) - -6*(2 + sqrt(108)))**2. 744*sqrt(3) + 3027 Simplify sqrt(1584) + (-3 + sqrt(1584) + (sqrt(1584) - (2 + sqrt(1584) - sqrt(1584))))**2 - (-4 + sqrt(1584) + -4). -240*sqrt(11) + 6369 Simplify ((-2*sqrt(114)*-1)/((3*sqrt(12))/sqrt(2)))**2 + 5. 121/9 Simplify (sqrt(300)/(sqrt(10) + sqrt(640)))/(-4*sqrt(490)). -sqrt(3)/252 Simplify (-6*((sqrt(3) + 2)*-4 + (sqrt(18)*3)/sqrt(6)) + -1)**2. 564*sqrt(3) + 2317 Simplify 4*-5*(-3*sqrt(605) + -3)*-5. -3300*sqrt(5) - 300 Simplify (5 + sqrt(176) + 1 + 0)**2*-3*1. -636 - 144*sqrt(11) Simplify (-3 + ((sqrt(200) - (sqrt(200) + 2)) + sqrt(2)*2 + 3 - sqrt(10)/(sqrt(5) - (sqrt(5) + 4*sqrt(5)*-5))))**2. -39*sqrt(2)/5 + 2321/200 Simplify ((sqrt(2560)*1)/sqrt(8))**2 + (sqrt(5) + 1)*-6 + sqrt(5) + sqrt(405)/sqrt(9). -2*sqrt(5) + 314 Simplify -5*(sqrt(175) - (sqrt(175)*1 - sqrt(175))**2*6 - 3*2*sqrt(175))*6. 750*sqrt(7) Simplify 1 + 3*((sqrt(272) + 2)**2 + -3 + sqrt(272) - sqrt(272))*3. 144*sqrt(17) + 2458 Simplify (sqrt(38)/sqrt(2)*-4 + (sqrt(171) - (sqrt(171) + 0)))**2 + 1*sqrt(304) + sqrt(190)/(sqrt(50)/sqrt(5)). 5*sqrt(19) + 304 Simplify -5 + (-2 + 0 + sqrt(637) + 3)**2 + -2. 14*sqrt(13) + 631 Simplify 3*(-3 + 2 + -1*sqrt(56)/(sqrt(8)*1))**2. 6*sqrt(7) + 24 Simplify (-2*(sqrt(132) + sqrt(132) + (3*sqrt(132) - sqrt(132))))/(sqrt(12) + -3*sqrt(12)*-3). -4*sqrt(11)/5 Simplify 3 + (sqrt(17) + -3*sqrt(17)*-1 + -4 + (sqrt(6171)*2 - sqrt(6171))/sqrt(3))**2. -120*sqrt(17) + 3844 Simplify (0 + 2 + -4 + -5 + sqrt(252)*-2 + sqrt(252) + -1)**2. 96*sqrt(7) + 316 Simplify ((sqrt(57) - (sqrt(57) + -2*sqrt(456)/sqrt(8)))*-2)/(((sqrt(15) + sqrt(15)*-2 + sqrt(15))*3 - sqrt(15))/sqrt(5)). 4*sqrt(19) Simplify (6*sqrt(40)*1 + sqrt(200)/(sqrt(45) + sqrt(5)))/(-1*sqrt(512)*-4). 25*sqrt(5)/128 Simplify (sqrt(5) + (sqrt(500)*-1 - sqrt(500) - sqrt(500)) - (sqrt(720)*-1)**2) + (sqrt(20)/((sqrt(28)*3 - sqrt(28))/sqrt(7)))**2. -2875/4 - 29*sqrt(5) Simplify 0 + (-1*2*sqrt(6))/((sqrt(243) - sqrt(27))/sqrt(9)) + 1. -sqrt(2) + 1 Simplify (1*(sqrt(108) - (0 + sqrt(108) + 0)**2) - (-2 + (sqrt(108)*-2)**2 + ((sqrt(108)*-2 + 4)**2 - sqrt(108))))*-2. -216*sqrt(3) + 1972 Simplify 2 + (1*sqrt(30)*-4*2)/(sqrt(80)/((sqrt(16) + sqrt(64)/sqrt(4))/sqrt(2))). -16*sqrt(3) + 2 Simplify -1*((6*((sqrt(1872) - (sqrt(1872) + sqrt(1872)*-1) - sqrt(1872)) + sqrt(1872)) + 0)*-1)**2. -67392 Simplify 1 + -2 + (sqrt(2057)*-1 + sqrt(2057) + 4 - sqrt(2057)) + 4. -11*sqrt(17) + 7 Simplify 0 + sqrt(7)*-2*5 + -3 + -3*sqrt(56)/(sqrt(8) + (sqrt(56)/(sqrt(7)*-1) - sqrt(8)) - sqrt(8)). -17*sqrt(7)/2 - 3 Simplify 3*(-2*sqrt(28)*6 + (sqrt(112) + -2 + -3)**2). -192*sqrt(7) + 411 Simplify (sqrt(768)*-2)/(sqrt(12)/sqrt(2)*1)*-3. 48*sqrt(2) Simplify (4 + -4*((sqrt(208) + sqrt(208)*-1 - sqrt(208)) + sqrt(208)) + 3)**2*3. 147 Simplify -5*(-5*(sqrt(77)*1 + sqrt(77)) - sqrt(77))/(sqrt(891)*3). 55*sqrt(7)/27 Simplify (4 + sqrt(99)*-4)**2 + ((sqrt(88) + (sqrt(88) - -4*(sqrt(88) + sqrt(88)*1)) + sqrt(88))/sqrt(8))**2. -96*sqrt(11) + 2931 Simplify sqrt(605) + 5*(1 + sqrt(605)) - ((sqrt(2500) - (sqrt(2500) - -2*sqrt(2500))) + sqrt(2500))/sqrt(5). 5 + 76*sqrt(5) Simplify (0 + (-4*(sqrt(1573) + -1*sqrt(1573)) - sqrt(1573)))**2 + -5 + -4 + -3. 1561 Simplify ((-2 + (sqrt(19)*2 - sqrt(19)))*-4 + sqrt(57)/(sqrt(243)*-2) + 1)**2. -73*sqrt(19) + 127495/324 Simplify (6*(sqrt(17) + -4*sqrt(170)/sqrt(10) + sqrt(17) + sqrt(17)))**2 + 5 + -3. 614 Simplify 5*sqrt(52)/(2*sqrt(4)) - sqrt(52)/((1*sqrt(24))/sqrt(6)). 3*sqrt(13)/2 Simplify -3 + sqrt(9)/(sqrt(363)*-2 - sqrt(3))*3*-2. -3 + 6*sqrt(3)/23 Simplify (sqrt(242) - (sqrt(242) + -1)) + -1 + (sqrt(242) - (sqrt(242) + (sqrt(242) - 2*sqrt(242)*3)))**2. 6050 Simplify ((5*sqrt(630)*-4)/(3*sqrt(10)*-2))**2. 700 Simplify ((-1 + sqrt(5))*1 + -4 - sqrt(10)/(5*sqrt(2)*1))*-6 + 0. -24*sqrt(5)/5 + 30 Simplify (3 + -6*sqrt(704)*-1*-4 + 5)**2. -3072*sqrt(11) + 405568 Simplify ((sqrt(768) + 0)*6 - (-4 + sqrt(288)/(sqrt(150) - sqrt(6))))**2. 760*sqrt(3) + 27091 Simplify 5*(3 + (2*(sqrt(156) - (-6*sqrt(156) + sqrt(156)) - sqrt(156)))/sqrt(12)) + -3. 12 + 50*sqrt(13) Simplify ((sqrt(128) + -2 - sqrt(20)/(sqrt(250) - sqrt(10))) + 0)**2. -31*sqrt(2) + 993/8 Simplify (-1 + sqrt(76))*-4 + 0 + (sqrt(76)*-2)**2*3 + (sqrt(76) + 1 + 2 - sqrt(76)). -8*sqrt(19) + 919 Simplify (sqrt(84)/((sqrt(24)*1)/sqrt(8)) + -1)**2. -4*sqrt(7) + 29 Simplify (((sqrt(102)*2)/sqrt(3) + sqrt(34))*-1)/(((-4*sqrt(14))/sqrt(7) - sqrt(2))*-5). -3*sqrt(17)/25 Simplify (1 + sqrt(147) + -2 - (sqrt(147) - (3 + (sqrt(147) - (sqrt(147) + 1)) + sqrt(147))**2))*4*2. 224*sqrt(3) + 1200 Simplify (((-4*-4*sqrt(242) + sqrt(242))/sqrt(11))/((sqrt(2662)*1 + sqrt(2662))/sqrt(2)))**2. 289/242 Simplify ((sqrt(1911) + sqrt(1911)*-1 + sqrt(1911))/sqrt(3))**2 + (3 + sqrt(52))*-4. -8*sqrt(13) + 625 Simplify (-5 + (2 + sqrt(1539) + 0 + 0)*5)**2. 450*sqrt(19) + 38500 Simplify (sqrt(90)/sqrt(5) + sqrt(8)/sqrt(4)*-5)**2 + 5 - ((sqrt(98) + 5*sqrt(98)*2 - sqrt(98)) + sqrt(98) + sqrt(98) + sqrt(98) + sqrt(98)*1 + 0)**2. -19195 Simplify (sqrt(891) + sqrt(891) + (-4*(0 + sqrt(891) + sqrt(891)) - sqrt(891)) + -1 + sqrt(891) + sqrt(891)*-2)**2. 144*sqrt(11) + 57025 Simplify ((-1 + sqrt(891))*-5)**2 - (2*sqrt(891) + -5) - 4*(5 + sqrt(891)*-1). -432*sqrt(11) + 22285 Simplify (0 + -2 + (sqrt(847) - (sqrt(847) + 0 - sqrt(847))))**2 + sqrt(49)/((sqrt(7)*1 + sqrt(7))*-5)*2. -221*sqrt(7)/5 + 851 Simplify ((-2*sqrt(192))**2*5 - (sqrt(147) + 5*(sqrt(147) + 0))) + 0. -42*sqrt(3) + 3840 Simplify (6*sqrt(12)*3*3)/(sqrt(4) - 2*sqrt(400) - ((sqrt(324) - -2*sqrt(324)) + sqrt(324) + sqrt(324))). -27*sqrt(3)/32 Simplify (6*(sqrt(24) + sqrt(24) + -3*sqrt(24) + sqrt(24))*-2)/(2*4*sqrt(12)*-4). 0 Simplify ((sqrt(209)*-2*6)/(sqrt(2156)/sqrt(4) + sqrt(11)))**2 + 1. 175/4 Simplify ((sqrt(756) + -2*sqrt(756) - sqrt(756)) + sqrt(756) - (-6*(sqrt(21) - sqrt(21)*-2) - sqrt(21)))/((sqrt(28) - sqrt(336)/(-2*sqrt(12)))/sqrt(4)). 2
{ "pile_set_name": "DM Mathematics" }
w**3 + 9*w + 11. Let a be h(f). Let g = 3 + 30. What is the greatest common divisor of a and g? 33 Let v(j) = -12*j**3 + 5*j**2 + 2*j + 5. Let x be v(-5). Calculate the greatest common divisor of 20 and x. 20 Let r(q) = -3*q + 2. Let y be r(3). Let t be (-15 - y)*(0 + 1). Let f be (162/(-4))/(3/t). Calculate the greatest common divisor of 12 and f. 12 Suppose -8*s - 127 = -135. Let y be 1/(-2 - (-2 - 1)). Calculate the highest common factor of y and s. 1 Let d(a) = a**2 - 1. Let p be d(3). Let o be (514/32)/(1/4) + 6/(-24). Calculate the greatest common divisor of p and o. 8 Let c = 96 - 52. Let b = -122 + 173. Suppose -5*t + b = v, t - c = -3*t - 4*v. What is the highest common divisor of t and 15? 5 Let v be 8/(-108) + (-1140)/(-81). What is the greatest common factor of 1694 and v? 14 Let m = 42 + -7. Suppose -4*f = -2*w + 14, 5*w - m = -0*w - f. What is the highest common divisor of w and 14? 7 Let r be (180/54)/(10/45). Let v be 93/6 - (-1)/2. Let w be 5*(v + -1 + 0). What is the highest common factor of r and w? 15 Let u(q) = q + 16. Let s be u(14). Suppose -25 - 5 = -2*b. What is the greatest common divisor of b and s? 15 Let g = 13 + -11. Suppose 2*m + 3*n - 9 = 0, -g*m = 2*m + 4*n - 24. What is the highest common factor of m and 9? 9 Let p(t) = -10*t - 300. Let w be p(-57). Calculate the greatest common divisor of 510 and w. 30 Let c = 46 + -26. Suppose b + 14 = -6*b. Let v be (7/(-21))/(b/(-1 - -25)). What is the greatest common divisor of v and c? 4 Let s be -58*((-60)/8 + -3). Suppose -3*m + 624 = 3*g, 3*m + s = 3*g - 15. Suppose 287 = 3*a - g. Calculate the greatest common factor of a and 15. 15 Let r be (-36)/(-7)*(10 + -3). Suppose 4*s = -4*n + r, -3*n + 2*s = -2*n + 6. Let l be 7 + (-2 - 0/n). What is the highest common factor of l and 40? 5 Suppose 251 = 4*n - 3*p, -n - 3*p = 3*n - 221. Let r = n + -48. What is the highest common divisor of r and 55? 11 Suppose 10*t = -161 + 931. What is the highest common divisor of t and 77? 77 Suppose -y - 162 = -4*i + 4*y, -4*i = -3*y - 158. Let b be 3*(30/(-9) - -4). Suppose 17 = b*c - 21. What is the highest common factor of c and i? 19 Let h(d) = -d**3 - 9*d**2 + 18*d - 5. Let j be h(-13). Let g = j + -233. What is the greatest common factor of g and 34? 34 Let v be ((-366)/(-427) - 11/21)*90. Let g be 50/4 - (-1)/(-2). Calculate the greatest common factor of v and g. 6 Let l(v) = 5*v - 79. Let k be l(16). What is the highest common divisor of 16 and k? 1 Let u = -301 - -312. Calculate the highest common divisor of 506 and u. 11 Let h be (0 - 47/5)*(-180)/36. Let z = h + 6. Calculate the highest common divisor of 159 and z. 53 Suppose -26*h - 10*h = -864. Calculate the greatest common divisor of h and 3. 3 Let m = -305 - -385. What is the greatest common divisor of 200 and m? 40 Suppose 0 = -r + 2*b + 20, -2*b + 22 = 4*r - 58. What is the highest common factor of r and 500? 20 Let x(k) = 481*k + 27. Let t be x(3). Calculate the highest common factor of 10 and t. 10 Let i(y) = 5*y - 23. Let k be i(3). Let w(q) = -4*q - 20. Let v be w(k). What is the greatest common factor of v and 8? 4 Let m(b) = 8*b**2 + 4. Let q be m(2). Suppose 2*w + 2*z = 18, 0 = 3*w + w + 3*z - 39. What is the greatest common divisor of w and q? 12 Let x(u) = u**3 + 15*u**2 - 187*u - 1. Let b be x(-23). Calculate the greatest common divisor of 8 and b. 4 Suppose -t + 3*b = -59, -t + 4*b = 2*b - 56. Let g = -47 + t. What is the highest common divisor of 6 and g? 3 Let y = 3073 + -2655. What is the greatest common divisor of y and 55? 11 Let g(v) = -v**2 + 35*v - 4*v - 21*v + 6. Let x be g(6). What is the highest common factor of x and 6? 6 Let b be ((-4)/(-6))/(2/33). Let y = b + -7. Suppose -a + 91 = -x, -y*a - 2*x + 359 = -7*x. What is the greatest common divisor of 12 and a? 12 Let v be (106/(-2))/((-7)/((-14)/(-2))). Calculate the greatest common factor of v and 212. 53 Let c(q) = 4*q - 103. Let l be c(27). Suppose 3*y - 31 = 134. Calculate the highest common factor of l and y. 5 Let l(q) = -q**2 + 5*q. Let y be l(3). Suppose 0 = -6*f + 6 + y. What is the greatest common divisor of 8 and f? 2 Suppose -7*d = -20 - 1. Suppose -d*f + 9 = 6*f. What is the highest common factor of 5 and f? 1 Let o = 61 - -56. Suppose -o = -g - 2*g. Let p = -28 + g. What is the greatest common factor of 77 and p? 11 Let n(w) = w**3 - 17 - 2*w + 4 + 9*w**2 - 4. Let i be n(-8). Calculate the greatest common factor of i and 7. 7 Let k = 651 - 645. Let b = 10 + -5. Suppose 3*v - 2*v - b = -u, -4*v = 5*u - 21. What is the greatest common factor of k and v? 2 Suppose 0 = -5*h - 5*f + 15, 0 = h + 3*f + 1 - 0. Suppose n = -4*s + h*s + 91, -2*s = 8. What is the highest common divisor of 58 and n? 29 Let i be -31*(-2 - 0 - -1). Calculate the greatest common factor of 31 and i. 31 Let q(r) = -5*r + 217. Let g be q(43). Let m = 28 - 6. What is the greatest common divisor of m and g? 2 Let y = -30 + 49. Let m(u) = u**3 + 3*u**2 + 2*u + 2. Let o be m(-3). Let i be o/14 - 1068/(-14). What is the greatest common divisor of y and i? 19 Suppose -724*w + 731*w = 56. Calculate the highest common factor of w and 1192. 8 Let t = -25 - -39. Suppose -3*z + 1 = -t. What is the highest common factor of 15 and z? 5 Let q(c) be the first derivative of c**4/4 + 4*c**3 - 15*c**2/2 - 4*c - 13. Let p be q(-13). What is the greatest common factor of p and 132? 22 Suppose 8*r - 4*r - 3*m - 1094 = 0, -1383 = -5*r - 4*m. What is the highest common factor of r and 50? 25 Let v = -94 + 124. Let n = -335 + 183. Let f = -107 - n. Calculate the greatest common factor of v and f. 15 Let w be 1/(2/9 + 404/(-1980)). What is the highest common factor of w and 33? 11 Suppose 2*v = 2*j + 46, 2*v = -3*v - 4*j + 79. Let x = 448 - 228. Suppose -3*b + 627 = 3*w, 3*b - w - x = 407. Calculate the greatest common divisor of v and b. 19 Let s be -45*((-84)/30 - -2). What is the greatest common factor of 84 and s? 12 Let t(h) = 11*h**2 - h + 8. Let p be t(-4). Calculate the highest common factor of p and 282. 94 Suppose 0 = -2*k, -8*j - 335 = -3*j + 4*k. Let q = 78 + j. What is the highest common factor of 1 and q? 1 Let b be (-26)/(-91)*(2 + 5). Let h(y) = y**3 + 2*y**2 - 4*y. Let g be h(b). What is the highest common factor of g and 88? 8 Suppose -s = w - 0*s - 5, 0 = -4*w - 3*s + 18. Suppose -5*k + 2*i = -452, -w*k - i = -101 - 168. Calculate the highest common divisor of k and 10. 10 Let n = 28 + -9. Let l = -16 + n. Suppose l*q - 246 = 39. Calculate the highest common factor of 19 and q. 19 Let h = 31 - 13. Let g be 4/(-14) + (-3177)/(-21). Suppose g = 3*j - 4*o, 4*o = j - 78 + 17. What is the highest common divisor of j and h? 9 Suppose -u + r + 21 = 0, 2*u - 54 = -r + 6*r. Calculate the greatest common factor of 459 and u. 17 Let p(h) = 16*h**2 + 22*h + 6. Let z be p(4). Suppose -2*x + 91 - 21 = 0. Calculate the greatest common factor of z and x. 35 Suppose 4*k - 33 = -l, -14 + 6 = -2*k. Let p be -1*((-2)/6 - 200/3). Suppose -p = -2*n - l. What is the greatest common divisor of n and 5? 5 Let k be (50/(-35))/(4/(-14)). Suppose -2*x + 2 = 0, 3*x - 16 - 37 = -k*t. Suppose 43 + 7 = 5*j. What is the greatest common divisor of j and t? 10 Let v be 12/66 + (-634)/(-22). Suppose -f = 5, 6*f - f - v = -2*x. Suppose -3*i - 51 = -5*g, 3*i + i = 4*g - 44. What is the greatest common divisor of x and g? 9 Let h be 3/2*(-120)/(-36). Let z be (-2)/(-3) - (-252)/27. Suppose n = -n + z. What is the greatest common divisor of n and h? 5 Suppose -o = 2*o - 105. Suppose 0 = 3*i - i - 6. Suppose 0 = 2*b + i*b - o. Calculate the greatest common divisor of 63 and b. 7 Let y be 3 - (5/(-15))/((-3)/(-153)). Let r = 64 + y. Let k(o) = 6*o - 8. Let u be k(6). What is the highest common divisor of u and r? 28 Suppose -4*d - 11 = o, o - 5*d - 6 = 28. Calculate the highest common divisor of 333 and o. 9 Suppose 5*u + 5*x - 95 = 0, -u - 5*x + 31 = -4. What is the highest common divisor of 1215 and u? 15 Suppose 44 = -4*z + 4*x, 0*x = 4*z - x + 56. Let s be (-339)/(-15) - z/(-25). Let m = -72 - -127. Calculate the greatest common factor of s and m. 11 Let v = 237 - 161. Suppose -4*i + 2*y + 342 = -v, 108 = i - 4*y. Let n = 20579 + -20566. Calculate the highest common divisor of i and n. 13 Let t be (-2 + 5)/(
{ "pile_set_name": "DM Mathematics" }
- 25 Let d(w) = -8*w. Let g(p) = -52*p**2. Calculate d(g(b)). 416*b**2 Let z(b) = -8*b**2 - 6*b**2 + 18*b**2. Let x(s) = 3*s. Determine x(z(f)). 12*f**2 Let d(m) = 104*m**2 - m. Let j(y) = y - 22. Give d(j(h)). 104*h**2 - 4577*h + 50358 Let a(u) = -9*u - 6. Let j(x) = -x - 1. Let z(y) = -a(y) + 6*j(y). Let q(t) = -10*t - 15. Let m(b) = b + 1. Let f(d) = -15*m(d) - q(d). Determine f(z(l)). -15*l Let j(m) = 25 + 37*m - 25. Let v(s) = s**2. Calculate v(j(h)). 1369*h**2 Let c(i) = i. Let q be c(2). Let a(m) = -q*m + m - m. Let j(z) = -2*z. Determine a(j(v)). 4*v Let g(f) = -f**2 + 2. Let a(l) = -1. Let d(b) = -2*a(b) - g(b). Let m(w) = 17*w. Give d(m(x)). 289*x**2 Let n(q) = -2*q. Let h(z) be the first derivative of z**2 + 14. Give n(h(m)). -4*m Let c(p) = -p. Let h(o) = -386*o**2. What is h(c(n))? -386*n**2 Let y(l) = -7*l. Let c(t) = 334*t. Determine y(c(u)). -2338*u Let q(f) = -15*f**2. Let u(i) = 2 + 885*i - 2 - 886*i. Calculate u(q(x)). 15*x**2 Let v(l) = 18*l**2. Let g(b) = -200*b**2 - 2*b. Determine g(v(p)). -64800*p**4 - 36*p**2 Let t(s) = -s. Let n = -44 + 77. Let f(q) = q - 2. Let u(i) be the first derivative of -15*i**2/2 + 33*i + 13. Let o(l) = n*f(l) + 2*u(l). Calculate t(o(a)). -3*a Let z(l) be the second derivative of l**3/6 + 3*l + 1. Let k(f) = 138*f. What is z(k(o))? 138*o Let t(a) = 5*a + 2. Let w(d) = -32*d - 11 + 11*d + 2. Let z(y) = -9*t(y) - 2*w(y). Let s(m) = m. Calculate z(s(o)). -3*o Let b(v) = 3899*v**2 - 2. Let c(o) = -o. Calculate c(b(d)). -3899*d**2 + 2 Let v(h) = -3*h**2. Let i(r) = 3*r + 2. Let m(t) = 5 - 2*t + 3*t + 2. Let l be m(-9). Let a(p) = -4*p - 3. Let k(x) = l*a(x) - 3*i(x). What is k(v(o))? 3*o**2 Let u(g) = 2*g + 3*g - 6*g. Let j(c) = -c**2 + c + 1. Let l(m) = m**2 + 3*m + 3. Let f(h) = 3*j(h) - l(h). What is f(u(i))? -4*i**2 Let x(t) = 0 + t**2 + 0. Let i(c) = c + 7. Let w(u) = -u - 6. Let r(o) = -6*i(o) - 7*w(o). Determine r(x(a)). a**2 Let a(k) = 2*k**2. Let o(t) = 928*t**2. Give o(a(f)). 3712*f**4 Let n(a) = 2*a**2. Let p(x) = -11*x**2 + 30. What is n(p(h))? 242*h**4 - 1320*h**2 + 1800 Let o(k) = k + 3. Let x(m) be the third derivative of m**3/3 + 3*m**2. Let g(j) = -2*o(j) + 3*x(j). Let b(d) = -d. Calculate g(b(a)). 2*a Let j(s) = -2*s - 237. Let t(m) = m. What is j(t(x))? -2*x - 237 Let k(n) = -2*n. Let b be 35/25 - (-6)/10. Let u(y) = 2*y**2 - b*y + 2*y. Give u(k(a)). 8*a**2 Let o = -5 - -7. Let d(i) = -i**3 - 8*i**2 + 8*i - 6. Let b be d(-9). Let p(k) = 2*k**o + b*k**2 - 4*k**2. Let n(u) = -u. Calculate n(p(l)). -l**2 Let y(x) = 321 - 6*x**2 - 321. Let b(m) = -2*m. Determine b(y(d)). 12*d**2 Let a(t) = t. Let w(q) = -2*q**2 + 300. Determine a(w(n)). -2*n**2 + 300 Let n be (6/8)/(3/12). Let a(z) = -z - 2*z + 5*z - n*z. Let t(v) = -6*v**2. Determine t(a(m)). -6*m**2 Let i(w) = -9*w - 11. Let v(g) = 5*g + 6. Let m(p) = 6*i(p) + 11*v(p). Let a(d) = -8*d**2 + 7. Let l(y) = -7*y**2 + 6. Let n(b) = 6*a(b) - 7*l(b). Give n(m(t)). t**2 Suppose 119 = 3*q + 4*m, 4*q + 0*q - 4*m = 140. Let o(d) = -2*d**2 - 37*d + q*d. Let i(p) = -3*p + 2*p**2 + 3*p. Give o(i(l)). -8*l**4 Let g(q) = -6*q**2. Let c(m) = -25*m + 1. Determine c(g(z)). 150*z**2 + 1 Let l(n) = 6*n**2. Let d(t) = -59*t**2. What is d(l(h))? -2124*h**4 Let l(r) be the second derivative of r**3/2 - r. Suppose 4*x + 0*x - 16 = -4*m, 4*m - 6 = x. Let t(n) = -3*n + 3*n + 0*n + 2*n**m. Calculate l(t(k)). 6*k**2 Let w(z) = 17*z - 6. Let h(y) = 22*y**2. Calculate h(w(k)). 6358*k**2 - 4488*k + 792 Suppose 3*h - 2*r + 29 = 6, 5*h = -5*r - 5. Let v = h - -7. Let f(k) = 2*k**2 - 3*k**v - 4*k**2 + 4*k**2. Let p(a) = -a**2. Determine p(f(q)). -q**4 Let n(o) = -7*o**2. Let z(r) = 3*r**2. Let w(u) = 2*n(u) + 5*z(u). Let s(l) = -2 + 2 + 2*l. What is s(w(p))? 2*p**2 Let k(z) = -28*z**2 - 24*z**2 + 57*z**2. Let p(r) = 10*r. Calculate k(p(j)). 500*j**2 Let z(s) = -3*s**2. Let c(g) be the third derivative of g**4/24 + g**3/6 - 2*g**2. Let j(f) = 3*f + 4. Let u(w) = 4*c(w) - j(w). Determine z(u(m)). -3*m**2 Let f(z) = -5*z - 28. Let u(x) = 3*x**2. What is u(f(g))? 75*g**2 + 840*g + 2352 Let m(h) = -4*h. Let t(w) = -84*w**2 + 98*w - 49. Let d(f) = -7*f**2 + 8*f - 4. Let x(p) = -49*d(p) + 4*t(p). What is m(x(v))? -28*v**2 Let j(i) be the first derivative of -41*i**2/2 - 22. Let a(l) = l**2. What is j(a(k))? -41*k**2 Let o(q) = -4*q**2 + 10*q**2 - 7*q**2. Let y(w) = -2*w**2 + 0*w + 0*w. Calculate o(y(j)). -4*j**4 Let k(i) = 6*i. Let x(z) = 2293*z**2. Give k(x(g)). 13758*g**2 Let t(u) = 0*u - 3*u + 2*u. Suppose -33 - 37 = -5*g. Let n(i) = 22*i - g*i - 13*i. Calculate t(n(q)). 5*q Let r be 2/9 + 48/27. Let p(y) = 2 - y - r. Let i(f) = -f**2 + 7*f + 7. Let d(m) = -m**2 + 6*m + 6. Let s(x) = 7*d(x) - 6*i(x). Give s(p(t)). -t**2 Let z(x) = -2*x + 3*x - 5*x + x. Let p(y) = 2*y**2. Give p(z(j)). 18*j**2 Suppose -4*v + 55 = v. Let q(g) = -v + 8 + 3 - g**2. Let u(s) = -4*s. What is u(q(l))? 4*l**2 Let r(s) = 2*s**2. Let h(k) = 4*k**2. Determine r(h(q)). 32*q**4 Let x(r) = -6*r**2 + 49*r. Let i(z) = -z**2. Give x(i(b)). -6*b**4 - 49*b**2 Let y(j) = j. Let i(g) = 2*g**2 - 370*g + 370*g. Give y(i(q)). 2*q**2 Let q(w) = -2*w**2. Let m(i) = -4*i**2. What is m(q(u))? -16*u**4 Let k(a) be the first derivative of -a**2/2 + 42. Let v(g) = 0*g**2 - 5*g**2 + 4*g**2. Give k(v(n)). n**2 Let g(h) = -45*h. Let y(i) = 2*i. Let z(a) = -11*a. Let k(b) = -10*y(b) - 2*z(b). Determine g(k(n)). -90*n Let k(b) = 47*b**2. Let w(d) = 25*d**2. What is k(w(j))? 29375*j**4 Let b(v) = -v**2 + 3*v**2 - 4*v**2. Let n(h) = -6*h. What is b(n(j))? -72*j**2 Let y(r) = 0 - 2 - 2*r - 3. Let i(n) = -1. Let m(d) = -5*i(d) + y(d). Let l(h) = 5*h. Calculate l(m(w)). -10*w Let f(d) = -153*d**2. Let g(j) = -7*j**2. Determine f(g(z)). -7497*z**4 Let y(i) = -5*i. Let n(b) = -1. Suppose 2*a = 0, -a - 8 = 2*g - 2. Let x(r) = -r + 3. Let v(p) = g*n(p) - x(p). Calculate y(v(k)). -5*k Let l(h) be the third derivative of -h**4/12 - 33*h**2. Let d(s) = 19*s. Calculate d(l(x)). -38*x Let c(y) be the second derivative of y**4/2 - 46*y. Let l(x) = 6*x**2. Give l(c(z)). 216*z**4 Let u(r) = 1884 + 4*r - 1884. Let j(g) = 6*g. Determine u(j(y)). 24*y Let k(i) = -519*i + 1. Let l(s) = s. Determine k(l(n)). -519*n + 1 Let z(q) = -2*q. Let n(u) be the first derivative of u**5/24 - 2*u**3 - 6. Let j(b) be the third derivative of n(b). Determine z(j(k)). -10*k Let z(k) = -12*k**2 - 1. Let s(a) = -8*a. What is z(s(v))? -768*v**2 - 1 Let u(l) = l**2 + 4*l + 2. Let s(k) = 2*k + 1. Let g(r) = -2*s(r) + u(r). Let h(f) = -4*f**2. Calculate h(g(z)). -4*z**4 Let c(s) = s**2. Let f(j) = 795*j**2. Give f(c(d)). 795*d**4 Let m(z) = -4*z**2. Let o(u) = u**3 - u**2 - 5*u + 2. Let y be o(3). Let t(i) = -2*i + 5*i - y*i + i. Calculate t(m(v)). 4*v**2 Let k(m) = -260*m**2. Let w(o) = 2*o. Determine k(w(i)). -1040*i**2 Let h(f) = 7*f - 23 + 7*f + 23. Let g(y) = 3*y. Let w(a) = a. Let q(r) = -2*g(r) + 5*w(r). What is h(q(t))? -14*t Let d(j) = -6*j**2. Let t(l) = 4*l + 3. Determine t(d(w)). -24*w**2 + 3 Let w(v) = -5*v**2. Let s(n) = 11*n - 17. Let c = 17 + -23. Let g(a) = 4*a - 6. Let j(z) = c*s(z) + 17*g(z). Determine w(j(o)). -20*o**2 Let b(n) = -8*n**2 + 10*n - 10. Let u(p) = p**2 - p + 1. Let i(w) = -2*b(w) - 20*u(w). Let l(s) = -3*s. Let q(j) = -j. Let d(h) = -l(h) + q(h). Give i(d(v)). -16*v**2 Let c(i) = -2*i**2. Let l(t) = -486*t**2. What is c(l(p))? -472392*p**4 Let v(m) = 21*m. Let j(l) = -680*l**2. Give v(j(p)). -14280*p**2 Let u(d) = -2*d - 516. Let m(q) = -q**2. What is u(m(w))? 2*w**2 - 516 Let g(u) = -1. Suppose 0 = -4*w - 6 - 6. Let f(k) = -k + 3. Let n(q) = w*g(q) - f(q). Let s(i) = -2*i. Determine n(s(y)). -2*y Let x(r) = 2*r. Let o(c) = -4*c - 3. Let h(s) = s**2 + 3*s + 2. Let w(g) = 4*h(g) + 3*o(g). Let j(k) be the first derivative of w(k). Calculate x(j(p)). 16*p Let u = -14 + 30. Suppose 2*j + 6 = u. Let k(v) = -6*v + 0*v + j*v. Let n(m) = 4*m. Determine n(k(q)). -4*q Let q(w) = -w. Let z(o) = 186*o. Calculate z(q(d)). -186*d Let l(y) = y**2. Let q(d) be the first derivative of 35*d**2/2 + 5. What is q(l(b))? 35*b**2 Let j(n) = -4*n**2. Let u be (1/12)/(10 - 9). Let g(s) be the third derivative of u*s**4 + 0*s**3 + 2*s**2 + 0 + 0*s. Determine g(j(t)). -8*t**2 Let r(k) = 2*k**2. Let n(u) = u**2. Let y(w) = -6*n(w) + 2*r(w). Let c(h) be t
{ "pile_set_name": "DM Mathematics" }
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-63879 What is next in -957, -2148, -4003, -6858, -11049? -16912 What comes next: 5777, 11646, 17605, 23654, 29793, 36022, 42341? 48750 What comes next: 258265, 513221, 768177? 1023133 What is the next term in 719092, 719078, 719064, 719050? 719036 What is the next term in 166153391, 166153389, 166153387, 166153385, 166153383, 166153381? 166153379 What is the next term in -52950279, -52950276, -52950273, -52950270, -52950267, -52950264? -52950261 What comes next: -10397, -20688, -30985, -41288, -51597, -61912, -72233? -82560 What comes next: -1641, -3226, -4757, -6234, -7657? -9026 What is the next term in 3181, 6093, 9001, 11905, 14805? 17701 What is next in -2761199, -22089560, -74552251, -176716436, -345149279, -596417944, -947089595? -1413731396 What is next in -14191240, -28382479, -42573718, -56764957, -70956196, -85147435? -99338674 What is next in 8479, 8656, 8971, 9436, 10063? 10864 What is next in -3632, -6467, -9300, -12131, -14960, -17787, -20612? -2
{ "pile_set_name": "DM Mathematics" }
et f be ((-4)/(8/3))/(9/(-210)). Suppose 4160 = -22*w + f*w. List the prime factors of w. 2, 5 What are the prime factors of (3 - (1 + 3))/((-51)/142035)? 5, 557 Suppose -5*c = 2*b + 3059, -4*b + 63 = c + 664. Let g = 1023 + c. List the prime factors of g. 2, 5, 41 Let l = 95 + -95. Suppose l = 105*u - 108*u + 2715. Suppose 3*m - 618 = -2*b, m = 3*b - 0*m - u. What are the prime factors of b? 3, 101 Suppose 2*g + 9*i - 12*i = 84915, 3*i - 212235 = -5*g. What are the prime factors of g? 2, 3, 5, 283 List the prime factors of ((-29)/65 - (-21)/35) + (-2959598)/(-221). 2, 3, 31 Let u(f) = f + 6. Let b be u(19). Suppose 0 = 26*s - b*s + 6. What are the prime factors of s*(-4 - (-228)/(-9))? 2, 11 Let m(u) = -8*u - 11. Let w be m(-4). Let f(s) = s + 7*s + 0*s - w + 14. List the prime factors of f(4). 5 Let l be 6/(4*1/6). Suppose l*j + 1605 = 14*j. Let g = -139 + j. What are the prime factors of g? 2, 7, 13 Let a = 20 - 4. Suppose -a*r = -23*r + 21. Suppose -7*k + 284 = -r*k. List the prime factors of k. 71 Let h be (-190)/6 + (-1)/3. Suppose 0 = -14*g - 119 + 1169. Let b = g + h. List the prime factors of b. 43 Let g(x) = x**2 + 2*x - 6. Let t be g(-4). Suppose -2*m + 1357 = 5*q, -798 = -2*m - t*q + 568. Suppose 0*p = -7*p + m. What are the prime factors of p? 2, 7 Suppose x - 5*i + 30 = 94, 3*x = -3*i + 102. Let z = -37 + x. List the prime factors of (516/24)/(1/z). 43 Suppose 190*n = 1709847 + 349563. What are the prime factors of n? 3, 3613 List the prime factors of (-62)/(-2)*(-1648)/(12 - 28). 31, 103 Let q(f) = 12129*f**2 - 12*f + 5. List the prime factors of q(1). 2, 11, 19, 29 Suppose 5*f = -30*f + 385. Suppose -f*v + 45 + 1066 = 0. List the prime factors of v. 101 Let v(y) = y**2 + y + 29. Let x be v(0). Suppose d - 2*h + 17 = 0, 5*d + 2*h + x = -20. Let m = d - -121. What are the prime factors of m? 2, 5, 11 Suppose -18*i - 109 - 107 = 0. List the prime factors of (-3)/12 - (-3 + 10995/i). 919 What are the prime factors of (-21529 + (0 - (2 - 4)))*(7 + -8)? 11, 19, 103 Suppose 7*m - 8599 = -2*v, 3*v - 2*m = 5*v - 8624. List the prime factors of v. 3, 1439 Suppose 4*q - 33195 = -2*f - 2807, -2*f + q = -30393. What are the prime factors of f? 2, 29, 131 Suppose 16 = 2*g - 4*o, -4*o - 17 = -5. Let b be 122/g*(-4 + 5). Let x = 70 - b. List the prime factors of x. 3 Let r = -181 - 102. Let n = r - -521. List the prime factors of n. 2, 7, 17 Suppose -k - 662*r = -660*r - 20514, 0 = 3*k + r - 61582. What are the prime factors of k? 2, 5, 2053 Let m(d) = -86*d - 91. Suppose 2*t - 2*v - 2*v = -32, 4*v = -2*t + 8. What are the prime factors of m(t)? 5, 17 Let c(t) = 4*t + 4. Let h be c(0). Suppose h*j = -2*j + 6. What are the prime factors of (-8 + 5 + j/(-2))*-26? 7, 13 Let g = 31360 + 17344. What are the prime factors of g? 2, 761 Suppose 3*p = -a - 3, 6*a = a + 5*p + 45. What are the prime factors of (-8)/a + (-7008)/(-18)? 2, 97 Let y(j) = j**3 + 4*j**2 + 5*j + 5. Let a be y(-2). Let d be (2 - a*67)*(-14)/7. Let l = d + -252. What are the prime factors of l? 2, 73 List the prime factors of (-2)/(6/15370*(-6 + (-112)/(-21))). 5, 29, 53 Let h(p) = 2009*p - 167. What are the prime factors of h(4)? 3, 43, 61 Let d = 164689 - 73437. List the prime factors of d. 2, 7, 3259 Suppose 3*o + 1497 - 28782 = 0. What are the prime factors of o? 5, 17, 107 Suppose -87*p = -86*p - 637. Suppose -6699 = -7*x - p. List the prime factors of x. 2, 433 Let u be (4/10)/(6/90). Let t(s) = -10*s**3 + s**2 + s - 2. Let m be t(-2). What are the prime factors of (90/24)/(u/m)? 2, 5 Suppose -2*u - 5*x + 276 = -1964, 0 = u + x - 1114. List the prime factors of u. 2, 3, 5, 37 Let h(y) = 4*y**3 - 17*y**2 - 21*y - 111. What are the prime factors of h(9)? 3, 7, 59 Suppose 0 = n - 3*g + 6, 0 = -5*n + 3*g + 6. Suppose 4*v - 5*q - 877 = 16, n = -3*q. List the prime factors of v. 2, 3, 37 Let g(a) = -5*a**3 - 22*a**2 - 73*a - 1070. What are the prime factors of g(-22)? 2, 3, 599 Let f(c) = 381*c**2 - 583*c - 3476. List the prime factors of f(-6). 2, 6869 Let k be ((-175)/(-15))/(-5)*(-3)/1. Suppose 2*d - 2*n = 499 + k, 5*d - n - 1285 = 0. Let a = d + -150. List the prime factors of a. 2, 3 Suppose 2*y - 7*y = -1210. Suppose -1692 = -4*x + 4*f, 0 = -x + 3*f - 112 + 545. Let s = x - y. List the prime factors of s. 2, 11 Let g(m) = 6*m**3 + 21*m**2 - 9*m + 47. Let l(v) = 7*v**3 + 21*v**2 - 9*v + 49. Let h(w) = 6*g(w) - 5*l(w). List the prime factors of h(-21). 2, 113 Let c(h) = -82*h + 9621. List the prime factors of c(-52). 5, 2777 Let x = 557 + -597. Let n = x - -382. List the prime factors of n. 2, 3, 19 Let d = -13179 - -21021. What are the prime factors of d? 2, 3, 1307 Let z = 31891 - 17565. List the prime factors of z. 2, 13, 19, 29 What are the prime factors of -25*(-6)/(-30) - -2145? 2, 5, 107 List the prime factors of (-23)/(276/(-955584)) - (-3 - -11). 2, 37, 269 Let i(n) = n**3 + n**2 - 3*n - 5. Let g be i(-4). Suppose 6*w - 5*d + 76 = 7*w, w + 4*d = 76. Let p = w + g. What are the prime factors of p? 5, 7 List the prime factors of (-29114 + -148)*((-10)/12)/5. 4877 Let n = 461 + -639. Let v = n - -1284. List the prime factors of v. 2, 7, 79 Suppose 0 = 3*n + n + 4*q, 2*n - 3*q - 10 = 0. Suppose n*w - 559 = 3*b, 0 = 2*w - 4*b - 501 - 61. List the prime factors of w. 5, 11 Let h = -65 - -91. Suppose m = h + 39. Suppose -4*d = -m - 47. What are the prime factors of d? 2, 7 Suppose 25*k - 60 + 10 = 0. Suppose 10*p - 458 = -k*q + 14*p, 3*p + 6 = 0. List the prime factors of q. 3, 5 List the prime factors of 7 + 63/(-28)*2*2 + 12849. 29, 443 Let v = -55174 - -90597. List the prime factors of v. 35423 Let i = -125 - -138. Let k(t) = 47*t + 12. What are the prime factors of k(i)? 7, 89 Let y = 231 - 237. What are the prime factors of 2830/(-15)*(33/y - -4)? 283 Suppose 37*g - 304424 + 30312 = 124822. What are the prime factors of g? 2, 3, 599 Let m(o) = -25740*o**3 - 2*o**2 + 14*o + 15. List the prime factors of m(-1). 7, 3677 Let l(j) = 2*j**3 - 30*j**2 - 11*j + 9. What are the prime factors of l(21)? 2, 3, 5, 13 Let w(u) = 3461*u**2 + 16*u + 43. What are the prime factors of w(-3)? 2, 17, 229 Let a = 4870 + -402. Suppose 4*n - 5*b - 6169 + 1699 = 0, 4*n - a = 4*b. List the prime factors of n. 5, 223 Suppose 3*m - 15 = -0*m. Let j(i) = 27*i**2 - 8*i - 12. Let g be j(m). Let n = g + -355. What are the prime factors of n? 2, 67 Let v = 42919 + -28934. List the prime factors of v. 5, 2797 Let b be 40/6 + 9/27. Let t(q) = q**3 - 2*q**2 - 4*q + 35. List the prime factors of t(b). 2, 3, 7 Let c(w) = -3*w - 11. Let q be c(19). Let i = 109 - 36. Let v = i - q. What are the prime factors of v? 3, 47 Let z(k) = -104*k + 44. Let l be z(-3). Let d = -268 + l. List the prime factors of d. 2, 11 Let f(x) = 2*x**2 + 4*x - 18. Let s be f(-7). Let l = s + -118. Let p = -54 - l. List the prime factors of p. 2, 3 Let d(m) = 8*m - 187. Let h be d(24). Suppose -2081 = -h*y + 254. What are the prime factors of y? 467 Suppose -51*z = -48*z - 3, 5*n = 4*z + 3101. What are the prime factors of n? 3, 23 Let n be (-2 - -3 - -1)*8. Suppose -3*p + n = -8. Suppose p*y - 5*y + 632 = 5*f, f + 5*y = 132. List the prime factors of f. 127 Suppose -27*u + 22*u - 25 = 0. Let i be ((-6)/u)/(3/(-10)). List the prime factors of 559/195 + i/(-30). 3 Let f(b) = -b**2 - 156*b + 55. List the prime factors of f(-74). 3, 13, 157 Suppose -3990*p = -3978*p - 64056. What are the prime factors of p? 2, 17, 157 Let a(d) = -d**3 - 17*d**2 - 18*d - 18. Let b be (-5)/(20/12) - 13. Let t be a(b). List the prime factors of 2/4 + 1617/t. 2, 29 What are the prime factors of (486/10)/((-194)/(-64990))? 3, 67 Let h = -717 + 380. Let j = 349 + h. List the prime factors of j. 2, 3 What are the prime factors of 16*(-8)/((-448)/41146)? 2, 2939 Suppose 2*i = -2*i. Let c be (-2 - (-362)/4) + (-18)/36. Suppose -k - c = -g - 2*k, i = -4*g + 4*k + 360. What are the prime factors of g? 89 Suppose -63*i = -81*i + 797778. What are the prime factors of i? 23, 41, 47 Let z = -11677 - -30861. List the prime factors of z. 2, 11, 109 Let p = 410 - 174. Suppose -p = -12*q + 1252. Suppose 0 = -o - 3*v + q, 2*o = 5*v + 114 + 156. List the prime factors of o. 2, 5, 13 Suppose 2*c - w - 24903 = 0, c - 3*w = -1885 + 14324. What are the prime factors of c
{ "pile_set_name": "DM Mathematics" }
/2. 2 Calculate the lowest common multiple of 40 and 50. 200 What is the common denominator of -97/330 and 139/12? 660 Calculate the lowest common multiple of 354 and 16. 2832 What is the smallest common multiple of 1240 and 120? 3720 Calculate the common denominator of -67/4 and 113/28. 28 Find the common denominator of -77/2718 and -83/4. 5436 Calculate the lowest common multiple of 250 and 25. 250 Calculate the lowest common multiple of 246 and 600. 24600 Calculate the least common multiple of 372 and 248. 744 What is the smallest common multiple of 36 and 3438? 6876 Find the common denominator of -38/737 and 16/737. 737 What is the common denominator of -9/4 and -2/1343? 5372 Calculate the least common multiple of 8 and 11. 88 What is the common denominator of -47/11 and 73/735? 8085 What is the smallest common multiple of 75 and 720? 3600 Calculate the common denominator of -3/3941 and 17/5. 19705 What is the least common multiple of 6 and 1230? 1230 Calculate the lowest common multiple of 583 and 689. 7579 What is the least common multiple of 832 and 2? 832 Calculate the lowest common multiple of 12 and 240. 240 Calculate the least common multiple of 18 and 1252. 11268 What is the lowest common multiple of 354 and 118? 354 Calculate the smallest common multiple of 132 and 7. 924 What is the least common multiple of 468 and 1053? 4212 Calculate the common denominator of 125/24 and 47/66. 264 Calculate the smallest common multiple of 25 and 225. 225 What is the smallest common multiple of 18 and 135? 270 Calculate the least common multiple of 6 and 49. 294 Calculate the common denominator of 101/216 and -87/56. 1512 What is the lowest common multiple of 450 and 18? 450 Calculate the common denominator of 139/48 and -149/18. 144 Calculate the least common multiple of 18 and 16. 144 Calculate the lowest common multiple of 1332 and 1776. 5328 What is the smallest common multiple of 64 and 112? 448 Calculate the smallest common multiple of 2457 and 4641. 41769 What is the lowest common multiple of 9060 and 1140? 172140 Calculate the smallest common multiple of 10 and 166. 830 Calculate the common denominator of -37/228 and 26/3. 228 Calculate the common denominator of 71/4 and 31/50. 100 What is the smallest common multiple of 52 and 202? 5252 Calculate the lowest common multiple of 25 and 67. 1675 What is the smallest common multiple of 24 and 1052? 6312 What is the common denominator of -57/28 and -73/402? 5628 Find the common denominator of 2/5 and 11/65. 65 What is the common denominator of 67/48 and 151/102? 816 Find the common denominator of 13/555 and -79/90. 3330 What is the least common multiple of 21 and 8? 168 Calculate the common denominator of -79/80 and 11/8. 80 Find the common denominator of -37/390 and 54/455. 2730 Calculate the smallest common multiple of 36 and 12. 36 Find the common denominator of 63/4 and -91/618. 1236 What is the common denominator of 6/7 and 32/7? 7 Find the common denominator of 13/81 and -62/9. 81 Find the common denominator of 83/224 and -33/4. 224 Calculate the lowest common multiple of 675 and 90. 1350 Calculate the least common multiple of 574 and 82. 574 Calculate the lowest common multiple of 4 and 44. 44 What is the smallest common multiple of 18 and 123? 738 What is the smallest common multiple of 216 and 84? 1512 Calculate the smallest common multiple of 80 and 40. 80 What is the least common multiple of 1899 and 844? 7596 What is the smallest common multiple of 8 and 1559? 12472 Calculate the lowest common multiple of 830 and 20. 1660 Calculate the common denominator of 44/3 and -47/9738. 9738 What is the least common multiple of 576 and 1044? 16704 Calculate the lowest common multiple of 130 and 39. 390 Calculate the least common multiple of 130 and 15. 390 Calculate the lowest common multiple of 350 and 10. 350 What is the smallest common multiple of 33 and 564? 6204 What is the least common multiple of 680 and 272? 1360 Find the common denominator of 49/625 and -41/375. 1875 What is the lowest common multiple of 120 and 120? 120 Calculate the common denominator of -163/210 and -109/70. 210 Calculate the least common multiple of 440 and 2840. 31240 What is the smallest common multiple of 32 and 1270? 20320 Find the common denominator of 109/40 and 3/715. 5720 Calculate the least common multiple of 3444 and 738. 10332 Find the common denominator of -133/170 and -23/510. 510 Find the common denominator of -109/44 and 89/8. 88 Find the common denominator of 63/20 and 89/8. 40 Find the common denominator of 52/1335 and 71/178. 2670 Calculate the least common multiple of 56 and 147. 1176 Calculate the common denominator of -97/12 and -181/180. 180 Calculate the common denominator of -31/3 and -101/514. 1542 What is the lowest common multiple of 1550 and 248? 6200 What is the smallest common multiple of 1243 and 339? 3729 Calculate the common denominator of 58/4115 and 77/2. 8230 What is the lowest common multiple of 6474 and 78? 6474 What is the smallest common multiple of 990 and 324? 17820 Calculate the smallest common multiple of 594 and 270. 2970 What is the lowest common multiple of 171 and 2565? 2565 What is the common denominator of -73/8350 and 19/14? 58450 Calculate the smallest common multiple of 192 and 48. 192 What is the lowest common multiple of 90 and 24? 360 What is the common denominator of -73/390 and -123/650? 1950 Calculate the common denominator of -13 and 49/6. 6 Calculate the lowest common multiple of 27 and 90. 270 What is the lowest common multiple of 200 and 2? 200 What is the common denominator of -21/10 and -62/453? 4530 What is the lowest common multiple of 14 and 316? 2212 Calculate the lowest common multiple of 406 and 232. 1624 What is the lowest common multiple of 82 and 690? 28290 Calculate the smallest common multiple of 100 and 80. 400 Find the common denominator of 19/11 and 50. 11 Calculate the smallest common multiple of 18 and 156. 468 Find the common denominator of 21/8 and -73/382. 1528 What is the common denominator of 7/22 and 26/7? 154 Find the common denominator of 107/3000 and 131/1800. 9000 What is the common denominator of 7/4948 and 85/4? 4948 Calculate the least common multiple of 57 and 95. 285 Find the common denominator of 35/338 and -59/234. 3042 Calculate the smallest common multiple of 10 and 371. 3710 Calculate the least common multiple of 6 and 282. 282 What is the least common multiple of 255 and 2295? 2295 What is the least common multiple of 2488 and 1866? 7464 Find the common denominator of 49/85 and 64/35. 595 What is the least common multiple of 30 and 399? 3990 What is the smallest common multiple of 25 and 45? 225 Find the common denominator of 63/1202 and 52/9. 10818 Calculate the least common multiple of 84 and 219. 6132 Calculate the least common multiple of 70 and 20. 140 What is the common denominator of -25/99 and -76/99? 99 What is the least common multiple of 1260 and 60? 1260 Find the common denominator of -109/12650 and 133/132. 75900 Calculate the lowest common multiple of 1464 and 14. 10248 Calculate the lowest common multiple of 147 and 21. 147 Calculate the common denominator of 89/10890 and 61/27. 32670 Calculate the common denominator of 41/12 and 9/124. 372 Calculate the least common multiple of 354 and 12. 708 Calculate the lowest common multiple of 3600 and 7200. 7200 Calculate the least common multiple of 26 and 52. 52 Calculate the common denominator of -25/2366 and 19/182. 2366 What is the lowest common multiple of 798 and 12? 1596 Calculate the common denominator of 77/186 and -4/5. 930 Find the common denominator of -71/572 and 3/1430. 2860 Calculate the smallest common multiple of 606 and 27. 5454 What is the common denominator of 43/93 and 17/30? 930 Calculate the least common multiple of 33 and 2103. 23133 What is the lowest common multiple of 24 and 684? 1368 Calculate the least common multiple of 2766 and 8. 11064 What is the lowest common multiple of 132 and 33? 132 Find the common denominator of -31/924 and -155/84. 924 What is the least common multiple of 6 and 620? 1860 Calculate the common denominator of 53/213 and -65/12. 852 Calculate the common denominator of 163/126 and 83/63. 126 What is
{ "pile_set_name": "DM Mathematics" }
, 5? 0.4280328 Which is the smallest value? (a) 2/3 (b) 0.14886 (c) 49 (d) -3 d What is the smallest value in 3, -14, -0.0795939? -14 What is the fourth biggest value in 471407, 1/7, 0.3, 0, -1, 2/19? 2/19 Which is the fifth smallest value? (a) -1/2 (b) 30 (c) 4/11 (d) -8 (e) 134 (f) 2/5 b What is the fourth smallest value in 1, -944/63, -51/7, 15? 15 What is the smallest value in 3126/211, 2, -0.76, 3/2, -5, -4? -5 Which is the third smallest value? (a) -12 (b) -5 (c) 190 (d) 262 (e) -1/5 e What is the second biggest value in 1/24, -3/10, 0.5, 4/5, -4, 7? 4/5 What is the smallest value in 2/11, 0, -7.001, 0.3, 32, 0.2, -5/6? -7.001 What is the sixth biggest value in 4/7, -0.04, 1, 2, 603, -3? -3 What is the biggest value in -186.62, -6/7, -2? -6/7 Which is the sixth smallest value? (a) -6 (b) -233 (c) 1/2 (d) 0.2 (e) -289 (f) -1/4 c Which is the second biggest value? (a) 186 (b) 1/2 (c) -0.4 (d) -4 (e) 1240 (f) -0.7 (g) -3 a Which is the second smallest value? (a) 1/5 (b) -894208/5 (c) -2/5 c Which is the third smallest value? (a) -0.2 (b) -0.49 (c) 2 (d) 5 (e) -12480 a Which is the smallest value? (a) -521.64 (b) 222 (c) -3 a Which is the second smallest value? (a) -3 (b) -0.4 (c) 11/2 (d) -9938 a Which is the third biggest value? (a) -10/179 (b) -0.2 (c) -4/7 (d) -10629 c Which is the second smallest value? (a) -122182 (b) -9 (c) 2 b What is the fifth biggest value in -0.3293, 0.2, 13, 26.4, 3/4, -0.1, 5? 0.2 What is the third biggest value in -5, -3, -0.02, -0.3, -1/4, -226? -0.3 What is the second smallest value in 20.5, -1/4, 621? 20.5 What is the fourth biggest value in -3, 20, 18, -0.3, -276? -3 Which is the third smallest value? (a) 1472.9 (b) 2/5 (c) 7 a What is the fourth biggest value in -0.2, -5/3, -148/7, 0.22? -148/7 What is the smallest value in -23, 1/6, -0.25273, 0.59? -23 Which is the fourth smallest value? (a) 260/11 (b) 0.2 (c) 18860 (d) -0.5 c Which is the seventh biggest value? (a) 0.1 (b) -5 (c) 22 (d) 3 (e) -6/23 (f) 3/5 (g) -1 b Which is the biggest value? (a) -5 (b) -1/3 (c) 1349/14 (d) -1 c Which is the fifth biggest value? (a) 0 (b) 12 (c) 3/2 (d) -3.4 (e) 0.3 (f) 16 (g) -3 a What is the fifth smallest value in -2/33, -0.04, 0.5, -1.806, -0.19, -1? -0.04 What is the fourth biggest value in -2069, 2/11, 3/2, 1.2, -0.1, -0.3? -0.1 Which is the smallest value? (a) 1/4 (b) 90 (c) -22494 (d) 0.5 c What is the second biggest value in -3.4, 36, -1, 0.2, -31, 10? 10 What is the third biggest value in -0.5, 98193, 16.3, 8? 8 Which is the smallest value? (a) 8811 (b) -2/179 (c) -0.6 c What is the third smallest value in -2/116835, -4, -5? -2/116835 What is the third biggest value in -2609794, 5, -2? -2609794 What is the third smallest value in 0.02, 0.19, 85/4, 0.4, -0.2, 0, 1? 0.02 What is the fourth smallest value in 0.5, 4, 891, -3? 891 Which is the third biggest value? (a) 0.03 (b) -109/23 (c) 0 (d) 4/35 c What is the second smallest value in -11.4, -4/7, 12.4, 0, -0.1, -3? -3 Which is the fourth smallest value? (a) 3/8 (b) -26 (c) -345 (d) 2/19 (e) -113 d What is the third smallest value in -2, -8, 0.6, 5, 0.039? 0.039 Which is the second smallest value? (a) -0.108 (b) 3/4 (c) -2 (d) -16 (e) 345 c Which is the fifth smallest value? (a) 16 (b) 2 (c) 2/17 (d) -4 (e) 4 (f) -1/52 (g) -1.08 b What is the second biggest value in -0.05, 2/5, -2/3, 6032663? 2/5 What is the third biggest value in 0.1, 12596, -3/44? -3/44 Which is the second smallest value? (a) -3/34 (b) 6 (c) 1 (d) -4/15 (e) -1/4 (f) -4 (g) 4 d Which is the third biggest value? (a) 4425 (b) -8 (c) 14/27 b Which is the fifth smallest value? (a) 2/5 (b) 5.2 (c) -0.5 (d) 5 (e) 1537 (f) -3 b Which is the sixth smallest value? (a) 2 (b) 0.094 (c) 1 (d) 3/4 (e) 0.5 (f) -1/4 a Which is the smallest value? (a) -1/8 (b) -0.5 (c) 4 (d) -0.186 (e) -2/187 b What is the second smallest value in 3/4, 20/11, -1/3160, 5, 0.4? 0.4 What is the fourth smallest value in 0.4, -1.93, -2, -9682, 10? 0.4 What is the fourth biggest value in -1/7, 3, 249, -0.86, -9, -2/9, 2/11? -1/7 What is the smallest value in -6/11, -76, 2/5, -16, -4, -10? -76 What is the second smallest value in -0.0191, 0.4, -3/725? -3/725 Which is the smallest value? (a) 2885 (b) 1/51 (c) 2/45 (d) -0.4 d Which is the third biggest value? (a) -25 (b) -51 (c) -265 (d) -5/4 (e) -2 a What is the fifth smallest value in 0.5, -1/8, -116/265, 1, -4? 1 Which is the fifth biggest value? (a) 5096/3 (b) 0 (c) -3/8 (d) -0.2 (e) 0.3 c Which is the fourth smallest value? (a) -3/4 (b) 0 (c) -2230743 (d) -2/263 b Which is the biggest value? (a) 22.72 (b) -3 (c) -0.5 (d) -0.4 (e) 0.1 (f) -0.2 (g) 0 a Which is the second biggest value? (a) 2/6735 (b) 326 (c) -4 a Which is the second smallest value? (a) 6 (b) 128/15 (c) -0.0488 a What is the smallest value in 2/19, 1.4, -13/2, 1/35, -1/8, -0.55? -13/2 Which is the fifth smallest value? (a) -5 (b) -7 (c) -30 (d) 144/13 (e) -13 d What is the fourth biggest value in 0.084, 12, -0.4, -1, 1/9, -2/7, -0.5? -2/7 Which is the fourth biggest value? (a) -3/4 (b) 1/6 (c) -3690 (d) -5 (e) 5/4 (f) -2 f Which is the fourth smallest value? (a) 3/110 (b) -4 (c) 5 (d) 28/5 (e) 0 (f) 2 (g) 1 g What is the second biggest value in 1.4, -49/13, 6, 0.16, -2? 1.4 What is the second smallest value in -3, -0.4, -0.1, -2/19, 0, 2043? -0.4 Which is the smallest value? (a) 3172 (b) 82 (c) -0.018 c Which is the second biggest value? (a) 0 (b) -0.1 (c) -15177527.1 b What is the smallest value in -4, 122729/4, -49? -49 What is the fifth biggest value in -0.3, -9, 0.3, -4, -1/291772? -9 Which is the third smallest value? (a) -2/1526099 (b) -0.4 (c) -3 (d) 4/5 a What is the second biggest value in 3, -0.1, -1/1703335? -1/1703335 Which is the third biggest value? (a) 2 (b) -2/15 (c) 5 (d) 1/103 (e) 2/8917 d What is the second smallest value in 9, 0.8, -1, 2, -2/7, 2/3, -0.28? -2/7 What is the fourth biggest value in -2918, -6/13, -12/7, 9? -2918 What is the second biggest value in -6, -47, -2/13, -3/2, -2.7, 1/27? -2/13 What is the second smallest value in 740, 2/9, -104.806? 2/9 What is the third smallest value in -9053061, 2, -5? 2 Which is the second biggest value? (a) 0 (b) 9 (c) 1.24 (d) -2/2451 (e) 0.1 (f) -0.5 c What is the third smallest value in 2/9, 3, 4, -2/127, -1.58, 0.8? 2/9 What is the sixth biggest value in -10, 0.002, -5, -743, 5/2, -0.2? -743 Which is the fifth smallest value? (a) -2/7 (b) -4/395 (c) 5 (d) -0.1 (e) 2.5 c Which is the fourth biggest value? (a) 1/5 (b) 41820 (c) -0.2 (d) 8 (e) -2/15 (f) -0.4 (g) -1/21 g What is the biggest value in -0.169, 3, -0.06, 0.08, 2.4, 4, 1? 4 What is the smallest value in -0.1, -72.5, 0.5, 2, 6, -1/7, 0.013? -72.5 Which is the third smallest value? (a) -111 (b) 1/3824 (c) -1/51 (d) -2/9 (e) 0.5 c Which is the fourth smallest value? (a) -29242 (b) -1 (c) 1 (d) 5 (e) 4 (f) -3 (g) 2/29 g What is the biggest value in 3/5, -4432, 5.9, 1/10? 5.9 What is the third biggest value in 0.4, -0.3, -3/2, 12/19, -32378? -0.3 Which is the sixth biggest value? (a) 0.064 (b) -5 (c) 42 (d) -34 (e) 1 (f) 3/4 d Which is the fourth smallest value? (a) 3 (b) 3/2 (c) 4682 (d) -37/3 c What is the fourth biggest value in 1/45, -104624, -3, 3? -104624 Which is the second smallest value? (a) -2/23 (b) 1/1461 (c) -3179 a Which is the fourth smallest value? (a) 0.56 (b) -2/143 (c) -51/10 (d) 0.5 a What is the seventh biggest value in -1/11, -4, 444, -0.1, -0.4, 3, -2/9? -4 Which is the fourth biggest value? (a) -4 (b) 2 (c) -26 (d) 0.033 (e) 1 (f) 3/5 (g) -44 d What is the seventh biggest value in -2, -0.1, -37, 51/7, 16, -4, -1/5? -37 Which is the third smallest value? (a) -1/4 (b) -2 (c) -3665932 a Which is the second biggest value? (a) 2 (b) 3 (c) -2/13 (d) 0.7966544 (e) -0.05 a Which is the second biggest value? (a) 144 (b) 3 (c) -1/5 (d) -1 (e) 5 (f) 0.4 e Which is the second biggest value? (a) -26/5 (b) 277 (c) -6031 a What is the sixth biggest value in 0, -2/3, -8/75, -0.8, -3, 0.022, -28? -3 What is the fifth smalle
{ "pile_set_name": "DM Mathematics" }
230*p**3 - 354*p**2 - 206*p**2. 230*p**3 Collect the terms in 61*n + 5529948 - 2764975 - 2764973. 61*n Collect the terms in 2068 - 2*o**2 - 3968 + 2125. -2*o**2 + 225 Collect the terms in -5*h + 38*h**2 - 68*h**2 + h - 24*h**2 + 4*h. -54*h**2 Collect the terms in -4 - 769833*w**3 + 4. -769833*w**3 Collect the terms in -861*f + 0*f**2 + 0*f**2 + 1039*f**3. 1039*f**3 - 861*f Collect the terms in 5565*j**3 - 5*j - 7911*j**3 + 4*j + j + 3927*j**3. 1581*j**3 Collect the terms in 184*r**2 - 11372719*r + 11372719*r + 146*r**2. 330*r**2 Collect the terms in -231*k**3 + k - 43*k**2 - 24*k**2 - 5*k**2 + 234*k**3. 3*k**3 - 72*k**2 + k Collect the terms in 3872*g**3 + 1118*g**2 - 377*g**2 - 368*g**2 - 373*g**2. 3872*g**3 Collect the terms in -2*h + 11*h - 6*h - h - 44631*h**2 + 167980*h**2. 123349*h**2 + 2*h Collect the terms in 69905 + 527*z - 69905. 527*z Collect the terms in 207736 - u**2 + 2*u**2 - 415618 + 207717. u**2 - 165 Collect the terms in 66303*h**2 - 21*h - 26984*h**2 - 39319*h**2 - 3 + 2*h**3 + 3. 2*h**3 - 21*h Collect the terms in 425490*k - 212689*k + 2*k**2 - 212826*k. 2*k**2 - 25*k Collect the terms in -2939744*s**2 - 104*s**3 + 2939744*s**2. -104*s**3 Collect the terms in -165328003 + 165328003 + 502*h**3. 502*h**3 Collect the terms in 1393*u**2 + 953631 + 953638 - 1907269. 1393*u**2 Collect the terms in -12154*y + 1286*y - 7527*y - 11238*y - 5774*y. -35407*y Collect the terms in -87082223 + 87*r**3 + 231*r**3 + 87082223 + 1096*r**3. 1414*r**3 Collect the terms in -16*h**2 - 4325 + 4325 + 2*h**2 - 14*h**2 + 26*h**2. -2*h**2 Collect the terms in -2*i**3 + i + 816522*i**2 - i**3 - 816625*i**2. -3*i**3 - 103*i**2 + i Collect the terms in 32*b**2 - 3007 - 4198 - 4125 + 2721. 32*b**2 - 8609 Collect the terms in 52*d + 3422 + 3531 - 6954. 52*d - 1 Collect the terms in 12550526 - 9061*r**3 - r - 12550526. -9061*r**3 - r Collect the terms in -56 + 84*g + 51 - 198*g + 817*g. 703*g - 5 Collect the terms in -333185*o - 216 + 333179*o + 369. -6*o + 153 Collect the terms in 24624*k - 411796*k - 199888*k - 2 + 67989*k. -519071*k - 2 Collect the terms in 9302*g - 9484*g**2 + 9268*g - 18570*g. -9484*g**2 Collect the terms in 1626 + r + 1623 + 1612 + 12*r**2 + 1604 - 6442. 12*r**2 + r + 23 Collect the terms in -1508409*v**2 + 3016921*v**2 - 1508421*v**2. 91*v**2 Collect the terms in -36342*k + 11325*k + 11328*k + 13687*k. -2*k Collect the terms in 31*n + 18*n - 1241361 - 46*n + 1241361. 3*n Collect the terms in 5999*h**2 - 24915 + 24915 - 3*h. 5999*h**2 - 3*h Collect the terms in b**2 - 2891*b**3 + 174*b**3 - b**2. -2717*b**3 Collect the terms in 4 - 9057807*o + 269*o**2 + 9057807*o + 0 - 4. 269*o**2 Collect the terms in -326139*k + 250780*k - 186858*k - 330734*k - 1 - 45125*k. -638076*k - 1 Collect the terms in 938*y + 2*y**2 - 2001*y**3 - 4*y**2 + 2*y**2 - 938*y. -2001*y**3 Collect the terms in -954108 + 954108 - 2*h**3 - 23*h**3. -25*h**3 Collect the terms in 7*h - 9*h**3 - 19*h**3 - 1 - 48*h**2 + 1 - 32*h**3. -60*h**3 - 48*h**2 + 7*h Collect the terms in -7*a**3 - 471*a**2 + 151*a**2 + 160*a**2 + 157*a**2. -7*a**3 - 3*a**2 Collect the terms in -5*m**2 + 164*m + 175*m + 176*m + 175*m - 690*m. -5*m**2 Collect the terms in 4769 + 4775 - 6*y + 4771 - 19093 + 26*y + 4778. 20*y Collect the terms in 20*y**3 + 13*y**3 - 11*y**3 + 6*y**3 - 25*y**3. 3*y**3 Collect the terms in 3547*d + 6767*d - 10316*d. -2*d Collect the terms in -3300*x - 3306*x - 41 + 6605*x + 41. -x Collect the terms in 188*v**3 - 25*v**3 - 1232*v**3 + 410*v**3 - 2111*v**3. -2770*v**3 Collect the terms in -1050*w + 104*w - 1052*w - 1049*w + 3044*w. -3*w Collect the terms in 56*i + 49*i - 701*i + 567*i. -29*i Collect the terms in 2393*w - 2393*w + 22721832 + 15*w**3 - 22721832. 15*w**3 Collect the terms in 46295*w + 2*w**2 + 2377*w - 48672*w. 2*w**2 Collect the terms in 438 + 10521*z**2 - 133 - 138 - 167. 10521*z**2 Collect the terms in -18*w + 380*w**2 - 86*w**2 - 286*w**2. 8*w**2 - 18*w Collect the terms in 52*r - 19 + 6*r + 39 - 60*r - 25. -2*r - 5 Collect the terms in -3 - 213*m + 104*m + 15 + 97*m + 70*m - 12. 58*m Collect the terms in 7150*t - 39498*t - 41383*t + 15370*t. -58361*t Collect the terms in 122296415*j**3 - 19 + 19. 122296415*j**3 Collect the terms in -1328 - 71*d**3 - 1045 - 69*d**3 + 58*d**3 + 2373. -82*d**3 Collect the terms in 12604796 - 6302401 - 6*n**2 - 6302394. -6*n**2 + 1 Collect the terms in 0*x**2 - 2*x**2 - 242*x**3 - 7395*x + 7388*x. -242*x**3 - 2*x**2 - 7*x Collect the terms in 5 + 65*x - 1 - 27 + 1 + 18. 65*x - 4 Collect the terms in 83*j**3 - 2 - 5275*j - 95*j**3 - 14 - 1 + 5275*j. -12*j**3 - 17 Collect the terms in 5*v - 12*v - 2*v + 78*v**3 + 9*v - 194*v**3 + 101*v**3. -15*v**3 Collect the terms in 18017*k**2 + 96926*k**3 - 18017*k**2. 96926*k**3 Collect the terms in 334524*i - 3 - 327980*i + 12 - 9. 6544*i Collect the terms in -2563*h**2 + 2511 - 2712*h**2 - 2511. -5275*h**2 Collect the terms in 47 + 338*r + 341*r - 1370*r + 342*r - 14*r**2 + 338*r. -14*r**2 - 11*r + 47 Collect the terms in 18 - 15 - 104898563881*p + 104898563882*p - 3. p Collect the terms in 7018448*k - 1 + 1. 7018448*k Collect the terms in -1590060*q**3 - 56286*q**3 - 608876*q**3 - 258663*q**3. -2513885*q**3 Collect the terms in 70*i + 5*i**3 - 697819*i**2 + 697825*i**2 + 46*i. 5*i**3 + 6*i**2 + 116*i Collect the terms in -2416*n - 2403*n + 7776*n - 2956*n. n Collect the terms in -5329*w - 4434*w + 8690*w. -1073*w Collect the terms in -79930*n**2 + 3*n - 3*n + 171178*n**2 + 133252*n**2. 224500*n**2 Collect the terms in -2133*l**2 + 9305*l**2 - 6389*l**2 - 14199*l**2 - 13798*l**2. -27214*l**2 Collect the terms in -233*h - 5*h**3 + h**3 - 277*h - 4*h**3. -8*h**3 - 510*h Collect the terms in 189205*h - 35 - 189203*h + 42. 2*h + 7 Collect the terms in 1017*l**3 - 159 + 256 - 97. 1017*l**3 Collect the terms in -1746*b + 2117*b - 366*b. 5*b Collect the terms in -273*s - 341*s - 284*s + 111*s - 339*s. -1126*s Collect the terms in -427*i**2 + 427*i**2 + 6935*i**3 + 6897*i**3 - 13801*i**3. 31*i**3 Collect the terms in 61 - 83 + 34 + 45 - l**3. -l**3 + 57 Collect the terms in -30*z**2 - 14865*z + 14865*z - 3018*z**2. -3048*z**2 Collect the terms in -277*h + 156*h**2 - 76*h**2 - 79*h**2 + 274*h. h**2 - 3*h Collect the terms in -19630*y**3 - 14*y + 9814*y**3 + 5*y + 9812*y**3 + y. -4*y**3 - 8*y Collect the terms in -34846*i**3 + 17419*i**3 + 17415*i**3 - 29 + 15 + 14. -12*i**3 Collect the terms in -13*z**2 + 16*z + 160 - 3892 + 342 - 16*z. -13*z**2 - 3390 Collect the terms in 184 - 1618*i**2 - 184 - 2729*i**2 + 4343*i**2. -4*i**2 Collect the terms in 19*p**2 - 319*p - 367 + 11*p**2 - 397*p + 369 - 29*p**2. p**2 - 716*p + 2 Collect the terms in 3*a - 261 + 2*a - a + 2*a + a. 7*a - 261 Collect the terms in 2060*f + 6001*f + 6*f**3 - 3*f**3. 3*f**3 + 8061*f Collect the terms in 122 - 401 + 18*d - 7*d - 441. 11*d - 720 Collect the terms in 1452384*a**2 + 690459*a**2 + 354474*a**2. 2497317*a**2 Collect the terms in 46388673*w**3 - 46388592*w**3 - w + w. 81*w**3 Collect the terms in -127684*s**2 + 42575*s**2 - 168*s + 168*s + 42553*s**2 + 42555*s**2. -s**2 Collect the terms in -891819 + 446668 - 126*g + 445151. -126*g Collect the terms in 21*k - 47*k - 3560*k**3 - 47 + 26*k. -3560*k**3 - 47 Collect the terms in -42*u - 23*u**2 - 67*u**2 - 66*u - 4*u. -90*u**2 - 112*u Collect the terms in -204*r**2 + 203*r**2 - 46*r**3 - 187*r**3. -233*r**3 - r**2 Collect the terms in -1420 + 4583 - 13*b - 3163. -13*b Collect the terms in 1399*o - 1399*o + 996 - 5*o**3. -5*o**3 + 996 Collect the terms in 123*f - 8 + 167 + 49 + 7. 123*f + 215 Collect the terms in -65*o - 62*o - 33*o + 15*o + 45*o - 27*o. -127*o Collect the terms in -19 - 20 + 39 - 146*x**3 + 924*x**3. 778*x**3 Collect the terms in o + 336 - 999 + o**2 - 3*o + 332 + 333 + 1827*o**2. 1828*o**2 - 2*o + 2 Collect the terms in 250*o + 177*o + 317*o - 137*o - 41*o. 566*o Collect the terms in -i + 13005 + 2*i - 14389. i - 1384 Collect the terms in -71463*q**2 + 11*q + 0 - 71514*q**2 - 41*q + 0 + 143104*q**2. 127*q**2 - 30*q Collect the terms in -829799*l**3 - 829746*l**3 + 1659547*l**3. 2*l**3 Collect the terms in -22799*p - 23701 + 23701. -22799*p Collect the terms in 3*o**2 - 53*o - 2*o**2 + 58*o - 5*o + 44*o + 103. o**2 + 44*o + 103 Collect the terms in 7
{ "pile_set_name": "DM Mathematics" }
ne d(-3). 1 Let w(f) = 4*f**2 + 0*f + 4*f - 3*f**2 - 3*f. Let z(v) = v**3 + 4*v**2 - v - 4. Let k be z(-4). What is w(k)? 0 Let i(m) = 2*m**2 - 7*m + 2*m - 4 + 2*m**3 - 2*m. Let b(v) = -v**3 - v**2 + 3*v + 2. Let r(a) = 5*b(a) + 2*i(a). Let s = -19 - -17. Calculate r(s). 4 Let s be (-15)/20 - 55/(-20). Let y(p) = p**2 + 2*p - 1. Calculate y(s). 7 Let f(q) = q**2 - q - 9. Suppose 25 = 2*m + 3*m. Let j(w) = w - 3. Let a be j(m). Suppose -g + k - 2 + 1 = 0, -2*k = -g - a. Calculate f(g). -9 Let x(l) = 3*l - 1. Let k(d) = d**3 + d**2 - 14*d - 6. Let g be k(-4). Determine x(g). 5 Let h(z) = -z - 2. Let c = -6 - -12. Suppose 2*p = -2*q - 4, 2*p - 20 = -2*q + c*q. Give h(q). 2 Let o(i) = 3*i**2 + 7*i + 3. Suppose 0 = 2*c - 2*w - 18, -4*c + 28 = -2*w. Let g(t) = 4*t**2 + 10*t + 4. Let q(z) = c*g(z) - 7*o(z). Determine q(0). -1 Suppose -y + 4*v - 29 = 0, 2*v = 4*y + 67 - 21. Let d be ((-6)/(-9) + -1)*y. Let c(m) = -3*m - 2*m - d + 8*m. What is c(2)? 3 Let p be -3 - (-8 + 2 - -1). Let s(g) = -5*g**2 - 2*g + 1. Let j(o) = -5*o**2 - 2*o + 1. Let u(q) = p*j(q) - 3*s(q). Determine u(1). 6 Let c(t) = 2*t - 6. Let j = 41 - 25. Suppose 0 = 5*x + 3*q - j, -2*x + 6*x = 3*q + 29. Determine c(x). 4 Suppose 3*r - 6 = 5*v + 34, 0 = 2*r + 5*v + 15. Suppose 4*f - 3 = f + u, 2*f + 5*u = -15. Let k(s) = -10 - s + f + r. Give k(0). -5 Let a(c) = c + c - c - 2*c + 2. Let b be a(8). Let u(z) = 7*z**2 + z**3 + 7*z + 1 + 8*z**2 - 8*z**2. Determine u(b). -5 Suppose 4*k + 0*y = y + 18, -4*y = k - 13. Let v = -2 + 9. Let r(b) = 2*b - v*b + 3*b + b. Calculate r(k). -5 Let k be (-165)/(-12) + (-2)/(-8). Let s = k - 11. Let o(j) = -10*j**2 + 6*j + 12. Let g(h) = -7*h**2 + 4*h + 8. Let q(w) = -7*g(w) + 5*o(w). Calculate q(s). 1 Let q(p) be the third derivative of p**5/60 + p**4/4 - 5*p**3/3 + 9*p**2. Determine q(-7). -3 Let b(g) = g**2 + 2*g - 6. Let i be (-3)/6*(-10)/(-1). Give b(i). 9 Let p(k) = k + 3. Let b(j) = 5*j - 2. Let m be b(1). Give p(m). 6 Let v be -2 + 1 - (-5 + -2). Suppose 0*m = m + 4*j + v, j = -1. Let q be m/(-6) + 10/6. Let f(o) = -o**3 + 2*o**2 - 1. Determine f(q). -1 Let b(a) be the second derivative of -a**3/6 + 3*a**2/2 - a. Let k = -26 - -33. Suppose k = 4*h - 5. Calculate b(h). 0 Let p be (10/(-8))/((-1)/(-4)). Let b(g) be the first derivative of -g**4/12 - g**3/2 + g**2/2 - 2. Let t(a) be the second derivative of b(a). Calculate t(p). 7 Let t(h) = -h**3 + h - 5*h**2 + 4 - 2*h**3 + 4*h**3. Suppose -2*z - 224 = 2*z. Let f be (-2)/3 - z/12. Calculate t(f). -8 Suppose -4*t - 4*p + 6 = 18, -t + 27 = -5*p. Suppose 4*f - 2*c - 12 = -t, -1 = -c. Let s(z) = -2*z**2 + 3*z + 1. Determine s(f). -8 Let q(d) = -14*d**3 + 5*d**2 + 5*d - 6. Let m(j) = -13*j**3 + 4*j**2 + 4*j - 5. Let u(c) = 5*m(c) - 4*q(c). Let p = 5 - 6. Calculate u(p). 8 Suppose 4 = -3*c - c. Suppose 2*k = -2*k + 40. Let u be ((-4)/k)/(c/10). Let q(w) = -2*w + 1. Give q(u). -7 Let t(k) be the second derivative of k**5/20 - k**4/12 + 3*k**2/2 + k. Let u be 8 + -5 + -3*1. Determine t(u). 3 Let r(q) = q**2 + 8*q + 6. Let y(c) = 2*c**2 + 16*c + 13. Let m(d) = -9*r(d) + 4*y(d). Calculate m(-8). -2 Let r be (-8)/(-16)*6/(-1). Let l(h) = -h**3 - 4*h**2 - h + 2. Let u be l(r). Let b(x) = x**2 + 4*x - 5. What is b(u)? -5 Let t(c) = 6*c**3. Let o = -27 + 26. Determine t(o). -6 Let y(r) = -4*r - 4. Let x(s) be the first derivative of 1/2*s**2 - 9*s - 1. Let h be x(6). Give y(h). 8 Let p = -2 - -3. Let v(i) = 4*i. Determine v(p). 4 Let w(o) be the third derivative of o**4/4 + o**3/3 - 2*o**2. Suppose -2*c + 3*k + 0*k = -2, 0 = 3*c + k + 8. Give w(c). -10 Let g(q) = 8*q - 1. Suppose -3*d + 8 = 2*x, 4*x - 5*x + d - 6 = 0. Give g(x). -17 Suppose 0 = v - 2*g + 2, 2*v - 2*g + 6*g - 12 = 0. Let q(l) = -6*l**2 + 2*l + 3. Let w(y) = -13*y**2 + 4*y + 7. Let r(n) = -9*q(n) + 4*w(n). Calculate r(v). 5 Suppose -33 = 2*h - 25. Let c(z) = z**2 + z + 5. Determine c(h). 17 Let s(p) = 3*p + 4. Let c(m) = 4*m + 8. Let o(y) = 3*c(y) - 5*s(y). What is o(-3)? 13 Let x(j) = -j**3 - 8*j**2 - 10*j + 15. Let v be x(-6). Let s(c) be the first derivative of c**3/3 - 3*c**2/2 - c + 2. Calculate s(v). -1 Suppose 5*f = -4*p - 1 + 23, -2*p + 16 = 5*f. Let o(q) = -8*q**2 + q**p + 3*q + 4*q - 4 + 0*q. Determine o(7). -4 Let u(w) = -3 + 5*w + 1437*w**2 - 3 - 1438*w**2. Calculate u(7). -20 Let n(h) = -h**2 - 6*h + 5. Let b(m) = m - 1. Let q be b(-4). Let x(v) = -2 - v + 5 - 2 + 0. Let g(r) = q*x(r) + n(r). Give g(0). 0 Let l(f) = 11*f**2 + 11*f - 8. Let x(u) = -5*u**2 - 5*u + 4. Let k(n) = -6*l(n) - 13*x(n). Calculate k(0). -4 Let u(v) = 6*v - 1. Let b = -7 - -8. What is u(b)? 5 Suppose 7 = -y + 3*m, 6*y - 2*y - 2*m - 2 = 0. Let w(i) = 2*i + 0*i**3 + i**3 - i**2 + 0*i**2. Calculate w(y). 8 Let v(q) = q**3 - 5*q**2 + 7*q - 5. Let u = 16 + -12. What is v(u)? 7 Let a(i) = 2*i**2 + 3*i - 2. Let g(u) = -u**3 + u**2 - u + 1. Let m(o) = -a(o) - 2*g(o). Calculate m(3). 15 Let r(j) = -7*j - 31. Let u(c) = 3*c + 15. Let b(s) = 4*r(s) + 9*u(s). What is b(5)? 6 Let w = -17 - -1. Let j = w - -11. Let z(u) = -u**2 - 3*u. Calculate z(j). -10 Let p(b) = -b**2 - 7*b + 11. Suppose 6*w = -0*w - 54. What is p(w)? -7 Let s(f) = 4*f + f**2 + 7 + f + 2*f. Let h be (-2)/(-4)*(-14 - -4). Determine s(h). -3 Let y = -331 + 328. Let j(i) = 15*i**3 + 19*i**2 + 19*i - 11. Let v(z) = -7*z**3 - 9*z**2 - 9*z + 5. Let t(m) = 6*j(m) + 13*v(m). Calculate t(y). 8 Let j(h) = -4 + 2 - 2*h + h. Suppose 4*k - 38 = -i + 4*i, 3*i + 3*k = -3. What is j(i)? 4 Let m(d) = 8*d - 19. Let h(z) = -7*z + 18. Let g(j) = 7*h(j) + 6*m(j). What is g(8)? 4 Let w = 6 + -3. Let g be 0/(1 + 4 - w). Let p(r) = -r + 3. Determine p(g). 3 Let a(z) = 0 + 0 + 1 - 4*z. Suppose 2 = j - 0. Suppose 4 - j = 2*g. Give a(g). -3 Let l be 1 + (1 + -1)*1. Let k(b) = b - 25 - 3*b**2 + 38 - 14. What is k(l)? -3 Let n(l) be the first derivative of 0*l + 1/2*l**3 + 3 + 1/24*l**4 + 1/2*l**2. Let d(f) be the second derivative of n(f). What is d(-3)? 0 Let q(n) be the first derivative of 3 - 2 - 5*n + n - n**2 + 0*n. Suppose -5*d - 33 = -13. Calculate q(d). 4 Let r be ((-2)/4)/(7/(-84)). Let t(k) = -19 + 44 - r*k - 24. Determine t(-1). 7 Let a = 3 - -2. Let b(w) = -w + 1. Let z(g) = 3*g - 2. Let j(i) = a*b(i) + 2*z(i). Determine j(-6). -5 Let f = -8 + 6. Let y(t) be the second derivative of -1/4*t**4 - t**2 - 1/20*t**5 + 0 - 2/3*t**3 - t. Give y(f). 2 Let p(d) = 2*d + 6*d + 6*d**2 + d**3 - 2*d + 1. Let n(w) be the second derivative of -w**4/12 - 5*w**2/2 + 3*w. Let a be n(0). Determine p(a). -4 Let k(x) = 13 - 21 + 8 + 11*x**2. Give k(1). 11 Let i(d) be the second derivative of d**5/60 + d**4/4 + 5*d**3/6 + 4*d**2 - 8*d. Let y(w) be the first derivative of i(w). Give y(-6). 5 Let r(p) = p**2 - 8*p + 8. Let i be r(8). Suppose i*x + 3 = 11*x. Let m(g) be the first derivative of -g**2/2 + 2*g - 1. What is m(x)? 1 Suppose -3 + 5 = 2*k. Let b(w) be the third derivative of 0*w**3 - 1/60*w**5 + 6*w**2 + 1/24*w**6 + 0 + 1/24*w**4 + 0*w. Calculate b(k). 5 Let k(m) = 7*m**3 + 21*m**2 - 2*m - 4. Let h(x) = -4*x**3 - 11*x**2 + x + 2. Let d(t) = 11*h(t) + 6*k(t). Give d(3). -14 Let x(g) be the third derivative of g**6/120 - g**5/30 + 2*g**2. Let z(d) = -d**3 + 2 - 5*d - 2*d + 4*d**2 + 4*d**2. Let u be z(7). Calculate x(u). 0 Let x(f) = 2*f**3 - f**2 + 3*f**2 - 3*f**3 + f. Let j be (-12)/20 + (-9)/(-15). Suppose j = 4*u - 4, d + 0*u - u = -2. Give x(d). 2 Let d be ((1/((-2)/(-8)))/(-1))/2. Let v(x) = x**2 + 2*x + 2. Give v(d). 2 Suppose 2*w - 2*q + 4 = -3*q, -4*w + 3*q = 28. Let z = -3 - w. Let o be -4 - ((0 - 0) + z). Let h(u) = -u**3 - 4*u**2 + 6*u + 6. What is h(o)? 1 Suppose -4*s - 4*l = 12, 2*l + 3*l = 2*s - 29. Suppose -s*j = -5*t - 5*j - 11, 5 = 5*t - 5*j. Let x be -3 - t - -1 - 0. Let h(w) = 5*w. Calculate h(x). -5 Let l = 202 - 208. Let f(q) = -q**2 - 5 + 6*q**2 - 7*q + 0*q**3 + q**3. What is f(l)? 1 Let o(w) = -9*w**2 - 4*w - 3. Let s(y) = 3*y**2 + y + 1. Let g(t) = -2*o(t) - 7*s(t). Give g(2). -11 Suppose -2*d + 6*d - 8 = 0. Let x(b) = b**3 + 2 - 2*b + b**d + b**2 + b. Calculate x(-3). -4 Let k = 56 + -51. Let w(p) = -p**2 + 5*p + 3. What is w(k)? 3 Let u(v) be the second derivative of -v**4/12 - 4*v**3/3 - 5*v**2 + 11*v. Determine u(-7). -3 Let m(i) = i**2 - 2. Let b(v) = -v**3 - 4*v**2 + 3*v + 1. Let g be b(-5). Let d = g - 14.
