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+ 4/57*h**3 + 0 - 1/114*h**4 - 1/190*h**5. Factor t(s). -2*(s - 2)*(s + 1)*(s + 2)/19 Let u = -44/49 - -2689/2940. Let v(j) be the third derivative of 1/75*j**6 + 0*j**3 + 0*j + 2*j**2 - 1/30*j**5 + 0 + u*j**4. Solve v(h) = 0. 0, 1/4, 1 Let u be -31 + 1*-2 + (6 - 5). Let f be (-1 - 22/(-16))*u/(-48). Factor -f*k**4 - 3/2*k**3 - 1 - 13/4*k**2 - 3*k. -(k + 1)**2*(k + 2)**2/4 Let q(p) = p**2 + 4. Let x(d) = 48*d**4 + 168*d**3 + 198*d**2 + 75*d + 12. Let s(r) = 3*q(r) - x(r). Factor s(g). -3*g*(g + 1)*(4*g + 5)**2 Let g(l) = 5*l**3 + 5*l**2 - 30*l + 90. Let h(y) = -y + 3. Let c(q) = g(q) - 30*h(q). Factor c(u). 5*u**2*(u + 1) Let o(p) = 2*p**5 - 5*p**4 - p**2 + p. Let f(h) = 15*h**5 - 30*h**4 - 27*h**3 + 12*h**2 + 3*h. Let d(g) = -f(g) + 9*o(g). Let d(z) = 0. What is z? 0, 1, 2 Let t(c) be the first derivative of -2*c**5/95 - 3*c**4/19 - 8*c**3/19 - 8*c**2/19 + 180. Find z such that t(z) = 0. -2, 0 Find z, given that -116/5*z**3 - 240 + 12/5*z**4 + 224*z - 108/5*z**2 + 4/5*z**5 = 0. -5, 2, 3 Let y(o) be the third derivative of -o**6/1080 + o**5/120 - o**4/36 - 23*o**3/6 + 25*o**2. Let p(w) be the first derivative of y(w). Factor p(s). -(s - 2)*(s - 1)/3 Let z(h) be the third derivative of h**7/8820 - h**6/2520 - h**5/210 - 5*h**4/24 - 10*h**2. Let s(a) be the second derivative of z(a). Factor s(u). 2*(u - 2)*(u + 1)/7 Let o be (-9 - (-20 - -14))/(-1). Solve -4/9*a + 0 - 2/3*a**2 - 2/9*a**o = 0 for a. -2, -1, 0 Suppose -517*d = -574*d + 114. Solve 3/8*t + 3/8*t**5 - 3/2*t**d - 3/4*t**3 + 3/4 + 3/4*t**4 = 0 for t. -2, -1, 1 Solve 15 - 109*c - 63 - 3*c**2 + 160*c = 0. 1, 16 Let d(p) be the third derivative of -p**6/240 - 3*p**5/40 - 5*p**4/16 - 7*p**3/12 + 52*p**2. Factor d(h). -(h + 1)**2*(h + 7)/2 Suppose -5*x - 4*u = -24, -3*x - x - 2*u = -18. Let s(z) be the first derivative of -5/2*z**2 - 1/4*z**x + 5 + 4/3*z**3 + 2*z. Factor s(p). -(p - 2)*(p - 1)**2 Solve -28*f**3 - 56 - 416*f + 240*f + 2*f**4 + 7 - 134*f**2 - 23 = 0. -2, -1, 18 Suppose 17*o = 13*o + 8. Let r(g) = 3*g**3 - 2*g + 1. Let h be r(1). Solve 192 + 2*t**2 - 189 - 3*t**o - h*t = 0 for t. -3, 1 Suppose 3*s = -0*s + t + 335, 3*s - 325 = -4*t. Let q = 114 - s. Let 4/9 - 2/9*m - 4/9*m**2 + 2/9*m**q = 0. Calculate m. -1, 1, 2 Let z(x) = 4*x**2 + 592*x + 21907. Let u(p) = -28*p**2 - 4144*p - 153348. Let g(a) = 3*u(a) + 20*z(a). Factor g(k). -4*(k + 74)**2 Let y(r) = 2*r**3 + 6*r**2 - 2*r + 6. Let j(n) = 3*n**3 + 12*n**2 + 11 - 2*n**3 + 2*n**3 + 0*n**3 - 5*n. Let z(b) = 4*j(b) - 7*y(b). Factor z(f). -2*(f - 1)**3 Let t(l) = -2*l**2 + 2. Let z(c) = c - 5 - 12 + 5*c**2 + 13. Let s(m) = 7*t(m) + 3*z(m). Determine h, given that s(h) = 0. -2, -1 Let c(b) be the third derivative of b**8/336 + 4*b**7/105 + 5*b**6/24 + 19*b**5/30 + 7*b**4/6 + 4*b**3/3 + 159*b**2. Let c(g) = 0. Calculate g. -2, -1 Let q(r) = r**3 - 3*r**2 - r - 8. Let u be q(4). Solve 3*y**u + 0*y**4 - 3*y**2 - 41*y + 43*y - 2*y**3 = 0. -1, 0, 2/3, 1 Let u(b) be the second derivative of -3*b**5/140 + 2*b**4/21 - 2*b**3/21 + 6*b + 68. Solve u(d) = 0. 0, 2/3, 2 Let -344*c + 180*c + 2*c**2 + 200*c = 0. Calculate c. -18, 0 Let f be 52/117*(-18)/(-4). Let d(q) = -q**2 + 20*q - 25. Let z(p) = -3*p**2 + 81*p - 99. Let o(n) = f*z(n) - 9*d(n). Factor o(y). 3*(y - 3)**2 Let o(g) be the first derivative of g**6/3 - 62*g**5/5 + 141*g**4 - 756*g**3 + 2133*g**2 - 3078*g + 718. Suppose o(j) = 0. Calculate j. 3, 19 Let w(h) be the second derivative of h**6/90 + 7*h**5/15 + 61*h**4/9 + 112*h**3/3 + 96*h**2 - h - 38. Let w(j) = 0. What is j? -12, -2 Let p = 424/843 - -46/281. Factor 0 - p*j**2 - 2/3*j. -2*j*(j + 1)/3 Let f(z) be the first derivative of -z**3/27 - z**2 + 7*z - 67. Factor f(x). -(x - 3)*(x + 21)/9 Let r(v) be the second derivative of v**4/96 + 13*v**3/8 + 77*v**2/16 - 6*v + 13. Factor r(l). (l + 1)*(l + 77)/8 Let h be (12/(-13))/(-6) + (-1077)/(-13). Let o = -81 + h. Solve 0*r**o + 1/4*r**3 - 1/4*r + 0 = 0. -1, 0, 1 Let a = -2/13175 + 13179/26350. Factor -1/2*m**4 + 0 + 0*m + a*m**2 + 0*m**3. -m**2*(m - 1)*(m + 1)/2 Let g be (204/(-238))/(6/(-21)). Let n(p) be the third derivative of -1/20*p**5 + 0 + 3/8*p**4 + 10*p**2 + 0*p + 0*p**g. Suppose n(z) = 0. What is z? 0, 3 Let a(u) be the third derivative of -u**7/945 + u**6/540 + 2*u**5/135 - u**4/27 - 190*u**2. Determine x so that a(x) = 0. -2, 0, 1, 2 Let k = 2/4251 + 335821/17004. Let p = k + -205/12. Factor 8/3 + p*y + 2/3*y**2. 2*(y + 2)**2/3 Let a be ((-9)/(-30))/(12/(-1750)). Let d = a - -44. Factor 0 - 1/4*p**2 + d*p. -p*(p - 1)/4 Let l(p) = 28*p - 8. Let g be l(6). Let a be (-1)/20 - (-40)/g. Factor a*w - 2/5 - 1/5*w**3 + 2/5*w**2. -(w - 2)*(w - 1)*(w + 1)/5 Let z(y) be the second derivative of y**8/168 + y**7/35 + y**6/20 + y**5/30 + 9*y**2 + 6*y. Let o(h) be the first derivative of z(h). Factor o(v). 2*v**2*(v + 1)**3 Suppose -229 = -4*p - 221. Let w(n) be the second derivative of -8*n + 0 - 9/7*n**p + 2/7*n**3 - 1/42*n**4. Factor w(u). -2*(u - 3)**2/7 Factor 6879*g**2 + 488*g - 88*g**2 + 5 + 3 + 651*g**2. 2*(61*g + 2)**2 Suppose -2*h + 17 = 3. Determine l, given that 4 + 4*l + h*l + l**3 - 3*l + 0*l + 5*l**2 = 0. -2, -1 Let f(g) be the second derivative of g**7/14 + g**6/5 - g**4/2 - g**3/2 - g + 3. Factor f(j). 3*j*(j - 1)*(j + 1)**3 Let g(z) = -z**3 + z**2 - 1. Let x = 20 - 23. Let u(p) = -6*p**3 + 9*p**2 - 4*p - 5. Let r(d) = x*u(d) + 15*g(d). Let r(o) = 0. What is o? 0, 2 Let -4/3*o**2 - 20/3*o**4 + 58/9*o**3 + 0 + 0*o + 14/9*o**5 = 0. Calculate o. 0, 2/7, 1, 3 Suppose -y - 4*v = 7, 4*y - v = 2*v + 29. Find d such that 5*d**4 - 5*d**3 + 10*d + 0*d**4 + y*d**5 - 10*d**3 - 5*d**2 = 0. -2, -1, 0, 1 Factor -5/4*o**2 - 3645/4 + 135/2*o. -5*(o - 27)**2/4 Let p(k) be the second derivative of -1/84*k**4 + 17*k - 1/14*k**2 + 0 + 1/21*k**3. Factor p(d). -(d - 1)**2/7 Let c(t) be the third derivative of t**8/10080 - t**7/2520 - t**6/60 + 19*t**5/60 + 16*t**2. Let z(l) be the third derivative of c(l). Factor z(w). 2*(w - 3)*(w + 2) Let j(u) = 55*u + 608. Let w be j(-11). Suppose 0*z**2 + 0*z + 2/7*z**4 + 0*z**w + 0 = 0. What is z? 0 Factor -108 - 66*p - 8*p**2 + 2/3*p**3. 2*(p - 18)*(p + 3)**2/3 Let f(y) = y**2 + 12*y + 20. Let t be f(-10). Let 2*r**2 - 5 + t + 3 = 0. Calculate r. -1, 1 Suppose y - 6*y = 4*y. Let p(d) be the third derivative of 0*d**4 + y*d + 1/504*d**8 + 1/90*d**5 + 1/60*d**6 + 0*d**3 - 3*d**2 + 0 + 1/105*d**7. Factor p(k). 2*k**2*(k + 1)**3/3 Let c be 1/(-10 + -9 + 1458/76). Determine s, given that -44/7*s**2 + 8/7*s**4 + c*s + 12/7 - 2*s**3 = 0. -2, -1/4, 1, 3 Let k(j) be the third derivative of 5*j**8/1008 - 2*j**7/63 + 5*j**6/72 - j**5/18 - 395*j**2. Factor k(r). 5*r**2*(r - 2)*(r - 1)**2/3 Let u(o) = 22*o - 154. Let l be u(7). Let z(n) be the third derivative of 1/60*n**6 + l*n - 1/30*n**5 - 1/6*n**4 + 0 + n**2 + 0*n**3. Factor z(v). 2*v*(v - 2)*(v + 1) Suppose -2*s - 29 = -3*c, -3*c - 4*s + 28 + 13 = 0. Let j = 15 - c. Let -16/7 - 4*w**2 + 152/7*w**j - 138/7*w**3 - 6*w**5 + 72/7*w = 0. What is w? -2/3, 2/7, 1, 2 Factor -13*o - o**2 - 3*o**2 + 3 - o**2 - 9. -(o + 2)*(5*o + 3) Let t = 269851/6 - 44975. Find y such that 1/12*y**3 - 1/12*y - 1/6 + t*y**2 = 0. -2, -1, 1 Determine z so that -8/3*z - 1/3*z**3 - 5/3*z**2 - 4/3 = 0. -2, -1 Let a = -314 + 283. Let z = a + 36. Let -46/11*g**3 - 4*g**4 - 12/11*g**2 + 0 - 10/11*g**z + 0*g = 0. Calculate g. -3, -1, -2/5, 0 Factor -54*g + g**3 - 19*g + 61*g - 11*g**2. g*(g - 12)*(g + 1) Determine l, given that 4232/17*l**2 + 2/17*l**5 + 0 + 4416/17*l**3 + 0*l + 186/17*l**4 = 0. -46, -1, 0 Let a(j) be the second derivative of -j**5/20 - 7*j**4/6 - 22*j**3/3 - 20*j**2 - 19*j + 2. Let a(z) = 0. What is z? -10, -2 Suppose a = 5*a + 3*w - 11, -4*w = -4. Suppose -8 + 2 = -a*k. What is s in -3*s**k - 9*s - 3 - 4 + 2 - 9*s**2 + 2 = 0? -1 Let a(t) be the first derivative of -4*t**5/5 - 7*t**4 + 4*t**3 + 38*t**2 - 56*t - 108. Find u such that a(u) = 0. -7, -2, 1 Let c be (3725/298)/(8*2/4). Suppose -11/8*u**2 - 35/8*u - 1/8*u**3 - c = 0. What is u? -5, -1 Let w(z) be the second derivative of -z**7/210 - z**6/40 - z**5/60 + z**4/8 + z**3/3 - 5*z**2 - 3*z. Let m(s) be the first derivative of w(s). Factor m(v). -(v - 1)*(v + 1)**2*(v + 2) Let p(v) be the third derivative of 0*v**3 + 1/240*v**5 + 0*v + 0 + 1/48*v**4 - 8*v**2. Factor p(b
{ "pile_set_name": "DM Mathematics" }
14). Let t(o) = -3*o**3 - 2*o**2. Let p be 20/(-6) - (-1)/3. Let j be t(p). What is the greatest common factor of y and j? 7 Suppose -8*f + a = -4*f + 14, 2*f + 5*a = -18. Let h be (-72)/(-27)*(-45)/f. Calculate the highest common factor of h and 6. 6 Let b(l) = l**3 - 4*l**2 + 5*l - 3. Let t be b(4). Calculate the greatest common factor of 68 and t. 17 Let z be 8/28 - (-80)/14. Suppose 108 = z*o - 3*o. Calculate the greatest common factor of o and 4. 4 Suppose -5*l + 96 = -279. What is the highest common divisor of 15 and l? 15 Suppose 3*s - 70 = -5*h, -3*h + 10 = -h. Calculate the greatest common divisor of 3 and s. 3 Let s be 2/(1 - (-10)/(-11)). Suppose -r + l + s = -7, l - 55 = -2*r. What is the highest common factor of r and 70? 14 Suppose 0 = 2*g - 2*p + 4*p - 388, 0 = -2*p - 2. Let k = -6 + 3. Let l be ((-4)/10)/(k/g). What is the highest common factor of 65 and l? 13 Suppose -2*t + 2*f + 542 = 0, 0 = 4*t - 0*f - 3*f - 1088. What is the greatest common factor of 25 and t? 25 Let v(f) = 8*f - 15. Let q be v(12). Suppose 0 = 3*d - 206 - 169. Let n = d - q. What is the highest common factor of n and 11? 11 Let d(y) = y**3 + 15*y**2 - 21*y - 35. Let s be d(-16). Calculate the greatest common factor of s and 18. 9 Let h = -154 - -226. What is the greatest common divisor of 12 and h? 12 Suppose 6*j - j = 5. Calculate the highest common divisor of 5 and j. 1 Suppose -k = -4*w - 56, -k + w = 3*k - 209. What is the highest common divisor of 13 and k? 13 Let a = 6 - 8. Let s be 2/4 + (-7)/a. Let x = 35 - 19. What is the greatest common factor of x and s? 4 Let y be ((-1 - -1)*-1)/(-2). Suppose -q - 3*j = q - 133, y = -5*q + 4*j + 321. Let i = 33 - 20. What is the greatest common factor of q and i? 13 Let u = 23 - -10. Let d be 2*(0 - (-22)/4). Calculate the greatest common divisor of u and d. 11 Let b be 172/(((-4)/(-3))/(-2)). Let p be 2 - 1 - b/6. Suppose -8*z + 4*z = -p. Calculate the highest common divisor of z and 1. 1 Let g be -2 + 1 - 4*-1. Let i be 98/g + (-1)/(-3). Calculate the greatest common divisor of i and 3. 3 Suppose -o + 5*h + 308 = 0, o - 5*o - h = -1253. Let r = -193 + o. Suppose -62 = -3*t - 3*k - 14, k = 1. What is the highest common divisor of r and t? 15 Suppose 2*h = 22 + 18. Let f(z) = -2*z + 1. Let r be f(-3). Suppose -2*x = -1 - r. What is the greatest common factor of h and x? 4 Suppose j - 5*i - 7 = 0, -3*j - 3*i - 25 = -10. Let g be j*(13/(-3) + 3). Calculate the greatest common factor of 6 and g. 2 Let a = 3 - 2. Suppose 9 = 4*c + a. Suppose c = -z + 3. Calculate the highest common factor of 9 and z. 1 Suppose -b + 3*x + 21 = 0, -3*x = -x + 8. Let c(u) = -11*u - 25. Let g be c(-8). Let a = g - b. Calculate the greatest common divisor of a and 6. 6 Let z be 276/76*3 + (-6)/(-57). Let p = -130 + 207. Calculate the greatest common divisor of p and z. 11 Let l be 6/(-9) + 2 - 140/(-3). What is the highest common divisor of 24 and l? 24 Suppose 0 = 3*r + 2*z + 2*z + 25, -2*r + 2*z = 40. Let h be (r/(-21))/(1/7). What is the highest common divisor of 35 and h? 5 Let w = -567 + 1095. Suppose 60 = -4*s + w. What is the highest common divisor of 13 and s? 13 Suppose 2*z + 3*z = 680. Suppose -3*o + 383 = -z. Suppose 3*w - w = 5*k - o, 3*k + 2*w = 107. What is the greatest common factor of 7 and k? 7 Let w(g) = -2*g - 12. Suppose 0 = 4*q + 18 + 22. Let t be w(q). Let j = t - 4. What is the highest common divisor of j and 6? 2 Suppose t + 315 = 6*t. Let p = -11 - -39. Let j be p/(-2)*(-3)/6. Calculate the highest common factor of t and j. 7 Let x(s) = -2*s - 10. Let l be x(-7). Let n be (l/(-10))/((-2)/50). Let p = n + -7. Calculate the highest common divisor of 3 and p. 3 Let f(q) = q**2 - 13*q - 52. Let j be f(19). What is the greatest common divisor of j and 31? 31 Let l be 4*1 - ((-534)/6)/1. Calculate the greatest common factor of l and 124. 31 Let o(s) = 2*s**2 + 13*s - 13. Let l be o(-10). What is the highest common divisor of l and 19? 19 Let k = -36 - -64. Let a be (-2)/8 - (-169)/4. Let o = k + a. What is the greatest common factor of 10 and o? 10 Let r be (-11)/55 - 11/(-5). What is the highest common divisor of r and 3? 1 Let f be (4/5)/((-2)/(-15)). Calculate the greatest common factor of 42 and f. 6 Suppose 23 = 2*u + 1. What is the highest common factor of 11 and u? 11 Suppose 4*i - 4*r - 8 = 0, 4*i + r + 3*r = 16. What is the greatest common divisor of i and 1? 1 Let w = 150 - -225. Calculate the greatest common factor of 15 and w. 15 Suppose d - 25 = -2*y, -3*d - 65 = -5*y - 6*d. Let a = 22 - y. Let s be (-212)/(-12) - 2/(-6). What is the highest common divisor of a and s? 6 Let i = 2 + 0. Let w be (2 - 1)/(i/64). Let x = w - -18. What is the greatest common factor of x and 20? 10 Let g(s) = 2*s + 3. Let u be g(-2). Let t be u/(2 - (-141)/(-69)). What is the highest common divisor of t and 161? 23 Let j(n) = -n**2 + 6*n + 8. Let l be j(6). Calculate the highest common factor of l and 88. 8 Let g(p) = -6*p - 39. Let a be g(-9). What is the greatest common divisor of 10 and a? 5 Suppose 4*f = -2*g + 168, -2*f - 100 = -2*g + 80. Suppose 10*w - g = 6*w. What is the greatest common divisor of 55 and w? 11 Let z(l) = -l**2 - 13*l - 16. Let o be z(-8). Calculate the highest common divisor of 36 and o. 12 Let r = 52 + -74. Let n = 34 + r. Let f be 1*-1*2*-6. Calculate the greatest common factor of f and n. 12 Suppose 5*r = 14 + 11. Suppose -r*s + 99 = -2*s. Let f(a) = -a**3 - 2*a**2 - 3*a + 4. Let g be f(-3). Calculate the highest common factor of s and g. 11 Let p(z) = -3 + 3*z**3 + 5*z**2 + 0 - 2*z**3 - 7*z. Let w be p(-6). What is the highest common divisor of 1 and w? 1 Suppose -64*v - 16 = -65*v. What is the highest common divisor of v and 144? 16 Suppose -287 = -4*f + 4*i + 133, 0 = 5*i. Calculate the highest common divisor of f and 42. 21 Suppose -2 = -2*o + 6. What is the greatest common divisor of o and 16? 4 Let c = 86 + -56. Calculate the greatest common divisor of c and 30. 30 Suppose 4*f - 119 = -r, -r = 4*f - f - 89. Calculate the highest common factor of f and 75. 15 Let c(v) = -v**3 + 4*v**2 + 5*v + 2. Suppose -2*j + 5 = -5. Let a be c(j). Let o be (-58)/(-2) - a/2. What is the greatest common factor of 42 and o? 14 Let x = 11 + 16. What is the greatest common factor of x and 27? 27 Let j = 83 + -73. Calculate the highest common divisor of j and 10. 10 Let l = -2 + 13. Let f be (-12)/(-78) - (-22)/26. Calculate the greatest common factor of f and l. 1 Let v(r) = r**3 - 17*r**2 - 16*r - 14. Let s(d) = d**3 + 16*d**2 + 13*d - 12. Let z be s(-15). Let a be v(z). Calculate the highest common divisor of a and 242. 22 Let c(x) be the first derivative of -x**4/4 - 2*x**2 - 3*x + 1. Let r be c(-2). What is the greatest common factor of r and 91? 13 Let z be 18/(-2)*10/(-6). Suppose 3*p - 3*h = z, -p = p - 5*h - 19. Suppose j + j - 28 = 0. What is the greatest common factor of j and p? 2 Let f(h) = -5*h**3 - 1. Let b be f(1). Let p be (-51)/b*4*2. Suppose 5*t - 53 = 32. Calculate the highest common divisor of t and p. 17 Let c be (-51)/(-6)*(-6)/(-3). Let o = -93 - -146. Let j = o - c. Calculate the highest common divisor of j and 4. 4 Let w(a) = 7*a**2 - 2*a + 6 - 2*a**3 - 4 + 0*a**3 + 3*a**3. Let x be w(5). Let p = x - 182. Calculate the highest common divisor of p and 10. 10 Suppose 102 = 7*z - 5*z. Calculate the highest common divisor of 34 and z. 17 Suppose -4*k - 268 = -5*d, -4*d = 2*k - 158 - 72. Suppose 0 = 2*h - d - 34. Let y = -2 - -20. Calculate the greatest common factor of h and y. 9 Let d(t) = -3*t - 12. Let o(u) = -2*u - 6. Let q(l) = -3*d(l) + 5*o(l). Let j be q(2). What is the highest common factor of j and 8? 4 Suppose 13*b = 12*b - 6. Let n(y) = -10*y - 15. Let d be n(b). Calculate the greatest common factor of 30 and d. 15 Suppose -2*k = 5*m - 315, 4*k - 2*m - 666 = -0*m. Let g be 1 + (-1)/(-1) + 13. What is the highest common divisor of g and k? 15 Suppose -20 = -d + 5*d. Let w = 3 + d. Let i be (2 - 0)/w - -9. What is the greatest common divisor of i and 20? 4 Let o be 1*1*-6*-3. Calculate the highest common factor of o and 2. 2 Let n(j) = 2*j**2 - 5*j - 7. Let w be n(5). Calculate the highest common factor of w and 6. 6 Suppose -3*r = -4*o - 122, -3*o = 3*r + r - 171. Calculate the h
{ "pile_set_name": "DM Mathematics" }
3/24 Calculate 274150 divided by -50. -5483 21224 divided by 14 1516 -24684 divided by 102 -242 -19 divided by -11212 19/11212 Calculate 104576 divided by -7. -104576/7 Divide 42808 by 10702. 4 Divide 50532 by -12633. -4 Calculate -1 divided by 25737. -1/25737 Calculate 603 divided by 10. 603/10 Calculate -169725 divided by -1095. 155 Calculate -3843388 divided by -960847. 4 65 divided by 1513 65/1513 Calculate -65059 divided by -3827. 17 What is 10051 divided by 19? 529 Calculate -108539 divided by -2. 108539/2 What is 50869 divided by -1183? -43 Divide 25379 by 1. 25379 Calculate -74479 divided by 1. -74479 Calculate -230197 divided by 11. -20927 What is 23363 divided by -21? -23363/21 Calculate -106 divided by 27895. -106/27895 Calculate -48230 divided by 5. -9646 Divide 2 by -26844. -1/13422 Calculate -7 divided by 40976. -7/40976 Calculate -2 divided by -390715. 2/390715 Calculate 2511405 divided by 27. 93015 -28283 divided by 44 -28283/44 Calculate -77328 divided by -27. 2864 Divide -422 by -2430. 211/1215 228029 divided by -6 -228029/6 Calculate 31 divided by -16872. -31/16872 Divide 607 by 607. 1 Divide 123 by -3485. -3/85 -71 divided by -3982 71/3982 Calculate -2212164 divided by 553041. -4 Calculate -2 divided by -12648. 1/6324 What is 65802 divided by 2991? 22 -5580 divided by 12 -465 -3 divided by 423019 -3/423019 Divide 92988 by 23247. 4 -3 divided by 181675 -3/181675 What is -24552 divided by 8? -3069 -20 divided by 363 -20/363 Divide 2833 by -288. -2833/288 Divide 263 by 678. 263/678 -596836 divided by 268 -2227 Divide 0 by 213222. 0 Calculate 24664 divided by -6. -12332/3 Calculate 3345 divided by -79. -3345/79 What is 7 divided by -590? -7/590 -9419 divided by -256 9419/256 What is 124625 divided by -24925? -5 What is -5176530 divided by -18? 287585 What is -280 divided by 147? -40/21 Calculate -2546556 divided by 6. -424426 Calculate -13 divided by -1336. 13/1336 Calculate -8765 divided by -2. 8765/2 What is -27456 divided by -429? 64 -97401 divided by 32467 -3 Calculate 165140 divided by 4. 41285 What is -3 divided by 142475? -3/142475 131 divided by 13122 131/13122 -27010 divided by -15 5402/3 What is -66 divided by -66? 1 0 divided by 625655 0 15 divided by 21046 15/21046 Calculate 11085 divided by 2217. 5 Calculate -3 divided by 560379. -1/186793 Calculate -4713884 divided by 336706. -14 Divide -640091 by -1. 640091 What is -2227 divided by 1? -2227 Calculate -448350 divided by 3. -149450 Calculate 58682 divided by 1586. 37 What is -649973 divided by -1? 649973 Calculate -74052 divided by -4. 18513 Calculate 1758720 divided by 6. 293120 -423253 divided by 5 -423253/5 What is 51 divided by 15519? 17/5173 Calculate -47914 divided by -1. 47914 Calculate -55 divided by 1697. -55/1697 What is -2152 divided by 39? -2152/39 Calculate 7 divided by 43324. 7/43324 Calculate 170 divided by 9. 170/9 What is 11624 divided by 1453? 8 Divide 723 by -17. -723/17 -7415 divided by -141 7415/141 -641376 divided by 48 -13362 What is -15624 divided by 16? -1953/2 Divide 59859 by -2217. -27 Calculate 5160 divided by -2580. -2 1448 divided by -25 -1448/25 Calculate 6090227 divided by 13. 468479 Calculate -797164 divided by 4. -199291 Divide 258891 by 1. 258891 Divide 4028105 by 805621. 5 Divide 62509 by -1. -62509 Divide 366982 by 14. 26213 Calculate -17173 divided by -200. 17173/200 Divide -19110 by 30. -637 What is -50280 divided by 1676? -30 11920 divided by -4 -2980 4 divided by -43959 -4/43959 Divide -109566 by -6. 18261 Divide 0 by 474663. 0 Calculate -5152700 divided by -12124. 425 What is 356440 divided by -2345? -152 What is 964 divided by 19? 964/19 Calculate 7 divided by 2185. 7/2185 Divide -143061 by 3327. -43 What is 168453 divided by 1? 168453 Calculate 524348 divided by -34. -15422 Divide 81 by -568. -81/568 Divide 242874 by 786. 309 -13 divided by -539 13/539 Divide 310048 by 1. 310048 380250 divided by -390 -975 Calculate -18 divided by -6878. 9/3439 Calculate -1430 divided by 34. -715/17 What is 110925 divided by 425? 261 Calculate 235571 divided by -7. -33653 -499230 divided by -86 5805 -2282970 divided by -5 456594 -5 divided by 4491 -5/4491 695912 divided by -8092 -86 What is -397410 divided by -1? 397410 9 divided by -2333 -9/2333 Divide 2 by 18684. 1/9342 Divide 156337 by 1231. 127 What is -315563 divided by -315563? 1 420 divided by -140 -3 Calculate -357338 divided by -29. 12322 -19563 divided by 20 -19563/20 What is 85 divided by 85? 1 1153733 divided by 1 1153733 -2006 divided by -59 34 692188 divided by -24721 -28 Calculate 782 divided by 5. 782/5 What is 3 divided by -196354? -3/196354 Divide -158424 by 328. -483 Calculate -768 divided by 572. -192/143 Calculate -4812 divided by -14. 2406/7 -1901 divided by 20 -1901/20 Calculate 353160 divided by 18. 19620 Calculate 5 divided by 12657. 5/12657 Divide -1169670 by -6. 194945 What is 4 divided by 36770? 2/18385 -146 divided by 25 -146/25 What is 773214 divided by -6? -128869 What is 43107 divided by 14369? 3 Calculate 70 divided by 11004. 5/786 Divide 84528 by -48. -1761 Calculate -83312 divided by 20828. -4 -116 divided by -5451 116/5451 Divide 105060 by -6. -17510 What is -6275140 divided by 5? -1255028 0 divided by 32407 0 Calculate -5776 divided by 100. -1444/25 Calculate -9228687 divided by -3. 3076229 Calculate -5 divided by -497457. 5/497457 Divide 32 by 1263. 32/1263 Calculate -42860 divided by 4. -10715 Divide -20535 by -37. 555 11878 divided by -1 -11878 9865 divided by -36 -9865/36 -1216 divided by 7 -1216/7 Divide 165 by -738. -55/246 27590 divided by -2 -13795 -298 divided by 257 -298/257 869 divided by 33 79/3 Divide -25856 by 4. -6464 Divide 2 by 57847. 2/57847 Calculate 2980341 divided by 3. 993447 Divide 82 by 1837. 82/1837 -525252 divided by -4 131313 What is -19 divided by 13974? -19/13974 -1370 divided by 5 -274 Divide 1886596 by 471649. 4 What is -755987 divided by -32869? 23 Calculate 63 divided by 6882. 21/2294 What is -2176820 divided by 4? -544205 -265320 divided by 8 -33165 Divide -81408 by 13568. -6 1159 divided by 61 19 What is 1025568 divided by -256392? -4 -528 divided by 11 -48 Calculate 144 divided by -2370. -24/395 Divide 3 by -43703. -3/43703 What is 76779 divided by -3? -25593 887585 divided by -5 -177517 -7145 divided by -6 7145/6 Calculate -1036810 divided by -5. 207362 Divide -163458 by 162. -1009 Divide 0 by -315672. 0 Calculate -90944 divided by -224. 406 Divide -3 by -487679. 3/487679 What is 2 divided by 5635? 2/5635 Calculate 687494 divided by 4. 343747/2 Divide 186303 by -62101. -3 442400 divided by -5600 -79 Calculate -6300 divided by 45. -140 2 divided by 1103 2/1103 -117265 divided by -4 117265/4 Divide 22045 by -1. -22045 Divide 34932 by -164. -213 -35425 divided by 7085 -5 Divide 97124 by -24281. -4 Divide 344 by 46. 172/23 Divide -27240 by -5448. 5 -18640 divided by -5 3728 Calculate -106020 divided by -558. 190 What is 150 divided by 8? 75/4 What is 7443 divided by -7443? -1 -90 divided by -501 30/167 Divide 480825 by 160275. 3 What is 6 divided by 8984? 3/4492 Calculate 3 divided by -60025. -3/60025 Calculate -2325007 divided by -4. 2325007/4 What is -11008 divided by 172? -64 Calculate 11133 divided by 3. 3711 Calculate -1367454 divided by 62157. -22 What is -1635 divided by -36? 545/12 Calculate -3564 divided by -4. 891 Calculate -30 divided by 27367. -30/27367 What is -46602 divided by 3? -15534 Calculate -1 divided by 10432. -1/10432 Calculate 87 divided by 8250. 29/2750 What is 27 divided by 73667? 27/73667 Divide -295659 by 2. -295659/2 Divide -53009 by 4. -53009/4 Divide -1294503 by 2. -1294503/2 26754 divided by 14 1911 979500 divided by -4 -244875 Divide 302528 by 116. 2608 What is 2331 divided by -115? -2331/115 Divide 924886 by 2. 462443 -64520 divided by -12904 5 -6515706 divided by 3 -2171902 Divide 114590 by 70. 1637 -147 divided by -5 147/5 Calculate 2460 divided by 410. 6 What is 37754 divided by -2? -18877 What is 626505 divided by 11391? 55 Divide 1668528 by -6. -278088 875 divided by 126 125/18 Calculate -1 divided by -6028. 1/6028 Divide 12186 by -17. -12186/17 Calculate 16 divided by -8553. -16/8553 What is -46365 divided by -3091? 15 Calculate 5 divided by -10070. -1/2014 27796 divided by -6
{ "pile_set_name": "DM Mathematics" }
/5 - 192*k/5 - 64/5. -4*(k + 1)*(k + 2)**4/5 Let j**3/4 - 15*j**2/4 + 27*j/4 - 13/4 = 0. Calculate j. 1, 13 Find f such that 5*f**3 + 34455*f**2 + 59374575*f + 59340125 = 0. -3445, -1 Factor -2*n**4/13 + 184*n**3/13 - 362*n**2/13 + 180*n/13. -2*n*(n - 90)*(n - 1)**2/13 Solve -l**4/6 + 23*l**3/6 + 49*l**2/6 + 25*l/6 = 0. -1, 0, 25 Factor -3*w**2 + 195*w + 198. -3*(w - 66)*(w + 1) Factor g**5/2 - 7*g**4/2 + 11*g**3/2 - 5*g**2/2. g**2*(g - 5)*(g - 1)**2/2 Factor -2*k**3 - 4*k**2 + 6*k. -2*k*(k - 1)*(k + 3) Factor -5*y**4 + 27*y**3 - 50*y**2 + 36*y - 8. -(y - 2)**2*(y - 1)*(5*y - 2) What is q in -2*q**4/11 - 602*q**3/11 + 606*q**2/11 + 602*q/11 - 604/11 = 0? -302, -1, 1 Find u, given that u**5/7 - 6*u**4/7 + 13*u**3/7 - 12*u**2/7 + 4*u/7 = 0. 0, 1, 2 Solve 5*u**4/6 - 5*u**3 - 20*u**2 + 560*u/3 - 320 = 0 for u. -6, 4 Determine x so that 2*x**3/3 - 16*x**2/3 + 38*x/3 - 8 = 0. 1, 3, 4 Factor 3*u**2/8 - 57*u/8 - 63/4. 3*(u - 21)*(u + 2)/8 Factor -b**4/6 + 10*b**3/3 - 6*b**2. -b**2*(b - 18)*(b - 2)/6 Factor 2*g**5/9 - 10*g**4/9 + 2*g**3 - 14*g**2/9 + 4*g/9. 2*g*(g - 2)*(g - 1)**3/9 Factor 75*t**3/2 - 6870*t**2 - 5514*t - 1104. 3*(t - 184)*(5*t + 2)**2/2 Determine x, given that 2*x**3 + 382*x**2 - 2*x - 382 = 0. -191, -1, 1 Suppose 12*c**3 + 45*c**2 - 12*c = 0. What is c? -4, 0, 1/4 Find r such that -r**4 - 3*r**3 + 4*r**2 = 0. -4, 0, 1 Factor 2*v**2/15 - 22*v/15 + 4. 2*(v - 6)*(v - 5)/15 Determine t so that 4*t**5 + 168*t**4 + 516*t**3 - 24880*t**2 + 126144*t - 186624 = 0. -27, 4 Suppose 5*g**2 + 1080*g - 1085 = 0. What is g? -217, 1 Let -2*w**4/13 - 76*w**3/13 - 760*w**2/13 - 2900*w/13 - 3750/13 = 0. Calculate w. -25, -5, -3 Factor -2*t**5 - 10*t**4 - 16*t**3 - 8*t**2. -2*t**2*(t + 1)*(t + 2)**2 Let -16*a**5/7 + 432*a**4/7 - 1391*a**3/7 - 1867*a**2/7 + 87*a/7 + 115/7 = 0. Calculate a. -1, -1/4, 1/4, 5, 23 Suppose -32*w**4 + 400*w**3 + 702*w**2 - 424*w + 56 = 0. Calculate w. -2, 1/4, 14 Factor -4*r**2 + 112*r - 108. -4*(r - 27)*(r - 1) Factor 3*y**3 + 423*y**2 + 19881*y + 311469. 3*(y + 47)**3 Factor 4*q**4 - 1024*q**3 - 2060*q**2 - 1032*q. 4*q*(q - 258)*(q + 1)**2 Factor 126*n**2/11 - 30*n + 84/11. 6*(3*n - 7)*(7*n - 2)/11 Factor 17*s**3/3 - 359*s**2/3 + 382*s/3 - 40/3. (s - 20)*(s - 1)*(17*s - 2)/3 Determine v so that v**5/4 - 5*v**4 + 24*v**3 - 89*v**2/2 + 143*v/4 - 21/2 = 0. 1, 3, 14 Let -8*z**3/7 + 82*z**2/7 - 174*z/7 - 180/7 = 0. Calculate z. -3/4, 5, 6 Find n such that -6*n**5/7 + 11*n**4/7 + 44*n**3/7 + 31*n**2/7 + 4*n/7 = 0. -1, -1/6, 0, 4 What is x in -4*x**3/7 - 26*x**2/7 - 32*x/7 - 10/7 = 0? -5, -1, -1/2 Suppose -w**3/9 - 58*w**2/9 = 0. Calculate w. -58, 0 Factor t**2 + 54*t + 729. (t + 27)**2 Solve -2*t**4/9 - 28*t**3/9 - 22*t**2/3 + 8*t/9 + 88/9 = 0 for t. -11, -2, 1 Solve 2*m**3/9 - 32*m**2/9 + 58*m/9 - 28/9 = 0. 1, 14 Factor -2*b**3/17 + 678*b**2 - 1302438*b + 833994466. -2*(b - 1921)**3/17 Let -3*b**3 + 81*b**2 - 222*b + 144 = 0. Calculate b. 1, 2, 24 Factor s**2 + 12*s + 27. (s + 3)*(s + 9) Suppose w**5/4 + w**4/4 - 3*w**3/4 - w**2/4 + w/2 = 0. Calculate w. -2, -1, 0, 1 Solve -12*g**4 + 188*g**3 - 428*g**2 + 148*g + 104 = 0 for g. -1/3, 1, 2, 13 Factor 3*w**4/2 - 12*w**3 + 39*w**2/2 - 9*w. 3*w*(w - 6)*(w - 1)**2/2 Factor -r**4/2 - 27*r**3/2 - 100*r**2 - 174*r + 288. -(r - 1)*(r + 6)**2*(r + 16)/2 Factor -4*a**3/3 - 8*a**2/3 + 20*a. -4*a*(a - 3)*(a + 5)/3 Solve -2*c**5/5 + 8*c**4/5 + 8*c**3/5 - 68*c**2/5 + 18*c - 36/5 = 0. -3, 1, 2, 3 Factor 3*t**2 + 714*t. 3*t*(t + 238) Let 3*l**4/7 + 3*l**3 + 45*l**2/7 + 39*l/7 + 12/7 = 0. Calculate l. -4, -1 What is g in -12*g**3/5 + 9*g**2 + 12*g/5 = 0? -1/4, 0, 4 Factor -4*x**2 + 1512*x + 4572. -4*(x - 381)*(x + 3) What is k in -k**2/4 + 31*k/4 - 15/2 = 0? 1, 30 Factor -k**2 - 995*k + 996. -(k - 1)*(k + 996) Solve -12*w**4 + 224*w**3 - 140*w**2 - 72*w = 0 for w. -1/3, 0, 1, 18 Factor 5*h**2/4 - 40*h - 400. 5*(h - 40)*(h + 8)/4 Find l, given that -4*l**2/3 - 76*l/3 + 56 = 0. -21, 2 Let 49*l**4/2 - 4025*l**3 + 5142*l**2 - 1223*l + 163/2 = 0. Calculate l. 1/7, 1, 163 Factor -5*b**2/2 + 2135*b/2. -5*b*(b - 427)/2 Find k, given that -5*k**3/2 - 4375*k**2/2 - 477420*k + 479610 = 0. -438, 1 Factor 6*j**2/13 + 2*j/13. 2*j*(3*j + 1)/13 Solve -2*q**2/5 + 764*q/5 + 766/5 = 0 for q. -1, 383 Suppose 3*z**4/7 - 27*z**3/7 + 12*z**2 - 108*z/7 + 48/7 = 0. Calculate z. 1, 2, 4 Suppose -q**2 - 46*q = 0. What is q? -46, 0 Let -2*z**5/9 + 48*z**4 + 10*z**3/9 - 240*z**2 - 8*z/9 + 192 = 0. What is z? -2, -1, 1, 2, 216 Factor l**5 + 5*l**4 + 4*l**3. l**3*(l + 1)*(l + 4) Suppose -u**5/3 - 82*u**4/3 - 1837*u**3/3 - 2132*u**2 - 2028*u = 0. Calculate u. -39, -2, 0 Suppose 2*p**4 - 22*p**3 + 62*p**2 - 42*p = 0. What is p? 0, 1, 3, 7 Determine z, given that -2*z**4 + 112*z**3 + 232*z**2 = 0. -2, 0, 58 What is a in -2*a**5 + 14*a**4 + 36*a**3 = 0? -2, 0, 9 Determine a so that -4*a**5 - 240*a**4 - 5220*a**3 - 48600*a**2 - 174960*a - 209952 = 0. -18, -3 Suppose l**2 + 327*l + 972 = 0. Calculate l. -324, -3 Solve -3*k**2 - 2688*k - 602112 = 0 for k. -448 Factor k**4/5 + k**3 + 6*k**2/5 - 4*k/5 - 8/5. (k - 1)*(k + 2)**3/5 Determine u so that -243*u**4 + 2754*u**3 + 1908*u**2 + 1288*u/3 + 32 = 0. -2/9, 12 Factor 4*z**2 + 28*z - 120. 4*(z - 3)*(z + 10) Factor 3*w**5 - 9*w**4 - 9*w**3 + 33*w**2 - 18*w. 3*w*(w - 3)*(w - 1)**2*(w + 2) Factor 5*f**2/3 + 20*f. 5*f*(f + 12)/3 Determine m, given that -4*m**3 + 88*m**2 - 236*m + 152 = 0. 1, 2, 19 Let 2*z**3 + 44*z**2 = 0. What is z? -22, 0 What is k in -4*k**2 - 1880*k - 5604 = 0? -467, -3 Suppose -11*s**2 + 16*s + 12 = 0. What is s? -6/11, 2 Determine f, given that 3*f**2/5 + 78*f/5 + 507/5 = 0. -13 Find n such that -n**4/3 - 176*n**3/3 - 2693*n**2 - 28724*n/3 + 36980/3 = 0. -86, -5, 1 Determine n so that -6*n**2/5 - 86604*n/5 - 312510534/5 = 0. -7217 Factor -3*a**3 - 33*a**2 - 57*a - 27. -3*(a + 1)**2*(a + 9) Let -9*a**2/4 - 3*a/2 + 6 = 0. Calculate a. -2, 4/3 Factor -4*z**2 - 1008*z - 8748. -4*(z + 9)*(z + 243) Factor 4*p**4 + 32*p**3 + 24*p**2 - 32*p - 28. 4*(p - 1)*(p + 1)**2*(p + 7) Determine h, given that -2*h**5/11 - 180*h**4/11 + 746*h**3/11 - 52*h**2 - 744*h/11 + 752/11 = 0. -94, -1, 1, 2 What is z in -z**5/3 - 3*z**4 - 29*z**3/3 - 43*z**2/3 - 10*z - 8/3 = 0? -4, -2, -1 Find n such that -n**4/5 + 43*n**3/5 - 122*n**2/5 + 16*n = 0. 0, 1, 2, 40 Solve -3*m**4/2 + 18*m**3 - 69*m**2/2 - 54*m = 0 for m. -1, 0, 4, 9 Solve -296*i**2 - 230*i/3 - 2/3 = 0. -1/4, -1/111 Factor -6*w**2/7 + 1146*w/7 - 1140/7. -6*(w - 190)*(w - 1)/7 Factor 2*b**5/9 + 820*b**4/9 + 86480*b**3/9 + 499360*b**2/9 + 985760*b/9 + 652864/9. 2*(b + 2)**3*(b + 202)**2/9 Determine a, given that -3*a**5 + 18*a**4 - 36*a**3 + 30*a**2 - 9*a = 0. 0, 1, 3 Factor -3*o**2/4 + 3975*o/4. -3*o*(o - 1325)/4 Factor 2*l**4 - 62*l**3 + 118*l**2 - 58*l. 2*l*(l - 29)*(l - 1)**2 Find m such that 2*m**2/11 + 508*m/11 + 32258/11 = 0. -127 Determine g, given that 3*g**5 + 132*g**4 = 0. -44, 0 Determine r, given that -5*r**3 - 765*r**2 - 39015*r - 663255 = 0. -51 Factor 2*r**2/3 + 92*r/3. 2*r*(r + 46)/3 Factor -2*u**4 + 168*u**3 - 3354*u**2 - 7396*u. -2*u*(u - 43)**2*(u + 2) Suppose r**3/2 - 129*r**2/2 + 2112*r - 2048 = 0. What is r? 1, 64 Let 5*m**4 + 155*m**3 - 530*m**2 - 680*m = 0. What is m? -34, -1, 0, 4 Factor -d**4/5 - d**3 + 3*d**2/5 + 13*d/5 - 2. -(d - 1)**2*(d + 2)*(d + 5)/5 Factor -512*i**2/7 + 9024*i/7 - 39762/7. -2*(16*i - 141)**2/7 Suppose -9*l**3/4 - 1005*l**2/2 + 1343*l/4 - 56 = 0. Calculate l. -224, 1/3 Solve -2*h**5 - 56*h**4/3 + 62*h**3 - 76*h**2/3 - 16*h = 0 for h. -12, -1/3, 0, 1, 2 Factor 2*o**2 - 50*o - 108. 2*(o - 27)*(o + 2) Factor -2*p**2 - 43*p - 21. -(p + 21)*(2*p + 1) Factor -4*h**3 - 156*h**2 - 1836*h - 5780. -4*(h + 5)*(h + 17)**2 Find o such that -2*o**2 + 500*o - 31250 = 0. 125 Factor -2*x**2/5 + 46*x/5 - 84/5. -2*(x - 21)*(x - 2)/5 Let 14*x**4 + 4*x**3 - 98*x**2 - 112*x - 24 = 0. What is x? -2, -1, -2/7, 3 Solve -9*d**4 + 735*d**3 + 1749*d**2 + 1257*d + 252 = 0 for d. -1, -1/3, 84 Solve -2*t**2 - 200*t + 2442 = 0 for t. -111, 11 Factor -2*f**3/7 - 2498*f**2/7 - 786208*f/7 - 3868840/7. -2*(f + 5)*(f + 622)**2/7 Factor -4*i**2 + 1012*i - 1008. -4*(i - 252)*(i - 1) Factor -4*m**4/3 + 592*m**3 + 3600*m**2. -4*m**2*(m - 450)*(m + 6)/3 Factor -235*j**2 + 245*j - 10. -5*(j - 1)*(47*j - 2) Factor 3*y**2 - 741*y -
{ "pile_set_name": "DM Mathematics" }
-30437, -71689, -139625, -240917, -382237? -570257 What is the next term in 10071, 20311, 30857, 41865, 53491? 65891 What is next in -44971, -44858, -44613, -44170, -43463, -42426? -40993 What is the next term in -153247, -306550, -459853, -613156? -766459 What comes next: 29448549, 58897097, 88345645? 117794193 What comes next: -1, 1196, 3591, 7178, 11951, 17904, 25031? 33326 What comes next: 22873, 21618, 18217, 11596, 681, -15602? -38327 What comes next: 5899, 46184, 155181, 367246, 716735? 1238004 What is the next term in -2186, -8175, -16808, -26981, -37590, -47531, -55700? -60993 What is the next term in 59106, 118422, 177734, 237042, 296346? 355646 What is next in 32173, 64372, 96597, 128848, 161125, 193428, 225757? 258112 What is the next term in -1686, -1854, -2094, -2406, -2790, -3246, -3774? -4374 What is next in -3637713, -3637718, -3637727, -3637740, -3637757? -3637778 What comes next: -73390218, -73390219, -73390220, -73390221? -73390222 What comes next: -558548, -1117135, -1675792, -2234555, -2793460, -3352543, -3911840, -4471387? -5031220 What comes next: -502304, -1005393, -1508482, -2011571? -2514660 What is the next term in -148313, -296873, -445419, -593945, -742445, -890913, -1039343, -1187729? -1336065 What is the next term in -864, -1535, -2162, -2745, -3284, -3779, -4230? -4637 What is the next term in 1278235, 2556465, 3834695? 5112925 What comes next: 5118, 4808, 4290, 3564, 2630, 1488, 138? -1420 What is next in 1288, 3355, 6188, 9787? 14152 What is next in 199240, 199361, 199482, 199603, 199724? 199845 What is next in 73975, 73881, 73723, 73501, 73215, 72865? 72451 What comes next: 8444, 16803, 25182, 33587, 42024, 50499, 59018, 67587? 76212 What is next in 69, 2389, 8719, 21063, 41425, 71809, 114219, 170659? 243133 What is the next term in 1389266, 2778532, 4167798, 5557064, 6946330? 8335596 What is the next term in 5782028, 11564035, 17346044, 23128055, 28910068, 34692083, 40474100? 46256119 What comes next: 45458, 92176, 138896, 185618? 232342 What is the next term in -1985, -4728, -7471, -10214? -12957 What comes next: 6317235, 6317199, 6317135, 6317037, 6316899, 6316715? 6316479 What is the next term in 19120, 37929, 56738, 75547, 94356? 113165 What is next in 1657870, 1657508, 1657146, 1656784? 1656422 What is the next term in -114836, -459432, -1033758, -1837814, -2871600, -4135116, -5628362? -7351338 What is next in 489544361, 489544360, 489544357, 489544352, 489544345? 489544336 What is the next term in -477027, -477026, -477025? -477024 What is the next term in 226136, 452017, 677640, 903005, 1128112, 1352961? 1577552 What is next in -2191350, -4382702, -6574054, -8765406, -10956758, -13148110? -15339462 What comes next: -208113, -209818, -211525, -213234, -214945, -216658? -218373 What comes next: 111409, 111388, 111365, 111340? 111313 What comes next: 1297, 6633, 16011, 29431, 46893? 68397 What is the next term in 3337, 7776, 12215? 16654 What comes next: 1121, 328, -307, -784? -1103 What is the next term in -13870756, -13870833, -13870910, -13870987? -13871064 What comes next: -45664, -45702, -45742, -45784? -45828 What is the next term in -7234264, -14468511, -21702746, -28936963, -36171156? -43405319 What is the next term in -423677, -847349, -1271021? -1694693 What comes next: -207, -1095, -3483, -8121, -15759, -27147? -43035 What is the next term in -402297, -402234, -402171, -402108, -402045? -401982 What is next in 18576, 14618, 10660, 6702, 2744? -1214 What comes next: -15322, -30866, -46594, -62512, -78626, -94942? -111466 What comes next: 21418743, 21418747, 21418755, 21418767? 21418783 What is the next term in -198223195, -396446392, -594669589? -792892786 What is next in 49813, 100319, 152131, 205903, 262289? 321943 What is the next term in 65933, 65780, 65627, 65474? 65321 What is next in 1635, 1581, 1473, 1299, 1047? 705 What is the next term in 5456, 10876, 16194, 21356, 26308, 30996, 35366? 39364 What is the next term in -160096776, -160096774, -160096772, -160096770, -160096768? -160096766 What comes next: 228, 553, 1402, 3033, 5704, 9673? 15198 What comes next: 3996689, 3996682, 3996675, 3996668, 3996661, 3996654? 3996647 What comes next: 299, 11089, 29071, 54245, 86611, 126169? 172919 What is the next term in -77032138, -154064275, -231096412? -308128549 What is the next term in -7204, -14349, -21422, -28387, -35208, -41849, -48274, -54447? -60332 What comes next: 164376240, 164376239, 164376242, 164376255, 164376284? 164376335 What comes next: -18881, -36680, -54479, -72278, -90077? -107876 What is the next term in 53551, 53340, 53117, 52882, 52635? 52376 What is the next term in -9703, -9612, -9457, -9232, -8931? -8548 What is the next term in 4506, 4684, 4948, 5298, 5734, 6256? 6864 What is next in -329559, -659051, -988539, -1318023, -1647503, -1976979? -2306451 What is next in -869949, -869997, -870077, -870189? -870333 What is the next term in 4586502, 4586496, 4586488, 4586478? 4586466 What is next in 25461568, 25461574, 25461584, 25461598, 25461616, 25461638, 25461664? 25461694 What comes next: -73285416, -73285417, -73285418, -73285419, -73285420, -73285421? -73285422 What is the next term in -1474, -16154, -30834, -45514, -60194? -74874 What comes next: 3972, 3311, 1524, -1953, -7684, -16233, -28164? -44041 What comes next: 50501, 77197, 103893, 130589, 157285? 183981 What is the next term in 345878, 691082, 1036286? 1381490 What is next in -23778, -47568, -71360, -95154, -118950, -142748, -166548? -190350 What comes next: 163155, 326602, 490049, 653496, 816943, 980390? 1143837 What is the next term in -76, -1520, -6186, -15928, -32600, -58056? -94150 What is next in 143, 918, 3147, 7598, 15039, 26238, 41963? 62982 What is next in -8946, -8884, -8724, -8418, -7918, -7176, -6144? -4774 What is next in 7, -691, -1387, -2081? -2773 What is next in 2468723, 2468661, 2468599, 2468537, 2468475? 2468413 What is next in -1035350, -1036068, -1036786, -1037504, -1038222, -1038940? -1039658 What is the next term in 5325, 21332, 48011, 85368, 133409, 192140? 261567 What comes next: -429, -793, -1399, -2247, -3337? -4669 What comes next: 39579302, 39579305, 39579310, 39579317? 39579326 What comes next: -161300, -322596, -483890, -645182? -806472 What is the next term in 13351, 13406, 13461? 13516 What is next in -2784, -5626, -10376, -17046, -25648? -36194 What comes next: 235532, 471147, 706848, 942635, 1178508, 1414467? 1650512 What is the next term in -866, -1414, -1588, -1394, -838, 74? 1336 What is the next term in 9792, 9564, 9184, 8652? 7968 What is the next term in -180598, -361214, -541868, -722578, -903362, -1084238? -1265224 What is next in -17969, -73719, -166625, -296681, -463881, -668219, -909689? -1188285 What is next in 139, 1061, 3447, 7993, 15395, 26349, 41551, 61697? 87483 What is the next term in 1460, 3281, 6324, 10589, 16076? 22785 What is next in -3146659, -3146752, -3146907, -3147124, -3147403? -3147744 What comes next: 184293, 183323, 181705, 179439, 176525, 172963? 168753 What comes next: 23646, 94612, 212898, 378504? 591430 What is the next term in 31107, 124476, 280205, 498390, 779127, 1122512, 1528641, 1997610? 2529515 What comes next: -348146, -696367, -1044588? -1392809 What is next in -386256, -772514, -1158772? -1545030 What is the next term in 622370, 1244736, 1867102? 2489468 What is next in 6822450, 13644896, 20467342? 27289788 What is next in 34987729, 34987728, 34987727, 34987726, 34987725? 34987724 What is the next term in -113, -126, -109, -86, -81? -118 What is the next term in -72767578, -72767579, -72767580, -72767581? -72767582 What is next in -157325, -309792, -462259, -614726, -767193, -919660? -1072127 What is next in -18630390, -37260777, -55891164, -74521551? -93151938 What comes next: -23195, -26208, -29219, -32228, -35235, -38240, -41243? -44244 What is next in -8129, -31743, -71087, -126167, -196989, -283559, -385883? -503967 What is the next term in 39684, 39361, 38822, 38067, 37096, 35909, 34506? 32887 What is the next term in -883189, -883177, -883165, -883153, -883141? -883129 What is next in 1552547, 3105224, 4657901, 6210578? 7763255 What is next in -185, -543, -1047, -1697, -2493, -3435, -4523? -5757 What is the next term in
{ "pile_set_name": "DM Mathematics" }
l**2 - 73*l**2 - 70*l**2 - 5*l**3 + 330*l + 7*l**3 - 71*l**2. 2*l**3 + 330*l Collect the terms in -2362*n - 1702*n - 668*n - 567*n. -5299*n Collect the terms in -4*j**2 + j**3 - 4*j + 16*j**2 + 30*j. j**3 + 12*j**2 + 26*j Collect the terms in -961*s + 961*s + 379 - 379 - 2619*s**2. -2619*s**2 Collect the terms in -14256*d**3 - 2370*d**3 + 16622*d**3. -4*d**3 Collect the terms in -402*j**2 - 67*j**2 + 595*j**2 - 141*j**2. -15*j**2 Collect the terms in 11936 - 11936 + 15708*w. 15708*w Collect the terms in -154277*s**3 + 77175*s**3 + 77092*s**3. -10*s**3 Collect the terms in -2 - 9*n - 52 - 46 + 7*n + 28. -2*n - 72 Collect the terms in 50*n - 16*n - 8 - 5 - 11*n - 16*n - 15*n. -8*n - 13 Collect the terms in 6*j + 2660281238620 - 2660281238620. 6*j Collect the terms in -7927*m**2 - 28024*m + 7913*m**2 + 28022*m. -14*m**2 - 2*m Collect the terms in -6*s + 4*s + 40920 + 4*s. 2*s + 40920 Collect the terms in -12388 - 5599 + 67*g - 4*g**3 - 100017. -4*g**3 + 67*g - 118004 Collect the terms in 177*n**2 - 533*n**2 + 180*n**2 - 2 + 178*n**2 - 22*n**3. -22*n**3 + 2*n**2 - 2 Collect the terms in 101 - 201 + 339*y - 645*y + 307*y + 100. y Collect the terms in -399*a**2 - 120*a**2 + 26*a**2 + a - a. -493*a**2 Collect the terms in -27665*a**3 + 55191*a**3 - 27485*a**3. 41*a**3 Collect the terms in 390*m + 95 - 193*m - 194*m. 3*m + 95 Collect the terms in -5*n + 5*n - 7216*n**2 + 7*n + 9425 + 7218*n**2 - 2*n. 2*n**2 + 5*n + 9425 Collect the terms in -2 - 1 + 18456365724*h**2 - 18456365734*h**2. -10*h**2 - 3 Collect the terms in 136933*g**3 + 136929*g**3 + 2*g**2 - 273860*g**3 - 110*g - 2*g**2. 2*g**3 - 110*g Collect the terms in 5*f - 3*f - 282*f**2 - 2*f + 9*f**2. -273*f**2 Collect the terms in 2914 - 9*a - 2914 + 9*a + 26183*a**3. 26183*a**3 Collect the terms in -38043*x - 2*x**2 + 75623*x - 38058*x. -2*x**2 - 478*x Collect the terms in 1878*a**2 + 1872*a**2 + 1861*a**2 - 52*a**3 - 7261*a**2 + 1650*a**2 + 51*a**3. -a**3 Collect the terms in -1781*k**2 + 7205*k**2 - 1763*k**2 - 1795*k**2 - 1803*k**2. 63*k**2 Collect the terms in -105 - 232 + 597*q - 103 + 440. 597*q Collect the terms in -18 + 5 - 9179*z + 8663*z. -516*z - 13 Collect the terms in -484*n**2 - 29*n**3 + 177 - 180 + 483*n**2. -29*n**3 - n**2 - 3 Collect the terms in 549*k + 489*k + 518*k + 510*k - 1898*k. 168*k Collect the terms in 21 + 16 - 388215*x - 37. -388215*x Collect the terms in 59*n**2 - 106 + 12941*n**3 - 59*n**2 + 106. 12941*n**3 Collect the terms in -37*j - 1 + 18*j + 19*j - 914817*j**2 + 0. -914817*j**2 - 1 Collect the terms in 19 + 27 - x - 24*x**3 - 4*x - 9 - 6*x**3. -30*x**3 - 5*x + 37 Collect the terms in -7632*w**2 + 36221*w**2 + 202093*w**2. 230682*w**2 Collect the terms in 976*v + 1221*v + 2603*v + 4528*v. 9328*v Collect the terms in 22*z + 77*z + 18*z + 4 - 1 - 143*z + 25*z. -z + 3 Collect the terms in 4*i - 2*i - 205*i**2 + 129*i**3 - 91*i**2 - 140*i**3. -11*i**3 - 296*i**2 + 2*i Collect the terms in -3455*r**2 + 15*r + 658*r**2 + 2900*r**2. 103*r**2 + 15*r Collect the terms in -50 - 76 - 110*n + 141*n + 133 - 70*n. -39*n + 7 Collect the terms in -18*x - 21*x**2 - 14 + 30 - 8*x - 16 - 9*x. -21*x**2 - 35*x Collect the terms in -89*h - 101*h + 2 + 2*h**2 - 100*h + 334*h + h**2 - 98*h. 3*h**2 - 54*h + 2 Collect the terms in 35796*a + 11144*a + 58824*a. 105764*a Collect the terms in -28*o**2 + 2*o**2 - 1 + 1673*o - 814*o - 859*o + 2. -26*o**2 + 1 Collect the terms in 1827 - 625 + 5*w - 577 - 625. 5*w Collect the terms in 105*b**3 + 9589*b - 18613*b + 9024*b. 105*b**3 Collect the terms in -38*w**2 - 92*w**2 + 22*w**2 - 15*w**2 - w**2 + 8*w**3. 8*w**3 - 124*w**2 Collect the terms in -97*g**2 - 745284*g + 372694*g + 372590*g. -97*g**2 Collect the terms in 421*y**3 - 1236*y**3 + 428*y**3 + 411*y**3. 24*y**3 Collect the terms in -853*s**2 + 2371*s**2 - 814*s**2 - 788*s**2. -84*s**2 Collect the terms in -6*v + 9*v - 2*v + 12*v**2 - 9*v**2. 3*v**2 + v Collect the terms in 1382*h - 254*h - 504180 + 504180 + 2541*h. 3669*h Collect the terms in -124*i**3 + 17*i**3 + 28*i**3 + 21*i**3 + 27*i**3 + 33*i**3. 2*i**3 Collect the terms in -18*j - 542996*j**3 + 542994*j**3 + 15*j + 3*j. -2*j**3 Collect the terms in 212*h**2 - 27*h**2 - 87*h**2 - 32*h**2 - 29*h**2 - 21*h**2. 16*h**2 Collect the terms in 1 - 4*w**2 + 4580*w + 0 + 1 + 5*w**2. w**2 + 4580*w + 2 Collect the terms in 91*p**2 - 251*p**2 + 101*p**2 + 72*p**2. 13*p**2 Collect the terms in 496319*o**2 - 676 + 676. 496319*o**2 Collect the terms in 34*p - 34*p + 6083810*p**3 - 6083807*p**3. 3*p**3 Collect the terms in -13*m**2 - 329363424 + 329363424 + 16*m**2. 3*m**2 Collect the terms in 27991*m - 56005*m - 1 + 27988*m. -26*m - 1 Collect the terms in 3*a**3 + 92901 + 52466 + a**3 - 2*a**3. 2*a**3 + 145367 Collect the terms in -116 + 239*g + 7*g**2 - 239*g - 810. 7*g**2 - 926 Collect the terms in 82*j**2 - 24*j + 24*j - 181*j**3 + 85*j**2 - 167*j**2. -181*j**3 Collect the terms in -53*s**3 + 8952 - 2986 - 2982 - 2982. -53*s**3 + 2 Collect the terms in -36*i + 56*i**3 + 4 - 28*i**3 - 31*i**3 - 3 - 1. -3*i**3 - 36*i Collect the terms in 1700 + 0*q + 2*q + 1905 - 101. 2*q + 3504 Collect the terms in -5 + 4 - 266*g**2 + 94*g**2 - 16*g**3. -16*g**3 - 172*g**2 - 1 Collect the terms in 6034*t + 133 + 133 + 175*t + 142 - 411. 6209*t - 3 Collect the terms in -44*y - 2 - 305*y + 354*y - 50*y - 2. -45*y - 4 Collect the terms in 150*t**3 - 1191*t**2 + 2389*t**2 - 146*t**3 - 1198*t**2. 4*t**3 Collect the terms in 628*l**2 - 2501*l**2 + 658*l**2 + 643*l**2 + 663*l**2. 91*l**2 Collect the terms in -14*p - 11*p + 52*p - 13*p - 10*p - 9*p + 225. -5*p + 225 Collect the terms in b - 1175 - 786*b**3 + 1593*b**3 - 859*b**3 + 0*b. -52*b**3 + b - 1175 Collect the terms in -1732*m**3 + 445*m**3 + 433*m**3 + 429*m**3 + 445*m**3. 20*m**3 Collect the terms in -53966564 + 46567*x**2 + 53966564. 46567*x**2 Collect the terms in -853*q**3 + 2*q + 639 + 830 - 1469. -853*q**3 + 2*q Collect the terms in -11444*c - 14*c**3 + 13*c**3 - 1295*c. -c**3 - 12739*c Collect the terms in 1665*b - 6*b**3 - 4146*b + 2011*b. -6*b**3 - 470*b Collect the terms in -1063*v - 1215*v + 2208*v. -70*v Collect the terms in 89*b**3 + 28 + 4*b**2 - 46 + 10*b**3 - 41. 99*b**3 + 4*b**2 - 59 Collect the terms in -1663*j**2 + 674*j**2 + 998*j**2. 9*j**2 Collect the terms in -200853*k + 66961*k - 3 + 66944*k + 66958*k. 10*k - 3 Collect the terms in -158051*i**3 + i**2 - 179394*i**3 + 337447*i**3 - i**2. 2*i**3 Collect the terms in -14957213018 + 14957213018 + d**2. d**2 Collect the terms in -11*k**3 + 31*k**2 - 12*k**3 + k**3 - 11*k**3 - 30*k**2 - 34*k**3. -67*k**3 + k**2 Collect the terms in -12925*f - 24*f**2 + 23*f**2 - 51210*f + 8804*f. -f**2 - 55331*f Collect the terms in 883*n**2 - 1658*n**2 + 1028*n**2. 253*n**2 Collect the terms in 5*o + 1077*o - 80*o - o - 5. 1001*o - 5 Collect the terms in -195 + 112 - 328966*n + 83. -328966*n Collect the terms in 699*b + 12*b**2 + b**3 + 12*b**2 - 63*b**2 + 40*b**2. b**3 + b**2 + 699*b Collect the terms in 290*g**2 - 381*g**2 + 2*g**3 - 182*g**2. 2*g**3 - 273*g**2 Collect the terms in -1999*c**3 + 1243*c**3 + 5622*c**3 + 5184*c**3 + 12100*c**3. 22150*c**3 Collect the terms in -922*i - 927*i - 923*i - 929*i - 923*i + 4612*i. -12*i Collect the terms in 5103268*x**3 - 8*x + 8*x. 5103268*x**3 Collect the terms in 23*j + 84 - 174 + 28. 23*j - 62 Collect the terms in -2606*o**3 - 1566*o - 1536*o + 4*o**2 + 2619*o**3 - 4*o**2. 13*o**3 - 3102*o Collect the terms in -54*i**2 - 798*i + 798*i + 179*i**2 - 12*i**3. -12*i**3 + 125*i**2 Collect the terms in 129 - 129 - 410911*n. -410911*n Collect the terms in -4490328*k**2 + 2244946*k**2 + 2245380*k**2. -2*k**2 Collect the terms in -11*y - 23*y + 6*y - 24*y + 81*y - y**3 + 3*y**3. 2*y**3 + 29*y Collect the terms in -525*q**3 - 479*q**3 - 483*q**3 + 1443*q**3. -44*q**3 Collect the terms in 3146300 - 5*h**2 - 26*h + 26*h + 12*h**2 - 2*h**2 - 3146298 + 23*h**2. 28*h**2 + 2 Collect the terms in 16961*g + 2 + 1295*g + 92140*g. 110396*g + 2 Collect the terms in -6881450 - 92*f - 23*f**2 + 6881450 + 107*f - 15*f. -23*f**2 Collect the terms in 626*f**2 - 1154*f**2 + 1005*f**2 + 310*f**2 + 167*f**2. 954*f**2 Collect the terms in 48299*v - 17310*v - 18947*v. 12042*v Collect the terms in 5911730566 - 5911730566 + 7*u. 7*u Collec
{ "pile_set_name": "DM Mathematics" }
ose 169078 = 65*t - 484822. Is t a multiple of 10? True Let k = 726 + -431. Let f = k + -62. Does 45 divide f? False Suppose -2*i - 2*u = -76214, 13*u - 190527 = -5*i + 10*u. Does 16 divide i? False Suppose 6*y - 25181 - 6589 = 0. Is 15 a factor of y? True Let f(c) = -2*c**2 - 18*c - 6. Let z be f(-8). Does 22 divide (-46)/115 - 128/z*-43? True Suppose 0 = -10*g + 4*g + 162. Suppose -g*o = -23*o - 1436. Does 51 divide o? False Suppose -3*n - 11 = 1. Let v be (13/n)/(10/(-40)). Let p = v + 191. Is 34 a factor of p? True Suppose -2*j + 3*x + 8369 = 0, 159*j - 161*j + 8320 = 4*x. Is j a multiple of 25? False Let a = 40 - 97. Suppose t = 5*b + 32, 0*b = -4*b - t - 22. Does 3 divide a/(-2) - (7 + 51/b)? True Let o = 7407 + -5330. Is 34 a factor of o? False Let n = -9836 - -17094. Suppose 5430 + n = 13*q. Is q a multiple of 10? False Let f(b) = b**2 + 85*b - 2962. Does 7 divide f(41)? False Suppose -22*x = -25*x + 15. Suppose -x*c - 18 = 7. Is 2 a factor of (1 - (-5)/c) + 7? False Suppose -52*x + 53*x = 5. Suppose -x*j - 654 + 2115 = y, 0 = -5*y + 2*j + 7305. Is y a multiple of 9? False Let u be 273/(-910) - 3/(-10). Does 37 divide (-323)/(-646) - (u + 5918/(-4))? True Let i(y) = -y**2 + 39*y - 64. Suppose o + 5*o = 162. Is 21 a factor of i(o)? False Suppose 2*p - 4*v = 21 + 9, 3*v = -3*p. Suppose 249 = j - 3*b, -14*j - p*b + 691 = -11*j. Does 50 divide j? False Suppose -5*h + 736 + 494 = 0. Let p = h - 8. Is p a multiple of 34? True Suppose 100*n - 1232830 - 634670 = 0. Is 225 a factor of n? True Let r be ((-30)/9)/(2/(-3)). Suppose -4*i = -3*d + 157, -i + r*i + 102 = 2*d. Is d a multiple of 7? False Suppose 3*l - 6 = -4*s, -12*s + 15 = 5*l - 7*s. Suppose -l + 5 = n, -k = -3*n - 7. Does 29 divide -145*(1 - k - -2)? True Let i = 3564 + -1215. Does 29 divide i? True Let v be 23*(-3 - (-4)/1). Suppose 2*h = -j + 398, -3*j + v = h - 181. Is h a multiple of 11? True Let o(g) = -2*g**3 - 4*g**2 + 6*g - 2. Let a be o(-4). Suppose -c - 5*q + a + 9 = 0, 298 = 4*c - 2*q. Does 18 divide c? True Let x(o) = -56*o + 1. Let w be x(1). Let g be (-65 - -12) + (5 - -7). Let a = g - w. Does 7 divide a? True Let x(w) = -58*w**3 - 26*w - 564. Is x(-9) a multiple of 19? True Let o be 0 + (-8)/14*14154/(-12). Suppose 4*q = -3*l + 2713, q - l - o = -6*l. Is q a multiple of 7? True Let w(y) be the third derivative of 67*y**5/60 - y**4/8 - y**3/3 - 3*y**2 - 1. Does 10 divide w(-1)? False Let b(y) = y**3 + 12*y**2 + 5*y - 6. Suppose 5*v = -4*w + 57, 4*v + 2*w - 42 = -0*v. Suppose -v*g = 67 + 23. Is 18 a factor of b(g)? True Suppose -2*o = r + o + 98, -4*r - 4*o = 352. Let f = r + 89. Let d(u) = 3*u**2 - 6*u + 36. Is d(f) a multiple of 24? False Suppose 2*g - w = 15267 + 1005, -3*w + 16272 = 2*g. Is 18 a factor of g? True Let n(u) = -u**3 + 29*u**2 - 19*u + 22. Let j(y) = y**3 - 30*y**2 + 19*y - 23. Let l(z) = 3*j(z) + 4*n(z). Is 16 a factor of l(25)? False Let f(i) be the first derivative of i**4/4 - 19*i**3/3 - 5*i**2/2 - 5*i + 82. Does 48 divide f(20)? False Suppose -85 = -20*b - 5. Suppose -8 = -b*t + 2*t. Suppose -4*g = 3*k - 278 - 290, t*g = 5*k + 600. Is 15 a factor of g? False Let t = 12183 + -7591. Is 56 a factor of t? True Suppose c + 1026 = 5*o, 10*c = 12*c + 3*o + 2052. Let r = c - -1523. Is r a multiple of 23? False Let c(f) = f**2 - 19*f - 22. Let d be c(20). Let m be d/(-9) - (-1058)/18. Let l = m + 37. Is l a multiple of 38? False Suppose -2*p - 904 = -6*p. Suppose -5*v = -3*v - p. Suppose 0 = -5*s - v + 738. Is s a multiple of 25? True Let s = -1068 + 2779. Is s a multiple of 29? True Suppose -42*u - 8105 + 29401 = -40*u. Is u a multiple of 111? False Is 7 a factor of 5906/3 + (-2224)/834? False Let k(t) = t**3 + 20*t**2 + 24*t + 175. Let a(j) = -5*j - 124. Let y be a(-21). Does 16 divide k(y)? True Let u be 1 + 0 + 220/(-5). Let v = -36 - u. Let l = 4 + v. Is 2 a factor of l? False Let p be (-4)/(-36) - (-185)/(-45). Is 3 a factor of p/7 + 30*(-20)/(-21)? False Suppose 5*a + s - 495 = 0, -104 = -a + 5*s - 31. Let o = 144 - a. Suppose 0 = -q + 5*y + 55, q = 6*y - 4*y + o. Does 8 divide q? True Let y be 2352/(-15) + ((-36)/(-20) - 2). Let w = y + 280. Does 14 divide w? False Does 24 divide (-1 - 0)*(12258 - 0)*(-160)/120? True Let d(p) = p + 5. Let h be d(15). Suppose h = -4*b - 5*j, 0*b - 3*j - 12 = 2*b. Suppose b = -f + 8 + 20. Does 11 divide f? False Let m = 309 + -305. Is 11 a factor of ((-90)/(-4))/(2/m)? False Let y(v) be the second derivative of v**4/12 + 5*v**3/3 - 9*v**2 - 16*v - 1. Does 3 divide y(3)? True Let y = -40895 - -61477. Is y a multiple of 169? False Let c be 2/(-12)*-2*9. Let j(v) = v**3 - v**2 - 6*v + 5. Let t be j(c). Suppose t*d - 4*x = 2*d + 139, 0 = 2*d - 4*x - 98. Is d a multiple of 41? True Let p = 1331 - -27357. Does 32 divide p? False Let d be (-70)/(-560) + 31/8. Suppose t + d*m = 270, -5*m + 543 = -18*t + 20*t. Is t a multiple of 9? False Let h(p) = -p**2 - p + 1. Let f(j) = 4*j**2 - 42*j - 55. Let l(d) = -f(d) - 2*h(d). Is l(22) a multiple of 10? False Let b = 18 - 14. Let f be 54*(-117)/(-6) + 5 + -2. Suppose 4*c = -b*c + f. Does 43 divide c? False Let z(n) = 2*n**2 + 6*n + 1. Let o be z(-2). Does 9 divide (6/(-4))/(o + 4983/1662)? False Let i = -129 - -155. Let p(o) = -3*o + 106. Does 4 divide p(i)? True Let z(k) = -k - 5. Let s be z(-5). Suppose -10*h + 4*h + 96 = s. Does 10 divide 20 + 1/((-4)/h)? False Suppose 44 - 14 = 6*s. Suppose 477 = -s*b + 8*b. Let g = b - 42. Is g a multiple of 13? True Suppose -2*i + 1291 = -j, 0 = -j - 3 - 0. Suppose -12*o - i = -40*o. Is o a multiple of 4? False Suppose 0 = -6*x - x + 28. Let f be 2 + -2 - -4*346/x. Suppose 9*m - 644 = f. Is m a multiple of 23? False Let d = 4252 + -268. Is d a multiple of 48? True Let n be 2/(-2)*(-29 + 9). Suppose n*k - 14*k = 1818. Does 21 divide k? False Let u be 6/2 - (-6 + -36). Suppose -48 = -b - 5*c, 4*b + 4*c - 179 = u. Is 14 a factor of (-2)/4*4 - (2 - b)? False Suppose 3*c = -2*r + 21 - 12, -5*r + 18 = 3*c. Let z(m) = 392*m**3 + m**2 - 5*m + 3. Is z(c) a multiple of 21? False Let b(q) = -4*q - 16. Let l be b(-4). Suppose l = -i - 28 + 38. Suppose n - 48 = h, -n + 4*h + 41 = -i. Is n a multiple of 11? False Suppose -z = 4*g - 3078, -5*g + 7*z + 3840 = 12*z. Suppose -3*p + 774 = 5*c - c, p = -4*c + g. Suppose 0 = -3*o - 3*o + c. Does 16 divide o? True Let x(d) = -58*d - 86. Does 67 divide x(-50)? True Let t = 178 + -117. Let i = 70 - t. Let o(l) = 2*l**3 - 18*l**2 + 4*l + 4. Is 22 a factor of o(i)? False Suppose 1 = c + 5*f, -3*c + 3*f = -c + 24. Let o = -759 - -758. Is (-4 - o)*3*c a multiple of 9? True Suppose 2*o = -2*k + 4885 + 20267, -4*o - 5*k + 50310 = 0. Is o a multiple of 30? True Suppose 250*k + 72 = 254*k. Let c(b) be the third derivative of 5*b**4/24 - 13*b**3/6 + 3*b**2. Is c(k) a multiple of 16? False Let z be 7/(-2)*48/28. Does 12 divide z/((-148)/29 + 5)? False Does 51 divide (120/((-28)/(-7)))/(-4 - (-5758)/1439)? False Suppose 10 = 2*f - m, f = -5*m - 3 - 3. Let r(o) = -14*o - 416. Let y be r(-30). Is (y/3)/f*87 a multiple of 10? False Let j = 607 - 563. Suppose 30*y - j*y = -406. Does 14 divide y? False Suppose -17*c - 2050 = -3*b - 13*c, -2*b - 2*c = -1348. Suppose 9*n - b = 402. Is 10 a factor of n? True Suppose 22*w = 23*w + 7. Is 6 a factor of (w + (-62)/(-4))*(-2 - -78)? False Let t = 8 + 3. Does 5 divide 5*t*45/25 + -4? True Let j(x) = -3. Let f(v) = 35*v + 270. Let r(d) = -f(d) + 5*j(d). Is r(-16) a multiple of 55? True Suppose -2*i = k - 0*i - 204, 393 = 2*k + i. Suppose 0 = 3*o - 403 - k. Is o a multiple of 33? False Suppose -2*j - 4*l - 7 - 5 = 0, 0 = -3*j - 3*l - 3. Suppose -4*g - j*s - 504 = -6*g, 251 = g - s. Let t = g - 102. Is t a multiple of 47? False Let d = -241 + 5. Let s = 551 + d. Does 10 divide s? False Let b = 25735 + -25368. Is b even? False Let j(t) = 43*t**2 - 10*t + 187. Does 12 divide j(17)? True Does 24 divide (-4)/(-3 + 8 - (12735/(-2545))/(-1))? False Suppose 0 = -6*s - 23982 + 5976. Is s/(-4) + 2*1/(-8) a multiple of 27? False Suppose -2*c + 4094 = 2*w, -3*w + 6147 = -36*c + 33*c. Is w a multiple of 32? True Let z(v) = -v**3 - v**2 - 4. Suppose 22*i + 75 = 7*i. Let p = -8 - i. Does 7 divide z(p)? True Let u(n) = -9*n - 16. Let t(q) = -q + 1. Let j(v) = 15*v + 9. Let o(w) = -j(w) - 6*t(w). Let a(p) =
{ "pile_set_name": "DM Mathematics" }
390 wrt w. 3410521*n**2 Find the second derivative of 1265*a**2*h - 7*a**2*n - 5*a*h - 2*a + h*n + 56*n + 1 wrt a. 2530*h - 14*n Find the first derivative of y**4 + 1454592*y**2 - 1982514 wrt y. 4*y**3 + 2909184*y Find the second derivative of -18254*b**5 + 2*b**3 - b**2*o + 2*b**2 + 2920375*b*o wrt b. -365080*b**3 + 12*b - 2*o + 4 What is the third derivative of 5715748*s**3 + 24*s**2 + 13195*s? 34294488 What is the first derivative of -27304*w**2 - 12807? -54608*w Find the third derivative of -10446*f**5*s + 2*f**4*s + 1081*f**2*s wrt f. -626760*f**2*s + 48*f*s What is the second derivative of -19*f**2*z**2 - 197*f**2*z - 7*f*t*z**2 - 3*f*t*z + f*t + 3*f - 420*t*z**2 wrt z? -38*f**2 - 14*f*t - 840*t Find the first derivative of -2640687*y - 3486002 wrt y. -2640687 What is the first derivative of -79897*w - 39871 wrt w? -79897 Find the second derivative of -2*f**4 - 77*f**3 - 3483*f**2 - 554879*f wrt f. -24*f**2 - 462*f - 6966 Find the third derivative of -105751*w**5 + 3*w**3 - 2*w**2 + 95*w + 255 wrt w. -6345060*w**2 + 18 Find the second derivative of -13*m*r**3*y - 20717*m*r**2*y**2 + r**3*y**2 - 3*r**3*y + y + 1 wrt y. -41434*m*r**2 + 2*r**3 Find the third derivative of -73182*k**3*y - 38*k**2*y - 65*k**2 + 2*y wrt k. -439092*y What is the first derivative of -8*i**2*x**2 + 28*i**2*x - 2*i**2 - 7*i + 132*x + 730 wrt x? -16*i**2*x + 28*i**2 + 132 Differentiate -5431500*j**2 - 5997369 with respect to j. -10863000*j What is the third derivative of 2627624*r**4 + 313*r**2 + 1007*r? 63062976*r Find the second derivative of 1644393*t**2 - 24*t - 20835. 3288786 Differentiate -370165*s**3 - 354602 wrt s. -1110495*s**2 Differentiate -32*p**2*x**2 - 772*p**2*x - 58866*p**2 + 2*p*x - 2*p wrt x. -64*p**2*x - 772*p**2 + 2*p What is the second derivative of -31*j**4 + 634*j**3 + 2*j**2 + 595154*j? -372*j**2 + 3804*j + 4 What is the second derivative of 45065*f**2*i**2 - 4*f**2*i*p**2 - 280*f**2*i*p + f*i*p**2 + 2*f*i*p + 100*f*p**2 + 17*i**2*p**2 wrt i? 90130*f**2 + 34*p**2 What is the first derivative of -66175*i*l - 124371*i - 2*l wrt l? -66175*i - 2 Find the third derivative of -10868*z**3 + 212820*z**2 - 2*z - 1 wrt z. -65208 What is the derivative of 27*u*w**4 + 754*u*w**2 - 48684*u wrt w? 108*u*w**3 + 1508*u*w What is the derivative of 236515*b + 99579 wrt b? 236515 Find the third derivative of 40*i**4*o**2 + 363*i**4*o + 2*i**3*o - 29*i**2 - 242*o**2 wrt i. 960*i*o**2 + 8712*i*o + 12*o Find the third derivative of 16*d**5*x**3 + 55*d**5 + 36*d**2*x**3 - 3*d**2*x**2 + 6*d**2 - 3*x**2 wrt d. 960*d**2*x**3 + 3300*d**2 Differentiate 224531*j*k*l**2 + 2*j*k - j*l + 306*j - 2*k wrt l. 449062*j*k*l - j Find the second derivative of 22446*j**3 - 4*j**2 + 164847*j wrt j. 134676*j - 8 What is the first derivative of 57374*a + 1974889? 57374 Find the third derivative of -290*p*x**3 + 4*p*x**2 + 59*x**3 + 8*x**2 - 13*x - 2 wrt x. -1740*p + 354 Find the first derivative of -h*u**3 - 283*h*u*y + 59*h*y - 95*u**3*y + 2*u**3 + u - y wrt h. -u**3 - 283*u*y + 59*y Find the second derivative of -462033*h**2 + 233687*h. -924066 What is the second derivative of -266836*d**2*y - 17392*d*y - 5*d wrt d? -533672*y Find the second derivative of 17*i**4 - 10407*i**3 - 12*i + 77710. 204*i**2 - 62442*i What is the third derivative of -10*d**6 - 106*d**4 - 5*d**3 + d**2 - 16297 wrt d? -1200*d**3 - 2544*d - 30 What is the second derivative of 306*q**4 + q**3 - 14*q**2 - 264*q + 371 wrt q? 3672*q**2 + 6*q - 28 Find the second derivative of 2*k**2*t**2 - 2*k**2*t - 4425*k**2 - k*t**2 + k*t + 140*k - 2*t**2 wrt k. 4*t**2 - 4*t - 8850 What is the third derivative of -c*s**3 - 676*c + 29901*s**3 - s**2 - 6*s wrt s? -6*c + 179406 Find the second derivative of 24467*x*y**2 + 79*x*y - 6*x + 4*y + 10 wrt y. 48934*x Find the third derivative of 3*c**2*w**3 - 4*c**2 - 2*c*w**2 + 483*c - 4351*w**3 wrt w. 18*c**2 - 26106 What is the second derivative of 45736*j**3 - 4*j**2 + 665419*j? 274416*j - 8 Differentiate -22*l**3 + 22*l - 12613 with respect to l. -66*l**2 + 22 Find the third derivative of 110*o**5 - o**4 + 183*o**3 + 51239*o**2 wrt o. 6600*o**2 - 24*o + 1098 What is the third derivative of -335*c**4 + 1344*c**3 + 2*c**2 + 8*c + 1309 wrt c? -8040*c + 8064 What is the first derivative of 1075*c**3*m - 303386*c**3 + 3*c**2*m - m wrt m? 1075*c**3 + 3*c**2 - 1 What is the second derivative of -19*u**5 - 18451*u**4 + 106299*u? -380*u**3 - 221412*u**2 Find the third derivative of -2*x**6 - 1644562*x**5 + 4357948*x**2 wrt x. -240*x**3 - 98673720*x**2 What is the first derivative of -177979*z**2 - 2*z - 136175 wrt z? -355958*z - 2 What is the derivative of -2826*h**4 + 5*h**2 + 2*h - 51476? -11304*h**3 + 10*h + 2 What is the third derivative of 183651*c*q**4 + 49616*c*q**2 + c*q wrt q? 4407624*c*q What is the second derivative of 101642*o**4 - 13*o**2 + 12*o - 93398 wrt o? 1219704*o**2 - 26 Find the second derivative of -66*a**3*f**2 + 27624*a**3*s - 2*a**3 - 617*f**3*s + f**2*s - 38*f*s wrt f. -132*a**3 - 3702*f*s + 2*s What is the third derivative of 139*q**4 - 1557*q**3 - 671*q**2 + 191*q? 3336*q - 9342 What is the derivative of -35625*u**3*v - u**3 - 2*u**2*v**2 + 2*v - 67083 wrt v? -35625*u**3 - 4*u**2*v + 2 What is the third derivative of 11*b**5 + 44*b**4 + 12611*b**2 + 3 wrt b? 660*b**2 + 1056*b What is the third derivative of -41235*i**2*t**3 - 10*i**2*t**2 + 36*i**2 + 34*t**2 + 2*t wrt t? -247410*i**2 What is the derivative of 61864*s**3*v - 3*s*v**2 - 5*v**2 + 6622 wrt s? 185592*s**2*v - 3*v**2 What is the second derivative of 9*a**3*h**3 + 2*a**2*h**3 + 111*a**2 + 1477*a*h**2 - 4*a*h + h**3 wrt a? 54*a*h**3 + 4*h**3 + 222 What is the third derivative of 1453*o**4 + 27*o**3 + 135324*o**2? 34872*o + 162 Find the first derivative of -3*v**3 - v**2 - 352*v + 26199. -9*v**2 - 2*v - 352 What is the second derivative of 1672*i**2 - 29915*i wrt i? 3344 What is the first derivative of 181342*l**4 + 80934 wrt l? 725368*l**3 Find the second derivative of 73*z**3 - 4335*z**2 + 799*z - 1198 wrt z. 438*z - 8670 Find the third derivative of 3*q**4 - 2144*q**3 + 31*q**2 - 1925*q + 8 wrt q. 72*q - 12864 Find the second derivative of 40760*d**5 + 17062*d wrt d. 815200*d**3 What is the second derivative of 194*k**3*u**2 - 2*k**3*u - 1379*k**2 - 7*k + 30*u**2 wrt u? 388*k**3 + 60 What is the second derivative of 654114*g**2 - 2718*g - 47? 1308228 What is the first derivative of 19042*f**3 + 38233? 57126*f**2 What is the derivative of 8*d*y**3 - 4*d*y**2 + 4*d - 47*y - 5552 wrt y? 24*d*y**2 - 8*d*y - 47 Find the second derivative of -16*o**5 - 17178*o**3 - 204330*o wrt o. -320*o**3 - 103068*o What is the second derivative of -117*n**3*x**2 - 2*n**3 + n**2*x**2 - 52595*n*x**2 wrt n? -702*n*x**2 - 12*n + 2*x**2 What is the third derivative of -7813*o**3 - 5*o**2 - 1266*o wrt o? -46878 What is the third derivative of 2*h*t**5 + 2*h*t**4 + 19822*h*t**3 - 13*h*t**2 - 3884*h wrt t? 120*h*t**2 + 48*h*t + 118932*h What is the first derivative of 318*j**3*q*y + 21*j**3*y + 75*j**3 + 5*j**2*q - 2*j*q*y + 411 wrt y? 318*j**3*q + 21*j**3 - 2*j*q What is the second derivative of l**4 + 15011*l**3 - 22946*l? 12*l**2 + 90066*l Find the third derivative of -28904*w**4 + 2*w**3 - 439325*w**2. -693696*w + 12 Find the first derivative of -34500*z**3 - 12*z**2 - 3880714. -103500*z**2 - 24*z Find the third derivative of -d**5 - 7550*d**3 + 36*d**2 + 13*d wrt d. -60*d**2 - 45300 What is the derivative of 194*c**3 + c**2 + 1645*c + 5291697 wrt c? 582*c**2 + 2*c + 1645 Find the second derivative of k**4 - k**3 - 14756*k**2 + 40*k - 78. 12*k**2 - 6*k - 29512 What is the second derivative of 100*m**4 + 9995*m**3 + 24*m + 434 wrt m? 1200*m**2 + 59970*m Differentiate 159*g**4 - 1341*g**3 + 366333 with respect to g. 636*g**3 - 4023*g**2 Find the first derivative of 847552*x**2 - 453975. 1695104*x What is the third derivative of 3194194*a**2*c**3 + 231757*a**2*c**2 wrt c? 19165164*a**2 Find the second derivative of -1006526*m**2*r - 3045*m*r - 130*m wrt m. -2013052*r Differentiate -1223*a*k + 29326*a - 115*k**3 + 6 with respect to k. -1223*a - 345*k**2 Find the second derivative of 2*b**4 - 14615*b**3 + 2*b**2 - 149*b - 37. 24*b**2 - 87690*b + 4 Find the first derivative of 49*k**4 + k**2 + 2*k - 57025 wrt k. 196*k**3 + 2*k
{ "pile_set_name": "DM Mathematics" }
- 187*a**2 - 76*a**5 + (-2*a - 2*a + 2*a)*(-4*a**4 + 3*a**4 + 0*a**4). -74*a**5 + 2*a**3 Expand (-117*l - 25*l - 67*l)*(-4 + 1 - 2). 1045*l Expand (-g**4 + g**4 + 2*g**5)*(-3 + 4 - 3) + 3*g**5 + 2*g**5 - 6*g**5 - 242*g**5 - 1230*g**5 - 321*g**5. -1798*g**5 Expand (-933 + 933 - 46*y)*(y - y - 2*y**2) + 2*y**3 - 3*y**3 + 3*y**3. 94*y**3 Expand -2*c**3 + 5*c**3 - c**3 + (-2*c**2 + 2*c**2 + c**2)*(-c + 21 + 36 + 13). c**3 + 70*c**2 Expand (-4 + 4 + g)*(1 - 1 + 1)*((6 - 2 - 2)*(0*g**2 + 3*g**2 - 5*g**2) - 16*g**2 + 6*g**2 - 27*g**2). -41*g**3 Expand (2*n**2 - 3*n**2 + 4*n**2)*(-4*n**3 - n**3 + 3*n**3) + 8*n**5 - 3*n**2 + 7*n**4 - 14*n**5 + 5*n**5. -7*n**5 + 7*n**4 - 3*n**2 Expand (24*g + 6*g - 6*g)*(-3*g**3 - 2*g**3 + 3*g**3) + (g**3 + 2*g**3 - 4*g**3)*(-3*g - g + 2*g) + 4*g**3 + 3*g**4 - 4*g**3 - g**4 + 0*g**4 + 0*g**4. -44*g**4 Expand 0*w**2 + 2*w**2 + 0*w**2 + (2*w**2 + 0*w + 0*w)*(-4 + 2 - 2) - 4*w**2 + 4*w**2 - 3*w**2 + (0*w + w + 0*w)*(w - 4 + 4). -8*w**2 Expand (4*p + 21*p - 6*p)*(4*p**3 - 3*p**3 + p**3 + (1 + 2 + 2)*(2*p**3 - p**3 + 0*p**3)). 133*p**4 Expand (-t**2 + 12*t + 4 - 13*t - 4*t)*(0*t + 3*t + 3*t). -6*t**3 - 30*t**2 + 24*t Expand (-227*y + 2*y**3 - 14588*y**2 + 14588*y**2)*(-3 + 3 - 1 + (0 + 4 - 3)*(0 + 2 + 0) - 5 + 2 + 1). -2*y**3 + 227*y Expand (-3 + 4 - 3)*(0 - 1 + 0)*(-75295 + 75295 + 331*l). 662*l Expand ((-2 + d + 2)*(2 - 4 - 5) - 2*d + d + 2*d + (-5*d + 0*d + 3*d)*(6 - 2 - 2))*(d + 3 - 3). -10*d**2 Expand 19*j**5 - 331*j**3 + j**2 + 331*j**3 - j**2 + j**2 + 2*j**5 + (j**3 - 3 + 3)*(j**2 + j - j) - 3*j**5 - 3*j**5 + 4*j**5 - j**5 - j**5 + 0*j**5. 18*j**5 + j**2 Expand (-p + 4*p - p + (-p + p + 2*p)*(4 - 3 - 3))*(1 - 1 + p)*(-18*p**2 + 79*p**2 + 35*p**2). -192*p**4 Expand (0 - 2*b + 0)*(b**3 - 2*b**4 - b**3) + b**2 - 13473*b + 161*b**5 + 13474*b - 507*b**5 + 2. -342*b**5 + b**2 + b + 2 Expand -2*a**3 - 3*a**4 + 4*a**4 - 4*a**4 + (3 + 2*a - 3)*(-3*a**3 + a**3 + 3*a**3) + 2*a**3 - 2*a**3 - 2*a**4 + (0 + 0 + 2*a**3)*(-6*a + 4*a + 0*a). -7*a**4 - 2*a**3 Expand (u**3 - 2*u**3 + 3*u**3)*(5*u**2 + 3*u**2 - 3*u**2) + 4*u**5 - u**5 - u**5 + (-u**2 + 0*u**2 - u**2)*(-7*u**3 + 40*u**2 - 40*u**2). 26*u**5 Expand (54 + 6*x - 15*x + 11*x)*(4*x - x + 0*x). 6*x**2 + 162*x Expand -z**5 - 4*z**4 + 4*z**4 + (-2*z**4 + 3*z**4 - 3*z**4)*(-3*z - 6*z + 54*z) + z**5 + 0*z**2 + 0*z**2. -90*z**5 Expand 5*b**4 + 5*b**4 - 5*b**4 + (-2*b + 0*b + b)*(0*b**3 - 4*b**3 + 2*b**3). 7*b**4 Expand (-23*w + 9*w - 8*w)*(4*w**2 - 8*w**2 + 6*w**2)*(4*w - 4*w + w) + 3*w**2 + 4*w**4 - 4*w**2 - 6*w**4. -46*w**4 - w**2 Expand (-2*j + 3*j + 0*j + (2 - 2 + 3)*(4 + 4*j - 4))*(-j + 3 - 3)*(0*j + 3*j - j). -26*j**3 Expand (-2 - 1 + 5)*(0*k + k - 2*k)*(-136*k - 152*k**3 + 136*k). 304*k**4 Expand (4*d**2 - 4*d**2 + d**2)*(-321 + 5*d + 321 + (-1 + 3 - 3)*(-d + 6*d + d)). -d**3 Expand (-45*b**4 + 146*b**3 - 246*b**4 - 146*b**3)*(-2*b - 5*b + 4*b). 873*b**5 Expand (-45 - 3*q - 39 + 73)*(-3*q - 4*q + 5*q)*(q - 5*q + q). -18*q**3 - 66*q**2 Expand (j - 2*j + 3 + 0*j)*(-3*j - j + 0*j)*(17 + 17 - 23). 44*j**2 - 132*j Expand 1 - h**3 - 1 + (12*h**2 + 7 - 7)*(3*h + 0*h - 16*h). -157*h**3 Expand (6*f**3 - f**4 + f + 3*f**4 + 16*f**3)*(5*f - 6*f + 7*f). 12*f**5 + 132*f**4 + 6*f**2 Expand (3*u - 3*u + 2*u)*(-21*u + 46 - 46)*(2*u + 1 - 1). -84*u**3 Expand (-1 + h + 1)*(2 - 2 + 2)*(-38 + 13 - 17). -84*h Expand (4*x**4 - x**4 + 0*x**4 - 2*x**2)*(-11 + 52 + 13). 162*x**4 - 108*x**2 Expand (-a - a + 3*a)*(-5242 - 4048 + 6334). -2956*a Expand 0*h + 3*h - 5*h - 2*h + h - 2*h + (-1 - 1 + 0)*(3 - h - 3) + 2*h + 0 + 0 - 7*h + 7*h - 29*h + (-4*h + 4*h + h)*(0 + 0 - 2). -32*h Expand (2*s**2 + 0 + 0)*(0 - 2*s + 0) + s**3 + 0*s**3 + s**3 + 3*s**3 + 3*s**2 - 3*s**2 + s**3 + 44*s**2 - 3*s**3 - 65*s**2. -s**3 - 21*s**2 Expand (-2*i**2 + 3*i**2 - i**3 + 0*i**3)*(7194 + 170*i - 7194). -170*i**4 + 170*i**3 Expand -a**3 - 4 + 2 + 1 + 2*a**3 + 0 + 0 + (1 + 2 - 2)*(-3*a**3 - a**3 + 3*a**3) + 12*a + 3*a**3 - 12*a - 37*a**2 + 37*a**2 - a**3. 2*a**3 - 1 Expand 3*m**4 + 2*m**3 - 20*m + 20*m - 2*m**4 - 3 + 3 + 0*m**4 - 2*m**4 + 0*m**4 + (-6*m + 4*m + 0*m)*(-4*m**3 + 3*m**3 - 2*m**3). 5*m**4 + 2*m**3 Expand (215 - 209 - 2*v + 3*v - 5*v + 4*v - v + (5 - 5 - 2*v)*(4 + 4 - 6) + 0*v - 4*v + 3*v + 3*v - 2*v - 2*v)*(0 + 0 + v). -7*v**2 + 6*v Expand (-9*z + 175 - 175)*((-2 + 5 - 1)*(-1 + 3 - 1) + 3 - 2 + 0). -27*z Expand (l**2 + l**2 + 0*l**2)*(-54*l - 47*l + 62 + 99*l). -4*l**3 + 124*l**2 Expand (-3 - y + 3)*((4 + 1 - 3)*(-2 - 1 + 5) - 6 + 3 + 13). -14*y Expand (10*u**2 - 10*u**2 + 19*u**2)*(4*u**2 - 2*u**2 + 2*u**2) - u**4 + 0*u**4 - 2*u**4. 73*u**4 Expand 7 + 5*u - 7 + (1 - 2 + 2)*(0*u + 4*u + 4*u). 13*u Expand (-7 + 2 + 2)*(-238 - 216 + 482)*(2*z + 2*z - 6*z). 168*z Expand (0*g**3 + 0*g**3 + g**3)*(400 - 1574 + 324 - 506 - 1126). -2482*g**3 Expand 1 + 6*m + m - 2*m**2 - 6*m + (-63 + 41*m + 63)*(2*m - 4*m + m). -43*m**2 + m + 1 Expand ((o - 4*o - o)*(11 + 7 - 2) + 3 - 3 + 2*o)*(o - 2 + 2) + 0*o**2 - 2*o**2 + 0*o**2. -64*o**2 Expand x**2 - 5*x**2 + 0*x**2 + (-9 + 9 - 20*x)*(0*x - 3*x + 7*x). -84*x**2 Expand -2*u + 2*u - 2*u + (6 - 8*u - 6)*(50 - 105 - 34) - 3 - u + 3. 709*u Expand (-50 - 53 - 54 + 149)*(-16*s - 11*s + 9*s). 144*s Expand (1 + 2*i - 1)*(5*i - 2*i - i) + 1 - 1 - 2*i**2 + (10*i - 5*i + 7*i)*(4*i + i - 3*i) + 0*i + 0*i - 2*i**2. 24*i**2 Expand (3 - 2*a - 3)*(-2*a - 2 + 2)*(3 + 9 - 1)*(2 - 2 + 2*a). 88*a**3 Expand p - 3*p + 4*p - 4*p + 3 - 3 - 2*p + 1 - 1 + (5*p - 4*p + 0*p)*(-2 + 3 + 1) + 1 - p - 1 - 20*p + 11*p - 3*p. -15*p Expand (25 + 0 - 8)*(-4 + 4 - 3*y) + 11*y - 3*y - y. -44*y Expand (-1 + 2*f + 1)*(-9*f - 4*f - 12*f) - 13 + 13 - 9*f**2. -59*f**2 Expand (-14 + 43 + 78 - 25)*(-m - 2*m + 2*m). -82*m Expand 3*v - 2*v - 2*v + (0*v + 2*v + 2*v)*(6 - 4 + 11). 51*v Expand ((-2*g + g + 3*g)*(1 + 0 - 3) + 129*g - 20*g + 22*g)*(g - 4*g + 0*g + g + 4*g - 4*g + 2 - 2 - 2*g + (2*g - 2 + 2)*(0 + 0 - 2) + 0*g + 4*g - 5*g). -1143*g**2 Expand (-8*j + 8*j + 4*j)*(-54 + 17*j + 54) - j**2 + j - j + (0*j - 2*j + 0*j)*(2*j - 4*j + 0*j) - j**2 + 0*j + 0*j. 70*j**2 Expand g**3 + 0*g**2 + 0*g**2 + 0 + 0 + 2*g**3 + 34*g**3 + 35*g**3 - 36*g**3 + (0*g - 3*g + 5*g)*(7*g**2 - g**2 - 4*g**2). 40*g**3 Expand (-1 + 1 + p**2)*(0*p**2 - p**2 + 2*p**2) - 4*p**4 + 0*p**4 + 2*p**4 + (0*p**3 + 2*p**3 + 0*p**3)*(p - 3*p + 0*p) + p**4 - 23*p + 35*p - 47*p. -4*p**4 - 35*p Expand 55687 - 133*i**2 - 55687 - 2*i**4 + (3 - 3 + i)*(2*i**3 - i**3 + i**3) + i**2 - i**4 - i**2 + 2*i**4 - 3*i**4 - i**4. -3*i**4 - 133*i**2 Expand (-4*v**2 - 3*v**2 + 12*v**2)*(v**2 + 0 + 0 + (-v + 0*v - v)*(0*v - v - v))*(-1 + 0 - 2). -75*v**4 Expand (s - 4*s + s)*(-8 - 4 - 9)*(0 + 1 + 0)*(s + 4*s - 3*s). 84*s**2 Expand (7*a - 49*a - 29*a)*(-4 + 4 + 3 + (-1 - 1 + 1)*(1 + 4 - 4) - 1 + 1 - 3) + 2*a + 0*a - 3*a. 70*a Expand -5 + 0*w**2 + 2*w**2 + 2 + 3 + 3*w**2 - 3 + (-2*w + 2*w + 2*w)*(-5*w + w + 3*w) + 3 - 3 - 2*w**2. w**2 - 3 Expand 341*p**3 + 339*p**3 - 682*p**3 - 249*p**2 - 4*p**2 + 4*p**2 - 2*p**3 + (-p**2 - p**2 + 0*p**2)*(-5*p + 2*p + 5*p) - 2*p**3 + 3*p**3 + 0*p**3. -7*p**3 - 249*p**2 Expand (-42*w**4 + 3608*w**2 - 3608*w**2)*((-2 + 3 + 1)*(-2 - 3 + 4) + (2 - 5 - 1)*(-2 + 1 + 2)). 252*w**4 Expand (3*t + 3*t**3 - 3*t)*(2*t + 0*t - t)*(-79 + 79 - 24*t). -72*t**5 Expand (-1 + k + k + 0)*(17490 - 19*k**3 - 17490). -38*k**4 + 19*k**3 Expand (2*t**5 - 15*t**5 + 6*t**5)*(0 + 3 - 1)*(-2 - 5 - 1). 112*t**5 Expand (-14*g + 4*g + g)*(16 + 6 - 2). -180*g Expand -j**2 + j**2 + j**3 + (-j**3 + j**3 - j**3)*(-22 + 58 + 209) + (j**2 - 2*j**2 + 3*j**2)*(-5*j + 3*j + j). -246*j**3 Expand 156*h + 395*h - 108*h + (-3 + 4 - 3)*(2*h - 1 + 1). 439*h Expand -3*o + 3*o - o + (3 + 0 - 2)*(-2*o - 3 + 3) - 152 + 106 - 102 + 2*o. -o - 148 Expand 3*k**2 + 2*k - 2*k + (-41 - 11 + 73)*(-3*k**2 + k**2 + 16*k**2). 297*k**2 Expand (21 + 2*m + 19 - 38)*(47 - 8 - 5). 68*m + 68 Expand (0*u + u**5 + 0*u)*(-2 + 5 - 5 + 3 - 4 + 3 + (3 + 0 - 1)*(0 + 0 - 1) - 2 + 3 + 7). 6*u**5 Expand (-2 + 0 + 3)*(2 + p**3 + 409*p**2 - 419*p**2 + 0)*(-4*p - 3*p + 5*p). -2*p**4 + 20*p**3 - 4*p Expand (-11*o + 8 + 11*o + 3*o**2)*(-286*o**2 + 286*o**2 + o**3). 3*o**5 + 8*o**3 Expand (32 - 3*p - 32)*(9 + 0 + 5)*(-p - p - 2*p). 168*p**2 Expand (26 - 3*q - 26 + 2*q**3)*(-7 - 12*q**2 + 7). -24*q**5 + 36*q**3 Expand (3*x - 3*x
{ "pile_set_name": "DM Mathematics" }
r when 2 is divided by w? 0 Suppose -2*l - 3*t = 4 + 1, 5*l + t + 19 = 0. What is the remainder when -45*(0 - l/(-6)) is divided by 16? 14 Let i(w) = -2*w - 9. Suppose -3*r - 18 = -3*f, -11 = -3*f - r - 3*r. Let t be (-14)/8*(-1 + f). What is the remainder when i(t) is divided by 3? 2 Suppose -3*d + 200 - 10 = 5*c, -5*d = 25. Suppose 3*j + 0*j + 42 = 0. Let m = c + j. Calculate the remainder when m is divided by 14. 13 Let v(k) = -k**3 + 5*k. What is the remainder when v(-4) is divided by 16? 12 Let v = -19 - -31. Suppose 4*g + k = -0*k + 14, -3*g - 3*k = -6. Suppose -g*h + 43 = -93. Calculate the remainder when h is divided by v. 10 Let l = 14 - -7. Let g(w) = w - 1. Let j be g(5). Suppose -13 - 19 = -j*r. What is the remainder when l is divided by r? 5 Suppose u - 49 = -h, 0 = -8*h + 13*h + 4*u - 244. Let z = -23 - -40. What is the remainder when h is divided by z? 14 Let x = 0 - -12. Suppose -5*a + 2*a = -102. Calculate the remainder when a is divided by x. 10 Let i(q) = 8*q - 1. Let k(m) = 24*m - 2. Let p(f) = 17*i(f) - 6*k(f). Suppose -3*x = -15, -4*u + u + x = -16. What is the remainder when p(-3) is divided by u? 5 Let x be 1*-2 + 15/3. Suppose -x*n = 2*n - 140. Calculate the remainder when n is divided by 15. 13 Suppose -n = y + 2*y - 85, 2*n = -y + 145. Suppose h + n = 6*h. What is the remainder when 54 is divided by h? 12 Let i(u) = 2*u - 8. Calculate the remainder when i(9) is divided by 3. 1 Suppose -2*o = -10, -10 - 5 = -3*l + 3*o. What is the remainder when l is divided by 4? 2 Let u(d) = -2*d + 12. What is the remainder when 11 is divided by u(3)? 5 Suppose 4*z = 85 - 17. Calculate the remainder when 31 is divided by z. 14 What is the remainder when 64 is divided by ((-95)/1)/(-5) + 3? 20 Let t(f) = f**3 - 3*f**2 - f - 1. Suppose -3*b + 15 + 51 = 0. Suppose 2*w - 20 = b. What is the remainder when w is divided by t(4)? 10 Calculate the remainder when (-1090)/(-25) - ((-3)/(-5) - 1) is divided by 24. 20 Suppose 2*y + 14 = 5*r - 3, r + 7 = 3*y. Suppose -1 - 15 = -3*x + 5*w, -x = r*w - 32. What is the remainder when 38 - (-3 + 6) - 1 is divided by x? 10 Let p(j) = j**2 + 4*j + 4. Suppose u - 6 = 3*n, 3*n - u + 6*u = -24. Let t be p(n). What is the remainder when -1 + -1 + t + 6 is divided by 2? 1 Calculate the remainder when 31 + 2 + (-2 - -3) is divided by 18. 16 Let s(j) = -58*j - 3. Let n be s(-2). Let o = -76 + n. What is the remainder when o is divided by 10? 7 Suppose 0 = 3*o + 23 - 224. Suppose -5*x = 4*d - 87, 5*d + 3*x + 47 = 159. What is the remainder when o is divided by d? 21 Suppose 2*p + 2 = 18. Suppose -5 = -4*a + 51. What is the remainder when a is divided by p? 6 Suppose -4*k = -4*f - 60, f = -2*k - f + 10. What is the remainder when (-24)/(-40) - (-224)/k is divided by 15? 8 Let x = -58 + 95. What is the remainder when x is divided by 10? 7 Let c(y) = y**3 + 5*y**2 - 8*y - 2. What is the remainder when 47 is divided by c(-6)? 7 Let o = 224 + -188. Calculate the remainder when o is divided by 8. 4 Let o(c) = -3*c + 1. Let q = -9 + 3. What is the remainder when o(q) is divided by 5? 4 Let a be ((-2)/6)/((-11)/627). Calculate the remainder when 1 - 1 - (2 - a) is divided by 5. 2 Let z(k) = -k**3 - 8*k**2 + 5. Suppose 4*m + 3 = -1. What is the remainder when z(-8) is divided by (3/(-9))/(m/9)? 2 Suppose 24 = 4*v - 88. Calculate the remainder when 82 is divided by v. 26 Suppose 0 = 4*x - 12, 0 = -4*d + 2*d - x + 33. Let h be (d/10)/(6/(-8)). Calculate the remainder when (-61)/h + 4/8 is divided by 11. 9 Suppose -3*d - 46 + 4 = 0. Suppose p + 60 = 6*p. Let t = p - d. What is the remainder when t is divided by 14? 12 Let c(u) = u**3 - 3*u**2 + 2*u - 4. Calculate the remainder when 39 is divided by c(4). 19 Suppose 2*k + 9 = -7. Let w(i) = i**2 - 7*i + 7. Calculate the remainder when w(7) is divided by 15/4 + (-2)/k. 3 Let z = 28 + -26. Suppose -5*d - w + 18 + 42 = 0, 0 = -z*d + 3*w + 41. Calculate the remainder when 51*(-1 + 2 + 0) is divided by d. 12 Let s(c) = -c**3 - 15*c**2 - 16*c + 9. What is the remainder when s(-14) is divided by 8? 5 What is the remainder when (-46)/(-3) - (-34)/51 is divided by 9? 7 Let o(h) be the third derivative of -h**4/24 - h**3/2 - 4*h**2. What is the remainder when 4 is divided by o(-7)? 0 Calculate the remainder when 139 is divided by 4/14 - 4656/(-168). 27 Let n = 0 - -3. Let u = n - -1. What is the remainder when u is divided by 3? 1 Let k(o) = 5*o - 4. Suppose 2*u + 3*u + 19 = w, 2*u = -w - 2. Let r(p) = 2*p**2 - 6*p + 1. What is the remainder when k(w) is divided by r(4)? 7 Let p(q) = 5*q + 8. Let z = 16 + -10. Calculate the remainder when p(z) is divided by 20. 18 Let j = -62 - -84. What is the remainder when 85 is divided by j? 19 Suppose 0 = -3*p + 3*z + 51, 4*z + 16 = -5*p + 92. What is the remainder when 47 is divided by p? 15 Let d(h) = 3*h. Let r(g) = -11*g + 1. Let c(i) = -9*d(i) - 2*r(i). What is the remainder when c(-6) is divided by 10? 8 Suppose -2*t - g = -6*t + 13, 2*g = -t + 1. Let u = t + 3. What is the remainder when (u/9)/((-4)/(-138)) is divided by 8? 7 Let y = -7 + 3. Let b = y - -10. Let k(s) = s**2 - 6*s + 9. Calculate the remainder when b is divided by k(5). 2 Let z = -1 + 22. What is the remainder when z is divided by 11? 10 Let y(z) = -z**3 - 3*z**2 + 4*z + 1. What is the remainder when 123 is divided by y(-5)? 30 Let p be (-515)/(-25) + (-4)/(-10). Suppose 0 = -3*m + 2*q + 2*q + 8, 4*m = -5*q + p. What is the remainder when m is divided by 2? 0 Let m = 18 + -14. Suppose -m*r + 0*k + 13 = 3*k, 4*r = -2*k + 10. Calculate the remainder when 1 is divided by r. 0 Suppose -17 = 5*q + 8, 3*x - 13 = 2*q. What is the remainder when 1 is divided by x? 0 Let w = 41 + -4. What is the remainder when 110 is divided by w? 36 Suppose -5 - 1 = -3*i. Let o = 3 + i. Let g(j) = j**2 - 3*j - 3. Calculate the remainder when 13 is divided by g(o). 6 Let y = -34 + 37. Let u(m) = -m**3 + 5*m**2 - 2*m - 4. Let a be u(4). Suppose -t + a = -0. Calculate the remainder when t is divided by y. 1 Let m(v) = v**3 - 6*v**2 + v + 8. What is the remainder when (20 + (-2 - 2))*17/4 is divided by m(6)? 12 Suppose -3*v - 3*t = v - 11, 2*v = -5*t + 9. Let m be -2 + (5 - v) + 9. Let j = 31 - m. What is the remainder when j is divided by 11? 10 Let o(c) = -18*c - 4. Let r(f) = f + 1. Let m(y) = o(y) + 4*r(y). Let k be m(-1). Suppose -k = -4*p + 182. Calculate the remainder when p is divided by 17. 15 Suppose -3*b - 4*r = -88, -2*r + 156 = 6*b - b. Calculate the remainder when 61 is divided by b. 29 Let g(m) = 10*m - 1. Suppose k + 69 = 4*k. Let f = k - 13. Calculate the remainder when g(3) is divided by f. 9 Let w(j) = 2*j**2 - 5*j + 5. What is the remainder when w(4) is divided by 10? 7 Suppose -d = -2*d + 2. Let v = d + -8. What is the remainder when 4/v + 460/15 is divided by 11? 8 Let p(h) = -12*h - 4. Let o be -3*2/(0 - -2). Calculate the remainder when p(o) is divided by 11. 10 Suppose 10 = -5*q + 135. Let h = 2 - -3. Suppose 3*o - 50 = -h*v + 9, 4*o - 18 = -2*v. What is the remainder when q is divided by v? 12 Let q be -2*1 - (-16)/8. Suppose -5*c - 4*r + 27 = q, -4*c = -c - r - 23. What is the remainder when 13 is divided by c? 6 Let l be (172/(-10))/(5/(-25)). Let t = l - 28. What is the remainder when t is divided by 15? 13 What is the remainder when (16 + -1)*50/6 is divided by 42? 41 Suppose 2*h + 22 = 5*i, -i + h + 5 = -0. Calculate the remainder when i is divided by 3. 1 Suppose 6*h = -13*h + 266. Calculate the remainder when 23 is divided by h. 9 Let u = -7 - -20. Suppose 3*b - j = 2 + 22, 2*j = -2*b + 8. What is the remainder when u is divided by b? 6 Suppose s = -m + 4*s + 3, 5 = 5*m - 5*s. Let f = 9 - m. What is the remainder when 25 is divided by f? 7 Suppose f - 65 + 27 = 0. Let s = -68 + 81. What is the remainder when f is divided by s? 12 Suppose -4*p + 35 = 5*s, 5*s + 59 = 3*p + 24. Let u(c) = -c**3 - 3*c**2 - c - 1. Let t = -5 + 1. What is the remainder when u(t) is divided by p? 9 What is the remainder when 71 is divided by -1 - 2 - 1/((-2)/56)? 21 Let x(u) = 11*u - 1. Let j be x(7). Suppose 5 = 5*q + i - j, 4*q - 60 = 4*i. Calculate the remainder when q is divided by 9. 7 Suppose 91 + 89 = 3*m. Suppose 0 = 2*t + 2, -3*v + 5*t + 39 - 1 = 0. Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
hat is the second derivative of -27931838*a**3 - 229588191*a? -167591028*a What is the third derivative of -11*p**3*s**3*u - 160883*p**3*u**2 + 2*p**2*s**3*u**2 + 5*p**2*s**3*u + 64*p**2*s**2*u**2 + 272*p*s**3*u**2 + p*s*u**2 wrt p? -66*s**3*u - 965298*u**2 What is the third derivative of -258892*p**6 + p**4 - 5464659*p**2? -31067040*p**3 + 24*p Find the first derivative of -387*v**2 + 4772*v + 262628. -774*v + 4772 What is the third derivative of -552966*g**5 - g**4 - g**3 - 2*g**2 + 2*g + 2968662 wrt g? -33177960*g**2 - 24*g - 6 Find the second derivative of -2727*k**3*m**2*w - 11240*k**3*w**2 - 8*k**2*m*w - 81*m**2*w**2 - 6*m**2 wrt w. -22480*k**3 - 162*m**2 Find the third derivative of 7522183*v**6 + 7013789*v**2. 902661960*v**3 Find the second derivative of 5959132*q**2 - 5380348*q. 11918264 Find the third derivative of -66*g**5*y - 16540*g**3*y + 3*g**2*y + g**2 - 267*g*y - 55*g - 2*y wrt g. -3960*g**2*y - 99240*y What is the second derivative of 6903*z**3 + 3821*z**2 + 297169525*z wrt z? 41418*z + 7642 What is the second derivative of 273898209*j**2*q**3*u**2 + 2*j**2*q**2*u - 4*j**2*q**2 + 5*j**2*u - 14*j*q**3 - 3*j + 6665*q**2*u wrt u? 547796418*j**2*q**3 What is the third derivative of 773*p**3*u**3 + 2958*p**3*u**2 - 74*p**2*u + 73*u**3 + 40*u wrt p? 4638*u**3 + 17748*u**2 Find the second derivative of 3*n**2*q**2 - 897653*n**2 + 1598*n*q**2 + 4*n*q - 15*n - q**2 + 3*q wrt n. 6*q**2 - 1795306 What is the third derivative of 55967660*j**4 - 77*j**2 - 34740*j? 1343223840*j Find the second derivative of -5*f**2*g*r - 898658*f**2*r**2 - 3*f**2*r + 2056*f*g**3 - 32*f*g*r + 96*g**3*r**2 wrt r. -1797316*f**2 + 192*g**3 What is the first derivative of 104908444*c*i**3 - c*i - 171963530*i**3 wrt c? 104908444*i**3 - i Find the third derivative of 157445257*j**6 + 2*j**2 + 6114557*j. 18893430840*j**3 What is the second derivative of 979250303*b**2 + 10389170*b + 5 wrt b? 1958500606 What is the second derivative of 70847696*f**5 + 650767*f + 28 wrt f? 1416953920*f**3 What is the second derivative of 9072*i**4 + 26*i**3 + 15*i**2 - 7321*i + 320? 108864*i**2 + 156*i + 30 What is the derivative of -17*p**2 - 1047271*p - 39856389 wrt p? -34*p - 1047271 What is the third derivative of -403618774*y**3 - 3*y**2 + 2*y + 16184864? -2421712644 Find the third derivative of 95*m*w**3*z**3 - 470532*m*w**3 - m*w**2*z**3 - 3*m*w*z**3 - 2694246*m*z + 7*w**2*z**3 wrt w. 570*m*z**3 - 2823192*m Differentiate 42178*d**3*p - 9*d**2*p - 5*d*p - 160206382*p wrt d. 126534*d**2*p - 18*d*p - 5*p Differentiate 153*g**4 - 319*g**3 + g**2 - 5*g - 3887044 wrt g. 612*g**3 - 957*g**2 + 2*g - 5 Find the third derivative of 7846774*r**3 + 4283967*r**2. 47080644 What is the derivative of 1560*w**4 - 5127*w**3 + 351753769? 6240*w**3 - 15381*w**2 Find the second derivative of 5*f*k**3 - 2*f*k**2 + 2288*f*k + 4*f - 633234*k**3 + 4*k**2 + k - 25 wrt k. 30*f*k - 4*f - 3799404*k + 8 What is the first derivative of 7317*u*v - 408*u - 40255050*v wrt u? 7317*v - 408 What is the third derivative of 8961*s**5 - 6*s**4 - 403*s**3 - 942187*s**2 + 60 wrt s? 537660*s**2 - 144*s - 2418 What is the derivative of -106898327*f*o + 39133398*o + 2 wrt f? -106898327*o Differentiate 3*d**2 + 8174607*d - 51651371 with respect to d. 6*d + 8174607 Find the second derivative of -693450647*a**2*z**3 - 987*a*z**3 + 3*a*z - 537*z**3 + z**2 - 6 wrt a. -1386901294*z**3 What is the third derivative of 2198*m**6 + 68740*m**3 + 370*m**2 + 155308 wrt m? 263760*m**3 + 412440 What is the third derivative of 166559535*y**6 + 4347*y**2 - 8502 wrt y? 19987144200*y**3 Find the first derivative of 4295124*x - 3841232 wrt x. 4295124 What is the second derivative of 126950045*s**2 - 38*s + 470885 wrt s? 253900090 Find the first derivative of 245*v**3 + 6*v**2 - 823*v - 21773632. 735*v**2 + 12*v - 823 Find the second derivative of -97575*i**4 - 19*i**2 - 12532361*i wrt i. -1170900*i**2 - 38 Find the third derivative of -638540*u**5 + 2*u**4 + 143851*u**2. -38312400*u**2 + 48*u What is the third derivative of -3449*g**4 + 524*g**3 + 2*g**2 + 3350339*g? -82776*g + 3144 Find the second derivative of -14821224*v**2 - 20*v - 30463. -29642448 What is the second derivative of -4129118*x**3 - 4404*x - 28 wrt x? -24774708*x What is the third derivative of -5497360*u**4 - 25857*u**2 - 3*u + 62 wrt u? -131936640*u What is the third derivative of 17*d**3*g**2 - 21*d**3*g - 219*d**3 + 4891417*d**2*g**2 - d**2*g wrt d? 102*g**2 - 126*g - 1314 What is the third derivative of -58623621*g**3 + 73380076*g**2? -351741726 Find the second derivative of -977*h**5 - 19561*h**2 + 177961*h - 1137 wrt h. -19540*h**3 - 39122 What is the derivative of 44*f**2 - 7650803*f*o - 58*o + 585152 wrt f? 88*f - 7650803*o Find the first derivative of 11245010*j*z**3 + 1033708*j + 3*z**3 + 53 wrt z. 33735030*j*z**2 + 9*z**2 Find the third derivative of 12*t**5 + 38347064*t**4 - 21993*t**2 - t - 1324. 720*t**2 + 920329536*t Differentiate -7771099*p**3 + 61501175. -23313297*p**2 Differentiate 396*j**2*v - 711*j*v - j - 884330*v + 16 with respect to j. 792*j*v - 711*v - 1 Find the second derivative of 785*a**4 - 124*a**3 - 11*a**2 - a + 32599314 wrt a. 9420*a**2 - 744*a - 22 Find the third derivative of -85704469*c**3*t + 3*c**2*t - 7056734*c*t wrt c. -514226814*t Find the second derivative of 561074818*v**4 - 602673438*v wrt v. 6732897816*v**2 Find the first derivative of -41429544*k**2 + 16748608 wrt k. -82859088*k Find the third derivative of 3*t**5 + 6450576*t**4 - 2*t**3 + t**2 - 91*t + 61829. 180*t**2 + 154813824*t - 12 What is the derivative of 44510070*p*t - 1761*t - 17399 wrt p? 44510070*t What is the third derivative of 14910093*q**5 + 2517199*q**2 + 1 wrt q? 894605580*q**2 What is the third derivative of 47711080*c**2*i**3 + 91*c**2*i**2 - 3616*c**2 - i**3 - 11*i**2 wrt i? 286266480*c**2 - 6 Differentiate -11187211*o + 26290587. -11187211 Differentiate -17804200*j - 4416112. -17804200 What is the third derivative of -60082*i**4*q - 610*i**4 - 5*i**3 - i**2*q - 15*i**2 - 499*i + 76*q + 3 wrt i? -1441968*i*q - 14640*i - 30 Find the second derivative of -1005883*z**4 - 127*z**3 - 2*z**2 + 35091*z - 2719. -12070596*z**2 - 762*z - 4 What is the derivative of -1065*a**3 + 263794*a + 772489942? -3195*a**2 + 263794 Differentiate 56928406*r**4 + 21981819 wrt r. 227713624*r**3 What is the third derivative of 2*p**5 + 150924*p**4 - p**3 + 43794962*p**2 wrt p? 120*p**2 + 3622176*p - 6 What is the second derivative of -1613*m**4 - 4*m**3 - 1665*m**2 + 2608390*m - 39 wrt m? -19356*m**2 - 24*m - 3330 What is the derivative of 31039*k**2*l**2 + 15780150*k**2 + 207*l**2 wrt l? 62078*k**2*l + 414*l What is the first derivative of 2376836*o**3 + 3*o - 58996878 wrt o? 7130508*o**2 + 3 What is the second derivative of -175195646*u**2 + 788512*u + 66 wrt u? -350391292 Differentiate d**2*v - 16343*d**2 - 1138437*d*v + d + 145 wrt v. d**2 - 1138437*d Find the third derivative of 596308*a**5 - 10*a**3 + 24751*a**2 - 614*a. 35778480*a**2 - 60 Find the first derivative of -906*h**4 + 3*h**2 - 20974*h + 424971057 wrt h. -3624*h**3 + 6*h - 20974 What is the second derivative of -18417754*s**2 + 3765413*s? -36835508 What is the third derivative of -10*z**6 + 40*z**4 + 123203*z**3 + 2136*z**2 - 1410*z + 1 wrt z? -1200*z**3 + 960*z + 739218 What is the derivative of 13479079*x - 12911881 wrt x? 13479079 Find the third derivative of 163387378*n**3*s + 1791*n**2*s + 22565*n**2 + s wrt n. 980324268*s Find the third derivative of 126*r**2*w**3 + 130*r**2*w**2 - 9*r**2 - 24*r*w**3 - 607*r*w**2 + 1945*w**3 wrt w. 756*r**2 - 144*r + 11670 What is the third derivative of 41*j**6 - 2408719*j**5 - 2*j**2 - 333321328? 4920*j**3 - 144523140*j**2 What is the second derivative of 165265591*s**2 - 156946178*s? 330531182 Differentiate 51292228*w**3 - 3*w**2 - 25866043. 153876684*w**2 - 6*w Find the second derivative of 59*q**5 + 2550101*q**4 + 170474*q + 106 wrt q. 1180*q**3 + 30601212*q**2 What is the first derivative of -b**2*g + 1876*b**2*x + 2*b*g*x**3 + 150767*g*x**3 + 693*x**3 wrt g? -b**2 + 2*b*x**3 + 150767*x**3 What is the second derivative of 19*m**3*r**2 - m**3 - 30440*m**2*r**2 - 5*m**2*r - 1486*m**2 + 46*r + 1 wrt r? 38*m**3 - 60880*m**2 What is the second derivative of 86876*f**3 +
{ "pile_set_name": "DM Mathematics" }
is -2 divided by -824945? 2/824945 Calculate 227227212 divided by 828. 274429 What is 3 divided by -130663361? -3/130663361 What is 4 divided by -33865020? -1/8466255 Divide 0 by -1039943. 0 9788361 divided by 208263 47 Calculate 56268350 divided by 1125367. 50 Divide 4398 by 2111. 4398/2111 Divide 14809005 by -5. -2961801 Divide -1946807 by 189. -1946807/189 Divide -86561335 by 7. -12365905 Divide 56412342 by -6. -9402057 What is 62190008 divided by -4? -15547502 Calculate 2848 divided by -37956. -712/9489 10654641 divided by 3 3551547 What is 189 divided by 32589? 7/1207 Divide -3511962 by 51. -68862 Calculate 5 divided by -37472303. -5/37472303 Calculate -199531032 divided by -321. 621592 -2459691 divided by 23 -2459691/23 25379015 divided by 3 25379015/3 -1117302375 divided by 433 -2580375 Divide 190752 by -8. -23844 766976645 divided by 5 153395329 147049620 divided by -12254135 -12 -33245735 divided by -6649147 5 Calculate 1075 divided by -270. -215/54 Calculate 0 divided by -1328426. 0 What is -51990120 divided by -12997530? 4 What is 3614 divided by 5396? 1807/2698 Divide 14506186 by -2. -7253093 Divide 3037216 by -28. -108472 What is 13218998 divided by -26? -508423 Divide 45 by -270210. -3/18014 What is -2075836 divided by 148274? -14 -1 divided by -6078905 1/6078905 -13 divided by 108114104 -13/108114104 Divide 0 by 29821431. 0 Calculate 17 divided by 150407. 17/150407 Divide 19329948 by -33. -585756 Calculate -30923 divided by 15226. -30923/15226 What is 10 divided by 4057690? 1/405769 Calculate -122653 divided by 15. -122653/15 Divide -5233 by -2462. 5233/2462 Calculate -87437214 divided by 1663. -52578 2853587 divided by 63 2853587/63 150 divided by 6687 50/2229 -51599702 divided by 1034 -49903 Divide 336519345 by -5. -67303869 Calculate -18519053 divided by -1. 18519053 What is 123868106 divided by 3? 123868106/3 -269037165 divided by -53807433 5 2195725 divided by 313675 7 Calculate -211137234 divided by -15081231. 14 Calculate -20460650 divided by 20460650. -1 Divide 23051092 by 166. 138862 49282150 divided by -74 -665975 What is 11308461 divided by -9? -3769487/3 Divide -10442530 by -3095. 3374 Calculate -5401452 divided by 1800484. -3 Calculate 3 divided by -394297. -3/394297 9102555 divided by -1 -9102555 Divide -159096487 by -1314847. 121 What is 2303688 divided by -575922? -4 What is 27425176 divided by -37364? -734 What is -369269370 divided by 84870? -4351 What is -144030011 divided by -1? 144030011 45264934 divided by 3481918 13 Divide -861606 by -951. 906 Calculate 279140760 divided by -326. -856260 Divide -3952566 by -13. 3952566/13 Divide -855 by 62108. -855/62108 -7122250 divided by 310 -22975 669438 divided by -42 -15939 Calculate -29026912 divided by -464. 62558 Divide 89368490 by -1. -89368490 Calculate 1078410372 divided by 4. 269602593 -332316270 divided by 30 -11077209 136981491 divided by -3 -45660497 Calculate -462935902 divided by 17805227. -26 -310653471 divided by -2 310653471/2 Divide -2304 by 104845. -2304/104845 What is -527 divided by -575? 527/575 Divide -15824601 by 3. -5274867 Calculate -58 divided by 45756. -29/22878 What is 82496538 divided by 3? 27498846 What is 121303065 divided by -1866201? -65 Divide -3484 by 903. -3484/903 -136353966 divided by -8771 15546 3726200 divided by 186310 20 Divide 10019310 by -1. -10019310 Divide 25344 by -5098. -12672/2549 209 divided by -17530 -209/17530 Divide 144943513 by 143. 1013591 Divide -7597963 by -7. 7597963/7 What is 11289031 divided by 868387? 13 -986272 divided by -6 493136/3 Calculate -933560544 divided by 6. -155593424 Calculate -13618 divided by -5091. 13618/5091 Calculate -614384 divided by -76. 8084 What is -363079186 divided by 2? -181539593 What is 1058926344 divided by -264731586? -4 What is 515533032 divided by 84? 6137298 What is 846133240 divided by -49366? -17140 Calculate 2898862496 divided by -2. -1449431248 Divide -154161 by -13. 154161/13 -177625467 divided by -6578721 27 -9011576 divided by 8 -1126447 Divide -138064469 by -1. 138064469 What is 4120642 divided by -3? -4120642/3 Calculate -3174311 divided by -551. 5761 What is -473253 divided by 4? -473253/4 Calculate 1036 divided by -36992. -259/9248 63713328 divided by 88368 721 Calculate 3131745 divided by 18. 1043915/6 1555 divided by 2228 1555/2228 What is 823 divided by 891? 823/891 What is 12314979 divided by -5? -12314979/5 What is -31 divided by 130600? -31/130600 Calculate -148166 divided by 636. -74083/318 Divide -15 by -1430122. 15/1430122 Calculate -8 divided by 14544639. -8/14544639 Calculate -9077706 divided by 254. -35739 Divide -5 by -22281647. 5/22281647 -7833847 divided by -7833847 1 Divide -106 by 25261. -106/25261 Divide -3882876 by 1. -3882876 107846 divided by 1364 53923/682 Divide 3748662 by -97. -38646 Divide -14670000 by 750. -19560 Divide -1332 by -446. 666/223 What is -131462496 divided by 544? -241659 What is 193476 divided by 716? 48369/179 Divide 3517800 by -39975. -88 What is 6719359 divided by -91? -6719359/91 Calculate -740328339 divided by 452247. -1637 Calculate -190573845 divided by 4. -190573845/4 What is -45165760 divided by 4? -11291440 What is -3 divided by 122272037? -3/122272037 Divide -1 by -85915. 1/85915 Calculate -261351 divided by -3681. 71 Calculate -1208224 divided by -2. 604112 Divide -2 by -11309285. 2/11309285 Calculate -730966016 divided by 5710672. -128 What is -323971203 divided by 4461? -72623 Calculate -5 divided by 6158697. -5/6158697 Calculate 12377253 divided by 9. 4125751/3 What is 54513140 divided by 10902628? 5 -1646477 divided by 15 -1646477/15 Calculate -40506179 divided by -1. 40506179 -212472183 divided by 1445389 -147 Divide -152310543 by 50770181. -3 Calculate -82 divided by 7849. -82/7849 Calculate 243285798 divided by -81095266. -3 192185 divided by 38 10115/2 What is -92661105 divided by 729615? -127 Calculate -164 divided by 558392. -41/139598 What is 32464 divided by 3705? 32464/3705 6593964 divided by -549497 -12 720658155 divided by 177 4071515 What is 2663 divided by 44478? 2663/44478 Calculate 2399628 divided by 109074. 22 Divide 901290 by -450645. -2 362199186 divided by 6 60366531 -434 divided by 1676 -217/838 What is -15852144 divided by -6? 2642024 Calculate 25115859 divided by -2790651. -9 What is 705631447 divided by 1? 705631447 Calculate 2337 divided by -155452. -2337/155452 -134792096 divided by 32 -4212253 -781428496 divided by -2 390714248 214760676 divided by 2 107380338 Divide -31313 by 1021. -31313/1021 Divide 89 by 259975. 89/259975 Calculate -1113396200 divided by -334856. 3325 Calculate 103424684 divided by 22. 4701122 Calculate 10628475 divided by 6. 3542825/2 Divide -47699244 by -13. 47699244/13 -34 divided by -37882 17/18941 -5767736 divided by -2883868 2 -2946 divided by -21587 2946/21587 Divide -154110352 by -38527588. 4 Calculate 0 divided by -805555. 0 Calculate -247 divided by -124171. 247/124171 Calculate -23779552 divided by -8. 2972444 -866895 divided by -20 173379/4 Divide -2 by -87758496. 1/43879248 What is 55307638 divided by -2? -27653819 Calculate -95578400 divided by -2986825. 32 Divide 478854 by -9. -53206 What is -1245661 divided by 27? -1245661/27 What is -31781750 divided by -635? 50050 Calculate 2 divided by 24984120. 1/12492060 Divide 222734505 by -16703. -13335 Divide 43398420 by 10849605. 4 Divide 144687000 by -375. -385832 Divide 35641539 by -146673. -243 What is 7513897 divided by 6? 7513897/6 What is -275576040 divided by -270? 1020652 What is 374716800 divided by -74943360? -5 Calculate 1226771064 divided by -18. -68153948 -52605 divided by -4309 52605/4309 What is -935862895 divided by 67111? -13945 Calculate 12860511 divided by -779. -16509 Calculate 115 divided by -124789. -115/124789 Divide -8 by 6952400. -1/869050 Divide -16299249 by -5433083. 3 Calculate -36679 divided by -1646. 36679/1646 Divide -1194 by -63939. 398/21313 What is -5 divided by -542446? 5/542446 What is -5481930 divided by -1827310? 3 What is 38706744 divided by 4? 9676686 590343950 divided by 295171975 2 Calculate -261633018 divided by -6. 43605503 Calculate 5025 divided by -519. -1675/173 -212755464 divided by 3 -70918488 What is -3995 divided by 20044? -3995/20044 Calculate -60602
{ "pile_set_name": "DM Mathematics" }
f 5091? 5 What is the units digit of 16772? 2 What is the tens digit of 350? 5 What is the units digit of 2265? 5 What is the units digit of 1219? 9 What is the hundreds digit of 1047? 0 What is the units digit of 415? 5 What is the hundreds digit of 4188? 1 What is the tens digit of 18432? 3 What is the units digit of 1406? 6 What is the hundreds digit of 8857? 8 What is the units digit of 1581? 1 What is the hundreds digit of 183? 1 What is the hundreds digit of 6127? 1 What is the hundreds digit of 321? 3 What is the hundreds digit of 35075? 0 What is the tens digit of 66? 6 What is the units digit of 716? 6 What is the ten thousands digit of 11681? 1 What is the hundreds digit of 1648? 6 What is the units digit of 5832? 2 What is the ten thousands digit of 61851? 6 What is the tens digit of 1304? 0 What is the hundreds digit of 2964? 9 What is the tens digit of 527? 2 What is the units digit of 5? 5 What is the thousands digit of 8918? 8 What is the ten thousands digit of 47857? 4 What is the units digit of 127622? 2 What is the ten thousands digit of 16618? 1 What is the hundreds digit of 78937? 9 What is the hundreds digit of 12124? 1 What is the thousands digit of 1823? 1 What is the tens digit of 104? 0 What is the units digit of 1634? 4 What is the hundreds digit of 53698? 6 What is the units digit of 45931? 1 What is the thousands digit of 188949? 8 What is the units digit of 124? 4 What is the hundreds digit of 3097? 0 What is the thousands digit of 11335? 1 What is the units digit of 47925? 5 What is the thousands digit of 5760? 5 What is the tens digit of 418? 1 What is the hundreds digit of 11259? 2 What is the units digit of 1928? 8 What is the tens digit of 621? 2 What is the units digit of 18422? 2 What is the ten thousands digit of 13153? 1 What is the tens digit of 3162? 6 What is the thousands digit of 19595? 9 What is the thousands digit of 2407? 2 What is the thousands digit of 20741? 0 What is the thousands digit of 5200? 5 What is the units digit of 918? 8 What is the units digit of 17751? 1 What is the thousands digit of 1670? 1 What is the tens digit of 2739? 3 What is the thousands digit of 16572? 6 What is the hundreds digit of 11724? 7 What is the tens digit of 45509? 0 What is the units digit of 84977? 7 What is the units digit of 2150? 0 What is the units digit of 66? 6 What is the hundreds digit of 2429? 4 What is the hundreds digit of 1570? 5 What is the thousands digit of 9520? 9 What is the hundreds digit of 2026? 0 What is the units digit of 4817? 7 What is the tens digit of 8675? 7 What is the units digit of 965? 5 What is the tens digit of 16115? 1 What is the hundreds digit of 11346? 3 What is the units digit of 8446? 6 What is the hundreds digit of 635? 6 What is the ten thousands digit of 64064? 6 What is the ten thousands digit of 13134? 1 What is the units digit of 734? 4 What is the units digit of 55997? 7 What is the hundreds digit of 129? 1 What is the hundreds digit of 1445? 4 What is the hundreds digit of 10523? 5 What is the hundreds digit of 21024? 0 What is the units digit of 321? 1 What is the tens digit of 2017? 1 What is the ten thousands digit of 16057? 1 What is the tens digit of 195? 9 What is the tens digit of 14559? 5 What is the units digit of 1459? 9 What is the units digit of 1656? 6 What is the tens digit of 11773? 7 What is the thousands digit of 5065? 5 What is the tens digit of 125? 2 What is the hundreds digit of 1718? 7 What is the thousands digit of 5336? 5 What is the units digit of 14620? 0 What is the hundreds digit of 1292? 2 What is the units digit of 112283? 3 What is the thousands digit of 12138? 2 What is the hundreds digit of 7006? 0 What is the tens digit of 72446? 4 What is the units digit of 66767? 7 What is the units digit of 8909? 9 What is the hundreds digit of 18543? 5 What is the thousands digit of 24963? 4 What is the hundreds digit of 16596? 5 What is the thousands digit of 4778? 4 What is the tens digit of 1747? 4 What is the hundreds digit of 27912? 9 What is the tens digit of 19721? 2 What is the thousands digit of 70305? 0 What is the units digit of 232? 2 What is the hundreds digit of 5238? 2 What is the tens digit of 3962? 6 What is the thousands digit of 1999? 1 What is the units digit of 1502? 2 What is the units digit of 266? 6 What is the hundreds digit of 501? 5 What is the thousands digit of 16281? 6 What is the hundreds digit of 4190? 1 What is the thousands digit of 120985? 0 What is the units digit of 1708? 8 What is the hundreds digit of 470? 4 What is the hundreds digit of 22650? 6 What is the tens digit of 3539? 3 What is the tens digit of 492? 9 What is the units digit of 14489? 9 What is the ten thousands digit of 47697? 4 What is the hundreds digit of 789? 7 What is the hundreds digit of 1010? 0 What is the tens digit of 9785? 8 What is the tens digit of 749? 4 What is the tens digit of 23? 2 What is the hundreds digit of 65420? 4 What is the thousands digit of 157668? 7 What is the hundreds digit of 20312? 3 What is the ten thousands digit of 56860? 5 What is the hundreds digit of 8306? 3 What is the hundreds digit of 7450? 4 What is the hundreds digit of 3170? 1 What is the hundreds digit of 12857? 8 What is the ten thousands digit of 19838? 1 What is the tens digit of 1615? 1 What is the hundreds digit of 2413? 4 What is the hundreds digit of 9584? 5 What is the units digit of 99873? 3 What is the hundreds digit of 33301? 3 What is the units digit of 4819? 9 What is the ten thousands digit of 66944? 6 What is the tens digit of 1271? 7 What is the hundreds digit of 6752? 7 What is the hundreds digit of 84229? 2 What is the units digit of 61141? 1 What is the units digit of 1673? 3 What is the thousands digit of 4850? 4 What is the thousands digit of 123526? 3 What is the ten thousands digit of 10219? 1 What is the hundreds digit of 44139? 1 What is the hundreds digit of 1622? 6 What is the hundreds digit of 116357? 3 What is the units digit of 19115? 5 What is the units digit of 38? 8 What is the units digit of 438? 8 What is the units digit of 1721? 1 What is the ten thousands digit of 37024? 3 What is the tens digit of 2598? 9 What is the tens digit of 233? 3 What is the units digit of 324? 4 What is the hundreds digit of 53640? 6 What is the hundred thousands digit of 126037? 1 What is the tens digit of 4085? 8 What is the units digit of 120? 0 What is the hundreds digit of 2823? 8 What is the thousands digit of 7886? 7 What is the hundreds digit of 2067? 0 What is the units digit of 15579? 9 What is the thousands digit of 128695? 8 What is the tens digit of 173678? 7 What is the tens digit of 1690? 9 What is the thousands digit of 123453? 3 What is the units digit of 3289? 9 What is the tens digit of 285? 8 What is the hundreds digit of 945? 9 What is the tens digit of 1098? 9 What is the tens digit of 3630? 3 What is the tens digit of 2182? 8 What is the thousands digit of 7756? 7 What is the tens digit of 2987? 8 What is the tens digit of 48054? 5 What is the hundreds digit of 461? 4 What is the hundreds digit of 3036? 0 What is the tens digit of 3668? 6 What is the thousands digit of 33001? 3 What is the units digit of 53036? 6 What is the hundreds digit of 102? 1 What is the ten thousands digit of 58102? 5 What is the hundreds digit of 1073? 0 What is the tens digit of 5437? 3 What is the tens digit of 19447? 4 What is the thousands digit of 1666? 1 What is the thousands digit of 2588? 2 What is the tens digit of 3317? 1 What is the tens digit of 5011? 1 What is the units digit of 901? 1 What is the hundreds digit of 13121? 1 What is the thousands digit of 6833? 6 What is the units digit of 3539? 9 What is the units digit of 10987? 7 What is the hundreds digit of 8483? 4 What is the tens digit of 89? 8 What is the tens digit of 31136? 3 What is the thousands digit of 40291? 0 What is the hundreds digit of 25123? 1 What is the units digit of 674? 4 What is the hundreds digit of 2333? 3 What is the hundreds digit of 5712? 7 What is the thousands digit of 1070? 1 What is the hundreds digit of 140? 1 What is the units digit of 92781? 1 What is the hundreds digit of 26767? 7 What is the thousands digit of 1173? 1 What is the u
