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3. Let s be (15/(-2))/(2/f). Is 6 a factor of 160/(-6)*(s/10 + -3)? False Let t(s) = 10*s**2 + 46*s - 868. Is t(17) a multiple of 4? True Let l be -112*(1 + 1/(7/(-13))). Is 8 a factor of (-2 - l/(-40)) + 1646/10? False Suppose 0 = 3658*p - 3656*p - 10164. Is 43 a factor of p? False Suppose 4*l - 5*k = -4, -4*l = k + 15 + 13. Is (4/(24/(-33)))/(l/36) a multiple of 2? False Let g be (-1630)/(-6) + 4*6/(-36). Suppose 4327 = 8*v + g. Is 43 a factor of v? False Let j = 49 + -104. Let a = -52 - j. Suppose 0 = -3*o - 0*r - a*r + 153, -o - 2*r + 50 = 0. Does 7 divide o? False Suppose 5*g = 45 - 35. Suppose g*b + 2*o = -152 + 514, -5*b + o + 899 = 0. Is b a multiple of 10? True Let l = 370 - 322. Is 10 a factor of 4/((4/(-6))/((-3040)/l))? True Let a(c) = -2*c**3 + 13*c**2 + 57*c - 188. Is a(-20) a multiple of 8? True Let q(d) = 23*d**2 + 81*d - 301. Is q(4) a multiple of 3? False Let c(v) = -v**3 - 3*v**2 + 5*v + 5. Suppose -2*y = -4*y - 8. Let m be c(y). Is 30 a factor of 213 + (2 - m - (-16)/(-4))? True Let p = -2510 + 581. Is p/(-18) - 6/36 - -1 a multiple of 18? True Let w be 77 - -2*3/(-6). Let d be (5/(30/w))/((-8)/(-12)). Let c = 17 + d. Is 8 a factor of c? False Is 12 a factor of 1*14087 + 4389/(-399)? True Suppose -3*m + a + 148 = -0*m, 5*m - 254 = -2*a. Suppose -295 = -5*w - m. Let v = w - -39. Is 22 a factor of v? True Suppose 1 - 5 = 4*s. Let x(b) = 415*b**2 + b. Does 9 divide x(s)? True Suppose -10784 = 8*m + 3352. Let x = -922 - m. Does 10 divide x? False Let c(w) = 92*w**3 - 2*w**2 + w + 4. Let y be 8 + 42/(2 - 9). Is 52 a factor of c(y)? False Let a(n) = -2. Let j(c) = -6*c + 34. Let f(m) = 48*a(m) + 3*j(m). Let t be f(-7). Let v = 146 - t. Is v even? True Let m = -67 + 16. Let q = -22 + m. Let l = q - -163. Does 15 divide l? True Does 5 divide 696 - ((-1 - 13) + 23)? False Is 7 a factor of (2125 - -2)/(5214/(-154) - -34)? True Let a(n) = 15*n - 27. Let v be a(3). Suppose 5*q - 1992 = -2*l, -13*l + 3*q = -v*l + 4999. Is l a multiple of 33? False Suppose -3*k + 12 = 0, -5*c = 2430*k - 2433*k - 68243. Does 11 divide c? True Suppose 4*d = 5*g - 24477, 1296*g - 1301*g + 24491 = 3*d. Is 59 a factor of g? True Is (-3787572)/(-270) - (-26)/(-11115)*19 a multiple of 12? True Let r be 4 - ((-6)/(-21) + 26/7). Suppose -864 = -r*f - 8*f. Is f a multiple of 12? True Let c(k) = 18*k**2 + 9*k - 14. Let b be c(-6). Suppose v + 580 = 4*p + 3*v, -4*p + b = 3*v. Suppose -5*m + 0*m + p = 2*n, 0 = 5*m - n - 145. Does 29 divide m? True Let h = 29050 + -16675. Does 5 divide h? True Let y(x) = -2*x**3 - 4*x**2 + 3. Let r be y(3). Let q = -216 - -405. Let o = r + q. Is o a multiple of 12? False Suppose 26*k + 361852 = 148*k. Does 57 divide k? False Is 21017/((-14 - -15)/(1 + 0)) a multiple of 18? False Let g(w) = -10*w - 53. Suppose -3*z = -2*x - 41, -3*x + 5*z - 101 + 37 = 0. Does 11 divide g(x)? True Let k be (156/(-21))/(-2) - (-4)/14. Suppose -4*j = -k*v - 4008, 4*v + 32 = 20. Does 37 divide j? True Let l be (-2)/(-6) - 8200/(-24). Suppose a = -6*a + 28. Suppose -18 - l = -a*b. Does 9 divide b? True Suppose -3*w = 0, 39549 = 4*m - 5*w - 1931. Is m a multiple of 17? True Is 16 a factor of (-297)/((-4)/((-36)/(-3)))? False Suppose 2*w - 2*l - 10 = 0, -4*l - 15 = 2*w - l. Suppose 31*f - 2197 - 3228 = w. Is 6 a factor of f? False Suppose 5*t + 9 = 29, 3*d + 4 = t. Suppose d = 4*a + m - 886, -2*a = -2*m - 3*m - 454. Is 40 a factor of a? False Let p(g) = g**2 - 17*g + 208. Let m be (-207)/(-36)*(3 - -1). Is p(m) a multiple of 12? False Let b(v) = 301*v - 840. Is 11 a factor of b(6)? False Suppose 129 = n + 43. Let g = -80 + n. Suppose 1832 = 2*q + g*q. Is 15 a factor of q? False Suppose 0 = 4*t - 4*s - 178876, 1270*t + 5*s - 223525 = 1265*t. Is t a multiple of 162? True Suppose -2*u = -2*q + 1408, -2*q = 2*u - 129 - 1279. Is q a multiple of 44? True Let s = -42769 + 60464. Does 78 divide s? False Let n(m) = 128*m**2 - 31*m - 254. Does 3 divide n(-12)? False Let c(g) = 933*g - 3107. Is c(6) a multiple of 171? False Suppose -6*l - 2149 = -52801. Is 63 a factor of l? True Let o(i) = 101*i - 212. Let c be o(10). Suppose -5*u = d - 212, 4*d + 0*d - 5*u = c. Does 8 divide d? False Does 96 divide (42611/2 - -2) + 14*18/56? True Let z be 4/(-26) - 4125/143. Let p = 34 + z. Suppose v - 75 = -p*u, 4*u + 5*v - 38 = 22. Is u even? False Suppose 26 = -9*x - 10. Let t be (45/10 + x)*2. Is (-1 - t - -18) + (-2 - 2) a multiple of 2? True Suppose 25 = -9*t - 461. Let q = t - -56. Suppose -q*m + 39 = -169. Does 13 divide m? True Suppose 3*i = -i - 88. Let n = i + 51. Suppose k - n = 91. Is 24 a factor of k? True Let d = 4751 + 1178. Is d a multiple of 127? False Let p be 6*1/2 - -2. Suppose 0 = p*q + 3*r - 27 + 8, 0 = 5*q - 2*r - 4. Suppose 0 = -4*y - 3*i + 22, q*y - 3*y + i + 9 = 0. Is y a multiple of 2? False Let h = 1855 - -1090. Is 19 a factor of h? True Let v = 57040 + -25232. Is 14 a factor of v? True Let t = -74 - -39. Let n = -37 - t. Let g(w) = -81*w + 7. Is 15 a factor of g(n)? False Let u be -5*1/(-5) + 5. Suppose u*m + 192 = 42. Is 190/4*(-20)/m a multiple of 9? False Let g(n) = -163*n + 152. Let h be ((-1)/2)/((-46)/12 + 4). Does 12 divide g(h)? False Let p(d) = -d**2 - 22*d + 43. Let z be p(-14). Suppose -8*g + 149 = -z. Does 35 divide g? False Suppose -6430 = -166*i + 176*i. Suppose 4*m + 5*x = -1473, -6*x + 12 = -2*x. Let b = m - i. Does 54 divide b? False Suppose 912*i - 779*i = 1849232. Is 44 a factor of i? True Let i = -60 + 64. Suppose -g + 11 = -9. Suppose -m + i*o + 16 = -30, g = -5*o. Does 18 divide m? False Is (-13 + 21)*802 + 0 + -9 a multiple of 50? False Let u = 7400 + -7165. Let k(c) = -4*c**2 - c - 6. Let f be k(-6). Let y = f + u. Is y a multiple of 12? False Let j be (-539)/88 - (-1)/8. Let k = 2 + j. Is k*(3/12*0 - 25) a multiple of 10? True Let o(y) = -y**3 - 12*y**2 - 3*y - 12. Let g be (-2 + -1)/(-3) + 13 + -26. Is 4 a factor of o(g)? True Let p = -17278 - -18645. Is p a multiple of 96? False Let l = 3606 + -2458. Let f = l + -772. Suppose 12*x - f = 8*x. Is 13 a factor of x? False Does 66 divide 2946 - ((13 - 16) + 1/(-1))? False Suppose 0 = 7*t - 1474 - 3090. Let r = t - 439. Is r a multiple of 8? False Suppose 8*t + 38 - 126 = 0. Let x(o) = -o**3 + 9*o**2 + 21*o + 16. Let b be x(t). Suppose b*q - 15*q + 30 = 0. Is q even? False Suppose -4*t + 56*d + 6661 = 55*d, -d = -t + 1663. Is t even? True Let v(g) = 17*g**2 - 11*g + 10. Let b be v(-5). Let p = 1 + b. Is 12 a factor of p? False Let v(r) = r**2 + 6*r - 70. Let h be v(6). Suppose n = 2*k - 629, -7*n = -h*k - 2*n + 625. Is 35 a factor of k? True Suppose j = -4*s + 27, -5*s - 2*j + 40 = -7*j. Suppose -c = -s*c. Suppose c = p - 10. Is p a multiple of 7? False Suppose -23*f - 16032 = -3*y - 21*f, 3*y = 3*f + 16029. Does 9 divide y? True Suppose 65*b = 55*b - 40. Let j(w) = -194*w + 54. Does 42 divide j(b)? False Let q be 954 + 9/9 + 4. Let s = 1386 - q. Is 3 a factor of s? False Suppose -2*y = 4*o + 401 - 1697, 2*y - o - 1301 = 0. Let f = y - 464. Does 62 divide f? True Let m = -4165 - -9336. Is 6 a factor of m? False Let p(z) = 71*z**2 - 324*z + 154. Does 89 divide p(27)? True Let p be (72/66)/6 + (-603)/(-11). Suppose -p + 775 = 10*h. Does 4 divide h? True Suppose -48*o + 138*o - 81950 = -20*o. Does 4 divide o? False Suppose -40 = -3*x + 47. Suppose -x*n = -31*n + 72. Suppose 284*j - 285*j + n = 0. Does 13 divide j? False Let r(p) = -721*p**2 + 36*p - 17. Let n(f) = 361*f**2 - 17*f + 8. Let c(z) = 13*n(z) + 6*r(z). Does 13 divide c(1)? True Suppose 0 = 3*l - 3*p - 2037, 4*p - 3388 = -5*l + 2*p. Let i = l + -98. Is i a multiple of 14? False Is 8 a factor of 1/11 + (127386/99)/14? False Suppose 146044 + 378200 = 79*c. Is 28 a factor of c? True Suppose 2*u = 5 + 5. Let o(j) = 2*j**3 - 13*j + 17. Is 6 a factor of o(u)? False Is 33 a factor of (1 - (-6)/((-168)/10577))*-24? True Let p be (-72)/(-3) + 3 - 4. Let v(r) = -r**2 + 16*r - 53. Let g be v(p). Let d = -151 - g. Is d a multiple of 7? True Let s(w) = w + 25. Let k be s(-20). Let c be (k - 12)/(1/(-11)). Let b = c + -24. Is b a multiple of 21? False Let b be (4/4)/(2/(-6)). Let m be 60 - (0/b + (-4 - -1)). Does 7 divide m + (4 + 1 - 4)? False Suppose 28*g - 325764 = 300316. Is g a multiple of 86? True Let h be 2/(-11) - (-2720)/440. Is
{ "pile_set_name": "DM Mathematics" }
k(n) = 3015*n**2 + 25*n + 15. Let t(a) = -5*b(a) + 201*k(a). Calculate t(f(g)). 3015*g**2 Let x(q) = -598*q. Let m(o) be the first derivative of -o**2 - 1597. Give m(x(k)). 1196*k Let p(y) = -y**2. Let q(a) = -206*a - 105223. Give q(p(m)). 206*m**2 - 105223 Let p(z) = -22*z. Let y(v) be the second derivative of -v**6/360 + v**4/3 + v**3 - 96*v. Let c(x) be the third derivative of y(x). Give c(p(k)). 44*k Let d(b) be the second derivative of -5*b**4/12 + 1063*b - 2. Let c(a) = 71*a. Determine c(d(w)). -355*w**2 Let k(j) = 4*j. Let y(h) = -2*h**2 - 895*h + 6632. What is k(y(a))? -8*a**2 - 3580*a + 26528 Let y(h) = -11144150*h**2. Let w(v) = 2*v. What is y(w(g))? -44576600*g**2 Let o(i) = 9*i. Let p be 0/(-4) + -5*4/(-10). Let w(s) = 3*s - 5*s + 2*s - p*s**2. Give o(w(r)). -18*r**2 Let m(w) = w**2. Let v(p) = -440*p + 64. Let n(x) = 3*x + 2. Let o(u) = -160*n(u) + 5*v(u). Give m(o(i)). 7182400*i**2 Let w(t) = -37*t - 22. Let u(f) = -27*f**2 + 16*f - 3. Determine w(u(j)). 999*j**2 - 592*j + 89 Let j(u) = 11*u**2. Let a(b) = 1278*b**2 + 162*b + 2. Determine a(j(h)). 154638*h**4 + 1782*h**2 + 2 Let q(h) = -726*h. Let z(c) = -3668*c**2 + 5*c - 3. What is z(q(j))? -1933314768*j**2 - 3630*j - 3 Let s(b) = 330640*b**2 + 10. Let w(l) = -4*l. Give w(s(t)). -1322560*t**2 - 40 Let j(v) = v**2 + 31 + 3*v**2 - 2*v**2. Let c(i) = 2340 - 7*i + 2*i - i + 2341 - 4681. Give c(j(n)). -12*n**2 - 186 Let o(s) = 20*s**2 + 179. Let a(d) = -d + 5010. What is a(o(g))? -20*g**2 + 4831 Let l(c) = -3*c**2. Let x = -6 + 59. Let s(p) = x + 96*p + 9 - 6. Let g(z) = 5*z + 3. Let t(h) = -56*g(h) + 3*s(h). What is l(t(v))? -192*v**2 Let f(l) = 3*l. Let b(w) = -6746236*w**2. Calculate b(f(u)). -60716124*u**2 Let p(j) = -18*j - 36*j - 27*j + 24*j. Let u(v) = -73050 + 73050 - v. Give p(u(w)). 57*w Let i(v) = 1203*v - 235*v + 6290*v + 6842*v. Let g(y) = -2*y. Give g(i(o)). -28200*o Let z(q) = 2. Let f(i) = 9*i - 11. Let j be f(1). Let l(m) = -m - 5. Let p(b) = j*l(b) - 5*z(b). Let h(x) = -2*x**2. Give h(p(k)). -8*k**2 Let o(w) be the third derivative of -16*w**2 - 3 - 33/8*w**4 + 0*w + 1/3*w**3. Let t(g) = -g. What is t(o(i))? 99*i - 2 Let q(j) = -3*j - 7374. Let b(t) = -2*t**2 - 13767. What is q(b(s))? 6*s**2 + 33927 Let h(z) be the third derivative of 16*z**4/3 - 4*z**3/3 + 4413*z**2. Let f(d) = 5*d. What is h(f(n))? 640*n - 8 Let k(z) be the third derivative of -7/60*z**5 + 5 + z**2 + 0*z**4 + 0*z + 0*z**3. Let c(t) be the second derivative of -t**4/6 - 8*t. Determine k(c(f)). -28*f**4 Let d(l) = -94*l - 1878. Let a(q) = -12*q. What is a(d(v))? 1128*v + 22536 Let j(y) be the third derivative of y**5/60 + 111*y**2 + 2*y + 11. Let g(v) = -2917*v**2. Calculate j(g(n)). 8508889*n**4 Let s(d) be the first derivative of d**6/180 + 5*d**3/3 + 6. Let j(c) be the third derivative of s(c). Let v(l) = -56*l - 69*l + 111*l. Give v(j(u)). -28*u**2 Let r(j) = -9*j. Let l(x) = 193*x - 72814. Determine r(l(y)). -1737*y + 655326 Let p(s) = 4*s**2 + 9*s. Let x(b) = 38309*b. Calculate x(p(k)). 153236*k**2 + 344781*k Let g(c) = -7*c - 6. Let m be g(-1). Suppose -6*s - 9 = -3*s - 3*x, 3*s = 4*x - 13. Let z(w) = 67*w + s - m - 66*w. Let u(l) = -50*l**2. Determine z(u(i)). -50*i**2 Let i(a) = a**2. Let s(x) = x + 2. Let m be s(0). Let r(g) = 3*g**2 - 2*g + 64. Let q be r(6). Let n(d) = -3*d + 154 + m*d + 6*d - q. Calculate i(n(y)). 25*y**2 - 60*y + 36 Let l(c) be the second derivative of -2 + 0*c**3 + 0*c**2 - 1/6*c**4 - 20*c. Let u(y) = -301*y. What is l(u(n))? -181202*n**2 Let y(q) = -2*q. Let a(g) = 157313687*g. Give a(y(k)). -314627374*k Let d(p) = -555*p - 22. Let f(u) = 16*u**2. Give f(d(s)). 4928400*s**2 + 390720*s + 7744 Let g(j) = j**2 + 4. Let q(t) = -t**2 - 3. Let a(u) = 3*g(u) + 4*q(u). Let y(c) = 3 + 29338*c - 8 + 5 - 29349*c. What is y(a(o))? 11*o**2 Let v(j) = 23*j**2. Let l(s) = -106390*s**2. Determine v(l(c)). 260333138300*c**4 Let k(n) = 8*n - 18. Let s(i) = -22*i + 48. Let v(t) = 8*k(t) + 3*s(t). Let o(a) = -20*a**2 + 3*a + 10. Give o(v(b)). -80*b**2 - 6*b + 10 Let a be (105 - 0)*(0 - 12/(-9)). Let d(i) = -a*i**2 + 44*i**2 + 54*i**2. Let w(g) = -4*g. What is d(w(z))? -672*z**2 Let g(n) = 14*n**2. Let s(z) be the third derivative of z**4/8 + 34*z**3/3 - 5*z**2 - 28*z - 1. What is s(g(a))? 42*a**2 + 68 Let t(y) = 1214*y**2 - 2437*y**2 + 1219*y**2. Let k(g) = 5*g**2 + 55*g. What is k(t(w))? 80*w**4 - 220*w**2 Let g(q) = -85888190*q. Let i(u) = -2*u. Calculate i(g(m)). 171776380*m Let s(t) = t**2. Let x be (-78)/52 + 23/10 - (-22)/10. Let r(v) be the first derivative of -40 + 0*v - 1/3*v**x + 0*v**2. Give s(r(b)). b**4 Let n(f) be the third derivative of f**4/12 - 5*f**2 - 124. Let p(w) = 2*w - 62*w**2 + 20*w**2 - 2*w. Calculate n(p(d)). -84*d**2 Let l(g) be the first derivative of -g**2 - 132. Let q(b) be the first derivative of 3 + 0*b + 23/2*b**2. Calculate l(q(v)). -46*v Let l(z) = 23*z. Let n = 46 + -43. Suppose -n*y + 26 = 2*w, -y + 4*w = 5 + 5. Let p(h) = h - 5*h - y*h + 12*h. Determine p(l(t)). 46*t Let b(j) = 94*j + 94*j - 283*j + 97*j + 2 - 2 - 5. Let h(m) = 2*m. Let r(l) = -l. Let z(o) = h(o) + 4*r(o). Determine z(b(c)). -4*c + 10 Let v(z) = -6*z. Let r(w) = w. Let u = 62 + -63. Let q(a) = u*v(a) - 8*r(a). Let t(m) = -3*m - 11*m - 4*m. Determine t(q(x)). 36*x Let o(f) = -f. Suppose -x - 20 = 9*x. Let n(k) = -k**2 + 2*k - 71. Let y(d) = d**2 - d. Let j(g) = x*y(g) - n(g). Give j(o(i)). -i**2 + 71 Let s(x) = -688198*x. Let g(q) = -16*q**2. What is s(g(z))? 11011168*z**2 Let m = 3 - 1. Let o(d) = -d**2 + 5*d**m - 3*d**2. Let n(r) = -2*r + 3197880 - 3197880. Calculate o(n(p)). 4*p**2 Let x(u) be the second derivative of u**4/4 + 7*u. Let f(r) be the third derivative of 3*r**4/4 - r**3/6 - 18*r**2. Calculate x(f(z)). 972*z**2 - 108*z + 3 Let p(i) be the third derivative of -3*i**4/4 + 28*i**2 - 58*i. Let j(h) = -74*h. What is p(j(v))? 1332*v Let d(x) = 4*x. Let b = 180 + -51. Let s(p) = -38*p + b*p - 40*p - 29*p. Give d(s(u)). 88*u Let y(z) be the third derivative of 0*z**3 + 0*z**4 + 0*z - 1/60*z**5 - 24*z**2 + 0. Let l(o) = -3*o**2. Calculate l(y(p)). -3*p**4 Suppose l = 5*l - 8. Let b be (-7)/28*-2*(0 - 0). Let x(o) = 3*o**l + b + 5 - 5. Let j(i) = 2*i**2. Determine x(j(y)). 12*y**4 Let b(x) = x. Suppose -14*w + 19 = -1129. Let d(j) = -168 + 86 + w + 142*j. Determine b(d(l)). 142*l Let f(s) = 7*s. Let c be (-6)/(-12)*(1 - 1). Let g(k) = 4 + c - k - 5. Let b(d) = -6*d - 5. Let w(l) = 2*b(l) - 10*g(l). Give f(w(z)). -14*z Let q(t) = -3*t. Let p(y) = -2261303*y**2. Calculate p(q(o)). -20351727*o**2 Let c(o) = -4*o. Let j(z) be the second derivative of -7*z**5/12 + z**4/24 + 37*z**2/2 - 119*z. Let y(x) be the first derivative of j(x). What is y(c(a))? -560*a**2 - 4*a Let v(z) = -2*z**2. Let b(o) = -8695253*o**2. Give b(v(a)). -34781012*a**4 Let p(f) = -20*f**2 - 18*f. Let y = 61 + -59. Let x(l) = 3 - 748*l**y + l - 3 + 749*l**2. Let n(m) = -2*p(m) - 36*x(m). Let o(q) = -22*q. What is o(n(a))? -88*a**2 Let w(k) be the first derivative of -2*k**2 - 49*k - 420. Let c(u) = 4*u**2. Calculate w(c(i)). -16*i**2 - 49 Let w(v) = 4615*v**2 + 9982*v. Let i(k) = -5*k. Calculate w(i(q)). 115375*q**2 - 49910*q Let m(c) = 34*c. Let r(x) = -24*x - 26 + 120 - 44 - 50. What is r(m(g))? -816*g Let q(f) = 24 - 17 + 2*f + 71. Let y(b) be the first derivative of -b**2/2 + 735. Give q(y(l)). -2*l + 78 Suppose o + 2*o + 3*g = 27, -5*o = -3*g - 37. Let s(d) = 5 - 5 + o*d. Let r(c) = 112*c**2 - 371*c**2 + 120*c**2 + 135*c**2. Give s(r(q)). -32*q**2 Let a(c) be the second derivative of -343*c**4/4 + 758*c. Let y(u) = -2*u**2. Determine y(a(i)). -2117682*i**4 Let t(k) = -48459*k + 1. Let j(g) = 5896*g. Calculate t(j(s)). -285714264*s + 1 Let o(h) = -23*h. Let q(k) be the third derivative of k**5/30 + 29*k**3/6 - 371*k**2 - 2*k. Give q(o(j)). 1058*j**2 + 29 Let w(y) = -8*y + 5. Let j(a) = -36565*a. What is w(j(z))? 292520*z + 5 Let t(x) = 5*x + 1. Let n = 25 - 19. Suppose -19*d - n = -22*d. Let s(j) = 33 - 33 - d*j. What is s(t(b))? -10*b - 2 Let f(y) = -33*y**2. Let w(m) = -311*m + 971*m - 315*m - 313*m. Determine f(w(q)). -33792*q**2 Let i(u) = -3*u. Suppose -21*h + 30 = -18*h. Let m(c) = h*c**2 - 3298*c + 3298*c. Give m(i(p)). 90*p**2 Let h(g) = -595*g**2. Let j(x) = 13*x + 200. Give j(h(i)). -7735*i**2
{ "pile_set_name": "DM Mathematics" }
p(z) be the third derivative of 0*z**4 + 2/135*z**5 + 0*z**3 - 71*z**2 - 4/945*z**7 + 0 + 1/540*z**6 + 0*z - 1/1512*z**8. Suppose p(x) = 0. Calculate x. -4, -1, 0, 1 Let d(p) be the first derivative of -p**4/26 - 16*p**3/3 - 2365*p**2/13 + 36300*p/13 + 1964. Determine y, given that d(y) = 0. -55, 6 Determine a so that 4155*a**2 + 957*a + 8*a**4 + 2475*a**3 - 563 + 68*a - 8*a**4 + 35*a**4 - 127 = 0. -69, -1, 2/7 Let f(h) be the first derivative of -104 + 108/11*h + 2/55*h**5 + 1/2*h**4 + 30/11*h**3 + 81/11*h**2. Let f(y) = 0. What is y? -3, -2 Let o(z) be the second derivative of 5/72*z**4 - 15*z + 25/6*z**2 + 1 - 35/36*z**3. Factor o(i). 5*(i - 5)*(i - 2)/6 Let q(g) be the third derivative of g**8/112 + 131*g**7/280 - 169*g**6/160 + 17*g**5/40 - 740*g**2. Let q(t) = 0. Calculate t. -34, 0, 1/4, 1 Let z(m) be the third derivative of m**8/23520 - m**7/8820 - m**4/12 + 9*m**3 + 7*m**2 - 1. Let d(a) be the second derivative of z(a). Solve d(w) = 0. 0, 1 Suppose 562933*k = 562910*k. Find o, given that -o**4 - 3/2*o + k - 1/2*o**5 + o**2 + 2*o**3 = 0. -3, -1, 0, 1 Let i be 42090/(-1610) - (-81)/3. Find b, given that 0*b**3 + 0 + 3/7*b - i*b**4 + 6/7*b**2 - 3/7*b**5 = 0. -1, 0, 1 Suppose 14*l + 14 = 4*s + 15*l, -2*s + 16 = -4*l. Determine i, given that -3*i - 2 - 2*i + 4*i**s - 3*i - 8*i**3 - 12*i**2 - 4*i**4 - 2*i**4 = 0. -1 Let j(t) be the first derivative of 15 + 33*t + 1/9*t**4 + 338/3*t**2 + 52/9*t**3. Let n(q) be the first derivative of j(q). Let n(y) = 0. What is y? -13 Suppose 0 = -5*z + 2*n, 51*n - 55*n = -2*z - 16. Suppose -t**3 - 6*t**2 + 0*t**2 + 2*t**2 - 11*t**z + t**4 + 19*t - 2*t**3 + 30 = 0. What is t? -3, -1, 2, 5 Let x(p) be the first derivative of 0*p - 81 + 4/25*p**5 - 4/5*p**4 + 8/5*p**2 - 4/15*p**3. Let x(m) = 0. Calculate m. -1, 0, 1, 4 Let b(u) be the third derivative of 48*u**2 - 1/90*u**5 + 0*u - 64/9*u**3 + 0 + 4/9*u**4. Factor b(o). -2*(o - 8)**2/3 Suppose 0 = f - 4*o - 5, 4*f - 5*o = -3*o + 62. Factor -f + 6*q + 17 - 32*q**2 + 26*q**3. 2*q*(q - 1)*(13*q - 3) Let m be ((-12)/(-78))/(120/65). Let w(a) be the second derivative of 9*a + 0 + m*a**4 - 4/3*a**3 + 8*a**2. Suppose w(o) = 0. What is o? 4 Let b(g) = -g**3 + 4*g**2 - 53*g + 393. Let y be b(6). Determine m, given that 111/2*m**y + 9/2*m**4 + 82*m + 113*m**2 + 20 = 0. -10, -1, -2/3 Let c(m) = -10*m**2 + 192*m + 922. Let h(x) = -4*x**2 + 63*x + 307. Let k(n) = -3*c(n) + 8*h(n). What is z in k(z) = 0? -31, -5 Let o(n) be the second derivative of n**8/560 + 2*n**7/175 - 3*n**6/50 + 247*n**2/2 - 21*n - 1. Let f(q) be the first derivative of o(q). Factor f(w). 3*w**3*(w - 2)*(w + 6)/5 Let p(c) be the first derivative of -1/8*c**3 + 2*c - 11/8*c**2 + 72. Factor p(g). -(g + 8)*(3*g - 2)/8 Let s(v) = 3*v**2 + 2*v + 1. Let d be s(-1). Factor 67*f**d + 8109 + 6471 + 540*f - 62*f**2. 5*(f + 54)**2 Let b(y) be the third derivative of y**5/180 + 13*y**4/72 - 5*y**3 + 6*y**2 - 42*y. Factor b(g). (g - 5)*(g + 18)/3 Let n(y) be the second derivative of y**4/36 - 265*y**3/9 + 70225*y**2/6 + 412*y. Factor n(h). (h - 265)**2/3 Let m(a) be the first derivative of 0*a + 8*a**3 + 1/3*a**6 + 7*a**4 + 8/3*a**2 + 38/15*a**5 - 49. Factor m(s). 2*s*(s + 2)**3*(3*s + 1)/3 Let q(u) be the second derivative of -2/5*u**5 - 7*u**3 + 4*u**2 + 7/2*u**4 + 0 + 39*u. Factor q(r). -2*(r - 4)*(r - 1)*(4*r - 1) Let h(z) = -4*z**4 - 30*z**3 + 25*z**2 + 17*z - 21. Let j(f) = -f**4 - 7*f**3 + 6*f**2 + 4*f - 5. Let l(x) = 3*h(x) - 13*j(x). Suppose l(r) = 0. What is r? -2, -1, 1 Let u(h) be the third derivative of h**7/350 + 29*h**6/25 + 461*h**5/100 + 23*h**4/4 - h**2 - 195*h + 2. Factor u(s). 3*s*(s + 1)**2*(s + 230)/5 Let t = 185/5016 - -1/209. Let v(s) be the third derivative of 0*s + 0*s**3 + 12*s**2 + 0*s**4 - 1/12*s**5 - t*s**6 + 0. Factor v(n). -5*n**2*(n + 1) Let x = 900112/5 + -180022. What is z in 0*z + 0 + 2*z**3 + 0*z**2 - x*z**4 = 0? 0, 5 Factor 41*h + 100*h - 9*h**2 + 18*h**2 + 375*h - 13*h**2. -4*h*(h - 129) Let a(q) = -420*q**3 - 933*q**2 - 426*q - 21. Let k(w) = 60*w**3 + 133*w**2 + 61*w + 3. Let i(r) = 5*a(r) + 36*k(r). Factor i(p). 3*(p + 1)**2*(20*p + 1) Let d be (-78848)/(-32256)*6/11. Factor 1/3*r**3 + 4/3*r**2 + 0 + d*r. r*(r + 2)**2/3 Let h(z) be the second derivative of 25/8*z**4 - 81*z - 1/56*z**7 - 2 + 4/15*z**6 - 4*z**2 - 23/16*z**5 - 4/3*z**3. Let h(w) = 0. What is w? -1/3, 1, 2, 4 Let s(k) = 9*k**2 - 21*k + 17. Let t(c) = -8*c**2 + 20*c - 15. Let f(n) = -5*s(n) - 6*t(n). Let y be f(5). Solve 0*v - 5/4*v**2 + y = 0. -2, 2 Let r(n) be the second derivative of n**6/15 - 17*n**5/10 - 19*n**4/3 + 121*n - 5. Let r(j) = 0. What is j? -2, 0, 19 Let u(n) be the first derivative of n**3/3 + 55*n**2 - 111*n + 80. Factor u(d). (d - 1)*(d + 111) Let b(i) be the second derivative of -i + 0*i**2 - 193/190*i**5 + 52/19*i**4 - 48/19*i**3 + 0 - 1/399*i**7 + 26/285*i**6. Let b(x) = 0. Calculate x. 0, 1, 12 Factor 0 + 6*b - 2/7*b**2. -2*b*(b - 21)/7 Suppose -2*x = 4*k + 2*x - 100, 5*k + 2*x - 125 = 0. Factor k*w + 5*w**4 - 130*w**2 + 15*w**3 + 210*w**2 - 125*w**2. 5*w*(w - 1)**2*(w + 5) Let j(s) be the third derivative of s**5/600 + s**4/20 - 3*s**3/4 + 2*s**2 - 157. Find v, given that j(v) = 0. -15, 3 Let u(b) be the first derivative of -2*b**5/15 + b**4/2 - 4*b**3/9 + 4083. Factor u(n). -2*n**2*(n - 2)*(n - 1)/3 Suppose 9 + 6 = 3*x. Suppose 15 = 3*j + v, -x*j = -2*j - 2*v - 6. Factor 7*i + 4*i**3 - i**4 - 3*i**j - 7*i. -4*i**3*(i - 1) Let v(n) be the third derivative of n**7/8820 - n**6/2520 - n**5/70 + n**4/12 + 11*n**3/6 + 61*n**2 - 2. Let h(j) be the second derivative of v(j). Factor h(r). 2*(r - 3)*(r + 2)/7 Let b(a) be the third derivative of -a**6/540 + a**5/10 - 47*a**4/108 - 25*a**3/9 + 3061*a**2. Factor b(k). -2*(k - 25)*(k - 3)*(k + 1)/9 Find u, given that -580/7*u**4 - 12/7*u**5 + 0 + 28*u**2 + 396/7*u**3 + 0*u = 0. -49, -1/3, 0, 1 Let a(r) = -35*r**3 + 223*r**2 + 1182*r + 1440. Let s(k) = 16*k**3 + k**2. Let m(l) = -a(l) - 2*s(l). Factor m(d). 3*(d - 80)*(d + 2)*(d + 3) Factor 0 + 2/7*i**5 - 30/7*i**3 + 16/7*i**2 + 0*i + 12/7*i**4. 2*i**2*(i - 1)**2*(i + 8)/7 Let j(a) be the third derivative of -19/22*a**4 + 2*a + 1/110*a**5 + 27*a**2 + 361/11*a**3 + 0. Factor j(b). 6*(b - 19)**2/11 Let k(v) = -3*v**2 - 65*v - 197. Let b be k(-18). Let u be 0/b + (-2)/((-72)/675). Factor -u*q**4 - 33*q**2 + 0 + 6*q + 105/2*q**3. -3*q*(q - 2)*(5*q - 2)**2/4 Let f be 39/(-6)*2 - 4. Let z = 19 + f. Let 21*d**3 + z*d**3 - 4*d**4 - 3*d**4 + 0*d - 20*d**2 + 4*d = 0. Calculate d. 0, 2/7, 1, 2 Let p(h) be the second derivative of -7*h**7/24 + 63*h**6/40 - 27*h**5/16 + 9*h**4/16 - 483*h - 1. Factor p(y). -y**2*(y - 3)*(7*y - 3)**2/4 Let t(l) be the third derivative of -l**8/1680 - l**7/90 - l**6/30 - l**4/12 - 26*l**3/3 - 251*l**2. Let k(z) be the second derivative of t(z). Factor k(m). -4*m*(m + 1)*(m + 6) Suppose 0 = -3*t + 5*d + 32, -t - 5*d - 16 = -0*t. Suppose 3 + 9 = t*z. Solve 8 + 3*q + 4*q + z*q - 2*q**2 - 4*q = 0 for q. -1, 4 Factor 0*k + 4*k**2 + 90/7*k**4 + 0 - 118/7*k**3. 2*k**2*(k - 1)*(45*k - 14)/7 Let t(u) = 14*u**4 - 78*u**3 - 332*u**2 - 252*u. Let c(x) = -10*x**4 + 78*x**3 + 334*x**2 + 254*x. Let z(i) = -3*c(i) - 2*t(i). Factor z(g). 2*g*(g - 43)*(g + 1)*(g + 3) Let u = -3182 + 3184. Let x(p) be the third derivative of 5/24*p**4 - 1/12*p**5 + 3*p**u + 0 - 1/24*p**6 + 0*p + 5/6*p**3. Factor x(v). -5*(v - 1)*(v + 1)**2 Factor -2/9*z**2 - 88/3 - 74/9*z. -2*(z + 4)*(z + 33)/9 Let f(a) be the first derivative of 3*a**5/20 + 7*a**4/16 - 3*a**3 + 5*a**2/2 + 5086. Factor f(l). l*(l - 2)*(l + 5)*(3*l - 2)/4 Let r(f) be the first derivative of -5*f**4/4 + 415*f**3/3 + 425*f**2 + 3038. Factor r(l). -5*l*(l - 85)*(l + 2) Let t(n) = -n**3 + 20*n**2 - 36*n + 2. Let w be t(18). Suppose w*c - 2 = c. Factor -3*r**c + r**2 + r**2 - 5*r + r**3 + 6 - r**2. (r - 3)*(r - 1)*(r + 2) Let t(h) = 44*h**2 - 22*h + 8. Let x(y) = 29*y**2 - 15*y + 5. Let l(o) = -5*t(o) + 8*x(o). Let s(k) = -13*k**2 + 13*k. Let d(v) = -3*l(v) - 2*s(v). Factor d(z). -2*z*(5*z - 2) Let a = 268263/7 - 38317. Let -a*z + 24/7 + 0*z**2 + 4/7*z**5 + 40/7*z**3 - 24/7*z**4 = 0. Calculate z. -1, 1, 2, 3 What is v in -755/4*v + 0 - 1/4*v**2 = 0? -755, 0 Suppose 0 = -22*w + 444 + 18. Suppose -w*k = -13*k - 16. Factor 0 + 6/7*q**k - 3/7*q - 3/7*q**3.
{ "pile_set_name": "DM Mathematics" }
+ x*q**3 + z*q + n*q**2 + k and give s. 1620 Rearrange (2 - 1 + 0)*(9714*s**3 - 82141*s**2 + 82141*s**2) to the form c*s**2 + h + f*s**3 + b*s and give f. 9714 Rearrange -2 + 65*j**4 + 157*j**3 + 9*j**2 - 4*j**2 + 126*j**3 - 63*j**4 to the form i*j**2 + y*j**3 + u + g*j**4 + p*j and give i. 5 Express 2239*q - 700*q + 4270*q + 18161*q as m + b*q and give b. 23970 Rearrange 125*k - 67*k - 106*k - 235*k - 209*k to the form g + h*k and give h. -492 Express (-2*z + 2*z + z)*(-2 - 8 + 1) - 3550 - 400*z + 3550 + (0 + 1 - 2)*(7 - 7 + 2*z) in the form x*z + s and give s. 0 Rearrange (f - 5 + 5)*(f + 5 - 5) - 16*f**2 - 9*f**2 - 3*f**2 - 7*f - 163*f**2 + 7*f to i + a*f**2 + l*f and give a. -190 Express 2*s - 16 + s**3 - 6 + 54*s**2 + 43*s**2 + 1 as d*s**3 + w*s**2 + u*s + t and give u. 2 Express -49*u**4 + 8 - 2460*u**3 - 25 + 2460*u**3 - u**2 - 3*u**2 in the form h*u**4 + j*u**3 + z*u + n + l*u**2 and give h. -49 Express (2*o**2 + 0*o**2 - o - o)*(-20737*o**2 - 628628*o + 628628*o) as i*o**3 + w*o + x*o**4 + u*o**2 + h and give x. -41474 Rearrange -3 - 12*t**3 + 2*t**4 + 4 + 1853*t - 1852*t to the form f*t**3 + o*t**4 + c*t**2 + j + h*t and give o. 2 Express (428 + v + 1275 + 522)*(7*v**3 - v**3 - 3*v**2 + 2*v**2) as s*v**3 + u + l*v + r*v**4 + y*v**2 and give s. 13349 Rearrange -9*b**2 + 6*b**3 + 4*b**3 - 9*b**3 - 15 - 5*b**3 + 6*b**3 to h*b**3 + a*b**2 + c*b + j and give a. -9 Rearrange 7685*x**4 - 3839*x**4 - x + 323*x**3 + 2*x**2 - 1 - 3844*x**4 to the form h*x**2 + a*x**4 + y*x + n + q*x**3 and give a. 2 Rearrange (125*m**3 + 16727*m**3 - 713*m**3 + 14389*m**3)*(-m + 2*m - 3*m) to g*m**3 + a + z*m**4 + y*m + u*m**2 and give z. -61056 Rearrange w**2 + 0*w**2 + 3*w**2 + (-13*w - 5 + 5)*(-10*w + 11 - 11) to the form q*w + g + o*w**2 and give q. 0 Rearrange 87*g**2 + 51*g**2 - 156*g - 30*g**2 - 170*g**2 to the form l*g + w*g**2 + m and give l. -156 Rearrange (-2*c + 0*c - 6 + 4)*(1073 + 1005 - 2458) to the form o*c + l and give l. 760 Express 17*j**2 + 19 - 3*j - 23 + 15*j - 15*j as n*j**2 + b*j + y and give b. -3 Rearrange 252*h + 237*h + 238*h + 219*h to s*h + t and give t. 0 Rearrange (-4 + 10 - 8)*(0 - 2 + 0)*(-5*v + 3*v + 0*v)*(52*v + 736 - 736) to z*v**2 + y + j*v and give z. -416 Rearrange 5 + 123*n - 75308*n**2 + 150615*n**2 - 75308*n**2 to z + l*n**2 + w*n and give z. 5 Rearrange -2 - 10*k**2 + 13*k + 316*k**3 + 11*k - 27*k - 324*k**3 to the form s*k**3 + q*k + w*k**2 + x and give w. -10 Rearrange 12*f**2 + 153*f + 156*f - 278*f - 3 + 1 to the form w + b*f + u*f**2 and give u. 12 Express (50*c**2 - 47*c**2 - 88*c**2)*(-c - 13 + 0*c + 63 - c) in the form n*c**2 + g*c**3 + w*c + r and give g. 170 Express (1850*u - 863*u + 1746*u)*(-2*u**3 + 0*u**2 + 0*u**2) as k*u**2 + x*u**3 + c*u + m + i*u**4 and give i. -5466 Rearrange 41*r**4 + 2*r**3 + 16*r + 46381*r**2 - 19*r - 2*r**3 - 46369*r**2 to the form m*r**2 + x*r + d + z*r**4 + u*r**3 and give m. 12 Rearrange (-60 + 34 - 83)*(-5*u**2 + 5*u**2 - 4*u**3) + 2 - 2 + 5*u**3 to the form z + t*u + a*u**2 + s*u**3 and give s. 441 Express (-33*m - 52*m - 48*m + 1)*(2*m + 2*m + 2*m) as n*m**2 + z + t*m and give z. 0 Express (2 - 1 + 0)*(-3 + 3 - 2*s**2) + (7*s - 2*s - s)*(-30*s + 50558 - 57*s - 50608) in the form m*s**2 + a*s + x and give a. -200 Express -2*l + 12*l + 5*l + (0 + 2 + 1)*(0 + 0 + 2*l) + 1 - 2*l - 1 - 3*l - 3*l + 3*l - 3*l - 3*l + 5*l as b*l + g and give b. 15 Express 2013*d - 249*d + 152*d**2 - 154*d**2 in the form i*d + q*d**2 + g and give q. -2 Express (0*r**3 + 0*r**3 + 2*r**3)*(4*r - r - r) + (0 + 0 + 1)*(4922*r**4 - 9052*r**4 - 10634*r**4) as f*r**3 + j*r**2 + o*r**4 + n + q*r and give o. -14760 Express (-182*y - 168 + 168)*(67*y - 188*y - 295*y + 39*y) as l*y**2 + k*y + u and give l. 68614 Express 1985*d - 597*d + 4964*d + 167 - 167 as n*d + x and give n. 6352 Express -238*m + 201*m + 2075*m in the form p + v*m and give v. 2038 Rearrange ((g - 2*g + 5*g)*(-1 - 1 + 1) + 44*g - 33 + 33)*(-4*g - 2*g + 3*g)*(-3*g + 2*g - g)*(-4 + 2 + 3) to the form q*g**3 + r*g**2 + l + p*g and give q. 240 Rearrange (2*u - 2*u - u)*(-16939 + 16939 - 2745*u) to the form v + k*u + h*u**2 and give h. 2745 Rearrange (c**2 + 0*c**2 + 0*c**2)*(-1 + 1 + 2 + (2 + 3 - 3)*(-2820 + 7195 - 3586)) - c**2 - c**2 - 7*c**2 to the form t*c**2 + i + b*c and give t. 1571 Rearrange -13837*u**3 - 1 - 2*u - 2 + 5*u + 13848*u**3 - 1 + 3*u**2 to the form f + p*u**3 + h*u**2 + s*u and give f. -4 Rearrange -8 + 0*a**4 + 3*a**2 + a**4 - 1543*a**3 + 1539*a**3 + 0*a**4 - 4*a to the form z*a**3 + i*a + b*a**4 + s*a**2 + t and give z. -4 Express (-3*w + 2*w + 79 - 72)*(828*w**2 - 3634*w + 3634*w) as j*w**3 + y*w**2 + n + r*w and give y. 5796 Express -352 + 3531641*i**3 + i**2 - 2*i**4 - 3531641*i**3 as n*i**3 + l*i**4 + z + r*i**2 + p*i and give l. -2 Rearrange 840*o**2 + 13 - 824*o**2 + 15 to the form v*o + h + p*o**2 and give h. 28 Rearrange -1141551 - 3593*l + 758*l + 1141551 to the form y*l + k and give y. -2835 Rearrange -2*g**2 + g**4 + 5*g**3 + 275 - 3*g**4 + 3*g**4 - 276 + 13*g**2 to o*g**3 + w*g + k + i*g**4 + r*g**2 and give o. 5 Rearrange -66*y**2 - 6 + 145 + 15 + 9*y - 76*y**2 + 143*y**2 to the form g*y + m*y**2 + t and give m. 1 Rearrange 8*b - 24*b - 2*b**3 + 41 - 2*b + 7*b to the form h*b**2 + z*b + f*b**3 + c and give c. 41 Rearrange -5*b + b + 2*b + (-12 - 2*b + 0 + 7)*(1 + 1 + 5)*(0 + 10 + 2) to u*b + i and give u. -170 Rearrange -5445 - 10*l + 5438 + 11*l + 2*l + 27*l**2 to w + h*l**2 + s*l and give w. -7 Express 16*k - 4*k + 5762 - 6124 in the form s + t*k and give t. 12 Express (3*p + p - 2*p)*(p + 0 + 0) + 14 - 27 + p**2 - 17 + (-5*p + 4*p - 3*p)*(-2*p - 6*p + 2*p) in the form g*p**2 + l + x*p and give x. 0 Rearrange 41*z + 42*z - 115 + 6 - 42*z to the form f*z + y and give y. -109 Rearrange (-m - m - m)*(-3 + 2*m + 3)*((6 - 1 - 3)*(-5 + 2 + 1) + 9 + 3 - 5) - 7*m**2 + 0*m**2 - 6*m**2 to x*m + a + j*m**2 and give j. -31 Rearrange 2*b - 14 + 37 - 52 + 3*b**3 - b**3 to z + d*b**2 + m*b**3 + i*b and give m. 2 Express 131*u**2 + 263*u + 5*u**2 - 266*u + 171*u**2 - 27*u**2 as x + n*u**2 + q*u and give q. -3 Express (-3 - 3 + 1)*(235*r + 237*r - 163*r - 95*r + 309*r) as t*r + i and give t. -2615 Rearrange h**4 - 5*h**2 + 3*h**2 + 97*h + 3*h**2 - 6*h**2 to the form y*h**2 + i*h**3 + g*h + v*h**4 + j and give y. -5 Express 8294*j**2 + 490*j**2 + 12115*j**2 as a*j**2 + p + t*j and give a. 20899 Express (68*p - 8*p + 42*p)*(2 - 5 + 1)*(4*p**2 - 2*p**2 + 2*p**2) as j*p + u + z*p**2 + q*p**3 and give q. -816 Rearrange 3 + 68389*v - 3 - 68508*v - 2*v**2 to y*v**2 + i*v + a and give i. -119 Rearrange (-3*z + z**2 + 3*z)*(z - z + 2*z**2) + (-z + 2*z**2 + z)*(-182*z**2 + 86*z**2 - 1354*z**2) to o*z**3 + n + a*z**2 + q*z**4 + l*z and give q. -2898 Express -124336 + 124336 + 3399*p - 533*p in the form i + b*p and give i. 0 Rearrange (-22*q + 7*q + 3*q - 4)*(107 - 38 - 35 - 26)*(1 - 3 + 1) to the form a + w*q and give w. 96 Rearrange 328*f + 866*f - 339*f to the form r*f + a and give r. 855 Express s**3 + 281*s + 31*s**4 - 280*s - 2*s**2 - 1272 + 1271 as k*s**3 + a*s**2 + r + y*s + g*s**4 and give y. 1 Rearrange -176269 + 88047 + 24*x**2 + 88067 to the form b*x + f*x**2 + h and give h. -155 Rearrange 27 - 1 + 3*t - 4032*t**4 + 3913*t**4 to the form q*t + r + w*t**4 + f*t**3 + m*t**2 and give q. 3 Express (4 + 13 - 5)*(-1 + k + 1 + 2*k + 0 + 0 + (-3 + 4 + 0)*(0*k - 4*k + 3*k) - 296*k - 707 + 707) in the form f*k + y and give f. -3528 Rearrange -r + 23 - 89 + 38 + 30 - 22*r**2 to b*r**2 + y*r + s and give b. -22 Express 4 + 13*v**2 + 3*v**2 - 16*v**2 - v**2 + 3*v**3 + 0 in the form c + i*v + f*v**2 + b*v**3 and give f. -1 Express -6222*w**2 + 12450*w**2 + 55*w - 6180*w**2 - 1 as d + v*w**2 + t*w and give d. -1 Rearrange 38833 - 12*k**2 + 13*k**3 - 38833 - 3*k**2 to t*k**3 + a*k + m*k**2 + c and give m. -15 Express 27*g**2 - 13*g**2 + 14*g**2 + 13377 - 13373 - 3*g as d*g**2 + t*g + n and give n. 4 Express -k + k - 2*k - 2*k + k + 3*k + (1 + 0 + 1)*(5*k + 0*k - 3*k) - k - k + 3*k + (-5 + 4 + 3)*(4577*k + 4910*k - 536*k) as l*k + y and give l. 17907 Rearrange 0*f + f + 0*f - f - 10*f + 2*f + (-2*f + 6*f - 5*f)*(2 + 1 - 1) - 2*f - f + f + 0 + 0 - 7*f - 2 to the form q + r*f and give q. -2 Express -3*d + 2*d - 5*d + (2 + 3 + 0 - 3)*(-d
{ "pile_set_name": "DM Mathematics" }
3 by -554. -19513/554 Divide -242730720 by 1685630. -144 What is -287710 divided by 91? -287710/91 Calculate -119673328 divided by -29918332. 4 What is -6361 divided by -5349? 6361/5349 What is 2648 divided by -3638? -1324/1819 Divide 279465934 by 12702997. 22 What is 35009608 divided by -122? -286964 Calculate 9883172 divided by -4941586. -2 704635 divided by -33 -704635/33 What is 21 divided by -85362? -7/28454 Divide 0 by -328832. 0 Divide -4749492 by 1583164. -3 Divide -104962202 by 23. -4563574 Calculate -3693382 divided by 16. -1846691/8 89 divided by -357416 -89/357416 What is 70199020 divided by -17549755? -4 What is -48972 divided by -2? 24486 Divide 16131732 by 3. 5377244 682982500 divided by 25 27319300 -499504 divided by 1 -499504 77061 divided by 1511 51 Calculate 72592348 divided by -72592348. -1 What is -8328859 divided by -62623? 133 Calculate 2233 divided by 356721. 2233/356721 What is 2 divided by -11008383? -2/11008383 821162900 divided by 17 48303700 -3068500 divided by 767125 -4 Divide 65812292 by 16453073. 4 44194 divided by 48 22097/24 Calculate 15851375 divided by 3005. 5275 Calculate 0 divided by 9291745. 0 What is 9068 divided by -391? -9068/391 Calculate 480241908 divided by 32283. 14876 46115 divided by 484 46115/484 Divide -315917440 by -3948968. 80 682390 divided by 113 682390/113 Calculate -187248 divided by 114. -31208/19 Calculate 28707389 divided by 3. 28707389/3 25778028 divided by -2 -12889014 2733 divided by 99 911/33 Divide 337921548 by 4. 84480387 59971235 divided by 31415 1909 Divide -9486 by -2822. 279/83 Divide -16 by 3555161. -16/3555161 Calculate 3 divided by 2134054. 3/2134054 Divide 2 by -546741. -2/546741 36 divided by -220096 -9/55024 Divide 14031472 by 1456. 9637 What is -23689962 divided by 5? -23689962/5 Divide 31697 by -9660. -31697/9660 What is 1054708248 divided by -2? -527354124 -962592777 divided by -2890669 333 What is -276738 divided by 4193? -66 Calculate -221445679 divided by 31635097. -7 -6421729 divided by 5 -6421729/5 What is 36202180 divided by -3332? -10865 Calculate -31379980 divided by -6275996. 5 What is 43736560 divided by 312404? 140 235041560 divided by 4 58760390 What is 134 divided by 42562? 67/21281 Divide -3197523 by 1065841. -3 Calculate 86544332 divided by 1169518. 74 Calculate -465253 divided by 67. -465253/67 Calculate 215705 divided by 825. 43141/165 Divide 325 by -5179. -325/5179 Divide -7536783 by 3. -2512261 14944 divided by -635 -14944/635 Divide 16528625 by 3305725. 5 What is -42694960 divided by -554480? 77 Divide 113722 by 2132. 56861/1066 16651849 divided by 5 16651849/5 What is 5 divided by -22072208? -5/22072208 5013370 divided by -4 -2506685/2 Calculate 59 divided by -919006. -59/919006 Divide 169 by 32408. 169/32408 What is -8 divided by -6214800? 1/776850 Calculate -2422415 divided by 2422415. -1 13036359 divided by 620779 21 What is -11577904 divided by -2? 5788952 Calculate -143070688 divided by 464. -308342 Calculate 5120043 divided by -2. -5120043/2 Divide 70337148 by 31598. 2226 Calculate 147 divided by 845033. 21/120719 Divide -635 by -3050. 127/610 What is 72 divided by -2348424? -1/32617 Calculate -187816942 divided by 118. -1591669 Divide 319791771 by -2011269. -159 Calculate 1635 divided by 9998. 1635/9998 Divide -9 by -2294753. 9/2294753 Divide -762736 by 47671. -16 Calculate -43237 divided by -46. 43237/46 684 divided by 3556 171/889 Divide 4541 by 16046. 4541/16046 126 divided by 4720735 126/4720735 What is -10640846 divided by -10640846? 1 Calculate 2206659 divided by -40. -2206659/40 10320180 divided by -1310 -7878 150203994 divided by -219918 -683 Calculate 5971726 divided by -1258. -4747 What is -319808 divided by -526? 608 What is -50 divided by 2378? -25/1189 Calculate -1336305 divided by -40. 267261/8 Divide 348470 by 18. 174235/9 What is -176132427 divided by -92361? 1907 What is -8171856 divided by 15246? -536 What is -7908 divided by 635? -7908/635 Divide -147168 by 71. -147168/71 18818470 divided by 5 3763694 -35148007 divided by 35148007 -1 What is -9661814 divided by 29? -333166 390662910 divided by -5 -78132582 324480000 divided by -6000 -54080 1277 divided by 7260 1277/7260 -59539 divided by -9755 59539/9755 Calculate 3607953 divided by -1. -3607953 Divide 29109949 by -1. -29109949 Calculate 9 divided by 34528429. 9/34528429 What is -272 divided by 444778? -136/222389 What is -158192860 divided by -297355? 532 What is -5 divided by 804162? -5/804162 Divide 7766976 by -112. -69348 Divide -6463672 by 1615918. -4 Divide 1 by -9827312. -1/9827312 What is 908154 divided by 178? 454077/89 -1924 divided by -3388 481/847 Divide 668418 by -61. -668418/61 Divide 19325020 by 166595. 116 Divide 20572956 by 18. 1142942 What is -6368420 divided by -1273684? 5 106250 divided by 373 106250/373 -21300168 divided by 61032 -349 Calculate 17 divided by -3523531. -17/3523531 Calculate -8186375 divided by -5. 1637275 -3621672 divided by -18 201204 Divide 9917280 by -360. -27548 Calculate -17 divided by 262208. -1/15424 What is 24735672 divided by -634248? -39 Divide -304307456 by -4057. 75008 Calculate -7661115 divided by -3. 2553705 What is 915 divided by 4129? 915/4129 25474 divided by 5026 12737/2513 Calculate -122842240 divided by 10. -12284224 What is 408 divided by 267264? 17/11136 What is -7701786 divided by 140? -3850893/70 Calculate 7856 divided by 20183. 7856/20183 Divide 12115110 by 11166. 1085 Calculate -312823185 divided by -3. 104274395 Calculate 8 divided by 1737086. 4/868543 -37309540 divided by 7461908 -5 -164 divided by 1064753 -164/1064753 What is -41605369 divided by 1? -41605369 What is -6833 divided by -329? 6833/329 Divide -2595209 by 18. -2595209/18 What is -376286550 divided by 43? -8750850 Divide -347559325 by -70285. 4945 Calculate -16 divided by -244510. 8/122255 Calculate 5 divided by 1809136. 5/1809136 Calculate -44064119 divided by 31229. -1411 Divide 4724376 by 23388. 202 5 divided by 3979619 5/3979619 9955840 divided by 32 311120 What is 34759 divided by -1164? -34759/1164 What is -13963 divided by 2366? -13963/2366 What is -4874388 divided by 122? -39954 Calculate -2140 divided by 21335. -428/4267 40862 divided by -251 -40862/251 -333325 divided by 15 -66665/3 What is -79577 divided by -2308? 79577/2308 Divide 9001935 by 2511. 3585 -67437486 divided by -67437486 1 Divide 20148200 by -1007410. -20 Divide -9986 by -1878. 4993/939 687999 divided by 23 29913 2157 divided by 9292 2157/9292 What is -21 divided by -4043995? 21/4043995 Calculate 39942210 divided by 1155. 34582 Calculate -340469 divided by 14803. -23 What is 676031 divided by -15? -676031/15 Divide 35367098 by 6. 17683549/3 Divide -430645 by -1153. 430645/1153 Divide 50896833 by 13. 3915141 Calculate -750217501 divided by 29. -25869569 Calculate -264 divided by 763. -264/763 18239121 divided by -5 -18239121/5 What is -52378657 divided by -4? 52378657/4 Calculate -1859845 divided by -26195. 71 What is -1015980 divided by 2478? -410 Calculate -435 divided by 27313. -435/27313 -6791341 divided by 101 -67241 27249136 divided by -3406142 -8 13 divided by 1335892 13/1335892 Divide 284 by 92748. 71/23187 47727417 divided by -87 -548591 Divide 6 by 31738531. 6/31738531 24971794 divided by 7 24971794/7 Calculate 3129 divided by -716. -3129/716 Calculate 5 divided by 20871039. 5/20871039 -14 divided by 13972776 -7/6986388 -43 divided by -4368915 43/4368915 Divide 1201780481 by -288959. -4159 Calculate 31368369 divided by 3. 10456123 What is -6022350 divided by -1204470? 5 What is 893 divided by 348832? 893/348832 What is -1279530 divided by 10? -127953 6524 divided by 16654 3262/8327 Divide 43249961 by -816037. -53 What is 742437804 divided by -185609451? -4 Calculate 1075 divided by -503717. -1075/503717 Calculate -2220602 divided by 6. -1110301/3 Calculate 19303284 divided by 6. 3217214 Calculate -47044716 divided by 3920393. -12 Calculate 206993097 divided by -1. -206993097 Calculate 10696016 divided by -2. -5348008 -2560066 divided by 40 -1280033/20 17015070 divided by 5 3403014 -133 divided by 747846 -133/747846 Calculate 35419473 divided by -8. -35419473/8 209750514 divided by 6 34958419 Calculate 29142171 divided by -9714057. -3 What is 4 divided by 959
{ "pile_set_name": "DM Mathematics" }
s*n + y + o*n**2 and give s. 80625 Express (w - w - 2*w)*(-1 - 11 + 1) + (-3 - 4 + 0)*(-3*w + 0*w + 4*w + (2 + 2 - 2)*(-w - 3*w + 2*w) + (-5*w + 2*w + 2*w)*(-10 + 5 - 8)) as i + s*w and give s. -48 Rearrange 419*b**2 + 439*b**2 - 40*b - 879*b**2 + (2*b + 0*b + 0*b)*(b - 4*b + 2*b) + 0 + 0 + b**2 to the form y*b**2 + t + m*b and give m. -40 Rearrange 2*c**3 + 0 + 4*c**3 - 2*c**3 - 4*c**4 + 43*c**2 + 14 - 15 to s*c**3 + j*c**2 + v*c**4 + i*c + b and give b. -1 Express 2950*m - 37389*m - 1153*m in the form h*m + s and give h. -35592 Rearrange -11700*x**2 - 11917*x**2 + 28544*x**2 to f*x + n*x**2 + r and give n. 4927 Express -41*j**3 + 11277 - 5639 - 5641 + 2*j**2 as k*j + z*j**2 + y + u*j**3 and give u. -41 Express -3*w + 22797*w**2 - 22972*w**2 - 5*w + 2*w**3 in the form x + d*w**3 + r*w**2 + k*w and give r. -175 Express 4*v - 3*v + 0*v**2 + 958132*v**3 - 3*v**2 - 958142*v**3 as k*v**2 + s + f*v + o*v**3 and give k. -3 Express 5*k**2 - 5*k**2 + 1347 + 0*k**2 + 3*k**2 - 76 as u*k**2 + r + x*k and give u. 3 Express -1407208*q + 1407208*q + 2*q**4 + 179 - 4*q**2 in the form s + r*q + t*q**2 + b*q**3 + g*q**4 and give s. 179 Rearrange (-1923*i - 836*i - 7301*i)*(0*i**2 - i**3 + 0*i**2) to the form m*i + p*i**4 + j*i**2 + x*i**3 + o and give m. 0 Rearrange 207*w - 106705 + 4*w**3 + 106705 to the form z*w**2 + a*w + n + h*w**3 and give a. 207 Express 292*v + 456*v**2 + 465*v**2 - 3 + 461*v**2 - 1866*v**2 + 467*v**2 in the form h*v + w + j*v**2 and give j. -17 Express (34 + 12 + 10)*(1593 + 141*a**3 - 1593) in the form m*a**2 + q + t*a + s*a**3 and give s. 7896 Express -102942*g + 142330*g - 64548*g in the form p + a*g and give a. -25160 Rearrange 126*x**3 - 21*x - 440 - 2*x**4 + 902 + 25*x - 457 to the form w*x + c*x**4 + z*x**3 + j + p*x**2 and give c. -2 Express 847 + 1362 + 251 - 426 - 2*z in the form s*z + o and give s. -2 Express -5*t - 4*t + 16*t + 7*t - 3*t + 300 in the form x + d*t and give x. 300 Express -2*s**3 - 6 + s**2 - 7*s**2 + 7*s**2 + 15*s + 0*s in the form b*s**2 + v + d*s**3 + t*s and give b. 1 Express 23*y - 2 + 4 - 44*y + 0 - 48*y as x + m*y and give m. -69 Rearrange 3*o - 5 - 17 - 4381*o**2 + 4382*o**2 - 4*o**3 to v*o + w*o**3 + k*o**2 + q and give v. 3 Express (-2*l**2 - 17210*l + 17207*l + 3*l**2 - 9)*(-3 + 6 - 1)*(2 - 2 + 3*l) in the form y*l**3 + s + z*l + j*l**2 and give y. 6 Express 1126*i**2 - 3370*i**2 - 2*i + 1115*i**2 + 9 + 1124*i**2 - 16*i**4 in the form q*i**4 + u*i**3 + f*i + g + a*i**2 and give a. -5 Rearrange 6431*f + 451*f + 8464*f to the form b*f + a and give b. 15346 Express (-2*r**2 + 2*r**2 + r**3)*(-r - 5*r + 5*r) + 69*r**4 - 38*r**4 + 56*r**4 + 1 - 5*r**4 + 2 - 2 as j*r + i*r**2 + f*r**4 + v + l*r**3 and give v. 1 Rearrange 8 - 20 + 26*u + 14 + (u - 3*u - 5*u)*(-2 + 6 - 3) to n*u + d and give n. 19 Rearrange 306 - 282*k**3 - 4*k**3 - 604 - k**2 + 291 to the form t*k**3 + q*k**2 + z*k + v and give v. -7 Rearrange 4 + 707*l + 2 - 1297*l to p + g*l and give p. 6 Express 185 - 54*b - 47*b - 127 + 102*b + 598 as k*b + h and give h. 656 Rearrange (17*q**2 + 68*q**2 - 23*q**2)*(37*q - 45*q - 56*q) to the form w*q**3 + a + i*q + p*q**2 and give i. 0 Express (-l + 0*l + 2*l)*(1 - 1 + 2) - 86916*l + 60912*l + 51944*l as o*l + h and give o. 25942 Express -71*x**2 + 3129*x + 5 - 3129*x + (-5*x - x + 3*x)*(4*x - 3*x + 2*x) in the form v + j*x**2 + o*x and give j. -80 Rearrange -3*t + 2*t - 2*t + 1 - 2*t - 1 + (2*t + 0*t - 4*t)*(2 + 1 - 2) - 77*t + 166*t + 116*t to r + q*t and give q. 198 Rearrange 2*k**4 - 8*k**3 + k**2 + 18 + 6 + 14*k - 22 + 3*k to q*k**4 + l*k**2 + n + r*k**3 + y*k and give l. 1 Express -117*t**2 + 20*t**2 + 25*t**2 - 85*t**2 as a*t**2 + s + v*t and give a. -157 Express m**2 - 2*m**2 + 4*m**2 + 11*m**2 - 202*m + 202*m + 0*m + 0*m + 2*m**2 + (7 + 12 - 9)*(1 - 1 - 2*m**2) as d + q*m + j*m**2 and give j. -4 Rearrange -2126*g + 17966*g - 7535*g - 1 + 3 to the form o*g + a and give a. 2 Express (-4*c + 0*c + 6*c)*(41 + 42 - 41 + 2*c) + (5*c + 0*c - 3*c)*(1 - 1 + 2*c) in the form g + y*c**2 + v*c and give y. 8 Express (4 + 16 - 42)*(4 + 2 - 3)*(935 - 935 - 76*p**2) as f*p + s + j*p**2 and give j. 5016 Express 7 - 2 - 49*t**2 + 55*t**2 - 21*t**2 - 17*t**2 as u*t + h*t**2 + v and give h. -32 Rearrange 0*l + 0*l + 2*l + (-1063 + 78 + 573)*(4 - 4 + 2*l) to y + v*l and give v. -822 Express 924129 - h**3 + 777*h - 2*h**2 - 924129 as n + w*h + f*h**3 + u*h**2 and give w. 777 Rearrange 3*b**2 + 764840*b**3 - 10 - b + 0*b - 764857*b**3 + b**4 to the form h*b**2 + g + s*b + y*b**4 + u*b**3 and give g. -10 Express -3339967 - 13816*s + 3339967 in the form c + l*s and give l. -13816 Express 0*x + x + x + (3*x - 3*x - 2*x)*((-5 + 0 + 4)*(2 - 1 + 1) + 37 + 54 - 39) as k*x + y and give k. -98 Express 1470*o**3 + 979 - 1469*o**3 + 11*o**2 - 945 in the form z*o**3 + i + c*o + a*o**2 and give i. 34 Express 159*c - 36*c**4 + 35*c**4 - 325*c - 565 + 168*c in the form f*c**4 + v + j*c**3 + n*c + r*c**2 and give f. -1 Rearrange 1204*y**2 - 3100*y**2 - 8164*y**2 to the form b*y**2 + u*y + s and give b. -10060 Express -61*z**3 - 2*z + 1793 - 979 - 826 + 3*z**4 as s + w*z**2 + c*z + l*z**3 + t*z**4 and give l. -61 Express (1106721 + 1106933 - 55*f - 2213432)*(-3 + 0 + 1) as u + j*f and give u. -444 Rearrange -2283198*l + 4 + 2283349*l - 5 to y*l + p and give p. -1 Express 54 - 3*x + 86 - 140 + (2*x - 2 + 4*x + 0*x)*(3 + 2 - 4) in the form d*x + a and give d. 3 Rearrange -2456*g**2 - 2 + 2880*g**2 + 4051*g**2 + 2 to c + q*g + w*g**2 and give q. 0 Express -18*z - 5*z - 31*z + (5 - 3 - 3)*(-z + 3*z + 0*z) + 5*z - 11*z - 7*z as h*z + b and give h. -69 Rearrange -14*q**3 + 38*q**3 - 12*q**3 + q**2 + 3*q**4 - 11*q**3 + 17*q - 2 to the form i*q + m*q**4 + y*q**2 + z + a*q**3 and give y. 1 Express i - 2*i**3 - i + (0*i**2 - 4*i**2 + 5*i**2)*(-i + 9*i - 4*i) + 188*i**3 - 92*i**3 - 92*i**3 as r*i**2 + x*i**3 + z*i + n and give x. 6 Rearrange (2 + 0 - 13)*(0*h + 2*h - h + (-4 + 2 + 0)*(3 - h - 3) + (4 + 7 + 44)*(-2*h + 0*h + 0*h)) to y + l*h and give l. 1177 Express 25 - 5*z**2 - 110 - 369*z + 19 + 64 in the form h*z + b + w*z**2 and give h. -369 Rearrange -7946*o**3 - 2 + 16*o**2 + 15894*o**3 - 7950*o**3 - 10*o + 2 to the form a*o**3 + y + w*o + h*o**2 and give h. 16 Express -110*c**2 + 4028*c - 8064*c + 4030*c as y*c + n + m*c**2 and give m. -110 Rearrange -2 + 17*s - 36*s + s**3 + 18*s + 161*s**2 + s**4 - s to the form h + o*s**3 + z*s + v*s**2 + j*s**4 and give z. -2 Express -49550*v + 103992*v - 51048*v as h*v + w and give h. 3394 Rearrange -90*r**2 - 89*r**2 + 368*r**2 + 2*r - 22*r**3 - 97*r**2 - 89*r**2 to the form u*r + h + z*r**3 + m*r**2 and give m. 3 Rearrange 14638*g - 3 - 14002*g - 3 to the form i*g + r and give r. -6 Express -102859*a**4 + a**2 - 13 - 3*a**2 + 102809*a**4 + 2*a - a as b*a**3 + y + o*a**2 + n*a**4 + w*a and give b. 0 Express (1168*k + 85*k + 2843*k + 1932*k)*(2 + k**2 + 2 + k**2) as i + z*k**3 + d*k**2 + x*k and give x. 24112 Express -275*l**2 - 718*l**2 + 476*l**2 - 881*l**2 - 719*l**2 as o + i*l + f*l**2 and give f. -2117 Express -3177*x + 41*x**3 + 2*x**3 + 6380*x + 1 - 3133*x as c*x + a*x**2 + z*x**3 + w and give w. 1 Express -105 - 112 + 348 - 3*w**3 - 2*w - 132 - 223*w**4 as p*w**2 + x*w**3 + z*w**4 + u*w + g and give p. 0 Rearrange (13 - 2 - 88)*(6*p + 5*p**4 - 6*p) - 15*p**4 + 38*p**3 - 38*p**3 to u*p**3 + o + r*p**2 + w*p + c*p**4 and give c. -400 Rearrange -2*x**2 + 5*x**2 - 2*x**4 - 2*x**2 + (-34*x + 34*x - 6*x**2)*(-1640*x + 1640*x - 16*x**2) to c + j*x + r*x**3 + p*x**2 + d*x**4 and give d. 94 Express (-k - 13*k + 23*k)*(-97 + 97 + 588*k**2 + (-4 + 2 + 3)*(3*k - 3*k - 4*k**2)) in the form f + c*k**2 + u*k**3 + y*k and give u. 5256 Express -3*w + w + 288930*w**2 + 3 - 289033*w**2 in the form a*w + r + l*w**2 and give r. 3 Rearrange -5*r - 12*r - 18*r + 0*r + 2*r - 5*r + 7*r - 21*r + 4*r + (2*r + 0 + 0)*(0 - 3 + 2) to the form f + u*r and give u. -50 Express 5743 + 10*i**3 - 2887 - 2952 - i**4 in the form l*i**3 + k*i + r*i**4 + d + o*i**2 and give r. -1 Rearrange (0 + 0 - 1)*(-1 - 1 + 0)*((3*x + x + x)*(2 + 2 - 3) + (-23 + 4 - 1)*(-2 + 2 + x)) + 7*x + 6*x + 2*x to the form w*x + f and give w. -15 Rearrange (5*h - 22 + 22)*(29*h**2 + 237*h**2 - 63*h**2) to the form j + s*h**3 + x*h**2 + v*h and give
{ "pile_set_name": "DM Mathematics" }
/4 - 3/(-6). Let y be (x/10)/((-2)/(-5)). Determine d, given that y*d**4 + 2/3*d**2 + 2/3*d**5 + 0*d + 2*d**3 + 0 = 0. -1, 0 Factor -4*u**4 - 23 + 15 + 4*u + 12*u**2 + 0*u**4 - 4*u**3. -4*(u - 1)**2*(u + 1)*(u + 2) Suppose -3*u + 2*o - 42 = 0, -u - 5*o + 5 = 2. Let t be u/(-12) - 3*-1. Factor -2/3*r**2 + 2/3*r**5 - 2/3*r**3 + 0 + 0*r + 2/3*r**t. 2*r**2*(r - 1)*(r + 1)**2/3 Solve 8/5*d**3 - 8/5 - 4/5*d**5 - 8/5*d**4 - 4/5*d + 16/5*d**2 = 0. -2, -1, 1 Let b be (-166)/(-18) - 2/9. Let z(n) = -n**2 + 9*n + 2. Let x be z(b). Factor -l - 3*l - 2 + 0*l**2 + 0 - x*l**2. -2*(l + 1)**2 Let o(u) = 4*u**2 - 12*u + 18. Let d(h) = -13*h**2 + 37*h + 20*h - 54 - 21*h. Let v(p) = 2*d(p) + 7*o(p). Factor v(b). 2*(b - 3)**2 Let b(f) = -7*f**4 - 7*f**3 - 26*f**2 - 29*f - 3. Let a(q) = -q**4 + q**3 - q + 1. Let g(j) = 5*a(j) - b(j). Suppose g(o) = 0. What is o? -2, -1 Let z(p) = -p**5 - 3*p**4 - p**3 + p**2 - 2*p + 2. Let s(i) = -i**4 - i**3 - i + 1. Let u(j) = -2*s(j) + z(j). Factor u(a). -a**2*(a - 1)*(a + 1)**2 Let g(l) be the first derivative of 512*l**5/5 + 384*l**4 + 576*l**3 + 432*l**2 + 162*l - 19. Determine i so that g(i) = 0. -3/4 Let f(u) be the second derivative of -u**5/20 - u**4/3 - u**3/2 - 11*u. Solve f(a) = 0 for a. -3, -1, 0 Let r be (-114)/(-54) + 6/(-54). Factor -1/6*p**r + 1/6 + 0*p. -(p - 1)*(p + 1)/6 Let l(c) be the third derivative of -49*c**5/300 + 7*c**4/60 - c**3/30 + 66*c**2. Solve l(z) = 0 for z. 1/7 Let v(u) be the first derivative of -u**3/3 + u**2 - u - 1. Factor v(b). -(b - 1)**2 Suppose 0 = -0*n - 2*n. Suppose n*x - 20 = -5*x. Find r such that -2/3 - 10/3*r**x + 20/3*r**3 + 10/3*r + 2/3*r**5 - 20/3*r**2 = 0. 1 Suppose 2*m + 4 = -0, -n - 6 = 4*m. Factor -2*z**2 + 4*z**2 + 0*z**2 + z**n - 3. 3*(z - 1)*(z + 1) Let k be 10/(-68)*(-8)/(-120). Let g = k - -3/17. Suppose -1/6 + g*v**2 + 1/6*v - 1/6*v**3 = 0. Calculate v. -1, 1 Let l = 1421/30 - 231/5. Let b(r) be the first derivative of -l*r**3 - 1/2*r**2 + 1/2*r - 1/2*r**4 - 1. Factor b(h). -(h + 1)**2*(4*h - 1)/2 Find p such that -159*p - 23*p - 46*p + 64*p**4 + 32*p**3 - 64 - 188*p**2 - 8 = 0. -1, -3/4, 2 Let l(h) be the first derivative of -h**2 - 1 + 1/180*h**5 - 1/18*h**3 + 0*h**4 + 0*h. Let f(j) be the second derivative of l(j). Factor f(u). (u - 1)*(u + 1)/3 Let q = 41/3 - 199/15. Factor 0 + q*r**2 + 2/5*r**3 + 0*r. 2*r**2*(r + 1)/5 Let y(a) be the second derivative of -1/2*a**2 + 0 - 2*a + 1/12*a**4 - 1/6*a**3 + 1/20*a**5. Factor y(x). (x - 1)*(x + 1)**2 Find m such that 6*m**3 - 3*m**5 - 2*m**2 - 8*m + 2*m**5 + m**4 - 2*m**2 = 0. -2, -1, 0, 2 Let h(m) be the third derivative of 0*m - 1/36*m**4 + 3*m**2 - 1/45*m**5 - 1/180*m**6 + 0 + 0*m**3. What is u in h(u) = 0? -1, 0 Let g = 6 + -2. Determine a, given that -4*a**2 - g + 7*a**2 - 5*a**2 - 6*a = 0. -2, -1 Suppose 0 = -j + 4*x - 41, 4*x + 0*x = 16. Let r be j/10 + 3 + 0. Let r*s**2 - 1/4*s**4 + 0*s**3 - 1/4 + 0*s = 0. Calculate s. -1, 1 Let t(s) be the third derivative of -s**5/40 - s**4/24 - s**3/36 + 14*s**2. Suppose t(j) = 0. What is j? -1/3 Let c be (-2 + 3)/1*2. Let r(v) = -v + 1. Let w(u) = 2*u**2 + 2*u - 4. Let l(f) = c*r(f) + w(f). Solve l(x) = 0 for x. -1, 1 Find j such that -32/9 - 126*j**4 - 232*j**3 + 160/9*j + 448/9*j**2 = 0. -2, -2/7, 2/9 Factor 1/2*s**4 + s + 0 + 0*s**3 - 3/2*s**2. s*(s - 1)**2*(s + 2)/2 Let n(y) = -3*y**3 + 11*y**2 + 5*y - 13. Let h(s) = -s**3 + s**2 + s - 1. Let g(v) = -5*h(v) + n(v). Suppose g(b) = 0. What is b? -2, 1 Let t(z) be the first derivative of 3 + 2*z**3 + z + z**4 + 1/5*z**5 + 2*z**2. Suppose t(h) = 0. Calculate h. -1 Let d(t) be the second derivative of -4/5*t**2 - 1/30*t**4 - 2*t + 0 - 4/15*t**3. What is z in d(z) = 0? -2 Let y(z) be the first derivative of 2*z**5/5 + 2*z**4 + 4*z**3/3 - 4*z**2 - 6*z - 17. Factor y(i). 2*(i - 1)*(i + 1)**2*(i + 3) Let 1/3*b**3 - 3*b - 5/3 - b**2 = 0. What is b? -1, 5 What is b in 2*b**2 + 6*b**2 - b - 7*b**2 = 0? 0, 1 Let q be (-7 + 10)/(6/4). Let 4*f**3 + 37*f**4 + 6*f**q - 25*f**4 + 3*f**5 + 11*f**3 = 0. Calculate f. -2, -1, 0 Let q(g) = 2*g**2 - 11*g + 9. Let k(c) be the first derivative of c**3/3 - 3*c**2 + 5*c - 3. Let i(f) = -11*k(f) + 6*q(f). Factor i(x). (x - 1)*(x + 1) Let x = 24 - 47/2. What is q in 1/2 - q**2 + 0*q + 0*q**3 + x*q**4 = 0? -1, 1 Factor -n**4 + 4*n - 35 + 15 + 20 - 3*n**3. -n*(n - 1)*(n + 2)**2 Let y be ((2 - 4) + 0)/((-6)/7). Solve 0*w - 2/3*w**2 + 4*w**4 + w**3 + y*w**5 + 0 = 0 for w. -1, 0, 2/7 Let p(v) = -v**3 - 7*v**2 - 8*v - 9. Let g = 13 - 19. Let m be p(g). Factor -16 - 3*z**3 - 24*z - 12*z**2 + z**3 + z**m - z**3. -2*(z + 2)**3 Let i(g) be the first derivative of -g**3/6 + g/2 + 10. What is h in i(h) = 0? -1, 1 Let a = 14 + -10. Factor -6*t - 4*t**4 - 21*t**2 - 27*t**3 - 3*t**5 - 12*t**a + t**4. -3*t*(t + 1)**3*(t + 2) Let q(x) be the second derivative of 0*x**4 + 0*x**6 + 0*x**2 - 5*x + 1/2*x**3 + 0 - 3/10*x**5 + 1/14*x**7. Factor q(l). 3*l*(l - 1)**2*(l + 1)**2 Let r = 9 + -3. Suppose 0 = -5*a - 4*x + r*x + 56, -5*a + 58 = -x. Factor 11*p**3 - 36*p - a*p**3 + 9*p**3 - 12 - 9*p**2 + 7*p**3. 3*(p - 2)*(p + 1)*(5*p + 2) Let v(n) be the third derivative of -1/12*n**4 + 0*n - 1/2*n**3 + 0 - n**2 - 1/180*n**5. Find k such that v(k) = 0. -3 Factor 4/11*u + 14/11*u**2 - 10/11. 2*(u + 1)*(7*u - 5)/11 Let f = -151 + 1065/7. Factor 8/7*n + 10/7*n**2 - 6/7*n**3 - f. -2*(n - 2)*(n + 1)*(3*n - 2)/7 Let w be -1 + -1 + (-12)/((-12)/4). Find u such that -2/3*u**2 - 4/3*u + w = 0. -3, 1 Find h, given that -2/3*h**3 + 2*h - 4/3 + 0*h**2 = 0. -2, 1 Let n = 63 + -314/5. Let h(b) be the second derivative of -2*b - 1/50*b**5 + 0 + 1/15*b**3 - 1/30*b**4 + n*b**2. Factor h(i). -2*(i - 1)*(i + 1)**2/5 Let a(f) = f**5 - f**4 + f**3 + f**2 + f - 1. Let j(w) = 3*w**5 - 3*w**4 + w**3 + 3*w**2 + 2*w - 2. Let v(b) = 2*a(b) - j(b). Factor v(z). -z**2*(z - 1)**2*(z + 1) Let f be (-1)/6 - ((-762)/144 - -5). Let h(c) be the third derivative of 0 + 0*c + f*c**4 - 2*c**2 + 1/3*c**3 + 1/60*c**5. Factor h(n). (n + 1)*(n + 2) Let b(x) be the second derivative of 7*x**5/100 - 19*x**4/60 - x**3/5 + 4*x. Factor b(j). j*(j - 3)*(7*j + 2)/5 Let j(l) = -l**3 - 2*l**2 - 2*l - 4. Let f be j(-2). Factor 0 + f*p**2 - 3/2*p**5 + 0*p**3 - 1/2*p**4 + 0*p. -p**4*(3*p + 1)/2 Let y be (2 - (-76)/(-40))*6/3. Find b such that 1/5*b**5 + 2/5*b**4 + 0*b**3 - y*b - 2/5*b**2 + 0 = 0. -1, 0, 1 Find a such that -3/5*a + 0 + 6/5*a**2 - 6/5*a**4 + 3/5*a**5 + 0*a**3 = 0. -1, 0, 1 Let a = -90 - -992/11. Factor -a*t**2 + 0 + 2/11*t. -2*t*(t - 1)/11 Let m(g) be the first derivative of g**4/32 - 3*g**2/16 - g/4 - 13. Factor m(o). (o - 2)*(o + 1)**2/8 Suppose 2*u + 18 = -u. Let l(p) = p + 10. Let c be l(u). Factor 0 + 0*j + 0*j**3 - 2/7*j**c + 2/7*j**2. -2*j**2*(j - 1)*(j + 1)/7 Let u(l) be the third derivative of l**7/280 + l**6/40 + l**5/20 - l**3/2 - 4*l**2. Let v(r) be the first derivative of u(r). Factor v(k). 3*k*(k + 1)*(k + 2) Factor -1/2*g + 0 - 1/2*g**2. -g*(g + 1)/2 Let h(f) be the third derivative of f**7/105 - f**6/20 + 13*f**5/120 - f**4/8 + f**3/12 + 2*f**2. Factor h(i). (i - 1)**2*(2*i - 1)**2/2 Let p(f) be the first derivative of 4*f**3/5 + 57*f**2/10 - 3*f - 2. Factor p(n). 3*(n + 5)*(4*n - 1)/5 Solve 2/5*w**2 + 0 + 0*w + 11/5*w**3 - 6/5*w**4 = 0 for w. -1/6, 0, 2 Let j(t) be the third derivative of t**8/336 - t**6/120 + 8*t**2. Factor j(c). c**3*(c - 1)*(c + 1) Let m be 1/(-3)*(-5)/350. Let r(u) be the third derivative of 0*u**3 - 1/60*u**5 + 0*u + 0 - u**2 + m*u**7 - 1/24*u**4 + 1/120*u**6. Factor r(v). v*(v - 1)*(v + 1)**2 Let i(n) be the third derivative of 3*n**2 + 3/10*n**6 + 0 + 1/8*n**4 + 4/35*n**7 + 0*n**3 + 3/10*n**5 + 0*n. Factor i(f). 3*f*(2*f + 1)**3 Let q(f) be the first derivative of -f**6/180 + f**4/12 - 2*f**3/3 - 4. Let r(s) be the third derivative of q(s). Factor r(b). -2*(b - 1)*(b + 1) Factor -2/3*o**4 + 0 + 2/3*o**2 - 2/3*o**5 + 2/3*o**3 + 0*o. -2*o**2*(o - 1)*(o + 1)**2/3 Let b be 2 - (-24)/(-15) - 15/100. Let c(n) be the first derivative of -1/4*n + 1/3*n**3 - b*n**2 - 3 + 1/8*n**4 - 3/20*n**5. Suppose c(y) = 0. What is y? -1, -1/3, 1 Let g be (-124)/(-44) + 4/22. Let u(l) be the second derivative of 0 + 1/48*l**4 + 0*l**g - 1/8*l**2 + 2*l. Let u(b) = 0. Calculate b. -1, 1 Let x(c) = -c**2 - 6*c + 8. Let n(m) = -5*m**2 - 23*m + 32. Let v(
{ "pile_set_name": "DM Mathematics" }
+ 470 = 0 for c. -8 Solve 0 = 5*y - 15*l - 20, -4*y + 4*l - 12 = -0*l - l - 7 for y. -5 Solve 5*v - 5992 + 5811 = 4*j, 30179 = 4*j + 915*v for j. -4 Solve -a = -6*y - 65, -1227*y + 76*a + 76 = -1228*y + 11*a for y. -11 Solve 0 = -5*k + 50, -3463 = 3*n + n - 3*k - 3437 for n. 1 Solve 4*r = -7*f - 8 - 4, 5*r - 9*r = -9*f + 12 for r. -3 Solve 1454*n - 1455*n = -2*y + 9, 3*y - 9 = -3*n for y. 4 Solve -6109*d = -6113*d - 564*l - 1712, 2*l = 4*d + 14 for d. -5 Solve -2*p - 70 = 3*m - 6*m + m + 4*m + 8*m, 21 = 6*p - 3*m for p. 0 Solve 273*m - 270*m + a = 13, m + 26 = 4*a for m. 2 Solve -750*x + 1468 = -4*q, -4*q + 0*q + 3*x = -26 for q. 8 Solve 4*x - 4*i - i + 135 = 82, 0 = 3*x + 5*i - 4 for x. -7 Solve -2*t = -2*t - 22*j + 18*j - 12, 2437*j = -4*t + 2439*j + 210 for t. 51 Solve p + 10137 - 10327 = 8*h, 3*p = -h - 30 for p. -2 Solve 3*y = 239*g - 234*g - 433, y - 2*y - 5*g + 449 = 0 for y. 4 Solve g + 7 + 5 - 12 - 26 = 3*r, 0 = -r + 217*g - 1092 for r. -7 Solve -2*g - 1450*i = -1454*i + 2, -4*i = -4*g + 8 for g. 5 Solve 34166 - 34167 = i - 13*d, 0 = -4*i - 5*d - 118 for i. -27 Solve 46 = -3*y + 7*o, 58480*y + 14*o - 102 = 58476*y for y. 1 Solve x = 8*x, -140*m + 8 = -139*m - 0*x + 5*x - 3 + 4 for m. 7 Solve -2*k - 3*l + 84 = 206, -31*k + l + 85 + 114 = 0 for k. 5 Solve -40 = 4*t + u, -4*t + 28422*u + 48 = 28401*u for t. -9 Solve 5*j = -4*p + 35, 1433429*p = 2*j + 1433431*p - 16 for j. 3 Solve -y + 90 = 6*j, 64*j = -7*y + 69*j + 395 for y. 60 Solve -x = 5*d - 29 + 63, -2*d - 2742 = 144*x for x. -19 Solve -57*i + 4*z = -110*i + 56*i - 149, 4*i - 5*z = 7*i + 220 for i. -5 Solve 4*d = 5*s - 218, 4*d - 12834*s + 12835*s + 230 = 0 for d. -57 Solve 7*d - 4*x - 320 = -5*x + 56, 3*x = -0*d + 8*d - 409 for d. 53 Solve -6*s + 69 = -y + 70, 2*s + 37 + 0 = -3*y for y. -11 Solve w - 18 = -n + 6*n, 223*n - 22 = 238*n + w for n. -2 Solve -2*g + 593 - 504 = 15*d, 2*d + 3*g - 31 = 0 for d. 5 Solve 361 = 100*j + n + 6026 + 2937, 14*j - 13*j + 4*n + 94 = 0 for j. -86 Solve -4*d + 2*d = -5*w + 42, 2*d = -3*w + 7 + 15 for d. -1 Solve 0 = j - 5*g + 21, -23*j = -18*j - 40*g + 165 for j. -1 Solve 3688*t + 30 = 2*b + 3692*t, -2*b - 5 = -3*t for b. 5 Solve 5*u + 149*d - 55*d - 176 - 596 = 0, 7*u = 4*d + 79 - 83 for u. 4 Solve -14*m - 60*k = -4*m - 7*m - 64*k + 69, 7*m + 6 = -k for m. -3 Solve 3*p - 2408*l - 33 = -2403*l, 34 = -4*p - 2*l for p. -4 Solve -21*g + 72 = 4*i, -1427*g + 23 = -i - 1422*g for i. -3 Solve 5*l + 135*m - 131*m - 88 = 0, 6*l + 11*l = -3*m + 119 for l. 4 Solve 903*m + 4*i + 54 = -902*m + 1812*m, 0 = -m + 12*i + 202 for m. -2 Solve 62*b - 3*k - 140 = 64*b, -8*k = -7*b + 2*b + 363 for b. -1 Solve -9069*c = -3*z - 9062*c + 10, -4*z + 8 = -4*c for z. 1 Solve -4*b = -4*p - 2*b, -3*p + 16*p = 11*p - b + 20 for p. 5 Solve 3*x + 165*h = 161*h + 34, 227 = 23*x - 3*h for x. 10 Solve 4*i = -4*w - 8, 2038*i - 34 = 2028*i + 2*w - 3*w for i. 4 Solve -107*h - 9*l = -40*h - 6*l - 1142, -4*h + 28 = -2*h - 6*l for h. 17 Solve -37*g = -4*d - 45*g - 28, d - 17*g + 10 = -18*g for d. -13 Solve 77*z + 29 = -o + 143 + 268, 5*o = -0*z - 3*z for z. 5 Solve -3*t - 6*i - 18 = 0, -2*t + 2412*i - 6 = 2410*i for t. -4 Solve -55*t = -50*t - 5*q, -15*q - 12 = -3*t for t. -1 Solve 31110*d - 31109*d - 2 = 3*a, 32*a - 29*a = -d - 28 for d. -13 Solve 0*n + 22*q = -0*n, -3*n + 365*q = 370*q + 93 for n. -31 Solve 3*y = 4*n + 88 - 20, -n - 3*y = n - 74 for n. 1 Solve g = -8*o + 17, -2988*g = 3*o - 2984*g + 48 for o. 4 Solve 3477*g - 3478*g + 6 = 5*n, 20 = -3*g + 4*n for g. -4 Solve -13*o = 2*u + 127, 586 = u + 11*o + 690 for u. -5 Solve -55*x + 75*x = 2*g - 3*g - 147, 3*g + 49248 = 49227 for x. -7 Solve 4*a + 1 = 4 - 1 - 6, 2*r - r + 141*a + 162 = 0 for r. -21 Solve 5*d + 11 = -2*b, 242*d - 246*d + b = 14 for d. -3 Solve 3*d - 5*d - 53 + 43 = 0, 5*g + 37 + 53 = -4*d for g. -14 Solve 5*v = 625*h - 42642 + 42007, h - 5*v - 11 = 0 for h. 1 Solve s + 13*s + 5*y = s - 3, -3*y + 4 + 1 = s for s. -1 Solve -10 = -5*d - 5*i, d + 148*i - 144*i + 1 = -3 for d. 4 Solve 5*b + 7*j = 25*j + 39, -b + j = 0 for b. -3 Solve -3*p + 2553 - 5092 + 2503 = -a, 3*a - 5*p = 108 for a. 36 Solve -h - 151 - 10 = 4*i, -i + 6*i + 5*h + 116 = -74 for i. -41 Solve -9*v + 10*v - p + 6*p + 11 = -15, -5*p = 1266*v + 45566 for v. -36 Solve -27*f - 78 = 6*k, -26 = -411*f + 414*f + 5*k for f. -2 Solve 15*h - 33*h + 16*h + 2751 = 211*l, -l = 2*h - 21 for l. 13 Solve -4*r = -10*k + 2*k, -56*k + 71*k - 17 = -3*r + 4 for k. 1 Solve 5*q - x = -24, -6*q + 3*x = 2*q + 28 + 16 for q. -4 Solve 0 = 4*u - 2*w + 234, -31*w + 28*w + 61 = -4*u + 3*u for u. -58 Solve -58 - 57 = -z + 5*s - 107, -2*z - 3*s = 10 for z. -2 Solve -j + 2*h + 9 = 0, -57505*j = -57507*j + 2*h + 5 - 1 for j. -5 Solve 0 = -2*d + 2*p - 312 + 272, 11*d + p = -208 for d. -19 Solve 2*z + 26 = 4*k, z - 43 = -18311435*k + 18311430*k for k. 8 Solve -3*q + 309 - 305 = 4*f, -3*f = -22*q - 3 for f. 1 Solve 0*s + 0*s - 25*r - 15 = -30*r, 0 = 2*s + 2*r + 9 + 1 for s. -8 Solve 2*b - 13*y = -63, -4*b + 118 - 119 = -2*y + y for b. 1 Solve 5*v - 382*x + 378*x = -54, -3*x + 36 = -4*v + 2*x for v. -14 Solve -5*j - 322*p + 15 = -319*p, -3*j - 3*p = -2*p - 9 for j. 3 Solve -5*n + 6*n - 54 = 4*b, 209*n - 210*n - 16 = b for b. -14 Solve 501*h = 5*b + 497*h - 48, -4*b - 5*h - 60 = 0 for b. 0 Solve -28*p + 26*p = 2*f - 4, -3*f + 0 = 6*p - 21 for f. -3 Solve 42*k - 66 = 101*k - 47*k - 3*o, -o = 4*k + 18 for k. -5 Solve 33*k = 31*k - 3*a + 358 - 398, -6*k - 3*a = 24 for k. 4 Solve 3*h - 76 + 484 = -34*i, i + 4*h = -12 for i. -12 Solve -323362*z + 323363*z = -4*o - 1, -2*o = 6*z - 16 for z. 3 Solve 0 = -6*y - 3*z + 231, 4*y = z + 49921 - 49776 for y. 37 Solve 5*w + 692 - 217 = 5*s, w - 25 = 2*w + 3*s + 90 for w. -100 Solve -v = 5*t + 37, 21376*t - 21379*t = 5*v + 75 for v. -12 Solve 0 = -5*l - 244*y - 2181, 5*y + 73 = 3*l - 33 + 52 for l. 3 Solve -5*f - 2291*u + 4589*u - 3 = 2300*u, -5*f + 5*u = 45 for f. -3 Solve 5*t + 44 = -2*b - 2*b, -2*b = 154*t + 286 + 342 for b. -6 Solve -4*k = -11*d - 65, -2*k + 50 = -93478*d + 93476*d for k. 30 Solve 7*m + 4 + 39 - 8 = 0, 2*l + 8*m = 2*m + 11*m + 15 + 8 for l. -1 Solve 4*n = 336*h - 340*h - 40, -41*h + 4*n = -41*h - 40 for h. 0 Solve -3866*v + 5*j = -3870*v + 13, 62 = v + 13*j for v. -3 Solve w - 3633*a + 15 = -3630*a, 33*w + 40 - 10 = 31*w - 4*a for w. -15 Solve 3*c + 5*n = -31, -681*c = 697*c - 1373*c + n - 7 for c. 3 Solve 11 = -3*y - f, -262445*f + 10 = -262447*f for y. -2 Solve -130 = -2*i + 5*h - 92, 11*i - 94*i - h = -1160 for i. 14 Solve -2*w - 4*g + 12 = 0, -2*g - 135 - 53 - 2 = 71*w + 84 for w. -4 Solve 0 = -3*x + 2*m + 35, -x - 494*m = 487*m - 994*m + 13 for x. 13 Solve -f + 5*p + 729876 - 729847 = 0, -p - 5 = 0 for f. 4 Solve 4*f = 4*s + f + 22 - 7, 4*f - 11 = 9 for s. 0 Solve 160 - 55 = 19*t + 4*m, -3*t - 4*t - 28 = -11*t - 23*m + 260 for t. 3 Solve -2*z - 40 = 3*r, 2*z + 48 = -19*r + 20*r for r. 2 Solve -115 = 5*f + 2*w, -824*w + 23 = -f - 820*w for f. -23 Solve -3*r = 12*p + 138, -p + 36 = 690*r - 691*r for p. -2 Solve -d + 399*s - 76 = 397*s, -2*d - 2*s + 76 = 0 for d. 0 Solve 48 = 2*w - 5*f, -3*w + 8*f = -1280 + 1208 for w. 24 Solve 0*d + 5*g - 102 = 3*d, -g - 70 = -5*d - 218 for d. -29 Solve -r + 5*b - 25 = 0, 2*b = -34038*r + 34040*r + 2 for r. 5 Solve 98*x = 100*x - 11*w + 72, 2*x - 4*w + 44 = 0 for x. -14 Solve -2*a - 4*a + 4*a + 6 = -4*d, -158 + 43 - 119 = 78*d for a. -3 Solve 3007*h = 3010*h + f - 138, -2*h + 5*f = -75 for h. 45 Solve -2*i = 3*s - 22, -237 + 638 - 301 = 13*i - 2*s for i. 8 Solve -39*h + 62*h + 5*u - 15 = 0, -20*h + 19*h = -4*u + 12 for h. 0 Solve 0 = -4*y + 5*x - 42, -69 + 161 - 56 = -4*y + 2*x for y. -8 Solve -15*n = 3*g + 26 + 148, -23*g + 64 = -24*g - 14 for n. 4 Solve 2*i + 3*s = 5*i - 84, 5 = 26545*s - 26546*s for i. 23 Solve -r + 13 = 364555*a - 364560*a, 11*a + 13 = -3*r for a. -2 Solve 1637*t + 3*k = 1630*t - 33, 2*k - 6 = 0 for t. -6 Solve 5*w + 3*x + 11 = 0, -4*w + 1943*x - 27 = 1948*x for w. 2 Solve 37724*n - 11*s = 37728*n - 107, 3*n + 3*s - 33 = 0 for n. 2 Solve 0 = -i, 14*k - 7 - 3 = 5*k - 0*i + 2*i - 0 + 8 for k. 2 Solve 0 = -19*z - 912, 613*t - 285 + 30 = 1218*t - 610*t + 5*z for t. 3 Solve -16*l - 4*q - 268 = 0, 32711*l - 32712*l - 19 = q for l. -16 Solve -10*o - 132 - 11 = x + 243 + 37, -5*x - 15
{ "pile_set_name": "DM Mathematics" }
+ 7. Let b be w(-6). Let k = b - -13. Calculate the remainder when k is divided by 5. 3 Let d = 3 - 1. Let c(s) = d*s + 1 - 4*s + 0*s. Calculate the remainder when c(-3) is divided by 3. 1 Let s(j) = 4*j**3 - j**2 - 2*j + 2. What is the remainder when s(2) is divided by 11? 4 Suppose 2*q - 159 = q. Calculate the remainder when q is divided by 40. 39 Let t = 3 + 3. Let u(n) = -n + 4. What is the remainder when t is divided by u(0)? 2 Let m(w) = w**2 - 10*w + 11. Let j be m(9). Suppose 3*d = j*d. What is the remainder when 11 is divided by 7 - 5 - (d + -1)? 2 Suppose -1 - 4 = -c + g, 0 = 2*c - 5*g - 10. Suppose -20 = -2*x - h - 3, -c*x + 10 = -4*h. Calculate the remainder when 10 is divided by x. 4 Suppose 4*x + 63 = 235. Let h(q) = -2*q + 7. Calculate the remainder when x is divided by h(-4). 13 Suppose o - 15 - 12 = 3*l, 0 = 2*o - 5*l - 53. Calculate the remainder when 61 is divided by o. 13 Let n(z) = z**3 + 11*z**2 + 10*z + 13. What is the remainder when 63 is divided by n(-10)? 11 Let p(b) = -4*b - 22. Calculate the remainder when 10 is divided by p(-7). 4 Let q = 45 - 11. Calculate the remainder when q is divided by 12 + -5 + (-2)/(-1). 7 Let f = 92 + -47. Let c = f + -29. What is the remainder when 62 is divided by c? 14 Suppose 21 = 3*h - 24. Let z = -17 - -10. Let n(q) = q**3 + 9*q**2 + 11*q + 7. Calculate the remainder when n(z) is divided by h. 13 Let v(k) = -k**3 - 3*k - 3. Suppose 32 = 5*u + 3*j, 4*j - 34 = -4*u - 2. Let g(q) = 5*q + 1. Calculate the remainder when g(u) is divided by v(-2). 10 What is the remainder when 55 is divided by 11 + 1 - (-8 - -6)? 13 Suppose 0 = -3*w + 9, -5*s = -s - 4*w - 108. Calculate the remainder when s is divided by 11. 8 Suppose 3*a - 311 = c, -4*a + 3*a - c = -105. What is the remainder when a is divided by 18? 14 Suppose 2*l - 5 = 5*j, 4*l - 3*j - 3 = 2*l. Let q = 1 - l. Suppose -5*b + 13 = 8. Calculate the remainder when q is divided by b. 0 Suppose 3*g = 2*s + 24, -g + 2*s - 3 = 5*s. Calculate the remainder when (3 - 0)*(1 - -2) is divided by g. 3 Suppose 5*s - 24 = j, 30 = 8*j - 3*j + 5*s. Suppose -9*d - 4 = -11*d. Calculate the remainder when d is divided by j. 0 Let k(g) = -g**2 - 11*g - 16. Calculate the remainder when 31 is divided by k(-8). 7 Suppose -5*t + 4 = -3*j, 4*j - 4 = 4*t - 2*t. Suppose x + 4*u = 6*x - 5, 0 = -3*x + 4*u + 11. What is the remainder when 45 is divided by ((-9)/t)/(x/8)? 9 Let r be (-6)/(-1 + -1 - 0). Suppose r*x - 40 = x. Suppose p - 33 = -2*p. What is the remainder when x is divided by p? 9 Let t = -38 + 54. What is the remainder when 58 is divided by t? 10 Suppose 9*f - 65 = 4*f. Let b be 17/5 + 4/(-10). Suppose -3*t + z + 35 = -b*z, 3*z = -15. Calculate the remainder when f is divided by t. 3 Let v(m) = m**2 - m + 24. What is the remainder when v(0) is divided by 13? 11 Let h be -13*5*(2 - 3). Suppose y - h = -4*y. Calculate the remainder when 25 is divided by y. 12 Let c = 188 - 122. Calculate the remainder when 197 is divided by c. 65 Suppose 2*n - i = -2*n - 6, -n - 9 = -4*i. Let j be n/2 - 7/(-2). Suppose 0 = 2*y + j*k - 82, -k - k = 5*y - 216. What is the remainder when y is divided by 15? 14 Let v(g) = -2*g**2 + 42*g + 8. Calculate the remainder when v(20) is divided by 10. 8 Let t(x) = x**2 - 7*x + 3. Let h = -4 - -3. Let v be h*2*(-8)/2. What is the remainder when t(v) is divided by 4? 3 Let q(b) = b**3 + 2*b**2 + 2*b + 7. What is the remainder when q(3) is divided by 4? 2 Let k(g) = -g**3 + g**2 + 4*g + 2. What is the remainder when 8 is divided by k(-2)? 2 Let m = -16 + 31. Let v = m + -7. What is the remainder when 21 is divided by v? 5 Let r(x) = -7*x**3 + x + 1. Let h be r(-1). Let y(q) = 4*q - 1. Let l be y(h). Let m = l + -10. Calculate the remainder when 66 is divided by m. 15 Let v(d) = -d**3 + 2*d - 1. Let a(x) be the third derivative of x**4/24 - 4*x**3/3 - x**2. Calculate the remainder when v(-2) is divided by a(9). 0 Let h = 9 + 11. Calculate the remainder when 77 is divided by h. 17 Let w(v) = -2 - 5 - 4*v - v**2 + 2*v**2 - 4*v. Let n be w(9). Suppose 4*q - n*q = 10. What is the remainder when q is divided by 3? 2 Suppose 0 = -x + 52 + 51. Suppose -5*u + x = -4*c, 5*u = u + c + 78. Calculate the remainder when u is divided by 2/3*(-21)/(-2). 5 What is the remainder when 42 is divided by 4/(-3)*(-5 - -4)*6? 2 Suppose 3*v = -v. Suppose v*z = -z + 4*w + 18, 4*z - w = 12. Suppose -6*l + l - 80 = -z*y, 2*l + 39 = y. Calculate the remainder when y is divided by 12. 11 Let n(u) = -u**3 - 11*u**2 - 11*u - 5. Let a be n(-10). Suppose 0 = -4*k + a*o + 4 + 11, -k - 2*o + 20 = 0. What is the remainder when 37 is divided by k? 7 Suppose 4*x - 6*x = -94. What is the remainder when x is divided by 12? 11 Suppose 0*n = 3*z - 4*n, 0 = -z + 2*n. Suppose z*q + 2 = -q. What is the remainder when 11 is divided by (-2)/q + 2 + 1? 3 Let m(t) = -3*t. What is the remainder when 0/(-1) - 88/(-4) is divided by m(-4)? 10 Suppose 8 + 13 = 3*k. Suppose -3*d + k*a + 15 = 4*a, 2*a + 11 = 3*d. Calculate the remainder when d is divided by 1. 0 Let i = 176 - 140. Calculate the remainder when i is divided by 21. 15 Let u(l) = -l**3 - 12*l**2 - 15*l - 42. Calculate the remainder when 42 is divided by u(-11). 0 Let a = 45 - 44. What is the remainder when 1 is divided by a? 0 Let z be 3 + 3/((-6)/(-2)). Suppose -4*p - z*g + 80 = 0, 1 = -p + g + 11. What is the remainder when 28 is divided by p? 13 Calculate the remainder when 127 is divided by 40/14*7/2. 7 Suppose 5*a = 3*a. Calculate the remainder when (2 - -35)*(a - -1) is divided by 13. 11 Suppose 125 = -7*x + 2*x. Let i = x + 36. What is the remainder when 41 is divided by i? 8 Let k = -32 + 53. Let y = 12 - k. Let j = y + 23. Calculate the remainder when 26 is divided by j. 12 What is the remainder when 1/((-2)/(-3))*10 is divided by 3? 0 Suppose 275 = 5*n - 35. What is the remainder when n is divided by 32? 30 What is the remainder when 783/11 + 8/(-44) is divided by 25? 21 Suppose 4*b + 196 = 52. Let q = 69 + b. Calculate the remainder when q is divided by 17. 16 What is the remainder when (-21)/15*(-10 - 0) is divided by -1*(0/(-1) + -5)? 4 Suppose -5*j + 28 = 8. Suppose 3*z - 3*k - 69 = 0, 124 = 6*z - 2*z + j*k. What is the remainder when z is divided by 15? 12 Let c(h) = h**3 - 5*h**2 + h. Let i be c(5). Suppose 6*y + 5 = i*y, -y - 29 = a. Let b = a + 49. Calculate the remainder when b is divided by 7. 4 Suppose 4*c + 246 = 586. Suppose 6*y - y = c. What is the remainder when y is divided by 5? 2 Let r(q) = q**2 - 9*q + 11. Calculate the remainder when 52 is divided by r(9). 8 Let q = -3 + 4. Let c = q + 1. Suppose 4*z = -f - f + 38, f = c*z - 21. Calculate the remainder when z is divided by 4. 2 Let g(v) = 31*v**2 - 2*v + 3. What is the remainder when g(1) is divided by 11? 10 Let g(j) = -j**3 - 3*j**2 - 4*j - 2. Calculate the remainder when 14 is divided by g(-3). 4 Calculate the remainder when (-9)/(-27) + (-130)/(-6) is divided by 8. 6 Let a = 19 + -15. Suppose -114 = -a*h - 5*l, -4*h - 2*l + 144 - 24 = 0. What is the remainder when h is divided by 11*2/(-4)*-2? 9 Suppose -w + 4*y + 30 = 0, 76 = -5*w - 3*y + 249. Let f = w - 14. Suppose -3*r + 32 = n, 2*r - n - 27 = 4*n. What is the remainder when f is divided by r? 9 Let l = 11 - 5. What is the remainder when 10 is divided by l? 4 Suppose 54 - 77 = -u. What is the remainder when u is divided by 13? 10 Let b(k) = -4 + 2 + k**2 + 4 - 3*k + 1. What is the remainder when b(6) is divided by 8? 5 Let g(c) = 3*c**2 + 2. Suppose 2*h - 7 = 1. Calculate the remainder when g(h) is divided by 13. 11 Suppose 0 = -2*w + 9 + 3. Calculate the remainder when (-184)/(-10) - w/15 is divided by 10. 8 Let s(o) = 4*o + 3. Calculate the remainder when s(3) is divided by (-36)/3*(-3)/6. 3 Let o(t) = t**2 + 11*t + 33. Calculate the remainder when 30 is divided by o(-6). 0 Let w(n) = n**3 - 4*n**2 - 3*n - 7. Suppose -42 = -5*s - 12. What is the remainder when w(s) is divided by (-16)/(-3)*(2 + 1)? 15 Let m be 2*2/(-10)*-10. What is the remainder when (-9)/m*(-96)/9 is divided by 13? 11 Let n(g) = -g**2 - 5*g + 1. Let p be n(-3). Suppose -2*y = -3*y + p. Suppose -5*t + 3 = -y. What is the remainder when 2 is divided by t? 0 Let s(p) = 8*p - 1. Suppose -h - 2 + 11 = 0. Calculate the rema
{ "pile_set_name": "DM Mathematics" }
-6 Solve -42 = -5*r - 17 for r. 5 Solve -240 = -177*n + 217*n for n. -6 Solve -25*v + 26 + 99 = 0 for v. 5 Solve 0 = -162*l + 161*l - 5 for l. -5 Solve -6*t = -10*t + 4 for t. 1 Solve 40*i = 8*i for i. 0 Solve 0 = 23*b - 19*b - 16 for b. 4 Solve -54*z = 488 - 110 for z. -7 Solve 0 = 8*i + 3*i + 11 for i. -1 Solve v + 8*v = 3*v for v. 0 Solve -22*k = 67 + 65 for k. -6 Solve -1 = -30*v - 1 for v. 0 Solve 0 = 269*c - 261*c + 48 for c. -6 Solve 8*u = -116 + 100 for u. -2 Solve -60*g = -28*g - 64 for g. 2 Solve -2*m = -0*m for m. 0 Solve 0 = 62*t - 52*t - 40 for t. 4 Solve 0 = 3*b + 5*b - 4*b for b. 0 Solve -14*w + 2 = -15*w for w. -2 Solve -8*o = o + o for o. 0 Solve 0 = 54*s - 57*s + 6 for s. 2 Solve 235*x = 223*x + 60 for x. 5 Solve 50 = y - 51*y for y. -1 Solve -69 = 4*c - 61 for c. -2 Solve 65*t = 78*t + 52 for t. -4 Solve -68*i + 21*i - 188 = 0 for i. -4 Solve 7 = 8*r + 23 for r. -2 Solve -z = -239 + 247 for z. -8 Solve 44*o - 264 = -0*o for o. 6 Solve 44*z - 436 = -65*z for z. 4 Solve -1625*x + 76 = -1606*x for x. 4 Solve -14*y = -17 + 73 for y. -4 Solve 22 = -10*a - a for a. -2 Solve 29*z + 120 = 5*z for z. -5 Solve 16 = 61*n - 106 for n. 2 Solve 61*j = -36 + 97 for j. 1 Solve 3*i - 2*i = -6 for i. -6 Solve -3*y - 6 = -18 for y. 4 Solve 0 = 8*w - 9*w + 3 for w. 3 Solve 12*h = 9 + 51 for h. 5 Solve -1868 = -6*r - 1814 for r. 9 Solve 54*y - 55*y = 2 for y. -2 Solve -9*c = -17 + 8 for c. 1 Solve -9 = 15*k + 51 for k. -4 Solve 5*w - 456 + 476 = 0 for w. -4 Solve 9*m - 11*m + 2 = 0 for m. 1 Solve 25 = 3*u + 16 for u. 3 Solve 6*g - 3 = 7*g for g. -3 Solve -172*p + 84 = -151*p for p. 4 Solve 0 = 12*a + 66 - 18 for a. -4 Solve -58 = 39*m - 10*m for m. -2 Solve -11 = 14*a - 53 for a. 3 Solve 15*y + 3*y + 54 = 0 for y. -3 Solve -47*d + 44*d = -15 for d. 5 Solve 0 = -12*m - 50 - 10 for m. -5 Solve 0 = -41*m - 10*m + 357 for m. 7 Solve -9*f + 40 - 4 = 0 for f. 4 Solve 23*v - 19*v = -16 for v. -4 Solve 138*m + 16 = 130*m for m. -2 Solve -y - 119 = -123 for y. 4 Solve -6*b = -1036 + 982 for b. 9 Solve -6*c = -194 + 200 for c. -1 Solve -2*t = 10*t - 0*t for t. 0 Solve 0 = -3*s + 7*s for s. 0 Solve -339*s = -330*s - 27 for s. 3 Solve 0 = 53*j - 52*j - 3 for j. 3 Solve 266*g - 44 = 277*g for g. -4 Solve -5*t - 18 + 3 = 0 for t. -3 Solve 6*h - 8*h = 0 for h. 0 Solve -9*j = 9*j + 108 for j. -6 Solve 0 = -3*o - 3*o + 18 for o. 3 Solve -3*v = 135 - 141 for v. 2 Solve 8*r = -394 + 426 for r. 4 Solve 26 = 44*t - 106 for t. 3 Solve 13*o = 4*o + 45 for o. 5 Solve 0*h = 9*h - 54 for h. 6 Solve 0 = 10*n + 579 - 619 for n. 4 Solve 0 = u - 82 + 80 for u. 2 Solve 291*m - 70 = 301*m for m. -7 Solve -22*o - 9*o + 93 = 0 for o. 3 Solve 0 = -3*y + 8*y - 20 for y. 4 Solve -24*z = -13*z - 55 for z. 5 Solve 0 = 7*c - 5*c for c. 0 Solve 12*v + 24 + 0 = 0 for v. -2 Solve 19 = 7*h - 9 for h. 4 Solve -17*s = -9 - 25 for s. 2 Solve 25*n - 74 = 26 for n. 4 Solve 16 = 251*k - 259*k for k. -2 Solve 58*p + 12 = 61*p for p. 4 Solve -q + 7*q + 12 = 0 for q. -2 Solve 5*m = 14*m + 4*m for m. 0 Solve -7*j + 12*j - 4*j = 0 for j. 0 Solve -15*t = -68 + 158 for t. -6 Solve s - 118 + 121 = 0 for s. -3 Solve 0 = -88*g + 83*g + 15 for g. 3 Solve -2*g + 6*g = 12 for g. 3 Solve -69*s + 65*s = 4 for s. -1 Solve -68 = 2*v - 78 for v. 5 Solve 18*a + 15 = 15*a for a. -5 Solve -72 = 27*x - 19*x for x. -9 Solve -5 = 4*j - 1 for j. -1 Solve 3*k + 90 - 96 = 0 for k. 2 Solve -10*b - 2 - 8 = 0 for b. -1 Solve -132 = -5*m - 112 for m. 4 Solve 29*z + 8 = 25*z for z. -2 Solve 5*x = 39 - 19 for x. 4 Solve 97 + 47 = 16*a for a. 9 Solve 0 = 54*y + 11 + 97 for y. -2 Solve 163*k = 1266 + 201 for k. 9 Solve -10*y - 6 - 34 = 0 for y. -4 Solve 3 = c + 2*c for c. 1 Solve 0 = 2*b - 2 - 8 for b. 5 Solve -38*o = 23*o + 427 for o. -7 Solve -65*t = -71*t - 18 for t. -3 Solve 13 - 21 = -a for a. 8 Solve 7*p - 3*p + 20 = 0 for p. -5 Solve 83*u = 98*u - 15 for u. 1 Solve -74*g + 78*g + 24 = 0 for g. -6 Solve -237*l - 174 = -266*l for l. 6 Solve -40*y + 312 = 392 for y. -2 Solve -12*w - 26 = -2 for w. -2 Solve -13 + 5 = -2*q for q. 4 Solve 0*p = -19*p - 38 for p. -2 Solve -31*z + 60 = -46*z for z. -4 Solve 8 = -24*n + 23*n for n. -8 Solve -156 = 47*c + 126 for c. -6 Solve 4 = -6*n + 5*n for n. -4 Solve -17*x - 79 = 23 for x. -6 Solve -10*c + 1 = -9 for c. 1 Solve 0*b + 147 = 21*b for b. 7 Solve 1 = 5*j + 11 for j. -2 Solve 148*y = 131*y - 119 for y. -7 Solve 28 = -3*p + 19 for p. -3 Solve -12*c = -78 + 114 for c. -3 Solve 3*z + 24 = -5*z for z. -3 Solve 25*a - 21*a = 8 for a. 2 Solve -x = 3*x + 16 for x. -4 Solve -34 = -6*k - 4 for k. 5 Solve 79 = -9*x + 115 for x. 4 Solve -14*d - 10 = -19*d for d. 2 Solve -3 + 12 = 9*w for w. 1 Solve -64 = -12*g - 148 for g. -7 Solve -8*w - 6 + 30 = 0 for w. 3 Solve t - 21 + 18 = 0 for t. 3 Solve 7 = 2*a - 3 for a. 5 Solve -78*v - 4 = -79*v for v. 4 Solve 10*d + 18 = 4*d for d. -3 Solve 109*g + 6 = 115*g for g. 1 Solve -36*k + 150 = -138 for k. 8 Solve 16*s - 10*s = 0 for s. 0 Solve 0 = 17*p + 8 + 111 for p. -7 Solve -14*x + 34 = -36 for x. 5 Solve 23 = 7*r - 5 for r. 4 Solve -9 - 19 = -14*g for g. 2 Solve -1088 = 5*f - 1123 for f. 7 Solve -12*l - 10 = -2*l for l. -1 Solve 0 = 22*q - 19*q - 12 for q. 4 Solve -28 = -2*g - 5*g for g. 4 Solve -q + 3 = 2 for q. 1 Solve -28 = 9*x - 16*x for x. 4 Solve -222 = 45*c + 183 for c. -9 Solve 9 = -3*k - 0 for k. -3 Solve 0 = -32*l + 25*l - 21 for l. -3 Solve 0 = 20*d - 98 - 2 for d. 5 Solve 7*s + 360 = -83*s for s. -4 Solve 0 = -47*k + 11*k + 72 for k. 2 Solve 5*p = -p + 30 for p. 5 Solve 4*c = -6 + 18 for c. 3 Solve -620 + 146 = -79*r for r. 6 Solve 46*v - 50*v = -16 for v. 4 Solve -16 = 4*j - 12 for j. -1 Solve -9*u = -12*u + 12 for u. 4 Solve -3*d - 2 = -4*d for d. 2 Solve 36 = -15*k + 33*k for k. 2 Solve s - 9 = -15 for s. -6 Solve 0 = 4243*l - 4239*l + 32 for l. -8 Solve 4*o = 2*o - 6 for o. -3 Solve -12 = -44*h - 56 for h. -1 Solve 19 + 2 = -7*k for k. -3 Solve -5*b + 90 = 80 for b. 2 Solve -801 + 709 = -23*n for n. 4 Solve 1 - 8 = -7*l for l. 1 Solve 4359*d - 4341*d - 180 = 0 for d. 10 Solve -15*z = 6*z - 126 for z. 6 Solve 0 = 4*y - 7*y + 6 for y. 2 Solve -45*v + 41*v = -8 for v. 2 Solve 32 - 97 = 13*s for s. -5 Solve 3*c + 2 = 5 for c. 1 Solve -445*h = -449*h - 40 for h. -10 Solve -21*g - 17 + 122 = 0 for g. 5 Solve 43*y + 0 = 258 for y. 6 Solve -22 + 18 = -g for g. 4 Solve -4*u = -14 + 6 for u. 2 Solve -18*m = 432 - 378 for m. -3 Solve 1087*d + 45 = 1102*d for d. 3 Solve -71*s + 12 = -67*s for s. 3 Solve -4*r - 38 = -26 for r. -3 Solve 30*i + 35 = 23*i for i. -5 Solve 19 - 16 = 3*u for u. 1 Solve 61*k = 63*k + 6 for k. -3 Solve 8 = 37*k - 36*k for k. 8 Solve 20*i + 53 = 133 for i. 4 Solve -42 = 650*t - 656*t for t. 7 Solve -37*m = -33*m - 8 for m. 2 Solve 0 = -39*h + 12*h - 81 for h. -3 Solve 10*y = 4*y + 18 for y. 3 Solve -60 = u - 54 for u. -6 Solve -16*t + 177 = 49 for t. 8 Solve 95*n = 97*n - 14 for n. 7 Solve 21*r = 247 - 352 for r. -5 Solve 5*q + 0 - 10 = 0 for q. 2 Solve 193*z = 188*z + 35 for z. 7 Solve -59*a - 4*a - 378 = 0 for a. -6 Solve -4*z = 238 - 234 for z. -1 Solve -47 + 17 = 5*y for y. -6 Solve 6*m + 231 = 273 for m. 7 Solve 0 = -8*w + 11 + 45 for w. 7 Solve 0 = 6*l + 31 - 25 for l. -1 Solve -14*w + 26 = -w for w. 2 Solve -30*z = -2*z - 56 for z. 2 Solve -17*g - 22 = -28*g for g. 2 Solve 97 = 38*w + 401 for w. -8 Solve 0 = -875*r + 879*r + 4 for r. -1 Solve 7 = n - 8*n for n. -1 Solve -64*b + 2 - 2 = 0 for b. 0 Solve 9*t = -8*t for t. 0 Solve -5*d - 31 = -6 for d. -5 Solve 0*a = -5*a - 5 for a. -1 Solve 0*g - 18*g + 72 = 0 for g. 4 Solve 0 = 22*r + 16*r - 152 for r. 4 Solve 119 = -34*h - 187 for h. -9 Solve -13*u = -0 + 13 for u. -1 Solve -86 + 93 = i for i. 7 Solve 10*c - 7*c = 18 for c. 6 Solve -3 - 1 = q for q. -4 Solve 136*c + 84 = 108*c for c. -3 Solve -3 = -6*j - 33 for j. -5 Solve -6*u + 12 + 6 = 0 for u. 3 Solve -25*x - 33*x = -348 for x. 6 Solve 0 = -10*v - 25 + 45 for v. 2 Solve 33*z + 91 = -41 for z. -4 Solve -18*l = -91*l + 365 for l. 5 Solve 3 = 368*u - 367*u for u. 3 Solve 48*x + 30 = 42*x for x. -5 Solve 23*g + 0 = 115 for g. 5 Solve -756*c = -762*c + 36 for c. 6 Solve -7 = 9*f - 16*f for f. 1 Solve -46*d = 76 - 306 for d. 5 Solve 0 = 10*a + 8 + 12 for a. -2 Solve -6 - 6 = -4*m for m. 3 Solve 9*r + 17 = 53 for
{ "pile_set_name": "DM Mathematics" }
(-3 - (-2 + -4 + -2)). 3 Evaluate 1 + 1 + 0 - 1. 1 Calculate -3 + 0 - (2 + 0). -5 What is the value of -4 + (0 - -1) + 8? 5 Evaluate -2 + -5 - (-4 - (-10 - -6)). -7 What is the value of -1 + (-5 + 1 - (-1 - -1))? -5 Calculate 8 + -4 + 1 + (-2 - -6). 9 Calculate 0 - (1 + -1) - (-7 - -5). 2 Calculate 3 - (8 + -1) - (-16 - -9). 3 What is the value of -4 + (2 - (7 - 4))? -5 What is the value of 11 - 17 - ((-3 - -2) + 1)? -6 Calculate 2 + 3 + -5 - -2. 2 What is the value of 1 - 1 - (121 - 116)? -5 What is -9 + 9 + (-13 - -9)? -4 23 - (8 + 13) - (1 + -4) 5 What is the value of (1 + 2 - 4 - -1) + -2? -2 7 - (3 - -5) - 6 -7 7 + (3 + -1 - 1) + -4 4 Calculate -6 + 3 + -6 + 8 + -2. -3 0 + 9 + 14 + -4 + -13 6 Calculate 37 + -38 - (1 + -2 + 0). 0 Evaluate -9 + 9 + 7 + -9. -2 Calculate -1 + -1 + 7 + -5 - -4. 4 Calculate (72 - 81) + -1 + 8. -2 What is the value of 1 - -10 - (-1 + 4 + 1)? 7 What is the value of 1 - (-3 + -1 + 8 + -2)? -1 What is the value of 12 - (3 + -2 + 5)? 6 What is the value of (6 - 4) + 4 + -1 + -1? 4 Calculate (-5 - (-6 + 1)) + -1 + -3. -4 Evaluate 7 + (-5 - (-4 - -11)) + 3. -2 Calculate 2 - 2 - -4 - (2 + 2). 0 What is the value of (-2 - -4) + 3 - 0? 5 -4 + (1 + 8 - -1) + -6 0 What is (-9 - -16) + (0 - -1) - 3? 5 What is 3 + (0 + -3 - (1 + -3))? 2 What is the value of -4 - -8 - (2 - (1 - 0))? 3 What is the value of -3 - (5 - (8 + -3)) - -1? -2 What is the value of (-6 - 0) + (-1 - (2 + -14))? 5 Calculate 0 + (2 - 2) - 2. -2 What is the value of 9 - 3 - (2 + 3)? 1 Evaluate -2 + 7 - (18 + (-16 - -9)). -6 What is -15 + -1 + (2 - -7)? -7 6 + -7 + 7 + -12 -6 Evaluate (5 - (4 - 5)) + -3. 3 -6 + -1 + (-40 - -52) 5 Evaluate -4 - (4 + 1 + -1 + -5). -3 Evaluate 0 + 1 + (1 - (-5 + 4)). 3 (-8 - -4) + 4 - -1 1 What is the value of -2 - ((-5 - (-7 - -2)) + 2)? -4 What is the value of -5 + 1 - (8 + -15)? 3 What is -5 + 3 + -3 + 3 + 6? 4 3 - (-1 + 4 - 4) - -1 5 What is -3 + (1 - 10) - -7? -5 Calculate 6 - -3 - (5 - 4). 8 Calculate (3 - 4 - -5 - -5) + -5. 4 Calculate 40 - 36 - (0 + 7). -3 Calculate 5 + 10 + -10 + -3. 2 What is 4 - (3 - -3 - -1)? -3 (175 - 164) + (-1 - 7) 3 What is 12 + -13 - (2 - (0 - 1))? -4 Evaluate 3 + (2 - (-1 + 2) - 1). 3 What is 0 + 5 - (14 - 4)? -5 What is -6 + (-3 - -5) + 3? -1 What is the value of -4 + 0 + (0 - 0)? -4 Evaluate 7 - (17 - (0 - -5)). -5 Calculate (-7 - -14 - 6) + 7. 8 -11 - (10 - (11 + 5)) -5 What is the value of 39 - 37 - (5 - 0)? -3 Calculate 1 - -6 - (4 + (9 - -4)). -10 What is (0 - 0) + 2 + 18 + -23? -3 (-4 - 7) + (7 - -2) -2 Calculate -6 + 6 + -2 + 6. 4 Evaluate -3 - (3 - (-7 - -8)). -5 -2 + 2 + (-1 - (2 + -3)) 0 Calculate -4 - (0 + -6) - 1. 1 Evaluate 6 - (-6 - -10) - (-1 - 1). 4 What is the value of 2 + -8 - (-3 - (-15 - -24))? 6 What is the value of -4 - -1 - (-3 + 5)? -5 Evaluate -6 + -6 + 13 - -4. 5 Evaluate -10 + (0 - (4 + -7 - 2)). -5 What is 0 + (4 - (9 + (-7 - -4)))? -2 Evaluate 3 - (3 + -2) - 4. -2 What is (-4 - (-6 - -5)) + 10? 7 Evaluate -6 + (2 - -1) + 5 - 0. 2 What is 5 + (5 + 2 + -4 - 9)? -1 What is 7 - 1 - (-1 - -2)? 5 -5 - (-8 + 3 + 2) -2 Evaluate 4 + -6 - (1 + -8). 5 Evaluate 3 - -1 - 4 - -1. 1 What is the value of (-17 - -18) + (-10 - -2) - -4? -3 What is the value of (1 - 9) + -1 - (-232 + 227)? -4 What is the value of 8 + -7 + 2 + -1 + -5? -3 Calculate (2 - 1 - 2) + (-115 - -121). 5 What is the value of -1 + -1 - (-14 + 6 - -5)? 1 3 + (-3 - (3 - 8)) + -1 4 Evaluate 1 + (1 - -1) + 2 + 0. 5 Evaluate -1 + 1 - (-9 + (1 - -5)). 3 0 + -6 - (10 + -7) -9 What is the value of 14 + -21 + (5 - 6)? -8 Evaluate -7 - -4 - (3 - 1) - -5. 0 What is the value of (3 - 5) + 16 + -10? 4 What is the value of -7 + -4 + 4 + 7? 0 What is -5 + 8 - (1 + 7)? -5 Evaluate -5 + (-4 + 2 - -4). -3 What is -6 - -10 - (1 - 1)? 4 Evaluate -9 - -12 - (-1 + 3). 1 What is the value of 3 + (14 - 9) + -3? 5 Calculate 1 - -1 - ((6 - 6) + -3). 5 5 + (-18 - (8 - 17)) -4 Calculate (8 - (1 + 2)) + -7. -2 Calculate 10 + -8 + -9 + 8. 1 Evaluate -1 - -4 - ((7 - 5) + 3). -2 What is 0 - (1 + (4 - 7) + 4)? -2 Evaluate 1 + (-9 - (3 - 9 - 1)). -1 What is the value of -5 + 3 + 5 + (-4 - -3)? 2 Evaluate 12 + -2 + -5 - (-1 + 4). 2 What is -3 - (-5 + -3 + 3)? 2 (1 - -2 - 6 - 1) + 5 1 What is -15 - -1 - (292 + -299)? -7 What is the value of -6 - (-9 - 2) - (-1 - -1)? 5 What is -3 - (-10 - (0 + (-7 - -3)))? 3 What is the value of 1 - (13 + -7 - 9)? 4 What is 7 + -11 + (-2 - -1 - 0)? -5 Evaluate 10 + 5 + 0 - 5 - 4. 6 What is the value of 3 + (11 - 6 - 8)? 0 Calculate 2 + (5 - 14 - -3) + 9. 5 -1 + 5 - (21 - 11) -6 Calculate 11 + 10 + -33 + 10. -2 Calculate (5 - 9) + 13 - 10. -1 What is the value of (-17 + 8 - -5) + 6? 2 Calculate -1 - ((3 - 11) + 2). 5 Calculate 3 + (0 - -1) - 8. -4 (-1 - 0) + 11 + -7 + 2 5 What is the value of 13 - 20 - (2 - (2 + 16))? 9 -6 - (0 + -1 - -5) -10 Evaluate 3 - -5 - (8 - (0 - -2)). 2 4 - -3 - (-17 - -18) 6 (2 - 15 - 0) + 11 -2 Calculate 3 - (1 + 0 + -1 - -4). -1 Calculate -6 - 1 - (-8 + 3). -2 Evaluate -5 + 0 - (10 + -16). 1 (-1 - -4 - 7 - -3) + 4 3 Evaluate 0 - 3 - (-9 - -1 - -11). -6 Evaluate -1 - -6 - (5 - 4). 4 What is 7 - (-8 - (-9 + -12))? -6 2 + -4 + 26 + -25 -1 Calculate 4 + -11 + 3 + (-1 - -5). 0 Evaluate (-3 - -3) + 1 + 2 - -1. 4 Calculate (-4 - -8 - 1) + 0. 3 What is the value of 4 + (-2 - 1) + -7 - -1? -5 What is the value of 1 + (-4 - 1) + 0? -4 Calculate (4 - 6) + -2 + 4. 0 Calculate (-2 - -12) + 2 + -2 + -6. 4 Evaluate (3 - (2 + 0 - 3)) + -1. 3 Calculate -3 + (5 - (6 - 2)). -2 (-4 - 0) + (9 - 0) 5 What is the value of 4 + -7 + 1 + -1? -3 Evaluate -24 - -25 - (4 + 0). -3 What is the value of -9 - -2 - (-8 + 4)? -3 Evaluate 0 - (-1 - 0 - (6 + -3)). 4 Evaluate -3 - -1 - (1 - 4). 1 What is the value of 6 + (-6 - -2) - 4? -2 What is (2 - (2 - 2)) + 3? 5 5 - 0 - (113 - 103) -5 (3 - (-1 + 16)) + 30 + -24 -6 What is the value of 5 + (-10 - 1) - -1? -5 1 + (36 + -26 - (4 - -1)) 6 -3 + (-10 - -5 - -4) -4 Calculate 1 + (-16 - -16 - (-1 - -9)). -7 -5 + -3 - (3 + -7 + -1) -3 Evaluate 4 + (-3 - -7) + -13. -5 1 - ((-6 - -4) + 0) 3 -2 - (-2 - (5 + -1)) 4 What is 2 + -3 + -3 + 6? 2 What is -1 + (2 - -2) + -3? 0 Calculate 6 - (-1 + 2 + -3). 8 What is the value of -3 - ((5 - 1) + -4)? -3 What is 1 + (2 - 4) + -1 + 7? 5 What is the value of 4 + (-11 - -2) + 0? -5 8 - (-4 + 2) - 10 0 Calculate (-2 + 2 - -1) + -3. -2 What is the value of -12 - ((-4 - -2) + -8)? -2 -1 - -6 - (9 + -12 + 5) 3 What is the value of (3 - -4 - 2) + 2 + -4? 3 What is the value of (3 - (-1 - -1)) + -2 + 6? 7 1 - 8 - (-2 - 0 - 1) -4 -6 + 10 - (-1 - 0) 5 What is the value of (4 - -1 - 1) + (4 - 3)? 5 What is -2 + -1 - (1 - (3 + -1))? -2 Evaluate (-10 - (5 - 13)) + 1. -1 Calculate 9 + -3 - (3 + (2 - 1)). 2 Evaluate -1 - (1 + (4 + 0 - -3)). -9 Evaluate (-3 - (-3 + 4)) + 1. -3 0 - (3 - (1 + 2)) 0 What is 6 + 2 + -17 + 9? 0 What is the value of 0 + -1 + (12 - 15)? -4 0 + -2 + (8 + 1 - 4) 3 7 + -8 + 12 + -4 7 What is the value of 4 - (2 - (-10 - -3))? -5 (-6 - -3) + 0 + -1 -4 What is the value of -1 + (-4 - (-6 - 3))? 4 What is the value of (-19 - -2) + (-1 - -11)? -7 What is the value of 4 - 2 - (0 - -2)? 0 What is the value of -2 + (2 - (3 - (-6 + 6)))? -3 What is -12 - -5 - (-2 - 1)? -4 Calculate 1 + (-11 - (-3 + 3 - 4)). -6 What is -15 - (19 + -29) - (-6 + 1)? 0 Calculate 12 + (6 - (8 + 6)). 4 Calculate -2 - 2 - ((-1 - 0) + 2). -5 What is the value of -11 + -22 + 25 - (-6 + 1)? -3 1 + (-6 - (-9 + -2 + 4)) 2 Evaluate 1 - (-3 + 1) - (0 - 2). 5 What is -3 + 2 + 0 + -1? -2 (-2 + 9 - 3) + -7 - -4 1 What is 8 + -3 + -7 + -4 + 0? -6 Evaluate 19 + -8 + 3 + 4 + -13. 5 (-7 + -6 - -3) + 7 -3 What is the value of -2 - (-1 + -4 - -8) - -3? -2 What is the value of -2 + 2 + -3 + 1? -2 What is the value of 3 - (-1 + -1 + 6) - -6? 5 -1 + 3 - (-2 + 1 + 3) 0 What is the value of 3 + -3 - 3 - (11 + -11)? -3 Evaluate -2 + -1 - (2 - (2 - 0)). -3 Evaluate -2 + -7 + 7 + 0. -2 Evaluate -6 - (-10 - -1) - 11. -8 What is (-99 - -94) + (-2 - -1 - 1)? -7 Evaluate -4 + (-6 - -9) - 1. -2 What is the value of (-3 - -1) + (-14 - -18)? 2 What is the value of 4 - (-5 + 5) - 10? -6 What is -3 - ((-1 - 1) + (-1 - -4))? -4 Evaluate (-4 - -1) + (5 - 7). -5 What is the value of 21 + -15 + 0 + 0 + 1? 7 What is 0 + (-5 - -4) + 2 + 3? 4 What is 14 + -11 - (2 + -1)? 2 Calculate 4 - (-2 - (4 -
{ "pile_set_name": "DM Mathematics" }
nd smallest value? (a) -1/11 (b) 9/7 (c) o b Let y = 783 - 782.3. Which is the fourth smallest value? (a) -3/2 (b) 1/5 (c) 2/11 (d) y (e) -4 b Let b = -0.06565 + -64.93435. What is the third smallest value in 19, -0.1, -3, b? -0.1 Suppose 6*q - 6 = 3*q, -5*a - 6 = -3*q. Suppose a*m = 3*m. Suppose 0 = -m*x + 2*x. What is the third biggest value in 3/5, x, 4? x Let i = -2.175 - -0.175. Let w = -4285/17172 - 2/4293. What is the second smallest value in w, i, -36? i Suppose h - 4*h + 12 = 0. Let t be (-9)/(-15) + h/(-10). Let x be (-10)/30*8/(-16)*-2. Which is the second biggest value? (a) x (b) -1 (c) t a Let w = -253 + 211. Let x = -43 - w. Which is the second biggest value? (a) 40 (b) x (c) 1 c Let d = 34910 + -99842601/2860. What is the second biggest value in -2/7, -3/4, d, 5? d Let h = -5826 - -5824. What is the second biggest value in 3, 113/5, h? 3 Let g = 1.0855 - -2.9145. Let q = -8 + 8.56. Let y = 0.04 + q. Which is the second biggest value? (a) -5 (b) y (c) g b Let k = -0.55 - -0.4. Let l = 267.85 + -268. Let o = k - l. What is the second smallest value in -0.5, o, -8? -0.5 Suppose -4*t + 2*t - 8 = 0. Let w = -4222 - -4219. Let j = 3.93 - 4. Which is the third biggest value? (a) 4 (b) j (c) w (d) t c Let y = -63 + -433. Let q = y - -507. Let v = -17 + 37/2. Which is the second smallest value? (a) q (b) 0.4 (c) v c Let y = 0.02 - 2.52. Let k = 385.83 + -381.83. Which is the third smallest value? (a) k (b) -0.3 (c) y (d) -3 b Let m = 5477 + -5718. Which is the third biggest value? (a) -0.03 (b) -1/9 (c) m c Let m = 0.0547 + -415.0547. Let v = 419 + m. Let k = 3 - 1. What is the smallest value in -2, v, k? -2 Let m = -429/92 + 19/4. Let n = 90841/453980 + -9/90796. What is the fourth biggest value in m, n, -0.5, 2/13? -0.5 Let k = 2224.5 + -2224. What is the second biggest value in k, -2/5, 11, -6? k Let k be (-32)/(-5) - (-2)/(-5). Let p = -0.745 + -552.255. Let h = p - -552.7. Which is the third biggest value? (a) k (b) h (c) 3 b Let v = -3419.7 - -3916. Let t = v + -498. Which is the smallest value? (a) -1 (b) t (c) 0.5 b Let w(v) = 2*v**3 + 12*v**2 + 2*v - 37. Let y be w(-5). Let n = -2 - 1. Let j = n - -2.5. Which is the biggest value? (a) y (b) j (c) 0.3 a Let a be ((-2)/5)/(150/1250). Let v = a + 2. What is the fourth smallest value in -4, v, -0.2, -1/3? -0.2 Let m = 11 - 12. Let s be (-3 - (-13)/(-4))*(-10)/(-25). Suppose -5*i + 1 = 11. What is the third smallest value in s, i, m? m Let l = 58 + -28. Let k be -4 + (4 - (-6)/21). Let q = -19/22 - -4/11. What is the second smallest value in q, l, k? k Let j be (2/508)/(2/(-4)). Let r = 377/508 - j. Let l = -4153/48024 + -1/2088. Which is the second smallest value? (a) l (b) -1 (c) r a Suppose 20*k + 26 + 54 = 0. Suppose -4*g + 5 = 3*z, -3*z - 2*g - 3 - 2 = 0. What is the second smallest value in k, -1/7, 46, z? k Suppose 4*a - 2*b + 6*b = -36, a + 4*b = -18. Let j = 428351 + -428350.9. What is the biggest value in j, 2/5, a, -2/11? 2/5 Let o = -2166 - -2168. Which is the third biggest value? (a) 0.02 (b) o (c) 294 a Let r be 2*((-5)/(-30) + 0). Let i = 8.4 + -4. Let q = 0.6 + i. Which is the third smallest value? (a) 4 (b) -0.07 (c) q (d) r a Let u = -0.952 - -87.94. Let f = -0.012 - u. Let g = f + 87. Which is the third smallest value? (a) 1 (b) g (c) 1/5 a Let o = 11 - 11. Suppose o = k + k - 8. Let g be (-2)/k*16/(-24). Which is the third biggest value? (a) g (b) -5 (c) 1/2 b Let s = -300/343 + 5786/5831. Let v be (-3)/(-6)*8/(-6). What is the third smallest value in 0.3, s, v? 0.3 Let s = -3 - -2.98. Let p = -43.8 - -40.8. What is the second smallest value in s, 0.3, p, 5? s Suppose -l - 3 = 2. Let r be (-10)/2 - (-1 - 9 - (-1603)/458). Which is the second biggest value? (a) -0.2 (b) -1 (c) l (d) r a Let h = 72.3 + -46.27. Let q = h + -26. Which is the second smallest value? (a) -0.5 (b) q (c) 2/5 b Let o be 5/(110/4) - (-60)/154. Let p = 1403/8 - 175. What is the fourth smallest value in -0.5, -3/4, p, o? o Let l = -11.2 + 0.2. Let d = 4 - l. Let j = -10073.3 + 10073. Which is the second smallest value? (a) j (b) -0.2 (c) d b Let c = -5.1 + 153.1. Let k = -152 + c. What is the biggest value in 4, 5, -0.06, k? 5 Let x = 15612 + -15582.7. Which is the fourth biggest value? (a) -1 (b) -3/5 (c) -3 (d) x c Let k = 47 + -144. Let n = k + 88.4. Let q = n + 5.2. What is the smallest value in q, -0.5, -5? -5 Suppose -4 = n + 34*s - 35*s, -5*s - 12 = 3*n. Let f = -135 - -130. What is the second smallest value in 0.5, n, f, -0.4? n Suppose -2*t + 24 = -5*d, -4*d + 3 = 4*t + 39. What is the second biggest value in t, 37, -0.03? -0.03 Let c = -4 - -4.12. Let i = 39311 - 39311.1. What is the second biggest value in c, -1, i? i Let n = 15.376 + -15.6. Let p = 1.776 - n. Which is the second smallest value? (a) -0.4 (b) 1/4 (c) p b Suppose 20*w = 112*w + 368. What is the third biggest value in w, 0.6, -0.04, 1? -0.04 Let l = -0.461 + 0.5. Let w = 0.079 - l. Let i = -60 - -59.7. Which is the biggest value? (a) i (b) -5 (c) -2 (d) w d Let i = 120 + -69. Let j = i + -42. Let n = 6 - j. Which is the smallest value? (a) n (b) -1/9 (c) -2/5 a Suppose 2*f + 4*f + 72 = 0. Let k be 4/3*f/96. Which is the smallest value? (a) 0.03 (b) -0.5 (c) 4 (d) k b Let v = -4.099 + -2.901. What is the third biggest value in v, -2, 16? v Let l be (-2)/22 + 3738*10/385. What is the second biggest value in -2/21, l, -9? -2/21 Let p = -20471.9 + 20472. Let u = -12 - -17. Which is the second smallest value? (a) p (b) 1 (c) u b Let v(f) = -6 - 34 - 33 - 11*f + 4 + 3. Let l be v(-5). Let t = -0.4 + -2.6. Which is the smallest value? (a) l (b) -1 (c) -0.1 (d) t a Let k = 438.6 + -439. What is the second smallest value in 2/1395, k, 0.1? 2/1395 Let u = -22.449 + 22. Let l = -0.349 - u. Which is the smallest value? (a) l (b) 29 (c) 2/7 a Let m = 1.1 + -2.1. What is the biggest value in -2, -1.2, m, -4, 0.04? 0.04 Let i(d) = 4*d + 18*d - 32*d - d**2 - 8. Let m be i(-8). What is the second biggest value in m, -1/7, 2? 2 Let l be (-8)/10 + 7 + 144/5. What is the second smallest value in l, 1/8, 0.3? 0.3 Suppose 3*z = -k + 255, -4*z - 4*k + 9*k = -321. Let b = z + 14. Let y = 195/2 - b. What is the biggest value in -0.3, y, 4? 4 Let j = 259.31 - 258.81. Let v = -0.3 - -0.7. Which is the second smallest value? (a) -16 (b) j (c) -0.2 (d) v c Let k(m) = -m**2 + 19*m + 24. Let t be k(20). Let j be (584/(-2190))/(t/9*-1). What is the second biggest value in -0.1, 5, 2, j? 2 Let h = -0.3 - -3.3. Let k = -1060 + 1056. Which is the third biggest value? (a) h (b) k (c) -197 c Let s = 127/170 - 313/510. Let z = 289/190 + -2/95. Which is the smallest value? (a) z (b) s (c) 0 c Let t = 2376 - 2397. What is the third biggest value in t, -0.4, 2/5? t Let i = -96491/315 + -892/45. Let q = i - -326. What is the biggest value in q, -2/7, 1, -6? 1 Let d = 6.82 + -15.82. Which is the second smallest value? (a) 5 (b) -0.3 (c) d b Let p = 10.16 + -7.4. Let w = -3.16 + p. Let h = 0.5 - 1. Which is the third smallest value? (a) 2/13 (b) w (c) 0.09 (d) h c Let y = -1962 - -1961. What is the smallest value in 1/2, -3, -0.2, y? -3 Let o = -738.9 + 738.9. What is the third smallest value in 14.2, o, -0.3? 14.2 Let j = 897 - 585. Which is the third biggest value? (a) -0.2 (b) 0 (c) j (d) -0.1 d Let t = -0.198 + -0.912. Let v = t + 0.91. What is the third smallest value in 0, v, -0.1, 0.1? 0 Let z = -103.908 + 108. Let w = 4 - z. Let g = w - -0.012. Which is the second biggest value? (a) g (b) -2/9 (c) 1/3 a Let z = 108 + -84. Let v be ((-16)/z)/(-1)*6. Which is the smallest value? (a) 0.5 (b) v (c) 0 c Let q = 128/17 + -5572/731. Let m = q + 137/86. Let f = 0.3039 + -0.9039. Which is the second biggest value? (a) -1 (b) m (c) f (d) -3 c Let p = -81 + 80.65. Let t = p + 0.05. Which is the smallest value? (a) t (b) 0 (c) -2 (d) 5 c Let p = -99 - -99.057. Let g = 8.6 + -8.843. Let u = p - g. Which is the third smallest value? (a) -2 (b) u (c) -4 b Let w be ((-360)/(-140))/(-9) - 10/14. Which is the biggest value? (a) -151 (b) -0.1 (c) w b Let o = 35855 - 466117/13. Which is the smallest value? (a) 1/5 (b) 0 (c) -0.022 (
{ "pile_set_name": "DM Mathematics" }
