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pile-dm_mathematics

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37*g + 8*g**2. 8*g**2 Collect the terms in 0*t**3 - t**3 + 11*t**3 + 0*t**3. 10*t**3 Collect the terms in 4*u + 0*u + 3*u**3 - 4*u**3 - 4*u. -u**3 Collect the terms in 3*y + 10*y**3 + 1 + 7*y - 1. 10*y**3 + 10*y Collect the terms in 114*n + 2*n**2 - 247*n + 127*n. 2*n**2 - 6*n Collect the terms in 2 + 9*b - 3 + 144*b. 153*b - 1 Collect the terms in 0 + 0 + 3 - 1 + 6*w. 6*w + 2 Collect the terms in -2665*i - 2672*i - 4*i**3 + 5337*i. -4*i**3 Collect the terms in -302*u**2 - 167*u**2 + 142*u**2. -327*u**2 Collect the terms in 1 + t - t + 29*t**2 + 9*t**2. 38*t**2 + 1 Collect the terms in 4 - 16*s**2 - 4 + 21*s**2. 5*s**2 Collect the terms in 16*t + 15*t - 33*t + 8*t. 6*t Collect the terms in -334*i**2 + 1 - 1. -334*i**2 Collect the terms in -105 - 100 - 82*d + 205. -82*d Collect the terms in -2*q**3 - 3*q**3 - 6*q**3. -11*q**3 Collect the terms in 164*t + 0 + 5 - 2 - 5. 164*t - 2 Collect the terms in -5*j + 2 + 353*j**3 + 5*j. 353*j**3 + 2 Collect the terms in -177 + 0*m**3 - m**3 - 3*m**2 + 177. -m**3 - 3*m**2 Collect the terms in 3*p - 4*p + 0*p - p + 4*p - 3*p. -p Collect the terms in -45*j + 2 + 43*j - 2. -2*j Collect the terms in -114*x**2 - 26*x**2 - 63*x**2. -203*x**2 Collect the terms in -9*j**2 + 19*j**2 - 8*j**2 - 4*j**2 - 7*j**3. -7*j**3 - 2*j**2 Collect the terms in -3*r - 21 + 21. -3*r Collect the terms in 84 - 84 - 35*k**2. -35*k**2 Collect the terms in f - 13664953 + 13664953. f Collect the terms in 67 + t**2 - 67. t**2 Collect the terms in 49*j**3 - 43*j**3 + 13 - 13. 6*j**3 Collect the terms in 186*f**2 - 62*f**2 - 59*f**2 - 60*f**2. 5*f**2 Collect the terms in 19*l**3 - 14*l**3 + l**3 - l**3 + 3*l**3. 8*l**3 Collect the terms in -6*b - 4*b + 4*b - 2*b. -8*b Collect the terms in -2*v**3 + 23509 + 0*v**3 - 23509. -2*v**3 Collect the terms in 4*h**3 + 7*h**3 - 5*h**3 + 2*h**3 - 10*h**3. -2*h**3 Collect the terms in i**3 - 2*i**3 + 4*i**3 + 7*i**3. 10*i**3 Collect the terms in 42*n**2 + 23*n**2 + 74*n**2. 139*n**2 Collect the terms in 5*r + 16*r**2 - 11*r + 6*r. 16*r**2 Collect the terms in 143*h**3 + 13 - 13. 143*h**3 Collect the terms in 0 + 502*w + 0. 502*w Collect the terms in 299*m - 210*m + 132*m + 326*m. 547*m Collect the terms in 1063*y**2 - 3*y + 5*y - 3433*y**2. -2370*y**2 + 2*y Collect the terms in 123*l - 368*l + 123*l + 125*l. 3*l Collect the terms in 660 - 220 - 219 - 11*o - 221. -11*o Collect the terms in -278*r**2 - 313*r**2 + 619*r**2. 28*r**2 Collect the terms in 17*f - 7*f - 9*f - 6*f. -5*f Collect the terms in -5*f**3 + 7*f**3 + 12*f**3 + 5. 14*f**3 + 5 Collect the terms in 21*j**3 + 3*j**2 - 15*j**3 - 3*j**2. 6*j**3 Collect the terms in -5*b**3 + 2*b - 92*b**3 - 2*b. -97*b**3 Collect the terms in 13*y**3 - 3*y**2 - 3*y**2 + 6*y**2. 13*y**3 Collect the terms in -2*g**2 + 54 + 13*g + 3*g**2 - 54. g**2 + 13*g Collect the terms in -22*o - 15*o - 25*o + 76*o - 17*o. -3*o Collect the terms in -9*t**2 - 12*t**2 + 33*t**2 - 13*t**2. -t**2 Collect the terms in -7818*r**2 + 3907*r**2 + 3910*r**2. -r**2 Collect the terms in -3*x**3 + 2 + 10 - 12. -3*x**3 Collect the terms in 32*z**3 - 58*z**3 + 27*z**3. z**3 Collect the terms in -83*f**3 + 169*f**3 - 76*f**3. 10*f**3 Collect the terms in 7*p**3 - 4*p**3 - 63*p - p**3. 2*p**3 - 63*p Collect the terms in 17*l - 57*l + 24*l + 15*l. -l Collect the terms in -230*c - 162*c + 123*c. -269*c Collect the terms in -26*j**2 + 7*j**2 - 11*j**2. -30*j**2 Collect the terms in 362*r - 85*r - 91*r - 94*r - 93*r. -r Collect the terms in -3*s + s + 7*s. 5*s Collect the terms in h**3 + 0*h**3 + 3*h**3 + 2*h**3 - 2*h**3. 4*h**3 Collect the terms in 37*c**2 - 57*c**2 - 43*c**2 - 20*c**2. -83*c**2 Collect the terms in -771*y + 1 - 1 + 768*y. -3*y Collect the terms in 4 - 314*m - 4. -314*m Collect the terms in -1 + 0 - 292*u - 32*u. -324*u - 1 Collect the terms in 238*u + 228*u + 230*u - 934*u + 234*u. -4*u Collect the terms in 3*z + z + 2 - 4 + 0*z. 4*z - 2 Collect the terms in 3*q**3 - 345172 + 345172 - q**3. 2*q**3 Collect the terms in 0*n**2 + 10*n - 5*n**2 - 7*n**2 + 3*n**2. -9*n**2 + 10*n Collect the terms in 106*g**3 - 216*g**3 + 105*g**3. -5*g**3 Collect the terms in -412 + 412 + 21*t. 21*t Collect the terms in -16 - 3*k + 16. -3*k Collect the terms in 9*z**2 - 23*z + 68*z - 45*z. 9*z**2 Collect the terms in 0 - f - 3 + 3. -f Collect the terms in 14*p**2 - 22*p**2 - 17*p**2. -25*p**2 Collect the terms in -16 - 15 - 130*f + 31 + 129*f. -f Collect the terms in 0*h + 9*h + 0*h. 9*h Collect the terms in -5*n**3 + 5 - 5 - 6*n**3. -11*n**3 Collect the terms in 4*y - 8 - 4 - 16 - 6. 4*y - 34 Collect the terms in -3*j - 3*j + 5*j - 3 + 3. -j Collect the terms in -119*k**2 - 61*k**2 - 24*k**2. -204*k**2 Collect the terms in -2*z - 16*z**3 - 73*z**3 + 5*z**3. -84*z**3 - 2*z Collect the terms in 103 + 19*l - 58*l - 21. -39*l + 82 Collect the terms in 49*j + 6*j**2 - 49*j - 9*j**2. -3*j**2 Collect the terms in 0 - 224*c + 2 - 2. -224*c Collect the terms in j + j + 13*j**3 - 2*j. 13*j**3 Collect the terms in -5*t**3 + 5*t**3 - 3*t**3 + 35*t**3. 32*t**3 Collect the terms in -142 - 2*s + 142. -2*s Collect the terms in 2623 - 2623 - 12*x. -12*x Collect the terms in 6 - 6 + 81*d**3 + 0. 81*d**3 Collect the terms in -163*x + 2*x**3 + 339*x - 176*x. 2*x**3 Collect the terms in -6 + 4 + 44*w + 2. 44*w Collect the terms in 81*m**2 - 127*m**2 - 31*m**2. -77*m**2 Collect the terms in -7*f + 8*f + 4 - 4 - 4*f. -3*f Collect the terms in -4*m**2 + 0*m - 4*m**2 + 0*m + 5*m**2. -3*m**2 Collect the terms in 17*c + 11*c - 30*c. -2*c Collect the terms in 92*x + 198*x - 5*x. 285*x Collect the terms in -28*v**2 - 41*v**2 - 35*v**2 + 105*v**2. v**2 Collect the terms in -3*i - 6 - 5 + 11. -3*i Collect the terms in 0*j**3 - 6*j**3 - 23*j**3. -29*j**3 Collect the terms in q + 5*q - 13*q - q + 5*q. -3*q Collect the terms in -7 + 7 - 13*o**2 + 4*o**2. -9*o**2 Collect the terms in -h - h**2 + 2*h + 0*h - 2*h**2. -3*h**2 + h Collect the terms in -9*x**2 - 1135 + 1135. -9*x**2 Collect the terms in 4*o + o + 8*o - 11*o. 2*o Collect the terms in 260 - y + 102 + 31. -y + 393 Collect the terms in -f**2 + f**2 + 99*f**3 - 94*f**3. 5*f**3 Collect the terms in -28135*p - 2*p**2 + 28135*p. -2*p**2 Collect the terms in -3*y**3 + 46 - 13 - 33. -3*y**3 Collect the terms in 2*t**2 - 12*t**2 + 3*t**2. -7*t**2 Collect the terms in -z**3 + 8*z**3 + 2*z**3. 9*z**3 Collect the terms in -17*j - 38*j + 69*j. 14*j Collect the terms in -4*p + 3*p - p + 3*p. p Collect the terms in 8 - w**3 - 9 + 1. -w**3 Collect the terms in -2421*s**3 - 2417*s**3 + 4837*s**3. -s**3 Collect the terms in 9*s**3 + s**3 + 10*s**3. 20*s**3 Collect the terms in 25 + 29 - 54 - 47*k**3 + 2*k**2. -47*k**3 + 2*k**2 Collect the terms in 5 - 3 - 2 - 48*u**2. -48*u**2 Collect the terms in 47*k**2 - 22*k**2 - 31*k**2. -6*k**2 Collect the terms in 42 - 42 - 27*h**2. -27*h**2 Collect the terms in v + 309*v**3 + 0*v - v. 309*v**3 Collect the terms in -141*l**2 - 25*l**2 - 402*l**2. -568*l**2 Collect the terms in 7*t**2 + 6*t**2 - 3*t**2 - t**2. 9*t**2 Collect the terms in -2*a**3 - 103 + 121 - 18. -2*a**3 Collect the terms in -158*w**2 + 155*w**2 - 12 + 12. -3*w**2 Collect the terms in -19 - 7*u + 19 + 3*u. -4*u Collect the terms in -53*f + 53*f + 293*f**3 + 399*f**3. 692*f**3 Collect the terms in 4*l + 10*l + 22*l - l**3 - 6*l - 30*l. -l**3 Collect the terms in 7*j**3 + 5*j**3 - 7*j**3. 5*j**3 Collect the terms in -23 + 23 + 4*g**2. 4*g**2 Collect the terms in 33 - 2*b - 24 + 28. -2*b + 37 Collect the terms in -15*b**3 + 0*b**2 + 7*b**3 + 7*b**2. -8*b**3 + 7*b**2 Collect the terms in -x**2 - 23*x - 2*x**2 + 2*x**2. -x**2 - 23*x Collect the terms in 22*x**3 - 33*x**3 - 9*x**3. -20*x**3 Collect the terms in -799 + d + 799. d Collect the terms in -2532 - 7*w**2 + 2532. -7*w**2 Collect the terms in -13*u + 18*u + 0*u - 4*u. u Collect the terms in -1490*c + 740*c + 748*c. -2*c Collect the terms in 7439*o - 7439*o + 41*o**3. 41*o**3 Collect the terms in 67*i**3 - 164*i + 164*i. 67*i**3 Collect the terms in 24*m**2 - 37*m**2 + 20*m**2. 7*m**2 Collect the terms in 788*h + 894*h - 1685*h. -3*h Collect the terms in 70 + 4*s - s - 4*s - 70. -s Collect the terms in 1234*u**3 + 16 - 1232*u**3 - 16. 2*u**3 Collect the terms in 159*x**3 + 158*x**3 - 322*x**3. -5*x**3 Collect the terms in 64
{ "pile_set_name": "DM Mathematics" }
e third derivative of g**5/20 - 5*g**4/2 - 192*g**3 + 7109*g**2. Let u(k) = 0. What is k? -12, 32 Suppose 9*n = 122 + 40. Let g be (-105)/28*(-24)/n. Determine b, given that 10/3*b - 5/6*b**g + 10/3*b**2 - 10/3*b**4 + 0 - 5/2*b**3 = 0. -2, -1, 0, 1 Let b = 22931/10 - 2293. Let u(c) be the first derivative of -b*c**5 - 1/8*c**4 - 7 + 1/6*c**3 + 0*c + 1/4*c**2. Factor u(v). -v*(v - 1)*(v + 1)**2/2 Let b be 5281/660 + (-6 - -142)/(-17). Let y(g) be the third derivative of 0 + 1/1320*g**6 + 0*g + 0*g**4 + b*g**5 + 0*g**3 - g**2. Factor y(a). a**2*(a + 1)/11 Solve -16/5*z - 18/5 + 2/5*z**2 = 0 for z. -1, 9 Let d(a) be the third derivative of -a**7/210 - 47*a**6/30 - 247*a**5/20 - 461*a**4/12 - 184*a**3/3 - a**2 + 259*a. Factor d(z). -(z + 1)**2*(z + 2)*(z + 184) Suppose -2*t = 28*q - 29*q + 3, -17*t + 20 = -2*q. Factor -48/5*c - 2/5*c**t - 288/5. -2*(c + 12)**2/5 Let j(y) be the third derivative of -y**8/168 - 71*y**7/105 - 113*y**6/20 - 601*y**5/30 - 116*y**4/3 - 44*y**3 - 4081*y**2. Factor j(m). -2*(m + 1)**3*(m + 2)*(m + 66) What is q in 80/7 - 4/7*q**5 - 34/7*q**2 - 46/7*q**4 - 118/7*q**3 + 122/7*q = 0? -8, -5/2, -1, 1 Let a(t) be the first derivative of 0*t**2 - 1/2*t**4 - 55 + 2/3*t**3 + 0*t. Factor a(b). -2*b**2*(b - 1) Let n(i) be the second derivative of 1/110*i**5 - 2 - 7/11*i**2 - 3/22*i**4 + 20*i + 5/11*i**3. Factor n(j). 2*(j - 7)*(j - 1)**2/11 Let i(q) = q**5 + 7*q**4 - 15*q**3 - 10*q**2 + 10*q - 10. Let k(y) = y**4 - 2*y**2 + 2*y - 2. Let x(t) = 4*i(t) - 20*k(t). What is u in x(u) = 0? -5, 0, 3 Let h = -286 + 284. Let l be h/42*(-26 - -2). Find z such that 0 - l*z**3 - 8/7*z**2 + 2/7*z**5 + 0*z + 2/7*z**4 = 0. -2, -1, 0, 2 Let w(g) be the third derivative of g**5/12 - 25*g**4/6 + 8*g**2 + 83. Determine v so that w(v) = 0. 0, 20 Let r(a) be the third derivative of 0*a + 57*a**2 - 2 - 8/165*a**5 + 0*a**3 - 3/44*a**4. Factor r(b). -2*b*(16*b + 9)/11 Factor 3/5*i**3 + 144/5*i - 48/5*i**2 + 0. 3*i*(i - 12)*(i - 4)/5 Let s(d) be the first derivative of -d**2 - 4*d + 4/3*d**3 + 1/2*d**4 - 199. Factor s(x). 2*(x - 1)*(x + 1)*(x + 2) Suppose 152 - 4*g - 2*g**5 - 224*g**3 - 148*g**2 + 224*g + 60*g**2 - 64*g**4 + 6*g**5 = 0. What is g? -2, -1, 1, 19 Suppose -4*w = 5*y - 16, 4*w + y - 15 = 1. Suppose 8*z - 6*z = w. Factor -z*u**2 - 8*u**3 - 2 + 2*u**3 + 4*u**2 + 7*u - u**3. -(u - 1)*(u + 1)*(7*u - 2) Let i(n) be the first derivative of n**6/4 - 6*n**5/5 - 87*n**4/8 - 12*n**3 + 2718. Let i(l) = 0. What is l? -3, -1, 0, 8 Let q(a) = -2*a + 1. Let c = 11 - 12. Let x be q(c). Suppose -x*h**3 + 8*h**3 + 10*h**2 - 2*h + 0*h**2 + 7*h = 0. Calculate h. -1, 0 Let x = 325 + -323. Factor 0*k**2 + 2*k**2 + k**3 - 3*k**3 + 3*k**x - k**2. -2*k**2*(k - 2) Suppose -10*x + 3268 = -6*x. Determine v, given that 6*v**2 - x - 24*v + 3*v**3 + 404 + 413 = 0. -4, 0, 2 What is s in 2402432/11 + 4384/11*s + 2/11*s**2 = 0? -1096 Let f(l) = -3*l**2 + 783*l. Let s(z) = -z**2 + 388*z. Let d(a) = 4*f(a) - 10*s(a). Factor d(i). -2*i*(i + 374) Let m(u) = -42*u**3 + 294*u**2 - 765*u + 531. Let n(s) = 20*s**3 - 148*s**2 + 383*s - 266. Let d(c) = 4*m(c) + 9*n(c). Factor d(i). 3*(i - 10)*(2*i - 3)**2 Let k be 31581/28710*(2 - 18/11). Determine p, given that 0*p + 0 - 2/5*p**2 + k*p**4 - 2/5*p**3 + 2/5*p**5 = 0. -1, 0, 1 Factor -150*i + 106/3*i**2 + 24 + 4*i**3. 2*(i - 3)*(i + 12)*(6*i - 1)/3 Let t be 154/10*418/2090 + 4/(-50). Factor -19/2*f**4 + 0*f + 33/2*f**5 - f**t + 0 + 0*f**2. f**3*(3*f - 2)*(11*f + 1)/2 Determine u so that -1/4*u**2 - 235/2*u + 0 = 0. -470, 0 Solve -240 + 10*w**4 - 520*w**2 - 5*w**5 + 282*w + 57910*w**3 - 57775*w**3 + 338*w = 0. -6, 1, 2, 4 Let w(c) be the first derivative of -2*c**5/35 - c**4/7 + 8*c**3/3 - 46*c**2/7 + 6*c + 1224. Suppose w(j) = 0. Calculate j. -7, 1, 3 Let h(s) be the third derivative of -320/3*s**3 - 1/150*s**5 + 0*s - 3*s**2 + 14 - 4/3*s**4. Find k, given that h(k) = 0. -40 Let g be ((-8388)/64308)/(3/(-46)). Let 10/9*t + 0 - 2*t**g + 2/3*t**3 + 2/9*t**4 = 0. What is t? -5, 0, 1 Suppose 0 + 106/7*l**4 + 54/7*l**3 - 36/7*l**2 + 16/7*l**5 + 0*l = 0. What is l? -6, -1, 0, 3/8 Let j be 9/(-6)*26/(-13). Suppose 2*m**2 + 4*m**j - 7 - 1 - 30*m + 11*m + 3*m = 0. What is m? -2, -1/2, 2 Let l be ((-2)/14)/((-581)/16268). Solve l + 53/2*f**3 + 5/2*f**5 - 17*f**2 - 14*f**4 - 2*f = 0. -2/5, 1, 2 Factor 0 + 32/7*t**3 - 2/7*t**4 + 300/7*t - 170/7*t**2. -2*t*(t - 6)*(t - 5)**2/7 Factor -729/4*z**3 - 595/4*z - 8073/4*z**2 - 11/4. -(z + 11)*(27*z + 1)**2/4 Factor -250*o**2 - 125000*o - 1/6*o**3 - 62500000/3. -(o + 500)**3/6 Let 9*g**4 - 35*g**2 - 32*g**3 + 2*g**3 - 11*g**4 - 8*g**3 + 278*g - 160 - 43*g**2 = 0. Calculate g. -16, -5, 1 Suppose -3*k = 4*w - 216, 4*w + 104 = 2*k + 340. Suppose -104*s + 59*s**2 - w*s**2 - 86 + 79 + 1359 = 0. What is s? 26 Let j(a) be the third derivative of -a**8/1680 + 2*a**7/75 - 8*a**6/25 + 209*a**5/150 - 367*a**4/120 + 19*a**3/5 - 8752*a**2. Solve j(s) = 0 for s. 1, 6, 19 Let b be ((-6)/64)/(28 + (-16498)/584). Find c such that 0*c - 9/8*c**4 + 0*c**2 - b*c**5 + 3/2*c**3 + 0 = 0. -4, 0, 1 Let u be (19674/68859)/((-2)/(-14)). Factor -18/7*d**u - 27/7*d + d**4 + 10/7*d**3 + 1/7*d**5 + 27/7. (d - 1)**2*(d + 3)**3/7 Let y be (366/90 + -3)*(8 + (-22)/4). Factor 2/3*d**2 - y + 8/3*d - 2/3*d**3. -2*(d - 2)*(d - 1)*(d + 2)/3 Solve 1/5*g**4 - 82/5*g**3 + 1597/5*g**2 + 1764/5 + 3444/5*g = 0 for g. -1, 42 Let d(g) be the second derivative of g**6/90 + 169*g**5/60 + 55*g**4/2 + 982*g**3/9 + 652*g**2/3 - 2*g - 235. Factor d(h). (h + 2)**3*(h + 163)/3 Let w = 1815/329 - 264/329. Suppose w*s**3 + 0 + 18/7*s**2 + 0*s - 51/7*s**4 = 0. Calculate s. -6/17, 0, 1 Factor -3/5*n**2 - 1257/5 + 252*n. -3*(n - 419)*(n - 1)/5 Let x be 0/((-2)/(8/4)). Suppose 2*l = 3*l - 2*k - 5, -k = x. Factor -8*t**4 - 2*t**3 + 688 - 6*t**l - 688. -2*t**3*(t + 1)*(3*t + 1) Let z(b) be the second derivative of b**5/240 + 7*b**4/96 + b**3/2 + 67*b**2/2 - 75*b. Let n(a) be the first derivative of z(a). Factor n(c). (c + 3)*(c + 4)/4 Solve 14/13*p**2 - 32 - 1452/13*p = 0 for p. -2/7, 104 Let t(y) be the first derivative of 45 + 1/12*y**3 + 4*y - y**2. Factor t(m). (m - 4)**2/4 Let o(p) be the first derivative of -2*p**2 + 4/27*p**3 - 88/9*p - 175. Find t such that o(t) = 0. -2, 11 Let b(c) be the second derivative of c**6/6 - c**5 - 25*c**4/4 + 15*c**3 + 225*c. Factor b(a). 5*a*(a - 6)*(a - 1)*(a + 3) Let u be (-1876)/154 - -12 - (-1456)/22. Let o be (-11)/(u/(-72))*2/16. Find q, given that o - 3/2*q**3 + 3/2*q - 3/2*q**2 = 0. -1, 1 Let b be ((-18)/24*2)/((-36)/(-60))*4/(-15). Determine w so that 44/9*w + 16/3 + b*w**2 = 0. -6, -4/3 Let d(r) = -r**2 + r + 14. Suppose -11 = 2*l + j, -2*l + 0*j - 4*j = 26. Let u be d(l). Solve z**3 + 15*z**u - 26*z**2 + z**4 + 9*z**2 = 0. -2, 0, 1 Let u(z) be the first derivative of -z**6/2 + 54*z**5/5 - 24*z**4 + 234. Factor u(p). -3*p**3*(p - 16)*(p - 2) Let j be (-38)/(-16) - (975/40)/65. Let n(q) be the first derivative of -5/2*q**4 + 35/3*q**3 - 35/2*q**j + 10*q - 28. Factor n(p). -5*(p - 2)*(p - 1)*(2*p - 1) Suppose 27/5 + 9/5*g - 3*g**2 + 3/5*g**3 = 0. Calculate g. -1, 3 Let v be 6/(-12)*0/1*402/804. Factor v*y + 4/5*y**3 + 1/5*y**5 + 0*y**2 + y**4 + 0. y**3*(y + 1)*(y + 4)/5 Let p be (-14)/28*(1 + -1) + 6. Factor -p*z**4 + 13*z - 281*z**3 - 1 + 0 + 29*z**2 - 2 + 288*z**3. -(z - 3)*(z + 1)**2*(6*z - 1) Factor 40/9 - 1/9*u**3 - 9*u + 14/3*u**2. -(u - 40)*(u - 1)**2/9 Let n(b) = 5*b**2 - 11*b - 13. Let j(h) = -h**2 + 16*h - 36. Let k be j(3). Let f(l) = -l**2 + l + 1. Let q(w) = k*f(w) + n(w). Suppose q(m) = 0. Calculate m. -1, 5 Let q(k) = 294*k - 9408. Let c be q(32). Factor c + 3/4*g**2 - 3/4*g**5 + 3/4*g**3 - 3/4*g**4 + 0*g. -3*g**2*(g - 1)*(g + 1)**2/4 Let n be (-4 - 1)*(-18)/45. Let 13*m - 9*m + 0*m**2 + 26*m - 75 - 3*m**n = 0. What is m? 5 Let s(u) = 53*u - 131. Let w be s(16). Let v = w - 715. Suppose 5 + 1/5*p**v - 2*p = 0. What is p? 5 Let a(j) be the second derivative of -j**6/120 - j**5/30 - 28*j**2 + 87*j. Let o(f) be the first derivative of a(f). Factor o(g). -g**2*(g + 2) Let g(v) be the third derivative of 0*v**3 + 7/360*v**6 - 1/630*v**7 - 27 - 4/45*v**5 + 1/6*v**4 + 0*v - v**2. Factor g(w). -w*(w - 3)*(w - 2)**2/3 Factor 2/17*r**2 + 540/17 - 118/17*r. 2*(r - 54)*(r - 5)/17 Let m(v) be the second derivative of
{ "pile_set_name": "DM Mathematics" }
? (a) -0.2 (b) 191/217 (c) 11 b What is the nearest to 5 in 9, 4.6, 43, -0.1, -0.5, 0.3? 4.6 What is the closest to 0.4 in -1/6, 3/40, 0.05, 6, -12/5? 3/40 What is the nearest to -1595 in 24, -38, 10, -1, -2? -38 What is the closest to -528 in 1, -1, -0.06, -594, -2? -594 What is the nearest to -63 in -0.05, -1/5, 2, 0.1, 7/2, -5/4? -5/4 Which is the nearest to -36? (a) -242 (b) -1946 (c) 0.4 (d) -1/6 d What is the closest to 0 in -70, 53, -2/3, 0.3, 0, -49? 0 Which is the nearest to -390? (a) -0.0432 (b) -19 (c) 0.3 (d) -1/7 b What is the closest to -1 in 6, -49670/167, -4? -4 Which is the closest to -4? (a) -5 (b) -669 (c) -1 (d) 64 a Which is the nearest to -2/1683? (a) 5 (b) -5 (c) -0.267 (d) -2/3 c What is the nearest to -88 in 0, 760, -2/15? -2/15 What is the closest to 12 in 0.4, 3771, -0.048, 3? 3 Which is the nearest to -1? (a) 171 (b) -0.1 (c) 16 (d) 0 (e) 1/3 (f) 3/11 b What is the nearest to -77389.16 in -0.3, -0.4, 1, -1/9? -0.4 What is the nearest to 0.1 in 10/9, -7, -28, 9.5? 10/9 What is the nearest to -0.03 in -221, 1/4, 2/5, -2/11, 2/205, -3/7? 2/205 Which is the closest to 2199? (a) 2/7 (b) -9 (c) 6 c Which is the nearest to 0.2? (a) 2 (b) -0.4 (c) 9/5 (d) -2/41 (e) 0 e Which is the nearest to -2/5? (a) 3 (b) -4/3 (c) 1/6 (d) 5 (e) -0.5 (f) 13 e What is the nearest to 383 in -6, -4, -5/4, -1.742? -5/4 Which is the closest to -1? (a) 1/3 (b) 2.70763 (c) 4 a Which is the nearest to -287? (a) -26 (b) -9 (c) 2/3 (d) -5/6 (e) 1/3 a What is the nearest to -5/3 in 1/20, 2/9, -10, -0.1, 35? -0.1 What is the closest to 0.6 in -0.1, 7/6, 3, 212, 2? 7/6 What is the closest to -16.8 in 1/8, 127/4, -0.3, 2/31? -0.3 Which is the closest to -58? (a) -28 (b) -1 (c) -3 (d) -37 (e) 0 d Which is the nearest to -11/2? (a) 1 (b) -39 (c) 7/46 c Which is the closest to -1? (a) -19 (b) 6 (c) -275 (d) 0.4 (e) 2 d Which is the closest to 32? (a) -0.4 (b) 2 (c) 0.2 (d) -2 (e) -17 b What is the nearest to -273 in -3/8, 3, 5, -113? -113 Which is the nearest to -3/2? (a) 0.4 (b) 207680 (c) 60 a What is the closest to -15963.1 in -2/5, -92, -4? -92 What is the closest to 5 in 0.01, 5, -10, 7/50? 5 Which is the nearest to -16? (a) 3/4 (b) -25.2 (c) -62 b Which is the nearest to 1? (a) 3/4 (b) -4 (c) -0.4 (d) 27.066 (e) 11/7 a What is the closest to -1 in -6, 2693, 0.1, 13? 0.1 Which is the closest to 6? (a) -3 (b) 0.2 (c) 16/39 (d) 3/5 (e) 5 (f) -1.3 e Which is the closest to -6? (a) -0.329 (b) -5 (c) 4/7 (d) -1 (e) 94 b What is the closest to 27 in 12, 3, 6/97, 5/2, -2/11? 12 Which is the nearest to 14? (a) -0.1 (b) 11576 (c) 8 (d) 0.2 c What is the closest to -7298 in -925, 2, -0.4? -925 Which is the closest to -2? (a) -1/50 (b) -0.2 (c) -2 (d) -19 (e) -0.3 c What is the nearest to -1/6 in 0, 1, 1/81, -1, 16? 0 Which is the nearest to 0? (a) 1 (b) -0.4 (c) 2/57 (d) 1/3272 (e) 2/3 d Which is the nearest to 273.1? (a) -1/116 (b) -0.01 (c) 0.5 (d) 7 d What is the closest to 429 in -17, 3/11, 3, -2/7? 3 What is the nearest to -0.2 in -3, -62, -0.2184? -0.2184 Which is the closest to 2/5? (a) 6 (b) -0.008 (c) 2 (d) -379.7 (e) 0.3 e Which is the closest to 23? (a) -28319 (b) -0.13 (c) 4 (d) 0 c What is the nearest to 2/7 in 1/9, 0.2, -0.036, -2, 5/2? 0.2 What is the closest to -1/7 in 1/8, -5, -2/3, 0, 42.07, 1? 0 What is the closest to -329 in -122, -1, -1/5? -122 Which is the closest to 2? (a) 0.36 (b) -0.2 (c) -19 (d) -49 (e) 0.1 (f) 1 f Which is the closest to 184/4423? (a) -9/5 (b) 3 (c) -2/19 c Which is the nearest to -0.9? (a) 0.01 (b) 7151 (c) 0 c What is the nearest to 0.1 in 141, 39, -0.01, -4, -53/3? -0.01 What is the closest to 8 in 4587/5, -3, -2.2? -2.2 What is the closest to 2 in -810, -1/3, -2/11, -5, 1/2? 1/2 Which is the closest to -1? (a) -52 (b) -2340 (c) -2/5 c Which is the closest to 0.01? (a) -1.2 (b) -166/63 (c) -1/4 (d) 3/5 c Which is the closest to -103.3? (a) -3 (b) -3/7 (c) 82.5 a Which is the nearest to -0.1? (a) -0.4 (b) 3423 (c) -0.0484 c Which is the nearest to 1? (a) 26 (b) 0 (c) -0.3 (d) 0.15 (e) -2/3 (f) -0.1 d What is the nearest to 0.44 in 3, -12/5, -0.833? -0.833 What is the nearest to 2/7 in 0.3, -4/15, 0.11, -1.414? 0.3 What is the closest to -4 in 19, -6, 1.101, 2/3? -6 What is the closest to 61 in 1/5, 4/3, -18/13, -0.06, 0? 4/3 What is the closest to -3 in 581, -0.05, -0.01? -0.05 What is the closest to 39 in -3, -24, 4137, -4/3, 1/4, -2/9? 1/4 Which is the nearest to -0.2? (a) 3/4 (b) -2/5 (c) -47431 (d) 0.4 (e) -1 (f) -0.9 b What is the nearest to 0.1 in -67775, 5, -0.5, 28? -0.5 Which is the closest to 0? (a) -1 (b) -118 (c) 2/197 (d) 13/8 (e) 1/5 (f) 4 c Which is the nearest to -2/5? (a) -5 (b) 1 (c) 0.463 (d) 0.5 (e) 0.047 e What is the nearest to -2 in 7/60, -2/95, 0.23? -2/95 What is the nearest to -84215 in 6, 1, 3, -3/2, -2? -2 What is the closest to 1 in -0.4, -1, -77, -7? -0.4 What is the closest to -2/7 in 1083, -2/23, -8/19, 1/2, 0.7? -8/19 What is the closest to -1/8 in -1136/81, 15, 1? 1 What is the nearest to -1 in 1/6, 1/3, 2199, -0.5, 5? -0.5 What is the nearest to -0.73 in 0.0488, -7, 4? 0.0488 Which is the closest to -15? (a) -1 (b) -24/7 (c) 2076 (d) -3 b What is the nearest to -23 in -2/7, -0.8, -7, -51/5, -4? -51/5 What is the nearest to 48/19 in 1/80772, 0.4, 2? 2 What is the closest to 0.6 in -4, 0.1, -83, -11/2? 0.1 What is the closest to 0.007 in 0, -1/6, 121/283? 0 What is the nearest to -1667 in -2/643, 1, 0.3, 3? -2/643 What is the closest to -7 in 3, 0.09, -10, -5, -0.1, 0.2? -5 Which is the closest to -1? (a) 16 (b) -1/11 (c) 3 (d) 4/25 b Which is the nearest to 1/4? (a) -0.3 (b) 2 (c) -40732.9 (d) -11 a What is the closest to -0.1 in 1441, -3, -2148? -3 Which is the nearest to -4? (a) -2 (b) -115/6 (c) -32 (d) 3 a Which is the closest to 18445? (a) 3 (b) 9 (c) -1 b What is the closest to -2/7 in -2.9, 4, 3, 2/5, -40, 0.0023? 0.0023 What is the nearest to 88 in 1.09, 4, -8/3? 4 What is the nearest to -2 in -8/9, -4, -87, -6, 3? -8/9 Which is the nearest to 1? (a) 0.2 (b) -3 (c) 8/7 (d) 4 (e) -6/11033 c Which is the nearest to 2/151? (a) 15/8 (b) 3.6 (c) 3 (d) -3 (e) 109 a What is the nearest to 396856 in -2, 0.5, 1.2, -0.2, 0.1? 1.2 Which is the nearest to 0.0324? (a) 1/4 (b) -5 (c) -4/5 (d) -3 a What is the closest to -8 in -1/3, 2.1, -3501? -1/3 What is the closest to -30 in -0.4, 0.09, 5, -1.59? -1.59 Which is the nearest to 3/7? (a) -1 (b) -1/3 (c) 17443 b What is the closest to -0.1 in 258, -5394, -0.6? -0.6 What is the nearest to -6470 in 13, -2, 3, 4, 6? -2 What is the nearest to -8/13 in -15/8, 0.3, -4, -5, -2/7? -2/7 What is the nearest to -59 in 5, 0.04164, -3? -3 Which is the closest to -11? (a) 0.0962 (b) 2/3 (c) 0.4 (d) -9.9 d Which is the closest to 4? (a) 1/4 (b) -16 (c) -3055 a What is the nearest to -74 in 58/7, 5, -4, -8, -2? -8 What is the nearest to 2 in 0.21, -5, 18423, 0, 2/17? 0.21 Which is the closest to 0.013? (a) 0.3 (b) 1 (c) 4/5 (d) -57 a Which is the closest to 166/7? (a) 42 (b) -1/4 (c) 3 a Which is the nearest to 2? (a) 1/260 (b) -52 (c) 41.5 (d) -3 a What is the nearest to 1 in 0.1, 1/27, -3673, 2/55, 2/11? 2/11 What is the closest to -27443 in -6, -1.3, -5/4, 3? -6 What is the nearest to -1/3 in -4/9, -1, 54962, 0.5? -4/9 Which is the nearest to -2/9? (a) 0.1 (b) -25657 (c) 2/7 a What is the nearest to 12 in -0.367, -4, 4, 24? 4 What is the nearest to -110 in -5, -55, 0, 5, 17/2, -8? -55 Which is the closest to 2? (a) 21.8 (b) -12 (c) -5 (d) 10 (e) -2/15 e What is the nearest to -0.1 in -1, 1, -9.8, -2/9, -2/7? -2/9 What is the nearest to 1/3 in 17, 2/11, 2515, 77, 2/5? 2/5 What is the closest to -8/27 in -0.3, 4, -0.008? -0.3 What is the closest to 0.1 in 6, -28, -2/11, -2/209, 4, 0.1? 0.1 Which is the closest to -4? (a) 1 (b) -1710 (c) -6 (d) 3 c Which is the nearest to 1? (a) 2/5 (b) -11/9 (c) 2/301 a What is the closest to -74118 in 2, -90, 5? -90 What is the nearest to -4 in -26, -20, 10, -2? -2 Which is the closest to -0.969? (a) -2 (b) 25/2 (c) 0.04 (d) -0.5 (e) -0.19 d Which is the nearest to -25? (a) -3 (b)
{ "pile_set_name": "DM Mathematics" }
o, 2*x - 20 = 5*o. What is the remainder when h is divided by x? 14 Let v(n) = -2*n + 16. Let c be v(-4). Suppose -c = 24*d - 26*d. What is the remainder when 46 is divided by d? 10 Let l = 203 + 143. Suppose 2*d + 2*d - 680 = -5*x, 2*d + 4*x = l. Suppose 11*o - d - 44 = 0. Calculate the remainder when 49 is divided by o. 11 Let x(r) = -91*r + 2043. What is the remainder when 1285 is divided by x(22)? 14 Let h(n) = -1463*n - 2841. Calculate the remainder when 431 is divided by h(-2). 6 Suppose -9*a + 8*a = 7. Let m(f) = f + 9. Let l be m(a). Suppose l*s - 16 = -w + 3*s, -3*w + 4*s = -44. What is the remainder when w is divided by 9? 2 Suppose -364 = 2*k - 6*k. Suppose -30*g + 64133 = 63443. What is the remainder when k is divided by g? 22 Suppose 4*h - 530 = -k, 4*k = 77*h - 74*h + 2177. What is the remainder when k is divided by 48? 14 Suppose -234 = -4*m - 5*j, 298 = 5*m + j - 5. Let a = m - -3. Suppose c = 3*c - 22. What is the remainder when a is divided by c? 9 Let u = -304 + 366. Suppose -15*y = u - 92. What is the remainder when 13 is divided by y? 1 Let o be (1 - 4) + (11 - 3). Suppose -o*g + 8*g + 1236 = 0. Let a = g - -714. What is the remainder when a is divided by 61? 58 Let h(v) = -v**2. Let z(j) = j**3 + 5*j**2 + 8*j - 4. Let u(d) = -4*h(d) - z(d). Calculate the remainder when u(-7) is divided by 51. 48 Suppose -4*s = -92*r + 95*r - 32, 0 = -5*s - 2*r + 33. Calculate the remainder when ((-304)/20)/((-4)/10) is divided by s. 3 Suppose 0*n = -4*n + 8. Let i be (11/(231/90))/((-1)/14). Let j = 62 + i. What is the remainder when j is divided by n? 0 Suppose 0*v - 10 = 5*v. Let h(o) = -o**2 - o + 12. Let f be h(-6). Let n = v - f. What is the remainder when n is divided by 7? 2 Let u = -319 - -404. Suppose 3 - 1 = -4*k - 2*h, -3*k + 1 = 4*h. Calculate the remainder when u is divided by ((-66)/15)/(k/5). 19 Suppose 0 = -31*z + 36*z - 230. Let b(d) = 10 - d**2 - 9*d - 2 + 9. Calculate the remainder when z is divided by b(-9). 12 Let p be (-1)/(-5) - (-1)/(-5). Let d(v) = -v**2 + v - 17. Let g be d(p). Let c = -15 - g. What is the remainder when 5 is divided by c? 1 Let k(m) = -m**3 - 34*m**2 + 71*m - 25. What is the remainder when 46 is divided by k(-36)? 2 Let r = -14 - -50. Suppose -x + r = 3*p, 4*x - 2*p - p = 189. What is the remainder when x is divided by 4/(-36) + (-452)/(-18)? 20 Let q(c) = 145*c + 169. Calculate the remainder when 184 is divided by q(-1). 16 Suppose -6*s + 1299 = -1821. Let g = 534 - s. Calculate the remainder when 292 is divided by g. 12 Calculate the remainder when ((-229870)/3175)/(1/(-655)) is divided by 26. 24 Let v = 30 - 11. Let j(g) = g**3 - 15*g**2 - 74*g - 37. What is the remainder when 5 is divided by j(v)? 0 Let x(p) = -1. Let o(h) = 6*h - 36. Let d(r) = o(r) + 12*x(r). What is the remainder when d(9) is divided by 1? 0 Let r(w) = 200*w + 3857. What is the remainder when 7122 is divided by r(-19)? 54 Suppose 9*c + 21648 = 8*c + 67*c. What is the remainder when 999 is divided by c? 15 Let t(g) = -g**3 - 2*g**2 - 37*g - 299. Calculate the remainder when t(-14) is divided by 8. 3 Suppose -2*s = -w + 42, -30*s + 74 = 2*w - 32*s. What is the remainder when 534 is divided by w? 22 Let d(x) = 4*x**3 - 8*x**2 + 33*x - 125. Calculate the remainder when 478 is divided by d(4). 73 Suppose 4328*o + 272 = 4362*o. What is the remainder when 502 is divided by o? 6 Let j = 9 + -5. Suppose 0*x - j*x = -4. What is the remainder when 3 is divided by (1 + -5 + x)*-1? 0 Suppose -4*h + 6*h - 411 = 3*i, 4*i + 20 = 0. What is the remainder when h is divided by (2 + 23)/(((-1175)/(-1880))/((-10)/(-8)))? 48 Let x(y) = y**3 + 27*y**2 + 138*y - 11. Let v(u) = -3*u - 4. Calculate the remainder when v(-4) is divided by x(-7). 2 Suppose -27*g - 2391 = -30*g - 3*d, 0 = 3*g + 2*d - 2391. Calculate the remainder when g is divided by 393. 11 Suppose 3*g + g - 388 = -2*p, -g = 2*p - 94. Let w = g + -50. Let b(t) = 6*t**2 - 192*t + 17. Calculate the remainder when w is divided by b(32). 14 Suppose 112*x = 10*x - 15*x + 7605. Let w(v) = 14*v**2 + v + 8. What is the remainder when w(6) is divided by x? 63 Calculate the remainder when 57 is divided by 12/(-18)*(1 - 10) + 3. 3 Suppose k - 5 = d, 2*d - d - 20 = -4*k. Suppose -k - 67 = -9*a. Calculate the remainder when 15 is divided by a. 7 Let p(s) = s + 25. Let t be -1*((-9 - -4) + -146). Let u = 191 - t. Calculate the remainder when u is divided by p(-11). 12 Let o be 1 + -3 + 0 + 1. Let j(d) = 33*d + 7. Let m(t) = 34*t + 8. Let c(w) = -7*j(w) + 6*m(w). What is the remainder when 50 is divided by c(o)? 24 Suppose -2*x + 361 = 2*x + 5*c, -473 = -5*x + c. Calculate the remainder when x is divided by 80. 14 Let r(m) = -35*m - 7. Let c be r(-1). Suppose 2*l + 16 = -2*l, -w + 5*l = -c. Calculate the remainder when w is divided by 5. 3 Suppose 5*d = 253 + 187. Suppose 4*c + 5*c = -5769. Let p = c + 650. What is the remainder when d is divided by p? 7 Suppose -7*y - 4*w = -92, -w - 52 + 40 = 0. Calculate the remainder when y is divided by (-1*2 - 0) + 8. 2 Suppose 3*c = 9*n - 4*n - 137, 0 = -4*n + 5*c + 107. Suppose 3*l + 4*w - 224 = 0, -236 = -3*l - 2*w + w. What is the remainder when l is divided by n? 24 Let s be (-4)/16 + 0 + (-5319)/(-12). Suppose 13*u - 14*u + s = 0. Let h = -216 + u. Calculate the remainder when h is divided by 38. 37 Let l(b) = 5*b**2 - 10*b + 73. Let t(h) = -h**2 - h - 1. Let f(d) = l(d) + 6*t(d). Calculate the remainder when f(-16) is divided by 37. 30 Let f(q) = -q**3 + q**2 - q + 6. Let m be f(0). What is the remainder when 128 is divided by (2 + (-10)/m)/((-11)/(-1848))? 16 Let l(t) = -44*t - 468. Let j(s) = -9*s - 93. Let f(w) = -11*j(w) + 2*l(w). What is the remainder when 167 is divided by f(-4)? 38 Calculate the remainder when 2/6*(-32 - -29)*-3*1871 is divided by 3. 0 Let p = -7 + 3. Suppose -n + 10 + 23 = 0. What is the remainder when 1*(127 + p/(-1)) is divided by n? 32 Suppose 4*d = 3*d - 21. Let r = d - -27. Suppose 0 = 3*q + 6, o = 16*q - 17*q + 21. Calculate the remainder when o is divided by r. 5 Let u be 30/(-8) + 11/(-44). Let s be u/(-16)*2*6. Suppose 10 = 2*q + s*q - l, 4*l = -q + 2. Calculate the remainder when q is divided by 1. 0 Let a(d) = 4*d**2 + 36*d - 35. Let t be ((-9)/6)/(2/(-28)). Suppose -3*i + 24 = -3*p, -2*i + p = 4*p - t. What is the remainder when i is divided by a(-10)? 4 Suppose 631 = 4*o + d, 3 = 2*d - 3. Suppose -145*b + o*b = 468. Calculate the remainder when 82 is divided by b. 4 What is the remainder when 1166 is divided by (-12556)/(-258)*(-9)/(-6)? 71 Suppose -3*k = 3*g - 231, -4*g = -115*k + 114*k - 343. Calculate the remainder when 600 is divided by g. 12 Suppose -2*q = -0 + 2, 3*q + 23 = 4*a. Suppose a*t - 95 = -455. Let g = t + 100. What is the remainder when g is divided by 3? 1 Calculate the remainder when ((-930)/(-66))/(52/572) is divided by 42. 29 Suppose 0 = -41*g + 44*g + 12, 0 = 5*w + 4*g - 2654. What is the remainder when w is divided by 55? 39 Suppose 37031 = 28*h + 16143. What is the remainder when h is divided by 251? 244 Suppose 0 = -v + 41 + 7. Let y = v - -434. Calculate the remainder when y is divided by 11. 9 Let u = 281 + -277. Suppose -b + u*j = -38, -4*b - 64 = -6*b + 4*j. Calculate the remainder when 47 is divided by b. 21 Let s = 43 + 44. Suppose 0 = 4*f - s - 65. What is the remainder when (-336)/16 + 21 + 2 + 294/2 is divided by f? 35 Let q(d) = 3*d - 1. Let h be q(4). Let b = 18 - h. Let l(w) = -6*w**2 + 251*w + 1476. Calculate the remainder when l(47) is divided by b. 5 Suppose 21*f + 17*f - 4332 = 0. Suppose -f = -11*d + 106. Calculate the remainder when 37 is divided by d. 17 Suppose -3*i = 5*q - 453, 0 - 5 = -5*i. Suppose -4*g + 9*g - q = 0. Suppose 4*s = 12, 2*z + 3*s = -1596 + 1745. What is the remainder when z is divided by g? 16 Let y(v) = 189*v + 255. Calculate the remainder when y(2) is divided by 40. 33 Let n = 57 + -33. Let k = n + 9. Calculate the remainder when k is divided by (-8)/(((-10)/3)/5). 9 Suppose 207*z - 389*z - 1127 = -205*z. Suppose 0 = -3*d - 9, -5*l + 7 = 4*d - 31. What is the remainder when z is divided by l? 9 Let u(f) = -f**2 - 78*f - 1447. Calculate the remainder when u(-38) is divided by 15. 13 Let a(c) = c**2 - c - 17. Let v(s) = -s**2 + 13*s. Let m be v(10).