{ "pile_set_name": "DM Mathematics" }
0)*-1 - -119. Suppose v - 20 = -9*v. Suppose -56 = -o - q + 6, 3*q - g = -v*o. What are the prime factors of o? 67 Suppose i = -j - 2*j + 22, 3*j - 5*i - 52 = 0. Let t be 2/16*25 + j/(-72). Suppose 0 = -t*d - q + 190, 5*d - q + 158 = 472. What are the prime factors of d? 3, 7 Let p be 1443/65 + 2/(-10). Let j = p - 17. Suppose 0 = -j*g - 45 + 440. What are the prime factors of g? 79 Let x = 2442 - 2010. What are the prime factors of x? 2, 3 List the prime factors of -7 + 14 + 7 + 14702. 2, 13, 283 Suppose 1235*d - 1187*d = 765744. List the prime factors of d. 7, 43, 53 Let l be 90 + (1/1)/(18/(-36)). Let f be 25/10*l*1. Suppose -3*c + 173 = -f. List the prime factors of c. 131 Suppose 0*s - 2*s + 32 = 0. Suppose -s*l + 12070 = l. What are the prime factors of l? 2, 5, 71 What are the prime factors of ((-4)/(192/(-136)) - 3)/(4/(-351672))? 14653 List the prime factors of 344*((-3876)/(-266) - 1/14). 2, 29, 43 Let n = 74 + 1573. Let x = -963 + n. List the prime factors of x. 2, 3, 19 Let r = 38 - 29. Suppose -t + 2 = -b - r, -3*t = 2*b + 17. Let h(d) = -17*d - 15. What are the prime factors of h(b)? 5, 31 Let b = -42974 - -93574. List the prime factors of b. 2, 5, 11, 23 Suppose -69109 + 6796 = -4*f + 30835. What are the prime factors of f? 11, 29, 73 Let z = 28 + -26. Suppose 7*r = z*r + 4*l + 135, 3*r - 3*l - 81 = 0. List the prime factors of 1263/r - (-4)/18. 47 Suppose 3*o - 9941 = -2*c + 17899, -4*o = -3*c + 41692. What are the prime factors of c? 2, 3, 19, 61 What are the prime factors of 6/(-33) - 699680/(-440)? 2, 3, 5, 53 Let y be 590/4*(-10 + 12). Suppose -90 = c + 4*g, 3*c + y = -c - 3*g. List the prime factors of 5/c*-1690 - 2/(-7). 11 Let p = -111 - -120. Let y = 14 + p. List the prime factors of y. 23 Let l(s) = -12*s**3 + 4*s**2 - 4*s + 1. Let c be l(2). Suppose -3*m + 366 = -4*z, -m - 4*z = -0*m - 106. Let n = c + m. List the prime factors of n. 31 Let b = -6 + 18. Suppose -4*k = i - 16, 2*i - k = -5*k + b. What are the prime factors of (i/(-10))/((-4)/(-1560))? 2, 3, 13 Let j(l) = -l**3 - 3*l**2 - 126*l + 56. What are the prime factors of j(-16)? 2, 3, 5 Suppose 14*h - 7 = 15*h. Let u be ((-24)/10)/(h/(-35)). List the prime factors of (-2)/(-3) - 844/u. 71 Let m(s) = -2*s - 64. Let x be (-4 - (-40)/5) + -10. Let c(t) = -2*t - 63. Let g(o) = x*c(o) + 5*m(o). What are the prime factors of g(0)? 2, 29 Suppose -b + 0 = -4, 3*b - 2437 = -r. Suppose 0 = -10*a + 5975 + r. Suppose -4*f - 2 = 2, 4*s = 4*f + a. List the prime factors of s. 11, 19 Let a be ((4 + -4)/(-4))/1. Suppose -3*y + 202 + 86 = a. Suppose 0 = -k + y + 8. What are the prime factors of k? 2, 13 Suppose -109865 = 1656*c - 1663*c. What are the prime factors of c? 5, 43, 73 Suppose 5*f + 5*u - 5 = 0, 3*f + 3*u - 6 = u. Suppose f*r + 50 = 2*w, -w - 16 - 4 = r. Let a(p) = p**2 + 8*p - 17. What are the prime factors of a(r)? 2, 11 Suppose 3*p = -t + 111 - 59, 0 = -4*p - t + 70. List the prime factors of (p/(-10))/(6/(-1570)). 3, 157 Suppose -4*b = -7*b + 6. Suppose 3*i = 4*u + 269, 4*i - 17*u - 342 = -15*u. Suppose i = 3*p - b*f, -5*p + 3*f + 83 = -55. What are the prime factors of p? 3 Let t = 62577 + -41409. List the prime factors of t. 2, 3, 7 Suppose 2*u - 4*u = 0. Let v(b) = 17*b + 166. Let r(a) = 31*a + 329. Let l(m) = 6*r(m) - 11*v(m). List the prime factors of l(u). 2, 37 Let v(m) = -2*m**3 + 35*m**2 + 15*m + 36. Let t(h) = -2*h**2 - 27*h - 64. Let l be t(-9). List the prime factors of v(l). 2, 5, 29 List the prime factors of 4 + ((-110)/11 - -12) + 73038. 2, 3, 2029 Suppose 0 = -15*k + 6*k + 12006. Suppose -k - 3862 = -12*n. What are the prime factors of n? 433 Let h(b) = 2*b**3 - 126*b**2 + 40*b + 150. What are the prime factors of h(64)? 2, 3, 23, 79 Suppose 4*a + 84 = 2*b, -4*b + 0*b + 144 = 4*a. Let v be (52 - 1)/(19/b). Let n = v + -5. List the prime factors of n. 97 Suppose 8*j - 120 = -0. Suppose -j = 3*z, 5*z = -4*o + 3*z + 610. What are the prime factors of o? 5, 31 Let l(m) = 705*m + 104. Let y be l(3). Suppose -10*x + y = 779. List the prime factors of x. 2, 3 What are the prime factors of 4/(-10) + 243/270 + 897/2? 449 Let i(n) = 2*n - 18. Let d = 10 - -1. Let l be i(d). Suppose -3*k + 4*x = -241, 32 = l*k - 5*x - 289. What are the prime factors of k? 79 Suppose 5*y + y = 18. Let w be y/(26/(-16) + 2). List the prime factors of (20/w)/((-4)/(-168)). 3, 5, 7 Suppose -18130 = -13*n - 36*n. List the prime factors of n. 2, 5, 37 Let o = 11955 - 2002. List the prime factors of o. 37, 269 Suppose -90137 - 26287 = 5508*f - 5526*f. What are the prime factors of f? 2, 3, 7, 11 Suppose -24*g + 648 + 66852 = 6*g. List the prime factors of g. 2, 3, 5 Let k = -36 - -42. Let w be k/(-21) + (-1)/(21/(-5823)). Suppose 5*j = 3*m - w, -m - 148 = -3*m - 4*j. What are the prime factors of m? 2, 3, 7 Let f(t) be the second derivative of t**5/20 - t**4/12 + t**3/2 - 9*t**2/2 + 2*t. List the prime factors of f(7). 2, 3, 17 Suppose -5*f - 18 = -48. Let x be (-21)/f*(-648)/42. Suppose 2*i - x = 248. What are the prime factors of i? 151 Let q(k) = -7*k**3 + k**2 - 2*k + 2. Let o be q(2). Suppose -632 = 12*c - 20*c. Let b = o + c. What are the prime factors of b? 5 Suppose -2*w = -4*w. Suppose -5*a + 15 = -21*m + 16*m, m = -2*a + 12. Suppose w = -s + a*s - 280. What are the prime factors of s? 2, 5, 7 Let d(n) = 9*n**3 - 5*n**2 - 5*n - 5. Let l be d(8). Suppose -8*q = -l + 1443. List the prime factors of q. 2, 5, 7 Suppose -2*r - 3*p = -1140 - 141, -2551 = -4*r + 5*p. Suppose -75 + r = -3*n. List the prime factors of (-24)/36 + n/(-3). 2, 31 Let s = -84 - -685. Suppose -17*j = -14*j - y - 1811, j + y - s = 0. List the prime factors of j. 3, 67 Let v = 25 - -9. Let p = 55 - v. Let d(m) = m**2 - 15*m - 31. List the prime factors of d(p). 5, 19 Suppose 31574 = -7*m + 105683. List the prime factors of m. 3, 3529 Suppose -4*a = -0*a - 144. Let b = a - 36. List the prime factors of 0 - 156/(-4 + b). 3, 13 List the prime factors of 2404*(-2 + 81/18). 2, 5, 601 Suppose -58 = -4*w - 42. Suppose h + w*p - 349 = 33, p = -5*h + 1929. List the prime factors of h. 2, 193 Let p(t) = -t**2 + 10*t - 16. Let x be p(3). Suppose 4*r - 3*d = 6001, 4*d = -5*r + x*d + 7493. What are the prime factors of r? 2, 7, 107 Suppose -224580 = -16*i + 173461 - 54297. List the prime factors of i. 2, 41, 131 Suppose 11 + 24 = 5*b. Suppose 3*z + 440 = b*z. Suppose 4*j + j = z. What are the prime factors of j? 2, 11 Let y(q) = 39*q**2 + 11*q. What are the prime factors of y(11)? 2, 5, 11 Suppose -5*k = 3*a - 149818, 0 = -5*k + 619*a - 617*a + 149838. What are the prime factors of k? 2, 14983 Let t(c) = 9*c**2 - c - 1. Let g be t(-1). Let w = -4863 - -5307. Suppose -g*q = -13*q + w. List the prime factors of q. 3, 37 Let j be 525 - 7/(7/(-2)). Let z = -189 + j. List the prime factors of z. 2, 13 Let h = -9858 - -23248. What are the prime factors of h? 2, 5, 13, 103 What are the prime factors of 11/(-154) + (-452805)/(-42)? 10781 Let z be 3/((-1 + -4)/(-135)). Let d = 149 - z. What are the prime factors of d? 2, 17 Let g = -53713 + 90112. List the prime factors of g. 3, 11, 1103 Let n(p) be the third derivative of -5*p**4/6 - 11*p**3/2 - 2*p**2. Let o be (2 - 10/4) + (-58)/4 + 4. List the prime factors of n(o). 11, 17 Let m = 22029 + -4432. List the prime factors of m. 17597 Suppose -10780 = -4*k - 2*r, -27*k = -25*k - 4*r - 5410. List the prime factors of k. 3, 29, 31 Suppose 0 = 5*g + h - 64 + 48, -2*g = 2*h - 8. Suppose -6 = -g*m, 4*m + 1480 = d + 3*d. List the prime factors of d. 2, 3, 31 Let y(p) = 31*p - 2. Let m be y(-1). Let d(z) = z**2 + 12*z - 39. List the prime factors of d(m). 2, 3, 109 Suppose 27*c + 25 = 22*c. Let f = -2 + -32. Let o = c - f. What are the prime factors of o? 29 What are the prime factors of (1 - -585)/(32/2880)? 2, 3, 5, 293 Let k = -391 - -448. Suppose 22*h - k*h = -20265. What are the prime factors of h? 3, 193 Let f be (0/(-1) - 1) + 1. Let d(g) = -175*g - 2271. Let m be d(-13). Suppose -a - 1 = f, 4*y + m*a - 109 = 3*y. What are the prime factors of y? 113 Suppose 294 = 5*o - 101. Suppose -3*b + o = 577. Let g = b - -298. What are the prime factors of g? 2, 3, 11 Let t(x) = 136*x**2 - 68*x - 218. What are the prime factors of t(-21)? 2, 30593 Suppose 0 = -3*h - 2*b + 9, -h + 2*h
{ "pile_set_name": "DM Mathematics" }
z(g) = -g**2 + 41*g + 237. Let o be z(38). Let f be (-2 - -1)*27*-1. What is the highest common factor of f and o? 27 Let l be ((-51)/(-2) - 3)/(44/88). Calculate the highest common factor of 9 and l. 9 Let i be (-2 - -15)*(-14 - -13). Let b = i + 14. Let h be (b + -61)/(8/(-16)*3). What is the highest common factor of 100 and h? 20 Let z = 415 + -406. Suppose -z*i = 499 - 598. What is the greatest common factor of 44 and i? 11 Suppose 3*b + 2*n - 3979 = 0, -n - 2059 - 582 = -2*b. What is the greatest common divisor of 49 and b? 49 Let i(m) = 3*m + 53. Let f be i(-6). Let r = -42 + 60. Suppose 8 = -2*c + r. What is the greatest common factor of f and c? 5 Suppose -3*j + 4*b + 1396 = -2000, -5*j + b + 5694 = 0. Let z(h) = 13*h - 5. Let r be z(5). What is the greatest common divisor of j and r? 60 Let y(w) be the second derivative of -w**5/20 + w**4/2 - w**3/2 - 5*w**2/2 + 57*w. Let g be y(4). Calculate the greatest common factor of 15 and g. 15 Let v(k) = -9*k**2 + 9*k - 17. Let j be v(4). Let b = j - -179. Calculate the greatest common divisor of b and 27. 27 Let o be 7*(1 - 2/14). Suppose -98 = -4*t - 2*r, -2*t - 3*t + 100 = -5*r. Suppose t*y = 27*y - 84. Calculate the highest common factor of o and y. 3 Let p(i) = 2. Let r(y) = -2*y + 64. Let d(g) = -2*p(g) + r(g). Let k be d(5). Calculate the highest common factor of 20 and k. 10 Suppose 5*l - 88 + 118 = 0, 4*j + 2*l = 2572. What is the greatest common divisor of j and 152? 38 Let c = -2527 + 3541. What is the highest common divisor of 18 and c? 6 Let h be 84/(-35)*572750/(-237). Calculate the highest common factor of h and 928. 232 Suppose -107 = -9*p - 89. Suppose 3*n - 876 = -p*i, -4*n = -26*i + 24*i + 890. What is the greatest common factor of i and 49? 49 Let b = 77 + -93. Let d be b/(1280/(-23550)) - (-3)/(-8). What is the greatest common factor of d and 63? 21 Let z = -1616 + 1746. What is the greatest common divisor of z and 100? 10 Suppose -1563 = -2*a - 471. Suppose -105*g - a = -108*g. Calculate the greatest common divisor of g and 52. 26 Let t = 3466 - 2614. What is the highest common divisor of 12 and t? 12 Let o(g) = 33*g - 21. Let u be 3/(4 - 65/15). Let z(d) = d + 1. Let r(k) = u*z(k) - o(k). Let i be r(-6). What is the highest common divisor of i and 33? 33 Let h = -5912 + 6224. Calculate the greatest common factor of 351 and h. 39 Suppose 4*t + 30 = 30. Suppose t = -1004*v + 997*v + 6664. What is the highest common divisor of 56 and v? 56 Let y be (-8)/14 - (-914)/7. Suppose -q - 17 = -2*l, 3*l = -l + q + 33. Let s be (4/(-10))/(l/(-520)). Calculate the highest common divisor of y and s. 26 Let a be ((-2)/4)/((-12)/(-243936)*-7). What is the greatest common divisor of a and 84? 12 Let t(b) = b**2 - 6*b + 8. Let l be t(4). Let v be -5 + 14 + (l - 4). Suppose -6*y - 6 = -3*y, -y = v*h - 418. Calculate the greatest common factor of 28 and h. 28 Suppose -n - 2398 = -3*a, -n - 2795 = -4*a + 403. Suppose o + a = 9*o. What is the highest common divisor of 60 and o? 20 Let h(b) = -b + 61. Let v(x) = -1. Let f(q) = h(q) - 3*v(q). Let t be f(5). What is the highest common divisor of t and 531? 59 Let c(z) = 5*z**3 + 4*z**2 + 3. Let y be c(-3). Let g be (-82)/(-8) + 24/y. Calculate the greatest common factor of g and 80. 10 Suppose -315 = -5*y + 5*a, 4*y - 264 = -4*a + 2*a. Suppose -h + 2*x + 4 = 0, 2*h + x - 20 - 3 = 0. Calculate the highest common factor of y and h. 5 Let c(a) = a**3 + 6*a**2 - 4*a + 9. Let o be c(-5). What is the greatest common factor of 360 and o? 18 Suppose -579 + 47 = -t + 157. What is the greatest common factor of t and 477? 53 Let i(s) = s**3 + 11*s**2 + 13*s + 19. Let g be i(-9). Let x be ((-8)/(-20) - 1) + 326/10. Calculate the highest common factor of x and g. 32 Suppose 2*j + 2*f = 8, -j + 5*j - 14 = -2*f. Suppose 2*t + l - 8 = 0, t - 1 + 2 = -j*l. What is the highest common factor of t and 155? 5 Let z be 48 + 1/1 + -1. Let n(j) = -21*j - 199. Suppose -2*d = a - 3*a + 20, -d - 4*a = 15. Let k be n(d). What is the greatest common factor of k and z? 16 Suppose 5*w + 12 = -3. Let q be w/6*(0 + -8). Suppose -7*b - 9*b + 32 = 0. What is the highest common divisor of q and b? 2 Let b = 40 + -40. Suppose b = 2*c - 3*r - 182 - 131, 0 = 5*c - 4*r - 786. Let k = c - 89. Calculate the highest common divisor of k and 23. 23 Let h = 2 - -2. Suppose -4*s + 4*q = -72, -57*q - 46 = -3*s - 58*q. Calculate the greatest common factor of h and s. 4 Let t = 5018 + -4142. Calculate the highest common factor of 60 and t. 12 Suppose 17*n = -666 + 10543. Suppose 10*g - n = -81. Calculate the highest common divisor of 150 and g. 50 Let c(g) be the third derivative of -97*g**4/12 + g**3/3 + 35*g**2 - 3. Let r be c(-2). Calculate the greatest common divisor of r and 30. 30 Let j be -6*(-1 - 16) - (-119)/((-4998)/(-252)). What is the greatest common divisor of 228 and j? 12 Let n be (-108)/486 - 1334/(-9). Suppose -2*t + 214 = n. What is the highest common factor of 55 and t? 11 Suppose -8*s - 32 = 0, s - 643 - 118 = -5*j. Calculate the greatest common divisor of 629 and j. 17 Let z = 247 - 130. Suppose 4*q - 17*q - 2106 = 0. Let g = q + 188. What is the highest common divisor of g and z? 13 Let m be 15 - 315997/(-138) - ((-10)/(-12) - 0). What is the highest common factor of m and 36? 36 Let m(l) = -4*l**3 + 4*l**2 - 202*l - 600. Let t be m(-3). Calculate the highest common factor of 186 and t. 6 Let b be 184*2 - (-88)/8. Suppose 0 = -0*y - 3*y + 12. Suppose y*h + 2*f = 482, 0*f + 2*f + b = 3*h. Calculate the highest common divisor of 82 and h. 41 Let c(o) = -o**3 + 27*o**2 + 26*o + 74. Let a be c(28). Let i be ((-19)/(-2) + 4)*a - 5. Calculate the greatest common divisor of 34 and i. 34 Suppose k = 2*h + 16, -4*k - 4*h + 38 = -k. What is the highest common divisor of k and 1946? 14 Let q be (1 - -81)*(-6)/(-4). Let a(u) = 28*u**2 - 394*u + 393. Let s be a(13). Calculate the highest common divisor of q and s. 3 Let s be ((-1320)/135)/((-1)/18). What is the greatest common divisor of 396 and s? 44 Let x = -14266 + 14510. What is the highest common divisor of 1647 and x? 61 Suppose -79*o + 550 = -89*o. Let t be (-11)/(o/936) + (-4)/20. What is the greatest common factor of 34 and t? 17 Let b = 563 - 522. Let g = 959 - b. Calculate the highest common factor of g and 34. 34 Let q(x) = x - 5. Suppose -10 = -5*z, -2 = c + 4*c + 4*z. Let b be (-240)/(-16) - (-4)/c. Let k be q(b). What is the greatest common factor of k and 88? 8 Suppose -14*x - 119 + 903 = 0. What is the highest common factor of x and 552? 8 Let m = 7815 - 7810. Let u be 0 - (-1*2 + 3). Let x be (2 + u)/((-1)/(-55)). What is the greatest common factor of x and m? 5 Let z(y) = 3 - 22*y - 15*y + 41*y + 4 - 15*y. Let s be 2 + 2*(-10)/4. Let q be z(s). Calculate the highest common divisor of q and 50. 10 Let y(i) = 20*i - 1. Let o be y(2). Suppose 5*l + 44*b - 40*b = -76, l + 14 = -b. Let n = l + o. Calculate the highest common divisor of n and 171. 19 Let x = 78 + 0. Let p be (20 + -33)/(2*(-1)/16). Calculate the greatest common divisor of p and x. 26 Let f(r) = -r**2 + 29*r + 18. Let n be f(13). Let t = n + -44. Let u be 1 + 14 + -14 + 13. Calculate the greatest common divisor of u and t. 14 Suppose -3*n = -5*x + 56, 14 - 34 = -3*x - 5*n. Suppose 4*o - 3*o = 3. Suppose -o*s = -6*s + 75. What is the highest common divisor of s and x? 5 Let w(r) = -2*r**2 - 11*r + 3. Let q = -8 - -4. Let m be w(q). Calculate the highest common divisor of 12 and m. 3 Let c be 1*(0 - -1)*-43. Let v = -1644 + 1650. Let d = v - c. What is the highest common divisor of 7 and d? 7 Let v(o) = -3*o + 123. Let r be v(15). Let l(u) = 21*u**3 - 2*u**2 + 1. Let d be l(1). Let x = d - -6. Calculate the greatest common factor of r and x. 26 Suppose -50*g - 39*g = -12*g - 998613. Calculate the greatest common divisor of g and 33. 33 Suppose 4805*l - 4822*l = -22950. What is the highest common divisor of l and 40? 10 Suppose 56 = 2*j + 4*f, -121 + 18 = -4*j + f. Suppose -2*d - 1316*r = -1313*r - 212, 0 = -3*d - r + 283. What is the highest common factor of j and d? 13 Let o be (8/12)/((-8)/(-84)). Let v(t) = -2*t**2 + 20*t - 12. Let l be v(o). Calculate the greatest common divisor of 240 and l. 30 Let i = 20 - 11. Let l be (6/2)/(i/630). What is the h
{ "pile_set_name": "DM Mathematics" }
is the greatest common factor of 124 and 235693? 31 What is the greatest common factor of 1252791 and 9? 9 What is the highest common divisor of 796 and 1393398? 398 Calculate the greatest common divisor of 7738 and 11534. 146 What is the highest common factor of 160 and 303760? 80 What is the highest common divisor of 117 and 297570? 39 Calculate the highest common divisor of 21455 and 40. 5 What is the highest common factor of 3 and 278321? 1 Calculate the highest common factor of 1876 and 37044. 28 Calculate the greatest common divisor of 166 and 1552. 2 What is the highest common factor of 116 and 34742? 58 Calculate the greatest common divisor of 1000 and 1613000. 1000 What is the greatest common divisor of 1332 and 3626? 74 Calculate the highest common divisor of 129710 and 102. 34 What is the highest common factor of 61 and 451583? 61 What is the highest common divisor of 279 and 3330981? 279 Calculate the greatest common factor of 20 and 52420. 20 What is the highest common factor of 514 and 2742? 2 Calculate the highest common factor of 757092 and 294. 42 What is the highest common factor of 80 and 615744? 16 What is the greatest common factor of 1966040 and 2760? 920 Calculate the greatest common divisor of 812303 and 89. 89 Calculate the greatest common factor of 972 and 4131. 243 What is the greatest common divisor of 646 and 1343? 17 Calculate the highest common divisor of 7056 and 1134. 126 Calculate the greatest common factor of 168 and 220528. 56 What is the highest common divisor of 2312 and 185827? 289 Calculate the highest common factor of 6696 and 4776. 24 What is the highest common factor of 2060 and 268? 4 Calculate the greatest common divisor of 67 and 516101. 67 Calculate the highest common factor of 431406 and 9. 9 Calculate the highest common divisor of 1215 and 5. 5 What is the greatest common divisor of 203506 and 1164? 194 Calculate the greatest common factor of 4220 and 40301. 211 Calculate the highest common divisor of 60 and 7530. 30 What is the greatest common divisor of 48723 and 3129? 447 What is the highest common divisor of 64892 and 12? 4 What is the highest common divisor of 418524 and 252? 12 Calculate the highest common factor of 24278 and 854. 122 Calculate the greatest common factor of 27086 and 7598. 58 What is the greatest common factor of 11600 and 378800? 400 Calculate the greatest common factor of 145934 and 19495. 557 Calculate the greatest common divisor of 24829 and 21. 7 Calculate the highest common divisor of 95 and 28139. 19 Calculate the highest common divisor of 12806 and 1685. 337 What is the highest common factor of 119 and 157913? 119 Calculate the highest common factor of 2743821 and 302. 151 Calculate the highest common divisor of 46752 and 48. 48 Calculate the highest common factor of 42873 and 11811. 93 Calculate the highest common factor of 7310040 and 240. 120 Calculate the highest common divisor of 100 and 337825. 25 Calculate the highest common factor of 1208 and 1992. 8 What is the greatest common divisor of 136 and 36601? 17 What is the highest common factor of 128 and 27360? 32 Calculate the highest common factor of 4684 and 6. 2 What is the greatest common factor of 11919 and 145? 29 Calculate the greatest common factor of 744 and 1440. 24 Calculate the greatest common divisor of 52 and 50258. 26 Calculate the greatest common factor of 108671 and 4336. 271 Calculate the highest common factor of 435 and 491550. 435 Calculate the greatest common divisor of 2640 and 546. 6 Calculate the greatest common divisor of 457068 and 492. 492 What is the highest common factor of 108 and 48834? 18 What is the greatest common divisor of 64 and 1425472? 64 Calculate the greatest common factor of 250914 and 93. 93 What is the greatest common divisor of 82 and 1144? 2 Calculate the greatest common divisor of 196 and 14889. 7 Calculate the greatest common divisor of 82516 and 25284. 196 What is the greatest common factor of 15385 and 85? 85 What is the highest common factor of 80 and 8010? 10 Calculate the greatest common divisor of 65028 and 96. 12 What is the highest common divisor of 493 and 273173? 17 What is the greatest common divisor of 93245 and 60? 5 Calculate the greatest common factor of 1156 and 18564. 68 Calculate the greatest common factor of 1152 and 7848. 72 What is the highest common divisor of 1038 and 107606? 346 Calculate the highest common divisor of 1458454 and 53. 53 What is the highest common divisor of 27 and 369792? 27 What is the highest common factor of 444 and 85284? 12 Calculate the highest common factor of 156 and 6868524. 156 What is the highest common factor of 107 and 21935? 107 Calculate the greatest common factor of 8150736 and 43. 43 What is the highest common factor of 6550 and 3250? 50 Calculate the greatest common factor of 192 and 341556. 12 Calculate the greatest common divisor of 930 and 3534. 186 What is the highest common divisor of 1080 and 120? 120 What is the greatest common divisor of 102 and 40137? 51 Calculate the greatest common factor of 8800 and 7425. 275 What is the greatest common divisor of 1358 and 6734? 14 Calculate the greatest common factor of 461346 and 102. 102 Calculate the greatest common factor of 37810 and 597. 199 What is the greatest common factor of 64 and 2826480? 16 What is the highest common factor of 330746 and 52? 26 Calculate the greatest common factor of 196 and 1099. 7 What is the greatest common divisor of 8732 and 2294? 74 Calculate the highest common divisor of 1077 and 11129. 359 What is the highest common factor of 3933 and 2967? 69 Calculate the highest common factor of 56 and 12032. 8 What is the highest common divisor of 4669 and 126875? 203 Calculate the greatest common factor of 8547 and 565323. 1221 What is the greatest common factor of 3960 and 13560? 120 Calculate the highest common factor of 14 and 170254. 14 Calculate the highest common factor of 385 and 44814. 77 What is the highest common divisor of 70 and 143290? 70 Calculate the highest common divisor of 366380 and 60. 20 Calculate the greatest common factor of 96133 and 16469. 383 What is the highest common factor of 13095801 and 9? 9 Calculate the greatest common factor of 31975 and 475. 25 Calculate the highest common divisor of 166470 and 186. 186 Calculate the highest common divisor of 272 and 1717544. 136 What is the highest common factor of 6448 and 1519? 31 What is the greatest common factor of 5456 and 35216? 496 What is the highest common factor of 55472 and 16? 16 Calculate the greatest common divisor of 234 and 3728673. 117 Calculate the greatest common factor of 177644 and 1497. 499 What is the highest common divisor of 5950 and 2198? 14 Calculate the greatest common divisor of 1684466 and 14. 14 Calculate the greatest common factor of 1057 and 761191. 151 What is the greatest common factor of 799066 and 14975? 599 What is the greatest common divisor of 123270 and 7350? 210 What is the highest common divisor of 735 and 453201? 147 Calculate the greatest common factor of 35 and 548275. 35 Calculate the greatest common factor of 680 and 1624520. 680 What is the highest common divisor of 4300 and 220? 20 Calculate the greatest common factor of 14 and 5496330. 14 What is the greatest common factor of 116 and 7018? 58 Calculate the greatest common factor of 1430 and 5. 5 Calculate the highest common divisor of 51681 and 378. 21 Calculate the greatest common factor of 308 and 36124. 44 What is the greatest common factor of 144 and 2169072? 144 Calculate the highest common divisor of 3504 and 21. 3 Calculate the greatest common divisor of 38130 and 9963. 123 Calculate the greatest common factor of 18151 and 14. 7 What is the greatest common divisor of 192 and 67812? 12 Calculate the greatest common factor of 208 and 248576. 16 Calculate the greatest common factor of 9584 and 32. 16 What is the highest common factor of 147 and 425761? 49 Calculate the greatest common factor of 193225 and 1100. 25 What is the highest common factor of 4712 and 4864? 152 Calculate the greatest common factor of 2750 and 49720. 110 Calculate the greatest common divisor of 371817 and 3807. 1269 What is the highest common factor of 57 and 73587? 57 What is the
{ "pile_set_name": "DM Mathematics" }
2488 + 751. Let a(x) = -5*x**2 + 0*x**2 - 11*x - 3 + 4*x**2. Give a(o). -3 Let x(t) = -t**3 + 6*t**2 - t + 3. Let v = -31 - -48. Suppose v*k = 16*k + 5. Suppose -19 = -2*g - 2*g + 5*r, 0 = -5*g - k*r + 35. Give x(g). -3 Let g(a) be the first derivative of -1/4*a**4 - 5/3*a**3 - 3*a**2 + 17 - 3*a. What is g(-2)? -3 Let s = 569 + -565. Let q(h) be the third derivative of -1/3*h**3 + 0 - 24*h**2 + 0*h + 1/6*h**s. What is q(2)? 6 Let m(y) be the first derivative of -8*y**3/3 + 5*y**2/2 + 27*y + 13408. Give m(-3). -60 Let p(b) = -336*b**2 + 34 - 4*b - 114 + 669*b**2 - 332*b**2. Give p(11). -3 Let j(r) be the third derivative of r**6/120 + 11*r**5/60 + r**4/3 - 10*r**3/3 - 2383*r**2. Determine j(-10). 0 Suppose -f = -3*f + 4*a - 1606, -5*f + 2*a - 4023 = 0. Let g = f - -807. Let r(s) = 4*s + 1. What is r(g)? 9 Suppose 4*v = 0, 0 = -2*h - 7*v + 11*v + 238. Let n(b) = -113 + b + 221 - h. Let y = -14 + 20. Give n(y). -5 Let x = 124 + -450. Let b = x - -324. Let i(c) be the second derivative of 3*c**3/2 + 2*c. What is i(b)? -18 Let x be 1/(24/(-192)*8/(-14)). Let j(a) = -6*a**2 + 7. Let z(l) = -l**2 - 1. Let v(h) = x*z(h) + 2*j(h). What is v(1)? -26 Let u(f) = 3*f + 4. Let q(y) = -y**3 + 2*y**2 - 3*y + 1. Suppose 2*j - 55 = -3*j. Let h(p) = p**2 - 11*p + 2. Let k be h(j). Let z be q(k). Determine u(z). -11 Let m(k) = k**3 + 9*k**2 + 8*k + 10. Let w be -5 + (-6)/8 + 1/(-4). Let n(b) = b - 2. Let c be n(w). Calculate m(c). 10 Let z(d) = -459 + 153 + 151 + 151 - 2*d. Determine z(6). -16 Let u(k) = -1 - 268146*k - 11 + 268149*k. What is u(11)? 21 Suppose -7 = -5*g + 13. Let s be 4/g*1 - 0. Let i be (s + -2)/(-4 - -5). Let y(q) = -4*q**3 + q + 1. Give y(i). 4 Let z(i) = i**3 - 10*i**2 + 7*i + 8. Let v(n) = -10*n**2 + 5 + n**3 - 3 + 5 + n**2 + 6*n. Let w(r) = 5*v(r) - 4*z(r). Determine w(3). -9 Let o(j) be the second derivative of -15*j + 5/6*j**3 + 10*j**2 - 1/6*j**4 + 1/120*j**6 + 0 - 1/12*j**5. Let t(b) be the first derivative of o(b). What is t(6)? 17 Let v(j) be the second derivative of 1/20*j**5 - 1/6*j**4 - 233*j + 0*j**2 + 0 - 2/3*j**3. Let b(g) = -g**3 + 5*g**2 + 7*g - 3. Let x be b(6). Give v(x). -3 Let r(q) = -473*q - 530*q + 1968*q - 546*q - 236 - 497*q. What is r(-3)? -2 Let i = 54 + -51. Suppose -4*z = i*q - 44, 3*z + 16 = 2*q - z. Let k(c) = -q*c + 1 + 5*c + c + 12*c. Calculate k(-3). -17 Suppose 36 + 21 = -3*g. Let k(d) be the first derivative of d**3/3 + 9*d**2 - 13*d + 729. Calculate k(g). 6 Let r(t) = -t**3 - 19*t**2 + 43*t + 16. Let x be r(-21). Let y be 2/(-5) - ((-8)/(-5) - x). Let j(q) = q**3 + 8*q**2 + 3*q - 2. Calculate j(y). 26 Let l(h) = 21*h - 11. Let k(o) = -25*o + 12. Let q(a) = -5*k(a) - 6*l(a). Calculate q(10). -4 Let i(u) = 10*u**3 - u**2 - 9*u**3 - 2 + 9. Let o = -129 - -134. Let g be 0*-6*o/(-120). Calculate i(g). 7 Let b(m) = m + 3. Suppose -3*a + 5*k = 110, 3*a + 78 = a + k. Let i = a + 65. Suppose 0 = 3*p - 3*c + c + 15, -5*p - i = 2*c. Determine b(p). -2 Let a(m) = m**3 + 5*m**2 + 6*m + 1. Suppose -109*k - 6*u + 72 = -114*k, 2*k - 23 = -5*u. Calculate a(k). -71 Let h(a) = -612*a + 4894. Let m be h(8). Let r(l) be the first derivative of l**2/2 - 1. Let b(s) = 2*s. Let n(v) = 2*b(v) - 5*r(v). Calculate n(m). 2 Let c(n) = -n**3 - 12*n**2 - 2*n - 31. Let o = -348 - -336. Give c(o). -7 Suppose -14*p + 78 = -20. Let k(i) = -8*i + 52. Calculate k(p). -4 Let j(x) = -14*x**3 + x**2 - x + 1. Let q be (-6)/(-2)*8/(-12). Let s be (1 - (-3)/q)*-2. Let r be s/((1 + 0)*1). Give j(r). -13 Let z = -59 + 63. Let t(x) be the first derivative of -38 + z*x - 5*x**2 + 4 + 4*x**2. Calculate t(-5). 14 Let p = 62 + -46. Let r be (6 - 1)*(p + -17). Let g(k) = -k**2 - k + 1. Determine g(r). -19 Suppose 5*a = 4*l - 32, -5 = 2*a - 3*l + 5. Let u(g) = -g**3 - 9*g**2 - 12*g - 5. Let q be u(a). Let y = q + -33. Let d(s) = -3*s - 4. Calculate d(y). 14 Let z(r) be the second derivative of -1/20*r**5 - 1/3*r**4 + 0 - 1/2*r**2 - 327*r - 1/2*r**3. Let a(q) = q + 1. Let c be a(-3). Calculate z(c). -3 Let t(s) = -3*s - 3. Let a be (-166)/10 - (-8)/(-20). Let w be (a - 11) + (-3)/(3/(-2)). Let u = 24 + w. Determine t(u). 3 Suppose 0 = 4*n - 4, 6*s = s + 3*n + 47. Let c(r) = -3*r - 2*r + r**2 + 11 - 6*r. Determine c(s). 1 Let x(c) = 242*c + 130. Let v(j) = -73*j - 44. Let h(m) = 10*v(m) + 3*x(m). Give h(-23). 42 Let t(o) = -o**2 - 76*o + 59. Let x(h) = -2*h**2 - 117*h + 83. Let b(g) = 8*t(g) - 5*x(g). Calculate b(9). 12 Let b(u) = -5*u + 4. Let o(j) = -j. Let w(p) = -2*p**3 + 68*p**2 - 2*p + 64. Let a be w(34). Suppose -2*m + 1 = -m. Let s(r) = a*o(r) + m*b(r). Determine s(5). -1 Let y(k) be the first derivative of 7*k**2/2 - 17*k - 981. What is y(2)? -3 Suppose k = 4*j + 12, 0 = -4*j - 5*k - 16 + 4. Let x = j + -4. Let q(h) = 5 + 9*h + 142056*h**2 + 43*h**3 - 42*h**3 - 142048*h**2. What is q(x)? -9 Let r(l) be the first derivative of -l**2/2 - 2. Let a(s) = s + 8. Suppose 0 = 2*x - 2*d + 16, x - d = 3*x + 1. Let k be a(x). Give r(k). -5 Let l(v) = -v + 1. Let f be 1 - 27/(-6) - (-13)/(-26). Suppose -3*j + 8 + 19 = -f*b, 4*j = b + 2. Determine l(b). 7 Let n(z) = 0*z**2 - z**2 + 0 + 2. Let g(i) = -39 - 18*i + 15 + 20 + 18 + i**2. Let k be g(17). Give n(k). -7 Let b(f) = -f**2 + 10*f - 6. Let s be -1 - (-1 - (-1)/((-4)/(-704))). Let y be (4/(-16))/((-876)/s + -5). Determine b(y). -17 Suppose -4*a + 2*a = 2*k - 58, -53 = -2*k - a. Suppose -m - k = -5*d - 4*m, d + 2*m - 9 = 0. Let r(b) = -102*b + 4*b**2 + b**d + 98*b - 3 - b**2. What is r(-4)? -3 Let g(h) be the second derivative of 19*h**4/6 + 7*h**3/2 + 125*h. Calculate g(-1). 17 Let z(h) = 2*h - 1. Let d(m) = -19*m + 11. Let f(t) = 28*t - 17. Let w(j) = 8*d(j) + 5*f(j). Let c(p) = -w(p) - z(p). Calculate c(3). 28 Let g(b) = -72*b + 113. Let h(y) = 29*y - 55. Let t(i) = 2*g(i) + 5*h(i). What is t(27)? -22 Let s(f) = -f**2 + 5*f - 4. Suppose 2*o + 4*w + 40 = 0, -3*w = -5*o + 2*w - 40. Let z = 17 + o. Give s(z). -4 Let x(c) = c**2 + c - 1. Let s be x(-3). Let m(w) be the second derivative of -w**3/3 - 5*w**2/2 - 2*w - 6047. What is m(s)? -15 Let b be (10/(-3))/(2/(-3)). Suppose -s + 11 = -3*x - 1, s + 3*x + 6 = 0. Let v(u) = -s*u - 5 + 5*u + 0*u. What is v(b)? 5 Let a be (-5 + (-42)/(-12))/(1/12). Let m(z) be the first derivative of z**3/3 + 9*z**2 + 12*z + 2035. Determine m(a). 12 Let g(c) = c**3 - 4*c**2 - 4*c + 1. Let d be (-3 + 5)*3/(-6) - -1. Let j(l) = -l**3 + l**2 + 2*l + 5. Let m be j(d). Determine g(m). 6 Suppose -11*o = 7*o. Let m(j) be the first derivative of -1/3*j**3 - 5 + 1/4*j**4 - 6*j - 1/2*j**2. Calculate m(o). -6 Let w(b) = 273 + 82602*b + 23 - 60 - 82527*b. Give w(-3). 11 Suppose y + 2*y - 3*w = 21, -2*y = 3*w - 29. Let r(a) = -4227*a**2 + 12650*a**2 + 12 - 4187*a**2 - 2*a - 4235*a**2 - 9*a. Give r(y). 2 Let d = 36 + -34. Suppose d*a - 4*a = 0. Let o be (5 + (-9)/1)/(-2 - a). Let x(f) = -7*f + 2. Give x(o). -12 Let q be 144/8 + -5 + 0. Let u(o) = -14 - q*o - 2*o + 14*o. Give u(-5). -9 Let t(v) = 3*v + 26. Let d(m) = -2*m**3 + 13*m**2 + 24*m. Let b be d(8). What is t(b)? 26 Let l(i) = 9*i + 72. Suppose 20 = -2*m - 3*t + 2*t, 2*m + 4*t = -32. Give l(m). 0 Let l(b) be the second derivative of -b**5/20 + b**4/6 + b**2/2 - b. Let m = -95 + 97. Suppose m*t + 3*p = 4*t - 13, 4*p = -2*t - 8. Give l(t). 1 Let s(y) be the second derivative of 19*y**3/6 - y**2 - 14*y + 82. Calculate s(-6). -116 Suppose -19*v = 45 + 69. Let y(t) = t**3 + 5*t**2 - 9*t - 12. What is y(v)? 6 Let m(w) be the first derivative of 32 - 3*w**2 + 1/3*w**3 + 0*w. Determine m(7). 7 Let y(g) be the first derivative of g**2/2 + 25*g - 260. Let q(o) = 3. Let w(p) = -4*q(p) + y(p). Give w(0). 13 Let p(g) = -8*g - 2. Suppose -4*r + 0*r + 16 = 5*a, 4*a - 20 = -5*r. Suppose -4*u = r*h - 20, 5*h + 0*u + 2*u - 34 = 0. Suppose -h*o + 3 - 19 = 0. Give p(o). 14 Let a(d) = 3 + 6 - 5*d + 4*d. Suppose x + x + 3*i + 17 = 0, 3*x - 2*i = 33. Calculate a(x). 4 Let f(x) = x**3 - 20*x**2 + 18*x + 21. Let d be f(19). Let w = -64 - -66. Let k(s) = -5*s + 2 - 19*s**2 + 21*s**w + 2*s. Give k(d). 4 Let c(o) = -2*o**2 - 2*o + 5. Let q(m) = 2*m**3 - 87*m**2 + 825*m + 14. Let i be q(14). Calculate c(i). 5 Let z(b) = b**2 + 44*b + 358. Let i be z(-10). Let p be (-3)/(i/69) - (-11)/(-22). Let f(l) = -l**2 - 11*l + 10. Determine f(p). -2 Let i(z) = -18 + 7 - 9
{ "pile_set_name": "DM Mathematics" }
0*l = -1145*l + 90 for l. 6 Solve 0 = -49*b - 1478 + 2654 for b. 24 Solve 964*k - 897*k = 536 for k. 8 Solve 0 = 101*h - 484 + 80 for h. 4 Solve 0 = -q - 1743 + 1733 for q. -10 Solve 0 = 2*s - 16*s + 13 + 29 for s. 3 Solve 137*g + 332 + 1521 = 28*g for g. -17 Solve 4*w + 11216 = 11192 for w. -6 Solve -29*d - 2113 = -1417 for d. -24 Solve 740*y = -519*y + 12301 + 1548 for y. 11 Solve 0 = 344*l - 490*l + 1898 for l. 13 Solve -47*x + 10 = -138*x + 1466 for x. 16 Solve 236*v - 2387 = 681 for v. 13 Solve -182*c - 237 = 11*c + 44*c for c. -1 Solve -639 = -28*s - 499 for s. 5 Solve 19*i + 3*i - 66 = 0 for i. 3 Solve 230 = -32*d - 0*d - 218 for d. -14 Solve 641 + 93 = -236*j + 26 for j. -3 Solve -135 + 383 = -62*i for i. -4 Solve -220 = -33*l + 11 for l. 7 Solve -35040*i = -34997*i for i. 0 Solve -2*c - 217 = 29*c + 31 for c. -8 Solve 459*q - 108 = 495*q for q. -3 Solve -324*y = -23*y + 301 for y. -1 Solve 8*w = 73 + 35 - 196 for w. -11 Solve -273*l - 287*l + 798 = -522*l for l. 21 Solve 48*b = 10*b + 394 + 138 for b. 14 Solve -1808*v - 1815*v + 666 = -3660*v for v. -18 Solve 0 = -6*g - 33*g - 57 + 408 for g. 9 Solve 24*z + 165 - 182 = 247 for z. 11 Solve 135 = 20*f + f + 6*f for f. 5 Solve 3865 = 30*q + 3025 for q. 28 Solve 13*j + 182 + 258 = -31*j for j. -10 Solve -871*t - 693 = -808*t for t. -11 Solve 16*f - 4*f + 7*f + 114 = 0 for f. -6 Solve -45*x - 18*x - 280 = 602 for x. -14 Solve 14*d + 1665 - 1987 = 0 for d. 23 Solve 7616*r + 382 = 7588*r - 150 for r. -19 Solve -151*y + 285 - 2399 = 0 for y. -14 Solve 54*t = 64*t - 90 for t. 9 Solve -17*j - 33 - 36 + 69 = 0 for j. 0 Solve -21 = 83*s - 70 - 283 for s. 4 Solve 292*x - 4194 = 336*x + 422*x for x. -9 Solve 202*y - 287 = -41*y + 199 for y. 2 Solve 3*w - 3*w + 12 = 4*w for w. 3 Solve 11*p = 221*p + 232*p - 3536 for p. 8 Solve -70*x - 49 = 441 for x. -7 Solve 15117 = -520*l + 4197 for l. -21 Solve 6*c = c + 1588 - 1668 for c. -16 Solve 2929 - 4530 - 7783 = -276*t for t. 34 Solve 185*c + 268 - 1008 = 0 for c. 4 Solve 2501 = 201*m - 1318 for m. 19 Solve -186*y + 96*y - 182 = -103*y for y. 14 Solve -13*r - 19*r + 187 = -21*r for r. 17 Solve 280*j = 76*j + 1224 for j. 6 Solve 99*y - 8 = 2105 + 461 for y. 26 Solve 0 = -5*p + 61*p - 364 - 644 for p. 18 Solve 242 = -11*r + 7*r - 18*r for r. -11 Solve 58*n - 182 - 1268 = 0 for n. 25 Solve 169*h = 113*h - 50*h + 4028 for h. 38 Solve 44*k - 223*k + 63 = 421 for k. -2 Solve -1859 = -917*v + 1809 for v. 4 Solve -230*n = 3191 - 1014 + 4033 for n. -27 Solve -282 = -19*a - 149 for a. 7 Solve -50*v - 139 - 11 = -65*v for v. 10 Solve 539*s - 570*s - 341 = 0 for s. -11 Solve -399 = -4041*p + 4060*p for p. -21 Solve 0 = 8*o - 477538 + 477482 for o. 7 Solve 215*c - 522 = -1663 - 579 for c. -8 Solve -25*p = 989 - 889 for p. -4 Solve 4*y + 31*y = -37*y - 216 for y. -3 Solve 296 + 263 = 42537*v - 42580*v for v. -13 Solve 7*y - 70*y + 35*y + 140 = 0 for y. 5 Solve -752 = -94*h + 846 for h. 17 Solve 12*p - p - 162 = -7*p for p. 9 Solve 17*t + 173 - 25 = -107 for t. -15 Solve -12*k - 314 + 8 = -30 for k. -23 Solve -63*u + 441 = -198 + 198 for u. 7 Solve -454*w + 426*w = -168 for w. 6 Solve -95*m - 22*m + 1161 + 711 = 0 for m. 16 Solve -758*s - 266*s + 43929 = 603*s for s. 27 Solve 0 = -449*s - 565*s - 127*s - 12551 for s. -11 Solve 105*r + 15572 = 16517 for r. 9 Solve 0 = -299*g - 159 - 2831 for g. -10 Solve 164844 = o + 164845 for o. -1 Solve 353*f - 3 = 369*f - 35 for f. 2 Solve -372*s = -355*s + 25 - 110 for s. 5 Solve -3*w + 10 - 74 = -7*w for w. 16 Solve 328 + 86 = -30*h - 39*h for h. -6 Solve 130*v = 73772 - 77672 for v. -30 Solve 3555*f - 3571*f = 432 for f. -27 Solve -35100*x + 35035*x + 1040 = 0 for x. 16 Solve 853 = 230*z - 1217 for z. 9 Solve 8*d - 2*d - 16*d + 10 = 0 for d. 1 Solve 12*o - 207 = -351 for o. -12 Solve 0 = 21*a - 17 + 2 + 288 for a. -13 Solve -430 + 6081 = -1268*o - 4493 for o. -8 Solve 11 = -4940*f + 4939*f for f. -11 Solve 308 = -1239*z + 1261*z for z. 14 Solve -19*i - 86*i - 141 = 699 for i. -8 Solve 7 = 16*f + 12*f + 287 for f. -10 Solve -915*t - 45568 = 509*t for t. -32 Solve -69*p + 1494 = 105*p + 5670 for p. -24 Solve 7*y = -34 - 7 - 22 for y. -9 Solve -10*h + 35 = 16*h - 33*h for h. -5 Solve 30*r + 67*r = -10*r - 1177 for r. -11 Solve 14 - 75 = 25*h + 14 for h. -3 Solve 0 = -102*a + 31*a - 70*a + 2397 for a. 17 Solve -42*r - 29*r - 249 = -107 for r. -2 Solve -9445*w - 4 = -9449*w for w. 1 Solve -13*u - 333 = -123*u + 2087 for u. 22 Solve -180*s + 1664 = 28*s for s. 8 Solve -46 = 45*c + 89 for c. -3 Solve 491*q + 4360 - 2199 + 5695 = 0 for q. -16 Solve 343*r - 3404 - 884 = -515 for r. 11 Solve -599*w = -561*w for w. 0 Solve -1013*b - 7139 = 10082 for b. -17 Solve 107 + 196 + 13 = 79*v for v. 4 Solve 32*y + 277*y = 1236 for y. 4 Solve 1236 + 2012 = -203*x for x. -16 Solve 3*x + 7 = 12*x - 2 for x. 1 Solve -7767 = 803*c + 127*c - 67*c for c. -9 Solve -108 = 124182*l - 124185*l for l. 36 Solve 0 = 109*v - 159*v + 1100 for v. 22 Solve 636*p - 658*p + 129 - 569 = 0 for p. -20 Solve -14*w - 18168 = -18448 for w. 20 Solve 207 = -107*d + 51*d - 241 for d. -8 Solve -27*h - 59 = -17*h + 21 for h. -8 Solve 0 = 1885660*t - 1885643*t - 476 for t. 28 Solve 196 = -211*z + 113*z for z. -2 Solve 6 = 19*k + 158 for k. -8 Solve 8*y + 196 - 93 = 95 for y. -1 Solve -141 = 3*c + 29*c - 333 for c. 6 Solve 24*l + 45*l + 410 = -13*l for l. -5 Solve 8955 = 571*k + 406*k + 18*k for k. 9 Solve 275 = -19*n + 522 for n. 13 Solve 272 + 482 = -63*u + 250 for u. -8 Solve 50*q - 581 = 17*q - 1142 for q. -17 Solve -5148 + 1650 = -212*w - 106*w for w. 11 Solve 29*f + 19*f = -24*f + 360 for f. 5 Solve -3821 = -443*i - 720 for i. 7 Solve 3258 = -331*r - 1376 for r. -14 Solve 348*w - 3396 - 1476 = 0 for w. 14 Solve -1320*x - 17639 + 62519 = 0 for x. 34 Solve -162*y - 312 = -6*y for y. -2 Solve 0*n - 217 = -6*n - 295 for n. -13 Solve -477*a - 185*a + 14145 = -47*a for a. 23 Solve 13*m = 35*m - 16*m - 84 for m. 14 Solve 0 = 219*o - 1772 - 1513 for o. 15 Solve -3661*g + 4790*g - 5645 = 0 for g. 5 Solve 158*b = 384 + 90 for b. 3 Solve -385*r - 90*r + 22036 = 312*r for r. 28 Solve 6 = 38*g + 47 + 73 for g. -3 Solve 196450*q + 156 = 196444*q for q. -26 Solve -418*b + 405*b + 286 = 0 for b. 22 Solve 0 = 5*x - 2*x - 8*x - 19*x for x. 0 Solve 0 = 14*h + 4*h - 220 + 148 for h. 4 Solve -18745*v + 18750*v - 10 = 0 for v. 2 Solve -2520 = 102*x + 66*x for x. -15 Solve 0 = 70*r + 103*r - 198*r - 75 for r. -3 Solve -3658*d + 1040 = -3698*d for d. -26 Solve 0 = -11*p - 29*p + 520 for p. 13 Solve -16*r + 2 = 29 + 21 for r. -3 Solve 376 = 35*b + 481 for b. -3 Solve 116*z = 10740 - 11900 for z. -10 Solve -58*h - 304960 + 305250 = 0 for h. 5 Solve -83*t - 320 = -115*t for t. 10 Solve 70*q - 174 = -244 for q. -1 Solve 41*w + 110 = -33*w + 63*w for w. -10 Solve 35*b + 41 - 496 = 0 for b. 13 Solve -253 - 241 + 79 = 83*t for t. -5 Solve 3957 = 370*h + 257 for h. 10 Solve -20*b + 5 + 8 = -67 for b. 4 Solve 9499 = -1071*w - 12176 - 13668 for w. -33 Solve 18*j - 959 = -1139 for j. -10 Solve -44*f - 288 = -6*f + 54 for f. -9 Solve -41*d - 388 + 183 = 0 for d. -5 Solve 100 = 62*v + 1960 for v. -30 Solve 57*d - 353 = 901 for d. 22 Solve 447 = 10*t + 427 for t. 2 Solve -610 + 830 = 20*r for r. 11 Solve 28*j + 172*j + 2676 = -23*j for j. -12 Solve -707 + 1554 + 1073 = 60*m for m. 32 Solve 203*u - 116 - 109 = 194*u for u. 25 Solve 25299*h - 84 = 25287*h for h. 7 Solve 0 = -525*s + 594*s - 897 for s. 13 Solve 44*x + 19971 - 20587 = 0 for x. 14 Solve 6*d + 8056 = 8014 for d. -7 Solve 66*i + 875 + 604 = -21*i for i. -17 Solve 10*m + 548 = 288*m + 1938 for m. -5 Solve 347*t - 129*t = -4360 for t. -20 Solve 50*b - 54*b = 16 for b. -4 Solve 74*s - 169 = 941 for s. 15 Solve 5 + 115 = 8*n for n. 15 Solve 9219 = 2*g + 9195 for g. 12 Solve -157*q - 122 - 31 = -4*q for q. -1 Solve -1100*m + 1125*m + 300 = 0 for m. -12 Solve -181 + 601 = 105*i for i. 4 Solve 23204*z = 22996*z - 4784 for z. -23 Solve -10*s + 11*s = 11*s - 20 for s. 2 Solve -12150*r = -12132*r - 144 for r. 8 Solve 15*k - 1472 + 1836 = 67*k for k. 7 Solve 0 = 131*n - 111*n for n. 0 Solve -278*h + 6566 = 191*h for h. 14 Solve 35*x + 34*x = 85*x - 176 for x. 11 Solve -111*z + 77*z = -87*z - 795 for z. -15 Solve -47*v - 49 = -83*v + 131 for v. 5 Solve 10049*y
{ "pile_set_name": "DM Mathematics" }
(6 - -2). Suppose -5*v + 5*h + 60 = 0, -v + 4*h + 3 = -n. List the prime factors of v. 3 Let r(j) = 5*j**2 - j. Let b(n) = -2*n. Let t be b(1). Let c be t/3*6/4. What are the prime factors of r(c)? 2, 3 Suppose -2*t + 2*w + 26 = 0, 2*w = -2*t - 2*w + 2. What are the prime factors of (1 - t)*(-4 + 3)? 2 Let d(r) = -r**2 + 4*r + 1. Let a be d(4). Suppose -s + 5*f = -2*s - 8, 2*s - 5*f = -a. What are the prime factors of (45/(-6))/(s/4)? 2, 5 Let d(a) = -3*a**2 - a + 130. List the prime factors of d(0). 2, 5, 13 Let o(d) = 4*d**2 + 5 - 5 + 4*d**2 - d. List the prime factors of o(-1). 3 Let o(z) = z**2 + 5*z - 4. List the prime factors of o(-12). 2, 5 What are the prime factors of (50/(-35))/(-5) - (-964)/7? 2, 3, 23 Let p = -156 - -329. What are the prime factors of p? 173 Suppose -d + 71 - 19 = t, -4*d + 3*t + 229 = 0. Let v = -29 + d. Suppose -l + 3*l = v. List the prime factors of l. 13 Let q = 17 + 233. List the prime factors of q. 2, 5 Let b = 184 - 115. What are the prime factors of b? 3, 23 Let c(o) = -o**2 - 3*o + 13. Let x(q) = -q**2 - 4*q + 12. Let s(f) = f**2 - f - 4. Let k be s(0). Let l(i) = k*c(i) + 5*x(i). List the prime factors of l(-8). 2 Let p = 460 + -177. What are the prime factors of p? 283 What are the prime factors of 108 - 0/(-2 + -2 + 2)? 2, 3 Let r = 70 - 39. List the prime factors of r. 31 Let x(p) = p**3 - 2*p - 1. Let b be x(-2). Let w be 3*3*b/(-15). Suppose 0 = -3*m + 5*t + 13, 0 = -2*m + m - w*t + 9. List the prime factors of m. 2, 3 List the prime factors of 996/33 + (-4)/22. 2, 3, 5 Suppose -2*j - 2 + 6 = 0. List the prime factors of j. 2 Let g = 27 - 9. Let m be (-1)/(-6) + 87/g. List the prime factors of (-11)/(-1) - (2 - m). 2, 7 List the prime factors of 15/(-10) + 145/2. 71 Suppose 0*r = -5*r + 190. What are the prime factors of r? 2, 19 Suppose 8*h = 95 + 25. List the prime factors of h. 3, 5 Let d be 0*3/3 + -3. Let p be (d + 2 - -17)/2. Let i(y) = y**2 - 9*y + 10. What are the prime factors of i(p)? 2 List the prime factors of (-18)/(-5) - (-6)/15. 2 Let r = 136 + -80. What are the prime factors of r? 2, 7 What are the prime factors of 53 + (42/24 - 1/(-4))? 5, 11 Let g(d) = -d + 11. Let p be g(8). Suppose p + 0 = -y. List the prime factors of 9 + (-3)/y*-2. 7 Suppose -18 = -5*h + 12. Let j = -3 + h. Suppose -4*q = -3*f - 35, j*q - 33 = 2*f - 8. List the prime factors of q. 5 Let v be 1/(2/6) + 1. Suppose -5*k + v*h = -30, 0 = h - 4*h. What are the prime factors of k? 2, 3 Suppose 0 = -t - v + 44, -5*v - 3 = -2*v. Suppose 0*x + t = 5*x. What are the prime factors of (3/x)/(1/33)? 11 Let k be 42/(-9) + (-4)/(-6). List the prime factors of (-12)/(-6)*k/(-2). 2 Let x = 15 + 9. Suppose -9*y = -7*y - x. List the prime factors of y. 2, 3 Let j(d) = -d**2 - 8*d - 4. Let l be j(-5). Suppose -u + 0 + l = 0. What are the prime factors of u? 11 Let d(a) = 2 - 3 - 2 + 4*a. What are the prime factors of d(2)? 5 Let t(f) = -1. Let m(g) = 2*g + 14. Let h(j) = -m(j) - 5*t(j). Let q(l) = -2*l**2 + 2*l - 2. Let i be q(2). What are the prime factors of h(i)? 3 Suppose 3*s - 6 = -0*s. Suppose 0 = -3*l - 3*m + 81, 2*l - s*m = -6*m + 46. List the prime factors of l. 31 Suppose -j + 5*x + 2 = -2*j, -j - 3*x - 2 = 0. Let f = j + 16. What are the prime factors of f? 2, 7 List the prime factors of 3/(-6)*48*-2. 2, 3 Let t(q) = -9*q**2 + 13*q + 11. Let o(h) = 4*h**2 - 6*h - 5. Let n(g) = 7*o(g) + 3*t(g). Let u be n(3). List the prime factors of (-21)/(-6)*(4 + u). 7 Let i = -73 + 188. What are the prime factors of i? 5, 23 Let i be (22/(-4))/(8/(-16)). Let c = -7 + i. List the prime factors of c. 2 Suppose 50 - 350 = -5*x. List the prime factors of x. 2, 3, 5 Let w(t) = -173*t + 169*t - 2 - 1. What are the prime factors of w(-2)? 5 Let w(q) = -q + 5. Let i be w(0). Suppose -72 = 2*j - i*j. List the prime factors of j. 2, 3 Let s = -9 + 13. List the prime factors of s/(-6)*(-162)/12. 3 Let j(h) = -h**3 - 7*h**2 - 9*h - 18. Let a be j(-6). Suppose a = -o + 8 + 10. What are the prime factors of o? 2, 3 Let d = 104 + -64. What are the prime factors of d? 2, 5 Let u be (-6)/(-24) + (-71)/(-4). List the prime factors of 80/36 - 4/u. 2 Let x(n) = 34*n**3 - n. Let l be (-2)/(-6) + (-8)/(-12). List the prime factors of x(l). 3, 11 Let j = 34 - -35. What are the prime factors of j? 3, 23 Suppose 0 = 4*i - 53 - 295. What are the prime factors of i? 3, 29 Let p(j) = j**2 - 2*j + 4. List the prime factors of p(-7). 67 Let c(y) = y**2 - 2*y + 8. Let k(d) = -d**3 + 6*d**2 - 2*d + 7. Let s be k(6). List the prime factors of c(s). 43 Suppose -8*f = 1353 - 3593. What are the prime factors of f? 2, 5, 7 Let t = 94 + -63. List the prime factors of t. 31 Let z(o) = 17*o**3 - o**2 + o. What are the prime factors of z(1)? 17 Let y(f) = -f**3 + 11*f**2 - 13*f - 5. List the prime factors of y(7). 2, 5 Suppose -i + 5*v = -42, -5*i - 2*v - 59 + 161 = 0. What are the prime factors of i? 2, 11 Suppose 2*y = -4, 2 = -2*i - 3*y - 0. Suppose -2*o + v = 1, -3*o = -i*v + 7*v - 5. Let b(t) = t**3 - t + 10. What are the prime factors of b(o)? 2, 5 Let c = 894 - 1279. List the prime factors of c/(-21) - 1/3. 2, 3 Suppose 2*m - 4*t - 64 = 0, 3*m + 2*m - t - 115 = 0. What are the prime factors of m? 2, 11 Let d = -7 + 10. Suppose c + r = 23, -d*r = -1 - 2. What are the prime factors of c? 2, 11 Let y(q) be the third derivative of -q**6/120 + q**5/10 - q**4/4 + 7*q**3/6 - 3*q**2. List the prime factors of y(5). 2 Let z be (-2)/((1 - 2)*2). Suppose y - z = 1. Suppose 0 = y*b - 5*b + 42. What are the prime factors of b? 2, 7 Suppose 0 = n - 3*n + 38. List the prime factors of n. 19 Let u(s) = -3 + 2*s + s**2 + 1 + 3*s**2. What are the prime factors of u(2)? 2, 3 Let f(v) = -10*v + 9. List the prime factors of f(-4). 7 Let g(y) = 6*y**3 + 2*y**2 - 2*y. List the prime factors of g(2). 2, 13 Let f = -26 + 42. What are the prime factors of f? 2 Suppose 150 = -0*h - 2*h. Let v = 118 + h. List the prime factors of v. 43 Let a(v) be the second derivative of v**7/2520 - v**6/240 - v**5/40 + v**4/3 + v. Let c(j) be the third derivative of a(j). List the prime factors of c(5). 7 Suppose -8 = 5*c + 22. Let l = c - -6. Suppose 0 = -0*i + 3*i + j - 17, 5*i + 5*j - 45 = l. List the prime factors of i. 2 Let p = 14 - 22. Let y be 7*-20*6/p. Suppose -n - 4*n = -y. List the prime factors of n. 3, 7 Let x be 6/6 + 320/2. Let q = x + -112. What are the prime factors of q? 7 Let r(x) = -x**3 - 15*x**2 - 17*x - 34. What are the prime factors of r(-14)? 2 What are the prime factors of (-4)/(-6) + 1846/39? 2, 3 What are the prime factors of (2 - -1)/((-9)/(-201))? 67 Let m = 11 - 3. List the prime factors of ((-13)/(-4))/(m/64). 2, 13 What are the prime factors of (80/32)/((3/(-174))/(-1))? 5, 29 Suppose -2*j = x - 3*x - 212, x = 5*j - 534. What are the prime factors of j? 107 Suppose -4*p + y + 61 = 0, -y = p + 3*y - 28. Suppose -4 = -f + p. What are the prime factors of f? 2, 5 Suppose -3 = -5*s + 57. What are the prime factors of s? 2, 3 Let x be (4/16 + -1)*-4. Let y(z) = 0*z + 0*z - 3 + 3*z. List the prime factors of y(x). 2, 3 What are the prime factors of 111/2*(-68)/(-51)? 2, 37 Suppose -3*p + 2*f + 43 = -0*p, -3*p + 23 = 2*f. List the prime factors of p. 11 Suppose 3*h + 4 = h. Let z = 7 + h. List the prime factors of z. 5 Suppose 0*c - 10 = -2*c. List the prime factors of 1*(-1 - c/(-1)). 2 Let v(k) = -k + 4. Let t be v(-4). Suppose 4*p + 92 = t*p. List the prime factors of p. 23 Let s be (-6)/9 - 42/(-9). Suppose -3*t + s*l = -0*t - 72, -3*l + 120 = 5*t. List the prime factors of t. 2, 3 Suppose 0 = -0*s - 2*s. Suppose 5*f - 30 = 5*i, s*f + 5*i - 19 = -2*f. Let r = 15 + f. What are the prime factors of r? 2, 11 Suppose 14 = -0*w - 2*w. Let q(t) = -t**3 - 7*t**2 - t - 9. Let a be q(w). What are the prime factors of (2 - -11)/(a - -3)? 13 Let m = 11 + -9. Suppose -4*p + 108 = -m*h, -p + 3*h + 21 = h. What are the prime factors of p? 29 Suppose 4*c + 325 = 3*k, 3*c + 41 = -5*k + 602. List the prime factors of k. 3, 37 What are the prime factors of ((-375)/(-20))/(6/16)? 2, 5 Let q be 231/15 + (-2)/5. Suppose 5*l - q = -0*l. Suppose 2*y - 24 = -2*z, -3*z - l*y = z - 43. List the prime factors of z. 7 Let k(i) = -2*i + 1. Let r be k(1). List the prime factors of 2 - r - (-175)/7. 2, 7
{ "pile_set_name": "DM Mathematics" }
2)*(s - 1)*(s + 1)/2 Factor o**3/3 - 67*o**2/3 + 88*o/3 + 13552. (o - 44)**2*(o + 21)/3 Suppose -2*c**2/9 - 92*c/9 - 10 = 0. What is c? -45, -1 Find x, given that -3*x**5 - 18*x**4 + 21*x**3 = 0. -7, 0, 1 Find k such that -12*k**4/5 + 4*k**3 + 16*k**2/5 - 16*k/5 = 0. -1, 0, 2/3, 2 Find c such that 3*c**2/2 + 789*c - 1581/2 = 0. -527, 1 Factor s**5 - 12*s**4 - 96*s**3 + 1792*s**2 - 6144*s. s*(s - 8)**3*(s + 12) Solve -s**3 - 16*s**2 + 61*s + 76 = 0 for s. -19, -1, 4 Determine b so that -b**5 + 3*b**4 + 4*b**3 - 12*b**2 = 0. -2, 0, 2, 3 What is p in 243*p**5/4 + 1863*p**4/4 + 972*p**3 + 882*p**2 + 372*p + 60 = 0? -5, -2/3 Suppose -36*r**3 - 136*r**2 + 32*r = 0. Calculate r. -4, 0, 2/9 What is u in -2*u**3 - 308*u**2 = 0? -154, 0 Let -w**2/5 + 124*w/5 - 3844/5 = 0. What is w? 62 Suppose -4*q**5 - 16*q**4 - 16*q**3 = 0. Calculate q. -2, 0 Factor -3*g**4/2 - 33*g**3 + 69*g**2/2. -3*g**2*(g - 1)*(g + 23)/2 Factor -r**2/4 + 5*r/4 + 3/2. -(r - 6)*(r + 1)/4 Solve 1863*o**2 - 2*o = 0. 0, 2/1863 Factor -3*h**3/4 - 873*h**2/4 - 216*h + 435. -3*(h - 1)*(h + 2)*(h + 290)/4 Solve -4*p**4 + 72*p**3 - 324*p**2 = 0 for p. 0, 9 Determine l, given that -2*l**2 + 28*l + 64 = 0. -2, 16 Factor 27*s**3 - 6000*s**2 + 1332*s. 3*s*(s - 222)*(9*s - 2) Factor -4*l**2 - 432*l - 3200. -4*(l + 8)*(l + 100) Factor -5*t**3/2 + 17*t**2/2 + 7*t - 4. -(t - 4)*(t + 1)*(5*t - 2)/2 Suppose d**4/4 + 51*d**3/4 + 73*d**2/2 + 24*d = 0. Calculate d. -48, -2, -1, 0 Factor -a**4 + 66*a**3 - 1020*a**2 - 2312*a. -a*(a - 34)**2*(a + 2) Factor -3*s**2/4 - 165*s/4 + 171/2. -3*(s - 2)*(s + 57)/4 Determine z so that z**2/2 - 7*z - 16 = 0. -2, 16 Determine f so that f**5/5 - f**4 - 16*f**3/5 + 68*f**2/5 - 48*f/5 = 0. -4, 0, 1, 2, 6 Factor -10*b**5/3 + 46*b**4/3 - 8*b**3. -2*b**3*(b - 4)*(5*b - 3)/3 Let -2*d**2/3 + 184*d/3 = 0. Calculate d. 0, 92 Let -4*n**4 + 64*n**3 - 156*n**2 = 0. What is n? 0, 3, 13 Find a, given that 9*a**5 - 435*a**4 + 6624*a**3 - 33264*a**2 + 10368*a = 0. 0, 1/3, 12, 24 Find i, given that -5*i**3 + 20*i**2 - 25*i + 10 = 0. 1, 2 Find q, given that -5*q**2 - 15*q + 20 = 0. -4, 1 Suppose 2*t**4 + 8*t**3 + 10*t**2 + 4*t = 0. What is t? -2, -1, 0 Factor 5*w**5 + 35*w**4 - 90*w**3. 5*w**3*(w - 2)*(w + 9) Factor j**2/10 + 18*j/5. j*(j + 36)/10 Factor -k**3/4 + k**2 + 224*k + 2304. -(k - 36)*(k + 16)**2/4 Solve 4*t**2 - 100*t + 96 = 0 for t. 1, 24 Solve -o**3/4 - 47*o**2 - 373*o/4 - 93/2 = 0 for o. -186, -1 Find d, given that 14*d**3/5 - 83*d**2/5 + 64*d/5 + 1 = 0. -1/14, 1, 5 Determine j, given that -3*j**2/2 + 579*j - 111747/2 = 0. 193 Factor 5*r**3/2 + 95*r**2 + 1190*r + 4900. 5*(r + 10)*(r + 14)**2/2 Solve 4*c**4 + 1144*c**3 + 85156*c**2 + 480480*c + 705600 = 0. -140, -3 Let -2*k**2/13 - 4*k/13 + 336/13 = 0. Calculate k. -14, 12 Find v such that -v**2/7 - v/7 + 6/7 = 0. -3, 2 Factor -5*i**4 - 15*i**3 + 20*i. -5*i*(i - 1)*(i + 2)**2 Solve -4*d**3 - 32*d**2 - 48*d = 0. -6, -2, 0 Determine f so that 4*f**2 - 4616*f + 1331716 = 0. 577 Find c such that -c**5/6 - c**4 + 11*c**3/6 + 8*c**2 - 50*c/3 + 8 = 0. -6, -4, 1, 2 Suppose -2*l**3/13 - 2012*l**2/13 + 310*l - 2016/13 = 0. What is l? -1008, 1 Solve -n**4/2 + 99*n**3/2 + 203*n**2/2 - 99*n/2 - 101 = 0. -2, -1, 1, 101 Find q, given that -3*q**4 - 552*q**3 + 3*q**2 + 552*q = 0. -184, -1, 0, 1 Solve -44*q**2 - 19664*q + 1788 = 0. -447, 1/11 Let -2*k**4/11 + 2928*k**3/11 - 1071648*k**2/11 = 0. What is k? 0, 732 Suppose m**2/2 + 3077*m + 9467929/2 = 0. Calculate m. -3077 What is o in 115*o**3 - 125*o**2 - 220*o + 20 = 0? -1, 2/23, 2 Solve 4*a**2/5 + 118*a/5 - 12 = 0 for a. -30, 1/2 Let 2*u**2 - 5622*u = 0. Calculate u. 0, 2811 Find p, given that -3*p**3 + 636*p**2 - 4944*p + 9792 = 0. 4, 204 Let 2*i**3/7 + 66*i**2/7 + 240*i/7 + 232/7 = 0. What is i? -29, -2 Solve -2*g**2 + 298*g - 876 = 0. 3, 146 Factor -u**2/7 + 10*u/7. -u*(u - 10)/7 Factor 2*w**2 - 98*w. 2*w*(w - 49) Factor -a**2 - 47*a + 48. -(a - 1)*(a + 48) Suppose n**5 + 3*n**4 - 6*n**3 - 26*n**2 - 27*n - 9 = 0. Calculate n. -3, -1, 3 Determine w, given that w**4/6 - 826*w**3/3 - 551*w**2/2 = 0. -1, 0, 1653 Factor 2*k**3/3 - 304*k**2 + 34040*k + 423200/3. 2*(k - 230)**2*(k + 4)/3 Solve -2*u**4/7 + 20*u**3/7 + 46*u**2/7 + 24*u/7 = 0 for u. -1, 0, 12 Factor -5*l**4/2 - 5*l**3 + 75*l**2/2. -5*l**2*(l - 3)*(l + 5)/2 Find c such that -50*c**3 + 54*c**2 - 4*c = 0. 0, 2/25, 1 Factor 2*w**5 + 488*w**4 + 30720*w**3 + 115200*w**2. 2*w**2*(w + 4)*(w + 120)**2 Suppose -25*u**5 + 340*u**4 + 965*u**3 - 20*u**2 - 940*u - 320 = 0. Calculate u. -2, -1, -2/5, 1, 16 Factor -2*b**3/9 - 10*b**2/9 - 2*b/3 + 2. -2*(b - 1)*(b + 3)**2/9 Factor -o**4/4 + 271*o**3/4 - 539*o**2/4 + 269*o/4. -o*(o - 269)*(o - 1)**2/4 Solve -3*t**4 - 105*t**3 - 663*t**2 - 255*t + 4050 = 0 for t. -27, -5, 2 Factor 3*m**4 + 102*m**3 + 1263*m**2 + 6732*m + 13068. 3*(m + 6)**2*(m + 11)**2 Solve 3*h**3 - 492*h**2 - 3*h + 492 = 0. -1, 1, 164 Find a such that -a**4/2 + 5*a**3/2 - 3*a**2/2 - 5*a/2 + 2 = 0. -1, 1, 4 Factor v**2/6 + 3*v/2 - 6. (v - 3)*(v + 12)/6 Find x such that 2*x**2 - 1092*x - 2192 = 0. -2, 548 Factor 4*v**4 - 32*v**3 + 48*v**2. 4*v**2*(v - 6)*(v - 2) Find t such that 2*t**3/19 + 194*t**2/19 + 752*t/19 + 744/19 = 0. -93, -2 What is f in 4*f**5 + 20*f**4 - 8*f**3 - 40*f**2 + 4*f + 20 = 0? -5, -1, 1 Solve -v**4 - 69*v**3 - 1155*v**2 + 1225*v = 0. -35, 0, 1 Factor 9*m**3/4 - 25*m**2/4 - 21*m/2 - 2. (m - 4)*(m + 1)*(9*m + 2)/4 Find f, given that -3*f**4 - 24*f**3 - 18*f**2 + 24*f + 21 = 0. -7, -1, 1 Determine b, given that 36*b**5 - 69*b**4 - 75*b**3/2 + 111*b**2/2 + 15*b = 0. -5/6, -1/4, 0, 1, 2 Factor t**4/2 - 45*t**3. t**3*(t - 90)/2 Factor 2*b**3/3 - 2*b - 4/3. 2*(b - 2)*(b + 1)**2/3 Find v, given that -4*v**4 + 852*v**3 + 12*v**2 - 2564*v + 1704 = 0. -2, 1, 213 Determine u so that 2*u**4/9 - 34*u**3/9 + 62*u**2/9 - 10*u/3 = 0. 0, 1, 15 Suppose m**3/2 - 13*m**2 - 149*m/2 - 93 = 0. What is m? -3, -2, 31 Factor -x**2 + 71*x + 72. -(x - 72)*(x + 1) Factor 2*q**3 + 6*q**2 - 8*q. 2*q*(q - 1)*(q + 4) Factor -2*s**4/3 - 98*s**3/3 - 188*s**2/3. -2*s**2*(s + 2)*(s + 47)/3 Determine j, given that 3*j**2/2 + 14*j + 9/2 = 0. -9, -1/3 Suppose 3*k**2/4 - 57*k/4 = 0. What is k? 0, 19 Factor 3*h**4 + 3*h**3 - 36*h**2 - 84*h - 48. 3*(h - 4)*(h + 1)*(h + 2)**2 Find d such that 36*d**3 - 1072*d**2 + 7860*d + 1800 = 0. -2/9, 15 What is g in g**5/2 - g**4/2 - 17*g**3/2 - 19*g**2/2 + 8*g + 10 = 0? -2, -1, 1, 5 Factor 3*o**2 - 9*o - 30. 3*(o - 5)*(o + 2) Solve n**2/2 - 105*n - 648 = 0. -6, 216 Let 7*l**4 - 52*l**3 - 49*l**2 + 142*l - 48 = 0. What is l? -2, 3/7, 1, 8 Factor -4*o**3 - 80*o**2 + 172*o - 88. -4*(o - 1)**2*(o + 22) Suppose 2*u**3/3 - 4*u**2 - 62*u/3 + 24 = 0. What is u? -4, 1, 9 Factor c**3 + 412*c**2 - 827*c + 414. (c - 1)**2*(c + 414) Solve 4*p**3 + 40*p**2 + 112*p + 96 = 0. -6, -2 Factor -2*w**2/13 - 4*w/13 - 2/13. -2*(w + 1)**2/13 Find p, given that -165*p**4/2 + 835*p**3/2 + 1130*p**2 - 70*p = 0. -2, 0, 2/33, 7 Factor -i**5/2 - 2*i**4 + 12*i**3 + 81*i**2 + 297*i/2 + 81. -(i - 6)*(i + 1)*(i + 3)**3/2 Solve -3*c**5/7 + 9*c**4/7 - 9*c**3/7 + 3*c**2/7 = 0. 0, 1 Find a, given that a**2 - 10*a - 24 = 0. -2, 12 Solve 2*v**4/5 = 0. 0 Solve -u**2/2 + 239*u/2 - 237 = 0 for u. 2, 237 Factor l**4/4 - 5*l**3/4 - 7*l**2/4 + 5*l/4 + 3/2. (l - 6)*(l - 1)*(l + 1)**2/4 Factor 2*o**3/13 + 536*o**2/13 - 542*o/13 - 1076/13. 2*(o - 2)*(o + 1)*(o + 269)/13 Determine i so that -23*i**4/3 + 320*i**3/3 + 28*i**2/3 = 0. -2/23, 0, 14 What is o in -o**4/7 + 10*o**3/7 + 27*o**2/7 - 36*o/7 = 0? -3, 0, 1, 12 Factor 3*h**3/8 + 3*h**2/4 - 9*h/8. 3*h*(h - 1)*(h + 3)/8 Let -i**2/3 - 51*i + 628/3 = 0. What is i? -157, 4 Solve 5*a**4 - 50*a**3 + 105*a**2 + 200*a - 500 = 0. -2, 2, 5 Suppose -m**4/8 - 11*m**3/4 + 105*m**2/2 - 637*m/4 - 1715/8 = 0. What is m? -35, -1, 7 Solve y**2/8 + 33*y/8 = 0 for y. -33, 0 Find x such that 28*x**5 - 456*x**4 - 68*x**3 + 3360*x**2 - 3632*x + 768 = 0. -3, 2/7, 1, 2, 16 Factor 5*b**3 + 810*b**2 + 31980*b - 67240. 5*(b - 2)*(b + 82)**2 Let -6*u**2/17 - 4*u/17 + 2/17 = 0. Calculate u. -1, 1/3 Suppose -4*o**5/5 + 28*o**4/5 + 52*o**3 + 628*o**2/5 + 608*o/5 + 208/5 = 0. Calculate o. -2, -1, 13 Factor -4*u**3/5 - 736*u**2/5 - 6332*u/5 - 1120. -4*(u + 1)*(u + 8)*(u + 175)/5 Let 2*h**2/5 - 26*h/5 - 36 = 0. Calculate h. -5, 18 Find j s
{ "pile_set_name": "DM Mathematics" }
8*m**3 Collect the terms in 793 - 41077*f**2 - 793. -41077*f**2 Collect the terms in -2249*m + 6 + 0 + 8 + 6 + 1143*m + 1112*m. 6*m + 20 Collect the terms in -4782*j**3 + 1319*j**3 + 696*j**3. -2767*j**3 Collect the terms in -228650*x + 76188*x + 3 + 76220*x + 76183*x. -59*x + 3 Collect the terms in 9 + 733641*r - 11 + 185394*r. 919035*r - 2 Collect the terms in 5*w - 5*w - 15 + 9 + 2*w**3 + 27 + 3 - 7. 2*w**3 + 17 Collect the terms in 8*c**2 - 14*c**2 + 3*c**2 - 1483. -3*c**2 - 1483 Collect the terms in 31*h**3 - 1153944 + 1153944 - 403*h**3 - 7*h**3. -379*h**3 Collect the terms in f - 192444856511*f**3 - f + 192444856512*f**3. f**3 Collect the terms in 3*y - 31*y - 29*y + 38 + 359. -57*y + 397 Collect the terms in -s + 254*s**3 + 17*s - 339*s**2 - 16*s - 260*s**3 + 355*s**2. -6*s**3 + 16*s**2 Collect the terms in 45*i**3 - 10640 + 21184 - 10596. 45*i**3 - 52 Collect the terms in 3353*w**3 - 123*w + 360*w - 1701*w**3 - 1654*w**3. -2*w**3 + 237*w Collect the terms in 7626 + 25514 - 41*m**2 - 6914. -41*m**2 + 26226 Collect the terms in -2021*t**2 + 1981*t**2 + 11539*t + 9682*t. -40*t**2 + 21221*t Collect the terms in 1255256 - 627630 - 627626 - 4*g + 3*g**2. 3*g**2 - 4*g Collect the terms in 6*g**2 + 103099*g**3 + 77*g - 51549*g**3 - 51552*g**3. -2*g**3 + 6*g**2 + 77*g Collect the terms in 2170*u + 31251*u - 753 + 753. 33421*u Collect the terms in -107 + 6472*j - 6759*j + 107. -287*j Collect the terms in 244*o**3 + 4691919*o**2 - 4691917*o**2 - 60*o**3. 184*o**3 + 2*o**2 Collect the terms in -1612*y - 1600*y + 8016*y - 1597*y - 1618*y + 1 - 1610*y. -21*y + 1 Collect the terms in 238079*d - 238079*d + 58*d**2. 58*d**2 Collect the terms in -71141*r - 71098*r + 213337*r + 0*r**3 - 16*r**3 - 71098*r. -16*r**3 Collect the terms in 109*r**2 - 482*r**2 + 159*r**2 + 105*r**2 + 114*r**2. 5*r**2 Collect the terms in 25*g + 26*g - 182*g + 31*g + 25*g + 50*g + 26*g. g Collect the terms in -8*r**2 - 33*r**2 + 20*r**2 + 75*r**2 + 229*r**3. 229*r**3 + 54*r**2 Collect the terms in -479*x + 0*x**2 + 1 + 5*x**2 - x**2 - 2*x**2. 2*x**2 - 479*x + 1 Collect the terms in -6*z**3 - 234 - 6*z**3 + 48*z**3 - 40*z**3. -4*z**3 - 234 Collect the terms in 3600 + 234*o**3 + 233*o**3 - 661*o**2 + 661*o**2 - 3600. 467*o**3 Collect the terms in -86330*m - 18 + 121 - 103. -86330*m Collect the terms in 374*n**3 - 635*n**3 - 829*n**3 - 551*n**3 - 181*n**3. -1822*n**3 Collect the terms in 12*r**3 + 97*r - 5*r**2 + 355 - 13*r**3 - 397. -r**3 - 5*r**2 + 97*r - 42 Collect the terms in 3*y - 43 - 289*y + 12*y + 11 + 32. -274*y Collect the terms in -966*t**2 - 51 - 86 + 223 - 86. -966*t**2 Collect the terms in -z - 335*z**2 + 822*z**2 - 343*z**2 - 122*z**2 + z. 22*z**2 Collect the terms in 133481*b**3 + 133487*b**3 + 34*b**2 - 266970*b**3. -2*b**3 + 34*b**2 Collect the terms in -908*y + 4527*y - 907*y - 914*y - 3 - 907*y + 2 - 908*y. -17*y - 1 Collect the terms in -3578*p**3 + 3*p**2 - 3*p**2 - 2325*p**3 + 5890*p**3. -13*p**3 Collect the terms in -6196 + 97*k + 6198 - 686*k. -589*k + 2 Collect the terms in -2*i - 367 + 436 - 808 - 4*i - 1508. -6*i - 2247 Collect the terms in 159 - 42 - 37 - 46 - 40 + 3*r. 3*r - 6 Collect the terms in 14*g**2 - 16*g - 10*g + 82*g - 30*g - 10*g - 16*g. 14*g**2 Collect the terms in -122*d**3 - 69303*d + 69303*d - 2 + 6*d**3 + 2. -116*d**3 Collect the terms in 21730*l + l**3 + 7*l**2 - 40 - 21730*l. l**3 + 7*l**2 - 40 Collect the terms in 5 - 4*l**3 + 6 + 8 - 29 - l**2. -4*l**3 - l**2 - 10 Collect the terms in -456081*a + 912159*a - 456078*a - 26256*a**3 + 26299*a**3. 43*a**3 Collect the terms in -32819*f**2 + 1835629 - 1835629. -32819*f**2 Collect the terms in 6*s**2 - 6*s**2 - 16 - 4 - 7*s**2 + 8*s. -7*s**2 + 8*s - 20 Collect the terms in -17 + 15840*b + 22 - 15874*b. -34*b + 5 Collect the terms in 339992 - 9*m - 679977 + 339984. -9*m - 1 Collect the terms in -722 - 701 - 758 + 3618 - 717 - 24*f - 720 + 28*f. 4*f Collect the terms in -34*v**2 - 75*v**2 + 37*v**2 + 64*v - 27*v - 39*v. -72*v**2 - 2*v Collect the terms in -629*c**3 + 88*c**3 - 3630*c**3. -4171*c**3 Collect the terms in 891*x + 186*x + 5*x**2 - 7*x**2 - 292*x. -2*x**2 + 785*x Collect the terms in 642093*b - 1284219*b + 642101*b. -25*b Collect the terms in 8 + 71*c**2 - 8 - 6903*c**3 + 6907*c**3 - 71*c**2. 4*c**3 Collect the terms in 174*i**2 + 98*i**2 - 377 - 153*i**2 + 383. 119*i**2 + 6 Collect the terms in 205 - 526*v**3 - 4*v**2 + 7*v**2 - 3*v**2 + 1070*v**3 - 546*v**3. -2*v**3 + 205 Collect the terms in 4 + 3863*u + 113*u - 3500*u. 476*u + 4 Collect the terms in 2307*h + 2316*h + 2321*h + 2285*h - 11552*h + 2305*h. -18*h Collect the terms in 3689 + 3692 - 10*q - 11064 + 3681 - 20*q. -30*q - 2 Collect the terms in -1538*y**3 + 129355*y**2 - 129355*y**2. -1538*y**3 Collect the terms in -656*l**3 + 332*l**3 + 49494 - 49494 + 320*l**3. -4*l**3 Collect the terms in -5684*s + 655*s + 1791*s + 43*s - 7039*s. -10234*s Collect the terms in -165*x**3 - 235*x**3 + 724*x**3 - 161*x**3 - 165*x**3. -2*x**3 Collect the terms in 137 + 7*u + 788 - 21. 7*u + 904 Collect the terms in -25776*r**3 - 227295*r**3 + 18828*r**3 - 393584*r**3. -627827*r**3 Collect the terms in 214*x**3 - 1 + 347*x**2 + 9668*x**3 - 1301*x**3 - 347*x**2 + 2. 8581*x**3 + 1 Collect the terms in -1055*c**2 - 1052*c**2 + 1147*c**2 - 727*c**2 - 1487*c**2. -3174*c**2 Collect the terms in 49*g**2 - 343*g**2 - 17424*g + 843 + 17424*g - 843. -294*g**2 Collect the terms in -5*h - 31 - 304*h**2 + 302*h**2 + 31. -2*h**2 - 5*h Collect the terms in -66*v - 16729*v**3 - 58207*v**3 + 66*v. -74936*v**3 Collect the terms in 27747*a**3 + 14327*a**3 + a - a. 42074*a**3 Collect the terms in -4*n**3 - 7973*n - 7959*n + 87*n**2 - 135*n**2 + 15932*n. -4*n**3 - 48*n**2 Collect the terms in -78*n**2 + 167*n**2 - 2190*n**3 - 290*n**3 - 89*n**2. -2480*n**3 Collect the terms in 6 - 13*o**2 + 99*o**3 - 47*o**3 - 73*o**3 + 113*o**2 - 3. -21*o**3 + 100*o**2 + 3 Collect the terms in 361671*j**3 - 6*j**2 - 361672*j**3 + 615*j + 3*j**2 + 3*j**2 - 615*j. -j**3 Collect the terms in -8048009*z - 8048009*z + 2217*z**2 + 16096018*z. 2217*z**2 Collect the terms in -588*w**2 - 3*w + 1085*w**2 - 525*w**2 + 3*w. -28*w**2 Collect the terms in -8*d - 43571 + 21655 + 21916. -8*d Collect the terms in 51890*u**3 - 9*u**2 - 155682*u**3 + 9*u**2 + 51899*u**3 + 51896*u**3. 3*u**3 Collect the terms in -4726*u**3 + 57*u + 31*u - 88*u. -4726*u**3 Collect the terms in 502 - 7*g**3 + 19*g**2 - 1809 - 13*g**2. -7*g**3 + 6*g**2 - 1307 Collect the terms in -44966*c**2 + 89891*c**2 - 44942*c**2. -17*c**2 Collect the terms in -286*r - 144*r - 97*r - 68*r + 120*r - 604*r. -1079*r Collect the terms in 2412891*k + 2412724*k - 4825610*k. 5*k Collect the terms in 45*x + 167*x - 385 + 89*x. 301*x - 385 Collect the terms in -211571 + 105783 + 105788 - 248*l. -248*l Collect the terms in 882*i - 1697*i + 651*i. -164*i Collect the terms in -2*x + 1610*x**3 + 1240*x**3 + 2*x + 634*x**3. 3484*x**3 Collect the terms in -21857*r**3 - 23973*r**3 - 4157*r**3. -49987*r**3 Collect the terms in 81*b - 45*b - 1440*b**2 - 36*b - 25*b**2. -1465*b**2 Collect the terms in -79*h + 79*h + 80205*h**3. 80205*h**3 Collect the terms in 2043*j**3 - 4427*j**3 - 12435*j**3 - 15. -14819*j**3 - 15 Collect the terms in -4 + 4 - 579*b + 597*b - 4 + 397*b. 415*b - 4 Collect the terms in -680*z + 2649*z + 4082*z + 770*z. 6821*z Collect the terms in 550 + 11*x**2 + 643 - 1192 - 22*x. 11*x**2 - 22*x + 1 Collect the terms in 5891*c + 10786*c + 3898*c. 20575*c Collect the terms in -3156*n**2 + 971*n**2 + 1214*n**2 + 995*n**2. 24*n**2 Collect the terms in 638*m + 184*m - 147*m + 1160*m + 30*m. 1865*m Collect the terms in 9837*w - 157*w + 10768*w + 40865*w. 61313*w Collect the terms in -4960*n + 30*n**2 - 9480*n + 6162*n - 33*n**2 - 4491*n. -3*n**2 - 12769*n Collect the terms in 41*z**3 - 73*z**3 - 3716*z**2 + 35*z**3 - 2*z. 3*z**3 - 3716*z**2 - 2*z Collect the terms in 71 + 0*j + 325*j - 6*j**3 + 4*j**3 - 6*j**2. -2*j**3 - 6*j**2 + 325*j + 71 Collect the terms in -40*x**2 - 248776 + 248776. -40*x**2 Collect the terms in 185*r**3 + 322*r**3 + 163*r**3 + 43*r**2 - 43*r**2. 670*r**3 Collect the terms in -150*g**3 - 51*g + 500 - 424 - 76. -150*g**3 - 51*g Collect the terms in 2176*c**3 + 1365*c**3 + 2853*c**3 - 2070*c**3. 4324*c**3 Co
{ "pile_set_name": "DM Mathematics" }
-2). Let b = h + -80. Suppose 4*k - 655 = i, -b*k - i = -5*i - 501. Is k prime? True Let w(l) = -l - 9*l + 8*l + 13*l**2. Let h be w(-1). Suppose -5528 + 1103 = -h*u. Is u composite? True Is (-75)/90*-2 - (-101216)/6 composite? False Let w(u) = 3*u**2 + 87*u - 11. Let g be w(-29). Let m(r) = -7*r - 2 - 11 + r**2 + 6. Is m(g) prime? True Let w = 146 - 144. Is w/(8/1780) + 4 a prime number? True Let b be ((-109298)/4)/((11/(-2))/11). Suppose -b = -3*y - 4*y. Is y a prime number? False Suppose 3*t + 14 = 4*u, 5 = u - 0. Suppose -5*g - t*j + 0*j = 18, 4*j = 3*g + 16. Is (-2)/6*(g + -5699) prime? True Let p(o) = 26292*o**3 - 8*o**2 - 8*o + 17. Is p(2) composite? True Let c = -61053 + 98050. Is c a composite number? False Let y(z) be the third derivative of 13*z**6/72 - z**5/40 + z**4/3 - 10*z**2. Let n(f) be the second derivative of y(f). Is n(1) a composite number? False Let l = -77 - -79. Suppose -s + 2940 = o, -6*o - 5882 = -l*s - 10*o. Is s a prime number? True Let t(l) = 35*l - 9. Suppose -5*b - 305 = -5*w - 30, 2*b - 110 = -2*w. Suppose -g = -w + 29. Is t(g) a prime number? False Let k be (-1 + -3)/((-5)/((-60)/(-16))). Suppose 50*g - k*g - 384695 = 0. Is g composite? True Suppose 2*m = 2*i + 2975672, -4*i - 1487845 = 14*m - 15*m. Is m a prime number? False Let i(y) = 17132*y - 2307. Is i(7) composite? False Let i(b) = -2*b**2 + b + 2. Let g be i(-1). Let h be 8 + 0 + (-2 - g). Is (h/(-2) - -3)*(-2784 - 2) composite? True Let x = -16110 - -24629. Suppose 21824 + x = 19*p. Is p prime? True Let q = -3631 + 7231. Suppose 188 - q = -4*x. Is x a composite number? False Let d(f) = 8*f - 86. Let w be d(12). Suppose 4*m - 843 = -w*i + 9*i, 4*m - 846 = 2*i. Is m a composite number? False Suppose 4*u - 2*x = -3*x - 4, 2*x + 8 = -4*u. Suppose p = 4*b - 54596, u = -0*b + 5*b + 4*p - 68245. Is b a composite number? False Is 11*((-3526648)/(-48) + (-80)/96) a prime number? False Let g(t) = -t**3 - 3*t**2 + 12*t + 12. Let q be g(-5). Suppose -5*c = -4*a + 1517, -616 = -0*c + q*c + 3*a. Let z = 471 + c. Is z a composite number? True Suppose 3*p + 4*u + 12 = 0, -2*p + 4*u + 0 + 12 = 0. Suppose -4*y + w + 23425 + 2262 = p, 25699 = 4*y - 5*w. Is y a composite number? False Let x = -2280 - -3972. Let m = x + -353. Is m prime? False Let t = 124828 - 57489. Is t composite? False Let m = 33240 + -18257. Is m composite? False Let d be (0 - (-4762)/6)*(5 + -2). Let m be 1/(d/(-5965) - 8/(-20)). Suppose -2*a + 917 = -m. Is a prime? False Let q(f) = f**3 - 10*f**2 + 27*f + 20. Let t be q(28). Let i = -8091 + t. Is i a composite number? True Let m(s) = s**2 + 2*s - 3918. Let a be m(0). Let t = 5611 + a. Is t a composite number? False Let q(o) be the second derivative of -5*o**3/6 + 27*o**2/2 + 16*o. Let j be q(6). Is (0 - -3)/3 + (-378)/j a composite number? False Let f(t) = 340*t**2 + t + 3. Suppose -4*r = 4*g + 16, -2*r + 4 = 4*g + 10. Suppose -2*j + j + g = -3*k, j - 3 = 4*k. Is f(k) a prime number? True Let z(m) = -m**3 + 40*m**2 + 20*m - 73. Let c be (27 - -1) + -2 + (-54 - -58). Is z(c) a composite number? True Let j = 6888 + -1973. Let x = -1806 + j. Is x prime? True Suppose 14*o - 99945 = -r + 13*o, 6*o + 99973 = r. Is r prime? False Let k(q) = 5441*q - 45. Let y be k(-9). Is (-15)/3 - y/7 prime? True Suppose -92*a + 1360373 + 1552104 = -2661711. Is a a composite number? False Suppose -166*q = -228*q + 2059082. Is q composite? False Suppose 7*j + 320 = -3*j. Let s be (-2 - (-32)/20) + j/(-5). Is (3/(-9))/(s/(-5238)) a prime number? False Is 1/3*((163992 - -7) + 50) prime? False Let v = -8241 - -13943. Suppose -8582 = -2*f + v. Is f prime? False Let a = 50 + -279. Let j = 7640 + a. Is j composite? False Let j(b) = 1 + 1675*b**2 - 1548*b**2 - 4*b + 3. Is j(3) prime? False Let v be (-40)/10 + (6 - -319). Suppose 36751 = -v*k + 334*k. Is k composite? True Let i(t) = 7304*t - 1275. Is i(7) a composite number? False Let g(s) = -437*s - 21. Suppose 5*b = 3*r + 29, 0 = -2*r + b - 11 + 1. Let o be g(r). Suppose 0*c + 6 = 3*c, 4*p - c = o. Is p composite? True Let b = 14226 - 8795. Is b composite? False Suppose -2*u - 16 = 3*y + y, -4*u - 5*y = 38. Is 1536 - (-7 + 6) - u/3 a composite number? True Is -1119169*((-46)/8 - (-261)/348) a prime number? False Let t(h) = -8416*h**3 - 12*h**2 - 20*h + 1. Is t(-2) prime? False Let c = -43 - -28. Let b = -9 - c. Suppose -b*v - 890 = -8*v. Is v composite? True Suppose -a - 3*o + 4 = 0, -9 - 7 = -4*a + 2*o. Suppose -30 = -3*w - c - a, 1 = -c. Let r = w - -2. Is r a composite number? False Suppose 0 = 18*c - 19*c + 33*c - 3136576. Is c a prime number? False Let c be 2/8*2*12. Let g(k) = 59*k**2 - 11*k + 12. Let q(l) = -9*l**2 + 2*l - 1. Let t(v) = g(v) + 4*q(v). Is t(c) composite? True Let i = 2178 - -4138. Suppose l - i = 2903. Suppose l = -0*m + 7*m. Is m a prime number? False Let l(q) = 2*q**2 - 25*q - 88. Let p be l(-21). Let c = 2362 - p. Is c a prime number? False Let g(p) = -p - 2. Let a(k) = -626*k + 15. Let r(d) = a(d) + 6*g(d). Let c be r(-2). Let v = c + -746. Is v composite? False Suppose -43501 = -7*h + 129622 + 121794. Is h a prime number? True Let m(c) = -c**2 + 7*c + 4. Let l be m(7). Suppose -8*t + l*t = -252. Let r = 166 - t. Is r composite? False Let p(g) = 304*g**2 - 68*g + 1250. Is p(21) prime? False Suppose 10*u + 119*u = 2608861 + 2618477. Is u a prime number? False Suppose 3008276 = 6*s + 2*p, 0 = -s + p + 422035 + 79343. Is s prime? False Let p(g) = 328967*g + 569. Is p(6) a composite number? True Let y(k) = k**3 + 10*k**2 - 12*k - 7. Let i be 7/(245/14) - (-1416)/10. Let s = 132 - i. Is y(s) prime? True Let p(t) = 6*t - 25. Let a be p(5). Suppose 2*m = a*y - 14475, -3*y + 3*m = 4*m - 8696. Is y composite? False Suppose 68 - 50 = 6*v. Is v*(49735/21 - -2) prime? False Suppose 0 = -5*a - u - 4*u + 575, u - 4 = 0. Suppose -99 = -2*z + a. Let j = -52 + z. Is j a prime number? True Let r(q) be the second derivative of 31*q**3/3 + 9*q**2/2 - 7*q. Let p be (-10)/20 - 15/(-2). Is r(p) composite? False Suppose 0 = -31*s + 26*s + 5*f + 550280, 5*s = -3*f + 550304. Is s a prime number? True Suppose 2 = 2*u + 2. Suppose 4*a - 5 = -3*z - 1, -5*z + 5*a - 5 = u. Is 1 + -18*(z - 13) prime? False Suppose -5*t + 240 = 5*c, 2*c = -3*t - 3*c + 144. Suppose -t*q - 217 = -47*q. Let i = -71 - q. Is i a prime number? False Suppose -2*g = -2*z - 2*z - 23320, -g - 5836 = z. Let q = -3395 - z. Is q a prime number? True Suppose 3*z = -3*a + 76641, 0*z = 4*a - 4*z - 102212. Suppose -3*j - a = -10*j. Suppose -2*b - 2*g = 2*b - j, -2*b + 2*g + 1828 = 0. Is b a prime number? False Let r(d) = -198*d - 14. Let s be r(-2). Let w = -75 + s. Is w a prime number? True Let t(h) = -6*h - 2. Let d be -1*4/2*(-5 + 4). Suppose -4*s + 2*g = 34, g + 15 = -4*s + d*s. Is t(s) composite? True Let r(g) = -137*g**3 + g**2 - 2*g - 2. Let j be r(3). Let h = 7069 + j. Is h a composite number? False Let m(h) = -172*h + 9. Let f = 23 + -39. Let j be (2 + f)*(-8)/(-16). Is m(j) composite? False Let y(v) be the second derivative of 14*v**4/3 - v**3/2 + 3*v**2/2 - 18*v. Suppose 0 = -3*n - b - 15, -4*n - 4 = 2*b - 6*b. Is y(n) a composite number? False Let z(q) = 379*q**2 - 122*q - 364. Is z(-27) composite? False Let h(b) = -67416*b - 1259. Is h(-4) a prime number? False Let r(w) = 3*w**2 - 103*w + 117. Is r(53) composite? True Suppose z + 3*p - 381 = 0, -6*p + 2*p - 8 = 0. Suppose 9*x - 995 = 4*x. Let w = z + x. Is w composite? True Suppose 0 = -h + 3*f - 6*f + 225, -5*h - 5*f + 1155 = 0. Let t(i) = -h*i - 3 - 1 - 300*i - 1. Is t(-3) a prime number? True Suppose 34*x - 1017883 + 309561 = 0. Is x a composite number? True Suppose -159*v + 72554499 = 6337518. Is v composite? False Let o = -621 - -1616. Suppose -m + 6*x = 5*x - o, 2993 = 3*m + x. Is m a composite number? False Is 819/(-39) + (-2627936)/(-2) prime? False Suppose 5306 = 2*o - 2*w, -3*o = 3*w - 4*w - 7953. Let b = 4121 - o. Is b a composite number? False Let a be (9/6)/((-3)/2 + 2). Suppose -21541 = -10*o - a*o. Is o prime? True Let p(f) = f + 4. Let q be p(-25). Let o = 21 + q. Suppose 5*t = -o*t + 5605. Is t composite? True Let l(v) = v**2 - v - 42. Let x be l(7). Suppose x = -21*j + 61308 + 824703. Is j composite? True Suppose 0 = -23*v - 43*v + 9591093 + 1525485. Is v composite? False Let l(r) = 4
{ "pile_set_name": "DM Mathematics" }
-1). Let k be 18/10 + (230/25 - 9). Let a(m) = -29*m**2 - 28*m**2 - 16*m**k + 58*m**2. Determine a(u). -15 Let a(x) be the second derivative of -x**5/20 + x**4/2 - 7*x**3/6 + x**2/2 + 42*x - 18. Give a(5). -9 Suppose -4*a + 0*a + 164 = -3*h, -3*a + h + 118 = 0. Suppose 5*w - a = 3*t, -3*w = 3*t - 0*w + 30. Let u(p) = -p**3 - 11*p**2 - 5. Calculate u(t). -5 Let o(k) be the first derivative of k**4/4 + 13*k**3/3 + k**2/2 + 31*k + 8994. Calculate o(-13). 18 Let q(g) = -6*g + g**3 + 806 + 9*g**2 - 803 - 11*g**2. Let o(b) = 8 - 2 + 0*b - b - 2. Let j be o(0). Determine q(j). 11 Let m(x) = -19*x**2 - 118*x - 235. Let w(u) = -14*u**2 - 88*u - 177. Let h(n) = 8*m(n) - 11*w(n). Determine h(-3). 13 Let m(o) = 6*o**2 + 23*o - 5. Let l(u) = -4*u + u + 8 + 4*u**2 - 8*u**2 - 7 + 3*u**2. Let v(p) = 5*l(p) + m(p). What is v(-6)? -12 Let q(x) = -2*x**3 + 2*x - 1. Let a(m) = 4*m**3 - 3*m + 2. Let t(l) = 3*a(l) + 5*q(l). Let h be (-1 - (-8 + 4 + 2))/(-1). Calculate t(h). -2 Let h(a) be the second derivative of -a**4/6 + 19*a**3/6 + a**2/2 + 233*a - 2. Determine h(9). 10 Let p(x) = 3*x**2 - 4*x - 1. Let m = -600 - -593. Let b be (112/m)/4 + 7. Calculate p(b). 14 Let b(z) = 32*z - 3. Suppose -21 = 175*n + 56 + 98. Calculate b(n). -35 Let o(g) = -50*g - 37. Let u(j) = -55*j - 46. Let f(s) = 5*o(s) - 4*u(s). Calculate f(1). -31 Let b = -4511 + 4505. Let d(y) = -y**3 - 6*y**2 - 2*y + 10. Determine d(b). 22 Let p(d) be the third derivative of -d**4/24 + 7*d**3/6 + d**2. Let m be -5 - 10/((-80)/408). Suppose 5*u = h - 1, -4*h + 51*u = m*u - 19. Give p(h). 1 Suppose -12*m + 14 + 10 = 0. Let i(c) = -7*c**2 - 9*c - 5. Let n(l) = -3*l**2 - 4*l - 2. Let p(x) = m*i(x) - 5*n(x). Calculate p(-2). 0 Let r(t) = -t**3 + 3*t**2 + 3*t + 1. Let f(s) = 3*s**2 - 76*s - 59. Let l be f(27). Suppose -8 = -5*h + 2, 4*a + 284 = -2*h. Let d = a + l. Calculate r(d). -3 Let w(y) = -1 + y + 7 - 3. Let o be w(-8). Let n(l) be the first derivative of l**4/4 + l**3 - 7*l**2/2 - l - 55. Give n(o). -16 Let t(w) = w**3 + 2*w**2 - 2*w - 1. Let k be t(-3). Let d(c) = -2*c**2 + 3*c - 5. Let u(v) = -3*v**2 + 2*v - 4. Let i(p) = k*u(p) + 3*d(p). Give i(-1). 6 Let w(b) = -b + 9. Let n be 104/8 + 0 + -9 + 4 + -1. What is w(n)? 2 Let h(c) = 6*c - 42. Let t = -2606 - -2615. Give h(t). 12 Let o(b) = -b**3 - b**2 - 3*b - 4. Let r(h) = h**3 - 6*h**2 - 28*h + 144. Let m be r(7). Determine o(m). 23 Let o(s) = -s**3 - s**2 + 20*s + 1. Suppose -153*c + 288*c - 142*c + 28 = 0. Calculate o(c). 1 Let j(g) be the second derivative of -g**3/2 + 10*g**2 + 448*g. What is j(16)? -28 Suppose -51 = -48*u + 45*u. Let r(i) = 24*i + 0*i**2 - i**2 - u*i + 4 + 2*i**2. What is r(-5)? -6 Suppose -3*g = 3*f - 21, g + 4 = 3*g - 3*f. Suppose 18 = g*j - 14*j. Let m(u) = u**2 - u - 2. Determine m(j). 4 Let o(i) be the first derivative of -3*i**2/2 + 25*i - 50422. Suppose 4*x + 0*x - 44 = 0. Calculate o(x). -8 Let p(l) = l**3 - 9*l**2 + l - 13. Let m(d) = 3*d**3 - 11*d + 12. Let j be m(3). Suppose j*u + 45 = 65*u. Determine p(u). -4 Let l = -1083 - -1598. Let g = l + -511. Let t(m) = -2*m + 2. What is t(g)? -6 Let r(n) = -2*n**3 - 7*n + 1 - 7*n**2 + n**3 + 0*n. Let k = -17995 + 17989. Give r(k). 7 Let y(z) be the second derivative of z**5/20 - z**4/12 - z**3/6 + 5*z**2/2 - 271*z. Determine y(-3). -28 Let p(u) = -2*u**2 + u - 12. Let t(x) be the first derivative of -x**3 + x**2 - 23*x + 136. Let s(c) = -5*p(c) + 3*t(c). Determine s(0). -9 Let w = 580 + -1133. Let s be -1*1 - -3*w/21. Let f = s - -80. Let c(j) = -j**3 + j**2 - j - 1. Give c(f). -1 Let x(a) = 213*a + 47 + 209*a + 0 - 420*a - a**2. Calculate x(8). -1 Let n(y) = y - 4*y + 5*y + 4*y. Suppose 4*k - 579 = -507. Suppose -5*p = p + k. Calculate n(p). -18 Let p(f) = f + 69. Let h(v) = 2*v + 124. Let s(d) = -3*h(d) + 5*p(d). Give s(9). -36 Let v be (0 - ((-15)/20 + 1))*-8. Let m(q) = 44 - 5*q**v + 3*q**2 - 6*q - 39. What is m(-5)? -15 Let c(v) = -40*v**2 - 43*v**2 + 13*v - 3 - 8*v**3 - 38*v**2 + 131*v**2. Let k(d) = 7*d**3 - 9*d**2 - 11*d + 3. Let m(i) = -5*c(i) - 6*k(i). What is m(3)? -18 Let o(p) = 118*p + 3365. Let i(n) = 283*n + 8069. Let s(k) = 12*i(k) - 29*o(k). Determine s(-29). -3 Let a(g) = 6*g**2 - 2*g + 4*g**2 - 16*g**2 + 4*g**2 + 20 - 14 - 4*g. Let m be 1/(2/(-10) - 0). Give a(m). -14 Let w(g) = 3*g + 6. Let k(d) = -d**3 - 8*d**2 + 6*d - 33. Let u = -189 - -180. Let r be k(u). Give w(r). -12 Let b(h) = h**3 - 16*h**2 + 13*h + 37. Let x = -1902 - -1917. Determine b(x). 7 Let y(m) be the third derivative of 0*m**3 + m + 1/6*m**4 + 16*m**2 + 0. What is y(4)? 16 Let r(b) = -70*b + 133. Let o be r(2). Let a be ((-4)/(-5))/((-2)/(-10)). Let k(y) = -4*y + 2*y + 5 + 3 + a*y. Give k(o). -6 Let p(q) = 2*q**3 + 2*q**2 - 1. Let d(m) = -7*m**3 - 3*m**2 + m - 7. Let y(f) = d(f) + 4*p(f). Let h be y(-4). Let u(i) = 4*i**3 - 2*i**2 + i. Calculate u(h). 3 Let j(x) = x**2 + 14. Let l(c) = 4*c - 6 - 15 - c. Let q be (-7*(-3)/(-4))/(4*45/(-240)). Let d be l(q). Give j(d). 14 Let d be 48/(-56)*14/(-4). Let h(t) = -t - 1. Let z(v) = -2*v - 2. Let m(o) = d*z(o) - 5*h(o). Suppose 2*q + 3 + 0 = -3*c, 0 = 2*q + 2*c + 4. Calculate m(q). 2 Let k(s) = s + 21. Suppose 3*l = -248 + 257. Suppose l*d - 51 + 116 = -4*q, d - 2*q = -5. Determine k(d). 6 Let p(c) = -4*c - 4456 + 8*c + 4466. Determine p(-6). -14 Suppose 90 = -2*w - 5*w + 244. Let a(y) = y - 33. Calculate a(w). -11 Let g(z) = 15429*z - 15 - 29 - 7698*z - 7715*z. Give g(3). 4 Let a = 6502 - 6491. Let i(h) = h - 12. Let m(w) = w - 11. Let u(t) = 4*i(t) - 5*m(t). Give u(a). -4 Suppose 5*u - 17 = -697. Let q = u + 142. Let s(b) = 1 + q*b**2 + 33*b - 19*b - 15*b. Give s(1). 6 Suppose y = -15*l + 13*l + 9, 0 = -4*l + 3*y + 33. Let g(i) = i**2 - 2*i - 9. Determine g(l). 15 Let k(a) = -7*a + 132. Let j be k(18). Let z be 6 + (j/(-4))/(54/72). Let g(n) = n**2 - 5*n + 6. Determine g(z). 2 Let v(r) = -r**3 + 5*r**2 - 2. Suppose 55*p + 606 = 53*p + 103*p. Give v(p). -38 Let c be ((-228)/(-36))/((-2)/(-30)). Suppose -60 = -5*x - c. Let i(y) = -y**3 - 8*y**2 - 8*y + 8. Calculate i(x). 15 Let z(f) be the first derivative of 10*f**3/3 + f**2 + f + 48. Let v be (-2 - 0)/2*1. Calculate z(v). 9 Let r be ((5 + -5)/(-4))/2. Suppose -12 = -2*i - r*f - 3*f, 4*i - 20 = -4*f. Let d(v) = -7 - 4*v + 7 + v - v**i + 4*v**2. Give d(3). 0 Let l(q) = 7*q**2 + 33*q + 58. Let g(c) = 9*c**2 + 37*c + 58. Let u(p) = -3*g(p) + 4*l(p). Give u(-17). -10 Let t(x) = -x**3 - 6*x**2 - 3*x - 3. Suppose 30*b + 7*b = -9*b - 276. What is t(b)? 15 Let y(j) = j**3 - 9*j**2 + 7*j + 8. Suppose 1 - 9 = 8*m. Let a be (4/4 - 16)/m. Suppose 2*c - a = 1. Calculate y(c). 0 Let x(b) = b**3 - 5*b**2 - 6*b + 5. Let i = -70 - -59. Let h(d) = 3*d**2 + 30*d + 7. Let z be h(i). Let g be (15/z*-2)/(1/(-8)). Determine x(g). 5 Let b(s) = -14*s + 10. Let j be b(1). Let f(m) be the second derivative of m**4/12 + 7*m**3/6 + 2*m**2 - 6*m - 2. Give f(j). -8 Let n(s) be the second derivative of -1/2*s**2 + 5/6*s**3 + 0 - 3*s + 1/3*s**4 - 1/20*s**5. Suppose m = 104 - 99. Determine n(m). -1 Let j(y) = -7 + 118*y**2 + 15*y - 37*y**2 - y**3 - 35*y**2 - 41*y**2 - 6*y. Suppose -4*b = 4*r - 16, 2*r - 14 = -3*b - 0*b. Give j(b). 11 Suppose -235*i = -282*i + 94. Let m(u) = -8*u**3 + 3*u**2 - 5*u + 4. Calculate m(i). -58 Let y(v) = 14*v + 140. Let q(i) = i**3 - 4*i**2 + 7*i - 22. Let b be q(3). Let x be y(b). Let n(r) = r + 11. Give n(x). 11 Let h(n) = -404*n - 21. Let z(j) = 1809*j + 83. Let a(y) = 9*h(y) + 2*z(y). Calculate a(1). -41 Let v(n) = -n + 18. Let u be v(4). Suppose 0 = -4*m - 3*m - u. Let h(k) = k**3 + k**2 - 2*k - 3. Calculate h(m). -3 Let n(s) = 11 + 2*s + 30*s - 40*s + 2*s**2. Let h be (-330)/(-60) + 1/(-2). Determine n(h). 21 Let l(h) = h**2 - 40*h + 242. Let b(a) = 273*a + 11200. Let m be b(-41). Calculate l(m). 11 Let q(d) = -4*d - 37. Suppose 1027 = -13*r + 884. Calculate q(r). 7 Let b(t) = 2*t**3 + 3*t**2 + 18*t + 13. Let q(l) = 7*l**3 + 8*l**2 + 63*l + 38. Let d(c) = -10*b(c) + 3*q(c). Determine d(5). 4 Suppose 0 = -m - 10*t + 11*t + 219, 4*t - 678 = -3*m. Let k(l) = m - 3*l**2 + 4*l**2 - l - 226. What is k(5)? 16 Let s(c) = -155 - 45*c + 445 - 145 - 177 + 5*c**2. Let v(j) = -j**2 + 9*j + 6. Let t(d) = -2*s(d) - 11*v(d). Calculate t(10). 8 Let d(x) = 7*x - 50. Suppose 9*f + 81*f - 509 = 391. Determ
{ "pile_set_name": "DM Mathematics" }
me factors of 886786565? 5, 7, 101, 35837 What are the prime factors of 27155926? 2, 7, 97, 19997 What are the prime factors of 13843417? 7, 1977631 What are the prime factors of 79306030? 2, 5, 59, 134417 List the prime factors of 101495378. 2, 19, 2670931 List the prime factors of 322242481. 11, 47, 56663 What are the prime factors of 335432415? 3, 5, 29, 771109 List the prime factors of 1547005856. 2, 11, 4394903 List the prime factors of 49859450. 2, 5, 199, 5011 List the prime factors of 1901050452. 2, 3, 7, 359231 What are the prime factors of 515771592? 2, 3, 7, 61, 50329 What are the prime factors of 14436154? 2, 269, 26833 What are the prime factors of 81698088? 2, 3, 3404087 What are the prime factors of 35452892? 2, 1163, 7621 What are the prime factors of 136960510? 2, 5, 2203, 6217 List the prime factors of 25180990. 2, 5, 29, 31, 2801 What are the prime factors of 392866913? 392866913 What are the prime factors of 674773836? 2, 3, 11, 5111923 What are the prime factors of 561586477? 19, 1889, 15647 What are the prime factors of 9008831065? 5, 13, 138597401 What are the prime factors of 356730071? 356730071 What are the prime factors of 420759122? 2, 7, 277, 108499 List the prime factors of 171984691. 1723, 99817 List the prime factors of 531506679. 3, 11, 211, 76333 What are the prime factors of 69621? 3, 23, 1009 What are the prime factors of 3025667500? 2, 5, 59, 73, 281 What are the prime factors of 280884813? 3, 11, 251, 33911 What are the prime factors of 1946966798? 2, 7, 3011, 46187 List the prime factors of 49773496. 2, 67, 92861 What are the prime factors of 21517321? 7, 157, 2797 List the prime factors of 242140383. 3, 41, 197, 3331 What are the prime factors of 144969971? 131, 839, 1319 What are the prime factors of 6104429197? 41, 1847, 80611 What are the prime factors of 2276357681? 13, 17, 19, 542119 What are the prime factors of 86074280? 2, 5, 23, 93559 What are the prime factors of 308302015? 5, 7, 8808629 List the prime factors of 2490578818. 2, 7, 13, 13684499 List the prime factors of 315943476. 2, 3, 19, 109, 12713 List the prime factors of 4715103651. 3, 139, 839, 13477 What are the prime factors of 774866550? 2, 3, 5, 19, 23, 11821 List the prime factors of 34514689. 11, 3137699 What are the prime factors of 44992308? 2, 3, 83, 199, 227 What are the prime factors of 1535335305? 3, 5, 7, 109, 163, 823 List the prime factors of 705143460. 2, 3, 5, 7, 397, 4229 What are the prime factors of 2866619? 7, 409517 What are the prime factors of 114342076? 2, 19, 1504501 What are the prime factors of 352967697? 3, 47, 834439 What are the prime factors of 126037393? 19, 29, 59, 3877 List the prime factors of 61270680. 2, 3, 5, 510589 List the prime factors of 3446326506. 2, 3, 7, 11722199 List the prime factors of 98520549. 3, 997, 32939 List the prime factors of 8287467384. 2, 3, 7, 49330163 List the prime factors of 3060547181. 3060547181 What are the prime factors of 95209525? 5, 31, 43, 2857 What are the prime factors of 76953419? 76953419 List the prime factors of 96934136. 2, 13, 17, 109, 503 What are the prime factors of 1146348595? 5, 7, 32752817 List the prime factors of 94265151. 3, 89, 353053 List the prime factors of 1204411551. 3, 7, 149, 384919 List the prime factors of 5884128970. 2, 5, 588412897 What are the prime factors of 19607502? 2, 3, 71, 46027 List the prime factors of 1486809286. 2, 23, 2837, 11393 What are the prime factors of 1055141470? 2, 5, 3463, 30469 What are the prime factors of 65661166? 2, 79, 415577 What are the prime factors of 528718569? 3, 176239523 List the prime factors of 1297625162. 2, 47, 89, 109, 1423 List the prime factors of 46242356. 2, 29, 271, 1471 What are the prime factors of 3311985179? 61, 157, 173, 1999 What are the prime factors of 245813167? 23, 31, 344759 List the prime factors of 62903045. 5, 23, 97, 5639 What are the prime factors of 144202095? 3, 5, 109, 29399 What are the prime factors of 125520901? 11, 11410991 List the prime factors of 37849736. 2, 1019, 4643 List the prime factors of 170011247. 7, 1811, 13411 List the prime factors of 11164859. 349, 31991 What are the prime factors of 4918644856? 2, 239, 2572513 List the prime factors of 151033600. 2, 5, 23599 What are the prime factors of 2176499? 13, 167423 List the prime factors of 498598080. 2, 3, 5, 519373 What are the prime factors of 233763530? 2, 5, 7, 11, 13, 193 What are the prime factors of 6036009866? 2, 7993, 377581 List the prime factors of 75611704. 2, 7, 192887 List the prime factors of 4453161104. 2, 7, 101, 393667 List the prime factors of 102435183. 3, 17, 39383 List the prime factors of 629939424. 2, 3, 101, 64969 List the prime factors of 363027445. 5, 11, 6600499 List the prime factors of 445838603. 7, 1299821 What are the prime factors of 847252151? 223, 3799337 List the prime factors of 1956469369. 29, 67464461 What are the prime factors of 2721235778? 2, 1360617889 What are the prime factors of 216065654? 2, 7, 41, 9181 What are the prime factors of 457254571? 29, 15767399 What are the prime factors of 216942654? 2, 3, 43, 840863 List the prime factors of 111861527. 263, 425329 What are the prime factors of 1406912947? 11, 103, 953, 1303 What are the prime factors of 47484034? 2, 13, 1049, 1741 What are the prime factors of 74302831? 73, 1017847 List the prime factors of 69671483. 7, 1421867 List the prime factors of 147588086. 2, 19, 31, 125287 What are the prime factors of 48402703? 197, 277, 887 List the prime factors of 1609321705. 5, 113, 353, 8069 List the prime factors of 515037992. 2, 7, 1087, 8461 What are the prime factors of 103066037? 103066037 What are the prime factors of 254519723? 107, 431, 5519 What are the prime factors of 319291033? 319291033 What are the prime factors of 78784899? 3, 26261633 What are the prime factors of 845546288? 2, 52846643 List the prime factors of 794411. 151, 5261 List the prime factors of 657894964. 2, 164473741 What are the prime factors of 388422679? 388422679 List the prime factors of 92085804. 2, 3, 17, 53, 167 What are the prime factors of 241806557? 241806557 What are the prime factors of 5843847? 3, 193, 10093 List the prime factors of 522681899. 41, 43, 296473 List the prime factors of 1241154090. 2, 3, 5, 11, 59, 787 What are the prime factors of 1027116577? 29, 35417813 What are the prime factors of 23879274? 2, 3, 379, 10501 What are the prime factors of 903597767? 903597767 List the prime factors of 4210861230. 2, 3, 5, 46787347 What are the prime factors of 27463678? 2, 11, 1248349 List the prime factors of 5920097841. 3, 7, 137, 228637 List the prime factors of 4665756042. 2, 3, 269, 963601 What are the prime factors of 243539106? 2, 3, 37, 167, 6569 What are the prime factors of 5376735? 3, 5, 7, 13, 101 List the prime factors of 760346071. 760346071 What are the prime factors of 6484478734? 2, 23, 37, 3809917 What are the prime factors of 4414093214? 2, 17, 129826271 What are the prime factors of 219074791? 13, 67, 97, 2593 What are the prime factors of 268047033? 3, 89349011 List the prime factors of 52529558. 2, 17, 1544987 What are the prime factors of 208429533? 3, 13, 1781449 List the prime factors of 1076776012. 2, 13, 20707231 What are the prime factors of 115752581? 7, 16536083 What are the prime factors of 1617809713? 13, 124446901 What are the prime factors of 100677696? 2, 3, 7, 173, 433 What are the prime factors of 117666610? 2, 5, 83, 141767 List the prime factors of 4175895204. 2, 3, 13, 1907, 4679 List the prime factors of 905460357. 3, 2459, 122741 What are the prime factors of 12180826? 2, 7, 870059 List the prime factors of 256014213. 3, 7, 13, 31, 179 List the prime factors of 25515347. 11, 13, 19, 9391 List the prime factors of 312033487. 17, 18354911 List the prime factors of 3761335271. 269, 13982659 List the prime factors of 78783361. 103, 764887 List the prime factors of 200821356. 2, 3, 619819 What are the prime factors of 195447728? 2, 7, 43, 40583 What are the prime factors of 238243029? 3, 31, 2561753 List the prime factors of 2576251616. 2, 80507863 What are the prime factors of 225478466? 2, 3089, 36497 List the prime factors of 70732589. 70732589 What are the prime factors of 22562163
{ "pile_set_name": "DM Mathematics" }
t b(z) = 2*p(z) - 3*w(z). Let d be b(7). Let g be (336/30)/(-4) + 8/2. Which is smaller: g or d? d Suppose 2*o - 1 - 3 = 0. Suppose 0*w - 6*w = -12. Let x be (2/(-4))/(w/8). Which is smaller: x or o? x Let x = -2797 + 25141/9. Suppose 11 = c + 16. Which is greater: x or c? x Let y = 4037 - 117075/29. Let p(o) = o**2 + 5*o + 5. Let l be p(-4). Which is smaller: l or y? y Let s be (1 + (-2005)/10)*(-5 + 3). Does s = 400? False Suppose -2*v - 214 + 1834 = 0. Let p be v/(-75) - 2/10. Which is bigger: p or -10? -10 Let m be (-18)/(-3) + (-2 - -1). Let q = m - 0. Let t be (-3)/q + (-6)/15. Is -1 greater than t? False Let p be 28600/500 + 8/10. Let c = -141 + 399/2. Which is smaller: c or p? p Let p be 2 + -2 - (34 + -33). Suppose -11 = -n - 1. Let w be (n/(-16) - p)/(-3). Is 3 bigger than w? True Let t(z) = 211*z**2 + 3*z + 5. Let l be t(-1). Which is smaller: 212 or l? 212 Let v = -690 + 1414. Which is smaller: v or 725? v Let w = -0.55 + -0.15. Let t = -0.8 - w. Which is bigger: 0.1 or t? 0.1 Let j = 644.6 - 100.6. Which is smaller: j or 2/5? 2/5 Let l = -245 + 307. Which is smaller: 1/3 or l? 1/3 Let u be 4/6 + 44/(-3). Let d = -50 - -66. Let k = u + d. Is 3/5 smaller than k? True Let t(n) = -n**2 - 15*n - 17. Let f be t(-14). Let h(y) = -y**3 - 4*y**2 + 2*y + 4. Let q = 11 - 15. Let v be h(q). Which is greater: v or f? f Let o(x) = 19*x - 75. Let q be o(2). Do q and -37 have different values? False Let o = 2793 + -2762. Is o equal to 29? False Let k(b) = b**2 - 7*b - 45. Let t be k(11). Let l be ((-2)/(-4))/(2/20). Suppose l*u = -10, 2*u + 19 = 5*g - 0*g. Is t at least g? False Let l(g) = -g**2 + 11*g - 10. Let y be l(10). Suppose 2*w - w = y. Suppose -3*n = -3 - w. Are n and 1 equal? True Let z(i) = -i**3 + 7*i**2 - 15*i + 15. Let w be z(6). Which is smaller: -35 or w? w Let j(d) = 2*d**2 - 10*d + 8. Let g be j(4). Is -3/43 less than g? True Suppose 3*k - 4*m - 177 = 0, -3*k - m + 195 = m. Let i = 10 + 52. Which is smaller: k or i? i Let c = 10.05 + -10. Let d = c + -0.45. Let z = d + 0.3. Which is smaller: z or -1? -1 Let q = 155/2408 - 1/56. Let b = 1 - 0. Which is greater: b or q? b Let f be (12 - 5) + 117/(-16). Which is smaller: f or -1? -1 Let i = -148 - -95. Let s = i + 55. Is -0.6 >= s? False Let o be (4/4)/(2/(-2 + 0)). Let b be (-84)/(-40) - 4 - -2. Is o less than or equal to b? True Let y be 0 - 271/665 - 9/(-21). Which is smaller: y or -1? -1 Let c be (335/(-30))/((-10)/(-21)). Let v = c - -101/4. Suppose u - 2*u = -2. Is u <= v? False Let y = 1.1 - 0.14. Let k = y - 0.76. Is k bigger than 10? False Let i = -349381/146 + 2393. Is 2/5 less than or equal to i? False Let h = -22452/35 - -3276/5. Is 15 >= h? True Let w = 9/6512 + -9357807/45584. Let n = -203 - w. Does n = -1? False Let c be 4587/836*(-2)/36. Let j be (-2)/(-7) - 568/1596. Let s = c + j. Which is smaller: s or -1? -1 Let v(d) be the first derivative of d**4/2 - 2*d**3 + d**2/2 - 7*d + 14. Let h be v(3). Suppose 0 = b - 4*b. Which is greater: b or h? b Let m(r) = 2*r**2 - 27*r + 13. Let l be m(13). Does l = 2/1503? False Let c(m) = -m**3 - 20*m**2 - 47*m - 29. Let j be c(-17). Which is smaller: -98 or j? -98 Let t be (6/4)/(1/(-2)). Suppose -2*h + 480 = -10*h. Let g = h + 117/2. Which is smaller: g or t? t Suppose 2843 - 458 = -9*n. Is n less than -266? False Let x = -75 - -45. Let m be x/4*1/5. Is m at most -3? False Let a = 934 + -934. Which is smaller: a or 4/33? a Suppose -4*f = -11*f + 21. Suppose k - 20 - 12 = f*n, -k = 1. Are n and -12 non-equal? True Suppose 7*x - 3*x = -24. Let c(n) = 5*n**2 + 11*n + 10. Let q(y) = -y**2 - y - 1. Let r(z) = x*q(z) - c(z). Let f be r(6). Which is smaller: f or 4? f Let j be (-1)/((-6)/4)*123/1722. Which is greater: j or 3/2? 3/2 Let z = 0.43 - 0.03. Let i(c) = -4*c + 26. Let w be i(6). Is w at least z? True Let z = 14378/15 - 959. Which is smaller: z or 1? z Let u = 2081 - 1645. Which is greater: u or 438? 438 Let m(j) = -j**3 + 29*j**2 - 56*j + 50. Let o be m(27). Are -2 and o nonequal? True Let h = -27 - -27.44. Let w = -0.44 + h. Is w equal to -4? False Let v = 68/5 + -181/10. Which is smaller: v or -1? v Let r(x) be the first derivative of x**4/4 - 16*x**3/3 - 3*x - 5. Let y be r(16). Let q = 4 + y. Are q and 2 nonequal? True Let i be (1 - 0)*(-3)/(-3). Let w be 4*(i/(-2) - 0). Let a = -287.7 - -292.7. Which is bigger: a or w? a Let k(t) = -10*t**2 - 47*t - 16. Let f be k(-5). Are -0.3 and f nonequal? True Suppose 2*t - 4 = 4*o, -5*o = -5*t - 10*o + 25. Suppose -4*z - 67 = -3*c + 4*c, -2*z - t*c = 44. Suppose 4*u + 66 = 6. Is u > z? True Let w(j) = -j**3 + 2*j**2 - 2*j + 17. Let o be w(6). Is 1/5 at least as big as o? True Let y = -0.19 - 18.81. Let r = y - -19.2. Is r at most 4? True Let q = 22.3 - 22. Let n be 2/10 + 154/(-495). Which is greater: q or n? q Let c(o) = -2*o**2 - 10*o + 9. Let s be c(-8). Let v = -38 - s. Does v = -8? False Let b(a) = a + 8. Suppose -5 = 4*h + 11. Let o be b(h). Suppose o*s - 4 = -0*s. Which is smaller: s or -2/19? -2/19 Let z = -5 + 10. Let l = 9.8 - -1.2. Let f = l + -10.9. Is f at most as big as z? True Let h = 0.49 + -22.49. Which is smaller: h or 2? h Let j(d) = 90*d**2 + 1. Let b be j(-1). Let h be (-3)/(-7) + (-67)/b. Is h less than or equal to -1? False Let x = 115165/9 - 12781. Are 16 and x nonequal? True Let y be 3 - (-8 + 7014/637). Let i(q) = q**3 - 6*q**2 + 4*q + 6. Let g be i(5). Which is smaller: y or g? y Let l = -479 - -480.4. Which is smaller: l or 9? l Let r be (-16)/4 + 1/((-1)/477). Is -481 >= r? True Let r = 158 + -90.1. Let v = r - 68. Is v < 2/3? True Let w be -1*((-40)/5)/(-8592). Which is smaller: 0 or w? w Suppose 20 = -5*g + 80. Is -4 < g? True Let k = -17 - -21. Suppose 6*c = k*c - 26. Let v = -12 - c. Is -2 bigger than v? False Let v be (20/8)/((-1)/(-2)). Suppose 4*n + v - 17 = 0. Suppose -3*g + 25 = 4*p, -5*g + n*p - 1 = -p. Is g < 1? False Let n = 7/248 - 3549/2728. Let c = -3 - -1. Which is smaller: n or c? c Suppose -v + 18 = 8*v. Suppose 5*g = 5*r + 120, -3*g + 6*r + 73 = v*r. Are g and 24 nonequal? True Let t = 27 - 22. Let s be 1/(t/9) + -3. Suppose -3*k = 2*k. Is k at least s? True Let h = 1643/4120 - -1/824. Let z be (-5)/3*-3 + 0. Suppose -3*i - 29 = -u, -z*i - 41 - 18 = u. Are i and h nonequal? True Let v = -0.24 + -0.06. Is v less than 72? True Let w = -245.3 - -242.3. Which is smaller: w or -1.63? w Let m(v) = -3*v**2 - 18*v + 23. Let k(i) = 8*i**2 + 53*i - 68. Let f(p) = -4*k(p) - 11*m(p). Let q be f(10). Is q smaller than -23? False Suppose p + 31 - 32 = 0. Which is smaller: -16/33 or p? -16/33 Suppose -5*u = -8*u + 60. Suppose u = 2*s + 3*s. Suppose 0*g - 3*g + 20 = s*a, -4*a + 4 = -g. Are 2 and a unequal? False Let h = 1300 - 1305. Is 10 less than or equal to h? False Suppose -2*h - 12 = 5*w, -4*h + 2*w = -9*h + 12. Let l be (-1)/(1*h/(-12)). Suppose l*v - 8*v = 35. Is -6 at most v? False Suppose -4*j + 4*n + 9 = 33, 3*j - 5*n + 12 = 0. Let q(i) = -13*i**2 + 1. Suppose -4*h - 2 = 2. Let y be q(h). Are j and y equal? False Let c be (600/88 - 7) + 96/44. Is c at most -8? False Let a = -0.054 + 0.364. Let q = 0.09 + a. Let i = 1.4 - q. Which is smaller: -7 or i? -7 Suppose -90*u + 100*u = 20. Let y(l) = -13*l**2 - 25*l + 28. Let f(z) = -3*z**2 - 6*z + 7. Let i(m) = -9*f(m) + 2*y(m). Let k be i(u). Does k = 1? False Let a = 2 + -6. Suppose 9*p - 18 = -4*p - 5*p. Which is smaller: a or p? a Suppose 9 = -20*l + 11*l. Which is smaller: -3/455 or l? l Let u be -1 + 2 - (108/4 - -5). Are -36 and u unequal? True Let u = -279 + 286. Which is smaller: u or 12? u Let i = 0.143 + -2.483. Let q = i - -2.2. Let y = 0.86 - q. Is -1 smaller than y? True Let b = -130/209 - 15151/25707. Let s = -5/41 + b. Which is greater: -1 or s? -1 Let m be 16/12*3/2. Let d be (3 + 25)*(m - 1). Which is greater: d or 1? d Let w = -315 - -315.2. Is 309 >= w? True Let w be -3*6/(-72)*-4*1. Which is greater: w or 6/13? 6/13 Let d = -7009/5 + 1431. Is d > 28? True Suppose 5 - 3 = q - c, 5*c = -3*q - 18. Let h = 31/24 + -215/168. Let w = h - 65/168. Which is bigger: w or q? w Suppose -9*w + 2*u - 1467 = -12*w, 4*w - 2*u = 1970. Is w equal to 492? False Let p(q) = -q**3 - 4*q**2 - 3*q - 1. Let o be p(-1). Which is bigger: o or -1/555? -1/555 Let l be 16/1204*(-14)/24*2. Is 0.2 at m
{ "pile_set_name": "DM Mathematics" }
3 + -3.5. Let m(t) = 4*t - 3. Let p be m(0). Let q = -2 - p. Which is the smallest value? (a) -2 (b) n (c) q a Let j(v) = v**3 - 6*v**2 + v - 5. Let q be j(6). Let k = -6 + 9. Let u = 0 + k. What is the third smallest value in u, 0.03, q? u Let l = 55 + -43. Let y be ((-24)/9)/((-40)/l). What is the second biggest value in 1/4, 0.4, y? 0.4 Let q = -148 - -589/4. Let p = -525.2 + 522.2. What is the second biggest value in 1, 4/5, p, q? 4/5 Let w = 72 + -33. Let b be -2 + 3/(63/w). Let j = 0.6 - 0.5. What is the second biggest value in 1/4, j, b? j Let l = 1.05 + -2.7. Let k = -0.35 + l. Which is the smallest value? (a) 2 (b) -6 (c) k b Suppose -8*d - 57 = -49. What is the third smallest value in d, -64/7, -2/7? -2/7 Let n be (-6 - 1) + (-183)/(-27). Which is the third smallest value? (a) 2 (b) 2/121 (c) n a Let g = -7 + 6.7. Let h = 3.93 - -0.07. Let v = 0.039 + 0.161. What is the third smallest value in h, v, g? h Let l = -359 + 356.03. Let j = 0.03 - l. Suppose 5*v - 3*u - 14 = 0, 5*u = -0*v + v + 6. What is the third smallest value in v, j, -2? v Let f = 32 + -30. Let z = 24.4 - 24. Which is the second smallest value? (a) -17 (b) f (c) z c Let k = 189 - 217. Which is the second smallest value? (a) 2/13 (b) k (c) 4 a Let o = 6/17 - 41/68. Let t = -479/335 + 7/5. Let p = -164/1005 - t. What is the third smallest value in p, o, -5? p Suppose -2*s + 29 = 9. Let m be (-34)/(-85) + 26/s. Which is the second biggest value? (a) m (b) -12 (c) 5 a Let c(w) be the second derivative of w**4/12 + w**3 - 2*w**2 + 11*w. Suppose 4 = -l - 2. Let b be c(l). What is the smallest value in -5/3, b, -0.3? b Let q = -1.57 - -0.17. Let v = -1.4 - q. What is the third biggest value in 2, v, -5/6? -5/6 Let f(q) = -2*q**3 + 3*q**2 + 17*q + 2. Let c be f(-4). Let y be ((-10)/(-3))/((c/(-15))/11). What is the smallest value in 0.4, -2/13, y, 0? y Suppose 0 = j + 1 + 1. Let a be (-370)/75 + (-10)/j. What is the third biggest value in a, -0.2, 1, 1/2? a Let k = -147/355 - -1/71. Suppose -6 = -8*z + 42. Let p be ((-1)/(-7))/((-3)/z). What is the second smallest value in k, p, 4? p Let u = -340.1 - -340. Suppose -5*d + 100 = 25. Let j = -10 + d. Which is the biggest value? (a) 0.02 (b) u (c) j c Let o = -22 - -18. Which is the smallest value? (a) 3/4 (b) o (c) -2/13 (d) 4 b Let q = -68 + 68.64. Let m = -0.64 + q. What is the second biggest value in -0.2, 2, m, 2/5? 2/5 Let h be -5*((-65)/(-25) - 3). Let w = -140 - -204. Let c be w/(-20) + h - -1. What is the smallest value in -1, 2, c? -1 Let z = 5.9543 - -0.0457. What is the fourth biggest value in z, 0.4, -3, 1.5? -3 Let w be (-4)/20 + (0 - 2732/(-35)). Let s = 78 - w. What is the second smallest value in s, 2/3, 5, 1? 2/3 Let o = 17.43 + -19.43. Which is the biggest value? (a) 0 (b) -1/6 (c) o a Let f = -25 - -5. Let q = f + 15. What is the second smallest value in -3, 2/5, q? -3 Let l be (442/(-16))/(7/(-42)). Let v = l - 165. Let f be ((-4)/(-2))/(-2 + -1). Which is the third biggest value? (a) v (b) f (c) -1 c Let t = -172/5 + 34. What is the fourth biggest value in t, 4, 6, -5? -5 Let g(n) = 2*n - 32. Let u be g(19). Let q(y) = y**3 - 5*y**2 - 7*y + 3. Let z be q(6). Let s = u + z. What is the third smallest value in -0.05, -1, s? s Let o = 58/3 + -172/9. What is the second biggest value in o, 0, 3.9? o Let i = -517/2 + 9813/38. Let o = i + 53/57. Which is the fourth biggest value? (a) -0.2 (b) o (c) -3 (d) -2 c Suppose 0*y + 6*y - 24 = 0. What is the biggest value in 3, -5, y? y Let h = -8.91 - -29.435. Let v = -0.025 + h. Let u = -21 + v. Which is the second smallest value? (a) 8 (b) u (c) 2 c Let l = -866/9 + 96. Let j be 2/6 - (-112)/(-21). What is the third smallest value in j, 0.4, l? 0.4 Let w = -0.0691 - 0.9309. What is the fourth biggest value in 7, w, 0.5, 2/5? w Let i = -57 - -56.7. Let d = 37 - 24. Let f = -12 + d. Which is the second biggest value? (a) 0.2 (b) i (c) f a Let o = 84.8 - 7.8. Let i = o + -77.13. Which is the third biggest value? (a) -4 (b) i (c) 3/5 a Let d = 2.943 - 2.643. Let k be -1*(0 + 1 + -2). What is the second biggest value in 4, d, k? k Let g = -0.01 - -0.61. Let s = -6 + -5. Let d = -15 - s. Which is the smallest value? (a) d (b) 1/3 (c) g a Let d = -17/27 + -1/27. Let x be (5 + -1)/((-4)/2). Let n = x - -6. What is the biggest value in 2/7, n, d? n Let i be (-2176)/96*6/4. Let d = 3683 + -11152/3. Let y = i - d. Which is the second smallest value? (a) y (b) -0.1 (c) -3 b Let j be 9/3 + (-375)/141. Let z = j - 302/611. Let w = 2 - -8. What is the second smallest value in w, 4, z? 4 Suppose -143 = 2*r - 33. Let y be (-1)/(-2) + r/50. Let z be -2*(-8*8/(-60) + -1). Which is the smallest value? (a) -0.2 (b) z (c) y c Let m = -11453/969 - -206/17. Let k = -2/57 - m. Let s = 41/68 + -6/17. What is the third smallest value in s, k, 0? s Suppose 2 - 130 = -4*n. Let t = n - 31. Which is the smallest value? (a) 1/4 (b) t (c) -3/5 c Let x be (-2)/(-2) - 2/4. Let f be (10 - 6)*-2 + 5. Which is the third biggest value? (a) x (b) -4/7 (c) -0.4 (d) f b Let h = -2000 - -1998. Let r = -11/6 + 13/6. What is the second biggest value in r, h, 2/11? 2/11 Let r = -5 + 4. Suppose 9*y - 2*z + 2 = 6*y, -y = -4*z - 16. Which is the third biggest value? (a) y (b) 5 (c) r a Let r be 2/5 - 16/90. Let s be -4*(-1045)/352 - 11. Which is the second biggest value? (a) r (b) -0.3 (c) s a Let z = 1.07 + -1.52. Let u = z - -0.35. What is the third smallest value in u, -5, 6, -2? u Let k = 2.76 - 2.96. What is the fourth smallest value in k, -0.1, 1, -14/9? 1 Let w = -9 + 9. Suppose 5*f - 4*f - 6 = w. Let v be f/(-12) + 1 + -1. What is the biggest value in 3/2, 1, v? 3/2 Let k be 178/114*12/(-9). Let i = k + 48/19. Let d = 25/36 - i. Which is the second smallest value? (a) 3/2 (b) -1/4 (c) d c Let o = -2287/6 - -381. What is the fourth biggest value in 1, 1/2, o, 0.04? o Let w = -277 + 277.1. Which is the smallest value? (a) 2/11 (b) w (c) 0.3 (d) 2 b Let q = 4.9 - 0.9. Let v = -3.91 + q. Let n = -0.09 + v. Which is the second smallest value? (a) -1 (b) n (c) 1 b Let d = -9.98 + -0.02. Let g = 0.02 - -14.98. Let t = g + d. Which is the second smallest value? (a) -1 (b) t (c) 2/7 c Let i be ((-18)/(-63))/(6/14). Which is the third smallest value? (a) i (b) -0.06 (c) -4/5 a Let b(s) = -3*s + 5. Let r be b(0). Let j = 9 + -2. Let u = j + -12. What is the third smallest value in u, r, -1? r Let g = 1.5 + -1.64. Let z = 3.14 + g. Which is the third biggest value? (a) -16 (b) z (c) 3/2 a Let o = -964 + 965. What is the fourth smallest value in -0.5, -4/7, o, -3? o Let m = 35 - 32.4. Let t = 0.6 - m. Let f = -347/134 - -6/67. Which is the second smallest value? (a) t (b) f (c) -1/5 a Let l = 10.4 - 10.8. Let f = 4.3 + 0.7. Which is the fourth biggest value? (a) -3/7 (b) f (c) l (d) 0.4 a Let r = -2 + 0. Let p = 0.054 - -4.046. Let w = p - 4.3. Which is the second smallest value? (a) -3 (b) r (c) w b Let w = 273 - 298. Which is the third biggest value? (a) -0.2 (b) w (c) -2 (d) 1/3 c Let b = -773/5 + 154. Let r be 4 + ((-2)/4)/(133/1140). What is the second smallest value in r, -15, b? b Let p = -191.9 + 192.4. Let t = 3.3 + -3. Which is the third smallest value? (a) p (b) t (c) 4 c Let o = -2 + 2. Let d = 42.1 - 42. Let v = o + d. What is the third smallest value in 4, v, 0.4? 4 Let g = 0 + -8. Let m be 0/(1/(4/g)). Suppose m = h + t + 2*t - 14, 11 = 4*h + 3*t. What is the smallest value in -1/3, 0.1, h? h Suppose 0*g = 5*g - 2*k + 17, -5*k + 17 = -4*g. Let d be (6 + -6)/(g + 1). Let l = -3297/8 - -412. Which is the smallest value? (a) 5 (b) d (c) l c Suppose 9 = 2*k + 5*r, 0 = 4*k - 8*r + 6*r - 6. Which is the fourth biggest value? (a) -16 (b) 0.4 (c) 0.2 (d) k a Suppose -4 = 3*n + 5. Let v = 13 - 19. Let y be 4/10 + v/(-30). Which is the smallest value? (a) -1 (b) n (c) y b Let d = -225.7 + 224.697. Let f = -0.003 - d. What is the second smallest value in f, 0.01, 5? f Let l = 32.55 + 0.45. Let x = 29 - l. Let v = -0.52 + -0.08. Which is the second biggest value? (a) -2 (b) v (c) x a Let v = -25.9 + 25.88. Which is the third smallest value? (a) -8 (b) 5 (c) v b Let l = -2/3399 + 2356/152955. Let v =