*2 + 39*h + 72. Let z be s(-2). Let v = z + -45. Which is the nearest to 2/3? (a) 2 (b) v (c) -0.041 c Let j = -8455 - -42277/5. Which is the closest to j? (a) 1 (b) -5/6 (c) -2 (d) 5 a Let x = -17.9 + 3.9. Let n = -16.1 - x. Let l = 1.1 + n. What is the closest to l in -2/5, -1/4, 0.1? -2/5 Suppose 5*q = 15, 3*d + 3*q - 6*q = 0. Let m be -1 + ((-14)/6 - -2) - -2. Let n = 0.85 - 0.8. What is the nearest to 2/9 in d, n, m? n Let t(o) = 16*o - 3. Let h be t(4). Let g(l) = -45*l - 150. Let n be g(-2). Let f = h + n. Which is the closest to f? (a) -3 (b) 0.2 (c) -1/9 b Let u = -183 + -258. Let n = u + 445. What is the nearest to -1 in n, 0.5, 0.2? 0.2 Let f be ((-24)/(-10))/2 + -1. Let v = 3.154 + 0.846. Let h = 2 + -5. What is the closest to v in f, h, 1/6? f Let c = -11760 + 11760.1. Let u = 0.58 - 0.08. What is the closest to -3/16 in c, 1/9, u? c Let a = -1787 - -1786.96. What is the closest to -0.1 in 5, -2/17, 0.5, a? -2/17 Let u be 13 + ((-9)/1 - 0). Which is the closest to -0.1? (a) 11 (b) u (c) 3 c Let z = -6.432 - -8.432. Which is the nearest to -0.025? (a) 3 (b) z (c) 4 (d) -0.4 d Let v = 0 - 17. Let u = v - -17. Let g = -51 + 50.97. What is the closest to u in -0.4, 2, g? g Let k = 7932 - 7927. Let f = 9.3 + 1.7. What is the closest to f in 2, k, -0.2? k Let c = 204 - 194. Suppose w + 4*w + c = 0. What is the closest to 0.1 in 2, 1, w? 1 Let l = -266.2 + 272. Let f = 5.6 - l. Which is the closest to -3? (a) 1 (b) f (c) -2 c Let t = 1.7 - 2.2. Let m = 7 - 7.3. Let l = 69 - 72. Which is the nearest to l? (a) m (b) 1/3 (c) t c Let v = 0.23732 - 1.23732. Which is the closest to -1? (a) 1.4 (b) 4 (c) v (d) 6/5 c Suppose -9*y + 6*y + 2502 = 0. Suppose -3*x = 831 - y. What is the nearest to -0.2 in -7/4, x, 2? x Let r = -3.36 + 1.36. Let l be 3/(-2)*((-6)/9 - -1). Which is the closest to r? (a) l (b) 0.5 (c) 4 a Suppose -15*g + 3*g + 9337 - 9265 = 0. Let i = 13 + -5. Which is the nearest to g? (a) i (b) 0.3 (c) 3 a Let v = -3.05 - -3.15. Let p = 16 - 15.5. What is the nearest to v in p, -5, 3/5? p Let f = 0.00639 - -1.99361. Which is the closest to 45? (a) f (b) 4 (c) -2/17 b Let s = 311.6 - 312. Let x = 3.886 + 1.114. What is the closest to 1/3 in s, -3/14, 1, x? -3/14 Let w = 0.03952 + 0.96048. Which is the closest to -0.1? (a) w (b) 1/9 (c) 193 b Suppose p = 144*k - 148*k - 26, -14 = 3*p - 4*k. Which is the nearest to -1/16? (a) 2 (b) p (c) -4 a Let u be (-4)/(-2)*435/(-30). Let z be -5*(-23 - u)/((-290)/(-2)). Which is the closest to 1? (a) 5 (b) z (c) -4/7 b Let i = -87.9 + 88. Let m be 12/(-2) + (3 - (-28)/8). Which is the closest to i? (a) 1 (b) 5 (c) m c Let m = 48 + -93. Let s = m + 91/2. Let i = 213/28 - 27/4. Which is the closest to 2? (a) i (b) s (c) 1/5 a Let k = 11 - -5. Let x = -15 + k. Let j = 60 + -60. What is the closest to 0.1 in x, 2, j? j Let u = -2681.1 + 2682. Which is the nearest to -0.7? (a) 2/9 (b) 0.5 (c) 1 (d) u a Let m = -45/4 - -21/2. Let h(j) be the first derivative of 3*j**2 - j - 31. Let k be h(0). What is the closest to m in 4, k, 5? k Let w = -2/57 + 61/114. Let t be ((-23)/(-4) - 1) + (-2)/(-8). Let k = 1075 - 1075.1. What is the closest to k in -2, t, w? w Let l be 3 + (-1 - -2 - 2). Let w = -0.07 + 0.57. Let n = 412.1 + -412. What is the closest to 0 in n, l, w? n Let f = -0.6 - -0.2. Let m = 7095.9 - 7096. Which is the nearest to 24? (a) -5 (b) f (c) m c Let q = 0.37 - 0.43. Let l(f) = f**3 + 16*f**2 + f + 15. Let h be l(-16). Suppose 0 = 3*o + o + 4. What is the closest to o in h, -1/3, q? h Let z = -8113 - -8112.5. Let q be (-1 - 1)/((-2)/(-8)). Which is the closest to q? (a) z (b) 2 (c) -2/11 a Let s = -4.6648 + -0.3352. Which is the closest to 1/4? (a) -0.4 (b) -0.8 (c) s (d) 0.04 d Let t = 0.08657 + -0.07257. What is the closest to -2/7 in t, -0.03, -5? -0.03 Let o = -5 - -10. Let h = 566.4 - 566. Which is the closest to 2/11? (a) h (b) o (c) 4 a Let l(z) = -2*z**3 - 13*z**2 - 110*z - 819. Let h be l(-7). Let x = 1 - 0.6. Which is the closest to 1? (a) h (b) x (c) 1/4 b Let x = -0.46 - 1.54. Let v = -1 - 7.2. Let q = v + 3.2. Which is the nearest to 5? (a) 5 (b) q (c) x a Let q = 3025 - 3053. What is the closest to 9 in 1/3, -5, q, 0.4? 0.4 Let q = -1 + 0.9. Let l = 2213/252 + -1075/126. Which is the closest to q? (a) -0.3 (b) -2/23 (c) l (d) 2/5 b Let i be (-8)/(-36) + 1/9*61. Suppose -i*q = 39 - 4. Let j = 54 - 215/4. What is the nearest to q in j, -3, -1? -3 Let g = -0.0565 + 0.1565. Which is the closest to 23/7? (a) 2/5 (b) g (c) 4 c Let l = -7604.9 - -7605. What is the closest to 0.1 in -0.5, -184, 2/9, l? l Let o = 10707 + -10510. What is the closest to -2 in o, -0.04, 0.1? -0.04 Let n(a) = -a**3 + 28*a**2 - 29*a + 59. Let r(m) = -m**3 - 31*m**2 - m - 4. Let p be r(-31). Let x be n(p). What is the closest to 1 in -1/8, x, -0.4? -1/8 Let b = -7291 - -7317. What is the nearest to 1 in 2, b, -1/2, -1/4? 2 Let x = -1 + -1. Let i = -434072 + 434072. Which is the nearest to 1.2? (a) i (b) -0.2 (c) x a Let y be (-203)/(-58) + (1/(-2))/1. Suppose -7 = -30*h + 25*h + y*b, -5*b = -5. What is the closest to h in 0, 0.1, 0.5, 0.4? 0.5 Let v = -40598 - -40609. Which is the nearest to 0? (a) 1/8 (b) 0.4 (c) v (d) 5/11 a Suppose -5*q + 110 = 5*x, 4*x - 703 + 620 = -3*q. Which is the nearest to x? (a) -4 (b) -3 (c) -1 c Let h = -4.482 + 1.482. What is the nearest to 0.1 in -98, 2, h, -1/2? -1/2 Let n = -0.88 + -2.39. Let v = n + 3.37. Let c be ((-4)/(-2))/(-2) - -3. What is the closest to -2 in 0.3, v, c? v Let z = -54.8 - -1047.8. Let a = 986 - z. Let x = 0 - 1. What is the nearest to a in x, 4, -4/3? -4/3 Let w be -3*(6 - (-504)/(-81)). What is the nearest to w in -8, 6/11, 4, -3? 6/11 Suppose -8 = -3*n + 7. Let s = 3396 + -3395.1. Which is the nearest to -0.1? (a) s (b) -0.3 (c) n b Let r = 9673 - 9671. Let n = 0.1 + -1.1. Let f = 0.8 + n. What is the closest to f in 3/7, -3, r? 3/7 Let l = -129/512 + 1/512. Which is the closest to l? (a) 1.7 (b) -12 (c) 0.17 c Let u(x) = -59*x + 1. Suppose -3*z - 7 = 4*z. Let j be u(z). Let y be ((-1)/(-3))/(10/j). Which is the closest to y? (a) -4 (b) 5 (c) -1/7 c Let k = 21275/7 - 3039. Which is the closest to 11? (a) k (b) 3 (c) 5 c Let d(y) = y**2 + 7*y. Let v be d(-7). Let b = -0.07971 + 0.57971. What is the closest to v in b, 2, 0.07? 0.07 Suppose -6*f = 2*f - 456. Suppose s = 20*s - f. What is the nearest to 0.1 in -0.15, s, -5? -0.15 Let h = -129.096 - -0.096. Let t = -134 - h. Which is the closest to -2? (a) -2 (b) 1/3 (c) t a Let q = 0.65 - 1.05. Let s = -0.41 - -3.31. Let t = s - 3.1. What is the nearest to t in -4/9, q, -5? q Let k = -277.7 - -278.2. Let j = 3 - -1. Which is the closest to -8? (a) j (b) k (c) -0.2 c Let i be (1/(-3))/((-1)/9). Let o = 1102.6 - 1103. Let d = 162 + -1132/7. Which is the closest to 2? (a) i (b) d (c) o a Let t = -2 - -9/4. Let i = 54556/3 - 18186. Which is the nearest to -1? (a) 2/5 (b) t (c) i c Let w be -9 + ((-60)/24)/((-65)/247). Which is the closest to -22? (a) -0.09 (b) -2/5 (c) w b Let f = -38.44 - -38. Let i = 0.14 + f. What is the nearest to 13 in i, 3, 0.5? 3 Suppose -4*y - 25*c + 29*c - 4 = 0, 4*c - 20 = 0. What is the nearest to 0 in y, -9/5, -12? -9/5 Let h be (-40)/(-16)*(-64)/30 + (-13 - -18). Let y = 5 - 10. Let p be (1/(-18))/((-1)/4). Which is the nearest to p? (a) y (b) h (c) 0.3 c Let l = 2006 - 2010. Which is the closest to -1? (a) -2/5 (b) 3/7 (c) -0.022 (d) l a Let z be (5 - 6)*(-1)/2 - (8 + -8). Which is the closest to 2/3? (a) 5 (b) -3 (c) z (d) -0.5 c Let j = -8/9737 - 5556/9737. Let y = 0.2 + 0. What is the closest to y in -9, j, 3/4, -2/7? -2/7 Let m(v) = 5*v + 22. Let d be m(-5). Let i be (d/4)/(((-140)/16)/7). Which is the nearest to -2? (a) i (b) -27 (c) -4 c Let l be 28 + (-1660)/60 - 1/((-3)/(-2)). Which is the closest to 1/4? (a) 2/7 (b) 2 (c) -8 (d) l a Let x = 0.4 - 3.4. Let r be -28 + 7848/168 - 19. What is the closest to -1/4 in -2, r, x? r Suppose -4*x - 2*u - 2 = -0*x, -4*x = -3*u - 13. Let c = -24 + 22. What is the closest to x in 21, c, 1? 1 Let z = 682 - -50. Let j = 746 - z. What is the closest to -2/7 in j, 0.4, 5, -3? 0.4 Let r = 3708/461 + -1529
{ "pile_set_name": "DM Mathematics" }
2 in -2, h, 3/7? -2 Let o = 16 + -20. Which is the closest to -1? (a) -1/5 (b) -1 (c) o b Let o = -3.13 - -0.13. Which is the closest to 1/2? (a) -2 (b) o (c) -2/11 c Let u = 3 - 2.5. Let y be 2/(-4)*(-4 + (5 - 0)). Let n = 0.2 - -0.1. Which is the nearest to y? (a) -1/4 (b) n (c) u a Let s = 4 - 6. Suppose 26 = -3*o - 5*j - 6, -3*j = -o + 8. Which is the nearest to 0.3? (a) o (b) s (c) 0 c Let l = 0.23 + -0.03. Let g = l - 0.4. Suppose 3*o + 7 - 1 = 0. Which is the nearest to 1? (a) g (b) 0 (c) o b Suppose 3 = -25*i + 22*i. What is the nearest to -1 in -0.1, i, -4? i Let n = -13 + 9. Which is the nearest to -1? (a) 5 (b) n (c) -1 c Let z be (-6)/21*28*4/48. Let m = -0.2 + 0.1. Which is the nearest to z? (a) 2 (b) 4 (c) m c Suppose 2*m + 3 = 35. Suppose -3*h = 2*j + 5 - 4, -5*j - 3*h = m. What is the closest to -1 in -2/3, 4/9, j? -2/3 Let j = -1 - -1.02. Let g = -0.38 - j. What is the nearest to 0 in -0.3, 1, g? -0.3 Let h be (-5867)/((-3)/(-3 - 0)). Let o = 164293/28 + h. Let d = -9/14 - o. What is the closest to 0.1 in d, 0, -2? 0 Suppose -5*p = -t + 200, -4*p - 189 + 8 = -5*t. Let k be 2 - 0 - p/(-15). Let s = -38/3 - -13. Which is the nearest to s? (a) -5 (b) k (c) 4 b Let w be 2/((8 - -1)*1). Which is the nearest to 1? (a) 5 (b) w (c) -0.1 b Suppose 4*r - 20 = -2*t, 0 = 4*t + 4*r - 7 - 13. What is the closest to -2 in -0.1, 1/6, t? -0.1 Let o = -0.12 - -0.19. Let x = -4.93 - o. Let h = -6 - x. Which is the closest to h? (a) 0.4 (b) 0.1 (c) -2 c Let r = -3.05 - -0.05. Let g be 24/(-4)*(-1)/(-3). Let p = 0.03 + 1.97. What is the closest to g in r, p, 5? r Let u = -1 + -4. Which is the nearest to -0.2? (a) u (b) 5 (c) -2/7 c Let d = 8 + -17/2. Let p = 133 + -928/7. Let j = p + 0. Which is the closest to -2/5? (a) -1 (b) d (c) j b Let j(p) = 3*p**3 + p**2. Let w be j(-1). Let q = -6 - -5.9. What is the closest to q in 0.5, 4, w? 0.5 Let w be 15/(-3)*8/90. What is the nearest to 0.1 in 2, w, 0.2? 0.2 Let q be ((-2 - 1) + 3)/(-1). Let d = -0.7 + 5.7. What is the nearest to -1 in -4, q, d? q Let n = 0.03 + 0.27. Let t = n + 6.7. Let l = t - 8. Which is the nearest to -0.2? (a) l (b) -3 (c) 0.4 c Let d = 5 + 9. Let v = d - 19. Which is the nearest to -1? (a) v (b) -2/7 (c) -2/3 c Suppose 4*v = 13 + 7. Let f = 435 - 434.8. Which is the nearest to f? (a) -0.3 (b) 2/9 (c) v b Let x be ((-221)/42)/(-13) + (-24)/42. Which is the closest to x? (a) 1 (b) -3/2 (c) 2 a Let a be ((-7)/2 - -1) + 2. Suppose 20 = 18*s - 14*s. What is the closest to -1 in s, -1/4, a? a Suppose -5*t = -5*c - 9 - 1, 0 = 3*c + 9. Let k = 0 + 0.5. What is the closest to -1 in -4/7, k, t? t Let t = -0.01 - 2.99. Let i = 14 - 9. Suppose 3*n + 7 = -5*d, d - i*d - 8 = 3*n. What is the closest to -0.1 in d, t, 3? d Let w = -18 - -18.11. Let m = 0.31 - w. Which is the nearest to 0? (a) 0 (b) m (c) -2 a Let k = 1.2 - 1. Let f = -0.6 - -1.2. Let t = f - 0.2. Which is the nearest to 1? (a) t (b) k (c) -0.4 a Let s = -4 - -1. Let m be (-6)/(-8)*30/(-45). Which is the closest to 1? (a) s (b) m (c) 0 c Let o be (-14)/10 + (2 - 1). Let b = 5.96 + 0.04. Let a = b - 2. What is the closest to o in a, -3, 3? -3 Let i = 17 + -17.13. Let w = i + 0.13. Which is the nearest to -0.2? (a) 5 (b) w (c) 2 b Let q(z) = -2*z**2 + 3*z. Let f be q(2). Let i = -1 - f. Let v = -0.5 + 0.2. Which is the closest to 0? (a) v (b) -2 (c) i a Let d = 24.2 + -24. Let o = 8 + -4. Which is the closest to -1? (a) o (b) -2 (c) d b Let s = -120 + 125. Suppose -w + 3*w = 2. Let m be w*1/((-3)/2). Which is the closest to -0.1? (a) m (b) 4 (c) s a Let u be (-86)/18 - -1 - -4. What is the nearest to u in 5, 3/7, 0.4? 0.4 Let s = -731/12 - -61. Let p = -2 - -1. Let q = 13 + -14. Which is the nearest to q? (a) -0.4 (b) s (c) p c Let h = 6 + -1. Let p = 1 + 2. Let m = p + -3.1. What is the closest to m in -2, h, -0.3? -0.3 Let v be -1 + 1 + -1 + 4. Suppose j - 3 = -2*j. Suppose -5*q + 4 = -3*p + j, -5*p = -4*q + 5. What is the nearest to q in v, 2, 2/9? 2/9 Let b = -328775/972 - -1353/4. Let d = 463/5589 + b. What is the nearest to 1 in 4, 2, d? d Let m be 8/102*6/(-4). Suppose -5*o = 5*i + 25, 10 = -4*o - 3*i - 6. Let h be ((-1)/(1 - 2))/o. What is the nearest to h in -1, m, -4? -1 Let q = -1/5 - -9/20. Let f(d) = d**2 + 8*d - 5. Let k be f(-8). Let r = 3 + k. What is the nearest to r in q, 5, -2? -2 Suppose -552 = -2*l + g, -5*l = -0*g + 5*g - 1365. Let s = -3023/11 + l. What is the nearest to -2 in s, -1/2, 2/7? -1/2 Let z = -0.07 - -0.27. Let j = z - 0. Which is the closest to -2? (a) 3/2 (b) j (c) 2/7 b Let q be 2/(-24) + 1/3. Let z = -15 + 14.8. Which is the nearest to q? (a) -0.5 (b) z (c) 2/11 c Let r = -29/3 - -107/12. What is the nearest to -3 in 3, r, 2? r Suppose 0*w + 20 = w. Suppose 2*s + 5*p = -0*p - w, 2 = -2*s + 4*p. Let f = 9 + -11. Which is the nearest to f? (a) 5 (b) 0.4 (c) s b Let s be 478/(-16) - (-1)/(-4). Let d = s - -1637/40. Let m = d + -172/15. What is the nearest to m in 5, -3, -0.2? -0.2 Let j = -4 + 1. Let o = -0.3 + 0.2. What is the closest to 0.1 in 1, o, j? o Let z = -2 - -13. Let l = z - 8. What is the nearest to 0.1 in -0.5, -5, l? -0.5 Let s be 1/2 + 19/(-30). Let m = 2 - 2.4. Let w = -21 - -21. What is the nearest to -2/9 in s, m, w? s Let p = 2/37 + 27/185. Let f = -241/5 + 48. What is the nearest to -0.1 in -3, f, p? f Let l = 1.88 - -0.12. Which is the closest to -1? (a) 3/4 (b) 0.02 (c) l b Let k be (9/5)/((-27)/(-90)). Let o be k/(-20)*6/9. Let n be 1/((-16)/2 - -1). Which is the nearest to 1? (a) o (b) n (c) -3/2 b Let h = 210 - 1888/9. Let g = 0.4 + -1.4. Which is the nearest to -6? (a) g (b) h (c) 3/5 a Let u be (0 + 1 - -1)*8/(-56). Which is the nearest to 4? (a) -0.4 (b) 2/9 (c) u b Let o = 13 - 17. Which is the nearest to -2/3? (a) o (b) 6/5 (c) -1/5 c Let t = 7 - 6.91. Let r = t - 0.19. Suppose 0 = 5*u + 20. Which is the closest to -2/3? (a) r (b) u (c) -0.4 c Let i = -1.71 - 0.29. Let z = 0.3 - 0.2. Which is the nearest to z? (a) i (b) 3 (c) 0.1 c Let s = 2.8 - 0.8. What is the closest to s in 1/4, 0.2, 4? 1/4 Let y = -29/4 - -27/4. What is the closest to -0.3 in 3, y, 1/12? y Let a = 0.11 - 5.11. Let n = -5.4 - a. Let r = -4.93 - 0.07. What is the nearest to 0.1 in r, n, -1/2? n Let i = 135169/50 + -2703. Let c = i + 3/25. What is the nearest to 2 in -1, c, -2/11? c Let c = -4.1 + -0.9. Let i = -127/245 + -4/49. What is the closest to 2/7 in c, -0.1, i? -0.1 Let h = -36 + 35. Let j = 8 - 6. Which is the closest to 0.1? (a) j (b) h (c) 0.1 c Let z be (-4)/6 + 529/690. Which is the closest to 2/9? (a) 1/2 (b) -3 (c) z c Let z = 1/24 - -5/8. Let u be ((-2)/6)/(10/(-18)). Which is the nearest to 0.1? (a) z (b) -5 (c) u c Let o = -89 + 91. Suppose -j = -3*h + j + 23, 2*h + 2*j - 2 = 0. Which is the nearest to 2? (a) 3 (b) o (c) h b Let w = -6.52 - 1.58. Let s = w - -8. Which is the nearest to s? (a) 1 (b) 0 (c) -3 b Let f = 5 + -5.2. Let i = -1.2 + 1.6. Which is the closest to f? (a) i (b) -4 (c) 4 a Let n = -35/57 + -1/19. Let s = 190 - 189.7. Which is the closest to -0.1? (a) 2/5 (b) n (c) s c Let l = 0.08 - -0.22. Let d = 196/3 + -66. Let x = 19 + -19.4. Which is the nearest to d? (a) -0.2 (b) x (c) l b Let l = 86.1 - 86. What is the nearest to l in 2, -0.02, 5? -0.02 Let n = -0.1 + -0.4. Let r = -1.383 - -0.383. What is the nearest to r in -0.6, n, -0.4? -0.6 Let s = 0.08 - -0.32. What is the closest to 1 in 2/11, s, 0? s Let z = 46/11 + -4. Let k = 6 - 10. Suppose 0 = x + x + 3*o + 6, -4*x - 2*o = 4. What is the closest to x in -3, z, k? z Let r = -4 + 3.9. Let t = -8 - -19. Let j = 14 - t. Which is the nearest to r? (a) j (b) 0 (c) 1/7 b Suppose g = 1 - 11. Let u be -2*((-12)/g - 1). Let r = 3 + -5. What is the closest to u in r, 5, 1? 1 Let n(g) = 6 + 5 + 2*g - 4 - 1. Let f be n(-5). Let u be 1 + -1 + (-4)/(-6). Which is the closest to 0.1? (a) f (b) -2/3 (c) u c Let r = -20 + 16. Which is the nearest to -3/5? (a) 0.1 (b) r (c) 0.4 a Suppose -2*w + w = 0. Let j = -68 + 139/2. Which is the nearest to w? (a) 0.5 (b) j (c) 5/4 a Let r = 2 - 3. Let o be 12/(-1305)*(-1)/4. Let q = 1298/3045 + o. Which is the closest to r? (a) -3 (b) -0.4 (
{ "pile_set_name": "DM Mathematics" }
rounded to 3 dps? 0.191 Round -875094114.3 to the nearest 1000000. -875000000 What is 0.00001895187 rounded to 6 decimal places? 0.000019 Round -525062940 to the nearest one million. -525000000 What is 0.000079127578 rounded to 7 dps? 0.0000791 Round 418946286 to the nearest 100000. 418900000 Round 598896.25 to the nearest 100. 598900 Round 14227.16092 to the nearest 10. 14230 What is 18.0394467 rounded to one decimal place? 18 Round -0.00000183446583 to six decimal places. -0.000002 What is 0.1528758356 rounded to 2 decimal places? 0.15 Round 0.0001066154 to 6 dps. 0.000107 Round 0.090586559 to 3 decimal places. 0.091 Round 0.009795365288 to five decimal places. 0.0098 What is 17568.36211 rounded to the nearest one hundred? 17600 Round -3739.18629 to the nearest ten. -3740 Round -31.5408283 to 2 dps. -31.54 What is -0.0000029135171 rounded to 6 decimal places? -0.000003 What is -32.1620086 rounded to 2 decimal places? -32.16 Round -0.0647057946 to 3 decimal places. -0.065 What is -0.00002881647899 rounded to six decimal places? -0.000029 Round -376907.244 to the nearest one hundred thousand. -400000 What is 3871.542 rounded to the nearest integer? 3872 What is 167.37808 rounded to the nearest one hundred? 200 What is 9694.72556 rounded to the nearest integer? 9695 Round -29.50997108 to three dps. -29.51 What is 0.0047452356 rounded to five decimal places? 0.00475 Round -0.00008050219 to 5 decimal places. -0.00008 Round -12416224 to the nearest 10000. -12420000 Round 45.5085925 to one dp. 45.5 What is 0.00022165086 rounded to 7 dps? 0.0002217 Round 0.00074303523 to six dps. 0.000743 What is -58484407.8 rounded to the nearest one hundred thousand? -58500000 What is 0.000218192108 rounded to 5 decimal places? 0.00022 Round -0.759669422 to 2 dps. -0.76 What is 0.0110176397 rounded to three decimal places? 0.011 What is -315987.874 rounded to the nearest one thousand? -316000 Round 16034.10073 to the nearest ten. 16030 What is -165.652138 rounded to the nearest ten? -170 What is 0.747455982 rounded to 5 dps? 0.74746 Round -21.34341298 to 3 decimal places. -21.343 Round -528.905463 to the nearest one hundred. -500 What is 26.18151374 rounded to zero dps? 26 What is -1.19473483 rounded to 1 decimal place? -1.2 What is 634605.946 rounded to the nearest one hundred thousand? 600000 What is -63.48635337 rounded to the nearest integer? -63 What is 0.013002365741 rounded to four dps? 0.013 Round -4.4133445 to 1 dp. -4.4 Round -1230.8824 to 1 decimal place. -1230.9 What is -4056.12666 rounded to the nearest 10? -4060 Round 70.72689665 to the nearest ten. 70 What is -1899885.396 rounded to the nearest one hundred? -1899900 Round 4291.99201 to the nearest 1000. 4000 What is 17774.5095 rounded to the nearest 1000? 18000 What is -37803081 rounded to the nearest one hundred thousand? -37800000 Round -1106926160 to the nearest one million. -1107000000 What is 0.002201784561 rounded to seven dps? 0.0022018 Round 2638.2341 to the nearest ten. 2640 Round -5478.500134 to the nearest one hundred. -5500 Round -0.00007798961206 to seven dps. -0.000078 Round 0.0000892756 to five decimal places. 0.00009 Round 0.0024351797 to five dps. 0.00244 Round 0.00580555466 to 7 decimal places. 0.0058056 What is 1099417050 rounded to the nearest one hundred thousand? 1099400000 Round 0.00144337283 to six dps. 0.001443 What is 0.00582412264 rounded to seven decimal places? 0.0058241 Round -14.29144891 to the nearest integer. -14 What is 0.00000159203539 rounded to 7 dps? 0.0000016 What is -0.32098153 rounded to 4 decimal places? -0.321 What is -155945605.5 rounded to the nearest one million? -156000000 What is 0.0000001852466 rounded to 7 decimal places? 0.0000002 Round -2402029130 to the nearest one million. -2402000000 Round -0.0001037334479 to five decimal places. -0.0001 Round -16413562.56 to the nearest one hundred. -16413600 What is -573.173528 rounded to the nearest one hundred? -600 What is 22154040600 rounded to the nearest one million? 22154000000 What is -0.674035084 rounded to 3 dps? -0.674 What is 5238547.58 rounded to the nearest one million? 5000000 Round -0.00008758913624 to five decimal places. -0.00009 Round 332371.1968 to the nearest 10000. 330000 Round 755327.16 to the nearest 100000. 800000 Round -0.0000020756726649 to seven dps. -0.0000021 Round 0.00003980584852 to 6 dps. 0.00004 Round 0.00001026436126 to 6 decimal places. 0.00001 What is 174784.05 rounded to the nearest one hundred thousand? 200000 Round -31674401 to the nearest 100000. -31700000 What is -0.0093075185 rounded to five decimal places? -0.00931 Round 0.0199705961 to 6 decimal places. 0.019971 What is 557768.17 rounded to the nearest 100? 557800 Round -5086.429131 to 1 decimal place. -5086.4 Round -854432030 to the nearest 100000. -854400000 What is 146880.2936 rounded to the nearest 100? 146900 Round -38159.211 to the nearest ten. -38160 What is 92.0403289 rounded to two decimal places? 92.04 Round -0.04578340079 to 3 dps. -0.046 Round -5.86784 to the nearest 10. -10 What is -96.613879 rounded to the nearest 10? -100 What is 0.46667414 rounded to 2 dps? 0.47 What is -0.00452848217 rounded to 6 dps? -0.004528 Round -1141563790.8 to the nearest one hundred thousand. -1141600000 Round 31.4390371 to 2 decimal places. 31.44 Round 2915.47571 to 0 decimal places. 2915 What is 0.0261387175 rounded to six decimal places? 0.026139 What is -0.000620889751 rounded to 4 decimal places? -0.0006 What is 185.614042 rounded to the nearest integer? 186 What is -3610458.64 rounded to the nearest one million? -4000000 What is 0.6000072625 rounded to one dp? 0.6 What is -75434158 rounded to the nearest ten thousand? -75430000 Round -282698448.8 to the nearest 10000. -282700000 Round -1166.716224 to the nearest 10. -1170 What is 52.9280498 rounded to one dp? 52.9 What is 1124.4406667 rounded to the nearest 10? 1120 What is 5.83367887 rounded to four decimal places? 5.8337 Round -46105.43183 to the nearest 100. -46100 Round -364.072719 to the nearest 10. -360 What is 3465.2964 rounded to the nearest 100? 3500 Round 0.00274037766 to five decimal places. 0.00274 Round -708328.1 to the nearest 10000. -710000 Round -542980.9192 to the nearest ten. -542980 Round -30966753240 to the nearest 1000000. -30967000000 Round 1280171.5887 to the nearest ten. 1280170 What is 11725.0739 rounded to the nearest 100? 11700 Round 0.007876793017 to 3 dps. 0.008 Round -1683301.068 to the nearest one thousand. -1683000 What is 192.1972344 rounded to the nearest integer? 192 Round -1.272384074 to four decimal places. -1.2724 Round -0.0264494974 to 4 dps. -0.0264 Round -52592.7283 to the nearest 1000. -53000 Round -0.0485811708 to 2 decimal places. -0.05 Round -28748382.6 to the nearest 1000000. -29000000 What is 0.29889177 rounded to 2 decimal places? 0.3 What is -2.17308006 rounded to three dps? -2.173 What is -0.01637785031 rounded to 5 dps? -0.01638 Round 1244600598 to the nearest 100000. 1244600000 What is 0.542939492 rounded to 3 dps? 0.543 What is 25681.648 rounded to the nearest 1000? 26000 What is -46079589130 rounded to the nearest one million? -46080000000 Round -0.0280142414 to five dps. -0.02801 Round 0.000190859741 to 7 decimal places. 0.0001909 What is -126773.886 rounded to the nearest 10000? -130000 Round -0.00000474623638 to 7 dps. -0.0000047 Round 0.0243288478 to 2 decimal places. 0.02 What is -0.49904928 rounded to two dps? -0.5 What is 4137432000 rounded to the nearest 1000000? 4137000000 Round 289.7684185 to the nearest 100. 300 What is -618.02611 rounded to the nearest integer? -618 What is 0.00000066389539 rounded to six decimal places? 0.000001 Round -1971537.59 to the nearest one hundred. -1971500 What is -0.239882642 rounded to four decimal places? -0.2399 What is -0.01225252325 rounded to 6 decimal places? -0.012253 Round -0.00300648742 to six decimal places. -0.003006 What is -0.00013176324 rounded to six dps? -0.000132 What is -0.000011530773 rounded to 5 decimal places? -0.00001 What is 0.00000061470686 rounded to seven dps? 0.0000006 Round 0.000007563007 to 7 dps. 0.0000076 Round 0.0000006455565733 to seven dps. 0.0000006 What is -429491651 rounded to the nearest 1000000? -429000000 Round 538.628362 to the
{ "pile_set_name": "DM Mathematics" }
me factors of 0 + 415 - 192/(-64). 2, 11, 19 Suppose -2*y - 9 = l, l + 4*y + 22 = 3. Let z be 6 - (1 + (2 - l)). Suppose 3*o = z*n - 0*o - 99, 2*n = o + 51. List the prime factors of n. 3 Let b be ((-16)/(-20))/2*25. Suppose 2*f - b = -0*f. Suppose 5*g - 200 = -f*y, -4*g + 82 = -5*y - 33. What are the prime factors of g? 5, 7 Let l = -38 - -71. Suppose -3*h + l = 3*s, 4*s - 36 = 4*h - 0*h. What are the prime factors of s/(-3*(-1)/9)? 2, 3, 5 Let t = 617 - 333. What are the prime factors of (t/1)/(3 - 1)? 2, 71 Suppose -3*i = -s - 11, -2*s + 4*s - 2*i = -2. Let g be (-2)/8 - (-1)/s. Suppose g*c = c - 29. List the prime factors of c. 29 Suppose 1867 = 34*p - 1227. List the prime factors of p. 7, 13 Suppose 48339 - 195044 = -65*x. List the prime factors of x. 37, 61 Let p(z) be the second derivative of 11*z**3/6 - 21*z**2/2 - 2*z. List the prime factors of p(14). 7, 19 Suppose 4*p - q - 1609 = 4792, 0 = p - 4*q - 1604. What are the prime factors of p? 2, 5 Let i(m) = -56*m**3 + m**2 + 2*m + 1. Suppose 2 = -3*j - 1. Let c be i(j). Let q = c + -28. What are the prime factors of q? 2, 7 Let u = -1389 - -3384. What are the prime factors of u? 3, 5, 7, 19 Let y be -2*(1 + -2)/2. Suppose 0 = -f - y. List the prime factors of (f - -5)*10/4. 2, 5 Let d(w) = 35*w + 115. List the prime factors of d(6). 5, 13 Let u be ((-3240)/50)/(1/((-20)/6)). Let v = -97 + u. List the prime factors of v. 7, 17 Let v(s) = 9*s + 51. List the prime factors of v(7). 2, 3, 19 List the prime factors of 1209 + (-5)/((-45)/72). 1217 List the prime factors of 279/2 - 8/(-48)*3. 2, 5, 7 Let q = 323 - 125. Let s be q/(-10) - (-2)/(-10). Let n = 41 + s. List the prime factors of n. 3, 7 Let c(k) = -k - 1. Let s be c(-3). Suppose 5*l = s*b + 199, 3*b = 4*l + 5*b - 152. List the prime factors of l. 3, 13 Let b(z) = 4*z**2 - 46*z - 66. What are the prime factors of b(19)? 2, 3, 7 Let a(u) = 28*u**2 - 9*u + 22. What are the prime factors of a(4)? 2, 7, 31 Let g(p) = 21*p + 11. Suppose -s - 4*s + 52 = -2*h, s - 4 = 0. Let y(t) = 106*t + 56. Let l(m) = h*g(m) + 3*y(m). List the prime factors of l(-4). 2 What are the prime factors of -8 + (4032/2)/2? 2, 5 Suppose 6*r = 8*r - 22. Let x = r - 24. Let w = x + 33. List the prime factors of w. 2, 5 Let s = 33 - 10. Suppose 41 + s = 2*b. Suppose -f + 3*f - b = 0. What are the prime factors of f? 2 Suppose -7*h + 797 = -442. Let o = -102 + h. List the prime factors of o. 3, 5 Suppose 0 = 18*o - 5*o - 104. What are the prime factors of (1266/o)/((-75)/(-100))? 211 Let u = 70 + -7. Suppose 0 = -2*i - i + u. Suppose 3*a - 15 = i. List the prime factors of a. 2, 3 Let h be ((-3)/(-2))/((-3)/(-8)). Suppose -y - 42 = -4*d - 16, -d + h*y - 1 = 0. Suppose -u + d = -7. List the prime factors of u. 2, 7 Suppose 2*v + 6 = -5*b, 2*b + 7 - 1 = v. Let r = -52 - -164. Suppose 2*t + v*t - r = -2*y, -5*t + y = -154. What are the prime factors of t? 2, 3, 5 Let p be (-15)/(-20) - (-3)/(-4). Suppose 5*x + 5*v + p = 5, 1 = x - 3*v. Suppose -22 = -u - x. What are the prime factors of u? 3, 7 Suppose -5*f = -6*f + 12. Let p be 4/18 + (-76)/18. Let c = p + f. List the prime factors of c. 2 Let p be 8 - (5 + 0 + -2). Suppose u = -p*a + 35, -4*u = 3*a + a - 60. Let j = 18 - u. What are the prime factors of j? 2 What are the prime factors of (-154 + 158)/((-583)/584 + 1)? 2, 73 Suppose 3*z = -9, -21*a + 3*z = -17*a - 6321. List the prime factors of a. 2, 3, 263 Let x be 1/(0 - 2/(-6)). Suppose 0 = 5*j - 5*q - 40, -x*j + 2*q = 6*q - 3. Suppose -3*r + 40 = -4*i, -3*i = j*r - 32 + 4. What are the prime factors of r? 2 Let z(o) = -4*o**3 + 4*o**2 + o - 1. Let r be z(3). List the prime factors of ((-879)/21 + -1)/(10/r). 2, 3, 5 Let a(j) be the first derivative of 10*j**3 - 3*j**2 - 12*j - 42. What are the prime factors of a(-3)? 2, 3, 23 Let b(x) = -5*x**3 - 31*x**2 + 7*x - 24. Let v(l) = -2*l**3 - 15*l**2 + 4*l - 12. Let r(k) = 3*b(k) - 7*v(k). List the prime factors of r(10). 2, 71 Suppose -c - 9 = -11. Let f be ((-2)/c)/(5/(-425)). Suppose 2*m = 5*y - f, -y = -0*y - m - 14. What are the prime factors of y? 19 Let u(d) = -d - 6. Let l be u(-9). Let g(b) = -l*b + 2*b**2 - 3*b + 6 + 0*b - 3. What are the prime factors of g(5)? 23 Suppose 4*y = -3*f + 259 + 115, -4*y + f + 366 = 0. What are the prime factors of y? 2, 23 Suppose 4*l + n - 3*n + 184 = 0, -2*n + 4 = 0. Let q = l - -80. List the prime factors of q. 5, 7 Let n be (-28)/(-6)*(-6)/(-7). Let b = -112 + 171. Suppose -n*x - 13 = -v + 12, -4*x - b = -3*v. What are the prime factors of v? 17 Let w(t) = 30*t - 235. List the prime factors of w(59). 5, 307 Let m(r) = -r**3 - 3*r**2 - 7*r + 24. What are the prime factors of m(-8)? 2, 5 Let d = 576 - 398. Suppose 100 = 4*v - 5*y - d, -8 = 4*y. List the prime factors of v. 67 Let y(k) = -2*k + 18. List the prime factors of y(-4). 2, 13 Let s(c) = -c**3 - 30*c**2 + 3. Let f be s(-30). Suppose -169 = -4*l + f*d, 2*l - 65 = -0*l - 5*d. What are the prime factors of l? 2, 5 Let l(w) = 11*w**3 - w**2 - 1. Let a be l(2). Let k = -26 + -18. Let t = k + a. What are the prime factors of t? 3, 13 Suppose -2*r = z - 8 - 12, -40 = -4*r + 4*z. Let k = 20 + r. List the prime factors of k. 2, 3, 5 Let f(s) = -s**3 + 37*s**2 - 3*s + 94. What are the prime factors of f(34)? 2, 5, 173 Let j = -679 + 1256. List the prime factors of j. 577 Let m(n) = -11 + 3*n + 19 + 1 + 17. List the prime factors of m(0). 2, 13 Let w(t) = -2*t**3 - 8*t**2 - 14*t - 6. List the prime factors of w(-9). 2, 3, 5, 31 Let c = -42 + -25. Let v = c + 98. What are the prime factors of v? 31 Suppose 0 = 6*b - 8 - 10. Suppose 2*h = l - b*l + 22, -l - 4*h = -23. Suppose -l*q = -9*q + 26. What are the prime factors of q? 13 Let s(j) = 3*j + 21. Let w be s(-5). Suppose -w*p + 9*p - 336 = 0. What are the prime factors of p? 2, 7 Let s = -235 - -293. What are the prime factors of s? 2, 29 Suppose -3 = l + 3*j - 0, 3*j = 3*l + 9. Let x = 5 + l. Suppose -15 = -5*t, -3*a = x*a - 3*t - 26. What are the prime factors of a? 7 Suppose -207 = 3*n + 144. Let v = -18 - n. What are the prime factors of v/27 + (-4)/6? 3 Suppose 11 = 3*m - 994. Suppose 8*x = 3*x + m. What are the prime factors of x? 67 Let l(m) = -3*m**2 + 15*m + 11. Let o be l(6). What are the prime factors of (-627)/o - (-24)/56? 2, 3, 5 Suppose -127 + 2637 = 2*t - 3*n, 5*n - 4998 = -4*t. List the prime factors of t. 2, 313 Let w(o) = 4*o - 1. Let g be w(4). Suppose 6*n = n + g. Suppose n*s - 14 = 166. List the prime factors of s. 2, 3, 5 What are the prime factors of ((-102)/(-8))/((-9)/(-72)*2)? 3, 17 Suppose 3 = -4*a - f + 7, -4*a + 5*f + 28 = 0. Suppose -5*j = -2*u - 0*j + 19, u = -5*j + a. List the prime factors of u. 7 Let j = 6424 - 3081. What are the prime factors of j? 3343 Let s = -269 + 141. Let w = s + 398. What are the prime factors of w? 2, 3, 5 Suppose 0 = -2*c + 5*c - 3216. What are the prime factors of c/(-24)*(-3)/2? 67 Let d = -102 - -80. What are the prime factors of (-4)/22 + (-1302)/d? 59 Let h = 46 - -70. List the prime factors of h. 2, 29 Suppose 0 = -8*b + 2073 - 209. What are the prime factors of b? 233 Let x be -2*3*(-80)/24. Suppose x = 5*c - 0*c. Suppose -c*p - 2*j + 54 = 0, -14 - 25 = -3*p - j. List the prime factors of p. 2, 3 What are the prime factors of (-40)/20 - 6*447/(-2)? 13, 103 Let a(v) = -v + 1. Let r be a(-2). Suppose -r*s + h = -133, 3*s = -2*h - h + 129. What are the prime factors of s? 2, 11 Let x = 65 + -34. Let s be (232/(-10))/((-4)/10). Let y = s - x. List the prime factors of y. 3 Suppose -6*z = -2*f - z + 213, 3*z = 5*f - 561. Suppose -7*l - f = -807. List the prime factors of l. 3, 11 Let j = -54 - -93. Let y = 21 - j. What are the prime factors of (y/(-4))/((-2)/(-12))? 3 Let o be (1/(-2))/(7/(-28)). Suppose o*t = -5*u + 130, 2*t + 4*u - 128 = -0*u. What are the prime factors of t? 2, 3, 5 Let j be 0 - 8/(-12)*-93. Let c = 21 - j. List the prime factors of c. 83 List the prime factors of (-240)/(-8)*(-312)/(-16). 3, 5, 13 Let a(f) = 12*f**2 - 36*f - 17. List the prime factors of a(7). 11, 29 Let g(z) = 5*z**2 + 95*z - 28. List the prime factors of g(-22). 2, 151 Suppose 2400 = 3*h - 2*u, -26*u + 27*u = -4*h + 3189. What are the prime factors of h? 2, 3, 7, 19 Let t = 843 + -399. What are the prime factors of 6/(-4)*t
{ "pile_set_name": "DM Mathematics" }
m. 5 Suppose -4*k - 4*t = -20, 3*k - 5*t + 9 = 4*k. Suppose 5*v + 1 + k = 2*q, 4*v = 4*q - 4. Suppose -2*d - 2*d + 12 = -f, q = -3*f. Solve 0*z - d*z = 6 for z. -2 Let z be 252/(-35)*(-10)/4. Solve 5*u = 7 + z for u. 5 Let r(z) = z**3 + z**2 - 2*z - 4*z - 6*z**2. Let f be r(6). Suppose -3 = -k - f*k. Solve q - 12 = -k*q for q. 3 Suppose q - 2*q + 45 = 0. Let l = -27 + q. Suppose -a - a = -l. Solve a = -4*z - 7 for z. -4 Let d(p) be the first derivative of 3*p**2/2 - 6*p + 13. Suppose 3*n - 12 = 3. Let m be d(n). Solve m = -5*z - 16 for z. -5 Suppose 0*u - 36 = -4*u - 5*h, 24 = 5*u + h. Let w = u + -2. Let f = w + 4. Solve 2*s - 2 - f = 0 for s. 4 Let v = 2 + 3. Suppose v = -c + 14. Let o be (2*-2)/((-6)/c). Solve 4 + o = 5*f for f. 2 Suppose 0 = 3*s - 7*s + 4. Let a = 1 - s. Solve a = -2*k - k + 9 for k. 3 Let d(x) be the third derivative of -x**4/24 + 13*x**3/6 + 4*x**2. Let i be d(9). Solve y + 0 = -i for y. -4 Suppose v + 12 = -5*f, -5*v - f + 2*f - 8 = 0. Let r be -1 + (v - -3) + 5. Suppose -r*h + 9 = 2*c, 0*c + c = 4*h + 24. Solve 4*z + c = -8 for z. -5 Let k be (6/(-4))/((15/4)/(-5)). Solve -k*x = -0 - 6 for x. 3 Let z(d) = 7*d - d - d**3 - 6*d**2 + 2 - 8. Let b be z(-7). Suppose 3*l - h = 1, 3*l - h + b = -2*h. Solve -5 = -o - l*o for o. 5 Suppose -7*d = -4 - 3. Solve d + 19 = 5*v for v. 4 Suppose -4*s = -4*l + 184, 2*s - 119 = -5*l + 139. Suppose 3*z + 67 = -4*h, 2*z + 5*h + 4 = -l. Let g = z + 40. Solve -2 - g = 5*y for y. -5 Let q be 1 + (-2 - -2) + 1. Solve q*u + 1 = -5 for u. -3 Let b(l) = l**3 - 17*l**2 - l + 21. Let v be b(17). Solve 2 + v = -2*r for r. -3 Let s be (-1 - 6/(-2)) + -2. Suppose -4*n + 9*n - 20 = 0. Suppose -3*x - i - 5 + 1 = 0, -n*i = 4*x + 16. Solve d + x*d = s for d. 0 Suppose 0*z = 4*z - 16. Let v(l) = -l**3 + 4*l**2 + 2*l - 5. Let i be v(z). Solve -2*h - i*h = 0 for h. 0 Suppose -6 = 2*y - 3*x, 0 = 2*x + x - 6. Solve 5*r + y*r - 20 = 0 for r. 4 Let p be (-24)/(-30)*(-15)/(-2). Solve 2*h = -h - p for h. -2 Suppose 7*n + 2 = 16. Solve 0 = n*o + 2*o for o. 0 Let i(f) = f**3 + 2*f**2 - 1. Let m be i(-2). Let j = 5 - m. Solve 2*x - j = -x for x. 2 Suppose 0*q = -2*q - 2. Let a be q - (1 - 0)*-1. Solve a = -5*c + 1 + 9 for c. 2 Let o be (-10)/15 + (-20)/6. Let a = 2 + o. Let c be ((-1)/a)/((-2)/(-12)). Solve -6*k - 15 = -c*k for k. -5 Let p = 9 + -4. Solve -2*i + 5 = -p for i. 5 Suppose 0 = q + q - 5*j + 3, 3*j - 17 = 5*q. Let p = q + 8. Suppose -2*n + 14 = -n + 2*i, 3*n + i - 17 = 0. Solve 3*k = n*k - p for k. 4 Suppose -3*n + 16 = 5*o - 4*n, 0 = 3*o - 4*n - 13. Let h be o/9*9 + 1. Suppose -s = 3*s. Solve -h*q + 2*q + 6 = s for q. 3 Let b be 1/((-1)/3*1). Let l(h) = -h**2 - 6*h - 5. Let k be l(b). Solve -k = 2*a - a for a. -4 Suppose 0*f = 4*f + 16, -5*c = 2*f - 47. Let t = c + -7. Solve -5*x - t - 16 = 0 for x. -4 Suppose -1 = b, 14 = 2*r - r - 4*b. Suppose g + r = 4*k + 3*g, -2*g = 10. Solve 0 = -k*n - 5 for n. -1 Suppose -3*w + h + 7 = -3*h, 3*w = -3*h. Solve -2*l = w + 3 for l. -2 Suppose 0 = t + 1. Let u be 10*(t + -1 + 3). Solve -n = 4*n - u for n. 2 Let t(f) = -f**2 - 3*f + 2. Let v be t(-2). Suppose -n = -v*n + 57. Solve -1 = -4*c + n for c. 5 Let b(f) = f**3 - 3*f + 2. Let n be b(-2). Solve n*h - 6 = 3*h for h. -2 Suppose -2*d + 24 = 3*u, 12 = d + 3*u + 2*u. Solve -4*l = -d + 4 for l. 2 Let i be 8 - (0 - (-12)/3). Solve 3*r + i = -8 for r. -4 Suppose 19*g - 9*g - 110 = 0. Solve -2*a = -g + 5 for a. 3 Let l = -1 + 1. Suppose 3*n - 11 = 1. Solve l = x - 5*x + n for x. 1 Let k(f) = -3*f**3 + 2*f**2 + 2*f + 1. Let u be k(-1). Suppose 5 = u*g - 3. Suppose 0 = -5*y - 3*p + 40, 3*y - 20 = -3*p + 4. Solve 3*n + g = y for n. 2 Let h be -1 + (-5 + -20)/(-5). Solve 0 = h*t - 6*t for t. 0 Let x be (-2)/1 + 4 + -2. Let v = 304 + -296. Suppose -5*g + 3*g + 4 = 0. Solve x*s - v = g*s for s. -4 Suppose 0 = f - 5*b - 30, -17 - 13 = -5*f + b. Suppose 0 = 2*o - f - 5. Solve n = o*n - 12 for n. 3 Let b(c) = c**2 + 3*c + 2. Let h be b(-3). Suppose 2 = -h*n + 18. Suppose 3*v + n = 7*v. Solve k - v = -0 for k. 2 Let s(x) = x**2 + 4*x + 2. Let q be s(-6). Let t be 24/q + (-20)/(-70). Solve t*u + 15 = -u for u. -5 Let j be (-6)/4*(-2)/3. Let l(z) = z - 1. Let g be l(4). Suppose -k - g*k = -16. Solve -11 = k*r + j for r. -3 Suppose -4*t + 0 = -16. Let a = t - 5. Let x = a - -4. Solve 0 = -x*n + 5*n + 4 for n. -2 Suppose -3*s - 1 = 59. Let n = s + 56. Suppose 0*i = -3*i + n. Solve 3*h + i = -0*h for h. -4 Suppose -4*p - p = -125. Suppose -5*i + 25 = -p. Let g = i - 4. Solve 0 = g*j - j for j. 0 Let r = 1 - 0. Suppose -2*i = -r - 5. Solve b - i = -0 for b. 3 Suppose 2*d + 8 = -4*i, 7*i = -5*d + 2*i. Let o(q) = q**2 - 13*q - 10. Let a be o(15). Solve 4*s = -d + a for s. 4 Suppose 18*m - 144 + 54 = 0. Solve -m*u + 4*u + 2 = 0 for u. 2 Let v be 3*10*1/3. Let n be (-15)/(-2)*8/v. Let t be 9/n*4/3. Solve 4 = -0*o - t*o for o. -2 Suppose 2*k + 2*a = -3*k + 12, -5*a = 20. Solve 0 = -g - k*g + 5 for g. 1 Let o = -20 + 51. Suppose -z - 17 = -3*z + 3*y, -5*y = -4*z + o. Suppose w = z*w - 6. Solve 0 = 2*b + w for b. -1 Suppose 5*a = 4*k + 17, a = -0*a + k + 3. Suppose -a*m - 4*y - 8 + 48 = 0, -m + 8 = 5*y. Let h be 2/(2/(m/2)). Solve g = 7 - h for g. 3 Let m = 9 - 5. Suppose 0 = 2*l - m*l. Let i be (8/20)/(2/10). Solve l = -5*q + i*q - 6 for q. -2 Suppose -6*d = -d. Suppose -i + 2 + 1 = d. Solve i = 2*w + w for w. 1 Let d be 92/(-16) + (-3)/(-4). Let r be 9/(((-15)/4)/d). Solve 2*b + b - r = 0 for b. 4 Let c(f) = f**3 - 4*f**2 + f + 2. Let b be 2 - ((-1)/(-1) + -1). Let l be c(b). Let n = 6 + l. Solve 4 = -n*r + 2 for r. -1 Suppose -f - 2*d + 9 = 0, -3 = 3*d - 6. Let x be 64/20 + (-3)/15. Solve -f - x = 2*r for r. -5 Suppose 5*f - 2*f = 135. Suppose 0 = t + 4*t - f. Let l = t + -5. Solve 3*m - m + l = 0 for m. -2 Let j = 12 + -10. Solve -j = a + a for a. -1 Let s = 59 - 59. Solve s = -5*f + 8 + 17 for f. 5 Let a be 24/(-20)*5/(-2). Let j = a - -2. Solve b - j*b = -4 for b. 1 Let o(t) = t**2 + 4*t - 8. Let u be o(-6). Solve 5 = u*m + 1 for m. 1 Suppose 27 - 187 = -4*k. Suppose 3*x + 2*x + k = 0. Let n = x - -13. Solve n + 4 = -3*p for p. -3 Let h be 24/14 - 4/(-14). Suppose 5*a + 3*q = -h, -6 = -5*a - 5*q - 16. Let n be (-4)/((-24)/(-18)) - -6. Solve n = a*y - 5*y for y. -1 Let q(t) = -t**3 + 6*t**2 - 6*t + 5. Let y be q(5). Let r = 11 + -8. Suppose 0 = -2*u - 3*u - 5*g + 50, 26 = r*u + 5*g. Solve 0 = 3*k - y*k + u for k. -4 Let a(w) = -w**2 + 7*w - 5. Let t be a(5). Suppose 9*n = t*n + 12. Solve -n*f = -2*f for f. 0 Let v = -7 + 17. Suppose 11 = o + 3*d - 2, -2*d + v = o. Solve 5*p + o = p for p. -1 Let o(u) be the first derivative of 2*u**2 + 1/3*u**3 + 6*u - 2. Let k be o(-4). Solve -5*w + 16 = k for w. 2 Let k be ((-2)/(-10) - 174/(-30)) + 3. Let r = -6 + 13. Solve 4*m = -k - r for m. -4 Let s = -2 + 6. Let b be ((-4)/(-6))/((-3)/(-18)). Suppose w = -j + s*w - 6, 0 = -2*w + b. Solve -3*v + 3 = -j for v. 1 Let s(c) = c**2 + 13*c + 15. Let l be s(-12). Solve -q + l = 5 for q. -2 Let o(i) = i**3 + 9*i**2 - 2*i - 10. Let b(w) = -3*w + 3. Let m be b(4). Let p be o(m). Solve 17 + p = -5*k for k. -5 Suppose -f = 2*n - 6*f - 141, 4*n = -4*f + 240. Let z be (-14)/n - 20/(-9). Solve 3 - 13 = z*r for r. -5 Let c = -25 - -29. Solve -c*y + 15 + 1 = 0 for y. 4 Let c = -11 + 24. Let s = c - 10. Solve -5*f + s = -2 for f. 1 Let d be 1 + 1 + 5 + -3. Let s be (1 - 3) + 2 - -2. Let c be 0*(s - (2 - -1)). Solve -4*x - d + 20 = c for x. 4 Suppose 0 = -4*g - 4*u, -3*u = -g - 3*g - 14. Let p = 4 + g. Let w(y) = -y**2 + 3*y. Let k be w(3). Solve k = 6*s - p*s - 4 for s. 1 Suppose 4*r + 8 = 0, -2*b - 3*r + 74 = -0*b. Suppose 4*g - 16 = 0, 4*h - 4*g - b = g. Suppose 0 = 3*k + l - 7, 0 = -4*l + 4 - 0. Solve k*i = -3*i - h for i. -3 Let i be 2*(-2)/(-4)*2. Let m be 0 - (-3 - (i + -3)). Solve 3*x + 2 = m*x for x. -2 Let k be 5/15*(4 - 1). Let j be (6 + -6)/(1/k). Let h be (-2 - (-1 - 11)) + j. Solve -a - h = a for a. -5 Suppose -3*q + 2*q = 4*q. Solve -10*u + 9*u + 4 = q for u. 4 Let m(t) = -5*t + 31. Let l be m(6). Solve -4*f + 5 = l for f. 1 Let y be (32/(-40))/((-8)/20). Solve -y*w + 5 = 15 for w. -5 Let i(h) = 11 - 3*h + 4*h - 1. Let x be i(-6). Solve 4 = x*b - 8 for b. 3 Let k(r) = -r**3 + 6*r**2 - 4*r. Let i be k(5). Suppose 3*o - i*x = o + 11, 2*x - 1 = -o.
{ "pile_set_name": "DM Mathematics" }
0.3 - -140. Which is the smallest value? (a) -1/6 (b) v (c) 8/9 (d) 1 b Let q be 1/4*(1 - 2). Let j be (-6 - 258/(-36)) + 1/6. Let l = -3 + 3.2. What is the second biggest value in q, j, l? l Let u = -4 + 52. Let q = -238/5 + u. Which is the smallest value? (a) 2 (b) 0.1 (c) q b Let b = 51.03 + -51. What is the second biggest value in -0.4, b, 0? 0 Let z = 10 - 15. What is the third smallest value in 0.4, z, -2/9? 0.4 Let y = 5 - 5. Let m(l) = -l**2 + 1. Let q be m(-2). Which is the smallest value? (a) q (b) -1/4 (c) y a Let j = -2.9 - -2.7. Let s = j + 0.3. Let u(d) = d**2 - d - 1. Let v be u(2). What is the third biggest value in s, v, -3/8? -3/8 Let c = -14 - -10. Let g = 7 + c. Let i = -2.6 + g. What is the second smallest value in 3/5, i, 2/9? i Let h = -3.3 + 5.4. Let k = 0.1 - h. Let d = 11 + -10. What is the biggest value in k, d, -1? d Let l = -7.818 + 0.828. Let p = 7 + l. Let d = -2.99 - p. Which is the third smallest value? (a) d (b) -0.4 (c) 2 c Let j = 7 + -5. Let b = -2 - j. What is the second smallest value in b, -1/10, 2/11? -1/10 Let o = 143 + -149. What is the fourth smallest value in o, 2/7, 0.2, 1? 1 Let g = 3 - 3.2. Let j = 1 + -1. Let t be ((-1 + 0)*1)/1. Which is the second smallest value? (a) g (b) t (c) j a Let v = -0.76 - 0.04. Let j = 1.8 + v. What is the smallest value in -2/3, j, 2? -2/3 Let n = 0.5 + -0.2. Let v = n + -9.3. Which is the biggest value? (a) v (b) -2/9 (c) 1/3 c Let q = -4 + 5. Let n be (-6)/9 + q + 0. Let f = -44/21 + 16/21. What is the smallest value in 0.3, n, f? f Let z = -2.909 + 0.009. Let y = 3 + z. Let s = -0.58 + -2.42. Which is the third biggest value? (a) 0.2 (b) s (c) y b Let a = -58 + 58.2. What is the second smallest value in a, 0, -1.2? 0 Let b be (48/15)/(2/15). Suppose 0 = -z + 3*z - b. Suppose 3*v - z = 6*v, 4*r = 2*v - 4. What is the second smallest value in 3/4, -4, r? r Let v = 23 - 11. What is the second biggest value in v, 4/5, -5, -1? 4/5 Let j = -5 - -4.5. Let x = -0.1 - -0.6. Let f = -0.9 + x. Which is the smallest value? (a) f (b) -1/6 (c) j c Let h = 2.22 + -54.3. Let x = h + 51. Let o = -0.08 - x. What is the second biggest value in 0.3, o, -2/17? 0.3 Let d be (12/(-8))/(((-6)/(-4))/(-1)). Which is the second smallest value? (a) -14 (b) d (c) -0.4 c Let q = -11.05 - -11. Let b = q - 1.95. What is the third smallest value in b, -2/7, -8? -2/7 Let d be -3*4/15*(-35)/14. Which is the second smallest value? (a) -4/9 (b) -2 (c) d a Let m = -13.11 - -13. Let p = -0.21 - m. What is the second biggest value in p, 0.5, 3? 0.5 Let m be (-58)/(-10) - 40/50. What is the second smallest value in -1/13, 0.2, 0, m? 0 Let q = 83 - 81. What is the third smallest value in -3, -2.4, q? q Let q = 65 - 64.6. Which is the second biggest value? (a) q (b) -0.3 (c) -3 (d) 0.3 d Let h = 1.5 - 2. What is the second smallest value in -1, h, -0.4? h Let n = 7 + -4. Suppose n*h - 4 - 8 = 0. Which is the smallest value? (a) h (b) 5 (c) -3 c Let w = -0.04 + 0.44. What is the third smallest value in w, 2, -0.2? 2 Let z = 3.5 + -1.5. Let p = -5 + 4.8. What is the third biggest value in z, 5, p? p Let j = -51 + 56.4. Let u = j + -5. Let q = -0.6 - u. Which is the smallest value? (a) 0.4 (b) q (c) -2/7 b Let m = 0.58 + -0.78. What is the second biggest value in 3, -4, 2/9, m? 2/9 Let f be -604*((-2)/4 - 0). Let l = 4649409/13 + -357949. Let o = f + l. What is the biggest value in -1/2, 0.1, o? 0.1 Let s(n) = -n**2 + n + 4. Let m be s(3). Let p be ((m - -1)*-2)/6. Let v = -14 + 16. What is the biggest value in 5, p, v? 5 Let q = 0.14 + -5.14. Which is the second smallest value? (a) -1/7 (b) 0.4 (c) q a Let n = 3.07 - 0.07. Let w(q) = -2*q - 6. Let h be w(-4). Suppose -3*j = 3*i, 0 + 1 = -h*i - j. What is the second biggest value in 2, i, n? 2 Suppose 0 = 4*o - 2*v - 6, -4*v - 6 = 3*o - 9*v. Let z be 1*(80/(-28) + o). Which is the biggest value? (a) 1/2 (b) z (c) 0.1 a Let l = -0.759 + -0.041. Which is the third smallest value? (a) -1/2 (b) l (c) 3/2 (d) 2 c Let k = -1.3 - -1.1. Let l = 0 + k. Which is the third biggest value? (a) -0.4 (b) l (c) 10 a Let x = -0.04 + 0.34. Let s = -0.2 + x. Let p = -5 - -5.4. Which is the third biggest value? (a) s (b) p (c) -1/2 c Let o = 4.7 + -3.2. What is the biggest value in 4, o, 5? 5 Let s = -11 - -7. Which is the biggest value? (a) 5 (b) s (c) 0.5 a Let r = -4.93 + -0.07. What is the smallest value in 2/5, -16, r, 0.3? -16 Let t = -6 + 5.8. Let k = -15 - -197/13. Which is the third biggest value? (a) 0.2 (b) k (c) t c Let n = 6.7 - 6. Let o = n - 1. Let u = o + 0.6. What is the biggest value in -2, u, -2/23? u Let d = -7 - -7.3. Let x = 0.16 - 0.06. Which is the third biggest value? (a) x (b) d (c) -3/8 c Let l = 0.8 + -1. Let n = 22 + -21.7. Let v = l - n. Which is the second smallest value? (a) -5 (b) v (c) 0.1 b Let p = 1.4 + -0.4. Suppose -5*v + 3*u + 16 = 0, -u - 1 = -5*v + 11. What is the smallest value in v, p, 0.3? 0.3 Let w = -5 + 5. Suppose -3*j - 9 = -t - 2*t, -2*t = -j - 8. Let m(v) = v**2 + 8*v + 8. Let z be m(-7). Which is the third smallest value? (a) z (b) t (c) w b Let l = 16.2 + -16. What is the third biggest value in l, 2/11, 3/13? 2/11 Let s = -0.19 + 4.19. Let v = -2.3 + -0.7. Which is the smallest value? (a) s (b) 2 (c) v c Let q = -0.6 + 0.2. Which is the second biggest value? (a) -4 (b) q (c) 1/2 (d) -0.3 d Let v = -9 + 17. Let j = v - 7.9. Which is the smallest value? (a) j (b) -2 (c) -3 c Let m = -41/2 + 20. Which is the third biggest value? (a) -5 (b) m (c) 3 a Let v = -3.05 - -3. Let k = v - -0.55. What is the second smallest value in k, -4, 5? k Let t = -0.449 + 0.049. Which is the second smallest value? (a) 46 (b) -1/3 (c) t b Let t = -1 + -3. What is the second biggest value in -0.2, 4, t? -0.2 Let m = 27.792 - -0.108. Let x = 28 - m. Let g = 2 - 1.7. Which is the second biggest value? (a) -1 (b) g (c) x c Let n = -11.143 + 0.143. What is the smallest value in n, -2/3, 2/3, 1/3? n Let q = -148 + 3106/21. Which is the smallest value? (a) -1 (b) q (c) 2/3 a Let h = -33.3 - -32. Let r = -6 - -5.7. Let o = h - r. Which is the third smallest value? (a) 5 (b) o (c) -3 a Suppose -24 = 3*o + 57. Let u be (-63)/o - (-1)/(-3). Let v = 3.3 + 0.7. Which is the second biggest value? (a) u (b) -0.4 (c) v a Let g be 2*((-2)/4 - 1). Let m = -0.8 - -3.8. Which is the second smallest value? (a) 4 (b) m (c) g b Let r be (-33)/(-15) - 4/(-5). Which is the biggest value? (a) 5/2 (b) 0.1 (c) r c Let k = -4.1 + 9.4. Let u = -41 + 46. Let w = u - k. Which is the second smallest value? (a) -3/2 (b) 4 (c) w c Let w = 33.526 + -5.556. Let h = 28 - w. What is the second biggest value in 3, -1/3, h? h Let j = 11 - 7. Let y = -6 + 9. Which is the smallest value? (a) y (b) j (c) -0.2 c Let q be (-7)/6*45/70. What is the third smallest value in -1, q, -2/11? -2/11 Let g = 4 - 3. Let m = -50/27 - -14/27. Which is the second smallest value? (a) m (b) -1 (c) g b Let x be (-2)/(-6) - 14/(-12). Let n = 4.9 - 8.9. Suppose -16 = -2*z + 2*d, 0 = -2*z + z + 3*d + 16. Which is the biggest value? (a) z (b) n (c) x a Suppose 0 = -5*p + 28 - 8. Suppose -2*k = p + 4. Let h = 26/33 + -4/33. What is the second smallest value in k, h, -1/5? -1/5 Suppose 3*y = y + 6. Let v = 8 - 7.94. Let m = v + 0.34. What is the smallest value in y, 0, m? 0 Let c = -152.06 - -150. Let n = -0.06 - c. Let m = 0 + n. What is the second smallest value in -0.3, 0.2, m? 0.2 Let y = 35.5 + -35. Which is the third smallest value? (a) -0.2 (b) y (c) 1 c Suppose -h = -2*g - 4, 5 = -4*h - 5*g - 5. What is the smallest value in -2.4, -0.1, h? -2.4 Let h be (-3)/2*(-288)/54. Let f = 2 - 0. What is the smallest value in 1/4, h, f? 1/4 Let q = 48 + -49.1. What is the biggest value in 1, q, -0.2? 1 Let r = -30 + 29. Which is the biggest value? (a) -10 (b) r (c) -5 b Let p = 15 + -17. Let z = p + 1. Which is the biggest value? (a) z (b) 0 (c) -0.1 b Let m = -10 + 3. Let o be 8/10*5/20. What is the second smallest value in m, o, 0.4? o Let w = -8 + 3. Let k(y) = -y**3 - 6*y**2 - 4*y. Let v be k(w). Which is the second smallest value? (a) 2 (b) v (c) 0 c Let c = -0.4 + 3.4. Let r = 8 - 1
{ "pile_set_name": "DM Mathematics" }
common factor of 6623 and 407. 37 Calculate the highest common factor of 18103 and 43. 43 Calculate the greatest common factor of 56 and 105. 7 Calculate the highest common factor of 272 and 208. 16 Calculate the greatest common factor of 80 and 1808. 16 What is the greatest common factor of 17268 and 12? 12 Calculate the greatest common divisor of 4084 and 2. 2 Calculate the highest common divisor of 828 and 391. 23 What is the highest common divisor of 92 and 322? 46 What is the highest common factor of 90 and 18? 18 What is the greatest common divisor of 152 and 12? 4 What is the greatest common factor of 247 and 551? 19 What is the highest common divisor of 392 and 1302? 14 Calculate the highest common factor of 74 and 11396. 74 Calculate the highest common divisor of 9 and 207. 9 Calculate the highest common factor of 184 and 24. 8 What is the greatest common factor of 60 and 804? 12 What is the greatest common factor of 544 and 1292? 68 Calculate the greatest common divisor of 65 and 52. 13 Calculate the highest common factor of 980 and 28. 28 Calculate the highest common factor of 231 and 385. 77 Calculate the highest common factor of 45 and 60. 15 Calculate the greatest common divisor of 24 and 36. 12 What is the greatest common factor of 16 and 4436? 4 Calculate the greatest common divisor of 26 and 3. 1 What is the greatest common divisor of 64 and 1728? 64 What is the highest common divisor of 481 and 143? 13 Calculate the greatest common divisor of 33 and 1749. 33 Calculate the greatest common factor of 119 and 7. 7 What is the highest common factor of 3 and 351? 3 Calculate the greatest common factor of 33 and 15. 3 Calculate the greatest common divisor of 20 and 2. 2 Calculate the greatest common divisor of 50 and 610. 10 Calculate the greatest common divisor of 94 and 5452. 94 What is the highest common factor of 75 and 25? 25 What is the greatest common factor of 1072 and 80? 16 What is the highest common divisor of 5792 and 1629? 181 What is the highest common factor of 2346 and 102? 102 Calculate the highest common divisor of 1557 and 63. 9 What is the highest common factor of 8 and 56? 8 What is the highest common divisor of 1826 and 154? 22 Calculate the highest common factor of 33 and 803. 11 Calculate the highest common divisor of 14810 and 10. 10 Calculate the highest common divisor of 32 and 432. 16 Calculate the greatest common factor of 152 and 551. 19 What is the highest common divisor of 1275 and 5151? 51 Calculate the greatest common divisor of 6 and 3282. 6 What is the highest common factor of 20 and 810? 10 Calculate the highest common factor of 752 and 47. 47 What is the greatest common factor of 2615 and 5? 5 Calculate the highest common divisor of 72 and 2376. 72 Calculate the highest common divisor of 4 and 50. 2 Calculate the highest common factor of 1195 and 10. 5 What is the highest common divisor of 5 and 95? 5 Calculate the greatest common factor of 897 and 312. 39 What is the highest common divisor of 12587 and 41? 41 What is the greatest common divisor of 94 and 4? 2 Calculate the greatest common divisor of 19 and 475. 19 What is the greatest common factor of 915 and 30? 15 What is the greatest common divisor of 40 and 680? 40 Calculate the highest common divisor of 6 and 438. 6 Calculate the greatest common factor of 12 and 78. 6 Calculate the highest common divisor of 152 and 76. 76 Calculate the greatest common factor of 21 and 2502. 3 What is the highest common factor of 104 and 78? 26 Calculate the highest common divisor of 42 and 273. 21 Calculate the greatest common divisor of 36 and 162. 18 Calculate the highest common factor of 54 and 336. 6 Calculate the highest common factor of 6 and 18903. 3 Calculate the highest common divisor of 64 and 128. 64 What is the highest common divisor of 304 and 532? 76 Calculate the greatest common factor of 12 and 172. 4 Calculate the highest common divisor of 21276 and 270. 54 What is the greatest common factor of 34 and 2? 2 What is the greatest common divisor of 3893 and 119? 17 Calculate the greatest common divisor of 85 and 595. 85 Calculate the highest common factor of 30 and 102. 6 What is the highest common divisor of 779 and 19? 19 Calculate the highest common divisor of 5084 and 124. 124 What is the highest common divisor of 91 and 221? 13 What is the greatest common factor of 217 and 465? 31 What is the greatest common divisor of 12 and 156? 12 What is the greatest common divisor of 1025 and 50? 25 What is the highest common factor of 7 and 137? 1 Calculate the greatest common factor of 32 and 1072. 16 What is the highest common factor of 6248 and 352? 88 What is the highest common divisor of 630 and 70? 70 Calculate the greatest common factor of 203 and 377. 29 What is the highest common factor of 42 and 102? 6 What is the greatest common divisor of 66 and 550? 22 Calculate the highest common divisor of 9944 and 8. 8 Calculate the greatest common divisor of 32 and 7328. 32 Calculate the highest common factor of 33 and 15. 3 What is the highest common divisor of 1850 and 125? 25 What is the greatest common divisor of 29134 and 14? 14 What is the greatest common factor of 4891 and 67? 67 What is the greatest common factor of 418 and 638? 22 What is the highest common divisor of 63 and 3654? 63 Calculate the greatest common divisor of 544 and 64. 32 What is the highest common factor of 48 and 2796? 12 Calculate the greatest common divisor of 32 and 24. 8 Calculate the greatest common factor of 6776 and 56. 56 Calculate the greatest common divisor of 75 and 100. 25 Calculate the highest common divisor of 156 and 91. 13 Calculate the highest common factor of 56 and 1288. 56 Calculate the greatest common factor of 946 and 22. 22 What is the greatest common factor of 168 and 147? 21 Calculate the greatest common divisor of 24 and 388. 4 Calculate the greatest common divisor of 1250 and 4250. 250 Calculate the highest common factor of 42 and 112. 14 What is the greatest common divisor of 48 and 282? 6 What is the highest common factor of 35 and 245? 35 Calculate the highest common divisor of 2091 and 255. 51 What is the greatest common factor of 108 and 54? 54 Calculate the highest common divisor of 670 and 20. 10 What is the greatest common factor of 33 and 264? 33 Calculate the greatest common divisor of 3157 and 231. 77 Calculate the greatest common factor of 3 and 189. 3 Calculate the highest common divisor of 121 and 23. 1 Calculate the highest common factor of 434 and 56. 14 What is the highest common divisor of 500 and 20? 20 Calculate the greatest common factor of 2898 and 1794. 138 Calculate the greatest common factor of 90 and 18. 18 What is the greatest common factor of 935 and 374? 187 Calculate the highest common factor of 2904 and 84. 12 Calculate the greatest common divisor of 24 and 68. 4 What is the greatest common divisor of 104 and 40? 8 What is the greatest common factor of 6993 and 189? 189 What is the greatest common divisor of 928 and 29? 29 Calculate the greatest common divisor of 1188 and 22. 22 What is the greatest common factor of 1440 and 12? 12 What is the highest common divisor of 856 and 40? 8 What is the highest common factor of 2546 and 268? 134 Calculate the highest common factor of 888 and 18. 6 Calculate the highest common factor of 98 and 56. 14 What is the highest common divisor of 334 and 2? 2 Calculate the greatest common divisor of 168 and 1680. 168 Calculate the highest common divisor of 14 and 406. 14 Calculate the highest common divisor of 36 and 32. 4 Calculate the highest common factor of 20 and 5690. 10 Calculate the highest common divisor of 2286 and 18. 18 What is the greatest common factor of 1353 and 561? 33 What is the highest common divisor of 882 and 504? 126 Calculate the greatest common factor of 57 and 10317. 57 What is the greatest common factor of 357 and 51? 51 Calculate the highest common factor of 9675 and 675. 225 Calculate the highest common factor of 55 and 135. 5 What is the greatest common divisor of 1716 and 546? 78 Calculate the greatest common factor of 1739 and 141. 47 Calculate the greatest common factor of 36 and 72108. 36 What is the highest common divisor of 14 and 952? 14 Cal
{ "pile_set_name": "DM Mathematics" }
nt from {i: 2, c: 4}. 1/5 Two letters picked without replacement from {u: 8, h: 2, s: 2}. What is prob of picking 2 u? 14/33 Two letters picked without replacement from {e: 2, z: 12, c: 4, b: 2}. Give prob of picking 1 z and 1 c. 24/95 What is prob of picking 1 u, 1 w, and 2 n when four letters picked without replacement from {q: 4, m: 1, n: 6, w: 1, t: 2, u: 4}? 1/51 Calculate prob of picking 4 a when four letters picked without replacement from {l: 3, a: 13}. 11/28 Two letters picked without replacement from bbbbbbbbbbbbbub. Give prob of picking 1 u and 1 b. 2/15 Three letters picked without replacement from qmbrs. What is prob of picking 1 r, 1 b, and 1 s? 1/10 Calculate prob of picking 1 o, 2 c, and 1 e when four letters picked without replacement from jsesjscssesccoe. 3/455 Three letters picked without replacement from {c: 1, w: 2, y: 1, k: 1, g: 1, i: 1}. Give prob of picking 2 w and 1 g. 1/35 Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {y: 7, z: 2, v: 1, i: 2, j: 1, b: 2}. 4/105 Three letters picked without replacement from xfzxz. Give prob of picking 1 f and 2 z. 1/10 Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {q: 1, a: 5, b: 1, j: 1, v: 1}. 5/36 What is prob of picking 1 w and 2 r when three letters picked without replacement from wxxxrrxxxxxxrxx? 3/455 Three letters picked without replacement from {l: 4, i: 1, x: 2, w: 1}. Give prob of picking 1 w, 1 l, and 1 x. 1/7 Calculate prob of picking 3 d when three letters picked without replacement from ccdddhddddddqhdc. 3/14 What is prob of picking 1 f, 1 p, and 2 b when four letters picked without replacement from pkpububbpfb? 3/55 What is prob of picking 3 h and 1 z when four letters picked without replacement from zzhnhhhz? 6/35 Calculate prob of picking 2 c when two letters picked without replacement from ggduqgqqgcgdgdqcgdc. 1/57 What is prob of picking 2 r when two letters picked without replacement from yrryrrryyryy? 5/22 Four letters picked without replacement from {p: 7, d: 5, u: 4}. Give prob of picking 1 p, 1 d, and 2 u. 3/26 Four letters picked without replacement from {r: 6, d: 2, u: 1, h: 1, f: 5, y: 1}. Give prob of picking 1 u, 2 d, and 1 y. 1/1820 Three letters picked without replacement from jjjjykai. What is prob of picking 1 a, 1 y, and 1 j? 1/14 Calculate prob of picking 1 g and 3 r when four letters picked without replacement from rggrrrrrrrgrrrgrrrg. 455/969 Three letters picked without replacement from {l: 2, e: 5, n: 1, k: 2, g: 2, b: 1}. Give prob of picking 3 e. 5/143 Two letters picked without replacement from wtty. What is prob of picking 1 t and 1 w? 1/3 Three letters picked without replacement from ddjdjjdjgddgjdd. What is prob of picking 2 g and 1 j? 1/91 Two letters picked without replacement from {a: 3, o: 4, s: 2, y: 9, k: 1}. Give prob of picking 1 o and 1 k. 4/171 Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, m: 8}. 1/45 Three letters picked without replacement from hssssshshsssssss. What is prob of picking 2 h and 1 s? 39/560 What is prob of picking 2 a when two letters picked without replacement from {h: 2, a: 2, b: 8, m: 1}? 1/78 Two letters picked without replacement from {o: 10, l: 2, s: 3}. What is prob of picking 2 s? 1/35 Calculate prob of picking 1 m and 1 u when two letters picked without replacement from mue. 1/3 Calculate prob of picking 1 q and 1 w when two letters picked without replacement from {v: 1, j: 4, q: 5, w: 10}. 5/19 Four letters picked without replacement from {e: 5, d: 4, l: 1}. Give prob of picking 2 e and 2 d. 2/7 Calculate prob of picking 2 f when two letters picked without replacement from {g: 2, j: 1, b: 1, f: 7, k: 3}. 3/13 Four letters picked without replacement from {b: 4, y: 8, l: 2, h: 5}. What is prob of picking 2 h and 2 y? 70/969 What is prob of picking 1 b and 3 w when four letters picked without replacement from {w: 3, b: 7, a: 8}? 7/3060 What is prob of picking 2 k when two letters picked without replacement from {k: 3, f: 1, t: 2, o: 4, n: 4}? 3/91 Two letters picked without replacement from {x: 3, v: 6, z: 3, g: 1}. What is prob of picking 2 v? 5/26 What is prob of picking 3 o when three letters picked without replacement from {o: 3, l: 11}? 1/364 Two letters picked without replacement from sou. What is prob of picking 1 u and 1 o? 1/3 What is prob of picking 2 x when two letters picked without replacement from xxiiieiiex? 1/15 Calculate prob of picking 2 m and 1 u when three letters picked without replacement from ttumftfttctmm. 3/286 Calculate prob of picking 2 v and 1 k when three letters picked without replacement from ppkpvkvkkppkv. 15/286 Three letters picked without replacement from xxxx. What is prob of picking 3 x? 1 What is prob of picking 1 o and 1 u when two letters picked without replacement from voovuuuu? 2/7 What is prob of picking 1 y and 2 o when three letters picked without replacement from {y: 1, o: 19}? 3/20 What is prob of picking 1 t, 1 v, 1 b, and 1 a when four letters picked without replacement from {a: 1, q: 1, b: 1, v: 1, t: 1, z: 2}? 1/35 Calculate prob of picking 1 h and 1 v when two letters picked without replacement from {v: 7, h: 2, y: 2}. 14/55 Calculate prob of picking 1 j and 2 p when three letters picked without replacement from {j: 3, p: 7}. 21/40 Two letters picked without replacement from rewr. Give prob of picking 1 w and 1 r. 1/3 What is prob of picking 1 l, 1 a, and 1 g when three letters picked without replacement from babbgbbbblbbbab? 2/455 Two letters picked without replacement from eoeeezeezeoe. What is prob of picking 1 o and 1 e? 8/33 What is prob of picking 1 j, 1 c, 1 b, and 1 g when four letters picked without replacement from cbbjbcbbcgggjbb? 6/65 Three letters picked without replacement from edhhjhdedeehhle. Give prob of picking 1 l and 2 d. 3/455 Two letters picked without replacement from {a: 1, q: 3, j: 1}. What is prob of picking 1 j and 1 a? 1/10 Two letters picked without replacement from fvxfxlvfllf. Give prob of picking 2 f. 6/55 Three letters picked without replacement from {f: 2, b: 3, i: 4, j: 1}. Give prob of picking 2 i and 1 j. 1/20 Two letters picked without replacement from {v: 3, h: 3, n: 1}. What is prob of picking 1 n and 1 v? 1/7 Calculate prob of picking 3 j when three letters picked without replacement from {j: 9}. 1 Calculate prob of picking 4 b when four letters picked without replacement from jjbjjbbbbbjjbbjjbjjb. 14/323 Four letters picked without replacement from {a: 2, y: 2, u: 1, e: 1, q: 2, j: 1}. Give prob of picking 1 y, 2 a, and 1 e. 1/63 Four letters picked without replacement from qqqphpxhxgqpqqhppp. What is prob of picking 1 h, 1 x, 1 p, and 1 q? 6/85 Calculate prob of picking 1 i and 1 h when two letters picked without replacement from {i: 4, y: 2, e: 1, m: 8, h: 3, x: 2}. 6/95 Three letters picked without replacement from {l: 2, y: 7, e: 2}. What is prob of picking 1 l, 1 y, and 1 e? 28/165 Two letters picked without replacement from {t: 2, h: 3, w: 2, b: 1, z: 2, v: 2}. What is prob of picking 1 t and 1 h? 1/11 Calculate prob of picking 1 w and 1 h when two letters picked without replacement from hhswwww. 8/21 What is prob of picking 1 v and 1 w when two letters picked without replacement from {w: 1, v: 9, b: 4}? 9/91 What is prob of picking 2 s and 1 j when three letters picked without replacement from urssrvsvzuzsruujss? 5/272 What is prob of picking 1 y and 1 h when two letters picked without replacement from {h: 12, y: 6}? 8/17 What is prob of picking 1 o and 2 s when three letters picked without replacement from tggoss? 1/20 Two letters picked without replacement from gpccggg. What is prob of picking 1 g and 1 p? 4/21 Two letters picked without replacement from {p: 4, d: 6, h: 1, b: 7}. What is prob of picking 2 d? 5/51 Four letters picked without replacement from reururudrrdrreurur. Give prob of picking 2 d, 1 r, and 1 e. 1/170 Calculate prob of picking 1 q and 2 y when three letters picked without replacement from {q: 4, s: 1, y: 5}. 1/3 Calculate prob of picking 3 a when three letters picked without replacement from gauaaguaaaa. 7/33 Four letters picked without replacement from {j: 1,
{ "pile_set_name": "DM Mathematics" }
a = -172 + 176. Let x = a - 0. Solve -5*n + 20 = 0, -25 = -3*q + 6*q - x*n for q. -3 Suppose 6220*t - 6227*t + 14 = 0. Solve -t*k + 3*k = -5*q - 6, -q - 4*k = 5 for q. -1 Suppose 13*o - 1144 + 1105 = 0. Solve 2*h - 7*h - 15 = 2*i, h = -5*i - o for i. 0 Let w(u) = 3*u**3 + 7*u**2 - 6*u - 1. Let l be w(1). Let j = -121 - -130. Solve 0 = 4*y - l*m - 27, -2*y - j + 30 = -3*m for y. 3 Let v = 226 - -62. Suppose -10*n = -2*n - v. Suppose -18*a - n = -24*a. Solve -t - a + 3 = -2*d, 2*d = 2*t for t. 3 Suppose -p + 8 - 12 = 0. Let j be 2/(0 - p/4*1). Suppose 2*u - 3 = -w, j*w + 2 - 8 = 5*u. Solve 0 = -5*h - 3*s - 2 + 4, w*h - s = -10 for h. -2 Let y(p) = p**2 + 11*p + 4. Let g = -72 - -108. Let t = g - 47. Let n be y(t). Solve -4*x - 4 = -n*m, -7 = -m - 2*m + 2*x for m. 5 Suppose 4*w - 188 = -2*s, 4*w - 3 = 1. Let k = -88 + s. Suppose -k + 10 = 3*c. Solve 2 = c*t - 3*n, t + 10 = 2*t + 3*n for t. 4 Let u = 12 + -2. Let r be 28/5 - (-4)/u. Suppose -3*a - 347 = 4*k - 345, 0 = a + k. Solve a*y = 3*z + 2*z - r, z = -y - 3 for y. -3 Let a = 1122 + -1121. Solve 0 = -5*n - i - 11 + a, 0 = 3*i + 15 for n. -1 Suppose 4*g + 0 = -3*k - 2, -3*k = 3*g - 3. Suppose k - 48 = -3*f. Let n = -12 + f. Solve -t + 1 = -u - 2*t, -2*t + 18 = -n*u for u. -5 Let h(o) be the third derivative of -o**4/24 + 4*o**3/3 + 3*o**2. Let c be h(8). Let v be (c/(2/2)*-1)/(-1). Solve v*f - 9 = 3*f - 3*s, 5*f = -4*s + 21 for f. 1 Suppose q - 6*q + 16 = f, 3*q - 10 = -f. Let h be (-10)/q*(-18)/15. Suppose -618*a = -3761 + 53. Solve 2*n - 4*o = -h, 3*n - 3 = o + a for n. 4 Suppose 19 = 3*c + 4*i, 2*i = 2*c + 412 - 420. Solve 21*p - 18*p - 2*v = -3, 4*v = 5*p + c for p. -1 Let l be -2*(-18)/(-16)*980/(-147). Solve 5*k = 2*x - l, -5*x - 3*k - 9 = -3*x for x. 0 Let m(c) = -1941*c - 7759. Let l be m(-4). Solve 0 = l*z + 5*x - 10, -z = -x + 2 + 2 for z. -1 Suppose 3*c - 49 = -2*v, 7*v + 4 = 9*v. Solve 0 = z - j + 2 - 0, -5*j = -c for z. 1 Let y be 1*(-4)/(2*-2). Let x(u) = -3*u**2 + 23*u + 11. Let k be x(8). Suppose -k*o = 9, 4*o = -v + y - 4. Solve 5*m - 2 = -5*f - 12, -3*m + v = 0 for f. -5 Let u be (-22 + 18)/((-8)/22). Suppose 2*w + 0*w - 4*c = 4, 3*w + 3*c + 3 = 0. Solve 0 = y - w*j + j - 7, 5*y - 3*j = u for y. 4 Let b(w) = w**2 + 2*w - 7. Let q be b(11). Suppose -5*h = q + 89. Let z = h + 65. Solve -5*n = 3*m + 10, 0*m = -5*n + 3*m + z for n. 1 Suppose -11*y = 98 + 331. Let p = y + 39. Let n be (15 + 0 + -1)/(1 - p). Solve 2 = 2*r + 2*b, -n + 5 = -3*r + 3*b for r. 2 Suppose 6*f - 4*f - 5*u = 116, -5*f = -u - 336. Suppose 19*q - 8 - f = 0. Solve -b = -4*d - 23, 2*b = -q*d - 0*b - 14 for d. -5 Let l(t) = -t**3 - 7*t**2 + 5*t - 4. Let o be l(-8). Suppose 2*c - 2*b - o = 0, 2*c + 4*b - 1 = -11. Solve -5*p - 16 = w, -w + c*w = -3*p - 13 for w. -1 Let h be (-8)/((-48)/(-27) + -2). Let g be 6/(-15) - h/(-15). Let a = -20 + 23. Solve -5*y - k + 2 = -2*y, -g*y - a*k = -6 for y. 0 Suppose 3*b - 55 = 5*t, 5 = b - 0*t + t. Solve -6*j + 2*d - b = -2*j, j - 2*d + 1 = 0 for j. -3 Let w(t) = -18*t - 14. Let c be w(-3). Let a = c - 38. Suppose -2*r - 50 = -4*y, 0 = 5*y - 2*r - 0*r - 64. Solve -a*f - k = 3*k - y, -4*k = -4*f - 8 for f. 1 Let j be (-1 - 1106/4)*(7 + -5). Let s = -551 - j. Solve -r = 4*l - 23, -4*l - s*r - r + 35 = 0 for l. 5 Suppose 5*s - 159 = -259. Let y be (-2)/(8/1)*s. Solve a = 5*f + 9, 0 = -y*a - 5*f - 10 - 5 for a. -1 Let s be (-50)/(-3) - (-4)/(-6). Suppose -3*j - s = d, -2*d + 4*j - 6 = -14. Let u be d*(-2 - -1) - 2. Solve h - 6*h = -u*m - 3, -3*m = 2*h - 5 for h. 1 Suppose -44*i = -43*i - 2. Suppose 46 = -4*n - 2*o, -2*n = -0*n + i*o + 26. Let f = 14 + n. Solve -f*t + 3*x = 21, 5*t - 3*t + 3 = -x for t. -3 Let v be -101 + ((-3)/6)/((-3)/(-24)). Let o be (-16)/(-10) + 63/v. Solve 5*h - n - 7 = -o, -5*h + 14 = n for h. 2 Suppose 0 = 10*j - 25*j - 82*j. Solve 11*u - 6*u + x + 5 = j, 17 = 4*u + 5*x for u. -2 Suppose 19*d - 396 = -179*d. Solve d*c - c = -2, -2*c = 5*r - 21 for r. 5 Let r = -742 - -754. Suppose 26*l = 22*l - 4, -2*l = d - r. Solve -c + 2*o + 4 = 0, -4*c - o - o - d = 0 for c. -2 Let r = -4131 - -4133. Solve -2*c + 16 = -94*y + 99*y, -r*y = c - 7 for c. 3 Let j = 104 - 95. Suppose -l + 800 = j*l. Let z = -76 + l. Solve -4*c + 5*c - 2*k - 8 = 0, -c - z = 2*k for c. 2 Suppose -46*g - 42*g - 19 + 371 = 0. Solve 10 = g*c + 3*x, 19*c - 5*x = 23*c - 14 for c. 1 Let p be -1*(6 + -19) - (1 + 3). Solve -3*i - p = -2*x, -x = -2*i - 26 + 21 for i. -1 Let a be 637/26 - 10/4. Solve 4*j = 2*g + a, -8*g = -6*g + 10 for j. 3 Let y(s) = s**2 - 8*s - 27. Let q(l) = -12*l**3 - 2*l**2 - l. Let c be q(-1). Let u be y(c). Suppose 5*z = 7*z - u. Solve t + 3*b = -5, 2*b - b = t - z for t. 1 Suppose 0 = -24*l + 25*l - 305. Suppose 0 = 4*o - 2*u - 398, o + 5*u - l = -2*o. Let w = -97 + o. Solve p - 5*r + 22 = -0*r, -w*r = p - 18 for p. 3 Let i(l) = l**2 + 48*l + 5. Let h be i(0). Solve 8*b = 5*k + 49, -7 = -4*k - h*b - 12 for k. -5 Let s(t) = -2*t**3 + 26*t**2 - 26*t + 30. Let y = 437 - 425. Let g be s(y). Solve 3*w = g*w + i - 13, 5*w - 2*i = 18 for w. 4 Suppose -10*r + 201 - 131 = 0. Suppose 3*f - 25 = -5*x, 0 = -5*x + r*f - 2*f - 15. Solve 4*i - 8 = -4*s, 0 = x*s - 9*i + 7*i - 16 for s. 5 Let p(c) = 3*c + 203. Let h(x) = -6*x - 201. Let j(a) = 5*h(a) + 4*p(a). Let g be j(-11). Solve -k + q = 9, 2 = 4*k - g*q + 43 for k. -4 Let q be (-225)/(-135)*(0 + 3). Solve q*r + p - 28 = -0*p, 5*r = -2*p + 31 for r. 5 Let r(z) = 24*z - 41 - 23*z**2 + 15*z**3 - 26*z**3 + 20*z + 12*z**3. Let g be r(21). Solve 0 = 4*v - 2*j, g = 5*v - 3*j + j for v. 1 Let p = -424 + 629. Let d = -203 + p. Solve 3*r - 5*m - d = -3*m, -4*r = 4*m + 4 for r. 0 Let t(v) = -3*v**3 - 17*v**2 - 19*v. Let a be t(-1). Solve -3*n - a*s - 13 = 0, -2*n - 2*n + 4*s = -4 for n. -1 Let s(u) = -3*u - 2. Let f be s(6). Let c = 30 + f. Suppose -1057*o = -527*o - 542*o + 72. Solve 4*j + c = -3*h + o*j, 0 = h + 5*j + 9 for h. -4 Suppose 3*h = 0, -5*h = -2*d + 6 + 4. Suppose -j - 40 = -5*m - 5*j, -4*j = -d*m. Solve a = m*f + 15, -a - 3*f - 11 - 9 = 0 for a. -5 Let r = 4390 - 4383. Solve 4*v - 16 = 5*p, -p - 4*v - r = 1 for p. -4 Suppose -2*x + 345 = 335. Suppose -g = 3*m - 14 + 3, 0 = 5*m + x*g - 35. Solve 0*v = 5*p - 2*v - 18, -m*v - 14 = -4*p for p. 4 Let l be 3220/322*3/10. Solve 0 = g + 5*s, 6*g = 4*g - l*s for g. 0 Let c = 267 - 276. Let i be (-4)/(-10) - c*(-4)/90. Solve -5*z = g + g - 11, -4*g - z - 5 = i for g. -2 Suppose 10*x + d = 16*x - 7, -9 = -2*x - d. Solve 14 = 7*r - 4*r + x*o, -2*o - 14 = -4*r for r. 4 Let z = -506 - -726. Let u be (z/(-35))/((-12)/42). Solve 0 = -4*n - 2*y + u, -4*n - 4*y + 32 = -0*y for n. 3 Let j be -4 - (-1 + 2)*-4. Suppose j = -6*r + 16 + 14. Solve -3*z = r*t + 3, 0 = -5*t + t - 2*z - 2 for t. 0 Let s be 5/(20/126*((-42)/8 + 7)). Solve -13*b = -8*b + 2*p - 5, -b + 3*p + s = 0 for b. 3 Suppose 146*c + 259 = 843. Solve 2*g - 7 = 5*d + 4*g, 4*d + c*g = -20 for d. 1 Let g be (-70)/(-105)*(-72)/2. Let v be (g/9)/4 - 496/(-24). Solve -3*c + v = 4*n, 3*c = -3*n - 0*c + 18 for n. 2 Let k(l) = -66*l**2 + 722*l + 48. Let r be k(11). Solve 0 = 3*d + r*x - 1, -80*d = -83*d - 2*x - 1 for d. -1 Let h be 0*(-8)/32 + -261. Let k = h + 269. Solve 4*m + 7 = -3*r + k*m, 1 = m for r. -1 Suppose 0 = 2*i - 4, -4*c - 3*i - 15 = -57. Solve -65*f + 4*j = -61*f, 0 = -5*f - 4*j + c for f. 1 Let o be (-3 + 39 - -5)*-1. Let g = -38 - o. Solve 0 = g*a - 2*q - 3, -2 - 13 = -4*a - q for a. 3 Let a be 57/76 + 1410/8. Let q = -162 + a. Solve 3*f - z - q = -0, -2*z = f - 5 for f. 5 Let a(t) = t**3 + 6*t**2 + 12*t + 37. Let z be a(-5). Solve -4*q = z*f + 8 - 4, -4*q = -4*f - 8 for q. 0 Let h be (-42)/(-420) + (-1356)/80*-2. Solve h*u - 29*u - 4*d + 20 = 0, 3*u + d = 5 for u. 0 Suppose 0*k = 2*k - 10. Let w = -3 + 7. Let y(f) = -2*f**3 - f**2 + 89*f - 12. Let x be y(-7). Solve -x*z - k*n + 15 = z, w*z + 15 = 5*n for z. 0 Let j be (6 + (-328)/56)/(5/175). Solve 0 = -4*v - f + 8, -38 = -v - j*f - 17 for v. 1 Suppose -4*a + 14 = 5*c - 18, -4*c + 1 = -5*a. Let b be ((-2)/3)/((-12)/108*6) - -20. Solve -4*t = -8, -a*t = -3*y + 6*y - b for y. 5 Let c be 0*(-2 - (1 - 2)). Let i be (-4 + (-7 - -9))*-4*3/12. Solve c*n = -2*n - a - 1, -i*a = 3*n + 2 for n. 0 Suppose 5*p + 13*m = 22*m - 36, m - 4 = -3*p. Solve -o - 14*v + 10*v - 20 = p, 25 = -5*v for o. 0
{ "pile_set_name": "DM Mathematics" }
, 20 Put -6, -0.1, 4 in descending order. 4, -0.1, -6 Sort -19, 5, 3, -4 in decreasing order. 5, 3, -4, -19 Sort 2, 1, -4, 3, -18 in increasing order. -18, -4, 1, 2, 3 Sort 1, 5, -1/68. -1/68, 1, 5 Put -0.1, -24, -2/7, 3/4 in ascending order. -24, -2/7, -0.1, 3/4 Put 0, 4, -1 in descending order. 4, 0, -1 Sort 1, -12, 3, -41 in descending order. 3, 1, -12, -41 Sort 0.6, -2, -1/250, 0.4. -2, -1/250, 0.4, 0.6 Sort 1, 5, -60, 4, 2. -60, 1, 2, 4, 5 Sort -12921, 4, -2 in decreasing order. 4, -2, -12921 Sort 0.5, 1/5, 2, 3/29, 0 in descending order. 2, 0.5, 1/5, 3/29, 0 Sort 1, 7, 5, -5 in descending order. 7, 5, 1, -5 Sort -1, 2/7, -61 in descending order. 2/7, -1, -61 Sort 19, -4, 4, 2 in descending order. 19, 4, 2, -4 Put -2, 0, -1, -377 in increasing order. -377, -2, -1, 0 Sort -2, -25, -4, -27 in descending order. -2, -4, -25, -27 Sort -0.3, -15, -3 in decreasing order. -0.3, -3, -15 Sort -10, -2, -3, -5, -9. -10, -9, -5, -3, -2 Put -3, -4, 32 in decreasing order. 32, -3, -4 Put -4, 5, -5, 2, -12 in descending order. 5, 2, -4, -5, -12 Sort -3, 15, -4, 24/5 in decreasing order. 15, 24/5, -3, -4 Sort -13, -4, -3, -5, 5 in increasing order. -13, -5, -4, -3, 5 Sort 4, 19, -2, 0.04. -2, 0.04, 4, 19 Sort -11, 38, 2/3. -11, 2/3, 38 Sort -0.3, 0.7, 35, -9 in descending order. 35, 0.7, -0.3, -9 Sort -1, 7, 4, 19, 0 in ascending order. -1, 0, 4, 7, 19 Put -2, -164, 5 in decreasing order. 5, -2, -164 Sort -88, 1, 40 in decreasing order. 40, 1, -88 Sort 1, -5, -3, -6 in increasing order. -6, -5, -3, 1 Sort -15, 5, 11 in ascending order. -15, 5, 11 Sort 9, -4, -0.5, 1/16 in descending order. 9, 1/16, -0.5, -4 Put -389, 2, -3 in descending order. 2, -3, -389 Sort 13/6, 3/2, -5. -5, 3/2, 13/6 Put 1/19, 5/3, -4/7, -1 in increasing order. -1, -4/7, 1/19, 5/3 Put -4, -5, -11 in increasing order. -11, -5, -4 Put -4, -0.2, -2/7, 18 in increasing order. -4, -2/7, -0.2, 18 Sort 1, 3/5, -2, -5, 5. -5, -2, 3/5, 1, 5 Sort -2/3, -3, 10, -1. -3, -1, -2/3, 10 Put 4, 31, -3, -12 in descending order. 31, 4, -3, -12 Put -3, -6, -61, 5 in ascending order. -61, -6, -3, 5 Sort -1/47, -4, 0.14, -0.2 in descending order. 0.14, -1/47, -0.2, -4 Sort -2/9, 2/7, 0.09, 4/3, 2.3 in decreasing order. 2.3, 4/3, 2/7, 0.09, -2/9 Put 2/169, 0, 4 in decreasing order. 4, 2/169, 0 Put 0.3, -0.13, 1/9 in decreasing order. 0.3, 1/9, -0.13 Sort -1098, 0, 2, 1 in decreasing order. 2, 1, 0, -1098 Sort 5, -3, -4, -5 in decreasing order. 5, -3, -4, -5 Sort 2/5, -4, 437. -4, 2/5, 437 Sort 3, -30, -8 in increasing order. -30, -8, 3 Put 4, 0, -110, 2 in descending order. 4, 2, 0, -110 Sort -16/3, 20, 2/3, 2 in decreasing order. 20, 2, 2/3, -16/3 Put 3, 4, 0, 11 in ascending order. 0, 3, 4, 11 Put 6, -4, -2 in ascending order. -4, -2, 6 Sort -5, -0.5, 4, -4 in decreasing order. 4, -0.5, -4, -5 Sort -5, 1, 0.5 in descending order. 1, 0.5, -5 Put 0.5, 1.7, -3, -0.5 in increasing order. -3, -0.5, 0.5, 1.7 Sort 2, 0.1, 9, -4/7 in increasing order. -4/7, 0.1, 2, 9 Put 9, 3, 5, -2, -14 in increasing order. -14, -2, 3, 5, 9 Sort -2/7, 4, -82 in descending order. 4, -2/7, -82 Sort 4, -34, 19, -1 in descending order. 19, 4, -1, -34 Put 3/2, 11, -0.5, 75 in descending order. 75, 11, 3/2, -0.5 Sort -9, -4, 5. -9, -4, 5 Sort -0.6, 2, -4/5, 0.3 in ascending order. -4/5, -0.6, 0.3, 2 Put 0, -2, 16 in ascending order. -2, 0, 16 Sort -1/3, -0.01, 186, -5 in descending order. 186, -0.01, -1/3, -5 Put -123, -5, 2, 4 in decreasing order. 4, 2, -5, -123 Put 5, -4, 1/2, -1/5 in ascending order. -4, -1/5, 1/2, 5 Put 1, 2, 0.9, 2/5 in increasing order. 2/5, 0.9, 1, 2 Sort -4, -52, 3 in increasing order. -52, -4, 3 Put -0.06, 0, -4, 2/13 in descending order. 2/13, 0, -0.06, -4 Sort -0.1, -3, -0.12, 1.7 in descending order. 1.7, -0.1, -0.12, -3 Sort -11, 0, -3, -54 in descending order. 0, -3, -11, -54 Sort -4, -5, 10, 4 in decreasing order. 10, 4, -4, -5 Put -35, -1, 8, -5 in decreasing order. 8, -1, -5, -35 Sort 18, 5, -31 in decreasing order. 18, 5, -31 Put 150, 0, 3, 1 in ascending order. 0, 1, 3, 150 Sort -4, 0.527, 1, -0.3. -4, -0.3, 0.527, 1 Sort 7, -13, -4, 1, -5. -13, -5, -4, 1, 7 Sort 2, -0.5, -1/7, -3, -2/131 in decreasing order. 2, -2/131, -1/7, -0.5, -3 Sort 7/3, -2/13, 1/2 in descending order. 7/3, 1/2, -2/13 Sort 2/5, 0.1, -9, -1, 98 in decreasing order. 98, 2/5, 0.1, -1, -9 Sort 5/2, -5, 1/5, -81 in decreasing order. 5/2, 1/5, -5, -81 Put -1, -65, -0.37, 3, -2 in increasing order. -65, -2, -1, -0.37, 3 Put 0, -5, 23 in increasing order. -5, 0, 23 Sort -1, 277, 5, 2 in decreasing order. 277, 5, 2, -1 Sort -3, 1, 7, 4, 3. -3, 1, 3, 4, 7 Sort -5, -4, 49, 1 in increasing order. -5, -4, 1, 49 Sort -14, -5, -18, 0 in increasing order. -18, -14, -5, 0 Put 1, 0.3, -3/2, 1/4 in decreasing order. 1, 0.3, 1/4, -3/2 Sort 5, -3, -809, 1. -809, -3, 1, 5 Put 3, -8, 3/10, 2/5 in ascending order. -8, 3/10, 2/5, 3 Put 0.01, -3, -4/5, 5, 10 in descending order. 10, 5, 0.01, -4/5, -3 Sort 1, -3, -2, 279, -5 in ascending order. -5, -3, -2, 1, 279 Sort -1, 1, -0.4, -29 in increasing order. -29, -1, -0.4, 1 Sort 4, -8, 3, -1/4 in descending order. 4, 3, -1/4, -8 Put 5, 8, 2, -12 in ascending order. -12, 2, 5, 8 Put -2, 0.09, 1/10, 1/6, -10 in descending order. 1/6, 1/10, 0.09, -2, -10 Put 0.046, 5, 9, -3 in decreasing order. 9, 5, 0.046, -3 Sort -5, -170, -3. -170, -5, -3 Sort 8/13, 0.4, -3, 1 in descending order. 1, 8/13, 0.4, -3 Put -0.1, -2, -0.08, 2/15 in descending order. 2/15, -0.08, -0.1, -2 Put 5, -10, -5 in decreasing order. 5, -5, -10 Sort 1, 0, 2/125, -3, -5 in increasing order. -5, -3, 0, 2/125, 1 Sort 0, 18, -4 in decreasing order. 18, 0, -4 Sort -1, 3, -12, -3, -4 in descending order. 3, -1, -3, -4, -12 Sort 5, 4, -4, 1, 3 in increasing order. -4, 1, 3, 4, 5 Sort 81, 2, 8 in descending order. 81, 8, 2 Put 75, 3, -8 in increasing order. -8, 3, 75 Put 0, -5/7, 0.1, 4, 2/9 in decreasing order. 4, 2/9, 0.1, 0, -5/7 Put 1/8, 0.5, -7, -111 in ascending order. -111, -7, 1/8, 0.5 Put -3, -10, -4, 9, 3 in descending order. 9, 3, -3, -4, -10 Sort -3/5, -5, 1/3, -69, 5 in increasing order. -69, -5, -3/5, 1/3, 5 Sort -4, -3, 3, -1, -614 in decreasing order. 3, -1, -3, -4, -614 Sort 50, 3/2, 4 in ascending order. 3/2, 4, 50 Sort -1, 147, -4 in decreasing order. 147, -1, -4 Sort -2/13, -3, -4, -1, -6 in ascending order. -6, -4, -3, -1, -2/13 Put 5, -1/7, -0.09, 0.05 in ascending order. -1/7, -0.09, 0.05, 5 Put -1/2, 2, -26 in decreasing order. 2, -1/2, -26 Sort 22, -4, 9 in ascending order. -4, 9, 22 Sort 15, -4, 1, -6 in ascending order. -6, -4, 1, 15 Sort -6, 12, 2, 5, -1 in decreasing order. 12, 5, 2, -1, -6 Sort 0.4, -0.2, -60, -2, 2 in decreasing order. 2, 0.4, -0.2, -2, -60 Put 2, -8, -2, 5 in descending order. 5, 2, -2, -8 Put -1, -82, -5, -3, -22 in decreasing order. -1, -3, -5, -22, -82 Put 4, -6, 0, -19 in ascending order. -19, -6, 0, 4 Sort -1/5, -5, 1/15, 2/11, 3 in ascending order. -5, -1/5, 1/15, 2/11, 3 Sort 5, -3, -5, 1 in ascending order. -5, -3, 1, 5 Put 2, 412, -0.5, 0.1 in ascending order. -0.5, 0.1, 2, 412 Sort 5, 2, 3, -109 in decreasing order. 5, 3, 2, -109 Sort 1, -5, 0, 2 in descending order. 2, 1, 0, -5 Sort 70, 1, -5 in ascending order. -5, 1, 70 Put 63, -0.5, 2, 4, -1/3 in increasing order. -0.5, -1/3, 2, 4, 63 Sort 2/5, -0.5, 2, -244, 0 in ascending order. -244, -0.5, 0, 2/5, 2 Sort -5, 8, 2/3 in increasing order. -5, 2/3, 8 Sort -5, 0, -7, -3, -10 in decreasing order. 0, -3, -5, -7, -10 Put 41, 2, -1 in ascending order. -1, 2, 41 Sort -4, -92, 4. -92, -4, 4 Put 98, 0, -1/9, 0.1 in descending order. 98, 0.1, 0, -1/9 Sort -21, 163, 1 in increasing order. -21, 1, 163 Put 1, 344, -5, -3 in increasing order. -5, -3, 1, 344 Put -3, -5, -94 in ascending order. -94, -5, -3 Put 1, 2, -6, -1 in ascending order. -6, -1, 1, 2 Put -169, 5, 3, 4 in descending order. 5, 4, 3, -169 Put 4, -0.4, 2, 212 in decreasing order. 212, 4, 2, -0.4 Sort 3, -2, 5, -5 in decreasing order. 5, 3, -2, -5 Put 138, 4, 6 in ascending order. 4, 6, 138 Sort -5, 430, 1, 3 in decreasing order. 430, 3, 1, -5 Put -21, -4, 43, 4 in decreasing order. 43, 4, -4, -21 Sort -0.2, 1.19, 0.5, 2, -2/7 in decreasing order. 2, 1.19, 0.5, -0.2, -2/7 Put -1.36, -2/9, -1 in increasing order. -1.36, -1, -2/9 Put -0.21, -2/13, -1 in ascending order. -1, -0.2
{ "pile_set_name": "DM Mathematics" }
5) in the form s + g*o and give g. -1 Express 2*t**3 + 3 + t - 913*t**2 + 913*t**2 - 3*t**4 as x + d*t + h*t**3 + v*t**2 + k*t**4 and give x. 3 Rearrange d + 0*d**3 + d + 7*d**3 to s*d**3 + u + t*d + w*d**2 and give t. 2 Rearrange (-11 + 7 - 9)*(2*q - q + 0*q)*(1 - 1 + 3) to the form t*q + f and give t. -39 Rearrange (-3 + 2 + 0)*(3*w**2 - 6*w**2 + w**2)*(-4*w + w + 2*w) to the form d*w**2 + v*w + u + o*w**3 and give u. 0 Rearrange -2*p - 2*p + 0*p + (-6 - 5 + 4)*(-4*p + 2*p + 5*p) + 0*p + p - 2*p to the form q + h*p and give h. -26 Rearrange (p + p - p)*(0*p - p + 0*p) - p**2 - 4 + 4 + 320 + 7*p**2 - 641 + 319 to r*p**2 + z*p + n and give n. -2 Rearrange -25 - 41*g + 40*g - 39 to m*g + w and give w. -64 Express 5*y**2 + 4*y**2 - y**2 as u*y**2 + j + m*y and give u. 8 Express -15*x**2 + 8*x**2 + 4*x**2 + x**3 as d*x**3 + j*x**2 + h + i*x and give i. 0 Express (6 - 7 + 20 - 3*v)*(0 - 2 + 4) in the form t + s*v and give t. 38 Rearrange -10 - 2*o**2 - 3*o + 2 - 7 to the form d*o + v + i*o**2 and give i. -2 Rearrange 3*w**3 - 3 + 6*w**3 - 4*w**2 - 2 - 8*w**3 to the form x*w + g + q*w**2 + b*w**3 and give b. 1 Express 4 - 3*z + 4 - 11 - 2*z as b + x*z and give x. -5 Rearrange -4*s + 1 + 15*s**2 + 4*s + s - 3*s to the form q + j*s**2 + p*s and give j. 15 Rearrange 52*g**3 - g + 5*g**2 + g**4 - 52*g**3 to b + v*g**3 + y*g**2 + s*g**4 + l*g and give s. 1 Express -2*p - 7 + 7*p - 4*p - 4 in the form v + b*p and give b. 1 Express (-2*n**2 + 4*n**2 + n**3 + 3*n - 5*n)*(5*n + 6*n - 8*n) in the form l*n + m + g*n**3 + w*n**2 + v*n**4 and give m. 0 Express -7*x + 63 - 63 as v*x + y and give v. -7 Rearrange (-4*f - 2*f + 5*f)*(2*f**2 - 2*f**2 - 6*f**2 + (f**2 - 4*f**2 + 0*f**2)*(1 + 2 - 2)) to the form c*f**2 + a*f**3 + m + l*f and give a. 9 Express 62*z - 42*z + 15*z as q*z + v and give v. 0 Rearrange (b**4 + 3*b**4 - 6*b**4)*((-2 + 0 + 3)*(-5 + 1 + 2) + 3 - 6 + 2 - 5 + 4 + 3) to the form m*b**4 + k + t*b + v*b**3 + s*b**2 and give m. 2 Express -3*x**3 + 457*x - 3*x**2 - 457*x in the form c + u*x + i*x**3 + k*x**2 and give u. 0 Express 1 - s**3 - 13*s + 15*s + 0 in the form a + y*s + n*s**2 + w*s**3 and give y. 2 Rearrange (-4*d**2 - 11 + 11)*(16 + 2 - 3) to i*d + l + r*d**2 and give r. -60 Express -10 - 2*z**3 + 10 - 4*z**2 as q*z + n + p*z**3 + x*z**2 and give p. -2 Express -7 + 7 - 4 + 3*m**2 in the form h*m**2 + q + v*m and give q. -4 Express (-8*z + 2*z - 4*z)*(2 + 0*z + 3*z - 4*z) in the form y + f*z**2 + w*z and give f. 10 Express (-14 + 9 + 11)*(0 - 2*d + 2 - 1 + 6*d**2) as s + u*d**2 + n*d and give u. 36 Express 3*a**3 - 2*a**3 - 2*a**3 + (-a**2 + 0*a**2 - a**2)*(1 - 2 + 2)*(-13*a - 12*a + 9*a) as x*a**3 + d*a**2 + i*a + k and give x. 31 Rearrange -19 - 5 + 41 + 2*u**3 to the form q + x*u**2 + m*u + w*u**3 and give w. 2 Rearrange 2*w**2 + 5 + 3*w**3 - 3 + 2*w**3 - 2*w**3 to r + n*w + y*w**3 + d*w**2 and give d. 2 Express (-176*l + 26*l + 64*l)*(0 - 2 + 4 - 1 - 1 + 4 + (-3 + 1 + 0)*(-6 + 4 + 0) - 4 + 1 + 2) in the form c + p*l and give p. -602 Rearrange -3 + 5 + 22*j**2 - 62*j**2 to t*j + p*j**2 + k and give p. -40 Express 2*v**2 + 9 + 2 - 4 + 5*v - v as g*v**2 + f*v + n and give f. 4 Rearrange -1 - 1794*n + 1794*n + 30*n**2 to z*n**2 + u*n + p and give z. 30 Express -70 + 41 + 0*a + 2*a**3 + 35 + 2*a**2 - a as n*a**3 + r + f*a**2 + j*a and give r. 6 Express -5*z + 3*z**4 - 34*z**3 - 2*z**2 + 3*z + 31*z**3 - 1 as y*z**2 + q*z + r + c*z**4 + j*z**3 and give j. -3 Express -2*d + 10 + 0*d + 0*d - 3 in the form z + q*d and give q. -2 Express 3*r**4 - 1 + 2 - 5*r**2 + r**4 - 2*r**4 as u*r**2 + m*r**3 + n*r**4 + s + w*r and give u. -5 Express -5*m**2 - 3*m**2 + m**2 + 3*m**2 + 13*m in the form i + g*m + v*m**2 and give v. -4 Rearrange -63*a**3 + 34*a**3 + 46*a**3 + (-1 + 5 - 3)*(3*a**3 + a**3 - 6*a**3) + 2 - 2*a**3 - 2 to the form y*a**3 + x + h*a**2 + s*a and give y. 13 Rearrange -6*c**2 + 34*c - 2 - 34*c + (1 - 4 + 2)*(0*c**2 - c**2 - 2*c**2) to the form y*c**2 + d*c + r and give r. -2 Rearrange -4*l + 2*l - 4*l + 0 - l + 0 + (2*l - 3*l - l)*(0 - 1 - 1) + 4*l - 4*l + l + 0*l - 2*l + l + l + 5*l - 5*l to c*l + x and give c. -2 Express -1 - 3 + 4 - 41*a as u*a + s and give u. -41 Rearrange 25*r**3 + 1 - 4*r - 27*r**3 - 6*r**4 + 3*r**4 to g*r + o*r**2 + z + i*r**4 + l*r**3 and give z. 1 Express (0 - 3 + 2)*(6*s - s - s)*(-16 + 12*s**2 + 16) in the form t + b*s**2 + g*s + l*s**3 and give l. -48 Express (-2*c**3 + 5*c**3 - 4*c**3)*(71 - 40 - 36) as g + u*c**2 + j*c**3 + k*c and give j. 5 Rearrange v + 10 - 10 + v**4 - 2*v**2 to i + l*v**3 + k*v**4 + m*v**2 + c*v and give c. 1 Express (-5 - 6 + 3)*(-r**3 + 4 - 4) as n + u*r**2 + o*r + h*r**3 and give h. 8 Express -78*x - x**4 + 153*x - 3*x**3 - 77*x as a*x**4 + f*x**3 + w + z*x + q*x**2 and give f. -3 Express (0*z + 2*z - z)*(-3*z**3 + z**3 + 0*z**3) + 242 - 242 + 31*z**4 + z as g*z**2 + l*z**3 + c + d*z + k*z**4 and give d. 1 Express (2 - 1 + 0)*(4*i - 6*i + 10*i)*(20*i**2 - i**2 + i**2) in the form m*i**3 + a + y*i**2 + q*i and give m. 160 Rearrange -9 + 0 + 15 - 4*m to the form u + n*m and give u. 6 Express ((2 - 2 + 1)*(-5 - 3 + 5) + 9 - 16 - 18)*(-t + 0*t + 3*t) as y + r*t and give r. -56 Rearrange (4 + 2 - 4)*(2*f + f - 2*f + (-1 - 68 - 12)*(0*f - f + 3*f)) to the form y + t*f and give t. -322 Express 7 + 11*n - 7 - 32*n in the form q*n + a and give q. -21 Rearrange -14*n**3 + 14*n**3 - 3 - 2*n**4 - 2*n to the form g*n**2 + k*n**4 + b + q*n**3 + l*n and give k. -2 Express -45*p**2 + 16*p**2 - 3*p**4 + 17*p**2 + 2 + 8*p**2 as w + z*p**3 + a*p**4 + m*p**2 + i*p and give a. -3 Express -z + 5*z**4 + 2*z**2 - 9*z**3 + 0*z**2 + 13*z**3 - 6*z**3 in the form l*z + s*z**4 + x + t*z**2 + o*z**3 and give o. -2 Rearrange (3*c**2 - 25*c**3 - 3*c**2)*(-1 - 2 + 4) to v*c + o + h*c**3 + i*c**2 and give h. -25 Rearrange (-5 + 18 - 12 + 126*g)*(4*g**2 - g**2 - 2*g**2) to h*g**2 + u*g**3 + d*g + v and give h. 1 Express (11 + 4*d**2 - 11)*(-3*d + 4*d + d) + 0 + 0 - 2*d**3 in the form c*d**3 + n*d**2 + t + i*d and give i. 0 Express -5 + 2*s**2 + 5 + (-3 - 1 + 3)*(-2*s**2 + 4 - 4) + 1 - 1 - s**2 + (-4*s**2 + 3*s**2 - s**2)*(1 + 0 - 2) in the form x*s + v + b*s**2 and give b. 5 Express -6*m - m**3 + 0*m**3 + 24*m + (0*m - 2*m + m)*(0 + m**2 + 0) + 3*m**2 - 2*m**3 - 3*m**2 in the form q*m**3 + u*m + s*m**2 + b and give u. 18 Rearrange (n**2 - 2*n**2 - 2*n**2)*(-3 + n + 3)*(-3 - 4 + 5) to x + f*n + v*n**2 + k*n**3 and give k. 6 Rearrange o**4 + o**2 - o**3 + 3*o**3 - 2*o + o**2 - 7*o**2 to d*o**2 + p*o**3 + n + y*o + z*o**4 and give d. -5 Express -28*g**2 + 0*g**2 - g**2 in the form i*g**2 + v*g + x and give i. -29 Rearrange 2*p**3 + 3*p**3 - 2*p**3 - p - 2*p to the form c*p**2 + y*p + b*p**3 + m and give b. 3 Express (-3*x + 5*x + 2*x + (-2 + 2 - 2*x)*(3 + 1 - 6))*(0 - 1 + 0)*(3 - 1 - 1) in the form f + b*x and give b. -8 Express (3*o**3 - 4*o**3 - o**3)*(-2 - 1 + 5)*(o - 6*o + 3*o) as f*o**2 + l*o**3 + a*o**4 + r*o + y and give a. 8 Rearrange (-1 + 4 - 4)*(2*k + 1 - 1) + 6*k - 3*k + 1 - k - 8*k + 2*k + 3*k + (-6*k + 3*k - k)*(-3 + 5 + 0) - 2 - 2*k + 2 to f + v*k and give f. 1 Express (-2*d - d + 4*d)*(-4 + 0 + 5) - 3 - 3*d + 3 + 7 + 5*d - 5 + 0 in the form o + m*d and give o. 2 Express ((2 - 7 + 3)*(-3*d**2 + 3 - 3) + 0*d**2 - 2*d**2 + 0*d**2)*(2 + 2 - 3) as b*d**2 + g + n*d and give n. 0 Rearrange 151*b + 39*b - 38*b to o*b + t and give o. 152 Express (10 + 57 - 14)*(-4*d**2 + 4*d**2 - 4*d**4) in the form y + n*d**4 + j*d + s*d**3 + x*d**2 and give s. 0 Express -9*f + 0*f + 25*f in the form v + q*f and give q. 16 Rearrange (3 - 1 + 0)*(-a - a + 4*a)*(-16 + 28*a**2 + 16) to the form j*a**3 + o*a + q + i*a**2 and give j. 112 Rearrange 13*d - 6*d + 11 - 6*d + d**3 to s + j*d**3 + x*d**2 + u*d and give s. 11 Rearrange -4*r**2 - 4 - 1 + 3*r**2 to the form j*r**2 + t*r + m and give m. -5 Express 4*c + 2*c - 4*c + (-4 + 5 + 0)*(5 - c - 5) - 1 - 9*c + 4*c + 3*c as t + p*c and give t. -1 Express (38 + 53 - 3)*(1 + 1 - 4)*(5*a**3 - 3*a**3 - a**3) in the form c + r*a**2 + z*a**3 + y*a and give z. -176 Rearrange -8 - 21*i + 21*i + 3*i**2 to the form q*i**2 + m*i + f and give q. 3 Rearrange 6*t**4 - t**2 + 9*t**3 - 2*t**4 + 2*t - 8*t**3 to s*t**2 + x*t + o + v*t**3 + j*t**4 and give j. 4 Rearrange -16*s + 19*s + 6*s**2 + 0 + 0 to t
{ "pile_set_name": "DM Mathematics" }
et s(y) = p*l(y) - r(y). Suppose s(n) = 0. What is n? -5, -1/3 Let w be ((-480)/(-200))/((-6)/(-140)). Suppose 93*t - w = 86*t. Factor t*u - 3 - 1/3*u**4 - 22/3*u**2 + 8/3*u**3. -(u - 3)**2*(u - 1)**2/3 Let i(o) be the first derivative of o**3/27 - 107*o**2/9 + 11449*o/9 + 148. Determine n, given that i(n) = 0. 107 Suppose 4*v = -4*y + 60, -5*v = -5*y - 50063 + 50068. Factor -3*k**2 + 1/3*k**3 - 11/3 - v*k. (k - 11)*(k + 1)**2/3 Let b(h) = 5*h**3 + 39*h**2 + 29*h + 9. Let c(d) = 5*d**3 + 78*d**2 + 56*d + 18. Let r(i) = 5*b(i) - 2*c(i). Factor r(y). 3*(y + 1)**2*(5*y + 3) Let r(n) be the third derivative of -n**8/2856 - n**7/1785 + n**6/170 - n**5/255 - 5*n**4/204 + n**3/17 - n**2 - 2*n + 29. Determine v so that r(v) = 0. -3, -1, 1 Let x(c) be the first derivative of c**6/180 + 17*c**5/240 + c**4/12 + c**3/3 + 24*c + 23. Let h(j) be the third derivative of x(j). Factor h(f). (f + 4)*(4*f + 1)/2 Let q(h) be the first derivative of h**6/27 + 92*h**5/45 + 86*h**4/3 - 1220*h**3/27 - 7429*h**2/9 - 4232*h/3 - 2134. Solve q(d) = 0 for d. -23, -3, -1, 4 Let i be (-58)/203*14 - -4. Determine v so that 8/3*v**2 + i - 2/3*v**3 + 10/3*v = 0. -1, 0, 5 Let v = -656424 - -3282126/5. Find l such that 6/5*l - 4/5*l**2 - 4/5*l**3 - 2/5*l**5 - 2/5 + v*l**4 = 0. -1, 1 Let j(g) = 16*g**3 + 59*g**2 + 7*g + 28. Let h(t) = 7*t**3 + 30*t**2 + 3*t + 12. Let f(x) = 7*h(x) - 3*j(x). Factor f(n). n**2*(n + 33) Let c(k) = -k**3 + 9*k**2 + 19*k + 35. Let l be c(11). Factor 291*r**4 + 10*r**2 + 45*r**l - 286*r**4 - 35*r**3 - 25*r. 5*r*(r - 5)*(r - 1)**2 Let i be 69/460*2/9. Let c(z) be the third derivative of -i*z**6 + 7*z**2 - 1/15*z**5 + 0*z**4 + 0*z**3 + 0 + 0*z. Factor c(p). -4*p**2*(p + 1) Let n be 11 + 71/(-4)*16/28. Factor -n*u**2 + 0 - 8/7*u + 2/7*u**3. 2*u*(u - 4)*(u + 1)/7 Let m = 120 - 116. Determine n so that -m*n**2 - 10*n**2 - n - 5*n**3 - 3*n + 14*n**4 + 9*n**3 = 0. -1, -2/7, 0, 1 Let n be (2/24)/(6/16). Suppose 39*z = 40*z - 3*g, -5*z + 6*g + 9 = 0. Solve 2/9*d**z - n - 2/9*d + 2/9*d**2 = 0 for d. -1, 1 Let u(d) be the first derivative of d**4/24 + 13*d**3/18 + 8*d**2/3 + 10*d/3 + 1124. Factor u(m). (m + 1)*(m + 2)*(m + 10)/6 Let a(r) be the first derivative of 4*r**3/7 - 801*r**2/14 - 201*r/7 - 1429. Suppose a(m) = 0. Calculate m. -1/4, 67 Let c(u) = u**2 - u + 1. Let n = 555 + -554. Let v(d) = d**4 - 3*d**3 - 6*d**2 + 10*d - 6. Let p(h) = n*v(h) + 6*c(h). Solve p(s) = 0. -1, 0, 2 Suppose 0*j**3 - 428537 + j**3 + 428616 + 77*j**2 - 157*j = 0. Calculate j. -79, 1 Let t(w) be the third derivative of 1/180*w**5 - 1/72*w**4 + 1/360*w**6 + 0*w**3 + 0*w - 37*w**2 + 1 - 1/630*w**7. Determine q so that t(q) = 0. -1, 0, 1 Let q(r) be the second derivative of r**5/20 - 109*r**4/6 - 73*r**3/2 - 1286*r. Factor q(g). g*(g - 219)*(g + 1) Suppose 4/3*g**2 + 672 + 228*g = 0. What is g? -168, -3 Let r(z) be the third derivative of z**7/840 + 13*z**6/240 + 31*z**5/80 + 7*z**4/6 + 11*z**3/6 + 4*z**2 - 583. Solve r(n) = 0 for n. -22, -2, -1 Let g(c) be the third derivative of -c**8/4032 + c**7/504 - c**5/20 + 23*c**2 + c. Let m(x) be the third derivative of g(x). Factor m(h). -5*h*(h - 2) Let w be (-891)/(1 + 2)*(-2)/6. Find p such that 2*p**2 - 30 + 16*p - 39 + w = 0. -5, -3 Let z(o) be the first derivative of -o**3/5 - 4263*o**2/5 - 6057723*o/5 + 3116. Factor z(t). -3*(t + 1421)**2/5 Solve -4/11*b**3 + 2/11*b**4 + 0 + 2/11*b**2 + 0*b = 0 for b. 0, 1 Factor 5*w**3 + 20275 + 519*w + 265*w**2 - 20020 - 4*w. 5*(w + 1)**2*(w + 51) Let y = -21680 - -86721/4. Let w(a) be the third derivative of 0 + 20*a**2 + 1/10*a**5 + 0*a - 1/30*a**6 - 2/3*a**3 + y*a**4. Find j, given that w(j) = 0. -1, 1/2, 2 Let b(a) be the first derivative of -a**4 - 112*a**3 - 3168*a**2 + 30976*a - 3261. Suppose b(z) = 0. What is z? -44, 4 Let s = 904 - 909. Let u be (-5 - 71/s) + -2. Factor 2/5*c**3 + 42/5*c + 16/5*c**2 + u. 2*(c + 2)*(c + 3)**2/5 Let v = 4730749/6 + -788454. Suppose -1/3*z**3 + 11/3 - 31/6*z - v*z**2 = 0. What is z? -11, -2, 1/2 Suppose -b = 5*m - 54, -4*m + 3*b = b - 32. Let c be (-2 - 1) + m - 7. Factor 8/7*a**3 + 4/7*a - 2/7*a**4 - 10/7*a**2 + c. -2*a*(a - 2)*(a - 1)**2/7 Let k = 18962 + -18959. Let a(p) be the second derivative of -1/6*p**4 + 0*p**2 - 1/84*p**7 + 1/20*p**6 + 0 + 0*p**5 - 27*p + 0*p**k. Factor a(w). -w**2*(w - 2)**2*(w + 1)/2 Let q(l) be the third derivative of 5*l**8/1008 + l**7/63 - 7*l**6/24 + l**5/2 - 3429*l**2. Determine t, given that q(t) = 0. -6, 0, 1, 3 Let h(k) be the second derivative of 24631369*k**4/8 - 4963*k**3 + 3*k**2 + 6728*k. Suppose h(l) = 0. What is l? 2/4963 Determine f, given that -28/11*f - 2/11*f**2 - 6 = 0. -11, -3 Let u = 540587 + -540584. Determine g so that -1/3*g + 0 + 5/3*g**2 - 4/3*g**u = 0. 0, 1/4, 1 Let i = -76864 + 76867. Let -3/7*g**5 + 0*g**2 + 0 - 6/7*g**4 + 0*g + 0*g**i = 0. Calculate g. -2, 0 Let v(t) be the third derivative of 149*t**2 + 0*t**5 + 1/40*t**6 + 0*t**4 + 0 + 1/224*t**8 + 0*t + 0*t**3 + 3/140*t**7. Factor v(d). 3*d**3*(d + 1)*(d + 2)/2 Let h be (-6 + 1 + -17)*-1. Find f, given that -22 + 13*f - h*f - 3*f**2 + 16 = 0. -2, -1 Let r(c) be the first derivative of c**6/120 + c**5/5 - 5*c**3/3 - 5*c**2 + 5. Let m(y) be the third derivative of r(y). Factor m(a). 3*a*(a + 8) Let h = 147 + -145. Let 3 + 9 - 25*t**4 + 5*t**h - 40*t + 5*t**5 + 35*t**3 + 8 = 0. Calculate t. -1, 1, 2 Let b(q) be the third derivative of q**7/105 + 7*q**6/90 + q**5/15 - q**4/2 - 35*q**3/3 - 16*q**2. Let l(y) be the first derivative of b(y). Factor l(k). 4*(k + 1)*(k + 3)*(2*k - 1) Let q(d) = 1000*d**2 + 33525*d + 101235. Let m(s) = 57*s**2 + 1972*s + 5955. Let g(c) = -35*m(c) + 2*q(c). Solve g(z) = 0. -3, 397 Let v(t) be the first derivative of -t**3/12 + 93*t**2 - 34596*t - 3570. Factor v(a). -(a - 372)**2/4 Let n = 41/5 - 113/15. Let m be 676/78 + 20 - (-27 - -54). Factor m*i - i**2 - n. -(i - 1)*(3*i - 2)/3 Factor -12/5*z**4 + 1/5*z**5 + 48/5*z**2 + 32/5*z**3 + 0 - 144/5*z. z*(z - 6)**2*(z - 2)*(z + 2)/5 Solve -141/2*j**3 - 924*j**2 - 3/2*j**4 + 0 - 2178*j = 0 for j. -22, -3, 0 Determine q so that -3/5*q + 6/5*q**4 - 6/5*q**2 + 0*q**3 + 3/5*q**5 + 0 = 0. -1, 0, 1 Let l(w) = w**2 - 2. Let n(f) be the first derivative of 7*f**3/3 + 55*f**2/2 + 146*f - 215. Let h(i) = -2*l(i) + n(i). Factor h(b). 5*(b + 5)*(b + 6) Let n(z) be the third derivative of -1/1260*z**7 + 37/360*z**6 - 19/5*z**5 + 1369/36*z**3 + 0 + 0*z - 37/72*z**4 - 151*z**2. What is c in n(c) = 0? -1, 1, 37 Suppose -106/11*u**3 - 60/11*u + 0 - 2/11*u**5 + 142/11*u**2 + 26/11*u**4 = 0. What is u? 0, 1, 5, 6 Let h(n) be the third derivative of -n**6/240 + 29*n**5/40 + n**4/48 - 29*n**3/4 + 6494*n**2. Factor h(x). -(x - 87)*(x - 1)*(x + 1)/2 Let u(x) be the first derivative of 0*x - 4/9*x**3 + 185 + 0*x**2. Factor u(b). -4*b**2/3 Factor -2/11*w**2 - 9248/11 + 272/11*w. -2*(w - 68)**2/11 Let q be (-30)/36*120/75*-3 + -2. Factor 78/5*c + 36 - 6/5*c**q. -6*(c - 15)*(c + 2)/5 Let v be (10/(-6))/(70/(-84)). What is k in -36 + 55*k**v - 6*k**2 + 72 + 84*k = 0? -6/7 Let h(l) be the first derivative of 2*l**3/9 + 80*l**2/3 - 1294. Let h(b) = 0. What is b? -80, 0 Let v(i) = 17*i**3 - 4839*i**2 - 2435*i - 10. Let x(a) = -9*a**3 + 2418*a**2 + 1218*a + 6. Let k(q) = 3*v(q) + 5*x(q). Factor k(g). 3*g*(g - 405)*(2*g + 1) Let x = 62747 + -62745. Factor 4/7*k**3 - 20/7*k - 12/7 - 4/7*k**x. 4*(k - 3)*(k + 1)**2/7 Let a(v) = -v**2 + 115*v - 1498. Let w be a(100). Let n(l) be the first derivative of -25/2*l**w - 15*l + 10/3*l**3 - 8. Solve n(p) = 0. -1/2, 3 Suppose -5*o + 0*d - 2 = 4*d, 2 = 2*o + 3*d. Let p be (-40)/o + (-7 - -2). Suppose 5*g**4 + 12 + 4*g**3 - p*g**2 - 5*g - 2 + g**3 = 0. Calculate g. -2, -1, 1 Suppose 1/3*u**5 - 84*u**4 - 250/3*u**2 + 167*u**3 + 0*u + 0 = 0. Calculate u. 0, 1, 250 Find d such that 1/5*d**2 + 0 - 78/5*d = 0. 0, 78 Let a be 3*10/(-30)*-1*(-42)/(-28). Find b, given that 9/2 - 1/4*b**3 + a*b + 1/8*b**4 - 11/8*b**2 = 0. -2, 3 Suppose 5*a = -x - 173, -184 + 8 = 5*a + 2*x. Let v be 2/a*2 + (-1284)/(-510). Factor v + 4/5*t**3 + 4*t**2 + 28/5*t. 4*(t + 1)**2*(t + 3)/5 Let w be -44 + 48 + (-9*1 - -1). Let c(k) = 9*k + 38. Let r be c(w). Suppose 6/5 - 3/5*q**r + 3/5*q = 0. Calculate q. -1, 2 Suppose -105986*g + 1050 = -105881*g. Suppose -58/3*n + 26/3*n**2 + 2/3*n**3 + g = 0. Calcula
{ "pile_set_name": "DM Mathematics" }
ctor of i? False Let n(s) = -s**3 - 8*s**2 + 8*s + 5. Suppose -y + 7 = 16. Is 7 a factor of n(y)? True Suppose 0*u + 5*u - 5 = 4*n, 0 = -5*n. Let p(k) = 4 - 1 - 3 - 1 + 17*k. Is p(u) a multiple of 9? False Suppose -t = -4*t + 66. Is t a multiple of 16? False Suppose -3*f - 3*w + 172 = 2*w, 168 = 3*f + 3*w. Is 9 a factor of f? True Let i(j) = 11*j + 21. Let s(p) = -5*p - 10. Let l(f) = -4*i(f) - 9*s(f). Suppose 14*u = 15*u. Is l(u) even? True Let l be 2/(-5) + (-216)/(-40). Suppose 3*f + 3 = f - 3*s, l*f + s + 1 = 0. Is (f - -26)*(-1)/(-1) a multiple of 10? False Suppose 6*h - 44 = 2*h. Suppose -4*s = -37 - h. Is s a multiple of 12? True Let v(p) = -p**3 + 5*p**2 + p + 5. Let z(k) be the first derivative of -3*k**4/2 + k**2/2 - 1. Let w be z(-1). Is 10 a factor of v(w)? True Let m(r) = r - 6. Let h(c) = c - 1. Let o(w) = -2*h(w) + m(w). Let p be o(-7). Suppose 62 = x - 5*z, p*z - 6*z - 52 = -x. Is 15 a factor of x? False Let q = -29 - -14. Is (-123)/q - 1/5 a multiple of 4? True Let g(d) = -d**3 - 5*d**2 - 4*d + 2. Let u be g(-4). Suppose 150 = u*h + 3*h. Is 8 a factor of h? False Suppose m + m = -22. Let f = m - -15. Is f a multiple of 2? True Suppose 0 = -f + 3 + 142. Does 29 divide f? True Is 19 a factor of (0 - 0) + (0 - -32)? False Suppose 2*q - n = -3*q + 1388, -5*n + 288 = q. Suppose -4*z + q = -42. Suppose -3*o - 2*s = -3*s - 28, 5*o + 5*s = z. Is 4 a factor of o? False Suppose -69 = 2*i - b + 71, -5*i + 3*b = 349. Let h = -48 - i. Is 9 a factor of h? False Let u(y) = y**2 + y + 2. Let a(x) be the first derivative of x**3 + 2*x**2 + 6*x + 1. Let v(p) = -6*a(p) + 17*u(p). Does 8 divide v(-5)? True Suppose -3 = -a + 15. Is a a multiple of 18? True Suppose 6*a - 4*a = 0. Let b(n) = n**3. Let o be b(0). Suppose -4*m + o*m + 96 = a. Is m a multiple of 12? True Let u(d) = -38*d - 59. Does 31 divide u(-6)? False Let t(s) = s**2 - 4*s + 3. Let v be t(4). Let c(x) = x**3 + 10*x**2 + 11*x + 10. Let h be c(-7). Suppose 0 = v*p - p - h. Is p a multiple of 15? False Suppose 4*w + 16 = -g - 3*g, 0 = g - w + 14. Let s = g + 19. Is s a multiple of 6? False Let z = -27 + 43. Is 4 a factor of z? True Let c be 3*1 - 10/(-5). Suppose 2*q = -5*r - 16, 30 = c*q - 2*r + 12. Is 25 a factor of 24 + q/(-6)*-3? True Suppose -2*u + 3 = -g, 0 = 5*u - 0*u + 3*g + 20. Suppose -2*z + 5*p - 10 = 7, -13 = z - 4*p. Is z*(-1)/u*-12 a multiple of 6? True Suppose -5*q = -0*x - x - 5, -3*q = -4*x + 14. Let k be (-22)/(-4) - (-4)/(-8). Suppose 0 = -2*c - 0 + 6, -q*b - k*c + 59 = 0. Is 22 a factor of b? True Let i = 3 - 4. Let s be (-2)/(33/(-27) - i). Is 5 a factor of 3/s + 69/9? False Let y = 7 + -13. Let a(s) = -s + 7. Is a(y) a multiple of 5? False Let l = -5 - -1. Let g(m) = -m + 4. Does 4 divide g(l)? True Suppose 127 = -3*z - 5*g + 350, 2*z = 3*g + 155. Let n be z/(-18) + (-4)/(-18). Let i = n + 22. Is 14 a factor of i? False Is 2*((-1698)/(-12) - 2) a multiple of 19? False Let t = 17 + 18. Does 7 divide t? True Let r = -56 - -182. Is 21 a factor of r? True Suppose -5*t = -0*l - 5*l - 315, l + 193 = 3*t. Does 13 divide t? True Suppose n - 2*n + 4*c + 128 = 0, 0 = -n + 2*c + 130. Is n a multiple of 22? True Let s(f) = 7*f - 4. Let w(b) = 14*b - 8. Let a(r) = 7*s(r) - 3*w(r). Is 11 a factor of a(8)? False Let h = -67 + 32. Suppose b = -b + 98. Let w = b + h. Does 7 divide w? True Suppose 3*x - h - 217 = 0, 159 + 62 = 3*x + h. Is x a multiple of 12? False Let k(m) = -4*m**3 + 3*m**2 + m + 7. Let f(h) = 11*h**3 - 10*h**2 - 2*h - 20. Let x(c) = -3*f(c) - 8*k(c). Let v be x(5). Let s = -9 + v. Is 5 a factor of s? True Suppose -2 - 20 = -j. Is 22 a factor of j? True Suppose 10 = 3*d - 2*d - t, 5*d - 30 = -5*t. Suppose -d = k - 3*k. Suppose 21 = k*i - 19. Is 3 a factor of i? False Let w(r) = 6*r**2 + 4*r + 12. Let c(f) = 7*f**2 + 3*f + 12. Let v(y) = -5*c(y) + 6*w(y). Let b be v(-8). Is 14 a factor of (-1)/(-4) + 75/b? False Let p be 6/9 + 4/3. Suppose -5*z + 22 - p = 0. Suppose -5*v - r + 115 = -0*r, -91 = -z*v - r. Is v a multiple of 11? False Is 2 a factor of 0 - 426/(-27) - (-2)/9? True Let i(f) = 2*f + 10. Let m be i(-7). Let t = 0 - m. Suppose d = -2*y + 14, -t*d - 6*y = -y - 41. Does 4 divide d? True Let p(c) = c**2 - c + 5. Let m be p(0). Suppose -5*q = -m*k + 190 - 0, 5*q - 170 = -5*k. Is 9 a factor of k? True Let m(r) = 5*r - 2. Is m(10) a multiple of 6? True Is 30 a factor of 2 - 1*(-31 + 3)? True Let c = -12 - -27. Let a = 27 - c. Does 7 divide a? False Let r = 31 + -15. Let j = -23 + r. Is 19/1 - (-4 - j) a multiple of 13? False Let b(w) = w - 1. Let k(u) = 2*u - 8. Let z be k(6). Let t be b(z). Suppose f - 20 = 3*g, -4*f - 2*g + 58 = -t*g. Is 8 a factor of f? False Let c be 38/(-9) + (-12)/(-54). Let w(x) = 3*x**2 + 2*x - 4. Is w(c) a multiple of 18? True Suppose -9 = -3*z - 2*t, 7*z - 5 = 3*z - 5*t. Suppose z*n = -a + 11, 2*a - 4 = -4*n - 0*a. Suppose 0*y + n*y - 66 = 0. Does 11 divide y? True Let u(n) = n + 1. Let y be u(1). Suppose -76 = -y*k + 30. Is k a multiple of 16? False Let b = 92 - 10. Is b a multiple of 19? False Let q(h) = 11*h**2 + 3*h - 3. Let x be q(2). Suppose 73 + x = 4*k. Is k a multiple of 10? True Suppose 0*k - q - 2 = -3*k, 4*k + 2*q = -4. Let y be 1 - k*3/(-9). Is 9 a factor of (13/4 - y)*4? True Suppose -4*j + 0*j + 12 = 0. Suppose 2*x + 3 = q - 4, 0 = 3*q - j*x - 9. Is 8 a factor of (8 - (q + 1)) + 1? False Let g(b) be the second derivative of -3*b**5/20 - b**4/12 - b**3/3 - 3*b**2/2 - 20*b. Suppose 9*c + 10 = 4*c. Is g(c) a multiple of 21? True Suppose 0*i - 42 = -4*i - m, 2*i - 2*m = 16. Let j be (-67)/(-2) - (-5)/i. Suppose -4*c + 0*c + 44 = -2*o, 3*c - 2*o = j. Does 8 divide c? False Let o = -36 + 61. Is o a multiple of 25? True Let u(v) = 3*v - 2. Let y be u(2). Suppose -22 = -2*w - y*p, -p + 3 = 2. Does 9 divide w + -2 + (-4)/(-2)? True Let r be (-10 - -7) + 10*2. Let j = r - 11. Does 6 divide j? True Does 22 divide (-8)/2*121/(-22)? True Let l(c) be the first derivative of c**2/2 - 5*c + 4. Does 2 divide l(10)? False Let u(o) = 0 - o**3 + 2 + 6*o**2 - 1 + 0*o**3. Let r be u(6). Suppose l - 12 = r. Does 13 divide l? True Let m = 583 + -396. Is 24 a factor of m? False Is 14 a factor of (-33)/(33/(-6) + 4)? False Let n be (9 - 2)/((-1)/4). Let b(i) = i**2 - 2. Let a be b(7). Let o = n + a. Does 9 divide o? False Suppose -4*f = -5*f - 6. Let z = 8 + f. Suppose 5*x - 4 = -2*d, 0 = -z*d - 0*d + x + 4. Does 2 divide d? True Suppose 0*b - 3*b = -3*n - 9, -1 = b - 3*n. Suppose 0 = b*i - 9 - 66. Does 13 divide i? False Let t be 2/(-8) + 5/20. Suppose t = -2*y - 0*y + 4. Suppose 3*k - 75 = -y*k. Does 14 divide k? False Does 3 divide -3*(49/3)/(-7)? False Suppose t + 3*j - 174 = 0, 3*t = -j - 309 + 791. Is t a multiple of 10? False Let c(p) = -p + 64. Is 21 a factor of c(0)? False Suppose -5*g + 4*j + 553 = 0, 5*g + j - 96 = 472. Suppose -5*w + g + 37 = 0. Does 10 divide w? True Let o = -5 - -15. Is 2*(-1)/(-4)*o a multiple of 2? False Let g(r) = 2*r**3 + 3*r**2 - r. Let d be g(2). Let t = -14 + d. Does 6 divide t? True Suppose -2*o - 6 + 64 = 2*j, 2*o + 3*j = 59. Is o a multiple of 7? True Let x(k) = k**3 + k**2 - k. Let d(f) = 2*f**3 + f**2 + 3. Let n(q) = d(q) - x(q). Let r be n(3). Suppose 15 = 3*z - 2*u, 3*u - r = -3*z - 3. Does 7 divide z? True Let l = -88 - -208. Is 15 a factor of l? True Let s be ((-3)/(3/(-38)))/(-2). Let r = s - -27. Is r a multiple of 8? True Let o(l) = l**3 - 7*l**2 + 7*l - 1. Let h be o(6). Suppose 2*d + 13 = -5*c + 40, 0 = h*c - 2*d - 23. Is c a multiple of 2? False Let x = 92 + -50. Is 6 a factor of x? True Let z = 40 + -22. Is 2 + -1 + z - 1 a multiple of 9? True Let j(m) = -m - 12. Let z(b) = -b - 11. Let u(t) = 4*j(t) - 5*z(t). Let i be u(0). Suppose -p - 27 = -4*d, 3*d - i*p - 16 = -2*p. Does 4 divide d? False Let g(i) = i**2. Let z be g(-2). Does 16 divide 4*z/3*3? True Let i(j) = j**3 - 5*j**2 + 4*j + 5. Let z be i(4). Is -6*z/((-45)/24) a multiple of 8? True Suppose 0 = 2*z - 30 - 54. Does 21 divide z? True Let j = -32 + 139. Is j a multiple of 19? False Let g(o) = -o**3 + 7*o**2 + o - 3. Suppose a + 1 = 0, 23 = 4*u + 7*a - 2*a. Let d be g(u). Suppose 0 = 4*h + i - 40, 4*h - d*i - 38 = 2*h. Is 7 a factor of h? False Let t be 0*-1*(-3)/(-6). Let n = 3 - t. Suppose -2*w + n*c + 84 = c, -4*w = 2*c - 186.