{ "pile_set_name": "DM Mathematics" }
7 to the power of 1/3, to the nearest integer? 100 What is 19978769 to the power of 1/10, to the nearest integer? 5 What is the square root of 252523 to the nearest integer? 503 What is 3040423 to the power of 1/5, to the nearest integer? 20 What is 5856068 to the power of 1/3, to the nearest integer? 180 What is the cube root of 682985 to the nearest integer? 88 What is 350277 to the power of 1/6, to the nearest integer? 8 What is the tenth root of 3894942 to the nearest integer? 5 What is 11148305 to the power of 1/9, to the nearest integer? 6 What is the tenth root of 132887 to the nearest integer? 3 What is the square root of 9289974 to the nearest integer? 3048 What is the tenth root of 8961 to the nearest integer? 2 What is the cube root of 516980 to the nearest integer? 80 What is 606016 to the power of 1/4, to the nearest integer? 28 What is the fourth root of 6927218 to the nearest integer? 51 What is 6680171 to the power of 1/9, to the nearest integer? 6 What is the square root of 966332 to the nearest integer? 983 What is the seventh root of 2496727 to the nearest integer? 8 What is 43655 to the power of 1/9, to the nearest integer? 3 What is the square root of 33536279 to the nearest integer? 5791 What is the square root of 8978929 to the nearest integer? 2996 What is 338308 to the power of 1/2, to the nearest integer? 582 What is 857433 to the power of 1/5, to the nearest integer? 15 What is the cube root of 2793572 to the nearest integer? 141 What is 766056 to the power of 1/2, to the nearest integer? 875 What is the fourth root of 2707356 to the nearest integer? 41 What is the seventh root of 450648 to the nearest integer? 6 What is 1648937 to the power of 1/6, to the nearest integer? 11 What is 278928 to the power of 1/3, to the nearest integer? 65 What is the seventh root of 15563970 to the nearest integer? 11 What is the fifth root of 18134915 to the nearest integer? 28 What is the square root of 4571504 to the nearest integer? 2138 What is 1645353 to the power of 1/9, to the nearest integer? 5 What is the square root of 1457255 to the nearest integer? 1207 What is the square root of 6521839 to the nearest integer? 2554 What is the square root of 232980 to the nearest integer? 483 What is the eighth root of 28255860 to the nearest integer? 9 What is 29043367 to the power of 1/2, to the nearest integer? 5389 What is the tenth root of 32173282 to the nearest integer? 6 What is the third root of 17190649 to the nearest integer? 258 What is 787043 to the power of 1/9, to the nearest integer? 5 What is the third root of 10287593 to the nearest integer? 217 What is the fourth root of 192297 to the nearest integer? 21 What is the third root of 833890 to the nearest integer? 94 What is the tenth root of 1288914 to the nearest integer? 4 What is the sixth root of 2914603 to the nearest integer? 12 What is the fifth root of 545168 to the nearest integer? 14 What is 29866180 to the power of 1/7, to the nearest integer? 12 What is the third root of 730890 to the nearest integer? 90 What is the third root of 496643 to the nearest integer? 79 What is 128681 to the power of 1/3, to the nearest integer? 50 What is the square root of 2796054 to the nearest integer? 1672 What is the eighth root of 616519 to the nearest integer? 5 What is the tenth root of 368898 to the nearest integer? 4 What is 3029691 to the power of 1/4, to the nearest integer? 42 What is the third root of 521784 to the nearest integer? 81 What is 533217 to the power of 1/2, to the nearest integer? 730 What is 10611 to the power of 1/2, to the nearest integer? 103 What is 1768131 to the power of 1/7, to the nearest integer? 8 What is 107856 to the power of 1/8, to the nearest integer? 4 What is 11231603 to the power of 1/5, to the nearest integer? 26 What is 281765 to the power of 1/2, to the nearest integer? 531 What is 4906 to the power of 1/3, to the nearest integer? 17 What is the tenth root of 2901274 to the nearest integer? 4 What is the seventh root of 6049981 to the nearest integer? 9 What is the fifth root of 1710644 to the nearest integer? 18 What is 1030058 to the power of 1/3, to the nearest integer? 101 What is the tenth root of 126912 to the nearest integer? 3 What is the cube root of 3318931 to the nearest integer? 149 What is 1469650 to the power of 1/7, to the nearest integer? 8 What is the square root of 2076095 to the nearest integer? 1441 What is the third root of 230558 to the nearest integer? 61 What is the square root of 9570277 to the nearest integer? 3094 What is 8511395 to the power of 1/2, to the nearest integer? 2917 What is the square root of 119232 to the nearest integer? 345 What is 786521 to the power of 1/5, to the nearest integer? 15 What is 27544758 to the power of 1/8, to the nearest integer? 9 What is the tenth root of 5888498 to the nearest integer? 5 What is the fourth root of 4015855 to the nearest integer? 45 What is the eighth root of 413498 to the nearest integer? 5 What is 254062 to the power of 1/8, to the nearest integer? 5 What is the square root of 2209995 to the nearest integer? 1487 What is 5020327 to the power of 1/3, to the nearest integer? 171 What is the square root of 42602 to the nearest integer? 206 What is the fifth root of 12905 to the nearest integer? 7 What is the square root of 165863 to the nearest integer? 407 What is 709633 to the power of 1/2, to the nearest integer? 842 What is the third root of 254308 to the nearest integer? 63 What is the eighth root of 350850 to the nearest integer? 5 What is the square root of 1155983 to the nearest integer? 1075 What is the tenth root of 268027 to the nearest integer? 3 What is 1915629 to the power of 1/2, to the nearest integer? 1384 What is 446480 to the power of 1/3, to the nearest integer? 76 What is 196386 to the power of 1/10, to the nearest integer? 3 What is the square root of 405889 to the nearest integer? 637 What is 703134 to the power of 1/6, to the nearest integer? 9 What is 212752 to the power of 1/2, to the nearest integer? 461 What is 2784369 to the power of 1/4, to the nearest integer? 41 What is the square root of 1099490 to the nearest integer? 1049 What is the square root of 8566169 to the nearest integer? 2927 What is the square root of 18758216 to the nearest integer? 4331 What is the ninth root of 14860994 to the nearest integer? 6 What is the tenth root of 259276 to the nearest integer? 3 What is 22950014 to the power of 1/7, to the nearest integer? 11 What is 5690385 to the power of 1/2, to the nearest integer? 2385 What is the cube root of 2601396 to the nearest integer? 138 What is the square root of 74976 to the nearest integer? 274 What is 6653887 to the power of 1/3, to the nearest integer? 188 What is 3425515 to the power of 1/3, to the nearest integer? 151 What is 15095030 to the power of 1/10, to the nearest integer? 5 What is the square root of 252694 to the nearest integer? 503 What is 9003901 to the power of 1/3, to the nearest integer? 208 What is 17435192 to the power of 1/2, to the nearest integer? 4176 What is the fourth root of 23221 to the nearest integer? 12 What is the ninth root of 177904 to the nearest integer? 4 What is the third root of 5535647 to the nearest integer? 177 What is 510843 to the power of 1/9, to the nearest integer? 4 What is the ninth root of 148178 to the nearest integer? 4 What is 219771 to the power of 1/4, to the nearest integer? 22 What is the sixth root of 202811 to the nearest integer? 8 What is the cube root of 1644195 to the nearest integer? 118 What is the third root of 387130 to the nearest integer? 73 What is the sixth root of 71407 to the nearest integer? 6 What is the square root of 1162205 to the nearest integer? 1078 What is 9008128 to the power of 1/8, to the nearest integer? 7 What is 293175 to the power of 1/5, to the nearest integer? 12 What is 37546368 to the power of 1/9, to the nearest integer? 7 What is the third root of 88338 to the nearest integer? 45 What is the square root of 20903880 to the nearest integer? 4572 What is the square root of 1504305 to the nearest integer? 1227 What is the fourth root of 708626 to the nearest integer? 29 What is 456180 to the power of 1/9, to
{ "pile_set_name": "DM Mathematics" }
? 279 Let n(p) = p**3 + 5*p**2 + 126*p + 818. What is n(-6)? 26 Let x(z) = 52206*z - 104410. Calculate x(2). 2 Let x(l) = -11*l**3 - 625*l**2 - 13*l + 120. What is x(-57)? 7359 Let j(l) = -5*l**2 + 110*l + 488. Determine j(-5). -187 Let r(o) = 18*o**2 + 544*o - 25. Calculate r(0). -25 Let o(c) = 210248*c + 1051287. What is o(-5)? 47 Let g(t) = -t**2 + 709*t + 80713. Calculate g(-100). -187 Let o(b) = b**3 - b**2 - 117*b + 493. Determine o(9). 88 Let w(t) = 548*t**2 - 132*t - 119. Determine w(-1). 561 Let o(s) = s**3 - 122*s**2 + 39*s - 5513. Give o(122). -755 Let b(f) = 21*f**2 - 90*f - 787. Determine b(16). 3149 Let p(z) = 449*z - 35453. Calculate p(81). 916 Let o(z) = 3066*z - 25932. Give o(8). -1404 Let x(r) = -18957*r - 151184. Calculate x(-8). 472 Let y(m) = m**3 - 152*m**2 - 6781*m + 1046735. Determine y(151). 3 Let i(v) = -6*v**3 + 5*v**2 - 5*v - 69. What is i(3)? -201 Let a(r) = -2078*r**2 - 8274*r - 23. Determine a(-4). -175 Let r(t) = -4*t**3 + 55*t**2 + 2312*t - 28761. Determine r(12). -9 Let y(t) = -17191*t - 825156. Calculate y(-48). 12 Let x(p) = 1624*p + 3384. Determine x(-2). 136 Let w(d) = 127050*d + 127047. Calculate w(-1). -3 Let y(z) = 4828*z + 13697. What is y(-3)? -787 Let h(q) = 23308*q + 209729. Determine h(-9). -43 Let d(i) = 5*i**2 - 30*i + 150. Calculate d(8). 230 Let m(k) = -37*k**2 - 2142*k + 224. What is m(-58)? -8 Let a(j) = 3*j**2 + 151*j - 3307. Calculate a(19). 645 Let z(y) = -132*y**2 + 20499*y + 4. Determine z(0). 4 Let x(p) = -1983*p + 6025. Determine x(3). 76 Let k(c) = -3*c**2 + 568*c - 22853. Determine k(58). -1 Let h(d) = d**3 + 7*d**2 + 219*d + 669. Calculate h(-3). 48 Let m(t) = 2*t**2 + 3211*t - 283838. Determine m(84). -2 Let q(r) = 473*r - 11123. Give q(24). 229 Let w(m) = 96*m**2 - 2777*m + 88. What is w(29)? 291 Let g(d) = d**3 + 69*d**2 - 2746*d - 159438. Determine g(-78). -6 Let p(m) = 7*m**3 + 42*m**2 - 365*m - 23. Give p(-11). -243 Let v(z) = 2*z**2 + 520*z + 13769. Give v(-30). -31 Let d(g) = 135*g**2 + 20063*g - 7761. What is d(-149)? -13 Let w(l) = 17056*l + 170581. Calculate w(-10). 21 Let f(o) = -201950*o - 1009754. Determine f(-5). -4 Let i(k) = -853*k + 149353. Calculate i(175). 78 Let c(j) = -9048*j + 44753. Determine c(5). -487 Let k(g) = -5973*g + 3530122. Calculate k(591). 79 Let r(p) = 314*p - 43644. Calculate r(160). 6596 Let z(y) = 309*y - 70697. Determine z(227). -554 Let v(r) = 151*r - 74. Calculate v(3). 379 Let v(w) = -99974*w + 3399136. What is v(34)? 20 Let q(v) = 3*v**2 + 46*v - 1392. Calculate q(27). 2037 Let s(k) = 2*k**3 - 114*k**2 + 1487*k - 1614. Determine s(38). 20 Let s(c) = 138827*c - 2915368. Calculate s(21). -1 Let m(s) = -741*s + 1433. What is m(4)? -1531 Let f(h) = -4*h**3 + 505*h**2 - 119*h - 864. Determine f(126). 18 Let p(l) = 30*l**2 + 517*l + 162. Determine p(-17). 43 Let q(v) = 4*v**2 - 1582*v + 7903. Give q(5). 93 Let r(t) = -8*t**2 + 145*t + 114. Determine r(28). -2098 Let p(j) = -51496*j - 103003. What is p(-2)? -11 Let n(x) = -3273*x + 13. Give n(0). 13 Let w(m) = -3*m**3 - 102*m**2 + 32. What is w(-34)? 32 Let u(r) = 2*r**3 + 5*r**2 + 24*r + 2. Calculate u(0). 2 Let n(u) = 1524*u - 1690. Determine n(1). -166 Let c(a) = 7*a**2 - 30*a - 1412. Calculate c(16). -100 Let m(t) = -143*t + 17498. What is m(130)? -1092 Let l(v) = 452*v**2 - 3567*v - 114. Calculate l(8). 278 Let c(v) = 10*v**2 - 64*v - 185. What is c(11)? 321 Let s(c) = c**3 + 68*c**2 + 967*c + 50149. Determine s(-65). -31 Let q(h) = 9476*h + 274674. Give q(-29). -130 Let s(b) = -16649*b + 16631. What is s(1)? -18 Let z(s) = -23*s**2 - 9661*s - 411. Calculate z(-420). 9 Let t(g) = 592*g**3 + 2958*g**2 - 11*g + 1. Determine t(-5). 6 Let m(j) = 11207*j + 1378486. Determine m(-123). 25 Let z(n) = 4*n**2 + 299*n - 9490. Give z(24). -10 Let d(b) = 4*b**3 - 194*b**2 + 1752*b + 1724. What is d(36)? -4 Let r(b) = -1582*b + 515700. Give r(326). -32 Let n(h) = -h**3 + 3334*h**2 - 26612*h + 28. Give n(8). -4 Let y(o) = -4*o**2 - 117*o + 2657. Calculate y(30). -4453 Let c(w) = -61*w**3 + 668*w**2 + 58*w - 490. Give c(11). -215 Let i(x) = 4*x**3 + 497*x**2 + 131*x + 428. Give i(-124). -440 Let n(c) = 723*c**2 + 67960*c - 170. What is n(-94)? 18 Let b(t) = 149*t**2 - 892*t - 1. Determine b(6). 11 Let m(c) = 1347*c + 435086. Determine m(-323). 5 Let u(b) = 2822*b - 14258. What is u(5)? -148 Let n(x) = 10*x**3 - 127*x**2 - 33*x + 614. What is n(13)? 692 Let s(v) = -v**3 + 1392*v**2 + 9788*v - 44. Determine s(-7). -9 Let h(i) = -161*i + 6149. Determine h(38). 31 Let v(c) = 24244*c - 96971. Give v(4). 5 Let u(x) = -7911*x - 213518. What is u(-27)? 79 Let j(a) = -a**3 + 49*a**2 - 508*a + 22004. Calculate j(48). -76 Let n(z) = -10*z**3 + 2684*z**2 + 1613*z + 283. Determine n(269). 14 Let n(w) = -30*w**2 - 239*w - 571. Calculate n(-10). -1181 Let n(b) = -2489*b + 10003. Give n(4). 47 Let n(m) = 4*m**2 + 966*m + 3507. Determine n(-238). 175 Let d(q) = q**3 - 49*q**2 + 123*q + 2478. Give d(45). -87 Let v(u) = 64*u**2 + 6674*u + 1861. Determine v(-104). -11 Let j(y) = -12899*y + 103163. What is j(8)? -29 Let n(w) = w**2 - 2752*w + 60059. Calculate n(22). -1 Let m(b) = -304*b**2 - 6311*b + 1501. Give m(-21). -32 Let s(v) = -10947*v + 229862. Calculate s(21). -25 Let w(b) = 205814*b - 617436. Determine w(3). 6 Let x(g) = 79874*g - 558825. Calculate x(7). 293 Let y(k) = 750*k**2 + 19238*k + 12206. Give y(-25). 6 Let g(q) = 3*q**2 + 2552*q + 2551. Calculate g(-1). 2 Let y(r) = r**3 + 80*r**2 + 88*r + 667. Calculate y(-79). -44 Let s(o) = 317*o**2 + 244077*o - 10002. Give s(-770). 8 Let x(v) = 1079*v - 163842. Calculate x(151). -913 Let c(h) = 3*h**3 - 261*h**2 - 381*h + 11375. Give c(88). 1079 Let k(h) = -h**3 + 25*h**2 + 789*h + 3729. Give k(-13). -106 Let n(y) = -1170*y - 143. Give n(1). -1313 Let u(h) = 8285*h - 66304. What is u(8)? -24 Let z(c) = 4*c**2 - 33*c - 670. Determine z(18). 32 Let p(d) = 11521*d + 979282. What is p(-85)? -3 Let h(k) = -181*k**2 + 3077*k - 71. Give h(17). -71 Let f(l) = 2*l**3 + 138*l**2 + 112*l - 1420. Give f(-68). 212 Let w(m) = 450*m + 93402. Give w(-208). -198 Let m(c) = 10*c**3 - 52*c**2 - 14*c + 81. Calculate m(5). -39 Let u(x) = x**2 + 31584*x + 694364. What is u(-22)? 0 Let o(h) = 59*h**2 + 180*h - 598. Determine o(3). 473 Let a(m) = 229*m + 9882. What is a(-43)? 35 Let i(j) = -j**2 - 1361*j - 468. Calculate i(0). -468 Let a(q) = -q**3 + 302*q**2 - 7148*q - 7741. Calculate a(276). -13 Let d(l) = l**3 - 31*l**2 + 133*l - 6749. Give d(33). -182 Let u(k) = -3*k**3 + 204*k**2 + 28*k + 58. Calculate u(68). 1962 Let t(c) = c**3 + 95*c**2 + 525*c - 1678. Determine t(-89). -877 Let f(m) = -m**2 + 742*m - 105605. Give f(550). -5 Let u(b) = -b**3 - 5051*b**2 + 15261*b - 312. Determine u(3). -15 Let o(n) = n**3 - 415*n**2 - 1257*n + 1251. What is o(418)? -3 Let i(r) = 396688*r + 1190049. Give i(-3). -15 Let b(m) = -m**3 - 10*m**2 - 51*m + 68. Determine b(-19). 4286 Let k(j) = -8975*j**2 + 26958*j - 5. Determine k(3). 94 Let i(j) = 8*j**2 + 171*j + 10. Calculate i(-7). -795 Let p(j) = -17*j**2 + 735*j - 2304. Determine p(40). -104 Let z(w) = 455*w + 10895. Give z(-24). -25 Let u(h) = -5*h**2 + 8837*h + 62075. Determine u(-7). -29 Let r(a) = 3621*a + 7846. Give r(-2). 604 Let n(j) = j**3 - 211*j**2 - 3150*j + 219. Calculate n(225). 219 Let s(t) = -t**3 + 186*t**2 - 6255*t - 117. Give s(44). -425 Let a(f) = -f**3 + 106*f**2 - 506*f + 711. Give a(101). 610 Let l(c) = -6*c**3 - 71*c**2 - 20*c - 419. Give l(-12). -35 Let t(g) = g**3 + 180*g**2 + 360*g - 22. Give t(-178). -734 Let r(w) = -w**3 + 89*w**2 - 393*w + 52276. Give r(91). -49 Let n(t) = -3010*t - 677249. Determine n(-225). 1 Let f(s) = -98*s**3 - 344*s**2 - 157*s - 20. What is f(-3)? 1 Let k(o) = -2*o**3 + 1030*o**2 - 2036*o - 8356. Calculate k(513). -148 Let k(b) = -b**3 - 49*b**2 + 263*b + 10757. Give k(-50). 107 Let o(f) = 293005*f + 27835472. Give o(-95). -3 Let o(h) = 14*h**3 + 4369*h**2 + 312*h - 31. Calculate o(-312). -31 Let w(c) = 5*c**3 - 2*c**2 - 675*c - 2703. Calculate w(-4). -355 Let d(w) = -25*w**2 - 149*w + 214. Calculate d(-8). -194 Let k(v) = -v**3 + 724*v**2 - 4314*v + 45. Calculate k(6). 9 Let x(y) = -20071*y - 381375. Give x(-19). -26 Let j(d) = -532*d - 18633. Calculate j(-34). -545 Let t(m) = -11979*m + 11998. Wha
{ "pile_set_name": "DM Mathematics" }
the terms in -9*f + 15*f - 10*f - 4*f. -8*f Collect the terms in -40*o**2 - 324*o**2 - 531*o**2 + 230*o**2. -665*o**2 Collect the terms in 6*x + 8*x - 4*x - 3*x. 7*x Collect the terms in 112*o - 5 - 126*o + 5. -14*o Collect the terms in 7*b**3 + 2*b**2 - 21*b**3 + 8*b**3. -6*b**3 + 2*b**2 Collect the terms in -48*m + 86*m - 40*m. -2*m Collect the terms in 41*w**2 + 43 - 43. 41*w**2 Collect the terms in -36*j + j + 185*j. 150*j Collect the terms in 2 + 12*s + 25*s - 2. 37*s Collect the terms in 0 + 2*u + 20*u + 0. 22*u Collect the terms in 39*x**3 - 4*x**3 + 9*x**3. 44*x**3 Collect the terms in -871 - 8*c + 871. -8*c Collect the terms in 630 - 630 + 25*d. 25*d Collect the terms in 0 + 0 + 4 - 3*l**3 - 23. -3*l**3 - 19 Collect the terms in 19*n**2 - 6*n**2 - 13*n**2 - 233*n**3. -233*n**3 Collect the terms in 77*q**3 + 74*q**3 - 218*q**3 + 73*q**3. 6*q**3 Collect the terms in -75*w**2 - 69*w**2 + 146*w**2. 2*w**2 Collect the terms in -285 + 300 - 590 - 2*q. -2*q - 575 Collect the terms in -59 - 65 - 64 + 5*s**3 + 188. 5*s**3 Collect the terms in -2*t - t - 8*t - 2*t. -13*t Collect the terms in 209*t**3 - 416*t**3 + 212*t**3. 5*t**3 Collect the terms in 3 - 3587*g - 3 + 3447*g. -140*g Collect the terms in -85124*y - y**2 + 85124*y + 3*y**2. 2*y**2 Collect the terms in -57*f - 56*f + 113*f + 146*f**3. 146*f**3 Collect the terms in -2 - 2 + 5*a**2 + 4. 5*a**2 Collect the terms in -26*w**2 + 50*w**2 - 26*w**2. -2*w**2 Collect the terms in -24*p + 60*p - 14*p - 21*p - 14*p. -13*p Collect the terms in -13*x**2 - 40*x + 79*x - 39*x. -13*x**2 Collect the terms in 5 + 0 - 9*i**2 - 5. -9*i**2 Collect the terms in -j - 10112 + 10112. -j Collect the terms in 244870 + p - 244870. p Collect the terms in -353971 + w + 353971. w Collect the terms in -3*s + 4*s - s + 199*s**3. 199*s**3 Collect the terms in 23 + 91*z**2 + 97*z**2 - 23. 188*z**2 Collect the terms in -15090*c**2 + 30178*c**2 - 15087*c**2. c**2 Collect the terms in 9*y**2 + 6*y**2 - 20*y**2. -5*y**2 Collect the terms in -39 - 4*j**2 + 4*j**2 + 37 + 31*j**3. 31*j**3 - 2 Collect the terms in -8*v + 17*v**2 + 8*v. 17*v**2 Collect the terms in -241*y**2 - 3*y + 482*y**2 - 230*y**2. 11*y**2 - 3*y Collect the terms in 2911 + 2*x - 2911. 2*x Collect the terms in 13*h**2 + 15*h**2 - 27*h**2. h**2 Collect the terms in 2*p**3 - 2*p + 2*p + 4*p**3. 6*p**3 Collect the terms in -6749*b**2 - 6752*b**2 + 13506*b**2. 5*b**2 Collect the terms in -6*o + 1298 - 1298. -6*o Collect the terms in -486 + 247 - 2*v + 237 - 5*v. -7*v - 2 Collect the terms in -133 + 406 - 5*r**3 - 141 - 132. -5*r**3 Collect the terms in -70600*g + 35301*g + 35293*g. -6*g Collect the terms in 723*n**2 - 365*n**2 - 355*n**2. 3*n**2 Collect the terms in 7*c**3 + 13*c**3 - 28*c**3. -8*c**3 Collect the terms in 1351*n**2 - 18*n + 2 + 18*n. 1351*n**2 + 2 Collect the terms in -29030*j**2 - 3*j**3 + 29030*j**2. -3*j**3 Collect the terms in 626*i + i**3 - 626*i. i**3 Collect the terms in 4*u + 0 + 13 - 3 - 7. 4*u + 3 Collect the terms in 104*v**2 - 51*v**2 - 54*v**2. -v**2 Collect the terms in -3*x + 18*x - 2*x**3 + 16*x. -2*x**3 + 31*x Collect the terms in 5*v + 7*v + 5*v + 5*v - 28*v. -6*v Collect the terms in 13*r**2 + 15*r**2 - 46*r**2 + 17*r**2. -r**2 Collect the terms in -9*s**3 + 0*s**2 + 0*s**2 - 61*s**3. -70*s**3 Collect the terms in -3*f - 3*f + 15*f**3 + 5*f. 15*f**3 - f Collect the terms in -89*x**3 + 12115 - 12115. -89*x**3 Collect the terms in 8*o**2 + 40*o**2 - 10*o**2. 38*o**2 Collect the terms in 0*d**2 + 32*d**3 - 28*d**3 + 0*d**2. 4*d**3 Collect the terms in 15 + 107*q**2 + q - 15. 107*q**2 + q Collect the terms in 303*t**2 - 34*t**2 + 267*t**2. 536*t**2 Collect the terms in 275*t - 136*t - 136*t. 3*t Collect the terms in -919 + 457 + 462 - 6*m + 5*m. -m Collect the terms in 2*d**3 + 66*d**2 - 75*d**2 - 3*d**3 + 9*d**2. -d**3 Collect the terms in 3*z + 6 + 3*z - 3*z. 3*z + 6 Collect the terms in -32*t**2 + 24*t - 81*t**2 - 24*t. -113*t**2 Collect the terms in -10*j**2 + 95 - 3*j**2 - 95. -13*j**2 Collect the terms in 169 + 4*t**2 - 169. 4*t**2 Collect the terms in -17 - 19 - 40*h**2 + 36. -40*h**2 Collect the terms in 14*t**3 + 4*t**2 - 8*t**3 - 3*t**2. 6*t**3 + t**2 Collect the terms in 7*a**3 - 3291*a**2 + 3291*a**2. 7*a**3 Collect the terms in 0*s + 25*s - s**3 + 3*s**3. 2*s**3 + 25*s Collect the terms in -2*t - 14 + 14. -2*t Collect the terms in 1 - 5 - 29*v + 4. -29*v Collect the terms in -w**3 - w**3 - 5*w**3 + 5*w**3. -2*w**3 Collect the terms in 7*z**3 - 13*z**3 + 10*z**3. 4*z**3 Collect the terms in -3*f + 7*f + 6*f + 2*f - 14*f. -2*f Collect the terms in -4*q**2 + 494*q - 494*q. -4*q**2 Collect the terms in 244*l + 42 - 85 + 43. 244*l Collect the terms in -2*r - 7*r + 22*r - 12*r. r Collect the terms in -7*c**3 + 0*c**3 + 5*c**3 + 5*c**2. -2*c**3 + 5*c**2 Collect the terms in 53*l**2 - l - 98*l**2 + l + 51*l**2. 6*l**2 Collect the terms in -3852*f + 3 - 3. -3852*f Collect the terms in 2391*r**2 - 2391*r**2 + 2*r**3. 2*r**3 Collect the terms in 531 - 531 - 5*k. -5*k Collect the terms in 18*d**2 + 0*d**2 + 7*d**2. 25*d**2 Collect the terms in 367*a**3 - 330*a**3 - 2*a + 2*a. 37*a**3 Collect the terms in 0*r**3 + 1443 + 8*r**3 - 1443. 8*r**3 Collect the terms in 1 + 269*r - 134*r - 1 - 131*r. 4*r Collect the terms in -28*x - x**3 + 20*x + 8*x. -x**3 Collect the terms in 0*o**2 - 17*o**2 + 76 - 76. -17*o**2 Collect the terms in 3 - 7*n + 8*n - 3. n Collect the terms in 2*p**2 - 4 + 4*p - 4*p**2 + 4. -2*p**2 + 4*p Collect the terms in 12*o + o**2 + 16*o + o**2. 2*o**2 + 28*o Collect the terms in 6*d**2 + 2*d**3 - 27*d**2 + 21*d**2 - 5*d**3. -3*d**3 Collect the terms in 93*m + 103*m - 31*m. 165*m Collect the terms in -154*t**3 + 79*t**3 + 66*t**3. -9*t**3 Collect the terms in -1464*l + 4*l**3 + 1464*l. 4*l**3 Collect the terms in 2*k**2 + 1152*k - 576*k - 576*k. 2*k**2 Collect the terms in -3351*k**3 - 2253*k**3 + 325*k**3. -5279*k**3 Collect the terms in -9*a**2 + 0*a**2 + 0*a**2 + 2*a**2. -7*a**2 Collect the terms in 2*g - 3*g - 2*g. -3*g Collect the terms in 12*p**2 + 2 + 6 - 8. 12*p**2 Collect the terms in 2 + 12 - 11*z - 14. -11*z Collect the terms in 38*x**2 - 7*x**2 - 5*x**2 - 11*x**2. 15*x**2 Collect the terms in 356*m**2 - 60 + 60. 356*m**2 Collect the terms in -6 + 6 + 264*b**2. 264*b**2 Collect the terms in -30*r + 12*r + 12*r + 5*r. -r Collect the terms in -43 - 40 + 83 + 252*y. 252*y Collect the terms in -7*p**3 + 10*p**3 + 7*p**3 + 0*p**3. 10*p**3 Collect the terms in 4 + 7377*f**3 - 4 - 7379*f**3. -2*f**3 Collect the terms in 4*k**3 - 4*k**3 - 4*k**3 - 6*k**3. -10*k**3 Collect the terms in -29*p**3 + 5*p - 3*p - 2*p. -29*p**3 Collect the terms in -6*v - 8*v - v + 8*v + 6*v. -v Collect the terms in 12 + 14 + 21*j - 20*j - 26. j Collect the terms in 8*j**3 + 7*j**3 - 19*j**3. -4*j**3 Collect the terms in 25*c - 6*c**2 - 48*c - 2*c**2. -8*c**2 - 23*c Collect the terms in -15 - 6*l**2 + 2*l**3 + 10 + 0*l**2. 2*l**3 - 6*l**2 - 5 Collect the terms in 3 + 441*k**2 - 3. 441*k**2 Collect the terms in z**2 + z**2 + 0*z**2. 2*z**2 Collect the terms in -o**3 + 5*o + 14*o**3 - 5*o. 13*o**3 Collect the terms in 3278*d + 3282*d - 6563*d. -3*d Collect the terms in 0 - 1068*i + 0 + 1. -1068*i + 1 Collect the terms in 77 - 77 - 107*i. -107*i Collect the terms in -109 + 109 + 3*s. 3*s Collect the terms in -5 - 1 + 78*p**2 - 89*p**2. -11*p**2 - 6 Collect the terms in 27 - 7*i**3 - 27 - i**3. -8*i**3 Collect the terms in 1 - 1 + 71*d**3 - 573*d**3. -502*d**3 Collect the terms in -15*d + 15*d + 19*d**3 - 17*d**3. 2*d**3 Collect the terms in 4*m + 15*m - 2*m. 17*m Collect the terms in -21632*n - 3*n**3 + 3 - 2*n**3 + 21632*n. -5*n**3 + 3 Collect the terms in 170*g**2 - 335*g**2 + 3*g**3 + 165*g**2. 3*g**3 Collect the terms in 0 + 0 - 44*l**2 + 35*l**2. -9*l**2 Collect the terms in -10*m + 7*m - 2*m - 13*m. -18*m Collect the terms in 4*i + 2*i + 32 - 5*i. i + 32 Collect the terms in 755*v - 1514*v + 757*v. -2*v Collect the terms in 774*l**2 - 1542*l**2 + 770*l**2. 2*l**2 Collect the terms in -4*i**2 - 3*i**2 + 4*i**2. -3*i**2 Collect the terms in 5*g**2 + 3*g**2 - 2*g**2. 6*g**2 Collect the terms in 32*b - 49*b + 33*b. 16*b Collect the terms in 2*s**2 - s**2 - 4*s**2 - s**2. -4*s**2 Collect the terms in -2454*b**2 - 2*b + 227*b**2 +
{ "pile_set_name": "DM Mathematics" }
m + 190853079? 60*m**3 + 1458*m - 6690 What is the derivative of 93061*g**2 - 49*g - 3603534? 186122*g - 49 Find the third derivative of -12057745*y**3 - 1108*y**2 - 277*y. -72346470 What is the second derivative of -345293787*q**4 - 19931254*q - 19 wrt q? -4143525444*q**2 Find the first derivative of 46231126*k**2 - 81865339. 92462252*k What is the derivative of 739820500*z**2 + 736577351 wrt z? 1479641000*z Find the second derivative of 20504*r*w**2 - 11*r*w - 188312*r - 226*w**3 - 2*w wrt w. 41008*r - 1356*w What is the derivative of -4378056*f**4 + 11358946 wrt f? -17512224*f**3 What is the second derivative of 355*w**3 - 1431*w**2 - 1163*w - 1544 wrt w? 2130*w - 2862 Find the third derivative of -3*k**2*m**3 + 4*k**2*m**2 + 1247*k**2 - 473109*k*m**3 + 10*k*m**2 + 2*m**2 wrt m. -18*k**2 - 2838654*k What is the third derivative of 68*r**5 - 3225*r**4 - 3*r**3 + 205*r**2 + 242*r + 31? 4080*r**2 - 77400*r - 18 What is the third derivative of 184913109*o**6 + 249022320*o**2 wrt o? 22189573080*o**3 What is the second derivative of 2250*s**4 + 2*s**3 - 145*s**2 - 7839535*s? 27000*s**2 + 12*s - 290 Differentiate 57358451*n*v**3 - 10655304*v**3 wrt n. 57358451*v**3 What is the third derivative of -890005822*w**5 - 78079*w**2 - 26*w - 84? -53400349320*w**2 Find the third derivative of -1022*d**4*p**3 - 58943*d**4*p**2 + 5096*d**2*p + 3*d*p**3 - 519*p**2 - p wrt d. -24528*d*p**3 - 1414632*d*p**2 What is the second derivative of -7494052*n**2 + 2*n + 55271 wrt n? -14988104 What is the derivative of -395377829*k + 375399374 wrt k? -395377829 Find the second derivative of 31996532*f**2 + 29305439*f. 63993064 Find the third derivative of -173195500*f**3 - 73*f**2 + 5544*f + 59 wrt f. -1039173000 What is the first derivative of -211181346*c*z - 460102133*c wrt z? -211181346*c Find the third derivative of 33429509*r**3*w**2 - r**3*w - 703*r**2*w**2 - 673*r**2*w - 17*r**2 - 7*r*w + 2*r + 1 wrt r. 200577054*w**2 - 6*w Find the first derivative of -y**2 + 4643370*y + 185541606. -2*y + 4643370 What is the second derivative of -29227452*n**3 - 33037936*n wrt n? -175364712*n Find the second derivative of -g**5 + 8944*g**4 + 1574*g**2 + 4550*g - 3057. -20*g**3 + 107328*g**2 + 3148 What is the third derivative of -239*c**4 - 15616*c**3 - 54*c**2 + 549*c + 5 wrt c? -5736*c - 93696 Differentiate -1491358069*d**2 - 1240057386. -2982716138*d What is the derivative of 228613081*i**4 - 354847604 wrt i? 914452324*i**3 What is the third derivative of 244300061*o**5 - 5*o**2 - 31886421*o wrt o? 14658003660*o**2 What is the derivative of 22452965*i**3 + 9453205? 67358895*i**2 What is the first derivative of -15180227*c**4 - 12681123 wrt c? -60720908*c**3 What is the third derivative of -49027236*j**3 - 86958871*j**2? -294163416 What is the second derivative of 49253*m**3*y - 188*m**3 - 1367114*m*y - 8*m wrt m? 295518*m*y - 1128*m What is the second derivative of 21*g*h**2*r**2 - 2*g*h*r**2 + 68*g*h + 20*g + 741181*h**2*r**2 + 247*h*r**2 - 8*h - r**2 wrt h? 42*g*r**2 + 1482362*r**2 Find the second derivative of 22*c**5 + 11916*c**4*u - 10*c*u - 978*c - 65*u wrt c. 440*c**3 + 142992*c**2*u Differentiate -25929519*k + 245703004. -25929519 Find the second derivative of 5253*g**5 + 385*g**4 - 3*g**2 + 44329153*g wrt g. 105060*g**3 + 4620*g**2 - 6 What is the second derivative of -49739489*x**5 - 40*x + 105410? -994789780*x**3 Differentiate 99668852*u + 137005655. 99668852 What is the second derivative of -22*d*y**3 + 51413*d*y**2 + 14*d*y + 5728750*d - 56*y**2 - y - 2 wrt y? -132*d*y + 102826*d - 112 What is the second derivative of 1563170*l**3 - 1025*l - 911 wrt l? 9379020*l Find the second derivative of 25998765*p**4 + 22*p + 341541. 311985180*p**2 Find the second derivative of 8983319*z**2 - 4804*z - 259 wrt z. 17966638 What is the first derivative of -389121580*l**3 + 123087063? -1167364740*l**2 Find the first derivative of 11968896*k**3 - 4030511 wrt k. 35906688*k**2 Find the third derivative of 280006417*j**3*w**3 - j**2*w**3 + 647*j*w**3 + 2*j*w**2 + j*w + 60*j + 6 wrt j. 1680038502*w**3 What is the third derivative of -50079*x**2*z**3 + 35*x**2*z - 41*x**2 + 264*x*z**2 + 158*z**3 + 2*z**2 wrt z? -300474*x**2 + 948 What is the second derivative of -1551632*b**3*h*k**2 + 4*b**3*h - 14*b**3*k - 3*b**2*h*k**2 - 5*b**2*h*k + 14*b*h*k - b*k - b - 2*k wrt k? -3103264*b**3*h - 6*b**2*h What is the third derivative of -60*p**6 + 2120*p**4 + p**3 + 2*p**2 + p + 552307? -7200*p**3 + 50880*p + 6 Find the third derivative of 68546683*p**3 - 16*p**2 - 48*p + 6331. 411280098 What is the third derivative of 4*c*s**6 + 2697522*c*s**4 + 11*c*s**2 + 3*c*s - 8*c + 1108*s**2 - 1 wrt s? 480*c*s**3 + 64740528*c*s What is the first derivative of -6*a**3 - a**2 - 1057613*a - 137762471 wrt a? -18*a**2 - 2*a - 1057613 What is the third derivative of 14650214*a**3 + 10548977*a**2? 87901284 Find the second derivative of -161344674*k**2*o**2*z + k**2*o**2 + 18*k*o**2*z - 94127*k*o + 3*o**2*z wrt k. -322689348*o**2*z + 2*o**2 Find the first derivative of 8209771*s + 606766. 8209771 Find the third derivative of 11*g**2*w**3 + 3*g**2*w**2 - 460558*g**2*w - g**2 + 872584*w**3 wrt w. 66*g**2 + 5235504 Differentiate 274042940*y - 365346990 wrt y. 274042940 Differentiate -12473024*v**4 - 2*v**2 - 4275982. -49892096*v**3 - 4*v Find the first derivative of -2739341*k**2 + 3*k*t + 4657208*t + 1 wrt k. -5478682*k + 3*t Differentiate -4*o**4 - 17902508*o - 3961900 with respect to o. -16*o**3 - 17902508 Find the third derivative of -204924*q**5 - 1308*q**4 + 52*q**2 + 2*q + 52641 wrt q. -12295440*q**2 - 31392*q Find the third derivative of -985011*i*k**4 + 67825*i*k**2 - 283*k**4 - 1671*k wrt k. -23640264*i*k - 6792*k What is the first derivative of -311033*g*x + 722469362*g - 173*x wrt x? -311033*g - 173 Find the third derivative of -40946621*a**3 + 34173*a**2 - 24 wrt a. -245679726 What is the second derivative of -4537*a*t**2 - 927*a*t - 69*a + 8377*t**2 + 119*t wrt t? -9074*a + 16754 Differentiate 44*f**2*l - 447*f**2 + 49*f - 15483*l + 555 wrt f. 88*f*l - 894*f + 49 Find the second derivative of -9*h*q**3 + 226179*h*q**2 - 3876*h*q - 14*h - 203 wrt q. -54*h*q + 452358*h Find the second derivative of -37569745*o**5 + 64425*o - 164. -751394900*o**3 Find the second derivative of 18*w**4 + 3*w**3 - 4316659*w**2 + 218902116*w wrt w. 216*w**2 + 18*w - 8633318 What is the second derivative of -88390240*y**2 - 85180521*y wrt y? -176780480 Differentiate -24533681*w + 113505066. -24533681 Find the third derivative of -84*j**4 + 252138*j**3 + 815031337*j**2. -2016*j + 1512828 What is the derivative of 2781943*u**2 + 543686192 wrt u? 5563886*u What is the third derivative of 2989*i**3*t - 205*i**3 - 1891*i**2*t - 3627*t wrt i? 17934*t - 1230 Find the second derivative of 5138611*r**3 + 5*r**2 + 11678327*r. 30831666*r + 10 What is the second derivative of -276*a**4 - 44*a**3 + 186*a**2 + 171243646*a wrt a? -3312*a**2 - 264*a + 372 What is the third derivative of 17455193*y**4 + 18968*y**2 - 97*y wrt y? 418924632*y Differentiate -d*f**2*x + 5707010*d*f**2 - 3856*f**2*x + 14*x with respect to x. -d*f**2 - 3856*f**2 + 14 Find the second derivative of 9*k*t**4 - 3*k*t - 3*k + 951652*t**4 - 354268*t wrt t. 108*k*t**2 + 11419824*t**2 What is the derivative of a*m**2 + 385069*a*m + 202835*m**2 - m - 3 wrt a? m**2 + 385069*m Find the third derivative of 1398443847*r*t**5 - 67*r*t**2 + 3589434*r wrt t. 83906630820*r*t**2 What is the third derivative of 10560945*o*v**3 - 2168*o*v**2 + 239*o + 3*v**2 wrt v? 63365670*o What is the third derivative of -212036*r**5 - 33*r**3 - 579578*r**2 + 74*r wrt r? -12722160*r**2 - 198 Find the third derivative of -41354324*a**5 + 2*a**4 + 6*a**3 - 151640707*a**2. -2481259440*a**2 + 48*a + 36 What is the third derivative of -141*u**5 - 14294*u**4*z - 229*u**2*z - 68*u**2 - 55*u*z wrt u? -8460*u**2 - 343056*u*z Find the second derivative of 15762264*n**2 + 1134*n + 1037. 31524528 What is the second derivative of -513293523*x**2 - 14405174*x + 1 wrt x? -1026587046 Find the first derivative of -56429*u**2 - 79*u + 40049713. -112858*u - 79 What is the second derivative of 24725247*q**4 - 42600642*q wrt q? 296702964*q**2 Find the first derivative of -8748407*i**2 + 6942998 wrt i. -17496814*i Dif
{ "pile_set_name": "DM Mathematics" }
te m(-44). 482 Let g(k) = 86164*k + 947802. Determine g(-11). -2 Let r(m) = -17*m**2 - 730*m - 7888. Calculate r(-21). -55 Let u(o) = -69*o**2 - 2694*o + 121. Determine u(-39). 238 Let u(j) = 2*j**3 + 1575*j**2 - 17502*j + 6. Calculate u(11). 721 Let g(p) = -16596*p + 663692. Determine g(40). -148 Let y(h) = h**2 + 2085*h + 99730. Calculate y(-49). -34 Let v(o) = 85*o + 25995. Calculate v(-306). -15 Let w(d) = 4*d**2 + 269*d + 372. What is w(-18)? -3174 Let m(o) = 17*o**2 + 7358*o - 1312. Determine m(-433). -13 Let v(i) = 2*i**3 - 82*i**2 - 221*i + 84. Calculate v(-3). -45 Let o(l) = 55733*l - 111459. Determine o(2). 7 Let m(p) = -946*p**2 - 59*p - 3. Give m(-2). -3669 Let d(z) = z**3 + 1063*z**2 + 812*z - 265509. Give d(-1062). -9 Let b(k) = -3*k**2 + 89*k - 360. Determine b(9). 198 Let k(x) = 2196*x - 568770. What is k(259)? -6 Let s(q) = -4970*q + 79524. Calculate s(16). 4 Let q(l) = -14*l**2 + 6174*l + 82635. Determine q(-13). 7 Let b(r) = 3*r**3 - 88*r**2 - 421*r + 29. Calculate b(-5). -441 Let g(i) = 2*i**3 - 35*i**2 - 706*i + 12073. Determine g(16). 9 Let k(u) = 3*u**2 + 6508*u + 32431. Give k(-5). -34 Let g(x) = -54*x**2 - 2038*x - 3400. Determine g(-36). -16 Let j(x) = 2*x**3 - 74*x**2 + 18*x - 1439. Calculate j(39). 5347 Let f(k) = -k**3 - 1467*k**2 - 3271*k - 672. Determine f(-2). 10 Let f(w) = -59615*w + 536532. What is f(9)? -3 Let p(q) = -1378*q - 5645. What is p(-4)? -133 Let w(l) = -664*l - 9446. Give w(-15). 514 Let w(b) = 63*b**3 - b**2 - 145*b + 446. Determine w(3). 1703 Let u(t) = -110903*t + 664881. Determine u(6). -537 Let b(j) = -160*j - 5759. What is b(-32)? -639 Let d(j) = -28*j**2 - 164*j + 27. Calculate d(-6). 3 Let z(i) = 22*i**2 + 239*i - 963. What is z(-15)? 402 Let d(s) = -28938*s + 1041751. What is d(36)? -17 Let g(u) = -223*u - 16263. Calculate g(-73). 16 Let f(y) = y**3 - 210*y**2 - 2389*y + 416578. What is f(212)? -2 Let o(n) = 22742*n + 45289. Give o(-2). -195 Let h(m) = -2*m**3 + 38*m**2 + 72*m - 1436. Give h(18). 508 Let t(h) = 14*h**2 - 278*h + 99. Give t(19). -129 Let u(r) = -436711*r + 3056984. Give u(7). 7 Let x(y) = 299*y - 3618. Calculate x(11). -329 Let s(z) = z**2 + 2018*z + 370032. What is s(-204)? -24 Let f(i) = i**2 - 23625*i + 7641422. What is f(328)? 6 Let t(h) = -58092*h + 8365240. Give t(144). -8 Let j(t) = -3*t**2 + 269*t - 1166. Calculate j(81). 940 Let l(j) = 62810*j + 502485. Calculate l(-8). 5 Let s(f) = -21*f**3 - f**2 + 2*f + 30. Calculate s(-3). 582 Let p(n) = 722*n + 16170. Calculate p(-22). 286 Let i(j) = 462806*j - 462701. Give i(1). 105 Let z(j) = -2631*j + 323613. Calculate z(123). 0 Let k(u) = -51*u**3 - 1987*u**2 + 114*u + 1390. What is k(-39)? -14 Let m(w) = -13*w**2 + 7039*w + 119972. Determine m(558). 2 Let i(m) = -m**2 + 953*m - 34043. Give i(37). -151 Let x(g) = -g**3 + 7*g**2 - 187*g + 1034. Determine x(6). -52 Let w(g) = 53*g**3 - 25*g**2 - 11*g + 19. Calculate w(2). 321 Let o(x) = x**2 + 4061*x - 614224. Calculate o(146). -2 Let i(k) = -659*k + 7279. Determine i(11). 30 Let u(m) = -113*m**2 + 638*m + 3. What is u(6)? -237 Let z(m) = m**3 - 33*m**2 + 1991*m - 68842. Calculate z(34). 8 Let n(t) = 7314*t - 51329. What is n(7)? -131 Let m(s) = -4840*s + 580895. Calculate m(120). 95 Let o(a) = -62013*a - 2728583. Determine o(-44). -11 Let y(b) = 6*b**3 - 283*b**2 + 335*b - 630. Determine y(46). -32 Let i(s) = 6080*s + 12763. Determine i(-2). 603 Let d(n) = -n**2 - 7*n + 10407. Give d(-104). 319 Let p(h) = -3*h**3 + 467*h**2 - 534*h + 35404. Determine p(155). 684 Let r(n) = -8*n**2 - 711*n + 192. Give r(-89). 103 Let x(u) = 40255*u - 201301. Calculate x(5). -26 Let j(s) = -s**2 - 84410*s + 1519716. Determine j(18). 12 Let n(k) = k**2 - 478*k + 2914. What is n(6)? 82 Let a(k) = -11509*k + 1208506. Calculate a(105). 61 Let k(v) = 12*v**3 + 11*v**2 - 342*v - 64. Calculate k(5). 1 Let t(i) = -10*i**2 + 503*i - 416. What is t(50)? -266 Let c(p) = 34651*p + 277275. Give c(-8). 67 Let c(g) = -4325*g**2 - 8657*g - 10. Determine c(-2). 4 Let h(n) = -n**3 + 16*n**2 - 45*n + 767. Calculate h(16). 47 Let o(b) = 916*b - 567923. Give o(620). -3 Let h(u) = -1385*u + 5662. Give h(3). 1507 Let k(u) = 7*u**2 + 180*u - 1678. Give k(-33). 5 Let v(x) = 2*x**2 + 40711*x + 203499. Calculate v(-5). -6 Let c(b) = -b**3 - 69*b**2 - 893*b - 488. Determine c(-52). -20 Let d(y) = 570*y + 25194. Calculate d(-44). 114 Let s(h) = -h**2 - 520210*h + 6242667. What is s(12)? 3 Let s(k) = 226563*k + 1359363. Determine s(-6). -15 Let i(f) = -f**3 + 21*f**2 - f + 698. Give i(21). 677 Let w(q) = -2*q**2 + 156*q + 2995. Calculate w(-16). -13 Let x(v) = -17*v**2 - 531*v - 2960. Give x(-24). -8 Let m(p) = -1459*p + 8766. Calculate m(6). 12 Let u(r) = -24*r**2 + 1777*r + 664. What is u(73)? 2489 Let x(d) = d**2 + 16226*d + 6021465. Determine x(-380). -15 Let a(m) = -m**2 - 185*m - 8545. Give a(-88). -9 Let d(h) = -24*h**3 + 100*h**2 - 731*h + 2895. What is d(4)? 35 Let t(w) = -2*w**3 + 52*w**2 - 387*w + 55. Determine t(6). -827 Let m(y) = -3*y**2 + 6512*y + 1690724. Calculate m(2405). 9 Let x(o) = -9*o**3 - 710*o**2 + 55*o - 1903. Give x(-79). -7 Let c(z) = 7*z**2 - 24360*z - 24355. Calculate c(-1). 12 Let c(x) = -6628*x + 39774. What is c(6)? 6 Let n(g) = -g**3 + 235*g**2 - 2236*g - 160. What is n(10)? -20 Let i(t) = 276*t - 868. Determine i(-6). -2524 Let x(i) = 6*i**3 + 15*i**2 + 59*i - 3. Determine x(-3). -207 Let p(t) = -1320*t - 282482. Give p(-214). -2 Let o(q) = -1995*q + 682284. What is o(342)? -6 Let f(w) = w**3 - 15*w**2 - 80*w - 30. What is f(0)? -30 Let b(q) = -1966*q + 114257. Calculate b(58). 229 Let w(h) = h**3 - 131*h**2 - 24*h + 3250. Determine w(131). 106 Let k(m) = -21*m**2 - 12565*m + 75357. What is k(6)? -789 Let b(y) = -8*y**3 + 135*y**2 - 659*y - 6. Calculate b(5). -926 Let p(d) = d**3 - 752*d**2 - 30015*d + 143. Determine p(-38). -47 Let x(v) = v**3 + 13*v**2 + 2585*v + 36448. What is x(-14)? 62 Let y(a) = -141212*a + 423652. What is y(3)? 16 Let m(d) = 5*d**2 - 220*d + 2189. Determine m(43). 1974 Let j(b) = 26*b**2 + 2003*b + 37789. What is j(-33)? 4 Let f(t) = 1581*t - 32328. What is f(20)? -708 Let i(t) = 3*t**2 - 2228*t - 3048919. What is i(-703)? -8 Let m(o) = 16*o**3 + 3*o**2 - 127*o + 357. What is m(6)? 3159 Let k(z) = 10*z**2 + 203*z + 1423. Determine k(-7). 492 Let p(y) = -12201*y + 73339. Calculate p(6). 133 Let g(t) = t**2 + 1567*t - 15760. Determine g(10). 10 Let l(m) = m**3 - 120*m**2 + 987*m - 10181. Determine l(112). 11 Let p(g) = 32*g**3 + 73*g**2 + 142*g + 294. Calculate p(-2). 46 Let g(v) = -103*v + 1961. Determine g(19). 4 Let k(b) = 3*b**2 - 281*b - 83210. Determine k(-126). -176 Let w(p) = 15*p - 597. Give w(38). -27 Let s(i) = -3*i**2 + 419*i + 3950. What is s(-9)? -64 Let q(i) = 366*i + 3264. Give q(-9). -30 Let b(d) = -15*d**2 + 220*d + 12. Calculate b(11). 617 Let d(f) = 3628*f + 1110152. Determine d(-306). -16 Let p(m) = 170*m + 10981. Calculate p(-62). 441 Let d(z) = 21078*z - 106294. What is d(5)? -904 Let f(y) = 27*y**2 + 84*y - 552. Calculate f(7). 1359 Let p(u) = -57*u**2 - 65*u + 131. What is p(2)? -227 Let v(j) = 15*j**3 + 3570*j**2 - 189*j - 44978. What is v(-238)? 4 Let i(c) = 4*c**3 - 287*c**2 + 38*c - 8387. What is i(72)? -467 Let h(n) = -123*n**2 + 9*n - 53. Calculate h(3). -1133 Let m(v) = -73*v**2 - 604*v - 1757. What is m(-3)? -602 Let n(q) = 34*q**2 + 509*q + 882. Calculate n(-2). 0 Let k(y) = y**3 - 4*y**2 + 65576*y - 196724. What is k(3)? -5 Let p(n) = n**3 - 56*n**2 + 406*n + 329. Determine p(48). 1385 Let p(m) = -986*m - 12627. Determine p(-13). 191 Let y(f) = 6*f**3 - 64*f**2 + 162*f - 1223. Give y(10). -3 Let i(g) = -2*g**3 + 417*g**2 + 163*g + 9624. What is i(209)? 10 Let f(c) = 6*c**2 - 372*c + 1059. What is f(3)? -3 Let u(q) = 640603*q - 640597. Give u(1). 6 Let k(q) = -q**2 + 2311*q + 30232. Give k(-13). 20 Let h(y) = y**2 + 792*y - 7207. Give h(-801). 2 Let n(h) = 3*h**3 + 5*h**2 + 39*h - 16. What is n(6)? 1046 Let b(l) = -258*l - 6531. Give b(-20). -1371 Let a(h) = -2952*h**2 + 14779*h - 9. What is a(5)? 86 Let v(s) = s**3 - 1488*s**2 + 80285*s - 133179. Calculate v(1432). -3 Let r(l) = 20*l**3 - 4517*l**2 + 377*l - 238424. Calculate r(226). 6 Let y(g) = -13214*g + 2404947. Calculate y(182). -1 Let f(t) = 5599*t - 470555. What is f(84
{ "pile_set_name": "DM Mathematics" }
(-4)/(-6))/((-216)/(-1782)). 1/2 What is the value of ((-9)/(-45)*-5)/(-19)? 1/19 2/4*-2 + 1*-4 -5 What is (-11 - (-520)/50)/((-2)/20)? 6 What is the value of -4 - 3 - -7 - -4? 4 What is the value of ((-84)/(-119))/(-6) + 74/(-238)? -3/7 Evaluate 10/(-2) - (-8 - (0 - 4)). -1 Calculate 0 - 6/4*(2 - 0). -3 Evaluate (-3)/12*24/18. -1/3 What is 2/10 - 3168/(-360)? 9 Evaluate 2/(3/3)*1/(-7). -2/7 Calculate ((-4)/(80/(-15)))/3. 1/4 What is the value of (12/15)/((-108)/(-81))? 3/5 Evaluate (13/(-39))/(56/(-42)). 1/4 6/(-15)*(-150)/(-45) -4/3 What is 20/(-150)*-5 - (-16)/(-42)? 2/7 Evaluate -10 + 885/90 - 43/(-6). 7 What is 2/2 - ((-96)/(-20) + -4)? 1/5 Evaluate 8 - ((-664)/(-48) + -6). 1/6 What is -265*(-9)/180 - 13? 1/4 Evaluate ((-539)/55 - -9)*-10. 8 Calculate -7 - -5 - -24*2/22. 2/11 Evaluate 1*(1 - 0) + 13 + -7. 7 What is (0/(-28))/(0 - -2)? 0 What is the value of (93/155)/(6/40)? 4 (-9 - 0)*(-2 - 69/(-36)) 3/4 Calculate -5 - (92/14)/((-297)/231). 1/9 What is 4 - (8 + 774/(-189))? 2/21 ((-46)/(-8) - 6)*(-2 - 2) 1 What is ((-34)/30 + 1)*1005/(-670)? 1/5 Evaluate (5/((-45)/(-2)))/((-36)/18). -1/9 What is the value of (-126)/252 - (-1)/(-4)*-2? 0 (1 - 3)*7/(560/12) -3/10 What is 0 + 0 + 32/8? 4 What is the value of (-56)/10 - 18/45? -6 Calculate -6 + -3 - (0 - 14). 5 Evaluate 2/(-17) + (1905/(-425) - -5). 2/5 Evaluate -1*((-16)/1)/4. 4 What is the value of (4/3)/(11/(-33))? -4 What is the value of -1*(-5)/(-20)*-20? 5 1/(-20) - 2/(-8) 1/5 What is (10/45)/(2/(-3) + 0)? -1/3 Evaluate 8/12 - (-3 - -3 - -1). -1/3 Evaluate (19/2)/(145/58) - 4. -1/5 (4/(-3))/((-8)/(-12)) -2 What is the value of ((-2)/3)/(34/(-102))? 2 Evaluate (-24)/4 + (-540)/(-63) + -3. -3/7 What is (-2)/(-5*((-52)/(-30))/13)? 3 What is ((-6)/(-54))/(230/60 + -4)? -2/3 What is the value of 5*1/(-75)*6? -2/5 Evaluate 6/(-45) + (-348)/90. -4 Evaluate -9 + 6 - 20/(-4). 2 What is the value of ((-18)/(-27))/(1 + (-11)/6)? -4/5 What is 4/(-9)*(-9)/2? 2 What is the value of 6 + 2 - (-2430)/(-315)? 2/7 Evaluate (-144)/(-352) - 2/4. -1/11 Evaluate (-15)/4*(-2 - -11)/(-27). 5/4 Calculate (-708)/(-590)*(-2)/(-3). 4/5 What is the value of ((-144)/10)/(-8) + (-2 - -1)? 4/5 Evaluate (33/(-33))/((-2)/12). 6 What is 91/(-56)*2 + (-4)/(-2)? -5/4 What is the value of -1 + 72/56 - (-2)/(-7)? 0 What is the value of 15/125*(-15)/(-18)? 1/10 Evaluate (-1)/(8/(5 + 3)). -1 What is (-390)/(-20) + -11 + -7? 3/2 (4/32)/((-1)/(-2)) 1/4 Calculate (0/(-2))/((-12)/6). 0 Evaluate 39/(-52) - (-2)/(8/19). 4 Evaluate 30/(-9) - -5 - 2/1. -1/3 4/20 + 28/10 + -1 2 What is the value of (5/(-15))/((-4)/48)? 4 (-1)/10*2/(-6)*5 1/6 What is 2/9 + (-4)/(-36)? 1/3 Evaluate 140/56*32/10. 8 Calculate (-6)/(7/(-14)*12). 1 Calculate 1 - 10 - (-2666)/310. -2/5 5 + (0 + (-6)/12)*14 -2 What is the value of ((-13)/(-273))/(2/(-12))? -2/7 What is the value of (2/(-7))/(5/(-10)*-1)? -4/7 What is 2*2 + (-3 - (13 - 9))? -3 What is (-3 + 2 - -3) + -4? -2 What is ((-2)/(-5))/(25/(-125))? -2 What is (-2)/57 + 1580/12540? 1/11 (-12)/(-30) - 19/180*3 1/12 Evaluate (-7 - (-246)/36) + 2/(-12). -1/3 Calculate 8/32 + (-34)/40. -3/5 29/(-4) + (-486)/(-216) -5 What is the value of (-9)/(-24) - (-7020)/(-9504)? -4/11 (-9)/(-10)*((-153)/(-27) - 4) 3/2 Calculate -1*2 - (6 - 161/21). -1/3 What is the value of (-5)/26*24/(-30)? 2/13 Calculate 5/((-5)/((-20)/4)). 5 ((-1)/2 + -3 - -3)/1 -1/2 Calculate 22/(-5) - 2/(-5). -4 1 + -1*1 + (-284)/(-710) 2/5 What is ((-17)/(510/12))/1? -2/5 (-10)/6 - (158/(-30) - -3) 3/5 318/(-424) - (-2)/4 -1/4 What is the value of (3 + (-36)/8)/(12/(-16))? 2 Evaluate ((-6)/(-4) + 1)/((-11)/22). -5 Evaluate 18/(-5) - (54/18 - 6). -3/5 What is (-1677)/273 + (-1)/(-7)? -6 Calculate 28/154 + 6/22*3. 1 What is the value of -3 + (18/4 - 0)? 3/2 What is 3*-2*(-8)/(-16) - 3? -6 Calculate (10/(-6) + 288/108)*5. 5 (-2)/39 + (-14445)/26325 -3/5 Calculate -5 - (-9 - 5 - -6). 3 Calculate (-28)/(-16) - (-39)/(-52). 1 What is (9 + 38/(-4))/((-3)/(-3))? -1/2 -1 - 132/121*9/(-12) -2/11 What is the value of 242/(-132) - (-1)/3? -3/2 What is 2*((-28)/(-8) + -4)*-3? 3 Calculate (-2)/(-6)*(-156)/(-52). 1 What is (3/(-12))/(20/(-6) - -3)? 3/4 ((-624)/306 - -2)/((-2)/6) 2/17 Calculate 51/102 + (-2)/4. 0 What is the value of (-8 - -6)/((1/(-3))/1)? 6 Evaluate (95/(-342))/((-15)/(-12)). -2/9 Evaluate (6 - 189/24) + 2. 1/8 3/(-2) - -1 - 171/(-38) 4 Evaluate (105/84)/((-2)/8). -5 Calculate ((-99)/21 + 5)*7/(-4). -1/2 (-12)/(-30) + 0 + (0 - 0) 2/5 What is the value of (1 - (-11 - -11))/(1 + 0)? 1 Evaluate 5/60*39 - 3. 1/4 What is the value of 4/6 - (-7)/21? 1 (5/(-6))/((-4)/(-8)) -5/3 What is the value of -4 + 126/(-31) + (-168)/(-21)? -2/31 What is the value of 5 - -5*4/(-5)? 1 What is the value of (72/540)/(4/(-5)) + 0? -1/6 Evaluate 1 + -7 - (-7 + (-169)/(-195)). 2/15 What is the value of 8/(-22)*(-3)/6? 2/11 What is -4*((-2)/(-4))/((-4)/12)? 6 (-9)/(-108)*107 + -9 -1/12 What is (-1 + (-143)/(-26))*(-2)/(-6)? 3/2 3/(-2)*(133/(-21) + 6) 1/2 (9/2 - 4)*(-34)/187 -1/11 Calculate (-75)/30 - 2/(-4). -2 What is 0 + -10 + 901/106? -3/2 What is the value of 272/(-72) - (-4)/1? 2/9 What is the value of 87/145 - ((-12)/5 + 0)? 3 Evaluate (-1*9/6)/((-95)/(-38)). -3/5 ((-1)/3*-2)/(13/(-39)) -2 Calculate (1944/(-330))/(-6) + 4/(-5). 2/11 Evaluate (12/9*(-1)/2)/(-2). 1/3 Evaluate 9/3 + (-70)/22. -2/11 What is the value of 17/(1224/(-60))*1/(-5)? 1/6 2/(-1) + (-32)/(-12) 2/3 What is (-12)/(-16)*(-6)/9*1? -1/2 (-6)/20 + (-38)/190 -1/2 What is the value of ((-1)/((-15)/(-2)))/(1/3)? -2/5 Calculate (24/(-16))/(3*(-1)/(-8)). -4 Evaluate (186/620)/(-2 - 2/(-10)). -1/6 Calculate (-14)/70 + (-1)/(-15). -2/15 What is the value of (140/(-42))/(-1 - (-20)/12)? -5 Evaluate (-18)/5 + 16/10. -2 What is the value of -1*(0 + -3 - (2 - 8))? -3 What is the value of 28/(-11) + (-24)/(-12)? -6/11 What is (1 - -1)*(-3 + 66/21)? 2/7 What is (16/(-3))/(-2)*9/6? 4 What is the value of (-3 + 7/3)*(-3)/1? 2 What is the value of 22/253 - 1/(23/(-136))? 6 What is the value of -10*(-1)/(-9 + 11)? 5 What is the value of -1 - (96/(-10))/8? 1/5 What is the value of -8 + 12/264*178? 1/11 Calculate ((-1)/5)/(840/75 - 12). 1/4 -1 + 5 + 14 + -14 4 Calculate (-3 + 1)*2 - 0/(-152). -4 Calculate 3/((-441)/6*(-6)/14). 2/21 Calculate (-969)/(-3060) + (-1)/(-12). 2/5 Calculate (-2 - (-1)/2)*4/45. -2/15 ((4/7)/2)/(57/(-1197)) -6 What is -1*2/4 + (-2)/4? -1 Evaluate (-10 + 11)*-1*(-1)/(-6). -1/6 2/(-11 + 0 + 7) -1/2 What is 8/((-48)/9)*-2? 3 (-207)/46*4/42 -3/7 Calculate 12/(-165)*(105/(-10) - -3). 6/11 Calculate ((-1)/4)/((-340)/(-160) - 3). 2/7 Calculate ((-13)/(312/64))/(4/(-6)). 4 Evaluate 4 - 9/((-36)/(-10)). 3/2 Calculate 1/((-3)/(-10)) - 4. -2/3 Evaluate (-64)/(-160)*(-30)/28. -3/7 What is 9/4 + (-12)/48? 2 What is the value of (31 + -29)*1/(-5)? -2/5 (-4 - (-5 + -1))/((-1)/2) -4 -5 - (-19 - -12) - (3 - 5) 4 What is the value of ((-22)/66)/(0 - -1)? -1/3 (-6)/((2/(-12))/((-3)/27)) -4 Calculate (-10)/36*(-117)/(-195). -1/6 Calculate 4588/496 - (-10)/(-8). 8 What is the value of (-8 - -8)/(-4 - -9)? 0 Evaluate (1 - 21/(-15))*10/(-4). -6 Calculate (-12)/((0 + -24)/8). 4 (-417)/54 + 8 + 1/(-2) -2/9 What is the value of 7*(-2 - (-90)/35)? 4 (18/80)/(2/(50/15)) 3/8 What is the value of 2 - 3 - 1 - (5 + -1)? -6 What is (0/1)/((-4)/(-12)*-6)? 0 ((-72)/84)/((-6)/(-21)) -3 What is the value of (-2)/6*(-1 + (2 - -1))? -2/3 1/(-7)*((1 - -6) + -4) -3/7 Evaluate (54/12 - (3 + -2))*-2. -7 (-13)/156 + (-9)/(-12) 2/3 What is (-7 - -7)*(-2)/(-14)? 0 What is 3/((-210)/(-13)) + 14/(-49)? -1/10 Calculate -11 + 9/(9/4) - -6. -1 (-3)/3*(-3 - 0) 3 What is the value of 82/20 + (-4 - 0)? 1/10 1*8/(-4) - (-33 - -39) -8 What is the value of 49/(-14)*12/(-21)? 2 What is the value of ((-4)/(-6))/(53/3 - 21)? -1/5 Calculate -4 + 3 + 0 - -1. 0 (7 - 6 - -4) + -4 1 What is the value of 136/(-42) + 4 - (-1)/(-3)? 3/7 (1 - 5)/((-8 - -3)/(-5)) -4 Calculate 1/(((-3)/(-9))/1). 3 What is 1 + 12/((-20)/(-5))? 4 What is the value of (-16)/36*3/6? -2/9 (((-28)/(-32))/(-7))/(6/(-48)) 1 765/105 - 2/7 7 9/12 + (-18)/56 3/7 Evaluate 2 - (-2 - 25/(-5)). -1 (-12)/32*2/3 -1/4 What is (-82)/12 + -5*(-10)/(-300)? -7 2/(-3)*-3 + 136/68 4 What is the value of 16/72 + 4/(-18)? 0 What is the value of (-9)/(-20)*(242/33)/11? 3/10 (0 - (-2)/5)/((-798)/570) -2
{ "pile_set_name": "DM Mathematics" }
e third derivative of -202*h**5 - 2*h**2 - 133 wrt h. -12120*h**2 What is the derivative of -a**4 - 570*a**3 + 3781? -4*a**3 - 1710*a**2 Find the second derivative of -220*x**4 - 172*x - 1. -2640*x**2 Find the second derivative of 30*w**4 + 3*w**3 - 21*w**2 - w - 273 wrt w. 360*w**2 + 18*w - 42 Differentiate 3*f*g**3*z + 4*f*z**2 + 3*g**3*z**2 + g**3 + 8*g**2*z**2 with respect to f. 3*g**3*z + 4*z**2 What is the third derivative of -2583*g**4 - 59*g**2 - 8*g wrt g? -61992*g Find the third derivative of -6980*w**4 + 1533*w**2 - 1. -167520*w What is the third derivative of -9*p**6 - 81*p**4 + 4*p**2 - 485*p wrt p? -1080*p**3 - 1944*p Find the third derivative of 3658*y**3 + 4939*y**2 wrt y. 21948 Find the third derivative of -60*l**4 + 60*l**2 - 4*l. -1440*l What is the second derivative of 195*n**3 + 434*n? 1170*n What is the first derivative of c**2*g*u**3 + 95*c**2*u**3 - 2*c**2 + 5*c*g*u**3 - 2*g*u**3 wrt g? c**2*u**3 + 5*c*u**3 - 2*u**3 Differentiate -5*c*j + 1305*c + 2*j**4 - 49*j wrt j. -5*c + 8*j**3 - 49 What is the third derivative of 227*r*x**3 + 5*r*x**2 + 36*r*x + 7*x**3 + 4*x wrt x? 1362*r + 42 Differentiate -24*b*j*q - 181*b*q**2*u + 25*j*q**2*u + 14*j*q + 20*q**2*u wrt b. -24*j*q - 181*q**2*u What is the first derivative of -n**3*u**2 + 37*n**3 - 37*n**2*u**4 wrt u? -2*n**3*u - 148*n**2*u**3 Find the second derivative of -43*j**4 - 142*j. -516*j**2 Find the second derivative of 3*t**2*v*y + 20*t**2*v + 9*t**2 - 136*t*v*y + 2*t*v + 4*t + v*y wrt t. 6*v*y + 40*v + 18 Differentiate -14*h*k**3 + 2*h*k*q + 29*h*q + 91*k**3 + 139*k*q with respect to h. -14*k**3 + 2*k*q + 29*q Find the third derivative of -3*g**5 + 23*g**4 + 238*g**2 + 2*g wrt g. -180*g**2 + 552*g What is the second derivative of 143*m**3*q**4 + 2*m**3*q - 3*m**2*q - m*q**4 + 7*m wrt q? 1716*m**3*q**2 - 12*m*q**2 Find the third derivative of -880*f**3 - 20*f**2 + 2*f wrt f. -5280 Find the first derivative of 2*c**3*z**2 + 12*c**2*z**2 + 39*c + z**2 + 150*z wrt c. 6*c**2*z**2 + 24*c*z**2 + 39 What is the second derivative of -275*y**2 - 615*y? -550 Find the third derivative of -12331*v**5 + 11*v**2 - 508*v wrt v. -739860*v**2 Differentiate -242*l*x**2 - 2*l*x - 89*x**2 wrt l. -242*x**2 - 2*x What is the second derivative of 10133*y**5 - 3*y - 89? 202660*y**3 Find the third derivative of -667*k**4 + 2*k**2 - 15*k. -16008*k What is the derivative of -1350*b - 1275 wrt b? -1350 What is the third derivative of -94*g**3*h**3 - 9*g**3*h**2 - 5*g**3 + 3*g + 3*h**3 wrt h? -564*g**3 + 18 Find the second derivative of p**3*v*w - 2*p**3*v - 7*p**3*w**5 - 2*v*w**2 + 4*v*w + w**5 - 1 wrt w. -140*p**3*w**3 - 4*v + 20*w**3 What is the second derivative of -c**2*n**2*t - 2*c**2*n*t**3*z + 13*c**2*t**3 + 23*c**2 - c*n**2*z + 1376*n**2*t**3 wrt n? -2*c**2*t - 2*c*z + 2752*t**3 What is the third derivative of d**4 - 30*d**3 + d**2 - 70*d? 24*d - 180 What is the third derivative of 349*g**3*x + 3*g**3 - 136*g**2*x + 3*g**2 wrt g? 2094*x + 18 What is the third derivative of 370*b**4 + 2*b**3 + 376*b**2 wrt b? 8880*b + 12 What is the second derivative of -163*i**4*z**3 - i**2*z**3 - 232*i*z**3 + i*z wrt i? -1956*i**2*z**3 - 2*z**3 What is the second derivative of 97*g**2*p**3 - 8*g**2*p**2 - 4*g**2*p - 628*g**2 wrt p? 582*g**2*p - 16*g**2 Find the second derivative of 2*g**3 + 565*g**2 + 3*g + 380 wrt g. 12*g + 1130 Find the second derivative of 7*f**2*v**4 + 10*f**2*v**2 + f**2 - 269*f*v - v**3 wrt v. 84*f**2*v**2 + 20*f**2 - 6*v What is the second derivative of -102*l**5*w**2 + l**5 - 22*l*w - l + w**2 wrt l? -2040*l**3*w**2 + 20*l**3 Find the second derivative of -13*t**2*y**2 - 1229*t**2 + 83*t*y**3 + t*y**2 + t*y wrt y. -26*t**2 + 498*t*y + 2*t Differentiate 5*i**2*s**2 + 649*i*s**2 - 8*s**2 - 388 with respect to i. 10*i*s**2 + 649*s**2 Find the second derivative of 2*b**2*o*s + 34*b**2*s**3 - 5*b**2*s**2 - 35*b*o*s**3 + b*o - 7*s**3 wrt b. 4*o*s + 68*s**3 - 10*s**2 What is the first derivative of -25*i**3*m + 2*i**3 - 4*m**2 - 37 wrt m? -25*i**3 - 8*m Find the first derivative of -14*b*t - 216*b - 6*t**3 wrt t. -14*b - 18*t**2 Find the second derivative of 572*k**2 + 16*k + 4 wrt k. 1144 What is the derivative of -6*f*m**2 + 2*f*m + 5*f - 3*m**2 + 2 wrt m? -12*f*m + 2*f - 6*m Find the second derivative of 2*g*t**5 + 102*g*t**3 - g*t**2 + g + 6*t + 122 wrt t. 40*g*t**3 + 612*g*t - 2*g Find the third derivative of -8*l*x**6 - 7*l + 7*x**6 + 26*x**2 wrt x. -960*l*x**3 + 840*x**3 Find the first derivative of 84*m**3*r + 106*m**3 + 2*m**2*r - m**2 - 35*r + 10 wrt r. 84*m**3 + 2*m**2 - 35 What is the third derivative of 4100*w**3 - 2959*w**2 wrt w? 24600 What is the third derivative of b*c*p**2*t - 4*b*c*p**2 + 3*b*c*p - 8*b*p**3*t + 12*c*p**3*t + 2*c*p**2*t - 16*c*p*t + p**3*t wrt p? -48*b*t + 72*c*t + 6*t Find the third derivative of 17*u**2*y**3 - 2*u**2*y + u*y**3 + 205*u*y**2 wrt y. 102*u**2 + 6*u Find the third derivative of -c**4 - 12*c**3 - 32*c**2 - 4. -24*c - 72 What is the third derivative of -50*h**3*t**3 + 185*h**3*t**2 + 3*h**2*t**3 - h**2*t**2 wrt t? -300*h**3 + 18*h**2 What is the second derivative of 5*b**3*k**2*z - 5*b**3*k*z - b**3*k - 6*b**2*k**2*z + 3*b*k*z wrt k? 10*b**3*z - 12*b**2*z What is the derivative of -6*a*d**2*f*x**2 + 8*a*d**2*x**2 + 6*a*d - 139*d**2*f + 13*d**2*x**2 wrt f? -6*a*d**2*x**2 - 139*d**2 What is the third derivative of -4377*h**4 + 51*h**2 + 3*h - 12 wrt h? -105048*h What is the third derivative of 2*q*t**6 + 98*q*t**3 + 374*q + 2*t**2 wrt t? 240*q*t**3 + 588*q Find the first derivative of 2*x**4 - 854*x**2 - 2409 wrt x. 8*x**3 - 1708*x Find the third derivative of o**2*u**3 - 2*o**2*u**2 - 629*o - 57*u**3 wrt u. 6*o**2 - 342 What is the third derivative of -386*h**6*p**3 - 5*h**2*p**3 - h**2*p wrt h? -46320*h**3*p**3 Find the third derivative of -92*p**6*u**2 - 3*p**3*u**3 - p**3 + 22*p**2 + 16*p*u**3 wrt p. -11040*p**3*u**2 - 18*u**3 - 6 What is the second derivative of -3*f*l**3 - 6*f*l + 2*f - 258*l**3 - 2*l**2 - 8*l wrt l? -18*f*l - 1548*l - 4 Differentiate n**2*t - n*t**2 - 4*n*t + 2*n - 3*t**2 - 691*t with respect to n. 2*n*t - t**2 - 4*t + 2 What is the second derivative of 5831*f**5 - 2*f**2*t**2 + 79*f*t + t**2 + 10 wrt f? 116620*f**3 - 4*t**2 What is the second derivative of 3*d**4 - 2*d**3*z - 7*d**2*z**2 - 11232*d*z**2 wrt d? 36*d**2 - 12*d*z - 14*z**2 Find the second derivative of 11*u**4*v + u**2*v + u*v - u wrt u. 132*u**2*v + 2*v Differentiate -155*r**3 + r + 569 with respect to r. -465*r**2 + 1 What is the third derivative of -1602*f**5 - 2*f**4 - f**3 - 177*f**2 + 3*f + 3? -96120*f**2 - 48*f - 6 Differentiate -7358*h - 12503. -7358 What is the third derivative of -1767*v**4 - 1773*v**2 - 2*v? -42408*v What is the third derivative of -t**4 - 2390*t**3 + 107*t**2? -24*t - 14340 Find the third derivative of 375*p**3*r**3 - 18*p**2 + 8*p*r**3 - 4*r**3 wrt p. 2250*r**3 What is the third derivative of -48*h*t**4 + 150*h*t**3 + 41*h*t**2 + 2*h*t + 38*h + 2*t wrt t? -1152*h*t + 900*h What is the second derivative of a**3*w**3 + 14*a**3*w**2 - a**3*w - 58*a**3 - 8*a**2*w wrt w? 6*a**3*w + 28*a**3 Find the third derivative of -7*o**6 - 29*o**5 + 316*o**2 + o wrt o. -840*o**3 - 1740*o**2 Find the first derivative of 85*f + 448. 85 What is the third derivative of -169*s**3 - 126*s**2? -1014 What is the second derivative of 98*i**3*p**3 + i**3*p + 2*i**2*p**5 + 1966*i**2*p wrt p? 588*i**3*p + 40*i**2*p**3 What is the third derivative of l**3*s**3 - 3*l**3 + 6*l**2*s**2 - 5*l*s + 316*s**3 wrt s? 6*l**3 + 1896 What is the third derivative of -2545*j**3*t**2 + j**2 + 6*j*t + 19*t**2 wrt j? -15270*t**2 Find the first derivative of 118*r + 182. 118 What is the second derivative of 2*d**3*y**4 + 112*d**3*y**2 - 27*d**3 + 2*d*y wrt y? 24*d**3*y**2 + 224*d**3 What is the second derivative of -363*o**5 - 4*o**4*w**2 + 36*o*w**2 + 20*w**2 wrt o? -7260*o**3 - 48*o**2*w**2 What is the third derivative of -60*r**4 + 516*r**2? -1440*r What is the second derivative of 7759*i**3 - 6414*i wrt i? 46554*i Differentiate 510*a + 963. 510 Differentiate 10651*t**2 + 17718 with respect to t. 21302*t Find the third derivative of -48*f**3*g**2*k**3 + 5*f**3*q**3 - f**2*g**2*k**2 - 2*f**2*g*k**2*q**3 - 2*f**2*g*q**2 + 2*f*k**3*q wrt f. -288*g**2*k**3 + 30*q**3 Find