{ "pile_set_name": "DM Mathematics" }
o? 4 Suppose -4*v = -3*v + 1. Let b(i) = i**3 + i**2. Let u(a) = a**3 - 3*a**2 + 4*a - 5. Let m(t) = v*u(t) + 2*b(t). What is the units digit of m(-5)? 5 Let h(o) be the third derivative of -o**5/60 - 7*o**4/24 - 2*o**3/3 - 5*o**2. Suppose -4 = -4*z - 28. What is the units digit of h(z)? 2 Let q(l) = 10*l - 7. Let c be q(1). What is the units digit of c/(-21) - 2019/(-21)? 6 Let f(v) = -v**3 - 15*v**2 - 23*v + 44. Let l be f(-13). Let a = -47 + 107. Suppose -r = -5*c + 6, a = 3*r + l*c + 18. What is the units digit of r? 9 Let p(a) = 225*a**3 + a**2 - a + 1. Let x = 90 + -89. What is the hundreds digit of p(x)? 2 Let i be (-175)/(-5 + 10)*(1 + 0). Let r = i - -47. What is the units digit of r? 2 Let c = 280 + -145. What is the tens digit of c/(-3)*4/(-5)? 3 Suppose 17*k = 21*k + 2*i - 390, 4*k - 2*i - 394 = 0. Let j = 27 - -37. Suppose 5*h - k = 3*v + v, -4*h + j = 4*v. What is the tens digit of h? 1 Let z = -16 - -20. Suppose 3*n + x + x = 50, -63 = -z*n + x. Suppose -r + n = -22. What is the tens digit of r? 3 Suppose 0*o + 3 = 3*o. Let u = -1 + o. Suppose -4*x = -3*k + k - 64, u = 5*x - 2*k - 79. What is the tens digit of x? 1 Suppose 2*x + 19 = -1. What is the units digit of x/(-15)*(-90)/(-4)? 5 Let p(v) = -v**2 - 11 + 0*v**2 + 11*v - v + 1. Let w be p(9). What is the units digit of w/(3/(-9)*1)? 3 Let c(l) = -10*l - 74. Let r be c(-27). Let p = r + -64. What is the units digit of p? 2 Suppose 29 = -4*u + 113. Let c = -33 + u. Let p = -9 - c. What is the units digit of p? 3 Let o(p) = -p**2 - p + 4. Let t be o(-3). Let y(h) = -91*h + 13. What is the tens digit of y(t)? 9 Suppose -5*p = c + 65, -c + 23 = -2*p - 2*c. Let r(j) = 4*j + 11. Let k be r(-3). What is the units digit of 3 + 6*k - p? 1 Let h be 33/3 + -4 + 2 - -2. Suppose 387 = h*q - 8*q. What is the hundreds digit of q? 1 Let y(v) = v**3 + 9*v**2 + 3*v - 7. Let l be y(-6). Suppose -3*x = -5*i - l, -4*x + 3*i = -39 - 90. What is the tens digit of (-2 - x/(-8))*6? 1 Let r(o) = -12*o + 618. What is the tens digit of r(0)? 1 Suppose -4*j + 40 = -2*a - 36, -j + 26 = 3*a. Suppose 5*k + 24 = q, j = 2*k - 5*k + 2*q. What is the units digit of k + ((-50)/(-2) - 3)? 8 Let u be (-3)/(-9) - (-10)/(-30). Let q(k) = 28*k. Let y be q(-1). Let d = u - y. What is the units digit of d? 8 Suppose 4*a + 3*o - 49 - 42 = 0, -106 = -5*a + 4*o. What is the tens digit of (-4480)/(-44) + 4/a? 0 Let k(f) = 3*f**2 + 2*f + 1. Let j be k(-1). Suppose -j*m - 58 = -3*m. What is the units digit of m? 8 Suppose -3*o - 4*g = 11, 0 = -2*o + 3*g + 21 - 0. Let q(r) = 85*r - 28. What is the tens digit of q(o)? 2 What is the units digit of (2628/8)/(19/38)? 7 Let t = 12 - 7. Suppose -i + 12 = t*i. What is the units digit of i? 2 Let r(o) = -4*o - 47. What is the units digit of r(-14)? 9 Suppose -3*u - 82 = -2*v, -3*v - 4*u + 89 = -0*v. Let b = -4 - v. What is the units digit of (-6 + 3)/(-3) - b? 0 Let v(o) = 43*o**2 + 21*o + 14. What is the tens digit of v(-3)? 3 Suppose -4*x = -2*x + 4*v - 336, -4*x + v = -672. What is the hundreds digit of x? 1 Let g(z) = -2*z**2 + 2 + z**2 - 12*z + 9*z + 3*z**2. Let v(x) = -x**3 + 10*x**2 - 9*x - 3. Let w be v(9). What is the tens digit of g(w)? 2 Let g(o) = -2*o - 12. Let y be g(-8). Suppose -y*d + 3*d = -126. What is the tens digit of d? 2 Let r = -28 - -20. Let f = -7 - -25. Let t = r + f. What is the tens digit of t? 1 Let b = 257 - -418. What is the tens digit of b? 7 Suppose 0 = m - 10*l + 5*l + 62, -3*m + 4*l = 175. Let j = 59 + m. What is the units digit of j? 2 Suppose -6 = 3*z, -2*f + 856 = -0*f + 3*z. What is the units digit of f? 1 Suppose 4*r + 2196 = -q + 6*q, -3*r + 1323 = 3*q. What is the tens digit of q? 4 Let j = 6 + -3. Suppose -w = -3*a + 21, -3*a + 35 = 2*a - 4*w. Suppose -84 = j*q - a*q. What is the tens digit of q? 2 Let l = 11 + -11. Let u = 2 + l. Suppose u*k - 59 = -2*i - 11, -5*k - 40 = -3*i. What is the tens digit of i? 2 Let w = -2779 + 4395. What is the units digit of w? 6 What is the hundreds digit of (-8136)/(-10) - (-24)/300*5? 8 Let r(b) = 2*b - 5 - 10 + 16 + 67*b**2. What is the tens digit of r(2)? 7 Suppose -362 = -9*l + 214. What is the tens digit of l? 6 Let t(w) = -6*w**2 + 2*w + 3*w**2 - 4*w + 2*w**2. Let x be t(-1). Suppose -3*f + x = f + 3*g, -9 = -5*f + 4*g. What is the units digit of f? 1 Let j be 1 - (1 + 2*-3). Let f be j*(-3)/(-6) - -9. Suppose -2*s = -32 - f. What is the tens digit of s? 2 Suppose 0 = -4*v + v + 144. Suppose 0 = -0*g - 4*g + v. What is the tens digit of g? 1 Let a = -214 - -411. What is the tens digit of a? 9 What is the units digit of -4405*(4/(-35) + (-4)/14)? 2 Suppose 5*n - w - 151 - 1228 = 0, -4*n + 1116 = -4*w. What is the units digit of n? 5 Suppose 1212 + 264 = 6*v. Suppose 2*q = 4*s - q - v, 0 = -5*s - 3*q + 294. What is the tens digit of s? 6 What is the tens digit of 1689/(5/5)*(-16)/(-24)? 2 What is the hundreds digit of -102 + 103 + (-1 - -1458)? 4 Let r(b) = 45 - 4*b**2 + 13*b + b + b**3 - 19 + 24*b**2. What is the units digit of r(-19)? 1 Let c(q) = 11*q - 4. Suppose 5 = 2*g - 3. What is the units digit of c(g)? 0 Let l(a) = 6*a**2 - 14*a - 9. What is the hundreds digit of l(9)? 3 Suppose 0 = 4*o - 0*o - 2148. What is the hundreds digit of o? 5 Suppose -3*y + 4*o = -137, -4*y + 216 = -0*y + 3*o. Suppose 4 = -2*c, 2*k + 8 = 4*c - 9*c. What is the tens digit of k/(0 - (-3)/y)? 1 Let u be 4 + (-5 + 1 - -3) - -587. Suppose -12*q = -u - 1102. What is the hundreds digit of q? 1 Let z(l) = 10*l**2 + 19*l - 6. What is the tens digit of z(-8)? 8 Suppose 4*n = 5*r + 1327, 3*r = 3*n - 8*n + 1668. What is the hundreds digit of n? 3 Suppose -13*b = -212 - 2804. What is the tens digit of b? 3 Let m(c) = 12*c - 9. Let x(b) = b. Let d(w) = m(w) - 3*x(w). What is the tens digit of d(5)? 3 Suppose z - 6 = -z + 2*b, 6 = z - 2*b. Let t be (10/15)/(2/(-6)). What is the units digit of 4 + 2 + t + z? 4 Let c = -334 + 416. What is the units digit of c? 2 Suppose 5*j = j + p - 20, -5*j - 2*p = 38. Suppose 16 = 6*q - 8*q. What is the units digit of (j/5)/(q/100)? 5 Suppose -2*x + c = 2*x - 14, 0 = 2*x - 5*c + 2. Suppose -x*d + 839 = -273. What is the units digit of d? 8 Let l be ((-2)/3)/((-4)/12). Suppose r = l*r + 55. What is the tens digit of (r/44)/(1/(-8))? 1 Let l(d) = -194*d - 310. What is the tens digit of l(-20)? 7 What is the units digit of (2 - -37)/(33/154)? 2 Let h(s) = -28*s**3 - 2*s**2 + 10*s + 8. What is the tens digit of h(-3)? 1 Suppose -9*t - 26*t = -6825. What is the units digit of t? 5 Let j(g) = -g**3 - 7*g**2 + 7. Let i be j(-7). Let a = i + -2. Suppose 7 = a*l - 13. What is the units digit of l? 4 Suppose 3*k + 4*m - 1078 = 0, k - 4*m = 7 + 347. What is the units digit of k? 8 Suppose 7*w + 1644 = 6*w. What is the hundreds digit of w/(-9) - (-3)/9? 1 Suppose -4*r - 13 = -5, -2*w - 10 = 3*r. Let i = w + 74. What is the units digit of i? 2 What is the units digit of (-1 + 1 + 4)/((-10)/(-2210))? 4 What is the units digit of (((-952)/70)/(-1))/((-4)/(-210))? 4 Let d(y) = 15*y**3 - 2*y**2 - 3*y - 4. What is the tens digit of d(3)? 7 Suppose 176 = 4*r + 4*j, 4*r - 241 = -5*j - 67. Suppose 0 = -4*q + 6*q - r. What is the units digit of q? 3 Suppose 3*k = 5*d + 123, -7*k + 33 = -6*k + d. What is the tens digit of k? 3 Let v = -1 + 5. Suppose 628 + 152 = v*f. What is the tens digit of f? 9 Suppose 2*y + c + 8 = 0, -2*y + 3*c = -0*y. Let t be 22/y + (-14)/21. Let h = t + 13. What is the units digit of h? 5 Let u = -64 + 67. Let b = u - -74. What is the units digit of b? 7 Suppose -4*g + 2*g - 3*n + 3176 = 0, 0 = -2*g - 4*n + 3172. What is the thousands digit of g? 1 Let u(z) = 36*z + 14. What is the hundreds digit of u(6)? 2 Let r(c) = c**3 + 3*c**2 - 6*c - 6. Let k be r(-4). Suppose h = k*h - 45. Suppose h = 2*o + 5*p, -5*o + 19 + 26 = -p. What is the units digit of o? 0 Suppose 3*o - 2862 = -759. What is the tens digit of o? 0 Suppose -10*t + 14415 = 5*t. What is the units digit of t? 1 Suppose d + 55 = 12*d. Suppose 0 = -5*j, d*n - 4*j = -0*j + 115. What is the units digit of n? 3 Let x be (-22)/(-8) + 2/8. What is the units digit of 3*(-152)/(-36)*x? 8 Let v(t) = -45*t - 40. What is the tens digit of v(-6)? 3 Let y be (-3)/(24/(-118)) - (-18)/(-24). What is the tens digit of (-65)/30*(-3 + 0)*y? 9 Suppose
{ "pile_set_name": "DM Mathematics" }
99? -1419*n**2 - 2*n + 13 What is the i'th term of 4218, 4701, 5182, 5661? -i**2 + 486*i + 3733 What is the o'th term of 3100, 3101, 3120, 3163, 3236, 3345, 3496, 3695? o**3 + 3*o**2 - 15*o + 3111 What is the v'th term of 134, 259, 402, 569, 766, 999, 1274? v**3 + 3*v**2 + 109*v + 21 What is the p'th term of 669, 2601, 5819, 10323? 643*p**2 + 3*p + 23 What is the d'th term of 16779, 16786, 16797, 16812, 16831? 2*d**2 + d + 16776 What is the z'th term of 576, 594, 616, 642? 2*z**2 + 12*z + 562 What is the f'th term of -740, -1203, -1710, -2261, -2856, -3495? -22*f**2 - 397*f - 321 What is the l'th term of -1024, -944, -868, -796, -728? -2*l**2 + 86*l - 1108 What is the d'th term of -4606562, -4606560, -4606556, -4606550, -4606542, -4606532? d**2 - d - 4606562 What is the f'th term of -25799, -25756, -25713, -25670, -25627, -25584? 43*f - 25842 What is the d'th term of 409509, 409505, 409501? -4*d + 409513 What is the l'th term of 761, 1664, 2567? 903*l - 142 What is the x'th term of -15667, -15697, -15725, -15751, -15775, -15797, -15817? x**2 - 33*x - 15635 What is the v'th term of -858619, -858621, -858623, -858625, -858627? -2*v - 858617 What is the v'th term of -404, -1741, -3970, -7091, -11104, -16009? -446*v**2 + v + 41 What is the v'th term of 290, 342, 394, 446, 498, 550? 52*v + 238 What is the g'th term of -1, -213, -427, -643, -861? -g**2 - 209*g + 209 What is the m'th term of -4475, -4665, -4989, -5441, -6015, -6705? m**3 - 73*m**2 + 22*m - 4425 What is the c'th term of -6381, -12779, -19175, -25569, -31961, -38351? c**2 - 6401*c + 19 What is the f'th term of 52450, 52512, 52620, 52780, 52998, 53280? f**3 + 17*f**2 + 4*f + 52428 What is the h'th term of -4823, -19307, -43453, -77261, -120731, -173863, -236657? -4831*h**2 + 9*h - 1 What is the o'th term of 187, 402, 649, 940, 1287? 2*o**3 + 4*o**2 + 189*o - 8 What is the a'th term of 1714, 6876, 15474, 27508? 1718*a**2 + 8*a - 12 What is the l'th term of 84664, 84692, 84720, 84748, 84776? 28*l + 84636 What is the o'th term of 17352, 17201, 17050, 16899? -151*o + 17503 What is the x'th term of -809, -1118, -1427, -1736, -2045, -2354? -309*x - 500 What is the z'th term of 32330, 32262, 32204, 32162, 32142, 32150, 32192, 32274? z**3 - z**2 - 72*z + 32402 What is the q'th term of -718530, -718534, -718540, -718548, -718558? -q**2 - q - 718528 What is the b'th term of 544, 2017, 4466, 7885, 12268, 17609, 23902, 31141? -b**3 + 494*b**2 - 2*b + 53 What is the o'th term of -4373, -4789, -5205, -5621, -6037? -416*o - 3957 What is the c'th term of -84, -664, -1244, -1824, -2404? -580*c + 496 What is the y'th term of 99, 87, 75, 63, 51, 39? -12*y + 111 What is the d'th term of -66, -676, -2308, -5472, -10678, -18436, -29256? -85*d**3 - d**2 - 12*d + 32 What is the b'th term of 119261, 238532, 357819, 477128, 596465, 715836? b**3 + 2*b**2 + 119258*b What is the k'th term of 123, 50, -145, -522, -1141, -2062? -10*k**3 - k**2 + 134 What is the o'th term of 2674, 5361, 8058, 10765, 13482? 5*o**2 + 2672*o - 3 What is the i'th term of -10343, -20702, -31061, -41420, -51779, -62138? -10359*i + 16 What is the b'th term of 3765, 3750, 3735, 3720? -15*b + 3780 What is the h'th term of 1582, 1500, 1428, 1372, 1338, 1332? h**3 - h**2 - 86*h + 1668 What is the o'th term of 565, 1144, 1725, 2308? o**2 + 576*o - 12 What is the b'th term of -254, -808, -1728, -3014, -4666, -6684, -9068? -183*b**2 - 5*b - 66 What is the w'th term of 257, 280, 319, 374, 445? 8*w**2 - w + 250 What is the k'th term of -250325, -250326, -250327, -250328, -250329? -k - 250324 What is the u'th term of -1086964, -1086980, -1086998, -1087018, -1087040? -u**2 - 13*u - 1086950 What is the n'th term of -9883, -9912, -9941, -9970, -9999, -10028? -29*n - 9854 What is the w'th term of -384050, -768101, -1152152, -1536203? -384051*w + 1 What is the s'th term of -136, 56, 376, 830, 1424, 2164, 3056? s**3 + 58*s**2 + 11*s - 206 What is the m'th term of 296, 765, 1570, 2879, 4860, 7681, 11510? 28*m**3 + 273*m - 5 What is the u'th term of -646, -1278, -1910, -2548, -3198, -3866, -4558? -u**3 + 6*u**2 - 643*u - 8 What is the o'th term of 59162, 59160, 59156, 59150, 59142, 59132, 59120? -o**2 + o + 59162 What is the b'th term of -755, -1523, -2291, -3059, -3827? -768*b + 13 What is the u'th term of 7210, 7164, 7118? -46*u + 7256 What is the o'th term of -155, -911, -2859, -6593, -12707, -21795, -34451, -51269? -99*o**3 - 2*o**2 - 57*o + 3 What is the w'th term of -255806, -255809, -255812? -3*w - 255803 What is the s'th term of 9670, 9706, 9742? 36*s + 9634 What is the v'th term of 12, 32, 88, 198, 380, 652, 1032? 3*v**3 - v + 10 What is the z'th term of -1255, -1363, -1471, -1579? -108*z - 1147 What is the y'th term of -2428452, -2428450, -2428448, -2428446, -2428444, -2428442? 2*y - 2428454 What is the r'th term of 300, 645, 1026, 1449, 1920, 2445, 3030, 3681? r**3 + 12*r**2 + 302*r - 15 What is the r'th term of 5515, 11039, 16563? 5524*r - 9 What is the a'th term of -231, -762, -1675, -2994, -4743? -4*a**3 - 167*a**2 - 2*a - 58 What is the v'th term of 1209, 2550, 3891? 1341*v - 132 What is the q'th term of 373, 516, 887, 1600, 2769? 19*q**3 + 10*q + 344 What is the f'th term of 1293, 5208, 11727, 20844, 32553, 46848, 63723? -f**3 + 1308*f**2 - 2*f - 12 What is the n'th term of -207, -516, -1037, -1776, -2739, -3932, -5361, -7032? -n**3 - 100*n**2 - 2*n - 104 What is the u'th term of 7374, 7419, 7482, 7557, 7638? -u**3 + 15*u**2 + 7*u + 7353 What is the f'th term of 8783, 17563, 26339, 35111, 43879, 52643? -2*f**2 + 8786*f - 1 What is the s'th term of -9092, -9090, -9088, -9086, -9084? 2*s - 9094 What is the g'th term of 22903, 22896, 22893, 22894? 2*g**2 - 13*g + 22914 What is the q'th term of -3253, -6506, -9749, -12976, -16181, -19358? q**3 - q**2 - 3257*q + 4 What is the o'th term of -2598, -5303, -8008, -10713, -13418? -2705*o + 107 What is the g'th term of -522649, -1045298, -1567947, -2090596? -522649*g What is the l'th term of 1604, 1606, 1610, 1616? l**2 - l + 1604 What is the g'th term of 199, 393, 597, 811, 1035? 5*g**2 + 179*g + 15 What is the v'th term of 222, 165, 108, 51? -57*v + 279 What is the n'th term of -6612555, -6612554, -6612553, -6612552, -6612551? n - 6612556 What is the b'th term of 1146, 1168, 1212, 1284, 1390, 1536, 1728? b**3 + 5*b**2 + 1140 What is the h'th term of -53, -188, -323? -135*h + 82 What is the s'th term of -16581, -66357, -149317, -265461? -16592*s**2 + 11 What is the d'th term of -1251, -2469, -3687, -4905, -6123, -7341? -1218*d - 33 What is the c'th term of -633, -3233, -7571, -13647, -21461, -31013, -42303? -869*c**2 + 7*c + 229 What is the z'th term of -2346, -18731, -63210, -149829, -292634, -505671, -802986, -1198625? -2341*z**3 - z**2 + 5*z - 9 What is the t'th term of 91833, 183666, 275499? 91833*t What is the m'th term of 453, 889, 1311, 1719, 2113, 2493, 2859? -7*m**2 + 457*m + 3 What is the n'th term of 6, -12, -92, -270, -582? -6*n**3 + 5*n**2 + 9*n - 2 What is the v'th term of -269429, -269440, -269451, -269462, -269473, -269484? -11*v - 269418 What is the a'th term of 8728, 17449, 26152, 34831, 43480, 52093? -a**3 - 3*a**2 + 8737*a - 5 What is the s'th term of -76, -282, -588, -964, -1380, -1806? 5*s**3 - 80*s**2 - s What is the i'th term of 986, 977, 970, 965, 962, 961, 962? i**2 - 12*i + 997 What is the r'th term of 1487, 6129, 13927, 24881, 38991? 1578*r**2 - 92*r + 1 What is the r'th term of -194, -616, -1266, -2150, -3274, -4644, -6266, -8146? -r**3 - 108*r**2 - 91*r + 6 What is the b'th term of -354360, -708720, -1063080, -1417440? -354360*b What is the a'th term of -40, -352, -878, -1624, -2596, -3800, -5242? -a**3 - 101*a**2 - 2*a + 64 What is the p'th term of 1157, 2630, 4099, 5564, 7025, 8482? -2*p**2 + 1479*p - 320 What is the v'th term of -2141, -17237, -58207, -137987, -269513? -2156*v**3 - v**2 - v + 17 What is the g'th term of -23, -26, -77, -200, -419, -758? -4*g**3 + 25*g - 44 What is the a'th term of 352, 1114, 2378, 4138, 6388? -a**3 + 257*a**2 - 2*a + 98 What is the h'th term of 160, 137, 82, -23, -196, -455? -3*h**3 + 2*h**2 - 8*h + 169 What is the g'th term of -7605, -7608, -7611, -7614, -7617? -3*g - 7602 What is the r'th term of -9678, -19355, -29032, -38709, -483
{ "pile_set_name": "DM Mathematics" }
Which is the nearest to -5? (a) 0.047 (b) -11 (c) 3 (d) -3 (e) 0.06 d What is the nearest to 0.1 in 25, -1/865, 2/25, -0.1? 2/25 Which is the nearest to 3? (a) 1104 (b) -5 (c) 1/8 (d) 0 (e) 0.2 e What is the nearest to 2/3 in -6, -2/15, 0.09, 0.068, -2/17, -1/2? 0.09 What is the closest to 0.1 in 2/3, 7, 0.0562, -0.7, 4, -30? 0.0562 Which is the closest to -1? (a) 0.03 (b) -5583 (c) 3/4 a Which is the nearest to 0? (a) -297934 (b) -14 (c) -1 (d) -2/15 d What is the nearest to 3 in 0.5, -0.1, -4/3, 25222, -4? 0.5 Which is the nearest to -2/23? (a) 10 (b) 0.7 (c) 25.7 b Which is the closest to -0.13? (a) -1/8 (b) 9/13 (c) -1 (d) 0.039 (e) -0.5 a What is the nearest to 0.1 in -106, 18450, -0.2? -0.2 Which is the nearest to 109? (a) -0.9 (b) 0.1 (c) -53 (d) -25/2 b Which is the nearest to 1? (a) 0.3 (b) 25015 (c) -1.8 (d) -2 a Which is the closest to -1/2? (a) -2 (b) -3 (c) -0.05 (d) 0.1 (e) 46335 c What is the nearest to 4 in 1, -0.3, -4, 0.0584, 4/29? 1 Which is the closest to 1.4169? (a) 4 (b) -5 (c) 12/7 c What is the nearest to 0 in -3, -0.5, 5, 64, -1914? -0.5 Which is the nearest to -1/3? (a) 1 (b) 2/17 (c) 0.09006 c Which is the nearest to -2? (a) -880 (b) 0 (c) 206 b What is the closest to -0.1 in 0.2, 1368.95, -5? 0.2 Which is the closest to -0.1? (a) 1 (b) 2 (c) 1.8 (d) -164 (e) -7 a What is the closest to 0.3 in 0.1, -2033, 104, 4? 0.1 Which is the closest to 0? (a) 0.1 (b) -0.3 (c) -6 (d) -4 (e) -0.18 a What is the closest to 0.5 in 2/27, -9, 2.5, 0.1? 0.1 Which is the closest to 0? (a) -2617 (b) -2/3 (c) 0 (d) -1.4 (e) -10 c Which is the nearest to 30? (a) 3 (b) -3/619 (c) 191/5 c Which is the closest to 1/2? (a) 0.4 (b) -2 (c) 2587198 a Which is the closest to 0.1? (a) -1.885 (b) 4/5 (c) 144 (d) -0.5 (e) 0.04 e What is the closest to 19 in 286, -5, 1/8, 46? 1/8 What is the nearest to -22/15 in 3, -3, 259/5? -3 Which is the nearest to -0.4? (a) 0 (b) -2 (c) 3/22 (d) 1/8 (e) -1263 a What is the closest to 53 in 334, -5, -14? -5 Which is the nearest to 27? (a) -2/7 (b) 1/3 (c) -0.05 (d) -375 b What is the nearest to 0.1 in 9, 97, 33, 2, -15, -9? 2 What is the nearest to -1/4 in 5, 11/13, -395, 3, 65? 11/13 Which is the closest to -56/5? (a) -9.39 (b) -2 (c) 3 a What is the closest to 1259 in -0.2, 0.5, 0.3, -0.5, -261? 0.5 Which is the nearest to 2.32? (a) 41.959 (b) 4 (c) 0.4 b Which is the closest to -10607? (a) -2/9 (b) 2/9 (c) 1/7 (d) -45 (e) 0.2 d What is the closest to -1/3 in -6/5, -1.117, 306, 0.2, 1, -2? 0.2 What is the closest to 448 in -1/5, 4/15, -4, 5, -3/7? 5 What is the nearest to -4/7 in -3/2, -304, 2, 1, 6? -3/2 What is the nearest to -2 in -0.2, 2, -1/6, 0.47, 21879? -0.2 Which is the closest to 674? (a) 7 (b) -0.11 (c) 81 c Which is the closest to -5? (a) 1/886 (b) -0.2 (c) -5 (d) -196 c What is the nearest to -2/9 in -0.3, -599, 3/58, -0.5? -0.3 What is the closest to -0.3717 in -1015, -0.2, 0.5? -0.2 What is the closest to 0.5 in 0.184, -2/105, 1/557? 0.184 What is the nearest to -1 in 61009, 5, 30, 0? 0 Which is the closest to 4? (a) 378 (b) 47/6 (c) -5 (d) 2 d Which is the nearest to 0? (a) 621 (b) 4 (c) -5 (d) -470 b What is the closest to -1.43 in -14/9, -156, 0.3, 0.5, -1? -14/9 Which is the nearest to 1? (a) 1/65 (b) 12/19 (c) -16 (d) 3/2 (e) -1/3 b Which is the nearest to -17.55? (a) 991 (b) -3 (c) 1 (d) 0 b Which is the nearest to 0.1? (a) -4/7 (b) -0.5 (c) -2/15 (d) -5448.4 (e) 0.5 c Which is the closest to 4/1385? (a) -2 (b) 3 (c) 4 (d) 23/12 d Which is the closest to 0.79? (a) -1/3 (b) 5/3 (c) -2.9 (d) 5 b What is the nearest to -0.03 in -2, -0.4, 0.68, 0.3, -154/3, -1/3? -1/3 What is the closest to -3 in -0.1, -1904, -1109? -0.1 Which is the nearest to 6/25? (a) -12303 (b) 0.01 (c) 1 b What is the closest to -1 in 55, 1/4, 229688/7, -0.2? -0.2 What is the nearest to -2 in 2, 3/8, 930, -217/41? 3/8 Which is the nearest to -2.8885? (a) 0.2 (b) 626 (c) 3 a What is the closest to 0.3 in -0.29463, -1, 0.1, 2/29? 0.1 What is the closest to 0.4 in 0.1, 11710, -3/2, -0.7? 0.1 What is the nearest to -183 in -243, -11, 1/5, 2, -0.5, 5? -243 Which is the nearest to 0.1? (a) 1/4 (b) -21.47 (c) 1264 a What is the nearest to -249 in 0.08, 38, -5, 3/4, 1? -5 What is the closest to 0 in 0.1, 164, -5/3, -1985? 0.1 Which is the closest to -80? (a) -2 (b) 21 (c) -1/6 (d) 5 a Which is the nearest to 0.1? (a) 20 (b) 3400 (c) 0 c What is the nearest to 1331 in 2/7, 6, 1/3, 20, 0.2? 20 Which is the nearest to 5? (a) -4/19 (b) -2 (c) 0.8 (d) 0.2 (e) -14 c What is the closest to -0.3 in 3, 35, -5, 2/19, -1/4, 95? -1/4 What is the nearest to -1.6 in 1/3212, -3/4, -392? -3/4 Which is the nearest to -0.1? (a) -0.5 (b) -49 (c) 4 (d) 294 a What is the closest to 0.1 in -5, -27/4, -261, -1/10? -1/10 What is the nearest to 147 in -3.24, -1/17, 2/11, -0.05? 2/11 Which is the closest to 16? (a) 0.2 (b) -1/13 (c) -189/16 (d) 0.6 (e) 0.3 d What is the nearest to 0.06 in -1/4, 1/5786, -0.2, 0.9? 1/5786 What is the nearest to 314 in 14, -475.4, 4, 0.3? 14 Which is the closest to 0.1? (a) 46 (b) -280 (c) 17/6 (d) -3 c Which is the closest to 0.436? (a) -5/3 (b) 2/11 (c) 5336 b What is the nearest to -5/2 in -1/5, 1, -4/213, 9? -1/5 Which is the closest to -0.4? (a) 4 (b) -3 (c) 2141 (d) -56 (e) 3 b What is the nearest to 16941 in 2, 1/7, -0.3? 2 Which is the nearest to 2/157? (a) 0.5 (b) -1/408 (c) -111 b What is the nearest to 0.0092 in -76, 3/4, -2? 3/4 Which is the closest to 4? (a) 0.3 (b) -2 (c) -2965 a What is the nearest to -1.1 in -0.4, 6874/795, -4? -0.4 Which is the nearest to -408? (a) -1.074 (b) 0.2 (c) 1 (d) -2/21 (e) -2 e What is the nearest to 2968 in 20, -4, -0.1, 19, -0.5? 20 Which is the nearest to -1? (a) -19.1 (b) 1 (c) -2/3 (d) -36/43 d What is the nearest to 1/14 in -25, 44.65, 0.5? 0.5 Which is the closest to 0.0185? (a) -2/145 (b) -5 (c) 26 a Which is the closest to -1? (a) -16 (b) -1/6 (c) -5 (d) 200 (e) -0.5 e Which is the closest to 2/29? (a) -9 (b) -0.2 (c) -6/11 (d) -4.7 b Which is the nearest to 10? (a) 20 (b) -5 (c) 153958 a What is the nearest to 3/10 in -4, 2/5, 1270012/9? 2/5 Which is the closest to -333? (a) 6 (b) 3 (c) 692 b What is the closest to -1 in 4/3, 5, -96681955? 4/3 What is the nearest to -4 in 8/23, 8/5, 0.084, 2/19, -1? -1 What is the nearest to -0.193 in -0.41363, 1, -0.5? -0.41363 What is the nearest to -9 in 14.32, 1/4, -1/6? -1/6 Which is the nearest to 87? (a) -0.5 (b) 3 (c) 1/48 (d) -3 (e) 0.2 b What is the closest to -0.1 in -5/4, -2.22, 4/11, -7, 0.4? 4/11 What is the nearest to -5 in -2/3, 0.5, -2, 0, 4/105? -2 Which is the nearest to -3/4? (a) 2/11 (b) 0.2 (c) 8/3 (d) -1/57 (e) 0.6 d What is the closest to -5 in 1/30, 0.1, -2, 0.08, -0.5, 40? -2 Which is the nearest to -0.2? (a) 0 (b) 2/11 (c) 5 (d) -107.1 (e) -16 a What is the closest to 1 in -2, 1/274, 35, -0.03, -0.01? 1/274 What is the closest to -2/7 in -1/4, -2/17, 2624, 3? -1/4 Which is the closest to 0? (a) 16 (b) 0 (c) 0.44109 (d) -7 (e) 1/3 b What is the closest to -13 in 18, -1.205, 3, 0.3? -1.205 Which is the closest to -2/21? (a) 3 (b) -0.03 (c) -0.7 (d) -1/2 (e) 6/5 b What is the nearest to -4.5 in 0.4, 27.1, -5? -5 What is the nearest to 4 in 0.08, 0.01, -534, -3, 1? 1 What is the nearest to -12 in -1351, -3, -3/2, -1, -1/3? -3 What is the nearest to -2 in -0.5, -4172, 1/316? -0.5 What is the nearest to -3 in 4, 1/3, -1479/278, 0.3? -1479/278 Which is the closest to 10? (a) -1/2 (b) -19849 (c) 4 (d) 3 c What is the nearest to -1 in 0, 0.034, 106963? 0 Which is the nearest to 2/5? (a) -12 (b) -1640604 (c) 5 c What is the closest to 2/3 in -108, -7/13, -0.2, 2/23? 2/23 Which is the closest to 16? (a) -6 (b) -4 (c) 1/12 (d) 1/7 (e) 4 (f) 232 e What is the nearest to -0.02 in -225, 3, -3.14, 14, 0, 5? 0 Which is the nearest to 0.6? (a) 46 (b) -112 (c) -59 a What is the closest to 1192 in -1/4, -1/2, 1/9, -29, 2/5? 2/5 Which is the closest to -0.408? (a) -4/9 (b) 2/9 (c) -0.9 (d) -99 a Which is the closest to -3.68? (a) -0.5 (b) 5 (c) 10 (d) -5/4 (e) -3 (f) -0.59 e Wha
{ "pile_set_name": "DM Mathematics" }
g*y - 20*y. Let d be (-8)/(-16) - y/2. Solve -d = o - 4 for o. 1 Let v(m) = 2*m**2 - 21*m + 30. Let d(z) = z**2 - 10*z + 15. Let t(j) = 11*d(j) - 6*v(j). Let i be t(15). Solve i*g = -5*g + 5 for g. 1 Suppose 2*r = 8*r. Let t(i) = i + 5. Let v be t(r). Solve 0 = -5*w - v for w. -1 Suppose 6*u = 10*u - 4. Let q be u*((0 - -1) + 3). Solve 2*g - 8 = q*g for g. -4 Let w(o) = -o**3 - 4*o**2 - o + 1. Let i be 1/(-4) - 240/64. Let n be w(i). Solve -n*p + 16 = -p for p. 4 Let b(p) = -7*p + 42. Let o be b(6). Solve 9*g = -o*g for g. 0 Let i(r) = r**3 - 2*r**2 + 2*r. Let s be i(2). Suppose -2*c - 14 = s*p - 0*c, 3*p = -4*c - 8. Let j be p/((-3 - -5)/(-1)). Solve 0*x = -j*x - 6 for x. -3 Let j be (-91)/65 + 4/10 - -14. Solve 10*b - j*b + 6 = 0 for b. 2 Let d(x) = 13*x - 126. Let y be d(10). Solve 0 = -6*u - y*u + 20 for u. 2 Suppose -54 = 10*v - 154. Solve -v*p = -9*p for p. 0 Let c = -21 - 0. Let b = c + 24. Solve 7 - b = r for r. 4 Suppose -h = -5*w - 5, 3*h - 3*w + 2 = 5. Solve -5*t - 4 - 1 = h for t. -1 Let j be (-1 + 0/(-2))*(6 + -9). Suppose -2*l - 4*o - 5 = 7, -20 = 5*o. Solve -l = j*k + 7 for k. -3 Suppose 0 = 5*q + 9*i - 11*i - 1218, -4*q + 4*i = -984. Solve 239*s = q*s for s. 0 Suppose -2*b + 246 = -5*x, 4*b - 108 = 2*x - 0*b. Let t be (-4)/(-6) - x/9. Let r be (-1)/t - (-122)/12. Solve -z + r = z for z. 5 Suppose -w = -3*l + 70, -8*w = -5*w + 3. Solve 42 = l*f - 9*f for f. 3 Suppose -2*g - 2*v + 15 = 3*g, -2*g - 15 = 5*v. Solve -g*f - 8 = -9*f for f. 2 Suppose 5*u + 36 = 136. Let t = u - 14. Let h(s) = s**2 - 3*s - 5. Let z be h(t). Solve -z = -5*f + 2 for f. 3 Let z(q) = q**3 - 4*q**2 - 10*q - 12. Let u be z(6). Solve l + 3 - 4 = u for l. 1 Suppose 0 = -4*f + 3*o - 7, -4*f - f + 35 = 5*o. Let k be f - -8 - (0 - -4). Suppose 2*m - 4*y - 24 = 0, -4*y - 7 = -m + 13. Solve -2*a + m*a = k for a. 3 Let j = 569 + -516. Solve 11*g + 9 = j for g. 4 Suppose 0 = -0*h - 4*h - h. Solve h = 65*i - 72*i + 35 for i. 5 Suppose 0 = 3*l - 5 - 4. Suppose -4*r - 36 = -4*j, -4*r = 3*j + 4 - l. Let q(g) = -g**3 - 4*g**2 + 2. Let i be q(r). Solve -i*h - 8 = 2*h for h. -2 Let s(f) = -f - 4. Let z = 8 + -12. Let c be s(z). Suppose -2*p - 2*p = 3*m + 12, 2*m + 8 = c. Solve p = -4*x + 17 - 1 for x. 4 Let h(o) = -2*o - 3. Let g be h(-3). Suppose 28 = 5*i + 2*j, -2*i + 6*j - 8*j = -10. Solve -i*u = -g*u for u. 0 Let m(h) = 3*h. Let z be m(1). Suppose z*q + 0 + 3 = 5*c, -2*q - c = 15. Let u be (-48)/(-27) - q/27. Solve -f + u*f = 5 for f. 5 Let p = -28 - -30. Solve p*a = -a - 15 for a. -5 Let c(f) = f - 2. Let b be c(8). Suppose 326*t - 7 = -d + 325*t, -d - 5*t = -19. Solve -d*s + 6*s + b = 0 for s. -3 Let w = -12 + 20. Suppose 0 = 3*d + 4*y + 11, -2*d - 4*y = 6 + w. Suppose 2*i + d*i = 20. Solve -p = i - 3 for p. -1 Let x be -3*((-21)/(-9))/(-1). Suppose x*a = 5*a. Suppose a = -p + 6*p - 20. Solve 5*t + 6 = -p for t. -2 Suppose -w = -6*w - 15. Let n be (-17)/w + (-2)/3. Suppose 0 = 4*o - 3*g + 7, -2*o - 5*g + 21 = -4*o. Solve o*u = u + n for u. 5 Let h = 319 + -313. Solve 3*i + 3 = h for i. 1 Suppose -3*b - 11 = 3*a + 148, 0 = 4*b + 3*a + 212. Let d = b - -55. Solve -d*f = -6*f for f. 0 Let n(u) = u**2 - 9*u + 14. Let i be n(9). Suppose 5*z = 74 - i. Suppose -4*g = -z - 0. Solve g*v = 5*v for v. 0 Let m = -37 + 31. Let w be 45/54 - (13/m + 2). Suppose -2*b + 6*b = 12. Solve -2*i + w = -b*i for i. -1 Let p(g) = -g**2 + 8*g - 11. Let i be p(10). Suppose -4*a - 114 = 5*y, -18 = a - 5*y + y. Let s = a - i. Solve 11 = -s*z + 1 for z. -2 Let b(j) = -j**3 + 12*j**2 - 2*j + 45. Let c be b(11). Let l = c - 141. Suppose 5*w + d = -0*d + 21, -2*w = 3*d + 2. Solve l*h = w*h for h. 0 Let t(w) = -w**2 + 14*w - 27. Let k be t(8). Solve k*u - 26*u = 25 for u. -5 Let y = -314 + 314. Solve y = 3*j - 7*j for j. 0 Suppose 5*b + 2*z - 76 - 30 = 0, b - 20 = -z. Solve -b = x - 26 for x. 4 Let g be (-64)/(1 + -1 + (-2)/1). Suppose 4*j + 0*f = -4*f + g, f = 4*j - 42. Solve 0 = -4*n + j + 10 for n. 5 Let x = 1952 + -1944. Solve x = -0*p + 2*p for p. 4 Let f be (-4)/8 + 5/2. Suppose -5*y - 55 = -5*r, -28 = 3*y - 0*y + f*r. Let j be (-116)/(-20) + (-2)/y. Solve 0 = v - 3*v - j for v. -3 Let q = 1 + 2. Suppose -q*b + 36 = b. Let r be (-18)/(-4)*6/b. Solve 0 = -d - r*d + 4 for d. 1 Let i(b) = -b**2 + 24*b - 101. Let d be i(16). Solve 22*q - 5 = -d for q. -1 Let u(y) = y**3 - 11*y**2 - 32*y + 93. Let o be u(13). Solve 10*t = o*t - 10 for t. 2 Let x = 5 - 2. Suppose -m + 5 = -2*q, 0 = -x*q - 0*q - 5*m + 25. Let y be (3 + q)/((-3)/(-6)). Solve y*b = b for b. 0 Let v = -14 - -7. Let q(m) = -3*m - 1. Let c be q(v). Suppose -5*g - 5 = -c. Solve g*i - 5 = 4*i for i. -5 Let h be (-24)/16*32/(-6). Solve 0 = -h*k - 2 + 10 for k. 1 Suppose 3*c + 3*n = -6, 0 = 4*c - 4*n - n - 37. Let f = 9 - c. Suppose -26 = -5*y + 3*o, 2*y + f*o + 2 = o. Solve y*g = -g for g. 0 Suppose -3 + 10 = -v. Let w(n) = -n**2 - 9*n - 6. Let l be w(v). Solve -4*k + 8 = -l for k. 4 Let c be ((-92)/(-138))/((-4)/(-174)). Solve c*r - 30*r + 3 = 0 for r. 3 Let f(w) = -w**3 + 12*w**2 + w - 8. Let d be f(12). Suppose 2*o = -o - a - 8, -10 = d*o + 2*a. Let h be o/(1 + 6/(-5)). Solve -h = 2*t + t for t. -5 Let s(i) = -i**2 - 6*i - 6. Suppose 4*k + 9 = -3. Let t be s(k). Solve -2*p + t*p - 3 = 0 for p. 3 Let w(l) = 2*l + 9. Let a be w(-7). Let f(p) = p**2 + 5*p. Let x be f(a). Let g(n) = n**2 + 5*n - 6. Let k be g(-6). Solve -s - 1 + k = x for s. -1 Let y be 445/25 - (-2)/10. Solve -6 = 4*v - y for v. 3 Let u(y) = -12*y. Let a be u(-1). Let d = a - 6. Solve 3*b = d*b for b. 0 Let j = -102 - -104. Solve 0 = j*h + 6*h - 8 for h. 1 Let t(k) = 2*k**2 + 26*k + 15. Let h be t(-13). Solve q - h = -18 for q. -3 Let m(h) = -h**3 + 10*h**2 + 14*h - 17. Let l be m(11). Solve 3*b - l = -b for b. 4 Suppose -2*p + 8 = 4*j - 0, 4*p = 5*j + 42. Suppose d - p = -v, -12 = -4*d + v - 0*v. Let a be 8/(-4)*(-10)/4. Solve -a*x = -6 - d for x. 2 Let s be 20/6 + -3 - 33/(-9). Suppose t - x = -s*x + 13, -2*t + 5 = -x. Solve 0 = -5*m - t + 19 for m. 3 Suppose 2*b + 3*d + 6 + 6 = 0, 5*b + 4 = -d. Suppose b = 2*q + 7 - 1. Let f be (-9)/(q + 0)*1. Solve f = 5*k - 7 for k. 2 Let f = -266 + 267. Solve -2*y + f = -9 for y. 5 Suppose 0*r + 3*r = 9. Suppose -4*s = -16, -6*v + v + 5*s + 15 = 0. Suppose -14 = -c + v. Solve -r*h + 6 = c for h. -5 Let c be 3*(-6)/135 - (-548)/60. Let a be 1 + (-15)/9 + 51/c. Solve -a*x - 2 = 18 for x. -4 Let t(d) = d**2 - 21*d + 82. Let a be t(5). Solve 0 = -a*m + 20 - 26 for m. -3 Suppose -2*q + 75 = -7*q - 4*l, -l = 2*q + 30. Let n = q - -22. Solve n*v - 3*v + 4 = 0 for v. -1 Let g(i) = -i**3 + 5*i**2 + 26*i - 17. Let o be g(6). Solve 39 - o = -16*p for p. 4 Suppose 7*t - 6*t = 2. Suppose t*j = -j. Suppose -3*y + j*y = 9, 5*p - 5*y = 115. Solve -h - p = 4*h for h. -4 Let j = 1 + 4. Let u(o) = -5*o - 28. Let t be u(-7). Solve 2 - t = j*s for s. -1 Suppose 5*i - 3*i = 6. Suppose 3*w = -8 - 4, n = -5*w + 6. Suppose 0*v = 3*g + 4*v - n, -2*g + 3*v - 11 = 0. Solve g*f + 1 = i*f for f. 1 Suppose 17*p - 31 - 3 = 0. Solve 15 = -g - p*g for g. -5 Let h = 7 + -3. Suppose -1 = -m + h*u, -5*u + 4*u = 2*m - 2. Let y = 2 - m. Solve -4*k - 5 = -y for k. -1 Suppose -142*f = -136*f - 42. Solve f*y + 20 = -3*y for y. -2 Let o = 28 - 28. Let v be (-4)/8*(-1 - -1). Solve 2*a + o*a - 2 = v for a. 1 Let z be (-1)/10*-1 - (-590)/100. Let f be (2 - 4) + -1 + 0. Let q be 2 + f/6*-4. Solve q*s + z = -6 for s. -3 Suppose -4*k + 3*j + 35 = 0, 3*j + 22 = 3*k - 8. Suppose -c = 2*b + 1, k*b - 5*c - 1 = 34. Solve 4 = -2*z + b for z. -1 Let m be 16 + (-11 + 12 - 12). Let l = -15 - -41. Suppose -3*h + l = -h. Solve 0 = -m*r - 2 - h for r. -3 Let x = 227 + -225. Solve i - x*i + 2 = 0 for i. 2 Suppose -437*b - 9 = -438*b. Solve -30 + 3 = b*z for z. -3 Let v(g) be the third derivative of g**6/120 + g**5/30 - g**4/8 + g**3/2 - 7*g**2. Let m be v(-3). Solve -m*x = -8*x + 15 for x. 3 Let b(j) = -4*j + 0*j - 2*j**2 - 7*j + 2*j + 5. Let l be b(-7). Let h be (-5)/(l/(-8))*-3. Solve h*g - 1 = 11 for g. 3 Let h(l) = l**3 - 2*l**2 - 34*l + 20. Let v be h(7). Solve -4*m = v - 19 for m. -2 Let g(b) = 29*b - 313. Let w be g(11). Solve 0 = w*j + 1 + 5 for j. -1 Suppose -a = 2, 6*a = g + 4*a - 2. Suppose -11*x - 126 = -25*x. Let o be g/9 - (-20)/x. Solve -b = o + 3 for b. -5 Let j be 0/(((-2)/(-4
{ "pile_set_name": "DM Mathematics" }
prob of picking 4 w when four letters picked without replacement from {w: 5, p: 7}? 1/99 Three letters picked without replacement from godqgololofoolf. What is prob of picking 1 g, 1 d, and 1 l? 6/455 Three letters picked without replacement from wodbogbowgggogbgow. What is prob of picking 2 w and 1 o? 5/272 Two letters picked without replacement from {e: 5, t: 5, w: 3, k: 2}. What is prob of picking 2 k? 1/105 Calculate prob of picking 1 e and 1 k when two letters picked without replacement from ebqbekb. 2/21 Three letters picked without replacement from {k: 2, h: 4, f: 3, b: 1, v: 4, a: 3}. What is prob of picking 1 k, 1 f, and 1 v? 3/85 Calculate prob of picking 1 h and 1 s when two letters picked without replacement from wxhks. 1/10 What is prob of picking 1 e and 1 p when two letters picked without replacement from {g: 3, p: 3, r: 2, e: 5}? 5/26 What is prob of picking 1 h, 1 l, and 1 c when three letters picked without replacement from {c: 3, l: 1, f: 4, u: 2, h: 7}? 21/680 Three letters picked without replacement from wwutwutwwooo. What is prob of picking 1 t and 2 w? 1/11 Calculate prob of picking 1 q, 1 e, 1 t, and 1 w when four letters picked without replacement from qqweqveqwwtvqqwwqve. 35/1292 Four letters picked without replacement from {i: 4, y: 1, v: 3}. Give prob of picking 1 y, 1 i, and 2 v. 6/35 Calculate prob of picking 2 v and 1 i when three letters picked without replacement from vvziezzzieviiv. 6/91 Four letters picked without replacement from {o: 5, h: 13}. What is prob of picking 1 o and 3 h? 143/306 Three letters picked without replacement from {a: 5, s: 3, l: 5, b: 2}. What is prob of picking 3 l? 2/91 What is prob of picking 1 x and 2 d when three letters picked without replacement from {x: 1, c: 1, d: 4, e: 1, q: 1, u: 8}? 3/280 What is prob of picking 1 p and 2 v when three letters picked without replacement from {v: 9, p: 7}? 9/20 What is prob of picking 1 o, 1 l, and 2 v when four letters picked without replacement from nvlvo? 1/5 What is prob of picking 2 t and 2 u when four letters picked without replacement from uttutttuututuuututt? 135/323 What is prob of picking 1 p and 1 j when two letters picked without replacement from {y: 3, f: 1, j: 1, p: 2}? 2/21 Three letters picked without replacement from {e: 1, n: 11}. What is prob of picking 2 n and 1 e? 1/4 Two letters picked without replacement from hhhhhh. What is prob of picking 2 h? 1 Calculate prob of picking 2 g when two letters picked without replacement from gguppguppug. 6/55 What is prob of picking 1 l, 2 q, and 1 r when four letters picked without replacement from qflfrrqrrfrrl? 12/715 Three letters picked without replacement from lbbllllblbaaylbl. What is prob of picking 1 a, 1 l, and 1 b? 1/7 Two letters picked without replacement from {i: 7, g: 4, d: 2}. What is prob of picking 1 i and 1 d? 7/39 Two letters picked without replacement from {x: 5, a: 4, j: 3, p: 4}. What is prob of picking 2 a? 1/20 What is prob of picking 1 e and 2 v when three letters picked without replacement from {e: 5, v: 11}? 55/112 Calculate prob of picking 2 w when two letters picked without replacement from weetw. 1/10 What is prob of picking 2 d when two letters picked without replacement from {u: 2, d: 2}? 1/6 What is prob of picking 2 m when two letters picked without replacement from {b: 3, m: 12}? 22/35 Three letters picked without replacement from {x: 2, p: 16}. Give prob of picking 1 x and 2 p. 5/17 Calculate prob of picking 1 q and 1 y when two letters picked without replacement from dyqkr. 1/10 Calculate prob of picking 1 x and 1 k when two letters picked without replacement from oxkykxsxskk. 12/55 Calculate prob of picking 1 x and 1 w when two letters picked without replacement from {x: 2, g: 2, w: 2, f: 2}. 1/7 Two letters picked without replacement from {k: 9, v: 9}. What is prob of picking 2 v? 4/17 What is prob of picking 2 t when two letters picked without replacement from pttpeeptlepplplple? 1/51 Four letters picked without replacement from ooddoddooodddo. Give prob of picking 4 d. 5/143 Two letters picked without replacement from {x: 13, t: 6}. Give prob of picking 1 t and 1 x. 26/57 What is prob of picking 2 v when two letters picked without replacement from {v: 4, b: 16}? 3/95 Two letters picked without replacement from dvdptttpdtvvdtv. Give prob of picking 1 d and 1 p. 8/105 Calculate prob of picking 2 u when two letters picked without replacement from kemuamamukimkk. 1/91 Calculate prob of picking 1 w and 1 b when two letters picked without replacement from bwk. 1/3 What is prob of picking 3 x and 1 q when four letters picked without replacement from xxxxxxxxqxxx? 1/3 Four letters picked without replacement from iiiuiiciiiiiiuc. What is prob of picking 4 c? 0 Three letters picked without replacement from {u: 4, g: 4, x: 2, w: 2}. What is prob of picking 1 u and 2 w? 1/55 Calculate prob of picking 1 r, 1 b, and 1 x when three letters picked without replacement from {r: 1, x: 1, b: 2}. 1/2 Four letters picked without replacement from kkkkkkkakkqakkqkq. Give prob of picking 1 q, 2 k, and 1 a. 99/595 Calculate prob of picking 2 z when two letters picked without replacement from zvzzv. 3/10 Calculate prob of picking 2 d and 1 n when three letters picked without replacement from {h: 1, n: 2, d: 4, y: 1}. 3/14 Three letters picked without replacement from {b: 7}. What is prob of picking 3 b? 1 What is prob of picking 2 o when two letters picked without replacement from doomdld? 1/21 Two letters picked without replacement from kbbbsskbkrbssrkrrsrk. Give prob of picking 1 s and 1 b. 5/38 Four letters picked without replacement from {k: 4, d: 2, y: 3, t: 1}. What is prob of picking 3 y and 1 k? 2/105 Two letters picked without replacement from {l: 1, y: 1, d: 3, e: 3, m: 1, v: 2}. What is prob of picking 1 l and 1 d? 3/55 Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {p: 1, e: 1, l: 5, a: 5}. 5/66 What is prob of picking 2 b, 1 a, and 1 v when four letters picked without replacement from {d: 1, v: 6, b: 3, a: 2, s: 6}? 1/85 Two letters picked without replacement from asastsystsesyesatea. Give prob of picking 2 t. 1/57 What is prob of picking 2 u when two letters picked without replacement from spaseussesssusess? 1/136 Two letters picked without replacement from {v: 5, b: 14}. What is prob of picking 2 v? 10/171 Two letters picked without replacement from {g: 5, x: 1, c: 7, d: 1, w: 1, r: 5}. Give prob of picking 1 c and 1 g. 7/38 What is prob of picking 2 j, 1 s, and 1 x when four letters picked without replacement from {j: 3, x: 9, s: 2, v: 3, c: 1}? 3/170 What is prob of picking 2 j and 2 i when four letters picked without replacement from jiijiijjijijiijjij? 36/85 Two letters picked without replacement from {n: 3, s: 1, a: 4, r: 2}. What is prob of picking 1 n and 1 r? 2/15 Two letters picked without replacement from pbbjgbjbjjjbbb. Give prob of picking 1 b and 1 g. 1/13 Two letters picked without replacement from zozzpzzzzp. Give prob of picking 1 o and 1 p. 2/45 Four letters picked without replacement from {l: 3, k: 2, z: 1, x: 8, w: 1, n: 1}. Give prob of picking 1 l, 1 x, 1 k, and 1 z. 12/455 Two letters picked without replacement from vhxyyyxhyyxv. Give prob of picking 1 x and 1 h. 1/11 Calculate prob of picking 2 z when two letters picked without replacement from pppzpzp. 1/21 Four letters picked without replacement from ldelehllqlllltl. Give prob of picking 1 t, 2 l, and 1 d. 12/455 Calculate prob of picking 1 s and 2 r when three letters picked without replacement from srrsssssrs. 7/40 Calculate prob of picking 3 y and 1 k when four letters picked without replacement from ykykykyt. 6/35 What is prob of picking 2 x when two letters picked without replacement from ujuujzuuuzcxxulux? 3/136 Calculate prob of picking 2 y, 1 t, and 1 l when four letters picked without replacement from lyhhhbvbhbyhhyt. 1/455 Calculate prob of picking 2 f when two letters picked without replacement from iiff. 1/6 Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {r: 2, p: 2, s: 7}. 4/55 Two letters picked without replacement from {w: 4, v: 3, e: 2, z: 1}. Give prob of picking 1 v and 1 e. 2/15 Ca
{ "pile_set_name": "DM Mathematics" }
*(-2)/56. Sort 5, w, -4, 2, -17 in decreasing order. w, 5, 2, -4, -17 Let s = 427/2335 + 8/467. Put s, 3, -0.2, -95 in ascending order. -95, -0.2, s, 3 Let l = -583 - -588. Suppose 4*g - 5*c = 6, 9*g + c - 18 = l*g. Sort 3, g, -5. -5, 3, g Suppose -9*i + 11 = -4*t - 12*i, 5*t - 3*i = -7. Let j be (-9*3/(-9))/(-1*1). Put -1/12, j, t in decreasing order. -1/12, t, j Let c = -10012.6 - -10013. Put -199.8, -1/5, c in descending order. c, -1/5, -199.8 Let d be -12 - -17 - 7 - (-12)/7. Put 0.14, d, -2/31 in ascending order. d, -2/31, 0.14 Let c(r) = -r**2 + 13*r - 32. Suppose 0 = -4*o - 3*z + 49, -5*o - 2*z + 46 = -o. Let u be c(o). Sort u, -19, 2. -19, u, 2 Let b = -130.6 + 132. Sort b, 1, -7 in increasing order. -7, 1, b Let t = 7 + -129.5. Let n = 123 + t. Let i = 1 + -2. Sort n, -3/2, i in increasing order. -3/2, i, n Let o be (-16)/(-10) + 6/(-15). Let g = -8591 - -8590. Sort -0.4, o, g. g, -0.4, o Let i = -99.79 - -99.69. Put 5, i, -0.3, 0.2, -73 in decreasing order. 5, 0.2, i, -0.3, -73 Suppose 20 = 3*m - 4*n, 19*n - 10 = -5*m + 14*n. Sort -0.08, 2, m, 1, -3 in descending order. m, 2, 1, -0.08, -3 Suppose r + 4*v - 24 = 0, 2*r - 8*v = -3*v + 9. Let g be (-1)/(-2*((-50)/r - -4)). Let m = 2/453 + -1363/906. Sort -12, m, g in descending order. m, g, -12 Let m = 0.1 + -0.4. Let n = -9 + 33. Let u = 28 - n. Sort 1, m, u in ascending order. m, 1, u Let c = 4.818 + -4.318. Sort 2/15, c, 12/5. 2/15, c, 12/5 Let a be ((-29)/(-203))/(3/21)*-1. Sort a, -865, -2. -865, -2, a Let m = 1864 + -1859. Put 2, 8, -6, m, 4 in decreasing order. 8, m, 4, 2, -6 Let k = 33 - 31. Suppose -4*a - 12 = t, k*t - 18 = 3*a + 2. Let b = -0.02 - 0.98. Sort -0.5, -3/8, b, t in descending order. t, -3/8, -0.5, b Suppose 85*o + 18920 = -43*o - 5656. Sort -2, o, 19 in ascending order. o, -2, 19 Let q = 20879.5 - 20880. Sort 0.4, -7, -1/3, q, 0.1 in ascending order. -7, q, -1/3, 0.1, 0.4 Let n be (225/(-10))/(-5)*(-20)/30. Let k be ((-1)/2)/(2/(-20)). Suppose -h - 4 = -1, 0 = -d + h - 2. Sort n, k, d in decreasing order. k, n, d Let z be (10/6)/((-320)/768). Suppose -4*v - 749 = -4*s - 5*v, -2*s - 2*v + 376 = 0. Sort 1, s, -2, z in descending order. s, 1, -2, z Suppose 0 = 2*k + 1 - 5. Let n be (-1*2)/((-2)/11). Let c be (-5 + -1)/(-4 + (n - 9)). Sort 1, k, c in descending order. c, k, 1 Let t(b) = b**3 - 19*b**2 + 6*b - 112. Let a be t(19). Let l be a + (-7)/((-35)/(-30)). Put -72, 4, l in ascending order. -72, l, 4 Suppose d - 236 = -3*m, 1204 = 5*d + 13*m - 10*m. Let b = d - 1212/5. Put b, 14, -5 in decreasing order. 14, b, -5 Suppose o + o = 12. Suppose -10*u = -o*u + 12. Suppose 0 = -4*z + 26 - 6. Sort 1, u, z in descending order. z, 1, u Suppose -7683*s + 7675*s + 64 = 0. Sort 16, s, 5 in increasing order. 5, s, 16 Let z = 1395.9 + -1285. Let a = 111 - z. Let p = 14/45 + -1/9. Put 5, p, a in increasing order. a, p, 5 Let i be (1/1 - 273/28)/(590/(-2832)). Sort 2, -15, i, 4 in decreasing order. i, 4, 2, -15 Let i(r) = -r**3 + 7*r**2 - 5*r - 8. Let t be i(6). Let f(h) = h**3 + 13*h**2 + 43*h + 30. Let k be f(-8). Put 1, k, -4, t in decreasing order. k, 1, t, -4 Suppose -r + r = 2*r. Suppose 7*t - 5*t = 0, r = 5*o + 3*t - 25. Suppose -2*c + k = -0*c - 45, -4*c + 97 = 5*k. Sort c, o, 3. 3, o, c Let j = 44 - 22. Let a = j - 26. Let w be a/14 + (-192)/112. Sort w, 1, 4. w, 1, 4 Let i = 46 - 45. Let q = -390/11 + 5861/165. Sort 2, i, q in ascending order. q, i, 2 Let w = 8051 - 8055. Let a be 0 - 2 - (-264)/143. Sort w, 0.5, 0, a in descending order. 0.5, 0, a, w Let c = 3/89 + 61/3471. Let g = 0.201 + -0.001. Sort 0.3, g, 1, c in decreasing order. 1, 0.3, g, c Let i = 3 - 3. Suppose 38*y - 6*b = 37*y + 40, 2*b = -3*y - 20. Sort y, -1.2, 0.5, i in increasing order. y, -1.2, i, 0.5 Let g = 1142/119 + -168/17. Let r = 51 + -54. Put 1, g, 7/2, r in increasing order. r, g, 1, 7/2 Let u = -152.3 + 145. Let l = 7 + u. Let z = 101690 + -101682. Sort z, l, 5. l, 5, z Suppose -3*a + 86 - 56 = 5*k, 3*k - 82 = 11*a. Put 4, -38, 0.3, 9, a in decreasing order. 9, 4, 0.3, a, -38 Let h = -83550/11 - -7595. Put -0.5, 12, h in descending order. 12, h, -0.5 Let m be (-2 + 1 + 2)/1. Let u = 38754 + -38749. Sort -4, u, m in descending order. u, m, -4 Suppose 3*a + 4 = 1. Let j = -327 + 328. Put j, a, -19, 2 in descending order. 2, j, a, -19 Let c(x) = x - 5. Let f be c(6). Let j be ((f - 4) + -2 - -3) + 3. Suppose 0 = p + 2*l + 5, -4*p - 14 = 2*l + 36. Sort -3, j, p in decreasing order. j, -3, p Let q = -306 - -296. Sort 5, 41, q in descending order. 41, 5, q Let j(q) = -13*q**2 + 199*q + 121. Let x be j(15). Put x, 24, 3 in increasing order. 3, 24, x Let j = -227 - -223. Let o be (203/21 + -9)/(1/(-3)). Sort -5, -7, o, j in increasing order. -7, -5, j, o Let m = -72 - -76. Suppose 0 = n - m, 3*n + 6 = -3*d + 3. Suppose 0 = -2*g - 2*x + 12, 5*x = 3*x + 10. Put d, 3, g in decreasing order. 3, g, d Let i = -0.11 + -3.89. Let u = -4.91 + 4.02. Let z = u + -0.11. Sort z, 1, 4, i. i, z, 1, 4 Let d = -407 + 410. Let i(z) = z**3 - 4*z**2 + 3*z - 1. Let v be i(d). Let j = -9.8 - -10. Put -0.1, v, 0, j in increasing order. v, -0.1, 0, j Let i = 112 - 114. Suppose 635 = -7*p + 187. Let n be (1/(8/6))/(16/p). Put 5, -1, i, n in ascending order. n, i, -1, 5 Let q(v) = -v**2 - 3*v + 1. Let b be q(-3). Let z(m) = 2*m - 14. Let a be z(7). Let t = 110 + -109.7. Sort t, 6/11, a, b. a, t, 6/11, b Let s = -26 + -101. Let y = s + 133. Sort -6, 1, y. -6, 1, y Let u = 22 + 21. Let y = 41 - u. Let h be 5*(-3 + 165/50). Sort -0.2, y, h in ascending order. y, -0.2, h Let z = 13/11 + -15/11. Sort -1, -3.72, z in decreasing order. z, -1, -3.72 Let h = 21.62 + -25. Let t = h + 6.24. Let c = t + 0.14. Put 1, c, -2/11 in increasing order. -2/11, 1, c Let b = -5 - -8. Let q = -34911.5 + 34912. Put -6, -2, q, b in increasing order. -6, -2, q, b Let w(z) = z**3 - 36*z**2 - 39*z + 70. Let h = 38 + -1. Let o be w(h). Put 1, o, 4, -11 in ascending order. -11, o, 1, 4 Let x = 1654 + -1673. Put 2/5, -0.5, x, 6/11 in decreasing order. 6/11, 2/5, -0.5, x Suppose -4*x - 13 = -3*b - 2*x, -4*x + 7 = 5*b. Let v = -450/121 + 1108/363. Put v, -3.2, b in decreasing order. b, v, -3.2 Let g = -0.7 - 1.3. Let t = -0.3 + 0.4. Let m = 0.076665 + -0.016665. Put g, t, m, 1/5 in descending order. 1/5, t, m, g Let u = 39.3 + -39.28. Let l = -13.6 + 15.6. Sort l, u, 2/13 in ascending order. u, 2/13, l Let o = -3.8203 + -70.1797. Sort 2/17, o, -5, 11/8 in decreasing order. 11/8, 2/17, -5, o Let u(k) = k**3 + 10*k**2 - 11*k + 7. Let a be u(-11). Let r = -9.938 - -9.968. Put a, 2/9, r, -5 in ascending order. -5, r, 2/9, a Let z = -15 + 82. Let w = z - 114. Let y be 12/(-20) + 28*3/15. Sort 0, y, w in ascending order. w, 0, y Let g = -1987 + 1982. Put -2, 1, g, -756 in descending order. 1, -2, g, -756 Let z(v) = 10*v - 81. Let b be z(9). Let t(u) = 2*u**2 - 18*u - 5. Let y be t(b). Sort y, 3, -0.07 in increasing order. y, -0.07, 3 Suppose -4*x = -5*u - 7, -2*u + 15*x = 11*x - 2. Sort u, -304, 2 in decreasing order. 2, u, -304 Let o = 22.42 + -0.22. Let u = o - 22.5. Sort -23, -2/15, 1/3, u in descending order. 1/3, -2/15, u, -23 Let b = -14207/63 - -1577/7. Sort b, -3, 2/9, 38, 2. -3, b, 2/9, 2, 38 Suppose 2*z + z = 0. Suppose -v - 3*c = -3*v - 4, 0 = v - c + 2. Let b(t) = -t**3 + t**2 + 3*t - 4. Let k be b(-2). Sort v, z, 3, k in ascending order. v, z, k, 3 Let x = 22848.9 - 22849. Sort -0.2, -11, -0.4, x, 0.36 in ascending order. -11, -0.4, -0.2, x, 0.36 Let r = 1 + 3. Let v = 411.38 - 410.98. Sort r, -0.05, v. -0.05, v, r Let s be -22 - (11868/(-1376) + (-6)/16). Put s, 5, 3, -5, -2 in descending order. 5, 3, -2, -5, s Let a = -179.8 + -33.2. Let m = -210 - a. Put 7, -0.1, m in decreasing order. 7, m, -0.1 Let x = -444 + 444. Suppose 0 = -4*j - 3*c + 28, j + 3*c = -5 + 21. Let u be -1 + 2 + (j - 0). Sort x, 13, u. x, u, 13 Let d = 38.02 - 61.02. Put d, -0.2, 1, -2 in increasing order. d, -2, -0.2, 1 Let r(q) = -6*q - 9. Let p be r(10). Suppose 1111*l + 145 = 1082*l. Sort l, 2, p in increasing order. p, l, 2 Let d(a) = -a**3 + 9*a**2 - a + 5. Let x be d(9). Suppose 143 = -177*h + 188*h. Sort x, h, 2, 5 in ascending order. x, 2, 5, h Let v be (-23)/(-2) - (125 - 111). Put 3, 2, v, -8 in descending order. 3, 2, v, -8 Let w be 2/7 - (-72)/42. Suppose -6*q
{ "pile_set_name": "DM Mathematics" }
- 6. Let v(w) = -8*w + 7. Let i(n) = 7*t(n) + 6*v(n). Determine i(-1). 6 Suppose 5*c = 4*c - 5, -3*c - 13 = -2*y. Let s(o) be the first derivative of -3*o**3 - o**2 - o - 1. Give s(y). -8 Let t(h) = -9*h**2 + 1. Let q be ((-64)/24)/(2/(-3)). Let n = -5 + q. Give t(n). -8 Let j(f) = 3*f + 4*f + 5*f**2 - 4*f - 4*f**2. Let l be j(-4). Let p(k) = -k**2 + 6*k - 4. Determine p(l). 4 Suppose 3*m = 2 + 4. Let l = 1 - m. Let g(t) = -2*t**3 + 1 + 0*t**3 - 5*t**3 + 3*t**3. Determine g(l). 5 Let d(c) = -c**3 - 5*c**2 + 4*c - 6. Suppose 6*x + 30 + 6 = 0. Determine d(x). 6 Let k(t) = t**3 - 2*t**2 + 3*t. Suppose -4*y - 4*f = -y - 6, -4*y - 2*f = -8. Suppose 2*a = 5*a, a + y = r. What is k(r)? 6 Let h(p) be the third derivative of -1/6*p**3 + 0 + 3*p**2 + 0*p - 1/120*p**6 - 1/60*p**5 + 1/24*p**4. Calculate h(-2). 1 Let w(f) be the second derivative of -f**4/12 + f**3/6 + 5*f**2/2 + 21*f. Determine w(4). -7 Let k(v) = v**2 - 4*v + 2. Let t = 29 - 14. Let d = 17 - t. Determine k(d). -2 Suppose 0*k - k - 3 = -2*u, -3*u = 6. Let t(p) = -13*p + 7. Let z(h) = -19*h + 10. Let d(i) = k*t(i) + 5*z(i). Give d(-1). 5 Let u(k) be the first derivative of 5/3*k**3 + k + 1/4*k**4 + 2 + 1/2*k**2. Suppose 2*t = -5*l + 15, t - 2*t + 5*l = 30. What is u(t)? -4 Suppose -6 = -4*u + 10. Let m(p) = 7*p**2 - 14*p + 2. Let l(h) = 3*h**2 - 7*h + 1. Let o(w) = u*m(w) - 9*l(w). Determine o(-5). -11 Let q(f) = 2*f**2 - 3*f**2 - 2 - 61*f + 67*f. Calculate q(4). 6 Let w(f) = -9*f**3 - 3 + 8*f**2 + 6 - f**3 + 11*f**3 + 9*f. What is w(-7)? -11 Let d be ((-12)/(-18))/(2/33). Suppose 4 + d = 3*f. Let n be -1*f + (-2)/(-1). Let q(b) = b - 4. Calculate q(n). -7 Suppose 8 = -f - 2*b, 2*f - 3*b = -0*f + 19. Let c(k) = 0 + 11*k**2 - k - 12*k**2 - f. Determine c(0). -2 Let n(s) = -s**3 + 2*s**2 + 4. Let m = 1 + 1. Suppose 3*t - 3 = m*t. What is n(t)? -5 Let z(l) be the second derivative of -l**4/12 - 2*l**3/3 - 5*l**2/2 - 19*l. Determine z(-4). -5 Let o(x) = 4*x. Let y = 1 + 1. Let l(q) = 3*q + q - y*q. Let b be l(-1). Determine o(b). -8 Let r = 29 + -29. Let o(y) be the third derivative of r*y + 1/30*y**5 + 1/3*y**3 + 0 + 1/12*y**4 + 2*y**2. Calculate o(-2). 6 Let u(c) be the second derivative of c**5/20 + 2*c**4/3 + 3*c**3/2 + 9*c**2/2 + 10*c. Determine u(-7). -5 Let c(m) be the second derivative of m**3/6 - m**2 - m. Give c(5). 3 Let f(n) = -n**2 + 6*n - 3. Let c be (17/(-3))/((-8)/24). Let x = c + -8. Let p = -5 + x. Give f(p). 5 Let n(y) be the first derivative of -y**3/3 - 3*y**2 - 4*y + 4. What is n(-4)? 4 Suppose 0 = -0*r + 2*r - 516. Let j be r/54 - (-2)/9. Let g be ((-6)/j)/((-1)/5). Let k(u) = -2*u + 4. Give k(g). -8 Suppose -2*i - 3*q + 5 = 0, -i + 0*i = -4*q - 8. Let n(y) = -i*y**2 - 1 + 0 + 2*y**2 + 3*y**2 + 3*y. Give n(3). 17 Let l(m) = m**2 + 7*m + 6. Let g be 2/(-3*(-1)/3). Let s be -2*g*(-2)/4. Let b(n) = -2*n**3 + 4*n**2 - 3*n + 2. Let r be b(s). What is l(r)? -6 Let g(s) be the third derivative of s**6/120 + s**5/12 + s**4/8 + 2*s**3/3 + s**2. Let h be 10/(-15)*(4 - 10/(-5)). Determine g(h). 8 Let l = 5 - 2. Let g(j) = j**2 - 2*j - 3. What is g(l)? 0 Let a = 4 - 1. Suppose 0 = -a*x + 3 + 12. Let c(d) be the second derivative of d**4/12 - 5*d**3/6 + 3*d**2/2 + 3*d. What is c(x)? 3 Let a(h) be the third derivative of h**4/24 - 2*h**3/3 + h**2. Suppose -36*p = -16*p. What is a(p)? -4 Suppose 0 = -3*n - 6, -l + n - 14 = -0*l. Let w be (-2)/(-8) - (-68)/l. Let a(q) = 7*q - 7. Let y(c) = 3*c - 3. Let z(d) = -4*a(d) + 9*y(d). Determine z(w). 5 Let l(c) = -2*c**3 + c**2 + 4*c - 4. Let u(v) = v**3 - v**2 - 2*v + 2. Let s(q) = 6*l(q) + 13*u(q). What is s(7)? -12 Let o(n) = -n**2 - 4*n + 1. Let k(g) = -g**2 - 6*g + 7. Let r be k(-7). Suppose r = 7*j - 2*j + 25. What is o(j)? -4 Let y(i) be the second derivative of i**4/12 - 2*i**3/3 - i**2/2 - i. Let r be y(5). Let k(h) = h**2 - 4*h + 6. Calculate k(r). 6 Let x(m) = 18*m - 3 - 3 + 0 - 20*m. Determine x(-4). 2 Let k(t) = -t**3 + 7*t**2 - 7*t - 1. Let f be 25/5*(-3)/5. Let h = f - -9. Determine k(h). -7 Let u(l) = -l**2 + 4*l + 4. Suppose 17*r = 3*j + 18*r - 18, 0 = 2*j - 4*r - 12. Give u(j). -8 Let a(n) = -5*n**3 + n**2 - 1. Let i be a(1). Let t(x) = 25*x + 19*x - 1 + 3 - 43*x. Calculate t(i). -3 Let j(v) = v**3 + 7*v**2 + 5*v + 3. Let h(g) = g**3 - g + 1. Let r(c) = 2*h(c) - j(c). What is r(8)? 7 Let y(r) = -1 - 2*r + 2*r**3 - 1 + r - 2*r**2. Let l(b) = b**3 - 5*b**2 + 5*b - 2. Let k be l(4). Let o be 0/(-1) + 1*k. Calculate y(o). 4 Let j = 14 + -11. Let h(t) = t**2 - 2*t. Calculate h(j). 3 Let g(j) = -17*j + j + 2 + 10*j + 9*j. Give g(-2). -4 Let r(w) = 14*w**2 - 2*w + 1. Let s be (((-4)/(-3))/(-4))/(8/(-24)). Calculate r(s). 13 Suppose 4*f + 2*n = 44, 36 + 11 = 3*f - 2*n. Suppose 2*p = -5*c - f, -7*c - 25 = -2*c + 5*p. Let s(q) = 14*q**3 + q**2 + q + 1. Give s(c). -13 Let h(o) be the third derivative of o**6/40 + o**5/30 - o**4/4 - o**3/6 + 4*o**2. Let d(l) = -l**3 + l**2. Let c(z) = -2*d(z) - h(z). Calculate c(-5). -4 Let q(u) be the third derivative of u**7/2520 - u**6/720 - u**5/15 + u**2. Let x(m) be the third derivative of q(m). Give x(4). 7 Let v(h) = 4*h**2 - 1. Suppose 2*u + 4 - 8 = 0. Suppose 5 = -u*l - 3*l. Calculate v(l). 3 Let l = -599/12 - -50. Let c(t) be the third derivative of t**2 + 0 + 0*t + l*t**4 - 1/60*t**5 - 1/3*t**3. Calculate c(4). -10 Let h(o) = 24*o - 5. Let z(v) = 49*v - 10. Let t(y) = -9*h(y) + 4*z(y). Let d(i) = 13*i - 3. Let u(n) = 8*d(n) + 5*t(n). Calculate u(2). 9 Let i(s) = s**2 + 5*s + 7. Let w(d) = 4*d**2 + 15*d + 21. Let x(a) = -7*i(a) + 2*w(a). Calculate x(6). -1 Let u(k) = 29 + 26 + 21 - 67 - k. Determine u(5). 4 Let d(n) be the third derivative of n**5/30 - n**4/6 - 5*n**3/6 - 2*n**2. Suppose 4*s + 120 = -s. Let p be ((-2)/(-6))/((-2)/s). Give d(p). 11 Let u(c) = -4 - 5*c**2 - 1 + c**3 + c - 2. Let g = 86 - 81. What is u(g)? -2 Let h = -2 + 4. Suppose 2*l = -h*l + 16. Suppose 4*g - 16 = f - 4*f, -8 = -l*f - 2*g. Let r(b) = -b**2 - b + 8. What is r(f)? 8 Let p(c) = 3*c + 57. Let x(j) = -j - 19. Let n(s) = 6*p(s) + 17*x(s). Let a be n(-14). Let w(i) = -i**3 + 6*i**2 - 5*i - 7. What is w(a)? -7 Let s(l) = -l + 5 - l**2 - l**3 - l**3 + l**3. Let m be (-7)/21 - (-37)/3. Suppose 4*w = -5*u - m, -2*w - 15 = -4*u + 3*w. What is s(u)? 5 Let l(i) = -3*i. Let b = 3 + 2. Let v(y) be the first derivative of 7*y**2/2 - y + 1. Let d(p) = b*l(p) + 2*v(p). Give d(0). -2 Let y(v) = -16*v**3 - 25*v**2 - 6*v + 15. Let s(w) = 3*w**3 + 5*w**2 + w - 3. Let q(t) = 11*s(t) + 2*y(t). Determine q(-5). 2 Let r(y) = -2*y**2 - 4*y**2 + 7*y**2 + 7 + 6*y - 3*y**2. Determine r(5). -13 Let x(o) = o**2 - 1. Let k(i) = -3*i**2 + 5*i + 5. Suppose z = -z + 8. Let v(m) = z*x(m) + k(m). Give v(-6). 7 Let b(o) = o**3 + o + 1. Let a(k) = -4*k**3 + k**2 - 7*k - 5. Let r(l) = a(l) + 6*b(l). Determine r(1). 3 Let p(r) = 3 + r + 5 + 0*r. Let x be p(-4). Let j(y) = 5*y**2 - 7*y + 3. Let h(a) = 11*a**2 - 15*a + 7. Let l(v) = -4*h(v) + 9*j(v). Calculate l(x). 3 Let k(z) = z**3 - 3*z**2 - 3*z. Let y(p) = -4*p**2 - 4*p. Let d(g) = -4*k(g) + 3*y(g). Calculate d(-1). 4 Let r(j) = 1 - 2 + 8*j**2 - j**2. Give r(1). 6 Let j(t) = -t**3 + 6*t**2 - 6*t - 5. Let k be j(5). Let b = 13 + k. Let i(l) = -l + 2*l + 2*l - b. Determine i(5). 12 Let n(f) be the third derivative of 1/60*f**6 - 1/12*f**4 + 1/6*f**3 - 1/30*f**5 + 0 + 2*f**2 + 0*f. What is n(2)? 5 Let o(u) be the third derivative of 9*u**2 + 0 + 1/2*u**3 + 0*u - 1/12*u**4 + 1/15*u**5 + 1/120*u**6. What is o(-4)? 11 Let q(z) be the third derivative of -z**5/60 + z**4/4 - z**3/6 - 6*z**2. Determine q(4). 7 Let w be -3*(-2)/6 - 1. Let o = w + 4. Let l(s) = -2*s + 0*s**3 - 2*s**3 - 2 + 3*s**3 - 3*s**2. What is l(o)? 6 Let g(f) = f**2 - 4*f - 1. Let y be 7/(-3) - 1/(-3). Let d = y - -4. Calculate g(d). -5 Let q(x) = 14*x + 3. Let y(l) = -9*l - 2. Let g(u) = -5*q(u) - 8*y(u). Suppose 4*w = -2*n - 3 - 11, -5*w - 22 = -2*n. Calculate g(w). -7 Let q = 23 + -11. Suppose -3*t = t - q. Let w(v) = 1 + 0*v + 0*v + t*v. Determine w(2). 7 Let n(f) = -1 - 1 - 2*f + f + 182*f**2 - 183*f**2. Calculate n(4). -22 Let l(y) = 7*y**2 - 6*y - 3. Let p(x) = 13*x**2 - 11*x - 6. Let i(f) = -11*l(f) + 6*p(f). Determine i(4). 13 Let r(n) = n**3 + 4*n**2 - 3*n - 1. Let j(q) = q - 1. Let t(d) = 3*j(d) + r(d). Suppose 30 = -7*z -
{ "pile_set_name": "DM Mathematics" }
et s = -326.42 - -303. Let d = 0.42 + s. Let k = 25 + d. What is the closest to 2/5 in k, 1, -0.3? 1 Let q = 1.8 + -4.6. Let t = -3.3 - q. What is the closest to -0.2 in -3/2, t, 1? t Let w = 1 + -4. Let c = w - -2.8. Let l be (4/10 - 0)*-10. What is the nearest to 0 in l, -1/7, c? -1/7 Let y = 42.9 + -43. Suppose -3*g + 29 + 5 = 5*k, -3*g = -4*k + 11. Let h be 45/(-168) + g/21. Which is the closest to -6? (a) 3 (b) h (c) y b Suppose 24 = -4*h + 5*d, 3*h + 23 = -0*h + 5*d. Let i be (57/(-45) + 1)*(-6)/4. What is the closest to i in 2/17, h, -4? 2/17 Let n = -19 + 23. Let t be 7/28*6*1. What is the closest to -1 in -2, t, n? -2 Let t = 103 + -108. Let j be (-9)/2 - 0 - 15/t. What is the closest to -1 in j, -4, 0? j Let p = -36998/11 - -609496/187. Let b = p - -104. Let z be 0 - (-30 - -33)*(-1)/7. What is the nearest to -1 in z, b, 0? b Let v be (-1)/(4 - (-25)/(-6)). Let w be 3/v*2*-5. Let c be 1/w*20/(-12). What is the closest to -1 in 3, 0.3, c? 0.3 Let k = -0.005 + -3.075. Let v = 0.08 + k. Which is the closest to 2/9? (a) -2/5 (b) -4 (c) v a Let m be (-4)/(-26) - 50/(-13). Suppose -m*b - 62 = -42. What is the nearest to 0 in 3/4, b, 0.4? 0.4 Let z = -29.7 - -29.7. Which is the closest to z? (a) -7 (b) -4/3 (c) -2/17 c Let o = -0.1 + 0.6. Let y = o + -0.4. Let q be 1*-1 + 1/(20/15). Which is the closest to q? (a) -1/7 (b) 0 (c) y a Let l = -1188 - -4753/4. Which is the nearest to l? (a) 0 (b) -5/3 (c) -1/6 (d) -0.83 a Let q = -0.138 - 0.162. Let f = -5 - -10. Suppose 2*j = 4*r + 10, 2*j - f*r - 8 = -2*j. What is the closest to 2 in j, 3, q? 3 Let a = 0.11 - 1.11. Let n = 155 + -1397/9. What is the closest to -2 in -0.02, n, a? a Suppose 3*r = 4*s + 1, -3*r + 13 = 3*s + 40. Let i = -6 + 9. Suppose -y - 4*q - 20 = -6*y, 2*y - 15 = i*q. What is the nearest to y in -4, r, 1/8? 1/8 Let o = -92/469 + -6/67. Let w = -2.2 - -1.2. Let d = 24 - 93/4. What is the nearest to w in d, 0.5, o? o Let i = 264 - 259. Which is the closest to 1/4? (a) i (b) 3 (c) 1/8 (d) 3/4 c Let f = -0.65 - -0.6. Let i = -5.05 - f. Let m = 72/5 + -14. Which is the nearest to -1/4? (a) i (b) 5 (c) m c Let t = -5 - -5.5. Let x be 3/(1 + 4/1). Let p = 18 + -35/2. Which is the closest to p? (a) x (b) 3 (c) t c Let x = -3 - -2. Let q = 0.04855 + 0.95145. Suppose 0 = f - 2 + 3. Which is the closest to x? (a) q (b) f (c) -2 b Let s = -0.3046 - -0.4046. Let k = -0.3 + -0.1. What is the nearest to s in 0, k, 2? 0 Let t = -36.12 + 3.12. What is the nearest to 1/2 in t, 2/3, 0.4, 0.5? 0.5 Let s be 18 + -9 - 5 - 92/22. Which is the closest to 1/2? (a) 3 (b) s (c) 0.04 c Let s = -214 - -216. What is the closest to 0 in -0.5, -4, -6, s? -0.5 Let v = -10 + -1. Let h = v - -11.7. Let t = -0.3 + h. Which is the closest to -2/11? (a) t (b) -0.3 (c) 3 b Let o = -0.6 + 0.4. Let l = -367 + 408.8. Let t = l + -42. Which is the nearest to o? (a) t (b) 4 (c) 0.4 a Let a = 579/7 - 83. Let u = -140.1 - -140.4. What is the closest to -1 in a, -5, u? a Let t = -0.1078 - -0.0078. Let n = 94/35 + -23/7. Which is the closest to t? (a) n (b) -4 (c) 2/11 c Let v = 17.0709 - 0.0709. Which is the closest to -2? (a) 2 (b) v (c) 3 a Let y = -7.5 - -8. Let d = 1.12 + -1.3. Let f = -1.82 + d. Which is the nearest to 2/9? (a) -0.4 (b) f (c) y c Let p = 4 - 9. Suppose 0 = -z + 4*z - 5*q - 20, 4*q = -4. Let k = 0.21 - 0.41. What is the nearest to 1 in p, z, k? k Let q = -25 + 21.5. Let r = q + 2.5. What is the closest to 2 in r, 0.09, 0.3? 0.3 Let h = -28 - -27. Let j = 298/7 + -2321/56. Which is the nearest to h? (a) j (b) -2/11 (c) -2 b Let w be 204/(-918) + 52/(-90). Let s = -10 - -14. Which is the nearest to 0.1? (a) s (b) w (c) -2 b Let o = 50 - 49. Which is the nearest to o? (a) 0 (b) -0.07 (c) 5 a Let p = 1.855 - 1.805. What is the closest to p in 3, -0.05, 0? 0 Let f = 74/85 + -6/85. Let m = -22.3 - -19.3. What is the closest to 2 in f, -0.5, m? f Suppose -29 = o + 107. Let g = o + 682/5. Let h be (-130)/78*8/10. Which is the closest to g? (a) h (b) -0.1 (c) 0 c Let o = -6.3 + 9.8. Let i = 3.4 - o. Let s = 1901/9 - 211. What is the closest to i in s, -4, -2/9? -2/9 Let w = 0.1 + 0.4. Let m be 27/84 + 56/(-98). Which is the nearest to m? (a) -1/4 (b) -4 (c) w a Let w = -0.188 + 0.248. What is the nearest to w in 0, -3, 0.3? 0 Let r be (-37)/(-3) - (10 - -2). What is the nearest to r in -0.02, -2/5, 3? -0.02 Suppose 324 + 12 = -84*w. What is the closest to -0.2 in -0.3, 2/11, w, 1/4? -0.3 Let p = 0.02 + -0.72. Let q = p + 0.62. Let t = 0.58 + q. What is the closest to 0 in 1, t, 0.4? 0.4 Suppose 8*k - 396 = -k. Let p = 48 - k. Let f = 3 + -2. Which is the nearest to -3? (a) p (b) f (c) -2 c Let c = -1.865 + -0.095. Let r = 248.96 + -249. Let w = r + c. What is the nearest to w in 0, 2, 2/15? 0 Let o = -1.02 + 0.02. Let v = -1.2 - o. Suppose 0 = -5*d + 2 - 7. Which is the nearest to v? (a) -4 (b) d (c) 0.2 c Let h = 0.146 - 2.452. Let v = h - -0.006. Let q = v - -1.3. What is the closest to 0.1 in q, -3, 0.1? 0.1 Let s = -11 + 163. Let m = -152.1 + s. What is the nearest to m in -0.1, 1, 1/2? -0.1 Let k = 6 - -3. Let v = -8.95 + k. Let u = -0.07 - -1.07. Which is the closest to u? (a) v (b) 1 (c) 5/2 b Let s = 361/14 - 51/2. Let d(t) = 6*t + 156. Let o be d(-26). Which is the nearest to s? (a) o (b) -4 (c) -0.1 a Let q be (-2)/18*(-153)/187. Which is the nearest to -0.1? (a) 3 (b) q (c) 4 b Let j be 10/3*(-6)/8*-2. Suppose 2*x + 5 = -2*l + 13, -j*l - 2*x + 23 = 0. Which is the closest to -4? (a) -2 (b) 2 (c) l a Let n be (1 - 0)*3/(-3). Let g = 200.6 - 226. Let o = g - -25. Which is the nearest to n? (a) -1 (b) -4 (c) o a Let y be 13/26*(-4)/15. What is the closest to -2/3 in y, 1, 2? y Let p = -23.7 - -28. Let u = p - 4. What is the closest to -1 in -1, u, 5? -1 Let r = -1573 + 1575. What is the closest to 3 in -4/7, -5, r, -5/4? r Let m(f) = f**2 - 10*f + 20. Let r(q) = 2*q**2 - 20*q + 40. Let l(j) = 7*m(j) - 4*r(j). Let k be l(7). Which is the closest to 0? (a) -4 (b) -0.4 (c) k b Let l = 1/19465 + -221968/1304155. Let n = l + -2/67. What is the closest to -14 in -1/9, 1, n? n Suppose 5*g + 5*t - 5 + 275 = 0, -g - 2*t = 52. Let y = -48 - g. What is the nearest to -1 in -0.4, y, -0.1? -0.4 Let l be 3/(-90) - 2/(-10). Let t = 87 - 85. What is the closest to 1 in l, t, 1/3? 1/3 Let w = -691 - -686. Which is the closest to -4? (a) -0.3 (b) w (c) -1/6 b Let h = 1573/4 - 393. Which is the closest to -0.2? (a) 5 (b) -4 (c) h (d) 0 d Let m = -0.037 + 2.037. Let a = -8 - -4. What is the closest to 2/3 in a, -3, m? m Let k = -14.87 + 9.87. Let o = 2/51 + 47/102. What is the closest to o in k, 2/9, -4? 2/9 Suppose -s - 4 = -2*x, -2*s = -5*s + 2*x - 4. Which is the closest to 2? (a) 2 (b) s (c) -5 (d) 3 a Let t = -2.8229 - 0.1771. Which is the nearest to -0.21? (a) t (b) 1/5 (c) 1 b Let o = 5 + -2. Suppose -3*w = 4*j - 5*w + 82, -w - 85 = 4*j. Let f be j/15 + (-4 - -5). Which is the closest to f? (a) o (b) -1 (c) 5 b Let r = 97.86 - 97. Let d = 3.86 - r. Which is the nearest to 2/11? (a) 1 (b) d (c) 0 c Let w = -29.989 - 0.011. Let o = -566 + 536. Let d = w - o. What is the closest to d in -2/3, 1/5, 0.3? 1/5 Let a = -8.3 - -8. Let t = 0.06 + -0.46. Let v = t + 0.8. What is the closest to a in 3, v, -4? v Suppose -4*r + 3*k + 32 = 0, k = 3*r - k - 23. Which is the closest to 1? (a) r (b) 0.1 (c) 4 b Let z be ((-3)/(-2))/(9/4). Let o = -7.01 - -7.307. Let n = o + -0.097. What is the nearest to n in -3, z, 4? z Let h be 2/(-9) - 187/(-396). Let l = -11.2 - -11. Let w = 0.1 + l. What is the nearest to -1 in w, h, 0.2? w Let k = 207.1 - 211.1. Suppose 0*x = -2*x. Let g = -3/91 - 125/1729. What is the nearest to x in g, 2/11, k? g Let i = -307 - -3375/11. Let f = -1.9 - -11.9. Let j = f + -5. What is the closest to i in -1/6, -5, j? -1/6 Let y = -684 - -6158/9. Let m = 3 - 2. Let x = 1 - 1.2. Which is the nearest to m? (a) y (b) 5 (c) x a Let i = -2.8 + 3. Let f = 3357.982 - 3362. Let k = -0.018 - f. Which is the nearest to 0? (a) i (b) k (c) -0.7 a Let c = -1466 + 1432. What is the nearest to -0.1 in 1/3, c, -1/3, -0.4? -1/3 Let o = -0.6 + 0.3. Let i = 2286/11 - 208. Let x be 5/(-5)*(-2)/6*0. Which is the
{ "pile_set_name": "DM Mathematics" }
(z) = 2*z**3 + 37*z**2 + 93*z - 7. Determine b(-3). -7 Let l(i) = -i**2 - 28*i + 852. Calculate l(-53). -473 Let h(a) = -74*a + 126. Give h(7). -392 Let j(z) = 2*z**3 + 2*z**2 - 4*z - 4. Give j(5). 276 Let m(w) = 100*w**2 + 3*w - 2. Give m(0). -2 Let y(d) = -4*d**2 + 451*d + 412. Calculate y(114). -158 Let t(q) = 2148*q + 73042. Give t(-34). 10 Let q(s) = -8*s**2 + 57*s + 24. Calculate q(7). 31 Let k(m) = -63*m + 8165. Determine k(129). 38 Let z(o) = 4*o**3 + 19*o**2 - 15*o - 56. Give z(-5). -6 Let x(a) = 122*a**2 - 632*a + 9. Give x(5). -101 Let v(o) = o**3 + 2*o**2 + 3*o - 14. What is v(-5)? -104 Let k(f) = 3*f**3 - 43*f**2 - 4*f - 391. Determine k(15). -1 Let t(r) = -25*r**2 - 139*r - 163. What is t(-4)? -7 Let f(o) = -o**3 + 140*o**2 + 3748*o + 170. Determine f(163). 7 Let o(r) = 4*r**2 + 382*r + 3577. What is o(-85)? 7 Let y(z) = -12*z**2 + 106*z - 224. What is y(5)? 6 Let o(l) = l**2 - 129*l + 130. Determine o(128). 2 Let a(y) = -116*y**3 + 10*y**2 + 4*y - 14. Determine a(1). -116 Let u(f) = 53*f + 178. Calculate u(-8). -246 Let t(q) = -9*q - 161. Give t(-31). 118 Let d(x) = -9*x**2 + 361*x - 48. What is d(40)? -8 Let j(z) = -1783*z - 55304. What is j(-31)? -31 Let h(r) = 220*r - 887. Determine h(4). -7 Let w(n) = -n**2 + 57*n - 537. Calculate w(12). 3 Let i(j) = 45*j**2 - 856*j - 2. What is i(19)? -21 Let n(k) = -k**3 + 48*k**2 - 221*k + 272. Determine n(43). 14 Let i(h) = -h**2 - 19*h - 75. What is i(-10)? 15 Let b(i) = -7010*i + 56095. Determine b(8). 15 Let v(q) = -194*q - 1400. Determine v(-7). -42 Let k(o) = 4799*o - 43194. What is k(9)? -3 Let n(l) = 2*l + 268. What is n(-123)? 22 Let z(a) = 62*a + 101. Give z(-4). -147 Let y(n) = -21*n + 250. Determine y(-34). 964 Let j(k) = -9*k**3 - 17*k**2 - 3*k - 3. Determine j(-3). 96 Let t(b) = -5*b**2 + 193*b + 61. Give t(39). -17 Let y(a) = 58*a + 484. Calculate y(-9). -38 Let k(m) = -5579*m - 251056. Calculate k(-45). -1 Let i(d) = 10*d**2 + 187*d - 10. Determine i(-19). 47 Let j(r) = -5*r**2 + 120*r - 607. Give j(17). -12 Let d(o) = 2*o**2 - 7*o - 181. What is d(12)? 23 Let j(o) = 3*o**2 - 77*o + 357. Determine j(18). -57 Let b(k) = k**3 + 2*k**2 - 82*k - 22. Determine b(-10). -2 Let t(h) = -2*h**2 + 27*h + 357. What is t(-8)? 13 Let g(v) = -39*v**2 - 10*v + 14. Determine g(2). -162 Let h(i) = -i**3 - 12*i**2 - 24*i - 59. What is h(-12)? 229 Let b(r) = r**2 - 57*r - 273. Give b(63). 105 Let u(d) = -115*d - 914. Give u(-8). 6 Let p(q) = 549*q - 220698. Calculate p(402). 0 Let n(c) = -30*c + 269. Give n(7). 59 Let o(p) = 2*p**3 + 33*p**2 + 24*p + 35. Determine o(-16). -93 Let l(x) = -x**2 + 93*x + 386. Give l(-4). -2 Let o(n) = -140*n - 4327. Give o(-31). 13 Let m(q) = 34*q + 823. Determine m(-24). 7 Let z(a) = a**2 + 219*a + 3461. Determine z(-17). 27 Let q(b) = b**3 + 21*b**2 + 114*b + 46. Determine q(-9). -8 Let h(z) = 7*z**2 - 130*z - 159. What is h(19)? -102 Let d(z) = -2*z**3 + 92*z**2 + 291*z + 143. Give d(49). -4 Let h(j) = 3*j - 87. Give h(21). -24 Let o(d) = -d**2 - 39*d - 95. Calculate o(-35). 45 Let f(q) = -q**2 - 1204*q - 8416. Give f(-7). -37 Let q(s) = 620*s - 7440. Determine q(12). 0 Let c(k) = -1532*k + 24493. Determine c(16). -19 Let q(z) = z**2 - 44*z + 287. Calculate q(37). 28 Let z(y) = -4*y**2 - 80*y + 12. Determine z(-21). -72 Let k(w) = 23*w - 93. Determine k(4). -1 Let o(f) = -14*f - 414. Calculate o(-12). -246 Let f(m) = 4*m**2 - 7*m - 8. Calculate f(-2). 22 Let m(w) = 72*w + 3299. Determine m(-46). -13 Let g(q) = 10*q - 507. Determine g(48). -27 Let c(q) = -25*q + 26. What is c(6)? -124 Let i(h) = 39603*h - 158415. What is i(4)? -3 Let b(a) = -a**2 - 139*a + 3628. Determine b(22). 86 Let k(c) = 2*c**2 + 74*c - 231. Determine k(3). 9 Let r(f) = f**2 - 3*f + 10. Calculate r(-4). 38 Let x(o) = -o**3 + 13*o**2 - 10*o + 20. What is x(13)? -110 Let r(d) = d**3 + 31*d**2 - 2*d - 103. Determine r(-31). -41 Let q(a) = a**3 - a**2 - 8*a - 622. What is q(0)? -622 Let f(q) = -4*q**3 - 37*q**2 + 24*q - 66. Determine f(-10). -6 Let f(q) = q**3 - 19*q**2 - 38*q + 68. Calculate f(23). 1310 Let y(g) = -g**2 + 27*g - 49. Calculate y(26). -23 Let j(f) = -f**2 - 126*f - 3905. What is j(-53)? -36 Let k(u) = u**3 - 44*u**2 + 124*u - 71. Give k(41). -30 Let r(v) = -2*v**3 + 14*v**2 + 69*v - 89. What is r(10)? 1 Let c(r) = 2*r**3 - 42*r**2 + 206*r - 380. Give c(15). 10 Let r(q) = 39*q + 49. Give r(-1). 10 Let g(t) = 245*t - 9076. Calculate g(37). -11 Let q(n) = -2839*n - 31235. Calculate q(-11). -6 Let h(t) = -139*t - 1546. Calculate h(-13). 261 Let w(o) = 56*o**3 - 6*o**2 + 6*o + 1. Calculate w(1). 57 Let r(y) = y**3 - 15*y**2 - 21*y + 508. Calculate r(14). 18 Let j(t) = 17*t**2 - 25*t + 15. Give j(5). 315 Let a(x) = 25*x + 359. Calculate a(-16). -41 Let q(g) = -318*g - 4777. Give q(-15). -7 Let k(o) = o**3 + 10*o**2 - 37. Calculate k(-9). 44 Let q(j) = -5*j**2 - 44*j - 87. Give q(-5). 8 Let x(z) = -47*z - 65. What is x(-8)? 311 Let m(q) = -q**3 - 26*q**2 - 24*q + 37. Calculate m(-25). 12 Let x(p) = 3*p**2 + 263*p - 80. Determine x(-87). -254 Let d(b) = b**3 + 11*b**2 - 63*b - 290. What is d(-14)? 4 Let z(r) = -2*r**3 + 37*r**2 + 114*r - 25. Calculate z(-3). 20 Let d(q) = -q**3 - 54*q**2 - 98*q - 2329. What is d(-53)? 56 Let s(b) = -b**2 + 10*b - 248. Calculate s(11). -259 Let c(r) = 6*r**3 + 35*r**2 - 12*r - 28. Determine c(-6). 8 Let l(x) = -76*x**2 + 20*x + 37. Give l(-2). -307 Let m(c) = 2*c**3 - 41*c**2 + 46*c - 45. Determine m(19). -254 Let m(h) = 48*h + 2161. Determine m(-45). 1 Let a(o) = o**2 + 74*o + 786. Determine a(-13). -7 Let z(m) = 4*m + 34. Determine z(27). 142 Let p(a) = 4*a**2 + 7*a - 105. What is p(7)? 140 Let x(p) = 117*p + 5688. Determine x(-49). -45 Let f(k) = -1990*k - 13911. Determine f(-7). 19 Let r(n) = -n**3 + n + 5. Calculate r(-2). 11 Let i(l) = 3*l**3 - 141*l**2 + 1258*l + 77. What is i(35)? 7 Let m(u) = -8*u**2 + 533*u - 37. Give m(66). 293 Let b(d) = 23*d - 215. Give b(8). -31 Let l(d) = -9*d**2 + 64*d - 97. Calculate l(5). -2 Let f(j) = -904*j - 12644. Determine f(-14). 12 Let h(c) = c**2 - 10*c - 22. Calculate h(-6). 74 Let w(h) = h**2 + 45*h - 723. Calculate w(-60). 177 Let a(r) = -10*r - 249. What is a(-26)? 11 Let g(p) = -35*p + 5. What is g(7)? -240 Let w(q) = -q**3 - 18*q**2 - 63*q - 271. Give w(-15). -1 Let z(j) = -36*j**3 + 4*j**2 + 47*j - 51. Determine z(1). -36 Let u(y) = -107*y**3 - 2*y**2 + 78*y + 78. What is u(-1)? 105 Let x(q) = 65*q - 128. Give x(2). 2 Let q(c) = c**3 - 51*c**2 - 303*c + 17649. Determine q(50). -1 Let f(j) = -66*j**3 - j**2 + 8*j - 5. Give f(1). -64 Let d(j) = j**2 - 104*j - 664. Calculate d(110). -4 Let m(u) = 17*u - 112. Calculate m(4). -44 Let d(t) = 2*t**3 - 8*t**2 - 4*t + 11. Calculate d(-4). -229 Let a(o) = 10*o**2 - 98*o + 187. Determine a(7). -9 Let b(g) = -65*g - 1168. What is b(-18)? 2 Let s(c) = 43*c - 903. Give s(20). -43 Let f(d) = 65*d - 738. Determine f(9). -153 Let l(y) = -y**2 - 18*y + 50. Calculate l(-19). 31 Let c(k) = -3*k**2 + 23*k - 42. Determine c(5). -2 Let w(k) = 195*k + 1952. Give w(-10). 2 Let f(u) = 7*u**3 + 36*u**2 - 36*u. Give f(1). 7 Let b(j) = 19*j**2 + 80*j + 5. What is b(-4)? -11 Let p(x) = x**3 - 14*x**2 + 23*x + 24. Calculate p(10). -146 Let m(z) = z**2 + 18*z - 167. What is m(8)? 41 Let b(a) = 18*a**3 + 2*a**2 + 50*a + 100. Determine b(-2). -136 Let p(t) = -281*t**2 + 42149*t + 158. Give p(150). 8 Let y(n) = n**3 + 19*n**2 + 31*n + 20. What is y(-17)? 71 Let c(k) = k**2 + 329*k + 20587. Determine c(-84). 7 Let r(i) = 2*i**2 + 1461*i - 5868. Give r(4). 8 Let u(v) = 9101*v + 16. Determine u(0). 16 Let t(d) = -3*d**2 + 23*d - 39. Determine t(3). 3 Let t(y) = 11*y**3 + 5*y**2 - 6*y - 11. Give t(-2). -67 Let r(h) = 2*h**2 - h - 1636. Give r(-28). -40 Let c(q) = 6*q - 19. Give c(3). -1 Let n(x) = 22*x - 850. Determine n(43). 96 Let b(k) = 3*k**2 - 115*k - 340. Calculate b(41). -12 Let i(k) = k**3 + 7*k**2 - 15*k - 23. What is i(-7)? 82 Let k(v) = v**3 + 5*v**2 + 12*v + 29. Give k(-4). -3 Let y(m) = 3*m**2 - 185*m + 103. Give y(61). -19 Let j(l) = -l**3 - 50*l**2 + 155*l. What is j(3)? -12 Let a(r) = 3452*r + 176058. Calculate a(-51). 6 Let g(z) = -18*z**2 + 147*z - 12. What is g(8)? 12 Let d(f) = 7*f**2 + 129*f + 677. What is d(-5)? 207 Let l(k) = -5*k**3 + 54*k**2 + 24*k - 13. Determi
{ "pile_set_name": "DM Mathematics" }
replacement from zpzpszzpspzzpspzzzsz. What is prob of sequence zppz? 15/646 Calculate prob of sequence eehe when four letters picked without replacement from {h: 6, e: 4}. 1/35 Three letters picked without replacement from eeeeeeeneeeeeeeeeeee. Give prob of sequence ene. 1/20 Two letters picked without replacement from kjkiiiiji. Give prob of sequence ik. 5/36 Four letters picked without replacement from lfzozffzfzzozll. What is prob of sequence lfof? 1/455 Calculate prob of sequence ppp when three letters picked without replacement from ppppppppp. 1 Three letters picked without replacement from {t: 7, j: 5, u: 1, d: 1}. Give prob of sequence dut. 1/312 Three letters picked without replacement from {z: 2, n: 1, p: 2}. Give prob of sequence znz. 1/30 Calculate prob of sequence btex when four letters picked without replacement from xxtbexxex. 5/1512 Four letters picked without replacement from eoefveesoefe. What is prob of sequence veef? 1/198 Calculate prob of sequence wcw when three letters picked without replacement from ccwcccwcccc. 1/55 Four letters picked without replacement from {h: 4, g: 3, s: 2, b: 1, m: 2, w: 3}. What is prob of sequence mwmb? 1/5460 Two letters picked without replacement from {u: 2, h: 4, z: 5}. Give prob of sequence uz. 1/11 What is prob of sequence gj when two letters picked without replacement from {k: 2, w: 1, e: 2, t: 5, g: 2, j: 1}? 1/78 Three letters picked without replacement from {a: 3, o: 5, t: 2, w: 2}. Give prob of sequence awa. 1/110 Calculate prob of sequence vi when two letters picked without replacement from jivkgjvgbjbgvbv. 2/105 Two letters picked without replacement from {o: 3, a: 3, j: 1, m: 3}. What is prob of sequence ao? 1/10 Two letters picked without replacement from {d: 4, q: 3, a: 5, r: 5, c: 1}. What is prob of sequence qa? 5/102 Three letters picked without replacement from {o: 3}. Give prob of sequence ooo. 1 What is prob of sequence ddgd when four letters picked without replacement from {g: 2, d: 17}? 5/57 Calculate prob of sequence yb when two letters picked without replacement from {d: 6, y: 1, b: 1, z: 3, m: 2}. 1/156 Four letters picked without replacement from {z: 8, t: 4, j: 8}. What is prob of sequence ztjj? 224/14535 Calculate prob of sequence ebm when three letters picked without replacement from ffmrebrrrrbbrfe. 1/455 What is prob of sequence ehu when three letters picked without replacement from {u: 1, n: 1, h: 2, l: 1, e: 4}? 1/63 Four letters picked without replacement from {f: 6, o: 1, z: 2, s: 1, i: 5}. What is prob of sequence izzo? 1/3276 Four letters picked without replacement from uuuuuuuuu. Give prob of sequence uuuu. 1 What is prob of sequence dggg when four letters picked without replacement from {g: 2, d: 2, z: 2}? 0 Two letters picked without replacement from enpnnpennenenpppp. What is prob of sequence ne? 7/68 What is prob of sequence iffi when four letters picked without replacement from iiffdiifhdytihiff? 5/476 Calculate prob of sequence bfc when three letters picked without replacement from vrbcf. 1/60 Calculate prob of sequence wknu when four letters picked without replacement from {w: 4, j: 3, u: 1, n: 2, k: 1}. 1/990 Two letters picked without replacement from ebxxtxtxbfeexebe. What is prob of sequence xe? 5/48 Calculate prob of sequence yoh when three letters picked without replacement from {p: 4, o: 3, z: 8, y: 2, h: 2}. 2/969 What is prob of sequence kd when two letters picked without replacement from bbdonbnnbkmb? 1/132 Two letters picked without replacement from {q: 2, y: 2, c: 1, j: 1, b: 1, v: 1}. Give prob of sequence bv. 1/56 Two letters picked without replacement from ddzk. Give prob of sequence dz. 1/6 What is prob of sequence hr when two letters picked without replacement from rrrfrcrrcrrirfhrf? 5/136 Three letters picked without replacement from kbkblikbhkkkiiklbhh. Give prob of sequence lli. 1/969 Calculate prob of sequence kihh when four letters picked without replacement from {i: 3, l: 2, k: 1, h: 10}. 9/1456 Calculate prob of sequence hhhm when four letters picked without replacement from {h: 7, m: 7}. 35/572 What is prob of sequence qrf when three letters picked without replacement from {f: 3, k: 1, m: 1, r: 1, q: 1}? 1/70 What is prob of sequence kyqk when four letters picked without replacement from ddhkkqdqdydyh? 1/2145 Three letters picked without replacement from {w: 2, b: 2}. What is prob of sequence wwb? 1/6 What is prob of sequence fppp when four letters picked without replacement from fffpfppf? 1/56 Two letters picked without replacement from {m: 5, x: 2, r: 1, e: 2, h: 3, u: 6}. What is prob of sequence hx? 1/57 What is prob of sequence peu when three letters picked without replacement from nnueuunepepp? 9/440 What is prob of sequence hhbh when four letters picked without replacement from ubhljhulhljuyll? 1/5460 Three letters picked without replacement from uhhhaaahahhyh. Give prob of sequence hyh. 7/286 What is prob of sequence qbbf when four letters picked without replacement from ffhfqfbfub? 1/504 What is prob of sequence ps when two letters picked without replacement from bpssssssssssssppsb? 13/102 Three letters picked without replacement from {k: 5, u: 1, a: 1, t: 5}. What is prob of sequence tku? 5/264 Calculate prob of sequence kue when three letters picked without replacement from {o: 1, u: 2, e: 2, k: 4}. 2/63 Four letters picked without replacement from {o: 1, v: 3, w: 3}. Give prob of sequence vovv. 1/140 What is prob of sequence qjw when three letters picked without replacement from jnewq? 1/60 Two letters picked without replacement from {r: 1, w: 5, y: 4, e: 4, z: 6}. What is prob of sequence ye? 4/95 Calculate prob of sequence mhmm when four letters picked without replacement from hhmhhmmhhhhh. 1/220 Calculate prob of sequence zzzf when four letters picked without replacement from zzfzzzzzzzzzzzzzzzz. 1/19 What is prob of sequence yfg when three letters picked without replacement from {f: 4, q: 3, g: 1, i: 2, n: 3, y: 3}? 1/280 Two letters picked without replacement from {m: 2, f: 5}. Give prob of sequence mf. 5/21 What is prob of sequence irn when three letters picked without replacement from {q: 3, i: 6, n: 4, r: 1}? 1/91 Calculate prob of sequence wn when two letters picked without replacement from mjjnwwa. 1/21 Three letters picked without replacement from cngnnggncnwcw. What is prob of sequence gng? 5/286 What is prob of sequence ll when two letters picked without replacement from llnnlnnlnlln? 5/22 Calculate prob of sequence tt when two letters picked without replacement from {t: 9}. 1 Four letters picked without replacement from ssiscsdssiksdsf. What is prob of sequence ciss? 2/585 Three letters picked without replacement from vveoevvnvivvvi. What is prob of sequence eii? 1/546 What is prob of sequence bst when three letters picked without replacement from {t: 2, b: 2, s: 1}? 1/15 Four letters picked without replacement from tvejdjt. What is prob of sequence tevd? 1/420 Two letters picked without replacement from {o: 7, i: 2, d: 3, n: 3, b: 3}. What is prob of sequence ob? 7/102 Calculate prob of sequence rm when two letters picked without replacement from mramreremb. 1/10 Calculate prob of sequence ns when two letters picked without replacement from snsnssssssss. 5/33 Four letters picked without replacement from qqbcqqbbjq. What is prob of sequence bqbb? 1/168 Two letters picked without replacement from zawgyat. Give prob of sequence wa. 1/21 Three letters picked without replacement from {f: 1, g: 1, k: 5, a: 2}. Give prob of sequence fka. 5/252 Calculate prob of sequence joy when three letters picked without replacement from oyjoobyo. 1/42 What is prob of sequence xhxc when four letters picked without replacement from icxcxcch? 1/210 Calculate prob of sequence nvv when three letters picked without replacement from snvvq. 1/30 Three letters picked without replacement from {z: 4, f: 7, v: 2}. Give prob of sequence vfz. 14/429 Two letters picked without replacement from {v: 4, w: 6, z: 1, h: 4, r: 2, y: 1}. What is prob of sequence yr? 1/153 Two letters picked without replacement from {v: 2, r: 1}. What is prob of sequence vr? 1/3 Two letters picked without replacement from {q: 1, e: 1, w: 1, l: 1, t: 2
{ "pile_set_name": "DM Mathematics" }
60*b**4 - 29*b**2 wrt b? 456*b Let o(p) = -p**2 + 17*p + 40. Let k be o(19). Suppose -5*c + 7 = -k*x - 3, -x + 1 = -c. Differentiate -4*g**3 + 6*g**3 + 20*g**c + 9 - 2*g**3 wrt g. 80*g**3 What is the third derivative of -780*d - 430*d**2 + 340*d + 444*d + 10703*d**4 wrt d? 256872*d Let l(v) be the third derivative of 0*v + 0 - 1/12*v**4 + 29/6*v**3 + 4/5*v**5 + 2*v**2. What is the second derivative of l(d) wrt d? 96 Let d(u) be the second derivative of -u**7/21 + u**6/6 - 3*u**5/10 - 127*u**4/2 + 5233*u. Find the third derivative of d(z) wrt z. -120*z**2 + 120*z - 36 Let c be 1/(4/(-12)) + 3. Find the third derivative of 3*z**2 + c*z**3 + 1650*z**5 - z**2 + 11*z + 2*z**3 - 1647*z**5 wrt z. 180*z**2 + 12 Let h(n) be the third derivative of 339*n**6/4 - 153*n**3/2 - 4580*n**2. What is the first derivative of h(v) wrt v? 30510*v**2 Suppose 0 = -5*j, 8*b + 12 = 11*b - 5*j. Differentiate -5*a**3 + 0*a**3 + 9*a**3 + 5*a**b - 44 - 6*a**4 - 5*a**3 with respect to a. -4*a**3 - 3*a**2 Let o(f) be the second derivative of 2*f**3/3 - 4*f**2 + 7*f. Let b be o(3). Find the first derivative of 72 - 82 - 2*i**b - 4*i**3 + 4*i**3 wrt i. -8*i**3 Let g(a) be the first derivative of -56*a + 60 + 0*a**2 + 25/2*a**4 + 0*a**3. What is the derivative of g(o) wrt o? 150*o**2 Let j(u) = 7*u**2 + u - 1. Let b(n) = 2607*n**2 + 4*n + 1229. Let g(x) = b(x) - 4*j(x). Find the first derivative of g(v) wrt v. 5158*v Let z(j) be the second derivative of 64*j**4/3 + 606*j**2 + 28*j - 9. Find the first derivative of z(g) wrt g. 512*g Let z(b) be the second derivative of -803*b**7/42 - b**6/30 - b**4/4 - b**3/3 + 118*b**2 + 1242*b. What is the third derivative of z(r) wrt r? -48180*r**2 - 24*r Let m be 1/((-4)/8*2/(-17)). Suppose -23 - m = -10*v. What is the second derivative of -27*u**5 + 0*u**4 + 7*u**5 + 0*u**v + 27*u wrt u? -400*u**3 Let l(m) = m**2 - m - 2. Let c(q) = 60*q**2 + 70*q**2 - 6 - 55 + 2*q. Let u(a) = -c(a) - 2*l(a). Differentiate u(s) wrt s. -264*s Let l(w) = -14*w - 194. Let g be l(-14). What is the derivative of 2*d**2 - 6*d**2 + d**2 + 206*d + 11*d**g + 52 - 7*d**2 wrt d? 2*d + 206 Let k(s) = -1960*s**3 - 4785*s**2 - 5. Let h(v) = 3923*v**3 + 9569*v**2 + 11. Let q(x) = 5*h(x) + 11*k(x). Find the third derivative of q(m) wrt m. -11670 Let v be -1 + 1*20/2. What is the third derivative of 2*i**6 + 2 - 15*i**2 - 4*i**6 - v*i**3 + 14*i**3 wrt i? -240*i**3 + 30 Let b = 272 - 269. What is the second derivative of -27 - 24*c**3 - c**4 + 89*c**3 + 4*c**b - 3*c wrt c? -12*c**2 + 414*c Let i(c) = 0 + 1 - 5 + 6 + 217*c - c**3 - 216*c. Let h(v) = -33*v**3 + 11*v + 8. Let z(p) = h(p) - 4*i(p). Find the second derivative of z(o) wrt o. -174*o Let m(p) be the first derivative of -7*p**7/120 - 125*p**4/24 - 47*p**3 + 21. Let a(y) be the third derivative of m(y). Differentiate a(h) with respect to h. -147*h**2 Let m be (-204)/(-7 - 5) - -2. Let v(k) be the first derivative of 0*k**2 - 13/2*k**4 + 0*k + 14/3*k**3 - m. What is the third derivative of v(b) wrt b? -156 Let b(z) be the third derivative of 79/24*z**4 + 0*z - 35*z**2 - 7*z**3 + 0. Differentiate b(u) with respect to u. 79 Suppose -1197 = -227*q + 220*q. Find the second derivative of 414*u**3 + 34*u - 112*u**3 - q*u**3 wrt u. 786*u Differentiate 52 + o**3 - 424 + 183 - 192 + 183*o**2 with respect to o. 3*o**2 + 366*o Let v be (-4 - 198/(-51))/((-8)/272). Let m(a) be the first derivative of 35/4*a**v + 0*a**3 - 13*a**2 + 0*a - 15. Find the second derivative of m(r) wrt r. 210*r Find the third derivative of -40234*k - 383*k**2 + 40234*k + 565*k**3 wrt k. 3390 Let b(z) = -1312*z**2 + 1768*z + 6. Let s(h) = 3935*h**2 - 5305*h - 16. Let d(c) = 8*b(c) + 3*s(c). What is the second derivative of d(w) wrt w? 2618 Suppose -15*o + 14*o = 0. Let v = -12 + 21. What is the derivative of -4*b**3 + 6 + o*b**3 - v - 13 wrt b? -12*b**2 Let s(w) be the first derivative of -8/5*w**5 + 0*w**4 - 7*w + 0*w**3 + 24 + 0*w**2. What is the first derivative of s(x) wrt x? -32*x**3 Find the second derivative of -351*u + 145*u**2 - 81*u**3 + 166*u**3 - 17*u**3 - 74*u**3 wrt u. -36*u + 290 Let c be (1 - 4)/(21/(-70)*5). Let v(b) be the first derivative of 13/4*b**4 + 0*b**3 + 1 - 4*b + 0*b**c. What is the derivative of v(l) wrt l? 39*l**2 What is the first derivative of 4051*l**4 - 85641*l**2 - 85638*l**2 - 4869 + 171279*l**2 wrt l? 16204*l**3 What is the second derivative of -3*j**4 - 12*j**3 + 2754*j**2 + 1703*j - 2755*j**2 + 11*j wrt j? -36*j**2 - 72*j - 2 Suppose -2*s + u = -2, 0 = s - u - 0*u. What is the second derivative of -10*h - 16*h - 20*h - 29*h**s + 43*h wrt h? -58 Differentiate -2621*h - 1895*h + 3340*h - 1286 with respect to h. -1176 Let i(j) be the first derivative of -1/2*j**2 + 0*j**3 + 62 + 2*j - 21/2*j**4. Find the second derivative of i(q) wrt q. -252*q Let c(z) = -3*z. Let o be c(-1). Suppose 0 = o*j + 7*j - 20. What is the third derivative of 7*u**3 - 9*u**2 + 8*u**j - 35*u**3 - 45*u wrt u? -168 Let k(n) be the second derivative of 0*n**6 + 0*n**2 + 19/14*n**7 - 47*n + 0*n**5 - 19/4*n**4 + 0 + 1/3*n**3. Find the third derivative of k(v) wrt v. 3420*v**2 Suppose 18 - 13 = -r. Let v = r + 11. Find the second derivative of -31*w**3 + 27*w**3 - v*w + 19*w**3 + 0*w wrt w. 90*w Let l(s) = 5*s + 11. Let o be l(-16). Let n = o - -73. Differentiate 20*x + n - 2 + 7 + 3 wrt x. 20 Differentiate 603*a**3 - 344 - 2947*a + 2947*a wrt a. 1809*a**2 Let t(s) = -12671*s**3 - 12917*s**2 + 494*s. Let c(n) = 6336*n**3 + 6459*n**2 - 228*n. Let x(m) = 13*c(m) + 6*t(m). What is the third derivative of x(k) wrt k? 38052 Suppose 7*u - 28*u - 1 = -43. Let p(g) be the first derivative of 15 - 17*g + 7/2*g**u. What is the derivative of p(t) wrt t? 7 Let n(f) be the third derivative of 43*f**10/151200 + f**6/40 + 16*f**5/15 - 58*f**2. Let s(m) be the third derivative of n(m). Differentiate s(d) wrt d. 172*d**3 Let m(u) = -u**3 + 8*u**2 - u - 13. Suppose 4*g = 23 + 5. Let w be m(g). What is the third derivative of -35*v**2 + 4*v**3 - w*v**3 + 3*v**2 wrt v? -150 Let n be (-4)/(-2)*3 - (-24 + 28). Let x = 17 - 6. What is the third derivative of -21*g**n - 2*g**6 + 4*g**6 + 5*g**6 + x*g**2 wrt g? 840*g**3 Differentiate 137*b - 583*b**4 + 1950 - 65*b - 38*b - 31*b wrt b. -2332*b**3 + 3 Let z(x) = -102*x**4 - 10*x**3 + 5*x**2 - 3*x - 2203. Let r(h) = 50*h**4 + 4*h**3 - 2*h**2 + 2*h + 1101. Let l(u) = 5*r(u) + 2*z(u). Differentiate l(s) wrt s. 184*s**3 + 4 Suppose -7*j + 37 - 23 = 0. What is the second derivative of -9*n - 86*n**j - 13*n + 19*n - 6 wrt n? -172 Let k(z) be the second derivative of 0*z**3 + 0*z**2 + 0*z**5 + 0 - 245/12*z**4 + 41*z - 39/10*z**6. What is the third derivative of k(t) wrt t? -2808*t Let v(z) = -3*z**3 + 6*z**2 - 6*z + 24. Let w(o) = -o**2 + o - 1. Let g be (-9)/(-2)*20/15. Let r(y) = g*w(y) + v(y). Differentiate r(a) with respect to a. -9*a**2 Let d be (15 + -17)/((4 - -2)/(-12)). Let l(x) be the third derivative of 25*x**2 + 5/8*x**d + 0 + 3*x**3 + 0*x. Find the first derivative of l(p) wrt p. 15 Let g(o) be the second derivative of 1084*o**3/3 + 618*o**2 - 602*o + 3. Find the first derivative of g(x) wrt x. 2168 Let v(d) be the first derivative of -13*d - 2*d**2 + 15 + 7/4*d**4 - 7/3*d**3. Find the second derivative of v(h) wrt h. 42*h - 14 Let x(a) be the third derivative of 140*a**2 + 0 + 0*a**3 + 1/3*a**4 - 301/60*a**5 + 0*a. Find the second derivative of x(s) wrt s. -602 Let u(w) = 7*w - 20. Let l be u(7). Suppose 0 = 15*c - 62 - 373. What is the derivative of l*x - c*x + 33*x**3 - 4 wrt x? 99*x**2 Suppose 5*v = 794 - 784. What is the second derivative of 575 - 573 - 5*k - v*k**2 + 3*k**2 wrt k? 2 Find the third derivative of -3623*m**4 - 3868*m**4 + 2057*m**4 + 194*m**3 - 5517*m**2 - 194*m**3 wrt m. -130416*m Let i(n) be the second derivative of 2855*n**4/12 + n**3/6 - 422*n**2 - 61*n + 6. Find the second derivative of i(s) wrt s. 5710 Let l(i) be the second derivative of -3143*i**5/10 + i**3 - 287*i**2 - 12*i - 367. Find the second derivative of l(m) wrt m. -37716*m Let d(g) be the third derivative of 163*g**4/12 + 23*g**3/2 - 1406*g**2 + 2*g. What is the derivative of d(o) wrt o? 326 Suppose 2*p + 2 = -2*l, 5*l + p = -p + 7. Let v(f) = f**4 + 3*f + 87. Let s(i) = -i**4 - 2*i - 88. Let g(c) = l*s(c) + 2*v(c). Differentiate
{ "pile_set_name": "DM Mathematics" }
0000 + 1100100101100010? 1100011001110010 In base 2, what is 111010011001110011101 - 1? 111010011001110011100 In base 3, what is -1000110020120 + 11? -1000110020102 In base 13, what is 24a + -4c7607? -4c738a In base 6, what is 144000 - 2043? 141513 In base 13, what is -b557c - -9? -b5573 In base 15, what is 5 + -d10cd7? -d10cd2 In base 16, what is dd4 - 1eb1? -10dd In base 11, what is -26a - 1022a3? -102562 In base 8, what is -153 + -1113130? -1113303 In base 6, what is 1021 + -33315032? -33314011 In base 9, what is 71232 - 1162? 70060 In base 7, what is 26 - 111250253? -111250224 In base 15, what is 5a3760 + 7? 5a3767 In base 14, what is -6 + -1b8157? -1b815d In base 11, what is -388 - -218654? 218277 In base 16, what is -7251d3 + -4? -7251d7 In base 9, what is 1422470 + -6? 1422463 In base 2, what is 1001010100111010110010100 - -10? 1001010100111010110010110 In base 6, what is 11 - 235155102? -235155051 In base 11, what is 2 + 59a54? 59a56 In base 4, what is 233222113331 + 2? 233222113333 In base 2, what is -111000111 + 1000101100110110? 1000100101101111 In base 13, what is 3a006 + 543? 3a549 In base 10, what is -54 - -360547? 360493 In base 6, what is 5 + -103052152? -103052143 In base 14, what is -374 - b6c? -1102 In base 7, what is 5 - 1405344351? -1405344343 In base 3, what is -20102 + -221002022221? -221002120100 In base 4, what is 21210213100 - -321? 21210220021 In base 9, what is 1 - 18710134? -18710133 In base 5, what is 102040 - -303110? 410200 In base 9, what is 11 - 118171853? -118171842 In base 2, what is 1001011000101011100001 - -100? 1001011000101011100101 In base 2, what is -111 + 110011101001101001000101? 110011101001101000111110 In base 8, what is 100446763 - -3? 100446766 In base 3, what is 210202 - -122221100102? 122222011011 In base 9, what is 5 + 18240137? 18240143 In base 13, what is -3 - 87aa37? -87aa3a In base 8, what is -1206 + 23755? 22547 In base 6, what is 130355 - 131? 130224 In base 4, what is -1010021 + -111130? -1121211 In base 13, what is -4 - 502311? -502315 In base 2, what is -10 + -101111001001000000000101? -101111001001000000000111 In base 16, what is 1 - b612f54? -b612f53 In base 14, what is 85b1ddd - -5? 85b2004 In base 2, what is 1001000111110101000 - -100011010011? 1001001100001111011 In base 14, what is dc6a - 356? d914 In base 10, what is -483917 + -98? -484015 In base 15, what is 716a563 + -9? 716a559 In base 13, what is -c841785 - 2? -c841787 In base 6, what is 104250400443 + 4? 104250400451 In base 4, what is -1300 - -1012222012? 1012220112 In base 12, what is -101377 + -40? -1013b7 In base 3, what is -21 - 10111211000222? -10111211001020 In base 9, what is -20767 + -81417? -112285 In base 7, what is 3122313036 + 0? 3122313036 In base 4, what is 31310 - -101223231? 101321201 In base 6, what is 1344244155 + -5? 1344244150 In base 11, what is -a + 48a80a1? 48a8092 In base 4, what is -102110 - 1233010? -2001120 In base 9, what is 54708 + -77? 54621 In base 15, what is 6ad - b8085? -b78c7 In base 15, what is 1c4b + -6a6a? -4d1e In base 15, what is -247 - 3e3a6? -3e5ed In base 13, what is 34b1b42 + 4? 34b1b46 In base 15, what is 29 - ba56? -ba2c In base 15, what is -5 - 744079? -74407e In base 4, what is 131333210310 - -20? 131333210330 In base 15, what is -20d5 + 34a? -1c8a In base 13, what is -14 - 1297346? -129735a In base 14, what is -48 - 1095b? -109a5 In base 11, what is -175 + 1494004? 149393a In base 10, what is -1 - -40220097? 40220096 In base 14, what is 4c4 - -83130? 83614 In base 13, what is 46238 - -180? 463b8 In base 9, what is -6 - 4274553? -4274560 In base 2, what is 1111 - 10000000010111111111? -10000000010111110000 In base 12, what is -4653 + -a8? -473b In base 16, what is 5 - -bee39? bee3e In base 11, what is -186461 + 184? -186288 In base 11, what is 127 + 17609aa? 1761026 In base 3, what is 11111212 + -1200111? 2211101 In base 2, what is 10000010001110 + 100000110? 10000110010100 In base 13, what is -143a + -5b9b? -7308 In base 7, what is -105100 - 13421? -121521 In base 9, what is -15667 - 1880? -17657 In base 6, what is 111 - -25521431? 25521542 In base 4, what is -103031110 + 313? -103030131 In base 12, what is -387444bab - 5? -387444bb4 In base 8, what is -1162 - 105106? -106270 In base 7, what is 10132624 - 0? 10132624 In base 12, what is -293 + -a587? -a85a In base 2, what is -11 + 1000000010100000010101101111? 1000000010100000010101101100 In base 8, what is 1306 - -4654? 6162 In base 9, what is 5170832 - -45? 5170877 In base 13, what is -27 - 13240? -13267 In base 12, what is -3067 + 551b8? 52151 In base 14, what is 11 - -59239? 5924a In base 6, what is -23432312 - 110? -23432422 In base 3, what is -1 - -102010100001201020? 102010100001201012 In base 13, what is 1 - 51933b0? -51933ac In base 11, what is -1861 + -968? -2719 In base 15, what is -6 + 48765a5? 487659e In base 2, what is -100 + -1000010000011000000100? -1000010000011000001000 In base 3, what is -1000121210120100111 + 12? -1000121210120100022 In base 12, what is -1a081047 + -2? -1a081049 In base 3, what is 11111120 + -1020012000? -1001200110 In base 13, what is -157858 + -8? -157863 In base 2, what is -1110011011 - -100101011001? 10110111110 In base 10, what is 440071 - -2? 440073 In base 15, what is -186 - 47884? -47a1a In base 4, what is -112 + -323000230031? -323000230203 In base 7, what is 2 - -1330406224? 1330406226 In base 15, what is 4 - 42d973? -42d96e In base 13, what is -2672 + 627? -2048 In base 14, what is 5 + 6c85c3? 6c85c8 In base 5, what is -33000 - -12224323? 12141323 In base 13, what is 5 - 128886c0? -128886b8 In base 9, what is -2 - -273563514? 273563512 In base 8, what is 36 - -5033? 5071 In base 6, what is 4 + 44225351421? 44225351425 In base 13, what is -6351bc2 - -8? -6351bb7 In base 10, what is 4 - -18345090? 18345094 In base 8, what is 3 - -11447552? 11447555 In base 12, what is -b552b7a + 29? -b552b51 In base 4, what is -121 - -10031333100? 10031332313 In base 3, what is 11201002220 + 1122010? 11202202000 In base 12, what is 16 - 2a4512? -2a44b8 In base 11, what is 12150671 - 0? 12150671 In base 8, what is 1 - 322642576? -322642575 In base 4, what is 211323101031213 + 2? 211323101031221 In base 15, what is 3 + -1392d906? -1392d903 In base 5, what is -340102 - 31412? -422014 In base 15, what is -1ac02e + -b? -1ac03a In base 8, what is -3266201 - 27? -3266230 In base 14, what is 3642 - -496? 3ad8 In base 2, what is -111001 + -1100110011010111? -1100110100010000 In base 11, what is -222579 + -14? -222592 In base 12, what is -49040a - 4? -490412 In base 12, what is -177a + 2686? b08 In base 7, what is 166225 - -15004? 214232 In base 5, what is 24 - -14032310330? 14032310404 In base 16, what is -1f255 - -f9? -1f15c In base 13, what is b51751 - 46? b51708 In base 12, what is -7624 + -2a? -7652 In base 5, what is -21042044312 - -221? -21042044041 In base 9, what is -4 - -87384764? 87384760 In base 15, what is 192e00 + 139? 193039 In base 10, what is -30 - 511472? -511502 In base 16, what is -365 - 3243d? -327a2 In base 7, what is -2 + -45262031? -45262033 In base 5, what is 22242011332 - -3? 22242011340 In base 13, what is 3076ac + -34? 307678 In base 13, what is -304c5 - c8? -305c0 In base 14, what is 15c4812 - 14? 15c47dc In base 14, what is -540217 + -1? -540218 In base 8, what is 6142 - -206244? 214406 In base 14, what is -6b2ac - 2b? -6b2d9 In base 9, what is -22 - -7076272? 7076250 In base 11, what is -2641a + -121a? -27639 In base 2, what is 1110100111011000 - 1010000111? 1110011101010001 In base 11, what is -91635 + -69? -916a3 In base 13, what is 615b4ab - -3? 615b4b1 In base 2, what is 111111000010001101 - 1011110101? 111110110110011000 In base 4, what is 100011 - -1302232? 2002303 In base 14, what is -147510 - 9b? -1475ab In base 2, what is -111011001010011100011000 + -100? -111011001010011100011100 In base 8, what is 65106710 + 3? 65106713 In base 6, what is 1554234135 + -4? 1554234131 In base 10, what is 131620352 - 8? 131620344 In base 7, what is 4561 - -221263? 226154 In base 13, what is 14bb723 + 2? 14bb725 In base 7, what is 10 + 6102125? 6102135 In base 4, what is 11000 - -233313213? 233330213 In base 9, what is -4 + 115644345? 115644341 In base 4, what is 231021011011 - 3
{ "pile_set_name": "DM Mathematics" }
(-8 - 10)). Which is the nearest to -0.1? (a) 0.4 (b) u (c) -3 (d) -119/3 b Let y = 6375 - 12617/2. Let x be 0/(-2)*-1 + 67. Let z = y - x. Which is the closest to z? (a) 2 (b) 0 (c) 9 b Let z = 1.941 + 2.059. What is the nearest to 0.05 in -3/2, 0, z, 18? 0 Suppose -5*n + 5*o = 15, 5*n = -4*o - 5 - 10. Let w = -264.9 + 265. Which is the closest to w? (a) 3 (b) n (c) -8 a Let u = -671/2373 - 1/339. Which is the nearest to u? (a) -4 (b) 9.6 (c) -3/5 c Suppose 2*i + 5 = -2*i + 3*l, -4*l = -4*i. Let f be (230/120)/23 + 1/4. Which is the nearest to f? (a) 0 (b) i (c) -2/13 a Suppose 7*t - 15*t = 0. Let m be (-3)/(-21)*(-3 + t). What is the closest to m in -1/6, 4, -1/2? -1/2 Let d be 58/(-66) + (-4)/(-12). Let v = -110223 + 110222.5. What is the nearest to 0.4 in v, -0.4, -14, d? -0.4 Let d(m) = -m + 1. Let u be d(-4). Let t(q) = q - 5. Let y be t(u). Suppose -428*g + 258 = -557*g. Which is the nearest to -1/5? (a) 3 (b) g (c) y c Let y(x) = x**3 + 39*x**2 + 36*x - 76. Let a be y(-38). What is the nearest to a in -228, -1, 1/2? 1/2 Let o = -6 + 6. Let l = -394.2 - -396.2. Which is the nearest to o? (a) l (b) 2/5 (c) 4 b Let h = -190.6 + 154. Let f = h - -34. Let j = -1.6 - f. What is the closest to j in 4, -2/3, 1/4? 1/4 Suppose 0 = -5*a - 0*a. Let y = 43.5 + -48. Let b = y - -4.5. What is the closest to b in a, -1/4, 3/4? a Let b be ((-8)/(-6))/((-1)/(-3)). Suppose -2 = 5*z - 3*z. Let g = 42.35 + -42.3. What is the nearest to -1 in z, b, g? z Suppose 7*c + 1653 + 2414 = 0. Let x = 581 + c. What is the nearest to x in 0.3, 4, 2/3, 0.06? 0.06 Let h be (-2)/28*2*2. Let m = -107 + 211/2. Which is the nearest to m? (a) h (b) 1/3 (c) -0.5 c Let g be (12/10)/(9/30). Let w = 155 - 155.2. Let l be 4/(-10) - (-6)/40. Which is the closest to l? (a) w (b) g (c) -17 a Let r = 381 + -359.2. Let g = -22 + r. Which is the nearest to -48? (a) g (b) -0.1 (c) -4/3 c Suppose -4*q - 7*n = -3*n + 12, 0 = -3*n - 12. Let w be (2 - 124/20) + 24/20. Which is the closest to w? (a) q (b) 2 (c) -4 c Let x be (-2)/33*(-2289)/(-1526). Let y be ((-8)/2 - -7) + -4. Which is the nearest to 2? (a) -0.2 (b) x (c) y (d) 1 d Let o = -384 + 383. Let n = -1038 + 1038.1. Which is the nearest to 1? (a) n (b) 0.2 (c) o (d) 0.066 b Let u = -0.06 - -0.16. Let i = 90 + -68. Let x = i - 21.7. Which is the closest to x? (a) u (b) 0 (c) -4 a Let p be 30/(-80)*(-270)/(-324)*8/(-10). Which is the nearest to -3? (a) p (b) -10/7 (c) -2 (d) -3 d Let h = 1016 - 3044/3. What is the closest to -40 in 1/2, -5, -1/6, h? -5 Let n = 1931.8 - 1652. Let f = n + -281. Which is the closest to 0? (a) -0.5 (b) f (c) 3 a Let r = 33 + -38. Let o be (-6)/(-5) - -5*2/r. Let z be ((-19)/133)/(-1 - 0). What is the closest to -1 in z, 0.1, o? o Let h = -9.56 + 10.56. Let s = 22 - 27.8. Let q = s - -6. What is the nearest to h in -1, q, 4/7? 4/7 Let v be -1 + (-1 - (-20)/11). Let r = 371 - 370.8. Let j = -40.4 + 41.4. Which is the nearest to j? (a) v (b) 6 (c) r c Let r = 0.05 - 1.05. Let o = 22937 + -22937.1. Which is the nearest to -1? (a) r (b) 140 (c) o a Let s = 23047 - 23047.2. What is the closest to 1314 in s, -2/9, -1/6? -1/6 Let w = 164.87 + -0.87. Let t = 164.5 - w. Which is the nearest to -1? (a) -2/3 (b) t (c) 0.3 a Let c = -0.264 - -3.524. Let s = 2.26 - c. Let m = 0.27 + -0.3. What is the nearest to m in 0.4, s, 3? 0.4 Let f = 8.93 - -904.07. Let z = -913.1 + f. Let j = 1 - -2. What is the nearest to 1 in z, j, -3/5? z Let g be 4/(-6) - 3/(-3). Let m = -40795 + 40795.3. What is the nearest to g in 0.31, 4, m? 0.31 Let d = 0.6099 - 0.0699. Let m = -1.54 + d. What is the nearest to m in -0.1, 1, 0? -0.1 Let j = -7293 - -7294. What is the nearest to 1/4 in 0.2, 20, j, -0.1? 0.2 Suppose 3*x + 2*f = 31, 260*f + 32 = 8*x + 259*f. Let r = -6 + 6.4. Which is the closest to -3? (a) -5 (b) r (c) x a Let k(n) = -2*n**2 + 41*n + 9. Let a be k(21). Let m be 0 - ((-3)/a - 15/140). Let y = 208 + -189. What is the nearest to 2/7 in m, 0.5, y? 0.5 Let l = -15190 + 15189.9. What is the closest to -1 in 14, 0, l, 10? l Let k = -6.81 + -2.69. Let t = k - -8.5. Which is the nearest to t? (a) 1 (b) -4/5 (c) -2 b Let w = -3.4 + 3. Let b = 23 - 22. Let r be (-5)/(-20)*3 - (-27)/(-36). What is the closest to b in 0.4, w, r? 0.4 Let n = -11987 + 11985. Which is the closest to 2/9? (a) 5 (b) -0.1 (c) n (d) 2 b Let k = 1.6931 + -1.8931. Which is the closest to 0? (a) 1/7 (b) k (c) -0.06 c Let w = 3648.8 + -3649. Which is the closest to -2/3? (a) -9/8 (b) w (c) -1 c Let q = 333.61 - 334. Let t = 0.09 + q. Which is the closest to 0? (a) t (b) 5/6 (c) -2/19 c Let s = -28.91 - -0.31. Let r = -31 - s. Let v = -1.9 - r. Which is the closest to 2? (a) 0.3 (b) -2 (c) v c Let h = 17.5 - 9. Let y = -8.2 + h. Which is the closest to 4? (a) -0.03 (b) y (c) -3 b Let v = 11488/9 + -1276. Which is the nearest to -13? (a) 0.4 (b) v (c) 2/7 (d) 2 c Let d = 4 - 4.2. Let m = -27 - -25.86. Let y = -0.64 - m. What is the closest to -2/7 in y, 0.1, d? d Suppose 17 = 5*i - 4*k + 6, -19 = -5*i - 4*k. Suppose 0 = -r + i. Let o = -13.7 + 9.7. What is the closest to -3 in r, o, 5? o Let n be 2*(-3 - (-147)/48). Let v = 3 - 4. Let j = 0.7 + v. What is the closest to -0.2 in 3/4, n, j? j Let i = 68.2 - -20.8. Let s = -67 - 24. Let v = i + s. Which is the nearest to v? (a) 0.3 (b) 1/2 (c) 2/5 a Let j = -3628 - -3629. What is the nearest to 0.05 in 0.1, -2/7, 9, j? 0.1 Let l = 0.13628 + -0.03628. What is the nearest to l in -28, -2, -1, 3? -1 Let s = 2 - 2.3. Suppose -1 = z - 53. Let y = z - 157/3. What is the closest to s in -3/7, y, -0.3? -0.3 Let u be 72/(-270)*2/((-4)/6). Let r = -13/6 + 5/6. Let z be 0/(-1)*(-2)/(-4). Which is the nearest to z? (a) u (b) r (c) -1/3 c Let w = 2502.5 + -2502. What is the nearest to 1/12 in w, -5, 1? w Let f = 0.04 - -6.96. Let l = f + -4. Let o = -285625 + 285625.5. Which is the nearest to l? (a) 4 (b) 1/3 (c) o a Let i = -47 + 8. Let m = i - -44. Let f = -40 + 41. Which is the closest to f? (a) -1/2 (b) m (c) 1/2 c Let x = 3851.6 - 3852. Which is the nearest to -0.06? (a) -3 (b) 1/5 (c) 0 (d) x c Let w = -2453 + 7360/3. Which is the nearest to -0.8? (a) -1/6 (b) 1/2 (c) w a Let r be (-33)/21*(-52)/286. Which is the closest to -0.4? (a) -4 (b) r (c) -3/2 b Let v be (-140)/(-77) + (-2 - 0). Let n = -134/195 - 22/195. Let u = -31/40 + 3/8. Which is the closest to u? (a) v (b) -0.6 (c) n b Let m = -0.3267 - -0.0437. Let u = 0.363 + m. Let a = 0.7 - 0.8. What is the closest to -0.1 in a, u, -2/13? a Let u = 108.836 - -0.164. Let p = u - 109.048. Let v = p - -10.048. Which is the nearest to 0.2? (a) v (b) -0.1 (c) -0.5 b Let w be (-8)/20 - 1190/25. Let o = 48 + w. Suppose 5*a + 1 = l - 2, o = l - 3. What is the nearest to -1 in 0.8, a, -1/3? -1/3 Suppose 46 = 4*m - 62. Let o = 11.154 + -8.154. Which is the closest to 1/3? (a) m (b) o (c) -5 b Let u be ((-1 - 58/(-14)) + -3)/(57/(-133)). What is the closest to 0.4 in u, 99, 1? 1 Let r = -54 - -56.11. Let x = r + 0.89. What is the closest to 3 in -0.3, 1/2, x? x Let z(b) = -b**2 - 14*b + 2. Let n be z(-14). Suppose -4*x + n*x = 10. Let a be ((-2)/(-25))/((-86)/430). What is the nearest to a in -1, x, -4/5? -4/5 Let h be -5*(-4 + (-15)/(-5)). Let l = 175 - 174. Which is the closest to l? (a) -4 (b) -5 (c) h c Let q = 75 + -80.5. Let t(s) = -7*s - 67. Let j be t(-10). Which is the nearest to q? (a) -4/5 (b) j (c) 5 (d) 0.1 a Suppose 3*z = -2*i + 76, -3*i + 126 = 4*z + z. Suppose 0 = -3*y - 9 + z. Let t = -6.7 - -7. What is the closest to 2 in t, 4, y? t Let h = -85.1 + 85. Let q = -416 + 412. What is the nearest to -1/5 in q, h, -0.2? -0.2 Let o = 26103/14510 + 3/2902. Let v be ((-1)/(-3))/((-7)/(-12)). Which is the nearest to -2? (a) o (b) 0.5 (c) v b Let m be 1/2 + -2 + 21/14. Suppose -2*z + m = 10. Which is the nearest to 1/4? (a) -8 (b) 2/5 (c) z b Let z = -0.3742064 - 0.0257936. Let u(w) = 4*w + 1. Let j be u(1). Which is the closest to -2/5? (a) z (b) -7 (c) j (d) -0.03 a Let j = -13753 - -13748. What is the closest to 0.9 in -20, -0.3, j, -2/3? -0.3 Let f(d) = -17*d - 24. Let c(i) = -48*i - 71. Let s(w) = 4*c(w) - 11*f(w). Let n be s(-4).