{ "pile_set_name": "DM Mathematics" }
ace. 0.7 Let b = -51776377 + 51776357.0000019. Let t = b - -20. What is t rounded to 6 decimal places? 0.000002 Let r = 5.1999966 - 5.2. Round r to 6 dps. -0.000003 Let k = -11608 + 11607.942115. Let m = -0.058 - k. Round m to 5 dps. -0.00012 Let j = 1 + -10. Let m = -1 - j. Let y(a) = -264*a + 12. Let h be y(m). Round h to the nearest one thousand. -2000 Suppose 0 = 14*z - 17*z + 8520. What is z rounded to the nearest one thousand? 3000 Let k = -45.65 - -47. Let i = k - 0.1. Let h = -1.249882 + i. Round h to five dps. 0.00012 Let y = 372763.199944 + -372762. Let u = y - 1.2. What is u rounded to 5 dps? -0.00006 Let h = -7667 + 52667. Round h to the nearest 10000. 50000 Let j = -2596084 + 2596091.000014. Let s = 7 - j. What is s rounded to six decimal places? -0.000014 Let d = -0.17099854 - -0.171. What is d rounded to six decimal places? 0.000001 Let g = 1365723068183.14 + -1365797569553.139977. Let f = 74501415 + g. Let x = f + -45. Round x to five decimal places. 0.00002 Let p = 26791 + -26605.27. Let l = p - 184. What is l rounded to 1 dp? 1.7 Let o = 2.77081 + -2.63. Let f = o - 0.1307. Let w = f - 0.01. What is w rounded to four dps? 0.0001 Let k be 6/(-4)*(-12)/9. Suppose 700 + 206 = k*c. Let a = c + -763. What is a rounded to the nearest 100? -300 Let q = 131 + -130.999772. Round q to five decimal places. 0.00023 Let f(m) = m**3 + m**2 - 7. Let w be f(0). Let g = w - -11. Suppose g*n = n - 18300. Round n to the nearest one thousand. -6000 Let m = -291651.4000048 - -291652. Let g = -0.6 + m. Round g to six decimal places. -0.000005 Let m = -37.675 - -32.7. Let r = -5 - m. Let z = 0.03 + r. What is z rounded to 3 dps? 0.005 Suppose -3*x + 6 = -4*s - 3, -3*x = -2*s - 15. Let q = x - 4. Suppose 2*o - 167 = 4*h - 9*h, 128 = 4*h + q*o. What is h rounded to the nearest 10? 40 Let y = -0.077 + 0.07719. What is y rounded to four decimal places? 0.0002 Let k = -16.9 + 16. Let d = k - -0.9000016. What is d rounded to 7 decimal places? 0.0000016 Let x = -184 - -518. Let v = x + -236. Round v to the nearest ten. 100 Let z = -11111 - -11128.5045. Let d = 104.5645 + z. Let c = 122 - d. What is c rounded to 2 decimal places? -0.07 Let k(n) be the third derivative of -53*n**4/24 + n**3/3 - n**2. Suppose -30 = 6*a - a. Let t be k(a). Round t to the nearest one hundred. 300 Let p = -4 - -4.0042. Round p to three decimal places. 0.004 Suppose 0*j + 4 = -j, -2*f + 428 = -4*j. Let i = 786 - f. Suppose -r = -0*r - i. What is r rounded to the nearest 100? 600 Let n be 7*(-2 - -3)*1. Let f(x) = -1487*x**3 + x**2 - x - 1. Let c be f(n). Round c to the nearest 100000. -500000 Suppose -5*p + 5084485 = 5*v, 2*p = -2*v + 4*p + 2033810. Suppose 113901 = 3*o + v. Round o to the nearest ten thousand. -300000 Let k = 0.065879 - 0.066. What is k rounded to five dps? -0.00012 Suppose 3*q - 8 = 7. Let i be (-75)/12 + 6/(-8). Let r = i + q. Round r to the nearest integer. -2 Suppose 3*n = g + n - 11, -2*n = 2*g - 16. Let d be (-8)/12 - (-24)/g. Suppose -4141496 = -d*v + 21058504. Round v to the nearest one million. 13000000 Let b = 27 + -10. Let n = 16.9952 - b. What is n rounded to three dps? -0.005 Let y = 2494.6468 + -2492.64680072. Let m = 0 - 2. Let v = y + m. What is v rounded to 7 dps? -0.0000007 Let f = 0.038 - -19.962. Let v = f + -19.99926. What is v rounded to four decimal places? 0.0007 Let u = 0.57 + -26.57. Let f = u - -25.63. Let l = -4.97 - f. What is l rounded to the nearest integer? -5 Suppose q = 5*c - 73 - 70, -5*c - q + 147 = 0. What is c rounded to the nearest integer? 29 Let m = 0 + -2. Suppose -1 - 2 = -3*r. Let f be m/10 + r/5. Round f to 3 decimal places. 0 Let l = 399.000273 + -399. Round l to 4 dps. 0.0003 Let j(q) = 1132501*q**2 + 6*q + 8. Let u be j(-2). What is u rounded to the nearest 1000000? 5000000 Suppose -d = -5*w - 6300020, -3*w = -5*d + 4520915 + 26979097. Suppose 0*x = x + d. Round x to the nearest 1000000. -6000000 Let m = 39.42 + -0.42. Let j = 39.63 - m. Round j to 1 decimal place. 0.6 Let x = 46.04 + -52. Let g = x - -6. Let n = -0.040048 + g. What is n rounded to five dps? -0.00005 Let p = 5905261 - 3445261. What is p rounded to the nearest 100000? 2500000 Let k = -162 - -162.227. Round k to 2 dps. 0.23 Suppose 5*j = 3*j. Suppose j*w - 170000000 = -5*w. Suppose 3*y - w = 5*y. Round y to the nearest one million. -17000000 Let a = 2.07 - 2. Let c = 4.93 + a. Let n = c - 5.5. What is n rounded to 1 dp? -0.5 Let j = 1 - 1. Let r = -0.00000008 + j. Round r to seven decimal places. -0.0000001 Let w = -0.19 - -2.59. Let q = -105.02 + 102. Let n = w + q. Round n to 1 decimal place. -0.6 Let t = -164 + 164. What is t rounded to 2 decimal places? 0 Let b = -15.7 + -61.3. Let g = b - -77.000059. Round g to five dps. 0.00006 Suppose -r + 5*r = 76. Let o(p) = -2*p**2 - 2*p + 10. Let y be o(-7). Let s = r + y. What is s rounded to the nearest ten? -60 Suppose 3*s + 25 = 1309. Suppose -t = 3*t + s. What is t rounded to the nearest 10? -110 Let q = 0.11 - 0.04. Let a = 0.107 + 0.011. Let n = a - q. Round n to two decimal places. 0.05 Let b = -34.9735 + 35. What is b rounded to 2 dps? 0.03 Let t = 41 + -24. What is t rounded to the nearest ten? 20 Let c = -2.82 + -0.18. Let r = -3.000005 - c. What is r rounded to six decimal places? -0.000005 Let d = -1.3 + 1.3089. What is d rounded to 3 dps? 0.009 Let c be 0/((-3 + 8/4)*-2). What is c rounded to seven dps? 0 Let n = 595.248 - 0.248. Let l = n + -589.18. Let y = l - 0.62. Round y to 0 decimal places. 5 Let w = 15 + -16. Let t = w + 0.9856. What is t rounded to 3 dps? -0.014 Suppose 5*i = 2*i + 387. Suppose -3*h + i = -4*h. Let d be 3/(-2 + h/(-60)). What is d rounded to the nearest one hundred? 0 Let r = 2972.3 - 3361. Let c = r + 407. Round c to 0 decimal places. 18 Suppose l = 5*i + 21210, 0*l + l - i - 21202 = 0. What is l rounded to the nearest 1000? 21000 Let u = 47.939 - 48.2. Let t = -52.29 - -52. Let v = t - u. Round v to two dps. -0.03 Suppose -1099177 = 5*a + 933203. Suppose -2*u - 1194306 - 2791598 = -4*f, 2*u = f - 996476. Let q = a + f. Round q to the nearest one hundred thousand. 600000 Let y = -0.3 + 0.5. Let s = 8.2 - y. Let v = 8.00000015 - s. What is v rounded to 7 decimal places? 0.0000002 Suppose 3*q + 8400000 = 8*q. What is q rounded to the nearest one hundred thousand? 1700000 Let n = 31.7 + -34. Let r = n + 0.7. Let b = r - -2.02. What is b rounded to one dp? 0.4 Let s = 3 + 1. Suppose 22010 = -2*w - 5*b, 5*w + s*b - 3*b = -55002. What is w rounded to the nearest ten thousand? -10000 Let z = -77200975182330.79599959 + 77200464992618.796. Let p = z + 510189708. Let d = p + 4. Round d to 7 dps. 0.0000004 Let c = 0.3543 + -0.313. What is c rounded to three dps? 0.041 Let m = 870034 - 509034. Round m to the nearest ten thousand. 360000 Let x = -3.12 - -0.85. Round x to 1 dp. -2.3 Let b = -0.4136 + 0.4. Let j = -0.009 - b. Round j to three decimal places. 0.005 Let z = -56.47 - 2.13. Let k = 52 + z. Round k to zero decimal places. -7 Let y = 49953 - 19945. Suppose 0 = 3*c - 6 - 6, 4*x + 2*c = y. What is x rounded to the nearest one thousand? 8000 Let a = 0.9 + 3.1. Let r = 4.016 - a. Let l = r - -0.035. What is l rounded to two dps? 0.05 Let b = 3.01 + -3. Let i = b - -0.01. Let u = 0.02000042 - i. Round u to 7 dps. 0.0000004 Let r = 907354528.00000063 - 907354641. Let h = -112.37 - 0.63. Let t = h - r. Round t to 7 dps. -0.0000006 Let l = 16 - 15.78. Round l to 1 decimal place. 0.2 Let s = -88.6 - -1.6. Let i = s + 86.9931. Round i to three decimal places. -0.007 Let c = -0.244 + -12.656. Let i = -12.900106 - c. Round i to five decimal places. -0.00011 Let p = -1484491.599997 - -1484491. Let b = p + 0.6. What is b rounded to 6 decimal places? 0.000003 Let h be 2 - -2*2/(-4). Let g be 6 + 0 + -3 + h. Suppose 2*s - g*f = 5*s + 263996, -175995 = 2*s + 5*f. What is s rounded to the nearest 10000? -90000 Let w = 3 + 2. Let u(f) = 0 + 5 + 7325*f + 25305*f + 27369*f. Let b be u(w). What is b rounded to the nearest one million? 0 Let u = -2.624 + 2.5. Let o = 0.123947 + u. Round o to 5 dps. -0.00005 Let b = 5.9999815 + -6. What is b rounded to 6 decimal places? -0.000019 Let b = -4.4 - -7.3. Round b to zero decimal places. 3 Let k(v) = -524999*v - 12. Let n be k(12). What is n ro
{ "pile_set_name": "DM Mathematics" }
2*i + g for i. -1 Solve -x + 18 = -q, 85*x - 270 = 86*x + 3*q - 268 for x. 13 Solve 465*w = -2*j + 467*w - 6, 283*w = -j - 287 for j. -4 Solve -4*f + 116 = 60111*z - 60116*z, -10*f = 2*z for f. 4 Solve -4203*f - 8*i = -4207*f + 256, f - 5*i + i - 64 = 0 for f. 64 Solve -3*g = 3*w + 6*g - 11*g + 4*g - 0*g - 32, -w + 22 = 12*g for w. 10 Solve 5*c + 15*z = 80 - 290, 14648*c - 2*z - 21 = 14651*c for c. 3 Solve 4*p = 19*s - 13*s - 46, 54*p - 56*p - 12 + 24 = 4*s for s. 5 Solve -3*f + 283 - 224 = -5*n - f, 3*n + 11*f - 32 = 262 for n. -1 Solve -x - 25385*f + 25383*f - 5 = 0, -15 = -3*f for x. -15 Solve 3*n + 33 = -84*k + 198, -2 = -14*n + 18*n - 0*k + k for n. -1 Solve -n + 21*v = -80, 4*n - 4 = 4*n + 3*n - 2*v for n. -4 Solve 63*n - 59*n - 22 = k, -7*k = n + 183 for k. -26 Solve -110 + 95 = 4*p - 6*t + 4*t - 5*t, -4 = -7*t + 3*t for p. -2 Solve 28*g + 0*b + 90 = -2*b - 494, 0 = 3*g + 4*b + 55 for g. -21 Solve 10*x + 8*x - 15*x = 7*w - w - w + 40, 2*x + 228 = 67*w for w. 4 Solve -5*u + 2*g - 27 = 0, -4*u = -g - 1434 + 1455 for u. -5 Solve -2*x - 49 + 0 = -3*z - 2, -3*x - 594 = x - 106*z for x. -16 Solve 5*u = k + 9 + 3 - 3, 3*u - 2 - 5 = -2*k - 12 for u. 1 Solve 5*p + 4*n + 80 = 0, -p - 159*n - 396 = 232 + 179 for p. -12 Solve -3*v + 182 = 63*i + v, 1105 = -i + 4*v + 1051 for i. 2 Solve -92 = -2*x, -3*i - 39*x - 17629 = -19432 for i. 3 Solve -12 = 4*z, -5*a + 41*z - 46 = 43*z for a. -8 Solve -31*l + 13*l - 11 = -17*l + 3*x - 1, 78*l + 65*l + 3*x + 1004 = 0 for l. -7 Solve 3*z + 5*y + 86 = 0, 0 = 122104*z - 122109*z - 4*y - 74 for z. -2 Solve 4 + 9 = -o - 4*g, g + g = 2*o - 6*o - 2*g - 16 for o. -1 Solve -12*i - 2*q + 6 = 0, 88*q - 82*q + 60 = 3*i for i. 2 Solve 2*m - 5 = -2*k - 19 - 2, -20*m - 100 = 6*m + 56 for k. -2 Solve -5*c - 1 = 3*w, w + 1911*c - 1916*c + 26 = -1 for w. -7 Solve 2*m + 91611 - 92276 = -15*p, 0 = p - 2*m - 55 for p. 45 Solve -180*u - 220*z + 218*z + 2 = 0, z = -2*u + 6*u + 1 for u. 0 Solve 0 = -47*a + 50*a - l - 74, -2*a - 98 = -5*l - 507 for a. -3 Solve 4*i = -2*z + 30, 10 = -2*i + 5*i + 1 for z. 9 Solve -5*u - 10 - 60 = -4*i, -3*u - 284*i + 157 + 143 = -218*i for u. -10 Solve 351*o - 269*o - 81*o = -4*f - 43, 0 = 3*o + 3*f + 30 for o. 1 Solve -3 = -v + 18*k + 29*k - 42*k, 3 = v + 2*k for v. 3 Solve -15669*t = -15670*t + 5*a - 80, 3*a = 2*t + 48 for t. 0 Solve -46*d + 164 = 2*t, 22*d - 5*t + 71 = 24*d - 0*t for d. 3 Solve -2*z - 2*z + 2*o - 3*o = -9*z + 38, -4*o = -o + 84 for z. 2 Solve 2*y - 2*m - 8 = 0, -m - 14182 + 14190 = 5*y for y. 2 Solve -5*v + 14*k - 3*k + 63 = 13*k + 2*k, 114*v - 4*k + 99 = -83 for v. -1 Solve -4*p - 109 = -7*d, 9*p - 7*p = d + 4*p + 41 for d. 3 Solve -4*h - 3 = -11*f + h, 5*f - 415 + 412 = 2*h for f. 3 Solve -2*r = 6*j + 42, -19564*r + 19557*r - 47 = j for j. -5 Solve 4*f = 11*x - 81, 0 = -818*f + 814*f + 5*x - 111 for f. -34 Solve -4*s - 19 = -3*o, 5*o + s = -126365 + 126435 for o. 13 Solve b = 5*d + 2, 140508*d - 4*b = 140511*d - 54 for d. 2 Solve 2*i + 18 = -0*i + 2*o, -3*i + 1379*o - 19 = 1377*o - 0 for i. -1 Solve 4*j = 7*n + 327, -433*n - 4*j + 140 - 9 = -436*n for n. -49 Solve 0*g - s = -3*g + 42, 5*g + 3*s + 56 = -8*g + 8*g for g. 5 Solve -3*a - 10 = 2*a - 3*j - 47, 2*a + a = 4*j + 31 for a. 5 Solve 8*w - 2899 = -f - 2906, -2*f + 3 = -w for f. 1 Solve 5*o - 7 = 2398*q - 2402*q, -5*q - 7 = o for q. -2 Solve 4*z - 130 = 5*b, z - 154*b - 27 = -310*b + 157*b for z. 5 Solve -2*i + 459 = 505, 103 = -6*k - 4*i - 0*i - 7 + 12 for k. -1 Solve 0 = 4019*x - 4015*x - 2*p - 50, -2*x - p = 67 + 60 - 106 for x. 1 Solve -4*k = 8, -5*u + 280*k + 79 = 138*k + 145*k for u. 17 Solve 2*w - 5250*z = -5246*z + 22, 5*z = -25 for w. 1 Solve 3*f + 7736 - 7707 = -2*r, -f - 41 = -15*r for f. -11 Solve 7*l + 4*p + 128 = 0, -303*p + 300*p = -2*l + 125 for l. 4 Solve -2*d - 5*x + 40 = 0, -80 = -63097*d + 63093*d + 2*x for d. 20 Solve 3401*r - 68 = -6*v + 3400*r, -2*r = 4*v - 40 for v. 12 Solve 11*k + 54224 = -3*j + 54250, 4*k = -4*j - 8 for j. -6 Solve -13486*v - 541 = -13481*v + 17*p, 7*v - 2*p + 3*p = 5*v - 25 for v. 4 Solve 19*o - 8 = -3*x - 31 - 8, 0 = 5*o - 4*x - 11 for o. -1 Solve -3*n - 3*b - 131 = -2*n, 5*n - 185 = -779*b + 784*b for n. -5 Solve -9*f - 724 + 951 = 5*x, 7*x = 5*x - 3*f + 74 for x. -5 Solve -3*v + 66 = 5*n, 48*n - 44*n - 33*v = -118 - 431 for n. 3 Solve -6865 = -m - 3433 - 3433, 3*m + 11 = -s for s. -8 Solve -12*n + 15*n + 135*d - 132*d = 21, -3*d = 5*n - 37 for n. 8 Solve -2*c - 4*c + 2*c - 24 = 4*h, 0*h - 180*c = h + 1438 for h. 2 Solve 189*c + 130 = 190*c - 3*k - 0*k, 3*c = 29*k + 1250 for c. 1 Solve 137*s + 10*l - 8*l + 115 = 130*s, 80 = -2*l for s. -5 Solve -4*o + 5*j = -3*o + 533 - 220, -12*o - 39 = -j for o. 2 Solve -534*x + 535*x - 284 = -67*g, -3*g = -12 for x. 16 Solve -35 + 6 = -n - 5*r, -18*r = 5*n - 13*r - 45 for n. 4 Solve 10*y = 4*a - 56, -2*a - 4*y + 513674 = 513664 for a. 9 Solve -34 = -4*h + v, 6*h - 3*h + 4*v + 85 = 2*h for h. 3 Solve i - 21 = i - 7*y, 28*y - 189*y = 4*i + 53*y - 481 - 97 for i. -16 Solve -142*n + 146*n + 66 = -2*b, -40*b + 200 = 0 for n. -19 Solve 2*h = 5*h - 5*q + 101, 10*h + 2*h + 4*q + 380 = 0 for h. -32 Solve -4*p = 4*b, -6*b + 4*p - p = 22*b - 5*p + 72 for b. -2 Solve -20*f = -25*f - 2*u + 3*u + 8, 0 = 4*f - u - 10 for f. -2 Solve 4*y + 37 = -w, 2*w - 211 = 24*y + 3*y + w for y. -8 Solve 4*u - 2*q - 12 = -0*q - 2 + 16, -3*u - 16*u = 14*q - 6 for u. 4 Solve -136 = -p + 2*a, 2*p + 244*a = 238*a - 408 for p. 0 Solve -3*o + 6 = -4*o, -43*z = -144*o + 141*o - 18 for z. 0 Solve -6*s + 3*s - 3*y + 9 + 11 = -s, y = -3*s + 44 for s. 16 Solve 0 = 13*k + 114*s - 115*s + 38 + 167, 3*k = 4*s - 36 for k. -16 Solve 0 = 4*u + 4*f - 92, -4*f + 43 = -370*u + 371*u - 7*f for u. 28 Solve 112 = 179*m - 361*m + 181*m - 13*k, -2*m = -k - 2 + 10 for m. -8 Solve -2*d + 4*w - 4 = 0, 6*w + 174 = -52*d - 40 for d. -4 Solve -98*a - 4*f = 228, -24941*a - 228 = -24943*a + 4*f for a. 0 Solve 0 = 3*n - 8*n - 4*p - 6, 2*n = 7*n + 23*p + 82 for n. 2 Solve -3*s + 18 = 3*c, 0 = s - 13*c - 283 + 277 for s. 6 Solve -8*b + 292*t - 290*t - 99 = -11*b, 12*b - 396 = 4*t for b. 33 Solve 3*o + 2*z + 119 = -2*z, -5333*o - 6*z - 170 = -5337*o for o. -1 Solve -3*u + 101 = 2*b, -18*u + 14*b + 12*b = 23*b - 591 for u. 33 Solve 4*a + 60 = -16144*s + 16147*s, 5*s - 100 = -9*a for s. 20 Solve 0 = -4*c - w - 1, 144*c + 19 = -143*c + 292*c - w for c. 2 Solve 12441*k - 3*m + 30 = 12447*k, 0 = -3*k + m for k. 2 Solve 6*p = 264, -170*h + 3*p - p = -165*h + 88 for h. 0 Solve 0*h + h = -4*a + 266 + 40 + 50, -3*a = -7*h - 267 for h. 0 Solve -2629*u + 1314*u + 185 = -1310*u + 7*z, -95 = -3*u - z for u. 30 Solve 937*z - 4*p = 936*z - 29, 25*z + 137 = 2*p for z. -5 Solve 3*n + 634*z - 318*z - 319*z - 36 = 0, 4*n - 5*z = 55 for n. 5 Solve 0 = 2*f - 5*w - 32, 3*f + 164 = -93*w + 212 for f. 16 Solve -3*t + 30*p = -8*p - 225, 0*t + 17365 = 2*t + 3*p + 17385 for t. -1 Solve 23*c + 2*d - 3*d + 38 = 0, -194*c + 4*d - 51 = -203*c for c. -1 Solve 630*q - 626*q - 30 - 14 = -4*c, 4*c + 16 - 38 = -2*q for q. 11 Solve -4*u = 2*s + s + 12, -10*u + 3*s - 9 = -21 for u. 0 Solve -27*i + 67*i - 18*i + 157 = -2*z + 17*i, -176 = z + 22*i for z. -66 Solve 0 = u + 15 - 21, -48 = -2*d - 8*u for d. 0 Solve -8*q - 76*g = -182*g + 268, -2*q = -5*g + 24 for q. -7 Solve 70*p = -9*c - 1427, -c - 21 - 14 = -p - 52 for p. -20 Solve -5*w - 2*a + 22 = -0*a, 6*a - 11 = -4*w + 11 for w. 4 Solve -73*w + 5*r + 242 = -176, 4*r = -2*w + 28 for w. 6 Solve -4*w + 9*w + 187 - 152 = -5*b, 4*w = 3*b for w. -3 Solve 0 = r - 9, -3192*h + 175 = -3188*h - 7*r + 26*r for h. 1 Solve 0 = 5*w + 9*z - 285 + 229, 0 = z - 0 - 4 for w. 4 Solve -7*m + 3*m + 5417 = 5513, -5*m = -2*g + 118 for g. -1 Solve 2*m + 0*v = -v + 103 - 86, 37*v = -4*m - 71 for m. 10 Solve -a + 2*o + 3712 - 3690 = 0, -4*a + 54 = -o - 44*o + 3 for a. 24 Solve 5*c + 14 = -4*w, 63*w - 58*w - 155 = 5*c - 150 for c. -2 Solve -t = -4449*w + 4452*w - 7, -5*w + 16 = -t - 17 for w. 5 Solve 3*c + 0 = q + q - 4*q - 66, 3*c - 3*q = -51 for c. -20 Solve -24*s - 5*s = 4*r - 31*s + 110, -22*r = 2*s - 84 for r. -1 Solve -4*h - 2*a = -0*h - 72, 544*h - 5051 = 1591*h + 4*a for h. -5 Solve 3326*o - 3325*o - 61 = 3*k, -5*o + 44*k = -914 for o. -2 Solve 2915430 = -4*b - f + 2915402, 50 = -5*b - 5*f for b. -6 Solve -115*v
{ "pile_set_name": "DM Mathematics" }
Solve y = -11*f + 5*f for f. -5 Let r be (3 - -9)/(18 + -17). Let f be 1/(-2)*(-15 + 3). Suppose z - f*z - 2*u = -35, 4*z - 10 = 2*u. Solve -2*w + z*w = r for w. 4 Suppose 7*y + 188 = 412. Let z be ((-3)/12)/((-2 + -2)/y). Solve z = -3*h + 5 for h. 1 Let l = 3200 - 3197. Solve 12 = -l*b - 3*b for b. -2 Suppose 3*c + 2 = -4*n, c + n + n = -2. Suppose -w + 36 = c*b, w + 5*b = -4*w + 165. Suppose -y = 4*y - w. Solve -v = 1 - y for v. 5 Suppose 10*y + 256 = -144. Let v = y - -124. Suppose 87*q = v*q. Solve -2*g - 3*g + 25 = q for g. 5 Let p be -5 + 3106/6 - (-1)/3. Let x = p + -452. Solve 56 = a + x for a. -5 Let a = 5047 + -4879. Solve 164*t - a*t = -20 for t. 5 Let b = 549 - 527. Solve -b = -13*q - 74 for q. -4 Suppose -6472*c + 72 = -6469*c. Solve 0 = 60*l - 48*l + c for l. -2 Suppose l - 10 = -0*q - 3*q, -2*l - 10 = -4*q. Suppose -2*i + 5*z = 15, -i - z = -q*i + 5. Solve 3 + 12 = -i*x for x. -3 Suppose -5*c - 10 + 40 = 0. Let n(m) = -7*m**3 - 27*m**2 + m - 3. Let z be n(-4). Solve z + c = -5*x for x. -3 Let c(d) = -5*d**2 - 11*d - 12. Let z(i) = -11*i**2 - 23*i - 25. Let t(w) = -5*c(w) + 2*z(w). Let q be t(-3). Solve q*f - 5*f = 0 for f. 0 Suppose 2*y = -0*y + 56. Let x be -1*(-12 - 2 - -17). Let p be ((-8)/y + x/14)*-6. Solve -k + p = -2*k for k. -3 Let l = -288 + 308. Solve 0 = 24*q - 4*q + l for q. -1 Let a(m) = m**2 - 3*m + 2. Let t be a(2). Let p = -155 - -161. Suppose -16 = -5*w - p. Solve t = -j - 3 - w for j. -5 Suppose -5*s + 17 = 2*v, -3*s - 3*v + 7 = 4. Suppose 92 = 5*r + 4*x, -4*x = -s*r + x + 110. Suppose 2*a - a - 2*o = 1, r = 5*o. Solve 1 = -2*m - a for m. -5 Suppose -5*l - 5 = 3*z, -3*l = 2*z - 4*z + 3. Suppose z = 4*j + 3*f + 8, 0*j + 2*j + 2*f + 6 = 0. Solve -2*s = -11 + j for s. 5 Let h(k) = -4*k**2 - 31*k - 50. Let u be h(-4). Solve -23*g = -u*g + 39 for g. -3 Let o be (12/(-14))/(14/(-49)). Let g be o/(((-1)/2)/1). Let y be 6 - 2 - 24/g. Solve m + m = y for m. 4 Suppose -203*k = -262*k + 3422. Solve -k*g = -67*g + 27 for g. 3 Let p be (-1)/2 + (-90100)/(-680). Solve -31*z + 9*z = -p for z. 6 Let t = -9 + 12. Suppose 4*r + 20 = 8, -2*u = -2*r - 6. Solve -3*h - t*h = u for h. 0 Let i be 27/(-36) + 3*38/24. Suppose 25 = i*o + 17. Solve o*h = 4*h + 4 for h. -2 Let s = 6897 + -6774. Solve 56*t + 11 = s for t. 2 Let j = -18 - -75. Suppose h - 21 = -3*i, -h + 5*h - j = -3*i. Solve o - 5*o = h for o. -3 Suppose -75 = -5*b + f + 4*f, -47 = -3*b + 4*f. Suppose 66 = b*n - 129. Solve n*c = 6*c + 45 for c. 5 Let c be (20/(-7))/((-4)/42). Let o(a) = a - 17*a**2 + 17 + 5*a - 14*a**2 + c*a**2. Let q be o(8). Solve -q = h - 2 for h. 1 Suppose -3*a - 4*a = -21. Suppose 0 = -7*b + a*b + 3*r, 5*b = r. Solve b + 1 = -i for i. -1 Let g = -7092 + 7097. Solve -455*f + 456*f = -g for f. -5 Let h(g) = 45 - 3*g**2 - 20*g - 11 - 16*g - 4*g. Let y be h(-14). Solve -y = -4*l + 2*l for l. 3 Let f = 21966 - 21933. Solve f*g - 162 = 6*g for g. 6 Let j(p) = 105*p + 5. Let i be j(0). Solve 16*v = 21*v - i for v. 1 Let c(f) = 2*f**3 - f**2 - 2*f + 4. Let o be c(1). Let a be 100/(-3)*9/(-6). Suppose o*h = a - 44. Solve -5*t = -h*t + 15 for t. -5 Suppose -2*p + 57 = b, p + 2*b = 4*p - 75. Solve -75 = -p*t + 6 for t. 3 Let r(i) = 26*i**2 - 27*i**2 - 9*i + 36 + 21. Let j be r(-13). Solve -4*p = j*p + 45 for p. -5 Let n(c) = 3*c**2 + 7*c + 4. Let y be n(-2). Let j be 2*(-2)/(-4)*y. Solve j*m = 6 - 10 for m. -2 Let v(w) = -w**2 + 9*w - 14. Let f be v(7). Suppose f = 8*g + 2 - 26. Solve 0 = -3*o + 6*o - g for o. 1 Let q be 257 - 79 - (9 + 2). Solve 0 = q*p - 165*p + 6 for p. -3 Let m = 9 - 13. Let f be 9/2 - 2/m. Suppose 0*d = -95*d - 102 + 482. Solve -f = -y - d for y. 1 Suppose 0 = -5*w - 1 + 16. Suppose -5*n = -4*b + 9, 3*n - b = -0*b - 4. Let r be 2*((-1)/n)/1. Solve -3 - w = -r*u for u. 3 Let p(n) = n**3 - 29*n**2 + 2*n - 55. Let u be p(29). Let z(y) = -y**3 + 3*y**2 - y - 2. Let t = -23 + 25. Let r be z(t). Solve -g + u*g - 4 = r for g. 2 Let u(m) = m**3 - 4*m**2 - 365*m + 740. Let t be u(2). Solve -57*i + 56*i + t = 0 for i. 2 Let o = -43981 - -43996. Let c be 0*2/4*-2. Solve c = -22*j + 19*j - o for j. -5 Suppose -2*s + 8 = -0. Suppose -2*x + y = -803, -4*x + 2*y = -x - 1203. Let n = -402 + x. Solve n = s*h - 5*h for h. -1 Let v(l) = l**2 + 229*l + 4741. Let u be v(-23). Solve 0 = -u*n - 162 + 156 for n. -2 Let q(u) = 4*u**2 + 8 - 3*u**2 - 1. Let d be q(0). Let h be (323/57 - 4/6)*57/95. Solve -h*r - d = 8 for r. -5 Let g be (0/53)/((-120)/(-21) + (-2)/(-7)). Solve 19*p + 8*p - 189 = g for p. 7 Suppose -84 = -97*k + 55*k. Suppose -q - r = -6, r - 4*r + 30 = 5*q. Suppose 0 = 5*z - 25, 3*v + 3*z - 3 = q*v. Solve -k*n + v = -4 for n. 4 Let i(n) = -n**3 - 8*n**2 + 9*n + 5. Let m be i(-9). Suppose 0 = 3*z + 10 - 16. Let k be z + (-20)/5 + 11. Solve k*o = 4*o - m for o. -1 Let m(b) = 16*b**2 - 94*b - 200. Let g be m(-2). Solve 20*v - 7*v = -g for v. -4 Let m(w) = -30*w - 14. Let l be m(-1). Suppose -d - 16 = -4*r, -3*r + l = 5*d - 19. Solve 0 = -12*j + r*j + 35 for j. 5 Let g = 28 - -28. Suppose 23*h - g = 9*h. Let q(p) = -p**2 + 6*p + 6. Let f be q(6). Solve d - f = -h for d. 2 Let p be (36/8)/((5/2)/(-5)). Let w be (-16 + 4)/2 - p. Solve r + 6 = w for r. -3 Suppose -19*h + 22*h - 27 = -s, 4*h + 3*s - 26 = 0. Solve -47 = 18*o - h for o. -2 Suppose -344 = -5*p - 14. Let d = -39 + p. Suppose 32*o - d*o = 15. Solve o*s = s + 2 for s. 1 Let i = -142 - -150. Let o be i*1/(9 + -5). Solve 3*m = o*m - 2 for m. -2 Let k(w) = w**2 - 103*w - 882. Let j be k(-8). Solve -j*v + 466 = 442 for v. 4 Let u be (-2)/(-1) - (1 - 3). Let p(q) = -q**3 - 8*q**2 + 11*q + 6. Let n be p(-9). Let w = n + 14. Solve -w*r - u + 2 = 0 for r. -1 Let s = -5375 - -5375. Solve s = -11*x + 32 + 34 for x. 6 Let w = -84 + 86. Suppose 0 = -17*d + w*d. Suppose d = -4*k - 4*h - 4, -8 = 5*k - k + 5*h. Solve k*f = f - 8 for f. -4 Suppose 3*m = 487 - 307. Let l be 1 - 1/(-3*5/m). Solve 9 = l*v - 1 for v. 2 Let s(r) = r**3 + 12*r**2 + 12*r + 14. Let l be s(-11). Suppose -l*g = -3*o + 27, g = -2*o - g + 6. Solve 0 = o*p - 2*p for p. 0 Let v be (768/320)/(2*2/30). Suppose -2*d = 2*y + 4, d - v + 0 = 4*y. Solve 0 = l - 6 + d for l. 4 Let f(x) = -17*x + 126. Let m be f(7). Suppose -22 = -4*u - m*u. Solve 5*p = 4*p + u for p. 2 Let b = -4 + 7. Let h be 4 + (3 - (b - 1)). Let c = -193 + 198. Solve h*p + 0 = -c for p. -1 Let r be (-90)/27*-3 + 1*-5. Let c be r + ((-3)/(-24) - (-1)/(-8)). Solve c*a + 3 = 18 for a. 3 Let w be (-9 + 5)/((-5 - -7)*-2). Let f be -7 + 11 - 0/w. Solve -f*y + 5*y = 2 for y. 2 Let d(o) be the third derivative of -o**6/120 - o**5/4 - 17*o**4/24 - 7*o**3 + 12*o**2. Let r be d(-14). Solve -3*g - g = r for g. 0 Suppose 44*p + 67 = 54*p - 113. Solve 19*b + p*b - 37 = 0 for b. 1 Let g(v) = 7*v - 59. Let l(p) = -36 - 28 + 4 + 28*p - 20*p. Let q(n) = -6*g(n) + 5*l(n). Let d be q(25). Solve -z - 20 = d*z for z. -4 Let s be 50/125*-15*(-4)/6. Suppose h - 20 = 3*b, s*b + 14 - 94 = -4*h. Solve -h = -5*l - 5 for l. 3 Suppose -2*q - 8*w + 46 = -4*w, 4*q - 128 = -2*w. Solve 0 = 36*l + 37 + q for l. -2 Suppose -12*s = -27*s - 15*s. Let g = 19 - 13. Let o be ((-3)/g)/((-2)/12). Solve o*z + 3 + 0 = s for z. -1 Let k be 4/(-10) - (3 + 232/20). Let j be ((-3 - 12)*(-50)/k)/(-2). Solve -j - 11 = -12*w for w. 3 Let o be 4/10 - (-26)/10. Let u(s) = s**2 + 21*s + 105. Let x = 74 - 88. Let j be u(x). Solve j = c + o for c. 4 Suppose 3*q + 0*q + 27 = 0. Let m be (-2)/q - (-2)/(-9). Let n be (-869)/(-237) - (-1)/3. Solve 4 = n*j - m for j. 1 Let n = 281 + -278. Suppose -n*m = -2*z + 6 + 18, 3*m = 3*z - 39. Solve 5 = 4*g - z for g. 5 Let v(f) = f**3 + 15*f**2 + 11*f - 40. Let i be v(-14). Suppose 2*j = -2*c + 10, i*j + 20*c - 16*c = 20. Solve j*u + 16 = 4*u for u. 4 Let q(o) = 3*o - 13. Let f(v) = -3*v + 12. Let m(d) = -4*f(d) - 3*q(d). Let z be m(3). Solve 15*j - 19*j = z for j. 0 Let z(n) = 128*n - 8. Let w be z(-5). Let y be (-4)/(-7) + -1 + w/(-42). Solve 5 = 2*g + y for g. -5 Let c be (-7 + 2)*104/(-65). Solve c*t + 31 = -9 for t. -5 Let u = 30 - 22. Suppose 4*h = c + u, -3*h + 22 = -h + 4*c. Let x be (2 + (-6)/7)/(20/70). Solve i + x = -h*i for i. -1 Let c = -7 - -31. Suppose 3*h - c = h. Suppose h = -v + 13. Solve -j = -2 - v for j. 3 Suppose 33 + 46 = 3*g + p, -3*p - 99 = -3*g. Suppose -2 = -6*u + g. Su
{ "pile_set_name": "DM Mathematics" }
- 10 = -l, 3*l = 4*l - x*t + 11. Let f(a) = 5*a + 58. Let b be f(-11). Solve l - 7 = -b*y for y. 1 Let l be (-6)/(-24)*1 - (0 - (-102)/(-8)). Suppose -3*o - 3*i = -i - 11, 0 = -2*o + 4*i + 18. Solve -7 = o*h + l for h. -4 Suppose -j - 110 = -2*q, -136 = -4*q - 2*j + 84. Let g be ((-114)/(-4) + -28)/((-2)/(-184)). Let p = q - g. Solve -5 = i - p for i. 4 Let j = 3845 + -3799. Solve j = -67*v - 88 for v. -2 Let f(o) = o**2 - 7*o + 7. Let r be f(8). Let h = 25 - r. Let p be (-4)/(-5)*(-5 + h). Solve 2*j = p + 6 for j. 5 Suppose -266 = -3*g + 5*s, 3*s + 222 = 5*g - 184. Solve -g*o = -54*o + 184 for o. -8 Let l(f) = 44*f - 2149. Let r be l(50). Solve r - 63 = -3*i for i. 4 Suppose 0 = 3*l - 2*o + 3 + 20, -5*l - 43 = -o. Let a be (-10)/(-45) + 29/l. Let v be (1 + 4)*(-1 + (-6)/a). Solve -8*s = -3*s - v for s. 1 Let m be 37 - 3*(-2 + 1). Let y = 41 - m. Suppose -2*f - y = -7. Solve -3 = -f*r + 3 for r. 2 Let h = -466 - -531. Solve -7*j - h = -100 for j. 5 Let g(h) = -h**2 + 87*h - 1481. Let z be g(63). Solve 0 = -2*s - z*s - 165 for s. -5 Let v = -730 - -780. Solve -v*p = -11*p for p. 0 Let b = 2734 + -2631. Solve b*v = 127*v + 48 for v. -2 Let b be (-52)/156 + (-148)/(-3) + 1. Let h(n) = n**3 + n**2 - n. Let c be h(0). Suppose c = q + 9*q - b. Solve -5*i = -4*i + q for i. -5 Let l = -18 + 214. Let v = 4549 + -4355. Suppose -2*k + l = v. Solve p - 3 + k = 0 for p. 2 Suppose o - 18 = -2*o. Let x = 67877 + -67849. Solve -x*y = -25*y - o for y. 2 Suppose -31*q - 9*q + 2347 + 733 = 0. Solve -5*x = -16*x + q for x. 7 Let j be 103*1 + (-17 - -14). Suppose 20*n = -j + 240. Solve n*w - 3*w = -4 for w. -1 Let z(p) = -2*p**2 + 20*p + 5. Let w be z(8). Suppose 19 = 14*g - w. Solve g*v + 2 - 14 = 0 for v. 3 Suppose 5710 + 5576 = 27*y. Solve -6 = 419*c - y*c for c. -6 Let u(l) = -63*l - 295. Let h be u(-5). Solve 5*k - h = -50 for k. -6 Let d(y) be the first derivative of -y**3/3 + 31*y**2/2 - 21*y - 64. Let m be d(30). Solve 9*n - 36 = m for n. 5 Let v be 38/2 + -3 + 2. Suppose c - 41 = -5*f, -c + 26 = 2*f - 9. Suppose 0 = 3*q + 5*z - c, -q + 4*z - v = -0*q. Solve 3*b - q = -11 for b. -3 Suppose -86*j = -3242 - 5788. Solve 1132*o + j = 1117*o for o. -7 Let a(g) = 14*g**2 - 13*g + 16. Let w be a(2). Suppose -3*z + w + 4 = 5*v, -3*v = 5*z - 94. Solve -z = -y - 3*y for y. 5 Let q(d) = 49*d**2 - 21*d + 54. Let f be q(3). Suppose 14*k = -22*k + f. Solve 52 = -k*v - 8 for v. -5 Let m(g) = 2*g**3 + 9*g**2 + 6*g + 59. Let a be m(-5). Solve -8 = -a*f - 16 for f. -2 Suppose 2*f - 1 = v - 4, 3*f + 3*v = 0. Let y be 2*4*f*(-2)/4. Suppose 5*t = 6*t. Solve t*s = -y*s + 4 for s. 1 Suppose 0 = -5*j + 2*l + 96, -9 = -2*j - 2*l + 21. Suppose 5*p - 4 = p, -2*p - j = -4*q. Suppose 0 = q*d - 30. Solve 3 = z + d for z. -3 Suppose -5*c - 6 = -2*w, 0 = w - 4 + 1. Suppose 17*y = -8*y + 1875. Let x = -75 + y. Solve c = -x*s - 3*s for s. 0 Let s = 62 - 59. Suppose -2*k = 4, -k - 8 = l + s*k. Suppose l = b - 4*b. Solve -v + b*v = 0 for v. 0 Let h be (-126)/(-147)*(-3 + 87). Suppose 0 = -62*v + 50*v + h. Solve 12 = -0*k - v*k for k. -2 Let z = -58 - -160. Suppose -4*c + z = -2*c. Let l = c - 42. Solve 4*u + l = 1 for u. -2 Let u(k) = -7*k - 8. Let o be u(-4). Let q be ((-3)/4 + 15/o)/(-1). Suppose 2*g + q*g - 10 = 0. Solve -3*i - g = -2 for i. -1 Let r(n) be the second derivative of n**4/12 - 15*n**2/2 - 17*n. Let v(f) be the first derivative of r(f). Let t be v(1). Solve 0*p = p + t for p. -2 Suppose -2*s + 2*n = -s + 9, -n + 3 = 0. Let j(w) = -2*w**3 - 5*w**2 - 5*w - 3. Let q be j(s). Let b be 2/5 + 3 + q/(-15). Solve -b*g = -g for g. 0 Suppose 168 = 63*d - 21*d. Solve -29*a - 100 = -d*a for a. -4 Let u = 243 + -241. Let b be (80/(-32))/(u/(-4) + 0). Solve 3*o = 1 + b for o. 2 Let w = 255 - 138. Let x = 124 - w. Let h be 58/10 - 8/10. Solve x*a = h*a - 2 for a. -1 Let o = 16 + -10. Suppose -117*f = -114*f - 2*a + 31, -5*f = a + 43. Let p be (-12)/2 + (-189)/(189/f). Solve -3*r - p = o for r. -3 Suppose -4*a - 5*r = 15 - 43, 0 = -2*a - 3*r + 14. Solve -8*l + a = -9*l for l. -7 Let v(g) = -375*g - 357. Let w be v(-1). Solve -14*o + w = -11*o for o. 6 Suppose 2*j = 2*c - 32, -5*c - 5*j - 42 = -112. Let m be -2*(2 + c/(-6)) + 4. Suppose 0 = 3*t - 8 - 22. Solve 0 = -m*f - t for f. -2 Suppose -2*u - 4*r + 5 - 53 = 0, 4 = r. Let k = u - -36. Let d = -2 + 10. Solve 0 = -2*l + k*l - d for l. 4 Suppose -4*n = 4, -3*a + 5*n = -2*a - 9. Let r(m) = 2*m**3 - 72*m**2 - 55*m - 703. Let k be r(37). Solve k = -5*l + 5*l + a*l for l. 0 Suppose -31*s - 84 = -5*z - 29*s, -3*z + 56 = -2*s. Solve -34*p = -27*p + z for p. -2 Let b be 4 - (-3)/(-3) - 2. Let p be (-8 - -23)*b/3. Suppose 5*j - p*n = -3*n + 5, 2*n - 22 = -4*j. Solve 0 = -j*g - g for g. 0 Suppose 5*c = -x - 3*x + 176, -5*x + 20 = 0. Suppose c = 8*h - 8. Let q be ((-10)/h + 2)/1. Solve q = -m + 3 for m. 3 Suppose 0 = -l + 3*b - 56, 25 = -l + 5*b - 23. Let a = 79 + l. Suppose -4*r + 4*o + 8 = -12, -5*r - 2*o = -18. Solve -5*m + a = -r for m. 3 Let b(o) = o**3 - 11*o**2 + 2*o - 14. Let g be (4/3)/((-36)/(-54)). Suppose g*w - 10 - 12 = 0. Let k be b(w). Solve -r - k = -3 for r. -5 Let r be 600/48 - 3/(-6). Solve -3*w - r = 5 for w. -6 Let u = -870 + 1339. Solve u*r - 478*r - 63 = 0 for r. -7 Suppose -39 = -3*c - 3*m, 2*m + 3 = 13. Solve -c*n + 26*n = 9*n for n. 0 Suppose -11*n = -12*n + 60. Suppose -10*a + n = -10. Let h be (2 - -1) + 1 + -2. Solve 0 = -a*l + h*l + 5 for l. 1 Let m(u) = u**2 - 25*u + 162. Let o be m(13). Solve b + o*b = -13*b for b. 0 Let x = -598 + 1186. Solve -5*z + 603 = x for z. 3 Suppose 0 = -2*f - 4, -i + 20 = 3*f - 5*f. Solve i*q - 117 = -85 for q. 2 Suppose 0 = 3*r - 6, -3*w - 117 = -5*r - 107. Solve 19*u + 105 + 28 = w for u. -7 Let g be (-2)/(8/(-90))*8/10. Suppose -54 = -g*z - 0*z. Let l be 1 + (0 - 1*-2). Solve -l = z*d - 0 for d. -1 Let x(h) = -h**3 - 13*h**2 - 24*h - 16. Let n be x(-11). Let p be n/4*(-1 + 3). Solve 0 = k - p*k - 6 for k. -3 Suppose a + 4*m + 17 - 15 = 0, -2*m - 8 = -3*a. Suppose -r = -1 - a, 0 = -p - r + 6. Solve t - p = 2 for t. 5 Let q be (-4350)/(-30) + 2*(1 - 0). Suppose w - q + 128 = 0. Solve -w*z = -15*z - 16 for z. 4 Let a be 4/14 - 4/14. Let f be 21/3 - (-3 - (-3 + a)). Suppose -5*d + f + 3 = 0. Solve -x + 3 = d*x for x. 1 Let c(m) = m**3 + 14*m**2 + 47*m + 20. Let t be c(-9). Solve 0 = -219*k + 221*k + t for k. -1 Let o = 269 + -227. Suppose -52*w + o*w = -60. Let j(r) = -r**3 - r**2 + 2. Let f be j(-2). Solve -8*t = -w*t - f for t. 3 Let t(h) = -582*h + 4678. Let q be t(8). Solve -40 = 14*l - q*l for l. 5 Let y = -3790 - -3819. Solve -46 - 41 = y*f for f. -3 Let v(b) = 19*b + 116. Let c(p) = -2*p**2 + 50*p - 54. Let r be c(24). Let f be v(r). Solve -f = s - 0*s for s. -2 Let s(c) = -c**3 - c**2 - c + 322. Let z be s(0). Let a = 323 - z. Solve 2*d + 5 = -a for d. -3 Let x be (3 + -2)/((-19)/(-76)). Suppose 4*c + 13 = 1, 0 = x*p + 3*c + 9. Solve -2*r + r - 5 = p for r. -5 Suppose -25*c + 9 = f - 263, -3*f + 35 = 4*c. Solve 0 = -c*m - 7*m for m. 0 Let a(x) = 2*x**3 - 13*x**2 - 5*x - 12. Let f be a(7). Suppose 0 = s + 4*r + 2, 11 = 4*s + f*r + 5. Solve s*u + 4 = 8 for u. 2 Let b be ((-3)/(-3))/(1/3). Let x(g) = -g**3 - 9*g**2 - 13*g + 11. Let a be (-705)/105 + 4/(-14). Let i be x(a). Solve i*r = b*r + 2 for r. 2 Let q be 1/4 + (3/14 - (-55512)/2016). Solve 0 = q*f - 2 - 26 for f. 1 Let k be ((-55)/(-4))/((-44)/(-176)). Solve 8*i + k = 79 for i. 3 Let j be ((-1)/3)/((-2)/9 + 1250/5760). Solve j = 22*a + 20 for a. 2 Suppose 88 = -5*t + 4*u + 299, 5*t = -2*u + 217. Solve t*w + 49*w = 276 for w. 3 Let t(b) = 16*b**2 + 66*b - 183. Let m be t(2). Let a(n) = 12*n + 1. Let y be a(1). Solve l + y - m = 0 for l. 0 Suppose 239*r - 234*r = 25. Solve -46*h + r = -41*h for h. 1 Let q = -1 + 0. Let a be 2 - (-2 + 1 + q). Let l be 6/(-9) + (132/9)/4. Solve -a*c = -l*c - 2 for c. 2 Suppose -5*o = -5*r - 45, -4*o + 22 = -2*r - 8. Suppose o*f - 123 = -39. Solve 0 = 11*q - f*q for q. 0 Let j(l) = 5 + l**3 + 3*l - 2 + 2*l**2 - 26*l - 4. Let k be j(4). Solve k*q - 2 - 4 = 0 for q. 2 Let v = -174 + 173. Let l(x) = -6*x**3 - x**2 + 1. Let k be l(v). Solve -o + k = -4*o for o. -2 Suppose -v + 17 = 4*z, 0 = 376*z - 377*z + 4. Solve -7*d - v - 34 = 0 for d. -5 Suppose -118*h - 3520 = -278*h. Solve -h - 2 = -12*y for y. 2
{ "pile_set_name": "DM Mathematics" }
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17616 -63405 (base 7) to base 3 -210110010 What is 1162 (base 9) in base 7? 2345 Convert 1001111 (base 4) to base 15. 138b What is -1101100100 (base 2) in base 7? -2350 Convert -10030101 (base 4) to base 9. -25486 9470 (base 11) to base 4 3003330 What is -40042 (base 9) in base 7? -136424 -66da (base 15) to base 14 -7d37 What is 32033020 (base 4) in base 12? 298b4 Convert -1211202 (base 4) to base 11. -4978 -650 (base 16) to base 6 -11252 Convert 3484 (base 15) to base 14. 40c5 -1125 (base 9) to base 5 -11313 a11 (base 11) to base 13 730 12220111 (base 3) to base 6 31534 1120012 (base 4) to base 3 21201211 What is 111223 (base 4) in base 15? 627 110101100011100 (base 2) to base 9 41546 What is 1071 (base 10) in base 2? 10000101111 Convert -126 (base 14) to base 7. -446 Convert 100021201 (base 3) to base 13. 3109 What is 1110011101 (base 2) in base 10? 925 What is 13300322 (base 4) in base 8? 76072 What is -6982 (base 16) in base 15? -800a What is -212301 (base 5) in base 2? -1110000100001 -5092 (base 11) to base 5 -204011 What is 11000110011010 (base 2) in base 3? 122102022 4024 (base 10) to base 8 7670 Convert -64b7 (base 12) to base 5. -323313 -589 (base 12) to base 5 -11300 Convert -107 (base 14) to base 9. -245 Convert 1a8 (base 13) to base 5. 2212 What is 1139 (base 11) in base 9? 2040 Convert -7e (base 15) to base 7. -230 Convert -1653 (base 8) to base 2. -1110101011 Convert 11b8 (base 16) to base 15. 1526 -3217 (base 8) to base 11 -1297 What is -67 (base 9) in base 4? -331 -23320 (base 6) to base 2 -110100100000 What is -303231 (base 4) in base 14? -12c5 Convert 19b (base 15) to base 14. 1c7 -2a6c (base 14) to base 3 -101100102 77 (base 16) to base 6 315 What is -110272 (base 8) in base 7? -213006 -3 (base 6) to base 5 -3 100011110110111 (base 2) to base 15 568e What is b93 (base 16) in base 7? 11432 7b30 (base 13) to base 14 6421 6661 (base 8) to base 9 4724 36a5 (base 11) to base 2 1001011100010 What is 1031522 (base 6) in base 13? 1a267 Convert 54344 (base 9) to base 15. aa04 1111100010010 (base 2) to base 13 380b Convert -5736 (base 8) to base 12. -1912 What is -3041 (base 9) in base 7? -6325 1001001100001011 (base 2) to base 13 14198 6 (base 9) to base 10 6 Convert 1424044 (base 5) to base 11. 20511 Convert -836 (base 12) to base 6. -5310 -201111 (base 4) to base 15 -973 Convert 20102210 (base 3) to base 12. 2870 -2044221 (base 5) to base 16 -8607 Convert a26 (base 14) to base 5. 30434 Convert 6362 (base 7) to base 5. 32444 18e (base 16) to base 8 616 What is 4134 (base 7) in base 16? 5a6 What is 552 (base 10) in base 2? 1000101000 What is 11203110 (base 4) in base 13? a473 252033 (base 6) to base 13 a308 What is 12865 (base 11) in base 15? 567c -4441 (base 8) to base 6 -14453 100200020 (base 3) to base 16 1b8d What is -1999 (base 14) in base 6? -33255 What is -578 (base 9) in base 5? -3401 Convert 1101101100100011 (base 2) to base 4. 31230203 Convert -1022 (base 4) to base 5. -244 Convert 906 (base 11) to base 8. 2107 -473 (base 12) to base 13 -3c0 What is -263 (base 12) in base 4? -11223 What is -300330 (base 4) in base 5? -100012 Convert 1021321 (base 5) to base 7. 100546 Convert 12313 (base 5) to base 9. 1274 What is 910 (base 15) in base 3? 2210120 What is -69c (base 13) in base 15? -513 Convert -535 (base 7) to base 5. -2041 4b22 (base 12) to base 2 10000101001010 -103321231 (base 4) to base 11 -56277 Convert -13324 (base 7) to base 4. -320023 Convert -6445 (base 10) to base 5. -201240 Convert 1523 (base 8) to base 11. 704 What is -1121022 (base 5) in base 9? -30554 Convert -15513 (base 6) to base 4. -220011 What is 36 (base 10) in base 13? 2a What is -1030 (base 4) in base 3? -2211 What is -61 (base 8) in base 10? -49 Convert 1144 (base 7) to base 5. 3144 -3426 (base 14) to base 11 -6888 1382 (base 13) to base 8 5372 What is -23031 (base 6) in base 15? -e74 What is -78f (base 16) in base 7? -5433 Convert -20b95 (base 12) to base 4. -22202201 Convert -816e (base 15) to base 14. -9d61 Convert 17441 (base 8) to base 16. 1f21 What is 1074 (base 8) in base 15? 282 Convert 1000001111000 (base 2) to base 11. 3193 Convert 147 (base 9) to base 5. 444 What is -1111111010 (base 2) in base 9? -1351 What is -b37 (base 12) in base 15? -737 What is 313232 (base 4) in base 5? 103231 What is -101221 (base 3) in base 16? -127 What is 10320 (base 5) in base 2? 1011000110 What is -10101011110 (base 2) in base 9? -1786 Convert -142 (base 13) to base 10. -223 -232112 (base 7) to base 13 -15bc0 Convert -274 (base 14) to base 10. -494 2546 (base 7) to base 3 1022202 What is 2dd (base 14) in base 11? 494 1120 (base 5) to base 6 424 Convert 33923 (base 10) to base 2. 1000010010000011 Convert 20302 (base 4) to base 7. 1432 -14147 (base 10) to base 9 -21358 12014 (base 5) to base 9 1182 -100010000011000 (base 2) to base 15 -5272 Convert -439 (base 16) to base 4. -100321 What is -290 (base 10) in base 14? -16a What is -10406 (base 9) in base 2? -1101011101011 Convert -121200 (base 3) to base 4. -13002 Convert -21424 (base 5) to base 6. -10521 What is 110010111001 (base 2) in base 10? 3257 40a (base 14) to base 8 1432 What is -343250 (base 6) in base 4? -13021032 Convert 94b (base 16) to base 8. 4513 Convert cf (base 16) to base 6. 543 -71479 (base 10) to base 14 -1c099 Convert 1112200221 (base 3) to base 7. 154426 Convert 20424 (base 5) to base 14. 6d6 Convert 11421 (base 5) to base 7. 2340 Convert 3544 (base 10) to base 9. 4767 13303 (base 6) to base 7 5664 51e (base 15) to base 8 2202 What is 111011 (base 5) in base 10? 3881 What is 100001010 (base 2) in base 13? 176 3003 (base 4) to base 16 c3 Convert -12220 (base 3) to base 11. -135 Convert 2289 (base 12) to base 3. 12021120 Convert 1b45 (base 12) to base 9. 4548 What is 5422 (base 6) in base 14? 646 What is 13332 (base 4) in base 16? 1fe 2127 (base 9) to base 2 11000011100 Convert 3534 (base 12) to base 11. 4514 Convert -17b3 (base 13) to base 7. -13165 Convert -1311 (base 9) to base 5. -12412 10101111 (base 2) to bas
{ "pile_set_name": "DM Mathematics" }
+ 4 + 0*f**2 + o*f**2. Determine x(3). 7 Suppose -5*v + 18 + 2 = 0. Let h(n) = n - 4 + v*n - 2*n - 1. What is h(4)? 7 Let n(w) = 19*w - 5. Let s(z) = 1. Let j(y) = -n(y) - 4*s(y). Determine j(-1). 20 Let s be (2 - 2)*(4 + -3). Let o(c) = c. What is o(s)? 0 Let w be (5/10)/((-2)/(-32)). Let y be (-2)/w - (-10)/8. Let m(n) be the third derivative of -5*n**4/12 + n**3/6 + 2*n**2. Calculate m(y). -9 Suppose -5*u + u = 4. Let x(n) = -10*n - n - 4*n. Give x(u). 15 Let d(k) = -k**2 + 2*k + 3. Let c be d(-2). Let j(y) be the third derivative of -y**4/12 - 2*y**3/3 + 21*y**2. Determine j(c). 6 Let g(k) = k**3 - 7*k**2 + 7*k - 8. Let u be g(6). Let c(w) = -w - 4. Let b be c(-4). Let z = b - u. Let l(f) = 3*f. Give l(z). 6 Let b(o) = o**2 + o. Let j(c) = -2*c**2 + 4*c + 1. Let k(d) = 5*b(d) - j(d). Determine k(1). 7 Let x = -15 + 20. Suppose 0*j - x*j - 20 = 0. Let l(o) = o + 1. Calculate l(j). -3 Let x(l) be the second derivative of l**3/6 - 7*l**2 + 23*l. Calculate x(12). -2 Let x(c) = -2*c**2 + c + 2. Let j(h) = h - 3. Suppose -2 = -3*p - 2*w, -w = -p - 5*w - 16. Let f = p - -1. Let l be j(f). What is x(l)? -4 Suppose -1 = 3*j + 3*q + q, -2*j - 10 = 5*q. Let l(g) = g + 2. Determine l(j). 7 Suppose 6 = 4*c - 6*c. Let f be 3 - 4*(-3)/6. Let y(b) = 6 + f*b + 4*b - 7*b - b. Give y(c). 3 Let g(y) = 2*y**2 - 1. Let h = -3 - -5. Suppose -3*w + 6*w + 12 = 0. Let s = w + h. What is g(s)? 7 Let c be ((-6)/12)/((-1)/5). Let l(v) be the second derivative of -2*v - 1/6*v**3 + 0 - c*v**2. Calculate l(5). -10 Let n(y) = -y**2 + 6*y + 7. Let c be n(7). Let i = 2 + c. Suppose -5*r + i*h - 13 = 0, r - 4*h + h = 0. Let g(p) = p**2 + 2*p + 2. Determine g(r). 5 Suppose 5*r = -3*j - 23, 4*r - 8 - 18 = 5*j. Let p(f) be the second derivative of f**4/12 + 5*f**3/6 + f**2 - 20*f. Determine p(j). 8 Let h be 1 - (0 - -1) - -2. Let i(u) = h*u - 3 + 2*u + u - 6*u. Calculate i(3). -6 Suppose -x - 2*x + 18 = 0. Let r(v) = v**3 - 7*v**2 + 8*v - 6. What is r(x)? 6 Let j(m) = -2*m + 1. Let d(x) = -6*x + 3. Let q(f) = 2*d(f) - 7*j(f). What is q(-2)? -5 Suppose 3*i - 131 = -41. Let h be 16/20*i/4. Let m(o) = 3*o - h*o + 0*o. Calculate m(-1). 3 Let c(i) = -3*i**3 + 9*i**2 + 14*i + 7. Let r(d) = 7*d**3 - 18*d**2 - 29*d - 13. Let b(n) = -9*c(n) - 4*r(n). Determine b(-8). 5 Let h be -2 + -4*1/(-2). Let u(w) = -8 - 11*w - 4 + 12*w. Give u(h). -12 Let r(k) = k**3 + 2*k**2 - k. Let f(h) = 20*h - 4. Let l be f(4). Suppose 2*b + o = -35, b + l = -3*b + 4*o. Let i be (3/(-6))/((-3)/b). Give r(i). -6 Let v be (-6)/1 + (4 - 0). Let c(m) = 4*m**2 + 1. What is c(v)? 17 Let n be 3/(-18)*3*-14. Let v(o) = -o**2 + 6*o + 7. What is v(n)? 0 Suppose 5*o - 6 = 3*o. Suppose 4*q = -9 - o. Let d(b) = -b**2 - b + 1. What is d(q)? -5 Let t be (-18)/(-4)*(-4)/(-6). Suppose 5*s + 2*z - 34 = 0, -16 = -t*s + z - 0*z. Let q(h) = h**3 - 7*h**2 + 8*h - 9. Determine q(s). 3 Let m(l) be the third derivative of l**9/60480 - l**8/20160 - l**7/5040 + l**5/20 - 5*l**2. Let f(n) be the third derivative of m(n). Give f(-1). -1 Let h(n) = 17*n**2 - 3*n + 3. Let u(b) = 25*b**2 - 5*b + 5. Let f(r) = -8*h(r) + 5*u(r). Give f(1). -11 Let t(r) = r**2 + 2*r. Let n be t(-3). Suppose 1 + n = -k. Let h(b) = b**3 + 5*b**2 + 4*b - 4. Give h(k). -4 Suppose -5*d + 7*d = 16. Let h(p) = p**2 - 9*p - 2. Calculate h(d). -10 Suppose 3*g - 3 - 6 = 0. Let x(a) = -a**3 + 4*a**2 - a - 4. Determine x(g). 2 Suppose 5*i - 15 = -5. Let z(f) = -4*f**3 - 2*f**2 + 4*f - 6. Let l(g) = 7*g**3 + 3*g**2 - 8*g + 11. Let a(n) = 3*l(n) + 5*z(n). What is a(i)? -1 Let u = 1 - 1. Suppose -3*z + 12 = -u. Let b be -1 + z + -1 - -3. Let w(r) = -r. Determine w(b). -5 Let a(x) = -8*x**3 - 3*x**2 + 6*x**3 - 1 + 6*x - x**2 + x**3. What is a(-5)? -6 Let w be 4*(-2 + (-20)/(-8)). Let t(z) be the second derivative of 0*z**3 - 2*z**2 - 1/12*z**4 + 0 + w*z. Calculate t(0). -4 Suppose -20 = 2*t - 4*p, -3*t + 7*p - 4*p - 21 = 0. Let f(c) = -c**2 - 4*c + 5. What is f(t)? 5 Let h(z) = -6*z**2 + 7 - z + 4*z + 0 + z**3. Let i be ((-3)/(-2) + (-4)/1)*-2. What is h(i)? -3 Let h(p) = p - 8. Let t be 148/18 + 12/(-54). Let i(c) = c**3 - 9*c**2 + 9*c - 8. Let u be i(t). Suppose x = -u*x. Calculate h(x). -8 Let u(d) be the second derivative of d**5/20 + d**4/3 - 2*d**3/3 + 3*d**2/2 + 7*d. What is u(-5)? -2 Let p(v) = 5*v. Let i(c) = -c**3 + 4*c**2. Suppose -2*y + 2 + 6 = 0. Let w be i(y). Suppose 2*m + 2 = -w*m. Calculate p(m). -5 Let s(o) = o - 2. Suppose 2 = 5*h - 0*i - i, 3*h = 4*i + 8. Calculate s(h). -2 Let b(p) be the first derivative of p**4/2 - p**3/3 + p**2/2 - p + 26. Determine b(2). 13 Let u(k) = -k**2 + 3*k + 13. Let g(t) = 2*t**2 - 3*t - 14. Let d(o) = 5*g(o) + 6*u(o). Let a(j) be the first derivative of d(j). Give a(-2). -13 Let l(q) = q - 2. Let x be l(1). Let m(r) = r + 1. Let s(i) = -3*i + 2. Let n(d) = x*s(d) - 2*m(d). Let h(y) = y - 1. Let f be h(3). Calculate n(f). -2 Let y be -1 - (-2 + 0 - 1). Let x(h) = h. Calculate x(y). 2 Let a(o) = 4 - 5 + 11*o - 1 - o**2 - 15*o. Give a(-3). 1 Let x be (-1 - (-8)/12)*-15. Let r(b) = b**3 - 3*b**3 + 4*b**2 + 6 + 3*b + b**3. Determine r(x). -4 Let i be (-3)/(-9)*18/3. Let c(w) = 0*w - w**2 + 0*w - 5*w + 2*w**2 + i. Give c(5). 2 Let f(d) = 3*d**2 - 17*d - 12. Let v(h) = h**2 - 6*h - 4. Let n(i) = 4*f(i) - 11*v(i). Suppose 5 = -4*c + 1. Let k be 2/c - (-8 - -2). Calculate n(k). 4 Let u(s) = 7*s - 12. Let i(m) = 7*m - 13. Let t(h) = -5*i(h) + 6*u(h). Give t(5). 28 Let f = -53 + 47. Let u(q) = 11 - q + q + q. Calculate u(f). 5 Let t(j) = -3*j**3 - 8*j**2 - 2*j - 1. Let n(h) = 4*h**3 + 9*h**2 + 3*h. Let r(o) = -2*n(o) - 3*t(o). Suppose 2*d = -4*c - 34, d + 23 = -3*c - 0*d. Give r(c). 3 Let k(s) be the second derivative of 0 + 2*s**2 + 1/2*s**3 + 2*s - 1/12*s**4. Give k(4). 0 Let t(v) = 4*v - 3 + 8*v - v**2 - 3*v - 2*v. Let i = 12 + -7. Calculate t(i). 7 Suppose 5*f + 17 = -4*n, 0 = -3*n + 5*f - 4*f - 8. Let j(k) = k. Give j(n). -3 Let j(z) = z**2 - 6*z + 8. Let l be 6 - (7 - 5) - -2. Calculate j(l). 8 Let b(g) = -2*g - 2. Let p = -2 + 6. Let u(t) = t**2 - 3*t - 1. Let j be u(p). Determine b(j). -8 Let j(g) be the first derivative of -g**4/4 - 4*g**3/3 + 3*g**2/2 - 2*g - 5. What is j(-5)? 8 Let j = -8 - -14. Let f(m) = -m + 7. Calculate f(j). 1 Let k(b) = -b. Let l = 6 - 4. Let g be ((-3)/l)/((-3)/8). Suppose -g = c - 3*v, -v + 4*v = 3. Determine k(c). 1 Let c(p) = -p**2 + 6*p - 6. Suppose -l + 3 = 4, -2*m = -5*l - 17. Give c(m). -6 Let o(u) = -u**2. Let q(k) = -4*k + 1. Let d be q(-1). Let p be (-27)/(-5) - 2/d. Let n(b) = -b + 6. Let a be n(p). Determine o(a). -1 Let f(w) = 4*w - 11 + 17 - 8. What is f(-2)? -10 Let w(k) = k**3 - 6*k**2 + 6*k. Let d be w(5). Let x be (-9)/(-3) + (-3)/1. Let c(m) = x + 5*m + 6 - 13*m**2 + 12*m**2. Determine c(d). 6 Let l = -1 + -3. Let n(y) be the second derivative of -y**6/120 - y**5/15 - 5*y**3/6 + y**2 + 2*y. Let r(w) be the first derivative of n(w). Give r(l). -5 Suppose -24 = 2*a + 6*q - q, -3*a - 18 = 3*q. Let j(b) be the first derivative of -b**4/4 - b**3/3 + b**2 + 2*b - 2. Calculate j(a). 2 Let u(p) = 2*p**2 + 8*p. Let t(i) = -2*i**2 - 9*i - 1. Let m(k) = 2*t(k) + 3*u(k). Give m(-5). 18 Let i(x) = -6*x - 23. Let d be i(-4). Let y(k) be the first derivative of k**4/4 - k**3/3 - 1. Give y(d). 0 Let q(p) = -p + 1. Let t = -15 - -22. Let s = t + -2. Give q(s). -4 Let t(k) = 2*k**2 + 2*k - 7. Let f(w) = -w**2 - w + 7. Let n(u) = -3*f(u) - 2*t(u). Let j = -2 - 3. Let o = j + 5. Give n(o). -7 Let o(m) = -3 - 7*m**2 - m + 7*m + 0*m**3 + 2*m + m**3. Suppose -10 = 6*l - 8*l. Calculate o(l). -13 Let g(s) be the first derivative of s**5/60 + s**4/4 + 7*s**3/6 - s**2 - 3. Let f(i) be the second derivative of g(i). Determine f(-5). 2 Let p(q) = 0*q + 3*q**2 + 4 - 3*q - q. Let f(l) = -2*l**2 + 3*l - 4. Let c be (11 - -1)*1/(-3). Let m(t) = c*f(t) - 3*p(t). Give m(0). 4 Let x(r) be the first derivative of r**7/840 - r**6/72 + r**5/60 + r**4/6 - 5*r**3/3 + 8. Let p(l) be the third derivative of x(l). Calculate p(3). -8 Let n be -2 - (4/2 - 50). Suppose -5*v + 0*u + n = -3*u, -2*u = -2*v + 20. Suppose 8*w - 3*w + d + v = 0, 5*d - 10 = 0. Let y(r) = -r**2 - 2*r - 1. Give y(w). -1 Suppose -5*c - 3 = -2*c. Let n = c + 3. Let l(j) = 3 - 3*j**n + 0*j**2 + 0 - j**3 + 4*j. What is l(-4)? 3 Let r be 3/(-2)*(-2)/3. Sup
{ "pile_set_name": "DM Mathematics" }
)/(-30) + (-23)/(-5). Find the second derivative of 20*s**a - 175 + 175 - 5*s wrt s. 400*s**3 Let s(d) be the second derivative of 0*d**4 + d - 3*d**2 + 0 - 23/30*d**6 + 0*d**5 + 0*d**3. Differentiate s(j) wrt j. -92*j**3 What is the second derivative of -126*l**3 + 333*l - 6 + 24*l**3 - 8 - 324*l wrt l? -612*l Let f(p) be the second derivative of 53*p**6/30 + p**5/10 + 25*p**4/12 + 42*p. What is the third derivative of f(v) wrt v? 1272*v + 12 Differentiate 51*p**3 - 333 + 1271*p**4 - 1273*p**4 - 12*p**3 with respect to p. -8*p**3 + 117*p**2 Find the first derivative of -20*c**2 - 53 + 39*c**2 - 76*c**2 + 2*c wrt c. -114*c + 2 Let h(p) be the second derivative of 0 + 4/3*p**3 - 28*p - 11/2*p**2 - 5/12*p**4. Differentiate h(c) wrt c. -10*c + 8 Let t(i) be the third derivative of 0*i + 10*i**2 + 0*i**6 - 17/210*i**7 + 0 + 7/24*i**4 + 0*i**5 + 0*i**3. Find the second derivative of t(w) wrt w. -204*w**2 Suppose -3*x + 5*x + 3*a = 30, -x = -2*a - 22. Differentiate -14 - x*g + 1 - 8 + 48*g wrt g. 30 Find the third derivative of -103*l**4 + 5*l**2 - 8*l**2 + 1 - 38*l**4 - 129*l**4 + 4*l**2 wrt l. -6480*l Let i(y) = 581*y + 299. Let a(p) = -872*p - 448. Let z(o) = 5*a(o) + 7*i(o). Differentiate z(r) with respect to r. -293 Suppose 0 = m - o, 2*o = 3*m + 1 + 4. Let x be (1 + 0)/(m/(-20)). Find the second derivative of -4*s**4 - 3*s**x + s - s + 8*s wrt s. -84*s**2 Let o(v) be the first derivative of -32*v**7/7 + 98*v**3/3 + 125. Find the third derivative of o(h) wrt h. -3840*h**3 Let n(d) = d**3 - 10*d**2 + 11*d - 13. Let j be n(9). What is the third derivative of 3*l**3 + j*l**2 - 13*l**2 - 14*l**3 - 5*l**2 wrt l? -66 What is the first derivative of 8*f + 15130 - 15*f**3 + f - 15110 wrt f? -45*f**2 + 9 Let v = 60 + -59. What is the first derivative of -223*a**4 - v + 200*a**4 + 2 wrt a? -92*a**3 Let l(f) = 11*f**2 + 467*f - 530. Let p(o) = 7*o**2 + 312*o - 353. Let y(h) = 5*l(h) - 8*p(h). Find the first derivative of y(c) wrt c. -2*c - 161 Let p(m) be the second derivative of m**6/15 - 25*m**4/4 + m**3/3 - 19*m**2 - 100*m. Find the second derivative of p(r) wrt r. 24*r**2 - 150 Suppose 2*a + a + 18 = 0. Let j(u) = u**3 + 6*u**2 - u + 7. Let m be j(a). Find the third derivative of 8*i**2 - 4*i**6 - 13 + m - 2*i**6 wrt i. -720*i**3 Suppose 0 = 15*n - 9*n - 168. What is the derivative of 55 + 39 - 124 + n*q wrt q? 28 Let c(o) be the first derivative of 100*o**2 + 37*o + 203. What is the derivative of c(r) wrt r? 200 Let f(y) be the second derivative of 2*y**3/3 - y**2 + 3*y. Let b be f(1). What is the third derivative of q**3 + 8*q**3 + q**2 + 2*q**3 + 0*q**b wrt q? 66 Let v(s) be the third derivative of 0*s**4 + 17*s**2 + 1/12*s**5 + 17/6*s**3 + 0*s + 0. Differentiate v(j) wrt j. 10*j What is the second derivative of -7 + 626*w + 4*w**4 - 631*w + 35*w**4 wrt w? 468*w**2 Let i be (16/20)/((-2)/(-25)). What is the second derivative of -3 + 3 + 22*f - i*f**2 + 0 wrt f? -20 Let s(g) be the third derivative of 289*g**5/60 - 68*g**3/3 + 30*g**2. Differentiate s(p) with respect to p. 578*p Let b(x) be the first derivative of -521*x**3/3 - 7*x**2/2 - 38*x - 279. Find the second derivative of b(r) wrt r. -1042 Let g(h) be the first derivative of 0*h**2 - 18*h - 13 + 16/3*h**3. What is the derivative of g(c) wrt c? 32*c Suppose -11 = -s - a + 3, -2*a - 56 = -5*s. Suppose -4*v + 5 - 1 = 4*z, -z = 4*v + 5. Find the third derivative of -d - 7*d**z + 16*d**3 + d - s*d**2 wrt d. 54 Let u be 1/(((-12)/(-8))/3). Find the third derivative of 4*s**3 + 6*s**u + 12*s**2 - 25*s**3 - 13*s**2 wrt s. -126 Let q = -58 - -61. Let r(z) = 3*z**2 - 3*z + 14. Let i(o) = -o**4 + o**2 - o + 1. Let h(j) = q*i(j) - r(j). Differentiate h(w) wrt w. -12*w**3 Let j be (-48)/(-20) + -2 + 46/10. Find the third derivative of 51*s**j - 38*s**2 + 2*s**3 + 2835 - 2835 wrt s. 3060*s**2 + 12 Find the first derivative of 49326 - 49623 - 4*r**2 - 373*r**4 + 4*r**2 wrt r. -1492*r**3 What is the second derivative of -103*h**2 + 83*h**2 - h**3 - h**3 + 220*h - 20*h wrt h? -12*h - 40 Let i(q) be the third derivative of -q**9/168 + 9*q**6/10 - q**5/15 - q**4/2 - 445*q**2 + 1. Find the third derivative of i(m) wrt m. -360*m**3 + 648 Let l = -1 - 13. Let b be 0 + 1 - (l - -13). What is the first derivative of b + 4*h**2 - 7*h**2 - 2*h**2 wrt h? -10*h Let z(n) be the first derivative of -23*n**7/21 + 3*n**4/2 - 34*n + 36. Let m(v) be the first derivative of z(v). What is the third derivative of m(a) wrt a? -2760*a**2 Let z(y) be the third derivative of y**9/2520 + y**8/560 - y**5/4 - 18*y**2. Let b(q) be the third derivative of z(q). Find the third derivative of b(n) wrt n. 144 Let t(l) be the first derivative of 0*l**3 - 27/2*l**2 - 16 - 28/5*l**5 + 0*l**4 + 0*l. What is the second derivative of t(o) wrt o? -336*o**2 Let t(m) be the third derivative of -13/3*m**3 - 13/60*m**5 + 0 + 0*m - 28*m**2 + 0*m**4. Find the first derivative of t(z) wrt z. -26*z Differentiate 25 + 3072*o + 181 + 425*o**2 - 3070*o with respect to o. 850*o + 2 Let r(p) be the third derivative of p**8/84 + 8*p**7/105 + 59*p**5/15 + 19*p**2. Find the third derivative of r(b) wrt b. 240*b**2 + 384*b What is the second derivative of 3507*k**2 - 74 - 3143*k**2 - 6*k + k + 4*k wrt k? 728 Let x(l) = 89*l**3 + 39*l**2. Let j(w) = -44*w**3 - 20*w**2. Let s be 18/(-10)*10/3. Let b(q) = s*x(q) - 13*j(q). What is the third derivative of b(d) wrt d? 228 Let s(x) = 92*x**2 - 10*x + 5. Let a(v) = v**2 + 2*v + 1. Let t(d) = -5*a(d) + s(d). What is the second derivative of t(p) wrt p? 174 What is the second derivative of 3*c - 16 + 12*c**2 + 0*c - 40*c**2 - 11*c**2 wrt c? -78 Let k(s) = -2 + 7*s - 3*s**3 - 5*s**2 + 12 - 2*s + 38. Let b(h) = -h**3 - h**2 + h + 1. Let m(i) = -5*b(i) + k(i). Differentiate m(w) with respect to w. 6*w**2 Suppose 0 = -5*f + 5*g + 230, -3*f - g - 210 = -8*f. Find the first derivative of -24 + 6*p**3 + f - 22*p**3 wrt p. -48*p**2 Let y(z) be the second derivative of -40*z**4/3 + 367*z**3/6 - 324*z. Find the second derivative of y(d) wrt d. -320 Let n(t) be the first derivative of 2*t**3/3 - 11*t**2/2 + 117*t + 71. Differentiate n(y) wrt y. 4*y - 11 Find the third derivative of 4*a**3 + 47*a**4 - a**3 + 0*a**3 - 248*a**2 + 44*a**2 wrt a. 1128*a + 18 Let b(p) be the second derivative of 19*p**6/10 + 33*p**4/4 - 301*p. Find the third derivative of b(d) wrt d. 1368*d What is the third derivative of -279*f**2 + 102*f**2 + 305*f**4 - 80*f**4 wrt f? 5400*f Suppose -47*w = -28*w - 38. Let f(z) be the third derivative of 0 + 0*z + 2/3*z**3 + z**w - 5/24*z**4. Differentiate f(m) wrt m. -5 What is the second derivative of 18*q**2 - 5 - 19*q**2 - 72*q**2 - 15*q**2 + 14*q wrt q? -176 Let j(k) = 35 + 10*k - 1 + 6. Let p(m) = -10*m + 0 - 13 + 7*m. Let a(d) = 5*j(d) + 16*p(d). Differentiate a(c) wrt c. 2 Suppose -9 = -5*j - 4*b, 0 = j + b + 2*b - 4. Suppose 7 - 5 = x. Differentiate -10*a - j + x*a**3 + 10*a wrt a. 6*a**2 Suppose -4 = 2*r - 3*r. Let i be (7 - 0) + 2/(-1). Find the second derivative of -2*s + r*s**2 + 7*s - i*s**2 wrt s. -2 Let d(b) be the second derivative of -3/14*b**7 + 0 + 5/6*b**3 + 0*b**6 + 0*b**2 - 6*b + 0*b**4 + 0*b**5. Find the second derivative of d(o) wrt o. -180*o**3 Let o = -403 - -1311. Find the third derivative of 9*v**3 + o + 22*v**2 - 908 wrt v. 54 What is the first derivative of -333*m**3 - 109 + 335*m**3 - 16*m - 15*m wrt m? 6*m**2 - 31 Let b(s) = 106*s - 77. Let t(p) = 3*p - 1. Let z(f) = b(f) - 6*t(f). What is the derivative of z(y) wrt y? 88 Let w be (2/5)/((-11)/(-165)). Suppose -3*x + w = -x. What is the second derivative of -6*k + 3*k - x*k**4 + k wrt k? -36*k**2 Let a(g) = 5*g**4 - 2*g**2 - 37. Let t = 53 + -51. Let h(d) = 12*d**4 - 5*d**2 - 73. Let w(p) = t*h(p) - 5*a(p). Differentiate w(b) wrt b. -4*b**3 Let i = 61 + -45. Find the second derivative of i*s - 4*s + 12*s**4 - 6*s wrt s. 144*s**2 Let j(a) = -4*a**2 - 18*a. Let q(k) = 4*k**2 + 17*k. Let x = -90 + 96. Let l(n) = x*q(n) + 5*j(n). Find the second derivative of l(g) wrt g. 8 Find the second derivative of 168*f + 355*f**2 + 4 + 167*f - 488*f + 160*f wrt f. 710 What is the third derivative of -d + 8*d**2 + 161*d**3 + 3*d - 9*d**2 - 2*d**2 wrt d? 966 What is the third derivative of 2*o**2 - 2193*o**5 - o - 18*o**2 - 2*o**6 + o + 2172*o**5 wrt
{ "pile_set_name": "DM Mathematics" }
he greatest common factor of 56 and 287? 7 What is the highest common factor of 931 and 98? 49 What is the highest common factor of 77 and 21? 7 Calculate the greatest common divisor of 46 and 46. 46 Calculate the highest common factor of 148 and 37. 37 Calculate the highest common factor of 208 and 416. 208 What is the greatest common divisor of 1430 and 374? 22 Calculate the highest common factor of 3591 and 378. 189 What is the highest common divisor of 84 and 12? 12 What is the greatest common factor of 55 and 275? 55 What is the highest common divisor of 1426 and 92? 46 Calculate the highest common divisor of 12 and 696. 12 What is the greatest common divisor of 6777 and 27? 27 Calculate the highest common factor of 781 and 142. 71 Calculate the highest common divisor of 14 and 329. 7 What is the highest common divisor of 782 and 646? 34 What is the greatest common factor of 804 and 42? 6 What is the greatest common factor of 2250 and 270? 90 What is the greatest common divisor of 702 and 270? 54 What is the greatest common divisor of 19 and 2242? 19 What is the highest common factor of 455 and 35? 35 Calculate the highest common divisor of 60 and 19340. 20 What is the highest common divisor of 120 and 192? 24 What is the highest common divisor of 154 and 1232? 154 Calculate the greatest common factor of 754 and 58. 58 What is the highest common divisor of 2941 and 3287? 173 Calculate the greatest common factor of 49 and 1568. 49 What is the greatest common divisor of 1170 and 360? 90 Calculate the greatest common divisor of 377 and 22243. 377 What is the highest common divisor of 399 and 868? 7 Calculate the greatest common factor of 1 and 13. 1 What is the highest common factor of 118 and 10? 2 Calculate the greatest common factor of 72 and 234. 18 What is the greatest common divisor of 60 and 1458? 6 Calculate the highest common factor of 38 and 190. 38 Calculate the greatest common divisor of 72 and 128. 8 Calculate the greatest common factor of 22 and 3476. 22 Calculate the greatest common divisor of 752 and 235. 47 What is the greatest common factor of 2 and 8? 2 What is the highest common factor of 83 and 1411? 83 Calculate the greatest common divisor of 656 and 56. 8 Calculate the highest common factor of 36 and 48. 12 Calculate the highest common divisor of 805 and 455. 35 What is the greatest common factor of 85 and 2091? 17 What is the highest common divisor of 105 and 399? 21 What is the greatest common divisor of 72 and 29142? 18 Calculate the greatest common divisor of 420 and 30. 30 Calculate the greatest common factor of 144 and 171. 9 What is the greatest common factor of 22316 and 28? 28 Calculate the greatest common divisor of 1134 and 336. 42 What is the greatest common factor of 441 and 98? 49 Calculate the greatest common divisor of 1064 and 56. 56 Calculate the highest common factor of 1692 and 47. 47 What is the greatest common divisor of 6 and 102? 6 What is the greatest common divisor of 4347 and 28? 7 Calculate the greatest common divisor of 100 and 225. 25 Calculate the highest common divisor of 1802 and 34. 34 Calculate the greatest common factor of 1817 and 158. 79 Calculate the highest common divisor of 8094 and 1136. 142 What is the greatest common factor of 326 and 3749? 163 Calculate the highest common divisor of 10 and 150. 10 What is the highest common divisor of 1392 and 48? 48 What is the greatest common factor of 2232 and 72? 72 Calculate the greatest common factor of 60 and 2355. 15 Calculate the highest common divisor of 3107 and 104. 13 Calculate the highest common factor of 392 and 3626. 98 Calculate the highest common divisor of 646 and 272. 34 What is the greatest common factor of 425 and 68? 17 Calculate the highest common factor of 2 and 1318. 2 What is the highest common divisor of 508 and 5207? 127 Calculate the greatest common divisor of 13 and 12441. 13 What is the highest common factor of 522 and 725? 29 Calculate the highest common factor of 2120 and 80. 40 What is the highest common divisor of 7 and 553? 7 Calculate the highest common factor of 12 and 24. 12 Calculate the greatest common divisor of 77 and 19789. 77 Calculate the greatest common divisor of 200 and 225. 25 What is the greatest common factor of 4279 and 77? 11 Calculate the highest common divisor of 20 and 260. 20 What is the highest common factor of 270 and 486? 54 Calculate the highest common divisor of 18 and 5526. 18 Calculate the greatest common factor of 7 and 25. 1 Calculate the highest common factor of 342 and 456. 114 Calculate the highest common divisor of 4683 and 42. 21 What is the highest common factor of 1533 and 168? 21 Calculate the highest common factor of 908 and 8. 4 Calculate the greatest common divisor of 60 and 5900. 20 Calculate the highest common divisor of 37 and 925. 37 Calculate the greatest common divisor of 178 and 122. 2 Calculate the greatest common factor of 276 and 690. 138 Calculate the greatest common divisor of 20 and 30. 10 Calculate the greatest common divisor of 407 and 1739. 37 What is the highest common factor of 430 and 50? 10 Calculate the greatest common factor of 966 and 42. 42 Calculate the greatest common divisor of 273 and 1781. 13 Calculate the highest common divisor of 4 and 7508. 4 Calculate the greatest common factor of 329 and 63. 7 What is the highest common divisor of 1360 and 85? 85 What is the highest common divisor of 150 and 50? 50 What is the highest common factor of 8319 and 282? 141 Calculate the greatest common factor of 1793 and 297. 11 What is the greatest common factor of 3738 and 890? 178 Calculate the greatest common divisor of 225 and 180. 45 What is the greatest common factor of 6078 and 12? 6 What is the greatest common divisor of 120 and 150? 30 Calculate the highest common divisor of 36 and 828. 36 What is the highest common factor of 33 and 7? 1 Calculate the highest common factor of 56 and 525. 7 What is the greatest common divisor of 520 and 8450? 130 Calculate the highest common divisor of 595 and 175. 35 What is the greatest common divisor of 3514 and 28? 14 Calculate the greatest common factor of 4316 and 52. 52 What is the highest common factor of 40 and 140? 20 What is the highest common factor of 9675 and 45? 45 Calculate the highest common divisor of 490 and 28. 14 Calculate the highest common divisor of 255 and 27795. 255 Calculate the highest common divisor of 26 and 299. 13 Calculate the highest common factor of 145 and 29. 29 Calculate the greatest common factor of 14 and 5789. 7 What is the highest common divisor of 14 and 28? 14 What is the greatest common divisor of 648 and 117? 9 What is the highest common divisor of 40 and 350? 10 Calculate the highest common divisor of 219 and 11169. 219 Calculate the highest common divisor of 475 and 8740. 95 Calculate the greatest common factor of 13 and 1807. 13 Calculate the highest common factor of 100 and 350. 50 Calculate the greatest common factor of 132 and 2724. 12 What is the greatest common divisor of 8415 and 30? 15 What is the highest common factor of 1431 and 27? 27 What is the greatest common factor of 592 and 37? 37 Calculate the highest common divisor of 7 and 38353. 7 What is the greatest common divisor of 225 and 50? 25 Calculate the highest common factor of 253 and 4485. 23 Calculate the greatest common factor of 162 and 108. 54 Calculate the greatest common divisor of 6929 and 41. 41 What is the highest common divisor of 10471 and 74? 37 Calculate the greatest common divisor of 31 and 899. 31 Calculate the greatest common factor of 9 and 21. 3 Calculate the highest common factor of 297 and 81. 27 What is the greatest common factor of 168 and 816? 24 Calculate the greatest common factor of 168 and 588. 84 Calculate the greatest common divisor of 12 and 138. 6 Calculate the highest common divisor of 1463 and 133. 133 What is the greatest common factor of 60 and 720? 60 Calculate the highest common factor of 104 and 8. 8 What is the greatest common divisor of 306 and 72? 18 Calculate the greatest common factor of 155 and 186. 31 Calculate the highest common factor of 55 and 7645. 55 Calculate the greatest common factor of 45 and 120. 15 Calculate the greatest common factor
{ "pile_set_name": "DM Mathematics" }
5) to base 11 6 Convert 10 (base 5) to base 14. 5 55 (base 13) to base 4 1012 Convert 8 (base 15) to base 11. 8 0 (base 4) to base 13 0 Convert 26 (base 10) to base 11. 24 77 (base 12) to base 2 1011011 What is 2 (base 13) in base 15? 2 Convert 3 (base 5) to base 12. 3 Convert 65 (base 7) to base 8. 57 f (base 16) to base 15 10 Convert 95 (base 16) to base 11. 126 Convert 3 (base 14) to base 11. 3 Convert a (base 15) to base 11. a 212 (base 3) to base 7 32 -3300 (base 4) to base 7 -462 Convert -3 (base 14) to base 5. -3 62 (base 15) to base 3 10102 What is -3 (base 15) in base 16? -3 Convert 120 (base 5) to base 8. 43 What is -10 (base 10) in base 13? -a Convert -2 (base 8) to base 14. -2 Convert -2 (base 13) to base 14. -2 Convert 1 (base 10) to base 5. 1 -207 (base 14) to base 15 -1b9 What is 13 (base 4) in base 12? 7 Convert 440 (base 5) to base 3. 11110 What is 22 (base 6) in base 3? 112 What is -404 (base 7) in base 5? -1300 Convert -6 (base 7) to base 6. -10 Convert 3 (base 13) to base 8. 3 120 (base 7) to base 14 47 -10 (base 8) to base 11 -8 What is -121 (base 4) in base 10? -25 125 (base 7) to base 10 68 Convert -1001 (base 2) to base 11. -9 What is -15 (base 10) in base 11? -14 Convert -2 (base 14) to base 16. -2 What is -120 (base 3) in base 13? -12 What is -16 (base 10) in base 11? -15 Convert 7 (base 13) to base 4. 13 -23 (base 11) to base 7 -34 Convert 121 (base 4) to base 16. 19 What is c8 (base 14) in base 9? 215 Convert 0 (base 4) to base 3. 0 2 (base 15) to base 14 2 Convert 342 (base 7) to base 9. 216 Convert 2 (base 9) to base 8. 2 Convert -7 (base 12) to base 2. -111 What is -11 (base 3) in base 14? -4 Convert 3 (base 14) to base 12. 3 -11 (base 13) to base 16 -e What is 14 (base 6) in base 2? 1010 5 (base 7) to base 8 5 What is -a (base 12) in base 2? -1010 What is -11000 (base 2) in base 13? -1b What is -117 (base 9) in base 6? -241 -20 (base 13) to base 3 -222 -63 (base 11) to base 9 -76 -36 (base 7) to base 4 -123 Convert 12100 (base 3) to base 11. 121 Convert 2 (base 4) to base 11. 2 What is -1 (base 13) in base 8? -1 -3 (base 11) to base 13 -3 1 (base 13) to base 11 1 Convert 3 (base 8) to base 6. 3 What is 260 (base 10) in base 2? 100000100 1 (base 16) to base 8 1 -10000000 (base 2) to base 4 -2000 What is -2 (base 12) in base 14? -2 What is -50 (base 11) in base 6? -131 Convert 37 (base 10) to base 14. 29 What is 3 (base 6) in base 9? 3 Convert -3 (base 9) to base 14. -3 -1 (base 9) to base 13 -1 Convert 1 (base 11) to base 7. 1 Convert -2 (base 16) to base 13. -2 What is -3 (base 15) in base 16? -3 -1 (base 13) to base 2 -1 Convert 56 (base 12) to base 15. 46 Convert -151 (base 8) to base 10. -105 What is -44 (base 13) in base 11? -51 Convert -2 (base 4) to base 3. -2 -112 (base 8) to base 9 -82 -c (base 16) to base 12 -10 -e6 (base 16) to base 15 -105 What is 11 (base 12) in base 4? 31 -1011111 (base 2) to base 16 -5f Convert -26 (base 13) to base 15. -22 What is 12 (base 3) in base 15? 5 What is 18 (base 9) in base 7? 23 What is 223 (base 11) in base 15? 12c -5 (base 7) to base 14 -5 33 (base 5) to base 9 20 What is 2 (base 5) in base 13? 2 1 (base 10) to base 3 1 -1b (base 15) to base 14 -1c Convert -5 (base 13) to base 4. -11 What is 7 (base 11) in base 9? 7 a (base 16) to base 3 101 0 (base 4) to base 3 0 5d (base 15) to base 3 10021 What is 134 (base 6) in base 15? 3d -111 (base 2) to base 10 -7 a (base 15) to base 6 14 Convert 10 (base 9) to base 12. 9 What is 62 (base 9) in base 12? 48 Convert -182 (base 12) to base 2. -11110010 -1 (base 9) to base 10 -1 Convert 12 (base 12) to base 7. 20 What is 28 (base 9) in base 11? 24 d2 (base 16) to base 10 210 What is -104 (base 5) in base 9? -32 -10a (base 13) to base 3 -20122 -225 (base 7) to base 10 -117 What is -1 (base 12) in base 14? -1 What is -102011 (base 3) in base 12? -211 What is -42 (base 7) in base 16? -1e What is 100 (base 4) in base 2? 10000 59 (base 11) to base 10 64 554 (base 6) to base 16 d6 10101 (base 2) to base 8 25 What is 147 (base 9) in base 7? 235 1 (base 6) to base 13 1 Convert -13 (base 5) to base 8. -10 What is 141 (base 6) in base 15? 41 What is -223 (base 8) in base 10? -147 What is -1 (base 9) in base 3? -1 Convert -1101 (base 2) to base 4. -31 Convert 147 (base 9) to base 13. 97 Convert -3302 (base 4) to base 12. -182 What is -4 (base 12) in base 14? -4 27 (base 14) to base 16 23 1 (base 3) to base 16 1 Convert -12 (base 11) to base 5. -23 Convert 3 (base 13) to base 6. 3 What is 0 (base 5) in base 14? 0 111 (base 2) to base 13 7 113 (base 6) to base 4 231 What is -100 (base 10) in base 12? -84 Convert 55 (base 15) to base 13. 62 What is -b9 (base 12) in base 15? -96 Convert -14 (base 15) to base 3. -201 Convert 13 (base 16) to base 5. 34 What is -7 (base 16) in base 13? -7 Convert -43 (base 12) to base 13. -3c Convert -10 (base 3) to base 4. -3 Convert -4 (base 12) to base 6. -4 11 (base 2) to base 13 3 Convert -3 (base 14) to base 6. -3 8 (base 11) to base 8 10 What is b (base 13) in base 12? b Convert -5 (base 7) to base 14. -5 1030 (base 5) to base 9 165 What is -2 (base 6) in base 7? -2 3 (base 10) to base 4 3 Convert 5 (base 7) to base 5. 10 -11 (base 2) to base 14 -3 Convert -2 (base 8) to base 15. -2 -3 (base 10) to base 2 -11 What is 1 (base 2) in base 12? 1 What is -9 (base 16) in base 9? -10 -202 (base 12) to base 7 -563 0 (base 2) to base 4 0 What is -40 (base 5) in base 16? -14 7c (base 15) to base 5 432 What is -2 (base 8) in base 10? -2 Convert 34 (base 8) to base 5. 103 1 (base 3) to base 8 1 What is 13 (base 5) in base 11? 8 Convert -4 (base 14) to base 9. -4 What is 2 (base 3) in base 11? 2 -57 (base 13) to base 9 -80 What is 101111 (base 2) in base 11? 43 -31 (base 4) to base 16 -d What is 251 (base 7) in base 3? 11222 Convert -d (base 14) to base 2. -1101 What is -2433 (base 5) in base 15? -198 Convert -42 (base 16) to base 15. -46 What is -1 (base 11) in base 15? -1 440 (base 5) to base 2 1111000 What is -10 (base 8) in base 3? -22 Convert b (base 14) to base 2. 1011 What is 0 (base 3) in base 12? 0 Convert 12 (base 3) to base 5. 10 4 (base 7) to base 11 4 Convert 27 (base 11) to base 9. 32 50 (base 6) to base 2 11110 What is -167 (base 16) in base 5? -2414 -38 (base 9) to base 10 -35 Convert -2c (base 15) to base 14. -30 What is 7 (base 15) in base 2? 111 1 (base 14) to base 7 1 What is 6 (base 12) in base 3? 20 What is -3a (base 11) in base 12? -37 Convert 14 (base 14) to base 16. 12 2000 (base 5) to base 16 fa Convert -26 (base 7) to base 11. -19 -21 (base 5) to base 4 -23 Convert -111 (base 3) to base 4. -31 11010 (base 2) to base 5 101 What is -53 (base 10) in base 4? -311 What is -317 (base 8) in base 11? -179 123 (base 6) to base 14 39 Convert 1a (base 14) to base 8. 30 Convert -6 (base 7) to base 4. -12 1 (base 15) to base 4 1 What is -1 (base 8) in base 12? -1 What is 3 (base 15) in base 8? 3 -32 (base 13) to base 8 -51 What is -21121 (base 3) in base 5? -1310 What is 7b (base 13) in base 9? 123 What is -3 (base 4) in base 15? -3 Convert 325 (base 6) to base 12. a5 Convert 102 (base 9) to base 10. 83 Convert -200 (base 13) to base 15. -178 What is -2 (base 10) in base 3? -2 What is 1101 (base 2) in base 8? 15 What is 111102 (base 3) in base 16? 16a Convert -33 (base 4) to base 6. -23 Convert 1000101 (base 2) to base 7. 126 Convert -22 (base 4) to base 8. -12 1022 (base 5) to base 9 162 Convert -167 (base 8) to base 6. -315 What is -200 (base 3) in base 6? -30 4 (base 12) to base 11 4 What is -20 (base 8) in base 13? -13 What is 50 (base 7) in base 13? 29 5 (base 10) to base 16 5 Convert 3 (base 8) to base 16. 3 -a (base 15) to base 7 -13 Convert -1a (base 15) to base 3. -221 What is 96 (base 15) in base 2? 10001101 What is -7 (base 16) in base 9? -7 Convert 15 (base 9) to base 6. 22 3 (base 7) to base 10 3 What is -142 (base 10) in base 8? -216 Convert 6 (base 9) to base 2. 110 What is -a (base 11) in base 12? -a -a (base 12) to base 11 -a What is 152 (base 6) in base 15? 48 Convert -20 (base 10) to base 4. -110 What is 10 (base 2) in base 9? 2 Convert -10 (base 15) to base 11. -14 22010 (base 3) to base 11 18a Convert -1 (base 5) to base 13. -1 -4a (base 12) to base 9 -64 Convert 0 (base 4) to base
{ "pile_set_name": "DM Mathematics" }
ent from {x: 4, b: 3, h: 7}. Give prob of picking 1 b, 1 x, and 1 h. 3/13 Calculate prob of picking 1 g and 1 y when two letters picked without replacement from eyygyyggepyyyyggeg. 16/51 What is prob of picking 2 a when two letters picked without replacement from {a: 10}? 1 Three letters picked without replacement from ygykkggyy. Give prob of picking 1 k, 1 y, and 1 g. 2/7 Three letters picked without replacement from {m: 1, r: 2, k: 4}. Give prob of picking 2 k and 1 r. 12/35 Two letters picked without replacement from qqgzzgzzvq. Give prob of picking 1 z and 1 v. 4/45 Two letters picked without replacement from {b: 2, c: 2, p: 2, v: 1, i: 1}. Give prob of picking 2 c. 1/28 Two letters picked without replacement from luyddbbdyddddldddddy. What is prob of picking 1 d and 1 b? 12/95 Three letters picked without replacement from uauah. Give prob of picking 1 a and 2 u. 1/5 Three letters picked without replacement from {d: 3, b: 1, n: 5, e: 11}. What is prob of picking 2 e and 1 b? 11/228 Three letters picked without replacement from maaa. What is prob of picking 2 a and 1 m? 3/4 What is prob of picking 1 e, 1 p, and 2 q when four letters picked without replacement from {p: 4, e: 6, v: 5, q: 4}? 12/323 Two letters picked without replacement from {z: 2, l: 3, d: 2, b: 1, j: 6}. Give prob of picking 2 z. 1/91 Three letters picked without replacement from ooooo. Give prob of picking 3 o. 1 What is prob of picking 2 i when two letters picked without replacement from yii? 1/3 What is prob of picking 3 q when three letters picked without replacement from {j: 2, q: 6, v: 7}? 4/91 What is prob of picking 1 u, 1 n, and 1 z when three letters picked without replacement from enzeunuznezeeue? 27/455 Calculate prob of picking 3 m and 1 t when four letters picked without replacement from {t: 3, m: 8}. 28/55 Two letters picked without replacement from {p: 1, a: 6, r: 1, f: 1, i: 5, k: 2}. Give prob of picking 1 r and 1 f. 1/120 Three letters picked without replacement from drtdhyrll. What is prob of picking 2 l and 1 y? 1/84 Four letters picked without replacement from {g: 3, v: 7}. Give prob of picking 2 v and 2 g. 3/10 What is prob of picking 1 k and 1 g when two letters picked without replacement from {k: 1, t: 1, g: 6, x: 7}? 2/35 Four letters picked without replacement from {d: 8, l: 4, w: 5}. Give prob of picking 3 l and 1 w. 1/119 What is prob of picking 3 a and 1 w when four letters picked without replacement from ayyawyayyayyy? 4/715 What is prob of picking 1 p and 1 r when two letters picked without replacement from tsttpppttprptttp? 1/20 Two letters picked without replacement from {n: 1, j: 1, k: 2}. What is prob of picking 1 n and 1 j? 1/6 Two letters picked without replacement from njjnjmjnjjjjjqj. Give prob of picking 1 q and 1 n. 1/35 What is prob of picking 1 m and 1 e when two letters picked without replacement from {e: 1, i: 1, m: 1, t: 1, o: 1}? 1/10 What is prob of picking 3 x when three letters picked without replacement from {x: 3, v: 5}? 1/56 Two letters picked without replacement from {c: 2, o: 1, i: 1, y: 1}. What is prob of picking 1 i and 1 o? 1/10 What is prob of picking 1 n and 1 h when two letters picked without replacement from dnhnddynuyy? 3/55 Calculate prob of picking 1 d and 2 k when three letters picked without replacement from bdkbkdbdkbubbdiud. 3/136 What is prob of picking 3 i when three letters picked without replacement from {j: 2, o: 5, w: 1, i: 8}? 1/10 Calculate prob of picking 1 w, 1 y, 1 k, and 1 e when four letters picked without replacement from {y: 1, k: 3, t: 3, w: 6, e: 1}. 18/1001 Four letters picked without replacement from {v: 3, j: 9, a: 1, f: 2, z: 4}. Give prob of picking 1 a, 1 f, 1 j, and 1 v. 9/646 Calculate prob of picking 3 i when three letters picked without replacement from iilltbii. 1/14 Calculate prob of picking 1 a and 2 j when three letters picked without replacement from {j: 4, a: 4, l: 7, e: 3}. 1/34 Four letters picked without replacement from dbbudtnnvvttbdvbbnu. Give prob of picking 2 v, 1 d, and 1 t. 9/1292 Two letters picked without replacement from {h: 4, q: 2, b: 2, x: 10, y: 1}. What is prob of picking 1 q and 1 b? 4/171 Three letters picked without replacement from nvqqhqhhbhht. Give prob of picking 1 t, 1 n, and 1 h. 1/44 Two letters picked without replacement from {d: 5, o: 1, e: 6, s: 1, f: 6}. Give prob of picking 2 d. 10/171 Three letters picked without replacement from {d: 5, s: 5, q: 3}. Give prob of picking 2 d and 1 s. 25/143 Three letters picked without replacement from {f: 1, n: 2, q: 1}. Give prob of picking 2 n and 1 q. 1/4 What is prob of picking 2 u when two letters picked without replacement from {l: 3, u: 3}? 1/5 Calculate prob of picking 1 a, 1 k, and 1 n when three letters picked without replacement from aknso. 1/10 Calculate prob of picking 4 g when four letters picked without replacement from ggggggggg. 1 Two letters picked without replacement from {r: 3, i: 1, c: 1, z: 1, e: 2, p: 5}. Give prob of picking 1 p and 1 r. 5/26 Calculate prob of picking 2 a and 2 g when four letters picked without replacement from aagggaa. 18/35 Calculate prob of picking 1 i, 2 c, and 1 y when four letters picked without replacement from cgyyyccgciggc. 6/143 Two letters picked without replacement from {r: 6, t: 1, o: 7}. What is prob of picking 2 o? 3/13 Two letters picked without replacement from vrvrvvbvb. Give prob of picking 2 v. 5/18 Calculate prob of picking 3 n when three letters picked without replacement from nnnnnn. 1 Two letters picked without replacement from {w: 4, o: 7}. What is prob of picking 2 w? 6/55 Calculate prob of picking 1 c and 1 v when two letters picked without replacement from ffvffffcf. 1/36 Four letters picked without replacement from vvvaav. Give prob of picking 4 v. 1/15 Four letters picked without replacement from {y: 1, x: 5, e: 1, o: 1, p: 2}. What is prob of picking 1 o, 1 x, 1 e, and 1 y? 1/42 Calculate prob of picking 4 b when four letters picked without replacement from bbbbebeb. 3/14 Four letters picked without replacement from iaaiaaaaiaaaaaaaiaa. Give prob of picking 1 a and 3 i. 5/323 Two letters picked without replacement from {d: 6, n: 4, p: 1, a: 7}. Give prob of picking 1 n and 1 d. 8/51 What is prob of picking 2 v when two letters picked without replacement from vvvvvkvv? 3/4 Three letters picked without replacement from {x: 3, r: 3}. What is prob of picking 1 r and 2 x? 9/20 Two letters picked without replacement from wzwzzzrzrrwrrwz. Give prob of picking 1 z and 1 r. 2/7 Calculate prob of picking 1 z, 1 k, and 2 s when four letters picked without replacement from kskzsssks. 5/21 Three letters picked without replacement from {b: 2, a: 4, k: 5, x: 2}. What is prob of picking 1 a, 1 b, and 1 x? 8/143 What is prob of picking 4 a when four letters picked without replacement from {e: 5, a: 14}? 1001/3876 Calculate prob of picking 1 k and 1 b when two letters picked without replacement from gbdfnddkdfgdg. 1/78 Four letters picked without replacement from rrfyzkfzzzmfmmffrf. Give prob of picking 1 r, 1 m, 1 f, and 1 z. 6/85 What is prob of picking 1 c and 2 h when three letters picked without replacement from {c: 3, h: 13}? 117/280 Four letters picked without replacement from {e: 7, x: 12}. What is prob of picking 4 x? 165/1292 What is prob of picking 2 h, 1 f, and 1 k when four letters picked without replacement from hhkhffkkh? 2/7 Three letters picked without replacement from rgrre. Give prob of picking 1 g, 1 e, and 1 r. 3/10 Three letters picked without replacement from rrppvarvraabbpbp. Give prob of picking 2 r and 1 p. 3/70 Three letters picked without replacement from {t: 1, x: 4, r: 1, j: 4, u: 3, g: 5}. What is prob of picking 3 j? 1/204 Two letters picked without replacement from hhyybhuvbhvhhuu. Give prob of picking 1 h and 1 b. 4/35 What is prob of picking 1 o and 2 z when three letters picked without replacement from zzoozzozzzzooz? 45/91 Calculate prob of picking 1 i and 2 q when three letters picked without replacement from iqii. 0 Two letters picked without replacement from {o: 4, b: 2, u: 4, n: 5, a: 1}. Give prob of picking 1 n and 1 u. 1/6 Four letters picked without replacement from bcbkppcpczac. Give prob of picking 1
{ "pile_set_name": "DM Mathematics" }
4, 2, 0.15 in decreasing order. 2, 0.15, -4 Sort 0.07, 8, -5/4 in increasing order. -5/4, 0.07, 8 Put 12, -1, 3, 64 in descending order. 64, 12, 3, -1 Put 2, -80, -1, -4 in descending order. 2, -1, -4, -80 Put -2/25, -0.05, -1 in increasing order. -1, -2/25, -0.05 Sort -4/3, 169.3, 1/2, 2/17 in descending order. 169.3, 1/2, 2/17, -4/3 Sort 15, 2, 3, 1, -5 in increasing order. -5, 1, 2, 3, 15 Sort -0.3, -0.0013, 4, -5, 0.4 in descending order. 4, 0.4, -0.0013, -0.3, -5 Sort -1, 11, 3, 4. -1, 3, 4, 11 Sort -4/35, -0.4, -0.8 in decreasing order. -4/35, -0.4, -0.8 Sort 0, 14, -1, -17, 1. -17, -1, 0, 1, 14 Put 3, -5, 24 in increasing order. -5, 3, 24 Put 25, 23, 4 in increasing order. 4, 23, 25 Sort -0.4, -2, -2/305 in increasing order. -2, -0.4, -2/305 Put 14, 1, -6, -3 in ascending order. -6, -3, 1, 14 Sort 8, 1, -2, -9 in increasing order. -9, -2, 1, 8 Sort -5, 16, -359 in ascending order. -359, -5, 16 Put 1, -4, 13, -42 in descending order. 13, 1, -4, -42 Put 115, 0.1, 1 in increasing order. 0.1, 1, 115 Put -3, -2, -76 in descending order. -2, -3, -76 Sort 15/11, -0.1, -2/9, -0.3 in descending order. 15/11, -0.1, -2/9, -0.3 Sort 1/14, -0.1, 6. -0.1, 1/14, 6 Put -2, 11, 7, 5 in descending order. 11, 7, 5, -2 Sort 4, -2, 0, -157 in descending order. 4, 0, -2, -157 Sort -0.4, 7, -3, 1/11, -0.2 in decreasing order. 7, 1/11, -0.2, -0.4, -3 Put -4, -2, 5 in descending order. 5, -2, -4 Put -519, 0, 2 in decreasing order. 2, 0, -519 Sort -41, -1, -4 in descending order. -1, -4, -41 Put 1/3, -5/2, -101/6 in ascending order. -101/6, -5/2, 1/3 Sort -10, -4, -5, -3. -10, -5, -4, -3 Put -2, 35, 4, 3, 2 in decreasing order. 35, 4, 3, 2, -2 Sort -4, 38, -3, -31 in descending order. 38, -3, -4, -31 Put -343, 0, 6 in ascending order. -343, 0, 6 Put -5, 0, -38 in increasing order. -38, -5, 0 Sort 0, 8, 2, -2, 441 in descending order. 441, 8, 2, 0, -2 Put 5, 4, 6, -2 in ascending order. -2, 4, 5, 6 Put 2057, 3/4, -3 in increasing order. -3, 3/4, 2057 Sort 12, -11, -2, 2 in decreasing order. 12, 2, -2, -11 Sort 78, 1, -7 in increasing order. -7, 1, 78 Sort 5, -28, 3, 18 in decreasing order. 18, 5, 3, -28 Put -3, -0.1, 5, -4, 17 in descending order. 17, 5, -0.1, -3, -4 Sort 2, 0, -46, -9. -46, -9, 0, 2 Put 4, -28, 0, 0.4 in descending order. 4, 0.4, 0, -28 Sort -2/9, 0.3, 0.5, 1/3, 0.2 in decreasing order. 0.5, 1/3, 0.3, 0.2, -2/9 Sort 4, 118, 2 in decreasing order. 118, 4, 2 Sort -1, -21, 4, -2 in increasing order. -21, -2, -1, 4 Sort -24, -1, 0.9 in ascending order. -24, -1, 0.9 Sort 0.4, -29, -0.12, 0 in ascending order. -29, -0.12, 0, 0.4 Sort 234, 2, -2, -0.5. -2, -0.5, 2, 234 Sort -31, 7, 3, 2/3. -31, 2/3, 3, 7 Sort 0.059, -4, -2/5, 0.2 in increasing order. -4, -2/5, 0.059, 0.2 Sort -30, 4, 0.28 in increasing order. -30, 0.28, 4 Sort 7, -2/7, -0.3, 33. -0.3, -2/7, 7, 33 Sort 4, 0.1, 0.5, 68 in ascending order. 0.1, 0.5, 4, 68 Sort -1, -56, 8 in descending order. 8, -1, -56 Sort 2, 50, -5, 1 in descending order. 50, 2, 1, -5 Sort -32, 1, -4/3 in decreasing order. 1, -4/3, -32 Put 1, 2, -1/4, 25 in descending order. 25, 2, 1, -1/4 Sort 5, -2/7, 2/13, -0.4 in decreasing order. 5, 2/13, -2/7, -0.4 Sort -6, 5, 1 in decreasing order. 5, 1, -6 Sort 1/7, 0.01, 0.1. 0.01, 0.1, 1/7 Sort 2, 26, 1 in increasing order. 1, 2, 26 Sort 34, 2, -4 in descending order. 34, 2, -4 Put 4, -4, 2, 11 in increasing order. -4, 2, 4, 11 Put -2, -1/5, 19, 53 in decreasing order. 53, 19, -1/5, -2 Sort -5, -3, -4, 32, 1 in decreasing order. 32, 1, -3, -4, -5 Sort -7, -3, -16, 3 in ascending order. -16, -7, -3, 3 Sort -1/28, -5, 0.11 in increasing order. -5, -1/28, 0.11 Put -14, -3, -6 in decreasing order. -3, -6, -14 Put 2, 268, 7 in decreasing order. 268, 7, 2 Sort -4, -2, 2, -15 in decreasing order. 2, -2, -4, -15 Sort 9, -2, -2.9, 2/11. -2.9, -2, 2/11, 9 Sort 24, -0.3, 2/5. -0.3, 2/5, 24 Sort 0, 2, 5, -3, 3 in increasing order. -3, 0, 2, 3, 5 Put 13, 4, 9, -5 in decreasing order. 13, 9, 4, -5 Sort -0.4, 25, 5. -0.4, 5, 25 Put -5, -3, -74, -1, 5 in ascending order. -74, -5, -3, -1, 5 Sort -0.5, 0, 2.3 in descending order. 2.3, 0, -0.5 Put -3, 47, -2, 10, 2 in decreasing order. 47, 10, 2, -2, -3 Sort -0.3, 0.3, -73. -73, -0.3, 0.3 Sort 3, 8, -13, 5 in increasing order. -13, 3, 5, 8 Put 2, 11, 13 in descending order. 13, 11, 2 Sort 0.5, -79, 2, -3/4 in decreasing order. 2, 0.5, -3/4, -79 Sort -1/9, -3, 0.11, 1 in decreasing order. 1, 0.11, -1/9, -3 Put 2/13, 2, 3, -1/19 in ascending order. -1/19, 2/13, 2, 3 Sort 3, 1, 33, 0 in ascending order. 0, 1, 3, 33 Put -20, 3, 5, -2 in descending order. 5, 3, -2, -20 Put -1, -15, -5, -4 in decreasing order. -1, -4, -5, -15 Put 0.05, 1/8, 18 in ascending order. 0.05, 1/8, 18 Sort -5, -186, 21. -186, -5, 21 Sort -16, -2, 3 in decreasing order. 3, -2, -16 Put 4, 5, 31, -1 in decreasing order. 31, 5, 4, -1 Sort -4, 5, 6, 3 in descending order. 6, 5, 3, -4 Sort -844, 2, 4 in ascending order. -844, 2, 4 Put 3, -5/3, 11, -11, 1/2 in descending order. 11, 3, 1/2, -5/3, -11 Put 1, -7, -10 in increasing order. -10, -7, 1 Put -3/2, -1, -2/3, -9.7 in increasing order. -9.7, -3/2, -1, -2/3 Sort -4, 4, -8, 10. -8, -4, 4, 10 Put -4, 0, 243, 1, -2 in decreasing order. 243, 1, 0, -2, -4 Put 0.09, -2, 90, 1 in descending order. 90, 1, 0.09, -2 Sort 32, -3, 0, 4 in descending order. 32, 4, 0, -3 Sort -3, 5, -1/3, 0.449 in descending order. 5, 0.449, -1/3, -3 Sort -7, -4, -1, 5 in decreasing order. 5, -1, -4, -7 Put -31, -6, 0.04, -0.5 in descending order. 0.04, -0.5, -6, -31 Sort 5, -198, 0. -198, 0, 5 Put -15, -2, 11, -3, -6 in descending order. 11, -2, -3, -6, -15 Put 4, 2, 3223 in decreasing order. 3223, 4, 2 Put -2/7, 17, -7/8 in increasing order. -7/8, -2/7, 17 Sort 0.5, -2/7285, -3, 3 in decreasing order. 3, 0.5, -2/7285, -3 Sort -71, 0.5, 1.4 in decreasing order. 1.4, 0.5, -71 Put 3097/2, -0.3, -5 in descending order. 3097/2, -0.3, -5 Put -29, -5, 5, 1 in increasing order. -29, -5, 1, 5 Put 0.02, 0.3, -1/7 in decreasing order. 0.3, 0.02, -1/7 Sort 3, 0.4, -170, -1. -170, -1, 0.4, 3 Sort 8, 0, -5, 34 in decreasing order. 34, 8, 0, -5 Sort -0.3, 1.4, -9, -1/5 in ascending order. -9, -0.3, -1/5, 1.4 Put -8/3, 4, -9 in ascending order. -9, -8/3, 4 Sort -0.091, 3/7, -1/7, -0.4 in descending order. 3/7, -0.091, -1/7, -0.4 Put 2, 3, 116 in increasing order. 2, 3, 116 Put 1, -1, -3 in descending order. 1, -1, -3 Sort -1/6, -1, -12. -12, -1, -1/6 Put -28, -4, -3, 4, 5 in increasing order. -28, -4, -3, 4, 5 Put -0.5, -2/7, 3/2, -2 in ascending order. -2, -0.5, -2/7, 3/2 Sort -0.9, -0.29, 5, 3 in ascending order. -0.9, -0.29, 3, 5 Sort 5, -2, -5/2. -5/2, -2, 5 Sort -45, -4, 47 in descending order. 47, -4, -45 Sort -3, -5, -73 in decreasing order. -3, -5, -73 Sort -8, -7, 5, 51 in descending order. 51, 5, -7, -8 Put -75, -1/2, 2/13 in decreasing order. 2/13, -1/2, -75 Sort 6, -2/7, -1. -1, -2/7, 6 Put -5, 2, 658, -2 in ascending order. -5, -2, 2, 658 Put -3/5, -188, 0 in descending order. 0, -3/5, -188 Sort 37, -16, 2. -16, 2, 37 Sort 1, -3, 9/19. -3, 9/19, 1 Put 5, 3, 109 in decreasing order. 109, 5, 3 Sort 59, -0.1, -0.5. -0.5, -0.1, 59 Sort 3/2, 0, -4, -0.7 in descending order. 3/2, 0, -0.7, -4 Put -0.2, -5/97, 0.2, -1 in descending order. 0.2, -5/97, -0.2, -1 Sort 3/4, -2/13, 2 in ascending order. -2/13, 3/4, 2 Put -35, 31, 1 in increasing order. -35, 1, 31 Put -0.2, -2, 0.04 in decreasing order. 0.04, -0.2, -2 Sort 2, 3, -29, -2. -29, -2, 2, 3 Put 2/13, 43/7, 14 in increasing order. 2/13, 43/7, 14 Put -11, -1, 5, 1, 365 in ascending order. -11, -1, 1, 5, 365 Put 72, -4, -5, -3 in increasing order. -5, -4, -3, 72 Sort 5, 3/245, -1/2. -1/2, 3/245, 5 Sort 12, -2/9, 2, -4 in descending order. 12, 2, -2/9, -4 Put -3, 92, 0.3, -4 in decreasing order. 92, 0.3, -3, -4 Sort -4, -147, 0, -3, 3 in descending order. 3, 0, -3, -4, -147 Put -1, 3, -557 in decreasing order. 3, -1, -557 Sort -21, -5, 1, -3, -7 in decreasing order. 1, -3, -5, -7, -21 Sort 145, 0, 4 in ascending order. 0, 4, 145 Put 2, -1, 46 in decreasing order. 46, 2, -1 Sort -2, 7, -3, 3, -6. -6, -3, -2, 3, 7 Put -4, 5, -1, 4, 26 in descending order. 26, 5, 4, -1, -4 Sort -0.064, -1/9, -3, -1, -4 in increasing order. -4, -3, -1, -1/9, -0.064 Sort -14, 2/837, 5 in descending order. 5, 2/837, -14 Sort 1/4, -12,
{ "pile_set_name": "DM Mathematics" }
*w Collect the terms in -q**2 + 0*q**2 - 2*q**2 + 0*q**2. -3*q**2 Collect the terms in -61*v**3 + 26*v**3 + 36*v**3. v**3 Collect the terms in -k**3 + 11*k**3 + 52*k - 52*k. 10*k**3 Collect the terms in 6*t**3 - 6*t**3 - 5*t**3 + 2*t**3 - 3*t**3. -6*t**3 Collect the terms in 4*b**2 + b - 18*b + 17*b. 4*b**2 Collect the terms in -9 - 2*b - 62*b + 9. -64*b Collect the terms in 41 + 18*t**2 - 85 + 44. 18*t**2 Collect the terms in 4 + p**2 - 4. p**2 Collect the terms in 126*z - 234*z - 2 + 2. -108*z Collect the terms in 10 - 24 - 3*s**2 + 14. -3*s**2 Collect the terms in 4*z + 0*z + z - 3*z. 2*z Collect the terms in -106400 + 5*d + 106400. 5*d Collect the terms in -76*q**2 + 6*q**3 + 2*q**3 + 76*q**2. 8*q**3 Collect the terms in -3*z**2 - 14*z + 6*z - 10*z**2. -13*z**2 - 8*z Collect the terms in -6 + 42*o**2 + 2 + 4. 42*o**2 Collect the terms in -805564*c + 4 - 4 + 805567*c. 3*c Collect the terms in 0 - 3 - 1 - 23*w**3. -23*w**3 - 4 Collect the terms in -135*b + 135*b + 33*b**2. 33*b**2 Collect the terms in 0 + 0 + 86*s. 86*s Collect the terms in -344 - a + 344. -a Collect the terms in -17 + 17 - 2*w. -2*w Collect the terms in 309*j**2 - 20*j**3 - 309*j**2. -20*j**3 Collect the terms in 5*g + 6663475 - 6663475. 5*g Collect the terms in -168*n + 2*n**3 + 351*n - 183*n + 2*n**3. 4*n**3 Collect the terms in -2 - 2*l - 3*l + 2*l. -3*l - 2 Collect the terms in 725*x + x**2 - 9*x**2 - 725*x. -8*x**2 Collect the terms in 7500*o + o**3 + o**3 - 7500*o. 2*o**3 Collect the terms in -103*w + 1 - 3 + 94*w. -9*w - 2 Collect the terms in 66*o - 111*o + 30*o**3 + 45*o. 30*o**3 Collect the terms in -9*a**3 + 2*a**2 + 11*a**3 - 2*a**2. 2*a**3 Collect the terms in 32 - 4*k**3 - 63 + 31. -4*k**3 Collect the terms in -36*y**2 - 32*y**2 + 80*y**2. 12*y**2 Collect the terms in -18*w - 4560 + 4560. -18*w Collect the terms in 2*p - 2*p + 6*p + 3*p. 9*p Collect the terms in -172*t**2 + 172*t**2 + 7*t**3. 7*t**3 Collect the terms in -100*x + 226*x + 2 - 195*x. -69*x + 2 Collect the terms in 50*s - 40*s - 175*s - 312*s. -477*s Collect the terms in 2*j**2 - 3517 + 1754 + 1763. 2*j**2 Collect the terms in 34*s**2 - 99*s**2 + 32*s**2 + 34*s**2. s**2 Collect the terms in -6*y**2 + 6*y**2 + 25*y**3. 25*y**3 Collect the terms in -706*d**3 + 289*d**3 - 745*d**3. -1162*d**3 Collect the terms in -177*v + 129*v + 525*v. 477*v Collect the terms in 3 - 3 - 1 + 17*s**3 - 322*s**3. -305*s**3 - 1 Collect the terms in 7*u + 12*u - 4*u**3 - 19*u. -4*u**3 Collect the terms in -92*c**3 + 33*c**3 - 40*c**3. -99*c**3 Collect the terms in -2*m**3 + 1 - 1 + m**3 + 213*m. -m**3 + 213*m Collect the terms in -121 + 235 + z**3 - 114. z**3 Collect the terms in 6*n**3 - 30 - 16*n**3 + 14 + 16. -10*n**3 Collect the terms in -250*u**2 + 6*u**3 + 250*u**2. 6*u**3 Collect the terms in -10*l + 66145 - 66145. -10*l Collect the terms in -41*l - 2*l**2 + 69*l - 28*l. -2*l**2 Collect the terms in 1126*g**3 - 3*g - 1124*g**3 + 2*g + g. 2*g**3 Collect the terms in 1 - 5 + 4 - 187*j**3. -187*j**3 Collect the terms in -39*h**2 + 86*h**2 - 53*h**2. -6*h**2 Collect the terms in -84*k**3 + 171*k**3 - 90*k**3. -3*k**3 Collect the terms in 2*w + 297 - 295 - 9*w. -7*w + 2 Collect the terms in 8*j + 38*j - 22*j - 16*j. 8*j Collect the terms in -205*n + 55*n - 67*n. -217*n Collect the terms in -2*a**2 - 4*a**2 + 4*a**2 + 2*a**2 + 3*a**2. 3*a**2 Collect the terms in 675*v**3 - 221*v**3 - 115*v**3 + 620*v**3. 959*v**3 Collect the terms in -30*r + 1 + 31*r + 4. r + 5 Collect the terms in -4*p - 5*p - 14*p + 8*p. -15*p Collect the terms in -35*g**3 + 33 - 33. -35*g**3 Collect the terms in -1844 + 3687 - 2*x**3 - 1843. -2*x**3 Collect the terms in w**3 + 3*w**3 - 19*w**3. -15*w**3 Collect the terms in 320*d - 320*d + 4*d**3. 4*d**3 Collect the terms in -1 - 61*w + 1 + 66*w. 5*w Collect the terms in -596 - 589 + 1185 + 12*y**2. 12*y**2 Collect the terms in -299116 + 299116 + 5*w. 5*w Collect the terms in -55*z - 457*z - 112*z. -624*z Collect the terms in -c**3 + 87 - 87. -c**3 Collect the terms in 4*b + 60044 - 60044. 4*b Collect the terms in 1 - 2*v + 9*v + 12*v - 1. 19*v Collect the terms in 7*x + 12*x - 119*x. -100*x Collect the terms in -10*o - o + 13*o + 0*o. 2*o Collect the terms in 9*l + 10*l - 18*l + 11*l. 12*l Collect the terms in s + 3*s + 20*s + 0*s. 24*s Collect the terms in -19*g**3 - 2*g**3 - 3*g**3 + 0*g**3. -24*g**3 Collect the terms in -3 + 19*v**3 - 5*v**3 - 5*v**3 - 2*v**3. 7*v**3 - 3 Collect the terms in 22*k**3 + 15*k**3 - 32*k**3. 5*k**3 Collect the terms in 28 - 28 - 58*i. -58*i Collect the terms in 38523 - l**2 - 38523. -l**2 Collect the terms in -3 - 4*s - 14*s - 7*s + 0*s. -25*s - 3 Collect the terms in -11*h + 7*h + 4*h - 3*h**2. -3*h**2 Collect the terms in 24*y**2 + 6*y**2 - 20*y**2. 10*y**2 Collect the terms in 177*n**2 - 105*n**2 + 1 + 848*n**2. 920*n**2 + 1 Collect the terms in -4610 - 3*x**2 + 4610. -3*x**2 Collect the terms in -74900*i + 74892*i + 0 + 0. -8*i Collect the terms in 37*w**3 - 24*w**3 + 54*w**3. 67*w**3 Collect the terms in -58*t**3 - 31*t**3 + t**3. -88*t**3 Collect the terms in 17*w**3 - 33*w**3 + 18*w**3. 2*w**3 Collect the terms in -5 + 3*a**2 + 0 - 3*a**2 + 11*a**3. 11*a**3 - 5 Collect the terms in l**3 - 3*l**3 + l**3 + 4*l**3. 3*l**3 Collect the terms in -9*t**2 - 6*t + 8*t**2 + 6*t. -t**2 Collect the terms in 0*g - 5*g - 12*g - 1 - 4. -17*g - 5 Collect the terms in w**3 - 20337346*w + 20337346*w. w**3 Collect the terms in -2*v**2 + 0*v**2 - 10*v**2 - 3*v**2. -15*v**2 Collect the terms in -p**2 + 7*p**2 + 7*p**2 + 0*p**2. 13*p**2 Collect the terms in -8*i**2 + 7*i + 4*i - 11*i. -8*i**2 Collect the terms in d**3 + 3*d**2 - 12*d**2 - 4*d**2 + 13*d**2. d**3 Collect the terms in -462*d - 3*d**2 + 924*d - 462*d. -3*d**2 Collect the terms in 5*d**2 - 12*d**2 + 9*d**2. 2*d**2 Collect the terms in 53 - 22 - 19 - 4*h - 12. -4*h Collect the terms in 12 - 2 + 14*z - 10*z. 4*z + 10 Collect the terms in 237*x + 248*x - 473*x. 12*x Collect the terms in 3 - 3 + 3*i + 9. 3*i + 9 Collect the terms in -10*o - 14*o + 32*o. 8*o Collect the terms in 34*w**3 + 2*w**2 - 36*w**3 - 2*w**2. -2*w**3 Collect the terms in -7 - 684*f + 7 + 686*f. 2*f Collect the terms in 107*x**3 + 4 - 3 + 1. 107*x**3 + 2 Collect the terms in 2*f + 9*f**2 + 18*f**2 - 47*f**2 + 15*f**2. -5*f**2 + 2*f Collect the terms in -49*j + 96*j - 47*j + 17*j**2. 17*j**2 Collect the terms in -3*z - 3*z**2 + 3*z - 4*z**2 - 5*z. -7*z**2 - 5*z Collect the terms in -10*t**3 + 4*t**3 + 3*t**3 + 2*t**3 + 0*t**3. -t**3 Collect the terms in 5*d - 2*d + 4*d. 7*d Collect the terms in -1 - 3*j**2 - 5 + 7. -3*j**2 + 1 Collect the terms in 2*v**2 - 1 + v**2 + 0*v**2 + 14. 3*v**2 + 13 Collect the terms in -29*n**2 + 10*n**2 - 15*n**2 + 89*n**2. 55*n**2 Collect the terms in 8*p**2 - 21*p**3 + 15*p**2 - 24*p**2. -21*p**3 - p**2 Collect the terms in 45*a**2 - 40*a**2 - 11*a**2 + 1 - 1. -6*a**2 Collect the terms in -29*c**2 + 8*c**2 + 6*c**2 + 2*c**2. -13*c**2 Collect the terms in -6*p**3 + 15*p**3 - 11*p**3 + p**3. -p**3 Collect the terms in 24*m**3 - 8*m**2 - 26*m**3 + 8*m**2. -2*m**3 Collect the terms in 60*o - 28*o - 31*o. o Collect the terms in -12*w**2 + 108*w**2 + 81*w**2. 177*w**2 Collect the terms in -309*v**2 + 628*v**2 - 317*v**2. 2*v**2 Collect the terms in -22*w**2 + 20*w**2 + 23*w**2. 21*w**2 Collect the terms in 33*y - 91*y - 33*y. -91*y Collect the terms in 6*q + 6*q - q + 2*q. 13*q Collect the terms in 11*t**3 + 8*t**3 - 9*t**3. 10*t**3 Collect the terms in 0*k**2 + 157 - 157 - 2*k**2. -2*k**2 Collect the terms in 2*z - 8*z - 4*z + 8*z. -2*z Collect the terms in -637*h - 640*h + 1904*h - 631*h. -4*h Collect the terms in 2811 + 10*y**2 - 2811. 10*y**2 Collect the terms in j - j + 5*j**3 + 126997*j**2 - 126997*j**2. 5*j**3 Collect the terms in -11*o**3 - 5*o**3 + 26*o**3 - 8*o**3. 2*o**3 Collect the terms in 2938*i - 983*i - 979*i - 979*i. -3*i Collect the terms in 100*s**2 - 52*s**2 - 47*s**2. s**2 Collect the terms in -127*r**2 - 133*r**2 + 497*r**2 - 116*r**2 - 125*r**2. -4*r**2 Collect the terms in -8*x + 2 - 6*x - 16*x - 3. -30*x - 1 Collect the terms in -v + 0*v + 5*v + 9*v - 11*v. 2*v Collect the terms in -3*k**2 + 0*k**2 - k**2 + 0*k**2. -4*k**2 Collect the terms in -6675*t**2 + 13350*t**2 - 6673*t**2. 2*t**2 Collect the ter
{ "pile_set_name": "DM Mathematics" }