{ "pile_set_name": "DM Mathematics" }
many millilitres are there in 3/8 of a litre? 375 How many microseconds are there in seven quarters of a millisecond? 1750 Convert 622051.2 micrometers to kilometers. 0.0006220512 What is 1/30 of a hour in minutes? 2 Convert 7.563125 hours to microseconds. 27227250000 How many millilitres are there in 7/2 of a litre? 3500 Convert 502528.2 milliseconds to seconds. 502.5282 What is 25.60442 microseconds in seconds? 0.00002560442 How many years are there in thirteen quarters of a century? 325 How many grams are there in 23627.31mg? 23.62731 How many millilitres are there in 6/25 of a litre? 240 How many decades are there in seventeen quarters of a millennium? 425 How many millilitres are there in one quarter of a litre? 250 How many kilometers are there in 93380.98cm? 0.9338098 What is 603.78493 days in weeks? 86.25499 What is 75.63783 micrograms in nanograms? 75637.83 How many meters are there in twenty-five halves of a kilometer? 12500 Convert 840745.7 nanograms to milligrams. 0.8407457 What is 252.15765 months in years? 21.0131375 What is thirteen quarters of a meter in centimeters? 325 What is 4.332717t in kilograms? 4332.717 How many micrometers are there in 0.3103905cm? 3103.905 How many milligrams are there in 6/5 of a gram? 1200 How many centimeters are there in 1653.869 kilometers? 165386900 How many seconds are there in 32/9 of a hour? 12800 Convert 1712.9334 milliseconds to minutes. 0.02854889 How many years are there in 1005.181 centuries? 100518.1 What is thirteen fifths of a gram in milligrams? 2600 How many grams are there in 61.96145 kilograms? 61961.45 What is 6/25 of a minute in milliseconds? 14400 What is 9836.276nm in micrometers? 9.836276 How many years are there in 2513.957 centuries? 251395.7 What is seventy-six fifths of a tonne in kilograms? 15200 How many millilitres are there in three fifths of a litre? 600 What is 5/8 of a century in months? 750 Convert 38.20998 years to decades. 3.820998 How many nanograms are there in three eighths of a microgram? 375 What is 0.7081323 millilitres in litres? 0.0007081323 How many centimeters are there in 444797.4m? 44479740 What is 5/8 of a gram in milligrams? 625 What is 3/8 of a week in hours? 63 How many months are there in sixty-four thirds of a century? 25600 How many micrograms are there in 4904.382kg? 4904382000000 How many seconds are there in 3/25 of a hour? 432 How many millilitres are there in 3/10 of a litre? 300 Convert 4.495471 millennia to centuries. 44.95471 Convert 80194.21 centuries to decades. 801942.1 What is 3/10 of a minute in milliseconds? 18000 What is 17/4 of a decade in months? 510 How many months are there in 5/6 of a year? 10 What is twenty-five halves of a meter in millimeters? 12500 What is 589.6385 decades in millennia? 5.896385 What is 1363.56 litres in millilitres? 1363560 How many millilitres are there in 37/2 of a litre? 18500 How many weeks are there in 127.6532838ms? 0.0000002110669375 Convert 377690.1 grams to micrograms. 377690100000 How many nanograms are there in 6430.104 micrograms? 6430104 What is eighty-one halves of a microgram in nanograms? 40500 What is 0.7051289 years in months? 8.4615468 Convert 44.04688 nanograms to kilograms. 0.00000000004404688 How many micrograms are there in 13/4 of a milligram? 3250 How many seconds are there in twenty-one fifths of a minute? 252 Convert 0.0378106 milliseconds to microseconds. 37.8106 Convert 37.31829 millennia to centuries. 373.1829 What is thirteen quarters of a milligram in micrograms? 3250 How many millilitres are there in 1395.509l? 1395509 What is eighteen fifths of a decade in years? 36 How many hours are there in 24026.88 days? 576645.12 What is fourty-nine fifths of a tonne in kilograms? 9800 How many centimeters are there in 8657.683m? 865768.3 What is 11/2 of a century in months? 6600 What is 20.23102 tonnes in nanograms? 20231020000000000 How many millimeters are there in fourty-eight fifths of a centimeter? 96 How many decades are there in 43/2 of a millennium? 2150 How many millimeters are there in six fifths of a centimeter? 12 What is 1/5 of a kilometer in meters? 200 How many centuries are there in 62.17427 millennia? 621.7427 What is 11/2 of a year in months? 66 How many decades are there in 645271.6 millennia? 64527160 Convert 8953.81l to millilitres. 8953810 What is thirty-two fifths of a tonne in kilograms? 6400 What is 7/2 of a decade in months? 420 Convert 722.4584 litres to millilitres. 722458.4 What is twenty-nine halves of a century in decades? 145 Convert 67093.95 centuries to decades. 670939.5 Convert 4.853653 micrometers to centimeters. 0.0004853653 Convert 1171448.73us to days. 0.000013558434375 What is 668.4126 litres in millilitres? 668412.6 How many hours are there in 2/7 of a week? 48 How many kilograms are there in eleven halves of a tonne? 5500 What is 20879305.2us in days? 0.000241658625 What is 264044.3 seconds in milliseconds? 264044300 Convert 6969.825 micrograms to kilograms. 0.000006969825 How many years are there in 31/5 of a century? 620 What is thirteen quarters of a micrometer in nanometers? 3250 How many millilitres are there in 21/8 of a litre? 2625 How many micrometers are there in 17246.94nm? 17.24694 How many millimeters are there in 21/2 of a centimeter? 105 What is 210.40914 minutes in hours? 3.506819 What is 7962.521 seconds in nanoseconds? 7962521000000 Convert 26.9009ml to litres. 0.0269009 What is four thirds of a century in months? 1600 What is 77716.485 minutes in weeks? 7.70996875 Convert 48.80182 litres to millilitres. 48801.82 How many decades are there in 6.692847 months? 0.055773725 Convert 4.370322 tonnes to kilograms. 4370.322 What is 6.4782 tonnes in grams? 6478200 How many months are there in 13.39281 years? 160.71372 What is 8.928442l in millilitres? 8928.442 How many grams are there in 6/25 of a kilogram? 240 How many grams are there in fourty-eight fifths of a kilogram? 9600 How many millilitres are there in 32/5 of a litre? 6400 What is 27576.64 decades in centuries? 2757.664 What is 1/5 of a kilogram in grams? 200 How many litres are there in 2966.335 millilitres? 2.966335 Convert 339660.3 micrometers to nanometers. 339660300 How many millimeters are there in 37/5 of a meter? 7400 What is 17/2 of a gram in milligrams? 8500 What is 2336.965ng in tonnes? 0.000000000002336965 What is 10/3 of a decade in months? 400 What is 1/4 of a year in months? 3 What is fourty-five eighths of a litre in millilitres? 5625 What is 0.6342292ng in kilograms? 0.0000000000006342292 What is twenty-one eighths of a litre in millilitres? 2625 Convert 7368.972 centuries to decades. 73689.72 What is 1/10 of a litre in millilitres? 100 What is three sixteenths of a week in minutes? 1890 Convert 90828.97 years to months. 1089947.64 What is 11/4 of a microgram in nanograms? 2750 What is three fifths of a millennium in decades? 60 What is 46.14839l in millilitres? 46148.39 How many nanometers are there in 70.21635cm? 702163500 What is 41.8655 centimeters in kilometers? 0.000418655 How many months are there in 8/25 of a millennium? 3840 How many nanograms are there in one fifth of a microgram? 200 Convert 0.7116439 millimeters to nanometers. 711643.9 How many millilitres are there in 436.2677l? 436267.7 What is 66.3321 months in centuries? 0.05527675 What is twenty-three eighths of a litre in millilitres? 2875 What is 1638.3603 months in years? 136.530025 How many years are there in 13/5 of a millennium? 2600 How many nanograms are there in 3321.803 grams? 3321803000000 How many micrograms are there in 1/4 of a milligram? 250 How many milligrams are there in 630.0031t? 630003100000 What is 3/5 of a decade in years? 6 What is 2364.888ml in litres? 2.364888 What is 65.47152 micrograms in nanograms? 65471.52 Convert 0.7120845 minutes to hours. 0.011868075 What is seven thirds of a millennium in months? 28000 What is fourty-four fifths of a century in years? 880 What is 2.246291 centuries in years? 224.6291 What is 8/25 of a kilometer in meters? 320 What is 9/10 of a litre in millilitres? 900 How many nanometers are there in 12/25 of a micrometer? 480 What is 21/8 of a litre in millilitres? 2625 Convert 64.26955 litres to millilitres. 64269.55 What is 829
{ "pile_set_name": "DM Mathematics" }
2*sqrt(121) - sqrt(121))*-6)/(sqrt(11)*-1*-4). -2 Simplify ((sqrt(408)*-1*-3)/(-2*sqrt(24)/sqrt(2)))/((sqrt(192)*-6)/(sqrt(6) - sqrt(72)/(sqrt(12) + sqrt(12) + sqrt(48)/sqrt(4)))). sqrt(17)/24 Simplify (-1*(sqrt(80) - (sqrt(80) + 2*sqrt(80)*-5 - sqrt(80)))/sqrt(4))/(sqrt(12)/sqrt(75) - (sqrt(4) - (sqrt(1024)/sqrt(4) - sqrt(4)))). -55*sqrt(5)/31 Simplify ((sqrt(36) - (sqrt(180)/sqrt(5)*1 + sqrt(36)))/(2*-2*sqrt(2)))/(sqrt(45)/(sqrt(5) + sqrt(35)/sqrt(7)) - sqrt(81)*5). -sqrt(2)/58 Simplify ((sqrt(3) - (sqrt(9)/sqrt(147) + sqrt(3)) - sqrt(3)*5*1) + 4 + (sqrt(192)*-1 - sqrt(3)) + sqrt(600)/sqrt(8))**2. -512*sqrt(3)/7 + 13072/49 Simplify (sqrt(8)*-6 + sqrt(242) + 4 + (-5*sqrt(88)/sqrt(4))/(sqrt(77)/(sqrt(14)/sqrt(2) + sqrt(7) + sqrt(7)) - sqrt(11)) + -4)**2. 169/2 Simplify ((2*sqrt(525) - (sqrt(21) + -1*sqrt(3024)))*3)/(((sqrt(84)/sqrt(2) + sqrt(42))*4)/(1*sqrt(96))). 63*sqrt(3)/2 Simplify (-1 + 2 + sqrt(77)/(-1*sqrt(7) - sqrt(7)) + -1 + 2 + sqrt(539)*2*1)**2. 54*sqrt(11) + 8035/4 Simplify (-4 + sqrt(704)*2 + -1 + (sqrt(44) - (sqrt(44) + sqrt(44) + 1)*-4) + sqrt(44) + sqrt(44) + 1*sqrt(132)/sqrt(3))**2. -80*sqrt(11) + 17601 Simplify (5*(4*(sqrt(539) + (-1*sqrt(539) - sqrt(539))) + sqrt(539) + sqrt(539) - (-2*sqrt(539)*-6 - sqrt(539))))**2 + 3*(-6*3*(-3 + sqrt(539)))**2. -40824*sqrt(11) + 2809931 Simplify (((2 + 1 + sqrt(468))*-2 + 3 + -1 + -2*(3 + sqrt(468)*2))*5)**2. 18000*sqrt(13) + 423700 Simplify (-6*((sqrt(76)*-1 - sqrt(76) - sqrt(76))*2 + sqrt(76) + (-2*sqrt(76)*2 + sqrt(76) - sqrt(76)) + sqrt(76)))/(sqrt(20)/sqrt(5)*-3 + -2*sqrt(144)). -16*sqrt(19)/5 Simplify (-2*((sqrt(450)*1 - sqrt(450)) + sqrt(450)) + (sqrt(20)/(sqrt(5)*2) + sqrt(4))/(-6*sqrt(2)*-2))**2. 57121/32 Simplify (1*sqrt(204)*-1 - (sqrt(204) - -6*((sqrt(204) + -2*sqrt(204) - sqrt(204)) + sqrt(204))))/((sqrt(12) + sqrt(1452)*-3)*3). -sqrt(17)/24 Simplify 6*(0 + (-4*(1*sqrt(171) + sqrt(171))*-5)/(sqrt(1296)*-2*-5)). 2*sqrt(19) Simplify -4*(5 + -3*(sqrt(153)*1*-5 + 3)*2)**2. -551476 + 9360*sqrt(17) Simplify (-1 + sqrt(208) + 4 + sqrt(65)/sqrt(5) + sqrt(130)/(6*sqrt(10)*-2))*4*2. 24 + 118*sqrt(13)/3 Simplify (-3*(sqrt(1331) - 1*sqrt(1331)))**2*5 + -2 + (-3*sqrt(1331)*1 - (sqrt(1331) - (sqrt(1331) + -5*(sqrt(1331) + 1))))**2 + 3. 880*sqrt(11) + 85210 Simplify (2 + (2*4*sqrt(304))**2 - ((sqrt(304) + (-1*(sqrt(304) - (sqrt(304) - (sqrt(304) - sqrt(304)*2))) - sqrt(304)))**2 - (-1 + 1 + sqrt(304)))) + -1. 4*sqrt(19) + 19153 Simplify ((0 + 0 + sqrt(7) + sqrt(7) + 1*sqrt(112) + sqrt(112)*-4 + sqrt(112) + -1)*5)**2 + 5. 300*sqrt(7) + 6330 Simplify -3*((6*(1*sqrt(684)*-5 + -2*-1*sqrt(684)))**2 + (5*(sqrt(684) + 1) + (-3*sqrt(684)*4 - sqrt(684)))**2). -796251 + 1440*sqrt(19) Simplify (2*(sqrt(65) - 1*sqrt(65))*-1*-5)/(-4*(sqrt(500) - (sqrt(500) - 3*sqrt(500)))*5). 0 Simplify ((0 + sqrt(891))*6 + 2*sqrt(891) + -5 - (-1*-3*(sqrt(891) - -1*sqrt(891)))**2) + 2 + -2. -32081 + 72*sqrt(11) Simplify (-4*4*(sqrt(10) + 1*sqrt(10)))/((sqrt(405)*-2 - sqrt(405) - sqrt(405))*-3)*6 + -2. -16*sqrt(2)/9 - 2 Simplify (6*-5*sqrt(187)*-2*2)/(-3*sqrt(55)/sqrt(5) + sqrt(11) + sqrt(132)/sqrt(1200)). -1200*sqrt(17)/19 Simplify (-5 + sqrt(9)/sqrt(3) + -2*(sqrt(3) + 2))*-1 + (1*sqrt(81)/sqrt(3) - (sqrt(27) + ((sqrt(216)*1 - sqrt(216))/sqrt(8))**2)). sqrt(3) + 9 Simplify (1*sqrt(784) + sqrt(784) + sqrt(784))/(sqrt(378)/sqrt(6)) + (5 + (1*sqrt(343))**2)*-6 + 1. -2087 + 4*sqrt(7) Simplify 5 + (-4 + sqrt(108) + -4 + sqrt(108))**2 + 0 + -1*(-2 + ((-1*sqrt(108))**2 - sqrt(108)) - (sqrt(108) + ((2 + sqrt(108))*6)**2)). 684*sqrt(3) + 4427 Simplify 2 + 1*((((sqrt(140) - -2*sqrt(140) - sqrt(140))/sqrt(7))/sqrt(4))**2*5 - (sqrt(45) + sqrt(5) + -5)*2*-1). 8*sqrt(5) + 92 Simplify ((sqrt(136) - (sqrt(136) - -4*(-1*sqrt(136) + sqrt(136) - sqrt(136))))*1*4)/(sqrt(288)*-3 + sqrt(56)/(sqrt(35)/sqrt(5)) + sqrt(8)). -sqrt(17) Simplify (sqrt(275)*-4*-2 + -3)**2 - ((sqrt(891) + 3 + sqrt(891) + 0)*3)**2. -14548 - 1212*sqrt(11) Simplify -1 + (sqrt(84)/sqrt(6)*1)/sqrt(882) + 0 + 5 + -5. -1 + sqrt(7)/21 Simplify (-5*((sqrt(13) + 1*sqrt(13) + -2 - (sqrt(52)/(sqrt(4) - (sqrt(64) - sqrt(4))) + sqrt(13)) - -3*(0 + sqrt(13) + -4)) + 3))**2. -2475*sqrt(13) + 38425/4 Simplify ((-3*(sqrt(1377) + -3*sqrt(1377) + 0 + sqrt(1377)) - (0 + -2*(sqrt(1377) + -4*sqrt(1377)))) + 2)**2. -108*sqrt(17) + 12397 Simplify 1*(sqrt(1584) + 3)**2 + -2 + -1 + sqrt(275) + -1 + -2. 77*sqrt(11) + 1587 Simplify ((sqrt(84)/sqrt(3) + sqrt(28))/sqrt(4)*2 + (sqrt(7) - (0 + sqrt(7) + -5))*3 - (5*sqrt(63)*5 + (sqrt(7)*2 + -4)*3))**2. -4158*sqrt(7) + 42232 Simplify 5*(-3 + (2*sqrt(152)*1 - (sqrt(152) + sqrt(152)*-1*-2))/((sqrt(8) + 4*1*sqrt(8) - sqrt(8)) + sqrt(512)*-1)). -15 + 5*sqrt(19)/4 Simplify -6*((1 + sqrt(80) + 1 - (sqrt(80) + (sqrt(80) - ((-1*sqrt(80) - sqrt(80))*2)**2))) + -1 - ((sqrt(80)*2 - sqrt(80))*-6 + -4)*4). -7782 - 552*sqrt(5) Simplify (2 + (1 + (sqrt(475) - -2*sqrt(475)))*4 + -4*((sqrt(475) - 1*(0 + sqrt(475))) + 4))**2*4. -4800*sqrt(19) + 274000 Simplify -4 + 1 + 3*sqrt(1539)*6 + sqrt(1539) + (-1*(4 + sqrt(1539)) + sqrt(1539) - sqrt(1539)). -7 + 162*sqrt(19) Simplify -4*((2*-1*sqrt(2268))/(sqrt(100) - 2*(sqrt(100) - sqrt(100)*-1)) + 4). -16 - 24*sqrt(7)/5 Simplify -1*(-1 + (sqrt(72)/(sqrt(432) - (sqrt(432) - sqrt(432)*2)))/(sqrt(12)*-2*4*-5))**2 + 1. -1/460800 + sqrt(2)/480 Simplify ((sqrt(121) + (2*sqrt(121) - sqrt(121))*2 + sqrt(121)*-1*-1)*4)/((-1*-1*sqrt(77))/(sqrt(14)/sqrt(2)*-5)). -80*sqrt(11) Simplify (-4*(1 + -5 + (-1*sqrt(539) + -1 - sqrt(539)) + sqrt(539) + 2 + 4)*-1)**2. -224*sqrt(11) + 8640 Simplify -6*(3 + sqrt(153)/(3*sqrt(900)) - (sqrt(17) + -1 + 1 - (sqrt(612) + 0)))**2. -395717/150 - 906*sqrt(17)/5 Simplify (((sqrt(243) - (sqrt(243) - (4 + sqrt(243) + sqrt(243) + -4 + sqrt(243))))*-5)**2 - -6*((-2*sqrt(3) + 2)**2 + 2))*-4. -219132 + 192*sqrt(3) Simplify -2*(-2 + (((sqrt(8) + -1)*4 + sqrt(8) + sqrt(968) + -1 + sqrt(968))*2*1)**2). -46852 + 4320*sqrt(2) Simplify ((-2 + sqrt(1200) + 0 + -1 + sqrt(1200) + sqrt(1200) + sqrt(1200) + sqrt(1200) + 2 + sqrt(1200) + -5)*6)**2. -51840*sqrt(3) + 1556496 Simplify (((sqrt(480) + 2*sqrt(480)*2 - sqrt(480))/sqrt(12))/(-5*(sqrt(392) - sqrt(392)*-3) - sqrt(392))*-3 + -4)**2. -32*sqrt(5)/49 + 38496/2401 Simplify ((sqrt(100)*1*4)/(-2*sqrt(405)))/(((sqrt(48) + sqrt(432))*-4)/(sqrt(300) - 2*sqrt(300)))*-1. 5*sqrt(5)/72 Simplify (-4*(sqrt(1215) + (sqrt(1215)*-1 - sqrt(1215)))*-3)/((sqrt(36)*1*-5)/(sqrt(432) - -1*sqrt(432))). 1296*sqrt(5)/5 Simplify (((sqrt(2448) - (-1 + sqrt(2448))**2) + -3 + sqrt(2448))*-1 - (sqrt(2448) + 5*(1 + sqrt(2448)) + (-6*-2*sqrt(2448))**2))*1. -350065 - 120*sqrt(17) Simplify (0 + 2 + 5*(-4 + (sqrt(432) - -6*-1*sqrt(432))**2))*3. 161946 Simplify (-1*-6*(sqrt(475) - (sqrt(475) - (sqrt(475) + 1 + 3))) - (0 + -2 + (sqrt(475) - (-1 + sqrt(475))*-1)))**2. 1080*sqrt(19) + 8329 Simplify -4 + (4 + (sqrt(272) - (sqrt(272) + 1 + sqrt(272))) + -3)**2 + 5*(-1 + sqrt(272))*4. 248 + 80*sqrt(17) Simplify -5*((((sqrt(2592) + 0)*-5)**2 - (3 + 2*2*sqrt(18))**2) + 2). -322525 + 360*sqrt(2) Simplify (3*(-4*sqrt(28)/sqrt(4) - sqrt(28)/sqrt(36))*5)**2 + 1. 29576 Simplify ((-1*sqrt(66)*-2)/(sqrt(21)/sqrt(28)))/(-2*4*(-2*sqrt(1584) - sqrt(1584))). sqrt(2)/72 Simplify (((-1 + sqrt(243))*1 + 4*(sqrt(243) + 0) + sqrt(243) + (-1 + sqrt(243)*-1 + (sqrt(243) + -1)*-6)*-5)*2)**2. -76752*sqrt(3) + 1636636 Simplify 3*(sqrt(448) + sqrt(448) + 1)*-4*-4 + -5*(sqrt(1400)*-1)/sqrt(2)*1. 48 + 818*sqrt(7) Simplify (sqrt(1100)*-2*-2 + sqrt(55)/sqrt(605) + -5)**2*2. -8820*sqrt(11)/11 + 389512/11 Simplify (sqrt(171) - -2*sqrt(171)*-2)/(sqrt(9) - 1*sqrt(441)) + (2*(-1 + 3 + sqrt(931)))**2. 225*sqrt(19)/2 + 3740 Simplify (((1*sqrt(136)*-3 + sqrt(136) - sqrt(136)) + sqrt(136) - 2*sqrt(136)*3)/(-2*sqrt(32)/sqrt(4) + 1*sqrt(288)))**2*5. 340 Simplify (0 + (-5 + sqrt(567)*2 + 1 + sqrt(567) + sqrt(567) + 1 + sqrt(567) + -5 - ((4 + sqrt(567) + 1)*4 + 5)))**2. -594*sqrt(7) + 1656 Simplify -5*((sqrt(5) + sqrt(60)/(-1*sqrt(12)) - sqrt(5))**2 + (1*sqrt(5))**2 + 0)*6 + 5 + 0 + (sqrt(80) - -1*sqrt(80)*-2)**2 + sqrt(80). -215 + 4*sqrt(5) Simplify (((sqrt(7920) + (sqrt(7920)*-2 - sqrt(7920)))*4 + sqrt(7920))/((sqrt(99) + (sqrt(99) - sqrt(99)*1))*6))**2. 980/9 Simplify (-4 + -5 + 4*(-5*sqrt(112)*4 - (sqrt(112) + 0)*5))**2. 7200*sqrt(7) + 1120081
{ "pile_set_name": "DM Mathematics" }
= -695*m + 6480 - 19*m**2 + 18*m**2 + 15*m**2 + 31*m**2. Let s(f) = -6*c(f) - 25*h(f). What is l in s(l) = 0? 18 Suppose -m = 2*k - 89, -1 = -4*k + 3. Suppose -f - m = -2*z, -f = -5*z + 10*z - 228. Factor -z*o - 44*o + 8 + 77*o + 4*o**2. 4*(o - 2)*(o - 1) Let g(z) = z**3 + 20*z**2 - 7*z - 80. Let i be g(-20). Determine y, given that 3*y - 19*y + i*y**2 - 58*y**2 - 4*y + 42 = 0. 3, 7 Factor 38930218/15 + 538/5*o**2 - 2/15*o**3 - 144722/5*o. -2*(o - 269)**3/15 Let z(y) be the first derivative of y**3/12 + 599*y**2/4 - 1199*y/4 - 1603. Let z(d) = 0. What is d? -1199, 1 Factor -249696*r**2 - 2/3*r**4 + 0 - 816*r**3 + 0*r. -2*r**2*(r + 612)**2/3 Let l(a) be the first derivative of a**4/8 - 14*a**3/3 + 57*a**2 - 288*a - 972. Find m such that l(m) = 0. 6, 16 Let b be 31 + -20 - 39003/663. Let c = -698/17 - b. Let -24/13*f**4 - 22/13*f**3 + 16/13 + c*f + 92/13*f**2 = 0. Calculate f. -2, -2/3, -1/4, 2 Let 129/2*k**2 + 0 + 15/2*k**4 + 115/4*k + 1/4*k**5 + 43*k**3 = 0. Calculate k. -23, -5, -1, 0 Suppose 344 - 56 = 32*u. Let y = u + -17/2. Factor 0*m**2 - y*m**4 - m**3 + 0*m + 0. -m**3*(m + 2)/2 Factor 1000 - 66*z**2 - 2*z**3 - 3*z**3 + 53*z**2 - 250*z + 14*z**2 - 116*z**2. -5*(z - 2)*(z + 5)*(z + 20) Suppose 3*u - 1328 + 1324 = 2*d, 0 = -49*u - 3*d - 6. Factor u*h**2 + 2/7 - 1/7*h**3 + 3/7*h. -(h - 2)*(h + 1)**2/7 Let -4*i - 1/7*i**4 + 1/7*i**2 + 4*i**3 + 0 = 0. What is i? -1, 0, 1, 28 Factor -14*c**3 - 2496*c + 1639 + 28*c**3 - 18*c**3 - 336*c**2 - 6503. -4*(c + 4)**2*(c + 76) Let f = -131 + -534. Let v be ((-2)/(-9))/((f/126)/(-19)). Factor 0 + 2/5*t**3 + 0*t + v*t**2 - 2/5*t**4. -2*t**2*(t - 2)*(t + 1)/5 Let m(l) = -l**3 + 2*l. Let c(d) = 4*d**3 + 33*d**2 + 59*d - 160. Let g(n) = -c(n) - 5*m(n). Let v(i) be the first derivative of g(i). Factor v(x). 3*(x - 23)*(x + 1) Let t(c) be the second derivative of -c**7/63 - 23*c**6/45 - 19*c**5/15 + 43*c**4/9 + 13*c**3/3 - 21*c**2 - 732*c. What is d in t(d) = 0? -21, -3, -1, 1 Let f(j) be the first derivative of -j**3/3 + 71*j**2 + 143*j + 1589. Factor f(v). -(v - 143)*(v + 1) Let m(u) be the second derivative of u**6/30 - u**5/4 - 7*u**4/6 - 3*u**3/2 - 3*u. Let r(j) = j**3 + j**2 + j. Let s(n) = 2*m(n) + 18*r(n). Factor s(k). 2*k**2*(k - 1)*(k + 5) Let j(b) = -15*b**3 - 795*b**2 - 5*b + 15. Let y(i) = -20*i**3 - 1193*i**2 - 7*i + 21. Let s(x) = 7*j(x) - 5*y(x). Factor s(l). -5*l**2*(l - 80) Let k(t) be the third derivative of -t**5/240 - 41*t**4/32 + 63*t**3/4 + 1979*t**2. Factor k(m). -(m - 3)*(m + 126)/4 Let t(z) = z**3 + 19*z**2 - 19*z + 23. Let j be t(-20). Factor 158*a**j - 4*a**5 + 225*a**3 - 86*a**3 + 243*a**2 + 7*a**5 + 57*a**4. 3*a**2*(a + 1)*(a + 9)**2 Let f = -332013/85 - -66508/17. Solve -1/5*c**3 + 17/5*c**2 - f*c + 3 = 0 for c. 1, 15 Factor -19511200 - 4/5*v**3 - 696*v**2 - 201840*v. -4*(v + 290)**3/5 Factor -36*x + 874*x + 9*x**2 - 12*x**2 + 131*x. -3*x*(x - 323) Suppose -56 + 88 = 4*y - 5*d, 0 = 4*y + d - 56. Suppose 24*j - y*j**2 - 16*j**2 + 42*j**2 - 16*j**2 + 15*j = 0. What is j? 0, 13 Factor 21374 + 20766 - 64333 - 5*r**2 + 135*r + 21293. -5*(r - 15)*(r - 12) Let v(y) be the third derivative of 0 + y + 1/20*y**5 + 9/2*y**3 - 12*y**2 + 3/4*y**4. Let v(k) = 0. Calculate k. -3 Let s(t) be the first derivative of t**2 - 28 - 65 + 22 + 4*t**3 + 3*t**2. Factor s(a). 4*a*(3*a + 2) Let q be (-12 - 522/(-42))*7. Let a = 2 + 0. Factor l**4 + 6*l + 2*l**3 - l**a - 8*l**2 + 5*l - 4 - l**q. (l - 1)**3*(l + 4) Suppose r + 154 = 3*h, 0 = 4*h - r + 2*r - 210. Suppose 88 = h*x - 8*x. Determine u so that 0*u + 1/9*u**x - 1/9 = 0. -1, 1 Suppose 5*r + 506 = 7*r + 36*q, 0 = -q + 14. Factor 5/4*w + 1/4*w**2 + r. (w + 1)*(w + 4)/4 Let u(j) be the second derivative of -j**9/26460 + j**8/5880 + j**7/4410 - j**6/630 - 5*j**4 + j + 3. Let h(a) be the third derivative of u(a). Factor h(q). -4*q*(q - 2)*(q - 1)*(q + 1)/7 Let a(l) be the second derivative of l**7/294 - l**6/15 + 5*l**5/28 - l**4/7 + 47*l - 2. Factor a(x). x**2*(x - 12)*(x - 1)**2/7 Let w(f) be the third derivative of f**8/784 + 9*f**7/245 + f**6/20 - 2*f**5/5 - 87*f**4/56 - 17*f**3/7 - 9*f**2 + 107. Let w(t) = 0. What is t? -17, -1, 2 Let w(x) = 42*x - 211. Let p be w(25). Let u = 842 - p. Let -u*v**4 + 0*v**2 + 0*v + 3/4*v**5 + 0 + 3*v**3 = 0. What is v? 0, 2 Let d = 118 - 100. Factor 42*x**3 + 3*x**4 - 21*x**3 - 3*x**5 - d*x**3 - 3*x**2. -3*x**2*(x - 1)**2*(x + 1) Let c be (-35)/(-7) + (-2)/1216*2283. Let w = c - -3/608. Factor -2*z**3 - 1/4*z**5 - w*z**4 + 0*z - z**2 + 0. -z**2*(z + 1)*(z + 2)**2/4 Let u(s) be the second derivative of 23*s**3 - s + 63 + 1587/2*s**2 + 1/4*s**4. Determine f so that u(f) = 0. -23 Let b = -60 - -103. Let j = 70 - b. Determine u, given that -12 - j - 2*u**2 + 24*u - 33 = 0. 6 Let y(i) be the second derivative of 0*i**3 + 0*i**2 + 1/4*i**4 - 1/60*i**6 - 20*i + 1/40*i**5 - 2. Factor y(z). -z**2*(z - 3)*(z + 2)/2 Let v = -61 - -35. Let p be (-264)/v - (-4)/(-26). Factor 6*s**3 + 18 - 10 - 46*s + 40*s + 2*s**4 - p*s**2. 2*(s - 1)**2*(s + 1)*(s + 4) Let w = -238868 + 238872. Find n, given that 57/7 + 54/7*n - 60/7*n**2 + 3/7*n**w - 54/7*n**3 = 0. -1, 1, 19 Factor -560/3*v**2 + 23/3*v**3 + 0 + 1/3*v**4 + 832*v. v*(v - 8)**2*(v + 39)/3 Let b(s) be the second derivative of s**5/16 + 5*s**4/6 + 55*s**3/24 - 25*s**2/2 + s - 97. Solve b(w) = 0 for w. -5, -4, 1 Let b = -662 + 188. Let k = b + 477. Factor 0 + 1/2*t**k + t + 3/2*t**2. t*(t + 1)*(t + 2)/2 Suppose 8*l - 103 = 49. Factor -2*f + l + 2*f**2 - 6*f + 21 - 32. 2*(f - 2)**2 Let 42250 + 260*h + 2/5*h**2 = 0. Calculate h. -325 Let g(r) be the first derivative of -4*r**3/3 - 410*r**2 - 1624*r - 962. Suppose g(a) = 0. Calculate a. -203, -2 Let g(n) be the first derivative of 902289*n**5/5 - 1925781*n**4/4 + 82611*n**3 - 10935*n**2/2 + 162*n + 2425. Suppose g(v) = 0. Calculate v. 3/67, 2 Let l = 411590 - 411586. Find r such that 0 - 2/3*r**4 - l*r - 2/9*r**5 + 14/9*r**3 + 10/3*r**2 = 0. -3, 0, 1, 2 Solve 12*r - 2*r**2 - 5*r**2 + 8*r**2 - 7*r**2 + 2*r**2 + 112 = 0 for r. -4, 7 Factor -1/4*o**3 + 1/4*o + 13/2*o**2 - 13/2. -(o - 26)*(o - 1)*(o + 1)/4 Suppose 2*g + 611 = -709. Let x be ((g/(-121))/(-15))/(4/(-22)). Factor 0 + 1/3*y**3 - 1/3*y - 1/6*y**4 + 1/6*y**x. -y*(y - 2)*(y - 1)*(y + 1)/6 Let h = 3/34436 - -137735/103308. Solve 8/3*u**3 + h*u + 6*u**2 + 0 = 0 for u. -2, -1/4, 0 Let u(a) = -11*a - 251. Let m be u(-23). Let o(i) be the first derivative of 7 + 2/3*i**3 - 1/2*i**4 + 0*i**m + 0*i. Suppose o(l) = 0. What is l? 0, 1 Let h(a) = a**4 + 37*a**3 + 17*a**2 - 133*a + 92. Let d(k) = -k**4 + 2*k**3 + k**2 + 4*k + 1. Let w(b) = -2*d(b) + h(b). Suppose w(z) = 0. Calculate z. -10, -3, 1 Determine i so that -422*i**3 - 1200 + 14/3*i**5 + 4180*i + 22*i**4 + 566/3*i**2 = 0. -12, -3, 2/7, 5 Factor -6*h**2 - 22255*h + 7*h**2 + 22915*h. h*(h + 660) Let c(p) be the first derivative of -p**7/168 - 11*p**6/144 - 5*p**5/48 - 58*p**3/3 - 76. Let l(k) be the third derivative of c(k). Factor l(x). -5*x*(x + 5)*(2*x + 1)/2 Suppose 0 = 3*a + 13 + 32. Let t(l) = l**2 + 17*l + 32. Let v be t(a). Solve 4*n**v - n**4 - 3*n**5 + 11*n**5 + 4*n**5 - 3*n**4 - 12*n**3 = 0 for n. -1, 0, 1/3, 1 Factor 626*x + 780 - 537*x + 1468*x - 3*x**3 + 774*x**2. -3*(x - 260)*(x + 1)**2 Let c(g) be the second derivative of 3/80*g**5 + 0 + 0*g**2 + 11/8*g**4 - 46*g + 121/8*g**3. Find q, given that c(q) = 0. -11, 0 Let r(s) = 8*s - 110. Let h be r(14). Let f(l) be the second derivative of -9/4*l**h + 0 - 1/24*l**4 - 5*l + 1/2*l**3. Factor f(c). -(c - 3)**2/2 Let d(i) = 4*i**4 - 32*i**3 - 64*i**2 - 30*i - 2. Let v(x) = -3*x**4 - 2*x**3 - x**2 - x + 1. Let h(g) = -d(g) - 2*v(g). Determine s, given that h(s) = 0. -16, -1, 0 Factor -21*l**3 - 10*l**2 - 205*l - 330 - 4*l**2 + 134*l**2 - l**3 + 17*l**3. -5*(l - 22)*(l - 3)*(l + 1) Suppose 1010*o - 1013*o + 4*z + 50 = 0, -4*z - 46 = -o. Factor -3/4*m**o + 21/4*m - 9. -3*(m - 4)*(m - 3)/4 Factor 8824/17*t + 2200/17*t**2 + 8832/17 - 2/17*t**3. -2*(t - 1104)*(t + 2)**2/17 Let p(h) be the first derivative of h**5/130 + h**4/78 - 2*h**3/13 - 52*h + 19. Let a(i) be the first derivative of p(i). Solve a(f) = 0 for f. -3, 0, 2 Let q = 18 + -38. Let z be (-124)/q - (-1)/(-5). Factor 0 + 8 + 12*o - 12*o + 2*o**3 - z*o**2. 2*(o - 2)**2*(o + 1) Factor -2/11*k**5 + 14/11*k**4 - 32/11*
{ "pile_set_name": "DM Mathematics" }
81) + sqrt(81)*3)) + sqrt(81)) - (sqrt(81) + -1*sqrt(81))*5)/((sqrt(363)*-2 + sqrt(363) - sqrt(363))*2 - -2*1*sqrt(363)). 15*sqrt(3)/11 Simplify (1*(4 + (sqrt(567) - -1*-1*sqrt(567) - 1*(1 + sqrt(567))) + -2)*-6)**2. -648*sqrt(7) + 20448 Simplify ((-4*(sqrt(306) + -1*sqrt(306) + sqrt(306) + sqrt(306)))/(sqrt(9) + sqrt(108)/(1*sqrt(12))))/(-3*sqrt(250)/sqrt(5)*-6). -2*sqrt(17)/45 Simplify (((-4*(sqrt(180) + sqrt(20)) - sqrt(2000)*-2)*2)/(-1*sqrt(48)/(sqrt(1200) + sqrt(1200)*2 + sqrt(1200))))**2. 512000 Simplify (5 + 0 + sqrt(208) + 1 - (5 + (sqrt(1872) - 1*sqrt(1872)) + (sqrt(1872) - ((sqrt(1872) - ((sqrt(1872) - (1 + sqrt(1872))) + sqrt(1872))) + 1))))**2. -48*sqrt(13) + 841 Simplify (3 + (2*1*sqrt(200) + sqrt(200))*6 + -2 + 1*(sqrt(200) - (0 + sqrt(200) + 5) - (1 + 1 + sqrt(200))))**2 + -3. -2040*sqrt(2) + 57833 Simplify 4*(((1*sqrt(143) + sqrt(143) + sqrt(143))*-4 - -2*(sqrt(143)*-2 + sqrt(143)))/(-1*sqrt(44) - -2*sqrt(99)) + -2). -14*sqrt(13) - 8 Simplify (((sqrt(99) + -2*sqrt(99))*6)/(sqrt(3) - (sqrt(27)*-2 + sqrt(27))))/(3*-2*sqrt(432)*6). sqrt(11)/288 Simplify (sqrt(18) + 1)*-2 + (sqrt(144)*-2)/sqrt(8) - (sqrt(288)*-3*2 + -3). 1 + 60*sqrt(2) Simplify ((sqrt(28)/(sqrt(8)/sqrt(4)))/(sqrt(18) + (sqrt(72) - sqrt(18))) + -2)**2 - (3 + -4*(sqrt(7) - sqrt(35)/sqrt(5)) + -4 + 2*sqrt(7)). -8*sqrt(7)/3 + 187/36 Simplify (5 + 5*(sqrt(1539) - (sqrt(1539) - 1*sqrt(1539)))*1 + 1 + sqrt(1539) + 0 + sqrt(1539) + -2)**2. 504*sqrt(19) + 75427 Simplify (-5 + sqrt(17) + sqrt(17)*-1 + sqrt(17) + 6*(-5 + sqrt(17)) - ((sqrt(17) + 0)*2 + -3 + sqrt(153)))**2. -128*sqrt(17) + 1092 Simplify (2 + sqrt(180) + (0 + sqrt(180) - sqrt(180)))*-4 + 3 - (sqrt(180)*3*2 + 5 + sqrt(180) + 2)**2. -8874 - 612*sqrt(5) Simplify (-4 + (1 + -2 + sqrt(539) + 1 - ((sqrt(539)*-2*2 - sqrt(539) - sqrt(539)) + -1))*-6)**2. 5880*sqrt(11) + 950896 Simplify 6*(1 + sqrt(272) + -2 + 1 + -4*(-2 + -2 + sqrt(272) + sqrt(272)))**2. -5376*sqrt(17) + 81504 Simplify (-2*sqrt(2940) - sqrt(2160)*-3)/(-2*-6*sqrt(12)*-2*-2). sqrt(5)/12 Simplify -3 + 0 + ((5 + sqrt(125) + (2*sqrt(125) - sqrt(125)) - 3*(sqrt(125) - (sqrt(125) + 0)))*1)**2. 100*sqrt(5) + 522 Simplify ((sqrt(180)*4)/(sqrt(90)*5) + 5)**2 - ((sqrt(32)/sqrt(2)*-1)/sqrt(8) - (((sqrt(8)/sqrt(4))**2 + sqrt(2) - sqrt(2))*6 + (sqrt(72)/sqrt(4))/sqrt(9))). 10*sqrt(2) + 957/25 Simplify -5 + (4*(sqrt(198)/(sqrt(36)/sqrt(4))*-3)/(-2*sqrt(44)/(sqrt(4) + sqrt(64))))**2. 1795 Simplify (3*sqrt(1274) - sqrt(1274))/(-2*sqrt(4)/sqrt(2)) - (-3 + sqrt(26)/(sqrt(4)/sqrt(32)))*-6. -18 + 17*sqrt(13) Simplify ((-3 + sqrt(76) - sqrt(19)) + -3)*-3 + -5*((3*sqrt(133)*4)/sqrt(7))**2. -13662 - 3*sqrt(19) Simplify ((2*sqrt(650) - (-5*sqrt(26)*2 + sqrt(26)))/(sqrt(10)/(sqrt(20)/sqrt(4)) + sqrt(24)/(sqrt(24)/sqrt(2))))**2 + -4. 4677/4 Simplify ((sqrt(1980)*5 - (sqrt(55) + -2*sqrt(2695)))/(1*sqrt(1620)*-1))**2*-3. -20339/108 Simplify 2*(sqrt(45)/(((1*sqrt(90) - sqrt(90)) + sqrt(90) + sqrt(90))/sqrt(10)))**2 + sqrt(90)/((sqrt(600) + sqrt(24))/sqrt(12)) + 4. sqrt(5)/2 + 13/2 Simplify -4 + (2*(sqrt(68) - (sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68) - 4*sqrt(68)))))*3)/(-6*((sqrt(4) - -5*(sqrt(4) + sqrt(4)*-2)) + sqrt(4))) + 2. -5*sqrt(17)/3 - 2 Simplify ((2*sqrt(192) + -5 + sqrt(192) + -1*sqrt(192)*1 + -5 + sqrt(192)*2 + (sqrt(192) - -3*(sqrt(192)*3 + sqrt(192))))*-1)**2. -2720*sqrt(3) + 55588 Simplify 4 + (sqrt(80)*1*2 + (sqrt(80) - (-3 + -3*sqrt(80))) + sqrt(80) + -2*1*sqrt(80) + (-6*sqrt(80)*-1 - sqrt(80)) + 3)**2. 480*sqrt(5) + 8040 Simplify (1*sqrt(864)*-6 + (sqrt(864) - sqrt(864)*-2)*1)/(-5*sqrt(56)/sqrt(7) - (sqrt(8) - 1*sqrt(8)*-6)). 3*sqrt(3)/2 Simplify (-1*sqrt(459)*-4*-1)/((sqrt(84)*-3)/(sqrt(7)*1*-2)). -4*sqrt(17) Simplify (-4 + (-4*sqrt(363)*-2*-3*2)**2)*-6 + 4. -5018084 Simplify 0 + ((sqrt(10) + (sqrt(10) - -1*sqrt(40)) + sqrt(10))/((sqrt(30)/sqrt(2))/sqrt(3)))**2*-5 + 2 + -2. -250 Simplify ((sqrt(450) - (sqrt(450) + 1 + sqrt(450))) + 2 - ((sqrt(450) - (sqrt(450) + sqrt(450) + -2)) + -1))**2 - (((sqrt(200) + 4)*-4 - sqrt(200))*6)**2. -189216 - 57600*sqrt(2) Simplify -2*(sqrt(648)*3 - -3*sqrt(18)*6)/((6*sqrt(72)*-2 + sqrt(72))/(-2*sqrt(432))). -864*sqrt(3)/11 Simplify -1 + (1*1*sqrt(108) + (sqrt(108) - (-2*sqrt(108) + -3)))**2 + ((sqrt(108)*-1)/sqrt(3))/(sqrt(12) + 1*sqrt(588)). 1151*sqrt(3)/8 + 1736 Simplify (2*sqrt(252) + sqrt(252))*-4*-4 + (5 + sqrt(567)*1 + sqrt(63))**2 + 4. 1037 + 408*sqrt(7) Simplify (((sqrt(245) + -1*sqrt(245))/sqrt(7) + (-3*sqrt(140))/sqrt(4))/((sqrt(605) + sqrt(605) + sqrt(605)*-2 + (sqrt(20) - sqrt(20)*-2) + sqrt(5))*5))**2. 9/175 Simplify (-5*(sqrt(119) - -3*sqrt(119) - sqrt(119)) + sqrt(119) + -5*((-2*sqrt(119) - sqrt(119)) + sqrt(119)))/(3*(sqrt(63)*1)/sqrt(9)*-1). 4*sqrt(17)/3 Simplify (-4 + 5*1*(-2 + sqrt(245)) - (3 + (5*(0 + sqrt(245) + sqrt(245)) - sqrt(245)))*-5)**2. 700*sqrt(5) + 612501 Simplify ((-4 + sqrt(108) + 2 - sqrt(108) - -4*1*sqrt(108)) + -4 + sqrt(108) + -2 + 0 + -3 + sqrt(108)*2)**2. -924*sqrt(3) + 5413 Simplify ((sqrt(68) + -3*sqrt(68) + sqrt(68) + sqrt(68))/sqrt(2) - sqrt(374)/(-3*sqrt(11)))/((sqrt(242) + (1*-2*sqrt(242) - sqrt(242)) + sqrt(242))*4). -sqrt(17)/132 Simplify 2*(-5 + sqrt(1216) + sqrt(1216) + -5*sqrt(19)*-2)*5 + 5. -45 + 260*sqrt(19) Simplify ((2*(sqrt(143)*-1 - sqrt(143) - sqrt(143)) + (-1*sqrt(143) - sqrt(143))*-4 + sqrt(143))*1)/(-1*-3*(-1*sqrt(11)*-1 + sqrt(11))). sqrt(13)/2 Simplify (3 + (((sqrt(14) - (1*sqrt(1694) - sqrt(14)) - sqrt(14)) + (sqrt(126) - -1*sqrt(126))/sqrt(9))/((sqrt(8) + sqrt(8) + sqrt(8)*-4)*1))**2)*-3. -93 Simplify -2*(((-1*sqrt(100))/sqrt(2) - sqrt(50))/(sqrt(30)/(sqrt(9)/sqrt(3))) + (-1 + sqrt(605))*-2*-6)**2. -169288 + 6240*sqrt(5) Simplify (0 + ((4 + -1*sqrt(720) + -2 - 1*(sqrt(720) + -2 + 1))*-4)**2)*2. -4608*sqrt(5) + 92448 Simplify -6*(((((sqrt(192) - (-1*2*sqrt(192) + sqrt(192) + sqrt(192)) - sqrt(192)) + sqrt(192))*-4)/((-2*sqrt(288) - sqrt(18))/sqrt(3)))**2 + 0). -1024/27 Simplify -3 + 3*(1 + -1*sqrt(1377)*-3 + ((3 + 1*sqrt(1377) - sqrt(1377)) + (sqrt(1377) + 0 + -5 - sqrt(1377)))**2). 12 + 81*sqrt(17) Simplify ((sqrt(2178) - (-5*sqrt(2178)*2 - sqrt(2178) - sqrt(2178))) + (1*sqrt(2178) + sqrt(2178) - sqrt(2178))*-4)/(sqrt(162)/sqrt(3) - 4*sqrt(486)). -3*sqrt(3) Simplify (1 + sqrt(5)*-3*-4*-1)**2 - (sqrt(5) + 4 + sqrt(5) + 2 - (sqrt(320)*-3 - sqrt(5)))**2. -2960 - 348*sqrt(5) Simplify (4*5*sqrt(343)*-4 + ((-2*sqrt(343) - sqrt(343))*4 - sqrt(343)) + -1*(sqrt(343) - ((2*sqrt(343) - sqrt(343) - sqrt(343)) + sqrt(343))) + -2)**2. 2604*sqrt(7) + 2966611 Simplify (-6*((sqrt(1008) + 2)*-1 + 2 + sqrt(1008) + 0 + 4 + 5 + (sqrt(1008)*1 - sqrt(1008))))**2. 2916 Simplify (((1*sqrt(209)*2 + sqrt(209) + sqrt(209) - sqrt(209))/(sqrt(33)/(sqrt(3) + (sqrt(3) - sqrt(6)/sqrt(2)))))**2 + 3 + -1 + sqrt(304)*-1)*5. -20*sqrt(19) + 865 Simplify (4 + -3 + sqrt(833) + -1)*2 - (-5 + ((-3*sqrt(1088))**2 - (sqrt(1377) + 0)**2)). -8410 + 14*sqrt(17) Simplify ((sqrt(121)*-1*3 + sqrt(121) + -1*sqrt(121)*2)*-3)/((-3*sqrt(176)*5 - sqrt(176))*3). -sqrt(11)/16 Simplify (sqrt(224)/((sqrt(64) - sqrt(4)) + sqrt(4))*-3)/((sqrt(32)/sqrt(2))/sqrt(2) + (sqrt(80) + sqrt(80) + (sqrt(80) - sqrt(80)*1))/sqrt(10))*4. -sqrt(7) Simplify (-5*sqrt(228)*-1 + sqrt(228) + (sqrt(228) - (sqrt(228) - -4*3*sqrt(228))))/(((-2*sqrt(12)*5 - sqrt(12)) + sqrt(192)*1)*-2). -3*sqrt(19)/7 Simplify (-2*(-2*((sqrt(1700)*2 + -4 - (sqrt(1700) + sqrt(1700) + -6*(sqrt(1700) + -1))) + 0) + -2 + 5))**2. -22080*sqrt(17) + 981316 Simplify (5 + (sqrt(320)*2 + 3 + (sqrt(320) - (sqrt(320) + -1 + -2)))*2 + -2)**2*6. 5760*sqrt(5) + 32070 Simplify (((sqrt(135) - (1*sqrt(135) + sqrt(135) + sqrt(135)))/sqrt(3))/(sqrt(441)*1 + sqrt(441)) + ((-2*sqrt(245))**2 - (sqrt(5) + -3)*4))*-1 + 2. -990 + 29*sqrt(5)/7 Simplify (((sqrt(3) + -1*-2*sqrt(3))*6 - (sqrt(12)/sqrt(2)*2 - sqrt(6))/sqrt(2)) + -2*(sqrt(1728) - (sqrt(1728) - (1*sqrt(1728) + sqrt(1728))*2)))**2. 91875 Simplify -5 + (-6*(sqrt(3) + sqrt(3)*-1 + 0 - sqrt(3)*-2*-4 - ((-1 + sqrt(300))*5 + -1)))**2. -25056*sqrt(3) + 364603 Simplify -5 + ((sqrt(432)*2)/(sqrt(400) + (-3*sqrt(400) - sqrt(400)))*-4)**2 + -2. 17/25 Simplify ((sqrt(21) + (sqrt(21) - sqrt(21)*-2))*5)/(sqrt(81)/sqrt(3)) + (-2*sqrt(84))/sqrt(243). 56*sqrt(7)/9 Simplify 1*((sqrt(40) + (sqrt(40) - sqrt(200)/(sqrt(35)/sqrt(7))))/sqrt(4))/(1*
{ "pile_set_name": "DM Mathematics" }
15. Let a(j) = 10*j**3 - 25*j**2 - 55*j + 77. Let z(r) = 4*a(r) - 21*b(r). Give z(5). -77 Let o(m) be the first derivative of -m**4/4 - 8*m**3/3 - 9*m**2/2 - 5*m - 704. Calculate o(-7). 9 Let g(i) = 185*i - 186*i + 0*i**2 - 1 - i**2 - i**2 + i**2. Let q = 14 + -16. Determine g(q). -3 Suppose -5*x - 4*i = -29, 0*i - 2*i = x - 7. Suppose -g = -0*l + l - x, -2*l + g = -19. Let p(y) = y**3 - 9*y**2 + 9*y - 12. Calculate p(l). -4 Let d = -1 - 2. Let b(o) = 6*o. Let s(v) = -v - 1. Let z be 6/(-1*3)*298/596. Let k(j) = d*s(j) + z*b(j). Determine k(4). -9 Let m(u) = -u**3 + 30*u**2 + 29*u + 60. Let a be m(31). Let p(t) = -2*t**3 - 4*t**2 + 4. What is p(a)? 4 Let k(c) = c**2 + 5*c - 5. Let o = -42 + 54. Suppose 0 = -4*a + o*a - 16. Suppose -32 = p + 3*p + 4*b, 3*b + 17 = -a*p. Give k(p). 9 Suppose 50*k - 20 = 46*k. Suppose -2*n = -4*c + 8 + 14, -5*c = 4*n + k. Let r(x) = -c - 308*x + 306*x + 2. Calculate r(-5). 9 Let g be 2 - -10*1/(-2). Let r(d) = 9*d**2 - 6*d + 194. Let j(l) = 12*l**2 - 8*l + 249. Let h(p) = -7*j(p) + 9*r(p). Determine h(g). -30 Let t(u) = -116*u**2 + 9*u**2 + 16*u + 8 + 118*u**2 + 2*u**3. Calculate t(-4). -8 Let g(p) = -p**3 - 37*p**2 - 69*p + 27. Let r be g(-35). Let l(w) = -8*w - 62. Let b be l(r). Let j(f) = -2*f + 1 - 1 + 2. Give j(b). -2 Let g = -12844 - -12844. Let f(b) be the second derivative of -1/2*b**3 + g + 34*b + 5/2*b**2. Give f(6). -13 Let x = 10968 + -10973. Let q(f) = -f**3 - 8*f**2 - 20*f - 18. What is q(x)? 7 Let k(n) be the third derivative of n**5/60 + 9*n**4/8 + 9*n**3 + 4*n**2 + 141. Calculate k(-24). -18 Let k(z) = -15*z**2 + 9*z - 14. Let l(d) = 17*d**2 - 9*d + 17. Let b(u) = 9*k(u) + 8*l(u). Suppose -2*g - 1 = -17. Suppose -r = -2*r - g. What is b(r)? 2 Let y(q) = q**3 + 14*q**2 + 16*q + 7. Let h be y(-13). Let j = 32 + h. Let k(u) = j*u + 3*u - u**2 - 6*u. Calculate k(-3). 0 Suppose -16 = 2*u + 3*f, -4*u + 4*f - 3 = 49. Let v(q) = -q**2 - 5*q + 8. Give v(u). -58 Let x be (-64 - -66) + (-1 - -1*1). Let k(l) = 29*l**2 - 13 - 10*l - 58*l**2 + 28*l**x. Give k(-6). 11 Suppose -50*g - 2 = -51*g. Let i(p) = -p**3 + 5 - 71*p**2 + 69*p**2 + g - 4. Calculate i(0). 3 Let a(k) = k**2 - 2*k - 150. Let c be (-3)/(-12) - 19/76. Calculate a(c). -150 Suppose -4*d - 2*p - 1141 = -1157, -3*d + 3*p = 6. Let w(n) = n - 2. Let l(h) = 2 - 2 + 1. Let i(c) = d*w(c) + 3*l(c). Give i(4). 7 Let t(u) = -2*u**3 + 4*u**2 - 2*u - 2. Suppose -22*b - 8*b + 86 = 13*b. Suppose 0 = 5*v - 9 - 1. Suppose 4*a + a + b*q - 18 = 0, -v*a = -3*q + 8. Give t(a). -6 Let u(h) = -2*h + 52231 - h - 52249 + 5*h - h. Determine u(5). -13 Suppose 3*q + 2*h + 4 = 0, -q - 3 = -0*q + h. Let k(i) = 6*i + i**q - 9 - 2*i**2 + 16. Let v be -4 - ((-50)/10 + -6). Determine k(v). 0 Let b(n) = -2*n**2 + 3*n - 3. Let z(k) = 6*k + 0 - 6 - 4*k**2 + 1. Let r(j) = -j**2 - 71*j - 1263. Let f be r(-37). Let p(w) = f*b(w) + 3*z(w). Determine p(2). -2 Suppose 38 = 8*j - 10. Suppose j = -11*a + 28. Let v(g) = -g + 19 - a + 2 - g**3 + 0*g**3. Determine v(0). 19 Suppose -a + 2*h + 8 = -294, -5*a + 1565 = h. Let d = -319 + a. Let v(i) = i + 4. Determine v(d). -3 Suppose -3*y + 4*y - 3*h = 22, -5*y + h + 40 = 0. Suppose -2*z = -u + 9 + y, -u + z + 11 = 0. Suppose u = 5*l - 4. Let o(m) = 2*m**2 - 2*m - 1. Determine o(l). 3 Let x(o) = 232*o + 925. Let m be x(-4). Let q(v) = -3*v**2 - 5*v + 2*v - 2 - v**3 + 2*v. What is q(m)? 1 Let b be (-9)/3 - -4 - (30/(-5) - -1). Let m(f) = f**3 - 4*f**2 - 10*f - 10. What is m(b)? 2 Let a(w) = -w**3 + 8*w**2 + 2. Let p be 850/110 + 33/121. Calculate a(p). 2 Let x(k) = -k**3 - 7*k**2 + 2*k - 3. Let f = 294 - 29. Let w = -272 + f. Determine x(w). -17 Let l(n) = -9*n**3 - 9*n**2 + 8*n - 7. Let z(x) = -2*x**3 - x**2 + 2*x - 1. Let r(a) = l(a) - 5*z(a). Suppose -4 = u - 5*k + 12, -3*u = -3*k. Determine r(u). -10 Let x(o) = -o**3 + 2*o**2 - o + 17. Let v be 33/(-495) + 6/90. Give x(v). 17 Let f(h) = 18*h + 11*h - 79*h + 26*h - h**2 + 31 + 27*h. Give f(9). -23 Let n(c) be the second derivative of 7*c**3/6 - 11*c**2 - 2*c + 17. Let x(k) = 10*k - 32. Let t(i) = 7*n(i) - 5*x(i). Determine t(-5). 11 Let j(i) = 9*i**2 + 20*i + 88. Let a be j(-6). Suppose -30 = 295*q - a*q. Let o(w) = w + 3. What is o(q)? -7 Let f(o) = 71*o**2 - 2*o + 52. Let x(d) = -12*d**2 - 1. Let k(v) = f(v) + 6*x(v). What is k(-8)? -2 Let d be ((-35)/20)/((-1)/(-4))*-1. Let u(l) = -5*l + d - 2*l + 8*l - 2. Give u(-8). -3 Let l(p) be the first derivative of p**2/2 + 4*p - 1. Let z(a) = 1881*a + 78999. Let n be z(-42). Determine l(n). 1 Let h = -259 + 298. Suppose h*c = 37*c - 2. Let k(y) = -2*y - 1 - 4*y + 0*y. Give k(c). 5 Let x(g) = 4*g**3 + 2*g**3 + 16 - 5*g**3 - 15*g**2 - 16*g. Suppose 5*v - 59 = -4*w, 1122 = 4*v + 1126. What is x(w)? 16 Let j(i) = -i**2 - 4*i - 3. Let p be j(-3). Let u(b) = -3*b + p + b**2 - 4*b + 0*b**2 - 5. Suppose -14*f + 22 = x - 9*f, 0 = -2*x + 2*f + 8. Calculate u(x). -5 Let a(j) be the second derivative of -j**3/6 - 5*j**2/2 + 100*j. Let c be 26/(-5) - (-3)/15. Determine a(c). 0 Let j(w) = 11 - 11 + 3*w. Let a = 76 + -74. Suppose -5*i = -5*y - 8 - 2, 0 = -2*y - a*i - 4. What is j(y)? -6 Let m be (-12)/(-8)*268/6. Let l(z) = 39*z - m*z + 29*z. Calculate l(-6). -6 Let d(n) = n**3 + 5*n**2 + 3*n + 3. Let r = -237 - -237. Suppose 0 = 2*a + 5*i + 3, r = a - 132*i + 137*i - 1. Determine d(a). 7 Let h(u) = u**2 + 6*u - 25. Let g = -3866 + 3866. Determine h(g). -25 Let k(u) = -u**3 + 8*u**2 + 6*u + 6. Let j(f) = -f**2 - f - 1. Let z(t) = 6*j(t) + k(t). Let m = 28616 - 28615. Determine z(m). 1 Let p(m) = -m**3 - 62*m**2 + 2*m + 68. Let h(b) = -b**3 - 74*b**2 + 2*b + 67. Let a(y) = -2*h(y) + 3*p(y). Determine a(-38). -6 Let a be 270/14 - 0 - (-4)/(-14). Let z(u) = -a*u**2 + u**3 - 10*u + 16 + 7*u**2 + 19*u. Give z(11). -6 Let r(b) = -b**2 - 8*b + 14. Let m = -238 - -232. Give r(m). 26 Let f = 905 + -903. Let a(w) = w**3 - w**2 + 6*w - 7. Calculate a(f). 9 Let n(y) = 4*y - 13. Let s(l) = 4*l - 30. Let f(g) = -2*g - 1. Let b(v) = -2*f(v) + s(v). Let i(z) = 6*b(z) - 13*n(z). What is i(3)? -11 Let z(o) = -2*o**2 - 7*o - 7. Let j be z(-1). Let n(s) = 3*s**2 - 5*s - 5. Let x(d) = -17*d**2 + 25*d + 25. Let m(y) = j*x(y) - 11*n(y). Determine m(-6). 11 Let q(m) = 10*m + 4. Let z(w) = 2*w - 1. Let x(p) = -q(p) + 6*z(p). Let g(j) = 7*j - 27. Let k(v) = -3*g(v) + 8*x(v). Determine k(-9). 46 Let y(z) = 12*z + 18. Let x(q) = -11*q - 19. Let a(c) = -5*x(c) - 6*y(c). Let l(v) = -9*v - 7. Let n(i) = -6*a(i) + 11*l(i). Let h = -12 - -10. Calculate n(h). -5 Let l = -55 - -67. Suppose -l = z + z. Let t(c) be the second derivative of -c**3/6 - 6*c**2 + c + 44. Calculate t(z). -6 Let g(f) = -32*f + 135. Let m(h) = 6*h - 7. Let t(b) = -g(b) - 6*m(b). Give t(-22). -5 Suppose -4*a = 2*d + 30, 0 = 4*a - 4*d - 0*d. Let i(w) = w**3 + w + 5*w**2 - 3*w - 2 - 3*w + 4*w. What is i(a)? 3 Let k be ((30 - 2)/2)/(-2). Let h(j) = -1408172*j + 2*j**2 - 4 + 1408189*j + 12. Give h(k). -13 Suppose z + 65 = 2*h, -35 = -h + 21*z - 23*z. Let i(w) = -h*w + 7 - 13*w + 45*w. Determine i(10). -3 Let q be 1 - (5 - 20/2). Let n(g) = -40*g**2 - 1 + 62*g**2 - 7*g - 27*g**2 + g**3 + g. Determine n(q). -1 Let b(j) = -21*j**2 - 339*j - 39. Let k be b(-16). Let f(r) = -2*r + 8. Let l(n) = 2*n - 8. Let w(i) = 3*f(i) + 4*l(i). What is w(k)? 10 Let q = -268 + 269. Let t(u) = -q + 34*u - 17*u - 16*u + 6. What is t(-4)? 1 Suppose 7*v = 6*v + 36. Suppose 0 = -31*q + v*q + 205. Let k = -46 - q. Let m(f) = -f**2 - 2*f + 7. Determine m(k). -8 Let b be 5/(-2) - (5 - (-21)/(-2)). Let r(v) = v**2 + 68*v - 209. Determine r(b). 4 Let c(s) be the first derivative of 3*s**2/2 + 6*s + 759. Let h be (-18)/(-3)*(9/(-3))/3. What is c(h)? -12 Let k be (-18)/(-1) + 11 + (-3 - 8). Let z(a) = 4*a - 77. Let o be z(k). Let j(l) = -l**2 - 5*l. Give j(o). 0 Suppose 306 = 6*m + 144. Let v(r) = r**3 - 27*r**2 + r - 31. Determine v(m). -4 Let n(s) = -8*s + 7*s**2 - 20 - 6*s**2 + s - 399 + 0*s. Let m be n(24). Let x(a) = 16 + a + 0*a**3 + 11*a**2 + a + a**3. What is x(m)? -6 Let y = -182 - -202. Suppose -2*k + y = 3*k, 2*b + 3*k = 24. Let r(w) = -w**2 + 6*w - 4. Calculate r(b). -4 Let n(u) be the second derivative of 13/6*u**3 + 15/2*u**2 + 1/24*u**4 + 9*u + 0. Let l(w) be the first derivative of n(w). Give l(-9). 4 Let g = 0 + 10. Let w(j) be the first
{ "pile_set_name": "DM Mathematics" }
ing order. -42, -7, -1, 9 Put -3, 3277, -4, 1, -1 in increasing order. -4, -3, -1, 1, 3277 Sort 245.7, 2, 18 in increasing order. 2, 18, 245.7 Put 4, 5, -161, 157 in decreasing order. 157, 5, 4, -161 Sort -9, 1, -3, 12, 4 in descending order. 12, 4, 1, -3, -9 Sort 5, -5, -2475664, 2, -1 in decreasing order. 5, 2, -1, -5, -2475664 Put -1/4, -1/5, -4.3, 2/283, -0.5 in decreasing order. 2/283, -1/5, -1/4, -0.5, -4.3 Put -2, 50623, 3, -5 in decreasing order. 50623, 3, -2, -5 Put -28, -3, -4, 32, -0.4 in increasing order. -28, -4, -3, -0.4, 32 Put 5, -688, -5, -1/2 in ascending order. -688, -5, -1/2, 5 Put -19, 104588, 2 in decreasing order. 104588, 2, -19 Put 5, 26, 3, 1, -10, -4 in increasing order. -10, -4, 1, 3, 5, 26 Sort -4, -199, 0, 4, 5. -199, -4, 0, 4, 5 Sort -0.3, 409181, -2/13 in increasing order. -0.3, -2/13, 409181 Put -10380, 2, -4/9, 3/7, -5 in increasing order. -10380, -5, -4/9, 3/7, 2 Sort 29, -559, 8 in decreasing order. 29, 8, -559 Put -18, 0, 1/6, 0.038, 0.3, -1 in ascending order. -18, -1, 0, 0.038, 1/6, 0.3 Sort -1, -2, -5, 1, 17, 781. -5, -2, -1, 1, 17, 781 Sort 5/14, 172, -72 in decreasing order. 172, 5/14, -72 Put 3, 98, -1, 0, -2, 8 in increasing order. -2, -1, 0, 3, 8, 98 Put -3, -3/7, -3/4, -1, -232 in ascending order. -232, -3, -1, -3/4, -3/7 Put 9, -4, -3, 2 in descending order. 9, 2, -3, -4 Sort -0.6, 8, 1, 0.4 in descending order. 8, 1, 0.4, -0.6 Sort -6, -14, 114, -4 in descending order. 114, -4, -6, -14 Put 3/4, -2, 973, 4, -0.03 in ascending order. -2, -0.03, 3/4, 4, 973 Put -68, 11, 5, 22 in decreasing order. 22, 11, 5, -68 Sort 1/2, 1/395, -0.5, -2, -4 in increasing order. -4, -2, -0.5, 1/395, 1/2 Put 4, 281, 1/7, 1, -0.4 in decreasing order. 281, 4, 1, 1/7, -0.4 Sort -1/3, -1/11, -1, 0.5, 188. -1, -1/3, -1/11, 0.5, 188 Sort -6, -4, -21, 2, -3, 4. -21, -6, -4, -3, 2, 4 Sort -13, 20, 5, -1, 4 in decreasing order. 20, 5, 4, -1, -13 Sort 1, -2, -3180, 5, -5 in decreasing order. 5, 1, -2, -5, -3180 Put -12, -1, 332, -5 in decreasing order. 332, -1, -5, -12 Sort -2/3, 2/13431, 2/3, -0.5, -1 in decreasing order. 2/3, 2/13431, -0.5, -2/3, -1 Put -24, 10, -0.08, -1/4, -5 in increasing order. -24, -5, -1/4, -0.08, 10 Sort -10, 154, 3, 0, 2 in decreasing order. 154, 3, 2, 0, -10 Put 17, -2, 31, -4 in decreasing order. 31, 17, -2, -4 Sort 12, -80, -18 in increasing order. -80, -18, 12 Sort 0.09, -4, -14.6, -0.1, -2, 1. -14.6, -4, -2, -0.1, 0.09, 1 Sort 586, -176, -3 in ascending order. -176, -3, 586 Put -1, -6, -284, -5 in ascending order. -284, -6, -5, -1 Sort 1, -3, 3/4, -16/41 in decreasing order. 1, 3/4, -16/41, -3 Sort 0.2, -4, -2/85, -3/4 in increasing order. -4, -3/4, -2/85, 0.2 Put 2, 101403, 4 in decreasing order. 101403, 4, 2 Sort -2, -9, 0, 368 in ascending order. -9, -2, 0, 368 Put -17, 5, -5, 6, 3, 7 in ascending order. -17, -5, 3, 5, 6, 7 Put 3, -2, -3, 4, 0, -2107 in descending order. 4, 3, 0, -2, -3, -2107 Sort 1/7, 5, 2/4341, -1/2 in descending order. 5, 1/7, 2/4341, -1/2 Sort -0.1, -0.3, 0.1, -200 in descending order. 0.1, -0.1, -0.3, -200 Put -5, -3/10, -6, -15, 94 in descending order. 94, -3/10, -5, -6, -15 Put -4, 44, 4, 299 in increasing order. -4, 4, 44, 299 Sort -3, 0.1, -8, -9 in decreasing order. 0.1, -3, -8, -9 Sort 3, 0, 17, 1, 4, -10 in decreasing order. 17, 4, 3, 1, 0, -10 Sort 1, 4, -12, 531 in descending order. 531, 4, 1, -12 Sort 519, -15, -2, 5 in increasing order. -15, -2, 5, 519 Sort 0.00742, 6/5, -3 in increasing order. -3, 0.00742, 6/5 Sort -0.5, -3, 333/250, -2 in descending order. 333/250, -0.5, -2, -3 Sort -5, -192, 3, 2, 1, -4 in decreasing order. 3, 2, 1, -4, -5, -192 Sort 15/2, 1, 4, 0, 0.7. 0, 0.7, 1, 4, 15/2 Sort 0.5, 4, -32.1, -2, 1294. -32.1, -2, 0.5, 4, 1294 Put -2076, -3/7, 0.5, 2/13, 0, -1 in increasing order. -2076, -1, -3/7, 0, 2/13, 0.5 Put -11, 17, -1, 1 in decreasing order. 17, 1, -1, -11 Sort -1, 1, 2, 10, -5, 5 in increasing order. -5, -1, 1, 2, 5, 10 Sort -0.04509, -0.01, 4 in descending order. 4, -0.01, -0.04509 Sort 5000, 5, -2, 1 in increasing order. -2, 1, 5, 5000 Sort 3.77, 0.4, -1.3, 2/11, -5/4 in descending order. 3.77, 0.4, 2/11, -5/4, -1.3 Put -4, 179, 3, 12 in increasing order. -4, 3, 12, 179 Sort -0.5, 313, -3/5, -0.22. -3/5, -0.5, -0.22, 313 Sort 239, -4, -2, 9, 0, 3 in descending order. 239, 9, 3, 0, -2, -4 Sort -5, -23, 0, -3, -29 in ascending order. -29, -23, -5, -3, 0 Sort -1, 7, -18, -296 in increasing order. -296, -18, -1, 7 Sort 2, 2973, 0 in increasing order. 0, 2, 2973 Put -3, -1.02, 896 in descending order. 896, -1.02, -3 Put 4, 2, -24, -5 in descending order. 4, 2, -5, -24 Sort -124, -11, 5, 1 in ascending order. -124, -11, 1, 5 Put 4, 5, 78, 3, 2, 7 in descending order. 78, 7, 5, 4, 3, 2 Put 18, 16, -0.5, -4, 421 in descending order. 421, 18, 16, -0.5, -4 Put -1, -0.2, 112, 169 in descending order. 169, 112, -0.2, -1 Sort 16, 1, -212. -212, 1, 16 Put 3/5, 1/8, 0.5, 46, -17, 0.67 in decreasing order. 46, 0.67, 3/5, 0.5, 1/8, -17 Sort -0.5, 4/9, 0, -438, 1/4 in decreasing order. 4/9, 1/4, 0, -0.5, -438 Put 3, 5, -9, 42, 4, 28 in decreasing order. 42, 28, 5, 4, 3, -9 Put 1, -15, -2834 in decreasing order. 1, -15, -2834 Put -3, -5, 2, 1, -1330 in decreasing order. 2, 1, -3, -5, -1330 Sort 73/4, -0.08, 2/165 in increasing order. -0.08, 2/165, 73/4 Put -2.1, -5, 1, -423 in increasing order. -423, -5, -2.1, 1 Sort 3, 13, -2, -4, -1, 2. -4, -2, -1, 2, 3, 13 Put 2, -1, -3, 5616 in decreasing order. 5616, 2, -1, -3 Put 4, 21, 5, -1.1, -5 in decreasing order. 21, 5, 4, -1.1, -5 Sort 84, 139, 2, 5 in decreasing order. 139, 84, 5, 2 Sort 4/253, 0.2, -1/132 in ascending order. -1/132, 4/253, 0.2 Put 3887, -5, -3 in descending order. 3887, -3, -5 Sort 16, -1, -11866 in descending order. 16, -1, -11866 Sort 3/4, 553, -0.19. -0.19, 3/4, 553 Sort 427, -62, -4, 0.5. -62, -4, 0.5, 427 Sort 11, 0, 2211 in ascending order. 0, 11, 2211 Put -1932, 1, 13, 0 in ascending order. -1932, 0, 1, 13 Sort 243, -4, 17, 4, -3 in ascending order. -4, -3, 4, 17, 243 Sort -291, -6, 0, 5, -1, -5. -291, -6, -5, -1, 0, 5 Put 12321, -3, 2 in increasing order. -3, 2, 12321 Sort -58, -1/7, 2/145 in descending order. 2/145, -1/7, -58 Put -6, 914, 5, -8 in descending order. 914, 5, -6, -8 Sort 1.9, -438, 4. -438, 1.9, 4 Sort 1, -0.3, -2/507, -6 in ascending order. -6, -0.3, -2/507, 1 Put 2972, 4, -5, 3, -1 in decreasing order. 2972, 4, 3, -1, -5 Put 8, 104, 0.089 in ascending order. 0.089, 8, 104 Sort -0.4, -2/11, -2/243, -22 in decreasing order. -2/243, -2/11, -0.4, -22 Sort 1, -9, 163, -3, 0, 4. -9, -3, 0, 1, 4, 163 Sort -4, 144, 0.05, -2/13, 3, 1. -4, -2/13, 0.05, 1, 3, 144 Put -3, -4, -411, -2 in decreasing order. -2, -3, -4, -411 Put 2, 111781, 5 in descending order. 111781, 5, 2 Sort -11, 4, -1, 67, -2, 0 in descending order. 67, 4, 0, -1, -2, -11 Sort -2/3, -49736, -1/5 in increasing order. -49736, -2/3, -1/5 Sort 5, 3, -5, 0, 1368 in decreasing order. 1368, 5, 3, 0, -5 Put 0.4, 0.84, 1/4, 0.1, 34 in increasing order. 0.1, 1/4, 0.4, 0.84, 34 Put 0.4, -19, 214/5 in descending order. 214/5, 0.4, -19 Sort -9, -9443, 0, -1, 4. -9443, -9, -1, 0, 4 Sort 6/73, 1/4, 0, -3, 1 in increasing order. -3, 0, 6/73, 1/4, 1 Put 3, -5819, -4 in descending order. 3, -4, -5819 Put -2/19, -4/5, -3, 0.3, 310 in descending order. 310, 0.3, -2/19, -4/5, -3 Sort -11, 4, 5, -73, -5. -73, -11, -5, 4, 5 Put -8412, -4, -1 in decreasing order. -1, -4, -8412 Put -2, -12, 15, 5, -5 in ascending order. -12, -5, -2, 5, 15 Put -2/3, 0.4, 4/3, 65308 in descending order. 65308, 4/3, 0.4, -2/3 Sort 228, 181, 4, 2 in decreasing order. 228, 181, 4, 2 Put 4, 5, 45, 88, 0 in decreasing order. 88, 45, 5, 4, 0 Put 5, 2, 0, -5, -2, -223 in decreasing order. 5, 2, 0, -2, -5, -223 Put 5, -4/3, 0.3, 0.5, 4.25 in descending order. 5, 4.25, 0.5, 0.3, -4/3 Sort 3/8, -158, 2/3, -0.5, -1. -158, -1, -0.5, 3/8, 2/3 Sort -1/2, 1/4, -0.01, 17, 0.4 in increasing order. -1/2, -0.01, 1/4, 0.4, 17 Put 5, -0.5, -6, 20, 2/7, 619 in ascending order. -6, -0.5, 2/7, 5, 20, 619 Sort -14315, -5/6, -1/3 in decreasing order. -1/3, -5/6, -14315 Sort 5, -30, -5, -3, 4, 2. -30, -5, -3, 2, 4, 5 Sort -6506, 5, -1/3 in descending order. 5, -1/3, -6506 Put 78, -4, -2, -5, -21 in ascending order. -21, -5, -4, -2, 78 Sort -1, -0.2, -0.8, 3, -0.4629 in
{ "pile_set_name": "DM Mathematics" }
ose -3*w + 8*w = 0. Solve -2*h - 4*i - u = w, 2*h - 10 = 3*i + 9 for h. 2 Let c(p) = -2*p**2 + 19*p + 19. Let d be c(18). Let v = -285 - d. Solve -3*x = -a - 7 + v, -4*a - 2*x = 20 for a. -5 Let c(m) = 6*m**2 + m. Let l be c(-1). Let a = -3 + 8. Let k = 317836 + -317813. Solve -q + k = -a*z, -z = 5*q - 6 - l for z. -4 Let q = 127 - 91. Suppose -2 - 94 = 3*h. Let t = h + q. Solve -3*l = t*d + 15, 2*d - 5 = 4*l + 15 for l. -5 Let a(w) = 2*w - 3*w - 18 + w**3 + 4 + w**2. Let c be a(0). Let m = c - -24. Solve 5*r - 5*k - 25 = 0, 5*r + 5*k - m = 3*r for r. 5 Let q(p) be the second derivative of 2*p**3/3 - 23*p**2/2 + 4*p. Let u be q(8). Suppose 2*s = 3*s - u. Solve 3*i - s = -2*b, b + 2*b - 3 = -i for b. 0 Let l = -42 + 38. Let f(h) = -h**2 - 5*h - 2. Let w be f(l). Solve 4*i + 3*o - 3 = -0, -1 = -3*i - w*o for i. -3 Let a = 1519 + -1512. Solve -a*h + 4*h + 6 = -3*p, 2 = -4*p - 2*h for p. -1 Suppose -5*d - 938 = a, -6*a - 4*d + 2833 = -9*a. Let f = a + 947. Solve 6*o = -j + o + 14, -2*j = -f*o + 14 for j. -1 Let y = 353 - 353. Suppose y = 124*u - 114*u - 20. Solve -u*v = -2*d - 6, -5*v = 5*d + 51 - 16 for d. -5 Suppose -2728*t = -2731*t - 21, -5*p - t = -28. Solve -u - 2*q = -6, 10*u + 5*q = p*u + 14 for u. -2 Suppose -12*l - 222*l + 60 = -642. Solve -l*q = -4*z - 18, -5*z - 5*q - 2 = 3 for z. -3 Let s be (10 + -7)/(-2 - -3). Let r(z) = 31*z + 13. Let v be r(s). Suppose -105*m - 2 = -v*m. Solve 0 = -5*f - 2*l - 2*l - 45, 4*f + 30 = -m*l for f. -5 Let a be (111/6 - 2)/((-66)/(-748)*17). Solve 0*k - 2*k + a = 5*l, 2 = 2*k - 4*l for k. 3 Let y = 2282 + -2277. Let x be (-3*(-8)/(-24))/((-2)/2). Solve x = -3*v - 4*w + y*w, -12 = -3*w for v. 1 Let z(v) = 124*v - 100. Let d be z(1). Solve -j - 2*i + 17 = d, 4*j - 5*i = -15 for j. -5 Suppose 491*c - 505*c + 42 = 0. Solve 0 = 4*j - 3*o + c, -13*j + 11*j = -o + 1 for j. 0 Let t(d) = -d**2 - 35*d + 4. Let v be t(-35). Suppose 3*n + 26 = v*u, -5*n + 2*n - 1 = u. Solve 5*y - 1 = 2*y - 2*b, y - u*b = -11 for y. -1 Let g = -357 + 357. Suppose t - 2*m + 1 - 4 = g, -2*m + 17 = 3*t. Solve u + 14 = -t*c, -2*u = 3*c + u + 18 for c. -2 Let w be (-2)/(2*1) + (-7434)/(-531). Solve -3*o + 8*m = 4*m - w, -5*o - 4*m - 21 = 0 for o. -1 Suppose -27 = 2*d - 3*q, 10*d - 5*q + 65 = 5*d. Let i be (-150)/d - 4/(-8) - -5. Solve -f + 5 - 1 = 0, 2*y - 4*f + i = 0 for y. -1 Let i = -3225 + 3232. Solve -4*v - 12 = -4*o, -2*o + v = -i*o - 3 for o. 0 Suppose 3*z + 2*w = -159, -2*w + w - 3 = 0. Let m = z + 67. Let k = m - 12. Solve -14 = 2*c + k*q, 3*q + 2 = q for c. -5 Let r(q) = q**2 - 12*q - 102. Let p be r(18). Let w be ((-4)/p)/((-2)/6 - 0). Solve -u = -3*z, 3*z = 3*u - w*z for u. 0 Let x be (-2)/8 + (-108)/(-48). Suppose 0 = -o - g + 3, -2*g = o + 19 - 20. Solve 0 = -5*n - 3*q - 24, o*q = n + x*q - 6 for n. -3 Let g(p) = 2*p**2 - 25*p + 38. Let i be g(11). Solve 2*h - 3 = -j - i, 5*j = 4*h - 10 for j. -2 Let i be 96/(-22 - 2)*1*-1. Suppose 0 = -2*q - 12 - 16. Let w = q - -18. Solve -5*v + i*o = -3*v - 16, -w*v = -2*o - 20 for v. 4 Let q be (-7)/(-2)*(12 - (3 + 5)). Solve 2*v + 4*i = q, 8*v = 9*v + 5*i - 13 for v. 3 Suppose 3*k + 6 = 21. Suppose k*g = 5*h + 5, 4*g - 19 = -2*h - g. Suppose 15 = 5*o - 2*b, -3*b - 1 + 7 = 2*o. Solve 0*r - o*p = -2*r + 13, -h*r - p = -9 for r. 5 Let h(z) be the first derivative of -z**4/4 - 2*z**3 + z**2 + 3*z + 7. Let o be h(-7). Let j = -21 + o. Solve 4 = -4*v + 5*s, -5*v - 2*s + j = -11 for v. 4 Let x be ((13/3)/(3 - (-140)/(-45)))/(-3). Solve -10*d + 4*w = -x*d, 2*d - 3*w = 0 for d. 0 Suppose -7 = -9*k + 11. Suppose -k*j = -12 + 6. Let r = -3 - -6. Solve -5*u + 8 = r*l, 0*l - j*u = l - 8 for l. -4 Let o(p) = p**3 + 49*p**2 - 117*p - 664. Let f be o(-51). Solve -1 = f*w - 100*w, 11 = 3*b + 4*w for b. 5 Suppose 13*w - 15*w = -32. Suppose -2*v = 2*v - w, -3*r - 5*v + 50 = 0. Solve -3*b - r = -4*i - 4*b, -5*i + b + 17 = 0 for i. 3 Let o be 15*(-7 - -3)/(-20). Solve 2*d + o*i = -10, d = -10*i - 12 - 10 for d. -2 Let n(s) = -3*s**2 + 83*s - 489. Let l be n(19). Solve -3*z = -l*a - 137 + 133, 3*z = -4*a + 13 for a. 1 Suppose -172*q + 168*q + 2*z + 12 = 0, 0 = -2*q - z + 2. Solve 5*i + 3*v + v = -13, q*i - 3*v + 19 = 0 for i. -5 Suppose 3*j = -3, -88 + 107 = 4*n + j. Solve a + 2*c = -6 - 9, 5*a = n*c for a. -5 Suppose k = 6*k - 5*y - 20, -5*k + 2*y = -17. Suppose -7 = -b - 5. Suppose 5*q + 7 = s, 2*s = 2*q - 3*q + 3. Solve -s = -2*m - 5*j, -b = -k*m - j + 1 for m. 1 Let c(y) = -y**3 + 16*y**2 + 107*y - 29. Let a be c(21). Let x be 5/(-1) - (a + 1)/(-1). Solve -4*q - 2*r + 5*r = -x, -12 = 4*r for q. 0 Let v = -11996 + 12011. Let d be 5/4*4*1. Solve -5*r = -v, 22 = d*g + 2*r - 3*r for g. 5 Suppose 2*b + 3*h = 13, -5*h + 6 = 3*b - 14. Solve 17 = n - 4*t, -4*n + b*t + 35 = -0*t for n. 5 Let y(g) = -g**2 - 5*g + 3. Let n be y(-5). Suppose -114*h + 95*h - 4*x = -94, 0 = 3*h - 5*x - 43. Solve w = -n*j - 12, 3*w = j + 4*j + h for j. -3 Let p be (5/(-3))/((-24)/72). Suppose -147 - 63 = -6*b. Suppose 0*k - 9 = -3*k. Solve p*v - b = 5*q, -5*q + 0*v + k*v = 29 for q. -4 Suppose -4*n + 3*s + 25 = -2*s, 0 = 2*n - 4*s - 8. Suppose 2*a + n = 2*i, -5 = -4*i - 3*a + 1. Solve i*f - 13 = w, -4*f + 9 = -5*w - 3*f for w. -1 Let y(o) = 1. Let b(z) = 23*z - 278. Let m(s) = -b(s) + 3*y(s). Let k be m(12). Solve -g - 8 = n, 0 = -k*g - 4*n + 22 - 59 for g. -5 Let p(t) = -t**2 - 11*t + 63. Let k be p(4). Solve -3*o + 5*h = -1 + k, 5*h - 3 = 2*o for o. 1 Let z be (-2)/(-6) - (5320/(-15))/(-8). Let g be 6*(z/(-4 - -2))/6. Solve -c - g = -5*d, 4*c + d + 1 - 18 = 0 for c. 3 Suppose 29*l - 6 = 26*l. Let k(a) = -a**3 + 24*a**2 + 2*a - 45. Let t be k(24). Suppose t*i = 2*i + 8. Solve 3*f - i = p, -4*f + l = 2*p - 2 for f. 2 Let z(g) = -g**3 - 3*g**2 + 8*g + 19. Suppose 4*d + 48 - 38 = -2*c, -2 = -d - 2*c. Let f be z(d). Solve 5*u = b - 6 - f, -4*u = 8 for b. -1 Suppose 1903*f = 1907*f - 8. Solve 11 = -3*y - 3*r + f, -4*y = r + 6 for y. -1 Let b(n) = 0*n - n**2 - 2*n**3 - 2*n**3 - n. Suppose -12 = 4*d - 2*h, 101*d + 4*h - 17 = 102*d. Let c be b(d). Solve -c*v = -i, i + 0*i = 5*v for i. 0 Let a(s) = -s**3 + 23*s**2 + 197*s - 75. Let b be a(-7). Solve -11*t + 12*t - 3 = 4*c, -3*c = 2*t + b for t. -5 Let n = -3128 + 3133. Solve i = g + 4, 7*g = 11*g + n*i + 25 for g. -5 Suppose 0 = 337*j - 419*j + 410. Solve -15 = -3*n + 3*m + 6, j*n + 5 = -5*m for n. 3 Let z = 230 + -227. Suppose 3*k + 2*b - 11 = 0, -z*k - 6*b = -9*b - 6. Solve -4*i - i + 2 = k*d, 2 = 2*i for d. -1 Let h = -141 - -156. Let i be (-2)/(((-48)/(-20))/(-6)). Solve -5*v - 28 = -i*b + 17, 5*b + v = h for b. 4 Let z = 1776 + -1774. Solve -5*t = -z*n + 28, 0 = 16*t - 19*t - 4*n + 4 for t. -4 Suppose 2*u - 9 = -3*v - u, -3*u = -5*v + 31. Let w be (-1)/10 - (-3933)/230. Solve -z + 6*z + w = 4*h, v*h = -2*z + 13 for z. -1 Let x(k) = 7*k**2 + 158*k - 158. Let g be x(1). Solve -t = -4*z - g, 0 = 2*t - 12*z + 10*z - 2 for t. -1 Suppose 2*w - 4 = -2*a, 0*a - 4 = -2*w + 2*a. Let c(x) = -x**2 + 10*x - 11. Let v be c(w). Solve 4*u + 2 = v*s, -2*s + 5*s + 12 = -2*u for u. -3 Suppose -2*v + 136 = -6*v. Let j = 89 + v. Suppose x - 6*x = -5*i + j, -3*x - 3 = -i. Solve -4*u - i = -t, -2*u - 4*t = -3*t + 15 for u. -5 Suppose 18*x - 10*x - 27 = 21. Solve 2*k + 2*g - 3 = 3, x = -3*k + 2*g for k. 0 Let o(r) = r**3 - r**3 - 7 + r**3 + 11*r**2 - 3 - 6*r. Let m be o(-10). Suppose -3*z + m = 2*z. Solve -b = 4*b - 2*d + 35, 0 = 3*b - 3*d + z for b. -5 Let l(r) = -r**3 - 85*r**2 + 450*r + 3. Let x be l(5). Solve -4*k + 34 = -2*g, -x*g - 26 - 1 = -2*k for g. -5 Let x(b) = 3*b - 156. Let j(d) = -6 - 22 + d + 4 - 15. Let w(a) = 15*j(a) - 4*x(a). Let v be w(-12). Solve -4*s = -v*p + 16, 0 = 4*s - 4*p + 4 + 16 for s. -1 Suppose q - 40 = -4*q. Let t be (-4202)/(-198) - 2/9. Suppose -t*u - 156 = -198. Solve 4*h = -5*y + q, -h = y - 0*h - u for y. 0 Let d be (-15)/6*5*(-16)/10. Let i(l) = l**3 - 22*l - d*l**2 + 10*l**2 - 10 - 3. Let r be i(12). Solve -4*s = -4, 0*s = -4*n - s - r for n. -3 Let u = 3530 - 3526. Solve -2*r = -3*l + 11, 2*r - u*l = -19 + 3 for r. 2 Let s = 3674 + -3644. Solve 0 = 2*f - 3*m - 4 + 25, 0 = 5*f - 3*m + s for f. -3 Suppose 0 = 72*u - 534 + 102. Solve -l - 4*l + 5*h = -10, -3*l + 2*h = -u for l. 2 Suppose -17*u + 4*u + 143 = 0. Let x = u + -10. Solve -5*i + p = -0*i + x, -p + 1 = -3*i for