{ "pile_set_name": "DM Mathematics" }
n base 10, what is 246194 + 4? 246198 In base 10, what is 790177 + 4? 790181 In base 16, what is -1e1 - -51? -190 In base 3, what is -1010100220 - 2? -1010100222 In base 9, what is 8 - -17036? 17045 In base 4, what is 321 - -11333333? 12000320 In base 13, what is 121b7 - 0? 121b7 In base 12, what is -5a - -5333? 5295 In base 2, what is -100000010100000 - -100? -100000010011100 In base 14, what is -1 + 318a1? 318a0 In base 4, what is -233122 + -100? -233222 In base 10, what is -17668 - -2? -17666 In base 12, what is 181a + -7? 1813 In base 14, what is 8d4c4 - 1? 8d4c3 In base 14, what is 515c + -1? 515b In base 12, what is 2 - -66345? 66347 In base 4, what is -22313 + -300? -23213 In base 2, what is 11 - 10000011100100101001? -10000011100100100110 In base 2, what is 101110100110101001 - 10? 101110100110100111 In base 4, what is 0 + -30302? -30302 In base 13, what is -1575c - 2? -15761 In base 7, what is -5201 - -24? -5144 In base 4, what is 10 + -13133? -13123 In base 14, what is -233050 + 3? -23304b In base 13, what is -a - -197? 18a In base 7, what is -4435154 + -2? -4435156 In base 5, what is -40 + -1104? -1144 In base 7, what is -11521 - 14? -11535 In base 12, what is 1a1 + -6b6? -515 In base 15, what is c + -4e555? -4e548 In base 16, what is -1 - 3fd8f? -3fd90 In base 12, what is -a - -11b? 111 In base 12, what is 191 + 24? 1b5 In base 3, what is -100122111111 - 122? -100122112010 In base 14, what is 71921d - 4? 719219 In base 3, what is 12 + -1011002? -1010220 In base 9, what is -4 + -32802? -32806 In base 10, what is 8383 + -1? 8382 In base 10, what is -63334 - 3? -63337 In base 13, what is -10b58 + 3? -10b55 In base 13, what is 142892 + 1? 142893 In base 6, what is -54030 - 3? -54033 In base 8, what is -156 + 2146? 1770 In base 7, what is 12 - -412424? 412436 In base 14, what is 3 - -1847ad? 1847b2 In base 3, what is 112111 + -122210? -10022 In base 2, what is -100 - 101001100011011111010? -101001100011011111110 In base 11, what is 712 - -451? 1063 In base 14, what is -522 + 25? -4db In base 4, what is 1002 + 133231? 200233 In base 13, what is -16766 - -4? -16762 In base 10, what is -6 - 80837? -80843 In base 2, what is -110000011 + -1101011110? -10011100001 In base 8, what is -2270433 - -4? -2270427 In base 8, what is 10 - -66503? 66513 In base 8, what is 17000 - -2? 17002 In base 2, what is -1111011100011 + 1001001? -1111010011010 In base 11, what is 17 + -600? -594 In base 11, what is -6 - 3789? -3794 In base 9, what is -6 + 60166? 60160 In base 13, what is -19 + 971? 955 In base 5, what is -2203303 - 101? -2203404 In base 12, what is b5 + -248? -153 In base 3, what is -12 - 202202220? -202210002 In base 9, what is 0 + -181523? -181523 In base 15, what is 174a0 + -5? 1749a In base 4, what is 31132 + 12212? 110010 In base 10, what is -4 - 29811? -29815 In base 15, what is -1581 - -22? -155e In base 15, what is -104 - c6a? -d6e In base 3, what is 11002 - 210011012? -210000010 In base 2, what is -1111000000011111 - -100? -1111000000011011 In base 15, what is -4 - -769ac? 769a8 In base 6, what is 103 - -11114? 11221 In base 10, what is -5 - 86? -91 In base 10, what is 81124 - 0? 81124 In base 14, what is -3d - -78c? 74d In base 12, what is -441 + -313? -754 In base 2, what is 10111001001 - -101010100? 11100011101 In base 15, what is -23ae + -5? -23b4 In base 7, what is 1306 - 12? 1264 In base 5, what is -1400213324 + -3? -1400213332 In base 8, what is 250476 + -2? 250474 In base 7, what is 14 - 6111? -6064 In base 6, what is 15 - -53245? 53304 In base 4, what is 20 + 11212? 11232 In base 7, what is 135 + -251454? -251316 In base 7, what is 42313 - -13? 42326 In base 5, what is 340040111 - 0? 340040111 In base 5, what is 12214142 + -1? 12214141 In base 12, what is -13 + 216a? 2157 In base 9, what is -3 - -502328? 502325 In base 4, what is 20102 + -2? 20100 In base 3, what is -22 + -220220110? -220220202 In base 15, what is 123e - 18? 1226 In base 4, what is -320110313 - 2? -320110321 In base 9, what is -3 - -135625? 135622 In base 2, what is 11 + -110011100100? -110011100001 In base 14, what is 5504 - -5? 5509 In base 16, what is 18 + 84b? 863 In base 4, what is 10 + -11210? -11200 In base 10, what is 168888 + 2? 168890 In base 11, what is -9 - -127? 119 In base 15, what is -e67 + 7? -e60 In base 16, what is 2 + 2e89? 2e8b In base 13, what is -5 + 7bc15? 7bc10 In base 9, what is -1812 + 276? -1525 In base 8, what is 2 - 334351? -334347 In base 7, what is -3 + 1033524? 1033521 In base 10, what is -1915 + 124? -1791 In base 15, what is 4b + 964? 9b0 In base 14, what is 21531 - -3? 21534 In base 9, what is 2 + -143005? -143003 In base 9, what is -31 + 607? 566 In base 5, what is 1431241 - 103? 1431133 In base 12, what is -8b0 - 24? -914 In base 12, what is -786 - 5? -78b In base 3, what is -110010000 - 100011? -110110011 In base 11, what is -66 + 6280? 6215 In base 8, what is -112 + 5541? 5427 In base 16, what is 8f + -207? -178 In base 15, what is -22941 - 5? -22946 In base 5, what is 120 - 21334421? -21334301 In base 7, what is 2221301 + -4? 2221264 In base 9, what is -107 - 17432? -17540 In base 8, what is 241 - -11430? 11671 In base 5, what is 104 + -104423? -104314 In base 8, what is 4 + 63502? 63506 In base 4, what is -10203001 - 1? -10203002 In base 5, what is -141024 - -2? -141022 In base 10, what is 1 - 67496? -67495 In base 8, what is -2072 + -32? -2124 In base 5, what is -11312 + 2031? -4231 In base 16, what is 5 - -30a1? 30a6 In base 15, what is -6 - 393? -399 In base 14, what is 22779 + 53? 227cc In base 6, what is 12 + -1500005? -1455553 In base 5, what is 244122 + -132? 243440 In base 6, what is 31 - 40001? -35530 In base 5, what is -13302201 - -4? -13302142 In base 6, what is 2 + -32052? -32050 In base 3, what is 22 + -202202101? -202202002 In base 6, what is -4 + 325450? 325442 In base 14, what is -65d - 3? -662 In base 6, what is -153 + 221235? 221042 In base 12, what is -a8b + -9a8? -1877 In base 10, what is -7 + 428383? 428376 In base 10, what is 2 - 26460? -26458 In base 5, what is -3140433 + 2? -3140431 In base 10, what is 8033 + 319? 8352 In base 5, what is -1 + -13421330? -13421331 In base 2, what is 10 - 10000001110? -10000001100 In base 16, what is 1 + 1263f8? 1263f9 In base 8, what is 1007 - 250? 537 In base 16, what is 239 + -375? -13c In base 13, what is -1 - -104c5? 104c4 In base 16, what is -4 - 12032? -12036 In base 11, what is 39a - 7679? -728a In base 16, what is -a97 - 1? -a98 In base 7, what is -2 - 114640? -114642 In base 7, what is 1463 + -1645? -152 In base 13, what is -2 - 649b2? -649b4 In base 13, what is 5b - -647? 6a5 In base 13, what is -592b9 - 2? -592bb In base 5, what is 1 + -311400? -311344 In base 9, what is 52013 - 0? 52013 In base 10, what is -302 + -3320? -3622 In base 5, what is 1402012 + -313? 1401144 In base 5, what is 1 + -322443? -322442 In base 6, what is 244024 - 341? 243243 In base 3, what is 11110012101221 - 0? 11110012101221 In base 3, what is -21100 - 11221? -110021 In base 2, what is -100110001111100101 + -11? -100110001111101000 In base 11, what is 12 - 1245? -1233 In base 10, what is 4 + -109811? -109807 In base 4, what is -3 - -212003? 212000 In base 13, what is -429c4 - -4? -429c0 In base 2, what is -110000100 - -110111111? 111011 In base 5, what is -3 - 34341? -34344 In base 14, what is -2 - 3a268? -3a26a In base 16, what is -6 - c87? -c8d In base 2, what is 11011100100000 + 11? 11011100100011 In base 7, what is -315 + -6343? -6661 In base 12, what is -4 + 1092ab? 1092a7 In base 16, what is -2 + c036? c034 In base 9, what is -2761 + 843? -1817 In base 4, what is -1231120003 - 2? -1231120011 In base 2, what is 11110110100101011110 + -11? 11110110100101011011 In base 6, what is -1515230 + -3? -1515233 In base 13, what is 4 - 3276? -3272 In base 7, what is 325245 + 30? 325305 In base 15, what is -129 + -61d? -747 In base 12, what is 54287 - -2? 54289 In base 4, what is -330332 + -31? -331023 In base 7, what is 0 + -4136614? -4136614 In base 8, what is 1211355 - -2? 1211357 In base 11, what is 94a7 - -1? 94a8 In base 16, what is -454 + -268? -6bc In base 2, what is -10110110001 + -1010? -10110111011 In base 7, what is -1222610 - 15? -1222625 In base 4, what is 113020 + -11
{ "pile_set_name": "DM Mathematics" }
and give t. 8176 Rearrange -167*x**2 - 169*x**2 - 72*x - 174*x**2 + 211 - 174*x**2 + 686*x**2 to m + w*x**2 + k*x and give m. 211 Express (m**3 - 2*m**2 + 2*m**2)*(3 - 4 + 5) + (-420*m**2 - 38*m**2 - 793*m**2)*(4*m + 5*m - 4*m) as t + x*m + h*m**2 + g*m**3 and give g. -6251 Express (-16*f**2 + 171*f - 171*f)*(-14*f**2 + f + 11*f**2 - 7*f**2) as s*f**3 + a*f**4 + v*f + w*f**2 + h and give a. 160 Express -2585 + 1293 + 3805*i + 9007*i + 1292 as b*i + k and give b. 12812 Rearrange -7 - 411*a - a**4 + 211*a + 204*a to p*a**2 + y*a + z*a**3 + j + x*a**4 and give j. -7 Rearrange ((-5 - 2 - 1)*(8 + 0 - 4) - 4 + 3 + 3)*(3*v - 3 + 3 - 1 - 3*v + 1 + (4 - 4 + 2)*(2*v + v - 4*v)) to the form m*v + n and give m. 60 Express 14 - 8 + 490*p - 164*p in the form t*p + i and give t. 326 Rearrange -8*u**3 + 21 + 4*u**3 - 5*u - 59*u - 9 to n*u**2 + s*u**3 + d*u + t and give d. -64 Express (-6 + 4 - 8)*(-9 + r + r + 2)*(124*r**2 - 78*r**2 - 138*r**2) as z + l*r + i*r**2 + k*r**3 and give i. -6440 Express -1718*m - 4140*m**2 + 3437*m - 1719*m in the form u*m + x*m**2 + l and give x. -4140 Rearrange 20*o - 291 + 291 + (0 + 1 + 0)*((1 + 3 - 5)*(0 - 1 + 2) + 3 + 0 + 1)*(-o - 2 + 2)*(-4 - 3 - 4) to the form r*o + u and give r. 53 Rearrange (-7 - 9 - 1)*(-2*a + 0*a**2 + a**2 + 0*a**2)*(17*a + 4*a + 5*a) to the form f*a + n*a**2 + w + y*a**3 and give y. -442 Rearrange (-12*b**2 + 860*b + 11 - 860*b)*(-39*b**2 + 4 + 17*b**2 + 26*b**2) to the form a*b + j*b**2 + h + k*b**4 + n*b**3 and give h. 44 Rearrange -2*w**2 - 19996*w**4 - 2 - 16*w**3 + 19963*w**4 + 2*w**3 - 3*w**3 + w**2 to the form u*w**4 + h*w**2 + c + n*w + o*w**3 and give o. -17 Express -13344524*d**3 - 3*d**2 + 13344561*d**3 - 10*d - 4*d in the form s + t*d + f*d**3 + l*d**2 and give f. 37 Rearrange (p**2 - p**2 + p**2)*(-166 - 412*p + 166 - 1567*p)*(0 - 1 + 0) to i*p**2 + o*p + u*p**3 + b and give u. 1979 Express 49*l**4 + 36*l**4 - 86*l**4 + (3*l - 3*l - 2*l)*(-1 + 1 + l**3) - 3*l**4 + 11*l**4 + 3*l**4 in the form i*l**2 + a*l**3 + b*l**4 + q + g*l and give b. 8 Express -52*j + 6944*j**2 - 53*j + 185*j - 81*j in the form f*j + u + d*j**2 and give f. -1 Rearrange 48*g + 43*g - 11148 - 57*g - 35*g to the form b*g + c and give c. -11148 Rearrange y**2 + 10*y**3 + 8*y + 18*y**3 - 13*y - 2 - 4*y**3 to the form w*y + d*y**2 + m*y**3 + n and give m. 24 Rearrange -9923515*i + 9923515*i + 5428*i**2 to the form k*i**2 + a + q*i and give k. 5428 Rearrange -3*p + p + p + (3 - 2 + 1 + (-1 + 2 - 4)*(-5 + 5 + 1) + 1 - 3 + 4)*(3*p - 5*p + 0*p + (-169 - 452 + 135)*(p + 0*p + p)) to c + h*p and give h. -975 Rearrange 2644*o + 191529293 - 191529293 to the form g*o + x and give g. 2644 Express 281*u - 143*u + 163*u + (2 - 7 + 3)*(-10*u - 5*u - 2*u) in the form x*u + b and give x. 335 Express (-126*q - 143*q + 54*q)*(0*q - 5*q + 4*q + (-4 + 2 + 4)*(4 - q - 4) - q - 3*q + 3*q) as z + j*q + l*q**2 and give l. 860 Rearrange (1161 + 52 + 1051 + 859)*(-o - 2*o - 2*o) to the form b + p*o and give p. -15615 Rearrange (3*o**3 - 14*o**3 + 22*o**3)*(-9 + 4 - 10)*(-2 + 2 - 1) to the form p*o**3 + s*o**2 + x*o + c and give p. 165 Rearrange (-163*a**2 + 2*a**2 + 38*a**2)*(-2 + 1 - 2)*(-11 - 1 + 1) to s + u*a**2 + g*a and give u. -4059 Rearrange -443*c**2 + 198*c**2 - 580*c**2 + (-c**2 + c**2 + 2*c**2)*(-4 + 2 + 4) to the form o*c**2 + b + k*c and give o. -821 Express -y + 81*y**3 - 6398 + 7387 - 78*y**3 in the form o + f*y**3 + r*y**2 + n*y and give n. -1 Rearrange (-2*n - 2*n + 3*n)*(224405*n - 448802*n - 1339 + 224401*n) to the form r*n + t*n**2 + f and give t. -4 Express 550*m**2 - 6*m - 1257*m**2 + 638*m**2 - 73*m as v*m**2 + c*m + u and give u. 0 Rearrange (-75*t - 2 - 80*t + 135*t)*(261 - 376 - 1047) to the form c*t + b and give c. 23240 Express (-3*a + 2*a - a)*(2*a**2 - 3*a**2 - 2*a**2) - 9*a**3 - 53*a**3 - 8*a**3 + 12*a**3 - 18*a**3 + 13*a**3 as h*a**3 + f + z*a + j*a**2 and give h. -57 Express 621 + 5*r - 1258 + 624 - 77*r as l*r + w and give l. -72 Rearrange (-19*y - 29*y + 22*y + (-1 + 1 - 2)*(2*y - 2*y + y) - 2*y + y + 2*y + y + 0*y - 2*y)*(48*y - 42*y - 92*y) to the form n + h*y + a*y**2 and give h. 0 Express 1817*n**3 + 111*n**2 + 2*n - 7 + n - 1816*n**3 - 78*n**2 in the form m*n + k*n**3 + g + j*n**2 and give j. 33 Express 6*i**4 - 34*i**3 + 17*i**2 - 14*i**2 - 2*i**2 + 29 + 30*i**3 as a + v*i**2 + u*i**4 + p*i**3 + d*i and give p. -4 Rearrange (-57*a + 20189 - 1288*a - 20189)*(a + 1 - 1)*(-3*a + 4 - 4) to the form s*a**3 + o*a + u + x*a**2 and give x. 0 Rearrange -811*s + 621*s + 6 + 629*s - 16 to q*s + y and give y. -10 Express (w + 0*w + 0*w)*(-56 - 49 - 5320211*w**2 + 5320270*w**2) as v*w**3 + z*w + g + b*w**2 and give v. 59 Rearrange (-16*x - 5*x - 3 + 4)*(-11 + 22 - 5) to y + q*x and give y. 6 Express 28*g + 17377*g**2 - 17377*g**2 + 11280*g**3 - 30*g as j*g**2 + r + c*g + k*g**3 and give k. 11280 Rearrange 1579*y**2 + 6655*y**2 - 1980*y**2 + 3804*y**2 + 1725*y**2 to h + t*y**2 + l*y and give t. 11783 Rearrange 440*c + 420*c + 447*c - 75 - 1729*c + 448*c to x + g*c and give x. -75 Rearrange -210*t - 3*t**3 + 418*t + 8*t**3 - 179*t + 2*t**2 to l*t + n*t**2 + q + c*t**3 and give l. 29 Express 2*y + 12*y**3 - 4*y**3 + 4*y**3 - 1 - 26*y**2 + 14*y**2 + 6*y**2 in the form i*y + q*y**3 + p + d*y**2 and give i. 2 Rearrange (-10 - 20 - 20 + (-3 + 5 - 3)*(2 - 2 + 1))*(-3*f + 0 + 0 + (-2 - 3 + 3)*(16*f - 5*f + 9*f)) to the form o + p*f and give p. 2193 Express (-5 + 5 + 6*r)*(-204 + 203 - 57*r - 71*r) in the form z*r + t*r**2 + h and give z. -6 Express (299*y**3 + 15538*y**3 - 2715*y**3)*(1 - 3 - 3*y + 1) in the form n*y**2 + f*y**4 + q + s*y + h*y**3 and give h. -13122 Express (-1 + 5 - 1)*(344*m**3 + 63*m**4 - 62*m**4 - 416*m**3) as b + v*m + a*m**2 + u*m**4 + y*m**3 and give y. -216 Express -i**3 + 42*i**2 - 11765*i**4 - 44*i**2 + 11779*i**4 + 2 - 13*i as l*i**2 + k + j*i**3 + g*i + s*i**4 and give g. -13 Express (-3*u + 4*u - 4*u)*(-1 + 1 + 2*u) - u + 276*u**2 - 290*u**2 + 224*u**2 + 34*u in the form x + n*u**2 + s*u and give s. 33 Express -1262 - 918998*d + 918998*d - 3*d**2 + 4*d**2 in the form c*d**2 + j*d + n and give n. -1262 Express -12306*j + 12306*j - 5*j**4 - 1 - 15*j**4 - 27*j**3 in the form a*j**2 + x*j**3 + q*j**4 + m + k*j and give q. -20 Express 1 + 95872*f**2 - f + 95878*f**2 - 191755*f**2 - 2*f**3 + 33*f**4 in the form d*f + h*f**3 + u*f**4 + w*f**2 + j and give h. -2 Express (-8 + 8 + 9*d)*(-232*d - 52 + 52)*(-1 - 2*d - 2 - 2) as b + i*d**3 + n*d + k*d**2 and give k. 10440 Express 228*c - 96 - 230*c - 270 - 13 as g + p*c and give p. -2 Rearrange 1575*b**2 - b**3 - 3149*b**2 + 126*b + 1576*b**2 + (-2*b + 1 - 1)*(-1 + 2 - 4)*(4 - b**2 - 4) to v*b**2 + i*b**3 + s*b + w and give v. 2 Express 0*c + 50*c + 8455*c**4 + 4*c**2 - 5*c**3 - 8456*c**4 in the form l*c + t*c**2 + b*c**4 + s + m*c**3 and give b. -1 Express (2 - 5 + 2)*(2*i + 8*i - 6*i) + i - 5*i + 2*i + 7 - 252*i - 5 - 2 + 1513*i + 1753*i in the form p + s*i and give s. 3008 Rearrange -4172*u - 423*u - 4266*u + 2312*u to the form m*u + h and give m. -6549 Express -1285 - 308 - 2074 - 6*u**2 - 988 + 4*u**2 in the form s*u + c + z*u**2 and give z. -2 Express 25*j**3 + 0*j - 3*j + 11*j**2 + 47 - 50*j**3 + 24*j**3 + 5*j as a + d*j + b*j**3 + p*j**2 and give p. 11 Express (-6 + 0 + 2)*(0*t + t + t)*(3197 + 2972 + 669 - 2431 + 2531) as x*t + m and give x. -55504 Rearrange -3870*b + 100 - 169 + 69 to the form k + o*b and give o. -3870 Express 445908*d - 445908*d - 821*d**2 + (-1 + 1 - 2*d)*(0 + 0 - 7*d) - d**2 - 5*d**2 - d**2 as y*d**2 + h + q*d and give y. -814 Express (-8*r**2 - 29*r**2 + 0*r**2)*(1414 + 9*r - 1414) + r**3 + 2*r**3 - r**3 + 3*r**3 - 2*r**3 - 3*r**3 in the form l*r + b*r**3 + a*r**2 + k and give l. 0 Express 0*n**3 + 24*n**2 - 13*n**2 + 239 - 237 + 5*n**3 in the form f + w*n**3 + p*n + k*n**2 and give w. 5 Rearrange o**4 + 7 - 284*o - 344*o + 613*o - 11*o**3 to t*o**2 + v*o**4 + z*o**3 + p + b*o and give b. -15 Rearrange 15*u**2 + 570*u**2 + 423*u**2 + 221*u**2 + 616*u**2 to the form j*u**2 + x*u + b and give j. 1845 Rearrange 8*s**4 - 31*s**3 + 3 - 181*s - 30*s**4 + 181*s to the form n + k*s + f*s**4 + w*s**3 + p*s**2 and give n. 3 Rearrange (-2*b + 4*b - 3*b)*(2*b - b + b) - 89*b**2 - 9176 - 31*b**2 + 9182 to the form m*b**2 + f*b + t and giv
{ "pile_set_name": "DM Mathematics" }
7 + b. What is the nearest to -2/7 in p, i, -1/7? i Let h = 10014 + -50074/5. Which is the closest to h? (a) -0.03 (b) 15 (c) 2 a Let q(x) = x**3 - 4*x + 4. Let v be q(4). Let r be v*2/28 - 4. Let j = 1 - -2. Which is the nearest to 2/9? (a) -5 (b) r (c) j b Let f = -10472 + 10472.5. Let i = 4828/23 + -210. Which is the nearest to i? (a) 3 (b) -4 (c) f c Let l = -36 - -35.9. Let m = 0.19 + l. Let f = -0.01 - m. Which is the closest to 0.1? (a) f (b) -4 (c) 1 a Let o(b) = 110*b - 3595. Let k be o(33). What is the closest to 2 in -1/4, 1/2, k, -4? 1/2 Let n be ((-37)/(-5) - 8) + (-42)/(-70). Which is the closest to n? (a) 0.16 (b) -1/6 (c) 0.1 (d) -20 c Let g = 5969 + -5970. Suppose -4*b - 347 = 49. Let i be g - (4/(-10) + b/(-135)). What is the nearest to 3 in i, 4, 2/11? 4 Suppose 0 = -18*x - 121*x + 24*x + 230. Which is the nearest to x? (a) -3/29 (b) -3 (c) 2 c Let s be ((-460)/30 - (-1 + -13))*3/14. What is the closest to s in 3.4, 0, -8? 0 Let p(j) = -106*j - 953. Let r be p(-9). What is the nearest to r in 9/7, -0.4, -3? 9/7 Suppose 0 = 8*k + 1166 + 1466. Let l = -330 - k. What is the nearest to -1 in 5, l, -8? l Let r = -6855 + 6873. What is the closest to -0.3 in r, 2/13, -2/17? -2/17 Let x be (-6*16/(-12))/(-2)*(-5)/(-20). Which is the closest to -3? (a) x (b) -7 (c) 0.1 (d) 0.2 a Suppose 0*h + 68 = -17*h - 0*h. Which is the closest to 1/2? (a) 3/2 (b) h (c) -0.1 (d) -12.5 c Let q = -1/3485 + 10463/27880. Which is the closest to -1/3? (a) 0.1 (b) -1/5 (c) -0.02 (d) q b Let s = 0.2 - -0.3. Let j = -5.7 + 6. Let q = -45250.4 - -45250.4. What is the nearest to -1 in j, q, s? q Let f = -1.8643 + 1.5643. Which is the closest to -1? (a) f (b) 184/5 (c) 0 a Suppose 9*s - 3*s + 3*y = 36, -3*s + 3*y + 9 = 0. Which is the nearest to -4? (a) -3/7 (b) 0.1 (c) s (d) -3 d Let f = -455 - -454. Let q = 34.9 - 37. Let t = 2.2 + q. Which is the nearest to f? (a) t (b) 0 (c) -0.23 c Let v = 1448.9 + -1421.9. What is the nearest to 0.05 in -1/15, 0, v? 0 Let b be 10/(-5)*-2*6/(-228). Suppose 2*m = 2*a - 20, 5 = -4*m - 0*a - 3*a. What is the nearest to 1/2 in 1/8, 0.3, m, b? 0.3 Suppose -j = 2, -654 = -3*q + 8*q - 3*j. Let z be 5*(-5 - q/30). Which is the nearest to 0? (a) z (b) -0.1 (c) -4 b Let h = 2345.5 + -2345.1. What is the closest to -5689 in -2, h, -2/7? -2 Suppose h = -2*s - 4, 5*s - 28 = 2*h - 2. Let x be (0 - (-1 - 5)) + h. Suppose 2*w = 3*w + 2. Which is the nearest to w? (a) -1.1 (b) -2/7 (c) x c Let v be ((-8)/(-30))/(232/(-174)). What is the nearest to v in -3, 29, 0, 4? 0 Suppose -5*z - 9 = 4*b, -5*z - 30*b - 13 = -27*b. Let s = -1.2 + 7.2. Let x = s - 5.9. What is the nearest to x in 4, z, -1? -1 Let q = -3 + 3.1. Let t = 860.03 - 873. Let f = 0.03 - t. What is the nearest to q in -1/5, f, 1/6? 1/6 Let z = 0.6407 + -0.6407. What is the closest to z in 0.3, -66, 0, 0.4? 0 Let u = 425 + -425. Suppose -21*a = -5*a + 16. What is the nearest to u in 0.4, -3, -1/11, a? -1/11 Let k be 11454/(-28) - 4/(-7). Let o = 408 + k. What is the nearest to o in 2/13, -2/9, 4? -2/9 Suppose -2*v - 3 - 9 = 0. Let n be 28 + -29 - 8/v. What is the closest to 0 in -6, n, 0.2? 0.2 Let t = 4/33 - 9062/165. Let x = t - -3009/55. What is the nearest to -2/3 in 0.3, 3, 41, x? x Let j = -3.51 - -3.667. Let w = -0.257 + j. Let z = 2 - 1.9. Which is the closest to z? (a) 5 (b) 9 (c) w c Let r(y) = 2*y**2 - 2. Let c be (-4)/14 + 14/49. Let s be r(c). Let f = 0.97 - -0.03. What is the closest to -2/3 in s, f, -0.5? -0.5 Let m be 1*-2*2/4. Let f = -125307 - -125310. Which is the nearest to 2? (a) 2/15 (b) m (c) 0.5 (d) f d Let f be 4/(-10 - (-130)/15). What is the nearest to f in -4, -0.5, -0.014? -4 Let w = 248 - 247. Suppose s - i - 269 = 0, 0 = -0*s - 5*s - 5*i + 1295. Let f be 4/(-6) + 320/s. Which is the nearest to w? (a) 1 (b) -1/4 (c) f a Let j = -16 + 11. Let o = -4879 - -4879. Which is the nearest to o? (a) j (b) -15 (c) -2 c Let y = -0.1 + -0.1. Suppose -5*x - 20 = -4*q, -2*q + x + 4 = -0. Let v = 61389/111760 - 39/10160. Which is the closest to -4/9? (a) y (b) q (c) v a Let y be (-1)/(2/(-4)) - 3. Let v = -1.0957 - 18.9043. Let z = 8/11 - 46/33. Which is the nearest to y? (a) -2/19 (b) z (c) v b Let n = -0.1279 + 2.1279. Let t = 232 - 227. What is the closest to n in 2/49, t, 4/3? 4/3 Let d = 930 - 2789/3. Let a = 0.17 - 0.2. Let n = a - 0.27. What is the closest to 1 in d, 3, n? d Let q = -11 + 16. Let b = -0.034 - -0.324. Let k = 0.39 - b. What is the nearest to k in q, 3, -1/6? -1/6 Let r = -133 - -261/2. Let f = -19444 + 19442. Which is the nearest to f? (a) r (b) -2 (c) -2/5 b Let g = 2.609 + -2.409. What is the closest to -2/7 in -22, g, 1/4? g Let h = -1663/45 - -187/5. Which is the nearest to 0.1? (a) 1/7 (b) 3 (c) h a Suppose -3*s + 11 - 18 = v, -3*v + 5*s - 7 = 0. Which is the nearest to -3/10? (a) 2 (b) v (c) -2 (d) -34/5 c Let j(m) = m**2 - 63. Let v(s) = -2*s - 36. Let u be v(-14). Let o be j(u). What is the nearest to 0.1 in -1.1, 0.2, o? 0.2 Let i = 2.01 + -0.01. Let o = 1524 + -968. Let m = 559 - o. Which is the nearest to i? (a) -1/4 (b) m (c) -0.3 b Let x be (-10)/45 - (-238)/(-63). Which is the nearest to 1? (a) -5 (b) -0.8 (c) x (d) -6 b Let l = 1677 - 1630. Which is the closest to -0.08? (a) 0.4 (b) -2 (c) -5 (d) l a Let q = -3/332 - 643/2324. Which is the closest to 4? (a) 35 (b) q (c) -2 (d) -1/3 b Let o = -12.816 + 13.616. Which is the nearest to -2? (a) -18 (b) -10 (c) o c Let k = -39.388 + -0.012. Let q = -35.4 - k. Let f = 3 + -1. Which is the closest to f? (a) -2/7 (b) q (c) 2 c Let y = 347.5 + -208. Let o = 139 - y. Let v = -0.05 - 0.95. What is the closest to -0.1 in -1/9, o, v? -1/9 Suppose -3 = -3*y + 6. Suppose 4*n = 3*o + 83, 84*o - 83*o = 4*n - 73. Which is the nearest to n? (a) -0.3 (b) -0.5 (c) y (d) 0 c Let j = -78189 - -78190. Let h = 0.5 + -1.5. Let y = -2 - h. Which is the closest to y? (a) -1 (b) 4 (c) j a Let z = 1332 - 62606/47. What is the nearest to 0.13 in 5, -1/4, z, 4? z Let d = 329/492 - 1/492. Let s = -7 + 6.6. Let u = 0.055 + -0.355. Which is the nearest to d? (a) 0.2 (b) s (c) u a Let q be 14/63 - (-26)/(-90). Which is the closest to q? (a) 0.3 (b) 0 (c) 2 (d) 2/7 b Let m be 5265/(-375) - 210/(-15). Which is the nearest to m? (a) -1/4 (b) -2 (c) 0 (d) 3 c Let u = -23.1 - -23. Suppose -2*c - 2*v + 10 = 0, -3*c = 4*v + v - 25. What is the closest to 0 in c, u, 0.01? c Let b be (-1001)/140 + 6 + (6 - (-138)/(-30)). What is the closest to -1/3 in b, -3, 16? b Let x = -4718 - -4719. Which is the nearest to x? (a) 0.2 (b) 1 (c) 18 b Let i = -1520 + 1519.9. Suppose 3*v = v - 2*f - 2, 5 = -2*v - 3*f. Let r be v - -1*48/(-28). Which is the closest to i? (a) 0.17 (b) r (c) -0.1 c Let d(y) = 6*y**2 + 34*y + 89. Suppose -9*f = 28 - 1. Let z be d(f). What is the nearest to z in -2, 5/2, -1/4? 5/2 Suppose -19 = -7*l + 16. Let t = -58 - -57. What is the nearest to 0.1 in t, l, -0.4? -0.4 Let x = 122 - 72. Let i = -44.8 + -0.2. Let d = x + i. What is the nearest to -1 in 3, d, -2/7? -2/7 Let q = 385.5 - 386. Let m = -954 + 975. Which is the nearest to 1? (a) 7 (b) m (c) q c Let w be 2/(24/4 + -76). Let b = -4820903/105 + 45913. Let p = w - b. What is the nearest to 1 in 0, p, 1? 1 Let r = 7481 - 7480.87. What is the closest to 3/5 in 0.2, r, 2? 0.2 Let r = 2.29 - -54.21. Let y = 66.5 - 10.5. Let q = r - y. Which is the closest to 1/2? (a) 3/5 (b) q (c) -3 b Let g = -73196/3 - -24399. Which is the nearest to 1? (a) -4 (b) 15 (c) -6 (d) g d Let w be 21/6*(30/126*-33 + 8). Which is the closest to -0.1? (a) -269 (b) w (c) -3 b Let r = 63.68 + -64.68. Which is the nearest to r? (a) 1/6 (b) 15 (c) 3/2 a Let q = -11.911 + 43.911. What is the nearest to q in 0.4, -0.6, 0.1? 0.4 Suppose -2*z - 71 = -179. Let t be 9/(z/42) - 11. Which is the closest to 1/6? (a) -2/7 (b) t (c) 2/9 c Let o = 2.285 - 2.585. What is the nearest to -0.76 in -1/2, 2/3, o, 1/4? -1/2 Let s = 0.4 + -0.5. Let l = 500.1 + -498.6. What is the nearest to l in -3, s, -1/2? s Let r be (-15)/315 + (-4)/14. Let v be (-180)/(-54) - 4/1. Which is the nearest to r? (a) v (b) -2/5 (c) -0.237 b Let j = 8 + -10. Let h be j*(-12)/(
{ "pile_set_name": "DM Mathematics" }