**2 + 2*h**4 + 4*h**2 + 341*h - 340*h - 5*h**3 to the form c*h + y*h**4 + z + o*h**3 + t*h**2 and give o. -5 Express (0 - 2*r + 0)*((r + 0*r - 3*r)*((3 - 3 - 2)*(0*r - 4*r + 2*r) - 5*r + 24*r + 5*r) + 0 + 0 + 2*r**2) in the form w*r**3 + k + d*r + j*r**2 and give w. 108 Rearrange (-3 + 0 - 1)*(-33*l + 4*l - 10*l)*(l + 5 - 5) to the form s*l + j*l**2 + g and give s. 0 Rearrange -2 - 3718*f**3 - 38*f + 246*f + 2*f**4 + 3720*f**3 to the form x + q*f**3 + s*f**2 + h*f**4 + p*f and give h. 2 Express -5 + 3*q**3 - 16*q + 20 - 7 - 6 in the form x + c*q + s*q**2 + d*q**3 and give d. 3 Express 81*r + 113*r + 40*r + 29*r as k + z*r and give k. 0 Express 216*b**2 - 2 - 224*b**2 + 4*b**3 + 1 + 2*b**4 as r*b + g*b**2 + m*b**3 + l*b**4 + k and give k. -1 Express (-2 + 2 + r**2)*(2*r**2 - 5*r**2 - 18*r**2)*(10 + 0 + 1) in the form w*r**3 + q + p*r**2 + u*r + h*r**4 and give h. -231 Rearrange 471 + 17*o + 487 - 944 to the form y + c*o and give y. 14 Rearrange (-2*w + 2 + 2*w - 2*w)*(15 - 15 - 7*w + (3 - 2 + 0)*(-4 + w + 4) + 2*w + w + w) to h*w + i*w**2 + j and give h. -4 Rearrange -6 - 2*b**4 - 1 - 1 - 238*b**2 + 472*b**2 + 3*b - 236*b**2 to the form x*b**3 + z*b + w + v*b**2 + j*b**4 and give v. -2 Rearrange -106*s**3 + 151*s**3 + 359*s**3 + (4 - 4 - 2*s)*(0*s**2 + 2*s**2 - s**2) to t*s + r + k*s**3 + l*s**2 and give k. 402 Rearrange -21*v**2 + 2 - 17*v**2 - 102*v**2 + 5*v**2 - 354*v**2 to u*v**2 + f*v + j and give u. -489 Express -4*n**4 + 71 - n**2 - 158 - 4*n**3 + n + 83 in the form b + w*n**3 + s*n + t*n**4 + c*n**2 and give s. 1 Rearrange 12*l**2 - 250*l**2 + l**2 to the form z*l**2 + t*l + c and give z. -237 Rearrange 69 + 5*i**2 - 69 + (-i - 5*i + 4*i)*(3*i - 3*i + i) + 2 - 2 - i**2 + 30*i**2 - 50*i**2 + 26*i**2 to the form k*i**2 + a + o*i and give k. 8 Rearrange -8*c - 9*c + 8 + 0*c - 4*c to n*c + k and give k. 8 Express (-3*v + 3*v + v)*(8*v + v - 3*v) + (-2 - 4 + 8 - 27*v)*(5 + 2*v - 5) as u*v**2 + d + n*v and give u. -48 Express 435 + 280 + p + 224 in the form m*p + x and give x. 939 Express (-28 + 3 - 3 + (3 - 1 - 3)*(0 - 3 + 1))*(-5*b - 11*b + 2*b) in the form w + n*b and give n. 364 Rearrange -26 - 144*g**3 + 22 + 164*g**3 to the form j + t*g**2 + n*g**3 + y*g and give j. -4 Rearrange (-7 + h + 7)*(-1 + 3 - 22) to u + g*h and give g. -20 Express -2*r - 2*r**4 - 351*r**2 - 2 - 1 + 353*r**2 in the form b + t*r**4 + z*r**2 + m*r + a*r**3 and give t. -2 Rearrange 6*x**2 + 7*x**3 - 2*x**3 + 5 - 210*x**4 + 212*x**4 + 2*x to the form d*x**2 + c*x**4 + b*x + v*x**3 + a and give b. 2 Express 8*x - 4*x - 100 - 3*x - 6*x in the form b + r*x and give b. -100 Rearrange (-2*k + 0 + 0)*(-8 - 18 + 42) + (2 + 5 - 4)*(-5*k + 4*k - 2*k) to the form q + a*k and give a. -41 Rearrange -526*w**2 + 2*w**4 + 22*w**3 + 257*w**2 + 1 + 265*w**2 to v*w**2 + d*w**3 + y + g*w**4 + o*w and give v. -4 Express (-1 + 2 + 1)*(3 + 2 - 22)*(3*l - 2*l**4 - 3*l) in the form n*l**4 + z*l + t*l**3 + p*l**2 + i and give n. 68 Rearrange 4611 + 15*i**2 - 4611 + 13*i - 2*i**2 to the form x*i**2 + j + t*i and give t. 13 Express 1963*h**3 - 262*h**3 - 587*h**3 + (2*h + h**3 - 2*h)*(-3 - 1 + 3) in the form a*h**3 + f*h**2 + z*h + x and give z. 0 Rearrange (-3*h**2 - 3*h**3 + 3*h**2)*(-5*h - 252*h - 1041*h) to i*h**3 + d*h**2 + t*h + n*h**4 + a and give n. 3894 Express -3*m**2 + 5*m**2 + 3*m**2 + (1 + m - 1)*(9*m + 0*m + 2*m) + 26*m**2 - 16*m**2 + 22*m**2 in the form w + n*m + s*m**2 and give s. 48 Express -23 - 8*f - 3*f**2 + 7 + 16 - 8*f as d*f**2 + a*f + i and give a. -16 Express (t + 0 + 0)*(-2*t - 1 + 1)*(412 - 412 - 42*t**2) - 8*t**2 + 12*t**4 + 8*t**2 in the form d*t**3 + w*t**4 + c*t + i*t**2 + p and give w. 96 Express 25*i - 2*i**2 + 96*i**3 - 64*i**3 + 22*i - 44*i in the form o*i**2 + g*i + b*i**3 + c and give b. 32 Express (-304*v + 304*v - 6*v**2)*(-1 + 6 - 1) - 2 - 2*v**2 + 2 in the form f + t*v + x*v**2 and give x. -26 Express -260*o**3 + 45*o**3 + 8 + 3 - 15 + 6 in the form v*o**2 + f*o + d*o**3 + i and give d. -215 Rearrange -4*s**2 + 12 - s**2 - 11 + (0 - 6 + 4)*(0*s**2 + 0*s**2 - 2*s**2) + 2 + 2*s**2 - 2 + 8*s**2 - 4*s**2 - 7*s**2 to the form c + u*s + y*s**2 and give y. -2 Rearrange -i**3 + 5*i**2 - 6*i**3 - 3*i**2 - 7*i + 6*i + 27 - 4*i**3 to t*i**2 + c*i + q + u*i**3 and give q. 27 Express (-3*u - u + 2*u)*(-18 + 17 - 5*u + 31*u) as t*u**2 + y + g*u and give g. 2 Express -17*z**2 + 6*z**3 + 10*z**3 - 2 - 15*z**3 - z as s*z + h*z**2 + k*z**3 + w and give w. -2 Rearrange 2*m**2 - 3*m**2 - 6*m**3 - 1 + 2*m + 380*m**4 - 378*m**4 to j + k*m**3 + i*m + h*m**2 + f*m**4 and give f. 2 Rearrange -18*q**4 - 7*q**4 + 9*q + 24*q**4 + 8 + 4 to x + m*q + g*q**3 + p*q**2 + n*q**4 and give m. 9 Rearrange 72 - 25 + 538*f - 47 to the form h*f + p and give h. 538 Express (-k - 4 + 4)*(14*k**3 - 36*k**2 + 22*k**2 - 1 + k**2) in the form g*k**3 + d*k**2 + x*k**4 + u + y*k and give x. -14 Express -8793*d + 4482*d + 4402*d as i*d + c and give c. 0 Express (-2 + 20 + 17)*(0*q**3 + q**3 + 0*q**3) - 13 - 7*q**3 + 13 as v + t*q**3 + n*q + l*q**2 and give t. 28 Express 250 - 31*j + 87*j - 251 as n*j + g and give n. 56 Rearrange -35 + 20 + 0*q**3 + 48*q + 13 - 3*q**3 - 50*q to the form x*q + v*q**3 + s + k*q**2 and give x. -2 Express ((-1 - 3 + 3)*(-4 + 1 - 1) - 1 - 1 - 1)*(-4*j + 3 - 1 + 5*j) as o*j + g and give o. 1 Rearrange -415*s**2 + 331 - s - s**3 + 415*s**2 to r*s**2 + x*s**3 + k + w*s and give k. 331 Rearrange -11 + 2 + 16 - 2 + k**3 - 35*k - 6*k**2 - 6 to c + t*k**2 + p*k + a*k**3 and give c. -1 Rearrange (65 - 65 + 18*q)*(3 - 1 + 1)*(-2*q + q - q)*(-9*q - 4*q + 0*q) to u*q + a + f*q**3 + i*q**2 and give f. 1404 Express (-5*c + 2*c + 0*c)*(-4 + 6 + 0) - 21*c - 17*c + 2*c in the form j*c + o and give j. -42 Rearrange (97*n - 188*n - 9 + 82*n)*(1 - 4 + 1) to the form d + h*n and give h. 18 Express (435*i**2 - 424*i**2 - 3 + 5)*(22 - 21 - 3) in the form t + u*i**2 + l*i and give t. -4 Rearrange ((-5 + 2 + 2)*(-4 + 1 + 4) - 7 + 1 + 0)*(-4 + 2 + 4)*(-11*b - 17*b - 12*b) to the form h + l*b and give l. 560 Rearrange -76*g + 11 - 53 + 12 + 11 + 15 to the form c*g + f and give c. -76 Express (24*t + 3*t + 4*t)*(14*t**2 - 2*t**2 + 7*t**2)*(3*t + 0*t - t) in the form a*t**2 + n*t + p*t**4 + g*t**3 + u and give p. 1178 Rearrange 180*k + 32*k + 33*k to a + l*k and give l. 245 Express -18559 + 72*c**2 + 18559 in the form n*c**2 + j*c + f and give n. 72 Rearrange 147*v**2 + 2 - 44*v**2 - 52*v**2 to f*v + n + r*v**2 and give n. 2 Express -17*w + 6 + 14*w + 7*w + w**3 + 4*w + 0*w**3 + 2*w**4 in the form s*w**4 + b*w + i + v*w**2 + l*w**3 and give s. 2 Express -135 + 31*c**2 + 36*c**2 + 40*c**2 - 106*c**2 in the form f*c + o + p*c**2 and give o. -135 Express (2*s + 2*s - s)*(2 - 3 + 3) - 85*s + 47 - 92 + 45 in the form w*s + y and give w. -79 Rearrange 3*z**3 + 3*z - 5 - z**2 - 1658*z**4 + 0*z**3 + 1657*z**4 to the form l + m*z**3 + i*z + k*z**4 + h*z**2 and give l. -5 Rearrange -2*d**2 + 2*d**2 + d**3 + (0*d**3 + 4*d**3 - d**3)*(1 + 0 - 2) + (5*d**3 - 9*d**3 + 8*d**3)*(-3 - 3 + 2) to a*d**2 + n + h*d**3 + x*d and give h. -18 Express 8 + 2632*x**4 - 2634*x**4 + 34*x**3 - 22*x**3 - x as f*x**4 + s + j*x**2 + p*x**3 + k*x and give f. -2 Rearrange 1 - 11 - 3*p**2 + 4*p**3 + 8 + 5*p**2 to r*p**3 + c*p + n + z*p**2 and give z. 2 Express 2*a**3 - 3*a**4 - 3*a**3 + 2 - 9*a**3 - 4*a**3 as x + h*a**2 + c*a**3 + j*a**4 + l*a and give x. 2 Express -729*x**2 + 1456*x**2 - 724*x**2 + 70 as r*x**2 + d*x + c and give c. 70 Rearrange 14*l**3 + 8*l**3 - 37*l**3 + (3 - 1 - 1)*(-4*l**3 - 9*l**3 + 7*l**3) to o + j*l + g*l**3 + m*l**2 and give g. -21 Rearrange (3 - 8 + 2)*(-3 + 7 + 2)*(5 - 5 - 2*n)*(20 - 20 - 10*n) to the form a*n**2 + t*n + s and give a. -360 Express 175015*g**3 + 0 + 0 + g - 175024*g**3 - 27*g**2 in the form l*g + d + i*g**3 + s*g**2 and give s. -27 Rearrange (1 - 17 - 6 + 4 - 1 - 2 + (2 - 4 + 0)*(0 + 0 + 1) - 1 + 6 - 3 - 28 + 17 - 1)*(3*f**3 - 4*f**3 + 3*f**3) to k + t*f + p*f**3 + c*f**2 and give p. -66 Express -1 + 10*p**3 + p + 2177*p**2 - 2177*p**2 + p**4 as j*p**4 + k*p + m*p**3 + g + v*p**2 and give m. 10 Rearrange (-64*l - 66*l - 2 + 135*l)*(-3*l - l + 2*l) to the form q*l + y*l**2 + m and give y. -10 Rearrange -128*l + 137*l + 77*l + l**2 - 3*l**2 to the form s*l + i + y*l**2 and give s. 86 Rear
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from {h: 3, n: 5}? 15/56 What is prob of sequence xmxx when four letters picked without replacement from {x: 7, m: 4}? 7/66 What is prob of sequence blww when four letters picked without replacement from llwblhwlbb? 1/210 Four letters picked without replacement from {m: 5, r: 13}. Give prob of sequence mrrm. 13/306 Three letters picked without replacement from ucoyuygocygycyyyy. What is prob of sequence ouc? 1/340 What is prob of sequence aax when three letters picked without replacement from {p: 3, b: 2, l: 1, a: 3, m: 2, x: 1}? 1/220 Two letters picked without replacement from ezejeeferf. Give prob of sequence jf. 1/45 Three letters picked without replacement from uquwxuugxwuywuxxyy. Give prob of sequence uqy. 1/272 What is prob of sequence de when two letters picked without replacement from bed? 1/6 Four letters picked without replacement from cjjccjjcccc. Give prob of sequence ccjc. 7/66 Calculate prob of sequence noo when three letters picked without replacement from {n: 8, o: 2}. 1/45 Four letters picked without replacement from txtttttt. What is prob of sequence ttxt? 1/8 Three letters picked without replacement from {j: 2, a: 4, w: 2}. Give prob of sequence wwa. 1/42 Four letters picked without replacement from {p: 4, y: 1, e: 3}. What is prob of sequence eeep? 1/70 Calculate prob of sequence vvjj when four letters picked without replacement from {t: 4, j: 3, y: 2, v: 2}. 1/660 Two letters picked without replacement from {f: 6, c: 4, o: 3, k: 6}. Give prob of sequence ko. 1/19 What is prob of sequence yqq when three letters picked without replacement from qqqqyqgqqcsyqg? 2/39 Three letters picked without replacement from {k: 2, q: 4, z: 1, e: 1}. Give prob of sequence qzq. 1/28 Calculate prob of sequence twx when three letters picked without replacement from xwwxwwxwtwwxx. 35/1716 Four letters picked without replacement from {d: 5, j: 5}. What is prob of sequence djdd? 5/84 What is prob of sequence xjj when three letters picked without replacement from xjjjjjjjxj? 7/45 Two letters picked without replacement from sdsdsud. What is prob of sequence su? 1/14 Four letters picked without replacement from {p: 15, h: 3}. What is prob of sequence hppp? 91/816 What is prob of sequence dd when two letters picked without replacement from {w: 16, d: 2}? 1/153 What is prob of sequence mttr when four letters picked without replacement from mttmrtmmrtm? 1/66 Three letters picked without replacement from hhghghgh. What is prob of sequence ghg? 5/56 Two letters picked without replacement from txxtxtxtxx. Give prob of sequence tt. 2/15 Three letters picked without replacement from uuuyeueueeeeyeeeuyy. What is prob of sequence eee? 28/323 Four letters picked without replacement from {z: 6, o: 3, v: 2, y: 3, c: 1}. What is prob of sequence vzvo? 1/910 Two letters picked without replacement from jjkjjjjjkgjgjjsf. What is prob of sequence kf? 1/120 Two letters picked without replacement from {w: 5, k: 1, d: 2, r: 1, v: 1}. Give prob of sequence vw. 1/18 What is prob of sequence aaas when four letters picked without replacement from adsaaps? 1/70 Calculate prob of sequence mggm when four letters picked without replacement from {g: 6, m: 4, w: 1}. 1/22 Two letters picked without replacement from {y: 4, g: 7}. What is prob of sequence yg? 14/55 Two letters picked without replacement from gcwicow. What is prob of sequence wg? 1/21 What is prob of sequence rrr when three letters picked without replacement from rxxrxr? 1/20 Two letters picked without replacement from ivov. Give prob of sequence vo. 1/6 Two letters picked without replacement from ttttttt. What is prob of sequence tt? 1 Calculate prob of sequence dyn when three letters picked without replacement from {y: 1, n: 2, v: 2, t: 2, z: 1, d: 1}. 1/252 Calculate prob of sequence wl when two letters picked without replacement from ddlpw. 1/20 What is prob of sequence tlx when three letters picked without replacement from {m: 2, i: 3, t: 2, x: 4, l: 1}? 1/165 Calculate prob of sequence kt when two letters picked without replacement from htdhk. 1/20 Calculate prob of sequence pgo when three letters picked without replacement from gopgloggopwgglo. 8/455 Four letters picked without replacement from ahkkkwkaahiakakc. Give prob of sequence kchh. 1/3640 Four letters picked without replacement from mlcccmllcldmmcd. What is prob of sequence lmmc? 2/273 Four letters picked without replacement from {g: 11, m: 5}. Give prob of sequence mmmm. 1/364 Two letters picked without replacement from lklrkklkkkllk. What is prob of sequence kl? 35/156 Calculate prob of sequence vu when two letters picked without replacement from {v: 3, l: 7, d: 1, b: 2, u: 4}. 3/68 Two letters picked without replacement from ewlwoeewulequew. Give prob of sequence ou. 1/105 Calculate prob of sequence kg when two letters picked without replacement from iioikgkiiiikkiiigioi. 2/95 Four letters picked without replacement from huwohduohluuuuoul. What is prob of sequence hlud? 1/1360 What is prob of sequence mopp when four letters picked without replacement from {o: 8, m: 1, p: 4}? 4/715 Three letters picked without replacement from {t: 3, h: 8}. What is prob of sequence hht? 28/165 What is prob of sequence vk when two letters picked without replacement from ukivhhuukhukik? 2/91 What is prob of sequence sskl when four letters picked without replacement from {u: 1, k: 2, s: 4, l: 4}? 2/165 Calculate prob of sequence fin when three letters picked without replacement from nnifnfninfnni. 21/572 Four letters picked without replacement from byjzjjzjjyjjjjzj. Give prob of sequence zzzb. 1/7280 Calculate prob of sequence gg when two letters picked without replacement from {g: 14, s: 5}. 91/171 Two letters picked without replacement from {c: 1, a: 1, m: 1, t: 2}. Give prob of sequence ca. 1/20 Four letters picked without replacement from {f: 2, g: 4}. Give prob of sequence ffgg. 1/15 Four letters picked without replacement from {b: 1, s: 1, i: 4, g: 3, t: 3, f: 3}. What is prob of sequence itit? 1/455 What is prob of sequence guy when three letters picked without replacement from {p: 7, d: 2, u: 1, g: 5, b: 4, y: 1}? 1/1368 Four letters picked without replacement from esseeees. What is prob of sequence eses? 1/14 What is prob of sequence aed when three letters picked without replacement from {a: 1, d: 9, e: 9}? 9/646 Three letters picked without replacement from jxxhhxjhxhaxhhjh. Give prob of sequence jjj. 1/560 Two letters picked without replacement from vvafvzvftxavxxx. What is prob of sequence av? 1/21 Three letters picked without replacement from viiviv. Give prob of sequence iiv. 3/20 Three letters picked without replacement from {g: 3, y: 3, p: 5, u: 4, z: 4}. What is prob of sequence pzy? 10/969 Calculate prob of sequence rx when two letters picked without replacement from {r: 2, x: 1}. 1/3 Four letters picked without replacement from jjnwjjjbnnjjnknwj. What is prob of sequence nbwn? 1/1428 Two letters picked without replacement from nnhhn. What is prob of sequence nn? 3/10 Four letters picked without replacement from {d: 4, w: 7, b: 3}. Give prob of sequence dbdb. 3/1001 What is prob of sequence dm when two letters picked without replacement from mmmmmmmmmmmmdmm? 1/15 What is prob of sequence xfd when three letters picked without replacement from gxrfqfgxfdx? 1/110 Calculate prob of sequence uz when two letters picked without replacement from ttuzuzwudwtwztwwww. 1/34 Calculate prob of sequence ig when two letters picked without replacement from gphggriiiigi. 5/33 Calculate prob of sequence fq when two letters picked without replacement from bbbbkbzkbbbbqqfbkbv. 1/171 Two letters picked without replacement from ababakwrzrrw. Give prob of sequence bb. 1/66 Two letters picked without replacement from {x: 8, j: 4, z: 5}. What is prob of sequence zj? 5/68 Three letters picked without replacement from ttttthtttttht. What is prob of sequence hth? 1/78 Calculate prob of sequence to when two letters picked without replacement from {n: 4, t: 1, e: 4, o: 1, m: 1}. 1/110 What is prob of sequence ww when two letters picked without replacement from wwwwwwwww? 1 Four letters picked without replacement from pqppqp. What is prob of sequen
{ "pile_set_name": "DM Mathematics" }
.1, 2/11? 1.6 Which is the fifth smallest value? (a) 1/7 (b) -12 (c) 1/3 (d) -4 (e) 0 c What is the second biggest value in -0.04, -1, -0.9? -0.9 What is the third biggest value in 1, 2, 187, -3, -4/7? 1 What is the second biggest value in -12/11, -1/5, 0.1? -1/5 What is the second biggest value in 21, 0, 0.078? 0.078 What is the third smallest value in -4, 4/5, 15, -8? 4/5 What is the third smallest value in 1, -0.21, -0.5? 1 Which is the third biggest value? (a) 22 (b) 4/9 (c) -3 (d) -0.4 d Which is the biggest value? (a) 1 (b) -293/2 (c) 3 c Which is the second biggest value? (a) 18 (b) -2 (c) -39 b What is the fourth biggest value in -4, -0.25, 2/3, -0.1, 6? -0.25 Which is the third smallest value? (a) -12/5 (b) 0 (c) -3 b What is the second smallest value in -5, 3/2, -157? -5 What is the biggest value in 0.3, 9, 4? 9 What is the third biggest value in -2, 2, -2/43? -2 What is the fourth smallest value in 0.1, 2, -1, 1/77, -2/7? 0.1 Which is the biggest value? (a) 3 (b) -3.1 (c) -2.5 (d) 5 d What is the second smallest value in -0.1, -124, 0.2? -0.1 Which is the fourth biggest value? (a) 0.4 (b) -0.07 (c) 0 (d) -1/5 d What is the second biggest value in 0.99, -0.2, -3/7? -0.2 What is the biggest value in -5/4, 4/7, -2/5? 4/7 Which is the second biggest value? (a) -2.5 (b) 2/3 (c) -5 (d) -0.2 d What is the third smallest value in 2/7, 0.1, 1, -2/9? 2/7 What is the second biggest value in 0.4, -22, -0.3, 0? 0 What is the biggest value in -345, 4/3, -0.4, 1/4? 4/3 What is the third smallest value in -1/5, 1, 22? 22 What is the smallest value in -0.03, 0.4, -13? -13 Which is the second smallest value? (a) -4/5 (b) -54 (c) -5/3 c Which is the second smallest value? (a) -9 (b) 5 (c) -0.01 c What is the third biggest value in 0.4, 1.9, -1, -2? -1 Which is the second biggest value? (a) 2/9 (b) 4 (c) 1/6 (d) 0.005 a What is the biggest value in 1/5, -17, -3/5? 1/5 What is the fourth biggest value in 0.5, 1.6, 0.6, -4? -4 What is the fourth smallest value in -5, 9, 0.8, -2? 9 What is the biggest value in 0.5, -1/9, 2, 4, 2/5? 4 Which is the second smallest value? (a) -0.5 (b) 4/5 (c) -17 (d) 0 a What is the smallest value in -0.3, -0.4, -0.02, 5, -3.2? -3.2 Which is the smallest value? (a) 0.3 (b) -3 (c) 12/29 b What is the third smallest value in -2/7, -18, 3, 2/15? 2/15 What is the second biggest value in -1/4, 387, -5, 2/5? 2/5 What is the third smallest value in -17, 0.2, -0.2, -7? -0.2 What is the second smallest value in -0.3, -46, -2/21? -0.3 What is the biggest value in -1, -2/5, 3/53, 3/7? 3/7 Which is the second smallest value? (a) -3 (b) -1 (c) 0.4 (d) -4/5 b What is the fourth smallest value in -0.04, 1/3, 14, -0.03? 14 What is the biggest value in -0.3, 2/5, 0.016? 2/5 What is the third smallest value in -160, -0.3, 1? 1 What is the third biggest value in 4, 3/4, 3/2, -0.003? 3/4 What is the second biggest value in 1, -0.4, -2/17, -0.24? -2/17 Which is the second biggest value? (a) -1/45 (b) 1 (c) -3/5 a Which is the smallest value? (a) -1 (b) 1/4 (c) 0.2 (d) -0.04 a Which is the second biggest value? (a) -1/6 (b) 11 (c) 0.2 (d) -0.03 c What is the fourth smallest value in -1, -1/2, -2/209, -6, 2? -2/209 What is the third biggest value in 2/5, 15, 0.1? 0.1 What is the third biggest value in 0, -2, 0.1, -2/21? -2/21 What is the biggest value in 2, 937, -4? 937 Which is the biggest value? (a) -1/7 (b) -2/71 (c) 3 (d) -8 c Which is the third biggest value? (a) -0.412 (b) -0.1 (c) 0.1 a Which is the third smallest value? (a) 0.1 (b) -1 (c) 38/15 (d) -3 a Which is the smallest value? (a) 4 (b) -8 (c) -0.5 b What is the biggest value in 5, 0.2, -1/3, -23/5? 5 Which is the biggest value? (a) 0.1 (b) 267 (c) -4 b What is the biggest value in -6/7, 29, -58? 29 Which is the second biggest value? (a) -0.5 (b) -6 (c) 1/4 (d) 8 c What is the fourth biggest value in 2/11, -0.4, -14, 13? -14 What is the third smallest value in 1, 2, 0.3? 2 Which is the biggest value? (a) 1/5 (b) 0.5 (c) -2 (d) -1/19 b What is the smallest value in 59, -28, -1/7, -1/5, -1? -28 What is the fourth smallest value in 5, 0.4, -1/4, 38? 38 What is the third smallest value in 701, 3, 5? 701 Which is the third smallest value? (a) 1938 (b) 0.3 (c) -0.5 a What is the second smallest value in -3, 873, -2/15? -2/15 Which is the third biggest value? (a) -1/5 (b) 0.3 (c) -3 (d) 2 (e) 0.4 b Which is the third smallest value? (a) 29 (b) -9 (c) -5 a What is the second smallest value in 3, 0.2, -2/13, -4? -2/13 Which is the fourth biggest value? (a) 0.8 (b) 0.5 (c) -0.1 (d) -2/5 d What is the third smallest value in -74, 55/4, 2? 55/4 What is the fourth biggest value in 1/3, -5, 0.13, -0.1? -5 Which is the second biggest value? (a) 1 (b) 0.2 (c) -43 b Which is the third biggest value? (a) 314 (b) 1/6 (c) 0.4 b Which is the fourth smallest value? (a) -5/2 (b) -508/7 (c) -0.3 (d) -0.2 d Which is the smallest value? (a) -1 (b) -5/4 (c) 5 (d) 1 (e) -0.3 b What is the smallest value in 1.1, -3/2, -6, -3? -6 What is the second smallest value in 0, 1/4, -1692, 0.5, -0.3? -0.3 What is the second biggest value in 4, 10, -0.4, 43? 10 What is the third smallest value in -8, 5, -2, -5? -2 Which is the second smallest value? (a) -5 (b) -4 (c) 3.6 (d) -3/5 b Which is the fourth smallest value? (a) 2 (b) -25 (c) 14 (d) -2/5 (e) -1/9 a Which is the third biggest value? (a) -12 (b) 0.2 (c) -2 (d) -0.9 c What is the second biggest value in 10/73, -0.1, -7? -0.1 What is the third biggest value in 1.5, 2/5, -1/4, 4, -0.18? 2/5 What is the third biggest value in -4/7, 1, -7, 2/11, -10? -4/7 Which is the fifth smallest value? (a) -2/17 (b) -0.1 (c) -3 (d) 3/7 (e) 1/3 d What is the second biggest value in 40, 5, -0.9, -2/5, -3? 5 What is the smallest value in 0.5, 25, 2/9, 0, -0.01? -0.01 What is the fourth smallest value in -2, 2/21, 13, -0.4? 13 What is the smallest value in 15/11, -1/3, -2/7, 2/9? -1/3 Which is the smallest value? (a) 1/7 (b) 1 (c) 71 (d) 0.1 (e) -0.4 e Which is the third biggest value? (a) 17/5 (b) 0.4 (c) 0.3 c Which is the third smallest value? (a) 3 (b) 8/9 (c) -2/3 (d) -1 b Which is the third biggest value? (a) 41 (b) -0.08 (c) 0.2 (d) -3 b Which is the second biggest value? (a) -0.004 (b) -3/7 (c) 0.2 (d) -1.1 (e) -4/13 a What is the third biggest value in 4, 902, -2/9? -2/9 Which is the third biggest value? (a) -0.3 (b) -2/7 (c) 193 (d) 6 b Which is the second smallest value? (a) -0.3 (b) -15.5 (c) -1/3 c Which is the third biggest value? (a) 0.4 (b) -0.003 (c) 10 b Which is the biggest value? (a) 15 (b) -0.5 (c) -2/17 (d) -15 a What is the fifth biggest value in 2/7, 3, -14, -3, -2? -14 Which is the second smallest value? (a) 3/4 (b) 0.2 (c) 8 a Which is the fifth smallest value? (a) 10 (b) 3 (c) 5 (d) 2 (e) -0.1 a What is the fourth biggest value in -1, 3, 0.11, 2.2? -1 Which is the third biggest value? (a) -3 (b) 0.6 (c) 11 a What is the biggest value in 1, -0.22, 0.4? 1 Which is the second biggest value? (a) 5 (b) 6 (c) 2/5 (d) 25 b What is the fourth biggest value in 0.4, 3/7, 3, 2? 0.4 Which is the smallest value? (a) 1 (b) 1.9 (c) -0.1 c Which is the second biggest value? (a) -0.5 (b) 0 (c) -149 (d) 0.1 b What is the third smallest value in -2/29, 2, -1/4, 0.5? 0.5 What is the second biggest value in 45, -15/8, -4? -15/8 What is the third biggest value in -4/7, -12, -2, -0.3? -2 What is the third smallest value in 13, 4, -0.1, 0.5, -0.5? 0.5 Which is the smallest value? (a) 3 (b) -2/25 (c) -3 (d) -0.06 c Which is the smallest value? (a) 3/7 (b) 1/3 (c) -3 (d) 55 c What is the second smallest value in -1/10, -2/7, -2/5? -2/7 What is the third smallest value in 2.7, -0.4, 2, -2/15? 2 What is the second smallest value in 1, -28, -2/15? -2/15 What is the third biggest value in -5, -3, 1/7, -0.4, -0.16? -0.4 What is the third smallest value in 19, -1/5, 1/3, 1/6? 1/3 What is the biggest value in -21/2, -4, -4/5? -4/5 What is the third smallest value in -0.1, 0.07, -8/5? 0.07 What is the second smallest value in 4, -2902, -0.3? -0.3 What is the fifth smallest value in -0.4, -0.5,
{ "pile_set_name": "DM Mathematics" }
e k = -4*k + 2*d - 5, -v*k = d + 17 for k. -3 Suppose 6*k - 12 = -0. Suppose 0 = -6*g + k*g - 3*c + 6, 0 = g + 2*c - 4. Solve g = l + l - 4, z - 2 = l for z. 4 Let w(r) = -r**2 - 3*r + 23. Let c be w(-6). Solve 0 = 5*v - c*i - 30, -7*v + 3*v - 3*i = -17 for v. 5 Let p be (-2 - -3 - -2) + 3. Suppose p - 21 = -x. Solve 5*g + x = h, -g + 4*g - 9 = -3*h for g. -2 Suppose 80 = 66*s - 56*s. Solve -2*y + s = 2*a, 12 + 10 = 3*y + 5*a for y. -1 Let s be (-2)/(9/((-225)/10)). Solve 2*q = -3*z + s, 2*z - 3*q - 3 = -4 for z. 1 Let z(b) = -b**3 - 12*b**2 + 15*b + 188. Let h be z(-12). Let p(m) = m + 8. Let a be p(-6). Solve -5*l + 3*r = -0*r + 20, 2*r = a*l + h for l. -4 Suppose -113*r + 16 = -105*r. Solve r*x + 0*x + 4 = 3*l, l + 5*x + 10 = 0 for l. 0 Suppose -4*h + 20 = 4*t, -2*t - h + 1 = -6. Solve -4 = t*o + 3*m, 0 = o - m - 3*m - 20 for o. 4 Let d be 1197/126 + (-6)/4. Solve -2*m = -2*q + d, 0 = -5*q - m - 3 - 7 for q. -1 Let l(q) = q**2 - 23*q - 417. Let f be l(35). Solve 3*w + 21 = f*o, -5*w + o = 10 + 5 for w. -2 Let h(t) = -t**2 + 5*t - 4. Let v be h(3). Let u be (-16)/(-12) - 38/(-57). Solve -x + v = u*c + x, 12 = -3*x for c. 5 Suppose 29*l - 30*l + 3 = 0. Solve -l*h = -2*j + 4, -23 = -4*j + 2*h - 7 for j. 5 Let a = -362 - -365. Solve -b = 5*t - 2*b - 23, 21 = 3*t - a*b for t. 4 Suppose -2*w + 8 = -2*y, -1 + 5 = -5*y + w. Suppose -4*m - 3*r + y*r = -35, 5*r = -5*m + 50. Solve -2*d - 8 = -j, 15 = m*j - 2*d - 9 for j. 4 Let n be (-265)/(-25) - (-3)/(-5). Let q(k) = -3*k + 3. Let u be q(1). Suppose 5*x = -u*x + n. Solve t = -2*w - 11, w - 2 = x*t - 0*t for t. -3 Let c = 1270 + -1261. Solve -4*n - 3 = -5*n - 3*o, -3*n + c = -3*o for n. 3 Suppose 0 = 3*b - l - 6, 28*l = 5*b + 23*l - 10. Suppose 16 = -2*y + 2*m + 3*m, -y - 14 = -4*m. Solve -y*u = 2*x + 3*u - 3, b*x - 11 = 3*u for x. 4 Suppose -10*p - 8 = -48. Suppose p*v + 7 = -9, -12 = -5*b + 3*v. Solve b*q = -q - 4*k - 5, 2*q - 4*k = -10 for q. -5 Let o = 576 - 572. Solve -g + 0*g = 3*q - 8, -5*g + 7 = o*q for q. 3 Suppose 10*m - 840 = -2*m. Let z = m - 60. Solve 4*s - 2 = u, -5*u = -z*u + s + 9 for u. 2 Let b = 602 + -599. Solve 0 = a + b*j + 1 - 7, a - 2 = -j for a. 0 Let h = -27 + 30. Let d(i) = 3*i**2 + i - 4. Let l be d(2). Solve -3*x + 15 = 5*j, -l = x - h*x + 4*j for x. 5 Let f = 73 + -77. Let n(h) = h**3 + 4*h**2 + h - 2. Let v be n(-2). Let u be (-2)/v - 2/f. Solve -2*k - 2*m = -10, u*m - 15 = -3*m for k. 0 Let j be 2/(-2) + 4 - 1. Suppose -3 = l + 2*l, -2*d + j*l + 24 = 0. Let u be 8/44 + 196/d. Solve -4 = -2*k - 2*t, -3*k - t + u = -4*t for k. 4 Let s(n) = n**2 + n + 2. Let l be s(-4). Let i = l + -13. Suppose -i + 0 = -g - 2*a, a = -4*g + 11. Solve g = 2*b - 7, 0 = -2*c - 2*b + 12 for c. 1 Let s(d) = 13*d**3 - 3*d**2 - d + 3. Let f be s(1). Solve h - f = 5*b - 32, -5*b + 20 = 0 for h. 0 Suppose -50*i + 126 = -8*i. Solve 0 = d - 3*q + i, -6*d + 5 = -7*d + 5*q for d. 0 Suppose 5*g = 6*g + 24. Let k = -46 - g. Let v = 26 + k. Solve -j - 4*s - 2 = -7, 5*j + v*s = 25 for j. 5 Let l be (6 - 0)/(((-18)/(-21))/2). Solve -4*r - l - 5 = q, r + 5 = 0 for q. 1 Suppose -4*h + 3*r + 22 = 0, r + 8 = -3*r. Suppose -h*f + 17 = -3. Suppose 2*z = q + 5 - 2, 15 = 3*z - f*q. Solve k + 8 = 4*g, 4 = 4*g - z for k. -4 Suppose -h - 2*d - 5 = 1, -28 = -2*h + 4*d. Let a(w) = -3*w**2 - 25*w - 3. Let p be a(-8). Solve -q - c + h = -0, -4*q - 2 = -p*c for q. 2 Let a be 8*(10 + 77/(-8)). Solve 0 = -4*h - a*n + 5, -3*h = h + 2*n - 2 for h. -1 Let j be -1 + -3 + 5 - -9. Let i = -8 + j. Let h be i*3 - (-2 - -5). Solve -6 = -h*l, x - 3 = -l - 0 for x. 1 Let x be 200/6*48/(-40). Let i be 8/10*x/16. Let b be -3 + 4 - i/2. Solve -4*j - 2*a + 1 = -5*j, 2*j + 4 = b*a for j. -3 Suppose -14*v + 26 = -86. Solve -6*m + m - 4*s + 8 = 0, -m - v = 4*s for m. 4 Let j = 354 + -334. Solve j = 5*q, 4*g + 2*q + 8 = -q for g. -5 Suppose -h - 7 = -5*o + 9, 56 = -h - 3*o. Let f = 46 + h. Solve 10 = -k + 6*k - 5*c, -k + 14 = f*c for k. 4 Suppose -4*o + 3 = 2*z - 3, 3*o = -2*z + 4. Suppose -q = -o*q, 5*q - 44 = -4*v. Solve 2*t + 4*f = 18, -f + v = 4*t + 3 for t. 1 Let n be (-102)/(-6) + (-209)/19. Solve n*u = 5*u - f, 0 = -2*f + 4 for u. -2 Suppose 5*v + 1 + 11 = 2*i, 0 = 2*v + i + 3. Let q = v + 6. Suppose -c + q*c = 12. Solve 4*t + 2*b = 4*b - 14, c*t + 5*b - 21 = 0 for t. -1 Let y(k) = -k + 1. Let j be y(-1). Suppose -z - 15 = -6*z. Let m be (-3 + j)*(0 - z). Solve 2*v + v - m*r = 15, -2*r + 5 = v for v. 5 Let i(w) = -2*w + 13. Suppose -5 = -3*j - 5*v, -6*v + 3*v - 6 = 0. Let p be i(j). Solve -t + 6*t - 15 = 0, 2*k - p*t + 11 = 0 for k. -1 Let r = 1455 + -1447. Solve 4*y - r + 43 = 3*n, 0 = -2*n + y + 15 for n. 5 Suppose 3*x - 43 = 5*t, -t - x = 6 + 9. Let v(h) = -2*h - 13. Let u be v(t). Let s be (6 - 5)/(3/u). Solve z - 5*z - 2 = 2*c, 0 = 5*z + s*c for z. -3 Let r(q) = 0*q + 3*q - 2*q - 2. Let k be (0 - 112/(-24))*3/2. Let u be r(k). Solve -2*z - u*g + 1 + 5 = 0, -4*z - 10 = -g for z. -2 Suppose 2*q = -2*x + 4*q + 10, -4*q + 25 = x. Suppose 0 = -5*h + 25, -4*t + 2*h = -1 + 7. Let p be 2/t + (-16)/(-4). Solve i - n + p = -2, -3*n = -x for i. -5 Let b(p) = 48*p - 622. Let f be b(13). Solve t + 4 = d, -2*d + f = -5*t - 12 for d. 2 Suppose -7*d + 18 = 67. Let f(u) = u**3 + 8*u**2 + 6*u - 2. Let q be f(d). Solve q*m + 4*p = -17 - 16, 4*p - 12 = 4*m for m. -5 Let n be 37/(-7) - (-4)/14. Let a be 2 + 0 + (-3 - 0). Let o be (a - n)/4*4. Solve 2*m - 10 = -0*m + o*v, 3 = -3*v for m. 3 Suppose 15 = -78*d + 79*d. Suppose 2*m + 11 - d = 0. Solve -a + 2*w = 3, w + 3*w - m = -2*a for a. -1 Let h(o) = o**3 + 9*o**2 + 6*o + 64. Let t be h(-9). Solve -3*y + t = -8*y - 5*p, -p = -y + 2 for y. 0 Let v(w) = -w**3 + 18*w**2 - 18*w + 17. Let c be v(17). Solve 2*h + 2*m = -c*h - 2, -2*h - 14 = -4*m for h. -3 Suppose 13*x = -559 + 624. Solve -2*z + 4*z - 9 = 3*p, -x*p = -z + 22 for z. -3 Let a be 1 + -1*(-2 - -3). Suppose a = 10*f - 6*f - 8. Suppose -6 = -j - f. Solve -2*q - q + v + 12 = 0, 4*q + j*v = 32 for q. 5 Suppose 24 = 4*v - 2*x, -3*v + 4*x + 11 = -12. Solve -v*q = 5*l + 12 + 18, -q = 3 for l. -3 Suppose m + 2 + 5 = 2*g, -5*g + 1 = 3*m. Let f be 3/((-3)/g + 3). Solve -16 = 3*d - 4*b, -f*d - 4 = b + 3*b for d. -4 Let m = 35 - 40. Let k = m - -10. Solve -4*j - h = 7 - 3, -3*j + k*h = 3 for j. -1 Let v(m) = -m**2 + 56*m - 340. Let d be v(7). Suppose 4*l - 118 = -2*c + 2, -l + 4*c = -48. Solve 4*s + 5*w - 33 = 7, 4*s = -d*w + l for s. 5 Let a(d) be the first derivative of d**2/2 + 17*d - 26. Let z be 6/9 - (-68)/6. Let c be a(z). Solve -2*s - 2*l = 3*l - 27, c = 4*s + 5*l for s. 1 Let a(z) = -z**3 + 12*z**2 + 3. Let g be a(12). Suppose g + 13 = -4*o. Let y be (o/6)/((-10)/75). Solve -4*d = 5*p + d + y, -2*p = -d + 8 for p. -3 Suppose 0 = -6*a - 1 + 19. Suppose a*b = -5 + 2. Let u be -1 + b + 24/6. Solve -14 = -l - 3*r, 0 = -2*r + 8 + u for l. -1 Let t = 1287 - 1283. Solve -t*w + 3*j + 1 = -7, -3*w - 11 = 2*j for w. -1 Let h = 71 - 69. Solve 28 - 1 = 5*s + 4*f, -s + 9 = h*f for s. 3 Suppose 4*g = -12*g + 80. Solve g*w + f + 8 = 0, 4*f + 10 + 0 = 2*w for w. -1 Let g = 2304 - 2288. Solve 2*b + g = -4*s - 2*b, 2*b = s - 2 for s. -2 Let z = 256 - 250. Solve 20 = 4*t, 3*r + r + z = 2*t for r. 1 Let t = -85 + 161. Suppose -t*u = -80*u + 16. Solve -3*n + 16 = 7*a - 2*a, 3*n = u*a - 29 for n. -3 Let a = 3 - -3. Let s = 21 + a. Suppose 4*n - s = n. Solve 7 = 4*w - 2*i - n, 3*w = 5*i + 26 for w. 2 Suppose 0 = -2*j - 54 - 8. Let f be (5 - 4)*-2 - j. Solve 8 = -w - 2*d, w + w = 5*d + f for w. 2 Let d be (-42)/(-9) + 4/(-6). Suppose a = 9 + d. Let s = 18 - a. Solve -s*u + i = 3*i - 5, 5*u + 4*i = -5 for u. 3 Let l(h) = -8*h**2 + 26*h - 16. Let p be l(2). Solve -4*z = -4 + 20, 32 = -p*k - 5*z for k. -3 Let k(y) = -2*y**3 - 4*y**2 - 8*y - 12. Let i be k(-2). Let j be -4 - (4*-3 + i). Solve -5*o + 6*u - 2*u = -j, 0 = -o - 2*u - 2 for o. 0 Let l = -679 - -682. Solve q - 2*q - 17 = 5*j, 0 = -3*q + j - l for q. -2 Let z = -36 + 65. Let c be -4*(11 + (-105)/28). Let k = z + c. Solve k = -3*n - n + t - 9, n = -t - 1 for n. -2 Let b be (24/20)/(8/(480/18)). Solve 2*o + 9 = q, -b*q - o = -0*q - 18 for q. 5 Let m(a) = a**3 + 8*a**2 + 10*a - 12. Let v be m(-6). Solve v*i - 10 = -2*i, 4*n + 1 = i for n. 1 Suppose -2*r + 3*r = 5. Let i(v) be the third derivative of -v**4/12 + 29*v**
{ "pile_set_name": "DM Mathematics" }
any millilitres are there in 7.888299l? 7888.299 How many litres are there in 91742.93ml? 91.74293 How many tonnes are there in 9.061159 nanograms? 0.000000000000009061159 What is seven quarters of a microsecond in nanoseconds? 1750 Convert 0.8754311mm to centimeters. 0.08754311 How many meters are there in 70.14264mm? 0.07014264 What is 528.437 nanograms in tonnes? 0.000000000000528437 How many milliseconds are there in 751.625 seconds? 751625 What is one twentieth of a micrometer in nanometers? 50 Convert 9.737335l to millilitres. 9737.335 Convert 43.00809cm to meters. 0.4300809 Convert 48.08837l to millilitres. 48088.37 What is 24095901.6us in days? 0.00027888775 What is 76.007 milliseconds in seconds? 0.076007 What is two fifteenths of a minute in seconds? 8 What is twenty-one quarters of a millennium in years? 5250 How many micrometers are there in 3.537749km? 3537749000 How many centuries are there in 0.5681922 months? 0.0004734935 Convert 82414.5m to micrometers. 82414500000 What is 3/5 of a litre in millilitres? 600 How many milligrams are there in twenty-one fifths of a gram? 4200 What is 430.0729 millimeters in centimeters? 43.00729 Convert 8.193447 weeks to minutes. 82589.94576 What is 0.4239348 micrograms in tonnes? 0.0000000000004239348 What is 3/25 of a gram in milligrams? 120 How many decades are there in 5.88322 millennia? 588.322 What is 9.171321l in millilitres? 9171.321 What is 0.0279517 weeks in nanoseconds? 16905188160000 How many micrometers are there in 5/4 of a centimeter? 12500 What is 20.871789 months in years? 1.73931575 How many tonnes are there in 0.575255 nanograms? 0.000000000000000575255 Convert 70967.98 millennia to centuries. 709679.8 How many months are there in 6/5 of a century? 1440 Convert 15.04333nm to kilometers. 0.00000000001504333 What is 238.6563m in millimeters? 238656.3 How many micrometers are there in 42/5 of a millimeter? 8400 What is 71/5 of a kilogram in grams? 14200 How many millilitres are there in 835560.8 litres? 835560800 How many centimeters are there in seven halves of a meter? 350 What is 9934.112 years in months? 119209.344 What is 5/8 of a milligram in micrograms? 625 What is 529.298ml in litres? 0.529298 How many months are there in 6/25 of a millennium? 2880 How many milligrams are there in 3.506204g? 3506.204 How many kilograms are there in 1/10 of a tonne? 100 What is 3/25 of a meter in millimeters? 120 What is 1/5 of a second in milliseconds? 200 Convert 998970.6 millilitres to litres. 998.9706 How many millimeters are there in twenty-six fifths of a centimeter? 52 What is 15/4 of a century in months? 4500 How many litres are there in 53832.78 millilitres? 53.83278 How many centimeters are there in one tenth of a kilometer? 10000 What is 5406.018ng in milligrams? 0.005406018 How many days are there in eight sevenths of a week? 8 How many millimeters are there in 3/5 of a meter? 600 Convert 73.5361389 microseconds to weeks. 0.00000000012158753125 How many nanometers are there in 3/40 of a millimeter? 75000 How many grams are there in 161.4728 nanograms? 0.0000001614728 How many nanograms are there in 23942.72g? 23942720000000 What is 0.5457255 months in decades? 0.0045477125 What is three eighths of a litre in millilitres? 375 How many months are there in 798.0512 centuries? 957661.44 What is three eighths of a week in minutes? 3780 What is 83.99823 millilitres in litres? 0.08399823 Convert 37.96375 litres to millilitres. 37963.75 How many meters are there in 972.4264 millimeters? 0.9724264 Convert 5.255835 years to decades. 0.5255835 How many centimeters are there in 32.01783 millimeters? 3.201783 How many millilitres are there in 3/5 of a litre? 600 Convert 72797.62km to meters. 72797620 How many years are there in 3/10 of a millennium? 300 How many minutes are there in 23/6 of a day? 5520 How many years are there in 3/5 of a century? 60 How many days are there in 3458.496 weeks? 24209.472 Convert 2363.834 millilitres to litres. 2.363834 Convert 786953.6 decades to months. 94434432 What is 32.0125l in millilitres? 32012.5 How many decades are there in 17563.062 months? 146.35885 What is 10658.62 litres in millilitres? 10658620 What is 2/45 of a day in seconds? 3840 Convert 75.38318 centuries to decades. 753.8318 Convert 2.846171kg to grams. 2846.171 How many millimeters are there in eleven halves of a centimeter? 55 How many nanometers are there in 0.212788m? 212788000 What is 8735.302 millilitres in litres? 8.735302 How many grams are there in six fifths of a kilogram? 1200 Convert 5498.104l to millilitres. 5498104 How many meters are there in 1/4 of a kilometer? 250 What is 3/5 of a minute in milliseconds? 36000 What is twenty-three thirds of a decade in months? 920 What is 1/4 of a decade in months? 30 How many kilometers are there in 3.614865um? 0.000000003614865 Convert 340890.3 litres to millilitres. 340890300 How many centimeters are there in nineteen quarters of a meter? 475 How many micrometers are there in 0.3685119 millimeters? 368.5119 How many litres are there in 6458.193 millilitres? 6.458193 How many litres are there in 2.892462ml? 0.002892462 What is six fifths of a litre in millilitres? 1200 What is 1/64 of a kilogram in milligrams? 15625 What is 74.01879m in centimeters? 7401.879 What is 6/5 of a milligram in micrograms? 1200 Convert 205.3758 decades to months. 24645.096 How many kilometers are there in 46274.49m? 46.27449 Convert 29.66316 centuries to months. 35595.792 Convert 51196.392 nanoseconds to hours. 0.00000001422122 How many millimeters are there in 827529.9cm? 8275299 Convert 15200.29 nanoseconds to seconds. 0.00001520029 How many nanograms are there in 43/4 of a microgram? 10750 What is 1/16 of a tonne in grams? 62500 Convert 79405.67 meters to nanometers. 79405670000000 Convert 3919.168mg to micrograms. 3919168 How many tonnes are there in 3973.25 grams? 0.00397325 How many millilitres are there in 42/5 of a litre? 8400 What is three eighths of a centimeter in micrometers? 3750 How many meters are there in 55720.22um? 0.05572022 What is 26026.72l in millilitres? 26026720 How many centimeters are there in 38.81095 millimeters? 3.881095 How many litres are there in 77205.71 millilitres? 77.20571 Convert 42.8005ml to litres. 0.0428005 How many months are there in 385066.3 decades? 46207956 How many decades are there in 3/5 of a century? 6 What is 28.53881mg in grams? 0.02853881 Convert 624.796l to millilitres. 624796 How many millilitres are there in 5/4 of a litre? 1250 What is 0.5819167 litres in millilitres? 581.9167 Convert 447.721 millilitres to litres. 0.447721 How many meters are there in 760378.2mm? 760.3782 Convert 65.74435 grams to micrograms. 65744350 What is sixty-nine halves of a litre in millilitres? 34500 How many hours are there in five quarters of a day? 30 What is ten ninths of a day in minutes? 1600 How many months are there in six fifths of a millennium? 14400 How many months are there in 5/4 of a decade? 150 Convert 28902.52g to micrograms. 28902520000 How many micrograms are there in 2535.051 tonnes? 2535051000000000 How many millimeters are there in 18/5 of a centimeter? 36 How many hours are there in seven sixths of a day? 28 What is fourty-seven quarters of a day in minutes? 16920 Convert 4.398071ns to seconds. 0.000000004398071 What is 327.6054 months in years? 27.30045 Convert 6103.334 hours to seconds. 21972002.4 How many micrograms are there in 194.4901 tonnes? 194490100000000 How many seconds are there in one ninth of a week? 67200 How many minutes are there in seven halves of a day? 5040 Convert 455.0927m to kilometers. 0.4550927 What is 3.344647 millilitres in litres? 0.003344647 How many years are there in 13/4 of a millennium? 3250 Convert 1747.059 centuries to years. 174705.9 Convert 81726.25m to micrometers. 81726250000 How many nanograms are there in 50.64925 kilograms? 50649250000000 How many litres are there in 21067.93 millilitres? 21.06793 What is 4/15 of a decade in months? 32 What is 6.217222 litres in millilitres? 6217.222 Convert 45.14218 millennia to months. 541706.16 What is thirteen fifths of a litre in millilitres? 2600 How many nanograms are there in 0.0231663 grams? 23166300 How many kilograms ar
{ "pile_set_name": "DM Mathematics" }
9? True Let z be (0 - 0) + (-5)/(-9). Let y = z - 43/45. Let b = -2.8 + 3. Which is greater: y or b? b Suppose -f - 2*o = o - 14, 0 = 5*f - 3*o + 2. Let b = -1 - -3. Suppose 6 = b*m + 3*u, 0 = -u + 4*u. Which is smaller: f or m? f Suppose 2*k - 3*k + 1 = 0, 4*b - 2*k + 6 = 0. Is b at most as big as 1/140? True Let d be 11/(-3) + 2/3. Let w be (-19)/(-7) - (d - -1). Let m = 5 - w. Is m greater than or equal to 0? True Suppose 14*y - 360 = 130. Is 34 at least as big as y? False Let y = -0.02 - -0.22. Let d = y - 0.2. Which is smaller: d or -1/7? -1/7 Suppose 3 = i - 3. Suppose -2*l - i*y + 7 = -3*y, -3*y + 3 = 0. Is -1 less than l? True Let j = 78/5 + -16. Suppose -1 + 0 = -h. Let b be 5/3 - (h - -1). Which is bigger: b or j? b Let p = -0.4 - -1.6. Let d = -0.2 + p. Let u(g) = -g + 15. Let l be u(17). Which is smaller: d or l? l Let j = 1 - 0.9. Let x = -3 + 3.1. Let l = x + 0. Is l greater than j? False Suppose -2*n = j - 4, -n = 3*n - 20. Let k = 5 + -10. Is j less than or equal to k? True Let o be (2/(-5))/((-5)/50). Suppose k - 1 = -3*d, d + o*k - 1 = 3. Is d equal to 0? True Suppose -l + 20 = 2*m, -3*m + 0*m + 23 = l. Let x be 74/l + 6/(-21). Which is smaller: 4 or x? 4 Let q(g) = -g**3 - 5*g**2 + 6*g + 5. Let z be q(-6). Let f = -1 + z. Let b = f - 2. Are b and 2 nonequal? False Let s = -1236/5 + 14677/60. Let q = -7/3 - s. Do q and 0.1 have different values? True Let n be -2 - (-3 + 2 + -8). Do n and 8 have the same value? False Let a = -323/104 + 42/13. Which is bigger: a or 4? 4 Let j = 44 - 74. Let n = -91/3 - j. Are n and -1 nonequal? True Let o be 4/(-8) - 94/4. Let v be (-28)/(-3) - (-8)/o. Suppose v = -5*x - 11. Is x at least -4? True Let d = 563/5168 - 1/272. Which is smaller: d or 0.3? d Let f = 1.9 - -0.1. Let v = 2.06 - f. Let m = -1609/2 + 804. Is m greater than or equal to v? False Let l(g) = -g**3 + 2*g**2 + 3*g - 2. Let q be l(3). Let o = 6 - q. Suppose -3*j = -o*j + 5. Are 1 and j equal? True Let v be (6/(-1))/(5/(-25)). Is v bigger than -1? True Suppose r + 26 = 3*o - 5*o, -2*o + 2*r - 20 = 0. Let k = -13 - o. Let h be -1 - -1*(-34)/(-30). Which is smaller: h or k? k Let g = -32.32 - -0.32. Are g and -0.1 non-equal? True Let m be (-5 - -3)*(-5 + 0). Let x = -18 + m. Is x equal to -7? False Let y be 2/(-4)*0 - -10. Suppose 4*v - 5 = -z - 19, -v = -3*z + y. Let w be ((-7)/v)/(5/4). Is w bigger than 0? True Let y be 4/(-6) - (-10)/15. Suppose 3*o = 2*w + o, y = 3*o. Suppose d + 2 = 3*s, -4*s - d + w*d = 2. Which is greater: -1 or s? s Suppose -m - 3*f = -84, -m + 4*m = -4*f + 227. Let z be 2/(-7) - m/(-168). Does z = -1? False Let b(j) = -j + 11. Let k(l) = -l**2 + 7*l + 4. Let i be k(6). Let d be b(i). Is d at most 1? True Let n(k) = 2*k**2 - 26*k + 27. Let p be n(13). Is 26 > p? False Let k = -1.66 - -1.7. Which is bigger: k or 1/3? 1/3 Let t = -3 + 9. Let g = t - 2. Suppose 0 = -4*a + 8 - g. Is a > 4? False Let i = -0.7 - -0.72. Let b = 0.18 - 0.06. Let w = i - b. Is -0.1 bigger than w? False Let g be 1/2 - 2/(-4). Let y be (-3 + (-54)/(-26))*(-16)/32. Which is bigger: g or y? g Suppose 3*y - 4*n = 16, -5*n = -2*y - 2*y + 20. Which is smaller: 2/55 or y? y Suppose j - 4*j + 3 = 0. Suppose -f - 5 = -2*c, 3*f - 3*c + 5 + j = 0. Which is greater: -0.07 or f? f Suppose -5*u - z = 11 - 5, -3*z = u + 4. Is -6/5 equal to u? False Suppose 0 = q + 4*r + 1, -3*q - 8 - 6 = r. Let z = q + 8. Suppose -z*p = -x + 15, -2*p + 0*x = x + 5. Is p != -4? False Let i = 4.2 + -4. Let v(x) = -x**2 + 9*x + 10. Let y be v(10). Is i less than y? False Suppose -4 = -r - 2*j, -2*j + 15 = -5*r - 25. Are r and -26/5 nonequal? True Let t be (-1)/3*1 - (-1250)/(-30). Which is bigger: t or -3? -3 Let w = 49 - 76. Let p be 17517/w*18/(-21). Let y = -556 + p. Which is smaller: y or -1? -1 Let p = -0.1 - -2.1. Let u = -3 - 2. Let g = u - -2. Which is bigger: g or p? p Let c = 2.1 + -2. Let n = 14 - 20. Let z = n - -8. Is z <= c? False Let a = -0.3 - -1.3. Suppose -3*h = -4*h + 5. Suppose h*t + 4 = 19, -2*i - 4*t = -8. Is i bigger than a? False Let p be (-1 + 0)/(1 + 0). Let a = -0.04 - 4.96. Let r = a - -5.2. Is r at least as big as p? True Let n be 2 - (1 + (2 - 2)). Which is greater: -2/7 or n? n Let l be 8/(-28) - (-96)/189. Is l >= -9? True Let j = 0 - 1. Let q = -3 + j. Let a = q - -5. Is a at least as big as -2? True Suppose 3*u - 4*u + 9 = 0. Suppose u*h = 4*h - 5. Which is greater: h or 2/3? 2/3 Let y = -0.5 - -0.42. Let z = -2.92 + y. Let f = z + 2.9. Is -5 greater than f? False Suppose 5 + 10 = 3*k, -4*k + 20 = 2*y. Is y < 2/9? True Let u = 1.6 - 1.4. Is -0.1 less than u? True Let i = 0.25 + -0.1. Let d = i - 7.15. Which is smaller: d or 2/5? d Let i(m) = -m - 1. Let r be i(-6). Suppose -r*g - 24 = -74. Is 10 less than or equal to g? True Let m = -37 + 37.1. Is m bigger than 54? False Let u(v) = 3*v**3 + 6*v**2 - 9*v - 3. Let n(i) = -4*i**3 - 6*i**2 + 10*i + 3. Let w(s) = -4*n(s) - 5*u(s). Let g be w(5). Let h = 3 - 0. Is h less than g? False Let k = 0.155 + 0.845. Which is smaller: k or 12/7? k Suppose -v + 5 = c - 0*v, 4*v - 16 = -2*c. Is 11 > c? True Let k be (2/4)/(8/(-128)). Suppose 0*y - 8 = y. Is k not equal to y? False Suppose 16*a = 279 + 393. Which is bigger: -1 or a? a Suppose 5*g - 30 = 30. Let b = -17 + g. Is b at least -5? True Let i(b) be the third derivative of b**5/60 - b**4/4 + 5*b**3/6 + 2*b**2. Let d be i(5). Which is greater: 1/7 or d? 1/7 Suppose 0 = -n + 5*n + 8. Let k = 0 + n. Let s = 82/3 - 28. Do k and s have the same value? False Let s = -6 - 5. Let b = 4 - s. Let u be ((-12)/b)/(4/(-10)). Which is bigger: 1 or u? u Let v = 31 + -31.28. Which is smaller: -2 or v? -2 Let m be (-34)/(-8) - 5/20. Let a be (-2)/28 + m/(-8). Let j = -0.4 + 0.3. Which is smaller: a or j? a Suppose -13 = -3*f - 3*a - 4, 0 = -5*f + 5*a - 5. Let g be -3*(f - 3 - -1). Suppose -2*t = g*t. Is -4 > t? False Let n be (-1)/(4/(-6))*(-32)/(-6). Which is smaller: 6 or n? 6 Let f = 5.9 + 1.1. Let t = 7.6 - f. Let m = 0.4 - t. Which is smaller: -2/5 or m? -2/5 Let c be 4*(-1 + (-2)/(-8)). Let v(p) = -2*p**2 - 2*p + 1. Let n = -2 + 3. Let t be v(n). Is t != c? False Suppose 3*s - 9 = 0, -3 = -5*c + s + 4. Let x be 22/(-6) + 6/c. Which is smaller: x or -1? -1 Let k be 0 + 2 + 14 + (-16)/4. Which is greater: k or 10? k Let l = 0.04 - 0.13. Let v = l - 0.01. Are -1 and v equal? False Let t = -63/1649 + -2/97. Suppose 0 = -2*f + 2 - 0. Is t at most as big as f? True Let u = 3 + 4. Let z = u - 7. Which is greater: z or 0.1? 0.1 Suppose 0 = -x + 3*x + 6. Suppose 3*a - 10 - 2 = 0. Suppose 3*l + 4 = -4*s, -a*l + 0*l = 3*s + 3. Which is smaller: x or s? x Let p be (2 - 10) + 0 + 3. Is -6 bigger than p? False Suppose -4 = 5*m - t - 22, -5*m + 30 = -5*t. Suppose -2*s = -s + 1. Is m at least s? True Let h be (-3423)/(-20) + 3/12. Let s = h + -172. Let b = s - -1/35. Which is greater: 0 or b? 0 Let y be 6*(-1 + (-1)/(-3)). Let x = -139 + 136. Do x and y have different values? True Suppose -w = -4*p + 2, -2*p - 3*p - 10 = 5*w. Is p at least -1/28? True Suppose 9 = 6*z - 2*z - 5*h, -4*z - 5*h = 1. Suppose 1 = p - z. Is 2 not equal to p? False Let n = 11/12 - 5/12. Is n less than 0.06? False Suppose -1 = -5*w + 14. Let z = 2 - w. Is z less than or equal to -6/11? True Suppose 2*y + y + 6 = 0. Suppose 0 = -3*x + 25 - 10, -l - 2 = -x. Suppose -4*r + r = l. Is y <= r? True Let d(k) be the third derivative of -k**6/120 - k**5/30 + k**4/12 - 2*k**3/3 + k**2. Let z be d(-3). Which is smaller: -7/3 or z? -7/3 Suppose -5*d - 3*o = 13, 7 - 3 = -3*d + 2*o. Which is smaller: d or -1? d Suppose -4*s = -w + 2*w - 11, -2*s + 8 = -2*w. Let c = 3407/16 + -213. Let d = 5/16 + c. Which is smaller: w or d? w Let x = 4.811 - 0.111. Let i = -5 + x. Let z = -0.13 + 1.13. Which is smaller: i or z? i Let g = -1 + 1.1. Let t(i) = 2*i. Let z be t(2). Suppose 0*b = -5*b + 3*p + 9, -z*b = 3*p - 18. Is b at most g? False Suppose -n + 12 = -0*n. Suppose w + 4 = -2*u, -2*w - n = 5*u - 1. Suppose -w*x = -0*x + 2. Which is bigger: 1 or x? 1 Let x(w) = 3*w + 7. Let u be x(6). Suppose -2*f = -d + 17, 0*d = 5*d - u. Let n be (-5)/(-15)*f/8. Is n less than or equal to 3/2? True Let q be 3/(-3) - (1 - 1). Let y be (144/(-574))/(3/4). Let o = y - -2/41. Which is smaller: o or q? q Suppose 56 + 7 = -3*k. Wh
{ "pile_set_name": "DM Mathematics" }
**4/36 + 148*x**3/9 + 295*x**2/6 + 5*x + 364. Factor g(o). (o + 1)*(o + 295)/3 Let g(w) be the first derivative of w**5/240 - w**4/32 - w**3/6 + 42*w**2 - 142. Let h(d) be the second derivative of g(d). Suppose h(n) = 0. Calculate n. -1, 4 Let w(n) be the first derivative of 7*n**5/100 - n**4/60 + 5*n - 62. Let z(h) be the first derivative of w(h). Factor z(m). m**2*(7*m - 1)/5 Solve -8/5 - 14/5*l**2 + 4*l - 1/5*l**5 + 4/5*l**4 - 1/5*l**3 = 0 for l. -2, 1, 2 Let p(s) be the third derivative of 61*s**2 + 1/30*s**5 + 0 + 0*s + s**3 - 1/3*s**4. Determine w so that p(w) = 0. 1, 3 Let b(z) = -z**2 - 28*z + 84. Let i be b(-31). Let l be i/15*65/(-117). Factor l*p**2 + 1/3 - 2/3*p. (p - 1)**2/3 Factor -1344/5*i + 3/5*i**4 - 624/5*i**2 - 12*i**3 + 0. 3*i*(i - 28)*(i + 4)**2/5 Let c(g) be the second derivative of -2*g**2 + 4/3*g**5 - 16*g + 10/3*g**3 + 85/24*g**4 + 0 + 1/8*g**6. Let a(p) be the first derivative of c(p). Factor a(u). 5*(u + 1)*(u + 4)*(3*u + 1) Let v(j) = -1312*j**2 + 2274*j - 2262. Let n(z) = -131*z**2 + z. Let p(l) = 20*n(l) - 2*v(l). Factor p(o). 4*(o - 1131)*(o - 1) Let y(x) be the third derivative of 0*x - 35*x**2 + 1/300*x**6 + 4/5*x**3 - 7/150*x**5 + 1/15*x**4 + 0. Solve y(s) = 0. -1, 2, 6 Let j = 30101/7 + -4298. Let n(x) be the first derivative of -j*x**2 + 1/21*x**6 + 4/21*x**3 - 18/7*x + x**4 + 2/5*x**5 - 19. Find w such that n(w) = 0. -3, -1, 1 Let r(x) be the third derivative of -x**7/840 - x**6/48 - x**5/10 + 5*x**4/48 + 25*x**3/24 - 5754*x**2. Factor r(n). -(n - 1)*(n + 1)*(n + 5)**2/4 Let g(v) = -2*v**2 + 98*v + 14112. Let t be g(-63). Let -2/3*p**4 + 36*p**3 + 0 - 486*p**2 + t*p = 0. What is p? 0, 27 Let g(t) = -60*t - 83. Let o be g(-10). Factor -481*w + o*w + 5*w**4 - 17*w**4 + 16 - 20*w**3 + 12*w**2. -4*(w + 1)**3*(3*w - 4) Let p(d) = -28*d**3 + 414*d**2 - 326*d - 9. Let v(x) = 168*x**3 - 2467*x**2 + 1955*x + 55. Let s(m) = -34*p(m) - 6*v(m). Factor s(j). -2*(j - 12)*(j - 1)*(28*j + 1) Let c(p) = 2*p**4 + 2*p**3 + p**2 - p + 3. Let l(a) = -11*a**4 - 21*a**3 + 4*a**2 + 42*a - 74. Let q(t) = -6*c(t) - l(t). Let q(w) = 0. Calculate w. -2, 2, 7 Suppose 4*u - 30 = -2*m, 3*u - 3*m + 0*m = 0. Suppose 10*b - 5*b + 2*n = u, 4*b - 2*n - 22 = 0. Let -3*g**2 + 3*g**3 - 11*g**2 - b*g + 14*g**2 = 0. What is g? -1, 0, 1 Let z(j) be the third derivative of -j**7/70 + 9*j**6/40 - 13*j**5/20 - 9*j**4/8 + 7*j**3 - 549*j**2. Find d such that z(d) = 0. -1, 1, 2, 7 Let m(a) be the second derivative of -a**5/40 + 59*a**4/8 - 3481*a**3/4 + 205379*a**2/4 + 5052*a. Determine f, given that m(f) = 0. 59 Let o(b) be the first derivative of -2*b**3/39 - 1103*b**2/13 + 340*b - 7345. Factor o(t). -2*(t - 2)*(t + 1105)/13 Factor -1/6*d**2 + 51/2 - 8*d. -(d - 3)*(d + 51)/6 Let r be ((-258)/(-9) + -3 + -23)/4. Let -r*a**3 + 2/3*a - 2/9*a**2 + 2/9 = 0. What is a? -1, -1/3, 1 Let z(j) = j**2 + 0*j**2 - j**3 - 1 - 592*j - 593*j + 1186*j. Let v(x) = 9*x**3 - 5*x**2 - 17*x + 13. Let u(a) = v(a) + 5*z(a). Suppose u(y) = 0. Calculate y. -2, 1 Let l(b) = -7*b**4 - 159*b**3 - 285*b**2 + 435*b + 16. Let u(r) = -r**4 - r**3 + r**2 - 3*r + 4. Let h(w) = l(w) - 4*u(w). Factor h(q). -q*(q - 1)*(q + 3)*(3*q + 149) Determine w so that -3/4*w**2 - 153/4*w + 609/2 = 0. -58, 7 What is v in 72 + 226*v**2 - 298/3*v**3 + 14*v**4 - 640/3*v + 2/3*v**5 = 0? -27, 1, 2 Let d(k) = -9*k - 6. Let h(z) = z - 1. Let m(n) = -d(n) + 6*h(n). Let c = 13 + -25. Let x(l) = l**2 - l. Let y(j) = c*x(j) - m(j). Factor y(b). -3*b*(4*b + 1) Determine q, given that -36845*q**2 + 43*q**3 + 65*q - 23*q + 36919*q**2 + 6*q**4 - 5*q**3 = 0. -3, -7/3, -1, 0 Factor 395*y**2 - 4*y**3 - 262*y**2 - 196*y**2 + 558 - 273*y - 219*y**2 + y**3. -3*(y - 1)*(y + 2)*(y + 93) Let i be 1*-5 - (-97 + 13). Let s = i + 149. Factor -227*b**2 - 9*b + 4 - 14 + s*b**2. (b - 10)*(b + 1) Suppose 18 = 3*s - 4*m, -3*s - 11*m + 12*m + 9 = 0. Determine j, given that 2 + 15*j**s - 6*j**2 - 3*j - 8*j**2 = 0. 1, 2 Let z(u) be the second derivative of u**6/24 - 7*u**5/6 + 35*u**4/8 + 30*u**3 + 116*u**2 - 3*u - 27. Let g(o) be the first derivative of z(o). Factor g(f). 5*(f - 12)*(f - 3)*(f + 1) Let y(f) be the third derivative of f**5/160 - f**4/4 - 33*f**3/4 + 1423*f**2. Find d, given that y(d) = 0. -6, 22 Suppose 10 = -49*m + 50*m - z, -31*z = -2*m + 194. Determine r so that -104/17*r - 2/17*r**5 - 32/17 - 74/17*r**3 - 20/17*r**m - 128/17*r**2 = 0. -4, -2, -1 Let m(h) be the third derivative of h**5/150 - 7*h**4/15 + 44*h**3/5 + 9*h**2 - 25*h + 4. Factor m(g). 2*(g - 22)*(g - 6)/5 Let x(u) = 3*u**2 - 78*u + 51. Let o(h) = -2*h**2 + 51*h - 34. Let m = 258 - 263. Let r(b) = m*x(b) - 8*o(b). Factor r(f). (f - 17)*(f - 1) Find c, given that -22*c**2 - 15*c**2 - 590*c**3 + 94*c**4 - 399*c**4 - 5*c**5 + 47*c**2 + 295 + 595*c = 0. -59, -1, 1 Let v = -6762 + 6764. Let k(x) be the first derivative of -7 - 6/13*x**3 - 8/13*x - 12/13*x**v - 1/13*x**4. Factor k(z). -2*(z + 2)**2*(2*z + 1)/13 Suppose -40 = -3*l - 215*v + 220*v, -8 = -l + v. Factor 8/13 - 2/13*n**2 + l*n. -2*(n - 2)*(n + 2)/13 Suppose 2665 = 39*s - 1079. Let b be (-448)/s + 4 + 1. Factor 0 - 1/3*l**4 + b*l**2 + 2/3*l**3 - 2/3*l. -l*(l - 2)*(l - 1)*(l + 1)/3 Let f(o) be the second derivative of o**5/90 + 65*o**4/9 - 29*o**3 + 392*o**2/9 + 72*o - 4. Let f(v) = 0. Calculate v. -392, 1 Let u(h) = h**2 - 4*h + 9. Let b(i) be the first derivative of i**3/3 - 3*i**2 + 8*i + 211. Let a(w) = 6*b(w) - 7*u(w). Factor a(f). -(f + 3)*(f + 5) Let u be -1 + 102/9 + (-4)/12. Suppose -7*k + u = -2*k. Factor k*z**2 - 3*z**2 + z + 4*z - 6*z. -z*(z + 1) Let t = -8459 - -84599/10. Let j(q) be the first derivative of 0*q**2 + 2/5*q**6 + 27/25*q**5 - 13 + 0*q + t*q**4 + 1/5*q**3. Suppose j(v) = 0. Calculate v. -1, -1/4, 0 Let t(l) be the second derivative of -3*l**5/20 + 26*l**4 - 3397*l**3/2 + 49923*l**2 + 1475*l - 2. Factor t(v). -3*(v - 43)**2*(v - 18) Let v(s) = s**2 + s - 9. Let i = -16 + 19. Let z be v(i). Factor z*r**2 - 4*r**2 - 7*r**2 - 12*r**3 + 4*r**5. 4*r**2*(r - 2)*(r + 1)**2 Let -925/6 - 5/6*a**3 + 615/2*a - 305/2*a**2 = 0. What is a? -185, 1 Let h = -89 + 94. Suppose -3*p - 2*p - 2 = -4*s, -3*p - 9 = -h*s. Factor -2/17*x**p - 6/17 - 8/17*x. -2*(x + 1)*(x + 3)/17 Let p(d) be the second derivative of d**6/180 - 5*d**5/4 - d**4/72 + 25*d**3/6 - 270*d. Let p(f) = 0. What is f? -1, 0, 1, 150 Suppose 10*n - 98 = 292. Let r be (-3 - n/(-9))/(252/54). Solve 0 - 10/7*s**2 - 8/7*s**3 - r*s**4 - 4/7*s = 0. -2, -1, 0 Let f(g) be the first derivative of 1/11*g**2 + 0*g**3 - 35 - 1/66*g**4 + 37*g. Let t(u) be the first derivative of f(u). Suppose t(v) = 0. What is v? -1, 1 Let 3327/8*f**2 - 3321/8*f**3 + 1101/8*f**4 + 3/8*f**5 + 0 - 555/4*f = 0. What is f? -370, 0, 1 Let i(s) be the third derivative of s**5/20 - 37*s**4/4 + 72*s**3 - 2800*s**2. Suppose i(q) = 0. Calculate q. 2, 72 Suppose q = 3*l + 23, 57*l - 54*l + 15 = -3*q. Let z(m) be the first derivative of 0*m - 22/3*m**3 - 23 - 2*m**q. Factor z(i). -2*i*(11*i + 2) Let t(x) be the first derivative of -x**6/360 + x**5/10 - 3*x**4/2 - 55*x**3/3 - 2*x - 67. Let z(n) be the third derivative of t(n). Solve z(j) = 0. 6 Let q be 392/(-294)*135/(-60). Factor 0*h**2 - 2/5*h**q + 0 + 2/5*h. -2*h*(h - 1)*(h + 1)/5 Let b(f) = f**2 + 14*f + 59. Let d be b(-6). Let r be d + (2629/(-121) - -11). Determine q, given that 0*q**3 + 0 - r*q**4 - 1/11*q**5 + 0*q + 4/11*q**2 = 0. -2, 0, 1 Let y(k) be the third derivative of k**5/36 - 185*k**4/36 + 355*k**3/6 + 1138*k**2. Determine c so that y(c) = 0. 3, 71 Let q = 5078 - 5078. Let a(k) be the second derivative of 1/70*k**5 + 0*k**4 + 2/105*k**6 - 2*k + 0*k**2 + q*k**3 + 1/147*k**7 + 0. Find b, given that a(b) = 0. -1, 0 Factor 0 - 1/3*i**3 - 482/3*i + 161*i**2. -i*(i - 482)*(i - 1)/3 Suppose 0 = 5*m + 2*m + 658. Let q = 335 + m. Determine b so that 3 + 250*b - q*b + 3*b**2 + 3 = 0. -2, -1 What is y in -8*y - 76*y**2 + 1107 + 60*y - 586 - 521 = 0? 0, 13/19 Suppose 2*v = 8, 2*i - 21*v - 24 - 16 = -22*v. Find r, given that i + 1/2*r**5 + 24*r + 1/2*r**2 - 1/2*r**4 - 13/2*r**3 = 0. -2, -1, 3 Let g(i) = -3*i**3 - 39*i**2 + 4*i + 54. Let o be g(-13). Solve -21*n**o - n**3 + 10*n - 23 + n**2 + 11*n + 23 = 0. -21, 0, 1 Let k = 4215 + -63217/15. Let t(w) be the second derivative of 0*w**2 - k*w**3 - 2/15*w**4 + 0 + w
{ "pile_set_name": "DM Mathematics" }
5970*l + 22996 What is the derivative of -238616*c**3 + 5*c**2 + 116143 wrt c? -715848*c**2 + 10*c Find the second derivative of 9270659*s**2 - 153*s + 8091 wrt s. 18541318 What is the third derivative of -1186*s**6 + 1093*s**5 + 5191534*s**2 wrt s? -142320*s**3 + 65580*s**2 What is the third derivative of -36945092*y**3 - y**2 - y + 2374286? -221670552 Find the first derivative of -2*n**4 - 955742*n**3 - 4*n + 1911307. -8*n**3 - 2867226*n**2 - 4 Find the second derivative of -j**4 - 350101*j**3 + 21875775*j. -12*j**2 - 2100606*j What is the derivative of 6250225*m*s - 17890914*m wrt s? 6250225*m Find the third derivative of -299*g**5 - 1277126*g**4 - 13848298*g**2 + 19*g. -17940*g**2 - 30651024*g Differentiate 37056487*g - 25459601. 37056487 What is the second derivative of -38966274*p**2 + 42492*p - 193 wrt p? -77932548 Find the first derivative of -50808*s**2 - s - 4815384. -101616*s - 1 What is the first derivative of 374321665*y**4 - 317502642? 1497286660*y**3 What is the third derivative of -o*s**3 - o*s**2 + 3*o - 201991789*s**4 - 38312*s**2 + 11 wrt s? -6*o - 4847802936*s Find the first derivative of 2*t**3 - 12443361*t**2*u**3 + 6455781*u**3 wrt t. 6*t**2 - 24886722*t*u**3 What is the first derivative of -564649*g**4 + 10949896 wrt g? -2258596*g**3 Find the third derivative of 2*k**3*l**3*o**2 - 131697*k**3*l**3*o - 2*k**2 - 27138028*k*l**3 - 2*o**2 wrt k. 12*l**3*o**2 - 790182*l**3*o What is the third derivative of 5836332*a**2*o**3 - a**2*o**2 + 714*a - 2442*o**2 wrt o? 35017992*a**2 What is the third derivative of 324*g**4*z - 9995*g**3*z - 351529*g**2*z + 3*g**2 - g*z - z - 2 wrt g? 7776*g*z - 59970*z Find the first derivative of 370857894*j**4 + 144966117. 1483431576*j**3 Find the third derivative of 14482671*o**3 - 3784779*o**2 + 3*o - 2 wrt o. 86896026 Differentiate 6444871*z + 5551732. 6444871 Find the third derivative of -243*g**3*s**3 - 64*g**3*s**2 - 8*g**3 + 2*g**2*s + 491554*g*s**3 + 3*g*s + 54*s**2 + 29 wrt s. -1458*g**3 + 2949324*g Find the first derivative of 523*a**2*d - 43388*a**2 - 4849*a*d + 3*d - 31 wrt d. 523*a**2 - 4849*a + 3 Find the first derivative of 155984*i**3 - 650*i**2 - 19780474 wrt i. 467952*i**2 - 1300*i Differentiate -190*g**3*n**2 + 55483*g**2*n + 42*n**2 - 1065*n - 106 wrt g. -570*g**2*n**2 + 110966*g*n What is the third derivative of 9415463*o**3 - 2*o**2 + 1456*o - 78 wrt o? 56492778 What is the first derivative of -1143812*b**3 - 61*b - 421054527 wrt b? -3431436*b**2 - 61 What is the second derivative of 7617265*k**2*r**3 - 5*k + 65935*r**3 wrt k? 15234530*r**3 Find the second derivative of -414*g**3*i**2 + 3*g**3*i + 4*g**3 + 41245*g**2*i**2 - 375*g**2*i + 260*g*i - 4*i wrt i. -828*g**3 + 82490*g**2 Find the third derivative of 751909272*t**3 + 280880366*t**2 wrt t. 4511455632 Differentiate 200079990*l**2 - 610611646. 400159980*l Differentiate -5*a**4 + 267672*a**2 - 8636617 with respect to a. -20*a**3 + 535344*a Find the first derivative of -423029698*n**2 + 360285850 wrt n. -846059396*n Find the second derivative of -17543488*i**2*v**2 + 39820*i*v + 94*v**2 wrt i. -35086976*v**2 Find the third derivative of -8963499*m**4 - 2897251*m**2. -215123976*m Differentiate 21*o**4 - 39*o**3 - 12380*o**2 - 4133298 with respect to o. 84*o**3 - 117*o**2 - 24760*o Find the second derivative of 11*k**4 + 5570648*k**3 + 770*k + 37375. 132*k**2 + 33423888*k Find the second derivative of -803949185*r**3 + 416926334*r. -4823695110*r What is the second derivative of -120341311*w**5 - 1093*w - 851? -2406826220*w**3 What is the third derivative of -930*f**3*p*s - 76*f**3*s - 3*f**3 + 33*f**2*p*s - 4*f**2*p + f**2 - f*p*s + 2*f*s - 58*s + 7 wrt f? -5580*p*s - 456*s - 18 Differentiate -t**4 + 10598823*t**3 - 260565752. -4*t**3 + 31796469*t**2 What is the second derivative of 15334876*o**5 + 4322092*o - 2 wrt o? 306697520*o**3 Find the second derivative of -1109*v**5 - 989*v**4 + 3*v**2 - 8*v - 503934. -22180*v**3 - 11868*v**2 + 6 Differentiate -31*d**3 + 8*d**2 - 287249*d - 840252520 wrt d. -93*d**2 + 16*d - 287249 What is the third derivative of 5721*j**2*p**3 + 13179*j**2*p**2 + 1212*p**3 - 216*p**2 wrt p? 34326*j**2 + 7272 What is the third derivative of -466576048*j**3 - j**2 + 5981251*j + 7? -2799456288 What is the third derivative of -117*n**4*r - n**4 - 59*n**3*r + 2*n**3 + n**2*r - 18*n**2 - 2*n*r - 12*n + 13*r - 14 wrt n? -2808*n*r - 24*n - 354*r + 12 What is the first derivative of -72142762*j**4 + 13384140 wrt j? -288571048*j**3 Find the third derivative of 117*h**6 + 15*h**4 - 742*h**3 - 49749*h**2 - 7*h - 6. 14040*h**3 + 360*h - 4452 Find the third derivative of -18420084*g**3 - g**2 + 3791*g - 578. -110520504 What is the second derivative of 50260946*a**2 - 46653095*a wrt a? 100521892 What is the third derivative of 2795759*m**4 + 9537843*m**2 wrt m? 67098216*m What is the second derivative of -52574883*f**5 - 4023398*f - 2? -1051497660*f**3 What is the first derivative of -7*k**2*o - 57070*k*o - 6*k - 238909132*o wrt k? -14*k*o - 57070*o - 6 Find the second derivative of 569174*p*t**3 + 168*p*t - p - 4480*t wrt t. 3415044*p*t What is the derivative of -d**2*s - 30920*d**2 + 10937*d*s + 141*s**3 + 17 wrt s? -d**2 + 10937*d + 423*s**2 What is the derivative of 909347117*c**2*l**2 + 2*c**2 + 4*c - 7660289 wrt l? 1818694234*c**2*l Find the first derivative of -103*c*f**2 + c*f - 224*c - f**2 - 2*f - 5318 wrt f. -206*c*f + c - 2*f - 2 What is the first derivative of c*q + 47036135*c - 3*q - 2081706 wrt c? q + 47036135 Find the third derivative of -282*c**2*p**4 + 39*c**2*p + 42972*c*p**2 - 2099*p**4 wrt p. -6768*c**2*p - 50376*p What is the second derivative of -372393*d**3 - 285722*d - 26 wrt d? -2234358*d What is the second derivative of 92*h**2*q**4 + h**2*q + 33*h**2 + 2*h*q + 29*h + 150535*q**4 - 51*q + 2 wrt q? 1104*h**2*q**2 + 1806420*q**2 Find the second derivative of 113650*g**4 - 12*g**3 - 6771216*g. 1363800*g**2 - 72*g Find the first derivative of 5*r**3*w + 2*r**3 + 5795*r**2*w - 12*r**2 + 4*r*w - 73*r + 6*w - 284 wrt w. 5*r**3 + 5795*r**2 + 4*r + 6 What is the derivative of -u**3 + 228845*u**2 + 293*u + 242431920? -3*u**2 + 457690*u + 293 Find the first derivative of 825063*r**2 + 2581984 wrt r. 1650126*r Find the third derivative of 1120*a*d**3*s + 1131*a*d**3 + 49*a*d**2*s - 3*a*d**2 - 52*a*d*s + a*s - d**3*s - 4*d**2*s - 12*d**2 wrt d. 6720*a*s + 6786*a - 6*s Find the second derivative of -3*r**4*u - 64872659*r**2*u**2 - 219*r*u**2 - 31*r*u - r - 387*u**2 wrt r. -36*r**2*u - 129745318*u**2 Differentiate 611660*k**2*l**3 - 8*k**2*l + 78*l**3 - 90144*l with respect to k. 1223320*k*l**3 - 16*k*l What is the first derivative of 747706094*v**2 - 289026912? 1495412188*v What is the second derivative of 121*j**3*x**4 - 80*j**3*x - 474965*j**2*x + 414496*x**5 wrt x? 1452*j**3*x**2 + 8289920*x**3 Differentiate -52516504*j**3 + 87048807. -157549512*j**2 What is the first derivative of 3367952*b**3*g*x**2 - b*g*x + 9*g*x**2 - 10*g*x - 8*g - x**2 + 670*x - 5 wrt b? 10103856*b**2*g*x**2 - g*x Find the second derivative of d*r**2*v**2 + 34*d*r**2 - 22*d*r*v + 2*d*v**2 - 2*d + 40*r**2*v**2 + 38*r**2 - 25*r*v**2 - 2*r - 67*v wrt r. 2*d*v**2 + 68*d + 80*v**2 + 76 What is the derivative of -534270274*z - 31727540? -534270274 What is the third derivative of -334*o*v**4 - 27067*o*v**3 - 2*o*v**2 - 3*o + 2*v**4 + 7*v**2 - 326400*v wrt v? -8016*o*v - 162402*o + 48*v Find the second derivative of 1154819*o**2 + 7000735*o wrt o. 2309638 What is the third derivative of 44208*o**5 - 3*o**4 + o**3 - 8*o**2 - 849296*o + 2? 2652480*o**2 - 72*o + 6 Find the first derivative of -138405855*o + 225266154. -138405855 Find the third derivative of -4*n**4*z + 508*n**4 - 6*n**3*z + 3*n**3 - 5*n**2*z + 201228*n*z wrt n. -96*n*z + 12192*n - 36*z + 18 What is the derivative of 13*c**3 + c**2 + 176878*c + 33625637? 39*c**2 + 2*c + 176878 Find the first derivative of -f**3 - 76110248*f + 186913038. -3*f**2 - 76110248 Differentiate -88726450*r**2 + 32044302 with respect to r. -177452900*r What is the derivative of 7*g*l*z**2 - 33*g*l + 96*g*z**2 - g*z + 685*l*z + 7273*z**2 wrt g? 7*l*z**2 - 33*l + 96*z**2 - z What is the first derivative of -2959*y**2 + 15758*y + 198382816? -5918*y + 15758 What is the second derivative of -133
{ "pile_set_name": "DM Mathematics" }
, d? 3 Suppose 16 = m + 3. Let k(l) = 1333*l - 1321*l + 21 - 5 - l**2. Let x be k(m). What is the closest to -1 in x, 4/5, -2/11? -2/11 Let n = 613 + -611. Which is the nearest to n? (a) -5 (b) -0.3 (c) 0 (d) -0.2 c Let p = 0.012 - -6.888. Let j = p - 7. What is the closest to -0.1 in -1, -2, j? j Let a = -2.48 - 0.12. Let x = a + 0.6. What is the nearest to 3 in x, 0.3, 2? 2 Let s = -991.3 + 991. What is the closest to 2/7 in 1/7, 19, s? 1/7 Let t = -0.22 + 0.02. Let j = 12.15 + -0.15. Let n = 7 - j. Which is the nearest to t? (a) 1 (b) -2 (c) n a Let p(j) = -j + 5. Let i be p(7). Let q = -112/3 + 110/3. What is the closest to q in 1/3, 6, i? 1/3 Let d be -4 + (-1016)/(-266) + 2/7. Which is the nearest to 3? (a) -6/5 (b) 1/2 (c) d b Let h = 13.8 + -13.4. Which is the closest to -0.5? (a) -0.3 (b) 1/11 (c) h a Let u = -0.11 + 5.11. Suppose 0 = 52*q - 45*q + 14. Let s = -5.02 - -0.02. What is the closest to q in -4, u, s? -4 Suppose -3*i - 5*s + 42 = 224, 2*s + 224 = -4*i. Let y = -217/4 - i. What is the closest to y in -2, -1/9, -0.2? -0.2 Let n = 0 - -0.09. Let x = -1.39 + 1.5. Let m = x + n. Which is the nearest to 2/7? (a) m (b) -2/7 (c) 2 a Let f = -15 - -9. Let n = f + 6.04. Let t = n - -3.96. Which is the nearest to 1? (a) t (b) 0.5 (c) 1 c Let n be (-1)/(-2)*(-13 + 11). Which is the closest to -0.04? (a) 1/5 (b) -5 (c) n a Let f be ((-340)/140 - 2*-1)/(-3). What is the nearest to 0.1 in f, -0.3, -1? f Let t = -2/17 + 21/34. Let d = 2.5 + -0.5. Let p = 268.8 - 269. Which is the nearest to t? (a) 0.1 (b) d (c) p a Let z = -3 + -3. Let d be (-6)/(-9)*z/14. Let m(o) = o**2 + 2. Let n be m(-1). Which is the nearest to 1? (a) n (b) d (c) -0.2 c Let c = -1.152 - -0.152. What is the nearest to -2/11 in 0, -2/5, c? 0 Let m = -864 + 863. Which is the nearest to m? (a) -0.16 (b) 5 (c) -0.1 a Let u = -598 + 4184/7. Let m = 1 - 0.6. Which is the nearest to u? (a) 2 (b) -5 (c) m c Let w be 543/45 - (-4)/(-10). Let i = -11 + w. What is the closest to i in -0.1, -5, 0? 0 Let y be (-2)/(1 + (-63)/78). Let l = y + 317/30. What is the nearest to -8 in 0.2, -1/5, l? -1/5 Let a = 754 - 750. What is the nearest to -2.4 in a, 3, -0.4? -0.4 Let j = -1669 - -1668.8. Let l be (3/6)/((-3)/4). What is the nearest to j in l, 1/7, 3? 1/7 Let i = -105 + 104.8. Which is the closest to 14.8? (a) -2 (b) 1/7 (c) i (d) 3 d Let r = 2271 - 2275. Let x = -10 + 7. What is the closest to -0.6 in r, 2/19, x? 2/19 Let p = -980 + 979.8. Which is the nearest to 1? (a) -4/3 (b) 0 (c) p (d) -4 b Let v(u) = 4*u**2 - 31*u - 12. Let p(t) = t**2 + 1. Let n(f) = 2*p(f) - v(f). Let m be n(16). What is the nearest to 2 in m, -0.2, -0.04? -0.04 Let w = 5 + -2. Suppose 4*o = 3*o + 4. Let j = -174.85 + 169.85. What is the nearest to o in -4, j, w? w Let n be (5 + -1)*(-6)/(-8). Let k be -1*(n - 72/20). Which is the closest to -0.1? (a) -0.4 (b) -2 (c) k a Let s = 1/441 + 125/441. Suppose 0*q = 5*q - 10. Which is the nearest to -6? (a) 0.5 (b) q (c) s c Let p = 1046 - 1038. What is the nearest to p in 3, 2/3, 2, 5? 5 Suppose -4*p + 0*n - 2*n = 0, 0 = -3*n + 6. Let o = 3822 + -3824. Let s = -6 - -2. What is the nearest to p in -1/4, s, o? -1/4 Let p be -1*((-15)/20 - -1). Suppose 15*g - 14*g = 6. Let o be ((-2)/(-6))/((-9)/g). Which is the closest to 0.2? (a) p (b) 2 (c) o c Let v = 1057 + -1057. What is the closest to -13 in -3, v, -2/5? -3 Let j = 118.522 - -0.478. Which is the closest to 2? (a) -0.1 (b) j (c) -1 a Suppose 0 = c - 4*w - 16, -3 = -5*c + w + 1. Let i = -22 + 22.4. Let h(o) = 2*o + 3. Let l be h(-4). What is the nearest to c in i, l, 0.5? i Let a = -406 - -407. What is the nearest to -0.03 in 2, a, 2/3? 2/3 Let j = -197 + 199. Which is the closest to 3/11? (a) -2/5 (b) j (c) 1 a Let r = -702 - -701.9. Suppose 0 = -4*s - 0*s - 4*q, -5*s - 40 = -5*q. What is the closest to r in s, 2/7, -3/8? -3/8 Let g = -15 + 18. Let j = -33 + 131/4. Which is the nearest to g? (a) j (b) 2/7 (c) 0 b Let w = -4627 + 4628. Let k = 18 - 18.07. Which is the nearest to 1/2? (a) w (b) -1/2 (c) k a Let h be -1*15/10 - (-44)/24. Let m = 0.2 + -0.2. Let t = -4 + 6. What is the closest to 2 in t, h, m? t Let q = -545 - -545.2. Let u(j) = -j + 1. Let k be u(0). Suppose -t = 3*y - 5, 0 = -t - y - 0 + k. Which is the closest to t? (a) 1/4 (b) q (c) 0.1 c Suppose 87 = -5*u - 93. Let x = u + 35. Which is the nearest to x? (a) -14 (b) -0.1 (c) -2 b Let z = 3.92 - -0.08. Let k be 6*(-3)/(2 + 58). Let x = k + 4/5. What is the closest to -0.1 in x, -1/4, z? -1/4 Let v = 0.166 + 6.734. Let u = 7.9 - v. Let j = -195/4 - -49. Which is the nearest to -2/5? (a) j (b) u (c) -2/13 c Let z be (-5)/63*(-5 + 2). Let k = -15/14 + z. Let s be 8/(-3) - 10/36*-6. Which is the nearest to s? (a) 3 (b) k (c) -0.1 b Let j = -1022 + 1022.1. Let g = -0.3 + 0.2. Let s = g - 0.9. What is the closest to j in s, -0.3, 2/11? 2/11 Let m = 2374 + -2378. Let j = -5 + 5.02. What is the closest to 1/2 in j, m, -3/7? j Suppose -91*h + 78 = -104. Which is the nearest to -2? (a) 14 (b) h (c) 2/9 c Let r = -41 + 87.4. Let g = r + -46. Which is the nearest to 10? (a) g (b) -2 (c) 3/4 c Let i(b) be the first derivative of b**2/2 + 2*b - 3. Suppose 4 = 3*w + 22. Let j be i(w). What is the closest to 1 in 5/4, j, -5? 5/4 Let h = 908.3 + -907. Which is the nearest to 3? (a) -4/9 (b) h (c) 4 c Let o be 14/(-60) - 8/(-20). Let a be (-2)/8 - (-156)/48. What is the nearest to -0.1 in o, 4, a? o Let z be (0 + (-8)/130)/((-18)/45). Let m = 0.9 + 0.1. What is the closest to z in m, 4, -2/3? -2/3 Let n = -365/4 - -91. What is the closest to n in -0.4, 4, 0? -0.4 Let r = 1 + 4. Let g = 0 - 0.1. Let t = 2968 - 2972. What is the nearest to g in 4, t, r? t Let r = 2.03 + -0.03. Let j(b) = 2*b + 33. Let d be j(-15). Let g be 150/42 - d/(-7). What is the closest to -0.1 in 4/3, g, r? 4/3 Let i = 8/1291 - 1347/9037. Let n = -659/205 - -17/41. What is the nearest to n in i, 3, -2/11? -2/11 Let w(q) = q**3 + 3*q**2 + 3*q + 2. Let b be w(-2). Let i = -0.331 + 0.031. What is the nearest to b in i, -3, 2? i Let t(v) = 3*v + 10. Let p be t(-3). What is the closest to 8/3 in 0.4, p, -0.5? p Let s = 0.025 - -0.185. Let h = 0.71 - s. What is the closest to 0.1 in -1/7, 2/13, h? 2/13 Let z = -34 - -24. Let d be ((-3)/33 + -1)/(z/5). Which is the closest to 1? (a) 0.3 (b) 3 (c) d c Let g be ((-90)/720)/(2/4). Let d = 0 + -0.2. Which is the closest to g? (a) 0.4 (b) d (c) 5 b Let n = -33.8 - -33.86. Which is the nearest to n? (a) 1 (b) -2 (c) -0.5 (d) 2/7 d Let n = -59 - -59. Let k = -2.5 + 3. What is the nearest to n in 3, 5, k? k Let w be -23 + 29 - (-6)/(-1). What is the closest to -1 in -0.1, -3, w? -0.1 Let n be -8 + 0 + (-3255)/(-403). Which is the closest to -1? (a) n (b) -2/9 (c) -0.1 b Suppose 3*m + 5 + 7 = 0, 42 = 2*r - 2*m. Suppose 0 = 5*o - r - 13. Which is the closest to -2/3? (a) -4 (b) o (c) -0.1 c Let r = -129.1 + 129. What is the nearest to 0 in -0.22, r, -4? r Suppose -148 + 143 = 5*o. What is the nearest to 2/7 in 0, 2/7, o, -2? 2/7 Let r = 0.1278 - -0.0722. Which is the closest to 2/9? (a) -7 (b) r (c) 0 b Suppose -3*r = -3*j, 7*j - 3*j = 2*r + 4. Suppose -24 = -j*u + 5*u. Let f = 10 + u. Which is the closest to f? (a) -5 (b) 0.2 (c) 3 c Let u = -43 + 101/2. Let d = 38 - 38.1. Which is the nearest to u? (a) d (b) 5 (c) 1 b Let x = -10.79 + 8.79. What is the closest to -0.3 in -1/4, x, 3.2? -1/4 Let c = 10.7 - 14.7. Let r = -4 - -4. What is the closest to r in 5, c, 0.2? 0.2 Let l = -0.1869 - -0.0869. What is the nearest to l in 3.4, 1, 2/9, -4? 2/9 Let i be ((-85)/8)/(3 + 32/(-10)). Let f = i - 53. Which is the nearest to 0.1? (a) f (b) 0 (c) -0.3 a Let h = -39.4 - -41.4. Which is the nearest to 4? (a) h (b) 0.04 (c) -5 a Let w = 0.5 + -0.6. Let g = 5.4 - 2.4. Which is the closest to w? (a) 2 (b) g (c) -2/5 c Let j = 0.15 - -2.57. Let f = -0.28 - j. Which is the nearest to f? (a) 0.3 (b) 4 (c) -1/2 c Let q = 3 + 1. Let c = 23 + -26. What is the closest to -0.1 in q, 2, c? 2 Let s = -32 - -34. Let u be (-6)/s - -3 - 4. Which is the nearest to 0? (a) 0.1 (b) -3/2 (c) u a Suppose 0*j + 6 = -2*j. Let z be (-3)/(j - -2) - 2. Let m = 563/5
{ "pile_set_name": "DM Mathematics" }
Let d = -49 + 303. Which is smaller: 253 or d? 253 Let n be 1*(-2 + 2 + -2). Suppose -c - 4*p + 33 = -0*c, 0 = c - 5*p - 24. Let i = -36 + c. Is n equal to i? False Let o be 1 + 8/(-14) + (-137401)/77. Let a = o - -69566/39. Which is greater: 1 or a? 1 Let i = -1057/4 - -264. Let x = -3.04 + 3. Which is bigger: x or i? x Let z = -411 + 409. Do -36/25 and z have the same value? False Let n = 6.4 - 3.5. Let q = 0.6 - 3.6. Let d = q + n. Are 4 and d nonequal? True Let u = -14.758 - 0.242. Which is smaller: 0.023 or u? u Let m = -137 - -131.9. Let v = -1 - -6. Let a = m + v. Which is smaller: a or 2/3? a Let d = 5 + 5. Let q be ((-32)/d)/((-6)/(-30)). Let l be (-2)/(-3)*(-2)/q. Are -1 and l unequal? True Let b(m) = 5*m + 97. Let r be b(11). Is 151 <= r? True Let d = 201 - 203. Is 3/166 smaller than d? False Let p = -4 - -7. Suppose y + p*y - 4*i = 0, y - 3*i = 10. Let g = y + 7. Which is greater: -1 or g? g Let m(v) = -v**3 - 9*v**2 - 16*v - 53. Let q be m(-10). Which is smaller: q or 208? q Let x be 38/95*(-10)/4. Let u be (3 - 2)*30*(x - 0). Are u and -30 non-equal? False Let y = -38 + 43. Let k be (-3*y/15)/1. Is -2/15 greater than k? True Let z = -21.3 + -3.3. Let d = -3.4 + z. Let r = d + 39. Which is smaller: 0.1 or r? 0.1 Suppose 0 = n - 2*b + 32, 0 = 2*n - 5*b + 3*b + 62. Let m be (36/n)/(6/(-140)). Is m != 30? True Let l = 752 - 839. Which is bigger: l or -4? -4 Let u be ((-26)/(-65))/((-3)/(-1065)). Which is smaller: u or 144? u Let i = -0.329 - -8.329. Which is smaller: i or 1? 1 Let y = -3 + 4. Let w be y*(-12)/(-4) - 3. Let q be 1*w/((-4)/1). Which is greater: 5/6 or q? 5/6 Let d be (5/375)/(1/2). Let u = d + -47/825. Which is bigger: u or -1? u Let t = -4 + 6. Let v(p) = -p**3 - 5*p**2 - 4*p - 1. Let q be v(-3). Let k be -1*(-1 - (q - -4)). Is k at least as big as t? False Let q(v) = 3311*v**3 + v**2 - 4*v. Let f be q(2). Let b be f/15*(-2)/8. Let u = -443 - b. Is u bigger than -1? False Suppose 2*q + 3*m = -m - 22, -q = -5*m - 24. Which is smaller: q or 7/57? q Let d = 0 - 0. Let k be 1/((-2)/46) - 3. Let s be (-30)/20 - k/16. Does s = d? False Let f be 775 + (-22)/(-12) + 3/18. Let v = -59827/77 + f. Which is smaller: v or 1? v Let r = -484 + 488. Suppose 5*v = 10, -4*v + 7*v = 2*t - 8. Is r smaller than t? True Let l = 32.841 + -32.8. Which is bigger: l or -0.02? l Let k = -0.07 + -6.93. Let o = k + 5.5. Let g = o + 0.5. Is g < 1? True Let p be (5/(3270/9))/((-9)/12). Let w = -208/545 + p. Which is smaller: w or -8? -8 Let u = 618.02 - 610. Let s = u + -8. Let f = s - 1.02. Does f = -0.2? False Let z = 289 - 286.6. Which is greater: 1 or z? z Let m(l) = l**2 + 19*l. Let g = -32 - -13. Let h be m(g). Is 1/54 smaller than h? False Let q = 8907987976/2385 - 3735006. Let m = q - -1/265. Suppose 0 = d - 2*p - 7, -d - 2*p + 0*p - 9 = 0. Is d at least m? False Let i be ((24/15)/4)/(1/(-165)). Suppose 0 = -3*r + j + 15, 3*r + 5*j - 1 = -r. Let q be (r - 7) + i/(-21). Which is greater: q or 0? q Suppose 7*r + 16*r - 7*r = 0. Is r at least as big as 5/521? False Let d be (-42)/238*-17 - 1584/530. Is 0 >= d? False Let r(a) = a**2 - 1. Let x be r(2). Let b be 2*x/2*(-7)/(-7). Which is smaller: b or -3/2? -3/2 Let k be (-1 - (-3)/1) + (-120)/61. Is 0.4 at most k? False Let h = -252 + 173. Let b = -8.1 + 8. Which is bigger: h or b? b Let r = -252 - -251. Let v = -0.1 + -6.9. Which is greater: r or v? r Let s = 62 + -62.5. Let h = 4 - 3.83. Let w = h + -0.07. Which is smaller: s or w? s Let o be (0 - -1)*0/3. Let s be (-148)/426 + (-2)/(-6). Let b = -66/355 + s. Which is smaller: b or o? b Let b = 2 - 3. Suppose 44 = 6*a + 8. Suppose 0 = -3*p - a, 70 - 191 = -5*t - 2*p. Which is smaller: b or t? b Let t be (-1*(8/(-2) + 5))/2. Is -2 < t? True Let n = 4055/8 + -506. Suppose 5*d + w = 6, -w = -5*d + 4*w + 30. Is d at most n? False Let h be (3 + 32/(-12))/((-1)/(-9)). Suppose 4*n - 94 = 2*m, -4*m + h*n - 96 = -2*m. Which is smaller: -52 or m? -52 Suppose k = -3*a - 5, -a + 4*k = 2 + 4. Let h be 160/24 - a/(-3). Let q be -1 - -1 - (h - -2). Is q smaller than -8? False Let k = 355/7 + -51. Let y = k + 1/28. Which is bigger: y or -18? y Let d be (1/(-12))/(8/(-50)). Let o = 3/16 - d. Do 2.3 and o have different values? True Let j = 4255/12 - 355. Suppose -5*b - 3*w - 2 + 8 = 0, -2 = -6*b - w. Which is greater: b or j? b Let j be (-7 - (-574)/21) + 2. Is j at least as big as 22? True Suppose 0 = 2*n + 11 + 5. Which is greater: -20/3 or n? -20/3 Let r(a) = 7*a**2 - 2*a - 2. Let t be r(-2). Let l be ((-8)/(-150))/((-36)/t). Let b(j) = -j**3 - 2*j**2 + 3*j - 1. Let w be b(-3). Which is smaller: l or w? w Let z(a) = -3*a - 3. Let n be z(-1). Is n smaller than 19/24? True Let p be ((-28)/16 + 3)*(-2 + 338). Which is greater: 423 or p? 423 Let k = 39 - 32. Let w = k - 2. Let h = -4 - -3.9. Which is smaller: h or w? h Let s = 2761/8 + -344. Let d be 6/(-24)*2*-2. Which is bigger: s or d? s Let i be 9/(-15) + (24/10)/(-6). Is i != 3/142? True Let w = 14 - 100/7. Is 2/261 smaller than w? False Let a = -2.31 + -0.39. Let k be (-4 - -13) + 8/(-2). Suppose -4*x - k*t = -x + 23, -2*x + 4*t + 14 = 0. Are a and x unequal? True Let x = 0.156 - -0.844. Which is bigger: -176 or x? x Let v be (154/42)/((-4)/(71 - -1)). Which is smaller: v or -6? v Let t = -155 + 164. Which is smaller: 47/5 or t? t Let l be (-42)/4*(-624)/637. Is 11 less than l? False Let s be 1 - -1*(3 - -1). Suppose 0 = s*p + t - 8, -3*p + 1 - 5 = 5*t. Let g(o) = o**2 + 6*o. Let c be g(-6). Is c < p? True Suppose 0 = -4*q - 12, 0 = -t + 5*q + 17 - 1. Is 341 at most as big as t? False Let s(g) = -8*g + 4. Let u(n) = 7*n - 4. Let v(x) = -4*s(x) - 5*u(x). Let d be v(6). Let p be (-29)/2 - 3/(-6). Are p and d equal? True Let g be -1 + 2 - 4/2. Let i be g*1*2/22. Let y = 5133 - 5132. Which is greater: i or y? y Let k be (-12)/(-2) - 8*6/(-48). Suppose -2*h - h = -2*r + 19, 0 = -3*r - 5*h. Suppose -48 = -r*y + 5*i + 2, -5*i = y + 8. Are k and y non-equal? False Let w = 1161/22 - 17497/66. Is -213 greater than or equal to w? False Let i = 38 - 66. Let s = -29 - i. Are -2/69 and s nonequal? True Let b = -609 + 3043/5. Which is smaller: b or -1347? -1347 Let m(q) = -q - 15. Let n be m(-9). Let z be 3/37*4/n. Suppose -20 = 3*t - 4*x, 4*t - 3*x + 17 - 2 = 0. Is t at most z? False Suppose -5*b = 5*l + 90, l = 4*l - b + 58. Let f(i) = i**2 + 11*i + 9. Suppose 12 = 3*q - 3, -3*q + 23 = -2*a. Let p be f(a). Is l at most p? True Let h = 14.6 - 17.6. Let w(a) = a - a - 2*a + 4 + 3*a. Let g be w(-7). Is g smaller than h? False Let z(w) = w**3 + 22*w**2 - 50*w - 45. Let q be z(-24). Which is smaller: -135 or q? -135 Let w = -153 + 345/2. Let l be 1/(-1*1/(-19)). Is w bigger than l? True Suppose 7*w + 2*w - 45 = 0. Suppose b + 4*m - 4 = 0, -w*b + 0*m = 5*m - 35. Let d be (2 - 0)/4*12. Which is bigger: d or b? b Let s = -22 - 2. Let j = s + 20. Let a = j + 5. Is a greater than or equal to 1/17? True Suppose -j = 70 - 74. Let h be 4384/(-5680) + j/5. Is 2/5 >= h? True Let a(f) = f**2 - 6*f + 7. Let p be a(-8). Let w = -71 + p. Suppose 3*r = -3*r - w. Which is smaller: r or -6? r Let a(c) = -c**3 + 28*c**2 - 4*c - 32. Let q be a(28). Do -146 and q have the same value? False Suppose -38*f = 108 + 44. Suppose l = 3*l. Suppose -t - 2*o = 13, 5*t - 2*t + 5*o + 35 = l. Which is greater: t or f? f Let o = -46.996 - -47. Let d = 6.996 + o. Which is greater: d or 0.1? d Let s(f) = f**3 - 8*f**2 + 31. Let u be s(5). Is -44 equal to u? True Let k be ((-3)/10)/(4 - 846/210). Is 12 less than k? False Let w be (63 + -4 - 4) + -9. Which is smaller: w or 2? 2 Let a = 5 + -11. Let k be (a/7)/((-20)/28). Let t = k - 29/20. Which is greater: 1 or t? 1 Suppose 9*o - 775 = 1448. Is 247 > o? False Let v be (-1)/2 - (-15)/(-6). Let t be 1*(v/(-3) + -2). Let x = 17/10 + -139/70. Which is smaller: t or x? t Let q(m) = m**3 - 3*m**2 + 1. Let l be q(1). Let r be l/(-3) - (-74)/(-30). Let o = -7/3 - r. Which is greater: o or -1? o Let i(n) = -n**3 + 5*n**2 - 4*n. Let v be i(3). Let t = v + -6. Suppose 4*u + 2*z + 24 = t, -2 = 3*z - 8. Is -7 bigger than u? False Suppose 10 = -3*a - 2*a. Let m be a - 3/(-3 + 2). Let c be m/6*36/(-40). Which is bigger: c or -1? c Let o = -0.3 - -5.3. Let q = o + -9. Let z = 6 + -6. Are q and z equal? False Let a be 2
{ "pile_set_name": "DM Mathematics" }
*v**4 - 6 wrt v. 312*v**3 What is the second derivative of 1342*h**3 - 119*h wrt h? 8052*h Find the third derivative of -3*d**5 - 121*d**3 - 46*d**2 wrt d. -180*d**2 - 726 What is the third derivative of -19*d**6 + 3*d**4 - 91*d**2 wrt d? -2280*d**3 + 72*d Find the second derivative of -2*g**3*u**3 - 3*g**3 + g**2*u + 3*g*u - 783*u**5 wrt u. -12*g**3*u - 15660*u**3 What is the derivative of -h**4 + 2327*h**3 + 2*h - 2506 wrt h? -4*h**3 + 6981*h**2 + 2 What is the second derivative of 2*t**5 + 26*t**2*v**2 - 4*t**2*v + t*v**2 + t + 378*v**2 wrt t? 40*t**3 + 52*v**2 - 8*v Find the second derivative of -4*g**3*p**2 + g**3*p*v**2 - 3*g**3*v - 18*g**2*v**2 - 127*g*p**2*v**3 + g*p**2*v + 16*p*v**3 wrt p. -8*g**3 - 254*g*v**3 + 2*g*v Find the second derivative of -8*b*o**2 - 12*b*o - 11*b + o**4 - 16*o**3 + 2*o - 2 wrt o. -16*b + 12*o**2 - 96*o Find the first derivative of 102*j*u**2 - 26*j*u + 1765*j + u**2 - u + 3 wrt u. 204*j*u - 26*j + 2*u - 1 Differentiate -l**2*u - 54*l**2 + 3*l*u**2 - 2*u**2 - 2 wrt u. -l**2 + 6*l*u - 4*u Find the first derivative of -34*f*s**2 - 2*f*s + 9*f - 2*s**2 - 4 wrt s. -68*f*s - 2*f - 4*s What is the first derivative of -x**4 - 2*x**2 - 57*x - 4512? -4*x**3 - 4*x - 57 Find the first derivative of -3960*b - 561. -3960 What is the third derivative of -2441*s*v**3 + 2*s*v**2 + 75*s*v wrt v? -14646*s Differentiate 381*r**2 - 1039 with respect to r. 762*r What is the third derivative of 555*w**5 - 455*w**2 + 2*w? 33300*w**2 What is the third derivative of 3296*t**3*w**3*z + 16*t**3*w - t*w**3*z**2 + 4*w**2*z**2 - 5*w**2*z - 2*w*z**2 - 1 wrt w? 19776*t**3*z - 6*t*z**2 What is the second derivative of 261*m**2 - 29*m? 522 What is the second derivative of -83*s**4 - 4*s**3 - 1689*s + 1 wrt s? -996*s**2 - 24*s Differentiate -9*n*u**2 - n + 91*u**4 - 608 wrt u. -18*n*u + 364*u**3 Find the first derivative of 53*f*t**2*x + 146*f*t**2 - 2*t**2*x wrt x. 53*f*t**2 - 2*t**2 Find the first derivative of -25*h**2*y - 20*h**2 - h*y + 9 wrt y. -25*h**2 - h What is the third derivative of -3*p**4 + 163*p**3 - 202*p**2 wrt p? -72*p + 978 Find the third derivative of 272*v**3 - 1481*v**2. 1632 What is the third derivative of -o**6 - 54*o**3 - 282*o**2 wrt o? -120*o**3 - 324 Differentiate 182*m**4*s + 2*m**2*s + 153*s - 26 wrt m. 728*m**3*s + 4*m*s Find the first derivative of k*w**3 + k + 56*w**4 - 189 wrt w. 3*k*w**2 + 224*w**3 What is the third derivative of -4*n**4 - 32*n**3 + 25*n**2 - 4? -96*n - 192 Find the first derivative of 515*r + 2340 wrt r. 515 Differentiate 78*v**2 + 989 with respect to v. 156*v Find the third derivative of 5459*u**4 + u**3 + u**2 - 94*u - 2 wrt u. 131016*u + 6 What is the second derivative of -237*r**5*w + r**3*w + r*w - 21*r + 4*w wrt r? -4740*r**3*w + 6*r*w Find the third derivative of -12*i**3*l*p**3 + 4*i**3*p**2 - 4*i**2*p**3 - 2*i*l*p**2 + 11*i*p**2 - i - 10*l*p**3 wrt p. -72*i**3*l - 24*i**2 - 60*l Differentiate 1378*m**3*r + 11689*m**3 + 2*m**2*r with respect to r. 1378*m**3 + 2*m**2 What is the second derivative of -3*t**2*u**3 - 1931*t**2*u - 104*u**3 + 2*u**2 wrt u? -18*t**2*u - 624*u + 4 Differentiate -748*h**2*s - 24895*h**2 - h*s + 6*s with respect to s. -748*h**2 - h + 6 What is the second derivative of 154*b*r*v**2 - 11*b*r + 2*b - r*v**2 + 6*r*v + r - 2*v wrt v? 308*b*r - 2*r What is the second derivative of -9077*z**3 - 12516*z? -54462*z What is the second derivative of -384*g**2*v**3 - 361*g*v**2 + 2*g*v + v**3 wrt g? -768*v**3 What is the first derivative of 3*j*r**3 + 15*j*r*y - j*y + 193*r**3*y + 11*y wrt j? 3*r**3 + 15*r*y - y Differentiate -8012*t**3 - 5008 with respect to t. -24036*t**2 Differentiate -553*c**2 - 2*c - 437 wrt c. -1106*c - 2 Find the third derivative of -22*l**5 + 4*l**3 - 17*l**2 + 2*l wrt l. -1320*l**2 + 24 What is the third derivative of 113*c**2*m**3 + 2*c**2*p**3 + 2*c - 2*m**3*p**3 + m**2*p**3 - 9*m**2 wrt m? 678*c**2 - 12*p**3 Find the third derivative of 5*c*r**6 + 6*c*r**2 + 2*r**6 - 3*r**3 + 8*r**2 wrt r. 600*c*r**3 + 240*r**3 - 18 Differentiate -15*t**3*x - 12*t**3 + 2*x - 27 wrt t. -45*t**2*x - 36*t**2 What is the first derivative of a**2*q*v - 66*a*q*v**2 + a*v**3 + 4*q*v**3 + 13 wrt a? 2*a*q*v - 66*q*v**2 + v**3 Find the first derivative of 20*j*p**2 - j*y**2 - p**2*y**2 + 3*p**2*y - 2*p*y**2 wrt j. 20*p**2 - y**2 What is the first derivative of 6*b**2*o**2 - b*o + 223*o**2 wrt b? 12*b*o**2 - o Differentiate 34*i**4 - 5*i**2 + 656 wrt i. 136*i**3 - 10*i What is the second derivative of -69*t**3*u**2 - t**3*u - 21*t**3 + 2*t**2*u**2 wrt u? -138*t**3 + 4*t**2 What is the third derivative of 293*c**3 - 472*c**2? 1758 What is the second derivative of 1742*b**2*r**3 - 110*b**2*r + 2*b*r + 2*r**4 - 5 wrt r? 10452*b**2*r + 24*r**2 What is the third derivative of w**6 + 5479*w**5 - 24*w**2 - 4*w + 8 wrt w? 120*w**3 + 328740*w**2 Find the third derivative of 639*b**4 + b**3*y**2 + 2*b**3 - 3*b**2*y**2 + 141*b*y wrt b. 15336*b + 6*y**2 + 12 Find the third derivative of -234*a**3*j**3*t**2 + 2*a**3*j**2*t + 2*a*j**2 - 4*a*j*t**3 + 7*a*j*t - 2*j**3*t**3 wrt j. -1404*a**3*t**2 - 12*t**3 Find the second derivative of -2*b*s**2*v + 13*b*s*v + 8*b + 3533*s**3*v - 3*s*v + 2*s + 2 wrt s. -4*b*v + 21198*s*v What is the third derivative of -15266*g**3*j*s + 2*g**2*j*s - 143*g**2*j - 3*g*j*s - 2*g*j wrt g? -91596*j*s What is the second derivative of -297*f*k**3*p**2 - 2*f*k**3 - 8*f*k*p + f*p**2 + 2*k**3*p - 2*k**3 - 84*k**2*p wrt p? -594*f*k**3 + 2*f What is the derivative of 3898*p**4 - 4939? 15592*p**3 What is the second derivative of 12*k**4 + 59*k**3 - 2*k**2 + 62*k + 12? 144*k**2 + 354*k - 4 What is the second derivative of 3068*s**3 + 155*s + 2? 18408*s Differentiate 251*m*u**3 - 3*m + 52 wrt u. 753*m*u**2 What is the third derivative of -168*m**4 + 2*m**3 + m**2 - 2068? -4032*m + 12 What is the third derivative of 32820*q**3 - 443*q**2 - 14? 196920 Find the third derivative of -4*d**3*k*y**2 + 16*d**3*k - 2*d**3 - 3*d**2*k*y**2 + 5*d**2*y + 16*k*y wrt d. -24*k*y**2 + 96*k - 12 What is the second derivative of 108*q*t**3*u**3 + 4*q*t**3*u - 35*q*t - 2*q*u**3 - q*u**2 + t*u wrt u? 648*q*t**3*u - 12*q*u - 2*q What is the derivative of -10*k**2*l + 3*k**2 + 4*k*l**2 - 92*k - 3*l wrt l? -10*k**2 + 8*k*l - 3 Find the second derivative of -n**3*v - 5*n**2*v - 2*n*v - 159*n wrt n. -6*n*v - 10*v What is the derivative of 2*f*o*t**3 + 643*f*o*t + 627*f*t**3 - 3*f + 3*o*t**3 wrt o? 2*f*t**3 + 643*f*t + 3*t**3 Differentiate -32*f*k**2 - 409*f + 6*k**3 wrt k. -64*f*k + 18*k**2 Find the third derivative of 36*h**2*j**3 - 3*h**2*j**2 - 5*h*j**4 - 46*h*j**2 wrt j. 216*h**2 - 120*h*j What is the second derivative of 2*p**4 + 3*p**3 + 10*p? 24*p**2 + 18*p Differentiate -44*h**3 - 37 wrt h. -132*h**2 Find the third derivative of -383*a**5 - 2*a**2 - 169. -22980*a**2 Find the first derivative of -f**4*n - 5*f**4 - 4*f*n**2 - 199*n**2 wrt f. -4*f**3*n - 20*f**3 - 4*n**2 Differentiate 38*k*q*u*w**2 - k*q*u - 13*k*u + 2*k*w + 2*q*u*w**2 - 44*q*u*w + 5*q*w + 2*w + 3 with respect to k. 38*q*u*w**2 - q*u - 13*u + 2*w What is the derivative of -1142*o**2 + 104? -2284*o Find the third derivative of 12*t**6 - 117*t**3 + 20*t**2 - 2*t. 1440*t**3 - 702 Find the second derivative of -205*g**2*o**2*w + 2*g**2*o*w - 3*g**2*o + g*o**3*w + 27*g*o*w wrt o. -410*g**2*w + 6*g*o*w Find the first derivative of 10*n*q**2 - 2*n*w + 1019*n - 1048*q**2*w**2 + 2*q*w**3 wrt w. -2*n - 2096*q**2*w + 6*q*w**2 Find the third derivative of -1868*y**6 + 4350*y**2. -224160*y**3 What is the derivative of -456*i + 264? -456 What is the third derivative of 156*r**3*t**3 + r**3*t**2 + 31*r**2*t**5 - 2598*r*t**2 wrt t? 936*r**3 + 1860*r**2*t**2 What is the derivative of 38*d*q**2*w**2 - 88*d*q**2 - 3*d*w**2 + 2*q*w wrt w? 76*d*q**2*w - 6*d*w + 2*q What is the second derivative of -1598*b**5 + 568*b wrt b? -31960*b**3 Find the second derivative of 2542*n**3 - 2949*n. 15252*n Find the third derivative of -263*u**3 + 38*u**2 + 1. -1578 Find the first derivative of -31820*z - 939. -31820 Find the second derivative of -4*i*n**5*t - 222*i*n**4*t - 3*i*n + 16*i*t + 4*n + 2*t wrt n. -80*i*n**3*t - 2664*i*n**2*t Find the first derivative of -6*b**3 + 2*b*j*k - 6*b*j + 415*j*k + 1 wrt b. -18*b**2 + 2*j*k - 6*j Differentiate 4225*a
{ "pile_set_name": "DM Mathematics" }
rivative of y(w). Suppose i(o) = 0. Calculate o. 0, 7 Suppose -5*t + 8 = 4*b, 0 = 2*t - b - 63 + 52. Factor -1/2*k**3 - 1/4*k**t + 0 + 0*k - 1/4*k**2. -k**2*(k + 1)**2/4 Suppose -18*o + 17*o = -49. Let d = 51 - o. Factor 1/5*l**d + 2/5*l + 0. l*(l + 2)/5 Let i(p) be the third derivative of 2*p**7/525 - 13*p**6/150 + 11*p**5/25 + 77*p**4/30 - 196*p**3/15 + p**2 + 22. Determine k so that i(k) = 0. -2, 1, 7 Let f(m) be the second derivative of m**5/330 + m**4/11 + 12*m**3/11 + 9*m**2/2 - 20*m. Let l(c) be the first derivative of f(c). Factor l(h). 2*(h + 6)**2/11 Let s(l) = -l**3 + 2*l**2 - l + 1. Let h(r) = 15*r**3 - 300*r**2 - 5790*r - 18. Let v(w) = h(w) + 18*s(w). Solve v(x) = 0 for x. -44, 0 Let s = -2653/44 + 666/11. Factor 0 + s*t - 1/4*t**2 + 1/4*t**4 - 1/4*t**3. t*(t - 1)**2*(t + 1)/4 Find f such that 7*f**3 - 97*f**4 - 55*f**2 - 15*f - 72*f**3 + 72*f**4 = 0. -1, -3/5, 0 Let -3/4*w**5 - 9/4*w**4 + 9/4*w**2 + 0*w + 0 + 3/4*w**3 = 0. What is w? -3, -1, 0, 1 Factor -16*w**2 + 2 + 31*w**3 - 7*w**3 + 12*w**3 - 24*w**4 - 2 + 4*w**5. 4*w**2*(w - 4)*(w - 1)**2 Suppose 5*h + 5*f = 810, 0 = 4*h - 7*h + 2*f + 486. Let z = h + -159. Let -1/3 + 7/9*c - 5/9*c**2 + 1/9*c**z = 0. Calculate c. 1, 3 Let v = -87 + 85. Let y be 4/(-9) - -2*(0 - v). Factor y + 2/9*u**2 + 16/9*u. 2*(u + 4)**2/9 Let b(v) be the second derivative of -12*v + 1/2*v**3 - 49/160*v**5 + 0 + 7/32*v**4 + 1/4*v**2. Solve b(p) = 0 for p. -2/7, 1 Let v be 88/(-60) + 9/6. Let j(y) be the second derivative of 0*y**4 - v*y**6 - 5*y + 0*y**2 + 0 - 2/3*y**3 + 3/20*y**5. Factor j(z). -z*(z - 2)**2*(z + 1) Let d = -74 - -78. Let g(b) = -4*b**3 - 6*b**2 + b + 3. Let j(m) = 5*m**3 + 7*m**2 - 2*m - 4. Let x(l) = d*g(l) + 3*j(l). Factor x(i). -i*(i + 1)*(i + 2) Let -104/5*g**2 - 2/5*g**3 + 2/5*g + 104/5 = 0. What is g? -52, -1, 1 Let t(j) be the second derivative of j**4/12 + 9*j**3 + 729*j**2/2 + 30*j. Suppose t(p) = 0. Calculate p. -27 Let n(a) be the first derivative of -a**5/25 + a**4/20 + 23*a**3/15 + 39*a**2/10 + 18*a/5 - 174. Suppose n(j) = 0. What is j? -3, -1, 6 Suppose -4*b = -2*b + 4*n - 10, -b + 4*n = 19. Let q be -2 + b/3 + 45/12. Factor -7/4*o - 2*o**2 - q*o**3 - 1/2. -(o + 1)**2*(3*o + 2)/4 Let y be -1*(-12 - 50/(-5)). Factor -1/2*r**2 - y*r - 3/2. -(r + 1)*(r + 3)/2 Let y(b) be the first derivative of 121*b**6/720 - 11*b**5/60 + b**4/12 - 4*b**3 - 6. Let w(f) be the third derivative of y(f). What is v in w(v) = 0? 2/11 Let k(w) be the second derivative of 1/48*w**4 - 17*w - 1/12*w**3 - 3/8*w**2 + 0. Let k(o) = 0. Calculate o. -1, 3 Let z(n) = 2*n**2 + 193*n - 1558. Let g be z(-104). Factor -72/13 - 2/13*l**g + 24/13*l. -2*(l - 6)**2/13 Let n(w) be the third derivative of -w**7/525 + w**6/30 - 17*w**5/150 + 2*w**4/15 + 286*w**2. What is j in n(j) = 0? 0, 1, 8 Let n(k) = -k**2 + 1. Let x(z) = 20*z**3 - 8*z**2 - 48*z - 20. Let c = 43 + -47. Let i(s) = c*n(s) - x(s). Find r such that i(r) = 0. -1, -2/5, 2 Suppose -22/17*x + 2/17*x**2 + 56/17 = 0. What is x? 4, 7 Let x = 8575 + -42873/5. Find w, given that 0 + 2/5*w - x*w**4 - 2/5*w**3 + 2/5*w**2 = 0. -1, 0, 1 Let q(u) = 3*u + 59. Let r = 111 - 130. Let i be q(r). Factor 8/13*f + 2/13*f**3 + 8/13*f**i + 0. 2*f*(f + 2)**2/13 Factor -o**2 - 38*o**4 - 7*o**4 + 132*o**3 - 111*o**3 + 18*o**5 + 9*o**5 - 2*o**2. 3*o**2*(o - 1)*(3*o - 1)**2 Let z be 81/243 - 28/(-6). Let p(f) be the third derivative of 0 + 1/10*f**z + 0*f + 5*f**2 + 1/3*f**3 - 1/4*f**4 - 1/60*f**6. Suppose p(l) = 0. Calculate l. 1 Factor -1345 + 3*u**2 - u**2 - 32*u + 2705 - 1330. 2*(u - 15)*(u - 1) Let h(n) be the first derivative of n**5/140 + 3*n**4/28 + 9*n**3/14 + 27*n**2/14 - n - 6. Let s(x) be the first derivative of h(x). Find l such that s(l) = 0. -3 Suppose -p + 4*p - 6 = 0, 5*h + 12 = p. Let r(q) = -q**3 + 3*q - 2. Let y be r(h). What is b in 2/7*b**2 + y + 0*b = 0? 0 Suppose 2*w = -0 + 4. Let a(c) = -3*c**w - 4*c**3 - 5*c + c**3 + 5*c**3. Let u(m) = m**3 - 3*m**2 - 4*m. Let r(t) = 2*a(t) - 3*u(t). Let r(v) = 0. What is v? -2, -1, 0 Suppose -3*k + 86 = 4*j, -2*j - 3*k + 14 + 32 = 0. Suppose 24*w**3 + 4*w + 5*w**4 - 12*w**3 - j*w**2 + 31*w**4 = 0. Calculate w. -1, 0, 1/3 Let f(d) = -17*d**2 - 465*d + 190. Let u(a) = -15*a**2 - 465*a + 190. Let q(o) = 5*f(o) - 4*u(o). Factor q(s). -5*(s + 19)*(5*s - 2) Suppose 0 = a - 2*k - 3*k - 25, -5*k = 5*a - 95. Let o be (-4)/a*0*1. Factor 0*i**3 - 3/5*i**2 + o + 0*i + 3/5*i**4. 3*i**2*(i - 1)*(i + 1)/5 Let k be (4/(-10))/(612/(-170)). Let f(c) be the first derivative of 1/2*c**2 + k*c**3 + 5 + 2/3*c. Factor f(v). (v + 1)*(v + 2)/3 Let j(i) = -70*i**3 + 880*i**2 + 3555*i + 2775. Let r(k) = 5*k**3 - 63*k**2 - 254*k - 198. Let m(y) = -6*j(y) - 85*r(y). Factor m(z). -5*(z - 18)*(z + 1)*(z + 2) Suppose -5*a = 15, 3*q + 5*a + 9 = -12. Let v be -1*(1/q*6 - -3). Determine s, given that 0*s + v + 2/7*s**2 = 0. 0 Solve 5*a - 521*a**3 - 3*a**5 + 6*a**2 + 0 + 1 - 7*a**4 + 259*a**3 + 260*a**3 = 0. -1, -1/3, 1 Let w(r) = 4*r**2 + 11*r + 7. Let c(x) = x + 1. Let u(n) = -40*c(n) + 5*w(n). Factor u(q). 5*(q + 1)*(4*q - 1) Suppose 6*u - 3*u = -0*u + 4*u. Factor -2/3*l**2 + 10/3*l**3 + u*l + 0 - 25/6*l**4. -l**2*(5*l - 2)**2/6 Let a = -174 - -176. Let q(m) be the first derivative of -2/3*m**3 + 2*m**a - 2*m + 5. Find i such that q(i) = 0. 1 Let x(n) be the second derivative of n**4/4 + 7*n**3/2 - 27*n**2 - 69*n - 2. Determine t, given that x(t) = 0. -9, 2 Let a(s) = -s**2 - 16*s + 17. Let y be a(-17). Suppose 0 = -2*v + 4 - y. Factor -127*o - 4*o**v + 3*o**4 + 135*o - 2*o**4 - 2*o**3. o*(o - 2)**2*(o + 2) Let x = -16 - -35. Suppose -5*l + 2*a + 16 = -l, 3*l = -2*a + 5. Factor -2*d**2 - d - 17 + x - d + 4*d**l - 2*d**3. 2*(d - 1)**2*(d + 1) Suppose -6*c + 70 = -c - 5*a, 4*a + 70 = 5*c. Let z be 175/49 + -4 + 62/c. Factor 4/7*b**3 - 2/7*b**z - 4/7*b + 2/7 + 0*b**2. -2*(b - 1)**3*(b + 1)/7 Factor -19/2*n - 10 + n**2 + 1/2*n**3. (n - 4)*(n + 1)*(n + 5)/2 Suppose -5*d + 7*d = 4. Factor -11 - 39*i**d - 36*i - 1 - 4*i**4 + i**4 - 18*i**3. -3*(i + 1)**2*(i + 2)**2 Let o(v) be the first derivative of 3/16*v**4 - 10 + 0*v**3 - 9/8*v**2 + 3/2*v. Factor o(b). 3*(b - 1)**2*(b + 2)/4 Let n(l) be the first derivative of 33/4*l**4 + 5/6*l**6 + 0*l + 2*l**2 - 8 - 22/5*l**5 - 20/3*l**3. Factor n(d). d*(d - 2)*(d - 1)**2*(5*d - 2) Let a = 5559 - 5559. Factor 1/2*r - 3/4*r**4 + a - r**3 + 1/4*r**2. -r*(r + 1)**2*(3*r - 2)/4 Let i be ((-99)/180 + (-4)/(-10))*-15. Determine q so that 21/8*q + 9/8 - 15/8*q**4 + 3/4*q**2 - i*q**3 - 3/8*q**5 = 0. -3, -1, 1 Let r(z) be the third derivative of -z**5/90 + 109*z**4/54 + 73*z**3/27 - 734*z**2. Suppose r(y) = 0. Calculate y. -1/3, 73 Let t(a) be the first derivative of -7 - 1/2*a**4 + 0*a**2 + 3*a**3 + 0*a + 1/120*a**6 - 3/40*a**5. Let o(v) be the third derivative of t(v). Factor o(f). 3*(f - 4)*(f + 1) Let j be 36/66*22/3. Let a(b) be the third derivative of 1/140*b**7 + 0*b + 3*b**2 + 1/24*b**5 - 1/48*b**j + 0*b**3 - 7/240*b**6 + 0. Factor a(o). o*(o - 1)**2*(3*o - 1)/2 Suppose -y + 30 = y. Let q = -11 + y. Find f, given that f**3 + 0 - 4 + q = 0. 0 Let j = 172/7 - 832/35. What is w in -8/5*w**2 + 12/5*w - j = 0? 1/2, 1 Let o be (-46)/115 - (679/(-340))/(-1). Let h = 1/340 - o. Let 2/5*p**2 + 18/5 - h*p = 0. What is p? 3 Let q(k) be the third derivative of 4/7*k**3 + 0 - 1/210*k**6 + 32*k**2 + 0*k + 5/42*k**4 - 2/105*k**5. Solve q(n) = 0. -3, -1, 2 Suppose 3*t + 5*d - 35 = 0, -7*d + 2*d + 10 = -2*t. Suppose 4*r - 7 = t. Suppose 0 + 2/9*s - 4/9*s**r - 1/3*s**4 + 1/9*s**2 = 0. What is s? -1, 0, 2/3 Let r(d) = -3*d + 2. Let z(i) = 7*i - 5. Let o(c) = 5*r(c) + 2*z(c). Let l(q) = 5*q**2 + 55*q + 45. Let v(g) = -l(g) - 5*o(g). Let v(s) = 0. What is s? -9, -1 Let j(k) be the first derivative of -k**7/840 + k**6/180 + k**5/120 - k**4/12 + k**3/3 - 14. Let h(i) be the third derivative of j(i). Factor h(c). -(c - 2)*(c - 1)*(c + 1) Let g be (1/(-4))/((-3)/(-12)). Let z be (g - 14)/((-9)/15). Factor -2*d**5 - z*d + 2*d**4 + 25*d. -2*d**4*(d - 1) Let n be (-1 + (13 - 12))/2. Suppose 8/7*g**3 + 16/7*g**2 + 1/7*g**4 + 0*g + n = 0. Calculate g. -4, 0 Let y(v) be the third derivative of -2/3*v**5 + 0*v - 3/70*v**7 + 41*v**2 + 0 + 0*v**3 - 1/2*v**4 - 13/40*v**6. Suppose y(g) = 0. Calculate g. -3, -2/3, 0 Let v = -135 + 139. Let c be 6/v -
{ "pile_set_name": "DM Mathematics" }