{ "pile_set_name": "DM Mathematics" }
9 or 0? 186/1919 Which is greater: -0.02766 or -1.74? -0.02766 Is -2/23 at most as big as -49729? False Are -5447 and -5387 nonequal? True Is 11742 bigger than 11744? False Is 114 greater than 9131/81? True Which is smaller: 0 or 3/13159? 0 Is -11617809 equal to -11617809? True Which is smaller: 69 or 12911? 69 Which is smaller: 6481 or 6493? 6481 Which is greater: -0.5 or 7.0162? 7.0162 Which is smaller: -1/59192 or 1? -1/59192 Are 8187 and 8192 equal? False Do -108151 and -108151 have the same value? True Is -3168 less than -0.11? True Which is greater: -1 or 13/51052? 13/51052 Do 31/165 and 218 have different values? True Which is bigger: 249767 or 749303/3? 749303/3 Is -1898044/13 equal to -146004? False Do 1/90016 and -1 have different values? True Which is smaller: -10061 or -10110? -10110 Is -201999/11 != -18363? True Is -0.2 at most 1.509392? True Is -718207 equal to -718208? False Which is greater: -324 or -333? -324 Is -53413 not equal to -53427? True Which is smaller: 1.2 or 971? 1.2 Which is greater: 0 or 4/236513? 4/236513 Which is bigger: -3804 or -3813? -3804 Which is smaller: -354 or -16301/46? -16301/46 Does -4/760453 = 0? False Which is smaller: -0.3 or -8043/2? -8043/2 Which is smaller: 16 or 2.667? 2.667 Which is smaller: -14685 or -14723? -14723 Is 4192 smaller than 4112? False Which is smaller: -443828 or 0.04? -443828 Which is smaller: 507 or 516? 507 Which is smaller: -99147 or -99143? -99147 Which is greater: 1 or 47308? 47308 Do -8 and -1007/130 have the same value? False Which is smaller: -4564/1077 or -4? -4564/1077 Are 0.051976 and -1 nonequal? True Which is smaller: -4/62317 or -1? -1 Are 303961/5 and 60792 nonequal? True Which is smaller: -638 or -1244? -1244 Which is smaller: -80 or -5/2? -80 Is -2572 <= -2574? False Are -28369 and -28371 non-equal? True Is -391 less than -93786/239? False Is 433 equal to 275? False Which is bigger: -4249904/5 or -849981? -4249904/5 Is 592 at most 565? False Which is bigger: -13/96470 or 2/3? 2/3 Is -1720 at most 10? True Is -7993 < 5? True Is 24 greater than or equal to 15261/653? True Which is greater: 2828 or 2897? 2897 Is 39968 less than 39965? False Which is smaller: -242235 or -484471/2? -484471/2 Which is smaller: -234898 or -234899? -234899 Are -19658 and -19637 nonequal? True Which is smaller: -9310 or -9309? -9310 Are 3 and 1431/353 unequal? True Which is smaller: 2/4672507 or 0? 0 Is -63861 at most as big as 1/3? True Is -24336 < -121674/5? True Which is smaller: 7459 or 7419? 7419 Which is bigger: -78 or -41764? -78 Which is smaller: 211980 or 211979? 211979 Do -9896 and -2/329 have the same value? False Which is smaller: 1381177 or 1381176? 1381176 Which is greater: 1 or -37/2609? 1 Which is greater: -4 or -523/169? -523/169 Is -15 at most -0.8577? True Is -57144 <= -57144? True Which is bigger: 5/265798 or -1? 5/265798 Which is smaller: -46276 or -46281? -46281 Which is bigger: -475695 or 1? 1 Which is smaller: -146 or -230? -230 Which is smaller: -1398 or -1095? -1398 Is 10538 <= 24/5? False Is 0 <= -12/7597? False Are 167 and 4526/27 nonequal? True Which is bigger: 95925 or 95932? 95932 Is 47 smaller than 1538? True Is 0 greater than 13/4151? False Is 0 >= 22613? False Is 920740 at least as big as 920737? True Is -2 > -113/151? False Is 1 smaller than -405955.1? False Is 118 smaller than 81? False Which is greater: 0.215 or -100? 0.215 Do 1438/937 and 1 have the same value? False Which is greater: 10 or 47812? 47812 Is 674198 greater than or equal to 674205? False Which is greater: 56.0832 or 3? 56.0832 Which is greater: -1501695 or -1501698? -1501695 Which is greater: 44914 or 44915? 44915 Is 1071 less than -31? False Is -9500 >= 3? False Which is smaller: 23/14 or -110/9? -110/9 Is -0.057602 less than or equal to 1/5? True Is -1 less than or equal to -2/64373? True Which is smaller: 597264 or 4180852/7? 597264 Which is smaller: 1378 or 44? 44 Which is smaller: 1643 or 0.2? 0.2 Which is bigger: -2 or -22215? -2 Which is bigger: 37174 or 148691/4? 37174 Which is smaller: 4/7 or 4288? 4/7 Which is smaller: 1 or -6/26015? -6/26015 Which is smaller: -12 or -249585? -249585 Does -2/15 = 6913? False Which is smaller: 1704761/3 or 568253? 568253 Is 2.04902 smaller than 0.13? False Which is smaller: -1467 or -53? -1467 Are -2816561 and -2816561 unequal? False Which is bigger: -11/5668 or -1? -11/5668 Which is smaller: -1154759 or -1154758? -1154759 Which is smaller: 901356 or 901358? 901356 Do 41 and -0.1981 have different values? True Is 168 bigger than 8593/51? False Is -25605 less than -25606? False Is -65 <= 6409? True Which is bigger: -1/124 or 226? 226 Is -2 at most 3982? True Which is smaller: -33495 or -33496? -33496 Does 1 = -2/1878775? False Does 1399/65 = 21? False Is -517.1 greater than or equal to 3? False Which is bigger: -362337 or -1/2? -1/2 Which is greater: 309 or -1/74? 309 Are -4 and 4/9045 non-equal? True Is -13554/47 at most as big as -289? False Which is smaller: 370 or 154? 154 Does -9127 = 1? False Is 9096 smaller than 72779/8? True Is -10952 < -10926? True Which is greater: 0 or 2/342491? 2/342491 Which is smaller: 43.055 or -2/5? -2/5 Do 48136 and 48156 have different values? True Which is bigger: 0 or -0.221241? 0 Is -3101/25 >= -1? False Which is smaller: -34 or 7179? -34 Which is bigger: 6 or -8282/5? 6 Do -12270 and -12238 have different values? True Which is greater: -480 or -275? -275 Does -1/68 = -3/2? False Are 687 and 13.44 nonequal? True Is -11038 equal to -11041? False Is 36910/3 smaller than 12304? True Do 53472/31 and 1726 have the same value? False Which is smaller: -126/25427 or 1? -126/25427 Is -15/1113563 greater than or equal to 1? False Is 246 at least as big as 15984/65? True Which is bigger: -0.023893 or 1? 1 Do -4/3099633 and -1 have different values? True Which is smaller: -13627/101 or -136? -136 Are -3609 and -3849 equal? False Which is bigger: -19569 or -371836/19? -19569 Which is smaller: 2 or -36/14065? -36/14065 Which is smaller: -1/281313 or 0? -1/281313 Which is smaller: 2220 or 3/2? 3/2 Is -1 greater than or equal to -54/19085? False Is -20 < 0.0429? True Which is smaller: 18 or 1.644? 1.644 Which is bigger: 1 or 28/711? 1 Do -94 and -251 have different values? True Which is bigger: -2 or -738/685? -738/685 Which is smaller: 0 or -72/2423? -72/2423 Which is greater: -1 or -3/18707? -3/18707 Is -276821 less than -276820? True Which is smaller: -10236/11 or -931? -931 Which is greater: -17088 or -17017? -17017 Is 6324128 at most 6324128? True Is -10 at most as big as -6150/629? True Which is greater: 74 or 58763? 58763 Is -1 less than or equal to -209.55? False Is 82/4603 at least 0? True Is -76/9269 greater than 1? False Which is smaller: 175/561 or 1? 175/561 Which is bigger: 49726 or 49724? 49726 Which is smaller: -501541 or -501542? -501542 Is -929 equal to -915? False Which is greater: -1801 or 5/2? 5/2 Which is bigger: -1 or -4/26797? -4/26797 Are 1 and -42190.7 nonequal? True Is -97603 not equal to -7? True Which is greater: 39101 or 39100? 39101 Are 29/4 and -423 unequal? True Is 257 >= 28901/113? True Which is smaller: -95562 or -95550? -95562 Which is bigger: -1 or 2/1212465? 2/1212465 Is -2/3 at least -125.591? True Which is smaller: 1011 or 37? 37 Is 16/190713 smaller than 1? True Is 38447 != 38432? True Which is smaller: 350840 or 350839? 350839 Which is smaller: -3.9 or 95? -3.9 Which is greater: -451314 or -451317? -451314 Is -176770 at least as big as -176770? True Which is smaller: -106810 or -106811? -106811 Which is bigger: 4 or 353094? 353094 Is 36/277 greater than or equal to -45.9? True Which is greater: 1925947 or 1925946? 1925947 Which is greater: -35561 or -0.07? -0.07 Which is smaller: 21 or 2598/121? 21 Which is smaller: -1 or 1/15165312? -1 Is 3242080 greater than 3242080? False Is -75331/3 smaller than -25111? False Are -2/48871 and 0 non-equal? True Is -297566 at most -297572? False Which is bigger: 5377884 or 5377885? 5377885 Which is bigger: 0.038 or 112/5? 112/5 Is -55 < -8591/160? True Is -472/145 less than 2/9? True Are 35981 and 35977 equal? False Which is smaller: -10 or -1112/127? -10 Which is smaller: 0 or 3/124022? 0 Which is bigger: 0.984 or -17? 0.984 Is 14837 bigger
{ "pile_set_name": "DM Mathematics" }
= 3*j - 18. Solve 0 = -v*y + 10, 4*o = -y - 4*y - j for o. -4 Let j(i) = -3*i**2 - 12*i - 23. Let s(g) = g**2 + 6*g + 11. Let x(v) = 2*j(v) + 5*s(v). Let u be x(7). Solve -t + 4 = -0*t, 4*f - 12 = u*t for f. 5 Let o be (4 - (1 - 0)) + 0. Let d be ((-5)/(-4))/(o/12). Suppose -3*t - 10 = m, 3*m + 4*t + 9 = -1. Solve 0 = -d*p + 25, 2*f + m*p + 2*p = 18 for f. -1 Let b be (-1)/(-3) + (-3)/9. Let v(n) = -n**3 + n**2 + 3*n - 2. Let s be v(2). Suppose -r + 2*r - 5 = s. Solve -m + 4 = b, r*u - 5*m + 29 = -1 for u. -2 Let r be 6/(-9) - 24/(-9). Suppose 2*m - 2*u = -m + 21, -5*u = -r*m + 14. Let i be (-4)/(-28) + 27/m. Solve i = -5*j - 2*s - 8, 3*j - s + 5 = 0 for j. -2 Let v = -11 + 18. Solve 0 = 4*g - b - 4*b - 13, 5*g + 3*b = v for g. 2 Let k be 90/3 + -1 + 0. Suppose -2*q + 85 = k. Solve -4*i + 3*h - q = 0, 3*i - 5*h + 40 = -2*i for i. -4 Suppose -2*j + 3*c = -c + 2, -2*c = -2*j + 4. Solve 3*v + 3 = -2*s, j*v + 0*s + 27 = 4*s for v. -3 Suppose -75 + 23 = -4*z. Let y = z + -11. Let w = 2 + -1. Solve q = -w, 0 = -4*i + 3*q + y*q + 9 for i. 1 Let m(v) = -v**3 - v**2 + 2*v + 3. Let h be m(-2). Suppose 0 = h*s + 3*r - 10 + 4, -4*s + 4*r + 32 = 0. Solve 5*j = 5*o, -s*j + 16 = 5*o - 24 for j. 4 Let t(h) = 5*h**3 + 3*h**2 + 8. Let a(s) = 14*s**3 + 9*s**2 + 23. Let n(c) = 4*a(c) - 11*t(c). Let u be n(-3). Solve -2*g + 4 = -j, -u*g + 2*g = 2*j - 10 for j. 2 Let k be (-51)/(-2) + (-7)/(70/(-15)). Solve -3*z + 18 = 2*p + 3, -5*p + k = 4*z for z. 3 Let h = 1 + 0. Solve 2*b - 3*b + h = 0, 0 = 2*w + 2*b + 6 for w. -4 Suppose 0*p = -3*p + 3. Solve 4*x + m - 14 = -4*m, -5*x + p = -2*m for x. 1 Let m be 74/4 - (-2)/(-4). Let l = -70 + 103. Suppose -2*v + l = 3. Solve -3*i = -0*j + 4*j + m, 0 = -3*i - 3*j - v for i. -2 Suppose -5*w + 23 = 8. Solve -2*k + k = w*r - 12, -5*r = -5*k for k. 3 Suppose 24 = 2*f - 12. Let h = -6 + f. Suppose 2*u + u - h = 0. Solve -c = -w - 4, u*c + c - 5 = 0 for w. -3 Let x = -1 - 2. Let j(m) = m**2 + 12*m - 2. Let f be j(-12). Let t = f - x. Solve 4 = -r + 2*p, -2*r - t = -p - 2 for r. 2 Let n = 7 - 9. Let m be (n - -7)*(0 - -2). Suppose 4*l - 10 = 5*z, 6*z - z = l - m. Solve 5*w = l, 4*h + 2*w = 7*h - 15 for h. 5 Suppose -2*k = q - 12, -q - 4 = -k - 1. Solve 0*f + 3*f = 3*t - 12, 8 = 4*t - q*f for t. 0 Let m = 0 - -2. Let i(s) = 5*s**m + s**3 - 2*s + 5*s - s**2. Let y be i(-2). Solve 4*a = 3*h - 23, -3*a + 19 = 3*h + y*h for h. 5 Let z be -3*(-4)/(-6) - -3. Suppose -3 = -2*f + z. Solve 2*c - 6 = f*q, 0 = 3*c - 2 - 4 for q. -1 Let b = -16 + 29. Let q = 5 - b. Let j be ((-1)/(-2))/((-1)/q). Solve -j = -n - 2*w, n + 0*n - 2*w - 4 = 0 for n. 4 Let q be ((-260)/(-78))/(2/3). Solve 2*o + o = -3*x - 9, -x + 21 = -q*o for x. 1 Suppose 2*h + 12 = 5*f, 3*f + 8 = 6*f - h. Let t(b) = -b**3 + 5*b**2 - 5*b + 3. Let x be t(4). Let p = f + x. Solve -p*k - 1 = -z + 4, 5*z - 9 = -k for z. 2 Let q be -8 + 8 + (1 - -3). Solve -4*v + 28 = -4*w, 5*w = -5*v + q*w + 11 for v. 3 Suppose -3*p - 8 = -4*b + 2, -4*b = 2*p - 20. Solve 0*s + b*x = 2*s - 20, -5*s - x - 5 = 0 for s. 0 Let b = 172 + -122. Let w be (30/25)/(3/b). Let x(a) = -2*a**3 - 4*a**2 - 3*a - 2. Let l be x(-2). Solve -3*p = -2*i + w - l, 5*p = -20 for i. 2 Let o be 63/12 - (-3)/(-12). Suppose 4*w - 115 = -0*m + o*m, 0 = 4*w + m - 121. Suppose 3*n - n - 20 = 0. Solve a + a - w = -4*s, 0 = 2*s - 4*a + n for s. 5 Let t = -13 - -8. Let c = 0 - t. Solve c*o - f = -5, 2*f - 6*f = o + 22 for o. -2 Suppose -5*s = -15, y = 3*y - s - 5. Suppose -3*h - 2*h = 0. Let a be (6 - -6)*(-2)/(-8). Solve x + 3*x - y = 0, 2*f + a*x + 7 = h for f. -5 Suppose -3*t = -4*t + 2. Let y(g) = 2*g**3 + 7*g**2 - 4*g + 1. Let m be y(-4). Let d be 1/m*(t - 0). Solve -d = 3*u - 5*u - n, -4*n = u + 6 for u. 2 Suppose 5*l - 3*t + 2 = 4, 4*l - 3 = t. Let m(i) = -1 - 1 + 1 + 36*i. Let v be m(l). Solve -v = -5*b + 2*h, 2*b - 5*h - 49 + 14 = 0 for b. 5 Let d(k) = k**2 - 6*k - 8. Let s be d(7). Let g = -1 - s. Suppose g = x - 6 - 1. Solve -3*f + 11 = r - 6*r, -x = -2*f + 3*r for f. 2 Let s(j) = -j**3 - 6*j**2 - 3*j + 7. Let q be s(-5). Let o be 2 - (-3 - q)*-1. Solve 4*w - 4*r + 8 = 0, 0 = -3*w - 0*w - o*r + 14 for w. 2 Suppose -2*q - 80 = -6*q. Let i = q - 16. Solve -a - t + 2 = 0, t = -3*a - 0 - i for a. -3 Let f be 22 + 0*1/(-2). Solve 2*c - 5*j = 16, 0*c - f = c + 5*j for c. -2 Let l be -1 - -38*1/2. Suppose 5*r - 12 = l. Suppose 25 = 2*m + 3*g, -3*m - g + 20 = -0*m. Solve 3*u = m*j - 15, r*u + 9 = 3*j + u for j. 3 Suppose -22 = 2*w - 4. Let m be (-6)/w - 31/(-3). Suppose -4*s = -2*s. Solve 9 = 3*c - n, -5*c + 4*c + 5*n - m = s for c. 4 Let c(b) = 3*b - 4. Let o be c(3). Let t = 3 + -1. Suppose t*i - 29 - 33 = 0. Solve 3*s = o*j + i, -5*s + 30 = -4*j - 0*s for j. -5 Let c be (-5)/1*4/(-10). Let a be 8/(32/84) - 3. Let r be (-1 - -2)*-1*-3. Solve -3*z = -r*b + a, 3*b + 7 = c*z - 4*z for z. -5 Let m = -164 - -165. Solve 5*a + 3*p = -5, 3 = -2*a - 5*p + m for a. -1 Let c = 5 + -1. Solve c*k + 4 - 11 = -r, 0 = -4*k + 4 for r. 3 Suppose 80 = -x + 5*x + 4*q, -5*q = x. Solve 0*f - 16 = 2*f + 2*h, 5*f + 2*h + x = 0 for f. -3 Suppose -d = d. Let i(o) be the second derivative of -o**3/3 - 4*o**2 + o. Let r be i(-6). Solve 0 = -d*u + r*u - 8, -2*u + 1 = -3*j for j. 1 Let z(v) = -v + 2. Let k be z(-1). Solve -2*j + 4*g + 3 = -k, 5*g - 30 = -5*j for j. 5 Suppose -a + 0*a = 5*t + 15, -10 = 2*a + 5*t. Solve 3 = 3*q + a*r, q - r + 10 = r for q. -4 Suppose 11 = 4*p - 1. Suppose -258 - 75 = -p*c. Suppose 4*g - c = 4*q - 7, g = -4*q + 51. Solve -3*s = -5*z + g, z = -4*s - 3*z + 12 for s. -2 Suppose t = 3 - 1. Let u be 8/8*(t + -1). Let q = 2 + u. Solve 3*r = q*i, -7*i + 2*i = -25 for r. 5 Suppose 4*s = 8 - 0. Suppose -4*j = -12 - 0. Solve -c - s*p + 3 = 0, 0*p = 2*c - j*p + 22 for c. -5 Suppose 5*p + j = 290, 106 = 4*p + 4*j - 110. Suppose -4*g + p = 15. Solve z + 5 = 4*m, -5*z - 3*m = g + 14 for z. -5 Let b be 1/((-7)/4 + 2). Suppose -m - 5*s = 6, 3*m = -m - 2*s - 6. Let g = 4 + m. Solve 4*p + 4*u = -g + 23, -b*p - 5*u = -21 for p. 4 Suppose -3*z + 260 = -7*z. Let u be 37/13 + (-10)/z. Solve -u*d = -3*h + 13 + 14, -2*d = h + 6 for h. 4 Let d be 1*1/((-2)/(-10)). Let a be 22/(-55) - 4/(-10). Solve a = -d*u + 9 + 1, -3*m = -2*u + 10 for m. -2 Suppose -2*t + 181 = 3*v + 3*t, -5 = -t. Suppose 6*l = 2*l + v. Suppose -2*x = -3*g, x + 4*x = g + l. Solve g*p = 5*w - 21, -13 = -p - 5*w + 14 for p. 2 Let p(g) = -g**2 - 7*g - 5. Let v be p(-5). Suppose -2*w = -v*f + 15, w + 5*f = 22 + 8. Suppose -y = -w*y. Solve -a + y = r + 1, 5 = -r + a for r. -3 Let c be (1/(-3))/(1/(-6)). Let l = c - -3. Let y = 11 - l. Solve -2*d - 4*z + y = 0, -d + z + 3 = -3*z for d. 3 Let p(i) = -11*i**3 + i**2 + 2 - i + 2*i + 10*i**3. Let h be p(0). Solve 8 = 4*t + 4*c, 0 = -0*t + t - h*c - 8 for t. 4 Let p = 99 - 36. Suppose -4*o + 4*q + 56 = 12, 5*o - 3*q - p = 0. Solve 5*h - o = 0, 4*l + 2*h = h - 1 for l. -1 Let f = 1 + -2. Let n(a) = 2*a**2 - 2*a - 1. Let u be n(f). Suppose d = k - 3*d - 11, 2*d - 5 = -3*k. Solve -5*z = -3*s + 19, 0 = -u*z + s + k*s - 18 for z. -2 Suppose -4*q - 3*f = 11 + 58, -q - 5*f - 30 = 0. Let s = -11 - q. Solve 4*o - 4*y - 36 = 0, -2*o + 20 = -s*y - 8 for o. 4 Let y = 6 + -6. Suppose 0*v + 2*v - 12 = y. Let h = v - 3. Solve 0 = 3*w + p - 10, -1 = w - p - h for w. 3 Suppose -13 = n - 4*a + 4, 4*a - 11 = 3*n. Solve 5*t = -5*l - 20, n*l - 13 = 2*t - 0*l for t. -5 Let s(z) = -3*z + 31. Let q be s(9). Solve -5*b + 5 = 5*l - 0, -20 = -q*l for b. -4 Suppose 0 = 4*j - 7*j + 18. Suppose 0 = s - j*s. Let i(b) = -b**3 - b**2 + b + 1. Let w be i(-2). Solve s = 4*c + 2*p - w*p + 2, c = -4*p - 9 for c. -1 Suppose -3*u = -4*g - 0*g, -2*g - 10 = u. Let m = 3 + g. Solve 3*q + 2*q + b + 9 = m, 2*b + 8 = -5*q for q. -2 Let i be (-8)/(-6) - 8/6. Solve 5*q + 2*g - 4*g - 13 = 0, i = q + g + 3 for q. 1 Suppose 3*o = -0*o + w + 37, 4*w = -5*o + 73. Let k(l) = -l + 8. Let s be k(6). Solve -s*c = -7*x + 2*x - o, 5*x = -2*c + 3 for c. 4 Let p(r) = -2*r - 8. Let c be p(-6). Suppose 3*u = -6 + 30. Solve -u = -c*w, 5*z - 4*w + 30 = w for z. -4 Let o be (-45)/(-12) - 1/(-4). Solve -5*c - 33 + 7 = 3*r, 0 = o*r - 2*c for r. -2 Let c(x) = x**2 - 8*x + 9. Let j(p) = -6 - 3 + p**3 + 1 - 2*p + 8*p**2. Let k be j(-8). Let v be c(k). Solve 1 + v = 5*s + 5*t, 0 = -s + 3*t + 14 for s. 5 Let y(a)
{ "pile_set_name": "DM Mathematics" }
+ 7 = 0, h = y - a*g + 3*g - 4 for y. 1 Suppose -7*f = -20 - 15. Solve 5*h - 2 = -o + f*o, -11 = h + 3*o for h. -2 Let c(r) = -r**3 + 7*r**2 - 4*r - 4. Let x be c(6). Let g be ((-4)/3)/(x/(-24)). Solve -4*q = 5*h + 1, -g*q + 0*h - 3*h - 7 = 0 for q. -4 Suppose 0 = 5*n - 1 - 14. Suppose n*m + m = 1296. Let q be m/30 + (-1)/(-5). Solve 2*f = -a - q, -4*f + 0*a = -2*a + 18 for f. -5 Suppose -4*x = -j + 2, 4*x - 5*j + 17 = 7. Solve -2*s = -h - 3, x*s - h = -4*s + 7 for s. 2 Let w be 0 + 1 + 4 - 1. Suppose -1 - 7 = -p + 2*z, -3*p = -3*z - 9. Let y be (-1)/p + 10/w. Solve -2*g = 8, y*v + 4*g + 1 + 30 = 0 for v. -5 Let y = 5 - 10. Let u be (2*y)/(2 - 4). Solve -4*v - 6 = -2*t, 4*v - t + u - 2 = 0 for v. 0 Let l(q) = -5 + 2*q + 0 + 0. Let c be ((-10)/(-4))/((-1)/(-2)). Let t be l(c). Solve -2*r + 3*v - 2*v = 6, 4*r + t*v + 26 = 0 for r. -4 Let w(x) = -x**2 - 8*x + 1. Let a be w(-3). Solve -v = -5*c - 8 - 0, 3*v = -5*c - a for c. -2 Let i = 60 + -50. Solve 2*o + 4 = 2*j - 3*o, -o = -4*j - i for j. -3 Let r = 48 + -33. Let u be 1/5 - (-27)/r. Let n(w) = -w**3 + w. Let h be n(-2). Solve 0*j - h = -4*a + 3*j, j + u = a for a. 0 Let t(g) = g**2 - 11*g - 4. Let y be t(12). Solve -2*p = 4*m + y + 2, -5*p - 10 = 5*m for p. 1 Let m(h) = -2*h + 0 + 2*h**2 + 1 - 3*h**2. Let x be m(-3). Let d be 2/(1*x/(-7)). Solve -d = -5*b - 2*r + 3*r, -4*r = -4*b + 12 for b. 1 Suppose 3*u + 6 = 6*u. Let m(z) = -6*z - 1. Let g be m(-1). Solve 0 = g*y - 5*d + 15, -u*d + 9 = -3*y - 4*d for y. -3 Let w(b) = 6*b**2 + 2*b + 1. Let m be w(-1). Let c be -3 - 4/((-4)/m). Solve 4*n - 5*j = -3*j, c*j = 8 for n. 2 Let b be (-4)/(-6)*(2 - -1). Let r(t) = -t**2 + 4*t + 3. Let n be r(4). Suppose -b = -c + n. Solve 4*m - 20 = -3*q, c*m - 20 = 4*q + m for q. 0 Let u = 6 + 3. Let l be (-4)/(-18) - 2/u. Solve 5*k + 2*s + 31 = 0, -k - 4*s - 17 = -l*k for k. -5 Suppose 3*i - 4 = 4*y - i, 4*i - 40 = -5*y. Solve 3*c = -3*v, -4*c - y = -c - v for c. -1 Let w = 141 + -137. Solve w*f + 4 - 2 = 2*t, -5*f + 3*t = 2 for f. -1 Let g be 44/12 + (-4)/6. Let d = 3 + -3. Suppose 3*w - 5*w - 5*v = -19, 2*w - 2*v - 40 = d. Solve 0 = g*x - p - 3 - 6, 0 = x - 5*p - w for x. 2 Suppose -2*i + 5*f = -13, 4*i + 3*f - 6 = 7. Solve -n = i*t - 19, 3*t = t + 5*n - 7 for t. 4 Suppose -3*r = -221 - 13. Suppose -3*f + 76 = -4*p, -3*f - p + r = -4*p. Suppose -4 = -2*k - 0. Solve k*m + f + 3 = -5*j, j = -m - 8 for j. -5 Let f(s) = s**2 + s + 1. Let r be f(-2). Suppose -3*a = -v - 2*v + 6, r*a - 2 = -5*v. Let u be (2/4)/(a/(-6)). Solve 5*y - 2 = -5*q - 22, -u*y - 16 = -q for y. -5 Suppose -4 = 3*a - 16. Suppose 4*n + m - 2 = 2, -a*n - 3*m = 4. Suppose 3*h + 17 = 44. Solve h = -3*k - 3*l, 4*l + 8 = -5*k - n for k. 2 Suppose 2*c - 8 = 6. Solve a = -u + c, 4*a - u - 2 = 2*a for a. 3 Let k(r) = -r - 3. Let b be k(-5). Solve 0 = -g - b*m + 3*m - 5, g = 5*m - 9 for g. -4 Suppose 3*o = 4*n + 77, -4*n = 6 + 14. Let h = -8 + o. Let s = h + -8. Solve 0 = d + d - 4*b + 20, -3*b - s = 3*d for d. -4 Suppose -2 = 2*f, -4*b + f + 19 + 2 = 0. Solve -3*p + 2*i + 2 = -7*p, -5*p - b = 5*i for p. 0 Suppose 5*m = 3*m + 3*f + 2, f = -2*m - 14. Let g(y) = -y - 4. Let p be g(m). Solve -h = -3*x + p - 6, -11 = 5*x + h for x. -2 Suppose 5*c + 94 = -6. Let z be (4/(-8))/((-1)/c). Let r(k) = -k**3 - 10*k**2 - 2*k - 15. Let o be r(z). Solve 0 = -4*v - o*y - 0*y, 0 = -2*v - 2*y for v. 0 Let h be -4 + -3 + 1 + -2. Let n = h + 14. Suppose -n = -3*t - 0*t. Solve 3*u = -5*v - 2, 5*v + 4*u + t + 4 = 0 for v. 2 Let g(i) = 6*i - 3*i + 0*i - 2 - i. Let a be g(3). Solve -x + 6*x - q + a = 0, -12 = -3*q for x. 0 Let g = -10 - -22. Suppose 2*d + d = g. Let x be ((-8)/(-10))/(22/165). Solve 5*m - x = -d*w - 37, -w - 7 = m for m. -3 Suppose c - 70 = -2*c + 5*l, -3*l + 45 = 4*c. Let w = 50 + -46. Suppose w*o - c = -o. Solve 2*d + 3*d + 18 = -o*n, -4*d - 12 = 0 for n. -1 Let n = -35 - -39. Solve 0 = 4*q + z - 1 - 22, -5*q + 37 = n*z for q. 5 Suppose -3*s - 8 = s, -4*s = -4*w + 24. Solve w*d + 4 + 21 = -5*b, 2*d = -5*b - 15 for b. -1 Let z = -5 - -2. Let d be ((-4)/(-6)*z)/(-2). Solve 3*y - 6 = -3*p, 0 = 5*p + d + 4 for y. 3 Let h(f) = f**3 - 3*f**2 + 3*f. Let j be h(2). Let k(l) = -3*l - 4. Let w be k(2). Let b = w - -12. Solve 4*s - 5*g = 18, -2*g + b + j = 4*s for s. 2 Suppose -8 = -o + 5. Let i = o - 10. Solve i*w - 7*w + 12 = -r, -12 = w - 4*r for w. 4 Let u(l) = -2*l - 5. Let o be u(-8). Let s = o + -7. Solve 0 = 3*d + w - s*w, 0 = -d - 2*w + 15 for d. 5 Let i(f) = f**2 - 22*f + 45. Let h be i(20). Solve 6 = -0*s + 2*s, 2*g = -s + h for g. 1 Let g(m) = -m + 3. Let f be g(1). Solve 0 = -f*y - h + 8, y + 2*y - h = 2 for y. 2 Suppose -5*f + 16 = 2*o - o, -3*o = -3. Solve -2*m + 9 - 3 = 4*u, -f*m + 9 = 0 for u. 0 Suppose -4*r + 13 = -3*m - 7, 0 = -2*m + 5*r - 25. Solve m*n - 11 = -2*n + 3*c, -17 = -4*n + c for n. 4 Let t be (-4)/(0/2 + -1). Let r(i) = 3*i - 5. Let g be r(t). Suppose 2*o = -3*f, 5*o + 0*f = 3*f. Solve -3*m + 5*d = g, 3*d + 15 = -3*m - o for m. -4 Let d(r) = -9*r + 8*r + 7 - 2 + 5. Let v be d(7). Suppose -12 = -l - v*l. Solve p + 10 = -4*a + 4*p, 4*p - 4 = l*a for a. -4 Suppose 6*n = 4*n + 4. Solve -n*q = 3*l - 1 - 6, -5*l + 25 = 0 for q. -4 Suppose -6 = p + j + 2, -5*p + 2*j - 5 = 0. Let x be (p - (4 - 4)) + 5. Solve 14 = 2*z + 2*r - x, -r - 2 = -z for z. 5 Suppose 3*c - 5*r - 29 = 0, 2*r = -5*c + 3 + 4. Suppose -4*q + 1 = -3. Let j = 0 + q. Solve -y = j, y = -b - c - 3 for b. -5 Let z(d) = -d + 12. Suppose -g = -v - 6 - 8, -g - 5*v = 16. Let r be z(g). Solve r*b - b = -2*y - 12, 3*b + 2*y + 16 = 0 for b. -4 Let o be 4/(-8)*(-1 - -1). Solve o = 2*n - 5*n + b + 16, 5*b = -5*n for n. 4 Let g be -6 - 3/(-1) - -3. Let l be (0/1)/(g - -1). Solve l = 3*j - 5*q + 1 - 15, -3*j + 3*q = -12 for j. 3 Suppose 5*w - 33 = -3. Suppose w = 3*f + 3*j, 4*j = -5*f + 14 - 3. Solve y = -5*q + 4*y - 12, -f*q = y + 10 for q. -3 Suppose 15 = -5*h, h - 2 = -j - 0*h. Solve k - j = 3*q, -3*k - 2*q = -2*k + 5 for k. -1 Let u(y) = -y**2 - 5*y + 2. Let s be u(-5). Let q(x) = x**3 - x**2 - 2*x. Let w be q(s). Solve w = -5*i - 4*k + 6, 0*i = i + 2*k for i. 2 Suppose 3*o + 2*c = -7, 2*c + 14 = -o - c. Suppose h - 2*l - 5 = 0, -l = -5*h - 6*l + 25. Solve 3*m - 13 - o = -5*i, 0 = -5*m + h*i - 30 for m. -2 Let c = -258 + 260. Let z be (-3 - -1)*4/(-8). Let j be 0/1*(z - 2). Solve -b = 2*s - 0*s + 7, j = 3*s + c*b + 13 for s. -1 Let u(a) = -2*a**2 - 16*a - 10. Let t be u(-7). Solve 4*s = -3*m + 17, t*s + 4*m - 15 = 1 for s. 5 Suppose 0 = 3*n - 5*c + 8, -5*c = -2*n - 12 - 0. Suppose -g = n*g. Solve 3*w - 5*q - 6 = g, 4*w - 8 = -q + 2*q for w. 2 Suppose -s = -4*v + 18, 5*s = 2*s + 6. Let u(y) = 0 + 7*y**2 - 2 - 2*y - y. Let l be u(-2). Solve 4*n + l = f - v*f, -2*n - 22 = 4*f for n. -5 Suppose -10 = -4*g + 2. Suppose -3*r - 3*s + 3 = 0, g*s = 5*r + 3 - 24. Solve -5*h + 2 = y, y = r*h - y + 4 for h. 0 Suppose -5*f - 19 = g, -2*g = -0*g + 2*f + 6. Solve g = -z - 4*b, 2*z + 20 = -z + 5*b for z. -5 Let z(a) = a**2 + 5*a + 4. Let d be (4 - 1)*(-12)/9. Let i be z(d). Solve t + 8 = -4*j - i*t, -j + 19 = -5*t for j. -1 Let o be 3/((-6)/(-18) - 14/(-12)). Solve 5*y + 3*f - 9 = 0, 1 = o*y - 5*f - 15 for y. 3 Let f(l) = 15*l + 30. Let q be f(-2). Let d = 2 + 0. Let t be d/(-8) + 1/4. Solve 2*z - 3*o - 7 = t, -z + 4*z + 5*o + 37 = q for z. -4 Let i = 74 + -71. Let u be (-2)/(-3) + 4/3. Solve -u*q = -i*b - 25, 10 = 5*q + 6*b - 3*b for q. 5 Let c be (-76)/(-18) + 14/(-63). Let h(d) = -d + 4. Let j be h(c). Let g(q) = -q + 4. Let y be g(j). Solve 2*b + b - 5*s = 22, 3*b - y*s = 20 for b. 4 Let f(p) = p**2 - 11*p - 22. Let i be f(13). Solve -3*n = 4*a + 2 + 1, n + i*a = -9 for n. 3 Let g = 29 - 24. Solve -2*q + q + 23 = g*n, 3*q - 5 = n for n. 4 Let b = -22 - -37. Suppose 3*v + 2 = -2*h + b, 5*h + 25 = 4*v. Let k(f) = 10*f**2 + f + 1. Let l be k(h). Solve -d - l = -4*d + 5*r, 4*d = -4*r + 24 for d. 5 Let s = 28 + -14. Solve -2*i - 5*j = -0*j + 18, 2*i + 3*j = -s for i. -4 Let t(r) = r**2 + 8*r + 29. Let x be t(-8). Solve -2*m + m = -2, -2*m = -5*d - x for d. -5 Suppose -2*v + 60 = -24. Suppose -v = 5*p - 2*p. Let f be 37/7 - (-4)/p. Solve 5*t - 3*h - 8 = 0, 0 = 3*t - h - f - 3 for t. 4 Let v(j) = -j**3 - 8*j**2 - 7*j + 4. Let p be v(-7). Solve 36 = -5*w + 4*s, -2*s + s = p*w + 12 for w. -4 Let w(n) = 10*
{ "pile_set_name": "DM Mathematics" }
e fifth biggest value in 5, 60, 0, 12, 3? 0 Which is the fifth smallest value? (a) 1 (b) 4/3 (c) -2 (d) -1 (e) -4 (f) -17 a Which is the third biggest value? (a) 2/273 (b) 0.02 (c) -123 c What is the smallest value in -0.1, -15/2, 1.1, 795, -0.4? -15/2 Which is the second biggest value? (a) 0.04 (b) 3 (c) -0.4 (d) -1 (e) -2 a Which is the biggest value? (a) 10 (b) 7 (c) -22 (d) 3 a What is the second biggest value in 5, -0.5, 2.403, 2? 2.403 Which is the smallest value? (a) 5 (b) -0.6 (c) 0.17 (d) -3 (e) -1 (f) 1 d Which is the smallest value? (a) -4 (b) 71172 (c) -5 c What is the biggest value in 4, -39.66, 1? 4 Which is the fourth biggest value? (a) -4 (b) -4/13 (c) -26/11 (d) -3/5 a What is the second biggest value in 38/5, -1.4, -1/2, 1/8, 0.2, -1? 0.2 What is the fourth smallest value in -14, 5, -3/2, -3897? 5 What is the fifth biggest value in -1/2, -189/4, 0, -1, 0.1? -189/4 What is the biggest value in 3/4, 4, -0.8445, -1/2, -1/6? 4 Which is the second smallest value? (a) 0.5 (b) -273856 (c) -5 c Which is the fifth biggest value? (a) 0.11 (b) 2.5 (c) 0 (d) -0.5 (e) 80 d Which is the fourth smallest value? (a) -586 (b) 1 (c) 67 (d) -0.7 c What is the second smallest value in 0.046, -0.3, -0.7418, -1/2? -1/2 What is the fifth smallest value in 3.2, -0.3, -5, 10/23, -17, -0.1? 10/23 Which is the second biggest value? (a) 1/4 (b) 1/2 (c) 489 b What is the fourth smallest value in -6, -32, -0.1, 14/33? 14/33 What is the fourth smallest value in -1/4, -2/7, -9.0438, 4? 4 Which is the fourth smallest value? (a) -0.1 (b) -5 (c) -1 (d) 209 d Which is the fifth smallest value? (a) -59 (b) 2 (c) -0.02 (d) 0.5 (e) 5/6 (f) 3 b Which is the third biggest value? (a) -2 (b) -1/2 (c) -3 (d) 3.1 a Which is the third smallest value? (a) -7/16 (b) 20 (c) 2/7 (d) 0 (e) 2 (f) -2/5 d What is the biggest value in 0.5, -5, 2/1471, 4, -2/11, 19? 19 What is the third smallest value in -3, 0.1696, 40? 40 Which is the second biggest value? (a) 2/7 (b) 727 (c) -3 a What is the smallest value in 2/363, 1, -34? -34 What is the biggest value in -4, -1/7, 1347? 1347 What is the fifth smallest value in 1/2, 1, 13, -4, 1466? 1466 Which is the third smallest value? (a) -4/21 (b) -1/6 (c) 15 (d) 1.6 d What is the fourth smallest value in 1932, -1/5, -0.16, 0.5, -2/3? 0.5 What is the third smallest value in 13, 118, 1/3, 4? 13 Which is the second biggest value? (a) 3/4 (b) -2 (c) 0.3 (d) 0.5 (e) -1/7 (f) 2 a What is the smallest value in -20, 1206, 0.5, -4, 4? -20 What is the third smallest value in -6, -11.855, 1/3? 1/3 What is the third biggest value in -3, 28, -167/5, -5? -5 What is the third biggest value in -1/4, -440, 797? -440 What is the second biggest value in -3/5, 2, -0.5, -324, 0.2? 0.2 Which is the third smallest value? (a) -17 (b) -29425 (c) -2/13 (d) 1/5 c What is the smallest value in 21, 2/821, 2/39? 2/821 Which is the second smallest value? (a) -91 (b) -4 (c) 33 b Which is the second biggest value? (a) 2/107 (b) -34.7 (c) 0.01 c Which is the fourth biggest value? (a) 0.1 (b) 732 (c) -0.4 (d) 0.4 c Which is the third smallest value? (a) 2/277 (b) 2/9 (c) -20 b Which is the second smallest value? (a) -2971 (b) 7/4 (c) -0.5 c What is the biggest value in 10.4, -430, -1/83? 10.4 Which is the fifth smallest value? (a) 217 (b) -2 (c) 2/15 (d) -0.2 (e) 0 a What is the third smallest value in -425, -888, 1? 1 What is the fifth biggest value in 0.06, 41, -5, 0.1, 21? -5 Which is the fourth biggest value? (a) 5/3 (b) -0.8 (c) 17 (d) 9 (e) 3/5 e Which is the second biggest value? (a) -7 (b) -0.05 (c) 19.7 b What is the biggest value in 3, 2, 0.22007, -4? 3 What is the fifth biggest value in 0.6, 3, -10/21, 2, 1, -11? -10/21 Which is the third smallest value? (a) -4 (b) -205 (c) 58 c Which is the fifth smallest value? (a) 4 (b) -23 (c) -5 (d) 0.2 (e) 0.214 a What is the smallest value in -0.106, -29, -1/2? -29 Which is the second biggest value? (a) 9/2 (b) -3 (c) -4.02 (d) -1 (e) 0 e What is the third smallest value in -39283, -1/10, 0.2, 14? 0.2 What is the third biggest value in 0.19, -3/2, 5, -3.02, -5, -8/7? -8/7 Which is the biggest value? (a) -14 (b) -299 (c) -1/3 (d) -3 (e) 0.3 (f) -0.4 e What is the second smallest value in -1/2, -13/251, 4, 2? -13/251 Which is the fourth biggest value? (a) 20 (b) -5/4 (c) 82 (d) -11 d Which is the third smallest value? (a) -582 (b) -21 (c) 5 c Which is the smallest value? (a) 0.3 (b) 77 (c) -2.324 (d) -0.5 c What is the second biggest value in 214, 0.3, 0.5, 147? 147 What is the second biggest value in 1328, -630, 5? 5 Which is the second biggest value? (a) 659/2 (b) -3 (c) -3/4 c What is the fifth smallest value in -2/9, -153, -0.73, 0, 3/2? 3/2 Which is the fifth biggest value? (a) 3/7 (b) 4 (c) -142/5 (d) -4 (e) -2 (f) -0.5 d What is the biggest value in 1/3, 2, 412, 2/13, 0, 0.4? 412 What is the second biggest value in -4, -1/13, -5/2, 3708, -0.1? -1/13 What is the second biggest value in -119.5, 0.4, 1/20? 1/20 Which is the second biggest value? (a) -3/5 (b) 1914835 (c) 1/8 c Which is the fifth biggest value? (a) -4 (b) 2467 (c) 1 (d) -2 (e) -1/2 (f) 0.2 d Which is the second smallest value? (a) 53 (b) 278 (c) 5 (d) -1 c Which is the fifth biggest value? (a) 5 (b) 4 (c) 0 (d) 2 (e) 82 c Which is the third smallest value? (a) 1/4 (b) 0.5 (c) -1/8 (d) -1/181 (e) -3/7 d Which is the second biggest value? (a) 0.5 (b) -2.2 (c) 18.3 (d) 6 d Which is the second biggest value? (a) -32 (b) 4 (c) 68 b What is the biggest value in -0.125, -2/17, -3, -0.4, 2/7, -0.1? 2/7 Which is the second smallest value? (a) -0.08 (b) -7.3 (c) -55 b What is the second biggest value in 1/4, 2/9, -3, -2/19, 41/3? 1/4 What is the second smallest value in 237, -5, -22? -5 Which is the fourth biggest value? (a) 3/2 (b) 6 (c) 2 (d) -171 d What is the third biggest value in 1253, 1/6, 21? 1/6 Which is the fifth smallest value? (a) 5 (b) -8 (c) 0.4 (d) -0.4 (e) 2 a What is the biggest value in -4, -3, 2/7, -884, -2? 2/7 What is the second biggest value in 3/4, -69, -1, 0.59? 0.59 Which is the smallest value? (a) 2/35 (b) 4 (c) -0.111 c What is the second biggest value in -1654, 1/3, 0.1, 3? 1/3 Which is the fourth smallest value? (a) -3 (b) -2.1 (c) 7 (d) -3/2 (e) -0.01 (f) -1/4 f What is the third smallest value in 0.02, 679, -0.1, -0.9? 0.02 What is the second smallest value in -6, -5, -1, 2/17, 62? -5 What is the smallest value in 2/27, 3, 0.3, 2/9803? 2/9803 What is the fourth biggest value in 26, -7, -9, 0.1, -0.4, 1? -0.4 Which is the smallest value? (a) -6581 (b) -20 (c) 0.8 a Which is the second biggest value? (a) -104.3 (b) -0.8 (c) 3 b What is the smallest value in -92, -4, -1950? -1950 What is the fifth smallest value in 1/2, -3/8, -394, 2, -0.3? 2 Which is the third biggest value? (a) 114.374 (b) -3 (c) 0.2 b What is the smallest value in -0.1, -21164, -2/7? -21164 What is the biggest value in -42, 91, 0.025? 91 Which is the smallest value? (a) -0.4 (b) -0.08 (c) 4/3 (d) -1/8 a What is the second smallest value in 5.3, 4, -5491? 4 What is the third biggest value in 22, 0.5, -0.37, -1, -5, -6? -0.37 Which is the smallest value? (a) 17 (b) -4 (c) -2145 c What is the third biggest value in 0, -70, -5145/4? -5145/4 Which is the fourth smallest value? (a) 8 (b) 2 (c) -399 (d) -7/3 a Which is the third smallest value? (a) 3 (b) -1 (c) 2 (d) 21 (e) -14/9 c Which is the fifth smallest value? (a) -1.38 (b) 0.3 (c) -0.1 (d) 44 (e) 0.5 d Which is the second smallest value? (a) -465 (b) -1/3 (c) -30 (d) 1/2 (e) 0.2 c Which is the third smallest value? (a) 8/287 (b) -1/5 (c) 14 c Which is the fifth smallest value? (a) 57 (b) -5 (c) 1/7 (d) -0.3 (e) -6/5 a Which is the fourth smallest value? (a) 1.93 (b) 0.1 (c) 0.3 (d) 5 (e) 24 d Which is the biggest value? (a) 1 (b) -15 (c) 0.0618 (d) -0.3 a Which is the biggest value? (a) -2/15 (b) -2/2711 (c) 0.5 (d) 1/8 (e) 0.3 (f) -4/5 c What is the fourth smallest value in -5/2, 43, 5/7, -1/14, 1, -4? 5/7 Which is the third biggest value? (a) -0.1 (b) -1/
{ "pile_set_name": "DM Mathematics" }
m be 1868/650 - (-78)/(-507). Let u = m + -1403/525. Which is smaller: v or u? v Let a be ((-18)/4)/(1/(-2)). Let n be 5*(-2)/(-4)*(4 - 170). Let p = 427 + n. Which is bigger: a or p? p Let w = 2/1532129 - -1895243513/45963870. Let l = -458/1605 + 2/107. Let y = w - l. Which is greater: y or 41? y Let r be (170/30)/(-17)*0. Is 1/534 > r? True Let j be 1*6/93*-1. Let f be (-3 + 1 - -3)*1 - 5. Let n be (1 - (-2 - f)) + 2. Is n > j? True Let w(d) = 12*d - 36. Let k be w(4). Suppose s + 2*q = 23, 4*s - 4*q + 8 = 40. Which is smaller: k or s? k Let l = -71 - -29. Let b be (-3)/(-10)*7*(-8)/l. Is b < 1/24? False Let g(n) = -n**3 + 4*n**2 - 8*n + 5. Let l be g(4). Let u be (-4 - (9/(-3) - l))*6. Is u smaller than -168? False Let d be (-44)/(-8)*(-1)/(5/(-80)). Suppose 5*z + d = -2*p, 0 = -3*z + p + p - 40. Which is bigger: -10 or z? -10 Let f(l) = 52*l**2 - 110*l + 10. Let j be f(2). Which is smaller: j or -116/225? j Let u be -4 + (-9 - 0 - (-951 + 17)). Which is smaller: u or 923? u Suppose -5*j = -6*j + 15. Let v = 107.3 + -113.3. Is j bigger than v? True Suppose 11 - 39 = 7*i. Let a be (-20900)/75*6/i. Is 418 less than or equal to a? True Let k = 18840.1 - 18840. Is 1025 less than k? False Suppose 3*s = 9*r - 11*r + 4, -3*r + 3 = 3*s. Let k be r*(90/(-120) + (-21)/(-8)). Is k bigger than -3? True Let b = 2042 + -2932. Let x be 20/9 - (-6)/(-27). Let h be (x/6)/(b/(-60)). Which is greater: h or 1? 1 Let a = -4627/23 - -203. Which is smaller: 1 or a? 1 Let m = -12245 + 12244.9. Is -1510.1 less than or equal to m? True Suppose w - 5 = 0, 4*w = 5*r + 2 + 3. Suppose -4*q - 3*u + 6 = -0*q, -r*q + 4*u - 8 = 0. Let y = q - 0. Which is bigger: y or -4/17? y Let u(h) = h**2 + 6. Let a be u(0). Let w(y) = y**3 - 5*y**2 - 8*y + 6. Let p be w(a). Let j be 1*2*(1 - 15/p). Which is greater: 10 or j? 10 Suppose -i = 2*p + 4126, -5*p + 2*i - 5716 - 4617 = 0. Which is bigger: -2062 or p? -2062 Let z = 288.77 + -290.77. Is z at most as big as 86/9? True Let s(w) = -w**2 + 5*w + 6. Let h be s(6). Let p(c) = c**2 + 13*c - 1. Let g be p(h). Is g less than 3/16? True Let z(x) be the second derivative of x**5/20 + x**4/2 + x**3 + 5*x**2 + 31*x. Let n be z(-5). Which is bigger: 4 or n? n Let a(y) = y**2 - 13*y + 37. Let o be (0 + (-1)/2)*240/(-15). Let j be a(o). Which is bigger: j or -9/5? -9/5 Suppose 7*b = 29 + 83. Suppose 11*j - b = 9*j. Suppose -3*v = 3*g + j - 5, 0 = v - 2*g - 5. Which is smaller: 2/81 or v? 2/81 Let r = 794/3 - 18256/69. Are 44/3 and r unequal? True Suppose -5*d + 415 = -5*m, 5*d + m + 2146 - 2573 = 0. Which is smaller: -8 or d? -8 Let m be 130/(-210) + (-1)/(-3). Let v = 4819.2 + -4812. Which is smaller: m or v? m Let t = 29.28 + -27.519. Let b = 0.239 + t. Is -14 less than b? True Suppose -4*n - 14 = -10. Let w = -5/118 - -877/23482. Is w at least as big as n? True Let b be ((-1)/(15/190))/((-1)/(-3)). Let o = b + 30. Let r(p) = 3*p**2 + 14*p + 10. Let u be r(o). Is 90 not equal to u? False Let t(j) = 911*j**2 - 4*j + 33. Let b be t(2). Which is greater: b or 3671? 3671 Let v be 4068/9040*(-230)/6. Let g = -15 - -14. Which is bigger: v or g? g Let u = 29 + -42. Let f = -12 - u. Let r = 243 - 4375/18. Is r at most as big as f? True Let q = 124 + -9. Let b = -129 + q. Is b smaller than -0.2? True Suppose 19*u = -35*u + 64*u + 90. Does u = -305? False Let p be 7*(-10)/(-70) + 7572/(-8052). Is p smaller than -1? False Let q(t) = -t**3 - 5*t**2 + 8*t + 19. Let d be q(-3). Let y(n) = -n**3 - 23*n**2 - n - 13. Let b be y(d). Suppose -2*x + 14 = -10. Is b at most x? True Let u = 14376 - 14377. Let b be 4/(152/(-150)) + 1. Which is smaller: u or b? b Let h = 3148 + -3101. Which is greater: 49 or h? 49 Let r be (-2)/(-6)*-3*-3. Suppose -r*w + 2*p = -p + 33, 0 = 3*w + 4*p + 68. Let y be w/6*(-2)/104. Which is bigger: 1 or y? 1 Let a = 116.3 - 226.2. Let n = 121.9 + a. Let g = -3 - -2.9. Is g equal to n? False Suppose 19*h = 20*h - 54. Let x be ((-27)/h)/(1/(-2)). Is x greater than or equal to 1/2? True Let o = -2752 - -1642.1. Let w = 1222 + o. Let t = w - 112. Is 3 != t? True Let m = 41/19 + -350/171. Let l = -1/92 + 59/1196. Let v = -7/13 + l. Which is smaller: v or m? v Suppose 312 = -3*c + 3*g, -5*c = -6*c - 2*g - 101. Let m = -723/7 - c. Let a = -29228 - -29228.03. Which is smaller: a or m? m Let y be ((-3)/((-9)/4))/((-4212)/(-49086)). Which is greater: -2 or y? y Let n(x) = -23 + 3*x + 21 + 2*x**2 + 0*x. Let t be n(1). Let b be 1*(2 + -14)/t. Is b less than -8/3? True Let j be (-9 + 172/20)/2. Let p(o) be the third derivative of o**5/60 + o**4/12 - o**3/6 + o**2. Let b be p(-2). Which is smaller: j or b? b Let v = -1/33981 + 39925/201983064. Which is bigger: 1 or v? 1 Let f be (5 - 7)*-6*1. Let a be ((-3)/(-18))/(f/54). Which is smaller: 0 or a? 0 Let n(i) = -i + 18. Let q be n(-10). Suppose -2*p + q = -p + 5*t, 2*p - 26 = -4*t. Suppose -p*c + 3*y - 3 = 3, 0 = -5*c + 4*y - 6. Are c and 4/7 non-equal? True Let g = 342 + -337. Let n be g + (5 - (-595)/(-56)). Which is smaller: -1 or n? -1 Suppose 0 = t - 19 - 74. Let k = 19 + t. Suppose -10*m = -3*m - k. Which is greater: m or -2/7? m Let u = -147461/6 + 24496. Which is greater: u or -81? u Let o(d) = 2*d**3 + 2*d**2 - d - 1. Let q be o(-1). Suppose 5*w - 10 + 15 = q. Let a = 31 + -95/3. Do a and w have different values? True Let w = -189.2 - -203. Let n = 11.8 - w. Is -6/7 greater than or equal to n? True Let h(w) = -17*w - 40. Let d be h(-2). Let x be 2958/187 + d/(-33). Let a(c) = 8*c - 1. Let v be a(2). Which is greater: v or x? x Suppose 7*q = -29 + 8. Suppose 4*b - 8 = -4*m, 15*b - 13*b = -5*m - 8. Which is smaller: q or b? q Let s = -182 + 248.3. Let m = s + -56.3. Which is smaller: 2.1 or m? 2.1 Let r = 34.261 - 5.761. Let l = 14.466 + 0.034. Let s = l - r. Which is smaller: 0.01 or s? s Let u = 11631 - 11583. Which is bigger: -39 or u? u Let f be -1 + 1 - 1*-591. Let c be (-1170650)/(-2050) - (-160)/8. Let g = c - f. Which is smaller: g or 3? g Suppose 0 = 2*r - 5*w + w + 60, -r = 5*w + 9. Let q be 2/(-6)*-3*r. Let f(b) = -6*b + 1. Let i be f(4). Which is bigger: i or q? i Suppose -198*y + 203*y - 1150 = 0. Suppose 154*l + y = 149*l. Suppose 3*f - 4 + 124 = -3*q, 2*f + 70 = -4*q. Is l greater than f? False Suppose -5*b + 0*b = 2*j + 41, -6*j + 17 = -5*b. Let a be (-2424)/b + 4/(-14). Which is smaller: a or 347? a Let g be 2 + (-5)/4 + -1. Suppose -2 = y + 5*l - 21, 4*l - 20 = 4*y. Let u be (y - -2)*(-12)/(-21). Is u at most as big as g? False Suppose p = 3*h + 1, 0 = -4*p + 4*h + 11 + 1. Suppose 39*q - p - 35 = 0. Let j be (-5)/(-9)*(-6)/(-8). Is j at most q? True Let c be 97/(-388) + (-7590)/(-8) + -3 + 1. Which is smaller: c or 947? c Let o = -902 + 1807/2. Which is smaller: -12/13 or o? -12/13 Let v be ((-135)/1179)/(3/2). Suppose -5*b - 3 = 3*a, -2*a - 12 + 10 = -2*b. Which is greater: v or a? v Let q be (1/(-5))/(-3 - (-215)/25). Suppose -6*n + 76 = -2*n. Let a = n - 20. Which is greater: q or a? q Let l = 489 - 484. Suppose 2*s + 0*m = 5*m + 45, -l*s - 3*m + 128 = 0. Which is smaller: -6 or s? -6 Let b(t) = -t**2 + 9*t + 534. Let p be b(51). Which is greater: p or -1609? p Let g be (14/(-756))/(-1) + 0. Is 11.9 smaller than g? False Let l(f) = 3*f. Let b be l(0). Let m be (b - (15 + 6)) + (2 - 0). Is m at most as big as -16? True Suppose 17 = 7*s - 25. Suppose 24 = -v - s. Is v greater than -28? False Let t = 229343 + -2070034/9. Let g = 661 + t. Which is bigger: -1 or g? g Suppose 3*a = -g + 19111 + 8955, -2*g = -9*a + 84178. Which is smaller: -1/3 or a? -1/3 Let x = 0.042 - 0.072. Let y = -0.04 - x. Let r = y + 2.01. Is r less than -6? False Let v = 15 - 31. Let f be 75/12 + 4/v. Let w be (-2 + f/9)*6/(-12). Which is smaller: -17/2 or w? -17/2 Let p be (36 + -1)*750/175. Let v = -149 + p. Which is smaller: v or -2/93? -2/93 Let m = 733 + -1083. Let u be (-8)/28 + 6704/m. Let b = u - -98/5. Which is greater: -1 or b? b Let k = 5790 - 5706. Which is smaller: k or 82? 82 Let d = 3.302 - 0.302. Suppose 4*z = 157 - 17. Which is greater: d or z? z Let j(n) = 13*n**3 + 29*n**2 - 114*n + 38. Let g be j(6). Is 3204 at most as big as g? True Let t be 10 + 2 + -4 + (6 - 3). Let r(f) = f - 3*f + t*f - 43 - 4*f. Let l be r(9). Which is greater: l or 3? 3 Let m = -229.38 + 29.28. Let k = -200
{ "pile_set_name": "DM Mathematics" }
- 123. Determine u(-36). -15 Let m(f) = -32*f**3 + 2*f**2 + 4*f - 2. What is m(1)? -28 Let r(a) = -2036*a + 50884. Give r(25). -16 Let a(t) = -210*t - 1830. What is a(-10)? 270 Let z(k) = -10*k + 666. Determine z(67). -4 Let s(l) = l**3 - 5*l**2 - 13*l - 4. Determine s(7). 3 Let t(j) = -j**2 - 49*j + 4. Give t(-50). -46 Let y(f) = -18*f**2 - 7*f + 11. Determine y(2). -75 Let l(c) = -3*c**3 + 85*c**2 + 618*c + 12. What is l(-6)? 12 Let w(h) = -215*h + 268. Determine w(2). -162 Let y(c) = -c**2 - 88*c + 370. What is y(-92)? 2 Let a(b) = 2*b**3 - 84*b**2 + 238*b - 54. Give a(39). 102 Let z(i) = -3*i**3 + 42*i**2 - 41*i - 15. Give z(13). -41 Let h(a) = -1019*a - 22413. Determine h(-22). 5 Let l(q) = -37*q**2 - 1310*q - 543. Calculate l(-35). -18 Let m(y) = -9*y + 215. Give m(31). -64 Let c(j) = 3*j**3 + 21*j**2 - 38*j - 155. Calculate c(-5). 185 Let n(z) = -z**2 + 53*z + 424. Give n(60). 4 Let x(j) = -57*j**2 - 11*j + 25. What is x(2)? -225 Let n(k) = -16*k**2 + k + 6. What is n(3)? -135 Let g(r) = 11*r**2 - 43*r + 45. What is g(2)? 3 Let f(l) = -2*l**2 + 22*l - 47. What is f(11)? -47 Let i(n) = 2*n**3 - 55*n**2 + 10*n + 22. Give i(27). -437 Let c(g) = 52*g + 1619. Determine c(-31). 7 Let o(b) = 40*b + 1917. Give o(-50). -83 Let m(s) = -s**3 - 3*s**2 + 27*s - 14. Calculate m(0). -14 Let w(p) = -351*p - 23520. Calculate w(-67). -3 Let d(c) = -c**2 + 118*c - 3407. Give d(63). 58 Let a(w) = 7*w**2 - 249*w - 3203. Give a(-10). -13 Let n(h) = -h**3 + 19*h**2 + 73*h + 50. Calculate n(23). -387 Let a(h) = h**2 + 30*h + 102. What is a(-26)? -2 Let m(z) = -136*z - 49. What is m(-1)? 87 Let c(y) = -y**3 - 9*y**2 + 308*y + 2248. What is c(-7)? -6 Let i(z) = 6*z**3 - 207*z**2 + 104*z - 69. Give i(34). -1 Let p(m) = -4*m + 1. Calculate p(0). 1 Let k(n) = -21*n - 1006. What is k(-47)? -19 Let l(p) = 4*p**2 - 2392*p - 4789. What is l(-2)? 11 Let x(f) = 208*f - 811. Determine x(4). 21 Let m(o) = -1288*o + 1194. What is m(1)? -94 Let r(u) = u**2 + 193*u + 9263. Give r(-102). -19 Let g(v) = -23*v**2 - 52*v + 13. Determine g(-1). 42 Let v(j) = -j + 63. What is v(1)? 62 Let t(n) = -2*n**2 - 101*n + 2669. Calculate t(-70). -61 Let l(r) = -3*r**3 - 4*r**2 + 6*r - 12. Determine l(-5). 233 Let t(l) = 16*l + 20. Calculate t(7). 132 Let t(w) = -277*w - 9413. Determine t(-34). 5 Let x(h) = 2*h**3 + 132*h**2 - h - 70. Calculate x(-66). -4 Let a(d) = 700*d + 1847. Determine a(-2). 447 Let v(x) = -x**3 - 7*x**2 + 7*x - 123. What is v(-10)? 107 Let n(q) = q**3 - 6*q**2 - 48*q + 329. Give n(6). 41 Let n(z) = z**2 - 198*z + 2087. Determine n(11). 30 Let v(b) = -32*b**2 - 19*b + 3. What is v(2)? -163 Let d(u) = 2*u**2 - 74*u + 341. Give d(5). 21 Let s(p) = -p**2 + 42*p + 16. Give s(42). 16 Let w(s) = -s**3 - 31*s**2 - 224*s + 28. What is w(-14)? -168 Let r(z) = -23*z - 191. What is r(0)? -191 Let u(r) = -202*r - 804. What is u(-4)? 4 Let n(w) = 2*w**3 + w**2 - 3*w + 32. What is n(-5)? -178 Let k(y) = y**3 - 9*y**2 - 4*y + 4. What is k(8)? -92 Let h(u) = 446*u - 4012. What is h(9)? 2 Let w(m) = 4*m**3 - 22*m**2 - 20*m + 14. Determine w(5). -136 Let r(v) = 3*v**2 + 238*v - 202. Determine r(-78). -514 Let t(g) = -4*g**3 - 311*g**2 + 88*g + 744. What is t(-78)? -36 Let h(m) = 103*m**2 + 9*m + 13. Calculate h(0). 13 Let h(n) = -n - 163. Determine h(-15). -148 Let r(i) = -43*i + 162. Determine r(-2). 248 Let l(x) = x**3 - 162*x**2 + 5535*x + 97. Give l(49). -1 Let t(y) = 24*y - 36. What is t(-6)? -180 Let m(c) = 39*c**3 + 92*c**2 - 5*c - 9. Calculate m(-3). -219 Let n(u) = u**2 + 28*u + 40. What is n(-20)? -120 Let r(k) = -k**3 - 38*k**2 - 37*k - 86. Calculate r(-37). -86 Let c(s) = -6*s - 94. Calculate c(-22). 38 Let o(x) = x**3 - 12*x**2 + 36*x - 16. Give o(4). 0 Let h(s) = -s**2 + 20*s + 191. Give h(26). 35 Let m(z) = -z**3 + 36*z**2 + 54*z - 467. Calculate m(37). 162 Let y(n) = -2*n**2 - 137*n - 1792. Give y(-15). -187 Let j(m) = -m**2 + 49*m + 262. Determine j(-5). -8 Let q(v) = v**3 - 35*v**2 - 17*v + 601. What is q(35)? 6 Let a(l) = -l**3 - 2*l**2 + 165*l - 12. Calculate a(-14). 30 Let w(b) = -b**3 + 8*b**2 - 156*b + 448. Determine w(3). 25 Let f(b) = 21*b**3 - 318*b**2 + 47*b + 19. Determine f(15). 49 Let z(x) = -x**3 - 13*x**2 + 769*x - 36. Calculate z(-35). -1 Let i(t) = -529*t - 3717. What is i(-7)? -14 Let f(q) = -655*q + 4673. What is f(7)? 88 Let i(q) = 44*q - 34. Calculate i(1). 10 Let c(x) = -x**3 - 29*x**2 - 58*x - 71. What is c(-27)? 37 Let t(y) = -22*y**2 + 2006*y - 374. What is t(91)? -10 Let p(q) = q**3 + 18*q**2 + 101*q + 471. Calculate p(-13). 3 Let k(v) = -v**2 - 119*v + 4980. Determine k(-152). -36 Let c(d) = 30*d + 256. What is c(-6)? 76 Let l(n) = 39*n - 179. Give l(8). 133 Let u(r) = 10*r - 132. Give u(30). 168 Let y(g) = 272*g + 2658. What is y(-10)? -62 Let t(o) = -2110*o + 25327. Determine t(12). 7 Let i(w) = -202*w - 879. Give i(-4). -71 Let i(x) = x**2 + 41*x - 83. Calculate i(-38). -197 Let x(d) = -d**3 + 128*d**2 + 663*d + 257. Determine x(133). -9 Let v(f) = 40*f + 2133. What is v(-54)? -27 Let a(f) = 8*f - 178. Calculate a(26). 30 Let s(a) = 223*a + 869. Give s(-7). -692 Let w(s) = -252*s + 3021. What is w(12)? -3 Let p(m) = 35*m**2 + 246*m + 9. Calculate p(-7). 2 Let p(y) = y**3 + 59*y**2 - 251*y + 16. Give p(-63). -47 Let z(p) = -p**3 + 15*p**2 + 220*p - 138. Calculate z(24). -42 Let c(l) = -l**3 - 3*l**2 + 65*l + 286. Determine c(-6). 4 Let b(g) = 96*g**2 - 1447*g + 61. What is b(15)? -44 Let v(z) = z**3 - 5*z**2 - 149*z + 23. Give v(-10). 13 Let k(m) = 130*m + 512. Determine k(-6). -268 Let z(t) = 592*t + 447. Calculate z(-1). -145 Let f(q) = -q**2 - 46*q - 338. Give f(-50). -538 Let z(b) = -155*b + 6963. Give z(45). -12 Let j(w) = 99*w - 3155. Give j(32). 13 Let l(n) = -3*n**3 - 228*n**2 - 223*n + 122. Determine l(-75). -28 Let j(a) = 15*a**2 - 7*a - 7. Determine j(-5). 403 Let u(n) = -127*n - 3040. Calculate u(-24). 8 Let p(m) = -21*m**2 - 12*m + 13. What is p(1)? -20 Let r(a) = 90*a - 42. Calculate r(2). 138 Let f(b) = -b**3 + 102*b**2 - 107*b + 575. What is f(101)? -31 Let y(n) = -n**3 + n**2 - 26*n + 26. Give y(6). -310 Let n(f) = -f**2 - 13*f - 68. Determine n(-8). -28 Let l(o) = o**2 + 49*o + 450. Determine l(-37). 6 Let z(d) = d**3 - 76*d**2 + 1365*d - 101. What is z(47)? -7 Let y(k) = -6*k**2 - 52*k - 44. Give y(0). -44 Let j(y) = -39*y - 1048. Give j(-25). -73 Let m(d) = -155*d**2 + 24*d - 38. Determine m(2). -610 Let l(c) = 156*c - 465. Determine l(3). 3 Let o(k) = -42*k - 1182. Calculate o(-28). -6 Let x(i) = -2*i**2 - 3*i + 16. Calculate x(-3). 7 Let z(u) = 138*u + 833. Give z(-6). 5 Let d(f) = f**3 - 16*f**2 + 55*f - 2. Determine d(11). -2 Let q(d) = -6*d - 901. Determine q(0). -901 Let p(a) = -a**2 + 1090. What is p(-34)? -66 Let m(t) = -3618*t - 50653. What is m(-14)? -1 Let l(y) = 3*y**3 + 89*y**2 + 285*y + 17. Calculate l(-26). 43 Let a(j) = -272*j - 4. What is a(-1)? 268 Let b(y) = -y**3 + 6*y**2 + 125*y + 114. Give b(-8). 10 Let o(d) = -93*d**2 + 188*d - 10. Determine o(2). -6 Let s(o) = -33*o - 1544. Calculate s(-42). -158 Let a(f) = 30*f**3 - 8*f**2 + 15*f - 10. Calculate a(2). 228 Let z(j) = -156*j - 1173. What is z(-7)? -81 Let u(r) = 5*r**2 + 284*r + 567. Calculate u(-2). 19 Let q(b) = 10*b**3 + 69*b**2 + 71*b + 3. What is q(-1)? -9 Let b(i) = -10*i - 240. Calculate b(-18). -60 Let v(m) = -m**3 + 10*m**2 + 14*m - 131. Calculate v(10). 9 Let x(r) = 2*r**3 + 100*r**2 - 430*r + 102. Determine x(-54). -6 Let m(n) = -n**2 + 49*n - 579. Determine m(28). 9 Let z(v) = -v**2 - 264*v + 20222. Calculate z(62). 10 Let s(b) = -85*b + 92. Calculate s(2). -78 Let z(d) = -9*d**2 + 28*d + 81. Calculate z(-5). -284 Let w(c) = 9*c**2 + 386*c + 340. Give w(-42). 4 Let s(n) = n**3 + 29*n**2 + 52*n - 46. Calculate s(-27). 8 Let h(y) = 30*y + 231. Calculate h(-6). 51 Let t(h) = -h**3 + 3*h**2 + 13*h - 31. Determine t(4). 5 Let v(i) = 6*i**2 + 4*i - 9. Calculate v(-3). 33 Let x(u) = 18*u + 236. What is x(-13)? 2 Let k(l) = 23*l**2 - 216*l + 201. Give k(1). 8 Let g(y) = 51*y + 101. Give g(-4). -103 Let s(d) = -99*d + 1108. Give s(11). 19 Let x(g) = -12*g - 308. Give x(-25). -8 Let t(j) = 101*j + 1162. Calculate t(-12). -50 Let d(x) = x**3 - 70*x**2 - 707*x - 317. Determine d(79). -1 Let p(o) = o**2 - 70*o + 708. Calculate p(13). -33 Let h(v
{ "pile_set_name": "DM Mathematics" }