+ 7 = 1 for z. 5 Let j(x) = x**2 + 3*x - 13. Let f be j(-6). Solve f*t = -2*i - 22, -5*i = -i + 4*t + 20 for i. -1 Suppose 6*b = -5*b + 99. Solve 4*w - b*w + 20 = -5*m, 3*w = 5*m + 22 for m. -5 Let h(s) = s**2 + 4*s + 4. Let w be h(-4). Suppose -w = -g - 1. Solve 4*u + 16 + 13 = -g*y, -3 = 3*u - 4*y for u. -5 Let b = 89 - 54. Suppose 210*w - 2 = 209*w. Let h be 0/(2 + -4 + 1). Solve -4*v - 5*r = b, -w*r - 1 + h = -v for v. -5 Let a(n) = -n**2 + 5*n + 2. Let h be a(0). Solve 0 = 5*t - h*o - 19, 3*o + 5 + 16 = 5*t for t. 3 Let f be (-354)/(-42) - (-3)/(-7). Let n be ((-12)/f)/((-3)/8). Solve 3*h - 2 = -t - 9, n*h = 2*t - 16 for t. 2 Let s = -105 + 110. Solve -s*c + 9 = 2*t, 2*c + 2 + 2 = 3*t for c. 1 Suppose -2*g = -4 - 4. Suppose -2*h - g*j - 10 = 0, -5*h - 7 = 3*j + 4. Let q = h - -4. Solve -3 = -2*i + q, 4*z + 3*i = 9 for z. 0 Let n(q) = q**3 - 7*q**2 + 5*q + 8. Let i be n(6). Let r be -9*(-4)/(-36)*-2. Solve 0 = 4*y - i*y - r*a - 12, -16 = -4*y - 4*a for y. 5 Let t = 2 - -3. Suppose 0 = 2*y + 3*y - 5*g - 15, 5*y - g = 27. Solve -4*j - 18 = 2*n, -5*n + y = -t*j - 9 for j. -4 Let z = 32 - 30. Solve -z = -2*r + 3*i - 2*i, -5*i = 4*r + 10 for r. 0 Let s(t) = -t**2 - 5*t - 1. Let r be s(-4). Suppose 2*i + 10 = 3*z, -4*z + 2 = -r*i - 13. Solve 3*k + 6 = 0, z*o - 3*o + 4*k = -2 for o. -2 Suppose -6 = -a - 4. Solve 5*f + 5*l = 20, a*l - 1 = -f + 2 for f. 5 Suppose -4*o + 3*j + 0*j = -26, -14 = -2*o + 2*j. Solve -2*k = -4*v + 5 + 3, 2*v - 4 = o*k for v. 2 Suppose -5*y - 26 + 86 = 0. Suppose -a - 8 = -5*a. Suppose -4*j + a*j = -5*l + 24, -6 = -4*l - 5*j. Solve -y = 3*i - u, 8*u = -i + 4*u - l for i. -4 Let i(f) be the second derivative of f**4/4 + f**3/3 - f**2/2 - 5*f. Let p be i(1). Solve -5*d = 5*l, 5*l = d - p*d + 6 for d. -3 Let v = 15 - 15. Solve -i + 2*d - 6 = v, -3*d + 6 = -0*i - 3*i for i. 2 Suppose 5*h - 83 = 22. Suppose h = 2*k + 5*k. Solve 3*w + 5*g = -29, -w = -k*w - 2*g - 14 for w. -3 Let x be 0 + (0 - (-1 - -3)). Suppose -2*i = 3*n - 27, -4*i - 3 = n - 22. Let a = x + n. Solve -k + 3 = -2*w - 10, -w - a*k = -21 for w. -4 Let k = -9 + 15. Let z = k + -10. Let q = z + 9. Solve -5*a + 5 = -g - g, -4*a = q*g - 4 for g. 0 Let c be 4/16 + 3/4. Suppose -j + 1 + c = 0. Solve 2*r + j*d + 10 = 0, -r + 0*d = -4*d for r. -4 Let u be -4 + -4 - (0 - 2). Let z = 11 + u. Suppose 5*o + 26 = 3*w, -4*w = -z*o - 13 - 25. Solve 0 = -4*q + 2*j + w, 3*q + 4*j = 2*j + 2 for q. 2 Let t be (-5)/((-20)/18)*2. Suppose -4*b + 18 = -3*b - 3*y, -3*y = 2*b - 54. Solve -4*i = 4*k + b, -t = 3*i + 4*k + 12 for i. -3 Suppose 2 = k - 3. Solve u = 3*b + 16, -6*b - k*u = -b + 20 for b. -5 Suppose -i - 2*z + 38 = -7*z, -3*i = 5*z - 14. Solve o + 2*y = 0, 3 = -5*y + i for o. -4 Let s(l) = l**2 + 2*l + 2. Let f be s(-3). Let r be (0 - 0)/(f - 3). Let i be 1 + (-2 + r - -5). Solve -i*m + 4*v - 8 = 0, -5*m + 3*v = 4*v - 2 for m. 0 Let x = -3 + 10. Solve -2*h + 7 = -x*h + s, -17 = h + 5*s for h. -2 Let b(w) = w**3 - 7*w**2 + 4*w + 7. Let p be b(6). Let y = p + 9. Solve 0*n - 2*n = 5*q - y, 3*q + 3*n + 3 = 0 for q. 2 Suppose 0*w + 8 = 2*w. Suppose 30 + 0 = 5*r. Solve 0 = 4*j - 4*q - w, -r*j - 35 = -j + 5*q for j. -3 Suppose 0 = -3*b - 3 - 12. Let a(g) = g + 9. Let m be a(b). Solve -f - m*k - 14 = 0, 2*k = f + 1 - 5 for f. -2 Let j = -13 - -15. Suppose 3*m - 12 = j*f - f, 0 = m - 2*f - 4. Solve 5*i = -5*a + 5, m*a - 11 - 17 = 4*i for i. -3 Let j(n) = n**3 + 9*n**2 - 2*n - 15. Let m be j(-9). Solve -m*s + 5*s + u - 4 = 0, 24 = 5*s - u for s. 4 Suppose s + 5*t - 5 - 4 = 0, 5*s + 3*t - 23 = 0. Solve -4*q - 18 = s*n - 2*q, -4*q - 3 = -3*n for n. -3 Let t(s) = 6*s - 2. Let d(k) = -13*k + 5. Let x(m) = -3*d(m) - 7*t(m). Let p be x(-1). Solve -20 = -5*f + a, 3*f - 2*a = -p*f + 20 for f. 4 Suppose -3*c + 0*c + 9 = 0. Suppose 0 = -v + 2*v - 3. Suppose 0*d = v*d - 3*g - 21, -3*d + g = -31. Solve 4*f = -0*f + 5*s + d, -c*f + s + 9 = 0 for f. 3 Let t(j) = j**2 + 8*j + 8. Let f be 129/(-9) - (-3)/9. Let r be f/1*(-6)/(-12). Let z be t(r). Solve -2*k + d - 5 = 0, -z = -4*k + d - 12 for k. -3 Suppose -2*b = -3*n + 12, -4*n + 3*n - 2*b = -4. Let r = 28 + -26. Solve -3*f - n*u = 11, r*f - 23 = 7*f + 2*u for f. -5 Let j = -398 + 403. Let v be 1/(-2*(-1)/4). Solve 3*x - v*x - 20 = 5*w, 0 = -w + j*x + 20 for w. -5 Suppose 4 = 5*t - 6. Solve -5*q + 0 = u + 6, 5*q = 3*u - t for q. -1 Suppose i + 3*r + 37 = 6*i, 4*r + 1 = -3*i. Suppose 6*b - b = 20. Suppose 5*l - 15 = 0, 3*p - 5*p + 16 = b*l. Solve 5*v = 2*y - 7, -4*y + 3*v - i - p = 0 for y. -4 Suppose 4*g - 7*g = 3*g. Solve g = a + 4*y + 24, 4*a + 41 = -7*y + 2*y for a. -4 Let i = -4 + 0. Let o = i - -7. Solve z - 5*c = -18, -o = 4*z + 2*c + c for z. -3 Let z = 41 + -28. Solve -8*f - 3*g = -3*f + z, f - 15 = -5*g for f. -5 Suppose 0 = c + 7 - 11. Solve -c*a + 5*y + 19 = 0, -2*a + 5*y + 5 = 4*y for a. 1 Let d be 5/(10/12) - 0. Solve -3*l + 0 + d = -3*b, -3*b = 3*l + 12 for b. -3 Let q be 3/(-2) - (-45)/10. Solve -3*v + 0*y = -5*y - 9, -v + y = -q for v. 3 Let c be 0 - (-11 - (1 - 2)). Let i = c - 7. Suppose -q - f - 8 = -i, -5*q = 2*f + 10. Solve y - 5*p = 0, y + p + q = 6 for y. 5 Suppose i + 3*h = 2 + 15, -4*i - 12 = -4*h. Solve -l - 2*v - i = -0*l, 0 = -3*l + 2*v - 14 for l. -4 Suppose -5*i + 30 = 5. Solve 13 = -4*o + 3*n - 18, i*o = -4*n for o. -4 Suppose 4*k - 15 = 1. Solve -2*z + k*q + 2 = 0, -2*q - q = -5*z - 9 for z. -3 Let q(k) = -k**3 + 8*k**2 + 2*k - 12. Let f be q(8). Let a(l) = l + 10. Let x be a(-7). Solve -b + f*s - 20 = 0, x = 5*s - 22 for b. 0 Suppose 4*l - 1 = 3*l. Let u = 1 - l. Solve -5*k - 9 = d, u*k = 2*d - 3*k + 5 for d. -4 Let l(p) = -2*p + 3. Suppose w - 2 = 2*w - a, a + 28 = -4*w. Let x be l(w). Solve -4*m + m - 7 = t, -3*t + x = -3*m for m. -3 Suppose 8*k - 3*l = 3*k + 19, -2*k - 5*l - 11 = 0. Suppose 7 - 2 = 5*o. Suppose -n = 3*h, n + 5*h - o = -n. Solve -3*x = k*v + 1, -2*v + n*x - 9 = -26 for v. 4 Let n(q) = -q**2 - q + 2. Let a be n(0). Suppose 2*j - 27 = -5*s, 0*s = -a*s + 4*j + 6. Solve -6*l - 2*f = -l + 35, s*f = -4*l - 45 for l. -5 Let l = -7 + 13. Let a = l + -3. Let q be ((-2)/a)/((-4)/78). Solve -3*b + 2*k = q, 4*k = 5*b - 0*k + 25 for b. -1 Suppose 0*b = -b - 2*w, 5*w - 60 = 5*b. Let h be (b/6)/((-6)/9). Solve -h*p + 2*a = -3*a - 19, -a - 3 = 0 for p. 2 Let p(a) = -7 + 7*a + 1 + a**2 - 4*a. Let q be p(-5). Suppose 2 = -3*n + q*u, 4*u - 5 = -5*n + 13. Solve -3 = 5*t - n*t, z - t = 1 for z. 0 Let o = 34 - 22. Let y = o - 9. Solve 0*j + 5*j - y*d = -9, -5*d = 4*j - 15 for j. 0 Let g be (-57)/(-21) - ((-12)/14)/3. Solve -5*i = 10, 2*i = -z + g*i + 7 for z. 5 Suppose f + 2 = -f, -3*f - 7 = -4*g. Let x be g*(2 - 0) - 1. Suppose -x - 5 = -2*z. Solve -3*r + z*b + 1 = -r, -3*b = 5*r + 29 for r. -4 Let z = -2 - -2. Let f be (3/(-6))/(1/(-6)). Let t(i) = i**3 + 2*i**2 + 6*i + 4. Let b be t(0). Solve z = -h - f*m + 12, 0 = -b*m + 6*m - 6 for h. 3 Let f = 8 - 26. Let d = f + 38. Let m = 35 - d. Solve -5*p + x + m = 0, p + 4*x + 4 + 14 = 0 for p. 2 Suppose -2*n = 2 - 6. Solve 0 = 5*f - 3*i - 28, -n*i - 7 = -2*f + 5 for f. 5 Let i(w) = -3*w + 11. Let b be i(4). Suppose r = -3*r, 10 = m + 4*r. Let x be 3*(m/6 + b). Solve -2*z + 3 + 30 = -5*t, z - x*t = 14 for z. 4 Let t(r) = 2*r - 2. Let o be t(13). Solve -5*n - 9 = 3*a + 5, 4*n + o = 4*a for a. 2 Suppose -208 = 4*q + 4*h, -h = 2*q + 71 + 33. Let i be q/(-14) + 4/14. Solve 3*d + 4*z = -8, -3*d = z + i*z + 13 for d. 4 Let s = -139 + 142. Solve -s*b - 3 = -4*u - 6*b, 4*u - 2*b = -2 for u. 0 Let d = -602 - -604. Suppose 5*a + 50 = 5*m, 2*m = -m - 5*a + 38. Solve d*x + 3 = 5*v, 4*x - 4*v - v = -m for x. -4 Suppose s + s - 5*p - 13 = 0, p - 15 = -4*s. Let q(m) = -m**3 + 4*m**2 + 6*m - 1. Let a be q(5). Solve 2*i + 13 = -j - s*j, 3*j = a*i - 13 for j. -3 Suppose 3*b + 35 = -16. Let v = 21 + b. Solve 0 = -5*c + 2*a - 0 - 26, 0 = v*a - 12 for c. -4 Let n(b) = 3*b - 4. Let v be n(3). Solve g - 3 + 19 = -v*i, -i + 1 = -4*g for i. -3 Suppose -2*z = 4*w - 28, -3*z + 10 = -8*z. Let q = 1 + w. Solve 0 = -y + 4*k - 9, q = -2*y + 4*k - 5 for y. -5 Suppose 26 = -j + w + 80, w + 2 = 0. Let b be 2/(-8) + j/16. Solve -b*p - 12 = m, 6 = 5*p - 2*p - 5*m for p. -3 Let p = -13 + 1. Let i be 8/p + (-4)/(-6). Solve -a + 18 = -5*s - 4*a, -2*s - 5*a - 11 = i for s. -3 Suppose -30 = -5*h + 5*o, -o - 5 -
{ "pile_set_name": "DM Mathematics" }
i = -o*i + 9. What is the units digit of i? 3 Let k(x) = x - 9. Let c be k(11). Suppose 4*m - 25 = 5*q, -q + 15 = m + c. What is the tens digit of m? 1 Let c(j) = -j**2 + 10*j + 6. Let v be c(10). Let x = -2 - v. Let h = -5 - x. What is the units digit of h? 3 Let x be (-1)/(-1 - 0) + 0. Suppose -8 = -s - x. What is the units digit of s? 7 Let t be (1/(-3))/(4/84). Let i(f) = f + 15. Let j(h) = 1. Let z(w) = i(w) - 6*j(w). What is the units digit of z(t)? 2 Let m = 14 + -4. Let x = -1 + m. What is the units digit of x? 9 Suppose b = 3*n - 109, 4*n + 0*b - 2*b - 148 = 0. What is the tens digit of n? 3 Let h = 168 + -113. What is the tens digit of h? 5 Let l(p) = 140*p**2 - 5*p - 6. What is the units digit of l(-1)? 9 Let d = -24 - -10. Let u = 2 - d. What is the tens digit of u? 1 Let b(d) = -12*d**2 + d - 2. Let n be b(1). Let c = -3 - n. What is the units digit of c? 0 Let t(c) = c**3 - 8*c**2 + 8*c + 1. Let z be (2 - 4)/(0 - -1). Let a(k) = 3*k**2 + 4*k + 3. Let g be a(z). What is the units digit of t(g)? 8 Suppose -2*h - 5*q = 3*h - 135, 17 = h - 4*q. What is the tens digit of h? 2 Suppose 4*r = -2*f + 82, -4*f + 4*r + 164 = 3*r. Suppose -3*g + 28 = -f. Let q = -14 + g. What is the units digit of q? 9 Suppose 2 + 1 = -3*q, -4*y + 2*q + 1046 = 0. What is the tens digit of y? 6 Suppose 4*d + 4 = 2*u, 4*u = 2*d - 0*d + 8. Suppose -5*i + 102 = 2*o - d*i, -153 = -3*o - 4*i. What is the units digit of o? 1 Suppose -3*b + a = -1, 2*b = 2*a - 5 - 1. Suppose -b*s = 3*s + 30. Let g(q) = -q + 1. What is the units digit of g(s)? 7 Let q = -2 - -28. What is the tens digit of q? 2 Let b(j) = 35*j - 19. What is the units digit of b(3)? 6 Let p(f) = -f**3 + 7*f**2 - 2*f - 8. Let y be p(4). Let l = y + -11. What is the units digit of l? 1 Let g = -2 - 0. Let j = 2 - g. Suppose p - 34 = -j*k, -k + 3*p = -3 + 1. What is the units digit of k? 8 Suppose 5*a - 512 = -4*c, 5*c + 64 = -a + 158. What is the tens digit of a? 0 Suppose -f - 1 = -4. Let w(l) = 4*l - 3. What is the units digit of w(f)? 9 Let y = 27 + 18. What is the units digit of y? 5 Let w(t) = t**2 + 16*t - 6. Let f be w(-16). What is the units digit of ((-4)/(-2))/((-3)/f)? 4 Suppose -2*p = -p - 22. What is the units digit of p? 2 Let v(c) = -c**3 - 8*c**2 - 8*c + 6. Suppose -5*x = 11 + 24. Let b be v(x). Let q = b - 7. What is the units digit of q? 6 Suppose -a + 5*x = x + 14, 16 = 4*x. Let o be 33/4 - a/8. Suppose j - 6*j - 19 = -4*c, c + 2*j = o. What is the units digit of c? 6 What is the hundreds digit of (1/3 - (-1660)/15)/1? 1 Suppose -1 + 10 = -3*d. Suppose 7 = -4*b + 19. Let y = b - d. What is the units digit of y? 6 What is the units digit of 954/24 + (-2)/(-8)? 0 Let a be ((-34)/(-8))/((-3)/12). Let n = a - -24. Suppose -3*y + 2*r = -49, y - 15 = -5*r + n. What is the units digit of y? 7 Let s = -32 - -70. What is the units digit of s? 8 Suppose 0 = -4*c + 37 + 35. What is the units digit of c? 8 Let v(q) = q**3 - q**2 + q + 1. Let m(p) = 2*p**3 + 4*p**2 - 5*p. Let t(n) = m(n) + 2*v(n). What is the units digit of t(2)? 6 Let a be (-2 - -1)*(-4 - 2). Suppose -v = -a*v + 35. What is the units digit of v? 7 Suppose 4*t = 2*y + 288, -3*t + 3*y = -25 - 191. What is the tens digit of t? 7 Let f(j) = -j + 10. Let o(d) = d**2 - 13*d + 7. Let l be o(13). What is the units digit of f(l)? 3 Let d = 70 + -47. What is the units digit of d? 3 Suppose 19 = -4*m + b, 0*b + 2*b + 40 = -5*m. Let v(d) = d**3 + 6*d**2 - d - 5. What is the units digit of v(m)? 1 Let c(r) = -4*r - 2. Let h be c(-5). Let v = h + -11. Let p = 1 + v. What is the units digit of p? 8 Suppose -d - 4*d + 1155 = 0. What is the tens digit of d? 3 Let v(l) = -3*l**2 - 2 + 6*l + 11*l**2 - l + l**3. Let c be v(-6). Suppose 4*q + c = 5*g, -3*g - 6*q = -q - 24. What is the units digit of g? 8 Suppose 700 + 1230 = 5*r. What is the units digit of r? 6 Let l(t) = -t - 2. Let m be l(-2). Suppose -3 = -m*g - g. What is the units digit of (g - (-10)/(-4))*4? 2 Suppose 1 - 5 = -2*q. Suppose q*n - 2 = 3*n. What is the units digit of (-2)/(7/(-3) - n)? 6 What is the tens digit of (-3 - (1 - 1)) + -1 + 225? 2 Suppose 0 = -g - g - 10. What is the units digit of (0 - -2)/((-2)/g)? 5 Suppose -5*g + 0*g = -35. Let q(c) = c - 4. What is the units digit of q(g)? 3 Let q(o) = -o**3 + 6*o**2 + 3*o + 4. Let d be q(6). What is the units digit of (-480)/(-22) + 4/d? 2 Suppose 2*q + 4 + 10 = 0. Let z = q + 27. What is the units digit of 4/z - 88/(-10)? 9 Let v = 15 + -37. Let w = 35 + v. What is the tens digit of w? 1 Let f(l) = 7*l**3 - 1. Let n(t) = -t**3 + t + 3. Let g be n(0). Suppose g*i - 2 - 9 = -5*d, 2 = -4*d + 3*i. What is the units digit of f(d)? 6 Suppose 7 = -l + 2*l. Suppose 5 = j - l. What is the units digit of j? 2 Let x(q) = q**2 + 9*q + 6. Let b be x(-9). Let r = b + -3. Suppose 30 = 2*v - 4*t, 4*v + 10 - 37 = -r*t. What is the units digit of v? 9 Let l be -2*(-3)/(-12)*20. Let r = 14 - l. What is the units digit of r? 4 Let c(t) = t**3 + 2*t**2 - 7*t - 4. What is the units digit of c(-3)? 8 Let v = 26 - 7. What is the units digit of v? 9 Let a(p) = 2*p**2 + 2*p - 1. Let c(g) = g**2 + 7*g - 2. Suppose 2*h - 4*h - 14 = 0. Let j be c(h). What is the units digit of a(j)? 3 Let i = -3 - -12. What is the units digit of i? 9 Let u(o) = -o**2 - 6*o - 2. Let l be u(-5). Suppose 35 = 3*j + 11. What is the units digit of j + (0 - (l + -2))? 7 Let d(s) = 4 - 3 + 1 - 6 + 5*s. What is the units digit of d(7)? 1 Let s(v) = v**2 - 10*v - 15. What is the units digit of s(12)? 9 Let s = -5 - -8. Suppose 0 = -s*n - 0*g + g - 8, -2 = n - g. Let d = n - -8. What is the units digit of d? 5 Suppose v - 2*m - 4 = 0, v + 4 = -3*v - 2*m. Suppose v = 2*p + 3 - 31. What is the units digit of p? 4 Let c(d) be the third derivative of d**6/60 - d**5/20 - d**4/6 - d**3/2 + 3*d**2. Let h be c(-2). Let w = -13 - h. What is the units digit of w? 0 Let k(n) = -n**2 + 18*n + 3. What is the tens digit of k(15)? 4 Suppose -3*g - g = 0. Suppose 4*c - 72 = -g*c. What is the units digit of c? 8 Suppose -2*m = -7*m + 2*z + 195, 0 = 5*m - 4*z - 195. Suppose 4*v = -m - 5. Let w = 16 + v. What is the units digit of w? 5 What is the units digit of (-1 - -16)*(-12)/(-30)? 6 Let l = 1 - 3. What is the units digit of (-1 - l)/(2/14)? 7 Let z(o) = 12*o**2 - 4*o - 9. What is the tens digit of z(3)? 8 Let j = -23 - -11. Let k = -9 - j. Suppose 8*f - k*f = 40. What is the units digit of f? 8 Suppose -s + 2*u + 19 = 0, 2*s = -3*s + u + 77. Let z = -10 + s. What is the units digit of z? 5 Let y(i) = -10*i**3 + i**2 - 1. Let l = -9 - -8. What is the units digit of y(l)? 0 Let k(l) = l**2 - 5*l - 4. Let i be k(6). What is the units digit of (-41)/(-5) - i/10? 8 Suppose 37 + 17 = i. What is the tens digit of i? 5 Let p be (2 - (1 - 13))/1. Let s be (p/4)/(-7)*-8. Suppose -s*t + 24 = -28. What is the units digit of t? 3 Suppose -p = -2*t - 75, p + 4*t - 75 = 2*t. Suppose -4*f + p = -f. What is the tens digit of f? 2 Suppose -2*g = 2*g - 2*f - 60, -40 = -4*g - 3*f. What is the tens digit of (-453)/(-13) - (-2)/g? 3 Suppose -3*n = -8*n - 5*z + 180, 2*z + 60 = 2*n. Suppose -n + 9 = -2*j. What is the units digit of j? 2 Suppose 0 = 5*o + i - 25, 0 = o + 3*o + i - 19. Suppose d = o*d - 60. What is the units digit of d? 2 Let p be ((-8)/10)/(4/10). What is the units digit of -3*p*(-21)/(-18)? 7 Let p(x) = 0*x**2 + 5*x**2 - 5*x**3 - 3*x**2. What is the tens digit of p(-2)? 4 Suppose -a - 30 = -5*z + 2*a, -25 = -5*z + 2*a. Let q = 2 - z. What is the units digit of (-4)/(8/26)*q? 3 Let q = 123 - 73. Suppose q = 4*g + g. What is the units digit of g? 0 Let o(g) = -g**2 - 7*g + 8. Let t be o(-7). Suppose 0 = -k + t + 8. What is the units digit of k? 6 Let p = 105 - 65. What is the units digit of p? 0 Let g(y) = -y + 2. Let s be g(1). Let d(w) be the first derivative of 3*w**3 - w - 6. What is the units digit of d(s)? 8 Suppose -4*d = d - 90. What is the units digit of (d/(-4))/(1/(-2))? 9 Let l(m) = 4*m**3 + m**2 - m. Let h be l(1). Suppose -d - 3 = -2*b, -h*b = -5*d + 11 - 2. What is the units digit of d? 5 Let s = -2 - 19. Let z be (s/(-7))/((-3)/(-8)). Suppose -4*o = 5*h - 25, -z*h + 4*h - 3*o = -21. What is the units digit of h? 9 Let i(a) = -a**3 - 4*a**2 - 4*a - 1. Let b be i(-3). Suppose k - 9 = -b*k
{ "pile_set_name": "DM Mathematics" }
) = -p**2 + p - 2. Let o(t) be the first derivative of t**3/3 - t**2/2 + t + 4. Determine n(x) + 2*o(x). x**2 - x Let l(p) = 85*p**2 - 42*p**2 + 8*p**3 - 43*p**2. Let s(o) = 8*o**3. Give 2*l(a) - 3*s(a). -8*a**3 Suppose -4*r - 1 - 15 = 0. Let a(j) = -2*j - 3. Let k(u) = -2*u - 4. What is r*a(o) + 3*k(o)? 2*o Let v(z) = 25*z**3 - 6*z**2 + 3*z + 5. Let t(h) = -h**3 - h**2 + 1. Calculate -5*t(m) + v(m). 30*m**3 - m**2 + 3*m Let d(t) = 42. Let b(j) = j + 21. Give 5*b(n) - 3*d(n). 5*n - 21 Let r be (-2)/(-3) + 141/(-9). Let f be (-1)/(r/(-6) - 3). Suppose u + 3 = f*u. Let a(b) = 4*b**3 + 3. Let i(s) = -5*s**3 - 4. Calculate u*i(x) + 4*a(x). x**3 Let w(i) = -99*i**3 + 6*i + 6. Let j(q) = 791*q**3 - 49*q - 49. What is -6*j(b) - 49*w(b)? 105*b**3 Let m(g) = 3*g**2 - 19*g. Let s(t) = -4*t**2 + 19*t + 1. What is 5*m(h) + 4*s(h)? -h**2 - 19*h + 4 Let w(p) be the second derivative of p**4/12 - p**2/2 + 336*p. Let x(m) = 15*m**2 - 12. Calculate 60*w(o) - 5*x(o). -15*o**2 Let t(o) = 16*o - 35. Let a(s) = -5*s + 12. Determine -17*a(j) - 6*t(j). -11*j + 6 Let r(z) = -z. Let f be -20 + (-2 + -2)/2. Let i(t) = -6*t. Calculate f*r(g) + 4*i(g). -2*g Let u be (-3)/(-2)*(64/(-24))/4. Let d(m) = -m. Let o(c) = 3. Give u*o(j) - 2*d(j). 2*j - 3 Let m = -488 - -497. Let j(l) = 5*l**2 + 2*l + 1. Let q(b) = -21*b**2 - 9*b - 5. What is m*j(d) + 2*q(d)? 3*d**2 - 1 Let t(a) = 6*a + 54. Let y(k) = -k + 1. Calculate 2*t(n) + 10*y(n). 2*n + 118 Let n(o) = -104*o**2 + 16*o + 8. Let j(m) = 70*m**2 - 10*m - 5. Calculate -8*j(q) - 5*n(q). -40*q**2 Let m(g) = -169*g - 17. Let n(o) = -4. Determine -m(u) + 4*n(u). 169*u + 1 Let y(c) be the first derivative of -3*c**2/2 + 4*c + 2. Let x(v) = -15 - 3*v - 6 + v + 25. Calculate 4*x(h) - 3*y(h). h + 4 Let g(r) = -481*r**2 - 65*r - 65. Let y be (-91)/13 - -3 - 1*-6. Let l(n) = -15*n**2 - 2*n - 2. Calculate y*g(t) - 65*l(t). 13*t**2 Let f(m) = m**2 + m - 1. Let o(c) = -225*c**2 + 9*c - 8. Determine 18*f(y) - 2*o(y). 468*y**2 - 2 Let s(u) = 3*u - 1. Let x(m) be the first derivative of -m**2/2 + 32. What is s(b) + 4*x(b)? -b - 1 Let n(s) be the first derivative of 5/2*s**2 + 3*s - 10. Let p(a) = -a - 1. What is -n(t) - 4*p(t)? -t + 1 Let z(t) = 5*t**2 - 2*t - 20. Let y(i) = 6*i**2 - 3*i - 19. Give -4*y(w) + 5*z(w). w**2 + 2*w - 24 Let p(s) = 9*s**3 + 17*s**2 + 14*s - 17. Let k(u) = -26 + 3*u + 54 - 24. Let m be k(-7). Let j(q) = 3*q**3 + 6*q**2 + 5*q - 6. Determine m*j(l) + 6*p(l). 3*l**3 - l Let q be 7 + 30/(-6) + 1. Suppose -5*x = 0, s - 2*x - 6 = -22. Let u(o) = -5*o + 1. Let d(a) = -26*a + 6. What is q*d(t) + s*u(t)? 2*t + 2 Let t(m) = 22*m - 92. Let u(r) = r - 5. Let d(g) = 4*t(g) - 72*u(g). Let a(h) = h - 1. What is 8*a(q) - d(q)? -8*q Let w(l) = -l**3 + 2*l - 1. Let p(r) = -2*r**3 + 3*r - 1. Let a(s) = -s**3 + 2*s - 1. Let i(j) = 3*a(j) - p(j). Let x = -14 + 12. Calculate x*i(n) + 3*w(n). -n**3 + 1 Let f(g) = g**2 + 14*g + 1. Let y be f(-14). Let r(w) = -y - 1494*w + 1494*w - w**2. Let h(n) = -4*n**2 + n - 1. Give h(l) - r(l). -3*l**2 + l Let a be 1*((-32)/14 - (-10)/35). Let v(l) be the third derivative of l**5/60 + l**3/6 - 12*l**2. Let h(i) = -5*i**2 + i - 4. What is a*h(q) - 9*v(q)? q**2 - 2*q - 1 Suppose -1304*h - 16 = -1312*h. Let p(i) = -3*i + 2. Let u(x) = -x + 1. Suppose 3*w = -18 + 3. Give h*p(j) + w*u(j). -j - 1 Let i = 7 - 13. Let a(q) = 2*q**3 + 7*q. Let r = 278 + -279. Let d(v) = -v. Calculate i*d(x) + r*a(x). -2*x**3 - x Let x(q) = -5*q**3 - 333*q - 6. Let i(t) = -t**3 - t - 2. Give -3*i(f) + x(f). -2*f**3 - 330*f Let c(g) = -13*g - 334. Let a(i) = -8*i - 166. Calculate -5*a(s) + 3*c(s). s - 172 Suppose 6*v - 38*v = -192. Let c(h) = -17*h - 6. Let q(n) = -341*n - 121. Calculate v*q(z) - 121*c(z). 11*z Let r(u) = 76*u - 4. Let x(o) = -18*o + 1. Let p(j) = 2*r(j) + 9*x(j). Let m(g) = -9*g + 1. Give 7*m(w) - 6*p(w). -3*w + 1 Suppose -4*k - 4*q = -20, -27*k + 29*k - 10 = 5*q. Let t(l) = -3*l**2 + 6*l + 3. Let x(b) = -7*b + 7*b**2 + 0*b - 3*b**2 - 3. Calculate k*x(m) + 6*t(m). 2*m**2 + m + 3 Let h(a) be the third derivative of a**5/60 - a**4/24 + a**2 - 18. Let w(p) = p**3 - 6*p**2 + 6*p + 3. Determine -6*h(r) - w(r). -r**3 - 3 Let a(u) = u**3 - u**2. Let q(d) = 3*d**2. Let x(g) = 21*g - 86. Let m be x(4). Determine m*q(w) - 6*a(w). -6*w**3 Let d(y) = 2*y - 1. Let q(r) = 13*r - 30. What is -14*d(o) + 2*q(o)? -2*o - 46 Let y(u) = 2*u. Let c(i) = 27*i - 12. Determine -3*c(l) + 45*y(l). 9*l + 36 Let y(g) = -g**2 - g - 1. Let u(r) = -2*r**2 - 4*r + 16. Calculate u(s) - 4*y(s). 2*s**2 + 20 Suppose 2*x = -3*j - 4 + 29, 0 = 2*j + 3*x - 25. Let o(f) = -f - 10. Let r(g) = 1. What is j*r(z) + o(z)? -z - 5 Let h(r) = 5*r**2 - 6. Let k(u) be the third derivative of -u**5/15 + 5*u**3/6 + u**2. Suppose -43*p = 146 + 28 + 84. Determine p*k(o) - 5*h(o). -o**2 Let d(s) be the second derivative of s**5/10 - 17*s**4/12 - s**3/2 - 34*s. Let c(y) = -y**3 + 9*y**2 + 2*y. Determine 7*c(b) + 4*d(b). b**3 - 5*b**2 + 2*b Let m(v) be the second derivative of -11*v**3/6 - 3*v**2/2 - 23*v. Let t(i) = 6*i + 2. Determine -4*m(d) - 7*t(d). 2*d - 2 Let p(a) = -2*a**3 + 7*a**2 - 2*a - 5. Suppose -2*d = -3*z - 2, 27 = -38*d + 39*d + 5*z. Let t(o) = 3*o**3 - 10*o**2 + 3*o + 7. Calculate d*p(r) + 5*t(r). r**3 - r**2 + r Let k(x) be the second derivative of -x**5/20 - 7*x**4/12 + 143*x. Let a(g) = g**2. Let c = 34 + -29. Calculate c*k(z) + 35*a(z). -5*z**3 Let v(r) = -7*r**2 + 3*r + 4. Let h be -12*(-18)/27 + -3. Let j(a) = -8*a**2 + 4*a + 8. Let d(n) = -1. Let o(l) = -3*d(l) - j(l). Give h*o(u) + 6*v(u). -2*u**2 - 2*u - 1 Suppose 3*l - 17 = l - 19. Let u(s) = s**2 + s - 1. Let x(q) = q**2 - 4*q + q - 3*q**2. Determine l*x(b) - u(b). b**2 + 2*b + 1 Let i(b) = -b**3 + 6*b**2 - 2*b - 4. Let w(a) = -2*a**3 + a**2 - 1. What is i(p) - 6*w(p)? 11*p**3 - 2*p + 2 Let n(i) = -10*i**2 - 6*i - 17. Let o(y) = -y**2 + y + 3. What is n(b) + 5*o(b)? -15*b**2 - b - 2 Let l(s) = 5*s**3 + 2*s**2 + 4*s + 5. Let i(d) = -6*d**3 - 2*d**2 - 5*d - 6. Suppose -7 = v + 3. Let z be ((-66)/55)/((-3)/v). Give z*i(m) - 5*l(m). -m**3 - 2*m**2 - 1 Let a(y) = -4*y**3 - 9*y**2 + 15*y + 13. Let m(o) = -3 + 0*o**3 - 2 + 4*o**2 - o**3 - 7*o + 3*o**3 - 1. What is -6*a(g) - 13*m(g)? -2*g**3 + 2*g**2 + g Let v(w) = 4*w**3 + 4*w**2 + 3*w + 3. Let r(g) = -g**2 + 28*g + 32. Let a be r(29). Let q(m) = 2 + 3*m**a + m - 5*m**3 - 1 + 3*m**3. Calculate 3*q(l) - v(l). -l**3 - 4*l**2 Let y(u) = -1339*u**3 + 9*u**2 - 11*u + 9. Let w(o) = 670*o**3 - 4*o**2 + 5*o - 4. Calculate -9*w(v) - 4*y(v). -674*v**3 - v Let o(d) = -2*d**2 - 2. Let n(g) = -3*g**2 - 23*g - 10. Determine n(j) - 5*o(j). 7*j**2 - 23*j Let o(r) = 4*r**2 + 4*r. Suppose 3*b = 5*y + 25, 2*y = b - 6 - 4. Let g(c) = 3*c**2 + 3*c. Suppose 4*i - 11 = 4*z + 1, 0 = -i + 3*z + 1. Give i*o(s) + y*g(s). s**2 + s Let z(j) = 20*j**2 - 11*j + 3. Let h(v) = 13*v**2 - 7*v + 2. Let p be 28*(-5)/(105/6). Determine p*h(a) + 5*z(a). -4*a**2 + a - 1 Let w(j) = 2*j**2 - 4*j + 4. Let r = -2 + 17. Let h be 40/r - 8/12. Let b(u) = -5*u**2 - 2 - 1 - u**2 + 4*u**h + 3*u. Calculate -4*b(g) - 3*w(g). 2*g**2 Let f(q) = 4*q**2 - 3*q. Let j(s) = -12*s**2 + 8*s. Suppose -16 = 3*o - o. Let p = 169 + -172. Give o*f(a) + p*j(a). 4*a**2 Let a(l) = 1 + 1 - 2 - 1. Let j(d) be the first derivative of -2*d**3/3 - d**2/2 + 3*d + 2. Calculate -3*a(t) - j(t). 2*t**2 + t Let t(h) = 15*h**3 + 9*h**2 + 4*h. Let l(r) be the second derivative of 7*r**5/20 + r**4/3 + r**3/3 + 28*r + 5. Determine -13*l(u) + 6*t(u). -u**3 + 2*u**2 - 2*u Let c(v) = -v**2 + v. Let b = -63 - -73. Suppose -5*t + 5*u = b, -t - 2*u + 0*u = -1. Let q(x) = 8*x**2 - 4*x - 1. Calculate t*q(a) - 4*c(a). -4*a**2 + 1 Let u be 4 - 3 - (0 - 1). Let f(g) = g + 3 + u*g + 2*g**2 + 1 - 4*g. Let z(t) be the first derivative of t**3 - t**2/2 + 5*t - 1. What is -5*f(n) + 4*z(n)? 2*n**2 + n Let d(i) = 444*i**3 + 370*i + 370. Let h(j) = j**3 + j + 1. Calculate 3*d(w) - 1110*h(w). 222*w**3 Let i(q) be the first derivative of -5*q**3/3 - 4*q**2 + 8*q + 56. Let l(b) = 4*b**2 + 7*b - 7. What is 6*i(m) + 7*l(m)? -2*m**2 + m - 1 Let p(x) = -28*x + 3. Let n(k) = -28*k + 5. Determine -3*n(g) + 4*p(g). -28*g - 3 Let u(v) = -v**3 - v**2 - v + 1. Let p(s) = -19*s**3 - s**2 + 2*s + 7. Let j(y) = -20*y**3 - y**2 + y + 5. Let a(q) = 3*j(q) - 2*p(q).