{ "pile_set_name": "DM Mathematics" }
closest to w in 0, -0.01, u? u Let y = 11 - 11.5. Let n = -5 + 5.2. Let w = 3/28 + 9/14. Which is the closest to n? (a) y (b) w (c) -3/2 b Let t = 7.18 + -3.18. What is the closest to t in -3, 2, 3, -1? 3 Let v = 77.801 - -1.199. Which is the closest to -1? (a) -1/2 (b) v (c) 4/5 a Let g = -18 + 19. Let l be (g/4)/((-6)/(-12)). Which is the closest to 0.1? (a) 4/9 (b) 0.4 (c) l b Let w(y) = 24*y**3 + y**2 - y + 1. Let h be w(1). Let m = h - 25. Let x = 16 + -11. What is the closest to m in x, -0.3, 1? -0.3 Let f be 9/(-6) + (-32029619)/34. Let a = -941620 - f. Let m = -429 + a. What is the nearest to 1 in m, 3, -5? m Let w = -20.2 + 19.8. Let v = -3/128 - 229/1152. Let s = -83/30 + 13/5. Which is the nearest to -0.1? (a) v (b) w (c) s c Let a = 2215 - 2212. What is the closest to 3/2 in 5, -3, -9, a? a Let z = 1014 - 1013. Let j = 15 - 18. Let u = -0.1 - -0.3. Which is the nearest to u? (a) z (b) -4 (c) j a Let b = -16877/22508 + -1/5627. Let x = -1.2 + 0.2. What is the nearest to x in -4, 14, b? b Let y = -986.91 - -987. What is the nearest to -1/19 in 0.1, y, -5, 0.5? y Let u = -13.19 + 0.19. Let g = 15 + u. Let q = -3 - -4. Which is the closest to q? (a) 1/5 (b) 4/7 (c) g b Let o = -38/29 + 476/319. Suppose 15 = 3*y - 0*y. Which is the nearest to 2? (a) y (b) -5 (c) o c Let s = 52 + -50. Suppose 0 = -4*o + 2*p - 5*p + 3, 3*o - 4*p + 4 = 0. Suppose n + 5 = -o. What is the closest to s in n, 0.02, 2? 2 Let p be 159/530*(-1)/(-3). Which is the closest to -2/3? (a) 3 (b) -0.3 (c) -0.1 (d) p b Let l = -4.807 - 0.193. Which is the closest to 2? (a) 0.2 (b) 118 (c) -0.1 (d) l a Suppose -15 = 2*u - s, 0 = u + 4*u + 2*s + 42. Let r be 5*2/u - -1. Let z = 189/4 + -47. Which is the nearest to z? (a) 0.4 (b) r (c) 3 a Suppose 0 - 6 = q. Let d = 115.8 + -116.8. Which is the nearest to q? (a) -0.2 (b) d (c) 2 b Let y be (5/10)/((-2)/6). Let t be (30/540)/(2/(-8)). Let r = -0.47 - 0.03. What is the closest to 1/2 in t, y, r? t Let q = -29 - -28.9. What is the closest to -20 in 4/9, 0.4, q? q Let t = -5 + 13. Let d = 9 - t. Let i = 5.032 + -0.032. Which is the closest to 0? (a) i (b) -0.2 (c) d b Let w = 0.67 + -0.77. What is the closest to 0 in 16, -0.2, w, 2? w Suppose -45*l = -55*l - 80. What is the nearest to l in 0, 1, -0.4? -0.4 Let w = -11 - -13. Let k = -4.2 + 4.4. What is the closest to 1 in 2/5, w, k? 2/5 Let u be -4*(-7 - (-52)/8). What is the closest to 1 in u, -3/5, -0.31? u Let s = -7 - -4. Let f = 1 + s. Let p = -0.62 + 0.12. Which is the closest to 0.1? (a) 2/9 (b) p (c) f a Let u = 198 - 1780/9. Let f(w) = w**2 + 7*w + 12. Let v be f(-5). Suppose -3*x + 3*x = -v*x. Which is the closest to 0? (a) u (b) -3/7 (c) x c Let d be (-1)/(-4) - 1/36. Suppose 0 = h + 4*i + 15, 0 = -7*h + 9*h - 5*i - 9. Let n = 60 - 239/4. Which is the closest to h? (a) d (b) n (c) -1/3 c Let i = 1220.06 - 1220. Which is the nearest to -1? (a) -1/3 (b) 2/15 (c) -6/7 (d) i c Let o be 5/(-56) - 2/(-70)*-10. Which is the nearest to -4/7? (a) o (b) 10 (c) -2/7 (d) 2 a Let u(y) = y - 7. Let n be u(4). Let s = 2 + n. Let l = -1405/1852 + 4/463. Which is the nearest to s? (a) -0.3 (b) -0.1 (c) l c Let p = 869/3991 - -4/307. Let v = -312 + 316. What is the closest to p in v, 3, -0.4? -0.4 Let x = 682 + -4091/6. What is the nearest to -9 in -0.4, -2/11, x? -0.4 Let v = 3 + -3. Let p = -1109 - -5582/5. Let a = -343/45 + p. What is the closest to v in a, 1/2, -1/4? a Let l = -1038/5 - -208. Which is the closest to l? (a) -0.1 (b) -5 (c) 1 (d) -2/21 d Let q be 2 + (42/7 - 9). Let t = -118/5 + 23. Which is the nearest to -2/3? (a) 5 (b) q (c) t c Let j = 659 + -663. Which is the nearest to 2/3? (a) -0.4 (b) j (c) 14 a Let a = -201.284 - -4.384. Let g = -211 - a. Let y = 14 + g. What is the closest to 6 in 1/4, -0.2, y? 1/4 Let f = -146.7 - -146.2. What is the nearest to -2/5 in f, -2/7, 1/5, 4? f Let x = -141.1 - -141. What is the closest to -1 in 2, -7, -5, x? x Let m = -133.9 - -134. Which is the closest to 0? (a) -2/7 (b) m (c) 0.06 c Let f = 0.725 + -1.725. What is the nearest to 3 in -0.2, f, -2/3? -0.2 Let f = 664 + -7973/12. Let g = f + 1/6. Let h = 1215/11 - 111. Which is the closest to g? (a) h (b) 2 (c) -0.2 c Let w = -12.9 - -12.9. Let r(d) = d**2 + 5*d + 1. Let y be r(-3). Which is the closest to -2? (a) y (b) w (c) 5 b Let t be (-1 - 25/(-27))/(34/51). Let u be (6/20)/(3/(-596)). Let k = -60 - u. Which is the closest to 0.1? (a) t (b) k (c) 5 a Let q(h) = 2*h + 15. Let x be q(-6). Suppose -3*v = -v - x*v. What is the nearest to 3 in v, 3/4, -3? 3/4 Let t be (-2)/3*(-3)/(-2). Let x be (t/26)/(141/(-486)). Let f = -1/47 - x. What is the closest to 0 in -1, 0.4, f? f Let v = -1.7 - 0.3. Let n be ((-36)/(-90))/((-36)/20). What is the nearest to v in 2, -9, n? n Let s = 23.44 - 23. Let y = s + -0.44. Which is the nearest to y? (a) 0.2 (b) -0.3 (c) 0.5 a Let g = -2299.4 - -2299. Which is the closest to 0? (a) 2 (b) -5 (c) g c Let p be 0 - 0 - 2/3. Let w = -72.8 + 90. Let u = 17 - w. What is the nearest to p in u, -0.3, 4? -0.3 Let w = -472 + 472.2. What is the nearest to 2/7 in 2, w, -0.1? w Let v = 5.7 - 0.7. Let t = -8.22 - 0.78. Let d = 145/196 + 1/98. What is the closest to t in v, -0.3, d? -0.3 Suppose -4*t - 4*f + 28 = 0, 2*f = 6*f - 16. What is the closest to -0.2 in t, 12, -0.5? -0.5 Suppose 0 = -3*q + 18 - 3. Let m be (8/(-10))/((-1980)/(-550)). What is the nearest to m in 3, q, 1/6? 1/6 Let b be (2 + 1)*(-2)/(-6). Let w = -0.839 + -1.161. Let j = 6 - 4. What is the nearest to b in w, 3, j? j Let g = 29.03 - 29. What is the nearest to -0.1 in 0, g, -2? 0 Let n = -1 + 2. Suppose 0 = 2*f - 6*f + 8. Let m be (-1)/(-6)*(-4 + f). Which is the closest to m? (a) 2/7 (b) n (c) -1/3 c Let j = 161/102 + -4/51. Let u(p) = -4 - 23 + p + 2*p + 5. Let s be u(7). Which is the closest to s? (a) -2 (b) -0.4 (c) j b Let i = 13/18 + -1/18. Let s = 1.55 + -6.53. Let w = s - 0.02. What is the closest to i in -0.3, -4, w? -0.3 Let n = 1.97 - -0.03. Suppose 4*v - 7*v = -51. Let x = 21 - v. What is the nearest to -1 in n, 2/15, x? 2/15 Let s be (-30)/56 - 2/(-8). Let q = -7638.9 + 7639. Which is the closest to s? (a) q (b) 0.14 (c) -1/7 c Let y = 1548 + -1571. What is the closest to 2 in y, 4, -5? 4 Let h = 1.85 - 1.75. Let q = -4999/56 + 680/7. Let m = q + -8. Which is the nearest to -2? (a) m (b) -3/2 (c) h b Let s = 22/17 + -164/153. Let x = 0.2 + 0. Let f = 0.3 - 0.2. What is the nearest to s in 0.3, x, f? x Let l = 4.23 + -4. Let h = 0.27 + l. What is the closest to -0.1 in h, 2, 3? h Let h = -295 - -296. What is the nearest to 0.1 in 0.02, h, 5? 0.02 Let x = 1.9 - 2. Let z = -276 + 1929/7. Let g = 6.506 + -6.516. What is the nearest to x in z, g, -4? g Let t = 62 - 110. Let u = -44 - t. Which is the closest to -0.2? (a) 0.2 (b) 2 (c) u a Let f = -54 - -58. Let k be (6/f)/(42/(-8) - -3). What is the closest to 1 in -0.1, k, 0.2? 0.2 Let c = -4 + 8. Suppose -2*i = g + 3, -26*g - 2 = -22*g - 2*i. What is the nearest to -1 in g, c, -16? g Suppose -5*i = -5*n - 20, 2*i - 4*i - 20 = 5*n. What is the closest to i in 0.5, -0.092, -1/4? -0.092 Suppose 11*i - 10*i = -q - 1, 5*i = 2*q + 2. Which is the nearest to i? (a) 4 (b) 0 (c) -30/7 b Let d = -413 - -412. Which is the closest to d? (a) -2 (b) -4 (c) 4 a Let k = -690 - -685. Which is the closest to 3? (a) 5 (b) -0.05 (c) k a Let q = -4 - -1. Let k be (-3 - -4 - 5)/(2/(-6)). Suppose -13*i + k*i + 3 = 0. What is the nearest to i in q, -2, 0.2? 0.2 Let l = -57 + 49. Let r be (l/(-60))/(3/(6 + 3)). Which is the closest to r? (a) 1 (b) -17 (c) 2 a Let m = 509/4 - 127. Let x = 3 - 4. Let t = 171 + -168. What is the nearest to x in m, t, -1/5? -1/5 Let g = -32 - -31.7. What is the nearest to 2/3 in 1/7, g, 0.2, -0.1? 0.2 Let z = 293/6 + -49. Let v = 0.011 + -0.221. Let q = 0.31 + v. Which is the nearest to z? (a) q (b) 4 (c) 0 c Let n be 34/(-132) + 1/6. Let t = n - -27/55. Let b = -223/276 + 4/69. What is the nearest to t in b, 0.2, 0.4? 0.4 Let z(f) = 4*f**3 + 2*f + 1. Suppose 3*u = 2*j + 14 - 4, -6 = -u + 2*j. Suppose u = -12*a + 10*a. Let y be z(a). What is the nearest to -0.2 in y, 1/8, -3? 1/8 Let j = 1/547 - 1105/6017.
{ "pile_set_name": "DM Mathematics" }
9*276/1012 -2/11 What is the value of (6/5)/3*1107300/(-55365)? -8 (-351)/(236925/9300)*(-4)/(-16)*18 -62 (-40)/(1600/(-60))*20/24*-2 -5/2 Calculate 6/(-11)*(49940/5940)/227. -2/99 Calculate 54/(-2349)*-116*18. 48 What is the value of 212/1749*(-2)/((-1)/(3/44))? 2/121 Calculate 5/(-20*(-15*(-1)/(-10))/354). 59 What is 138/(-299)*2080/(-240)? 4 (168/63)/((-17)/((-61557)/136)) 71 (7/((-10458)/12))/((-11)/231*56/(-8)) -2/83 Calculate ((-101640)/(-297))/(-44)*((-45)/(-3))/5*-3. 70 What is the value of (-2)/4*(-400)/(-810)*9? -20/9 Evaluate 9*25/(-450)*(-68)/2. 17 (-26*(-52)/(-9464))/2 -1/14 4068/57630*21/(63/(-30)) -12/17 What is the value of 840/252*4*(-27)/(-8)? 45 What is ((-716)/6981*18/4)/(7/(189/(-6)))? 27/13 (45/(-3840)*2/(-1))/((150/(-40))/(-5)) 1/32 What is (-120)/44*444125/(-9690)? 125 Evaluate -32*((-804)/24)/(-67). -16 What is ((-60)/((-16)/4))/((-3)/8*1)? -40 Evaluate ((-25)/(-1)*136/544)/((-15)/(-6)). 5/2 What is the value of (((-27278)/276)/593)/(-2*1/(-136))? -34/3 Calculate ((-350)/125)/(469/(-9715)). 58 Calculate 15*100/15*(-25)/(-200)*2. 25 What is (3/152)/(((-57)/(-304))/(-1))? -2/19 What is 24/39*(-416)/(-3968)? 2/31 Calculate (80/288*(-3)/(-15))/((-342)/2565). -5/12 Evaluate (136/(-17))/(-2)*21/3. 28 What is the value of 10*(-2)/(-1)*10/200*4/(-5)? -4/5 (1067940/(-255))/349*44/(-6) 88 Evaluate ((-33)/(-11))/((6/5)/((-740)/(-25))). 74 Evaluate (117*(-12)/(-108))/((-2)/(-2))*-5. -65 What is (-154)/9009*-54*2? 24/13 Evaluate 13*(-27)/(-94770)*(-6)/9*6. -2/135 Evaluate 30/20*35*116/(-145). -42 Evaluate (-231)/2772*2*(-3)/36*-8. -1/9 Calculate (((-96876)/(-1287))/(-138))/((-1)/33). 18 What is (972/(-216))/(-9)*-70? -35 Calculate ((168981/(-79))/(-23))/1. 93 Evaluate 58/203*-3*(-28)/150. 4/25 Calculate ((-51)/14)/(100/350)*4. -51 7*(68/(-918))/(2/9) -7/3 Calculate ((-279)/62)/(2/8)*15/10. -27 What is (2/21)/((-8)/(-84)*(1568/96)/7)? 3/7 Calculate (-981)/((-31392)/(-11392))*((-2)/(-6))/(8/(-6)). 89 What is the value of ((-522)/144)/((-1)/(-4))*12/((-42)/7)? 29 Evaluate 12*((-2)/((-2)/2))/(2646/441). 4 Evaluate 81/(14580/1116)*-5. -31 Calculate ((-1209)/26)/((-54)/(-36)). -31 What is the value of ((-35)/245)/((-10)/(-12)*(-4)/70)? 3 Calculate (((-119621)/(-148))/(-61))/(1*(-1)/4). 53 (676/(-507))/(370/(-148)*(-8)/690) -46 What is the value of ((-648)/40*5500/660)/1? -135 (-8)/(((-378)/70)/27*5) 8 Calculate (-6*8/(-624))/(35/(-70)*(-6)/(-12)). -4/13 What is the value of (((-8059778)/1345)/(-211))/((4/3)/(40/12))? 71 (((-16)/(-14))/((-2)/(-8)))/(390*(-226)/(-616980)) 32 Evaluate ((-18)/(-30))/((12/(-186))/(106/(-159))). 31/5 What is the value of (910*86/903)/((-4)/6)? -130 Evaluate ((-774358)/(-5135))/((-91)/(-35)). 58 Calculate 957/(-44)*120/45. -58 Calculate 17/(6120/(-96))*60/(-2). 8 Evaluate (20/42*(-115)/(-1150))/((-16)/72). -3/14 Calculate (94/(40420/43))/(36/(-2040)). -17/3 What is the value of -54*(-32)/864*-10? -20 Calculate (19*261/(-6061))/(4/(-22))*(-30)/(-3). 45 What is 271656/14014*(-78)/(-21)? 72 Evaluate 12/10*((-38286675)/(-730))/567. 111 (-144)/(26352/915)*2/((-20)/(-2)) -1 What is (607/1214)/(115/(-4))? -2/115 What is ((-282)/423)/((-28)/186)*-14? -62 What is 1064/5985*(-10)/4*(-140)/8*1? 70/9 (-34)/(-204)*20*(-6)/5 -4 Evaluate 30/(-2)*(-9)/12. 45/4 Evaluate 5991609/4586*(-4)/(-78). 67 What is ((-2)/7)/(((-60)/6)/((-371)/(-106)))? 1/10 What is the value of (-216)/8262*663/(-234)? 2/27 What is ((-1050)/(-8))/(-21)*12/8*(-16)/6? 25 (2/4*1)/(((-560)/(-350))/(-8)) -5/2 ((-500)/2)/(((-255)/1071*7)/((-8)/(-12))) 100 What is (51/561)/((-84)/(-154))? 1/6 What is (-35)/(((-6393)/10655)/((-3)/(-5)))? 35 What is (((-54)/36)/((-16)/(-32)))/(2/(-10))? 15 What is the value of ((-36)/81*(-7290)/100)/(4/10)? 81 ((3/20)/((56/7)/(-576)))/((-230)/575) 27 What is 5/(-350)*(-12403440)/3852? 46 What is the value of 158/6399*-3*-243? 18 Calculate -19*(-360)/1520*160/(-24). -30 What is the value of (-342447)/12762*(-54)/21? 69 What is the value of (18/(-9))/(((208/364)/((-25)/(-35)))/4)? -10 What is 52840/99075*15*-2? -16 What is 24/195*16650/555*26? 96 -2*-1*(-10)/(-8)*(-12)/2835*-63 2/3 Calculate ((-768)/(-32))/(-6168)*2. -2/257 What is the value of ((-600)/(2460/(-41)))/(((-2)/(-28))/(7/(-14)))? -70 What is the value of (7/4)/(3290/16920)? 9 What is (32565/(-668))/(78/104)? -65 What is 2394/513*18/(-441)? -4/21 What is ((-21)/21)/((-166)/11786)? 71 What is the value of (164382/(-136985))/(21*-2)? 1/35 Calculate 4/(((-6)/(-12)*1)/(99/(-8514))). -4/43 Calculate ((-324)/(-1620))/((-12)/(-10)). 1/6 What is the value of (790/1580)/(1*3/(-92))? -46/3 (-70)/(-42)*-7*12/4 -35 What is the value of 16/(-10)*((-90)/(-48)*-2)/37? 6/37 Evaluate ((3/(-10))/3)/(42/(-27)*(-846)/(-1410)). 3/28 Evaluate (36/(-288))/(34/(-2448)). 9 What is the value of (-4*27/(-150))/((126/15)/21)? 9/5 What is the value of (-1014)/52*(54/189)/(3/(-7))? 13 Calculate (152663/(-3860))/(-113)*3/(-210)*-6. 3/100 What is (-10)/(-18)*316/(-1580)? -1/9 Evaluate (2/6)/((-260)/(-130)*2/(-336)). -28 Evaluate (((-16)/4)/(-4))/(8/(-144)*-18)*62. 62 What is the value of 42*((-204)/68)/30? -21/5 Evaluate (9/((-1746)/(-97)))/(26/8). 2/13 Evaluate 1440/433440*215/10. 1/14 What is the value of ((-1581)/186)/(2/(-2)*7/(-7)*-1)? 17/2 Evaluate (-10710)/(-595)*56/(-18). -56 What is the value of (66*(-86)/(-7095))/((22740/25)/6)? 2/379 Calculate (2/(2/1)*(-60)/150)/(278/44480). -64 Calculate ((-2651)/723)/(6/(-45)*(-12)/(-24)). 55 -7*(576/56)/(-18) 4 What is ((-228)/228*2/6)/(1/(-111))? 37 Evaluate 15/(-4)*(-148)/222*(-1)/50. -1/20 What is the value of ((-14)/(-40)*5)/(295568/12992)? 1/13 Evaluate (-500)/(-25)*(558/40)/9. 31 Calculate 10816/(-17576)*13/30. -4/15 28/21*-1*(-3)/(-116)*6/1 -6/29 What is the value of (-585)/12350*10*32/(-24)? 12/19 (-192)/(-704)*(816/(-34))/144 -1/22 Evaluate (22*(-2)/(-9))/(43/((-10836)/56)). -22 ((-1)/1)/(28/36*(-108)/504) 6 Evaluate 249/(-581)*3*((-16)/(-72))/(56/(-4)). 1/49 Evaluate (36/96)/((44/4)/1936). 66 Evaluate (57/(-76)*(-32)/(-18))/((-9)/(1215/(-6))). -30 What is the value of (-11)/(-22)*20/15*4/8? 1/3 Evaluate 3/15*15*(-156)/(-3159)*(-45)/(-6). 10/9 (4/((-8)/(320/140)))/(10/(-315)) 36 (4/42)/((-71)/(-7455)) 10 Evaluate (-33)/6*(-208)/52. 22 What is 12520/2817*(-450)/40? -50 What is the value of ((-6)/((342/(-12))/1))/((-728)/28)? -2/247 Evaluate (-13*16/832)/(5*2/(-56)). 7/5 Evaluate ((-28)/(-49))/(225/(-630)*2). -4/5 Evaluate -66*(-5)/45*(-648)/297. -16 What is the value of ((-92)/161*(-14)/12)/(35/(-735))? -14 What is 1/(10/(-126))*(-12644)/(-44254)? -18/5 Evaluate 8/30*248/(11609872/(-3945)). -2/89 What is ((-60)/(-1))/4*(-1485)/(-90)*(-4)/18? -55 (4*(-1)/(-14))/((-21)/(-30)*20/(-35)) -5/7 ((-180)/2400*20)/(6/116*-1) 29 What is 120/(-6)*3/((-42)/(-14))? -20 What is (91/(-43043)*-301)/((-1)/(-2))? 14/11 What is (1505/(-430))/(((-50)/(-75))/(16/(-546)))? 2/13 What is the value of (476/1700)/(3/(-75))? -7 What is ((-3)/(18/2))/(70*(-50)/14700)? 7/5 Calculate (124/((-29760)/(-2700)))/((-6)/16). -30 Evaluate (-22152)/(-5964)*7*-1. -26 ((-315)/2240)/((-126)/336) 3/8 ((-240)/(-1428))/((-61)/(5978/(-28))) 10/17 What is the value of (-13*(-58)/(-53534))/(2/4)? -2/71 What is the value of (-2)/(((-510)/4080)/((-2)/(-6)))*(-3)/2? -8 What is the value of ((-116)/(-261)*-9)/18? -2/9 What is (-1638)/(-1365)*(-200)/(-2)*(-25)/40? -75 What is (-1)/2*39*(24/7)/(-6)*7? 78 16*21980/(-25120)*(2/2)/((-7)/(-6)) -12 Evaluate (50/(-12))/((168/(-12))/(-42))*(-1128)/(-2820). -5 (78234/3776)/221*32/(-12) -1/4 Evaluate (-26)/12*14697/(-297206). 3/28 What is (-26*(-220)/715)/(-8)? -1 What is ((-1)/(-172))/(((-4409)/193996)/(6/22))? -3/43 ((-4377)/1459*(-2)/28*-2)/(1/(-14)) 6 Evaluate (2120/(-1590))/(((-56)/(-726))/7). -121 What is ((-27)/(-108))/(63/(-7))? -1/36 Evaluate ((6*-1)/(12/126))/((-34447)/29526). 54 What is (350/(-945))/(-10)*30? 10/9 Evaluate (-1628*2725/(-143880))/(-2*10/(-48)). 74 ((-4030)/465*(-3)/(-8))/(7*2/(-56)) 13 Calculate 3*(-5)/(-6)*(-984)/410. -6 (-87)/261*(-203)/58 7/6 ((-75)/(-45))/((-9)/((-54270)/150)) 67 Calculate (189/(-42))/((-58)/58). 9/2 (8/20)/((-53)/((-85860)/(-144))) -9/2 What is the value of 980/210*1512/72? 98 Evaluate (-3)/30*278/(-278). 1/10 What is ((-720)/(-189))/(4595/8271)? 48/7 What is ((144/(-30))/(-6)*550/(-350))/((-4)/30)? 66/7 W
{ "pile_set_name": "DM Mathematics" }
= l**3 + 2*l. Let h(b) = -5*b**3 - b**2 - 11*b. Let w = 56 + -57. Let k = w + 3. Let u(j) = k*h(j) + 11*o(j). Factor u(r). r**2*(r - 2) Solve -100*h**3 + 391*h - 819 - 80*h**2 - h**4 - 4*h**4 - 1341 + 1289*h = 0 for h. -18, -6, 2 Let s(n) be the first derivative of n**3/21 - 120*n**2/7 - 2539. Determine v, given that s(v) = 0. 0, 240 Let l(x) be the third derivative of -x**5/40 - 27*x**4/16 - 25*x**3/2 + 615*x**2. Find j such that l(j) = 0. -25, -2 Suppose -2*y = -10 - 0. Suppose -4*c - 3 - y = -s, 0 = -4*s + 5*c + 87. Let 4*j**3 - s*j - 8*j**4 - 4*j**4 + 28*j = 0. What is j? 0, 1/3 Let b(u) be the first derivative of 4*u**6/45 - 13*u**5/15 - 7*u**4/9 + 21*u - 142. Let x(c) be the first derivative of b(c). Factor x(j). 4*j**2*(j - 7)*(2*j + 1)/3 Let g(u) = -5 - 3*u**2 + 5 + 26*u - u**2 - 4 + 6*u**2. Let n be g(-14). Find l such that 4/3*l**2 + 108 + n*l = 0. -9 Suppose 50*t**2 + 38/9*t**4 + 0*t - 94/3*t**3 + 2/9*t**5 + 0 = 0. What is t? -25, 0, 3 Let t(w) be the second derivative of 3*w**5/20 + 505*w**4/4 + 1007*w**3/2 + 1509*w**2/2 + w + 126. Factor t(v). 3*(v + 1)**2*(v + 503) Let z(f) be the third derivative of -f**7/210 - 25*f**6/8 - 34589*f**5/60 + 35469*f**4/8 - 11907*f**3 + 6539*f**2. Find r, given that z(r) = 0. -189, 1, 2 Let h(w) be the first derivative of 3*w**4/20 + 33*w**3/5 + 513*w**2/10 + 729*w/5 - 986. Let h(g) = 0. Calculate g. -27, -3 Let u(q) be the first derivative of q**4/4 - 4*q**3/3 + q**2/2 + 6*q - 7652. Factor u(r). (r - 3)*(r - 2)*(r + 1) Suppose -4*a + 1 = -3. Let s be (a - -4) + (5 - 7). Solve 39*b - 1 + 70*b**s - 260*b**4 + 150*b**2 + 4 + 26*b**3 - 28*b**4 = 0 for b. -1/4, -1/6, 1 Let -2*i**3 - 1970/7*i**2 - 1144/7 + 4568/7*i = 0. Calculate i. -143, 2/7, 2 Let c(r) be the third derivative of 8/3*r**4 + 0*r + 1/105*r**7 - 1/10*r**5 - 20/3*r**3 + 184*r**2 - 1/6*r**6 + 0. Factor c(d). 2*(d - 10)*(d - 1)**2*(d + 2) Let n(y) be the first derivative of y**6/27 - 28*y**5/9 + 511*y**4/18 - 1844*y**3/27 - 512*y**2/9 + 1984*y/9 - 6026. Let n(u) = 0. What is u? -1, 1, 4, 62 Suppose -2*s = -13 + 7. Suppose 0 = c - 3*c - s*a + 1, 0 = -a - 5. Let 2*k**3 - 2*k**4 - 5*k**5 + c*k**2 + 18*k + 2 + 4*k**5 - 11*k = 0. Calculate k. -1, 2 Let y(p) be the third derivative of 0*p - 1/15*p**5 - 2*p**3 + 79*p**2 + 0 + 2/3*p**4. Factor y(z). -4*(z - 3)*(z - 1) Let z = -74 + 74. Suppose 0 = -5*v + 3*m + 14139, -2*v + 4*m = -z*v - 5664. Factor -2898*o - 51 - 3*o**2 - 273 - o**2 + v*o. -4*(o + 9)**2 Let t(x) = -31*x + 219. Let y be t(7). Let -88 - 2*f**2 + 23*f + 31*f + 0*f**y - 6*f = 0. What is f? 2, 22 Let b(o) be the first derivative of -o**5 + 25*o**4/4 + 5*o**3 - 85*o**2/2 + 50*o + 248. Find x, given that b(x) = 0. -2, 1, 5 Let t = 937550 + -60944126/65. Let f = t + 696/13. Factor 0*y + f + 2/5*y**3 - 6/5*y**2. 2*(y - 2)**2*(y + 1)/5 Let q(s) be the second derivative of -s**6/135 - 7*s**5/90 - 8*s**4/27 - 4*s**3/9 + 42*s - 17. Factor q(v). -2*v*(v + 2)**2*(v + 3)/9 Let w = 576 + -578. Let y(x) = -17*x**2 - 10*x. Let t(m) = -5*m**2 - 3*m. Let p(f) = w*y(f) + 7*t(f). Factor p(u). -u*(u + 1) Let q(u) = 3*u**2 - 7*u - 8. Let d(s) = 2*s**2 - 8*s - 10. Let l be (-108)/(-26) - -4*(-4)/104. Let c(k) = l*q(k) - 5*d(k). Factor c(w). 2*(w + 3)**2 Let x(d) be the second derivative of d**3/6 + d**2/2 + 7*d + 2. Let c(b) = b**2 + 8*b + 6. Let g(a) = c(a) - 6*x(a). Determine w so that g(w) = 0. -2, 0 Let s(u) be the first derivative of -2*u**5/35 - u**4/2 - 16*u**3/21 + 16*u**2/7 + 205. What is q in s(q) = 0? -4, 0, 1 Let k(l) = -3*l + 5. Let q be k(-3). Let o(t) = -t**3 + 15*t**2 - 14*t + 3. Let c be o(q). Factor 11*y**3 + 67*y**4 + 4*y**c - 10*y**2 - 57*y**4. 5*y**2*(y + 2)*(2*y - 1) Find d such that 120*d + 2*d**2 + 2746 - 2620 - 88*d = 0. -9, -7 Suppose -11 - 3*z**3 + 2*z**2 - 3 - 4 - 26*z**2 + 0*z**3 - 39*z = 0. Calculate z. -6, -1 Let p(k) be the third derivative of k**8/336 + 3*k**7/7 - 93*k**6/40 + 890*k**2. Find m such that p(m) = 0. -93, 0, 3 Suppose 93*i = -65 + 6947. Factor -i*y**4 + 0 + 1372*y + 1050*y**3 - 5096*y**2 + 7/4*y**5. y*(y - 14)**3*(7*y - 2)/4 Find r, given that -3851792*r + 2/7*r**4 + 48552*r**2 + 0 - 204*r**3 = 0. 0, 238 Let a be 6 - (201285/(-4086))/(-9). Let t = -6/227 + a. Factor -1/4*i - t + 1/4*i**2. (i - 2)*(i + 1)/4 Let h(g) = -21*g**3 + 413*g**2 + 234*g - 264. Let i(b) = -21*b**3 + 408*b**2 + 237*b - 264. Let r(q) = -9*h(q) + 8*i(q). Factor r(v). 3*(v - 22)*(v + 1)*(7*v - 4) Let g = 2 - 2. Let d = -409119 - -409121. Factor -3/7*n**d + g*n + 3/7*n**5 + 3/7*n**4 - 3/7*n**3 + 0. 3*n**2*(n - 1)*(n + 1)**2/7 Factor 0*c - 2/5*c**3 + 0 - 352/5*c**2. -2*c**2*(c + 176)/5 Let n(s) be the second derivative of 5/4*s**4 + 0 - 14/3*s**3 + 33/2*s**2 - 1/30*s**5 + 16*s. Let m(y) be the first derivative of n(y). Factor m(v). -2*(v - 14)*(v - 1) Solve 94*h**4 + 50*h**4 - 155*h - 17*h**3 - 72*h**2 + 140*h - 27*h**5 - 13*h**3 = 0 for h. -1/3, 0, 1, 5 Let k = 57 - -130. Let t = k + -79. Determine o so that -36 - 3*o**4 + 46 - t*o**2 + 54 - 50*o**3 - 3*o**4 = 0. -4, -1, 2/3 Let r(j) be the second derivative of -9/13*j**3 - 6 + 0*j**4 + 0*j**2 + 1/273*j**7 + 9/65*j**5 + 6*j + 8/195*j**6. Suppose r(n) = 0. What is n? -3, 0, 1 Determine y, given that -28/3 + 2/9*y**2 + 82/9*y = 0. -42, 1 Let j(m) be the second derivative of 2 + 1800*m**2 + 1/3*m**4 + 40*m**3 + 31*m. Factor j(s). 4*(s + 30)**2 Let -1/3*q**3 - 17*q - 9*q**2 - 25/3 = 0. What is q? -25, -1 Let l(m) = -m**2 - m. Let j(t) be the third derivative of t**5/15 + 5*t**4/12 - t**3/3 - 74*t**2 + 1. Let a(k) = j(k) + 6*l(k). Factor a(v). -2*(v - 1)**2 Suppose 16 = -75*g + 83*g. Let 0*u**4 + 673*u**5 - 675*u**5 - 8*u**4 + 20*u**2 + 12*u**3 + g*u**3 = 0. What is u? -5, -1, 0, 2 Let h(v) be the second derivative of 15*v**2 - v + 5/12*v**4 + 35/6*v**3 + 47. What is f in h(f) = 0? -6, -1 Let u(s) = 17*s**3 - 3*s**2 + 1. Let l(o) = -33*o**3 + 13*o**2 - o - 9. Let k(p) = 3*l(p) + 6*u(p). Suppose k(b) = 0. Calculate b. -7, -1, 1 Let n(l) = 3*l**2 + 14*l + 13. Let c(o) = -o**2 + 5*o + 23. Let j be c(-3). Let s(q) = -1. Let b(w) = j*n(w) - 5*s(w). Factor b(a). -(a + 4)*(3*a + 2) Let g(k) be the third derivative of -k**9/15120 + k**8/1344 - k**4/12 - 32*k**3/3 - 88*k**2. Let l(u) be the second derivative of g(u). Factor l(x). -x**3*(x - 5) Let g = -19/14629 - -43982/73145. Factor -18/5*a**3 + 0 + 0*a - g*a**4 + 21/5*a**2. -3*a**2*(a - 1)*(a + 7)/5 Let o(n) be the third derivative of 3/2*n**4 + 4*n**3 + 1/10*n**5 + 1 + 15*n**2 - 3/40*n**6 - 1/70*n**7 + 0*n. Solve o(j) = 0. -2, -1, 2 Let p(w) be the second derivative of 9*w**5/35 - 313*w**4/21 + 472*w**3/21 + 136*w**2/7 + 5871*w. Let p(z) = 0. Calculate z. -2/9, 1, 34 Let x(a) be the third derivative of a**5/40 - 7*a**4 + 327*a**3/4 - a**2 + 1867*a. Solve x(n) = 0 for n. 3, 109 Let y(r) be the third derivative of -r**5/5 + 23*r**4/8 + 105*r**3/2 + 5178*r**2. Factor y(a). -3*(a + 3)*(4*a - 35) Let v(t) be the third derivative of t**7/4200 - t**5/200 - t**4/60 - 46*t**3/3 + 18*t**2. Let r(l) be the first derivative of v(l). Suppose r(d) = 0. What is d? -1, 2 Let s = 237 - -162. Let g = -397 + s. Factor 0 - 98*a**5 + 14*a**4 + 16/7*a + 60*a**3 + 152/7*a**g. -2*a*(a - 1)*(7*a + 2)**3/7 Let q(v) = 4 - 11 - 15*v - 4*v**2 + 3*v. Suppose 2*r - 4 + 0 = 0, -s - 1 = -4*r. Let o(k) = 3*k**2 + 8*k + 5. Let d(m) = s*o(m) + 5*q(m). Factor d(t). t*(t - 4) Let t = 4324 - 4321. Find k, given that 24/5*k**2 + 26/15 + 4/3*k**t + 76/15*k - 2/15*k**4 = 0. -1, 13 Let h be 15 + -6 + (71 - -20)/(-13). Factor 0*b**h - 1/2*b**4 - 1/4*b**3 + 0 + 0*b - 1/4*b**5. -b**3*(b + 1)**2/4 Let f(p) be the second derivative of p**7/63 - 298*p**6/45 + 148*p**5/15 + 149*p**4/9 - 33*p**3 + 2*p - 9258. Let f(a) = 0. Calculate a. -1, 0, 1, 297 Let l = -1091815/2 - -14193599/26. What is z in -2/13*z**4 + 8/13*z**3 + 0 + l*z**2 - 8/13*z = 0? -1, 0, 1, 4 Solve 5/4*o**2 + 0 - 5/2*o = 0. 0, 2 Suppose -2*f - 3 = -2*s - 25, 27 = 5*f + 2*s. Suppose -f*n + 24 = -n. What is i in 11*i**3 - 10*i - 3*i**n - 5*i**2 + 8*i**4 - i**3 = 0? -2, -1, 0, 1 Let m(u) be the third derivative of -u**7/630 - 61*u**6/180 - 121*u**5/180 + 31*u**2 - 68*u. Solve m(f) = 0 for f. -121, -1, 0 Factor 2/13*x**2 + 400/13*x + 398/13. 2*(x + 1)*(x + 199)/13 Let x(u) be the first derivative of -u**4/132 - u**3/33 + 15*u**2/22 - 124*u
{ "pile_set_name": "DM Mathematics" }
s smaller: 0 or b? 0 Let f be 28/6*((-294)/(-4))/(-1). Is f at least as big as -342? False Let d be 303/2 + 222/(-148). Is d greater than 149? True Let t = -16 - -10. Let m be (-6)/((-12)/(-10)) + 3. Let c be 1/m + (-48)/(-24). Which is greater: c or t? c Let q be 22/6 - 2/(-6). Suppose 5*p + 0*j + 5 = 5*j, q*p + 40 = -5*j. Let t be 2/(-6)*(-126)/(-10). Is p < t? True Suppose 0 = -u - 4*v - 43, 0 = 3*v - 3. Is u < -44? True Let f be -138*1/(-8) - 0. Let b = 159/8 - f. Which is bigger: 2 or b? b Let u = -494 - -516. Is 0.15 greater than u? False Suppose 0*n + 3*n = 3. Let r(i) = 21*i + 3. Let s be r(1). Suppose -3*a - 23 = h, 0 = 5*a + 5*h + n + s. Which is smaller: a or -15/2? a Let r = 15 + -8. Let c(o) = 7*o + 1. Let v be c(-1). Let j(q) = -q**3 - 5*q**2 + 6*q + 7. Let k be j(v). Is r >= k? True Let m be (6/(-8))/((-459)/(-108)). Let u be -1*(1 + (1 - 1)). Which is smaller: u or m? u Let u(j) be the third derivative of 1/60*j**5 - 4*j**2 + 0 + 0*j + 4/3*j**3 + 7/24*j**4. Let z be u(-6). Which is smaller: 3 or z? z Let t be (-3 - -1)/2 - -9. Let i(c) = c**2 - 8*c. Let j be i(t). Is j bigger than 0? False Let d = 72 + -72.1. Let l = -0.026 - -22.026. Let w = l - 22.09. Is w less than or equal to d? False Let h = -687/85 + 36/5. Which is bigger: 0 or h? 0 Let j(w) = -3*w**3 - 16*w**2 - 7*w - 3. Let o be j(-5). Let h be 1/o*105/(-18). Which is smaller: h or 2/3? h Suppose -8*i + 9 = -5*i. Let j = 5823 - 395983/68. Let g = 42/17 - j. Are i and g nonequal? True Let h = 24 - 25. Let t be 3/(9/1)*h. Suppose -3*g + 2 = -2*d - g, -2*d = 5*g - 5. Are d and t equal? False Let j = 0.221 + -0.121. Let c be (-24)/15*(-2 + 4). Is c != j? True Let d = 54.5 + -54.6. Which is smaller: d or -73? -73 Let o(k) = 0*k + 19 - 3*k + 5*k - k. Let s be o(-15). Suppose 4*a = 2*a - s. Which is greater: a or -4? a Let t(c) = 56*c + 6. Let d be t(-2). Let j = d + 847/8. Suppose 5*s = 6*m - m - 5, -2*s - m = 2. Which is bigger: s or j? j Suppose 0 = -4*q + 5*w, 9 = -q - 0*q - w. Let p = 184.8 + -185. Is q at least as big as p? False Let s = 1/3344 - 13707/1106864. Let t = 450/17543 - s. Are 1 and t non-equal? True Let v = 10 + -21. Let x = v - -11. Let u be 18/(x + -3 - -1). Which is smaller: u or -8? u Let q = -164 + 57. Let j = q - -99. Suppose -3*a - 5*l - 29 = 0, 3*a + 18 = a - 2*l. Is j != a? False Suppose 4*l = 3*f + 93, 0 = l - 0*l - 5*f - 19. Suppose r - 5*r = -l. Suppose 0 = -r*s - 4 + 10. Is 2/11 at most as big as s? True Let y be (43/(-5))/(95/25 - 4). Let z = y - 51. Let x = 0 - 0.1. Is x < z? False Let s be 2/2 - (-7384)/23. Let v = -322 + s. Let j = v + -49/69. Which is smaller: 0.1 or j? j Suppose -15 = -z - 6. Suppose 2*f = 2*n + 18, -n - 5*f - 21 = -0. Let h be (-1)/(-3)*(z + n). Which is smaller: h or 4? h Suppose n + 19 = 18. Which is bigger: 67 or n? 67 Let a = 471/2 - 40979/174. Are -1 and a nonequal? True Suppose 59*j - 276 = 55*j. Is 69 less than or equal to j? True Let q be (-2 + 7/3)*36/(-16). Is 48 at least q? True Suppose 3*h = 5*s + 8*h + 435, 5*s + 431 = -3*h. Is s less than or equal to -87? False Let t = -3376/5 + 719. Which is bigger: t or 43? t Let y(l) = 63*l**2 - 18*l + 79. Let z be y(3). Which is smaller: z or 1/4? 1/4 Let k = 160/11 + -162/11. Suppose 5*g - 6 = 2*g. Let m = g + -2. Is m bigger than k? True Let v be (1 + 908/(-906))/(2/12). Which is smaller: v or -2? -2 Suppose 0 = -6*k + 5*k + 10. Is k at most as big as 11? True Let z = 695 - 695. Which is smaller: -22/41 or z? -22/41 Let f(p) = 3*p**2 + 9*p - 21. Let o be f(6). Suppose -o = -4*a - 53. Is a less than or equal to 21? False Let l be 4/10 + (-442)/5. Let a be 1 + 0 - (45 + -46). Let b be a/(l/148) - -3. Which is bigger: b or 0? 0 Let a = 5174/301 + -120/7. Let d = -7 + 13. Suppose 0 = -4*s - d + 2. Is s bigger than a? False Let k be -3 + (-796)/20 + 3. Are -39 and k nonequal? True Let x be (87/6 + -1)/((-3)/(-4)). Let y be 18/(-5) + 2/(-5). Let d be (-2 + y)/(x/4). Which is smaller: d or -2? -2 Let h(r) = -r**2 - 10*r + 23. Let l be h(-12). Which is smaller: l or 6/53? l Let o(g) = g**2 - g - 1. Suppose -2*n = -n - 3*c + 14, 2*n - 5*c + 28 = 0. Let r = n - -13. Let h be o(r). Is 1 >= h? True Suppose 3*i = 6 + 6. Suppose i*v + 2*v = 48. Suppose v + 18 = -2*a. Which is smaller: a or -14? -14 Suppose 3*l = l + 26. Suppose 2*f = z + l, 2*z + 3*f - 3 = -15. Which is smaller: z or -10? -10 Suppose -5*i - 19 = 4*y, -i - 6 = 3*y - 0. Is -18/13 < y? True Let b(o) = o - 10. Let d be b(10). Which is smaller: 1/109 or d? d Let r = -3086 - -3089.4. Is r bigger than 41? False Let o be (-2 + 1)/(6/12). Let g be 5/(-70)*-16 + o. Do g and -1 have the same value? False Suppose -8*p = 3010 + 1270. Which is greater: -534 or p? -534 Let l = -0.38 + -45.62. Suppose -15843*v = -15853*v + 10. Is l greater than v? False Let n = -444030 - -3102088/7. Let p = n + 872. Is -4 <= p? True Suppose -15 = -8*p + 3*p + t, 4*t = 0. Suppose p*g + 1 = -5. Let x = -1 - 1. Is x not equal to g? False Suppose -2*t + 2*q + 30 = -14, -4*t = -q - 79. Suppose 0 = -o - 0 + 5, r - 5*o = -t. Which is smaller: r or 11? r Let s = 27.8 - 30. Which is bigger: s or -3? s Let g = 0 + 7. Let d(z) = -6 - z**2 + 0 + 9*z - 1. Let i be d(g). Are 0 and i non-equal? True Let g(m) = -10 + 6*m - 14 + 5 + 2*m. Let w be g(0). Suppose -81 = 3*t - 21. Is t < w? True Let h = 16 - 9. Let n(a) be the second derivative of -5*a**3/6 + 8*a**2 - 2*a - 45. Let d be n(h). Which is greater: d or -18? -18 Let t = 3942 + -4103.7. Let c = t + 161. Which is smaller: c or 1? c Let d = -5239 + 508147/97. Which is smaller: d or 1/4? d Let d be (-8)/(8/(-4) - 0). Let v be 2/(-11) - (-204)/33. Is d greater than v? False Let o = 45 - 24. Suppose 2*z = 2*k + 2, k = 5*z + 4*k - o. Suppose -3*q + 8*m - 4*m = 20, -4*q - 15 = -z*m. Is 3 smaller than q? False Suppose -26*k + 16 = -22*k. Suppose 0 = -4*j + 5*w + 6, k*j + 2*w = -14 + 6. Is j >= 1/29? False Suppose 2 = 2*p - 0. Let d be (-32)/(-10) - (20/4 - 4). Do d and p have different values? True Let d(r) = 11*r**2 + 6. Let n be d(3). Let c be -8*3*(-5)/n. Is -0.2 less than c? True Let t be ((-2)/(-8724))/((-23)/(-4) - 6). Which is smaller: t or 0? t Let t = 1018 + -1019. Which is greater: 323 or t? 323 Suppose 0 = 4*c - 3*c - 2. Let d be -16 - (0 + (0 - 1)). Let l be (9/(-6))/(d/20). Are c and l equal? True Suppose a - 5*v + 47 = 0, 127 = 4*a - 7*a + v. Which is smaller: a or -4? a Suppose 5*s + 20 = 18*l - 23*l, 4*l + 2*s + 16 = 0. Which is greater: 0.101 or l? 0.101 Suppose -4*n - 5*s - 40 = 0, 0 = -7*n + 4*n - 3*s - 30. Do n and -21/2 have different values? True Let l(k) = -k - 3. Let i be l(-3). Let o = -1/795 + 1613/18285. Does i = o? False Suppose 3*w + 4*f - 17 = 0, 2*w + w - 24 = 3*f. Suppose 0 = 4*t + 9 - 29. Is t less than w? True Let w(a) = 4*a + 21. Let c be w(-6). Let i be ((-4)/(-8))/((-1)/4). Which is smaller: c or i? c Let g be 26466/(-26454) + 6 - 5. Is g at least as big as -1? True Let p = 21.46053 + 0.02947. Let k = p + 0.51. Does k = 1/3? False Let q be 5 + -7 + (-3 - -90). Suppose 6*l = l - q. Let r = l + 16. Which is smaller: -8/11 or r? r Let q = -2/103 - 9571/412. Is -23 greater than q? True Suppose 5*f - 2 = 3. Let h = -566 + 554. Which is greater: f or h? f Suppose -4*g + 2*g = 0. Let f = 11897/418 + -2171/77. Let a = f - 3/14. Is g at least a? False Let g be (3 - (-8 - 3))*2. Let i be 2 + -1 + (-16)/2. Let j be (-2)/(-8) + i/g. Which is greater: 7 or j? 7 Let w be (-7 - -4 - -1)/(-1 - 1). Suppose 2*k - 17 = -4*p + w, -5*p + 19 = -k. Which is smaller: -1/94 or k? -1/94 Let x(s) = -8*s - 35. Let d be x(-16). Let b = d - 94. Is -2/15 at least b? True Let k = -7.15 - -7. Let r = 10.9 - 18.8. Let j = -8 - r. Which is greater: j or k? j Let v be (-813)/56 + (-11)/(-44). Let l = v - -99/7. Is l greater than or equal to 1? False Suppose -6*b + 2 - 8 = 0. Let p = -5/91 - 121/91. Is p greater than b? False Suppose 3*d - 29 + 7 = -p, 5*d - 82 = -3*p. Which is greater: 2 or p? p Let l = -1/1780 + 25813/5340. Let b = -5 + l. Let m = -2.43 - -1.43. Is b bigger than m? True Let q = -50 - -124. Let j = -69 + q. Is 5 less than j? False Let j(n) = -18*n - 742. Let i be j(-20). Is -384 at most i? True Let q be -1*((-160)/(-156) - 1). Which is greater: q or 1? 1 Suppose 3*d = -3 + 18. Suppose -2 + 17 =
{ "pile_set_name": "DM Mathematics" }
2. Calculate q(-1). -18 Let w(i) = -31*i - 58. Determine w(-2). 4 Let o(l) = -l**3 + 2*l**2 + 13*l + 4. Calculate o(-3). 10 Let q(g) = g**3 + 14*g**2 - 32*g - 2. Give q(-16). -2 Let a(m) = -m**3 - 16*m**2 - 14*m - 3. Calculate a(-15). -18 Let z(n) = 2*n**2 + 10. Give z(4). 42 Let n(i) = i**3 - 12*i**2 - 16*i - 7. Calculate n(13). -46 Let o(l) = l**2 + 36*l - 113. Determine o(3). 4 Let i(h) = -h**2 - 2*h + 29. Determine i(-5). 14 Let f(p) = -p**3 - 25*p**2 + 27*p + 18. Give f(-26). -8 Let d(k) = 4*k**3 - 25*k**2 + 7*k - 13. Give d(6). -7 Let t(a) = 5*a - 58. What is t(9)? -13 Let c(l) = l**2 + l + 8. Calculate c(0). 8 Let q(i) = -5*i + 117. What is q(23)? 2 Let s(w) = w**2 + 14*w + 20. What is s(-12)? -4 Let d(u) = -5*u + 24. What is d(13)? -41 Let f(p) = 6*p + 42. What is f(-7)? 0 Let v(h) = -7*h + 18. Determine v(11). -59 Let f(v) = -v**2 + 6*v - 2. Determine f(4). 6 Let w(h) = -h**3 + h**2 - h - 1. Determine w(3). -22 Let t(q) = -q**3 - q**2 + 6*q + 7. What is t(-2)? -1 Let u(g) = g**3 - g**2 - 12*g + 11. Calculate u(4). 11 Let i(o) = o**3 - 9*o**2 - 11*o + 7. Calculate i(10). -3 Let f(s) = -2*s + 14. Give f(-4). 22 Let h(r) = -5*r**2 - r - 2. Calculate h(-2). -20 Let l(k) = -k**3 + 7*k**2 - k - 13. Give l(5). 32 Let l(w) = w**3 + 10*w**2 - 14*w - 143. Calculate l(-10). -3 Let z(k) = -160*k + 636. Determine z(4). -4 Let x(t) = -2*t**2 + 14*t - 5. What is x(7)? -5 Let f(k) = -9*k - 4. Calculate f(6). -58 Let z(i) = -7*i - 26. Calculate z(-4). 2 Let l(g) = 9*g - 85. What is l(6)? -31 Let w(h) = -h**3 - 23*h**2 + 108*h + 4. Give w(-27). 4 Let c(r) = r**2 + 29*r + 64. What is c(-27)? 10 Let z(x) = x**3 - 5*x**2 + 17*x - 71. What is z(5)? 14 Let v(k) = k**2 - 21*k + 2. Determine v(21). 2 Let t(n) = -n**3 + n**2 + 3*n + 2. What is t(3)? -7 Let u(t) = 4*t**3 - 66*t**2 + 33*t - 22. Calculate u(16). -6 Let k(q) = -q**3 - q**2 + 41*q + 61. Give k(-6). -5 Let s(c) = -88*c + 446. Calculate s(5). 6 Let t(k) = k**2 - 4*k - 5. Give t(-2). 7 Let w(c) = -3*c - 12. Calculate w(7). -33 Let q(y) = 2*y + 20. What is q(-9)? 2 Let a(w) = 3*w - 40. Calculate a(9). -13 Let b(w) = 3*w**2 - w + 4. Give b(0). 4 Let x(k) = -k**3 + 16*k**2 - 18*k + 40. Determine x(15). -5 Let m(a) = a**2 - 13*a + 16. Calculate m(12). 4 Let g(x) = -x**3 + 4*x**2 - x + 1. Calculate g(3). 7 Let h(n) = n**3 + 13*n**2 - 14*n + 11. What is h(-14)? 11 Let x(p) = p**2 - 19*p + 1. Calculate x(19). 1 Let g(f) = 2*f + 31. Determine g(5). 41 Let s(r) = 2*r**3 + r**2 - 5*r - 5. Give s(-2). -7 Let l(r) = r**3 - 6*r**2 - 8*r + 9. What is l(6)? -39 Let x(w) = -w**3 - 6*w**2 - 2*w - 7. Give x(-6). 5 Let k(m) = -4*m**2 + 25*m - 23. Determine k(5). 2 Let h(s) = s - 10. What is h(10)? 0 Let v(h) = h**3 - h**2 - 5*h + 1. Determine v(3). 4 Let w(d) = -10*d - 22. Calculate w(-2). -2 Let n(i) = -i**2 - 14*i - 38. Determine n(-5). 7 Let r(w) = 4*w**2 - 3*w - 2. What is r(-1)? 5 Let k(y) = y**2 - 24*y + 100. What is k(19)? 5 Let w(h) = -h**3 + 19*h**2 + 22*h + 27. What is w(20)? 67 Let t(o) = o**2 + 9*o - 10. What is t(-7)? -24 Let x(c) = -c**3 - 13*c**2 + 7. What is x(-13)? 7 Let f(t) = -17*t - 35. Determine f(-2). -1 Let b(p) = -p**3 - 8*p**2 + 8*p + 9. Give b(-9). 18 Let w(c) = -c**2 - 16*c - 22. Calculate w(-17). -39 Let s(f) = 131*f + 381. Determine s(-3). -12 Let n(o) = 2*o - 1. Determine n(6). 11 Let o(t) = -t**3 + 19*t**2 - 21*t + 36. Determine o(18). -18 Let t(o) = 11*o + 106. Determine t(-10). -4 Let b(d) = 2*d**2 + 2*d + 5. Determine b(0). 5 Let x(w) = 2*w**3 - 24*w**2 - 28*w + 32. Determine x(13). 6 Let v(h) = -h**2 + 17*h - 10. Calculate v(7). 60 Let i(z) = -z**2 + 1. What is i(2)? -3 Let g(z) = 9*z + 1. Determine g(8). 73 Let m(g) = -g**3 + 15*g**2 + 31*g + 8. Give m(17). -43 Let y(r) = 2*r**2 + 24*r - 31. What is y(-11)? -53 Let s(y) = 14*y + 221. Calculate s(-15). 11 Let p(g) = -g**3 - 24*g**2 - 65*g - 28. Determine p(-21). 14 Let u(v) = v**2 - 5*v - 21. What is u(10)? 29 Let r(p) = -2*p**2 - 4*p + 1. Give r(-2). 1 Let h(a) = -a**2 + 8*a + 110. Calculate h(-7). 5 Let v(j) = -j**3 - 4*j**2 + 4*j + 3. Determine v(-4). -13 Let g(b) = -b**3 - 10*b**2 - 13. Calculate g(-10). -13 Let a(x) = 5*x. What is a(-8)? -40 Let a(o) = -4*o + 6. Calculate a(-9). 42 Let o(p) = -3*p + 45. Determine o(-5). 60 Let y(p) = -2*p**2 - 10*p - 13. Calculate y(-4). -5 Let y(u) = -2*u - 39. Determine y(-22). 5 Let r(f) = -f**2 - 10*f + 45. What is r(6)? -51 Let b(a) = -a**3 - 18*a**2 + 12*a - 62. Give b(-19). 71 Let t(v) = -v**3 + 4*v**2 + 8*v - 6. Determine t(6). -30 Let b(i) = -i**2 + 11*i - 15. Calculate b(7). 13 Let r(q) = -q**2 - 14*q - 12. Give r(-12). 12 Let p(d) = d**2 + 14*d + 10. Calculate p(-13). -3 Let n(o) = o**2 - 4*o - 1. Give n(6). 11 Let o(y) = -4*y**2 - y - 3. Calculate o(3). -42 Let y(n) = n**3 + 2*n**2 + 4*n + 1. What is y(-2)? -7 Let x(s) = -s**3 - 8*s**2 - 23. Determine x(-8). -23 Let o(a) = a**3 - 4*a**2 - 5*a - 1. What is o(5)? -1 Let s(h) = -9*h + 7. Give s(0). 7 Let m(t) = t**3 - 16*t**2 - 18*t - 33. What is m(17)? -50 Let k(y) = 2*y**2 + 3. Determine k(0). 3 Let o(t) = -3*t**3 - 49*t**2 - 15*t + 13. Calculate o(-16). -3 Let j(i) = -i**2 + 8*i + 1. Calculate j(6). 13 Let x(j) = -2*j - 8. Determine x(2). -12 Let s(p) = p**3 + p**2 - 2*p + 1. Determine s(-3). -11 Let r(s) = s - 6. Calculate r(-8). -14 Let p(v) = v**3 - 10*v**2 + 11*v - 27. Determine p(9). -9 Let y(v) = -v**2 - 61*v - 337. Give y(-6). -7 Let z(o) = -o**3 - 16*o**2 + 15*o - 38. Determine z(-17). -4 Let b(y) = -2*y**2 + 21*y - 10. What is b(10)? 0 Let d(h) = h**3 + 16*h**2 + 3*h + 30. Determine d(-16). -18 Let v(z) = z**3 - 3*z**2 + 2*z - 4. Calculate v(4). 20 Let d(v) = v - 7. Determine d(7). 0 Let o(k) = k**2 - 32*k + 189. What is o(25)? 14 Let o(a) = 7*a + 6. Calculate o(-5). -29 Let p(a) = a**3 + 17*a**2 + 16*a + 27. Give p(-16). 27 Let c(t) = -t**3 - 22*t**2 - t. What is c(-22)? 22 Let b(p) = 17*p**2 + 4*p - 6. Calculate b(2). 70 Let i(m) = m**3 - 4*m**2 - 2*m - 7. What is i(5)? 8 Let u(n) = 16*n - 10. Calculate u(2). 22 Let p(k) = k - 17. Determine p(9). -8 Let w(z) = -z**2 + 5*z - 5. What is w(0)? -5 Let v(u) = -10*u - 116. Give v(-11). -6 Let h(y) = y. What is h(-7)? -7 Let l(m) = -20*m - 88. Determine l(-5). 12 Let v(m) = 6*m + 1. Calculate v(1). 7 Let d(u) = -5*u**2 + 14*u - 18. Calculate d(2). -10 Let q(m) = -m**3 - 7*m**2 - 11*m - 18. Give q(-8). 134 Let d(m) = m**3 + 7*m**2 + 10*m - 3. Determine d(-4). 5 Let q(u) = u**2 - 31. Determine q(6). 5 Let v(m) = 16*m**2 + 2*m + 1. Give v(-2). 61 Let a(w) = -53*w**3 + w**2 + 3*w - 3. Calculate a(1). -52 Let a(k) = 37*k**2 + 1. Calculate a(-1). 38 Let k(s) = -s**2 - 3*s - 6. Calculate k(-3). -6 Let g(s) = 2*s**2 - 35*s + 9. Give g(17). -8 Let p(u) = -10*u - 47. Calculate p(-4). -7 Let w(s) = 22*s + 23. Calculate w(-5). -87 Let m(c) = 36*c - 3. Determine m(2). 69 Let j(f) = f**3 + 22*f**2 + 39*f - 23. Give j(-20). -3 Let b(h) = h**3 - 28*h**2 + 2*h - 31. Determine b(28). 25 Let w(k) = -k**2 + 8*k - 25. Give w(6). -13 Let z(c) = 2*c - 21. Calculate z(17). 13 Let n(k) = 28*k + 29. Give n(-1). 1 Let c(i) = -i - 12. Determine c(0). -12 Let p(c) = 3*c - 41. Determine p(12). -5 Let y(h) = h**3 - 4*h**2 - 4*h + 8. Give y(6). 56 Let r(g) = g**3 - 4*g**2 + 2*g + 1. Calculate r(4). 9 Let f(z) = -6*z - 49. Give f(-9). 5 Let j(h) = h + 4. Determine j(6). 10 Let a(q) = 22*q**2 - 17*q - 16. Determine a(-1). 23 Let z(s) = -s**3 - 4*s**2 - 2*s + 3. Calculate z(-4). 11 Let n(t) = -2*t + 37. Determine n(13). 11 Let c(n) = n**3 + 4*n**2 - 2*n + 1. Determine c(-4). 9 Let n(y) = -2*y - 40. Determine n(0). -40 Let c(v) = -v**3 + 10*v**2 - 9*v - 5. Determine c(9). -5 Let r(i) = i**2 - 19*i - 11. Give r(19). -11 Let q(r) = -r - 7. What is q(-12)? 5 Let r(q) = 3*q + 7. What is r(-4)? -5 Let h(a) = 6*a**2 + 2*a + 1. Calculate h(-2). 21 Let j(d) = -d**3 - 20*d**2 + 26*d + 115. Give j(-21). 10 Let w(s) = -3*s**3 - s**2 + s + 2. What is w(-2)? 20 Let c(u) = u**3 + 7*u**2 - 10*u + 7. Give c(-8). 23 Let u(t) = -4*t**3 + t**2 + 25*t - 25. Calculate u(1). -3 Let z(b) = -3*b**3 + 22*b**2 - 6*b - 7. What is z(7)? 0 Let w(a) = 9*a - 172. Determine w(19). -1 Let n(v) = -v**2 + 61*v - 270. Give n(56). 10 Let p(y) = 9*y**2 - 2*y. Give p(1). 7 Let r(n) = -3*n + 34. Give r(9). 7 Let j(v) = v**2 - 2*v - 7. Give j(5). 8 Let
{ "pile_set_name": "DM Mathematics" }
Solve 2*f + 0 + h = 0 for f. -1 Let f(z) = -z**3 + 7*z**2 - 9*z + 7. Suppose u + 5*d - 41 + 11 = 0, 0 = u - d. Let i be f(u). Solve -i + 3 = -3*k for k. 3 Suppose 0 = 13*w - 3 - 23. Solve 0 = w*o + 2*o + 4 for o. -1 Let b = -12 + 19. Let n = 0 - 2. Let u = n + b. Solve -1 = 3*o + u for o. -2 Suppose 0 = -4*s - h - 2, s + 3*h = -s - 6. Suppose s = 4*j + j - 10. Suppose 6*i - 2*i = 8. Solve 0 = i*k - j - 2 for k. 2 Suppose 3*h - 9 = 3*p, p + 2*p = -4*h + 26. Let w be (8/6)/(3/9). Suppose z = 3 + 11. Solve z - p = -w*s for s. -3 Suppose n - 5 = 2*s, -5 = -5*n + 3*s + 27. Suppose 28 = r - 2*u, 5*r + 4*u = -n + 91. Solve 0*f - r = -5*f for f. 4 Let p = -8 + 5. Let n = 5 + p. Suppose -20 = 4*b - 0*b - 5*r, -2*b + n*r - 8 = 0. Solve -y + 4 = -b for y. 4 Let n be (-18)/(-5) + (-12)/(-30). Suppose 0 = -4*g - n, -5*g - 6 - 2 = -q. Solve -2*y - q + 9 = 0 for y. 3 Let g(f) = -f + 2. Let w(u) = -u + 1. Let y(r) = 5*g(r) - 4*w(r). Let z be y(4). Solve z*c = -3*c for c. 0 Suppose 34 = 5*x + 4. Suppose x = -v + 10. Solve 0 = 3*a - v - 8 for a. 4 Let x(a) = -12*a + 8. Let i(r) = r - 1. Let u(d) = -8*i(d) - x(d). Let b be u(5). Suppose 3*k + b = 8*k. Solve -9 = k*h + 3 for h. -3 Suppose 2*u = 40 - 12. Suppose 2*m + 2*z = -z + u, 10 = 2*m + 2*z. Let k = 1 - m. Solve k = -0*c + c for c. 0 Suppose -5*x = 5*g - 15, -4*g + 14 = 4*x - 2*g. Solve -t - x = -2*t for t. 4 Suppose 0 = -2*k + 5*s + 10, 0*k + 2*s = -k + 5. Suppose -k*w = -14 - 6. Let m(h) = 2*h**2 - 3*h + 2. Let y be m(2). Solve w*n + y = 20 for n. 4 Let n be 0 - 1 - ((-4)/(-2) - 6). Solve -n = 4*q - q for q. -1 Suppose 0 = -3*d - 1 + 10. Solve 0 = 2*l + 3 + d for l. -3 Suppose -5*o + o + 8 = 0. Let m be 5/o*12/(-10). Let g = -2 - m. Solve -g = -t + 1 for t. 2 Let j(c) = -2*c - 9. Let v be j(-6). Suppose 0 = 3*i - 0 - v. Solve -5 = 3*f + i for f. -2 Let q(c) = c**2 - 5*c + 6. Let b be q(4). Let p(z) = -2*z**2 + z - 1. Let m be p(b). Let i(j) = j + 12. Let h be i(m). Solve -4*n + h*n + 5 = 0 for n. -5 Let x(q) = -q**3 + 7*q**2 - 5*q - 3. Let h be x(6). Suppose h*t = -t. Solve -3*k + t*k = 0 for k. 0 Suppose -2*l = -2*y + 3*y - 21, -4*l + 3*y = -17. Let m(s) = s**3 + s + 2. Let n be m(4). Let q = n + -42. Solve q - l = 5*p for p. 4 Suppose 9 = y + 2*a - 4, 4*y + a - 45 = 0. Let d = -9 + y. Solve d*x + 3 = 9 for x. 3 Let g(k) be the second derivative of k**4/12 - k**3/3 + k**2/2 + 2*k. Let n be g(2). Solve 0 + n = -v for v. -1 Let x(f) = 2 + 2 - 5 + 0 - f. Let a be x(4). Let h(k) = -2*k - 5. Let q be h(a). Solve -q*z = -4*z for z. 0 Suppose -b + 2 = -0. Suppose -2*h + 0*h = n - 32, b*h = -4. Suppose 3*u + 3*x = x + 26, 0 = -4*u - 3*x + n. Solve 2*z = 2 + u for z. 4 Suppose -f + 2*o - 4 = 0, -4*o + 47 = 3*f + 9. Let y be (4/f + 0)*3. Suppose -y*a + a + 4 = 0, 4*n = -4*a + 40. Solve -4 = -2*m + n for m. 5 Let z = 79 + -72. Solve -3*n - z - 5 = 0 for n. -4 Suppose 2 + 10 = 4*j. Suppose 3 = -j*r + 21. Let f be -1 + 2*3/r. Solve 5*z + f = 15 for z. 3 Let u be ((-5)/2)/(45/(-36)). Solve -4 = -3*n + u for n. 2 Suppose -5*a + 18 = a. Let y = 6 - 3. Suppose -2*c + 1 = -y. Solve -c = -a*q - 11 for q. -3 Let k = 9 + -7. Let p(i) = i**3 - 2*i**2 + 2*i. Let o be p(k). Solve -3*b = -b - o for b. 2 Let p(g) be the first derivative of g**2/2 - 6*g - 4. Let o be p(7). Solve -3*r = o + 8 for r. -3 Suppose 3*r = -4*q, -q + r = -3*q + 2. Let k be 0/(q*4/6). Solve k = 3*n - 2*n for n. 0 Let g be 10/4*32/40. Solve g + 2 = -q for q. -4 Let o be 17/4 - 3/12. Suppose t + 3*n - 15 = -0, n = o. Let c = 28 - 16. Solve 0*k = -t*k + c for k. 4 Let r = 19 - 15. Solve 11*j - 7*j - r = 0 for j. 1 Suppose -4*g = -4*v, -g = 4*g - 15. Solve -3 - v = 2*y for y. -3 Suppose 0*x = -4*d - 4*x + 4, -1 = -x. Suppose -5*g + 31 = -2*f, 4 - 2 = -2*g - 4*f. Suppose 0 = -3*c + 66 - 3. Solve -g*t + 1 - c = d for t. -4 Let n be 0/(1 - 0 - 3). Solve -2*w + 6 = -n for w. 3 Suppose p - 8 = 5*p, -3*b + 2*p = -31. Let f(r) = -2*r + 18. Let z(l) = l - 9. Let u(x) = 4*f(x) + 7*z(x). Let k be u(b). Solve -j - 1 = -k for j. -1 Let j(p) be the first derivative of -p**5/120 + 5*p**4/12 - 2*p**3/3 + 3. Let m(h) be the third derivative of j(h). Let k be m(8). Solve d + 2 = k*d for d. 2 Suppose 0 = -3*g - 0*g + 27. Let r = -1 + g. Solve 2*l + r = -0*l for l. -4 Let n = 5 - -2. Let k = n + -3. Solve 20 = f + k*f for f. 4 Let y be (-3)/(-12) + (-87)/(-4). Let i = y - 14. Solve -s = 3*s - i for s. 2 Suppose -9*r + 4*r + 100 = 0. Solve -4*w + r = w for w. 4 Suppose 4*h = 5 + 15. Suppose -2*v + 4*q = -q + 8, -4*q + h = -3*v. Let n = v - -1. Solve n*r = -3*r + 10 for r. 2 Let d(i) be the first derivative of -i**4/4 + 2*i**3 + 9*i**2/2 + 10*i + 1. Let n be d(7). Suppose 0 = -2*o - 2*o + n. Solve -k + o = 2 for k. 4 Suppose 2*j - 3 = -2*q - j, -3*q + 4*j = -47. Let d be q/27 + (-28)/(-6). Solve d - 2 = -3*f for f. -1 Let z be (0 + 4)/((-3)/(-6)). Let q be (z/2)/(2/(-9)). Let t be (-58)/(-18) - (-4)/q. Solve -t = -0*x - x for x. 3 Suppose -322*t = -319*t - 12. Solve u = -t*u + 20 for u. 4 Suppose -q - 4*q = -10. Let n = 7 + -5. Let v = n + -2. Solve 2*w - q = -v for w. 1 Let q be 2/3 - (-66)/(-99). Solve 2*w - w + 2 = q for w. -2 Let z be 561/13 + 12/(-78). Solve 5*q - 18 = -z for q. -5 Let k(s) = -30*s - 1. Let y be k(-1). Let t be 42/12 + 1/2. Suppose -t*w + w + 5*o + y = 0, 3 = -3*w - 3*o. Solve w*p - 4 = -p for p. 1 Suppose -4*a = 4*w - 2*w - 12, -a - 8 = -5*w. Solve -3*b = w*b + 15 for b. -3 Let j(f) = 4*f**2 - 2 + f**3 + 4*f**2 - 4*f**2 + 2*f - 2. Let w be j(-3). Let u be (-1)/(-1) - -4 - w. Solve 3*d - u = -0 for d. 2 Suppose 0*b - 5*b + 15 = -r, 2*b + 3*r + 11 = 0. Let u = -2 - b. Let z be u/(-14) + (-120)/(-21). Solve 3*p + 9 = z*p for p. 3 Let u be (6/(-5))/(8/(-20)). Suppose 4*g + 5*t - 7 = 4*t, 4*g - 16 = -4*t. Let x be (-1 + g)/(1 + 0). Solve -y + u - 4 = x for y. -1 Suppose 0 = -3*h + 12 - 0. Solve h = v + 2 for v. 2 Let y = -2 + 1. Let q(v) be the second derivative of 19*v**4/12 - v**3/3 - v**2/2 - 3*v. Let u be q(y). Solve -5*t + u + 0 = 0 for t. 4 Let n(m) = m**2 - 22*m + 27. Let k be n(21). Solve -8 = -k*s + 4*s for s. 4 Let m(h) = -h**3 + 6*h**2 + 5*h + 9. Let d be m(7). Let u = 13 + d. Suppose -5*t + 12 = -u. Solve 0 = t*v + v - 15 for v. 3 Let o be 14/6 - 4/(-6). Let j(z) = -z**2 - 5*z + 4. Let w be j(-5). Solve -o*v - w = -v for v. -2 Let c be (3 - 0)*(-8)/6. Let s be 10/4*(-6 - c). Let v = 5 + s. Solve v = 3*i + i - 4 for i. 1 Let q(v) = -v**3 + 9*v**2 - 7*v - 3. Let h be q(8). Suppose h*k - d - 26 = -2*d, 38 = 3*k - 5*d. Solve 0 = -2*w + k*w + 16 for w. -4 Let a(x) = -x**3 - 3*x**2 + 3. Let d be a(-4). Let f = -7 + d. Let o = 2 + 1. Solve 0 = j + o*j - f for j. 3 Let h = -11 - -28. Suppose 63 = 5*o - h. Let z be 68/7 - o/(-56). Solve -3*c + c - z = 0 for c. -5 Let c = 2 - -3. Let y(s) = s - 4. Let x be y(c). Solve 5 = -2*l + x for l. -2 Suppose 0 = -u + 2*q - 13, 3*q - 7*q = -5*u - 35. Let d = u - -3. Solve d*n = -n + 3 for n. 3 Suppose -5*v + 21 = -s, -2 = v - 4*s - 10. Solve -v = l - 3 for l. -1 Let y(i) = -i**2 + 7*i - 1. Let x be y(5). Let m be 3/x*39/1. Suppose -2*c - p + m = 0, 0*p = 5*c - 3*p - 5. Solve -k = -c*k - 12 for k. -4 Suppose 5*q - 2*y - 17 = 0, -5*q - y = -11 - 3. Solve 20 = q*n + 2*n for n. 4 Let z(h) = h**2 - 5*h + 1. Let k be z(4). Let d be k/(-1)*6/18. Solve d - 11 = 5*w for w. -2 Suppose 0*g + b - 6 = g, -5*g - 30 = b. Let i(t) = -3*t - 6 - 8*t**2 + 9*t**2 + 3*t + 5*t. Let f be i(g). Solve -v = -f*v for v. 0 Suppose -3*c + 46 = 2*k, -32 = -4*k - 12. Solve -3*g = -c - 3 for g. 5 Let x = -3 + 4. Suppose 2*s - 4*s + 2 = 4*t, 0 = -5*t + 3*s + 19. Solve q + x = t*q for q. 1 Let k(b) be the third derivative of b**2 - 1/3*b**3 - 1/12*b**4 + 0*b + 1/60*b**5 + 0. Let s be k(4). Solve -4*r - s = 14 for r. -5 Let k be 4 + -2 + 1 + 0. Suppose 2*l + 5 = g, k*l = -4*g + 47 - 16. Let r = -9 + 17. Solve g = -3*i - r for i. -5 Let j be 18/(-12) - (-3)/2. Suppose j = -5*t - 4*n + 20, -t - n = n - 10. Solve -5*y = -t*y for y. 0 Suppose -2*f = 2*f. Suppose x + f*x - 104 = 4*l, 5*x = l + 26. Let m = 38 + l. Solve -5*o = -o - m for o. 3 Let u be (-6*(-6)/45)/((-4)/(-50)). Solve i = -i - u for i. -5 Suppose 0*s + 24 = 6*s. Solve 3*a - s*a = 1 for a. -1 Let s be 3 + 0/(12/(-2 - 2)). Solve -s*m - 3 = -2*m for m. -3 Suppose 12*l = -0*l + 48. Solve -l*m -
{ "pile_set_name": "DM Mathematics" }
(-80)/140)/(-2)*((-56)/(-2))/4. Solve 2 = 2*f - i*o, 56*o - 5 = -2*f + 57*o for f. 4 Let k = -124 + 129. Suppose -4*t + t + k = -5*d, -2*d = 3*t - 19. Solve -r + 4*b = 2*r + 8, 4*r = t*b - 10 for r. 0 Let f(a) = -76*a - 499. Let z be f(-7). Solve -3*t + 1 = 2*m, 0 = 3*t - z + 24 for m. -4 Let r = -3783 - -3789. Solve 0 = -5*s + 4*s - d + r, -5*s - 3*d + 22 = 0 for s. 2 Suppose 5*a - q = -3, -2*a + 2*q - 539 + 533 = 0. Solve 0 = -p + 3*p - s + 6, -2*p + 4*s - 6 = a for p. -3 Suppose 0 = 62*z - 61*z. Suppose z = 3*h + 3*s - 3, -3*s - 1 = 4*h - 3*h. Solve -3*m + 3 = -4*x - 1, 0 = -h*m + 5*x + 5 for m. 0 Let w(n) = -n**3 - n**2 + 3*n + 2. Let h = -48 - -63. Let g be (-39)/15 + ((-36)/h)/(-4). Let f be w(g). Solve f*a = r + 2*a + 12, -4*a = 3*r + 28 for r. -4 Suppose 6 = 3*o, -120 = -4*n + 4*o - 2*o. Suppose 10*u = -n + 231. Solve -s + 5*l + u = 0, -2*s + 4 = -3*l - 8 for s. 0 Let t = -3491 - -3495. Solve 2*k = t, -v - 7 = 4*k - 11 for v. -4 Let o(k) = k**3 + 413 + 7*k**2 - 408 + 7*k**2 + 40*k. Let w be o(-10). Solve -5*f + 6*v = v + 30, 5*f + w*v = -10 for f. -4 Let k be (94 - 90)*((-4)/(-2) + -1). Suppose -4*z + k - 4 = 0. Solve -s + r - 1 = -z*r, 5*s + 4*r - 40 = 0 for s. 4 Let j be (-5)/(-2) + (-16 - (-310)/20). Solve 0 = j*q + 8, -11*q + 10*q - 9 = x for x. -5 Let h(r) = -r**3 - 12*r**2 - 20*r + 4. Let t be h(-10). Solve -t*s + 12 = 0, 2*d + 3*s = -3*d - 1 for d. -2 Suppose 0 = -9*d - 2*d - 913. Let a = -78 - d. Let j be 1/1 - (-13 - -2). Solve 4*t + m + 14 = 0, -t - 2*m + a = j for t. -3 Let t(l) = -16*l + 62 + l**2 + 2 - 11*l + 4*l. Let b be t(20). Let m(r) = 2*r**2 + 9*r + 1. Let d be m(-7). Solve -4*c = b*s + d, c + 4*s + 8 = 4*c for c. -4 Let y = 248 + -233. Let a = -13 + y. Solve 5*i - a = -3*b + 11, 4*b = -16 for i. 5 Let h be 14/(-112)*-48 - (-40)/2. Solve 5*z - 25 = 0, 2*z - h = -3*q - 2*z for q. 2 Let k(c) = c**3 - c**2 - 13*c - 9. Let h be k(-1). Solve 0 = q + 1, 11 = h*v + 3*q + 12 for v. 1 Let x(o) = o**2 - 41*o + 81. Let s be x(39). Solve -39*h + 41*h - 9 = 3*q, -5*h = s*q - 12 for h. 3 Let f = 3567 - 3564. Solve 2*d = 3*p - 11, 10*p - 1 = 11*p - f*d for p. 5 Let k(i) = -1061*i**3 - i**2 + 9*i + 9. Let d be k(-1). Let x = d - 1060. Solve x*a = 3*h - 5*a + 1, -4*h + 4*a = 4 for h. -2 Suppose 28*n = 195 - 83. Solve 0 = -z - 3*j - 7, -n*z = -z + 5*j + 9 for z. 2 Let m be 147*(-14)/(-686)*63. Solve -192*t - 2*s = -m*t + 2, -3*s = 3 for t. 0 Suppose 33*t = -30*t. Solve t = -3*o + 2*k + 2, -3*k - 3 = 7*o - 9*o for o. 0 Let j be 552/161*(-1)/((-2)/14). Solve -5*a = 4*f - a + j, 0 = -4*f - a - 15 for f. -3 Let x(y) = 2*y**3 - 141*y**2 - 78*y + 497. Let g be x(71). Solve 2*r - 5*m - 8 = g, -8 = 4*r - 8*m + 10*m for r. -1 Suppose 48*s = 4*y + 46*s - 12, s - 6 = -y. Solve -5*a + 6 = 4*i, -2*i = -5*a + 8 + y for a. 2 Let q be (79 - 1)*76/228. Solve -c - 7 = 2*x, -2*c + x + 17 - q = 0 for c. -5 Let o be (-16)/240 - 456/(-90). Solve 2*k - 3*k - 2*n = 6, 0 = 4*k + o*n + 12 for k. 2 Suppose -2*v = 4*g - 2, -2*g = -10*v + 6*v + 4. Solve g*i + 3*i - 5*x = 29, -5*i + 2*x = -23 for i. 3 Let c(j) = -j**2 - 213*j + 4929. Let n be c(21). Solve -q - 6*y - n = -2*y, 4*y + 5 = -3*q for q. 5 Let z(m) = -m**3 + 72*m**2 - 564*m - 187. Let r be z(63). Solve -r*u = 5*a - 27, -34*u = -36*u + 2 for a. 5 Suppose -13*y = -3*y - 60. Let z be 0 - y - -7 - 1. Solve 5*g - m = -13, 0 = -z*g + 4*g + 5*m - 7 for g. -2 Suppose 5*r = -0*r - 5, -4*l = -r - 73. Let z be 4/l*3*243/18. Solve 3*t = b + z, -b + 4*t = 2*b + 12 for b. 0 Suppose -32*d - 24 = -33*d. Suppose -20 = 19*z - d*z. Solve -2*y + 12 = 2*x, -x - 7 = z*y - 19 for y. 2 Let k be ((-30)/(-4))/(12/(-144)). Let t = k + 96. Let q = 13 - 13. Solve m + t = i + 1, q = 4*m - 5*i + 21 for m. -4 Let q(c) = -6*c - 19. Let z = 58 - 62. Let l be q(z). Suppose -4*r + 16 = 4*n, r + 3*r - 19 = -n. Solve r*h = 3*v - 5, 0 = -0*h - 4*h - l*v + 33 for h. 2 Let t(f) = -13*f - 1295. Let u be t(-100). Solve -y - 6 = -u*z - 5, 1 = z - y for z. 0 Suppose 6*g = 10*g - 16. Suppose -2*f = 2*h + h - 96, g*h - f = 117. Let c be (-3)/(-15) + 84/h. Solve c*t + 3*a = 6*t - 18, 0 = -t + 2*a + 10 for t. 2 Suppose -4*o - 17*o = -336. Solve -4*q + o = 4*t, 2*t - 6*q - 7 = -7*q for t. 3 Suppose -2*g + 4 = 3*v, 0*v - 2*v - 5*g = -10. Solve 3*d + p + 1 = v, 4*d + 2*p + 3 = -p for d. 0 Let u = 26839 + -26827. Solve -u = 18*k - 14*k, -4*y + 5*k + 19 = 0 for y. 1 Let s = 34451 + -34442. Solve c + 21*b - 6 = 18*b, -2*c = 3*b - s for c. 3 Suppose -10*p = -13*p + 57. Solve 5*u = 4*g + 8, p - 23 = 2*g for u. 0 Let i be (0/1)/(-3 + 40/20). Solve -2*f - 4*h - 18 = i, 3*f - 15 + 36 = -4*h for f. -3 Suppose -d = 5, -4*l - 2*d = -3*l. Suppose l = 2*s + 4, 5*n = -s + 23. Solve -h - 4 - 3 = 3*b, -n*b - 16 = 3*h for h. -4 Suppose o - 19*m + 15*m - 58 = 0, 8*o - 580 = 3*m. Solve 5*h - 29 = -5*v - o, -5*v - 21 = -h for h. -4 Suppose 20*p = -41*p + 244. Let q = -31 + 37. Solve -3*m + q*m + 2*z - 5 = 0, p*m + z = 0 for m. -1 Let k(r) = -r**2 - 5*r - 2. Let d be (5 - -3) + -4 + -10. Let m be k(d). Let v be ((-4)/(8/(-6)))/((-12)/m). Solve -v*z - 5 = -x, -z - 7*x + 3 = -2*x for z. -2 Let x(l) = 5*l + 6. Let c be x(-2). Let p be (-10 + 6)*10/c. Suppose h - p*h = -108. Solve -g + 4*b + h = -3*g, 0 = 5*g - 5*b - 15 for g. 0 Let r = -42001 - -42004. Suppose 0 = z - 5*b + 12, 20 = 4*z + 5*b - 7. Solve -15 = 4*n - l, 3*l - l = -z*n - r for n. -3 Let z be (4/8)/((-3)/(-180)). Suppose 5*a + 2*k - 41 = 0, -3*a + 3 + z = 4*k. Solve 3*d + 15 = 3*s - 4*s, -d = s + a for s. -3 Suppose 5*v = 5 + 3 + 2. Solve -3*z - 3 = 4*f, v*z + z - 9 = 0 for f. -3 Suppose -14*d = -54 + 68. Let g be (d - 1) + 8/8 + 7. Solve 5*f - 4*c = 7, c - 1 = -2*f - g for f. -1 Suppose -4*r = -3*x + 26, -1 = 5*x - 5*r - 36. Suppose -3*g = 2*k - 0*k - 14, g - 6 = -x*k. Solve -2*a - 14 = -g*u - u, -3*u + 9 = -a for u. 4 Let n(c) = c**3 + 13*c**2 + 12*c + 1. Suppose 55 + 5 = -5*m. Let i be n(m). Solve -2*v = -5*u - i + 7, 0 = 2*u - 2*v for u. 2 Suppose 9*m = 4*m + 25. Suppose 0*t - 2*t = -n - m, -t - n = -7. Let k(g) = -14*g + 21. Let l be k(1). Solve 2*c - l = 2*r - c, -t*r - 4 = -4*c for r. 4 Let m = -321 - -451. Suppose -440 = -31*d - m. Solve -2*y - r + d = r, 0 = r - 5 for y. 0 Suppose -60*a - 1452 = -72*a. Suppose 30*u = a - 31. Solve u*w = -2*w - 5*q - 10, 5*w + 13 = -4*q for w. -5 Let o(c) = -11*c - 276. Let j be o(-27). Suppose 5*b - 9*b + 30 = 5*f, j = -2*f + 5*b. Solve -u = 4*w - 4*u - 14, f*u - 2 = -3*w for w. 2 Let g(s) = -s**2 + 137*s - 4306. Let z be g(88). Solve -3*i - z*a - 6 = -2*a, -i + a - 2 = 0 for i. -2 Let g(p) = p**3 + 9*p**2 + 20*p + 6. Let u be g(-6). Let b(q) = -16*q - 94. Let v be b(u). Solve -2 = 5*a + 2*t + v, 4*t = -8 for a. 0 Let n = -16888 + 16900. Solve -17*x + n*x = p + 22, -2*p = 4*x + 20 for x. -4 Let y be 0/(0 + -2 - 0). Let v(b) = b**2 - 61*b + 847. Let h be v(20). Solve y = 3*p - 3*d + 21, -4*p - p = -3*d + h for p. -3 Suppose -242*f = -249*f + 35. Suppose -f*w + 10*w = -2*v + 2, -v = -w - 1. Solve w*o = 4*o - 5*k + 13, 3*o - 19 = -2*k for o. 3 Let p = -226 - -228. Suppose 4*a - 2 = -p*r, 32*r + 7 = 4*a + 33*r. Solve 4*k = 8, -1 = 2*m - a*k + 13 for m. -4 Let l(f) be the third derivative of f**4/24 + 3*f**3/2 - 16*f**2. Let s be l(16). Suppose -4*m = -9*m + s. Solve -m*p - 11 = -2*d, -2*d - 3*p + 9 = 22 for d. -2 Suppose -225 = -131*l + 37. Solve 0 = -l*t - 4, 5*j - 11*t + 16*t + 15 = 0 for j. -1 Suppose 0 = 8*q + 9*q - 332 + 213. Solve 12*o - q*o - 21 = -4*t, -5*o - 3 = -2*t for t. 4 Suppose -g + p + 4 = 0, g + 0*g - 4 = 4*p. Suppose 14 = g*o + 2*b, 1 = 5*o + 5*b - 24. Solve 5*t = -15, j - 3 = t - o for j. -2 Suppose -5*m - 16*f + 63 = 0, -4*f + 6 = -65*m + 63*m. Solve -5*v + 22 = m*s, -3*v + 5*s = 2*s - 18 for v. 5 Let b(k) = 33*k + 8. Let j be b(-2). Suppose 10 + 60 = 5*r. Let q be j/(-12) + (-1 - r/(-12)). Solve -c = -2*x + 9, 3*c + q - 3 = x for c. 1 Let o = 18 - -33. Let y = 53 - o. Let l be (42/4)/7*y. Solve r - 2*r = 5*t + l, 4*r = -3*t - 12 for t. 0 Let f(n) = 13*n**3 - 2*n**2 + 3*n. Let i be f(1). Suppose 36*z = i*z + 66. Solve v = 3*s, -s = z*s - 2*v for s. 0 Let w = -13 + 15. Suppose 0 = 4*d - 16, -5*t - 5*d = -w*t - 2. Let s be (-1)/2*9*20/t. Solve -4*h + 25 = -0*q + q, s = 3*h for q. 5 Let l(q) = 160*q**2 + q + 2. Let o be l(-1). Let p = 170 - o. Solve 3*r +
{ "pile_set_name": "DM Mathematics" }
: 6, k: 1, u: 4}. 0 What is prob of picking 2 i and 1 r when three letters picked without replacement from {r: 4, i: 14}? 91/204 Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, b: 5}. 1/21 What is prob of picking 1 t and 1 c when two letters picked without replacement from pttltdc? 1/7 Three letters picked without replacement from {o: 1, h: 4, z: 6, n: 2}. Give prob of picking 1 z, 1 n, and 1 h. 24/143 Three letters picked without replacement from {a: 4, w: 15}. Give prob of picking 1 w and 2 a. 30/323 Three letters picked without replacement from {u: 5, f: 7}. Give prob of picking 2 f and 1 u. 21/44 Calculate prob of picking 1 b, 1 q, and 1 a when three letters picked without replacement from {b: 1, q: 1, a: 1, l: 1, u: 2, x: 1}. 1/35 Two letters picked without replacement from {f: 10, e: 10}. Give prob of picking 2 f. 9/38 Calculate prob of picking 2 s when two letters picked without replacement from lssll. 1/10 What is prob of picking 2 m when two letters picked without replacement from {m: 7}? 1 Two letters picked without replacement from mdkkdmddd. What is prob of picking 1 d and 1 m? 5/18 Calculate prob of picking 2 y and 2 h when four letters picked without replacement from {y: 2, h: 5}. 2/7 What is prob of picking 1 f and 1 b when two letters picked without replacement from {l: 3, i: 1, b: 1, f: 6, j: 4}? 2/35 What is prob of picking 2 x and 2 o when four letters picked without replacement from xxouo? 1/5 Four letters picked without replacement from bbybyybyyybrybbmbb. Give prob of picking 3 r and 1 b. 0 Two letters picked without replacement from dthkhthddhhhf. Give prob of picking 2 h. 5/26 What is prob of picking 3 r and 1 n when four letters picked without replacement from urnrnyryury? 4/165 Calculate prob of picking 2 l, 1 z, and 1 q when four letters picked without replacement from zqxxzyqlxxly. 4/495 Four letters picked without replacement from irjccjjccjcjcccjrc. What is prob of picking 1 c and 3 j? 1/17 Four letters picked without replacement from {d: 3, i: 1, s: 1}. Give prob of picking 1 s, 2 d, and 1 i. 3/5 Four letters picked without replacement from clcoollooo. Give prob of picking 1 c, 2 l, and 1 o. 1/7 Calculate prob of picking 3 j and 1 z when four letters picked without replacement from {c: 9, j: 4, z: 6}. 2/323 Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {f: 1, r: 1, a: 4, e: 3, g: 4}. 2/13 What is prob of picking 1 h, 1 k, and 1 a when three letters picked without replacement from akhtt? 1/10 Two letters picked without replacement from ahaaaaah. What is prob of picking 2 a? 15/28 Calculate prob of picking 1 o, 1 d, and 1 x when three letters picked without replacement from {e: 2, y: 2, k: 2, o: 1, d: 1, x: 10}. 5/408 What is prob of picking 1 g and 1 f when two letters picked without replacement from {g: 1, v: 2, y: 4, f: 1}? 1/28 Four letters picked without replacement from {n: 2, y: 1, z: 2, e: 1, d: 1}. Give prob of picking 1 e, 2 n, and 1 y. 1/35 Calculate prob of picking 1 u and 1 r when two letters picked without replacement from rum. 1/3 Four letters picked without replacement from txmut. What is prob of picking 2 t, 1 x, and 1 u? 1/5 What is prob of picking 2 h and 2 r when four letters picked without replacement from hereaahhrehprtare? 9/595 Three letters picked without replacement from mmqqm. Give prob of picking 1 q and 2 m. 3/5 Four letters picked without replacement from {b: 3, z: 2, l: 3}. What is prob of picking 1 z and 3 l? 1/35 Four letters picked without replacement from evveeevevvveve. What is prob of picking 1 e and 3 v? 35/143 Four letters picked without replacement from uhjhhhuuhuh. Give prob of picking 1 u and 3 h. 8/33 What is prob of picking 1 y and 1 l when two letters picked without replacement from yllolyllylyylyl? 16/35 Two letters picked without replacement from hhhpghtm. Give prob of picking 1 m and 1 p. 1/28 Two letters picked without replacement from lumoxuzx. Give prob of picking 1 m and 1 l. 1/28 Calculate prob of picking 1 b and 2 x when three letters picked without replacement from xhhhhsxhbihxh. 3/286 What is prob of picking 2 w when two letters picked without replacement from {w: 10, s: 2}? 15/22 Calculate prob of picking 4 p when four letters picked without replacement from {p: 6}. 1 Three letters picked without replacement from zlzwhpxhx. Give prob of picking 1 w and 2 z. 1/84 Two letters picked without replacement from {q: 4, b: 1, z: 5}. Give prob of picking 2 z. 2/9 Two letters picked without replacement from optptoot. What is prob of picking 1 o and 1 t? 9/28 Three letters picked without replacement from {j: 1, t: 1, b: 1, i: 2, p: 1, y: 1}. Give prob of picking 1 t, 1 j, and 1 p. 1/35 What is prob of picking 2 x and 1 j when three letters picked without replacement from {x: 5, b: 1, j: 1, k: 3, q: 1}? 2/33 Three letters picked without replacement from {y: 16, l: 2}. Give prob of picking 3 y. 35/51 What is prob of picking 1 v and 3 u when four letters picked without replacement from {v: 1, u: 6, m: 7, r: 2, x: 1}? 1/119 Calculate prob of picking 3 p when three letters picked without replacement from ppppplpp. 5/8 What is prob of picking 1 z and 1 u when two letters picked without replacement from {z: 1, u: 2}? 2/3 Calculate prob of picking 1 i and 1 f when two letters picked without replacement from fifiiifkliii. 7/22 Four letters picked without replacement from pytppltpypllllppp. Give prob of picking 1 y and 3 p. 4/85 Calculate prob of picking 3 n when three letters picked without replacement from nsnnllkhool. 1/165 Two letters picked without replacement from {x: 1, o: 1, y: 2, n: 1}. Give prob of picking 1 o and 1 n. 1/10 Two letters picked without replacement from {g: 13, b: 6}. What is prob of picking 2 g? 26/57 Four letters picked without replacement from {j: 4, p: 3, o: 1, v: 3}. Give prob of picking 4 j. 1/330 Three letters picked without replacement from {l: 1, w: 1, n: 1, c: 1, t: 1}. What is prob of picking 1 l, 1 w, and 1 t? 1/10 Three letters picked without replacement from {r: 2, w: 4, v: 1}. Give prob of picking 2 r and 1 v. 1/35 Two letters picked without replacement from {t: 4, o: 1, u: 1, l: 3, i: 2, e: 1}. What is prob of picking 1 o and 1 l? 1/22 What is prob of picking 1 j and 1 x when two letters picked without replacement from {x: 18, j: 1}? 2/19 Three letters picked without replacement from {g: 1, l: 1, r: 7, z: 2, x: 3}. Give prob of picking 1 g, 1 r, and 1 l. 1/52 Calculate prob of picking 1 e, 1 i, and 2 n when four letters picked without replacement from {e: 2, c: 7, u: 2, i: 7, n: 2}. 14/4845 Calculate prob of picking 2 u, 1 d, and 1 o when four letters picked without replacement from uoujdouu. 6/35 What is prob of picking 1 z, 2 u, and 1 q when four letters picked without replacement from {u: 2, q: 1, n: 9, z: 6}? 1/510 What is prob of picking 2 d when two letters picked without replacement from hzdwwhwwzdwwh? 1/78 Two letters picked without replacement from {w: 1, q: 7}. What is prob of picking 2 q? 3/4 What is prob of picking 1 p and 2 o when three letters picked without replacement from {p: 3, o: 2, y: 1, u: 1}? 3/35 Three letters picked without replacement from {n: 5, w: 6, z: 1, x: 5}. Give prob of picking 2 x and 1 n. 5/68 What is prob of picking 1 d and 1 w when two letters picked without replacement from ddwdddwdddwddw? 40/91 Calculate prob of picking 4 o when four letters picked without replacement from ooojooojojoo. 14/55 What is prob of picking 1 z, 1 l, and 1 i when three letters picked without replacement from {i: 1, y: 1, z: 1, l: 1, x: 1}? 1/10 Three letters picked without replacement from rhnetxn. Give prob of picking 2 n and 1 x. 1/35 Two letters picked without replacement from raardrrryzdyradrxry. Give prob of picking 1 d and 1 z. 1/57 What is prob of picking 2 l and 1 u when three letters picked without replacement from luul? 1/2 What is prob of picking 1 d, 2 r, and 1 a when four letters picked without replacement from {a: 3, d: 11, r: 3, v: 2}? 33/1292 Three letters picked without replacement from {m: 1, h: 8, c: 1, y: 1, n: 1}. What is prob of picking 2 y and 1 h? 0 Two letters picked without replacement from {i: 1, x: 1, d: 2, z: 1, t:
{ "pile_set_name": "DM Mathematics" }
(-3)) -37 What is the value of (5/(2 + 18))/((35/90)/((-182)/(-52)))? 9/4 What is the value of (53 - 42)*(30/(-385))/((-3)/(-63))? -18 What is the value of ((-405)/(-8505))/((-4)/18*3/2)? -1/7 Evaluate (45/4)/((-1152)/3072). -30 What is the value of 24/552 + 1593/1449? 8/7 Calculate 145/(-5) - ((-1878)/28 - -38). 1/14 What is ((50 - 29) + 3663/(-174))*(-168)/(-63)? -4/29 Calculate (30 - (-4654)/(-156))*((-84)/(-7))/(118/3). 3/59 8/(40/325) + (-27)/54*28 51 Calculate 1880/56 + 13 + 0 + (-88)/7. 34 Calculate (-118)/(-9)*279/(-30) - 129/526320*272. -122 What is the value of (-1422)/27*3/2*(-29 - 1740/(-58))? -79 37 - (190437/2717 + (-72)/66) -32 Evaluate (1296/(-5))/(-3) - (-47)/(24910/(-1272)). 84 What is the value of 2 + 0 + 117/(-52) - 578/(-2856)? -1/21 Evaluate 5/36*(992/2728 - (-104)/(-770)). 2/63 What is the value of -12 - ((-276)/(-40250)*25)/((-4)/270)? -3/7 Calculate 41 + -2*(-8)/(-16) + -47 + 41. 34 What is (-6)/(-93) + 1840525/27497? 67 Evaluate 872644/3936 + -202 + (-3)/8. 58/3 What is the value of (-81)/(-1134) - 489/(-210) - (-40)/(-8)? -13/5 What is the value of (-424)/(-3180) - -6*201/405? 28/9 Calculate (-585)/(-11) + (6864/64)/33 + (-1057)/308. 53 Evaluate (-136)/544*12/5*(-35)/91*-1. -3/13 Calculate (-158)/23 + -1 - (-324 - -316). 3/23 What is the value of (-20700)/1050*(-175)/150? 23 What is (-14 + (-282)/(-20) - (-31)/(-60))*(-3198)/(-820)? -13/8 What is (-1179 - -1180)*(-2)/8? -1/4 Evaluate (-4240)/(-2116) - ((-288)/528)/(7/(-154)*6). 2/529 Calculate -7 + 5/(-345)*6009 - 158/(-1817). -94 What is the value of (4278/(-12121))/(6/(-136))? 8 Evaluate 52701/(-23955)*-5*5. 55 What is the value of 18 + 20746/(-369) + 38? -2/9 Evaluate 40/5 + (-4158)/504 - (-2)/(-456)*-61. 1/57 What is (7370/1650)/(15/(-45)) - (-17)/1? 18/5 Evaluate (-440)/(-385) + (-18)/(-126)*((-5)/(-1) - 27). -2 What is the value of (-37 - (-2760)/75)/(1/13) - 0? -13/5 Evaluate (504/4284)/(2*21/102). 2/7 (-5)/(-6)*((118/(-20))/((-140)/(-238)) - -10) -1/40 What is (60/(-105))/(127/28 + 29 + (-2144)/64)? -16 (-1*(-1 + 2))/(1144/868 + 90/(-70)) -31 Calculate (-202)/5151 - 8/34*8025/45. -42 5 + 10 + (42 + 3)/(-5) + (-3705)/650 3/10 What is the value of -5 + -3 - (-27 - (-4080)/153)/(3/117)? 5 21 + 15 - 4641/(-663) 43 (((-15)/12)/(-5))/((-52269)/(-456) + -114) 2/5 What is the value of (61408/1216)/(1*(-4)/8)? -101 Calculate 0/(-3) + -11 - ((-4194666)/4662)/81. 4/37 (22/44)/(-1 + (-11)/(-14)) -7/3 ((164/(-36) - -5)*(-3)/(-4))/((-21)/2394) -38 (-3070 - 50)/65 - (3 - 1) -50 Evaluate (-195)/(-204) - ((-14)/756)/(32/(-1728)). -3/68 What is the value of 486130/224554 + 96/(-44)? -1/59 Evaluate 0 + 2 + (-38)/(-38) - 4 - (-5376)/64. 83 Calculate 1308/(-2180)*(-5)/(-6)*-13. 13/2 What is the value of (1/(44/(-4)))/(-7 + (-35)/(156695/(-31117)))? 11/6 Evaluate -6*164/2706*-44. 16 Evaluate 4/(-14)*(-2628066)/(-15324). -49 What is the value of ((-2)/4)/(-1)*((-36180)/(-1407))/(-6)? -15/7 What is (56 + 29524/(-605))*10/(-3)? -24 11/(-55) + -18*7747/(-1830) 76 What is (0 - ((-32)/56*(8 - 1) - 1)) + 30? 35 Evaluate (55 + -60)*(3 + 0)*(275/(-15))/11. 25 Evaluate (-36)/(-156) - 2768/52. -53 Calculate ((-714)/(-68) + -11)/((-110)/120). 6/11 Calculate -11 - 1 - 531*28/(-1260) - 1316/20. -66 What is the value of (-1873043)/28441 + (-128)/14? -75 Evaluate 40/4*(1690/(-100) - -17). 1 3177/295461 - 7162/93 -77 Evaluate (-12 + -28*(-36)/(-24))*1. -54 Evaluate 23/(-69) + 4/(-6)*(-341)/62. 10/3 Evaluate (-344)/68 - -5 - 1439181/18003. -80 Evaluate (26 + (-126)/36)/((-9)/18). -45 What is the value of (-211 - -222)*(-2 + ((-4)/(-10) - 18/(-12)))? -11/10 Evaluate 1*(-777)/(-31) + (-352)/5456. 25 Calculate 2112/(-17) - (-10544)/44812. -124 What is the value of 366/976*(-53 - -45)? -3 63 - (-5)/((-6)/9 + 22/132) 53 Evaluate (228 - (-370035)/(-1620))*(30/14 + -1). -10/21 Calculate 640/(-18) + 5756/(-12951). -36 What is the value of 1008/15792 + (-1251)/26226? 1/62 What is the value of ((-18)/(-24))/((-24)/480)*13/(520/48)? -18 Evaluate 63/18*974/(-3409). -1 What is (-174 - (-259478)/1507)*33/(-2)? 30 What is the value of (((-344)/(-860))/((-8)/5))/(4/(-272))? 17 ((-1512)/672)/(30/16)*100/(-15) 8 What is (100/(-50))/((-360)/(-432))? -12/5 What is (-16 + 495/30)*106 - (0 + (5 - 1))? 49 Evaluate (-300)/20 + 18 - (2 + -64). 65 What is (-18)/90 + (-81)/(-455) + (-57)/(-21) + -3? -4/13 Calculate ((-4)/(-56))/((-616)/(-5782)) + (-3)/24. 6/11 Evaluate (55/110)/((-9)/9*-12). 1/24 What is (-16 + (25 - -11))/(-4)? -5 Calculate (-112)/3136*(18 - 20). 1/14 22/((39/117 - 7) + (-12)/(-2)) -33 Calculate (-215)/(-4)*(45990/(-450) + 103). 43 2/24*(-13356)/(-21147) 1/19 -19 + ((-17)/2)/(183/(-366)) -2 What is the value of ((564/(-63))/(-2))/(1768/78 - 23)? -94/7 (-9940)/1136*8/(-10) 7 Calculate -168 - -5 - (3045 - 3192). -16 What is the value of (14 + (-19 - -32))/((-3)/4)? -36 What is the value of (-87)/39 + 2 - (14 - (135036/(-117))/(-44))? 12 Calculate (8/(-11))/((-358204)/3799521). 54/7 -10*(-8)/80*15/720 1/48 Evaluate (-335)/1840*-1 - 3600/(-27600). 5/16 What is the value of (-5)/((-25)/6) - 36/(-90)*-98? -38 (-5240)/1572 - (-8 - (-8)/(-6)*-3) 2/3 Evaluate ((-1)/(-5))/(798/1995). 1/2 Evaluate (56/((-1092)/39) - (-11)/2)*-2. -7 24/(-104) + (-16)/1*915/780 + 0 -19 What is the value of (-42)/(-4)*740/1295*(-6)/(-27)? 4/3 What is the value of (-22480)/24320*-80 + (0 - (-1)/19)? 74 What is (-52 - 0) + 30814/434? 19 What is the value of (444/(-1184) + (-45)/40)/(0 + (-1)/(-54))? -81 Evaluate (-10)/32*333000/(-23125). 9/2 Evaluate 29 - (1749/5247 - 2834/(-99)). 4/99 What is (-8 + (-71 - -80))/(-29*6/(-18))? 3/29 What is the value of (27/(-30))/((-12)/20)*((82 - 43) + -79)? -60 What is 6/(-5) + (-765968)/(-615510)? 2/45 Evaluate (38 - 77) + 60 + (-696)/33. -1/11 504/(-120) + (-2408)/(-1290) -7/3 What is ((-1128)/58797)/(-5*(-32)/120)? -2/139 What is the value of 249524/305592 + (-12)/(144/10)? -2/119 ((-48)/(-2))/(30336/34128) 27 What is (44 + 1224/(-28))*224/272? 4/17 What is the value of (198360/972)/(-190) + (31/54 - (-1)/(-2))? -1 What is the value of (-4)/40*((-14)/(-6) - (-89)/(-267))? -1/5 What is (6283/(-206))/((-5)/10)? 61 What is 1904/(-2040)*(-36)/(-14)? -12/5 What is (-1824)/228 + 1*20 + -62? -50 What is the value of (-84)/(-560) + 34845/(-2300)? -15 What is 1442/(-6)*(25 - 32 - 208/(-28))? -103 What is (29 + 13 - 119) + -2 + -12? -91 (-1251)/126 + 10 - (-979)/1246 6/7 Evaluate 3380/(-9633) - -1*(-12)/(-38). -2/57 What is 10 + -14 + -29 + (-880)/(-30)? -11/3 Evaluate 1/((-140)/122)*(-198)/(-396) + 58/203. -3/20 What is the value of (133/42)/(5915/7098)? 19/5 Evaluate (-268424)/18067*(-252)/(-78). -48 Calculate (3 - 685/175)/((-12)/40 - (-14)/20). -16/7 What is -11 - 207/(-18) - (-7 + (2 - -106))/(-2)? 51 13/(39/57) + (-405)/20 -5/4 What is 0 + (-1225)/(-28) - (-1029 - -1068)? 19/4 (-184)/(-18) + 22*117/(-11583) 10 What is the value of (-58764)/(-664)*16/(-30) + (-12)/(-10)? -46 Evaluate 13*-1 + (618233/49049 - (-12)/14). 6/13 Calculate (-2*3)/((125 + (-11137)/86)/(258/4)). 86 Calculate 208/28*(-2)/4 - (14946/371 + -40). -4 What is the value of (-44)/3*(128 - 84424/671)? -32 What is the value of (1 + 41)/(-1)*(-248 + 45 + 201)? 84 Calculate (-168)/1932 + (384076/(-16698) + 23)/((-1)/89). 1/33 What is the value of (5325/2475)/((-1)/(-3)) - 12/(-22)? 7 1 - (2 + (78/56)/((-126)/(-336))) -33/7 What is (1078/140)/(1988/355)? 11/8 (396/(-440) + (-11)/22)*(-1)/((-3)/105) -49 What is the value of (9280/(-400))/(71/(-355))? 116 -560 - -606 - (26 + 2) 18 Evaluate ((-39208)/1305 - -30)*-35. 14/9 Evaluate (-62)/(-341)*(2712/(-140) + 20). 4/35 Evaluate 92 + (55 - (98 + 8)). 41 What is the value of ((-750)/6100)/(786/(-7991))? 5/4 (95/(29450/496))/(-1 - (-33)/35) -28 Calculate (68/(-153))/(588/756). -4/7 What is the value of (4/(-2752)*-86)/((-1)/328)? -41 Evaluate 561/198 - (-460)/24. 22 (5 - (-33)/((-143)/(-13)))/((-56)/(-588)) 84 What is the value of 64 + 1 - (11/33)/((-95)/4845)? 82 What is (-89)/(-3649)*3444/672? 1/8 (-3)/(-14)*((-4)/(240/(-365)) - 145/174) 9/8 What is 34220/(-649) - -34 - 8/(-11)? -18 What is (((-104)/(-6))/(-13))/(-4 + 188/6)? -2/41 Evaluate ((-40)/14 - 2)/(((-1040)/(-546))/40). -102 What is (-687)/7786*136/48? -1/4 33 + (-4350)/42 - -37 - -36 17/7 166152/178020*(-6)/(-8) 7/10 Calculate (-61456)
{ "pile_set_name": "DM Mathematics" }
{y: 5, l: 2, g: 2, u: 3, o: 7, c: 1}. 7/190 What is prob of picking 2 m, 1 n, and 1 s when four letters picked without replacement from {s: 2, n: 2, m: 5}? 20/63 Two letters picked without replacement from kzzzikhmzkkkkkzizmzz. What is prob of picking 1 z and 1 k? 28/95 What is prob of picking 1 j and 1 p when two letters picked without replacement from {j: 8, l: 8, p: 1}? 1/17 Two letters picked without replacement from nbdn. What is prob of picking 1 d and 1 n? 1/3 Two letters picked without replacement from {r: 1, c: 1, w: 6, h: 1, q: 1, x: 1}. What is prob of picking 1 q and 1 w? 6/55 What is prob of picking 1 h, 1 b, and 1 l when three letters picked without replacement from {g: 1, j: 1, h: 3, b: 1, l: 1}? 3/35 Two letters picked without replacement from {z: 9, c: 3}. Give prob of picking 2 z. 6/11 Calculate prob of picking 1 w and 3 n when four letters picked without replacement from nnnnnnnwnnnnn. 4/13 Four letters picked without replacement from {x: 3, y: 11}. Give prob of picking 2 y and 2 x. 15/91 Four letters picked without replacement from {t: 2, z: 2, e: 1, h: 1, g: 2}. What is prob of picking 1 z, 2 g, and 1 e? 1/35 Four letters picked without replacement from {v: 3, y: 4}. What is prob of picking 2 y and 2 v? 18/35 Three letters picked without replacement from pppjjpppcp. What is prob of picking 2 p and 1 j? 7/20 What is prob of picking 1 i and 1 m when two letters picked without replacement from {m: 3, i: 4}? 4/7 Two letters picked without replacement from {m: 4, q: 2}. What is prob of picking 1 q and 1 m? 8/15 What is prob of picking 1 e and 2 j when three letters picked without replacement from {f: 4, j: 4, e: 6, l: 1}? 36/455 Calculate prob of picking 1 a and 1 o when two letters picked without replacement from vao. 1/3 Calculate prob of picking 2 s when two letters picked without replacement from {t: 1, r: 1, g: 2, q: 1, s: 3, b: 3}. 3/55 Calculate prob of picking 2 h and 2 x when four letters picked without replacement from xxxhxxxxhhxxhxxxxx. 91/510 Calculate prob of picking 3 t when three letters picked without replacement from pfttfpttjfhpjfpptf. 5/408 What is prob of picking 1 t and 1 s when two letters picked without replacement from {s: 2, t: 6}? 3/7 What is prob of picking 2 e when two letters picked without replacement from {e: 1, h: 1, p: 2}? 0 What is prob of picking 3 n when three letters picked without replacement from nnnnnnennnnnnnnnnnn? 16/19 What is prob of picking 2 q and 1 e when three letters picked without replacement from {y: 5, q: 2, e: 3}? 1/40 Calculate prob of picking 3 h when three letters picked without replacement from hzzzthh. 1/35 Four letters picked without replacement from {n: 7, g: 2}. Give prob of picking 1 g and 3 n. 5/9 Three letters picked without replacement from xfnvvnxhe. Give prob of picking 1 f, 1 h, and 1 v. 1/42 What is prob of picking 2 g and 2 c when four letters picked without replacement from {g: 12, c: 3}? 66/455 Four letters picked without replacement from {j: 4, n: 2, g: 10}. Give prob of picking 2 n, 1 j, and 1 g. 2/91 Calculate prob of picking 2 t when two letters picked without replacement from tibibbbibbti. 1/66 Calculate prob of picking 2 b when two letters picked without replacement from aabbgagaabgbcbb. 1/7 What is prob of picking 2 s and 1 w when three letters picked without replacement from {s: 3, q: 1, r: 4, w: 1, z: 2}? 1/55 Four letters picked without replacement from uctctttxmutt. Give prob of picking 1 t, 1 c, and 2 u. 4/165 Calculate prob of picking 2 l and 2 b when four letters picked without replacement from blbhbhnblbhnbbbb. 9/455 Calculate prob of picking 1 o and 3 u when four letters picked without replacement from {a: 1, o: 9, u: 10}. 72/323 What is prob of picking 2 h when two letters picked without replacement from {h: 3, y: 7}? 1/15 What is prob of picking 2 l and 1 i when three letters picked without replacement from ulilfuoi? 1/28 What is prob of picking 2 h when two letters picked without replacement from ggghhghhhhhgh? 14/39 Calculate prob of picking 2 c, 1 x, and 1 q when four letters picked without replacement from xxacqxaakaaqcka. 2/455 What is prob of picking 3 i when three letters picked without replacement from iywiywiw? 1/56 Two letters picked without replacement from {w: 2, i: 3, u: 2, v: 2, c: 4, q: 2}. Give prob of picking 1 c and 1 w. 8/105 Two letters picked without replacement from {v: 4}. Give prob of picking 2 v. 1 Two letters picked without replacement from {l: 1, s: 2, v: 1, n: 4, q: 1, k: 3}. Give prob of picking 1 s and 1 n. 4/33 Calculate prob of picking 1 g and 1 o when two letters picked without replacement from iqgqpoz. 1/21 Two letters picked without replacement from gmmgmgmmmmmmmmggmmm. What is prob of picking 1 m and 1 g? 70/171 What is prob of picking 1 a and 1 z when two letters picked without replacement from aallzlzllz? 2/15 Three letters picked without replacement from cvcccccjcj. Give prob of picking 1 c and 2 j. 7/120 Two letters picked without replacement from jujeljjmujujej. What is prob of picking 1 e and 1 m? 2/91 Two letters picked without replacement from kpgkgp. What is prob of picking 1 g and 1 k? 4/15 What is prob of picking 2 e when two letters picked without replacement from teetewtetwttvww? 2/35 Four letters picked without replacement from {i: 15, n: 3}. Give prob of picking 4 i. 91/204 Calculate prob of picking 1 g and 2 k when three letters picked without replacement from gkkkkgkkk. 1/2 Calculate prob of picking 1 j, 2 m, and 1 w when four letters picked without replacement from {w: 1, m: 7, j: 4, a: 2, e: 2}. 3/65 What is prob of picking 1 m and 1 e when two letters picked without replacement from yyqme? 1/10 Three letters picked without replacement from {h: 1, m: 3, n: 4, y: 2}. What is prob of picking 1 h, 1 m, and 1 n? 1/10 Three letters picked without replacement from oywguoyge. Give prob of picking 1 g, 1 e, and 1 u. 1/42 Two letters picked without replacement from {s: 5, k: 5}. Give prob of picking 2 k. 2/9 What is prob of picking 1 y and 1 d when two letters picked without replacement from {q: 1, i: 3, y: 2, d: 1}? 2/21 Two letters picked without replacement from {h: 1, q: 2, b: 4, w: 4}. Give prob of picking 2 b. 6/55 Two letters picked without replacement from pgiaiangapwa. What is prob of picking 1 w and 1 i? 1/33 Calculate prob of picking 2 i when two letters picked without replacement from {c: 2, n: 3, i: 9, y: 4, q: 1}. 4/19 What is prob of picking 2 h and 2 w when four letters picked without replacement from {h: 13, w: 6}? 195/646 What is prob of picking 2 r when two letters picked without replacement from mmmryrqrmqrqrryrhqmm? 21/190 Three letters picked without replacement from {d: 2, r: 6}. What is prob of picking 3 r? 5/14 Calculate prob of picking 3 s when three letters picked without replacement from {s: 4, k: 3, g: 2}. 1/21 Calculate prob of picking 3 h when three letters picked without replacement from {h: 5, t: 6, k: 4, b: 1}. 1/56 Calculate prob of picking 1 o and 2 y when three letters picked without replacement from yotoyyy. 12/35 What is prob of picking 1 t, 1 z, and 2 j when four letters picked without replacement from tmtjnmjljzt? 3/110 Two letters picked without replacement from aaaaaa. Give prob of picking 2 a. 1 Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {a: 2, p: 1, l: 4, d: 6, b: 4}. 1/34 Calculate prob of picking 2 p when two letters picked without replacement from ppppppp. 1 Two letters picked without replacement from {f: 1, k: 4, b: 3}. Give prob of picking 2 b. 3/28 Two letters picked without replacement from kfffxkfxxffxxxf. Give prob of picking 1 x and 1 k. 4/35 Two letters picked without replacement from {d: 1, s: 1, k: 1}. What is prob of picking 1 d and 1 k? 1/3 Three letters picked without replacement from ktttlkltlkhlt. What is prob of picking 1 h and 2 k? 3/286 Calculate prob of picking 3 o and 1 a when four letters picked without replacement from ajoaoooooaaaojoao. 18/85 What is prob of picking 1 s and 1 n when two letters picked without replacement from nsnnsnn? 10/21 What is prob of picking 1 h and 1 j when two letters picked without replacement from kpjjhjjkkhjjjjpkhjkp? 27/190 What is prob of picking
{ "pile_set_name": "DM Mathematics" }