*u, 197*t - 192*t - 25 = 0 for u. -6 Solve -4*p = -2*a - 3*a + 11, -a - p = -4 for a. 3 Solve 4*t = 5*g - t - 30, 2*g + 6 = -4*t for g. 3 Solve -82*a + 85*a = -2*m + 2, -4*m + 4 = 4*a for m. 1 Solve -j + 16 = -5*j + w, j + 3*w + 17 = 0 for j. -5 Solve 0 = -2*o + q - 3, 7*o + 12 = 3*o - 4*q for o. -2 Solve 5*f = b - 13, -3 = 5*b + 5*f + 22 for b. -2 Solve -2*i - 25 = 3*d - 7*i, i = 5 for d. 0 Solve -t = 3*i - 3*t - 8, -4*i - t = -7 for i. 2 Solve -2*x = 9*f + 31, 57 = 5*x + 67 for f. -3 Solve 4*j - 4*y = -20, 3*y = -j - 7 + 14 for j. -2 Solve -3*i + 7*i - 4*n = 24, 0 = -5*i - n + 24 for i. 5 Solve -4*v = 5*s - 5, 4*v + 3*s - 4 = -1 for v. 0 Solve -3*r + 2*u - 5 = 0, 43*r - 4*u = 39*r for r. -5 Solve 5*a = -3*p - 8, -5*p - 4*a + 11 = 7 for p. 4 Solve 0*x = t - 5*x + 20, 5*t - 4*x = 5 for t. 5 Solve -a - 2 = -7, 0 = -n + 3*a - 15 for n. 0 Solve 5*z - 9*z = -4*l + 36, 0 = -4*l - 5*z for l. 5 Solve u - 17 = -2*k - 10, 2*k = -2*u + 8 for u. 1 Solve 7*z - 4*z + 4*o + 10 = 0, -5*o - 16 = 2*z for z. 2 Solve o + 5*z + 21 - 25 = 0, 0 = o - z - 4 for o. 4 Solve -7*a + w = -6*a - 8, 0 = -4*a + w + 35 for a. 9 Solve -2*x - 6 = 4*z, -27 = 3*z - 0*z - 3*x for z. -4 Solve -5*k - 10 = -5*n, k + 0*k + 5*n = 10 for k. 0 Solve 8*l - r - 21 = 13*l, -4*r - 4 = 0 for l. -4 Solve 29*i - 5*v = 33*i + 25, 0 = -i - v - 6 for i. -5 Solve 2*a + 5 = -3*c - 8, -20 = 5*c + 5*a for c. -5 Solve 3*z + i = 3 - 4, -z = -4*i - 4 for z. 0 Solve 5*y - 2 = 2*y - 5*t, -2*y = -t - 10 for y. 4 Solve -3*i + 15 - 1 = -c, -21 = 3*i + 6*c for i. 3 Solve q = -4*k + 9, -3*q - 5*k + 0*k = -13 for q. 1 Solve -55*u + 16 = -51*u - 2*l, -5*l = -5*u + 30 for u. 2 Solve -w = -5*z + 8, 5 + 3 = -z + 5*w for z. 2 Solve z - 5*z = 5*i + 36, 5*i = -20 for z. -4 Solve -3*p = -d - 9, 9*d - 15 = -5*p + 4*d for p. 3 Solve -3*b = -3*u - 46 + 67, -4*u - 12 = 4*b for u. 2 Solve -4*f = m, 2*f + 2 = m - 2*m for m. -4 Solve -1371*a + 1373*a + 2 = -4*s, 24 = -4*a + 2*s for a. -5 Solve 0 = 3*h + 4*t - 14, -3*h - 4*t + 22 = -4*h for h. -2 Solve 3*b = -4*v - 2 + 1, 5*b - 25 = 0 for v. -4 Solve -d + 6*c = 11*c - 11, -4*c = -8 for d. 1 Solve -5*x + 34*j - 35*j = -21, 2*x - 7 = j for x. 4 Solve 2*w = -2*j + 14, 5*j - 12 = -w + 11 for j. 4 Solve 0 = 2*b, -h + 4*b = 3*h + 16 for h. -4 Solve -3*z - 4*t = 0, 0*t - 17 = 2*z - 3*t for z. -4 Solve o + 8*t - 1 = 12*t, -3*t = 3*o - 3 for o. 1 Solve i = -21*x + 20*x - 11, -2*x - 31 = 5*i for i. -3 Solve -j + 2*y + 5 - 3 = 0, -19 = -4*j - 3*y for j. 4 Solve -4*l + 6 = 2*v, -3*l + 37 = 53*v - 58*v for v. -5 Solve i = 7*s - 4*s + 8, -2*i + 4 = -3*s for i. -4 Solve 3*f + 11 = z - 2, -4*z = 3*f - 7 for z. 4 Solve 0 = 2*j - 12, 3*t + 5*j + 7 = 43 for t. 2 Solve -2*i + 0*i - 14 = -3*y, 0 = -4*y - 5*i + 11 for y. 4 Solve 3 = 3*q, 4*q = -5*x + 21 + 3 for x. 4 Solve -5*z = x - 20, -12 = 3*x + 2*x - 3*z for x. 0 Solve -2 = z - 4*b, -5*b = -20*z + 16*z - 8 for z. -2 Solve -6*y - 18 = -y + 3*d, 3*d = 5*y + 12 for y. -3 Solve 10*j - 9*j + 1 = l, -13 = -5*j - 4*l for j. 1 Solve -4*l - 19 = 5*n, -15*n = -2*l - 17*n - 8 for l. -1 Solve 3*k - 6 = 3*n, -4*k + 25 = k for n. 3 Solve 3*b = -2*f - 29 + 30, -f - 7 = -b for b. 3 Solve 3*c - o + 0 = 1, -o - 6 = 2*c for c. -1 Solve -2*n = -l - 6, l = -4*n + 11 - 5 for l. -2 Solve -3*k + 5*k = 3*x + 9, 4*x + k + 23 = 0 for x. -5 Solve -5*w - c = -0*w + 22, 0 = 5*w - 3*c + 14 for w. -4 Solve 2*h = -l - 3*h + 15, 5*l + 2*h - 6 = 0 for l. 0 Solve 0 = 5*p + 3*k + 17, -3*k = 2*p - 0*k + 14 for p. -1 Solve -11 = -3*g - 2*a, -3*g = -4*a + 23 - 28 for g. 3 Solve r - 11 = -3*t + 2*r, -t + 2*r = -7 for t. 3 Solve 0 = 4*r + o - 45, -16 + 11 = 2*r - 5*o for r. 10 Solve -3*s + 2 = -7, -3*x + s = 3 for x. 0 Solve -4*b - 28 = -3*s, 4*b + 10 = -s - 2 for s. 4 Solve -5*t - 11 = 2*z, 8 = -4*z + 4*t - 0*t for z. -3 Solve 0*j - 2*j - 4*q + 16 = 0, 2*j + 9 = q for j. -2 Solve z - 8 = -4*x, 6*x - 2*z - 2 = 5*x for x. 2 Solve -3*x + 4*x + f = 0, 0 = -4*x + f for x. 0 Solve -c = -b + 5 - 12, 2*b = 5*c - 23 for c. 3 Solve 2*i + 2*m = 0, -12*i + 14*i = -3*m + 4 for i. -4 Solve x = -4*z + 3*x + 12, -3*x = 12 for z. 1 Solve 80*j + 15 = 5*l + 76*j, 4*j = -2*l - 22 for l. -1 Solve v + 18*o = 13*o - 18, -v = -4*o - 9 for v. -3 Solve -j + 5 = -15*s + 12*s, -5*j + 25 = 4*s for s. 0 Solve 0 = -8*c, 16*x - c + 15 = 11*x for x. -3 Solve -4*o + 2 = 2*k, 3*k = 2*o - 7*o for k. -5 Solve -3*p + 15 = 0, 0 = 5*t - 3*p + 204 - 174 for t. -3 Solve -3*z + 14 = 2*a - a, 4*a - 6 = -2*z for a. -1 Solve 3*a - 6*j = -2*j - 11, 2*j - 18 = 4*a for a. -5 Solve 12*b - 17*b - v = -5, b - 5*v + 25 = 0 for b. 0 Solve -r - 3*u - 30 + 42 = 0, r - 5*u + 28 = 0 for r. -3 Solve -20*x + 21*x - 6 = -n, 2*n = 2*x - 4 for n. 2 Solve 0*n = 2*v - 3*n + 8, 0 = 5*v - n + 20 for v. -4 Solve w + 4 = 0, 4*s - 3 - 9 = 5*w for s. -2 Solve 4*f - 4*i + 8 = -5*i, -2*i = -5*f - 23 for f. -3 Solve -2*k = -5*j + 49 - 24, 3*j - 2*k - 19 = 0 for j. 3 Solve -4*w + 2*w + 3*x = -4, -w + 2 = -x for w. 2 Solve 4*g + 8 = -3*f, -3*g + 11 = -5*f - 12 for f. -4 Solve -4*a + 27 = 95*h - 98*h, 0 = -2*h - 2*a - 4 for h. -5 Solve 3*h + 5*s - 21 = 0, s + 4*s = -h + 17 for h. 2 Solve 20 = -5*f + 4*g, -4*f + 4*g - 12 - 4 = 0 for f. -4 Solve -3*s - 2*s = 5*m - 5, -5*s + 45 = -5*m for m. -4 Solve -4*l = 4*o + 1 - 5, -o - 3*l = -11 for o. -4 Solve -6*a + 5*a = -2*g + 1, -5*a + 25 = 5*g for a. 3 Solve v - 5*w - 14 = 0, 2*w = 4*v - 4 - 16 for v. 4 Solve -3*v + 20 = 5*j, 39*j + v = 36*j + 12 for j. 4 Solve 4*c - 32 = -4*f, -3*c - 8*f = -9*f - 4 for c. 3 Solve 5*v + 2*x - 14 = 0, 3*v - 2*v + 4*x = 10 for v. 2 Solve i + 5 = 2*y, -2*i = -7*i + 15 for y. 4 Solve -3*h = -2*j + 2, j = -9*h + 8*h - 4 for j. -2 Solve 2*h = 2*p + 6, 4*p - 4 = 6*p for h. 1 Solve 3*w + 12 + 10 = 4*y, 4*y - 16 = 0 for w. -2 Solve -2*r - 2 = -p - 8, -3*p + 5*r - 15 = 0 for p. 0 Solve -2*p + 18 = 4*u, 14 - 8 = u + 2*p for u. 4 Solve 4*r - 8 = 0, 0 = -4*j - 18*r + 14*r - 4 for j. -3 Solve -y = 4*k - 6, -32*y + 33*y + 5*k = 7 for y. 2 Solve 5 = -s - 2*l + 2, 5*l = 3*s - 13 for s. 1 Solve -202*y + 2*w = -204*y + 2, 2*y + 4 = -5*w for y. 3 Solve -3*i = 2*l - 14 + 4, -5*l = -i + 9 for l. -1 Solve 5*g - 6 = -p, -10 = p - 5*g + 4 for p. -4 Solve 0 = -x - 4*y - 21 + 5, -2*y - 10 = 0 for x. 4 Solve 24*o - 21*o + 6 = 0, 5*o = -5*t + 15 for t. 5 Solve -4*r + 3*m = -17, -3*m + 5*m = -5*r + 27 for r. 5 Solve -h = -4*f + 8, 0 = 3*h - 6*h + 4*f for h. 4 Solve -4*z = 4*b - 20, 0 = 28*z - 31*z - 5*b + 25 for z. 0 Solve 5*h + 16 = -k - 4, -26 = 2*h + 4*k for h. -3 Solve 11 = -n - k - 2*k, -4*n - 3*k - 26 = 0 for n. -5 Solve -2*r = b, 0 = 4*r + 2*b - b + 2 for r. -1 Solve 10 = -2*p + x, 2*x + 22 = -3*p + 7*x for p. -4 Solve 5*z + 2 = 7*j - 6*j, 4*z + 4*j = 8 for z. 0 Solve 5*f + 20 = 5*y, 3*f - 2*y = -44 + 36 for f. 0 Solve -2*d + 6*d - 2*p = -10, -1 = -2*d - p for d. -1 Solve 0 = -4*u + 2*n + 117 - 107, -20 = 2*u + 4*n for u. 0 Solve -15 = 3*m, 7*m - 6 = 4*y + 5*m for y. -4 Solve -2*z = -5*v - 4, -3*v + 2*v + 4 = 2*z for v. 0 Solve -2*d = -2*v + 6, -8 = 3*d - d - 4*v for d. -2 Solve l - 3*u = 0, 3*l = -4*u - 22 + 9 for l. -3 Solve -2*o + 2*n = -12, -4*o + 7 - 28 = 5*n for o. 1 Solve 0 = -3*t - 3*h + 21, 15*h - 17*h + 5 = -t for t. 3 Solve 3*j + 4*g = 2 + 11, 2*j + g - 7 = 0 for j. 3 Solve -5*i - 21 = -3*o + 2*o, o = -i - 9 for o. -4 Solve 4*x + 4*w - 28 = 0, x = -12*w + 17*w - 11 for x. 4 Solve 0 = -4*z, 10*z + 4 = 2*b + 15*z for b. 2 Solve 0 = -3*g - 4*m + 15, -3*g + 5*g = -4*m + 10 for g. 5 Solve 5*q + 5 = -3*h, -16*h + 19*h = 2*q + 2 for q. -1 Solve 4*y - y + 3 = 2*g, y = 5*g - 1 for y. -1 Solve -11*d - n = -14*d + 12, 0 = -5*d + n + 22 for d. 5 Solve 0 = 2*t - 2, -2*d + 4*t = 2*d + 8 for d. -1 Solve -4*t + 11 = -3*z, 4*t - 2*z - 27 = -21 for t. -1 Solve -v + 4*h = 23, -3*v - 138 = 5*h - 154 for v. -3 Solve -4*s + 5*d = -9*s, -5*d + 30 = -5*s for s. -3 Solve -2*b = -4*v - 4*b + 4, -4*b = -2*v - 18 for v. -1 Solve -l = -s - 2, -3*l + 7*s - 3*s = -5 for l. 3 Solve -4*f + 6*f = -5*a - 5, 5*f = 25 for a. -3 Solve 4*q + 3*s - 6 = 0, -24*q = -19*q + 4*s - 8 for q. 0 Solve -15*y + 14*y = -3*l - 10, 2*l - 2*y + 12 = 0 for l. -2 Solve -2*u - 14 = -13*j + 9*j, 19 = -u + 5*j for u. 1 Solve 17 = 3*g + 5*b, -4*g + 19 = -3*b + 6 for g. 4 Solve 2*s - 5*l + 14 = 0, -l - 2*l = 2*s - 18 for s. 3 Solve 0 = 5*x - 4*b + 3 -
{ "pile_set_name": "DM Mathematics" }
Rearrange -5*n**4 - 2 - 14*n**4 + n**3 + 2 - 2*n**2 to x + s*n**4 + g*n**3 + y*n**2 + t*n and give g. 1 Express (2*r + 3 - 3)*(-1 + 1 + 4)*(0 - 2 + 0) as f*r + s and give f. -16 Rearrange -220 - 35*b**2 + b**3 - 19*b**2 + 220 to i*b + t + q*b**3 + o*b**2 and give o. -54 Express (3*u + 0*u - u)*(5 + 8170*u - 2*u**3 - 8170*u) as p*u**4 + k*u**3 + x + y*u + z*u**2 and give p. -4 Express -n**3 + 2*n + 13 - 3*n**4 - 8 + n**3 in the form p*n**2 + a*n**3 + y + w*n**4 + s*n and give y. 5 Rearrange -x**2 - 4*x**3 + x + 3*x**2 + 33*x**3 + 0*x**3 to c*x + h*x**2 + q*x**3 + v and give v. 0 Rearrange 50*g - 9*g**2 - 50*g to i*g + v + s*g**2 and give s. -9 Express -11*c**2 + 1 - 2*c**2 + 0 + (-2*c**2 + 2 - 2)*(-1 + 2 - 2) + 0*c + 2*c**2 + 0*c as r + a*c + p*c**2 and give r. 1 Rearrange (-3 + 3 + f**2)*(-4*f + 6*f + 1 - 3) to d*f + x + a*f**3 + s*f**2 and give a. 2 Rearrange 7*g**3 - 2*g**4 - 14*g**3 - 1 + 6*g**3 to u*g**4 + z*g**3 + c + y*g**2 + l*g and give c. -1 Rearrange -2*r + 2*r + 3*r**2 - 221 + 224 to i*r**2 + w + n*r and give i. 3 Express (-y + 1 - 1)*(-53 + 6 + 2) as x + i*y and give i. 45 Rearrange 4*o**2 + 0*o + 0*o - 2*o + 0*o**2 to x*o + c*o**2 + i and give c. 4 Express 10*s - 30*s + 89*s as n*s + l and give l. 0 Rearrange (-5*i**4 + 3*i**4 - 7*i**4)*(-3 + 1 + 1 + (4 - 3 - 3)*(-6 - 5 + 5)) to g + j*i + l*i**3 + a*i**4 + y*i**2 and give a. -99 Express 103*y - y**3 + 2 - 3*y**4 - 103*y in the form p*y**3 + f + l*y + b*y**2 + g*y**4 and give g. -3 Rearrange -12*z - 4*z + z + 0*z to y*z + r and give y. -15 Rearrange -5*k + 66 - 30 - 33 to the form q + m*k and give m. -5 Rearrange (18*f + 8 - 8)*(-f + f + 2*f**2) to the form m*f + l*f**3 + h + q*f**2 and give l. 36 Express 14*v**2 + 12*v**2 - 3*v**2 as c*v + z + m*v**2 and give m. 23 Rearrange 2 + 3 + 2*f**2 - 4 to the form o + d*f + x*f**2 and give x. 2 Rearrange (4 + 5 - 4)*(-3 + 11 + 17)*(0 + 0 - f**3) to h*f + i + r*f**3 + w*f**2 and give h. 0 Rearrange 13*w - 1 - 15*w + 2*w + 5*w**2 to the form s*w**2 + x*w + m and give s. 5 Express (3*x + 3*x - 4*x)*(x + 2*x - 13*x) as g + c*x + v*x**2 and give v. -20 Express (-p**2 - 8*p + 8*p)*(-2 - 4 + 1) in the form t*p + y*p**2 + k and give y. 5 Rearrange 15 - 4 - 11 + 54*g to the form x + f*g and give f. 54 Express -i**3 - 4*i**3 + 4*i**3 + (3 - 3 - 2*i)*(-8*i + 8*i - 19*i**2) as n*i**3 + s*i + p + o*i**2 and give n. 37 Express -10*o + 2*o - 2*o as j*o + x and give j. -10 Rearrange 29 - 6*l**3 + 30 - 58 to the form z + u*l**3 + t*l + k*l**2 and give u. -6 Express (-3 + 3 - v)*((v - 2*v - v)*(-1 + 2 - 4) + 5*v - 4*v - 2*v + v - 5*v + v) as k*v + n*v**2 + p and give n. -2 Express (6*f - 3 + 3)*(-9 + 40 - 7 + 51) as k + c*f and give c. 450 Rearrange (-591 - 149*v + 591)*(0*v**3 - 2*v**3 + 4*v**3) to f*v**3 + y*v**4 + p + d*v + w*v**2 and give y. -298 Express 5*c**3 + 1 - 2 - 2*c**3 - c**4 in the form r*c**3 + s*c + u*c**2 + a*c**4 + h and give h. -1 Rearrange -2*i**4 + i**4 + 2*i**4 + (-4*i**3 - 2*i**3 + 3*i**3)*(-3*i + 3 - 3) to h*i**4 + n*i**3 + k*i**2 + g*i + o and give h. 10 Express (0*i**2 - i**2 + 0*i**2)*(-1 + 0 - 1) + 2*i**2 - 3*i**2 + 12*i**2 in the form s*i**2 + j + w*i and give s. 13 Express (2*l + 2*l - 3*l)*(-1 + 3 + 0)*(1 + 11 + 1) in the form p + s*l and give s. 26 Express c**3 + 23*c**4 - 22*c**4 - c + 2*c as n*c**4 + k*c + l*c**2 + x*c**3 + i and give k. 1 Rearrange (2 + 0 + 1)*(5*n + 0*n + 0*n) + (n + 0*n - 3*n)*(0 + 2 - 3) + 3 - 3 + 2*n to the form f*n + h and give h. 0 Rearrange (-2*c - 2*c + 5*c)*((-2 + 4 - 3)*(-5 + 2 + 2) - 6 + 11 - 3) to a + j*c and give j. 3 Rearrange (-l + 5*l - 2*l)*(1 - 5 - 4 + (-4 + 5 - 3)*(-4 - 1 + 4)) to the form f*l + g and give f. -12 Rearrange 74*s + 4*s**4 - 5*s**4 - s**3 - 4*s**3 - 3*s**2 - 1 - 77*s to the form w*s + f*s**4 + c + i*s**3 + v*s**2 and give w. -3 Rearrange 4*l**2 - 240*l**3 - l + l**2 - 2*l**2 + 237*l**3 to y + o*l**3 + f*l**2 + p*l and give f. 3 Express p + 4 - 42*p**2 - 7*p**4 + 2*p**3 + 42*p**2 as q*p + i + r*p**3 + j*p**2 + k*p**4 and give q. 1 Express (-d + 11 - 11 + (143 + 6*d - 143)*(-4 + 1 + 2))*(1 + 1 + 1) in the form b + m*d and give m. -21 Express (2 - 5 + 5)*(3 + 8 - 8)*(0 + 4 - 2)*(2 - 4*i + i + i) in the form s*i + d and give d. 24 Express -m**3 - m**2 + m**2 - 2*m**3 - 4*m**3 + 4*m**3 + (0*m + 0*m + 2*m**3)*(21 - 55 - 19) as j*m + x + g*m**3 + h*m**2 and give x. 0 Rearrange 21*l + 697 - 697 to the form y + h*l and give h. 21 Express (27*f**2 + 33*f**2 + 2*f - 62*f**2 - 3)*(-2*f**2 - 2 + 2) in the form y*f**2 + h*f**3 + b*f**4 + n*f + r and give h. -4 Express -3*c - 9*c + c - 23*c as o + i*c and give i. -34 Rearrange (14 - 14 - 14)*(f - 2*f - 3*f)*(-2 - 1 + 1) to l*f + m and give l. -112 Express 13*n**2 - 14*n**2 - 5*n - 5*n + n - 2*n**3 as d*n**2 + w*n**3 + s + k*n and give d. -1 Express (-2*o**2 - 5*o**2 + 2*o**2)*((2*o + 2*o - 9*o)*(-2 - o + 2) + 3*o**2 + 3*o**2 - 4*o**2) as h*o**4 + x*o + f + b*o**2 + r*o**3 and give h. -35 Express -2*q + 1 + 4*q + q + 7*q as b*q + z and give z. 1 Rearrange (2*y**2 + y - y)*(y**2 - y**2 + y**2) + (66*y - 24*y + 28*y)*(2*y**3 - y**3 - 2*y**3) to the form p*y + l*y**4 + o + g*y**3 + x*y**2 and give l. -68 Rearrange -55*c - 80*c - 87*c to t*c + o and give t. -222 Express -6*z + z**2 + z**2 + 0*z**4 + z**3 + z**4 + z**3 as o*z**4 + w*z**2 + x*z + t*z**3 + n and give x. -6 Rearrange (-3*s + 4*s - 3*s)*(3 + 1 - 2) - s + 0*s - s + 95*s + 74*s - 252*s to the form w*s + d and give w. -89 Express 7 + 3*t + 9 - 15 + 2 - 2 + 2*t + (-4 + 3 + 3)*(4 - 2*t - 4) in the form h + r*t and give h. 1 Rearrange (10 + 21 + 18)*(m - 1 + 1) - 2 + 2 - m to the form a + o*m and give a. 0 Rearrange (-2 - 3 + 3)*(-9*k**2 + 2*k**2 - 7*k**2) + 2*k**2 + 0 + 0 + (0 + 1 + 1)*(-2*k**2 + 4*k**2 - k**2) to the form x + b*k**2 + m*k and give m. 0 Rearrange 2*o**2 - 3*o**2 - o**2 + (2*o - 6*o + 2*o)*(0*o + 3*o - 2*o) + 9*o**2 + 32*o - 32*o to the form m + t*o**2 + d*o and give t. 5 Express -2*k - 1 + 6*k - 2 - 2 + k + 2 - k - 3*k + 3*k + (5*k - 2*k - 2*k)*(0 + 1 - 2) - k - k + 0*k as c + r*k and give c. -3 Rearrange (0*h - h + 2*h)*(-3*h + h + 6*h) to y + m*h**2 + i*h and give m. 4 Express -m + 12*m**3 - 2 - 16*m**3 + m in the form r + t*m**3 + z*m**2 + g*m and give r. -2 Express d + 2*d**2 + 3*d**3 - 7*d**3 - d**3 - 2 as z*d**3 + r*d + m + a*d**2 and give a. 2 Express (-v + 0*v + 2*v)*(-3*v**2 + v**2 + 4*v**2) - v**3 + 5 - 5 - 14 - 5*v**3 - 6*v**3 + 15 - 2*v in the form t + j*v**3 + w*v**2 + l*v and give j. -10 Express 1 - 2 + 1 + 14*o as k*o + t and give k. 14 Rearrange -3 - 3*v - 4*v**3 + 0 + v**3 + 5*v**3 to the form s*v**2 + x*v + k*v**3 + w and give x. -3 Rearrange 8 - 17 - 48*z**2 + 9 to s*z**2 + f*z + w and give f. 0 Rearrange y**4 - 3*y**4 - 6*y**2 + 5*y**2 + (y**3 + y**2 - y**2)*(0*y + 0*y - 3*y) to p*y**4 + o*y**3 + c + w*y**2 + h*y and give p. -5 Rearrange -2*z**3 - 2*z**3 + 2*z**3 + 3*z - 9*z**2 to the form f*z**3 + x + s*z**2 + y*z and give s. -9 Express 2 + 122*f - 3*f**4 + 127*f + f**3 - 250*f in the form q + m*f**2 + v*f + n*f**4 + p*f**3 and give p. 1 Rearrange (-2*h + 3*h + h)*(h**2 - 2*h**2 + 0*h**2) + 953*h**2 - 99*h**3 - 953*h**2 to y*h + u*h**2 + n*h**3 + k and give n. -101 Express (-2 + n + 2 - 1)*(3 - 1 - 4)*(2*n + 5*n - 5*n) in the form g*n + q + k*n**2 and give k. -4 Rearrange 0 - 3*d**4 + 6*d**2 - 2*d**2 - 2 + 2*d**4 to p*d**4 + t*d + x*d**2 + q*d**3 + y and give q. 0 Rearrange -41 + 41 - 41*x to the form c + l*x and give l. -41 Rearrange -21*r + 25*r - 127*r to c*r + s and give s. 0 Express 0*u + 3*u - 5*u + (32 - 17 - 14)*(u - 3*u + 0*u) - 4*u + 13*u - 3*u in the form q*u + j and give j. 0 Express 14*c - 5 + 0 + c + 2 in the form l + a*c and give l. -3 Rearrange -98*h - 19*h - 16*h to o + y*h and give y. -133 Express (-1 + 2 + 1)*(1 - 2 - 2)*(-7*l - 8*l + 3*l) in the form w + o*l and give o. 72 Rearrange (0*c - 3*c + c)*(-1 - 4 + 1)*(-9*c + 2*c - 9*c) to o*c + l*c**2 + y and give l. -128 Rearrange 0 + 3*y - 33*y + 0 to the form x + f*y and give x. 0 Rearrange (-2 + 3*c**2 + 2)*(-5 + 0 - 4 - 2 - 1 + 2 + 1 + 0 + 1 + (1 + 0 - 3)*(1 + 0 + 0)) to the form k + n*c**2 + g*c and give n. -30 Express 4*m + 3 - 5*m - 34*m**3 + 36*m**3 + 2*m**4 + 2*m**2 + 2*m in the form w*m**4 + z*m**2 + r + u*m**3 + d*m and give u. 2 Express (-16 + 5 + 8)*(5*t - 7*t - 7*t)
{ "pile_set_name": "DM Mathematics" }
tive of b**7/7 + 11*b**4/12 + 10*b. What is the third derivative of l(s) wrt s? 360*s**2 Let a = 0 + 2. Let c be (5 - 5)/((-2)/(-2)). Find the third derivative of 0*t**2 - 2*t**6 - 3*t**2 + a*t**2 + c*t**6 wrt t. -240*t**3 Let i(j) be the second derivative of -j + 9/2*j**2 + 0*j**3 + 1/2*j**4 + 0. What is the first derivative of i(x) wrt x? 12*x Let y(u) be the third derivative of 8*u**6/15 + 9*u**3/2 - 61*u**2. Find the first derivative of y(x) wrt x. 192*x**2 Let q(s) be the second derivative of 7*s**6/30 - s**3/2 - 9*s. Find the second derivative of q(d) wrt d. 84*d**2 Let v(n) = n**2. Let a(t) = -3*t**2 - 7. Let x(k) = -a(k) - 6*v(k). Differentiate x(o) wrt o. -6*o Suppose 3*u - 5 = 7. Let m(l) = -l**3 + 2*l**2 + 4*l. Let n be m(3). Find the second derivative of -n*s**4 + 3*s - 2*s + 0*s**u wrt s. -36*s**2 Let u(d) be the third derivative of d**9/20160 + d**6/360 + d**5/30 - d**2. Let h(g) be the third derivative of u(g). Differentiate h(p) wrt p. 9*p**2 Let f(d) be the first derivative of 19*d**7/7 - 52*d**3/3 - 33. Find the third derivative of f(x) wrt x. 2280*x**3 Suppose 2*c + c - 13 = 2*l, 2*c = l + 9. Let w be 2/2*(l - 0). What is the second derivative of o**2 + w + o - 1 + o**2 wrt o? 4 Let b(t) be the third derivative of -t**8/28 - 7*t**5/60 + 9*t**2. What is the third derivative of b(z) wrt z? -720*z**2 Let b(f) be the third derivative of 0*f + 0 + 2*f**2 + 1/20*f**5 + 1/6*f**4 + 0*f**3. What is the second derivative of b(c) wrt c? 6 Let a(q) = -q**2 + q + 6. Let h be a(0). Suppose 10 = 4*t - h. Find the third derivative of -3*f**2 - 4*f**4 + f**4 + 2*f**t wrt f. -24*f What is the derivative of -57*j**2 + 13*j**2 - 27*j**2 - 10 - 4 wrt j? -142*j Let y(n) be the third derivative of 0 + 7/6*n**3 + 0*n - 5*n**2 - 1/60*n**5 + 0*n**4. Find the first derivative of y(r) wrt r. -2*r Let b(h) be the third derivative of -h**7/360 - h**6/144 - h**4/6 - 7*h**2. Let v(k) be the second derivative of b(k). Find the second derivative of v(n) wrt n. -14 What is the first derivative of 8*d**2 - 3*d**2 + 38*d**4 - 25 - 4*d**2 + 1 wrt d? 152*d**3 + 2*d Let y be ((-2)/(-6))/1*15. Let b = -1 + 5. Find the first derivative of -y*i**3 + 4*i**3 - b + 5 wrt i. -3*i**2 Let t(o) be the first derivative of 7*o**6/3 - o**3/3 - 6*o**2 - 44. Find the second derivative of t(y) wrt y. 280*y**3 - 2 Let i be 48/10 + 5/25. Find the second derivative of -2*q**5 - 2*q - q**5 - q**i wrt q. -80*q**3 Let f(t) = -t**3 + t**2 - t + 1. Let g(q) = -18*q**3 - 8*q**2 + 44*q - 8. Let z(d) = 8*f(d) + g(d). What is the second derivative of z(l) wrt l? -156*l Let x(b) = 3*b**3 - 5*b**2 - 6*b + 6. Let z(q) = q**2 - q + 1. Let l(d) = x(d) - 6*z(d). Find the third derivative of l(j) wrt j. 18 Let r(a) be the second derivative of 0 + 0*a**6 - a + 0*a**5 + 0*a**2 + 0*a**3 + 1/14*a**7 - 1/12*a**4. What is the third derivative of r(h) wrt h? 180*h**2 What is the third derivative of 14*n**2 - 16*n**2 - 7*n + 19*n**5 + 6*n**5 - 3*n wrt n? 1500*n**2 Suppose -4*b + 3*p = -19, b = -p - p + 2. Find the second derivative of -3*a**b - 3*a**3 + 3*a**3 + 2*a + 0*a**4 wrt a. -36*a**2 What is the second derivative of -6*p - 8*p**2 + 4*p - 9*p + 0*p wrt p? -16 Let j(r) be the first derivative of -1/2*r**2 + 0*r**4 + 1/5*r**5 + 1 + 0*r + 0*r**3. What is the second derivative of j(d) wrt d? 12*d**2 Let z(v) be the second derivative of 5*v**7/14 + 3*v**4/4 + 10*v. Find the third derivative of z(y) wrt y. 900*y**2 Let b = 6 + -4. Suppose 0 = -5*n + d + 3, 3 = -2*n - 3*d + b*d. What is the second derivative of 2*g + n*g + 2*g**2 - g wrt g? 4 Let u(t) = t**4 + t**3 - t**2 + 1. Let l(p) = 9*p**4 + 4*p**3 - 4*p**2 - 11. Let g(s) = -l(s) + 4*u(s). What is the derivative of g(z) wrt z? -20*z**3 Let j = -8 + 8. Suppose j = -4*p + 18 + 2. Find the third derivative of 4*z**p + 5*z**2 - z**2 - 1 + 1 wrt z. 240*z**2 Let m(l) = l**3 - l**2 - l + 1. Let w be m(1). What is the second derivative of b - 3*b - 5*b + w*b**4 + 3*b**4 wrt b? 36*b**2 Let d(g) be the third derivative of g**8/112 + g**4/8 - 12*g**2. Find the second derivative of d(j) wrt j. 60*j**3 Let c be (2 + 0)*-1 - -8. Suppose -3*u + 3 = -c. Find the second derivative of -o**u - o - 4 + 4 wrt o. -6*o Let y(m) be the third derivative of -m**8/336 + 11*m**6/120 - m**5/5 + 2*m**3/3 + 40*m**2. Find the third derivative of y(x) wrt x. -60*x**2 + 66 Suppose 2*q = -3*q + 2*v - 6, 0 = 4*q - 4*v. Let u = 2 - q. What is the third derivative of 4*g - 2*g**5 + g**2 - u*g wrt g? -120*g**2 Let k(g) be the second derivative of g + 0*g**3 + 2*g**2 + 1/10*g**5 + 0 + 0*g**4. Differentiate k(t) wrt t. 6*t**2 Suppose -4*z - 4*m = 0, 8 - 17 = 2*z + 5*m. Suppose 2*c = -q - z, 2*c - 4*q - 11 = 1. Find the third derivative of 5*k**2 - 3*k**5 + c*k**5 - k**2 wrt k. -180*k**2 Let i(y) = -y + 1. Let r be i(3). Let c be 3 + (r + 0)*-1. What is the second derivative of 3*x - 47 + x**c + 47 wrt x? 20*x**3 Let h(r) = -r**3 - 5*r**2 + r - 7. Let p be h(-7). Let l be p/49 + 4/14. What is the second derivative of 0*d**2 + 3*d**2 - l*d**2 - 3*d wrt d? 2 What is the third derivative of 147*c - 2*c**4 + 2*c**3 + 53*c**2 - 147*c wrt c? -48*c + 12 Let r(s) = 0*s**3 + 18 + s**2 - 5*s**3 + 4*s**2 - 6. Let u(y) = 8*y**3 - 7*y**2 - 18. Let h(l) = 7*r(l) + 5*u(l). Differentiate h(p) wrt p. 15*p**2 What is the first derivative of 4*m**2 - 63*m + 63*m - 13 + 20*m**2 wrt m? 48*m Suppose -6*r + r + 10 = 0. What is the derivative of -3*g**2 + 9*g + 0 + r - 9*g wrt g? -6*g Let u(f) be the first derivative of -f**3 - 5*f**2/2 - 10. What is the second derivative of u(c) wrt c? -6 Suppose -8 = -4*d - 0. What is the first derivative of 2 + 2 + d*m**2 + 0*m**2 wrt m? 4*m Let v(r) be the first derivative of r**5/5 + r**4/3 - 4*r + 6. Let j(z) be the first derivative of v(z). What is the third derivative of j(a) wrt a? 24 Find the third derivative of 4*g**2 - 36*g**4 + 18*g**4 + 10*g**2 wrt g. -432*g Let d(k) = 2*k**3 - k**2 - 2*k - 2. Let n be d(2). Find the second derivative of 1 - 1 + n*o - 9*o**2 - 2*o wrt o. -18 Let c(p) be the third derivative of -p**9/126 + 2*p**5/15 - 5*p**2. What is the third derivative of c(f) wrt f? -480*f**3 Suppose 2*f = -1 - 1. Let x be (f + -1)*3/(-2). Find the third derivative of 4*a**x - 2*a**2 - 6*a**3 - a**3 wrt a. -18 Suppose -x = -3*f + x + 1, 4*f + x - 16 = 0. Differentiate t**f - 6*t + 6*t - 2 with respect to t. 3*t**2 Let d(m) = -2*m - 13. Let t be d(-9). Suppose -u = -t*u. Find the third derivative of -p**6 + u*p**3 + 0*p**3 - p**2 wrt p. -120*p**3 Let x(u) be the first derivative of -u**8/560 + u**6/90 + 2*u**3/3 + 3. Let l(h) be the third derivative of x(h). Find the third derivative of l(g) wrt g. -72*g Let x(q) = -4*q**2 - 5. Let t(d) be the first derivative of -20*d**3/3 - 24*d - 8. Let h(g) = -2*t(g) + 11*x(g). What is the first derivative of h(p) wrt p? -8*p Differentiate -35*z**2 + 0*z**2 + 0*z**2 - 2 wrt z. -70*z Let j be 2/(-9) - (-8)/36. Let o(p) be the third derivative of 0*p + 0*p**3 + 1/24*p**4 + j - 2*p**2 + 1/60*p**5. Find the second derivative of o(q) wrt q. 2 Let v(b) = -b**3 + 4*b**2 - b - 5. Let y be v(4). Let i be 5 - (-3)/y*3. Find the third derivative of -3*x**2 + i*x**2 + x**2 + 3*x**4 wrt x. 72*x Suppose 5*v + 2 = 6*v. What is the third derivative of 0*y**4 - v*y**2 + 0*y**4 - 9*y**6 + 3*y**2 wrt y? -1080*y**3 Let b(a) = a**2 - a. Let t be b(-1). What is the third derivative of -t*x**4 - 4*x**2 + 2*x**2 - 3*x**2 + 2*x**2 wrt x? -48*x Let f(l) = -l**2 - 3*l + 3. Let y be f(-3). What is the derivative of 2*a**y - 8*a**3 + 9 - 7 wrt a? -18*a**2 Let n(m) = m**3 - 14*m**2 - 14*m - 7. Let h be n(15). What is the second derivative of -3*i**2 + h*i - 9*i - 5*i**2 + 5*i**2 wrt i? -6 Let r(f) = -29*f**4 + 11*f**3 - 21*f + 11. Let s(t) = 10*t**4 - 4*t**3 + 7*t - 4. Let m(z) = 4*r(z) + 11*s(z). What is the second derivative of m(a) wrt a? -72*a**2 Find the third derivative of -19*y**4 - 243 - 2*y**2 - 7*y**4 + 204 - 27*y**4 wrt y. -1272*y Let o(n) be the third derivative of 0*n + 1/12*n**4 + 1/15*n**5 + 0*n**3 - 6*n**2 + 0. What is the second derivative of o(x) wrt x? 8 Let z(u) = 9*u + 22. Let r(g) = -19*g - 44. Let c(b) = 2*r(b) + 5*z(b). What is the first derivative of c(q) wrt q? 7 Let c(t) = 10 + 10 + 11*t**2 - 61*t**3 + 25*t**3 - 6. Let k(y) = 7*y
{ "pile_set_name": "DM Mathematics" }
z + 191*u*z - u + 5*v*z - 2*v + 12*z wrt u. 6*v*z - 4*v - 7418*z - 22 Differentiate 54360*l**3 - 41914 wrt l. 163080*l**2 Find the second derivative of 2*c**5 + 11169*c**3*s - 3*c**2*s + 3*c*s - 2*c + 1078*s - 2 wrt c. 40*c**3 + 67014*c*s - 6*s Differentiate -5238*l*z**3 + 3*l*z - 17*l - z**3 + 4*z**2 - 2*z + 830 wrt l. -5238*z**3 + 3*z - 17 Find the second derivative of 48*r**4 + r**3 - 2773*r**2 - 785*r - 393 wrt r. 576*r**2 + 6*r - 5546 Find the third derivative of -36018*s**3*t**3 - 26*s**3 + 2654*s*t**2 - 2*t**5 wrt t. -216108*s**3 - 120*t**2 Find the second derivative of 9597*u**5 + u**3 + 1345*u - 2. 191940*u**3 + 6*u What is the third derivative of 2*d**3*m*y**3 - 3*d**3*y**2 - d*m - 19*m*y**3 + 178*m*y**2 + 4*y**3 - 7*y**2 wrt y? 12*d**3*m - 114*m + 24 Find the third derivative of 7*l**3*w**3 + l**3*w**2 - 5577*l**2*w**2 - 122*l*w**6 + 2*l - 3*w**2 wrt w. 42*l**3 - 14640*l*w**3 What is the second derivative of 4202229*v**2 - 2816674*v wrt v? 8404458 Find the first derivative of 2*k**2*q + 14*k**2 + 9*k*q + 93*q + 13 wrt k. 4*k*q + 28*k + 9*q What is the second derivative of -26481*b**2*p*w**2 + b**2*p*w - 2920*b**2*p + 4*b**2*w**2 + 19*p*w wrt w? -52962*b**2*p + 8*b**2 Differentiate 34494*u - 16717. 34494 Find the third derivative of -h**5*z - 930*h**4*z - 6*h**3*z - 81*h**2*z + 10*h*z - 7 wrt h. -60*h**2*z - 22320*h*z - 36*z What is the second derivative of -992*v**5 - 5*v**4 + 2*v**3 - 2510*v wrt v? -19840*v**3 - 60*v**2 + 12*v What is the first derivative of 1474555*w**2 - 105574? 2949110*w What is the second derivative of -9*w**2*x**2 - 2*w**2 - 27382*w*x**4 - 4*w + x - 77973 wrt x? -18*w**2 - 328584*w*x**2 Find the third derivative of -3*m**6 - 21*m**4 - 85*m**3*q + 2*m**2*q + 211759 wrt m. -360*m**3 - 504*m - 510*q What is the third derivative of 394240*g*l**3 - 291*g*l**2 + g + 18*l + 4 wrt l? 2365440*g Find the third derivative of -q**6 - 210240*q**3 - 1234417*q**2. -120*q**3 - 1261440 Find the third derivative of 1095120*s**3 - 2*s**2 + 4543530*s wrt s. 6570720 What is the second derivative of 1462493*p**2*s + 106*p*s + p - 31*s - 4 wrt p? 2924986*s What is the derivative of -32560*u**2 - 9*u + 24642 wrt u? -65120*u - 9 What is the third derivative of -49531*s**4 + 22445*s**2 - s - 2? -1188744*s What is the second derivative of 1814598*i**2*j**2*p**2 - 213*i**2*j*p**2 + i**2*p + 2*i**2 + 60*i*j*p**2 + i*j*p - 2*j**2 - 2*j*p**2 wrt j? 3629196*i**2*p**2 - 4 What is the second derivative of -17*d*t**3 + 8*d*t**2 + 54*d - 51*t**3 + 2*t - 14 wrt t? -102*d*t + 16*d - 306*t Find the second derivative of 328*x**5 + 11*x**2 - 214823*x wrt x. 6560*x**3 + 22 Find the third derivative of 6727*u**3 + u**2 + 2*u - 553. 40362 What is the third derivative of 525*w**5 - 4*w**4 - 3*w**3 + 3604*w**2 + 1? 31500*w**2 - 96*w - 18 What is the second derivative of 112816*c**5 - 94631*c wrt c? 2256320*c**3 What is the first derivative of -1242*w**4*z - 415*w**2*z**2 + 109*z**2 - 381*z wrt w? -4968*w**3*z - 830*w*z**2 Find the second derivative of 22700*w**5 - 9*w**4*x - 7*w*x + w - 56*x + 651 wrt w. 454000*w**3 - 108*w**2*x What is the third derivative of 9279*l**5 - 3*l**4 - 4*l**3 + 22052*l**2 + l + 1 wrt l? 556740*l**2 - 72*l - 24 What is the first derivative of 58*j**3 - 122*j**2 - 144202? 174*j**2 - 244*j Find the second derivative of 204330*d**3*l**2 + 57526*d**3*l + d*l + 1 wrt l. 408660*d**3 What is the derivative of 269*m**2 - 1494*m + 498967? 538*m - 1494 Find the third derivative of -2193972*w**4 - 1069*w**2 - 2*w - 134. -52655328*w What is the third derivative of 38467*w**4 - 24*w**2 - 519 wrt w? 923208*w Find the third derivative of -54*h*n**3 + 34*h*n**2 - 4*h + 82*n**5 wrt n. -324*h + 4920*n**2 What is the third derivative of 2083080*t**4 - 94*t**2 - 138*t + 7 wrt t? 49993920*t Find the third derivative of -292*h*j**6 - 48*h*j**3 - 2*h*j**2 + 418*j**2 - 2*j wrt j. -35040*h*j**3 - 288*h Find the first derivative of 47303*g**4 - 154610. 189212*g**3 Find the second derivative of 7860*t**4 - 2*t**3 + t**2 - 79526*t - 1. 94320*t**2 - 12*t + 2 What is the second derivative of 207125*l**2 - 130031*l? 414250 Find the second derivative of -4690*t**5 + 2*t**3 - 2*t**2 - 39494*t. -93800*t**3 + 12*t - 4 What is the second derivative of 2*m**4 + 10868*m**3*w**3 + 141*m*w**3 + 17*m*w**2 wrt m? 24*m**2 + 65208*m*w**3 What is the second derivative of b**2*k**3*x + 11*b**2*k*x**2 - 6*b**2*k - 2*b**2*x - b + 106*k**3*x**2 - 222*k**3 + 2*k*x**2 wrt x? 22*b**2*k + 212*k**3 + 4*k What is the third derivative of 223548*u**4 + 449570*u**2 wrt u? 5365152*u Find the second derivative of 41513*u**2 - 1979*u - 3 wrt u. 83026 Find the second derivative of -l**3*m**2*z**2 + 55281*l**3*m**2*z + 4*l**3*m*z**2 + 444*l*m*z**2 wrt m. -2*l**3*z**2 + 110562*l**3*z What is the third derivative of -33181*l**5 - 77246*l**2? -1990860*l**2 What is the third derivative of 69*f**6 + 131*f**5 + f**3 + 113660*f**2 + 2*f + 1 wrt f? 8280*f**3 + 7860*f**2 + 6 Find the second derivative of -21*j**3*k + 3*j**3 - 17*j**2*k - j**2 + 97*j*k - 14*j + k wrt j. -126*j*k + 18*j - 34*k - 2 What is the second derivative of -47940*x**3 + 186231*x? -287640*x Find the first derivative of -1071*d**3*l**3 - 31*d**3*l**2*q - 22*d*l**2 + 8666*l**3*q - l**3 wrt q. -31*d**3*l**2 + 8666*l**3 What is the second derivative of -102*j**3 + 2361*j**2 - 822057*j wrt j? -612*j + 4722 Find the third derivative of 40*a**3*o**4 - 138*a**3*o**2 + 44*a**3*o - 81*a**2*i**2*o**4 + i**2*o**2 - i*o wrt o. 960*a**3*o - 1944*a**2*i**2*o What is the third derivative of -57*z**4 + 105*z**3 - 7*z**2 - 10*z - 47 wrt z? -1368*z + 630 Find the second derivative of 540*l**4 + 27*l**3 - 19*l**2 - 3171758*l wrt l. 6480*l**2 + 162*l - 38 Differentiate 25*f**2*j*k**3 - f**2*j + 8*f*k**3 + 15*j - 427*k**3 wrt f. 50*f*j*k**3 - 2*f*j + 8*k**3 What is the second derivative of 501589*w**4 - 13440*w + 3 wrt w? 6019068*w**2 What is the derivative of -g**2*t**2 - 22*g**2*t - 41*g**2 - 64*t**3 + 389 wrt t? -2*g**2*t - 22*g**2 - 192*t**2 What is the second derivative of 1672*g**2*m*z - 2*g**2*m - 6*g**2*z + 2*g**2 + 226*g*m*z - g*z - g + 43 wrt g? 3344*m*z - 4*m - 12*z + 4 Differentiate 14302*c**4*p - p - 36745 wrt c. 57208*c**3*p Find the second derivative of 115*j**4 + 73*j**3 - 6*j**2 - 93069*j. 1380*j**2 + 438*j - 12 What is the second derivative of -342298*c**4 + 5*c - 8696 wrt c? -4107576*c**2 Find the third derivative of -116746*q**3 + 2*q**2 + 39515*q - 3 wrt q. -700476 What is the second derivative of 178102*j**3 + 14070*j? 1068612*j Find the third derivative of -344*b**2*j**4 + 8*b**2*j**2 - 4*b**2*j + 209*b*j**3 - 2*j**2 + 52*j wrt j. -8256*b**2*j + 1254*b Find the first derivative of 147034*r**3 - 48153 wrt r. 441102*r**2 Find the second derivative of -663902*z**2 - 5*z + 158322 wrt z. -1327804 What is the second derivative of -3*x**4 - 22*x**3 + 2*x**2 - 1362439*x wrt x? -36*x**2 - 132*x + 4 Find the second derivative of 178713*a**2*n**2*v**2 - 4*a**2*v**2 - 11*a*n*v - 636*n*v**2 wrt n. 357426*a**2*v**2 Differentiate -183*g**2*w + 43514*g**2 - 149*g*w + 2*w with respect to w. -183*g**2 - 149*g + 2 Find the third derivative of 13*k**3*m*o**3 - 214*k**3*m*o - 7*k**3*m + 2*k**2*m*o**3 + 9*k**2*m + 2*k**2*o**2 - 3*k*m*o**3 - 2*k*m*o**2 wrt k. 78*m*o**3 - 1284*m*o - 42*m What is the third derivative of -p**2*s**3 + p**2*s + 116814*s**3 + 45711*s**2 wrt s? -6*p**2 + 700884 What is the derivative of -12*r**3*w - 7*r**3 - 5*r + 13872*w**4 - 192 wrt w? -12*r**3 + 55488*w**3 Find the first derivative of 3600*p**3 - 16*p + 99659 wrt p. 10800*p**2 - 16 Find the second derivative of 30*q**2*r**2 - 77*q**2*r - 21*q**2 + 2*q*r**2 + 737*q*r + 6*q - 6*r**2 wrt q. 60*r**2 - 154*r - 42 What is the second derivative of -5*v**4 + 12409*v**3 - 199483*v wrt v? -60*v**2 + 74454*v Differentiate -2392*w**4 + 216*w**2 - 360496 wrt w. -9568*w**3 + 432*w What is the second derivative of -66224*n**4 + 1050*n + 30 wrt n? -794688*n**2 What is the derivative of -1795041*b - 2518411 wrt b? -1795041 Find the first derivative of 83*i**2 - 905*i - 83365. 166*i - 905 What is the second derivative of -605272*h**2 - 18*h + 14172? -1210544 Find the second derivative of 173*j**2*o*v*w + 125*j**2*o - 2*j**2*v*w**2 + 6*j*v*w**2 - 3*j*v - 5*j*w + 2*o*w**2 + o + 5*v*w*
{ "pile_set_name": "DM Mathematics" }
lve -11 = -t - 16 for t. -5 Solve 7*q + 84 = 126 for q. 6 Solve 113 = -63*x - 328 for x. -7 Solve -131*o - 34 = -148*o for o. 2 Solve 27*k = 23*k + 12 for k. 3 Solve 112*a + 140 = 92*a for a. -7 Solve 46 - 30 = -4*y for y. -4 Solve -5*d + 395 = 370 for d. 5 Solve 26*o = 19*o - 35 for o. -5 Solve -124*y + 98*y = 52 for y. -2 Solve 17*f - 19*f = -6 for f. 3 Solve -7*m + 7 + 7 = 0 for m. 2 Solve -13 - 103 = 29*p for p. -4 Solve -15 = 14*a - 1 for a. -1 Solve 48*i + 210 = 13*i for i. -6 Solve -4*z + 3 = -3*z for z. 3 Solve -19*a - 12 = -7*a for a. -1 Solve -11*x = 12*x - 7*x for x. 0 Solve -1463 = -7*h - 1428 for h. 5 Solve 0 = 10*z + 2*z + 10*z for z. 0 Solve 2*s + 8 - 2 = 0 for s. -3 Solve 3*z = 4 - 22 for z. -6 Solve 0 = -2*w + 31 - 35 for w. -2 Solve -3873*b - 34 = -3890*b for b. 2 Solve 17 = 4*k + 9 for k. 2 Solve -27 = 6*o - 15 for o. -2 Solve 4*a - 78 = -66 for a. 3 Solve 0 = -w + 14 - 18 for w. -4 Solve -33 = -6*h - 3 for h. 5 Solve -21*f + 9*f + 84 = 0 for f. 7 Solve -378*o + 371*o = -28 for o. 4 Solve 23*q - 21*q = -2 for q. -1 Solve -48 = 19*m - 10 for m. -2 Solve -41*o + 28*o + 78 = 0 for o. 6 Solve 0 = -7*y + 87*y + 400 for y. -5 Solve -8*h + 6 = -10 for h. 2 Solve -239 = -38*k - 49 for k. 5 Solve 0*i = 6*i for i. 0 Solve -45*g = -g + 132 for g. -3 Solve 13 + 23 = -9*n for n. -4 Solve 0 = 6*q + 30 - 0 for q. -5 Solve 16*l = -17*l + 14*l for l. 0 Solve -58 = -38*p - 20*p for p. 1 Solve 383*n - 378*n = -25 for n. -5 Solve 160*m - 164*m + 4 = 0 for m. 1 Solve -43*q + 26 = -17*q for q. 1 Solve 17*o + 55 + 47 = 0 for o. -6 Solve 5*q + 9 = -11 for q. -4 Solve 36 = 4*n + 36 for n. 0 Solve 15*l = -8*l - 23 for l. -1 Solve 18*w - 39 = -21 for w. 1 Solve 5*b - 44 = -39*b for b. 1 Solve -18*z + 17 = 107 for z. -5 Solve 5*f - 45 = -4*f for f. 5 Solve -262 = 50*p + 38 for p. -6 Solve 0 = -11*t - 35 + 79 for t. 4 Solve 0 = 13*y + 2 + 63 for y. -5 Solve 453 = 4*t + 449 for t. 1 Solve -3*d = 220 - 211 for d. -3 Solve -13*m + 16*m - 3 = 0 for m. 1 Solve 37*o - 38*o = 4 for o. -4 Solve -56*i - 4 = -52*i for i. -1 Solve 20*z = 48*z - 84 for z. 3 Solve -2*o + 3 + 1 = 0 for o. 2 Solve 6*k = 2*k - 3*k for k. 0 Solve 1466 = -21*j + 1613 for j. 7 Solve -39*p = -38*p for p. 0 Solve -5*v - 2*v - 21 = 0 for v. -3 Solve -7*s + 91 = 84 for s. 1 Solve -8*a + 211 - 171 = 0 for a. 5 Solve -26 = -3*t - 20 for t. 2 Solve 2*g - 21 + 15 = 0 for g. 3 Solve -g - 19 + 21 = 0 for g. 2 Solve -3*b - 20 = -11 for b. -3 Solve 0 = 8*j - 9 + 25 for j. -2 Solve -3*g - 9 = 3 for g. -4 Solve 3293 = b + 3291 for b. 2 Solve -45*g = -38*g for g. 0 Solve -3*f - 3*f + 24 = 0 for f. 4 Solve 0 = -2*c - 2*c + 8 for c. 2 Solve -50 = 214*n - 224*n for n. 5 Solve 0 = -2*n - 13 + 5 for n. -4 Solve 18*o - 21*o + 9 = 0 for o. 3 Solve 2*f + 2 = 10 for f. 4 Solve 215*a = 227*a - 84 for a. 7 Solve 0 = -9*a - 3*a - 60 for a. -5 Solve p = 21*p - 120 for p. 6 Solve 2*k - 24 + 22 = 0 for k. 1 Solve -3*z = -53 + 50 for z. 1 Solve 68*x + 28 = 96*x for x. 1 Solve 25 = -4*o + 49 for o. 6 Solve -27*k + 221 = 5 for k. 8 Solve -173*m + 195*m = -198 for m. -9 Solve -168 = 31*j - 115*j for j. 2 Solve 88*q - 45*q = 0 for q. 0 Solve 0*q + 3*q = -3*q for q. 0 Solve -10*u = -207 + 257 for u. -5 Solve -51*d - 66 = -18*d for d. -2 Solve -y + 1 = -0*y for y. 1 Solve 173 - 333 = -20*i for i. 8 Solve 0 = -10*j + 4*j + 30 for j. 5 Solve -30 + 125 = 19*z for z. 5 Solve -3*r - 2*r = -20 for r. 4 Solve 0 = -34*v + 63*v - 32*v for v. 0 Solve 8*v - 10 = 6*v for v. 5 Solve -25*a - 21*a = -322 for a. 7 Solve -5*w = -17 + 2 for w. 3 Solve 0 = -2*f - 37*f - 78 for f. -2 Solve 314 - 370 = -28*d for d. 2 Solve 2*a = -0*a + 4 for a. 2 Solve -7*f + 30 = -13*f for f. -5 Solve -30*t = -28*t for t. 0 Solve 2*v - 7 = -1 for v. 3 Solve 0 = -9*r + 36 + 36 for r. 8 Solve 0 = -94*q + 635 - 259 for q. 4 Solve 422 - 413 = 3*k for k. 3 Solve -73*x = -69*x - 4 for x. 1 Solve 21*i + 22*i = 34*i for i. 0 Solve 13*u - 5*u = 24 for u. 3 Solve -45 = -36*s + 99 for s. 4 Solve 15*n - 3 - 12 = 0 for n. 1 Solve 3*t = 8*t + 4*t for t. 0 Solve -13 - 11 = -12*j for j. 2 Solve -18*a = 13*a - 155 for a. 5 Solve 117*a + 357 - 1527 = 0 for a. 10 Solve 0 = 13*s - 25 - 40 for s. 5 Solve 0 = -3*j - 6 for j. -2 Solve -87*v = -92*v - 20 for v. -4 Solve -9 = 22*v - 19*v for v. -3 Solve -626 + 598 = 4*k for k. -7 Solve 5*d - 180 = -15*d for d. 9 Solve 0 = 36*z - 8*z + 252 for z. -9 Solve 23*z - 15 = 100 for z. 5 Solve 18 = 2*s + s for s. 6 Solve 0 = -58*d + 51*d - 7 for d. -1 Solve 18 = 213*c - 195*c for c. 1 Solve -51 = 29*y - 22 for y. -1 Solve 5*d + 3 = 6*d for d. 3 Solve 16 - 13 = -i for i. -3 Solve 0*x + 6 = 3*x for x. 2 Solve 1230*f = 1243*f - 91 for f. 7 Solve 0 = -4*w + 7*w - 12 for w. 4 Solve 0 = 85*l - 80*l - 10 for l. 2 Solve 0 = -10557*p + 10565*p - 56 for p. 7 Solve 236 = -10*r + 206 for r. -3 Solve -5*x + 5 = -6*x for x. -5 Solve 122*n = 149*n - 243 for n. 9 Solve -164 = 14*z - 66 for z. -7 Solve 6 = 9*b + 15 for b. -1 Solve 9 = 8*l - 11*l for l. -3 Solve -29 = 8*d - 5 for d. -3 Solve -8*t = -10*t for t. 0 Solve -15*a + 6 = -14*a for a. 6 Solve 132 = -32*d - 60 for d. -6 Solve -19*o - 16 = -15*o for o. -4 Solve -2*n - 5*n = 14 for n. -2 Solve 766*k = 773*k + 56 for k. -8 Solve -12 = 56*q - 54*q for q. -6 Solve 105*d + 216 = 159*d for d. 4 Solve 6*h - 3 = 5*h for h. 3 Solve 0*y - 4*y = -8*y for y. 0 Solve -42*a + 78 = -68*a for a. -3 Solve 2*n + 5*n + 7 = 0 for n. -1 Solve 4*n - 41 = -53 for n. -3 Solve -25 = 9*p - 7 for p. -2 Solve -4*m - 3 = -3*m for m. -3 Solve -2*w = -0 + 2 for w. -1 Solve 5*b - 95 + 110 = 0 for b. -3 Solve -3*b + 28 - 16 = 0 for b. 4 Solve -6*b + 926 = 914 for b. 2 Solve -165 = 409*s - 442*s for s. 5 Solve 16*u = -0*u - 6*u for u. 0 Solve -41*j + 371 = 2 for j. 9 Solve -70*s + 54*s + 48 = 0 for s. 3 Solve -53 = -51*h + 151 for h. 4 Solve 9 = -15*u + 54 for u. 3 Solve -24 = 4*s - 20 for s. -1 Solve 7*q + 38 = 80 for q. 6 Solve 81*q - 658 = -91 for q. 7 Solve 4*t + 38 = 46 for t. 2 Solve 0 + 28 = -7*z for z. -4 Solve -62*v + 59*v - 3 = 0 for v. -1 Solve -7 = -4*x - 3 for x. 1 Solve 12 = 2*o + 20 for o. -4 Solve -44*m - 112 = -100*m for m. 2 Solve -4*b + 11 - 27 = 0 for b. -4 Solve 12*m = 38*m + 156 for m. -6 Solve 3 = 33*a - 30*a for a. 1 Solve -135 = -33*d - 36 for d. 3 Solve -7*l - 2*l - 9 = 0 for l. -1 Solve 75 - 60 = 3*n for n. 5 Solve -q - 25 = 24*q for q. -1 Solve 15 = -7*g + 57 for g. 6 Solve 0 = 5*m - 7 - 18 for m. 5 Solve 22 = 3*q + 25 for q. -1 Solve -5*u - 31 = -21 for u. -2 Solve 4*y - 16 = -24 for y. -2 Solve 76*o + 4*o = 640 for o. 8 Solve 3*c - 10*c = -c for c. 0 Solve 114 - 72 = -6*n for n. -7 Solve 211*n = 203*n for n. 0 Solve 16*k - 20 - 12 = 0 for k. 2 Solve 36 = -17*v + 8*v for v. -4 Solve 15*h + 2 = 13*h for h. -1 Solve 328*b - 6 = 329*b for b. -6 Solve 141 = s + 142 for s. -1 Solve -32*l = -41*l for l. 0 Solve -l - 16 = -20 for l. 4 Solve -23*k = -18*k for k. 0 Solve 0 = -1558*z + 1564*z + 36 for z. -6 Solve -458 + 530 = -9*q for q. -8 Solve 2*m + 37*m = 156 for m. 4 Solve -1063*r + 1053*r - 10 = 0 for r. -1 Solve 9*v + 0 = -9 for v. -1 Solve 13*i + 27 + 64 = 0 for i. -7 Solve 0 = g - 18 + 20 for g. -2 Solve -7*c = -8*c + 3 for c. 3 Solve -2*a + 33 = 27 for a. 3 Solve -23 + 31 = -2*s for s. -4 Solve -7 = -12*p - 43 for p. -3 Solve -7*h + 3*h = 0 for h. 0 Solve -19*y + 232 = 327 for y. -5 Solve 2*s + 20 = 20 for s. 0 Solve -2*r = -7*r - 0*r for r. 0 Solve -7*c + 2*c = -15 for c. 3 Solve 0 = -6*h - 444 + 468 for h. 4 Solve -20 = 3*c - 8 for c. -4 Solve -190*d + 12 = -192*d for d. -6 Solve 13*p = -6 + 123 for p. 9 Solve 16 - 46 = 3*k for k. -10 Solve -s + 1 = -4 for s. 5 Solve 22*w + 16 + 116 = 0 for w. -6 Solve 68*w + 10 = 58*w for w. -1 Solve -31*i + 45 + 110 = 0 for i. 5 Solve 168*d - 40*d - 640 = 0 for d. 5 Solve -5*q + 2139 - 2169 = 0 for q. -6 Solve -j = 3*j - 12 for j. 3 Solve -10*g = -3*g + 14 for g. -2 Solve 9*t = 4*t + 5 for t. 1 Solve 67*o = 60*o + 7 for o. 1 Solve -20*d = 4 + 76 for d. -4 Solve -29*q = 244 - 70 for q. -6 Solve -16 = 2*j - 6*j for j. 4 Solve -157 = -5*u - 127 for u. 6 Solve -532*q = -538*q + 48 for q. 8 Solve 4*t - 5 + 21 = 0 for t. -4 Solve -38*g - 129 - 23 = 0 for g. -4 Solve 13*q - 4*q + 9 = 0 for q. -1 Solve 283*w + 12 = 287*w for w. 3 Solve 21 - 6 = 15*p for p. 1 Solve -7*s = -36
{ "pile_set_name": "DM Mathematics" }
4250, 11296, 18322, 25328, 32314, 39280? -10*g**2 + 7076*g - 2816 What is the j'th term of 981906, 981905, 981904, 981903, 981902, 981901? -j + 981907 What is the m'th term of 2418346, 2418272, 2418198, 2418124? -74*m + 2418420 What is the z'th term of 64544061, 64544060, 64544059, 64544058, 64544057, 64544056? -z + 64544062 What is the w'th term of -91, -19, 249, 833, 1853, 3429, 5681, 8729? 20*w**3 - 22*w**2 - 2*w - 87 What is the z'th term of -4309, -4648, -5139, -5782, -6577? -76*z**2 - 111*z - 4122 What is the f'th term of -30272, -59746, -89220? -29474*f - 798 What is the f'th term of 3771, 16657, 38135, 68205, 106867? 4296*f**2 - 2*f - 523 What is the f'th term of 374846, 749715, 1124584, 1499453? 374869*f - 23 What is the i'th term of 7539, 18165, 28791, 39417? 10626*i - 3087 What is the d'th term of 606207, 1212414, 1818621, 2424828, 3031035? 606207*d What is the i'th term of 423111, 846227, 1269347, 1692471, 2115599? 2*i**2 + 423110*i - 1 What is the o'th term of -1903026, -3806025, -5709024, -7612023, -9515022, -11418021? -1902999*o - 27 What is the u'th term of -2613355, -2613362, -2613369, -2613376? -7*u - 2613348 What is the r'th term of 12882, 51628, 116222, 206664, 322954, 465092, 633078? 12924*r**2 - 26*r - 16 What is the c'th term of -944146, -944140, -944134, -944128, -944122, -944116? 6*c - 944152 What is the r'th term of -25921, -26331, -26741, -27151, -27561, -27971? -410*r - 25511 What is the c'th term of 5468957, 10937916, 16406875, 21875834, 27344793, 32813752? 5468959*c - 2 What is the i'th term of -2374, -5454, -8520, -11566, -14586, -17574, -20524, -23430? i**3 + i**2 - 3090*i + 714 What is the o'th term of 195193, 195156, 195023, 194746, 194277, 193568? -8*o**3 + 19*o + 195182 What is the l'th term of 164899, 329556, 494203, 658834, 823443, 988024, 1152571? -l**3 + l**2 + 164661*l + 238 What is the t'th term of 13879, 107724, 362319, 858040, 1675263, 2894364, 4595719? 13396*t**3 - t**2 + 76*t + 408 What is the j'th term of 202469986, 404939968, 607409950, 809879932, 1012349914? 202469982*j + 4 What is the g'th term of 449, 310, 335, 524? 82*g**2 - 385*g + 752 What is the y'th term of 5624, 4296, 2968, 1640, 312? -1328*y + 6952 What is the n'th term of -163900, -655588, -1475066, -2622334? -163895*n**2 - 3*n - 2 What is the x'th term of -36986, -36677, -36368, -36059? 309*x - 37295 What is the q'th term of 4445, 20961, 48507, 87089, 136713, 197385, 269111, 351897? q**3 + 5509*q**2 - 18*q - 1047 What is the c'th term of -1694, -2383, -3158, -4061, -5134, -6419, -7958? -7*c**3 - c**2 - 637*c - 1049 What is the a'th term of 31658064, 31658020, 31657976, 31657932, 31657888? -44*a + 31658108 What is the d'th term of 43388741, 86777478, 130166215, 173554952, 216943689? 43388737*d + 4 What is the j'th term of 5019871, 10039742, 15059613, 20079484? 5019871*j What is the j'th term of 20692, 83458, 188302, 335224, 524224? 21039*j**2 - 351*j + 4 What is the t'th term of 33357918, 33357915, 33357910, 33357903? -t**2 + 33357919 What is the p'th term of -937, -564, 271, 1742, 4023, 7288, 11711? 29*p**3 + 57*p**2 - p - 1022 What is the z'th term of -1928, -8981, -21132, -38381, -60728, -88173? -2549*z**2 + 594*z + 27 What is the z'th term of 25623, 102450, 230489, 409740, 640203, 921878, 1254765? 25606*z**2 + 9*z + 8 What is the a'th term of 256763, 253614, 250465, 247316? -3149*a + 259912 What is the v'th term of 1274764878, 1274764877, 1274764876? -v + 1274764879 What is the h'th term of -28802, -27257, -25710, -24161, -22610, -21057, -19502? h**2 + 1542*h - 30345 What is the v'th term of -203330703, -203330702, -203330701, -203330700, -203330699? v - 203330704 What is the u'th term of 5288, 16645, 34074, 57575, 87148, 122793? 3036*u**2 + 2249*u + 3 What is the f'th term of -974245, -974252, -974263, -974278, -974297? -2*f**2 - f - 974242 What is the g'th term of 38627, 56221, 73815, 91409, 109003, 126597? 17594*g + 21033 What is the k'th term of 26007, 26658, 27707, 29154, 30999, 33242? 199*k**2 + 54*k + 25754 What is the m'th term of -26587, -47445, -68303, -89161, -110019? -20858*m - 5729 What is the s'th term of -8038578, -32154354, -72347326, -128617494? -8038598*s**2 + 18*s + 2 What is the z'th term of -39, -368, -963, -1818, -2927? z**3 - 139*z**2 + 81*z + 18 What is the n'th term of -6095948, -12192323, -18288696, -24385067? n**2 - 6096378*n + 429 What is the j'th term of -35766, -143280, -322462, -573306, -895806, -1289956, -1755750, -2293182? j**3 - 35840*j**2 - j + 74 What is the p'th term of -9299, -18254, -27209, -36164, -45119? -8955*p - 344 What is the z'th term of -342695, -685176, -1027657, -1370138, -1712619, -2055100? -342481*z - 214 What is the y'th term of -25436, -100672, -226066, -401618? -25079*y**2 + y - 358 What is the c'th term of -8370, -33535, -75488, -134229, -209758? -8394*c**2 + 17*c + 7 What is the k'th term of 73038, 74129, 75220, 76311, 77402? 1091*k + 71947 What is the s'th term of -15885892, -15885894, -15885896? -2*s - 15885890 What is the t'th term of 1264555, 1264554, 1264555, 1264558? t**2 - 4*t + 1264558 What is the o'th term of -342525, -1369719, -3081583, -5478117? -342335*o**2 - 189*o - 1 What is the a'th term of -390, -3284, -11142, -26448, -51686, -89340, -141894? -414*a**3 + 2*a**2 - 2*a + 24 What is the n'th term of -68092218, -68092220, -68092222, -68092224? -2*n - 68092216 What is the l'th term of -11428, -48851, -111218, -198529, -310784, -447983, -610126? -12472*l**2 - 7*l + 1051 What is the i'th term of 513, 1630, 2727, 3804, 4861? -10*i**2 + 1147*i - 624 What is the h'th term of -73783, -74664, -75547, -76432, -77319, -78208, -79099? -h**2 - 878*h - 72904 What is the f'th term of 96828, 194577, 292322, 390063? -2*f**2 + 97755*f - 925 What is the q'th term of -13569, -27172, -40771, -54366, -67957, -81544? 2*q**2 - 13609*q + 38 What is the c'th term of 32593, 65184, 97775? 32591*c + 2 What is the w'th term of 82254929, 164509852, 246764775, 329019698, 411274621? 82254923*w + 6 What is the s'th term of -4209991, -8419982, -12629973, -16839964? -4209991*s What is the v'th term of 447654, 447672, 447690, 447708? 18*v + 447636 What is the k'th term of 73481, 57629, 41775, 25919, 10061, -5799? -k**2 - 15849*k + 89331 What is the t'th term of -1274, -2925, -4964, -7385, -10182, -13349, -16880, -20769? t**3 - 200*t**2 - 1058*t - 17 What is the z'th term of 40080, 55937, 71794, 87651, 103508? 15857*z + 24223 What is the u'th term of -1685, -3323, -5007, -6743, -8537, -10395, -12323, -14327? -u**3 - 17*u**2 - 1580*u - 87 What is the m'th term of -88, -477, -1294, -2671, -4740, -7633, -11482, -16419? -22*m**3 - 82*m**2 + 11*m + 5 What is the w'th term of -86334, -172736, -259138, -345540? -86402*w + 68 What is the l'th term of -286690183, -286690187, -286690193, -286690201, -286690211? -l**2 - l - 286690181 What is the t'th term of -4760, -31765, -103276, -241547, -468832? -3709*t**3 + t**2 - 1045*t - 7 What is the l'th term of -8254751, -8254752, -8254753, -8254754? -l - 8254750 What is the g'th term of -17640, -17603, -17512, -17343, -17072? 4*g**3 + 3*g**2 - 17647 What is the l'th term of 3829, 6763, 11647, 18475, 27241, 37939? -l**3 + 981*l**2 - 2*l + 2851 What is the p'th term of 3615842, 3615839, 3615836? -3*p + 3615845 What is the t'th term of -16436615, -32873234, -49309855, -65746478? -t**2 - 16436616*t + 2 What is the h'th term of -104795, -106160, -107527, -108896, -110267, -111640? -h**2 - 1362*h - 103432 What is the n'th term of 10194, 20385, 30576, 40767, 50958, 61149? 10191*n + 3 What is the y'th term of 178887, 357500, 536103, 714696? -5*y**2 + 178628*y + 264 What is the p'th term of 4758, 4766, 4762, 4740, 4694, 4618? -p**3 + 15*p + 4744 What is the k'th term of -39766, -39468, -39064, -38548, -37914? k**3 + 47*k**2 + 150*k - 39964 What is the b'th term of 288128, 576222, 864316, 1152410? 288094*b + 34 What is the g'th term of 54658, 54604, 54550, 54496, 54442, 54388? -54*g + 54712 What is the z'th term of -27046, -53791, -80234, -106375, -132214, -157751? 151*z**2 - 27198*z + 1 What is the c'th term of 180707, 360395, 540085, 719777, 899471, 1079167? c**2 + 179685*c + 1021 What is the t'th term of -5907789, -5907792, -5907795, -5907798, -5907801, -5907804? -3*t -
{ "pile_set_name": "DM Mathematics" }
*u - 24 = 0. Let b be u/14 - 18/(-7). Let x be (-3)/(b + -5) + (-5)/(-1). Solve -x*s - 2 = -4*s for s. -1 Let y(h) = h + 3. Let j be y(-2). Let w(x) = -7*x + 8. Let f be w(0). Let p be (6/3)/((-3)/((-12)/f)). Solve 2*v + j + p = 0 for v. -1 Let u(p) = -156*p + 316*p - 156*p - 125. Let a be u(32). Solve 2*h + a - 7 = 0 for h. 2 Suppose -26*o + 276 + 764 = 0. Solve -18 = -34*v + o*v for v. -3 Let x(y) = y**3 - 7*y**2 + 8*y - 6. Let g = -24 + 25. Let i be ((-13)/(-1) - g)/((-2)/(-1)). Let j be x(i). Solve j = 2*h + h for h. 2 Suppose -2835 - 2265 = -10*k - 50*k. Solve -k = -2*l + 19*l for l. -5 Let b(s) = s**3 + 17*s**2 + 16*s + 18. Let t be b(-16). Let u be 9/(-6)*(0 - 60/t). Solve -7*i + u*i = 0 for i. 0 Let y be (2*10/(-4))/(12/96). Let j be ((-8)/4)/(4/y). Suppose -3*l = 7*l - j. Solve -5*i - 3 = -l*i for i. -1 Suppose 77*w - 782 = 1143. Solve -7*n - w = -2*n for n. -5 Let s be ((-2)/(-3))/(1/36). Suppose 2*x = -x + s. Let k = -7999 + 8003. Solve -k*r - x - 8 = 0 for r. -4 Let n(k) = k**3 - 5*k**2 - 7*k + 9. Let r be (6/18)/(-1)*-18. Let s be n(r). Solve 11 = -s*b + 2 for b. -3 Suppose 2*i = -2*t, 151*t = 150*t + i. Solve 3*z - 8*z - 20 = t for z. -4 Suppose -139*k - 286*k = -425. Solve 96 = 19*b + k for b. 5 Let w be 26 + (2/(-3))/(0 - 8/(-12)). Solve 0 = -2*n - 13 + w for n. 6 Let i(k) = 5*k - 2. Suppose -f - 4 = -n, -n + 2*f = -3*f - 16. Let r be i(n). Solve r*b + 3 + 0 = 0 for b. -1 Let h = 559 - 530. Suppose 0 = -4*m + 3*m + h. Solve -12*t + 5 - m = 0 for t. -2 Let x = -5750 + 5806. Solve 7*m - 35*m + x = 0 for m. 2 Suppose -34*l + 103 = 545. Let y be -3*(240/(-9))/4. Let o = y + l. Solve o*h - 20 = 3*h for h. 5 Let o = 57 - 54. Suppose -g = -o*g + 96. Let k = g - 44. Solve n = -0*n - k for n. -4 Let j = -12973 + 12979. Solve -8*k = j - 14 for k. 1 Suppose 105*c - 3003 - 12189 = -3852. Solve 0 = 5*w + c - 143 for w. 7 Let s be -1*289/(4/4). Let m = -269 - s. Solve 6*d = 10*d - m for d. 5 Let t be (-9)/(297/(-6)) + 790/11. Let y(u) = -u**3 + 3*u**2 + 6*u + 5. Let d be y(6). Let l = d + t. Solve r - l = -0 for r. 5 Suppose -15*p + 13*p + 22 = 0. Let i(d) = d**3 - 12*d**2 + 12*d - 11. Let x be i(p). Solve -3*r + 6*r - r = x for r. 0 Let k be 6 + 0/(-4 - -2 - -1). Suppose -2*w - 5 = 4*c + 7, c = -2*w + 3. Suppose -w = -5*a - 2*r, 3*r - r = -k. Solve 0 = -a*y + 2 + 4 for y. 3 Suppose 4*h - 10 = 6. Let q be (342/45)/(2 + (-36)/20). Suppose q*v - 52 - 62 = 0. Solve h*f - 13 = v for f. 4 Let m be ((-159)/(-53))/(0 - (-2)/4). Solve m*x = x for x. 0 Let x = 4698 + -4696. Solve 12*n + x = -10 for n. -1 Let j(v) = 34*v**2 + 191*v - 21. Let h be j(-6). Solve -17*g - 11 = h for g. -4 Let y(w) = -w**2 - 342*w + 2151. Let n be y(6). Solve 68*o - n*o + 30 = 0 for o. -6 Let o(x) = -x - 9. Let z(l) = l**2 - 18*l + 47. Let w be z(13). Let n be o(w). Solve n*q - 4*q + 10 = 0 for q. -2 Let d(j) = 4*j**2 + 7*j + 3. Let m(o) = -9*o**2 + 0*o + 10*o**2 - 3*o + 4*o. Let z(g) = d(g) - 6*m(g). Let q be z(-1). Solve 3*s + q*s = 0 for s. 0 Let s be -5 - 132/(-28) - 158/(-14). Let h = 42 - s. Suppose h = d - 3. Solve 4*k - 14 = -d for k. -5 Let f be (120/8 - 13) + -2 + 3. Let z(t) be the first derivative of t**2 - 3*t - 2. Let q be z(2). Solve 0 = -f*x + q + 11 for x. 4 Suppose 3*i = -i + 16, i + 20 = -4*u. Suppose -2918*s + 2926*s + 32 = 0. Let a be (-6)/u + 9 + s. Solve -5*v + a*v + 5 = 0 for v. -5 Suppose 0 = -9*j + 2205 + 1159 - 1024. Solve -50*t + 102*t = j for t. 5 Let g be 11 - (-13 + 3 + 7). Solve -g*y = 16*y + 30 for y. -1 Let f(p) = -5*p - 3*p**2 + 3 - 13*p + 3*p. Let k = -2308 + 2303. Let h be f(k). Solve -h = -3*x + 2*x for x. 3 Suppose 2*s + 1 - 21 = -b, 0 = 5*s + b - 50. Solve 0 = -9*a + 14*a + s for a. -2 Let i = 910 - 787. Suppose 36 = -29*n + i. Solve -n*u + 2*u = u for u. 0 Let k be 5*((-44)/(-55) - (-1)/(-5)). Suppose 0 = -k*z + z - f + 19, -f + 35 = 4*z. Solve -4*p + 0 = -z for p. 2 Let m(j) = 38*j - 191. Let h be m(-10). Let a = h + 577. Solve -8*f + a*f = 10 for f. -5 Suppose 0 = 2*n - 4 - 0. Let d = -41731 + 41747. Solve -d = -n*q - 2*q for q. 4 Let y(c) = -c**3 + 22*c**2 + 2*c - 42. Let j be y(22). Suppose -j*g = p - 7, -5*g + 4*p = -10*g + 19. Solve -g*t = -8*t for t. 0 Let f = 28465 - 27583. Solve -110*s - f = -2 for s. -8 Suppose 2751 - 138 = 203*x - 838. Solve -17*a = x - 68 for a. 3 Suppose -4*i = 4*i - 19*i. Suppose i = 3*j - u - 17, -2*u + 4*u = 2*j - 6. Solve -j*r + 9*r = -6 for r. -3 Let k(s) = s**3 - 27*s**2 + 29*s - 74. Let g be k(26). Suppose 10 = 5*x + 10*q - 14*q, 2*x = -q + g. Solve -x*w + 12 = w for w. 4 Suppose 10 - 320 = x - 2*d, -3*x - 3*d - 948 = 0. Let t be x/(-20) - 213/(-710). Solve -t = -4*q + 4 for q. 5 Suppose -2*d + 27 = -3*s, 5*d + 0*d = -5*s + 130. Suppose 5*c + d - 1 = 0, c = p + 34. Let l = p + 38. Solve -15 = 3*b - l for b. -5 Let s = 4 - -7. Let a be s*((-5 - 1) + 5). Let x be 5 + -1 + -5 - a. Solve -j + x = j for j. 5 Let h = -3 + 8. Suppose 7 + h = f. Suppose 2*t - 14 = -2*j, 0 = 4*j - f - 4. Solve l - t = -1 for l. 2 Let w = 608 + -584. Solve -8*m + w = -2*m for m. 4 Let p(i) = 7*i**2 - 13*i + 62. Let d be p(6). Let q = d - 233. Suppose 3*f - 2*t - 20 - 15 = 0, -f - 2*t + 9 = 0. Solve 0 = -2*w - f + q for w. -4 Let b(o) = 3*o**2 - 4*o - 3. Let f = 34 + -35. Let s be b(f). Suppose 11*z - s*z - 21 = 0. Solve -2*x = z*x for x. 0 Suppose -772*j + 736*j + 684 = 0. Let a(t) = t**2 + 4*t + 2. Let z be a(-4). Solve -z*n - j + 11 = 0 for n. -4 Suppose 30*f + 2197 - 3217 = 0. Solve 104 = f*i + 36 for i. 2 Suppose 5*c = 8*c + 135. Let m = c - -82. Let o = 38 - m. Solve -3*p = 2 + o for p. -1 Suppose 7*q = 14*q - 14. Suppose -q*p - d - 3 = -3*p, -4*p = 5*d - 48. Solve 6*s = p*s + 3 for s. -3 Suppose 78 = 2*y - y - 5*a, 5*y + a = 286. Suppose -3*o = -o - y. Let t = o + -29. Solve t = -q + 5*q - 8 for q. 2 Let u = -16394 + 16408. Solve u*m = -5*m for m. 0 Suppose -9*q + 8*q = -5*m - 217, 5*q - 182 = 4*m. Let d = -41 - m. Suppose -5*w = -d*i + 12, 5*w - 2 = -i + 4. Solve -c - i = c for c. -3 Let v(r) = -2*r**2 - 182*r - 3426. Let j be v(-29). Solve 27*t + 19 + j = 0 for t. -7 Suppose -8 = -4*a - 4*s, -6 = -2*s - 0. Let l = a + 10. Suppose -l*w + 10*w = 0. Solve w*r = 3*r + 6 for r. -2 Let c(u) = -55*u + 158. Let d be c(9). Let k = -335 - d. Solve k*z = 4*z - 6 for z. 3 Let o be (485/(-970))/(2/(-836)). Solve -12*k - 149 = -o for k. 5 Suppose 4*c - 7*c + 42 = 0. Suppose 3 = 15*b - c*b. Suppose b*h - 6 = -2*p, 2*p + 2*h - 6*h = 6. Solve u = -p + 8 for u. 5 Let n = 26045 - 25935. Solve 104*u - 48 = n*u for u. -8 Let d = -2 - -5. Let q(t) = 5*t + 10*t**2 - 9 - 2*t**2 - 11 - t**d. Let z be q(8). Solve 0 = -u - 3*u - z for u. -5 Let x(t) = 36*t. Let p(u) = u**3 + 3*u**2 + 7*u + 44. Let f be p(-4). Let v be x(f). Solve 0 = -z - v + 1 for z. 1 Let x = -24 - 165. Let a = -183 - x. Solve 0 = -3*y + 6 + a for y. 4 Let k(x) = -x**2 + 35*x - 64. Let z be k(33). Let i(d) = -d**2 + 15*d - 24. Let r be i(z). Let y be (-3 - -1)*(-1)/1. Solve -y*g + r = 10 for g. -4 Suppose 0*y = 3*y - 3, -z - 6*y + 78 = 0. Solve z*w = 76*w + 8 for w. -2 Suppose 0 = -37*l + 28*l + 45. Suppose 6 = -5*d + l*c + 81, -3*d = 2*c - 35. Solve -d*z - 6 = -10*z for z. -2 Let t = 265 - 385. Let q = t - -121. Solve -4*l + q - 5 = 0 for l. -1 Let f be 2/(-4)*500/(-10). Suppose 3*u + 5*z + 51 = 0, -81 = u + 2*u - 5*z. Let s = f + u. Solve -4*j - s = 5 for j. -2 Suppose 3*d - 2*d = 3*b + 22, -5*b = 10. Solve -p = -d*p + 60 for p. 4 Suppose 3*u - 5*m + 630 = 0, 0 = -5*m + 4*m - 3. Let h = u + 226. Solve -13*w + h*w = -10 for w. 5 Let h be (-4)/20*-74 + (-1)/(-5). Suppose -71*m + h = -66*m. Solve -14 = -m*v + 1 for v. 5 Let o be 10/3 - 6/(-9). Suppose -3*b = 17 - 44. Let a be (b/(-2))/((-26)/52). Solve 0 = l + a - o for l. -5 Let a(w) = -10*w - 8. Let r be a(-6). Let d = 57 - r. Suppose d*o + h - 33 = 0, 2*h + 6 = 2*o - 0. Solve o - 21 = 5*q for q. -3 Let f = -47 + 47. Let p = 22 + f. Let x = 27 - p. Solve -9 - 1 = x*w for w. -2 Suppose -4*y = -v - y + 334, -v - 3*y = -310. Let i = v - 318. Solve 8*m + 8 = i*m for m. -2 Let j(m) = m**3 + 3*m**2 - 2*m + 4. Let x be j(-3). Suppose 8*l = 13*l - x. Suppose 0 = 5*p - 5*o - 10, -p + 4*o = 6*o - 14. Solve -p*d = -l*d for d. 0 Suppose -69*t + 157*t - 74*t - 2716 = 0. Solve 198*h - t*h = 0 for h. 0 Suppose 0 = -5195*z + 5077*z +
{ "pile_set_name": "DM Mathematics" }