{ "pile_set_name": "DM Mathematics" }
Suppose 7*u - 492 = 96. Let p be 6/u*((-4 - 0) + -2). What is the nearest to 2/3 in -1/5, p, 3/10? 3/10 Let s = -66.59 - -67.69. What is the closest to 109 in s, -2, 0.5? s Let m = 8/39 - -53/312. Let i = 2 - 3. Let l = 13.508 - 13.608. What is the nearest to m in i, l, -4? l Let h = 90 - -9. Let o = 96 - h. Which is the nearest to 2/5? (a) -0.3 (b) o (c) -1/5 c Let z = 278 - 271. Let v(f) = 2*f**2 - 17*f + 16. Let g be v(z). Let u(d) = 2*d - 2. Let m be u(2). Which is the nearest to 8? (a) -4 (b) m (c) g b Let c(m) = m**3 + 9*m**2 - 2*m - 16. Let f be c(-9). Let v be (14/(-4))/(-7)*(f - 2). Suppose v = -3*t + 8*t. What is the nearest to 2/9 in -5, -0.3, t? t Let z = -4044009/217 - -18636. What is the closest to -3 in z, -1/5, -4? -4 Let f = 0.3 - -0.6. Let n = -0.1 - f. Let m = -136525.3 - -136522. What is the nearest to m in -0.2, 3, n? n Let o = -59/40 - -15/8. Let r = -43202.4 - -43202. Which is the closest to 3? (a) r (b) -4/5 (c) o c Let c be -17*((4 - 0) + -5). Suppose c*w - 13*w - 4 = 0. Let n = 168 - 167.9. What is the closest to w in 4, -21, n? n Let x = 46.7 - 49. Let k = x + 2.3. Let m = -0.1 + 0. Which is the closest to k? (a) -4/5 (b) -3 (c) m c Let j = 0.03714 - 2.03714. Which is the closest to 1? (a) -2/11 (b) j (c) -198 (d) -1 a Let l be ((-2440)/(-10736))/((-3)/12 - 1). Let h be 2 - (1 + (-92)/(-2)). Let w = -139/3 - h. Which is the closest to 0.1? (a) -3 (b) w (c) l c Let q = -142635.91 + 142636. Let r = 0.1 + -0.4. Which is the nearest to r? (a) q (b) 1 (c) 2/17 a Let i = 237 + -1656/7. Let w = -70.3 + 72.3. Which is the nearest to -1? (a) 1 (b) w (c) i c Suppose 22*g + 635 - 547 = 0. Which is the nearest to 0? (a) -1/5 (b) g (c) 19 a Let g = -8653 - -8645. Let l = 9.3 - 9. What is the closest to 0 in -0.5, g, l? l Let w = 4/15 - 7/45. Let u = -23/45 + w. What is the closest to -0.1 in -1, u, -1/2? u Let m(w) = w**2 + 3*w + 5. Let u be m(-5). Let l be (3/22)/(u/(-20)). Let f = -0.04942 + -0.05058. Which is the nearest to f? (a) -2 (b) l (c) 2/77 b Let r = -0.12672 - 0.87328. Let h = -0.03 + -0.37. Which is the nearest to 1? (a) -2 (b) h (c) r b Let v = -0.3117 + 0.0117. Which is the closest to -1? (a) -3/5 (b) v (c) 1/3 (d) -2/7 a Let p = 734 + -733.9. What is the nearest to p in 2/5, 1/2, -3/7? 2/5 Let j = 18568 - 18572. Which is the nearest to 2/11? (a) -1 (b) -2/3 (c) -3 (d) j b Let r = -54 - -38. Let h = -963 - -966. What is the nearest to 0.1 in 0.3, h, r? 0.3 Let m = 26.1 + -26.42. What is the closest to 0.3 in -0.3, -0.1, m, 0.1? 0.1 Let o = -7621 - -38108/5. Which is the nearest to -1/7? (a) -2 (b) -4/5 (c) o (d) -0.5 d Let q = -1/157 + -154/471. Which is the closest to q? (a) -11 (b) -5 (c) 2/19 (d) -1/2 d Let f be (-2)/4*(-605)/(-22). Let g = f + 163/12. What is the nearest to 1 in -23, g, -2/7? g Let o = 5.89 + -5.69. Suppose f + 80 = 5*a + 6*f, 3*a - 40 = 5*f. What is the nearest to a in -0.5, o, 2? 2 Let d = -0.356 - -435.356. Let u = -436 + d. Suppose 0 = -3*i + 4*i + 5. Which is the closest to 0.2? (a) i (b) u (c) 4/9 c Let f be 1 + 2 + (0 - 0). Suppose 4*o - 1 - 3 = -4*t, 0 = -f*o - t + 5. Let k = -97 - -97.4. What is the nearest to 0 in o, k, 5? k Suppose -294*k - 5422 = -22180. What is the nearest to 0.1 in k, -9, -3/5, 4? -3/5 Suppose 0 = -5*k - 4*x + 920, -4*x + 241 = 2*k - 127. Let p be (-1)/3 - (0 + k/6). Let v = -30 - p. What is the nearest to -3 in v, 5, -0.4? -0.4 Let t = 10.4 + -12.82. Let d = t - -2.6. Let n = 0.22 + d. What is the nearest to -3/8 in 1/6, -1, n? 1/6 Let h be 203/35 + -13 - -8. Which is the closest to 6? (a) 0.4 (b) h (c) 3 (d) 2.4 c Let x = 2.0412 + -1.0412. Which is the nearest to x? (a) -6 (b) 1.25 (c) -3 b Suppose -6*u = -12*u + 3960. Let t be u/(-1575) - 6/(-45). Let l = -5/18 + 91/198. Which is the nearest to t? (a) -0.3 (b) l (c) 2/9 a Let n = 326 - 459. Let h = -127.4 - n. Let l = 5.5 - h. What is the closest to l in -5, -5/3, 0.5? 0.5 Let x be ((-48)/(-160))/((-9)/(-12)). Let q = 5 - 5.1. Which is the nearest to 0.02? (a) x (b) q (c) 1/4 b Let t = -71411/4 + 17854. Which is the nearest to t? (a) 1/2 (b) 0.2 (c) 0.12 a Let q = -15.4 - -20.59. Let n = q + -0.69. Let j = -5 + n. Which is the closest to -1/5? (a) -1/5 (b) j (c) 1/6 a Let y be (3 - 0)*((-28)/(-20) + 2/(-5)). Let o be 2 + -1 - (-1 + (-28)/(-13)). What is the nearest to -2/3 in y, o, 1/2, 0.1? o Let h = -18.788 + 19.288. What is the nearest to 1 in 5, -0.29, 0.08, h? h Let t = 3 + -1. Let u = 524 + -523.5448. Let l = -0.0552 + u. What is the nearest to l in -1, 4, t? -1 Let k(b) = 7*b**2 - b - 1. Let v be k(-1). Suppose 136 = -v*j - 158. Let w = j + 296/7. What is the closest to -11 in w, 0.1, -5? -5 Let q = 3518 + -24624/7. What is the nearest to q in 316, 4, 2/5, 0? 2/5 Let v = 459 + -457. Let f = -207 - -206. What is the nearest to -5 in 4/3, f, 0.5, v? f Let k = 8/11 - 21/44. Let o = 1042.905 + -1043. What is the closest to k in 2, o, -2, 1? o Let w = -4 + 4.2. Let r = 40 - 35. Let p = -1939 + 1926. Which is the closest to w? (a) r (b) p (c) 0.5 c Let u(o) = 16*o + 537. Let k be u(-33). Which is the nearest to 2? (a) -4 (b) 5 (c) k (d) 4 d Let q = -6618 - -6621. What is the closest to -2/7 in 7, 2, q, -4/21? -4/21 Let k be ((-170)/850)/((-6)/(-10)). What is the nearest to -0.2 in 2/3, 2, 0.19, k? k Let u = 14.69 + -13.69. Suppose -f = -3*s + 131, 0 = -3*s + 2*f - 0*f + 130. Let k be (-4)/6 - s/(-30). What is the closest to u in k, -3, 0.3? k Let v = 10.528 + -9.928. Which is the nearest to 0.3? (a) 2 (b) 5 (c) v (d) -28 c Let b = 8576 + -8579. What is the nearest to 17 in 2/39, -0.5, -0.3, b? 2/39 Let o = 1 + -0.9. Let q = -39.448 - -26.448. Which is the nearest to q? (a) o (b) -5 (c) -3/7 b Suppose 22 = 5*x - 98. Let d be (-16)/x*((-3)/(-6) - 1). Let k = -0.1 + 0.1. Which is the closest to k? (a) d (b) 15 (c) -0.5 a Let j = -29.405 + 0.135. Let d = -29.2 - j. Which is the closest to 0.8? (a) d (b) -0.1 (c) -4 a Let x = 9 - 1. Let z = x + -8.3. Let n = 32303 - 32305. Which is the nearest to n? (a) 2 (b) z (c) -4 b Let h = -0.037 + -0.028. Let x = h + 0.035. Let m = -3.1 - -0.1. Which is the closest to 0.1? (a) x (b) m (c) -0.1 a Let o = 0.598 - -0.102. Let t = o - -1.3. Suppose -4*d = -9*d. Which is the closest to -1/5? (a) t (b) 1 (c) d c Let x = -764 + 735. Let a be (3/4)/((-111)/(-37))*x. What is the closest to -2/9 in -2/19, 1/6, a? -2/19 Let m = -17/7 + 99/35. Let u = -1218 - -1200.7. Which is the closest to m? (a) u (b) -5 (c) 0 (d) 0.1 d Let y = -46 - -45.8. Which is the closest to -1? (a) 3/7 (b) y (c) 0.6 (d) 2 b Let u = -2947 + 2937. What is the nearest to 57 in u, 2/7, 1/6, -2? 2/7 Let y = 77.6 + 107.4. Let p = -184.9 + y. What is the nearest to p in 1/8, -7, 3? 1/8 Let u = 0.5 - 5.5. Let k = -3.385 + 7.385. Let r = u + k. Which is the closest to r? (a) 4/7 (b) 0.2 (c) 3 b Suppose -2*h + 27 = 173. Let v = h + 76. Which is the nearest to -3? (a) 0.05 (b) v (c) -0.5 c Suppose -5*h = -4*y - 3, -1 = 5*h - 0*h - 2*y. Let u = 81 + -87. What is the closest to h in u, 2/7, 0.5? 2/7 Let j(x) = x**2 + 3*x - 1. Let s be j(-2). Let r be 133/399 - (-3 - -2)/(24/(-8)). Which is the nearest to -1? (a) r (b) 10 (c) s a Let t be 0 + (-10)/(-8) + -1. Let y = -0.1 - -0.1. Let n be (1/((-60)/294) + 5)/(124/(-155)). Which is the closest to y? (a) t (b) n (c) 0 c Let l = -141.12 - -145.92. What is the nearest to 0.2 in 8, l, 2/3? 2/3 Let g = 19342.1 - 19342. What is the closest to g in -16, -0.6, 2/9, -3/4? 2/9 Let m = 0.05401 + -0.58401. Which is the nearest to -0.3? (a) -0.08 (b) m (c) -1 a Let p = 0.2397 + 2.7603. Which is the nearest to 190? (a) p (b) -0.1 (c) -0.3 a Suppose -85*z = -5*k - 89*z - 13, 3*z + 36 = 5*k. Which is the nearest to -1? (a) -13 (b) k (c) -1 (d) 0.5 c Let t = -446 - -449. Let a(n) be the third derivative of -n**6/120 - n**5/10 - n**4/24 - 5*n**3/6 + n**2. Let k be a(-6). What is the closest to 1 in 4, k, t? k Let c = 41562 + -457180/11. What is the nearest to -0.9 in 0.3, c, 2/19? 2/19 Let s = 2.99606 + 0.00394. What is the closest to 5 in s, -1/3, -4? s Let n be 1/((-89)/34 - (-4)/34*1). What is the nearest to 0.3 in 1.2, 0, n? 0 Let m = 3395 - 3392. What is
{ "pile_set_name": "DM Mathematics" }
lacement from {a: 7, s: 8, x: 5}. What is prob of sequence asax? 14/969 Four letters picked without replacement from fmmufufuuuuffu. What is prob of sequence ffuf? 5/286 Calculate prob of sequence bfjj when four letters picked without replacement from {m: 1, f: 7, b: 2, j: 4}. 1/143 What is prob of sequence hph when three letters picked without replacement from cpccccpcccpchhc? 1/455 Calculate prob of sequence raa when three letters picked without replacement from {n: 2, a: 2, r: 1}. 1/30 Two letters picked without replacement from wwwwwlwwwwwwiw. Give prob of sequence li. 1/182 Calculate prob of sequence qjjq when four letters picked without replacement from {j: 5, q: 9}. 60/1001 Calculate prob of sequence oog when three letters picked without replacement from loolg. 1/30 What is prob of sequence uu when two letters picked without replacement from {n: 1, a: 1, u: 3, p: 5, z: 3, i: 2}? 1/35 Three letters picked without replacement from gggmmg. What is prob of sequence mgg? 1/5 Two letters picked without replacement from {r: 2, l: 2, s: 1, m: 2, f: 1, k: 5}. Give prob of sequence mr. 1/39 Calculate prob of sequence tvt when three letters picked without replacement from {v: 3, t: 3}. 3/20 Calculate prob of sequence hhhl when four letters picked without replacement from hlllllhllalhlll. 11/5460 What is prob of sequence hwl when three letters picked without replacement from vvlhvwwvwl? 1/120 Two letters picked without replacement from {i: 2, m: 4}. What is prob of sequence ii? 1/15 What is prob of sequence kvvk when four letters picked without replacement from ktkkvtkkvkkk? 14/1485 What is prob of sequence xxe when three letters picked without replacement from eexrerex? 1/42 Four letters picked without replacement from {d: 3, y: 17}. What is prob of sequence yydd? 4/285 What is prob of sequence ic when two letters picked without replacement from cccccicckcccck? 11/182 Calculate prob of sequence goa when three letters picked without replacement from toxtaqqqaqqqqgqa. 1/1120 What is prob of sequence hc when two letters picked without replacement from {h: 8, g: 4, c: 2}? 8/91 Three letters picked without replacement from kkkz. What is prob of sequence zkk? 1/4 Two letters picked without replacement from kkkcw. Give prob of sequence ck. 3/20 Four letters picked without replacement from fffifffffiifff. What is prob of sequence ifff? 45/364 What is prob of sequence vu when two letters picked without replacement from {v: 1, u: 4, e: 3}? 1/14 Three letters picked without replacement from vvpvpvkkp. Give prob of sequence vpv. 1/14 What is prob of sequence jpp when three letters picked without replacement from jjejepjjppjpee? 3/91 Three letters picked without replacement from {v: 4, z: 4, j: 4, e: 1, a: 2, u: 5}. What is prob of sequence uje? 1/342 Three letters picked without replacement from jkkjjjjjkjjj. What is prob of sequence kkj? 9/220 Two letters picked without replacement from {r: 1, n: 2, k: 1, a: 1}. Give prob of sequence kn. 1/10 What is prob of sequence zq when two letters picked without replacement from czqol? 1/20 Four letters picked without replacement from wsssswgwgsgtwa. Give prob of sequence twgg. 1/1001 Two letters picked without replacement from {i: 1, g: 2, b: 1, c: 1}. What is prob of sequence bc? 1/20 What is prob of sequence fl when two letters picked without replacement from {e: 7, l: 2, f: 6}? 2/35 Two letters picked without replacement from fffvfvvffffyfff. Give prob of sequence vf. 11/70 Calculate prob of sequence ik when two letters picked without replacement from xxixiiixkiimmdiixi. 1/34 Calculate prob of sequence akq when three letters picked without replacement from {a: 1, x: 2, k: 2, q: 1, v: 2, h: 1}. 1/252 What is prob of sequence xrry when four letters picked without replacement from {z: 1, y: 2, r: 2, x: 1}? 1/90 Four letters picked without replacement from {j: 2, a: 1, c: 6, x: 3, o: 5}. What is prob of sequence xjcj? 3/4760 Calculate prob of sequence ll when two letters picked without replacement from {d: 2, m: 4, c: 1, l: 9}. 3/10 Two letters picked without replacement from {z: 7}. Give prob of sequence zz. 1 Two letters picked without replacement from ubuuq. Give prob of sequence ub. 3/20 Calculate prob of sequence chi when three letters picked without replacement from {l: 9, a: 4, y: 2, i: 2, h: 2, c: 1}. 1/1710 Calculate prob of sequence mm when two letters picked without replacement from iemimmime. 1/6 Calculate prob of sequence bp when two letters picked without replacement from ndpbb. 1/10 What is prob of sequence tqt when three letters picked without replacement from {q: 3, t: 9}? 9/55 What is prob of sequence sb when two letters picked without replacement from {s: 4, b: 16}? 16/95 Four letters picked without replacement from mvqmqmvmqmmq. What is prob of sequence qmqv? 2/165 Calculate prob of sequence bww when three letters picked without replacement from {w: 16, b: 4}. 8/57 Three letters picked without replacement from bqgqmmjejmmbej. What is prob of sequence qqg? 1/1092 Four letters picked without replacement from {c: 1, y: 5, i: 1, n: 4, k: 2, x: 2}. Give prob of sequence yixi. 0 Four letters picked without replacement from {l: 2, p: 6, a: 4}. What is prob of sequence alpp? 2/99 Calculate prob of sequence ff when two letters picked without replacement from fffffffff. 1 Calculate prob of sequence np when two letters picked without replacement from ssnnpsnsnns. 1/22 What is prob of sequence nwx when three letters picked without replacement from {v: 1, x: 1, w: 2, n: 1}? 1/30 What is prob of sequence gkc when three letters picked without replacement from {c: 1, r: 1, h: 8, v: 1, k: 1, g: 2}? 1/1092 Three letters picked without replacement from {d: 3, a: 3, l: 2, g: 3, f: 5, j: 3}. Give prob of sequence djf. 5/646 What is prob of sequence ig when two letters picked without replacement from idiggigiiigliixdiidg? 5/38 What is prob of sequence eqj when three letters picked without replacement from waqqejet? 1/84 Calculate prob of sequence sy when two letters picked without replacement from {k: 6, y: 4, s: 8, l: 1, e: 1}. 8/95 Four letters picked without replacement from weqzzzqoeqzwzeoqe. Give prob of sequence oqqe. 1/595 Calculate prob of sequence xxtt when four letters picked without replacement from {t: 5, x: 5}. 5/63 Three letters picked without replacement from {r: 9, z: 2}. What is prob of sequence zrz? 1/55 What is prob of sequence xux when three letters picked without replacement from xhxhfuuxuuhxfxxn? 1/28 What is prob of sequence ccpp when four letters picked without replacement from pcpccccccbpccp? 36/1001 What is prob of sequence oym when three letters picked without replacement from mkkyjoy? 1/105 Four letters picked without replacement from {p: 2, z: 3, m: 5, u: 6, v: 1, f: 2}. What is prob of sequence uvzv? 0 Two letters picked without replacement from {r: 3, d: 5, w: 1}. Give prob of sequence rd. 5/24 What is prob of sequence icc when three letters picked without replacement from ciicccccc? 1/6 Four letters picked without replacement from tlnltnlttnnnnlnnl. Give prob of sequence nllt. 4/357 Two letters picked without replacement from ehhesseeeehzseezee. What is prob of sequence ez? 10/153 What is prob of sequence ddv when three letters picked without replacement from vbdvvttddvdht? 4/143 Four letters picked without replacement from {o: 1, u: 1, d: 2, z: 2, g: 4}. Give prob of sequence godu. 1/630 What is prob of sequence quo when three letters picked without replacement from fuuffquffffofuuffqqq? 1/342 Calculate prob of sequence uq when two letters picked without replacement from {j: 1, q: 1, x: 1, u: 1, r: 1}. 1/20 Two letters picked without replacement from {u: 1, r: 3, c: 2, p: 1, l: 4, i: 1}. What is prob of sequence ic? 1/66 Calculate prob of sequence dia when three letters picked without replacement from {t: 4, i: 2, d: 4, e: 1, a: 8}. 32/2907 What is prob of sequence nn when two letters picked without replacement from nrnnnnnnnnnnnnnnnn? 8/9 Three letters picked without replacement from nsiohhoxhhohx. Give prob of sequence ois. 1/572 Calculate prob of sequence ns when two letters picked without replacement from cssnnsnn. 3/14 Three letters picked without replacement from {u: 1, z: 2, y
{ "pile_set_name": "DM Mathematics" }
. Calculate the lowest common multiple of 1 - 3/((-3)/2) and 9*(2 + -9)/a. 3 Let d = 258658 + -57939485/224. Calculate the common denominator of d and -89/70. 1120 Let u(g) = g + 20. Suppose -d + 94 = -y + 5*y, 90 = d + 3*y. Calculate the least common multiple of u(-13) and d. 546 Calculate the lowest common multiple of 1200 and (234/(-546))/((-3)/525). 1200 Suppose 3*r + h - 1277 = 0, -3*r = -5*h - 1431 + 166. Suppose 5*j - r = -75. Calculate the lowest common multiple of 25 and j. 350 Let r = 1 + 4. Suppose 0*f = -r*f + 245. Let x = 4966 + -4961. What is the lowest common multiple of x and f? 245 Suppose 4*g + 14*f - 25 = 17*f, 3*g + 3*f = 24. Suppose -c + 12 = 3*s, g*s - 6*s = 2. What is the least common multiple of c and (-20)/(-15)*3/2? 6 Let q = -134 - -142. What is the smallest common multiple of q and (5/5 - 0) + 74? 600 Let p = 955 - 936. What is the smallest common multiple of 9 and p? 171 What is the least common multiple of 4577 + 8/8*-5 and 8? 9144 Let u(r) = -r**3 - r**2 + r - 25. Let b be u(-5). What is the common denominator of (2/(-10)*87)/((-112)/b) and (-339)/(-9)*(-1)/6? 72 Let l = 281145421/36580 + -3001037/310. Let j = 1995 + l. What is the common denominator of j and -9/16? 944 Let r = 2245/536 - -46/67. Let f be (-86)/(-4)*46/23. Calculate the common denominator of f/(-10)*-3*(-85)/(-102) and r. 8 Let j = 18/299 + -4547/70564. Let x = -7561/2124 - j. What is the common denominator of 49/33 and x? 99 Let g = 436 - 601. Let q = g - -169. Calculate the lowest common multiple of 26 and q. 52 Suppose -3*b - 12*b + 30 = 0. Suppose b*n = -15*n + 102. Calculate the lowest common multiple of n and 48. 48 Suppose 5*h - 2*a = 22, 2*a = 5*h - 2*a - 14. Calculate the lowest common multiple of 887 and h. 5322 Let o = 374 - 736. Let w = o - -416. What is the smallest common multiple of w and 63? 378 Calculate the lowest common multiple of 20156/42 - (-306)/3213 and 240. 480 Suppose -2*l - 50 = -h, 6*l = 5*l - 4. Find the common denominator of ((h/300)/(-7))/((-4)/515) and -87/10. 40 Let v = -101/60 + 23/15. Let j be ((-81)/18)/((-6)/(-152)). Calculate the common denominator of ((-18)/(-16))/(j/266) and v. 40 Let d(j) = -27 + 13*j - 36 + 5*j. Calculate the lowest common multiple of d(6) and 20. 180 Let n = -138/205 + 21699/5740. What is the common denominator of (-1170)/60*(-39)/378 and n? 84 Suppose 0 = -5*p - t - 148, 2*t - 4*t - 122 = 4*p. Let w = 445519/20 - 22282. Find the common denominator of w and ((-2)/(-4))/((-33)/p + -1). 40 Let x be 0 + 0 - (-5)/10*-284. Let g = -71 - x. Suppose -8*p + 136 = -4*p + 4*h, 2*p + 3*h - g = 0. Calculate the smallest common multiple of 8 and p. 248 Suppose -3*u = -5*r + 2183 - 557, 2*r = 4*u + 656. What is the smallest common multiple of 594 and r? 3564 Let r be 37/1*(-6)/(-276). Let i be -7 - (4 - 755/920). Let h = i + r. What is the common denominator of 83/10 and h? 40 Calculate the common denominator of ((-200)/(-36))/(7 - (10 - -15)) and -40/3. 81 Let a be (-8 - -4)*(-5)/((-20)/(-122)). Suppose -a + 82 = -5*w. What is the least common multiple of w and 30? 120 Let v be (4*18/(-24))/((-9)/24). Find the common denominator of -157/30 and (-508)/(-18)*(v - 2705/340). 510 Suppose 0 = -0*w - 4*w + 20. Suppose -40 = -w*u + 3*t, -5*u = -u - 2*t - 30. What is the least common multiple of 5/2 - (-1035)/90 and u? 70 Let i(o) = o**2 + o - 10. Suppose 9*q - 2 + 416 = 0. Let b = -30 - q. Calculate the smallest common multiple of b and i(6). 32 Let l = -266 - -264. Calculate the least common multiple of 36*(5 + -11)/l and 120. 1080 Let s be 232 + 0 + (0 - (0 - -3)). Let z = 306 - s. What is the least common multiple of 14 and z? 154 Suppose 32*n + 52 = 45*n. Let u = -149 - -225. What is the least common multiple of u and n? 76 Let y = 108 + -50. Let j = y - 25. Calculate the smallest common multiple of 33 and j. 33 Suppose 2*k = -10 - 8, 3*k + 46 = 3*s - 35. Let b = 1759/3 + -49519/84. What is the common denominator of b and s? 28 Let j(g) = -20*g - 7. Let y be j(-6). Let a = 1242/11 - y. Find the common denominator of 11/4*140/(-525) and a. 165 Let g = 96 + -99. What is the common denominator of 27/20 and g*(7923/630)/(-19)? 140 Let k be (9 - 232/24) + (-1)/3. Let y = 5858/2265 - 8/151. Calculate the common denominator of y and 4/k + -1 - 2210/(-240). 120 What is the common denominator of 216/972 + (-2 - 166/180) and (-699)/(-1665) - 2/6? 370 Let k = -68/209 + 20671/2508. Suppose 35 = -5*s + 5*h, -3*s + 4*h = -4*s - 22. Find the common denominator of k and ((-8)/s)/((-42)/(-130)). 84 Let s = -483 - 773. Let z = -221021/4 + 53981. Let k = s - z. What is the common denominator of 85/8 and k? 8 Let l = -814544/9 + 90396. Let v = 11113/99 + l. Find the common denominator of v and (21/6)/((-22)/(-12)). 11 Let u be (-18)/40*(14362340/(-75))/2. Let d = u - 43089. Let z = 2295 + -41371/18. What is the common denominator of d and z? 450 Suppose -3*d - 202 = o + 30, 5*d - 10 = 0. Let n = 0 + o. What is the common denominator of 65/8 and 5 + -1 + n/62? 248 Suppose 6*s + 174 = -0*s. Let n = 32 + s. Calculate the common denominator of 16/7 and -2 - -7*n/6. 14 Suppose 4*g - 330 = -g. Suppose -f + 7 = -2*a - 8, -5*a - 31 = 4*f. What is the lowest common multiple of f and g? 66 What is the common denominator of 113/168 and 52/156 + 3*51/(-756)? 168 What is the common denominator of -13/7 and ((-120)/81)/(15/((-1620)/342))? 1197 Let z be 2093750/(-644) - (-1 + 1). Let c = z + 22772/7. Calculate the common denominator of c and (-11)/(22671/(-7920) - 2/(-32)). 322 Let c be 4*15/24*2. Suppose c*d = -2*i - 9, -19 = -5*i - 2*d + 11. Suppose -72*f + 204*f - 2676 = -91*f. Calculate the smallest common multiple of f and i. 24 Let y = -3/133804 + -43728819/33451. Let l = y + 87601/67. Calculate the common denominator of l and -79/8. 536 Suppose 0 = -103*z + 1579 + 1820. Let l = 1 + 2. What is the smallest common multiple of z and l? 33 Let i(f) = -3*f**2 + 14*f - 5. Let t be i(3). Find the common denominator of 218/36 + -12*t/(-540) and 149/18. 18 Let o = 3185 - 2633. Calculate the smallest common multiple of o and 138. 552 Let w = -7/2469204 + 33957179305/2469204. Let i = 13745 - w. Calculate the common denominator of i and 113/60. 180 Suppose -4*c = 8*c + 12. Let m be c - -6 - (-2348586)/(-80). Let a = 29355 + m. Find the common denominator of 61/4 and a. 40 Let w = -108/17 + 13989/2210. What is the common denominator of w and 67/520? 520 Let x(r) be the second derivative of 2*r**4/3 + r**3/2 + r**2 + 2*r - 55. Let s be 2/(-2)*(-1 - -2). What is the least common multiple of x(s) and 5? 35 Find the common denominator of 127/430 and (-11*55/(-10))/(1*-5). 430 Suppose 15*z = 4205 + 2920. Suppose -6*n - 187 = -z. Calculate the lowest common multiple of n and 11. 528 Let l be (-10)/55 - 3160/44. What is the common denominator of 102/l - (-4)/6 and 41/7? 28 Suppose -85*d + 60390 = -52*d. Calculate the least common multiple of d and 30. 1830 Let r be 7471*2 + 13 + -16. Let i = 821576/55 - r. Calculate the common denominator of -32/35 and i. 385 Let f(o) = 93*o**2 - 219*o + 12. Calculate the least common multiple of f(3) and 720. 2880 Suppose 7*j - 19 = -k + 2*j, -4*k = 2*j + 14. Calculate the lowest common multiple of 2 and (-1)/(-4)*(-120)/k. 10 What is the common denominator of -39 and (-3 - 622/(-194))/((-246)/(-9))? 3977 Find the common denominator of 39/178 and 84/200*(-95)/114. 1780 Suppose -1 = l, -4*o + 2*o + 27 = -3*l. Calculate the smallest common multiple of (218/1417)/(4 + 933/(-234)) and o. 12 What is the common denominator of ((-185)/555)/((-21)/123) and 2 + 0 - 39/28? 84 What is the common denominator of (-25828)/6776 - 6/(-7) and 4*(-6)/16*(-408)/(-297)? 66 What is the least common multiple of 33 and 6909 + 4 + 2/((-14)/49)? 75966 Let u = 42 - 64. Let i be u/15*(-2121)/14. Let w = i - 221. Find the common denominator of w and -51/2. 10 Let h(o) = -17*o**2 - 2*o - 20. Let i be h(-4). Let f = -278 - i. Calculate the smallest common multiple of 2 and f. 6 Let d = 719083/133890 + -18/4463. Let m = 5491754/22533 + -20/3219. Let z = 15046/63 - m. Find the common denominator of z and d. 90 Suppose -2*b + 8 = -0, -5*k + 253 = 2*b. Suppose 2*u - 44 = 4*s, 8*u + 2*s - 102 = 2. Calculate the lowest common multiple of k and u.