, 1 Let i = -27027 - -27027. Let c(j) be the first derivative of 0*j + 2/15*j**3 + i*j**2 - 27 + 2/15*j**4 + 2/75*j**5. Factor c(z). 2*z**2*(z + 1)*(z + 3)/15 Let f(n) = -21*n**2 - 295*n + 56. Let s(w) = w**2 - 1. Let p(i) = -f(i) + 4*s(i). Determine b, given that p(b) = 0. -12, 1/5 Let k(q) = -q**3 + 5*q**2 - 14. Let f be k(4). Factor 30*o**4 - f*o**3 + 4*o**2 - 16*o**4 - 16*o**4. -2*o**2*(o - 1)*(o + 2) Let b = -20180 + 20182. Determine j, given that -2/5*j**3 + 16/5*j + 0 + 68/15*j**b = 0. -2/3, 0, 12 Factor c**3 + 3*c - 5128*c**2 + 5054*c**2 - 3*c. c**2*(c - 74) Factor 4/3*h**4 + 400/3 - 56/3*h**3 - 560/3*h + 92*h**2. 4*(h - 5)**2*(h - 2)**2/3 Let i(t) = 3*t**3 - 116*t**2 - 93*t + 30622. Let v(l) = 3*l**3 - 117*l**2 - 90*l + 30621. Let b(n) = -3*i(n) + 4*v(n). Factor b(s). 3*(s - 27)**2*(s + 14) Suppose 2*v = -r - 2*r + 35, -2*v - 85 = -5*r. Suppose -11 = 2*q - r. Factor 7*u**3 + q*u + 5*u**2 - 2*u**2 - u**3 - 5*u**3. u*(u + 1)*(u + 2) Let a be (((-6)/(-20))/((-3969)/315))/((-305)/(-18) - 17). Solve -18/7*y**2 + 0*y + a*y**4 + 3/7*y**3 + 0 = 0 for y. -3, 0, 2 Let n(t) = t + 10644. Let r be n(0). Factor 10639*v**3 + 6*v**2 - r*v**3 + 2*v**4 - 4*v**2. v**2*(v - 2)*(2*v - 1) Let o be 20/25 - ((-1836)/20 + -2). Let d = -94 + o. Factor d*r**2 + 0 + 0*r - 1/5*r**3. -r**2*(r - 3)/5 Let a(h) be the second derivative of -h**7/49 + 79*h**6/70 - 1683*h**5/140 + 1079*h**4/28 - 781*h**3/14 + 279*h**2/7 - 2*h + 1. Solve a(g) = 0 for g. 1/2, 1, 6, 31 Let j(f) be the third derivative of 5*f**8/448 - 5*f**7/42 + 19*f**6/48 - f**5/2 - 5*f**4/96 + 5*f**3/6 - 204*f**2. Determine u so that j(u) = 0. -1/3, 1, 4 Let l(q) be the first derivative of 56 + 3/5*q**5 + 213*q**4 + 30246*q**3 + 76235043*q + 2147466*q**2. Let l(w) = 0. Calculate w. -71 Let p(q) be the second derivative of -1/7*q**4 - 6/7*q**2 - 1 + 13*q + 11/21*q**3 + 1/70*q**5. Suppose p(z) = 0. Calculate z. 1, 2, 3 Factor -725*y - 9*y**2 + 10*y**2 + 33*y + y**2. 2*y*(y - 346) Suppose -8*x - 15 - 1 = 0. Let t(i) = 2*i**3 + 4*i**2 + 3. Let j be t(x). Factor -40 + 2*r**2 - 32*r**2 + 7*r - 5*r**j - 31*r - 36*r. -5*(r + 2)**3 Let n(q) be the first derivative of -5*q**4/2 + 214*q**3/3 - 442*q**2 + 320*q - 6837. Let n(y) = 0. What is y? 2/5, 5, 16 Let j(z) be the third derivative of -z**6/120 + 119*z**5/60 - 61*z**2 - 3*z. Factor j(q). -q**2*(q - 119) Suppose 128*m - 125*m + 4*l = -16, 2*m - 12 = 3*l. Let m - 1/2*k**2 - 1/2*k = 0. What is k? -1, 0 Let c(y) be the first derivative of 4*y**5/5 + 35*y**4/3 - 212*y**3/9 - 22*y**2/3 + 104*y/3 + 141. Suppose c(m) = 0. What is m? -13, -2/3, 1 Let x(i) = -1664 + 850 + 7*i + 856 - i. Let f be x(-7). Factor f*v - 3/7*v**4 + 0*v**2 + 0 - 3/7*v**3. -3*v**3*(v + 1)/7 Solve -62*p**2 - 59*p**2 + 17*p - 15 + 3*p + 116*p**2 = 0 for p. 1, 3 Let -1/3*y**3 - 20 + 56/3*y - 11/3*y**2 = 0. What is y? -15, 2 Let d(u) be the first derivative of 2*u**5/25 + u**4 + 6*u**3/5 - 1579. Determine w so that d(w) = 0. -9, -1, 0 Let v(n) be the second derivative of 0*n**2 - 7/24*n**4 + 1/2*n**3 + 17 - 4*n + 1/40*n**5. Determine b, given that v(b) = 0. 0, 1, 6 Determine f, given that 41/5*f**2 + 174/5*f - 216/5 + 1/5*f**3 = 0. -36, -6, 1 Determine n, given that 60*n**4 - 7*n - 3*n**2 - 12*n**4 - 47*n**4 + 6 + 3*n**3 = 0. -3, -2, 1 Suppose 0 = 9*w - 28 - 8. Let y(f) = -210*f. Let t be y(-1). Let t*u**3 - 16*u**4 + 84*u - 12 - 142*u**2 - 59*u**w - 65*u**2 = 0. What is u? 2/5, 1 Let l = -199 + 217. Solve 138*v - 3*v**2 - 117*v + 0*v**2 - l = 0 for v. 1, 6 Suppose 28*n - 663 = 11*n. Factor n*u + 24 - 21 + 21*u - 2*u**2 - 61. -2*(u - 29)*(u - 1) Find g such that g**2 - 449*g - 2614 + 474*g + 2714 = 0. -20, -5 Suppose -5*b + 36 = 4*y - 9*b, 5*b + 25 = 0. Factor -17*u**4 - 15*u**4 + y*u**5 - 4*u**3 + 3*u**3 - 3*u**3 + 0*u**5 + 32*u**2. 4*u**2*(u - 8)*(u - 1)*(u + 1) Let d(f) be the first derivative of f**4/20 - 29*f**3/5 - f**2/10 + 87*f/5 + 2775. Factor d(k). (k - 87)*(k - 1)*(k + 1)/5 Let n(s) be the first derivative of -4*s**5/5 + 17*s**4 + 292*s**3 + 830*s**2 - 2600*s + 233. Factor n(o). -4*(o - 26)*(o - 1)*(o + 5)**2 Let x(z) = 4*z**2 - 4*z**2 + 2*z**2 - 2 + 4*z**2 - 5*z**2. Let t(g) = -4*g**2 + 18*g + 10. Let l(v) = -3*t(v) - 15*x(v). Factor l(w). -3*w*(w + 18) Let v(w) = -7*w**4 - 199*w**3 - 1285*w**2 - 2682*w - 1594. Let j(z) = -4*z**4 - z**3 - z**2 - 1. Let p(s) = -j(s) + v(s). Find q, given that p(q) = 0. -59, -3, -1 Let j(u) be the first derivative of -u**3/8 + 825*u**2/8 - 226875*u/8 - 127. Find b, given that j(b) = 0. 275 Factor 4*v**3 - 24 + 24 - 76*v - 3687*v**2 + 3384*v**2. v*(v - 76)*(4*v + 1) Let o = -337813 - -3715945/11. Let i = -1 - -3. Factor o*l**i - 4/11 + 2/11*l. 2*(l - 1)*(l + 2)/11 Let x(j) = 9*j**2 - 836*j - 214379. Let i(g) = 10*g**2 - 827*g - 214380. Let n(y) = 10*i(y) - 11*x(y). Determine b, given that n(b) = 0. -463 Let a(i) be the first derivative of 2*i**3/15 - 34*i**2 + 2890*i + 2016. Factor a(f). 2*(f - 85)**2/5 Let m(s) = -s**3 - 16*s**2 - 206*s - 874. Let h be m(-6). Factor 1/2*d - 3*d**h + 5/2. -(d - 1)*(6*d + 5)/2 Suppose -70*p = -58*p - 36. Suppose 3*r - 15 = -3*z, -p*z + 2 = -5*r + z. Factor 1/2*j**3 + 1/4*j**4 + 0*j**r + 0 + 0*j. j**3*(j + 2)/4 Let f(v) = v**3 - 31*v**2 - 51*v + 192. Let p be f(32). Let u = p + 2081/5. Solve 1/5*y**2 + 0 + 0*y + u*y**5 + 3/5*y**3 + 3/5*y**4 = 0. -1, 0 Let o be 6/(-1 + 1 + 12/13002). Suppose 0*k**2 + 8*k**2 + 6505*k - o*k - 4*k**2 = 0. What is k? -1, 0 Let w(z) be the first derivative of -39*z**5/4 + 387*z**4/16 - 53*z**3/4 - 63*z**2/8 + 15*z/2 - 4324. Find p, given that w(p) = 0. -2/5, 5/13, 1 Let w(x) be the second derivative of -x**4/96 - 37*x**3/24 + 231*x**2/16 - x - 5854. Determine u, given that w(u) = 0. -77, 3 What is h in -880/9 - 2/9*h**2 + 76/3*h = 0? 4, 110 Let k(x) = x**4 + 4*x**3 - 16*x**2 - 28*x - 15. Let q(r) = 2*r**3 + r**2 - 1. Let u(b) = -k(b) + 3*q(b). Factor u(d). -(d - 6)*(d + 1)**2*(d + 2) Let d be (-1234)/(-266) - (-23 + 26). Let l = 42/19 - d. Factor 1/7*p**5 + 0*p + l*p**2 - 4/7*p**4 + 0 - 1/7*p**3. p**2*(p - 4)*(p - 1)*(p + 1)/7 Let h(i) be the first derivative of i**4/4 - i**3/3 + 2*i - 11. Let k(u) = 16*u**3 - 84*u**2 + 4*u + 104. Let w(l) = 20*h(l) - k(l). Solve w(g) = 0 for g. -16, -1, 1 Suppose 10 - 12 = -j + 5*c, -5*j + 160 = 5*c. Factor -176*h**3 + 352*h**3 - 181*h**3 - j*h + 102*h - 10*h**2. -5*h*(h - 3)*(h + 5) Let n(k) be the third derivative of k**6/8 - 73*k**5/20 + 95*k**4/4 + 44*k**3 - 5*k**2 + 16*k. Suppose n(b) = 0. What is b? -2/5, 4, 11 Solve 0 - 66246/17*p**2 + 730/17*p**3 - 66978/17*p - 2/17*p**4 = 0 for p. -1, 0, 183 Let v = -49 + 52. Suppose -5*s - 5*g + 33 = -2, -g = -v*s + 9. Factor -s*l**2 + 933 - 933. -4*l**2 Find a such that 720/13 - 170/13*a**2 + 964/13*a + 6/13*a**3 = 0. -2/3, 9, 20 Suppose -77*t + 75*t + 6 = 0. Find i such that -9*i**4 - 114*i**2 - 10 - 7 - 4 - 81*i - 66*i**t + 3*i**5 = 0. -1, 7 Let f(g) = 2272*g + 195394. Let p be f(-86). Factor 0 + 4/7*v**3 - 88/7*v + 12*v**p. 4*v*(v - 1)*(v + 22)/7 Let v = -426 + 428. Suppose 50*a - 5*a**v + 29*a**2 - 17 - 6*a**2 + 142 - 13*a**2 = 0. What is a? -5 Let l(a) be the second derivative of a**5/20 - 7*a**3/2 + 10*a**2 - 65*a + 1. Let l(j) = 0. What is j? -5, 1, 4 Solve -86/7*w - 8 - 1/7*w**3 - 31/7*w**2 = 0 for w. -28, -2, -1 Let u(z) be the third derivative of z**7/1470 + z**6/120 - z**5/420 - z**4/24 + 8925*z**2. Let u(s) = 0. Calculate s. -7, -1, 0, 1 Let q(n) be the second derivative of -n**6/540 + 2*n**5/45 + n**4/4 - 11*n**3/6 + 86*n. Let j(a) be the second derivative of q(a). Determine o so that j(o) = 0. -1, 9 Let d = 1733/858 - 387/286. Let 1/3 - 1/6*u**5 + 1/3*u**3 - 1/6*u + 1/3*u**4 - d*u**2 = 0. What is u? -1, 1, 2 Determine y so that -46/7*y**3 + 46/7*y - 2/7*y**4 + 0 + 2/7*y**2 = 0. -23, -1, 0, 1 Let r be (178009 - 1)/(-7 + (-85)/(-10)). Suppose -115*d**2 - 2*d**3 - r - 825*d + 35*d**2 - 8301*d - 154*d**2 + 34 = 0. Calculate d. -39 Suppose 3*c = 22 - 13. Factor 3469*r**4 - c*r**3 - 3466*r**4 + 0*r**3. 3*r**3*(r - 1) Let q(l) be the third derivative of l**7/525 + 61*l**6/600 - 469*l**5/100 + 838*l**4/15 - 1504*l**3/15 - l**2 + 661. Suppose q(w) = 0. What is w? -47, 1/2, 8 Suppose -4*t - 5*r + 27 = -0*r, 3*r - 6 = t. Let g(j) = j**2 - 7*j + 3. Let u(q) = q**2 - 13*q + 5. Let z(b) = t*u(b) - 5*g(b). Factor z(
{ "pile_set_name": "DM Mathematics" }
) -0.061 f What is the smallest value in -11338/3, -3, -2/15, 0.48? -11338/3 What is the third smallest value in -7, -1/2, -1, 163398, -0.4? -1/2 Which is the fourth biggest value? (a) 3/4 (b) -4/5 (c) 7623 (d) -3 (e) 1/5 (f) 1.8 e Which is the third smallest value? (a) 1/17 (b) 3 (c) 1.4 (d) -2.6 (e) -5 (f) -4 d What is the third biggest value in 5, -8, -0.06, 1, -14, 0.6? 0.6 What is the second biggest value in 0.29573, 7.7, 1/5, -1? 0.29573 Which is the fourth biggest value? (a) -1 (b) -4 (c) 123/13 (d) 4 b What is the third smallest value in 0.2, -27453, 0.5, -5.4? 0.2 What is the third smallest value in 0.0447588, -1, 0.06? 0.06 What is the fourth biggest value in 78601, 2/11, 0, 1, -2/9, 2, 3.9? 1 What is the biggest value in -0.39, 1/2, 0.038, -12385? 1/2 Which is the sixth biggest value? (a) -2/5 (b) -4 (c) -392 (d) 16 (e) -2/17 (f) -2/19 (g) 12 b Which is the fourth biggest value? (a) 153 (b) 0.3 (c) 1/16 (d) -298/5 d What is the third biggest value in -8, 1, -4/5, -449/16? -8 Which is the fourth biggest value? (a) 0.3 (b) -1 (c) -12/67 (d) -809 d What is the third biggest value in 2, 1.5, -255, 4, 0.32, -5? 1.5 What is the smallest value in 14/41, -9408, -2/5? -9408 Which is the third biggest value? (a) -52 (b) -1/7 (c) 3.44544 a What is the fourth smallest value in -140, -0.12, -96, -4, 4/5? -0.12 What is the second smallest value in -0.606, 2/7, 1, -0.06? -0.06 Which is the second smallest value? (a) 5 (b) 3.3834 (c) 3 (d) -37 (e) 1/4 e What is the second smallest value in -1/3, 8/115, 2/13, -7/10, -2/5, -0.15? -2/5 What is the third biggest value in 257.9, 0.053, -0.23, 4? 0.053 Which is the third biggest value? (a) 0.2 (b) 0.9 (c) 1/4 (d) 3/6272 a What is the fourth smallest value in -0.02, -117.95, 0, -2/7, 1.3, 0.01? 0 What is the second smallest value in -0.7, -1/2, 7, -0.644? -0.644 What is the second smallest value in 3, 39, -2.1, 2, 22, -3? -2.1 What is the biggest value in 5051, 4, -3/7, -0.5, -16.9? 5051 What is the second biggest value in 1/10, -4, -38366, 3, 0, -1/5? 1/10 Which is the third smallest value? (a) -5 (b) -4/5 (c) 52 (d) 1/163 (e) 5 (f) -11 b What is the fourth smallest value in -0.04, 2/5, -0.02, 10, 4/15, 1? 2/5 What is the smallest value in 2/81, -4132, -138/11, 4/5, 3/7, 0.4? -4132 Which is the third biggest value? (a) -51 (b) -139822 (c) -3.8 b What is the fifth biggest value in 242, -241, 0.18, 1/4, 1? -241 Which is the smallest value? (a) -1 (b) 0.3 (c) 7 (d) -43445 (e) -2 d Which is the sixth smallest value? (a) -1/5 (b) -0.1 (c) -5 (d) -7/1334 (e) -4.5 (f) -0.5 d What is the sixth biggest value in 51, 3, 34, -1/11, 0.1, -3, -5? -3 What is the fourth smallest value in 3, -2/13, 60, -5289, 5? 5 Which is the second biggest value? (a) -1/7 (b) 5 (c) -0.5 (d) 1/681 (e) -4 d What is the smallest value in -0.11, 1/41, -0.24, 8/5, -5? -5 Which is the third smallest value? (a) -1 (b) -21 (c) -2498/7 a Which is the third smallest value? (a) 13.0725 (b) 0.6 (c) 5 a What is the third smallest value in -28677752, -1/5, 0.3? 0.3 What is the third smallest value in 0.0374, 12.7, 0.042, -3? 0.042 What is the sixth smallest value in 2, 5, -3, -4/5, -0.071378, 0.3, 0? 2 What is the fifth smallest value in -10, 2/13405, -5, 2/3, 7/6? 7/6 Which is the fifth smallest value? (a) -0.9 (b) 17/3 (c) 58 (d) 2/3 (e) 9 (f) 1/5 e What is the sixth biggest value in -2.9, -72, -5, 0.5, 1.1, -6? -72 What is the second biggest value in -18/5, 118, -0.5, -1/261? -1/261 Which is the fifth smallest value? (a) -4 (b) -5 (c) 2/3 (d) -2 (e) 46/5 (f) -1865/4 c What is the sixth biggest value in -1/2, 4, 2/55, -1689, -11, 1/2? -1689 Which is the smallest value? (a) 3/5 (b) 6 (c) -7 (d) 13 (e) 2476 (f) 2/3 c What is the second biggest value in -2.5, 0.6, 0.12, -6, -2/3? 0.12 Which is the third biggest value? (a) 738542 (b) 4 (c) 1/6 (d) 2 d Which is the biggest value? (a) -0.2606 (b) -0.2 (c) -7 (d) 21 (e) 0.1 d What is the second smallest value in 0.9, -825, 1/11434? 1/11434 What is the smallest value in 1, 55736, -0.59? -0.59 What is the fifth biggest value in -0.3, 1/7, 31, 65336, 2/9? -0.3 What is the third smallest value in 7, -1, 911, -2, -58/3? -1 Which is the third smallest value? (a) -2/7 (b) 786 (c) 1 (d) 11/12 c What is the second smallest value in 3540, 5, 1/3, -5, -657/4? -5 What is the third smallest value in -0.437, -44/295, 1/13? 1/13 Which is the fourth smallest value? (a) -4 (b) 66 (c) -17 (d) 1/11 (e) 7 (f) 1.8 f What is the fifth smallest value in 5, 0, 0.3, 337831, 0.4? 337831 What is the smallest value in -11467, -1/746, 2? -11467 What is the sixth smallest value in -1, 4, -2, -1/3, -144.1, 0.4? 4 Which is the second biggest value? (a) -5 (b) 1/6 (c) -3 (d) -243 (e) 22 (f) -0.1 (g) 15 g Which is the sixth biggest value? (a) -3 (b) 16 (c) 0 (d) -2 (e) 6.5 (f) -0.5 (g) 3/5 d What is the second biggest value in 0.084, 2/7621, 1/2, -1? 0.084 Which is the biggest value? (a) 3 (b) -0.1 (c) 2 (d) -3 (e) -328825 a What is the third biggest value in 0.03, 6887/11, -0.3, -1, 3/7? 0.03 What is the second smallest value in 0.33, 5, 12480? 5 What is the third smallest value in 5374, -0.5, 1, -1/9, -0.012, 0.1? -0.012 What is the second biggest value in -4, 35389067, 5? 5 What is the smallest value in -1918, -3.934, -0.2? -1918 Which is the second smallest value? (a) 21 (b) 2337 (c) -79 a Which is the seventh smallest value? (a) 19 (b) -2 (c) -27/20 (d) 6 (e) 5 (f) 1/3 (g) 0.3 a Which is the second biggest value? (a) -32 (b) 0.7738 (c) 16 b What is the third biggest value in -0.4, 52/7, -3? -3 Which is the fifth biggest value? (a) -6 (b) -4/5 (c) 12 (d) 2 (e) -31 (f) 14 a Which is the fifth biggest value? (a) -0.3 (b) 1/774 (c) -1/2 (d) 15 (e) -0.16 (f) 9 a Which is the third smallest value? (a) 30 (b) 4671 (c) 1/3 (d) 1/2 (e) -9 d What is the fourth biggest value in 0.17, 5, 1/2, -25, -5/3, -3/4? -3/4 Which is the sixth smallest value? (a) 11 (b) 1/158 (c) -0.31 (d) -3 (e) -2 (f) -1/10 (g) 2/25 g What is the third smallest value in 7, 1/6, 9.4902? 9.4902 What is the fourth smallest value in 0.878, -1/4, 1/16, 0, 9, -0.4? 1/16 Which is the fifth biggest value? (a) 0.31 (b) 0.4 (c) -4/7 (d) -9 (e) -3/2 (f) -69.73 d Which is the second biggest value? (a) -4 (b) 3838 (c) -28/9 c Which is the smallest value? (a) -2/13 (b) -2/7 (c) -10 (d) -991 (e) 2/5 (f) -3/5 (g) -1 d Which is the fifth smallest value? (a) -1 (b) 1/8 (c) -7 (d) -1/4 (e) -2 (f) 0 (g) -24 d Which is the fourth biggest value? (a) -3 (b) -2 (c) 0.07 (d) -646789 d Which is the fourth biggest value? (a) 77385 (b) -425 (c) 5 (d) -1 b What is the second biggest value in -0.2, -14.2, 5, 83, 2/17, -423? 5 Which is the fourth biggest value? (a) 78 (b) 0.5 (c) 2/37 (d) -1/3 (e) 2/45 e Which is the third smallest value? (a) -0.5 (b) 4774785 (c) 1/8 b What is the third smallest value in -4, -4/7, 29/4, -315/4, 0.037? -4/7 What is the fourth biggest value in 163/5, -3/2, -41/4, 0.04, 0.18? -3/2 What is the third biggest value in 1/20, 10/3, 1, -2/5, 0.1, 0.031? 0.1 Which is the fourth biggest value? (a) 23599 (b) 3 (c) -2/19 (d) -2/17 (e) 7 c Which is the third smallest value? (a) -0.1 (b) 3 (c) -37 (d) 0.21 (e) 12 (f) -15 a Which is the seventh biggest value? (a) 11/3 (b) 0 (c) 0.4 (d) -1009 (e) -2 (f) 0.2 (g) 2/7 d Which is the second smallest value? (a) -1/5 (b) -0.03 (c) -662707 (d) 3 a Which is the smallest value? (a) -547 (b) -0.16 (c) -4 (d) -3 (e) -2/7 a What is the third smallest value in 12/47, 1.4, 233? 233 What is the second biggest value in 4, -22, 13764/49? 4 What is the biggest value in -786, -4, 68/15, 1/4? 68/15 What is the sixth smallest value in 128, -2, -0.3, -9, -5, -0.1? 128 What is the third smallest value in -1/7, -49/1004, 43? 43 Which is the fourth biggest value? (a) -3 (b) 3 (c) -0.5234 (d) 5 (e) -2/3 (f) -5/4 e Which is the second biggest value? (a) -0.069 (b) 1 (c) -2/9 (d) 3 (e) 2 (f) -0.39 e Which is the third biggest value? (a) 0 (b) -7015 (c) -48 b What is the third smallest value in 1/6, -20865, 122? 1
{ "pile_set_name": "DM Mathematics" }
uu when two letters picked without replacement from {u: 4, d: 2}. 2/5 Two letters picked without replacement from {a: 8, c: 6, j: 3}. Give prob of sequence ja. 3/34 Calculate prob of sequence kk when two letters picked without replacement from {k: 19, s: 1}. 9/10 Three letters picked without replacement from {d: 2, x: 1, n: 4, a: 8}. Give prob of sequence aan. 16/195 What is prob of sequence xqy when three letters picked without replacement from {r: 1, x: 2, a: 2, u: 1, q: 3, y: 9}? 3/272 Two letters picked without replacement from ttttooro. Give prob of sequence tt. 3/14 Three letters picked without replacement from {x: 1, m: 2, u: 2, n: 2, i: 5, k: 2}. What is prob of sequence ixi? 5/546 Four letters picked without replacement from {a: 8, u: 3}. What is prob of sequence uauu? 1/165 Calculate prob of sequence ooaa when four letters picked without replacement from fbooyaoatbbo. 1/495 What is prob of sequence bxbx when four letters picked without replacement from {b: 5, x: 13}? 13/306 What is prob of sequence ss when two letters picked without replacement from sassssssssss? 5/6 What is prob of sequence xxxx when four letters picked without replacement from lxxjjlxllxx? 1/66 Calculate prob of sequence ooe when three letters picked without replacement from ehfeeghohesggeegseoe. 2/855 Four letters picked without replacement from lswqy. Give prob of sequence swyq. 1/120 Calculate prob of sequence swpp when four letters picked without replacement from wripirpipwppswpiii. 1/816 Three letters picked without replacement from {q: 2, y: 3, v: 2, s: 4}. What is prob of sequence yvq? 2/165 Four letters picked without replacement from dddddmmddmddddddmm. What is prob of sequence ddmd? 143/1224 Three letters picked without replacement from tttqqqtttttqtttttttt. What is prob of sequence ttq? 8/57 Two letters picked without replacement from rjjrrqghjrrjrrg. Give prob of sequence jg. 4/105 Two letters picked without replacement from mlzvqvvlvlz. Give prob of sequence zz. 1/55 Three letters picked without replacement from hhhhhshhhshhhhhhhhh. What is prob of sequence hhs? 16/171 Two letters picked without replacement from {i: 2, x: 4, z: 5, s: 2}. Give prob of sequence si. 1/39 Three letters picked without replacement from vvvvvvvvvvvvvrwvvvvv. What is prob of sequence wrv? 1/380 What is prob of sequence ky when two letters picked without replacement from kyqgq? 1/20 Three letters picked without replacement from {j: 2, p: 1, t: 1}. What is prob of sequence jjt? 1/12 Three letters picked without replacement from mymayqy. Give prob of sequence mmq. 1/105 Two letters picked without replacement from {p: 10}. Give prob of sequence pp. 1 What is prob of sequence vpj when three letters picked without replacement from ppppvvjvvvpppv? 1/52 Four letters picked without replacement from {v: 12, n: 3}. Give prob of sequence nnvv. 11/455 Calculate prob of sequence pccc when four letters picked without replacement from pppcppppppcppcpccpp. 35/3876 What is prob of sequence eyh when three letters picked without replacement from yheeyyyyeyyeyheyyeey? 77/3420 Calculate prob of sequence lftf when four letters picked without replacement from {l: 1, p: 1, t: 1, w: 1, f: 2, x: 1}. 1/420 Calculate prob of sequence ef when two letters picked without replacement from eqqfezqqzeqqfeqjzz. 4/153 Four letters picked without replacement from xxvvqvxqqvqxvvvvx. What is prob of sequence xqvv? 1/51 Calculate prob of sequence hs when two letters picked without replacement from {s: 6, h: 5, r: 3, c: 3}. 15/136 Four letters picked without replacement from {i: 2, z: 2, s: 3, q: 5}. What is prob of sequence ssqs? 1/396 Four letters picked without replacement from kukkdpsdds. Give prob of sequence pdds. 1/420 Three letters picked without replacement from {s: 4, j: 11, f: 2, c: 2}. Give prob of sequence jjf. 110/2907 Calculate prob of sequence gm when two letters picked without replacement from ggkgmkgekgmmkkgmke. 4/51 Three letters picked without replacement from eggjxvv. What is prob of sequence exg? 1/105 What is prob of sequence qckw when four letters picked without replacement from qwwcwqcqwkc? 1/220 Three letters picked without replacement from {x: 6, s: 1, i: 1, z: 1, k: 3}. What is prob of sequence xik? 3/220 Calculate prob of sequence yyqq when four letters picked without replacement from {d: 1, l: 2, y: 4, j: 2, s: 1, q: 5}. 2/273 Calculate prob of sequence dk when two letters picked without replacement from krrndnn. 1/42 Two letters picked without replacement from qbrcabr. Give prob of sequence bb. 1/21 Three letters picked without replacement from {i: 1, y: 1, l: 6, d: 3, m: 2, g: 2}. What is prob of sequence dym? 1/455 Two letters picked without replacement from {w: 2, v: 1}. What is prob of sequence ww? 1/3 What is prob of sequence lk when two letters picked without replacement from {l: 6, y: 2, k: 4, j: 1, h: 3, n: 2}? 4/51 What is prob of sequence zzcv when four letters picked without replacement from dsdsyccczvcssvzcsvvv? 5/11628 Two letters picked without replacement from ttttttttt. What is prob of sequence tt? 1 Three letters picked without replacement from {d: 2, x: 3, i: 6, r: 2}. Give prob of sequence idd. 1/143 Two letters picked without replacement from jriiwwrjrr. What is prob of sequence rr? 2/15 Four letters picked without replacement from ocmckookmo. Give prob of sequence mcmc. 1/1260 Two letters picked without replacement from {u: 1, y: 4, r: 2}. What is prob of sequence ru? 1/21 Four letters picked without replacement from {f: 4}. Give prob of sequence ffff. 1 Four letters picked without replacement from {z: 2, g: 2, u: 2, w: 6, l: 1, f: 4}. What is prob of sequence zfwg? 1/595 Four letters picked without replacement from {h: 1, m: 2, a: 1, d: 1}. Give prob of sequence dmah. 1/60 Calculate prob of sequence jod when three letters picked without replacement from doejy. 1/60 Two letters picked without replacement from wbbb. Give prob of sequence bb. 1/2 Four letters picked without replacement from lpbpbpbiipe. What is prob of sequence piip? 1/330 What is prob of sequence euon when four letters picked without replacement from ueeoanennwo? 1/440 Two letters picked without replacement from {t: 1, w: 2}. Give prob of sequence tt. 0 What is prob of sequence fq when two letters picked without replacement from {q: 2, f: 3, y: 1, b: 4}? 1/15 What is prob of sequence dooa when four letters picked without replacement from {k: 4, o: 2, d: 1, f: 1, a: 1}? 1/1512 Three letters picked without replacement from {z: 3, a: 3, l: 3, u: 3}. Give prob of sequence zau. 9/440 What is prob of sequence ugu when three letters picked without replacement from {u: 2, g: 10}? 1/66 Three letters picked without replacement from {a: 8, e: 5}. Give prob of sequence aaa. 28/143 What is prob of sequence oo when two letters picked without replacement from ooooolelqlqlgoooo? 9/34 What is prob of sequence foq when three letters picked without replacement from fohqgih? 1/210 What is prob of sequence nnn when three letters picked without replacement from eeneeenneeeneunuen? 5/204 What is prob of sequence rtt when three letters picked without replacement from {r: 1, z: 1, u: 4, t: 4}? 1/60 Calculate prob of sequence tl when two letters picked without replacement from vbtlttvtvbvvbtvst. 3/136 Calculate prob of sequence jc when two letters picked without replacement from {j: 4, i: 5, c: 3}. 1/11 Two letters picked without replacement from otyoylpplcyy. What is prob of sequence ol? 1/33 What is prob of sequence llll when four letters picked without replacement from lllvvlllvllvvvllllv? 165/1292 Calculate prob of sequence mz when two letters picked without replacement from {z: 2, i: 4, m: 5}. 1/11 Calculate prob of sequence mmmm when four letters picked without replacement from {m: 9}. 1 Calculate prob of sequence hjj when three letters picked without replacement from hjjfxx. 1/60 Calculate prob of sequence qzwz when four letters picked without replacement from {z: 1, w: 5, e: 4, q: 1}. 0 Two letters picked without replacement from {p: 3, h: 1, a: 1}. What is prob of sequence ap? 3/20 Four letters picked without replacement from ffkkkkf. What is prob of sequence fffk? 1/35 Two letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
+ 2*k**m wrt k? 96*k**2 Let r = 479 - 479. Let d(w) be the first derivative of -8 + r*w - 5/3*w**3 + 3/2*w**2. Find the second derivative of d(p) wrt p. -10 Let a(q) be the second derivative of 41*q**4/4 + 9*q**3/2 - q**2/2 + 90*q + 1. What is the second derivative of a(h) wrt h? 246 Find the first derivative of 378*r**3 + 5 + 76 + 81 + 47 wrt r. 1134*r**2 Suppose -5*y + 5*n - 145 = 0, -2*y + 4*n + 35 - 89 = 0. Let b = -27 - y. What is the third derivative of b*f**2 - 13*f**5 + 2*f**2 + 3*f**2 + 8*f**5 wrt f? -300*f**2 Find the second derivative of 194*z + z - 18*z**3 - 32*z**3 + 8*z**3 - 22*z**3 wrt z. -384*z Let h(m) be the first derivative of 5*m**4/6 + 4*m**3/3 - 6*m + 6. Let o(q) be the first derivative of h(q). What is the second derivative of o(n) wrt n? 20 What is the derivative of -6*l**4 - 18*l**2 + l**2 + 230 - 8*l**2 + 5*l**4 wrt l? -4*l**3 - 50*l Let q(s) = s - 7. Let u be q(4). Let f be (-130)/(-15) + 2/u. Differentiate -4 + y - 2 + f wrt y. 1 Let x be ((-704)/12)/(8/(-36)). Suppose x = 4*n - l, 2*n - 5*l = 7*n - 355. Differentiate 2*r**3 + n*r - 2 - 67*r + 12 with respect to r. 6*r**2 What is the second derivative of -33*w + 392*w**4 - 42*w - 411*w**4 + 0*w**3 + 2*w**3 wrt w? -228*w**2 + 12*w Let p be 59/(-5) - (-4)/(-20). Let m = p - -17. Find the third derivative of 2*n**2 - 12*n**m - 4*n**2 + 6*n**5 wrt n. -360*n**2 Let z(f) = f**2 + 8*f. Let j(a) be the third derivative of -a**5/60 - a**4/24 - 5*a**2. Let k(d) = -2*j(d) + z(d). What is the second derivative of k(g) wrt g? 6 Suppose s = -4*s + 10. Find the second derivative of 0*u**s + 6*u - 27*u**4 + 0*u**2 + 38*u**4 wrt u. 132*u**2 Let u(t) = -29*t**3 + 4*t**2 + 2*t - 11. Let r(x) = 60*x**3 - 9*x**2 - 4*x + 21. Let j(a) = -6*r(a) - 13*u(a). What is the second derivative of j(i) wrt i? 102*i + 4 Let g(k) = -31*k + 22. Let q(y) = -156*y + 110. Suppose 4*f - 17*f - 143 = 0. Let h(v) = f*g(v) + 2*q(v). Differentiate h(l) with respect to l. 29 Let z(n) be the third derivative of -79*n**5/30 - 47*n**3/3 - 49*n**2. What is the first derivative of z(w) wrt w? -316*w Let p(h) be the third derivative of 1/24*h**4 + 0 + 0*h**5 - 1/2*h**3 - 19*h**2 + 17/105*h**7 + 0*h**6 + h. Find the second derivative of p(l) wrt l. 408*l**2 Let p(w) = 2*w**3 - w + 1. Let o(v) = 87*v**4 + 3*v**3 - 539*v**2 - 2*v + 2. Let z(j) = o(j) - 2*p(j). What is the third derivative of z(g) wrt g? 2088*g - 6 Let r(c) = -c**4 + c**3 + 1. Let t(g) = -28*g**4 + 5*g**3 + 411*g + 3. Let y(n) = -3*r(n) + t(n). What is the second derivative of y(f) wrt f? -300*f**2 + 12*f What is the second derivative of 3411*s**3 - 2*s - 3411*s**3 - 58 + 122*s**4 wrt s? 1464*s**2 Find the first derivative of 55 + 253*x + 202*x - 508*x wrt x. -53 Let r(h) = 4*h + 2. Let i(g) = -g**3 + g**2 + 2*g + 1. Let z be i(2). Let q be r(z). Find the third derivative of q*p + 4*p**5 + 3*p + 2*p**2 - 9*p wrt p. 240*p**2 Let k(o) be the first derivative of 5/2*o**2 + 0*o**3 + 7 + 0*o**4 + 3/2*o**6 + 0*o + 0*o**5. Find the second derivative of k(i) wrt i. 180*i**3 Let s(r) = 137*r**3 + 74*r**2 + 2*r. Let d(a) = 137*a**3 + 74*a**2 + 2*a. Let h(c) = 4*d(c) - 3*s(c). Find the third derivative of h(m) wrt m. 822 What is the second derivative of -38*f**5 + 63*f + f**4 + 248*f**5 + 0*f**4 + 89*f wrt f? 4200*f**3 + 12*f**2 Let b(o) be the third derivative of -54*o**7/35 - 113*o**5/60 + o**4/24 + 25*o**2 + 3*o. What is the third derivative of b(i) wrt i? -7776*i Suppose 5*n - n = 24. Find the second derivative of h**3 - h**3 - 18*h - 2*h**3 + n*h**3 wrt h. 24*h Let q(b) be the third derivative of -b**5/60 - b**4/8 - b**3/6 + 7*b**2. Let r be q(-2). Differentiate l**2 - r - 7 + 0 with respect to l. 2*l Find the third derivative of 38*k + 16*k**2 - 14*k**2 + 99*k**3 - 38*k wrt k. 594 Let b = 12 - 7. What is the second derivative of -b*q - 25*q**2 + 4*q**2 + 8*q**2 wrt q? -26 Let y(l) be the third derivative of 0*l**5 + 0 - 11/12*l**4 + 0*l**6 - 6*l**2 + 0*l**7 - 1/21*l**8 + 0*l**3 + 0*l. What is the second derivative of y(i) wrt i? -320*i**3 Suppose 4*h = 3*o + o + 32, o = -4. Find the second derivative of -580*y**3 - 3*y**4 + 580*y**3 - h*y wrt y. -36*y**2 Let m(w) be the second derivative of -19*w**5/5 + 3*w**3/2 - 3*w**2/2 - 21*w + 1. What is the second derivative of m(k) wrt k? -456*k Suppose -1 + 4 = k. Find the third derivative of q**2 + 6*q**k - 5 + 5 wrt q. 36 What is the second derivative of -3*y + 7*y**2 + 20*y**2 + 7*y + 2*y**3 + y**3 - 3 + 5*y wrt y? 18*y + 54 Find the third derivative of -12 + i**2 + 14*i**4 - 6*i**3 + 5*i**3 + 12 wrt i. 336*i - 6 Let q = -2 + 7. Suppose -q*x + y = -0*y - 1093, -4*y - 211 = -x. What is the third derivative of -4*c**4 + x + 6*c**2 - 219 wrt c? -96*c Let q(r) = -7*r**2 + 4*r + 3. Let b(t) = 7*t**2 - 5*t - 2. Suppose 0 = w - 3*f - 19, -f - 4*f - 25 = 0. Let j(z) = w*b(z) + 5*q(z). Differentiate j(p) wrt p. -14*p Find the second derivative of -4*p + 535*p**5 - 46*p**5 - p - 64*p**5 + 7*p wrt p. 8500*p**3 Let q(m) be the second derivative of -m**7/42 + 11*m**5/20 + m**4/6 - 139*m**2/2 + 5*m + 3. What is the third derivative of q(p) wrt p? -60*p**2 + 66 Find the third derivative of -k**3 + 2*k**3 - 879*k**2 - k**3 + 1 + 645*k**2 - 287*k**5 wrt k. -17220*k**2 Find the third derivative of -77*b**4 + 25*b + 8*b**4 - 2*b**2 + 3*b**2 wrt b. -1656*b Let f(u) be the first derivative of -80*u**6 - 353*u**2 - 184. Find the second derivative of f(a) wrt a. -9600*a**3 Let x = 25 - 22. Let g(r) = 3 + 3*r - r**2 + 0 + 2 - 3. Let d(v) = 2*v**2 - 3*v - 3. Let p(m) = x*g(m) + 2*d(m). Find the second derivative of p(o) wrt o. 2 What is the derivative of -218 - 314 - 8*f**2 + 433 + 2*f wrt f? -16*f + 2 Let z(d) = -3*d - 3. Let t(m) = 1. Let v(r) = -15*t(r) - z(r). Let a be v(14). Find the second derivative of w + a*w**5 - 12*w**5 - 13*w**5 wrt w. 100*w**3 Suppose 5*p - 5*z = -4*z + 64, -3*p = 5*z - 44. Differentiate -8 - p*g + 10*g**2 + 13*g with respect to g. 20*g Let f(v) = 3*v**5 - 58*v**3 + 218*v**2 + 2. Let a(t) = -6*t**5 + 116*t**3 - 435*t**2 - 5. Let g(r) = 2*a(r) + 5*f(r). Find the third derivative of g(y) wrt y. 180*y**2 - 348 Let u = -233 + 233. Let f(s) be the second derivative of u*s**5 + 0*s**2 + 3*s + 0*s**4 - s**3 + 1/15*s**6 + 0. Find the second derivative of f(p) wrt p. 24*p**2 What is the second derivative of -20 - 5*r**2 + 5*r**2 + r**5 - 145*r**5 - 1 + 2*r wrt r? -2880*r**3 Let b be -9 - (2 + -1) - -3. Let u be (-6)/(b/(14/4)). Find the third derivative of 7*n**3 - u*n**6 + 0*n**2 - 7*n**3 - 5*n**2 wrt n. -360*n**3 Let h(q) be the third derivative of -181*q**5/60 - 137*q**4/12 - 79*q**2. Find the second derivative of h(u) wrt u. -362 Let i(h) = -16*h**2 - 181*h - 4. Let b(p) = -31*p**2 - 362*p - 10. Let q(s) = 2*b(s) - 5*i(s). What is the second derivative of q(g) wrt g? 36 What is the second derivative of -285*h**2 + 981 - 32*h - 981 wrt h? -570 What is the third derivative of 29*w**3 - 30*w**2 - 121*w**3 + 1 - 224*w**3 - 3 + 150*w**2 wrt w? -1896 Let k(o) = o**2 - 4*o. Let i be k(4). Suppose i = 5*x - 4*j - 25, -4*x + 5*j = x - 25. Find the second derivative of -7*g**5 + 3*g**5 + 10*g**5 + x*g wrt g. 120*g**3 Suppose -4*z - 14 = -5*o, 0 = -4*o - 3*z - 5 + 10. Let c(g) be the first derivative of 2/3*g**3 + 1 - 7/2*g**o + 0*g. Find the second derivative of c(s) wrt s. 4 Let l(d) be the second derivative of 101*d**3/2 + 166*d**2 + 370*d. Find the first derivative of l(a) wrt a. 303 Let a be ((-8)/5)/((-4)/30). Differentiate 11*n**4 + 14*n**4 - 13 - a wrt n. 100*n**3 Let b(x) be the second derivative of 7*x + 0*x**2 + 0*x**4 + 0 - 7/3*x**3 - 2/5*x**5. What is the second derivative of b(f) wrt f? -48*f Find the second derivative of 3*n**3 - 219*n + 49*n**4 + 378*n - 5*n**4 + 105*n + 453*n wrt n. 528*n**2 + 18*n Find the second derivative of -120*m - 870*m**4 + 28*m**2 - 694*m - 28*m**2 wrt m. -10440*m**2 Let v(m) be the second derivative of -17*m**6/15 + 25*m**4/12 + m**2/2 + 24*m + 3. What is the third derivative of v(f) wrt f? -816*f Let u(m) = -25*m**3 - 5*m**2 + 6*m - 57. Let r(n) = n**3 - n**2 + 2*n. Let f(p) = 4*r(p) - u(p). Find the second derivative of f(b) wrt b. 174*b + 2 Let h(y) = -28*y + 2. Let r be h(-1). Find the second derivative of -9*o**5 + 32*o**5 - r*o + 7*o**5 + 3*o wrt o. 600*o**3 Let w(m) = 6*m
{ "pile_set_name": "DM Mathematics" }
at are the prime factors of 222936089? 222936089 List the prime factors of 361200666. 2, 3, 17, 367, 9649 What are the prime factors of 178553808? 2, 3, 311, 443 What are the prime factors of 177852039? 3, 5179, 11447 What are the prime factors of 231174560? 2, 5, 613, 2357 What are the prime factors of 3113440527? 3, 2437, 425857 List the prime factors of 747178316. 2, 186794579 What are the prime factors of 5993669417? 881, 6803257 What are the prime factors of 441831589? 59, 7488671 List the prime factors of 1229348901. 3, 11, 89, 641, 653 What are the prime factors of 1111157267? 11, 101014297 What are the prime factors of 45073368? 2, 3, 208673 List the prime factors of 393233853. 3, 31, 853, 4957 List the prime factors of 319466293. 319466293 List the prime factors of 581083667. 71, 103, 181, 439 List the prime factors of 62037464. 2, 7754683 List the prime factors of 49815673. 5281, 9433 List the prime factors of 28755724. 2, 31, 231901 List the prime factors of 37750654. 2, 97, 194591 List the prime factors of 7771031627. 103, 75446909 What are the prime factors of 278138233? 43, 641, 10091 What are the prime factors of 47187635? 5, 11, 857957 What are the prime factors of 591929946? 2, 3, 32884997 What are the prime factors of 31558390? 2, 5, 3155839 What are the prime factors of 30613160? 2, 5, 765329 List the prime factors of 36687442. 2, 11, 19, 79, 101 List the prime factors of 61984785. 3, 5, 1181, 3499 List the prime factors of 2240535236. 2, 5237, 106957 List the prime factors of 1177221193. 37, 31816789 List the prime factors of 765944827. 23, 33301949 List the prime factors of 2912868430. 2, 5, 541, 538423 List the prime factors of 829538957. 13, 101, 631789 List the prime factors of 344833068. 2, 3, 311, 92399 List the prime factors of 5125464006. 2, 3, 13, 65711077 What are the prime factors of 96454313? 9187, 10499 List the prime factors of 97106073. 3, 283, 114377 List the prime factors of 29033858. 2, 7, 17, 43, 2837 What are the prime factors of 71935469? 31, 53, 43783 List the prime factors of 3531379. 79, 44701 What are the prime factors of 171632802? 2, 3, 11, 31, 149, 563 List the prime factors of 854463. 3, 271, 1051 What are the prime factors of 45138809? 1663, 27143 What are the prime factors of 2332604420? 2, 5, 307, 379903 What are the prime factors of 1385765237? 22861, 60617 What are the prime factors of 388833245? 5, 1129, 68881 List the prime factors of 2168143986. 2, 3, 67, 5393393 List the prime factors of 79926410. 2, 5, 2371, 3371 List the prime factors of 185460975. 3, 5, 7, 39251 List the prime factors of 10358967. 3, 17, 203117 List the prime factors of 53831163. 3, 17, 29, 2141 What are the prime factors of 7551241949? 7551241949 What are the prime factors of 1773025623? 3, 67, 103, 28547 List the prime factors of 1198732895. 5, 19, 83, 152027 List the prime factors of 304404640. 2, 5, 61, 31189 List the prime factors of 5326742. 2, 37, 71983 List the prime factors of 13692508. 2, 1709, 2003 What are the prime factors of 2011111242? 2, 3, 7, 47883601 List the prime factors of 111350009. 5717, 19477 What are the prime factors of 2782770214? 2, 7, 1021, 194681 What are the prime factors of 23491843? 173, 251, 541 List the prime factors of 6428656. 2, 13, 31, 997 List the prime factors of 69186687. 3, 23062229 List the prime factors of 29077674. 2, 3, 4846279 List the prime factors of 105908402. 2, 17, 3114953 What are the prime factors of 1434111698? 2, 1201, 597049 What are the prime factors of 68005361? 68005361 List the prime factors of 114880412. 2, 37, 776219 What are the prime factors of 3127873662? 2, 3, 37, 4696507 What are the prime factors of 50623956? 2, 3, 1406221 What are the prime factors of 142758167? 131, 1089757 List the prime factors of 1336579971. 3, 37, 12041261 What are the prime factors of 2411890? 2, 5, 13, 18553 What are the prime factors of 57118108? 2, 23, 620849 What are the prime factors of 46675442? 2, 11, 29, 149, 491 What are the prime factors of 639424010? 2, 5, 37, 263, 6571 List the prime factors of 190600880. 2, 5, 2382511 What are the prime factors of 93068526? 2, 3, 15511421 What are the prime factors of 27192462? 2, 3, 11, 412007 What are the prime factors of 601088003? 23, 41, 637421 List the prime factors of 114182294. 2, 41, 659, 2113 What are the prime factors of 25775850? 2, 3, 5, 227, 757 What are the prime factors of 70401557? 70401557 What are the prime factors of 3813515266? 2, 11, 173341603 List the prime factors of 2991050492. 2, 3187, 234629 What are the prime factors of 66616256? 2, 7, 241, 617 What are the prime factors of 86839984? 2, 7, 11, 70487 What are the prime factors of 2894620827? 3, 7, 353, 390479 List the prime factors of 1467120023. 1467120023 What are the prime factors of 337950514? 2, 11, 17, 29, 31159 List the prime factors of 1221560045. 5, 263, 521, 1783 List the prime factors of 514529716. 2, 29, 67, 239, 277 What are the prime factors of 249155682? 2, 3, 479, 86693 What are the prime factors of 570683307? 3, 2237, 85037 What are the prime factors of 1139776257? 3, 18041, 21059 List the prime factors of 714311679. 3, 10223, 23291 List the prime factors of 711262172. 2, 177815543 What are the prime factors of 86508601? 71, 131 List the prime factors of 664774685. 5, 29, 4584653 List the prime factors of 957600295. 5, 191520059 What are the prime factors of 27005911? 17, 193, 8231 List the prime factors of 1464391101. 3, 17, 43, 263, 2539 List the prime factors of 1481888541. 3, 7, 229, 308149 List the prime factors of 489550396. 2, 71, 1723769 What are the prime factors of 1271003597? 1271003597 List the prime factors of 222348506. 2, 509, 218417 List the prime factors of 2968157878. 2, 7, 212011277 What are the prime factors of 55210864? 2, 3450679 What are the prime factors of 40035240? 2, 3, 5, 7, 15887 What are the prime factors of 1067726774? 2, 19, 83, 338531 List the prime factors of 1704611821. 11, 463, 30427 What are the prime factors of 160086079? 160086079 What are the prime factors of 560694694? 2, 7, 137, 241, 1213 What are the prime factors of 2208660162? 2, 3, 17, 31, 59, 11839 List the prime factors of 661157623. 7, 94451089 List the prime factors of 336238513. 13, 109, 18253 What are the prime factors of 548391153? 3, 1217, 150203 What are the prime factors of 21044283? 3, 13, 17, 31741 What are the prime factors of 179528962? 2, 4289, 20929 List the prime factors of 307129787. 23, 1109, 12041 What are the prime factors of 11217407? 11217407 List the prime factors of 57554275. 5, 83, 27737 What are the prime factors of 111532840? 2, 5, 29, 96149 List the prime factors of 158650550. 2, 5, 23, 137957 What are the prime factors of 1407535933? 67, 21007999 List the prime factors of 439055204. 2, 7, 15680543 What are the prime factors of 402691009? 7, 463, 124249 What are the prime factors of 3041848452? 2, 3, 253487371 What are the prime factors of 55523793? 3, 13, 43, 113, 293 List the prime factors of 109491159. 3, 71, 331, 1553 List the prime factors of 90755516. 2, 23, 79, 12487 List the prime factors of 278544287. 7, 39792041 What are the prime factors of 1069744053? 3, 7, 23, 2214791 List the prime factors of 28807166. 2, 167, 86249 What are the prime factors of 33893759? 67, 505877 List the prime factors of 7785008. 2, 7, 11, 71, 89 What are the prime factors of 497969343? 3, 23, 801883 List the prime factors of 230471973. 3, 47, 60539 What are the prime factors of 12702774? 2, 3, 7, 17, 17791 List the prime factors of 1407082439. 7, 201011777 What are the prime factors of 122834765? 5, 24566953 List the prime factors of 1104809466. 2, 3, 184134911 List the prime factors of 6054036528. 2, 3, 269, 468869 What are the prime factors of 2660409013? 19, 191, 733097 List the prime factors of 46581143. 7, 167, 39847 List the prime factors of 35620113. 3, 2179, 5449 What are the prime factors of 420366222? 2, 3, 19, 1229141 List the prime factors of 182955228. 2, 3, 73, 2861 What are the prime factors of 22344748? 2, 397, 14071 What are the prime factors of 90079280? 2, 5, 1125991 What are the prime factors of 634530977? 22133, 28669 What are the prime factors of 94796005? 5, 71, 3761 What are the prime factors of 19
{ "pile_set_name": "DM Mathematics" }
. Let q be (-44)/5*(-45)/(-18). Give h*g(j) + q*r(j). 2*j**2 Let z(r) = 26*r**3 - 8*r**2 - 8*r - 12. Let c(h) = 17*h**3 - 5*h**2 - 5*h - 8. Give 8*c(k) - 5*z(k). 6*k**3 - 4 Let o(w) = -2*w**3 - 19*w - 7. Let m(j) = -j**3 - 10*j - 4. Determine 7*m(p) - 4*o(p). p**3 + 6*p Let z(r) = -9*r + 8. Suppose 2*d - d + 29 = -h, 0 = -4*d - 20. Suppose 4*g = y + 8, -g - 5*y + y = -19. Let u(f) = -f + 1. Determine g*z(m) + h*u(m). -3*m Suppose 4*o = -6 + 2. Let r(q) = 2*q**3 + 6*q**2 - 4. Let s(g) = g**3 + g**2 - 1. What is o*r(a) + 4*s(a)? 2*a**3 - 2*a**2 Let r(v) = v**2 - 4*v - 27. Let c be r(7). Let x(t) = 4*t**2 - 4*t. Let g(a) = -9*a**2 + 9*a. Calculate c*g(i) - 14*x(i). -2*i**2 + 2*i Let w(g) = g**2 - g + 1. Let y(p) = -2*p**3 - 4*p**2 + 2*p - 4. Let k = -1 + 5. Let d = 3 - 2. Calculate d*y(q) + k*w(q). -2*q**3 - 2*q Let f(p) = 9*p**2 + p + 4. Let g(z) = -18*z**2 - 2*z - 9. Give 5*f(r) + 2*g(r). 9*r**2 + r + 2 Let z(g) = -23*g**3 + 62*g**3 - 21*g**3 - 23*g**3 - 4. Let y(j) = 20*j**3 + 15. Calculate 4*y(d) + 15*z(d). 5*d**3 Let y(x) = 7*x + 7. Let s be 4/14 + 114/42. Let m(d) = -s*d - d + 4 + 8*d. Calculate -5*m(f) + 3*y(f). f + 1 Let m(g) = 2*g**2 - 7*g - 2. Let q(p) = -3*p + 15. Let t be q(7). Let w(j) = j. Give t*w(y) - m(y). -2*y**2 + y + 2 Let w(d) = -2*d**3 - 6*d**2 + 5*d + 10. Let r(b) = -b**2 + b + 1. Give 6*r(f) - w(f). 2*f**3 + f - 4 Let f(j) = -3*j + 4. Let r(z) = z - 1. Determine f(d) + 2*r(d). -d + 2 Let a(y) be the second derivative of y**2/2 + y. Suppose -8 = -6*l - 14. Let d(p) = 2*p + 7. Determine l*d(o) + 5*a(o). -2*o - 2 Let g(t) = t**3 + t**2 + 3*t + 3. Let f(o) = o**3 + o**2 + 4*o + 4. Let s be 10/20 - 9/2. Calculate s*g(a) + 3*f(a). -a**3 - a**2 Suppose 0 = -2*w - 12 + 2. Let z(i) = -2*i**3 - 6*i**2 + 7. Let s(q) = -2*q**3 - 7*q**2 + 8. What is w*z(g) + 4*s(g)? 2*g**3 + 2*g**2 - 3 Let x(m) = 5*m**3 - 9*m**2 + 9*m. Let t = 4 - 6. Let g(u) = u**3 - 2*u**2 + 2*u. Let n(r) = -r**2 + 6*r + 4. Let a be n(5). Determine a*g(d) + t*x(d). -d**3 Let g(k) = 4*k - 7. Let s = 17 - 10. Let x(q) = -3*q + 5. Calculate s*x(r) + 5*g(r). -r Let o(w) = w**2 - w + 1. Suppose 3*h - 24 = 5*u, h - 3*u + 8*u = -12. Let k(r) = 2*r**2 - 5*r + 6. Determine h*o(l) - k(l). l**2 + 2*l - 3 Let x(s) = -58*s**2 - 7. Let k(b) = -19*b**2 - 2. What is -7*k(i) + 2*x(i)? 17*i**2 Let k(g) = 2*g**3 + 3*g**2 + 2*g - 3. Let l(b) = -3*b**3 - 5*b**2 - 4*b + 5. Give 5*k(y) + 3*l(y). y**3 - 2*y Let z(p) = -p**3 - 4*p**2 - 4*p. Let c be (-2)/(4/(-12)*2). Let b(f) = f**3 + 5*f**2 + 5*f. Give c*b(x) + 4*z(x). -x**3 - x**2 - x Let f(l) = l**2 - 9*l - 2. Let g(i) = -2*i**2 + 26*i + 6. Give -8*f(z) - 3*g(z). -2*z**2 - 6*z - 2 Let j(h) = 2*h**3 + 25*h**2 + 6*h + 4. Let o(b) = 4*b**3 + 49*b**2 + 13*b + 9. Give 9*j(c) - 4*o(c). 2*c**3 + 29*c**2 + 2*c Let l(u) = u**2 - u. Let i(j) = -j**2 - 4*j - 3. Let w be i(-2). Let p(t) = t - 6. Let g be p(0). Let f(m) = 4*m**2 - 6*m. Determine g*l(h) + w*f(h). -2*h**2 Let r = 8 - 6. Let b(d) = 3*d**2 + 2. Let h(o) = -4*o**2 - 3. Calculate r*h(n) + 3*b(n). n**2 Let n be (-3)/3 + (-16)/(-4). Let w(m) = -7*m**2. Let q(f) = -8*f**2. What is n*q(o) - 4*w(o)? 4*o**2 Let h(c) = -4*c + 22. Let d(f) = -f + 7. Determine 7*d(u) - 2*h(u). u + 5 Let j(r) = r**2 + 16*r + 10. Let q(m) be the second derivative of -m**4/12 - 11*m**3/6 - 7*m**2/2 - 5*m + 7. Give 5*j(f) + 7*q(f). -2*f**2 + 3*f + 1 Let b(n) = 4*n**3 - 3*n**2 + 3*n. Let w(g) = 2*g**3 - g**2 + g. Determine 2*b(l) - 5*w(l). -2*l**3 - l**2 + l Let d(h) = -5*h. Let w(j) = j**2 + 6*j. Give 6*d(k) + 5*w(k). 5*k**2 Let o(q) = 3*q**2 + 10*q - 15. Let n(l) = -l**2 - 5*l + 7. Let x(g) = 9*n(g) + 4*o(g). Let a(j) = 7*j**2 - 11*j + 7. What is -4*a(z) + 9*x(z)? -z**2 - z - 1 Let d(j) = j**2 - 3*j + 6. Let o(i) = -1. Suppose 7*c = 2*c + 4*s - 25, c - 2*s = -11. Calculate c*d(a) - 6*o(a). -a**2 + 3*a Let l(b) = 18*b**2 + 5*b - 7. Let u(a) = a - 1. What is -l(t) + 5*u(t)? -18*t**2 + 2 Let i(s) = -5*s**2 - 13*s. Let j(q) = 14*q**2 + 39*q. Give 8*i(w) + 3*j(w). 2*w**2 + 13*w Let t(p) = p**3 + p**2. Let h(w) = -8*w**3 - 7*w**2. Let k be -1 - (0 - (3 - -9)). Let s = -32 + k. What is s*t(f) - 3*h(f)? 3*f**3 Let h(i) = 7*i**2 + 6. Suppose -3*c - 2*f = 4 - 1, 3*c = 4*f + 15. Let j(l) = l**2 + 1. Let u be 3/(6/4 + -2). Determine c*h(b) + u*j(b). b**2 Let f(b) = 6*b - 1. Suppose 0 = 5*o, 0 = 2*v - 49*o + 50*o - 8. Let h(c) be the first derivative of -c**2/2 - 1. Give v*h(u) + f(u). 2*u - 1 Let p(z) = -5*z**2 - 5. Let n(s) = 4*s**2 + 5. Calculate -7*n(r) - 6*p(r). 2*r**2 - 5 Let p(a) = a**2 - a. Let h(c) = -2*c**2 + 2*c + 4. Let b(l) = -h(l) - p(l). Let k = 6 + -3. Let u(d) = 6 + 3*d**2 - k - 4*d**2. Determine -2*b(w) - 3*u(w). w**2 + 2*w - 1 Let n(h) = 3*h**3 - 3*h - 3. Let o(b) = b - 1. Determine -n(v) - o(v). -3*v**3 + 2*v + 4 Let i(t) = t + 4. Let j(l) = 13. Let c(v) = -2. Let x(w) = 6*c(w) + j(w). What is -i(n) + 5*x(n)? -n + 1 Let g(k) = -k**2 - k - 1. Let z(c) = c**3 - 18*c**2 - 2*c - 5. Calculate 3*g(s) - z(s). -s**3 + 15*s**2 - s + 2 Let b(q) = -12*q**3 + 21*q**2 - 21*q + 21. Let a(h) = -2*h - 18*h**2 + 0*h**3 - 3*h**3 + 23*h**2 + 5 - 3*h. Determine -21*a(x) + 5*b(x). 3*x**3 Let s(b) = -30*b - 21. Let i(r) be the first derivative of -3*r**2/2 - 2*r - 53. Determine 21*i(x) - 2*s(x). -3*x Let o be 7/(-9) + 2/(-9). Let t(d) = -2*d**2 - 2*d - 3. Let a(h) = h + 1. Suppose 0 = -5*s + 2*s - 6. Calculate o*t(c) + s*a(c). 2*c**2 + 1 Let s = -4 + 3. Let p(m) be the third derivative of 5/6*m**3 + 0*m + 0 + 1/8*m**4 + 2*m**2. Let j(g) = -g - 1. Calculate s*p(o) - 4*j(o). o - 1 Let i(g) = 5*g**3 + 4*g**2 - 4. Let a(f) be the first derivative of f**4/4 + f**3/3 - f - 5. Determine 4*a(s) - i(s). -s**3 Let r(m) = -m - 4. Suppose 6 = d + d. Suppose -d*s + 7*h + 33 = 4*h, 44 = 4*s - 2*h. Let x(j) = -6*j - 21. Determine s*r(l) - 2*x(l). l - 2 Let b be 1/(-2*(-2)/12). Let o be (3/(-2))/(b/(-8)). Let v(r) = r. Let u(q) be the third derivative of -q**4/4 - q**3/3 - 4*q**2. Give o*v(y) + u(y). -2*y - 2 Let k(f) = 2*f + 2. Let w(o) = 3*o + 3. Determine -5*k(s) + 3*w(s). -s - 1 Let y(a) = 5*a + 5. Let w(f) = f**3 - f + 3. Let b be w(-2). Let u(z) = -2*z - 2. Determine b*y(x) - 8*u(x). x + 1 Let g(n) = -2*n**3 - 2*n - 2. Let r(k) = -k - 1. Suppose 3*x + 10 = -2*x. Give x*r(w) + g(w). -2*w**3 Let n(z) = -2*z. Let v(y) = 6*y. What is -4*n(d) - 2*v(d)? -4*d Let w(u) = u**3 - u**2 - u - 1. Let q(a) = -5*a**3 + 4*a**2 + 4*a + 4. What is -q(r) - 4*w(r)? r**3 Let p(d) = -2*d**3 + 3*d**2 + 2. Let j = 70 - 72. Let s(i) = 2*i**3 - 2*i**2 - 1. Give j*p(a) - 3*s(a). -2*a**3 - 1 Let p(c) = 7*c**3 - 6*c + 6. Let w(i) = i**3 - i + 1. Let g = 9 + -1. Let f = g + -2. What is f*w(o) - p(o)? -o**3 Let c(i) = -3*i**3 + 6*i - 6. Let d(m) be the first derivative of m**2/2 - m + 7. Calculate c(a) - 6*d(a). -3*a**3 Let v be 0/(-1) + -2 + 8. Let y(m) = -2*m - 2. Let d = 18 + -13. Let f = d + -10. Let k(p) = -2*p - 2. What is f*k(r) + v*y(r)? -2*r - 2 Let a(s) be the second derivative of -s**4/12 + 2*s**3/3 + 2*s**2 + 5*s. Let t(w) = -w**2 + w + 1. Determine -a(b) + 3*t(b). -2*b**2 - b - 1 Let m(n) = -n + 1. Let p(q) = -2*q - 23. Let k be p(-11). Let z(u) = u - 3. Determine k*z(o) - 2*m(o). o + 1 Let g(f) = 3*f**2 + 3*f + 2. Let b(v) = v. Calculate -2*b(y) + g(y). 3*y**2 + y + 2 Let x(o) = 3*o**3 + 12*o - 17. Let v(s) = s**3 + 4*s - 6. Give -17*v(g) + 6*x(g). g**3 + 4*g Let b(p) = -p**2 + 1. Let j(q) = 22*q**2 - 12. What is 12*b(t) + j(t)? 10*t**2 Let u(i) = 4*i**2 + 2*i + 4. Let w(k) = -3*k**2 - 2*k - 4. Give 5*u(m) + 6*w(m). 2*m**2 - 2*m - 4 Let b(u) = 5 - 2*u - 4 + 1. Let z(v) = -v + 1. Let q(t) = t**2 - 5*t - 17. Let f be q(7). Determine f*z(n) + 2*b(n). -n + 1 Let f(g) = 11*g**2 - 13*g - 13. Let a(k) = -5*k**2 + 6*k + 7. What is -13*a(u) - 6*f(u)? -u**2 - 13 Let a(o) = -48*o. Let p(w) = 6*w. What is 4*a(v) + 33*p(v)? 6*v Let p(n) = 4*n**2 - 3. Let v(y) = -8*y**2 + 6. Determine 5*p(z) + 2*v(z). 4*z**2 - 3 Let w(p) = p + 6. Let g(a) = a + 5. What is 2*g(d) - 3*w(d)? -d - 8 Suppose 0 = 3*c + 2*c + 2*m, 4*c - 18 = 2*m. Let b(q) = 2*q**2 + 2. Let f(s) = 1. Calculate c*f(z) - b(z). -2*z**2 Let z(r) = 7*r + 2. Let m(f) = 4*f + 1. Suppose -3*u + 9 = 0, -6 = -2*q - 0*u + 2*u. Give q*z(d) - 11*m(d). -2*d + 1 Let r(o) = 3*o**3 + 2*o**2 + 2*o - 2. Let f(p) be the second de
{ "pile_set_name": "DM Mathematics" }
4*v**2. v**2 Collect the terms in 6*y**3 + 5*y - 3*y**3 - 5*y. 3*y**3 Collect the terms in -12*p**3 + 3*p**3 + 11*p**3. 2*p**3 Collect the terms in 13690*y**2 - 2835*y**2 + 1090*y**2. 11945*y**2 Collect the terms in -3*a**2 + 0*a**2 + 6*a**2 - 7*a**3 - 3*a**2. -7*a**3 Collect the terms in 15*q - 15*q + 2 - 105*q**3. -105*q**3 + 2 Collect the terms in 3*h + 17*h - 18*h. 2*h Collect the terms in -8*y**3 + 6*y**2 - 3*y**2 - 15*y**3 - 3*y**2. -23*y**3 Collect the terms in -60*n**2 + 35*n**2 - n**3 + 3 - 3. -n**3 - 25*n**2 Collect the terms in 2 + 1010*n**3 - 1008*n**3 - 2. 2*n**3 Collect the terms in 0*v**2 - 2*v**2 - 7*v + 4*v. -2*v**2 - 3*v Collect the terms in 4 - 31*n**2 - 4. -31*n**2 Collect the terms in 4*h**2 - 76*h**2 + 8*h**2. -64*h**2 Collect the terms in -231*s**3 + 230*s**3 - s + s. -s**3 Collect the terms in -16*l**2 - 44*l**2 + 63*l**2 - 21*l**2 - 15*l**2. -33*l**2 Collect the terms in -121*n + 43*n + 34*n + 43*n. -n Collect the terms in -28*u**2 - 23*u**2 + 20*u**2. -31*u**2 Collect the terms in -33*q**2 - 36*q**2 - 25*q**2. -94*q**2 Collect the terms in -24*f**3 - 345 - 355 + 700. -24*f**3 Collect the terms in 11*b + 15*b + 7 - 7. 26*b Collect the terms in -5*s**3 - 9*s**3 + 18*s**3. 4*s**3 Collect the terms in 14*m**2 - 10*m**3 - 14*m**2. -10*m**3 Collect the terms in -11*k**2 + 0*k**2 + 3*k**2 + 7*k**2. -k**2 Collect the terms in 31784 + 5*u - 31784. 5*u Collect the terms in 7*r**2 + r - r - 25*r**2. -18*r**2 Collect the terms in -11 + 11 - 6*b**3. -6*b**3 Collect the terms in -354*f**3 + 169*f**3 + 186*f**3. f**3 Collect the terms in -34 + 16 - 24*k + 18. -24*k Collect the terms in 2 - 2*m**3 - 5 + 3. -2*m**3 Collect the terms in -3*m**2 + 19 - 19. -3*m**2 Collect the terms in -2*z + z + 8*z + 3*z. 10*z Collect the terms in -7*n**3 + 6*n**2 - 19*n**2 + 13*n**2. -7*n**3 Collect the terms in 8910 - 8910 - 10*w. -10*w Collect the terms in 785*l**2 + 780*l**2 - 1567*l**2. -2*l**2 Collect the terms in -12*r**2 + 7*r**2 - 10*r**2 - 8*r**2. -23*r**2 Collect the terms in -9*w**2 + 12*w**2 + 2*w**2. 5*w**2 Collect the terms in -7*z + 23*z + 0 + 0 - 7*z. 9*z Collect the terms in -235*z - 1 + 235*z + 27*z**2. 27*z**2 - 1 Collect the terms in -1 - 11 - 9*f**2 + 7*f**2. -2*f**2 - 12 Collect the terms in 48*l - 16*l + 5*l. 37*l Collect the terms in 23*r**2 - 16*r**2 - 11*r**2. -4*r**2 Collect the terms in -7*a + 7*a + 5*a. 5*a Collect the terms in 2 + 3*a - 3*a + 1 + 3*a. 3*a + 3 Collect the terms in -10 + 2 - 15*f - 17*f + 19*f. -13*f - 8 Collect the terms in -4*y - 3*y + y + 95*y**3 + 5*y. 95*y**3 - y Collect the terms in -123*o + 5 + 139*o - 3 - 3. 16*o - 1 Collect the terms in -85*q**2 - 3 + 3 + 82*q**2. -3*q**2 Collect the terms in -26*y**2 + 60*y**2 - 30*y**2. 4*y**2 Collect the terms in t**2 - 7*t**2 + t**2. -5*t**2 Collect the terms in 4 - 2 + 6*z + 2*z - 1. 8*z + 1 Collect the terms in 1341*w - 2687*w + 1343*w. -3*w Collect the terms in -246131*k + 123066*k + 123062*k. -3*k Collect the terms in 0*o + 2*o - 5*o + 8*o. 5*o Collect the terms in -4 + 38*d**2 + 4. 38*d**2 Collect the terms in r**3 + 23*r - 11*r - 12*r. r**3 Collect the terms in -14*b - 40*b - 9*b + 12*b. -51*b Collect the terms in 4*s - 3*s + 8*s. 9*s Collect the terms in 36*x + x**2 - 36*x. x**2 Collect the terms in -881 + 422 + 0*s + 2*s + 459. 2*s Collect the terms in -1 + 22*z**2 + 1. 22*z**2 Collect the terms in 1231*c**2 - 3710*c**2 + 1230*c**2 + 1247*c**2. -2*c**2 Collect the terms in -2 - 7*m - 1 + 3. -7*m Collect the terms in -278*x - 320*x + 599*x. x Collect the terms in 32*q**2 + 15*q**2 - 16*q**2. 31*q**2 Collect the terms in -81*r**2 - 73*r**2 + 160*r**2. 6*r**2 Collect the terms in 174 + 13*x**2 - 6*x**2 - 8*x**2. -x**2 + 174 Collect the terms in -10*b - 5*b - 12*b. -27*b Collect the terms in 106*g**2 - 2*g + 2*g. 106*g**2 Collect the terms in -5*z - 18*z - 7*z. -30*z Collect the terms in -3736*q + q**3 + 3736*q. q**3 Collect the terms in -2*b**3 + 131*b**2 + 2*b**3 - 131*b**2 - 2*b**3. -2*b**3 Collect the terms in -135*r + 67*r + 67*r. -r Collect the terms in -2710*o**2 + 5435*o**2 - 2716*o**2. 9*o**2 Collect the terms in 117*k**2 + 5*k - 5*k. 117*k**2 Collect the terms in 8*h**3 + 54*h + 50*h - 104*h - 5*h**3. 3*h**3 Collect the terms in -2 - 45*l**3 - 5 + 7. -45*l**3 Collect the terms in 202*u - 481*u - 118*u - 661*u. -1058*u Collect the terms in 37*t + 34*t + 53*t - 1 + 41*t. 165*t - 1 Collect the terms in -3228 + 56*r**2 + 3228. 56*r**2 Collect the terms in 3064*n**2 - n**3 - 1530*n**2 - 1534*n**2. -n**3 Collect the terms in -3*a**2 + 9*a**2 - a**2 + 6*a**2. 11*a**2 Collect the terms in 51*o**2 - 108*o**2 + 59*o**2. 2*o**2 Collect the terms in -10*j - j + 5*j + j. -5*j Collect the terms in 3 - 113*s**2 + 70*s**2 - 24*s**2 - 3 + 66*s**2. -s**2 Collect the terms in 34*g**2 - 91*g**2 + 32*g**2 + 30*g**2. 5*g**2 Collect the terms in -10*i**3 - 106*i**3 - i + 21*i**3. -95*i**3 - i Collect the terms in 31 + 8*f - 96 + 28 + 37. 8*f Collect the terms in 0*h**3 - 33*h**3 - 18*h**3. -51*h**3 Collect the terms in 36*a**3 + 15*a**3 - 419*a**3. -368*a**3 Collect the terms in 2*g**3 + 10*g**2 - 10*g**2 + 21*g**3. 23*g**3 Collect the terms in 788*r**2 + 629*r**2 + 1036*r**2 + 1229*r**2. 3682*r**2 Collect the terms in -q**2 - 36733*q + 36733*q. -q**2 Collect the terms in 29 - 15 - 14 - 2*s**2. -2*s**2 Collect the terms in -712456 + 712456 + 3*n. 3*n Collect the terms in 3*t**2 + 9*t**2 - t**2 - t**2. 10*t**2 Collect the terms in -1 - 14*l + 1 + 10*l**2. 10*l**2 - 14*l Collect the terms in -4254*y - 4253*y + 8505*y. -2*y Collect the terms in 2*l**3 + 43 - 43 - 20*l**3. -18*l**3 Collect the terms in -7*y + 5*y - 11*y**2 + 2*y. -11*y**2 Collect the terms in -4*z - 5*z + 0*z + 2*z**3. 2*z**3 - 9*z Collect the terms in -1083 + 5*w + 1083. 5*w Collect the terms in 32*b - 23*b - 9*b - 5*b. -5*b Collect the terms in -37 - 29 + 66 - q**3. -q**3 Collect the terms in -29 - 52 + 41*w**3 + 81. 41*w**3 Collect the terms in 16*c**3 - 34*c**3 - 6*c**3. -24*c**3 Collect the terms in -z**3 - z**3 + 6*z**3. 4*z**3 Collect the terms in 10*j + 9*j**3 + 12*j - 11*j**3 - 22*j. -2*j**3 Collect the terms in 44 + 13*b**2 - 44. 13*b**2 Collect the terms in -4*v - 2*v**2 + 6*v - 6*v + 4*v. -2*v**2 Collect the terms in 1 + 6*o - 6*o + 22*o**3. 22*o**3 + 1 Collect the terms in 252*p + 84*p - 19*p. 317*p Collect the terms in v - 511 + 1024 - 513 - 5*v. -4*v Collect the terms in -2*j + j + 6*j + j**3. j**3 + 5*j Collect the terms in 42 + 180*z**2 - 42. 180*z**2 Collect the terms in 271 + v**3 - 542 + 0*v**3 + 271. v**3 Collect the terms in -7*p + 5*p - 9*p. -11*p Collect the terms in 17784*m - 35562*m + 17780*m. 2*m Collect the terms in -5*w + w + w - w. -4*w Collect the terms in 20*a**2 + 6227*a - 6227*a. 20*a**2 Collect the terms in -4936*c + 9868*c - 4932*c + 4*c**3. 4*c**3 Collect the terms in 1006*d - 1006*d + 96*d**2. 96*d**2 Collect the terms in 33*w**2 - 6*w**2 - 14*w**2 - 5*w**2. 8*w**2 Collect the terms in 22 - 188*u - 22. -188*u Collect the terms in -45 - 96 + d + 141. d Collect the terms in -3*m**2 + m**2 - 2*m**2. -4*m**2 Collect the terms in -55*o + 39*o + 2 + 69*o + 69*o. 122*o + 2 Collect the terms in -96*y + 283*y - 91*y + y**3 - 96*y. y**3 Collect the terms in 2*q - 7*q - 21*q + 2*q. -24*q Collect the terms in 5*s - 3*s - 3*s + 4. -s + 4 Collect the terms in 159*d**2 - 189*d**2 + 493*d**2. 463*d**2 Collect the terms in -24*n + 225*n**3 + 24*n - 224*n**3. n**3 Collect the terms in -44*l**2 + 21*l**2 + 24*l**2. l**2 Collect the terms in -45837 + 45837 - 4*r**2. -4*r**2 Collect the terms in -3*a - 4*a + 19*a - 18*a. -6*a Collect the terms in -251 + 251 - 4*x**2 + 0*x + 0*x. -4*x**2 Collect the terms in 2 - g - 44 + 0 + 2*g. g - 42 Collect the terms in 37*y**3 - 37*y**3 - 2*y**3. -2*y**3 Collect the terms in -1 + 0 + 2 - 17*h. -17*h + 1 Collect the terms in -2*p**2 + 1 + 27 - 4 - 3. -2*p**2 + 21 Collect the terms in 920*c + 37*c**3 + 40*c**3 - 920*c. 77*c**3 Collect the terms in 43*a**3 + 37*a**3 - 71*a**3. 9*a**3 Collect the terms in 3*j + 598 - 598. 3*j Collect the terms in 2*z**2 - 31*z**3 - 32*z**3 + 59*z**3. -4*z**3 + 2*z**2 Collect the terms in -2*r**3 + 57 - 57. -2*r**3 Collect the terms in -5 + 126*p**3 - 891*p**3 + 5. -765*p**3 Collect the terms in 193*c**2 + 39 - 39. 193
{ "pile_set_name": "DM Mathematics" }
a - b = -2220. What is the nearest to 1/3 in x, a, 3? x Let c = 159/581 - -1/83. Let r(v) = -19*v + 575. Let w be r(30). Let h = 0 + 0. What is the closest to c in 2/7, w, h? 2/7 Let n = -1 + 1.5. Let q(y) = y + 10. Let x be q(-8). Suppose 4*t - j = 5, -x*t + 2*j = -5 + 1. Which is the nearest to t? (a) n (b) 0.4 (c) 5 a Let v = 25353 + -50711/2. Which is the nearest to 0? (a) -2 (b) -127 (c) v a Let x = -13979 + 13979.2. Which is the closest to 53? (a) -2 (b) 1.1 (c) x b Let b = -2.25 - 51.15. Let g = 50.4 + b. What is the nearest to -1/2 in g, -2, 1/8, 0.2? 1/8 Let v = -0.0193 - -5.4593. Let f = -5.64 + v. Let u = 283/4 + -70. What is the nearest to 1/2 in f, -1/2, u? u Let g be ((-380)/(-45) - 8)/((-12)/(-18)). Let a = -1.9 + 2.9. What is the nearest to a in g, 0.04, 5? g Let n = -24.5 - -24. Let w be -3*7/35*2/(-6). Let l = -50 - -47. Which is the closest to l? (a) n (b) w (c) 0.02 a Let j = 6127 - 6510. Which is the nearest to -3? (a) -4 (b) -2/5 (c) j a Let j = -131 - -134. Let i be 459/238*4/(-3) + j. Which is the closest to 1? (a) -4/3 (b) i (c) 0.5 (d) 0.2 c Let x = 2.1 - 1.9. Let n = 45 + -44.9. Which is the nearest to 0.18? (a) n (b) x (c) -1/6 b Let d be (8/180*1)/(1/10). Suppose 21 = -32*o + 53*o. What is the nearest to 3 in 4/3, d, o? 4/3 Let m = 315334 + -315332. Let z be 1*1/(-14)*-2. What is the nearest to -1 in m, 0, 3, z? 0 Suppose -4*l + 7*l = 3*u - 6, -6 = -3*u - 4*l. Let r be u/(-14)*(-280)/(-160). What is the nearest to r in -2, 3, 17? -2 Let h = -20.42 + -17.58. What is the closest to 0.1 in 1/5, h, -5, 0.1? 0.1 Let n be (1/(13 + 8))/((-4)/24). Suppose 906 = 4*j - 10*j. Which is the closest to 0.1? (a) 2/9 (b) j (c) n a Let u be 3 - 3*8/12. Let i(t) = -t - 2. Let o be i(-4). Let k = 455 - 2273/5. What is the nearest to o in u, 5, k? u Let q = 237 - 244. Let i = 1.24 - 7.94. Let k = i - q. Which is the closest to -7? (a) -1/5 (b) k (c) -1 c Let y = -2.7828 + 1.7828. What is the closest to y in 2/827, 5, 1? 2/827 Let y = 0.37 - -0.03. Let t be ((18/11)/(-3))/(14 - (-38 + 55)). Which is the closest to y? (a) t (b) -1 (c) 1/4 c Let d be 25/(-4) - 1/(28/(-7)). Let v be -1*(25/4 + d). Which is the closest to 0.2? (a) v (b) 2 (c) 0 c Let a = -14 + -11. Let u = a + 39. Suppose -4*f + 2 = -u. What is the closest to 0.1 in -4, f, 5? f Suppose -386*u + 381*u + 450 = 0. Suppose 2*n - n = -4*s - u, -2*s = -3*n + 52. Which is the nearest to 1/3? (a) s (b) 3 (c) 1 (d) -2/15 d Suppose 12*o - 2039 + 2026 = -o. Let i be (4/48)/(3/(-8)). What is the nearest to 0 in o, 1/5, i? 1/5 Let r = 12/1997 - -3886/17973. Which is the closest to 97? (a) 0.4 (b) r (c) 0.02 a Suppose -52*d - 356 = -148. What is the closest to -2/3 in 0.2, -2, d? 0.2 Let o = 13.64 + 2.66. Let v = -17.3 + o. Let g be 126/24 + -6 + (-70)/(-72). Which is the closest to v? (a) 0.3 (b) -3 (c) g c Let k(f) = -f**3 - 2*f**2 - 2*f - 1. Let d be k(-2). Let r be (-14)/(-12)*d/14. What is the closest to -1/3 in -0.4, -1, r? -0.4 Let p be 9/4*(-4)/6. Let z = -1/27 + 19/27. Let s = -1123 - -1123.3. What is the closest to -2/5 in s, p, z? s Let o be (125/50)/((-5)/(-8)). Let j be (170/(-51))/(o/(-6)). Which is the closest to -1/4? (a) -4 (b) -2/3 (c) 4 (d) j b Let o = -0.08873 - 4.41127. Which is the closest to 2? (a) o (b) -0.5 (c) 0.5 (d) 4.7 c Let k = 0.17997 + -0.17997. Let r = -5 + 5.3. Which is the closest to k? (a) r (b) -2/5 (c) 3 a Let w = 19341.5 - 19342. Which is the nearest to 0.2? (a) w (b) 0.4 (c) 0.0145 (d) 1 c Let x = 810.9 - 466.8. Let w = x + -344. Which is the nearest to w? (a) 1/6 (b) 4 (c) 3 a Let o = 18940 - 18939.9. Which is the nearest to o? (a) -1 (b) -10 (c) -0.1 c Let r = -11975 - -11980. What is the closest to -1 in 266, 4, r, -1? -1 Let u = 0.477 - 487.477. Let n = 487 + u. Which is the closest to 1? (a) n (b) -22 (c) 5 a Let v be ((-936)/(-1560))/((-6)/4). Which is the closest to 9/7? (a) 10 (b) v (c) 1.3 c Let s = -865.9 + 860.9. Which is the closest to -0.4? (a) s (b) -1/2 (c) -6/13 c Let t = -1 - 0. Let x = 0.804 + -0.544. Let h = x + -5.26. What is the nearest to h in t, 5, 0? t Let j = -8129153/573 + 14187. Let n = 1705/4011 - j. What is the closest to 0 in 4, n, -7? n Let q = -0.05 + -0.15. Let v = -56.47 + 56.87. Which is the closest to -1? (a) -1/2 (b) q (c) v a Let z = 2 + -2.2. Let w = -531.40554 + 0.00554. Let p = 531 + w. Which is the closest to p? (a) -0.4 (b) 4 (c) z a Let m = -27.8 + 155.8. Let q = -126 + m. Which is the closest to 1/2? (a) 5 (b) q (c) -0.06 c Let m = -0.6 - -0.63. Let v = -6 - -5. Which is the closest to -2/3? (a) 0.1 (b) m (c) v c Let o = -794.2 - -794. Which is the closest to o? (a) -0.5 (b) -0.1 (c) 36/5 (d) -1/3 b Let y = -1.8 + 2. Let x = 0 + y. Let k = 47730 - 47729.97. What is the nearest to 0.1 in x, 4/3, k? k Let m = 1279.6 - 1279.9. Let o = 28.6 + -27. What is the nearest to 2/5 in -3, m, o, 0.3? 0.3 Let o = 3326 + -3325. What is the nearest to 1 in 0.06, o, -1, 0.5? o Let o be 3 - ((-1253)/42 - 5). Suppose 0 = -5*l - 17 + 2, -2*r + l - 71 = 0. Let i = o + r. What is the nearest to 0.1 in -0.03, i, 2/15? 2/15 Let w = -24 - 10. Let h = -31.9 - w. Let z = h - 2.2. Which is the nearest to z? (a) -3 (b) -6 (c) 1/3 c Suppose -7*w - 281 = -8. Let r = w - -40. Let m be r/(-2)*(3 + (-51)/9). Which is the nearest to 2/3? (a) -0.2 (b) 1/4 (c) m b Let p be 6 + (66/10 + -3)/(2/(-5)). What is the nearest to 0.1 in 2/13, 0.115, 0.1, p? 0.1 Let k = 62 - 125/2. Let f = -44/57 - -40/19. What is the closest to k in -1/4, f, 0.05? -1/4 Let p = -20 + 31. Suppose 516 - 109 = p*r. Let s = r + -39. What is the nearest to -1 in -1/3, 2, s? -1/3 Let g = 3325 + -3324. Which is the nearest to 114? (a) g (b) 1/4 (c) 0.1 a Suppose -3*d = -0*d + 6. Let n = 4.2 + -4.6. Which is the closest to 3? (a) d (b) -5 (c) n c Let p = 0.17 + -4.17. Let u = 10360 + -10360.3. What is the closest to 1/7 in p, -2, u, 0.4? 0.4 Let n(d) = d + 7. Let h be n(-6). Let b = -121694.11 - -121694. Suppose 0 = 2*s - 0*s + 4. What is the nearest to 1/4 in s, b, h? b Suppose 952*b = 956*b + 12. What is the nearest to -2 in 5, b, -1/5, 7? b Let b = -13051 - -13051.4. What is the closest to 3/2 in b, 1, 8, -4? 1 Let d = 242.7 + -243.1. What is the nearest to 1/4 in d, -29, 0.4? 0.4 Suppose 11*l - 2*l + 69 = 78*l. What is the nearest to -2 in l, -0.4, -3? -3 Suppose 0 = 218*g + 201*g - 1676. Let i = 151 + 81. Let v = 3018/13 - i. Which is the nearest to g? (a) v (b) 5 (c) -0.04 b Let b = -2.9 + -1.1. Let f = 11.426 - -11.574. What is the closest to -1/5 in f, -0.3, b? -0.3 Suppose 23*m - 65 = 25*m - 4*v + 3, 2*v = 0. What is the nearest to 1/68 in -1/2, -1/3, m? -1/3 Let i = -48.3 + 48. Let h = 9.134 - -0.166. Let x = -9 + h. What is the nearest to -0.2 in x, 1, i? i Let m = 303.3 - 301.3. Which is the closest to 6? (a) m (b) -1 (c) -0.24 a Let p = 864 + -877.4. What is the nearest to -1 in 0, 2/7, p, -0.5? -0.5 Let h = -14480 + 14122.08. Let k = -358 - h. What is the closest to -1/3 in k, -2/11, 4/5? -2/11 Let d = -20927/108283 + -1/3493. Let v = -813 + 3251/4. Which is the closest to v? (a) d (b) 0.3 (c) 3 a Let o = -8.8 + 8.918. Let f = 0.018 - o. What is the closest to f in 0.2, 17, -2? 0.2 Suppose 0*x + 2*x - 3*w - 1461 = 0, 0 = -5*x - 2*w + 3662. Let i = x + -1499/2. Let b = -17 - i. What is the closest to 2 in 0.2, b, 0.1? b Let i = 34042 - 34045. Let f be 1/(-10)*(-10)/4. What is the nearest to 0.1 in -5, f, i? f Let b be ((-87)/580)/(6/16). What is the closest to b in 2, 1, -1/8, -8.7? -1/8 Let x = -0.806 + 8.206. Let t = 8.5 + -16. Let o = x + t. What is the closest to 2/3 in 2/11, o, -3/7? 2/11 Let u = -14.96 - -15. Let i = -123 + 193. Let z be (0 - 6) + 392/i. Which is the closest to u? (a) 1/5 (b) 5 (c) z a Let p = -93.2 + 93.2. Which is the closest to 0.1? (a) 79 (b) 2 (c) p c Let x = 3 - 3. Suppose -5*c - 32 = -35*z + 31*z, -2*z + 5*c + 26 = 0. Let w = -215/4 - -53. What is the closest to -2 in x, w, z? w Let a be 2*(1/(-6))/(-14*(-5)/210). Let h = 139 + -1389/10. What is the closest to 1 in h, -0.2, a? h Let k = 67951/7 + -9707. What is the closest to k in 0.6, 5, 4, 0.1? 0.1 Let f = 8.7104 - -0.0696. Let r = 8.8 - f. What is the closes
{ "pile_set_name": "DM Mathematics" }
168, -3707? -140*j**2 + j + 1327 What is the f'th term of -17568, -17553, -17538, -17523, -17508, -17493? 15*f - 17583 What is the f'th term of -228114, -456229, -684344, -912459, -1140574, -1368689? -228115*f + 1 What is the x'th term of -1328, -2667, -4020, -5393, -6792, -8223, -9692? -x**3 - x**2 - 1329*x + 3 What is the z'th term of 83, -43, -257, -547, -901, -1307? 2*z**3 - 56*z**2 + 28*z + 109 What is the x'th term of -30397, -30396, -30395, -30394, -30393? x - 30398 What is the q'th term of -9426, -18721, -28016, -37311, -46606, -55901? -9295*q - 131 What is the k'th term of 24699, 24693, 24685, 24675? -k**2 - 3*k + 24703 What is the f'th term of -403, -530, -697, -910, -1175? -f**3 - 14*f**2 - 78*f - 310 What is the r'th term of -828, -1713, -2630, -3579, -4560, -5573? -16*r**2 - 837*r + 25 What is the g'th term of 0, -130, -310, -522, -748, -970, -1170, -1330? 3*g**3 - 43*g**2 - 22*g + 62 What is the m'th term of 5771, 5828, 5883, 5936, 5987? -m**2 + 60*m + 5712 What is the y'th term of -153, -314, -479, -648? -2*y**2 - 155*y + 4 What is the v'th term of 146031, 146025, 146015, 146001, 145983, 145961? -2*v**2 + 146033 What is the d'th term of 135, 264, 395, 534, 687? d**3 - 5*d**2 + 137*d + 2 What is the m'th term of 2305530, 4611062, 6916594? 2305532*m - 2 What is the l'th term of -34692, -34694, -34698, -34704, -34712? -l**2 + l - 34692 What is the x'th term of -158, -516, -874, -1232, -1590, -1948? -358*x + 200 What is the g'th term of -374, -330, -286, -248, -222, -214? -g**3 + 6*g**2 + 33*g - 412 What is the h'th term of -915, -1864, -2841, -3846? -14*h**2 - 907*h + 6 What is the b'th term of -212, -937, -2142, -3815, -5944? 2*b**3 - 252*b**2 + 17*b + 21 What is the g'th term of 31761, 127058, 285887, 508248, 794141? 31766*g**2 - g - 4 What is the v'th term of -554, -338, 250, 1396, 3286? 31*v**3 - v - 584 What is the x'th term of 17426, 17428, 17430? 2*x + 17424 What is the y'th term of 4932, 19864, 44750, 79590, 124384, 179132? 4977*y**2 + y - 46 What is the z'th term of 4321, 4581, 4839, 5095, 5349? -z**2 + 263*z + 4059 What is the g'th term of -124502, -249164, -373816, -498452, -623066, -747652, -872204? g**3 - g**2 - 124666*g + 164 What is the u'th term of -17222, -34431, -51624, -68801, -85962, -103107? 8*u**2 - 17233*u + 3 What is the n'th term of 8521, 17121, 25723, 34327, 42933? n**2 + 8597*n - 77 What is the b'th term of 347, 875, 1777, 3047, 4679, 6667, 9005? -b**3 + 193*b**2 - 44*b + 199 What is the v'th term of 603, 535, 467, 399, 331? -68*v + 671 What is the t'th term of 1420, 3297, 5164, 7015, 8844, 10645, 12412, 14139? -t**3 + t**2 + 1881*t - 461 What is the m'th term of 869, 787, 705? -82*m + 951 What is the t'th term of -4263365, -4263366, -4263367, -4263368, -4263369, -4263370? -t - 4263364 What is the w'th term of -83145, -332575, -748291, -1330293, -2078581, -2993155, -4074015? -83143*w**2 - w - 1 What is the b'th term of 335, 1347, 3033, 5393, 8427, 12135? 337*b**2 + b - 3 What is the s'th term of -5, 30, 37, -26, -201, -530, -1055, -1818? -7*s**3 + 28*s**2 - 26 What is the y'th term of -52625, -105254, -157883, -210512, -263141? -52629*y + 4 What is the l'th term of 4178, 8380, 12562, 16712, 20818, 24868, 28850, 32752? -2*l**3 + 2*l**2 + 4210*l - 32 What is the p'th term of -14023, -28014, -41977, -55912, -69819, -83698, -97549? 14*p**2 - 14033*p - 4 What is the y'th term of 12, 25, 24, 9? -7*y**2 + 34*y - 15 What is the y'th term of 47594, 95197, 142800, 190403? 47603*y - 9 What is the n'th term of -126481, -126477, -126473, -126469? 4*n - 126485 What is the k'th term of -64527, -129054, -193581, -258108? -64527*k What is the a'th term of -3352, -3396, -3440, -3484? -44*a - 3308 What is the k'th term of 327, 606, 871, 1116, 1335, 1522, 1671? -k**3 - k**2 + 289*k + 40 What is the r'th term of -419, -445, -475, -509, -547, -589? -2*r**2 - 20*r - 397 What is the t'th term of -283579, -1134303, -2552177, -4537201, -7089375, -10208699, -13895173? -283575*t**2 + t - 5 What is the b'th term of 2117, 4129, 6039, 7841, 9529, 11097, 12539, 13849? -b**3 - 45*b**2 + 2154*b + 9 What is the i'th term of -178379, -356762, -535145, -713528? -178383*i + 4 What is the u'th term of -46906, -46885, -46864, -46843, -46822? 21*u - 46927 What is the a'th term of 159575, 159573, 159571? -2*a + 159577 What is the s'th term of -4470, -4471, -4472, -4473? -s - 4469 What is the q'th term of -1630, -1630, -1624, -1606, -1570, -1510, -1420, -1294? q**3 - 3*q**2 + 2*q - 1630 What is the f'th term of -1216, -2431, -3650, -4873, -6100, -7331, -8566? -2*f**2 - 1209*f - 5 What is the d'th term of 1268, 2529, 3786, 5039, 6288, 7533? -2*d**2 + 1267*d + 3 What is the z'th term of 1588, 3213, 4838, 6463, 8088? 1625*z - 37 What is the c'th term of -573, -1489, -2399, -3297, -4177, -5033? c**3 - 3*c**2 - 914*c + 343 What is the n'th term of 96, 899, 3052, 7221, 14072, 24271, 38484? 111*n**3 + 9*n**2 - n - 23 What is the z'th term of 15, 34, 49, 60, 67? -2*z**2 + 25*z - 8 What is the h'th term of -961, -876, -791, -706? 85*h - 1046 What is the g'th term of -839, -886, -895, -848, -727, -514? 3*g**3 + g**2 - 71*g - 772 What is the f'th term of -484, -1286, -2080, -2860, -3620? f**3 - 2*f**2 - 803*f + 320 What is the q'th term of -44, -244, -594, -1088, -1720? q**3 - 81*q**2 + 36*q What is the m'th term of -9622, -9639, -9682, -9763, -9894, -10087, -10354? -2*m**3 - m**2 - 9619 What is the m'th term of 5128, 5099, 5050, 4981, 4892, 4783? -10*m**2 + m + 5137 What is the r'th term of 10868, 11080, 11434, 11930, 12568? 71*r**2 - r + 10798 What is the i'th term of 117037, 234209, 351391, 468589, 585809, 703057? i**3 - i**2 + 117168*i - 131 What is the r'th term of 366729, 733465, 1100201, 1466937, 1833673? 366736*r - 7 What is the k'th term of 4965, 9872, 14779, 19686, 24593, 29500? 4907*k + 58 What is the p'th term of 399, 865, 1319, 1761? -6*p**2 + 484*p - 79 What is the y'th term of 124, 181, 160, 55, -140, -431? -y**3 - 33*y**2 + 163*y - 5 What is the d'th term of -4531, -9531, -14531, -19531, -24531? -5000*d + 469 What is the h'th term of -30966, -30964, -30962, -30960, -30958? 2*h - 30968 What is the y'th term of 12469, 12468, 12477, 12502, 12549, 12624, 12733, 12882? y**3 - y**2 - 5*y + 12474 What is the j'th term of -5328, -10636, -15942, -21246, -26548, -31848, -37146? j**2 - 5311*j - 18 What is the k'th term of 1484, 2892, 4300, 5708, 7116? 1408*k + 76 What is the l'th term of -309809, -309808, -309807? l - 309810 What is the g'th term of 256, 994, 2222, 3946, 6172, 8906? g**3 + 239*g**2 + 14*g + 2 What is the m'th term of -335549, -335546, -335541, -335534? m**2 - 335550 What is the g'th term of 342, 1351, 3034, 5391? 337*g**2 - 2*g + 7 What is the u'th term of -823, -834, -849, -868, -891? -2*u**2 - 5*u - 816 What is the n'th term of -262998, -262996, -262994, -262992, -262990, -262988? 2*n - 263000 What is the v'th term of 1738, 1790, 1848, 1918, 2006, 2118? v**3 - 3*v**2 + 54*v + 1686 What is the r'th term of -277, -561, -849, -1141, -1437? -2*r**2 - 278*r + 3 What is the p'th term of 31, -151, -625, -1535, -3025, -5239? -24*p**3 - 2*p**2 - 8*p + 65 What is the q'th term of -74, -16, 42, 100? 58*q - 132 What is the m'th term of 328, 240, 92, -116? -30*m**2 + 2*m + 356 What is the x'th term of 4126, 4265, 4510, 4873, 5366, 6001? 2*x**3 + 41*x**2 + 2*x + 4081 What is the x'th term of 114067, 114071, 114079, 114091, 114107, 114127? 2*x**2 - 2*x + 114067 What is the j'th term of -36988, -147971, -332946, -591913, -924872, -1331823, -1812766? -36996*j**2 + 5*j + 3 What is the c'th term of -117411, -234824, -352237, -469650, -587063? -117413*c + 2 What is the u'th term of 6254, 12496, 18752, 25028, 31330, 37664, 44036? u**3 + u**2 + 6232*u + 20 What is the h'th term of -560282, -1120563, -1680844, -2241125? -560281*h - 1 What is the m'th term of -233994, -467992, -701992, -935994, -1169998? -m**2 - 233995*m + 2 What is the w'th term of 184, 236, 288, 340, 392? 52*w + 132 What is the y'th term of -66, -292, -840, -1872, -3550, -6036, -9492? -27*y**3 + y**2 - 40*y What is the l'th term of 3198736, 3198737, 3198738, 3198739, 3198740? l + 3198735 What is the q'th term of -159544, -319089, -478634, -638179, -797724? -159545*q + 1 What is the p'
{ "pile_set_name": "DM Mathematics" }
/7 Let y = 20 + -20. Let u = -25/44 - -3/4. Factor 0 + u*c**2 + y*c. 2*c**2/11 Let o(m) be the third derivative of -m**8/168 + m**6/30 - m**4/12 - 76*m**2. What is i in o(i) = 0? -1, 0, 1 Let u = -5 - -7. Let n be ((-64)/(-1120))/(1*(-1)/(-5)). Determine c so that -4/7 - n*c**u + 6/7*c = 0. 1, 2 Let f(q) be the third derivative of 0*q + 7*q**2 + 0 - 1/8*q**4 + 0*q**3 + 1/40*q**5. Determine n so that f(n) = 0. 0, 2 Let b(l) be the first derivative of -2*l**6/15 + 52*l**5/25 - 18*l**4/5 - 128*l**3/3 - 256*l**2/5 + 103. Suppose b(k) = 0. Calculate k. -2, -1, 0, 8 Factor -2/3*r**2 + 8/3*r + 10/3. -2*(r - 5)*(r + 1)/3 Let l be 54/(-42) + (-99)/(-77). Factor -1/6*z**5 + 0 - 5/6*z**4 - 7/6*z**3 + l*z - 1/2*z**2. -z**2*(z + 1)**2*(z + 3)/6 Let d(o) be the second derivative of -o**6/480 - o**5/48 - o**4/12 - o**3/6 - 16*o**2 + 21*o. Let q(l) be the first derivative of d(l). Factor q(i). -(i + 1)*(i + 2)**2/4 Suppose -10*x + 7*x = 36. Let c be 2/x*-4*3. Factor -11*l**3 - 8*l**4 + 8 - 4*l**5 - 28*l - 11*l**2 + 43*l**3 + 3*l**c + 8. -4*(l - 1)**3*(l + 1)*(l + 4) Let q(s) be the first derivative of -s**3/3 - 129*s**2/2 - 128*s - 703. Solve q(c) = 0 for c. -128, -1 Solve 52*g**2 - 5408*g + 562432/3 - 1/6*g**3 = 0 for g. 104 Let o = 2529/2110 - -3/2110. Let -3/5*q + 0 + o*q**2 - 3/5*q**3 = 0. Calculate q. 0, 1 Let b(a) be the first derivative of -a**6/33 + 8*a**5/55 - 28*a**3/33 + 17*a**2/11 - 12*a/11 - 174. Determine t so that b(t) = 0. -2, 1, 3 Let y = -19 + 13. Let r(t) = 5*t**2 - 6*t - 6. Let c(m) = -6*m**2 + 5*m - m**2 + m**2 + 5 + 2*m**2. Let j(g) = y*c(g) - 5*r(g). Factor j(h). -h**2 Let r be 1*(-5)/15*-15. Let x(v) be the third derivative of 0*v**3 - 2/35*v**7 + 2*v**2 + 0 + 1/15*v**6 + 1/5*v**r - 1/3*v**4 + 0*v. Factor x(l). -4*l*(l - 1)*(l + 1)*(3*l - 2) Let s(q) be the third derivative of -q**6/72 - 19*q**5/36 - 40*q**4/9 - 50*q**3/3 - q**2 + 634. Factor s(f). -5*(f + 2)**2*(f + 15)/3 Let y(q) = -2*q**2 + 48*q - 16. Let v(l) = 3*l**2 - 97*l + 33. Let m = 51 + -45. Let a(w) = m*v(w) + 13*y(w). Let a(s) = 0. Calculate s. 1/4, 5 Factor 0*i - 29*i - 54 + 8*i + 3*i**2. 3*(i - 9)*(i + 2) Let n(o) be the second derivative of o**5/80 + o**4/48 - o**3/4 + 87*o. Factor n(c). c*(c - 2)*(c + 3)/4 Let c(t) be the second derivative of 12*t**6/5 + 51*t**5/20 + 3*t**4/4 - 256*t. Factor c(x). 3*x**2*(3*x + 1)*(8*x + 3) Let j(x) be the third derivative of x**7/168 + x**6/144 + x**4/4 + 11*x**2. Let r(m) be the second derivative of j(m). Factor r(g). 5*g*(3*g + 1) Let j(g) be the first derivative of -5*g**8/336 + g**6/12 - 5*g**4/24 + g**2/2 - 11. Let r(h) be the second derivative of j(h). Find y such that r(y) = 0. -1, 0, 1 Suppose z = -3, -z = 10*f + 2 - 49. Find j, given that -f*j**2 + 0 - 5/3*j**3 - 10/3*j = 0. -2, -1, 0 Let o(x) be the second derivative of 12*x**4 + 55*x**3 + 41*x**2 - 17*x - 12*x + 9*x**2 - 15*x**3. Factor o(s). 4*(6*s + 5)**2 Let j(y) = 2*y**2 - 305*y - 4660. Let t be j(-14). Factor 0 - 1/8*o**t + 1/4*o. -o*(o - 2)/8 Factor 45/8*d + 2*d**2 + 1/8*d**3 - 81/4. (d - 2)*(d + 9)**2/8 Let h(p) = -2*p**3 + 8*p**2 + 15*p - 25. Let c be h(5). Suppose 4*n - 3 = n, 3*n = 4*b - 9. Factor c*y**2 + 4/19 - 2/19*y**b + 6/19*y. -2*(y - 2)*(y + 1)**2/19 Let c(l) be the first derivative of l**5/10 + 3*l**4/16 - 2*l**3/3 + 3*l**2/8 + 25. Suppose c(i) = 0. Calculate i. -3, 0, 1/2, 1 Solve -100*w - 18 + 30 - 5*w**2 + 36 - 9*w - 9*w = 0. -24, 2/5 Find v, given that 369*v**2 - 10*v - 179*v**2 - 185*v**2 = 0. 0, 2 Let c be (-2)/(-3)*3/30. Let z = 1/10 + c. Factor 1/6*s + 0 + 0*s**2 - z*s**3. -s*(s - 1)*(s + 1)/6 Let v(l) be the third derivative of -l**7/504 + l**6/36 - l**5/6 - 3*l**4/4 + 15*l**2. Let q(g) be the second derivative of v(g). Factor q(z). -5*(z - 2)**2 Let i(c) be the third derivative of 0*c**3 + 1/24*c**4 - 5*c**2 - 1/40*c**6 - 1/105*c**7 + 0*c + 0 + 0*c**5. Factor i(s). -s*(s + 1)**2*(2*s - 1) Let -24 - 61 + 5 + 5*v**2 - 75*v = 0. What is v? -1, 16 Suppose 3*a - 3 = -0*a, 4*v + 5*a = 5. Let n(x) be the third derivative of v*x + 1/14*x**4 + 4/21*x**3 + 0 + 1/70*x**5 + 3*x**2 + 1/840*x**6. Factor n(o). (o + 2)**3/7 Solve -16*u + 0*u + 21*u**3 - 86*u**4 - 64*u**2 + 10*u**5 - 48*u + 183*u**3 = 0 for u. -2/5, 0, 1, 4 Suppose -4*m + 8 + 8 = 0. Let i(x) be the second derivative of -1/36*x**m + 4*x + 1/9*x**3 + 0*x**2 + 0. What is v in i(v) = 0? 0, 2 Let p(d) be the second derivative of 3*d**5/20 + 5*d**4/2 + 14*d**3 + 36*d**2 - 186*d. Factor p(w). 3*(w + 2)**2*(w + 6) Let u(c) be the first derivative of -c**7/4620 + c**6/990 + c**5/660 - c**4/66 + 10*c**3/3 - 2. Let a(b) be the third derivative of u(b). Factor a(j). -2*(j - 2)*(j - 1)*(j + 1)/11 Let u(i) be the first derivative of 0*i**4 + 0*i - 5/3*i**3 + i**5 + 5 + 0*i**2. Factor u(p). 5*p**2*(p - 1)*(p + 1) Let h = 16342 + -16340. Determine l, given that -8/5 - 2/5*l + 1/5*l**h = 0. -2, 4 Let j(c) be the first derivative of 0*c - 1/5*c**2 - 23 + 8/25*c**5 - 1/15*c**6 + 8/15*c**3 - 3/5*c**4. Factor j(g). -2*g*(g - 1)**4/5 Solve 0*i + 1/5*i**3 + 2/5*i**2 + 0 = 0. -2, 0 Suppose 15 - 75 = -10*d. Let h be (d/(-20))/(12/(-20)). Determine q so that 0 + 0*q**2 - h*q**3 + 2*q = 0. -2, 0, 2 Let r(f) = 13*f**2 - 7*f + 5. Let l(q) = q**2 - q + 1. Let w(t) = -22*l(t) + 2*r(t). Factor w(h). 4*(h - 1)*(h + 3) Let k(b) be the first derivative of -3*b**2 - 14/3*b**3 - 5/2*b**4 - 20 - 2/5*b**5 + 0*b. Solve k(q) = 0. -3, -1, 0 Let v(a) = -12*a**3 - 22*a**2 + 10*a. Let i(f) be the third derivative of -f**6/10 - 7*f**5/20 + 11*f**4/24 - 5*f**2. Let w(k) = -6*i(k) + 5*v(k). Factor w(t). 4*t*(t + 2)*(3*t - 2) Suppose 133 = 5*v - n, 2*v - 6*v + n = -107. Let r = -21 + v. Factor 3*l**3 + l**3 - 4*l**5 - 4*l**4 + l**5 - l**r + 4*l**2. -4*l**2*(l - 1)*(l + 1)**2 Factor -14/19*o**4 + 2*o**3 + 0 - 34/19*o**2 + 10/19*o. -2*o*(o - 1)**2*(7*o - 5)/19 Determine o so that 4876*o**2 - 416 + 5*o**4 - o**4 - 2*o**4 + 608*o + 40*o**3 - 5164*o**2 = 0. -26, 2 Let d(o) be the third derivative of 3/560*o**7 + 0 + 0*o + 49/8*o**3 - 273/64*o**4 - 28*o**2 - 47/320*o**6 + 219/160*o**5. Suppose d(i) = 0. Calculate i. 2/3, 1, 7 Suppose 0 = -47*n + 44*n + 9. Let l(v) be the second derivative of 1/3*v**3 - 1/36*v**4 + 0 + n*v - 3/2*v**2. Factor l(m). -(m - 3)**2/3 Let g(p) be the second derivative of -p**9/1008 + 3*p**7/280 + p**6/60 - p**3/3 - 3*p. Let x(c) be the second derivative of g(c). Factor x(u). -3*u**2*(u - 2)*(u + 1)**2 Let s(x) be the second derivative of x**5/3 - 4*x**4/9 - 10*x**3/9 + 8*x**2/3 + 43*x. Factor s(l). 4*(l - 1)*(l + 1)*(5*l - 4)/3 Let w(a) = 4*a**3 + 8*a**2 + 4*a. Let x(y) = y**5 + y**4 + y**2 + y. Suppose -3*c - 2*c + 5 = 0. Let b(t) = c*w(t) - 4*x(t). Factor b(z). -4*z**2*(z - 1)*(z + 1)**2 Let f(r) be the second derivative of -r**8/84 + 2*r**7/35 - 4*r**5/15 - r**2/2 + 15*r. Let s(h) be the first derivative of f(h). Factor s(q). -4*q**2*(q - 2)**2*(q + 1) Let i be (-3)/(15/6 + -3). Let y(d) be the third derivative of 1/168*d**8 + 1/20*d**i - 1/35*d**7 - 3*d**2 + 0*d + 0*d**4 + 0*d**3 - 1/30*d**5 + 0. Factor y(s). 2*s**2*(s - 1)**3 Let g be 16 + 0/1 + -1. Let q = g - 11. Solve 3*j**3 - 3*j**3 - 13*j**4 + 12*j**q = 0 for j. 0 Suppose 3*h = -2*c + 2 + 12, -3*h + 18 = 3*c. Let -4*t**h + 29*t - 49*t + 24*t = 0. Calculate t. 0, 1 Let m(n) = n**2 - 2*n - 1. Let p be m(4). Suppose o + 3*t = p*t + 20, 2*t = -8. Find x, given that -10*x**2 - 8*x**3 + 4*x**o + 2*x**4 + 3*x + x = 0. -1, 0, 1/3, 2 Let m = -508 + 510. Let v(d) be the second derivative of 28/165*d**6 + 0*d**3 - 7*d + 2/55*d**5 + 0 + 0*d**4 + 0*d**m + 7/33*d**7. Factor v(x). 2*x**3*(7*x + 2)**2/11 Let f = -152 + 152. Let i(b) be the first derivative of -b**2 + 2 + 1/3*b**6 + 4/3*b**3 + 0*b + f*b**4 - 4/5*b**5. What is j in i(j) = 0? -1, 0, 1 Let h = 28 - 24. Let r = 4 + h. Solve r*s**3 + 12*s**4 + 4*s**3 + 0*s**2 + 2*s**5 + 2*s**5 + 4*s**2 = 0 for s. -1, 0 Let t(u) = u**3 + 27*u**2 + 25*u - 26. Let f be t(-26). Let d be 5/2 - (3 - 1). Find c, given that f - d*c**3 - 1/2*c**2 + c = 0. -2, 0, 1 Let b(w) = -w**2 - 23*w - 17. Let h(x) be the second derivative of -x**4/12 - 11*x**3/6 - 4*x**2 - 8*x. Let i(t) = 2*b(t) - 5*h(t). Factor i(c). 3*(c + 1)*(c + 2) Let p(j) be the second derivative of 6*j - 3/10*j**5 + 0 - 23/24*j**4 + 1/2*j**2 + 1/4*j**3. Factor p(m). -(m + 2)*(3*
{ "pile_set_name": "DM Mathematics" }
3 What is -6.29434 rounded to one dp? -6.3 What is 0.015795 rounded to 2 decimal places? 0.02 Round 0.07263782 to five dps. 0.07264 Round -0.000447017 to six dps. -0.000447 What is 214163 rounded to the nearest ten thousand? 210000 Round -355.5712 to zero decimal places. -356 What is -0.001063551 rounded to five dps? -0.00106 What is -0.1759855 rounded to 3 dps? -0.176 What is -7632020 rounded to the nearest 10000? -7630000 Round 232067610 to the nearest one hundred thousand. 232100000 Round -0.022401007 to 3 dps. -0.022 Round -205222 to the nearest 100000. -200000 Round -0.00000423235 to six decimal places. -0.000004 What is 17355580.2 rounded to the nearest 1000000? 17000000 Round 0.0007715173 to four decimal places. 0.0008 What is 5352.2976 rounded to the nearest ten? 5350 Round -10705714 to the nearest 1000000. -11000000 What is 376.502 rounded to the nearest integer? 377 Round 0.122009 to 2 decimal places. 0.12 What is 1.13692 rounded to three dps? 1.137 Round 0.001330133 to four decimal places. 0.0013 Round -16751310 to the nearest one hundred thousand. -16800000 What is 0.00000021400003 rounded to 7 decimal places? 0.0000002 What is -49.639851 rounded to the nearest integer? -50 Round 1780382.9 to the nearest ten thousand. 1780000 Round -68964330 to the nearest one million. -69000000 Round -15757.481 to the nearest one hundred. -15800 Round 21352.969 to the nearest 10. 21350 What is -0.00000915044 rounded to 6 dps? -0.000009 Round 987670 to the nearest one thousand. 988000 Round 0.00001159216 to six dps. 0.000012 What is -0.000001639 rounded to seven decimal places? -0.0000016 Round 3.023853 to one dp. 3 What is 0.00002191376 rounded to seven decimal places? 0.0000219 What is 54410.1 rounded to the nearest 100? 54400 What is 0.0000096996 rounded to six decimal places? 0.00001 Round 726424000 to the nearest one million. 726000000 What is 0.015334814 rounded to 3 dps? 0.015 What is -0.00000944097 rounded to 6 decimal places? -0.000009 Round 0.281994 to two dps. 0.28 Round 126.87264 to 1 decimal place. 126.9 What is -2.7990101 rounded to 0 dps? -3 What is 0.2608673 rounded to two dps? 0.26 What is -0.0375754 rounded to 3 decimal places? -0.038 Round -8.430705 to three decimal places. -8.431 What is 745200 rounded to the nearest one hundred thousand? 700000 Round -0.00001813027 to six decimal places. -0.000018 Round 0.00000084208122 to 7 decimal places. 0.0000008 What is 5095.968 rounded to the nearest integer? 5096 Round -75.2429 to 1 dp. -75.2 Round 0.3164688 to three decimal places. 0.316 What is -150421 rounded to the nearest ten thousand? -150000 Round -37.89397 to the nearest ten. -40 Round -325812.93 to the nearest 100. -325800 What is 0.0018345341 rounded to six decimal places? 0.001835 Round 0.000000203576 to 7 decimal places. 0.0000002 What is -975.95 rounded to the nearest one thousand? -1000 What is -807.99 rounded to the nearest ten? -810 What is 0.5188563 rounded to 1 decimal place? 0.5 What is -0.0000243411 rounded to 7 dps? -0.0000243 Round -21.398 to one dp. -21.4 What is 0.0001261739 rounded to 6 dps? 0.000126 What is -0.000001925406 rounded to seven dps? -0.0000019 What is 0.00005661572 rounded to seven decimal places? 0.0000566 Round -0.05842425 to two dps. -0.06 Round 194002.93 to the nearest ten thousand. 190000 What is 4319395 rounded to the nearest one thousand? 4319000 What is -11.16918 rounded to 1 decimal place? -11.2 Round 0.0000714966 to 7 dps. 0.0000715 What is 0.02638605 rounded to 3 decimal places? 0.026 Round 493823.9 to the nearest one hundred thousand. 500000 Round 148156.7 to the nearest one thousand. 148000 Round -10118.576 to the nearest ten. -10120 What is -10458.9 rounded to the nearest one hundred? -10500 What is -573730 rounded to the nearest one thousand? -574000 Round 0.008378122 to 6 decimal places. 0.008378 Round -0.000952159 to five decimal places. -0.00095 What is 0.002757813 rounded to 4 dps? 0.0028 Round -2464892 to the nearest 1000. -2465000 What is -0.141521 rounded to three decimal places? -0.142 What is -239144000 rounded to the nearest one million? -239000000 Round 0.62186 to two dps. 0.62 What is 3644.6 rounded to the nearest 10? 3640 What is -3102.8 rounded to the nearest 1000? -3000 Round 4395.68 to the nearest 10. 4400 Round -7398.6 to the nearest one thousand. -7000 Round 532031 to the nearest 10000. 530000 What is 0.431418 rounded to three dps? 0.431 What is 13.004835 rounded to the nearest integer? 13 What is 0.0001820762 rounded to seven dps? 0.0001821 Round 34950.13 to the nearest 1000. 35000 Round -85397400 to the nearest 1000000. -85000000 Round -59.690993 to the nearest 10. -60 What is -0.0000183583 rounded to six dps? -0.000018 Round 2300265000 to the nearest one million. 2300000000 What is -463.31872 rounded to zero decimal places? -463 What is 0.000000611 rounded to five decimal places? 0 Round 0.00108943 to four dps. 0.0011 What is 0.0001449569 rounded to six decimal places? 0.000145 Round 0.576356 to 2 decimal places. 0.58 What is -0.02095433 rounded to three dps? -0.021 Round 14137.276 to the nearest ten. 14140 What is -507.784 rounded to the nearest 10? -510 Round -137.5399 to 0 dps. -138 Round -1091123100 to the nearest 1000000. -1091000000 What is -0.17572 rounded to two decimal places? -0.18 Round -17240400 to the nearest 1000000. -17000000 What is -0.000861906 rounded to four decimal places? -0.0009 Round -20.931616 to three dps. -20.932 What is 0.00001101375 rounded to 7 decimal places? 0.000011 Round -0.00013240808 to five decimal places. -0.00013 Round 0.000080828 to six dps. 0.000081 Round -0.05088187 to 3 decimal places. -0.051 What is 60853800 rounded to the nearest one million? 61000000 Round -3.26629 to one decimal place. -3.3 Round -0.0000274496 to 6 dps. -0.000027 Round 159711420 to the nearest 1000000. 160000000 Round 1384120.3 to the nearest 100000. 1400000 What is -2.118394 rounded to 2 decimal places? -2.12 Round 3.339789 to one decimal place. 3.3 What is -0.267704 rounded to 3 dps? -0.268 Round -857418000 to the nearest one million. -857000000 Round -0.0000002240021 to seven decimal places. -0.0000002 What is -0.000197379 rounded to six decimal places? -0.000197 Round 0.1067614 to 3 dps. 0.107 What is -1.149009 rounded to two decimal places? -1.15 Round -0.802744 to one decimal place. -0.8 Round 0.000303018 to five decimal places. 0.0003 What is 0.035402123 rounded to three decimal places? 0.035 What is -1.00939 rounded to 0 decimal places? -1 What is 151217 rounded to the nearest one thousand? 151000 Round -698996 to the nearest ten thousand. -700000 What is -12.7421 rounded to 2 dps? -12.74 What is 1168.9081 rounded to the nearest integer? 1169 Round 7990160 to the nearest 100000. 8000000 Round -0.0879788 to two decimal places. -0.09 What is 5.452948 rounded to one dp? 5.5 Round -11841757 to the nearest 1000000. -12000000 What is 0.00514976 rounded to 3 decimal places? 0.005 Round -5810.61 to the nearest one thousand. -6000 What is 212894.01 rounded to the nearest one hundred? 212900 What is 0.02217644 rounded to three dps? 0.022 What is 11.27443 rounded to the nearest integer? 11 Round -1977303.3 to the nearest one thousand. -1977000 What is -0.0683772 rounded to three dps? -0.068 Round 0.0059565 to 3 decimal places. 0.006 What is -0.0027189 rounded to four decimal places? -0.0027 What is -197974 rounded to the nearest ten thousand? -200000 Round 0.0001993444 to 6 dps. 0.000199 What is 0.02767368 rounded to 2 decimal places? 0.03 Round -104.41225 to one decimal place. -104.4 Round 1.055183 to 2 dps. 1.06 Round -1737.868 to the nearest 100. -1700 Round -0.00784455 to five decimal places. -0.00784 Round -0.00001619117 to 7 dps. -0.0000162 Round 0.02004779 to four dps. 0.02 Round 7.786427 to 3 decimal places. 7.786 What is 13195.53 rounded to the nearest 1000? 13000 What is 9784.73 rounded to the nearest 10000? 10000 What is -2286560 rounded to the nearest one thousand? -2287000 What is 0.006335571 rounded to 5 decimal places? 0.00634 Round -76734440 to the nearest one hundred thousand. -76700000 What is -51390370 rounded to the nearest 1000000? -51000000 What is 98.95614 rounded to one decimal place? 99 Round 3245145.2 to the nearest 1000000.