) Simplify (-2*(-2 + sqrt(448) + 5 + 1))**2. 256*sqrt(7) + 1856 Simplify -1*(sqrt(18) + 1 + -1 + sqrt(1296)/sqrt(2)). -21*sqrt(2) Simplify (-5*(sqrt(49) + sqrt(4900) - sqrt(49) - sqrt(49)))/((sqrt(245)/sqrt(7))/sqrt(5)). -45*sqrt(7) Simplify 0 + (1 + sqrt(1100))**2*5 + (5 + -2*sqrt(1100) + (sqrt(1100) - (1 + 2*sqrt(1100))))**2. -140*sqrt(11) + 15421 Simplify (1*(sqrt(600) - 1*sqrt(600))*-2)/(4*(sqrt(132)*2)/sqrt(11)). 0 Simplify -3 + (sqrt(684) + -2 + -5 - (3 + sqrt(684) + sqrt(684) + 2))**2. 144*sqrt(19) + 825 Simplify ((2 + sqrt(1700) + 2 - 3*-4*sqrt(1700))*3)**2. 9360*sqrt(17) + 2585844 Simplify ((sqrt(8)*2*-1 - sqrt(8)/sqrt(64)*1) + -4)**2. 34*sqrt(2) + 417/8 Simplify ((3*-1*sqrt(228) - sqrt(228) - sqrt(228)) + sqrt(228) - ((sqrt(228) - 6*(sqrt(228) + sqrt(228)*-2)) + sqrt(228)))/(1*sqrt(12)*3*6). -2*sqrt(19)/3 Simplify (sqrt(18) - 2*sqrt(108)/sqrt(6))/(sqrt(294)*2). -sqrt(3)/14 Simplify ((-2*sqrt(152) + sqrt(152))*-6 + sqrt(152) - sqrt(152)*-1*3)/(sqrt(96)/(sqrt(48)*5)). 100*sqrt(19) Simplify 3*((1 + sqrt(500))*4 - sqrt(500) - sqrt(500) - (sqrt(500) + (sqrt(500)*-1)**2 + 1))*-2. -60*sqrt(5) + 2982 Simplify (2*(sqrt(2299)*-1 + sqrt(2299)) - (sqrt(2299) + 0 + sqrt(2299) + sqrt(2299))*-6 - (-4*2*sqrt(2299) - (2*sqrt(2299) + -5)))**2 + -3. -3080*sqrt(19) + 1802438 Simplify ((1 + sqrt(1088) + -5 - 3*-4*sqrt(1088))*1)**2. -832*sqrt(17) + 183888 Simplify ((sqrt(2) - (-3 + sqrt(2)*3)) + sqrt(2) + 5)**2 - (-3*sqrt(2)*1 + sqrt(2) + (1 + sqrt(2))**2*3). -20*sqrt(2) + 57 Simplify -4 + -5 + ((-2 + sqrt(68))**2 + -3 - sqrt(68)) + 4 + 3. -10*sqrt(17) + 67 Simplify (-3*(1*sqrt(3993) - sqrt(3993)))/((sqrt(192) - (-3*sqrt(192)*-1 - sqrt(192)) - sqrt(192)) + sqrt(192)). 0 Simplify (-5*((sqrt(96) + 1*sqrt(96) + sqrt(96) - sqrt(96)) + sqrt(96)) + sqrt(96) + (sqrt(96) - -1*sqrt(96))*-1)/(4*(6*1*sqrt(12) - sqrt(12))). -8*sqrt(2)/5 Simplify -2*(sqrt(1900) + sqrt(1900) + 1 + 5 + 5*(sqrt(1900)*-3 - sqrt(1900)))**2. -1231272 + 4320*sqrt(19) Simplify ((sqrt(1764) - (sqrt(1764)*3 + sqrt(1764)))*-2)/(sqrt(21)/sqrt(3)*-5 + sqrt(63)*1). -18*sqrt(7) Simplify (-1*(2 + (3*(-1*sqrt(187) - sqrt(187)))/(sqrt(396) + 2*sqrt(396) + sqrt(396))))**2. -sqrt(17) + 81/16 Simplify 0 + -1*(0 + -3 + sqrt(3)) + -1. -sqrt(3) + 2 Simplify -3 + 1*(-4 + (sqrt(1216) - 6*(sqrt(1216) + 1)))**2 + -5. 800*sqrt(19) + 30492 Simplify (-3*sqrt(18)*1 + sqrt(450) + (sqrt(450)*-1 + sqrt(450) - sqrt(450)))/(sqrt(18)/sqrt(3)*-2 + sqrt(18)/(sqrt(15)/sqrt(5))). 3*sqrt(3) Simplify (2 + (sqrt(99) + -2 - 3*sqrt(704)) + -5)**2. 210*sqrt(11) + 4876 Simplify ((sqrt(272) + -3)*4)**2 - (sqrt(187)/sqrt(44) + sqrt(136)/(sqrt(8) - sqrt(8)*-1))**2. -384*sqrt(17) + 4479 Simplify 0 + (1 + 1 + (sqrt(891)*1 - (sqrt(176) - sqrt(176)*-1)) + 0)**2. 4*sqrt(11) + 15 Simplify (-4 + 2 + sqrt(684) - 1*(sqrt(171) - (sqrt(171) + sqrt(171) + (3 + sqrt(171) - sqrt(171)))))**2. 18*sqrt(19) + 1540 Simplify 2*(sqrt(34)/(sqrt(8)/sqrt(4)))**2 - sqrt(187)/(sqrt(11) - (sqrt(11) + sqrt(22)/sqrt(2))*-1). -sqrt(17)/3 + 34 Simplify (2*sqrt(96)/sqrt(4) + (sqrt(24) - (-2*sqrt(240))/sqrt(10)))/((sqrt(96) - -2*sqrt(96))/sqrt(8) + ((sqrt(144)*1)/sqrt(12) - sqrt(12))). 5*sqrt(2)/3 Simplify (-4 + (sqrt(1331)*6 + -1 - (sqrt(1331) + 0 + -5 - sqrt(1331))))**2. 47916 Simplify ((sqrt(432) + -2 + sqrt(432) + -5)**2 - sqrt(432) - (sqrt(432) + 0 + 1)) + -4. -360*sqrt(3) + 1772 Simplify ((5*-2*sqrt(196) - sqrt(196)) + sqrt(196) - sqrt(196))/((sqrt(16) + sqrt(144)*2)/sqrt(8)). -11*sqrt(2) Simplify -1*sqrt(52) + 2 - -6*(sqrt(52) - sqrt(4212)). -98*sqrt(13) + 2 Simplify 6*(-2 + sqrt(180)) - sqrt(180) - (sqrt(180) + -5 + -4 - sqrt(180))**2. -93 + 30*sqrt(5) Simplify ((sqrt(931) + 5 + sqrt(931) + 1)*-4)**2 - -6*(sqrt(1539) + 1*sqrt(1539) - (-3*(sqrt(19) + 0 + sqrt(19)))**2). 2796*sqrt(19) + 56056 Simplify (4*-4*(5 + sqrt(272)*3 + 1 + sqrt(272) + -2))**2. 32768*sqrt(17) + 1118208 Simplify (sqrt(3200) + -1*sqrt(3200))**2*-4 - ((sqrt(10)/sqrt(5)*6)**2 - -6*(sqrt(6)/sqrt(3))**2). -84 Simplify -3*(sqrt(28)/sqrt(4)*-4 + (sqrt(56) + sqrt(56) + sqrt(56)*-2)/sqrt(8) - ((sqrt(7) - 2*sqrt(7)*-2) + (sqrt(21)*1)/sqrt(3))). 30*sqrt(7) Simplify 3 + 1 + ((sqrt(396) + 0 + sqrt(396))**2 - sqrt(11)) + (sqrt(704) - (0 + sqrt(704) + -5))**2. -sqrt(11) + 1613 Simplify -2*(0 + sqrt(175) + -2 + -2). -10*sqrt(7) + 8 Simplify -1 + -4*((sqrt(22) + (sqrt(22) - 1*sqrt(66)/sqrt(3)))/(sqrt(2) + 2*sqrt(98) - sqrt(2)))**2. -60/49 Simplify (4*sqrt(162)*-2 - (sqrt(162) + 1)*5)*5. -585*sqrt(2) - 25 Simplify -2*((-4 + sqrt(180) + 2*-2*sqrt(180))*-5)**2. -81800 - 7200*sqrt(5) Simplify -2 + ((3 + (-2*(sqrt(17) + 1) - sqrt(17)))**2 - -6*(sqrt(425) + -1)**2). -66*sqrt(17) + 2708 Simplify (1*(sqrt(85) + (sqrt(85) - (sqrt(85) + (sqrt(85) - sqrt(85)*-1))))*-3)/(sqrt(40)/((sqrt(72)*1)/sqrt(9))). 3*sqrt(17) Simplify (0 + -3*(-1 + sqrt(567)) + (sqrt(567) + 0)*-2)*-1. -3 + 45*sqrt(7) Simplify (4*1*sqrt(70))/((-1*sqrt(90))/sqrt(9)). -4*sqrt(7) Simplify (-1 + (-2 + sqrt(612)*-1 - 4*sqrt(612)*2))**2. 324*sqrt(17) + 49581 Simplify (sqrt(833) - (sqrt(833)*2*-4 + sqrt(833)))**2 + 2 + 2 + (sqrt(833) - ((sqrt(833) - (sqrt(833) - (-2*sqrt(833) + sqrt(833)))) + sqrt(833))**2*2). 7*sqrt(17) + 53316 Simplify 2 + (sqrt(44))**2 - (sqrt(176) + -1) - 3*(sqrt(275) - (sqrt(275) + -5)). -4*sqrt(11) + 32 Simplify (sqrt(1088)*-2)**2 + 1 - (((sqrt(51)/sqrt(3))**2 + sqrt(17))*-4 + ((sqrt(136)*2 + sqrt(136))/sqrt(8))**2). 4*sqrt(17) + 4268 Simplify -5*(-4*((sqrt(343) - (1 + sqrt(343)))*2 + (2*sqrt(343)*1 - sqrt(343))))**2. -27760 + 2240*sqrt(7) Simplify (((sqrt(847) + 3)*-6 - 1*(sqrt(847)*-4 - sqrt(847)))*-6)**2. 14256*sqrt(7) + 42156 Simplify (sqrt(68) + 1)**2 + 3 - (sqrt(68) + (sqrt(68) - -5*(sqrt(68)*-6 - sqrt(68)) - sqrt(68)))**2. -78536 + 4*sqrt(17) Simplify (-1*(sqrt(1078) - sqrt(22)) - sqrt(22))/((sqrt(12)/sqrt(2))/sqrt(3))*-1. 7*sqrt(11) Simplify sqrt(325)*-1 - sqrt(468)*2 - (-3 + -6*(sqrt(52)*4)**2). -17*sqrt(13) + 4995 Simplify (-4*1*sqrt(68) + sqrt(68) + 1*sqrt(68)*-2)/(-5*-1*((sqrt(4) - sqrt(8)/sqrt(2)) + sqrt(4))). -sqrt(17) Simplify -5*4*(sqrt(300) + 1)**2 + -3*(1*sqrt(300) + sqrt(300))*-1. -6020 - 340*sqrt(3) Simplify (-6*(sqrt(28) + sqrt(252)*2))/((sqrt(240)/(-5*sqrt(5)) + sqrt(48))/sqrt(12)). -105*sqrt(7)/2 Simplify (2 + (-5 + (sqrt(147) - ((sqrt(147) - (sqrt(147) + sqrt(147)*-1)*-6) + sqrt(147))))*-4)**2. 1232*sqrt(3) + 2836 Simplify ((2 + -2*(sqrt(704) - (3 + -1 + sqrt(704))))*-5)**2. 900 Simplify (-3*sqrt(72)/sqrt(4))/((sqrt(108) - (sqrt(108) + sqrt(108)*3 + sqrt(108)))/sqrt(12))*-5. -15*sqrt(2)/4 Simplify -2 + (-1 + 1 + 2 + sqrt(612) + 4)**2*-2. -1298 - 144*sqrt(17) Simplify (2*(sqrt(209) + (sqrt(209)*1 - sqrt(209))) - sqrt(209))/(2*sqrt(176)) - -6*(-5 + -3 + sqrt(171)). -48 + 145*sqrt(19)/8 Simplify 1 + (-4*sqrt(11) - sqrt(11)) + 5 + -1*sqrt(11) + -2 + 0. -6*sqrt(11) + 4 Simplify (6*(sqrt(4)/sqrt(2) + 2) + -1 + 1)**2. 144*sqrt(2) + 216 Simplify (5*(2*sqrt(1215))/(-3*sqrt(3)*-2))**2. 1125 Simplify (-4*(sqrt(99) + 2*sqrt(99) - sqrt(99)))/sqrt(9) - (1 + sqrt(11) + 0 - ((sqrt(77)*2)/sqrt(7))**2). -9*sqrt(11) + 43 Simplify (3*-5*(sqrt(12) + 0))**2 + -3 + -4. 2693 Simplify ((-1*sqrt(2052) - sqrt(2052)) + (-2*sqrt(57) + sqrt(57))*-1)/((sqrt(1728) - sqrt(3))*5). -11*sqrt(19)/115 Simplify 1*(5*(-2*sqrt(133) + sqrt(133)))/(sqrt(63)*3)*-1. 5*sqrt(19)/9 Simplify sqrt(95)/(sqrt(20)/sqrt(4)) + 5 - ((sqrt(171) - ((sqrt(171)*1 - sqrt(171))*5 + sqrt(171))) + sqrt(171))/sqrt(9). 5 Simplify 0 + (sqrt(7) + -2 + 3 - -1*(sqrt(7) + 5)). 2*sqrt(7) + 6 Simplify (1 + 4*5*-2*sqrt(325) + 3)**2. -1600*sqrt(13) + 520016 Simplify (sqrt(405) + 5 + sqrt(405)*5 - (sqrt(405) - (sqrt(405) + -3 + 1)))**2. 324*sqrt(5) + 14589 Simplify ((1 + sqrt(468) + (2 + sqrt(468))*-6)*2 + 4)**2. 2160*sqrt(13) + 47124 Simplify -2 + (0 + 3*(-2*sqrt(5))**2 - -5*(sqrt(500) + -3)). 43 + 50*sqrt(5) Simplify (-3*-2*sqrt(44)*4)/(2*sqrt(144)*5). 2*sqrt(11)/5 Simplify (((sqrt(165) + 5*sqrt(165))/sqrt(5))/(sqrt(432) - (sqrt(432) - 4*sqrt(432) - sqrt(432))))**2. 11/100 Simplify (-2*4*(3 + (sqrt(2448) + -3 - sqrt(2448))))**2 + -3. -3 Simplify ((sqrt(153) + 2 + sqrt(153))*-1 - sqrt(153))**2 - (sqrt(68) - (3 + (sqrt(68) + 1 + sqrt(68) - sqrt(68))))**2. 36*sqrt(17) + 1365 Simplify 4*(1 + sqrt(171)) + 0 + 2. 6 + 12*sqrt(19) Simplify ((4*sqrt(52)*-2 + sqrt(52) + sqrt(832) + sqr
{ "pile_set_name": "DM Mathematics" }
ppose 21 = u + 1. Suppose 5*v - 37 = -3*t, -6*t + 2*t - 36 = -4*v. What is the greatest common divisor of v and u? 4 Suppose 74 + 13 = 5*s + 4*n, -4*s + 82 = -3*n. Calculate the greatest common divisor of 95 and s. 19 Let r(f) = f**2 + f + 3. Let u be r(-7). What is the highest common factor of 15 and u? 15 Let s(k) = 6*k - 15. Let m be s(3). Calculate the greatest common divisor of m and 3. 3 Let k be 50 - -1 - 0/7. Suppose -3*z + 9 = -k. Calculate the highest common factor of z and 80. 20 Let r(s) = s**3 - 5*s**2 + 7*s - 5. Let c be r(4). Let l = -3 + 5. Suppose -l*u + 115 = 3. What is the greatest common factor of u and c? 7 Let y(f) = -f**2 + 5*f. Let a be y(5). Suppose a*g = 3*g - 36. Suppose -3*w - 120 = -8*w. Calculate the greatest common factor of w and g. 12 Let k(z) = -z + 1. Let w be k(-4). Suppose 2*a - 2 = 0, 48 - 15 = w*f + 3*a. Let c be f*-4*6/(-4). What is the greatest common factor of 6 and c? 6 Suppose r + 2*b - 291 = 0, 5*b + 327 = r + 15. What is the highest common factor of r and 27? 27 Let g(z) = -7*z. Let l be g(-1). Let m = l - -10. What is the greatest common factor of m and 170? 17 Let u = 425 + 15. What is the highest common factor of u and 40? 40 Let j(y) = -y + 1. Let s be j(-4). Suppose 0 = s*g - 4*l - 49, -23 = -3*g - 4*l. What is the highest common divisor of 72 and g? 9 Let y(f) = f**2 + 6*f + 13. Let v be y(-6). Calculate the highest common divisor of v and 117. 13 Let q be (387 - 14/7) + (1 - -1). What is the greatest common factor of 43 and q? 43 Let c = 132 - -57. Calculate the highest common factor of c and 21. 21 Let j be (-4)/(-2) - (-9 + 6). Suppose -146 = -j*d - 2*q, -5*d - 3*q + 152 = -4*q. What is the highest common divisor of 10 and d? 10 Let c be 4 + 3*4/6. Suppose 3*i = -c + 30. Suppose -5*a + i = 3*l, 3*a - 5*a = 5*l - 26. Calculate the greatest common factor of 3 and l. 3 Let k(f) = -6*f - 11. Let c be k(-4). Let i be ((-4)/(-6))/(6/(-9)). Let y be 1/(i/(-2)) - -102. Calculate the greatest common factor of y and c. 13 Let d = 19 - -5. Let s(l) = 22*l + 66. Let c be s(9). What is the greatest common divisor of c and d? 24 Let n(f) = 36*f**2. Let o be n(1). Calculate the highest common factor of 12 and o. 12 Suppose 3*z + 1 = 7. Calculate the highest common divisor of z and 16. 2 Let r be 4190/105 - 4/(-42). What is the highest common factor of r and 8? 8 Let n = -90 - -118. What is the highest common factor of 7 and n? 7 Suppose -3*h = -2*q + 47, -2*q = q - 3*h - 63. Calculate the highest common divisor of q and 16. 16 Let d(t) = -t**3 + 15*t**2 - 3*t + 22. Let n be d(14). What is the greatest common divisor of 16 and n? 16 Let f = 2 - -78. Suppose 29 - 11 = n - 4*h, -3*h + 24 = 3*n. What is the greatest common divisor of f and n? 10 Let r(h) = -h**3 - 4*h**2 + 3. Let w be r(-3). Let g be w*(168/(-9))/4. What is the greatest common divisor of g and 70? 14 Suppose 0 = -2*u - 6. Let r be 53/3 - 1/u. Calculate the highest common factor of 12 and r. 6 Let s(f) = 4*f**2 + f + 2. Let n be s(2). Suppose -36 = -5*c - 4*b, 0 = -2*c - 5*b + 2*b + 20. Calculate the greatest common factor of n and c. 4 Let a = -13 + 15. Suppose -5*k - 3*q + 120 = a*q, 0 = -q + 4. Calculate the highest common divisor of k and 40. 20 Suppose m = 3*m - 28. Calculate the highest common divisor of m and 70. 14 Let o = 172 + -115. Let b = o + -41. What is the greatest common divisor of 16 and b? 16 Suppose 12 = 3*p, -4*p - 13 = -k - 5*p. Suppose 1 = -5*c - k. Let z(t) = -t**3 + t**2 + t. Let n be z(c). Calculate the highest common divisor of 70 and n. 10 Let j(n) = 5*n - 7. Let g be j(3). Suppose 0*v = 4*v - g, -4*b + 2*v + 152 = 0. Calculate the greatest common factor of b and 13. 13 Let q(r) = r**2 + 2*r - 7. Let l be q(-5). Suppose 3*u = -5*d - 86, u = 2*u + 2. Let j be d/(-56) - (-444)/14. What is the greatest common factor of j and l? 8 Let o be 12/(-20) + 138/5. Let j = -8 + o. What is the highest common divisor of j and 95? 19 Suppose 3*p - 11 = -3*m + 4*m, -p + 17 = -3*m. Suppose b = -p*g + 43, -4*g + 0*b + b = -71. Calculate the greatest common divisor of g and 209. 19 Let n be (-2)/(-5) - (-4)/(-10). Suppose -2*r + 7*r - 80 = n. What is the greatest common factor of r and 4? 4 Suppose 4*p - 5*p + 12 = 0. Suppose 2*d - p = 3*d. Let n = d + 18. Calculate the greatest common factor of 12 and n. 6 Suppose 2*x - 217 = 6*x - s, -5*x - 271 = -s. Let r be (-8)/(-28) - x/7. Suppose -56 = -r*t + 4*t. What is the greatest common divisor of 154 and t? 14 Let q be (-12)/(-16) + 196/16. Calculate the highest common factor of 13 and q. 13 Let o be 4/24*4*15. Suppose 4*f - 350 = 2*u, 0 = f - 2*u + u - 85. What is the highest common factor of f and o? 10 Let h be (-7 + 2)/(5/(-215)). Let g = -127 + h. Calculate the highest common divisor of 11 and g. 11 Suppose 5*j = -2*s + 17, -j + 2*s - 12 = -5*j. Suppose 0 = j*g - n - 32, -23 = -5*n - 8. What is the highest common divisor of 7 and g? 7 Suppose 2*u + 30 = 10. Let d = u + 6. Let y = 16 - d. What is the highest common divisor of 30 and y? 10 Let a(h) = 3*h + 1. Let x be a(-1). Let v be 0 - x - 25 - 1. Let b = 36 + v. What is the greatest common factor of b and 3? 3 Let p(v) = -153*v**3 + v**2 + v. Let q be p(-1). What is the greatest common factor of q and 17? 17 Suppose -5*k + 14 = -3*z - 0*z, 5*z = -2*k - 13. What is the greatest common divisor of k and 8? 1 Let f(q) be the second derivative of q**4/12 + 2*q. Let x be f(-2). Suppose 2*g - x = g. What is the greatest common factor of 4 and g? 4 Let l = 277 + -134. Let q = -1 + 6. Suppose 12 = -q*v + 77. What is the highest common divisor of v and l? 13 Let g(r) = -r**3 - 10*r**2 - 10*r - 1. Let t be g(-9). What is the highest common divisor of t and 20? 4 Let g(a) be the second derivative of -3*a + 0 + 5/2*a**2 - 11/3*a**3. Let y be g(-10). What is the greatest common divisor of y and 25? 25 Suppose 0 = 5*l + 2*r - r - 235, -2*r = l - 38. Let i = 22 + l. Calculate the highest common divisor of 28 and i. 14 Suppose -20 = -10*x + 5*x. Suppose -z = -x - 0. What is the highest common divisor of z and 28? 4 Let o(s) be the third derivative of -s**4/24 - s**3/6 - 3*s**2. Let t be o(-9). Let x = 17 + -1. Calculate the greatest common divisor of t and x. 8 Let n(i) = -4*i. Let z be n(-1). Let x(k) = -z*k + 5 + 0*k - 4*k**2 + 0*k**2 + k**3 - 3. Let f be x(5). What is the greatest common divisor of 28 and f? 7 Let r(y) = 2*y**2 - 5*y. Let h be r(8). Calculate the highest common divisor of 132 and h. 44 Let v be (-3)/(-12) - 1/4. Let r be (v + -10)/((-8)/12). Suppose 0 = -6*p + 2*p + 600. What is the highest common divisor of p and r? 15 Let o(u) = 3*u**2 + 6*u + 6. Let d be o(-2). What is the highest common factor of 3 and d? 3 Let a(h) = h**2 + 11*h - 1. Let w be a(10). What is the greatest common factor of w and 19? 19 Let c be -2*(-3)/6*2. Let g be (5 + (0 - 0))/1. Suppose -3*d - 45 = -g*x, -4*d + 28 - 10 = c*x. What is the greatest common factor of 72 and x? 9 Let h be 282/5 - 4/10. Suppose 4*k - 2 - 6 = 0. Let x be -1 - -1 - (-9 + k). Calculate the highest common divisor of h and x. 7 Suppose -b + 4*b = 12, 3*b + 43 = 5*k. Let p(m) = -m**2 - 17*m + 5. Let f be p(-9). What is the greatest common factor of k and f? 11 Let i(g) = -7*g - 28. Let k be i(-13). Calculate the greatest common divisor of k and 7. 7 Let h(w) = 14*w**2 + 13*w + 17. Let v(j) = 5*j**2 + 4*j + 6. Let o(y) = 6*h(y) - 17*v(y). Let u be o(7). Calculate the highest common factor of 147 and u. 21 Let s = 1 - 1. Suppose 2*a - 5*p = 21, s = a + 2*a - 5*p - 39. Suppose -2*k = 4*y - 86, -5*y - 6 + 1 = 0. Calculate the highest common factor of a and k. 9 Let m(g) = 4*g - 26. Let t be m(13). What is the highest common divisor of t and 117? 13 Suppose -5*k + 623 + 257 = 0. Calculate the highest common factor of 22 and k. 22 Suppose 3*h = 5*l + 315, h - l = -0*l + 105. Let i = h + 0. Suppose 5*k = -g + i, -k - 5*g = 5 - 50. Calculate the greatest common factor of k and 2. 2 Let r(d) = d**3 - 20*d**2 - 15*d - 42. Let h be r(21). Calculate the greatest common factor of h and 56. 28 Suppose -5*x + 72 + 33 = 0. Suppose 0*f + x = a - 2*f, 3*a + 3*f = 45. What is the highest common divisor of a and 51? 17 Suppose -2*m + 8*m - 462 = 0. Calculate the highest common factor of 11 and m. 11
{ "pile_set_name": "DM Mathematics" }
**2 + 4*j - 35. Let x(m) = -m**2 - 2*m. Let t(h) = -v(h) + 4*x(h). Determine z so that t(z) = 0. 5, 7 Let f(i) = -4*i**3 + 6*i**2 + 134*i + 258. Let v(k) = 20*k**3 - 31*k**2 - 671*k - 1293. Let r(g) = -11*f(g) - 2*v(g). Suppose r(n) = 0. What is n? -3, 7 Let n(d) = 6*d**2. Let q be 6/(-18)*-3 - (-2)/1. Let w(h) = -11*h**2 + 1. Let m(a) = q*w(a) + 5*n(a). Factor m(i). -3*(i - 1)*(i + 1) Let y(j) be the second derivative of -j**6/15 + 2*j**5/5 + 7*j**4/6 - 34*j**3/3 + 24*j**2 - 64*j + 2. Let y(n) = 0. Calculate n. -3, 1, 2, 4 Suppose t + 0 = 6. Suppose 6 + t = 3*y. Factor 6*o**3 - 6*o**3 - 3*o**2 + 2*o**3 + o**y. o**2*(o - 1)*(o + 3) Let t(a) be the third derivative of -1/5*a**5 + 1/120*a**6 + 2*a**4 - a**2 + 0*a + 4/3*a**3 + 0. Let q(k) be the first derivative of t(k). Factor q(f). 3*(f - 4)**2 Let h(f) = f + 12. Let b be h(-10). Suppose 4*w + 8 = 0, -2*z - 2*w = -4 + b. Factor 3*i - 2*i**z + 4*i**3 + 6*i**2 + i. 2*i*(i + 1)*(i + 2) Let p(d) be the second derivative of -d**5/40 - d**4/12 - 30*d. Factor p(x). -x**2*(x + 2)/2 Let h(p) = -p**2 + 7*p + 1. Let f be h(13). Let d = f - -157/2. Factor 3/4*t**3 - 9/4*t + d + 0*t**2. 3*(t - 1)**2*(t + 2)/4 Let z(t) be the first derivative of t**6/2 - 9*t**5/5 + 3*t**4/2 + 122. Suppose z(k) = 0. Calculate k. 0, 1, 2 Factor 3/7*l**2 + 0 - 2/7*l + 2/7*l**3. l*(l + 2)*(2*l - 1)/7 Let j(s) be the third derivative of 0 + 0*s + 1/15*s**5 + 12*s**2 + 0*s**3 - 1/35*s**7 + 1/12*s**6 + 0*s**4. Solve j(v) = 0. -1/3, 0, 2 Find u, given that 8/5 - 4/5*u**3 - 2/5*u**4 + 16/5*u + 6/5*u**2 = 0. -2, -1, 2 Let s(j) be the first derivative of j**4/32 - 41*j**3/24 + 55*j**2/2 - 50*j - 71. What is v in s(v) = 0? 1, 20 Let p(d) be the second derivative of -5*d**8/1344 - d**7/84 - d**6/96 - 9*d**2/2 + 11*d. Let n(r) be the first derivative of p(r). Factor n(k). -5*k**3*(k + 1)**2/4 Let j = -19 + 21. Let y be (j - -3) + 3 + -4. Determine s so that -82/7*s**2 + 50/7*s**5 - 48/7*s + 90/7*s**y - 8/7 - 2/7*s**3 = 0. -1, -2/5, 1 Suppose 201 = 4*z + 57. Factor -235*w**4 - 15*w + 230*w**4 - 5*w**3 + z*w**2 - 11*w**2. -5*w*(w - 1)**2*(w + 3) Suppose -5*n = -10*n + 30. Find y such that 59*y**2 - 38*y**2 + 8*y**3 - n*y + 4*y**3 = 0. -2, 0, 1/4 Let q(n) be the third derivative of 5*n**8/336 - 3*n**7/14 + 9*n**6/8 - 9*n**5/4 + 37*n**2. Factor q(u). 5*u**2*(u - 3)**3 Let w(h) be the second derivative of -h**8/2240 - h**7/840 + h**6/15 - h**5/2 - 5*h**4/6 + h**2 + h - 19. Let z(j) be the third derivative of w(j). Factor z(q). -3*(q - 2)**2*(q + 5) Let w(u) = 3*u**2. Let m(z) = 10*z**2 - 4*z. Let v(k) = m(k) - 3*w(k). Factor v(d). d*(d - 4) Let z be ((-3)/(-1))/((-59)/(-14) + -4). Suppose -z*x + 14 = -14. Factor 2/7*b**x + 0*b + 2/7*b**3 + 0. 2*b**2*(b + 1)/7 Let m(n) = -12*n**2 - 8*n - 2. Let r(j) = 1. Let b(i) = m(i) + 2*r(i). Factor b(a). -4*a*(3*a + 2) Suppose 3*f**3 - 48*f**2 + 7480*f - 7480*f = 0. Calculate f. 0, 16 Let x = 111 + -67. Let 48*w + x*w**2 + 16 + 6*w**3 + 2*w**3 + 4*w**3 = 0. Calculate w. -2, -1, -2/3 Let w be (-15)/(-10)*16/(-6). Let a = -1 - w. What is p in 13*p**3 + p**a + 37*p - 18*p**2 - 33*p = 0? 0, 2/7, 1 Let l(a) be the first derivative of a**6/2 - 3*a**5/5 - 3*a**4 + 4*a**3 + 185. Find o such that l(o) = 0. -2, 0, 1, 2 Suppose -3*w - 1 = -h + 2*w, 5*w - 20 = 0. Let g be (-1 + -2)*(-14)/h. Determine v so that -10*v + 5 + 0*v**2 + 3*v**2 + g*v**2 + 0*v**2 = 0. 1 Let y(v) be the second derivative of 0*v**3 + 1/7*v**4 + 1/35*v**5 + 0*v**2 + 0 + 11*v. Determine k so that y(k) = 0. -3, 0 Suppose -146 + 160 = 5*z - f, -f + 1 = 0. Find a, given that 12/13*a**2 - 8/13*a + 2/13*a**4 - 16/13 + 10/13*a**z = 0. -2, 1 Suppose 0*y + 2*y - j = 10, 0 = 2*y - 4*j - 16. Suppose 4*h**3 + 0*h**4 - 5*h**y - 3*h**4 + 4*h**5 = 0. Calculate h. 0, 1 Let t(r) = 8*r - 52. Let b be t(7). Let 35*o**b + 3*o**2 - 40*o**4 + 2*o**2 + 0*o**2 = 0. What is o? -1, 0, 1 Suppose 4*z = -5*z + 162. Determine m, given that -10 + 32 - z - 12*m + 3*m**2 - 19 = 0. -1, 5 Let j(c) be the third derivative of -c**5/180 + 89*c**4/36 - 7921*c**3/18 + 330*c**2. Factor j(h). -(h - 89)**2/3 Let q(w) = w**3 - 2*w**2 + 6*w + 4. Let u be q(0). Find l such that -6*l**5 + 16*l**2 + 2*l**3 - 8 - 4*l - 18*l**4 + 10*l**u + 2*l**5 + 6*l**3 = 0. -2, -1, 1 Let x = -474 - -1436/3. What is m in 0 + x*m**2 + 2/3*m**4 - 10/3*m**3 - 2*m = 0? 0, 1, 3 Factor 58*l**2 - 33*l**4 + 5*l**2 + 8*l**3 + 4*l**3 + 30*l**4. -3*l**2*(l - 7)*(l + 3) Suppose 19 = 5*b - 16. Let d = b + -47/7. Let 0 + 0*l - d*l**2 = 0. Calculate l. 0 Let w(p) = -p**2 + 18*p - 6. Let i be w(18). Let g be i/(-12)*(4 + 0). Factor -6/5*a**g - 2/5*a**3 + 2/5*a + 2/5*a**4 + 4/5. 2*(a - 2)*(a - 1)*(a + 1)**2/5 Factor 8/5*o**4 - 4/5*o**5 - 16/5*o**2 + 0 + 12/5*o**3 - 16/5*o. -4*o*(o - 2)**2*(o + 1)**2/5 Let y = 1557 - 1554. Let u(x) be the second derivative of -6*x + 1/4*x**2 + 0 + 1/8*x**y + 1/48*x**4. Factor u(p). (p + 1)*(p + 2)/4 Let w be 2/11 + 500/275. What is m in 2/13*m**w - 4/13*m + 0 + 6/13*m**3 = 0? -1, 0, 2/3 Let z be (-2)/3*6/(-14). Let a = -275 - -275. Let -z*u + a + 2/7*u**2 = 0. Calculate u. 0, 1 Let k be (-2)/2*1*0. Suppose k = -3*w + 12 + 3. Let -4*f - 5*f**2 + 3*f**2 + w*f**2 - 2 - 5*f**2 = 0. Calculate f. -1 Let p(r) be the second derivative of -5*r**7/14 + 25*r**6/6 + 13*r**5 - 25*r**4/3 - 78*r. Solve p(t) = 0. -2, 0, 1/3, 10 Let z(y) be the first derivative of -3*y - 9*y**3 - 9/2*y**2 - 15/4*y**4 - 6. Let k(u) = u**3 + u**2 + u. Let n(p) = 18*k(p) + z(p). Factor n(c). 3*(c - 1)**3 Let d(g) be the first derivative of -g**3/6 + g**2/4 + g - 177. Factor d(j). -(j - 2)*(j + 1)/2 Suppose 3*s = -3*c + 8*c + 9, 0 = -5*s - 2*c + 15. Factor -340*w**4 + 349*w**4 - 7*w**2 - s*w**5 - 5*w**2. -3*w**2*(w - 2)**2*(w + 1) Suppose 1132*b**3 - 81*b + 99*b**2 + b**4 + 1121*b**3 - 2272*b**3 = 0. Calculate b. 0, 1, 9 Find v such that 370 - 15*v**3 + 24*v**3 - 11*v**3 - 792*v - 76*v**2 - 999 - 667 = 0. -18, -2 Let s(u) = -u**2 + 13*u - 42. Let o be s(9). Let y be (18/(-81))/(2/o). Factor -1/2*f - y + 1/6*f**2. (f - 4)*(f + 1)/6 Let j(m) be the third derivative of -m**5/20 + 61*m**4/8 - 30*m**3 - 45*m**2 + m. Factor j(n). -3*(n - 60)*(n - 1) Suppose 1 - 3/2*a + 1/2*a**2 = 0. What is a? 1, 2 Let k = 103 - 195. Let b be 4/(-14) + k/(-28). Determine w so that b + 2*w + 5*w + 0*w - w + 3*w**2 = 0. -1 Let q = -187 - -187. Let p(b) be the second derivative of 1/10*b**5 + 0*b**2 - 1/6*b**4 + 1/15*b**6 + 2*b + q - 1/3*b**3. Let p(k) = 0. Calculate k. -1, 0, 1 Let s(i) be the second derivative of -1/120*i**6 - 1/6*i**3 + 20*i + 1/2*i**2 + 1/20*i**5 - 1/16*i**4 + 0. Factor s(r). -(r - 2)**2*(r - 1)*(r + 1)/4 Let m(t) be the first derivative of -t**6/12 - 21*t**5/10 - 194. Factor m(i). -i**4*(i + 21)/2 Suppose 346*f + v = 345*f - 1, 0 = 5*f - v - 25. Solve -34/11*x**3 + 0*x - 12/11*x**2 + 0 + 32/11*x**f + 14/11*x**5 = 0 for x. -3, -2/7, 0, 1 Let x = 26 + -27. Let j be (-1440)/264 - 6/x. Find q such that j*q + 0 + 2/11*q**2 = 0. -3, 0 Let o be 21 - (-5 + (-1 - -3)). Suppose -z = a - 0*a - 6, -3*a + o = 5*z. Factor -228*l**4 + 6*l - 1 + 162*l**z + 1 + 120*l**5 - 51*l**2. 3*l*(2*l - 1)**3*(5*l - 2) Let m = -63604/195 + 4242/13. Factor 2/5*t**2 - m*t**4 + 0 + 0*t + 4/15*t**3. -2*t**2*(t - 3)*(t + 1)/15 Let t(x) = 5*x - 2 + 0*x - x**2 - 3*x**2 + 3*x**2. Let l be t(3). Factor 6*h**5 - 10*h**4 - 2*h**3 + h**3 + l*h**3 + h**3. 2*h**3*(h - 1)*(3*h - 2) Let b(h) be the second derivative of h**5/50 + 23*h**4/30 - h**3/15 - 23*h**2/5 + 310*h. Solve b(j) = 0. -23, -1, 1 Factor -12/7*l**2 - 3*l + 30/7 + 3/7*l**3. 3*(l - 5)*(l - 1)*(l + 2)/7 Let t = 239/100 + -41/25. Let -t*m**2 - 3/2*m + 0 + 3/4*m**3 = 0. Calculate m. -1, 0, 2 Let g(c) = 4 - 3 + 1 - 3 + c. Let d(a) = 2*a**2 + 4*a - 6. Let t = -43 + 45. Let l(w) = t*g(w) - d(w). Factor l(y). -2*(y - 1)*(y + 2) Let -3*j**4 - 1443*j**5 - 6*j**2 - 18*j**3 + 723*j**5 + 723*j**5 + 15*j + 6 + 3 = 0. Calculate j. -1, 1, 3 Let g be (-16)/184 - 2814/(-6440). Let n(i) be the first derivative of -g*i**4 + 4/5*i + 3 - 3/5*i**3 + 6/5*i**2. Find d such that n(d) = 0. -2, -2/7, 1 Let n(o) be the third derivative of 1/72*o**4 + 0*o + 0 - 1/30*o**6 - 1/40*o**5 - 32*o**2 - 13/1260*o**7 + 0*o**3. Factor n(h). -h*(h + 1)**2*(13*h - 2)/6 Let r(b) be the third derivative of b**6/24 - b**5/12 + 75*b**2. Suppose r(y) = 0.
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
is the common denominator of 9/175 and 29/105? 525 What is the lowest common multiple of 44 and 512? 5632 Calculate the common denominator of -109/176 and -16/7. 1232 Calculate the smallest common multiple of 75 and 250. 750 What is the lowest common multiple of 16 and 363? 5808 Find the common denominator of 30/2257 and 127/222. 13542 What is the smallest common multiple of 20 and 8? 40 Calculate the common denominator of -11/52 and 37/104. 104 Calculate the smallest common multiple of 12 and 7156. 21468 What is the common denominator of 43/29 and -19/290? 290 What is the common denominator of -101/784 and -63/304? 14896 Calculate the common denominator of -95/1594 and 59/14. 11158 Calculate the common denominator of 1/608 and -7/16. 608 What is the smallest common multiple of 360 and 2? 360 What is the lowest common multiple of 3220 and 322? 3220 Calculate the least common multiple of 7 and 476. 476 What is the smallest common multiple of 18 and 28? 252 Find the common denominator of 50/21 and -4/687. 4809 What is the smallest common multiple of 66 and 339? 7458 What is the common denominator of -27/128 and 91/640? 640 Calculate the common denominator of -34/3 and 163/1218. 1218 Find the common denominator of 97/8 and -1/1620. 3240 Calculate the least common multiple of 297 and 11. 297 What is the least common multiple of 6160 and 1120? 12320 Calculate the least common multiple of 16 and 1184. 1184 What is the least common multiple of 26 and 6? 78 Find the common denominator of -85/18 and -80/117. 234 Calculate the lowest common multiple of 147 and 35. 735 Find the common denominator of -39/638 and -12/11. 638 Find the common denominator of -139/3714 and 137/6. 3714 What is the least common multiple of 34 and 10? 170 Find the common denominator of 89/6 and 31/6248. 18744 What is the least common multiple of 2451 and 24? 19608 What is the least common multiple of 333 and 37? 333 Calculate the common denominator of 16/93 and 31. 93 Calculate the common denominator of -23/6 and 139/870. 870 Calculate the lowest common multiple of 36 and 9772. 87948 Calculate the common denominator of -137/18 and -29/12. 36 Calculate the least common multiple of 234 and 182. 1638 Calculate the common denominator of 38/15 and 187/30. 30 Calculate the common denominator of 65/1036 and -7/740. 5180 What is the common denominator of -29/4 and 85/734? 1468 Calculate the common denominator of 51/50 and 28/15. 150 What is the smallest common multiple of 208 and 156? 624 What is the least common multiple of 354 and 8? 1416 Calculate the common denominator of 59/1250 and 37/18. 11250 Calculate the common denominator of -143/30 and -101/10. 30 What is the least common multiple of 42 and 176? 3696 What is the smallest common multiple of 768 and 704? 8448 What is the lowest common multiple of 96 and 48? 96 Calculate the smallest common multiple of 3 and 145. 435 Calculate the common denominator of 53/2288 and 133/220. 11440 Calculate the least common multiple of 200 and 560. 2800 What is the least common multiple of 258 and 18? 774 Calculate the least common multiple of 76 and 836. 836 What is the common denominator of 25/12 and 179/60? 60 What is the lowest common multiple of 144 and 1044? 4176 What is the lowest common multiple of 88 and 352? 352 Calculate the common denominator of 127/228 and 16/817. 9804 What is the least common multiple of 567 and 441? 3969 Find the common denominator of -23/297 and 7/99. 297 Calculate the common denominator of 47/100 and 29/30. 300 What is the lowest common multiple of 30 and 93? 930 What is the smallest common multiple of 1250 and 2500? 2500 Calculate the least common multiple of 9 and 337. 3033 What is the common denominator of 45/119 and -22/5? 595 What is the common denominator of -13/619 and -61/2476? 2476 What is the least common multiple of 76 and 400? 7600 Calculate the common denominator of -93/50 and -111/320. 1600 Find the common denominator of -107/132 and -43/20. 660 Find the common denominator of 49/9 and -17/26. 234 Calculate the common denominator of 14/85 and -36/187. 935 Calculate the lowest common multiple of 85 and 4845. 4845 What is the common denominator of -52/9 and 64/3? 9 What is the least common multiple of 14 and 15820? 15820 Find the common denominator of 155/6072 and 73/54. 54648 What is the smallest common multiple of 48 and 48? 48 Calculate the smallest common multiple of 80 and 20. 80 Calculate the lowest common multiple of 3 and 54. 54 Calculate the common denominator of -9/740 and 109/6. 2220 Calculate the smallest common multiple of 1311 and 115. 6555 Calculate the least common multiple of 32 and 48. 96 Find the common denominator of 77/104 and -109/104. 104 Calculate the smallest common multiple of 4 and 476. 476 Find the common denominator of -5/93 and 28/465. 465 What is the common denominator of -77/6 and -17/10? 30 What is the lowest common multiple of 102 and 153? 306 Find the common denominator of -87/14 and 13/496. 3472 Find the common denominator of 13/240 and 117/820. 9840 Calculate the common denominator of -131/18 and -125/2352. 7056 Calculate the least common multiple of 21 and 9. 63 Find the common denominator of -29/672 and -113/40. 3360 What is the common denominator of -111/50 and -26/85? 850 Calculate the least common multiple of 46 and 7. 322 Find the common denominator of 58/33 and 103/450. 4950 Calculate the least common multiple of 189 and 168. 1512 Calculate the common denominator of -23/117 and -47/13. 117 Calculate the least common multiple of 6860 and 10780. 75460 Calculate the common denominator of 53/48 and -11/6. 48 What is the common denominator of -149/6 and 51/7? 42 What is the common denominator of -61/476 and 109/14? 476 Calculate the lowest common multiple of 56 and 140. 280 Calculate the common denominator of -107/14 and 25/68. 476 What is the lowest common multiple of 4320 and 1512? 30240 Calculate the lowest common multiple of 14 and 28. 28 What is the smallest common multiple of 559 and 215? 2795 What is the lowest common multiple of 4 and 388? 388 What is the common denominator of -77/1196 and -61/26? 1196 Find the common denominator of -23/76 and 59/12. 228 Calculate the lowest common multiple of 316 and 4. 316 What is the lowest common multiple of 11 and 12740? 140140 What is the lowest common multiple of 18 and 16584? 49752 Calculate the common denominator of -13/110 and -26/33. 330 Calculate the common denominator of -9/10 and -37/545. 1090 Find the common denominator of 91/204 and -19/204. 204 What is the common denominator of 29/9 and 83/16? 144 What is the common denominator of 13/1920 and -131/336? 13440 What is the common denominator of 70/177 and -23/413? 1239 Calculate the smallest common multiple of 273 and 28. 1092 What is the least common multiple of 102 and 7? 714 Find the common denominator of 93/32 and 69/32. 32 What is the lowest common multiple of 5684 and 8? 11368 Calculate the lowest common multiple of 9 and 299. 2691 What is the common denominator of 57/10 and 127/6? 30 What is the lowest common multiple of 126 and 84? 252 What is the lowest common multiple of 9 and 401? 3609 Find the common denominator of -5/329 and -88/2961. 2961 Calculate the common denominator of -21/8 and 26/719. 5752 Find the common denominator of 93/430 and 39/10. 430 What is the smallest common multiple of 28 and 16? 112 Calculate the lowest common multiple of 469 and 469. 469 What is the lowest common multiple of 778 and 778? 778 What is the least common multiple of 7992 and 5328? 15984 Calculate the smallest common multiple of 408 and 18. 1224 What is the lowest common multiple of 22 and 132? 132 Calculate the least common multiple of 5385 and 11847. 59235 Find the common denominator of -83/208 and 105/104. 208 What is the smallest common multiple of 10 and 2206? 11030 Calculate the least common multiple of 465 and 255. 7905 Calculate the common denominator of -91/76 and 22/53. 4028 Calculate the smallest common multiple of 294 and 294. 294 What is the lowest common multiple of 60 and 20? 60 Find the common denominator of 91/92 and -67/483. 1932 Calculate the lowest common multiple of 27 and 90. 270 What is the least common multiple of 15 and 27? 135 What is
{ "pile_set_name": "DM Mathematics" }
est common divisor of 100200 and 1320? 120 What is the greatest common divisor of 2503 and 16752579? 2503 What is the highest common factor of 60163 and 34? 17 Calculate the highest common divisor of 28 and 2466583. 7 Calculate the highest common divisor of 3232947 and 159. 159 What is the highest common divisor of 150 and 9876? 6 What is the greatest common factor of 4844 and 9436? 28 Calculate the highest common factor of 507825 and 9. 9 What is the highest common divisor of 111011 and 248? 31 What is the greatest common factor of 403578 and 1827? 63 Calculate the highest common divisor of 343524 and 156. 12 Calculate the greatest common divisor of 1453790 and 26. 26 Calculate the greatest common factor of 73450 and 8970. 130 What is the greatest common factor of 1014 and 29328? 78 Calculate the greatest common divisor of 2348 and 200754. 1174 What is the greatest common factor of 319364 and 4? 4 What is the greatest common factor of 2409 and 12702? 219 Calculate the greatest common divisor of 29688 and 72. 24 What is the greatest common divisor of 139081 and 23? 23 Calculate the greatest common factor of 44 and 226886. 22 Calculate the highest common divisor of 5008 and 64478. 626 What is the greatest common divisor of 339795 and 5265? 405 What is the greatest common factor of 21867 and 121767? 111 Calculate the highest common divisor of 14444 and 111156. 628 Calculate the greatest common factor of 3794 and 322. 14 Calculate the greatest common divisor of 33807 and 8022. 573 Calculate the highest common factor of 435648 and 108. 12 What is the highest common factor of 34599 and 9? 3 Calculate the greatest common divisor of 2616 and 204. 12 What is the highest common divisor of 14340 and 4680? 60 What is the greatest common divisor of 356545 and 21710? 835 Calculate the highest common factor of 4485 and 30030. 195 Calculate the greatest common factor of 24 and 3064. 8 Calculate the highest common factor of 46762 and 103. 103 What is the highest common divisor of 7 and 374773? 7 What is the greatest common factor of 852 and 36? 12 Calculate the greatest common factor of 239046 and 54. 6 Calculate the greatest common factor of 928593 and 45. 9 What is the greatest common divisor of 1641387 and 165? 33 What is the highest common factor of 184760 and 465? 155 What is the highest common factor of 133 and 96292? 133 What is the highest common divisor of 19629 and 27? 27 Calculate the greatest common factor of 1547 and 461363. 119 What is the greatest common divisor of 174 and 1192944? 174 Calculate the highest common divisor of 208 and 39663. 13 Calculate the greatest common factor of 556914 and 404. 202 What is the greatest common factor of 1578529 and 606? 101 What is the greatest common factor of 1932 and 163548? 84 What is the highest common divisor of 23478 and 1365? 273 Calculate the greatest common divisor of 168058 and 484. 22 What is the greatest common divisor of 4 and 37665? 1 What is the highest common factor of 114 and 165666? 6 What is the greatest common factor of 85481 and 19? 19 What is the highest common factor of 339366 and 5379? 489 Calculate the greatest common divisor of 4836 and 2808. 156 Calculate the highest common divisor of 2646 and 1566. 54 Calculate the greatest common divisor of 76 and 2588. 4 Calculate the highest common factor of 3416 and 10584. 56 Calculate the highest common divisor of 217957 and 34. 17 Calculate the highest common divisor of 26741 and 429. 143 Calculate the highest common factor of 1130038 and 98. 98 What is the greatest common factor of 533 and 70397? 41 Calculate the greatest common divisor of 31126 and 3546. 394 What is the greatest common divisor of 184 and 2070? 46 Calculate the highest common divisor of 95400 and 10. 10 What is the greatest common factor of 756 and 9492? 84 Calculate the highest common factor of 88 and 303616. 8 Calculate the highest common divisor of 75727 and 164. 41 Calculate the highest common factor of 36 and 27636. 12 What is the highest common factor of 7272 and 238158? 1818 What is the highest common factor of 1720412 and 228? 76 What is the greatest common divisor of 343 and 48461? 49 Calculate the greatest common factor of 384 and 40776. 24 Calculate the greatest common divisor of 1742 and 494. 26 What is the greatest common divisor of 6556 and 24354? 22 What is the highest common divisor of 168 and 154168? 56 Calculate the greatest common factor of 636786 and 342. 18 What is the greatest common factor of 2460 and 27019? 41 What is the highest common factor of 55735 and 2485? 355 What is the greatest common divisor of 4 and 54388? 4 Calculate the highest common factor of 49876 and 296. 148 What is the highest common factor of 40956 and 180? 12 What is the highest common factor of 13626 and 864? 18 What is the greatest common factor of 2524106 and 130? 26 What is the highest common divisor of 1327843 and 77? 11 What is the highest common factor of 195 and 3919695? 195 Calculate the greatest common factor of 1068 and 2304. 12 Calculate the greatest common factor of 31079 and 12. 1 What is the highest common factor of 75 and 39? 3 Calculate the greatest common factor of 16 and 1217512. 8 What is the greatest common factor of 981 and 1254? 3 What is the highest common factor of 20322 and 1098? 18 What is the greatest common divisor of 8 and 184936? 8 What is the greatest common factor of 301 and 992569? 43 Calculate the highest common divisor of 4500 and 612. 36 Calculate the highest common divisor of 2443 and 560. 7 Calculate the greatest common divisor of 51489 and 81. 27 What is the highest common divisor of 90 and 8710? 10 Calculate the greatest common divisor of 40963 and 147823. 1781 Calculate the highest common factor of 293013 and 315. 63 Calculate the highest common divisor of 1617 and 45969. 231 What is the greatest common divisor of 74 and 18537? 37 What is the greatest common factor of 27066 and 78? 78 Calculate the greatest common divisor of 862173 and 117. 117 Calculate the greatest common divisor of 63 and 217. 7 What is the greatest common factor of 19870 and 1580? 10 Calculate the highest common factor of 64500 and 2625. 375 Calculate the highest common divisor of 884 and 91052. 884 What is the highest common divisor of 90 and 59463? 9 Calculate the highest common divisor of 7724 and 8. 4 What is the greatest common divisor of 1692 and 1644? 12 What is the greatest common factor of 4548 and 486? 6 What is the highest common factor of 61 and 655384? 61 What is the highest common divisor of 18 and 37827? 9 Calculate the highest common divisor of 65 and 149825. 65 Calculate the highest common factor of 1142008 and 112. 56 Calculate the highest common factor of 165341 and 33. 11 Calculate the greatest common factor of 163774 and 52. 26 Calculate the greatest common factor of 1189 and 14945730. 1189 What is the highest common factor of 2372 and 134611? 593 What is the greatest common divisor of 30652 and 2813? 97 What is the highest common divisor of 50327 and 126244? 853 Calculate the greatest common factor of 98 and 2177. 7 Calculate the greatest common factor of 58105 and 40. 5 What is the highest common divisor of 46850 and 4? 2 Calculate the greatest common divisor of 133 and 10003. 7 Calculate the greatest common divisor of 267 and 5963. 89 Calculate the greatest common factor of 500 and 13560. 20 Calculate the greatest common factor of 252 and 219422. 14 What is the highest common factor of 40 and 288935? 5 What is the highest common factor of 578 and 6494? 34 Calculate the highest common factor of 719518 and 916. 458 What is the highest common factor of 57861 and 27? 27 Calculate the highest common divisor of 35 and 436030. 35 What is the greatest common divisor of 210 and 54250? 70 Calculate the highest common divisor of 3813 and 1612. 31 What is the highest common divisor of 109858 and 4130? 826 What is the greatest common divisor of 63639 and 27? 27 What is the highest common factor of 9196 and 89452? 836 Calculate the highest common divisor of 180 and 74920. 20 Calculate the greatest common factor of 20 and 23092. 4 What is the greatest common divisor of 60 and 379380? 60 Calculate the highest common divisor of 37113 and 2363. 139 Calculat
{ "pile_set_name": "DM Mathematics" }
ct the terms in -2564 - 18*y + 916 + 906 + y + 742 - 23*y. -40*y Collect the terms in -428*o**2 + 3*o**3 + 78*o**2 - 369*o**2 + 719*o**2. 3*o**3 Collect the terms in -347*q**3 - q - 374*q**3 + 1 + 258*q**3. -463*q**3 - q + 1 Collect the terms in 40*m + 1560*m**2 - 1002*m**2 + 251*m. 558*m**2 + 291*m Collect the terms in 146*v - 62*v - 36*v - 33*v - 35*v + 52*v - 40*v. -8*v Collect the terms in 22515*k + 22520*k - 112580*k + 22516*k + 22510*k + 22520*k. k Collect the terms in 177*x**2 + 246133 + 312*x**2 - 246133. 489*x**2 Collect the terms in 1002*o**2 - 1 + 27*o - 11*o + 4 - 18*o. 1002*o**2 - 2*o + 3 Collect the terms in -59106420499 - t**2 + 59106420499. -t**2 Collect the terms in -10*u + 35015 - 35015 + 3*u**2. 3*u**2 - 10*u Collect the terms in 174*m - 826*m - 988*m - 3110*m. -4750*m Collect the terms in -2*f**2 + 7358174*f**3 + 2*f**2 - 7341282*f**3. 16892*f**3 Collect the terms in -103580*a - 42312*a - 26 - 152480*a + 27 + 23727*a. -274645*a + 1 Collect the terms in 503*g**2 - 365*g**2 + 4410*g**2 - 365*g**2 + 1760*g**2. 5943*g**2 Collect the terms in 63*p + 32535 + 32322 - 64857. 63*p Collect the terms in 33831*g**2 + 177002*g**2 + 55719*g**2 - 22397*g**2. 244155*g**2 Collect the terms in -790*r**2 - 91 + 91 - 723*r**2 + 1564*r**2. 51*r**2 Collect the terms in -33*b**3 - 470600421*b**2 + 470600421*b**2 + 4*b. -33*b**3 + 4*b Collect the terms in -185*k - 193*k - 185*k - 124*k + 876*k - 194*k. -5*k Collect the terms in -25*l - 5*l + 433 - 255 - 177. -30*l + 1 Collect the terms in -89281877*c + 44641251*c + 44640882*c. 256*c Collect the terms in -97*v**2 - 66*v**2 - 2*v - 2*v + v + 3*v. -163*v**2 Collect the terms in 335 - 497*d**2 - 1334 + 325 + 340 + 334. -497*d**2 Collect the terms in -44883 + 32876 - 330485 + 3*o**3. 3*o**3 - 342492 Collect the terms in -163*c**3 - 39087018*c**2 - 3 + 39087018*c**2. -163*c**3 - 3 Collect the terms in 1023958*n**3 + 1023970*n**3 - 2047573*n**3. 355*n**3 Collect the terms in 26 - 32 - 84 + 27 + 27 + 39*g + 30. 39*g - 6 Collect the terms in -24*z**3 - 255*z - 24*z**3 - 17*z**3 + 116*z + 87*z**3 + 139*z. 22*z**3 Collect the terms in -3901*v - 11397*v + 2*v**3 - 1751*v. 2*v**3 - 17049*v Collect the terms in -1 + 0 - 164328*n**2 + 1 - 178572*n**2. -342900*n**2 Collect the terms in 34 - 9735*w + 32 + 34. -9735*w + 100 Collect the terms in 16*b - 998*b**3 + 507*b**3 - 16*b + 472*b**3. -19*b**3 Collect the terms in -663*s**2 - 6*s + 6054*s**2 + 4*s + 44*s**2. 5435*s**2 - 2*s Collect the terms in 177*v**2 + 163*v**2 - 593*v**2 + 153*v**2 + 181*v**2 + 113*v**2. 194*v**2 Collect the terms in 3*x + 8947 - 4606 - 4382. 3*x - 41 Collect the terms in -7*v**3 + 3*v**2 - 4678881*v + 4678881*v. -7*v**3 + 3*v**2 Collect the terms in -675*a**2 + 166*a**2 + 198*a**2 + 165*a**2 + 164*a**2. 18*a**2 Collect the terms in -6*n**2 - 28*n**2 - 234*n**2 + 369*n**2 - 37*n**2. 64*n**2 Collect the terms in 24*c - 9*c - 15*c + 234410*c**2 - 234597*c**2. -187*c**2 Collect the terms in -1981939*s + 3963821*s - 1981882*s + 200*s**2. 200*s**2 Collect the terms in -5653*c + 1881*c - 12*c**2 + 1890*c - 17*c**2 + 1882*c + 27*c**2. -2*c**2 Collect the terms in 4*g**2 - 4*g**2 - 5 + 34 - 56522*g**3. -56522*g**3 + 29 Collect the terms in -162425359*z**2 + 2 - 109*z**3 + 162425359*z**2. -109*z**3 + 2 Collect the terms in -68*d + 145*d + 1838*d**2 + 1831*d**2 - 3708*d**2 - 77*d. -39*d**2 Collect the terms in -26061868 + 411*i**3 + 26061868. 411*i**3 Collect the terms in 9 + 605*u**2 - 312*u**2 - 301*u**2 + 434401*u - 434401*u - 9. -8*u**2 Collect the terms in -31*o**2 - 3*o**2 - 4 - 11*o + 273*o + 5. -34*o**2 + 262*o + 1 Collect the terms in -34160*i - 234233*i + 15254*i - 294640*i. -547779*i Collect the terms in 390*j - 7 - 22431*j + 7 + 3179*j - 16470*j. -35332*j Collect the terms in 403*x + 7 - 2*x**2 - 5 - 10 - 6. -2*x**2 + 403*x - 14 Collect the terms in 547*q**2 - 265*q + 2*q**3 + 58*q + 548*q**2 - 79*q - 1095*q**2. 2*q**3 - 286*q Collect the terms in -161 + 964*g - 13224 - 476*g - 486*g - 56. 2*g - 13441 Collect the terms in -4091*p + 11*p**3 + 5*p**3 - 522*p. 16*p**3 - 4613*p Collect the terms in -41398987*p - 41398987*p + p**2 - 4*p**2 - 41398979*p + 124196953*p. -3*p**2 Collect the terms in -28 - 20 + 2*d - 262*d**3 - d - 13 + 36*d**2. -262*d**3 + 36*d**2 + d - 61 Collect the terms in -6*a**2 + 13*a**2 - 43*a**2 + 15*a + 3 - 15*a - 28*a**2. -64*a**2 + 3 Collect the terms in 33*c + 37*c + 242 - 112*c - 137*c. -179*c + 242 Collect the terms in 8*u - 2*u + 13*u + 261 + 11*u + 37*u. 67*u + 261 Collect the terms in 12 - 15 + 3 + s + 3931*s**3. 3931*s**3 + s Collect the terms in 0 + 600*c - 2 + 4 - 5 - 295*c - 299*c. 6*c - 3 Collect the terms in 1076 - 293 + 357 + 2*q**3 + 28*q - 28*q. 2*q**3 + 1140 Collect the terms in 42*x - 57*x + 1991300 - 1991300. -15*x Collect the terms in 457 - 267*g - 238*g + 491*g. -14*g + 457 Collect the terms in 4*u**2 + 51*u - 6*u**2 + 19*u - 2 - 27*u. -2*u**2 + 43*u - 2 Collect the terms in -18 - 1522*s**2 - 6 + 1519*s**2 + 6*s**3. 6*s**3 - 3*s**2 - 24 Collect the terms in -3 - 258*q + 226*q + 42*q. 10*q - 3 Collect the terms in -19*m**2 - 74152*m - 17 + 6 + 10 + 74152*m. -19*m**2 - 1 Collect the terms in -40588737*f - 11*f**3 + 40588737*f + 3. -11*f**3 + 3 Collect the terms in 5*b**2 + 4*b**2 - 366 - 8*b**2 - 5*b - b**2 + 2*b**2. 2*b**2 - 5*b - 366 Collect the terms in -37736*t**2 - 37717*t**2 - 2*t + 2*t + 113144*t**2 - 37733*t**2. -42*t**2 Collect the terms in -50*g**2 - 208 + 103 + 52*g**2 - 160*g**2 + 105. -158*g**2 Collect the terms in 7 + 98769*d**2 + 0 - 7 - 97584*d**2. 1185*d**2 Collect the terms in -17*d**2 + 22*d**2 + 32*d**2 - 26*d**2 - 5*d**2. 6*d**2 Collect the terms in 5*y - 809 - 816 + 3167 - 777 - 821. 5*y - 56 Collect the terms in -23292*s + 6029*s - 5425*s - 5193*s. -27881*s Collect the terms in 56*h**2 + 83*h - 13*h**2 + 11*h**2 - 179*h + 96*h. 54*h**2 Collect the terms in -1586*v**2 + 1155*v**2 + 708*v**2 + 658*v**2. 935*v**2 Collect the terms in 70*z + 70*z + 55*z + 2*z**2 - 154*z. 2*z**2 + 41*z Collect the terms in 214*t**2 + 69*t**2 + 24*t**2 - 309*t**2. -2*t**2 Collect the terms in -26*q - 1956*q**2 + 1052 - 525 - 527. -1956*q**2 - 26*q Collect the terms in 40*j**2 - 146 + 43 - 24 + 49. 40*j**2 - 78 Collect the terms in -30 + 41*i - 42*i + 97 + 37. -i + 104 Collect the terms in -27*c - 23*c - 6*c + 21*c + 119*c - 30*c. 54*c Collect the terms in -1231*t + 351*t - 1230*t - 3594*t. -5704*t Collect the terms in -85824855127*g**2 + 42912427563*g**2 + 42912427564*g**2 - g**3. -g**3 Collect the terms in 706 + 10246*x + 8511*x - 704. 18757*x + 2 Collect the terms in -362731*o**2 - 107263 + 362730*o**2 + 53627 + 53636. -o**2 Collect the terms in -17*n - 3846736 + 7691353 - 3844617. -17*n Collect the terms in 172072*n - 344135*n - 137 + 172064*n. n - 137 Collect the terms in 2462221*a - 7 - 284515*a - 3. 2177706*a - 10 Collect the terms in 46748*m + 47048*m + 18*m**3 + 46743*m - 140539*m. 18*m**3 Collect the terms in 3*f + 982283*f**2 - 3*f - 3074911*f**2. -2092628*f**2 Collect the terms in -12229*j + 1513*j**2 - 1527*j**2 + 12231*j. -14*j**2 + 2*j Collect the terms in 79 - 23 - 230*a**2 - 37 - 19 + 211*a**2. -19*a**2 Collect the terms in -1013*b**3 + 469341*b - 469341*b. -1013*b**3 Collect the terms in 11544*c**2 - 1627*c**2 + 29035*c**2. 38952*c**2 Collect the terms in 624*w + 410*w - 134*w**3 - 62*w**3 + w**3. -195*w**3 + 1034*w Collect the terms in q**3 - 54*q**3 - 4*q**3 - 8*q**3 + 23*q**3. -42*q**3 Collect the terms in 391*b**3 + 419*b**3 + 4 - 4 - 775*b**3. 35*b**3 Collect the terms in 239*x**2 + 655*x**3 - 197*x**3 - 77*x**2 - 232*x**3 - 79*x**2 - 83*x**2 - 224*x**3. 2*x**3 Collect the terms in -2*z**3 + 2*z**2 - 161*z + 0*z**2 + 7*z**3 - 8*z**2 + 2*z**2. 5*z**3 - 4*z**2 - 161*z Collect the terms in -27*c + 72*c - 141*c - 160*c - 722*c - 303*c. -1281*c Collect the terms in 208 + 189*r - 190*r - 105 - 96. -r + 7 Collect the terms in -4*a**2 - 4*a**2 - 11*a**2 + 14*a**2 + 9*a**2. 4*a**2 Collect the terms in -7902047*g**2 + 7902043*g**2 - 6*g + 39*g**3 + 6*g. 39*g**3 - 4*g**2 Collect the terms in -241321*l - 5*l**2 + 80358*l + 80481*l + 80482*l. -5*l**2 Collect the terms in 6*i - 17245721203*i**2 - 3*i - 2*i - i + 17245721204*i**2. i**2 Collect the terms in -1568 + 3065 + 0*b**3 - 1486 + 3
{ "pile_set_name": "DM Mathematics" }
(w) = -21*w**2. Give p(l(m)). -882*m**4 Let y(q) be the third derivative of 241*q**5/60 + q**4/12 - 1594*q**2 + 3*q - 2. Let k(u) = 13*u. Calculate k(y(d)). 3133*d**2 + 26*d Let y(v) = 1391*v. Let x(u) = -220126*u**2. Give x(y(j)). -425917615006*j**2 Let i(s) = 2*s. Let f(h) = -h**3 + 18*h**2 + 19*h - 18. Let z be f(19). Let c be 374/18 - 4/z. Let p(u) = c - 10 - 11 + 55*u. What is p(i(j))? 110*j Let w(n) = 3*n**2. Let o(s) = -1625*s + 18. Let h(r) = 24375*r - 273. Let v(g) = 6*h(g) + 91*o(g). Determine v(w(t)). -4875*t**2 Let b(i) = -278*i. Let x(a) = -20. Let g(o) = 2*o**2 + 15. Let r(u) = 8*g(u) + 6*x(u). Determine b(r(y)). -4448*y**2 Let o(d) = 17668986*d. Let m(g) = g**2. Determine o(m(b)). 17668986*b**2 Let s(k) = -37*k**2 + 16*k + 5. Let z(v) = -22*v**2 + 12*v + 3. Let x(i) = -3*s(i) + 5*z(i). Let h(w) = -2*w - 17. Determine x(h(r)). 4*r**2 + 44*r + 85 Let h(o) = 9799191*o**2. Let u(a) = 31*a**2. Determine h(u(t)). 9417022551*t**4 Suppose 0 = -9*b + 14*b + 15. Let j(w) = -w**3 - 2*w**2 + 4*w + 5. Let n be j(b). Let a(i) = -7*i**n - i + 8*i**2 + i. Let g(c) = 11*c**2. Calculate a(g(q)). 121*q**4 Let m(t) = 50*t**2 - 3. Let c(f) = 585*f**2 - 35. Let g(p) = 3*c(p) - 35*m(p). Let r(w) = 205*w - 1. Determine r(g(b)). 1025*b**2 - 1 Let v(z) be the second derivative of -7*z**4/6 - 7*z**3/6 - 5*z**2 + 638*z - 3. Let q(a) = a. Determine v(q(o)). -14*o**2 - 7*o - 10 Let y(i) = 2*i - 538. Let h(v) = -3*v**2 - 32*v + 2. Let c(t) = -t**2 - 16*t + 1. Let p(m) = -2*c(m) + h(m). What is p(y(k))? -4*k**2 + 2152*k - 289444 Let z(n) = -3*n**2. Let u(l) be the second derivative of -275*l**3/2 + l**2 - 4*l - 270. Calculate z(u(d)). -2041875*d**2 + 9900*d - 12 Let m(s) = -2*s. Let y(p) = 801*p + 5. Let z(j) = 400*j + 3. Let q(f) = 4*y(f) - 7*z(f). Calculate m(q(v)). -808*v + 2 Let t(c) be the first derivative of -1209*c**2/2 - 362. Let u(l) = -l**2. Determine t(u(p)). 1209*p**2 Let s(f) = 2*f + 15258841. Let d(h) = -12*h. Determine d(s(y)). -24*y - 183106092 Let k(h) = 14*h**2. Let p be 0*(0 - 1/3). Let c(q) = 8*q + p*q - 5*q - 8*q. Calculate c(k(z)). -70*z**2 Let d(g) be the third derivative of -g**4/12 - 125*g**2 - 16. Let u(w) = -5 - 8 - 2*w + 6*w. Determine u(d(t)). -8*t - 13 Let b(o) be the first derivative of 5*o**3 + 12882. Let a(s) be the third derivative of s**5/60 + s**2. What is b(a(n))? 15*n**4 Let a(h) = -15*h**2 - 21*h - 53. Let s(o) = 7*o**2 + 9*o + 26. Let i(l) = -3*a(l) - 7*s(l). Let k(d) = 2*d. What is i(k(y))? -16*y**2 - 23 Let n(m) = -m. Let o(r) = -801493561*r**2. Calculate o(n(i)). -801493561*i**2 Let l(m) be the second derivative of 103*m**5/120 + 23*m**3/3 - 19*m + 1. Let a(k) be the second derivative of l(k). Let y(o) = -3*o**2. Determine a(y(r)). -309*r**2 Suppose 5*z - 5*c = 4*z - 24, 8 = -2*z + 2*c. Let x be (z - 2)/(1/(-7) + 0). Let g(a) = -15*a + x*a + 8*a + 2*a**2. Let f(w) = -16*w. What is f(g(s))? -32*s**2 Let t(q) be the first derivative of -q**2 - 3. Let z = -45 + 48. Let g(b) = b + z*b + 4*b - 6*b - 3. Calculate t(g(c)). -4*c + 6 Let v(j) = 2*j - 11292. Let u(s) = -s + 10. Calculate v(u(q)). -2*q - 11272 Let y(o) = -4*o**2 - 2. Let i(n) = -8708*n**2 - 3110. Let j(q) = -i(q) + 1555*y(q). Let z(t) = 2*t. What is z(j(h))? 4976*h**2 Let v = -22 + 32. Suppose 3*w - 24 = 5*g + 2, g = -4*w + 4. Let z(d) = 5222 + v*d**w - 5222. Let n(u) = u**2. Determine n(z(j)). 100*j**4 Let k(b) = -4*b + 101. Let j be k(26). Let w(c) = 27*c - 8. Let p(r) = -10*r + 3. Let t(o) = j*w(o) - 8*p(o). Let s(h) = 243*h**2. What is s(t(m))? 243*m**2 Let z(m) = -m**2. Suppose -5*p = u - 18, 5*u - 8*u - 6 = -5*p. Let d(y) = -p*y - 11*y + 7*y - y. Determine d(z(b)). 8*b**2 Let x(n) = 44*n + 23 - 21 + 14*n. Let u(i) = 56*i + 1. Let w(a) = 3*u(a) - 2*x(a). Let y(s) = -s**2. Calculate y(w(r)). -2704*r**2 + 104*r - 1 Let h(u) = 2*u**2. Let x(s) = 31691*s + 335. Let l(n) = -378*n - 4. Let w(j) = 1005*l(j) + 12*x(j). Calculate h(w(f)). 323208*f**2 Let y(t) = -603703*t + 17. Let s(l) = 2*l. Give y(s(c)). -1207406*c + 17 Let m(v) = -66850*v. Let h(y) = -437*y. Let b(p) = 764*h(p) - 5*m(p). Let w(f) = 0 + 0 - 47*f + 45*f. Give w(b(n)). -764*n Let x(q) = 117*q**2 - 152*q**2 + 44*q**2. Let p(a) = -4*a**2. Calculate p(x(c)). -324*c**4 Let c(b) = -5*b - 3. Let l(k) = -5500027*k. What is c(l(x))? 27500135*x - 3 Let a(c) = 251330*c - 1. Let x(f) = -16*f. What is x(a(r))? -4021280*r + 16 Let h(k) = -2*k. Let y(j) = 621925825*j**2. What is h(y(q))? -1243851650*q**2 Let i(r) = -4*r**2. Let v be (2/(-9) + (-3060)/(-2835))*56/12. Let h(m) be the second derivative of -1/3*m**v + 28*m + 0*m**2 + 0 + 0*m**3. Determine i(h(w)). -64*w**4 Let m(b) = 186*b - 419*b + 197*b. Let c(i) = 4*i + 815 - 815. What is m(c(r))? -144*r Let n(h) = -h + 6320. Let p(d) = -13*d. Calculate p(n(m)). 13*m - 82160 Let m = 17 - 14. Let j(a) = -a + 2 + 1 + 4 - m. Let f(h) = 901465*h - 2*h**2 - 901465*h. Determine f(j(n)). -2*n**2 + 16*n - 32 Let s(w) = 11*w**2 + 20*w**2 - 29*w**2. Let p = 113 + 92. Let c(i) = 205 - 19*i - p. Give s(c(n)). 722*n**2 Let h(n) = -16*n**2 + 2*n. Suppose -5*d = o - 11, -4*d + 3*o = 1 - 6. Let p(m) = 5*m + 18. Let w(z) = z + 4. Let a(r) = d*p(r) - 9*w(r). Calculate a(h(c)). -16*c**2 + 2*c Let v(r) be the first derivative of -4*r**3/3 + 1. Let c(a) = 4 + 73*a**2 - 4 - 256*a**2 + 175*a**2. What is c(v(n))? -128*n**4 Let k(u) = 122*u**2 - 16*u + 32. Let o(a) = -23*a**2 + 3*a - 6. Let f(x) = -3*k(x) - 16*o(x). Let l(p) = -2*p + 401. Determine f(l(m)). 8*m**2 - 3208*m + 321602 Let k(g) be the second derivative of -15*g**3 - 6*g. Let y(q) = 86*q - 24*q - 27*q - 34*q. Give y(k(i)). -90*i Suppose 69 - 13 = 7*c. Let j(f) = 8*f - c*f + 2*f - 3*f. Let t(i) = -3*i**2 + 18. Calculate t(j(p)). -3*p**2 + 18 Let d(n) = 3*n**2 + 513. Let m(c) = 22*c + 7. Let g(v) = -9*v - 3. Let o(f) = 7*g(f) + 3*m(f). Determine d(o(h)). 27*h**2 + 513 Let s(j) = -7*j**2 + 44*j**2 - 10*j**2 - 16*j**2 - 13*j**2. Let a(c) = 13*c + 51 - 51. Give s(a(r)). -338*r**2 Let x(m) be the first derivative of -m**6/72 - 142*m**3/3 - 151. Let i(q) be the third derivative of x(q). Let o(y) = -16*y**2. What is i(o(u))? -1280*u**4 Let o(f) = f. Let j(r) be the first derivative of 12*r**2 - 9*r**2 + r + 198 + 3*r - 4*r. What is o(j(m))? 6*m Let o(q) = 2*q - 94. Let m(y) = 301*y**2 - 10*y + 15. Determine o(m(r)). 602*r**2 - 20*r - 64 Let i(u) = 135 - 135 - 3*u**2. Let d(m) be the third derivative of -m**4/2 - m**3/6 + m**2 - 473*m + 5. Calculate i(d(p)). -432*p**2 - 72*p - 3 Let d(z) be the third derivative of 30*z**2 + z - 1/6*z**4 + 0 + 0*z**3. Let b(n) = 4*n**2. Determine b(d(v)). 64*v**2 Let l(s) = -2*s. Let c(g) be the third derivative of -27*g**5/20 + g**4/8 + 536*g**2. Determine l(c(o)). 162*o**2 - 6*o Let d(p) = -126*p. Let y(h) = -95*h. Let u(v) = 3*d(v) - 4*y(v). Let f be 0*(-2 + 10/4). Let w(x) = -3*x + f*x + 2*x. Determine w(u(b)). -2*b Let x(h) = -h**2. Let k(c) be the third derivative of 5471*c**5/60 - 21*c**2 - 2. Determine x(k(l)). -29931841*l**4 Let v(q) = -26*q. Let d(l) = -31*l - 4*l + 10*l - 40*l - 11*l. What is d(v(u))? 1976*u Let q(i) = -371*i + 527*i - 170*i. Let d(s) be the third derivative of s**4/24 - s**2. Calculate q(d(u)). -14*u Let c(d) be the first derivative of 25*d**2 + 1106. Let m(b) = 40*b**2. Determine c(m(z)). 2000*z**2 Let i(t) = 67*t - 165*t + 41*t + 61*t. Let y(b) = -b**2 - 4*b - 23. What is y(i(u))? -16*u**2 - 16*u - 23 Let u(i) = -60*i - 2. Let a(k) = 47*k**2 + 2*k + 4. Let s(b) = -1060*b**2 - 45*b - 90. Let r(f) = -45*a(f) - 2*s(f). Give u(r(t)). -300*t**2 - 2 Let a(t) = 8*t + 2. Let b(p) = -3*p + 1. Let q be ((-42)/(-126))/(-2 - 35/(-18)). Let c(u) = 15*u - 6. Let z(n) = q*b(n) - c(n). What is z(a(y))? 24*y + 6 Let x(j) = -44 - 44 + j**2 + 88. Let w(t) = 616*t. Calculate w(x(y)). 616*y**2 Let x(p) = p**2. Let i(z) = 4*z + 1006*z**2 - 979*z**2 - 5*z. Calculate i(x(n)). 27*n**4 - n**2 Let v(u) = -5*u - 4. Let z(w) = -15*w - 11. Let c(t) = 11*v(t) - 4*z(t). Let b(x) be the third derivative of 17*x**5/30 + 547*x**2. What is c(b(a))? 170*a**2 Let g(r) = -3*r. Let m(k) = 17*k**2 + 27*k + 1203. Let i(p) = 27*p**2 + 43*p + 1925. Let h(j) = -12*i(j) + 19*m(j). Determine h(g(c)). -9*c**2 + 9*c - 243 Let y(w) = 7*w. Let l(u) = 163*u + 7692. Determine l(y(h)). 1141*h + 7692 Let i(z) = -118*z**2.