{ "pile_set_name": "DM Mathematics" }
4. 3 Let t = 34 - 25. What is the remainder when 26 is divided by t? 8 Suppose 3*c - 5*o = 39, 5*o = 2*c - 4*c + 51. Calculate the remainder when 50 is divided by c. 14 Let l(x) = -x**2 - 4*x + 57. What is the remainder when l(0) is divided by 20? 17 Let z = 8 - 5. Suppose -2*f = -4, 5*f = s + z*f. Let r = -8 - -18. What is the remainder when r is divided by s? 2 Let w = 11 + 36. What is the remainder when w is divided by 17? 13 Let w(o) = -o**2 + 16. Let g be w(0). Suppose -g = 6*a - 4*a. Calculate the remainder when (a/(-10))/(2/60) is divided by 13. 11 Let i(p) = p**3 - 14*p**2 + 14*p - 10. Calculate the remainder when 1*(-2 - -1) - -4 is divided by i(13). 0 Suppose -102 = -2*i - 2*y, 0*i = i - 5*y - 21. What is the remainder when i is divided by 2 - (-1*9 - 1)? 10 Let r(y) = y**3 - 2*y**2 + 6. What is the remainder when 29 is divided by r(0)? 5 Suppose 4*u - 278 = 4*f - 34, -4*u - 2*f = -220. What is the remainder when u is divided by 20? 17 Let k = 5 + -5. Suppose -c = k, -2*o - 4*c = c - 4. Let m = 6 - 4. What is the remainder when m is divided by o? 0 Let r = -16 + 22. Calculate the remainder when 15 is divided by r. 3 Calculate the remainder when (4 + (-185)/(-20))/((-1)/(-8)) is divided by 37. 32 Let a(l) = -l**2 - 5*l + 5. Let d = 1 + -2. What is the remainder when (-1 + 4)/(d/(-3)) is divided by a(-5)? 4 Let m be (-4 + 0)*(-36)/(-3). Suppose -234 = 3*f - 4*p, p + 77 = -3*f - 172. Let q = m - f. What is the remainder when q is divided by 18? 16 Let d = -2 + 33. Suppose -2*k = -2*s - 55 - 43, 0 = -4*k - 5*s + 160. Let o = k - d. What is the remainder when 27 is divided by o? 13 Suppose 27*p - 180 = 18*p. What is the remainder when 54 is divided by p? 14 Let k be -4*(3 + (-63)/12). Suppose -3*q = -2*q - k. What is the remainder when q is divided by 6? 3 Let w(y) = 5*y + 6. Calculate the remainder when w(7) is divided by 480/35 + (-2)/(-7). 13 Suppose 3*p + 5*w + 17 = 48, -4*w + 35 = 3*p. Let t be (-10)/(-45) - 508/18. Let u = -19 - t. Calculate the remainder when p is divided by u. 8 Let b(d) = -38*d. Let o be 3*(4/3)/(-4). Suppose 140 = 4*t + 3*t. What is the remainder when b(o) is divided by t? 18 Suppose 5*g - 457 = -7. Calculate the remainder when g is divided by 46. 44 Let z be (0 - 0)*3/6. Let t = z - -11. Calculate the remainder when 64 is divided by t. 9 Suppose 9 = 3*n - 12. Calculate the remainder when ((-6)/10)/(13/(-390)) is divided by n. 4 Let i(s) = -s**3 - 4*s**2 - 4*s + 1. Let m be i(-3). Suppose -m*k = -65 + 9. What is the remainder when k is divided by 5? 4 Suppose 4*y = y - 12. Let v be (-158)/(-18) + (-10)/(-45). Let a = y + v. Calculate the remainder when a is divided by 3. 2 Let q = 23 - 32. Let m = q + 12. Calculate the remainder when 8 is divided by m. 2 Let l = 120 + 8. Calculate the remainder when l is divided by 22. 18 Suppose -o + 60 = 5*o. Calculate the remainder when 39 is divided by o. 9 Suppose -1 - 29 = -4*r - 2*t, -3*r - 3*t = -27. Suppose -u + 67 = 4*b, 4 = -u + 3. Calculate the remainder when b is divided by r. 5 Let o be 11 + -8 - (-1 + 3). Let f = o - -8. What is the remainder when f is divided by 3? 0 Suppose -l - 2*q = 3*l + 62, 3*q + 18 = -l. Let y = 18 + l. What is the remainder when 11 is divided by y? 2 Let k = 89 + 13. What is the remainder when k is divided by 13? 11 Suppose -104 = -4*j - 12. Let q = 4 - 1. Suppose 5*l = u - 17, 37 = q*u - 0*l - l. What is the remainder when j is divided by u? 11 Let m be 4/(-26) - (-328)/104. Suppose 0*k - 2*k = -i - m, i + 13 = 4*k. What is the remainder when 17 is divided by i? 3 Let v = 6 - 4. Suppose 4*a = v*a. Suppose -4*s + 6 = -d - a*d, 0 = 5*d + s - 12. Calculate the remainder when 3 is divided by d. 1 Let w(d) = 6*d. Let g be w(-1). Let i = g - -14. What is the remainder when i is divided by (-34)/(-6) - 4/6? 3 Let p be (-110)/(-6) - 3/9. Let n = -10 + p. What is the remainder when 14 is divided by n? 6 Let x(s) be the second derivative of 2*s**3 + s**2 - 4*s. Calculate the remainder when x(5) is divided by 16. 14 Let k(s) = s**3 - 4*s**2 + 3*s - 6. Let y(t) be the third derivative of t**6/120 + t**4/24 + 3*t**3 + t**2. What is the remainder when k(5) is divided by y(0)? 16 Suppose p - 3*p = -34. Suppose -5*h + l + 118 = 0, -3*h + 84 = l - 6*l. Let x = h - 14. Calculate the remainder when p is divided by x. 8 Suppose -2*w - w = -39. Suppose 3*d + 118 - 7 = 0. Let l = 75 + d. What is the remainder when l is divided by w? 12 Suppose 0 = 10*l + 32 - 142. What is the remainder when l is divided by 2? 1 Let z be 174/(-7)*(-3 - 4). Suppose 4*i = i + z. What is the remainder when i is divided by 15? 13 Suppose 0*w = 5*w - 75. Suppose 0 = f - b - 5, -5*b - 9 = -4. Calculate the remainder when w is divided by f. 3 Let c be 2/6 + (-132)/(-36). Suppose -4*r = -3*g - 2, 3*r - c = g + r. Calculate the remainder when 17 is divided by g. 5 Let n(k) = k**3 + 4*k**2 + k - 3. Suppose 0 = -f - f - 6. Calculate the remainder when 1/(((-9)/(-12))/3) is divided by n(f). 1 Let p = 21 - -28. Calculate the remainder when p is divided by 17. 15 Let t(z) = -2*z + 11. Calculate the remainder when t(-8) is divided by 10. 7 Suppose -m = -2*i + 4*m - 1, 0 = -3*i - 2*m - 11. Suppose 11 + 3 = j. Calculate the remainder when j is divided by 5 + i + (-1 - -4). 4 Let i = 9 + -7. Suppose 2*g + g - w = 31, 0 = 4*g + i*w - 38. Calculate the remainder when (3/3)/(1/29) is divided by g. 9 Let z(h) = 9*h - 1. Let b = 26 + -36. Calculate the remainder when z(1) is divided by -3*(b/3)/2. 3 Let f(t) = 9*t**2 - t + 1. Let g(p) = 3*p - 107. Calculate the remainder when f(-3) is divided by g(43). 19 Let c = -121 + 127. What is the remainder when 112 is divided by c? 4 Suppose -2*k + 2*w = 3*k - 143, -4*w = -4*k + 124. Calculate the remainder when 51 is divided by k. 24 Let f(q) = 0 + 2 - 1 - 18*q + 2. Let i be f(-4). Suppose -n + 12 = k + n, i = 5*k + 5*n. Calculate the remainder when 35 is divided by k. 17 Let x be (-2)/4 - (-17)/(-2). Let l(s) = -s**3 - 9*s**2 + s + 12. Let t be l(x). Calculate the remainder when (-304)/(-12) - 1/t is divided by 13. 12 Suppose -5*v = 2*q - 19, q - 2*v = -v - 1. What is the remainder when -1 - -2 - 6/(-3) is divided by q? 1 Suppose -4*f + 3 = -49. Calculate the remainder when 23 is divided by f. 10 Let g be 1*((-4 - -42) + -1). Suppose -k = 2*u - 14, 3*k + u = -0*k + g. Calculate the remainder when k is divided by 5. 2 Let v(q) = -q + 2. Let w be v(0). Suppose -2*y + 61 = -k, -w*y + 7*y - 175 = -5*k. Calculate the remainder when y is divided by (-258)/(-15) - (-3)/(-15). 15 Let h be (-279)/(-18) + (-1)/(-2). Let y(x) = -x + 11. What is the remainder when -3 + (1 - 0) + h is divided by y(6)? 4 Let z(p) = 6*p**2 - 4*p + 8. Calculate the remainder when 237 is divided by z(2). 21 Let u(p) be the second derivative of 11*p**3/3 + p**2/2 - 2*p. Calculate the remainder when u(2) is divided by 16. 13 Calculate the remainder when (-8)/(-10)*(2 - -63) is divided by 11. 8 Let s be 1/5 + (-18)/(-10). Suppose 2*b + 4*f + 3 = 29, -4*f = -s*b + 18. What is the remainder when 41 is divided by b? 8 Suppose -d = -2*r + 7*r + 24, 4*d - 19 = 3*r. Suppose -l - d - 3 = 0. Let b = 13 + l. What is the remainder when 16 is divided by b? 7 Suppose 4*w - 4*c + 6 - 18 = 0, -c = 0. Let a(f) = 2*f**2 + 14*f + 15. What is the remainder when a(-6) is divided by w? 0 Let v(o) = -o**3 + 13*o**2 - 8*o - 25. What is the remainder when v(12) is divided by 13? 10 Suppose -4*a + 38 + 14 = 0. What is the remainder when a is divided by (-2 + (-45)/(-12))*4? 6 Let w(c) = -c + 29. What is the remainder when -2 - ((-2)/1 - 30) is divided by w(18)? 8 Let g(y) = 2*y**2 + 2*y + 12. What is the remainder when g(4) is divided by 18? 16 Suppose 5*p + 100 = 10*p. What is the remainder when 78 is divided by p? 18 Suppose 0 = -5*w + k + 51, -4*w - 3*k = k - 36. Calculate the remainder when w is divided by 3. 1 Suppose -2*k = -5*k + 132. Calculate the remainder when k is divided by 15. 14 Suppose -3*o + 4 = -2*o. Calculate the remainder when 5 is divided by o. 1 Suppose 0 = 4*f + 2*u - 10, -7 = -3*f + u - 2*u. Let n = 23 + f. Calculate the remainder when n is divided by -9*((-3 - -2) + 0). 7 Let c = -27 - -19. Let j(k) = -k**3 - 8*k**2 - 5*k - 5. What is the remainder when j(c) is divided by 12? 11 Let f(a) =
{ "pile_set_name": "DM Mathematics" }
tive of w(h) wrt h? 1080*h**3 Let s(a) = a. Let l be s(4). Find the second derivative of -2*z - 6*z**4 + 2*z**4 + z**l + 0*z wrt z. -36*z**2 Let r(i) be the third derivative of -1/24*i**4 + 0*i**5 + 0 + 0*i**3 - i**2 + 0*i + 0*i**6 + 1/105*i**7. Find the second derivative of r(v) wrt v. 24*v**2 What is the third derivative of -5*p**3 + 6*p**2 + 4*p**3 - 2*p**2 + 15*p**2 wrt p? -6 Let i(y) be the second derivative of 8*y**6/15 + 15*y**2/2 - 20*y. What is the derivative of i(l) wrt l? 64*l**3 Let b(c) = c. Let o(p) = -8*p - 2. Let a(h) = 4*b(h) + o(h). What is the first derivative of a(x) wrt x? -4 Differentiate -14*v + 59 - 98 - 18*v wrt v. -32 Suppose -8 = -m - 4. What is the third derivative of o**2 - 59 + 59 + o**m wrt o? 24*o Let b be 1183/390 - (-1 - -4). Let j(p) be the third derivative of 1/6*p**3 + 0 + 0*p**4 + 2*p**2 + b*p**5 + 0*p. What is the derivative of j(k) wrt k? 4*k Suppose o - 1 = 1. Find the second derivative of -r + r + r - r**o wrt r. -2 Let j(m) be the first derivative of m**6/6 + 7*m**3/3 + 6. What is the third derivative of j(y) wrt y? 60*y**2 Let l(n) = -10*n**4 - 3*n**2 - 3*n + 18. Let f(q) = 9*q**4 + 2*q**2 + 2*q - 19. Let g(k) = -3*f(k) - 2*l(k). What is the derivative of g(w) wrt w? -28*w**3 Let b(m) be the second derivative of 0 + 5*m - 1/2*m**3 - m**2. Differentiate b(w) wrt w. -3 Let k(v) = -5*v**2 + 9*v. Let o(s) = 5*s**2 - 8*s. Let f(t) = 5*k(t) + 6*o(t). Find the second derivative of f(x) wrt x. 10 Let t(r) = -2 + r + 3*r - 2*r. Let l be t(2). What is the third derivative of -2*c**l + 2*c**4 + 4*c**2 - c**2 wrt c? 48*c Let n(t) = -3*t**3 + t**2. Let a(m) = -3*m**3 + m**2. Let v(c) = 4*a(c) - 6*n(c). What is the third derivative of v(g) wrt g? 36 Let z(p) = 3*p**2 + 2*p + 1. Let j be z(-1). Find the second derivative of j*m**4 + 2*m + 4*m**2 - 4*m**2 wrt m. 24*m**2 Let y(t) be the second derivative of -3*t**7/14 + 11*t**3/6 - 8*t. Find the second derivative of y(s) wrt s. -180*s**3 Let i be -3 - (-3 - -1 - 5). Suppose -i = -3*k + 2. Find the third derivative of 3*u**3 + k*u**2 - 7*u**3 - u**2 wrt u. -24 Suppose 0*s = -5*s + 15. Let w be s + -3 + (-1 - -7). What is the third derivative of 2*g**2 + 0*g**2 + 4*g**6 - 3*g**w wrt g? 120*g**3 Suppose 5*q + 9 = 24. What is the second derivative of s**4 + q*s + s**4 + s**4 wrt s? 36*s**2 What is the third derivative of 55*b**4 - 112*b**4 + 48*b**4 + 11*b**2 wrt b? -216*b Let x be 13/5 + 26/65. Find the third derivative of -2*n**2 - 8*n**3 + 8*n**3 + x*n**3 - 7*n**2 wrt n. 18 Let n(s) be the second derivative of -s**9/15120 - s**7/504 - s**4/4 + 3*s. Let v(j) be the third derivative of n(j). Find the third derivative of v(c) wrt c. -24*c Suppose 3*h - 8 = 2*i, -h + 4*i = 3*h - 12. What is the second derivative of -b + h*b + 4*b**2 - 3*b wrt b? 8 Let n(o) be the third derivative of 0*o + 1/24*o**4 + 0*o**3 + 4*o**2 + 0*o**6 + 0*o**5 + 1/42*o**7 + 0. Find the second derivative of n(c) wrt c. 60*c**2 Differentiate -280 + 34*b**2 + 12*b**2 + 293 - 9*b**2 wrt b. 74*b Let u(l) be the third derivative of l**7/35 - l**4/8 + 19*l**2. Find the second derivative of u(m) wrt m. 72*m**2 Let c(v) be the second derivative of 0*v**5 - v**2 - 3*v + 0*v**4 + 0*v**3 - 1/15*v**6 + 0. Differentiate c(y) with respect to y. -8*y**3 Suppose 4*o = y + 15, -4*o = -3*y + 4*y - 17. What is the first derivative of -17 + 16 + t**3 - t**3 + t**o wrt t? 4*t**3 Let y(k) = -k**2 + 3*k + 2. Let b be y(3). Find the third derivative of -2*r**b + r**4 - 2*r**4 + 0*r**3 + 0*r**3 wrt r. -24*r Let x(b) be the second derivative of -2*b**5/5 + b**2 + 4*b. What is the derivative of x(j) wrt j? -24*j**2 Let z(o) be the second derivative of o**7/1260 - o**6/240 + o**4/4 + 2*o. Let s(t) be the third derivative of z(t). What is the second derivative of s(n) wrt n? 4 Let y(v) = v + 9. Let r be y(-7). What is the third derivative of 5*o**3 - 3*o**r - 5*o**3 - o**3 + 3*o**3 wrt o? 12 Let x(p) be the third derivative of -p**10/2520 + p**6/120 - p**3/2 - 3*p**2. Let b(j) be the first derivative of x(j). Find the third derivative of b(g) wrt g. -240*g**3 Let x be (-84)/(-18) + 4/(-6). Find the first derivative of -5*v + x*v - v - 2 wrt v. -2 Suppose 0 = o + 2*o - 3*l + 9, -5 = -5*o + l. Find the third derivative of -8 + 4*b**3 + 8 - b**o wrt b. 24 Suppose -3*t + 0 - 36 = 0. Let q be (t/(-9))/((-4)/(-6)). What is the third derivative of 2*l - l**q - 2*l + 2*l**4 wrt l? 48*l Let m(j) be the second derivative of 3/20*j**5 + 0*j**2 + 1/4*j**4 + 0*j**3 + 0 + 3*j. What is the third derivative of m(o) wrt o? 18 Let n = 1 - 1/2. Let z(q) be the first derivative of 0*q**3 - 2 + 0*q**2 + n*q**4 + q. Find the first derivative of z(l) wrt l. 6*l**2 Let k be ((-6)/(-2))/3 - 1. Suppose f + k = 2. Find the second derivative of 2*v - f*v**4 - 5*v**2 + 5*v**2 wrt v. -24*v**2 Let a(z) be the second derivative of 5*z**7/21 + z**4/4 - 3*z. Find the third derivative of a(m) wrt m. 600*m**2 Let d(p) = p**2 + 2. Let r(b) = 2 + 3 - 1 - 1. Let m(t) = -2*d(t) + 3*r(t). What is the derivative of m(s) wrt s? -4*s Let h(p) be the third derivative of p**6/20 - p**5/4 + 6*p**2. What is the third derivative of h(r) wrt r? 36 What is the derivative of 15 + 12*k**3 + 27 - 7 - 52*k**3 wrt k? -120*k**2 What is the second derivative of s + 6*s + 13*s**4 + 3*s wrt s? 156*s**2 Let u(y) = 6*y**3 - 15*y**2 - 4*y - 4. Let g(s) = -19*s**3 + 46*s**2 + 11*s + 11. Let m(f) = -4*g(f) - 11*u(f). What is the third derivative of m(c) wrt c? 60 Let i(b) be the second derivative of b**3/6 + 7*b. Let n(u) = -2*u**3 + u + 3. Let p(t) = 2*i(t) - 2*n(t). Find the first derivative of p(f) wrt f. 12*f**2 Let r = -6 - -11. Suppose -1 + 26 = r*f. Find the third derivative of 2*a**6 + a**5 - 3*a**2 - a**f - 4*a**6 wrt a. -240*a**3 Let t(l) be the third derivative of 7*l**4/24 - 4*l**3/3 - 5*l**2. What is the derivative of t(k) wrt k? 7 Find the second derivative of 7*b**5 + 8*b**5 - 5*b - 5*b wrt b. 300*b**3 Suppose 3*k - 10 = -1. What is the third derivative of -4*c**2 + 4*c**6 - 4*c**2 + k*c**6 + 2*c**6 wrt c? 1080*c**3 Let c = 13 + -11. Differentiate 2 + 4*h + 3 - c - 1 with respect to h. 4 What is the second derivative of 3*z - 7*z**5 + 0*z + 2*z + 0*z wrt z? -140*z**3 Let v(l) be the second derivative of 0*l**3 + 0*l**5 - 1/10*l**6 + 0 + 2*l + 0*l**2 + 1/6*l**4. Find the third derivative of v(g) wrt g. -72*g Let l(y) be the third derivative of y**5/2 - 17*y**4/24 + 28*y**2. What is the second derivative of l(b) wrt b? 60 Let l be ((-12)/15)/(4/(-10)). Find the third derivative of 3*h**4 + 71*h**2 - h**4 - 77*h**l wrt h. 48*h Suppose 5*u + 16 = -2*l, -u = -5*l + u - 40. Let o be (-4)/(-3)*(-12)/l. What is the third derivative of 2*z**6 - z**6 - 3*z**2 - z**o wrt z? 120*z**3 Let r(h) = h**2 + h. Let k(s) = 2*s**2 - 15*s. Let a(n) = -k(n) - 6*r(n). Find the second derivative of a(z) wrt z. -16 Let j(i) = -15*i**4 + 5*i**3 + 5*i + 3. Let n(a) = a**4 - a**3 - a. Let z(t) = -j(t) - 5*n(t). What is the derivative of z(w) wrt w? 40*w**3 Suppose -9 - 3 = -4*k. Let j be 9/(-3)*(-3)/9. Differentiate -k + j - n - 3*n wrt n. -4 Let z(u) = u - 2. Let d be z(5). Suppose 4*s - d*c - 6 = -4*c, -s = 2*c + 2. What is the first derivative of -s*m**3 - m**3 + 4*m**3 - 2 wrt m? 3*m**2 Let i be (-2)/(2 + (-24)/9). Suppose i = 3*m - 6. Find the second derivative of 3*u**m - 2*u**3 - 2*u + 0*u**3 wrt u. 6*u Let m be 19/(-3) + 2/6. Let l be 68/5 + m/10. What is the derivative of -1 - 12*t**4 + l*t**4 + 4 wrt t? 4*t**3 Let i(p) = -3*p**3 - 2*p - p + 0*p. Let n(s) = -2*s**3 - s. Let z(f) = -2*i(f) + 5*n(f). Find the second derivative of z(j) wrt j. -24*j Let f(d) = -d**2 + 3*d. Let v be f(2). Differentiate 3*i**v - 2 - 3*i**2 + 4*i**3 wrt i. 12*i**2 Let k = 37 - 23. What is the second derivative of k*w + 8*w**5 - 5*w - 15*w wrt w? 160*w**3 What is the first derivative of -24 - 12*f**4 - 1295*f**3 + 1295*f**3 wrt f? -48*f**3 Let m(c) = -11*c**6 - 3*c**5 + 18*c**2 - 3. Let d(r) = r**5 - r**2 + 1. Let k(t) = -3*d(t) - m(t). Find the third derivative of k(v) wrt v. 1320*v**3 Let r be -6 + 9 - (-1 + 1). What is the second derivative of r*q**3 - 2*q**3 - 2*q + q**3 + 2*q**3 wrt q? 24*q Suppose 4 = -4*h + w + 11, h + 3*w - 5 = 0. Suppose i - h = -0*i. What is the derivative of -1 + g**4 - i*g**2 + 2*g**2 wr
{ "pile_set_name": "DM Mathematics" }
167/15) Simplify ((d/d**(-2/5))**(-12/5))**(-40) assuming d is positive. d**(672/5) Simplify g**(2/3)*g**(-14)/g*(g**(-2)*g)**(-1/67) assuming g is positive. g**(-2878/201) Simplify ((t*t**(5/2))/t)/(t/(t/t**(5/3)))*(t**(-1/9))**18 assuming t is positive. t**(-7/6) Simplify (((y**(2/7)/y)/y)/y*y)**(1/33)*y**14*y**(-1/2)*y assuming y is positive. y**(2225/154) Simplify z/((z/(z*z*z/(z*z/z**(-5)*z)))/z)*z*z/(z**(-1/3)*z)*(z*z**(1/2))/((z/(z/z**1))/z*z) assuming z is positive. z**(-13/6) Simplify (w/(w*w**(-12))*w*w**(-2/15)*w)/((w**(-2/3)/w)/w)**5 assuming w is positive. w**(136/5) Simplify ((w*w/(w/(w/(w*w*w*w**(-4/9))))*w)/(w*(w/(w/(w**(-1/9)/w*w)))/w))/(w**24*w**(-2)/w) assuming w is positive. w**(-184/9) Simplify l**(-4/7)*l/(l*(l/(l**0*l))/l)*l/((l*(l*(l*l**(3/4))/l)/l)/l)*l*l**(-1/3)/l assuming l is positive. l**(29/84) Simplify w*w/w**(-8)*w*w*w**(-1/22)*w*w/(w/(w**2/w)*w)*w**14 assuming w is positive. w**(593/22) Simplify (k**(-14/3)*k**(19/2))/(k**(1/9)/k**(-2/13)) assuming k is positive. k**(1069/234) Simplify (h**(-9)*h*h**1)/(h**(1/6))**(-22) assuming h is positive. h**(-10/3) Simplify j**(1/11)*j**(-2)*((j*j*j*j*j**(-1/4))/j*j)/((j*j**6)/j) assuming j is positive. j**(-183/44) Simplify (c/(c**16/c)*c)/(c/(c**0*c))*(c**(-9/2)*c)/(c*c**8) assuming c is positive. c**(-51/2) Simplify (s*s/s**(-6)*s**(-6)*s*(s/(s**(2/5)*s)*s)**45)**6 assuming s is positive. s**180 Simplify (r*r/((r*r/(r/r**9)*r*r)/r))**(1/4)/((r/r**(2/29))/(r**(-9/7)*r)) assuming r is positive. r**(-2815/812) Simplify (((h/h**3)/h)/h**9*(h**(-1/4)*h)**(1/30))**(1/72) assuming h is positive. h**(-479/2880) Simplify (x*x**3)**39/(x**(2/17)/(x/x**(-4))) assuming x is positive. x**(2735/17) Simplify (f**(7/2)*f*f/((f/f**(1/3))/f))/(f/(f/(f/((f*(f*f*((f/((f/(f/f**(-5)))/f)*f*f)/f*f*f)/f)/f)/f)))*f**(-13)*f) assuming f is positive. f**(161/6) Simplify ((y/(y*y*y*y/((((y/y**(-3))/y)/y)/y)*y*y*y*y))/y)**(6/5)/((y/y**(3/11))/y**6) assuming y is positive. y**(-172/55) Simplify (s**10)**18/(s/(s/s**(-16))*s*s**(-2/39)) assuming s is positive. s**(7607/39) Simplify ((y**32)**45)**(18/5) assuming y is positive. y**5184 Simplify (a/(a/(a*(a/(a*a/(a/(a/a**(-15)))))/a)))/a**(-1/8)*a*(a/(a**(-8/3)/a))/a*a*a*a*a**(-2/7) assuming a is positive. a**(-1427/168) Simplify (a**(-13)/a*a)/a*a**(-10)*(a/(a*a**0*a*a*a))/(a**(-2)/a) assuming a is positive. a**(-24) Simplify x**4/(x*x**(2/53))*x**(-11)/x*x/(x/(x*x**21*x)) assuming x is positive. x**(740/53) Simplify (w**8/w)**(-11)/(w**(-24)/w)**(-2/3) assuming w is positive. w**(-281/3) Simplify (n**(-1/3))**(-10)*n/n**(-9)*n/n**(2/45) assuming n is positive. n**(643/45) Simplify (n/(n*(n*n**(4/9)/n*n*n)/n))**(1/13)*(n**(-3)*n*n)**41 assuming n is positive. n**(-370/9) Simplify (s**(10/3)*s**(-1/6)*s)/(s*(s/(s*s/(s*s**(-1))))/s*s)**(9/2) assuming s is positive. s**(25/6) Simplify (q**(1/24)/q**37)**27 assuming q is positive. q**(-7983/8) Simplify (b/b**(-11)*b*b)/(b*b**(1/3)*b*b)*b*b*b**(-3/8)/b*b/b**(2/5) assuming b is positive. b**(1427/120) Simplify (w/(w/((w*w**(-12)*w)/w*w)))/(w/(w**(1/5)*w)*w)*(w/(w/(w/(w/(w/(w/(w*(w**(3/5)*w)/w*w))))*w)*w))/w**2 assuming w is positive. w**(-51/5) Simplify (b**(-29)/b*b*b/(b*b**(-4)*b)*b)/(b**(26/5)/((b/b**(-2/51))/b)) assuming b is positive. b**(-7691/255) Simplify (w**(2/15)*w*w*(w*w**(2/9))/w*(w/(w*w*w/(w/((w**(2/7)/w)/w*w))*w)*w)**(-7/5))**(-42) assuming w is positive. w**(-1736/15) Simplify (c/(c**(5/4)*c))**33/(c*c*c*(c**(-32)/c)/c*c**(-23)) assuming c is positive. c**(51/4) Simplify ((x/((x**(-1/6)*x)/x))/x**(2/67))**(-1/18) assuming x is positive. x**(-457/7236) Simplify (w*w/(w*w**(-2)*w)*(w**(4/7)/w)/w)**(-3/17) assuming w is positive. w**(-12/119) Simplify (f**(-6))**(-5/3)/((f**(-5/3)/f*f)/f)**(-9/5) assuming f is positive. f**(26/5) Simplify k**(8/3)*k**(2/43)*(k**(-3/8))**(-25) assuming k is positive. k**(12475/1032) Simplify ((x/x**24)/x)/x**(-22)*x**(5/6)*x*x*x*(x*((x/(x*x/(x/((x**(-22)/x)/x))))/x)/x*x)/x*x assuming x is positive. x**(155/6) Simplify ((y**(-1/14)*y)/y*y**(-2/17))/((y/(y*y**19))/(y*y*y**(-6))) assuming y is positive. y**(3525/238) Simplify ((y*y**(-17/5)*y)/(y**(5/7)*y))**(-3/22) assuming y is positive. y**(327/770) Simplify ((v*v/(v*v**(-8/9)*v)*v)/v**(2/23))**(-1/7) assuming v is positive. v**(-373/1449) Simplify (((x/(x/x**3))/(x/x**(2/3)))/((x/(x*x**(-2/19))*x)/x**(-4)))**(-1/6) assuming x is positive. x**(139/342) Simplify (p**7*p**(12/5))/(p**(2/5)*p**(-2/7)) assuming p is positive. p**(65/7) Simplify (b**8*b**(1/3)*((b/(b/b**(3/4))*b)/b)**(-10))**(-29) assuming b is positive. b**(-145/6) Simplify (h**5*h)**20*(h*h**(1/5))**(-12) assuming h is positive. h**(528/5) Simplify ((w/(w*w*w/w**(-1/3)*w*w*w)*w)**0*(w**1)**(-6/19))**46 assuming w is positive. w**(-276/19) Simplify (p/(p/(p*((p*p**(1/2)*p)/p)/p)))**(-33/5)*(p**(-1)/p)**(-6/13) assuming p is positive. p**(-1167/130) Simplify ((w*w/(w/w**(2/11))*w*w*w*w**(-1))**22)**(-6/37) assuming w is positive. w**(-420/37) Simplify ((r/(r*r/r**(-11)))/((r**(-6)*r)/r)*r*r*r*r**2*r*r**(-3))**(-21) assuming r is positive. r**63 Simplify (((i**0)**(-43))**(3/34))**11 assuming i is positive. 1 Simplify (y**(1/3)*y**(4/5)*((y*y**(-3/2))/y*y)/(y/((y**(-1/7)/y)/y)))**(-1/6) assuming y is positive. y**(527/1260) Simplify ((((c/c**(-16))/c)**(-14))**(1/3))**6 assuming c is positive. c**(-448) Simplify ((k**5*k**(-3/7)/k)**(1/4))**(9/5) assuming k is positive. k**(45/28) Simplify (((y*y**(1/10))/y)**16)**24 assuming y is positive. y**(192/5) Simplify p**(1/5)/(p**(-2/13)/p)*p*p**5*p**11 assuming p is positive. p**(1193/65) Simplify (((w/(w*w*w*w*(w*w*w/(w**(4/7)*w))/w*w))/(w*w*w*w**15))**16)**(2/3) assuming w is positive. w**(-5024/21) Simplify (((t*t/(t*(t**(2/5)*t)/t)*t*t)/t)/t**(-5/2))/(t**(-9)/t*t/((t**(3/8)*t*t)/t)) assuming t is positive. t**(579/40) Simplify f**(-39)/(f**(-24)/f*f)*f/((f*f**(-9))/f)*f/(f/f**(-36)) assuming f is positive. f**(-41) Simplify q**(1/7)*q/q**(1/16)*q*(((q*(q*q*q/q**(2/13))/q)/q)/q)/((q**(4/11)*q)/q) assuming q is positive. q**(41047/16016) Simplify (b**(-5/4))**(-1/6)/(b**(1/4))**28 assuming b is positive. b**(-163/24) Simplify (r**(-6)/r)**25/(r**(-16)/r**(-19)) assuming r is positive. r**(-178) Simplify (c**(1/22)/c**(-9/2))/((c/(c*c/c**(-3/7)*c))/c**(-5)) assuming c is positive. c**(152/77) Simplify ((m**(1/5))**29/(m/((m/m**(-2))/m*m))**(18/5))**(-2/5) assuming m is positive. m**(-26/5) Simplify u**(2/9)/u*u**(-10)*u*u/u**(-35)*u/((u*u*u/(u**24/u))/u) assuming u is positive. u**(434/9) Simplify (k**(-4)*k*k*((k*k**(4/5)/k*k)/k)/k)/(((k**3*k)/k)/(k*k**(-4/3))) assuming k is positive. k**(-83/15) Simplify (v**3/(v*v/v**(-2)))/(v/v**(-2/3)*(v**(-6)/v)/v) assuming v is positive. v**(16/3) Simplify (p**10/(p**41*p))**(-12) assuming p is positive. p**384 Simplify (((((d/d**(-2/27))/d*d)/d)/(d**(-3)*d))**(-42))**2 assuming d is positive. d**(-1568/9) Simplify ((i**2/i)/i)/i*i**(-2/35)*i*(i*i**17*i)/(i/i**(-1/21)) assuming i is positive. i**(1879/105) Simplify (j**(1/2)/j)**44/(j**(-1))**(-10/7) assuming j is positive. j**(-164/7) Simplify (i/(i*i**(-33/2))*i**(-4))/(((i*i**(-1/5))/i)/(i**(-8/11)*i)) assuming i is positive. i**(1427/110) Simplify ((k/k**0)**(-46)*(k**1/k)**(1/27))**(19/3) assuming k is positive. k**(-874/3) Simplify (n**(1/2)/((n/(n*n/(n**(-7/6)/n)))/n))/(n*(n/n**(-1/7))/n)**(-1) assuming n is positive. n**(122/21) Simplify (n**(-15/7)*(n/((n/n**8)/n))/n)/(n**(-11))**17 assuming n is positive. n**(1350/7) Simplify (h*h*h**34*h*h**34/h)/((h*h**(-31)/h*h)/h**(8/7)) assuming h is positive. h**(708/7) Simplify y**(1/11)*y/(y*y**(5/6)*y*y)*(y*y*(y*(y**(-1/11)*y)/y)/y)**(-3/28) assuming y is positive. y**(-389/132) Simplify (k**(-1/19))**(2/167)*k**31*(k*k**(3/8)*k)/k assuming k is positive. k**(821791/25384) Simplify (((q*q**(1/4))/q)**(-10/13)/(q*q**0/q*q)**(-27/4))**(1/21) assuming q is positive. q**(341/1092) Simplify i**15/i*i/(i**(-11)/i)*i**(-2/17)/((i/(i*(i*(((i/i**9)/i)/i)/i*i)/i))/i) assuming i is positive. i**(304/17) Simplify q*q*((q*q**6)/q*q)/q*q**28*q**4*q**(-3/8) assuming q is positive. q**(317/8) Simplify (((k**3*k)/(k*k/(k*k/(k*k**(-5)/k*k))*k))/(k**(-2/19)/(k**(3/7)/k)))**(-12) assuming k is positive. k**(-10428/133) Simplify ((m/(m**(-2)*m))/m)**(-41)/((m/((m*m*m**(-4/9))/m)
{ "pile_set_name": "DM Mathematics" }