{ "pile_set_name": "DM Mathematics" }
ded by 39? 38 What is the remainder when 315 is divided by 16? 11 What is the remainder when 1783 is divided by 58? 43 What is the remainder when 1077 is divided by 30? 27 Calculate the remainder when 46 is divided by 18. 10 What is the remainder when 396 is divided by 16? 12 Calculate the remainder when 25 is divided by 13. 12 Calculate the remainder when 1098 is divided by 38. 34 Calculate the remainder when 553 is divided by 171. 40 Calculate the remainder when 378 is divided by 18. 0 What is the remainder when 132 is divided by 7? 6 What is the remainder when 1518 is divided by 28? 6 What is the remainder when 784 is divided by 155? 9 Calculate the remainder when 78 is divided by 26. 0 Calculate the remainder when 690 is divided by 33. 30 What is the remainder when 53 is divided by 35? 18 Calculate the remainder when 680 is divided by 229. 222 Calculate the remainder when 54 is divided by 15. 9 What is the remainder when 311 is divided by 100? 11 Calculate the remainder when 156 is divided by 26. 0 What is the remainder when 660 is divided by 179? 123 What is the remainder when 780 is divided by 382? 16 Calculate the remainder when 68 is divided by 4. 0 What is the remainder when 378 is divided by 138? 102 What is the remainder when 36526 is divided by 451? 446 What is the remainder when 203 is divided by 2? 1 What is the remainder when 209 is divided by 27? 20 Calculate the remainder when 479 is divided by 22. 17 What is the remainder when 1680 is divided by 99? 96 Calculate the remainder when 5958 is divided by 101. 100 What is the remainder when 113 is divided by 23? 21 Calculate the remainder when 1153 is divided by 576. 1 Calculate the remainder when 13 is divided by 7. 6 Calculate the remainder when 570 is divided by 96. 90 What is the remainder when 1040 is divided by 340? 20 What is the remainder when 94 is divided by 89? 5 Calculate the remainder when 971 is divided by 65. 61 What is the remainder when 522 is divided by 107? 94 What is the remainder when 36 is divided by 2? 0 What is the remainder when 150 is divided by 81? 69 Calculate the remainder when 683 is divided by 76. 75 Calculate the remainder when 115 is divided by 39. 37 What is the remainder when 170 is divided by 97? 73 Calculate the remainder when 486 is divided by 82. 76 Calculate the remainder when 172 is divided by 71. 30 What is the remainder when 586 is divided by 10? 6 Calculate the remainder when 619 is divided by 9. 7 What is the remainder when 487 is divided by 99? 91 Calculate the remainder when 18605 is divided by 21. 20 What is the remainder when 328 is divided by 7? 6 What is the remainder when 339 is divided by 117? 105 Calculate the remainder when 1217 is divided by 26. 21 Calculate the remainder when 1255 is divided by 72. 31 Calculate the remainder when 545 is divided by 138. 131 Calculate the remainder when 665 is divided by 275. 115 What is the remainder when 13 is divided by 5? 3 Calculate the remainder when 158 is divided by 21. 11 What is the remainder when 3355 is divided by 24? 19 What is the remainder when 272 is divided by 98? 76 What is the remainder when 66 is divided by 53? 13 Calculate the remainder when 182 is divided by 27. 20 Calculate the remainder when 766 is divided by 207. 145 Calculate the remainder when 2374 is divided by 11. 9 Calculate the remainder when 935 is divided by 13. 12 Calculate the remainder when 152 is divided by 43. 23 What is the remainder when 5159 is divided by 429? 11 What is the remainder when 4398 is divided by 29? 19 What is the remainder when 511 is divided by 32? 31 What is the remainder when 791 is divided by 4? 3 What is the remainder when 1775 is divided by 427? 67 Calculate the remainder when 74 is divided by 15. 14 What is the remainder when 525 is divided by 114? 69 What is the remainder when 3357 is divided by 6? 3 Calculate the remainder when 71 is divided by 4. 3 What is the remainder when 1036 is divided by 65? 61 What is the remainder when 263 is divided by 84? 11 Calculate the remainder when 497 is divided by 35. 7 Calculate the remainder when 178 is divided by 28. 10 What is the remainder when 1233 is divided by 130? 63 What is the remainder when 305 is divided by 6? 5 What is the remainder when 613 is divided by 274? 65 Calculate the remainder when 573 is divided by 24. 21 Calculate the remainder when 147 is divided by 51. 45 What is the remainder when 12675 is divided by 2533? 10 What is the remainder when 3599 is divided by 106? 101 Calculate the remainder when 96 is divided by 16. 0 Calculate the remainder when 2433 is divided by 42. 39 Calculate the remainder when 1122 is divided by 1115. 7 What is the remainder when 86 is divided by 22? 20 Calculate the remainder when 5253 is divided by 72. 69 What is the remainder when 1361 is divided by 228? 221 Calculate the remainder when 167 is divided by 13. 11 Calculate the remainder when 5358 is divided by 8. 6 Calculate the remainder when 86 is divided by 59. 27 What is the remainder when 1969 is divided by 41? 1 What is the remainder when 415 is divided by 20? 15 What is the remainder when 388 is divided by 26? 24 Calculate the remainder when 634 is divided by 58. 54 Calculate the remainder when 108 is divided by 50. 8 Calculate the remainder when 1556 is divided by 40. 36 Calculate the remainder when 36 is divided by 27. 9 Calculate the remainder when 8843 is divided by 201. 200 Calculate the remainder when 172 is divided by 25. 22 What is the remainder when 581 is divided by 570? 11 Calculate the remainder when 623 is divided by 120. 23 Calculate the remainder when 1096 is divided by 123. 112 Calculate the remainder when 163 is divided by 13. 7 Calculate the remainder when 402 is divided by 48. 18 What is the remainder when 51 is divided by 35? 16 What is the remainder when 422 is divided by 18? 8 Calculate the remainder when 5614 is divided by 9. 7 Calculate the remainder when 1484 is divided by 183. 20 Calculate the remainder when 569 is divided by 43. 10 What is the remainder when 1313 is divided by 47? 44 What is the remainder when 53 is divided by 34? 19 Calculate the remainder when 7998 is divided by 18. 6 What is the remainder when 596 is divided by 99? 2 What is the remainder when 934 is divided by 13? 11 Calculate the remainder when 558 is divided by 48. 30 Calculate the remainder when 3558 is divided by 20. 18 Calculate the remainder when 328 is divided by 14. 6 Calculate the remainder when 142 is divided by 11. 10 What is the remainder when 4941 is divided by 206? 203 Calculate the remainder when 397 is divided by 50. 47 What is the remainder when 198 is divided by 29? 24 Calculate the remainder when 1034 is divided by 61. 58 Calculate the remainder when 147 is divided by 30. 27 Calculate the remainder when 822 is divided by 19. 5 What is the remainder when 19565 is divided by 233? 226 Calculate the remainder when 406 is divided by 68. 66 Calculate the remainder when 217 is divided by 192. 25 What is the remainder when 179 is divided by 14? 11 Calculate the remainder when 74 is divided by 40. 34 What is the remainder when 525 is divided by 17? 15 Calculate the remainder when 1474 is divided by 25. 24 What is the remainder when 6383 is divided by 8? 7 What is the remainder when 1537 is divided by 35? 32 Calculate the remainder when 430 is divided by 83. 15 What is the remainder when 133 is divided by 34? 31 What is the remainder when 1536 is divided by 23? 18 What is the remainder when 274 is divided by 85? 19 Calculate the remainder when 468 is divided by 74. 24 Calculate the remainder when 4212 is divided by 15. 12 What is the remainder when 99 is divided by 21? 15 Calculate the remainder when 151 is divided by 40. 31 Calculate the remainder when 26376 is divided by 121. 119 What is the remainder when 541 is divided by 30? 1 What is the remainder when 75 is divided by 13? 10 What is the remainder when 75 is divided by 28? 19 What is the remainder when 354 is divided by 62? 44 Calculate the remainder when 1155 is divided by 8. 3 What is the remainder when 1125 is divided by 12? 9 Calculate the remainder when 687 is divided by 243. 201 Calculate the remainder when 100 is divided by 23. 8 What is the remainder when 114 is divi
{ "pile_set_name": "DM Mathematics" }
6.0002. What is h rounded to 5 dps? 0.0002 Let z = -15.7 - -15.70000119. What is z rounded to seven dps? 0.0000012 Let l(r) = -23*r**3 + 8*r**2 + 6*r - 5. Let g be l(-5). Round g to the nearest one hundred. 3000 Let w = -5 - -10. Suppose 288 + 57 = w*z. Round z to the nearest 10. 70 Let x = -56 + 55.761. What is x rounded to two dps? -0.24 Let s = -479.7423 - -463.74. Let q = -2.5 - -18.5. Let p = s + q. What is p rounded to three dps? -0.002 Let s = -195.9919 - -196. Round s to three decimal places. 0.008 Let d = 33126 + -51226. What is d rounded to the nearest 1000? -18000 Let x = -192.99999923 - -193. Round x to 7 dps. 0.0000008 Let w(g) = 1 + 4 + 0 + 4 + 25*g. Let f be w(-6). What is f rounded to the nearest 10? -140 Let j = -2 - -2.003. Let u = 0.01 + j. What is u rounded to two dps? 0.01 Let l be (-4)/26 - 848/(-104). Suppose 0 = -2*d + g - 71, 4*d - 5*g = l*d + 177. Round d to the nearest ten. -40 Let f = 556414 + 663586. What is f rounded to the nearest one hundred thousand? 1200000 Let x = -0.1383151 + -0.7616784. Let j = x + 0.9. Round j to six dps. 0.000007 Let h be -1*(22 - (1 + -2)). Round h to the nearest 10. -20 Let m = -0.03 + 0.03. Let b = -2 + m. Let v = b + 1.902. Round v to two decimal places. -0.1 Let t = -17282 - -682. Round t to the nearest ten thousand. -20000 Let c = 0 + 0.1. Let y = 0.12 - c. Let n = y - 0.0200006. What is n rounded to 6 dps? -0.000001 Let o = 23.969 + 0.031. Let a = 208 + o. Let c = 231.9999879 - a. What is c rounded to 6 decimal places? -0.000012 Let p = -0.21 + 0.21000021. What is p rounded to seven decimal places? 0.0000002 Let k = 0.01499672 - 0.015. Round k to six dps. -0.000003 Let v be ((-1937539)/(-1))/(3/(-3)). Let d be -5 + 8 + (v - 2). Let r = d - -3457538. Round r to the nearest one hundred thousand. 1500000 Let p = 1933.19679921 + -1934.6268. Let j = 1.43 + p. Round j to 7 decimal places. -0.0000008 Let t = 0.528 + -0.5280219. What is t rounded to six dps? -0.000022 Let a = 2 - 1. Suppose 0 = -l - a, u + 2*l - 1 = l. Let s be u/((-4)/2)*-30. Round s to the nearest 100. 0 Let l be 0 + (-4)/((-4)/15). Suppose 2*a + 5 = 5*v, -8*v = -4*a - 3*v + l. Suppose -a - 36 = -2*r. Round r to the nearest 10. 20 Suppose -4 = -4*j + 8. Suppose -j*n - b = -15, -4*b = 2*n - 5*n + 30. Suppose -2500000 = -n*f + f. What is f rounded to the nearest one million? 1000000 Let r = -18250 + 8850. Round r to the nearest 1000. -9000 Let i(y) = -18*y + 1. Let o be i(-1). Let b = o + -7. What is b rounded to the nearest 10? 10 Let b = -1 + 0. Let n = 1 - b. Let d = n - 2.134. Round d to two dps. -0.13 Let l(u) = u**3 + 3*u**2 - 4*u + 3. Let q be l(-4). Suppose 5*c - f + 114999 = 0, 0 = -q*c + f - 50420 - 18579. What is c rounded to the nearest 10000? -20000 Let b = 137 - -708. Let n(t) = 5*t**2 - 2*t**2 - b*t**3 + 2*t**2. Let v be n(4). What is v rounded to the nearest 10000? -50000 Let l = 123.999993 + -124. What is l rounded to 6 dps? -0.000007 Let s = -0.35 - 0.05. Let x = s + 0.3959. Round x to 3 decimal places. -0.004 Let c = 4.0999875 + -4.1. Round c to six dps. -0.000013 Let s = -29128764.5 - -21868762. Let b = s - -7260009.5000026. Let v = 7 - b. Round v to six decimal places. -0.000003 Let s = 85.953 - 86. Round s to 2 decimal places. -0.05 Let u be (-457844)/10 - (-4)/10. Let f = -27255 - u. Suppose -3*n - f = -1429. Round n to the nearest 1000. -6000 Let g = 9 - 14. Let q(x) = -14*x - 7. Let r be q(g). What is r rounded to the nearest ten? 60 Let w = -0.3 + 0.29999967. Round w to 7 decimal places. -0.0000003 Suppose -3015 - 989 = 11*i. What is i rounded to the nearest 10? -360 Let t(w) = w**3 + 7*w**2 - 9*w - 3. Let f be t(-8). Suppose 24 = -q + f*q. Let z be (-250)/q*170400/1. What is z rounded to the nearest one million? -7000000 Let u = 0.04 + -0.32. Let o = u - -0.2800064. What is o rounded to six decimal places? 0.000006 Let n = -4.22 - -4. Let b = n + -0.08. Let o = b + 0.29995. What is o rounded to five decimal places? -0.00005 Let d = 51 - 14. Let q = d - 32.9. Let g = q - 3.76. Round g to 1 decimal place. 0.3 Let h = 1793 - 693. Round h to the nearest one hundred. 1100 Let s = 68 + -65.12. Let b = s + -3. Let q = -0.78 + b. What is q rounded to 1 decimal place? -0.9 Suppose 5*z = 5*d + 5, 3*d + 0*z - 5*z + 13 = 0. Let h(t) = 3*t**2 + t**2 - 321*t**3 + d - t + 94*t**3. Let m be h(-4). Round m to the nearest 1000. 15000 Let q = 17715471462.45 - 17689191071.44931. Let v = 26280500 - q. Let x = v - 109. Round x to four dps. -0.0007 Let k = 10 - -49. Let p = 59.000092 - k. What is p rounded to 5 decimal places? 0.00009 Let o = 273 + -484. Suppose 0 = -u - 19338 - 23451. Let k = u + o. Round k to the nearest ten thousand. -40000 Suppose 0 = -5*l - 0*l + 5*v - 35, -l - 11 = 3*v. Let w be (-1)/3*5736/l. Suppose 3*h = -w - 61. What is h rounded to the nearest one hundred? -100 Let n be 75/(-2*(-2)/(-152)). Let q = n - 8150. Round q to the nearest ten thousand. -10000 Suppose -4*u = 4, 78 = o + 2*u + 5. Let x = -35 + o. Round x to the nearest one hundred. 0 Let p = -1.06275 + -0.30715. Let t = 1.72028 + p. Let y = t + -0.35. Round y to 4 dps. 0.0004 Let t(i) = -161*i**3 - 8*i**2 + 17. Let q be t(9). Round q to the nearest ten thousand. -120000 Let l = -1909637.8853656 - 0.1146344. Let q = l + 1909624.999945. Let w = -13 - q. Round w to 5 decimal places. 0.00006 Let x = 3 - -4. Let w = x + -7.12. Let s = w - 0.24. Round s to one dp. -0.4 Let f = 34342 + 41658. What is f rounded to the nearest ten thousand? 80000 Let y(w) = -w**2 - 6*w - 9. Let n be y(-6). Let t be ((-5920581)/9 - -2)*n. Suppose 5*h = t - 23920563. What is h rounded to the nearest 1000000? -4000000 Suppose 0 = 3*n + 7*j - 2*j - 1735, -5*n + 2*j + 2902 = 0. Round n to the nearest 100. 600 Let k(p) = -p + 6. Let f be k(4). Let w(t) = 8 + f*t + 0 + 0 + t**2 - t**3. Let j be w(-9). What is j rounded to the nearest 1000? 1000 Let p = 2 + 13. Suppose -2*l + 3*j = -l + 7085, -3*j - p = 0. What is l rounded to the nearest one thousand? -7000 Let t = -26997.184 + 27137.18229. Let k = 140 - t. Round k to four dps. 0.0017 Let f = -41.859364 - -43.85936452. Let i = 2 - f. What is i rounded to seven dps? -0.0000005 Let u = -137593.9374 - -137709.7. Let n = 77.756 - u. Let s = 38 + n. What is s rounded to 3 decimal places? -0.007 Suppose -8 - 6 = -2*c. Let z(u) = 29*u**3 + 9*u - 10. Let t be z(c). Round t to the nearest one hundred thousand. 0 Let i(y) = 2*y + 5. Let c be i(0). Suppose 3*a + 3606 = 2*q, 2*q - 6012 = c*a - 2*q. What is a rounded to the nearest 1000? -1000 Let k = 0.19 - 0.1909. Round k to 3 decimal places. -0.001 Let y = 1082 + -1081.890006. Let i = -0.11 + y. Round i to 5 dps. -0.00001 Let y = -1.62 + 1.619933. What is y rounded to five dps? -0.00007 Let z = -14406.49 - -14322. Let s = z + 85. Round s to one dp. 0.5 Let r = -21.8 - -25. Let y = 3.199974 - r. What is y rounded to 5 dps? -0.00003 Let s = -1.6 + 9.6. Let i = -8.6 + s. Round i to zero decimal places. -1 Let b = 546049168777179925 - 546049165967903036.99999989. Let m = b + -2809276909. Let z = -21 - m. What is z rounded to 7 dps? -0.0000001 Let w be 82/((-4)/(40 + 0)). What is w rounded to the nearest 100? -800 Suppose -2*u + 7*u - 1684965 = 0. Suppose r + 183007 = -u. Round r to the nearest one hundred thousand. -500000 Let d = -2.24 + 0.32. Let l = d - -1.4. Round l to 1 dp. -0.5 Suppose -4*m = -0*m + 56528072. Let p = -906436 - -7838454. Let r = m + p. Round r to the nearest one million. -7000000 Let i = -355 + 195. What is i rounded to the nearest ten? -160 Let h = 256 + -80. Let c = -176.0000081 + h. Round c to six decimal places. -0.000008 Let b(r) = -116*r**2 - 3*r + 2. Let v be b(-5). Let l = v - -4600. Suppose 3*t + 10283 = -l. What is t rounded to the nearest ten thousand? 0 Let y = -182.081 + 182. Let j = y - 4.619. What is j rounded to the nearest integer? -5 Suppose 3*f - 1440040 = -f. Let t = 7 - 5. Suppose -2*d + f = t*o, -4*d - 127344 = -o + 52636. Round o to the nearest one hundred thousand. 200000 Let g = -164.753 - -165. What is g rounded to 1 dp? 0.2 Let f = 1632.6926 - 1471.69187. Let u = 161 - f. Round u to 4 decimal places. -0.0007 Let t = -1293 - -1287.79. What is t rounded to 0 decimal places? -5 Suppose -6306748 = -i - 296748. What is i rounded to
{ "pile_set_name": "DM Mathematics" }
15, 46, 137, 264? s**3 - 79 What is the g'th term of -3, 5, 19, 39, 65, 97? 3*g**2 - g - 5 What is the f'th term of 110, 109, 108, 107, 106, 105? -f + 111 What is the z'th term of 285, 571, 855, 1137? -z**2 + 289*z - 3 What is the p'th term of -40, -51, -94, -187, -348, -595, -946, -1419? -3*p**3 + 2*p**2 + 4*p - 43 What is the j'th term of 74, 76, 78, 80? 2*j + 72 What is the x'th term of 1499, 2993, 4487, 5981, 7475, 8969? 1494*x + 5 What is the x'th term of -36, -39, -42, -45? -3*x - 33 What is the l'th term of 0, -23, -78, -177, -332, -555, -858? -2*l**3 - 4*l**2 + 3*l + 3 What is the f'th term of -8, -1, 4, 7, 8? -f**2 + 10*f - 17 What is the d'th term of 102, 210, 332, 474, 642? d**3 + d**2 + 98*d + 2 What is the t'th term of 32, 59, 86? 27*t + 5 What is the y'th term of -14, -11, -22, -53, -110, -199, -326? -y**3 - y**2 + 13*y - 25 What is the g'th term of -142, -150, -162, -178, -198, -222? -2*g**2 - 2*g - 138 What is the u'th term of 542, 547, 556, 569, 586, 607, 632? 2*u**2 - u + 541 What is the t'th term of -77, -137, -181, -209, -221? 8*t**2 - 84*t - 1 What is the c'th term of -6, -45, -112, -207, -330? -14*c**2 + 3*c + 5 What is the d'th term of -14, -19, -16, 1, 38, 101, 196, 329? d**3 - 2*d**2 - 6*d - 7 What is the n'th term of 469, 467, 455, 427, 377, 299, 187? -n**3 + n**2 + 2*n + 467 What is the u'th term of -49, -84, -137, -208, -297? -9*u**2 - 8*u - 32 What is the r'th term of -314, -311, -308? 3*r - 317 What is the m'th term of 4, 79, 166, 271, 400, 559, 754, 991? m**3 + 68*m - 65 What is the f'th term of -66, -63, -58, -51, -42? f**2 - 67 What is the o'th term of -920, -928, -950, -992, -1060, -1160? -o**3 - o**2 + 2*o - 920 What is the k'th term of 12, 57, 106, 159, 216, 277? 2*k**2 + 39*k - 29 What is the x'th term of 243, 256, 271, 288, 307? x**2 + 10*x + 232 What is the i'th term of -422, -423, -424? -i - 421 What is the l'th term of 17, 66, 147, 260? 16*l**2 + l What is the p'th term of -136, -130, -124, -118, -112? 6*p - 142 What is the z'th term of 26, 40, 54, 68? 14*z + 12 What is the p'th term of 11, 36, 61, 86, 111? 25*p - 14 What is the p'th term of 432, 3601, 12206, 28965, 56596, 97817, 155346, 231901? 453*p**3 - 2*p - 19 What is the p'th term of 31, 17, -5, -35? -4*p**2 - 2*p + 37 What is the x'th term of 79, 152, 227, 304, 383, 464, 547? x**2 + 70*x + 8 What is the p'th term of 2350, 4711, 7084, 9475, 11890, 14335, 16816, 19339? p**3 + 2354*p - 5 What is the g'th term of -400, -394, -386, -376, -364, -350, -334? g**2 + 3*g - 404 What is the y'th term of 116, 120, 124, 128? 4*y + 112 What is the i'th term of -32, -30, -26, -20? i**2 - i - 32 What is the v'th term of 8, 31, 58, 89? 2*v**2 + 17*v - 11 What is the g'th term of -168, -173, -176, -177, -176, -173? g**2 - 8*g - 161 What is the j'th term of 190, 186, 182, 178? -4*j + 194 What is the x'th term of -1720, -1719, -1718, -1717, -1716, -1715? x - 1721 What is the m'th term of 6910, 6909, 6908? -m + 6911 What is the h'th term of 484, 731, 992, 1273, 1580? h**3 + h**2 + 237*h + 245 What is the h'th term of 1372, 1370, 1368, 1366, 1364? -2*h + 1374 What is the t'th term of -53, -102, -151, -200, -249? -49*t - 4 What is the r'th term of -4, 17, 58, 119, 200, 301, 422? 10*r**2 - 9*r - 5 What is the a'th term of -69, -173, -277? -104*a + 35 What is the b'th term of -207, -1537, -5147, -12177, -23767, -41057, -65187, -97297? -190*b**3 - 17 What is the l'th term of -62, -64, -66, -68, -70? -2*l - 60 What is the u'th term of 10, -12, -116, -344, -738, -1340? -7*u**3 + u**2 + 24*u - 8 What is the b'th term of -24, -8, 4, 12, 16, 16, 12? -2*b**2 + 22*b - 44 What is the b'th term of -2190, -2191, -2192? -b - 2189 What is the c'th term of 75, 271, 597, 1053, 1639, 2355, 3201? 65*c**2 + c + 9 What is the j'th term of 1375, 1381, 1391, 1405, 1423, 1445, 1471? 2*j**2 + 1373 What is the i'th term of 23, 16, 9, 2, -5, -12? -7*i + 30 What is the k'th term of -1504, -1503, -1502, -1501, -1500? k - 1505 What is the c'th term of -30, -32, -34, -36, -38, -40? -2*c - 28 What is the m'th term of -493, -493, -491, -487, -481? m**2 - 3*m - 491 What is the o'th term of -10, -16, -20, -22? o**2 - 9*o - 2 What is the r'th term of -214, -212, -208, -202? r**2 - r - 214 What is the r'th term of 51, 92, 135, 180? r**2 + 38*r + 12 What is the l'th term of 1475, 1476, 1477, 1478, 1479, 1480? l + 1474 What is the h'th term of 881, 1777, 2675, 3575, 4477, 5381, 6287? h**2 + 893*h - 13 What is the y'th term of 490, 478, 448, 394, 310, 190, 28? -y**3 - 3*y**2 + 4*y + 490 What is the i'th term of 46, 62, 78? 16*i + 30 What is the g'th term of 13, 61, 147, 277, 457, 693? g**3 + 13*g**2 + 2*g - 3 What is the b'th term of -17, -27, -27, -11, 27? b**3 - b**2 - 14*b - 3 What is the l'th term of -91, -72, -35, 20, 93? 9*l**2 - 8*l - 92 What is the g'th term of 1308, 1306, 1304, 1302, 1300, 1298? -2*g + 1310 What is the k'th term of 1687, 3333, 4981, 6631, 8283, 9937, 11593? k**2 + 1643*k + 43 What is the y'th term of -45, -71, -79, -69, -41, 5, 69? 9*y**2 - 53*y - 1 What is the k'th term of 384, 763, 1138, 1509, 1876, 2239? -2*k**2 + 385*k + 1 What is the o'th term of 16, -14, -64, -134, -224, -334? -10*o**2 + 26 What is the z'th term of 54, 71, 88, 105, 122, 139? 17*z + 37 What is the l'th term of -270, -259, -226, -159, -46, 125, 366, 689? 2*l**3 - l**2 - 271 What is the w'th term of 100, 205, 310, 415? 105*w - 5 What is the o'th term of -344, -338, -328, -314, -296, -274? 2*o**2 - 346 What is the c'th term of -2341, -4687, -7033, -9379, -11725, -14071? -2346*c + 5 What is the b'th term of 200, 198, 196, 194, 192, 190? -2*b + 202 What is the g'th term of 104, 96, 78, 44, -12, -96, -214, -372? -g**3 + g**2 - 4*g + 108 What is the o'th term of 65, 223, 479, 827, 1261, 1775, 2363, 3019? -o**3 + 55*o**2 + 11 What is the q'th term of -13, -25, -37, -43, -37, -13? q**3 - 6*q**2 - q - 7 What is the w'th term of -297, -293, -289? 4*w - 301 What is the t'th term of -58, -53, -50, -49, -50? -t**2 + 8*t - 65 What is the w'th term of 8, 8, -12, -70, -184, -372? -3*w**3 + 8*w**2 - 3*w + 6 What is the w'th term of 36, 95, 202, 363, 584? w**3 + 18*w**2 - 2*w + 19 What is the u'th term of -77, -299, -669, -1187, -1853? -74*u**2 - 3 What is the x'th term of -8, -10, -12, -14? -2*x - 6 What is the g'th term of -780, -1561, -2342, -3123? -781*g + 1 What is the l'th term of -29, -23, -21, -29, -53, -99? -l**3 + 4*l**2 + l - 33 What is the q'th term of 2957, 5914, 8871, 11828, 14785? 2957*q What is the r'th term of 960, 1928, 2904, 3894, 4904, 5940, 7008? r**3 - 2*r**2 + 967*r - 6 What is the l'th term of 12953, 25906, 38859? 12953*l What is the y'th term of -9, -15, -25, -39, -57, -79, -105? -2*y**2 - 7 What is the p'th term of -205, -403, -599, -793? p**2 - 201*p - 5 What is the j'th term of 20, 58, 130, 242, 400? j**3 + 11*j**2 - 2*j + 10 What is the c'th term of 4570, 4569, 4568? -c + 4571 What is the n'th term of -12, -1, 14, 33, 56? 2*n**2 + 5*n - 19 What is the k'th term of -231, -233, -235? -2*k - 229 What is the o'th term of -128, -516, -1162, -2066, -3228, -4648? -129*o**2 - o + 2 What is the m'th term of -29788, -29790, -29792? -2*m - 29786 What is the x'th term of 1386, 1388, 1390, 1392, 1394, 1396? 2*x + 1384 What is the t'th term of 22, 72, 156, 274? 17*t**2 - t + 6 What is the g'th term of 13, 29, 47, 61, 65? -g**3 + 7*g**2 + 2*g + 5 What is the t'th term of -2241, -2236, -2227, -2214, -2197, -2176? 2*t**2 - t - 2242 What is the u'th term of 6, 0, 0, 12, 42, 96, 180? u**3 - 3*u**2 - 4*u + 12 What is the j'th term of 99, 202, 313, 438, 583, 754, 957, 1198? j**3 - 2*j**2 + 102*j - 2 What is the v'th term of -16, -30, -54, -88? -5*v**2 + v - 12 What is the g'th term of 435, 437, 439, 441? 2*g + 433 What is the j'th term of -122, -475, -1052, -1847, -2854, -4067? j**3 - 118*j**2 - 6*j + 1 What is the z'th term of -44, -165, -366, -647? -40*z**2 - z - 3 What is the s'th term of 26, 38, 50, 62? 12*s + 14 What is the o'th term of 3, 28, 81, 168, 295? o**3 + 8*o**2 - 6*o What is the m'th term of 591, 584, 575, 564, 551? -m**2 - 4*m + 596 What is the v'th term of -33, 22, 113, 240, 403, 602? 18*v**2 + v - 52 What is the i'th term of 164, 159, 154, 149, 144? -5*i + 169 What is the o'th term of -28, -58, -102,
{ "pile_set_name": "DM Mathematics" }
-26100 What is 1.925288261 rounded to three decimal places? 1.925 What is 603243.078 rounded to the nearest ten thousand? 600000 What is -0.014325791 rounded to four decimal places? -0.0143 Round 50656824.5 to the nearest ten thousand. 50660000 What is 0.6903470155 rounded to 2 decimal places? 0.69 Round 0.000568892831 to six decimal places. 0.000569 Round 0.000000022354956 to seven decimal places. 0 Round -775379.9114 to the nearest one thousand. -775000 Round -39732106.86 to the nearest 10000. -39730000 Round -0.00836626698 to 5 dps. -0.00837 What is 8.575298519 rounded to 3 decimal places? 8.575 Round -52359.3 to the nearest one hundred. -52400 What is -0.0015454573 rounded to 6 decimal places? -0.001545 What is 0.000263158409 rounded to 7 dps? 0.0002632 What is 682021490 rounded to the nearest one hundred thousand? 682000000 Round -0.00000586332582 to six dps. -0.000006 Round -1401.88655 to the nearest integer. -1402 What is 3268056440 rounded to the nearest one million? 3268000000 Round -619807.299 to the nearest one thousand. -620000 What is -490.39763 rounded to the nearest one hundred? -500 What is 151.596433 rounded to the nearest ten? 150 Round 19.9714991 to the nearest integer. 20 Round -11705267.713 to the nearest 100000. -11700000 What is 0.00292056507 rounded to five decimal places? 0.00292 Round -1387044.03 to the nearest one thousand. -1387000 What is -7.3171919 rounded to zero dps? -7 Round 569037.68 to the nearest one thousand. 569000 Round 0.07678784419 to three dps. 0.077 Round -0.00038710637 to seven dps. -0.0003871 What is -3436553496 rounded to the nearest 1000000? -3437000000 Round -123267501 to the nearest ten thousand. -123270000 What is -49089.56235 rounded to the nearest 10000? -50000 Round -497.17365 to 1 dp. -497.2 Round -0.00005740961697 to five dps. -0.00006 What is -1151.802012 rounded to one dp? -1151.8 What is 11551783.8 rounded to the nearest 1000000? 12000000 Round -0.66039807 to 3 dps. -0.66 Round -47476604.8 to the nearest one hundred thousand. -47500000 What is -556614.168 rounded to the nearest 10? -556610 Round -13.30591699 to three dps. -13.306 What is 0.28565427 rounded to 4 decimal places? 0.2857 What is 0.0004510109 rounded to six dps? 0.000451 Round -5505.14618 to the nearest one hundred. -5500 What is -259.3281057 rounded to three decimal places? -259.328 What is -120025903 rounded to the nearest 1000000? -120000000 Round 33.5610396 to 2 decimal places. 33.56 Round -154391.001 to the nearest 10000. -150000 Round 1.169876105 to 1 decimal place. 1.2 Round 4409.898 to the nearest one thousand. 4000 Round 0.0005649001496 to 4 dps. 0.0006 Round -99.8762567 to the nearest integer. -100 What is 0.05108576581 rounded to 3 decimal places? 0.051 What is 761.52647 rounded to the nearest ten? 760 What is -39623796.23 rounded to the nearest one thousand? -39624000 What is 0.01736595973 rounded to 6 decimal places? 0.017366 Round -7160.87124 to 0 decimal places. -7161 What is -0.000010705739 rounded to five dps? -0.00001 Round 4443689020 to the nearest 1000000. 4444000000 What is -6493815.5 rounded to the nearest 100000? -6500000 Round -0.0000224347271 to six decimal places. -0.000022 What is -248049743 rounded to the nearest one million? -248000000 What is 0.08132358 rounded to 2 dps? 0.08 What is 0.0191335868 rounded to six decimal places? 0.019134 What is -6250516.4 rounded to the nearest one hundred thousand? -6300000 Round -0.11048900886 to six dps. -0.110489 What is 45781911.61 rounded to the nearest 1000? 45782000 Round -0.006191436583 to 4 dps. -0.0062 What is 5.494889831 rounded to one dp? 5.5 What is -0.0000020211098 rounded to seven dps? -0.000002 Round 0.00251974316 to five dps. 0.00252 Round -32085.369 to the nearest 10. -32090 Round -1374660.1 to the nearest 10000. -1370000 Round -0.00942237442 to 3 decimal places. -0.009 What is 1554.37447 rounded to the nearest 100? 1600 What is 0.1719686532 rounded to two decimal places? 0.17 What is -32421739.3 rounded to the nearest 100000? -32400000 What is -0.0000074080748 rounded to seven decimal places? -0.0000074 Round 0.01320529133 to 6 decimal places. 0.013205 Round 48483.82 to the nearest 10000. 50000 What is -196506.379 rounded to the nearest 10000? -200000 What is -3822.7401 rounded to the nearest one hundred? -3800 Round -0.0189266471 to 6 dps. -0.018927 Round 1793522716 to the nearest one hundred thousand. 1793500000 What is -0.2648205583 rounded to two dps? -0.26 Round 0.00028157789 to 5 dps. 0.00028 Round 58470.9192 to the nearest 10. 58470 What is -0.0002184816315 rounded to five decimal places? -0.00022 Round 31150.52614 to the nearest ten thousand. 30000 What is -2.2866000152 rounded to five dps? -2.2866 Round -0.00134871849 to 6 decimal places. -0.001349 What is -5.793924 rounded to one decimal place? -5.8 Round -3723.634187 to the nearest one thousand. -4000 Round 0.0000898124522 to 7 decimal places. 0.0000898 What is -7574822.85 rounded to the nearest one thousand? -7575000 Round -0.00005263001 to seven decimal places. -0.0000526 Round 0.0004620142598 to 5 dps. 0.00046 Round 0.00057542411 to four dps. 0.0006 Round 0.0159819812 to five dps. 0.01598 Round -0.004959631786 to 7 dps. -0.0049596 What is 1015797.1 rounded to the nearest 1000? 1016000 Round -2.207893 to two dps. -2.21 Round -512058436 to the nearest 100000. -512100000 What is -1936869198 rounded to the nearest 1000000? -1937000000 What is 3666390420 rounded to the nearest one hundred thousand? 3666400000 Round -0.001124903189 to four decimal places. -0.0011 Round -83157.968 to the nearest 10000. -80000 Round -0.2507236751 to 3 decimal places. -0.251 What is 80.4909852 rounded to the nearest ten? 80 What is -1078575.273 rounded to the nearest one hundred? -1078600 Round 0.13070696986 to 2 dps. 0.13 What is -99777.669 rounded to the nearest 10000? -100000 What is -9730087.5 rounded to the nearest 10000? -9730000 Round -852.4720521 to the nearest integer. -852 What is -25978.577 rounded to the nearest 10000? -30000 Round -0.010216385291 to four dps. -0.0102 What is 0.432039292 rounded to 2 dps? 0.43 Round 24626.3679 to the nearest ten thousand. 20000 What is 1903691.759 rounded to the nearest 100? 1903700 Round -19.7690049 to 3 dps. -19.769 Round -577.71158 to the nearest ten. -580 Round -705.76396 to the nearest integer. -706 What is 811911.19 rounded to the nearest ten thousand? 810000 Round 1.79230405 to 3 dps. 1.792 What is 332829370.14 rounded to the nearest one hundred thousand? 332800000 Round -0.0002009584278 to five dps. -0.0002 What is 94781.03184 rounded to the nearest 10? 94780 Round -0.736503202 to 4 dps. -0.7365 What is 46678754.6 rounded to the nearest 10000? 46680000 Round -741763280 to the nearest 1000000. -742000000 Round -0.0000480218458 to five decimal places. -0.00005 Round 101279680.28 to the nearest ten thousand. 101280000 What is -0.001073463152 rounded to 6 dps? -0.001073 Round -38241.58 to the nearest ten thousand. -40000 Round 0.000000509976372 to seven decimal places. 0.0000005 What is 21751199.3 rounded to the nearest one hundred thousand? 21800000 What is 0.00003460114629 rounded to six dps? 0.000035 What is -622455384.9 rounded to the nearest 1000000? -622000000 Round -1149.8276678 to 1 decimal place. -1149.8 Round 0.733907811 to 2 decimal places. 0.73 Round 140440.1144 to the nearest one hundred thousand. 100000 What is -0.163457981 rounded to 2 decimal places? -0.16 Round 87554.1333 to the nearest ten. 87550 What is 965184.8676 rounded to the nearest 100000? 1000000 What is 3809.808 rounded to the nearest one thousand? 4000 Round 15289464.2 to the nearest one thousand. 15289000 Round -127370013 to the nearest 100000. -127400000 Round 0.0000010312665844 to 7 dps. 0.000001 Round 1.23241994 to four dps. 1.2324 What is 0.120231933 rounded to two dps? 0.12 What is -0.141974624 rounded to five decimal places? -0.14197 What is -7857792970 rounded to the nearest one hundred thousand? -7857800000 Round 0.0013370969 to six dps. 0.001337 Round 0.005874262 to 5 dps. 0.00587 Round -0.072728865 to 3 decimal places. -0.073 Round -311624.5221 to the nearest ten. -311620 Round -0.0000678143247 to six dps. -0.000068 What is 7910800.2 rounded to the nearest one mi
{ "pile_set_name": "DM Mathematics" }
0.9053 to one decimal place. 0.9 What is -1541170 rounded to the nearest one hundred thousand? -1500000 What is -764210 rounded to the nearest 10000? -760000 What is -0.0013841 rounded to three dps? -0.001 Round -1499 to the nearest one hundred. -1500 What is -0.0017826 rounded to four dps? -0.0018 Round -39.668 to the nearest ten. -40 What is 15 rounded to the nearest integer? 15 Round -0.00002712 to 6 dps. -0.000027 Round 9210000 to the nearest one million. 9000000 Round 13.365 to the nearest integer. 13 Round 1128000 to the nearest 1000000. 1000000 Round 0.03576 to three decimal places. 0.036 What is -3639610 rounded to the nearest ten thousand? -3640000 Round -32600 to the nearest 10000. -30000 What is -4.25 rounded to the nearest 100? 0 Round 112850 to the nearest 10000. 110000 What is 103893 rounded to the nearest one thousand? 104000 Round -0.000096 to four dps. -0.0001 Round -410780 to the nearest one hundred thousand. -400000 What is -9227 rounded to the nearest 100? -9200 What is -81370 rounded to the nearest 10000? -80000 What is 0.02001 rounded to three decimal places? 0.02 What is 17787.1 rounded to the nearest 100? 17800 What is -23500 rounded to the nearest 100? -23500 What is 59570 rounded to the nearest ten thousand? 60000 What is 143000 rounded to the nearest ten thousand? 140000 What is -0.000000172 rounded to 7 decimal places? -0.0000002 Round -0.5457 to 2 dps. -0.55 Round 56.2 to the nearest integer. 56 What is 0.0007386 rounded to six decimal places? 0.000739 What is 168.79 rounded to the nearest integer? 169 What is 0.01256 rounded to three decimal places? 0.013 What is -0.0012319 rounded to 4 decimal places? -0.0012 Round 0.09245 to 3 decimal places. 0.092 What is 5160 rounded to the nearest one thousand? 5000 Round 14120000 to the nearest 100000. 14100000 What is 0.00000345861 rounded to 7 decimal places? 0.0000035 What is 88570 rounded to the nearest one thousand? 89000 What is -0.2776 rounded to one decimal place? -0.3 Round 6128.3 to the nearest 1000. 6000 Round -81000000 to the nearest one million. -81000000 What is 53487 rounded to the nearest one thousand? 53000 Round -0.00001663 to 6 decimal places. -0.000017 What is 727770 rounded to the nearest 100000? 700000 What is -44500 rounded to the nearest 1000? -45000 What is -0.000011981 rounded to seven decimal places? -0.000012 Round -38.7 to zero dps. -39 Round -820 to the nearest ten. -820 What is 0.024127 rounded to three decimal places? 0.024 What is -0.00097 rounded to four dps? -0.001 Round 926400 to the nearest one hundred thousand. 900000 What is -0.01057 rounded to 3 dps? -0.011 What is 1480 rounded to the nearest ten? 1480 What is -0.59 rounded to 1 decimal place? -0.6 Round -17049 to the nearest one thousand. -17000 Round 3881300 to the nearest one hundred thousand. 3900000 Round -0.00022547 to five decimal places. -0.00023 Round 1870.46 to the nearest 100. 1900 Round -6682 to the nearest one thousand. -7000 What is 23670 rounded to the nearest 1000? 24000 What is 54628 rounded to the nearest one thousand? 55000 What is 0.001946 rounded to three dps? 0.002 Round -15552 to the nearest 1000. -16000 Round 5858.9 to the nearest one hundred. 5900 What is -0.000071052 rounded to five decimal places? -0.00007 What is 0.0030877 rounded to five dps? 0.00309 What is 0.048103 rounded to 4 dps? 0.0481 Round 4786000 to the nearest ten thousand. 4790000 Round 301.88 to the nearest 100. 300 What is -4269 rounded to the nearest one thousand? -4000 What is 1.814 rounded to 2 decimal places? 1.81 What is 1491.7 rounded to the nearest ten? 1490 What is 758800 rounded to the nearest ten thousand? 760000 Round -280750 to the nearest 1000. -281000 What is -259500 rounded to the nearest ten thousand? -260000 What is 0.000057144 rounded to six dps? 0.000057 Round -0.0076352 to 3 dps. -0.008 What is 0.00001304 rounded to 6 decimal places? 0.000013 What is 1654990 rounded to the nearest 100000? 1700000 Round -6.1016 to 1 decimal place. -6.1 What is -0.000001559 rounded to 7 dps? -0.0000016 Round -0.00130552 to 4 decimal places. -0.0013 Round -0.03195 to 3 dps. -0.032 Round 547.4 to the nearest ten. 550 Round 0.001635 to four decimal places. 0.0016 Round 0.0002833 to 3 decimal places. 0 Round 93480 to the nearest 1000. 93000 Round -9298500 to the nearest one hundred thousand. -9300000 What is -39770000 rounded to the nearest one million? -40000000 Round -8.85 to the nearest integer. -9 What is -0.00122311 rounded to 5 decimal places? -0.00122 What is -0.000463 rounded to four decimal places? -0.0005 Round 0.017673 to three dps. 0.018 Round 3763000 to the nearest 100000. 3800000 What is -311 rounded to the nearest 100? -300 What is 0.000002733 rounded to six decimal places? 0.000003 Round 571700 to the nearest 10000. 570000 Round -5578200 to the nearest 10000. -5580000 Round 3833.5 to the nearest 10. 3830 Round 0.16287 to three decimal places. 0.163 Round -0.0686 to two decimal places. -0.07 Round -0.00022142 to six dps. -0.000221 Round -0.000052707 to six dps. -0.000053 Round 329.51 to the nearest 100. 300 Round -24.507 to the nearest integer. -25 Round -243700 to the nearest 10000. -240000 What is -58530000 rounded to the nearest 1000000? -59000000 What is 110000000 rounded to the nearest 1000000? 110000000 Round 2030.4 to the nearest one hundred. 2000 Round 0.000002165 to seven dps. 0.0000022 What is 0.000008096 rounded to 7 decimal places? 0.0000081 Round -693.04 to the nearest one hundred. -700 Round 35080 to the nearest one thousand. 35000 What is 23388 rounded to the nearest one thousand? 23000 What is -0.001101 rounded to four dps? -0.0011 What is 0.124 rounded to 1 decimal place? 0.1 What is 0.00139 rounded to four dps? 0.0014 What is -0.007403 rounded to three dps? -0.007 What is 11.566 rounded to the nearest integer? 12 Round -40330000 to the nearest 1000000. -40000000 What is 18.49 rounded to 0 dps? 18 What is 0.00626 rounded to 4 decimal places? 0.0063 What is 0.000106319 rounded to 5 decimal places? 0.00011 What is -0.000051274 rounded to seven dps? -0.0000513 What is 4.95 rounded to the nearest 10? 0 What is 21330000 rounded to the nearest 1000000? 21000000 Round -863000 to the nearest 1000000. -1000000 What is 84081 rounded to the nearest one thousand? 84000 What is -3764 rounded to the nearest 100? -3800 What is 31.998 rounded to the nearest integer? 32 What is -411670 rounded to the nearest 10000? -410000 What is 1859600 rounded to the nearest ten thousand? 1860000 What is 0.0041019 rounded to 4 decimal places? 0.0041 Round -0.019907 to four dps. -0.0199 Round 22900000 to the nearest one million. 23000000 Round -0.021047 to four dps. -0.021 What is -0.6214 rounded to 1 dp? -0.6 What is -23446000 rounded to the nearest one million? -23000000 Round 301.6 to the nearest 10. 300 Round 6360 to the nearest 100. 6400 What is 0.000003824 rounded to 6 decimal places? 0.000004 Round 0.10455 to 3 dps. 0.105 Round 0.188053 to 3 decimal places. 0.188 Round -58.041 to 1 decimal place. -58 What is -0.01903 rounded to two dps? -0.02 Round 0.0014359 to four decimal places. 0.0014 What is 58520000 rounded to the nearest one million? 59000000 Round -532000 to the nearest one hundred thousand. -500000 Round -767390 to the nearest 10000. -770000 Round -23654000 to the nearest one million. -24000000 Round -201780 to the nearest ten thousand. -200000 Round 19.899 to the nearest 10. 20 Round 0.090388 to two decimal places. 0.09 What is -2778000 rounded to the nearest 100000? -2800000 What is 111890 rounded to the nearest 1000? 112000 What is 0.000005501 rounded to 6 decimal places? 0.000006 What is -0.00002023 rounded to six dps? -0.00002 Round 69.475 to one decimal place. 69.5 What is -0.298249 rounded to 2 dps? -0.3 What is -90.2 rounded to zero dps? -90 Round 69.021 to the nearest integer. 69 Round 1962.4 to the nearest one thousand. 2000 Round 0.9286 to two decimal places. 0.93 What is 62.04 rounded to the nearest ten? 60 What is -119.03 rounded to 0 dps? -119 Round -1995.8 to the nearest ten. -2000 Round -0.93168 to two decimal places. -0.93 Round 75800 to the nearest ten thousand. 80000 What is 0.000009917 rounded to 7 decimal places? 0.0000099 What is -10298.6 rounded to the n
{ "pile_set_name": "DM Mathematics" }
1, -3014, -5281, -8430, -12599? -17926 What is next in -62319, -124658, -186997, -249336? -311675 What is next in -263, -248, -217, -164, -83? 32 What is next in -2, -101, -200, -299, -398? -497 What comes next: 14834, 59359, 133564, 237449, 371014? 534259 What comes next: -69, -1018, -3589, -8592, -16837? -29134 What comes next: 4122, 4443, 4764, 5085, 5406, 5727? 6048 What is next in 49300, 49365, 49430, 49495, 49560? 49625 What comes next: 66616, 66612, 66606, 66598, 66588, 66576? 66562 What is next in -9793, -9752, -9711, -9670? -9629 What is next in 109636, 109641, 109650, 109663, 109680, 109701? 109726 What is next in 115120, 460483, 1036090, 1841941? 2878036 What comes next: 18005, 18011, 18015, 18011, 17993, 17955, 17891? 17795 What comes next: 124730, 249440, 374148, 498854, 623558? 748260 What comes next: 38, 149, 310, 503, 710? 913 What is the next term in 271, 1015, 2249, 3973, 6187? 8891 What is next in 3027, 2940, 2853, 2766? 2679 What is next in -195, -710, -1521, -2622, -4007, -5670, -7605? -9806 What is next in -706, -2771, -6220, -11053, -17270? -24871 What is next in -430, -437, -448, -463, -482, -505, -532? -563 What is next in 59, -50, -187, -364, -593, -886, -1255, -1712? -2269 What is next in -745, -1072, -1399, -1726, -2053? -2380 What comes next: -272, -201, -106, 25, 204? 443 What comes next: 1151827, 1151834, 1151855, 1151896, 1151963? 1152062 What is the next term in -573, -929, -1263, -1569, -1841? -2073 What is next in 7, -26, -93, -206, -377, -618? -941 What is the next term in 185, 201, 219, 239, 261, 285, 311? 339 What is the next term in 33868, 67750, 101632? 135514 What is the next term in 124, -47, -432, -1139, -2276, -3951? -6272 What is the next term in 44318, 88559, 132800? 177041 What comes next: 13763, 27497, 41197, 54845, 68423? 81913 What comes next: 3102, 6142, 9182? 12222 What comes next: 103170, 206340, 309510, 412680, 515850, 619020? 722190 What is next in -14141, -14116, -14077, -14030, -13981, -13936? -13901 What is next in 6092, 6099, 6106, 6113? 6120 What is next in -130726, -130728, -130732, -130738, -130746, -130756? -130768 What is the next term in 19083, 38166, 57249, 76332, 95415, 114498? 133581 What is the next term in -29801, -29799, -29797, -29795, -29793, -29791? -29789 What comes next: 40, -161, -600, -1277, -2192? -3345 What is the next term in 20140, 40204, 60272, 80344, 100420? 120500 What comes next: -4833, -19274, -43321, -76974, -120233? -173098 What comes next: 9102, 18197, 27292, 36393, 45506, 54637, 63792, 72977? 82198 What comes next: -302, 526, 1356, 2188? 3022 What is the next term in -1041, -2025, -3009, -3993? -4977 What is next in 181954, 181956, 181958, 181960, 181962, 181964? 181966 What comes next: -1939, -7785, -17539, -31207, -48795, -70309? -95755 What comes next: -480984, -480976, -480964, -480948, -480928, -480904, -480876? -480844 What is next in 44, 136, 290, 506, 784, 1124? 1526 What is next in -721, -717, -719, -727, -741? -761 What comes next: 2827, 2833, 2845, 2863, 2887? 2917 What comes next: -389, -868, -1345, -1820, -2293? -2764 What is the next term in -15645, -31288, -46933, -62580? -78229 What is the next term in 69, 39, -217, -813, -1863? -3481 What comes next: 19898, 19901, 19904? 19907 What is the next term in 93, 132, 171, 210, 249? 288 What is the next term in 2678, 2663, 2648? 2633 What comes next: -210, -236, -258, -276, -290, -300? -306 What comes next: 1417, 5689, 12803, 22759, 35557, 51197, 69679? 91003 What comes next: 286, 1040, 2276, 3994, 6194, 8876? 12040 What is next in -2345, -2542, -2869, -3326, -3913? -4630 What is next in 8860, 8845, 8806, 8731, 8608? 8425 What comes next: 3512, 3778, 4044, 4310? 4576 What comes next: -12428, -49701, -111822, -198791? -310608 What is next in -552, -634, -768, -954? -1192 What comes next: -135, -536, -1199, -2124, -3311? -4760 What is next in -2025, -1921, -1817, -1713? -1609 What comes next: -926, -1875, -2814, -3737, -4638, -5511, -6350? -7149 What is the next term in -4338, -8644, -12948, -17250? -21550 What is next in 156861, 156858, 156853, 156846, 156837, 156826? 156813 What is next in 95805, 95810, 95815, 95820, 95825, 95830? 95835 What is next in 1399, 806, 213, -380, -973? -1566 What comes next: -20703, -82810, -186321, -331236, -517555, -745278, -1014405? -1324936 What is next in 520, 506, 498, 496, 500, 510, 526? 548 What comes next: 9185, 18381, 27577, 36773, 45969, 55165? 64361 What is next in 1327, 2226, 3725, 5824, 8523, 11822, 15721? 20220 What is next in -1940526, -1940533, -1940544, -1940559, -1940578, -1940601, -1940628? -1940659 What is the next term in -211, -1076, -2517, -4534? -7127 What comes next: -774, -1554, -2334? -3114 What comes next: 2178, 4309, 6440? 8571 What comes next: 1992, 1852, 1712, 1572, 1432, 1292? 1152 What is the next term in -7272983, -7272981, -7272977, -7272971, -7272963, -7272953, -7272941? -7272927 What is the next term in 4025, 32327, 109147, 258743, 505373? 873295 What comes next: -5181, -5158, -5135? -5112 What is the next term in 5894, 5889, 5884? 5879 What is next in -774223, -774224, -774225, -774226? -774227 What is next in -779046, -779038, -779030, -779022, -779014? -779006 What is the next term in -35818, -71621, -107420, -143215, -179006, -214793? -250576 What is the next term in -192, -324, -394, -402, -348? -232 What is next in -778, -1549, -2320, -3091? -3862 What is next in -10941, -10945, -10949? -10953 What is next in -92187, -92191, -92197, -92205, -92215, -92227? -92241 What comes next: -34, 148, 450, 872, 1414, 2076? 2858 What is next in 230103, 230105, 230107? 230109 What is the next term in 1838, 1834, 1830? 1826 What is next in -205, 204, 1303, 3434, 6939? 12160 What is next in 2474, 4994, 7514, 10034, 12554, 15074? 17594 What is next in 1, 64, 183, 358, 589, 876? 1219 What is the next term in 10538, 10472, 10406? 10340 What is the next term in 25500, 101983, 229454, 407913, 637360, 917795, 1249218? 1631629 What is next in -563, -4599, -15601, -37067, -72495, -125383, -199229? -297531 What is the next term in -5336, -10679, -16022, -21365? -26708 What is next in 149, 310, 483, 656, 817? 954 What is the next term in 51, 120, 185, 210, 159, -4, -315? -810 What comes next: 496609, 496608, 496607, 496606, 496605, 496604? 496603 What is next in 2091, 3996, 5901, 7806? 9711 What comes next: 38144, 38100, 37982, 37754, 37380, 36824? 36050 What comes next: 49282, 98563, 147844, 197125, 246406, 295687? 344968 What comes next: -1377, -1365, -1353, -1341, -1329, -1317? -1305 What is next in -2417, -4826, -7233, -9638, -12041, -14442? -16841 What is the next term in 1865, 3642, 5421, 7202? 8985 What comes next: 7999, 8713, 9413, 10093, 10747? 11369 What is next in 1119, 748, 377? 6 What is the next term in 2362, 2504, 2646, 2788, 2930? 3072 What is next in -14, 32, 78, 124, 170? 216 What is the next term in -532, -1198, -2140, -3496, -5404? -8002 What comes next: 54134, 54135, 54136, 54137? 54138 What comes next: 741, 1442, 2095, 2676, 3161, 3526, 3747? 3800 What comes next: -69, -332, -805, -1512, -2477, -3724? -5277 What is the next term in 842450, 1684896, 2527340, 3369782, 4212222, 5054660? 5897096 What is the next term in 20074, 20060, 20040, 20014, 19982, 19944, 19900? 19850 What comes next: 76878, 76875, 76872, 76869? 76866 What is the next term in 12810, 14073, 15322, 16551, 17754? 18925 What is the next term in 5567, 11146, 16725? 22304 What comes next: 6818325, 6818317, 6818295, 6818253, 6818185, 6818085, 6817947? 6817765 What is the next term in -5488, -10776, -16076, -21394, -26736, -32108? -37516 What is the next term in -3489, -6967, -10443, -13917, -17389, -20859, -24327? -27793 What is next in -146748, -293500, -440252, -587004, -733756? -880508 What is next in 385, 398, 433, 502, 617? 790 What is next in 11653, 46666, 105015, 186694, 291697, 420018? 571651 What is the next term in 108, 532, 1388, 2796, 4876, 7748, 11532, 16348? 22316 What is next in -143, -261, -361, -443? -507 What is the next term in -2492, -2503, -2510, -2507, -2488, -2447? -2378 What is the next term in 3999, 7706, 11413? 15120 What comes next: 0, 54, 132, 246, 408, 630, 924? 1302 What is next in -2496, -4975, -7440, -9885, -12304, -14691, -17040,
{ "pile_set_name": "DM Mathematics" }
(c) u a Suppose -315*n = -308*n + 14. Which is the nearest to -2/7? (a) n (b) -4 (c) 5 (d) 3 a Let q(l) = 6*l - 64. Let m be q(10). Which is the nearest to -2/5? (a) m (b) -1/2 (c) -29 b Suppose -a = -11*a - 50. What is the nearest to -46 in 3/8, a, -1? a Let y = -6 - -12. Let m(u) = -2*u**2 + 10*u - 14. Let j be m(2). What is the closest to j in 4, y, 0? 0 Suppose -z = -2*q - 14, 2*z - 6*q - 18 = -4*q. Let m be 226/1125*(-6)/8. Let a = m + -2/125. What is the nearest to -1/4 in z, 0.6, a? a Let w = 1152/7 - 165. Let s = -0.377 - -0.077. Which is the closest to -0.1? (a) s (b) 0.7 (c) w a Let w = 714 + -753. Which is the closest to 1? (a) w (b) -5 (c) -0.4 c Let v = -554 + 1663/3. Let b = 0.08 - 0.38. What is the closest to b in -5, 1, v? v Let l = -0.2 + 0. Let t = 0.2 - l. Let k = -0.33 + 2.33. What is the nearest to -0.1 in -0.1, t, k? -0.1 Suppose 8 = -8*w - 16. Let n be (-12)/(-36)*(0 + w). Which is the nearest to 0? (a) 0 (b) 2/7 (c) n a Let p = 168 + -500/3. What is the closest to 0 in p, -1, -89? -1 Let s = -3/721 - 1415/6489. What is the closest to s in -3, -1/24, -2? -1/24 Let x = 0.1 - 0.3. Let t = 0.0564 + -0.1564. Which is the closest to t? (a) x (b) 3 (c) 2/9 a Let t = 6.12 + -1.12. Which is the nearest to -1/12? (a) t (b) 0.4 (c) -5/6 b Let r = -0.47 - 25.53. Let d = r - -25.5. Which is the nearest to 2/7? (a) d (b) -0.1 (c) 0.3 c Suppose y = -y. Let r(u) = -u + 2. Let x be r(y). Suppose -x*q = -6*q. Which is the closest to -1/3? (a) q (b) -0.1 (c) -1 b Let x = 90.53 - 91. Let u = x + -0.03. Let r = 7.5 - 7.3. Which is the closest to r? (a) -3 (b) 0 (c) u b Let l = -0.157 + -0.043. What is the closest to 0.02 in -5, 0.2, l? 0.2 Let u = -1.05 + 0.05. Let y be (16/72)/(4/18). What is the nearest to y in u, 2/13, 0.3? 0.3 Let j = -0.8 - -1. Let h = -41.3 + 40.3. Which is the closest to h? (a) j (b) -0.2 (c) 0.08 b Let n = -82 - -85. Suppose 30 = -5*d - 5*w, 0*w - 3*w = -4*d + 11. What is the nearest to d in 5, n, -2/19? -2/19 Let s(h) = h + 2. Let a be s(2). Let v = 1105.951 + -1105. Let m = v + 0.049. What is the closest to 1 in a, m, -4? m Let x = 218 + -201.3. Let o = x - 2.7. Let z = -14.04 + o. Which is the closest to 1? (a) -2/3 (b) z (c) 0.3 c Let t = 1065/4 + -266. Which is the closest to -1? (a) t (b) -3/14 (c) -2/7 c Let g = 1 - 1. Let h = 1 + g. Let v = -0.3797 - -0.2797. What is the nearest to 1 in h, -1, v? h Let v = -0.08 + -0.02. Let z = -1.1 - v. Let l = -24 + 20. What is the closest to 0.3 in 5, z, l? z Let t = -16 - -20. Let y = t + -5. Let h = -2 + y. What is the nearest to 0 in -2/3, h, 2? -2/3 Let h = 0.02 + 20.98. Let s = 19 - h. What is the nearest to s in -3, 5, 0.3? -3 Let l = 0.0291 + -0.5291. What is the closest to l in 3, 2/9, -3, 3/4? 2/9 Let l be ((-1)/(-2))/((-4)/8). Let p be -4 + ((-14)/(-6) - l). What is the nearest to -1/2 in 1/5, p, 4? p Suppose -3*z = -4*z - 1. Let f be 40/4 - (-4)/z. Let c be f/(-4) - 26/(-20). What is the nearest to -1/2 in -0.3, c, 0.3? -0.3 Let n = -6.38 - -1.38. What is the closest to -1 in -4, -8, n? -4 Let n = -7 - -6. Let u = 53.6 + -53.6. Which is the closest to n? (a) u (b) 5 (c) -5 a Let s = 24.75 + -27.75. What is the nearest to s in 0, 2/7, 6/5? 0 Let v = 10.6 + -10. Let g = 197/935 - 2/187. What is the nearest to g in 3, -0.1, v? -0.1 Let p = -0.466 - -0.666. Which is the closest to 1/2? (a) 3/5 (b) 5/3 (c) p a Let w be (-234)/(-30) + -4 + 2 + -6. Let n = -0.6 - -0.3. Which is the nearest to n? (a) w (b) 1 (c) -2 a Let x = -141 - -1270/9. Let p be ((-2)/(-14) + 0)*2. Let r be ((-1)/6)/(4/6). Which is the closest to p? (a) 2 (b) x (c) r b Let i be 17/(-51)*(-18)/21. Which is the nearest to 0.04? (a) -0.4 (b) -0.1 (c) i (d) -0.5 b Let u = 0.1766 + -0.1966. Which is the closest to 1? (a) -2/15 (b) -3 (c) -4 (d) u d Let j = 0.41 + -0.51. Which is the nearest to -2? (a) 2/3 (b) j (c) 0.13 b Let m = 70.1 + -70.2. Which is the closest to 0.1? (a) 0 (b) -3 (c) m (d) -7/19 a Let y = -0.22 + 0.23. Let g = -0.02 - -0.03. Let m = g - y. Which is the closest to m? (a) -0.1 (b) -1 (c) 8 a Suppose 0 = -17*t + 10*t + 7. Let z = -0.63 - -0.23. What is the closest to t in 4, z, -4? z Let b = 8.79 + 0.21. Let l = 4 - b. Let m be ((-16)/(-40))/((-6)/5). What is the closest to m in 0.4, l, 5? 0.4 Suppose 5*k + 33 = -4*o, -o + 5*o + 3*k = -23. Let q be 6/6 + (3 - 2). Let p be o/8*(4 - q). Which is the nearest to p? (a) 1 (b) -0.4 (c) 2/5 b Let s = -6 + 4. Suppose 0 = -4*t - 9 + 1, -5*h - 38 = 4*t. Let w be (h/54)/(s/30). Which is the closest to -0.3? (a) -2/7 (b) -1 (c) w a Suppose 3*m - 24 = -5*y + 6, -2*y = 5*m - 31. Which is the closest to -0.1? (a) -0.3 (b) 2 (c) y (d) 4/5 a Let t = 31 - 28. Let k be ((-2)/t)/((-17)/102). Let m = -0.08 + -0.22. Which is the closest to 0.2? (a) k (b) m (c) 0.4 c Suppose f - 10 = 3*k, 4*k = f - 1 - 11. What is the closest to -1 in k, 0.3, -3? k Suppose 4*n + 9*r + 21 = 10*r, 2*n - 5*r = 3. Let u be -2 + 1 + -1 - (n - -1). Let g = -7 - -27/4. Which is the closest to -1? (a) 0.4 (b) g (c) u b Let i = 55/12 - 287/60. Let n = 0 + -4. Which is the nearest to -2/7? (a) n (b) i (c) 1/3 b Let n be (-6)/(-48) + (-27)/72. Which is the nearest to -2/3? (a) -1 (b) 0.08 (c) -4 (d) n a Let l = -25/7 - -218/63. Let p = 2.967 + 0.033. What is the closest to l in 3/2, p, -2? 3/2 Let w = -0.0526 - -0.4526. Which is the nearest to 3? (a) w (b) 3/2 (c) -1 (d) 4 d Let o be ((21/(-6))/(-7))/((-3)/2). Let m(g) = 4*g + 3. Let h be m(-2). Let j = 4.9 + 0.1. Which is the nearest to o? (a) h (b) -4 (c) j b Let z(j) = -j**3 + 2*j**2 - 5*j + 4. Let d be z(1). Let q = -12 - -12.1. What is the nearest to q in -0.04, d, -0.2? d Let a = -3.2 - -3. Let j = -8524 - -8521. What is the closest to 1 in a, -2/3, j? a Let s = 135 - 140. Which is the closest to 1? (a) 2/11 (b) 3 (c) s (d) -0.01 a Suppose y - 4*j = 5*y - 28, -2*j - 4 = -4*y. Let v(p) = p**3 - p**2 - 2*p - 1. Let b be v(y). Let a = -13 + b. What is the closest to 3 in 0, -4, a? 0 Suppose 81 = 5*d - 2*y, -36 = -3*d - 3*y - 0*y. Let t be 2/(-4)*10/d. Let l = -308/265 - 2/53. Which is the nearest to -2/3? (a) t (b) l (c) 0.1 a Let l = -737 - -737.2. Let c = 59/140 + -6/35. What is the closest to l in c, -4, 0.2? 0.2 Let p = -28.87 - 0.13. What is the nearest to -1/12 in -2, 0.1, p? 0.1 Let h = 2.793 + 0.007. Let q = 2.9 - h. Which is the closest to 0.3? (a) q (b) 6/7 (c) -4/9 a Let h = 7.45 - 7.45. What is the nearest to h in 0.2, 0.4, 0.1, 4? 0.1 Let t = -2/2181 + 731/4362. Which is the nearest to -2? (a) t (b) -33 (c) -3 c Let o = 0 - -1.6. Let u = o - 19.6. Let l = u - -17.9. What is the nearest to 0 in 4, -1/4, l? l Let m = 10.5 - 10.7. Let r be (-2)/(-5) + (-48)/150. Let u = r - -71/50. Which is the closest to m? (a) u (b) 0.04 (c) 1/6 b Let f be (2 + 6)*(-2)/(-28). Let y = -2/21 - f. What is the nearest to y in -12/7, -4/5, 3? -4/5 Suppose -2*o + 1 = 3. Let i be (10 + -10)/(o + 0). Suppose 3*u - 5 = -4*d, u + d = 4*u + 5. Which is the closest to 1? (a) i (b) -5 (c) u a Let o(w) = -3*w - 3. Let n = 6 + -8. Let v = n - 0. Let s be o(v). Which is the nearest to 1? (a) s (b) -5 (c) -3 a Let x(n) = 2*n**2 + 8*n + 4. Let h be x(-4). Let r be (-1)/((-1)/3)*h/6. Which is the closest to 0? (a) -1/4 (b) r (c) 0.5 a Let k = 636.4 - 696. Let m = k - -71. Let v = -11 + m. Which is the nearest to 2/7? (a) -0.5 (b) v (c) 5 b Suppose -2*d + t = -9, -4*d = 2*t - 0*t - 22. Let f = d - 4. Let c be (2 + (-57)/27)/(7/(-28)). What is the closest to f in c, -3/5, -1? c Let d = -21 - -8. Let t = d + 13.3. Suppose -6 = -4*w + 2. Which is the closest to -2/7? (a) w (b) -0.1 (c) t b Let z be (((-28)/10)/(-7))/(2/(-10)). Let h be (0 + z/(-12))*(-108)/(-24). What is the nearest to -0.1 in h, -2/11, 0.5? -2/11 Let o = 0 - -0.03. Let g = o + -5.03. Let j = g + 8. What is the closest to -0.2 in -1/5, 1/3, j? -1/5 Let a = 11/2 - 5. Let g(i) = -i**3 - 5*i**2 + i + 7. Let r be g(-5). Let x = 12/565 - 613/2260. What is the nearest to x in a, 0.4, r? 0.4 Let f = 2.3 - 2.4. What is the nearest to f in -1/3, 0.5, 4/9? -1/3 Let u = 1243 + -1232. Which is the closest to -3? (a) -2 (b) 0 (c) u a Let t = 0.488 + -0.588. Which is
{ "pile_set_name": "DM Mathematics" }
0.5 Let d = 0.01 + -0.41. Let w = -5 - -3. What is the nearest to -1 in w, 4, d? d Let q be (516/9)/(-2) + 2. Let r = 26 + q. Let o be 8/32 - (-14)/24. Which is the closest to r? (a) 2 (b) o (c) 5 b Let h = 0.04 - 0.54. Let l = -0.391 + -0.009. Let w = 7 + -4. Which is the closest to 2? (a) l (b) w (c) h b Let k be 1 + -1 + (-2)/8. Let m(r) = r**2 - 3*r - 2. Let u be 2/(-4) + 18/4. Let l be m(u). What is the closest to 1 in -4, k, l? l Let o = 31.4 + -31.3. Let r = 8 - 8.3. Which is the closest to o? (a) -1 (b) 0 (c) r b Let k be 2/(-6)*1 - -1. Let i = 34/9 + -77/18. Let h = -3 + 4. Which is the nearest to i? (a) -0.3 (b) h (c) k a Let z = -11 + 7. Let r be (3/(-33))/(2/z). Suppose -4*h + 4 = 0, 4*i = -h - 22 + 7. What is the closest to -1 in r, 0.1, i? 0.1 Let r = -0.05 - -0.55. Which is the nearest to 0? (a) r (b) -0.3 (c) 0.02 c Let i = 165 + -179. What is the nearest to -1 in -1/2, i, 0.4? -1/2 Let u = 1.5 - 1.4. What is the closest to u in 5, -1/4, -2? -1/4 Let p be (-13)/8 + (-1 - -3). Let g = -2/183 - 40/61. Which is the nearest to g? (a) -1/4 (b) p (c) 5 a Let t = -6 + 6.1. Let s = 0.3 + -0.4. Let w = -0.05 + 2.05. Which is the closest to t? (a) s (b) w (c) -2 a Let l = -0.4 + 1.4. Which is the nearest to l? (a) -2/13 (b) 4 (c) -5 a Let q = 2 + 1. Let p = 4 - 16. Let v = 8 + p. What is the closest to 0.1 in q, -1/5, v? -1/5 Let j = 23/5 + -22/5. Let r = 1.1 - 1. What is the nearest to r in j, 0.3, -1? j Suppose -5*t = -7 + 2. What is the closest to 0 in t, 4, -1/5? -1/5 Let h(n) = n + 1. Let j be h(-4). Let p be (-11)/(-2) + (-10 - -7). Which is the nearest to 1/5? (a) p (b) 1 (c) j b Let d be 4/40*15/(-2). Which is the closest to -2? (a) d (b) 0 (c) 3 a Let d = -5.9 - 0.1. Let i = d - -6.5. Which is the closest to -1? (a) i (b) 1 (c) -1 c Let c = 2.53 + -0.53. Let d = 0.1 + -3.1. What is the closest to 1/4 in d, 0, c? 0 Let l = 0.054 - 0.154. What is the nearest to 2/5 in -2/5, l, 2/3? 2/3 Let m = 13 - 12.9. What is the nearest to m in 2/19, -5, -0.2? 2/19 Let m = 2 + 3. Let p = -3.94 + -0.06. What is the nearest to 1/4 in m, p, -0.5? -0.5 Suppose 2*q = -4*q + 18. Which is the closest to 0? (a) q (b) 1/10 (c) -2/5 b Let q = 49 - 45. Which is the nearest to -1? (a) 0.1 (b) q (c) -1 c Suppose 3*y + f + 0 - 6 = 0, 3*y - 5*f - 6 = 0. What is the closest to y in 0.3, 0.1, 2/19? 0.3 Let w = 4 - 29/7. Let y = -4 - -6. What is the nearest to 0.1 in w, y, 0.1? 0.1 Let j = -9 - -2. Let g = j + 9. Let t = -5.1 - -5. Which is the nearest to 0.04? (a) -4 (b) g (c) t c Let s be ((-5)/35)/(1/(-2)). Which is the nearest to 3? (a) s (b) 0 (c) 4/3 c Let i = -0.3 - 0.1. Let p = 0 - 0.1. Let x = 0.12 + -0.12. What is the closest to p in i, -4, x? x Let z be -3 + -3 + (-31)/(-5). Let q = -113 - -111.04. Let m = q - 0.04. Which is the nearest to 0? (a) -2/7 (b) z (c) m b Let y = 14 - 18. What is the nearest to -0.1 in 0.5, 0, y? 0 Let o = -2/17 - 8/221. Let r = -68 + 474/7. Which is the nearest to r? (a) o (b) 3 (c) -0.1 a Let v = -165 - -162. Suppose 3*l = 2*l - 1. Which is the nearest to 2? (a) -0.2 (b) l (c) v a Let h be (-3)/(-2)*2/(-12). Let v = 1.8 + -1.6. Which is the nearest to h? (a) v (b) -0.5 (c) -1 b Suppose 5*j - n + 6 = -4*n, 4*j - 3*n = -21. Let z = 4 + j. Let a be -1*(0 - 2/14). What is the nearest to z in a, 1/2, -0.4? 1/2 Let j be (2/(-10))/(2 - 1). Let y = -0.6 + 2.6. What is the closest to -1/4 in -3, y, j? j Let k = 0.7 + -0.4. Let v = 4 - 3. Let x = -0.09 - 4.91. Which is the closest to v? (a) 2 (b) x (c) k c Let l = 4.55 - 0.55. Which is the nearest to -3/4? (a) l (b) 0.5 (c) -0.3 c Let s = 1.3 + -0.3. Let t = 0.31 + -0.01. Let w = 0.03 - -1.97. What is the nearest to s in t, w, -1/4? t Let j = -9 - -24. Let x = 10 - j. What is the closest to -2 in -2, 0.3, x? -2 Let l = -1 - -0.7. Let t = 0.13 - 5.13. What is the closest to 1/4 in l, 0.2, t? 0.2 Let n = 0.2 + 2.8. Let z = n - 3.4. What is the nearest to 2/7 in z, 3/7, 4/5? 3/7 Let i = 0.4 - -0.1. Let x = 184 + -918/5. Which is the closest to 0? (a) 0.1 (b) x (c) i a Let z = -3 + 0. Let h = z + 2.6. Let k = h + -0.1. What is the nearest to 0.1 in k, -1, -0.2? -0.2 Let x = 3/6614 - -82477/436524. Let h = x + 2/33. Which is the nearest to h? (a) -4 (b) -2/7 (c) 0.4 c Let a be 2 - (-5)/(5/(-6)). Let l be (-8)/18 - (-2)/(-9). What is the nearest to 0 in -2, l, a? l Let j be 5/(50/6) - (-161)/(-210). Which is the closest to -1? (a) 2/3 (b) j (c) 14 b Suppose 25 = -5*z + c, 4 = -z + c - 1. What is the closest to -0.1 in -0.2, -0.4, z? -0.2 Let d = 25 - 26. Which is the nearest to d? (a) -1/4 (b) 1 (c) -1 c Suppose 0 = 4*y - 8 - 4. Suppose -y*w = -w - 2. Which is the closest to w? (a) 1 (b) 2 (c) -1/4 a Let w = 6/223 + -536/3345. Which is the closest to -2? (a) 0.2 (b) 0.1 (c) w c Let t = -0.2 - -0.3. Let l = -2.19 - -2. Let u = 0.01 - l. What is the closest to t in 0.4, 0.1, u? 0.1 Let n(p) = -p**3 + 8*p**2 + 10*p - 13. Let x be n(9). Let w = 5.08 + -5. Let g = -0.38 + w. What is the nearest to 2 in x, g, -3? g Let n = 161/195 - 1/39. What is the nearest to -2 in n, -1/5, -4? -1/5 Let f(l) = l**2 + 3*l - 4. Let r be f(-4). Let t = -167 - -165. Which is the nearest to t? (a) -3/7 (b) r (c) -3/5 c Let g be -2 - -3 - -1*1. Suppose g = -0*x - 2*x. Let t be 2/(-13) + 132/1053*3. Which is the nearest to x? (a) -2/5 (b) -3 (c) t a Let g = 2 + 2. Let p = g - 6. Suppose 3*s - 20 = -s. Which is the closest to p? (a) -0.3 (b) s (c) -0.2 a Let s = -2.2 + 4.2. Let x be (-2)/16*(0 + 2). What is the closest to -0.1 in 1/7, x, s? x Let i(r) = r**3 + 2*r**2 + 2*r + 2. Let n be i(-2). Let y(j) = -j**2 - 2*j. Let z be y(-2). Which is the closest to -2/7? (a) 2/3 (b) n (c) z c Let w = -138 + 143. Which is the closest to -1? (a) w (b) 2/5 (c) -2 c Suppose 4*r = -2*l + 326, -2*l + 276 + 75 = -r. Let f = l + -1209/7. Suppose -8 = -4*q - 0. Which is the nearest to 0? (a) f (b) q (c) -3 a Let u = -1.5 + -0.5. Suppose 2 = 4*r - 6. Let s = 21.9 + -22. What is the closest to s in 3, r, u? u Let y be 2/(-7) + (-64)/168. What is the nearest to y in 0.5, 1, 2? 0.5 Let k = -0.2 + 0.1. Let w = 0 - k. What is the nearest to 1 in 0, w, 3/5? 3/5 Let l = 0.14 + -0.84. Let s = l + 0.7. Which is the closest to s? (a) -3 (b) -4 (c) -5 a Let k = -0.1 - -0.2. Let y = -111 + 109. Which is the closest to k? (a) -5 (b) -1/6 (c) y b Suppose 9 = 18*n - 15*n. Which is the nearest to -0.1? (a) -2 (b) 5 (c) n a Let t = -2 - -1. Let p(o) = o + 1. Let y be p(-5). Let j be ((-2)/y)/(-2 + 4). Which is the nearest to 0? (a) j (b) t (c) -2/5 a Let z be (-4)/(-10) - (-22)/(-5). Let q be (-7)/((-63)/(-30)) + 4. Which is the nearest to q? (a) z (b) -0.1 (c) 5 b Let v = 0.5 - 2.4. Let o = 2 + v. Let i = 0 + -3. Which is the nearest to o? (a) 4 (b) i (c) 0 c Let z be 0 + -2 + -1 + (0 - -2). Let u(q) = -2*q - 7. Let n be u(-5). Suppose a - n*a = 10. What is the nearest to z in a, 2/5, 0.5? 2/5 Let k = -28 + 9. What is the closest to -0.1 in -0.3, k, -2? -0.3 Let x = 132 - 132.1. Let z be 4/(-6) - (-8)/30. Which is the nearest to x? (a) z (b) -3 (c) 3 a Let i be 44/(-70) + (-12)/(-28). Let j = 0.5 + -0.4. Which is the nearest to j? (a) -4/5 (b) -6 (c) i c Suppose 5*z = 3 + 22. Suppose o - 1 = -0*o, -z*o = 2*w - 5. Which is the nearest to 3/2? (a) w (b) -2/11 (c) 0.2 c Let u be (4/(-12))/((-1)/5). Let f = u + -4/3. What is the closest to 0.1 in f, -4, -2? f Let r = 3 + -4. Let g = 0.06 - 0.46. What is the closest to 1 in 0, g, r? 0 Let g = -7025 - -231844/33. Let t = -10/11 + g. Which is the closest to 0.1? (a) -5 (b) 0.4 (c) t b Let t = -0.43 + -0.07. Let f = 12 - 9. Which is the nearest to -1? (a) -0.4 (b) f (c) t c Let o = -49 - -49.12. Which is the closest to 0? (a) -0.1 (b) 5 (c) o a Let m = -300 - -304.98. Let i = 0.02 + m. Suppose -4 = 2*o - 4*r, 3*o + 2*r = -0*o + 10. What is the nearest to 0 in -3/2, i, o? -3/2 Let j = -0.34 + 0.14. Let v be 114/(-28)*(-22)/84. Let z = 9/49 + v. What is the nearest to j in z, 3, -1? -1 Let z = -76 - -78. Which is the closest to 0.2? (a) z (b) 0.2 (c) -2 b Let f be (-2)/8 + (-3)/12. Let u = -6 - -2. Which is the nearest to f? (a) 2/3 (b) 5 (c) u a Suppose 4*x - 19 =
{ "pile_set_name": "DM Mathematics" }
+ 209992, g - 125996 = j*r + r. Round r to the nearest 10000. -40000 Let a(f) = 9 - 2 - 1233332*f + 1. Let i be a(-6). Round i to the nearest one million. 7000000 Let i = -12 + 4. Let q = i - -5. Let p = q + 3.25. Round p to one dp. 0.3 Let i = 31989264 + -31989185.677332. Let f = 80.12266756 - i. Let z = 1.8 - f. Round z to 7 dps. 0.0000004 Let c = -14 + 7. Let j = c - -1. Let p = -5.4 - j. What is p rounded to the nearest integer? 1 Let g = -1.7 - -0.9. Let b = -1.6 + g. Let z = 2.39999935 + b. Round z to 7 dps. -0.0000007 Let l = -898.15 - -898.980041. Let t = 0.83 - l. What is t rounded to five dps? -0.00004 Let t = -7.993 + 8. Round t to 2 decimal places. 0.01 Let w(h) = -79010*h. Let b be w(-2). Suppose x + 5*c + b = 0, 3*x + 371777 = -3*c - 102235. What is x rounded to the nearest 10000? -160000 Let r = 4.8 + -3.63. Round r to 1 decimal place. 1.2 Let t = -7.9085 - 0.1215. Let g = -8 - t. Let j = g - 0.0307. What is j rounded to three decimal places? -0.001 Suppose 2*g - 13 = -v, -5*g - 5 = -3*v - 21. What is g rounded to zero decimal places? 5 Let o = 228461 + 141342. Let w = o + -249803. Suppose l + l = -w. Round l to the nearest 10000. -60000 Let d = 14720085 - 29324255. Let v = 14604276.00053 + d. Let s = 106 - v. What is s rounded to four dps? -0.0005 Let v = 1647805443 + -1648019244.0046. Let a = 213857 + v. Let l = -56 + a. What is l rounded to three dps? -0.005 Let f = 0.016 - 0.016159. What is f rounded to five decimal places? -0.00016 Let p = 392405 - -565207. Suppose 5*q + 5*k - 192408 - p = 0, -3*k - 919988 = -4*q. Round q to the nearest 100000. 200000 Let a be (-15)/(-2)*851400/(-27). Let f = a + 87500. Round f to the nearest 10000. -150000 Let v = -82.06 - -80. Let a = 2 + v. What is a rounded to one dp? -0.1 Suppose -1875131 = -3*h + 944860. Suppose -5*y - 470015 = -2*k, -5*k + k + h = y. What is k rounded to the nearest ten thousand? 240000 Let o = 0.21 - -0.64. Let z = -0.1 + o. What is z rounded to one decimal place? 0.8 Let u = -51 + 29. Let s = u - -21.999961. Round s to five dps. -0.00004 Let y = 1485 + -506. Let z = -1979 + y. What is z rounded to the nearest 1000? -1000 Let y = 35 - 35.00000033. Round y to 7 decimal places. -0.0000003 Suppose -2*c - 3*c - 622825 = 0. Let b = c - -201565. Round b to the nearest ten thousand. 80000 Let t = -2015 + 10115. What is t rounded to the nearest one thousand? 8000 Let j = 27.00000163 - 27. Round j to 7 decimal places. 0.0000016 Suppose 7*i - 2*i = -47000. Round i to the nearest one thousand. -9000 Let d = 0.1899 - 0.19. Round d to five dps. -0.0001 Let n = -73 - -72.949. What is n rounded to 2 dps? -0.05 Let d = 19.799 + -19.9. Let r = -0.10186 - d. What is r rounded to four decimal places? -0.0009 Let w(i) = 2*i**3 - 14*i**2 - 17*i - 6. Let s be w(14). Round s to the nearest one thousand. 3000 Let b = -0.217 + 0.007. Let y = b - -0.2. Let a = -0.00999 - y. What is a rounded to five dps? 0.00001 Let j = -6.83 - 0.07. Round j to the nearest integer. -7 Let s = -6 - -17. Let n = -7 + s. Let y = n + -4.15. Round y to 1 decimal place. -0.2 Let f(k) = k**2 - 14*k + 16. Let u be f(13). Suppose 2*w - 1588 = -u*j, 0*w + 3*j + 4012 = 5*w. Round w to the nearest 100. 800 Let i = 1.97 - -0.03. Let h = i - 0. Let k = h - 1.996. Round k to 3 decimal places. 0.004 Let j = 9 + -5. Suppose -4*l + j*r - r - 15 = 0, 4*r = 4*l + 20. Let w be 1 + (l - 0) + -17001. What is w rounded to the nearest ten thousand? -20000 Suppose -2*t - 27500004 = w, 4*t - 71516899 + 16516907 = 2*w. Round w to the nearest one million. -28000000 Let y(k) = -k**2 + k - 4860. Let w be y(0). What is w rounded to the nearest one hundred? -4900 Let m = 0.099 - 96.099. Let b = m - -96.00212. What is b rounded to four decimal places? 0.0021 Let g = 2 + 1. Suppose -d + 182656 = -o - 497340, 0 = -2*o + g*d - 1359988. What is o rounded to the nearest 100000? -700000 Let x = -0.11 - -0.1062. Round x to 3 decimal places. -0.004 Let g = -101 + 154. What is g rounded to the nearest 10? 50 Let u = -164 + 170.7. Let h = 5.96 - u. What is h rounded to one dp? -0.7 Let s = 2742206.9999955 + -2742206. Let q = -1.1 + 0.1. Let d = s + q. Round d to six dps. -0.000005 Let a = -23.964 + 24. Round a to 2 decimal places. 0.04 Let x = -230 + 105. Let f = -66 - x. Let t = f - 59.0000108. What is t rounded to 6 dps? -0.000011 Let w = 720 + -1031. Let f = w - -311.000147. What is f rounded to five dps? 0.00015 Let k = 5.19322 - 0.01222. Let l = k - -0.119. Let o = l - 5. Round o to the nearest integer. 0 Let d = -23819422 + -32899872. Let t = 31819294 + d. Round t to the nearest one million. -25000000 Let p = -17 - -12. Let x = 5 + p. Round x to 0 decimal places. 0 Let b = -1829 - -1828.3949. Let o = b - -0.6. What is o rounded to three decimal places? -0.005 Let i = -1325.42094 - -1342.421. Let j = -17 + i. What is j rounded to five dps? 0.00006 Let d be 10/(4 + -3)*-68. What is d rounded to the nearest one hundred? -700 Suppose -5*h - 666000 = -2*h. What is h rounded to the nearest ten thousand? -220000 Suppose -2*n + 3*z + 2579985 = 0, -4*n - 2*z + 0*z = -5160010. What is n rounded to the nearest one hundred thousand? 1300000 Let i be (-4)/(-2) + 3 - 1. Suppose -2*u + 14 = 5*v, -3*u - i*v = -u - 18. What is u rounded to the nearest ten? 20 Let x = -157 - -157.00268. What is x rounded to three dps? 0.003 Let d = -1.235 - -0.225. Let l = -1 - d. What is l rounded to 2 dps? 0.01 Let m = -32.99999908 + 33. What is m rounded to 7 decimal places? 0.0000009 Let m = 50.23 - -0.77. Let h = m - 50.69. Round h to 1 dp. 0.3 Let s = -20157 + -89861. Let h = s + 188018. What is h rounded to the nearest 10000? 80000 Let a = -19 - -4. Let d = a - -20.8. Round d to zero dps. 6 Let w = 0.7147 + 2.2845. Let x = w + -3. What is x rounded to four dps? -0.0008 Let b = 752 - 695.856. Let c = 1.244 - b. Let h = 51 + c. Round h to 0 decimal places. -4 Let k(l) = 401*l - 12. Let p be k(5). Let g be (p + 7)/((-2)/430). Round g to the nearest 100000. -400000 Let v = -261.3 + 81. Let z = v - -188. Round z to the nearest integer. 8 Let j = 0.2 - 0.6. Let f = j - 10.6. Let r = f - -9.9. Round r to zero dps. -1 Let f = -5.88 + 6. Let w = 0.113 - f. What is w rounded to 3 decimal places? -0.007 Let q = 3.1 + 21.9. Let y = q - 24.952. What is y rounded to 2 decimal places? 0.05 Let s = 0.02999948 + -0.03. Round s to 7 dps. -0.0000005 Let o = 0.03114 - -0.02419. Let h = 17.055 - 17. Let i = o - h. What is i rounded to 4 dps? 0.0003 Let c = -0.85 + 0.9254. What is c rounded to 3 dps? 0.075 Suppose 9*p - 15*p = 72900000. What is p rounded to the nearest 1000000? -12000000 Let w(l) be the third derivative of l**6/120 + 11*l**5/60 + 5*l**4/12 - l**3/2 + 5*l**2. Let b be w(-7). What is b rounded to the nearest ten? 120 Let x = -16.5 + 25. Let i = 2.1 - x. Round i to 0 dps. -6 Let g(f) = -2*f - 170000. Let w be (-5)/(-10)*(0 + 0). Let v be g(w). Round v to the nearest 100000. -200000 Let j = 1.40000016 + -1.4. What is j rounded to 7 dps? 0.0000002 Let t = 63.809991 + -63.82. Let l = 1.5 + -1.51. Let i = l - t. What is i rounded to 5 decimal places? 0.00001 Let v = 7.2 + -8. Let s = v + 0. Let z = s + 0.7999984. Round z to six decimal places. -0.000002 Let j = -135.99631 - -136. What is j rounded to four dps? 0.0037 Let d = -0.179 + 0.17900253. Round d to six dps. 0.000003 Let l = 0.1599999 - 0.16. What is l rounded to 7 dps? -0.0000001 Let y = 3.09999946 - 3.1. Round y to 7 dps. -0.0000005 Let p = 8.5 + -18. What is p rounded to 0 decimal places? -10 Let h = 4 + -2. Suppose z - h = 4*i, -z + 8 = 3*z - 2*i. Suppose 3*f + 31500 = -z*f. What is f rounded to the nearest 1000? -6000 Let r = -2.05 - -2. Let b = -0.759 - -0.009. Let v = b + r. Round v to 0 dps. -1 Let p = 0.95 - 0.26. Round p to 1 dp. 0.7 Suppose 2*g = -4*h + 3308, -g + h = -2*h - 1644. Round g to the nearest one hundred. 1700 Suppose 0 = -4*p - 4, 3*p + 16 = 3*c + 5*p. Let q be (-4)/c - (-129002)/3. What is q rounded to the nearest 10000? 40000 Let w = 2.0727188 + 1.9272747. Let q = 4 - w. Round q to 6 dps. 0.000007 Let u be (-29)/29 - (1*-1 - 1650000). Round u to the nearest one hundred thousand. 1700000 Let n(b) = -b**2 - 8*b - 8. Let h be n(-6). Suppose -h*l + 95564 + 2104436 = 0. Round l to the nearest 100000. 60
{ "pile_set_name": "DM Mathematics" }
(8)/sqrt(4)). 4*sqrt(13) Simplify (-5 + 1*(0 + sqrt(99)))**2. -30*sqrt(11) + 124 Simplify -4*sqrt(2)*-1 - sqrt(192)/sqrt(6). 0 Simplify ((sqrt(1100) - (sqrt(1100) + (sqrt(1100) - sqrt(1100)*-1)))*5)**2. 110000 Simplify ((sqrt(36)/sqrt(3))/sqrt(4)*-3)**2. 27 Simplify (4*(sqrt(468) + 2) + -1 + 0 + sqrt(468))**2. 420*sqrt(13) + 11749 Simplify (-1 + 1 + sqrt(275) + 5*(sqrt(176) + -1))**2. -250*sqrt(11) + 6900 Simplify (1*sqrt(1000))/((sqrt(64) + 2*sqrt(64) + sqrt(64))/sqrt(8) - sqrt(8)). 5*sqrt(5)/3 Simplify (sqrt(8)/sqrt(4) + 2)**2*-6. -36 - 24*sqrt(2) Simplify (sqrt(153) - ((sqrt(153) + -4)**2 + sqrt(153)))*-5 + -5. -120*sqrt(17) + 840 Simplify 0 + (-3 + sqrt(13))**2 + -5. -6*sqrt(13) + 17 Simplify (sqrt(198)/(sqrt(66)/sqrt(6)))/sqrt(6)*5. 5*sqrt(3) Simplify (sqrt(72) + 0 + 1)**2*-5. -365 - 60*sqrt(2) Simplify (sqrt(19) + 3 + sqrt(19))*1 + sqrt(152)/(sqrt(8) - sqrt(128)). 3 + 5*sqrt(19)/3 Simplify (sqrt(17) - (sqrt(17) + 1)) + 2 + 0. 1 Simplify (sqrt(40)/(sqrt(64)/sqrt(8))*-2)**2. 20 Simplify ((1*sqrt(95) + sqrt(95) + sqrt(95))*-6)/sqrt(5). -18*sqrt(19) Simplify -2*(sqrt(17) + (sqrt(17) - sqrt(17)*-1) + sqrt(17) + 0 - 1*sqrt(17)*3). -2*sqrt(17) Simplify (-5*(sqrt(720) - 3*(sqrt(720) + 1 + sqrt(720))))**2. 9000*sqrt(5) + 450225 Simplify (sqrt(27) - sqrt(3)) + 3 + -3 + sqrt(3) + sqrt(9)/sqrt(3). 4*sqrt(3) Simplify 2 + sqrt(539) + -1. 1 + 7*sqrt(11) Simplify (2 + -2*sqrt(245) + (5 + (sqrt(245) - (sqrt(245)*1 - sqrt(245)) - sqrt(245)) - sqrt(245)))**2. -294*sqrt(5) + 2254 Simplify ((sqrt(272)*2)**2 + -3)*-3. -3255 Simplify -1*-2*(((sqrt(91)/(sqrt(7) + (sqrt(28) - sqrt(7))))**2 - sqrt(13)) + (sqrt(13)*-1*-2)**2). -2*sqrt(13) + 221/2 Simplify (1*-1*sqrt(147))**2. 147 Simplify sqrt(272) + 3 + 1. 4 + 4*sqrt(17) Simplify sqrt(216)/sqrt(3) + sqrt(8) + 2. 2 + 8*sqrt(2) Simplify 1 + -3 + (2*sqrt(95) - sqrt(95))/sqrt(5). -2 + sqrt(19) Simplify 2*(sqrt(336)/sqrt(6))/sqrt(8). 2*sqrt(7) Simplify (sqrt(60) + sqrt(360)/sqrt(6))/sqrt(12) - -2*sqrt(405). 20*sqrt(5) Simplify 3*(sqrt(468)*-6 - sqrt(13) - sqrt(104)/(sqrt(8) - sqrt(8)*-3)). -447*sqrt(13)/4 Simplify -4*(1*sqrt(192))**2 - (sqrt(192) + (-1 + sqrt(192) + -1)**2). -964 + 24*sqrt(3) Simplify (-2*sqrt(3630))/sqrt(10). -22*sqrt(3) Simplify (6*(sqrt(50)*3)/sqrt(10))**2. 1620 Simplify (2 + ((-2*sqrt(57))/sqrt(3))**2 + -5)*4. 292 Simplify 4*sqrt(13)*3 + 3 + sqrt(117)/sqrt(9). 3 + 13*sqrt(13) Simplify 1 + sqrt(175) - (sqrt(175) + -2)**2. -178 + 25*sqrt(7) Simplify (-3 + sqrt(1100) + -3)**2. -120*sqrt(11) + 1136 Simplify ((3*(2*sqrt(99) + sqrt(99)))/sqrt(9))**2. 891 Simplify (sqrt(33) - 2*sqrt(33))/sqrt(11)*6. -6*sqrt(3) Simplify (sqrt(684) + (sqrt(684) + sqrt(684)*-2)**2)*2*-3. -4104 - 36*sqrt(19) Simplify ((sqrt(17) - sqrt(272))*-3)**2 - (-1 + sqrt(17))*-4. 4*sqrt(17) + 1373 Simplify -4 + sqrt(153) + -1 + sqrt(153) + 1. -4 + 6*sqrt(17) Simplify 1 + (-2*sqrt(7) - sqrt(7))**2 - (sqrt(63)*2)/sqrt(9). -2*sqrt(7) + 64 Simplify ((sqrt(2057) - (sqrt(2057) + 2))*-3)**2. 36 Simplify 1 + sqrt(2736) + sqrt(2736) - (5 + -1*sqrt(19))**2. -43 + 34*sqrt(19) Simplify (sqrt(34) + (-5*(sqrt(306) - sqrt(34) - sqrt(34)) - sqrt(34)))/(-1*sqrt(242)). 5*sqrt(17)/11 Simplify sqrt(192) - (sqrt(192) - (2*sqrt(192)*-6 + sqrt(192)))**2 - (sqrt(192)*1 + -3). -27645 Simplify (((3*sqrt(171))/sqrt(9) + sqrt(19)*2*-1)*-4)**2. 304 Simplify (5*(-2 + sqrt(27)) - sqrt(27))**2. -240*sqrt(3) + 532 Simplify sqrt(1053) + 3*((1 + sqrt(1053))**2 + sqrt(1053)). 90*sqrt(13) + 3162 Simplify ((sqrt(153)*-2 + sqrt(153))*-5)/((-2*sqrt(81) + sqrt(81))/sqrt(9)). -5*sqrt(17) Simplify ((sqrt(468)*-1 + sqrt(468))/sqrt(9))**2 + 1*(sqrt(468))**2. 468 Simplify sqrt(18)/(3*(sqrt(9) + sqrt(36)/sqrt(4))). sqrt(2)/6 Simplify ((sqrt(5) - (sqrt(5) + sqrt(560)/sqrt(7))) + 5)*4. -16*sqrt(5) + 20 Simplify (((sqrt(13) - (sqrt(13) + -1))*-3 + sqrt(78)/((sqrt(6) - (-2*sqrt(6) - sqrt(6) - sqrt(6))) + sqrt(6)))*-2)**2. -4*sqrt(13) + 337/9 Simplify -3*(sqrt(180) + -3). -18*sqrt(5) + 9 Simplify (2*sqrt(77))/sqrt(7)*-3. -6*sqrt(11) Simplify -5 + sqrt(15)/((sqrt(90) + sqrt(10))/sqrt(2) - sqrt(5)). -5 + sqrt(3)/3 Simplify (-1*sqrt(170)*2)/(5*sqrt(10)*2). -sqrt(17)/5 Simplify -2 + -2*(sqrt(2448) + -1*sqrt(2448))**2*-5. -2 Simplify (sqrt(143)/(sqrt(11) + (sqrt(99) - sqrt(11))) - (sqrt(1872) + sqrt(1872)*2))**2. 148837/9 Simplify (-1*sqrt(275) + sqrt(11) + sqrt(110)/(sqrt(10) + sqrt(60)/sqrt(6)) + sqrt(11))**2. 275/4 Simplify 1*(1*sqrt(128)*-2)**2. 512 Simplify -2 + 1 + sqrt(171). -1 + 3*sqrt(19) Simplify (sqrt(85) - -1*(sqrt(85)*-1 - sqrt(85)))/sqrt(5). -sqrt(17) Simplify 4*(0 + sqrt(539))*-2. -56*sqrt(11) Simplify (sqrt(252) - (sqrt(252) - 1*sqrt(252))) + sqrt(252) - sqrt(63)*6. -6*sqrt(7) Simplify (-2*sqrt(1080))/(sqrt(160)*-3 + sqrt(160) - sqrt(160)). sqrt(3) Simplify sqrt(88)/sqrt(8) + -5 + 2. -3 + sqrt(11) Simplify sqrt(5)*1 + 0 + (sqrt(5) - (sqrt(45) + -1)). -sqrt(5) + 1 Simplify 2 + sqrt(6912) - sqrt(144)/(-2*sqrt(3)). 2 + 50*sqrt(3) Simplify sqrt(320) + 1 - (1 + sqrt(80)). 4*sqrt(5) Simplify (sqrt(1300) - (1 + sqrt(1300))) + sqrt(13) - -4*(sqrt(13) + 1). 3 + 5*sqrt(13) Simplify 0 + (sqrt(405)*-4)**2 + 4. 6484 Simplify -2 + -1 + -4 + sqrt(891). -7 + 9*sqrt(11) Simplify -2*sqrt(76)*-4 + -1 + (sqrt(76) - (sqrt(76) - (sqrt(76) + 0))). -1 + 18*sqrt(19) Simplify -1 + sqrt(7) + (-3*sqrt(77))/sqrt(11). -2*sqrt(7) - 1 Simplify 1*sqrt(77)/sqrt(7)*3. 3*sqrt(11) Simplify 2 + 3*sqrt(99). 2 + 9*sqrt(11) Simplify (2*sqrt(102))/sqrt(6)*3. 6*sqrt(17) Simplify ((0 + sqrt(700))*-3 + sqrt(700)*-2*3)*5. -450*sqrt(7) Simplify ((sqrt(80) + -3)**2 + sqrt(5) + -4)*3. -69*sqrt(5) + 255 Simplify (sqrt(49)*-2*1)/sqrt(7). -2*sqrt(7) Simplify (-3 + (sqrt(2) - (sqrt(22)*-1)/sqrt(11)))**2. -12*sqrt(2) + 17 Simplify -4*((sqrt(19) - (sqrt(19) - (0 + sqrt(1900))**2)) + sqrt(684) + (sqrt(684) - sqrt(684)*-1)). -7600 - 72*sqrt(19) Simplify ((sqrt(36) - 2*sqrt(36))/sqrt(4))/sqrt(3). -sqrt(3) Simplify sqrt(2)*-2 + -4 + 2. -2*sqrt(2) - 2 Simplify 0 + sqrt(242) + -2 + sqrt(50). -2 + 16*sqrt(2) Simplify -1 + sqrt(63)/(-2*sqrt(576)). -1 - sqrt(7)/16 Simplify ((sqrt(136)*-1)/sqrt(8))**2 + (sqrt(102)*-2)/sqrt(6). -2*sqrt(17) + 17 Simplify 0 + sqrt(51)/sqrt(27) + -2. -2 + sqrt(17)/3 Simplify sqrt(27)/(-3*sqrt(9)) - (sqrt(24)/(sqrt(8) + sqrt(8)*1) - sqrt(3)). sqrt(3)/6 Simplify 3 + ((sqrt(285)/sqrt(5)*5)/sqrt(3))**2. 478 Simplify 4*(0 + sqrt(425)). 20*sqrt(17) Simplify -1*sqrt(288) + -3. -12*sqrt(2) - 3 Simplify (-1 + sqrt(700) + -1)*-3. -30*sqrt(7) + 6 Simplify 1*sqrt(25)/sqrt(5) + sqrt(5)*3*-2. -5*sqrt(5) Simplify (5 + sqrt(176) + 1 + -3*(sqrt(176) + 0))**2. -96*sqrt(11) + 740 Simplify sqrt(2)*1 + 4 + 0. sqrt(2) + 4 Simplify -1 + 1*sqrt(704). -1 + 8*sqrt(11) Simplify ((sqrt(540) - sqrt(15))*2)/(sqrt(3) - (sqrt(3) - 4*sqrt(9)/sqrt(3))). 5*sqrt(5)/2 Simplify 2*sqrt(288)*-2 - sqrt(288). -60*sqrt(2) Simplify ((sqrt(7) + sqrt(35)/sqrt(5))*1)**2*-5. -140 Simplify 1 + sqrt(245)*2. 1 + 14*sqrt(5) Simplify sqrt(2299)*-1 + -5 - (sqrt(2299) + sqrt(2299)*2 + -3)**2. -20705 + 187*sqrt(19) Simplify (sqrt(1700) + sqrt(1700) + 1 + 1)**2 + 6*(sqrt(1700) - (0 + sqrt(1700))). 80*sqrt(17) + 6804 Simplify -3*(sqrt(51)/(sqrt(6)/sqrt(2)) + 2). -3*sqrt(17) - 6 Simplify (sqrt(126)*2 - sqrt(126))/sqrt(2) + ((sqrt(252) - (sqrt(252)*1 - sqrt(252)))/sqrt(4))**2. 3*sqrt(7) + 63 Simplify 1*(sqrt(133) - 5*(sqrt(133)*1 - sqrt(133)))/sqrt(7). sqrt(19) Simplify 3 + ((sqrt(24)/sqrt(2))/sqrt(4))**2. 6 Simplify 5*sqrt(18)/(sqrt(294)*-1 - sqrt(6)). -5*sqrt(3)/8 Simplify ((-4*(sqrt(1700) - sqrt(1700)*-1) - sqrt(1700) - sqrt(1700)) + sqrt(1700))**2 + 0 + sqrt(17)*-1 + -1. -sqrt(17) + 137699 Simplify sqrt(117) - (1 + (sqrt(117)*-2)**2) - sqrt(117) - sqrt(117) - sqrt(117). -469 - 6*sqrt(13) Simplify 1*(3*sqrt(1100))**2 - sqrt(1100). -10*sqrt(11) + 9900 Simplify sqrt(272)*-2 + (sqrt(17)*3)**2 + 1. -8*sqrt(17) + 154 Simplify sqrt(630)/(sqrt(10) - sqrt(810)). -3*sqrt(7)/8 Simplify -4 + (0 + sqrt(19))**2*-2*6. -232 Simplify 5 + ((sqrt(11) + 4)*-5)**2. 200*sqrt(11) + 680 Simplify (-2 + sqrt(448) + 4*sqrt(448))**2. -160*sqrt(7) + 11204 Simplify sqrt(18)*-5 + sqrt(150)/sqrt(3). -10*sqrt(2) Simplify 3 + sqrt(216)/sqrt(2). 3 + 6*sqrt(3) Simplify -2 + (sqrt(396))**2 + (sqrt(11)*3 - sqrt(11))*-2. -4*sqrt(11) + 394 Simplify (sqrt(605) + -2)**2 + -5. -44*sqrt(5) + 604 Simplif
{ "pile_set_name": "DM Mathematics" }
y for d. -3 Let t(l) = 5*l**2 + l. Let h be t(-1). Solve 2*i - 6*i = -h for i. 1 Suppose 2*w + v = -6, 5*w + 3*v + 15 = 2*v. Suppose 0 = 2*y + 2*y - 36. Let p = y + w. Solve 6*x = 3*x - p for x. -2 Suppose 3*k - 5*r - 9 = 0, k - r = -2*k + 9. Let h(w) = -5 - w + 3 - k. Let b be h(-7). Solve 6 = -b*t + 5*t for t. 2 Suppose -5*i - p - 10 = 9, -2*i = p + 7. Let a be i/2 - (-20 + 16). Solve -c + a = 3 for c. -1 Suppose 4*n - 15 = -n. Suppose -n*w = w + 12. Let v be 2/(-6) + (-37)/w. Solve 3*b + b - v = 0 for b. 3 Suppose 0 = 4*o - 3*o - 2. Solve 5*p + 18 = -o for p. -4 Suppose -y + 2 - 1 = 0. Let p be (-2)/y + (-10)/(-1). Let l = p + -3. Solve -r + l - 4 = 0 for r. 1 Let z be 46/4 - 1/(-2). Let o(u) = -4*u**2 + 3*u - 5. Let c(m) = -m**2 - m - 1. Let k(s) = 3*c(s) - o(s). Let h be k(6). Solve l = -h*l - z for l. -4 Let m(d) = -3 + 0 - 1 + d - 2. Let o be m(8). Solve -j = o*j for j. 0 Let k be 2*(-2 + (-6)/4). Let g be 2/7 + 2/k. Let u = 3 - g. Solve 0 = 6*c - u*c - 9 for c. 3 Let g(m) = -2*m. Let k be g(-2). Suppose 2*o + 18 = k*o. Solve -2*p = -1 - o for p. 5 Let o = -26 + 28. Solve o*x - 2 + 0 = 0 for x. 1 Let n(s) = -s - 2. Let z be n(-5). Suppose 60 = 3*k - 3*y, -48 = -4*k - 13*y + 9*y. Solve -f - k = z*f for f. -4 Let s = 3 - -10. Solve 3*a + 1 = s for a. 4 Let c(k) = -3*k**3 + 3*k**3 + k**3 + 5*k + 7*k**2. Let y be c(-6). Suppose -i = -y*i + 15. Solve -2*a - i*a = -10 for a. 2 Let z = -10 - -14. Solve -z*p + 7*p - 12 = 0 for p. 4 Suppose 11*a + 105 = 6*a. Suppose -l - 282 = l. Let f be l/a + 4/14. Solve f*r + 20 = 3*r for r. -5 Let u be (-4)/10*(0 + -5). Let v be 0 + 0*1/2. Suppose v = -w - 2*m - 0*m + 15, 0 = 5*m + 25. Solve 3*r - w = -u*r for r. 5 Suppose -3*j - 3 + 0 = 0. Let s be (j + 0)*0/(-2). Solve f - 5*f + 16 = s for f. 4 Suppose 3 = 5*f + 13. Let l be f*(0 + (-15)/6). Solve -3 - l = 4*t for t. -2 Suppose -5*m + 16 = 2*o, 5*o - 6 = 4*m + 1. Let j = -5 + -1. Let c be 4/j + (-55)/(-15). Solve c - 9 = m*d for d. -3 Let v(w) = -w**2 + 8*w + 10. Let i be v(8). Suppose z = 5*t - t - i, -5*z = 5*t. Solve r = -r + t for r. 1 Let n(w) = -w**3 + 6*w**2 + 7*w + 3. Let r be n(7). Let b be 0*(r - 5 - -1). Solve -p + 4*p - 15 = b for p. 5 Suppose 4*m - 9 = 3. Suppose 4*x = -4*b + 5 + 15, 0 = -m*x + 6. Solve 4*l - 5*l = b for l. -3 Suppose j - 21 = 6*j + w, 5*w - 30 = 2*j. Let u = j - -10. Solve u*h - 2*h = -12 for h. -4 Let d(l) = 4*l**2 - 1. Let v be d(2). Suppose 12*m = 17*m. Suppose -4*x + k + 25 + v = m, 19 = 3*x + 2*k. Solve 0 + x = 3*p for p. 3 Let p be (-8 - -1)/(4/(-4)). Let t(y) = y**2 - 5*y - 9. Let s be t(p). Solve -s*w + 9 = 29 for w. -4 Let b be (-4)/((-2)/(-1)) - (-23 - 4). Solve 2*n = -3*n + b for n. 5 Suppose d - 5*q = -5 + 1, -4*d = 2*q - 28. Let k(t) = -2*t + 10. Let c be k(7). Let p be (-1 - c) + (-2)/2. Solve -p*v = -d*v + 20 for v. 5 Let f(d) = 9 + d**2 - 7*d + 7 - 7. Let w be f(6). Solve -w*l + 0*l = -12 for l. 4 Suppose 0 = -12*m + 7*m. Solve -f + 5 = -m*f for f. 5 Let x be (5 - (2 - -3))/1. Solve x = o + o for o. 0 Let q(b) = -b**2 - 10*b - 6. Let h be q(-9). Let l = h + 15. Let d be (-3)/(3/(-2)) + l. Solve -d = 3*m + 2*m for m. -4 Suppose 5*q = 5 + 10. Solve -q*m + 3 = 9 for m. -2 Suppose 3*r = -2*r + 40. Suppose 4*t + a + 0 - 56 = 0, 2*a = -t + 7. Solve -r*v = -3*v + t for v. -3 Suppose -3*t + 29 = 5*b, 0*t - 2*t - b = -10. Suppose p - 5 = -2*c - 2, -2*c = 4*p + 6. Let i = p + t. Solve -m + 5 = -i for m. 5 Suppose 5 = j - o, -5*j + 3*j - 4*o - 2 = 0. Solve 0 = a - 0 - j for a. 3 Suppose 7 = -2*i + 3*i - p, -3*i = 4*p. Solve 4*a = 2*a + i for a. 2 Suppose 2*l - 64 = -8. Suppose 2*b - 14 = x, -3*b + 3*x + l = b. Solve t - 2 = -b for t. -5 Let z be (-2)/7 + (120/28 - 2). Solve 2*r + 0 = -z for r. -1 Suppose 13 = -c - 5*f, -3*c - 3*f - 1 - 2 = 0. Suppose -c*u + 6 = 2. Suppose 4*i - 2*z - 2*z = 8, i + u*z = 14. Solve 20 = i*b - 2*b for b. 5 Suppose 2 = -2*q + t - 10, -4*t + 8 = 0. Let r = -5 - q. Solve r = -2*n + n - 4 for n. -4 Let u(s) = -s - 1. Let r be u(-2). Solve 5*v - r + 21 = 0 for v. -4 Let w = 76 + -76. Solve -l - 6 + 4 = w for l. -2 Suppose 3 = -3*f, -4*z - 6*f = -f - 43. Suppose -2*c + 4*c - 4 = 0. Solve 0 = m + c*m - z for m. 4 Let o be 2 + 0 + 0 + 0. Suppose v - 3 = o. Solve -v*c = -c for c. 0 Let m(i) = -i - 1. Let y be m(-9). Let j(n) = -n**2 + 8*n + 6. Let u be j(y). Suppose -u*t = -3*z - t + 35, t + 1 = 0. Solve f + f = z for f. 5 Let v(a) = 2*a**2 - 21*a + 14. Let f be v(10). Solve 5 = -f*r - 7 for r. -3 Suppose h + 1 = -7. Let k be h/(0 - -2) + 0. Let v be 2/(-4)*k - 2. Solve 2*u + 0*u - 4 = v for u. 2 Let j be 10/1 + 2/(-2). Suppose 0 = 3*r + 2*a - 15 - 8, r - 3*a + 7 = 0. Suppose 0 = -0*h + r*h - 20. Solve j = -w + h*w for w. 3 Let w be (-8)/(-28) + 174/(-21). Let o be (-1 - -3) + w/(-4). Solve 0 = u + o*u for u. 0 Let w be (1 - 1)*(-11 + 10). Let p(r) = -r**3 - 4*r**2 - 4*r - 6. Let d be p(-4). Solve 0*y - 5*y + d = w for y. 2 Let t(p) = -p**3 + 5*p**2 - p - 9. Let y be t(4). Solve 0 = y*o - o for o. 0 Suppose 2*z = -z - 5*k + 9, 0 = 4*z - 2*k - 12. Solve z - 5 = -b for b. 2 Let q(d) = d + 1. Let b be q(1). Suppose -2*j = 4*z - 20, 60 = 4*j + b*z - 10. Solve 5*l = -0*l + j for l. 4 Suppose 5*u + 3 = -27. Let m be (2/u)/(2/(-18)). Solve -m*l = l + 4 for l. -1 Suppose -3*d + 17 = 5. Suppose p - 4*t = -3*p + d, 2*p - 6 = t. Solve 0 = p*r - 11 - 9 for r. 4 Let h be (11 - 23)*(-1)/4. Let q be ((-12)/10)/(3/(-10)). Let k be -1 + 0 + 3 - 1. Solve q*r + h = -k for r. -1 Suppose 2*c - 2 = 0, -2*g - 3*c - 15 = -5*g. Solve -14 - g = -4*a for a. 5 Let x(t) = 2*t**2 + 4*t - 1. Let n be -1*-2*(-6)/4. Let f be x(n). Let m(z) = -z**2 + 5*z + 3. Let h be m(f). Solve v = 2*v + h for v. -3 Let l = -1 - -4. Suppose -t + 5 + 4 = 0. Solve -4*b - l - t = 0 for b. -3 Let j = 39 - 39. Solve -o = -j - 3 for o. 3 Let k(m) = -m**2 + 12*m - 2. Let n be k(12). Let i be (-10)/n + 6 + -6. Solve 0 = -r + i*r for r. 0 Let k(b) = 5*b - 4*b + 11 - 1. Let n be k(-5). Let u = 23 - 22. Solve -t + u = n for t. -4 Let a be 2/(-2)*(2 + -4). Solve -7*b + a*b = 5 for b. -1 Let t be (-7)/14 + 2/4. Solve 4*b + 13 + 3 = t for b. -4 Let x = 18 - 21. Let n = 8 + x. Solve 10 = -3*k - n for k. -5 Let c = -1 - -3. Suppose -2*b + 3*b - 2 = 0. Let h = b - c. Solve l - 2*l + 4 = h for l. 4 Let d(z) = z**3 - 6*z**2 + 5. Let f = 19 + -13. Let t be d(f). Solve 0 = 4*m + 7 + t for m. -3 Let w be -2 + -1 + 7 + -1. Let o be 0 - (w + -2) - -3. Let p = 17 - 8. Solve 1 = o*c + p for c. -4 Let i(w) = -w**3 + 12*w**2 + w - 12. Let m be i(12). Suppose 0 = -v - m*v + 3. Solve -4*s - v = -7 for s. 1 Suppose 0 = -2*d + 24. Solve d = 2*c + 2*c for c. 3 Let b = -31 - -37. Solve 2*x + x = -b for x. -2 Suppose -34 = -4*z + 5*z. Let j = z + 48. Solve j = -3*c + 2 for c. -4 Suppose 0 = l - 5*l - z + 10, 5*l - 5*z - 25 = 0. Suppose o = u + 2, -l*o - 6 = u - 24. Solve -m + 2 = -u for m. 5 Let r(o) = o**3 - 4*o**2 - 3*o - 5. Let m be r(5). Solve -7 = m*h - 2 for h. -1 Let d = -36 + 18. Let s = d - -29. Solve -3*t = 2 - s for t. 3 Let y = 1 - 3. Let r be -2 + y/(2/(-3)). Suppose l = 5 - r. Solve 0 = -a - 0*a - l for a. -4 Let q = 10 - 13. Let d be (-2)/(-4)*0/q. Solve 2*r + 0 + 2 = d for r. -1 Let x(z) = -z**2 - 5*z - 3. Let l be x(-4). Suppose 0 = -a - 4*a + 20. Suppose l = -y + a. Solve 0 = b - y + 6 for b. -3 Let r be 2 - (2 - (2 + 1)). Suppose 19 - r = 4*w. Solve w = -u - 3*u for u. -1 Let n(j) = -5*j - 4. Let f be n(-2). Suppose b + f = 4*b. Solve -g - 3 = -b*g for g. 3 Let d = 43 + -38. Suppose -5*y + 40 = -0*y. Solve -d*s + y = -s for s. 2 Let g(o) = 8*o + 2. Let m be g(2). Suppose m = -5*n + 3*n. Let p = n + 9. Solve -5 = -q - p*q for q. 5 Suppose -t - 3*t + 5*p + 26 = 0, 2*p = -t. Solve 0 = -t*j - 1 + 13 for j. 3 Let a = -10 + 13. Let c be (a/(-2))/(9/(-66)). Solve c = 5*h - 4 for h. 3 Let c(s) = -s + 13. Let l(p) = 13. Let n(b) = -2*c(b) + 3*l(b). Let h be n(-6). Solve -2*i = 1 + h for i. -1 Let u = 7 + -4. Suppose -3*z = -2*o + 5, -u*o + 4*o - 10 = 3*z. Let s = o + 8. Solve f + 2 = s*f for f. 1 Let n = -7 - -12. Suppose -n*z = -0*z - 60. Solve x - z = -3*x for x. 3 Suppose -2*j - 6*j + 64 = 0. Solve -2*h = -2 - j for h. 5 Let k be -9 - -8 - 1/(-1). Suppose -3*f = -k*f. Solve -3*y + 4*y - 2 = f for y. 2 Suppose -11 = x - 4*x - 5*r, 5*r = -2*x + 14. Let l be (-16)/(-
{ "pile_set_name": "DM Mathematics" }
= -8 for x. 4 Suppose 0 = -4*s + 29 - 5. Let v be (-4 - 0)/((-4)/s). Solve 0 = -3*c - 3*f + 24, -v*c - 2*f + 26 = -2*c for c. 5 Let q be ((-14)/98)/(5/(-175)). Solve 0 = -q*p - 4*t - 17, 20 = -3*p + t + 3 for p. -5 Let j be 34/119*(-3 - (-314)/2). Suppose d - 59 = -j. Solve 0 = -2*t - s - s + 8, 2*t - d = 5*s for t. 5 Suppose 0 = -10*q + 634 - 314. Solve 4*f + 4*z = 20, -5*f + q*z - 30*z = 10 for f. 0 Suppose 99 = 11*n - 8*n. Let r = -43 + n. Let u be 0/1*5/r. Solve -2*x + 5*q = -11, 2*x - q + u - 7 = 0 for x. 3 Suppose -7*z = 2979 - 487. Let p = -347 - z. Solve -3*q - 5*m = -15, q + 3*m - p = -3*q for q. 0 Suppose -91 = 2*d - 119. Let p be 116/203 + (-8)/d. Solve p*g - 5*o - 5 = 5*g, o = -4*g - 16 for g. -5 Let m(v) = 2494*v - 4984. Let a be m(2). Solve -30*k - 5*w - 15 = -29*k, 3*k + 7 = a*w for k. -5 Let h = -5321 - -5324. Solve -3*r + 3*j = 0, -h*j - 15 = -2*r + 4*r for r. -3 Suppose 8*g - 6*g + 14 = 2*o, 36 = 3*o + 2*g. Solve o*i - 15*i + 5 = -3*z, -4*i + z - 3 = 0 for i. -2 Let i = -29629 - -29633. Let g(v) = -v**3 - 4*v**2 + 8*v + 6. Let a be g(-5). Let q = 14 + a. Solve -3*b = 9, q*b - i = -c - 20 for c. -1 Let j(w) = -w + 13. Let h be j(9). Suppose h*a + 2 = -3*k - 0, 4*k = -5*a - 3. Solve -5*f - y + a = -18, -f + 4*y + 8 = 0 for f. 4 Suppose -3*u - 2*g = 51 + 51, 4*u - 2*g + 150 = 0. Let d = u - -40. Let c = -1 + 3. Solve d*y = 2*q + 2, 2*y + 0*y + c = 4*q for q. 1 Let x be 4/(-10) - 3/5. Let s(n) = n**3 + 22*n**2 + 23*n + 44. Let k be s(-21). Let z be x/3*-3*k. Solve 0 = -4*l - a + 14 - 1, l = z*a - 8 for l. 2 Suppose 3*g = 2*b + 49, 9 = g - 0*b + 3*b. Solve -3*u - 3*a - 3 = 0, 2*u + 3*a = -16 + g for u. -2 Let c be (-2)/(-12) - 3/(54/(-69)). Suppose -2*r + 5*i = 24 - 7, -c*r + i + 11 = 0. Let m be -8*(r + -9 + 4). Solve -4*q - 4*u - m = u, -3*u - 12 = 0 for q. 3 Suppose -4*a + 1067 = -4*h + 1035, 38 = a + 5*h. Solve -2*y + 3*j + a = -6, -11*y + 2 = 4*j for y. 2 Let r(w) = -35*w - 350. Let i be r(-10). Solve 4*j + 2*s - 6 = i, -37*s + 34*s = -4*j - 19 for j. -1 Let b be (-8 - (-23 - -10)) + (-4 - -4). Solve -j - m = -b, -3*m = -4*j + 4 + 16 for j. 5 Let r = -10169 + 10173. Solve 7*n - 8*n = -5*a - 25, -r*a + 3*n = 31 for a. -4 Suppose 0 = -4*f - c + 25, 29*c - 5 = 24*c. Solve -h + 3*x - 8 = 0, -5*h - f - 2 = x for h. -2 Let b be -1*5/(-14 - 1)*-3. Suppose -5*g = -g - 24. Let h = b + g. Solve 4*d = -2*x + 10, 40 = -0*d + 3*d - h*x for d. 5 Suppose 4*o - 72 = 3*y + y, 5*y + 67 = 4*o. Let u = -22 - -22. Let x be (3 + (-3 - u))*1. Solve t - 3 = w - 0*t, -5*w + t - o = x for w. -5 Let h(b) = 199*b - 595. Let x be h(3). Solve -x*s = -2*w + 8, 0 = -5*s - w - 10 - 10 for s. -4 Let x be 172/84 - 18/378. Solve -4*n - 4*f - 5 - 3 = 0, -5*n - 3 = -x*f for n. -1 Let o be (-4 + 4)/((-2)/2). Let d(f) = -8*f - 11. Let p(g) = -5*g - 12. Let u(x) = 2*d(x) - 3*p(x). Let i be u(13). Solve -b + y + i = 0, o*y + 4 = -y for b. -3 Let s(t) = -63*t**2 + 9*t + 28*t**2 + 27*t**2 + 14 + t**3. Let b = 18 - 11. Let r be s(b). Solve 0 = -4*p + 4*d + 32, -2*p + 4*d + r - 2 = 0 for p. 3 Suppose 96 = 17*c - 91. Suppose 4*j - 4*m = 0, -3*j + 7*m - c*m + 28 = 0. Solve g = j, 2*r + 2*g = 7*g - 14 for r. 3 Suppose 18 = 3*r + 6. Let p = 31 - 28. Solve r = -5*z - p*x - 0*x, -2*x = -z + 7 for z. 1 Let o = -9 - -14. Suppose 3*q - o - 4 = 0. Let i(v) = -10*v**2 + 132*v - 10. Let t be i(13). Solve -4*h = q*p + p, -4*p = t for h. 4 Let z be (-4)/46 - (-5 - 469/(-161)) - -1. Solve 2*w + i + 18 = 10, -z*w = -5*i - 14 for w. -2 Let f = -2857 - -2861. Solve -w - 5*g + 9*g = -13, f*w = 4*g + 28 for w. 5 Let i(w) = 58*w - 287. Let r be i(5). Suppose 3*a + 4*a = 4*a. Solve a = -f + 4*b + 5 + 5, -4*b = -r*f + 6 for f. -2 Let p = -11849 + 11865. Solve -111*g + 5*m = -107*g + p, 0 = 5*g + 3*m + 20 for g. -4 Let k(n) = -n**3 - 18*n**2 + 62*n - 18. Let v be k(-21). Solve v*a - 2 = 5*f, -8 = -2*f - a - 0 for f. 2 Suppose 2*o + 38 = -0*o - 3*d, o + 19 = -5*d. Let m = -33 - o. Let g = -10 - m. Solve p + 4 = g*u + 6*p, p - 2 = -2*u for u. 1 Suppose -810 = -242*i - 124*i + 654. Solve -28*s = -4*p - 24*s, -5*p - i = -s for p. -1 Suppose 0 = -348*r + 346*r - c, 27 = r - 4*c. Solve 0 = -k - d - 3, -9 + 2 = r*k + 5*d for k. -4 Let v be 13 - (-12 + -2 - -11). Solve 4*g = -4*k + v, -15 = -2*g - 2*g - 3*k for g. 3 Let a = 97 - 232. Let b = 140 + a. Suppose -b*h - 5 = -2*i, 8*h - 12 = -2*i + 6*h. Solve n = 5*w - i, 4*w - 5 = -4*n - 1 for w. 1 Let l(o) = o**3 + 21*o**2 - 20*o + 61. Let h be l(-22). Suppose 16*y + 3 = h*y, -p = y - 7. Solve -9 = -5*s - p*g, s + 0*s - 6 = -5*g for s. 1 Let o be ((17 - 4) + -1)/((-60)/(-90)). Solve 38 = 3*w + 3*f + 20, -2*w - o = -4*f for w. 1 Suppose 12*z = -594 + 762. Suppose -9*p + 13 = -z. Let x be 6/4*8/6. Solve 2*g + 0*g - x*n = 14, -p*n - 15 = 0 for g. 2 Suppose 4*l - 2*j = 122, -4*l - 3*j = -53 - 54. Suppose 3*i = 3*q - 2*i - 54, -i = -2*q + l. Solve -h = 4*h - 5*o - 15, -o + q = 3*h for h. 4 Let t(o) be the first derivative of -3*o**2/2 - 99*o + 18. Let j be t(-35). Solve 4*k = 5*r + 1, -6*k + k = r + j for r. -1 Let n be (6 - -21) + (-28 - -25). Solve -2*j - 5*v - 17 = 0, j - 7*v = -3*v + n for j. 4 Suppose -28279*p + 28290*p = 0. Solve 2*r = 6 + 4, p = 3*y + 4*r - 23 for y. 1 Let k(r) = -85 - 3*r + 82 + 13*r. Let z(n) = n + 1. Let d(u) = k(u) - 6*z(u). Let c be d(3). Solve 0 = -2*q - c*s + 4 - 0, 5*q - 5*s + 15 = 0 for q. -1 Let f = -6353 + 6368. Solve x = -3*t + f, t = 3*x - 62 + 57 for x. 3 Let b = 4589 - 4589. Solve b = 4*s - 16, q + 3*s + 5 = 18 for q. 1 Let u be ((-4)/3 - 2)/((-1)/(-12)). Let o be (13/52)/((-2)/u). Suppose 0 = -0*i + o*i - 20. Solve 0*c - 23 = -i*n + 3*c, 4*c = -4*n + 16 for n. 5 Suppose -2*i = -3*j + 2, 25*j - 24*j = -3*i - 3. Suppose j = -16*d + 2 + 46. Solve -d*f + 3*a = -0*a - 9, -a = 5 for f. -2 Suppose 62 = 4*o - 54. Let x = 28 - o. Let f be 1/((-1)/x) - (-23 + -8). Solve 2*v + v = 5*b - f, b + 8 = -3*v for b. 4 Let p be (2/(-12)*(0 - -57))/(4/(-24)). Solve p*g + 2*w = 54*g - 14, w = -4*g - 12 for g. -2 Let r(d) be the third derivative of 7*d**5/60 - d**4/24 - d**3/6 - 14*d**2 - d. Let i be r(1). Solve 0*b - 5*g + 25 = i*b, -b + g - 1 = 0 for b. 2 Suppose 0*b + 12*b - 1788 = 0. Suppose b*a - 155*a = -78. Solve 0 = 2*g - 7*g - 4*l - a, g + 8 = l for g. -5 Suppose -5*k - 9 = 2*s - 105, 5*s = k - 30. Suppose 0 = -3*u - 5*v - 8, -2*v - k = 3*v. Solve -4*j + 3*p = 13, 3*j = -u*p - 6 + 15 for j. -1 Suppose -330*t + 318*t = -60. Solve 2*h = -5*f + 9 + 16, 13 = -4*f + t*h for f. 3 Let n be (-812)/87*((-108)/(-7))/(-9). Solve 4*i + 117 = -o + 94, -2*o = 2*i + n for i. -5 Suppose -4*o + 206 = -5*p + 2921, 12 = 4*p. Let b = o + 688. Solve -3*v + b = 2*u, -17 = -3*u - 0*u - 2*v for u. 5 Let p(t) = t**2 - 16*t + 66. Let h be p(9). Suppose -2*v - 22 = -5*m - 4*v, h*m + 4*v = 2. Solve -5*s - 9 = 2*c + m, -s = 2*c - 5 for c. 5 Let x(c) = -2*c**2 + 11*c + 8. Let b be x(6). Suppose -3 = 2*a - 3*j, b*a - 44 = -2*a - 4*j. Solve 4 = -2*t - 3*q, t + q - a*q = -15 for t. -5 Let r = 2087 + -2082. Solve r*y + 15 = 0, -4*h + 1 = -5*y + 2 for h. -4 Let g be (2 - 4)*(-6 + -47). Suppose g = k + 92. Let i be (-25)/(-15) + -2 + k/6. Solve -2*h + 4*o - 22 = -0*h, -10 = -i*o for h. -1 Suppose 5*y + 56 - 266 = 0. Suppose -5*k - 22 = -y. Solve -3*h + 4*a + 16 = -h, -3*a - 12 = -k*h for h. 0 Suppose 2*h = -65 - 11. Let p = -36 - h. Let n be 2*p*(3/(-3) + 2). Solve n*f - 4*q = -16, -f - 5*q = -q + 9 for f. -5 Suppose 7*r - 244 - 1 = 0. Let j = r + -31. Suppose 3*v = -3*i + 12, 0 = i - 2*i + j*v + 9. Solve 0 = -y - 3, i*l - 5 = -3*y - 2*y for l. 4 Let j be 16/60*3 + (-3255)/(-525). Solve -17 = l - 5*y + j, -4*y = -5*l - 36 for l. -4 Let u be 7 + (5 - 112/14). Solve -4 = -5*z - u*c, -2*c = -z - 5*c - 8 for z. 4 Suppose 492 + 152 = 88*l + 4*l. Let n(m) = 2*m**3 - 2*m**2 + 2*m - 1. Let s be n(1). Let i = 3 + s. Solve -h - 8 = a, -h + 0 + l = -i*a for h. -5 Let p(j) = 178 + 28*j**2 + 1542*j - 766*j - j**3 - 753*j. Let g be p(29). Solve 3*x = 7*x + 3*s + 7, -3*s = x + g for x. -1 Suppose i = 17*i + 80. Let c(j) = -j**2 - 3*j + 2. Let w be c(-3). Let m be (88/(-55))/(w/i). Solve -m*o + 8 = -7*o - 4*k, 6 = -3*k for o. 0 Suppose -5*d + 147 = -53. Suppose -5 = 2*l + 3*u, 5*l + 7*u - 10*u = 40. Suppose 4 = 2*r - 0. Solve l*o + 0*o - 3*t = -d, -r*o = -3*t + 25 for o. -5 Let m(
{ "pile_set_name": "DM Mathematics" }