{ "pile_set_name": "DM Mathematics" }
z*m + 12 = -m for m. -4 Let d = -144 - -168. Solve 4*p = d - 4 for p. 5 Let z(v) = -v**3 - 4*v**2 + 6*v + 5. Let b be z(-5). Suppose 0*g - 5*a = -2*g, b = a. Let w be 1 - (-4 + (g - -1)). Solve -o = o + w for o. -2 Let m = -8 - -10. Suppose 3 + m = -3*i + 5*h, 2*i + 5*h - 5 = 0. Solve 3*c = -i*c - 3 for c. -1 Let q be (17/(-34))/((-1)/4). Solve q*b - 12 = 5*b for b. -4 Let t be 2/(4/(1 + 7)). Let h = 15 - 9. Let m = h - t. Solve 3*a + 10 = -m*a for a. -2 Let z = 5 - 1. Solve k - 1 = z for k. 5 Suppose 20 = 4*y - 2*x + 3*x, 4*x = -5*y + 14. Let o(a) = 2*a - 9. Let b be o(y). Solve 18 = -5*i + b for i. -3 Let y = -14 - -12. Let s = -2 - y. Solve s = 4*j - 2 - 2 for j. 1 Let c(n) = -3*n**3 + 2*n**2 - n. Let d be c(1). Let f be d + (-2 - -1 - -6). Solve x - f = 1 for x. 4 Let d = 6 - 2. Suppose -3 = d*m + 4*s - s, 0 = 3*m - 2*s - 19. Suppose 2*o = -n, m*n = 4*n - 5*o - 7. Solve 1 = -3*x + n*x for x. -1 Suppose -2*v + 5*l + 14 = 3*l, -5*l - 5 = 0. Solve -v*d = -4*d + 2 for d. -1 Let r be 1/(0 - 1/(-5)). Suppose 4*z + 2 = 3*i, -3*i + 6 = r*z - 5. Solve -i*y - 9 = -5*y for y. 3 Suppose 42 = r + 2*r. Let x(k) = k**3 + 5*k**2 + k - 7. Let h be x(-4). Suppose -36 = -h*g + r. Solve -5*f + g = -5 for f. 3 Suppose 0 = -4*d - 4*o, -4*d + 3*o = -0*o - 28. Solve -d*a - 2 = 2 for a. -1 Let r(k) = -k - 1. Let n be r(5). Suppose -5*a + 12 = -28. Let q = n + a. Solve x = -0*x - q for x. -2 Let r(a) = a**3 - 6*a**2 - a + 7. Let h be r(6). Let x be (h - 3/(-4))*4. Solve -4*l + 19 - x = 0 for l. 3 Let i(b) = -b**2 + b. Let u be i(1). Let s(n) = 3*n**3 - n**2 - n + 2. Suppose 4*y + y = 5. Let g be s(y). Solve u = 2*j + g*j for j. 0 Let x = 9 + -7. Let v be x + (-1 - -5) - 3. Suppose v*l - 7 = 2. Solve 2 = 5*g - l for g. 1 Suppose 0 = 2*p - 6*p + 12. Let a(j) = -4*j + 4*j + 2*j - p*j + 3. Let s be a(-4). Solve -h - s = -2 for h. -5 Suppose -5*b + 6*g = g - 40, 4*b = -3*g + 46. Suppose -4*l - l + b = 0. Suppose 5*r = -0*r + 10. Solve -r*h + 4 = l for h. 1 Let m = 11 + -8. Let i = 12 + m. Solve -6*u + u = i for u. -3 Let a = -3 - -7. Suppose 3*f - 3*w = 0, 0 = -3*f - 3*w + a*w + 4. Suppose -8 = -3*t - f. Solve t = 4*n - 2 for n. 1 Let s(i) = i**3 + i**2 - 4*i. Let d be s(2). Solve -d*u + 2 = -14 for u. 4 Let d(s) = -s + 14. Let i be d(8). Let f = 9 - i. Solve q - 8 = f*q for q. -4 Let h be (3 - 3/2)*2. Suppose 2*p = -h*p + 325. Let g be 1/(-4) + p/4. Solve c - 5*c + g = 0 for c. 4 Suppose -t = 1 - 5. Solve 4*g - t = -0 for g. 1 Suppose 2*y - 20 = -5*i, y - 2 = 4*i - y. Solve i*p + 0 + 2 = 0 for p. -1 Let c be 6*(4 + (2 - 2))/6. Solve 1 = -3*l + c*l for l. 1 Let s(d) = 2*d**3 + 2*d**2 - 2*d + 1. Let x = 10 - 6. Suppose 5*r + 5*t = 25, -r - x*t = -2*r - 15. Let l be s(r). Solve -2 - 10 = l*a for a. -4 Suppose -4*o + 28 = -5*k, 4*o - k - k = 40. Solve 0*r + 4*r = o for r. 3 Suppose d - 4*c - 14 = -d, -5*d - c + 2 = 0. Let g = 9 - 6. Solve g*o - d = 2*o for o. 1 Suppose -z + 2 = -0. Suppose 0 = 3*w + z*w - 35. Let f = -4 + w. Solve -i = -f + 5 for i. -2 Let c(n) = n. Let k be c(-2). Let i = 3 + k. Solve -2*j - i = -3 for j. 1 Suppose 28 = 2*y - 3*g + 2, 2*y + 4*g = 12. Solve 2 = 4*o + y for o. -2 Let s(f) = 0*f - 1 + 0*f + 19*f**3 + 0. Let p be s(1). Solve -p = -3*y - 3 for y. 5 Let z be 1/3 - 8/24. Solve 0 = -5*b - z*b - 20 for b. -4 Let i = 17 - 11. Suppose -o = -i*o - 35. Let q = o - -11. Solve 2*k + 2*k + q = 0 for k. -1 Let z(y) = 2*y**3 - 12*y**2 + 3*y + 2. Let t be z(6). Solve -3*r + t = r for r. 5 Let l be (-1 + 1)*3/3. Suppose s + s = l. Solve -3*d - 1 - 8 = s for d. -3 Let v(z) = z**2 + z - 4. Let i be v(-3). Suppose -2*c - i + 12 = 0. Solve -k + 2 = c for k. -3 Let p be ((-7)/7)/((-2)/28). Let u = 16 - p. Solve 2*m - 12 = -u*m for m. 3 Let d be (7 + -2)*(-8)/(-10). Solve -d*o - o + 20 = 0 for o. 4 Suppose 0 = 2*f + 5*f - 21. Suppose 8 = d + f. Solve 4*y = -y - d for y. -1 Suppose 2*l - 7 = 11. Solve l + 11 = 4*f for f. 5 Let z be (56/16)/(1/(-2)). Let g = 9 + z. Solve -3*x - g - 13 = 0 for x. -5 Suppose -44 + 54 = 2*u. Solve -u*q = -q for q. 0 Let u = 15 + -5. Let l be ((-6)/(-5))/(3/u). Suppose 4*g = 3*y + 80, 6*g - 2*y - 80 = 2*g. Solve -l*x - g = -0*x for x. -5 Let h be -1 - (-2 - (2 - 3)). Suppose 2*n - i - 2 - 4 = h, -5*i = n - 3. Solve x - n*x = 6 for x. -3 Suppose 54 - 18 = -3*g. Let f be (-4)/(-6) + (-4)/g. Suppose 2*t = -f + 7. Solve 0 = x + t*x + 8 for x. -2 Suppose -d - 2 = -4. Solve -d = -2*z + 2 for z. 2 Suppose -3*h = 10 - 4. Let w = h + 5. Solve 0 = -w*k - 2*k + 15 for k. 3 Let m = 0 + 1. Suppose 2*p = 2*y + 4, 3*y + m + 5 = -3*p. Let l = y - -5. Solve b - l*b = 0 for b. 0 Let u(v) = -v + 19. Let h be u(12). Suppose 40 = -2*g + h*g. Solve 2*b + 2 + g = 0 for b. -5 Let y(j) = j**2 + j - 2. Let i(a) = -a**2 + 3*a + 1. Let g be i(4). Let x be y(g). Suppose -3*s = -x - 2. Solve -f = -s*f - 2 for f. -2 Let k = -100 - -100. Let j be 1 + 2 + -1 + 4. Suppose -j*s = -3*s. Solve 3*x + s*x - 9 = k for x. 3 Let j(o) = -o - 2. Let f be j(-4). Solve -12 = -5*w + f*w for w. 4 Let u(t) = -t**2 + 6*t - 7. Let c be u(3). Suppose 3*h - 7 = -c*n, -3*h - 28 = -5*n - 0*h. Solve -2 = -n*w - 7 for w. -1 Let h(j) = j**2 + 9*j + 11. Let w be h(-8). Let n be w/(-3) - -2 - -1. Solve -p = n*p - 3 for p. 1 Suppose o - 2*g - 2 = 0, 31*g - 32*g = 4*o - 17. Let i = 0 - 0. Let f be -1 + -1 + (0 - -10). Solve i - f = o*u for u. -2 Suppose -l = 2*q - 6, q - l = -2*q + 4. Let u(y) = y**3 - 7*y**2 + y - 6. Let w be u(7). Suppose -w - 3 = -2*i. Solve -i*h + 0 + q = 0 for h. 1 Let y = -56 - -69. Suppose 0 = -w - 4 + 5. Suppose -6 - 8 = -5*k + v, -2*k + 2 = -4*v. Solve -w = -k*d - y for d. -4 Suppose c + 11 = 13. Solve -c*v - 4 = 2 for v. -3 Let u = -1466 - -992. Let x be (-1)/(-3) - u/9. Suppose 5*o - 12 = x. Solve -1 = -3*r - o for r. -4 Let s(c) = -c**3 - 6*c**2 + 8*c + 18. Let r be s(-7). Solve -r = -5*h + 14 for h. 5 Let x be 7 - (-2)/(-1 - -3). Let q = -6 + x. Solve q*y + 3*y = 0 for y. 0 Let d(v) = -v**2 - 7*v - 2. Let b be d(-6). Let o be 12/(-9)*(-6)/b. Solve -6*r + o*r = -20 for r. 5 Let a(i) = i + 8. Let y be a(-5). Suppose -2*v - 2*n + 7 - y = 0, -2*n = 4. Solve -r = -0 + v for r. -4 Let g = 48 + -16. Suppose 2*s + g = 4*s. Solve 6 = 5*n + s for n. -2 Let q be (6/5)/(8/20). Let k be (-2 - (q - 6))*3. Suppose k = 5*t - 2. Solve -z + 2 = -t for z. 3 Let a(f) = f**2 + 3. Let w be a(-3). Let s = -6 - -9. Solve -s = 5*o + w for o. -3 Let f = -13 + 14. Let o = f + 1. Solve -o*c = -c for c. 0 Let x = -6 + 10. Solve 0 = -d + x*d for d. 0 Let p be -1 - (-6 + (3 - 1)). Suppose 12 = -p*o - h, 4*o - 2*h + 0*h + 16 = 0. Let u be (o/(-5))/(9/135). Solve -4*s + u = -0*s for s. 3 Let z(r) = -r**2 - 6*r. Suppose 6*l - 3*l + 18 = 0. Let x be z(l). Let a be 24/30*(x + 5). Solve -s = a*s + 20 for s. -4 Suppose s + 3 = 0, -5*i + 11*s - 7*s = -37. Solve 6 + 4 = i*p for p. 2 Let c(m) = 3*m**2 + 4*m - m**2 + 3 - 6*m. Let s be c(2). Solve s + 1 = 4*a for a. 2 Suppose 4*j - 4*y = 16, 3*j + 11*y - 6*y + 20 = 0. Solve j = 3*q - 1 + 7 for q. -2 Suppose -4*i + 6 = 3*t + 3, 0 = -i + 3*t + 12. Suppose 2*n = -k, -n = i*k - 4*k. Suppose k = 4*v + 3*m + 9, 0*v + 5*m + 15 = v. Solve 2 = -b - v*b for b. -2 Let h(g) = g**3 + g**2 - 4*g - 2. Let f be h(-3). Let p = f - -8. Solve -5*w + p*w = -5 for w. 1 Let x(f) = -4 + f + 0*f - 3*f + 5. Let m be x(-1). Solve 3*g - m = 9 for g. 4 Let p(z) = -159*z + 160*z - 4 + 20. Let i be p(-15). Suppose -2 = -2*f + 4, 7 = m + f. Solve -i = m*w + 3 for w. -1 Let h(p) = -5*p - 13. Let a(i) = 4*i + 13. Let n(w) = 4*a(w) + 3*h(w). Let g be n(-8). Suppose 5*z = g + 5. Solve b - z*b = -5 for b. 5 Let p(a) = a**2 - 2*a - 4. Let t be p(-3). Solve -t = 4*i + 5 for i. -4 Let p(m) be the second derivative of m**5/20 - m**4/12 - m**2 - 3*m. Let j be 25/10*(-12)/(-10). Let f be p(j). Solve -2*b + f = 2*b for b. 4 Let q = -3 + 4. Let c = 1 + q. Suppose 10*u = 2*u. Solve u = c*k - 3 - 5 for k. 4 Let x(i) = i**3 - 3*i**2 - 6*i + 5. Suppose 0 = 2*u - 8 - 0. Let c be x(u). Let a be 1/c + 30/9. Solve -2 = m - a*m for m. 1 Suppose -f = 4*j + 3*f - 4, 0 = -j - 2*f. Solve w + 2 = -j for w. -4 Suppose -w = -8 + 6. Suppose -2 = -w*v + 18. Solve -v = a + a for a. -5 Let p(j) = -j**2 - 5*j - 3. Let y be p(-4). Suppose 2*z = -5 + y. Let x be (5/20)/(z/(-8)). Solve -a - 1 = x for a. -2 Suppose -3*k -
{ "pile_set_name": "DM Mathematics" }
rst derivative of 3 + 0*d**3 + 0*d - d**2 - 1/24*d**4. Let y(l) be the second derivative of s(l). Let c(h) = 2*h. Determine c(y(w)). -2*w Let q(m) = -9*m. Let x(v) = 2*v - 3. Let b(n) = 6*n - 8. Let r(t) = -3*b(t) + 8*x(t). Determine r(q(w)). 18*w Let b(c) = -2*c**2. Let n(t) = t**2 + 1. Suppose 0 = -2*p + p + 2. Let v(y) = -p + 2 + 3*y**2 + 0*y**2 + 6. Let o(h) = 6*n(h) - v(h). Give b(o(q)). -18*q**4 Let s be 4/6 + 2/6. Let y be s - -1 - (1 + -1). Let z(p) = -y*p + 2*p + p. Let g(j) = 2*j**2. Calculate z(g(m)). 2*m**2 Let f(x) = -11*x**2. Let k(b) = -9*b**2. Let t(u) = -5*u**2. Let p(l) = -3*k(l) + 5*t(l). Calculate f(p(d)). -44*d**4 Let g(q) be the first derivative of -9*q**2/2 + 47. Let j(a) = -2*a. Calculate g(j(w)). 18*w Let i(a) = 7*a**2. Let c(q) = q - 2. Give c(i(d)). 7*d**2 - 2 Let u(v) = -16*v**2. Let c(q) = 14*q. Give u(c(p)). -3136*p**2 Let r(a) = -11*a**2. Let c(j) = 144*j**2. Let o(m) = 6*c(m) + 80*r(m). Let y(s) = 3*s**2. What is y(o(u))? 768*u**4 Let w(g) = 1045*g. Let d(l) = -l**2. Determine d(w(s)). -1092025*s**2 Let v(t) = -2*t**2. Let x(g) = -3376*g. Calculate v(x(a)). -22794752*a**2 Let u(v) be the first derivative of v**3/3 + 10. Let k(z) = 4*z**2. What is u(k(j))? 16*j**4 Suppose 5 = -3*m + 11. Let h(b) = 3 - 4 + 4*b**m + 1. Let z(y) = -2*y. Calculate z(h(d)). -8*d**2 Let n(z) = z**2. Let x(u) = 300*u + 1 - 320*u - 1. What is x(n(w))? -20*w**2 Suppose 1 - 1 = -10*j. Let q(u) be the second derivative of j + 0*u**2 - 3*u + 0*u**3 + 1/12*u**4. Let c(x) = 3*x. Give c(q(m)). 3*m**2 Let o(n) = 10*n. Let h(t) = -7*t + 50. What is o(h(q))? -70*q + 500 Let o = -8 + 8. Let w(x) be the first derivative of 0*x**2 + o*x + 1 + 1/3*x**3. Let h(f) = -2*f**2. Determine w(h(g)). 4*g**4 Let b(i) be the first derivative of 2*i**3/3 - 3. Let a(o) = o**2 - 1. Let z(s) = 6*s**2 - 7. Let n(h) = 14*a(h) - 2*z(h). Calculate n(b(f)). 8*f**4 Let p(j) = -2*j**2. Let r(w) = w**2 - 3*w + 2. Let a be r(2). Let v(u) = 8*u + 2*u + a*u. Calculate p(v(c)). -200*c**2 Let z(l) be the third derivative of -l**4/8 - 5*l**2. Let h(k) = -17*k. What is h(z(u))? 51*u Let y(a) = -2*a - 218 + 218. Let c(k) = k**2. Determine c(y(i)). 4*i**2 Let l(c) = 11*c**2. Let f(p) = 284*p. Determine l(f(t)). 887216*t**2 Let y(i) = -32*i**2 + 92*i**2 - 32*i**2 - 25*i**2. Let d(x) = 5*x**2 - 4. Let h(w) = w**2 - 1. Let k(s) = -d(s) + 4*h(s). Give y(k(p)). 3*p**4 Let v(m) = m. Let o(d) = -7*d. Let a(n) = -13*n. Let h(l) = -6*a(l) + 11*o(l). What is v(h(c))? c Let n(l) = 2*l. Let y(d) be the third derivative of 3*d**5/20 + 13*d**2. What is n(y(m))? 18*m**2 Let v(j) be the third derivative of j**5/60 - j**2. Let s(q) = 5*q**2. Calculate s(v(y)). 5*y**4 Let w(q) = -14*q. Let c(u) be the first derivative of 2*u**3/3 - 8. What is c(w(t))? 392*t**2 Let o be 2/(-1) - -4 - 0. Let s(q) = 2*q + q - 2*q. Let n(w) = -5*w. Let j(b) = o*n(b) + 9*s(b). Let m(v) = -3*v. What is j(m(l))? 3*l Let r(d) be the third derivative of -d**5/30 - 9*d**2. Let m(c) = -8*c. What is r(m(z))? -128*z**2 Let h(t) = 40*t. Let d(f) = 20*f. Calculate h(d(z)). 800*z Let i(y) = -10769 + 10769 - 6*y. Let c(d) = 0*d - 4*d + 3*d. Calculate i(c(b)). 6*b Let n(y) = y. Let d(z) = 3*z. Let f(g) = 4*d(g) - 9*n(g). Let s(c) = c**3 - 5*c**2 - 7*c + 8. Let w be s(6). Let u(k) = k**w - 2*k**2 + 2*k**2. What is u(f(j))? 9*j**2 Let l(y) = -35*y**2 - 9*y + 9*y + 5*y**2. Let m(g) = 2*g. What is m(l(a))? -60*a**2 Let g(k) = 2*k. Let j(r) be the third derivative of -1/6*r**4 + 0*r + 0 - 3*r**2 + 0*r**3. Give j(g(t)). -8*t Let o(k) be the first derivative of 0*k**3 + 0*k**2 - 3 - 1/6*k**4 - 4*k. Let r(s) be the first derivative of o(s). Let n(a) = -2*a**2. Give r(n(y)). -8*y**4 Let a(f) = -2*f. Let m(r) = -6*r**2. Give m(a(o)). -24*o**2 Let l(c) be the third derivative of c**5/60 + c**3/6 + 5*c**2. Let t(f) be the first derivative of l(f). Let q(d) = -d. Give t(q(s)). -2*s Let t(y) = -2*y**2. Let d(b) = 1. Let c(u) = -u - 11. Let j(z) = -c(z) - 3*d(z). Let o be j(-5). Let m(k) = k - o*k - 2*k. What is t(m(l))? -32*l**2 Let b(l) = 2*l + 43. Let s(f) = -2*f**2 - 16. Calculate b(s(j)). -4*j**2 + 11 Let t(i) = -17*i**2. Let w(k) be the second derivative of k**4/6 - 10*k. Give w(t(x)). 578*x**4 Let o(z) = -z**2. Let b(n) = 0 + 14*n + 0 - 18*n. Give o(b(q)). -16*q**2 Let x(o) be the second derivative of -7*o**4/12 + 40*o. Let h(j) = -6*j. Determine x(h(l)). -252*l**2 Let p(n) = 3*n**2. Let q(a) = -a + 515. Give q(p(m)). -3*m**2 + 515 Let b(h) be the first derivative of 15*h**2/2 + 2. Let d(r) be the first derivative of -2*r**3/3 - 2. Determine d(b(p)). -450*p**2 Let m(k) = 2*k**2. Let g be (-16)/(-2)*1/4. Let b(a) = -3*a**2 + 4*a**2 + 6*a**g - a**2. Give m(b(h)). 72*h**4 Let y(l) = 3*l. Let n(i) be the second derivative of 4*i + 0*i**2 + 0 + 0*i**3 + 1/12*i**4. Determine n(y(c)). 9*c**2 Let x(l) be the third derivative of 14*l**5/15 - 14*l**2 - 3. Let t(q) = q. What is x(t(n))? 56*n**2 Let l(b) = -15*b. Let q(u) be the third derivative of -u**4/12 + 4*u**2. Determine q(l(s)). 30*s Let b(h) = h**2. Suppose -6*p + 375 = -219. Let j(q) = 5*q**2. Let y(x) = 81*x**2. Let k(a) = p*j(a) - 6*y(a). Calculate b(k(r)). 81*r**4 Let o(v) = v. Let g(y) = -3*y**2 - 127. Give o(g(c)). -3*c**2 - 127 Let p(t) = t**2. Let o(h) = 16*h**2 - 25*h. Let v(l) = 4*l**2 - 6*l. Let i(q) = 2*o(q) - 9*v(q). Determine i(p(k)). -4*k**4 + 4*k**2 Let k be (0 - (-27)/(-3)) + -1. Let g(a) = 5*a + 3. Let t(m) = -16*m - 10. Let l(y) = k*g(y) - 3*t(y). Let n(v) = -19*v**2 + 13*v**2 + 8*v**2. What is l(n(q))? -4*q**2 Let g(l) = 2*l. Let a(s) = 545*s**2. Calculate g(a(q)). 1090*q**2 Let t(g) be the third derivative of 7*g**5/60 - g**2. Let o(h) be the first derivative of -h**3/3 + 79. Calculate t(o(z)). 7*z**4 Let z(y) = 2*y**2. Let q(d) be the third derivative of -2*d**5/15 + 14*d**2. Give q(z(c)). -32*c**4 Let z(r) = 31*r**2. Let f(d) = -3*d**2. Calculate f(z(a)). -2883*a**4 Let i(k) = k + 0*k + 0*k. Let a(u) = u. Let h(o) = a(o) - 2*i(o). Let q(y) = y**2 + 0 + 0. Calculate h(q(l)). -l**2 Let i(g) = g**2 - 2. Let p = -5 - -3. Let s(z) = 2*z**2 - 3. Let k(r) = p*s(r) + 3*i(r). Let v(b) = -3*b**2. What is v(k(w))? -3*w**4 Let n(c) = -2*c. Suppose 0 = -f + 6*f + 15. Let d = 5 + f. Let h(s) = -d*s**2 + 3*s**2 + 2*s**2. Calculate h(n(l)). 12*l**2 Let t(l) = -l. Let k(p) = 2*p - 193. Give k(t(b)). -2*b - 193 Let h(o) = -2*o. Let u(x) be the third derivative of -3*x**2 + 0*x + 0*x**3 + 5/24*x**4 + 0. Give h(u(g)). -10*g Let k(d) be the third derivative of 1/20*d**5 + 0*d**4 + 0*d**3 + 0 + 2*d**2 + 0*d. Let f(m) = -2*m. Determine k(f(y)). 12*y**2 Let d = -3 - -6. Let s(z) = -d + 0 + 3 - 2*z. Let l(j) be the second derivative of j**3/2 + j. Give s(l(u)). -6*u Let k(m) = 2*m - m - 5 + 5. Let d(w) = 7*w**2. Calculate k(d(q)). 7*q**2 Let y(x) = -53*x - 57*x + 109*x. Let g(o) = 27*o. What is g(y(h))? -27*h Let r(i) = -2*i**2. Suppose -c = -4*c - 12. Let k be c/(-4 - (-2 - 0)). Let g(v) = v**k + 29*v - 29*v. What is r(g(n))? -2*n**4 Let g(l) = -l. Let v = -10 - -7. Let t = -1 - v. Let x(u) = -2*u**2 + 2*u - 2. Let d(y) = -4*y**2 + 5*y - 5. Let k(b) = t*d(b) - 5*x(b). Give g(k(h)). -2*h**2 Let v(q) = 3 - 5 - 2*q + 4 + 0*q. Let r(s) = s**2 - 7*s + 7. Let k(y) = 2*r(y) - 7*v(y). Let t(x) = -x. Let l(n) = 8*n. Let j(w) = l(w) + 12*t(w). Give j(k(o)). -8*o**2 Let f(z) = 2*z. Let m(c) = 3*c**2. Calculate m(f(k)). 12*k**2 Let g(z) = -2*z**2. Let b(v) = 10*v - 4*v + 7*v + 3*v. What is b(g(h))? -32*h**2 Let d(v) = 10*v**2 - 78. Let j(n) = 2*n**2. Determine j(d(b)). 200*b**4 - 3120*b**2 + 12168 Let w(g) = -g**2. Let u(b) = 841*b**2. Calculate u(w(t)). 841*t**4 Let u(q) = 2*q. Let k(n) = 22*n**2. Calculate u(k(b)). 44*b**2 Let d(x) = -x. Let s(y) be the second derivative of 25*y**3/6 - 26*y. Determine d(s(p)). -25*p Let p(q) be the second derivative of 17*q**3/6 - 30*q. Let b(a) = a. Calculate b(p(u)). 17*u Let n(c) = 6*c**2 - 59. Let j(t) = -t**2. What is n(j(o))? 6*o**4 - 59 Let w(q) = 2*q. Let j(o) be the second derivative of -2*o + 0*o**2 + 4/3*o**3 + 0. Calculate j(w(c)). 16*c Let d(c) = -13*c. Let g(i) = 6*i**2. Calculate g(d(o)). 1014*o**2 Let r(v) = -20*v. Let f(w) = 2*w. Give r(f(j)). -40*j Let d(b) = 2*b - 1 + 1. Let t(z) be the first derivative of 2*z**3/3 + 10*z - 2. Let x(f) = 1. Let m(k)
{ "pile_set_name": "DM Mathematics" }
o the nearest integer? 2 What is the square root of 1188 to the nearest integer? 34 What is 1454 to the power of 1/7, to the nearest integer? 3 What is 13883 to the power of 1/3, to the nearest integer? 24 What is the cube root of 39987 to the nearest integer? 34 What is the square root of 28661 to the nearest integer? 169 What is the square root of 626 to the nearest integer? 25 What is 14447 to the power of 1/7, to the nearest integer? 4 What is 3471 to the power of 1/2, to the nearest integer? 59 What is 7965 to the power of 1/6, to the nearest integer? 4 What is the tenth root of 5739 to the nearest integer? 2 What is the square root of 3253 to the nearest integer? 57 What is the third root of 19672 to the nearest integer? 27 What is 16409 to the power of 1/2, to the nearest integer? 128 What is 10074 to the power of 1/6, to the nearest integer? 5 What is the tenth root of 4659 to the nearest integer? 2 What is the cube root of 739 to the nearest integer? 9 What is the eighth root of 804 to the nearest integer? 2 What is 688 to the power of 1/2, to the nearest integer? 26 What is the square root of 14330 to the nearest integer? 120 What is the cube root of 2430 to the nearest integer? 13 What is the third root of 54141 to the nearest integer? 38 What is 129 to the power of 1/10, to the nearest integer? 2 What is 3279 to the power of 1/2, to the nearest integer? 57 What is the tenth root of 2852 to the nearest integer? 2 What is the third root of 2353 to the nearest integer? 13 What is the third root of 9065 to the nearest integer? 21 What is 1243 to the power of 1/2, to the nearest integer? 35 What is the cube root of 188 to the nearest integer? 6 What is the cube root of 3040 to the nearest integer? 14 What is the third root of 2341 to the nearest integer? 13 What is 1278 to the power of 1/9, to the nearest integer? 2 What is the square root of 108159 to the nearest integer? 329 What is the fourth root of 7139 to the nearest integer? 9 What is the square root of 1184 to the nearest integer? 34 What is 1381 to the power of 1/2, to the nearest integer? 37 What is 1003 to the power of 1/2, to the nearest integer? 32 What is 18179 to the power of 1/3, to the nearest integer? 26 What is the square root of 1662 to the nearest integer? 41 What is the eighth root of 2359 to the nearest integer? 3 What is 4679 to the power of 1/2, to the nearest integer? 68 What is the square root of 5032 to the nearest integer? 71 What is the sixth root of 108130 to the nearest integer? 7 What is 3808 to the power of 1/2, to the nearest integer? 62 What is the square root of 48337 to the nearest integer? 220 What is 934 to the power of 1/2, to the nearest integer? 31 What is the square root of 244 to the nearest integer? 16 What is the square root of 8070 to the nearest integer? 90 What is the sixth root of 10403 to the nearest integer? 5 What is 17076 to the power of 1/2, to the nearest integer? 131 What is 12677 to the power of 1/4, to the nearest integer? 11 What is 40052 to the power of 1/3, to the nearest integer? 34 What is the third root of 268 to the nearest integer? 6 What is 38502 to the power of 1/4, to the nearest integer? 14 What is 3356 to the power of 1/2, to the nearest integer? 58 What is 30397 to the power of 1/6, to the nearest integer? 6 What is the eighth root of 52397 to the nearest integer? 4 What is the fifth root of 2804 to the nearest integer? 5 What is 7911 to the power of 1/4, to the nearest integer? 9 What is 6085 to the power of 1/2, to the nearest integer? 78 What is 5725 to the power of 1/9, to the nearest integer? 3 What is the cube root of 31570 to the nearest integer? 32 What is the fourth root of 31463 to the nearest integer? 13 What is the square root of 18447 to the nearest integer? 136 What is 9047 to the power of 1/2, to the nearest integer? 95 What is the cube root of 84023 to the nearest integer? 44 What is the ninth root of 513 to the nearest integer? 2 What is 5683 to the power of 1/2, to the nearest integer? 75 What is the square root of 85230 to the nearest integer? 292 What is the eighth root of 16690 to the nearest integer? 3 What is the tenth root of 159050 to the nearest integer? 3 What is 1753 to the power of 1/9, to the nearest integer? 2 What is 9282 to the power of 1/7, to the nearest integer? 4 What is the cube root of 611 to the nearest integer? 8 What is 972 to the power of 1/3, to the nearest integer? 10 What is 2645 to the power of 1/8, to the nearest integer? 3 What is 69009 to the power of 1/2, to the nearest integer? 263 What is the cube root of 1075 to the nearest integer? 10 What is the cube root of 593 to the nearest integer? 8 What is the square root of 1007 to the nearest integer? 32 What is the tenth root of 17355 to the nearest integer? 3 What is the third root of 1699 to the nearest integer? 12 What is the square root of 22641 to the nearest integer? 150 What is the square root of 3897 to the nearest integer? 62 What is the square root of 314 to the nearest integer? 18 What is 6670 to the power of 1/3, to the nearest integer? 19 What is 881 to the power of 1/6, to the nearest integer? 3 What is 54218 to the power of 1/2, to the nearest integer? 233 What is 544 to the power of 1/5, to the nearest integer? 4 What is 4838 to the power of 1/2, to the nearest integer? 70 What is the seventh root of 25874 to the nearest integer? 4 What is 24627 to the power of 1/2, to the nearest integer? 157 What is 1287 to the power of 1/8, to the nearest integer? 2 What is the tenth root of 71314 to the nearest integer? 3 What is the cube root of 866 to the nearest integer? 10 What is 4728 to the power of 1/2, to the nearest integer? 69 What is 120632 to the power of 1/3, to the nearest integer? 49 What is the tenth root of 806 to the nearest integer? 2 What is the fourth root of 16464 to the nearest integer? 11 What is the seventh root of 63268 to the nearest integer? 5 What is 9531 to the power of 1/8, to the nearest integer? 3 What is 3745 to the power of 1/10, to the nearest integer? 2 What is 2 to the power of 1/2, to the nearest integer? 1 What is the square root of 116 to the nearest integer? 11 What is 157032 to the power of 1/2, to the nearest integer? 396 What is 87 to the power of 1/10, to the nearest integer? 2 What is 5221 to the power of 1/10, to the nearest integer? 2 What is the tenth root of 14787 to the nearest integer? 3 What is the fourth root of 462 to the nearest integer? 5 What is 16152 to the power of 1/2, to the nearest integer? 127 What is the sixth root of 766 to the nearest integer? 3 What is the third root of 5167 to the nearest integer? 17 What is the square root of 4829 to the nearest integer? 69 What is 4991 to the power of 1/2, to the nearest integer? 71 What is the third root of 28639 to the nearest integer? 31 What is the third root of 9556 to the nearest integer? 21 What is 44872 to the power of 1/3, to the nearest integer? 36 What is the cube root of 37001 to the nearest integer? 33 What is the tenth root of 70597 to the nearest integer? 3 What is 844 to the power of 1/4, to the nearest integer? 5 What is 1559 to the power of 1/2, to the nearest integer? 39 What is the cube root of 34047 to the nearest integer? 32 What is 869 to the power of 1/2, to the nearest integer? 29 What is the seventh root of 8140 to the nearest integer? 4 What is the fourth root of 12765 to the nearest integer? 11 What is 52193 to the power of 1/10, to the nearest integer? 3 What is the eighth root of 44385 to the nearest integer? 4 What is the cube root of 21635 to the nearest integer? 28 What is the square root of 122891 to the nearest integer? 351 What is the fifth root of 3818 to the nearest integer? 5 What is 12226 to the power of 1/2, to the nearest integer? 111 What is 1038 to the power of 1/7, to the nearest integer? 3 What is the square root of 7836 to the nearest integer? 89 What is the seventh root of 73594 to the nearest integer? 5 What is the square root of 4180 to the nearest integer? 65 What is 2642 to the power of 1/3, to the nearest integer? 14 What is 998 to the power of 1/8, to the nearest integer? 2 What is the square root of 57488 to the nearest integer? 240 What is the cube r
{ "pile_set_name": "DM Mathematics" }
ive n*w(a) + 11*b(a). -2*a + 1 Let w(b) = 50*b**2 + 35*b + 35. Let k(l) = 32*l - 25. Let c be k(-5). Let u = c - -150. Let j(v) = 3*v**2 + 2*v + 2. What is u*j(o) + 2*w(o)? -5*o**2 Suppose 0*d = -3*d + 9. Suppose -2*u + 1 + 1 = 2*p, 0 = d*u - 5*p - 35. Let o(z) = z**2 - 4*z - 3. Let g(s) = s**2 - 5*s - 4. What is u*o(a) - 4*g(a)? a**2 + 1 Suppose 682*i - 670*i = -12. Let n(q) = -7*q - 17. Let o(u) = u + 1. What is i*n(c) - 3*o(c)? 4*c + 14 Let c(i) = 2*i**3 + 8*i**2 - 6*i. Let s(n) = -n**3 - 3*n**2 + 2*n. Suppose 6*l - 3*l - 30 = 3*z, -4*z = 3*l - 37. Determine l*s(d) + 4*c(d). -3*d**3 - d**2 - 2*d Let b(d) = -7*d**2 + 1. Let x(y) be the second derivative of -7*y**4/4 + 3*y**2/2 + 7896*y. What is -11*b(u) + 4*x(u)? -7*u**2 + 1 Let f(x) = 2*x**2 - 4*x - 1. Let o = 12847 + -12839. Let n(z) = -6*z**2 + 11*z + 2. Determine o*f(l) + 3*n(l). -2*l**2 + l - 2 Let a(k) = -6*k**3 + 2*k**2 + 2*k. Let c be (-162)/39 + 4 + (-72)/39. Let x(s) = 3*s**2 + s**3 - s - 6*s**2 + s**2 + 1 + s**2. Give c*x(p) - a(p). 4*p**3 - 2 Suppose 8*b - 1350 = -b. Suppose 8*k = -2*k + b. Let p(n) = 6*n - 6. Let l(v) = -v + 1. Give k*l(y) + 2*p(y). -3*y + 3 Let z(x) be the first derivative of 5*x**2/2 + 3*x + 532. Let v(c) = 1. Give 6*v(g) - z(g). -5*g + 3 Let s(p) = 2*p + 1 - 8*p**2 - 8*p + 1 + p. Let o(y) be the third derivative of 17*y**5/60 + 11*y**4/24 - 5*y**3/6 + 117*y**2. Calculate -4*o(l) - 9*s(l). 4*l**2 + l + 2 Let o = 2774 + -2772. Let b(w) be the third derivative of -w**3/6 - 3*w**2. Let k(p) = -9*p**2 - 2. Give o*b(y) - k(y). 9*y**2 Let j(h) = 2*h + 2472. Let n(v) = -6*v - 7423. Give -8*j(m) - 3*n(m). 2*m + 2493 Let d(c) = 6*c**2 - 30*c + 23. Let k(i) = -18*i**2 + 91*i - 81. Give -7*d(v) - 2*k(v). -6*v**2 + 28*v + 1 Let l(r) = -4*r**2 - 5*r + 2. Let m(h) = 3*h**2 + 34*h - 11 + 18*h**2 - 9*h. Let c(t) = 5*t**2 + 241*t + 284. Let f be c(-47). Calculate f*m(i) + 11*l(i). -2*i**2 - 5*i Let y(q) = -7*q - 4. Let w(k) = 35*k + 21. Suppose -53*x + 4*i = -48*x + 27, -3*x + 3*i = 12. Determine x*y(u) - 2*w(u). 7*u + 2 Let d(y) = y - 4. Let s be (-216)/(-6) - (-3 + 1). Let m = 33 - s. Let l(v) = -2. Give m*l(z) + 2*d(z). 2*z + 2 Let n(w) = 32*w**3 - 11*w**2 + 5*w - 7. Let d(t) = 16*t**3 - 6*t**2 + 3*t - 5. What is -5*d(s) + 3*n(s)? 16*s**3 - 3*s**2 + 4 Let m(q) = q**3 - q. Let s be (4/18*18/10)/((-11)/(-55)). Let i(j) = 9*j**3 + j**2 - 4*j. Calculate s*m(n) - i(n). -7*n**3 - n**2 + 2*n Suppose -3 = -a - 2*h + h, 5*a = -h + 11. Let n(p) be the second derivative of p**3 + 13*p**2 + 1820*p. Let k(m) = -m - 5. Give a*n(c) + 11*k(c). c - 3 Let j(m) = -2*m + 1. Let w(h) be the second derivative of -1/2*h**3 - 7 + 7*h + h**2. What is 5*j(k) - 3*w(k)? -k - 1 Let w be (-6)/63 + (-1138)/(-42). Let l be -11 - -8 - -1*w. Let c(t) = -6*t + 5. Let s(f) = 30*f - 24. Give l*c(j) + 5*s(j). 6*j Let o(s) = 2*s**3. Let f(t) = -10*t**3 + 206*t. Give f(w) + 6*o(w). 2*w**3 + 206*w Let n(s) = -553089*s. Let m(a) = 789*a. Determine 6312*m(p) + 9*n(p). 2367*p Let d(l) = 6*l. Let n(o) = -11*o + 949 + 960 - 1908. What is -7*d(v) - 4*n(v)? 2*v - 4 Let l(u) = 4*u**2 + 21. Let p(a) = a**2 + 3. Let j(w) = -l(w) + 6*p(w). Let i(r) = -3*r**2 + 4. Let s be (-64)/(-24) + (-4)/(-3). Determine s*i(k) + 5*j(k). -2*k**2 + 1 Let a(u) = u + 1. Suppose 5*b = 7*b - 6. Let p(k) = k + 0*k + k - b*k + 4. Suppose 3 = -4*z - 1. What is z*p(d) + 2*a(d)? 3*d - 2 Let r(k) = -2*k + 2. Let j(t) = 8*t**2 - 10*t + 77. Determine j(y) - 5*r(y). 8*y**2 + 67 Let d(g) = 3830*g + 1. Let l(h) = -3845*h - 2. What is 4*d(r) + 3*l(r)? 3785*r - 2 Let u(m) = 8383*m + 27. Let l(g) = -1676*g - 5. Determine 11*l(z) + 2*u(z). -1670*z - 1 Let x(y) = -3*y**2 - y + 7. Let g(n) = -n**3 + 27*n**2 - 49*n - 21. Let i be g(25). Let k(z) = -i + 11 + 1 - 7. Give 6*k(q) - x(q). 3*q**2 + q - 1 Let l(k) = 16*k**3 + k**2 + 4*k + 15. Let x(s) = 17*s**3 + s**2 + 5*s + 15. Determine -4*l(c) + 3*x(c). -13*c**3 - c**2 - c - 15 Let f(p) = 17*p - 6. Let o(q) = -6 - 6 + 0 + 7 + 16*q + 0. Give -2*f(y) + 3*o(y). 14*y - 3 Let m(r) = 229*r - 64713. Let a(k) = -51*k + 16178. Calculate 9*a(w) + 2*m(w). -w + 16176 Suppose -134*u = -182*u + 288. Let k(h) = -3*h**3 - 5*h**2 - 7. Let a(v) = 4*v**3 + 6*v**2 + 8. Give u*a(w) + 7*k(w). 3*w**3 + w**2 - 1 Let p(k) = 44732*k - 96. Let n(c) = 11183*c - 25. Determine 23*n(l) - 6*p(l). -11183*l + 1 Let r(w) = 16*w**3 - 5*w**2 - 58*w + 216. Let n(g) = -13*g**3 + 4*g**2 + 46*g - 217. Give -5*n(u) - 4*r(u). u**3 + 2*u + 221 Let y(q) = q**2 - q. Let w(j) be the second derivative of j**3/2 + j**2 - 16*j + 70. Suppose d + 2*s = 1, d - s = -0*d - 2. Give d*w(o) - 3*y(o). -3*o**2 - 2 Suppose 15*o + 103 - 523 = 0. Let d = o - 18. Suppose 0 = -d*q + 56 + 34. Let r(w) = 4*w - 1. Let a(k) = 17*k - 4. Give q*r(i) - 2*a(i). 2*i - 1 Let v(i) = 3*i - 7. Let j(z) = -28*z + 63. Let w(c) = -34*c + 77. Let r(h) = 6*j(h) - 5*w(h). What is -6*r(p) + 5*v(p)? 3*p + 7 Let n(q) = -154*q**2 + 8*q + 32. Let s(p) = 180*p**2 - 10*p - 31. Give -7*n(z) - 6*s(z). -2*z**2 + 4*z - 38 Let n(f) = -45*f**2 + 676*f - 19. Let r be n(15). Let m(o) = -3*o**2 - 3*o + 1. Let t(j) = 7*j**2 + 7*j - 2. Calculate r*t(l) - 9*m(l). -l**2 - l - 1 Suppose 0 = l + 35*l + 1008. Let q = l - -21. Let b(f) = -5*f + 1. Let d(m) = m**2 - 16*m + 4. What is q*b(k) + 2*d(k)? 2*k**2 + 3*k + 1 Let o(p) = -5*p**3 - 2*p + 1. Let j(w) = -9*w**3 - 3*w**2 - 8*w + 9. Let f(v) = j(v) - 3*o(v). Let u(b) = -b**3 + b**2 - 1. Determine f(x) + 4*u(x). 2*x**3 + x**2 - 2*x + 2 Let n(q) = -50896*q**2 + 25468*q**2 + 92 + 25459*q**2 + 155*q + 63. Let a(h) = h + 1. Determine -155*a(k) + n(k). 31*k**2 Let w(s) = -s**2 - 2*s + 9. Let l(y) = -14 + 20*y**2 - 11*y**2 - 3*y**2 - 8*y + y**3. Let t be l(-7). Let p(z) = z**2 + 3*z - 13. Calculate t*w(f) - 5*p(f). 2*f**2 - f + 2 Let f(y) = -4*y**2 - 5*y. Let s(j) be the first derivative of -j**4/4 - j**3/3 - j - 1861. Determine -f(w) + 2*s(w). -2*w**3 + 2*w**2 + 5*w - 2 Let o(j) = -10*j - 16. Let c be o(-2). Suppose c*u + 3*x = -7, 0*u - x = 4*u + 5. Let l(b) = -b. Let d(w) = -1 + 0 - 2 + 4*w. Give u*d(h) - 3*l(h). -h + 3 Let m(p) = -p. Suppose -3688 = -16*r - 3672. Let q(y) = 9*y. Give r*q(g) + 3*m(g). 6*g Let z(h) = h**3 - 6*h**2 + 22*h. Let j(c) = -c**3 + 5*c**2 - 23*c. Let v(s) = -s**3 - 46*s**2 + 2*s + 98. Let x be v(-46). Give x*j(m) + 5*z(m). -m**3 - 28*m Let h(x) = 3 + x - 10 - 9 + 16. Let m(p) = p**2 + p. Calculate 3*h(n) - 4*m(n). -4*n**2 - n Let c(t) = -15*t + 7. Let z(s) = -7*s + 6 + s - 8*s. Let f be ((-18)/(-54))/((-1)/(0 - 21)). Calculate f*z(o) - 6*c(o). -8*o Let s(u) = -1051*u**2 + 22*u + 5. Let q(t) = -t**2 + 18*t + 3. Give -q(c) + s(c). -1050*c**2 + 4*c + 2 Let r(s) = 2*s**3 - 15*s**2 + 2*s + 83. Let u(t) = -5*t**3 + 35*t**2 - 4*t - 167. Determine -9*r(l) - 4*u(l). 2*l**3 - 5*l**2 - 2*l - 79 Let d(g) = -16*g**2 - 4636*g - 5. Let m(u) = -38*u**2 - 11590*u - 12. What is -12*d(w) + 5*m(w)? 2*w**2 - 2318*w Let k(v) = 7*v**3 - 6*v**2 + 6*v. Let n(p) = -p**3 + p**2 - p. Let c = -6938 - -6944. Determine c*n(h) + k(h). h**3 Let j(p) = 9*p + 8. Suppose 309*m + 436 = 1981. Let h(y) = -8*y - 7. What is m*j(t) + 6*h(t)? -3*t - 2 Let a(m) = -11*m. Let g(k) = 0*k - 2 + 78*k + 2. Let u = 73 + -109. What is u*a(d) - 5*g(d)? 6*d Let z(o) = o**2 - 1. Let v(l) be the third derivative of 13*l**5/60 - l**3 - 95*l**2. Suppose 10*m + 28*m = -38. Determine m*v(r) + 6*z(r). -7*r**2 Let g = 145 + -143. Let y be (g/6)/((-31)/(-15) - 2). Let s(u) = -3*u**3 + 7*u**2 - 9*u + 7. Let v(a) = 2*a**3 - 5*a**2 + 6*a - 5. Calculate y*s(z) + 7*v(z). -z**3 - 3*z Let z(i) = 8027*i - 169. Let k(r) = 8026*r - 112. Determine 3*k(n) - 2*z(n). 8024*n + 2 Let l(k) = -13*k - 857. Let x(p) = -17*p - 858. Calculate 5*l(s) - 4*x(s). 3*s - 853 Let o(t) = 115*t**2 - 21*t + 83. Let l(g) = -23*g**2 + 4*g - 17. Give 11*l(s) + 2*o(s). -23*s**2 + 2*s - 21 Let p(w) = -5*w**2 - 3*w. Let r(n) be the second derivative of -n**4/12 + n**3/6 + n. Let q be 6723 + -6735 - (4/(-2) - (8 - -1)). Determine q*p(b) - 3*r(b). 8*b**2 Let h(b) be the third derivative of 1/6*b**4 + 5*b + b**3 - 11/60*b**5 - 3*b**2 + 0. Let r(u) = 5*u**2 - 2*u - 3. What is -4*h(l) - 9*r(l)? -l**2 + 2*l + 3 Let h(z) = 10*z**3 - 65*z**2 - 65*z. Let p(i) = -i**3 + 6*i**2 + 6*i. Let a(u) = -u - 1. Let b be a(-12). Let x = 5 - b. Give x*h(r) - 65*p(
{ "pile_set_name": "DM Mathematics" }
5 1 times -3.2531038 -3.2531038 Calculate -238*114009. -27134142 Work out 1072730 * 0.27. 289637.1 What is the product of -84372 and 1.1521? -97204.9812 Work out 1187 * -3.3. -3917.1 Product of -125 and 4.2395. -529.9375 What is the product of 44315399 and 0.06? 2658923.94 What is the product of 4758466 and -3? -14275398 Product of 0.0289693 and 0.64. 0.018540352 Calculate 6.35*-6.9125. -43.894375 4*2791369 11165476 What is -5 times 37696192? -188480960 -41.233937 times 0.07 -2.88637559 What is the product of -0.12921759 and -0.12? 0.0155061108 What is 814317.5 times -0.5? -407158.75 Calculate 2*2896599. 5793198 What is the product of 1.4 and -23667575? -33134605 Product of -39245 and 1525.5. -59868247.5 Product of 0.13 and -201116.1. -26145.093 What is the product of -111 and -13.7778? 1529.3358 Work out 0.02623 * -0.1934. -0.005072882 -0.04183085 * -2 0.0836617 What is 880 times 6833? 6013040 -0.016 times 436204 -6979.264 Multiply -163182 and 938. -153064716 2778274*1 2778274 Product of 60 and -409734. -24584040 What is the product of 879497 and 0.95? 835522.15 -89354*0.0133 -1188.4082 -30506630*-2.3 70165249 Work out 1177079 * -0.01. -11770.79 0.3 times 1358620 407586 181.9379 times -0.02 -3.638758 What is 1858279 times 1? 1858279 Product of -40.9 and -12654. 517548.6 Calculate -6229001*-0.8. 4983200.8 -243136666 * -1 243136666 Work out 5527005 * 0.18. 994860.9 Calculate 191020.7*14. 2674289.8 Product of 2.167825 and 276. 598.3197 Calculate 121*-0.264. -31.944 Multiply 37549 and 0.5. 18774.5 What is the product of -10192845 and -0.3? 3057853.5 What is the product of 897 and -1174.9? -1053885.3 -3.9 * 491844 -1918191.6 What is 1636018 times 0.9? 1472416.2 2417837 * -6 -14507022 Product of 31076.61 and -0.05. -1553.8305 -539924 times 5 -2699620 Work out 53851.8 * 22. 1184739.6 What is -24 times 500596.6? -12014318.4 What is the product of 1490803 and -5? -7454015 What is the product of -0.3 and -922947? 276884.1 -1*-2847411 2847411 -33 * -3517603 116080899 Calculate 585353*2.18. 1276069.54 155.8*18.08 2816.864 17*-6.95889 -118.30113 Calculate -6*13826.931. -82961.586 Product of 4 and 2967.178. 11868.712 What is the product of -198.5 and 3902.95? -774735.575 Calculate 0.2441957*218. 53.2346626 What is -0.2 times -2.278435? 0.455687 0.3 * -2518628 -755588.4 4 * -5408252 -21633008 -3 * 114563681 -343691043 -0.25 times -185209 46302.25 What is 0.9 times -2036.6681? -1833.00129 0.0684 * -2.17643 -0.148867812 2 * 4.07346 8.14692 Product of 33501 and -12.98. -434842.98 7 * -149283.3 -1044983.1 756027 * -24 -18144648 1161779 * 0 0 Calculate 52*-107260. -5577520 -824.5699 * -49 40403.9251 -2 * 307.1971 -614.3942 What is the product of -920 and 0.031852? -29.30384 What is the product of 1 and -1401024? -1401024 13091 * 207 2709837 Multiply 9.9 and 225172. 2229202.8 Product of -176004 and -14. 2464056 0.231 times -1.79092 -0.41370252 48.82*88019 4297087.58 Product of 55993 and 70. 3919510 Work out -0.0131214 * 5.12. -0.067181568 Product of 339.88 and 37.7. 12813.476 Product of 50023 and 2553. 127708719 2299688*9 20697192 Work out 19.64058 * -18.2. -357.458556 4*22028597 88114388 0.021118751 * 0.4 0.0084475004 What is -954.02 times 6201? -5915878.02 1.62*0.0022232 0.003601584 What is the product of 332 and -962.646? -319598.472 Calculate 44.4*-7803. -346453.2 -2490394*0.004 -9961.576 Calculate 6187*0.1057. 653.9659 -1 times 0.481449 -0.481449 18135 times 507.3 9199885.5 What is 25 times 1835402? 45885050 20529068 * 0.3 6158720.4 768140 * -0.01 -7681.4 -193170.6 * 19 -3670241.4 Work out -1.25193731 * -0.4. 0.500774924 -5335.55 times 6 -32013.3 Product of 11.907 and 41. 488.187 656.04 times 16811 11028688.44 Multiply 12735 and -29.8. -379503 Product of 0 and -158938. 0 What is the product of -477.28 and -8.56? 4085.5168 What is the product of 1 and -69.57417? -69.57417 -0.3675 * -19118 7025.865 -0.87*-48.9825 42.614775 15541.886*-5 -77709.43 -219 * 127438 -27908922 -0.0830765 * 231 -19.1906715 What is the product of -0.06 and -22301853? 1338111.18 Multiply 2 and -155939.86. -311879.72 Work out -5 * 7582706.1. -37913530.5 Product of 19.6 and 0.2436691. 4.77591436 -10.88636 * 241 -2623.61276 What is the product of -4070210 and -2? 8140420 What is the product of -1.3 and 1817.029? -2362.1377 What is 0.5 times 119171.52? 59585.76 What is 11624200 times 0.5? 5812100 Multiply -326286 and 6.9. -2251373.4 -769 * 0.3552 -273.1488 6.845 * 0.1081 0.7399445 Calculate 16.584736*-0.4. -6.6338944 Work out -0.02 * -3185959. 63719.18 Product of 3.14573 and -0.135. -0.42467355 25633*-14174 -363322142 -53.3 * 341.79 -18217.407 What is 366 times -54842? -20072172 Product of -2643312 and 0.4. -1057324.8 Calculate 544*-62114. -33790016 Product of 10779.705 and -5. -53898.525 Multiply -83 and -73831. 6127973 129757.22 times 5 648786.1 -34350.5 * -3.6 123661.8 What is 0.84 times -3374.1? -2834.244 Multiply -4179 and -3.741. 15633.639 0.083 * -375.199 -31.141517 Multiply 5.517 and 319. 1759.923 -3 times -5390003 16170009 Product of 3884 and -72.5. -281590 Multiply 0.1 and -32605. -3260.5 Multiply 0.9 and -1.250768. -1.1256912 What is -0.016 times 284295? -4548.72 -838098 times 6.47 -5422494.06 What is the product of 15583260 and -5? -77916300 Multiply 0.68 and -59.622. -40.54296 Product of -0.2 and -205501053. 41100210.6 26.62 * -0.2558 -6.809396 Work out -19 * 2273231. -43191389 Multiply 0.4 and 8823071.4. 3529228.56 5*-4015337 -20076685 Product of 19.74705 and -2. -39.4941 What is -192 times 121.791? -23383.872 -1.049 times 1744 -1829.456 Product of -0.2851 and -4.4373. 1.26507423 Multiply -9.25228 and -0.79. 7.3093012 Calculate 879.812412*-2. -1759.624824 Multiply 5629450 and 1.4. 7881230 Product of 164.079 and 2.267. 371.967093 286.273 * -301 -86168.173 Product of 1467.23504 and 0.5. 733.61752 Product of -953635 and 0.54. -514962.9 838157 * 16 13410512 7 times 50.49448 353.46136 -1.1 * -30513207 33564527.7 Calculate 3220611*-12. -38647332 What is the product of -0.1232336 and -80? 9.858688 What is 13 times -1958472? -25460136 Product of 0.331 and -1.00845. -0.33379695 3102578*0.195 605002.71 Work out -888450 * -26.7. 23721615 7037100 * -4.7 -33074370 What is the product of 116709 and -47.02? -5487657.18 7705 times 11769 90680145 -11 * -7791604 85707644 Multiply 3 and -98695.67. -296087.01 143.37752 * -2 -286.75504 169736 times 0.61 103538.96 Work out 625277 * -31. -19383587 -77*77.282 -5950.714 Work out 221269 * -11. -2433959 -1331.2177 * -0.1 133.12177 Work out -4 * -29419399. 117677596 18618 * 1468 27331224 Product of -0.3 and 64767306. -19430191.8 Multiply -82 and 14.76. -1210.32 Calculate 1472106*-996. -1466217576 What is 421 times 159154? 67003834 Calculate 69273*-33. -2286009 Work out 5 * 2754584. 13772920 0.06403154 times 13 0.83241002 0.29 times -34228746 -9926336.34 Multiply 0.09 and 51051.4. 4594.626 Work out 72.6 * 14820. 1075932 56655908 times -6 -339935448 -155 times -1284.78 199140.9 What is the product of 73108373 and 1? 73108373 Work out -51613627 * 2. -103227254 358 * -1478 -529124 Product of 45.5883 and -1.6. -72.94128 0.5 * -0.0420583 -0.02102915 0.0492 times -4094.8 -201.46416 Product of 0.2429 and 39882. 9687.3378 Calculate 0.107*1893.98. 202.65586 Multiply 83 and -0.03775. -3.13325 215 * 1754 377110 -0.18609 * 261 -48.56949 14*62.9167 880.8338 Multiply -20.04 and 3755. -75250.2 6508*-305 -1984940 Product of 1496 and 10.654. 15938.384 0.187 times -1.8944 -0.3542528 What is -0.5 times -356480.7? 178240.35 What is the product of 0.0577088 and 10? 0.577088 16680172 times 3 50040516 What is 27013.37 times -12? -324160.44 What is the product of -0.19 and 4125257? -783798.83 Work out -4794831 * 5. -23974155 Product of 14 and 2063004.8. 28882067.2 What is 0.12938 times -9.25? -1.196765 1.0472*-4.4867 -4.69847224 Product of -4 and 4550205. -18200820 -1750 times -1545.4 2704450 What is the product of -158370781 and 5? -791853905 44094 * 166.8 7354879.2 Product of 0.4 and -10558284. -4223313.6 Work out -3.1195 * -1051. 3278.5945 Product of -2337.2 and -173. 404335.6 26964.9 * -0.16 -4314.384 -0.219*-0.0679839 0.0148884741 -30.13462 * -7 210.94234 Calculate 8807*-11164. -98321348 Multiply 6543893 and 5. 32719465 Calculate -3.3*2.112204. -6.9702732 What is the pr
{ "pile_set_name": "DM Mathematics" }
, -43808233, -58410967, -73013699? -87616429 What is the next term in 5453368, 5453376, 5453390, 5453410? 5453436 What comes next: 12120, -4635, -21390, -38145? -54900 What is the next term in 1260075, 1260152, 1260353, 1260738, 1261367, 1262300, 1263597, 1265318? 1267523 What comes next: -121511810, -121511812, -121511814, -121511816, -121511818, -121511820? -121511822 What is the next term in -47419, -379983, -1282657, -3040495, -5938551, -10261879, -16295533? -24324567 What is the next term in -80739902, -161479804, -242219706, -322959608? -403699510 What is next in 3991, 7778, 11371, 14770? 17975 What comes next: 16733, 66951, 150659, 267857, 418545? 602723 What is next in -27855, -55393, -82933, -110475? -138019 What comes next: 736, 1045, 1124, 859, 136, -1159? -3140 What comes next: 1782, 2508, 3262, 4044, 4854, 5692, 6558? 7452 What is the next term in 41867, 39192, 36527, 33878, 31251, 28652, 26087? 23562 What is the next term in -13998, -15888, -17778, -19668, -21558, -23448? -25338 What is the next term in 24195, 96757, 217699, 387021, 604723? 870805 What is next in -21723535, -21723582, -21723627, -21723670, -21723711, -21723750, -21723787? -21723822 What comes next: -68473, -137044, -205615, -274186? -342757 What is the next term in 10990, 22070, 33150? 44230 What comes next: -943713, -943738, -943763? -943788 What is the next term in 310959, 310770, 310581? 310392 What is the next term in 21268847, 85075391, 191419631, 340301567, 531721199, 765678527, 1042173551? 1361206271 What is next in -7211583, -7211584, -7211587, -7211592, -7211599, -7211608, -7211619? -7211632 What comes next: 1072, 7291, 24166, 57025, 111196? 192007 What is the next term in 7073, 28187, 63371, 112625, 175949, 253343, 344807? 450341 What comes next: 2621, 5706, 9263, 13292, 17793? 22766 What is the next term in 1172063, 1172054, 1172045, 1172036, 1172027, 1172018? 1172009 What comes next: 20790021, 41580041, 62370061, 83160081? 103950101 What comes next: 22850, 29923, 36998, 44075, 51154? 58235 What is the next term in 218173, 218809, 219445? 220081 What comes next: -63835, -63743, -63591, -63379? -63107 What is next in -95340, -95358, -95388, -95430, -95484, -95550, -95628? -95718 What is the next term in 26372975, 26372973, 26372971, 26372969, 26372967? 26372965 What comes next: 140722, 140696, 140634, 140518, 140330, 140052, 139666? 139154 What comes next: -25856, -25895, -25952, -26027, -26120? -26231 What comes next: -4379678, -4379686, -4379704, -4379738, -4379794, -4379878, -4379996? -4380154 What is the next term in 6346, 48024, 160348, 378640, 738222? 1274416 What is the next term in 65332736, 65332744, 65332752, 65332760? 65332768 What is next in -194119, -774997, -1743127, -3098509, -4841143, -6971029? -9488167 What is the next term in -77681, -155439, -233365, -311543, -390057, -468991, -548429? -628455 What comes next: -1480016, -2960028, -4440040? -5920052 What is the next term in 85684, 169637, 253590, 337543, 421496? 505449 What comes next: -69617, -139247, -208935, -278711, -348605? -418647 What is the next term in -98166, -392657, -883466, -1570593, -2454038, -3533801, -4809882? -6282281 What is next in -820016, -3279864, -7379542, -13119050, -20498388, -29517556, -40176554? -52475382 What comes next: -1360384, -1360465, -1360546, -1360627, -1360708, -1360789? -1360870 What comes next: 23965823, 23965835, 23965837, 23965823, 23965787, 23965723? 23965625 What is next in 83418595, 83418594, 83418593, 83418592, 83418591? 83418590 What comes next: -86, -492, -1234, -2366, -3942? -6016 What is next in 423228, 423209, 423182, 423147, 423104, 423053? 422994 What is next in -24126, -22349, -20572, -18795? -17018 What is the next term in -28688, -28907, -29102, -29267, -29396, -29483? -29522 What is next in 198293, 793172, 1784639, 3172694, 4957337, 7138568? 9716387 What comes next: 108, 863, 2154, 3975, 6320, 9183, 12558? 16439 What is the next term in -9751, -39300, -88687, -158026, -247431, -357016, -486895? -637182 What is the next term in -9584638, -9584653, -9584686, -9584743, -9584830, -9584953? -9585118 What is next in -2728, -2746, -2792, -2866, -2968? -3098 What comes next: 2357, 1984, 1611? 1238 What comes next: 4871089, 4871017, 4870945? 4870873 What is next in -233617, -233598, -233579, -233560, -233541? -233522 What is the next term in 18496, 35338, 52180? 69022 What is the next term in -5799451, -11598875, -17398301, -23197729? -28997159 What is the next term in 2997, 11386, 25171, 44364, 68977, 99022? 134511 What is next in -2048781, -2048799, -2048823, -2048859, -2048913? -2048991 What is the next term in 11311, 16545, 21779, 27013, 32247? 37481 What is the next term in 2955440, 2955583, 2955726, 2955869? 2956012 What is next in 711, 5247, 17513, 41367, 80667, 139271, 221037, 329823? 469487 What comes next: -1989469, -1989470, -1989471, -1989472? -1989473 What is the next term in 255038, 255153, 255258, 255347, 255414, 255453, 255458? 255423 What comes next: 26285, 105552, 237341, 421388, 657429, 945200? 1284437 What comes next: 830956021, 830956022, 830956023, 830956024? 830956025 What comes next: -1308, -2832, -4202, -5340, -6168, -6608? -6582 What comes next: -75670181, -151340383, -227010587, -302680793, -378351001? -454021211 What comes next: -30857061, -61714123, -92571185, -123428247, -154285309? -185142371 What is the next term in 47403, 189689, 426825, 758805, 1185623, 1707273, 2323749, 3035045? 3841155 What is the next term in -35248, -142416, -321030, -571090? -892596 What comes next: -148124, -148166, -148208, -148250, -148292, -148334? -148376 What is the next term in -1068285, -1067526, -1066253, -1064460, -1062141, -1059290, -1055901, -1051968? -1047485 What is the next term in 908, 1860, 2874, 3980, 5208, 6588? 8150 What comes next: 7071010, 7070966, 7070920, 7070872? 7070822 What is the next term in 311289, 312247, 313205, 314163, 315121, 316079? 317037 What is next in 560067, 1120146, 1680225, 2240304? 2800383 What comes next: 12376260, 24752482, 37128692, 49504884, 61881052, 74257190, 86633292, 99009352? 111385364 What is the next term in -20047725, -40095457, -60143189, -80190921, -100238653? -120286385 What is the next term in -407, -3076, -10327, -24452, -47743? -82492 What is the next term in 46642, 93274, 139868, 186394, 232822, 279122, 325264, 371218? 416954 What comes next: -251541, -1008304, -2269575, -4035354, -6305641? -9080436 What comes next: -40131, -321081, -1083633, -2568573, -5016687? -8668761 What comes next: 156931, 157138, 157431, 157852, 158443? 159246 What is the next term in 9869386, 9869385, 9869384? 9869383 What is next in -1779, -14175, -47809, -113301, -221271, -382339, -607125? -906249 What is the next term in 444, 1970, 6246, 14688, 28712, 49734, 79170, 118436? 168948 What comes next: 15379, 30717, 45985, 61141, 76143, 90949? 105517 What is next in -51791, -60014, -68237, -76460, -84683, -92906? -101129 What is next in -29847, -119410, -268683, -477666, -746359, -1074762, -1462875? -1910698 What is next in -568128, -568129, -568124, -568107, -568072, -568013, -567924, -567799? -567632 What is next in 4727, 18658, 41827, 74234, 115879? 166762 What is the next term in -50203616, -100407221, -150610814, -200814395, -251017964, -301221521, -351425066? -401628599 What is next in 1739615746, 1739615745, 1739615744, 1739615743? 1739615742 What is next in -27798, -111222, -250276, -444960, -695274? -1001218 What is next in -272828, -545666, -818506, -1091348, -1364192, -1637038, -1909886? -2182736 What is the next term in 752379, 1504767, 2257155, 3009543, 3761931? 4514319 What comes next: -12571248, -12571254, -12571260? -12571266 What is the next term in 2045, 500, -3691, -11848, -25291, -45340, -73315? -110536 What is the next term in -4411363, -4411364, -4411365, -4411366, -4411367, -4411368? -4411369 What comes next: -3374, -6572, -9450, -11852, -13622? -14604 What comes next: -13678589, -27357181, -41035773, -54714365, -68392957? -82071549 What is next in -108021, -108148, -108275, -108402, -108529, -108656? -108783 What comes next: -1176, -4716, -10524, -18522, -28632, -40776, -54876? -70854 What comes next: 67736, 270648, 608842, 1082324, 1691100? 2435176 What is the next term in
{ "pile_set_name": "DM Mathematics" }
y 777. 746 What is the remainder when 143835 is divided by 35956? 11 What is the remainder when 34038 is divided by 296? 294 Calculate the remainder when 15007 is divided by 112. 111 Calculate the remainder when 37265 is divided by 303. 299 Calculate the remainder when 5206 is divided by 1590. 436 Calculate the remainder when 13335 is divided by 830. 55 What is the remainder when 252122 is divided by 252119? 3 Calculate the remainder when 74350 is divided by 14861. 45 What is the remainder when 1057 is divided by 437? 183 Calculate the remainder when 2644991 is divided by 287. 286 Calculate the remainder when 112190 is divided by 838. 736 What is the remainder when 11706 is divided by 1070? 1006 What is the remainder when 129423 is divided by 11? 8 Calculate the remainder when 1268084 is divided by 181. 179 What is the remainder when 4183 is divided by 40? 23 What is the remainder when 5940 is divided by 691? 412 What is the remainder when 1257 is divided by 6? 3 What is the remainder when 45143 is divided by 1256? 1183 What is the remainder when 243085 is divided by 49? 45 What is the remainder when 216802 is divided by 14? 12 What is the remainder when 12761 is divided by 111? 107 What is the remainder when 569 is divided by 34? 25 Calculate the remainder when 3365 is divided by 416. 37 Calculate the remainder when 982 is divided by 364. 254 What is the remainder when 1598327 is divided by 49? 45 What is the remainder when 5149 is divided by 206? 205 Calculate the remainder when 1206617 is divided by 29. 14 What is the remainder when 11803 is divided by 420? 43 What is the remainder when 2446 is divided by 2444? 2 What is the remainder when 3382 is divided by 417? 46 What is the remainder when 25527 is divided by 392? 47 What is the remainder when 51386 is divided by 140? 6 What is the remainder when 5015 is divided by 84? 59 Calculate the remainder when 1984 is divided by 151. 21 What is the remainder when 8479 is divided by 185? 154 What is the remainder when 149638 is divided by 49878? 4 Calculate the remainder when 2717 is divided by 106. 67 What is the remainder when 2567 is divided by 215? 202 Calculate the remainder when 812 is divided by 511. 301 What is the remainder when 14152 is divided by 1761? 64 What is the remainder when 231690 is divided by 1609? 1603 Calculate the remainder when 161969 is divided by 30. 29 Calculate the remainder when 1888 is divided by 501. 385 What is the remainder when 1615 is divided by 467? 214 What is the remainder when 84043 is divided by 2401? 8 What is the remainder when 1971 is divided by 8? 3 Calculate the remainder when 545899 is divided by 408. 403 What is the remainder when 1090 is divided by 157? 148 Calculate the remainder when 9950 is divided by 263. 219 Calculate the remainder when 67859 is divided by 22616. 11 What is the remainder when 337669 is divided by 9? 7 Calculate the remainder when 12872 is divided by 4258. 98 What is the remainder when 13744 is divided by 1716? 16 Calculate the remainder when 33401 is divided by 92. 5 What is the remainder when 37824 is divided by 81? 78 Calculate the remainder when 633 is divided by 63. 3 Calculate the remainder when 3405 is divided by 1482. 441 Calculate the remainder when 9638 is divided by 567. 566 What is the remainder when 648 is divided by 92? 4 What is the remainder when 28394 is divided by 715? 509 Calculate the remainder when 8012 is divided by 24. 20 What is the remainder when 344661 is divided by 351? 330 Calculate the remainder when 27967 is divided by 38. 37 What is the remainder when 94981 is divided by 103? 15 Calculate the remainder when 1662 is divided by 338. 310 What is the remainder when 236158 is divided by 1243? 1231 Calculate the remainder when 3968 is divided by 26. 16 What is the remainder when 1910 is divided by 149? 122 What is the remainder when 81410 is divided by 20315? 150 What is the remainder when 239641 is divided by 724? 721 Calculate the remainder when 321077 is divided by 10. 7 Calculate the remainder when 53430 is divided by 292. 286 Calculate the remainder when 1458719 is divided by 90. 89 Calculate the remainder when 3826 is divided by 639. 631 Calculate the remainder when 64450 is divided by 74. 70 What is the remainder when 25406 is divided by 250? 156 Calculate the remainder when 651128 is divided by 190. 188 Calculate the remainder when 2198729 is divided by 30. 29 What is the remainder when 153428 is divided by 335? 333 Calculate the remainder when 7947 is divided by 1584. 27 Calculate the remainder when 5953 is divided by 36. 13 Calculate the remainder when 49552 is divided by 1377. 1357 Calculate the remainder when 397717 is divided by 40. 37 What is the remainder when 12775 is divided by 394? 167 What is the remainder when 109208 is divided by 12131? 29 Calculate the remainder when 81961 is divided by 31. 28 What is the remainder when 475 is divided by 418? 57 Calculate the remainder when 42107 is divided by 69. 17 What is the remainder when 46138 is divided by 652? 498 What is the remainder when 1602 is divided by 1371? 231 Calculate the remainder when 583568 is divided by 25. 18 What is the remainder when 46844 is divided by 118? 116 What is the remainder when 15152 is divided by 250? 152 Calculate the remainder when 9295 is divided by 542. 81 Calculate the remainder when 2818321 is divided by 21. 16 What is the remainder when 93583 is divided by 3011? 242 Calculate the remainder when 28659 is divided by 5731. 4 Calculate the remainder when 10341 is divided by 59. 16 What is the remainder when 76264 is divided by 54? 16 What is the remainder when 79250 is divided by 26407? 29 What is the remainder when 605 is divided by 383? 222 What is the remainder when 89088 is divided by 41? 36 Calculate the remainder when 281 is divided by 15. 11 Calculate the remainder when 3397 is divided by 127. 95 What is the remainder when 56756 is divided by 121? 7 What is the remainder when 9915 is divided by 455? 360 Calculate the remainder when 12254 is divided by 1748. 18 What is the remainder when 1435 is divided by 66? 49 What is the remainder when 216410 is divided by 1016? 2 What is the remainder when 183161 is divided by 267? 266 Calculate the remainder when 223590 is divided by 74529. 3 What is the remainder when 94847 is divided by 589? 18 Calculate the remainder when 1568 is divided by 264. 248 Calculate the remainder when 609 is divided by 599. 10 What is the remainder when 4132 is divided by 88? 84 What is the remainder when 49616 is divided by 49589? 27 What is the remainder when 693254 is divided by 15? 14 What is the remainder when 668 is divided by 59? 19 Calculate the remainder when 9205 is divided by 815. 240 Calculate the remainder when 649214 is divided by 64. 62 Calculate the remainder when 330940 is divided by 4189. 9 What is the remainder when 7282 is divided by 17? 6 Calculate the remainder when 744 is divided by 338. 68 Calculate the remainder when 4128 is divided by 4062. 66 What is the remainder when 3052 is divided by 303? 22 What is the remainder when 18544 is divided by 33? 31 What is the remainder when 45423 is divided by 3781? 51 What is the remainder when 194577 is divided by 200? 177 Calculate the remainder when 1074 is divided by 871. 203 What is the remainder when 59939 is divided by 97? 90 Calculate the remainder when 46283 is divided by 11560. 43 Calculate the remainder when 4569 is divided by 124. 105 Calculate the remainder when 42665 is divided by 405. 140 What is the remainder when 10717 is divided by 62? 53 Calculate the remainder when 1653 is divided by 1486. 167 What is the remainder when 76055 is divided by 25349? 8 Calculate the remainder when 4052 is divided by 1113. 713 Calculate the remainder when 164829 is divided by 10. 9 Calculate the remainder when 214418 is divided by 8. 2 What is the remainder when 20188 is divided by 77? 14 Calculate the remainder when 27750 is divided by 117. 21 Calculate the remainder when 93560 is divided by 31168. 56 Calculate the remainder when 28439 is divided by 224. 215 What is the remainder when 13585 is divided by 122? 43 What is the remainder when 2007 is divided by 10? 7 What is the remainder when 1408 is divided by 688? 32 Wha
{ "pile_set_name": "DM Mathematics" }
20 = i. Let a = -8 - -6. Let j be -2 + 2 - (a - 42). What is the highest common divisor of j and i? 4 Let s = 2 - -1. Let d be s + -2 + 25 + -2. Let l = -40 - -100. What is the greatest common divisor of d and l? 12 Let z = 45 + -33. What is the highest common divisor of z and 24? 12 Let x be ((-3)/9)/(1/(-3)). Suppose 4 = 4*q - 2*q. Suppose 2 = q*s - 2. Calculate the highest common factor of x and s. 1 Let p(k) = -k**3 + 4*k**2. Let t be p(4). Suppose t*z - 20 = -2*z. Calculate the greatest common factor of z and 20. 10 Let v be 2/(-3) + 392/(-6). Let l(g) = -2*g - 3. Let z be l(-11). Let o = z - v. What is the highest common factor of o and 34? 17 Let v be (-3)/9 - 29/3. Let x = v + 23. Calculate the greatest common factor of x and 143. 13 Suppose 5*z = -5*o + 68 + 82, -4*o - 5*z + 125 = 0. What is the greatest common divisor of o and 25? 25 Suppose 0*s + 104 = s - 4*d, -5*s + 2*d + 448 = 0. Calculate the highest common factor of 8 and s. 8 Suppose s = 5*u + 3, 0*s - 9 = -3*s - 3*u. Suppose s*q = 4*q - 2. What is the greatest common factor of q and 2? 2 Let r(o) = -5*o**2 + 39*o + 11. Let q(f) = 2*f**2 - 13*f - 4. Let x(v) = 11*q(v) + 4*r(v). Let t be x(-10). Calculate the greatest common factor of t and 10. 10 Let v = 18 - 4. Let b = v - -8. Calculate the greatest common divisor of 33 and b. 11 Let b be 3 - 8/2 - -32. What is the highest common divisor of b and 124? 31 Suppose 0 = -3*f - 2 + 20. Let i = 21 - 15. Calculate the greatest common factor of f and i. 6 Suppose -272 = -4*y + 2*y. Let n = 8 + -13. Let z = n - -22. Calculate the highest common divisor of y and z. 17 Suppose -163 + 55 = -g. Calculate the highest common divisor of 18 and g. 18 Let o(r) = r**3 + 12*r**2 + 10*r + 6. Let t be o(-11). Let g = t + 19. What is the highest common factor of 9 and g? 9 Let n = 145 + -97. Calculate the greatest common divisor of n and 12. 12 Suppose 31 + 32 = 7*v. What is the greatest common factor of 63 and v? 9 Let h = 17 - 6. Calculate the greatest common divisor of h and 22. 11 Suppose 5*d = 8*d - 42. What is the greatest common factor of d and 98? 14 Let z(b) = -136*b + 4. Let x be z(-1). Calculate the highest common factor of x and 20. 20 Let g(x) = -49*x + 2. Let b be g(-2). Let q(m) = 2*m**2 - m - 5. Let l be q(5). What is the greatest common factor of b and l? 20 Suppose r - 42 = -0*r. Calculate the highest common divisor of r and 21. 21 Suppose 64 = 4*r - 0*r. Suppose 4*n + r = 0, 0*y + 3*n = y - 35. Suppose -3*v = -y - 19. What is the highest common divisor of v and 112? 14 Let s(z) = -49*z**3 + 2*z - 1. Let w be s(1). Let h = w + 80. Let i be 1/(1/(-1))*-8. What is the highest common factor of h and i? 8 Let x(u) = u**3 - 2*u**2 - 2*u - 2. Let v be x(3). Let c be 88*(7/4 - v). Let t be (-80)/(-14) - (-2)/7. What is the highest common divisor of t and c? 6 Suppose 0 = -3*p - 4*w + 239, -4*w + 3 - 19 = 0. What is the greatest common divisor of p and 34? 17 Suppose 2*z = -3*z + 120. What is the highest common factor of 48 and z? 24 Let i = -6 - -11. Suppose 5*s + 73 = i*a - 7, a + 5*s - 28 = 0. Let v = 355 - 229. Calculate the highest common factor of v and a. 18 Suppose 8*p - 13*p + 360 = 0. Calculate the greatest common factor of 18 and p. 18 Suppose -8*o = -6*o - 242. What is the highest common factor of o and 11? 11 Let b(g) be the third derivative of g**6/120 - g**5/15 + 7*g**4/24 - g**3/3 - 3*g**2. Let n be b(6). Calculate the greatest common factor of n and 14. 14 Suppose 0*k - 20 = -4*k. Suppose 2*c - 460 = -2*c. Suppose 0 = 5*x + 5*o - c, -2*x + 0*x + o = -37. Calculate the highest common factor of k and x. 5 Let s(u) = 2*u - 5. Let j be s(4). Let t(h) = -h**3 + 7*h**2 + h - 5. Let c be t(j). What is the greatest common divisor of c and 85? 17 Let z = -28 + 44. Let k(d) = d**2 - d + 6. Let j be k(7). Calculate the greatest common divisor of j and z. 16 Suppose 507 = -0*r + 3*r - 5*n, 2*r - 3*n = 339. Let o be 9/(-21) - r/(-14). Calculate the greatest common factor of 84 and o. 12 Suppose 5*u + 4*w = 220, 5*u - 223 = 2*w - 3. Let v(d) = -d**3 + 7*d**2 + 10*d - 4. Let a = 1 - -6. Let i be v(a). What is the highest common factor of i and u? 22 Suppose 822 = 4*z - 0*z + 5*l, 2*z + 2*l - 412 = 0. What is the greatest common divisor of 26 and z? 26 Let p(t) = 10*t + 7. Let g be p(3). Calculate the greatest common divisor of g and 148. 37 Let s be (-1)/(-2 + 0)*6. Let h(d) = 13*d**2 + 4. Let b be h(s). What is the highest common divisor of b and 11? 11 Let k = -162 + 232. Calculate the highest common factor of k and 10. 10 Suppose -24*b = -26*b + 144. What is the greatest common divisor of b and 18? 18 Let k = 228 + -103. Suppose -7*f + 2*f = -5, -5*f - k = -5*w. Calculate the highest common divisor of 26 and w. 26 Suppose 0 = -5*i - 7*t + 4*t + 24, -i - 4*t + 15 = 0. Suppose -m = -k - 22, 0 = 2*m - 5*m - i*k + 78. What is the greatest common divisor of m and 36? 12 Let y be 4/(-14) + (-1104)/(-42). What is the highest common factor of 65 and y? 13 Suppose -4*c = -6*c + 4. Let t(n) = -n**2 - 3*n - 6. Let b be t(6). Let f be ((-12)/(-5))/((-9)/b). What is the greatest common divisor of f and c? 2 Let l be (63 - 0) + (6 - 5). Let a = l + -31. Calculate the highest common factor of 3 and a. 3 Let g be -24*(-2 - 3/12). Calculate the greatest common divisor of 6 and g. 6 Let w(a) = a**3 + 4*a**2 + a + 1. Let u be w(-3). What is the highest common divisor of u and 56? 7 Suppose h = 5*h - 20, 13 = r - h. Calculate the highest common divisor of r and 6. 6 Suppose 0 = 5*o - 2*h + 28, -3*h = -0*o - 5*o - 32. Let r = o + 7. Suppose -t + r + 12 = 0. Calculate the highest common factor of t and 3. 3 Let y(n) = -9*n - 9. Let p be y(-7). Calculate the greatest common divisor of p and 18. 18 Let m = -23 - -34. What is the highest common divisor of 55 and m? 11 Suppose -4*u = u - 5400. Let h be ((-1)/(-2))/(3/u). Suppose 2*i - 3*w = -0*w + 124, 0 = -3*i + 3*w + h. What is the highest common factor of i and 8? 8 Let x(c) = -c**3 - 3*c**2 + 7*c - 1. Let o be x(-5). What is the greatest common factor of 56 and o? 14 Let f = -12 + 23. Suppose 48 + 304 = 4*i. Suppose -4 = -r, 3*r - 276 + i = -2*p. Calculate the highest common divisor of f and p. 11 Suppose 0*v - 225 = -5*a + v, 4*a = 4*v + 164. Suppose 0 = 5*b - f - 233 - a, -5*f = -3*b + 185. What is the highest common factor of 11 and b? 11 Let b(n) = 50*n**3. Let k be b(1). Let h be ((-4)/(-3))/((-1)/(-15)). What is the highest common factor of h and k? 10 Suppose 3*i - 78 = -3*i. Calculate the highest common divisor of 195 and i. 13 Let l(k) = -3*k + 4. Let h be l(-2). Let v = -104 - -174. Calculate the highest common factor of v and h. 10 Let a be 1/6 - 3269/(-42). Suppose a = 3*t - 3*p - 0*p, 5*p - 68 = -4*t. What is the highest common factor of t and 2? 2 Suppose 4*h = 3*t - 62, 3*t - 7 = h + 40. What is the highest common factor of t and 70? 14 Suppose 0 = q - 22 - 60. Suppose 3*j - q = -19. What is the highest common divisor of j and 14? 7 Suppose r - 115 = -4*r. Suppose 4*p = 33 + r. What is the greatest common factor of 126 and p? 14 Suppose -2*w - 5*z - 307 = -5*w, -190 = -2*w - 4*z. Calculate the highest common divisor of 11 and w. 11 Let x(b) = -b**3 + 3*b**2 + 4. Let d be x(3). Let y be 25 + (3 - 1 - -1). What is the highest common divisor of y and d? 4 Let t be (83/(-2))/((-1)/(-4)). Let y be 2/(216/109 + -2). Let a = y - t. Calculate the greatest common divisor of 38 and a. 19 Suppose 84 + 87 = 9*v. Calculate the highest common divisor of 209 and v. 19 Suppose -4*u - 2 = -62. Suppose 2*n + n = -i + 8, i = 3*n - 10. Suppose 159 = n*j + 24. Calculate the greatest common divisor of j and u. 15 Suppose 2*z + 2*z = 128. Calculate the greatest common factor of z and 4. 4 Let a = -7 + 11. Let v be (0/(-2) - 1)/(1 - 2). What is the greatest common divisor of v and a? 1 Suppose -12 = -0*s - 4*s. Let m be 75/12 - (-3)/(-12). Calculate the greatest common factor of s and m. 3 Let i = 77 + -44. Calculate the highest common factor of 165 and i. 33 Let c be ((-348)/10)/(6/(-20)). What is the greatest common divisor of c and 29? 29 Suppose 4*d + 167 = 787. What is the greatest common factor of d and 62? 31 Suppose 2*h - 20 = y, 3*h = y - 0*y + 30. Let n be (112/(-20))/((-4)/h). Calculate the highes
{ "pile_set_name": "DM Mathematics" }