001 List the prime factors of 97967111. 11, 103, 86467 List the prime factors of 182305052. 2, 45576263 What are the prime factors of 46079079? 3, 15359693 List the prime factors of 4555388788. 2, 29, 281, 139753 What are the prime factors of 1385355777? 3, 13, 863, 41161 What are the prime factors of 23395003? 827, 28289 What are the prime factors of 78248593? 19, 109, 37783 List the prime factors of 44180145. 3, 5, 397, 2473 List the prime factors of 1241089252. 2, 13, 307, 77743 What are the prime factors of 565783939? 7, 29, 193, 2063 What are the prime factors of 1159640917? 47, 97, 113, 2251 List the prime factors of 58586071. 58586071 List the prime factors of 83262837. 3, 7, 3964897 What are the prime factors of 37468551? 3, 19, 29, 1193 List the prime factors of 228864349. 7, 667243 List the prime factors of 2191404273. 3, 19, 157, 244877 What are the prime factors of 647345715? 3, 5, 43156381 List the prime factors of 141952165. 5, 37, 767309 List the prime factors of 1439630299. 37, 73, 532999 What are the prime factors of 29122707? 3, 197, 49277 What are the prime factors of 583330112? 2, 17, 536149 What are the prime factors of 130178535? 3, 5, 29, 299261 What are the prime factors of 313074949? 11, 997, 28547 List the prime factors of 95320239. 3, 7, 648437 What are the prime factors of 438573879? 3, 3389, 4793 List the prime factors of 2175969602. 2, 23, 919, 51473 List the prime factors of 2426881526. 2, 191, 6353093 What are the prime factors of 5133209373? 3, 570356597 What are the prime factors of 482806735? 5, 59, 827, 1979 List the prime factors of 51612490. 2, 5, 5161249 List the prime factors of 4016567181. 3, 11, 1459, 83423 What are the prime factors of 413711925? 3, 5, 11, 23, 21803 List the prime factors of 763090889. 11, 71, 977069 What are the prime factors of 788581102? 2, 2711, 145441 List the prime factors of 107444523. 3, 23, 389, 4003 List the prime factors of 128858432. 2, 73, 27581 List the prime factors of 740136685. 5, 389, 380533 What are the prime factors of 3793140229? 3793140229 List the prime factors of 24975196. 2, 19, 328621 List the prime factors of 2554155095. 5, 61, 2711, 3089 What are the prime factors of 3558917997? 3, 395435333 What are the prime factors of 1615080321? 3, 2437, 73637 What are the prime factors of 228152148? 2, 3, 7, 97, 28001 List the prime factors of 1668654191. 509, 3278299 List the prime factors of 37068679. 37068679 List the prime factors of 53110662. 2, 3, 11, 19, 41, 1033 What are the prime factors of 307621268? 2, 76905317 What are the prime factors of 472670533? 17, 27804149 What are the prime factors of 3626962020? 2, 3, 5, 11, 1831799 List the prime factors of 667071845. 5, 11, 41, 295819 What are the prime factors of 306096622? 2, 13, 11772947 What are the prime factors of 335480472? 2, 3, 4659451 What are the prime factors of 132435794? 2, 23, 2879039 List the prime factors of 152175296. 2, 7, 13, 17, 29, 53 List the prime factors of 1605668095. 5, 31, 37, 279977 What are the prime factors of 32105098? 2, 19, 683, 1237 What are the prime factors of 24324722? 2, 17, 139, 5147 What are the prime factors of 10321664? 2, 23, 1753 List the prime factors of 121281948. 2, 3, 139, 2693 List the prime factors of 1850892935. 5, 17, 367, 59333 List the prime factors of 108954730. 2, 5, 67, 137, 1187 What are the prime factors of 58436242? 2, 17, 1718713 What are the prime factors of 673146687? 3, 19, 149, 79259 List the prime factors of 99017290. 2, 5, 67, 147787 What are the prime factors of 554010967? 61, 2753, 3299 List the prime factors of 66315014. 2, 31, 1069597 List the prime factors of 4336255. 5, 7, 11, 1609 List the prime factors of 50889548. 2, 29, 307, 1429 List the prime factors of 10808105. 5, 7, 11, 67, 419 What are the prime factors of 34667171? 7, 11, 450223 List the prime factors of 3090073. 7, 17, 23, 1129 What are the prime factors of 46526364? 2, 3, 19, 251, 271 What are the prime factors of 5045094? 2, 3, 241, 1163 What are the prime factors of 238247246? 2, 119123623 What are the prime factors of 82043490? 2, 3, 5, 157, 17419 List the prime factors of 49390443. 3, 19, 288833 What are the prime factors of 9177992916? 2, 3, 239, 3200137 What are the prime factors of 238355364? 2, 3, 13, 43, 35533 List the prime factors of 707271335. 5, 9067, 15601 What are the prime factors of 746404017? 3, 248801339 List the prime factors of 1172478941. 1172478941 What are the prime factors of 323532249? 3, 7949, 13567 List the prime factors of 424192710. 2, 3, 5, 14139757 What are the prime factors of 4433107086? 2, 3, 246283727 What are the prime factors of 10773848? 2, 29, 46439 What are the prime factors of 9359993? 83, 112771 List the prime factors of 208363904. 2, 7, 232549 List the prime factors of 512426595. 3, 5, 34161773 List the prime factors of 469276913. 7, 67039559 List the prime factors of 25518888. 2, 3, 13127 What are the prime factors of 1504290760? 2, 5, 7, 5372467 What are the prime factors of 517008688? 2, 7, 41, 112589 What are the prime factors of 822171860? 2, 5, 41108593 List the prime factors of 2112459460. 2, 5, 105622973 What are the prime factors of 126199494? 2, 3, 7011083 List the prime factors of 3937481. 3937481 List the prime factors of 177179525. 5, 17, 353, 1181 What are the prime factors of 22111161? 3, 271, 27197 What are the prime factors of 59654365? 5, 11930873 List the prime factors of 91890695. 5, 13, 17, 137, 607 List the prime factors of 168513440. 2, 5, 59, 17851 What are the prime factors of 407163743? 7, 41, 1418689 What are the prime factors of 1132082504? 2, 7, 71, 284729 List the prime factors of 2622002787. 3, 43, 6775201 List the prime factors of 412178654. 2, 206089327 What are the prime factors of 234325445? 5, 46865089 List the prime factors of 12656251. 12656251 What are the prime factors of 271205374? 2, 11, 23, 71, 7549 What are the prime factors of 13584914? 2, 7, 970351 What are the prime factors of 48162470? 2, 5, 769, 6263 What are the prime factors of 138820130? 2, 5, 17, 816589 List the prime factors of 2299787593. 2299787593 List the prime factors of 3822876031. 13, 59, 443, 11251 List the prime factors of 637275890. 2, 5, 63727589 What are the prime factors of 431021768? 2, 31, 1737991 List the prime factors of 1600762401. 3, 7, 25408927 List the prime factors of 96661509. 3, 7, 1091, 4219 List the prime factors of 823399901. 173, 1117, 4261 List the prime factors of 19341502. 2, 53, 182467 What are the prime factors of 8091771? 3, 547, 4931 List the prime factors of 24484784. 2, 73, 20963 List the prime factors of 41934449. 1303, 32183 What are the prime factors of 67994397? 3, 839437 What are the prime factors of 2626827? 3, 7, 43, 2909 What are the prime factors of 115233192? 2, 3, 79, 2251 What are the prime factors of 2281740875? 5, 19, 23, 41771 What are the prime factors of 107955160? 2, 5, 997, 2707 What are the prime factors of 172013866? 2, 86006933 List the prime factors of 6238757. 7, 891251 List the prime factors of 865283808. 2, 3, 1409, 6397 List the prime factors of 2236148937. 3, 11, 836569 What are the prime factors of 274355772? 2, 3, 53, 431377 List the prime factors of 132016959. 3, 19, 85781 List the prime factors of 43441102. 2, 211, 311, 331 List the prime factors of 169166372. 2, 541, 78173 List the prime factors of 364920803. 13, 28070831 List the prime factors of 5161850764. 2, 7, 19, 47, 59, 3499 List the prime factors of 20791674. 2, 3, 41, 9391 What are the prime factors of 4641513487? 13, 357039499 What are the prime factors of 4039289075? 5, 37, 227, 19237 List the prime factors of 83944232. 2, 17, 617237 List the prime factors of 884309241. 3, 15737, 18731 List the prime factors of 4046127. 3, 907, 1487 List the prime factors of 1288690264. 2, 577, 279179 What are the prime factors of 118859321? 7, 16979903 List the prime factors of 376839034. 2, 11, 13, 17, 179, 433 List the prime factors of 2424881401. 107, 269, 84247 List the prime factors of 893096550. 2, 3, 5, 661553 What are the prime factors of 108438309? 3, 7, 1721243 What are the prime factors of 84653175? 3, 5, 29, 38921 What are the prime factors of 162900840? 2, 3, 5, 1357507 List the prime factors of 1769
{ "pile_set_name": "DM Mathematics" }
nd -1 nonequal? True Let x be (10/4)/(21*4/18). Is 0 at most as big as x? True Let m be 8/(-10) + 202/(-10). Let z = 25 + m. Suppose 3*n = -3*d + 4*d - 12, -4*d - z*n = 32. Does d = -5? False Let f be 28/(-6)*1/2. Let m = 5/3 + f. Let a = 0.04 + -0.24. Which is smaller: a or m? m Let m(x) = -x**2 - 5*x - 6. Suppose -4*f - 5*l - 29 = -3*f, -3*f + l - 7 = 0. Let n be m(f). Let c be (-65)/(8 + 5) - 0. Which is bigger: c or n? n Suppose -16*b = -3*q - 15*b - 387, -129 = q - 5*b. Is q < -128? True Let m(o) = 851*o**2 + 2*o - 1. Let v be m(1). Suppose v = -9*x + 303. Which is smaller: x or -62? -62 Let g be 1/(80304/(-16056) + 7 + -2). Which is greater: g or -670? g Let j(l) = -18*l + 7. Let q be j(-3). Let u = q - 56. Is u less than -0.01? False Let b = -3.06 - -30.36. Let l = b - 29. Let p = l + 1.63. Does 1 = p? False Let c = 203 + -202.85. Is -7 not equal to c? True Suppose 6*i - 52 = -7*i. Is 13 < i? False Suppose 2*x - 2*b - 2*b = 612, -3*x = -5*b - 917. Let r = 3342/11 - x. Let t = -0.515 + 0.515. Is r at least as big as t? False Let x(v) = 24*v + 4. Let k(s) = -49*s - 8. Let q(z) = 3*k(z) + 7*x(z). Let i be q(1). Which is smaller: 24 or i? 24 Let w = -2.44 - 30.56. Which is bigger: -2/3 or w? -2/3 Let z(p) be the first derivative of -21*p**4/2 + 3. Let h be z(1). Let i = -292/7 - h. Is -1 at most as big as i? True Suppose -3 = -6*p + 15. Suppose -b - p*a = -10 - 10, 2*b - 34 = -3*a. Let s = 16 - b. Are 11/7 and s unequal? True Let d(l) = -2*l**2 + 20*l - 5. Let u be d(11). Let f = u + 24. Is -15/4 <= f? True Let r(y) = -7*y + 13. Let w be r(-5). Suppose -2*b - 131 = 5*q, -4*b = 2*q - b + w. Which is smaller: q or -30? -30 Let q = -193 - -192.8. Which is smaller: 106 or q? q Let g(h) = 6*h - 16. Let b be g(10). Let k = b + -45. Which is smaller: k or -5/4? -5/4 Let q = -414 + 313. Which is smaller: q or -305/3? -305/3 Suppose -148*f - 4 = -144*f. Which is smaller: f or -9/203? f Let t = 26 - 29.6. Let l = t - -3.4. Which is smaller: l or 3? l Let t = -44316 - -44342.963. Let c = -0.037 - t. Which is smaller: 1 or c? c Suppose 0 = -4*y + 2*y + k + 14, 2*y + 2*k - 8 = 0. Suppose c + 1 = y. Suppose 5*a - c*h = 25, 2*a + 4 = -2*h + 2. Is a <= 3? True Let c = 49.5 - 58. Let x = -1.43 - 0.07. Let b = c - x. Is b >= 0.1? False Let p = 1690.7 + -1691. Is -2/63 greater than p? True Let d = 2 + 0. Let u = 19841/364 + -710/13. Is d smaller than u? False Let u(d) = 2*d - 27. Let w(j) = -4*j + 55. Let s(f) = -5*u(f) - 2*w(f). Let y be s(11). Are y and 4 non-equal? True Suppose -4*w = -4 - 8. Suppose 3*l + 6*z - 22 = 4*z, -27 = -w*l - 3*z. Suppose -l*c - c - 2*p + 9 = 0, -5*c = -2*p - 1. Are 1/73 and c unequal? True Let u(n) = -n**3 + 2*n + 3. Let v = -53 + 51. Let y be u(v). Are 7 and y equal? True Let p = 458.3 + -458. Which is smaller: p or -49? -49 Let z = -1038 + 1039. Let n = 1 - 2. Which is smaller: z or n? n Let i(r) = 0*r - 2 - 5*r + 0*r + 3*r. Let w be i(-2). Let h be (-13)/26 + 1/w. Is 1/15 smaller than h? False Let o = 1216 - 677. Which is bigger: 0 or o? o Let n(m) = -5*m - 3. Let q be n(5). Suppose -176 = 20*v - 12*v. Let t = q - v. Is -14/3 at most as big as t? False Let x be 16/(-14)*35/(-10). Let t be (1 - x - -3)/(-5 + 2). Do t and 1 have the same value? False Suppose -4*z + 19 = -3*f, -4*z - 11 = 3*f - 0. Let h = -230 + 692. Let u = h + -20788/45. Which is greater: z or u? z Let x(f) = f**2 - 8*f - 5. Suppose 0 - 4 = 4*u. Let m(y) = y + 1. Let k(h) = u*x(h) - 6*m(h). Let t be k(1). Which is smaller: t or 6/11? t Let w be (1/5)/((-12)/40). Is -0.45 > w? True Suppose 0*l = -3*l + 6. Let z be ((-4)/(-3))/((-2)/(-6)). Suppose -z*i = -3*i + 5*x - 11, -x = -5*i + 3. Which is smaller: i or l? i Let v(h) = -h + 19. Let b be v(14). Suppose -4*x + 5 = -w, -2*w = b*x + w - 19. Let q be -4 - 2/(x + 0). Which is smaller: q or -2? q Let t be (-5 + (-36)/(-8))*18. Let s(z) = -2*z - 8. Let l be s(t). Are l and 8 non-equal? True Let x(y) be the first derivative of -y**4/4 + 2*y**2 + 3*y + 2. Let c be x(-2). Let g(l) = 4*l - 27. Let r be g(7). Which is smaller: r or c? r Let i be 108/(-30)*10/(-3). Is i greater than 80/7? True Let w = -1372 + 1386. Is w smaller than 18? True Let p be (-15)/(-10)*(-8)/(-78). Let s = 1/78 + p. Do s and -4 have different values? True Suppose -4*b + 20 = -0*b. Suppose -p - 33 = -b*n, -5*n = -2*n - 2*p - 24. Let t be 7/(-2) - n/(-2). Which is greater: 4/5 or t? 4/5 Let k = 0.004 + -0.054. Let b = 0.1 + k. Which is greater: -2/3 or b? b Let d = -5349/4 - -1338. Is 227 at least as big as d? True Let i(s) be the first derivative of 2*s**3 + 3*s**2/2 + 2*s + 1. Let b be i(-1). Let x = b + 28. Which is bigger: 34 or x? 34 Let m(z) = -13*z + 173. Let t be m(13). Are -235 and t equal? False Let i = -0.0261 + -49.9739. Is i greater than 0.12? False Let j = 6.2 + -6.08. Let d = 11 + -10.78. Let t = d - j. Is 7/5 at least t? True Let f = -19 + 16. Let n(p) = -p**3 + 7*p**2 - 6*p. Let u be n(6). Suppose -3*a + 4*a = u. Which is bigger: a or f? a Suppose o - 3*m = -2*m + 1, 0 = -3*o - 4*m - 18. Let k be (3 + -73)*((-21)/(-6) - 1). Let r be ((-1)/5)/((-14)/k). Is o bigger than r? True Suppose 5*j + 4*a = 169, 5*j + 4*a - 164 = 5*a. Is -3 <= j? True Let f(t) be the first derivative of -t**4/4 + 5*t**3/3 - 5*t**2/2 + t + 7. Let z be f(4). Let k be (2 - 5)/z - 4. Which is greater: k or -4? k Suppose 115 - 35 = 5*i + 4*f, -2*f = -10. Let l be (-92)/22 + i/66. Which is greater: -2/5 or l? -2/5 Let r = -34/3 + 439/39. Let q = r + 41/26. Let n = q - 13/6. Which is greater: n or -1? n Let k = -1.5 + 1. Let l = -2943/4 + 736. Which is smaller: k or l? k Let p be 1/3 - (-50)/(-24). Suppose -7 - 21 = 2*o. Let f = -16 - o. Which is greater: p or f? p Let v = -19 + 25. Suppose 36 = v*b - 4*b. Suppose -2*w - 20 = b. Is w less than or equal to -20? False Let p(f) = f + 10. Let d be p(-18). Which is smaller: -28/3 or d? -28/3 Let k = 2519 - 1551. Which is smaller: 969 or k? k Let p be (-50)/38 - (0 + -1). Let d be 4*(-2)/6 + (-321)/(-963). Is p at most d? False Suppose 2*r + 0*x - 6 = -2*x, -4*x = 0. Suppose 2*k - u = -4, -15*k + 16*k + 5*u - 20 = 0. Which is greater: k or r? r Let m = -76 + 82. Which is greater: m or -7? m Suppose -q = -2*q + 8. Let z = q - 7. Let p be (-2)/7 - 40/(-175). Is p smaller than z? True Let b = -1482623921/11 + 135108384. Let d = -324613 + b. Let u = d - -222. Which is smaller: u or -0.5? -0.5 Let v = 1 - -1. Let n be (-2)/v + 38/(-8). Suppose 101*i = -o + 102*i - 10, -4*o - 3*i = 12. Are o and n non-equal? True Let g be 3/21 - 26/((-7280)/(-3225)). Which is smaller: -12 or g? -12 Let m = 118/29 + -7848/1943. Suppose -k = -3*f - 3, -5*k + 2*k + 4*f = -4. Which is greater: m or k? m Let j = -4957 + 7390. Let y = j - 26783/11. Which is smaller: y or -3? -3 Let c be (1/2)/((-7)/112). Let u(d) = -d**2 - 9*d - 2. Let a be u(c). Let f = 4 - a. Is f greater than -1? False Let d = 35 + -71. Let x = d - -36.01. Is x smaller than 0.01? False Let u be (-4 - -1)/3 + 52. Let k = 154/3 - u. Which is bigger: k or 36? 36 Let n = 199 - 200. Which is bigger: n or -1/16? -1/16 Let i(m) = -m**3 + 3*m**2 - 3*m + 4. Let v be i(3). Is v smaller than 2/89? True Suppose 11*x = 308 - 495. Which is smaller: -71/4 or x? -71/4 Suppose -4*q - 6 = -5*q. Suppose -q*s = 30 + 36. Let c be (-140)/12 + (-2)/(-3). Is s less than or equal to c? True Let l(x) = x**2 + 5*x - 8. Let b be l(-6). Let d(m) = -m**2 - 12*m + 44. Let t be d(-15). Which is smaller: t or b? b Suppose 7*r - 18 = 13*r. Let n be 1 + -12 - (22 - 17). Which is bigger: r or n? r Let a be (1 - 38/42)*(9 + -12). Is a bigger than -453? True Let d = -92.1 + 92.721. Let l = -2.309 - d. Let b = 0.07 - l. Is b greater than -0.1? True Let q = 36976/7 + -5299. Is -17 not equal to q? True Suppose 2*k + 81 = 5*k. Let q(u) = -26*u**3 - u**2 - 2*u - 1. Let r be q(-1). Which is smaller: k or r? r Let m = -1/110 + -13/22. Let i = -0.05 - -0.65. Which is greater: i or m? i Let p = 102 - 154. Let c = -677/13 - p. Which is smaller: 0 or c? c Let i = 67/80 - 1/240. Let y be 282/24*(1 + (-46)/42). Let c = i + y. Which is bigger: c or -4? c Let a(n) = -5*n - 17. Let s be a(3). Which is smaller: -61/2 or s? s Let v be ((-3)/(-9))/((-8)/(-2448)). Suppose 0 = -3*x - 4*t + 303, x + 3*t - 18 = 83. Which is smaller: v
{ "pile_set_name": "DM Mathematics" }
- 2 = 0. Suppose x*w + 92 = 6*w. Suppose 165 = 2*b + 3*b + 2*f, -3*f = b - w. Is b a prime number? True Let w = 64 - -265. Is w prime? False Suppose -2*d + 3*m = -15 - 122, -2*d - 3*m + 167 = 0. Let o = -53 + d. Is o composite? False Let p(m) = -570*m**3 - m**2. Let x be p(-1). Suppose 5*h + 104 = x. Is h prime? False Let m(v) = 24*v + 19. Is m(7) composite? True Let i(a) be the third derivative of a**8/10080 - a**7/1008 - 7*a**6/720 - a**5/30 + 2*a**2. Let p(k) be the third derivative of i(k). Is p(-8) composite? True Let l be (-4)/6 - (-17)/3. Let b be (-2)/l*5/(-2). Suppose y - 2*o + 0 + b = 0, -2*y + o + 10 = 0. Is y prime? True Let d(c) be the first derivative of -c**4/4 - 2*c**3 - c**2 - 8*c + 1. Let l be d(-6). Is (-2)/l - (-43)/2 prime? False Suppose -l - 3 = -4*l. Is 7/(14/144) - l composite? False Let k(d) = d**3 - 9*d**2 - 9*d - 1. Let r be 12/72 - (-59)/6. Is k(r) prime? False Let y(w) = 2*w**2 - 4*w - 29. Is y(14) composite? False Let r = 11 + -8. Suppose 5*f + 3*v = 262, r*f + 5*v - 154 = -0*v. Is f prime? True Suppose -2*r + 938 + 32 = i, 5*r + 4*i - 2419 = 0. Is r a prime number? True Let b(j) = 8*j**2. Let k be b(1). Let g = k - 8. Suppose 0 = 4*s - o - 99, -o - 24 = -s - g*o. Is s prime? False Suppose -4*f - 16 = 3*l, -6 = -0*f - 2*f + 2*l. Let r = f - -5. Suppose -5*y + 5*u + 90 = 0, -33 = -0*y - y + r*u. Is y prime? True Suppose 3*b - 2*f = f + 195, 0 = 5*b - f - 341. Is b composite? True Suppose 10*b - 4388 = 5022. Is b a prime number? True Let x = 7 + -4. Suppose -3*q + 3*k + 168 = 36, 2*k = -2*q + 80. Suppose -q = -x*j + j. Is j a prime number? False Suppose 6*q + 3993 - 26175 = 0. Is q prime? True Suppose 3*b - 4*y = 4939, 0*y = 3*b + 2*y - 4951. Is b prime? False Let m(b) = 821*b - 1. Let y be m(-1). Is y/(-8) - (-5)/20 composite? False Let n = 1744 + -595. Is n a prime number? False Let q = 245 - 166. Is q prime? True Let g be 2/(-8)*(1 - 53). Suppose 5*f = 3*l + 33, -g = -f + l - 6. Is f composite? True Let b(v) = v**3 + 4*v**2 - 4*v + 6. Let z be b(-10). Let x = -135 - z. Is x composite? False Let r = 2523 + -1736. Is r prime? True Let j be ((-2)/(-6))/(4/(-24)). Is 5/((-5)/(-16)) + j composite? True Is (2 + 0)/(-8)*1*-3188 a composite number? False Let b = -2 - -3. Let g(r) = 0 - b - 2*r**2 - r**3 + 3. Is g(-3) a composite number? False Let r(s) = s**2 + 1. Let p be r(-1). Let k = 28 - p. Suppose -o = o - k. Is o a composite number? False Let f(i) = -4*i - 3. Let n be f(-2). Let d(c) = c**2 - c - 7. Is d(n) a prime number? True Let i = 1335 + -892. Is i a prime number? True Let f be 4/8*-2*-9. Suppose 7*n - f*n + 266 = 0. Is n composite? True Let a(s) = -s**3 + 3*s**2 - 3*s + 2. Let v be a(2). Suppose y = -x - 0 + 13, x - 3 = v. Suppose -115 = -3*g - y. Is g a prime number? False Suppose -5*h + 5 = -10. Suppose 258 = -0*g + 2*g. Suppose -g + 18 = -h*k. Is k a prime number? True Let w be (-21)/14*32/(-6). Suppose h - 7 = w. Is h a prime number? False Let l(z) = 410*z**2 + 2*z + 1. Is l(-1) a prime number? True Suppose -3*w + 4 - 1 = 0. Is 3/w*(-235)/(-15) composite? False Let i be (-1 + 104)*1 - 2. Is -7 + (-12)/(-4) + i composite? False Let t(w) be the first derivative of -w**2/2 - w + 2. Let j be t(-3). Suppose 2*o = 4*s - 360, 3*s - 273 = 5*o - j*o. Is s a composite number? False Suppose -70 = a + a. Let n be 6/(-10) - (-14)/a. Is n*1 - 36/(-3) prime? True Let h = -73 - 66. Suppose -4*z - 369 = -3*a, -5*z - a = -0*a + 447. Let y = z - h. Is y a composite number? True Let k(a) = a + 8. Let w(n) = 1. Let b(x) = -k(x) + 6*w(x). Let v be b(-9). Suppose c = 2*c - v. Is c composite? False Let q = -42 + 446. Let m = q - 193. Is m a prime number? True Suppose 5*d + 31 = -5*k + k, d + 19 = -4*k. Is (3 + -4)/(d/345) prime? False Let q be (1 - (1 - 0))/1. Let g(t) = 5*t**2 - 4*t + 3. Let b be g(7). Suppose -3*c - c + b = q. Is c a composite number? True Suppose 2*w - 4*q = 214, -5*w - 6*q + 4*q = -583. Is w/1 + -2 + 2 composite? True Suppose -6 = -b + g - 2*g, 2*g = b + 3. Let d(n) = 4*n - 6. Let j be d(4). Suppose -2*o + j = b*o. Is o a prime number? True Let s = 715 + -34. Is s prime? False Let n = -2 - -2. Suppose n*x - 5*x = 15. Let m(l) = -2*l**3 + 2*l**2 - 2*l - 4. Is m(x) a prime number? False Let z(j) = j**2 - 11*j + 12. Let v be z(10). Let p(q) = 7*q**3 - q**2 + 2*q - 2. Let w be p(v). Let k = w - 35. Is k composite? False Let a be (2/(-6))/(7/(-63)). Suppose a = -l, 4*m - 81 = 2*m + l. Is m a composite number? True Let v(l) = l - 5. Let w be v(7). Suppose w*g + 332 = -n - 4*n, 5*n - g = -329. Is 2 - (n + 1 + -2) a composite number? True Let l(s) = 768*s - 2. Let b be l(2). Is (-1)/(-5) + b/5 prime? True Let z(j) = -j - 5. Let w be z(-7). Suppose 2*t - 2*i = 218, -w*t - 3*i = -128 - 75. Is t prime? False Let o(j) = -51*j + 9. Let l(a) = -25*a + 4. Let w(i) = -13*l(i) + 6*o(i). Let p be w(-2). Let h = p - -51. Is h composite? True Let j be (-38)/(3 - (-22)/(-8)). Let i = j + 237. Is i a prime number? False Let u(s) = -s**2 - 51*s + 11. Is u(-22) composite? True Suppose 6 = 3*m + 2*w - 2, -12 = -5*m - 2*w. Suppose -c - 1 = k - 0*c, m*c - 10 = 4*k. Is 4/((-24)/357)*k a composite number? True Let s(i) be the first derivative of -i**2/2 + 12*i + 2. Is s(-9) prime? False Let i be 6/9 + 16/(-6). Let b be -1*6 - (1 + i). Is b*(-21)/(-6)*-2 composite? True Let s = 724 + 394. Suppose -s = -3*c + 1. Is c composite? False Let q = 20 - -57. Is q a composite number? True Let g(k) = -5*k - 22. Is g(-7) a prime number? True Let z(s) = s**2 + 5*s - 8. Let b be z(-6). Let r(o) = 1 - 3*o - 3*o**2 + 0 - 4 - 4*o**3. Is r(b) a composite number? False Let x be 2*2/(-2) - -2. Suppose 3*a - 2*i + i = 13, a + i - 11 = x. Let j(u) = 2*u**2 - 2*u - 3. Is j(a) a prime number? False Let d = -158 + 308. Suppose -3*k = 2*y - d + 35, -5*y + 268 = k. Is y prime? True Let h be 5/(10/(-26)) - 1. Let f(p) = p + 33. Is f(h) a prime number? True Let d(u) = u**2 + 2*u + 3. Let t(g) = g**2 + g + 3. Let l(i) = -3*d(i) + 4*t(i). Let z be l(2). Suppose z*o - 7*o + 124 = 5*b, -4*b = 0. Is o a prime number? True Suppose 0*t = 3*t + 15, -4*k + 3024 = -4*t. Is k a composite number? False Let z = -8 - -5. Let r = z - -5. Suppose 0 = r*n - 0 - 20. Is n a composite number? True Suppose 5*q - 184 = 26. Suppose -o = -3*r - 146, -4*r = -2*o - q + 336. Is o a composite number? False Suppose 6*l = 3*l - 366. Is 18/81 - l/18 composite? False Let h = -8 - -12. Suppose 4*v + 2*z = -24, -2*z = 2*v - h*z + 6. Is (-5)/(v/(-2)) - -37 prime? False Let v be (-4)/(-10) - 13/(-5). Let u be (-74)/(-14) - 10/35. Suppose d = v*l + 10, 0*d - u*d = -l - 120. Is d composite? True Let a = -85 + -11. Suppose 9 = -4*s - 683. Let g = a - s. Is g prime? False Is (-1)/(2/(-398)) + 4 composite? True Suppose 5*h = 2*z - 179, h - 134 = -z - 34. Is z prime? True Let f = -4 + 3. Let x = 2 - f. Suppose 6*l - 125 = l + x*c, 0 = -l + 4*c + 42. Is l composite? True Let h = 1481 - 282. Suppose -4*u - r + h = 0, 0 = -3*u - 5*r + 4*r + 900. Is u a prime number? False Let d(l) = 20*l**2 - 2*l + 3. Suppose -z - 7 = -9. Is d(z) a prime number? True Let i(x) = x**3 + 8*x**2 + 5*x - 8. Let p be i(-7). Is (1 + (-3)/p)*74 a composite number? False Suppose -4*j + 101 = -1591. Suppose -j = -3*t + 768. Is t a composite number? False Let h(g) = g + 3. Let r be h(3). Is (-483)/(-9) + (-4)/r a composite number? False Let m = -19 - -9. Let z = m + 101. Is z prime? False Suppose 4*m + 3*t = -0*t + 35, -m + 4*t - 15 = 0. Suppose -m*x + 70 = -3*x. Is x prime? False Let l = -74 - -21. Let v = -1 - l. Suppose -v = -d - 3*d. Is d a composite number? False Suppose -6 - 30 = -4*t. Suppose -d + 4*d = -t. Let j(l) = 9*l**2 + 2*l + 2. Is j(d) a prime number? False Let t = -111 - -458. Is t a prime number? True Let b(d) = 102*d**2 - 1. Is b(2) a prime number? False Let f(o) = -o + 1. Let j(w) = -9*w + 7. Let z(q) = -6*f(q) + j(q). Suppose -3*d = -d + 16. Is z(d) prime? False Let p(a) = a**2 - 7*a + 4. Let l = 12 - 5. Let x be p(l). Suppose 0 = o - x*o + 159. Is o prime? True Let t = 3 - 1. Suppose -t*q + 30 = -0*q. Is q prime? False Let u(n) = -n**3 + n**2 + 85. Let g(c) = c**3 - 6*c**2 + c - 5. Let x be g(6). Let z be (x + 0 - -1) + -2. Is u(z) a composite number? True Suppose 3*k - 4*u - 8616 - 6793 = 0, 3*k + 5*u - 15373
{ "pile_set_name": "DM Mathematics" }
662.123335 Work out 0.1868 + -139072527. -139072526.8132 What is 0.45 minus -2635704069? 2635704069.45 3912.06718 + 0.21487 3912.28205 What is 0.3813 plus 17192010116? 17192010116.3813 -101285344 - 224869 -101510213 Put together 129608 and -515297197. -515167589 What is the distance between 0.01256 and -1.2903238? 1.3028838 Sum 746904 and 1.242939. 746905.242939 What is 3953461575.562 take away -23? 3953461598.562 What is 0.0354 plus -3112652.0572? -3112652.0218 0.282 + -0.1931983 0.0888017 What is -39.9 less than 1616579749? 1616579788.9 0.1 - -2948608247219 2948608247219.1 Work out -8125737.4 - 79.90504. -8125817.30504 -2.9 - -235.924447174 233.024447174 Work out -167 - -0.0177857987. -166.9822142013 What is -22936177756 - 1875? -22936179631 Add -28 and -7188116004. -7188116032 -7638214467773+-0.1 -7638214467773.1 Work out 2969395 + -170295. 2799100 Add 109.077 and 0.0204753. 109.0974753 16325558 + -9.233 16325548.767 What is 2526259741 take away -22? 2526259763 What is -0.1484135 minus 92365? -92365.1484135 What is 0.2 + -67198167310605? -67198167310604.8 Add together -6387655369.94 and 0.3. -6387655369.64 -335938111742 + -0.4 -335938111742.4 What is 10 less than 4359761190.19? 4359761180.19 What is 71 plus -0.32747654194? 70.67252345806 What is -0.071086 less than -0.05780447? 0.01328153 What is the distance between -4818632 and -12929124? 8110492 Work out -45.8 - -25.0688671. -20.7311329 Subtract 17805334 from -12715395. -30520729 What is 1357873 plus -185693? 1172180 Work out -0.1005 - -4710.9029. 4710.8024 Calculate -0.06 + 7342382999088. 7342382999087.94 Subtract -1685969 from 9945271. 11631240 What is -69961.7241701 take away 0.9? -69962.6241701 What is -25.7927149 - -0.235? -25.5577149 What is -335814.585 minus -526? -335288.585 -0.8 + -135848637050 -135848637050.8 What is the distance between -2.5 and 2067033709.83? 2067033712.33 Put together 4056163438 and 327. 4056163765 What is 899 - 1336377844? -1336376945 What is the difference between -3.975453 and -44.45546? 40.480007 Calculate 7003 + -13969724.6. -13962721.6 Work out -1607056522 - -14875.6. -1607041646.4 What is -130325811252 plus 71? -130325811181 Add together -0.038324 and -0.32195807. -0.36028207 What is the difference between -9 and -11027165.972? 11027156.972 0.03 + -2485804314.1 -2485804314.07 Work out -0.24 - 1252542755671. -1252542755671.24 Work out 162 + -2892537831. -2892537669 What is 2207882642 minus -565? 2207883207 Work out 72.273272 - -11285. 11357.273272 What is the distance between -923720.623 and 34716? 958436.623 Calculate -5180994978 - -67700. -5180927278 What is 1922883844471 less than 0.053? -1922883844470.947 Add together -493.65 and -0.2240125. -493.8740125 Sum -1.556888 and -1159.2259. -1160.782788 What is the distance between 18617336 and 3608773? 15008563 Work out 22584548 + -126147.6. 22458400.4 Total of 13485109 and 2046134. 15531243 What is -4.31152281309 - 0? -4.31152281309 Work out 0.05 - 4216004738851. -4216004738850.95 What is 1027546391 plus 3.1812? 1027546394.1812 Add -151080.0626 and 2280. -148800.0626 What is 49.06 plus 1101228234? 1101228283.06 Put together -0.1117 and -6545516. -6545516.1117 What is the difference between -4.60045 and 4.3801551? 8.9806051 Work out 0.5 + 318117388850. 318117388850.5 Add together 0.052701169 and -0.03493. 0.017771169 What is -146 take away 122658011? -122658157 -13848.46 + -757392 -771240.46 What is the difference between 151806240063939 and -0.2? 151806240063939.2 Total of 1.4689074301933 and 0.1. 1.5689074301933 13.4006 + -1.4110037 11.9895963 Work out 1559 - 549768887. -549767328 Sum -11 and -112.613268828. -123.613268828 What is -1818504188907 plus -0.5? -1818504188907.5 What is the distance between 12.8 and -1.4677470447? 14.2677470447 What is -1.35419717484 minus 0.07? -1.42419717484 Work out -344591209.38352 + -2. -344591211.38352 Total of 124.0376070986 and 7.1. 131.1376070986 Total of 989570.5 and -5380396. -4390825.5 Add 18713370762 and -0.125. 18713370761.875 Put together -9937692654 and 28. -9937692626 What is -10.16 + -1340633? -1340643.16 Put together -18811 and -16101843225. -16101862036 Work out -2.042758562566 - 8. -10.042758562566 Add -1018961639 and -349. -1018961988 What is -115467438 - -0.01229? -115467437.98771 Put together 4.4213536 and 208585. 208589.4213536 Add -284.702 and 9.014882. -275.687118 What is -4.28 take away 16736434? -16736438.28 Total of 4915586516 and -113.707. 4915586402.293 Add 34168 and 63834.886. 98002.886 Calculate 0.1 + -0.05871027102294. 0.04128972897706 Work out 162 - 2.6197274009. 159.3802725991 Subtract -3.9 from -7847789777. -7847789773.1 Subtract 3810.025 from -1231.931. -5041.956 -14653061318272.1+-2 -14653061318274.1 Work out -0.2719819118 - 0.28. -0.5519819118 35.1789 - -273795 273830.1789 Subtract 24.226559320662 from -0.7. -24.926559320662 Put together -1143134.81 and -3441. -1146575.81 What is -2.82216785 - 2397.97? -2400.79216785 What is the distance between -3830040261 and -0.7653? 3830040260.2347 Put together -6 and 1531803.0620318. 1531797.0620318 0.09 + 3.49312027632 3.58312027632 Calculate 0.12715838658 + 79151. 79151.12715838658 Work out 0.7 + 32.062554724. 32.762554724 Calculate -2015 - 108650570. -108652585 What is 4904319363281 take away -0.12? 4904319363281.12 What is 266 less than -0.1126236175? -266.1126236175 Work out 24190 + 2328595101. 2328619291 What is 0.212 minus -87.5649934892? 87.7769934892 -1799+-162323495 -162325294 Work out -11.507 + -0.70130172. -12.20830172 -7 - -2145348573649 2145348573642 What is -28843669318153 plus 2? -28843669318151 1914788668 + -0.054 1914788667.946 Work out 0.65 - 91498269.4739. -91498268.8239 Add -653 and -3031882942. -3031883595 What is 0 plus 32.8158352037? 32.8158352037 What is the distance between -484.467334 and -57? 427.467334 Calculate -29622885 - 1.142. -29622886.142 What is -1203914424 - -178911? -1203735513 Sum 571158520 and 486. 571159006 What is 0.0094 minus 793924025? -793924024.9906 What is 82.072 minus 222.905133? -140.833133 Work out -554595 - 12010.785. -566605.785 What is the difference between -3038131.61694 and 1? 3038132.61694 1 + 7.5063086975 8.5063086975 What is 600550 + 798643.33? 1399193.33 What is -7895476.9 take away 519345? -8414821.9 What is -3960.28 less than 405433? 409393.28 What is 22891.371737888 take away 8? 22883.371737888 What is the difference between -20.851985 and -1545538? 1545517.148015 -16.7970037656 + -8 -24.7970037656 Work out 361888.1 + 957.4. 362845.5 Subtract -1216947 from 23370. 1240317 What is -1 take away 182612434642? -182612434643 What is -0.13905613 take away 15275? -15275.13905613 What is the difference between 3684785800.5 and -0.148? 3684785800.648 Add together -0.23 and -469520731290. -469520731290.23 Work out -0.3 - -13139224798695. 13139224798694.7 What is 0.0422 less than -7280252681? -7280252681.0422 Add 265 and 6.796314341. 271.796314341 What is -506327539455 - -5? -506327539450 Total of 0.1 and -26164471114064. -26164471114063.9 Add together -987272.625258 and 11. -987261.625258 Subtract 0.8405589042 from 0.1. -0.7405589042 -22470514.4 + -1279 -22471793.4 Calculate -2190204900944 + 0.3. -2190204900943.7 Put together -1.610166 and 0.03489488. -1.57527112 What is the distance between 0.6 and -351316745.23? 351316745.83 Work out -17565261 - 11.81. -17565272.81 What is the difference between 8875651251414 and 0.1? 8875651251413.9 What is -11.02 less than -412242001? -412241989.98 What is -1320666 minus -1529.07? -1319136.93 What is -0.0466341885703 - 0? -0.0466341885703 Work out 0 + -2736619153. -2736619153 What is 1.5096 less than -3934298.3? -3934299.8096 Sum 0.745115 and 0.0808858. 0.8260008 What is the difference between 168.156752 and -705413? 705581.156752 -23 + 8.49574601619 -14.50425398381 Work out 2.44071 - 508415. -508412.55929 What is 0.175 plus -487083856? -487083855.825 What is -56.13 plus -0.6951886825? -56.8251886825 Subtract 320.705 from 31909269. 31908948.295 Total of 7020 and 20589895.8. 20596915.8 -141810626118507 - 0.4 -141810626118507.4 Calculate 15 - -835018803.16126. 835018818.16126 Calculate -44723.2 - -27.659165. -44695.540835 Add -0.05955 and 1245892764. 1245892763.94045 Subtract -8 from -358137958.17. -35813
{ "pile_set_name": "DM Mathematics" }
ive prob of sequence pyy. 15/286 What is prob of sequence ml when two letters picked without replacement from mqlm? 1/6 Calculate prob of sequence dtrt when four letters picked without replacement from {t: 8, d: 2, g: 5, r: 1}. 1/390 Calculate prob of sequence mrlr when four letters picked without replacement from lrrmm. 1/30 Four letters picked without replacement from {y: 6, v: 4}. Give prob of sequence yyvv. 1/14 What is prob of sequence dt when two letters picked without replacement from dgeqdtd? 1/14 Calculate prob of sequence oq when two letters picked without replacement from ssosqkozoz. 1/30 Two letters picked without replacement from kvkvkkkkkvkvkvkvvvvk. Give prob of sequence vk. 99/380 Calculate prob of sequence cccp when four letters picked without replacement from {r: 1, x: 1, i: 7, p: 2, c: 3}. 1/2002 What is prob of sequence le when two letters picked without replacement from nhlenefnehhjjhfl? 1/40 Calculate prob of sequence wm when two letters picked without replacement from {m: 2, w: 7}. 7/36 What is prob of sequence uorm when four letters picked without replacement from {y: 2, u: 1, q: 2, o: 1, r: 1, m: 1}? 1/1680 Two letters picked without replacement from {v: 1, u: 8, l: 1, j: 7}. What is prob of sequence uv? 1/34 Two letters picked without replacement from zzzzzzzlzzzz. Give prob of sequence zz. 5/6 Calculate prob of sequence jicd when four letters picked without replacement from odcoijddzzzczdz. 1/4095 Two letters picked without replacement from nnjnnnjunnnnnn. Give prob of sequence un. 11/182 Two letters picked without replacement from lkkllnkn. Give prob of sequence kl. 9/56 Two letters picked without replacement from jhhujjuhjhsuajhuzuhj. Give prob of sequence ah. 3/190 Calculate prob of sequence ett when three letters picked without replacement from tetttttttete. 9/55 Two letters picked without replacement from {w: 3, q: 1, j: 1, a: 3, r: 3, b: 4}. Give prob of sequence bb. 2/35 Calculate prob of sequence fsbx when four letters picked without replacement from fxbsssfsbsss. 7/2970 Two letters picked without replacement from {v: 3}. Give prob of sequence vv. 1 Four letters picked without replacement from pppppppppppbbpbpbp. Give prob of sequence ppbb. 91/3060 What is prob of sequence cu when two letters picked without replacement from uccgazy? 1/21 Two letters picked without replacement from {e: 12, t: 3}. What is prob of sequence tt? 1/35 What is prob of sequence shs when three letters picked without replacement from saaahsaasasaahsssss? 8/323 What is prob of sequence qc when two letters picked without replacement from qcc? 1/3 Four letters picked without replacement from zzfumufumummzffuuwu. Give prob of sequence zwuf. 7/7752 Four letters picked without replacement from clggcggsxgcsi. What is prob of sequence xssg? 1/1716 What is prob of sequence vjjp when four letters picked without replacement from vjyyjfyvzjp? 1/660 Calculate prob of sequence ggr when three letters picked without replacement from {t: 5, g: 2, r: 2}. 1/126 What is prob of sequence duf when three letters picked without replacement from {q: 3, f: 3, u: 4, d: 3, e: 7}? 1/190 Three letters picked without replacement from araaqaarwpqra. Give prob of sequence rap. 3/286 Calculate prob of sequence bu when two letters picked without replacement from juxdubbjuuj. 4/55 Calculate prob of sequence tnqn when four letters picked without replacement from {s: 1, t: 2, q: 4, h: 1, n: 1, r: 6}. 0 Three letters picked without replacement from vvcovrorvovrccrvr. What is prob of sequence ovv? 3/136 What is prob of sequence iovs when four letters picked without replacement from sossossasvsavid? 1/1170 Four letters picked without replacement from hzzhzhxxxxxxxxxz. What is prob of sequence xhzx? 9/455 Two letters picked without replacement from {z: 3, l: 6, n: 1, d: 1, j: 4, q: 3}. What is prob of sequence zn? 1/102 Calculate prob of sequence og when two letters picked without replacement from {h: 1, u: 1, o: 1, y: 1, g: 3}. 1/14 What is prob of sequence hpm when three letters picked without replacement from {s: 1, b: 1, p: 3, h: 3, m: 5}? 15/572 Three letters picked without replacement from {f: 3, a: 13, r: 1, k: 2}. What is prob of sequence aak? 52/969 Calculate prob of sequence uzs when three letters picked without replacement from {l: 1, u: 1, q: 3, z: 6, s: 2}. 1/143 Two letters picked without replacement from isll. Give prob of sequence si. 1/12 Calculate prob of sequence uou when three letters picked without replacement from {o: 1, q: 1, z: 1, j: 1, u: 1}. 0 Four letters picked without replacement from bbbusssss. What is prob of sequence sbus? 5/252 What is prob of sequence adu when three letters picked without replacement from {v: 1, d: 1, u: 2, i: 2, a: 1}? 1/105 What is prob of sequence vyvv when four letters picked without replacement from vvvyvvyvvv? 2/15 Calculate prob of sequence euud when four letters picked without replacement from {u: 6, e: 3, d: 4, l: 1, k: 2}. 3/364 What is prob of sequence fuuf when four letters picked without replacement from {u: 7, f: 7}? 21/286 Calculate prob of sequence dxxx when four letters picked without replacement from xddsxdxd. 1/70 Three letters picked without replacement from wwtwwvwwwvwvwvvvvvv. What is prob of sequence vvv? 28/323 What is prob of sequence no when two letters picked without replacement from ooioikfokiknnofn? 1/16 What is prob of sequence cpcf when four letters picked without replacement from {g: 1, f: 1, c: 2, w: 2, p: 1}? 1/420 Three letters picked without replacement from {e: 1, x: 3, o: 6, u: 3, j: 3, s: 1}. What is prob of sequence oxe? 3/680 Two letters picked without replacement from qrqrqrqqqryqqnqr. What is prob of sequence nr? 1/48 Three letters picked without replacement from {w: 1, c: 2, f: 6, x: 3, y: 3}. What is prob of sequence wfc? 2/455 Three letters picked without replacement from mteshdt. Give prob of sequence hts. 1/105 Three letters picked without replacement from {o: 4, t: 11, g: 1, b: 3}. What is prob of sequence bgb? 1/969 Calculate prob of sequence ssss when four letters picked without replacement from {b: 1, m: 3, w: 1, f: 1, s: 6}. 1/33 Calculate prob of sequence ry when two letters picked without replacement from {t: 2, h: 2, q: 1, r: 1, y: 2}. 1/28 Four letters picked without replacement from {e: 17, g: 2}. Give prob of sequence eeee. 35/57 Two letters picked without replacement from {a: 1, y: 1, g: 4, t: 7}. What is prob of sequence ay? 1/156 Four letters picked without replacement from {z: 3, e: 1, i: 5, w: 3}. What is prob of sequence iizi? 1/66 What is prob of sequence png when three letters picked without replacement from nvvnayyygppvpn? 3/728 Four letters picked without replacement from fxnnxxnfnxnxunnxff. What is prob of sequence uxfx? 1/612 What is prob of sequence hp when two letters picked without replacement from hhhphhphphllpph? 4/21 Four letters picked without replacement from {g: 1, u: 1, m: 3, i: 5}. What is prob of sequence imgm? 1/168 What is prob of sequence rr when two letters picked without replacement from {r: 7, t: 8, h: 5}? 21/190 Calculate prob of sequence tuvr when four letters picked without replacement from {u: 9, h: 2, t: 5, r: 2, v: 2}. 1/646 What is prob of sequence rb when two letters picked without replacement from rmrrrrryrebmrrp? 3/70 What is prob of sequence omo when three letters picked without replacement from tmotmmlltmtmotttttto? 1/228 Two letters picked without replacement from {o: 13, a: 6}. Give prob of sequence oa. 13/57 Four letters picked without replacement from {w: 1, n: 1, t: 2, l: 1, x: 1, c: 1}. Give prob of sequence tltw. 1/420 Calculate prob of sequence gooo when four letters picked without replacement from oggoog. 1/20 What is prob of sequence xb when two letters picked without replacement from {y: 2, x: 1, v: 5, c: 3, b: 7}? 7/306 Two letters picked without replacement from {x: 1, r: 1, o: 1, p: 2}. What is prob of sequence pp? 1/10 What is prob of sequence dd when two letters picked without replacement from dddd? 1 Calculate prob of sequence zzez when four letters picked without replacement from zzzzezzzezzzzze. 11/91 Three letters picked without replacement from {y: 2, p: 2, g: 2, d: 1, h: 1, w: 1}. Give prob of sequenc
{ "pile_set_name": "DM Mathematics" }
n. -1 Let p = 1212 - 1192. Solve 6*l = 2*l - p for l. -5 Let z = -23 + 26. Let x be 20/(z - (-4 + 5)). Solve 2*v - x = -3*v for v. 2 Let a = -583 - -583. Solve -2*n + 6*n + 4 = a for n. -1 Let j be 5 + 1 - (5 + -4). Suppose 0 = -j*a + 5*x - 0 - 15, 5*a = 2*x. Solve a*q - 4*q - 4 = 0 for q. -2 Let u(r) = r**2 + 2*r - 9. Let y be u(2). Let q be 120/32 + y/(-4). Solve -w + q*w = 12 for w. 4 Let g(q) be the first derivative of -q**2/2 + 7*q - 1. Let w be g(7). Suppose u + 4*k - 5*k + 1 = 0, u = 5*k - 13. Solve u*r = -w*r for r. 0 Let d(j) = -j**3 + 8*j**2 - 6*j - 4. Let k be d(7). Let a = -3 + k. Suppose a = -g - 4 + 7. Solve -4*n + g - 7 = 0 for n. -1 Let p be (-4)/(-22) + (-42)/(-11). Let v(c) = c**2 - 3*c - 2. Let y be v(p). Let j = 8 + -3. Solve 0 = 7*o - y*o - j for o. 1 Suppose -140 = -0*j + 5*j. Let n be (-154)/(-30) - j/(-210). Suppose 4 = -2*p - n*w - 11, 4*w = 5*p - 45. Solve -2*i = -i + p for i. -5 Suppose v + 4*v + 260 = 0. Let l = 97 + v. Let n be ((-1)/(-3))/(3/l). Solve n*i - 8 - 12 = 0 for i. 4 Let c(l) = l**2 + l - 8. Let a be c(-4). Let r be 0*((-14)/(-4) - a). Suppose r = -3*w + 12, -j - 4*w = -0*w - 18. Solve 4*m - 4 = j*m for m. 2 Let w(z) = -z**2 - 25*z. Suppose a + 3*d = 3*a + 53, 4*a - 4*d + 104 = 0. Let i be w(a). Solve i = 6*v - v - 5 for v. 1 Let x(j) = 3*j - 21. Suppose 9*v - 56 = 2*v. Let p be x(v). Solve -p*w + 0*w = 3 for w. -1 Let a(o) = 2*o**2 + 19*o + 14. Let k be a(-11). Solve k*j - 44*j = 0 for j. 0 Let w be (-50)/(-20) - (-2)/4. Suppose w*s + 26 = 2*y, -4*y + 54 = -y + 3*s. Let z = y + -13. Solve 2*f = -z*f - 5 for f. -1 Let f be (9 - 225/18)/((-2)/12). Solve 7*c + 7 + f = 0 for c. -4 Let i be (78/468)/((-1)/(-12)). Let v(j) = 10*j - 2 - j**2 - 4*j - 3. Let o be v(5). Solve o = y - i*y + 2 for y. 2 Let k = 886 + -786. Solve -99*h - 4 = -k*h for h. 4 Let d = 0 - -3. Suppose 18 = 2*y - 6. Let r be 2*2/y*6. Solve -r*f - d*f = 0 for f. 0 Let f(r) = r**2 - 27*r - 25. Let x(v) = -v + 1. Let h(y) = -f(y) + 2*x(y). Let p be h(26). Solve 2 = m + p for m. 1 Let g = 32 - 22. Let o be (0 + -1)/(6/(-72)*4). Solve o*i = 4 - g for i. -2 Suppose 91 = 12*q - 89. Solve p = -2*p + q for p. 5 Let m(n) = -n**2 - 18*n - 53. Let k be m(-5). Solve k*l - 2 = 10*l for l. 1 Let n(w) = -2*w**3 - 22*w**2 + 23*w - 6. Let i be n(-12). Let q be 12/(-30) - 22/(-5). Solve -i*j + q = -2*j for j. 1 Let y(r) be the second derivative of r**3/3 + 8*r**2 + 19*r. Let s be y(-8). Solve 2*n - 3 + 9 = s for n. -3 Let c(r) = -2*r**3 - 21*r**2 - 17*r - 2. Let l(g) = -3*g**3 - 31*g**2 - 25*g - 3. Let v(a) = 7*c(a) - 5*l(a). Let p be v(-7). Solve -3*t + p = -4 for t. 4 Let j(f) = -f**2 + 15*f + 2. Suppose -15 = 21*a - 22*a. Let l be j(a). Solve 4*r - l*r - 6 = 0 for r. 3 Suppose -63 = 8*n - 255. Let v be -4*(-6)/4*16/n. Solve -3 + v = -m for m. -1 Suppose 4*h - 38 = -15*h. Solve h*t - 12 = -t for t. 4 Let k(h) = -h**2 - 7*h - 4. Let n(q) = q**2 + 9*q + 2. Let b be n(-8). Let x be k(b). Let u be 1 + 5 + (x - 5). Solve -u*y = 2*y + 5 for y. -1 Let k be (2/(-16)*-2)/((-1)/(-4)). Let a(n) = 8*n - 2. Let m be a(k). Solve -m = -4*f + 6*f for f. -3 Let a(p) = 6*p**2 + 10*p + 5. Let w(q) = -5*q**2 - 9*q - 4. Let t(k) = 4*a(k) + 5*w(k). Suppose -10*r + r = 45. Let j be t(r). Solve j = -h - h - 10 for h. -5 Let c(t) = -t**3 - 12*t**2 + 42*t - 37. Let i be c(-15). Solve -i = 3*q + 1 for q. -3 Suppose -2*y = -2*t - 46, t = 3 - 0. Let r = y - 21. Suppose -20 = -r*i, c + 2*i = i + 27. Solve -3 = 4*n - c for n. 5 Let j(c) be the second derivative of -c**4/12 - c**3/2 + 6*c**2 - 7*c. Let b be j(-6). Let d be 2*1/b*-9. Solve -20 = d*h + h for h. -5 Let f be (6/(-7))/(82/(-287)) - 1. Solve i - f*i = 2*i for i. 0 Suppose 22 = 5*b + 7. Suppose 2*i - 10 = -3*v + 4, i + b*v - 10 = 0. Solve 0 = c + i*c - 25 for c. 5 Suppose 2*w - 6 = w - 4*o, -4*o + 36 = 4*w. Suppose 7 = w*i - 3*i. Let y be (6/(-18))/(i/(-15)). Solve 0 = -y*s - 21 + 1 for s. -4 Suppose -85 = 4*g - 93. Solve q + g = 1 for q. -1 Let q(u) = 2*u**2 + 2*u - 3. Let m be q(-3). Let s = m + -7. Solve -i - 3 = s for i. -5 Suppose 18 = 569*t - 563*t. Solve 0*g + 9 = t*g for g. 3 Suppose 12 = -12*c + 16*c. Solve 0 = c*j - 2 - 13 for j. 5 Let y be 2*(6 + -2 - -4). Let l = 3 + -7. Let o = y + l. Solve 2*p = -p + o for p. 4 Let d = -2306 + 2325. Solve -d*w + 0*w = 0 for w. 0 Let f(o) = o**2 - 3*o + 4. Let n be f(3). Suppose -4*y + n = -6*y. Let g(z) = -4*z - 7. Let d be g(y). Solve 3*x - 4*x + d = 0 for x. 1 Let p(y) = 24*y - 148. Let h be p(7). Solve 46 = -h*b + 6 for b. -2 Suppose 5*b = -5*p + 15, 4*b + 0*p + 5*p - 15 = 0. Let f be -4 + (8 - 1) + b. Solve 8 = -f*o - 7 for o. -5 Suppose 4*u - 31 = 3*v, 0*u - 2*u + v + 17 = 0. Let l(q) = -q**2 + 12*q - 14. Let g be l(u). Suppose 0 = g*p - 4*p - 4. Solve -3*a + p*a + 1 = 0 for a. 1 Suppose -20 + 0 = -5*b. Let t be 8/(-4) + b + 1. Solve 3*v = 6*v + t for v. -1 Let r be -4 - (35 - -5)*(-2)/5. Solve 4*n - r = -0*n for n. 3 Let u(r) = r**2 - 16*r + 28. Suppose 13*f = 14*f - 14. Let y be u(f). Solve y = 2*z + 3*z - 5 for z. 1 Suppose -i = -3*p + 6*p - 21, -p - 5*i = 7. Solve -13*z = -p*z + 5 for z. -1 Let i be 32*(9/2)/9. Suppose 6*k - 2*k - i = 0. Solve -3*r = -r - k for r. 2 Let h be (3/9)/(1/(-51)). Let o = h + 20. Solve -5*a = -o*a for a. 0 Let s(p) = 3*p + 98. Let h be s(-14). Solve 0 = x + 52 - h for x. 4 Suppose -18*w = -w + 34. Let j be 5 - ((-6 - w) + 5). Solve 3*v - 2*v + j = 0 for v. -4 Let h = 1119 - 1114. Solve -h = -12*w + 17*w for w. -1 Let l = -49 + 51. Let k(b) = -b**3 - 5*b**2 - 3*b + 4. Let r be k(-4). Suppose r*j + 10 = j. Solve -3*a - l - j = 0 for a. -4 Let c be (1 - -3) + 1 + 0. Suppose c*g - 30 = h, -g + 15 = -3*h + h. Suppose -6*x + x = -4*n + 28, 22 = n - g*x. Solve -7 = -i - n for i. 5 Let a(f) = -2 + 16 + 13*f + f**2 - 21*f. Let p be a(6). Solve p*w + 15 = 5 for w. -5 Let y be (-32)/24*(-6)/4. Suppose 0 = -5*p + 2*w - 4*w + 14, p - y*w = -2. Solve r + 4 = p*r for r. 4 Let b(i) = -3*i**2 + 13*i - 9. Let m(h) = 16*h**2 - 66*h + 45. Let s(w) = 11*b(w) + 2*m(w). Let u be s(6). Suppose -24 - 8 = -8*j. Solve -u + 5 = j*l for l. -4 Let w be 0/2*1/(-2). Suppose -4*u = 0, 0 = -3*r - r + 5*u + 8. Solve w = r*l + l for l. 0 Let i be (-3)/(-12) - 87/12. Let d be (i + 7)/(4/2). Suppose d = 5*k + 15 - 45. Solve -3*u + 0 = k for u. -2 Let m be 17/(-17) - -1*3 - -4. Solve z - 10 = -m for z. 4 Suppose 4*j - 2*p + 16 = 5*j, 0 = -2*j - 3*p + 27. Let s(x) = -x. Let a be s(-4). Solve a*n - n = -j for n. -2 Let v be 7 - (4 + -1 + -2). Let u = v - -2. Suppose -3*s - 2*x - 6 = -6*x, -4*x + 8 = -2*s. Solve -4*b - u = -s*b for b. -4 Suppose 2*v + 20 = -4*d, 8*d = -v + 10*d - 18. Let l be (-30)/(-105) - 52/v. Solve l*k - 10 = -k for k. 2 Suppose 7*v = 19*v - 84. Suppose v*o = 16*o - 36. Solve o*w + 20 = -0 for w. -5 Let r = 181 - 169. Solve r = -3*z + 24 for z. 4 Suppose 2*m + m = 0. Suppose 5 = b + 7. Let f(t) = -t**3 - t**2 - 3*t - 5. Let x be f(b). Solve 0 = 5*l - m*l + x for l. -1 Suppose 1602*l - 1589*l - 169 = 0. Solve l*u - 6 = 20 for u. 2 Let g(n) = -25*n**2 - 3*n + 2. Let m be g(1). Let c = m + 31. Solve -c*p = -p for p. 0 Suppose -3*b - 80 = 5*m + b, 0 = -2*b. Let g = m + 16. Solve -2*w + 2 = -g*w for w. 1 Suppose -21 = -3*v, -3*c - 37*v - 8 = -39*v. Let r(j) = j**3 + 2*j**2. Let n be r(-2). Suppose n*t = t - 4. Solve -t*y = 10 - c for y. -2 Let x = -61 + 63. Solve -1 - 3 = x*y for y. -2 Let x(m) = m + 8. Let w be x(-2). Solve 14 = 4*v - w for v. 5 Let t(c) = -3*c**2 - 4*c + 1. Let k(a) = 4*a**2 + 6*a - 2. Let b(m) = -5*k(m) - 7*t(m). Let y be b(1). Solve 3*n + y*n = 15 for n. 3 Let r = 82 + -79. Let k be (-120)/(-16)*2/3. Solve 0 = -k*s - r - 2 for s. -1 Let f = -8 - -11. Suppose 18 = f*q - 0. Let s be q*(-4)/6 + 4. Solve -j + s*j + 1 = 0 for j. 1 Let d(r) = r**2 - r - 7. Let s be d(-3). Suppose -5*n - 18 + s = 3*w, -5*w = 4*n. Let l = w + -2. Solve -y = -l*y + 2 for y. 2 Let d = -372 + 375. Solve -d*i + 3 = 12 for i. -3 Let t = -33 - -51. Let k = t + -13. Suppose -j = -17 + k. Solve 0*b - 4*b = -j for b. 3 Suppose -81*g = -1961 + 98. Solve -7*w + 9 = g for w. -2 Let o = 609 + -586. Solve -o = 16*v - 103 for v. 5 Suppose 16 = 9*d - 5*d. Suppose -3 = -2*o + o. Suppose 0*m = o*m. Solve m = -2*y + d*y - 8 for y. 4 Let q(w) = -w**3 + 8*w**2 - 6*w + 3. Let m be q(7). Let
{ "pile_set_name": "DM Mathematics" }
ainder when q is divided by 17. 10 Let a be (-12514)/(-30) - (-8 - (-732)/90). Let z = a - 304. What is the remainder when z is divided by 46? 21 Let a = 13819 + -13752. Calculate the remainder when 384 is divided by a. 49 Let l = 8 - 1. Let z(q) = 60*q - 66. Let x be z(8). Calculate the remainder when (-2)/(-3) - x/(-27) is divided by l. 2 Let f be (-4)/30 + (-7 - 308/(-60)). Let b = -100 - -154. Calculate the remainder when b is divided by (19/f)/(2/(-4)). 16 Let q = 1419 + -1376. Let o = -50 + 62. Calculate the remainder when q is divided by o. 7 Suppose 1374*g + 246984 = 1497*g. What is the remainder when g is divided by 666? 10 Suppose 3*z - 2*u = 2995 + 389, 2*z + 5*u - 2237 = 0. What is the remainder when z is divided by 27? 19 Suppose 5*d - 4*y = 362 + 324, 279 = 2*d + 3*y. What is the remainder when d is divided by 69? 0 Let a = -32129 - -32249. Calculate the remainder when 1560 is divided by a. 0 What is the remainder when 1475 is divided by (-13 - -7)/((-16)/136)? 47 Suppose -q + 50 + 13 = 0. Suppose 102*n + 579 - 2823 = 0. Calculate the remainder when q is divided by n. 19 Let a(b) = 2*b**2 + 7*b + 4. Let c be a(4). Let x = -8 + c. Let r(d) = -d**3 + 6*d + 6. What is the remainder when x is divided by r(-3)? 11 Let p(m) = 4*m + 10. Let j be p(-4). Let f(w) = -8*w + 14. What is the remainder when f(j) is divided by 15? 2 What is the remainder when 245 is divided by 142/8 - (22/(-165) + (-56)/480)? 11 Let n = -199 - -335. Let t(p) = -12*p**2 + 11*p + 18*p**2 - 7*p**2 + 5. Calculate the remainder when n is divided by t(9). 21 Let w(x) = -x**3 - 9*x**2 - 17*x - 17. Let h be w(-7). Let m = 22 - h. Suppose 0 = -3*c - 0*c + m. What is the remainder when 9 is divided by c? 3 Calculate the remainder when (5312/(-14) + (-25)/350)*-8 is divided by 169. 163 Let g(k) = 4*k - 51. Suppose 112 + 168 = 2*l. What is the remainder when l is divided by g(16)? 10 Let m = -147 + 149. Calculate the remainder when (-8)/(-16) - (-55)/2 is divided by m - (1 + -14)/(-3 - -4). 13 Let o = 29 - -86. Let x = -31 - -35. Suppose 4*z + 4*u - 97 - 55 = 0, x*z - 5*u - 161 = 0. Calculate the remainder when o is divided by z. 37 Calculate the remainder when 4666/8 + (-73)/292 is divided by 83. 2 Let c = -17411 - -17530. Calculate the remainder when c is divided by 56. 7 Suppose n - 244 = -5*l + 287, -3*l = 5*n - 301. What is the remainder when 208 is divided by l? 101 Suppose 0 = -m + 5*b + 174, -2*m + 3*m - b - 170 = 0. What is the remainder when m is divided by 130/(-182) + 2604/147? 16 Let k(a) = 41 + 5*a**2 - 7*a + 15*a**2 - 27*a + 14*a - a**3. What is the remainder when k(19) is divided by 20? 2 Let f = 38 - 27. Let j(s) = 42*s**3 - 4*s**2 - s. Let w be j(-1). Calculate the remainder when (-213)/w*9 - 2/(-5) is divided by f. 10 Let w = -27208 - -48375. Calculate the remainder when w is divided by 14. 13 Let s(o) = 30 + o**3 - 15*o**2 + 12*o + 5*o**2 - 3 - 2*o**3. Let l be s(-11). Let k = 21 + l. Calculate the remainder when k is divided by 20. 17 Suppose 0 = -89*b + 86*b + 36. Let d(o) = -5*o**3 - b + 4*o**3 - o + 5*o**2 - 8*o**2. Calculate the remainder when 23 is divided by d(-4). 7 Suppose 0 = 4*x + 4*o - 6736, 0 = -x - 3*x + 3*o + 6701. What is the remainder when x is divided by 112? 111 Suppose -z = 3*z - 44. Suppose 5*a - 67 = -2*w, -3*w = -34*a + 29*a + 62. What is the remainder when z + -3 + (-18)/(-3) is divided by a? 1 Suppose 19*m - 22*m - 4*s + 232 = 0, -227 = -3*m - 5*s. Calculate the remainder when 86/6 + (-4)/(-6) is divided by ((m/10)/(-7))/(4/(-30)). 6 Suppose 0 = j - 18 + 3. Suppose 0 = -49*y + 15*y - 209*y + 17010. Calculate the remainder when y is divided by j. 10 Suppose 4*a - 4127 = 3*d, -2*d - 596 = -a + 432. Suppose 0 = 8*w - 934 - a. What is the remainder when w is divided by 13? 12 Let m be (2/6)/(28/336). Suppose -f - m*b + 6*b + 34 = 0, 3*f - 66 = -3*b. What is the remainder when 90 is divided by f? 12 Calculate the remainder when 324 is divided by (-8 - (-7 + (-3)/6))*-230. 94 Let w be ((-21)/14)/(9/(-84)). Suppose -w*l - 31 = -1109. What is the remainder when 226 is divided by l? 72 Let y be (-2)/10 - (7/(-35) + 0). Suppose y = v + a - 12, -4*a - 36 = -3*v - 8*a. Let w = 173 + -90. What is the remainder when w is divided by v? 11 Let y(d) = d**3 - 2*d**2 + 3*d - 30. Calculate the remainder when y(5) is divided by 5. 0 Suppose -2708*d + 2560*d + 13172 = 0. Calculate the remainder when 316 is divided by d. 49 What is the remainder when 1900 is divided by (23/(-23) - 11/(-3))*33? 52 What is the remainder when 288 is divided by (-774)/(-4) - 30/140*7? 96 Let a(t) = 1435*t. Let c be a(-9). Calculate the remainder when c/(-60) + 0 + (-3)/12 is divided by 31. 29 Suppose -i + 2*i = 5*j - 797, 2*i + 154 = j. Let q = -46 + -27. Let s = q + j. Calculate the remainder when s is divided by 15. 12 Suppose 0 = 35*g - 5763 + 1633. Calculate the remainder when 300 is divided by g. 64 Let g(o) = 2*o**2 - 56*o + 299. What is the remainder when g(29) is divided by 33? 27 Suppose 112*j = 114*j - 3*y - 25, -3*j = -4*y - 35. Calculate the remainder when 486 is divided by j. 1 Suppose -q - 4*q = 4*k - 22, -k = -3. Let n = -480 - -444. Calculate the remainder when 50 is divided by (-3)/(n/(-52))*(q + -5). 11 Let b(v) = 10 - 16 + 54 - 16*v + 5. Calculate the remainder when b(-7) is divided by 28. 25 Suppose 3*h + 5 = -4*i - i, 0 = -i - 3*h - 13. Suppose 18 = i*c - 0. Calculate the remainder when c is divided by (5/(-2))/(8/(-16)). 4 Let u be (-9890)/23*(1 + 6/(-4)). Let m = u - 198. Calculate the remainder when 48 is divided by m. 14 Suppose 3*g = -323 + 2996. What is the remainder when g is divided by 149? 146 Let b = -6409 + 7748. Calculate the remainder when b is divided by 10. 9 Suppose 6 - 10 = -2*g. Let x(a) = -a**3 - g*a - 10*a - 2*a - 8 + 11*a**2. Calculate the remainder when x(6) is divided by 13. 10 Let m(h) = -h**3 + 4*h**2 + 11*h - 18. Let b be m(6). Calculate the remainder when 70 is divided by 18/(-8)*(20 + b). 7 Suppose -5*m - 4*f + 2*f + 931 = 0, -5*m + 3*f = -941. Let d = m - 53. Suppose -126 = -3*p - 24. Calculate the remainder when d is divided by p. 32 Suppose 8*c - 61 - 35 = 0. Let l be (9 + 1)/(0 - -1). Calculate the remainder when (c/l)/((-33)/(-220)) is divided by 3. 2 Let t be (-1)/(1*(-1)/84). Let s = 128 - 113. Suppose -s*z + t = -13*z. What is the remainder when 80 is divided by z? 38 Let y(t) = -21*t + 3807. Calculate the remainder when 7152 is divided by y(68). 15 Let a(f) = 2*f**3 - 12*f**2 + 28*f - 55. Calculate the remainder when a(7) is divided by 9. 5 Suppose 6 - 5 = -2*n - 5*r, -5*n + 4*r = -14. Let k be 12/(4 + -1) - n. Suppose 13*a - 495 = -k*a. What is the remainder when a is divided by 13? 7 Calculate the remainder when 18/117 - 57/(-52) - 1694/(-8) is divided by 124. 89 Let f = 39116 - 39102. What is the remainder when 2/(-6) - (-1254)/9 is divided by f? 13 Suppose 616 + 96 = 9*d + 46. What is the remainder when 118 is divided by d? 44 Suppose -2*u + 30 = 4*u. Suppose -3*n - 20 + 151 = 5*x, -205 = -u*n - 5*x. What is the remainder when 119 is divided by n - (-3)/6*6? 39 Suppose 5*l = 4*i, -i + 13 = 4*l - 8. Suppose 365 = i*x + 5*o - 8*o, 5*x + 4*o = 365. Let p = 7 - -18. What is the remainder when x is divided by p? 23 Let x = 28610 - 21771. Calculate the remainder when x is divided by 236. 231 Suppose 3*a = -5*b - 135, 5*b - a - 2*a + 135 = 0. Let u = -10 - b. What is the remainder when 103 - 7/((-21)/(-12)) is divided by u? 14 Let g be (-13 - -1)*(1 - 0). Let r = -2 - g. Let n(f) = 71*f + 17. What is the remainder when n(0) is divided by r? 7 Suppose -5*d = -9 - 1, 0 = q + 2*d + 496. Let h = -485 - q. Calculate the remainder when 163 is divided by h. 13 Suppose 8*d - 9*d + 462 = -4*y, 0 = 4*d - y - 1878. Calculate the remainder when d is divided by 69. 56 Let v(z) = -2*z**3 + 26*z**2 + 67*z + 65. Calculate the remainder when v(-14) is divided by 6. 3 Let t(a) = 7*a**2 - 39*a - 373. What is the remainder when 5987 is divided by t(-6)? 111 Let s be (-59 - -58)*-2*1. Suppose -s*p - 61 = 4*n - 203, 0 = -4*n + 20. What is the remainder when 422 is divided by p? 56 Let l be 575/161 + 4/(-7). Suppose 0 = -4*c + 2*v + 156 + 258, -3*v = l*c - 324. Calculate the remainder when 415 is divided by c. 100 Suppose -5*h = -3*i -
{ "pile_set_name": "DM Mathematics" }
kjk? 7/44 Three letters picked without replacement from tbbbtbtttttttbtttbt. Give prob of sequence bbb. 20/969 Two letters picked without replacement from {l: 1, u: 2, m: 1, v: 1, r: 1, h: 1}. Give prob of sequence hm. 1/42 Three letters picked without replacement from {r: 1, p: 1, t: 1}. Give prob of sequence trp. 1/6 Calculate prob of sequence st when two letters picked without replacement from {n: 2, t: 1, o: 1, d: 1, h: 1, s: 1}. 1/42 Calculate prob of sequence klkl when four letters picked without replacement from llkkl. 1/10 Four letters picked without replacement from hjwvvvyvjohjhv. Give prob of sequence hjyv. 15/8008 Calculate prob of sequence kzm when three letters picked without replacement from xzzkkkykmy. 1/90 Two letters picked without replacement from xfffcxcxxffxx. What is prob of sequence ff? 5/39 Two letters picked without replacement from ndnsmnmmmlsmm. Give prob of sequence dm. 1/26 Three letters picked without replacement from wwriereeggwrwez. Give prob of sequence ggz. 1/1365 Four letters picked without replacement from {n: 6, k: 1, u: 2, w: 1, l: 6, x: 2}. Give prob of sequence lkwx. 1/6120 Four letters picked without replacement from wfwwfffwfffffs. What is prob of sequence fwwf? 36/1001 Calculate prob of sequence coc when three letters picked without replacement from {o: 3, c: 15, j: 2}. 7/76 What is prob of sequence oooo when four letters picked without replacement from {s: 12, o: 6}? 1/204 Two letters picked without replacement from llpphllhhlallal. What is prob of sequence lp? 8/105 Calculate prob of sequence dzd when three letters picked without replacement from qbbzzqzzqbdzdhz. 2/455 What is prob of sequence vnss when four letters picked without replacement from svnnvvns? 3/280 Calculate prob of sequence er when two letters picked without replacement from {v: 4, r: 1, e: 6}. 3/55 Calculate prob of sequence mzhb when four letters picked without replacement from mmhrmbmhmhzk. 1/792 What is prob of sequence mm when two letters picked without replacement from zmmggmzcdjmjjjd? 2/35 Three letters picked without replacement from pqlkekkqlqq. Give prob of sequence kke. 1/165 Two letters picked without replacement from mqbbmqqbypb. What is prob of sequence mm? 1/55 Two letters picked without replacement from tjoxsjd. What is prob of sequence to? 1/42 Calculate prob of sequence pjoi when four letters picked without replacement from pjopjpjiippijipojpi. 175/46512 Three letters picked without replacement from {e: 3, h: 5, i: 6, r: 1, f: 2}. Give prob of sequence hih. 1/34 What is prob of sequence ek when two letters picked without replacement from {k: 2, z: 1, e: 1, v: 7, h: 3, m: 3}? 1/136 Three letters picked without replacement from dddbdddddbddddb. Give prob of sequence bdb. 12/455 What is prob of sequence fs when two letters picked without replacement from {m: 1, s: 4, o: 2, h: 3, f: 1}? 2/55 Four letters picked without replacement from cbbcbbcccccbcc. Give prob of sequence cccb. 15/143 Two letters picked without replacement from opdooppdodpoododpuo. Give prob of sequence oo. 28/171 Three letters picked without replacement from {o: 2, a: 2, v: 1, x: 1, t: 2}. Give prob of sequence tav. 1/84 What is prob of sequence sggg when four letters picked without replacement from {g: 7, s: 4}? 7/66 What is prob of sequence zzzt when four letters picked without replacement from tztztzzttz? 5/84 Two letters picked without replacement from {g: 8, z: 3}. What is prob of sequence gg? 28/55 Calculate prob of sequence rrr when three letters picked without replacement from prrrpcrrpphrrprpr. 21/170 Calculate prob of sequence jj when two letters picked without replacement from {q: 16, j: 2}. 1/153 What is prob of sequence cv when two letters picked without replacement from cvc? 1/3 What is prob of sequence kk when two letters picked without replacement from hllkhlfqqklfkhhqw? 3/136 Calculate prob of sequence pd when two letters picked without replacement from dkaapfup. 1/28 Four letters picked without replacement from {f: 11, s: 3, v: 3, y: 3}. Give prob of sequence fsvs. 11/6460 Two letters picked without replacement from {p: 2, l: 2, o: 1}. What is prob of sequence po? 1/10 What is prob of sequence kkv when three letters picked without replacement from vkhvvvvphh? 0 Three letters picked without replacement from kkkkkkkkdktkktkdtk. Give prob of sequence ddk. 13/2448 What is prob of sequence dd when two letters picked without replacement from dpfggdppgsp? 1/55 Two letters picked without replacement from {b: 2, q: 4, g: 1, s: 4, d: 1, l: 7}. Give prob of sequence sd. 2/171 Four letters picked without replacement from {i: 1, a: 1, q: 2, n: 4}. Give prob of sequence nnnn. 1/70 Calculate prob of sequence my when two letters picked without replacement from smmyyyooomsoisosyem. 8/171 What is prob of sequence ll when two letters picked without replacement from llc? 1/3 Calculate prob of sequence oxo when three letters picked without replacement from oqxoooooooo. 4/55 What is prob of sequence lpf when three letters picked without replacement from {t: 1, p: 2, f: 1, l: 1}? 1/30 Calculate prob of sequence ll when two letters picked without replacement from lrllllrl. 15/28 Four letters picked without replacement from {z: 6, y: 4, c: 7}. Give prob of sequence cycz. 3/170 Three letters picked without replacement from ccjccjcjcjcjcc. What is prob of sequence ccj? 15/91 Two letters picked without replacement from {q: 6, c: 8, p: 1}. Give prob of sequence qc. 8/35 Three letters picked without replacement from {q: 1, l: 2, p: 1, e: 1, u: 4}. What is prob of sequence pue? 1/126 Three letters picked without replacement from {s: 4, z: 9, l: 3}. What is prob of sequence szs? 9/280 Calculate prob of sequence dme when three letters picked without replacement from {d: 1, l: 4, e: 1, h: 2, m: 2}. 1/360 What is prob of sequence qs when two letters picked without replacement from qssqsqqqqsqqqqsqqs? 4/17 Two letters picked without replacement from {w: 1, q: 1, o: 1, f: 4, b: 2}. Give prob of sequence qb. 1/36 Calculate prob of sequence zq when two letters picked without replacement from {z: 2, q: 4}. 4/15 Two letters picked without replacement from {g: 4, w: 3, a: 2, l: 4, q: 1}. What is prob of sequence lw? 6/91 What is prob of sequence nu when two letters picked without replacement from uunzuuunznww? 5/44 Two letters picked without replacement from {u: 6, q: 6}. What is prob of sequence qq? 5/22 Calculate prob of sequence jai when three letters picked without replacement from {j: 1, a: 3, i: 3}. 3/70 Four letters picked without replacement from {h: 4, z: 3, a: 1, v: 2, g: 2, d: 3}. Give prob of sequence zghz. 2/1365 Two letters picked without replacement from {y: 6, t: 1, j: 5, b: 7}. What is prob of sequence bj? 35/342 Two letters picked without replacement from {a: 3, b: 2, t: 1, d: 1, c: 1, n: 4}. Give prob of sequence cn. 1/33 What is prob of sequence kjjk when four letters picked without replacement from jkkkjkkkjj? 1/14 Four letters picked without replacement from {c: 9, z: 3}. Give prob of sequence czcc. 7/55 Three letters picked without replacement from kkkkrrkkkkk. What is prob of sequence kkk? 28/55 What is prob of sequence vb when two letters picked without replacement from vbbbv? 3/10 What is prob of sequence anja when four letters picked without replacement from gggaggjnggjaglnga? 1/2380 Calculate prob of sequence koq when three letters picked without replacement from {o: 1, k: 1, q: 1, i: 1, s: 1}. 1/60 Calculate prob of sequence ll when two letters picked without replacement from vylvnvxvv. 0 What is prob of sequence jj when two letters picked without replacement from {a: 6, j: 5, b: 4}? 2/21 What is prob of sequence yay when three letters picked without replacement from knlaykn? 0 What is prob of sequence nnn when three letters picked without replacement from {x: 6, n: 4}? 1/30 Calculate prob of sequence ncd when three letters picked without replacement from {c: 11, n: 1, d: 2}. 11/1092 What is prob of sequence mslu when four letters picked without replacement from {s: 5, u: 1, m: 1, l: 3, i: 2}? 1/792 Two letters picked without replacement from vvvwvpcw. What is prob of sequence pv? 1/14 What is prob of sequence wwx when three letters picked w
{ "pile_set_name": "DM Mathematics" }
1)/14*6. Which is the second smallest value? (a) 0.4 (b) -24 (c) w c Let z be 10*12/210*7. Which is the second biggest value? (a) -567 (b) z (c) -5 c Let i = 34 + -30. Which is the third biggest value? (a) 0 (b) i (c) -5 (d) 0.08 a Let m = -8 + 11. Suppose 0 = b + 4*l - 5*l - m, 4*l = -8. Let a be b/(-2)*8/(-24). What is the second smallest value in a, -3/8, -0.2? -0.2 Let t = -0.06 - 4.44. Let b = t - -1.5. What is the second smallest value in 0.6, -0.3, b? -0.3 Suppose 8 = -4*k + 2*y + 2*y, 0 = k - 3*y. Let s = -0.0343 - -2.0343. Which is the biggest value? (a) k (b) s (c) -4/9 b Let c = 46 - 45.944. What is the third smallest value in -2/5, -2/7, c? c Suppose -h + 2 + 10 = 0. Let o be -2 + ((-80)/h)/(-4). Which is the third smallest value? (a) -3 (b) o (c) 7 c Suppose 2*c = 140 - 144. What is the smallest value in 0.2, -0.9, c? c Let f(a) = 3*a + 3. Let g be f(-2). Let d be (-308)/1463*(-2)/(-4). What is the third smallest value in g, d, 1? 1 Let j = 924 + -917. Which is the second smallest value? (a) -2/31 (b) j (c) 1 c Let u = 2 + 1. Let y = 68 - 72. Which is the third biggest value? (a) -2/15 (b) y (c) u (d) 3/4 a Let y be ((-6)/5)/((-1)/(-5)). Let w = 4 + y. Let k = -0.135 + 0.635. What is the biggest value in w, k, -2/15? k Let d = 261 - 251. What is the third smallest value in 2, d, -1/5, 2/3? 2 Suppose 3*a - 8 + 2 = -3*h, 4*h = 3*a - 6. Let z be (-8)/(-2) + -1 + a. Let b = 35.5 + -35. What is the biggest value in b, 0.2, z? z Let o = -241.6 - -241.18. What is the third biggest value in o, 0.2, -6? -6 Let y = -2/1431 - -2876/10017. Which is the biggest value? (a) 10 (b) -1 (c) y a Suppose 4*q - 39 = -9*q. Which is the second smallest value? (a) -0.9 (b) q (c) -0.2 (d) -0.01 c Let x be (-10)/4 - (0 - 1). Let q be (-13)/((-117)/12)*6/16. Which is the third smallest value? (a) q (b) x (c) -19 a Let h be (-31 + 1)*(-3 + 44/12). What is the third biggest value in 0, 1, h, -3? -3 Let m = -0.13 - -9.03. Let q = m + 0.1. Let h = q + -13. Which is the smallest value? (a) 4 (b) h (c) 0.1 b Let p(r) = r**2 + 53*r + 465. Let x be p(-11). Which is the second biggest value? (a) -3.3 (b) 1 (c) x b Let k = -166 - -335/2. Which is the fourth biggest value? (a) k (b) -1/2 (c) -1/4 (d) -5/4 d Let b be 4 - -4 - 14 - -5. What is the second biggest value in -34, b, 2? b Let k = -55/402 + -2/67. Which is the second smallest value? (a) -0.3 (b) -108 (c) k a Let z = -3.72 + 4.7. Let y = -0.18 + z. What is the second smallest value in y, 0.5, 2? y Let d be (4 - 406/98)*-66. Which is the biggest value? (a) 10 (b) 4 (c) d a Let o = -161 - -161.369. Let q = -0.131 - o. Which is the third smallest value? (a) 2 (b) q (c) -1/9 (d) 0.05 d Let o = 0.06 - -0.54. Let i = -82.8 + 4.8. Let y = i + 77.8. What is the second biggest value in -0.4, o, y? y Let g = 0.064 - -4.936. Let c be 4 - 11/(110/36). What is the third biggest value in 0, 2, g, c? c Let d = 0.8745 + -0.2745. Let z be 10/(-1)*(-2 + 3). Let m be (-1 + 3)*1/z. Which is the second smallest value? (a) m (b) d (c) 2/11 c Let f = -1855.2 + 1855. Which is the biggest value? (a) 0 (b) f (c) -0.05 a Let s be 2*(-10)/4*(-83 - -86). Which is the biggest value? (a) 0.06 (b) s (c) 5 c Let j = -0.157 - -11.157. Which is the second smallest value? (a) -1 (b) j (c) 3 c Let c = -1.86 + 2.16. What is the third smallest value in c, -21, 5, 7? 5 Let o = -71.5 + 134.8. Let x = -63 + o. What is the biggest value in -0.1, x, 1, -1/5? 1 Let i = 6 + -1. Let t = -1052 + 1053. What is the fourth biggest value in 2/7, i, -0.1, t? -0.1 Let v = -1140 + 1141. Which is the fourth biggest value? (a) -0.4 (b) -0.146 (c) v (d) 0 a Let a be (-53)/(-60) + (-3)/4. Let p be 8/(((-12)/16)/(-3)). Let u be 7/(-21) + p/6. What is the second smallest value in u, a, 2? 2 Let r = 0.1 + 3.9. Suppose -18*p + 21*p = -24. Which is the third smallest value? (a) p (b) r (c) -1/6 b Let t be (32/(-16))/(10/(-4)*2). Let j = -0.28 - 4.72. Which is the fourth smallest value? (a) -9/5 (b) t (c) -2 (d) j b Suppose 7*r - 28 + 49 = 0. Let x = -0.44 + 0.04. What is the biggest value in x, r, 5? 5 Let q = -257/1701 + 2/243. Let h = -694 - -693. Which is the third smallest value? (a) 3 (b) q (c) h (d) 0.4 d Let r = -32.3 - 0.7. Let i = 38 + r. Which is the smallest value? (a) -1/2 (b) -4 (c) i b Let u = 167 - 212. What is the fourth smallest value in 2/5, -0.2, 2, u? 2 Let f = 6 + -4. Suppose n = -3*g + 64, 3*g + f*n = 11 + 57. Suppose -4*v - 5*l = g, -8 = l + l. What is the third smallest value in 1/5, 2, v? 2 Let z = -3 - 8. Let g be z/(-15) + (-4)/10. Let d = 1 + -1. Which is the third biggest value? (a) -5 (b) d (c) g a Let z be (-40)/112*8/(-20). Which is the second smallest value? (a) 0.1 (b) -0.5 (c) z (d) 2/13 a Let c = 66.03 + -65.03. Let f = 14 - 15.8. What is the second smallest value in c, f, 0? 0 Let p = -0.8 - 0.2. Let x = -0.048 + 4.048. What is the fourth smallest value in 5, x, p, 1? 5 Let a = -35 + 85. Let o = a - 50.2. What is the second smallest value in 7, 2, o? 2 Let z = -21.6 - 35. Let f = 57 + z. Which is the second biggest value? (a) -0.4 (b) 2 (c) f c Let w = 4/727 - 739/2181. Which is the biggest value? (a) -12 (b) -1 (c) -0.3 (d) w c Suppose 2*w = -2*w + 16*w. Which is the biggest value? (a) -5 (b) -0.5 (c) 2 (d) w c Let i = -75 - 267/4. Let h = -46 + 187. Let m = i + h. What is the third smallest value in 2/11, m, -0.2? 2/11 Let p be 10 - 11 - (0 + -3). What is the biggest value in -1, 5, p, 1/2? 5 Let p = 72.3 + -83.3. Which is the third smallest value? (a) p (b) -12 (c) 5 (d) -2/3 d Let n be (1 - -3)/(-2) - -2. Let x = 9 - n. Suppose 2*h = x - 3. What is the third biggest value in h, -6/5, 0.1? -6/5 Suppose 41*i = 44*i + 2*y + 19, 5*i + 25 = -2*y. Suppose -3*k + 4*k + 11 = 2*g, 4*g = 4*k + 24. Which is the second biggest value? (a) k (b) 2 (c) i (d) 14 b Suppose -604 = 4*t - 0*t - 5*d, -d + 151 = -t. Let a = t - -1961/13. What is the second smallest value in -4, -2/3, 0, a? -2/3 Let q = 2/491 + -4928/4419. Let l = -29/18 - q. What is the second biggest value in -3, -1/4, l? l Let q = -0.0574 - 1.9426. Which is the third smallest value? (a) -4 (b) 2/7 (c) q (d) 10 b Let k = -0.05 + 0.05. Let x = 960.2 - 960. What is the third smallest value in k, 2, x, -2/23? x Let t = 45.965 + 0.035. Let v = -64 + t. What is the second smallest value in -0.2, -2/19, 0.3, v? -0.2 Let v = -6361 - -6357. Let s be (4/10)/((-20)/(-125)). What is the third biggest value in s, 0.4, v? v Let u = 6 + -6.06. Let c = -0.02 - u. Let b = 18 - 19. What is the second smallest value in b, -4, c? b Let f = -15.5 + 15. Which is the smallest value? (a) 0.2 (b) f (c) -1/37 b Suppose 0 = -2*n - 3*n + 25. Suppose 14 = -6*s - 8*s. Which is the third smallest value? (a) n (b) -5 (c) s (d) -2/19 d Let r = 26.5 - 28.5. Let p = 4.7 + -1.5. Let v = 3 - p. What is the second smallest value in 2, v, r? v Let r be -1 - (-12)/(-10)*(-660)/(-198). Which is the smallest value? (a) r (b) -2 (c) -28 c Let p = -0.26 - -0.19. Let d = -2.93 + p. Which is the second biggest value? (a) 5 (b) 0.4 (c) d b Let f be (-99)/(-55)*(-4)/(-12). Suppose 5*v - 39 = -14. Which is the biggest value? (a) f (b) v (c) -1 b Let q = -672.13 - -676. Let x = -0.13 - q. Let m = 2 + x. Which is the second biggest value? (a) -3 (b) m (c) 3 b Let s be (16/4 - 3)*-2. Suppose 0 = 2*k - 7*k + 4*v + 40, -2*k - 4*v - 12 = 0. Suppose 0 = 5*d - k - 6. Which is the third smallest value? (a) d (b) -5 (c) s a Let k be ((-18)/(-15))/((-12)/(-20)). Suppose 0 = 8*m - k*m. Which is the smallest value? (a) m (b) 4 (c) -0.5 c Let v be 2 - ((-48)/(-10))/2. Let h = 0.17 - 9.97. Let r = -10 - h. Which is the second biggest value? (a) r (b) v (c) 0.1 a Let i = -0.163 - 0.037. Let l = 4.8 - i. What is the third smallest value in 1/2, l, 15? 15 Let p be (-22)/33*1/(-1). Which is the third biggest value? (a) -5 (b) 0.2 (c) p (d) 0.3 b Let m = -22 - -27. Let o be (m/(-2))/(2/4). What is the fourth biggest value in o, 4/5, -16, -0.3? -16 Let k = 51.7 - 49. Let v = k - -1.3. Let z = -6 + v. Which is the second smallest value? (a) z (b) -3/8 (c) -12 a Suppose 12*g = -16*g + 84. Which is the seco
{ "pile_set_name": "DM Mathematics" }
- 7 = -z*l. Let b(u) = u**2 - 3*u - 1. Let f be b(l). What is the greatest common factor of 3 and f? 3 Let g(a) = 7*a**2 + a - 4. Let d be g(-2). Let o be (-9)/2*(-4)/6. Suppose 2*h - 1 = 3*k - o, -2*h = 2*k - 8. What is the highest common divisor of h and d? 2 Let b(h) = -h**2 - 2*h + 1. Let r be b(-2). Suppose 3*y - 385 = -2*y. Let z be 242/y - 1/7. What is the greatest common factor of z and r? 1 Let w be (-11)/(((-10)/5)/2). Calculate the greatest common divisor of w and 44. 11 Let h(c) = 6*c - 4. Let j(a) = 48*a - 33. Let n(m) = -33*h(m) + 4*j(m). Let b be n(-3). Calculate the highest common divisor of b and 9. 9 Let m be ((-9)/5)/(-1 + (-17)/(-20)). Calculate the highest common divisor of m and 60. 12 Let m be (-4 - 0)*20/(-8). Calculate the highest common factor of m and 10. 10 Let u(x) = -19*x - 9*x + 5 - 15*x. Let m be u(-5). Calculate the greatest common divisor of 20 and m. 20 Let t = -5 + 3. Let d be ((0 + 0)/t)/2. Let j = d - -11. What is the greatest common factor of 33 and j? 11 Suppose -4*d - 3*x = -4, 1 = -4*d + 4*x + 5. Let y be 0 + 25 + (-2 - d). What is the highest common factor of y and 44? 22 Let a(g) = -2*g + 3. Let q be a(-7). Let n(x) = -3*x - 1. Let w be (2 + 8/(-3))*9. Let p be n(w). What is the highest common divisor of p and q? 17 Suppose 5*c + 0 = 15. Calculate the greatest common divisor of c and 27. 3 Suppose -4*m = 4*b - 96, m + 3*b = -3*m + 93. Calculate the highest common divisor of 7 and m. 7 Let s be 162/6 + (-2 - 0). Calculate the highest common factor of s and 125. 25 Suppose -56 = -7*a + 3*a. What is the highest common factor of 112 and a? 14 Let g be (3 + -1)/(14/616). Calculate the greatest common divisor of 11 and g. 11 Let l(r) be the second derivative of -5*r**3/6 + 7*r**2/2 - r. Let s be l(-7). Calculate the greatest common divisor of s and 14. 14 Let t(q) = 4*q**2 - 3*q - 2*q - q**2 + 6 + 0*q. Let c be t(3). Calculate the highest common factor of 18 and c. 18 Suppose 15 + 9 = 4*r. Calculate the highest common divisor of r and 24. 6 Suppose -6*z + 203 = -277. Calculate the greatest common factor of 30 and z. 10 Suppose 4*o = 7*o - 324. Suppose -4*y + o = -y. Calculate the greatest common divisor of y and 18. 18 Suppose 89 = 4*t - 2*u + 11, 57 = 3*t - u. What is the highest common divisor of t and 162? 18 Let l(u) = -u**2 - 4*u + 7. Let d be l(-5). Suppose -4*q + 55 = q - 4*k, -5*q - d*k + 55 = 0. What is the highest common factor of q and 121? 11 Let k = 11 + -7. Let g be 1000/28 + 4/14. What is the greatest common factor of k and g? 4 Let i(n) = 2*n**2 - 7*n. Let h be i(5). Calculate the highest common divisor of h and 45. 15 Let a be (30/4)/(2/20). Let m be (a/4)/((-11)/(-44)). Calculate the greatest common divisor of 15 and m. 15 Let v = -184 - -548. Calculate the greatest common factor of v and 52. 52 Let d be (1*-4)/((-2)/(-3)). Let v be 1*3 - (d - -2). Calculate the highest common divisor of v and 63. 7 Let i be 24/(-10)*(0 + -5). Suppose -x + m + 3 = -2, m + 5 = 5*x. Suppose -n + i = -x. What is the highest common factor of n and 96? 12 Let h = -20 - -39. Suppose 2*w - 3*w + 152 = 0. What is the highest common divisor of w and h? 19 Let d = 29 - -19. What is the greatest common divisor of d and 8? 8 Suppose s + 7*o = 2*o + 14, -o = -s + 14. What is the highest common factor of s and 56? 14 Let y = -112 + 116. What is the highest common factor of y and 10? 2 Suppose 3*x + x + 2*o = 48, -8 = -2*o. Suppose 90 = -0*j + 3*j. Calculate the greatest common divisor of j and x. 10 Let g be 3/(3*6/174). What is the greatest common divisor of g and 319? 29 Suppose 4*n + 5 = 29. Suppose -d + n*d = -c + 25, -4*d + 4*c - 4 = 0. Let i(r) = 17*r + 2. Let b be i(d). What is the highest common divisor of b and 10? 10 Let l be (2/(-6))/(4/(-324)). What is the highest common divisor of 18 and l? 9 Suppose -12 = n + n. Let l = n + 34. Suppose 4*h + 16 = 8*h. Calculate the greatest common divisor of h and l. 4 Suppose q - 4*k - 27 = 0, -2*q - 5*k - 7 - 4 = 0. Suppose q*u - 2*u - 125 = 0. Let x = 17 - 12. What is the greatest common factor of x and u? 5 Let s(u) = 21*u**3 + u**2 - 1. Let n be s(1). Let l = -10 + n. What is the highest common divisor of l and 99? 11 Let w = 37 + -21. Calculate the highest common factor of w and 16. 16 Suppose 8*d - 3*d = -5*v + 70, 0 = -4*d - 12. Suppose -n = -3*a + v + 207, -5*a = -n - 374. What is the greatest common factor of 30 and a? 15 Suppose -862 + 366 = -4*z. Let y(c) = -c - 9. Let p be y(-7). Let t be p/5 - z/(-10). What is the greatest common factor of 3 and t? 3 Let l be (2 - 1)/1*22. Let q = 9 + -5. Suppose -3*j + 168 = -3*g, -q*g = g + 5. Calculate the greatest common divisor of j and l. 11 Let b = 25 - 13. What is the greatest common factor of b and 108? 12 Suppose -2*m + 1 - 3 = 0. Let d be 3*(m + 0)/(-3). Let p(h) = -h**3 - 9*h**2 + 6. Let b be p(-9). What is the greatest common divisor of b and d? 1 Let z(l) = l**2 + 5*l + 6. Let r be 0 + -8 - (-2 + 1). Let d = -14 - r. Let j be z(d). Calculate the highest common factor of 4 and j. 4 Suppose -5*h = 2*d - 132, -4*h - 4*d + 3*d + 108 = 0. Let q be 120/h - (-6)/(-21). Calculate the highest common factor of 20 and q. 4 Suppose -16 = 2*w - 4. Let q(o) = -3*o - 8. Let z be q(w). Let x = 18 - z. Calculate the highest common divisor of 48 and x. 8 Let c = 42 - -6. What is the highest common factor of 12 and c? 12 Let x = -34 + 70. Calculate the greatest common divisor of x and 84. 12 Let u(f) = -10*f - 42. Let y be u(-7). What is the greatest common factor of y and 21? 7 Suppose 3*s - 4*s = -10. Let w = s - -80. Calculate the greatest common divisor of 18 and w. 18 Suppose 5*r - 76 = -2*w, r - 25 - 63 = -3*w. Suppose 2*c - 16 = -2*v - 6, -v = 5*c - 33. Calculate the highest common divisor of c and w. 7 Let l(u) = u + 35. Let d be l(-7). What is the highest common factor of 42 and d? 14 Suppose 3*r - 8 = 5*r. Let z = 7 + r. Suppose -4*v = v - i - 139, v - z*i - 25 = 0. What is the greatest common factor of v and 7? 7 Let s = -318 + 531. Suppose -i + 6*i - 100 = -b, 3*i + s = 2*b. What is the greatest common divisor of b and 21? 21 Let c be (2/(-8))/((-1)/76). Suppose c - 349 = -3*m. Suppose 0 = s - 2*f - 58, -4*s = f - m - 104. What is the highest common factor of s and 6? 6 Let m = 28 + -94. Let d be 1/((-1)/(m/3)). Calculate the greatest common factor of d and 33. 11 Suppose -120*u + 125*u = 240. Calculate the greatest common divisor of 240 and u. 48 Let x be (-224)/3*(-6)/4. Suppose -4*t = -2*d - 22, -9 = -t + 5*d + 19. Suppose 0 = -t*g + g + 32. Calculate the highest common factor of x and g. 16 Let z be (-28)/42*3/(-2). Let h be 1 + -1 + z + 2. Let j be (-2)/((-4)/3)*6. Calculate the greatest common divisor of h and j. 3 Suppose -r - p + 70 = 0, 7*p + 68 = r + 6*p. What is the greatest common divisor of r and 46? 23 Let q(x) = x + 24. Let b be q(-17). What is the highest common divisor of b and 35? 7 Suppose 4*a - 15 = -a. Suppose 39 = 5*b - a*j, 3*j + 17 - 2 = b. Let n be (-22)/(-3)*(10 + -1). What is the greatest common factor of b and n? 6 Suppose -1 = -o - 8. Let j(i) = i**2 + i + 9. Let s be j(o). Calculate the greatest common factor of s and 34. 17 Let z = 9 - 9. Suppose z = -d - 4*n + 2, -d + 2*n + 17 = n. What is the greatest common divisor of 28 and d? 14 Let m(p) = p**2 - 9*p. Let b be m(9). Suppose 0*h - h + 20 = b. Calculate the highest common divisor of 80 and h. 20 Suppose 0 = -3*d + i + 17, 0*d + 23 = 4*d - i. Calculate the greatest common divisor of d and 12. 6 Let b(m) = m + 34. Let n be b(-22). Calculate the highest common divisor of n and 54. 6 Let j(w) = -w**2 - 6*w - 5. Let g be j(-5). Suppose d + 17 + g = 2*t, d = 3*t - 23. Let h be 285/12 + 1/4. Calculate the greatest common factor of t and h. 6 Let p be -51*(-5 + 1/(-3)). Calculate the greatest common factor of p and 34. 34 Let a = 39 + -31. Calculate the greatest common divisor of a and 20. 4 Let p(b) = b**2 + 8*b - 7. Suppose -3*u - 2*a + 8 = 0, u - 2*a - 16 = -0*u. Let n be p(u). What is the highest common divisor of n and 11? 11 Suppose 4*c - 5 = 27. Let z be 30/(-3 + 30/8). Calculate the greatest common factor of z and c. 8 Let m be 35/(-14)*2*-1. Suppose -g - 308 = -m*g. What is the highest common factor of 11 and g? 11 Suppose 0 = -
{ "pile_set_name": "DM Mathematics" }
, 1297853 What are the prime factors of 190750378? 2, 7, 13, 31, 33809 What are the prime factors of 314227762? 2, 17, 9241993 What are the prime factors of 770290091? 770290091 List the prime factors of 3463968691. 137, 25284443 List the prime factors of 467573583. 3, 29, 5374409 What are the prime factors of 14779142? 2, 7, 73, 14461 What are the prime factors of 178723911? 3, 7523, 7919 What are the prime factors of 37053022? 2, 149, 124339 List the prime factors of 152143039. 5471, 27809 List the prime factors of 244131690. 2, 3, 5, 11, 227, 3259 What are the prime factors of 1560730063? 167, 9345689 What are the prime factors of 82916680? 2, 5, 7, 11, 26921 List the prime factors of 687198096. 2, 3, 13, 67, 5479 What are the prime factors of 1274865002? 2, 19, 1765741 List the prime factors of 1045825268. 2, 59, 4431463 What are the prime factors of 1140355708? 2, 31, 71, 129527 What are the prime factors of 1749673018? 2, 271, 3228179 List the prime factors of 1895355816. 2, 3, 7043, 11213 List the prime factors of 2385575971. 2385575971 List the prime factors of 1966564848. 2, 3, 61, 337, 1993 What are the prime factors of 254932008? 2, 3, 10622167 What are the prime factors of 58225352? 2, 2341, 3109 List the prime factors of 1696801145. 5, 13, 317, 82349 List the prime factors of 12885834. 2, 3, 13, 165203 List the prime factors of 3817333536. 2, 3, 41, 969851 List the prime factors of 581266572. 2, 3, 48438881 List the prime factors of 3513059. 11, 389, 821 What are the prime factors of 229694037? 3, 487, 157217 List the prime factors of 966012726. 2, 3, 7, 17, 41, 32999 What are the prime factors of 607018985? 5, 2521, 48157 What are the prime factors of 8896623? 3, 2965541 What are the prime factors of 16362377? 199, 82223 What are the prime factors of 35247527? 7, 19, 31, 83, 103 List the prime factors of 69432258. 2, 3, 7, 1653149 What are the prime factors of 69366095? 5, 43, 322633 List the prime factors of 1453446098. 2, 13, 31, 349, 5167 What are the prime factors of 332830596? 2, 3, 7, 3962269 List the prime factors of 410913359. 4159, 98801 What are the prime factors of 20666450? 2, 5, 7, 137, 431 List the prime factors of 573176779. 7, 81882397 What are the prime factors of 166961729? 11, 29, 47581 What are the prime factors of 159850105? 5, 31, 1031291 What are the prime factors of 864260187? 3, 7, 839903 What are the prime factors of 222852152? 2, 23, 677, 1789 What are the prime factors of 386492026? 2, 193246013 List the prime factors of 52573876. 2, 13143469 List the prime factors of 2000299657. 109, 127, 229, 631 List the prime factors of 7114905209. 307, 23175587 List the prime factors of 148701515. 5, 263, 113081 What are the prime factors of 1181196? 2, 3, 10937 List the prime factors of 4209776409. 3, 31, 193, 234541 List the prime factors of 285979316. 2, 7, 67, 152441 List the prime factors of 19883936. 2, 181, 3433 List the prime factors of 21630139. 293, 73823 List the prime factors of 2143035. 3, 5, 47623 What are the prime factors of 72764663? 23, 3163681 What are the prime factors of 5324933? 5324933 List the prime factors of 12715799. 101, 125899 What are the prime factors of 225806888? 2, 227, 124343 List the prime factors of 7169698. 2, 23, 155863 What are the prime factors of 9960719? 9960719 List the prime factors of 2681685228. 2, 3, 59, 3787691 List the prime factors of 1380762911. 11, 125523901 List the prime factors of 345376162. 2, 173, 998197 What are the prime factors of 186277616? 2, 7, 53, 4483 List the prime factors of 1114217877. 3, 371405959 What are the prime factors of 176994814? 2, 563, 157189 What are the prime factors of 77839067? 19, 4096793 List the prime factors of 579188330. 2, 5, 7, 149, 7933 What are the prime factors of 5165500725? 3, 5, 7, 11, 298153 List the prime factors of 224126728. 2, 7, 4002263 What are the prime factors of 2810213520? 2, 3, 5, 11709223 List the prime factors of 3727581105. 3, 5, 248505407 List the prime factors of 778049645. 5, 2137, 72817 What are the prime factors of 123919697? 11, 29, 37, 10499 List the prime factors of 687026935. 5, 7, 19629341 List the prime factors of 45894422. 2, 7, 3278173 List the prime factors of 392381424. 2, 3, 73, 163, 229 What are the prime factors of 267186260? 2, 5, 11, 1214483 What are the prime factors of 384900218? 2, 3083, 62423 List the prime factors of 150804748. 2, 19, 37, 53629 What are the prime factors of 4685275395? 3, 5, 17, 6124543 List the prime factors of 18580375. 5, 11, 13513 What are the prime factors of 136623228? 2, 3, 7, 1626467 List the prime factors of 251025873. 3, 7, 43, 151, 263 What are the prime factors of 5702849109? 3, 37, 17125673 List the prime factors of 74813792. 2, 19, 123049 List the prime factors of 11989021. 11, 1039, 1049 List the prime factors of 345151482. 2, 3, 13, 4425019 List the prime factors of 4135341789. 3, 1733, 88379 What are the prime factors of 140287571? 140287571 What are the prime factors of 60251144? 2, 757, 9949 What are the prime factors of 2632404898? 2, 883, 1490603 What are the prime factors of 90117881? 7, 67, 192149 What are the prime factors of 1476090298? 2, 113, 6531373 What are the prime factors of 98937584? 2, 6183599 List the prime factors of 11302327. 11302327 List the prime factors of 675242483. 675242483 List the prime factors of 2765999879. 19, 145578941 What are the prime factors of 502192407? 3, 167397469 What are the prime factors of 463979815? 5, 13, 37, 192923 List the prime factors of 2746827. 3, 239, 1277 List the prime factors of 86409285. 3, 5, 5760619 List the prime factors of 135566088. 2, 3, 7, 806941 What are the prime factors of 12186792? 2, 3, 193, 877 List the prime factors of 52632267. 3, 541, 32429 List the prime factors of 87523261. 7, 31, 157, 367 List the prime factors of 289513214. 2, 144756607 List the prime factors of 1435937086. 2, 71, 2467, 4099 What are the prime factors of 61781743? 521, 118583 List the prime factors of 4129161012. 2, 3, 1283, 89399 List the prime factors of 529099909. 13, 31, 61, 21523 What are the prime factors of 326841422? 2, 17, 41, 234463 What are the prime factors of 77275329? 3, 25758443 List the prime factors of 706033960. 2, 5, 347, 50867 List the prime factors of 4122002881. 227, 1039, 17477 What are the prime factors of 1059246596? 2, 97, 2730017 What are the prime factors of 26069546? 2, 151, 86323 List the prime factors of 1281440312. 2, 751, 213289 List the prime factors of 492198601. 271, 1069, 1699 List the prime factors of 76154879. 31, 2456609 List the prime factors of 83777292. 2, 3, 17, 367, 373 What are the prime factors of 15870876? 2, 3, 7, 188939 List the prime factors of 163025037. 3, 7, 29, 89231 List the prime factors of 1480659455. 5, 11, 17, 19, 7577 List the prime factors of 4864664207. 13, 37, 10113647 What are the prime factors of 32288783? 151, 213833 What are the prime factors of 682865301? 3, 19, 191, 62723 List the prime factors of 47315619. 3, 13, 283, 1429 List the prime factors of 62019305. 5, 239, 51899 List the prime factors of 2114826. 2, 3, 7, 43, 1171 What are the prime factors of 1522379539? 283, 5379433 List the prime factors of 30397756. 2, 571, 13309 List the prime factors of 53211511. 43, 109, 11353 What are the prime factors of 139765442? 2, 29, 997, 2417 What are the prime factors of 248031553? 7, 11, 3221189 What are the prime factors of 1623497002? 2, 811748501 What are the prime factors of 11711645? 5, 11, 31, 6869 What are the prime factors of 6470775? 3, 5, 28759 What are the prime factors of 43407537? 3, 14469179 What are the prime factors of 456741839? 17, 26867167 What are the prime factors of 259628980? 2, 5, 13, 53, 83, 227 What are the prime factors of 59368941? 3, 6596549 What are the prime factors of 3712174168? 2, 10663, 43517 What are the prime factors of 60350311? 7, 757, 1627 List the prime factors of 115609257. 3, 167, 76919 List the prime factors of 5822309489. 71, 82004359 List the prime factors of 2229771771. 3, 19, 239, 54559 List the prime factors of 537840267. 3, 179280089 List the prime factors of 68887993. 67, 281, 3659 What are the prime factors of 3136704431? 7, 1597, 280589 List the prime factors of 278944674. 2, 3, 4649
{ "pile_set_name": "DM Mathematics" }
(j*j**(8/7))*(j*j**0*j)/(j/j**9) assuming j is positive. j**(6/7) Simplify (w/w**(2/7))/((w*w**(-2))/w)*(w**0)**(-9/2) assuming w is positive. w**(19/7) Simplify (s**(-7/4)/s)/(s**(-2/11)*s)*(s/(s**4*s))/s*s/s**4 assuming s is positive. s**(-509/44) Simplify p*p**10*p**(1/13) assuming p is positive. p**(144/13) Simplify h**(-5/9)/(h*h**(1/10)/h*h) assuming h is positive. h**(-149/90) Simplify (k**(1/3)/(k*k*k*k**(3/8)*k*k))**(4/23) assuming k is positive. k**(-121/138) Simplify ((b**(-3)/b)/b**5)/((b/(b*b*b*b**(-4)*b))/b**6) assuming b is positive. b**(-4) Simplify (m*m**12*m)/m**(5/3) assuming m is positive. m**(37/3) Simplify (h**(2/5)/h)/h**(-36) assuming h is positive. h**(177/5) Simplify k**3/((k/(k/(((k/((k**(-3)*k*k)/k)*k)/k)/k)))/k)*k**1/(k*k*k/(k**(-1)*k)) assuming k is positive. 1 Simplify n**(10/9)/((n*n**31)/n) assuming n is positive. n**(-269/9) Simplify b**(-3/2)/(b*b*b**(-1/11)*b)*(b**(1/3))**(-31) assuming b is positive. b**(-973/66) Simplify d*d**(-2)/d*d*d*d**0*(d**(1/2))**(-36) assuming d is positive. d**(-18) Simplify (s**(2/3)*s*s*s)**(-7)*(s**(1/5)*s)/((s/(s**(-11)/s))/s) assuming s is positive. s**(-547/15) Simplify ((v**(1/3))**(-20/11))**(-1/13) assuming v is positive. v**(20/429) Simplify (w*(w/(w/(w/((w**(-2/7)*w)/w))))/w*w*w*w*w/((w**(-1/13)/w)/w)*w)**(-45) assuming w is positive. w**(-34245/91) Simplify ((u*u**(-6))/u*u**(-5/6))/(u**(2/7)*u**(2/5)) assuming u is positive. u**(-1579/210) Simplify (w*(w*w/(w**30*w))/w)/w**3 assuming w is positive. w**(-32) Simplify (o*o**20)/(o/(o*(o*o/(o/o**6)*o)/o)) assuming o is positive. o**28 Simplify (g/g**(2/5)*g*g*g/((g/g**(4/3))/g)*g)**22 assuming g is positive. g**(1958/15) Simplify (p**(2/3)/p)**(-1/22)*(((p**(2/3)*p)/p)/p)**0 assuming p is positive. p**(1/66) Simplify h*h**26*h/(h/((h*(h/(h*(h*h**(-7/6))/h))/h)/h)) assuming h is positive. h**(163/6) Simplify (a*a*a**(1/2))**11*(a**1)**(-5/7) assuming a is positive. a**(375/14) Simplify s/s**(-16)*s**(-5) assuming s is positive. s**12 Simplify ((z/(z**(2/13)/z*z))/(z*z*z/(z*z**(3/10)/z)*z))/(z/z**(5/3)*z**(5/3)) assuming z is positive. z**(-501/130) Simplify r**(-2/11)/((((r/(r*r**(-2/55)/r*r))/r)/r*r)/r) assuming r is positive. r**(98/55) Simplify f**(1/8)/f**(2/13) assuming f is positive. f**(-3/104) Simplify n**(-2/49)/n**(-4) assuming n is positive. n**(194/49) Simplify (a**(-1/2)/a)**(1/11)*(a*a**(1/2))**(-17) assuming a is positive. a**(-282/11) Simplify ((c*c**(-1)*c)/c*c**13)**(41/2) assuming c is positive. c**(533/2) Simplify (y*y/(y*y**(-1))*y*y)**(-18)/(y**1/y)**(-9/2) assuming y is positive. y**(-72) Simplify (n**(-1/11))**(-2/7) assuming n is positive. n**(2/77) Simplify (c*((c*c/(c/(c/(c/(c/(c*c**(-4/5)))))))/c)/c)**(-33) assuming c is positive. c**(-132/5) Simplify (f**(2/13)/f)/f*f**(-3/2)*f assuming f is positive. f**(-61/26) Simplify ((t/(((t**(-1/5)*t)/t)/t))/t**2)/(t*(t*t**(5/3)/t)/t*t/(t/(t*t**2*t)*t)*t) assuming t is positive. t**(-82/15) Simplify (z**(1/7)*(z/(z*z**(-2/5)))/z)**(-3) assuming z is positive. z**(48/35) Simplify ((x/x**22*x)/x*x)**(1/7) assuming x is positive. x**(-20/7) Simplify (y/y**(-8)*y)**(-3) assuming y is positive. y**(-30) Simplify (t*t**10)/t*t**(-2/3)*(t/((t/(t**(3/5)/t)*t*t*t*t)/t))/t*t*t**(1/2) assuming t is positive. t**(193/30) Simplify (r*r/((r**(2/9)/r)/r*r))**(-26/5) assuming r is positive. r**(-130/9) Simplify (p/((p**(-3/2)*p)/p))**(-12/11) assuming p is positive. p**(-30/11) Simplify (k**(-13/5))**(-27) assuming k is positive. k**(351/5) Simplify (m/m**(-1/13))/((m/((m*m/(((m/(m*m**1*m*m)*m*m)/m)/m)*m)/m))/m)*(m**(-9)/m)/(m*m*m/m**(3/2)) assuming m is positive. m**(-141/26) Simplify (n**10*n**8)**41 assuming n is positive. n**738 Simplify (n*n**(-1/2))/n**2*n**(1/4)/((n*n**1*n*n)/n*n*n) assuming n is positive. n**(-25/4) Simplify (r*r**(-4/5)*r**15/r)**4 assuming r is positive. r**(284/5) Simplify (o/o**(2/9)*o/(o/(o*(o**(1/4)*o*o)/o))*o)**(1/9) assuming o is positive. o**(145/324) Simplify y**(-4)/y*y**(-8) assuming y is positive. y**(-13) Simplify g**(3/7)/(g**(-3)*g)*g**(-6)*(g**(4/5)/g)/g assuming g is positive. g**(-167/35) Simplify (h*h/h**(11/7)*h)/(h*h**(3/19)*h) assuming h is positive. h**(-97/133) Simplify (a*a/(a**(2/81)*a))/(a*a*a/a**(-3/28)) assuming a is positive. a**(-4835/2268) Simplify (r**3*r**(-2/13)*r)**(-12) assuming r is positive. r**(-600/13) Simplify (((v/(v/((v*v/(v*v**(-1/3)))/v)))/v)/(v/v**7))/(((v*v**0*v)/v)/(((v/(v*v**5/v))/v)/v)) assuming v is positive. v**(-5/3) Simplify ((o/o**(1/10))/o)/o**15 assuming o is positive. o**(-151/10) Simplify o**(-2/13)*o**(-17)*o assuming o is positive. o**(-210/13) Simplify (((w/w**(-9/7))/w)/w)/(w/w**7*w) assuming w is positive. w**(37/7) Simplify t/t**0*(t/((t*t/(t/(t/(t*(t*(t/(((t/(t**(2/5)*t))/t)/t))/t*t*t*t)/t))))/t))/t*t*t*t*t*t*t*(t*(t/t**(2/3))/t)**(5/9) assuming t is positive. t**(1699/135) Simplify s/(s*s**(-2/9))*s**(2/17)/s*s**(-1/9)*s**(3/5) assuming s is positive. s**(-131/765) Simplify ((d/(d/d**(-1)))/d)**(4/5)*(d**(2/7)*d)**16 assuming d is positive. d**(664/35) Simplify (((z/z**(-5))/z)/((z**(-2/11)/z)/z))**(1/12) assuming z is positive. z**(79/132) Simplify g**(-4)*g*g/((g**(-10)*g)/g) assuming g is positive. g**8 Simplify ((w**(-1/2))**47)**(5/2) assuming w is positive. w**(-235/4) Simplify (p**(2/5)*p)**(-13)/(p/(p*p/(p*p/(p**(-1)*p)))*p)**(2/15) assuming p is positive. p**(-277/15) Simplify (((l/(l/l**0)*l)/l)**(5/9))**(-1/64) assuming l is positive. 1 Simplify (x**(-5))**(-28) assuming x is positive. x**140 Simplify ((y**0)**(-1/6))**(2/21) assuming y is positive. 1 Simplify (m*m/(m*m**(-15)))/(m*m*m*m**(-18/7)*m) assuming m is positive. m**(102/7) Simplify (l/((l*l**(5/7))/l))/((l/(l*l**(-2/5)*l)*l)/l) assuming l is positive. l**(31/35) Simplify (t*((t*t**(-2/19)*t*t)/t)/t*t*t*t)**35 assuming t is positive. t**(3255/19) Simplify ((g**(-1/6))**(24/5))**(-33) assuming g is positive. g**(132/5) Simplify r/(r*r*r*r**38*r*r)*r/((r*r**17*r)/r) assuming r is positive. r**(-59) Simplify (o**(-4)/(o**10*o))**(-25) assuming o is positive. o**375 Simplify l**4*l*(l/l**(-1/6))/l assuming l is positive. l**(31/6) Simplify (v*v**(-11))**(-6) assuming v is positive. v**60 Simplify (k**(-4)/k*k*k*k*(k**0/k)/k)/(k**(-2)/(k/((k*k**1*k)/k))) assuming k is positive. k**(-3) Simplify ((s**(1/14)*s)/(s/(s/s**(-2/5))))/(s*s**(-1))**(-29) assuming s is positive. s**(103/70) Simplify (j/(j/(j**(-1/2)*j)))/(j**5*j) assuming j is positive. j**(-11/2) Simplify (y**2/y*y*y)**(-14/11)*(y**(2/5))**(5/11) assuming y is positive. y**(-40/11) Simplify (p*p*(p*p**(-1))/p)/(p/(p**(1/9)/p)) assuming p is positive. p**(-8/9) Simplify (d**6*d)/(d/(d/d**8)*d) assuming d is positive. d**(-2) Simplify h*(h*h**(-5))/h*h**1*(h*h**(-3/2)*h*h*h)/h*h*h/(h**3*h*h)*h assuming h is positive. h**(-7/2) Simplify ((d*d*(d**(-2/11)*d)/d)/(d*d*d**4/d*d))/((d*d**(-3))/d*d**(-8)*d) assuming d is positive. d**(64/11) Simplify (f/f**(-2/3))/(f/(f/(f**(-1/3)/f)*f))*f/(f*(f/(f/(f/((f/(f*f/(f/f**(-4)*f*f)*f)*f)/f))))/f*f)*f**(-1/4)/f assuming f is positive. f**(27/4) Simplify ((i*i**(1/6))**(4/13))**(-46) assuming i is positive. i**(-644/39) Simplify (u**(-2/13))**(-16/3) assuming u is positive. u**(32/39) Simplify (o**(-3/4)/o)**33*(o**(-2/7))**(-34) assuming o is positive. o**(-1345/28) Simplify j**(2/17)/(j/(j*j*j/(j/(j**(-3/4)*j*j)))) assuming j is positive. j**(161/68) Simplify (((c*c**(-2/5))/c)**(-33))**(-9/4) assuming c is positive. c**(-297/10) Simplify s**(-8)/s**6*(s*s**(-2/7)/s*s)**(7/2) assuming s is positive. s**(-23/2) Simplify (k/(k/k**(2/25)*k))**(-2/107) assuming k is positive. k**(46/2675) Simplify (l*l**(-5))**(-2/35) assuming l is positive. l**(8/35) Simplify (b*(b/(b*b/(b**(-9/2)/b)))/b)/(b**(-1)*b) assuming b is positive. b**(-13/2) Simplify (b/(b*b**2/b)*b*b)**(-13) assuming b is positive. b**(-13) Simplify x**(-3/2)*x**3/x assuming x is positive. sqrt(x) Simplify ((b**1/b*b*b)**(-41/3))**(-3/10) assuming b is positive. b**(41/5) Simplify b/((b*b**(-3/19)*b*b)/b)*b*b/(b**3*b) assuming b is positive. b**(-54/19) Simplify h**(-2/33)*h*h**7*(h/(h**1/h))/(h**(-3/4)*h) assuming h is positive. h**(1147/132) Simplify y/y**(1/16)*y**21*y assuming y is positive. y**(367/16) Simplify (c/(c**(-25)*c))/c**15 assuming c is p
{ "pile_set_name": "DM Mathematics" }