ided by x? 24 Let t be -3 + (8 - 6) - (0 + -11). Suppose u + u - 4*i = t, 2*u - 2*i = 12. What is the remainder when u is divided by 5? 2 Suppose -a = -6*a - 4*f + 83, -23 = -a - 4*f. Suppose 0*p = 4*p. Suppose p = -m + 3*n - n + 33, 3*m - 5*n = 95. Calculate the remainder when m is divided by a. 10 Let n = -53 + 306. Let v = n - 203. Calculate the remainder when v is divided by 26. 24 Let i be -2 - (-38 + (6 - 0 - 4)). Suppose -n + 48 - i = 0. What is the remainder when n is divided by 8? 6 Let x(h) = -13*h - 10. Suppose w = -u + 12, u - w - 36 = -2*u. Suppose -i = -3*i + u. What is the remainder when x(-3) is divided by i? 5 Suppose 165*v - 162*v - 387 = 3*z, -2*v - 2*z + 266 = 0. What is the remainder when 1045 is divided by v? 128 Let z be (((-490)/6)/(-7))/((-11)/(-33)). Suppose -90 = z*t - 510. What is the remainder when t is divided by 11? 1 Suppose y + 29*y = 660. Let j(z) = -5*z**2 + z**3 - 8*z + 0*z**2 + 8*z + 6. What is the remainder when j(6) is divided by y? 20 Suppose 91*g + 872 = 48*g + 51*g. Suppose 3*a + 53 = 5*m, -4*a + 2*a = 2*m - 18. Calculate the remainder when g is divided by m. 9 Suppose 40*g - 1961 = 4999. What is the remainder when g is divided by 43? 2 Let f = 9 + -15. Let l be -6*(3292/(-72) + f/(-27)). Suppose 0 = -8*k + k + l. Calculate the remainder when 114 is divided by k. 36 Calculate the remainder when 4277 is divided by 1 - ((-11092)/(-120)*-2 - (-4)/(-30)). 185 Suppose -10*a = 10*a - 18*a. Suppose a = -2*u + 4*u - 6, 0 = -5*z - 2*u + 126. Suppose 8*k + z = 11*k. Calculate the remainder when 47 is divided by k. 7 Suppose -3*p + 4*p = -2, -6 = -2*g + 5*p. Let n = -239 - -256. Calculate the remainder when (-69 - g)*(-3 - -2) is divided by n. 16 Let k be 2*1 + 340/20. Let w be (5 - k/4) + (-1)/4. Suppose 0 = 2*y - w*y - 70. What is the remainder when y is divided by 13? 9 Suppose -82*k + 79*k + 324 = -87. What is the remainder when 497 is divided by k? 86 Let m be (-6)/42 + 282/14. Calculate the remainder when 391/5 + (-4)/m is divided by 16. 14 Let c(o) = -95*o - 10. Let f be c(-2). Suppose 0 = 348*x - 342*x - f. What is the remainder when ((-174)/5)/((-8)/20) is divided by x? 27 Suppose 288*b + 570 = 292*b + 5*o, -3*o + 282 = 2*b. Calculate the remainder when 302 is divided by b. 2 What is the remainder when 237 is divided by (7 - -2)*1430/585? 17 Suppose -281*w = -236*w - 3195. What is the remainder when 248 is divided by w? 35 Suppose -4*h - 152 = -y, 546 = 3*y + 8*h - 5*h. What is the remainder when 2285 is divided by y? 173 Let g(h) = -6*h**2 + 4*h + 57. Let n be g(0). Suppose n*j = 45*j + 2556. Let c(t) = t**2 + 24. What is the remainder when j is divided by c(0)? 21 Let r(k) = -1 + 5*k + 2*k**2 + 1 - 2. Suppose -680 = 142*c - 112. What is the remainder when r(c) is divided by 4? 2 Let d(o) = 2*o - 23. Suppose q - g + 35 = 3*q, 5*q - 80 = -g. Let b be d(q). Suppose -2*x + 7 = -b. What is the remainder when 12 is divided by x? 5 Let u(y) = -5*y**2 - 97*y - 25. Calculate the remainder when 1321 is divided by u(-15). 101 Let d be ((-4 + 4)/3)/(1 - 0). Suppose d = 200*a - 197*a - 255. Calculate the remainder when a is divided by 43. 42 Let g be -4 + 2 + 2 + -6 + 2. What is the remainder when 5 is divided by -6*(-5 - g)*6/9? 1 Suppose 0 = -a - 5*m - 9, 0 = -4*m - 20. Calculate the remainder when 77 + 3/18*12 is divided by a. 15 Suppose 13*m - 16*m = -60. Suppose 8*z - m = 3*z. Suppose -z*u - 3*r - 13 + 74 = 0, -3*r - 56 = -5*u. Calculate the remainder when 64 is divided by u. 12 Let o(a) = -a - 136 + 102 + a**2 + 6*a. What is the remainder when 253 is divided by o(-11)? 29 Let c = 6849 + -6766. What is the remainder when 1659 is divided by c? 82 Let x = 223 - 126. Let o = x - 95. Calculate the remainder when 36 is divided by o. 0 Suppose -2*q - 6*r + 27 = -11*r, 2*q - 45 = -r. Suppose -1078 - 1421 = -q*b. What is the remainder when b is divided by 30? 29 Let h be (-1)/(-2)*0/4. Calculate the remainder when (h + 1)/((-19)/(-2071)) is divided by (-15)/3*(-55)/25. 10 Suppose 0 = k - 3*n - 14, -5*n = 3*k - 0*k. Suppose 0 = 2*j + 2*y - 112, -k*j = -3*j - 3*y - 87. Calculate the remainder when j is divided by 19. 13 Let z = 112 + -5. Suppose -p + 3*d = -15, 2*d = -75*p + 70*p + 58. What is the remainder when z is divided by p*-7*7/(-21)? 23 Suppose -5*m + 700 = 4*n - 0*n, -3*n - 735 = -5*m. Suppose 2*r - m + 112 = 0. Suppose r*q = 19*q - 45. Calculate the remainder when 44 is divided by q. 14 Suppose -13 = -q + j, 0 = -2*q + 3*j + 10 + 15. Suppose q*k - 5*k - 1215 = 0. Calculate the remainder when k is divided by 46. 43 Suppose 0 = -35*u + 17*u - 6570. Let r = -353 - u. Calculate the remainder when 48 is divided by r. 0 Suppose -45 = 209*p - 212*p. What is the remainder when 134 is divided by p? 14 Let m = 2710 - 2300. What is the remainder when m is divided by 33? 14 Suppose 651*y - 629*y = 9416. Calculate the remainder when y is divided by 11. 10 Calculate the remainder when (1/15*5)/(-3) + (-27320)/(-45) is divided by 597. 10 Let l = -2940 + 2972. What is the remainder when 90 is divided by l? 26 Suppose 3*x - 1496 = -4*o, -o + 203 = x - 170. Calculate the remainder when o is divided by 22. 3 Suppose 0 = -4*c - 2*v + 12, 0*c = -3*c + 3*v + 27. Suppose 0 = 5*y - 4*g - 723, c*y + 271 = 5*g + 996. What is the remainder when y is divided by 29? 27 Let a be 8/(32/(-220)) - 5. Let i = a + 69. Suppose 16 = -7*h + i*h. Calculate the remainder when 31 is divided by h. 7 Let c(r) = -2*r - 25. Let q be c(-15). Suppose 0 = 3*n - q*n + 6. Calculate the remainder when (3*52/(-18))/((-1)/n) is divided by 17. 9 Let u = -46 + -251. Let k = -227 - u. Calculate the remainder when k is divided by 9. 7 Suppose 2*c = 3*p, 2*c - 3*p = -c. Let h be (c/29)/(4 - 1). What is the remainder when (26/(-5) + h)*(-1 - 14) is divided by 29? 20 Suppose -5*q + 213 = 3*i, 4*i - 273 = 24*q - 27*q. Calculate the remainder when i is divided by 24. 18 Let c(j) = j**3 + 94*j**2 - 393*j - 85. Calculate the remainder when 324 is divided by c(-98). 12 Let s = -153 - -443. Suppose -3*l + s = 2*l. Suppose 0*y + l = y. What is the remainder when y is divided by 22? 14 Let i = 3587 - 3509. What is the remainder when 4055 is divided by i? 77 Suppose -y + 37 = 25. Calculate the remainder when (4 - 345/y)/((-1)/4) is divided by 10. 9 Suppose 0 = k + 5*i - 942, -5*k - 31*i + 4626 = -34*i. What is the remainder when k is divided by 31? 28 Suppose -332*w + 22592 = 348. What is the remainder when 308 is divided by w? 40 Suppose -3739 = -3*a - g, -1129 = 2*g - 1113. Calculate the remainder when a is divided by 57. 52 What is the remainder when 333 is divided by (2/(-8))/(9/(-2484))? 57 Let w be -1 + ((-12)/8)/((-3)/(-6)). Let y be -36*(22/w - 2/1). Suppose 0 = 5*c - 14*c + y. What is the remainder when c is divided by 11? 8 Let h(x) = 3086*x**3 + 2*x**2 + 10*x - 7. What is the remainder when h(1) is divided by 93? 22 Suppose 38*b - 54*b = -512. What is the remainder when 44 is divided by b + 0 - (-8)/(24/3)? 11 Let m(c) = -29*c. Let a be m(-1). Suppose 4*l + 5*v + 16 = 159, -l + v + a = 0. Suppose 2*t + 36 = 5*t. What is the remainder when l is divided by t? 8 Let h(n) = -2*n + 7. Let t be h(-3). Let u(f) = -2*f**2 + 25*f + 19. Let y be u(t). What is the remainder when 1/(-1) - (-21 - 1 - y) is divided by 7? 6 Suppose -159*n = -161*n + 128. What is the remainder when n is divided by 12? 4 Let y(t) = 1036*t + 2364. What is the remainder when y(19) is divided by 75? 73 Let w(u) = u**2 - 4*u - 9. Let m(l) = -5*l - 62. Let t = -66 + 25. Calculate the remainder when m(t) is divided by w(9). 35 Suppose -23 = 3*b - 56. Suppose b*r = 6*r + 75. What is the remainder when 47 is divided by r? 2 Suppose 2*p - 4*r = 50, 0 = -285*p + 280*p - 2*r + 185. Suppose -u + 3*x = -25, 25 = u - 3*x + 2*x. Calculate the remainder when p is divided by u. 10 Let r = 45 + -35. Suppose -5*j = d + 2*d - 181, 0 = -2*d - 5*j + 124. Suppose -3*a + 54 = -d. What is the remainder when a is divided by r? 7 Let n(i) = -35*i**3 + i**2 + 24*i + 47. What is the remainder when n(-2) is divided by 136? 11 Let b(a) = 108*a + 780. What is the remainder when b(0) is divided by 18? 6 Suppose 4*p = 3*q + 3297, 38*q = -2*p + 43*q + 1631. What is the remainder when p is divided by 83? 81 Suppose -2*g = 5*w - 53
{ "pile_set_name": "DM Mathematics" }
v - 6*v = 0. Suppose v*j - 5 = -j. Let p(t) = -t**2 + 4*t + 5. Let x be p(j). Solve -4*y = -x*y for y. 0 Suppose 2*r - 13 = -u, 2 = r - 2. Let k = u + -3. Suppose 2*d = -2*s - s + 2, -s = -k*d - 14. Solve s*q = -q - 5 for q. -1 Suppose -2*m = -12 - 8. Solve s + s = m for s. 5 Let i(p) = -p**2 + 5*p - 2. Suppose 3*m - 18 = -6. Let u be i(m). Solve u*d + d + 3 = 0 for d. -1 Let d(c) = c**2 + 4*c + 2. Let q be d(-2). Let l be (2 - 3)*(q - -2). Solve 0 = 4*b - l*b + 12 for b. -3 Suppose -55 = -5*y - 3*s, 3*y - 5*y = -4*s + 4. Let b(u) = 3 - 7 - 2*u + 3*u. Let h be b(7). Solve -y = -h*i + 5*i for i. -4 Let c = -26 - -26. Solve c = -2*h + 9 + 1 for h. 5 Let z = 3 + 12. Solve -3*s + 0 = -z for s. 5 Let p be (78/72 - (-2)/8)*3. Solve -3*c + p*c - 1 = 0 for c. 1 Let z be 1 + 1*(0 - -1). Solve -2*o - z = 6 for o. -4 Let v = -43 + 25. Let i = 20 + v. Solve 0 = i*p + 9 - 1 for p. -4 Suppose 3*o = 4*o - 2. Let u(j) = -2*j - 8 - j + o*j. Let b be u(-8). Solve b = -2*d + 4 for d. 2 Let h(p) = p - 1. Let n(j) = -j. Let i(m) = 3*h(m) + 4*n(m). Let d be i(-3). Solve d*z = -5*z - 15 for z. -3 Let x = -9 + 20. Let b(d) = -d**2 + 10*d + 13. Let z be b(x). Solve -u = z*u - 9 for u. 3 Let z be (-1)/(-3)*(-7 + 22). Suppose z*o - o - 20 = 0. Solve -b - 4*b - o = 0 for b. -1 Let d = -6 - -8. Solve -3*a - 3 = -d*a for a. -3 Let v = 10 - 10. Suppose 2*z + 4 = v, z - 9 = -5*m - 1. Solve i + m = 7 for i. 5 Let l = 36 - -1. Suppose 3*d - l = 5*j, 2*d = 5*d + j - 7. Solve -d = -2*z + 6 for z. 5 Let w(r) be the second derivative of -r**3/6 - 6*r**2 - 2*r. Let x be w(-14). Solve -x = -i - i for i. 1 Suppose -4*o = -12, -4*o - o + 9 = -3*m. Solve -m*h + 20 = 2*h for h. 5 Let h = 12 + -18. Let d(m) = m**3 + 5*m**2 - 6*m + 3. Let v be d(h). Suppose 3*c = 3*n + 9, 0*c - 21 = -3*n - 3*c. Solve 0 = v*r + 7 + n for r. -3 Let z(a) be the second derivative of -a**5/20 + 7*a**4/12 - a**3 + a**2 - 5*a. Let u be z(6). Solve 2 = -u*j + 4 for j. 1 Let h = -11 + 14. Let f be (1 - -2)*15/9. Solve 8*t = h*t - f for t. -1 Suppose 2*n = -6, 17 = -0*h - h + 3*n. Let k = -16 - h. Solve 0 = 3*d - 5 - k for d. 5 Let n = 3 + -3. Let o(f) = f**3 + 4*f**2 - 3*f + 11. Let s be o(-5). Solve t + s = -n*t for t. -1 Suppose -5*y - 3 - 17 = 0. Let g be (10/y)/((-19)/38). Solve 0 = g*b - b for b. 0 Let s = 41 - 35. Solve 7*u = s*u + 4 for u. 4 Let b be (1 - 6) + (-5 - -6). Let t be (2 + b)*-1*2. Suppose 2*w + 8 = 2*a, -a - 4 = -t*a - w. Solve 0 = -a*y + 3*y + 5 for y. -5 Let i(q) = q**2 + 4*q - 28. Let c be i(-8). Solve v + 15 = -c*v for v. -3 Suppose 4*m + 2*y = 14, 8*y + 35 = 4*m + 3*y. Let z(c) = c**3 - 6*c**2 + 4*c + 7. Let p be z(m). Let d = -2 + 2. Solve 4*t - p - 18 = d for t. 5 Let x(p) = -p**2 - 2*p + 3. Let k(m) = -m + 3. Let h be k(6). Let y be x(h). Suppose 3*i - 4 - 8 = 0. Solve y = -i*c - 1 + 21 for c. 5 Let f(h) = h + 5. Let j(l) = -l - 11. Let q be j(-11). Let i be f(q). Solve -5 = 2*p + i for p. -5 Let d = 5 + -3. Solve -z + 3 + d = 0 for z. 5 Let z(p) = 2*p**2 - p + 2. Let d be z(0). Solve -d*j + 15 = -7*j for j. -3 Let u be 9 + -3 + (-1)/1. Let t be (1 - 0)/((-1)/5). Let j be 22/u - (-2)/t. Solve 0 = j*q - 2*q - 8 for q. 4 Let i = -3 - -43. Suppose -5 + i = -f + 5*l, -40 = 2*f - 4*l. Let c be (-12)/15*(0 + f). Solve c*n = 3*n for n. 0 Let n(h) = -h**2 - 9*h + 5. Let b be n(-9). Solve b*m + 1 + 9 = 0 for m. -2 Suppose 3*q - 7*q = 4. Let w be (q - -2)*0*1. Solve w*x + 3 = x for x. 3 Let u(p) = -p**3 + 12*p**2 - 8*p - 33. Let a be u(11). Solve -2*d - 10 + 4 = a for d. -3 Suppose 5*f + 21 = 4*j, -3*j - 3*f - f = -8. Solve 5*u - 4 = j*u for u. 4 Suppose 1 = 2*u - 5. Suppose -u*p + 6*p = 0. Solve p*c = 4*c - 12 for c. 3 Let p = 26 - 21. Solve -p*y - 2 = 3 for y. -1 Let m be 3 + -1*4/(-4). Solve -m = l - 2*l for l. 4 Suppose 5*x + 86 = -3*g, -2*g + 4*x - 44 - 28 = 0. Let u = -17 - g. Solve -i + 6*i = -u for i. -3 Let y be ((-28)/(-8) + 1)*2. Suppose 0 = -4*g - 3*r + 18, g = 5*r - r - 5. Suppose -k + 6 = g. Solve -k*v + y = -0*v for v. 3 Let o = 6 + -3. Suppose 15 = 5*g + 3*w, 1 - 4 = -g + o*w. Solve -u + g = 2*u for u. 1 Suppose 3*i - h - 53 = 35, 20 = 4*h. Solve -11 = -5*c - i for c. -4 Let c(o) = o**2 + o - 4. Let y be c(-3). Suppose -4*d + 3 = k, 2*k + 2 = -3*d - y. Suppose 5*v = d + 73. Solve s + 4*s = v for s. 3 Suppose -11 + 1 = -5*d. Let w = d - -1. Let t = 9 + -8. Solve -t = w*u + 2 for u. -1 Suppose -2*u + m + 12 = -u, -3*u + 5*m = -28. Solve h + 3*h + u = 0 for h. -4 Let i(o) = 2*o - o**3 + 2*o**2 - o + 2*o**3 + 2. Let b be i(-2). Suppose 0 = -n - 1, 4*n = -3*q - n + 4. Solve b = -m + 4*m - q for m. 1 Suppose 0 = -j + 2. Let m = -6 - -9. Solve -m = j*f + f for f. -1 Let b = 23 - 10. Suppose -2*c + 2*d + 12 = 0, 3*c = 2*c - 3*d + 6. Let v = c + b. Solve 4 - v = -3*h for h. 5 Let v = -16 + 36. Let q = 2 + 2. Suppose 2*z = -0*z + q. Solve z*y = -2*y + v for y. 5 Let w = 8 + -3. Let f(i) = -i + 1. Let o(t) = t**2 + 5*t - 5. Let u(q) = 6*f(q) + o(q). Let z be u(0). Solve z - 21 = w*b for b. -4 Suppose 3*x - 7*x - 228 = 4*z, 4*z + 3*x + 229 = 0. Let g be (-2)/9 + z/(-18). Suppose j = 5*d - 26, -g*d + 20 = -4*j - j. Solve -d*p + 3 + 12 = 0 for p. 3 Let y be 2/4*310/5. Suppose -c - f = -0 - 8, 5*f = -2*c + y. Solve 3 = c*p - 2*p for p. 3 Let v(n) = -n**2 + 8*n - 3. Let y be v(7). Let b be -3*1*8/(-6). Let c = b + -2. Solve -6 - y = -c*g for g. 5 Let i(q) = q - 5. Let o be i(5). Suppose 4*t + 1 = 2*g - 9, 5*g - 25 = 0. Solve o = -3*r - t*r + 3 for r. 1 Suppose -l + 5*r - 7 = 0, -3*r - 25 = -5*l + 2*r. Solve -2*p + l = 18 for p. -5 Let r(i) = -i**2 + 11*i - 6. Let o be r(10). Let v(h) = 3*h**2 - 2*h + 1. Let m be v(2). Solve m = o*g + 29 for g. -5 Let k(a) = a**2 + 1. Let p be k(-1). Solve 0 = t + p*t - 9 for t. 3 Let u = -10 + 20. Let j be -2*u*(-2)/4. Let a = 18 - j. Solve a + 2 = -5*p for p. -2 Let f = 104 - 99. Solve -f*v + 3*v = 8 for v. -4 Suppose 0 = -4*f - 20, g = -3*g - 5*f + 83. Let r = g + -8. Solve -r = 5*w + 6 for w. -5 Suppose 5*u + 2*t = 22, -4*u - u = 4*t - 24. Suppose -z - u*h = -5*h - 7, 5 = -h. Solve z*v = 3*v for v. 0 Let n be 8/12 - 4/6. Let k = -2 - n. Let r be k/(-4)*2 - -7. Solve -r = m + 3*m for m. -2 Let r(c) = -c**2 - 7*c - 1. Let y be r(-6). Let q be (-9)/(-15) + 7/y. Solve 0*p + q*p + 10 = 0 for p. -5 Let q(w) = 4*w**2 + 2. Let m be q(-2). Let o = m + -10. Solve -o = 5*l + 2 for l. -2 Suppose -2*i + 4 = -2. Solve i*d - 21 = -6 for d. 5 Suppose -5*o + 5*f - 20 = 0, -4*o + 0*o - 8 = -2*f. Solve 0*w + 4*w = o for w. 0 Let g = 14 - 4. Let f = -11 + 20. Suppose 0 = -f*u + 6*u. Solve -2*w + g = -u for w. 5 Let f be (6 + -2)*5/4. Let s(h) = 6*h**2 + 5*h - 5. Let l be s(1). Suppose 0 = l*b - b + z - 25, b - 2*z - f = 0. Solve 0 = -6*a + a + b for a. 1 Suppose 4*b - 4 = 4. Solve 0 = -2*l + 4 - b for l. 1 Suppose n - 4*s = 0, -s + 2 = 1. Suppose 3*a + m = -4*m + 24, 0 = 4*a + n*m - 24. Let z = 4 - 2. Solve -g = -a*g + z for g. 1 Let d = 3 - 1. Suppose -2*z + 6 = -d*o + 5*o, -3*z + 9 = 3*o. Let a(t) = -t**2 - 9*t - 5. Let q be a(-8). Solve -q = -u - o*u for u. 3 Let d(b) = b**3 + 3*b**2 + 6. Let g be d(-3). Let j(w) = w**2 + 3*w + 5. Let i be j(-5). Solve -g*o = -3*o - i for o. 5 Let z(i) = -7*i + i**2 - 7 + 9 + 6. Let j be z(6). Suppose 3*g - 10 = -b, -50 = -5*b + j*g - 7*g. Solve 0*o = 2*o + b for o. -5 Let k(o) = -o - 10. Let m be k(-13). Solve m*c + 3 = 4*c for c. 3 Let l = 3 + -8. Let z = 1 + l. Let a be 2/z - (-11)/2. Solve -3*u - a - 1 = 0 for u. -2 Let t(o) = -o**3 - 8*o**2 + 2*o + 17. Let c be t(-8). Solve -4*l = -3*l - c for l. 1 Let l = -21 - -29. Suppose l*d = 3*r + 3*d + 5, -4*d + 16 = 0. Solve -r*z = -7 - 8 for z. 3 Suppose -2*c - 3*c + 5 = 0, c = -3*a + 16. Let l = a - 3. Solve l*o = 6*o for o. 0 Suppose 0 = 3*r - 6*r - 21. Let z(t) = -t**3 - 7*t**2 + t + 2. Let k be z(r). Let f be (-30)/(-12)*(-4)/k. Solve -f*w + 5 = 3*w for w. 1 Let b = 5 + -4. Suppose 4 - b = w. Solve w*v + 6 = 6*v for v. 2 Suppose -3*k + 5 = -5*d, -2*k - 4*d = -2*d - 14. Solve -3 = -4*r + k*r for r. -3 Suppose -r = -3*f - 0*r - 6, 0 = -3*f - 5*r + 12. Let t be (3 - 2 - 0) + f. Solve h - 2*h - 3 = t for h. -3 Let x = 0 - -3. Let s(q) = -3*q**3 + 2*q**2 + 2*q - 1. Let a be s(2). Let f = -13 - a. Solve -j + x*j = f for j. 0 Let r(n) = n - 6. Let f be r(9). Solve f*w - 4*w = -4 for w. 4 Let f
{ "pile_set_name": "DM Mathematics" }
r(n) be the first derivative of 6*n + 12 - 1/2*n**2 + 1/4*n**4 - 11/3*n**3. Let l be r(11). Give o(l). -5 Let l = 6 - 5. Let u = 23 - l. Suppose 2*z + i = 12, -3*i = 4*z - 6 - u. Let k(r) = -3*r + 5. Calculate k(z). -7 Let g(p) = -p**3 - 7*p**2 + 30*p + 3. Suppose -2*w + 111 = i + 129, 3*w + 12 = 0. Calculate g(i). 3 Let j be (-70)/(-22) - (-18)/(-99). Let n(t) be the third derivative of 0 + 1/24*t**4 + 0*t - 17*t**2 + 2/3*t**j. Determine n(-9). -5 Suppose -b + 152 = -3*c, -240 = 2*c + 3*c - 5*b. Let j be c + (12/(-1))/(-3). Let u = -46 - j. Let a(d) = d - 1. Give a(u). 1 Let a(g) be the second derivative of 41*g**3/6 - 283*g**2/2 + 47*g + 52. Calculate a(7). 4 Let m(y) = -y**3 - y**2 + 2. Let p(r) = 11*r**2 + 29*r + 8. Let c(i) = -7*i**2 - 19*i - 5. Let f(b) = -8*c(b) - 5*p(b). Let j be f(-7). What is m(j)? 2 Let u be ((4 - 4)/2)/(-2). Suppose u = v - 3, 3*v - 4*v - 9 = -4*o. Let q(f) = 10*f**o + 14 + 6*f**2 - 16 - 9*f**3. Calculate q(-6). -2 Let c(g) be the second derivative of g**5/20 - g**4/6 - 7*g**3/2 - 9*g**2 - 1399*g. Give c(6). 0 Let u(i) = -5*i. Let j(x) = x. Let d(n) = -18*j(n) - 4*u(n). Let t be (2/4)/((-14)/616). Let y = 27 + t. Calculate d(y). 10 Let l(j) = -7*j**2 + 20*j + 18. Let u(w) = 2*w + 51. Let d be u(-24). Let x(z) = 4*z**2 - 10*z - 9. Let o(v) = d*l(v) + 5*x(v). Give o(9). 18 Let b(k) = -k + 8. Let f be b(4). Let w be -1 + (200/5)/8. Let d(a) = w - a - 3 - 11*a**2 + 0*a - 2*a + 12*a**2. Give d(f). 5 Let i(h) = 13*h + 195. Suppose -5*n = -4*x + 87, 2*n + 565*x = 570*x - 45. Determine i(n). 0 Let v be (-102)/(-6) - -1 - 2. Suppose 8*d - 40 = v*d. Let i(j) = 2*j**2 + 8*j - 1. What is i(d)? 9 Let m(g) = -2*g**2 - 7*g + 9. Let h be m(-9). Let a be 20/h*(-1)/((-1)/(-9)). Let i(b) = b - 1. Give i(a). 1 Let q(x) = 15*x + 26. Suppose -476*o + 505*o + 63 + 53 = 0. What is q(o)? -34 Suppose -2756*f - 38 - 20 = -2785*f. Let u(m) = -11*m**3 + 17*m**2 - 4*m - 11. Let v(t) = 4*t**3 - 6*t**2 + t + 4. Let r(a) = 3*u(a) + 8*v(a). Calculate r(f). -5 Let i be -5*(660/(-50) + 12). Let r(h) be the third derivative of 9*h**2 - 1/24*h**4 - 2*h**3 - 1/120*h**i + 0 + 0*h - 3/20*h**5. Determine r(-9). -3 Let w be (-1 - -2)/((-5)/(-10)). Let i(m) = -17*m - 2*m + 4 + 5*m + 6*m - m**w. What is i(-4)? 20 Let y = -25 - -39. Let x(c) = -y + c - 4*c + 5. Let v be x(-5). Let w(q) = -q + 6. Give w(v). 0 Let u(t) = -33*t - 383. Let i be u(-12). Let k(g) = -g + 2. Calculate k(i). -11 Let n(x) = 266*x**3 + 11*x**2 - 3*x + 2*x - 499*x**3 + 234*x**3 - 25. Give n(-11). -14 Let z(n) = -5*n**2 + 2*n - 1. Let u(i) = -68 + 10 + 5*i + 5*i + 15*i - 41. Let o be u(4). What is z(o)? -4 Let z = -8 - -4. Let b(x) = -21*x**2 + 33*x + 41. Let o(s) = -13*s**2 + 20*s + 25. Let g(w) = -8*b(w) + 13*o(w). Calculate g(z). -3 Let f(h) = -19*h + 155. Let m(r) = -2*r + 40. Let p(t) = f(t) - 4*m(t). What is p(1)? -16 Let x(g) = -3*g**2 - 4*g + 10. Let q(c) = -9 + 2*c - 4*c + 3 - 2*c + 2*c**2 + 6*c. Let k(l) = 5*q(l) + 3*x(l). Determine k(3). 3 Let n(c) = 3*c**2 + 12*c - 80. Let s be n(-8). Let u(d) = d**3 + 13*d**2 - 3*d**2 - 3*d - s*d**2 + 6. Give u(6). -12 Let x(b) = -11*b + 17. Suppose 3*y - 4*g + 41 = 0, -25*y = -24*y - g + 11. Calculate x(y). 50 Let w(c) = -17*c**3 + 6*c**2 + 6*c + 22. Let t(a) = -47*a**3 + 18*a**2 + 19*a + 64. Let b(v) = -4*t(v) + 11*w(v). Calculate b(8). 34 Let n = -4351 + 4346. Let o(m) = 5*m + 32. Calculate o(n). 7 Let f(v) = -4*v**3 + 76*v**2 - 74*v + 35. Let c be f(18). Let g(m) = -2*m**2. Let a(n) = n**2 + n. Let j(q) = -a(q) + g(q). Give j(c). -2 Let m(w) = -w**3 + 4*w**2 + 3*w + 3. Let u be 10/(-25) + 168/20. Let v be (6 - u)/((-6)/87). Let p = v + -24. Determine m(p). -7 Let k(m) = m**3 + 5*m**2 - 10. Let z be k(-4). Suppose z*f = -51 + 15. Let d(w) = w**2 + 5*w - 4. What is d(f)? 2 Let j(v) be the second derivative of -3*v**4/4 + 23*v**3/6 - 2*v**2 + 14792*v. Calculate j(2). 6 Suppose 1594 - 1514 = -8*t - 0*t. Let r(d) = d**3 + 13*d**2 + 27*d + 31. Calculate r(t). 61 Let z(w) = w**2 - 2*w. Let i be z(2). Suppose 5*q + 13 = 4*y, 5*q + i = -3*y + 1. Let b(p) = 5 + 5 + y*p + 10*p - 11. Give b(1). 11 Suppose 7*i - 27 = 9*i + 5*x, -3*x = 21. Let z(n) = -2*n**2 - 33*n + 153. Give z(i). -11 Let t(a) = 11*a + 7. Let m(n) = 28*n - 281. Let o be m(10). Let k(x) = -2*x - 1. Let q(s) = o*t(s) - 6*k(s). Give q(-3). -4 Let p = 38873 - 38853. Let o(q) be the first derivative of -q**3/3 + 21*q**2/2 - 13*q - 3. Give o(p). 7 Let h(v) = -11*v - 1. Let d(z) = 3*z. Let r(o) = 9*d(o) + 2*h(o). Let p(c) = 6*c - 2. Let x(m) = 2*p(m) - 3*r(m). Determine x(4). -10 Let k(j) = j**3 - 4*j**2 - 5*j + 7. Let x = 140 + -128. Let d be (-116)/((2/2)/((-6)/x)). Suppose 38 = -4*g + d. Determine k(g). 7 Suppose -4*j - 10 = c, -2*c = 5*j - 9*j - 16. Let m(v) be the second derivative of -1/6*v**3 + 0 - v - 1/2*v**c. Give m(-1). 0 Let s = -1 - -3. Let i = 557 + -553. Let w(x) = -6*x + 1 + i*x - s*x + 3*x. Give w(-7). 8 Let r(v) be the third derivative of 7*v**5/60 - v**3/6 - 598*v**2. Let g(w) = -w - 8. Let d be g(-7). Let s be 1*d*(-6)/(-6). What is r(s)? 6 Let a(u) = u**2 - 2*u - 2. Let z be a(3). Let n(p) = 161*p - 351. Let s(h) = 141*h - 301. Let c(l) = -6*n(l) + 7*s(l). Determine c(z). 20 Let w be ((-1 - -1)/14)/1. Let f(t) = -2*t**2 + 7. Calculate f(w). 7 Let g(k) be the third derivative of -k**8/3360 + k**7/1260 + k**6/720 - 205*k**4/24 - 8*k**2 + k. Let h(q) be the second derivative of g(q). What is h(-2)? 22 Suppose -7*c - 7 = d, -4*c + 3*d + 31 = 35. Let s(y) = -4 + y - 3 + 6. Calculate s(c). -2 Let m(a) be the third derivative of a**6/120 + 11*a**5/60 - a**4 + 25*a**3/6 - 177*a**2 - 3. Determine m(-13). -1 Let c(t) be the second derivative of -t**6/720 + 7*t**5/120 + 12*t**4 - 167*t. Let z(k) be the third derivative of c(k). What is z(9)? -2 Suppose -34*c - 88 - 48 = 0. Let k be ((-27)/(-12) - 1)*c. Let j(i) = i**3 + 6*i**2 + 2*i - 3. What is j(k)? 12 Suppose -z = -2, -g - 6 = 4*z - 18. Let f(q) = q**2 + q - 4. Let c(n) = 2*n**2 - 4. Let r(i) = 2*c(i) - 3*f(i). Calculate r(g). 8 Let d(n) = -2*n**2 - 8*n - n**2 + 131 - 74 + 2*n**2 - 69. Calculate d(-13). -77 Let z = -917 - -921. Let w(j) be the first derivative of -z*j - 3/2*j**2 - 12. Calculate w(-3). 5 Let q be 1/(-2)*6 + -1. Let n(k) = -3*k**3 - 19*k**2 + 14*k + 2. Let s(i) = i**3 + 6*i**2 - 4*i. Let v(d) = -2*n(d) - 7*s(d). What is v(q)? -4 Let v(b) = -b**2 + 13*b + 3. Let p(u) = -u**2 + u. Let x(o) = 2*p(o) - v(o). Suppose -334*l + 332*l - 14 = 0, -2*l - 44 = 3*h. What is x(h)? 7 Let y be 428/(-54) - 2/27. Let f(v) = v**3 + 8*v**2 - 3*v - 19. Let r be f(y). Let p(x) = x**2 - 7*x + 2. Calculate p(r). -8 Let x(b) = -b**3 + 8*b - 3. Let m be x(3). Let r be -3*m/45 - (-36)/10. Let c(u) = 0*u - 1 + r - 9*u - 4. Give c(-1). 8 Let u(v) = -6*v**2 + 5*v. Let f be (4/(-3))/(8/(-42)) + -3 + -2. Give u(f). -14 Suppose 4*m + 2*a - 65 = -41, 0 = 2*m - 4*a - 12. Let t(v) = v**3 - 5*v**2 + 4. What is t(m)? 40 Let m(s) = -2*s**2 - 61*s - 473. Let f be m(-15). Let p(j) = j**2 + 9*j + 21. Give p(f). 13 Let j(y) = 2*y**2 - 11*y. Let l(x) = 1309*x - 13. Let s be l(1). Let f be s/168 + (-2)/(-7). Calculate j(f). 40 Suppose 15*h + 6*h = 546. Let a(o) = 4 + 25*o**2 - 7*o - o**3 - h*o**2 + 9*o**2. Let g be (-2 + 3 + -8)/(-1). Give a(g). 4 Let z = 3396 + -3396. Let w(o) = 3*o - 24. Give w(z). -24 Let u = 92 + -81. Suppose -12 = 15*h - u*h. Let s(j) = j - 5. Let i(m) = -2*m + 11. Let x(p) = 3*i(p) + 7*s(p). Determine x(h). -5 Let h(s) = -7*s - 26. Let q = -10510 + 10518. What is h(q)? -82 Suppose 0 = -5*f - 33 - 17. Let b(w) = 3*w**2 - 28*w + 32. Let v be b(8). Let z(r) = 35*r - 7 + r**3 + 11*r**2 - 45*r + 20*r + v*r**2. Give z(f). -7 Let n(m) = 4*m - m**2 - 2*m - 6*m - 16 - 6*m. Determine n(-5). 9 Let s(i) be the first derivative of 9*i**2/2 + 3*i - 796. Give s(1). 12 Suppose -9*m + 92 - 56 = -18. Let k(q) = -16*q + 93. Calculate k(m). -3 Let d(o) = -3*o + 42 - 125 + 39 + 53. Determine d(16). -39 Let o(c) be the first derivative of -1/2*c**4 + 1/2*c**2 - 2/3*c**3 + 0*c + 128. What is o(-2)? 6 Let o(h) = -h**3 - 11*h**2 + 27*h + 17. Let a be o(-13). Suppose 5*s + 24 = -a*b, -2*s - 3*b = -0*b + 11. Let j(c) = -c**3 - 6*c**2 - 7*c - 4. Determine j(s). -8 Suppose -40 = 5*i - 5. Let u(r) be the third derivative of r**4/24 - 4*r**3/3 + 3*r**2 - 217*r
{ "pile_set_name": "DM Mathematics" }
76866, 314454, 491352, 707560? 19655*u**2 + 3*u - 38 What is the c'th term of -280313, -560607, -840901, -1121195, -1401489? -280294*c - 19 What is the w'th term of 99113, 396354, 891755, 1585316, 2477037, 3566918? 99080*w**2 + w + 32 What is the n'th term of -1309217, -2618425, -3927633, -5236841, -6546049? -1309208*n - 9 What is the k'th term of 1372, 2455, 3254, 3769, 4000, 3947? -142*k**2 + 1509*k + 5 What is the s'th term of -11877195, -47508766, -106894719, -190035054, -296929771, -427578870? -11877191*s**2 + 2*s - 6 What is the o'th term of -2628383, -2628332, -2628281, -2628230? 51*o - 2628434 What is the p'th term of -2703708, -5407417, -8111134, -10814865, -13518616? -p**3 + 2*p**2 - 2703708*p - 1 What is the u'th term of 3553, 3823, 4303, 5017, 5989, 7243, 8803? 4*u**3 + 81*u**2 - u + 3469 What is the t'th term of 39264, 38903, 38282, 37401, 36260, 34859? -130*t**2 + 29*t + 39365 What is the x'th term of 476, 883, 1258, 1601, 1912, 2191? -16*x**2 + 455*x + 37 What is the d'th term of -1626, -951, 152, 1665, 3570, 5849, 8484, 11457? -3*d**3 + 232*d**2 - 1855 What is the d'th term of 125355, 1002848, 3384625, 8022828, 15669599? 125357*d**3 - 6*d + 4 What is the f'th term of -145864, -145854, -145836, -145810, -145776? 4*f**2 - 2*f - 145866 What is the j'th term of -3072, -5666, -8260? -2594*j - 478 What is the o'th term of -194512, -389102, -583692, -778282, -972872, -1167462? -194590*o + 78 What is the d'th term of -39798, -39785, -39772, -39759, -39746? 13*d - 39811 What is the o'th term of 172186, 344366, 516536, 688702, 860870? o**3 - 11*o**2 + 172206*o - 10 What is the t'th term of -434, -2259, -5132, -9053? -524*t**2 - 253*t + 343 What is the s'th term of -935, -1920, -3045, -4310, -5715, -7260, -8945? -70*s**2 - 775*s - 90 What is the m'th term of -126946905, -253893822, -380840739? -126946917*m + 12 What is the o'th term of -218790, -218739, -218590, -218295, -217806, -217075? 8*o**3 + o**2 - 8*o - 218791 What is the j'th term of 962, 2016, 3350, 4964, 6858, 9032? 140*j**2 + 634*j + 188 What is the c'th term of 30383, 60619, 90839, 121043, 151231, 181403? -8*c**2 + 30260*c + 131 What is the o'th term of -117, 3213, 12241, 29811, 58767, 101953, 162213, 242391? 474*o**3 + 5*o**2 - 3*o - 593 What is the r'th term of 412972, 413106, 413432, 414046, 415044, 416522? 16*r**3 + 22*r + 412934 What is the r'th term of -40284, -164120, -370512, -659460, -1030964? -41278*r**2 - 2*r + 996 What is the t'th term of -2850, -5630, -8394, -11142? 8*t**2 - 2804*t - 54 What is the o'th term of -2100, -8433, -19128, -34299, -54060, -78525, -107808, -142023? -19*o**3 - 2067*o**2 + o - 15 What is the w'th term of 22655, 26641, 30627? 3986*w + 18669 What is the p'th term of -2911, -27578, -95767, -229240, -449759, -779086, -1238983, -1851212? -3627*p**3 + p**2 + 719*p - 4 What is the d'th term of 1472497, 1472503, 1472513, 1472527, 1472545, 1472567, 1472593? 2*d**2 + 1472495 What is the o'th term of -226598, -454232, -681866, -909500, -1137134, -1364768? -227634*o + 1036 What is the g'th term of -7894, -15718, -23456, -31108, -38674? 43*g**2 - 7953*g + 16 What is the h'th term of -39880, -160354, -361140, -642238, -1003648? -40156*h**2 - 6*h + 282 What is the g'th term of -757248, -757145, -757042, -756939, -756836, -756733? 103*g - 757351 What is the m'th term of 3760421, 3760420, 3760419, 3760418? -m + 3760422 What is the o'th term of 545624, 1091235, 1636850, 2182469, 2728092, 3273719, 3819350? 2*o**2 + 545605*o + 17 What is the r'th term of 7785, 13542, 19301, 25062? r**2 + 5754*r + 2030 What is the q'th term of 3307, 5970, 8079, 9640, 10659, 11142? q**3 - 283*q**2 + 3505*q + 84 What is the r'th term of -422, -427, 232, 2101, 5726, 11653, 20428, 32597? 91*r**3 - 214*r**2 - 299 What is the b'th term of 30026, 60185, 90344? 30159*b - 133 What is the p'th term of 4173, 11128, 18083? 6955*p - 2782 What is the k'th term of 537998, 538094, 538190? 96*k + 537902 What is the p'th term of -373131, -372816, -372501? 315*p - 373446 What is the k'th term of -486, -501, -500, -483, -450? 8*k**2 - 39*k - 455 What is the n'th term of 26092, 52125, 78172, 104239, 130332, 156457, 182620? n**3 + n**2 + 26023*n + 67 What is the s'th term of -9355773, -9355758, -9355733, -9355698, -9355653, -9355598, -9355533? 5*s**2 - 9355778 What is the j'th term of -14778423, -14778424, -14778425? -j - 14778422 What is the w'th term of 1179, 1439, 1851, 2415, 3131, 3999? 76*w**2 + 32*w + 1071 What is the c'th term of 30478, 30572, 30662, 30742, 30806, 30848? -c**3 + 4*c**2 + 89*c + 30386 What is the p'th term of 8053736, 8053735, 8053734, 8053733, 8053732? -p + 8053737 What is the u'th term of -266925, -533851, -800777? -266926*u + 1 What is the y'th term of 373, 1728, 4081, 7510, 12093, 17908? 13*y**3 + 421*y**2 + y - 62 What is the p'th term of -81120, -79326, -77532, -75738, -73944, -72150? 1794*p - 82914 What is the k'th term of -23965995, -23966003, -23966011, -23966019? -8*k - 23965987 What is the x'th term of 335981, 1343922, 3023821, 5375678, 8399493, 12095266? 335979*x**2 + 4*x - 2 What is the i'th term of 359, 206, -129, -646, -1345? -91*i**2 + 120*i + 330 What is the l'th term of -8722926, -8722931, -8722948, -8722983, -8723042, -8723131, -8723256? -l**3 + 2*l - 8722927 What is the p'th term of -21575, -43296, -65017, -86738? -21721*p + 146 What is the w'th term of 5375079, 5374978, 5374877? -101*w + 5375180 What is the c'th term of 505672, 505674, 505680, 505690? 2*c**2 - 4*c + 505674 What is the l'th term of 6073954, 12147904, 18221854, 24295804, 30369754? 6073950*l + 4 What is the u'th term of -3481, -12227, -20973, -29719, -38465? -8746*u + 5265 What is the t'th term of -37164288, -74328575, -111492862, -148657149? -37164287*t - 1 What is the u'th term of -42026, -40654, -39284, -37916, -36550, -35186, -33824? -u**2 + 1375*u - 43400 What is the c'th term of 132466, 132476, 132494, 132520? 4*c**2 - 2*c + 132464 What is the y'th term of 11194835, 22389670, 33584505, 44779340, 55974175? 11194835*y What is the w'th term of 234, 468, 582, 570, 426, 144, -282, -858? -w**3 - 54*w**2 + 403*w - 114 What is the o'th term of -11096445, -22192888, -33289331? -11096443*o - 2 What is the x'th term of 21303282, 42606566, 63909850, 85213134? 21303284*x - 2 What is the a'th term of 126211, 504134, 1133769, 2015116, 3148175, 4532946, 6169429? 125856*a**2 + 355*a What is the q'th term of -314725, -1258929, -2832615, -5035783, -7868433, -11330565? -314741*q**2 + 19*q - 3 What is the w'th term of -2602, -3619, -4636, -5653, -6670? -1017*w - 1585 What is the d'th term of -16526, -32281, -48038, -63797, -79558, -95321? -d**2 - 15752*d - 773 What is the i'th term of 921, 1725, 2549, 3399, 4281, 5201, 6165, 7179? i**3 + 4*i**2 + 785*i + 131 What is the h'th term of 400538, 3204360, 10814742, 25634966, 50068314, 86518068, 137387510? 400547*h**3 - 2*h**2 - h - 6 What is the k'th term of 2488, -693, -6004, -13451, -23040, -34777? -k**3 - 1059*k**2 + 3*k + 3545 What is the j'th term of 865896, 865860, 865824, 865788, 865752, 865716? -36*j + 865932 What is the b'th term of -200065, -800182, -1800379, -3200656, -5001013, -7201450? -200040*b**2 + 3*b - 28 What is the z'th term of -2101986, -4204145, -6306304, -8408463? -2102159*z + 173 What is the b'th term of -55304, -110597, -165882, -221159? 4*b**2 - 55305*b - 3 What is the y'th term of 356160, 356106, 356018, 355896, 355740, 355550? -17*y**2 - 3*y + 356180 What is the j'th term of -1079598, -1079590, -1079582, -1079574, -1079566? 8*j - 1079606 What is the d'th term of 668983, 2675601, 6019965, 10702075, 16721931, 24079533? 668873*d**2 - d + 111 What is the z'th term of -5875857, -11751706, -17627555? -5875849*z - 8 What is the j'th term of 2502, 6317, 11512, 18087, 26042, 35377? 690*j**2 + 1745*j + 67 What is the f'th term of -362669, -723415, -1084161, -1444907, -1805653? -360746*f - 1923 What is the s'th term of -169556, -674653, -1516482, -2695043, -4210336? -168366*s**2 + s - 1191 What is the c'th term of 1159, 3936, 8337, 14362, 22011, 31284, 42181? 812*c**2 + 341*c + 6 What is the i'th term of -213857, -855512, -1924923, -3422078, -5346965? 2*i**3 - 213890*i**2 + i + 30 What is the m'th term of 225, 884, 2003, 3600, 5693, 8300, 114
{ "pile_set_name": "DM Mathematics" }
y? True Let y(r) = r**3 - 2*r**2 + 8. Does 31 divide y(5)? False Let w(t) = 6 + t - 4*t + 4*t - 1. Let c be w(-6). Is 17 a factor of c/(1/(-21)) + 1? False Let d be 6/2 + 4 + -12. Let r = d - -29. Is r a multiple of 12? True Let n = -138 + 348. Is n a multiple of 14? True Suppose -2*x + 2*j = -106, -5*x - j + 265 = 2*j. Let m = x - 36. Is 8 a factor of m? False Let t(n) = -35*n + 35. Is t(-7) a multiple of 14? True Let a(z) be the third derivative of z**4/4 - z**3/3 + 2*z**2. Is 8 a factor of a(2)? False Suppose 2*k - 74 = -12. Is k a multiple of 6? False Let f be 4466/42 - 2/6. Let z = f - 61. Is 15 a factor of z? True Let x(j) = j**2 - 13*j - 1. Does 8 divide x(15)? False Let s(f) = -2*f**3 - 7*f**2 + 2*f + 6. Is 26 a factor of s(-6)? False Suppose 4*r + 0*w + 11 = -w, r - 1 = -w. Let d(h) = -h**3 - 5*h**2 - 4*h + 1. Let u be d(r). Is 3 a factor of (3/u)/(-1 - -2)? True Suppose -3*l = -q - 126, -4*l = l + 4*q - 210. Is l a multiple of 8? False Let c(n) = 7*n**2 + 39*n - 10. Does 21 divide c(-7)? False Let d = 34 - -14. Is 6 a factor of d? True Let o = -57 - -107. Does 10 divide o? True Let w(u) be the first derivative of u**3/3 + 5*u**2 + 6*u - 1. Let h be w(-10). Suppose h*k - 2*k - 104 = 0. Is k a multiple of 15? False Suppose 3*b - 36 = -v, 5*b - 128 = -4*v + b. Is v a multiple of 15? True Let b be ((-3)/(-2))/((-15)/100). Let g be (-22)/(-5) - (-4)/b. Suppose -4*k = -4*x - 108, g*k - x + 2*x = 98. Does 11 divide k? False Suppose -2*f + 3*i + i = -106, 5*i - 148 = -3*f. Is f a multiple of 5? False Let n(i) = -i**2 - 2 - 1 + 8 - i**2 + 2*i. Let f be n(4). Let o = f - -35. Is o a multiple of 16? True Let p(x) = x**2 - x - 2. Let h be p(2). Suppose h = 3*s - 5 - 10. Does 5 divide (1 + 0)/(s/50)? True Suppose 0 = -5*k - 4*h + 101, -4*k - 2*h + 60 + 16 = 0. Does 5 divide k? False Suppose 10 - 4 = f. Does 5 divide f? False Suppose 20 = x - 18. Suppose p + x = 3*p. Does 19 divide p? True Let b = -97 - -340. Is 12 a factor of b? False Let z(y) = 3*y**2 + y - 6*y - y**2. Does 21 divide z(-4)? False Let r = -3 - 9. Let a be ((-8)/r)/((-2)/18). Let f(y) = y**3 + 6*y**2 + 6. Does 5 divide f(a)? False Let j be (-1 + 2)/((-8)/(-528)). Let s = 14 - 10. Suppose -j = z - s*z. Is z a multiple of 11? True Let q be 2 - (-12)/4 - 2. Suppose 144 = -2*x + 7*x + q*j, x - 5*j - 40 = 0. Is x a multiple of 15? True Suppose -8 = 4*y - 56. Suppose -18 = -2*x + y. Is x a multiple of 4? False Suppose -3*y + 11 = -1. Let g(l) = -l**3 + 5*l**2 - 3*l + 2. Let n be g(y). Suppose n*w - 50 = w. Is 10 a factor of w? True Let k(i) = -i**2 - i + 34. Let g be (-3)/(-15) - (-3)/(-15). Is 9 a factor of k(g)? False Let g(o) be the first derivative of o**5/20 + o**4/4 - 2*o**3/3 - 3*o**2/2 + 2*o + 1. Let i(f) be the first derivative of g(f). Is i(-3) a multiple of 9? True Let f be (-2)/6 - 205/15. Is 16 a factor of 14 + 7/(f/(-4))? True Does 31 divide 1522/22 + (-2)/11? False Let g(n) = n - 1. Let c(i) = -i - 10. Let k(l) = c(l) - 6*g(l). Let h(u) = u**3 - 4*u**2 + 4*u - 3. Let b be h(2). Is 6 a factor of k(b)? False Suppose 5*x - 70 = 15. Is x a multiple of 17? True Let n(a) = 5*a + 9*a + 1 + 1. Is n(2) a multiple of 16? False Let i(d) = -6*d + 1. Suppose -5*t + 13 = 33. Is 10 a factor of i(t)? False Let x = 56 - 30. Is x a multiple of 10? False Let b(n) be the first derivative of 1 + 2*n**2 - 3*n**2 + 0 - 7*n - 3. Does 13 divide b(-10)? True Suppose 9*o + 38 = 10*o. Is o a multiple of 11? False Let p = 84 - 64. Is 20 a factor of p? True Let i be 1228/22 - 2/(-11). Suppose 4*f - i = -3*a + 66, -8 = 4*a. Is 16 a factor of f? True Let i = -93 - -96. Is i a multiple of 3? True Suppose -3*u + 1434 - 369 = 0. Is u a multiple of 51? False Suppose -582 = 4*n - n. Is 12 a factor of (-2)/8 + n/(-8)? True Suppose 0 = -2*s + 9 - 1. Suppose 0 = -2*d + s*d. Is -1 + (0 - (d + -9)) a multiple of 4? True Let j(i) = 9*i - 16. Is j(3) a multiple of 2? False Let z be (-10)/(-3)*(-3 + 0). Let c = z - -4. Does 5 divide 16/3*c/(-2)? False Let c(y) be the second derivative of y**5/20 + 5*y**4/12 + y**3 + 2*y. Let a be c(-4). Let p = a - -13. Is p a multiple of 5? True Let c = 239 - 120. Does 22 divide c? False Suppose -5*l - 2 + 17 = 0, 4*l - 4 = 4*x. Suppose 6*z = x*z + 236. Is 16 a factor of z? False Let d(f) = -f**3 + 4*f**2 + 5*f + 3. Is d(4) a multiple of 6? False Suppose -5*k + 6 - 26 = 0. Is 2 + (-64)/k + -1 a multiple of 6? False Is 243/4 - 9/12 a multiple of 15? True Let s = 0 + -5. Does 9 divide s*1/(5/(-22))? False Let u(j) = -j**2 + 4*j - 1. Let d be u(3). Suppose 0*v + d*v = 4. Suppose v*b - 11 = -x, 2*x + 1 = -2*b - 3*x. Is 7 a factor of b? True Suppose -p - 14 = 4*u, 0 = -5*p - 4*u - 22 - 0. Let n be (3/p)/((-9)/18). Suppose -o - 12 = -n*o. Is o a multiple of 2? True Let d be 0/(-2 + 0/(-4)). Suppose -32 = -i - d*i. Is 14 a factor of i? False Let j(t) = t**2 + 2*t - 4. Let y be (0 - 1)*(3 + -7). Let d = 0 + y. Is 10 a factor of j(d)? True Suppose 0 = 4*u - 204 - 164. Is 23 a factor of u? True Let r be 12/(-5)*10/(-3). Let b = 11 - r. Suppose b*y - 14 = 10. Is y a multiple of 8? True Suppose -6 = -5*n - 3*k + 84, -27 = -2*n - 3*k. Let l = 52 - n. Is 11 a factor of l? False Let o(j) = -j**3 - j**2 - 1. Let w be o(2). Let u = w + 34. Is 6 a factor of u? False Let b(k) = 10*k - 11. Let r be b(-6). Let w = 101 + r. Does 15 divide w? True Let a = 10 + -5. Suppose 3 = s - 4*b + 4, 17 = 5*s + 2*b. Suppose -a*u = -4*r - 80, 3*u + 2 = s*r + 53. Does 4 divide u? True Let b(l) = -7*l - 2. Is 13 a factor of b(-9)? False Let d(n) = -438*n + 19. Let v be d(8). Is v/(-119) - 2/7 a multiple of 10? False Let l(g) be the third derivative of g**6/120 - g**5/6 - 7*g**4/24 - g**2. Is l(11) a multiple of 20? False Let b(m) = -m**2 + 2 + 3*m**2 + m - 1. Suppose -z + 4*z = 6. Does 4 divide b(z)? False Suppose 2*y = y + 5*q + 69, 0 = 5*y + 4*q - 461. Is y a multiple of 10? False Let i(m) = 34*m**2 + 2*m. Does 9 divide i(1)? True Suppose 0*j - 4*j = -8. Suppose 0 = 4*f - 18 - j, -2*v = 2*f - 32. Is 11 a factor of v? True Suppose x = 4*b - 179, 0*b = -2*b + 3*x + 97. Let i = b + -16. Is i a multiple of 7? True Let m(o) be the first derivative of 3*o**4/2 - o + 3. Let f be m(1). Suppose -4*l + f*l = 4. Is 2 a factor of l? True Let x(b) be the third derivative of -b**6/120 + b**5/12 + b**3/6 + 9*b**2. Does 19 divide x(3)? True Suppose 0 = f - 406 - 3. Let h = -244 + f. Suppose h = 4*c + 5. Is c a multiple of 16? False Is 5 a factor of -6*7/5*-5? False Let a = -7 - -65. Suppose -5*p + 158 - a = 0. Does 20 divide p? True Let w(y) = 32*y**2 + 1. Let n be w(1). Suppose 27 = -4*r - 3*j, -r - 5*j = 4*r + 35. Let g = r + n. Is g a multiple of 9? True Let r(l) = l**3 + 8*l**2 - 11*l - 4. Let q be -1*1 + -1 + -6. Let p be r(q). Suppose -p = -5*u + 31. Is 19 a factor of u? False Let b = -26 + 26. Is 19 a factor of -4 - -27 - (b + 1)? False Suppose -3*r - 968 = r. Does 24 divide r/(-10) + 1/(-5)? True Does 5 divide 0/(-10 - -6) - -10? True Let q(h) = 12*h**3 - h**2 + 5*h - 8. Is q(2) a multiple of 13? False Suppose -2*n - 3*n + 17 = -i, n = 1. Let o = i + 24. Is o a multiple of 3? True Let o = -8 - -18. Is o a multiple of 3? False Suppose -5*u - 5*n + 260 = 0, -4*u = -2*n - 288 + 56. Suppose -o - 4*x = -u, -3*x = 4*o - 67 - 105. Is 20 a factor of o? True Let x(a) be the third derivative of a**8/3360 - a**7/504 + a**6/720 + a**4/24 + 4*a**2. Let s(y) be the second derivative of x(y). Is s(4) a multiple of 18? False Suppose 2*g - 68 - 76 = 0. Does 12 divide g? True Suppose 0*n = n + 3*t + 10, 0 = -3*n + 5*t + 12. Let h be n + 3 + -1 + 2. Does 7 divide h/(-12) + 255/12? True Let l = -1 - -26. Is 2 a factor of l? False Let f(s) = s**2 - 8*s + 8. Let n be f(7). Let u(x) = 32*x**2 + x. Let k be u(n). Let q = k + -18. Does 15 divide q? True Suppose 2*l + 4*r = 1178, 4*l - 2321 = -2*r + r. Is (-8)/(-12) + l/9 a multiple of 13? True Let v = -496 + 908. Is v a multiple of 35? False Let r = -74 + 98. Is 6 a factor of r? True Let i(u) = 30*u**2 - 3*u. Is i(2) a multiple of 19? True Let o = 31 - 9. Is o a multiple of 11? True Suppose -4*v + 2*i = -3*v + 8, 3*v + 5*i = -68. Let k(g) = 6*g - 2. Let a be k(5). Let r = v + a. Does 6 divide r? True Suppose 44 = f + 2*m, -5*f - 5*m + 102 = -118. Is f a multiple of 22? True Let a(r) = -r + 1. L
{ "pile_set_name": "DM Mathematics" }
rt(100) - sqrt(100)) + sqrt(100))*-4))*-6)/(1*sqrt(20) + sqrt(25)/(sqrt(5) - sqrt(80))). 72*sqrt(5)/5 Simplify ((sqrt(132)/(sqrt(6)/sqrt(2)))/(sqrt(4)*-2*-4))**2 - ((sqrt(77) + sqrt(77)*-2 + sqrt(77))*6 + sqrt(77))/(sqrt(847) - sqrt(847)*2). 11/64 + sqrt(11)/11 Simplify -5*(sqrt(832) - (5*sqrt(832))**2)*-4 - ((sqrt(208) - (sqrt(208) + ((-5*sqrt(208)*4)**2 - sqrt(208)))) + -1). -332799 + 156*sqrt(13) Simplify (sqrt(153) + 3*sqrt(153)*-2 + (sqrt(153)*3 - sqrt(153))*-5)/((sqrt(81) + sqrt(81)*3)*-5*2). sqrt(17)/8 Simplify (-1 + sqrt(4050)*2 - 2*sqrt(4050)*-2 - (-1 + -3 + 4 + sqrt(4050)))**2 + 3. -450*sqrt(2) + 101254 Simplify (6*(-5 + (-4 + sqrt(3328)*3 - ((sqrt(3328) - (-2 + sqrt(3328))) + 1 + sqrt(3328) - sqrt(3328)))))**2. -41472*sqrt(13) + 1083456 Simplify (-1 + ((sqrt(15) + 1*sqrt(375))*-4)/(sqrt(48) - 4*sqrt(4800)))*-3. -6*sqrt(5)/13 + 3 Simplify (2 + (2*sqrt(833) - sqrt(833)) + 3 + -1*sqrt(833) + sqrt(833) + sqrt(833))**2 + (3*sqrt(17))**2 + sqrt(17) + 5 + sqrt(17)*4 + 0. 145*sqrt(17) + 3515 Simplify -1 + ((sqrt(7920) - (5*sqrt(7920)*-2 + sqrt(7920)))*1)/(4*-1*-1*sqrt(605)). -1 + 30*sqrt(11)/11 Simplify (3*((sqrt(6655) - ((sqrt(6655) - -5*sqrt(6655)) + sqrt(6655))) + sqrt(6655)))/(sqrt(99)*-2 + (sqrt(11) - sqrt(176))*3). 11*sqrt(5) Simplify (2*sqrt(14)*-6)/(sqrt(2) + sqrt(24)/sqrt(192) + sqrt(2)) - (-2*sqrt(70)*2)/(sqrt(1000)*1 + sqrt(10)). -164*sqrt(7)/33 Simplify -3*((-5 + 0 + 1*((3*sqrt(171)*1 - sqrt(171)) + 3*sqrt(171)*3 + sqrt(171)))**2 + -1). -73944 + 1080*sqrt(19) Simplify (((sqrt(152)*-3*1 - sqrt(152))*-5)/((sqrt(8) - (sqrt(8) - sqrt(88)/(-1*sqrt(11))))*-5) + -1)**2. -8*sqrt(19) + 305 Simplify (((sqrt(64) + sqrt(64)*1)*4)/(sqrt(88)/(sqrt(11) - sqrt(99))))/((sqrt(28) - (2*sqrt(168) + sqrt(168))/sqrt(6) - sqrt(28))/(sqrt(28)/sqrt(36))). 16*sqrt(2)/9 Simplify ((sqrt(90) + -2*((sqrt(90) - (sqrt(90) + -1*sqrt(90))) + sqrt(90)))/((sqrt(245)*2 - sqrt(245)) + sqrt(245)))/((-2*sqrt(36)*-2)/(1*sqrt(16))). -3*sqrt(2)/28 Simplify 0 + ((3*sqrt(396) + sqrt(396) - sqrt(396)) + -3)**2 + (-2*sqrt(5500))/(sqrt(5)*-1*1). -88*sqrt(11) + 3573 Simplify (6*sqrt(190)*5*5)/(((sqrt(350)*1)/sqrt(7))/sqrt(5)). 150*sqrt(19) Simplify 3*((sqrt(55)*-2)/sqrt(5) + (sqrt(11) - (sqrt(11) + 1 + -4)) + -3 + (sqrt(110)/sqrt(160) - (sqrt(77) + -2*sqrt(77))/sqrt(7))*3)**2. 1617/16 Simplify (-2*sqrt(76)*-3 + 3*sqrt(76)*5 + sqrt(76))/((sqrt(1372)*-1)/(3*sqrt(175))). -330*sqrt(19)/7 Simplify (2*(sqrt(825) - sqrt(825)*2)*-6)/((-1*sqrt(1584) - sqrt(1584))*-1*6). 5*sqrt(3)/12 Simplify (sqrt(154)/(sqrt(11)*3)*3)/(-6*sqrt(35)/sqrt(5) + sqrt(63)/(sqrt(9)*3)). -3*sqrt(2)/17 Simplify -4*(-1 + (-2 + sqrt(931))*4) + -1 + 5 + 5. -112*sqrt(19) + 45 Simplify (-3*(-1 + -5 + sqrt(76) + sqrt(76) + 1*-5*sqrt(304))*-5)**2. 43200*sqrt(19) + 1102500 Simplify 2*(2 + (sqrt(153) + (3*sqrt(153) + sqrt(153))*-6 + sqrt(153) - sqrt(153) - 5*-1*sqrt(153))/((-3*sqrt(81)*-2 - sqrt(81)) + sqrt(81) + sqrt(81)))**2. -48*sqrt(17)/7 + 1616/49 Simplify (4*sqrt(1260) - (2*sqrt(420))/sqrt(12))/(((sqrt(330) + 2*sqrt(330) + sqrt(330))/sqrt(6))/(sqrt(704)*2)). 88*sqrt(7) Simplify (sqrt(1700) + -3*(1*sqrt(1700))**2 + sqrt(1700))*-2 + (5 + -2*(sqrt(1377) + -2))**2. -364*sqrt(17) + 15789 Simplify (((-1*-1*sqrt(12))/sqrt(72))/(4*(-1*sqrt(729) + sqrt(9))/sqrt(3)))**2*-2*3. -1/3072 Simplify (5*((sqrt(242) + 4 + sqrt(242))**2 + 4 - sqrt(242)) - (2 + sqrt(242)*-1)*4)*-1. -4932 - 869*sqrt(2) Simplify 2 + (-2*sqrt(700) - sqrt(28)/sqrt(4)*-5) + 0 + sqrt(7) + sqrt(28)/(-1*sqrt(4)) + sqrt(7) + sqrt(7) + (3*sqrt(252))**2. -13*sqrt(7) + 2270 Simplify 4*(-4*(((1*sqrt(78)*1)/sqrt(6) - sqrt(130)/(sqrt(810)*-2 + sqrt(810))) + 0) + 1)**2. -320*sqrt(13)/9 + 83524/81 Simplify 3 + -4 + ((sqrt(13) + -2)*1*5 - (5*sqrt(104)*5)/sqrt(8)) + -1. -20*sqrt(13) - 12 Simplify 4 + sqrt(117)*-5 + 0 - (2*(sqrt(468)*-1 + -3))**2. -1904 - 159*sqrt(13) Simplify ((-5 + (sqrt(684) - (sqrt(684) + -1)) + sqrt(684) + -3)*3 + (sqrt(684) + -2 + 3 - sqrt(684) - (2 + 2 + sqrt(684) + sqrt(684) - sqrt(684)))*2)**2. -324*sqrt(19) + 1413 Simplify (-5*(sqrt(152) + sqrt(152)*1 + sqrt(152)))/(-1*sqrt(800)) - (-2 + (0 + sqrt(1216) - sqrt(19)) - (1*-2*sqrt(228) + sqrt(228))/sqrt(12))**2. -1220 + 67*sqrt(19)/2 Simplify (-2 + sqrt(208)*-2*-3 - (sqrt(104)/((sqrt(120)/sqrt(5) + sqrt(24))/sqrt(3)))**2*-2) + 4. 17/2 + 24*sqrt(13) Simplify -4*(((sqrt(1300) + sqrt(1300)*1)/(sqrt(44)/(sqrt(99) + sqrt(11))))**2 + (sqrt(13) - (sqrt(13) + 5*sqrt(65)/sqrt(5)))**2 + -3 + 5)*4. -338032 Simplify sqrt(190)/(sqrt(100)/(3*sqrt(10))) + -3 + (-6*-2*sqrt(95))/(sqrt(40)/(sqrt(24)/sqrt(3))). -3 + 15*sqrt(19) Simplify ((sqrt(243) + (sqrt(243) + -3*sqrt(243))*4)/(sqrt(9) + 4*(sqrt(225) - sqrt(9)))*-6*5)**2*6. 7144200/289 Simplify 1*(-2 + (-4 + (0 + 1 + sqrt(320))**2 - (-6*(1*sqrt(320)*1 + sqrt(320)))**2)). -45765 + 16*sqrt(5) Simplify 1 + (-4*(4*(sqrt(684) - (1 + sqrt(684))) + -5 + (sqrt(684) + sqrt(684)*-1*1 + sqrt(684) + sqrt(684) - (-5 + sqrt(684)*-2 + sqrt(684)))))**2. -2304*sqrt(19) + 98753 Simplify ((3*(sqrt(200) + 1 + sqrt(200) + sqrt(200)) - (sqrt(200) - -1*(sqrt(200) + 0)))**2 - ((sqrt(200) + sqrt(200)*2*4)**2 + 2))*-4. -1680*sqrt(2) + 25572 Simplify (sqrt(99)*3*-3)/(3*sqrt(144)) + ((sqrt(275) + -1*sqrt(275) + sqrt(275))*-3 + 4)**2 + -1. -483*sqrt(11)/4 + 2490 Simplify 5*(-1*((1 + sqrt(363))**2 + 5) - (3 + sqrt(363) + (-5 + sqrt(363)*1 - sqrt(363)))**2)*-1. -110*sqrt(3) + 3680 Simplify ((-5*-1*sqrt(90)/sqrt(3)*1)/(2*(-3*sqrt(12)/sqrt(2) + sqrt(384))))**2. 5/4 Simplify ((2*-2*sqrt(65) + (-2*-1*sqrt(65) - sqrt(65)))/(sqrt(605)*2*5 - sqrt(605))*1)**2*3. 13/363 Simplify (-4*(3 + sqrt(300) + 0) + (-2*sqrt(18)*1)/(sqrt(60)/sqrt(40)))*3. -132*sqrt(3) - 36 Simplify (sqrt(140)/(sqrt(35)/sqrt(5)) + sqrt(200)/sqrt(160))/(1*((1*sqrt(40))/sqrt(4) - sqrt(30)/sqrt(27))). 15*sqrt(2)/8 Simplify (1*sqrt(4617)*-3)/(-1*sqrt(24)/sqrt(8)*-5). -27*sqrt(19)/5 Simplify -1 + (((2*sqrt(112))/sqrt(7) + sqrt(16))/(sqrt(8)*2*3) + -5)*5. -26 + 5*sqrt(2)/2 Simplify (sqrt(1260)*2)/(6*sqrt(80) + sqrt(5)) - (((sqrt(126)*-2)/sqrt(9))/(sqrt(18)*4))**2. -7/36 + 12*sqrt(7)/25 Simplify -4*4*((sqrt(99) + 5*2*sqrt(99) - (1 + sqrt(99))*2) + (-2 + -2 + sqrt(99) - (0 + sqrt(99))*2))**2. -101952 + 4608*sqrt(11) Simplify (4*4*(-3 + sqrt(1008)) - -5*-3*(sqrt(1008) - (sqrt(1008) + -1))) + 2 + 4. -57 + 192*sqrt(7) Simplify ((sqrt(1088) + 2 + -5 - (-6*sqrt(187)*5)/sqrt(11))*5)**2 + 3. -5700*sqrt(17) + 613928 Simplify 2*(-4 + sqrt(4800))**2 + -4 + (sqrt(3) + (2*sqrt(432))**2 - sqrt(12)/(sqrt(4) + sqrt(16))). -1918*sqrt(3)/3 + 11356 Simplify (sqrt(280)/(sqrt(20)/sqrt(2)) + sqrt(4032) + sqrt(4032) + sqrt(4032) + sqrt(4032)*2)/(2*sqrt(16)/sqrt(4)*3*-2). -61*sqrt(7)/12 Simplify ((4*sqrt(240)/sqrt(4))/(-1*sqrt(588) - sqrt(588)) - (sqrt(90)/sqrt(2)*4)/(-3*sqrt(27)/sqrt(3))) + 3. 22*sqrt(5)/21 + 3 Simplify (5 + -1 + 3*(-3 + sqrt(63)*2 + 2) + -4)**2 + -4. -108*sqrt(7) + 2273 Simplify ((sqrt(80) + 2*sqrt(80) + -3 - 6*1*sqrt(80))**2 - ((sqrt(80) + -1 + 4)*4*-3)**2)*-6 + -3. 20304*sqrt(5) + 72519 Simplify (1*(((sqrt(153) + (sqrt(153) + -2 - sqrt(153)))*-2 - sqrt(153)) + 3*(sqrt(153) + (sqrt(153) + -2 - sqrt(153))) + sqrt(153))*2 + 0)**2. -48*sqrt(17) + 628 Simplify -3*(0 + ((sqrt(2448)*1 - sqrt(2448))*-2 + sqrt(2448) - (1 + sqrt(2448) + -1) - (-3 + sqrt(2448) + 0 - (1 + sqrt(2448))*2)))**2*-3. 1080*sqrt(17) + 22257 Simplify (sqrt(72)/sqrt(6)*3 - -3*sqrt(12)*-4)**2 - ((-5*(-2 + sqrt(363)*-1))**2 + 0). -8203 - 1100*sqrt(3) Simplify (((-2*sqrt(20)*2)/(sqrt(70)/sqrt(28)) - (sqrt(8)*-2 - -3*(sqrt(50) - sqrt(2))))*-1)**2. 512 Simplify (0 + (-6*3*4*sqrt(102)/sqrt(2))/(sqrt(27)/(sqrt(9)*-2) - (sqrt(432) + -1*sqrt(432) + sqrt(3))))**2. 39168 Simplify (-2*sqrt(132)*4 - sqrt(132) - -6*sqrt(132)*-2)/((-3*(sqrt(144)*2 + sqrt(144)))/(1*sqrt(768))). 56*sqrt(11)/3 Simplify -4*(3 + -6*(sqrt(300) + sqrt(300) + 3)) - (-5 + (sqrt(300) - 6*1*sqrt(300)))*-4. 40 + 280*sqrt(3) Simplify 4 + (6*4*((sqrt(500) + 1)*4 - sqrt(500) - (sqrt(500) - (-1 + (sqrt(500) + -1 - sqrt(500)))))*-6)**2*5. 8294400*sqrt(5) + 207774724 Simplify (-1 + (1*sqrt(108)*-1 + -1)*3 + (sqrt(108) - (1 + sqrt(108))) + 3 + (sqrt(108) - (sqrt(108) + sqrt(108) + (6*(sqrt(108) + 1) - sqrt(108)))))**2. 864*sqrt(3) + 8812 Simplify (((-2*sqrt(105) - sqrt(105))/sqrt(5))/(sqrt(27)*1) - ((sqrt(252) + -1*sqrt(252
{ "pile_set_name": "DM Mathematics" }
t replacement from {p: 4, t: 14}? 2/51 Four letters picked without replacement from lyyyhhyyhyyhhyylhy. Give prob of picking 2 h and 2 l. 1/204 Three letters picked without replacement from {y: 7, p: 7, m: 2}. Give prob of picking 1 p and 2 m. 1/80 Four letters picked without replacement from {z: 9}. What is prob of picking 4 z? 1 Calculate prob of picking 2 j when two letters picked without replacement from {x: 2, j: 18}. 153/190 Two letters picked without replacement from eeeqqeee. Give prob of picking 1 e and 1 q. 3/7 Three letters picked without replacement from {q: 1, s: 2, r: 4, k: 7}. What is prob of picking 1 s, 1 r, and 1 q? 2/91 Two letters picked without replacement from qpqmssssmpmm. Give prob of picking 1 s and 1 q. 4/33 What is prob of picking 1 l and 3 h when four letters picked without replacement from {k: 2, h: 4, u: 10, f: 2, l: 1}? 1/969 Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, n: 1, j: 1}. 3/10 What is prob of picking 1 u and 1 r when two letters picked without replacement from uuruuuruuur? 24/55 Two letters picked without replacement from wwrrwrrrrwrrw. What is prob of picking 2 w? 5/39 Two letters picked without replacement from eeyeyeyeyeyeeeebe. What is prob of picking 1 e and 1 b? 11/136 Three letters picked without replacement from ttetxxt. Give prob of picking 2 x and 1 t. 4/35 Three letters picked without replacement from {h: 2, y: 4}. What is prob of picking 2 y and 1 h? 3/5 Three letters picked without replacement from {z: 1, k: 7, v: 2, i: 1, b: 1, q: 2}. Give prob of picking 1 z and 2 v. 1/364 What is prob of picking 1 k, 2 x, and 1 y when four letters picked without replacement from xxykkxxyx? 20/63 Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {l: 1, z: 1, a: 1}. 1/3 What is prob of picking 1 l, 1 e, and 1 q when three letters picked without replacement from qeeellqqqelqeeq? 108/455 Calculate prob of picking 2 u and 2 v when four letters picked without replacement from eueuveevvveev. 2/143 Two letters picked without replacement from {t: 4, p: 2, k: 4, e: 5}. Give prob of picking 1 e and 1 p. 2/21 Calculate prob of picking 1 f and 2 u when three letters picked without replacement from dfddudfodudufjfj. 3/140 Three letters picked without replacement from llgqllgglgqlgyggqg. What is prob of picking 1 y and 2 l? 5/272 Calculate prob of picking 1 u and 3 t when four letters picked without replacement from {t: 3, u: 1, j: 2, e: 1, z: 5}. 1/495 What is prob of picking 2 q and 1 b when three letters picked without replacement from bqqtqbqtbqbtbqbtq? 63/340 Two letters picked without replacement from ddqaxaaaddxxdddxxddd. What is prob of picking 2 a? 3/95 What is prob of picking 2 m and 2 l when four letters picked without replacement from mmmlmmmlmmmlllmmmll? 231/646 Two letters picked without replacement from bchreem. What is prob of picking 1 m and 1 h? 1/21 Calculate prob of picking 1 b and 2 g when three letters picked without replacement from bbgglgbg. 9/28 Three letters picked without replacement from {g: 1, m: 5, e: 3, x: 2, a: 8, r: 1}. What is prob of picking 2 m and 1 e? 1/38 Three letters picked without replacement from {t: 3, s: 1, j: 3, b: 2, m: 2, c: 9}. Give prob of picking 1 b and 2 t. 1/190 What is prob of picking 1 f, 1 h, and 1 r when three letters picked without replacement from vhhzrhf? 3/35 Three letters picked without replacement from vjjrzvf. What is prob of picking 1 v, 1 r, and 1 j? 4/35 Calculate prob of picking 2 r and 1 o when three letters picked without replacement from rorrrqqrqqrqyror. 1/10 Two letters picked without replacement from egeqeugye. Give prob of picking 1 e and 1 u. 1/9 Two letters picked without replacement from {b: 1, w: 5, d: 1, n: 3, f: 1}. What is prob of picking 1 b and 1 n? 3/55 Calculate prob of picking 1 i and 2 s when three letters picked without replacement from {i: 5, s: 9}. 45/91 Calculate prob of picking 1 e and 3 r when four letters picked without replacement from errrpre. 8/35 Calculate prob of picking 2 o, 1 v, and 1 t when four letters picked without replacement from optpftppvotfppo. 3/455 Calculate prob of picking 2 m and 2 f when four letters picked without replacement from mefeetemtetzteetehmf. 1/1615 Calculate prob of picking 1 d and 1 w when two letters picked without replacement from wzddzzwdwzdwdddwdz. 40/153 What is prob of picking 1 m and 2 s when three letters picked without replacement from ssmmms? 9/20 Calculate prob of picking 3 c when three letters picked without replacement from ccccccccc. 1 Two letters picked without replacement from {y: 5, f: 2, m: 4, c: 2}. Give prob of picking 2 c. 1/78 Two letters picked without replacement from {p: 6, a: 6}. Give prob of picking 2 p. 5/22 Three letters picked without replacement from dxxxikxdxixx. What is prob of picking 1 k and 2 d? 1/220 Three letters picked without replacement from {o: 1, b: 1, g: 1, q: 1, k: 1}. Give prob of picking 1 k, 1 g, and 1 b. 1/10 Three letters picked without replacement from gzdzgw. Give prob of picking 1 g, 1 z, and 1 w. 1/5 Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {d: 4, g: 1, a: 1, w: 9, h: 4}. 4/171 Four letters picked without replacement from {b: 5, i: 8}. Give prob of picking 4 b. 1/143 Calculate prob of picking 1 y and 1 f when two letters picked without replacement from ysfjtsttttltjt. 1/91 Calculate prob of picking 4 j when four letters picked without replacement from jjgjjjjjgjjjgg. 30/143 What is prob of picking 1 l and 2 e when three letters picked without replacement from eeeeeeleleeelee? 198/455 Four letters picked without replacement from cnrwrnwcccn. Give prob of picking 2 c and 2 n. 3/55 What is prob of picking 3 j when three letters picked without replacement from jjjjj? 1 Three letters picked without replacement from {s: 1, i: 1, a: 2, f: 1, e: 1, k: 1}. What is prob of picking 1 k, 1 a, and 1 f? 2/35 What is prob of picking 2 x and 1 w when three letters picked without replacement from zxzmdwmxmoxmmodoom? 1/272 Two letters picked without replacement from buhboo. Give prob of picking 1 u and 1 b. 2/15 Four letters picked without replacement from sssssssqssqssssssss. Give prob of picking 2 q and 2 s. 2/57 Calculate prob of picking 1 j, 1 v, 1 c, and 1 o when four letters picked without replacement from jvocv. 2/5 Four letters picked without replacement from {u: 3, d: 3, c: 7, s: 2}. What is prob of picking 1 d and 3 u? 1/455 Two letters picked without replacement from {l: 2, q: 4}. Give prob of picking 1 l and 1 q. 8/15 Four letters picked without replacement from tttgrxtgrtxgtddxff. Give prob of picking 1 g, 1 t, 1 d, and 1 f. 2/85 Three letters picked without replacement from qwqxwwwxwwwwwwwwqw. What is prob of picking 1 w and 2 x? 13/816 Calculate prob of picking 1 y and 3 x when four letters picked without replacement from {x: 5, y: 9}. 90/1001 Calculate prob of picking 3 t and 1 o when four letters picked without replacement from {o: 1, t: 11}. 1/3 Four letters picked without replacement from vxqnunuxnvxxxnxrx. What is prob of picking 1 n, 1 x, and 2 v? 1/85 Four letters picked without replacement from fwfccffffwfffffwcxff. What is prob of picking 2 f, 1 c, and 1 w? 234/1615 What is prob of picking 2 k and 2 a when four letters picked without replacement from aaaaaaekaakkayekaaa? 33/323 Four letters picked without replacement from mmwwwwmmmm. Give prob of picking 1 m and 3 w. 4/35 What is prob of picking 1 k and 1 m when two letters picked without replacement from {c: 2, y: 1, k: 3, m: 1}? 1/7 Four letters picked without replacement from {a: 2, x: 4, y: 5, o: 4}. Give prob of picking 2 a and 2 y. 2/273 Two letters picked without replacement from ppppqqqqqqpq. What is prob of picking 2 q? 7/22 Calculate prob of picking 1 b and 2 l when three letters picked without replacement from bmmlmlqnlmm. 1/55 Two letters picked without replacement from {y: 1, s: 1, h: 1, j: 5, d: 1, o: 3}. Give prob of picking 1 o and 1 d. 1/22 Two letters picked without replacement from {v: 1, s: 1, k: 2, q: 1}. Give prob of picking 1 q and 1 v. 1/10 What is prob of picking 2 w and 1 d when three letters picked without replacement from {c: 7,
{ "pile_set_name": "DM Mathematics" }
1939/863550. What is the common denominator of y and 47/11? 3762 Find the common denominator of (125/(-1125))/((-8)/53) and 29/306. 1224 Let k = 141138934/429 - 328995. What is the common denominator of -62/195 and k? 2145 Let g(z) = 3*z - 18. Let c be g(11). Suppose -h + 0*h + 5*q + c = 0, -q = -h + 19. What is the lowest common multiple of h and 44? 220 What is the common denominator of 14/(-12)*(-2)/(-14) and (-6)/5*(0 - 5) + (-99066)/12958? 186 Let s = 13 + -11. Suppose 20 = s*z + 4*u, -3*u + 7*u = 5*z - 22. Calculate the least common multiple of 33 and z. 66 Let j = -232 + 236. Let z = 3 + 8. Calculate the least common multiple of z and j. 44 What is the least common multiple of -105*(-9)/90*(-22)/(-3) and 119? 1309 Let v(q) = 14*q. Calculate the least common multiple of 8 and v(1). 56 Let g = 3783511/54 - 70067. What is the common denominator of g and 139/18? 54 Let t = -27 - -21. Find the common denominator of 71/22 and 1/t*(-1170)/(-80). 176 Let s(r) be the first derivative of -7/2*r**2 - 1/3*r**3 + 4 - 6*r. Calculate the least common multiple of s(-5) and 10. 20 Let q = -50 + 50. Suppose q = -4*j + 3 + 1. Calculate the smallest common multiple of 11 and j. 11 Suppose 5*p = -3*f - 169, -8*p + 3*p - 181 = -3*f. Calculate the lowest common multiple of 14 and ((-52)/5)/(14/p). 182 Let m = -1308 + 1320. Suppose 0 = -2*q - 0*q + 160. What is the least common multiple of m and q? 240 Calculate the common denominator of -107/28 and (-12)/16*((-234)/(-45) + 1). 140 Suppose -2*f - f = -12. Suppose 0 = 3*q + 2*d - 4238, -2*q = 3*q - 4*d - 7034. Calculate the common denominator of 59/24 and q/(-288) - f/6. 48 Let l = -1406 - -7052/5. Find the common denominator of l and 67/36. 180 Suppose 6*s = 3171 + 2385. What is the least common multiple of 4 and s? 1852 Let o be (5 + -2)/(12/64). Find the common denominator of -1 - (-16)/12 - o and 73/6. 6 Let s = -322/9 - -595/36. Find the common denominator of -89/40 and s. 40 Let s = -96 + 142. What is the smallest common multiple of 16 and s? 368 Suppose 27 = 8*a - 29. Calculate the lowest common multiple of a and 7. 7 Suppose 2*j = -0 + 8. What is the least common multiple of 12/6 - (-4 - -4 - 2) and j? 4 Let o = 1681/5 - 278. Let i = 97/10 - o. What is the common denominator of -13/10 and i? 10 Suppose -3*j + 43 = -5*v, 5*j = j - 5*v + 34. Let r = 10 + -2. What is the lowest common multiple of r and j? 88 Suppose 2*k - 3*k + 9279 = 0. Let p be (326777/44)/((-4)/5). Let u = k + p. What is the common denominator of u and -49/8? 16 Let s(b) = -b**3 - 7*b**2 - 7*b - 5. Let a be s(-6). Suppose 2 = -g, -4*u + 21 + a = -3*g. Calculate the lowest common multiple of 12 and u. 12 Suppose 2*g - 1 = -5. Let q(z) = -z - 2. Calculate the least common multiple of ((-1)/g)/((-1)/(-4)) and q(-9). 14 Let d be 6*(-4 - (-24)/(-9)). Let s = 19 + d. Let w = -17 - s. Calculate the lowest common multiple of w and 4. 4 Suppose -j + 3*j = -82. Let q = j - -43. Calculate the lowest common multiple of 2 and q. 2 What is the common denominator of -44/9 and ((-6)/(-1416))/((-60)/144)? 2655 Let t be (-3 + -11)/(0 - 1). Suppose -t*u + 13*u + 10 = 0. What is the lowest common multiple of 14 and u? 70 Let g = -82 + 49. Let m = g - -55. Calculate the least common multiple of m and 38. 418 Find the common denominator of 41/18 and (-9)/12*(-2198)/1323. 126 Let j = 23/6 + 80/3. What is the common denominator of j and -1 - 2/((-8)/158)? 2 Calculate the lowest common multiple of 132/(-9)*9*(-13)/4 and 165. 2145 Find the common denominator of (12/(-300))/((-8)/430) and (55/2)/(0 - (-6 - -4)). 20 Let c(w) = -w**2. Let z be c(0). Let n = z + 20. What is the lowest common multiple of 18 and n? 180 What is the common denominator of (-301)/84*(-27)/(-576) and 21/32? 256 Let g = -5209 - -145805/28. Calculate the common denominator of 79/70 and g. 140 Suppose 9*l - 4*l - 100 = 0. Suppose 0 = -0*g + 4*g - l. Suppose 5*p = -g*m + 35, 0 = -0*m - 2*m - 6. Calculate the least common multiple of p and 18. 90 Suppose -11 = -5*q - 2*w + 63, 4*w - 36 = -3*q. Let y(h) = h**2 - 15*h - 4. What is the least common multiple of y(q) and 15? 60 Let w = 183627/15170 + -7/1517. Calculate the common denominator of 91/50 and w. 50 Let d be (3 - 1) + 2 + 12. Suppose 0 = 9*v - 88 + d. Calculate the least common multiple of 0 + 1 - (-9 - 0) and v. 40 Suppose 0 = d + 5*v - 3, -5*d + 4 - 17 = -3*v. Let y be ((-450)/(-8))/(d/8). What is the common denominator of 49/10 and (330/y)/(2/12)? 10 Let q = -42774 + 2566313/60. Find the common denominator of -65/48 and q. 240 What is the smallest common multiple of (3/(-2))/(10/(-635 - 5)) and 80? 480 Let s = 5595107965/190494033 + 20/1040951. Let v = s - 361936/13359. Let z = -4/73 - v. Find the common denominator of -67/6 and z. 6 What is the common denominator of (-4)/(-6) + 133/49 and 0 + (43/(-6) - 1)? 42 Let h = -1778322 + 745696. Let u = 6239531/6 + h. Let w = -7277 + u. What is the common denominator of w and -91/22? 66 Let u be (-3 + (0 - -3))/1. Suppose u = 4*f - 3*r - 43 + 7, 4*f = 2*r + 32. Let h(t) = 2*t - 10. Calculate the least common multiple of h(f) and 10. 10 What is the common denominator of -79/160 and (-18)/45 - 1368/1280? 160 Suppose a = -5*c + 144, c + 4*a - 55 = -11. What is the common denominator of 75/(-231) + (-4)/(-22) and ((-210)/c)/((-7)/(-4))? 7 Let g(u) = -u**3 - 6*u**2 + 6*u - 4. Let i be g(-7). Suppose i*o = o + 28. Let w = -12 - -30. What is the smallest common multiple of w and o? 126 Let u = -11 + 15. What is the smallest common multiple of (-6 + (u - 2))*-4 and 10? 80 Suppose 0*r + r + 2*f = 15, -4*r + f = -33. Suppose 2*b - 17 = -r. What is the least common multiple of b and 2? 4 Let v = -60 - 296. Let c be (2 - v/(-30))*-10. Let m = -109 + c. Calculate the common denominator of -73/3 and m. 3 Let t(c) = c**2 - 5*c - 6. Let f be t(8). Let h be (-9)/f + (-3)/2. Find the common denominator of 71/6 and (h/(-110))/(2/(-505)). 66 What is the common denominator of 47/5 and (-2)/(-9) - (-40384)/(-28800)? 50 Suppose 3*y = -3*b + 6, -15 = 2*b - 6*b + 3*y. Suppose b*m = -n + 28, 5*m = -1 + 21. Calculate the least common multiple of n and 8. 16 Let t(i) = i**2 - 3*i - 22. Let c = 6 - 3. Suppose 2*f = 5*q - 54, c*q - 5*f - 34 = -13. Calculate the smallest common multiple of q and t(7). 12 Let v = 18 + -23. Let i = v - -8. Calculate the smallest common multiple of 7 and i. 21 Suppose 1 + 5 = -2*g. What is the common denominator of (-125)/(-100) + 316/(-176) and 23/g*(-2)/(-1)? 33 Suppose -1423 - 1574 = -9*i. What is the lowest common multiple of i and 1? 333 Let l = -3837/248 - -158/31. Calculate the common denominator of 4 - -1 - 803/(-66) and l. 24 Let u = -41 + 291. Calculate the smallest common multiple of 15 and u. 750 Suppose -7 = 7*i - 3*i + 3*u, 3*i - 31 = 5*u. Suppose -3*a = -5*y - 95, -2*y + 0*y = i. What is the smallest common multiple of 21 and a? 210 What is the common denominator of ((-2)/(-48))/(6 + (-23683)/3938) and -101/180? 180 Let n(r) = -35*r + 605. What is the lowest common multiple of n(17) and 40? 40 Let f = 749 + -748. Suppose 2*b = 3 + 3. Suppose 2*d = d + 3*m - b, -2*d - f = -5*m. What is the least common multiple of 8 and d? 24 Suppose -2*i = -i - w - 27, -3*i + 76 = -2*w. Let b = -11 + 19. Calculate the lowest common multiple of b and i. 88 Suppose 0 = -2*n + 5*x - 8 + 19, 17 = -n - 5*x. Find the common denominator of 44/101 and 0/14 + ((-129)/(-30) - n). 1010 Let i = -338 - -128. Let y = 4069/2 - 1998. Find the common denominator of (-2)/5 + 366/i and y. 14 Let t = 1/6186 - 17537/61860. Find the common denominator of t and 79/70. 420 Suppose -12*z - 2 = -14*z. Find the common denominator of (172/(-80) + 0)/z and 9/26. 260 Suppose 0 = 13*k + 15679 + 3990. Let l = 12175/8 + k. What is the common denominator of 1 + 0 - 34/(-8) and l? 8 Let n = 2801/3 + -943. Suppose 0 = -3*u + 2561 + 8251. Let c = 21685/6 - u. Calculate the common denominator of c and n. 6 Let v(s) = s**2 - 9*s + 14. Calculate the least common multiple of v(10) and 264. 264 Let j be (-5900)/(-33) + 2/3. Let s = 14255/22 - j. Let q = s + -5495/12. Find the common denominator of q and 27/4. 12 Calculate the lowest common multiple of (-948)/(-40)*2 + 2/(-5) and 8. 376 Let v = 5 + -1. Let i be (1 - 13/5)/((-6)/75).
{ "pile_set_name": "DM Mathematics" }
2 Calculate the highest common factor of 12730 and 171. 19 Calculate the greatest common factor of 63 and 777. 21 Calculate the greatest common divisor of 390 and 1490. 10 What is the greatest common divisor of 48 and 1040? 16 Calculate the greatest common divisor of 6205 and 51. 17 Calculate the greatest common divisor of 5 and 1445. 5 What is the greatest common factor of 284 and 17182? 142 Calculate the highest common divisor of 16720 and 20. 20 Calculate the highest common factor of 27251 and 238. 119 Calculate the highest common divisor of 688 and 43. 43 Calculate the highest common divisor of 77 and 161. 7 What is the greatest common divisor of 30 and 42? 6 Calculate the highest common factor of 168 and 264. 24 What is the greatest common divisor of 130 and 5122? 26 What is the highest common divisor of 837 and 27? 27 Calculate the highest common divisor of 6525 and 9. 9 What is the highest common divisor of 117 and 312? 39 What is the greatest common factor of 21 and 56? 7 What is the greatest common divisor of 19 and 2299? 19 Calculate the highest common divisor of 153 and 969. 51 What is the greatest common divisor of 100 and 11075? 25 What is the highest common divisor of 1696 and 901? 53 Calculate the highest common factor of 678 and 1017. 339 What is the highest common divisor of 387 and 3999? 129 Calculate the highest common divisor of 35011 and 157. 157 What is the highest common factor of 346 and 6? 2 Calculate the highest common divisor of 754 and 247. 13 Calculate the greatest common divisor of 3682 and 14. 14 What is the greatest common divisor of 80 and 208? 16 Calculate the highest common factor of 3132 and 108. 108 Calculate the greatest common factor of 308 and 385. 77 What is the greatest common divisor of 24 and 2552? 8 What is the greatest common divisor of 88 and 4? 4 Calculate the greatest common factor of 9 and 9. 9 Calculate the greatest common divisor of 56 and 13048. 56 What is the highest common factor of 77 and 8701? 77 What is the highest common factor of 81 and 216? 27 Calculate the greatest common divisor of 70 and 35. 35 Calculate the greatest common factor of 102 and 24. 6 What is the highest common divisor of 154 and 1463? 77 Calculate the greatest common factor of 34 and 850. 34 Calculate the highest common factor of 16 and 2056. 8 Calculate the highest common factor of 1265 and 506. 253 What is the greatest common divisor of 252 and 28? 28 What is the greatest common divisor of 565 and 339? 113 Calculate the highest common factor of 351 and 936. 117 Calculate the greatest common factor of 24 and 20656. 8 What is the highest common factor of 1773 and 197? 197 Calculate the highest common factor of 4029 and 3081. 237 Calculate the greatest common divisor of 25 and 1225. 25 What is the highest common factor of 80 and 1? 1 Calculate the greatest common divisor of 126 and 2422. 14 What is the highest common factor of 63 and 99? 9 What is the greatest common divisor of 42 and 21? 21 Calculate the greatest common factor of 273 and 3770. 13 What is the highest common factor of 48 and 23376? 48 What is the greatest common divisor of 26 and 38? 2 Calculate the highest common factor of 6867 and 63. 63 What is the greatest common divisor of 1002 and 204? 6 What is the greatest common factor of 1400 and 56? 56 What is the greatest common factor of 68 and 124? 4 What is the greatest common divisor of 198 and 22? 22 What is the highest common factor of 6 and 12? 6 What is the highest common divisor of 84 and 112? 28 Calculate the highest common divisor of 576 and 18. 18 Calculate the highest common factor of 1837 and 11. 11 Calculate the greatest common divisor of 2 and 2194. 2 What is the highest common factor of 69 and 25875? 69 What is the highest common divisor of 87 and 29? 29 What is the highest common factor of 34425 and 9? 9 What is the highest common factor of 2163 and 5871? 309 Calculate the greatest common factor of 32 and 2. 2 What is the highest common factor of 64 and 704? 64 What is the greatest common factor of 3116 and 76? 76 Calculate the highest common divisor of 4 and 90. 2 What is the greatest common factor of 96 and 1008? 48 What is the highest common divisor of 11 and 121? 11 What is the highest common factor of 2130 and 30? 30 Calculate the greatest common divisor of 7 and 3073. 7 What is the highest common divisor of 1988 and 56? 28 What is the highest common divisor of 385 and 70? 35 What is the highest common divisor of 784 and 64? 16 What is the highest common divisor of 488 and 8? 8 Calculate the highest common factor of 73 and 292. 73 What is the greatest common factor of 420 and 485? 5 What is the highest common factor of 2284 and 92? 4 What is the highest common divisor of 158 and 5767? 79 Calculate the greatest common factor of 108 and 4. 4 Calculate the highest common factor of 7 and 427. 7 What is the highest common factor of 6 and 474? 6 What is the greatest common factor of 1118 and 1548? 86 What is the highest common factor of 348 and 6? 6 What is the highest common factor of 176 and 80? 16 Calculate the greatest common factor of 738 and 117. 9 Calculate the greatest common factor of 390 and 78. 78 Calculate the highest common divisor of 711 and 9. 9 What is the highest common factor of 816 and 1072? 16 Calculate the highest common factor of 6052 and 68. 68 What is the greatest common divisor of 132 and 462? 66 Calculate the highest common divisor of 104 and 234. 26 What is the greatest common factor of 33 and 66? 33 What is the greatest common divisor of 11819 and 477? 53 Calculate the greatest common factor of 336 and 357. 21 Calculate the greatest common divisor of 2825 and 25. 25 Calculate the highest common divisor of 122 and 47214. 122 What is the highest common divisor of 84 and 294? 42 What is the highest common divisor of 116 and 5858? 58 Calculate the greatest common divisor of 14562 and 18. 18 Calculate the highest common factor of 4277 and 21. 7 What is the highest common factor of 628 and 2669? 157 Calculate the highest common divisor of 240 and 27000. 120 Calculate the greatest common factor of 102 and 459. 51 Calculate the greatest common divisor of 1000 and 80. 40 Calculate the highest common divisor of 138 and 1334. 46 What is the highest common factor of 245 and 5292? 49 Calculate the greatest common divisor of 392 and 1666. 98 What is the greatest common divisor of 12 and 1059? 3 What is the greatest common divisor of 556 and 4? 4 Calculate the highest common divisor of 16 and 66. 2 Calculate the greatest common divisor of 1280 and 400. 80 What is the greatest common divisor of 43 and 215? 43 Calculate the greatest common factor of 1727 and 11. 11 What is the highest common divisor of 348 and 2652? 12 Calculate the highest common divisor of 21632 and 169. 169 Calculate the highest common factor of 25 and 67400. 25 What is the highest common factor of 65 and 25? 5 What is the greatest common factor of 5025 and 225? 75 What is the highest common factor of 12 and 11? 1 Calculate the greatest common factor of 143 and 44. 11 Calculate the highest common divisor of 1280 and 10. 10 What is the greatest common divisor of 6 and 182? 2 Calculate the greatest common factor of 194 and 2. 2 Calculate the highest common factor of 832 and 64. 64 Calculate the highest common factor of 252 and 72. 36 Calculate the highest common factor of 2886 and 296. 74 Calculate the highest common divisor of 2 and 74. 2 What is the highest common divisor of 62 and 930? 62 Calculate the highest common divisor of 90 and 1062. 18 What is the highest common divisor of 871 and 39? 13 Calculate the greatest common divisor of 539 and 11. 11 What is the highest common factor of 612 and 25296? 204 Calculate the highest common factor of 103 and 103. 103 Calculate the highest common divisor of 445 and 5. 5 Calculate the greatest common divisor of 35 and 8785. 35 Calculate the greatest common divisor of 243 and 675. 27 Calculate the greatest common factor of 32 and 736. 32 What is the greatest common divisor of 1403 and 23? 23 Calculate the highest common factor of 106 and 318. 106 Calculate the highest common divisor of 70 and 875. 35 Calculate the greatest common factor of 49 and 77. 7 Calculate t
{ "pile_set_name": "DM Mathematics" }
3028*f + 12145*f - 3050*f - 3047*f - 3045*f. -25*f Collect the terms in 3 + 9 - 288464*a - 14. -288464*a - 2 Collect the terms in -101 + 67*r - 5 + 110 - r. 66*r + 4 Collect the terms in 3*a - 4*a**2 + 85 - 42 + 5*a**2 - 4*a**2. -3*a**2 + 3*a + 43 Collect the terms in w**3 - 24408798 + 12204385 + 12204413. w**3 Collect the terms in 90*g - 21*g + 6*g - 30*g + 3*g + 255*g. 303*g Collect the terms in -61*g + 291*g + 203*g + 472*g. 905*g Collect the terms in -14*p**2 - 1334*p**3 + 14*p**2 + 178*p**3. -1156*p**3 Collect the terms in 714*f + 2*f**3 + 86*f**2 - 172*f**2 + 86*f**2. 2*f**3 + 714*f Collect the terms in 842979*t**3 + 1388891*t**3 - 712086*t**3. 1519784*t**3 Collect the terms in 45 + 48 + 60 + 1145244*t**3 - 1145243*t**3 - 153. t**3 Collect the terms in 722 + 85*n - 345 - 87*n - 270. -2*n + 107 Collect the terms in 103*s - 52*s + 0 - 51*s - 4 - 60054*s**2. -60054*s**2 - 4 Collect the terms in -7020*h**3 + 19894*h**3 - 9445*h**3 + 18445*h**3 + 9753*h**3. 31627*h**3 Collect the terms in 8*z**3 + 25 - 24 - 2492*z**2 + 2591*z**2. 8*z**3 + 99*z**2 + 1 Collect the terms in 60*j - 564*j + 17 - 14 - 3. -504*j Collect the terms in 40 + 2*k + 44 - 152 + 3*k - 2*k. 3*k - 68 Collect the terms in -87*c + 659*c - 102*c - 472*c. -2*c Collect the terms in -20899*z**2 + 20937*z**2 - 68607*z**2. -68569*z**2 Collect the terms in 6353661 - 6353661 + 159324*q**2. 159324*q**2 Collect the terms in -6211*m**3 + 9*m**2 - 11164*m**3 + 23*m**2 - 32*m**2. -17375*m**3 Collect the terms in -37*t**2 + 2*t + 31*t**3 + 8*t**2 - t - 3*t**2 + 0*t. 31*t**3 - 32*t**2 + t Collect the terms in 32*r**3 + 4741*r**2 - 9569*r**2 + 4828*r**2 - 29*r**3. 3*r**3 Collect the terms in -70*p + 1090*p**2 - 612*p**2 + 70*p - 134*p**2. 344*p**2 Collect the terms in 30 - 120 + 29 + 24*y + 33 + 28. 24*y Collect the terms in 3360 - 6869 + 3509 + 2329*d. 2329*d Collect the terms in 2 + 44370*q - 18277*q - 75029*q - 78780*q. -127716*q + 2 Collect the terms in -14 + 46 - 3*d - 14 + 67*d**2 - 17 - 8*d. 67*d**2 - 11*d + 1 Collect the terms in -u + 5808*u**2 - 519 - 511 - 5804*u**2. 4*u**2 - u - 1030 Collect the terms in 0 - 1 - 7*x + 36016*x**2 + 1. 36016*x**2 - 7*x Collect the terms in 24298*g - 8063*g - 6*g**2 - 8113*g - g**2 - 8122*g. -7*g**2 Collect the terms in 2*o - 530 - o - 5*o**2 - 846. -5*o**2 + o - 1376 Collect the terms in -6*s**3 - 287718*s + 287718*s - 41*s**3 + 75*s**3. 28*s**3 Collect the terms in 6*h - 21765 - 21769 - 2*h + 43534 - h - 4*h. -h Collect the terms in -641*k**3 + 169*k**3 + 1 - 2354*k**3 + 190*k**3 - 818*k**3. -3454*k**3 + 1 Collect the terms in -681*l**3 + 1985*l**3 - 602*l**3 - 683*l**3 - 97. 19*l**3 - 97 Collect the terms in -105936*n**2 - 103811*n**2 + 315685*n**2 - 105940*n**2. -2*n**2 Collect the terms in -629*z - 660*z + 3803*z - 628*z - 632*z - 632*z - 631*z. -9*z Collect the terms in -4 - 16 - 175*s + 20 - 1614*s. -1789*s Collect the terms in -238 + 304 + 29*q - 4*q + 8*q. 33*q + 66 Collect the terms in 526714*y - 1053619*y + 526903*y. -2*y Collect the terms in -150803*j**2 + 150803*j**2 - 3058*j + 3058*j + j**3. j**3 Collect the terms in 450 - 103*u**3 - 181 + 99*u**3 - 182 - 87. -4*u**3 Collect the terms in 1475105*w - 2950792*w + 1475133*w. -554*w Collect the terms in 109926027 - 109926027 + 14041*d. 14041*d Collect the terms in 208929356523515 - 208929356523515 - 17*y. -17*y Collect the terms in 354779*m - 94395*m + 75145*m. 335529*m Collect the terms in 4628437*i - 891250*i - 2*i**3 - 2*i**3 + 5*i**3. i**3 + 3737187*i Collect the terms in 248 - 5340*s**2 - 248 + 10633*s**2 - 5325*s**2. -32*s**2 Collect the terms in -8*l - 316*l**2 - 4*l - 448 + 2*l + 5*l. -316*l**2 - 5*l - 448 Collect the terms in 840*h**2 + 1213*h**2 - 3102*h**2 - 7053*h**2 - 3375*h**2. -11477*h**2 Collect the terms in 19*b**2 - 132*b**3 - 220*b**3 - 214*b**3 + 177*b**3 - 128*b**2. -389*b**3 - 109*b**2 Collect the terms in 6385*y**3 - 19012*y**3 + 6398*y**3 + 6363*y**3. 134*y**3 Collect the terms in -141*s**3 - 587*s**3 + 880*s**3. 152*s**3 Collect the terms in 8399 - 464 + 32*a + 1286. 32*a + 9221 Collect the terms in -10*w**3 - 2173068*w**2 - 1 + 2173068*w**2. -10*w**3 - 1 Collect the terms in 751*p - 370*p + 4 - 12 - 359*p + 6 - 15. 22*p - 17 Collect the terms in -26 - 7*t - 311*t**2 + 309*t**2 - 10*t**3 - 4*t - 11*t. -10*t**3 - 2*t**2 - 22*t - 26 Collect the terms in -2638562*o + 5277092*o - 26*o**2 - 2638530*o. -26*o**2 Collect the terms in 103 + 19 + 121 + 131*l. 131*l + 243 Collect the terms in 91*g**3 + 49*g**3 + 16*g**3 - 21 + 21. 156*g**3 Collect the terms in -7*w + 188*w - 3*w**2 + 28*w - 6*w + 0*w - 148*w. -3*w**2 + 55*w Collect the terms in -3089496*d + 114 - 113 + 3089475*d. -21*d + 1 Collect the terms in -1201801*p - 53 - 75 + 128. -1201801*p Collect the terms in 654504*h**3 - 2411158*h**3 + 0*h**2 + 0*h**2. -1756654*h**3 Collect the terms in 518 + 14154*q - 833 + 315. 14154*q Collect the terms in 698*u**2 - 270*u**2 + 0*u - 217*u**2 + 0*u - 244*u**2. -33*u**2 Collect the terms in 9 - 6 + 211*x + 105*x - 6 - 1. 316*x - 4 Collect the terms in 22*d**3 - 20*d**3 - 7 - 270*d + 7 - 2171*d. 2*d**3 - 2441*d Collect the terms in 9*d**3 + 116097*d - 348293*d + 116095*d + 116101*d. 9*d**3 Collect the terms in 11601*l - 37094*l - 45569*l. -71062*l Collect the terms in -10 - 9 - 46 - 6*i**2 + 21 + 44 + 9*i**2. 3*i**2 Collect the terms in -22 - 457*i**2 + 434*i**2 + 56 - 34. -23*i**2 Collect the terms in -10713545*y + 2 - 2 - 10713551*y + 21427093*y. -3*y Collect the terms in -9278*i**3 - 44*i**2 - 5 - 20734*i**3 + 43*i**2. -30012*i**3 - i**2 - 5 Collect the terms in 373872*u**2 - 747793*u**2 + 373929*u**2. 8*u**2 Collect the terms in 4 + 178754*d**3 - 4 + 179086*d**3 - 357843*d**3. -3*d**3 Collect the terms in -48595446330*z - 125*z**2 + 48595446330*z. -125*z**2 Collect the terms in -5*u**3 - 89*u**3 - 8*u + 2*u**2 - 51 - 190*u**3 + 6*u. -284*u**3 + 2*u**2 - 2*u - 51 Collect the terms in 142*a - 419*a + 7*a**2 + 142*a + 6*a**2 + 135*a + a**3. a**3 + 13*a**2 Collect the terms in -40 - 7*q - 32*q + 13*q + 6*q - 3 + 43. -20*q Collect the terms in -460243*g - g**3 + 1 - 12 + 11 + 460243*g. -g**3 Collect the terms in 273151275 + 411*t**2 - 273151275. 411*t**2 Collect the terms in 2576*o**2 - 4564*o**2 + 1983*o**2. -5*o**2 Collect the terms in -149 - 1935*p**2 - 27*p**2 + 75 + 74. -1962*p**2 Collect the terms in -343*x + 192*x - 3983*x - 18555*x - 2284*x. -24973*x Collect the terms in -16735*j - 332 + 16735*j + 139 + 193 + 5*j**3. 5*j**3 Collect the terms in 0 - 70*w - 66*w - 55*w - 71*w + 241*w - 5. -21*w - 5 Collect the terms in 6997*l**3 + 6956*l**3 - 14912*l**3. -959*l**3 Collect the terms in -986*z + 335*z + 321*z + 317*z. -13*z Collect the terms in -34*g**2 + 1645 + 31*g**2 - 480 + g**2. -2*g**2 + 1165 Collect the terms in 10737*j - 2682*j - 2684*j - 2714*j - 2649*j. 8*j Collect the terms in -729*t**3 + 1676*t**3 - 953*t**3 + 1 - 1 + 0. -6*t**3 Collect the terms in -40257*d**2 - 14 + 4 + 40251*d**2 + 10. -6*d**2 Collect the terms in -294*v**2 - 1 - 811*v**2 - 707*v**2 + 1. -1812*v**2 Collect the terms in 28*o**2 + 27*o**2 + 26*o**2 - 27*o - 107*o**2 + 35*o**2. 9*o**2 - 27*o Collect the terms in 1708*c - 1 + 383*c + 3 - 3966*c. -1875*c + 2 Collect the terms in 13*l**2 + 20*l**2 - 61*l + 16*l + 624 - 31*l**2. 2*l**2 - 45*l + 624 Collect the terms in -1060*r**2 + 11*r - 293*r**3 - 11*r. -293*r**3 - 1060*r**2 Collect the terms in -170*f**2 + 54*f**2 + 57*f**2 - 4381*f**3 + 59*f**2. -4381*f**3 Collect the terms in 474*w - 474*w + 1288607*w**2. 1288607*w**2 Collect the terms in -514193*a**3 + 0*a**2 + 215433*a**3 + 0*a**2. -298760*a**3 Collect the terms in 6*d**2 + 971*d - 8125*d + d**2 - 5 - 6*d**2. d**2 - 7154*d - 5 Collect the terms in -229*t - 6*t - 223*t + 80*t. -378*t Collect the terms in 0 + 524*k**2 - 114*k**2 - 129*k**2 + 0 - 157*k**2. 124*k**2 Collect the terms in 719 - 24*u - 360 - 202 - 157. -24*u Collect the terms in 43*l - 4190*l**2 - 4*l + 4042*l**2. -148*l**2 + 39*l Collect the terms in -2*n**3 + 686978*n**2 - 1373957*n**2 + 254 + 686979*n**2. -2*n**3 + 254 Collect the terms in 19766597*n + 4 + 4698498*n - 4. 24465095*n Collect the terms in -3*b**2 - 11*b**3 - 9*b**3 + 7*b**3 - 1. -13*b**3 - 3*b**2 - 1 Collect the terms in -22*h**2 + 88*h**2 + 1757 - 43*h**2 + 8*h**2 -
{ "pile_set_name": "DM Mathematics" }
third derivative of 5*c**4/12 + c**3 + c**2 + 127. Give g(y(z)). -10*z - 6 Let g(i) be the third derivative of -17*i**6/720 - i**4/6 - 11*i**2. Let b(r) be the second derivative of g(r). Let n(x) = -2*x. What is b(n(j))? 34*j Let o(l) = 2*l**2. Suppose 5*d = 4*s + 12, -3*s = -3*d - 5*s + 16. Let y(h) = -12*h - 9*h + d*h**2 + 21*h. Calculate o(y(f)). 32*f**4 Let c(u) = 4*u - 501. Let p(k) = -8*k**2 - k. What is p(c(j))? -128*j**2 + 32060*j - 2007507 Let a(f) = 2*f**2. Let t(k) be the third derivative of -11/24*k**4 + 0 + 0*k**3 + 4*k**2 + 0*k. What is t(a(n))? -22*n**2 Let r(l) = 70*l. Let p(a) = 9*a. Let s(d) = 3*d. Let t(n) = -3*p(n) + 8*s(n). Determine r(t(h)). -210*h Let m = 14 + -11. Suppose -1 = -2*z + 3*t + 23, 2*z + m*t = 0. Let n(r) = -24 - 20 + 44 + z*r. Let s(f) = -3*f. What is s(n(o))? -18*o Let j(s) be the third derivative of 5*s**4/8 + 3*s**2. Let k(g) = -5*g**2 + 4*g. Let q(w) = -11*w**2 + 9*w. Let x(f) = 9*k(f) - 4*q(f). Determine j(x(y)). -15*y**2 Let a(o) = 48258*o**2. Let p(f) = -4*f. Determine p(a(l)). -193032*l**2 Let q(b) be the third derivative of -2*b**5/15 - 277*b**2. Let z(c) = 24*c. What is q(z(o))? -4608*o**2 Let x(g) = 4*g**2. Let j(r) = 26167*r**2. Give x(j(y)). 2738847556*y**4 Let f(c) = c**2 + c - 1. Let y(h) = 4*h**2 - 4*h + 4. Let k(d) = 4*f(d) + y(d). Suppose -3*o = -0*o - 6. Let j(w) = -2*w**o + w**2 - w**2. Calculate k(j(l)). 32*l**4 Let x(c) be the third derivative of -c**5/120 - c**3/2 - 3*c**2. Let v(k) be the first derivative of x(k). Let u(s) = 4*s**2 + 0*s + 0*s. Determine u(v(i)). 4*i**2 Let u(p) = 2*p**2 - 2353*p. Let l(c) = -1718*c. What is l(u(k))? -3436*k**2 + 4042454*k Let z(q) = 2*q. Suppose -87 + 83 = -y. Let v(p) be the third derivative of 0*p**3 + 1/8*p**y + 0*p - p**2 + 0. Determine v(z(g)). 6*g Suppose 30*g - s + 6 = 33*g, 4*s = 5*g - 10. Let j = -1 + 1. Let h(t) = 4*t + j*t + g*t. Let d(p) = -2*p**2. What is h(d(i))? -12*i**2 Let x(o) = 2*o. Let r(m) = -84*m**2 - 11*m**2 - 50*m**2. What is x(r(a))? -290*a**2 Let q(t) = -44*t. Let o(i) = 277*i**2. Give q(o(s)). -12188*s**2 Let p(j) = -8*j**2 + 12*j + 24. Let o(g) = g**2 + g + 2. Let n(f) = -60*o(f) + 5*p(f). Let k(d) = -2*d**2. Calculate n(k(x)). -400*x**4 Let r(j) = -2*j. Let o(w) = 1005125*w**2. Determine r(o(b)). -2010250*b**2 Let q(a) = -a**2 - a - 2. Let v(o) = 4*o**2 + 33*o + 12. Let y(l) = -6*q(l) - v(l). Let n(w) = 2*w. Give y(n(s)). 8*s**2 - 54*s Let f(j) = 26970*j. Let n(r) = 149*r. Let m(u) = -6*f(u) + 1085*n(u). Let s(a) = 3*a**2. What is s(m(x))? 72075*x**2 Let u(w) = 1892*w**2 + w - 1. Let l(v) = 5*v**2. What is u(l(b))? 47300*b**4 + 5*b**2 - 1 Let n(q) = -6*q**2 + 27*q**2 + 19*q**2. Let f(o) = -54269004 + 2*o + 54269004. Calculate f(n(l)). 80*l**2 Let t(j) = 6097 - 46*j - 6097. Let o(g) = -4*g**2. Give o(t(m)). -8464*m**2 Let h(q) = -54*q**2 - 42*q + 21. Let x(b) = 11*b**2 + 8*b - 4. Let v(p) = -4*h(p) - 21*x(p). Let d(g) = 2*g. Give d(v(t)). -30*t**2 Let c(n) = -n**2. Let s(o) = -3*o**2. Let k(v) = -4*v**2. Let g(t) = -t**2 - t + 2. Let a be g(2). Let i = -10 - a. Let u(x) = i*s(x) + 5*k(x). Give u(c(p)). -2*p**4 Let s(l) = l - 5*l + 11*l**2 + 4*l. Let d(o) be the first derivative of o**3/6 + 7*o + 1. Let n(x) be the first derivative of d(x). Determine s(n(v)). 11*v**2 Let w(a) be the third derivative of 7*a**5/60 - 4*a**2. Let f(g) = 3*g - 2. Let i(c) = 6*c - 5. Let u(r) = -5*f(r) + 2*i(r). What is u(w(m))? -21*m**2 Suppose -4*o + 85 = 3*r, -o + 23 = 5*r - 96. Let h(b) = r*b - 50*b + 22*b. Let z(i) = -i. Determine z(h(f)). 5*f Let a(y) = -2*y**2. Suppose k + i = 3*k - 50, -5*k + 4*i + 131 = 0. Let u = 0 + k. Let f(n) = -u + 23 - 21*n. Give f(a(g)). 42*g**2 Let u(w) = 13*w. Let c(g) = -755*g + 12. Determine c(u(q)). -9815*q + 12 Let k(c) be the second derivative of c**3/6 + c + 37. Let b(m) = m**2. Calculate b(k(t)). t**2 Let y(s) = -1534448*s**2 - 2. Let r(v) = 2*v. What is y(r(x))? -6137792*x**2 - 2 Let s(q) = -q**2. Let d(l) be the second derivative of 25*l + 0 + 0*l**2 - 8/3*l**3. What is s(d(u))? -256*u**2 Let z(j) be the third derivative of j**4/24 - 153*j**2. Let o(q) = -932*q. Determine z(o(i)). -932*i Let d(o) = 173*o. Let i(g) = 13*g**2 + 4*g - 4. Let z(s) = 16*s**2 + 5*s - 5. Let p(r) = -5*i(r) + 4*z(r). Determine p(d(k)). -29929*k**2 Let c(y) be the second derivative of 0 + 0*y**2 - 1/3*y**3 - 24*y. Let m(a) = -3*a - 3 + 3. Determine m(c(u)). 6*u Let w(d) = -d**2 - 10*d. Let t(a) = 2*a + 20. Determine w(t(m)). -4*m**2 - 100*m - 600 Let v(f) = 5*f + 0*f - 2*f. Let y(t) be the second derivative of -7*t**4/12 + 71*t. Determine y(v(w)). -63*w**2 Let t(g) = 4*g**2. Suppose x = -4*s + 46, -2*x - 25 = -4*s + 15. Let h(b) = -3*b + b + b - s*b. Calculate h(t(k)). -48*k**2 Let s(x) be the second derivative of -5*x**4/12 + 3*x + 213. Let a(d) be the third derivative of -d**5/15 + d**2. Give a(s(g)). -100*g**4 Let b(m) = 11*m**2 + 25*m. Let i(s) = -13*s**2 - 30*s. Let r(g) = -6*b(g) - 5*i(g). Let p(a) be the third derivative of -7*a**5/30 + 2*a**2. Determine r(p(o)). -196*o**4 Let f(t) = 5*t + 1. Let g(o) = -24*o - 5. Let k(i) = 20*f(i) + 4*g(i). Let r(w) = -5*w - 25. Let p(b) = -1. Let v(a) = -25*p(a) + r(a). Give k(v(x)). -20*x Let u(n) = 6*n**2 - 10. Let k(w) = 2*w**2 - 3. Let q(m) = -10*k(m) + 3*u(m). Let i(z) = -2*z + 20. What is i(q(s))? 4*s**2 + 20 Let g(t) = 4*t**2 + 2. Let c(o) = -1. Suppose -5*f + 7 = 12. Let z(w) = f*g(w) - 2*c(w). Let s(i) = -4*i**2. Give s(z(y)). -64*y**4 Let r(z) be the first derivative of 2*z**3 + 93*z + 9. Let b(i) = -i**2. What is b(r(y))? -36*y**4 - 1116*y**2 - 8649 Let u(q) = 3*q. Let p = 55 + -39. Let v = -10 + p. Let o(h) = -5*h**2 + 6*h**2 - 6*h + v*h. Calculate u(o(z)). 3*z**2 Let y(b) = 3*b**2. Let d(v) be the second derivative of v**4/12 + 5*v**2 + 10*v. Let o(i) be the first derivative of d(i). Calculate y(o(z)). 12*z**2 Let c(j) = -3*j. Let m(z) be the third derivative of -1/24*z**4 + 22*z**2 + 0*z**3 + 0 + 0*z. Give m(c(l)). 3*l Let f(u) be the first derivative of 7*u**3 + 2. Let a(j) be the second derivative of -j**3/3 - 277*j. Determine f(a(x)). 84*x**2 Let q(l) = -2*l. Let c(r) = r**2 - 56680*r - 2. What is q(c(v))? -2*v**2 + 113360*v + 4 Suppose 5*t = 3*t - 2*t. Let c(x) be the first derivative of 13/3*x**3 + t*x**2 - 4 + 0*x. Let y(b) = 2*b. Give c(y(n)). 52*n**2 Let t(v) = -6*v**2. Let o(b) = -2118*b**2 + 2. Give o(t(m)). -76248*m**4 + 2 Let k(f) = -f. Let j(l) = 2415152*l. What is k(j(g))? -2415152*g Let j(b) = -6156*b**2. Let n(k) = 5*k. Calculate j(n(s)). -153900*s**2 Let w(i) = -2*i**2 + 16*i**2 + 3*i**2 + 6*i**2. Let u(d) = 7*d + 7*d + d - 16*d. What is w(u(j))? 23*j**2 Let u(r) = 3*r. Let a(w) = 10 + 19*w**2 + 17 + 24*w**2 - 3 - 40*w**2. Give a(u(l)). 27*l**2 + 24 Let w(k) = 8*k + 8*k - 14*k. Let r = 27 - 18. Let a(u) = -6 + 6 - r*u. Calculate w(a(j)). -18*j Let h(q) = -q. Let z(b) = 4*b + 9 - 9. Let s(l) = -5*h(l) - z(l). Let r(a) = 5*a. Calculate s(r(n)). 5*n Let a(k) = 11*k**2. Let o(r) = 42*r**2 + 9*r. Let f(w) = -10*w**2 - 2*w. Let c(v) = 9*f(v) + 2*o(v). Determine c(a(q)). -726*q**4 Let o(y) = -y**2. Let g(j) be the first derivative of -5*j**4/12 + 3*j - 3. Let s(v) be the first derivative of g(v). Calculate o(s(w)). -25*w**4 Let n(q) be the third derivative of q**5/60 + 2*q**2. Let x(m) = 56*m + 11 + 50*m + 1 + 42*m - 150*m. What is x(n(k))? -2*k**2 + 12 Let d(r) = 4*r. Let o(t) = -14*t**2 + 23*t**2 - 15*t**2 - 4*t**2. Give o(d(j)). -160*j**2 Let g(s) = -33*s. Let h(u) = -9*u + 14. Let w(i) = 14*i - 21. Let j(v) = 8*h(v) + 5*w(v). Let b(y) = y - 4. Let o(d) = -7*b(d) - 4*j(d). Give o(g(c)). -33*c Let l(r) = 5*r - 9. Let y(n) = 2*n**2 - 13*n + 53. What is l(y(p))? 10*p**2 - 65*p + 256 Let l(a) = -96*a**2 - 93*a**2 + 184*a**2 + 5*a - 5*a. Let j(m) = -83*m. Give l(j(d)). -34445*d**2 Let v(m) = -2*m**2 - 57*m. Let a(i) = -243*i. Give a(v(d)). 486*d**2 + 13851*d Let u(z) = z**2. Suppose 2*d = 5*d + 2*t - 4122, 4*d - 5496 = -5*t. Let v(b) = 28*b + 1374 - d + 2*b. Determine v(u(c)). 30*c**2 Let d(b) = b. Let a(g) be the third derivative of 11*g**6/60 - 15*g**3/2 + g**2 - 5. Let m(z) be the first derivative of a(z). What is d(m(c))? 66*c**2 Let n(c) be the first derivative of 0*c**2 + 1 + 0*c - 11/3*c**3. Let w(q) be the first derivative of 2*q**3/3 - 2. What is w
{ "pile_set_name": "DM Mathematics" }
i*x**2 + 9*i - 8*x**2 - 491*x wrt i? 4820*x**2 + 538*x Find the second derivative of -36*o**5 + 105*o**4 - 31302*o - 1. -720*o**3 + 1260*o**2 Find the second derivative of 429532*u**2 - 78*u - 777. 859064 What is the third derivative of -3*j**6 + 62077*j**3 - 19662*j**2 - 10*j wrt j? -360*j**3 + 372462 What is the first derivative of 334727*g*n**2 - 46116*g wrt n? 669454*g*n Differentiate 20*i**4 + i**3 + 103*i**2 + 17*i - 1985633. 80*i**3 + 3*i**2 + 206*i + 17 What is the first derivative of -510346*n*x + 251078*n wrt x? -510346*n What is the first derivative of -231612*f + 177903? -231612 Differentiate 4*s**3 + 484*s**2 - 31*s + 65391 wrt s. 12*s**2 + 968*s - 31 What is the third derivative of 595901*y**3*z**2 - 468*y**2*z**2 - 2*y*z + 150*y wrt y? 3575406*z**2 What is the third derivative of 41*b*y**3 + 106924*b*y**2 - 162*y**6 wrt y? 246*b - 19440*y**3 Find the third derivative of -255803*h**5 - 2*h**2 - 158827 wrt h. -15348180*h**2 What is the third derivative of -715431*q**6 - 700*q**2 + 3 wrt q? -85851720*q**3 What is the third derivative of -4022*l**2*t**5 + 50*l**2*t**2 - 6*l*t**2 - 179*l*t - 16*t**6 wrt t? -241320*l**2*t**2 - 1920*t**3 What is the derivative of p**3 + 5297*p**2 + 3*p - 265505? 3*p**2 + 10594*p + 3 Find the third derivative of 3*o**3*p**2 - 7*o**3*p*t - 2646*o**3*t - 265*o**2*p*t - o*p**2*t - 500*p**2 wrt o. 18*p**2 - 42*p*t - 15876*t What is the third derivative of 977030*c**5 + 612182*c**2 wrt c? 58621800*c**2 What is the third derivative of -267*h**2*z**3 + 14*h**2*z**2 - 2*h**2*z - h**2 - 485*h*z**3 + z**3 + 5*z**2 + 209*z wrt z? -1602*h**2 - 2910*h + 6 What is the derivative of -21612*d - 182825 wrt d? -21612 What is the derivative of -11632*r**2 + 2300897? -23264*r Find the third derivative of 1226971*a**3 + 3558942*a**2. 7361826 What is the third derivative of 2*o**4*r - 2*o**4 + 10002*o**3*r + 2*o**2 - 8*o*r - 6*o - 3244*r wrt o? 48*o*r - 48*o + 60012*r Find the second derivative of 11*g**2*q**3 - 44284*g**2 - 3730*g*q**3 + 4*g*q - 9*q**3 wrt g. 22*q**3 - 88568 What is the first derivative of 370360*p - 2210446 wrt p? 370360 Find the second derivative of -2935*g**2*l**3 - 3*g**2 + 779*g*l - 5*l**4 - 7 wrt l. -17610*g**2*l - 60*l**2 Find the second derivative of 11204*b**2*x**3 + 8*b*x**3 - 21*b*x + 56 wrt b. 22408*x**3 Differentiate 28280*l**3*m*u**2 + 3*l**3*u**2 - 3*l - 9*u**2 - 15 with respect to m. 28280*l**3*u**2 Find the first derivative of 3*m**4 - 6*m**3 - 537*m + 152181 wrt m. 12*m**3 - 18*m**2 - 537 Find the second derivative of -112*d**5 + 158*d**4 + 33053*d wrt d. -2240*d**3 + 1896*d**2 What is the second derivative of -11*p**3*r**2*w + 2*p**3*w + 27*p**3 - 3*p*r**2*w - 78*p*r*w + 8*p*w wrt p? -66*p*r**2*w + 12*p*w + 162*p What is the third derivative of -17496*f*k**3 - 2*f*k**2 + 20*f*k - 3*k**6 + 5*k**2 - 71 wrt k? -104976*f - 360*k**3 What is the second derivative of 3*h**3 - 86072*h**2 + 1183061*h wrt h? 18*h - 172144 Find the third derivative of -218*h**3*p*v**3 - 24*h**3*p*v + 4*h**2*p**2*v**2 + h**2*p*v**2 - h**2*p*v - 2*h*p**2*v**3 + h*p**2*v**2 wrt v. -1308*h**3*p - 12*h*p**2 What is the second derivative of -51504*r**4 + 24901*r wrt r? -618048*r**2 What is the first derivative of 55*f**3*l**2 + 6*f*l**2 - 1517795*l**2 - l wrt f? 165*f**2*l**2 + 6*l**2 What is the third derivative of 90272*q**4 - 104*q**2 + 457? 2166528*q What is the derivative of -2344206*b**3 - 1514755 wrt b? -7032618*b**2 Find the first derivative of 510*f**2*j + 14*f**2 + 92*f - 16*j**2 - 8 wrt j. 510*f**2 - 32*j What is the third derivative of 155*k**3*m*v**2 - 3*k**3*m*v + 164*k**3*v**3 - 66*k*m*v**2 - k*v**2 + 344*m*v**3 wrt v? 984*k**3 + 2064*m Differentiate 331274*j**4 - 38748. 1325096*j**3 Find the third derivative of -112328*s*z**3 + 2*s*z + 154*s - 68*z**2 wrt z. -673968*s Find the second derivative of 883019*r**4 + r**3 + 202*r - 594 wrt r. 10596228*r**2 + 6*r Differentiate 19*h**3*l - 4*h**3*r + 31*h*r**2 + 2*h - 8*l*r**2 - l*r - 16*l + 6 with respect to r. -4*h**3 + 62*h*r - 16*l*r - l What is the derivative of w**2*z**2 + 14*w*z**3 + 7237*w - 18*z**3 - 4*z**2 + 12630*z wrt w? 2*w*z**2 + 14*z**3 + 7237 Find the second derivative of 486164*h**3 - 516819*h. 2916984*h What is the third derivative of 3458*g**6*o + 9*g**4 + 75*g**2*o - 680 wrt g? 414960*g**3*o + 216*g What is the third derivative of -720664*n**5 - 2*n**2 - 1088250*n wrt n? -43239840*n**2 What is the second derivative of 68841*n**3 - n - 18840? 413046*n What is the second derivative of -166895*p*u**2 + 32*p*u + 6*p + 20*u - 1 wrt u? -333790*p Find the third derivative of 8*m**6 - 58167*m**5 + 480222*m**2 wrt m. 960*m**3 - 3490020*m**2 Find the second derivative of -26404*s**5 - 2*s - 11574 wrt s. -528080*s**3 Differentiate -8949*d*m**2*s**3 - 10*d*m**2*s + 5*m**2*s**3 - 16596*m**2 wrt d. -8949*m**2*s**3 - 10*m**2*s Find the second derivative of 286583*l**2*m**2 + l**2*m + 2*l*m + 21*m**2 + 21*m + 70 wrt l. 573166*m**2 + 2*m What is the third derivative of -24169*t**6 - 2*t**3 - 2*t**2 - 12*t - 3930 wrt t? -2900280*t**3 - 12 Find the second derivative of -j*l**3 - 31*j*l**2 - 4161*j - 2*l**3 + 30*l**2 - 7*l wrt l. -6*j*l - 62*j - 12*l + 60 Differentiate -326347*v**4 - 333770 wrt v. -1305388*v**3 Find the second derivative of 41*k**4 - 1642*k**2 + 14*k + 1565 wrt k. 492*k**2 - 3284 Differentiate 2*h**2*r + 42906*h**2 + 50*h*r + 79*r with respect to r. 2*h**2 + 50*h + 79 What is the third derivative of -98845*x**5 - 48*x**2 + 312*x wrt x? -5930700*x**2 What is the second derivative of -175*j*o**3 + 9*j*o**2 + 925*j*o - j + 2*o**2 + 2*o - 3 wrt o? -1050*j*o + 18*j + 4 Find the second derivative of -243173*n**3*p**2 - 82*n**3 + 3*n*p + 36*p wrt p. -486346*n**3 What is the second derivative of -h**3*y - 543963*h**2*y + 5*h*y + h - 3592*y + 1 wrt h? -6*h*y - 1087926*y Find the second derivative of 437*d**4*y - 4*d**3 - 248*d**2*y - 2*d**2 + 2*d*y - 179*d - 2126*y wrt d. 5244*d**2*y - 24*d - 496*y - 4 What is the second derivative of -f**2*s**2 - 5*f**2 + 439*f*s**2 - 27*s**2 + 15709*s wrt s? -2*f**2 + 878*f - 54 Find the third derivative of r**5 - 7173*r**4 - r**3 + 2*r**2 + 62743 wrt r. 60*r**2 - 172152*r - 6 Differentiate 4*c**2*d - 7*c**2*r - 42669*c**2 + 49555*c*d**3*r**2 + 2*d**3 wrt r. -7*c**2 + 99110*c*d**3*r Find the second derivative of -122537*q**2 - 435573*q wrt q. -245074 Find the second derivative of 8517*k**2 + 1178*k - 61 wrt k. 17034 Find the third derivative of -122058*f**5*i + 16*f**2*i - 588*i wrt f. -7323480*f**2*i Find the first derivative of -2*q**2*r**2 + 5314*q**2 - 7*r**2 - 20*r wrt r. -4*q**2*r - 14*r - 20 What is the third derivative of -1598223*a*l**2*n**3 - 3*a*l**2*n + 12*a*n - 2*l*n**2 + 5*n**2 - 453*n wrt n? -9589338*a*l**2 Find the third derivative of -79078*i**3 + 38*i**2 - 6*i + 36. -474468 Find the third derivative of 18*c**4 - 3274*c**3 + 72*c**2 + 45*c + 4. 432*c - 19644 Differentiate -540018*j*v + 98140*j wrt v. -540018*j Find the second derivative of 242*r**5 - 341*r**4 - 10*r**3 - 5176951*r. 4840*r**3 - 4092*r**2 - 60*r Find the second derivative of -18*l**5 - 7*l**4 + l**3 + 8*l - 966 wrt l. -360*l**3 - 84*l**2 + 6*l What is the third derivative of 3*j**5 - 6*j**4 - 461*j**3 - 2635*j**2 + 91*j? 180*j**2 - 144*j - 2766 What is the first derivative of -27940*n**2 + 58376 wrt n? -55880*n Differentiate -3*n**2*t**3 + 141831*n**2 - n*t**3 + 6141*t wrt t. -9*n**2*t**2 - 3*n*t**2 + 6141 What is the third derivative of -112*q**4*v + 967*q**3*v + q**2*v + 26604*q**2 wrt q? -2688*q*v + 5802*v Find the first derivative of 3*g**3 - 1093*g - 696004 wrt g. 9*g**2 - 1093 What is the derivative of -5*g**4 + g**3 - 1352*g - 203733? -20*g**3 + 3*g**2 - 1352 What is the third derivative of -26*b**2*s**3 - b**2*s - 9*b*s**2 - 607*s**3 + 357*s**2 wrt s? -156*b**2 - 3642 Find the second derivative of 2*h**4 - 3*h**3*p + 5*h**3 + 4*h**2*p - 2*h*p + 1793*p wrt h. 24*h**2 - 18*h*p + 30*h + 8*p Find the second derivative of 2*a*k**3 - 663*a*k**2 - 654803*a*k - 52*k**3 wrt k. 12*a*k - 1326*a - 312*k What is the third derivative of -8381*a*c**3 + a*c**2 + a + c**3 + 34*c**2 - 1 wrt c? -50286*a + 6 What is the second derivative of 406*b**3*s + 27611*b*s wrt b? 2436*b*s What is the second derivative of 1166*q**3 - 2*q**2 + 140341*q? 6996
{ "pile_set_name": "DM Mathematics" }
5 (e) -0.04 c What is the nearest to 1368 in -2, -1, 0.2, 14, -4? 14 Which is the closest to 61? (a) -7265 (b) 1/5 (c) 21 c What is the closest to 5 in -2/67, -4, -0.5, 459, 4? 4 Which is the nearest to -16? (a) -27 (b) -4 (c) -0.05 (d) 22 (e) -8 (f) -0.2 e Which is the closest to -2/723? (a) 13 (b) -2/3 (c) 101/2 (d) -2 (e) 4 b What is the nearest to 0 in 0.05, 344, -1, -443, -1/6? 0.05 What is the nearest to 1721 in -0.1, -1/5, -2/13, -4, -1/7, -2/5? -0.1 What is the nearest to -0.06 in 773/5, 4, 28, 3, -2.4? -2.4 Which is the closest to -2/7? (a) 496 (b) 27 (c) 0.4 (d) 110 (e) 3 c What is the nearest to -0.75 in -5, -4, -4/1541, 0? -4/1541 What is the closest to -0.11 in -5, 0.52, -0.097, 2/69? -0.097 What is the nearest to -23.65 in -0.04, -11, -2/9? -11 Which is the nearest to -6? (a) -1/6 (b) 3/305 (c) 8 (d) -1 d What is the nearest to -40 in 0, -0.5, -1/9, -4, 20/17? -4 Which is the closest to 1? (a) -3 (b) 1/6 (c) -0.5 (d) -13695 b Which is the nearest to -1/3? (a) 907 (b) -4/3 (c) -3 (d) -27 (e) -41 b What is the closest to -5 in -2/3, -1, 0.3508? -1 What is the nearest to 160/11 in -0.4, 0.3, 25? 25 What is the closest to -1 in -5, 569810.63, -1, -3? -1 What is the nearest to -3 in -381, 24755, 0.3? 0.3 What is the closest to -2795 in -3, 0.5, 154, -1/3? -3 What is the nearest to -138.1805 in 4, -5, 2? -5 Which is the closest to -1? (a) -758 (b) 0.2 (c) 5 (d) -2 (e) 1/12 d Which is the nearest to 1/2? (a) 2/11 (b) 6.5 (c) 2/5 (d) -0.9 (e) 1 c Which is the nearest to -38? (a) -0.5 (b) 6 (c) -1 (d) -0.1 (e) 130 c Which is the closest to -12/1571? (a) 0.08 (b) 2/137 (c) 12 b Which is the closest to -18/5? (a) 153 (b) -0.4 (c) -74 b What is the closest to 2.6 in -1.4, -0.02, -5, 317? -0.02 Which is the nearest to -56717/4? (a) 66 (b) -0.3 (c) 2/5 b Which is the nearest to 1248.2? (a) 5 (b) 1 (c) -1/4 a What is the closest to 52/5 in 1, -13, -307? 1 What is the closest to 0.03 in -55, -0.4, 4070, 0? 0 What is the nearest to -0.1 in 0, -8.523, -0.021, 4, 4/3, 9? -0.021 What is the closest to 1522/23 in -5/3, 2/9, -3, -9, 0.3? 0.3 What is the nearest to 1287 in 0.3, -1/2, -3, -5, 0.4, 2199? 2199 What is the nearest to 5.5 in -1, 4, 5, 0.4, -0.0419, -4? 5 Which is the nearest to 2? (a) -48.151 (b) -0.4 (c) 11 (d) -2/3 (e) 4 e Which is the nearest to 5? (a) 9302 (b) 1 (c) 4 c Which is the nearest to -1.7? (a) 6/733 (b) -2/7 (c) -3/7 c Which is the closest to -206? (a) -4 (b) -15.4 (c) 1/2 (d) 0.3 b Which is the closest to 2/5? (a) 4/11 (b) 107 (c) 3.2 (d) 4 (e) 0.23 a Which is the nearest to -161? (a) 0.2 (b) 1534 (c) 3 a What is the closest to 0.4 in 1/4, 3, -123, -38, 1.3, -1? 1/4 What is the nearest to -1 in -1/2, -120076, 8? -1/2 Which is the closest to 141734? (a) -1/49 (b) 4 (c) -0.5 b Which is the closest to 8? (a) -1 (b) 29 (c) 2694 a Which is the nearest to 3/8? (a) 44 (b) -1.71 (c) -4/5 (d) 0 (e) -2/5 d Which is the nearest to 2/9? (a) -1/2 (b) -3/5 (c) 2/29 (d) 5 (e) -2 c Which is the closest to -2? (a) 2/7 (b) -6 (c) -5 (d) -52.9 (e) -2/15 e What is the closest to -2/3 in 0.0476, 5, -1, -747, -0.2? -1 Which is the nearest to -184? (a) 8684 (b) -4 (c) -5 c Which is the closest to -2829? (a) -5 (b) -1/9 (c) -1/22 a What is the nearest to 72 in 2/7, -0.03, -171, -2? 2/7 What is the closest to 5 in 2.6, -14, 0.29, 2/23? 2.6 What is the closest to -0.3 in 1, -0.4, 2/3, 3284, -5? -0.4 Which is the closest to -1/36? (a) 5 (b) 3/5 (c) -16/31 (d) -0.4 d Which is the nearest to 269? (a) 2/3 (b) -0.121 (c) 2/45 (d) 1/3 a Which is the closest to 0.7? (a) -0.3 (b) 2/11 (c) 1053.595 b Which is the closest to 330? (a) -4 (b) -0.1 (c) 0.4 (d) 2/11 (e) 8735 c What is the closest to -2.805 in 0.3, -1/4, 0.046, -2? -2 What is the closest to -122 in 5, 0.5, -362/7? -362/7 Which is the nearest to -5/86? (a) -5 (b) 2/3 (c) 6 (d) 1/4 d What is the nearest to 0.1 in -0.5, 5, -0.3, -40366, -3/4, 2/7? 2/7 What is the nearest to -2 in 17371, -7/15, 5, 1/2? -7/15 Which is the closest to -103.3? (a) -2/33 (b) -0.01 (c) -0.2 c Which is the nearest to 3/8? (a) -4 (b) 123 (c) 2/11227 (d) -0.1 c Which is the closest to 3? (a) 0.4 (b) -0.1 (c) 2/3 (d) 2/25 (e) 2 (f) 6235 e Which is the nearest to 111? (a) -2/5 (b) 1041 (c) -5 (d) 0.2 d Which is the closest to 0.1? (a) -0.058 (b) 249/14 (c) 11 (d) 0.5 a What is the nearest to 2 in 4/15, -162, -0.2, -13, 2, -3/13? 2 Which is the nearest to 0.1? (a) 2/9 (b) 4/7 (c) 463 (d) 0.4 (e) -377 a What is the nearest to 4323259 in 1/2, 2, 5? 5 Which is the nearest to 0.1? (a) -0.5 (b) -12 (c) -3 (d) -15/74 (e) 0.4 e Which is the nearest to 4? (a) 1/3 (b) -2 (c) -38 (d) 0.148 a What is the nearest to 1 in 80.621, 5, 2/5, -4/15? 2/5 What is the closest to -0.2 in -20.8, 1136.9, -0.2? -0.2 What is the nearest to -8 in 17, 5, 3490? 5 Which is the closest to -1? (a) -53 (b) 2030 (c) 0.13 (d) 4/5 c What is the nearest to -565/23 in -1, 4, 632? -1 What is the closest to 3212 in -6.4, -132, -2, 0.3? 0.3 Which is the closest to -104? (a) -3 (b) 4 (c) -26 (d) -10/3 (e) -15 c Which is the nearest to -4.2? (a) -0.3 (b) 9/14 (c) 5 (d) -0.02 (e) -1/274 a Which is the nearest to -644? (a) -122 (b) 354 (c) -5 a Which is the nearest to -76? (a) 4/5 (b) -4 (c) -6 (d) -167/7 (e) -2/7 d What is the closest to 0 in 3, 8562, -335? 3 Which is the nearest to 2/7? (a) -1/3 (b) 7/4 (c) 1.3 (d) -5 (e) -6 a What is the nearest to 0.04 in 0.06, 2/9, 2, 0.4, 12/19, -0.005? 0.06 Which is the nearest to 68? (a) -1.65 (b) -24 (c) -125 a Which is the nearest to -14978? (a) -0.4 (b) -1/2 (c) -3 (d) 101 c Which is the closest to -0.84? (a) 0.5 (b) -1 (c) 35/6 (d) 24 b What is the closest to -2 in 59, 10, 1, -325? 1 What is the closest to -4 in -4, 2/19, -65, 0.01, 0, -6? -4 Which is the closest to -0.1? (a) -2/11 (b) 2.6 (c) -8 (d) 0.0231 a Which is the nearest to -1? (a) 1770 (b) 2 (c) 2/15 (d) -4.85 (e) 1/5 c What is the closest to -20 in 6, 193, -14? -14 Which is the nearest to -1? (a) -24.7 (b) -1/4 (c) -3 (d) 32 (e) 1/11 b What is the closest to 1 in -168674, -1, 10, -5, -2/3? -2/3 Which is the nearest to -3854? (a) -0.5 (b) -5 (c) 6 (d) 0.032 b What is the closest to -1 in -0.015, 12798, -4/9? -4/9 What is the closest to 0.5 in 6/13, 1/4, 990, 56? 6/13 Which is the closest to 0.7? (a) 4 (b) 9 (c) -3 (d) 2/5 (e) 7197 d Which is the nearest to 769? (a) 5 (b) 0.1 (c) 9 (d) 0.03 c What is the nearest to 3 in 1, -49, 1725? 1 What is the closest to 24 in 1/3, 9, -3, 1844? 9 Which is the nearest to -1/3? (a) 69 (b) -0.3 (c) -0.0071 (d) 2/11 (e) -146 b What is the nearest to -8/5 in 2/19, 4, 146, -7, 0.5, -4? 2/19 What is the closest to -19 in 0.2, -0.1, -2538? -0.1 Which is the closest to -5? (a) -0.02 (b) 1.4 (c) 34/5 (d) -5 (e) -14 d Which is the nearest to 2? (a) -41686 (b) -3/4 (c) 6/5 c Which is the closest to -20/17? (a) -1 (b) 1.76 (c) 0.03 a What is the closest to 2/5 in -5.9932, 0.4, 41? 0.4 What is the nearest to 1.7 in 0.3, 1/3, 5/2, 15, -2/9? 5/2 Which is the closest to -6? (a) 1 (b) -1 (c) 2/11 (d) -12/1223 b Which is the closest to -5/6? (a) 0 (b) 3/4 (c) -2/17 (d) -6 (e) -5 (f) -24.5 c What is the closest to 0.7 in -5, 2/17, 250, -4, 0.058? 2/17 Which is the closest to -4? (a) 0.069 (b) -55 (c) -150 a What is the closest to -6 in -2, 2/9, 0.3, -0.4, 75? -2 Which is the nearest to -1/5? (a) -11 (b) -5 (c) -0.5 (d) 51362 c What is the closest to -2 in 0.5, -816, 13, 7? 0.5 What is the nearest to -2444.6 in 0.4, 0.2, 2, 3, 0.5? 0.2 Which is the nearest to 2/3? (a) 15 (b) -2 (c) 432/761 c What is the closest to 0.5149 in -2, 4/5, 33, -5, 3/5? 3/5 What is the closest to -1828 in -2/5, -3, 254, 4? -3 Which is the nearest to 47? (a) 0.43 (b) -5 (c) -1 (d) 5 (e) -1.5 d What is the nearest to 1 in 0.361, -1161, 0.02? 0.361 Which is the nearest to 0.8? (a) 1 (b) -0.5 (c) 1.1 (d) 8317 a What is the closest to 6/7 in -2/15, 172, -4, -1.832, -2/11? -2/15 Which is the nearest to -2/9? (a) -2/27 (b) -1 (c) -558 a Which is the nearest to -2/3? (a) -13 (b) 0 (c) 0.2 (d) -52 (e) -48.