m - 3 + m - 2*m - 1 to u*m + a and give a. -4 Rearrange (-w**2 + 2*w**2 + 0*w**2)*(-3 - 11 - 1) + (-5*w + 2*w + 5*w)*(-2*w + 0 + 0) - 3 - w**2 + 3 to the form y + l*w + j*w**2 and give j. -20 Express l + 5*l**2 - 6*l**2 + 18 - l as q*l + u + h*l**2 and give u. 18 Express (2 + 0 - 8)*(u + 0*u - 6*u) as c + j*u and give j. 30 Express -7*i**3 + 9*i**3 - i**3 + 2 + 2*i**3 - 2 + (0*i + i**3 + 0*i)*(2 - 5 + 4) in the form p*i**2 + j + s*i + m*i**3 and give m. 4 Express 809*m**2 - 807*m**2 + 2*m**4 + m - 2 + 1 + 2*m**3 as v + s*m**4 + o*m**2 + n*m**3 + b*m and give s. 2 Rearrange 0*l**2 - 35 + 33 - l**2 - l**3 to the form s + f*l**3 + b*l + w*l**2 and give s. -2 Express (-1 + 0 - 1)*(2*i + 2*i - 2*i) - 3*i + i + 5*i + (0 - 2 + 4)*(2 - 2*i - 2) + 0 - 2*i + 0 in the form j + r*i and give r. -7 Express -11 + 2*a**2 + 2*a**2 + 40 - 3*a**2 in the form p + s*a + r*a**2 and give p. 29 Rearrange -35*h + 0*h + 2*h + 0*h to the form y*h + t and give y. -33 Rearrange -3 - 2*f + 6*f + 6 to the form x + t*f and give t. 4 Rearrange 10*s - 12*s + 20*s + 34*s to u*s + g and give u. 52 Express (-1 + 0*y - 2*y + y)*(3*y - 3*y + 3*y**2) + (0 - 2*y + 0)*(4*y**2 - 2*y**2 + 3*y**2) in the form z*y**3 + h*y + l*y**2 + v and give l. -3 Express (7*f - f + 24*f)*(2 - 4 + 0)*(4 + 2*f - 4) in the form m*f + y*f**2 + w and give y. -120 Rearrange 4*a**4 + 1 - 2*a**2 + 2*a - 4*a**4 + 2*a**4 - 3*a**4 to u*a**3 + h + b*a + y*a**4 + g*a**2 and give h. 1 Express -5 + 21*d + 5 - d**3 as f*d + w*d**2 + o*d**3 + m and give f. 21 Rearrange -141*d + 5*d - 61*d to the form n*d + v and give n. -197 Express (-6*k**4 - 8*k**4 + 3*k**4)*(2 - 1 + 0) + (-k + 0*k - k)*(k**3 - k + k) in the form s*k + r*k**4 + j + c*k**2 + f*k**3 and give r. -13 Express -4*b + b - 52*b + 6*b in the form g + q*b and give q. -49 Rearrange -c**2 + c**2 + c**2 + (-4*c + 2 - 2)*(2*c - 5*c + 2*c) + (-2*c + 0 + 0)*(-2*c + 5*c - 4*c) + 6*c**2 - 2*c**2 - 2*c**2 to y*c + l + h*c**2 and give h. 9 Express 2*w + 3*w**4 - 2*w + 0*w**4 + 1 - w**2 in the form f + y*w + m*w**4 + l*w**3 + q*w**2 and give y. 0 Express -32*n + 69*n - 37*n + 12 - 3*n**3 as a + f*n**2 + y*n**3 + x*n and give x. 0 Express (7 + 3*o - 7)*(-o**3 + 3*o**2 - 3*o**2) + 3*o**4 + o**4 - 2*o**4 as r*o**3 + x + b*o + g*o**4 + u*o**2 and give g. -1 Rearrange 11*a**2 - 7*a**2 - 8*a**2 - 3*a**2 to l*a + f + m*a**2 and give m. -7 Rearrange -9*s**2 + 133*s - 133*s to v + t*s + u*s**2 and give u. -9 Rearrange (-6*o - o + 0*o)*(0*o**3 - 1 - 2*o**3 + 6*o**3) to i*o**2 + a + k*o**4 + q*o + p*o**3 and give k. -28 Rearrange (9*m - 13*m + 7*m - 6)*(2 + 5 - 4) to the form u*m + j and give j. -18 Express 18*b - 5*b**2 + 5*b**2 + 4*b + b**2 as r*b**2 + u + n*b and give n. 22 Express 54 - 18*b - 54 + (1 - 4 + 4)*(b - 4 + 4) + 1 - 2*b - 1 as i + j*b and give j. -19 Rearrange 6*a**2 + 10*a**2 - 2*a**2 + 6*a**2 to the form u*a**2 + g*a + f and give f. 0 Express (d - d - 4*d**2 + d)*(-2*d + 2*d - d)*(6 - 9 - 10)*(3*d - 4*d - d) as a*d**3 + z*d**4 + l*d**2 + k + n*d and give z. 104 Rearrange 5 - o**3 - 11 - 38*o + 6 to the form n*o**2 + d*o**3 + w*o + i and give d. -1 Express (t - 3*t + t)*(-1 + 3 - 5) + (5 - 3 - 4)*(3 - 3 - t) + (9*t - 8*t + 6*t)*(2 - 2 + 1) in the form j + u*t and give u. 12 Rearrange (33*h**2 - 33*h**2 - 6*h**3)*(-h + 0*h + 2*h) + h**4 - 4*h**4 + h**4 to o*h**4 + a*h**3 + q + c*h + d*h**2 and give o. -8 Rearrange -1 + 23*g**3 + 6 - 24*g**3 to the form b*g + z*g**3 + i + c*g**2 and give z. -1 Rearrange b**4 + 2*b + 5*b**2 - 3*b**2 + 2*b**3 - 2*b**4 to the form h*b**3 + f + o*b**4 + u*b + k*b**2 and give h. 2 Rearrange ((1 + 0 - 2)*(-2 + 5 - 1) + (3 - 1 + 0)*(2 - 5 + 1))*(-q**3 - q**3 + 3*q**3) to d + f*q**2 + v*q + a*q**3 and give a. -6 Express 2*a**4 + 3 - a**3 - 3 - a**2 + a - 5*a**2 as z*a**4 + q*a**2 + j*a + h + c*a**3 and give j. 1 Express 3 + 8*s**2 + 2*s**3 + 0*s**2 - 10*s**2 as h*s + v*s**3 + q + x*s**2 and give q. 3 Rearrange -188 - h**2 + 191 + 7*h**2 to the form y*h + q*h**2 + k and give q. 6 Express (-4*p**2 - 2*p**2 + 5*p**2)*(-p**2 - 2 + 2) + 2*p + 7*p**4 - 2*p - 3*p**4 + 2*p**4 - p**4 as r*p**4 + t*p**2 + d + f*p**3 + g*p and give r. 6 Rearrange -103*u - 74*u + 46*u to the form c*u + w and give w. 0 Rearrange -4*v + 5*v + 275 - 275 to x*v + q and give x. 1 Express 31*i + 3*i**2 - 2 - 3 - 36*i + 4 in the form b*i + d + h*i**2 and give b. -5 Rearrange -17 - 16*c**3 - 20*c**3 + 38*c**3 - 2*c to the form y*c**2 + d*c**3 + z + w*c and give w. -2 Express 15*f + 2*f + f - 2*f as u*f + a and give u. 16 Rearrange f**3 + 3*f**3 - 2*f**3 + 4*f**3 - 5*f**3 + 2*f**3 + (-3*f**2 + 4*f**2 + 5*f**2)*(-4 - f + 4) + 3 - 3 + f**3 to r*f**2 + b + k*f**3 + a*f and give k. -2 Rearrange -4*u**3 - 6*u**2 + 8*u**3 + 0*u**3 - u + 4*u**2 to w*u**2 + s*u**3 + c*u + q and give c. -1 Rearrange -2*o - 3*o**2 + 7*o - 3*o - 5*o to d*o**2 + b*o + h and give d. -3 Express 1 + 9*g + 75*g**2 - 4*g**4 + 77*g**2 + 3*g**4 - 150*g**2 as w*g + r*g**2 + c*g**3 + u + x*g**4 and give w. 9 Rearrange -3616*y - 14 + 3616*y + y**3 + 2*y**2 to the form q*y**2 + x + v*y**3 + l*y and give q. 2 Rearrange -c**2 - 2*c**2 + 8 - 4 + 5*c**2 to the form d + b*c + a*c**2 and give b. 0 Rearrange (2*a**3 - 6*a**2 + 6*a**2 + (-3*a**2 + 0*a**2 + a**2)*(-2 - 9*a + 2))*(4*a - 3*a + 0*a) to the form v*a**3 + x*a**4 + s*a + i + o*a**2 and give x. 20 Rearrange (-25 + 3 + 0)*(-2*t**2 - 5*t**2 + 5*t**2) to f + w*t**2 + m*t and give w. 44 Express (-3*n + 3*n + 3*n)*(3 - 4*n - 3)*(3 + 0 - 5) in the form q + d*n**2 + g*n and give d. 24 Rearrange 2*t - 2*t + 2*t**2 + (3*t - 2*t + t)*(-t + 3 - 3) + 0*t**2 - t**2 - t**2 - 919 + 13*t**2 + 919 to the form u*t + f + v*t**2 and give v. 11 Rearrange -3*a + 7 + 4 - 11 to the form n*a + d and give n. -3 Express 49*s - 18*s - 21*s as n*s + v and give n. 10 Rearrange -3*i + 3*i + 0*i**3 + 4*i + 2*i**3 to b + q*i**2 + j*i**3 + m*i and give m. 4 Rearrange (2 + 2 - 3)*(-3 + 3 - 2*n**3) + 7*n**3 + 292 - 292 to the form b*n**3 + p*n + v + r*n**2 and give b. 5 Rearrange 0*j**3 - 4*j - 3*j**3 - 8 + 4*j to the form v + a*j + x*j**3 + s*j**2 and give x. -3 Express -c**3 - 3*c**3 - c**4 - 4*c**2 + 11*c**3 - 10*c**3 in the form j*c**4 + r*c**3 + x*c + d + o*c**2 and give j. -1 Express (-1 + 5*k - 2*k + 4)*(4 - 5 - 2) in the form m + i*k and give i. -9 Express -4 + 3 + 28 + 11 - 2*n in the form h*n + w and give h. -2 Express 6*t + 4 + 1 + 7*t - t in the form g + x*t and give x. 12 Express z + 77*z + 2*z as i + x*z and give i. 0 Rearrange (2 - 4 + 1)*(1049 - 1049 - 73*a) to the form y*a + q and give y. 73 Rearrange 7*j + j**2 - 7*j + 0*j**2 + 2*j**2 + 0*j**2 + (-1 + 1 - 1)*(-3 - j**2 + 3) to t*j**2 + d*j + q and give t. 4 Rearrange (14 - 8 + 13)*(3*i + 5*i - i) to the form w*i + k and give w. 133 Express -14 + 13 - h**2 - 3*h**2 in the form n*h + s*h**2 + g and give s. -4 Express 2 - 2*t**2 - 1 - 1 - 1 as z*t + h*t**2 + a and give a. -1 Express 17*w**2 + 1 - 17*w**2 - 5*w**3 + (w**2 - 4*w**2 + 2*w**2)*(3 + 3*w - 3) in the form c*w**2 + h*w + j + a*w**3 and give a. -8 Express (h + h**3 - h)*(-2*h + 2*h + h + (1 + 4 - 2)*(h - 2*h + 6*h)) in the form b*h**4 + s + a*h + z*h**3 + v*h**2 and give b. 16 Express 10*i**2 - i**3 - 4*i - 3*i**3 - 10*i**2 in the form g*i + n*i**3 + v + q*i**2 and give g. -4 Rearrange (-2 + 1 - 1)*((17 - 10 + 14)*(-1 + 1 - 2*n) + 3 - 3 + n)*(-4*n + 3*n - n) to the form m + i*n**2 + w*n and give m. 0 Express (-2 - 1 + 5)*(4*o - 4*o - 2*o) + (0 + 1 - 2)*(1 - 1 - o) in the form d*o + j and give d. -3 Express (-1 + 1 - 2*a)*(5*a + 3*a + 5*a) - 3*a**2 + 4*a**2 + 2*a**2 + (-a + a + a)*(-a + 5*a - 5*a) in the form q*a**2 + c*a + t and give q. -24 Express (3*h + h - 5*h)*(-3*h + 2*h + 2*h) + 3 - 3 + 2*h**2 + h**2 - h**2 - 3*h**2 + 3*h**2 + 0 + 0 as f + z*h + l*h**2 and give f. 0 Express (5*l**2 - l**2 - 3*l**2)*(-2*l**2 + 3*l**2 + 0*l**2) + 2045 - 38*l**4 - 2045 as a*l + q*l**4 + c*l**3 + z + v*l**2 and give q. -37 Express -7*n + 3*n - 12*n in the form y*n + t and give t. 0 Rearrange 1 + 3 - 11*f - 4 to the form w + i*f and give i. -11 Rearrange (2 + 3 - 7)*(-3*g**2 + 3*g**2 + 2*g**3) - 23*g + 23*g + 16*g**3 to the form p + t*g**2 + h*g + a*g**3 and give a. 12 Rearrange (-1 + 4 - 1)*(j + j - 5*j)*(2 + 5 - 2 - 2 + 4 - 1 + (-1 + 2 + 0)*(-2 - 1 + 1)) to the form g + u*j and give u. -2
{ "pile_set_name": "DM Mathematics" }
= 0, 0 = -w - b + 13. Suppose -w*a - 200 = -16*a. What is the tens digit of a? 4 Suppose 342 = d - 276. What is the units digit of d? 8 Suppose -10*y + 7*y + 642 = 0. Let p(g) = -g**3 + g**2 + g. Let l be p(0). Suppose l = -4*u + y + 10. What is the tens digit of u? 5 Suppose s + 92 = 3*c, 4*c = 5*c - 5*s - 54. What is the units digit of c? 9 Let q(t) = t**3 + 25*t**2 + 20*t - 46. Let l be q(-24). Let g = 58 - l. What is the units digit of g? 8 Suppose 0 = 14*y - 4*y - 7210. What is the units digit of y? 1 Let a be 1/(-2) - 150/20. What is the tens digit of (-6)/a*(74 + 2)? 5 Let h = 8 - 8. Suppose -a + 9 + 46 = h. What is the tens digit of a? 5 What is the units digit of (-33962)/(-24) + 2/(-24)? 5 Suppose 0*k + 26 = k + 3*n, 5*k = -2*n + 130. Let c = 29 - k. What is the units digit of 4/12*c + 4? 5 Suppose 39*m - 1436 = 5662. What is the units digit of m? 2 Let p be (-1 - 0)*(-15 - -2). Suppose -2*a + p = 3. Suppose l - a*l = -4. What is the units digit of l? 1 Let a(t) = t**2 - 2*t - 7. Suppose -19*l = -22*l - 18. Let x be a(l). Suppose -x = -2*m + 35. What is the units digit of m? 8 Let x(w) = 36*w**3 + 2*w**2 + 5*w - 8. Let b = 104 - 102. What is the tens digit of x(b)? 9 Suppose 2943 = 3*n - 3*h, 288 = -4*n - 4*h + 4244. What is the units digit of n? 5 Let t(o) = -o**3 + 6*o**2 - 5. Let w be t(6). Suppose 2*s = -0*s + 20. What is the tens digit of w/(s/(-42)) + 2? 2 Let c(x) = -2*x**2 + 5*x + 4. Let b be c(-7). Let m = -21 - b. What is the hundreds digit of m? 1 Let w(u) = -391*u - 75. What is the units digit of w(-4)? 9 Suppose 0 = -2*j - m + 609, -627 = -2*j - 0*m + 5*m. What is the hundreds digit of j? 3 Let m(j) = j**3 + 17*j**2 + j - 1. Suppose 2*r - 30 = -4*r. Let x(u) = u**3 + 16*u**2 + 2*u - 1. Let y(p) = r*x(p) - 4*m(p). What is the units digit of y(-11)? 4 What is the tens digit of 20 + (-2)/7 + (-336)/(-147)? 2 Let r = -147 + 243. Let k = 106 - r. What is the units digit of k? 0 Let j(g) be the third derivative of -g**5/60 - 11*g**4/24 - 17*g**3/6 - 6*g**2. Let k be j(-14). Let m = k - -90. What is the units digit of m? 1 Suppose -4*l + 6239 = 3*u, 4*u = 8*l - 3*l - 7822. What is the tens digit of l? 6 Suppose -3*r + 2*p = -7, -2*p + 3 - 5 = 2*r. Let v be 137 + (-4 - -5)/r. Suppose -5*w = -7*i + 2*i + 170, -v = -4*i + 2*w. What is the tens digit of i? 3 Let h = -17 - -20. Suppose -198 = h*d - 2*q, 3*d - 4*q + 199 - 1 = 0. Let v = -33 - d. What is the tens digit of v? 3 Let z be 6*1 - (-9 + 5)/(-2). Suppose -2*g = -z*l + 359 + 187, -g = -4*l + 545. What is the hundreds digit of l? 1 Suppose -48*z + 6*z + 24402 = 0. What is the hundreds digit of z? 5 Let c(r) = 2*r**3 + 46*r - 8. What is the units digit of c(8)? 4 Let r(m) = m**3 - 10*m**2 + 11*m - 15. Let o be r(9). Suppose -3*j - 2*f = -2*j - 46, 163 = o*j + f. What is the units digit of j? 6 Suppose -5*h + 8*j - 4*j + 2252 = 0, -884 = -2*h - 4*j. Let k be 1*-5*h/(-40). Let b = k - 36. What is the tens digit of b? 2 What is the tens digit of (4 - (-130)/(-25))*-575? 9 Let s(d) = d**2 + 9*d + 9. Let h be s(-7). What is the units digit of (33 + -2)*(-2)/(3 + h)? 1 Let l(w) = w - 15. Let f be l(14). What is the units digit of 3 + -5 - 27*f? 5 Suppose -2*a - 16 = 4*s - 88, s - 4*a = 27. Suppose -560 = -s*z + 14*z. What is the tens digit of z? 1 Let d = -201 - -408. Suppose b = -2*b + d. What is the units digit of b? 9 Suppose -2*b - 4*v = -288, 0*b = -b - v + 146. Suppose 2*n + 2*r - r = b, 0 = -r - 4. What is the tens digit of n? 7 Let l(h) = 5*h - h - 2*h + 55. What is the units digit of l(-26)? 3 Let c = 3459 - 2449. What is the hundreds digit of c? 0 Suppose 5*v - 2136 = -5*u + 3154, -5*u - 4*v = -5292. Suppose -38*r + 34*r = -u. What is the hundreds digit of r? 2 Suppose 0*w - 240 = -4*w. Suppose 0 = -7*c + 66 + 11. Let n = w - c. What is the tens digit of n? 4 Let s(c) = c**2 - c - 1. Let h(q) = -q**2 + q + 2. Let g(b) = 2*h(b) + 3*s(b). Let u be g(1). What is the units digit of (-7)/((-1)/(u + 0))? 7 Suppose 0 = 4*w - 4*b - 1076, 0 = -5*w + 4*b + 736 + 605. Suppose -4*h - 2*c = -1090, 2*h - h + 2*c - w = 0. What is the units digit of h? 5 Let n = 68 - 48. Suppose 3*w + n = 5*w. What is the tens digit of w? 1 Let o = 7012 + -3796. What is the units digit of o? 6 What is the tens digit of -1*2*-1*(-9736)/(-16)? 1 Let b = 20 + -17. Suppose -15 = -b*v - 0*v. Suppose -2*n = x - v, -5*n = x + 4*x - 20. What is the units digit of x? 3 Let t be -1 + 4 - (252/(-1))/2. Suppose l + 3*j - 126 = 6*j, -t = -l + 4*j. What is the tens digit of l? 1 Let j be (-10)/6 + (-6)/18. Let x = 2 + j. Suppose 0*r + r - 5 = x. What is the units digit of r? 5 Suppose 28 = b + 5*w, b - 9*w = -4*w - 2. Let v = 13 - b. Suppose 12 - 68 = -4*s + 5*u, 4*s - 2*u - 44 = v. What is the units digit of s? 9 Let m(a) = 3*a + 674. What is the hundreds digit of m(0)? 6 What is the tens digit of 1144 + (7 + 1)*-1? 3 Suppose 3*h - o = 12, 0 = 5*h - 6*o + 3*o - 20. Suppose 3*a + 5*i + 2 - 70 = 0, -4*a + h*i = -80. What is the tens digit of a? 2 Let n(k) = -54*k + 23. Suppose 16*m - 12*m = -16. What is the tens digit of n(m)? 3 Let l = 9 - 9. Let d be l/(3 + -4 + 0). Suppose 2*q - 3*g + g = 12, d = -q - g. What is the units digit of q? 3 Suppose -3*y - 96 = -5*y. Suppose -2*r = -0*r - y. Suppose -4*z = -5*z + r. What is the tens digit of z? 2 Let k(a) = 21*a + 285. What is the units digit of k(30)? 5 Let m(b) = 6*b**2 + 4*b + 34. What is the units digit of m(8)? 0 Let n(m) = -7*m - 86. Let v be n(7). What is the units digit of -1*8*(-17)/((-204)/v)? 0 What is the units digit of 4/(-4) - -307 - 6? 0 Suppose 2*c + 62 = c. Let x = 92 + c. What is the units digit of x? 0 Let c = -455 + 1064. Suppose -2*h - 4 = 0, 3*h + c - 118 = 5*p. What is the tens digit of p? 9 Let p(b) = 2*b**3 - 2*b**2 + 12*b + 20. What is the units digit of p(7)? 2 Let u(v) = -6*v**3 - 9*v**2 - 16*v - 6. Let t be u(-4). Suppose -4*x + t = 2*w, 5*w - 34 - 172 = -3*x. What is the units digit of x? 7 Suppose -29*i + 33*i - 8 = 0. Let u be (-3)/(2*1/(-6)). Suppose -u = -5*n + i*n. What is the units digit of n? 3 Suppose s = 5*s. Let l = 194 - 76. Suppose a = -3*m - s*m + 75, -4*a = 5*m - l. What is the units digit of m? 6 Let b be ((-30)/(-8))/((-1)/(-4)). Suppose 0 = 3*i - b, 5*i = 4*v + 79 + 126. Let f = v - -74. What is the units digit of f? 9 Let q = 106 + -46. Let n = q - -3. What is the tens digit of n? 6 Let h = 29 - -16. Suppose q + 8 = 3*d, 0 = 5*q + 5*d - 0*d + 140. Let u = q + h. What is the tens digit of u? 2 Suppose -1538*x = -1540*x + 2246. What is the thousands digit of x? 1 Let b = 1 - -4. Suppose -4*o + b*l + 69 = 0, o - 9 = -l - 3. What is the tens digit of o? 1 Suppose 5*h + 464 - 159 = 0. What is the units digit of h*1/(-1)*1? 1 Suppose 0 = 5*m - 7*m + 316. Suppose m - 950 = -5*j + 3*a, j = 2*a + 164. What is the hundreds digit of j? 1 Suppose 2*k - 394 = d + 86, 2*d = 0. Suppose -5*c + 7*c = -q + k, -4*q = 3*c - 955. What is the tens digit of q? 3 What is the tens digit of 2891/7 + 3 + 16/(-2)? 0 Suppose -4*f + 5*c = -24, 2 - 1 = 5*f + c. Let j be 0/5 + 30*f. Suppose 4*b + 10 - 30 = 0, l + 2*b - j = 0. What is the tens digit of l? 2 Suppose 7983 + 2718 = 9*g. What is the hundreds digit of g? 1 Suppose -4*d = 2*s - 450 + 144, -2*s - d = -318. Suppose 5*w - s - 84 = 0. What is the tens digit of w? 4 What is the tens digit of 87828/143 + (-2)/11? 1 Let h(z) = 21*z. Let s be ((-4)/(-8))/((-3)/(-6)). Let r be h(s). Suppose 0 = 5*f - 2*f - r. What is the units digit of f? 7 Let g = -146 + 90. Let l be 1 + -1 + g/(-1). Suppose -4*o + 72 = -l. What is the tens digit of o? 3 Let n(t) = 13*t**3 + 2*t**2 + 10*t + 21. What is the units digit of n(4)? 5 Let t = 15 + -11. Suppose -t*j + 280 = -0*j. Suppose 0*k + 5*v = -4*k + j, 3*k + v - 58 = 0. What is the units digit of k? 0 What is the tens digit of ((-1287)/(-18))/(1/6)? 2 Suppose -13*o = -11*o - 200. What is the units digit of o? 0 Suppose -j - 1970 = -2*s + 365, 4650 = 4*s + 2*j. What is the hundreds digit of s? 1 Suppose 509 = 4*j - 4*o - 1155, -3*j + 2*o = -1244. What is the hundreds digit of j? 4 Suppose k - 2*p - 423 = 0, 3*p + 1433 = 5*k - 647. What is the units digit of k? 3 Suppose 2 + 0 = r. Let x be 1*(-4)/r - 31. Let i = -18 - x. What is the units digit of i? 5 Let i(a) = -a**
{ "pile_set_name": "DM Mathematics" }
-3)/((-288)/144)? -3 Calculate (3/((-90)/4))/((-1)/3). 2/5 Evaluate (-126)/(-56)*-4 + 10. 1 What is the value of (8/(-3))/((-18)/(-54))? -8 Evaluate (-450)/2250*((-12)/(-4) - -7). -2 Evaluate -16 + 2 + 180/20. -5 Calculate (2049 - 2074)*(-6)/(-40). -15/4 What is the value of -4 + 52/14 + (-3 - 12) + 13? -16/7 What is the value of ((-1104)/(-312))/23 + 2882/(-312) - -9? -1/12 What is the value of (2*210/45)/(-4*(-3)/18)? 14 Calculate 1 + -3 - (-223 - -222). -1 What is ((-81)/297)/(27/18)? -2/11 What is (-26)/(-24) + 6/(-8)? 1/3 (-369)/9 - 37545/(-915) 2/61 Evaluate 2/30*370/444. 1/18 Calculate 10/16 + 1998/(-4144). 1/7 Evaluate ((-1242)/12)/9 + 10 + 50/(-4). -14 Calculate (-87 + 98 + 46/(-4))*38. -19 Evaluate (500/(-110) + 2)*33/(-6). 14 What is the value of -28 - ((-95)/(-32) - (-119)/3808)? -31 -8*6/(-80) - (-4)/(-4)*1 -2/5 Evaluate -12 + -4 + 1800/112. 1/14 Evaluate 10/(-1)*(-4)/88*(-5340)/(-2225). 12/11 (-156)/(-65)*(-85)/(-17) 12 What is the value of -7 + ((46/6)/((-298)/(-447)))/2? -5/4 Calculate (3 - 164/56)/(2*(-4)/(-48)). 3/7 ((-2)/5)/(-45 - (-16182)/360) 8 Evaluate 19/(-3) + (-13 - (1 - 21)). 2/3 What is the value of (-15)/18*1962/(-545)? 3 ((-1631)/(-392) + (-7)/(-56))*322/69 20 Evaluate 35/630 + (39/270 - 1). -4/5 What is 98/(-56) - 247/76? -5 ((-1365)/(-175) - (9 + -1))/(377/65) -1/29 -3*(-4)/(-32) + 1050/6000 -1/5 Evaluate (-344)/(-645) - (48/10 - 4/1). -4/15 What is (-250)/9 - ((-23693)/261 + 91)? -28 What is (374/(-561))/((-6)/(-153))? -17 What is (12/560*15)/((-6)/(-14))? 3/4 What is the value of (-72)/270 - 2/(-15) - 256/(-120)? 2 Evaluate (5/(-20))/((-1)/28) - 111/15. -2/5 Evaluate (1/4)/((-2)/14*(-518)/(-592)). -2 What is the value of (-4 + 36/10)*(-35)/(-28)*-18? 9 What is the value of (7*(-108)/2520)/(6*69/24)? -2/115 What is the value of -9 + 276/30 + 10/6 + -2? -2/15 Calculate ((-1920)/(-2400))/(4/2). 2/5 ((-112)/(-30) - (-4)/(-10))*(-168)/490 -8/7 Calculate 1190/31654 + (-1)/7. -2/19 Evaluate (-74)/(-210) - ((-636)/477)/((-14)/3). 1/15 Evaluate (-22*24/(-3696))/(1/7). 1 Evaluate (-6*(-12)/(-54))/(-2*(-20)/(-30)). 1 Evaluate 54/(-7) + 810/(-2835). -8 2147/171 - (-20)/45 13 Calculate -875 + 878 + (1 - 1 - 9). -6 What is 28 - 17 - (60/8 - -4)? -1/2 Evaluate -2*(-219)/(-60) + (38/10 - 2). -11/2 Calculate 41 + -34 - -73*4/(-40). -3/10 Calculate -11 - (1 - -20) - (7 + -24). -15 4/(-84)*((-20)/(-12))/((-10)/6) 1/21 20358/(-2349)*(-24)/26 8 Evaluate (44/264)/(774/189 - 4). 7/4 Calculate (43/(-817))/((-3)/6). 2/19 14/(-147) - 384/(-63) 6 What is the value of 24 + (-46 - 368/(-16))? 1 Evaluate (-2 - 4/(-10)*9)/(6048/8640). 16/7 Calculate ((-1)/(-9))/((-81)/54 + 1). -2/9 What is (32/80)/(4 - 948/240)? 8 What is ((-76)/95 - 13) + 3 + 12? 6/5 Calculate (-48)/3672*-17*(-10 - -55). 10 Calculate 5/(1890/(-729)) - 2/(-1). 1/14 (98/9 - 14)/((-2)/18) 28 What is the value of -106*2/20 + (-30)/(-50)? -10 What is the value of (-19 - -28) + 4/(-4)*9? 0 1162/166 + 6/4*4/(-3) 5 Evaluate (-2)/(-25) - (-26390)/(-1750). -15 (-44 - -39) + 66/30 -14/5 0 - 51/(-11) - (243 + -238) -4/11 Evaluate 4/32 + (-5110)/560. -9 What is 126/(-77)*110/(-15)? 12 What is the value of (9/12)/(20/80)? 3 What is the value of ((-18)/4)/(16*18/768)? -12 Calculate (-32 + 40)/(2 + -4). -4 What is the value of (-8)/(-12) + 15/(135/(-123))? -13 What is the value of 3/(-9)*(17/10 - (-9)/(-6))? -1/15 What is -6*(-112)/(-1440) - 6/(-9)? 1/5 (-30 - 646/(-38)) + 38 25 What is (-3)/((-776)/(-48) - 16)? -18 Calculate ((-1275)/90 - -16) + (3 - 5). -1/6 Evaluate (-10875)/(-1218) - (1 + 8). -1/14 (21723 - 21707)*((-1)/(4/(-6)) - 1) 8 What is the value of 1/23 + (-334656)/13363? -25 What is the value of 1 - ((-46)/(-276))/(1/10)? -2/3 Calculate 1/((-1)/12) + (-3500)/175. -32 (-9)/30*((-6119)/261 - -23) 2/15 What is 95 - 117 - (-385)/7? 33 What is (-248)/434*2/(-8)? 1/7 What is the value of 6 - 931/140 - 25/(-20)? 3/5 Calculate (-705)/(-94)*(14/6 - 3). -5 10/55 - 5/110*26 -1 What is 40 + -36 + (-70 - -48)? -18 (-5*40/(-800))/(7/(-36)) -9/7 What is (((-18)/(-3))/(-1*6))/(0 - -10)? -1/10 Evaluate 10 - ((-891)/(-135) + 0 + 2). 7/5 4/24 + 9*(-112)/2592 -2/9 Evaluate 671/(-77) + 99/11. 2/7 Evaluate (-3 - (-248)/64)/((-65)/(-1560)). 21 (15/12)/1*(-11 + -16 + 23) -5 (-121)/(-22)*(-20)/55 -2 Evaluate (-278)/(-13) + 16940/(-770). -8/13 Evaluate (11 + -10 - (124/(-14) + 5)) + -5. -1/7 What is the value of 4/66 + 2240/3696? 2/3 What is (0 - (-3)/(-2))/(935/238 + -4)? 21 What is the value of ((8/(7 + -11))/3)/(72/(-324))? 3 What is the value of (-8)/140 + 21/(-490)? -1/10 Calculate ((-782)/(-1173))/((8/(-372) - 3) + 3). -31 What is (1734/(-425) - -4)*1/2? -1/25 Calculate (-3)/(-2)*20/6*341/(-155). -11 Calculate (-168)/8400 - (-2)/(-25). -1/10 What is the value of ((-21)/140)/(((-14)/168)/(1/(-9)))? -1/5 What is 42/(-45) + 39/117? -3/5 -1*60/25*5 -12 What is the value of (8/(-20))/((-444)/60 - -4)? 2/17 Calculate (-120)/(-60) - (-105)/(-55). 1/11 Calculate (-70)/350 + (-273)/(-15). 18 -1 + (-2)/14 + (-4 - (-710)/70) 5 What is the value of (15/(-30))/((-5)/100)? 10 What is ((-495)/162 + 3)/(1 + 208/(-195))? 5/6 Evaluate 1368/399*3/(-9). -8/7 Evaluate (-1080)/30*8/16. -18 What is (-1 - 71/(-65))*(15 + (-400)/32)? 3/13 What is the value of 28*12/80 + (-8)/(-10) + 5? 10 What is (-840)/(-84) - 74/8? 3/4 Calculate -1 + 8 + 54/(-9) + 1*-3. -2 Calculate 11/33 - ((-4)/(-3) - 351/135). 8/5 12 + -5 + (1 - 2) - (-122 - -147) -19 (12/70)/((45/(-6))/(210/(-60))) 2/25 Calculate ((-2)/(-8))/((-1475)/(-1180)). 1/5 (38/1045)/(63/(-231)) -2/15 (6*2/10)/(1377/(-85) + 11) -3/13 What is (-2)/60 + 80/240? 3/10 -1 + ((-32)/18 - -2 - 95/(-99)) 2/11 What is the value of (-348)/16 + 2/(-8)? -22 (-24)/10 + 30/(-1650)*-22 -2 Evaluate (-1003)/354 + (-3)/(-2)*2. 1/6 Evaluate (11/(-5))/((-1511)/(-7555)). -11 What is (72/(-15))/(-5 + -6*63/(-70))? -12 What is the value of 3/33*(7 + (-1022)/168)? 1/12 0 - 7 - -885*14/1750 2/25 Calculate 48/(-42)*-56*(-25)/10000. -4/25 What is the value of (2/12)/(2928/(-192))*(-9)/(-3)? -2/61 Evaluate (219/(-24))/(-1) - 63/504. 9 332/2158 - (-2 + (275/13 - -2)) -21 What is (-1533)/105 + 15 + 28/(-95)? 2/19 Calculate -4 - ((-138)/92)/(6/(-8)). -6 Evaluate 1/(7 + (-15 - -9)). 1 Calculate (-23998)/124384 - (-2)/32. -3/23 Calculate (-1764)/(-156) + -11 + 432/117. 4 What is (2 - 14) + (-158 - -156)? -14 What is the value of 2/(-720)*-12*(-117)/13? -3/10 What is the value of 9/(6 + 3)*(2 + 10)? 12 What is the value of (1 - 12)*15/60? -11/4 Calculate 3056/(-1146)*21/2. -28 Evaluate -7 - (-916)/(-1584)*-4*3. -2/33 28/(-35) - (352/(-20))/(-8) -3 (54234/(-3144))/((-6)/(-8)) -23 Calculate (-1)/(82/(180400/2805) - (-1)/8). -5/7 Evaluate 224/(-168)*(-6 - (-204)/16). -9 What is (-1026)/(-38) + (0/7 - 9)? 18 What is the value of (-8)/14 + 1184/518? 12/7 Evaluate -11 + ((-8)/10)/((-6)/(-15)). -13 11 - 6 - (-124)/(-24) -1/6 What is the value of (6 - 12)*((-38)/21)/(-19)? -4/7 Evaluate (-2072)/(-4070) - (-2)/22. 3/5 What is (96/36 + -10 + 10)*3? 8 What is 42/(-10) + 40/150*15/20? -4 (-16)/14 - (6/2)/(9 - 12) -1/7 What is -13 - (-1881)/143 - (-9 - 1375/(-143))? -6/13 -13 + 12 - 6/36*-6 0 3/(2 - (-95)/(-76)) 4 What is 1 + 6 - ((-51)/9)/(12/36)? 24 Calculate (4 + -1)*(37 - 43)*1/243. -2/27 1/(-2) + ((-15)/5)/30 -3/5 1 + 47/(-15) + 72/540 -2 Calculate (-27560)/1248 + (-1)/(-12) - -10. -12 Evaluate 44/(-33) + (-138)/(-90) - 111/105. -6/7 ((-3)/(-9))/((-4)/(-84)) - (-10 - -12) 5 What is the value of (-8)/(-4) + -12 + (-280)/(-30)? -2/3 Calculate (-1763680)/(-58890) + 4/78. 30 Calculate 1*2/(-8) + (-265)/(-160)*8. 13 What is the value of (40 - 35)*(4/(-3))/(32/(-72))? 15 112/504*(-27)/6 -1 Evaluate (2/(-22))/((-732)/(-1342)). -1/6 Evaluate (89 + -84 - 35/8)*(-200)/(-175). 5/7 Calculate 248/180 - (5/((-135)/(-156)) + -6). 8/5 Calculate ((-3 - -2)*2 - -8) + -8 + 36. 34 What is 74/(-296)*1*-1*3? 3/4 Calculate (-2160)/792 - (7 - 10). 3/11 Evaluate (48/160)/(-6 - 36/(-8)). -1/5 Evaluate ((-6)/(-15))/((-3)/(-120)*-28). -4/7 Calculate -1 + 4 + (-15)/6 - (-87)/(-116). -1/4 Evaluate 27 + (-26 + -16 - -27). 12 8446/(-697) + (-24)/(-2) - (-36)/17 2 Evaluate (2/(-19))/((-248)/1178)*(-4)/19. -2/19 11 - 4 - (43 - 13) -23 What is the value of ((-1935)/(-675) + (-2)/10)*(-8 - -11)? 8 288/192*2/162*-4 -2/27 What is the value of (1215/
{ "pile_set_name": "DM Mathematics" }
0763 What is 9294357.31 rounded to the nearest one hundred? 9294400 What is 732.3098292 rounded to the nearest 10? 730 What is -34276275.46 rounded to the nearest 100000? -34300000 Round 0.000687560989 to 5 dps. 0.00069 What is 22932088.7 rounded to the nearest 100000? 22900000 What is 12403149.39 rounded to the nearest ten thousand? 12400000 Round -245147.1793 to the nearest one hundred. -245100 What is -35.64568472 rounded to the nearest ten? -40 Round -0.04526661075 to 5 dps. -0.04527 What is 34304.4696 rounded to the nearest integer? 34304 What is -0.0019500617 rounded to seven dps? -0.0019501 What is 845.65314 rounded to the nearest one thousand? 1000 Round -2.46083479 to 1 dp. -2.5 Round 188740020.8 to the nearest 1000000. 189000000 Round -0.0007001381484 to six dps. -0.0007 What is -0.000029436567 rounded to 7 decimal places? -0.0000294 What is -149.2261423 rounded to zero decimal places? -149 Round -573.4834049 to the nearest 10. -570 Round 3.5962781 to one decimal place. 3.6 What is -84.5021994 rounded to the nearest ten? -80 What is 2986.98652 rounded to one dp? 2987 What is 0.0000717543357 rounded to five decimal places? 0.00007 What is 411603411.5 rounded to the nearest 1000000? 412000000 Round 0.00000119793817 to seven decimal places. 0.0000012 Round -5963465.86 to the nearest one hundred. -5963500 Round 230021.3841 to the nearest 1000. 230000 What is 0.0283109027 rounded to 5 decimal places? 0.02831 Round 8806.77573 to the nearest one thousand. 9000 Round 0.000000480538 to 4 dps. 0 Round -0.011434186023 to six dps. -0.011434 Round 0.000430291849 to 7 dps. 0.0004303 What is -3.4070003 rounded to three dps? -3.407 What is -7355398.8 rounded to the nearest 1000000? -7000000 What is -1.852835482 rounded to 4 decimal places? -1.8528 What is -0.000742064938 rounded to 4 decimal places? -0.0007 Round -0.001212229218 to five dps. -0.00121 Round 0.003295868908 to 7 decimal places. 0.0032959 Round -0.00355333105 to four dps. -0.0036 What is 8953.7906 rounded to the nearest one thousand? 9000 What is 187190.95198 rounded to the nearest 100? 187200 Round 0.00013680108971 to 7 dps. 0.0001368 Round -67.747115 to 1 decimal place. -67.7 Round 0.122486124 to four dps. 0.1225 What is -0.0002736138121 rounded to six decimal places? -0.000274 Round 1600255.51 to the nearest one hundred. 1600300 Round 109052151.73 to the nearest 1000. 109052000 Round 0.0011503315874 to six dps. 0.00115 What is -0.00508152259 rounded to four dps? -0.0051 What is -0.00445211836 rounded to 6 dps? -0.004452 Round 0.0408187472 to 4 dps. 0.0408 Round -64101.53066 to the nearest 10000. -60000 Round 84.2978414 to two decimal places. 84.3 What is -5.34384233 rounded to 0 decimal places? -5 Round -0.006459598706 to 6 dps. -0.00646 Round 0.00003640622487 to five decimal places. 0.00004 Round 188136.6662 to the nearest ten. 188140 What is -0.05737447191 rounded to 4 decimal places? -0.0574 What is -24506.2154 rounded to the nearest 100? -24500 Round -2377.7725 to the nearest 1000. -2000 What is 2171.638088 rounded to the nearest 100? 2200 Round -30851166.4 to the nearest one hundred thousand. -30900000 Round 533.6432623 to the nearest ten. 530 What is -0.0005108089 rounded to seven dps? -0.0005108 What is -0.00030636226 rounded to seven dps? -0.0003064 What is 0.4530616 rounded to 2 decimal places? 0.45 Round 3204377200 to the nearest one million. 3204000000 What is 4.7545459 rounded to 1 decimal place? 4.8 Round -0.377976313 to three decimal places. -0.378 What is -53777298 rounded to the nearest 1000000? -54000000 What is 335037.371 rounded to the nearest one hundred thousand? 300000 What is -0.1335905503 rounded to five dps? -0.13359 Round -67698.0349 to the nearest 1000. -68000 What is 6519.022015 rounded to the nearest integer? 6519 Round -0.13675334873 to 3 dps. -0.137 What is 414689.942 rounded to the nearest one hundred? 414700 What is -0.1304065025 rounded to 1 dp? -0.1 What is -38473.3643 rounded to the nearest 10000? -40000 Round 2.74129392 to 4 decimal places. 2.7413 What is 0.001025829626 rounded to five decimal places? 0.00103 What is -24.347286 rounded to the nearest integer? -24 Round -751.362542 to the nearest ten. -750 Round -172736318.86 to the nearest 1000000. -173000000 What is -84714.9416 rounded to the nearest one thousand? -85000 What is 0.0000397998584 rounded to six decimal places? 0.00004 What is -1789088.84 rounded to the nearest ten thousand? -1790000 What is -0.0000998965863 rounded to 5 dps? -0.0001 Round 28.98801092 to one decimal place. 29 What is -658593.96 rounded to the nearest one hundred thousand? -700000 Round -0.00018120072 to seven dps. -0.0001812 What is 0.217646333 rounded to 4 dps? 0.2176 What is -5987180.4 rounded to the nearest one hundred thousand? -6000000 Round -1288.8758 to 0 decimal places. -1289 Round 1160.19347 to the nearest integer. 1160 What is 0.000581627079 rounded to 4 decimal places? 0.0006 Round 9.84672346 to three dps. 9.847 What is -13034.304977 rounded to the nearest integer? -13034 Round -0.034173508 to five decimal places. -0.03417 Round -53533.298 to the nearest one thousand. -54000 Round 724.0027866 to the nearest ten. 720 What is 0.29697512 rounded to four dps? 0.297 What is 3824.12241 rounded to the nearest ten? 3820 Round 7328482.45 to the nearest 100000. 7300000 Round 461946601.3 to the nearest 10000. 461950000 Round 0.395249803 to 2 dps. 0.4 What is 0.000025690299 rounded to seven decimal places? 0.0000257 Round 202143.5 to the nearest one hundred. 202100 What is 0.0000006634847007 rounded to seven decimal places? 0.0000007 What is 0.120213895 rounded to 5 dps? 0.12021 Round 100037904 to the nearest one million. 100000000 Round -262.4999847 to 1 decimal place. -262.5 What is 2.4677448 rounded to the nearest integer? 2 What is -4.824973148 rounded to one decimal place? -4.8 Round -0.0012951382 to three decimal places. -0.001 What is 7.79029255 rounded to the nearest integer? 8 What is 13806188 rounded to the nearest 10000? 13810000 What is -2751912.421 rounded to the nearest 10000? -2750000 What is -249731.35 rounded to the nearest one thousand? -250000 What is -0.8186941 rounded to three decimal places? -0.819 What is 27021955.23 rounded to the nearest 10000? 27020000 What is 247171.9392 rounded to the nearest 10000? 250000 What is -2062671600 rounded to the nearest 1000000? -2063000000 What is -1.182959512 rounded to 2 dps? -1.18 What is -0.000380578346 rounded to 4 decimal places? -0.0004 Round -0.000001023131286 to six dps. -0.000001 Round 0.027533586 to 5 decimal places. 0.02753 Round 0.242508184 to 4 decimal places. 0.2425 What is -11.46478652 rounded to 4 dps? -11.4648 Round 0.00565675383 to 4 dps. 0.0057 Round 0.00000017422152 to 7 dps. 0.0000002 Round -265257.3 to the nearest one hundred. -265300 What is -0.01442921172 rounded to four dps? -0.0144 What is 56.774113 rounded to 0 decimal places? 57 What is 0.00679287214 rounded to three dps? 0.007 What is -1555323.79 rounded to the nearest one hundred thousand? -1600000 What is 2249.5044 rounded to 0 dps? 2250 What is -4.222937 rounded to 0 decimal places? -4 Round -0.000929621178 to 7 decimal places. -0.0009296 Round 24003805630 to the nearest 1000000. 24004000000 Round 0.0489348873 to five dps. 0.04893 What is -550345925 rounded to the nearest 100000? -550300000 Round 0.00058510485 to 5 dps. 0.00059 What is 0.030726518 rounded to six dps? 0.030727 What is 0.05184648621 rounded to six decimal places? 0.051846 What is 0.194883522 rounded to three dps? 0.195 Round -92717.5984 to the nearest 100. -92700 What is 141724638 rounded to the nearest 1000000? 142000000 What is -0.0373259989 rounded to four decimal places? -0.0373 What is -0.000025750313 rounded to 7 decimal places? -0.0000258 What is 1314911.55 rounded to the nearest 1000? 1315000 Round 1081.1565525 to the nearest ten. 1080 Round -37619776.39 to the nearest 100000. -37600000 What is 4334094 rounded to the nearest 1000? 4334000 Round -2908890883 to the nearest 100000. -2908900000 Round -6862.204146 to the nearest ten. -6860 What is -243.8235069 rounded to the nearest ten? -240 What is -77007.9546 rounded to the nearest integer? -77008 Round 0.000098848463 to six dps. 0.000099 What is 36888