ing order. 735, 11, -1/65 Put 1565, 11, 4 in decreasing order. 1565, 11, 4 Put -4, -9343, 10 in ascending order. -9343, -4, 10 Sort -4/35, -16, 0.4, -2/11, 10 in increasing order. -16, -2/11, -4/35, 0.4, 10 Sort 3/5, -0.2, 0, 3157/19, -2/7 in decreasing order. 3157/19, 3/5, 0, -0.2, -2/7 Sort 171, 9, 0. 0, 9, 171 Put -0.3, -2, 3/13, -102 in increasing order. -102, -2, -0.3, 3/13 Sort 5, -2, 0, -1, 579, 1 in ascending order. -2, -1, 0, 1, 5, 579 Sort -3, 0, 0.0421, -7, -0.1 in descending order. 0.0421, 0, -0.1, -3, -7 Sort -1, 5, 2, 1618, 4 in increasing order. -1, 2, 4, 5, 1618 Put -3, -16, 3, 5, 22, -2 in decreasing order. 22, 5, 3, -2, -3, -16 Sort -3, -15, -1, 658. -15, -3, -1, 658 Sort -5, 290.1, -1, -1/207 in descending order. 290.1, -1/207, -1, -5 Put 8, 0.2, -0.01, -0.3 in increasing order. -0.3, -0.01, 0.2, 8 Put -3, -430, 29 in ascending order. -430, -3, 29 Put -32, -1, -306, 1 in ascending order. -306, -32, -1, 1 Sort 2, -3, 14, 3, -22 in decreasing order. 14, 3, 2, -3, -22 Sort -1/55, -2/5, 1, 2, -2/13 in ascending order. -2/5, -2/13, -1/55, 1, 2 Sort -666/11, 4, -7. -666/11, -7, 4 Put 128, -1594, -4 in decreasing order. 128, -4, -1594 Sort 11, -2, 6, -3, -59, 4 in increasing order. -59, -3, -2, 4, 6, 11 Put -34/9, 0.1, 1.35, 0.3 in decreasing order. 1.35, 0.3, 0.1, -34/9 Put -363, -4, -6, -5 in ascending order. -363, -6, -5, -4 Sort 28, -69, -197, 4, 2/9. -197, -69, 2/9, 4, 28 Put 39, -29, 4 in ascending order. -29, 4, 39 Sort -2/279, 2/27, 0.4, 4, -2/9 in descending order. 4, 0.4, 2/27, -2/279, -2/9 Put -6, -41, 0.2, 6, 2/15, -2 in increasing order. -41, -6, -2, 2/15, 0.2, 6 Sort -1/3, 1/12, -0.075, -4, 3, -5 in descending order. 3, 1/12, -0.075, -1/3, -4, -5 Sort -3.3, 5, 0, 1/3, -367, -3 in decreasing order. 5, 1/3, 0, -3, -3.3, -367 Sort 3, -7, 0, -4153, 1. -4153, -7, 0, 1, 3 Sort 8, 2928, 31 in descending order. 2928, 31, 8 Sort 1, 6, 719, -1 in ascending order. -1, 1, 6, 719 Sort 4, 3, 2, 5, 2/17 in increasing order. 2/17, 2, 3, 4, 5 Put -0.5, -2/103, -0.4, 1, -4/5 in decreasing order. 1, -2/103, -0.4, -0.5, -4/5 Put 4/9, -3, 5, 2/7, 3, 59 in decreasing order. 59, 5, 3, 4/9, 2/7, -3 Put -17, -2, 454 in ascending order. -17, -2, 454 Sort -46/9, -1/2, 4, 2/7, -3, 0.3. -46/9, -3, -1/2, 2/7, 0.3, 4 Sort 0.06, -2, -0.07, 7, 10 in increasing order. -2, -0.07, 0.06, 7, 10 Put -2/17, -4, -5, 8414 in decreasing order. 8414, -2/17, -4, -5 Sort 0, 115.183, 1/5, 4 in ascending order. 0, 1/5, 4, 115.183 Put 5, 395, 1.1 in descending order. 395, 5, 1.1 Put -0.1, 421, 9, 4, -0.3 in descending order. 421, 9, 4, -0.1, -0.3 Put 0, -6754, -2/5, -2/3 in decreasing order. 0, -2/5, -2/3, -6754 Sort -5380, -24, 0, -2 in decreasing order. 0, -2, -24, -5380 Sort -32, -2, 5635, 0 in descending order. 5635, 0, -2, -32 Sort -4, 408, -1811 in decreasing order. 408, -4, -1811 Sort 0, -36/5, 5, 1/5, 0.4 in descending order. 5, 0.4, 1/5, 0, -36/5 Sort -354, 0, -6, -5. -354, -6, -5, 0 Sort -5/43, -4, -0.045, 2/3, 1/3 in decreasing order. 2/3, 1/3, -0.045, -5/43, -4 Put 0, -10851, -1, 3 in descending order. 3, 0, -1, -10851 Sort -0.5, -10, 0.5, -346, 1. -346, -10, -0.5, 0.5, 1 Put 5, 4, 111, 3, 16, -1 in decreasing order. 111, 16, 5, 4, 3, -1 Sort -4600, 0, 5, 6, 1. -4600, 0, 1, 5, 6 Sort 470, -2, -87 in decreasing order. 470, -2, -87 Sort -5, 11, 30, 775. -5, 11, 30, 775 Sort 247, -5, 262 in ascending order. -5, 247, 262 Put 0.4, -460, -0.43 in increasing order. -460, -0.43, 0.4 Put -2, 342657, 4, 0 in descending order. 342657, 4, 0, -2 Put -1, 16, -26, 3, -3 in ascending order. -26, -3, -1, 3, 16 Sort 13322, 0, 5. 0, 5, 13322 Sort 1, 997, -13 in ascending order. -13, 1, 997 Sort 345, -9, 1, 2, -5 in ascending order. -9, -5, 1, 2, 345 Sort 1, 5, -629, 23, 4 in decreasing order. 23, 5, 4, 1, -629 Put 56, -3, -5, 6, 22 in decreasing order. 56, 22, 6, -3, -5 Sort -22, -3, 231 in descending order. 231, -3, -22 Put -24, -6, -4, 3 in ascending order. -24, -6, -4, 3 Sort 942, 0, 4, -3 in descending order. 942, 4, 0, -3 Sort -2019, 0.4, -0.1, 1 in ascending order. -2019, -0.1, 0.4, 1 Sort 1205, -3, -2/15 in ascending order. -3, -2/15, 1205 Put -2, -2.3, 5, -7/2, 3 in increasing order. -7/2, -2.3, -2, 3, 5 Sort -22860, 6, -2, 1. -22860, -2, 1, 6 Put 15, 13, -5, -3, 0 in descending order. 15, 13, 0, -3, -5 Put -1, 239.3, -2/13 in increasing order. -1, -2/13, 239.3 Sort 3, -20, -377. -377, -20, 3 Sort -15, 36, 63, -1, -5 in ascending order. -15, -5, -1, 36, 63 Put -20, 11, -2, 3, 4 in descending order. 11, 4, 3, -2, -20 Put 97, -0.1, 2/57, 0.5, 5, -4 in descending order. 97, 5, 0.5, 2/57, -0.1, -4 Sort 0.09, 4961, 5, 0 in decreasing order. 4961, 5, 0.09, 0 Put -113, 49, -3, 2 in ascending order. -113, -3, 2, 49 Sort 3, -3, -7, 61, 14, -1 in descending order. 61, 14, 3, -1, -3, -7 Put 5, -17, -3, 0, 2 in descending order. 5, 2, 0, -3, -17 Sort -4, 1, -9/101, -0.6, 0.5. -4, -0.6, -9/101, 0.5, 1 Sort 1, 0, -4, -44, 2, -12. -44, -12, -4, 0, 1, 2 Sort -6, -5, -4, -747 in decreasing order. -4, -5, -6, -747 Put -15, -4, 1997 in decreasing order. 1997, -4, -15 Sort -7, 2, 4, -55 in descending order. 4, 2, -7, -55 Put 0, 11, 97, -9, -1, 1 in decreasing order. 97, 11, 1, 0, -1, -9 Sort 2, 5, -3, -220, 3 in increasing order. -220, -3, 2, 3, 5 Put 2/7, 1/281, 4/3, 1/677 in descending order. 4/3, 2/7, 1/281, 1/677 Sort 33, -44/7, -86, 1/5 in ascending order. -86, -44/7, 1/5, 33 Sort 0.6, 5, -1/2, -2, 4708 in decreasing order. 4708, 5, 0.6, -1/2, -2 Sort -12, -6, 4, 2111 in decreasing order. 2111, 4, -6, -12 Sort 4, 15, 0, -4, 5294 in increasing order. -4, 0, 4, 15, 5294 Put 1, -2, -1127, 404 in descending order. 404, 1, -2, -1127 Put 546, -3, -70, 3, 0 in descending order. 546, 3, 0, -3, -70 Sort -0.4, -2/17, -1/3, -0.8, -0.1 in increasing order. -0.8, -0.4, -1/3, -2/17, -0.1 Put -362, 11, -3/4, 0.02, -1 in descending order. 11, 0.02, -3/4, -1, -362 Put 3/4, 4/11, 4, -40 in ascending order. -40, 4/11, 3/4, 4 Put -1, -2, -14, 53 in ascending order. -14, -2, -1, 53 Put 8, -32, -13 in increasing order. -32, -13, 8 Sort -3, 305, 341. -3, 305, 341 Put -30926, -3, -4 in ascending order. -30926, -4, -3 Sort 5, -6, -116, 13, 0, 1 in increasing order. -116, -6, 0, 1, 5, 13 Put 4/5, 12/7, 1, 2, -56 in decreasing order. 2, 12/7, 1, 4/5, -56 Put -37, 5, -23 in increasing order. -37, -23, 5 Put -2, -4, -1498, 5 in increasing order. -1498, -4, -2, 5 Put 5, 2.1, -0.4, -3/5, 0, 45 in descending order. 45, 5, 2.1, 0, -0.4, -3/5 Put -359, 72, -3, 3, -2 in decreasing order. 72, 3, -2, -3, -359 Put 0, -0.1, 4, 0.4748, -1 in descending order. 4, 0.4748, 0, -0.1, -1 Sort 21307, 4, -4 in descending order. 21307, 4, -4 Put -18, 0, -386 in descending order. 0, -18, -386 Put 1153, -2, 1, 0.3, -0.2 in ascending order. -2, -0.2, 0.3, 1, 1153 Put -6, 1, 3, 14, 93 in descending order. 93, 14, 3, 1, -6 Sort 0, 8, -4, -37. -37, -4, 0, 8 Put 11, 3, -98, -3, 18 in decreasing order. 18, 11, 3, -3, -98 Put -1, 2, 1.4, -3/5, -0.1 in descending order. 2, 1.4, -0.1, -3/5, -1 Sort 4, 17, -10, 2, -72, 1 in increasing order. -72, -10, 1, 2, 4, 17 Sort 0.1, 1/4, -2/9, 27665. -2/9, 0.1, 1/4, 27665 Sort -1, -8, -275, -4, -3, 0 in increasing order. -275, -8, -4, -3, -1, 0 Sort -23, 4, 8, -3, 0, 57. -23, -3, 0, 4, 8, 57 Sort 338, 376, 4 in descending order. 376, 338, 4 Sort -1281732, 1, -1. -1281732, -1, 1 Put 403, 2, -3, -6, 5 in ascending order. -6, -3, 2, 5, 403 Put 2, 0, -8, -2, 4, -38 in increasing order. -38, -8, -2, 0, 2, 4 Put -3/13, 0.4, 6210, 0.1, 0.3 in increasing order. -3/13, 0.1, 0.3, 0.4, 6210 Sort 0, 2/13, 5/8, 3, -0.3 in increasing order. -0.3, 0, 2/13, 5/8, 3 Sort -31, 4, 21, 0.05 in decreasing order. 21, 4, 0.05, -31 Sort -1, -1072, -4, 0.4, 21 in decreasing order. 21, 0.4, -1, -4, -1072 Put -2/21, 51293, 2 in increasing order. -2/21, 2, 51293 Sort 1072, -5, -4, 40 in ascending order. -5, -4, 40, 1072 Sort -3.91, -0.5, -3/50, 0 in increasing order. -3.91, -0.5, -3/50, 0 Put -1.84, 2/3, -0.8, -1/6 in increasing order. -1.84, -0.8, -1/6, 2/3 Put 2639, 5, -1, 16 in decreasing order. 2639, 16, 5, -1 Put -18, 5, 24, 2, -2 in descending order. 24, 5, 2, -2, -18 Sort 13/6, -4/9, -1, -17.7 in ascending order. -17.7, -1, -4/9, 13/6 Put 4, -4, -2, 2, -54, 1 in decreasing order. 4, 2, 1, -2, -4, -54 Sort 5, -5, -10
{ "pile_set_name": "DM Mathematics" }
a factor of 4923? False Does 4 divide 2324? True Is 2848 a multiple of 16? True Is 27 a factor of 2521? False Does 149 divide 16092? True Is 29 a factor of 3751? False Is 168 a multiple of 8? True Does 96 divide 5376? True Is 11 a factor of 2054? False Is 483 a multiple of 7? True Is 27888 a multiple of 24? True Does 23 divide 892? False Is 31 a factor of 2139? True Is 86 a factor of 2976? False Is 3 a factor of 288? True Is 18 a factor of 23591? False Does 23 divide 1521? False Is 47 a factor of 129? False Is 23 a factor of 784? False Does 23 divide 31711? False Does 48 divide 140? False Is 27 a multiple of 3? True Is 79 a factor of 45585? False Is 10465 a multiple of 21? False Is 630 a multiple of 14? True Does 8 divide 32734? False Is 350 a multiple of 12? False Is 516 a multiple of 6? True Is 7490 a multiple of 90? False Does 25 divide 31723? False Does 26 divide 432? False Does 51 divide 16078? False Is 28 a factor of 31696? True Does 177 divide 8142? True Is 49 a factor of 931? True Does 12 divide 13767? False Does 122 divide 15639? False Does 5 divide 5114? False Is 144 a multiple of 6? True Is 45 a factor of 17387? False Is 3618 a multiple of 9? True Does 29 divide 348? True Is 2898 a multiple of 126? True Is 204 a multiple of 3? True Is 72863 a multiple of 8? False Is 1034 a multiple of 7? False Is 14 a factor of 3738? True Is 3032 a multiple of 12? False Is 8 a factor of 112? True Is 208 a factor of 73008? True Is 5 a factor of 1205? True Is 18 a factor of 31428? True Is 18026 a multiple of 119? False Does 57 divide 36993? True Does 172 divide 9804? True Is 89 a factor of 44856? True Does 267 divide 20025? True Is 14482 a multiple of 17? False Does 44 divide 1799? False Does 20 divide 100557? False Is 11 a factor of 1835? False Does 11 divide 1749? True Is 62 a factor of 1026? False Does 2 divide 1939? False Is 27 a factor of 151? False Is 4500 a multiple of 75? True Does 32 divide 1049? False Does 45 divide 135? True Is 5 a factor of 67? False Is 30 a factor of 750? True Is 1445 a multiple of 94? False Is 2165 a multiple of 8? False Does 3 divide 807? True Does 64 divide 1152? True Is 41730 a multiple of 130? True Is 7 a factor of 12159? True Is 60 a factor of 815? False Is 3 a factor of 544? False Is 19 a factor of 3420? True Is 17 a factor of 1676? False Does 5 divide 34318? False Is 14 a factor of 46844? True Is 2491 a multiple of 123? False Is 40 a multiple of 5? True Is 2230 a multiple of 28? False Is 2 a factor of 9378? True Does 61 divide 671? True Is 462 a multiple of 15? False Is 78 a factor of 7956? True Is 1020 a multiple of 68? True Does 71 divide 17441? False Does 101 divide 1291? False Does 2 divide 3052? True Does 7 divide 7477? False Is 2103 a multiple of 24? False Does 22 divide 5016? True Is 7 a factor of 11690? True Is 14 a factor of 560? True Is 99 a factor of 13107? False Is 29008 a multiple of 36? False Is 29 a factor of 1334? True Does 13 divide 2145? True Does 8 divide 12736? True Is 14 a factor of 210? True Is 114 a factor of 13982? False Is 163 a factor of 37667? False Is 90 a multiple of 9? True Is 5452 a multiple of 38? False Does 90 divide 6390? True Is 3137 a multiple of 15? False Is 171 even? False Is 12 a factor of 2136? True Does 20 divide 400? True Does 203 divide 27193? False Is 13 a factor of 3120? True Is 9413 a multiple of 2? False Does 97 divide 19109? True Does 72 divide 1512? True Does 3 divide 194? False Is 9605 a multiple of 211? False Is 6874 a multiple of 178? False Does 310 divide 84587? False Is 120 a factor of 22720? False Is 7 a factor of 704? False Does 141 divide 18563? False Does 93 divide 5494? False Does 74 divide 9768? True Is 1256 a multiple of 56? False Is 9 a factor of 75303? True Does 5 divide 125? True Is 1745 a multiple of 122? False Is 52699 a multiple of 13? False Is 7 even? False Is 19530 a multiple of 93? True Is 19624 a multiple of 44? True Does 43 divide 3026? False Is 33 a factor of 75? False Does 11 divide 4389? True Does 15 divide 904? False Is 655 a multiple of 15? False Is 9 a factor of 26046? True Is 6460 a multiple of 178? False Does 11 divide 939? False Does 53 divide 441? False Does 3 divide 128? False Does 4 divide 488? True Does 79 divide 8532? True Is 4 a factor of 225? False Does 2 divide 814? True Is 49 a factor of 8183? True Does 14 divide 632? False Is 2 a factor of 2257? False Is 1044 a multiple of 12? True Is 15 a factor of 53186? False Is 391 a multiple of 3? False Does 19 divide 240? False Is 26479 a multiple of 16? False Does 51 divide 50959? False Is 298 a multiple of 10? False Is 14 a factor of 379? False Is 8640 a multiple of 48? True Is 1729 a multiple of 20? False Is 612 a multiple of 68? True Is 2378 a multiple of 58? True Is 429 a multiple of 11? True Is 5 a factor of 1940? True Does 10 divide 439? False Is 174 a multiple of 6? True Does 185 divide 8390? False Is 13635 a multiple of 12? False Does 9 divide 5769? True Is 6 a factor of 143? False Is 951 even? False Does 4 divide 3988? True Does 27 divide 486? True Is 34 a factor of 47476? False Is 28 a factor of 2907? False Is 571 a multiple of 23? False Is 8511 a multiple of 12? False Is 13000 a multiple of 50? True Does 124 divide 7564? True Does 494 divide 75582? True Is 954 a multiple of 18? True Is 57 a multiple of 2? False Does 22 divide 148? False Is 13 a factor of 1326? True Does 15 divide 661? False Is 975 a multiple of 39? True Does 16 divide 736? True Is 14881 a multiple of 10? False Is 343 a multiple of 49? True Does 2 divide 4214? True Is 2 a factor of 120? True Is 2616 a multiple of 75? False Does 7 divide 28958? False Is 8 a factor of 12280? True Is 22094 a multiple of 46? False Is 763 a multiple of 12? False Is 6852 a multiple of 2? True Is 61 a factor of 4743? False Is 4 a factor of 157? False Is 16830 a multiple of 306? True Is 5 a multiple of 2? False Does 127 divide 1397? True Is 1508 a multiple of 90? False Does 30 divide 506? False Is 6 a factor of 262? False Does 11 divide 62535? True Does 16 divide 656? True Is 11 a factor of 22967? False Is 5 a factor of 236? False Is 91 a factor of 14496? False Is 1240 a multiple of 10? True Is 2614 a multiple of 19? False Is 270 a multiple of 10? True Is 3 a factor of 13? False Is 4771 a multiple of 8? False Is 13 a factor of 7720? False Does 26 divide 47866? True Is 8425 a multiple of 5? True Does 11 divide 759? True Is 941 a multiple of 60? False Does 52 divide 6344? True Does 50 divide 1200? True Is 66 a factor of 1122? True Is 4491 a multiple of 162? False Is 4 a factor of 620? True Is 4037 a multiple of 57? False Does 14 divide 1848? True Is 23 a factor of 1104? True Is 1785 a multiple of 21? True Does 92 divide 2484? True Does 5 divide 102? False Is 7 a factor of 140? True Does 51 divide 24452? False Is 136 a factor of 25024? True Does 10 divide 1180? True Is 192 a multiple of 4? True Does 4 divide 1276? True Is 11541 a multiple of 17? False Is 3948 a multiple of 84? True Is 2880 a multiple of 64? True Is 324 a multiple of 12? True Does 21 divide 210? True Is 189 a multiple of 22? False Is 3569 a multiple of 47? False Does 74 divide 78292? True Is 12 a factor of 26868? True Does 28 divide 4312? True Is 58 a factor of 1045? False Is 78 a factor of 1344? False Is 10 a factor of 299? False Is 3645 a multiple of 45? True Is 9438 a multiple of 66? True Is 585 a multiple of 65? True Does 18 divide 103? False Is 60 a factor of 9900? True Is 2 a factor of 284? True Does 5 divide 1533? False Is 16 a factor of 1280? True Does 9 divide 1260? True Does 4 divide 1621? False Is 11 a factor of 561? True Is 25 a factor of 3448? False Does 64 divide 3790? False Does 21 divide 22974? True Is 745 a multiple of 5? True Is 7030 a multiple of 190? True Is 3275 a multiple of 5? True Is 6842 a multiple of 22? True Is 8 a factor of 506? False Does 38 divide 1731? False Does 11 divide 3306? False Does 15 divide 1296? False Does 14 divide 11826? False Is 213 a multiple of 26? False Does 8 divide 1389? False Is 12 a factor of 182? False Is 37631 a multiple of 23? False Is 7423 a multiple of 13? True Does 9 divide 1323? True Is 177 a multiple of 78? False Is 12 a factor of 14? False Is 77 a multiple of 7? True Does 6 divide 1226? False Does 171 div
{ "pile_set_name": "DM Mathematics" }
tens digit of d? 9 Let f = -74 - -117. Suppose 0 = -5*m + f - 13. Suppose -3*q - 5*p + 52 = 0, 2*q = m*q - 2*p - 52. What is the tens digit of q? 1 Let b be (6/(-10))/(4/(-20)). Suppose -b = 2*h - 11. What is the units digit of h? 4 Let x be (-16)/9 + (-2)/9. Let n be x/(-3)*(-345)/(-10). Let q = -15 + n. What is the units digit of q? 8 Let f = 17 + -7. Let p = -6 + f. What is the units digit of p? 4 Let d(f) = -f**2 - 12*f + 4. Let n be d(-12). Suppose -n*j = -j - 138. What is the tens digit of j? 4 Let z = 42 - 1. What is the units digit of z? 1 Let f = 29 + -18. Suppose -1 = 4*a + f. Let r = a + 20. What is the units digit of r? 7 Suppose r = -r - 2. Let v be (16/(-20))/(r/(-5)). Let o = v - -22. What is the tens digit of o? 1 Let u(d) = 6*d**2 - 1. Let n be u(1). Let w be 12/(-2 + n) - 2. Let c = w - 0. What is the units digit of c? 2 Let j = -9 + 13. Suppose -j = g, 2*g - 3*g - 16 = -3*l. Suppose -4*x + 24 = z + x, l = 5*z - 4*x. What is the units digit of z? 4 Let f = 16 - -14. What is the units digit of f? 0 Let v be (-3 + 4)*(0 - 0). Let i(u) = u + 3. Let b be i(v). Suppose p + 24 = 5*j, 6 + 12 = b*j + 3*p. What is the units digit of j? 5 Let o(x) = x. Let k be o(0). Let p be (3/6 + k)*-12. What is the units digit of p + (-9)/(-3) + 12? 9 Let m(t) be the first derivative of -t**2/2 + t - 1. Let z(q) = -18*q + 9. Let h(c) = -15*m(c) + z(c). What is the units digit of h(-4)? 6 Suppose -2*m - 43 = s, -5*s + 23 = -3*m - 22. Let z be 3 + 2 + (-57)/3. Let p = z - m. What is the units digit of p? 6 Suppose -4*u - 8 = -84. What is the tens digit of u? 1 Let g(v) = v**3 + 7*v**2 - 4*v - 7. Let j be g(-7). Suppose 0*w + j = w. Suppose z = 4*z - w. What is the units digit of z? 7 Let n(z) = 2*z**2 + z**3 + 3 - 8*z**2 - 4*z + 4*z**2 + z**2. What is the units digit of n(3)? 9 Suppose b - 3*d = -0*d - 11, -41 = -4*b - 5*d. Suppose -v - 2*r = -5, 0*r - 46 = -b*v + 5*r. Suppose -x + v = -0*x. What is the units digit of x? 9 Let x = 228 - 144. What is the units digit of x? 4 Suppose -5*c = 78 - 3. What is the units digit of 5/(c/(-6)) - -7? 9 What is the units digit of 2/(4/(-2))*-13? 3 Let z be (-12)/(-8)*10 + 2. Suppose z + 20 = b. What is the units digit of b? 7 Let r(k) = -k**2 + 8*k + 7. What is the tens digit of r(6)? 1 Let n be (-1 - 14/(-6))*3. Suppose 0 = -5*a - 3*f - f + 9, 0 = n*a + 3*f - 8. Suppose 4*z - 56 = -2*s, a*s + 4 = 4*s. What is the units digit of z? 6 Let s(k) = k**2 - 11. Let r = 9 - 15. What is the tens digit of s(r)? 2 Let f = 189 + -119. Suppose -x - 72 = -3*n, -3*x - f + 15 = -2*n. What is the tens digit of n? 2 Let x be 0 + (-1 - -17)/2. Let o(f) be the first derivative of f**3/3 - 7*f**2/2 + f + 4. What is the units digit of o(x)? 9 What is the units digit of -1 + 4 + 21 + 1? 5 Let c(u) = -u**2 + 14*u - 8. Let v be c(13). Suppose 4*x + v*a = 37, -x - x = -3*a - 13. What is the units digit of x? 8 Let g(t) = -2*t**2 + 12*t + t**2 - 8*t**3 - 12*t - 2*t - 1. Suppose 0 = -2*i - 1 - 1. What is the units digit of g(i)? 8 Let j = -2 + -17. Let q = -6 - j. What is the units digit of q? 3 Let i(g) be the first derivative of -g**3/3 - 11*g**2/2 - 8*g - 3. Let v be i(-8). Suppose -2 + v = 2*z. What is the units digit of z? 7 Suppose 35 = t + 4*t. Let n(f) = f**2. Let y be n(-1). Let l = y + t. What is the units digit of l? 8 Let u be (-2672)/36 + (-4)/(-18). What is the units digit of u/(-10) - 10/25? 7 Let b be 2/(-3) + 10/(-3). Let v(d) be the third derivative of -d**6/120 - d**5/12 - 5*d**4/24 + d**3/3 - 2*d**2. What is the units digit of v(b)? 6 Let l = -15 + 24. Suppose 2*f + l = 79. What is the tens digit of f? 3 Let n(f) = f**3 - 7*f**2 + 3*f - 8. Let v be n(7). Let c = v + -11. What is the units digit of c? 2 Suppose 4*y - 188 + 16 = 0. Suppose -y = -4*q + 2*r - 5*r, -4*r - 77 = -5*q. What is the units digit of q? 3 Let i(b) be the first derivative of -b**4/24 - 3*b**2/2 - 2. Let v(y) be the second derivative of i(y). What is the units digit of v(-4)? 4 Let r be (-3)/4 + 23/4. Suppose -r*c - 1 = -y, -4*c = c + 4*y - 4. Suppose c = u - 5. What is the units digit of u? 5 Suppose -3*n - 99 = 2*m - 314, 4*n = 3*m + 264. Suppose -5*f + 1 = -n. Suppose 0 = -2*k + f + 26. What is the tens digit of k? 2 Let p be 1/3 + (-3)/9. Let y(v) = v**2 + 12. What is the tens digit of y(p)? 1 Suppose b + 825 + 59 = 3*a, 5*b + 290 = a. What is the units digit of a? 5 Let t(d) = 3 + 0*d - 5*d + 5 + 6*d. What is the units digit of t(0)? 8 Suppose 3*w = -12, 3*j = -2*j + w + 219. What is the tens digit of j? 4 Let z(v) = -8*v - 4. Let p be z(-6). Let s be (p/6)/(10/15). Suppose s = 5*q - 24. What is the units digit of q? 7 Suppose -5*y + 27 = -3*r, -5*y - 5*r + 0*r - 5 = 0. Suppose y*x = -x + 16. What is the units digit of x + 2 + 1/(-1)? 5 Let x be 16/(-24)*(-3)/2. Let n = 0 + x. What is the units digit of n? 1 Let s = 1 - -3. Suppose -7 = n + a + 3*a, -4*a = s*n - 20. What is the units digit of 47/n + (-10)/45? 5 Let s(p) = -p - 3*p - 7*p**2 + 3 + 8*p**2. Let g be s(4). Suppose 5*l - 61 = g*o, 4*l + o + 11 = 5*l. What is the units digit of l? 4 Let c be (-3)/(-1)*27/(-3). Let j = -18 - c. What is the units digit of j? 9 Let n = 27 - 39. Let o = -7 - n. Let x(l) = -l**2 + 8*l - 7. What is the units digit of x(o)? 8 Let r = -18 + 22. Suppose -3*f + 47 = -2*h + 129, 164 = r*h + 5*f. What is the tens digit of h? 4 Suppose 3*f - 845 = 3*n - 5*n, n - 280 = -f. What is the hundreds digit of f? 2 Suppose -k - 4*a = -26, 2*a + 59 = 4*k + 3*a. Suppose u - k = -3*i, u + i - 18 = -2*u. What is the units digit of u? 5 Suppose 3*t = -w + 6, -t - 4*t = -5*w + 10. Suppose 0 = -w*n + 47 + 25. What is the tens digit of n? 2 Let u be (-90)/(-24) + (-1)/(-4). Suppose -5*v = 2*s + 25, -3*v - 5 = 2*v. What is the units digit of (-4 + -1)*u/s? 2 Let s be 1*1/((-3)/(-9)). Let z = 7 - s. What is the units digit of z? 4 Let f = -10 + 14. Suppose -39 = b - f*b. What is the tens digit of b? 1 What is the tens digit of (2 - -27) + (-8)/(-4)? 3 Suppose -4*i + 56 = -0*i. What is the tens digit of i? 1 Let t = 225 + 6. What is the tens digit of t? 3 What is the units digit of 10/((-3*(-2)/(-132))/(-1))? 0 Suppose -3*l + 1092 - 67 = 5*f, 5*f - 1025 = -2*l. What is the tens digit of f? 0 Let b = 4 + 64. What is the units digit of b? 8 Let a be (-3)/(3 + 0)*5. Suppose -5 = 5*j - 40. Let h = a + j. What is the units digit of h? 2 Suppose -p + 4 = -33. What is the units digit of p? 7 Let a(v) = v + 1. Let d be a(-4). Let t be 6 - 1 - d/(-1). What is the units digit of (-305)/(-20) - t/8? 5 Let d(k) be the first derivative of k**3/3 + 3*k + 2. Let y be -6*(15/6 + -3). What is the tens digit of d(y)? 1 Suppose 0*z - z = 2. Let j be ((-1)/2)/((-2)/60). What is the units digit of (12/j)/(z/(-5))? 2 Let k(q) = -q**2 + 4*q - 9. Let p be k(9). What is the units digit of 1/(p/(-52) + -1)? 6 Let h(r) = 21*r - 2 - 6*r + 12*r. Let t be h(2). Suppose 3*j + 7 - t = 0. What is the units digit of j? 5 Suppose 2*b + 0*w - 102 = 2*w, 5*b = w + 271. What is the units digit of b? 5 Let o(m) = 5*m + 7. What is the units digit of o(6)? 7 Let c = -2 - -3. Let w(d) = -2*d - 7. Let h be w(-5). Let s = c + h. What is the units digit of s? 4 Let w = 83 + -50. What is the tens digit of w? 3 Suppose 48 + 90 = 2*f. What is the units digit of f? 9 Let h(f) = -f**3 - 4*f**2 - 3*f + 4. Let r be h(-3). Suppose r*v - 2 = 10. Suppose i = -3*x + 23, 4 = v*i - 4*x - 0. What is the units digit of i? 8 Let u = 38 - 4. Let w = 71 - u. What is the tens digit of w? 3 Suppose 0 = -6*f + 5*f + 182. What is the hundreds digit of f? 1 Let q(o) = o**2 - 8*o + 1. Let c be q(8). Suppose -4*u + 3*b - 1 + 4 = 0, -b = 5*u + c. Suppose u*j = -5*j + 35. What is the units digit of j? 7 Suppose -5*d + 43 = -22. What is the units digit of 466/d + 2/13? 6 What is the tens digit of -4 + 6 + (0 - -15)? 1 Let q = 7 - 7. Suppose -2*a = -3*p - 0*a + 8, 5*p + 5*a - 30 = q. What is the units digit of p? 4 Let v be (6/(-5))/((-2)/(-5)). Let g = 26 + v. What is the units digit of g? 3 Let m = 3 + -4. Let h be (1 - 0)/(m/(-11)). Suppose f - 4*t = -7, -3*f - 6*t + h = -2*t. What is the units digit of f? 1 Let z = 119 - 85. What is the units digit of z? 4 What is the units digit of 2/(-5) + (-624)/(-10)? 2 What is the tens digit of (-8)/6 - 17725/(
{ "pile_set_name": "DM Mathematics" }
hat is the tens digit of 618209? 0 What is the thousands digit of 12806391? 6 What is the units digit of 537250? 0 What is the ten thousands digit of 1944300? 4 What is the hundred thousands digit of 4053925? 0 What is the thousands digit of 204161? 4 What is the thousands digit of 26655432? 5 What is the hundreds digit of 1468065? 0 What is the tens digit of 18739? 3 What is the units digit of 412624? 4 What is the hundreds digit of 1044790? 7 What is the tens digit of 2047123? 2 What is the units digit of 84764? 4 What is the tens digit of 2484956? 5 What is the thousands digit of 154711? 4 What is the thousands digit of 460461? 0 What is the units digit of 2662995? 5 What is the units digit of 182942? 2 What is the units digit of 618965? 5 What is the units digit of 3399474? 4 What is the ten thousands digit of 132484? 3 What is the tens digit of 4359158? 5 What is the millions digit of 1009733? 1 What is the thousands digit of 2922737? 2 What is the tens digit of 15919? 1 What is the hundreds digit of 4692020? 0 What is the thousands digit of 2018940? 8 What is the millions digit of 7468495? 7 What is the ten thousands digit of 2035038? 3 What is the tens digit of 2597552? 5 What is the thousands digit of 22272? 2 What is the hundreds digit of 38609445? 4 What is the hundred thousands digit of 4325388? 3 What is the ten thousands digit of 341282? 4 What is the ten thousands digit of 156935? 5 What is the hundred thousands digit of 14280797? 2 What is the tens digit of 682464? 6 What is the tens digit of 13307678? 7 What is the hundred thousands digit of 983897? 9 What is the units digit of 2395071? 1 What is the tens digit of 239288? 8 What is the units digit of 57415? 5 What is the units digit of 1966253? 3 What is the units digit of 282590? 0 What is the units digit of 493784? 4 What is the units digit of 1082171? 1 What is the tens digit of 427309? 0 What is the tens digit of 4891629? 2 What is the units digit of 10988421? 1 What is the tens digit of 8893831? 3 What is the tens digit of 11710153? 5 What is the thousands digit of 1153894? 3 What is the hundreds digit of 22073062? 0 What is the thousands digit of 6724741? 4 What is the millions digit of 13486796? 3 What is the hundred thousands digit of 11586179? 5 What is the hundred thousands digit of 3977893? 9 What is the tens digit of 3208162? 6 What is the hundred thousands digit of 4676273? 6 What is the ten thousands digit of 3037014? 3 What is the thousands digit of 9727148? 7 What is the tens digit of 980144? 4 What is the hundreds digit of 362151? 1 What is the tens digit of 298493? 9 What is the ten thousands digit of 206960? 0 What is the tens digit of 1903809? 0 What is the ten thousands digit of 192415? 9 What is the hundred thousands digit of 326453? 3 What is the hundred thousands digit of 5096650? 0 What is the ten thousands digit of 1935961? 3 What is the thousands digit of 80749? 0 What is the hundreds digit of 427616? 6 What is the units digit of 332502? 2 What is the ten thousands digit of 129611? 2 What is the millions digit of 40774864? 0 What is the tens digit of 1005148? 4 What is the hundred thousands digit of 106487? 1 What is the hundreds digit of 19390492? 4 What is the thousands digit of 1487481? 7 What is the units digit of 668329? 9 What is the tens digit of 305671? 7 What is the hundreds digit of 591551? 5 What is the hundreds digit of 19515995? 9 What is the hundred thousands digit of 352006? 3 What is the millions digit of 3922477? 3 What is the ten thousands digit of 585245? 8 What is the hundred thousands digit of 122208? 1 What is the thousands digit of 9732381? 2 What is the tens digit of 10862? 6 What is the hundreds digit of 1016852? 8 What is the millions digit of 3342485? 3 What is the ten thousands digit of 10294364? 9 What is the tens digit of 158308? 0 What is the units digit of 4394213? 3 What is the ten thousands digit of 1249406? 4 What is the hundreds digit of 117483? 4 What is the ten thousands digit of 1923912? 2 What is the hundreds digit of 14030264? 2 What is the ten thousands digit of 9853969? 5 What is the millions digit of 3458867? 3 What is the thousands digit of 623580? 3 What is the millions digit of 7017499? 7 What is the units digit of 1502926? 6 What is the thousands digit of 541355? 1 What is the hundred thousands digit of 273888? 2 What is the hundred thousands digit of 164215? 1 What is the units digit of 1656017? 7 What is the thousands digit of 1376983? 6 What is the hundred thousands digit of 4237079? 2 What is the units digit of 5203707? 7 What is the tens digit of 66151? 5 What is the hundred thousands digit of 164217? 1 What is the units digit of 319897? 7 What is the hundred thousands digit of 756362? 7 What is the tens digit of 215112? 1 What is the tens digit of 75015? 1 What is the thousands digit of 169579? 9 What is the hundred thousands digit of 277138? 2 What is the thousands digit of 3344368? 4 What is the tens digit of 1300862? 6 What is the thousands digit of 8531638? 1 What is the ten thousands digit of 607746? 0 What is the millions digit of 1060691? 1 What is the thousands digit of 394602? 4 What is the hundreds digit of 1574895? 8 What is the hundreds digit of 204597? 5 What is the thousands digit of 2496572? 6 What is the tens digit of 2768110? 1 What is the units digit of 4839874? 4 What is the ten thousands digit of 439918? 3 What is the thousands digit of 299881? 9 What is the hundred thousands digit of 1677600? 6 What is the tens digit of 13389915? 1 What is the tens digit of 28814076? 7 What is the units digit of 5439420? 0 What is the ten millions digit of 23959582? 2 What is the hundred thousands digit of 477442? 4 What is the hundred thousands digit of 405848? 4 What is the units digit of 4629691? 1 What is the tens digit of 7955111? 1 What is the ten millions digit of 33312888? 3 What is the millions digit of 2128307? 2 What is the thousands digit of 45184? 5 What is the units digit of 2510062? 2 What is the hundred thousands digit of 159139? 1 What is the hundred thousands digit of 1064416? 0 What is the thousands digit of 923363? 3 What is the units digit of 299746? 6 What is the thousands digit of 196278? 6 What is the thousands digit of 2776648? 6 What is the hundreds digit of 192534? 5 What is the units digit of 5676151? 1 What is the hundreds digit of 18354? 3 What is the millions digit of 23117398? 3 What is the hundreds digit of 323951? 9 What is the thousands digit of 21821988? 1 What is the units digit of 6525015? 5 What is the units digit of 122461? 1 What is the thousands digit of 1623007? 3 What is the units digit of 5822751? 1 What is the units digit of 11942621? 1 What is the hundreds digit of 558329? 3 What is the tens digit of 213526? 2 What is the thousands digit of 855987? 5 What is the thousands digit of 7911226? 1 What is the hundreds digit of 5291007? 0 What is the tens digit of 341039? 3 What is the hundred thousands digit of 187472? 1 What is the units digit of 1044450? 0 What is the hundreds digit of 1877694? 6 What is the thousands digit of 576145? 6 What is the hundreds digit of 312690? 6 What is the ten thousands digit of 2473541? 7 What is the ten thousands digit of 120742? 2 What is the tens digit of 465757? 5 What is the tens digit of 112260? 6 What is the ten thousands digit of 20476081? 7 What is the units digit of 4017968? 8 What is the thousands digit of 6380247? 0 What is the hundreds digit of 341601? 6 What is the thousands digit of 839687? 9 What is the units digit of 359156? 6 What is the ten thousands digit of 4411398? 1 What is the tens digit of 127923? 2 What is the ten thousands digit of 14295328? 9 What is the units digit of 364928? 8 What is the tens digit of 2093889? 8 What is the thousands digit of 17150? 7 What is the ten thousands digit of 366238? 6 What is the ten thousands digit of 4788384? 8 What is the millions digit of 1547627? 1 What is the units digit of 237330? 0 What is the thousands digit of 1742665? 2 What is the ten thousands digit of 522094? 2 What is the millions digit of 7090321? 7 What is the hundred thousands digit of 13680773? 6 What is the hundreds digit of 209795? 7 What is the thousands digit of 12107034? 7 What is th
{ "pile_set_name": "DM Mathematics" }
hat is v rounded to three dps? 0.005 Let u = 25 + -22. Suppose 4*h - 54 = -2*v, -u*v - 5*h = 2*v - 120. Suppose 16*s - v*s + 39000 = 0. What is s rounded to the nearest one thousand? 8000 Let y = -5 - -8. Suppose y*l - 6 = -0. Let a be (3 + 598)*18802 - l. Round a to the nearest one million. 11000000 Let m = 1638.5963 - -0.4037. Let i = -1646.99 + m. Let v = 8.6 + i. Round v to 1 decimal place. 0.6 Let s = -6.9596 - -6.88. What is s rounded to 2 decimal places? -0.08 Suppose -16*u = -71*u - 918500. What is u rounded to the nearest 100000? 0 Let y = 4.9 - 28.9. Let p = -24.000017 - y. What is p rounded to 6 dps? -0.000017 Let a = 0.0943 + 0.002. What is a rounded to 2 dps? 0.1 Let z = -29.64 + 30. Let b = -0.5 - z. Let l = b - 8.34. What is l rounded to the nearest integer? -9 Let a(x) = 285713*x**2 - 10*x - 7. Let y(v) = 571426*v**2 - 20*v - 14. Let m(j) = 13*a(j) - 6*y(j). Let i be m(-7). Round i to the nearest one million. 14000000 Let x = -1.8163 - -1.72. Let r = x + 0.101. What is r rounded to 3 dps? 0.005 Let z(g) = g**3 + g**2 - g + 2006. Let r be z(0). Suppose 0*k + 3*j = 4*k + 5350, -2680 = 2*k - 4*j. Let q = r + k. Round q to the nearest one hundred. 700 Suppose 105*f - 27*f - 443820000 = 0. What is f rounded to the nearest one million? 6000000 Let f = 0.022 - -24.978. Let p = -24.48 + f. Round p to 1 dp. 0.5 Let r be (3 + 4/(-8))*2. Let u be 1199999 + -2 - (2 - r). What is u rounded to the nearest 1000000? 1000000 Let z = -82.059 - -82. Let d = -0.06132 - z. What is d rounded to 4 decimal places? -0.0023 Let p = 10713 + -31813. What is p rounded to the nearest one thousand? -21000 Let a = 0.472 - 0.47199323. Round a to 7 decimal places. 0.0000068 Let o = -417 + 417.0202. What is o rounded to two dps? 0.02 Let i be 2/(-3)*1*-3 - 4. Let t be (i/(2/2) - -891) + 2. Round t to the nearest one hundred. 900 Let n(w) = 1215*w**3 + 3*w**2 + 4*w. Let h = 87 - 75. Let m be n(h). Round m to the nearest one million. 2000000 Let x = -1.6070001684 - -1.607. What is x rounded to seven dps? -0.0000002 Let m(v) = 951486*v + 122. Let u be m(-27). What is u rounded to the nearest one million? -26000000 Let n = -290.98328 + 291. What is n rounded to two decimal places? 0.02 Suppose -z + 0*z - 6 = 0. Let v be z*(14/6 - 3). Let w be -25999 + 2 - (v - 1). Round w to the nearest ten thousand. -30000 Let a = 391.7508 + -392. Round a to two dps. -0.25 Let t = 0.085 - 3.285. Let m = t + 0.7. Round m to zero dps. -3 Let s = 28.77 + 0.23. Let i = -0.240995 - 28.758485. Let b = s + i. Round b to four decimal places. 0.0005 Let z = -18.9 + 18.9000735. Round z to 5 decimal places. 0.00007 Suppose 10 = -4*u + 2*z, u - z = 4*z - 7. Let h be 5 + u - (2664 + -1). Round h to the nearest one thousand. -3000 Let h = -2 - 1. Let q be (1/h)/(5/(-45)). Let k be (-20097)/(-3) + q - 2. Round k to the nearest one thousand. 7000 Let r = 131912368.0000011 - 131912376. Let s = 7.83 - -0.17. Let k = s + r. Round k to 7 dps. 0.0000011 Let g = -5585063.000525 - -5584970. Let b = g + 93. What is b rounded to five dps? -0.00053 Let t = -3.24 - -3.240000172. What is t rounded to 7 dps? 0.0000002 Let d = -2006 + 2537.9. Let o = -538.062 + d. Let p = o - 0.038. Round p to the nearest integer. -6 Let t = -502.9533 - -503. Round t to three dps. 0.047 Suppose 0*z + 4*z = 16. Suppose m - z*b = -m + 3260, -4*m = -b - 6499. Suppose -5*f = 1826 + m. What is f rounded to the nearest one hundred? -700 Let k(x) = 136*x**2 - 121*x + 12. Let p be k(41). Let y(f) = -f + 7. Let j be y(5). Suppose -p = -j*o + 2036333. What is o rounded to the nearest 100000? 1100000 Let z = -393029.403 - -392664. Let x = z + 365. What is x rounded to one dp? -0.4 Let t = 9263.345 + -9293. Let b = t - -30. What is b rounded to two decimal places? 0.35 Let q = 1.8 - 1.672. Let u = -15.369034 - -15.49703538. Let d = u - q. Round d to 7 decimal places. 0.0000014 Let o = -0.09384 - -0.071. Round o to three dps. -0.023 Let w = 785019 + -785025.300048. Let i = w - -6.3. What is i rounded to 4 decimal places? 0 Let p = 0.058 - 0.031. Let y = p + -0.0222. Round y to two decimal places. 0 Let n = 9462176 + -19412176. What is n rounded to the nearest 1000000? -10000000 Let o = 14.15 - -7.25. What is o rounded to 1 dp? 21.4 Let s = 269852 + -269557.294. Let z = s + -295. What is z rounded to two decimal places? -0.29 Let a(v) = 3453290*v + 8 - 13 - 1033289*v. Suppose -3*i - 2*i = -25. Let w be a(i). What is w rounded to the nearest 1000000? 12000000 Suppose -322 = -4*n - 1582. Let q be n/(-2)*(-2080)/78. What is q rounded to the nearest one hundred? -4200 Let q = 0.0115 - 0.1033. Let a = q + 0.24124. Let b = a + -0.15. What is b rounded to 4 decimal places? -0.0006 Let f = 11.983 - 12. Let s = 3.1 + -3. Let o = s - f. What is o rounded to 2 decimal places? 0.12 Suppose 0 = 59*f - 53*f - 884400. What is f rounded to the nearest ten thousand? 150000 Let b(v) = 7237*v - 33. Let t = 29 + -20. Let m be b(t). Round m to the nearest 10000. 70000 Let v be (-119)/(-17)*((-1016)/(-28) + 0). What is v rounded to the nearest ten? 250 Let j = 191.427 - 191. What is j rounded to 1 dp? 0.4 Suppose -1163120 - 500926 = 2*n. Let c = n - -1402023. What is c rounded to the nearest one hundred thousand? 600000 Let m = -0.308 - 0.082. Let c = m - -0.38988. Round c to 5 dps. -0.00012 Let b be (4/(-3))/((-10)/(-315)). Let p = -16 - 46. Let v = b - p. What is v rounded to the nearest 100? 0 Let f = 29 - -48. Let h = f - 77.00132. Round h to four decimal places. -0.0013 Let s = -7517.981 - -7515.1810052. Let g = 33.2 + -36. Let k = s - g. Round k to 6 decimal places. 0.000005 Let o = -10.51 + 11.1. Let c = 0.618 - o. Round c to 2 decimal places. 0.03 Let t = -44 - -95. Let j be 6 + (0 - (-1 - -3)). Suppose o = j*o + t. Round o to the nearest ten. -20 Let k = -6161734 + 8668172. Let i = -2506433.399961 + k. Let y = i - 4.6. What is y rounded to 5 decimal places? 0.00004 Let k = -1463 + 1462.980938. Let z = -0.019 - k. Round z to five dps. 0.00006 Suppose -9*k + 60 = -4*k. Let m be (200/k)/((-3)/(-48600)). Round m to the nearest 10000. 270000 Let n = -2.04 + 2.0403. What is n rounded to 3 decimal places? 0 Let w = 8.33000407 - 8.33. Round w to 7 decimal places. 0.0000041 Let u = -1386 + 1513. Round u to the nearest ten. 130 Let z be 1/(-4)*-4 - 2. Let o(b) = 60*b**3 + b**2 - b - 1. Let a be o(z). Let u = a + 16. What is u rounded to the nearest ten? -40 Let n be (309300/70)/((-3)/21). What is n rounded to the nearest 1000? -31000 Let h = 5 + -15. Let x = 9.945 + h. What is x rounded to 2 dps? -0.06 Let i(c) = -2*c + 11 - 8 - 5. Let l be i(-3). Suppose 5*x + 2*n + 38010 = 0, x = -l*n + 2*n - 7610. Round x to the nearest one thousand. -8000 Let j be (-4)/(-14) + (-24294056)/(-14). Suppose -3*n + j = 2*n. Suppose -212942 = -2*g + n. What is g rounded to the nearest one hundred thousand? 300000 Let w = -313.000000725 + 313. What is w rounded to 7 decimal places? -0.0000007 Let q be (-4)/(-4) - (-59999978 - 1). Suppose -4*a - q = -5*j, -a + 6*a = -4*j - 75000016. What is a rounded to the nearest one million? -15000000 Let w = -206 + 198.4. Round w to zero dps. -8 Suppose 0 = -2*b + r + 1662000, 4*b + 5*r - r - 3324000 = 0. Round b to the nearest 10000. 830000 Let i = 147 - 146.818. Round i to one dp. 0.2 Suppose 15 = 5*q, -2*q = 4*b - 10 - 0. Let s be (-6)/(-12)*(-3 + b). Let u be 125003 - 4 - 1/s. What is u rounded to the nearest ten thousand? 130000 Let p = 24484.936931 + -24496.637. Let s = -11.7 - p. Round s to 5 dps. 0.00007 Let d = -353 - 1314. What is d rounded to the nearest 10? -1670 Let b = 0.718709 - 0.719. What is b rounded to five dps? -0.00029 Let i(w) = w**2 + w + 3. Let n be i(-5). Let x = -13 + n. Let a be 27/(0 + (-1)/x). What is a rounded to the nearest one hundred? -300 Let d = 3 + -2.9. Let c = -97 - -97.04. Let u = c - d. What is u rounded to 1 decimal place? -0.1 Suppose -2*s + 881 = -6183. Suppose 4*j - 1332 + s = 0. What is j rounded to the nearest one hundred? -600 Let w(k) = -k + 19. Let v be w(10). Let p(m) = 634972*m + 9. Let h be p(v). Let j = 3014757 - h. What is j rounded to the nearest 1000000? -3000000 Suppose -6 = 3*f, -2*f + 339907 = 4*d - 10040089. Round d to the nearest 100000. 2600000 Let q = -36.3168 + 37. Round q to 2 d
{ "pile_set_name": "DM Mathematics" }
actor of 96909131? False Does 12 divide 8625324? True Is 139 a factor of 14737336? True Is 3 a factor of 16368774? True Is 304341399 a multiple of 4283? False Is 29756994 even? True Is 53168370 a multiple of 895? True Is 680379 a multiple of 179? True Does 225 divide 5667427241? False Is 11 a factor of 109011402? False Is 677 a factor of 44526213? False Does 10 divide 25027280? True Is 282402120 a multiple of 1560? True Is 117 a factor of 2987161? False Does 77 divide 2661009731? False Does 18 divide 599362938? True Does 14 divide 165418708? True Does 39 divide 21401455? False Is 439995085 a multiple of 89? True Is 205752550 a multiple of 165? False Does 8528 divide 3967810744? False Is 1300302 a multiple of 94? True Is 81198176 a multiple of 855? False Does 2903 divide 1922410145? True Is 35098473 a multiple of 628? False Is 15 a factor of 11869065? True Does 13 divide 312611? True Is 1798 a factor of 55025992? True Does 39 divide 41990403? True Does 6 divide 393620640? True Is 1973 a factor of 266232761? False Is 26760179 a multiple of 212? False Is 2495982 a multiple of 643? False Is 20036716 a multiple of 2? True Does 24 divide 410397576? True Is 7 a factor of 75186345? False Is 333 a factor of 7645222? False Is 52 a factor of 326547832? True Is 21099044 a multiple of 361? False Does 1365 divide 76816740? True Does 6190 divide 457323390? True Is 13482346 a multiple of 2? True Does 4 divide 300489? False Is 33 a factor of 33195756? True Is 16618138 a multiple of 3? False Is 1377064225 a multiple of 1648? False Is 919 a factor of 48462546? True Does 83 divide 139841964? False Is 1734004190 a multiple of 1260? False Is 185112810 a multiple of 12? False Is 600 a factor of 1629600? True Does 35 divide 50119090? True Is 1401 a factor of 48737988? True Does 299 divide 802263919? False Is 763 a factor of 8951584? False Is 24487001 a multiple of 8? False Does 138 divide 467849118? True Does 1311 divide 108204201? False Is 7919436 a multiple of 42? True Does 1877 divide 29053105? False Is 2484 a factor of 120379608? True Does 337 divide 1392850799? False Is 58671329 a multiple of 82? False Is 1060597 a multiple of 36? False Is 578 a factor of 1102698187? False Is 5 a factor of 2111205? True Does 1563 divide 7868142? True Is 168061351 a multiple of 67? False Is 1042580 a multiple of 44? True Is 101426358 a multiple of 31? True Is 63353776 a multiple of 4? True Is 22 a factor of 130854218? True Is 96445275 a multiple of 1981? False Is 3091999278 a multiple of 35? False Is 14973307 a multiple of 550? False Is 941054424 a multiple of 164? False Does 332 divide 918855114? False Is 62 a factor of 550563782? True Is 11160985 a multiple of 420? False Is 92 a factor of 487647536? False Is 184796127 a multiple of 5569? True Does 22 divide 17990258? True Does 109 divide 13812278? False Does 51 divide 1174425? False Is 232549710 a multiple of 12? False Does 199 divide 304022051? True Is 3 a factor of 43415034? True Does 9114 divide 1423777938? False Is 2285774712 a multiple of 2652? True Is 1904 a factor of 493136? True Is 1838307310 a multiple of 12? False Does 38 divide 866719109? False Is 1239 a factor of 59340666? True Is 47619852 a multiple of 399? True Does 21 divide 160413177? False Is 523 a factor of 32763858? True Does 51 divide 23542901? False Does 890 divide 37624854? False Is 22559034 a multiple of 730? False Is 37 a factor of 1476041? True Does 386 divide 2758861660? True Is 9940698 a multiple of 9? True Does 31 divide 598726498? True Is 2158 a factor of 3501155126? False Is 648585762 a multiple of 17? False Is 4883 a factor of 1242391456? True Is 996626340 a multiple of 9? True Is 1416 a factor of 112826880? True Does 18 divide 924298146? True Does 21 divide 45302040? True Is 4450451929 a multiple of 21? False Is 39 a factor of 379290332? False Is 9217 a factor of 433062610? False Does 9 divide 36063972? True Is 302846700 a multiple of 1159? True Is 5679215 a multiple of 249? False Is 62397424 a multiple of 47? False Is 3461 a factor of 1149150563? False Is 258 a factor of 155285814? True Is 2241 a factor of 594135249? False Is 5 a factor of 966193831? False Is 16 a factor of 1186262384? True Is 2611440 a multiple of 2340? True Is 38613153 a multiple of 17? False Is 2046057916 a multiple of 919? False Is 63162000 a multiple of 60? True Is 76 a factor of 258814323? False Does 40 divide 10563982? False Is 66 a factor of 1071774? True Is 3 a factor of 102483710? False Does 65 divide 714531? False Is 87 a factor of 99593598? True Is 16 a factor of 67368496? True Is 247078352 a multiple of 1811? True Does 167 divide 958475792? True Is 224144363 a multiple of 30? False Is 287 a factor of 561152732? True Is 1672 a factor of 130837344? True Does 9 divide 71118919? False Is 19019004 a multiple of 706? False Does 82 divide 33365554? True Does 345 divide 180309982? False Is 151991376 a multiple of 2004? True Does 37 divide 78109163? False Is 12 a factor of 217613793? False Is 3166 a factor of 1042088849? False Does 2 divide 12640241? False Is 880 a factor of 6098229? False Is 262 a factor of 68607335? False Is 682 a factor of 7083252? True Is 8 a factor of 31529296? True Is 114789328 a multiple of 808? True Is 134 a factor of 3015233405? False Is 2160951010 a multiple of 278? False Is 56 a factor of 7895832? True Is 123810312 a multiple of 21? False Is 6436098 a multiple of 153? True Does 3134 divide 341570085? False Does 655 divide 23113076? False Does 3 divide 117935760? True Does 259 divide 7197796? False Is 77 a factor of 474790239? True Is 3118080252 a multiple of 84? True Does 998 divide 27517010? False Does 15 divide 330285585? True Is 1153 a factor of 86087324? False Does 19 divide 310439? False Is 20675136 a multiple of 514? True Is 792392867 a multiple of 2989? True Is 833 a factor of 959606004? True Is 166966139 a multiple of 115? False Is 717866656 a multiple of 47? False Does 14 divide 82718933? False Is 545 a factor of 98517364? False Is 98424958 a multiple of 23? True Is 37 a factor of 1161818803? False Is 10825607 a multiple of 13? True Is 19 a factor of 63817227? False Is 4 a factor of 51101167? False Is 30 a factor of 760181057? False Does 20 divide 10398739? False Does 26 divide 3224122578? False Is 4816080 a multiple of 240? True Is 139 a factor of 157539173? False Is 3615274095 a multiple of 374? False Is 68291180 a multiple of 853? True Is 183 a factor of 62465403? True Does 75 divide 20614934? False Is 21 a factor of 34354256? False Is 203319729 a multiple of 2979? True Is 128 a factor of 275000320? True Is 27 a factor of 2299212? True Does 168 divide 397302401? False Is 794 a factor of 461385989? False Is 6 a factor of 1998372? True Is 4 a factor of 77240044? True Is 60 a factor of 733577580? True Is 40165645 a multiple of 13? True Does 53 divide 1839972115? True Is 38629110 a multiple of 962? True Is 373438994 a multiple of 23? True Is 1848455516 a multiple of 24? False Is 34594269 a multiple of 969? True Is 187 a factor of 57229618? False Is 30787830 a multiple of 202? True Does 185 divide 1075486400? True Is 272649870 a multiple of 45? True Is 8 a factor of 30375952? True Is 27 a factor of 2291045335? False Is 33171516 a multiple of 12? True Does 2465 divide 1178814765? True Is 76 a factor of 523510724? True Is 16 a factor of 20895776? True Does 13 divide 1455292933? False Is 7 a factor of 19036066? True Is 397 a factor of 153845157? False Is 51 a factor of 56433285? True Is 471055392 a multiple of 9? True Is 253297999 a multiple of 26? False Is 5 a factor of 41858381? False Does 231 divide 268067646? True Is 168668602 a multiple of 10? False Is 9207780 a multiple of 1558? True Is 658501004 a multiple of 1372? True Is 42 a factor of 15346301? False Is 9302726 a multiple of 119? False Is 392 a factor of 2864124088? True Does 54 divide 396969238? False Is 1909 a factor of 67919489? False Is 32822527 a multiple of 211? True Is 196 a factor of 50368384? False Is 83 a factor of 858613918? True Is 554 a factor of 529458280? False Is 53 a factor of 92122469? False Does 1639 divide 179302395? False Is 79646608 a multiple of 309? False Is 1443 a factor of 11079354? True Is 538069246 a multiple of 418? True Does 241 divide 178965004? Fa
{ "pile_set_name": "DM Mathematics" }
Let b(h) = 36*h**2. Suppose -22*r - 224 = -30*r. Let l(s) = 5*s - 28 - 3*s + r. What is l(b(a))? 72*a**2 Let k(a) be the third derivative of 7/12*a**4 + 65*a**2 + 0 + 0*a + 0*a**3. Let j(s) = 4*s**2. Give k(j(g)). 56*g**2 Let c(l) = -3*l**2. Let w(k) = -39892638*k**2. What is w(c(t))? -359033742*t**4 Let w(s) = -7*s**2. Suppose 0 = 10*m - 15*m + 3*d + 81, 3*m - 4*d - 53 = 0. Let y(i) = -m*i**2 - 7 - 12 + 19. What is y(w(u))? -735*u**4 Let y(j) be the third derivative of 19*j**4/24 - j**2. Let i(r) = 9*r + 17*r - 42*r + 18*r. Determine y(i(f)). 38*f Let k(w) = -w + 61. Let z(s) be the first derivative of -11*s**2/2 + 334. What is k(z(h))? 11*h + 61 Let z(b) = 855*b. Let m(d) = -30*d**2 - 64*d - 1. What is z(m(s))? -25650*s**2 - 54720*s - 855 Let k(z) = -57*z**2 - 5*z + 10. Let c(p) = 1739*p + 221*p**2 + 63*p**2 - 1715*p - 48. Let r(f) = 5*c(f) + 24*k(f). Let m(i) = -i. Give m(r(n)). -52*n**2 Let w(l) = 538*l - 4. Let b(a) = -1748*a + 13. Let r(n) = 4*b(n) + 13*w(n). Let o(x) be the third derivative of -11*x**4/24 + x**3/6 + 3*x**2. Give r(o(z)). -22*z + 2 Let f(m) = -5*m. Let w(j) = 30*j**2 - 4*j + 8. Let p(l) = 1352*l**2 - 182*l + 364. Let n(r) = 2*p(r) - 91*w(r). Give n(f(h)). -650*h**2 Let j(p) = -20*p**2 + 39. Let m(u) = -5*u**2 - 9*u + 2. What is m(j(x))? -2000*x**4 + 7980*x**2 - 7954 Suppose 0 = -128*x - 13*x. Let d(v) be the second derivative of 0*v**3 + 0 + 13*v + x*v**2 - 1/2*v**4. Let y(n) = -n**2. What is d(y(a))? -6*a**4 Let l be (18/33)/(21/154). Let h(w) = 3*w**2 + 8*w. Let t(s) = -s**2 - 2*s. Let o(r) = l*t(r) + h(r). Let d(c) = -c + 3. Calculate o(d(a)). -a**2 + 6*a - 9 Let i(u) = -u - 55. Let a(x) be the third derivative of 0*x**3 + 0 - 1/15*x**5 + 0*x**4 + 0*x + 96*x**2. Determine a(i(l)). -4*l**2 - 440*l - 12100 Let r(g) be the second derivative of -113*g**4/12 - 150*g + 2. Let n(a) be the second derivative of a**3/3 + 33*a. Determine r(n(s)). -452*s**2 Suppose 0 = 5*k + 8*k - 26. Let d be k + 16 + (-2 - -1). Let s(w) = 5*w - 23*w - d*w. Let v(o) = o. Calculate v(s(u)). -35*u Suppose 4*j + 5*m - 403 = 1315, -2*m = -4*j + 1732. Let d be ((-6)/8 + 2)/(4/j). Let z(f) = 63*f + 72*f - d*f + 20*f**2. Let l(r) = -3*r. Determine l(z(g)). -60*g**2 Let y(q) = 1695*q**2. Let g(p) = -752526 + p**2 + 752526. Determine g(y(x)). 2873025*x**4 Let j(l) = -l**2. Let q(k) be the second derivative of 445*k**4/2 + 5361*k. Give q(j(h)). 2670*h**4 Let p(s) = 2*s**2. Let i = 25 + -32. Let w(f) = -2*f**2 - 13*f + 9. Let h be w(i). Let g(t) = -7*t**h + 10*t**2 + 16*t**2. Give g(p(c)). 76*c**4 Let d(w) = 12548536*w**2. Let k(y) = -2*y**2. Calculate k(d(v)). -314931511486592*v**4 Let s(y) = 58762*y + 14. Let o(b) = 2*b. Determine s(o(r)). 117524*r + 14 Let i(r) be the first derivative of -14*r**2 - 1. Suppose 4*n = -5*q + 65, 5*n - 2*q - 11 = 29. Let c(g) = -4 - n*g + 9*g + 3 + 1. Calculate c(i(z)). 28*z Let v(l) = 2090*l + 308. Let g(k) = -80*k - 12. Let s(o) = -154*g(o) - 6*v(o). Let x(r) = -3*r**2. Give s(x(n)). 660*n**2 Let b(t) = -48034661*t. Let r(a) = a. What is r(b(i))? -48034661*i Let t(d) = 152*d**2 - 22*d + 22. Let b(z) = -7*z**2 + z - 1. Let j(m) = 44*b(m) + 2*t(m). Let l(w) = -743*w**2. Calculate j(l(s)). -2208196*s**4 Let b(i) = 2*i. Let f(w) = -8487*w - 5726. Determine f(b(g)). -16974*g - 5726 Suppose 5*r + t + t - 167 = 0, 0 = -4*r - 4*t + 124. Let m = r - 32. Let d(w) = m*w**2 - 4*w + 4*w. Let h(k) = 6*k**2. Determine d(h(z)). 108*z**4 Let g(x) = x - 37. Let n(u) = 42*u**2 - 45*u - 15. Let t(k) = -6*k**2 + 6*k + 2. Let j(h) = -2*n(h) - 15*t(h). Calculate j(g(b)). 6*b**2 - 444*b + 8214 Let f(h) = 16*h - 496 + 275 - 15*h + 221. Let a(m) = 9*m + 72. Give a(f(r)). 9*r + 72 Let r(w) = 2536*w - 11. Let g(m) = 273*m. What is g(r(j))? 692328*j - 3003 Let i(d) be the first derivative of 13*d**2/2 + 6*d + 332. Let w(z) = 3*z + 4*z - 2*z - 3*z. Give i(w(o)). 26*o + 6 Let w(i) = 192*i**2. Let l(r) be the third derivative of r**6/180 - 136*r**3/3 - 291*r**2. Let d(s) be the first derivative of l(s). Give w(d(x)). 768*x**4 Let p(o) = -2*o**2 + 13*o. Let y(m) = -109*m + 411. What is y(p(n))? 218*n**2 - 1417*n + 411 Let c be 19 + (-11)/(22/14). Let p(f) = -3*f**2 + c*f**2 - 2 + 46*f**2 + 53*f**2. Let b(y) = -2*y**2. What is p(b(v))? 432*v**4 - 2 Let g(q) = -2*q. Let d(s) = -3372*s + 1937 - 2113*s + 1611*s - 98191*s**2. Let r(c) = -304*c**2 - 12*c + 6. Let p(t) = 6*d(t) - 1937*r(t). What is g(p(b))? 596*b**2 Let h(x) = -149*x**2 + x. Let k(y) be the third derivative of -y**5/60 + 1056*y**2. Give h(k(f)). -149*f**4 - f**2 Let c(n) = n**3 - 4*n**2 - 9*n - 13. Let h be c(6). Let w(r) = -h*r + 6*r + r. Let t(a) = a. Give t(w(x)). 2*x Let j(z) = 71985319*z**2. Let a(c) = -2*c**2. What is a(j(s))? -10363772303063522*s**4 Let t(j) = -31*j**2 - 167*j**2 - 89*j**2. Let s(p) be the third derivative of p**5/60 + 5824*p**2. Calculate s(t(d)). 82369*d**4 Let x(m) = 33422*m**2. Let n(v) = -33839*v**2. Calculate n(x(u)). -37799181012476*u**4 Let b(c) be the third derivative of -149*c**5/4 - 2*c**2 + 3054*c + 2. Let m(i) = -3*i**2. What is b(m(h))? -20115*h**4 Let d be (-3 + -1 - -43239) + -1 + 3. Let c(v) = -d + 2*v**2 - 19*v**2 + 43237. Let r(a) = -a**2. Give r(c(n)). -289*n**4 Let s(u) = 28*u. Let a(i) = 17*i - 6. Let n(z) = -3 + 33*z - 19*z - 2. Let b(o) = 5*a(o) - 6*n(o). Calculate b(s(l)). 28*l Let a(z) = 2*z**2. Let t(v) = 41969921*v**2. Determine a(t(n)). 3522948537492482*n**4 Let p(t) = 3*t. Suppose -92*x = 28 - 188 - 24. Let w(a) be the third derivative of 0*a**3 + 0*a + 29/24*a**4 - 40*a**x + 0. Calculate p(w(l)). 87*l Let h(l) be the second derivative of -2*l**3 + 22530*l. Let g(s) be the third derivative of -s**5/60 - 3*s**2. Give h(g(p)). 12*p**2 Let j(w) = 139844492*w + 2. Let r(f) = -2*f. What is r(j(o))? -279688984*o - 4 Let g(f) = f. Let r(m) = -2419*m + 39118. Determine g(r(w)). -2419*w + 39118 Let d(k) = 5*k**2. Let f(l) = 2020039*l**2. What is d(f(m))? 20402787807605*m**4 Let a(g) be the third derivative of g**5/15 - 9*g**2. Let n(u) = -79*u. Let m(o) = -2223*o. Let r(l) = -6*m(l) + 169*n(l). Determine a(r(v)). 676*v**2 Let w = -64 - -65. Suppose c + w = 2, 2*c = -5*x + 557. Let m(f) = x*f - 58*f - 57*f. Let n(t) = -2*t**2. Give m(n(h)). 8*h**2 Let r(i) = i. Let t(h) = -9*h + 2348. Let j(c) = 5*c - 1174. Let u(b) = -10*j(b) - 6*t(b). Calculate r(u(x)). 4*x - 2348 Let x(l) = -54*l. Let i(h) = -12 - 7*h - 32 + h + 41. Determine x(i(g)). 324*g + 162 Let r(y) = 7*y - 2. Let v(b) = 229*b - 38. What is r(v(j))? 1603*j - 268 Suppose 4*c - 80 = -0*c. Let s be 2/10 - 6*(-6)/c. Let n(d) = 78 - 78 + 3*d**s. Let h(a) = 15*a. Determine n(h(o)). 675*o**2 Let y(c) = -2*c. Let a = -19035 + 29319. Let w(x) = a + 24*x - 10284. What is w(y(h))? -48*h Let w(l) = -24 + 24 + 0 + 9*l**2 - 8*l**2. Let r be (-3)/(-2)*42/9. Let j(s) = -r + 3 + 2*s + 2*s + 3. Give w(j(x)). 16*x**2 - 8*x + 1 Let n(j) be the second derivative of -5*j**4/6 - j - 890. Let s(b) = -103*b. What is n(s(v))? -106090*v**2 Let m(q) = -44997*q**2 + 48. Let y(j) = -9*j. Determine m(y(z)). -3644757*z**2 + 48 Let d(k) be the first derivative of 2*k**3/3 - 1. Let s(h) = -8*h. Let j = 238 + -232. Let b(m) = 31*m. Let c(a) = j*s(a) + b(a). Calculate c(d(f)). -34*f**2 Suppose -971 + 881 = -9*n. Let a(x) = n*x - 2*x - 12*x**2 - 7*x - x. Let z(y) = 17*y. What is z(a(q))? -204*q**2 Let t(b) = -5*b. Let f(i) = 326*i**2 - 12*i - 14. Let a(y) = 339*y**2 - 10*y - 12. Let j(o) = 7*a(o) - 6*f(o). What is t(j(m))? -2085*m**2 - 10*m Let t(d) = -52626*d - 9. Let p(c) = -2*c. Give t(p(a)). 105252*a - 9 Let n(v) = 110*v. Let x(a) = 51*a - 482. Let i be x(10). Let o(d) = 9*d - i - 2*d - 11*d + 28. What is o(n(t))? -440*t Let m(o) = 44*o**2. Let r = 206 - 200. Let u(q) = 2*q + 16*q - 18*q - r*q**2. Give u(m(a)). -11616*a**4 Suppose -38 + 302 = -4*u. Let r = 81 + u. Let f(m) = r*m**2 - 13*m**2 - 3*m + 3*m. Let q(s) = 4*s**2 - 4*s. Determine q(f(z)). 16*z**4 - 8*z**2 Let b(q) = 118*q - 5. Let s(p) = -2145*p + 91. Let n(v) = 91*b(v) + 5*s(v). Let w(m) = m - 176. Give w(n(d)). 13*d - 176 Let x(u) = -67446*u. Let t(m) = -27*m + 26. Determine t(x(k)). 1821042*k + 26 Let v(i) = 31*i. Let n(x) = -96*x**2 + 19*x + 151*x + 28*x**2 - 170*x. What is n(v(w))? -65348*w**2 Let d(m) be the first derivative of 40 + 23 - 14*m**3 + 12*m**3
{ "pile_set_name": "DM Mathematics" }
smallest value? (a) 1/13 (b) w (c) -0.3 (d) 1.8 b Let p = 92 - 92.146. Let v = 0.15011 + -0.05011. What is the third smallest value in p, v, -4/3? v Let z = 2836.5 - 2836.1. Which is the third smallest value? (a) z (b) 1 (c) 83/9 c Suppose 5*p + 32 = -2*u + 6*u, 2*u = -p - 12. Let l be 14/p + (5 - 4). Which is the third smallest value? (a) -5 (b) l (c) -1/4 (d) 1/3 c Suppose -4*r + 141 = 4*o + 221, -5*o = 3*r + 92. Let n = 9065/11 + -823. What is the third biggest value in 2/11, n, o? o Let g = 4/2905 + -30809/11620. Let k = g - -111/40. Let q = 3.2 - 3. What is the smallest value in q, -0.5, k? -0.5 Let l(f) = 196*f + 1963. Let g be l(-10). Which is the biggest value? (a) 1/11 (b) -0.06 (c) g (d) 0 c Let g = -99327.1 + 99327. Let u be (0/1)/(-5 + 3). What is the third biggest value in g, u, 16/3? g Let u be (-8)/40*(0 + -1). Let d be 2 + 8 + 21/(-2). What is the smallest value in u, d, -7? -7 Let i = 1.3 - 1. Suppose 113 = 3*m - 5*d, 0*m + 23 = m + 2*d. Let q = 216/7 - m. Which is the second smallest value? (a) i (b) q (c) -5 b Let v be (-16)/72 + (-89)/(-9). Let a = v - 31/3. What is the third biggest value in 0.1, a, -1, -2? -1 Let i = -6.167 - 1292.833. Which is the third smallest value? (a) i (b) 5 (c) -2 b Let q = -324002/13 - -24923. Which is the smallest value? (a) 1/2 (b) -2 (c) q (d) -0.4 b Let p = 18 - 25. Let m(a) = -16*a - 32. Suppose -3*h - 14*n + 18*n = -14, 5*h = -n - 15. Let j be m(h). What is the biggest value in p, -3, j? j Let w be (5/(-30))/((-20)/150 - (-10)/(-25)). Which is the third biggest value? (a) 5/2 (b) w (c) 1 b Let r = 0.4566 + 0.0434. Let x = 452 - 447. Which is the third biggest value? (a) r (b) 1/3 (c) x (d) -4 b Let m = -74075 + 27185. Let h be m/(-140) - (-2)/(-4). Let n = -335 + h. Which is the fourth biggest value? (a) n (b) -7 (c) 5 (d) -0.2 b Let v be 210/(-63)*(-12)/(-10). Let n be (-31)/93 + (-1 - 32/(-42)). Which is the fourth smallest value? (a) -6/5 (b) n (c) v (d) -0.06 d Let i(y) = 244*y**2 - 41*y + 1. Let q be i(1). Which is the biggest value? (a) -1/11 (b) q (c) -4 b Let y(o) = -7*o**2 - 187*o + 42. Let t be y(-27). Let z = 8663/6 + -2759/2. Let k = z - 63. Which is the second biggest value? (a) k (b) 3 (c) t a Let n = 0 + -0.2. Let t(s) = -37*s + 100. Let p(d) = -71*d + 200. Let y(o) = 6*p(o) - 11*t(o). Let h be y(5). Which is the smallest value? (a) -1 (b) n (c) h a Let m be (17/102)/((-13)/12). Which is the third smallest value? (a) -1 (b) -14/11 (c) 1/4 (d) m d Let f = 0.0737 - -63.3263. Let q = 39.4 + f. Let y = q - 103. Which is the smallest value? (a) y (b) -2 (c) 4/3 b Let p = 3 - 2. Let v = p + -2. Let g = -54530 + 54527. Which is the smallest value? (a) 0.3 (b) g (c) -0.2 (d) v b Let n = 0.0882 + 0.3118. Which is the third smallest value? (a) -419 (b) -2/7 (c) n c Let q = -1.6 + 1.34. Let w = 4.26 + q. What is the biggest value in -0.5, 0.1, w, 1/7? w Let v = 4.245 - 2.245. Which is the fourth smallest value? (a) v (b) 8 (c) -2 (d) 3 b Let u = -76 - -75.711. Let s = u - -0.209. What is the fourth biggest value in 1, -0.1, s, -4? -4 Let r = 24077.4 + -24078. Which is the fourth biggest value? (a) r (b) 3/5 (c) 1 (d) -1/5 (e) -3/10 e Let x = 285 + -287.8. Let l = x + 3.6. Let c = -8/5 - -21/10. What is the smallest value in c, l, 0.4? 0.4 Let n = -174 - -180. Let m be (-129)/43 - (n - (0 - -1)). Let p be 15/6 + 2/(-1). Which is the fourth biggest value? (a) -1 (b) m (c) p (d) 5 b Let x = -1.5284 + 1.9284. Which is the third biggest value? (a) -7.9 (b) -5 (c) -0.4 (d) -46 (e) x b Let n = -269/224 - -11/32. Let m = -280720 - -280723. Which is the second smallest value? (a) n (b) m (c) -4 a Let p = 0.0378 - 2.0478. Let f = 2.3 + p. Let n = f + -0.29. Which is the third smallest value? (a) 1 (b) n (c) -3 a Let w be -1 - (25/10)/5*(-5 - -4). Which is the smallest value? (a) -14/11 (b) 1/3 (c) w (d) 0 (e) 4 a Let n = 32 - 34. Let t be (n + -7)/(2/24). Let o be ((-60)/t)/(5/6). What is the second biggest value in 2, 5, o, -2? 2 Let z be ((-2600)/(-48) + (-20)/(-24))*12/30. What is the third biggest value in -3/4, 5, 14, z, -5? 5 Suppose 44 = -51*t + 62*t. Suppose 4*h - 32 = x, -5*h + t*h - 3*x = 5. What is the third biggest value in -3, h, 0.4, 0.5? 0.4 Suppose -175*c = 693 - 168. What is the third biggest value in -0.3, 11/2, c, 0.2, 2/3? 0.2 Let u = -546.0512 + 0.0512. Let j = 545 + u. Which is the second smallest value? (a) -78 (b) 0.4 (c) j c Let t = 22797 + -22796.5. Which is the biggest value? (a) -1/3 (b) t (c) 2 (d) 4 d Let h = 36.9766 + 0.0234. Let s = -39 + h. Let m = 0.1 + 0. What is the third smallest value in m, 4, s? 4 Let c = 165 + -164.735. Let i = -0.235 - c. What is the biggest value in 3/2, 6, i, -3? 6 Let t be ((-22)/220*25)/(-10). What is the fifth smallest value in 8.8, 3/5, 4/5, t, 2/7? 8.8 Let o = 253.297 - 0.297. Let s = 253.4 - o. Which is the second biggest value? (a) 1/7 (b) -9 (c) 5 (d) s d Let v = 83.1 + -95. Let w = v + 21.2. Let o = w + -5.3. Which is the smallest value? (a) 0 (b) -1/4 (c) -2/7 (d) o c Let g = 7.262 + -0.062. Let f = 7 - g. Let l = 0.25 - 1.25. Which is the third biggest value? (a) l (b) -7 (c) f b Let n = 1 + 39. Let o be (12/n)/(81/45). Which is the biggest value? (a) o (b) -20 (c) -2 a Let x(p) = 57*p**2 - 9*p - 20. Let z be x(-3). Let j be (-4)/(-26) - (-180)/z. Which is the third smallest value? (a) 30 (b) j (c) 4 (d) 0.1 c Let o = -9866 - -9865.8. What is the smallest value in o, -9/8, -3? -3 Let p = 0.11 + -5.11. Let u = 628 + -627.737. Let h = u + -0.263. Which is the biggest value? (a) -1 (b) h (c) 2 (d) p c Let b = -3714.24547 - -10.21747. Let l = -3689 - b. Let o = l + -0.028. What is the second smallest value in o, 4/7, 0? 4/7 Let b = -168.53 + 182.26. What is the second smallest value in b, -0.2, 0? 0 Let p = 18687 + -18683. Which is the third smallest value? (a) -20 (b) p (c) -8 (d) -3 d Let d be (14/665*1)/((-9)/15). Suppose -3*o - 3 = -3*g, 6*g - 3*o + 1 = g. What is the second biggest value in d, 1/2, g? d Let y be (-2)/(-7) + 56979/(-315). Let j = 181 + y. Let t = 2 + -3. Which is the third biggest value? (a) 0.5 (b) j (c) t c Let j = 132 + -94. Let k = 609 - 649. Let l = k + j. Which is the second biggest value? (a) -1/6 (b) -2/7 (c) l b Suppose -5*v - 42 = 3. Let k = -1277.68 + 1277.38. Which is the fourth biggest value? (a) -2 (b) -1 (c) k (d) v d Let j be (-31 - -29) + 140/65. Which is the third biggest value? (a) j (b) -0.4 (c) -6675 c Suppose 5*i = -3*w - 8, -i - 5 = 4*w - 0. Let l be (-3)/((-7)/w*-1) + 0. Which is the second smallest value? (a) 0 (b) l (c) 3/4 b Let v = -1.5 - -2. Let t = 0.28 + 0.12. Suppose 0 = -3*i - q - 1, -2*i = -8*q + 7*q - 1. Which is the smallest value? (a) i (b) t (c) -2 (d) v c Let l = 1210 - 1222.98. Let g = -13 - l. Let m(w) = 2*w + 5. Let v be m(-6). Which is the third smallest value? (a) 5 (b) v (c) g a Let z = 405 + -380. Let r = -337 + 673/2. Which is the fourth biggest value? (a) r (b) 3 (c) z (d) 3/8 a Let n = -373801/19 - -19675. Let j = 1 + -0.8. Which is the third biggest value? (a) n (b) j (c) 1/6 c Let x = 1186 + -1177. Which is the third biggest value? (a) 1/2 (b) -1/13 (c) x (d) -0.2 b Let n be ((-1)/(-3))/(8/72) - (43 - 39). Which is the fifth biggest value? (a) n (b) -4 (c) -16 (d) 0.4 (e) -3 c Let t(d) = -3*d**2 - 136*d - 1012. Let p be t(-36). Let w = -47 + 36.1. Let f = -10 - w. What is the second biggest value in p, f, -0.2? -0.2 Let r(o) = 3*o**2 - 43*o + 151. Let h be r(6). Which is the second biggest value? (a) 4/7 (b) 2.4 (c) 6 (d) h b Let i = 87508/15 - 5834. Let v = -3 + 5. Which is the fourth biggest value? (a) i (b) 1 (c) 0.3 (d) v a Suppose -2*h - 59 = g + 66, -g + 5*h = 90. Let w = -114 - g. Let n = 6.1 - 1.1. What is the second biggest value in 0.4, w, n? w Let t = 25247 + -25246. Which is the third biggest value? (a) t (b) -0.2 (c) -4811 c Let w = -1660 - -1660. Which is the smallest value? (a) -0.1 (b) w (c) -9/2 c Let k = -2.29 - -1.79. Suppose 4*r = r - 225. Let v be 3 - 0 - (-219)/r. Which is the biggest value? (a) 2/15 (b) k (c) v (d) -1 a Let n = 0.19053 - -0.20947. Which
{ "pile_set_name": "DM Mathematics" }
iven that q(r) = 0. -901 Factor -365*l - 361*l - 357*l - 403*l**2 + 1087*l - 49*l**2. -4*l*(113*l - 1) Let w(y) be the first derivative of -y**3/4 - 87*y**2/4 - 1323*y/4 - 4465. Factor w(j). -3*(j + 9)*(j + 49)/4 Factor -32*o**3 + 3*o**5 - 4*o**5 - 17*o**3 + o**4 + 30*o**4 + 19*o**4. -o**3*(o - 49)*(o - 1) Determine g, given that -1973*g - 27*g**4 - 52*g**3 + 588*g**2 + 517 + 281*g + 995 + 23*g**4 = 0. -21, 2, 3 Let d(b) be the third derivative of b**6/540 - 707*b**5/270 - b**4/108 + 707*b**3/27 + 12213*b**2. Suppose d(x) = 0. What is x? -1, 1, 707 Let l be 1167/91 + -1*102/(-221) + -13. Factor 0 + 8/7*i**2 + l*i**5 + 0*i - 6/7*i**4 + 0*i**3. 2*i**2*(i - 2)**2*(i + 1)/7 Let j(c) = c**2 + 3*c - 21. Let t be j(4). Solve 3*k**4 + 12*k**2 - 9*k**2 + 5*k**3 + t*k**3 - 6*k**4 - 12*k**5 = 0 for k. -1, -1/4, 0, 1 Suppose 3*l = x + 131, -5*l = -4*l - 4*x - 40. Solve 80*w**5 - 94*w**3 - 32*w - 174*w**3 + 20*w**2 - l*w**5 - 220*w**2 + 40*w**4 - 104*w**4 = 0. -1, -2/9, 0, 4 Let r(o) = -5*o**3 + 30*o**2 + 15*o - 20. Let f(c) = -c**2 + 1. Let d be ((-116)/8 - 1)/(3/(-6)). Let p = 32 - d. Let a(i) = p*r(i) + 30*f(i). Solve a(u) = 0. -1, 2 Let q(z) be the second derivative of z**6/15 + 23*z**5/5 + 58*z**4 + 530*z**3/3 - 925*z**2 - 1520*z. Factor q(x). 2*(x - 1)*(x + 5)**2*(x + 37) Suppose 98*q - 94*q - 496 = 0. Factor -148*n**2 - 3*n**3 + 236*n**2 - q*n**2. -3*n**2*(n + 12) Let p(z) be the third derivative of 17*z**5/36 - 35*z**4/72 - 25*z**3/9 + 1124*z**2. Let p(y) = 0. What is y? -10/17, 1 Let t(l) be the second derivative of -18*l**2 + 1/16*l**4 + 18*l + 0 - 1/240*l**5 - 3/8*l**3. Let p(c) be the first derivative of t(c). Factor p(w). -(w - 3)**2/4 Let v(y) be the third derivative of -y**8/168 - y**7/21 + 7*y**6/10 + 5*y**5/3 - 41*y**4/12 - 15*y**3 - 4163*y**2. Solve v(c) = 0. -9, -1, 1, 5 Suppose c = 4*r - 125, 0 = r - 5*c + 3*c - 26. Let b = r + -30. Solve -6*l**b + 3*l**3 - 7*l**2 + 4*l**2 + 6*l = 0. 0, 1, 2 Let x(f) = -4*f**2 - 8*f - 4. Let m be x(-4). Let p = 38 + m. Factor -j**3 + 0*j**3 + 0*j**p - 3*j**2 + 2*j**2. -j**2*(j + 1) Let r(p) be the second derivative of p**5/80 + 17*p**4/48 + 5*p**3/2 - 96*p - 1. Factor r(n). n*(n + 5)*(n + 12)/4 Let m(v) be the first derivative of -v**6/540 - v**5/15 - 5*v**4/9 - 196*v**3/3 + 200. Let t(j) be the third derivative of m(j). Determine q so that t(q) = 0. -10, -2 Let a(l) = 7*l**2 + 17*l + 16. Let w(u) be the first derivative of -5*u**3 - 32*u - 2 - 33/2*u**2. Let f(o) = 7*a(o) + 3*w(o). Factor f(c). 4*(c + 1)*(c + 4) Suppose -10*o + 422 = 122. Let m be (39/o - 1)/((-3)/(-4)). Factor 0*h - 2/5*h**4 + 2/5*h**3 + 2/5*h**2 + 0 - m*h**5. -2*h**2*(h - 1)*(h + 1)**2/5 Let m be (-1)/(0 + (-3 - -2)). Suppose n - 3 = -m. Determine i so that n*i**3 - 160*i**2 + 10*i + 4 + 83*i**2 + 85*i**2 = 0. -2, -1 Let f be (-27)/(-24)*(-1 + 3) - 301/(-172). Let u(o) be the second derivative of 5/6*o**3 + 0 + 7/3*o**2 + 20*o + 1/36*o**f. Find y, given that u(y) = 0. -14, -1 Let p = -788708 - -5520968/7. Let -p*r + 2/7*r**2 - 2 = 0. What is r? -1, 7 Suppose -3*y = -7*y + 5*g - 20, -2*y + 20 = 5*g. Let j = 3 + y. Determine r, given that 5*r**j - 3*r**2 - 15*r**4 - 15*r**3 + 8*r**2 + 0*r**2 = 0. -1, 0, 1/3 Suppose 294*j**3 - 93*j**2 + 291*j**3 - 606*j - 876*j**3 - 360 + 300*j**3 = 0. Calculate j. -4, -2/3, 15 Let l = 68072 + -342922/5. Let g = l + 513. Find a, given that -3/5*a**2 + 0 + g*a**4 - 6/5*a + 6/5*a**3 = 0. -2, -1, 0, 1 Factor 178/3*o - 68 - 38/3*o**2. -2*(o - 2)*(19*o - 51)/3 Let y be 4*2 - ((-75145)/(-2100) + -28). Let r(w) be the third derivative of 1/4*w**4 - 1/24*w**6 + 0 + 0*w + 0*w**3 - y*w**5 - 10*w**2. Factor r(a). -a*(a + 3)*(5*a - 2) Solve 24169 - 104385 - 40987 - 6*h**2 + 3*h**2 + 1206*h = 0. 201 Suppose 8*d = 7*d + 2. Solve 90*g + 51*g**d + 244 + 161 - 46*g**2 = 0. -9 Suppose 2*h + 2*h = -104. Let x = 34 + h. Let -4 + q - x*q**2 - 11*q - 8*q = 0. What is q? -2, -1/4 Let o be (22*(-2)/6 + 3)*-3. Find h such that o + 2*h**2 + 16*h - 13 + 14 = 0. -7, -1 Factor -2106*d**2 + 450*d + 702*d**2 + 912 + 701*d**2 + 700*d**2. -3*(d - 152)*(d + 2) Let f(b) be the first derivative of 0*b**2 + 1/6*b**3 + 5/24*b**4 - 5*b - 24. Let i(d) be the first derivative of f(d). Factor i(r). r*(5*r + 2)/2 Let w be 1/(1/((-6)/(-3))). Suppose 0 = b - 28 + w. Factor -58*v + b*v - 2*v**2 + 26*v. -2*v*(v + 3) Suppose 83*x - 77*x = 642. Factor -x*l - 1263 - 925 + 331*l - 4*l**2 - 948. -4*(l - 28)**2 Factor 30*c**2 - 164 + 51*c**2 - 4*c**3 + 4*c + 39*c**2 + 44*c**2. -4*(c - 41)*(c - 1)*(c + 1) Let t(y) = -y**3 + 10*y**2 - 7*y + 19. Let v be t(9). Suppose -v*m**3 + 3*m - 13*m**2 + 20*m**3 + 21*m**3 = 0. Calculate m. 0, 1/4, 3 Let d(k) = 16*k**2 + 553*k + 1958. Let h be d(-4). Let b = -137 + 689/5. Solve 2/3*p - b + 2/15*p**h = 0 for p. -6, 1 Let y be (-703)/(-57)*5/(-3). Let t = 21 + y. Factor -t*i**2 - 100/9 + 40/9*i. -4*(i - 5)**2/9 Let a = 63388 - 443715/7. Factor -4/7*d**2 + 0 - a*d. -d*(4*d + 1)/7 Suppose 4*m - 3*x - 8 = 0, 8*m = -0*x + 3*x + 16. Suppose 2*p = -10, -3*p - 9 = -m*i + 3*i. Suppose 5/2*t**3 + 9*t**2 + i*t - 4 = 0. Calculate t. -2, 2/5 Suppose -y = -5, -6*y - 20 = -3*c - 10*y. Let l = -77/46 - -50/23. Factor -l*s**3 + s + c - 1/2*s**2. -s*(s - 1)*(s + 2)/2 Let o = 786 - 776. Factor 2*h**5 - 4*h**2 - 8*h**2 - 3*h**2 + h**2 + 14*h**3 + 8*h**2 - o*h**4. 2*h**2*(h - 3)*(h - 1)**2 Let m(j) = j + 14. Suppose 6*y + y + 63 = 0. Let v be m(y). Factor 8*i**5 - 2*i - 10*i**5 - i**3 + v*i**3. -2*i*(i - 1)**2*(i + 1)**2 Suppose 55*x = 208 + 452. Let r be 52/(-9) + (5 - (-13 + x)). Find u, given that -4/9*u - 2/9*u**2 + 0 + r*u**3 = 0. -1, 0, 2 Let s(m) be the first derivative of m**6/1260 - m**5/140 + m**4/42 - 2*m**3/3 + m**2/2 - 11. Let r(j) be the third derivative of s(j). Factor r(t). 2*(t - 2)*(t - 1)/7 Let k(u) be the third derivative of -u**6/60 + 17*u**5/15 + 37*u**4/3 + 152*u**3/3 - 338*u**2. Factor k(d). -2*(d - 38)*(d + 2)**2 Let w be (-33)/6*(-110)/1210. Factor -w*l**5 - 235/2*l**3 - 980*l + 25/2*l**4 + 1015/2*l**2 + 686. -(l - 7)**3*(l - 2)**2/2 Let r = 182 - -2169. Solve -23*x - 5*x - r*x**3 + 36*x**2 + 2379*x**3 - 24 - 12*x**4 = 0 for x. -1, -2/3, 1, 3 Let m = -3416 + 3419. Find w such that -3/7*w**4 - 18/7 + 3*w**m + 51/7*w - 51/7*w**2 = 0. 1, 2, 3 Let p(r) be the second derivative of r**6/420 - r**5/210 - r**4/42 + 75*r**2/2 + 25*r. Let s(l) be the first derivative of p(l). Factor s(y). 2*y*(y - 2)*(y + 1)/7 Suppose 555*r - 11268 + 186*r - 3*r**2 + 12762 = 0. What is r? -2, 249 Let t be 454/72 - (-3)/9. Let x = t - 26/9. Factor 1/4*i**3 - x*i**2 - 125/4 + 75/4*i. (i - 5)**3/4 Let u(a) be the first derivative of 168 - 4/9*a**2 + 0*a - 1/18*a**4 - 10/27*a**3. Let u(l) = 0. What is l? -4, -1, 0 Let c(g) be the third derivative of g**7/1785 + 7*g**6/60 + 1856*g**5/255 + 841*g**4/17 - 1481*g**2. Solve c(q) = 0 for q. -58, -3, 0 Suppose 2*h = -2*a - 2, -4*h + 5*a + 29 = -12. Let w be -10 - (-1)/((-9)/(234/(-2))). Find l, given that 4/17 - 2/17*l**h - 6/17*l**w - 2/17*l**2 + 6/17*l = 0. -2, -1, 1 Let f = 7085 + -7082. Let l(z) be the second derivative of -1/6*z**f + 0*z**2 - 1/24*z**4 - 21*z + 1/40*z**5 + 0. Determine w, given that l(w) = 0. -1, 0, 2 Let t(q) be the third derivative of -23*q**5/20 - 13*q**4/2 - 6*q**3 - 14*q**2 + 69*q. Solve t(d) = 0. -2, -6/23 Let r(s) be the second derivative of -s**4/18 - 2948*s**3/9 - 2172676*s**2/3 - 2962*s. Factor r(o). -2*(o + 1474)**2/3 Let q(b) = 3*b**2 + 5*b + 5. Let h be q(-1). Factor 250*v**h - 20*v**2 - 248*v**3 + 111*v - 15*v + 118*v**2. 2*v*(v + 1)*(v + 48) Let p be -47 - 15719/(-231) - (-2)/7. Factor 20/3*h**2 - 2/3*h**3 - 64/3*h + p. -2*(h - 4)**2*(h - 2)/3 Determine m, given that -1816/7*m**4 + 520/7*m + 1816/7*m**2 + 0 + 2*m**5 - 534/7*m**3 = 0. -1, -2/7, 0, 1, 130 Let p(u) be the third derivative of -27*u**2 + 0*u**3 + 1/9*u**5 + 1/90*u**6 + 0*u + 3 + 2/9*u**4. Determine l, given that p(l) = 0. -4, -1, 0 Suppose 816 = -30*o + 33*o. Solve -266*k**2 + o*k**2 + k**4 - 4*k - 3*k**4 = 0. -2, 0, 1 Let d(j) be the second derivative of -4*j + 0 + 0*j**3 + 18/7*j**2 - 1/21*j**4. Suppose d(i) = 0. What is i? -3, 3 Let f = 32827 + -32827. Suppose f*v - 1/8*v**2 + 0 = 0. Calculate v. 0 Suppose 6*c - 1748 + 1532 = 0. Suppose v + 11*v - c = 0. Find f, given that 2*f**2 - 2*f + 1/2*f**5
{ "pile_set_name": "DM Mathematics" }
536. What is the remainder when q is divided by n? 13 Suppose 7*t = 9*t - 44. Calculate the remainder when 37 is divided by t. 15 Suppose -2*t = 3*n - 12, t - 4 = -t - n. Suppose t = -23*j + 18*j + 20. What is the remainder when j is divided by 2/4 - 3/(-2)? 0 Suppose 20 = -x + 5*x. Let b(v) = 5*v**2 - 5*v + 3. Calculate the remainder when b(x) is divided by 98/4 - (-3)/2. 25 Suppose 4*f = -2*v + 47 + 37, -3*f + 3*v = -54. Calculate the remainder when 117 is divided by f. 17 Suppose 0 = -5*g - 5*s + 6*s + 455, -2*g = -5*s - 182. What is the remainder when g is divided by 11? 3 Suppose -58*c = 20*c - 2418. What is the remainder when 304 is divided by c? 25 Suppose -5*u + 26 - 61 = 0. Let w = u + 25. What is the remainder when w is divided by 12? 6 Let m be (68/(-6))/((-6)/27). Let p = 13 + -11. Suppose -t - m = -2*g, 5*t - 23 = -2*g - p. What is the remainder when g is divided by 8? 7 What is the remainder when (10 - 234/(-21))/(2/28) is divided by 33? 32 Let q = 562 + -261. What is the remainder when q is divided by 38? 35 Let a = -206 + 235. What is the remainder when 90 is divided by a? 3 Suppose -336 = -6*k + 2*u, 0 = 4*k - u - 4*u - 213. Calculate the remainder when 1991 is divided by k. 53 Suppose -g - 576 = -3*m, 0 = -0*m + m - 3*g - 192. Suppose z - m = -70. Calculate the remainder when z is divided by 31. 29 Suppose 2*v - 176 = -0*v. Let x = 127 - v. Calculate the remainder when x is divided by 10/26*(52 + -26). 9 Let g = -4 + 90. Suppose -47 = 5*q - 202. Calculate the remainder when g is divided by q. 24 Let n be 2 - 6 - (-16 - 1). Let x be n/(-2) - 5/10. Let u(c) = 3*c**2 + 10*c + 11. What is the remainder when u(x) is divided by 30? 28 What is the remainder when (-2057)/(-7) + 426/(-497) is divided by 33? 29 Suppose 0 = 4*f - 9*f + 20. Let s(g) = 2*g - 21. Let d be s(15). Let c = d + -7. Calculate the remainder when f is divided by c. 0 Suppose 2*z - 5*d - 71 = -z, -4*d + 62 = 3*z. Suppose -2*f = -5*j + 3*j + 140, 3*j - 2*f - 205 = 0. What is the remainder when j is divided by z? 21 Suppose 9*g - 13319 = -10*g. What is the remainder when g is divided by 37? 35 Let w(t) = -t**3 - 2*t**2 - 4*t - 1. Let q be w(-2). Suppose 2*c + q*c - 108 = 0. What is the remainder when 28 is divided by c? 4 Suppose 5*p - 6 - 59 = 0. Suppose -5*v - 5*c + 2*c = -149, -v + p = -5*c. What is the remainder when 52 is divided by v? 24 Suppose 9*u - 5*u = 52. Let z = u + -2. Calculate the remainder when z is divided by 9. 2 Let a(k) = k**3 - 11*k**2 - 10*k + 13. Calculate the remainder when 76 is divided by a(12). 2 Let j be (543/(-6))/(2/(-4)). Let h = j + -83. Calculate the remainder when h is divided by 33. 32 Let q(n) = n**3 + 8*n**2 + 7*n - 8. Suppose 4*w + 84 = -10*w. What is the remainder when q(w) is divided by 12? 10 Let b = 13 - 26. Let v(p) = 2*p + 18. Let m be v(b). Let u = m + 16. What is the remainder when 29 is divided by u? 5 Let y(f) = f**2 - 3*f + 1. Let s be y(4). Let b be (-1 - s)*(-26)/4. Let o = b + -26. Calculate the remainder when 50 is divided by o. 11 Let j(i) = -i**3 - 18*i**2 - 6*i - 38. Calculate the remainder when j(-18) is divided by 22. 4 Suppose -5*r + 231 = h, 0*h = -2*r - 5*h + 97. Suppose -48*n + 49*n = 15. Let o = n + 2. Calculate the remainder when r is divided by o. 12 Let h be -1 + -1 - 12/(-3). Suppose -9 - 5 = -h*m. What is the remainder when m is divided by 6? 1 Let q be 2/4*(-37 + 21). Calculate the remainder when (1236/48)/((-2)/q) is divided by 29. 16 What is the remainder when (85 - (-6 + 2))/(0 + 1) is divided by 23? 20 Calculate the remainder when 397 is divided by (-4 - 1)/(395/(-10428)). 1 Suppose -1235 = 2*k + 3*k + 5*f, 2*k = 4*f - 470. Let h = k + 347. What is the remainder when h is divided by 21? 20 Suppose 3*f - 3*r - 408 = 0, 146 = 3*f - 2*f + 4*r. What is the remainder when f is divided by 44? 6 Suppose -3*c - 4*i + 117 = 0, -i = -3*c + 128 - 11. Suppose -12*g - c + 183 = 0. What is the remainder when g is divided by 7? 5 Let n(u) = -3*u**2 + 22*u - 5. Let m be n(7). Suppose 9 = -3*k, 3*t - m*k - 116 = -2*t. What is the remainder when t is divided by 12? 10 Suppose 15 = -2*w + 47. Let r = -107 - -169. Calculate the remainder when r is divided by w. 14 Suppose -8 - 7 = -3*m. Suppose m*p - 14 = -2*x - 0, 2*p - 12 = -4*x. Suppose p*y - 2*b = 0, b - 4 = -4*y + y. What is the remainder when 3 is divided by y? 0 Suppose -28 = -9*j + 2*j. Suppose 2*b - j*n - 20 = -0*n, n - 20 = -2*b. What is the remainder when 36 is divided by b? 6 Let t = 4416 + -4397. Suppose -2*c = -5*m + 2*c - 6, -2*m = 4*c + 8. What is the remainder when t is divided by (-11)/m + (-3)/6? 4 Suppose 4*b = 13*i - 11*i - 40, 3*i - b = 35. What is the remainder when i is divided by 4? 2 Suppose 1229 + 89 = 60*j - 2702. Suppose -3*y = 2*n - 676, 0 = -2*n + y + 396 + 264. Calculate the remainder when n is divided by j. 64 Suppose 0 = 4*g - q - 49, 4*g + q + 23 = 6*g. Calculate the remainder when 634 is divided by g. 10 Suppose 2*v + 2*v - 88 = 0. Calculate the remainder when v is divided by (20/(-48))/((-35)/420). 2 Suppose v = -0*v + 5, -30 = -5*s + 4*v. What is the remainder when 355 is divided by s? 5 Let b = -107 + 160. Calculate the remainder when 263 is divided by b. 51 Let b(y) = 2*y + 2. Let c be b(1). Let r = c + 1. What is the remainder when r*(156/15 - 2) is divided by 22? 20 Suppose 0 = -u + 236 + 157. Calculate the remainder when u is divided by 36. 33 Let v(d) = 13*d - 2. Let n(i) be the second derivative of -i**5/10 + 7*i**3/3 - 3*i**2/2 - 51*i. Calculate the remainder when n(-4) is divided by v(2). 21 Suppose -r + 5*w = 4, 5*r + 3*w + 20 = -2*w. Calculate the remainder when 32 is divided by 1/1*11 + (-2 - r). 6 Suppose -y = -3*a - 1024, 167*y = 165*y + 2*a + 2068. Calculate the remainder when y is divided by 13. 12 Suppose 0*z + z - 4*s - 45 = 0, -31 = -z - 3*s. Calculate the remainder when 101 is divided by z. 27 Let h(y) = 4*y**2 - y - 24. Calculate the remainder when 148 is divided by h(-3). 13 Suppose 0*k + 99 = 5*k + t, 0 = -4*k + 3*t + 83. Let g = k - -95. What is the remainder when g is divided by 40? 35 Let d(u) = -141*u - 945. Calculate the remainder when d(-8) is divided by 41. 19 Suppose 2*o - 42 = -8. Suppose -3*u - 4*w + o = 0, -2*u - 1 = u - 5*w. Suppose 3 = -h + 2*h. What is the remainder when u is divided by h? 0 Let b(m) = -m**2 + 19*m + 29. Suppose -19 = u - 59. Suppose -u = -2*h + 4*f, 2*f = -5*h + 84 + 16. Calculate the remainder when b(16) is divided by h. 17 Let m = 546 + -525. Let v be 2/5 + 1869/15. Let b = v - 64. Calculate the remainder when b is divided by m. 19 Let a(s) = -s**2 + 37*s - 73. What is the remainder when a(34) is divided by 19? 10 Let c = -222 - -226. Calculate the remainder when 13 is divided by c. 1 Suppose -3*k = -25 - 14. Let p(g) = g - 10. Let w be p(17). Suppose -237 = -4*f - 5*x, -2*f - 3*x + 124 = w. Calculate the remainder when f is divided by k. 11 Suppose -4*u - 4*d + 3192 = 0, -4*u - 4*d = u - 3995. What is the remainder when u is divided by 26? 23 Suppose -6*y + 126 = -2*y + 2*z, -39 = -y - 3*z. What is the remainder when 117 is divided by y? 27 Let n = 11 - 7. Suppose 0 = -5*c - n - 16. Let i(x) = -x**3 - 3*x**2 - 3. Calculate the remainder when 49 is divided by i(c). 10 Suppose 14*k - 81*k + 603 = 0. Calculate the remainder when 954/12 + 2/(-4) is divided by k. 7 Suppose 2*p + 2342 = 2356. What is the remainder when 18 is divided by p? 4 Suppose -8*b + 10*b - 10 = 0. Suppose -11*c + 48 = -b*c. Calculate the remainder when 30 is divided by c. 6 Suppose 0 = 31*j - 874 - 676. What is the remainder when j is divided by 9? 5 Let p = -264 - -268. What is the remainder when 68 is divided by p? 0 Suppose -50 - 118 = -17*q + 189. Let i = 14 - 6. What is the remainder when q is divided by i? 5 Calculate the remainder when 445 is divided by (-16)/((-30)/24 - -1). 61 Let q(t) = 4*t**3 - 10*t**2 - 7*t - 17. Let x(n) = -5*n**3 + 11*n**2 + 8*n + 17. Let f(g) = 4*q(g) + 3*x(g). Calculate the remainder when 57 is divided by f(8). 12 What is the remainder when 194 is divided by 3560/66 + 4/66? 32 Let s = -147 + 169. Calculate the remainder when 108 is divided by s. 20 Suppose -4*y - r = 113, 2*y = 3*y - 5*r + 23. Let s = y - -117. Let j = s - 34. Calculate the remainder when j is divi
{ "pile_set_name": "DM Mathematics" }
? 17082*n**2 What is the derivative of 417*g**2*o + 1172*g**2 + o**2 wrt o? 417*g**2 + 2*o What is the third derivative of -1961*q**6 + 5*q**3 + 14117*q**2 wrt q? -235320*q**3 + 30 Differentiate 2*r**4*u - 24*r*u**3 + 21*u**3 - 6 wrt r. 8*r**3*u - 24*u**3 Find the first derivative of 60*p*w + p + 60*w wrt p. 60*w + 1 Find the second derivative of -10*i**3*v**2 + 183*i**3 - 48*i*v**3 - 3*v wrt v. -20*i**3 - 288*i*v Find the second derivative of -2831*r**2 + 98*r + 11. -5662 Find the second derivative of -d**5*m - 2*d**4*m + 16*d**3 + 2*d*m + 28*m wrt d. -20*d**3*m - 24*d**2*m + 96*d Find the third derivative of 554*r**5 - 23*r**2 - r wrt r. 33240*r**2 Find the second derivative of 72*z**2 + 31*z - 1 wrt z. 144 What is the derivative of c**3*j*y**2 + 28*c**3*j - c**3*y + c**3 + c**2*j*y wrt y? 2*c**3*j*y - c**3 + c**2*j Find the second derivative of -985*i**4 + 2*i**3 + 2184*i + 2. -11820*i**2 + 12*i What is the second derivative of h**3*m*n + 2*h**3*m - 78*h**2*m**3*n - h*m**3 - 2*h*n - m**3*n - 2*n wrt h? 6*h*m*n + 12*h*m - 156*m**3*n Find the third derivative of -177*j**5 + 8*j**2 + 8*j. -10620*j**2 Find the second derivative of 8941*n**4 - 6113*n wrt n. 107292*n**2 Find the second derivative of -92*z**4 + 84*z**2 + 22131*z. -1104*z**2 + 168 Find the third derivative of -3581*g**6 + 2*g**2 - 3513*g wrt g. -429720*g**3 Find the second derivative of -32*o**4*z + 8*o**4 - 18*o*z - o - 7 wrt o. -384*o**2*z + 96*o**2 What is the second derivative of -54*t**4 - 2*t**2 + 6*t? -648*t**2 - 4 Find the second derivative of 9*j**4 - 9*j**3 - 52*j. 108*j**2 - 54*j Find the second derivative of 286*s**4 + 2*s**3 - 3*s**2 - 5132*s - 2 wrt s. 3432*s**2 + 12*s - 6 Differentiate 13*g**3*k**2 + 33*g**3 - 2*g**2*k**2 - 4*g**2*k + 3*g**2 wrt k. 26*g**3*k - 4*g**2*k - 4*g**2 What is the second derivative of l**3 - 455*l**2 - 4*l + 1? 6*l - 910 Find the third derivative of 4027*c**6*w**2 - 4*c**2*w - 3*c*w + 7*w**2 wrt c. 483240*c**3*w**2 What is the third derivative of -3*p*s**3*u + 11*p*s**2*u + p*s*t*u - 2*p*t*u + 3*p*t - 3*s**3*t - 3*s**3*u - s**3 wrt s? -18*p*u - 18*t - 18*u - 6 What is the first derivative of -932*l**2 - 90? -1864*l What is the third derivative of -9*l**5 - 23*l**4 + 2*l**3 - 213*l**2? -540*l**2 - 552*l + 12 What is the second derivative of 413*x**2 + 120*x wrt x? 826 Find the third derivative of -12550*c**5 + 11228*c**2 wrt c. -753000*c**2 Find the third derivative of -63*s**4 - 51*s**2 - 2 wrt s. -1512*s What is the second derivative of -5*g**5*p**2 + 2*g**5*p - 6*g*p**2 + g*p + 2*p**2 wrt g? -100*g**3*p**2 + 40*g**3*p Find the third derivative of 2*x**4 - 283*x**3 - 105*x**2 wrt x. 48*x - 1698 What is the derivative of 63*d**2 - 2707 wrt d? 126*d What is the first derivative of 31*c*h - 4*c + 157*h wrt c? 31*h - 4 What is the third derivative of 11*g*x**3 + 14*g*x**2 - 2*g + 147*x**3 - 44 wrt x? 66*g + 882 Differentiate -3*j**4*v + 3*j**2*v**2 + j*v**3 - 162*v**3 wrt j. -12*j**3*v + 6*j*v**2 + v**3 Find the second derivative of 334*b*d*z**2 - b*d*z + d*z**2 + 98*d*z wrt z. 668*b*d + 2*d Find the second derivative of 328*l**3 + 364*l. 1968*l What is the derivative of 3*c**4*r + c*r**2 - 75*c*r + 3035*r**2 wrt c? 12*c**3*r + r**2 - 75*r What is the second derivative of 2*d*i**2 + d*i*k**2 - d*k**2 + i**2*k**2 + 6*i**2 - 13 wrt i? 4*d + 2*k**2 + 12 Find the third derivative of -55*c**5 + 1390*c**2 + 2. -3300*c**2 Find the second derivative of -4*c*h**2*j**2*m - 2*c*h**2*j - 3*c*h*j - 2*c*j + 24*h**2*m + h*j**2 + h + 3*m wrt h. -8*c*j**2*m - 4*c*j + 48*m Differentiate -108*m**2 + 118. -216*m Find the third derivative of -4*l*x**4 - 7*l*x**3 + l*x**2 + 4248*l - 119*x**4 - 2*x**3 wrt x. -96*l*x - 42*l - 2856*x - 12 What is the derivative of -44*n*y**4 + n*y - n + 298 wrt y? -176*n*y**3 + n What is the second derivative of 73*w**4 - 287*w wrt w? 876*w**2 What is the second derivative of -2433*c**2*w + c*w - 28*w + 1 wrt c? -4866*w Find the second derivative of 10*b**2*k**2 - 14*b**2*k + 2*b**2 - b*k - 5*k**2 wrt k. 20*b**2 - 10 What is the third derivative of -16*v**5 - 2*v**3 - 102*v**2 wrt v? -960*v**2 - 12 Differentiate 2*d**3*k**3 + 419*d**3*k - 12*d**3 - 2*d*k**2 + 9 wrt k. 6*d**3*k**2 + 419*d**3 - 4*d*k Find the third derivative of -22*i**3*p*w*z**3 - 2*i**3 - 2*i**2*p*z**3 + i*w*z**2 + 2*p*z**2 - 8*z**2 wrt z. -132*i**3*p*w - 12*i**2*p What is the third derivative of -142*m**4 + 2*m**3 + 85*m**2 - 2 wrt m? -3408*m + 12 Find the first derivative of 9*k*l*n**2 - 6*k*l*n - k*n - 17*n**2 wrt l. 9*k*n**2 - 6*k*n Find the first derivative of -697*y - 332 wrt y. -697 What is the third derivative of -21*l**4 + 73*l**3 - 143*l**2 + 15? -504*l + 438 Find the first derivative of 59*d**2*n*y + d**2*n + 5*d**2*y + 14*d**2 - 5 wrt y. 59*d**2*n + 5*d**2 What is the second derivative of 313*g**2*k**3 + g**2*k - 234*g*k wrt k? 1878*g**2*k Find the third derivative of -286*b**2*s**3 - 153*b**2*s + 4*s**2 wrt s. -1716*b**2 What is the second derivative of -2*f**5*t + 10*f**3*p - 9*f**2*t**2 - 3009*f*p*t**2 + f*p*t + 2*t wrt f? -40*f**3*t + 60*f*p - 18*t**2 Find the first derivative of 944*n - 3270. 944 What is the first derivative of -3232*s**4 - 4802 wrt s? -12928*s**3 Find the third derivative of 30*j**5 - 10*j**4 - 2*j**3 + 2756*j**2 wrt j. 1800*j**2 - 240*j - 12 Find the second derivative of 2356*u**3 - 1981*u wrt u. 14136*u Find the third derivative of -77*j**3 + 3*j**2 - 7. -462 Find the first derivative of -1857*i**3*r - 2*i**3 + 70 wrt r. -1857*i**3 Find the first derivative of -161*m**2 - 360 wrt m. -322*m What is the second derivative of 700*f**3*r**2 + 27*f**3*r + f*r wrt r? 1400*f**3 What is the second derivative of -b**2*s*u - 72*b**2*s - 14*b**2 - b*s + s*u - 157*u wrt b? -2*s*u - 144*s - 28 What is the derivative of 168*s**2 + 29*s - 4778? 336*s + 29 Find the first derivative of 3439*n + 780. 3439 Differentiate -7*d**3 - 282*d**2 - 3687 with respect to d. -21*d**2 - 564*d Find the third derivative of 33*q**4 + 33*q**3 - 15*q**2 + 376. 792*q + 198 Find the third derivative of 19*d**2*m**3*t - d**2*m**2 + 2*d*m**3*s*t - 2*d*m**2*t - 2*d*m*s*t + 4*m**3*s*t + m**2*s*t + 8*m*s*t wrt m. 114*d**2*t + 12*d*s*t + 24*s*t What is the first derivative of -740*s**4 - 730? -2960*s**3 Find the second derivative of 41*i**2*j**3*s**3 - 14*i**2*j**3*s**2 + 779*i*j**3*s**2 - i*j**2 - 2*j**3*s**3 - j**3 wrt i. 82*j**3*s**3 - 28*j**3*s**2 Differentiate -21*o*t**3 - 4*o*t*y + o + 114*t**3*y - 18 wrt y. -4*o*t + 114*t**3 Differentiate 340*c*s**2 - 2566*s**2 + 1 with respect to c. 340*s**2 Find the second derivative of -2*s**4 - 2*s**2*x**2 - 9*s**2 - 167*s*x**2 + s*x wrt s. -24*s**2 - 4*x**2 - 18 What is the second derivative of v**4*x + 8*v**3*x - 257*v**2*x - 95*v*x - 2*v + 4*x wrt v? 12*v**2*x + 48*v*x - 514*x What is the second derivative of 767*i**2*x**3 - 2*i**2*x - 14*i*x**3 - 6*i*x + 3*i - 3*x**3 wrt i? 1534*x**3 - 4*x What is the second derivative of -25*a*z**5 + 16*a*z**4 + 7*a*z + 11*a wrt z? -500*a*z**3 + 192*a*z**2 Find the first derivative of -20*u**3*v - 2*u**3 + 29*u**2 - 3*u*v + v wrt v. -20*u**3 - 3*u + 1 What is the second derivative of 72*f**2*n**3 + 5*f**2 + 2*f*n**3 - 4*n**2 - n - 3 wrt n? 432*f**2*n + 12*f*n - 8 Find the first derivative of 8193*c + 7955 wrt c. 8193 Find the second derivative of 251*w**3 + w**2 - 1238*w - 2 wrt w. 1506*w + 2 Find the second derivative of -6*y**5 + 3*y**4 + 9*y**2 - y + 4416. -120*y**3 + 36*y**2 + 18 Differentiate -g**2*q**4 - 240*g**2*q + 4*g**2 + 2*g - 4*q - 16 with respect to q. -4*g**2*q**3 - 240*g**2 - 4 Find the third derivative of h*w**6 - 119*h*w**4 - 3*h*w**2 - h*w - 74*h - 3*w**2 wrt w. 120*h*w**3 - 2856*h*w What is the first derivative of -13386*c - 24398 wrt c? -13386 What is the second derivative of 1024*u**2*v**3 + u**2*v**2 + 61*u*v**3 - 3*v**3 wrt u? 2048*v**3 + 2*v**2 Find the second derivative of 2*o*t**3 + o*t**2*v - 392*o*t**2 + 21*o*v + 3*o + 2*t*v + 7 wrt t. 12*o*t + 2*o*v - 784*o What is the derivative of 383*z**4 - 390? 1532*z**3 Find the third derivative of 32*b*d**2*i**3 - b*d**2 + 3*b*d*i**3 - b*d*i**2 - 2*b*i**3 - 2*d - 3*i**2 wrt i. 192*b*d**2 + 18*b*d - 12*b What is the derivative of 3*c**3*h - 8*c**3 + 57*c*h - 6705*h wrt c? 9*c**2*h - 24*c**2 + 57*h What is the derivative of
{ "pile_set_name": "DM Mathematics" }
-750 - -753. Solve -3*v - d*x = -3, -3*v + 3*x = -v + 23 for v. -4 Let z be ((-65)/(-25) - 3)*(-60)/8. Solve -15 = z*s - 3*g, 21 = -5*s + 3*g - 0*g for s. -3 Suppose 5*y + d = 10, -6*y - 5*d + 10 = -y. Suppose 0 = -y*h + 40 - 40. Solve 2*u + 14 = k + 5*u, 2*k - 5*u + 16 = h for k. 2 Let a = 15 + -35. Let q = a + 30. Let z be (4/q)/((-2)/(-30)). Solve -c - p + z = -1, c + 3*p = 11 for c. 5 Suppose 7*i = -10*i + 51. Solve 0*k + i*k + 11 = 4*f, k - 8 = -f for k. 3 Suppose 0 = 9*m - 6*m + 5*g + 16, g - 7 = -4*m. Solve p = 4*n + m*p, 0 = -4*n + 3*p + 20 for n. 2 Let r(y) = 3*y + 11. Let b be r(-5). Let f = 3 - b. Suppose 2*u - f*u = -25. Solve -2*j = -4*j + u*g - 16, 3*j + 19 = 5*g for j. -3 Let p = 249 - 220. Solve 5*s + 3 = 2*n, -s - 5*n - 8 = -p for s. 1 Suppose -5*k = 5*d - 30, k + 0*k = 3*d - 6. Let l(c) = -c**2 + 5*c + 39. Let n = 78 + -69. Let y be l(n). Solve 0*u - 5*u + 20 = y*b, -5*b = -k*u - 22 for u. 1 Suppose 3*s - 4 = -10. Let x be 36/8 + s/(-4). Solve 0 = -4*k - 2*g - 30, -4*k - 2 = -x*g - 7 for k. -5 Let q be 4 + (-1 - 4) - -3. Suppose -17*y = -20*y + 51. Let x be (1 - 5) + -8 + y. Solve -b + 1 + q = 0, 0 = -x*w - 2*b + 31 for w. 5 Let g(u) = u**2 - 27*u - 54. Let y be g(29). Solve 4*l = 5*a + 22, 3*a = -4*l + 2 + y for a. -2 Let t(d) = -d. Let u be t(-3). Let k(n) = n**3 + 12*n**2 - n + 4. Let s be k(-12). Solve -2*p + 3*a - s = 0, 5*p + u*a = -5 - 14 for p. -5 Suppose -3*l = 4*l - 119. Let j(m) = -m**3 + 18*m**2 - 17*m + 8. Let s be j(l). Solve i + 4*i = 5*k + 5, i - 4*k = -s for i. 4 Let b be 2/6 - 5/15. Suppose 0 = -3*g - 2*p - 17, -3*g - 3*p + 2*p = 13. Let w = 2 - g. Solve b = -v - 0*j - w*j - 5, v - 1 = -2*j for v. 5 Let b = 8 + -8. Suppose b = 8*x + 18 - 50. Solve -x*f + 3*j + 3 = 0, -4*f + 3 = -3*f - 3*j for f. 0 Let d = 77 + -65. Suppose -15*f + 12 = -d*f. Solve 0 = z - f*y + 12, -5*z = -y - 4*y + 15 for z. 0 Let s(j) = 2*j**3 - 2*j**2 - j + 3. Let t(g) = g**2 + 3*g - 10. Let w be t(-5). Let z be s(w). Suppose -5*o = -7 - 3. Solve -o*h + 5*h = -z*k, -4*h = 0 for k. 0 Suppose 157*y - 160*y - 5*f + 42 = 0, 0 = -2*y + f + 2. Let r = 0 - -1. Solve y*x = -w, -2*w - 5*x = -2 - r for w. 4 Suppose -2*j - 4*d = 174, -2*j + 5*d + 26 = 155. Let s = 7 + -16. Let g be 6/s - j/3. Solve 0*f = 5*f - 3*q + g, f = -2*q - 5 for f. -5 Suppose 3*u - 28 = 2*b, 8*b = -2*u + 3*b - 13. Suppose -o - 25 = -u*o. Solve o*d + 20 = 5*h, 2*h - d - 6 = 3*d for h. 5 Let g be (3/(-9))/((-2)/66). Solve -g = 5*h + b, h + 4*b = -2*h - 10 for h. -2 Let t(l) = -l**3 - 2*l**2 - 31*l - 60. Let a be t(-2). Solve -a*y = 3*y + 5*r - 50, -5*y = -5*r for y. 5 Suppose 0 = 4*f - 0*l - 5*l + 4, -4*l = -4*f. Let q be (5 + -4 - -2)/(3/f). Solve 0*g - 5*g = -q*h + 20, 3*h = -g - 4 for g. -4 Let c be (1 - 1)/((5 - -5) + -6). Suppose -8 + c = -2*i. Solve -3*z = i*u - 1 - 11, -16 = -4*z - 4*u for z. 4 Suppose -9*b = -8*b - 2. Let s = 509 + -507. Solve -q = b*q - 2*h + 6, 6 = 5*q + s*h for q. 0 Let c(j) = j**3 - 8*j**2 + 2*j - 13. Suppose 0 = -13*g + 26 + 78. Let v be c(g). Solve 0 = -2*i - v*z + 5*z - 10, 4*i + 15 = -z for i. -4 Let y = 18 - -9. Let h = y - 24. Solve 12 = 4*v - v - h*a, -3*a = -2*v + 10 for v. 2 Let f be (8 + -6)/(2/(-5)). Let p be (1/(f/(-40)))/2. Solve -2*q - 2 = -p*k + 10, -3*q + 12 = 0 for k. 5 Let y(j) = -j + 4. Let m be y(5). Let q be (3/2)/(m/(-2)). Solve 5*p - 5*u = 5, -q*u + 21 = 5*p - 0*p for p. 3 Let w be 6 - 150/24 - (-9)/36. Solve w = 5*t - 5*a + 5, 5*a + 8 = 2*t + 8*a for t. 1 Let k = -4 + 8. Suppose 3*m = k + 32. Let s be 57/m + (-2)/(-8). Solve -i - s*g - 23 = 0, -5*i + 3*g + 29 - 4 = 0 for i. 2 Let j be (-6 - (-12 + 1))*4/10. Solve 5*p - j = -17, 2*f + 5*p = -5 for f. 5 Let p be 6*4/(-12)*-3. Solve 10 = -2*x + 3*s - p, 35 = -5*x + 5*s for x. -5 Suppose 3*z - 6 = -0*z. Let p(h) = h**3 + 2*h**2 + 81*h - 417. Let o be p(4). Solve 5*l - 8 = b, z*b - o*l + 0*l = -9 for b. -3 Suppose 3*j = -4*p, 2*p + 3*p = j. Suppose -q + 13 = -j*q. Let v = -472 - -476. Solve 5*s = -3*t + 37, -2*t + s - q = -v*t for t. 4 Let m(h) = h**2 - 12*h + 17. Let n be m(11). Solve j - 10 = -5*q + n*j, 0 = -2*q - 3*j - 1 for q. 1 Let p be -3 - (-11*3)/3. Let q(r) = -r**2 + 8*r - 18. Let w be q(6). Let f be 28/p + 3/w. Solve -5*h + 2*u - 17 = -8*h, -5*u = -f*h - 11 for h. 3 Let b = 222 - 334. Let y = -108 - b. Solve -4*j + y*c + 8 = 0, 4*j - 2*c - 5 = 1 for j. 1 Suppose 5*r - 52 = 2*s, -2*r - 76 = -7*r - 4*s. Suppose -12*a = -8*a - r. Solve -n + 1 - 9 = -3*i, 0 = -a*n + i + 8 for n. 4 Let m = 334 - 329. Solve 0 = -4*v - 4*j - 0*j, -v + m*j - 30 = 0 for v. -5 Let i = 17 - 13. Suppose -g + 551 = 5*l, 0 = l + i*l + 4*g - 539. Suppose 3*d - 6*d + l = 0. Solve 4*v = 4*r - 36, -3*v = -4*r - r + d for v. -4 Let h be (4 + 4)/4 - 2. Suppose 8*c - 8 - 8 = h. Solve 2*d - 3*r - 5 = 0, 0 = -2*d + 2*r + 4 - c for d. -2 Suppose 0*c = 4*y - c - 5, -4 = -5*y + 2*c. Suppose -2*r - 2 = -3*r. Suppose -y*d + r = p - 2, 4*d - 8 = 2*p. Solve 0 = 3*x + 4*i, -4 = -d*i + 2 for x. -4 Let w = 28 - 23. Suppose -4 = w*f - 19. Solve -7 = 2*x - i, -4*x - 6 = -x - f*i for x. -5 Let g be (-1715)/(-115) + (48/(-138))/(-4). Solve 2*w + 3*r - 10 = r, -5*r = 3*w - g for w. 5 Suppose 0 = -0*z + 2*z. Let a = -26 + z. Let j = a - -32. Solve -3*i + i + j = 4*k, 12 = 5*k + i for k. 3 Suppose -4*m - 12 = 2*p - 2, 0 = 3*m + 3*p + 15. Solve 0 = 5*d - m*d - 15, -w = -d for w. 3 Suppose 0 = -2*a + 10 + 10. Suppose -2*l + 3*j + a = -l, 4*l - 20 = 2*j. Solve -l*u + 20 = 4*s, -u - 2*u - s + 5 = 0 for u. 0 Let h be ((-15)/5)/(3/69). Let p = -69 - h. Solve 0 = 2*i + 4*j, p*i - j = -2*i + 5 for i. 2 Suppose z = 3*z + 2*i + 10, 3*z - 4*i + 22 = 0. Let c = 16 + z. Suppose 4*o - c = -2*w, 25 = 2*o - 3*w - 0*w. Solve 5*r - 6 = 4*m - 21, -o*m + 21 = -4*r for r. 1 Let t(y) = y**2 - y - 25. Let l be t(-5). Solve -5*p + 4 = -k + 1, -l*k + 14 = 4*p for p. 1 Let n = -55 - -91. Suppose -4*h + n = 5*h. Solve 4*u = -2*j - 14, -4*u - 1 = -h*j - 5 for u. -2 Let n(p) = -5*p + 1. Let i be n(-1). Let u(y) = 0*y + y - 3*y - i - 2. Let b be u(-6). Solve 3*k - 2*l + 11 = 2*k, b*l = 5*k + 25 for k. -1 Suppose 0 = -0*c + 2*c. Suppose 4*t - 28 = 4*o, 4*t - 16*o + 20*o = 12. Solve -3*j + 15 = 2*i, c*i = j - i - t for j. 5 Let y be 2 + (0/2 - -3). Let j be 6/15 + (-57)/y. Let d = -8 - j. Solve -3*h - 15 = -5*i, 2*i - i - d = 2*h for h. 0 Let n(l) = -2 - 4 + 2*l - 7. Let y = -732 + 741. Let w be n(y). Solve -5*c - 4*t - 29 = 0, 2*c + 0 = -w*t - 15 for c. -5 Suppose 0 = -2*q + 4*v + v - 6, -3*q = -3*v. Let t be (-14)/(-6) + (-4)/(-6). Suppose q*o = o + t. Solve 4 = i + 4*h, -3*i - o*h - 6 = -0*h for i. -4 Let s(c) = -c**3 + 5*c**2 - 4*c - 1. Let f be s(2). Solve 3*q - 5 = -4*z, q - 3*q = -f*z - 9 for q. 3 Let w = -70 - -72. Solve -m + 13 = 3*q, -3*q + w*m = -12 - 7 for q. 5 Let p = -764 - -769. Solve -4*n - 3*s - 17 = 0, -7 = -5*n + p*s - 2 for n. -2 Let m be (-9 + 10)/(1/4). Suppose 9*t = m*t. Suppose -3*v - 3 = -12. Solve v*z - 9 + 0 = t, n = 3*z - 12 for n. -3 Suppose -45*k = -29*k - 32. Solve -k*o + 5*s - 12 = 0, 0*o + o + 12 = 4*s for o. 4 Let i(f) = 4*f + 1. Let q be i(1). Let r(j) = -4*j**2 + 8*j - 3. Let p be r(5). Let w = p - -69. Solve -w = -q*s - 4*k, -3*s - 2*k + 1 = -3 for s. 2 Let i be 14 - (-476)/(-35) - 36/(-10). Solve -7*h + 2*h = -i*b + 20, -2*h - 2*b - 8 = 0 for h. -4 Suppose 0 = -3*z - 2*r - 8, z + 5*r = -3*z - 20. Solve z = -3*t + 3*p - 0 - 6, -4*t + 5*p = 8 for t. -2 Let k(o) = 5*o - 5. Let c(s) = s**3 + 13*s**2 + s + 15. Let p be c(-13). Let b be k(p). Solve 12 = -b*g + 5*w - 28, -4*g = 4*w for g. -4 Let t = 5 - 9. Let j be 6/33 - t*524/88. Solve -4*c = c + 3*n - 25, -4*n = 2*c - j for c. 2 Suppose -5*o - 2*b = 10, 25 = -5*o + 5*b - 10*b. Solve o = -v + 4, 5*x - 4*x + 2*v - 5 = 0 for x. -3 Suppose -2*w = -w - 11. Let h = -1 - -8. Let d = w - h. Solve d*b + p + 4 = 5*p, 18 = 2*b + 2*p for b. 4 Let h = 1723 + -1712. Solve 3*b - 1 + h = -5*p, 3*p - 5*b - 28 = 0 for p. 1 Let w = 696 - 692. Solve -3*x + w*r = -1, -5*r - 3 = -4*x - 1 for x. 3 Let v be (14/21)/((-8)/(-12)). Solve 3*l + 0*l = -w + v, 2*w - l = 9 for w. 4 Let l be 957/9 - 4/(-6). Suppose 53 + l = 5*f. Suppose w - f = -w. Solve 12 = -3*v + v + 5*c, -w = -4*c for v. 4 Let d be 1/(-1 + 0/(0 + -4)). Let c(k) = -6*k + 3. Let z be c(d). Solve 3*r - z = 6*r, -r = -2*o - 5 for o.