{ "pile_set_name": "DM Mathematics" }
-15. Let k be 5/(-15)*(-18)/x. What is the third biggest value in k, -4, 2/3? -4 Let m = 5 - 5.08. Let f = m - 5.92. Let n = 5.5 + f. What is the second smallest value in n, 2, -0.1? -0.1 Let b = 5.9619 - -0.0381. What is the smallest value in b, -0.4, 0.01, -5? -5 Let y = -189.8 - -189. What is the fourth biggest value in -6, 2/17, 4, y? -6 Let p = 4.4 - 4. Let q = 0.1551 + 2.8449. Which is the biggest value? (a) q (b) p (c) -0.3 (d) -0.1 a Let j be (2/(-16))/(23/92). What is the second biggest value in j, -2, 4? j Let x = 731/2 + -3651/10. Let t(g) = g**2 + 3*g - 4. Let u be t(-4). Which is the second biggest value? (a) u (b) -2 (c) x a Let h = -47 - -32. Let i(w) = -w**2 - 14*w + 14. Let v be i(h). Let p = -2689/13 - -207. Which is the third biggest value? (a) 2/9 (b) p (c) v c Let x = -9.07 - -9. Let g = -0.17 - x. Let l = 1450/11 + -132. Which is the biggest value? (a) 1 (b) l (c) g a Let v = -826 + 822. Which is the biggest value? (a) -18 (b) 1/3 (c) v b Let i = -5.6 + 0.6. Let y = -1197 + 1197. Which is the fourth smallest value? (a) y (b) -0.2 (c) 1/6 (d) i c Suppose 2*w + 16 = 6*w. Let b be (6/w)/(27/396). Let k = -26 + b. What is the second biggest value in k, -3, 4? -3 Suppose -2*f = -y - 10, f + 3*f - 16 = 0. Which is the second biggest value? (a) -4 (b) -0.4 (c) y c Let v = -8 - -10. Let f = -55 + 128. Let u = 143/2 - f. Which is the biggest value? (a) v (b) u (c) 3 c Let q = -0.228 - -5.228. Which is the third biggest value? (a) 146 (b) -2/5 (c) q b Let x(h) = -6*h**2 + 5*h**2 + 1 + 6 - h - 4. Let v be x(-3). Which is the second smallest value? (a) -4 (b) 15 (c) v c Let x = 80 - 85. Let r = 0 + -0.5. Let y = -1.5 - r. Which is the second smallest value? (a) -1/2 (b) y (c) x b Let q(a) = -a**3 + 10*a**2 + 10*a + 173. Let u be q(12). Let m = -7 - -6.7. What is the second biggest value in u, -0.4, m? m Let m = -2.003 + 5.003. Which is the biggest value? (a) -4 (b) m (c) 0.5 b Let i = -377801/7 - -53797. Let s = 175 + i. What is the smallest value in -3, 2/9, s? -3 Suppose -9*d - 48 = -13*d. Suppose 5*z + 2*y + 49 = 0, -3*y + d + 18 = -4*z. Let l = 0.23 - -0.07. What is the second smallest value in z, -3, l? -3 Let d(y) = y**2 + 6*y - 5. Let v be d(-6). Let x = 7 + v. Let r be (50/20)/5 + 0 + (-26)/12. Which is the second biggest value? (a) r (b) x (c) 4 b Let v = 9.06 + -8.66. Let d = -5 + 9. Suppose -2 = -4*k + 6. Which is the third smallest value? (a) v (b) d (c) k b Let r be (27/30)/(342/(-285)). Let q be (-4)/35 - (-6)/15. Which is the second smallest value? (a) -3/5 (b) q (c) r a Let u = 1877/3 + -656. Let b(d) = 30*d**2 + d + 1. Let t be b(-1). Let q = t + u. What is the biggest value in 5, 1, q? 5 Let o be ((-7)/(-7 - 0) - 2)/(-7). Which is the smallest value? (a) o (b) 0 (c) -1/7 (d) 0.2 c Let z = -0.095 - -1.035. Let a = z + -0.24. Let j = 1.3 + a. What is the biggest value in 3, -5, j? 3 Let m be 1024/(-720) + (-6)/(-27). What is the third biggest value in 0.2, m, 27, 4? 0.2 Let l = -142 + 138. What is the third biggest value in 0.5, l, 1.4, -3/5? -3/5 Let y = 2807/9 + -312. Which is the smallest value? (a) y (b) 5 (c) 400 a Let n be 0 + (8/(-20))/((-32)/120). Which is the second smallest value? (a) n (b) 1/7 (c) -0.051 b Let u = -130 - -135. What is the smallest value in 0, 1/5, u? 0 Let h = -8.36 - -0.36. What is the biggest value in -0.1, h, 0.08? 0.08 Let k = -163 + 56. Let h = k + 107.1. Which is the second smallest value? (a) -3 (b) h (c) -0.2 c Suppose -16 = 4*t - 0*t. Let u = -3 - -3. Let z be (u - 1)*(t - -5). What is the second biggest value in z, 3, 1? 1 Suppose 2*x = -5*z + 292, 3*x + 4*z - 193 = 245. Which is the second smallest value? (a) 3 (b) -0.4 (c) -2 (d) x b Let a = 0 - -0.1. What is the biggest value in -3/7, a, -1.5? a Let h be ((-50)/35)/(16/28). Which is the biggest value? (a) h (b) -0.5 (c) 25 (d) 2 c Suppose 318*b + 128 = 326*b. What is the second biggest value in b, 3, 0.12? 3 Let g = 473 - 475. Which is the third biggest value? (a) g (b) -6/11 (c) 1/4 a Let h = -37 + 36.17. Let m = 1.03 + h. Which is the smallest value? (a) -3/5 (b) -0.2 (c) m (d) -14 d Let r = 0.01 + 0.99. Let v = -569.289 + 569. Let g = -0.011 + v. What is the biggest value in -3, g, r? r Let u = 2199.6 + -2200. Which is the third smallest value? (a) 4 (b) u (c) -2.03 a Let f = -15.2 - -13.2. What is the fourth biggest value in 1, 0.6, 2/9, f? f Let p be 57/380*(-40)/(-16). Let f(h) = h**2 + 4*h + 3. Let t be f(-4). Let q be -2*((-7)/t - -2). What is the smallest value in 4, q, p? p Suppose g - 4*z - 10 = 4*g, 15 = -5*g - 5*z. Which is the third smallest value? (a) g (b) 0 (c) -0.2 (d) 0.05 b Suppose -n - 4*n + d = 224, 0 = 3*n - 3*d + 132. What is the biggest value in n, -2/3, -1? -2/3 Let u = -2.555 - 0.445. Let p = 19 - 15. What is the smallest value in u, p, -2, 3/2? u Let q = 49.5 - 49.8. Which is the fourth biggest value? (a) -0.4 (b) 17 (c) 3 (d) q a Let n = 5.6 + -8.6. Suppose -2*p + 0*p - 12 = 2*t, -5*t = 3*p + 26. Let x be 1/((-3)/((-3)/(-4))). Which is the third biggest value? (a) n (b) x (c) t c Let h = -31.8 - -35.8. Which is the second biggest value? (a) 1/6 (b) h (c) -4 (d) -0.5 a Let z = 2217 - 26603/12. Suppose -4*f + 2*l + 20 = 0, 2*f - 2*l - 3 = 11. What is the third smallest value in -0.2, z, f, -5? z Suppose 4 = 3*d - 5*r - 24, -10 = -d + 2*r. Suppose 0 = -d*z + 36 + 24. Let k = -1.32 - -0.32. Which is the biggest value? (a) k (b) z (c) -3 b Let s be 286/390 - 4/10. What is the biggest value in -0.4, s, -2, 0? s Let n = 30.6 - -8.4. Let l = n - 65. Let t = l - -28. Which is the second smallest value? (a) t (b) 3 (c) 0.2 a Let h = -125 - -131.7. Let v = 3.7 - h. What is the smallest value in 4, v, 2/5, -1/3? v Let s = -175 + 195.8. Let m = 22.3 + -1.3. Let y = s - m. What is the third smallest value in y, -3, 1/3? 1/3 Let i = 3.6 - 3. Let u be 4/(-3) - ((-920)/(-75))/(-8). What is the second biggest value in 0.5, u, i? 0.5 Let x = 968 - 967.3. Which is the third biggest value? (a) 0.4 (b) x (c) 7 a Let b = -4 - -4.3. Let y = -2.08 + -2.92. What is the third biggest value in 3, y, b? y Let w = -0.05 - -0.55. Let k = 14.1063 - 0.1063. Which is the smallest value? (a) w (b) -5 (c) k (d) -4 b Let b = -4 + 0. Let i = -1222/525 - 1/175. Let g = 8/3 + i. What is the third biggest value in g, 1/2, b? b Let z(v) = -v**3 + 7*v**2 + 4*v - 17. Let k be z(7). Let m be (-5)/(-20) - k/(-4). Which is the third smallest value? (a) -0.05 (b) 0.3 (c) m c Let g = 0 + 5. Let w be 1*(-6)/21 - (-52)/(-14). Which is the fourth biggest value? (a) 0.02 (b) 3 (c) g (d) w d Let f = -0.04 + 5.04. Suppose 5*l - 91 = -51. Suppose l*o - 3 - 5 = 0. What is the smallest value in 1/3, o, f? 1/3 Let p = -20.15 - 0.85. Let o = 20.92 + p. Which is the smallest value? (a) o (b) -2/17 (c) -5 c Let w = -0.5 - -10.87. Let c = -0.77 + w. Let j = c - 10. What is the third smallest value in j, 0, -3/5? 0 Let l be (24 + -12)*1/(-3). Which is the fourth smallest value? (a) -0.1 (b) l (c) 25 (d) -1 c Let i = 772/3 - 258. What is the third biggest value in -2/7, i, -9? -9 Let g = -141/110 + 11/10. Which is the smallest value? (a) -1/3 (b) g (c) 4 a Suppose -96 = -0*l + l - f, 5 = -f. Let q = l + 96. Which is the biggest value? (a) q (b) 1 (c) 0.005 b Let g = 208 - 207.98. What is the second biggest value in g, 0.5, -4? g Let w be (44/(-99))/((-20)/(-15)). Suppose -3*d + 0*o + 2 = o, -4*o = 5*d - 1. What is the fourth biggest value in d, w, 3, -0.2? w Let v be 63/77 - (-5)/((-220)/(-8)). What is the fourth smallest value in v, -3, -5, -2? v Let i(l) = 2*l**3 + 34*l**2 - 35*l + 13. Let x be i(-18). Let m = -0.2 - -0.3. Let z = -0.2 + m. Which is the biggest value? (a) z (b) 5 (c) x b Let y(z) = z + z - 4*z - 3*z. Let n be y(-2). Suppose -4*o - 3*v + 17 = 0, 2*o + n - 2 = 4*v. Which is the biggest value? (a) -0.2 (b) -4/9 (c) o c Let s = 0.64 - -24.36. Let r = s - 28. Which is the third biggest value? (a) -2/3 (b) r (c) -2/5 (d) -0.3 a Let d be ((-2585134)/4)/(11960/16). Let i = -4323/5 - d. What is the biggest value in -3, 1/7, i? 1/7 Let z(h) = -h**3 + 7*h**2 - 15*h + 26. Let f be z(5). What is the smallest value in
{ "pile_set_name": "DM Mathematics" }
+ 4) Let u(i) be the second derivative of 0 + 25*i - 1/70*i**5 - 2/21*i**4 + 11/21*i**3 - 6/7*i**2. Suppose u(g) = 0. Calculate g. -6, 1 Let b(k) be the third derivative of k**9/60480 - k**5/6 + 12*k**2. Let x(m) be the third derivative of b(m). Suppose x(p) = 0. Calculate p. 0 Let x(m) be the second derivative of 0*m**3 + 0 + 1/14*m**5 + 10*m - 1/21*m**4 - 1/35*m**6 + 0*m**2. Factor x(v). -2*v**2*(v - 1)*(3*v - 2)/7 What is n in -40/3*n**3 + 608/15*n**2 - 2/15*n**5 - 896/15*n + 32/15*n**4 + 512/15 = 0? 2, 4 Let v(d) be the third derivative of -d**7/1120 + d**6/40 - 3*d**5/10 + 2*d**4 - 2*d**3 - 6*d**2. Let y(l) be the first derivative of v(l). Factor y(f). -3*(f - 4)**3/4 Let z(t) be the third derivative of -6*t**7/7 - 13*t**6/2 - 193*t**5/12 - 65*t**4/6 - 10*t**3/3 - 16*t**2 - 7. What is y in z(y) = 0? -2, -1/6 Let l be (-3 + 13 + -10)/((-1)/(-1)). Let d(y) be the first derivative of 1/6*y**3 + 3 - 1/8*y**4 + l*y + 0*y**2. Factor d(n). -n**2*(n - 1)/2 Suppose 72*d = 84*d. Let a(s) be the second derivative of 1/3*s**3 + 0 - 1/10*s**5 + 6*s - 1/6*s**4 + d*s**2 + 1/15*s**6. Factor a(t). 2*t*(t - 1)**2*(t + 1) Let l(v) be the first derivative of 4*v**6/15 - 7*v**5/10 - 5*v**4/6 + 2*v**3 - 16*v - 14. Let m(u) be the first derivative of l(u). Factor m(h). 2*h*(h - 2)*(h + 1)*(4*h - 3) Let a(d) = d**2 + d + 1. Let b(q) = -q**4 + 7*q**3 - 2*q**2 - 10*q - 3. Let x(u) = 15*a(u) + 5*b(u). Factor x(m). -5*m*(m - 7)*(m - 1)*(m + 1) Let i = -36/13 + 2173/780. Let a(h) be the second derivative of i*h**5 - 1/18*h**4 - 6*h + 0 + 1/18*h**3 + 0*h**2. Determine j, given that a(j) = 0. 0, 1 Let z(k) be the second derivative of k**7/210 + k**6/30 + k**5/10 + k**4/6 + k**3/2 + 3*k. Let s(f) be the second derivative of z(f). Factor s(g). 4*(g + 1)**3 Suppose -4*w + 5 + 11 = 0. Let y be 28/286*5 + w/(-22). Determine m, given that -2/13*m**4 + 6/13*m**2 - y - 2/13*m + 2/13*m**3 = 0. -1, 1, 2 Let x(g) = g**3 - 29*g**2 + 30*g - 51. Let n be x(28). Let p(c) be the first derivative of 0*c**2 + 0*c**4 - 3 + 4/9*c**3 - 2/15*c**n - 2/3*c. Factor p(b). -2*(b - 1)**2*(b + 1)**2/3 Let q(w) = -w - 1. Let u be q(-2). Let x(a) = 7*a**3 + 4*a**2 - 7*a - 9. Let f(i) = i**3 + i**2 - i. Let h(m) = u*x(m) + 5*f(m). What is l in h(l) = 0? -1, -3/4, 1 Let x(g) = -g. Let j(p) = -4*p - 4. Let f(l) = j(l) - 3*x(l). Let t be f(-6). Factor -3*a**3 - t*a**5 - 8*a**4 - a**5 + 2*a**4. -3*a**3*(a + 1)**2 Solve 13*z**2 - 10*z**2 + 4800 + 185*z + 55*z = 0 for z. -40 Let j(a) be the first derivative of 5*a**4/16 + 19*a**3/12 + 11*a**2/8 - 3*a/4 + 23. Factor j(u). (u + 1)*(u + 3)*(5*u - 1)/4 Suppose d = -3*d + 3*d. Let m(c) be the third derivative of 0 - 1/120*c**6 - 4*c**2 - 1/210*c**7 + 0*c**4 + 0*c**3 + d*c**5 + 0*c. Suppose m(s) = 0. What is s? -1, 0 Let m(w) = -w**2 - w - 7. Let a(l) = -14*l - 3. Let r(q) = 5*q + 1. Let j(x) = 6*a(x) + 17*r(x). Let s(p) = 6*j(p) - 2*m(p). Suppose s(o) = 0. What is o? -2 Factor 21/5*u**4 + 3/5*u - 6/5 + 57/5*u**3 + 9*u**2. 3*(u + 1)**3*(7*u - 2)/5 Let u(z) be the third derivative of z**8/1680 + z**7/175 + z**6/120 - 124*z**2. Factor u(m). m**3*(m + 1)*(m + 5)/5 Let y(g) = -4*g**2 + 104*g - 686. Let m(r) = 12*r**2 - 312*r + 2060. Let a(x) = 5*m(x) + 16*y(x). Factor a(t). -4*(t - 13)**2 Let c(n) be the first derivative of -n**6/24 - 6*n**5/5 - 117*n**4/16 - 27*n**3/2 - 534. Find f, given that c(f) = 0. -18, -3, 0 Suppose 0 - 1/2*o**2 - o = 0. Calculate o. -2, 0 Let t = -20595 - -20598. Suppose 15/2*b**2 - 15/2*b**4 + 0*b - 3/2*b**5 + 0 + 3/2*b**t = 0. Calculate b. -5, -1, 0, 1 Let i(d) be the second derivative of -d**4/18 + 70*d**3/9 - 23*d**2 + 166*d. Find g, given that i(g) = 0. 1, 69 Let s(l) be the second derivative of 0*l**4 + 1/147*l**7 + 0*l**2 + 8*l + 0 + 1/35*l**6 + 1/35*l**5 + 0*l**3. Factor s(u). 2*u**3*(u + 1)*(u + 2)/7 Let c(x) be the first derivative of 2/21*x**3 - 5 + 0*x + 1/7*x**2. Solve c(o) = 0 for o. -1, 0 Suppose -161 = -23*i - 161. Factor 0*s**2 + 0*s + 2/7*s**3 + 4/7*s**4 + i + 2/7*s**5. 2*s**3*(s + 1)**2/7 Let u(p) be the first derivative of 1/15*p**6 + 0*p + 8/15*p**3 - 8/5*p**2 - 2/5*p**5 + 3/5*p**4 - 20. Solve u(o) = 0. -1, 0, 2 Let y(x) = 6*x**3 - 10*x**2 + 6*x. Let t(v) = v**3 - v**2 - v. Let g be (-3 + 2/1)/1. Let w(l) = g*y(l) - 2*t(l). Find o, given that w(o) = 0. 0, 1/2, 1 Let u = -1860 - -1892. Let n(h) be the first derivative of 504/5*h**5 - 149*h**4 + 136*h**2 - 9 + 54*h**6 - 472/3*h**3 - u*h. Suppose n(t) = 0. Calculate t. -2, -1, 2/9, 1 Determine k so that -24/5*k + 8/5 - 2/5*k**3 - 6/5*k**4 + 2/5*k**5 + 22/5*k**2 = 0. -2, 1, 2 Let q(s) be the first derivative of -45*s**4/4 - 35*s**3/3 + 5*s**2 + 211. Let q(h) = 0. What is h? -1, 0, 2/9 Let t(u) be the second derivative of -u**6/90 - 19*u**5/60 - 7*u**4/2 - 18*u**3 - 36*u**2 + 98*u. Determine g so that t(g) = 0. -6, -1 Let m(w) be the first derivative of w**8/84 - 4*w**7/105 - w**6/30 + 2*w**5/15 - 15*w**2/2 - 7. Let a(g) be the second derivative of m(g). Solve a(i) = 0. -1, 0, 1, 2 Determine b, given that -132*b**2 + 36/5*b**4 + 6/5*b**5 - 168/5*b**3 - 702/5*b - 48 = 0. -8, -1, 5 Let f(q) be the third derivative of -q**6/420 + q**4/84 - 4*q**2 - 19. Solve f(u) = 0. -1, 0, 1 Let l = -69 + 95. Let r be 4 - -2*(-4)/64*l. Factor r*u**3 + 0 - 1/4*u**4 - u + 0*u**2. -u*(u - 2)**2*(u + 1)/4 Let p(a) be the second derivative of 1/6*a**3 + 3*a**2 + 0 - 2*a + 1/60*a**5 + 1/12*a**4. Let f(t) be the first derivative of p(t). Factor f(d). (d + 1)**2 Suppose -864 = 2*x - 878. Let w(o) be the third derivative of 1/1050*o**x + 0*o - 1/100*o**5 + 0 - 1/120*o**4 + 11*o**2 + 1/600*o**6 + 1/15*o**3. Factor w(k). (k - 1)**2*(k + 1)*(k + 2)/5 Let y(o) be the first derivative of -o**3 - 3/5*o**5 + 6*o - 9/2*o**2 + 8 + 9/4*o**4. Suppose y(w) = 0. Calculate w. -1, 1, 2 Let t(z) be the first derivative of 0*z**2 + 0*z - 10/3*z**3 - 4*z**5 + 5/6*z**6 + 11 + 25/4*z**4. Factor t(j). 5*j**2*(j - 2)*(j - 1)**2 Let s(g) = -61*g - 181. Let o be s(-3). Solve 9/5*i**o + 0 - 3/5*i - 6/5*i**3 = 0 for i. 0, 1/2, 1 Let x(w) = 6*w**3 - 6*w**2. Suppose -17 - 1 = -2*k. Let d(c) = 11*c**3 - k*c**3 - 3*c**3 + c**2. Let p(g) = 3*d(g) + x(g). Determine y so that p(y) = 0. 0, 1 Find p such that -1/2*p**2 - 1/2*p**4 - 3/2*p**3 + 3/2*p + 1 = 0. -2, -1, 1 Let c = 901 + -896. Solve r**c + 5/3*r**2 - 5/3*r**4 - 1/3*r**3 + 0 - 2/3*r = 0. -1, 0, 2/3, 1 Let a be (-34)/9 - 2/(-3). Let r = -47/18 - a. Factor 7/2*w**2 - 2*w**3 - r - w. -(w - 1)**2*(4*w + 1)/2 Suppose -3*q - 2*q = 25. Let j(n) = -3*n**3 + 15*n**2 - 24*n + 7. Let m(b) be the second derivative of b**2/2 + 26*b. Let l(v) = q*m(v) - j(v). Factor l(a). 3*(a - 2)**2*(a - 1) Let o be (12/(-5))/((-1396)/1745). Factor 0 - 72/7*a**2 - 324/7*a - 4/7*a**o. -4*a*(a + 9)**2/7 Let t(l) be the first derivative of -l**4/3 - 8*l**3/3 + 14*l**2/3 - 263. Factor t(a). -4*a*(a - 1)*(a + 7)/3 Let a(k) = -5*k**2 + 50*k + 25. Let g(l) = 10*l**2 - 99*l - 46. Let q(o) = 5*a(o) + 2*g(o). Factor q(n). -(n - 11)*(5*n + 3) Let z = -37865 + 151461/4. Factor 33/4*i**2 + 1331/4 + z*i**3 + 363/4*i. (i + 11)**3/4 Let y = -48061 + 336430/7. Factor -312/7*k**2 - 144/7*k**3 - 48*k - 33/7*k**4 - 144/7 - y*k**5. -3*(k + 2)**4*(k + 3)/7 Suppose 3*o + 40 = 46. Let m = -14 + 17. Determine i, given that 2/3*i - 2/3*i**m + 1/3*i**o - 1/3 = 0. -1, 1/2, 1 Let 0 + 4*m**4 + 2/7*m**5 + 0*m - 2/7*m**3 - 4*m**2 = 0. Calculate m. -14, -1, 0, 1 Let q(h) = h**2 + 3*h - 12. Let m be q(8). Suppose m*a = 81*a - 20. Let 1/3*c**a + 0 - 1/3*c**5 - 1/3*c**2 + 0*c + 1/3*c**3 = 0. What is c? -1, 0, 1 Let n = -773 + 777. Let l(w) be the second derivative of 2*w + 3/20*w**5 + w**3 + 3/4*w**n + 0 + 0*w**2. Suppose l(q) = 0. What is q? -2, -1, 0 Let i(a) = -4*a**3 - 36*a**2 + 4*a + 36. Let x be i(-9). Suppose x + 9/4*n**2 + 0*n - 3/2*n**3 - 3/4*n**4 = 0. What is n? -3, 0, 1 Let z = -476/3 - -162. Let o = 29/6 - z. Factor 0 - 3/4*c - 3/4*c**5 + o*c**3 + 0*c**4 + 0*c**2. -3*c*(c - 1)**2*(c + 1)**2/4 Factor 8*u**2 - 196/3 + 2/3*u**3 + 14*u. 2*(u - 2)*(u + 7)**2/3 Let y be ((-6)/4 + -1)/(10/(-20)). Factor -56*v**4 + 106*v**3 - 2*v**3 + 12*v**y - 8 + 49*v - 96*v**2 - 5*v. 4*(v - 1)**4*(3*v - 2) Determine t, given that 4*t**2 - 72*t - 3*t**2 + 48*t + 164 - 20 = 0. 12 Suppose 0 = -9*t + 7*t + 8. Let i be (2/t)/((-6)/36). Let k(c) = c**2
{ "pile_set_name": "DM Mathematics" }
lculate the remainder when ((-52)/(-6))/(1/15) is divided by n(1). 31 Suppose o - 2*o = -3. Suppose -y + 10 = -o. Calculate the remainder when 38 is divided by y. 12 Let m(w) = -7*w - 48. Calculate the remainder when 87 is divided by m(-10). 21 Suppose 0 = -3*u - 4*k + 112, 2*u + 3*k - 27 - 49 = 0. What is the remainder when 61 is divided by u? 29 Let y(l) = -2*l - 13. Calculate the remainder when y(-10) is divided by (-52)/(-10) + 2/(-10). 2 Calculate the remainder when ((1 - -4) + -2)*(-25)/(-3) is divided by 9. 7 Suppose 0 = -2*d + 8*d - 174. What is the remainder when d is divided by 6? 5 Suppose -5*a + 218 = -4*g, 21 = 2*a + 3*g - 80. What is the remainder when a is divided by 13? 7 Let i(j) = -j**3 + 27*j**2 + 59*j - 15. Calculate the remainder when 22 is divided by i(29). 8 Let r = 1 - 4. Let j(q) = 27*q - 3. Let l be j(2). What is the remainder when 21 is divided by (2 + l/(-9))*r? 10 What is the remainder when 15/(-4 + 9) - -31 is divided by 12? 10 Let g = 11 - 6. Suppose -3*q + 2 + 17 = -g*b, -3*q = 2*b - 26. Let f(k) = 29*k**2. Calculate the remainder when f(-1) is divided by q. 5 Let p = -4 + -15. Let c be 1/5 + p/(-5). What is the remainder when c/22 + 168/44 is divided by 2? 0 Let n = 22 + -12. Suppose 5*x - d - 24 = 0, -4*d = 6 + n. What is the remainder when 13 is divided by x? 1 Let x = 1 + 3. What is the remainder when 5 is divided by x? 1 Suppose -4*v - 12 = -24. Calculate the remainder when 6 is divided by v. 0 Let j(d) = -11*d - 8. Let w(b) = 4*b + 3. Let a(o) = -3*j(o) - 8*w(o). What is the remainder when 11 is divided by a(4)? 3 Calculate the remainder when 5 is divided by ((-4)/2)/(7 - 8). 1 Calculate the remainder when 6/(2 + (-3 - -2)) is divided by 4. 2 Let w(f) = -f**3 - 5*f**2 + 3*f + 2. Suppose -3*t = -7*a + 2*a - 31, 4*t - a = 30. Calculate the remainder when w(-6) is divided by t. 6 Suppose -15*o + 21*o - 216 = 0. Calculate the remainder when o is divided by 14. 8 Let f(y) = -y**3 + 16*y**2 - 10*y - 11. Calculate the remainder when f(15) is divided by 22. 20 Let p(t) = t**2 + t + 56. Let k be p(0). Suppose 6*z - 2*z = k. Let w(y) = 6*y - 9. Calculate the remainder when w(6) is divided by z. 13 Suppose c - 6*c + 195 = 0. Let q = -12 + c. Calculate the remainder when 53 is divided by q. 26 Suppose 3*g = -4*k + 209, g + 4 = 3. Calculate the remainder when k is divided by 11. 9 Suppose 0 = -2*d - d + 6. Let w(t) = 12*t**2 - 4*t + 2. Calculate the remainder when w(d) is divided by 11. 9 Suppose -6*h = -2*h - 20. Suppose -v = -h*v + 8. Calculate the remainder when v is divided by 2. 0 Suppose -1 - 6 = -n. Let a(l) be the second derivative of l**4/12 - l**3 + 3*l**2 + 4*l. What is the remainder when 51 is divided by a(n)? 12 Let t(z) = -2*z**2 - 5*z - 4. Let l be t(-2). Calculate the remainder when 25 - ((-3)/1 - l) is divided by 14. 12 Let h be (2 - 0)*61/2. Suppose -4*k = -3*i + 128, -i + 2*k + 3*k + h = 0. Calculate the remainder when i is divided by 13. 10 Let w(s) = s. Let t(x) = -x + 1. Let j be t(-4). Let d(m) = -m**2 - 12*m + 2. Calculate the remainder when d(-11) is divided by w(j). 3 Suppose 32 = 4*l + 4. Let m(q) = -2*q - 1. Calculate the remainder when l is divided by m(-2). 1 Suppose 0 = 4*a + a - 120. Let b = 33 + -20. What is the remainder when a is divided by b? 11 Let c be (-2)/8 - (-17)/4. Suppose -5*r + 30 = c*o, -o + 0*o = -5. Calculate the remainder when 6 is divided by (-8 - -6)/((-1)/r). 2 Let h = -10 - -65. Let p(z) = 3*z + 4. Suppose -5*b - t + 19 + 8 = 0, 0 = -3*b + 5*t + 5. What is the remainder when h is divided by p(b)? 17 Suppose 0*t - 46 = -2*t. Let f = t - -8. What is the remainder when f is divided by 8? 7 Let x = 66 - 65. Let b be 2/(-9) + (-110)/(-9). Let c = b - x. Calculate the remainder when 20 is divided by c. 9 Let t = 5 - 9. Let o = -209 - -232. Calculate the remainder when o is divided by t/1*6/(-4). 5 Let j(d) = 4*d**2 - 4*d - 2. Calculate the remainder when j(-3) is divided by 16. 14 Let n = -112 - -135. Calculate the remainder when n is divided by 6. 5 Suppose -m = -g + 2*g - 3, -g + 1 = 0. What is the remainder when (-3)/(0 + 3/(-26)) is divided by (40 + m)*1/3? 12 Suppose 0*d = 5*v - 2*d - 10, -2*d + 30 = 5*v. What is the remainder when 5 is divided by v? 1 Let p = 88 - 9. Calculate the remainder when p is divided by 27. 25 Suppose 0 = 2*x + 60 + 2. Let n = -15 - x. What is the remainder when 31 is divided by n? 15 Suppose p - 7 = b + 2*b, 5*p - 90 = 4*b. What is the remainder when 42 is divided by p? 20 Let r = -1 - -4. Calculate the remainder when 1 is divided by 1*r/(6 + -3). 0 Let o(r) be the second derivative of r**4/4 - r**3/2 - r**2/2 - 4*r. Calculate the remainder when o(-4) is divided by 30. 29 Let h = 14 - 28. Calculate the remainder when ((-22)/4)/(19/(-76)) is divided by -1 - (-2)/((-4)/h). 4 Let x = -4 - -8. Suppose -4*y + 5*w = -55, 2*y + x*w = -0*y + 8. Let g(z) = 6*z + 9. Calculate the remainder when g(y) is divided by 18. 15 Suppose -5*w + 30 = -2*w. What is the remainder when w is divided by -1 + 0 - 5/(-1)? 2 Suppose -z = -0*z - 14. Suppose -70 = -5*t + 2*n + n, t = -5*n - z. What is the remainder when t is divided by 4? 3 Let p = 35 + -14. Calculate the remainder when p is divided by 6. 3 Suppose 41*o = 43*o - 54. What is the remainder when o is divided by 2*7 - (-4 - -3)? 12 Let o = -54 - -79. Let f = -7 - -14. What is the remainder when o is divided by f? 4 Suppose 12*t - 109 - 251 = 0. Calculate the remainder when 146 is divided by t. 26 Suppose 0 = -4*u + 2*u. Suppose -3*v = -5*v - 2. Calculate the remainder when -53*(v - (u + 0)) is divided by 18. 17 Let d(q) = 84*q + 1. Let j be d(4). Let x = j + -239. Suppose 3*a - 2*z = 2*z + x, -2 = z. Calculate the remainder when a is divided by 16. 14 Suppose 3*g = 2*g - 74. Let m = -52 - g. Suppose -3 = -5*n + m. Calculate the remainder when 14 is divided by n. 4 Calculate the remainder when 6/(21/(-6) - -2)*-4 is divided by 6. 4 Suppose g = 4*g - p - 14, -p = -g + 8. Suppose 0 = -0*b - g*b + 4*i + 52, 5*b = -4*i + 140. What is the remainder when b is divided by 9? 6 Let m be 3 - (-74 + -3)*1. Suppose 5*w - m = -g, -4*g = 4*w + 1 - 81. Calculate the remainder when 28 is divided by w. 13 Let q(u) = -14*u - 15. Calculate the remainder when q(-6) is divided by 12. 9 Suppose -3*r + 2*m - 62 = -3*m, -r - 10 = m. Let p = -2 - r. Let o(t) = -t + 4. Calculate the remainder when p is divided by o(-3). 5 Let o(a) = a**2 - 5*a + 9. Let q be o(6). Calculate the remainder when 28 is divided by (0 - q)/(6/(-6)). 13 Suppose 0 = x + 5*g + 1, -x = -g - 0*g - 5. Let m = x + -2. What is the remainder when -1*-4*1 + 0 is divided by m? 0 Let d(h) be the second derivative of -1/2*h**2 + 0 + 3/4*h**4 - 1/6*h**3 - 3*h. What is the remainder when 34 is divided by d(-1)? 7 Suppose 2*y + 3*g + 19 = -2*g, 0 = -5*y + 4*g + 35. Let i = -12 + 18. Calculate the remainder when i is divided by y. 0 Let u be 12/(-9)*(4 - -2). Let a be ((-12)/(-8))/((-6)/u). Suppose -14 = -a*x - 0*x. Calculate the remainder when 20 is divided by x. 6 Let v(m) = -m**2 + m + 5. Let l be v(0). Let k(z) = 5*z + 1. Suppose b - 4*s - 6 = 0, -2*b - 5*s + 80 = 3*b. What is the remainder when k(l) is divided by b? 12 Suppose 5*p - 7 - 13 = 0. Suppose i - p = -2*r + 3*i, -2*i + 2 = 0. Calculate the remainder when 4 is divided by r. 1 Suppose 2*f = 5 + 23. Suppose -3*w = 5*k - 221, -107 = -w - k + 6*k. Suppose 0 = -3*x + 5*x - w. What is the remainder when x is divided by f? 13 Let l(m) = -2*m**3 - 3*m**2 + 5*m + 3. Calculate the remainder when l(-4) is divided by 16. 15 Let a(k) = 5*k**2 + 4*k**3 + 4 - 3*k**3 + 3*k - 11*k. Calculate the remainder when 46 is divided by a(-6). 14 Let o(w) = -3*w - 2. Let k be o(-2). Let z be (-42)/(-11) - k/(-22). Let g(r) = 3*r**2 - r - 2. What is the remainder when g(z) is divided by 15? 12 Let a(b) = b**3 + 9*b**2 - b. Let y be a(-9). Suppose 3 = -2*z + y. Suppose -4*n + 6 = -26. What is the remainder when n is divided by z? 2 Calculate the remainder when (-5 - (-8)/4)*(-82)/3 is divided by 17. 14 Suppose 0 = k + k - 124. Let c = k - 35. Calculate the remainder when c is divided by 15. 12 Let s = 8 + -4. Let r(m) = 4*m. Let q be r(-6). What is the remainder when s is divided by 4/14 - q/14? 0 Let h(t) = 27*t + 1. What is the remai
{ "pile_set_name": "DM Mathematics" }
2 (b) -5/12 (c) 4/3 (d) 0 (e) -5 (f) -606 c Which is the fifth biggest value? (a) 0 (b) -0.2 (c) 1.27 (d) -2 (e) 99 (f) -1 (g) 0.5 b Which is the third smallest value? (a) 3/14 (b) 1 (c) 0.05 (d) -94 (e) 0.4 (f) -3 c What is the smallest value in 29, 28, 2/17, -23? -23 Which is the smallest value? (a) 4 (b) 2.1982 (c) -0.1 (d) 3 (e) 1/3 (f) -0.3 f Which is the seventh biggest value? (a) -4 (b) 2/7 (c) 0.7 (d) 2/3 (e) -20 (f) -4/45 (g) 0.2 e What is the third biggest value in -0.12, -1/332, -3, -672/29? -3 What is the fourth smallest value in 1/391, -33, -2, -1.2, -0.4? -0.4 Which is the second smallest value? (a) 37566 (b) 2 (c) -7/3 (d) 0.05 (e) -1/4 e What is the third biggest value in 1/4, 4/5, 4, -52, -833, -5? 1/4 Which is the fourth smallest value? (a) -2 (b) 3/28 (c) 0 (d) 5 (e) -85.5 b Which is the second smallest value? (a) 2/7 (b) -1081/5 (c) -0.2 (d) 0.4 (e) 1037 c Which is the third biggest value? (a) 0.01 (b) -1 (c) 1/3 (d) 717508 a Which is the fifth biggest value? (a) -0.1 (b) -155 (c) 2 (d) -65 (e) -3 b What is the fourth biggest value in 1/4, 5, 1/3, -0.1, -32, -15948? -0.1 What is the fourth smallest value in 0.3, -9, 0.5, 4992? 4992 What is the smallest value in -37, 0.0234, -1/10, 2, 2/5? -37 What is the second smallest value in 0.4, 4, -0.13, -2/15, 0.13696? -0.13 What is the biggest value in 51, -5, -4713/5? 51 What is the fifth biggest value in -1/4, 0.4, 193, 2/13, -2/51, 0, 78? 0 Which is the biggest value? (a) -23 (b) -127 (c) 0.9 (d) 0.407 (e) 5 e Which is the seventh biggest value? (a) -23 (b) 0.06 (c) -3 (d) -1/2 (e) 39.7 (f) -5/4 (g) -2 a What is the seventh smallest value in 20, -3, 0.05, -8, -2/17, 0.018, -4? 20 What is the smallest value in 1/4, -1/34, -219/5, -1, -7, -5? -219/5 Which is the second biggest value? (a) 0.04984 (b) -2 (c) 2/13 (d) -3 (e) 2/23 e What is the second smallest value in 0.34574, -5, -6/7? -6/7 Which is the seventh biggest value? (a) 19151 (b) 1/184 (c) -4/5 (d) 1/4 (e) 2 (f) 3/5 (g) -0.5 c Which is the second smallest value? (a) -1 (b) -14.5 (c) 474/17 a Which is the fourth biggest value? (a) 0.13 (b) 33088 (c) -5 (d) 4 (e) 9/10 a What is the biggest value in -3/23, 3/16, -5/4, 3, -1, 0.209? 3 What is the sixth smallest value in 2/17, -4/9, -3.468, -0.5, -0.4, 1? 1 What is the biggest value in 41, -5, -0.5, -4, 125? 125 What is the third biggest value in 1/4, -0.05, 3/5, 213/28, -4? 1/4 Which is the sixth smallest value? (a) 4/91 (b) 2 (c) -4 (d) 1/3 (e) -0.4 (f) -3/7 b Which is the fourth biggest value? (a) -0.29 (b) 0.04 (c) -63 (d) -1282 (e) 0 c What is the third biggest value in -0.9, 1, -0.6, -0.2, -3, -27? -0.6 Which is the second smallest value? (a) -2 (b) 3787 (c) -33 a Which is the second biggest value? (a) 3.3 (b) -20/3 (c) -1/15 (d) 4 (e) -148 a What is the second biggest value in 18, -0.2, -9, 5/4, 1, -3/4? 5/4 Which is the biggest value? (a) -10 (b) 2 (c) -1040.3 b What is the third biggest value in -972, 10, 3.14? -972 Which is the fourth smallest value? (a) -1/250 (b) 0.2 (c) -2/7 (d) -2 (e) -160 (f) 8 a Which is the fifth biggest value? (a) 29 (b) 0.35 (c) -3 (d) 1/2 (e) 2/3 (f) 17 b Which is the fifth smallest value? (a) 348 (b) -0.4 (c) -1 (d) -63 (e) 0 (f) 0.5 f Which is the third smallest value? (a) 1/2 (b) -238 (c) -30 (d) -3 (e) -55/4 e Which is the biggest value? (a) -18307088 (b) -5/4 (c) -5 b Which is the fifth biggest value? (a) -67/32 (b) -0.3 (c) 0.5 (d) -3 (e) 0.049 d What is the third smallest value in 0.9, 11.336, -96, -2, 2/5? 2/5 Which is the third smallest value? (a) -7 (b) 0.224 (c) 204 c Which is the third smallest value? (a) 5 (b) -6/7 (c) -1.2 (d) -4 (e) -6981 (f) -1 c Which is the biggest value? (a) -0.003 (b) -1 (c) -2/113 (d) -1/2 (e) 2 (f) -5 e Which is the second biggest value? (a) 0.278 (b) -3/7 (c) 50020 (d) -3 a Which is the smallest value? (a) -91 (b) 159 (c) 66 a Which is the second smallest value? (a) -764401 (b) -2/5 (c) -9 c Which is the fourth biggest value? (a) 0.5 (b) 1 (c) -0.01 (d) -0.5 (e) 0.065 (f) -6/7 c What is the smallest value in -1/9, 2/37043, -1/4, -5/8, -1/5, 1/2, -1? -1 Which is the second biggest value? (a) -4 (b) 0.02 (c) 242 (d) 2 (e) -54 d What is the biggest value in 15, 45, -31.1? 45 What is the smallest value in 6967.64, -0.2, 1.8? -0.2 What is the second biggest value in -0.5, -3, -4, -5, 14, -15? -0.5 Which is the second biggest value? (a) 45/2 (b) -57 (c) -3 c Which is the third biggest value? (a) 2/225 (b) -2 (c) -963 (d) -9 (e) 2/9 b What is the biggest value in -0.9, 59652, 2/5? 59652 What is the second biggest value in -0.3, 0.4, -201519/19? -0.3 What is the fourth biggest value in -4/3, 0, -0.07, 2/363, 0.52, -11/4? -0.07 Which is the fourth smallest value? (a) -2/9 (b) 61/14 (c) 2 (d) -2/11 (e) 1 (f) -30/13 (g) -1/5 d What is the third smallest value in -6, 284286, 5? 284286 Which is the sixth biggest value? (a) -215 (b) 0.2 (c) -2/5 (d) -5 (e) -2/3 (f) -52 a Which is the second smallest value? (a) 3/7 (b) -2 (c) 0.04 (d) 3 (e) -243 (f) -0.4 b What is the fourth smallest value in -2/1961, 1, 0.74, -2, -1? 0.74 Which is the sixth smallest value? (a) -2/3 (b) 2/3 (c) 7449 (d) -2/51 (e) -3 (f) 3 c Which is the fifth biggest value? (a) -0.1 (b) -5 (c) -1/4 (d) 1/2 (e) 0.2 (f) 95 (g) 26 a Which is the third smallest value? (a) -22 (b) 13 (c) 192 (d) 0.9 b Which is the fourth biggest value? (a) -54 (b) 3 (c) -0.103 (d) -2 (e) -0.23 (f) 0.5 e What is the biggest value in -0.86, 3/4, 0.052, 1/6, -11, -1, 2? 2 Which is the second biggest value? (a) -224 (b) -2/11 (c) 11.66 b What is the biggest value in 5, -0.4, -3/14, 13, -1/12, -198? 13 Which is the smallest value? (a) 9 (b) 7 (c) 1/3192 c Which is the third smallest value? (a) -0.215 (b) 0.4 (c) 0.5 (d) 652 (e) 3 c Which is the second smallest value? (a) -16/9 (b) -0.104 (c) -584 a What is the biggest value in -44828, 2, 0, 580? 580 What is the third smallest value in 767/7, 2.03, -3/4? 767/7 Which is the third biggest value? (a) -1633/6 (b) 2/3 (c) 4293 a Which is the second biggest value? (a) -2.76 (b) 5 (c) 4 (d) 1 c What is the third biggest value in -0.8, 4.9, 3046/3? -0.8 What is the second smallest value in -0.52524, -286, 2/27? -0.52524 Which is the third smallest value? (a) -1/10 (b) -0.0135 (c) 0.5 (d) -2 (e) 1 (f) -0.4 a Which is the third biggest value? (a) 0.1 (b) 12 (c) 4 (d) 32250 c Which is the third smallest value? (a) 13 (b) -1.862 (c) 3/4 (d) -4 (e) 1 (f) -0.6 f What is the second smallest value in -1, 1, -3/4, -2/1279457, -0.2, -0.1? -3/4 What is the biggest value in -2/2709, -4, -6148? -2/2709 Which is the third smallest value? (a) 15 (b) 12/11 (c) -0.04 (d) -4/5 (e) -828.2 c Which is the fourth smallest value? (a) 19 (b) -341 (c) 6 (d) 4/3 (e) -0.14 (f) -2/5 d What is the third smallest value in 14024, 5, 22467? 22467 Which is the fifth smallest value? (a) 5/6 (b) -10 (c) 5/4 (d) 3 (e) 2 (f) 2/5 e Which is the biggest value? (a) 1.1 (b) -0.012 (c) 4/2737 a Which is the seventh smallest value? (a) 2/9 (b) 216 (c) 6/17 (d) 2/7 (e) -0.09 (f) 3/4 (g) 5 b What is the fifth biggest value in -0.0249, 4, 5, -2/9, -2217? -2217 What is the third biggest value in -322, -21, -3/8, -1/3, -1778, 3? -3/8 Which is the sixth smallest value? (a) 5 (b) 1/3 (c) -2/3 (d) -0.4 (e) -4183 (f) -0.19 (g) -1 b What is the biggest value in 6.5, -39, 1/5, -13/218, 3/2? 6.5 What is the fourth biggest value in 56.1, -2/5, 0.594, -2? -2 Which is the third smallest value? (a) -0.5 (b) -346.8 (c) -3.6891 a What is the smallest value in 0.8, -0.4, -91, -11398? -11398 What is the fifth biggest value in 0.4, -3, -7, 1, 6062821? -7 Which is the biggest value? (a) 0.404 (b) 99 (c) -3/14 (d) 5 b What is the third smallest value in -5207/6, 1, 166? 166 What is the fourth biggest value in -3/7, -6, 6, 2/589, 5? -3/7 What is the third biggest value in -2011, -1/308, 31? -2011 What is the third smallest value in 2, 2/3513, -0.5, -1033, 5? 2/3513 What is the second smallest value
{ "pile_set_name": "DM Mathematics" }
rder. 4, -2, a Suppose 3*c + 3 = -3. Suppose 2*u + u + 3 = -3*j, 3*j + u = 5. Let b(h) = -h**3 + 2*h**2 + 2*h. Let m be b(j). Sort -4, c, m in ascending order. -4, m, c Let o(d) = 2*d - 3. Let c be o(6). Sort c, 4, 2 in ascending order. 2, 4, c Suppose -2*l + 3*x + 19 = 0, 4*l + 17 = -5*x - 0*x. Let k be l/6 - 1/(-15). Let f = 3937/13 - 303. Sort -2, k, f in decreasing order. k, f, -2 Suppose l - d = -6 + 2, 0 = -l - 5*d + 14. Let h(w) = w**2 + 5*w - 6. Let n be h(-6). Let f = n + -3. Put f, l, 5 in increasing order. f, l, 5 Suppose -t - 4*i - 7 = -5, -i + 5 = 3*t. Put -2, 1, t in decreasing order. t, 1, -2 Let z be (2 - 30/14)*(25 - 26). Sort z, -4/7, 3/2 in ascending order. -4/7, z, 3/2 Suppose -4 = -2*r - z, -4*r - 5*z - 3 = 1. Let w = -0.36 + -0.66. Let s = w - -0.02. Sort r, -4, s in decreasing order. r, s, -4 Let o be (-7)/(-3) - (-13 + 14). Let u = -1055287 + 471712985/447. Let i = u - -2/149. Put i, o, -0.3 in ascending order. i, -0.3, o Let a = -110/3 - -37. Let h = 0.06 - 2.06. Sort h, a, -3. -3, h, a Let i = -9 - -8. Let r = 13 - 9. Put i, r, 1 in ascending order. i, 1, r Let v = -2.2 + 1.4. Let k = v + -1.2. Sort 2/7, k, 0.3 in descending order. 0.3, 2/7, k Let s = -42.1 + 42. Sort s, 1/10, 2 in increasing order. s, 1/10, 2 Suppose 7*z - 6 + 13 = 0. Sort 1, 0, z. z, 0, 1 Let h = 0 - -0.4. Let k = 0 - 2. Let p = 1 - k. Put -2/9, h, p in descending order. p, h, -2/9 Let f = 0.7 + 2.3. Let q = 76 + -305/4. Put -4, f, q in descending order. f, q, -4 Suppose 7*s + 13 = -1. Suppose 0 = 3*r - 0*r - 6. Sort r, s, -5 in descending order. r, s, -5 Let c = 0.1 + -0.1. Let a = -7.58 + 0.48. Let b = 7 + a. Put c, b, 4 in increasing order. b, c, 4 Let p = -1 + -4. Let o be 4*-1 - (6 + p). Sort o, 1, 3 in ascending order. o, 1, 3 Let p = 0.11 + 0.29. Let n = -143/4 - -36. Put p, 4/7, n in increasing order. n, p, 4/7 Suppose 3*b - 25 = -4*o, -4*o - 4*b + 32 = o. Let u be 6/(-4)*(-64)/12. Let q = u - 6. Sort q, o, -3 in descending order. o, q, -3 Let a = 17 - 17.44. Let r = a - 0.06. Sort r, 2/9, -1/6. r, -1/6, 2/9 Let r(j) = j**2 - 9*j + 2. Let t be r(9). Suppose -19 = -3*c - 5*h, -3*h + 20 = 5*c - 1. Sort c, -5, t in decreasing order. c, t, -5 Let d = 1631/9 + -181. Let j = 26 + -20. Put d, -5, j in decreasing order. j, d, -5 Let y = -6 + 5. Sort -5, y, 1 in descending order. 1, y, -5 Suppose 3*q = -4*m + 2*q + 13, 5*q = m + 2. Put -4, m, 0 in descending order. m, 0, -4 Let v = 2 + -1.4. Let i = v + -0.3. Put -2/7, i, -5 in descending order. i, -2/7, -5 Let k = -5 - -6. Let m be k/((3 + -1)/(-2)). Let n be (m*0/(-3))/(-2). Sort 1, -2, n in increasing order. -2, n, 1 Suppose 5*t + 65 = 5*z, 2*z - 3*t - 8 = 22. Let q be ((-984)/(-9))/(10/15). Let o be 2/z - q/(-72). Sort 0, o, 5 in decreasing order. 5, o, 0 Suppose c + 3 = -4*n + 18, 2*c + 10 = 2*n. Suppose 4*b = n*f + 4, f = -f - 2. Put b, 5, -1 in ascending order. -1, b, 5 Let r = -24.4 + 24. Put 0.01, 0, r in decreasing order. 0.01, 0, r Suppose -q - p = 1, 0 = -q + 4*p + 3 - 9. Let i(n) = n**2 + 5*n + 2. Let t be i(q). Sort -3, t, -2. t, -3, -2 Suppose -3*h + 6*h = -3*w - 24, 0 = 2*h + 4*w + 26. Put -12, h, 1 in descending order. 1, h, -12 Let r = -32 + 31.9. Put -2/13, 9, 0.3, r in ascending order. -2/13, r, 0.3, 9 Let l = 3 + 3. Let v(t) = -t**3 + 7*t**2 - 5*t + 4. Let o be v(l). Put o, 1, -4 in decreasing order. o, 1, -4 Let f = 7 - 4. Sort -0.04, f, 1/5 in increasing order. -0.04, 1/5, f Let h be 232/(-48) - (-2)/(-12). Put h, 0, 1 in descending order. 1, 0, h Let b be (2 - 1)/(13/(-39)). Sort b, 22, 3 in increasing order. b, 3, 22 Suppose 5*v + y = 1 + 5, -5*v - 5*y = -10. Sort 0, v, -3, 2. -3, 0, v, 2 Let a = -12.1 - -14.11. Let h = -0.01 + a. Let p = h + -6. Sort 2/3, p, 2/19. p, 2/19, 2/3 Let z(m) = m**3 + 5*m**2 + 6*m + 1. Let u be z(-4). Sort 1, u, 0 in descending order. 1, 0, u Let i be (2 - 1)/(1/204*4). Put i, 3, -4 in decreasing order. i, 3, -4 Suppose 2*l + 4*i = 16, 3*l - 1 = -2*i + 7. Let o = 5 - 4. Put -5, l, o in decreasing order. o, l, -5 Let n be -1 + -2 - (2 - -1). Let a be 45/42 - n/(-4). Sort -2/15, a, 2/9 in decreasing order. 2/9, -2/15, a Let p be -3*(-3)/9 + 2. Let k(b) = -4*b - 7. Let f be k(p). Sort f, -4, 0 in decreasing order. 0, -4, f Let c(q) = -q**3 - 2*q**2 - q + 5. Let z be c(0). Let d be (4/2 + -1)*1. Sort d, z, -1 in descending order. z, d, -1 Suppose z - 2 = l - 3*l, 10 = -3*z - 2*l. Let i(q) = -q - 3. Let y be i(z). Sort -2, 1, y in decreasing order. y, 1, -2 Let r = -30 - -29. Put 2, r, 9 in ascending order. r, 2, 9 Let u = -6 - -8. Suppose -1 - u = -3*s. Put 3, -3, s in ascending order. -3, s, 3 Let v = -26 + 6. Let f = 15 + v. Sort f, 2/11, 1/15 in decreasing order. 2/11, 1/15, f Suppose 0 = -0*n + n + 3. Let p be 6/4*(-1 + 3). Let j = -7 + 12. Sort n, j, p in increasing order. n, p, j Let a = 10.6 - 11. Sort a, -4, 2/9 in increasing order. -4, a, 2/9 Let m be (-1 - 0)*(4 - 0). Let r be 0/((3*-4)/4). Sort m, 1, r in ascending order. m, r, 1 Let p = 0 - -3. Let j = -6 + 1. Put p, 0, j in descending order. p, 0, j Let m be ((-74)/(-3))/((-5)/(-3)). Let k = -78/5 + m. Let p = 158 + -160. Put k, 3, p in descending order. 3, k, p Let t(c) = 2*c - 3. Let o be t(3). Let s(f) = f**2 - 5*f + 3. Let r be s(o). Sort 1, r, -2. r, -2, 1 Suppose 5*w - 3*w = 26. Suppose -5*o - 2*u - 16 = 0, -o + w = -3*u - 2*u. Sort -1/3, o, 5 in descending order. 5, -1/3, o Suppose 0*x + 20 = -4*x. Put 0, -3, -2, x in descending order. 0, -2, -3, x Let c = 21 + -21.8. Put -1, -3/2, c in decreasing order. c, -1, -3/2 Suppose -110 = -5*f - 0. Suppose 3*l = -4*i - f, -26 = 5*l - 3*i - i. Sort 2, l, 4 in increasing order. l, 2, 4 Let d = -2.2 + 2.18. Sort -1, 1, d in descending order. 1, d, -1 Suppose 12 + 73 = -5*k. Let z = k + 12. Put 1, -4, z in descending order. 1, -4, z Suppose -6*t + 3*t = -12. Sort 5, t, -2 in increasing order. -2, t, 5 Let c be 844/(-210) + 4 - 0. Let i = 5/42 + c. Put i, 2, 0.4 in decreasing order. 2, 0.4, i Suppose -3*n - n + 8 = 0. Let i = 15 - 18. Sort n, -2, i. i, -2, n Let c = -235 - -2113/9. Let x be (-6)/(-8) - (-102)/24. Let d = x + -4. Put c, d, 1/6 in increasing order. c, 1/6, d Let x = -13/2 + 199/30. Let c be 8/27*6/4. Put 3, x, c in descending order. 3, c, x Let f = -103/240 - -9/16. Put 5, f, -0.4 in increasing order. -0.4, f, 5 Let r = -62/75 - -6637/75. Suppose -5*v = -121 - 324. Let j = r - v. Sort 0, j, -1/8 in decreasing order. 0, -1/8, j Let y = 45 - 227/5. Sort -1/2, y, -11/2 in decreasing order. y, -1/2, -11/2 Let h = -192 - -196. Suppose -6 = 3*y + 9. Put 5, y, h in decreasing order. 5, h, y Suppose 18*p - 9 = 15*p. Let f = 3 - 3.2. Put -0.5, f, p in descending order. p, f, -0.5 Suppose -5*s - 11 = -2*u, -7 = -u + 3*s + s. Suppose -6*n = -3*n. Suppose -3*i - u - 3 = n. Sort i, 3, -3 in decreasing order. 3, i, -3 Suppose -4 + 1 = 3*o. Sort 2, -3, o. -3, o, 2 Let l = -0.24 + 0.2. Let c = l + 0.14. Let n be (-6)/(-21) - 16/154. Put n, c, -1 in descending order. n, c, -1 Suppose 12*m - 14*m = -8. Sort m, -2, -13 in descending order. m, -2, -13 Let z(u) = u**2 + 2. Let w be z(0). Let q = -7 - -2. Let b be (-1*2/w)/q. Put 5, b, -0.2 in descending order. 5, b, -0.2 Let h = 5 - 7. Let b = -0.3 + -0.2. Let f = b - 3.5. Sort h, 2/15, f. f, h, 2/15 Suppose 0 = -4*n + 3*n + 3. Let k = n - 8. Put -4, k, 4 in descending order. 4, -4, k Suppose 4*y = 3*j + 10, 2*j + 6 = -y + 7*j. Suppose 11 = -y*t - 5. Let h be 2/(-3) + (-32)/(-66). Sort t, 0.5, h in decreasing order. 0.5, h, t Let y = -4 + 2. Suppose i - 16 = 5*i. Let r be 2/i - 14/(-4). Put 0, r, y in decreasing order. r, 0, y Let f = -10 - -11. Suppose r = -r - 2*c, 0 = 4*r + 2*c - 10. Sort f, r, -3. -3, f, r Let q = -36 + 33. Let z = 5 + -5. Sort 1, q, z in increasing order. q, z, 1 Let n = 2.4 - 2.3. Put -3, -4/9, n, 1/6 in increasing order. -3, -4/9, n, 1/6 Let x(c) = 4*c**3 + 2 + 0*c**3 - 2*c - 5*c**3 + 2*c**2. Let s be x(2). Let u(t) = -t**3 + 9*t**2 + 2*t - 13. Let q be u(9). Put s, q, 0 in ascending order. s, 0, q Suppose 2*p + 2*v - 58 = -0*p, 0 = 5*p - 3*v - 129. Let q be 2/(-9) + 114/p. Suppose 9 = -3*m - 2*j, 7*j = 5*m + q*j + 34. Put 5, 1, m in decreasing order. 5, 1, m Let k = 12 + -6. Suppose k*u = 2*u + 20. Put -3, -2, u in ascending order. -3, -2, u Suppose -q - 3*q = 0. Suppose
{ "pile_set_name": "DM Mathematics" }
is -3 - 9 - (6 - -3 - 31)? 10 Calculate -3 + 1 + (4 - 6) + 8. 4 Evaluate 1 - (-67 + 35 - -11). 22 Calculate -4 + 23 + (-286 - -235). -32 What is 13 - -19 - 0 - 23? 9 What is 16 + (60 + -56 - (9 - 1))? 12 What is the value of -1 + 1 - -7 - (15 + -10) - 7? -5 Evaluate -7 + 0 + (12 - (8 + 5)). -8 What is 4 + (19 - -1) - 15? 9 What is the value of (-2 - -1) + (-10 - (37 + -32))? -16 0 + -3 - ((18 - 23) + 22) -20 What is 10 - (-9 + 19 - 15 - -16)? -1 Evaluate -11 - -19 - (-2 + -1 + 6) - 2. 3 What is 9 - -4 - (5 - (-2 - (3 - 7)))? 10 Evaluate 4 - 0 - 53 - (-85 + 66). -30 Evaluate -14 + -4 - -1 - -31. 14 What is 0 - -2 - (-1 + -16 + 21) - -3? 1 What is the value of (-86 - -94) + (-3 - -3)? 8 What is the value of 8 + -3 + 2 + (-35 - 0)? -28 2 + 3 + 0 + -21 + 22 + 7 13 What is the value of -6 + (5 - -4) + -4 + 8? 7 What is the value of -3 + 11 - (-7 + -1 + 1 + -3)? 18 (-10 - -10) + (-1 - 16) - (19 + -17) -19 -10 + (4 - 4 - 1) + 14 + -8 -5 Evaluate -8 - 4 - (1 + 12 + -18) - -5. -2 Evaluate 1 - -13 - (-55 - -52 - (-11 + 5)). 11 Evaluate (2 - 26) + (-13 - (-4 + 2 + -6)). -29 Evaluate -7 + -11 - (13 + -5 + 3 - 6). -23 What is the value of 3 + 0 - (4 - (-8 - -24) - -23)? -8 What is the value of -4 + (10 - 21) + 1? -14 What is the value of (-28 - (6 + -32)) + 2 + -15? -15 What is 12 - (24 + 13 + (-6 - 10))? -9 Evaluate -4 + -11 + 12 + -10 + 0 + 3. -10 What is 4 - (14 + -5 + 1 - 6)? 0 13 + (-7 - -3) - (8 + -5) 6 Calculate (-2 - 12) + 5 + 19. 10 Evaluate (16 - -3 - 11) + -11. -3 Evaluate (-11 + 2 + 10 - -13) + 10. 24 Evaluate 12 - (-5 + 8 - -6) - -8. 11 Calculate 191 - 191 - (-3 - (3 - (0 + 0))). 6 Calculate -13 - -5 - (-45 + 16). 21 6 + -1 + (62 - 49) 18 Calculate -25 + 32 + -10 + 1. -2 Evaluate -8 + (-2 - -6 - (-7 + -8)). 11 139 + -142 + (0 - -3) + -3 + -16 -19 What is 644 + -654 + -1 + (0 - -2)? -9 What is (3 - (-1 + 2) - -21) + 272 + -269? 26 What is 2 + 16 + -26 + 14? 6 1 - (1 + 1 + -8) - (-1495 + 1485) 17 What is 4 - (-1 + (0 - 1)) - (-107 - -119)? -6 What is the value of (-3 - -10) + (-11 - -8) - -6? 10 Evaluate 47 + -36 + -17 + 0 + -4. -10 Evaluate -4 - (-20 - (-14 - 3)). -1 Evaluate (-16 - (1 - 0)) + -2 + (1722 - 1723). -20 (-29 - (24 - 5)) + 9 - -18 -21 What is the value of 4 - (-6 + 14 - 3) - 0? -1 Evaluate 1 - (-9 + 2) - (-37 + 56 + -5). -6 Calculate -24 + (-4 - (-11 + -5)). -12 Evaluate -2 + -3 + -2 + (-11 - -16). -2 -12 + 13 + (-12 - -2) -9 -7 + (37 - 19 - ((11 - 6) + -3)) 9 What is the value of -61 + (66 - (28 + 10))? -33 (-3 - 1) + 4 + (-15 + 30 - 13) 2 Evaluate 7 - (8 - (12 + (-12 - -4)) - 8). 11 Evaluate -54 - -45 - (-2 + (-2 - -7) + -20). 8 -13 + 24 - 20 - (18 + -6) -21 What is the value of (15 + 15 - (10 - 0)) + (1 - 2)? 19 Calculate (-6 - -1) + -33 + 27 + 0. -11 What is -85 + 89 - (0 - -5)? -1 Evaluate -2 - (-2 + -2 + 0) - (-39 - -32). 9 Calculate 27 + 1 + (-394 - -363). -3 Evaluate (-6 + 8 - 5) + 4 + 6 + -6. 1 Calculate -11 + 0 + 24 - 21 - -19. 11 What is -133 + 148 - (27 + -2 + 1)? -11 What is the value of 8 - ((0 - 1) + 23 + 0 + 7)? -21 (-55 - -32) + 15 + 0 + 22 14 Evaluate -38 + 52 - (5 + -6). 15 What is the value of 11 - (6 - 4 - (5 - 4)) - -1? 11 (63 - (25 - 9)) + (2 - 17) 32 Calculate -11 + (5 - (-23 + 8 + -12)). 21 What is 8 - -2 - (4 - -6)? 0 Calculate -11 + (-2 + -3 - 1 - (1 + -11)). -7 Evaluate -3 + (13 - (-9 + (1 - -12))). 6 Calculate 1 + (-4 - ((0 - 5) + -9)). 11 8 + (-22 - -6 - (-11 + 3)) 0 Evaluate (10 + -12 - 17) + 11. -8 Evaluate (31 - 0) + (-18 + 64 - 55). 22 Evaluate 390 + -354 - (0 - -4). 32 What is the value of 1 - ((-4 - (-2 + 0)) + 4 + 1)? -2 What is the value of 3 + 7 - (-46 + 50 + -2 + 1)? 7 What is the value of (-13 + 30 - 9) + (3 - -3)? 14 Calculate -16 - -35 - (-1 + 26). -6 -14 - (-6 + -5 + -1 + 2 + 2) -6 Calculate -4 + 9 + (166 - 179). -8 Calculate -4 - 5 - (-12 - 1). 4 79 + -67 + (-19 - 3) -10 What is the value of (-430 - -400) + (38 - 0)? 8 What is the value of -5 - (-5 + 4 - -11) - 0? -15 Evaluate 2 - -19 - (38 - 21 - 15). 19 Evaluate 6 - -4 - (-30 - (-42 + 5)). 3 Evaluate -14 + 14 - (-3 + -2 - -1) - 18. -14 Evaluate -11 - (-18 - -8) - -12. 11 Calculate 38 - ((13 - 16) + 16). 25 What is (-8 - 8 - 1) + 13? -4 Calculate 3 - -1 - (6 + 8) - (-5 + 4). -9 What is -5 - (8 - (-8 - -28)) - -2? 9 Evaluate -1 + 11 - (-21 - (-27 - 18)). -14 Calculate 8 - (6 - (10 - 13 - -4)). 3 Calculate 7 + 7 - 20 - (1 - (2 - 0)). -5 What is the value of -6 + 4 + 4 - (-1 - 3) - 20? -14 -2 - 2 - (-7 + -6) - 0 9 Evaluate -5 - (-48 + 33 + -18). 28 What is 6 + (18 - 23) + -3 + 2 + -11? -11 Evaluate -8 + -6 - (4 - 7). -11 What is 1 + 10 + -11 + -5 + 0 + 10? 5 Calculate 8 + (-2 - (-3 + 3)) + -2 + -23. -19 Evaluate 7 - (10 + -1) - (6 - 0). -8 (8 + -2 + -1 - 14) + -4 + -1 -14 Calculate 4 + 7 + -11 + 6 + (0 - -7). 13 Calculate -5 - (-11 + 0 + (6 - -1)). -1 2 - 0 - (-1 - ((7 - 3) + -1)) 6 Calculate 3 + -2 + ((5 - 5) + 5 - 15). -9 What is (-5 - 24) + 12 + 4? -13 What is the value of -2 - 0 - -11 - 2 - (615 - 594)? -14 Calculate 11 + -10 + (-12 - 0). -11 What is -17 - (-42 + 40) - 0? -15 Evaluate (-1 + 7 - (0 + (-10 - -10))) + 7. 13 What is (-1 - -3) + 5 + 0 + 1090 + -1083? 14 What is 37 + (-11 + 31 - 28)? 29 Calculate 14 - (13 + (8 - 12)). 5 Evaluate -36 - ((19 - 14) + -9). -32 What is the value of (-15 - (-8 - -5)) + (7 - (5 - 4))? -6 6 - (22 + -13 + -32 + 14) 15 What is 1 - (1 - 2) - (23 + 6 + -31)? 4 -1 + 10 + -6 + (-26 - -23) 0 What is (-105 - -109) + (-9 - 3)? -8 Evaluate (0 - (-8 + -3)) + -20. -9 Evaluate -29 + 9 - 8 - -13. -15 (3 + 0 - (-12 - -13)) + (-1 - -11) 12 What is -5 + (-15 - -22) + 5 + -3 + 0? 4 Evaluate 1 + (3 + -2 - ((0 - 8) + 6)). 4 What is the value of -13 - (-11 + 51 - 24)? -29 What is the value of 637 - 663 - (-1 - -2)? -27 Calculate 51 - 48 - (-1 - -3 - 7). 8 What is 534 + -511 - (45 - 0)? -22 What is (-5 - (-13 + 23)) + 0 + 43? 28 2 + (3 - 6) - 5 -6 What is 0 + 1 + 0 + (1 - -3) + 8? 13 -36 - -42 - (-7 - -2 - -2) 9 What is 9 + (10 + -22 - -28) + -21? 4 What is the value of 17 + -16 + (-16 - -8) + 5? -2 4 + (1 - (6 - (-3 - -9))) 5 What is the value of (77 + -66 - (1 - -4)) + (-2 - 25)? -21 Evaluate 1 + (-3 + -3 - (1 - 3)) + -2. -5 (2 - (4 + -7)) + -17 + 0 + 1 -11 (-1 - (8 + -4)) + (-33 - (-36 + 21)) -23 (-7 + -1 - 4) + 20 - (-1 - 2) 11 -1 + 1 + 45 + -28 + (-13 - -2) 6 What is (6 + -6 - -2) + 15 + -4? 13 Evaluate (4 - 18) + (8 + 6 + -10 - 4). -14 What is the value of (-1 - (3 - 10)) + -12? -6 What is the value of 1 + 14 + -35 + 14? -6 What is -4 + (5 + (4 - 5) - 6) + 9? 3 What is -17 + 3 - (134 - 119 - (-1 + 11))? -19 Calculate -2 + -7 + -22 - -17. -14 Calculate (8 + -4 - (-8 + -1 + 11)) + 31. 33 What is the value of (15 - -5) + -27 - -15? 8 Evaluate 14 + 0 + 0 - 20. -6 (0 - -6) + (-31 - -5) + 5 + -8 -23 What is the value of (-6 - (-9 + -11 + (-5 - -6))) + -11? 2 17 - (2 + -1 + -25 + 29) 12 (-13 - 1) + (98 - (18 - -43)) 23 Evaluate (9 - 8 - -25) + (-7 + 0 - 1). 18 Calculate -10 - (-15 - (11 - 24)). -8 What is the value of (0 - 6) + (-17 - -36 - 13)? 0 What is the value of (-43 - -27) + (-1 - -9) - -14? 6 Evaluate -143 - -142 - (1 - (5 + -2 + 2)). 3 Evaluate 5 + (-7 - (-9 - -2)) + -7. -2 -25 + -14 + -11 + 29 -21 What is the value of 5 + (-15 - (8 - 16)) + 11 + 4? 13 Calculate (-13 - -5 - -16) + -6 + -8. -6 What is 6 - ((-9 - (-4 + -12)) + -19)? 18 What is the value of (-2 - 34) + (103 - 64)? 3 What is the value of -10 + (8 + 1 + 17 + -18 - -7)? 5 Evaluate -183 - -167 - (-9 + -1). -6 (-5 - (-7 + 2) - 4) + 16 - -2 14 What is -45 + 3 + 21 + 23? 2 What is (-64 - -61 - (-1 + -5)) + 1 + 14? 18 What is -16 + 7 - -14 - 1? 4 What is the value of 110 + -142 - (-22 + 2)? -12 What is -2 + 2 + (-65 - -55)? -10 Calculate -10 + (-2 + (-4 - 2) - -2). -16 Calculate 52 - 10 - 50 - (-5 - 0). -3 -12 + (9 - 5 - -1 - (2 - 3)) -6 Evaluate 0 - -3 - (-36 - -34) - (-4 + -3). 12 Calculate -17 + (2 - (-6 + 20) - (10 - 14)). -25 What is the value of -3 + (7 + -3 - 2) - (18 + -7)? -12 What is (-13 - 4) + (-8 - -23) - (0 + 9)? -11 What is -14 + (3 + -9 - -9)? -11 What is 5 + 4 + 0 + (2 - -1 - 7)? 5 Calculate (-1 - -2) + (-12 - (-46 + 35)). 0 Evaluate (-287 - -287) + (-3 - (-13 - 2)). 12 Evaluate 0 + 5 + (314 - 312) + -23. -16 Evaluate 5 - ((9 - 0) + 6). -10 What is the value of 0 + (-28 - (4 - 56))? 24 (-15 - -7 - -13) + -18 + 33 20 Calculate 5 - 1 - (
{ "pile_set_name": "DM Mathematics" }
3*z + 3 = u. Solve -3*x = 2*x - 2*y + u, 3*x = 3*y for x. -3 Suppose -2*i = -0*i - 3*t - 11, -5*i + 18 = 2*t. Solve 2*s = 4*s + 8, 2*p + s + i = 0 for p. 0 Let g be -5 - -2 - (-2 + 3). Let j be (5 - -4) + g/1. Let o(n) = -n**2 + 5*n + 3. Let x be o(5). Solve j*a = 3*y - 11, -y = 5*a - x*y + 9 for a. -1 Suppose 5*x + 5 = 3*q, 3*x = 4*q - 2*x - 10. Suppose -q*d + d - 4 = 0. Let y(i) = -5*i - 1. Let w be y(d). Solve -h - 4*h + 5*t = 5, 0 = -w*h - 4*t + 20 for h. 2 Suppose -5*n + 3*g = -14, -6*g = n - g - 14. Solve -5*j - 7 = n*t, 2*j = -4*t - 2*j - 8 for t. -3 Let y(a) = 19*a - 1. Let n be y(1). Solve -u - 4*u - n = -g, -4*u = -3*g + 21 for g. 3 Let o be (-6)/(-15) - (-2)/(-5). Suppose i + 0*i - 14 = o. Let t be i/6 + (-4)/(-6). Solve -t*m - b + 9 = 0, -2*m - 2*m = -5*b + 7 for m. 2 Suppose 9 - 1 = 4*k. Solve -4*i = -i - k*u - 17, 2*i - 13 = 3*u for i. 5 Suppose 2*m = 4*m + 4*g - 8, -m + 6 = 4*g. Solve m*v = v + 3*a + 3, a = v - 3 for v. 3 Let b(p) = 2*p**3 + 6*p**2 + 4*p + 2. Let q be b(-2). Solve j = h - q + 7, 0 = 3*j - 5*h - 25 for j. 0 Let r = -21 + 20. Let m be 28/(-7) + (r - -11). Solve 2*i + m = -2*z, -3*z + 3*i - 9 = -0 for z. -3 Let i(t) = -3 + 4*t + 21*t - 7*t + 4. Let z be i(2). Solve -5*v + 3*g - z = 0, -6*g + 2*g + 26 = -2*v for v. -5 Suppose 0*u - 17 = -a + u, 0 = -2*a + 5*u + 22. Solve -2*t - 7 + a = -4*l, -3*l - 12 = -t for t. -3 Let i = 28 - -28. Let b be ((-1)/(-4))/(7/i). Solve -5*f - 4*r + 20 = 0, -b*r = -2*f + 3*r + 8 for f. 4 Let n = 73 + -51. Let r = -21 + n. Solve -3*p - 3*y = -6 - 3, -y + r = 0 for p. 2 Let o(j) be the first derivative of j**3/3 - 3*j**2 - 3*j - 1. Let n be (-4)/24 + (-43)/(-6). Let s be o(n). Solve 0 = s*w - 3*f + 11, -f + 3 = -4*w - 6 for w. -2 Suppose 4*a - 5 = 3. Suppose 8 = 3*k + a*l - l, k + 8 = 5*l. Solve 0*s + 7 = -q + s, -k*q - 19 = -3*s for q. -2 Suppose -4*r - r = -20. Suppose h + h = -3*f + 52, 2*h - 2*f = 52. Suppose 5*x = h + 4. Solve -4*c - x = -7*p + 2*p, r*c + 18 = -p for p. -2 Suppose 4*a + 3*s = 8*s - 8, 29 = 3*a + 5*s. Suppose p + 1 = 2*l + 7, -p = 5*l + 1. Suppose d + 0 = p. Solve -a*r + 20 = -4*g, -g + d*g + 15 = r for g. -5 Let m = -5 - -10. Suppose 4*d - 23 = -d + 4*j, 3*d - m*j - 19 = 0. Solve x = -2*x, 5*t - d*x = 0 for t. 0 Let s = -19 + 39. Solve 2*q - 6*q + 5*t = -25, 4*t = -4*q - s for q. 0 Let r be (-3)/9 - (-80)/15. Solve 3*t + 2*g - 5 = 0, 0 = -3*t - 2*t + r*g for t. 1 Let f be -1 + 3 + 3 + -3. Suppose -2*j - 14 = -2*b, -18 = -2*b + f*j - j. Solve -2*m + 2*q + 2 = 0, -m + 3*m - 5*q - b = 0 for m. -2 Suppose -3*v + 28 = 5*l, 0 = -0*v + v - 5*l + 4. Suppose 5*z + 0*d = 2*d + 21, 0 = 5*z + d - 12. Solve -z = 4*c - 5*i, -5*i = -c - v - 6 for c. 3 Suppose -4*i = -2*i. Suppose i = -4*y + 10 + 30. Solve 0 = 2*r + 4*c - 0*c + 14, -y = -5*r - c for r. 3 Suppose -3*m + 5*f + 17 = f, -11 = -3*m + f. Let w(t) = -t**2 + t + 4. Let l be w(0). Suppose -m*y = l - 10. Solve -5*c + 3*c = y*h, 5*c - 20 = 5*h for c. 2 Suppose 0 = -m + n + 4, -2*n - 41 = -5*m - 12. Let b be -11 + m + 3 + 1. Solve -7 = -3*k - b*x + x, 3*k = 2*x + 2 for k. 4 Let y = -68 - -114. Let w be 4/10 + y/10. Solve 20 = 4*i - 8*i - 2*z, -i - w = 4*z for i. -5 Let b = -26 - -26. Solve 4*p + 4 = 3*w, b = -3*w - 0*w - p - 1 for w. 0 Let d = 10 - 7. Suppose -15 = 3*o - 4*o + 5*k, -2*k + 18 = 2*o. Let l be ((-12)/(-10))/(3/o). Solve l*q - 14 = -2*j, 6*j - d*j - 4*q = -9 for j. 1 Suppose -2*r - 19 = 3*l, 3*l = 7*l + r + 17. Let h be 1*(l - -1 - -5). Solve 4*s - 3*p = -h + 5, -5*s = p + 7 for s. -1 Suppose 4*t + 2 = -2*f, 3*t = -0*t - f + 1. Let l be ((-2)/(-2))/((-2)/(-6)). Suppose 0 = -l*i - i + 8. Solve i*a = 4*a - 8, -t*n - a - 6 = 0 for n. -5 Let k(n) = 2*n. Let z be k(1). Solve 5*y - 6*l + z*l + 15 = 0, 0 = 3*y + l - 8 for y. 1 Suppose 2*g - 4 = 2*c, c + 5 = 5*g + 23. Let m be (-6)/21 + 12/c. Let p be ((-6)/(-8))/(m/(-8)). Solve 0 = -2*n - 2, -u + 11 = -p*u - 5*n for u. -3 Suppose -5*c = 5*a - 50, -7*c + 5*c = 4*a - 30. Solve l = -8*x + 3*x - 11, -x - 3*l - a = 0 for x. -2 Let p be (-2)/5 + 7/5. Solve -g + 3 = 2*s + p, -3*s + 5*g + 16 = 0 for s. 2 Suppose 3*u + 3*c = u + 10, 2*c = -2*u + 10. Suppose -n - u*p + 14 = 0, 4*n = -p + 46 - 9. Let x = -3 + n. Solve 4*k + 11 = 5*f, x = 5*k + 2*f - 5 for k. 1 Let j(x) = -x - 1. Let h be j(-5). Let l = -10 - -12. Let a be 3/(-1)*(-3 + 2). Solve -h*w + 2*y = 6, -a*w - l*w - 2*y - 12 = 0 for w. -2 Let q(y) = 0*y - 2 - 2*y + 0*y. Let r be q(-4). Let v be 2 - -6 - (-3)/(12/(-16)). Solve v*k = -m - 15, m - 3*k - r + 0 = 0 for m. -3 Let v(n) = -n + 17. Let w be v(14). Solve w*q - 6*b + b = 0, q = 4*b for q. 0 Let z(p) = 3*p**2 - 9*p + 2. Let f be z(3). Solve f*b = -2*s + 12, -4*b + 3 = s - 18 for b. 5 Let o = -6 - -11. Let a be 24/(-40) + 3/o. Solve -3*j - 11 = -a*h + h, 5*j + 13 = h for h. -2 Let w be 56/(-1 - -8) + -2 + -1. Solve 2*o = k - 2*o + 11, 0 = w*k + o + 13 for k. -3 Suppose 1 + 1 = 2*i. Suppose 2 = 2*a, -a = -2*r - 0*r - i. Suppose -3*q - 5*z = -r*z + 11, q - 3*z = 15. Solve -q*n + 0*n - 4*g - 19 = 0, 13 = -2*n - 3*g for n. -5 Suppose -3 = -11*z + 30. Solve z*p - 3 = -4*o, 5*o + p - 2 = -p for o. 0 Suppose -4*f - 16 = -s, -3*s + 4*f + 2 = -14. Suppose -m = -s*m - 4. Solve 0 = 4*t + m*o + 16, -2*o + 3*o = 3*t for t. -1 Suppose -a + 0*a - 11 = -2*j, -2*j = 3*a + 1. Suppose 2*o = j*o - 26. Solve 5*n - 21 = 3*g - 1, -3*g - o = 2*n for n. 1 Let t be (((-150)/(-5))/5)/((-2)/(-3)). Solve 4*k + 4*g + 14 = 2, g = 2*k - t for k. 2 Let r be -3 - (-5)/(15/9). Solve 2*c - 2*t - 8 = -r*c, 2*c + 4 = -2*t for c. 1 Let z(q) = q**2 + 13*q + 16. Let a(i) = -4 + 2*i + i + 3*i**2 - 4*i**2 + 2. Let n be a(5). Let j be z(n). Solve m = -3*m + j, -2*r - 5*m + 1 = 0 for r. -2 Let v(t) = 2 + 2 - 4*t + 3*t - 3. Let g be v(-2). Solve 5*k - g*h + 0 - 2 = 0, -4*h + 8 = 4*k for k. 1 Let c be (-1 + -1)*-1 - 0. Solve 2*v + 2*z + 10 = 0, 0 = v + 5*z + c + 23 for v. 0 Let x(i) = -i**2 + 6*i + 8. Let u be x(7). Solve -5*o + h = -0*h + 9, u = -o + h for o. -2 Let l(s) = -7*s - 7. Let h(m) = -m**2. Let y(c) = h(c) + l(c). Let q be y(-5). Solve -q*z = 2*t - 17, -12 + 30 = -2*t + 4*z for t. 1 Suppose 0 = 3*x - 6*x + 6. Solve -3*k = 3*j + 3, x*k + 3 = 9 for j. -4 Let n(i) = -i**3 + 7*i**2 + 9*i + 9. Let u be n(8). Suppose -3*b = 5*m - 21, 3*m = -b - 3*b + u. Suppose t = 4 - b. Solve 4 = 2*p, 2 = 3*g + t*p - 17 for g. 5 Suppose -p + 40 = -4*n, 2*p - 27 = 4*n + 33. Let l(h) = h**2 + 4*h + 4. Suppose 12 + 0 = -4*q. Let i be l(q). Solve -4*f + p = -4*c, 3*c = -f + i + 4 for c. 0 Let b(l) = -1 + l**2 + 0*l - 1 + 2*l**3 - l. Let m be b(2). Solve -3*w - 1 = -4*w + u, w - m = -4*u for w. 4 Let z be (-1)/(-1) - (9 + -8 + -2). Let k(h) = -h - 1. Let n be k(-4). Suppose 4*u - 9 = -n*v + 9, -4*v - 7 = -5*u. Solve 5*o + 15 = 0, z = x - v*o + 3*o for x. 5 Let t be 4/((-12)/1) - (-26)/6. Solve m = -y - t, 2*m + 7 = 3*y - 1 for m. -4 Let s be (0/(-2))/((-3)/(-3)). Suppose s*l = -l + 3. Solve 2 = -5*g + 3*k, -5*g - 4*k = -l*g + 6 for g. -1 Suppose 4*b + b = 0. Suppose b = 3*x - 6 - 6. Solve -5 = -5*w - 2*u - 22, -x*w = 2*u + 12 for w. -5 Let n = -4 - -8. Suppose -2*i - 8 = 2*i, -5 = -5*h - 5*i. Let k be -1*(-6)/(-4)*(-48)/36. Solve -5*c = -n*l, -h*c = -k*l - c for l. 0 Let r be (-7 - -1) + (0 - -4). Let t be 2/(-7)*(r - 5). Solve -6 = -3*b + t*i + 8, -3*i = -5*b + 22 for b. 2 Suppose 22 + 23 = 3*i. Let d be (5 - (-63)/(-12)) + 13/4. Solve 4*b = -5*n - i, -3*n + 1 = b + d for n. 1 Let w be 0 - ((2 - 3) + -1). Let z(m) = 5 + m - w + 1. Let o be z(0). Solve -5*n + 16 = -o*f, f + 5*n + 0*n = 21 for f. 1 Let p(j) = j**3 + 12*j**2 + 10*j - 9. Let t be p(-11). Solve -5 = -4*s + 5*c - 1, -3*c = 2*s - t for s. 1 Let v(m) = 2*m + 19. Let c be v(-10). Let q = 4 - c. Solve 0 = j + 3*o - 8, q*o = 2*j - 5*j + 20 for j. 5 Let g be 15/(-5)*1 - -5. Suppose -3*m - 67 = -4*t - 27, 3*m + t + 20 = 0. Let u = 13 + m. Solve -u*s + g*s - 2*h = -6, 0 = -5*h - 15 for s. 4 Suppose 2 - 7 = -z. Suppose -z*a - 3*r - 2*r + 45 = 0, -4*r = -4*a - 4. Suppose 4*j - a = -0*j. Solve w + j = -4*b - 0, -2*b + 13 = 5*w for w. 3 Let j be 12/(-66) - (2/(-11) - 3). Solve z - j*w + 10 = 0, 5*z - z + w - 12 = 0 for z. 2 Suppose -10*s + 4 = p - 7*s, 4*p + s = 38. Solve 2*w - 2 = 2*i, -5*i + i = -w + p for i. -3 Let t(u) = 3*u - 1. Let a be t(1). Solve 4*r = a*n - 28 - 2, 3*
{ "pile_set_name": "DM Mathematics" }
x = 3 - 31/11. Sort 4, -2, x, 0.02. -2, 0.02, x, 4 Suppose 0 = j - 2*g + 4, 12*j - 9 = 17*j + g. Put -4, -5, j in decreasing order. j, -4, -5 Suppose -10*u - 420 = -16*u. Let d be 6/33 - u/22. Sort 2, -6, d in increasing order. -6, d, 2 Let u = -4/309 - 839/6798. Put -9, u, 4 in descending order. 4, u, -9 Let j(d) = d**3 - 5*d**2 - 24*d - 4. Let q be j(8). Let v(y) = y**2 + 5*y - 6. Let u be v(-6). Put q, 5, u in decreasing order. 5, u, q Suppose -r - 3 = 2*r. Let s = 26 - 22. Suppose 0 = s*h - 4*b, 0 = -3*h + 4*b - 3*b + 2. Put 3, r, h in descending order. 3, h, r Let a = 349 - 697/2. Let q = -2.858 - 0.042. Let y = 0.1 - q. Put y, -4, a in decreasing order. y, a, -4 Let d = 0.05 - -0.95. Let k = d + 6. Let u = k + -5. Put 1, u, 2/13 in descending order. u, 1, 2/13 Suppose -2*i - 16 = -38. Let r(p) = p**2 - 13*p + 22. Let s be r(i). Sort -1, -5, -2, s in decreasing order. s, -1, -2, -5 Let n(u) = u + 8 + 5*u - 7*u. Let z be n(6). Suppose 2*t + 2 = 0, 4*o - 3*o + z = -t. Put o, -3, -2 in descending order. o, -2, -3 Let c = 832 + -836. Let l = -2 - -1. Let a = 1 - l. Put a, c, -1/3 in decreasing order. a, -1/3, c Let x = -26.6 - -22.5. Sort 4, -1/2, x in descending order. 4, -1/2, x Let a = 811 + -811.5. Let p(o) = 2*o**3 - 4*o**2 + 3*o - 1. Let d be p(2). Sort a, d, 12/7 in decreasing order. d, 12/7, a Let j be 3/12*(-77 + 9). Put -1, -1/5, j in decreasing order. -1/5, -1, j Suppose c - 17 + 0 = -5*z, 15 = 3*z + 3*c. Put 4, z, 16 in increasing order. z, 4, 16 Let b be (((-39)/6)/13)/((-7)/14). Put -4, b, 136 in ascending order. -4, b, 136 Let k be ((-2)/3)/((-2)/(-6)). Let p be (-1)/(16/10 - 9/15). Let q be (-26)/8 - p/4. Sort -4, q, k in descending order. k, q, -4 Let s be 1742/91 - ((-10)/14)/(-5). Sort -1, s, 0.4, -3 in descending order. s, 0.4, -1, -3 Let z be (-11)/(-8) - (-2 - -3). Suppose -7 + 15 = 2*o. Let d = 21 - 230/11. Sort o, d, z in increasing order. d, z, o Let d(h) = h - 8. Suppose -20 = 11*t - 13*t. Let u be d(t). Suppose -3*r + 7 = -14. Put 4, r, u in ascending order. u, 4, r Let l = -3451 + 3448. Suppose -o - 3 = 2. Sort o, -7, l. -7, o, l Let g be 4*12/(-80)*-1. Put -0.1, -0.3, -0.25, g in ascending order. -0.3, -0.25, -0.1, g Let n = 10267/12840 + 1/2568. Suppose 0 = 2*i + 4 + 6. Put 1/2, 1, n, i in descending order. 1, n, 1/2, i Let x = -16 + 6. Let r = x + 11. Put 0, 4, r in descending order. 4, r, 0 Suppose -4*t - 65 = 9*t. Suppose -w = 5*f - f - 5, 0 = -2*w - 4*f + 6. Let z be w*2/(-4)*0. Put t, z, 3 in descending order. 3, z, t Suppose z + 2*c = 0, 3*c - c = -4. Put z, -39, 3 in decreasing order. z, 3, -39 Suppose 2*i + 14 = -3*l - l, -2*l - 22 = -4*i. Let y = 987 + -986. Put y, l, -2/5, -1/3 in descending order. y, -1/3, -2/5, l Let j = 11 - 13. Let y(o) = o**3 - 5*o**2 + 1. Let d be y(2). Put j, d, -5 in decreasing order. j, -5, d Let y be 1 - 4 - (-1)/(5/19). Let m = -0.01 - 0.02. Let q = m + -0.97. Put 0.06, y, q in ascending order. q, 0.06, y Suppose -25*l = -43*l - 306. Sort l, -2, 3, 0. l, -2, 0, 3 Suppose 5*q + 86 = 4*n - 25, 2*q = -2*n + 78. Let i be (-4)/22 - 7/((-770)/(-3720)). Let f = i + n. Sort f, 3, -5 in descending order. 3, f, -5 Let m = 439.2 + -439. Let q(o) = -o - 259. Let a be q(0). Let f = a + 1817/7. Sort -2/9, m, f in descending order. f, m, -2/9 Let p = -240 + 15. Let t = 2021/9 + p. Put t, -5, 0.1 in decreasing order. 0.1, t, -5 Suppose -5*y + a = -14, 0*y = 4*y - 4*a - 24. Suppose z - y*z = -6. Let t = -23 + 19. Put t, z, 0 in decreasing order. z, 0, t Let b be ((-2362)/(-21))/(-2) + 42/(-98). Let s = 57 + b. Sort s, 9, 4 in increasing order. s, 4, 9 Let c = -33.7 - -35. Sort -2, -1/7, c in increasing order. -2, -1/7, c Let d be ((-21)/(-4))/((-2)/(112/21)). Put -5, -2, d in increasing order. d, -5, -2 Let r be (-1599)/325 - 8/100. Sort r, -6, 5, 2. -6, r, 2, 5 Let w = -23 - -29. Suppose -3*v = -v + w. Sort 2, -1/5, 0, v. v, -1/5, 0, 2 Let h be 374/442 + 0 + -1. Sort 2, h, 1/10 in ascending order. h, 1/10, 2 Suppose 36*x - 8 = 38*x. Put -5, x, -14, -1 in ascending order. -14, -5, x, -1 Let j(k) = 2*k - 3. Let m be j(1). Put 3, -2, m, 28 in increasing order. -2, m, 3, 28 Let i = -3 - -7. Suppose 6*x - x - z = 23, i = -2*x - 4*z. Suppose 2*j = 6*j. Sort 2, x, j. j, 2, x Suppose -p + 119 = 6*p. Suppose -p*n = -10*n. Put 2, -3, 1, n in increasing order. -3, n, 1, 2 Let g(k) = k + 8. Let u(d) = 5*d + 14. Let t be u(-4). Let b be g(t). Let l be (2/8)/(b/(-8)). Sort 0, l, 3 in descending order. 3, 0, l Let a be (-64)/224 + (-30)/(-7). Suppose -a*v + 9 = 5*v. Put 2, v, 12 in descending order. 12, 2, v Let w = -45 + 56.1. Let z = w + -11. Put -0.3, -3, z in decreasing order. z, -0.3, -3 Suppose 0 = 3*q - 9 + 24. Sort q, -1, 7, 1 in descending order. 7, 1, -1, q Let x = -86 + 51. Let u be (4/14)/((-15)/x). Let v = -0.0529 - -0.5529. Put u, v, -0.3 in ascending order. -0.3, v, u Let l = 2079 + -2077. Sort -2/21, -18, l, 5/3 in descending order. l, 5/3, -2/21, -18 Let g = -23.503 + 1.503. Put 7, 2/3, g in ascending order. g, 2/3, 7 Let o = -1 + -4. Let z = o + 0. Put -4, 1, z in ascending order. z, -4, 1 Let q = -7 - -4. Let j = -38.14 + 38. Let f = -0.16 + j. Sort q, 1, f in ascending order. q, f, 1 Suppose -2*i - 11 = 3*v, -3*i + 30 = -5*v - 4*i. Sort -3, v, -5, 3 in descending order. 3, -3, -5, v Suppose 7*m - 14 = 28. Suppose -2*b - m = b. Put 1, b, -4, 0 in ascending order. -4, b, 0, 1 Let y be (-12)/(-9)*-3*1. Suppose -h + 60 = 31. Let q = -25 + h. Sort q, y, -13. -13, y, q Let f = -22 - -29. Suppose 0*b - 7 = 4*k - 3*b, -f = -k - b. Put 9, k, 0.1 in decreasing order. 9, k, 0.1 Let i(w) = -w**2 - 6*w - 10. Let x be i(-5). Let u = x - -10. Let t(o) = -o + 12. Let r be t(11). Put -5, r, u in decreasing order. u, r, -5 Let f = 0.1 - 4.6. Let j = 5 + f. Let w be ((-10)/52)/(-5)*-4. Sort w, -0.2, j. -0.2, w, j Let v = 1.27 - -0.05. Let k = -0.12 + v. Let c = k + -0.7. Sort 6, c, -3/5 in decreasing order. 6, c, -3/5 Suppose -22*w + 29*w = 49. Let b(q) = -q**2 + 2*q + 5. Let r be b(4). Put -1, w, r in ascending order. r, -1, w Let v be (-81)/(-72)*((-38)/(-18) - 2). Sort v, -5, 2/49. -5, 2/49, v Suppose -20*d + 17*d - 60 = 0. Let w = 16 + d. Suppose -6*v = -3*v + 6. Sort w, v, -5 in descending order. v, w, -5 Let h = -0.7 + 0.4. Let c = 335 - 333.7. Let x = h + c. Put x, 5, 0 in decreasing order. 5, x, 0 Let v be (-1 + 11/2)/(57/190). Let f(p) = 2*p**2 - 4*p + 1. Let a be f(3). Let q = v - a. Sort -4, q, -2/7 in descending order. q, -2/7, -4 Let j = -517 - -522. Let r be 4/(-8) + (-2)/(-16). Sort j, 4, r in decreasing order. j, 4, r Let h = -145 - -1019/7. Let p = -0.4 - -0.8. Sort h, p, -1 in descending order. h, p, -1 Suppose -11*l = -5*l - 18. Suppose -l*q + 0 = -m + 4, -5*m - 3*q + 20 = 0. Let o(n) = n**2 + 4*n + 3. Let w be o(-3). Sort -3, w, m in ascending order. -3, w, m Suppose -10 = 4*n - 14. Sort 0, -1, n, -7 in ascending order. -7, -1, 0, n Suppose 0 = -23*c + 28*c - 1710. Sort -5, c, 3 in descending order. c, 3, -5 Suppose 5*v = 0, -3*v = -j + 2*v + 1. Let y = 76 - 77. Put -0.4, y, j in descending order. j, -0.4, y Let s be (12/(-16))/(6/4). Suppose r - 11 = 4*x, 5*x = -0*r + 3*r - 19. Suppose r*d - 6*d = -15, -20 = -v - 5*d. Put v, s, -0.4 in descending order. -0.4, s, v Let p = -2520 + 2516. Suppose 20 + 0 = 4*m. Put 4, p, 11, m in increasing order. p, 4, m, 11 Let u be 2/(-7) + 529/(-3220). Let g = -3/10 + u. Put -2, -0.4, g in ascending order. -2, g, -0.4 Let a = 884 + -889. Put -2/15, a, -10 in descending order. -2/15, a, -10 Let p = 4 - 8. Suppose 0 = 5*i - 4*v + 18, i + 0*v = 4*v - 10. Let w be (-160)/315 - i/9. Sort 0.1, w, p in decreasing order. 0.1, w, p Let d = 134 - 123. Put 2/7, -2/3, d in decreasing order. d, 2/7, -2/3 Let v = 3 - 3. Suppose v = -3*i - 2*i + 25. Let p be (-2)/((-8)/18*81/(-90)). Sort i, p, 4 in descending order. i, 4, p Suppose -2*k = -3*z + 38, 4*z + 40 = 2*k - 5*k. Let t = k + 9. Sort -3, -5, t in decreasing order. -3, -5, t Let g = -164 - -119. Let t be (-4)/6 - -6*10/g. Sort t, 1, -5, -55. -55, -5, t, 1 Let j = 0 + 4. Suppose -5*z - j*h + 13 = 0, 4*z + 3*h + h = 12. Let t be ((-4)/(-4) - 1) + 2. Sort z, -1, t. -1, z, t Let w(m) = m**3 + 4*m**2 - m - 6. Let d be w(-3). Suppose -3 = r - d. Suppose -5*a + 3*c = -9, 0*c - c = 3. Sort -5, a, r in ascending
{ "pile_set_name": "DM Mathematics" }
at is prob of picking 2 b and 1 y when three letters picked without replacement from {e: 1, y: 3, h: 1, b: 3, m: 2}? 3/40 What is prob of picking 2 j and 1 d when three letters picked without replacement from jqjqdqjdqdjjfddqdd? 35/408 Four letters picked without replacement from uuluuuuuuulluuuuluuu. What is prob of picking 3 u and 1 l? 448/969 Two letters picked without replacement from wwwwwwwww. What is prob of picking 2 w? 1 Two letters picked without replacement from {u: 3, g: 1, z: 5, b: 1, c: 8, t: 2}. What is prob of picking 1 b and 1 c? 4/95 Calculate prob of picking 1 l and 2 k when three letters picked without replacement from plnsnpslsnspkkspsnku. 1/190 Two letters picked without replacement from vvvvv. Give prob of picking 2 v. 1 Two letters picked without replacement from {i: 1, n: 1, s: 2, d: 1, z: 1, b: 1}. Give prob of picking 1 d and 1 n. 1/21 Calculate prob of picking 4 z when four letters picked without replacement from {z: 5}. 1 Calculate prob of picking 1 d, 1 u, 1 g, and 1 r when four letters picked without replacement from xttxugdrd. 1/63 Calculate prob of picking 1 j and 3 n when four letters picked without replacement from jnjjnjnnjnjnjjnnnnjj. 80/323 What is prob of picking 2 l when two letters picked without replacement from {w: 2, i: 9, l: 8}? 28/171 What is prob of picking 2 w when two letters picked without replacement from {k: 2, p: 1, h: 1, w: 12, x: 1}? 33/68 Three letters picked without replacement from {e: 1, o: 4, i: 1, v: 2}. What is prob of picking 1 o, 1 e, and 1 v? 1/7 Three letters picked without replacement from vcnjgggg. What is prob of picking 3 g? 1/14 Calculate prob of picking 2 l, 1 r, and 1 b when four letters picked without replacement from {l: 4, b: 4, w: 1, r: 1}. 4/35 Calculate prob of picking 2 l and 1 p when three letters picked without replacement from ppll. 1/2 What is prob of picking 1 l, 2 y, and 1 p when four letters picked without replacement from yylyyyopioooyopl? 3/91 What is prob of picking 1 j and 1 q when two letters picked without replacement from ccccjcyjcyqcyjqccc? 2/51 Two letters picked without replacement from {n: 2, z: 1, g: 3, t: 1, f: 2, i: 8}. What is prob of picking 1 t and 1 g? 3/136 Calculate prob of picking 1 a, 2 l, and 1 t when four letters picked without replacement from aqxatxttlatalt. 20/1001 Two letters picked without replacement from {u: 9, n: 11}. What is prob of picking 2 u? 18/95 Calculate prob of picking 3 g and 1 v when four letters picked without replacement from vvggvvgvggvv. 14/99 Two letters picked without replacement from {c: 3, a: 2}. Give prob of picking 1 a and 1 c. 3/5 Calculate prob of picking 2 e and 2 b when four letters picked without replacement from etbejjeejbteebbtb. 15/238 Calculate prob of picking 1 k and 1 a when two letters picked without replacement from {l: 3, a: 1, k: 1}. 1/10 Three letters picked without replacement from tqaqqoqtqqtattqq. Give prob of picking 1 o, 1 a, and 1 q. 1/35 What is prob of picking 1 j and 1 b when two letters picked without replacement from {v: 2, b: 1, p: 1, w: 2, u: 1, j: 1}? 1/28 Two letters picked without replacement from {z: 1, t: 1, x: 3, j: 1, p: 1}. What is prob of picking 1 p and 1 z? 1/21 What is prob of picking 1 k, 1 d, and 1 a when three letters picked without replacement from kdaduuukundq? 3/110 Four letters picked without replacement from isssssissssi. Give prob of picking 2 i and 2 s. 12/55 Calculate prob of picking 1 m, 1 u, and 1 j when three letters picked without replacement from {l: 2, s: 1, j: 1, u: 1, m: 1, f: 1}. 1/35 Two letters picked without replacement from fyfyffffffyfff. Give prob of picking 2 f. 55/91 Two letters picked without replacement from {a: 2, m: 2, c: 10}. What is prob of picking 2 a? 1/91 Three letters picked without replacement from cnnnpcnpccncp. Give prob of picking 3 c. 5/143 Two letters picked without replacement from {b: 8, l: 9, f: 1, i: 2}. What is prob of picking 2 b? 14/95 Calculate prob of picking 1 i, 1 l, and 1 o when three letters picked without replacement from ueeiulllulouloeu. 1/56 What is prob of picking 1 m and 1 p when two letters picked without replacement from {u: 7, m: 1, p: 1, n: 5, q: 2}? 1/120 What is prob of picking 2 l when two letters picked without replacement from {f: 1, l: 2, p: 4}? 1/21 Four letters picked without replacement from {x: 3, h: 1, q: 7, c: 1, l: 2}. What is prob of picking 3 q and 1 x? 15/143 Three letters picked without replacement from mzfmz. What is prob of picking 1 f and 2 z? 1/10 Calculate prob of picking 1 b and 1 u when two letters picked without replacement from baaaebebueeee. 1/26 Calculate prob of picking 2 h when two letters picked without replacement from hwhwdddww. 1/36 Two letters picked without replacement from hhnnbbnbhhhnn. Give prob of picking 1 h and 1 n. 25/78 Calculate prob of picking 2 z and 2 h when four letters picked without replacement from {z: 6, k: 3, e: 1, h: 4, s: 2}. 9/182 What is prob of picking 1 e and 1 l when two letters picked without replacement from ell? 2/3 What is prob of picking 1 w and 1 t when two letters picked without replacement from {t: 1, r: 1, w: 1, y: 1, k: 1}? 1/10 What is prob of picking 1 q and 1 n when two letters picked without replacement from qqnqqyqqqqqayq? 10/91 Calculate prob of picking 1 v, 1 d, and 1 b when three letters picked without replacement from booddobvdbddppbbd. 3/68 Four letters picked without replacement from zggzgg. What is prob of picking 4 g? 1/15 Calculate prob of picking 1 e, 1 l, and 1 d when three letters picked without replacement from pdfddfldffdepeplfpp. 20/969 Calculate prob of picking 2 o and 2 k when four letters picked without replacement from {k: 7, o: 2, m: 11}. 7/1615 Four letters picked without replacement from vokkovvkkvk. What is prob of picking 1 v and 3 k? 4/33 Calculate prob of picking 3 k when three letters picked without replacement from {j: 1, s: 9, n: 1, k: 3}. 1/364 Calculate prob of picking 1 l and 1 j when two letters picked without replacement from tettjltte. 1/36 Three letters picked without replacement from {e: 3, m: 2, i: 1, h: 5, r: 1, f: 1}. What is prob of picking 1 i and 2 m? 1/286 Four letters picked without replacement from {h: 5, s: 3, p: 6, m: 3, z: 1}. What is prob of picking 1 z, 1 m, 1 s, and 1 h? 1/68 Two letters picked without replacement from {j: 5, d: 3, e: 3, r: 4, x: 3}. What is prob of picking 2 r? 2/51 Two letters picked without replacement from {m: 1, u: 1, n: 1, s: 1, y: 2, x: 1}. What is prob of picking 1 u and 1 n? 1/21 Calculate prob of picking 1 k and 1 e when two letters picked without replacement from eekk. 2/3 Calculate prob of picking 1 b and 2 w when three letters picked without replacement from {d: 3, w: 4, b: 2, r: 9}. 1/68 Three letters picked without replacement from eejeejeeejeeeeeejej. What is prob of picking 3 e? 364/969 Four letters picked without replacement from {s: 5, d: 10, l: 1, r: 1}. Give prob of picking 4 d. 3/34 What is prob of picking 1 y, 1 g, and 1 m when three letters picked without replacement from gssxmty? 1/35 Two letters picked without replacement from pqpvtprrtvjp. What is prob of picking 2 t? 1/66 Two letters picked without replacement from vbmvynmymnkn. Give prob of picking 1 k and 1 m. 1/22 Three letters picked without replacement from {i: 11, t: 1, w: 1}. What is prob of picking 1 w, 1 t, and 1 i? 1/26 Calculate prob of picking 1 w, 1 c, and 2 a when four letters picked without replacement from {c: 13, w: 2, a: 3}. 13/510 Four letters picked without replacement from nenerrsesqrqe. Give prob of picking 2 q and 2 e. 6/715 Three letters picked without replacement from cccjccccwwccwyjccg. What is prob of picking 2 j and 1 g? 1/816 Two letters picked without replacement from ffwwwfww. What is prob of picking 2 f? 3/28 Four letters picked without replacement from {p: 7, o: 3}. Give prob of picking 3 o and 1 p. 1/30 What is prob of picking 1 b and 1 e when two letters picked without replacement from {b: 2, a: 6, e: 7}? 2/15 What is prob of picking 2 w when two letters picked without replacement from {r: 7, x: 11, w: 2}? 1/190 Two letters picked without replacement from bpiiiipbbbpi. Give prob of picking 1 i and 1 p. 5/22 Calculate prob of picking 3 h when
{ "pile_set_name": "DM Mathematics" }
0 What is the common denominator of -53/10216 and 17/60? 153240 Find the common denominator of -89/188 and 67/1988. 93436 Find the common denominator of 37/354 and -145/4338. 255942 Calculate the smallest common multiple of 221 and 195381. 2539953 What is the smallest common multiple of 45 and 474? 7110 What is the common denominator of 37/55968 and 69/44? 55968 Find the common denominator of 56/353751 and -16/15. 1768755 Calculate the least common multiple of 1874 and 2707. 5072918 Calculate the common denominator of -107/5688 and -91/552. 130824 Calculate the least common multiple of 29868 and 24. 59736 Find the common denominator of -11/96 and -23/941. 90336 What is the smallest common multiple of 103869 and 115410? 1038690 Calculate the least common multiple of 672 and 1792. 5376 Calculate the lowest common multiple of 8760 and 15768. 78840 Calculate the common denominator of -75/202 and 40/1053. 212706 Calculate the lowest common multiple of 279504 and 378. 1956528 Calculate the common denominator of 31/179631 and -35/159672. 1437048 Calculate the smallest common multiple of 6 and 80706. 80706 What is the least common multiple of 13 and 1365? 1365 What is the common denominator of -30/185339 and -26/57519? 1668051 Calculate the least common multiple of 104 and 52988. 105976 What is the least common multiple of 1551 and 2? 3102 Calculate the least common multiple of 100 and 15410. 154100 Calculate the lowest common multiple of 1373568 and 3528. 4120704 What is the least common multiple of 5600 and 70? 5600 Calculate the lowest common multiple of 1744 and 10028. 40112 Calculate the lowest common multiple of 10395 and 92400. 831600 Calculate the lowest common multiple of 496 and 800. 24800 Calculate the smallest common multiple of 3 and 24081. 24081 Calculate the least common multiple of 607425 and 72891. 1822275 Find the common denominator of -167/4524 and -151/34104. 443352 Calculate the least common multiple of 16525 and 36355. 181775 What is the lowest common multiple of 3 and 80169? 80169 What is the least common multiple of 60 and 6642? 66420 Calculate the lowest common multiple of 89988 and 348. 2609652 Calculate the lowest common multiple of 51630 and 16. 413040 Calculate the least common multiple of 18 and 27108. 27108 Calculate the lowest common multiple of 117355 and 3920. 1877680 Find the common denominator of -155/78 and 31/24388. 73164 What is the smallest common multiple of 432 and 90045? 1440720 What is the least common multiple of 222 and 5210? 578310 Find the common denominator of 53/21609 and -17/1395. 3349395 What is the common denominator of 37/6160 and -193/36960? 36960 What is the common denominator of 47/14259 and 41/69258? 484806 Find the common denominator of 52/12901 and 76/291. 38703 Find the common denominator of -157/1188 and 41/20208. 2000592 Calculate the least common multiple of 11180 and 1235. 212420 Calculate the smallest common multiple of 10 and 139370. 139370 What is the common denominator of -86/29325 and 91/1125? 439875 Calculate the lowest common multiple of 35 and 11858. 59290 Calculate the least common multiple of 27568 and 261896. 523792 Find the common denominator of 43/18 and -22/9309. 55854 What is the least common multiple of 5408 and 480? 81120 Calculate the common denominator of -17/10362 and -41/51810. 51810 Calculate the common denominator of -7/4146 and 51/8983. 53898 What is the common denominator of -22/33735 and -67/135? 303615 What is the common denominator of -67/23445 and -67/261? 679905 Find the common denominator of 103/447860 and 121/447860. 447860 Calculate the smallest common multiple of 138573 and 54. 831438 What is the common denominator of 95/108096 and 13/192? 108096 What is the least common multiple of 106358 and 154? 1169938 What is the common denominator of 25/3827 and -127/4128? 367392 What is the least common multiple of 7084 and 154? 7084 Calculate the smallest common multiple of 654754 and 2658. 1964262 Calculate the common denominator of -127/1680 and 53/240. 1680 Find the common denominator of -95/46 and 13/91908. 91908 Find the common denominator of 87/218228 and 13/1602. 1964052 What is the lowest common multiple of 1709 and 10254? 10254 Calculate the smallest common multiple of 272998 and 3. 818994 What is the common denominator of 80/21 and 69/1022? 3066 Calculate the least common multiple of 47976 and 15992. 47976 What is the common denominator of 119/2970 and 191/100320? 902880 Calculate the common denominator of 35/216 and 149/84114. 1009368 Find the common denominator of 31/2498 and 39/365. 911770 What is the common denominator of -77/16 and 87/25318? 202544 What is the common denominator of -67/2850 and -31/26600? 79800 Calculate the smallest common multiple of 38450 and 23. 884350 Find the common denominator of 29/235212 and -25/289. 3998604 Calculate the least common multiple of 65427 and 10. 654270 Calculate the common denominator of -139/4752 and 37/3120. 308880 What is the common denominator of -35/12 and 73/25922? 155532 Calculate the common denominator of -97/2504 and -69/6260. 12520 Calculate the common denominator of 99/210652 and -85/4. 210652 Find the common denominator of 127/204 and 47/12699. 50796 What is the common denominator of 67/860400 and -77/900? 860400 Find the common denominator of 4/153209 and -103/3054. 919254 Calculate the least common multiple of 20502 and 20502. 20502 What is the common denominator of 73/3680 and -13/690? 11040 Calculate the common denominator of -31/18759 and -58/18093. 3057717 What is the common denominator of 64/266823 and 179/889410? 2668230 Calculate the lowest common multiple of 252 and 400092. 1200276 What is the least common multiple of 102 and 4706? 240006 Calculate the least common multiple of 7 and 15526. 15526 Calculate the least common multiple of 2 and 2877. 5754 Calculate the common denominator of 17/240 and -97/696. 6960 What is the lowest common multiple of 5220 and 180? 5220 What is the least common multiple of 100 and 129275? 517100 What is the lowest common multiple of 126 and 120? 2520 What is the common denominator of -39/992 and -101/98? 48608 Calculate the common denominator of -109/416 and -97/159094. 2545504 What is the least common multiple of 33660 and 180? 33660 What is the smallest common multiple of 135 and 31257? 468855 Calculate the smallest common multiple of 6 and 107766. 107766 What is the least common multiple of 57490 and 70? 402430 Find the common denominator of -81/130 and 49/246142. 1230710 Find the common denominator of 73/63690 and -83/11580. 127380 What is the smallest common multiple of 2160 and 560? 15120 Calculate the least common multiple of 6 and 10758. 10758 Calculate the smallest common multiple of 2304 and 324. 20736 What is the common denominator of 59/5136 and -61/24? 5136 Calculate the smallest common multiple of 96 and 40000. 120000 What is the common denominator of 11/2570 and 173/2880? 740160 What is the common denominator of 51/14 and -71/511376? 3579632 Calculate the lowest common multiple of 6230 and 154. 68530 What is the lowest common multiple of 207 and 26058? 1798002 Calculate the common denominator of 13/27 and -151/1335678. 12021102 What is the common denominator of -13/400 and 25/84? 8400 Calculate the common denominator of 199/1260 and -50/147. 8820 Find the common denominator of 157/8556 and 103/57040. 171120 Find the common denominator of -31/187 and 44/5457. 60027 What is the common denominator of 27/595 and 93/70? 1190 Calculate the lowest common multiple of 1860 and 1240. 3720 Calculate the common denominator of 119/1014 and -83/225446. 676338 Calculate the smallest common multiple of 10440 and 1830. 636840 Find the common denominator of 23/2358 and 5/56199. 337194 Calculate the common denominator of 79/37352 and -103/232. 37352 Find the common denominator of -67/15858 and -59/72. 63432 Find the common denominator of 76/15 and 115/3672. 18360 Calculate the common denominator of -95/66 and -63/11572. 34716 What is the common denominator of -19/249 and -67/145167? 145167 What is the common denominator of 7/84192 and 41/1440? 1262880 What is the smallest common multiple of 6292 and 564707? 2258828 What is the common denominator of 77/8122
{ "pile_set_name": "DM Mathematics" }
s - c + m = 0 for s. -5 Suppose 852*c - 847*c = 2*r - 5, 16 = 4*r - 4*c. Let v be (2/4)/((-2)/(-8)). Solve 0 = v*d - i + r, -i - 17 = 2*d - 2 for d. -5 Let r(z) = -z**2 - 22*z + 3. Let j be (-2 + 46)*2/(-4). Let a be r(j). Solve -a*g = 4*c - 3, 0 = 2*c - 5*c + 2*g - 2 for c. 0 Let g be (-4)/6*10/(60/18). Let m be g/((-2)/6*15/20). Let o be 2 - -4*(-4)/m. Solve -4*p = -4*c, -3*p + o*p = 5*c + 16 for p. -2 Let o(t) = -35*t**2 - 1296*t - 32. Let j be o(-37). Solve 0*u + 2*u + 9 = -j*c, 0 = -4*c - u - 6 for c. -1 Let k(d) = 2*d - 9*d**2 - 4*d**2 + 9*d**2. Let x be k(2). Let l = x + 16. Solve p + 3 = -4*h + h, -4 = l*h - 5*p for h. -1 Suppose -13749 - 58667 = 73*y. Let v = -989 - y. Solve -2*d + 5*d + 3 = -4*q, -4 = v*q + 4*d for q. 0 Let l be (38 - -1 - 60)/(1*-1). Solve -5*g + 19 = -6, 2*k + l = 5*g for k. 2 Let u(j) = j**3 - 15*j**2 - 16*j + 12. Let r be u(15). Let w = r - -233. Solve -z + 4*z = w*x + 10, 2*z + 5*x = -35 for z. -5 Let p = 12107 + -12105. Solve -p*b - 4*r + 16 = 0, b = -r - 3*r + 12 for b. 4 Let w be (-4)/2*((-26)/4)/1. Suppose 0 = w*y - 10*y + 81. Let v = y - -27. Solve 3*j + 14 = h - 2, v = 3*h - 5*j - 32 for h. 4 Let o(n) = n**3 + 38*n**2 - 40*n - 37. Let j be o(-39). Suppose j*d - 5*b - 11 = -5, -4*b = -d + 3. Solve 0 = d*h - f, 2*f + f = -2*h for h. 0 Let x(t) = -3*t**2 + 13*t - 10. Let s be x(0). Let c = -4 - s. Solve -5*i = 3*p + 15, -p = -2*i + 3*p - c for i. -3 Let x = -97 + 109. Let w(n) = n**2 + 11*n + 33. Let l be w(-7). Solve 3*u = 5*y + 16, -u + x = -4*y - l for y. -5 Suppose -5*d + 0*d = 0. Suppose d*s + 3*b + 33 = -s, -29 = s + b. Let p = s + 27. Solve -3*o - 14 = -p*x + 2*x, 3*x + 14 = -o for o. -2 Let c = 4619 - 4594. Solve -5*f + 199*i = 198*i - 20, 0 = -4*f - i + c for f. 5 Let g(x) = x**2 + 4*x + 3. Let c be g(-5). Suppose 0 = -12*m + c + 52. Solve 0 = -2*u - 2*v - 10, 2*v + 3 + 10 = -m*u for u. -1 Let h = -16930 - -16934. Solve t - 21 = -4*s, -16*s = -h*t - 12*s + 4 for t. 5 Let d = 9 - 5. Let z be 8/((-3)/(-3)) - d. Let f = -40 - -44. Solve -4*u + f = -5*u, 0 = w + z*u + 16 for w. 0 Let s(c) = -2*c**2 - 36*c - 112. Let d be s(-13). Solve -u = 4*k - 11, d*u + k - 5 = 17*u for u. 3 Suppose -b - 6 = 5*d - 10, 4 = b + d. Solve -z - 9*k + 13*k = -8, 0 = -b*z - 4*k - 8 for z. 0 Let m(l) = -l**2 - 199*l + 2539. Let c be m(12). Solve 0 = 2*d + 6, 2*w + 3 + c = -2*d for w. -2 Let b be ((-1)/2)/((-1)/14). Let f be (42/(-12))/7*296. Let n = f + 153. Solve -4*j + b = n*a, -5*a + j - 3*j = -11 for a. 3 Suppose 0*b = 3*v + b + 20, 2*v + 15 = b. Let g be 185/v - 28/49. Let k = g - -29. Solve k*i - 15 = 5*t, 4*t + 25 = -t for i. -5 Let o = 336 - 220. Let a = o - 74. Let d be 63/a*8/6. Solve 2*g - 2*f = d, 4*g + f = 4*f + 3 for g. 0 Suppose 3*y = 3*w - 0*y + 12, -y = -3. Let d be (1 + 0 - 0)*(w - 1). Let l be d/(-1)*(-15 - -17). Solve 3*r - 22 = -5*a + l, 2*r = 4 for a. 4 Let y be 424/(-4876) + 370/23. Solve -2*d - 2*d = 3*z + 31, -4*d = y for z. -5 Let t = 261 + -210. Suppose -47 = -14*o + t. Solve 3*i + 2*m - 10 = o*i, 3 = -3*m for i. -3 Suppose 3*d + 2*o = 217, -81 - 227 = -4*d + 2*o. Let b = d + -42. Let r = b - 13. Solve 2*n = 4*t + n - 4, 4*t + r = -5*n for t. 0 Suppose -4*c = 4*x - 2*c - 4, 8 = -4*c. Suppose 0 = 5*t - 33 - x. Solve 23 = 2*d - 5*u, 2*d + t = -3*u - 10 for d. -1 Suppose 160 = 6*s + 22. Suppose -s - 7 = -15*g. Solve -3*d - 4 = 5*i - 41, 0 = -2*d + 2*i - g for d. 4 Let h = -2 - -28. Let l = -41 + h. Let r(q) = q + 20. Let b be r(l). Solve 8*z = -b*s + 3*z + 25, -3*s + 3*z = 3 for s. 2 Let q be (-9)/(-12) - (-23)/(-4). Let i be (-424)/(-20) - (-1)/q. Solve 0 = -4*y - 5*m - i, m = 3*y - 7 - 1 for y. 1 Suppose g - 3*r = 33, 5*g + 5*r + 58 = 243. Let l be (2/(-4))/((g/6)/(-24)). Solve -6 = l*y + 2*p, -p + 3*p + 20 = 5*y for y. 2 Let c be (-11)/((-55)/570)*7/21. Solve 4*d = 5*r - 32 + c, 2*r - 8 = -d for r. 2 Let b(f) = f**3 + 18*f**2 - 17*f + 42. Let w be b(-19). Suppose 20 = w*q - 0*q. Solve 3*x + 3*z = 5*z + 11, 5*x - q*z - 20 = 0 for x. 3 Suppose -26*n = -23*n - 2115. Let c be (-8)/(-30)*n/94. Solve 4*f = -o + 20, -c*f + 4*o = -f - 5 for f. 5 Let i(z) = -332*z + 666. Let w be i(2). Solve 2 = -2*r - w*s, -3*r - s - 583 = -586 for r. 2 Let u be 8*(1 + ((-205)/(-40) - 5)). Suppose h - u*h = 3*h. Solve x + k = -2, 0 = -k - h*k - 5 for x. 3 Let j be -1*(-3)/(-15) + (-2158)/(-415). Solve 0 = f - x - 10, -16 - 4 = f + j*x for f. 5 Let o = -1713 - -1718. Suppose 0*v - 3*v + 2*b + 16 = 0, -9 = 3*v + 3*b. Solve -5*g - o*h = 45, 0 = -v*h - 0*h - 8 for g. -5 Let b be 266 - 278 - (0 - 15). Solve -5*j = -3*x - 14, 30*j - 29*j - b*x = 10 for j. 1 Let x = -13459 + 13459. Solve d + 57 = -5*v + 64, x = -2*v + d for v. 1 Let y = 8044 + -8036. Solve 3*j = -12, 4*j = -4*u - y - 0 for u. 2 Let p = 89 - -99. Suppose -5*g - p = 77. Let q = 54 + g. Solve 3*v = 3*i - 3, -4*i + i - q = v for v. -1 Let v = 7810 - 7806. Solve c = 2*h - v, h - 3*c - 11 = -7*c for h. 3 Suppose 89*h + 26520 = 59*h. Let u = h - -884. Let d(l) = -3*l + 3. Let m be d(-3). Solve 2*f - 3*f = k - 3, -3*k - 4*f + m = u for k. 0 Let t = 158 + -165. Let g be 8 - 1 - (0 - 14/t). Solve 0 = 2*z + 3*a - 17, -4*z + g*a = -2*z + 23 for z. 1 Let o(r) = 2*r - 10. Let j be o(5). Let p be (8/2 - 6) + -1. Let z = 3 - p. Solve -4*i + w - z = j, -w - 4 = -3*w for i. -1 Suppose -23 = -2*i - 13. Let t be 2/(0 + 3 - 5). Let q(k) = 2*k + 2. Let z be q(t). Solve -i*w - 20 = z, -2*f - 4*w - w = 18 for f. 1 Let m be ((-39)/(-156))/((5 - 9)/(-80)). Solve 13 = -4*o - 5*h, o + m*h - 5 = 6*o for o. -2 Suppose 3*g + j = 0, -192*j - 22 = g - 188*j. Solve -10 = -g*l, 3*l - 19 = -2*i - 2*l for i. -3 Let y be (-15)/(-9) - (-4 + (-4)/(-6)). Solve 7*j - 5*j + 5*c = 4, -3*j + y*c = 19 for j. -3 Let v(w) = 16*w. Let i be v(1). Suppose 63 = -10*c + 17*c. Suppose 2*x + 4*a - 4 = 0, 79 = 2*x - 2*a + 69. Solve -x*b + 5*b - c = -q, b = 4*q - i for b. 4 Suppose -82 = 4*u - y - 93, 1 = y. Solve 4*q = -12, u*v - 4*q = 404 - 407 for v. -5 Let l = -8216 + 8218. Solve -29 = -c - 4*c + l*f, 0 = 2*c + f - 8 for c. 5 Suppose -60 = -13*o - 2*o + 9*o. Solve -3*b = o*z - 15*z + 17, 4*b = -2*z - 14 for b. -4 Suppose 1183*j - 106 = 1130*j. Solve j*y - 3*v = -0*v + 6, 2*v = 0 for y. 3 Suppose 0 = 4*w + 3*y - 20, 48*y - 20 = 43*y. Suppose 2 = -w*k, 5*k = -5*d - 2 - 3. Solve d = -5*c - 5*r - 35, 3*c - 4*r = 12 + 2 for c. -2 Suppose u + 5*q + 11 - 30 = 0, 31 = 4*u + 5*q. Let n be ((-540)/162)/(5/(-6)). Solve 2*g = u*o + n*g - 22, 5*o - 21 = 4*g for o. 5 Let g be (2/(-10))/(18/(-300))*18/5. Solve -11*r = 3*q - 10*r + 12, 3*q = r - g for q. -4 Suppose 0 = 14*n + 1378 - 34. Let k = -93 - n. Solve -5*f = -d - d - 20, -k*f = -d - 12 for d. 0 Suppose 13*q + 96 = 19*q. Suppose q*y - 168 = -12*y. Solve d + 2 = -4*h, y*d + 5*h = 4*d - 1 for d. 2 Let h(s) = -4*s - 21. Let u be h(-5). Let b be ((u - -2) + -1)*3/(-6). Suppose b*c - 2 = -c. Solve 5*w = -c*k - 4 - 11, 3*w + 5*k = -28 for w. -1 Suppose 0 = -7*u - u. Suppose u = 22*y - 28*y + 24. Solve 3*g = -3*k - 12, g + 3*k - y = -18 for g. 1 Let v be ((-549)/244)/((-2)/(-8)*-1). Suppose 0 = 5*f - 10*w + 9*w - 3, -4*f - v = 3*w. Solve u + 3*t = -u + 17, f = 4*u - t + 1 for u. 1 Suppose 0 = -3*b - 12799 + 12805. Suppose 0 = -2*m + 5*k + 2, 10*k = m + 9*k - 7. Solve -b*f = -2*l + 2, -f + 4*l - 8*l - m = 0 for f. -3 Suppose 0 = -5*b - 33*x + 35*x + 17, -4 = 4*x. Solve 5 = b*f + 2*t, -f + 0*t + t = 0 for f. 1 Let z be 0 - -6 - (8 + (-16 - (5 + -11))). Solve 4*h = 5*h + y, 4*y + 8 = -z*h for h. -2 Let i = -8 + 11. Let b be (-44)/(15 - 4) + (-1 - -43). Let h be b*((-28)/8 + 1 - -3). Solve 4 = -s + x, i*s + 2*x + 2*x = -h for s. -5 Let v be ((-1)/2)/((-5)/(-2))*(-8 - -8). Solve 5*g - 24*q + 19*q - 15 = 0, -3*g - q + 9 = v for g. 3 Let q = -12 - -10. Let m(j) = 2*j**2 + 8*j + 11. Let v be m(q). Solve 6*s + v*a = s - 6, 5*a = 15 for s. -3 Suppose 23*h - 5*h = -53*h + 355. Solve -h*m - u = 0, -5*m = -28*u + 23*u for m. 0 Let j = 9154 - 9138. Solve -3 = -d - m, 4*d + 5*m = j - 4 for d. 3 Let u be ((-1326)/136)/((-2)/8). Let f = 43 - u. Solve f*c - 2*w - 3*w = 5, c - 20 = -5*w for c. 5 Suppose -3*o + 2*y = -134, 5*y - 6 = -o - 1. Solve 5*q + 4*a = -o, 7*q - 3*q + 6 = 2*a for q. -4 Let v be ((-2)/(-2))/(1/12). Let t = -1 + 6. Let n(u) = -2*u**3 - 52*u**2 - 51*u - 21. Let g be n(-25). Sol
{ "pile_set_name": "DM Mathematics" }
hen four letters picked without replacement from {m: 9, a: 10}. 45/646 Calculate prob of sequence hh when two letters picked without replacement from wdwujhuwhyjh. 1/22 Three letters picked without replacement from {g: 1, y: 1, k: 4, d: 1, q: 2}. What is prob of sequence gdq? 1/252 Three letters picked without replacement from {q: 5, u: 2, l: 1, c: 3, s: 1}. Give prob of sequence uqu. 1/132 Three letters picked without replacement from {d: 13, z: 1, e: 3}. Give prob of sequence edd. 39/340 Four letters picked without replacement from zsszuusu. What is prob of sequence susu? 3/140 Three letters picked without replacement from {e: 4, w: 3, g: 1}. Give prob of sequence wge. 1/28 Three letters picked without replacement from jryks. Give prob of sequence ryj. 1/60 What is prob of sequence ssns when four letters picked without replacement from {s: 3, n: 2}? 1/10 Two letters picked without replacement from cppcppptuppzpczppcdc. What is prob of sequence zp? 1/19 What is prob of sequence azjz when four letters picked without replacement from jatzjztd? 1/420 Four letters picked without replacement from {j: 2, e: 4, o: 1, h: 2}. What is prob of sequence jhoe? 1/189 Calculate prob of sequence hrer when four letters picked without replacement from {r: 6, h: 7, d: 6, e: 1}. 7/3876 What is prob of sequence gte when three letters picked without replacement from {e: 1, g: 1, t: 1, p: 1, w: 1, z: 2}? 1/210 Calculate prob of sequence yygo when four letters picked without replacement from {o: 3, y: 5, g: 1}. 5/252 Calculate prob of sequence nndj when four letters picked without replacement from {j: 4, u: 2, d: 1, n: 3}. 1/210 What is prob of sequence ij when two letters picked without replacement from {a: 1, l: 1, d: 1, i: 2, f: 2, j: 1}? 1/28 What is prob of sequence li when two letters picked without replacement from {i: 6, s: 3, t: 4, l: 2, e: 1}? 1/20 What is prob of sequence hh when two letters picked without replacement from hdhvhhhvvhddvdh? 1/5 What is prob of sequence uou when three letters picked without replacement from {r: 2, o: 1, u: 2}? 1/30 What is prob of sequence wvwv when four letters picked without replacement from {v: 7, w: 3}? 1/20 Three letters picked without replacement from xxpxzzkjzzzp. Give prob of sequence kjp. 1/660 Calculate prob of sequence kpw when three letters picked without replacement from spwwgpsppyppkppppps. 11/2907 Two letters picked without replacement from ynyyonyaayayaonnyr. Give prob of sequence oy. 7/153 Calculate prob of sequence jjo when three letters picked without replacement from oqpoyqojjoyy. 1/165 Three letters picked without replacement from {t: 3, j: 2, b: 4, s: 1, l: 4, x: 1}. Give prob of sequence btl. 8/455 Two letters picked without replacement from {q: 2, f: 1, b: 1}. What is prob of sequence qb? 1/6 What is prob of sequence mda when three letters picked without replacement from dmmmdammamm? 14/495 Three letters picked without replacement from tpppttpptttp. What is prob of sequence tpp? 3/22 Two letters picked without replacement from pfp. Give prob of sequence pp. 1/3 Four letters picked without replacement from wuwuuuxsxxuuxursuuu. What is prob of sequence xwxs? 1/1938 Calculate prob of sequence slss when four letters picked without replacement from sssllpsq. 1/35 Four letters picked without replacement from {s: 17, j: 2}. Give prob of sequence ssss. 35/57 What is prob of sequence nln when three letters picked without replacement from {l: 2, s: 9, n: 2}? 1/429 Calculate prob of sequence ssss when four letters picked without replacement from {s: 2, e: 6}. 0 Three letters picked without replacement from atgggatog. Give prob of sequence ggt. 1/21 What is prob of sequence gf when two letters picked without replacement from {z: 4, f: 1, g: 2, l: 7, q: 1, x: 4}? 1/171 Two letters picked without replacement from {s: 5, e: 9}. What is prob of sequence ss? 10/91 What is prob of sequence btt when three letters picked without replacement from ovwtbot? 1/105 Calculate prob of sequence avx when three letters picked without replacement from {a: 1, b: 1, o: 2, i: 1, x: 1, v: 1}. 1/210 Calculate prob of sequence sq when two letters picked without replacement from {s: 11, q: 1}. 1/12 What is prob of sequence xv when two letters picked without replacement from nxdennv? 1/42 Calculate prob of sequence xs when two letters picked without replacement from {x: 4, s: 2, z: 8, m: 1}. 4/105 What is prob of sequence fyp when three letters picked without replacement from {e: 1, f: 2, y: 4, p: 3}? 1/30 Calculate prob of sequence wxm when three letters picked without replacement from {w: 1, c: 6, x: 1, m: 1}. 1/504 Four letters picked without replacement from yyttnofantya. What is prob of sequence noat? 1/990 Calculate prob of sequence qj when two letters picked without replacement from upqpujuujfpa. 1/66 Four letters picked without replacement from eeegengggvnvnewn. What is prob of sequence nggn? 3/910 Two letters picked without replacement from {s: 1, u: 1, v: 3, c: 4, d: 2, o: 1}. Give prob of sequence us. 1/132 Two letters picked without replacement from wkwkwwwwyhwwkhwhhkkw. Give prob of sequence hk. 1/19 Two letters picked without replacement from nngnkncfgxffkc. Give prob of sequence cg. 2/91 Three letters picked without replacement from stkjssekjesjeektsese. Give prob of sequence tej. 1/190 What is prob of sequence grg when three letters picked without replacement from {r: 1, j: 1, l: 4, u: 2, g: 9}? 3/170 What is prob of sequence ik when two letters picked without replacement from mqmqziikqkrz? 1/33 Three letters picked without replacement from {s: 2, j: 4, a: 10}. What is prob of sequence jss? 1/420 Calculate prob of sequence fb when two letters picked without replacement from {m: 4, q: 2, b: 1, f: 4, k: 3, t: 3}. 1/68 Four letters picked without replacement from nngnsncnbhsncnnbbcn. Give prob of sequence cssh. 1/15504 Three letters picked without replacement from {x: 3, z: 2, k: 1, m: 4}. Give prob of sequence kzz. 1/360 Three letters picked without replacement from {m: 1, v: 4, l: 1, a: 2, p: 2}. What is prob of sequence mla? 1/360 Two letters picked without replacement from {d: 4, s: 1, p: 2, z: 2, t: 2, c: 4}. What is prob of sequence cd? 8/105 Three letters picked without replacement from qhhqqnq. What is prob of sequence qnq? 2/35 What is prob of sequence uu when two letters picked without replacement from tllltduuldlllutlll? 1/51 Four letters picked without replacement from {y: 1, z: 2, r: 1, q: 3, c: 1, d: 3}. What is prob of sequence ydzq? 1/440 Four letters picked without replacement from {s: 4, c: 5, p: 6}. Give prob of sequence spcs. 1/91 Four letters picked without replacement from ubbjjvuvjavvavv. Give prob of sequence ubbj. 1/2730 Three letters picked without replacement from lpoupuggy. Give prob of sequence ulo. 1/252 Four letters picked without replacement from gggggghhhhgghg. Give prob of sequence ghgh. 60/1001 Four letters picked without replacement from {s: 4, g: 1, t: 4, r: 4, n: 3}. What is prob of sequence nsrg? 1/910 What is prob of sequence aha when three letters picked without replacement from {h: 1, a: 5, m: 4}? 1/36 Two letters picked without replacement from rrhrhxhrxwrxwhhrah. What is prob of sequence ra? 1/51 Two letters picked without replacement from {v: 11, d: 3, i: 1}. What is prob of sequence iv? 11/210 Three letters picked without replacement from {k: 7, q: 5, n: 4}. Give prob of sequence qkk. 1/16 What is prob of sequence bmm when three letters picked without replacement from umbuwmddbdwmb? 3/286 Calculate prob of sequence od when two letters picked without replacement from {w: 4, o: 2, d: 4, k: 6, t: 1}. 1/34 Calculate prob of sequence vgvz when four letters picked without replacement from {v: 4, z: 2, u: 3, g: 2}. 1/165 Two letters picked without replacement from {f: 14, i: 1}. Give prob of sequence if. 1/15 Three letters picked without replacement from nnzjnlsnznnsljnznjl. What is prob of sequence znn? 28/969 What is prob of sequence eb when two letters picked without replacement from ibfefebfefeie? 5/78 What is prob of sequence aapa when four letters picked without replacement from appaa? 1/10 Four letters picked without replacement from uqtbuuwuwqgub. What is prob of sequence qb
{ "pile_set_name": "DM Mathematics" }
of y and 21? 63 Let y be 14/49 + (-508)/14. Calculate the common denominator of (2/y)/((-3)/192) and (-411)/(-42) - (-2)/(-7). 18 Let q = -82 + -250. What is the lowest common multiple of 2/8 + q/(-16) and 4? 84 Suppose -3*p + 6*p = 0. Suppose p = -3*u - u + 8. Suppose 0 = 3*f - 12, -3*d - 5*f = -3 - 29. Calculate the lowest common multiple of d and u. 4 Let k = 287551/164407 + 777/509. Let y = -133543/176358 + k. Let r = y - 7/78. What is the common denominator of -55/6 and r? 42 Let h = -4 - -2. Let p be 1/h + 7/2. Suppose -3*g = -3*f - 12, 5*g + f - 23 + p = 0. What is the smallest common multiple of g and 10? 20 Suppose -s = s + 2, 0 = f + 4*s - 6. What is the smallest common multiple of f and 40? 40 Let r = -323/56 + 45/8. What is the common denominator of (-70)/(-18) + 6/9 and r? 63 Suppose 2*a + 12 = 5*d, 3*d - 4 = -2*a - 0. What is the smallest common multiple of d and 10? 10 Suppose 5*v - 138 = -83. What is the least common multiple of v and 10? 110 Let p be 0/(-2 + -1 + 2). Let b(k) = -k**3 - k**2 + k + 18. Calculate the least common multiple of 22 and b(p). 198 Let u be -1 - 0 - -2 - 19. Let j = -9 - u. Let a(t) = 3*t - 3. What is the smallest common multiple of j and a(3)? 18 Let p be (1 - 3)/((-2)/(-11)). Let y = p - -17. What is the lowest common multiple of y and 9? 18 Suppose 0 = 5*y + d - 5*d + 234, -4*d = -4*y - 184. Calculate the common denominator of -1 + -2 + 156/9 and y. 3 Suppose -178 + 198 = 10*p. Let r = 27 - 3. Calculate the smallest common multiple of p and r. 24 Let j(x) = -x. Let c = 18 - 8. Calculate the least common multiple of j(-5) and c. 10 Calculate the common denominator of 0 - 37/(-8) - 2 and 20/(-24) + (0 - 2). 24 Let f = 57 + -49. What is the smallest common multiple of f and 14? 56 Let j = -11 + 2. Let s be ((-14)/6)/(3/j). Let d = 1 + s. What is the smallest common multiple of 2 and d? 8 Let g = -81 - -104. What is the smallest common multiple of 6 and g? 138 Suppose 0 = 2*m - m - 25. Suppose -5*y = j - 21, 5*y - m + 3 = -2*j. Find the common denominator of 2*j - (-67)/(-6) and 15/16. 48 Suppose -3*x = -7*x - 4*i + 2056, 512 = x + 2*i. Find the common denominator of -29/3 and x/(-140) - (-8)/20. 21 Let z be (-1)/(6/(-8))*3. Suppose z*n + 109 = 3*r, n + 7 = 2*r - 14. Find the common denominator of n and -1/4. 4 What is the least common multiple of 16/((6 + -2)/4) and ((-56)/6)/(2/(-3))? 112 Let a = -8 + 13. Suppose 5 = j + z + 4, -3*z = -a*j + 45. Suppose -5*r - 4*h = -32, -2*r - r + h = -26. What is the smallest common multiple of r and j? 24 Let z = 9/133 - 13595/2394. Find the common denominator of -55/18 and z. 18 Let y = 14 + -10. What is the common denominator of ((-6)/(-15))/(y/(-114)) and 1/5? 5 Let k = 894/7 + -17523/140. Let r = -2125/4 - -535. Calculate the common denominator of r and k. 20 Find the common denominator of 71/9 and (4/(-80))/(3/42). 90 Let n = -1 + 3. Suppose 2*j - 12 = -n*j. Suppose j*g = 25 + 29. Calculate the smallest common multiple of 16 and g. 144 What is the smallest common multiple of 22 and -3 + (1/4 - (-189)/28)? 44 Let v(j) = -j**2 + j + 8. What is the lowest common multiple of 7 and v(0)? 56 Let b = -10328601/20140 + 27061/53. Let r = 1/190 + b. What is the common denominator of r and 113/20? 20 Let n(o) be the second derivative of 2*o**5/5 + o**4/6 - o**2/2 + 3*o. Calculate the lowest common multiple of n(1) and 3. 9 Let u = -4124011/666512 - 2/41657. Find the common denominator of 1*(-62)/(-40) - -2 and u. 80 Let m be ((-1258)/3)/((-24)/(-14)). Let x = m + 244. Find the common denominator of x and -31/12. 36 Let i = 0 - -2. What is the common denominator of -26/11 and 330/(-8)*i/(-3)? 22 Let k = 18/217 + 9494/651. Calculate the common denominator of k and 109/6. 6 Let a(t) = -t**2 + 6*t - 1. Let d be a(5). Calculate the smallest common multiple of (2/(-4))/((-2)/d) and 7. 7 Suppose 0 = -6*g + 2*g. What is the common denominator of (1/(-1) + -14)/4 and 162/(-20) + 2 - g? 20 Calculate the common denominator of ((-1422)/(-180))/(4/5) and -35/36. 72 Let w = -3 - -19. What is the smallest common multiple of w and 16? 16 Let d(p) = -p - 1. Suppose 3*j - 54 = -4*f, -j + 3*j + 5*f - 29 = 0. Let t = j - 16. What is the least common multiple of d(-5) and t? 12 Suppose 12*n - 9*n - 3 = 0. What is the least common multiple of 11 and n? 11 Suppose -59 = -2*i + 31. What is the lowest common multiple of i and 3? 45 Suppose -22 = -2*a + 38. Let b = 12 + -10. Suppose 6*q = b*q + t + a, -46 = -5*q - 3*t. Calculate the smallest common multiple of 8 and q. 8 Let s = -256333/20 - -12820. What is the common denominator of s and 145/18? 180 Let o = -2 + 6. Suppose -8*f + 4*f = -32. Calculate the least common multiple of f and o. 8 Let h = 3776/3 + -1272. Calculate the common denominator of h and (-1)/(-10)*(-1 - 17). 15 Let w be (-4)/(-2) - (-3 - -3). Suppose 3*g - w*v = -2479, 2*v - 3*v = 1. Let x = g - -1723/2. What is the common denominator of 29/3 and x? 6 Let u = 860 + -6038/7. Calculate the common denominator of u and -36/5. 35 Let v(l) = -2*l - 40. Calculate the smallest common multiple of v(-24) and 12. 24 Let w be ((-426)/3)/(2528/102). Let g = w + -130/79. What is the common denominator of g and (-3)/1*26/18? 24 Suppose 18 = -2*x - 10. Let r = 34 + x. Suppose 0*h + 4*h - 48 = 0. Calculate the smallest common multiple of r and h. 60 Let d = -6913/110 - -556/11. What is the common denominator of -23/9 and d? 90 Let j = 9/2 - -19. Let x = -1/289 - 11263/2312. What is the common denominator of j and x? 8 Let a = -2786 + 30620/11. What is the common denominator of -2 - 2/((-8)/17) and a? 44 Let v = 36 - 18. Suppose -4*j = -5*j + 20. What is the lowest common multiple of v and j? 180 Let p = 28992529 - 25281481755/872. Let s = p + 8/109. Calculate the common denominator of s and (-2)/1 - (-412)/32. 8 Let p(w) = w**3 + 4. Let u be p(0). Suppose -4 - 4 = -u*j. What is the smallest common multiple of j and 4? 4 Let k(m) be the second derivative of -m**4/12 + m**3/6 + 9*m**2/2 + 2*m. Let h be k(0). Find the common denominator of 39/7 and 2/((-24)/h)*26. 14 Let n = -104512361/14 - -7452420. Let m be (5102/3)/(6/(-45)). Let w = m - n. Find the common denominator of w and 23/4. 28 Let f = -1852922/56055 - -6502/505. Let o = -805 - -29767/37. Let s = f + o. Find the common denominator of s and -4/7. 21 Suppose -5*b = j - 9, -5*j - 1 = 3*b - 24. Calculate the common denominator of (-525)/12 + (-1)/j and 95/8. 8 Let z(i) = -i + 10 - 3*i**2 - 9*i - i**2 - i**3 - 7*i**2. Calculate the smallest common multiple of 8 and z(-10). 40 Suppose u - 28 = -u. Let m = u + -6. Find the common denominator of m and ((-1)/8)/((-1)/2). 4 Suppose -a + 1 = -6. Suppose -3*w = -a*w + 48. Calculate the lowest common multiple of w and 14. 84 Let l(o) = o**2 - 3*o. What is the least common multiple of 6 and l(5)? 30 Calculate the common denominator of -41/48 and (-2)/4*((-1208)/168 - -2). 336 Find the common denominator of 3/10 and (-182)/715*(-30)/8. 110 What is the smallest common multiple of 33 and (-36)/(-198) + ((-64)/(-11))/1? 66 Let c(m) = -m**3 - 5*m**2 + 1. Let b be (-3)/(-9) + 16/(-3). Calculate the smallest common multiple of c(b) and 2. 2 Let u = 3 - 2. Suppose -1 = 2*k + u. Find the common denominator of 51/8 and 0 - (k + (-165)/12). 8 Let d = -3/5176 + -126797/25880. Find the common denominator of d and -67/8. 40 Suppose -2*c = -21 + 5. Suppose -58 = -5*k + 3*t, 0 = -2*t - 4 + 12. What is the least common multiple of (-12)/c*(-44)/3 and k? 154 Suppose 3 = 2*g - 9. Let i = 9 + 2. What is the lowest common multiple of 11 and g/9*(i + 1)? 88 Let b(l) = 3*l + 2. Calculate the lowest common multiple of 18 and b(2). 72 Let l be 3 + (-16)/4*1. What is the common denominator of l*3/3*37 and 28/9? 9 Let c be (2/4)/((-2)/(-144)). Suppose -3*p + c = -2*p. What is the least common multiple of p and 20? 180 What is the common denominator of -97/12 and (1/(12/(-159)))/(-3)? 12 Suppose c = 3*z - 2*z - 101, c = 4*z - 116. Let r = c + -98. Find the common denominator of (-4)/14 + r/252 and -31/18. 18 Let v = -1/5832 + -306169/64152. Find the common denominator of v and -27/28. 308 Let x(t) = t + 1. Let b be x(-1). Suppose -2*u + p - 260 = b, -2*u + p - 524 = 2*u. Find the common denominator of ((-38)/u)/(3/(-27)) a
{ "pile_set_name": "DM Mathematics" }
Simplify (l*l**(-3/4))**(-20)/((l*(l*l*l**(-2/11)*l)/l*l)/(((l/(l*l**3))/l)/l)) assuming l is positive. l**(-152/11) Simplify (l**(-12)/(((l*l/(l**(-4/7)/l)*l)/l)/l))/(l*l**(-2))**(15/2) assuming l is positive. l**(-99/14) Simplify (((c/(c**3*c)*c)/c)/(c/(c/((c*c**(-2/3))/c))))/(c**(-9/2)*c*c**(-10)) assuming c is positive. c**(67/6) Simplify (o**(4/5))**(-17/6)/(o**(2/7)*o)**(-18/13) assuming o is positive. o**(-664/1365) Simplify (n**(-27)*n)/(n*n**(-17/5)*n)*n/(n**(-23)*n)*((n**(13/4)/n)/n)/n assuming n is positive. n**(-27/20) Simplify (o**6*o*o*o*o**6*o*o*o*o**(5/4)/o*o/o**(1/7))**25 assuming o is positive. o**(13375/28) Simplify (((d/(d**(-2)/d))/d*d)**(-2/43)*d*d**(-7)*d*(d*d**(-2))/d)**42 assuming d is positive. d**(-12978/43) Simplify (b**28*b**15)**0 assuming b is positive. 1 Simplify (p/p**7)/(p*p*p**(-2/13))*p**(4/3)/p**(5/8) assuming p is positive. p**(-2227/312) Simplify (l*l**(-19)/l)**(-14/11)*(l**(2/35)/l*l)**(-1/8) assuming l is positive. l**(37229/1540) Simplify (k*k**(-7))/(k*k**(-3/4))*k*k**(-14)*k*k**(-5) assuming k is positive. k**(-93/4) Simplify ((r*r**3*r*r)**(-10/3)/(r*r**(-1/5)*r)**4)**(-2/5) assuming r is positive. r**(272/25) Simplify (v/(v*v**(-13)))/v*v/((v/(v*v**(2/3)*v))/v)*(v*v/v**(-6)*v*v)/v**(-3/10) assuming v is positive. v**(779/30) Simplify ((n**(-17)/n**1)**(-10))**(-1/4) assuming n is positive. n**(-45) Simplify (m**(-4/7)/(m*(m/(m*m*m/(m**(-18)/m)*m))/m))/((m*m**8*m*m)/m)**(6/17) assuming m is positive. m**(2130/119) Simplify v**(-13)/v**18*(v/(v**(3/8)*v*v))/v**12 assuming v is positive. v**(-355/8) Simplify (f**(3/2))**(-1/15)*(f**(-2/9)*f)/f*f*f*f**(-11) assuming f is positive. f**(-839/90) Simplify (v*v*(v/(v/(v**(-1/4)/v)))/v*v*v*v*v*v/(v**(1/23)/v*v))/(v/(v**7/v)*((v/(v*v/(v/(v**(-8)*v))))/v)/v*v) assuming v is positive. v**(341/92) Simplify (y**(8/3))**44*(y/y**(-5))**32 assuming y is positive. y**(928/3) Simplify (w**13*w**(-1/2))/(w**(-31)/w**25) assuming w is positive. w**(137/2) Simplify (g/g**(1/6)*g)**(2/49)*(g**(3/2))**(17/2) assuming g is positive. g**(7541/588) Simplify (l*l/(l**(1/5)/l*l)*l**(2/65))/(((l**(-20/3)*l)/l*l)/l*l*(l/(l/(l/l**(-4/11))))/l) assuming l is positive. l**(15302/2145) Simplify (((f**(3/8)*f)/f)/(f/(f*f**(-11))))/(f**(-4/5)/(f/(f*f/(f**(2/9)/f)))) assuming f is positive. f**(-4177/360) Simplify (o**(-1/10))**11*(o/o**13)**(43/3) assuming o is positive. o**(-1731/10) Simplify (f/(f/f**(-7/2)))/(f**(-2/47)*f)*(f*f/f**(-18/11))/f*(f**(-22)*f)/f assuming f is positive. f**(-24631/1034) Simplify f**(-5)/(f/(f**(1/11)*f))*(f**(-2/13))**(-47) assuming f is positive. f**(332/143) Simplify (((i/i**(-1))/i)/i**0)/(i/(i**(-3)/i)*i**(-3)) assuming i is positive. 1/i Simplify j**(-6/17)*j*j*j**(-2)*j**(5/4)*j/j**17 assuming j is positive. j**(-1027/68) Simplify m**(-28)/m**(-20)*(m**(-17))**(10/7) assuming m is positive. m**(-226/7) Simplify (k*((k**0*k*k)/k)/k)**(1/10)*(k**(-2/7)*k)**(-4/5) assuming k is positive. k**(-33/70) Simplify ((i*i**(4/7))/i**(2/33))**(1/6) assuming i is positive. i**(349/1386) Simplify (k/k**17)**18*(k/((k/k**(-2/5))/k*k))**(-6/5) assuming k is positive. k**(-7188/25) Simplify ((s*s*s*(s/(s/((s*s**7/s*s)/s)))/s*s)/s*s**(-1/13)/s*s)**(-7) assuming s is positive. s**(-812/13) Simplify w**31/(w*w*w**18)*(w**(-16))**(2/77) assuming w is positive. w**(815/77) Simplify (s**(-2/123)*s**(-1/7)/s)/(s**(-17)*(s**18*s)/s*s*s) assuming s is positive. s**(-3581/861) Simplify w**(1/7)/(w/w**(1/13))*(w/(w**26*w))**(-2/107) assuming w is positive. w**(-2865/9737) Simplify (u**6*u/u**(-2/55))/((u/(u*u**2))/(u*u**(-29))) assuming u is positive. u**(-1043/55) Simplify ((d**(4/3)*d)**(2/79))**17 assuming d is positive. d**(238/237) Simplify (f**(-2/7)/f*f)**(1/53)/(f*f*f*f/(f**(-7)/f)*f)**(-1/3) assuming f is positive. f**(4817/1113) Simplify ((((q/((q/q**(-2/3))/q))/q)/(q/(q/q**6)*q))/(q**3*q**(-1/4)))**1 assuming q is positive. q**(-125/12) Simplify l**6/l**(-15)*l*l**3*l/(l*l**(-1/28))*l assuming l is positive. l**(729/28) Simplify ((((w*(w/(w*w/(w**(3/2)*w)))/w)/w)/w)/w*w)**(21/4)*(w/(w**(-1)/w))**(-2/43) assuming w is positive. w**(-951/344) Simplify ((p*p/(p/(p**(-4/11)/p)))/p**(2/5))/(((p*p/((p*p**(-12/7)*p)/p)*p*p)/p)/p**(8/3)) assuming p is positive. p**(-2092/1155) Simplify (p**(-20))**(1/68)/(p**(-1/23)/p*p/p**(-2)) assuming p is positive. p**(-880/391) Simplify ((b/b**(2/3)*b)/b)**36/((b**(-1)*b*b)/b**(-3/7)) assuming b is positive. b**(74/7) Simplify (j**13*j**12)**(-3) assuming j is positive. j**(-75) Simplify (g/(g*g/g**4*g*g)*g*g**(-16))/((g/(g**17/g))/g*g**(-18)) assuming g is positive. g**20 Simplify (h*h*h**(-1)/h*h**(5/2)/h)/(((h*h**(2/19))/h)/h**(-6/7)) assuming h is positive. h**(143/266) Simplify (d**(1/2))**(2/95)/(d**(1/7)/d**14) assuming d is positive. d**(9222/665) Simplify ((f**(1/4))**10/(f/f**(-1))**(-15))**(-47) assuming f is positive. f**(-3055/2) Simplify r**(-3/4)*r**(-17)/r*(r**(-2/21)/r*r)/(r/(r**(-17)/r*r)*r) assuming r is positive. r**(-3179/84) Simplify (f*f**(3/10)*f)/f**17*(f/(f*f/(f*f*f/(f/((f/f**(-3/2))/f)*f)*f)*f))**29 assuming f is positive. f**(144/5) Simplify (o**(-1))**(-11/3)*(o**(2/9))**(-15) assuming o is positive. o**(1/3) Simplify (((d/d**(-9))/(d/(d*d**(-1/9)/d*d)))/(d*d*(d/d**(-10))/d*d*d*d**(-2/13)*d))**42 assuming d is positive. d**(-8120/39) Simplify (((k**(2/27)/k)**(4/9))**26)**(-50) assuming k is positive. k**(130000/243) Simplify (z**(3/4))**(-43)*z**(-12)/z**(-23) assuming z is positive. z**(-85/4) Simplify (v**6/(v*v**27))/(v**(-31)/((v**(-21)*v)/v)) assuming v is positive. v**(-12) Simplify ((i**(1/2)/i)**(14/5)/(i/i**13*i*i/i**7))**47 assuming i is positive. i**(3666/5) Simplify (g**6)**(9/10)*g**(2/5)/g*g**(3/7) assuming g is positive. g**(183/35) Simplify (o*o*o**8*o*o/o**(-1/9)*(o*o*o**1)**(-2/89))**(-46) assuming o is positive. o**(-443762/801) Simplify q/(q*(q**(2/37)/q)/q)*q/(q/((q*(q*q/(q*q**9/q))/q)/q))*(q**(-7))**(3/11) assuming q is positive. q**(-3241/407) Simplify (p**3*p)**(-33/5)/(p**(3/7)/((p*p**(3/11))/p)) assuming p is positive. p**(-10224/385) Simplify z*z**(1/4)*z**(-2/9)*z**(1/5)*z**(-2/7)*z assuming z is positive. z**(2447/1260) Simplify (l/l**3)**(-38)*(l**12/l)/((l*l/l**(-1))/l) assuming l is positive. l**85 Simplify ((j/j**(2/7))**10*(j/((j**(2/5)/j)/j))**41)**43 assuming j is positive. j**(171183/35) Simplify ((x/(x/(x*(x/(x*x/x**(-4)*x))/x)))/(x*x**(-12/11)/x))**(-5) assuming x is positive. x**(270/11) Simplify s**(-3/19)/s*s*s**(-19)/s*(((s/(s*s**16))/s)/s)/(s*s*s*s*s**(-6/5)/s*s) assuming s is positive. s**(-3891/95) Simplify ((((x**(4/3)*x)/x)/(x*x**(-1/5)*x))**40)**(2/15) assuming x is positive. x**(-112/45) Simplify (((t/t**6)/t**(-23))**(1/4))**(2/43) assuming t is positive. t**(9/43) Simplify (((h**(-2/7)*h)**(2/141))**(-19/2))**(2/33) assuming h is positive. h**(-190/32571) Simplify (s**(-2/21)/s)**(-3/16)/((s*s/(s*s*s**(-2)))/s)**(-39) assuming s is positive. s**(4391/112) Simplify (v*v**11*v**(2/5)*v)/(v**(2/7)*v)**44 assuming v is positive. v**(-1511/35) Simplify s**(-2/17)/s**(-5/2)*s/s**(1/12)*s**(-13)*s*s assuming s is positive. s**(-1571/204) Simplify (m**(1/2)*m*m*(m/(m*m**8))/m*m)/(m/((m**(-1/3)/m)/m)*m/m**(-8)) assuming m is positive. m**(-107/6) Simplify ((x/(x/x**6))/(x/x**(-6/13)*x))/(x**(-2/7)*(x**(-1/6)/x)/x*x) assuming x is positive. x**(2725/546) Simplify (i**(2/35)*i)**(-38)/(i**17*i)**(-29/5) assuming i is positive. i**(2248/35) Simplify (((u/(u*u**(-1/14)/u))/u)/u*u**(-3)/u)/(u**1)**(-34) assuming u is positive. u**(407/14) Simplify ((p/(p**(-5)*p))/p**18)**(-15) assuming p is positive. p**195 Simplify (c/((c*c**(-2)/c)/c)*c*c**(16/7)/c)**(2/47) assuming c is positive. c**(88/329) Simplify m**4/m*m**(1/4)*m*(m/(m*m*m**5*m))/m**(-2/5) assuming m is positive. m**(-47/20) Simplify f**23/(f*f*f*f*f*f**(2/5)*f*f*f)*(f/f**2)**(-12) assuming f is positive. f**(133/5) Simplify (c**(-4/7)/((c**(-4)/c)/c)*c**(-2)/(c*c**4))**(23/4) assuming c is positive. c**(-253/28) Simplify (((f/f**(-14))/f**(-2/21))**(2/3))**(-32) assuming f is positive. f**(-20288/63) Simplify ((n**(1/6)/((n*n*n/n**(-7)*n*n)/n))**(-11))**(-25/7) assuming n is positive. n**(-17875/42) Simplify (m**(-4))**22*m**(-5)*m*m*m/((m/(m/(m/(m/m**(-9)))))/m) assuming m is positive. m**(-80) Simpl
{ "pile_set_name": "DM Mathematics" }
**2 - 175*c + 5*n*y**3 - 2*y**3 wrt c? 202*n*y + 8*y**3 + 4134*y What is the second derivative of 25090672*m**3 - 22881443*m? 150544032*m Find the second derivative of -668947*h**5 + 6*h**4 + 19708947*h. -13378940*h**3 + 72*h**2 Find the third derivative of 295*d**3*u**3 + 3*d**3*u + 7522*d**3 - 16243*d**2*u + 18*d*u**3 + 17*u**3 wrt d. 1770*u**3 + 18*u + 45132 What is the third derivative of 1278*d**4 + 24564*d**3 + 849*d**2 - d - 36778 wrt d? 30672*d + 147384 Find the second derivative of 109860300*q**3 + 78550651*q. 659161800*q What is the derivative of -4575856*p**3*z**3 + 4*p**3 - 2*p**2 - 5*p + z**2 + 9703 wrt z? -13727568*p**3*z**2 + 2*z What is the second derivative of -2*k**4*r + 73970983*k**3*r**2 - 19*k*r**2 - 5*k*r - 2*k + 101634*r**2 wrt k? -24*k**2*r + 443825898*k*r**2 Find the first derivative of 4113689*a + 116036030. 4113689 Find the third derivative of 246693766*z**5 + 370713471*z**2 wrt z. 14801625960*z**2 What is the derivative of -222774683*i**3 - 292707528 wrt i? -668324049*i**2 Find the first derivative of -223098195*h + 97657229. -223098195 What is the third derivative of 2*h*m**3 - 8*h*m**2 - 179*h*m - 453590*m**3 + 263*m**2 + 2*m wrt m? 12*h - 2721540 What is the second derivative of -2*p**4 - 3436552*p**3 + p**2 + 3061698*p - 12? -24*p**2 - 20619312*p + 2 Find the third derivative of -2*u**6 + 12356880*u**4 + 43913637*u**2 - 2*u + 2 wrt u. -240*u**3 + 296565120*u What is the first derivative of 17603*z**4 + 60*z**3 + 2*z - 58199117? 70412*z**3 + 180*z**2 + 2 What is the third derivative of -686499011*u**4 - 12*u**2 - 34045909 wrt u? -16475976264*u What is the second derivative of -4104991*a**2 + 573660*a wrt a? -8209982 What is the third derivative of -818920519*h**4 + 178522287*h**2 wrt h? -19654092456*h Find the second derivative of -1081603*g**2*t**3 - 4*g**2 - 980*g - 20681*t**3 wrt g. -2163206*t**3 - 8 Find the third derivative of -855124*m*o**3 + 2*m*o + 2*m + 9*o**4 + o**2 - 10*o + 4175 wrt o. -5130744*m + 216*o Find the first derivative of 24586263*q**4 + 16642503 wrt q. 98345052*q**3 Differentiate 872*k**3*v*w + 16*k**3 - 2*k**2*v*w - k**2*v - 2*k**2 - 358*k*v - 1104*v*w - v with respect to w. 872*k**3*v - 2*k**2*v - 1104*v Find the third derivative of 823*a**4 - 142075*a**3 + a**2 - 162*a - 202895. 19752*a - 852450 Find the third derivative of -6248501*o**3 + 5403766*o**2 wrt o. -37491006 What is the third derivative of 24219725*c**3*h**2 - 4838731*c**2*h**2 - c**2 wrt c? 145318350*h**2 Find the first derivative of 18339*l**3 + 3*l**2 + 778*l + 161735044 wrt l. 55017*l**2 + 6*l + 778 What is the first derivative of -30*v**2 - 135764*v - 26431849 wrt v? -60*v - 135764 What is the second derivative of 731871469*h**4 + 2*h + 277644 wrt h? 8782457628*h**2 What is the third derivative of -6700189*a**4 + 131704*a**2 - 2*a - 3? -160804536*a What is the first derivative of -77589190*k - 53391027? -77589190 What is the third derivative of -1548395*y**3 + 3*y**2 - 1141*y + 2853? -9290370 What is the third derivative of -84221432*q**4*x + 334*q**2*x + 46*q**2 - 2*q*x + 2*q - 3*x - 3 wrt q? -2021314368*q*x Find the third derivative of 2*u**6*x**2 + 1392113*u**3*x**2 + 2*u**2*x**2 + u**2*x - 5*u**2 - 3*x**2 + 80 wrt u. 240*u**3*x**2 + 8352678*x**2 Find the second derivative of 392779112*f**3 + 140619132*f. 2356674672*f What is the second derivative of -827080756*r**3 - 645736448*r wrt r? -4962484536*r What is the derivative of -7084*y**3 + 3209*y - 144685870? -21252*y**2 + 3209 Find the second derivative of -5737*k**3*l + 6177*k**3 + 2*k**2*l - 198*k*l - 2*k - 10*l wrt k. -34422*k*l + 37062*k + 4*l Find the first derivative of i**4 + 6*i**3 - 2397*i**2 - 72*i + 23254290. 4*i**3 + 18*i**2 - 4794*i - 72 Differentiate 10179107*j**3*s*t**2 + 2557*j**3*s + 2*j**2*s - 788*j**2 - s*t**4 wrt t. 20358214*j**3*s*t - 4*s*t**3 What is the second derivative of 3*c**2*r**2 + 2764311*c**2 + 9*c*r**2 - 982319*c wrt c? 6*r**2 + 5528622 Find the second derivative of 6*g**3*h**2 + g**3*h - 12405*g**2*h + 3*g**2 + 2*g + 806908*h**3 - 2*h**2 - 33 wrt h. 12*g**3 + 4841448*h - 4 Find the second derivative of -109*h**4 - 358633*h**2 + 4115343*h + 3. -1308*h**2 - 717266 Differentiate 2660*y**4 + 1189*y**3 - 8565232 wrt y. 10640*y**3 + 3567*y**2 What is the second derivative of 728*l**3*r**2 + 32051*l**3 + 14*l*r**2 - l*r - 40*r**2 + 195*r + 5 wrt l? 4368*l*r**2 + 192306*l Find the second derivative of -65652870*q**2 + 104340078*q. -131305740 Find the third derivative of 27455418*z**3 - 3*z**2 + 292761*z. 164732508 What is the first derivative of -94052766*n - 45444396 wrt n? -94052766 Find the second derivative of -3202036*v**2*x**2 - 445*v**2 + v*x**3 + 4*v*x + 2176 wrt x. -6404072*v**2 + 6*v*x Find the first derivative of -3*a*b**3*n - 149314*a*b*n**3 + 177*a*n**3 - n**3 - 8*n**2 - 360*n wrt b. -9*a*b**2*n - 149314*a*n**3 Find the second derivative of 105703684*j**2 - 10383622*j - 4. 211407368 Differentiate -31851924*q - 27168077. -31851924 What is the first derivative of 5*j*t*z + 1235*j*t - 31*j - 15*t*z - 7*t - 29906*z wrt t? 5*j*z + 1235*j - 15*z - 7 What is the third derivative of 10948834*s**5 + 66509*s**2 - 19*s wrt s? 656930040*s**2 What is the third derivative of -415737164*u**2*y**3 - u**2*y**2 - u*y**2 + 568150*u*y - 4 wrt y? -2494422984*u**2 What is the first derivative of 73*u**4 - 57777*u**3 + 4*u + 1042367143 wrt u? 292*u**3 - 173331*u**2 + 4 Find the third derivative of 43462567*k**4 - 6*k**3 + 400802251*k**2. 1043101608*k - 36 What is the second derivative of -1137694*q**2 - 25092598*q wrt q? -2275388 Find the second derivative of 16069*d*h**3 + 2*d*h**2 - 50*d*h - 52*d + 76*h**3 - 3*h**2 - h + 14 wrt h. 96414*d*h + 4*d + 456*h - 6 Differentiate 32843778*f**4 + 52064859. 131375112*f**3 What is the derivative of j**3*m**2 - 4*j**3 + 42*j**2 + 16*j - 2211503*m**2 - 14 wrt m? 2*j**3*m - 4423006*m Find the second derivative of 5991951*l**2*x**3 - l**2*x - l*x - 3904890*x wrt x. 35951706*l**2*x Differentiate -102*v*w**4 + 3330621*v*w**3 + 726825261*v with respect to w. -408*v*w**3 + 9991863*v*w**2 Find the second derivative of 4255*b*n**2 - 58*b*n + 5*b - 93004*n**2 + 5*n - 7571 wrt n. 8510*b - 186008 Find the third derivative of -6581277*n**3*y + 3*n**2*y + 967*n*y + 556*y wrt n. -39487662*y Find the second derivative of -28*b**5 + 265*b**4 + 214*b**2 - 19*b + 2449267 wrt b. -560*b**3 + 3180*b**2 + 428 What is the first derivative of -199635429*k**4 - 132649308? -798541716*k**3 What is the second derivative of 23*r**5 + 451*r**4 + 5*r**2 + 18520452*r? 460*r**3 + 5412*r**2 + 10 What is the derivative of 69647744*h*o + 3044*o - 3235 wrt h? 69647744*o What is the second derivative of 14*l**5 - 6*l**3 - 4092*l**2 + 20833252*l wrt l? 280*l**3 - 36*l - 8184 What is the first derivative of 1170538282*f + 664691625 wrt f? 1170538282 Find the second derivative of 3047013*g**3*n + 11*g**2*n - 38*g*n - 2*g + 547029*n wrt g. 18282078*g*n + 22*n What is the second derivative of 1374*u*x**3 - 76900*u*x + 81*x**5 - 455*x**2 + 83 wrt x? 8244*u*x + 1620*x**3 - 910 What is the third derivative of 2*c**2*d*y**3 + 18019*c**2*d*y + 46405863*c**2*y**3 - 2*c**2*y**2 + 6*c*d*y**2 + d*y**2 + 30*y wrt y? 12*c**2*d + 278435178*c**2 What is the third derivative of 139095348*z**4 + 70*z**2 + 2*z - 34186? 3338288352*z What is the second derivative of -9679388*n**4 + 5*n**3 + 43389915*n? -116152656*n**2 + 30*n Differentiate -2967*v**3*y + 753*v*y**3 + 2728603*y**3 wrt v. -8901*v**2*y + 753*y**3 What is the second derivative of 5639*g**2*u**3 - 33*g**2*u**2 + g**2*u - 2*g*u**3 - 56484*g*u**2 + 87*g*u + g wrt g? 11278*u**3 - 66*u**2 + 2*u Find the second derivative of 2531*n**2*t**2 - 1369835*n**2*t - 2160*n*t**4 + n*t wrt t. 5062*n**2 - 25920*n*t**2 What is the third derivative of -k**4 - 83682568*k**3 - 186372*k**2 + 236*k + 1? -24*k - 502095408 Find the second derivative of 222*s**4 + 51*s**2*y - 11*s**2 - 83930924*s*y wrt s. 2664*s**2 + 102*y - 22 What is the third derivative of -2*o**4*x + 40*o**4 - 767*o**3*x + 3*o**3 + 3*o**2*x - 3042*o**2 + 3*o - x - 22 wrt o? -48*o*x + 960*o - 4602*x + 18 Find the first derivative of 67*x**3 - 2700*x**2 - 13*x - 50551699. 201*x**2 - 5400*x - 13 What is the derivative of 402082066*f**2 - 372636842? 804164132*f Find
{ "pile_set_name": "DM Mathematics" }