{ "pile_set_name": "DM Mathematics" }
*v - 1. Calculate -5*g(l) - n(l). 500*l**3 - 5 Let t(x) = -12380722*x**2 - 6170*x. Let f(h) = -8029*h**2 - 4*h. What is 3085*f(v) - 2*t(v)? -8021*v**2 Let v(n) = -n**2 - n + 1. Let z(c) = c**3 - 4*c**2 - 4*c + 4. Let j(b) = 64*b - 15. Let r be j(-4). Let m = r + 165. Let i = -94 - m. Calculate i*v(k) - 3*z(k). -3*k**3 Let j(l) = 2*l. Suppose 3*k + 13 = 41*c - 42*c, -4*c = 5*k + 31. Let r(f) = 6*f - 1. What is k*r(b) + 8*j(b)? -2*b + 3 Let s(m) = 1 - 4*m - 5 + 5. Let n(g) be the third derivative of -3*g**4/8 + g**3/3 + 96*g**2 - 2. Give -3*n(a) + 7*s(a). -a + 1 Let l(m) be the first derivative of -24*m**2 - 17*m + 1355. Let x(k) = 12*k + 4. Give 2*l(r) + 9*x(r). 12*r + 2 Let k(v) = 16*v. Let u(q) = -131868*q + 65933*q + 65936*q. Give k(l) - 40*u(l). -24*l Let j(y) = y**2 - 8*y + 4. Let b(u) be the second derivative of -23/6*u**3 + 11/2*u**2 + 2*u - 91 + 1/4*u**4. Determine 6*b(h) - 17*j(h). h**2 - 2*h - 2 Let r(d) = -3*d**2 + d - 22. Let w(c) = c**2 + 12. Determine -r(q) - 2*w(q). q**2 - q - 2 Let h(g) be the first derivative of -g**2/2 - 2*g - 2. Let v(u) = -131*u - 5. Let i(y) = 29*y + 1. Let x(a) = 18*i(a) + 4*v(a). Calculate -3*h(n) + 2*x(n). -n + 2 Let i(k) = -11*k**2 - 6. Let t(w) = -9*w**2 + w - 7. Let p(o) = 4*i(o) - 5*t(o). Let f(s) = 2*s - 5. Calculate -10*f(d) - 4*p(d). -4*d**2 + 6 Let w(r) = 1. Let v(s) = 191683 - 14*s - 95844 - 95836. Give -v(l) + 2*w(l). 14*l - 1 Let b(x) = 102*x**2 - 23*x + 99. Let y(d) = -47*d**2 + 12*d - 48. What is -6*b(j) - 13*y(j)? -j**2 - 18*j + 30 Let n(m) = -1740*m**2 + 2*m - 6. Let x(q) = -6803401*q**2 + 7821*q - 23463. Give -7821*n(a) + 2*x(a). 1738*a**2 Let v(l) = 6*l + 11. Let q = -14 + 2. Let m = 82 - 81. Let h be (m - -2) + q/(-3). Let x(d) = 3*d + 6. Determine h*x(r) - 4*v(r). -3*r - 2 Let b(c) = -2*c**2 - 17*c + 6*c + 8 + 4*c + 6*c. Let o(l) = l**3 + 11*l**2 + 6*l - 41. Determine 11*b(v) + 2*o(v). 2*v**3 + v + 6 Let d(r) = r + 6 + 2 - 2. Let k(l) = 2*l + 11. Let s = -102878 - -102885. What is s*d(f) - 4*k(f)? -f - 2 Let p(j) = 26*j - 101 - 69*j + 29*j. Let r be p(-7). Let i(s) = 4*s**2 - 4*s - 5. Let z(k) = -9*k**2 + 9*k + 11. Calculate r*z(h) - 7*i(h). -h**2 + h + 2 Let h = -34 - -49. Let k be 2/(-18)*-3*h. Let w(b) = -3*b + 3. Let u(v) = v. Let n(x) = 3*x - 1. Let z(c) = -2*n(c) + 4*u(c). Give k*z(g) - 3*w(g). -g + 1 Let g(n) = -22*n**2 - 30*n - 10. Let x(y) be the third derivative of 3*y**5/20 + y**4/2 + 2*y**3/3 + 5954*y**2. Determine -5*g(o) - 12*x(o). 2*o**2 + 6*o + 2 Let p(r) = -8*r - 6. Suppose 5*u + 2*t = 80, 2*t = -5*u - 3*t + 95. Let v(c) = -u*c + 56*c - 14*c - 19*c + 7. Determine -5*p(n) - 4*v(n). 4*n + 2 Let j(i) = 3363*i**3 - 6*i**2 + 12*i - 12. Let c(f) = -3130951*f**3 + 5585*f**2 - 11170*f + 11170. Calculate 6*c(g) + 5585*j(g). -3351*g**3 Let l(p) = 3*p - 3*p - 3*p + 5. Let o(y) be the third derivative of y**4/6 - y**3 + 23034*y**2. Calculate -7*l(g) - 6*o(g). -3*g + 1 Let k(s) = 4*s**2 - 7*s + 31. Let u(x) = 2*x**2 - 3*x + 14. Calculate 4*k(b) - 9*u(b). -2*b**2 - b - 2 Let u(x) = 8*x**2 - 2*x - 56. Let k(d) = -7*d**2 + 2*d + 46. Give -5*k(j) - 4*u(j). 3*j**2 - 2*j - 6 Let b(v) = 11*v. Let o(k) = -35*k - 15. Let w(d) be the first derivative of -9*d**2/2 - 4*d + 264. Let q(l) = -4*o(l) + 15*w(l). Give 4*b(s) - 7*q(s). 9*s Let j(s) = s**2 + 16. Let f(l) = 9*l**2 + 42*l + 85. Calculate f(a) - 6*j(a). 3*a**2 + 42*a - 11 Let f(v) = 33*v**3 + 2*v**2 + 6*v + 66. Let g(k) = 61*k**3 + 4*k**2 + 11*k + 133. What is 11*f(c) - 6*g(c)? -3*c**3 - 2*c**2 - 72 Let u(m) = 985*m - 8. Let n(d) = 6908*d - 56. Calculate -3*n(z) + 20*u(z). -1024*z + 8 Let p(a) = -13*a + 37*a + 25*a + 3 + 3 - 5. Let k(u) = -48*u - 1. Determine -4*k(w) - 3*p(w). 45*w + 1 Let k(l) = 23*l**3 - 2*l**2 - 6*l - 100. Let m(i) = -20*i**3 + i**2 + 5*i + 103. Calculate 5*k(d) + 6*m(d). -5*d**3 - 4*d**2 + 118 Let h(d) = -163957*d + 5334. Let u(b) = 123*b - 4. Calculate 4*h(v) + 5334*u(v). 254*v Let y = -1300 - -1299. Let c(s) = -2*s**2 - 4. Let f(u) = 5*u**2 + 9. Let h(t) = -7*c(t) - 3*f(t). Let d(k) = 8*k**2 - 5. What is y*d(g) - 3*h(g)? -5*g**2 + 2 Let s(m) = 2845*m**3 + 9*m**2 - 82*m - 9. Let q(c) = 2*c**3 + c**2 - 9*c - 1. Give -18*q(x) + 2*s(x). 5654*x**3 - 2*x Let q(p) = -1. Let v(j) be the first derivative of j**2/2 - 2*j + 902. Calculate -13*q(f) + 6*v(f). 6*f + 1 Let g(t) = -10*t**2 + 10*t - 16. Let p(b) = b**2 - b + 1. Suppose -5 = -3*s - m, -2*s - m + 10 = 6. Calculate s*g(a) + 12*p(a). 2*a**2 - 2*a - 4 Let y(d) = -8*d**2 - 6. Let s = 10953 - 10948. Let h(l) = 4*l**2 + 3. Determine s*h(g) + 3*y(g). -4*g**2 - 3 Let v(x) = -47*x**2 + 5*x - 9. Let u(s) = -432*s**2 + 409*s**2 - 43*s - 37*s + 83*s - 5. Give 5*u(r) - 3*v(r). 26*r**2 + 2 Let f(p) = -4*p**2 - 3*p + 4. Suppose -3*u = -7*u + 8. Suppose 220 = 3*x + u*x. Let v = x + -41. Let b(a) = 3*a**2 + 2*a - 3. Determine v*b(y) + 2*f(y). y**2 - 1 Let t(a) = -5*a + 1. Let m(j) = 163*j - 58*j - 57*j - 47*j. What is -5*m(w) + t(w)? -10*w + 1 Let q(z) = z + 2. Let n(j) be the first derivative of j**2/2 + j - 1941. Determine -4*n(r) + 3*q(r). -r + 2 Let o(d) = -d**2 + d + 1. Let w = 8 - 9. Let p be -60 + 1 - (4 + -8). Let l = p + 51. Let q(y) = -y**2 - 4*y - 4. Give l*o(f) + w*q(f). 5*f**2 Let h(d) = -d**2 + 150*d - 2. Let w(f) = -f**2 + 137*f - 3. What is -7*h(s) + 6*w(s)? s**2 - 228*s - 4 Let c(m) = -4*m. Suppose 4528 + 2748 = k. Let s = k - 2293. Let x(p) = 23*p + 4983 - s. What is 34*c(d) + 6*x(d)? 2*d Let x(u) = 327*u**2 - 26*u + 10. Let m(c) = -326*c**2 + 29*c - 11. Calculate 8*m(g) + 9*x(g). 335*g**2 - 2*g + 2 Let o(g) = -4*g**2 + 7*g + 14. Let v(k) = -9*k**2 + 15*k + 28. Suppose -22*b = 33*b + 330. What is b*v(y) + 13*o(y)? 2*y**2 + y + 14 Let v(i) = i + 20. Let q(x) = -5*x - 2569. Calculate -q(b) - 7*v(b). -2*b + 2429 Let v(q) = q**2 + 47*q + 5. Let a(m) = 3*m**2 + 96*m + 10. Calculate -3*a(b) + 7*v(b). -2*b**2 + 41*b + 5 Let n(o) = o - 1. Let s be (10 + 288/(-27))*3/(-2). Let x(g) = g + 4. Let z(t) = 1. Let a(u) = -2*x(u) + 9*z(u). Determine s*n(c) - a(c). 3*c - 2 Let y be ((-66)/198)/((-2)/(-12)). Let x(l) = -155*l**2 - 45*l - 45. Let c(a) = 7*a**2 + 2*a + 2. What is y*x(t) - 45*c(t)? -5*t**2 Let i(w) = 2*w**3 - 4*w**2 + 7*w + 4. Let t be (-61)/(9272/114) - 1/(-4)*-9. Let l(d) = d + 1. Determine t*l(v) + i(v). 2*v**3 - 4*v**2 + 4*v + 1 Let n(a) = -116*a + 26. Let f(y) = -13*y + 3. Suppose -3*t - 230 + 58 = -4*u, 12 = 3*u. Give t*f(r) + 6*n(r). -20*r Suppose 3*x - 4*f + 4 = 0, -11*x = -8*x + 4*f - 4. Suppose -28*p + 32*p - 4 = x. Let w(j) = j. Let i(r) = r**2 + 6*r - 1. Calculate p*i(k) - 5*w(k). k**2 + k - 1 Let p(q) = 8*q**2 + 17*q + 29. Let w(h) = 6*h**2 + 24*h + 28. What is 3*p(i) - 2*w(i)? 12*i**2 + 3*i + 31 Let v(q) be the third derivative of q**4/24 + q**3/3 + q**2. Let s(l) be the second derivative of -l**3/3 - l**2 + 13095*l + 2. What is -2*s(w) - 3*v(w)? w - 2 Let u(b) = 117403 - 117403 + b. Let w(i) = i + 1. Suppose 2*f - 9 = -15. What is f*u(n) - w(n)? -4*n - 1 Let t(z) = 7*z**2 - 296*z. Let i(s) = 23*s**2 - 865*s. Determine 3*i(c) - 10*t(c). -c**2 + 365*c Let q(n) = -763*n + 387*n + 377*n. Let g(o) = 6*o**3 - 21*o. Let l = -47 - -89. Determine l*q(r) + 2*g(r). 12*r**3 Let w(p) = -p**2 - 7*p + 41. Let f(g) = -5*g + 39. Calculate 4*f(y) - 3*w(y). 3*y**2 + y + 33 Let i(n) = -n**3 - 11*n. Let m(p) = 7*p + p - 4*p - 2*p. Let r = 82 + -80. Suppose -3*t = -2*v - 72, -25 = -t - r*v + 3*v. What is t*m(j) + 4*i(j)? -4*j**3 Let j(g) = 16842*g**2 + 56*g - 28. Let q(y) = 1871*y**2 + 6*y - 3. Determine -3*j(u) + 28*q(u). 1862*u**2 Let y(u) = -3*u - 63. Let d be y(-23). Let p(x) = 1 + d*x**2 + 41*x - 68*x + 25*x. Let v(c) = 17*c**2 - 5*c + 3. Calculate 11*p(w) - 4*v(w). -2*w**2 - 2*w - 1 Let g = 15003 + -14992. Let d(u) = -13*u + 21. Let h(j) = -7*j + 11. Calculate g*h(l) - 6*d(l). l - 5 Let g(n) = 118*n**2 + 7*n + 7. Let a(t) = -335181*t + 335176*t - 79*t**2 + 1 - 6. Give 7*a(z) + 5*g(z). 37*z**2 Let l(c) be the second derivative of c**4/4 - 4*c**3/3 + 3*c**2 + 6*c. Let m = -3954 + 3950. Let y(r) = r**2 - r + 1. Calculate m*y(s) + l(s). -s**2 - 4*s + 2 Let u(h) = 7*h - 5. Let s(t) be the first derivative of 29*t**2/2 - 21*t - 82. Give -2*s(p) + 9*u(p). 5*p - 3 Let t(i) be the second derivative of -7*i**5/60 + 113*i**3/6 + 97*i. Let q(f) be the second derivative of t(f).
{ "pile_set_name": "DM Mathematics" }
he value of (-120)/(-273) + -3 + (-19)/(-7)? 2/13 Calculate (-2)/((-7)/(-2) - 4) + -3. 1 Evaluate (3/6)/((-2)/(-48)*-3). -4 What is ((-104)/20 - -6)/(2/5)? 2 What is (810/12)/15 + -4 + 1? 3/2 Calculate (-9 - -15)*(-4)/(-6). 4 What is the value of ((-3)/6 - 0)*4/14? -1/7 Evaluate (-40)/22 + (4 - -12)/8. 2/11 -6*(1 + (5 - 66/12)) -3 (-1 - 3/3)/(3 - -27) -1/15 Evaluate 31/40 + (-4)/10. 3/8 What is the value of (5/30)/(-1 - (-4)/2)? 1/6 What is the value of (-4)/16*(-48)/15? 4/5 108/20 + -18 + 13 2/5 (-5)/5 - 2 - -8 5 What is (-42)/(-27)*(-84)/(-98)? 4/3 24/(-20)*15/(-6) 3 Calculate (1 - 5)/((-36)/(-30 + 24)). -2/3 What is 68/(-1071) - (0 + 2/9)? -2/7 Calculate -2*4/(-72)*(-2 + 17). 5/3 Calculate (5 - -14*(-2)/(-4)) + -7. 5 0 + (0 - 1) - (-1 + -2) 2 What is the value of -7 - -3 - (-20 + 13)? 3 What is 418/77 + 6/(-14)? 5 ((-2)/8)/(-2 - 189/(-84)) -1 Calculate 2/6*(-510)/(-1615). 2/19 Evaluate (-121)/143 + (-2)/13. -1 ((-2)/9)/((-70)/90)*7 2 Evaluate (10/(-9) - (-12 + 14)) + 3. -1/9 Calculate 4/(-5)*(-15)/4. 3 What is the value of ((-3)/6 - 0)/(6/(-24))? 2 (-3)/(-48)*-8 + (-6)/(-4) 1 What is the value of ((-124)/(-40) + -3)/(5 - 4)? 1/10 What is the value of 3/(-10)*(-15)/27? 1/6 What is ((-2)/9)/((-32)/(-36) + -1)? 2 Calculate 24/(-20)*(-17)/(-34). -3/5 ((-8)/(-45))/(68/306) 4/5 What is (-3 - 13/(-5))/(21/(-15))? 2/7 Evaluate 8410/1015 - (8 - (-2 + 2)). 2/7 What is 570/(-76) - (-2)/4? -7 What is ((-21)/(-70))/((-6)/(-4) - 3)? -1/5 (15/(-12))/(1/(-8)*2) 5 Calculate (-1)/((-4 - -6)/2). -1 What is the value of ((-1125)/(-60) - 20)*1/10? -1/8 What is the value of 1 + 180/81 - (-2)/(-9)? 3 (-1)/8*(-87 - -31) 7 What is (-15)/10*(225/189 - 1)? -2/7 What is (110 - 109)/(1/(-7))? -7 Calculate (-2)/(-7) + (0 - (0 - 0)). 2/7 Evaluate 8*7/21 - 2. 2/3 What is the value of (1/3 - 0)*(-21)/14? -1/2 What is the value of 900/594 - 12/9? 2/11 Calculate ((-48)/60)/(0 + -2). 2/5 Calculate ((-9)/(-6))/(42/8). 2/7 What is the value of -3 + (-2)/(1/(-2)*4)? -2 (-1)/(3/(-3) + 35/28) -4 What is the value of ((-140)/(-63))/(-5)*3/2? -2/3 What is 12 - 1 - (3 + (3 - 1))? 6 What is the value of (-2 - (-91)/35)/((-3)/(-30))? 6 What is ((-4)/7)/(2618/539)? -2/17 What is 4/6 + ((-37)/(-12) - 4)? -1/4 Evaluate 4/10 - (-104)/40. 3 What is (-87)/15 + 3 - -2? -4/5 Calculate ((-56)/6 - -9)*0. 0 What is the value of -1 + (3 - 9/4)? -1/4 Calculate ((-3)/4)/(2/(-4)*-12). -1/8 Evaluate (-460)/(-110) - 2/11. 4 Evaluate (1 - -2) + -4 - -1. 0 What is the value of 3/((-27)/12) - 33/(-18)? 1/2 What is the value of 36*(-8)/(-156) + (-2)/(-13)? 2 Evaluate 21/12 + -1 + (-27)/(-12). 3 What is the value of ((-10)/(-6))/(35/84)? 4 Calculate 25/(-27) + 6/(-81) + 5. 4 Evaluate 1*(1/3)/((-23)/69). -1 Calculate 2/(-7) - ((-1105)/(-273) - 4). -1/3 What is the value of 440/325 - (-30)/(-25)? 2/13 What is the value of (-1)/(((-6)/45)/((-72)/54))? -10 Evaluate -8 + (-11 - -21) - -5. 7 Calculate 2/(-8)*(-16)/(16 + -32). -1/4 What is 1*((2 - 4) + 2)? 0 Evaluate (-4 - -1)/3 + -1. -2 What is the value of (-2 + 2)/((-14)/21*3)? 0 What is the value of (-64)/10 + 2 + (-12)/20? -5 Calculate (8/(-24))/((4/6)/(-1)). 1/2 Evaluate 4/16 + 2 + (-5)/4. 1 Calculate 180/(-189) - 1/21. -1 What is -4 - ((-1548)/153 - -6)? 2/17 Evaluate 14/2 + (-2 - 1). 4 What is the value of (-135)/60 + 2/1? -1/4 What is the value of (-15)/4*50/(-125)? 3/2 Calculate (-1495)/(-207) + 4/(-18). 7 Calculate (-3 + 336/91)*(-4)/(-36). 1/13 (7 - -2) + 495/(-60) 3/4 Evaluate 2/(-5)*(225/(-18))/5. 1 Evaluate (1 + (-2)/3)/((-9)/81). -3 Evaluate (3 + 0)*-2 + (-5)/5. -7 5*(-4)/(60/(-9)) 3 (-675)/(-100) + (-1)/(-4) 7 Evaluate (-71 - -70)/(3/6). -2 What is the value of (-150)/(-80)*20/(-15)? -5/2 -27*(0 - (-6)/(-54)) 3 What is the value of -12*(-12 + 188/16)? 3 What is (12/18)/(2/(-3)) + -1? -2 (5 - 7 - -1)*3/(-1) 3 What is 7/(-3) - 460/276? -4 (-4)/(-6 - -2) + 3 + -7 -3 What is (-45)/(8 + -3) + 8? -1 What is the value of (-15*(-4)/100)/(-3)? -1/5 Calculate (-8)/(-198) - 14/(-77). 2/9 Evaluate 1/((-2)/(-16)*2). 4 Evaluate (0 + 2/(-15))/(3/(-5)). 2/9 Evaluate (-91)/(-35) + (1 - 3). 3/5 Evaluate 2/(-6)*(-4)/((-20)/(-3)). 1/5 Calculate (-3 - -2)/(-2*(-2 + 3)). 1/2 What is 1/(3/(-3)*1)? -1 Evaluate ((-185)/(-25) - 3 - 4)*-5. -2 Evaluate 1*(1 - 12/14). 1/7 Evaluate (-2)/10 + 38/(-10). -4 Evaluate (-2)/(-9) - (1 + 840/(-108)). 7 Calculate 160/(-64)*(-1 - 1). 5 What is 1*((-6)/2 + (-1 - -6))? 2 Calculate 4/(-12) + -3 + 8/(-12). -4 What is the value of -3 + 0 + 57/38? -3/2 Evaluate 62/22 + 0 + (-3 - 0). -2/11 Evaluate (-10)/(-45) - 2/((-36)/86). 5 (-22)/(-10) + (-64)/(-80) 3 3/(6 + 27/(-4)) -4 Calculate (-34)/(-51)*(-6)/(-4)*-1. -1 Evaluate ((-4)/(-6))/((-4)/(-6)). 1 What is the value of 2 + -2 + 2/15? 2/15 (((-2)/(-10))/(-1))/((-12)/15) 1/4 (-45)/(-30) - (-33)/(-6) -4 Calculate (-1464)/6480 - (-6)/(-81). -3/10 What is the value of (4/(-10))/(72/40)? -2/9 What is (-14)/21*3/(-11)? 2/11 What is ((-7)/(70/15))/(180/12)? -1/10 Evaluate (-92)/1656*2*1. -1/9 What is 2 + -1 + (-16)/((-3360)/(-182))? 2/15 What is 8 + 21*(-24)/64? 1/8 What is (-1)/((-30)/12) + 0? 2/5 What is the value of 3*(7 + 57/(-9))? 2 What is (-16)/32 - (1 + 5/2)? -4 Evaluate (0/(-3 + 5))/(-1). 0 Evaluate (-7)/2 - 1/(-2). -3 -2 + 0 - (-3 + 5 + 6) -10 What is the value of (2/(2 + -14))/(1/4)? -2/3 Calculate 24/(-42)*63/(-81). 4/9 (26/14 - 2)*(7 - 6) -1/7 (-3)/(2 + (-143)/22) 2/3 Evaluate (196/(-686))/(6/14). -2/3 Calculate 39/26*-4*(-2)/2. 6 What is 48/(-36) - 33/9? -5 What is the value of 21/12*27/(-189)? -1/4 What is (-2 - (-9)/3)/(45/(-60))? -4/3 Calculate ((-68)/(-680))/(4/(-30)). -3/4 What is the value of (6 + -3)*4/(-12)? -1 What is 27/(-18)*(-4)/(-16)*2? -3/4 (-8)/10 + 182/39 + -4 -2/15 Evaluate (((-10)/3)/(-5))/((-6)/(-27)). 3 What is the value of (-7 - -3) + 0*(-1)/2? -4 What is ((-72)/(-270))/((-2)/(-10))? 4/3 What is the value of 4/38 - 351/(-1539)? 1/3 Calculate 16/(-200)*-5 + (-4)/5. -2/5 Evaluate 10/4*(-72)/90. -2 ((-12)/(-4))/9 - 1/(-1) 4/3 55/(-22) + -38*(-3)/12 7 What is 7 - (2856/340 + (-3)/(-5))? -2 Calculate 36/(-42) + (0 - -1). 1/7 What is (-15)/(-75) + (-6)/10? -2/5 12 + -11 + (-1 - 4) -4 Calculate ((-6)/4)/(-4*33/(-440)). -5 What is 156/(-65) + (-6)/(-15)*1? -2 1/(-4) - (-1575)/540 - 2 2/3 (-28)/13 + (-132)/(-858) -2 Calculate (-1)/3*((-728)/32 - -16). 9/4 What is 303/105 + (-2)/7 + -2? 3/5 What is the value of (34/16 + -1)*(-2)/6? -3/8 What is the value of (((-30)/4)/(-3))/(20/64)? 8 Evaluate -1 - (-24)/18 - (-1)/(-2). -1/6 Evaluate 3*(-8)/9*(-81)/(-36). -6 Calculate ((-140)/(-21) - 7)*-3. 1 Calculate (-2)/((-3)/3 + -3). 1/2 (-51)/(-45) + (-1)/(7 + -4) 4/5 Calculate (124/465)/(-3 + 17/5). 2/3 Evaluate (2 - 25/10)*(-1)/(-2). -1/4 Evaluate ((-96)/(-240))/(-2 - -4). 1/5 What is the value of -3*6/60 + 17/(-10)? -2 What is the value of ((-4)/6)/(47/(-15) - -3)? 5 What is 96/240 + (-16)/90? 2/9 What is ((-12)/(-20))/(1/(-5))? -3 What is the value of 94/(-470) + 41/5? 8 Calculate ((-3)/((-3)/2))/((-8)/(-20)). 5 140/(-175) + 26/(-5) -6 What is 67/63 + (-2295)/1785? -2/9 Evaluate (-9)/3 + (-4)/(-16)*13. 1/4 What is (-2 + -3 - 14/35) + 5? -2/5 (-1)/((-14)/4) - 132/(-28) 5 Calculate 4*(185/444)/((-15)/(-2)). 2/9 (-324)/45 + 7 + 0 -1/5 Evaluate 1*((0 - -1)*-5 - -2). -3 Calculate -5*(-4)/(-2 - 2). -5 Calculate 150/60*16/(-5). -8 Evaluate (7/28)/((-49)/28). -1/7 Evaluate (96/4128)/((-1)/(-2)). 2/43 What is (-64)/(-192) - (-16)/42? 5/7 (-3)/6*(-324)/(-135) -6/5 What is 3/(54/(-8))*(-756)/(-4032)? -1/12 What is ((-36)/84)/((-66)/77)? 1/2 Calculate (-3)/(-4) + 0 - (-28)/48. 4/3 What is the value of -2 + (-32)/(-18) - (-112)/(-63)? -2 Evaluate (-31)/11 - 10/55. -3 What is 12 + -2 + -9 + (10 - 3)? 8 Evaluate 39/(-26) + 135/70. 3/7 What is the value of 80/(-700)*5/(-2)? 2/7 (28/(-280))/((-2)/(-68)) - -3 -2/5 7 + ((-1)/(-3))/((-5)/105) 0 Calculate 40/(-30)*(2 - 1 - -2). -4 What is the value of (5 - 3)*(-7)/2? -7 What is the value of (-64)/160 + (-46)/10? -5 Evaluate (-6)/(1890/7) + 8/36. 1/5 What is (-8)/28*(-5)/((-10)/3)? -3/7 7/((-35)/3) - -1 2/5 Calculate 5/4 - 2055/(-548). 5 What is the value of (-18)/(-27)*(0 - (-9)/6)? 1 What is the value of ((-72)/90)/(14/(-5))? 2/7 Evaluate (((-9)/27)/((-3)/9))/(-3). -1/3 What is the value of (-8 - -9) + (-2)/8? 3/4 What is 4 + 8/8 + (-9 - -2)? -2 Eva
{ "pile_set_name": "DM Mathematics" }
-2*v + v + a + 12 = 0, -3*v + 56 = a. Calculate the remainder when g(38) is divided by v. 13 Suppose 0 = -149*i + 43*i + 20246. Calculate the remainder when 870 is divided by i. 106 Let q(b) = b**2 + 12*b - 283. What is the remainder when q(-31) is divided by 102? 0 Suppose -6745 = -59*n - 36*n. Calculate the remainder when n is divided by (-68)/(-18) + (-28)/(-126). 3 Let g(a) = 21*a + 3136. Calculate the remainder when g(-68) is divided by 98. 42 Let f(i) = -4*i**3 - 97*i**2 + 82*i + 2497. What is the remainder when f(-29) is divided by 25? 23 What is the remainder when (-5760)/(-88) - 174/(-319) is divided by 42? 24 Let r = 404 + -399. Let h(u) = -u + 3. Let a be h(-7). Suppose -k - 9 = r*v, 5*k - v + 3 = a. Calculate the remainder when 4 is divided by k. 0 Let r = 367 + -383. Let u(d) = 3*d**2 + 3*d - 6. What is the remainder when u(4) is divided by 14 + r/(-28) + 8/(-14)? 12 Let p be 0 - (-1 + 1/(-1)). Suppose 5*o + 4*z - 33 = 0, 4*o - p*o - z = 8. Suppose 0 = -b - o*b + 234. What is the remainder when b is divided by 21? 18 Suppose -3*n - 280 - 311 = 0. Let z = n + 219. Calculate the remainder when 87 is divided by z. 21 Let d be 74/(-10) + (-24)/(-60). Let m(y) = 26*y + 15*y + 10*y**2 - 32*y + 4*y**3 - 3*y**3 - 8. Calculate the remainder when m(d) is divided by 26. 24 Suppose 47 = 5*f + 32. Suppose -3*p + 228 = 4*h, -f*h + 57 = -2*h + 3*p. Suppose h = 2*j + 9. Calculate the remainder when 69 is divided by j. 21 Suppose -2*b - 5*f = -346, -4 = 3*f + 2. Let i = 6 + 0. Suppose b = i*y - 56. Calculate the remainder when y is divided by 21. 18 Let r = -337 - -341. Suppose -c - r*c - 4*y + 4 = 0, -c = y. Calculate the remainder when 19 is divided by c. 3 What is the remainder when 1257 is divided by 32/(640/1500) - 4? 50 Let x = -661059 + 661207. Calculate the remainder when x is divided by (10 - 1) + (0 - 1). 4 Suppose -339*g + 18551 = -20213 - 34460. What is the remainder when g is divided by 30? 6 Suppose -3*q + q = -15*q + 91. What is the remainder when ((-5)/(-2))/((-3)/(-66)) is divided by q? 6 Suppose 348 = -7*t - 380. Let w = t - -139. What is the remainder when 136 is divided by w? 31 Suppose -4*x + 11421 = -4*i - 7351, -5*i + 15 = 0. What is the remainder when x is divided by 81? 79 Suppose -5*b - 11*z = -9*z - 10333, 2053 = b - 3*z. What is the remainder when b is divided by 148? 141 Let k = -2 + 42. Suppose -11*p = -367*p + 11392. What is the remainder when k is divided by p? 8 Let d(x) = 321*x**2 + 2*x - 1. Suppose 8*b + 2 = 10*b. Let o be d(b). Suppose 11*m = 4*m + o. What is the remainder when m is divided by 12? 10 Let f(p) = -33*p**3 - p**2 + 22*p - 34. Let a(l) = 22*l**3 + l**2 - 15*l + 23. Let q(j) = 7*a(j) + 5*f(j). What is the remainder when q(-4) is divided by 12? 11 Let u(a) = 73*a**2 - 36*a + 4. Let z be u(3). Suppose 42*k - 413 - z = 0. Calculate the remainder when k is divided by 2. 1 Suppose -128*l = -12068 - 17500. What is the remainder when l is divided by 16? 7 Let p = 936 + -810. What is the remainder when p is divided by 10? 6 Let j(x) = -10*x + 14. Suppose 77 = -6*s + 95. Suppose -2*y = -s*d + 81, y + 2 = -1. What is the remainder when j(-11) is divided by d? 24 Let i = 250 - 241. Suppose -4*c + 562 = i*y - 4*y, -5*y + 5*c + 580 = 0. What is the remainder when y is divided by 29? 27 Suppose 3*c - 48 + 66 = 0. Let t be -3 + (c/2)/(-3). What is the remainder when 27 is divided by 5 + (t + 4 - -1)? 3 Let j(x) = 263*x + 535. What is the remainder when 19 is divided by j(-2)? 1 Suppose -6*s + 1150 = 2*z, 0 = -5*s + 10*z - 6*z + 930. Calculate the remainder when 315 is divided by s. 125 Suppose -323*s = -324*s + 7, 0 = 4*w - s - 8549. Calculate the remainder when w is divided by 143. 137 Suppose -13 = 2*i - 61. Suppose 14*v - 7*v = 98. Calculate the remainder when v*(-12)/(-42) + 1 + 66 is divided by i. 23 Let g(s) = -s**3 + 7*s**2 + 13*s - 11. Calculate the remainder when g(6) is divided by (-3*3)/((-7)/42). 49 Suppose 3*k - 1458 = 3*s, 288 = 4*s + 292. Calculate the remainder when k is divided by 141. 62 Suppose -h = -4*j, -19*j - 5*h = -22*j. Calculate the remainder when (-4)/(-6)*(-219)/(-2) is divided by (19 - j)/(-5*(-9)/45). 16 Let i(o) = -7*o - 32 + 49 + 3*o. Let u be i(-8). Suppose -5*s + 4*l + 252 = 64, -s - 3*l + u = 0. What is the remainder when s is divided by 23? 17 Calculate the remainder when (-3 + (1 - -9))*8 is divided by (3/(-4) - -1)/((-3)/(-348)). 27 Suppose 813 + 1329 = 63*z. Let w be (-282)/4*(-4)/6. Suppose 0 = 4*l - w - 1. What is the remainder when z is divided by l? 10 Let n be (-2 - -4) + (-2 + 2 - 2). Suppose -11 = -3*j + 10. Suppose 0*g - j*g + 147 = n. What is the remainder when 40 is divided by g? 19 Let y = -35044 - -35219. What is the remainder when 1388 is divided by y? 163 Let h(c) = 2*c**2 + 56*c + 77. Calculate the remainder when h(-31) is divided by 4/(-6) - (342/(-27) - -1). 10 Let y = 172 + -276. Let q = -66 - y. Calculate the remainder when 112 is divided by q. 36 Let g(y) = 5*y**2 - 14*y + 46. Suppose -5*k - 3*x + 65 = 2*x, 0 = -2*k + 5*x + 26. What is the remainder when g(3) is divided by k? 10 Let w(b) = -5*b. Let k be w(-2). Suppose -5*a + 15 = -k. What is the remainder when a is divided by (6 - 1) + -32*53/848? 2 Suppose 6*h + 721 - 1110 = 1975. What is the remainder when h is divided by 97? 6 Let i(k) = k**3 - 15*k**2 - 15*k - 16. Let w be i(16). Suppose 0 = 2*c - f - 41, 0 = -c + 2*f - w*f + 22. What is the remainder when 99 is divided by c? 19 Suppose 595 = 3*b - i, -27*b + 28*b + 3*i = 205. What is the remainder when b is divided by 20? 19 Let b be (51/(-9) - 0)/(2/(-30)). Suppose -b = 10*d - 835. What is the remainder when d is divided by 7? 5 Let l = 0 - -3. Suppose -l*s + 120 = -s. Suppose -887 = -29*w - 23*w + 725. Calculate the remainder when s is divided by w. 29 Let y(m) = -7*m + 1. Suppose -33*i + 4*u - 36 = -31*i, 0 = 5*i + 3*u - 92. What is the remainder when y(-6) is divided by i? 3 Suppose -k - 2*y = -204, 0 = -4*y + 6*y - 10. Suppose k - 50 = 16*n. Calculate the remainder when 40 is divided by n. 4 Suppose -k + 3*x - 398 = k, -2*x = -k - 197. Let f = -195 - k. Calculate the remainder when 41 is divided by f. 1 Let l = 96 - 91. Suppose l*a - 2*b - 30 = 74, -5*b - 110 = -5*a. Calculate the remainder when (12/(-4))/1*(-74)/6 is divided by a. 17 Let g(p) = -3*p**2 + 111*p + 786. Calculate the remainder when 11311 is divided by g(43). 7 Suppose -2*u = -13*r + 5181 + 1511, -2*r + 1024 = -u. Calculate the remainder when r is divided by 248. 20 Let u(t) = -238*t**3 - t**2 - 31*t - 47. What is the remainder when u(-2) is divided by 8? 3 Suppose -14*y + 131 - 3 = -96. What is the remainder when 2462 is divided by y? 14 Let h(q) = 2*q**2 - 3*q - 4. Let a = 8613 - 8392. What is the remainder when a is divided by h(4)? 13 Suppose -c = 2*c - 228. Suppose 3170*b = 1143*b - 2134*b + 1106683 - 166297. Calculate the remainder when b is divided by c. 74 Let t = -5606 - -5683. Calculate the remainder when 214 is divided by t. 60 Suppose 6*l + 8*l = 1022. Let p = l - 59. Let s = 76 - 22. What is the remainder when s is divided by p? 12 Let k(f) be the first derivative of 6*f**3 - f**2 - f + 1. What is the remainder when k(-1) is divided by -25 - 11285/(-296) - (-2)/(-16)? 6 Let x be ((1 - 3) + (-7)/(-3))*201. Let u(l) = 21 + 85*l - x - 81*l. What is the remainder when 41 is divided by u(17)? 19 Let w(z) = 16*z - 14*z**2 - 4*z + z**3 - 6*z - 46. What is the remainder when w(14) is divided by 22? 16 Suppose j - w - w - 28 = 0, 8 = -2*w. Let n(y) = -y**3 + 11*y**2 - 20*y - 1. What is the remainder when n(6) is divided by j? 19 Let b(p) = 8*p**2 + 164*p + 290. What is the remainder when ((-732)/9)/(1/(-3)) is divided by b(-19)? 58 Let g(l) = -14*l - 3. Suppose 0 = 9*i - 0*i + 9. Calculate the remainder when 40 is divided by g(i). 7 Let u be -3 + -1 + 2 - 26. Let r = u - -110. Suppose 8*w + 315 = 23*w. Calculate the remainder when r is divided by w. 19 Let j = -190 - -198. Let n(g) = g**3 - 8*g**2 + 2*g + 12. What is the remainder when n(j) is divided by 17? 11 Let n be -6 + -223 + -4 + (-16)/(-4). Let b = 355 + n. What is the remainder when b is divided by 43? 40 Let o(i) = i**2 - 5*i + 6. Suppose 3*k + 38 + 65 = 4*r, r + k - 24 = 0. Suppose 3*s = -2*s + r. What is the rem