{ "pile_set_name": "DM Mathematics" }
2 Calculate the common denominator of 139/18396 and -47/107967. 9069228 What is the common denominator of 151/13632 and -9/842912? 5057472 What is the lowest common multiple of 626096 and 155806? 135862832 What is the lowest common multiple of 16 and 4116278? 32930224 What is the smallest common multiple of 2626904 and 18456? 7880712 Find the common denominator of -79/126000 and -109/960. 504000 What is the smallest common multiple of 2034 and 19169094? 57507282 What is the smallest common multiple of 38 and 118848? 2258112 What is the smallest common multiple of 3931044 and 36? 11793132 Calculate the smallest common multiple of 686868 and 204. 686868 What is the common denominator of 99/11102 and 17/104920? 9547720 What is the smallest common multiple of 6237 and 24479334? 171355338 What is the common denominator of -83/9064614 and 139/97890? 45323070 Calculate the smallest common multiple of 10 and 6340715. 12681430 What is the smallest common multiple of 16 and 2876078? 23008624 Calculate the least common multiple of 1116 and 48660. 4525380 Calculate the common denominator of -30/7 and -10/201129091. 1407903637 Calculate the smallest common multiple of 2016245 and 224. 64519840 Find the common denominator of -31/17850 and 155/47838. 1195950 Find the common denominator of -64/547209 and 85/546. 7660926 What is the common denominator of 5/85801524 and 9/187876? 1115419812 What is the common denominator of 65/9 and 19/7662724? 68964516 Calculate the smallest common multiple of 112035 and 5181. 17589495 Calculate the common denominator of -3/1540 and -69/3766202. 263634140 Find the common denominator of 95/1099768 and 29/15647786. 1439596312 Find the common denominator of -101/41928 and -97/130. 2725320 Calculate the lowest common multiple of 52 and 75533770. 151067540 Calculate the least common multiple of 10362 and 59638491. 119276982 What is the smallest common multiple of 3404107 and 5349311? 37445177 Calculate the lowest common multiple of 11420250 and 609080. 45681000 What is the lowest common multiple of 115570 and 838708? 29354780 What is the common denominator of -46/231 and -10/6954651? 48682557 Calculate the lowest common multiple of 2941 and 321434. 5464378 Calculate the lowest common multiple of 4962125 and 2650. 9924250 What is the least common multiple of 9 and 241386984? 241386984 Calculate the common denominator of 73/47460 and 71/7680. 6074880 What is the least common multiple of 10930 and 2186000? 2186000 Calculate the common denominator of 71/9305988 and 157/18930. 46529940 Calculate the common denominator of 115/1914 and 67/4152336. 45675696 What is the smallest common multiple of 316994910 and 770340? 633989820 What is the common denominator of 28/615 and -41/717799? 441446385 What is the smallest common multiple of 820925 and 13556990? 474494650 Calculate the common denominator of 49/2219040 and -11/3680. 2219040 Calculate the common denominator of 61/1389982 and 50/19308663. 888198498 Calculate the smallest common multiple of 104842 and 403170. 237467130 Calculate the least common multiple of 9 and 330672. 992016 Calculate the common denominator of -179/446670 and -127/24375420. 170627940 Calculate the lowest common multiple of 547290 and 912150. 2736450 Calculate the common denominator of -7/10 and -11/9011562. 45057810 What is the smallest common multiple of 129471 and 1294504? 1627191528 Find the common denominator of 49/113971220 and -37/176. 455884880 Calculate the least common multiple of 39 and 12529551. 162884163 Find the common denominator of 65/85306932 and -73/10. 426534660 Calculate the common denominator of 19/321 and 157/165350952. 165350952 Find the common denominator of 89/728 and -40/14637441. 117099528 Calculate the common denominator of -97/447220 and -43/37900. 2236100 What is the smallest common multiple of 55 and 61678540? 61678540 Find the common denominator of -155/33427602 and -40/91. 233993214 What is the common denominator of 25/115632 and 17/327096? 47756016 Calculate the lowest common multiple of 2046284 and 22. 22509124 Find the common denominator of -61/6399660 and -29/84. 44797620 What is the common denominator of -193/135090228 and -83/217056? 1080721824 Calculate the common denominator of -37/6942582 and -89/9256776. 27770328 What is the common denominator of 67/61792094 and -87/26? 61792094 Find the common denominator of 53/2300115 and 8/300015. 6900345 What is the least common multiple of 67551435 and 10007620? 270205740 What is the least common multiple of 1377123 and 9? 4131369 Find the common denominator of 49/65214192 and 133/22788. 586927728 What is the lowest common multiple of 9170 and 14857? 136238690 What is the least common multiple of 18836 and 3042014? 6084028 What is the smallest common multiple of 2737318 and 50? 68432950 Calculate the common denominator of 29/2862 and 31/449919. 143074242 What is the least common multiple of 404523 and 492? 66341772 What is the least common multiple of 3613197 and 609? 3613197 Find the common denominator of -17/3961062 and 31/377244. 7922124 Calculate the smallest common multiple of 465 and 105510. 3270810 What is the lowest common multiple of 544288 and 748396? 5987168 Calculate the common denominator of 61/20123455 and 22/23782265. 261604915 Calculate the common denominator of -15/272 and 52/90899. 1454384 What is the lowest common multiple of 3299122 and 234922? 75879806 Calculate the common denominator of -25/2547 and -65/679311. 192245013 What is the common denominator of 83/358170 and 89/883486? 13252290 Calculate the least common multiple of 2024730 and 2430. 18222570 Calculate the common denominator of 87/18785986 and 117/20. 187859860 What is the lowest common multiple of 44198340 and 22099170? 44198340 Calculate the least common multiple of 740 and 525320. 19436840 Calculate the common denominator of -105/464 and -127/1540422. 12323376 Find the common denominator of 99/113600 and 1/8351020. 668081600 Calculate the least common multiple of 1355002 and 37200964. 409210604 Calculate the least common multiple of 4550 and 31680740. 158403700 Calculate the smallest common multiple of 18853322 and 14. 131973254 Calculate the least common multiple of 474576 and 593220. 2372880 Calculate the common denominator of 82/153185151 and -17/218835930. 1531851510 Calculate the common denominator of 61/159360 and -103/5640. 7489920 Find the common denominator of 103/1170 and -23/1511757. 15117570 Find the common denominator of 43/35078080 and -139/3288570. 105234240 Find the common denominator of 39/3188104 and -19/17534572. 35069144 Find the common denominator of -24/54886145 and -21/109772290. 109772290 Calculate the lowest common multiple of 351222 and 86. 15102546 Calculate the least common multiple of 85104 and 3708328. 200249712 Calculate the common denominator of 119/1180 and -67/35792. 10558640 Calculate the least common multiple of 182634732 and 7686. 182634732 What is the smallest common multiple of 138483 and 138? 276966 Calculate the lowest common multiple of 252 and 388017. 1552068 What is the common denominator of -71/1192266 and 13/18? 1192266 Calculate the lowest common multiple of 14779910 and 59119640. 59119640 What is the least common multiple of 1914290 and 610? 116771690 Calculate the common denominator of -23/4800 and 59/807744. 20193600 What is the common denominator of -23/57939 and -86/1335? 289695 Calculate the common denominator of 181/30492 and -55/2536. 19331928 What is the smallest common multiple of 34458633 and 71739? 103375899 Calculate the lowest common multiple of 432 and 3717198. 29737584 Calculate the least common multiple of 6171 and 185823957. 2044063527 What is the common denominator of -29/459420 and 113/282720? 3675360 What is the least common multiple of 355500 and 641700? 253471500 Calculate the common denominator of 33/5 and -89/15969285. 15969285 Find the common denominator of 10/72603117 and 38/8067013. 72603117 Calculate the common denominator of -167/2016 and -65/6992784. 97898976 Find the common denominator of 7/637158 and -45/106193. 637158 Calculate the lowest common multiple of 54750 and 3212. 1204500 What is the smallest common multiple of 5204346 and 9? 15613038 What is the least common
{ "pile_set_name": "DM Mathematics" }
mine d*j(u) - 3*z(u). 8*u**2 Let c(o) = -4*o + 6. Let h(t) = -46*t - 4218. Determine -12*c(k) + h(k). 2*k - 4290 Let c(h) = -1. Let v(w) = -10. Let b(f) = 14*c(f) - 2*v(f). Suppose 2*p - 2*l = 22, p + 4*l = 97 - 121. Let g(k) = -k + 17. Give p*g(s) - 11*b(s). -4*s + 2 Let y(r) = -4*r**2 + 3*r - 6. Suppose -3*f - 9*f - 1272 = 0. Let q = f - -99. Let j(d) = -2*d**2 + 2*d - 3. What is q*j(m) + 4*y(m)? -2*m**2 - 2*m - 3 Let p(g) = -g**3 - g**2. Let b(h) = 7*h**3 - 6*h**2 + 29*h - 3. Let n(l) = l**3 - l**2 + 29*l - 1. Let d(x) = -b(x) + n(x). Calculate d(o) + 5*p(o). -11*o**3 + 2 Let l(x) = 64*x**3 + 23*x**2 - 10*x + 6. Let q(z) = 32*z**3 + 10*z**2 - 4*z + 3. What is -3*l(m) + 7*q(m)? 32*m**3 + m**2 + 2*m + 3 Let a(i) = 5*i + 1. Let d(m) = 2633*m + 6. What is 2*a(k) - d(k)? -2623*k - 4 Let n = -8 - -13. Let c(g) = -9*g + 14. Let r(w) = 17*w + 21. Let k(j) = 37*j + 49. Let l(q) = -4*k(q) + 9*r(q). Calculate n*l(a) + 3*c(a). -2*a + 7 Let p(k) = 118*k**3 - 6*k**2 + 13*k - 6. Let m(o) = 117*o**3 - 7*o**2 + 15*o - 7. Calculate 6*m(g) - 7*p(g). -124*g**3 - g Let i(m) = 2*m**2 + 471*m - 8. Let d(w) = w**2 + 457*w - 11. Calculate -3*d(v) + 4*i(v). 5*v**2 + 513*v + 1 Let k(d) = 9*d - 1690. Let f(o) = -4*o - 11. Give -2*f(i) - k(i). -i + 1712 Let k(m) = 9*m + 17. Let z(c) = -5*c - 21. What is 6*k(j) + 5*z(j)? 29*j - 3 Let n(u) = -40*u**3 + 6*u**2 - u + 2. Let r(s) = 158*s**3 - 27*s**2 + 4*s - 9. Give -9*n(d) - 2*r(d). 44*d**3 + d Let o(f) = -20 + 17*f + 5 - 8*f - 6*f. Let l(z) = 2*z - 7. Determine 5*l(w) - 2*o(w). 4*w - 5 Let r be 14/7 + (-2)/(-1). Let s(p) = 3*p + r - 3 + 0 - 2*p. Let i = -557 - -558. Let z(c) = 2*c**2 + 6*c + 4. What is i*z(b) - 6*s(b)? 2*b**2 - 2 Let u = 832 + -835. Let m(n) = -5*n**2 - 3*n - 10. Let r(s) = 26*s**2 + 16*s + 50. Give u*r(i) - 16*m(i). 2*i**2 + 10 Let y(o) = 12*o - 2. Let q = -4572 + 4577. Let t(j) = j. Calculate q*t(m) + y(m). 17*m - 2 Let g(w) be the first derivative of 3*w**2/2 - 5*w - 187. Let l = -276 - -278. Let j(q) = 4*q - 4. Give l*g(a) - 3*j(a). -6*a + 2 Let g(r) = -5*r**2 - 120*r. Let n(x) = 14*x**2 + 364*x. Give -17*g(d) - 6*n(d). d**2 - 144*d Suppose b = -0 - 1. Let c(k) = -4*k**2 + 6*k - 7. Let l = -30570 + 30575. Let x(m) = -m**2 + m - 1. Calculate b*c(d) + l*x(d). -d**2 - d + 2 Suppose 0 = 5*x + 10, -4*v + 4*x = x + 10. Let b = 2 - 4. Let d be b/((15/9)/5). Let a(y) = 4*y - 2. Let s(o) = -3*o + 1. Give d*s(p) + v*a(p). 2*p + 2 Let d(x) = x**2 + x + 6. Let u(y) = 8*y**2 - 2*y + 39. Let a(n) = -9*n**2 + 2*n - 44. Let c(k) = 10*a(k) + 11*u(k). Give -3*c(h) - 5*d(h). h**2 + h + 3 Let c(w) = -w**3 + 5*w**2 - 5*w + 4. Let o(v) = 2*v**3 - 8*v**2 + 8*v - 6. Let f = 74 + 506. Let a = f - 572. Determine a*c(b) + 5*o(b). 2*b**3 + 2 Let s = -1769 - -1766. Let c(t) = 2*t**2 + t. Let q(p) = -7*p**2 - 3*p. Calculate s*q(v) - 8*c(v). 5*v**2 + v Let t(a) = 33*a + 142. Let d(m) = 16*m + 73. Give 5*d(h) - 3*t(h). -19*h - 61 Let a(w) = 2207*w + 26. Let o(h) = -737*h - 7. What is 2*a(v) + 7*o(v)? -745*v + 3 Let t(k) = -13*k + 1. Let j(y) be the first derivative of y**2/2 - 167. Determine 4*j(r) + t(r). -9*r + 1 Let k(a) = -a**2 + a + 1. Let n(y) = 7*y**2 - 8*y - 2. Let t = -1939 - -1938. Determine t*n(f) - 6*k(f). -f**2 + 2*f - 4 Let c(t) = -2*t + 1. Let n(b) = -5*b - 55. Let r(h) = h + 10. Let d(w) = 2*n(w) + 11*r(w). Give c(y) + 3*d(y). y + 1 Let d(j) = 9*j**2 - j + 5. Let k(h) = -46575*h**2 + 0 + 1 - h + 5 + 46585*h**2. What is -6*d(v) + 5*k(v)? -4*v**2 + v Let x(v) = -3*v**2 + 14*v - 9. Let p = 11504 + -11502. Let h(y) = y**2 - 7*y + 4. Calculate p*x(r) + 5*h(r). -r**2 - 7*r + 2 Let d(f) = -4*f**3 + f**2 - 6*f + 2. Let o(p) = -17*p**3 + 4*p**2 - 25*p + 9. Let b be ((-1998)/(-296))/((-6)/8). Determine b*d(h) + 2*o(h). 2*h**3 - h**2 + 4*h Let l(i) = 17*i**2 + 283. Let x(j) = 6*j**2 + 94. What is -3*l(n) + 8*x(n)? -3*n**2 - 97 Let g(z) = -7*z**2 + 2*z + 11. Let o(t) = 6*t**2 - 1031*t - 10 + 2052*t - 1023*t. Determine 4*g(n) + 5*o(n). 2*n**2 - 2*n - 6 Let a(g) = 8627*g + 18. Let i(w) = 286683830*w + 598161. Determine -199387*a(v) + 6*i(v). -8669*v Let x(w) = 189*w + 20. Let b(a) = 94120*a + 9955. What is 4*b(c) - 1991*x(c)? 181*c Let s(o) = -35*o**2 - 3*o - 26. Let x(f) = 35*f**2 + 2*f + 17. Give -2*s(b) - 3*x(b). -35*b**2 + 1 Let c(j) = j**2 + 14*j**3 - 7*j**3 - 6*j**3. Let t(x) = -4*x**3 - 6*x**2. Let r = -1945 + 1951. Let k = 0 - -1. Calculate k*t(f) + r*c(f). 2*f**3 Let a(p) = -9*p**2 - 2. Let r be 2 - -2 - (-35 - 10). Let u(c) = -174*c**2 - r - 35*c**2 - 8*c**2. Calculate -49*a(m) + 2*u(m). 7*m**2 Let b(k) = 24*k - 3. Let u(c) = 31*c - 48*c - 4 + 17*c + 23*c. Determine -4*b(a) + 3*u(a). -27*a Let q(y) = 34*y + 17. Let t be (-1)/((26/(-65))/((-6)/(-5))). Let d(k) = 11*k + 6. Calculate t*q(i) - 8*d(i). 14*i + 3 Let o(y) = 37*y + 46. Let d(i) = 26*i + 31. What is -14*d(a) + 9*o(a)? -31*a - 20 Let u(s) = -194*s - 135. Let b(f) = 135*f + 91. What is 7*b(x) + 5*u(x)? -25*x - 38 Let w(h) = -2*h - 1. Let g(p) be the first derivative of 2*p**2 + 2*p - 5. Suppose -76*f = -74*f - 328. Let y = -175 + f. Calculate y*w(r) - 6*g(r). -2*r - 1 Let i(n) = -n - 2. Let p(z) = -307*z - 1228. Give 1842*i(a) - 3*p(a). -921*a Suppose 3*x = -1 - 5. Let s(p) = 8*p**3 + 2*p. Let w(g) = -3886*g + 1988*g + 1899*g. Calculate x*w(l) + s(l). 8*l**3 Let a(s) = 31*s**2 + 11*s + 4. Let m(l) = -6*l**2 - 2*l - 1. Let n = -31620 + 31622. Determine n*a(g) + 11*m(g). -4*g**2 - 3 Let j(i) = 1391*i**2 - 143*i. Let h(z) = 29*z**2 - 3*z. Let a be 7*(5/2)/((-2380)/816). What is a*j(l) + 286*h(l)? -52*l**2 Let l(f) = -4*f + 59. Let o(v) = 141*v + 2953. Let r be o(-21). Let c(j) = 6*j - 89. What is r*l(b) - 5*c(b)? 2*b - 27 Let z(v) = -7*v + 46. Let r be z(7). Let s be 3/18 - (-55)/30. Let t(m) = -3*m - 3 + 1 + 1 + 2*m**s. Let y(f) = 6*f**2 - 8*f - 3. Calculate r*y(w) + 8*t(w). -2*w**2 + 1 Let j(b) = -b**3 - 21*b**2 + 4*b + 6057. Let z(p) = -14*p**2 + 3*p + 6058. What is 2*j(y) - 3*z(y)? -2*y**3 - y - 6060 Let k(m) = 6*m**2. Let v(s) = 11*s**2. Let z = 5608 + -5617. Determine z*k(h) + 4*v(h). -10*h**2 Let h(t) = 21*t**2 + 7*t + 7. Let a(c) = -21*c**2 - 2*c - 22. Let u(y) = 21*y**2 + 3*y + 18. Let s(v) = -3*a(v) - 4*u(v). Calculate -6*h(d) - 7*s(d). 21*d**2 Let j(n) = -2*n**3 - n**2 - 2. Let i(x) = 11*x**3 + 5*x**2 - x + 2. Give -i(y) - 2*j(y). -7*y**3 - 3*y**2 + y + 2 Let v(x) = -5*x - 14. Let k(f) = -2 + 2*f + 3 + 5 - 1. Let p = 243 + -155. Suppose -9*s = -20*s - p. Give s*k(w) - 3*v(w). -w + 2 Let h(r) = r + 2. Let x be 12/(-28) + (-92)/14. Suppose -50 = 4*y - 9*y. Let d(z) = 0*z - 2*z + y + z - 11. Calculate x*d(t) - 4*h(t). 3*t - 1 Let l(x) = 11*x**2 + 33*x - 2. Let v be -20 - 12/9*-12 - (0 - -1). Let y(u) = 7*u**2 + 22*u - 1. Determine v*l(o) + 8*y(o). o**2 + 11*o + 2 Let d(j) = 221*j**3 + 12*j**2 - 54*j + 12. Let r(y) = 221*y**3 + 10*y**2 - 47*y + 10. Give -5*d(q) + 6*r(q). 221*q**3 - 12*q Let t(y) = y + 4. Let x(v) = 14*v - 13. Give -t(f) + x(f). 13*f - 17 Let r(b) = -35*b**3 - 6*b**2 - 6*b - 6. Let j(w) be the first derivative of -1189*w**4/4 - 205*w**3/3 - 205*w**2/2 - 205*w + 4331. What is 6*j(m) - 205*r(m)? 41*m**3 Let t(x) = 4*x. Let v(c) = -c**3 - 22*c**2 - 62*c + 42. Let s be v(-4). Let i(h) = -2*h - 4 + h + 3. Calculate s*i(k) + t(k). 2*k - 2 Let d(f) = -22*f**2 - 12*f + 14. Let s(t) = 2*t**2 - 3. Calculate d(b) + 5*s(b). -12*b**2 - 12*b - 1 Let a(b) = -5*b**3 - 3*b**2 + 4*b - 3. Let r(v) = -v**3 + v**2 + v - 1. Let p = -23945 + 23944. Calculate p*a(d) + 2*r(d). 3*d**3 + 5*d**2 - 2*d + 1 Let r = 3 - 1. Let w(f) = 8 + 6 + 6*f - 6 + 5*f**r. Let h = 160167 - 160172. Let x(j) = 3*j**2 + 4*j + 5. What is h*w(m) + 8*x(m)? -m**2 + 2*m Let i(c) = -12*c**3 + 2*c**2 + c + 1. Let v(f) = -7*f + 9*f - f + 0*f - 2*f. Calculate -i(k) - v(k). 12*k**3 - 2*k**2 - 1 Let z(v) = -v + 1. Let j(x) = 9*x**2 + 566549*x - 566544*x - 7 + 4*x**2. What is -j(q) - 6*z(q)? -13*q**2 + q + 1 Let w(z) = -4*z + 6*z + 3*z + 1. Let t(n) = -356*n**2 + 6*n - 355*n**2 + 7*n**3 + 6 + 712*n**2. Let p be t(-1). Let s(q) = 11*q + 2. Determine p*s(i) + 13*w(i). -i + 1 Let j(s) = 5*s**2 - 210*s - 9. Let k(c) = -14*c**2 + 627*c + 26. Calculate 11*j(b) + 4*k(b). -b**2 + 198*b + 5 Let w(j) = -j. Let y = -115 + 109. Let n(u) = 3*u + 3. Let s(l) = l**3 + 7*l**2 + 6*l - 1. Let a be s(-6). Determine a*
{ "pile_set_name": "DM Mathematics" }
Calculate the common denominator of 59/9 and 147/30 - (-5)/(-25). 90 Let y(b) = -b**3 - b - 1. Let o be y(-1). What is the common denominator of 0 + 84/(-15) + o and ((-666)/20 + 0)/3? 10 What is the smallest common multiple of 14 and (-6)/8 - 81/(-12)? 42 Let p(a) = -a**3 + 5*a**2 + 7*a - 4. Let w be p(6). Suppose 20 = 4*q, -1 + 2 = v - w*q. Calculate the least common multiple of 10 and v. 110 Let u = -799/8 - -102. Find the common denominator of -31/15 and u. 120 Suppose 0*f + 57 = 5*f + 3*t, f + 5*t - 7 = 0. Calculate the smallest common multiple of 22 and f. 132 Suppose -4*y - p = -83, -3*y + 50 + 25 = 5*p. Calculate the common denominator of -3/22 and 157/y - 10/(-25). 44 Let x = -9725/11 + 883. Let p = -1/2948 + 35411/103180. Let j = 3091/70 + p. What is the common denominator of j and x? 22 Let i = 45 - 75. Let m = i + 12. What is the common denominator of -109/14 and (6/m)/(40/306)? 140 What is the common denominator of -7/16 and (262/(-36))/(14 + -13)? 144 Let s be 943 + -4*(-1)/2. Let f be 128622/s + 2/(-7). Let k = -673/5 + f. Calculate the common denominator of -93/2 and k. 18 Let s be ((-36 - -2) + -1)*-1. Let r = s - 24. What is the lowest common multiple of 7 and r? 77 Suppose u + 4*s = -5 - 12, 3*u + 2*s = -1. Suppose -15 - u = -3*t. Suppose 0 = 2*v - 4*v + 16. What is the lowest common multiple of t and v? 24 Suppose 2*t = 3*t + 132. Find the common denominator of 35/8 and (-10)/3*t/50. 40 Let d(x) = 1109*x + 4. Let p be d(2). Let c = 15588/7 - p. Find the common denominator of 1 + -1*(-98)/(-10) and c. 35 What is the common denominator of (108/(-345))/(3/(-10)) and -57/2? 46 Suppose -4*g - 5*l - 13 = 0, -2*g + 4*l - 8*l = 14. Suppose -r + 12 = g*r. Calculate the least common multiple of 10 and (-2 - 1)/(r/(-10)). 10 Let i = 9/1384 + -49177/6920. Let g = -232969/20 - -11654. Find the common denominator of g and i. 20 Let p = 14795/6 + -2477. What is the common denominator of -83/2 and p? 6 Suppose a - 4*a = 6. What is the least common multiple of 11 and 9/(-15)*(-13 + a)? 99 Let x be -3*(-4)/6 - 9. Let l = 3 - x. Calculate the lowest common multiple of 9 and l. 90 Suppose 0 = -16*l + 3*l + 26. Calculate the lowest common multiple of 40 and l. 40 Calculate the common denominator of (-10251)/(-2970) - (-4)/(-30) and ((-3)/55)/((-4)/(-130)). 22 Let n be (-1 - 646)/((-21)/213). Let p = n - 234421/28. Let b = p + 1829. Find the common denominator of 61/16 and b. 16 What is the common denominator of 4/(-18) - (-117)/324 and -109/22? 396 Let u = 1079 + -8705/8. Let y be (6/(-9))/((-5)/(-45)). Find the common denominator of ((-20)/y)/((-6)/5) and u. 72 Find the common denominator of -4 + 91/(-20) - -3 and (-495)/(-80) + 2/(-4). 80 Suppose 22*y = 15*y + 392. Calculate the least common multiple of y and 10. 280 Let i(g) = g**3 + 13*g**2 - 14*g + 1. What is the smallest common multiple of 9 and i(-14)? 9 Suppose 5*d - m - 57 = 3*d, 30 = d - 2*m. What is the lowest common multiple of 9 and d? 252 Suppose -z = -4*z + 9. Let h = 11 - z. Calculate the least common multiple of 8 and h. 8 Let y be 1 + (0 - -1) + -2. Calculate the lowest common multiple of 5 and 1 - (y - (12 + -3)). 10 Let u(a) = -a**3 + 8*a**2 + 10*a + 11. Let b be u(9). Suppose -15 - b = -5*l - 5*f, 5*f - 25 = -3*l. Calculate the smallest common multiple of 8 and l. 40 Suppose 0 = 4*i + 2*f, -3*i - 4*f - f - 7 = 0. Suppose -z = -4 + i. What is the least common multiple of 6 and z? 6 Let n(p) = -5*p - 14. What is the least common multiple of 11 and n(-5)? 11 Suppose -3*t - 6*t = -180. Calculate the least common multiple of 20 and t. 20 Calculate the common denominator of -1*3/27*(-909)/6 and 29/10. 30 Let v be -2*1/(-2)*3. Suppose -6*l + 4*l - 5*q = -8, -2*q + 7 = -v*l. Calculate the smallest common multiple of 20 and 3 + -1 - 20/l. 220 Find the common denominator of -3/2 and 66/224*-9 - (-54)/(-189). 16 Suppose -4*y = -10 - 10. Suppose z + z + 2*v = 0, 0 = y*z - 2*v - 35. What is the least common multiple of z and (1 + (-4)/3)*-6? 10 Let p be -3 - ((-1384)/(-630))/2. Let j = p + -4/315. Let r = 339794/47781 + -2/5309. Find the common denominator of r and j. 9 Let b = 12 - 10. Calculate the least common multiple of b and 22. 22 Let p = 3111 - 62167/20. Let f = -23 + 33. What is the common denominator of 674/(-252) - f/(-35) and p? 180 Let n(x) = -x + 3. Let h be n(4). Let r = 1835/2 - 954. What is the common denominator of r and (-138)/20*h/(-3)? 10 Suppose 0 = -f - 2*x + 8, -f + 3*f - 12 = -3*x. Suppose 4*p - 24 = -f*p. What is the lowest common multiple of p and 22? 66 Let k(s) = -s**2 - 1 + 5*s + 9 - 13*s. Let p = -1 + 19. Calculate the least common multiple of p and k(-6). 180 Let p = 17 + 3. What is the smallest common multiple of p and 8? 40 Let z = -51921/10 - -5200. Let x = 109 - 37. What is the common denominator of (-638)/x - 24/108 and z? 60 Suppose -5 + 41 = -2*k. Calculate the common denominator of (134/(-15))/(8/(-10)) and 131/24 - 3/k. 24 Suppose 5*s - 4496 + 1566 = 0. Let y = s - 4745/8. Calculate the common denominator of 6/5 - 2 - (-182)/(-60) and y. 24 Find the common denominator of (1 + (-69)/12)/(14/12) and -29/66. 462 Let f = 4070/9 + -455. Find the common denominator of 20/3*(-1)/4 and f. 9 Let l(p) = p**3 - 2*p**2 - 2*p + 4. Let h be l(-5). What is the common denominator of (-16 - -13) + 286/12 and 2/(-6) - h/15? 30 Suppose 2*t = t. Let u be ((-9)/3)/6*t. Suppose u = 2*k - 0*k - 8. What is the lowest common multiple of 8 and k? 8 Let t be 2/(-4) - (-5941)/(-30). Let v = t - -916/5. Find the common denominator of v and ((-235)/(-30) - 8) + (-97)/66. 33 Let k be ((0 - 0) + 0)/3. Suppose 22 = -k*a + a. Calculate the smallest common multiple of a and 14. 154 What is the common denominator of 46/(-4)*2/(-14) and (-204)/(-160)*20/(-8)? 112 Calculate the least common multiple of ((-384)/(-20))/8*(-5)/(-2) and 9. 18 Find the common denominator of -15/11 and (-125)/6 + 4 - 1. 66 Let r = -12 + 20. Let o = 6 + -4. Calculate the lowest common multiple of r and (-98)/(-7) - o*1. 24 Let u = 90 - 60. Calculate the lowest common multiple of u and 33. 330 Suppose 0 = -t - w - 0*w + 42, 0 = -5*t + 4*w + 228. Calculate the lowest common multiple of 8 and t. 88 Let j = -18/2252513 - -3739186322/1844808147. Let n = -38/91 - j. Calculate the common denominator of n and ((-97)/(-6))/(-1 - -2). 18 Let o = -32 - -86. Suppose o = 5*i - 56. Calculate the smallest common multiple of 12 and i. 132 Calculate the common denominator of 93/4 and ((-74)/(-24))/((-12)/16). 36 Let z(f) = -3*f + 1. Let o be z(-3). Let w be (-2)/5 + (-66)/o. Let s = w - -14. What is the lowest common multiple of s and 3? 21 Let z(k) = -k**2 + 13*k - 1. Calculate the least common multiple of 1 and z(12). 11 Let b(g) = 5*g**2 - 1. Let q be b(1). Suppose 0 = q*w - 8 - 16. Suppose -y = 2*y - w. Calculate the smallest common multiple of y and 14. 14 Find the common denominator of 37/6 and 2 + 0 + (-111)/14. 42 Let y = -6 + 10. Suppose 3 = a + y. What is the smallest common multiple of (-6)/(-3) - a*2 and 6? 12 Let p be (-10)/((16/(-6))/(-4)). What is the smallest common multiple of (24/p)/(2/(-15)) and 4? 12 Suppose 2*x + 2 = 3*i + 47, 67 = 3*x - 5*i. Calculate the smallest common multiple of 27 and x. 216 Suppose 10 = -0*y - 5*y. Calculate the smallest common multiple of 2*(0 + 7) + y and 16. 48 What is the lowest common multiple of 20 and (-160)/(-12) + -3 + (-33)/(-9)? 140 Let l(s) = 2*s + 20. Let i be l(-10). Suppose 3*w - 23 = -4*u, u - 5*w + i*w = 0. What is the smallest common multiple of 7 and u? 35 Calculate the least common multiple of 18 and (-27)/((-2)/(12/9)). 18 Let g = -104 - 24. Suppose 3*i - 4*s - 13 = 13, -i - 5*s = -34. Calculate the lowest common multiple of i and g/(-6) - (-4)/6. 154 Calculate the common denominator of 103/10 and (1*13)/((-8)/20). 10 What is the least common multiple of ((-3)/(-2))/(45/300) and 4? 20 Find the common denominator of (-296)/78 - ((-5 - -3) + -2) and 67/2. 78 Let a(l) be the third derivative of l**5/20 + l**4/24 - l**3/3 + 6*l**2. Calculate the lowest common multiple of 3 and a(1). 6 Let n = 45 - 25. Calculate the smallest common multiple of n and 18. 180 Suppose -6*k - 17 = -77. Calculate the lowest common multiple of k and 20. 20 Suppose -1 + 11 = m. Calc
{ "pile_set_name": "DM Mathematics" }
*2 - 49*b - 17 What is the y'th term of -36, -94, -152, -210, -268, -326? -58*y + 22 What is the q'th term of -22, -39, -70, -121, -198, -307, -454? -q**3 - q**2 - 7*q - 13 What is the k'th term of 71, 286, 637, 1118, 1723? -k**3 + 74*k**2 - 2 What is the s'th term of 1, -15, -19, -5, 33, 101? s**3 - 23*s + 23 What is the q'th term of 418, 391, 338, 253, 130? -q**3 - 7*q**2 + q + 425 What is the n'th term of 3483, 6966, 10449, 13932, 17415, 20898? 3483*n What is the t'th term of -199, -189, -171, -145? 4*t**2 - 2*t - 201 What is the m'th term of 219, 418, 603, 774, 931? -7*m**2 + 220*m + 6 What is the g'th term of 340, 580, 820? 240*g + 100 What is the x'th term of 1251, 2505, 3759? 1254*x - 3 What is the q'th term of -4, 7, 32, 77, 148? q**3 + q**2 + q - 7 What is the f'th term of 20, 35, 58, 89, 128? 4*f**2 + 3*f + 13 What is the w'th term of 81, 355, 819, 1479, 2341? w**3 + 89*w**2 - 9 What is the l'th term of -1455, -1459, -1465, -1473, -1483? -l**2 - l - 1453 What is the a'th term of 5, 33, 75, 131, 201? 7*a**2 + 7*a - 9 What is the o'th term of 10, 22, 32, 34, 22, -10? -o**3 + 5*o**2 + 4*o + 2 What is the f'th term of 221, 444, 667, 890, 1113, 1336? 223*f - 2 What is the c'th term of 1, 66, 239, 574, 1125, 1946? 9*c**3 + 2*c - 10 What is the p'th term of -8, -9, -6, 1, 12, 27, 46? 2*p**2 - 7*p - 3 What is the y'th term of 192, 200, 222, 264, 332, 432, 570? y**3 + y**2 - 2*y + 192 What is the h'th term of -66, -191, -400, -693, -1070, -1531? -42*h**2 + h - 25 What is the k'th term of -173, -169, -161, -149, -133, -113? 2*k**2 - 2*k - 173 What is the u'th term of 1137, 1140, 1145, 1152, 1161? u**2 + 1136 What is the t'th term of -5, 12, 41, 82, 135, 200, 277? 6*t**2 - t - 10 What is the q'th term of 1137, 2277, 3417, 4557, 5697, 6837? 1140*q - 3 What is the w'th term of -37, -64, -101, -154, -229? -w**3 + w**2 - 23*w - 14 What is the m'th term of -130, -115, -92, -55, 2? m**3 - 2*m**2 + 14*m - 143 What is the s'th term of -27, 2, 31, 60? 29*s - 56 What is the b'th term of -42, -150, -324, -564? -33*b**2 - 9*b What is the q'th term of 56, 192, 416, 728, 1128, 1616? 44*q**2 + 4*q + 8 What is the v'th term of -24, -22, -34, -66, -124, -214, -342, -514? -v**3 - v**2 + 12*v - 34 What is the p'th term of -22333, -22335, -22339, -22345, -22353, -22363? -p**2 + p - 22333 What is the j'th term of 288, 1157, 2606, 4635, 7244, 10433? 290*j**2 - j - 1 What is the w'th term of -346, -700, -1068, -1456, -1870, -2316, -2800? -w**3 - w**2 - 344*w What is the y'th term of -7894, -31582, -71062, -126334, -197398, -284254? -7896*y**2 + 2 What is the o'th term of -26203, -26204, -26205, -26206? -o - 26202 What is the a'th term of 257, 243, 219, 185, 141, 87? -5*a**2 + a + 261 What is the b'th term of -3, -5, 1, 21, 61? b**3 - 2*b**2 - 3*b + 1 What is the t'th term of -4720, -4723, -4728, -4735, -4744, -4755, -4768? -t**2 - 4719 What is the q'th term of -1, -10, -29, -64, -121? -q**3 + q**2 - 5*q + 4 What is the j'th term of -10, 18, 54, 104, 174, 270, 398, 564? j**3 - 2*j**2 + 27*j - 36 What is the f'th term of 180, 693, 1544, 2733, 4260, 6125, 8328? 169*f**2 + 6*f + 5 What is the v'th term of -229, -923, -2079, -3697? -231*v**2 - v + 3 What is the f'th term of -10, 26, 92, 194, 338, 530? f**3 + 9*f**2 + 2*f - 22 What is the j'th term of 16, 8, -4, -20, -40, -64, -92? -2*j**2 - 2*j + 20 What is the j'th term of -17, -43, -55, -47, -13, 53, 157? j**3 + j**2 - 36*j + 17 What is the f'th term of -2, -2, -22, -74, -170, -322, -542, -842? -2*f**3 + 2*f**2 + 8*f - 10 What is the d'th term of 68, 81, 106, 149, 216? d**3 + 6*d + 61 What is the t'th term of 2782, 2783, 2784, 2785? t + 2781 What is the f'th term of 414, 814, 1214? 400*f + 14 What is the o'th term of -678, -688, -698? -10*o - 668 What is the a'th term of 71, 85, 107, 137? 4*a**2 + 2*a + 65 What is the z'th term of 183, 364, 545, 726, 907? 181*z + 2 What is the c'th term of -108, -106, -94, -66, -16, 62? c**3 - c**2 - 2*c - 106 What is the z'th term of -1, -21, -61, -127, -225, -361, -541, -771? -z**3 - 4*z**2 - z + 5 What is the g'th term of -112, -66, -32, -16, -24, -62? -g**3 + 53*g - 164 What is the g'th term of 22, 94, 214, 382, 598? 24*g**2 - 2 What is the l'th term of -27718, -55437, -83168, -110917, -138690, -166493, -194332, -222213? -l**3 - 27712*l - 5 What is the q'th term of 126, 132, 138, 144, 150? 6*q + 120 What is the l'th term of 15, 32, 61, 102, 155, 220, 297? 6*l**2 - l + 10 What is the d'th term of -12, -7, 20, 81, 188, 353, 588? 2*d**3 - d**2 - 6*d - 7 What is the a'th term of -24, -72, -146, -246, -372, -524? -13*a**2 - 9*a - 2 What is the h'th term of 12, -8, -28, -48, -68, -88? -20*h + 32 What is the z'th term of -147, -293, -439, -585, -731? -146*z - 1 What is the z'th term of 1597, 3197, 4797? 1600*z - 3 What is the y'th term of 418, 817, 1214, 1609, 2002? -y**2 + 402*y + 17 What is the y'th term of -432, -848, -1264, -1680, -2096, -2512? -416*y - 16 What is the j'th term of -4726, -4725, -4724, -4723? j - 4727 What is the s'th term of 384, 373, 362, 357, 364, 389, 438? s**3 - 6*s**2 + 389 What is the m'th term of -740, -761, -802, -869, -968, -1105? -m**3 - 4*m**2 - 2*m - 733 What is the m'th term of -1992, -3982, -5972? -1990*m - 2 What is the d'th term of -8, -20, -34, -50, -68? -d**2 - 9*d + 2 What is the t'th term of -123, -241, -355, -465, -571, -673, -771? 2*t**2 - 124*t - 1 What is the h'th term of 1629, 1633, 1637, 1641, 1645? 4*h + 1625 What is the j'th term of -4197, -8396, -12595? -4199*j + 2 What is the q'th term of -1, -30, -97, -214, -393? -2*q**3 - 7*q**2 + 6*q + 2 What is the d'th term of -1008, -1007, -1006, -1005, -1004, -1003? d - 1009 What is the l'th term of 113, 116, 121, 128, 137, 148, 161? l**2 + 112 What is the t'th term of 12, 38, 76, 126, 188? 6*t**2 + 8*t - 2 What is the i'th term of -4, -64, -216, -502, -964, -1644, -2584? -7*i**3 - 4*i**2 + i + 6 What is the x'th term of 78, 152, 272, 444, 674, 968? x**3 + 17*x**2 + 16*x + 44 What is the i'th term of -21, -69, -147, -255, -393? -15*i**2 - 3*i - 3 What is the c'th term of -43, -94, -149, -208, -271? -2*c**2 - 45*c + 4 What is the r'th term of 56, 57, 58? r + 55 What is the a'th term of -4, -7, -8, -1, 20? a**3 - 5*a**2 + 5*a - 5 What is the o'th term of 4, -2, -10, -20, -32, -46? -o**2 - 3*o + 8 What is the i'th term of 126, 495, 1122, 2013, 3174, 4611, 6330? i**3 + 123*i**2 - 7*i + 9 What is the q'th term of 68, 85, 104, 125, 148, 173, 200? q**2 + 14*q + 53 What is the l'th term of -2731, -2730, -2729, -2728? l - 2732 What is the t'th term of -273, -278, -283, -288, -293, -298? -5*t - 268 What is the f'th term of -309, -305, -297, -285, -269? 2*f**2 - 2*f - 309 What is the b'th term of 1026, 1080, 1136, 1194? b**2 + 51*b + 974 What is the j'th term of -1629, -3256, -4885, -6516, -8149? -j**2 - 1624*j - 4 What is the g'th term of 25, 31, 37, 43, 49, 55? 6*g + 19 What is the o'th term of -101, -199, -297, -395, -493, -591? -98*o - 3 What is the w'th term of 107, 98, 81, 50, -1, -78? -w**3 + 2*w**2 - 8*w + 114 What is the v'th term of 7, 19, 39, 73, 127, 207, 319? v**3 - 2*v**2 + 11*v - 3 What is the l'th term of -846, -847, -848, -849? -l - 845 What is the d'th term of 171, 198, 227, 258, 291, 326? d**2 + 24*d + 146 What is the s'th term of -21, -38, -55? -17*s - 4 What is the v'th term of -49, -44, -39, -34, -29, -24? 5*v - 54 What is the i'th term of 37, 69, 99, 127, 153? -i**2 + 35*i + 3 What is the h'th term of 2341, 2339, 2337? -2*h + 2343 What is the x'th term of -1010, -2011, -3010, -4007? x**2 - 1004*x - 7 What is the x'th term of -43, -25, 5, 47? 6*x**2 - 49 What is the f'th term of 1028, 2054, 3082, 4112? f**2 + 1023*f + 4 What is the y'th term of 7, 27, 57, 103, 171, 267, 397, 567? y**3 - y**2 + 16*y - 9 What is the f'th term of -1968, -1966, -1964? 2*f - 1970 What is the v'th term of -75, -78, -81, -84? -3*v - 72 What is the m'th term of 122, 125, 126, 125, 122, 117, 110? -m**2 + 6*m + 117 What is the x'th term of 272, 275, 278, 281, 284, 287? 3*x + 269 What is the z'th term of 56, 38, 0, -64, -160, -294, -472? -z**3 - 4*z**2 + z + 60 What is the g'th term of 79, 136, 195, 256, 319? g**2 + 54*g + 24 What is the r'th term of 50, 26, -42, -178, -406, -750, -1234? -4*r**3 + 2*r**2 - 2*r
{ "pile_set_name": "DM Mathematics" }
replacement from mkbbkkknk. What is prob of picking 2 b and 1 n? 1/84 Two letters picked without replacement from {e: 1, x: 2, g: 5, p: 1}. What is prob of picking 1 g and 1 p? 5/36 What is prob of picking 1 b and 1 h when two letters picked without replacement from hbhhhhbhhhh? 18/55 What is prob of picking 2 c when two letters picked without replacement from cccdcccccdccdc? 55/91 What is prob of picking 2 q when two letters picked without replacement from {j: 5, q: 3}? 3/28 Calculate prob of picking 2 b and 2 g when four letters picked without replacement from {b: 5, g: 9}. 360/1001 Calculate prob of picking 2 s and 1 a when three letters picked without replacement from {u: 1, r: 4, a: 5, t: 3, s: 1}. 0 Two letters picked without replacement from {p: 18, t: 2}. Give prob of picking 1 p and 1 t. 18/95 Two letters picked without replacement from pmppppppwmwpppfpmpwm. Give prob of picking 2 w. 3/190 Two letters picked without replacement from cpscscfsss. What is prob of picking 1 f and 1 c? 1/15 Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {i: 1, x: 2, a: 1, y: 1}. 1/5 What is prob of picking 2 o when two letters picked without replacement from {g: 2, r: 3, o: 3}? 3/28 Two letters picked without replacement from {g: 1, j: 1, s: 2, u: 1, l: 1, f: 2}. Give prob of picking 1 l and 1 f. 1/14 What is prob of picking 2 l when two letters picked without replacement from {e: 5, l: 5}? 2/9 Calculate prob of picking 2 f when two letters picked without replacement from {g: 1, f: 2, h: 1}. 1/6 Two letters picked without replacement from {g: 7, w: 4}. Give prob of picking 2 w. 6/55 Two letters picked without replacement from {q: 5, w: 2, j: 2, x: 9}. What is prob of picking 1 w and 1 x? 2/17 What is prob of picking 1 o and 3 z when four letters picked without replacement from {s: 2, n: 3, v: 1, o: 2, g: 1, z: 6}? 8/273 Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {c: 9, x: 3}. 9/22 Three letters picked without replacement from zzxzzxxzzz. What is prob of picking 1 z and 2 x? 7/40 Calculate prob of picking 2 k when two letters picked without replacement from pkookkfwoooom. 1/26 Two letters picked without replacement from {d: 5, i: 15}. Give prob of picking 2 i. 21/38 Four letters picked without replacement from {g: 1, p: 10, w: 2, n: 4}. What is prob of picking 1 w and 3 p? 12/119 Two letters picked without replacement from ypfhphgshshf. Give prob of picking 1 f and 1 s. 2/33 Two letters picked without replacement from rkkrkrkkz. Give prob of picking 1 k and 1 z. 5/36 Two letters picked without replacement from uccbmccmummccmcccb. What is prob of picking 1 m and 1 b? 10/153 Four letters picked without replacement from ffflpphffhfkhll. What is prob of picking 3 l and 1 k? 1/1365 Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {t: 1, z: 4, v: 3, e: 1, q: 5}. 5/91 What is prob of picking 3 x when three letters picked without replacement from xxwwxwlllxx? 2/33 Four letters picked without replacement from {e: 6}. Give prob of picking 4 e. 1 Four letters picked without replacement from xbsxbxxbabb. What is prob of picking 1 x, 1 s, 1 a, and 1 b? 2/33 Two letters picked without replacement from {u: 1, z: 6, q: 1, c: 6, h: 1}. What is prob of picking 2 z? 1/7 Three letters picked without replacement from alaannnrrranaaalnr. What is prob of picking 2 a and 1 l? 7/136 Four letters picked without replacement from {r: 12, v: 6}. What is prob of picking 4 r? 11/68 Calculate prob of picking 2 d and 2 c when four letters picked without replacement from cdccbbzcdd. 3/35 Calculate prob of picking 2 g when two letters picked without replacement from gkkigtkqtkttkgki. 1/40 Three letters picked without replacement from jjjjjjjjjjjjjjjjjje. What is prob of picking 1 e and 2 j? 3/19 What is prob of picking 4 p when four letters picked without replacement from {q: 5, c: 4, p: 2}? 0 Calculate prob of picking 2 p, 1 e, and 1 v when four letters picked without replacement from {e: 1, p: 4, j: 1, v: 1, b: 11}. 1/510 What is prob of picking 2 q when two letters picked without replacement from vqqzvqqqv? 5/18 Calculate prob of picking 2 h and 1 b when three letters picked without replacement from {h: 3, r: 9, t: 2, b: 4}. 1/68 What is prob of picking 1 h, 1 c, and 1 r when three letters picked without replacement from {r: 1, n: 2, s: 8, a: 2, h: 1, c: 3}? 3/680 Three letters picked without replacement from {a: 2, g: 1, p: 6, b: 1, f: 7}. Give prob of picking 2 a and 1 f. 7/680 Three letters picked without replacement from {a: 5, f: 3}. Give prob of picking 2 f and 1 a. 15/56 Calculate prob of picking 1 w and 1 n when two letters picked without replacement from zzbbnubzunwsnu. 3/91 Two letters picked without replacement from mnm. Give prob of picking 2 m. 1/3 Two letters picked without replacement from {r: 4, w: 1, a: 5, q: 3, n: 1}. Give prob of picking 1 n and 1 r. 4/91 Two letters picked without replacement from tjtnhbtjqttbtqnqjjj. Give prob of picking 1 b and 1 j. 10/171 Four letters picked without replacement from {i: 3, a: 2, z: 2, w: 5}. Give prob of picking 2 w, 1 a, and 1 i. 4/33 Four letters picked without replacement from {f: 7, q: 5}. What is prob of picking 2 q and 2 f? 14/33 Three letters picked without replacement from {q: 12, r: 5, i: 1}. Give prob of picking 1 q and 2 r. 5/34 Four letters picked without replacement from xaxaaxaxxaaaaaaahaha. What is prob of picking 3 x and 1 h? 4/969 What is prob of picking 3 x when three letters picked without replacement from {x: 4, a: 2}? 1/5 Calculate prob of picking 1 g, 1 w, and 2 r when four letters picked without replacement from {h: 1, r: 1, g: 1, p: 3, a: 5, w: 3}. 0 Calculate prob of picking 2 j when two letters picked without replacement from {j: 10}. 1 Three letters picked without replacement from {s: 1, b: 2, v: 2, a: 1, n: 1, p: 2}. Give prob of picking 1 a, 1 v, and 1 s. 1/42 Four letters picked without replacement from {z: 1, n: 1, a: 2, o: 2, w: 1, i: 2}. Give prob of picking 2 o, 1 i, and 1 w. 1/63 Two letters picked without replacement from {y: 3, c: 2}. Give prob of picking 2 c. 1/10 What is prob of picking 1 k, 1 c, and 1 n when three letters picked without replacement from {k: 1, n: 13, c: 1}? 1/35 Four letters picked without replacement from {i: 4, n: 1, x: 1, e: 1, s: 2, a: 3}. What is prob of picking 1 i, 2 a, and 1 n? 4/165 What is prob of picking 4 h when four letters picked without replacement from ttthhhhh? 1/14 Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {b: 1, m: 4, v: 1, r: 5, o: 5}. 1/24 Four letters picked without replacement from sajaasfaafansn. Give prob of picking 4 a. 15/1001 Four letters picked without replacement from mmmmmcmmmmmmm. Give prob of picking 4 m. 9/13 Three letters picked without replacement from {o: 4, x: 6, n: 2, k: 2, i: 2, e: 4}. What is prob of picking 1 x, 1 n, and 1 i? 2/95 Calculate prob of picking 1 r, 2 x, and 1 e when four letters picked without replacement from {n: 8, r: 2, x: 2, e: 1}. 2/715 What is prob of picking 1 t and 1 s when two letters picked without replacement from {g: 4, s: 1, t: 8}? 4/39 What is prob of picking 1 q and 1 n when two letters picked without replacement from jfnnjqjnjjnjpnf? 1/21 Two letters picked without replacement from wpfwcvq. Give prob of picking 1 w and 1 f. 2/21 Four letters picked without replacement from {d: 5, l: 7, a: 7}. Give prob of picking 1 d and 3 a. 175/3876 Two letters picked without replacement from rqffffrprrrfrfrf. What is prob of picking 1 p and 1 f? 7/120 Calculate prob of picking 1 j, 1 s, 1 u, and 1 i when four letters picked without replacement from {u: 2, i: 2, j: 1, p: 1, g: 1, s: 1}. 2/35 Calculate prob of picking 2 o when two letters picked without replacement from {d: 3, o: 2, s: 3, r: 1, g: 1, f: 1}. 1/55 Two letters picked without replacement from {n: 12, g: 1}. What is prob of picking 2 n? 11/13 Two letters picked without replacement from {d: 3, c: 4, n: 5}. Give prob of picking 1 c and 1 n. 10/33 Two letters picked without replacement from {j: 3, c: 2, x: 5, v: 5, s: 3}. What is prob of picking 1 x and 1 j? 5/51 Calculate prob of picking 1 s a
{ "pile_set_name": "DM Mathematics" }
7 + -11 + 35. 25 Calculate (6 - 11 - (8 - 1)) + -15. -27 Calculate 5 + 1 + -6 + -5. -5 Evaluate -8 + 6 + (-13 + 7 - 2). -10 Evaluate (2 - (-9 + -5 + 7)) + (-43 - -1). -33 Evaluate 17 - (3 - (9 + -20)) - 1. 2 What is the value of -40 - (-12 - (-29 + 39))? -18 What is (13 - (-3 - -9)) + -1 + -4? 2 Calculate 53 - (31 - (-33 - -32)). 21 656 + -623 + -39 + -2 -8 What is (178 - 175) + (1 - -1)? 5 What is -13 + (-20 - -9 - -2) + 2? -20 What is the value of -160 + 152 - (-10 - 1)? 3 Evaluate -32 - (9 - (22 - 13) - 11). -21 What is 2 + (0 - 11) + 11? 2 What is the value of (-119 - -79) + 0 + 46? 6 What is (-19 - -1) + (-1617 - -1642)? 7 Calculate 1 - -9 - (543 + -558). 25 0 - 3 - -3 - (-6 + 9 - 3) 0 16 - (7 + (13 - (15 - 5))) 6 36 - 80 - -8 - -14 -22 -31 + (6 - ((-7 - -17) + -9)) -26 38 + (17 - (-1 - -17) - 16) 23 Evaluate 0 - (-1 + -3 + 8). -4 What is the value of -6 + -4 + 7 + -1 + 18 - -7? 21 (1 - 3) + -125 + 133 6 What is the value of (-7 + 0 - 27) + 7 + -4 + -4? -35 What is the value of 9 + 0 - (-2 - 3 - -7)? 7 Evaluate (-23 - 1) + (33 - 25). -16 What is the value of -183 + 176 - (-17 + 1)? 9 What is (1 - 9) + -19 + (1 - (-71 + 21))? 24 Calculate -7 + 4 + -5 + 3 + 1 + 5. 1 What is 15 + -20 + 9 + -3? 1 What is -23 + 40 - 39 - -1? -21 (-20 + 3 - 3) + -133 + 137 -16 What is the value of (-33 - -24 - (2 + 3 + -32)) + 3? 21 Evaluate 88 + -82 + -1 + 1 + 11 + 1. 18 What is the value of (8 - 16) + 3 - -15? 10 What is (20 - 1) + (41 - 53)? 7 2 + -2 - (-25 + 7) 18 What is -21 - (-20 - (-21 - (-10 + 1)))? -13 What is the value of 17 - (-29 - (15 + -36))? 25 What is the value of 7 + 1 + -1 + -25 + 23? 5 Calculate (8 - -18) + -19 - (0 + -1 + 1). 7 What is -4 + -9 + 2 + (-37 - -46)? -2 Calculate (-644 - -637) + 16 + 0. 9 78 - 76 - (-27 - -6) 23 -14 - (7 + -10 - 4 - -14) -21 What is the value of 9 + (13 + -9 - 18)? -5 Evaluate (7 - 1) + -14 + (11 - 2). 1 What is the value of -35 + -24 + 11 + 27? -21 What is the value of 12 + 14 + -3 + -8? 15 30 + -30 + -5 + -15 + 3 -17 Evaluate 0 + 0 + -8 - (-12 + -11). 15 Evaluate -13 - -2 - (-94 + 81). 2 What is the value of -7 - (-9 - (-22 - -25))? 5 Evaluate 10 - (0 - -1 - (-8 - 1 - -10)). 10 Calculate 7 - 2 - (0 - -13 - (13 - -3)). 8 What is the value of -16 - 0 - (-47 - -25)? 6 What is the value of (-5 - (-7 - (6 + -6))) + -10? -8 Calculate (1581 - 1614) + 0 + 22. -11 What is the value of 60 - (-40 + 100) - (1 + 0 - -5)? -6 0 + 10 - (5 + 9 + 1) -5 13 + (-28 + (17 - -7) - (-15 - -2)) 22 Evaluate -9 + ((1 - 6) + 8 - 2) + 4. -4 What is the value of (6 + -12 - -7) + -1? 0 Calculate 0 + 19 - (-78 - -94). 3 What is the value of 429 + -427 + 2 + -2? 2 Calculate 1 + 4 - -15 - 41. -21 What is the value of -5 + 0 + -1 - (-21 + 45 + -17)? -13 (28 - (43 + 26 + -30)) + (2 - -1) -8 9 + 3 + (-31 - -27) 8 What is the value of -5 - (-2 - 1 - (0 - (-17 - -18)))? -3 Calculate -40 + 47 + 0 + (-1 - 9). -3 What is the value of 0 + (-14 - (-31 - (-10 + 17)))? 24 Evaluate 4 - (3 - (3 + -7 + (4 - 4))). -3 Calculate 11 + -2 - (5 + -16 + 24). -4 Calculate -5 - -27 - (2 + 1). 19 What is 4 + (-11 + -2 - (7 + -9))? -7 What is 131 + -126 - (10 + 3)? -8 What is (4 + 4 - (-6 + 19)) + 13 + -3? 5 -11 + 2 - 1 - (0 + -5 + -32) 27 Evaluate -2 - -2 - (-16 - -11). 5 8 - (16 + (16 - 20) - (1 - -8)) 5 (-12 - -27) + (14 - 39) -10 What is (17 - 8) + -8 + -6? -5 What is the value of 1 + 15 + -116 + 103? 3 What is 2 + -4 + -1 + -5 + -1? -9 (-19 - -55) + -38 - (-30 - 0 - 1) 29 (-4 - -8) + (22 - (1 + 11)) 14 101 + -101 + -16 + 0 - -1 -15 Evaluate -1 - ((14 - 10) + 6). -11 What is the value of -20 + 48 - 21 - (-12 + 3)? 16 Calculate -82 + 103 + (-43 - 2) + (1 - 3). -26 Calculate 13 - ((-6 - 9) + 12). 16 Calculate -16 + -12 + 23 + -1 + 10. 4 13 + (-3 - 28) - -34 16 Evaluate (-4 - -9 - 1 - 3) + -22 + 43. 22 Evaluate 8 - (29 + -45) - 49. -25 -19 + 10 + 7 - ((-9 - -3) + 2) 2 Calculate -260 + 271 - (-2 + 0 + 6 - -2). 5 -13 + (-11 - -9) - -5 -10 What is -16 + 1 + 11 + 4 + -3 + -3? -6 Calculate 2 + (3 - 7) - (-9 + (-10 - -29)). -12 Evaluate 0 + -18 + (1211 - 1181). 12 What is the value of 6 + (6 - -8) + -5 + -3 + 3? 15 What is the value of -9 + (545 + -542 - (-38 - (1 - 2)))? 31 What is 1 + -4 + 24 + -26 - (1 - 1)? -5 Evaluate -4 + -3 + (10 - 9) + -3. -9 Evaluate 158 + -147 + (-3 + 3 - 1). 10 Evaluate -24 + -15 + 14 + (15 - 3). -13 Calculate (-2 + -5 - -1) + 2 + 7 + -10. -7 Calculate -1 + (47 - (-21 - -52)). 15 Calculate 16 - 11 - (38 - 13). -20 Calculate 21 + 8 - (20 - (30 + -16)). 23 Calculate -1 + 3 + -4 + 2 + -2 + 1. -1 (2 - 7) + 11 + 11 + (3 - 9) 11 -5 + (-1 - (11 - 25)) 8 Evaluate 17 + (-11 - -16 - 12). 10 Evaluate -3 + (-4 - 2) - (78 + -67). -20 Calculate -9 - 13 - (63 + -72). -13 Calculate -18 + (18 - -4 - 18). -14 -5 - ((6 - 6) + 2 + -5) - 5 -7 What is (-2 - -8) + (687 - 667)? 26 Evaluate (4 - 2 - 8) + (85 - -12 - 116). -25 What is the value of 13 + 1 + (-33 - -51) + (2 - 22)? 12 What is (-22 - -56) + -29 + (7 - (-1 + 3))? 10 What is (13 - (19 + 4 + -4)) + -14? -20 What is the value of (0 - 28) + -2 + -16 + 2 + 21? -23 (1 - 1) + (-296 - -287) -9 What is the value of (2 - 6) + -2 + (211 - 202)? 3 Calculate 11 - (3 + (9 - -19)). -20 Evaluate -8 - 5 - (-41 + 11) - (0 + -9). 26 What is the value of -32 + 12 + 14 - 22? -28 Evaluate -34 - (-32 + 3 + -35). 30 What is the value of -2 - 8 - (-3 - (-4 + (-1 - -3)))? -9 Calculate 4 + (-11 + 13 - 12) + 1. -5 6 + 0 + (9 - 10) - 6 -1 What is the value of -2 + (13 - 11) + -16 + 1 + 2? -13 What is -37 + 5 + (7 - 13 - -14)? -24 Calculate -11 + 289 + -285 + (2 - -1). -4 Calculate -9 - (-2 + 8 + (-26 - -23)). -12 What is -19 + 35 + -18 + -3? -5 -53 + 26 - 10 - -13 -24 Evaluate (15 - (30 + 9)) + 0. -24 What is 18 + 17 + (-15 + 5 - 16)? 9 What is the value of -105 - -92 - (-6 + 0 + -1)? -6 What is the value of 13 - (6 + -1) - -8? 16 Evaluate 33 - 34 - (1 + 10 - 23). 11 (3 - (-10 - -6)) + 1 + 3 + -5 6 Calculate -7 + (4 - (4 + -4 - 6 - -10)). -7 What is 3 - (27 + -22 - -18)? -20 What is the value of -7 - (-1 - ((0 - 0) + 4))? -2 Calculate 16 - (0 - (-4 - -1)). 13 -1 + -41 + 60 + 0 18 What is 2 - (-14 + -3 + (35 - 27))? 11 What is 12 + (2 - 0 - (14 - 8))? 8 Evaluate 0 + -17 + 8 + -2 + 3 + 14. 6 Calculate -25 + -4 + -6 + 15 - -10. -10 3 - 4 - -1 - (0 - 4) 4 What is the value of (-11 - (-10 + -2 - -4)) + -2? -5 What is 9 + 7 + (-4 - (-22 + 13))? 21 What is 0 - 0 - 15 - (-11 + -6 + 13)? -11 What is the value of (-5 - -14) + -3 - -2? 8 Evaluate 4 + -6 + 6 + -23 + 10. -9 Calculate 8 - (19 - 11) - -15 - 5. 10 What is the value of -7 - (15 - 6 - 3) - -8? -5 Evaluate -1 + -8 + 0 + (-6 - -18). 3 Evaluate -2 + 4 + -5 + (-33 - -29). -7 What is the value of -3 + -19 + -19 + 45? 4 What is 42 - ((-66 - -43) + 33)? 32 Evaluate -2 + (3 - -2 - ((-3 - -3) + -4)). 7 What is the value of 4 + 2 - -3 - (-46 - -55)? 0 Calculate (22 - (23 + -6)) + -2 - (10 + 0). -7 What is 5 - ((8 - (-3 + 6)) + 4) - 12? -16 Calculate (-7 - (-6 - -2)) + -6 + 27. 18 What is -1875 + 1887 + (-1 - (-1 - (0 + -1)))? 11 -7 - (3 - 4) - (39 - 24) -21 What is (-3 - (-27 + 0)) + -41? -17 Calculate 4 + -5 + 0 + 12. 11 Calculate (2 - 0) + -28 + (-7 - -10) + 9. -14 Calculate -10 - (-5 + (-5 - -6 - (-1 - -1))). -6 What is the value of 20 + 17 + (-2 - 6) + -6 + -2? 21 What is (3 - 1) + -6 - (407 + -396)? -15 Calculate 19 + -11 + -3 + 15. 20 What is (13 + (-12 - -5) - (0 - -5)) + 6? 7 What is -10 - (14 - 10 - 2) - (3 + 0)? -15 What is the value of (3 + 7 - (3 + -8 + 0)) + -3? 12 Evaluate (-41 + 24 - -35) + (-9 - -3). 12 -19 - (-49 - (-18 + -4)) 8 What is the value of 8 + 1 + 0 - (-78 + 49 - -24)? 14 Evaluate 1 + -3 - (-7 + 14 + -17). 8 Evaluate -7 + 19 + -15 + -33. -36 7 + -1 + 0 + (-2 - -7) + 4 15 Evaluate -8 + -11 + (0 - (-2 - 3) - 2). -16 8 + -9 + -4 - (0 + 1 - -4) -10 Evaluate 9 - ((-5 - -6) + (-5 - 1)). 14 0 + 2 + 42 + -43 - (2 - 7) 6 1 + -1 - ((12 - (-9 - -32)) + 14) -3 Evaluate 15 + -38 + 16 - (-1 + -18) - -9. 21 -7 - -23 - 7 - 16 - -20 13 1 + (-7 - -9) + 6 + 2 + 6 17 Calculate 23 + 1 + -4 - (6 - (12 + -5)). 21 -9 + (0 - (-10 - -8)) -7 What is (-1 - -3) + 2 + -3 + 0 + 4? 5 (4 - (5 + -6)) + (3 - (5 + -3)) 6 What is the value of -10 - (8 - (-7 - -3)) - -12? -10 Calculate (11 - 1) + (22 - 73 - -66). 25 What is the value of -4 + 13 + -2 + -4? 3 Evaluate -406 + 413 + -2 + 0 + 0 + -40. -35 Wha
{ "pile_set_name": "DM Mathematics" }
3*f**2 + 3*f. What is 2*q(t) + 3*y(t)? 3*t**2 Let s(q) = -2*q**2 + 2*q + 4. Let u be -3 - (63/(-3) + -1). Let i = u + -13. Let y(v) = 5*v**2 - 3*v**2 - i*v - 3 + 4*v. What is -4*s(z) - 5*y(z)? -2*z**2 + 2*z - 1 Let u = -7 + 6. Let x(j) = -j**3 + j**2 - j + 1. Let l(m) = -4*m**3 + 2*m**2 - 3*m + 1. Determine u*l(n) + 3*x(n). n**3 + n**2 + 2 Let b(i) = i**3 - 3*i - 3. Let q be (-25)/7 + 15/(-35). Let c = -2 - -5. Let g be (1 - 5) + c + -2. Let l(w) = -w**3 + 4*w + 4. What is g*l(o) + q*b(o)? -o**3 Let o(h) = h**3 + 6*h**2 + 2*h - 2. Let x(k) = -2*k**3 - 6*k**2 - 3*k + 3. Determine 3*o(i) + 2*x(i). -i**3 + 6*i**2 Suppose -5*t + 18 + 12 = 0. Let u(r) = -r + 5. Let p be u(t). Let x(a) = -a**2. Let n(s) = -2*s**3 - 6*s**2. Give p*n(g) + 5*x(g). 2*g**3 + g**2 Let d(b) = 0 - 2 - 3 + 2 + 3*b - 5*b**2. Let t(r) = 6*r**2 - 4*r + 4. Calculate 4*d(g) + 3*t(g). -2*g**2 Let v(i) = -i - 1. Let m be (-8)/2*1*3. Let o = 0 + 1. Let c(q) be the second derivative of -5*q**3/3 - 5*q**2 + 10*q + 1. Determine m*v(w) + o*c(w). 2*w + 2 Let r(n) = -4*n + 4*n**2 + n**3 - 1 - 5*n**2 + 3*n + 2*n**2. Suppose -2*m = 3*w - 13, -4*w - w + 4*m - 15 = 0. Let p(i) = i**2 - i - 1. Give w*p(c) - r(c). -c**3 Let u(s) = s - 5. Let l(j) = 2*j - 5. What is -3*l(o) + 4*u(o)? -2*o - 5 Let k(z) = -12*z**3 - 6*z**2 - z - 7. Let d(a) = a**3 + a**2 + 1. Determine -6*d(f) - k(f). 6*f**3 + f + 1 Let l(x) = -20*x**2 - 62*x + 12. Let o(d) = -8*d**2 - 25*d + 5. Give -5*l(h) + 12*o(h). 4*h**2 + 10*h Let d(w) = 4*w + 4. Let u(v) = -11*v + 5. Let a(q) = -q + 2 + 0*q - 3*q. Let j(b) = 8*a(b) - 3*u(b). Calculate -d(f) + 2*j(f). -2*f - 2 Let o(i) = 7*i**3 - 4*i**2 - 6. Let j be (-8)/(-12) - (-40)/(-6). Let g(u) = u**3 - u**2 - 1. What is j*g(p) + o(p)? p**3 + 2*p**2 Let m(u) = 3*u + 3. Let r(p) = p - 1. Give m(s) - 5*r(s). -2*s + 8 Let d(s) = 2*s**3 + 12*s**2 - 12*s - 2. Let c(i) = i**3 + 5*i**2 - 5*i - 1. Suppose -5 = 3*f - 2*f + b, 4*f = b - 20. Determine f*d(a) + 12*c(a). 2*a**3 - 2 Let i(x) = -x**2 + x. Let z(t) = -t**3 - 5*t + 3*t**2 + t + 4*t**2 - 2*t. Determine 6*i(v) + z(v). -v**3 + v**2 Suppose a - y - 1 = 0, 6*y - 7*y = -3*a - 3. Let r(o) = -o**2 + o - 1. Let k(u) = -u**2 - u + 1. What is a*r(z) - 2*k(z)? 4*z**2 Let j(z) = z + 1. Let p(o) = -1. Let v(x) = -6. Let d(k) = 11*p(k) - 2*v(k). Calculate d(u) - j(u). -u Let q(f) = 3*f**2 + 4*f. Let d(u) = u**2 - u. Determine -3*d(c) - q(c). -6*c**2 - c Suppose -6 = 2*r - 5*n - 2, 3*r - 2*n = 5. Let m(i) = -21*i - 3 + r + 22*i. Let v(x) = 3*x - 2. Determine -5*m(f) + v(f). -2*f - 2 Let u(n) = -n**3 + 3*n**2 + n - 2. Let v be (-15)/(-21) - 4/(-14). Let t(c) = -c**2 - c + 1. Calculate v*u(h) + 3*t(h). -h**3 - 2*h + 1 Let s(c) = -2*c**3 + 6. Let h(p) = 2*p**3 - 5. Give -6*h(q) - 5*s(q). -2*q**3 Let l(r) = r**2 - r. Let y(g) be the second derivative of 0 + 1/2*g**2 + 7/12*g**4 - 2*g - 4/3*g**3. Suppose 6*f - 1 + 7 = 0. Give f*y(q) + 6*l(q). -q**2 + 2*q - 1 Let b(x) = 7*x**2 - 9*x + 7. Let h(u) = 6*u**2 - 8*u + 6. Let j be 0 - (-1)/3 - (-17)/3. Determine j*h(r) - 5*b(r). r**2 - 3*r + 1 Suppose 7 = -2*c - 1. Let p(s) = -16*s - 5. Let n(l) = 3*l + 1. Suppose 0 = j + 3*h + 7, -2*h + 0*h + 10 = 0. What is c*p(r) + j*n(r)? -2*r - 2 Let d(h) be the second derivative of -h**5/10 - h**4/12 + h**2 + 2*h. Let r(f) = 15 - 24 - 2*f**3 + 11 - f**2. Determine -5*d(c) + 4*r(c). 2*c**3 + c**2 - 2 Let f(n) = -n**2 + 2*n + 4. Let v(x) be the second derivative of -x**4/12 + x**3/3 + 3*x**2/2 - 5*x. Determine -2*f(z) + 3*v(z). -z**2 + 2*z + 1 Let v(o) = -8*o**3 - 5*o**2 + 7. Let q(z) = 8*z**3 + 6*z**2 - 8. Calculate 5*q(h) + 6*v(h). -8*h**3 + 2 Let s(g) = -3*g**3. Let x(d) be the third derivative of d**6/60 - 12*d**2. Give 5*s(z) + 6*x(z). -3*z**3 Let d(f) = 5*f**2 - 3*f - 3. Let y(r) = -9*r**2 + 5*r + 5. Let t = 1 + 6. Let p = 5 - 1. Give p*y(v) + t*d(v). -v**2 - v - 1 Let o(d) = 11*d + 29. Let w(k) = -4*k - 10. Calculate 3*o(g) + 8*w(g). g + 7 Suppose 0 = 3*b + 7 + 2. Let k = -5 + b. Let y(g) = -g**3 - 7*g**2 + 7*g - 6. Let x be y(k). Let l(j) = j - 4. Let u(o) = -1. Determine x*u(m) - l(m). -m + 2 Let o(f) = -7*f**3 - 5*f**2 - 5. Let x(q) be the first derivative of 3*q**4/4 + 2*q**3/3 + 2*q - 6. Determine -6*o(w) - 15*x(w). -3*w**3 Let h(q) be the first derivative of -q**3/3 - 9*q**2/2 - 7*q - 14. Let d(r) = r + 7 + 4 + 2*r**2 + 13*r. What is 5*d(o) + 8*h(o)? 2*o**2 - 2*o - 1 Let a(j) = 3*j + 3. Let v(n) = -3*n - 2. Give -6*a(b) - 7*v(b). 3*b - 4 Let i(o) = 6*o**2 + 2*o + 3. Let d(a) = 7*a**2 + a + 4. Calculate 3*d(r) - 4*i(r). -3*r**2 - 5*r Let p(n) be the second derivative of n**3/6 - n**2/2 - 2*n. Suppose -r - 5*s + 0 = 19, -5*r + 9 = -s. Let t(x) = -x + 2 + 0 - 1. Determine r*t(f) + 2*p(f). f - 1 Let r be ((-2)/4)/(2/24). Let l(s) = 2*s**2 - 4*s + 3. Let x(o) = -3*o**2 + 7*o - 5. Let d = 23 - 33. What is d*l(f) + r*x(f)? -2*f**2 - 2*f Let g be 168/(-32) + 6/(-8). Let p(b) = -5*b**3 + 8*b**2 + 7*b + 6. Let s(k) = 9*k**3 - 15*k**2 - 13*k - 11. Calculate g*s(z) - 11*p(z). z**3 + 2*z**2 + z Let f(x) = 15*x**2 - 12*x + 12. Let b(o) be the first derivative of -o**3/3 + o**2/2 - o - 6. Give -12*b(w) - f(w). -3*w**2 Let v(w) be the third derivative of w**5/30 + w**4/8 + 4*w**2. Let a(s) = -6*s**2 - 8*s - 1. Give -3*a(l) - 8*v(l). 2*l**2 + 3 Let h be 10 + 0 - (3 - 2). Suppose -4*y = 5 - h. Let i(w) = 7*w + 4. Let m(b) = -7*b + 3*b - 1 + 3*b. What is y*i(c) + 6*m(c)? c - 2 Let w(v) = 4*v + 2*v - 4*v + 3. Let x(g) = -13*g - g - 13 + 3*g + 2*g. Determine 26*w(z) + 6*x(z). -2*z Let h(j) = 36*j**3 - 4*j**2 + 16*j + 6. Let y(q) = 12*q**3 - q**2 + 5*q + 2. What is 3*h(w) - 10*y(w)? -12*w**3 - 2*w**2 - 2*w - 2 Let x(k) = 36*k + 8. Let m(r) = -24*r - 5. Calculate 8*m(d) + 5*x(d). -12*d Let t(z) = -13*z**3 + 15*z**2 + 9. Let h(i) = -7*i**3 + 8*i**2 + 5. Suppose -6*l - 52 = -2*l. Let x = l - -19. What is x*t(s) - 11*h(s)? -s**3 + 2*s**2 - 1 Let q(j) = 8*j**3 + 11*j**2 + 11*j + 11. Let f(r) = 3*r**3 + 4*r**2 + 4*r + 4. Give -11*f(p) + 4*q(p). -p**3 Let u(o) = -o. Let j(g) = -9*g**2 + 18*g. Calculate -j(c) - 18*u(c). 9*c**2 Let n = 2 + 1. Let t(b) = -b**3 + 3*b**2 - b. Let v be t(n). Let r(y) = 4*y + 11 - 6 - 6. Let k(x) = 5*x - 2. What is v*r(j) + 2*k(j)? -2*j - 1 Let r(d) = 2*d**3 - 6*d + 4. Let x(v) = -v + 2*v - 1 + 0*v. Determine -r(c) - 5*x(c). -2*c**3 + c + 1 Let s(g) = 2*g + 28. Let r(d) = -d - 1. Calculate -r(v) + s(v). 3*v + 29 Let t(i) = -2*i**3 + 6*i**2 - 6. Let x(k) = 6*k + 18*k**3 - 8*k + 0*k + 2 - 1. Let r be x(1). Let v(f) = -6*f**3 + 17*f**2 - 17. Determine r*t(u) - 6*v(u). 2*u**3 Let p(w) = -5*w**2 + 123. Let t(q) = q**2 - 31. Calculate -2*p(h) - 9*t(h). h**2 + 33 Let b(q) = 2*q - 4. Let j(m) = -m + 2. Suppose -3*k + 45 = 5*a, -5*a + 2*k - 6 = -51. Suppose 6*p + a = 3*p. Let h = 9 + p. Calculate h*b(w) + 13*j(w). -w + 2 Let u(g) = -24*g**3 - 4*g**2 - 6. Let q(k) = 49*k**3 + 9*k**2 + 13. What is -4*q(i) - 9*u(i)? 20*i**3 + 2 Let m(y) = -y. Let f = -5 + 2. Let i = -7 - f. Let d = i + 3. Let h(r) = 7*r + 2. Determine d*h(c) - 6*m(c). -c - 2 Let m(w) = -51*w**3 + 4*w**2 + 4*w + 3. Let z(l) = -101*l**3 + 7*l**2 + 7*l + 5. Calculate -7*m(u) + 4*z(u). -47*u**3 - 1 Let c(w) = 5*w**2 + 2*w. Let z(r) = 2*r - 5. Let j be z(7). Suppose 3*t = -2*t + 20. Suppose 2*s - s = -t. Let i(x) = 11*x**2 + 5*x. Determine j*c(a) + s*i(a). a**2 - 2*a Let y(s) = 2*s. Let p(r) be the third derivative of -r**6/720 + r**4/8 - r**2. Let d(h) be the second derivative of p(h). Determine -2*d(m) - 2*y(m). -2*m Let n be 0 - (-3 + 2)*-6. Let z be ((-4)/n)/((-2)/3). Let b(y) = -5*y**2 + 3*y - 1. Let d(l) = l**2 - l + 1. What is z*b(p) - 3*d(p)? 2*p**2 - 2 Let n(i) be the first derivative of -5*i**4/2 + 16*i**3/3 - 7*i**2/2 - 3*i + 26. Let p(y) = -3*y**3 + 5*y**2 - 2*y - 1. Determine 2*n(q) - 7*p(q). q**3 - 3*q**2 + 1 Let i(n) = -3*n**3 + n**2 + 4*n. Let p(k) = 7*k**3 - k**2 - 9*k. Determine -5*i(f) - 2*p(f). f**3 - 3*f**2 - 2*f Let p(c) = -3*c**3 + 4*c**2 - 3*c - 5. Suppose -3*r + 5 = -4*r. Let u(s) = -2*s**3 + 3*s**2 - 2*s - 4. Calculate r*u(n) + 4*p(n). -2*n**3 + n**2 - 2*n Let a(i) = -175*i - 7. Let k(n) = 58*n + 2. Determine -2*a(y) - 7*k(y). -56*y Let a(h) = 0*h + 2 - 3*h**3 + 2*h + 0 - 14*h**2 + 12*h**2. Let q(w) = 48*w**3 + 33*w**2 - 33*w - 33. Calculate -33*a(s) - 2*q(s). 3*s**3 Let t(j) = 6*j**3
{ "pile_set_name": "DM Mathematics" }
zjzfkvvjjvgff? 2/1365 Calculate prob of sequence vlll when four letters picked without replacement from llllvllllgl. 7/110 What is prob of sequence sq when two letters picked without replacement from wssqwqqwnw? 1/15 Calculate prob of sequence xxdp when four letters picked without replacement from xxpkxkkdkxkkxxk. 1/1092 Four letters picked without replacement from {o: 2, k: 9}. What is prob of sequence kkok? 7/55 What is prob of sequence qzz when three letters picked without replacement from pppppppqazqqqpzpqq? 1/408 Two letters picked without replacement from {c: 3, z: 5, d: 4}. Give prob of sequence cd. 1/11 Calculate prob of sequence ttt when three letters picked without replacement from {t: 8, b: 1, j: 4}. 28/143 Three letters picked without replacement from {b: 1, s: 1, u: 2, j: 2, p: 2}. Give prob of sequence jsu. 1/84 Calculate prob of sequence kee when three letters picked without replacement from ekeoeeeeek. 7/60 Calculate prob of sequence eo when two letters picked without replacement from {e: 5, k: 1, z: 4, o: 3}. 5/52 What is prob of sequence xma when three letters picked without replacement from {m: 2, l: 2, z: 1, q: 1, x: 4, a: 2}? 2/165 Four letters picked without replacement from {p: 1, q: 2, c: 1, v: 2}. Give prob of sequence qcqp. 1/180 What is prob of sequence nn when two letters picked without replacement from noonoooooooonnoonoo? 10/171 Two letters picked without replacement from ksskkk. Give prob of sequence ks. 4/15 Calculate prob of sequence qz when two letters picked without replacement from zzzzqzzzzzqqzzqzzzz. 10/57 Three letters picked without replacement from {l: 1, a: 2, h: 4, f: 1, c: 10}. Give prob of sequence haa. 1/612 What is prob of sequence eecc when four letters picked without replacement from {c: 2, e: 11}? 1/78 Two letters picked without replacement from xbxxgvxgvghkxvxvhkk. Give prob of sequence kh. 1/57 Calculate prob of sequence sc when two letters picked without replacement from {z: 1, m: 5, a: 1, s: 3, c: 1, q: 1}. 1/44 Calculate prob of sequence ks when two letters picked without replacement from ksskkkkkkkskkkk. 6/35 Calculate prob of sequence ccc when three letters picked without replacement from uaaavacaacvcac. 1/91 Two letters picked without replacement from {d: 2, b: 7, a: 1, m: 2, z: 1, x: 2}. Give prob of sequence dz. 1/105 Calculate prob of sequence ccd when three letters picked without replacement from drcrrrcrrgrcgrrgd. 1/340 Two letters picked without replacement from mmmamaa. What is prob of sequence ma? 2/7 Two letters picked without replacement from lslcllllzlulllllc. Give prob of sequence uz. 1/272 Three letters picked without replacement from niimsiq. What is prob of sequence qsm? 1/210 What is prob of sequence yoy when three letters picked without replacement from ypopyoyoypyiy? 15/286 Two letters picked without replacement from {l: 1, t: 1, d: 5, g: 2, u: 1}. What is prob of sequence td? 1/18 What is prob of sequence ss when two letters picked without replacement from sgsgeddeg? 1/36 Calculate prob of sequence svv when three letters picked without replacement from ssvsvssssvs. 8/165 Four letters picked without replacement from rpjpprprrrr. Give prob of sequence jrrr. 1/66 Two letters picked without replacement from szhssshsss. Give prob of sequence zs. 7/90 What is prob of sequence br when two letters picked without replacement from {m: 7, b: 6, q: 2, g: 4, r: 1}? 3/190 Two letters picked without replacement from {r: 1, v: 1, x: 1, j: 2, p: 1, w: 2}. What is prob of sequence pj? 1/28 What is prob of sequence ggeg when four letters picked without replacement from {g: 3, e: 3}? 1/20 Two letters picked without replacement from yyaa. Give prob of sequence yy. 1/6 Calculate prob of sequence zzt when three letters picked without replacement from {z: 4, y: 1, l: 4, t: 2, q: 2, v: 7}. 1/285 Four letters picked without replacement from {t: 1, a: 3, n: 2, s: 1, q: 4, d: 4}. Give prob of sequence nnat. 1/5460 Three letters picked without replacement from {a: 3, y: 15, k: 2}. What is prob of sequence kya? 1/76 What is prob of sequence bubb when four letters picked without replacement from {z: 2, q: 1, u: 3, b: 9, y: 2, n: 1}? 7/340 What is prob of sequence lxjm when four letters picked without replacement from mlxjj? 1/60 What is prob of sequence yo when two letters picked without replacement from ydoydoyyoodryoy? 1/7 Four letters picked without replacement from {j: 16, x: 4}. What is prob of sequence jjjj? 364/969 Four letters picked without replacement from yicicviccc. What is prob of sequence yvii? 1/840 Calculate prob of sequence gg when two letters picked without replacement from bboaaaagaagsbss. 1/105 What is prob of sequence vbb when three letters picked without replacement from lvdbbdb? 1/35 Three letters picked without replacement from {l: 3, i: 1}. What is prob of sequence lll? 1/4 Calculate prob of sequence rk when two letters picked without replacement from krvqpvvvererv. 1/52 What is prob of sequence qd when two letters picked without replacement from ttxxqdydxxdp? 1/44 Four letters picked without replacement from {g: 4, s: 2, u: 6, p: 3}. Give prob of sequence uugs. 2/273 What is prob of sequence al when two letters picked without replacement from {p: 2, x: 3, t: 1, f: 3, l: 1, a: 1}? 1/110 What is prob of sequence dfk when three letters picked without replacement from {f: 1, c: 1, d: 1, o: 2, k: 1, h: 1}? 1/210 What is prob of sequence wszz when four letters picked without replacement from {t: 1, w: 1, z: 2, s: 1, k: 2, a: 1}? 1/840 Three letters picked without replacement from {w: 4, h: 2}. Give prob of sequence whh. 1/15 Four letters picked without replacement from {p: 1, z: 1, b: 1, g: 2, f: 1, m: 1}. Give prob of sequence zfgp. 1/420 What is prob of sequence ssgg when four letters picked without replacement from ssssgsgs? 1/28 Four letters picked without replacement from dsjjukjsjj. Give prob of sequence skud. 1/2520 What is prob of sequence nn when two letters picked without replacement from nnnn? 1 Three letters picked without replacement from eeeeeeeeee. Give prob of sequence eee. 1 Calculate prob of sequence nvm when three letters picked without replacement from moohovvnoo. 1/360 What is prob of sequence xuum when four letters picked without replacement from {u: 2, x: 4, y: 1, i: 7, m: 1}? 1/4095 What is prob of sequence yfy when three letters picked without replacement from ydfdfyjfyfddf? 5/286 Three letters picked without replacement from ejeeeeej. Give prob of sequence jje. 1/28 Calculate prob of sequence yyoe when four letters picked without replacement from ttattyseaeayyayaaoae. 1/3230 Four letters picked without replacement from {i: 2, t: 3, h: 5, f: 3, x: 1, k: 6}. What is prob of sequence kkhx? 5/3876 Three letters picked without replacement from {h: 5, t: 5, g: 3}. What is prob of sequence thh? 25/429 Four letters picked without replacement from {s: 9, l: 7}. Give prob of sequence slsl. 9/130 Three letters picked without replacement from iininniiniiiiniiinn. Give prob of sequence nni. 28/323 Calculate prob of sequence yfx when three letters picked without replacement from xyyxzcxyxftxx. 3/286 What is prob of sequence ne when two letters picked without replacement from knpemmfn? 1/28 Four letters picked without replacement from hthmmmtt. What is prob of sequence thtm? 3/140 What is prob of sequence xm when two letters picked without replacement from mxxmxxmxmxmx? 35/132 What is prob of sequence vuhn when four letters picked without replacement from {v: 1, u: 2, r: 2, h: 1, o: 1, n: 1}? 1/840 Calculate prob of sequence kjk when three letters picked without replacement from {s: 1, j: 1, k: 2, z: 1}. 1/30 Three letters picked without replacement from fuareau. Give prob of sequence rea. 1/105 Two letters picked without replacement from hhhhhhhhhhhhhhhvhh. What is prob of sequence vh? 1/18 Calculate prob of sequence sts when three letters picked without replacement from {s: 3, b: 5, h: 4, t: 7}. 7/969 Four letters picked without replacement from {v: 15, z: 4}. Give prob of sequence vvzv. 455/3876 Two letters picked without replacement from nnff. Give prob of sequence ff. 1/6 Calculate prob of sequence xx when two letters picked without replacement from xxxxxxxx
{ "pile_set_name": "DM Mathematics" }
teger? 48 What is 23820 to the power of 1/2, to the nearest integer? 154 What is 5719 to the power of 1/3, to the nearest integer? 18 What is 6975 to the power of 1/3, to the nearest integer? 19 What is 3909 to the power of 1/6, to the nearest integer? 4 What is 3385 to the power of 1/3, to the nearest integer? 15 What is the cube root of 17322 to the nearest integer? 26 What is 1609 to the power of 1/8, to the nearest integer? 3 What is the third root of 44278 to the nearest integer? 35 What is the ninth root of 64184 to the nearest integer? 3 What is the tenth root of 22815 to the nearest integer? 3 What is 1270 to the power of 1/6, to the nearest integer? 3 What is 74395 to the power of 1/3, to the nearest integer? 42 What is 14083 to the power of 1/3, to the nearest integer? 24 What is 1746 to the power of 1/3, to the nearest integer? 12 What is the third root of 1266 to the nearest integer? 11 What is the third root of 8325 to the nearest integer? 20 What is 19266 to the power of 1/2, to the nearest integer? 139 What is the square root of 9352 to the nearest integer? 97 What is 692 to the power of 1/3, to the nearest integer? 9 What is 70 to the power of 1/2, to the nearest integer? 8 What is 13946 to the power of 1/2, to the nearest integer? 118 What is the cube root of 1772 to the nearest integer? 12 What is the seventh root of 10870 to the nearest integer? 4 What is the fourth root of 2687 to the nearest integer? 7 What is the third root of 19961 to the nearest integer? 27 What is 1119 to the power of 1/3, to the nearest integer? 10 What is 10290 to the power of 1/2, to the nearest integer? 101 What is 2315 to the power of 1/2, to the nearest integer? 48 What is the fourth root of 60505 to the nearest integer? 16 What is the ninth root of 8527 to the nearest integer? 3 What is the square root of 38375 to the nearest integer? 196 What is 590 to the power of 1/2, to the nearest integer? 24 What is 31095 to the power of 1/2, to the nearest integer? 176 What is 618 to the power of 1/4, to the nearest integer? 5 What is the eighth root of 88822 to the nearest integer? 4 What is 47276 to the power of 1/7, to the nearest integer? 5 What is 1138 to the power of 1/2, to the nearest integer? 34 What is the square root of 33682 to the nearest integer? 184 What is 523 to the power of 1/2, to the nearest integer? 23 What is the cube root of 1624 to the nearest integer? 12 What is 639 to the power of 1/2, to the nearest integer? 25 What is the third root of 136 to the nearest integer? 5 What is the third root of 139 to the nearest integer? 5 What is the third root of 80458 to the nearest integer? 43 What is the tenth root of 5851 to the nearest integer? 2 What is 1334 to the power of 1/2, to the nearest integer? 37 What is the square root of 6980 to the nearest integer? 84 What is the square root of 116 to the nearest integer? 11 What is the square root of 141 to the nearest integer? 12 What is the fourth root of 1171 to the nearest integer? 6 What is the cube root of 40164 to the nearest integer? 34 What is 4430 to the power of 1/2, to the nearest integer? 67 What is 273 to the power of 1/2, to the nearest integer? 17 What is 2464 to the power of 1/2, to the nearest integer? 50 What is the square root of 1476 to the nearest integer? 38 What is 4970 to the power of 1/4, to the nearest integer? 8 What is the square root of 509 to the nearest integer? 23 What is 66767 to the power of 1/2, to the nearest integer? 258 What is 5248 to the power of 1/5, to the nearest integer? 6 What is the square root of 1595 to the nearest integer? 40 What is the fourth root of 3754 to the nearest integer? 8 What is 4005 to the power of 1/3, to the nearest integer? 16 What is 2628 to the power of 1/10, to the nearest integer? 2 What is 2916 to the power of 1/4, to the nearest integer? 7 What is the cube root of 8879 to the nearest integer? 21 What is the ninth root of 3881 to the nearest integer? 3 What is the ninth root of 3241 to the nearest integer? 2 What is the cube root of 22952 to the nearest integer? 28 What is 53142 to the power of 1/2, to the nearest integer? 231 What is the fourth root of 559 to the nearest integer? 5 What is the fourth root of 526 to the nearest integer? 5 What is the square root of 3830 to the nearest integer? 62 What is 12566 to the power of 1/6, to the nearest integer? 5 What is 3007 to the power of 1/3, to the nearest integer? 14 What is 122296 to the power of 1/3, to the nearest integer? 50 What is 9665 to the power of 1/3, to the nearest integer? 21 What is the fourth root of 27852 to the nearest integer? 13 What is the fourth root of 123324 to the nearest integer? 19 What is 26749 to the power of 1/3, to the nearest integer? 30 What is the square root of 1062 to the nearest integer? 33 What is the third root of 4246 to the nearest integer? 16 What is 36357 to the power of 1/7, to the nearest integer? 4 What is the tenth root of 7584 to the nearest integer? 2 What is the third root of 23170 to the nearest integer? 29 What is the cube root of 30618 to the nearest integer? 31 What is 9617 to the power of 1/2, to the nearest integer? 98 What is the eighth root of 6940 to the nearest integer? 3 What is the ninth root of 129 to the nearest integer? 2 What is 8190 to the power of 1/2, to the nearest integer? 90 What is 1639 to the power of 1/8, to the nearest integer? 3 What is 3184 to the power of 1/4, to the nearest integer? 8 What is the fourth root of 16159 to the nearest integer? 11 What is 1684 to the power of 1/2, to the nearest integer? 41 What is the third root of 926 to the nearest integer? 10 What is 17051 to the power of 1/10, to the nearest integer? 3 What is 66 to the power of 1/2, to the nearest integer? 8 What is the seventh root of 1333 to the nearest integer? 3 What is 7008 to the power of 1/8, to the nearest integer? 3 What is 73246 to the power of 1/2, to the nearest integer? 271 What is 817 to the power of 1/5, to the nearest integer? 4 What is 50314 to the power of 1/10, to the nearest integer? 3 What is the eighth root of 5453 to the nearest integer? 3 What is the third root of 1898 to the nearest integer? 12 What is 555 to the power of 1/2, to the nearest integer? 24 What is the fifth root of 19340 to the nearest integer? 7 What is the square root of 4557 to the nearest integer? 68 What is the cube root of 92621 to the nearest integer? 45 What is the cube root of 8119 to the nearest integer? 20 What is the third root of 72354 to the nearest integer? 42 What is the fourth root of 2109 to the nearest integer? 7 What is the cube root of 19573 to the nearest integer? 27 What is 1505 to the power of 1/7, to the nearest integer? 3 What is 2037 to the power of 1/2, to the nearest integer? 45 What is the fifth root of 46781 to the nearest integer? 9 What is the tenth root of 71898 to the nearest integer? 3 What is 55494 to the power of 1/2, to the nearest integer? 236 What is the cube root of 622 to the nearest integer? 9 What is the square root of 29502 to the nearest integer? 172 What is the seventh root of 11804 to the nearest integer? 4 What is the cube root of 32830 to the nearest integer? 32 What is the square root of 42533 to the nearest integer? 206 What is the cube root of 8228 to the nearest integer? 20 What is the third root of 6712 to the nearest integer? 19 What is 4405 to the power of 1/10, to the nearest integer? 2 What is the cube root of 2805 to the nearest integer? 14 What is 1759 to the power of 1/9, to the nearest integer? 2 What is the third root of 25619 to the nearest integer? 29 What is the third root of 310 to the nearest integer? 7 What is 1455 to the power of 1/9, to the nearest integer? 2 What is the square root of 502 to the nearest integer? 22 What is 607 to the power of 1/2, to the nearest integer? 25 What is the square root of 10722 to the nearest integer? 104 What is the cube root of 1054 to the nearest integer? 10 What is the eighth root of 3801 to the nearest integer? 3 What is 138952 to the power of 1/2, to the nearest integer? 373 What is 554 to the power of 1/2, to the nearest integer? 24 What is the fourth root of 150376 to the nearest integer? 20 What is the cube root of 89 to the
{ "pile_set_name": "DM Mathematics" }
3 + 7*n**2 - 2*n**2 + 40*n**3. 15*n**3 Collect the terms in 397*z**2 + 392*z**2 + 227*z**2 - 1053*z**2. -37*z**2 Collect the terms in 863*n + 185*n - 248*n + 517*n. 1317*n Collect the terms in 36156*k + 87 + 86 - 173. 36156*k Collect the terms in -1467558*a**3 - 1467557*a**3 + 2935109*a**3. -6*a**3 Collect the terms in -544 - 286*s + 86*s + 546. -200*s + 2 Collect the terms in -249 + 249 - 189*a. -189*a Collect the terms in -931*a**2 + 2690*a**2 - 878*a**2 - 883*a**2. -2*a**2 Collect the terms in 604 + 24*p + 605 - 1209. 24*p Collect the terms in -316*b**3 + 779 + 45*b**3 - 779. -271*b**3 Collect the terms in 146466*a + 146467*a + 146471*a - 439404*a - a**3 + 0*a**3. -a**3 Collect the terms in -63417*l + 63417*l + 5*l**3. 5*l**3 Collect the terms in -935005 + 935005 - 269*h**2. -269*h**2 Collect the terms in 263*v**3 + 257*v**3 - 518*v**3 + 3 + 0. 2*v**3 + 3 Collect the terms in 319*h - 319*h - 9870*h**2. -9870*h**2 Collect the terms in -989*p - 924*p - 1123*p. -3036*p Collect the terms in 3*c**3 - 1 - 22*c - c**3 - 35*c + 13*c. 2*c**3 - 44*c - 1 Collect the terms in -6 - 8 + 9 + 12*t + 3. 12*t - 2 Collect the terms in -877*x**3 + 448*x**3 + 464*x**3. 35*x**3 Collect the terms in 1042*q - 1423*q + 376*q. -5*q Collect the terms in -1800744 + 1800744 + 475*l. 475*l Collect the terms in 1853*a**3 - 309*a**3 - 32588 + 32588. 1544*a**3 Collect the terms in 11*k**2 - 11*k**2 - 5*k**2 - 3*k**2. -8*k**2 Collect the terms in -3*y**2 + 3*y**2 - 29467*y**3 + 29465*y**3. -2*y**3 Collect the terms in 52*q + 79*q - 140*q. -9*q Collect the terms in -52*v**2 - 45*v**2 + 39*v**2. -58*v**2 Collect the terms in 629*x + 19*x**2 - 936*x + 1 - 3 + 307*x. 19*x**2 - 2 Collect the terms in 3*v**2 + 3 - 3 - 220*v - 254*v - v**2. 2*v**2 - 474*v Collect the terms in -244*l**3 - 519*l**3 + 9*l**3 - 218*l**3 + 145*l**3. -827*l**3 Collect the terms in -79*l**3 + 28*l**3 + 67*l**3. 16*l**3 Collect the terms in 2 + 2 + 10*r**2 + 26*r - 19*r**2 - 6. -9*r**2 + 26*r - 2 Collect the terms in 2 + 120*d - 9 + 82*d + 5. 202*d - 2 Collect the terms in -3282*z**2 - 6015*z**2 - 4117*z**2. -13414*z**2 Collect the terms in n - 367872*n**2 + 367872*n**2 - n - 2*n**3. -2*n**3 Collect the terms in -2*l + 880 - 883 + 6*l. 4*l - 3 Collect the terms in 6623*v - 3357*v - 3277*v. -11*v Collect the terms in -316*f**3 + 0*f + 0*f - 990*f**3. -1306*f**3 Collect the terms in 22755*u**3 - 3*u + 2*u - 22757*u**3 + u. -2*u**3 Collect the terms in -72*h + 19*h + 10*h + 40*h. -3*h Collect the terms in -26*v**2 - 2*v**2 + 8*v**3 - 41*v**3. -33*v**3 - 28*v**2 Collect the terms in 87414 - 87414 + 214*s**2. 214*s**2 Collect the terms in -440*w + 196*w - 396*w. -640*w Collect the terms in 0*o**3 - 108*o - o**3 + 3583*o**2 - 3583*o**2. -o**3 - 108*o Collect the terms in -1993*d**2 - 1995*d**2 + 3979*d**2. -9*d**2 Collect the terms in -29443 + 5*g + 29443 - 16*g. -11*g Collect the terms in -33*a + 83*a - 19*a - 14*a - 14*a. 3*a Collect the terms in 76*w + 74*w + 79*w + 75*w - 305*w. -w Collect the terms in 10*t**3 + 47*t**3 - 41*t**3. 16*t**3 Collect the terms in -471*k**2 - 8*k + 3*k + 5*k. -471*k**2 Collect the terms in 38*h**2 + 30*h**2 - 2*h**2. 66*h**2 Collect the terms in 0 - 128*o**3 + 0 - 133*o**3 + 384*o**3 - 127*o**3. -4*o**3 Collect the terms in -124*h + 16*h - 18*h + 30*h. -96*h Collect the terms in -1593*i**3 + 5*i**2 - 3*i**2 - 3389*i**3. -4982*i**3 + 2*i**2 Collect the terms in 1882*l**2 + 3 + 26 - 29. 1882*l**2 Collect the terms in 14369*r + 5*r**3 - 28925*r + 14556*r. 5*r**3 Collect the terms in 4867 - x - 9781 + 4914. -x Collect the terms in 661*h**3 - 656*h**3 + 58 + 2*h**2 - 2*h**2. 5*h**3 + 58 Collect the terms in 534*p**3 - 1046*p**3 + 517*p**3. 5*p**3 Collect the terms in 332*i - 64*i + 82*i. 350*i Collect the terms in 45*u + 28*u**2 + 40*u - 131*u + 46*u. 28*u**2 Collect the terms in 5044*h**3 + 14 - 5 - 16. 5044*h**3 - 7 Collect the terms in 903*u + 281*u - 1465*u + 281*u + u**3. u**3 Collect the terms in 45 + 60*s**2 - 13*s**2 - 12*s**2 - 15*s**2 - 16*s**2. 4*s**2 + 45 Collect the terms in -39*p - 14*p + 7*p + 7*p - 14*p. -53*p Collect the terms in 317*i**3 - 72*i + 143*i - 71*i. 317*i**3 Collect the terms in -64*h**3 - 70*h**3 + 291*h**3 - 82*h**3 - 70*h**3. 5*h**3 Collect the terms in -293*n + 146*n + 125*n + 99*n. 77*n Collect the terms in -165888*z - 15133*z - 195988*z. -377009*z Collect the terms in 4 - 20*z - 4 + 13 - 13. -20*z Collect the terms in -r**3 - 336*r + 100 + 668*r - 38 - 332*r. -r**3 + 62 Collect the terms in -2*b + 145354 - 145354. -2*b Collect the terms in 1482*p**3 + 2*p - 3*p + p. 1482*p**3 Collect the terms in 1048*k + 430*k - 2 + 2. 1478*k Collect the terms in -219 - 61 + s - 102 + 70 - 247. s - 559 Collect the terms in -16 + 34 - 275*f**2 - 272*f**2 - 18. -547*f**2 Collect the terms in -346*w + 654*w - 316*w. -8*w Collect the terms in -25 + 71 - 55*g**2 - 46. -55*g**2 Collect the terms in 9*c**3 + 3 - 7740643*c - 3 + 7740643*c. 9*c**3 Collect the terms in -4*p**3 - 14*p**3 + 7*p**3 - 6*p**3. -17*p**3 Collect the terms in -61*a**2 - 54*a - 55*a**2 - 55*a**2 + 170*a**2. -a**2 - 54*a Collect the terms in -101019*v + 100995*v - 8*v**2 + 5*v**2. -3*v**2 - 24*v Collect the terms in 73 - 345*h**2 - 73 + 2*h**3. 2*h**3 - 345*h**2 Collect the terms in 18*a**2 - 65*a + 63*a + 63*a**2. 81*a**2 - 2*a Collect the terms in -2*q + 1 + 0*q - 1. -2*q Collect the terms in -30*i + 194197 - 194197 - 13*i. -43*i Collect the terms in 22*o + 29*o - 97*o + 27*o + 18*o. -o Collect the terms in -2707*b - 2711*b + 8132*b - 2708*b. 6*b Collect the terms in -149 - 82 + 56 + 2*w. 2*w - 175 Collect the terms in -15*n + 22*n - 7*n**2 - 7*n + 3*n**2. -4*n**2 Collect the terms in 4 - 133*g**3 + 19*g**3 - 4. -114*g**3 Collect the terms in -3258*c + 1001*c**2 + 3258*c. 1001*c**2 Collect the terms in 39714*z**2 - 3*z - 3619*z**2 + 3*z. 36095*z**2 Collect the terms in 1373*i - 469*i - 454*i - 449*i. i Collect the terms in 9033*f**2 - 3695*f**2 + 6331*f**2. 11669*f**2 Collect the terms in -3*z**2 - 80209411676 + 80209411676 + 5*z**2 - z**3 - 2*z**2. -z**3 Collect the terms in 425 - 94 + 20*t + 223. 20*t + 554 Collect the terms in 3372*m - m**2 - 10 + 13 - 11020*m. -m**2 - 7648*m + 3 Collect the terms in 3*g**2 + 0*g**2 + 2*g - 8*g**2 - 9*g**2 - 4*g**2. -18*g**2 + 2*g Collect the terms in 2600*l**3 - 5414*l**3 + 3195*l**3. 381*l**3 Collect the terms in 5 + 7*d**2 + 2 - 3 + 193*d. 7*d**2 + 193*d + 4 Collect the terms in 35330*x**2 + 7*x**3 + 5*x**3 - 35330*x**2. 12*x**3 Collect the terms in 6096*p**2 + 17 - 42 - 6107*p**2 + 25. -11*p**2 Collect the terms in -30*n + 518*n + 758*n. 1246*n Collect the terms in 285*j**3 - 381*j**3 + 98*j**3. 2*j**3 Collect the terms in 183723 + 4*v + 36*v**3 - 183723 - 4*v. 36*v**3 Collect the terms in 1 - 4596*i**3 - 2 - 6059*i**3 - 3474*i**3. -14129*i**3 - 1 Collect the terms in 754*m - 186*m - 182*m - 185*m - 194*m. 7*m Collect the terms in 13 - 15*b - 7 - 3 - 3. -15*b Collect the terms in -5*l + l + 3*l**2 - 4*l**2 - 4121 + 5*l. -l**2 + l - 4121 Collect the terms in 5*l - 91*l + 100*l. 14*l Collect the terms in -39*h**3 - 104*h**3 - 97*h**3 + 204*h**3 - 51*h**3. -87*h**3 Collect the terms in 5 + 4 - 1592*u**2 + 1594*u**2 + 2 - 11. 2*u**2 Collect the terms in 32*n**2 + 1295*n**2 + 408*n**2 + 2*n**2. 1737*n**2 Collect the terms in -77*n**3 - 79*n**3 + 12*n**3 + 37*n**3 - 23*n**3. -130*n**3 Collect the terms in -3*z + 10482762 - z - 10482762 + 2*z. -2*z Collect the terms in -362*b**3 - 221*b**3 + 159*b**3 - 326*b**3. -750*b**3 Collect the terms in 11*v**2 - 56007 - 3*v**2 + 56007 + 3*v**2 + 4*v**3. 4*v**3 + 11*v**2 Collect the terms in -14 + 5*u - 32 + 79. 5*u + 33 Collect the terms in -6162*n**2 - 4233*n**2 + 1707*n**2. -8688*n**2 Collect the terms in -131*q**3 + 253*q**3 - 271378*q + 271378*q - 124*q**3. -2*q**3 Collect the terms in -2763*j + 927*j + 933*j + 924*j. 21*j Collect the terms in 3*z**2 + z**2 + z + 230*z**3 + 3*z**2. 230*z**3 + 7*z**2 + z Collect the terms in 287*w**2 - 203*w**2 - 142*w**2. -58*w**2 Collect the terms in -35*u**2 + 15788 - 7898 - 7890. -35*u**2 Collect the terms in 1682 - 527 - 2*m - 579 - 576. -2*m Collect the terms in 2007 + 1999 + 18*j**3 + 2001 + 2006 - 8013. 18*j**3 Collect the terms in 11*z**2 - 12*z**2 + 85 - 23*z**3 - 34 - 51. -
{ "pile_set_name": "DM Mathematics" }
the second derivative of q(z). Determine y(f(t)). -52*t**4 Let r(n) = -n**2 - n. Let v(l) = 20*l**2 + 10*l. Let k(m) = -10*r(m) - v(m). Let h(p) = 14*p + 1. Give h(k(y)). -140*y**2 + 1 Let x(n) = -133*n**2 + 1. Let g(h) = 50*h. What is g(x(t))? -6650*t**2 + 50 Let w = -527 - -531. Let v(g) be the second derivative of 0*g**2 + 0 + 0*g**3 + 1/6*g**w - 6*g. Let h(c) = -c. Calculate v(h(m)). 2*m**2 Let s(i) = -17101*i**2. Let k(l) = -6*l. Give s(k(p)). -615636*p**2 Let j(x) = 53697*x. Let k(n) = -n. Determine j(k(p)). -53697*p Let r(g) be the second derivative of -g**4/2 + g - 21. Let b(a) = -4*a + 5*a - 5*a. What is b(r(q))? 24*q**2 Let r(n) = 78*n - 12*n - 56*n - 2*n - 5*n. Let w(t) = 4 - 6*t - 4. Calculate w(r(c)). -18*c Let h(n) = 2*n - n**2 - 2*n - n. Let r(i) = 11*i**2 + 6*i. Let f(k) = -k + 13. Let w be f(7). Let p(v) = w*h(v) + r(v). Let s(t) = 2*t. What is s(p(a))? 10*a**2 Let d(r) = 179*r. Let b(q) = -341*q. What is b(d(c))? -61039*c Let x(t) = 2*t. Let z(k) = k - 49067. Determine x(z(r)). 2*r - 98134 Let n(a) = -2*a**2 + 13. Let o(d) = -48382*d. Calculate o(n(z)). 96764*z**2 - 628966 Let t(f) = -6*f + 5*f - 17*f - 4*f. Let i(v) = -79*v + 46*v + 35*v. What is i(t(p))? -44*p Let f(k) = 39*k**2 - 34*k**2 - 24*k**2 - 7*k**2 - 8*k**2 - 5. Let r(x) = -2*x**2. What is f(r(u))? -136*u**4 - 5 Let a(x) = -12*x**2. Let i(f) = 4*f - 3 - 2 - 1 - 6*f. Let t be i(-4). Let u(o) = 0*o**2 + o**t + o**2. Determine a(u(y)). -48*y**4 Suppose -4*r = -8*r. Let t(y) = 2*y + r*y + 0*y. Let v(n) = -2*n + 4*n - 6*n - 2*n. What is t(v(s))? -12*s Let l(y) be the second derivative of 15*y**4/2 - y**3/3 + 289*y. Let b(o) = -o**2. Give b(l(w)). -8100*w**4 + 360*w**3 - 4*w**2 Let b(m) = m**2 - 1. Let t be b(3). Let x(q) = -14*q**2 - t + 16 - 8. Let y(p) be the second derivative of p**4/6 + 2*p. Give y(x(d)). 392*d**4 Let u(o) = 3*o + 5. Let b(d) = d + 2. Let c(p) = -2*p + 1. Let z be c(3). Let i(q) = z*b(q) + 2*u(q). Let x(v) = -17*v. What is x(i(r))? -17*r Let v(u) = -2*u**2. Let a(i) = -1548227*i**2. Calculate a(v(g)). -6192908*g**4 Suppose -8*r + 7*r = 0. Suppose -5*a - 4 = 16, -y - 2*a + 23 = r. Let g(v) = 3*v + 31 - y. Let l(k) = -4*k**2. Calculate g(l(b)). -12*b**2 Let n(m) = -m**2. Let x be -4 + 6 - 1/((-2)/450). Let o(k) = x*k - 227*k + 2*k**2. Give o(n(r)). 2*r**4 Let z(i) = 367*i. Let t(l) = -2*l + 2. Let h(p) = -9*p + 10. Let n(m) = 2*h(m) - 10*t(m). What is z(n(s))? 734*s Let o(d) = -d - 50. Let t(m) = -8*m + 5*m - 4*m + 6*m. Determine t(o(l)). l + 50 Let h(t) = -52374 + 23*t - 83*t + 52374. Let l(k) = 2*k. Calculate l(h(b)). -120*b Let p(f) = 5*f**2. Let z(d) = 10*d**2. Let n(o) = -5*p(o) + 3*z(o). Let g = 29 + -27. Let s(v) = -g*v**2 + 0 + v**2 + 0. Calculate n(s(a)). 5*a**4 Let l(o) be the second derivative of -o**4/12 - o. Let k(z) = 704 - 1401 - 5*z**2 + 697. What is k(l(u))? -5*u**4 Let p(q) = 42*q**2. Let l(o) = -5*o + 4. Let y(t) = 27*t - 22. Let k(g) = 11*l(g) + 2*y(g). Give p(k(x)). 42*x**2 Let d(y) = -y - 249254. Let c(x) = 2*x. Give c(d(j)). -2*j - 498508 Let g(y) = -306*y**2 - 1. Let f(u) = -9*u. Give f(g(r)). 2754*r**2 + 9 Let w(n) be the first derivative of -n**3 - 300. Let m(f) = -5*f**2. Give m(w(h)). -45*h**4 Let r(c) = 63753*c. Let x(l) = -11*l + 3. Give r(x(z)). -701283*z + 191259 Let m(f) = 14*f - 30. Let y(k) = 60*k - 130. Let a(l) = -26*m(l) + 6*y(l). Let x(r) = 1 - 1 - 2*r. What is x(a(d))? 8*d Let r(w) = -1589050*w. Let t(a) = -a**2. Calculate t(r(n)). -2525079902500*n**2 Let q(b) = 3*b. Suppose a - 1 = l, -5*l - 6 + 4 = -2*a. Let m(o) = -2*o + 2*o + 8*o + l*o. Give q(m(z)). 24*z Let m(z) = 12*z - 2. Let b(c) = 2 + 6 - c - 2*c - 8. Give b(m(g)). -36*g + 6 Let z(m) = -446491*m**2. Let o(i) = -i**2. Determine z(o(w)). -446491*w**4 Let u(t) = 833*t. Let m(n) = -10*n**2. Determine m(u(d)). -6938890*d**2 Let w(u) = 28*u**2 - 13*u**2 - 7*u**2 - 7*u**2. Let b(h) = 3*h**2 - 3*h. What is b(w(o))? 3*o**4 - 3*o**2 Let f(k) = 83*k**2. Let q(o) = 11320*o**2. What is f(q(w))? 10635819200*w**4 Let q(u) = -8*u**2. Let r = 21 - 10. Let n(s) = -r - 2*s + 11. Determine q(n(k)). -32*k**2 Let f(a) = -21*a**2. Let c(z) = -5850*z. What is f(c(q))? -718672500*q**2 Let z(y) = -4*y. Let a(t) = -5592*t + 1. Determine a(z(j)). 22368*j + 1 Let u(l) = -9*l. Let g(q) = 4*q. Let x(w) = -13*g(w) - 6*u(w). Let r(k) be the first derivative of 4/3*k**3 + 0*k**2 + 0*k + 3. Give r(x(p)). 16*p**2 Let j(z) = z**2 + 0*z**2 - 5*z**2. Let q(t) be the second derivative of t**4/12 - 26*t + 2. Calculate j(q(o)). -4*o**4 Let y(s) = -60*s. Let h(z) = -12*z**2 - 351. Give y(h(r)). 720*r**2 + 21060 Let j(u) = -5*u**2. Let g(k) be the third derivative of 4*k**5/15 + 167*k**2. What is j(g(x))? -1280*x**4 Let v(h) = h - 4*h + 7*h. Let m be -1 - (-1 - 8/((-8)/(-2))). Let c(q) = 2 + 3*q**2 - m. Determine v(c(x)). 12*x**2 Let w(k) be the third derivative of -k**4/12 - 89*k**3/6 + 67*k**2. Let l(o) = o**2. Calculate l(w(m)). 4*m**2 + 356*m + 7921 Let b(j) = -200*j - 8. Let v(d) = -2. Let a(t) = -b(t) + 4*v(t). Let u(k) = -3*k**2. Calculate a(u(c)). -600*c**2 Let p(k) = -3*k. Let n(h) = 2. Let a(s) = -12*s - 12. Let c(o) = -a(o) - 6*n(o). Give p(c(f)). -36*f Let r(g) = 178*g**2. Let u(f) be the third derivative of -f**5/30 + 96*f**2 - 1. Determine u(r(o)). -63368*o**4 Let y(l) = l**2. Let g be (-1 + -11)*(-14)/42. Let t(j) = 13*j**2 + 4*j - 4. Let o(q) = 468*q**2 + 143*q - 143. Let u(k) = g*o(k) - 143*t(k). Give u(y(d)). 13*d**4 Let a(y) = -3*y**2. Let v = 99 + -114. Let w(j) = 13*j**2 - 4. Let o(x) = 51*x**2 - 15. Let u(p) = v*w(p) + 4*o(p). Calculate u(a(z)). 81*z**4 Let s(y) = -13744*y. Let q(b) = 5*b. What is s(q(n))? -68720*n Let t(o) = 247*o**2 + 391*o. Let u(d) = -2*d. What is u(t(m))? -494*m**2 - 782*m Let w(f) = 5*f**2. Let k(p) be the third derivative of -p**5/12 + p**3 + 10*p**2. Let d(y) = 6*y**2 - 7. Let g(a) = 6*d(a) + 7*k(a). What is w(g(x))? 5*x**4 Let y(i) = -2*i**2 - 32*i - 1. Let s(g) = -13*g. Determine s(y(q)). 26*q**2 + 416*q + 13 Let x(v) be the first derivative of -30*v**3 - 11*v**2/2 + 22. Let p(c) = 18*c**2 + 2*c. Let r(a) = 11*p(a) + 2*x(a). Let y(l) = 3*l**2. What is y(r(n))? 972*n**4 Let d(u) = 116*u - 9. Let c(i) = -13*i + 1. Let h(s) = -18*c(s) - 2*d(s). Let w(o) be the first derivative of -21*o**2/2 - 1. Give w(h(v)). -42*v Let m(r) = 2*r + 0*r - 4*r. Let a = -38 + 43. Let w(c) = -a*c**2 + 9*c**2 - c**2 + 11*c**2. Calculate m(w(x)). -28*x**2 Let n(a) = -4*a. Let o(b) be the first derivative of 0*b + 13 - 5/2*b**2. Give o(n(v)). 20*v Let g(x) = -x + 825 - 825. Let w(h) = 2*h - 10. Let c be w(8). Let t(l) = -5 + c - l - 1. What is t(g(n))? n Let z(i) = -19235*i**2 + 2. Let g(u) = -75*u. Give g(z(r)). 1442625*r**2 - 150 Let b(v) = -4*v + 5*v + 0*v. Let y(l) be the third derivative of -7*l**5/12 - 599*l**2 + 1. Determine b(y(i)). -35*i**2 Let y(c) = 5*c**2. Let b be 3 + (55/10 - 4) + -4. Let d(l) be the first derivative of b*l**2 + 3 + 0*l. Determine d(y(j)). 5*j**2 Let y be ((-4)/9)/((-12)/(-72)) + 3. Let j(s) be the second derivative of -y*s**3 - 7*s + 0 + 0*s**2. Let x(l) = -10*l. Give x(j(k)). 20*k Let j(b) = -82*b - 391. Let n(q) = -6*q**2. Calculate j(n(l)). 492*l**2 - 391 Let g(q) = 33*q**2 + 4*q + 4. Let z(x) = -98*x**2 - 11*x - 11. Let l(h) = 11*g(h) + 4*z(h). Let f(d) = -99*d + 28*d + 42*d + 31*d. Calculate f(l(a)). -58*a**2 Let j(i) = -44*i**2. Let k(u) be the first derivative of -2*u**3/3 - 74. What is k(j(y))? -3872*y**4 Let z(o) = -7*o. Let c(f) = -2*f**2 - 17*f - 6. Let t be c(-8). Let a(k) = -5*k**2 - 3*k**2 + 3*k**2 + 6*k**t. Determine z(a(l)). -7*l**2 Let c(n) = -34*n**2 - 2. Let p(x) = -2*x - 6. Let w(u) = 4*u + 9. Let j(y) = 3*p(y) + 2*w(y). Determine c(j(k)). -136*k**2 - 2 Let d(b) = 49*b. Let j(i) be the third derivative of i**5/12 - 238*i**2. Determine j(d(q)). 12005*q**2 Let v(h) = 17*h**2. Let r be (-4)/(-8) + (-4)/8. Let i(b) = -b + r*b + 3*b. Give v(i(x)). 68*x**2 Let m(s) = 559*s**2 - 289*s**2 - 280*s**2. Let a(b) = 19*b**2. Determine a(m(k)). 1900*k**4 Let y(o) = -o + 4. Let d(s) = 2*s - 10. Let c(b) = -2*d(b) - 5*y(b). Let n(j) be the first derivative of 0*j + 3/2*j**2 + 1. Calculate n(c(f)). 3*f Let k(c) = -c. Let g(d) be the second derivative of 3*d**5/40 + 5*d**3/2 + 10*d. Let x(o) be the second derivative of g(o). Calculate
{ "pile_set_name": "DM Mathematics" }
ween 2:16 AM and 4:28 AM? 132 What is 128 minutes before 1:31 PM? 11:23 AM What is 194 minutes before 4:44 AM? 1:30 AM How many minutes are there between 5:24 AM and 5:06 PM? 702 How many minutes are there between 4:08 PM and 6:41 PM? 153 What is 582 minutes before 9:38 AM? 11:56 PM What is 88 minutes before 3:24 AM? 1:56 AM How many minutes are there between 4:28 PM and 5:50 PM? 82 How many minutes are there between 11:29 AM and 4:18 PM? 289 How many minutes are there between 10:48 AM and 6:22 PM? 454 What is 195 minutes before 2:51 PM? 11:36 AM How many minutes are there between 7:44 PM and 9:44 PM? 120 What is 559 minutes before 9:46 AM? 12:27 AM What is 63 minutes before 10:48 PM? 9:45 PM What is 591 minutes before 11:28 PM? 1:37 PM How many minutes are there between 9:11 AM and 2:42 PM? 331 How many minutes are there between 8:13 AM and 7:10 PM? 657 How many minutes are there between 2:14 AM and 5:25 AM? 191 What is 159 minutes before 7:33 AM? 4:54 AM How many minutes are there between 2:54 PM and 4:57 PM? 123 How many minutes are there between 7:11 AM and 5:16 PM? 605 What is 202 minutes before 5:10 PM? 1:48 PM How many minutes are there between 3:46 AM and 10:11 AM? 385 How many minutes are there between 3:18 AM and 1:07 PM? 589 How many minutes are there between 8:46 AM and 2:57 PM? 371 How many minutes are there between 10:26 AM and 3:54 PM? 328 How many minutes are there between 7:18 PM and 1:12 AM? 354 How many minutes are there between 11:08 AM and 7:01 PM? 473 What is 246 minutes after 1:12 PM? 5:18 PM How many minutes are there between 11:32 PM and 7:55 AM? 503 What is 690 minutes before 12:17 PM? 12:47 AM What is 585 minutes after 8:56 AM? 6:41 PM What is 249 minutes after 10:27 PM? 2:36 AM What is 274 minutes after 5:49 AM? 10:23 AM What is 60 minutes after 6:45 AM? 7:45 AM How many minutes are there between 1:01 PM and 5:53 PM? 292 What is 236 minutes before 10:02 PM? 6:06 PM How many minutes are there between 7:24 AM and 9:57 AM? 153 What is 76 minutes after 12:41 AM? 1:57 AM What is 644 minutes after 8:21 AM? 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211 What is 270 minutes before 10:56 AM? 6:26 AM What is 528 minutes before 8:03 AM? 11:15 PM What is 446 minutes after 12:30 AM? 7:56 AM How many minutes are there between 5:36 PM and 8:58 PM? 202 What is 181 minutes before 10:56 PM? 7:55 PM How many minutes are there between 6:19 PM and 8:48 PM? 149 What is 669 minutes before 11:36 AM? 12:27 AM How many minutes are there between 7:29 PM and 8:09 PM? 40 What is 309 minutes before 9:38 AM? 4:29 AM What is 305 minutes after 11:58 AM? 5:03 PM How many minutes are there between 3:51 AM and 6:03 AM? 132 What is 457 minutes after 10:00 AM? 5:37 PM How many minutes are there between 11:26 AM and 4:41 PM? 315 What is 644 minutes after 10:03 AM? 8:47 PM How many minutes are there between 8:33 AM and 6:50 PM? 617 What is 583 minutes after 4:17 AM? 2:00 PM What is 173 minutes after 12:06 PM? 2:59 PM How many minutes are there between 3:11 PM and 12:14 AM? 543 How many minutes are there between 1:28 PM and 3:28 PM? 120 What is 251 minutes after 2:12 PM? 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646 What is 243 minutes after 6:18 PM? 10:21 PM What is 398 minutes before 2:25 AM? 7:47 PM How many minutes are there between 6:10 AM and 3:53 PM? 583 How many minutes are there between 1:11 PM and 5:02 PM? 231 How many minutes are there between 8:45 PM and 1:41 AM? 296 What is 462 minutes before 10:25 AM? 2:43 AM How many minutes are there between 12:02 PM and 1:33 PM? 91 What is 611 minutes after 9:57 PM? 8:08 AM What is 92 minutes after 10:37 AM? 12:09 PM How many minutes are there between 10:32 PM and 5:18 AM? 406 How many minutes are there between 4:28 AM and 12:36 PM? 488 What is 647 minutes after 4:41 AM? 3:28 PM What is 14 minutes before 1:47 AM? 1:33 AM How many minutes are there between 1:01 AM and 1:54 AM? 53 How many minutes are there between 10:37 AM and 6:47 PM? 490 What is 501 minutes after 1:18 AM? 9:39 AM How many minutes are there between 8:01 AM and 6:58 PM? 657 What is 130 minutes after 1:37 AM? 3:47 AM How many minutes are there between 10:57 PM and 11:48 PM? 51 How many minutes are there betwe
{ "pile_set_name": "DM Mathematics" }
True Is 185006/(12 + -5 + -5) a composite number? False Let o(f) = 2609*f - 7350. Is o(53) prime? True Suppose -3*x + 3*x - 1635824 = -16*x. Is x prime? False Let f(p) = 19*p**2 + 39*p - 9. Let b be f(-28). Suppose 4*j - b = -3263. Is j a prime number? True Let r(j) = -j**3 - 2*j**2 - j - 51. Let q be r(0). Is (53476/6)/((-34)/q) composite? True Let n be 816/168 + (-1)/(-7). Suppose 6*w + 2*u - 3280 = 4*w, 2*u + 8221 = n*w. Is w a prime number? False Let h = -4253009 + 6026718. Is h prime? False Suppose 4*g + 395862 = 2*o, 1543*o + 593865 = 1546*o + 3*g. Is o prime? True Suppose -1133995 = -267*b + 262*b. Is b prime? True Let l(u) = 10661*u**2 + 292*u + 1877. Is l(-6) a prime number? False Let m(c) = -3*c**2 - 24*c - 59. Let g(o) = -2*o**2 - 12*o - 29. Let y(s) = 5*g(s) - 3*m(s). Let j be y(14). Is 4 - -1749 - 2/j*-2 a prime number? False Let u(f) = -214552*f - 1433. Is u(-1) a composite number? False Let u(h) = -16*h**2 - 13*h - 1. Let m be u(-1). Is (21609/m)/(-3) - (-94)/376 a composite number? False Suppose -36 = -20*m + 84. Is m/14 + -7 + 14178/42 a composite number? False Let x be (-4)/(-1 + (-3624)/(-3622)). Let k be 5/(-20) + 114/8. Is 15/(-35) - x/k a prime number? False Let v = 342 - 341. Is 1 + v + 2042 + 9 a prime number? True Is (-1074532)/(-10) + ((-344)/20 - -17) prime? True Let j(t) = t**3 + 140*t**2 - 19*t + 233. Is j(-93) a composite number? True Suppose -5*b + 866455 = -8*r + 10*r, 0 = -2*r. Is b a composite number? False Let p(n) = -n + 1. Let b(w) = 1260*w + 67. Let v(t) = -b(t) - 4*p(t). Is v(-5) composite? True Suppose 5*f - 6443 = -2*z, 344 = 3*f + z - 3521. Let w = f - 4. Is w composite? False Let m = 41477 - 918. Is m a prime number? True Suppose 0 = 34*n - 41*n + 49. Suppose 0 = 6*i - n*i + 4*m + 1961, -5*i + 9742 = m. Is i composite? False Suppose 15*u - 28 = 13*u. Let f = u + -12. Let j(q) = 81*q**2 - 3*q - 1. Is j(f) a prime number? True Suppose -3*s - 4*s + 3157 = 0. Let q be 1*s + 4/(-2). Suppose 2*l + 4*t - 230 = 0, -4*l + 3*t + q = -0*l. Is l composite? False Suppose 5*y + 5*j = 9715, -2*y + 5*j + 3531 = -376. Suppose 5*x - y = -9*x. Is x a composite number? False Let n(k) = -k**2 - 20*k + 22. Let u be n(-17). Suppose -u*z + 68*z + 1577800 = 0. Is z/69 - (-1 + 4/3) composite? True Suppose 0 = 6*j + 4*j - 25260. Let q be 1/(0 + (-2)/(j/3)). Let l = 720 + q. Is l a prime number? False Suppose -6*r + 2450 + 424 = 0. Let l = r + -230. Is l a composite number? True Suppose 2*q - 3*s - 700370 = 0, -4*s + 350207 = 4*q - 3*q. Is q a composite number? False Suppose 9 = 3*z + 15. Let a be (-3)/(-3) + 2/4*z. Suppose a*o - 4*o + 2304 = 4*l, -2*l = -3*o + 1713. Is o composite? True Suppose -69 - 50 = -5*s - 4*w, 0 = s - 5*w - 47. Suppose s*u - 533523 = 90636. Is u composite? False Let f(v) = v. Let m(x) be the first derivative of -45*x**2/2 + 14*x + 1. Let g(c) = 6*f(c) + m(c). Is g(-5) a prime number? False Let l = 456389 - 32892. Is l composite? False Suppose -4*u = 29*m - 2906942, 0*m - 726785 = -u + m. Is u a composite number? False Suppose 0 = 4*c + 2*f - 0*f + 30, 5*c + 3*f = -38. Is (-65357)/c + 4 + 182/(-49) a composite number? False Let c(q) = 9176*q - 87. Is c(34) a prime number? True Suppose 3*a = -0*y + 3*y + 6, 5*y + 7 = 4*a. Suppose -l = a*r - 4657, -3*l + 13997 = -8*r + 4*r. Is l a composite number? False Let m(g) = 8*g**2 + 4 + 0*g**2 - 3*g - 12*g + 2*g - 4*g. Is m(9) a prime number? True Is (-1484)/21*(16405/(-20) - -5) prime? False Let a(z) = 193218*z**2 + 38*z - 39. Is a(1) prime? False Let n be (-10)/(-25) - 8/(-5). Let d(b) = 11065*b**3 + 2*b**2 - 4*b + 1. Let v be d(n). Is ((-1)/3)/(-4 - v/(-22131)) prime? True Suppose -4*y + 9 = 3*t - 3, -4 = -y - t. Suppose y = x + 5*w - 4126, -4*w = -x + w + 4096. Is x prime? True Suppose z = 22 - 1. Suppose 22*l - z*l = 859. Suppose -6*j + 1163 + l = 0. Is j a composite number? False Suppose -2*o = -0*v - v - 2, o - 5*v - 19 = 0. Let y be (o - -3)/(-4 - 345/(-85)). Suppose -33*z = -y*z + 419. Is z a prime number? True Let n = -13 + 17. Let s be 690/80 - (-3)/8. Suppose -n*h = -s*h + 2705. Is h a composite number? False Let s = -51 + 53. Suppose -4*r = s*j - 6366, 0 = -j - 3*j + 20. Is r a composite number? True Is (-32343787)/(-145) - (1/(-8) + (-209)/760) prime? True Suppose 65121 = -3*p + 4*o + 176104, 3*o = -3*p + 111018. Is p prime? False Suppose -19*o + 225841 = 3*k - 18*o, -3*k = 4*o - 225835. Is k a prime number? False Suppose 778122 + 2149426 = 52*d. Is d a prime number? True Suppose 11*y - 1 = 21. Suppose 8*t - y*t = -t. Suppose t = 4*a - 9*a + 6830. Is a prime? False Is 36/6 + (-1212695)/(-11) prime? True Suppose -5015619 = -5*u + 3*x + 4299850, 4*x = -32. Is u a prime number? True Let p be 1 + -1 + (17 - 15). Let g be (1314/(-4))/(1*(-3)/48). Suppose -5*z + 2648 = -3*l + 4*l, -2*z = p*l - g. Is l a prime number? False Let y(t) be the first derivative of -19 - 78*t**2 + 5*t + 26*t + 81*t**2. Is y(11) composite? False Let w = -10618 - -13227. Is w a composite number? False Suppose -30*p + 37049 + 58301 = 14140. Is p prime? True Let n be (2 - -1)/((-2)/(-2)). Suppose -n = -5*o + 22. Suppose c - o*u - 79 = -0*u, 316 = 4*c + u. Is c prime? True Let x(m) = m**2 - 32*m + 118. Let w be x(28). Suppose w*n - 18*n = -10092. Is n a composite number? True Suppose 0*g = 5*g + 5*w - 244295, 2*g + w = 97721. Suppose 8*a + g = 19*a. Is a prime? False Is (0 - (-1924293)/39) + (-88)/(-572) prime? False Suppose 37*d + 5*v - 64035 = 32*d, 5*v - 51226 = -4*d. Is d a prime number? True Let i be (-1 + 2)*4/4. Is 1*i*4/12*3261 a prime number? True Let q(c) = -27*c - 5505. Let z(s) = -57*s - 11011. Let h(p) = -9*q(p) + 4*z(p). Is h(0) a prime number? True Suppose 5*z - 5*d = -15, 0 = 7*z - 5*z + 3*d - 14. Is (2/(-4))/(6174/(-6172) + z) a composite number? False Let z be 18186/15 + 12/(-30). Suppose 0 = -3*h - 3*d + z, 6*d + 403 = h + 8*d. Let w = 1240 - h. Is w a composite number? True Let a(l) = -190*l - 26. Suppose -18 = 2*q - 4*t + 26, 2*q + 5*t = 1. Let x be a(q). Suppose 1848 + x = 14*y. Is y composite? False Suppose 0 = 51*d + 154*d - 1735325. Is d composite? True Let f(a) = 2*a**2 + 2*a + 7. Let n(i) = -3*i**2 - i - 13. Let y(p) = 9*f(p) + 4*n(p). Let v(z) = -4*z**2 - 2*z + 1. Let x be v(-2). Is y(x) a prime number? False Suppose 0 = -3*r + z + 11, 3*z = -4*r - z + 20. Suppose -o - 4770 = r*o. Let j = 4307 + o. Is j a prime number? False Suppose -18696*r - 5281400 = -18736*r. Is r a composite number? True Let t(d) = 262*d + 6. Let k(c) = -261*c - 5. Let y(r) = 5*k(r) + 4*t(r). Let b be y(6). Is 6/(-18) - b/3 prime? False Let o = -54 + 51. Is 411/(5/((-15)/o)) composite? True Suppose 5*w + 3*z = 127024, 0 = 37*w - 39*w - 2*z + 50804. Is w prime? True Suppose 0 = 13*x + 2 - 2. Let c be 13 + ((-25)/5 - x). Suppose c*v = 3*v - p + 6301, -2*v + 2542 = -5*p. Is v a composite number? True Let v be (-5 + -11 + 10)/(2/17151). Let z = -22214 - v. Is z composite? True Let b(u) = 201*u - 78. Let a be b(-8). Let o = a - -5168. Is o composite? True Suppose -22 = -5*c - 2. Suppose -59505 = -11*a - c*a. Is a prime? True Let p(t) be the third derivative of t**4/24 + 631*t**3/6 - 2*t**2. Suppose -4*w - 20 = -4*s + 8*s, -2*s - 25 = 5*w. Is p(s) composite? False Let b = 734514 - 1491684. Is b/(-240) - (-1)/8 prime? False Let d(c) = 22*c - 9*c**3 - 31*c - 68 + 17*c - 8*c**2. Is d(-15) a composite number? False Let y be -2 + 2 + -2 + 8. Let b(p) = -2*p**2 - 1. Let g(d) = 2*d**3 + 12*d**2 - 4*d + 4. Let u(k) = 5*b(k) + g(k). Is u(y) a prime number? True Let y(r) = 21318*r + 301. Is y(26) a prime number? True Let d(r) = 4*r + 29. Let b be 1*-11 + 0/(8 + -3). Let m be d(b). Is -59*5/m*33 composite? True Let d(o) = -2 - 1 + 3 + 35*o**3 - 1 + 2*o. Let m be d(1). Is 2/(-8) - (-18549)/m a prime number? False Let k(n) = 1507*n**3 + 21*n**2 + n - 76. Is k(7) a prime number? True Suppose 3*w - 27555 = 5*q, 11*w = 13*w - q - 18370. Suppose 0 = 3*z - 4*p - 2368 - 3143, 5*z - 3*p - w = 0. Is z a prime number? False Suppose -4*u + 3*u + 23831 = 0. Let s = u - 4962. Is s a composite number? False Let w = -120 + 123. Suppose -4*h = -j - 4071, 0*h = w*h - 4*j - 3037. Is h composite? False Let n(k) = 2*k**3 + 28*k**2 + 16*k - 5. Let c(g) = -4*g**2 - 90*g - 31. Let b be c(-22). Is n(b) a prime number? Fals
{ "pile_set_name": "DM Mathematics" }
he tens digit of 1796091? 9 What is the ten thousands digit of 1584565? 8 What is the tens digit of 42780? 8 What is the hundreds digit of 103868? 8 What is the ten millions digit of 25119452? 2 What is the ten thousands digit of 606340? 0 What is the millions digit of 3787211? 3 What is the hundred thousands digit of 19084317? 0 What is the hundreds digit of 9147151? 1 What is the millions digit of 5622839? 5 What is the ten thousands digit of 125062? 2 What is the tens digit of 370477? 7 What is the ten thousands digit of 3072399? 7 What is the units digit of 23196247? 7 What is the thousands digit of 165054? 5 What is the thousands digit of 1232539? 2 What is the millions digit of 1688883? 1 What is the millions digit of 6636984? 6 What is the units digit of 202868? 8 What is the tens digit of 1165351? 5 What is the ten thousands digit of 2289320? 8 What is the hundred thousands digit of 2812284? 8 What is the tens digit of 106280? 8 What is the hundred thousands digit of 306881? 3 What is the thousands digit of 22198? 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{ "pile_set_name": "DM Mathematics" }