f p**6/360 + 11*p**5/60 + 157*p**4/36 + 112*p**3/3 + 13*p**2 - 221*p. Factor n(q). (q + 3)*(q + 14)*(q + 16)/3 Let t be -15*42/(-63)*20/1. Suppose -5*u + 2 = -8. Factor 4 + 0*r**2 + r**u + 205*r - t*r. (r + 1)*(r + 4) Factor -3*a + 27/4 + 1/4*a**2. (a - 9)*(a - 3)/4 Let k(n) be the second derivative of -n**4/48 + 7*n**3/12 - 49*n**2/8 - 1778*n. Factor k(o). -(o - 7)**2/4 Let x(o) be the third derivative of -o**5/270 - 1571*o**4/108 + 716*o**2. Factor x(m). -2*m*(m + 1571)/9 Let i be 2/7*-3*(-42)/9. Suppose -28 = -v - 3*x, v + i*x = 5*v - 48. Find w, given that -14*w**3 - v*w**3 + 32*w**3 - 2*w**4 = 0. 0, 1 Determine v so that v**3 - 135439*v**2 - 191539751 - 4*v**3 + 3827432 + 131866*v**2 - 1418481*v = 0. -397 Let c(k) = -k**2 + 7*k - 10. Let l be c(3). Find f such that -3*f**3 - 787*f**2 + 403*f**l + 414*f**2 = 0. 0, 10 Let y(x) = -5*x**2 + 3*x + 2. Let b(r) = 36*r**2 - 2539*r + 1585067. Let o(j) = -3*b(j) - 21*y(j). Solve o(d) = 0 for d. 1259 Let x be (-11)/33 + (-21)/(-9). Determine k, given that -k - 24*k - 2*k**x + 2*k**2 + 6 + 3*k**2 + 4*k**3 = 0. -3, 1/4, 2 Let c be ((-1717)/(-187) - 7) + (-4)/22. Factor 15/4*b + 7/4 - 7/2*b**3 - 9/4*b**4 - 1/4*b**5 + 1/2*b**c. -(b - 1)*(b + 1)**3*(b + 7)/4 Let f(s) = -4*s + 52. Let p(q) = -q + 17. Let z(b) = -2*f(b) + 7*p(b). Let l be z(-13). Let -2/5*y + 0 - 14/5*y**l = 0. Calculate y. -1/7, 0 Let h = 6963/2 - 3480. Let s(i) be the first derivative of 16/9*i**3 - 16/15*i**5 - h*i**4 + 5/9*i**6 - 2 + 4/3*i**2 + 0*i. Let s(x) = 0. Calculate x. -1, -2/5, 0, 1, 2 Suppose -140*p = -139*p - 126. What is k in -462 - 13*k - 77*k - 5*k**2 + p - 69 = 0? -9 Let f(o) be the third derivative of -o**5/75 + 317*o**4/10 + 1904*o**3/15 + 8815*o**2. Find p such that f(p) = 0. -1, 952 Let c(h) = 7*h**2 - 5*h - 898. Let b(y) = 155*y**2 - 110*y - 19750. Let l(d) = 2*b(d) - 45*c(d). Factor l(n). -5*(n - 14)*(n + 13) Factor -362*i - 515*i + 776*i + 101*i**3 + 99*i**2 + i**4 - 100. (i - 1)*(i + 1)**2*(i + 100) Let -19 - 2748*o**2 - 37 - 62*o + 2807*o**2 - 7*o**3 = 0. What is o? -4/7, 2, 7 Suppose -t - 46 + 94 = 4*x, 3*x - 36 = t. Factor 2/3*y**4 + 8/3*y**3 + 0*y + t + 2*y**2. 2*y**2*(y + 1)*(y + 3)/3 Let s(x) be the first derivative of x**4/12 - 769*x**3/3 + 591361*x**2/2 - 454756609*x/3 - 1902. Factor s(r). (r - 769)**3/3 Let g(w) = -7*w**3 - 19*w**2 - 2*w + 19. Suppose -23*s - 140 = -33*s. Let y(o) = 32*o**3 + 94*o**2 + 10*o - 94. Let m(z) = s*g(z) + 3*y(z). Factor m(v). -2*(v - 8)*(v - 1)*(v + 1) What is r in 0 - 12*r - 4*r**4 + 4*r**2 + 1/3*r**5 + 35/3*r**3 = 0? -1, 0, 1, 6 Suppose 0*w**2 + 149/3*w**4 + 0*w + 0*w**3 + 0 - 1/3*w**5 = 0. Calculate w. 0, 149 Let a = 24125 + -603109/25. Let g(n) be the first derivative of -6/5*n - a*n**5 - 17/5*n**2 - 36 - 27/10*n**4 - 22/5*n**3. Suppose g(w) = 0. What is w? -1, -3/8 Let p(d) be the first derivative of -d**6/2 + 3*d**5/5 + 15*d**4/2 - 4*d**3 - 36*d**2 - 1672. Determine n, given that p(n) = 0. -2, 0, 2, 3 Let n(p) be the third derivative of -2*p**7/315 + 59*p**6/360 - 257*p**5/180 + 67*p**4/18 + 14*p**3/3 - 10273*p**2. Solve n(q) = 0 for q. -1/4, 2, 6, 7 Suppose 110*s - 115*s = 5*u + 45, 5*u = -55. Solve -2/5*j**s + 6*j + 32/5 = 0 for j. -1, 16 Let c(v) be the third derivative of v**5/510 + 37*v**4/68 - 826*v**3/51 - 5*v**2 - 2*v - 227. Suppose c(k) = 0. Calculate k. -118, 7 Let s(v) be the first derivative of 62/5*v - 2/15*v**3 + 6*v**2 - 91. Determine y, given that s(y) = 0. -1, 31 Let h = 6 - 2. Let w(l) = -169*l - 1519. Let i be w(-9). Solve 54*o**2 - 8*o - 14*o**i - 20*o**3 + 72*o**5 - 132*o**h - 4 + 52*o**3 = 0 for o. -1/3, 1/2, 1 Suppose 37*o - 212 = -131*o + 124. Factor -1/5*s + 0 - 16/5*s**o. -s*(16*s + 1)/5 Let i(j) be the second derivative of -j**7/63 + 4*j**6/45 + j**5/6 - 10*j**4/9 - 4*j**3/9 + 16*j**2/3 + 4085*j. Solve i(q) = 0. -2, -1, 1, 2, 4 Find n, given that 208/9 + 2/9*n**2 + 20/3*n = 0. -26, -4 Let x = -1006446/11 - -7516373/77. Let g = 6133 - x. Factor -27/7*r**5 + 1/7 + 81/7*r**4 - 11/7*r - g*r**3 + 46/7*r**2. -(r - 1)**2*(3*r - 1)**3/7 Let c(l) be the third derivative of -l**7/105 - 3*l**6/40 + 23*l**5/60 + l**4 - 21*l**2. Let j(n) = -n**3 + n**2. Let s(y) = 2*c(y) - 14*j(y). Factor s(q). -4*q*(q - 3)*(q + 2)**2 Let y = 2/467173 + 5606066/2335865. Factor 0 - 1/5*a**2 - y*a. -a*(a + 12)/5 Let u(r) be the second derivative of 44*r**3 - 9 + 3/100*r**5 + 726/5*r**2 - 43/20*r**4 - r. Factor u(b). 3*(b - 22)**2*(b + 1)/5 Factor 37260*h**3 + 320*h + 3710*h**2 + 2450*h**2 - 426566*h**5 + 328151*h**5 + 54675*h**4. -5*h*(h - 1)*(27*h + 4)**3 Let q(p) = -7*p**3 + 138*p**2 - 483*p + 475. Let f(b) = -3*b**3 + 68*b**2 - 242*b + 238. Let z(l) = -5*f(l) + 2*q(l). Factor z(n). (n - 60)*(n - 2)**2 Let i(g) be the second derivative of g**6/15 - 73*g**4/6 + 24*g**3 + 2896*g. Factor i(x). 2*x*(x - 8)*(x - 1)*(x + 9) Let r(f) = 13*f + 720. Let w be r(-55). Let l(s) be the first derivative of 3/5*s + w + 4/15*s**3 + 13/10*s**2. Factor l(k). (k + 3)*(4*k + 1)/5 Let k(o) = -o**3 + 26*o**2 - 52*o + 100. Let i be k(24). Let p(b) be the second derivative of 0*b**2 - 1/5*b**3 + 1/20*b**i + 26*b + 0. Factor p(v). 3*v*(v - 2)/5 Determine q so that -18/13 - 6/13*q**2 - 56/13*q = 0. -9, -1/3 Let f(y) be the second derivative of -y**6/6 - 13*y**5/4 + 335*y**4/12 - 115*y**3/6 - 255*y**2 - 56*y. What is g in f(g) = 0? -17, -1, 2, 3 Factor -114 - 225/2*l**2 - 3/4*l**3 + 909/4*l. -3*(l - 1)**2*(l + 152)/4 Let u(j) be the first derivative of -2/15*j**5 - 26/3*j - 87 - 4*j**2 + 28/9*j**3 + 2*j**4. Let u(y) = 0. What is y? -1, 1, 13 Let s be 5 - (8 + (-7610)/2530). Let z = s + 751/1012. Determine l so that -15/4*l + 3*l**2 - z*l**3 + 3/2 = 0. 1, 2 Let h be (-8 + 1)*2*(-2)/4. Suppose 0 = -0*s - 5*s. Factor 2*c**3 + 5*c - h*c + s*c. 2*c*(c - 1)*(c + 1) Let y(s) = s**3 - 16*s**2 + 30*s - 8. Let f be y(14). Suppose -3*i**3 - 21*i**2 - 3*i**4 + 1727*i - 1736*i + f*i**3 = 0. What is i? -1/3, 0, 3 Let k(y) be the second derivative of y**4/60 + 29*y**3/30 - 31*y**2/5 - 248*y. Let k(q) = 0. What is q? -31, 2 Let v(q) be the third derivative of 1/10*q**6 + 0 + 109/72*q**4 + 53*q - 1/2*q**3 - 28/15*q**5 - q**2. Factor v(i). (i - 9)*(6*i - 1)**2/3 Let p = 3567 - 3565. Let j(r) be the third derivative of 0 + 1/160*r**5 + 0*r**4 + 1/960*r**6 + 9*r**p + 0*r + 0*r**3. Let j(q) = 0. What is q? -3, 0 Let t(x) = -9*x**3 + 1512*x**2 + 3023*x + 1518. Let n(o) = 10*o**3 - 1515*o**2 - 3025*o - 1520. Let s(d) = 4*n(d) + 5*t(d). Factor s(j). -5*(j - 302)*(j + 1)**2 Let y(g) be the first derivative of 4*g**5/5 + 58*g**4 + 1348*g**3/3 - 29232*g**2 + 254016*g + 1953. Suppose y(t) = 0. Calculate t. -36, 7 Let v(n) = -20*n**4 - 40*n**3 - 35*n**2 - 10*n - 30. Let j(b) = 11*b**4 + 20*b**3 + 17*b**2 + 6*b + 18. Let k(o) = 5*j(o) + 3*v(o). Solve k(l) = 0 for l. -2, 0 Find c, given that -6*c**4 + 16918*c**3 + 378*c + 647*c - 15996*c**3 - 1200 - 3324*c**2 + 2583*c = 0. 2/3, 1, 2, 150 Let i(g) be the second derivative of -g**6/810 + g**4/54 - 7*g**3/2 - g**2/2 - 25*g. Let q(l) be the second derivative of i(l). Find s, given that q(s) = 0. -1, 1 Let d = 40 + 11. Let w = d + -52. Let r(f) = f**5 - f**4 + f + 1. Let x(u) = -3*u**5 + 4*u**4 + 2*u**3 - 4*u**2 - 3*u. Let b(j) = w*x(j) - 2*r(j). Factor b(y). (y - 2)*(y - 1)**2*(y + 1)**2 Let z(r) be the first derivative of 2/17*r**2 - 40 - 2/51*r**3 + 6/17*r. What is d in z(d) = 0? -1, 3 Let b(i) = -i - 46. Let o(u) = -47. Let w(n) = -3*b(n) + 4*o(n). Let q be w(20). What is y in 12 - 18*y**2 + 21*y**2 + 9*y - 14*y - q*y = 0? 1, 4 Suppose 992 - 172 = 22*z + 142*z. Let x(q) be the first derivative of -4/5*q**z - 4/3*q**2 - 13/6*q**4 - 18 - 1/9*q**6 + 0*q - 8/3*q**3. Factor x(n). -2*n*(n + 1)**2*(n + 2)**2/3 Let l(w) be the third derivative of w**8/7560 + w**7/3780 - w**6/1620 - w**5/540 - 7*w**3/3 - 68*w**2. Let u(f) be the first derivative of l(f). Factor u(m). 2*m*(m - 1)*(m + 1)**2/9 Let o(l) be the third derivative of l**6/200 + 19*l**5/25 - 6529*l**2. Factor o(k). 3*k**2*(k + 76)/5 Let r = -392806 + 2749646/7. Find x such that -4/7*x**4 - 2/7*x**5 - 2*x - r*x**2 + 8/7 + 16/7*x**3 = 0. -4, -1, 1 Let w(q) be the third derivative of q**6/24 - 11*q**5/12 - 5*q**4/24 + 55*q**3/6 - 1795*q**2. Suppose w(v) = 0. Calculate v. -1, 1, 11 Let z be 128/20 - 2 - (-4)/(-10). Factor 11952*b**
{ "pile_set_name": "DM Mathematics" }
+ 0*r + c = 0. Is r composite? False Let x(k) = 2*k - 4. Let g be x(4). Suppose -t + 3*l - g + 8 = 0, t = -4*l + 11. Suppose -3*u = -t*u + 172. Is u a composite number? False Let v = 5 + -3. Let t(a) = -10*a**3 + 2*a**2 - 4*a + 1. Let i(l) = -9*l**3 + 2*l**2 - 5*l. Let y(o) = v*i(o) - 3*t(o). Is y(2) prime? True Let l be (-15)/(-10) + (-1553)/(-2). Suppose -a + 3*d = -152, 2*a - 7*a + l = 3*d. Is a a prime number? False Let f(s) = -6*s - 5. Is f(-6) prime? True Let z(k) = k + 97. Is z(0) composite? False Is (-62)/(3 + (-35)/11) prime? False Let g be (-1)/((-31)/10 - -3). Suppose -6*p = -g*p - 12. Is (-3)/(p/(-61))*-2 a prime number? False Let t(m) = -14*m**3 - 2*m**2 + 2*m - 1. Let z be t(1). Let j = -115 - -169. Let s = j + z. Is s prime? False Let k be -2 + 3/2*2. Let x be (21/(-6)*-2)/k. Is 438/14 + (-2)/x composite? False Let w = 301 + -140. Is w prime? False Let i be (-140)/21*3/(-2). Is 14/35 + 216/i a prime number? False Suppose 0 = -3*g - 2*g + 290. Is g prime? False Let j = 49 - 27. Is j a prime number? False Let o(g) = -205*g**3 - g**2 + g - 4. Let v(k) = 410*k**3 + 2*k**2 - 3*k + 9. Let l(j) = 7*o(j) + 3*v(j). Is l(-1) a composite number? True Suppose -5*a - 12 = 8, 3*a = 5*l - 16117. Suppose -4*g = -5*s + l, s - 676 = 2*g - 27. Is s prime? True Let c(b) = 10*b**2 - 7. Is c(6) composite? False Let f(d) = d**3 + 30*d**2 + 28*d + 22. Is f(-21) a composite number? True Let j(r) = -171*r**3 + 3*r**2 + r - 4. Is j(-3) composite? False Suppose -5*k = -11 - 104. Let z = k + 26. Is z composite? True Let t(f) = -3*f. Suppose -7*j + 2*j - 5 = 0. Let d be t(j). Suppose 0 = -5*s - 2*y + 711, 2*y = -d*y + 15. Is s composite? True Suppose -8*z + 9 = -5*z. Suppose z*f - 179 - 178 = 0. Is f a composite number? True Suppose -21*i + 18*i = -1029. Let h = i + -106. Is h prime? False Let p = 13211 + -5218. Is p a prime number? True Is 142/14 + (-8)/56 a prime number? False Suppose -10 = -4*l - 2. Suppose 0 = r + 5*p + 139, -r = l*r - 5*p + 457. Let m = -72 - r. Is m composite? True Let a(v) = -v**3 + 127. Is a(0) composite? False Let t(j) = -j**3 - 4*j**2 + 2*j + 2*j**3 + 2 + 1 + 0*j. Is t(4) a prime number? True Let s = 12 + 120. Suppose s = h + 2*h. Is h/6 - 1/3 prime? True Suppose -4*q - 3524 = 5*m - 334, 3*q = -3*m - 2394. Let p = q + 1237. Is p prime? False Suppose -6*m = -5*m - 207. Let p = m + -38. Is p prime? False Let u(s) = 9*s**2 - 4*s - 2. Suppose 28 = 4*j + d, 11 = 4*j + 3*d - 9. Let i = -11 + j. Is u(i) a prime number? False Let d(w) be the second derivative of w**3/6 - w**2 + w. Let r be d(6). Suppose 149 = r*k - 63. Is k a prime number? True Let h(f) = 13*f + 1754. Is h(0) a prime number? False Is 1842 + -1 + (4 - 4) a prime number? False Is 1/((-9267)/(-13887) + 6/(-9)) a prime number? True Let z = 271 - 150. Is z composite? True Let s(j) = 32*j + 6. Let m be s(6). Let c = m + -130. Suppose -4*u + 32 + c = 0. Is u a prime number? False Let n(b) = 42*b - 7. Is n(5) a composite number? True Let g be (76/10)/((-3)/(-45)). Let h = g - 63. Is h a composite number? True Let i = 2402 + -1341. Is i a composite number? False Suppose -z + 955 = 4*z. Is z composite? False Suppose -4*t + 802 + 378 = 0. Is t composite? True Let m = 183 + -114. Is m prime? False Suppose -2*m = -9 - 11. Let r be (-4)/m + 1246/(-35). Let o = r + 121. Is o a composite number? True Let y = 1756 - 642. Is y a composite number? True Suppose 5*s + 9 = 4*j - 9, j - 6 = 2*s. Is 28/j*22/4 composite? True Suppose k + 3*k + 8 = 0. Let t be 95/k - 3/(-2). Let o = t - -81. Is o a prime number? False Suppose 3*s + 110 = 3*a + 2*a, a - 2*s - 29 = 0. Is a composite? False Let v = 41 - -55. Suppose -99 = -3*i + v. Is i composite? True Let j(u) = u**3 - 12*u**2 + u + 12. Suppose -3*t + 36 = -0*t. Let l be j(t). Suppose 113 = d + l. Is d a composite number? False Let p be (0 - -3)*(-8)/6. Let t be 2 - (p - 0) - 2. Suppose -3*a = 15, -a = d - t*d + 68. Is d a prime number? False Let p = 792 + -559. Is p a composite number? False Let c = -303 - -620. Is c prime? True Suppose -3*g = -3*o + 14 - 473, 158 = g + 4*o. Let a = -5 + g. Is a composite? False Let h(g) = 6*g**3 - 2*g**2 + 1. Let q be h(1). Suppose -52 = -2*w - q*t + 75, -5*t = -2*w + 157. Is w prime? True Is ((-3)/(-6))/((-3)/(-2958)) a composite number? True Let v be 4/(-2) - 0/(-4). Let h(c) = 2*c**2 + 2*c. Let b be h(v). Suppose b = -3*l + 73. Is l a composite number? False Suppose 4*j + 81 = -3*o, -2*o + 18 = -4*j - 68. Is (-3)/((-1)/(j/(-9))) prime? True Let o(u) = 18*u**3 + 7*u**2 - 3. Let y(p) = 6*p**3 + 2*p**2 - 1. Let b(w) = 4*o(w) - 14*y(w). Let x be b(-2). Let r = -65 + x. Is r a composite number? True Suppose 3*o + 0*i - 775 = 4*i, 5*i + 1033 = 4*o. Is o a composite number? False Let q = -27 + 37. Is q prime? False Let r(g) be the third derivative of -5*g**4/24 + 2*g**3/3 - g**2. Let a be 5/1*36/(-60). Is r(a) composite? False Let h = 1116 - 425. Is h composite? False Suppose a - 5 - 14 = 2*n, 0 = 3*a - 2*n - 37. Suppose w - 10 = 2*r, 24 - a = -3*w - 3*r. Suppose w = -p - g + 124, 4*p - 3*g - 475 = -0*p. Is p composite? True Let i(s) = 5*s + 43. Let h(w) = w. Let o(j) = -6*h(j) + i(j). Is o(0) a composite number? False Suppose 4*z = 3*z + 142. Suppose -174 = -2*q - j, -5*j + z - 37 = q. Is q composite? True Is 20/30 + 1982/6 composite? False Let s(q) = 1. Let a(t) = -12*t + 6. Let y(v) = a(v) - 5*s(v). Is y(-3) a composite number? False Is (-145)/20*212*-1 a prime number? False Let w(q) = -48*q - 1. Suppose 4*t = 7*t. Let b = -2 + t. Is w(b) prime? False Suppose 11*p = 21*p - 2530. Is p a composite number? True Let t(z) = 4*z**3 - 3*z**2 - z + 2. Let b be t(6). Let l = b - 447. Is l prime? False Let m(i) = -i - 15. Let n be m(-9). Is n/(-30) - (-768)/10 prime? False Let l = 32 + 137. Is l prime? False Let k(o) = 1. Let x(b) = -b**2 + 18*b - 1. Let t(w) = 3*k(w) - x(w). Let i(q) = -q**2 + 17*q - 3. Let m(n) = 6*i(n) + 5*t(n). Is m(8) a composite number? True Let m(v) = 3*v - 1. Let t be m(7). Is (-1272)/(-10) - 4/t a prime number? True Suppose -4*r = r - 10. Suppose -4*l + 399 = -3*v - 4, 4*l - 378 = -r*v. Is l a composite number? False Let w = -6 + 8. Suppose -5*f = -2*f + 4*h - 17, -f = w*h - 7. Is f prime? True Let m(x) = -x**3 - x**2 + 2*x. Let a be m(3). Let w be ((-4)/8)/(1/a). Is (-10)/w - (-94)/6 a composite number? True Suppose 2*c - 11 = -5*i, -3*c = -3*i + c + 17. Suppose n + i*p = 23, 4*n - 86 = -p + 6. Is n composite? False Let x = -52 + 29. Let t = 45 + x. Is t composite? True Suppose 0 = h + 3*a - 4169, -3*a - 16728 = -4*h - 2*a. Is h a composite number? True Suppose 5*s + 3*l - 1270 = -315, -s = -4*l - 191. Is s prime? True Suppose -3*x + 197 + 142 = 0. Is x a prime number? True Suppose -2*a - 5*t + 2257 = 0, -a + 601 = -4*t - 560. Is a prime? False Let a(f) = -24*f - 1. Let s(k) = k**3 + 16*k**2 + 17*k + 22. Let c be s(-15). Is a(c) a composite number? False Let g = -7 - -404. Is g a composite number? False Suppose 1364 = 5*w - w - 2*o, -3*w - 5*o = -1023. Is w a composite number? True Let n be -1*(-6)/(-3)*-1. Suppose 0 = n*r + 5*l - 94, 0*r - l - 232 = -4*r. Is r prime? False Let g(r) = -8*r + 7. Let v(l) = -4*l + 3. Let h(c) = -2*g(c) + 5*v(c). Let d be h(-3). Let u = d - 2. Is u prime? True Suppose -7612 = -4*q + 4864. Is q prime? True Suppose k + k - 10 = 0, 3*b + 3*k = 618. Suppose g = -0*g + b. Is g a composite number? True Suppose 2*b = -2*r + 34, -4*r - 39 = 3*b - 108. Let u = r + 4. Is u a composite number? True Suppose 4*b = -b + 2*t + 182, 2*b = -5*t + 67. Let o be (4/(-3))/(((-15)/9)/5). Suppose 0*u - 18 = -2*v - 5*u, 0 = 2*v - o*u - b. Is v composite? True Is 6/(-12) - 598/(-4) a composite number? False Let n(d) be the first derivative of -2 - 1/2*d**2 + 82*d. Is n(0) a composite number? True Let w(j) = 44*j**2 + j + 12. Is w(5) a composite number? False Let k = 217 - 144. Suppose 101 + k = 2*b. Is b a prime number? False Suppose 0*r + 2*r = 0. Suppose 3*o + o - 16 = r. Let i = o - -3. Is i a composite number? False Suppose 2*v + y - 254 = 0, 67 - 575 = -4*v - 3*y. Is v a prime number? True Let b = 888 - 149. Is b a composite number? False Suppose 6 = -2*t, 18 = 3*k - 5*t + 2*t. Suppose k - 2 = 3*n - g, -5*n - 5*g = -35. Let a = n + 75. Is a a prime number? False Let z(k) = k**2 - 2*k
{ "pile_set_name": "DM Mathematics" }
7*q - 34 in the form g + t*q and give t. 9 Express l**2 + 2*l + 0*l**2 - 4*l + (-4 + 0 + 5)*(-3 + 3 + 2*l**2) - 5 - 5*l**2 + 5 - 4*l**2 + 6*l**2 - l**2 as u + m*l**2 + d*l and give d. -2 Rearrange -4*j**4 - 1137 + 2*j**3 + 37*j + 1138 + 2*j**4 to v*j**4 + r + i*j**2 + y*j + k*j**3 and give v. -2 Express -3 + 4*s - 69*s + 1 as o*s + x and give o. -65 Rearrange (-2*p + p + 2*p + (5*p - 3*p + 0*p)*(-16 - 1 + 3))*(2 - 2 + 2) to d*p + f and give d. -54 Rearrange (-2*x + 4*x - 4*x + (3 - 3 - x)*(2 - 5 + 2))*(-5 + 6 + 12) to l + w*x and give w. -13 Express -22*w - 14*w - 7*w - 33*w in the form p*w + q and give p. -76 Rearrange 0*w**3 + 188 - 2*w**4 - 180 - 2*w**3 to l*w**4 + d*w**2 + q*w + g + n*w**3 and give n. -2 Rearrange (2*i + i - i)*((-2 + 2 - 2*i)*(-6*i + 2*i + 3*i) - 557*i - 14*i**2 + 557*i) to t + o*i**3 + g*i + f*i**2 and give o. -24 Express -2*k**2 - k - 261 + 17*k**4 + 261 in the form j + i*k**2 + n*k**4 + s*k**3 + c*k and give c. -1 Express (3*d - 3*d + 2*d**2)*(2 - 2 + d) - 2*d**3 + d**3 + 0*d**3 - 91*d**2 + 157*d**3 + 43*d**2 + 48*d**2 as j*d**3 + y*d**2 + a*d + t and give j. 158 Rearrange -4*t**4 - 2196*t**2 - 17*t + 2195*t**2 + t**4 to q*t**3 + g*t**2 + c + h*t**4 + z*t and give g. -1 Rearrange 3*j**2 - 8*j**2 + 3*j - 7*j**2 - j to h*j**2 + c + s*j and give s. 2 Rearrange 21*x - 5*x - 6*x to the form r*x + o and give r. 10 Rearrange (0 + 3 + 3)*(1 + 7*p + 2 - 1) to j + h*p and give h. 42 Express -2*k**4 + 24*k**3 - 4*k**2 + 3*k**2 - 27*k**3 + k as f*k**2 + y*k**3 + b*k + g*k**4 + l and give b. 1 Express 2 + a**2 + a**2 + 3*a**2 in the form i*a**2 + z*a + l and give i. 5 Rearrange 5*k - 4*k**2 - 5*k - 3*k**2 to b + w*k + z*k**2 and give z. -7 Express -6*g**2 - 4 + 1 + 4 + 4*g**2 in the form u*g + k + a*g**2 and give k. 1 Rearrange 130*n**2 - 16 + 6 - 126*n**2 + (-3*n + n + 0*n)*((2*n - 3*n + 0*n)*(0 - 2 + 3) + 2*n + 0*n - 3*n) to the form d*n**2 + g*n + w and give d. 8 Express x**2 + x**4 - 4*x**3 - 9*x**3 + 13*x**3 + 1 as z*x**3 + y + m*x**4 + q*x**2 + o*x and give q. 1 Express -10*k - k + 10*k - 9*k - 1 as f*k + z and give z. -1 Rearrange (-3 + 3 - 2*q**2)*(-10 + 1 + 2)*(7 - 2 - 4) to j*q**2 + h*q + w and give j. 14 Express 28*y**3 - 2*y**4 - 28*y**3 - y**2 - 11*y as w*y**2 + j*y**4 + t*y**3 + l*y + o and give j. -2 Express -12*x - 25 + 9*x + 0*x**3 + 2*x**3 + 4*x as k + c*x + m*x**3 + l*x**2 and give c. 1 Rearrange -16*c**2 + 45*c**2 - 18 + 19 to the form w*c**2 + u + r*c and give w. 29 Rearrange 3*s - 3*s - 12*s**2 + (-5 - 2*s + 5)*(s + s - s) to the form m*s**2 + f + l*s and give f. 0 Rearrange 0*n**2 - 1 - 3*n**3 - n + 5*n**3 - 11*n**2 to the form a*n**2 + y*n**3 + l*n + r and give a. -11 Express -4*t**3 + 2*t**3 + 4*t**3 + (2 + 3*t - 2)*(3*t**2 - 2*t**2 + 0*t**2) - 3*t**3 + 5*t**3 - t**3 as r*t**2 + s*t**3 + o*t + g and give s. 6 Express -54*j + 33 + 28 - 18*j - 59 in the form k*j + n and give n. 2 Express (2*p + 3*p + 3*p)*(-1 + 2 + 1 - 3*p) in the form v*p + q + n*p**2 and give n. -24 Express 2 + 2*n**3 + 6*n - 2 + (-4*n + 2*n + 4*n)*(-3*n + 2*n**2 + 3*n) as w + j*n**3 + x*n**2 + d*n and give d. 6 Rearrange -3*z**2 + 2*z - z**2 - 1 - 2*z - 2*z - 2*z**4 to the form j + t*z**4 + c*z**3 + q*z + y*z**2 and give q. -2 Express (-2*b - 4*b + 5*b)*(182*b - 219*b - 420*b) as u + q*b + h*b**2 and give h. 457 Express 5*q**3 + 49 + q**3 - 7*q**3 in the form g + h*q**2 + d*q**3 + b*q and give g. 49 Express (-12 + 8 - 13)*(3 - 2 + 2)*(2*j - 3*j + 3*j) in the form w*j + l and give l. 0 Express (0*x - x + 0*x)*(-18 + 4 + 3 + (3 + 1 - 3)*(3 - 2 + 1)) as q*x + t and give q. 9 Rearrange -3 - 11*n + 3 + (-3 + 0 + 2)*(0 - 2*n + 0) - n + 0*n + 3*n to the form w*n + x and give w. -7 Express 4*h + 3*h + 14*h as y*h + x and give y. 21 Rearrange (-31 - 9 - 12)*(a**2 - 2*a + 2*a) to the form m*a + s + b*a**2 and give b. -52 Express -143*f + 143*f - 4 - 2*f**3 as s + q*f**3 + a*f**2 + h*f and give q. -2 Rearrange (-4*k**3 + 2*k**3 + k**3)*(22 - 6 + 5)*(-1 + 2 + 0) to h*k + d + z*k**3 + y*k**2 and give z. -21 Express -3 - 2*m**4 - 5 - m + 6 - 2*m**3 + 6*m in the form p*m + d*m**2 + g*m**4 + j + f*m**3 and give j. -2 Rearrange 157*r - 157*r + 41*r**2 - 2 to u*r**2 + w*r + q and give q. -2 Rearrange -3*c**2 - 2 + 1 + 1 + 3*c**3 to n*c**2 + i*c**3 + l*c + y and give n. -3 Express 6*r**2 - 12*r**2 - 6*r**2 + 2*r + 2 - 1 as q*r + l + h*r**2 and give h. -12 Express 3*l**3 + 2*l**2 + l**3 - 3*l**2 + 3*l**3 in the form k*l**3 + t*l + g + s*l**2 and give k. 7 Rearrange 0*n**3 + 13 + 7*n**4 - 6*n**4 + 3*n**3 - 2*n**3 + n**2 to p + c*n**4 + v*n**2 + w*n + i*n**3 and give v. 1 Rearrange -57*m**3 + 49*m**3 + 4*m + m + (0 - 1 + 0)*(-3*m**2 + 3*m**2 + m**3) to the form y*m**3 + l + o*m + b*m**2 and give y. -9 Express -56*l - 209 + 209 in the form i + h*l and give h. -56 Express -4*b - 14 + 3*b + 3*b in the form z*b + u and give z. 2 Express (1 - m - 2*m**3 + 4 - 4)*(1 + 4 + 5 + (1 + 2 - 1)*(1 - 4 + 1)) in the form u + d*m + l*m**3 + f*m**2 and give l. -12 Rearrange -3*d**3 + 6*d**3 - 23*d**4 + 25*d**4 - d**2 to b*d**2 + o*d**4 + t + w*d + v*d**3 and give b. -1 Rearrange (28 - 24 + 45)*(o + 3*o**2 - o) to the form p + q*o + x*o**2 and give x. 147 Rearrange -a**2 + 2*a**2 - 2*a**2 + (a**2 + 1 - 1)*(-1 + 0 + 0) - 47*a + 47*a + 8*a**2 to b*a + w + q*a**2 and give q. 6 Rearrange (0 + 0 + 2*s)*(-1 + 2 - 3) - 1 - 53*s + 154*s - 61*s to the form m + c*s and give m. -1 Express -143 - 63*k + 143 in the form f*k + d and give f. -63 Rearrange -11*q**2 + 2*q**2 + 10*q**2 - 4*q**3 to the form l + b*q + c*q**2 + x*q**3 and give x. -4 Rearrange (-2*v + 0*v + v)*(6*v - 5 - 6*v + 6*v)*(-3 + 5 - 3) to the form a + i*v + n*v**2 and give i. -5 Rearrange -6*y**2 - 3*y + 6*y**2 - y**3 - 4 to c*y**2 + f*y**3 + r + q*y and give r. -4 Rearrange 36*m**3 + 16 + 36*m**3 - 113*m**3 + 39*m**3 + m to q*m + u*m**3 + g*m**2 + i and give i. 16 Express s**4 - s**4 - s**4 + (s**2 + 0*s + 0*s)*(3 - 4*s**2 - 3) in the form m*s**3 + k*s**4 + v*s**2 + r + x*s and give k. -5 Rearrange -2*k + 6 + 2 - 2*k**2 - 10 to f*k + p + d*k**2 and give d. -2 Rearrange (-15*n**2 - 15*n**2 + 10*n**2 - 2*n**2)*(0*n - 2*n - n) to i*n**2 + d*n**3 + c + m*n and give d. 66 Rearrange -17*k + 13*k - 13*k to the form c + h*k and give h. -17 Rearrange (1 + 1 + 1)*(-2*j**3 + 0*j**3 + 3*j**3) + 2*j**2 + 9*j**3 - 3 - 16*j**3 + 8*j**3 to the form b*j**2 + g*j**3 + u*j + q and give q. -3 Rearrange (-3 + 2*g + 3)*(2 - 4*g**2 - 2 - 1) to the form t*g + v*g**3 + m + c*g**2 and give m. 0 Express -a**3 + 22 - 22 - 14*a as x*a**2 + w*a**3 + h*a + k and give h. -14 Rearrange 4*p - 3*p + 4*p - 3*p + 9*p**2 to i*p + g + t*p**2 and give i. 2 Express 31*j - 1 + 6*j - 3 + 6 as t + c*j and give t. 2 Express ((25*v - 55*v**3 - 25*v)*(1 - 1 + 1) + 2*v + 2*v**3 + v**3 - 5*v**3)*(-v + 0 + 0) as g*v**2 + m*v + t*v**3 + f + p*v**4 and give p. 57 Express -3*b + 0*b + 5 - 15*b**2 + 16*b**2 + 2*b**4 + 5*b in the form r*b**2 + q*b**3 + w*b + v*b**4 + k and give k. 5 Express (-36 - 159 - 48)*(2*y + 0 + 0) in the form v*y + w and give v. -486 Rearrange -3*h**2 + 5*h**2 - 3*h**2 - 2*h**2 + 2*h to i + x*h + q*h**2 and give x. 2 Express (3*k - 2*k + k)*(-5 + 4 + 2)*(-2 + 1 + 0) - 6*k - 12*k - 6*k in the form b + o*k and give o. -26 Express (m + m + m)*(-26 - 40 - 32) as s*m + d and give s. -294 Rearrange -94*j - 167 + 167 to x + y*j and give y. -94 Express -4*y**2 - 18*y**2 + 3*y**2 - 2*y - 5*y**2 as a*y + v + i*y**2 and give a. -2 Express 3*d**3 - 2*d**3 - d + 3*d - 3*d**2 - 5*d as y*d + k*d**2 + w*d**3 + j and give j. 0 Express 4*y**2 + 2 - 2*y**2 + 11*y**3 - 18*y**3 - 2*y - 4 as v + z*y**2 + w*y**3 + i*y and give i. -2 Express -h - 35*h**3 - h + 34*h**3 as x*h + q*h**2 + v + o*h**3 and give q. 0 Express -13*o**2 + 3*o**2 - 11*o**2 as s*o + q + k*o**2 and give k. -21 Rearrange (-2*v**2 + 0*v**2 + 0*v**2)*(0 - 1 - 1) + (3*v - 1 + 1)*(-3 - v + 3) + 3*v**2 - 3*v**2 + 6*v**2 to the form h*v**2 + g*v + b and give h. 7 Express 39*q**2 - 68 - 71 + 139 in the form o + v*q**2 + d*q and give v. 39 Rearrange (3*j + 4*j - 6*j)*(2*j - 2*j - j)*(0 + 1 + 1) to the form n + b*j + z*j**2 and give z. -2 Rearrange (-4 - 1 - 1)*(2 - 4 + 4)*(3*m - 4*m - 4*m) to the form f*m + b and give f. 60 Express 13*r - 5*r + 107*r**2 - 106*r**2 + 2 as n*r**2 + k + j*r and give k. 2 Rearrange
{ "pile_set_name": "DM Mathematics" }
What is the hundreds digit of j? 1 Let u = 1882 - -6214. What is the hundreds digit of u? 0 Let k be (1 - 2 - 0)*(-1 - -6). Let s be -1 + 3 + k + 3. Suppose s = -6*a + 9*a - 507. What is the tens digit of a? 6 Let g(l) = l**2 + 11*l - 74. What is the ten thousands digit of g(-108)? 1 Let k(w) be the third derivative of -83*w**4/8 - 6*w**3 + 15*w**2. What is the tens digit of k(-2)? 6 Let q(x) = 16*x**2 - 23*x + 102. What is the units digit of q(-20)? 2 Suppose 77*v = 626726 - 24740. What is the units digit of v? 8 Suppose -2875 = 4*d - 0*d - 3*q, -3*d = 4*q + 2175. Let a = d - -943. What is the units digit of a? 2 Let k = 2 - 0. Let b = 267 - 949. What is the tens digit of b/(-10) - k/10? 6 Let f(b) = -b**3 - 33*b**2 - 33*b - 29. Let p be f(-32). Suppose 5*y + 3289 = p*x, x + 4*y = 765 + 337. What is the units digit of x? 8 Let r = -2296 - -5431. What is the units digit of r? 5 Suppose 31*f - 357000 = 42435. What is the thousands digit of f? 2 Suppose 3*a + 9 = 4*l, 5*l - 18 + 2 = -a. Let r(n) = 1 - 2*n**2 + n**2 - 4*n + n**2 + 3*n**2. What is the units digit of r(l)? 6 Suppose v - 3 = 0, 0*l + v = -l + 8. Suppose -2*i = l*i - 518. Suppose o - i = 67. What is the units digit of o? 1 Suppose 0 = -8*a - 3*a + 33. Let o = 43 - a. What is the units digit of o? 0 Suppose -14*v + 5*s = -129790, 10*s - 27818 = -3*v + 14*s. What is the thousands digit of v? 9 Let o(u) = u**3 - u**2 + 3*u + 5. Let j be o(5). Let p(c) = c**2 + 12*c - 158. Let h be p(-20). Suppose h*w + w = j. What is the units digit of w? 0 Let o = 112473 + -45906. What is the tens digit of o? 6 Let y be ((-235)/(-15))/(1/(-6)). Let n be 3/(9 + (-2821)/312). Let b = n - y. What is the units digit of b? 2 Let p be (-3)/60*-8 - (-2)/(-5). Let j = p - -176. Suppose 2*y = f + 3*f + 152, 2*y + 2*f = j. What is the tens digit of y? 8 What is the units digit of 6750/126 - 53 - 107106/(-14)? 1 Suppose 2*o - 4*i - 88338 = 0, 3*o + 1396*i = 1398*i + 132535. What is the units digit of o? 3 Suppose -v - 2*y = 0, 3*v = -0*y + 4*y. What is the tens digit of (-672)/(v + 0 - (14 + -13))? 7 What is the tens digit of 1398/(-8)*(1836/(-81) - 32)? 5 What is the thousands digit of 15/(-195) - (-28394)/26? 1 Suppose 12*i - 7*i - 5*v = 0, -4*v + 14 = 3*i. Suppose -6*k = -i*k - 1376. What is the hundreds digit of k? 3 Let d be ((-4)/(-2) - 2)/(-2) + 4. Suppose a - 5*o = 54, 5*o + 131 = d*a + 2*o. What is the units digit of 2/10 - (a/(-5) + 1)? 5 Let g(b) = 16*b + 32. Let z be g(-2). Suppose 10*c - 7*c = n - 411, 4*n - 3*c - 1644 = z. What is the hundreds digit of n? 4 Let m = -116 - -128. Suppose m*o - 2746 = 2882. What is the units digit of o? 9 Let i = -28 + 28. Suppose -2*v - 3*q + 590 = i, -2*q - 1394 = -5*v + 43. What is the units digit of v? 9 Suppose 221*n = 220*n + 11496. What is the tens digit of n? 9 Let l(c) be the second derivative of -7*c**3/3 + 451*c**2/2 - 2*c - 70. What is the units digit of l(0)? 1 Let g = 5198 + -4142. What is the hundreds digit of g? 0 Suppose 8*c - 9*c + 4*f + 5151 = 0, 0 = 3*c + 2*f - 15383. What is the hundreds digit of c? 1 Let t be 2/3 - (-6136)/39. Suppose 3*j + 2*r + 3 = 2, 4*j - 22 = 2*r. Suppose 3*m - t + 479 = 4*a, -j*m = 4*a - 351. What is the tens digit of a? 8 Let m(o) = o**2 - 15*o + 21. Let c be m(14). Suppose 7*d = 5*h + 3*d - 49, 0 = -h - 2*d + c. Suppose -h*i + 572 + 1489 = 0. What is the units digit of i? 9 Suppose 0 = 2*j - 2*v + 416 + 314, -3*v - 1439 = 4*j. Let u(s) = -s**3 + 4*s**2 + 8. Let f be u(4). What is the hundreds digit of j/(f/(-4) - 0)? 1 Let s(a) be the second derivative of 25/6*a**4 + 1/2*a**2 + 0*a**3 + 0 + 11*a. What is the tens digit of s(1)? 5 Let f = 333 + -562. Let w = f + 417. What is the hundreds digit of w? 1 Suppose 2*c - 2*x - 291 - 1023 = 0, 2*c + x = 1308. Let l = c - 315. What is the units digit of l? 0 Suppose 12*o - 42656 = 8*o - 4*d, 3*o - 31976 = d. What is the ten thousands digit of o? 1 Let l(t) = t**2 + 13*t - 15. Let v(d) = -20*d + 29. Let g be v(-4). Let j = g - 129. What is the units digit of l(j)? 5 Let z = -4747 + 20502. What is the hundreds digit of z? 7 Let w = 6 + -1. Suppose a - 1218 = -1078. Suppose w*m = a + 65. What is the tens digit of m? 4 Let v = 81 + -54. Let z = -26 + v. Let h(o) = 58*o**2 + 2. What is the units digit of h(z)? 0 Let x(z) = -10*z + 11. Let b(l) = -l**3 - 3*l**2 - 2*l - 2. Let r be b(-3). Let s be x(r). Let d = 135 + s. What is the tens digit of d? 0 Suppose 6*m - 157 + 13 = 0. Suppose 8106 = -3*d + m*d. What is the units digit of d? 6 Suppose -10 = 2*y, 0 = x - 80*y + 79*y - 7468. What is the thousands digit of x? 7 Suppose -5*w = -5*o + 49085, -3*o - 25*w + 20*w + 29451 = 0. Suppose -19*t + o = -8062. What is the tens digit of t? 4 Let t(u) be the third derivative of -u**6/40 + u**5/20 + 11*u**4/24 + u**3/6 + 5*u**2 - 3. What is the units digit of t(-4)? 7 Let x(w) = 6*w - 42. Let y be x(8). What is the tens digit of 33/y*(43 - 9)? 8 Let m = 2289 + -1115. Let y = m + -770. What is the units digit of y? 4 Let j(z) = z**2 - 6*z - 9. Let r be j(-2). Suppose -r*v = -2*v - 675. What is the units digit of v? 5 Let h be 90/(-54) - 8/6. Let t(u) = -43*u**3 + 8*u**2 - 2*u - 13. What is the tens digit of t(h)? 2 Suppose 55*w - 45*w - 55050 = 0. What is the tens digit of w? 0 Suppose -136470 = -5*z - 5*c, -3*z + 81882 = 207*c - 212*c. What is the ten thousands digit of z? 2 Let i(j) be the second derivative of -j**5/20 + 5*j**4/6 - 7*j**3/3 + 47*j**2/2 - j - 2. What is the units digit of i(4)? 7 Suppose 5*n + 4434 = 4*t, -4*t + 2445 = 2*n - 1975. Suppose 5*y = 12*y - t. What is the tens digit of y? 5 Let q(z) be the third derivative of -z**6/120 + z**5/20 + 24*z**3 - z**2 - 9*z. What is the hundreds digit of q(0)? 1 Let g be 320*(-10)/125*5. Let h = g + 335. What is the tens digit of h? 0 Let f(z) = -69*z**3 + 2*z**2 + 8*z + 12. Let w(n) = n**3 - 24*n**2 - 54*n + 50. Let b be w(26). What is the units digit of f(b)? 6 Suppose -57*u = 18*u - 1202175. What is the tens digit of u? 2 Suppose -18*r = 125*r - 2041610 + 183754. What is the units digit of r? 2 Let i(z) = -14*z**3 - 43*z**2 + 4*z - 87. Let w(r) = -5*r**3 - 14*r**2 + r - 29. Let x(d) = 6*i(d) - 17*w(d). What is the units digit of x(21)? 9 Suppose -y = -8 - 10. Let k be 0 + (-1 + y - 2). What is the units digit of 39/k - 8/(-20)? 3 Let c = 1763 - 1538. What is the hundreds digit of c? 2 Suppose 0 = 108*t - 583126 - 799166. What is the hundreds digit of t? 7 What is the units digit of (3 + (-5 - 71808/30))/(4/(-20))? 8 Let b = 7924 - 3584. Suppose 10*c = 17*c - b. What is the hundreds digit of c? 6 What is the thousands digit of (-17*4/(-102))/((-3)/(-93267))? 0 Suppose 0 = 698*d - 691*d - 91700. What is the units digit of d? 0 Let b(h) = 726*h**3 - 2*h**2 + 12*h - 12. What is the ten thousands digit of b(3)? 1 Let l = 46646 - 7232. Suppose 41*v = l + 12861. What is the tens digit of v? 7 Let p = 9110 + 7603. What is the hundreds digit of p? 7 Let y be -6*((-155)/(-30) - 5)*-9. What is the hundreds digit of -1 - -44*(y + 8)? 7 Suppose -16*h + 21*h = 4*v - 257, 2*v - 3*h = 129. What is the tens digit of (v/9)/7 - 121*-4? 8 Suppose 31*p = 35*p. Suppose p*x + x = -x. What is the hundreds digit of (115 + x)/(0 + 1)? 1 What is the hundreds digit of (-34 - -27197) + 7 + -20? 1 Let u = -946 - -491. Let h = u + 589. What is the tens digit of h? 3 Let c(x) = -x**2 - 5*x + 9. Let u = 160 - 166. What is the units digit of c(u)? 3 Suppose -g + 7*v = 4*v + 7, 5*g = -4*v + 22. Suppose g*x = -x + 9. Suppose -2*q + x*a + 35 = 0, 3*q = -4*a + 43 + 1. What is the tens digit of q? 1 Suppose 1117*o - 950*o - 2114220 = 0. What is the tens digit of o? 6 Suppose 711 = 6*f - 27. Let h = 418 + f. What is the hundreds digit of h? 5 What is the hundreds digit of (((-76)/14)/(220/308))/(3/(-3525))? 9 Suppose g - 50 = 27. Suppose 2*d - 21 - 51 = -q, d - g = -q. What is the tens digit of (q/(-6))/(7/(-21))? 4 Let g(u) = 1072*u - 981. What is the ten thousands digit of g(13)? 1 Let h = 350 + -607. Let p = h - -687. What is the tens digit of p? 3 Let g = 89 - 37. Let x be (-32)/80 + -652*(-2)/10. Suppose 2*z - x = 4*k, -5*z - k + g = -229. What is the tens digit of z? 5 Suppose -27*m - 780474 = -41*m - 198452. What is the hundreds digit of m? 5 What is the hundreds dig
{ "pile_set_name": "DM Mathematics" }
d - -24. Let z = 594 - 24352/41. Is z at least q? True Let t be 111/((189/35)/9). Suppose 6*l = l - t. Is l not equal to -36? True Let t be (-4)/18*2265/18875. Suppose d - 3 = -r - r, -3*r + 4*d = 1. Is r bigger than t? True Let c = -766 + 765.345. Let w = -1.275 - c. Are w and -2/5 equal? False Let z(g) = 3*g**3 - 5*g**2 - g + 12. Let s be z(-3). Let n = s + 110. Which is bigger: -4/25 or n? -4/25 Let c = -24 + 24.074. Let h = c + -6.274. Let j = h + 5.3. Which is bigger: 0 or j? 0 Let j(b) = -6*b**2 - 22*b. Let q be j(0). Are -1/56 and q non-equal? True Let d = 259 - 345. Let m = d + 2. Which is smaller: -86 or m? -86 Let s be 64*((-2)/4 + 39/(-26)). Let i = s + 125. Which is smaller: i or -31? -31 Let b = -9430.46 + 9430. Is b less than or equal to 1/11? True Suppose -12 = -3*a - 5*s + 46, 80 = 5*a + 5*s. Suppose -2*x + 9*q - a*q - 350 = 0, 885 = -5*x + 5*q. Which is smaller: x or -178? -178 Let s(d) = d**2 + 5*d + 4. Let g be s(-4). Suppose 7*i + 562 - 576 = g. Which is smaller: 13/25 or i? 13/25 Let u = 28476 + -13602. Which is greater: 1/3 or u? u Suppose -5*b + 3*f + 0*f + 156 = 0, 0 = 2*b - 2*f - 64. Let d be (-4)/14*2/b. Let c(a) = -5*a - 39. Let i be c(-8). Is d smaller than i? True Suppose -5*n + 4*v + 296 = 0, -4*n + 2*v = -3*v - 244. Let h = n + -58. Let l be (0 + h + 0)*(-2)/(-4). Which is greater: 14/5 or l? 14/5 Let x = 1423 - 1401. Is x < -41? False Let z be 1 + 3 + ((-6)/(-3) - -3). Suppose -2*w + 1 = -4*i - z, -12 = -4*w + 4*i. Which is bigger: w or -3/10? w Let x = 46/87 - -30476/609. Let i be (-40682)/805 - (-10)/25. Let a = i + x. Are 1 and a unequal? True Let x = -16 + -64. Let v = x - -87. Let r be 4/(-3) + v/21. Which is bigger: r or -2/115? -2/115 Let h = -1573237/4358 - -361. Which is greater: 0 or h? h Let f = -808 + 10573. Let i be f/(-150) - 7 - (-1)/10. Which is greater: -71 or i? -71 Let g = 439 - 438.9684. Let x = 112.9684 + g. Is -0.1 at least as big as x? False Let t = -25539 - -23888. Do t and -1643 have the same value? False Let k = 146 - 182.7. Let r = 36.6 + k. Is r less than -487? False Let n be ((-145)/25 - -6)*15/6. Which is bigger: n or 361? 361 Let i = 66561 + -331346/5. Which is smaller: i or 292? i Let g(r) = -15*r**2 + 15*r - 32. Let f(u) = -8*u**2 + 8*u - 15. Let x(p) = 7*f(p) - 4*g(p). Let k be x(-6). Which is smaller: k or -1? -1 Suppose 3*n + v = 221, 0 = 6*n - 8*n + 3*v + 162. Let c be -1*1 + (13 - 8). Suppose t - 5*f + 65 = 2*t, 302 = c*t - f. Do n and t have different values? False Let p = 1668 + -1658.97. Let l = p - 10.03. Which is bigger: l or 146? 146 Let f = -461535853/10356 + 44567. Which is greater: f or 0? 0 Suppose 5*d = 3*j + d + 26, d + 11 = -j. Suppose -6*y + 12*y = -30. Let l be y/(-6) + -1 - (-70)/84. Which is smaller: j or l? j Let u = 0.0948 + -734.0948. Let v = u - -726. Which is smaller: 27/2 or v? v Let l be -3 - ((-2)/(-5) - (-502288)/(-120)). Let o = 4336 - l. Let r = o + -149. Is 6 not equal to r? True Suppose -15489*r + 20 = -15479*r. Let n = -1.51 + 1.4. Which is smaller: n or r? n Let a be (-1)/4 - (7 + 294/(-56)). Let h = 4/522763 + -122327762/159442715. Let r = -2/61 + h. Is r less than or equal to a? False Let t = -364 - -322. Let z = 27 - 71. Let m = z - t. Is m at least as big as -12/5? True Let s = 759 + -882. Let v = s - -135. Let y(z) = -z**2 + 3*z. Let h be y(3). Is v at most h? False Let r = -2.564 - -13.564. Let c = -0.7 + 5.7. Let b = r - c. Which is smaller: b or 1? 1 Let o = 42857 - 172929/4. Which is bigger: -376 or o? o Let f = -84 + 87. Let d be 16/(-40) - (-12)/5 - f. Which is smaller: 1/60 or d? d Let h = -61/87 + 253/609. Which is smaller: 3152 or h? h Let j = 2 + 12. Let w(i) = i**2 - 11*i - 22. Let f be w(j). Suppose -6*u + f*u + 210 = 0. Is u less than -3? True Let m be (-1729)/(-4) + (-10)/40. Suppose 0 = -8*l - 4*l + m. Suppose 0 = 37*b - l*b. Which is smaller: b or -12/41? -12/41 Let c = -0.011 + 31.011. Let z(q) = -q**3 - 7*q**2 - 7*q - 3. Let x be z(-5). Let m = x + 52/3. Which is bigger: c or m? c Suppose 23*z = 25*z - 568. Let i = z - 2600/9. Is i less than or equal to -4? True Let d = -18/149 + 460/1341. Is d less than 1716? True Let m be (-6)/15 + ((-14536)/10)/(-4). Let s be 4/6 + (-770)/m. Which is smaller: s or -3? -3 Let j(v) be the first derivative of -16*v**3/3 - v**2/2 + 2*v + 84. Let q be j(2). Which is smaller: q or 2? q Suppose -3*o + 195 - 504 = 0. Let f = o - -108. Which is smaller: f or -4? -4 Suppose 0 = 3*k + 28 - 19, 2*r - 149 = 3*k. Is r greater than or equal to 119? False Suppose -3*a = -6*a + 36. Let n be 2 + -9 - a/4. Let t be 1*1/(-1) + 1/2. Which is smaller: t or n? n Let l be (1/4)/(7375/40). Let s = 29066 - 29067. Is l greater than s? True Let m(u) = u + 13. Suppose 0 = -3*l - 2*l + 4*d - 25, -3*l = 3*d - 12. Let g(i) = -i. Let b(q) = l*m(q) - 2*g(q). Let h be b(-7). Is -21 bigger than h? False Let d be (638/(-12))/11 - (-2)/(-12). Let z = 11 + d. Let l be (3/(-8)*4)/(z/32). Which is smaller: l or -6? l Let z be 2*(-17077)/10 + (-78)/(-195). Which is greater: z or -3416? z Let z be (-548)/(-6302) - (-12792)/(-46). Is z less than 1/4? True Let x be (-4)/12*(-14)/(-8). Let a be (-4)/8 + (-86)/(-24). Let v = a + x. Is v bigger than 4? False Let a be (577 - (-26 + 37))*(-22)/(-4). Which is greater: 3114 or a? 3114 Let q be (40/54 + 238/(-3213))/(1/33). Let b = 7 - 7. Suppose 0*j + 2*j - 46 = b. Is q at most j? True Let t be 27/6 + 26/(-4) + 6. Let s be 0 + (12/t)/(-12). Is -76 at least s? False Let l be (2 - (0 - 0)) + 708/(-276). Let r = 13/23 - l. Is 1 equal to r? False Suppose -4*s = -22 - 14. Suppose -q - 8 = -z + 1, -z = 2*q - s. Suppose z*b + 291 + 60 = 0. Which is smaller: b or -1? b Suppose 14*z + 412439 = -33*z - 24*z. Which is bigger: z or -5807? -5807 Let r = -1301 + 1300.33. Which is smaller: 4/3 or r? r Let z = -136 - -135. Let c = 11 - z. Let y = c - -36. Is 47 at least y? False Let s = 9879 + -9879. Which is greater: -8/25 or s? s Let a = 0.04119 - -2426.95881. Which is smaller: 0.1 or a? 0.1 Let b(i) = 2*i**2 - 11*i + 3. Let p(k) = 4*k**2 - 23*k + 7. Let z(v) = 7*b(v) - 4*p(v). Let a be z(6). Let w be 32/176 - 2/a. Is w at least as big as 0? True Let j = 35 + 124. Let v = 59001 + -58844. Is j less than v? False Let a = 14 - 20. Let q = -206.11 + 0.11. Let i = -204 - q. Which is smaller: i or a? a Let m = 7726 - 7644. Which is bigger: m or 102? 102 Let w(q) = -q**2 - 7*q - 2. Let s be w(-6). Let p be 0*(1 - s/6). Do p and 1 have the same value? False Suppose 83 = -21*b + 251*b + 313. Is b smaller than 9/434? True Suppose 182*d - 384*d = -187*d - 15. Which is smaller: d or -2/31147? -2/31147 Suppose 6*u = 7*u + 131. Let i = -50 - u. Let s be (i/(-15))/((-21)/14). Which is bigger: s or 3? s Let t(g) = g**2 - 130*g + 2529. Let h be t(22). Is h at least 169? False Let q = -2308321/161 + 14337. Which is bigger: q or 1? 1 Let l = 40.72 - 0.92. Let s = -1.12 - -41.12. Let z = s - l. Is z bigger than -1.5? True Let q be (((-305136)/(-54))/(-26))/((-15)/(-27) + -1). Which is greater: 491 or q? 491 Let a = -6604 - -6603. Which is smaller: -3.04 or a? -3.04 Let i = -97.43 + 97.33. Is i at most as big as 18.969? True Let q = -2277 + 1874. Is q greater than 0? False Let a(v) = -v + 18. Let x be a(23). Let m be (1/4)/(x - 378/(-77)). Let b be 4*((-1)/2 - 0). Is b < m? False Let j = 2946 - 615718/209. Suppose -1084*g + 3*p = -1086*g - 17, 0 = p + 5. Is j at most g? False Let i = 74029442378592/31979 + -2314939253. Let u = i + -24/113. Which is smaller: u or 1? u Let i(y) = -y**2 - 13*y - 26. Let v be i(-8). Let p(d) = 45*d**2 + v*d - 19*d**2 - 23*d**2. Let q be p(-6). Is q != 23? True Let w(d) = -2*d - 1. Let v be w(-6). Let k = 104 - -39. Let r = k + -140. Which is bigger: v or r? v Let r = 11728 + -34867/3. Let j = 105 - r. Do 5/3 and j have the same value? False Let d = -28/9 - -103/36. Which is smaller: 7/1524 or d? d Let a = 9339/37 + -251. Is 1 less than or equal to a? True Let v(t) = t**3 - 80*t**2 + 5*t - 426. Let i be v(80). Suppose -2*b = 6, -z + 3*z = -3*b - 57. Which is smaller: z or i? i Suppose -f = 3*f. Let r be 3 + (-2 - 4) + 5 + -12. Let s be (-5)/110*(-24)/r. Is s equal to f? False Let y be (-3)/(-6)*(1 - -397). Let i be (-3383)/34*(-2)/(18 - 17). Is y bigger than i? False Suppose -3*c - 423
{ "pile_set_name": "DM Mathematics" }
/n))/n)/n)**(-24))**(3/5) assuming n is positive. n**(-89/5) Simplify (((w**(2/17))**(-13/3))**44)**22 assuming w is positive. w**(-25168/51) Simplify g**(-1/12)/(g/(g*g**(1/4)/g)*g)*(g**18*g)**(-2/15) assuming g is positive. g**(-131/30) Simplify ((c*c*c**(-5/2)*c/c**0)/(c**(-1/4))**(-1/36))**9 assuming c is positive. c**(71/16) Simplify (c**(2/3)/c*c**(1/7)*c)/((c/(c*c*c*c/c**(-15)*c*c))/(c*c**(-17))) assuming c is positive. c**(101/21) Simplify ((y*y**(-2)*y*y)/y)**(2/13)/(y**(1/8)*y)**(2/15) assuming y is positive. y**(-3/20) Simplify (s*s*s**(3/2)*s*s**(-3))**(8/11) assuming s is positive. s**(12/11) Simplify (w**(-5)*w**(2/5)*(w*w**(-4/7)*w)/w**(-8))**(-1/47) assuming w is positive. w**(-169/1645) Simplify (w**(1/2)/(w/w**(2/23))*(w**(1/4)*w)**(2/7))**29 assuming w is positive. w**(-261/161) Simplify (q**3)**(-4/11)*q/q**(2/3)*q*q**(-11)*q assuming q is positive. q**(-322/33) Simplify ((p**(2/3)/p*p)**(32/7))**31 assuming p is positive. p**(1984/21) Simplify ((x*x**24/x)**(-3/16))**50 assuming x is positive. x**(-225) Simplify ((k/k**5)**15)**(10/3) assuming k is positive. k**(-200) Simplify ((c**(2/13)*c*c/c**(-4)*c)/(c**9*c**7))**(-2/37) assuming c is positive. c**(230/481) Simplify ((c/c**6)/(c**18/c))**(-3/4) assuming c is positive. c**(33/2) Simplify (a/a**(-5))**(-3/32)/(a*a**4*a*a**(1/8)/a) assuming a is positive. a**(-91/16) Simplify (l**(-2/13)/l*l)/(l/(((l*l/((l*l*l**(-4)*l)/l)*l)/l)/l))*l**(13/3)*l/(l**7/l)*l assuming l is positive. l**(85/39) Simplify (l**(-2/49)/(l*l**26))/(l*l*l**11/l*(l/(l**(11/5)/l))/l) assuming l is positive. l**(-9271/245) Simplify s*s**(-1/7)*s*s**(-1/3)*(s**(-2))**(-1/22) assuming s is positive. s**(373/231) Simplify (d**(-3/10))**(-12)/(d**(-21))**(-23) assuming d is positive. d**(-2397/5) Simplify (((o/((o/(o/(o/(o/o**3))))/o)*o)/(o*o*o**(-5/4)))**(-4/9))**37 assuming o is positive. o**(37/3) Simplify ((i*i**17)/(i*i/i**12))/(i*i**(-2/25)*i*i/(i*i**(2/19)*i)*i) assuming i is positive. i**(12438/475) Simplify (((a/(a**(-2/3)*a))**(-1/29))**(-8/3))**(33/4) assuming a is positive. a**(44/87) Simplify (p/p**10*p/p**(-3))/(p**21/(p*(p*p*p*((p/p**(-7/2))/p)/p)/p)) assuming p is positive. p**(-41/2) Simplify (((z**15/z)/z)/(z*z/z**(-13)*z*z))/(z**(2/9)*z)**7 assuming z is positive. z**(-113/9) Simplify u**12*u*u**(1/7)*u*(u/(u**(-1/3)/u)*u)**(-24) assuming u is positive. u**(-461/7) Simplify (q*q/(q/(q*q**(-2/7)))*q**(-3))/(q*q*q*q**(-3/4)*q*q)**12 assuming q is positive. q**(-366/7) Simplify y*y*y**(-8)*y**(5/3)*(((y**(1/4)*y)/y*y)/y)/((y*y*y*y*y/y**(8/5)*y*y*y*y*y)/y) assuming y is positive. y**(-689/60) Simplify q**(-11/5)*q**2*q**(-7)*q*q**(13/2) assuming q is positive. q**(3/10) Simplify (((z/z**(-8))/z)**10)**(-7) assuming z is positive. z**(-560) Simplify ((p**1)**14/(p**1)**(8/3))**(3/4) assuming p is positive. p**(17/2) Simplify (v/v**(-3/2)*v*v**(-3/2)*((v*(v/(v*v/((v**(1/2)/v)/v))*v)/v)/v)/(v/v**(-1)))**(-1/23) assuming v is positive. v**(5/46) Simplify ((t**(-2/7)*t)/(t/((t/((t*t**(3/2)*t)/t))/t))*t**(2/7)/t*t*t**(-1))**(2/5) assuming t is positive. t**(-7/5) Simplify (u**(-21)/(u*u**(-2/17)))/(u**18*u)**(10/11) assuming u is positive. u**(-7322/187) Simplify ((g*g**(-1/5)*g)/(g*g/(g/(g**(-3/2)*g*g))*g)*(((g/g**(3/5)*g)/g)/g)/(g*g/g**(1/16)))**8 assuming g is positive. g**(-259/10) Simplify (b/(b/((b*b*b/(b*b**8))/b*b*b)*b))/(b*(b/b**(2/15))/b)*(b/b**(-1/2))**(-41) assuming b is positive. b**(-2051/30) Simplify ((s*s**2/s)/((s*s*s*s**(2/59))/s))/(s**(-3/2))**7 assuming s is positive. s**(1235/118) Simplify k/(k**8/k)*(k*k**0)/k*k**(-5)/(k/k**(1/6)) assuming k is positive. k**(-71/6) Simplify (v**(-24))**(-13)/(v**(19/6)*v*v**(1/10)/v) assuming v is positive. v**(4631/15) Simplify i/(i*i**(-1/7))*i/((i*(i/(i**(3/5)/i))/i*i)/i)*i**(-4)/i**(4/7) assuming i is positive. i**(-169/35) Simplify (b*b/(b*b**(-1)))/((b**2/b*b)/b)*b*(b*b**(3/11))/b*b**(-3/7)*b*b assuming b is positive. b**(296/77) Simplify (s*s/s**(-22)*s*s**(-2/7)*s)/(s**(2/17))**(-40) assuming s is positive. s**(3620/119) Simplify ((o/(o/(o*o**15)))/o**(-2/25))**(13/3) assuming o is positive. o**(1742/25) Simplify (s**2*s*s/s**(-2/9)*s)/(s*s/(((s/s**1*s*s)/s*s)/s)*s*((s/(s*s*s/((s/s**(-1/19))/s)*s))/s)/s*s) assuming s is positive. s**(1226/171) Simplify (o**(-3/4))**(-25)/(o/o**3)**(-15/4) assuming o is positive. o**(45/4) Simplify ((h**(-1/6)*h**(-4/3))/(h**2*h)**19)**22 assuming h is positive. h**(-1287) Simplify (v**3)**42*v/(v*v*v**(3/2)*v)*v**7 assuming v is positive. v**(259/2) Simplify (((i/(i**(-3/2)/i*i))/i)/i)**(-2/27)*i**(7/4)*i**(-26) assuming i is positive. i**(-2623/108) Simplify (n**21/n**(-11))/((n/(n/(n*n**(-2/35))))/n*n**(-8)/n) assuming n is positive. n**(1437/35) Simplify (q*q**(1/4)*q)**(-44)/(q/(q*q**(-8/7)))**(-39) assuming q is positive. q**(-381/7) Simplify (b**(-6))**(3/7)/(b**(2/29)*b)**(-1/27) assuming b is positive. b**(-13877/5481) Simplify (r*r/r**(-36)*r*r/(r/(r*(r/((r/((r**(-33)/r)/r))/r))/r)))**(-27/7) assuming r is positive. r**(-135/7) Simplify (q**(7/4)*q**(2/7)/q)/(q**(7/6)*q*((q*(q/q**(-14))/q*q)/q*q)/q*q) assuming q is positive. q**(-1439/84) Simplify (c**(4/5))**(-41)*(c/(c**(-2/15)*c))/(c**(1/4)*c) assuming c is positive. c**(-407/12) Simplify (((k*k**(-1/3))/k*k)/k)**(-4/19)/(((k/(k/k**(-12))*k)/k)/k*k/((k/(k**(10/7)*k))/k*k)) assuming k is positive. k**(4246/399) Simplify ((s*s*s*s**(-2/9))/s**(-2/37))/(s**(-10)/(s**13/s)) assuming s is positive. s**(8269/333) Simplify v**4*v**(-21)*v*(v**(8/5))**8 assuming v is positive. v**(-16/5) Simplify q/(q/q**1)*q*q**1*q**(-7)*q*q**5 assuming q is positive. q**2 Simplify ((a**(5/3)/a**(1/8))**(-14))**(-22/5) assuming a is positive. a**(2849/30) Simplify ((t/(t**(-5/3)*t)*t*t)/t)**(21/5)*t/(t/t**(-3/8))*t*t**(-5/6) assuming t is positive. t**(1319/120) Simplify (g**(-2/9)*g*g*g**(-12)/g*g*(g**(1/2))**(-19))**(1/20) assuming g is positive. g**(-71/72) Simplify ((p**1)**(-45)*(p**(-1))**(-34))**(-18) assuming p is positive. p**198 Simplify (d**10*d**3/d)/((d*d**36/d)/((d*d**(6/19))/d*d)) assuming d is positive. d**(-431/19) Simplify (((y*y**(-6)/y)**17)**(2/9))**(9/8) assuming y is positive. y**(-51/2) Simplify (n*n**(-4/7)*n*n*n/n**(-12))**(-2/9) assuming n is positive. n**(-24/7) Simplify (j**(1/10))**(-26)*(j**5)**(3/29) assuming j is positive. j**(-302/145) Simplify ((w**(-1/3)/w*w)/(w*w**(-2))*(w/(w**(-1)*w))**(-3/5))**(19/5) assuming w is positive. w**(19/75) Simplify (((y/(y/(y/(y**4/y))))/y*y**(-2/19))/(((y/y**(1/12))/y)/((y/y**(1/7))/y)))**11 assuming y is positive. y**(-55561/1596) Simplify (x/((((x**(-7)*x)/x*x)/x)/x))**(11/3)*x**(-3/7)*x**(1/5) assuming x is positive. x**(1147/35) Simplify (k**26/(k**24*k))**(-4/17) assuming k is positive. k**(-4/17) Simplify (u**(4/9)*u**(-48)/u*u)**(1/24) assuming u is positive. u**(-107/54) Simplify ((x**2)**(-40))**(-3/5) assuming x is positive. x**48 Simplify (((j**(-2/7)*j)**(-42))**35)**(2/81) assuming j is positive. j**(-700/27) Simplify ((l**(-1)*l)/l**(-3)*l**(1/7)/l*l/(l/(l*((l*l/(l/((l**(-2)*l)/l)))/l)/l*l)*l))**19 assuming l is positive. l**(19/7) Simplify ((((n/n**(-1))/n)/n)/((n*((n*n**(-1/13)/n*n)/n)/n*n)/n))/(n*n/(n**(19/3)/n))**(2/5) assuming n is positive. n**(55/39) Simplify (((z*z*z/z**(2/15)*z*z*z*z)**(-2))**36)**(-6) assuming z is positive. z**(14832/5) Simplify (f*f**(2/5)/f)/(f/f**(-1/4))*(f**(-2/13))**(3/8) assuming f is positive. f**(-59/65) Simplify ((t*t/t**(-17)*t*t*t*t**23)**(-17/6))**(-2/7) assuming t is positive. t**(255/7) Simplify ((i*i**(1/4)/i)/i*i/(((i**(-4)*i)/i)/i*i))/(i/i**(-21))**4 assuming i is positive. i**(-335/4) Simplify (o*o**4*o)**(-2/3)/(o**(-1/4)*o/(o/(o*o**(-3/2)/o))) assuming o is positive. o**(-9/4) Simplify ((d**(8/9)/(d*d**(-4)))**26)**(-3/52) assuming d is positive. d**(-35/6) Simplify ((u/((u/(u/(u/(((u**(-1/2)/u)/u)/u))))/u)*u)/u**7)**31 assuming u is positive. u**(-527/2) Simplify (((o/(o/((o/o**(-2/5))/o)*o))/o*o)**7*o**(5/2)/((o**7/o)/o))**(-2/43) assuming o is positive. o**(67/215) Simplify (b**(-9))**(-32)/((b/b**(5/4))/b**10) assuming b is positive. b**(1193/4) Simplify (k**(-2/21))**(-36)/((k**(-2/35)/k)/(k**(-1/7)*k)) assuming k is positive. k**(187/35) Simplify ((m**5/m)**(-42))**(2/79) assuming m is positive. m**(-336/79) Simplify y/(y**(
{ "pile_set_name": "DM Mathematics" }
d by 140/34 + z/51. 1 Let t = -2781 - -3343. What is the remainder when t is divided by 113? 110 Suppose 0 = -g + 8*g + 182. Let q = 33 + g. Suppose -q*l + 4 = -129. What is the remainder when 31 is divided by l? 12 Let q(o) = o**3 - 53*o**2 + 188*o - 89. What is the remainder when 8596 is divided by q(51)? 2 Let k(r) = -12*r**2 - r. Let l(b) = b + 2. Let c be l(-3). Let z be k(c). Let g = z - -26. Calculate the remainder when 58 is divided by g. 13 Let g(h) = 12*h**3 + 2*h**2 + 2*h. Let d be g(-1). Let a be 4532/6 - (-16)/d. Suppose 13*k - a = 104. What is the remainder when k is divided by 35? 31 Let a = -4130 + 4182. Calculate the remainder when 2700 is divided by a. 48 Suppose -225 = 20*z - 17*z. What is the remainder when 175 + (-25)/z*(-1 + 1) is divided by 63? 49 Suppose -71*r + 9043 = 13*r - 2633. Calculate the remainder when 698 is divided by r. 3 Let z = -5482 - -5612. Calculate the remainder when 406 is divided by z. 16 What is the remainder when (9*23/(-46))/((-2)/136) is divided by 14? 12 Suppose -2*o + 716 = 2*c, 4*o - 1788 = -7*c + 2*c. What is the remainder when c is divided by 71? 1 Let h be 6/10*(-1040)/(-156). Let t(w) = -3*w**2 + 24*w - 11. Calculate the remainder when t(h) is divided by -20*((-7)/4 - -1). 7 Let j(s) = s + 33. Let l be j(-26). Suppose l*d - 2889 = 233. What is the remainder when d is divided by 56? 54 Let o(v) = -56*v + 2872. What is the remainder when 765 is divided by o(51)? 13 Suppose 17 = -3*o - b, o + 0*o + 5*b + 1 = 0. Let c be ((-66)/55)/(o/(-20)). Calculate the remainder when 12*2*c*232/(-96) is divided by 59. 55 Let t = 7389 + -6909. Calculate the remainder when t is divided by 188. 104 Suppose 3*z - 3*h - 1394 = -z, 4*z = -5*h + 1410. What is the remainder when (-20)/z*-10*77 is divided by 30? 14 Let q(m) = -m**3 + 12*m**2 + 18*m - 62. Let w be q(13). Suppose 125 = w*s + 2*l, -s = -6*l + 4*l - 31. Calculate the remainder when s is divided by 21. 18 Let a = 12020 - 10330. Calculate the remainder when a is divided by 77. 73 Let k(n) = n**2 + 16*n + 11. What is the remainder when k(12) is divided by 13 - (0/2 - 1)? 11 Let u(q) = -q + 144 - 454 + q**2 + 236. Calculate the remainder when 62 is divided by u(-9). 14 Let z = -10320 + 10394. Calculate the remainder when 211 is divided by z. 63 Suppose 2*b = a - 37, -2*a + 3*b - 102 = -5*a. Suppose -r = -a + 7. Calculate the remainder when r is divided by 5. 3 Suppose -4*v = l - 85, -23*l - v - 593 = -28*l. Calculate the remainder when 341 is divided by l. 107 Suppose 11*l - 4*b + 2619 = 14*l, -4*b = 4*l - 3492. Calculate the remainder when l is divided by 148. 133 Suppose 117*w + 0*w - 1539369 = 0. What is the remainder when w is divided by 8? 5 Suppose 0 = 2*z - 3*h - 1935, 2*h - 1488 = -2*z + 442. Suppose 190*q + z = 196*q. Calculate the remainder when q is divided by 27. 26 Calculate the remainder when 193 is divided by (-84)/(-8)*(1/(-2))/((-42)/112). 11 Suppose 96 = 2*u - 4*q, 4*u = 5*u - 5*q - 57. Let x(i) = i + 7. Let k be x(-11). Calculate the remainder when u is divided by -1 - -21 - (-7 - k). 19 Suppose -4*b + 8*u = 4*u - 2036, -3*b + u = -1537. Let r = 742 - b. Calculate the remainder when r is divided by 33. 30 Let a = 65 + -47. What is the remainder when 1580 is divided by a? 14 Let w = -73 - -77. Suppose 0 = -5*g - 0*g + 5, 4*g = 4*t - w. Suppose -t*f = 3*p - 38, 5*f - 65 = -p - 4*p. Calculate the remainder when 48 is divided by p. 0 Suppose 7 = 2*n - 7. What is the remainder when ((-40)/(-12))/5 - 112/(-3) is divided by n? 3 Suppose -2*a + 130 = -4*r, -126 = -2*a - r + 29. What is the remainder when 4198 is divided by a? 73 Suppose -14*v = -6 - 8. What is the remainder when 70 is divided by ((-196)/16 - -7)*(v + -5)? 7 Calculate the remainder when (18 - -2)/(-3 - (-40)/12) is divided by 49. 11 Suppose 3*r + 245 = 5*q, 2*q + r + 48 - 146 = 0. Suppose w - q = -6*w. Let x = -254 - -295. What is the remainder when x is divided by w? 6 What is the remainder when 361 + 1 + 6/((-57)/19) is divided by 195? 165 Let v(i) = i**2 + 3*i + 1. Calculate the remainder when (-326)/(-2) + ((-312)/(-6) - 44) is divided by v(4). 26 Suppose 5*a + 8*a - 1394 = -4*y, 0 = 4*a + 4*y - 440. What is the remainder when 617 is divided by a? 87 Let g(h) = -8*h**2 + 10*h - 31. Let i be g(4). Let b = -62 - i. What is the remainder when b is divided by 1*(-40)/(-12)*3? 7 Suppose 3*m = -110 - 43. Let u = m + 109. Let y = 99 - 89. Calculate the remainder when u is divided by y. 8 Suppose 307*u = 274*u + 51645. What is the remainder when u is divided by 112? 109 Suppose 0 = -9*a + 19 + 8. Suppose a*r - d + 7 = -4, 5 = -5*r - d. What is the remainder when 19 is divided by (r/3)/((-20)/150) + 2? 5 Let d = -24 + 1. Calculate the remainder when -7 - -1 - (-116 - d) is divided by 2. 1 Let p(g) = g**3 + 8*g**2 + 10*g - 1. Suppose 4*y + 2*m + 22 = 0, 4*y = 7*y - m + 19. Calculate the remainder when 76 is divided by p(y). 10 Suppose -2*u + 5*u - 451 = 2*v, 0 = -2*u + 5*v + 286. Let n = 225295 - 225283. What is the remainder when u is divided by n? 9 Let q = 1287 + -1322. Suppose -5 = m + 3. Let r = m - q. Calculate the remainder when 50 is divided by r. 23 Let d = 40 - 36. Suppose 0 = -d*s - 2*r - 26, -2*s + 2*r = 4*r + 16. Let a = 50 + s. Calculate the remainder when 133 is divided by a. 43 Suppose 4*w + 164 = 4*a, 19*a - 22*a + 2*w + 125 = 0. What is the remainder when 386 is divided by a? 42 Let h be (1*-5)/(50/100). What is the remainder when 99 is divided by (-2)/(-5) - 3/h*22? 1 Let c(h) = -h**3 - 29*h**2 + 99*h + 4664. Let b = 115 - -813. Calculate the remainder when b is divided by c(-26). 60 Let x = -3333 + 3456. What is the remainder when x is divided by 54? 15 Let t = 4408 + -4323. Calculate the remainder when 1867 is divided by t. 82 Let v(r) = -3*r**3 - 12*r**2 + 19*r + 17. What is the remainder when v(-10) is divided by 7? 3 Let f(g) = 98*g - 565. What is the remainder when 1217 is divided by f(6)? 21 Suppose 4*k + 4 = h, -2*k + 0*h - 2 = -h. Let q(z) = -z**2 + 27*z - 31. Let o be q(26). Calculate the remainder when 7 is divided by (k - 1)*(5 - (o + 11)). 1 Let g = -19038 - -20563. Calculate the remainder when g is divided by 504. 13 Suppose 0 = -2*i + 4*o + 194, -4*i = -9*i + 4*o + 485. Suppose -2*a - 53 = -g + i, 0 = -4*g - 2*a + 560. Calculate the remainder when g is divided by 18. 16 Suppose 1 + 3 = 2*m. Suppose 81 + 79 = m*z. Calculate the remainder when z is divided by 17. 12 Suppose 156 = s + 2*k, -4*s + 0*s + 616 = 4*k. Let l = -17 + 31. What is the remainder when s is divided by l? 12 Calculate the remainder when (-2)/12 + (43814/9)/(596/447) is divided by 13. 11 Let i(j) = -11*j - 58*j - 8*j + 6. Let h(d) = d**2 + 56*d - 60. Let s be h(-57). What is the remainder when i(s) is divided by 40? 37 Suppose 0 = -4*a + 3*z + 17670, 5*a - 4*z - 8233 = 13854. What is the remainder when a is divided by 201? 198 What is the remainder when 3375 is divided by (-20)/(28/(-266) + (-12)/247)? 125 Let q = 19 - 30. Let j(d) = 7*d + 20. Let y be j(q). What is the remainder when ((-72)/14)/(y/266) is divided by 15? 9 Suppose -289*q - 22792 = -257749. What is the remainder when q is divided by 27? 3 Let h = 34 - -13. Suppose 2*x - x + 5*l = -7, 5*l - 25 = -5*x. Calculate the remainder when h is divided by x. 7 Let b = 26843 - 26012. Calculate the remainder when b is divided by 122. 99 Let z = 11 + 6. Suppose -y + 141 = 3*x, -4*y + 5*x + 495 = -35. Calculate the remainder when y is divided by z. 16 Suppose 0 = -3*z - 3*n - 306, 4 + 96 = -z - 2*n. Let p = z + 451. Calculate the remainder when p is divided by 32. 27 Suppose 4*i + 1 = -2*o + 7, 0 = -2*i + 4*o + 8. What is the remainder when 37 is divided by i/(((-72)/(-28))/9)? 2 Let v(k) = k**2 + 2*k + 20. Let p(u) = 160*u + 2317. What is the remainder when p(-8) is divided by v(0)? 17 Suppose 5*v - n - 18 = 0, 0 = 2*v - 2*n + n - 6. Suppose 16*w + v*w - 940 = 0. What is the remainder when w is divided by 13? 8 Calculate the remainder when 630 is divided by (63/(-147))/((-4)/(1 + 83)). 0 Suppose 2*u + 85 + 1021 = q, -2*u + 5470 = 5*q. What is the remainder when 1147 is divided by q? 51 Let j = 77 + -16. Suppose 0 = -3*o + 3, -j = -3*y + y - o. Suppose -18*h - y = -20*h. What is the remainder when 74 is divided by h? 14 Let i(u) =
{ "pile_set_name": "DM Mathematics" }
f 1748 and 5092. 76 Calculate the greatest common factor of 20336 and 5224. 8 Calculate the highest common factor of 1133 and 472049. 103 What is the highest common factor of 46 and 730342? 46 Calculate the highest common factor of 285 and 3095670. 285 What is the highest common divisor of 12 and 1673340? 12 Calculate the highest common factor of 18799 and 11. 11 Calculate the greatest common divisor of 197904 and 558. 186 Calculate the greatest common factor of 154052 and 76. 76 What is the greatest common factor of 158754 and 12? 6 What is the greatest common factor of 108 and 194130? 54 Calculate the greatest common divisor of 37329 and 3749. 23 Calculate the greatest common factor of 1436726 and 62. 62 What is the highest common divisor of 51470 and 50? 10 Calculate the highest common divisor of 469 and 6748. 7 What is the highest common factor of 57 and 5434? 19 What is the highest common divisor of 156982 and 112? 14 Calculate the highest common divisor of 174144 and 60. 12 Calculate the highest common divisor of 58642 and 4304. 538 Calculate the greatest common divisor of 182 and 7488. 26 Calculate the highest common divisor of 105 and 456708. 21 Calculate the highest common factor of 1424 and 1264. 16 Calculate the highest common factor of 1060 and 8692. 212 Calculate the greatest common factor of 44188 and 44. 4 What is the greatest common factor of 2358186 and 6? 6 What is the highest common divisor of 78 and 1698? 6 Calculate the highest common divisor of 923 and 45937. 71 Calculate the greatest common factor of 1463 and 4807. 209 Calculate the greatest common factor of 871866 and 18. 18 Calculate the greatest common divisor of 20966 and 44. 22 Calculate the greatest common factor of 3801 and 1701. 21 What is the highest common factor of 16 and 108424? 8 What is the highest common divisor of 397 and 3441593? 397 What is the highest common divisor of 2840160 and 915? 915 What is the highest common divisor of 7160 and 256? 8 Calculate the highest common factor of 69 and 4519477. 23 Calculate the greatest common factor of 414 and 56258. 46 Calculate the highest common factor of 304 and 4731. 19 What is the highest common divisor of 216 and 1778760? 216 What is the highest common divisor of 75 and 10475? 25 What is the greatest common divisor of 10024 and 9666? 358 Calculate the greatest common divisor of 2450 and 4. 2 What is the highest common divisor of 207822 and 190? 38 What is the highest common divisor of 4 and 1242610? 2 What is the highest common divisor of 31382 and 71? 71 Calculate the greatest common factor of 442 and 18632. 34 Calculate the highest common divisor of 35 and 287161. 7 What is the highest common divisor of 2376 and 5736? 24 Calculate the highest common divisor of 130 and 12402. 26 What is the highest common factor of 2425 and 425? 25 Calculate the greatest common factor of 4790 and 62749. 479 Calculate the greatest common divisor of 5546 and 21056. 94 What is the greatest common factor of 495 and 308535? 15 What is the greatest common factor of 174216 and 336? 168 What is the highest common factor of 530695 and 55? 55 What is the greatest common factor of 1062 and 43614? 18 Calculate the greatest common factor of 181324 and 429. 143 What is the greatest common factor of 372 and 86676? 372 What is the greatest common divisor of 28400 and 5893? 71 What is the highest common divisor of 3336 and 456? 24 Calculate the highest common factor of 6439 and 959. 137 What is the highest common factor of 1812 and 1140654? 906 What is the greatest common factor of 170 and 47345? 85 What is the greatest common factor of 39669 and 33? 3 What is the greatest common divisor of 93 and 10617? 3 What is the highest common divisor of 2009 and 402829? 49 What is the highest common factor of 333 and 6253? 37 What is the greatest common divisor of 972 and 33777? 243 What is the highest common divisor of 254 and 7? 1 What is the highest common factor of 23775 and 225? 75 What is the highest common divisor of 17465 and 13825? 35 Calculate the highest common factor of 13 and 1424176. 13 What is the highest common factor of 42434 and 5194? 98 What is the highest common divisor of 808203 and 418? 209 What is the greatest common factor of 707277 and 843? 843 What is the greatest common divisor of 135 and 56349? 27 Calculate the highest common divisor of 351355 and 5. 5 Calculate the greatest common divisor of 20240 and 6380. 220 What is the highest common factor of 440 and 116710? 110 Calculate the highest common factor of 769302 and 18. 18 Calculate the greatest common factor of 276 and 102212. 92 Calculate the highest common divisor of 68 and 10788. 4 What is the highest common factor of 398529 and 18? 9 Calculate the highest common divisor of 27331 and 2. 1 Calculate the greatest common factor of 192 and 9144. 24 What is the highest common divisor of 241649 and 1169? 167 Calculate the greatest common divisor of 996459 and 24094. 1721 Calculate the highest common divisor of 2098581 and 3. 3 What is the greatest common factor of 12860 and 76? 4 What is the highest common divisor of 219643 and 157? 157 What is the greatest common factor of 1287 and 1611? 9 What is the greatest common factor of 896 and 4736? 128 What is the greatest common factor of 187864 and 184? 184 Calculate the greatest common divisor of 155924 and 3196. 68 Calculate the highest common divisor of 56 and 482468. 28 Calculate the greatest common divisor of 15985 and 80. 5 Calculate the highest common divisor of 41628 and 768. 12 Calculate the greatest common factor of 384 and 203712. 192 What is the greatest common divisor of 98416 and 144? 16 What is the highest common factor of 3224 and 196872? 104 What is the highest common divisor of 25 and 3630? 5 What is the highest common factor of 210 and 200445? 105 Calculate the highest common factor of 110 and 530. 10 Calculate the greatest common factor of 192 and 57472. 64 What is the highest common divisor of 14178 and 1390? 278 What is the greatest common divisor of 29300 and 500? 100 Calculate the greatest common factor of 8281989 and 166. 83 What is the greatest common factor of 1425 and 20325? 75 Calculate the highest common divisor of 2263 and 64015. 31 Calculate the highest common factor of 298842 and 30. 6 What is the greatest common divisor of 1258273 and 53? 53 What is the highest common divisor of 1071 and 10251? 153 What is the highest common divisor of 697675 and 110? 55 What is the highest common divisor of 28913 and 248253? 997 Calculate the greatest common divisor of 940 and 19035. 235 What is the greatest common factor of 904 and 49268? 452 Calculate the highest common factor of 3195 and 752742. 639 Calculate the highest common divisor of 76761 and 2133. 27 What is the highest common divisor of 215 and 31949? 43 What is the greatest common divisor of 21 and 3703? 7 What is the greatest common factor of 203450 and 1150? 50 Calculate the highest common factor of 32291 and 588. 49 What is the highest common divisor of 67070 and 570? 190 What is the greatest common divisor of 1436 and 146831? 359 Calculate the greatest common factor of 6532 and 13774. 142 Calculate the greatest common factor of 8477 and 692. 173 Calculate the highest common factor of 12 and 201732. 12 What is the greatest common divisor of 8550 and 2100? 150 What is the highest common divisor of 15291 and 63? 9 What is the highest common factor of 1353458 and 138? 46 What is the highest common factor of 225 and 957825? 225 What is the highest common factor of 4 and 178612? 4 What is the highest common divisor of 116022 and 2928? 366 What is the highest common divisor of 275 and 489555? 55 Calculate the greatest common factor of 52 and 86684. 52 What is the highest common factor of 63142 and 1834? 262 What is the highest common divisor of 121668 and 36? 12 What is the highest common factor of 240234 and 96? 6 What is the highest common divisor of 240 and 29670? 30 Calculate the highest common factor of 10208087 and 83. 83 Calculate the greatest common factor of 798 and 34048. 266 What is the greatest common divisor of 31 and 1632987? 31 What is the highest common factor of 581132 and 4? 4 Calculate the highest common factor of 19107 and 3069.
{ "pile_set_name": "DM Mathematics" }
unded to the nearest one hundred thousand? 903800000 Round 0.00453035353 to 6 decimal places. 0.00453 What is -33.03781048 rounded to 3 dps? -33.038 What is -0.000446259306 rounded to 5 dps? -0.00045 Round -145887950 to the nearest 1000000. -146000000 What is -14895154.5 rounded to the nearest 1000000? -15000000 Round -0.14184679 to 2 dps. -0.14 Round -11.36900757 to 2 decimal places. -11.37 Round 0.000068537295 to six decimal places. 0.000069 What is -0.1034393085 rounded to one decimal place? -0.1 Round 0.00004249261227 to 5 decimal places. 0.00004 What is 1.0537322792 rounded to 2 decimal places? 1.05 What is 16244904.56 rounded to the nearest 100000? 16200000 Round 0.00056891863 to five dps. 0.00057 What is -0.1337660064 rounded to 4 decimal places? -0.1338 What is -22285.734 rounded to the nearest 10000? -20000 Round -570.91242 to 1 decimal place. -570.9 Round -30.8914224 to 2 decimal places. -30.89 Round 19000.7554 to the nearest one hundred. 19000 Round -0.00001108412254 to six decimal places. -0.000011 What is -28591223 rounded to the nearest one million? -29000000 Round 18.59969439 to four decimal places. 18.5997 Round 0.000031508209 to 6 dps. 0.000032 What is 0.00006120646429 rounded to 5 dps? 0.00006 Round -0.0903543896 to 3 dps. -0.09 Round -3292778.165 to the nearest ten thousand. -3290000 Round 0.7067794 to one dp. 0.7 Round 178356.918 to the nearest ten. 178360 Round -2620066.59 to the nearest 10000. -2620000 Round -46883.5788 to the nearest integer. -46884 Round -0.00043220247 to 6 dps. -0.000432 What is -0.001141082801 rounded to four decimal places? -0.0011 Round 0.000371135747 to seven decimal places. 0.0003711 Round 1824873.273 to the nearest 100000. 1800000 What is 0.096176718 rounded to five decimal places? 0.09618 What is 313360.32 rounded to the nearest one hundred thousand? 300000 Round 712177398 to the nearest one hundred thousand. 712200000 Round 2010244107 to the nearest one hundred thousand. 2010200000 Round -372734.956 to the nearest 1000. -373000 Round 18423945000 to the nearest 1000000. 18424000000 What is -6151601.323 rounded to the nearest one thousand? -6152000 Round 5.40403276 to one decimal place. 5.4 Round 0.0664488654 to three dps. 0.066 What is -122642.3954 rounded to the nearest 10000? -120000 Round -0.0001373292933 to 5 decimal places. -0.00014 What is 47280414 rounded to the nearest one hundred thousand? 47300000 What is -5770.6894 rounded to the nearest integer? -5771 Round 0.0052598991 to three decimal places. 0.005 What is -0.000073822693 rounded to 5 dps? -0.00007 Round -0.00003982182064 to five decimal places. -0.00004 What is 0.00076431488 rounded to 5 dps? 0.00076 Round 6482.1355 to the nearest 1000. 6000 What is 231.47031 rounded to one decimal place? 231.5 Round -4.540558 to 3 decimal places. -4.541 What is 124.947046 rounded to the nearest one hundred? 100 What is 408013.8895 rounded to the nearest ten? 408010 What is -264232.13 rounded to the nearest ten thousand? -260000 What is -0.00000077930268 rounded to seven decimal places? -0.0000008 Round 19.393762 to the nearest 10. 20 What is -52.3533596 rounded to 2 decimal places? -52.35 Round 134294.788 to the nearest 100. 134300 What is -11692.368332 rounded to the nearest one thousand? -12000 Round -0.0000241324379 to seven dps. -0.0000241 Round 681727.13 to the nearest ten thousand. 680000 Round -17.193717 to one dp. -17.2 Round -4.4957319 to zero decimal places. -4 What is -89062343 rounded to the nearest ten thousand? -89060000 Round -0.0443296395 to 3 decimal places. -0.044 What is -557.05699 rounded to 0 dps? -557 Round 18.62864889 to two decimal places. 18.63 What is 0.000284772739 rounded to 5 decimal places? 0.00028 Round -0.2712508913 to four decimal places. -0.2713 What is -48.3221753 rounded to 1 dp? -48.3 What is 60246598 rounded to the nearest 10000? 60250000 Round 0.00066485012 to seven dps. 0.0006649 What is 60955.9796 rounded to the nearest ten thousand? 60000 What is 0.0005945227249 rounded to 4 decimal places? 0.0006 Round 7328757.932 to the nearest 10000. 7330000 What is 2401827.3 rounded to the nearest one hundred thousand? 2400000 What is -19256829.2 rounded to the nearest 1000? -19257000 What is -44432028.9 rounded to the nearest one hundred thousand? -44400000 Round -0.603810485 to four decimal places. -0.6038 Round 0.00910204173 to 3 decimal places. 0.009 Round 0.0002211044595 to 7 dps. 0.0002211 What is 0.000606097819 rounded to 5 dps? 0.00061 Round -0.013565298281 to three decimal places. -0.014 Round -6.1827564 to 1 dp. -6.2 Round -22.0071457 to 2 dps. -22.01 What is 4040.92578 rounded to the nearest 100? 4000 Round 828744.758 to the nearest 10. 828740 Round 0.0000071923857 to 6 dps. 0.000007 What is 26.02006 rounded to 1 dp? 26 What is 75.595951 rounded to 1 decimal place? 75.6 Round 402542.31 to the nearest ten thousand. 400000 What is 2.290174597 rounded to three dps? 2.29 What is 606.482215 rounded to 2 decimal places? 606.48 Round 71966.4016 to the nearest one thousand. 72000 What is -43085063670 rounded to the nearest one million? -43085000000 Round -0.00342904766 to 7 decimal places. -0.003429 Round -1.77920215 to one decimal place. -1.8 What is -9.442165 rounded to 0 dps? -9 Round -0.000139973156 to 6 dps. -0.00014 What is -23.365445 rounded to one dp? -23.4 What is 12.7497136 rounded to three dps? 12.75 Round -48204.07793 to the nearest integer. -48204 Round -225.946189 to one dp. -225.9 What is 0.00204221845 rounded to 6 decimal places? 0.002042 Round -5554773940 to the nearest 1000000. -5555000000 What is -8517743.028 rounded to the nearest 100000? -8500000 What is -0.00036717951 rounded to five dps? -0.00037 Round 0.272786447 to 1 decimal place. 0.3 What is -2855466.6 rounded to the nearest one hundred thousand? -2900000 Round 0.5289155757 to four decimal places. 0.5289 Round 3.47859795 to the nearest integer. 3 What is -1386834.62 rounded to the nearest 10000? -1390000 Round 90916760 to the nearest 100000. 90900000 Round -0.000187206938 to seven dps. -0.0001872 Round -670515723.8 to the nearest 1000000. -671000000 Round 1662.83276 to the nearest one hundred. 1700 What is 0.0207263368 rounded to six decimal places? 0.020726 Round -6499.67277 to the nearest 100. -6500 What is -0.00119437007 rounded to five dps? -0.00119 What is -0.0001835724013 rounded to five decimal places? -0.00018 What is -335850.242 rounded to the nearest ten thousand? -340000 Round -0.0000258620938 to 7 decimal places. -0.0000259 Round -3727916 to the nearest 100000. -3700000 Round 43931.28915 to the nearest ten. 43930 Round 0.919630684 to four decimal places. 0.9196 What is -1.82690474 rounded to 2 dps? -1.83 What is 6145030850 rounded to the nearest 1000000? 6145000000 Round 647.10278 to the nearest 1000. 1000 Round 0.001421534509 to 7 decimal places. 0.0014215 Round 0.54241673 to three dps. 0.542 What is 0.090385193 rounded to 5 dps? 0.09039 Round 0.00158131878 to 4 decimal places. 0.0016 What is -2802060900 rounded to the nearest one million? -2802000000 Round 0.448719428 to five decimal places. 0.44872 What is 1260032450 rounded to the nearest one million? 1260000000 What is -689040.2147 rounded to the nearest 100000? -700000 Round 7.353626666 to one dp. 7.4 Round -181.3662 to the nearest 10. -180 Round -2565240640 to the nearest 100000. -2565200000 Round -3.725639 to 3 dps. -3.726 What is 0.012075297 rounded to five dps? 0.01208 What is 427537200 rounded to the nearest 1000000? 428000000 What is -0.001700968072 rounded to seven decimal places? -0.001701 What is 31023542 rounded to the nearest 10000? 31020000 What is -2015384.17 rounded to the nearest 100? -2015400 Round -0.0000875204296 to five dps. -0.00009 Round -0.000001832150685 to seven decimal places. -0.0000018 Round 167.7174109 to 2 dps. 167.72 Round 0.0041000788 to 5 decimal places. 0.0041 Round 0.001153829441 to 6 decimal places. 0.001154 Round -0.314119329 to four dps. -0.3141 Round -0.251624505 to one decimal place. -0.3 Round -21716.11825 to the nearest 10. -21720 What is -0.0366712626 rounded to 3 decimal places? -0.037 Round -1727437.776 to the nearest 10000. -1730000 What is -0.000000998259 rounded to six decimal places? -0.000001 What is -0.00065909527 ro
{ "pile_set_name": "DM Mathematics" }