t u = 9 - v. Calculate the least common multiple of 10 and 4/18 + (-106)/u. 60 Let d be ((-120282)/18)/(-6173 - -1). Let x = d - -1/1543. Find the common denominator of x and 107/22. 132 Let p be (-151514)/(-24) - 2/1. Let g(z) = -6304*z - 1. Let r be g(1). Let d = p + r. Calculate the common denominator of 83/4 and d. 12 Let y = 2359 - 21262/9. What is the common denominator of y and -41/3? 9 Let b = 2182919234/14811 + -147385. Let n = b - -1170085/236976. Calculate the common denominator of n and (31/(-3))/((-8)/(-18)). 16 Let w = 46 - 44. What is the lowest common multiple of w and 5? 10 Let b = 3 + -1. Suppose -3*t - b = 1. Find the common denominator of -67/2 and 484/(-80) - 1*t. 20 Calculate the lowest common multiple of 60 and 1*6/(-2)*220/(-12). 660 Let h = 481/154 - 73/14. Let b = 998 + -7029/7. Find the common denominator of h and b. 77 Let w(p) = p**2 + 3*p - 7. Let x = -23 - -26. What is the smallest common multiple of w(-6) and x? 33 Suppose -6 = -3*r, -2*i - i - 2*r + 16 = 0. Suppose p - i = 8. Calculate the smallest common multiple of 6 and p. 12 Suppose -5 = 2*y - 15. Suppose 0 = 3*j - g - 5 - 27, -3*g + 44 = y*j. Let n = j - 7. Calculate the smallest common multiple of n and 8. 24 Suppose -4*p - 2*j - 2 = 0, 13 = 4*p - 6*j + 3*j. Calculate the smallest common multiple of 7 and p. 7 Let j = -52124/9 - -5799. Let p(m) = m**2 + m + 8. Let w be p(0). What is the common denominator of (-7)/4*w/3 and j? 9 Let y = -7309/6 + 1235. Let h = y - 19/3. Calculate the common denominator of -2*137/12 + 2 and h. 6 Suppose -6*d = -10*d. What is the common denominator of -63/8 and 66/28 - (-3 + d)? 56 Suppose 0 = -3*y + 6*i - i + 3, 0 = -3*y + i + 15. Calculate the lowest common multiple of y and 12. 12 Suppose -3*v - 2*x = -x - 22, 38 = 3*v + 5*x. Calculate the lowest common multiple of v and 20. 60 Let k(q) = -q**2 - 14*q - 18. Let f(y) = 2*y + 16. Let b be f(-14). Calculate the least common multiple of k(b) and 18. 18 Let x = 4 + -8. Let j(w) = -w**3 - w**2 - w - 1. Let l(n) = 2*n**3 + 7*n + 7. Let b(h) = 3*j(h) + l(h). What is the lowest common multiple of b(x) and 11? 44 Let o(v) = -4*v**2 + 3*v**2 - 3 + 4*v - v**2 + 3*v**2. Let m be o(-5). Suppose -f = 1 - m. Calculate the smallest common multiple of 2 and f. 2 Suppose -2*r + 3*j - 4 = -15, 0 = 2*r - 4*j - 12. Let q(b) = b**3 - 4*b**2 + 4*b - 3. What is the common denominator of q(r) and -11? 1 Let p(g) = 4*g**2 + 2*g - 2. Suppose 4*x - 3 = -11, -3*m + x + 89 = 0. Suppose -3*b + 1 = -m. Calculate the smallest common multiple of p(-2) and b. 10 Let w(z) = z**3 - 6*z**2 + 8*z - 3. Let f be (24/(-9))/(1/(-3)). Let b = 13 - f. What is the smallest common multiple of w(b) and 6? 12 Let j(w) = -w**3 + 4*w**2 + 6*w - 2. Let z be j(5). Suppose -z = 5*a - 13. Calculate the smallest common multiple of a and 22. 22 Let a = 583 - -1403. Let t = -55515/28 + a. Calculate the common denominator of t and 73/2. 28 Let k be 1923777/66*(-1)/3. Let i(t) = -197*t**2 + 8*t - 5. Let w be i(-7). Let r = k - w. Find the common denominator of r and 19/2. 22 Let u = -1 - -11. Suppose 3*v = 2*o + 126, 18 = -4*v - o + 175. Suppose -6*b = -b - v. Calculate the least common multiple of u and b. 40 Suppose 4 = 2*t - 0. Suppose -t*n = -3*n + 4. Let x(s) = -7*s**3 - s**2 + 1. Calculate the smallest common multiple of n and x(-1). 28 Suppose 2 = w + w. Find the common denominator of w/(-3) + (-235)/(-66) and 27/20. 220 Let d = 40 + -30. Calculate the lowest common multiple of d and 12. 60 Let m = -24 - -26. What is the least common multiple of 7 and m? 14 Let a = -4 + 0. Let l = 15 + a. Suppose -30 = -2*t + 3*h, t + 52 = 5*t - 4*h. Calculate the smallest common multiple of t and l. 99 Let x(t) = -t + 1 + t**2 + 0 + 3*t. Let k = -5 - -3. Calculate the smallest common multiple of 8 and x(k). 8 Let r = -2/1723 + 81001/17230. Calculate the common denominator of r and 57/40. 40 Suppose 0 = d - 17 + 4. Let v = d - 2. Calculate the smallest common multiple of v and 7. 77 Let j(f) = -3*f**2 - 1. Let n be j(-1). Let m be (-2)/(2 + n) + -1. Suppose m = -7*w + 4*w + 24. Calculate the smallest common multiple of 7 and w. 56 Let d = 11381/734 + -2/367. Let i = -1290979/79854 - -1/13309. What is the common denominator of i and d? 6 Let n = 31/8 - 503/72. Find the common denominator of (0 - -1) + -5 - 2250/(-990) and n. 99 Let h = -37 - -45. What is the lowest common multiple of 6 and h? 24 Suppose -5*n + 28 = 2*a, a - 1 - 22 = -4*n. Suppose 2*q - 12 = -q. Suppose 3*z - q*o = 9, 6 + 0 = 2*z + 3*o. Calculate the smallest common multiple of z and n. 6 Let p = -349389/22 - -15878. Find the common denominator of p and 8055/(-2100) - 2/(-7). 220 Calculate the common denominator of -20/3 and (-1)/(-6)*4*34/(-4). 3 Calculate the smallest common multiple of 9/(243/(-6)) - (-994)/18 and 45. 495 Let k(c) = 2*c - 10. What is the least common multiple of k(6) and 5? 10 Let x be (42/4 + -3)*3. Let m = x - 29. Find the common denominator of m and -49/5. 10 Let u(g) be the second derivative of 0 - 1/2*g**3 - 4*g - 7/2*g**2. Calculate the smallest common multiple of 10 and u(-5). 40 Suppose 6*b - 37 = 23. Calculate the least common multiple of b and 3. 30 Suppose -3*k - 10851 = -3*y, 3*k = -0*y - 3*y + 10881. Let b = -57925/16 + y. Calculate the common denominator of -57/28 and b. 112 Let l = -11588 - -138941/12. Find the common denominator of 5/9 and l. 36 Suppose -t = h - 12, -t = 2*h - 13 - 11. Calculate the common denominator of (1 - -2) + 254/h and 111/14. 42 Let q = 17335/2 - 8320. Let g = q - 354. Let b = -5029/1048 - 10/131. What is the common denominator of b and g? 8 Suppose 4*g - 18 = 4*i - 7*i, 4*g = i - 6. What is the common denominator of (-2 - 3)*(-25)/i and -1 + 1 + (-25)/(-11)? 66 Let d = 74/313 - 18809/9390. What is the common denominator of -31/39 and d? 390 Suppose 0 = 2*t - 4, t + 154 = -4*j - 4*t. Let u(m) = m**3 - 14*m**2 + 31*m - 23. Let n be u(12). Let a = n + j. What is the lowest common multiple of a and 18? 180 Let y = 840 - 1404. Let n = -5083/9 - y. Let u = 22 + 10. Find the common denominator of n and u. 9 Find the common denominator of (207/(-36))/((-5)/6) and 63/2. 10 Suppose 4*r - 5*l + 6 = 0, 3*r + l + 3*l = 11. Let n = -41 - -14. Let y = 38 + n. What is the lowest common multiple of r and y? 11 Let w(q) = 4*q + 45. Calculate the smallest common multiple of w(-11) and 11. 11 Let m = -592/5 + 3347/30. Find the common denominator of 0/2 + 318/132 and m. 66 Let w(a) = a + 17. Let i(q) = q**2 - 3*q. Let t be i(3). Suppose t = 2*j - 17 + 7, j = 5*v - 50. What is the lowest common multiple of v and w(-13)? 44 Let a = 119/19 + -2119/38. Suppose 6*u - u = -5*y - 30, -4*y = 2*u + 20. What is the common denominator of a and (-363)/(-60) + y/16? 10 Suppose 3*j = 17 - 5. Suppose j*g = 2*g + 44. Calculate the lowest common multiple of 16 and g. 176 Suppose 6*n - 3*n - 9 = 0. Suppose n*b = 4*b. Calculate the common denominator of 5/(-20) + -8 + b and -121/10. 20 Let b = -1911/244 - 1/732. Let x = 5094/5 + -1028. Find the common denominator of b and x. 30 Suppose -s = -3 - 47. Find the common denominator of -27/8 and ((-57)/(-4))/(60/s). 8 Let m = 13 - -3. Suppose z = 3*p - 21, 0 = -4*p + p - z + 27. What is the least common multiple of p and m? 16 Let y = -2 - -7. Let r = y + 13. Calculate the lowest common multiple of 8 and r. 72 Suppose 2*a = 10, -d - a - 16 = -4*a. Calculate the common denominator of ((-2)/(-27))/(8/534) and ((-424)/40)/(d + 3). 90 Suppose 2*k - k = 4. Let b = -6 - k. What is the smallest common multiple of 33/5 + (-4)/b and 7? 7 Suppose 20 = -2*k - 3*k, -2*b + 10 = k. What is the least common multiple of b and 1? 7 Let r = 33/25 + -2773/150. Find the common denominator of r and -119/30. 30 Let g = 2659/14 - 395/2. What is the common denominator of -65/9 and g? 63 Let b = -13140502157/11533712 + -6/720857. Let k = 1141 + b. Find the common denominator of 4/18 - 404/360 and k. 80 Suppose 0 = -0*v - 5*v + 195. Let a = -17 + v. Calculate the least common multiple of a and 14. 154 Suppose -f = 3*o + 16, 4*f - 4*o + 28 = -4. Find the common denominator of 75/4 and 15/f - (-65)/(-4). 4 Let h = 6 - 7. Let z be 11 + (-1 + 0 - h). Find the common denominator of (4/z - 0) + -2 and -13/11. 11 Let p = 14445/5512 + 3/689
{ "pile_set_name": "DM Mathematics" }
*3 - 2*p**2 - 2 Let z = 19 - 27. Let v(l) = 6*l**3 + 3*l - 5. Let n(b) = -9*b**3 - 5*b + 8. Give z*v(t) - 5*n(t). -3*t**3 + t Let l(i) = -7*i**2 + 6*i + 10. Let x(j) = -20*j**2 + 17*j + 29. Let n(s) = -17*l(s) + 6*x(s). Let o(r) = 5*r**2 - r - 21. Give -11*n(c) - 2*o(c). c**2 + 2*c - 2 Let x = 9 + -5. Suppose 0 = -u - 5*b + 18, 10 = x*u + b - 5. Suppose 4*f - u*f = -3. Let v(r) = -6*r - 4. Let w(p) = 5*p + 3. Determine f*v(k) - 4*w(k). -2*k Let s(v) = -v**3 + v**2 - 2*v - 24. Let k(x) = 2*x**3 - 2*x**2 + 3*x + 24. Determine -2*k(l) - 3*s(l). -l**3 + l**2 + 24 Let z(c) = 2*c**2 - 2*c + 1. Let f(d) be the first derivative of 2*d**3 - 7*d**2/2 + 2*d - 14. Give 2*f(g) - 7*z(g). -2*g**2 - 3 Let h(k) = -3*k**2 - 5*k. Suppose 2*g + 9*g + 22 = 0. Let w(t) = -t**2 - 3*t. Give g*h(a) + 5*w(a). a**2 - 5*a Let i(l) = 3*l - 12*l - 7 + 6*l**2 - l**2 + 0*l**2. Suppose -5*h = -2*h - 18. Let c(b) = 2*b**2 - 4*b - 3. Calculate h*i(q) - 14*c(q). 2*q**2 + 2*q Let b(v) = -v**2 - v - 1. Let u(a) = a + 1. What is 2*b(q) + 3*u(q)? -2*q**2 + q + 1 Let y(a) = 6*a + 8. Let p(g) = g + 1. Calculate -40*p(x) + 5*y(x). -10*x Let p(k) = -12*k**3 + 3*k**2 - 3*k. Let i(r) = 13*r**3 - 2*r**2 + 2*r. Give -3*i(y) - 2*p(y). -15*y**3 Let j(x) = x**2 - 2. Let v(s) = 8*s**2 - 17. Let r(t) = -4*t - 14. Let y be r(-4). Suppose 0*a = -y*a + z + 103, -z = 5*a - 254. Give a*j(w) - 6*v(w). 3*w**2 Let l(s) = -15*s + 4*s - 2 - 3. Let b(y) = 6*y + 3. Let k = -108 - -103. Calculate k*b(x) - 3*l(x). 3*x Let u(i) be the second derivative of 0 - 3*i**2 + 3*i - 1/3*i**3. Let x(m) = 6*m + 17. Let t(g) = 2*g - 6. Let d be t(6). Determine d*x(a) + 17*u(a). 2*a Let y(m) = 11*m + 5. Let d(f) = -10*f - 6. What is 5*d(r) + 6*y(r)? 16*r Let d(l) = l**3 - 3*l**2 + 2*l - 1. Let b be d(2). Let n be (36/(-21))/((-10)/35). Let m(u) = -u + 1. Let w(x) = -8*x + 7. Give b*w(q) + n*m(q). 2*q - 1 Let f(u) = 11*u**3 - 17*u**2 - 14*u - 6. Let c(s) = -4*s**3 + 6*s**2 + 5*s + 2. Calculate 17*c(p) + 6*f(p). -2*p**3 + p - 2 Let t(w) = 6*w**3 - 2 + 17*w - 15*w + 2*w**2 + 0*w**3. Let b(c) = -7*c**3 - 3*c**2 - 3*c + 3. Calculate -2*b(u) - 3*t(u). -4*u**3 Let v(z) = z**3 + 4*z**2 - 5. Let j(f) = -f**2 + 1. Calculate 3*j(u) + v(u). u**3 + u**2 - 2 Let g(d) = 4 - 3 + 0. Let m(i) = i**3 - 4. Suppose -u - 11 = 1. Determine u*g(b) - 3*m(b). -3*b**3 Let s be ((-2)/(-1))/(0 - -2). Let f(d) = 2 - 2*d**2 - 3 + d**2 - d + 2*d. Let b(t) = t**3 + 3*t**2 - 3*t + 4. Calculate s*b(z) + 3*f(z). z**3 + 1 Let v(u) = -10*u - 5. Let s(x) = 29*x + 14. Give 4*s(k) + 11*v(k). 6*k + 1 Let y(g) = 2. Let s(c) = -c + 1. Give -6*s(z) + 5*y(z). 6*z + 4 Let v(a) = -32*a - 6. Let d(l) = -11*l - 2. What is -11*d(x) + 4*v(x)? -7*x - 2 Let b(u) = 57*u - 2. Let r(n) = 1652*n - 59. Give 59*b(f) - 2*r(f). 59*f Let w(n) = -3*n**2 - 6*n + 1. Let h(s) = -s**2. What is 6*h(b) - w(b)? -3*b**2 + 6*b - 1 Let h(w) be the second derivative of -w**5/20 - w**2/2 - 2*w. Let l(u) = 3*u**3 + 2*u**2 + u - 4. Let b be l(-2). Let n(f) = 12*f**3 + 11. Give b*h(r) - 2*n(r). -2*r**3 Let h be 2 - (0/3)/3. Suppose o - 4*o = 33. Let g(b) = 4*b - 1. Let l(x) = -3*x + 1. Let n(f) = 4*g(f) + 6*l(f). Let y(i) = -10*i + 10. What is h*y(u) + o*n(u)? 2*u - 2 Let l(a) = -a**2 + 7*a - 10. Let m(z) = 2*z - 3. Let o(c) = -c + 12. Let j be o(5). Calculate j*m(x) - 2*l(x). 2*x**2 - 1 Let n(p) = -2*p**3 - 8*p**2 + 2*p + 3. Suppose 1 = 3*d - 8. Let c(g) = 2 + 2*g**2 - g**3 + g + 0*g**d - 7*g**2. Determine -8*c(r) + 5*n(r). -2*r**3 + 2*r - 1 Let i(c) = c**2 + 7*c + 5. Let d(g) = -g - 1. Give -6*d(h) - i(h). -h**2 - h + 1 Let m(t) = 2*t. Let h be 14/8 - (-3)/12. Let a(v) = -h*v + 0*v - 3*v - v. Give -5*a(d) - 16*m(d). -2*d Let l(c) = -4*c - 17. Let j(s) = s - 4. Let h be j(9). Let w be 1/h + 29/5. Let q(g) = 2*g + 8. Give w*l(u) + 13*q(u). 2*u + 2 Let h(n) = 2*n**2 - 4*n - 1. Let x(q) = -4*q**2 + 9*q + 3. Let o be (57/(-38))/(2/4 - 1). Calculate o*x(d) + 7*h(d). 2*d**2 - d + 2 Let g(w) = -3 - 1 + 3 + 2*w. Let t be 2*-1 - (0 + 1). Let c(l) = 2*l + 4. Let h(s) = -3*s - 5. Let y(b) = 4*c(b) + 3*h(b). Calculate t*y(o) - g(o). o - 2 Let p(j) = j**2 + 3. Let f(y) = 2*y**2 + y + 7. Let m = 6 - 1. Suppose 3*b - 2*o = -10, 6*b = b + o - 12. Give b*f(w) + m*p(w). w**2 - 2*w + 1 Let g(u) = -3*u**2 + 3. Let a(l) = -2*l**2 + 4. Give 3*a(b) - 4*g(b). 6*b**2 Let k(g) = 9*g - 7. Let t(f) = 25*f - 20. Let o(j) = -17*k(j) + 6*t(j). Let v(n) = n**2 - 2*n - 1. Calculate 2*o(m) - 3*v(m). -3*m**2 + 1 Let m(v) = -2*v**2 - 4*v + 9. Let t = 13 - 6. Let g(x) = x**2 + 2*x - 5. Determine t*g(u) + 4*m(u). -u**2 - 2*u + 1 Let w(h) = -h**3 - 3*h**2 + 5*h + 5. Let p(s) = 2*s**2 + s**3 - 3*s + 7 - 10 + 0*s**2. Give -5*p(d) - 3*w(d). -2*d**3 - d**2 Let h = 14 - 9. Let w(n) = -2*n - 2. Let l(p) = 4 + 5*p + 1 + 0*p**2 - 4*p**2. Let r(v) = -v**2. Let g(i) = l(i) - 5*r(i). Calculate h*w(q) + 2*g(q). 2*q**2 Suppose -5*c + 6*c = 25. Let t be (-2)/(-10) + (-80)/c. Let y(m) = -2*m**2 + 3. Let o(u) = 3*u**2 - 4. Let b be ((-2)/5)/((-3)/(-30)). Give b*y(k) + t*o(k). -k**2 Let l(s) = 2*s**3 + 11*s**2. Let g(f) = -2*f**3 - 10*f**2. What is -2*g(w) - 3*l(w)? -2*w**3 - 13*w**2 Let i(x) = -x**3 - 2*x**2 - 2. Let f(z) = z**2 + 1. Let q(a) = 2*a. Let b be q(2). Determine b*f(u) + 2*i(u). -2*u**3 Let l(k) = k**2 - k + 1. Let q(w) = -2*w**3 - 6*w**2 + 5*w - 5. Let s = 186 + -187. Determine s*q(x) - 5*l(x). 2*x**3 + x**2 Let t(h) = -h + 1. Let p(l) = -l**3 - 17*l**2 + 21*l + 48. Let z be p(-18). Let n(v) = -v + 6. What is z*t(a) + n(a)? 5*a Let b(s) = 2*s. Let t = 22 + -25. Let q(l) = -l. What is t*b(m) - 2*q(m)? -4*m Let r(p) = p. Let w(f) = -4*f + 5. Determine -5*r(b) - w(b). -b - 5 Let s(y) = y**2 - 1. Let b(r) be the third derivative of -r**5/60 + r**4/12 + 2*r**3/3 + 31*r**2. Give -b(n) - 3*s(n). -2*n**2 - 2*n - 1 Suppose -4 + 7 = -3*r. Let k(y) = -y**2 - 2*y + 1. Suppose 2 + 1 = -3*h. Let z = -3 - h. Let s(g) = g**2 + g. Give r*k(f) + z*s(f). -f**2 - 1 Let k(l) = 26*l**2 + 17*l. Suppose -30 = -4*s + 18. Let h(r) = -s*r**2 + 2*r + 0*r + 3*r**2 - 8*r. What is 17*h(q) + 6*k(q)? 3*q**2 Let n = -13 - -4. Let k = n - -4. Let s(c) = -4. Let r(f) = -9. Let q(h) = -3*r(h) + 7*s(h). Let u(d) = -d - 3. Give k*q(y) + u(y). -y + 2 Let u(j) = -630*j. Let k(r) = 17*r. What is 147*k(g) + 4*u(g)? -21*g Let l(a) be the first derivative of a**3/6 + a**2 - a - 5. Let m(h) be the first derivative of l(h). Let k(y) = -3. Calculate -2*k(j) - 3*m(j). -3*j Let v(y) = y**3 - y + 2. Let u(b) be the first derivative of -b**4/4 - 3*b - 11. Calculate 2*u(q) + 3*v(q). q**3 - 3*q Let i(y) = -3*y**2 - 8*y - 2. Let j(q) = q**2 + 4*q + 1. Give -4*i(s) - 9*j(s). 3*s**2 - 4*s - 1 Let s(h) = -h + 1. Let o be ((0 - 4) + 3)/1. Let p(f) = f**2 - 4*f + 2. Give o*p(m) + 3*s(m). -m**2 + m + 1 Let p(c) = -1. Let d(l) be the first derivative of -l**2/2 - l - 10. What is d(r) - 2*p(r)? -r + 1 Let y(x) = 2*x**2 - 16*x. Let j(g) = g. Calculate -6*j(i) - y(i). -2*i**2 + 10*i Let z(v) = -2*v + 5. Let r(f) = 1. Let p(k) = -3. Let g(a) = p(a) + 2*r(a). Determine 2*g(h) + z(h). -2*h + 3 Let l(q) = -2*q**3 + q**2. Let d(n) = n**3. Give 4*d(a) + l(a). 2*a**3 + a**2 Let j(w) = -5*w**3 - 4*w. Let t(d) = d. Determine -j(i) - 6*t(i). 5*i**3 - 2*i Let t = 3 - 1. Suppose -p + 0*l = -l, -2*p + 4*l - 6 = 0. Let n(m) = -m**2 - m + 3. Let f(k) = k - 2. Calculate p*f(u) + t*n(u). -2*u**2 + u Let f(w) = -w - 1. Let x(j) be the second derivative of j**2 + 0 + 4*j + 1/3*j**3. Give -7*f(b) - 4*x(b). -b - 1 Let k(t) = t**3 - t**2 - t - 1. Suppose 0 = -5*o - 8 - 12. Let r(u) = -5*u**3 + 4*u**2 + 3*u + 5. Determine o*k(x) - r(x). x**3 + x - 1 Let y(b) = -5*b**2 + b + 5. Suppose 0 = 9*u - 14*u + 85. Suppose v = 3*k + 18, 4*v + 0*k - u = k. Let n(h) = -9*h**2 + h + 9. Calculate v*n(s) - 5*y(s). -2*s**2 - 2*s + 2 Suppose -f + 4 = f. Let o = 7 - 6. Let s(v) = -3*v - v + o + 0. Let y(q) = 3*q. Give f*s(a) + 3*y(a). a + 2 Let k(s) = s**2 + s. Let h(r) = r**2 - r. Let v(j) = -2*j**2 + 10*j. Suppose 0 = 4*o + 7 - 3. Let x(l) = o*v(l) - 5*h(l). Determine 5*k(y) + x(y). 2*y**2 Let r(l) = 3*l**3 - l**2. Let z(a) = -7*a**3 + 3*a**2. Let i(u) = -9*r(u) - 4*z(u). Let b(d) = 4*d**2 + 0*d - 79*d**3 + 77*d**3 - d. Determine 2*b(v) + 3*i(v). -v**3 - v**2 - 2*v Suppose 2*h - 5*u + 8 = 1, 0 = -4*h - 5*u + 1. Let b(y) = 4*y**3 - y + 0*
{ "pile_set_name": "DM Mathematics" }
3 - 170. Let k = w + z. What is the greatest common factor of k and 17? 17 Suppose 14*v - 10*v + 4*h = 240, 5*v + 4*h = 296. Suppose 10 = -k - k. Let s be (-4 - v)*4/k. What is the greatest common divisor of s and 6? 6 Let n be 5/(-25) + 666/5. Let a(g) = 7*g + 33. Let i be a(-2). Calculate the greatest common factor of i and n. 19 Let h = 258 + -154. What is the highest common factor of h and 52? 52 Let j = -73 - -32. Let g be 2 + -1 + 234/(-3). Let l = j - g. What is the greatest common divisor of 4 and l? 4 Suppose -4*l = -7*a + 6*a - 108, 5*a - 76 = -2*l. What is the highest common divisor of l and 378? 14 Suppose 7*d - 3*d = -w + 4, 0 = 4*w + 4*d - 28. Calculate the highest common divisor of w and 5. 1 Let z(k) = -k + 20. Suppose -3*i = 66 - 87. Let r be z(i). What is the highest common factor of r and 65? 13 Suppose 3*h + 5*p - 354 = 1266, 2*p - 2700 = -5*h. What is the greatest common divisor of h and 36? 36 Let k(j) = 14*j + 49. Let w be k(9). What is the highest common divisor of w and 70? 35 Let j(o) = o - 10. Let g be j(-6). Let l = g + 48. Suppose -5*k - 2*h + 13 = -7, 0 = 3*k - 5*h - 12. What is the highest common divisor of k and l? 4 Let r = -127 + 217. Calculate the greatest common divisor of 990 and r. 90 Suppose 5*x - 230 - 450 = 0. Let k = -99 + 116. Calculate the greatest common factor of x and k. 17 Suppose 2*p + 4*p = 144. Let q be (12/15)/(4/30). What is the greatest common divisor of q and p? 6 Let v be (-4)/10 - 831/(-15). Suppose -2*d = -4*f + 26, -324*f - 14 = -325*f + 3*d. What is the greatest common divisor of f and v? 5 Let g(a) = -4*a**3 + 5*a**2 + 2*a - 7. Let m be g(-3). Calculate the greatest common divisor of 35 and m. 35 Let i(f) = 92*f + 26. Let o be i(10). What is the greatest common divisor of 22 and o? 22 Suppose -5*n = -123 - 327. What is the greatest common factor of 10 and n? 10 Suppose -21 = 4*m - 2*k - 63, 21 = m + 3*k. Let s(g) = g**2 - 5*g. Let a be s(m). What is the greatest common factor of 12 and a? 12 Let f = -122 - -527. Suppose m = 4*m - f. Suppose 2*u = 4*u - 30. Calculate the greatest common factor of u and m. 15 Suppose 7*k = 1598 + 19. What is the greatest common divisor of 21 and k? 21 Let r(g) = -g**2 - 11*g - 6. Let n be r(-6). Suppose -3*s - 8 = 4*y, n = 4*y - 6*s + s. Let x be 1 + (4 - y)*13. What is the highest common factor of 100 and x? 20 Let o = 3877 + -3874. Suppose 104 = -5*s - 6. Let t be 2*-1 - (s - 1). Calculate the highest common factor of o and t. 3 Let j = -31 - -35. Suppose -3*b + 2*i + 66 + 44 = 0, 5*b + j*i - 220 = 0. What is the greatest common factor of 60 and b? 20 Suppose -g - 2*g - 9 = 0, 0 = 2*i - 5*g - 61. Let b be 2*1/2 + i. What is the highest common factor of 60 and b? 12 Let z = 3 + -3. Suppose -u + 13 = -z*u. Suppose 5*j = 361 + 224. Calculate the greatest common factor of u and j. 13 Let v = -935 + 1045. What is the highest common divisor of 70 and v? 10 Let c(h) be the first derivative of -h**3/3 - 3*h**2/2 - h - 1. Let z be c(-3). Let j = 14 - z. What is the greatest common divisor of 120 and j? 15 Suppose 0 = 9*x - 0*x - 54. Let i be 135/7 + x/(-21). What is the highest common factor of i and 38? 19 Suppose 11*k + 412 = 1820. What is the highest common divisor of k and 32? 32 Let o(d) = -d**3 + 15*d**2 + 17*d - 8. Let i(c) = 15*c + 1. Let q be i(1). Let s be o(q). What is the highest common divisor of 24 and s? 8 Let a(r) = 20*r + 23*r + 2*r**3 - 17*r**2 - 7 - 32*r. Let v be a(8). Calculate the highest common divisor of v and 68. 17 Suppose -5*k = z - 30, -k - 5*z = -2*z - 20. Suppose y = -k*y + 1032. What is the greatest common divisor of y and 43? 43 Let u = -46 - -17. Let h = -15 - u. Calculate the highest common divisor of h and 7. 7 Suppose 6*r + 5*r = 110. Suppose -3*c = -k + c + 7, 5*c - r = 0. Calculate the greatest common divisor of 60 and k. 15 Let f(a) = a**2 + 19*a + 17. Let x be f(-19). Calculate the greatest common factor of x and 153. 17 Let u(x) = -47*x + 190. Let z be u(4). Calculate the highest common divisor of z and 3. 1 Suppose 3*j + 7 + 5 = 0, -3*v + 5*j = -71. What is the highest common factor of v and 153? 17 Let m be -9*4*(-1)/2. Suppose 2 = 5*i - m, -5*p - 5 = -5*i. Calculate the highest common factor of 24 and p. 3 Let a = 1472 + -1433. What is the greatest common factor of a and 312? 39 Suppose 5*x - 4457 = -4*h, 6*h - 3562 = -4*x + h. Calculate the greatest common factor of x and 38. 19 Suppose -2*z + 4*z = 3*p + 15, -4*p = -5*z + 20. Let q be (6 - z)*140/(-30). Let l be 133*(-1 - 36/q). Calculate the highest common factor of l and 19. 19 Let k be (-5)/(2/(-8)*10). Let g(s) = -s + 2. Let u be g(0). Suppose 2*o + j + u*j = 104, k*o - j = 104. What is the highest common divisor of o and 13? 13 Suppose -5*x = 4*k - k - 192, -k - 2*x + 64 = 0. What is the greatest common factor of k and 192? 64 Let n = -211 - -300. Let y = -44 + n. Calculate the highest common divisor of y and 15. 15 Let l = 953 - 153. Calculate the highest common divisor of l and 50. 50 Let u(n) = -47*n**2 - 324*n + 5. Let r be u(-4). Calculate the highest common divisor of 9 and r. 9 Let p be (5 + -1)/((-2)/(-10)). Let j be 35*9/45 - -33. What is the greatest common factor of j and p? 20 Let h(c) = 2*c + 27. Let b be h(-12). Suppose w + 384 = 3*x, -3*x + b*w = -2*x - 128. Calculate the greatest common factor of 16 and x. 16 Suppose -119*t = -117*t, 4*t = -4*n + 15880. Calculate the greatest common factor of 10 and n. 10 Suppose 0 = -7*l - 61 - 170. Let g be l/(-21) - 9/(-21). What is the greatest common factor of g and 8? 2 Suppose 0 = 2*p + 3*y - 189, -2*p + 5*p - 3*y - 261 = 0. Calculate the highest common factor of 30 and p. 30 Let t be (-1 + 4 - -6) + -4. Let g be t/((-5)/(-18))*2. Calculate the greatest common divisor of g and 108. 36 Suppose 40*b = 21*b + 437. What is the greatest common divisor of 1541 and b? 23 Let l(z) = z + 5. Let w be l(0). Suppose p - 4*p + 9 = 0. Suppose 5*x = j - 15, -3*j - 2*j + 131 = p*x. What is the highest common divisor of w and j? 5 Suppose -5*n + 4 = -4*n. Let c be n/3 + 13/(-39). Let j be 24/c*(-2)/(-6). What is the highest common factor of 40 and j? 8 Suppose -x - 89 + 333 = 0. What is the greatest common factor of 305 and x? 61 Suppose 2*k = -5*a + 120, 4*k - 146 = -2*a + 62. What is the greatest common divisor of k and 190? 10 Let r be (-949)/(-26) - (-3)/6. What is the greatest common divisor of 1 and r? 1 Suppose -4*m + 10 + 70 = 0. Suppose 8*d - m = 4*d. Let q be ((-10)/(-4))/(d/20). Calculate the greatest common divisor of 80 and q. 10 Let i = 228 - 111. Let d = i - 77. Let s = -165 + 185. Calculate the greatest common factor of d and s. 20 Let l = 182 - 112. Suppose 0 = 5*u - 4*a - 50, -3*a - 29 = 5*u - 114. What is the greatest common divisor of u and l? 14 Suppose 5*k - 11 = -1. Suppose -k*j = 6*j - 768. Let z be 10 + 0 - (-4)/2. What is the greatest common divisor of j and z? 12 Let d(x) = 3*x + 3. Let l be d(5). Let r = l + 1. What is the highest common divisor of r and 38? 19 Let q(j) = j**3 - 22*j**2 + 4*j - 22. Let n be q(22). Calculate the greatest common factor of 12 and n. 6 Suppose -5*n + 23 + 142 = 0. Let s(i) = 11*i + 44. Let l be 511/21 - (-4)/(-3). Let h be s(l). What is the highest common divisor of n and h? 33 Suppose 0 = -6*v + 2*v + 240. What is the highest common factor of 48 and v? 12 Let f be (-2)/9 + 20/9. Let o be 2*1 - (-2)/f. Let z be 6/8 + (-525)/(-20). What is the highest common factor of z and o? 3 Let h(v) = -v**3 + 14*v**2 + v - 8. Let u be h(14). Let m be (-32)/12*(-81)/u. What is the greatest common divisor of m and 396? 36 Let m(x) = -27*x - 60. Let t be m(-4). Calculate the highest common factor of 90 and t. 6 Let m be (-1)/2 + -95*(-24)/80. What is the greatest common factor of m and 84? 28 Let j(c) = -21*c + 616. Let h be j(0). What is the highest common divisor of h and 42? 14 Suppose -26 = -25*q + 74. Calculate the highest common divisor of q and 152. 4 Let l be 6/(-4)*48/(-4). Suppose i - 7*i = -l. What is the highest common divisor of 2 and i? 1 Let k = -955 + 963. Calculate the highest common divisor of k and 296. 8 Let x = -12 + 35. What is the greatest common factor of x and 276? 23 Let k(m) = 2*m**2 + 20*m - 15. Let j be k(-11). Calculate the highest common divis
{ "pile_set_name": "DM Mathematics" }
what is -195 - -32? -163 In base 13, what is 0 - 10b5? -10b5 In base 7, what is 61 + 26? 120 In base 8, what is 3 + 3521? 3524 In base 16, what is -23 - 3? -26 In base 6, what is -2 + -103? -105 In base 10, what is -21 - -26? 5 In base 9, what is -148 + -6? -155 In base 13, what is -3bc - 13? -402 In base 10, what is 15037 - 3? 15034 In base 7, what is 1 - -4550? 4551 In base 15, what is -5 - -62? 5c In base 5, what is 10 + 1103? 1113 In base 11, what is 5 - -aa? 104 In base 6, what is 32 + -10? 22 In base 11, what is -18 + 4? -14 In base 6, what is -1 + -51? -52 In base 6, what is 0 + 33? 33 In base 12, what is -7 + 34? 29 In base 9, what is 1716 + 1? 1717 In base 10, what is -5 + -250? -255 In base 12, what is -2 - -115a? 1158 In base 8, what is 2 - -3? 5 In base 5, what is -123 + 22? -101 In base 12, what is 33 + -1b? 14 In base 16, what is 8 + 3c? 44 In base 2, what is -111110111101 + 10? -111110111011 In base 14, what is -60d - 4? -613 In base 4, what is -101 + 30? -11 In base 15, what is 9 + 67? 71 In base 6, what is 2004 + 4? 2012 In base 13, what is 1 + -40b? -40a In base 15, what is 5 + -24? -1e In base 6, what is 3 - 1210? -1203 In base 15, what is 4 + -142? -13d In base 16, what is 6 - -59? 5f In base 12, what is 346a - 2? 3468 In base 11, what is -4 - -109? 105 In base 3, what is -2111 + 1? -2110 In base 11, what is 1924 + -1? 1923 In base 2, what is -11 + -1000011110? -1000100001 In base 7, what is 5426 + 1? 5430 In base 5, what is 0 - -130324? 130324 In base 3, what is 2011 + -10? 2001 In base 8, what is 7362 - 3? 7357 In base 12, what is -b5 - 35? -12a In base 7, what is -104 - 105? -212 In base 9, what is 411 + 17? 428 In base 3, what is 0 - 100? -100 In base 6, what is -133 - 20? -153 In base 16, what is -76 + 3? -73 In base 7, what is -1 + -2661? -2662 In base 8, what is -176 - 1? -177 In base 8, what is 12 - 5? 5 In base 3, what is -12201 - -100? -12101 In base 3, what is -1 - 12? -20 In base 9, what is 31 + -8? 22 In base 8, what is 6 + 202? 210 In base 4, what is 1 + -33102? -33101 In base 11, what is -40 + -3? -43 In base 12, what is -1811 + 5? -1808 In base 11, what is -294 - -5? -28a In base 5, what is -10 + -233? -243 In base 7, what is 5361 + 1? 5362 In base 8, what is 4 - 2721? -2715 In base 15, what is 1b - 1? 1a In base 16, what is -1a3b + 4? -1a37 In base 16, what is 32 + 9? 3b In base 4, what is -12 - 1123? -1201 In base 7, what is 1536 + -33? 1503 In base 4, what is 333002 - 0? 333002 In base 13, what is 4 - -1710? 1714 In base 7, what is 1314 - -1? 1315 In base 5, what is 12232 - 2? 12230 In base 8, what is -2 + -4074? -4076 In base 13, what is -1002 - -2? -1000 In base 9, what is -6460 - -3? -6456 In base 11, what is -56 + 2? -54 In base 12, what is -9 - -b? 2 In base 10, what is 2 + 29? 31 In base 6, what is -203 + -5? -212 In base 7, what is 5 + 20? 25 In base 10, what is 2 + -29? -27 In base 16, what is 21 - 6? 1b In base 2, what is -10 + 1100000100000? 1100000011110 In base 2, what is -1110001011 - -10? -1110001001 In base 5, what is -14 + -122? -141 In base 11, what is 3 + -1? 2 In base 16, what is -2 + 9? 7 In base 15, what is -69 - 84? -ed In base 15, what is 4 + 123? 127 In base 15, what is -59 - 4? -5d In base 14, what is -3 + 41? 3c In base 6, what is -1020 - -3? -1013 In base 7, what is -2416 - 1? -2420 In base 14, what is 289 + 6? 291 In base 11, what is -171 - -1? -170 In base 6, what is 312 - 111? 201 In base 14, what is 14 + 29? 3d In base 12, what is 2 - -113? 115 In base 9, what is -1750 - 0? -1750 In base 3, what is -1122222 + -212? -1200211 In base 9, what is 12081 - 5? 12075 In base 11, what is 5 + -26? -21 In base 4, what is -33 - 12322? -13021 In base 5, what is 10 - -130044? 130104 In base 8, what is -23 - -160? 135 In base 8, what is 143 - -4? 147 In base 7, what is -5 - -256? 251 In base 16, what is -8b - -1? -8a In base 5, what is 24 - -101? 130 In base 15, what is 4 + 633? 637 In base 4, what is -230 - 2030? -2320 In base 15, what is -1023 + -2? -1025 In base 16, what is 1 - -f? 10 In base 9, what is 3 + -350? -346 In base 14, what is -20 + 1? -1d In base 4, what is -102 - 30? -132 In base 5, what is -111 + -3? -114 In base 6, what is 31 + -102? -31 In base 2, what is 110111001 - 0? 110111001 In base 15, what is 16 - 4d? -37 In base 6, what is 0 + 350? 350 In base 2, what is -110110000 - -111? -110101001 In base 9, what is -142 - 3? -145 In base 15, what is -4 + -48? -4c In base 15, what is -2 + 21? 1e In base 13, what is 3 - 59? -56 In base 5, what is -111022 + -1? -111023 In base 5, what is 213003 - -4? 213012 In base 4, what is -11211 - -3? -11202 In base 11, what is -12 + -248? -25a In base 13, what is -487 + 1? -486 In base 8, what is 4377 + 3? 4402 In base 2, what is 10100011 + 100? 10100111 In base 9, what is -268 - -34? -234 In base 2, what is 1010011000010 - 11? 1010010111111 In base 10, what is -14 - -20? 6 In base 5, what is 201 + 10? 211 In base 7, what is -400 + -3? -403 In base 2, what is 10 + -110010? -110000 In base 11, what is 137 + -4? 133 In base 7, what is 4 - 5? -1 In base 12, what is -2 + 10a? 108 In base 8, what is -4404 + 5? -4377 In base 14, what is 0 - -4c? 4c In base 8, what is -3044 + 2? -3042 In base 6, what is 2 - -14? 20 In base 15, what is -1b + 1e? 3 In base 11, what is 1a5 - 1? 1a4 In base 3, what is 20010012 - 2? 20010010 In base 2, what is -1110010 - -101? -1101101 In base 2, what is 1000011 - 1101101? -101010 In base 5, what is 3430 - -13? 3443 In base 2, what is 101110 - -11000? 1000110 In base 4, what is 201 - -30? 231 In base 4, what is 1021 - -11? 1032 In base 10, what is -54 + 7? -47 In base 8, what is -2363 + -5? -2370 In base 8, what is 352 - -1? 353 In base 11, what is -3 - 10? -13 In base 16, what is -12 + -b? -1d In base 8, what is 4 + 20? 24 In base 15, what is e8 - -4? ec In base 5, what is -11404 + -2? -11411 In base 14, what is 0 + -319? -319 In base 15, what is 4ec - -1? 4ed In base 13, what is 259 - 1? 258 In base 16, what is 253 + 3? 256 In base 12, what is 2a + 48? 76 In base 16, what is -4 - 5? -9 In base 16, what is -3 + c6b? c68 In base 11, what is -5 - -24? 1a In base 15, what is 0 - -13? 13 In base 4, what is -31133 - 11? -31210 In base 10, what is -1 + 59? 58 In base 3, what is 220 + -101? 112 In base 5, what is 4132 - 0? 4132 In base 3, what is -10210 + -2? -10212 In base 15, what is 218 - 1? 217 In base 7, what is -10 - -32? 22 In base 7, what is -2 - -11564? 11562 In base 4, what is 133 - -331? 1130 In base 2, what is -10110 + -1011? -100001 In base 4, what is 1212 + -11? 1201 In base 9, what is 587 - 3? 584 In base 3, what is 10 + 20201? 20211 In base 5, what is -2042 + 122? -1420 In base 12, what is -2 + 98b? 989 In base 3, what is -2 + -10000? -10002 In base 11, what is -9 - 28? -36 In base 4, what is -10031 + 32? -3333 In base 8, what is 2 + -64? -62 In base 16, what is -1a99 + 0? -1a99 In base 15, what is -2e - 1? -30 In base 16, what is -5 + -344? -349 In base 3, what is 1 + 1021120? 1021121 In base 9, what is -23 + -1? -24 In base 15, what is -a - 12? -1c In base 3, what is 2211 - -1? 2212 In base 11, what is -101 + 1a? -92 In base 15, what is 31 + 1? 32 In base 12, what is -2 + -481? -483 In base 4, what is 11 - 313? -302 In base 13, what is 2665 - -2? 2667 In base 8, what is -3 + -1021? -1024 In base 9, what is -318 - -2? -316 In base 2, what is 10 + -1010010? -1010000 In base 12, what is -a - 0? -a In base 3, what is 11 + -10121? -10110 In base 11, what is -21 - 7? -28 In base 2, what is 11000111 + 0? 11000111 In base 10, what is -11294 - 1? -11295 In base 11, what is -5 + -2123? -2128 In base 12, what is 1199 - -3? 11a0 In base 2, what is -10011 - -10101001? 10010110 In base 3, what is 2 + 222222? 1000001 In base 4, what is -3300 + 3? -3231 In base 8, what is 1 - 1746? -1745 In base 16, what is 8 + -19? -11 In base 7, what is -3 - 422? -425 In base 6, what is 235455 + -5? 235450 In base 12, what is -5 - -8a8? 8a3 In base 6, what is 10 - 51? -41 In base 7, what is -333 - -24? -306 In base 13, what is 13 + -10? 3 In base 16, what is 3c + 2? 3e In base 5, what is -2 - -3404? 3402 In base 15, what is c - 36e? -362 In base 2, what is -10001011000 + 10? -10001010110 In base 12, what is 242 + -1? 241 In base 6,
{ "pile_set_name": "DM Mathematics" }
. -8*c**4 Let z(k) = -12*k. Let u(t) = -1358*t**2. Determine u(z(d)). -195552*d**2 Let c(y) = 8*y**2. Let u(b) = -80*b**2 - 75. Let j(h) = 4*h**2 + 3. Let v(k) = 25*j(k) + u(k). Give v(c(i)). 1280*i**4 Let q(t) = 25*t**2. Let k(g) = -2*g**2 + 16392*g - 16392*g. What is k(q(d))? -1250*d**4 Let o(b) = -4*b**2 - 10. Let p(g) = -2*g**2 - 6. Let x(q) = 3*o(q) - 5*p(q). Let d(k) = -14*k. Determine x(d(i)). -392*i**2 Let j(a) = -5*a**2. Let h(o) = o + 1. Let q = -38 - -35. Let s(y) = -4*y + 3. Let f(d) = q*h(d) + s(d). What is j(f(r))? -245*r**2 Let l(h) = -216*h**2. Let y(c) = 12*c - 5. Let t(w) = -7*w + 3. Let n(x) = -5*t(x) - 3*y(x). Calculate l(n(m)). -216*m**2 Suppose -n - 2*n - 6 = 0. Let j(w) = -w**2 + w + 1. Let z(k) = -3*k**2 + 2*k + 2. Let i(f) = n*j(f) + z(f). Let l(b) = 4*b**2. What is i(l(c))? -16*c**4 Let q(d) = 3*d. Let m(b) = 4*b. Let s(f) = 5*m(f) - 6*q(f). Let w(u) = 12*u. What is s(w(g))? 24*g Let u(v) be the first derivative of 2*v**2 + 163. Let j(d) = 102*d**2. Determine j(u(g)). 1632*g**2 Let v(q) = 11*q. Let b(t) = -5*t - 6*t + 12*t. Give v(b(l)). 11*l Let t(m) = 6*m. Let b(d) be the second derivative of -4*d**3/3 - 21*d - 2. Determine t(b(x)). -48*x Let t(w) be the third derivative of 0*w**4 + 0*w + 11*w**2 + 0 + 0*w**3 + 5/12*w**5. Let y(s) = -2*s. Give y(t(z)). -50*z**2 Let v(b) = -41*b. Let q(k) = -4*k - 6*k - 2*k**2 + 10*k. Calculate q(v(r)). -3362*r**2 Let v(g) = g**2. Let c(s) = -2*s - 9. Let u(z) = -4*z - 15. Let o(t) = 5*c(t) - 3*u(t). Calculate o(v(w)). 2*w**2 Let g(k) = 4*k - 12. Let l(c) = 4*c - 10. Let r(v) = -5*g(v) + 6*l(v). Let y(m) = -17*m. What is r(y(s))? -68*s Let s(o) = 2*o**2. Suppose -10 = -5*j, -3*j + 0 = -c + 3. Let w(g) = 18 - c - 9 + 33*g. Give s(w(m)). 2178*m**2 Let i(x) = 2*x**2. Let v(j) be the second derivative of 65*j**3/6 - 7*j + 6. Calculate v(i(h)). 130*h**2 Let z(c) = -c. Let p(g) = -33*g - 5. Let a(i) be the first derivative of 437*i**2 + 133*i - 6. Let w(l) = 5*a(l) + 133*p(l). Give w(z(d)). 19*d Let w(d) = -d + 1. Let j(z) = -3*z + 2. Let b(q) = j(q) - 2*w(q). Let h(c) = 11*c**2 - 113 + 113. What is h(b(t))? 11*t**2 Let d(q) be the second derivative of 0*q**3 - 2/3*q**4 + 16*q + 0 + 0*q**2. Let v(m) = -m. Calculate v(d(g)). 8*g**2 Let a(i) = i**2. Let p(f) be the second derivative of 53*f**3 + f**2 - 5*f - 16. Determine a(p(k)). 101124*k**2 + 1272*k + 4 Let w(s) = -30427*s. Let j(l) = -4*l. Give w(j(i)). 121708*i Let y = 66 + -47. Let x(a) = y*a - 9 + 6 + 3. Let n(m) = -2*m. Calculate n(x(u)). -38*u Let a(s) = 2*s**2. Let p be 5/((-10)/(-8)) - (5 + -5). Let m(y) = 0*y - p*y - 10*y. What is a(m(t))? 392*t**2 Let x(g) = -6*g. Let l(j) = -4*j**2 + 2*j - 177. Calculate x(l(p)). 24*p**2 - 12*p + 1062 Let b(o) = 4*o**2 + 4*o. Suppose -1 + 1 = -4*c. Let w(l) = c - 12*l**2 + 0 + 14*l**2. Calculate w(b(f)). 32*f**4 + 64*f**3 + 32*f**2 Let h(i) = i. Let r(y) = -5905*y**2. Determine h(r(z)). -5905*z**2 Let j(x) = 27*x. Let h(o) = 28*o. Let t(m) = -5*h(m) + 4*j(m). Let k(l) = 12*l. Determine t(k(f)). -384*f Let g(q) = -8*q + 3. Let l(p) be the second derivative of p**2/2 - 4*p. Let c(o) = g(o) - 3*l(o). Let r(z) be the first derivative of z**2 + 2. Give r(c(a)). -16*a Let l = 57 + -31. Let a(t) = 4 + 2 - 6 - l*t**2. Let d(i) = i. Give d(a(x)). -26*x**2 Let a(d) = -12*d - 4. Let q(n) = -n + 11. Let z be q(5). Let r(t) = 11*t + 3. Let i(u) = z*a(u) + 8*r(u). Let y(k) = -2*k**2. Give i(y(g)). -32*g**2 Let o(x) = 3*x. Let h(m) = m - 2. Let r(f) = -3*f + 5. Let j = -14 + 16. Suppose -2 = -n + j*n. Let a(k) = n*r(k) - 5*h(k). What is o(a(i))? 3*i Let d(v) = -2*v. Let w(f) = 205*f**2 - 2*f - 3. Give w(d(r)). 820*r**2 + 4*r - 3 Let f(l) = 2*l. Let z(n) = -13*n - 2321. Calculate z(f(g)). -26*g - 2321 Let b(y) be the second derivative of -y**6/360 - 8*y**3/3 - 24*y. Let d(v) be the second derivative of b(v). Let i(k) = 10*k. Determine i(d(z)). -10*z**2 Let r(a) = -2*a**2. Let z(o) = 9785390*o. Give z(r(n)). -19570780*n**2 Let p(j) = -6610*j + 19840*j - 6611*j - 6616*j. Let h(m) be the third derivative of -m**5/12 + m**2. Calculate h(p(n)). -45*n**2 Let a(f) = -58*f**2. Let u(r) = -42*r - 40*r - 2*r**2 + 82*r. What is u(a(d))? -6728*d**4 Let n = 25 + -23. Let y(j) = 0*j + 3 - n*j - 3. Let t(d) = 2*d**2 + 0*d**2 + 0*d**2. Give t(y(o)). 8*o**2 Let i(o) = 180*o**2 - 108. Let g(n) = -n**2. Calculate i(g(r)). 180*r**4 - 108 Let g(m) be the third derivative of m**5/60 - 2*m**2. Let k(s) = 379 + 3*s - 379. Calculate g(k(z)). 9*z**2 Let k(t) = 25*t - 11. Let c be (-4)/(-30) + 84/45. Let r(i) = -5*i + 2. Let h be 404/36 + 4/(-18). Let s(d) = c*k(d) + h*r(d). Let y(x) = -x**2. Give y(s(o)). -25*o**2 Let g(l) = -171062*l. Let x(y) = -y**2. What is g(x(h))? 171062*h**2 Let p(f) = 6*f + 5. Let n(x) = 5*x + 5 - 5 + 4. Let v = -179 - -174. Let q(w) = v*n(w) + 4*p(w). Let s(g) = 5*g. Give s(q(k)). -5*k Let a(j) = 9*j. Suppose 0 = -k + 4*r + 57, 4*k - 2*r = -5*r + 323. Let s(o) = k*o + 71*o - 147*o. Calculate a(s(f)). 9*f Let l(k) = k**2. Let m = 1511 + -1511. Let i(g) be the first derivative of -1/3*g**3 + 0*g - 5 + m*g**2. Determine i(l(c)). -c**4 Let w(i) = -i**2. Let a(n) be the second derivative of 7/6*n**3 - 7*n + 0 + 0*n**2. Determine w(a(u)). -49*u**2 Let p(d) = d - 1. Let a(k) = -5*k + 2. Let n(v) = -25*v + 9. Let c(o) = -22*a(o) + 4*n(o). Let z(r) = -c(r) + 8*p(r). Let u(w) = -32*w**2. Calculate u(z(q)). -128*q**2 Let x(k) be the third derivative of -k**5/12 + k**2 - 28. Let f(p) = 2*p**2 - 5*p + 5. Let t(u) = -u + 1. Let h(l) = -f(l) + 5*t(l). Give x(h(r)). -20*r**4 Let y(l) be the third derivative of -1/8*l**4 + 0*l**3 + 0*l + 0 + 8*l**2. Let v(d) be the third derivative of -d**5/60 + 2*d**2. What is v(y(b))? -9*b**2 Let g(q) = 2*q + 5. Suppose 2*x + o - 16 = 0, 5 = 4*x - 3*o - 7. Let j be g(x). Let a(n) = 17 + 4*n - j. Let y(t) = -t. Give y(a(f)). -4*f Let q(g) = -4*g. Let k(a) = 21094*a. Calculate q(k(h)). -84376*h Let w(y) = -11*y. Suppose 9 = 3*h, 0*i + 3*i + 6 = 4*h. Let z(m) = 0*m**2 - i*m**2 + 12*m - 12*m. Give w(z(p)). 22*p**2 Let f(d) = -4*d**2 + 6*d. Let p(n) = -11*n**2 + 17*n. Let s(k) = 17*f(k) - 6*p(k). Let t(g) = -1 + 3*g - 3*g + 3*g. Calculate s(t(r)). -18*r**2 + 12*r - 2 Let o(m) = -77*m**2 + 2. Let z(r) be the second derivative of r**3/2 - 3*r - 17. What is o(z(w))? -693*w**2 + 2 Let n(u) = -26*u**2 + 52*u - 104. Let w(m) = -m**2 + m - 2. Let d(g) = -n(g) + 52*w(g). Let c(h) = 2*h + 10 - 10. Give d(c(y)). -104*y**2 Let t(s) = 10*s**2. Let a(j) = 3*j**2. Let u(w) = -7*a(w) + 2*t(w). Let h(r) = 17*r**2 + 13. Let q(z) = -4*z**2 - 3. Let x(y) = 6*h(y) + 26*q(y). Give u(x(l)). -4*l**4 Let y(v) = 7*v - 9. Let t(q) = q - 505. Give t(y(j)). 7*j - 514 Let h(j) = -66. Let z(p) = -p**2 - 132. Let v(s) = -5*h(s) + 2*z(s). Let a(o) = -3*o**2. Calculate v(a(g)). -18*g**4 + 66 Let u(h) = -2*h. Let a(l) = l**2 - 31*l + 58. Let s be a(29). Let f(i) = s + 56*i - 1 - 54*i. What is f(u(m))? -4*m - 1 Let p(f) be the third derivative of -79*f**5/60 - 127*f**2. Let d(x) = 9*x. Give p(d(w)). -6399*w**2 Let i(l) = -2*l + 1976. Let q(n) = -2*n. Calculate i(q(b)). 4*b + 1976 Let o(v) = -600*v + 2. Let n(i) = 2*i - 2466. Calculate n(o(j)). -1200*j - 2462 Let z(s) be the first derivative of 0*s**2 + s**2 - 5*s**2 + 3*s**2 - 5. Let a(j) be the second derivative of 7*j**3/3 - 2*j. Determine a(z(p)). -28*p Suppose 2*c + 28 = 6*c. Let b(w) = c*w - w + 14*w. Let m(a) = 2*a**2. What is b(m(j))? 40*j**2 Let h(k) = -2*k**2. Let s = -5 - -5. Suppose 5*i - 3*i - 4 = s. Let q(y) = 6*y**i - y**2 - 6*y**2. Calculate h(q(c)). -2*c**4 Let y(h) = 89*h + 2. Let u(p) = 589*p**2. Give y(u(z)). 52421*z**2 + 2 Let z(g) = -403*g**2. Let r(c) = 460*c**2. Determine r(z(p)). 74708140*p**4 Let y(p) = -3*p**2. Let n(q) = 10*q**2 - 40*q - 491. What is n(y(h))? 90*h**4 + 120*h**2 - 491 Let c(g) = g**2. Let k(m) be the first derivative of 23*m**3/6 - 12*m - 39. Let s(u) be the first derivative of k(u). Determine c(s(t)). 529*t**2 Let u(g) = 2*g - 82147. Let l(r) = -2*r. Calculate l(u(a)). -4*a + 164294 Let t = 24 + -22. Let i(c) = t - 2 - 17*c**2 + 20*c**2. Let u(j) = 3*j. Give u(i(l)). 9*l**2 Let o(w) = -4*w**2. Let v(p) = 66*p - 32. Calculate o(v(z)). -17424*z**2 + 16896*z - 4096 Let m(b) = 2*b + 3. Let x(f) = -11*f - 17. Let v(w) = 34*m(w) + 6*x(w).
{ "pile_set_name": "DM Mathematics" }
one decimal place. 0.5 Let k = -203 + 106. Let p = -97.00123 - k. What is p rounded to three dps? -0.001 Let i = 677.0000005184 - 677. What is i rounded to 7 decimal places? 0.0000005 Let g = -348 + 325.81. What is g rounded to the nearest integer? -22 Let k = -380 - -380.314. Let o = k - 0.521. Round o to two decimal places. -0.21 Let m = 64961943.34000009 - 64961943. Let w = -0.34 + m. What is w rounded to 7 dps? 0.0000001 Let i = 13 + -11.8. Let x = i + -1.199968. What is x rounded to 5 dps? 0.00003 Let s = -76.49 - -68.281. What is s rounded to the nearest integer? -8 Let h = 43 + -4. Let f = h - 39.00019. Round f to four dps. -0.0002 Let d = 27 - -17. Let h = 44.000216 - d. What is h rounded to 5 dps? 0.00022 Let o(k) = 960000*k**3 + k**2 + k - 2. Let f be o(1). Round f to the nearest one hundred thousand. 1000000 Let x = 21.34 - 20.479. Round x to one dp. 0.9 Let c = 10165 + -10578.9. What is c rounded to the nearest ten? -410 Let b = -11397894 + 11397913.9263765. Let d = b + 186.0735365. Let m = d - 206. What is m rounded to five decimal places? -0.00009 Suppose -3*d + 125 + 36 = 2*g, d - 47 = -2*g. Suppose -d = -11*z - 3357. What is z rounded to the nearest 1000? 0 Let g = -0.463 + -0.067. Let o = g - -0.581. Round o to 2 decimal places. 0.05 Suppose -4*w - 11232000 = 23*w. What is w rounded to the nearest ten thousand? -420000 Let h = -1 + -3. Let y be 2100*(h + 836/(-6)). Round y to the nearest 10000. -300000 Let c = -2.4591 + 2.47. Round c to two dps. 0.01 Let g = -11.6 + 15. Let u = 62.6 + g. Let z = -65.9946 + u. What is z rounded to 3 dps? 0.005 Suppose -109*a - 176330000 = -116*a. What is a rounded to the nearest one hundred thousand? 25200000 Let h(a) = -a**2 - 2*a + 3330. Suppose 0 = -2*m - m + 2*k + 2, 2*k + 2 = m. Let w be h(m). Round w to the nearest one hundred. 3300 Let y = 5505 + -5504.999996117. What is y rounded to six decimal places? 0.000004 Let j(u) = 9*u**3 - 6*u**2 + 6*u - 1. Let a be j(9). Suppose 0 = -9*q + 3682 + a. Round q to the nearest one hundred. 1100 Let y = -128 - -129.71. Let r = -1.6973 + y. What is r rounded to 3 dps? 0.013 Let z = 66.10355766 + -0.10368966. Let s = z - 66. What is s rounded to 5 decimal places? -0.00013 Let f = 0.04247323952 - -44350.16145676048. Let r = f - 44350. Let k = -0.206 + r. What is k rounded to four decimal places? -0.0021 Let o = -2131 - -2132.261. Round o to one dp. 1.3 Let x = 46.6 + -46. Let t = -40154 + 40154.60002. Let s = t - x. Round s to 4 dps. 0 Let w = 13826 - 5884. Suppose 49516 = 4*x + 2*d + w, x - 2*d - 10401 = 0. Let m = x + -195. Round m to the nearest one thousand. 10000 Suppose -292*y = 3*w - 291*y - 393000, 0 = -3*y. Round w to the nearest one hundred thousand. 100000 Let y = -0.872999647 + 0.873. What is y rounded to 7 decimal places? 0.0000004 Let u = 12862041 - 8971324. Let c = u - 3890700.69921. Let x = 16.3 - c. What is x rounded to four dps? -0.0008 Suppose -30*w - 2*o - 474010 = -25*w, -4*w = -3*o + 379185. Round w to the nearest 10000. -90000 Let g = 27.87 + -28. Let a = g + 0.1264. What is a rounded to 3 dps? -0.004 Let h = -22.108906 - -22.11. What is h rounded to 4 dps? 0.0011 Let n = 231.9118 + -232. Round n to two decimal places. -0.09 Let o = 4404.93211305 - 4238.932117. Let v = -166 + o. Round v to seven decimal places. -0.000004 Let f = 105 + -103. Suppose -y = y - 360000. Suppose f*v = -0*v - y. What is v rounded to the nearest ten thousand? -90000 Let g(h) = 4*h - 58*h + 87*h + 67*h. Suppose -4*o = -7*o - 21. Let s be g(o). What is s rounded to the nearest 1000? -1000 Suppose -8 = 4*r - 56. Suppose r = -15*b + 11*b. Let o be -15*1/(b/22200). Round o to the nearest 10000. 110000 Let a = -218 + 225.395. Let s = 0.005 + a. Round s to the nearest integer. 7 Let m(p) = -78375*p**3 + 2*p**2 - 8. Let l be m(-2). What is l rounded to the nearest one hundred thousand? 600000 Suppose -51*w = -64*w - 29510. What is w rounded to the nearest one thousand? -2000 Let p be (192/40)/((-4)/(-3570000)). What is p rounded to the nearest 100000? 4300000 Let p be (60/18)/(4/6). Suppose 30 = 5*v - p*d, -2*d + 10 = 3*d. Suppose 3*u - 17985 = -3*r, 4*u - v*u = -5*r - 24025. Round u to the nearest 10000. 10000 Let o = 86 - 43. Let y = o - 94. What is y rounded to the nearest 10? -50 Let u = -115.76 + 123. Round u to one dp. 7.2 Let n be ((-684360)/(-14))/(-6)*(8 + -1). Let r = 29930 + n. Round r to the nearest one thousand. -27000 Let b = 21 + -27.76. What is b rounded to 1 dp? -6.8 Let q = -0.88 + 1. Let a = -1.79 + 1.9. Let x = q - a. What is x rounded to three dps? 0.01 Let d = 124 + -123.19. Let n = d - -53.19. Let h = -53.9999971 + n. What is h rounded to 6 decimal places? 0.000003 Let b(z) = -30303*z + 31. Let n be b(-23). Round n to the nearest ten thousand. 700000 Let h = 32.309 - 32.48627. Let d = -1.09297 - h. Let v = -0.92 - d. Round v to three dps. -0.004 Let l = 2268.00009808 + -2268. Round l to 5 decimal places. 0.0001 Let b = 321.1 + -308. Let u = 0 + 1.3. Let c = b - u. Round c to 0 dps. 12 Let j = 18253.5899768 + -18252.92. Let g = 0.67 - j. What is g rounded to 6 decimal places? 0.000023 Let h = 0.17621317 + 31228.98778683. Let n = 31158 - h. Let u = -71 - n. Round u to two dps. 0.16 Let i = -82.41 - -82. Let g = 0.15 + i. Let w = -0.25987 - g. Round w to 5 decimal places. 0.00013 Let x = -224.9999326 + 225. What is x rounded to 6 decimal places? 0.000067 Let g = -11.68 + 10.16. What is g rounded to zero dps? -2 Let k be 4328*(8 - -2)*-375. Round k to the nearest one hundred thousand. -16200000 Let a = 224 - 229.19. Let v = a + 0.09. Round v to zero dps. -5 Let a = -1.54 + -0.41. Let t = -1.95000298 - a. Round t to seven dps. -0.000003 Let m = -51.85 + -0.15. Let l = 4172376.99893 + -4172325. Let x = m + l. Round x to four dps. -0.0011 Suppose -46*d - 1158660 = -28*d. Round d to the nearest 10000. -60000 Suppose 3*t - 161576 = 30124. What is t rounded to the nearest ten thousand? 60000 Suppose -k + 6*k = 20. Let r be ((-7)/k)/((-3)/(-24)). Let l be (-4)/r - 2556/(-21). Round l to the nearest 10. 120 Let l(z) = -z**3 + 30*z**2 + 9*z - 47. Let m be l(19). Suppose -m = -2*a + 3225. Round a to the nearest one hundred. 3700 Let p = -180 - -300. Let a = -120.00575 + p. Round a to 3 decimal places. -0.006 Let c = 50195125 + -50195191.000002. Let s = c - -66. Round s to five decimal places. 0 Let n = 25160.85458 + 0.14542. Let r = 24678.21 - n. Let q = 485 + r. What is q rounded to one decimal place? 2.2 Let j be (-6)/(-48) + (-55)/(-8). Let o(t) be the second derivative of -133333*t**3/2 - 7*t**2/2 + 2*t. Let c be o(j). What is c rounded to the nearest 1000000? -3000000 Let d = 0.7631 - 0.7631004459. What is d rounded to seven decimal places? -0.0000004 Let g = 371 + -422.6. Round g to the nearest 10. -50 Let v = -232 + 231.623. Round v to 1 decimal place. -0.4 Let y = 6.6 - -4.4. Let q = -10.982 + y. What is q rounded to two dps? 0.02 Suppose 2*v = 4561281 + 967063. Let i = -674172 + v. Round i to the nearest 100000. 2100000 Let g be 320159931/276 + (-1)/(-4). Round g to the nearest 10000. 1160000 Let c = 42 + -30. Let k = 7.2 - 4.9. Let d = c - k. What is d rounded to the nearest integer? 10 Let v = -374.0402 - -0.0402. Let m = -324.4 - v. What is m rounded to the nearest integer? 50 Let x = 283.2944 - -0.6056. Round x to the nearest 10. 280 Let v = 77.4 - 77.402582. What is v rounded to four dps? -0.0026 Let a = 36.1 + -79.1. Let t = -2558.0463942 - -2515.0464. Let h = a - t. Round h to 6 decimal places. -0.000006 Let z = -753540.0011 + 753493. Let t = -47 - z. Round t to 3 decimal places. 0.001 Let r be -9*3/(-9) + 2772. Suppose r - 34775 = 5*n. Round n to the nearest one thousand. -6000 Let n = -0.0417644 + 0.0415. Round n to four decimal places. -0.0003 Suppose -2*p = 5*t - 3, 2*p - 7 = -6*t + 5*t. Suppose 0 = 4*b + p*u - 187996, 0 = -2*b + 5*b - 2*u - 141002. Round b to the nearest 10000. 50000 Let d be 2432*-225*500/3. Round d to the nearest 1000000. -91000000 Let h = 3923 - 3210.7. Let i = h - 679. What is i rounded to the nearest integer? 33 Let d = 404.227 - 5.527. Let y = 302.7 - -78.3. Let x = d - y. What is x rounded to 0 decimal places? 18 Let w = 52.4 - 52.400037. What is w rounded to 6 decimal places? -0.000037 Let x = 0.05651 -
{ "pile_set_name": "DM Mathematics" }
t j be 0 + (-1222)/(-39) + 4/6. Suppose -j*p - 90000 = -h*p. Round p to the nearest ten thousand. -30000 Let l = 101 - 59. Let q = -42.000048 + l. Round q to 5 decimal places. -0.00005 Let j = 28 - 28.0000212. What is j rounded to five decimal places? -0.00002 Let z = -47.942 + 48. Let a = 6.458 - z. What is a rounded to the nearest integer? 6 Suppose -2522730 = -b + 42*b. Round b to the nearest ten thousand. -60000 Let o = 1.21 + -1.2099308. Round o to five dps. 0.00007 Let v = 616.4 - 616.39995267. What is v rounded to 6 dps? 0.000047 Let i = 313.9999999226 + -314. What is i rounded to 7 decimal places? -0.0000001 Let y = -220 + 219.99998449. What is y rounded to six decimal places? -0.000016 Let t = -392 - -392.669. What is t rounded to one dp? 0.7 Let s = 224.000000489 + -224. What is s rounded to seven dps? 0.0000005 Suppose 0*k = 2*k - 6, -4*k - 31599988 = 5*g. What is g rounded to the nearest one million? -6000000 Let n = 0.126821 - 0.1278. Let m = n + 0.001. Round m to six dps. 0.000021 Let w = 1049 - 1511. Let r = w - -524.8. Round r to the nearest ten. 60 Let j(y) = -y**3 - 48*y**2 + 48*y - 61. Let a(q) = -q**3 - 72*q**2 + 72*q - 91. Let c(s) = 5*a(s) - 7*j(s). Let h be c(-18). Round h to the nearest 10000. -20000 Let d = 1179.95 + -1222. Let n = d - -27.94. Let g = n - -13. Round g to 1 dp. -1.1 Let y = 8677.000004299 + -8677. What is y rounded to seven dps? 0.0000043 Let q = 157.8198 - 157.2797756. Let c = q + -0.54. What is c rounded to six dps? 0.000024 Let p = 2920.00003659 + -2920. What is p rounded to 5 decimal places? 0.00004 Let q(f) be the second derivative of -f**3/6 - 3*f**2 - f. Let s be q(-7). Let h be (-30)/((1/2400)/s). What is h rounded to the nearest 10000? -70000 Let t = 3564 - 3562.559. What is t rounded to 1 decimal place? 1.4 Let d = 71.014 - 0.014. Let x = 67.5 - d. Round x to one decimal place. -3.5 Let p = 343.18 + -0.18. Let f = p - 342.9534. Round f to 3 dps. 0.047 Let f = 386.20005 + -386.3. Let g = 6.1 - 6. Let n = g + f. Round n to 5 decimal places. 0.00005 Let f = -22694 - -36965. Let j = -1389 - -9460. Let y = j - f. What is y rounded to the nearest one thousand? -6000 Let d(b) = b + 2. Let r be d(0). Suppose -r*f + 2*c + 19 = -f, -3*f + 3*c + 42 = 0. Let k be 68998/(-3) + (-6)/f. What is k rounded to the nearest 10000? -20000 Let w(m) = 130*m**3 + m**2 + 11*m - 4. Let d(p) = 65*p**3 + 5*p - 2. Let l(x) = 5*d(x) - 2*w(x). Let c be l(1). What is c rounded to the nearest 10? 60 Let m = -25517 + -29012. Suppose 4*d = 2*d - 377058. Let z = d - m. What is z rounded to the nearest ten thousand? -130000 Let t(c) = -c**3 - 17*c**2 + 49*c - 44. Let g be t(-21). What is g rounded to the nearest 100? 700 Let u = 60 - 137. Let s = 75.21 + u. Let g = -0.19 - s. Round g to the nearest integer. 2 Let u = -0.13 + 17.13. Let o = 2.55 + 15.2. Let h = u - o. What is h rounded to 1 dp? -0.8 Let k = 26.0000576 + -26. What is k rounded to 5 dps? 0.00006 Let a = 854419 + -854408.30114. Let i = -10.7 + a. What is i rounded to four decimal places? -0.0011 Let i = -38216 + 38215.73993. Let f = 1533.26 - 1533. Let u = i + f. Round u to 4 dps. -0.0001 Let j(n) = 1007*n - 5. Let r(z) = -336*z + 2. Let q(w) = 6*j(w) + 17*r(w). Let s be q(1). What is s rounded to the nearest ten? 330 Let g = 0.966 + -0.96598298. Round g to 6 decimal places. 0.000017 Let t(z) = 459366*z**2 - 5*z - 6. Let q be t(6). Suppose 5*g + 0*i - 5*i = q, -3 = 3*i. Suppose -3082573 - g = 3*r. What is r rounded to the nearest 100000? -2100000 Let x = 16.6 + -13. Let g = x - 5. Let a = -1.40013 - g. Round a to four dps. -0.0001 Let c = -0.015 + -3.085. Let i = -3.1001 - c. What is i rounded to four dps? -0.0001 Let z = 638671461385 - 638671640004.08999935. Let q = z - -178619. Let d = 0.09 + q. Round d to 7 decimal places. 0.0000007 Let c(p) = 29999*p**2 - 7*p - 6. Let u be c(-6). Let o = -222 - -235. Suppose 10*w = o*w - u. What is w rounded to the nearest one hundred thousand? 400000 Let f = 0.4480253 - 0.448. Round f to 6 decimal places. 0.000025 Let f = 421.01297 - 421. What is f rounded to 3 dps? 0.013 Let h = -49425383 + -1274617. Round h to the nearest 1000000. -51000000 Suppose l + 9 = -3*d, -3*l - 2*l + 15 = -5*d. Suppose i + 3 - 6 = l, 3*n - i + 318003 = 0. Round n to the nearest 10000. -110000 Let k = 402 - 257. Let u = 150.24 - k. What is u rounded to the nearest integer? 5 Let m be 2/(-6) + -20*4/(-24). Suppose -k + 7800000 = -m*p + 2*p, 3*k - 5*p = 23400000. What is k rounded to the nearest one million? 8000000 Let g = -0.14629 - -0.1337. What is g rounded to 3 decimal places? -0.013 Let h = 0.38 - 24.38. Let z = 6.5 + h. Let b = -5.4 - z. Round b to the nearest integer. 12 Suppose -o = 4*h + 16, -3*o + 2*h + 14 = -2*o. Suppose 8*u = 3*p + 4*u + 197, o*p + 5*u = -211. Round p to the nearest ten. -60 Let k = -3.5 - -18.5. Let n = 280389802.00000056 + -280389787. Let g = n - k. Round g to 7 decimal places. 0.0000006 Let y = 0.023 + -2.323. Let b = 2.300005 + y. Round b to five dps. 0.00001 Let g = 53 - 52.994. What is g rounded to two dps? 0.01 Suppose 0 = -2*d + 107352 + 520390. Let x = d + -610871. What is x rounded to the nearest ten thousand? -300000 Let y be (-1)/5 - 1321909866/670. What is y rounded to the nearest one hundred thousand? -2000000 Let c = -0.0807 - -0.1899. Round c to two dps. 0.11 Let s = 371 + -368.5. Round s to the nearest 10. 0 Let x = -77.39 + 77.0099. Round x to one dp. -0.4 Let p = -1599003 + 1115003. Round p to the nearest 100000. -500000 Suppose 3*a + 63431997 = -3*d, -4*d = -a - 23878619 + 2734615. Round a to the nearest one million. -21000000 Let r(p) = -2*p + 2. Let h be r(1). Suppose -5*u + 3 + 7 = h. Suppose 4*k + 2*n + 424 = -n, -5*n = -u*k - 238. Round k to the nearest 10. -110 Let i = 40.75 - 41. Let q = 0.250000026 + i. Round q to seven decimal places. 0 Let d = -0.04833 - -0.0462. Round d to 3 decimal places. -0.002 Let b = 0.1201 - -2.8499. Round b to 0 decimal places. 3 Let a(x) be the first derivative of x**4/4 - 4*x**3 + 9*x**2/2 + 5*x + 4. Let w be a(11). Let k = w - -21. What is k rounded to the nearest integer? 4 Suppose -3*c - 2*c + 5*f + 35 = 0, -2*f - 4 = -c. Let z = -22 + c. Let j = 22 - z. Round j to the nearest 10. 30 Suppose 0 = 3*p + 5*i - 5, p - i - 13 = 2. Suppose 6*g - p*g + 80000 = 0. What is g rounded to the nearest ten thousand? 20000 Let r = -207.75 + -6.65. Round r to the nearest ten. -210 Let s = 7846 - 2946. What is s rounded to the nearest 1000? 5000 Let f(g) = 1436*g**3 - 5*g**2 - 47*g + 14. Let j(i) = -4*i**3 + 3*i**2 - 2*i + 3. Let u be j(2). Let x be f(u). What is x rounded to the nearest 1000000? -13000000 Let t(g) be the first derivative of 221/2*g**2 - 4 + 3*g. Let k be t(-3). Round k to the nearest one hundred. -700 Let w = 0.01 + -0.067. Let k = -4.343 + w. Round k to the nearest integer. -4 Let o = 24232 - 12404. Let b = -11969.38 + o. Let w = -139 - b. What is w rounded to one dp? 2.4 Suppose 176*a - 23670 = 177*a. Round a to the nearest one thousand. -24000 Let u be 80/(-24)*((-117018)/30 + -3). What is u rounded to the nearest one thousand? 13000 Let m = 0.054012 - -0.336151. Let r = -30.61 - -31. Let q = r - m. Round q to 5 decimal places. -0.00016 Let m = -1.32 + 1.9. Let o = 0.58000068 - m. What is o rounded to seven decimal places? 0.0000007 Let r = 13387.6981709 + -13291.69818. Let n = r + -96. Round n to 6 decimal places. -0.000009 Let y = 30.981 + -31. Let c = y - -1.689. Round c to the nearest integer. 2 Let h = 5577592 + -5577597.899987. Let u = h + 5.9. What is u rounded to five decimal places? 0.00001 Let t = 95.65 + -95. What is t rounded to the nearest integer? 1 Let d be (50*36)/(150/167500). What is d rounded to the nearest one hundred thousand? 2000000 Let x = -8.5 + 9.78. What is x rounded to 1 dp? 1.3 Let u = -48 - -48.00000446. What is u rounded to 6 dps? 0.000004 Let d be (-1)/(3/(-13 - -4)). Suppose 5*w - 17 = d. Let s be -13202 - 4/w*-2. Round s to the nearest one thousand. -13000 Let a = -1217.50008551 - -1217.5. Round a to five dps. -0.00009 Suppose -3222486 = -19*r + 3399014. Round r to the nearest ten thousand. 350000 Let p be (0/1 - 6)*(-11)/11. Let a be ((-250 - -2) + (4 - p))*-136. What is a rounded to the nearest ten thousand? 30000 Let k =
{ "pile_set_name": "DM Mathematics" }
-17. Let n = 0.0376 - 0.0115. Let g = n - o. What is g rounded to 3 dps? 0.022 Let g = -2.2 + 7.7. Let p = 6811656.2000058 - 6811661.7. Let o = p + g. Round o to 6 decimal places. 0.000006 Let y = 45.038 + -45. Let c = 5.7006 - 0.1386. Let z = y + c. What is z rounded to the nearest integer? 6 Let q = -3992.71 - -3958.3447. Let l = -0.0653 - q. What is l rounded to zero dps? 34 Let h(x) = x**3 + 7*x**2 + 5*x - 3. Let u be h(-6). Let g be ((u + -3)/(-3))/1. Suppose w + 25998 = -m, -26008 = m - g*w - 4*w. Round m to the nearest 10000. -30000 Let b = -315.99737 + 316. Round b to three dps. 0.003 Let s = 12.65 + -12. Let w = -27.45 + s. Round w to the nearest integer. -27 Let u = 7.000165 - 7. Let z = 0 - u. What is z rounded to five dps? -0.00017 Let z = 45.5242 - 0.3942. Let k = z + -47.3. Round k to one dp. -2.2 Let j = -47 - -54. Suppose j*d - 440354 = 308646. What is d rounded to the nearest 10000? 110000 Let u = 48 + -46. Let l be 2/8 - (u - (-5640035)/(-20)). What is l rounded to the nearest ten thousand? 280000 Let p be (-2035827)/(-54) + (-2 - (-6)/4). Round p to the nearest 1000. 38000 Let k = -99889.53 + 101261. Let d = k - 1366. Let j = -0.17 + d. What is j rounded to zero decimal places? 5 Let j = -1857 + 1857.000001478. What is j rounded to 7 decimal places? 0.0000015 Let w = -32 - -29.84. Let v = -2.1 - w. What is v rounded to two dps? 0.06 Let u(p) = 6386*p**2 - 15*p + 14. Let y be 6/(-8)*(7 + 1). Let v be u(y). What is v rounded to the nearest 100000? 200000 Let m = -3215 - -1380. What is m rounded to the nearest one hundred? -1800 Let a = 3.1274 + -0.321. Round a to 1 dp. 2.8 Let q be (-35)/(-14)*(-6)/(-5). Let j(x) = 2*x**2 - 6*x + 5. Let h be j(q). Suppose 0 = -h*b + 149843 - 4843. What is b rounded to the nearest 10000? 30000 Let f = -131 - -218. Suppose 0 = -3*g - 141 + f. What is g rounded to the nearest 10? -20 Let g = -87 - -86.9704. Let f = -0.026 - g. What is f rounded to four dps? 0.0036 Let n = -710519 - 403481. Round n to the nearest 100000. -1100000 Let t = 790 + -781.675. Round t to 1 decimal place. 8.3 Let b = 10618233 + -10618255.0000048. Let i = b + 22. Round i to six dps. -0.000005 Let j = 0.161 + -0.1610421. What is j rounded to 6 dps? -0.000042 Let c = 240068916804.00000579 + -240068915709. Let p = -1095 + c. Round p to 6 dps. 0.000006 Suppose -u = 9*n - 4*n + 1308993, 0 = 5*u - 3*n + 6544993. Let l be u/7 + 8/(-28). Round l to the nearest 100000. -200000 Let w = 46 + -36. Let t = 10.068 - w. What is t rounded to two decimal places? 0.07 Let q = 129 + -129.00000141. Round q to six decimal places. -0.000001 Let l = 117356.5635 - 117397. Let r = -39.436515 - l. Let q = -1 + r. What is q rounded to 6 dps? -0.000015 Let d be ((-49)/(-7))/(-7)*(1 - 5). Suppose -1385045 = -d*g - 24945045. Round g to the nearest 100000. -5900000 Let a = -0.12798483 - -0.128. What is a rounded to 6 decimal places? 0.000015 Let c = 1.84 - 1.83776. What is c rounded to four decimal places? 0.0022 Let o = 8.910031 + -8.91. Round o to five dps. 0.00003 Suppose 0 = -3*a + 2988 - 516. Let w = a - 2670. Let f = 666 + w. Round f to the nearest one hundred. -1200 Let z = -216.06 + 341. Let k = 126 - z. Round k to 1 dp. 1.1 Let o = -27.5334181 + 18.9334134. Let t = -8.6 - o. Round t to six dps. 0.000005 Let b be (-1)/(-6) + (-2684)/(-24). Let v = b - -38. Let g be v/(409/(-406) + 1). Round g to the nearest one thousand. -20000 Let c(h) = h**2 + 5*h - 19. Let u be c(-8). Let l = -2 + u. Suppose 2*w + 0*g - g + 920000 = 0, 0 = l*g. Round w to the nearest one hundred thousand. -500000 Let i(s) = -s**3 + 7*s**2 + 10*s - 12. Let z be i(8). Suppose -3*y = 4*o + 4756, 4*y - 2952 + 9256 = z*o. What is y rounded to the nearest one hundred? -1600 Let k = -4898 + 4897.997717. Round k to three dps. -0.002 Let d = -28.43 + -0.57. Let i = 29.00000068 + d. What is i rounded to 7 dps? 0.0000007 Let k = -0.2 + 0.02. Let y = 4.8884 + -4.71. Let r = y + k. What is r rounded to 3 dps? -0.002 Let s = -3.27 + 3.2700056. Round s to five decimal places. 0.00001 Let v = 2.296 - 2.296001831. Round v to 7 decimal places. -0.0000018 Let y = 52.24 - -2.4. Let p = 0.64 - y. Let u = -46.9 - p. What is u rounded to zero decimal places? 7 Suppose 9*t = -3*t - 236772. Let n = -9131 - t. What is n rounded to the nearest one thousand? 11000 Let n = 42 - 49. Let f = n + 7.0000043. What is f rounded to six dps? 0.000004 Let z = 701.99999524 + -702. What is z rounded to seven decimal places? -0.0000048 Let l(h) = 45*h - 112. Let k be l(-19). Round k to the nearest 100. -1000 Let j = 20439.46 - 20762. Let m = 0.54 + j. Let s = m - -322.000171. Round s to 5 dps. 0.00017 Let g = -17 - -33. Let y = -15.5 + g. Let v = y + -0.566. Round v to 2 decimal places. -0.07 Let d = 400471 + 560329. What is d rounded to the nearest ten thousand? 960000 Let p(t) = 4*t + 6. Let c be p(-1). Suppose 2*w + 3*j - 21599999 = c*j, 5*w + 4*j - 53999996 = 0. Round w to the nearest 1000000. 11000000 Let b = 300.00000132 + -300. Round b to 6 decimal places. 0.000001 Let n = -45 - -50. Let y = n + -4.9999392. Round y to 5 decimal places. 0.00006 Let p = 63.989997381 - 63.99. What is p rounded to six dps? -0.000003 Let l = 28.08 + -0.08. Let n = -28.23 + l. Round n to 1 decimal place. -0.2 Let r = 67.924 - -0.076. Let i = -68.0000049 + r. What is i rounded to six decimal places? -0.000005 Let r = 531.9738 - -0.3262. What is r rounded to the nearest one hundred? 500 Let r = -7609 + 20439. Round r to the nearest 100. 12800 Suppose 0*z - 3*z + 6 = 0. Let q be ((-1)/1)/((-2)/10). Suppose 0 = q*f - z*f + 7200. What is f rounded to the nearest 1000? -2000 Let b = 0.3789 - 0.378903522. Round b to six dps. -0.000004 Suppose 215999 = 2*l + 2*l - p, 2*p + 107998 = 2*l. Suppose 0*n + 2*n - l = 0. What is n rounded to the nearest 10000? 30000 Let j(v) = 19255*v**2 + 5*v. Let f be j(4). What is f rounded to the nearest 10000? 310000 Let d = 897 + -859. Let y = -38.174727 - -0.173967. Let h = y + d. What is h rounded to 4 decimal places? -0.0008 Let t = -453.99064 - -454. Round t to 3 dps. 0.009 Let y(c) = -6*c + 7*c**2 + 6*c**2 + 30*c. Suppose 0 = 2*w + 9 + 11. Let m be y(w). What is m rounded to the nearest 100? 1100 Let q = -852 - 333. Let l = -717 - q. Suppose -5*z = h + 300, 5*z + 792 = -4*h - l. Round h to the nearest one hundred. -300 Let z = 1895388.01399853 + -1895388. Let g = -1.6 + 1.586. Let x = g + z. What is x rounded to 7 dps? -0.0000015 Let s = 31.56 + 0.44. Let z = 31.9 - s. Round z to two decimal places. -0.1 Let r = 85.28 - 95. Let z = 19.65 + r. Round z to 0 decimal places. 10 Let i(r) = 2*r**3 + 8*r**2 - 30*r - 8. Let z be i(-12). What is z rounded to the nearest 100? -2000 Let q = -32 + 3. Let t = -3 + q. Let c = t + 31.9981. What is c rounded to three decimal places? -0.002 Let k = 312.4 - 32.4. Let s = k - 279.9881. Round s to 3 dps. 0.012 Let y = -551 + 551.000051. What is y rounded to 5 decimal places? 0.00005 Let h(r) = -333*r - 25. Let g be h(2). Round g to the nearest one hundred. -700 Let c(v) = 372*v**2 + 7*v - 11. Let i be c(4). Let a = i - 3269. What is a rounded to the nearest 1000? 3000 Let o(g) = 340*g**2 - 5*g + 5. Let u be o(-11). What is u rounded to the nearest ten thousand? 40000 Let l = -1.08 - -1.0800145. Round l to six decimal places. 0.000015 Let j = -0.7 + 0.33. Let u = -2.492 - -2.16. Let i = j - u. Round i to two dps. -0.04 Let d = -6.3 + -29.7. Let z = d - -36.07. Let o = 0.041 - z. What is o rounded to two decimal places? -0.03 Let a = 0.007 - -27.993. Let g = 27.999935 - a. Let u = g - 0. What is u rounded to five dps? -0.00007 Suppose -5*b + 0 = -5. Let f = b - -1. Suppose 0 = 3*x + 6, 17400002 = -f*v - v - x. Round v to the nearest one million. -6000000 Let u = 3.9508 + -3.78. Round u to 1 dp. 0.2 Let w = 3.563 + -59.023. Round w to zero decimal places. -55 Let w = -35 - -75. Let g = 40.00128 - w. What is g rounded to 4 decimal places? 0.0013 Let n = 7 - 5. Suppose -n*p = -82644 - 223356. Suppose u = 4*u + p. Round u to the nearest 10000. -50000 Let k(a) = 183754*a**2 - 9*a - 5. Let c(i) = -183753*i**2 + 8*i + 4. Let p(b) = 5*c(b) + 4*k(b). Let z be p(-4). Round z to the nearest one hundred thousand. -2900000 Let w = 0.04 + -0.19. Let b = 1.8486561 + -1.69865643. Let
{ "pile_set_name": "DM Mathematics" }
ithout replacement from {x: 5, t: 8}. 5/39 What is prob of sequence kv when two letters picked without replacement from ttttvpattttktttvvv? 2/153 Two letters picked without replacement from tthtzttjjeettt. Give prob of sequence ee. 1/91 What is prob of sequence rf when two letters picked without replacement from vrvrf? 1/10 Calculate prob of sequence jss when three letters picked without replacement from ljjss. 1/15 Three letters picked without replacement from {y: 3, g: 1, b: 1, d: 5, p: 1, q: 2}. What is prob of sequence gyd? 5/572 Two letters picked without replacement from vfrpvfpfpnfffvfpv. Give prob of sequence nf. 7/272 What is prob of sequence yee when three letters picked without replacement from {e: 7, y: 3, t: 2, u: 8}? 7/380 Two letters picked without replacement from yynynpjyyynjnrnnnnn. What is prob of sequence jn? 1/19 What is prob of sequence noh when three letters picked without replacement from wwttohrn? 1/336 Four letters picked without replacement from {h: 1, r: 6, z: 2, f: 2}. Give prob of sequence zrfh. 1/330 What is prob of sequence lobl when four letters picked without replacement from {q: 4, b: 1, a: 4, l: 2, o: 9}? 1/6460 What is prob of sequence zzr when three letters picked without replacement from {r: 3, z: 2}? 1/10 What is prob of sequence mmbm when four letters picked without replacement from mmbbbmbmbmbm? 2/33 Calculate prob of sequence yi when two letters picked without replacement from iiyuyyyuyuuyyiiyiyy. 25/171 Three letters picked without replacement from vvsssvvvvvsvvvsvvvvv. Give prob of sequence ssv. 5/114 Three letters picked without replacement from {d: 1, t: 1, g: 4, z: 4, u: 3}. What is prob of sequence gtd? 1/429 Calculate prob of sequence lal when three letters picked without replacement from {l: 5, a: 2}. 4/21 Three letters picked without replacement from ksssdssssss. Give prob of sequence ssk. 4/55 Two letters picked without replacement from aazaaaaazaz. What is prob of sequence za? 12/55 What is prob of sequence ixi when three letters picked without replacement from {c: 11, i: 3, x: 4}? 1/204 Two letters picked without replacement from {p: 7, y: 9}. Give prob of sequence yy. 3/10 Calculate prob of sequence zz when two letters picked without replacement from zzzzzzzzz. 1 Three letters picked without replacement from {u: 2, m: 2, n: 4, f: 1, b: 1}. What is prob of sequence num? 1/45 What is prob of sequence nn when two letters picked without replacement from {j: 1, i: 2, r: 1, n: 3}? 1/7 Calculate prob of sequence go when two letters picked without replacement from egowewe. 1/42 Two letters picked without replacement from {h: 9, v: 2, w: 5, x: 3}. Give prob of sequence wx. 5/114 Two letters picked without replacement from {x: 4, f: 6, s: 6, b: 3}. What is prob of sequence sf? 2/19 Three letters picked without replacement from yjyyjjyy. What is prob of sequence jyy? 5/28 Three letters picked without replacement from {t: 1, k: 2, u: 1, f: 1, c: 2, o: 1}. Give prob of sequence cft. 1/168 Three letters picked without replacement from {z: 3, y: 1, g: 10, p: 2}. Give prob of sequence zpp. 1/560 Three letters picked without replacement from {t: 14, n: 4}. What is prob of sequence tnt? 91/612 Two letters picked without replacement from {i: 8, y: 4, h: 2, z: 1}. Give prob of sequence hh. 1/105 Two letters picked without replacement from {p: 1, v: 2, d: 1, e: 1, g: 2}. Give prob of sequence eg. 1/21 Calculate prob of sequence sv when two letters picked without replacement from {s: 11, v: 2}. 11/78 Calculate prob of sequence ucu when three letters picked without replacement from {u: 2, n: 2, c: 11}. 11/1365 What is prob of sequence ii when two letters picked without replacement from {g: 6, i: 4, m: 1}? 6/55 Two letters picked without replacement from {t: 6, j: 6, s: 7}. Give prob of sequence jt. 2/19 Two letters picked without replacement from {z: 4, s: 1, f: 3}. What is prob of sequence zs? 1/14 Calculate prob of sequence dcdd when four letters picked without replacement from {d: 4, c: 2}. 2/15 Three letters picked without replacement from {p: 2, r: 8, m: 3, z: 7}. What is prob of sequence rmp? 2/285 What is prob of sequence qm when two letters picked without replacement from {r: 2, y: 5, i: 1, d: 3, m: 6, q: 2}? 2/57 Four letters picked without replacement from {t: 2, z: 3, l: 1, k: 2, j: 3, b: 1}. What is prob of sequence tbkj? 1/990 Two letters picked without replacement from {i: 2, z: 2, b: 1, j: 1, e: 1, q: 1}. What is prob of sequence qz? 1/28 Calculate prob of sequence xxx when three letters picked without replacement from xxlxxlxxxxxxxxxxxx. 35/51 Two letters picked without replacement from kuhkuuhhukkuhkunkj. What is prob of sequence hk? 4/51 Two letters picked without replacement from {e: 3, r: 4, b: 1, j: 3}. Give prob of sequence rr. 6/55 Three letters picked without replacement from qqiqxxtxixxgtx. Give prob of sequence ttq. 1/364 Calculate prob of sequence ene when three letters picked without replacement from {e: 7, n: 5}. 7/44 Four letters picked without replacement from pppppccccpccc. What is prob of sequence ppcp? 7/143 Two letters picked without replacement from {v: 2, g: 10}. What is prob of sequence gv? 5/33 Calculate prob of sequence ejje when four letters picked without replacement from logjjee. 1/210 What is prob of sequence mmm when three letters picked without replacement from {x: 12, m: 7}? 35/969 Three letters picked without replacement from {s: 2, c: 1, u: 10, p: 2, w: 1, f: 3}. Give prob of sequence scs. 1/2907 Three letters picked without replacement from {l: 10, v: 10}. Give prob of sequence lvv. 5/38 Two letters picked without replacement from {i: 2, x: 5, v: 6}. Give prob of sequence vv. 5/26 What is prob of sequence wxgj when four letters picked without replacement from ggjxjwxgw? 1/126 Three letters picked without replacement from eeeeeeeeee. Give prob of sequence eee. 1 Four letters picked without replacement from jmkzmajjzjjz. What is prob of sequence jjjj? 1/99 What is prob of sequence dyy when three letters picked without replacement from {y: 14, d: 4}? 91/612 Four letters picked without replacement from lnnnullnnlnlnln. What is prob of sequence llnn? 2/39 Four letters picked without replacement from {w: 3, d: 3, m: 7}. Give prob of sequence dmwd. 21/2860 Calculate prob of sequence xxc when three letters picked without replacement from {c: 13, x: 2, t: 5}. 13/3420 Four letters picked without replacement from hhllhhl. What is prob of sequence hhhl? 3/35 Three letters picked without replacement from {a: 3, g: 1, e: 1, w: 4, r: 2}. Give prob of sequence eaa. 1/165 Three letters picked without replacement from zkiziizzzkiilzzz. What is prob of sequence zkk? 1/210 Calculate prob of sequence yyxp when four letters picked without replacement from {y: 4, p: 4, g: 2, x: 2, w: 2}. 4/1001 Three letters picked without replacement from rrrrrllrrrrlrr. Give prob of sequence rrr. 165/364 Three letters picked without replacement from {v: 1, t: 1, i: 2, z: 9, b: 1, y: 1}. Give prob of sequence bti. 1/1365 What is prob of sequence zzzu when four letters picked without replacement from {z: 7, u: 1}? 1/8 Three letters picked without replacement from bbyuulylqqbblqbybbul. Give prob of sequence lll. 1/285 What is prob of sequence uunn when four letters picked without replacement from {n: 5, u: 3}? 1/14 Two letters picked without replacement from nrrayrynnu. What is prob of sequence ur? 1/30 Two letters picked without replacement from nnjssygjnywj. What is prob of sequence jj? 1/22 What is prob of sequence lrlr when four letters picked without replacement from {r: 2, l: 5}? 1/21 Calculate prob of sequence ar when two letters picked without replacement from rrrarrarrrr. 9/55 What is prob of sequence ii when two letters picked without replacement from piib? 1/6 Three letters picked without replacement from ffpp. Give prob of sequence ffp. 1/6 Calculate prob of sequence obhv when four letters picked without replacement from {a: 3, v: 5, b: 7, o: 3, h: 2}. 7/3876 Four letters picked without replacement from dddddvmtdvt. Give prob of sequence dmvd. 1/132 What is prob of sequence zx when two letters picked without replacement from xaxaazza? 1/14 Two letters picked without replacement from jd
{ "pile_set_name": "DM Mathematics" }
o? 88*o**3 - 15*o**2 - 2187 What is the second derivative of -40*g*q**5 + 32051*g*q - 10*g + 1123*q**3 + 2*q**2 wrt q? -800*g*q**3 + 6738*q + 4 Find the first derivative of -9*v**4 - 2*v**3 + 7639*v + 349419 wrt v. -36*v**3 - 6*v**2 + 7639 Differentiate 125438*u**2*v + 106515*u**2 with respect to v. 125438*u**2 What is the first derivative of 2*r**3*u - r**2*u - 3*r**2 + 25*r + 262378*u wrt r? 6*r**2*u - 2*r*u - 6*r + 25 Find the second derivative of -53*a**2*r**2 - 109*a**2*r - 501*a*r**2 - a*r - 12*a - 7*r wrt r. -106*a**2 - 1002*a Find the first derivative of 2*m**3*o - 119981*m**3 + 155162*m*o wrt o. 2*m**3 + 155162*m Find the first derivative of -417499*y**3*z**2 - 156*z**2 + 1881*z wrt y. -1252497*y**2*z**2 What is the second derivative of 3227*c**2*r - 8*c**2 - 79*c*r - 5*c + 3*r wrt c? 6454*r - 16 What is the third derivative of -11640*k**3*q**2 + 2*k**3*q + 2*k**3 + k**2*q**2 + 2475*k**2 - 2*k*q + 13*q**2 wrt k? -69840*q**2 + 12*q + 12 Find the first derivative of -3*u**4 + 30*u**2*z + 296*u + 107053*z wrt u. -12*u**3 + 60*u*z + 296 What is the second derivative of 2*p*s**3 + 5*p*s - p - s**3 - 15507*s**2 + 407*s wrt s? 12*p*s - 6*s - 31014 Find the third derivative of 43889*a**4 - 36*a**2 - a + 112. 1053336*a Find the second derivative of 11438*w*z**2 - 48*w*z - 596*w wrt z. 22876*w Find the third derivative of 21958*n**3*t - 31916*n**2 + 2*n*t - 3*t wrt n. 131748*t Find the second derivative of -c*h**2 - 4*c*h + c - 107962*h**2 - 463*h + 74 wrt h. -2*c - 215924 Differentiate -1615529*j**4 + 950366 with respect to j. -6462116*j**3 What is the derivative of 75411*f*j**2 + 4*f*j + 2346797*f + 3*j**2 wrt j? 150822*f*j + 4*f + 6*j Find the second derivative of -1055*k**4 - 9*k**3 - 2*k**2 - 52905*k. -12660*k**2 - 54*k - 4 Differentiate -2*b**2*p + 22805*b*p**3 - 2*b*p - 2*p**3 + 2862*p**2 with respect to b. -4*b*p + 22805*p**3 - 2*p Find the second derivative of -932*t**3*w**2 + 8*t**2*w**3 - t*w**2 + 2*t + 3*w**3 - 3933*w**2 wrt t. -5592*t*w**2 + 16*w**3 What is the third derivative of -1846216*o**5 + 333*o**2 + 2676 wrt o? -110772960*o**2 Find the second derivative of -175*k**5 + 101*k**3 + 42322*k. -3500*k**3 + 606*k Differentiate 144062*a**3*b**2 - 48426*a**3*t - 6*a**2*b**2*t wrt t. -48426*a**3 - 6*a**2*b**2 What is the second derivative of 31*u**5 - u**3 - 57*u**2 + 8859*u + 3? 620*u**3 - 6*u - 114 What is the third derivative of -2*f*u**4 + 64*f*u**3 + 452*f*u**2 + f*u - 7*u**4 + 7*u**3 + 28*u**2 wrt u? -48*f*u + 384*f - 168*u + 42 Find the first derivative of 18*z**4 - 590*z**3 - 2*z**2 - 317343. 72*z**3 - 1770*z**2 - 4*z What is the second derivative of -7034*g**2*n**3 - g*n**3 - 2*g*n + 7576*n**3 wrt g? -14068*n**3 What is the third derivative of -g*v**4 + 357*g*v**3 + 24728*g*v**2 + 298*v**4 + 7*v wrt v? -24*g*v + 2142*g + 7152*v What is the third derivative of -5*p**4 + 7921*p**3 - 293324*p**2? -120*p + 47526 What is the third derivative of -134961*o**4 + 110646*o**2 - 2*o? -3239064*o Differentiate -33613*b + 80498. -33613 What is the second derivative of 57*d**3*t + 7*d**3 + 4*d**2 - 3*d*t + 5*d + 2*t + 6689 wrt d? 342*d*t + 42*d + 8 What is the third derivative of -2964610*t**2*y**6 - 2*t**2*y + 345388*t + 6*y**2 wrt y? -355753200*t**2*y**3 Find the third derivative of 6*f**2*z**5 + 6121*f**2*z**3 + 187*f**2*z**2 - 5*f**2*z - 2*f*z**2 - f*z + 4*z**2 wrt z. 360*f**2*z**2 + 36726*f**2 Find the third derivative of 5587*i*r**3 + 15*i*r**2 - 2*i*r + 5*i + 11*r**3 - 59*r**2 wrt r. 33522*i + 66 Find the second derivative of -p**3*t - 3454*p**2*t - 2*p**2 - 45000*p*t - 2*p wrt p. -6*p*t - 6908*t - 4 Differentiate 11*f*k**3*x + 4*f*k**3 - f*x**3 + 1066*k**3*x**3 - 10*k**2*x**3 wrt f. 11*k**3*x + 4*k**3 - x**3 What is the second derivative of n*v**3 + 5522*n*v**2 - 3*n - 4*v**2 + 18870*v wrt v? 6*n*v + 11044*n - 8 Find the third derivative of 9676*i**5 + 4*i**4 - 12*i**2 - 257. 580560*i**2 + 96*i What is the third derivative of 8645*k**3*s**3*x**3 - 9*k**3*s**2*x**2 + 30*k**2*s**3*x**3 + k**2*s**3*x - 7*k**2*s**2*x**2 - 20*k*s*x wrt k? 51870*s**3*x**3 - 54*s**2*x**2 What is the third derivative of -2*u*v**4 - 302330*u*v**3 + 942601*u - 2*v**2 - 1 wrt v? -48*u*v - 1813980*u What is the second derivative of -114854*b**2 - 20*b + 1131? -229708 What is the second derivative of -8520*o**4 + 97*o**2 - 1727853*o? -102240*o**2 + 194 Find the second derivative of 2953594*f**2 + 1398786*f wrt f. 5907188 Differentiate -666058*d + 6060353. -666058 Find the second derivative of 3*h*j**2 + 47*h*j - 2*h + 144721*j**2 + 7*j + 6 wrt j. 6*h + 289442 Differentiate 854*g**3 + 130*g*l - 2*g + 1034653*l with respect to g. 2562*g**2 + 130*l - 2 What is the third derivative of -20*i**5 - 2786*i**3 + 102*i**2 - 683*i? -1200*i**2 - 16716 Find the second derivative of -578300*f**4 - 1000380*f wrt f. -6939600*f**2 What is the second derivative of 431*y**4 + 12*y**3 + 4*y**2 - 71956*y wrt y? 5172*y**2 + 72*y + 8 What is the first derivative of -345*v*w**2 + 440401*v + 311*w**3 wrt w? -690*v*w + 933*w**2 Find the second derivative of -160*l*m**4*p + 2*l*m**2 + 2*l*m*p + 2*l*m - 604*l*p - 4*l - 519*m**2*p - 2*m*p - p wrt m. -1920*l*m**2*p + 4*l - 1038*p What is the second derivative of -4072*b**5 + 23041*b - 2? -81440*b**3 Find the second derivative of 2307373*l**2*w**4 - 2772062*l**2*w + 2*l*w wrt w. 27688476*l**2*w**2 What is the derivative of 19*a*k**2*n**2 + 92904*a*n**3 - 6*k**2*n**3 - k**2*n**2 - 2*k**2*n - 1295*n**2 - n wrt a? 19*k**2*n**2 + 92904*n**3 What is the derivative of 1810706*m**2 + 1668558? 3621412*m What is the third derivative of -8*n**5 - 324*n**3 + 196134*n**2 wrt n? -480*n**2 - 1944 What is the first derivative of -101802*k**4 - 1357471? -407208*k**3 What is the third derivative of -81*f**4*k**3 - 95*f**4*k**2 + 2*f**2*k**3 - 2*f**2*k**2 - 17*f**2*k + 88*k**2 wrt f? -1944*f*k**3 - 2280*f*k**2 Find the first derivative of -g**2 + 9444*g + 65384 wrt g. -2*g + 9444 What is the second derivative of 109150*m**2 + 1157*m + 1 wrt m? 218300 Find the second derivative of 2122372*q**2*w + 14887*q + 49*w wrt q. 4244744*w Find the second derivative of -45811*k**3 - 4085*k. -274866*k Find the first derivative of -131*m**3*n**2 + 28*m**3*n + 16110*m**3 + 2*m wrt n. -262*m**3*n + 28*m**3 Find the first derivative of -1723164*d - 2050781 wrt d. -1723164 Find the second derivative of 128*a**5*f - 9*a**3*f**2 + 4*a**2 - 4*a*f**2 - 2*a*f - 754*a wrt a. 2560*a**3*f - 54*a*f**2 + 8 Find the second derivative of -96306*b**2*l + 5*b**2*t**3 - 4*b*l*t + 77*b*t - 5*t**3 wrt b. -192612*l + 10*t**3 What is the derivative of -30*d**2 + 147*d*p**2 + 210*p**2 - 41*p wrt d? -60*d + 147*p**2 What is the second derivative of 175049*u**3 + 124934*u + 1? 1050294*u Find the first derivative of 1186553*q*r - 1898268*q wrt r. 1186553*q Differentiate -72037*s**2 - 70617. -144074*s Find the third derivative of a**3*k*w**2*z + 7*a**3*k - 53*a**3*w*z - 2*a**2*k*w**2 + 2*a**2*k*w*z + 9*a**2*k + 242*a**2 + k*w**2*z - k*w - 4*w**2*z wrt a. 6*k*w**2*z + 42*k - 318*w*z Find the first derivative of -1157143*k**4 + 1157216 wrt k. -4628572*k**3 Find the first derivative of -j**2*x**2 - 123653*j**2 + 19367*x + 5 wrt x. -2*j**2*x + 19367 Find the third derivative of -2070463*x**4 + 586606*x**2 wrt x. -49691112*x Find the second derivative of r**2*w**2 - 5*r**2 - 417*r*w - 2*r - 148256*w**2 - 2*w - 1 wrt w. 2*r**2 - 296512 Differentiate -7*m*s*u**3 - 27215*m*u**2 - 3*s*u - s + 71903*u**3 with respect to m. -7*s*u**3 - 27215*u**2 What is the second derivative of u**4 + 1113374*u**2*v - 217*u*v + u + 3*v - 90 wrt u? 12*u**2 + 2226748*v What is the second derivative of -13500*r**3 + 6580*r? -81000*r Find the third derivative of -34*t**3*z**2 - 161*t**3 + 4*t**2*z**2 - 2*t**2 - 154*t*z**2 - 3*t*z wrt t. -204*z**2 - 966 Find the third derivative of -1724552*x**3 - 4*x**2 + 20*x + 2229. -10347312 What is the first derivative of -4341190*t**2 - 782424? -8682380*t Find the second derivative of 1078*b**3*k**2 + 2*b**3*k - 37*b**3 + 2*b**2*k + 51*b*k - 14*k**2 + 2*k wrt k. 2156*b**3 - 28 Find the third derivative of q**5 + q**4 - 1449*q**3 + 3549*q**2 - 2*q + 35. 60*q**2 + 24*q - 8694 Find the first derivative of 5*h*q**2*z - 132*h*q*z**2 - 874*h - 38*q**2*z + 53*q**2 - 1 wrt z. 5*h*q**2 - 264*h*q
{ "pile_set_name": "DM Mathematics" }
decimal place? 38.2 Let w = -394.809 + 395. Let r = -0.2754 + w. Round r to 3 dps. -0.084 Let i = -8693.00003405 - -8693. Round i to 5 dps. -0.00003 Let b = -105.71 - 1.09. Let w = -106.7997724 - b. Round w to 5 decimal places. 0.00023 Let w = -8.11 + -725.89. Let f = 702.9 + w. Round f to 0 decimal places. -31 Let c be ((-10)/6)/(1 - 8/6). Suppose -24 + 2574 = c*l. Suppose -6*q = -q + l. Round q to the nearest ten. -100 Let q = -207456.3455 - -206560.346141. Let i = 896 + q. What is i rounded to 5 dps? 0.00064 Let s be 234/(-12) + 22 - (0 - 2/(-4)). Let r be -4*(3/2 + -2). Suppose -6 = r*o - s. What is o rounded to the nearest 10? 0 Let s = 341.8 + 368. Let v = s - 801. What is v rounded to the nearest ten? -90 Let b = -19.1561 - -2.4779. Let k = 151.7 + -135. Let z = k + b. What is z rounded to three decimal places? 0.022 Let a = 0.030394608 - 0.03038. Round a to 6 decimal places. 0.000015 Let k = -0.035 + 0.325. Let q = k - 68.09. Let j = q - -69. What is j rounded to one dp? 1.2 Let m = 9969.9 + -9964.1819. What is m rounded to the nearest integer? 6 Let z(f) = -3*f**2 + 21*f + 10. Let d be z(7). Let c = -7 + d. Let k be (c*3)/(1 - 0). What is k rounded to the nearest 10? 10 Suppose 170736 = 9*y - 10*y - 2*r, -r + 682935 = -4*y. Round y to the nearest ten thousand. -170000 Let h(s) = s**2 + 7*s - 104. Let u be h(8). Let o(x) = -14*x**2 + 14*x + 62. Let c be o(u). What is c rounded to the nearest 100? -3300 Let b = -984.565 + 984. Let t = -91.935 + b. What is t rounded to the nearest 10? -90 Let j = -165.86 - -164. Let q = j + 1.682. What is q rounded to 2 decimal places? -0.18 Let m = -0.687 - 637.313. Let i = -638.000291 - m. Round i to five dps. -0.00029 Let u = -44326.28579 - -44326. Round u to 3 dps. -0.286 Let y = 5899 + -5899.001418. Round y to 4 dps. -0.0014 Let r = 92.7742 + -92.6. Let s = r + -98.8742. Round s to the nearest 10. -100 Let j = -6886 - -6885.9995277. What is j rounded to four dps? -0.0005 Let y = 2666442064 - 1760096080. Let l = y + -906345880.0000034. Let c = l + -104. Round c to 6 decimal places. -0.000003 Let o = -1141.04152 + 1141. Round o to two decimal places. -0.04 Let g = 20.8 - 20.8. Let n = 11.3 - g. What is n rounded to the nearest integer? 11 Let o = 0.13 - 0.139. Let m = -833.6 + 833.609033. Let v = o + m. Round v to 4 dps. 0 Suppose 314*s - 316*s = i + 68438001, 171095003 = -5*s - 3*i. What is s rounded to the nearest 100000? -34200000 Let u = 0.0204 + 4.0366. Let t = u - -0.253. What is t rounded to one dp? 4.3 Let o = 134 + -95. Let b be 15/(-195) - (-335400003)/o. What is b rounded to the nearest one hundred thousand? 8600000 Let l = -172.2144 + 172. Let r = 434 + -433.78. Let k = r + l. Round k to 3 dps. 0.006 Let a(p) = -25*p**3 + 5*p**2 + 12*p - 20. Suppose -83 = -11*c + 5. Let w be c*(4 + 7/(-2)) + 6. Let s be a(w). What is s rounded to the nearest one thousand? -24000 Suppose 20*w - 74880320 = 22*w. Let l = w + 14116159. Let y = 86024001 + l. What is y rounded to the nearest one million? 63000000 Let y = 32766 - 32765.99894555. Round y to five dps. 0.00105 Let n = -100 + 100. Let j be (n - 1) + 393708/28. Round j to the nearest one thousand. 14000 Let x = -144636674 - -285676674. Round x to the nearest 1000000. 141000000 Let s(l) = 22*l + 21. Let p be s(-1). Let t be p + -3 - (24/(-4) - 185398). What is t rounded to the nearest 10000? 190000 Let w be (-2)/4 + (-190131)/6. Suppose 4*x + 5*f + 82752 = 9*f, -4*x - 82758 = 2*f. Let k = x - w. What is k rounded to the nearest 100000? 0 Let b = 39571.20363 - 39578.3. Let w = b - -7.09. What is w rounded to 3 dps? -0.006 Let n = -74.88 + -1.73. Let u = -739 + 815. Let t = n + u. Round t to 1 dp. -0.6 Let d = -6364 - -6364.00295. Round d to four dps. 0.003 Let i = 2.9 + -2.24. Let a = i - 40.66. Let k = a - -39.9999816. What is k rounded to 6 decimal places? -0.000018 Let u = 25914 + -26022.03. Round u to the nearest ten. -110 Let n = -62 + 11. Let i = n - -49.937. What is i rounded to one decimal place? -1.1 Let v = 1145624183 - 1145624322.0000598. Let g = v + 139. What is g rounded to 5 decimal places? -0.00006 Let v = 8085 + -7883.3. Round v to the nearest ten. 200 Suppose t + t = 0. Let j(z) = -351564*z**3 - 7 + 7*z**2 + t + 7 - 4*z. Let h be j(4). Round h to the nearest one million. -23000000 Let c = 3904092 + -3904087.899078. Let o = -4.1 + c. Round o to 4 dps. 0.0009 Let o = -12861 + 10570.2. Round o to the nearest ten. -2290 Let m(x) = -151351*x**2 - 352*x + 15. Let w be m(-5). Round w to the nearest 1000000. -4000000 Suppose 0 = m + 4*z + 48367, 0*m - 4*m = -5*z + 193384. Let h = 95391 + m. Suppose 0*d = -7*d + h. What is d rounded to the nearest one thousand? 7000 Let p = 55.5534 - 7.3404. What is p rounded to 1 dp? 48.2 Let d = 908 + -713.2. Let j = 277 - d. What is j rounded to the nearest 10? 80 Let z = -16604210178529 - -16604210171570.999996099. Let r = z - -6958. What is r rounded to seven decimal places? -0.0000039 Let w = 7579.4 - 8537. Round w to the nearest 10. -960 Let j = 0.2004982689363 - 3667.2004944709363. Let h = j + 3667. Round h to 7 decimal places. 0.0000038 Let p = -8870743751.00002128 - -8870744321. Let a = p - 570. Round a to six dps. -0.000021 Let x = -16087.05657 + 15774.058. Let g = x - -313. Round g to four dps. 0.0014 Suppose 256*n = 3*q + 260*n - 9992, 5*n + 13302 = 4*q. Round q to the nearest one hundred. 3300 Let u = -276204.3212 + 276260. Let r = 55.7 - u. What is r rounded to 3 decimal places? 0.021 Suppose 15*w - 3543135 = -11*w + 658465. Round w to the nearest 1000. 162000 Let h = -79.6471 - -0.0471. Let k = h - 2.4. Let v = k - -81.99908. Round v to 4 dps. -0.0009 Let z = -9.204 - -9.204389. What is z rounded to three decimal places? 0 Let p = -59.833 + 59.797641. Round p to 2 dps. -0.04 Let u = 66557 - 66557.0000108596. What is u rounded to six decimal places? -0.000011 Let p = 2603.9996502 + -2604. What is p rounded to 5 dps? -0.00035 Let w = 54230 + -54229.9999975407. What is w rounded to seven dps? 0.0000025 Let d = -0.129 + 83.129. Let n = -84.375 + d. Let z = n + 1.05. What is z rounded to 2 dps? -0.33 Let f be 2/(-16)*2 - (-313876788)/(-48). Round f to the nearest one hundred thousand. -6500000 Let m = -132.589986386 - -132.59. What is m rounded to 6 decimal places? 0.000014 Let t = -39.5995 - -17.167. Let g = -9.4371 - t. Let l = -13 + g. What is l rounded to three dps? -0.005 Let i = -6800 + 4844. Suppose -1585 = 3*u - 5653. Let m = i + u. Round m to the nearest one thousand. -1000 Let l(b) = -153*b - 79. Let d be l(-8). Let p = d - 2012. Round p to the nearest 10. -870 Let a = 33346 + -12389. Let h = a + -9046. Let y = h + 168089. What is y rounded to the nearest one hundred thousand? 200000 Let d = -1.919 + -84.781. Let c = 86.699999069 + d. What is c rounded to 7 dps? -0.0000009 Let k(c) = 45403*c - 2162. Let a be k(24). Round a to the nearest 1000. 1088000 Let j = -35.64 + 35.6734. What is j rounded to two decimal places? 0.03 Let u = 30.952 - -0.048. Let o = u + 2. Let f = -32.943 + o. What is f rounded to 2 dps? 0.06 Let x = -0.020179 - 2618.279821. What is x rounded to the nearest one hundred? -2600 Let a = 0.0327939 - 0.033. What is a rounded to four decimal places? -0.0002 Let o = 378.68106223 - 379.17106. Let v = o + 0.49. What is v rounded to six dps? 0.000002 Let z = -158.06 - -2.06. Let n = z + 156.174. Let r = 5.384 - n. What is r rounded to the nearest integer? 5 Let f(v) = -325*v - 8. Let t(k) = k**2 + 4*k - 9. Let n be t(-6). Suppose -p + n*p + 4 = 0. Let j be f(p). Round j to the nearest one hundred. 600 Let b(c) = -128*c + 10. Let x be b(-7). Let k = x - 16746. Round k to the nearest one thousand. -16000 Suppose 13*a - 5*c - 10712385 = 10*a, 3 = c. What is a rounded to the nearest one hundred thousand? 3600000 Let y = 457517 - 824756. Let m = -99066 - -212305. Let h = y + m. What is h rounded to the nearest 10000? -250000 Suppose 8*n - 4*l + 16287976 = 16*n, -5*n + 5*l + 10180030 = 0. Round n to the nearest ten thousand. 2040000 Let j = -12099.3543 + 12102. Let u = -17177 + 17174.37. Let h = j + u. Round h to three decimal places. 0.016 Let f = 9.6025 + 0.2005. Round f to 1 dp. 9.8 Let z(l) = 43*l**2 + 51*l - 123. Let d be z(3). What is d rounded to the nearest 100? 400 Let v
{ "pile_set_name": "DM Mathematics" }
3*c + g*s. What is the closest to -1 in c, 0.5, 2/9? c Let h = -2 + 2. Suppose h*i + i = -24. Let s = -71/3 - i. What is the nearest to s in -0.4, -1, 0? 0 Let t = -9 - -12. Let k = -4.7 - -5. What is the closest to k in 0.4, t, 1/8? 0.4 Let i = 2.6 - 3. Let n = 7 - 6.85. Let t = n + -0.25. Which is the nearest to t? (a) i (b) 3/5 (c) 3 a Suppose -4*l + 4*j + 24 = 0, -2*l + 3*l + 2*j = 18. Suppose -4*z = -2*z - l. Which is the nearest to -1/4? (a) -4/5 (b) z (c) -2/17 c Let s be 1/(-12)*66/20. Let q = s + -1/8. Let h = -1 + 1.1. Which is the closest to h? (a) -5/4 (b) q (c) -2/17 c Let o be 47/(-2) + (1 - 2). Let v = 101/4 + o. Let j be -1 + 1 - 10/(-35). Which is the nearest to 0.1? (a) 5 (b) v (c) j c Let z = 0 - 0. Let k = 79/3 + -28. Let r = -0.12 - -1.12. Which is the closest to 0? (a) r (b) z (c) k b Let w = -0.08 + -4.92. Let i = 5 + w. What is the closest to i in 5, 2, 3? 2 Suppose 0 = 3*v + 3, -v + 6*v = 3*x - 47. Suppose 4*j + x = -10. Let d be ((-2)/j)/(4/(-3)). Which is the nearest to d? (a) -1 (b) 3 (c) 4 a Let k = 1.5 - 1.9. What is the nearest to 0 in -3/7, -2/3, k? k Let m be (-33)/(-7) + (-4)/(-14). Let l(j) = 3*j - 3. Let k be l(m). Let u be k/7 + (-8)/(-28). Which is the closest to 2/5? (a) 0 (b) -4 (c) u a Suppose 16 = 2*v + 2*v. Suppose 2*q + 2*q = 40. Let m be (-13)/4 + (q - 7). Which is the closest to 1/3? (a) 5 (b) v (c) m c Suppose 49 - 4 = 5*v. Let a be 2/v + 172/36. Let p = 3.5 - 4. What is the nearest to 0 in 3, a, p? p Let t = 0.14 + -5.14. What is the nearest to -2/7 in t, 3/7, 4/7? 3/7 Let f = -103/385 + -1/55. Which is the closest to f? (a) -3 (b) 4 (c) 3 a Let i(a) = a**3 - 8*a**2 + a - 10. Let j be i(8). Let f be (-28)/(-6) + j/3. Let q be -7 + 1/(2/f). What is the closest to 1 in q, -2/5, 1/2? 1/2 Let w = -2.06 - -0.06. Let s = -0.1 - -0.1. Let t = 2 + -2.3. What is the closest to s in 0.4, w, t? t Let h = -5 + 3. Suppose 4*r - 2*y - 64 = 0, r - 30 = 2*y + 2*y. Let n be (-4)/r + (-2)/(-56). Which is the closest to h? (a) -4 (b) n (c) 3/5 b Let c be (6/4)/((-9)/(-4)). Let n be ((-6)/2)/3*3. What is the closest to -2/3 in n, 2/9, c? 2/9 Let o be 5/10 - 5/6. Let j be 957/(-24) - (-1 + 3). Let u = j - -42. What is the closest to -0.1 in u, o, -0.1? -0.1 Let i(h) = -h**2 + 4. Let d be i(-3). Let y = -2.6 - -0.6. Which is the closest to 2/7? (a) d (b) y (c) -0.2 c Let u = -33 + 31. What is the closest to -2 in -5, u, 2? u Let n be 5 + 3/(-3) + 0. Suppose -g = -4*p, 20 = n*g - p + 5. Let x be 4/3 - (g + -2). Which is the closest to 0? (a) -0.3 (b) x (c) -0.4 a Let g = -2.5 - -0.8. Let v = 1 + g. Let q = v - 0.3. What is the closest to q in -0.1, -0.4, -3? -0.4 Let i = 2/37 - -33/74. Let z = 0.18 + 0.12. Which is the closest to 0.1? (a) z (b) i (c) 0 c Let g = 54 - 32. Let w = -25 + g. Which is the nearest to w? (a) -0.4 (b) 2 (c) 3 a Let p = 124.95 + -130. Let y = -0.05 - p. Let m = 1 + -0.8. What is the nearest to 0 in -3, m, y? m Let r = 0.08 + 4.92. Let z = -128.94 + 127. Let d = 0.06 - z. Which is the closest to d? (a) -2 (b) r (c) 4 c Let y = -24 + 25. Which is the nearest to y? (a) 6 (b) 0.4 (c) -5 b Let k = -3 + 3.2. Let d = 0.13 + -0.1. Let r = d - -0.07. Which is the closest to 0.2? (a) r (b) k (c) 2/7 b Let v be (-78 - 1 - -2) + 0. Let f be (-1)/2 + v/(-98). Which is the closest to 0.1? (a) f (b) 4 (c) 2/9 c Let f = 10.2 - 1.2. Which is the nearest to f? (a) 0.1 (b) 0 (c) 2 c Let d = -10 - -10.1. Let x = -0.9 - d. Suppose 7*v - 15 = 2*v. What is the closest to x in -0.1, v, 1/4? -0.1 Let t be 446/(-12)*(-6)/(-123). Let g = 3172 - 130046/41. Let x = t + g. Which is the closest to 1/4? (a) -3 (b) 2/9 (c) x b Suppose o = 5*o. Suppose 2*k = -o*k. Which is the closest to -1? (a) k (b) 5 (c) 4 a Let s be -2 + 3 - (-1)/4. Let l = 14 - 14. Which is the closest to 1/2? (a) s (b) l (c) -1/6 b Let d = -0.09 + -0.1. Let c = 0.01 - d. What is the nearest to -3/4 in 1/6, 0.1, c? 0.1 Let v = -3.4 + 8.4. Which is the closest to v? (a) 3 (b) -1 (c) 1/2 a Let l = -40/3 - -14. What is the nearest to 0 in -2/11, l, -5? -2/11 Let y be (2*5/100)/(1/4). Which is the closest to 1? (a) 5 (b) y (c) -0.3 b Suppose x + 3 = -2. What is the nearest to 1 in -3, -2, x? -2 Let a be 8/(-44) - (-46)/(-110). Let i = 7/20 + a. Let s = 1.95 - -0.05. What is the closest to s in i, -0.3, -3/7? i Suppose 0 = 4*f + f - 10. Which is the nearest to f? (a) -0.2 (b) -4 (c) -0.5 a Let n = -1.98 + -0.02. Let r = n + 2.05. Let w = r - -3.95. What is the nearest to 1 in -5/2, -2/9, w? -2/9 Let t = -0.8 - -3.8. Let s = -0.7 - -1. Which is the nearest to 1? (a) -0.4 (b) s (c) t b Let x(a) = 2*a + 3. Let b be x(0). What is the closest to 2/13 in 0.5, 4, b? 0.5 Let n be (3 + -5)/((-2)/20). Let u = n + -58/3. Let p = -41/6 + 167/24. Which is the nearest to u? (a) -3/7 (b) -0.1 (c) p c Let p be 2/(-20)*4 - 48/(-20). Which is the nearest to 0? (a) p (b) 5 (c) 2/11 c Suppose -4*t - 3 = 13. Let p be (-8)/(-28) + (-6)/7. Which is the closest to -1? (a) p (b) -1 (c) t b Let b = 0.4 + 0.6. Let h = 5 - b. Let m = h + -2. What is the closest to 1 in -0.2, m, 1/8? 1/8 Let x be ((-4)/(-16))/((-18)/(-16)). Let y = -7/15 - 2/15. Let v be 13/(-15) + 2/3. What is the nearest to x in v, y, 0.1? 0.1 Let g be (2/8)/(0 + 1). Let v = -41 - -43. Which is the nearest to g? (a) v (b) -0.4 (c) -4 b Let i = 1.2 + -6.2. Let s = i - -2.7. Let j = s + 0.3. What is the closest to j in 0.5, -3, 0.4? -3 Suppose -5*t = -t - 12. Suppose v = -t*v. Suppose v = 3*g + 2*g. Which is the closest to 0? (a) -2 (b) 4/7 (c) g c Let t be (-2)/(-8)*1*34/51. What is the closest to t in -0.8, 1, 0? 0 Let u = 8 + -21. Let o = -13 - u. Let p(v) = -v**3 + 5*v**2 - v + 3. Let w be p(5). What is the closest to -0.1 in 4/3, o, w? o Let j(t) = -t**3 + 6*t**2 + 7*t. Let z be j(7). Suppose -x + 5 + z = 0. Which is the nearest to -2? (a) -0.4 (b) x (c) 1/9 a Let x = 5.5 - 6. Suppose -1 = -3*h + 4*y, h = -h + 2*y. Which is the closest to h? (a) -2 (b) x (c) -4 b Let x = 1/12 + 1/6. Let v = -0.981 + -0.019. What is the nearest to v in -0.1, -5, x? -0.1 Let d be -2*1/(-7) + 0. Let l = 348 - 352. What is the closest to -3 in l, 3/2, d? l Let l = -73 + 73. Which is the closest to 2/5? (a) l (b) 1/8 (c) 2 b Let g = 5.6 + -0.6. Let f = -2 - -1.8. Suppose 0*l - 8 = 4*l. Which is the nearest to f? (a) l (b) g (c) -1 c Suppose 2*w + 0*w = -3*i + 4, -w = -3*i + 7. Let m = -18 - -23.5. Let s = -1.5 + m. Which is the closest to w? (a) 5 (b) 0.4 (c) s b Let o(h) = -h**2 + 2*h + 8. Let m be o(4). Which is the nearest to m? (a) -0.4 (b) -2/9 (c) 2 b Let n = -0.54 - -0.94. What is the closest to 0 in 8, 3, n? n Suppose 4*j - 28 = 6*j. Suppose 0*n + 2*n = -8. Let a be j/(-18)*n/(-14). What is the closest to -2 in a, -2/17, -2/15? -2/15 Let i = -0.1 - 0.4. Let q(k) = k**2 - 6*k + 9. Let u be q(4). What is the closest to u in 2, 4, i? 2 Suppose -j - 20 = 4*g, -3*j - 12 = g - j. What is the closest to 0.5 in g, 0.4, -5? 0.4 Let z(c) = c**2 - 1. Let m be z(-1). Let a be ((-4)/6)/((110/(-15))/11). What is the nearest to a in 4, 3, m? m Let i be ((-2)/2 - 0)/1. Let d be ((1/(-2))/i)/(-1). Let h = -0.4 - 3.6. What is the nearest to d in h, -0.4, -0.2? -0.4 Let j = 29.9 + -30. What is the nearest to -7 in 2/3, j, 4? j Let q = 3.5 - 7. Let o = 0.21 - 4.21. Let t = q - o. Which is the closest to 1? (a) 4 (b) -6/5 (c) t c Let k be (-14)/(-170) - 15/75. What is the nearest to k in 3, 1, 4? 1 Let u be (-4)/15*30/20. Which is the closest to u? (a) 0.4 (b) -0.3 (c) -1 b Let u = 12.3 + -12.1. What is the nearest to u in 5/2, 0.2, -4/3? 0.2 Let k be -3*1 - (-442)/130. Let v be -1 + 1 - 4/(-10). Which is the closest to v? (a) k (b) -0.4 (c) -2 a Let r = 3/4 - 1/2. Let t = -5.3 + 4.8. What is the closest to r in -2, t, 2/7? 2/7 Let n be 2 - 4 - 34/(-16). Let t = -0.19 - 1.81. What is the closest to 0 in n, t, 2/15? n Let m = -4.7 + 9.7. Which is the nearest to -2/7? (a) -7 (b) m (c) 0 c Suppose l + 3 = 3*m, 0*m - 2*m - 2*l + 10 = 0. Suppose 0 = -3*t - h + 17, 5*t - 2*t + 5*h = 25. Which is the nearest to 0.2? (a) t (b) 0.5 (c) m b Let q = 0.085 + -0.485. Let g = 2 - 1. Let f = 2 + -4. What is the closest to g in f, 1/4, q?
{ "pile_set_name": "DM Mathematics" }
w - -17. Let p = d + 12. Is 5 a factor of p? False Let q(r) = 2*r**2 + 2*r + 1. Let v be q(-5). Suppose 0 = 4*o - 394 + 146. Let s = o - v. Does 10 divide s? False Let v = -36 + 62. Does 26 divide v? True Suppose 0 = 3*j - 2*p - 87, -2*j - 5*p = 14 - 53. Is j a multiple of 5? False Let b be 3/9 + 22/6. Let w = -8 - b. Does 7 divide 37/5 + w/30? True Suppose -5*j = 2*h - 7, -4*j - h + 3*h = -2. Suppose 3 = x - j. Suppose n = x*u + 14, 2*n - 4*n = 5*u - 41. Is 13 a factor of n? False Let v be ((-12)/4)/((-6)/8). Let t be 2/v*(42 - 0). Let c = 29 - t. Does 8 divide c? True Suppose -2*k + 0*p = -2*p - 32, 3*k - 58 = p. Is k a multiple of 7? True Suppose 4*v + 7 = 5*v. Does 7 divide v? True Let l be (-2)/(8/(-6))*2. Suppose l*o = 380 + 49. Suppose -4*k - o = -4*y - k, -2*k + 118 = 4*y. Does 14 divide y? False Let b be (7/(-3))/((-4)/(-12)). Let n = b + 10. Let x(r) = r**2 - 3*r + 2. Is x(n) a multiple of 2? True Suppose 0 = 4*h - 0*p - 3*p - 8, 33 = 5*h + 2*p. Suppose a + 9 = -5*j, -h*a - 9 = -3*j + 8. Is 1/(j - -2) - -20 a multiple of 8? False Let i = 46 + 97. Is 11 a factor of i? True Suppose 4*w - z - 26 = -0*z, -2*z + 4 = 0. Let m(u) be the second derivative of -u**5/20 + 2*u**4/3 - u**3/3 - 3*u**2 - 2*u. Is m(w) a multiple of 13? False Let a(d) = 2*d**2 + 7*d + 11. Does 4 divide a(-4)? False Suppose y = 4*k - 4, 0 = -2*y - 2*k + k + 28. Let f(j) = 86*j. Let c be f(2). Is c/y - (-1)/(-3) a multiple of 6? False Let d = 514 + -299. Does 31 divide d? False Suppose q + 5*k - 62 = -0*k, -334 = -5*q - k. Does 20 divide q? False Let o = -9 - -5. Is 2 a factor of 32/20 + o/(-10)? True Suppose 5*l - 156 = -41. Is l a multiple of 23? True Is 15 a factor of (-2 - (-84)/8)*4? False Let k(f) = -70*f - 48. Is k(-4) a multiple of 8? True Let l(h) = -2*h**3 - 9*h**2 - 6*h - 9. Let k be l(-6). Let t(q) = -q**3 + 5*q**2 + 14*q + 5. Let b be t(7). Suppose -b*d = -0*d - k. Does 11 divide d? False Suppose 8 = 3*c - 19. Does 5 divide c? False Suppose 44 = -11*r + 15*r. Is r a multiple of 9? False Let m(f) = f**2 - 9*f - 2. Let n be m(6). Suppose 0 = 5*z - 5*h - 195, -3*z + 0*h + h + 109 = 0. Let l = z + n. Does 9 divide l? False Let o = -243 - 431. Is 16 a factor of (-18)/45 + o/(-10)? False Suppose 3*n + 0*n - 9 = 0. Suppose n*z - 6 = 6. Does 11 divide 3*z/(-14)*-14? False Let t(y) = y**2 - y - 2. Let f be t(3). Is -3 + f - (-18 - -1) a multiple of 9? True Suppose 0 = -5*z - 3*b + 25, -3*b + 20 = 4*z + b. Suppose 64 = z*o - 196. Does 26 divide o? True Let f = -27 - -19. Let z = 12 + f. Is 3 a factor of z? False Suppose -13*n - 14 = -14*n. Suppose -n*o = -13*o - 77. Is 11 a factor of o? True Suppose -14 + 3 = v. Let l = v + 46. Does 19 divide l? False Suppose -6*p + p = 0. Suppose -5*i - 103 + 13 = p. Let z = 34 + i. Is z a multiple of 10? False Suppose 4 + 26 = 3*y. Suppose 5*a + 18 = -o, 0*o = -5*o - 5*a + y. Suppose o*b = 4*b + 18. Does 3 divide b? True Suppose -3*k - 3*o = -11 - 46, -5*k - 3*o = -99. Is k a multiple of 21? True Suppose -3*a = -6 - 6. Is 17 a factor of 34/a*(-4 - -6)? True Suppose 5*w - 5 = 5. Suppose 144 = -0*b + w*b. Suppose -5*r + b = h, -4*h + 0 + 8 = 0. Is 14 a factor of r? True Let m = -132 - -258. Is 33 a factor of m? False Let p = 33 + 15. Is p a multiple of 9? False Let y(q) = 2*q**2 - 3*q - 2. Let h be y(3). Suppose -4*x = 12, 3*b - h*b + x = -23. Suppose 4*g = b*g - 14. Is 7 a factor of g? True Let n(q) = q**3 + 2*q**2 - q + 1. Let u be n(-2). Suppose 6*s - 3*s - u = 0. Is 1/((-1)/(-41)) + s a multiple of 14? True Let l(z) = -z**3 + 2*z + 1. Is 7 a factor of l(-3)? False Let d(l) = 22*l**2 - 2*l + 6. Is 45 a factor of d(2)? True Let k(p) be the first derivative of -p**2 + 12*p - 3. Let d be k(8). Let c = d - -16. Is c a multiple of 12? True Suppose j = 3*b - 8, 4*j = -0*b + 3*b - 14. Let w be (-1242)/(-66) - j/11. Suppose 3*d = -5*q + 120, 4*q + 3*d - w = 77. Is q a multiple of 10? False Is (5 + -257)/(-2) - 0 a multiple of 9? True Let m = 69 + -41. Is 14 a factor of m? True Suppose 70 = -b + 3*b. Is b a multiple of 14? False Let l(q) = -q**2 + 7*q + 8. Let j be l(6). Suppose 0 = -n - 0 - 4. Let k = j + n. Does 5 divide k? True Is 24 a factor of (-289)/(-4) - 2/8? True Suppose -4*i - 6 = -22. Does 5 divide 25 + i/((-12)/(-3))? False Let o(q) be the second derivative of -q**4/12 - q**3 - 2*q**2 + 2*q. Let t be o(-3). Suppose 2*g = -g + 2*u + 116, t*g + u - 202 = 0. Is g a multiple of 20? True Does 9 divide 4/6*297/18? False Let z(y) = -y**3 - 15*y**2 - 16*y - 3. Let b be z(-14). Let k = b - 3. Does 11 divide k? True Does 15 divide 4/(-14) + (-914)/(-14)? False Let j = 1 + 1. Suppose -4*n - 5*x + 25 = -n, j*n = -2*x + 10. Is 17 a factor of 18 - (n - 1 - 1)? False Let h = 2 + -2. Suppose d - 2*d + 33 = h. Is d a multiple of 18? False Let d = 56 + -32. Suppose f = -2*f + d. Does 8 divide f? True Let f(a) = -2*a**3 + 6*a**2 - 4*a - 2. Let m = 11 - 7. Let k be f(m). Does 10 divide (-3)/(-9) + k/(-3)? False Suppose -3*k + 8*k - 25 = 0. Suppose -k*z + 3*f + 285 = 0, -2*z - 3*f + 114 = f. Does 15 divide z? False Does 3 divide 16 + (-3 - 2)/5? True Let w(k) = k**3 - 3*k**2 - 6*k + 4. Let a be w(4). Let z = 9 + a. Suppose t - 17 = h + 2*h, z*h = -2*t + 67. Is 13 a factor of t? True Suppose 0 = -4*j + y + 29, 0 = -5*j + 2*y + 21 + 13. Is 18 a factor of 6*6 - (-8 + j)? True Let u(v) = -6*v**2 - 14*v - 5. Let z(l) = -3*l**2 - 7*l - 2. Let h(f) = -3*u(f) + 5*z(f). Is h(-4) a multiple of 20? False Let y = 5 - 1. Suppose y*i - 66 = 90. Does 13 divide i? True Let o = -7 - -9. Is 30 a factor of o + -2 + (-180)/(-3)? True Let o = 80 - 182. Does 17 divide ((-10)/(-15))/((-4)/o)? True Suppose x = -0*x + 4*k + 33, 0 = 3*x - k - 132. Is 20 a factor of x? False Let o(q) = -20*q - 5. Let p be o(-4). Let y = -27 - -42. Suppose -2*b - 3*b = -4*i - p, 0 = -3*i + y. Is 7 a factor of b? False Let r(m) = -m**2 - 8*m - 1. Let f be r(-7). Let d(b) = -b**2 + 1. Let o be d(-1). Suppose f*q - 3*q - 42 = o. Is 14 a factor of q? True Let p = 0 - -5. Suppose 0 = -p*a + 20, 0 = 2*g + 2*g + 3*a - 504. Let n = g - 83. Is 17 a factor of n? False Let k = -23 - -23. Suppose 0 = -3*h + 2*w + 46, -3*w + 3 = -k*w. Is h a multiple of 16? True Suppose 6*k = 7*k - 35. Does 32 divide k? False Let m(c) = c**2 + 5*c - 5. Let k be m(-6). Let w(r) = k - 2*r - 2 - 16*r. Is 17 a factor of w(-1)? True Let o = 0 + 4. Suppose 0 = x + c - 43, -o*x + 2*x = 4*c - 84. Is 22 a factor of x? True Let k(z) = 18*z**3 + z**2 - z + 1. Is 18 a factor of k(1)? False Suppose 2*w + 1 = 59. Is w a multiple of 29? True Let t be (-1 + (-2)/(-2))/2. Is 37 - (t + (3 - 1)) a multiple of 19? False Let v = -28 + 84. Suppose 2*u - 36 = v. Is 17 a factor of u? False Let b = -44 - -30. Let n = b + 6. Let f(p) = -p. Does 7 divide f(n)? False Let a(z) = -z - 3. Let w be a(4). Let l = w + 16. Is 9 a factor of l? True Let s(n) = -n**2 + 14*n - 9. Let o be (-2)/(-9) + 79/9. Is s(o) a multiple of 18? True Let p be (9/(-3))/3 - -3. Suppose -p*n = -3*n + 39. Is n a multiple of 22? False Let l(t) = -t**2 + 7*t - 10. Let s be l(4). Let r be ((-40)/3)/((-1)/3). Is 4 a factor of 304/r - s/(-5)? True Suppose z - 2*h = 4, 4*h = 4*z + h - 11. Suppose -3*o - 32 = 2*c, c + 3*c + 64 = z*o. Let f = -5 - c. Is 11 a factor of f? True Let v(w) = -9*w - 7. Is 13 a factor of v(-8)? True Suppose 4*g = 4*b + 8, -2*b + 0 = g - 17. Does 6 divide g? False Let k = 80 - -30. Let u = -70 + k. Suppose i - u = -0*i. Does 13 divide i? False Let h be 82*(7/(-2) + 3). Let y = h + 67. Does 13 divide y? True Suppose -20 = 7*p - 9*p. Is p a multiple of 4? False Is (0 + -1)*-1*58 a multiple of 13? False Let x be (-5238)/(-24) - (-1)/(-4). Is x/10 + 1/5 a multiple of 11? True Let x(p) = -p**2 - 6*p - 5. Let z be x(-4). Suppose 4*c = -z*t - 0*c + 106, c = -t + 36. Is 16 a factor of t? False Let i(r) = -2*r. Let c be i(-2). Suppose 4*b - 4 = p, -c*p - 4*b = p - 4. Does 14 divide p + 43 - (5 + -4)? True Let m be 1*(-2)/2*-5. Let x be (16/20)/(1/m). Suppose 3*c + 37 = 4*u - 0*c, -4*c + 16 = x*u. Does 6 divide u? False Let n(r) = -r**3 + 3*r**2 + 7*r - 2. Let q be n(5). Does 9 divide (1 + 0)/1 - q? True Let w = -8 + 11. Suppose 3*m + 15 = 0, -2*m + 1 = -2*f - w*m. Is 6 a factor of (f - -10) + (1 - 1)? True Suppose i + 38 = -0*i. Let g be 6/(-12) - i/4. Is 8 a fa
{ "pile_set_name": "DM Mathematics" }