{ "pile_set_name": "DM Mathematics" }
derivative of 29*r**3 + r**2 - 3 + c - r**2 wrt r. 87*r**2 Let b = 134 + -62. Let s = -37 + b. Differentiate 6 + s*h**2 - 1 - 32*h**2 wrt h. 6*h Let g(p) be the second derivative of -16*p**7/3 - 77*p**4/12 - 5*p. What is the third derivative of g(h) wrt h? -13440*h**2 Let y = 8 + -3. Let t(w) = w**3 + 2*w**2 - 37*w + 14. Let g be t(5). What is the third derivative of -9*p + y*p + g*p + p**2 + 12*p**6 wrt p? 1440*p**3 Let b(y) be the third derivative of 0*y + 0*y**4 + 9/20*y**5 + 0*y**7 - 1/84*y**8 + 0 + 0*y**6 + 0*y**3 - 28*y**2. What is the third derivative of b(p) wrt p? -240*p**2 Let b(j) = j**2 - 5*j. Let i(c) = -14*c**2 - 6*c**2 + 21*c**2. Let o = 2 + -1. Let l(n) = o*b(n) - 2*i(n). Find the second derivative of l(s) wrt s. -2 Differentiate -72 + 374*d - 510 + 237*d + 140 with respect to d. 611 Let a(x) = -651*x**3 + 34*x**2 + 6*x - 1868. Let p(b) = 217*b**3 - 12*b**2 - 2*b + 623. Let j(n) = -6*a(n) - 17*p(n). Differentiate j(g) wrt g. 651*g**2 - 2 Let a(r) = 3*r - 20. Let b be a(6). Let p = b + 22. What is the second derivative of -13*d + 9*d**2 + 3 - p*d**2 - 3 wrt d? -22 What is the second derivative of -221*k**4 - 24*k**4 - 69*k**3 - 2*k**2 + k + 69*k**3 - 4 wrt k? -2940*k**2 - 4 Let a(z) = z + 7. Let h be a(-4). Find the second derivative of 30 - 30 + 7*y + 14*y**h wrt y. 84*y Let r(b) = -30*b + 106. Let s(l) = -15*l + 53. Let v(i) = -2*r(i) + 5*s(i). Differentiate v(q) with respect to q. -15 Let n(i) = -5*i + 2. Let z be n(0). What is the third derivative of 2*j**5 + 3*j**2 - z*j**5 - 2*j**5 + 8*j**2 wrt j? -120*j**2 Let c(v) be the first derivative of 35*v**3/3 + 82*v + 20. Differentiate c(h) wrt h. 70*h Let c = -56 - -61. What is the third derivative of c*o**2 - 123*o**3 + 55*o**3 - 38*o**2 + 63*o**3 wrt o? -30 Let q(l) = l. Let f(b) = 4*b**2 + 4*b + 13. Let y(d) = -d**2 + 3*d - 1. Let v be y(2). Let n(c) = v*f(c) - 4*q(c). Differentiate n(m) wrt m. 8*m Let w = 18 + -11. Suppose 3*a - 2 = w. Differentiate -s - a*s - s - 5 wrt s. -5 Let c be 14/30 + (-19)/57. Let a(q) be the third derivative of 0*q**4 - q**3 + 0*q - c*q**5 + 0 + 9*q**2. Differentiate a(n) wrt n. -16*n Suppose -11 = -3*k + 91. What is the derivative of k*d**2 - 65*d**2 + 0 + 8 + 1 wrt d? -62*d Let q(r) be the first derivative of 2*r**6 - 2*r**5 + 32*r**3/3 - 634. What is the third derivative of q(u) wrt u? 720*u**2 - 240*u Differentiate 582*j**3 - 236 - 622*j**3 - 146 - 2*j with respect to j. -120*j**2 - 2 Suppose -x - x = -4. Find the third derivative of -30*t**3 + 8 - 11*t**x - 21 + 7 + 4 wrt t. -180 Let k(l) be the third derivative of 0*l**3 + 0*l**5 - 4*l**2 + 0 - 1/15*l**7 + 0*l - 7/24*l**4 + 0*l**6. What is the second derivative of k(c) wrt c? -168*c**2 Let f(q) be the third derivative of -41*q**6/40 - 205*q**3/3 - 8*q**2. What is the derivative of f(c) wrt c? -369*c**2 Let z(b) be the first derivative of 19*b**6/360 + 5*b**4/12 + 11*b**3/3 - 16. Let p(o) be the third derivative of z(o). What is the derivative of p(q) wrt q? 38*q Let y(z) = -z**2 - 10*z + 2. Let h = 23 - 33. Let i be y(h). What is the third derivative of x**i + 120 - 120 + 11*x**4 wrt x? 264*x What is the second derivative of -4*m + 211*m**4 + 26 - 67*m**2 - 60*m**2 + 126*m**2 wrt m? 2532*m**2 - 2 Let k(h) be the first derivative of -657*h**4/4 + 40*h**3/3 - 5*h**2/2 + 170. What is the third derivative of k(w) wrt w? -3942 Let r(o) = 8*o. Let b be r(1). What is the first derivative of 11*u**3 + b - 17 - 2 wrt u? 33*u**2 Let b be 9/5 + (-11)/((-990)/(-12)). Let l(m) be the first derivative of 0*m**4 - 3 + m**5 + 0*m + b*m**3 + 0*m**2. Find the third derivative of l(u) wrt u. 120*u What is the derivative of 3*v**2 + 0*v**4 - 4*v**2 + 4*v**4 + v**3 - 174 + v**2 wrt v? 16*v**3 + 3*v**2 Let u be (2 + (-15)/6)*8. Let g = u + 9. What is the third derivative of -z**4 - 16*z**g + z**2 + 19*z**5 + z**4 wrt z? 180*z**2 Find the first derivative of -655 + 1158 + 152*f**4 + 197*f**4 - 671 wrt f. 1396*f**3 Find the third derivative of 147*a - 430*a**3 + 20*a - 2*a**2 + 307*a**3 wrt a. -738 Let b(i) = i. Let t(z) = 87*z**2 - 5*z + 1. Let q(a) = -6*b(a) - t(a). Find the second derivative of q(s) wrt s. -174 Let x(c) = c + 294. Let z be x(0). What is the second derivative of -25*a**4 + z*a**3 - 15*a - 294*a**3 wrt a? -300*a**2 Let d(o) be the first derivative of 11*o**4/2 - 29*o + 29. Let b(s) = -44*s**3 + 59. Let a(m) = -3*b(m) - 5*d(m). What is the first derivative of a(h) wrt h? 66*h**2 Let q(w) be the second derivative of -w**7/42 + 11*w**5/4 + 58*w**4 - 83*w - 4. What is the third derivative of q(d) wrt d? -60*d**2 + 330 Differentiate 40 - m - 124 + m**2 - 53 + 3*m**2 with respect to m. 8*m - 1 Let r be (-4)/(-12)*(-2 - 7). Let i = 12 + r. Differentiate -7 + 7 - 4*s**4 + i wrt s. -16*s**3 Let a(d) be the third derivative of d**6/60 - 97*d**5/60 - 91*d**4/12 - 23*d**2 + 1. What is the second derivative of a(x) wrt x? 12*x - 194 Let n be (-4)/(-18) + 68/18. Let u(y) = y**3 + 9*y**2 + 9*y + 10. Let j be u(-8). What is the second derivative of -7*b + j*b + 0 + 0 + 2*b**n wrt b? 24*b**2 Let i = -3 + -1. Let n be (-9)/i - (-2)/(-8). Find the third derivative of u**2 + u**4 + 0*u**n + 0*u**4 - 3*u**2 wrt u. 24*u Let m(p) be the third derivative of 0*p - 1/3*p**3 + 0 - p**4 + 11*p**2. Find the first derivative of m(b) wrt b. -24 What is the derivative of -189 + 134*w**2 + 42 + 17*w**2 - 152 wrt w? 302*w Let m(t) be the second derivative of 0*t**2 + 0*t**3 + 31*t + 19/12*t**4 + 0 + 1/10*t**5. What is the third derivative of m(w) wrt w? 12 Let m(l) be the second derivative of -191*l**6/30 + 45*l**2/2 + 4*l. What is the first derivative of m(t) wrt t? -764*t**3 Let j(l) = l**3 + 36*l**2 - 91*l + 354. Let c(o) = -o**3 - 48*o**2 + 91*o - 354. Let y(r) = -3*c(r) - 4*j(r). Find the first derivative of y(n) wrt n. -3*n**2 + 91 Let n(a) = 2*a**2 - 2*a - 2. Let y be n(2). What is the second derivative of -2*x - 9*x**3 + 3*x - y*x wrt x? -54*x Let o(f) be the first derivative of 261*f**7/7 + 407*f**3/3 - 188. Find the third derivative of o(x) wrt x. 31320*x**3 Differentiate 96*q**2 - 376 + q - 118*q**2 + 311*q**2 - 36*q**2 + 69*q**2 with respect to q. 644*q + 1 Let y(b) = -16*b**3 - 6*b**2 - 15*b - 4. Let m(c) = -8*c**3 - 2*c**2 - 8*c - 3. Let d(x) = -5*m(x) + 2*y(x). Find the second derivative of d(j) wrt j. 48*j - 4 What is the third derivative of 2*w**4 + 22*w**2 - 8*w**4 + 0*w**5 + 3*w**4 - 4*w**5 wrt w? -240*w**2 - 72*w Suppose 3*t = 1 + 14. Suppose 2*l + 22 = t*x + 6*l, 4*x = 4*l - 4. What is the derivative of -y**2 + 0 + 3*y**2 - x + 2*y**2 wrt y? 8*y What is the first derivative of -43*a + 36 - 15 - 22 wrt a? -43 Let z(t) = 3*t**6 + 11*t**5 + 5*t**4 + 5*t**2 - 5*t + 5. Let x(j) = -j**6 - j**4 + j - 1. Let v(k) = -5*x(k) - z(k). What is the third derivative of v(w) wrt w? 240*w**3 - 660*w**2 What is the second derivative of 60*z**5 + 59*z - 164*z**5 - 45*z**5 + 5*z wrt z? -2980*z**3 What is the third derivative of 22*c**2 + 418*c**2 + 201*c**2 - 316*c**3 + 89*c**2 wrt c? -1896 Let r be (-2)/(-10) - (-7 - 1884/30). What is the third derivative of -4*d**5 - 22*d**5 - 44*d**2 + r*d**2 wrt d? -1560*d**2 Let y(n) be the first derivative of n**7/140 + 37*n**6/360 - 10*n**3 + 17. Let w(p) be the third derivative of y(p). Find the third derivative of w(f) wrt f. 36 Let j = 12 + -9. Let i(g) be the second derivative of 7*g**3 - 15*g**j + g**2 + 7*g**3 - 3*g. What is the first derivative of i(q) wrt q? -6 Let q(c) = 2*c + 16. Let h be q(-11). Let z = h + 8. Differentiate 3*k**z + 1 + 1 - 3 with respect to k. 6*k Let h(d) = 480*d + 300. Let s(m) = -239*m - 151. Let q(r) = 3*h(r) + 5*s(r). Differentiate q(l) wrt l. 245 Let c = 1114 + -1105. Let g(m) be the first derivative of 5/6*m**6 + 0*m**4 + 0*m**5 + 4/3*m**3 + c + 0*m**2 + 0*m. What is the third derivative of g(i) wrt i? 300*i**2 Let j be 5/20 - (-21)/12. Let g = j + 3. What is the derivative of 3 - 4 - 2 + 2*u**3 - g wrt u? 6*u**2 Let h(u) be the third derivative of 5*u**4/24 - 9*u**2. Let l be h(1). What is the second derivative of -8*m + 11*m**5 + m - 4*m**l wrt m? 140*m**3 Let b = 90/19 - 232/57. Let l(s) be the second derivative of b*s**4 + 5/6*s**3 + s + 0*s**2 + 0. What is the second derivative of l(r) wrt r? 16 Suppose -23*p + 36 = -17*p. What is the second de
{ "pile_set_name": "DM Mathematics" }
et l(y) = 18*y**2 + 8688*y - 60887. Determine l(7). 811 Let f(r) = -33534*r + 167759. Determine f(5). 89 Let z(n) = 34*n**2 + 147*n - 39. Give z(6). 2067 Let r(m) = 23890*m + 215064. What is r(-9)? 54 Let k(r) = 717601*r - 717596. Determine k(1). 5 Let g(z) = 70*z**2 + 75368*z - 23692. Calculate g(-1077). 2 Let w(v) = 3175*v - 82550. Give w(26). 0 Let b(q) = 4*q**3 - 600*q**2 - 132*q + 19766. Calculate b(150). -34 Let y(g) = -3122*g + 50006. What is y(16)? 54 Let s(r) = r**3 - 31*r**2 - 596*r - 382. What is s(44)? -1438 Let d(s) = s**3 - 89*s**2 - 152*s + 5594. Determine d(90). 14 Let l(r) = 8*r**2 - 26*r + 45. Give l(-12). 1509 Let i(x) = -17*x**2 - 12011*x - 6358. Give i(-706). -4 Let z(s) = 1769*s - 161159. Give z(91). -180 Let n(r) = -3*r**3 - 143*r**2 + 82*r + 1701. Give n(-48). 69 Let l(r) = 416*r - 17382. Determine l(43). 506 Let m(t) = -1059*t + 54008. Determine m(51). -1 Let r(s) = -20824*s - 1540961. Calculate r(-74). 15 Let u(a) = -661*a - 81275. Calculate u(-122). -633 Let j(d) = 10315*d - 61991. Calculate j(6). -101 Let w(g) = g**3 + 424*g**2 - 96*g - 40666. Calculate w(-424). 38 Let j(r) = 225*r**2 - 124*r - 128. What is j(-1)? 221 Let m(d) = -7*d**2 - 16773*d + 219234. Determine m(13). 2 Let s(x) = 4*x**2 + 3553*x - 7115. Give s(2). 7 Let q(i) = 41015*i + 1107448. Calculate q(-27). 43 Let x(o) = -22078*o - 64143. Determine x(-3). 2091 Let n(l) = -80491*l - 885389. Give n(-11). 12 Let g(z) = -2*z**2 + 4196*z + 59063. Give g(-14). -73 Let q(z) = 85*z**2 - 17669*z + 32754. What is q(206)? 0 Let b(w) = -2*w**2 - 114126*w + 8113027. Determine b(71). -1 Let g(k) = -3*k**2 - 339*k + 48797. Give g(83). -7 Let r(c) = -927*c - 149174. Give r(-161). 73 Let c(t) = t**3 - 170*t**2 + 7216*t - 1406. Determine c(80). -126 Let l(i) = -6*i**3 + 5*i**2 - 37*i + 106. What is l(3)? -122 Let f(r) = -930445*r - 3721791. What is f(-4)? -11 Let n(j) = -150*j + 12130. Calculate n(82). -170 Let r(l) = l**3 - 1241*l**2 - 276757*l + 984. Determine r(-193). 19 Let r(p) = 4674*p + 79605. What is r(-17)? 147 Let w(q) = 2*q**3 + 185*q**2 + 2315*q - 151. Determine w(-15). -1 Let c(a) = 86*a + 19618. Calculate c(-228). 10 Let u(d) = -2811235*d + 19678650. Give u(7). 5 Let j(h) = -h**3 - 338*h**2 - 757*h - 28627. Determine j(-336). -67 Let x(z) = -z**3 + 364*z**2 + 994*z + 39275. What is x(367)? 6 Let f(y) = -y**3 + 76*y**2 + 650*y + 1809. Determine f(84). -39 Let d(y) = 235*y + 16714. Calculate d(-88). -3966 Let n(g) = -54*g + 4479. What is n(97)? -759 Let t(y) = 25*y**2 + 161*y - 306. Calculate t(-8). 6 Let m(g) = 186*g + 41735. Calculate m(-226). -301 Let b(o) = -2*o**2 + 241*o - 6392. Give b(81). 7 Let y(g) = 2*g**2 - 3052*g + 36334. Determine y(12). -2 Let t(z) = 47*z**2 - 1456*z + 225. Calculate t(31). 256 Let l(s) = 34*s**3 - 301*s**2 - 32*s - 35. Calculate l(9). 82 Let n(g) = 2*g**3 - 90*g**2 - 155*g - 6373. What is n(48)? 11 Let o(n) = -37185*n - 3123553. What is o(-84)? -13 Let n(c) = -1126*c + 58536. Determine n(52). -16 Let l(v) = v**3 + 31*v**2 - 140*v + 50. Calculate l(-35). 50 Let j(n) = 10531*n - 1811330. Determine j(172). 2 Let h(c) = -1785*c + 48135. Calculate h(26). 1725 Let m(x) = 3*x**3 + 1111*x**2 + 2533*x - 15844. Determine m(-368). -20 Let q(c) = -7886*c + 31526. Determine q(4). -18 Let i(c) = 2*c**3 + 15*c**2 - 266*c - 892. Give i(10). -52 Let w(d) = -7696*d + 161860. Determine w(21). 244 Let h(p) = -12*p**2 + 2599*p - 8892. Give h(213). 267 Let a(o) = -6*o**3 - 391*o**2 - 534*o - 30484. Calculate a(-65). 1 Let n(l) = 49867*l - 249231. Calculate n(5). 104 Let p(f) = -9*f**2 + 86*f - 316. What is p(14)? -876 Let c(t) = -5581*t + 161837. What is c(29)? -12 Let k(o) = o**2 - 135*o - 8549. Determine k(-47). 5 Let f(u) = -3247*u**2 + 253265*u + 103. Determine f(78). 25 Let c(m) = m**3 + 190*m**2 + 1795*m + 1658. What is c(-180)? 2558 Let g(a) = -329*a**2 + 422*a - 8. Determine g(2). -480 Let j(q) = -3309*q + 49642. Give j(15). 7 Let y(m) = 5*m**3 - 9*m**2 + 391*m - 2804. What is y(7)? 1207 Let y(d) = -105*d**2 - 25577*d + 10487. Determine y(-244). -5 Let k(f) = 7780*f + 15590. What is k(-2)? 30 Let u(f) = -52*f - 1204. Determine u(-10). -684 Let l(z) = -5*z**3 - 42*z**2 - 584*z - 3742. Determine l(-7). 3 Let y(g) = -1410732*g + 5642969. Calculate y(4). 41 Let d(c) = 7*c**2 - 871*c - 824. Give d(125). -324 Let j(z) = 1208*z + 20617. What is j(-16)? 1289 Let q(s) = -81*s**2 - 9648*s + 175. Calculate q(-119). 1246 Let h(v) = v**3 + 27*v**2 - 162*v - 87. Determine h(-32). -23 Let z(b) = 5678*b + 437163. Determine z(-77). -43 Let q(u) = -4049*u - 635682. Calculate q(-157). 11 Let n(i) = 927*i - 6516. Give n(7). -27 Let f(h) = -5*h**2 - 146*h + 2466. Calculate f(15). -849 Let d(r) = -38*r**2 + 1411*r + 87. Calculate d(37). 272 Let t(n) = 62*n**3 - 314*n**2 - 13*n + 56. What is t(5)? -109 Let x(u) = 2*u**3 - 90*u**2 - 537*u + 24171. Calculate x(45). 6 Let y(z) = -59737*z - 1015526. What is y(-17)? 3 Let f(h) = 2*h**3 + 43*h**2 + 30*h + 182. Give f(-21). -7 Let f(a) = -2*a**3 - 57*a**2 - 305*a - 37. What is f(-7)? -9 Let f(g) = -2*g**3 + 416*g**2 - 310*g - 21521. What is f(207)? 7 Let w(d) = -2*d**3 + 201*d**2 - 488*d - 278. Determine w(98). -82 Let d(h) = -96*h**2 - 704*h - 748. Determine d(-6). 20 Let o(s) = -8757*s + 288872. Calculate o(33). -109 Let f(p) = 1726*p + 25270. Determine f(-17). -4072 Let j(k) = -k**3 - 4*k**2 + 86*k + 330. Calculate j(-4). -14 Let x(l) = -112*l**2 + 203*l - 1. Calculate x(1). 90 Let j(m) = -10*m**2 - 322*m - 231. Determine j(-32). -167 Let b(f) = -13*f**3 + 126*f**2 - 301*f + 33. Calculate b(5). 53 Let x(o) = 143*o - 230805. Give x(1614). -3 Let k(y) = -2132*y + 1456141. Give k(683). -15 Let j(p) = 6*p**3 + 45*p**2 - 982*p - 204. Determine j(-17). 17 Let o(q) = -220*q - 6563. Give o(-34). 917 Let j(d) = 1676*d + 18443. Give j(-11). 7 Let l(x) = -x**3 + 121*x**2 + 5461*x + 2. Determine l(-35). -33 Let g(p) = 133*p - 7832. What is g(58)? -118 Let h(a) = -a**3 - 9*a**2 - 5007*a - 45058. What is h(-9)? 5 Let w(x) = 112*x**2 - 50*x - 139. Give w(-2). 409 Let c(w) = -11*w**2 - 53*w - 685. Determine c(16). -4349 Let s(b) = -254*b + 1431. What is s(9)? -855 Let q(v) = -7*v**3 + 74*v**2 + 258*v - 2987. What is q(10)? -7 Let y(t) = t**2 - 223*t + 4595. Calculate y(28). -865 Let z(w) = 4098*w - 631094. Determine z(154). -2 Let x(k) = -k**3 - 11*k**2 - 35*k - 70. What is x(-2)? -36 Let l(x) = 1261*x - 395950. Give l(314). 4 Let o(l) = -13592*l - 3642680. Calculate o(-268). -24 Let i(z) = z**3 - 53*z**2 + 365*z - 19346. What is i(53)? -1 Let j(y) = 11*y**2 + 4156*y + 170453. Give j(-331). -12 Let d(q) = -2*q**2 - 789*q - 1626. Give d(-2). -56 Let y(q) = 290*q - 4456. Determine y(15). -106 Let u(v) = v**3 + 20*v**2 - 3765*v - 1265. Calculate u(-72). 247 Let s(q) = 2*q**2 - 150*q - 14708. Determine s(-56). -36 Let b(n) = -993*n - 3469. What is b(-3)? -490 Let j(s) = 149*s - 7653. Calculate j(51). -54 Let a(i) = -1231*i + 30643. What is a(25)? -132 Let o(d) = -13927*d - 13926. Give o(-1). 1 Let u(b) = -134*b**3 + 3*b**2 - 22*b + 5. Determine u(2). -1099 Let y(p) = p**2 - 567*p - 165140. Calculate y(-212). 8 Let v(n) = -36*n**2 - 961*n + 254. Give v(-27). -43 Let m(c) = -c**3 - 2*c**2 - 250*c + 498. Calculate m(2). -18 Let g(y) = -5189*y - 612306. What is g(-118)? -4 Let w(g) = -1242*g + 160155. Give w(128). 1179 Let o(t) = 22*t**3 - 690*t**2 + 2575*t + 469. Determine o(27). 10 Let z(m) = m**3 + 89*m**2 + 1888*m - 95. Calculate z(-54). 13 Let q(i) = 5*i**3 - 19*i**2 + 237*i - 1922. What is q(8)? 1318 Let q(d) = 1113*d**2 + 40067*d - 132. Give q(-36). -96 Let a(t) = 2*t**2 + 18*t - 9285. Give a(-73). 59 Let h(p) = -p**3 + 83*p**2 + 24*p - 735. Determine h(83). 1257 Let p(x) = -463*x + 167100. Give p(361). -43 Let w(b) = 19848*b - 39741. Determine w(2). -45 Let l(b) = 3*b**2 + 156*b + 1260. Determine l(-42). 0 Let u(q) = 8450*q - 117509. Calculate u(14). 791 Let u(h) = -28*h**2 + 33*h - 22. Calculate u(6). -832 Let x(p) = 685*p - 13888. Give x(21). 497 Let f(g) = 37663*g + 527266. Determine f(-14). -16 Let f(b) = -b**2 - 831*b - 32408. What is f(-41)? -18 Let h(d) = -2*d**3 - 133*d**2 + 177*d + 7343. What is h(-67)? -27 Let m(a) = 6*a + 73. Give m(-13). -5 Let y(l) = 3*l**2 - 13317*l + 79891. Calculate y(6). 97 Let f(g) = 296*g**3 -
{ "pile_set_name": "DM Mathematics" }
rst derivative of -t**3/3 - 11*t**2/2 - 8*t + 3. List the prime factors of q(-9). 2, 5 Suppose 0 = -7*p + 295 - 85. What are the prime factors of p? 2, 3, 5 Let k = 235 + -78. What are the prime factors of k? 157 Let w(k) = -13*k**2 - 33*k - 11. Let p(c) = -3*c**2 - 8*c - 3. Let g(q) = 9*p(q) - 2*w(q). What are the prime factors of g(-4)? 3 Let j = -31 - -72. List the prime factors of j. 41 Suppose -3*i - 5*x - 14 + 35 = 0, 12 = 4*x. Let j(g) = 2*g**2 - 2*g + 1. What are the prime factors of j(i)? 5 Let g(s) = 30 + s - 5*s + 4*s**2 - 31. List the prime factors of g(4). 47 Let d be ((-9)/(-6))/(6/(-8)). Let n be (2 - 3)/(d/(-6)). What are the prime factors of 1 - ((-6)/n + -8)? 7 Let g be 1*(2 + 0 + 1). Suppose -g*a + 20 = 2*a. Suppose a*k - 24 = 2*k. What are the prime factors of k? 2, 3 Let y(l) = -4*l + 1 + 3*l + 2. What are the prime factors of y(-10)? 13 Let m(o) = o**2 - 10*o + 1. List the prime factors of m(18). 5, 29 Let y be ((-34)/6)/((-7)/63). Let i = y - 28. List the prime factors of i. 23 Let p(c) = -c**3 + c. Let m be p(0). Suppose v = -3*g + 6, m*v = -3*g + 2*v + 6. Let r = g + 1. List the prime factors of r. 3 Suppose 0 = 5*i + 3*m - 126, -4*m - 139 - 8 = -5*i. Let b be 3/6 + i/6. Suppose -b = 5*v, 5*t + 6*v = 3*v + 42. What are the prime factors of t? 3 Let y be 7*(1 - (-33)/21). Let x = y + -11. Suppose 2*o - x = -0*o - h, -2*o - 4*h = 2. What are the prime factors of o? 5 Let o(k) = -36*k - 36. What are the prime factors of o(-5)? 2, 3 Suppose 6*z = 4*z + 268. What are the prime factors of z? 2, 67 Let r be -2*267/(-12)*2. Let i = -51 + r. What are the prime factors of i? 2, 19 Let v(o) = -o**3 + 5*o**2 - 5*o + 3. Let g be v(3). Let d = g - 1. List the prime factors of d. 5 Let v = 5 - 3. Suppose 0 = v*j - 0*j - 4. Suppose -2*c - j*c = -16. List the prime factors of c. 2 Suppose -x = -6 + 24. Suppose 0 = 5*t - 2*d + 50, -4*d - d - 25 = 0. Let q = t - x. List the prime factors of q. 2, 3 What are the prime factors of 1/3 + (-262)/(-6)? 2, 11 Let v = 2 - -47. List the prime factors of v. 7 List the prime factors of (123/12 + 2)*4. 7 Suppose -m = -4*m - 24. Let a = -5 - m. Suppose -a*b = -0*b - 12. What are the prime factors of b? 2 Suppose 0*m + 105 = 3*m. What are the prime factors of m? 5, 7 Let f(o) = -5*o**2 + 6*o**2 - 2*o + 10*o + 10 + 3*o. What are the prime factors of f(-13)? 2, 3 Let n(o) be the first derivative of o**3/3 - 23*o + 1. Let r be n(0). Let g = -14 - r. List the prime factors of g. 3 Let a be (10/4)/((-2)/(-4)). Suppose 0 = -2*l - 5*g - 3, -a*g + 25 = 4*l + 6. What are the prime factors of l? 11 Let y be (-47)/(-4)*(-8)/(-1). Let m = y + -24. Suppose -4*z = -9*z + m. What are the prime factors of z? 2, 7 Let d(q) be the third derivative of -11*q**6/120 - q**5/60 + q**4/24 + q**3/6 + 2*q**2. Let o = -1 - 0. List the prime factors of d(o). 2, 5 Suppose -5*l - 28 - 12 = 0. Let d(i) = -3*i + 11. Let b(g) = g. Let h(w) = 4*b(w) + d(w). List the prime factors of h(l). 3 Let w be ((-2)/4)/(6/(-24)). Let f(b) = b**2 + 6*b + 7. Let d be f(-5). Suppose d*l = -w*l + 64. What are the prime factors of l? 2 Let j(p) = 4*p - 1. Let o be j(1). Let k(m) = 2*m - 3. Let v be k(2). What are the prime factors of 9/1 - (v - o)? 11 Suppose 609 = 2*n + n - 2*z, -2*n = 4*z - 406. List the prime factors of n. 7, 29 Let x = 9 + -4. Let p(n) = 2*n**2 + 2*n - 1. Let c be p(1). Suppose 3 = -k - x*r, 0 = c*k - r - 5 - 2. List the prime factors of k. 2 Suppose -2*r = -4, 8*r - 10 = p + 3*r. Suppose -61 = -p*o - 4*o - 5*n, 0 = -5*o - 3*n + 60. Let z = 3 + o. What are the prime factors of z? 2, 3 Let h = 4 + -2. Suppose 12 = -h*i + 4*y, -2*i - 16 = -3*y - 5. What are the prime factors of ((-14)/6)/(i/12)? 7 Suppose -9*d + 612 = -990. What are the prime factors of d? 2, 89 Let o = -10 + 15. What are the prime factors of o? 5 Let x(t) = t + 2. Let z be x(7). Let m = -5 + z. Suppose -m*i + 2*i = -34. What are the prime factors of i? 17 Let z be 0/(-1) + (2 - 2). Let y = z + 8. What are the prime factors of y? 2 Let l = -1 - -8. List the prime factors of l. 7 Suppose -4*c + 4 = -2*c. Suppose -3*b = 4*r + 26, c*b = 4*r - b + 14. Let w(d) = d**2 + 3*d - 5. List the prime factors of w(r). 5 Let m be 3*((-11)/(-3) - -3). Suppose -m = 4*u - 60. What are the prime factors of u? 2, 5 Suppose 0 = 4*l - 4*m + 2*m - 42, 5*l - 54 = 4*m. List the prime factors of ((-15)/l)/(2/(-12)). 3 Let a = 45 - 32. List the prime factors of a. 13 Suppose -x + 0*x = 5, 5*x = -z + 28. List the prime factors of z. 53 Let n be -4*(-3)/6 - 1. Suppose 5*l + p - n = 5, -3*p - 2 = 5*l. Suppose l = -4*o + 54. What are the prime factors of o? 13 Let c = -8 + 24. Let v = c + -7. List the prime factors of v. 3 What are the prime factors of (-13*(-2)/(-2))/((-7)/77)? 11, 13 Suppose 0 = -3*k + 4*d - 3, 3*d + 7 = 16. Suppose -66 = 4*g - k*c - 289, 0 = -c - 5. What are the prime factors of g? 2, 13 Let r(i) be the first derivative of -i**5/60 + 7*i**4/24 + i**2/2 - 2. Let y(z) be the second derivative of r(z). What are the prime factors of y(6)? 2, 3 Let w = 990 + -647. What are the prime factors of w? 7 Suppose -20 = -i + 3. Let r = 15 - 10. Suppose o + z - 5*z - i = 0, -23 = -r*o - 3*z. What are the prime factors of o? 7 Let j = -4 + 8. Suppose 4*h - h = j*s + 91, -2*h + 70 = 2*s. Let v = h - 22. List the prime factors of v. 11 Suppose 2*w = w + 7. Suppose 0 = 5*p - 20, 2*x - 2*p + w*p + 30 = 0. What are the prime factors of 4/(-10) - 60/x? 2 Let a(u) = u**2 + 6*u - 4. Let w be a(-6). Let v(n) = -4*n + 4. Let k be v(w). Suppose -6*f + f + k = 0. What are the prime factors of f? 2 Suppose d - 19 - 10 = 0. List the prime factors of d. 29 Let c be -2 + 0 + -11 + 1. Let u be c/(-15) + (-1)/(-5). What are the prime factors of (u + -2)*13*-1? 13 Suppose 6*h - 44 = 4*h. List the prime factors of h. 2, 11 Suppose 7 = -2*u + 39. What are the prime factors of u? 2 Let c = -1 + 1. Let x = 7 + c. Suppose -5*a + x + 3 = 0. List the prime factors of a. 2 Let j = 28 - -36. What are the prime factors of j? 2 Suppose 3*o = k + 3*k, -k + 23 = 5*o. List the prime factors of o. 2 Let y(x) = 2*x**2 - x - 3. Let h = -5 - -9. Let c be y(h). Suppose -5*d + 5*o = -c, 8 = d - 4*o + 6*o. List the prime factors of d. 2, 3 Suppose w = -3*d + 169, 2*w + 2*w = -4*d + 228. What are the prime factors of d? 2, 7 Suppose 5*y = y + 20. Let v = -20 + y. Let x = 25 + v. What are the prime factors of x? 2, 5 Let f(d) = d**2 - 7*d + 2. Let m be f(6). List the prime factors of 35*((-8)/5)/m. 2, 7 Suppose -3*z - 2*p + 10 = 0, 4*z + 2*p - 13 = -p. Suppose 0 = -z*v + 71 - 23. What are the prime factors of v? 2, 3 Suppose -2*f + 6 = -18. Let n = f + 14. List the prime factors of n. 2, 13 Let t be (1 + 7)*1/2. Let z = 10 - 6. Suppose -6 - 10 = -t*v + z*w, 2*w - 24 = -2*v. List the prime factors of v. 2 Let r(v) = -2*v**3 + 6*v**2 + 6*v - 4. Let z(s) = 5*s**3 - 19*s**2 - 19*s + 11. Let n(b) = 8*r(b) + 3*z(b). List the prime factors of n(-8). 3 Suppose -1208 = -12*h - 116. List the prime factors of h. 7, 13 Let a(b) = -b**3 + b**2 - 3 - 4 + b + 6. Let v be (1/(-2))/((-4)/(-16)). What are the prime factors of a(v)? 3 Let j(p) = -2*p - 3 + 0 + 0. Let o be j(-7). Suppose 5*a = o + 19. What are the prime factors of a? 2, 3 Suppose 6*p - 4*p - 34 = 0. Let q be 42*(-3)/(-6) - -3. Let h = q - p. What are the prime factors of h? 7 Suppose -5*u + 68 + 107 = 0. Let w = -25 + u. What are the prime factors of w? 2, 5 Suppose -3*w - 4*v = 13, -9 = w - 2*v + 12. Let p = 18 + w. Suppose -9 = -5*b - 4*s + p, 3*b - 3*s - 15 = 0. List the prime factors of b. 2 Let k = 0 - -6. Let c be (-99)/(-2) - k/4. Suppose 0 = b - 5*b + 2*a + 54, -5*b - 4*a = -c. What are the prime factors of b? 2, 3 List the prime factors of 4/(-22) + (-4)/((-132)/1953). 59 Let f(x) = x**2 - 7*x - 8. Let r be f(8). Suppose r = -5*g + 92 - 22. List the prime factors of g. 2, 7 Suppose -w + 5*h = 9, h = 3*w + 6*h - 53. What are the prime factors of w? 11 Suppose -2*c + 5*c = -21. Let u(y) be the first derivative of -y**4/4 - 2*y**3 + 3*y**2 + 5*y - 1. What are the prime factors of u(c)? 2, 3 Let f(k) = 4*k + 18. Let q(j) = 3*j + 17. Let r(t) = 2*f(t) - 3*q(t). Let a be r(0). List the prime factors of 1/3*(-6 - a). 3 Suppose 2*h - 54 = 4*m, h + m + 2*m - 12 = 0. Let o = 37 -
{ "pile_set_name": "DM Mathematics" }
*a(m) + 4*t(m)? 7*m**2 - 3*m - 1 Let i(h) = h**3 + 8*h**2 + 6*h - 2. Let t be i(-7). Suppose -t*y - 8 = -3. Let j(x) = 5*x**3 - 5. Let c(g) = g**3 - 1. What is y*j(w) + 6*c(w)? w**3 - 1 Let u = 3 + 1. Let p(f) = 1 - 6*f**2 + u*f**2 + 3*f**2 + f. Let v(t) = -t - 1. Suppose -5*m + 2*z - 16 = 0, 5*z - 3 = -5*m + 2. What is m*v(l) - 2*p(l)? -2*l**2 Let h(t) = 21*t**3 - 7*t**2. Let n(y) = 7*y**3 - 2*y**2. Calculate -2*h(r) + 7*n(r). 7*r**3 Let f(y) = -2*y + 3. Let h(d) be the second derivative of 0 - 1/3*d**3 + 3*d + 2*d**2. Determine 5*f(m) - 4*h(m). -2*m - 1 Suppose -6*w - 2 = -8*w. Let s(h) = -9*h + 6. Let c(v) = -v + 1. Give w*s(j) - 6*c(j). -3*j Let k(p) = -10*p**2 + p + 3. Let o(j) = -9*j**2 + 2. Calculate 3*k(b) - 4*o(b). 6*b**2 + 3*b + 1 Let j(p) = -15*p**3 - 21*p**2 - 16*p. Let m(u) = -3*u**3 - 4*u**2 - 3*u. Let z(l) = -2*l**3 + 3*l + 1. Let o be z(-2). Determine o*m(x) - 2*j(x). -3*x**3 - 2*x**2 - x Let m(n) = -9*n**3 - 8*n**2 + 6*n - 6. Let l(c) = -8*c**3 - 7*c**2 + 5*c - 5. Determine 7*l(d) - 6*m(d). -2*d**3 - d**2 - d + 1 Let c(t) = 2*t**3 + 7*t**2 - 7. Let z(n) = -6 + 3*n**3 - 2*n**3 - 3 + 6 + 3*n**2. Suppose 45 = 3*o + 2*o. What is o*z(h) - 4*c(h)? h**3 - h**2 + 1 Let r(x) = -8*x - 6. Let p(o) = 2*o - 4. Let s(k) = k - 3. Let q(n) = -2*p(n) + 3*s(n). What is -14*q(b) + 2*r(b)? -2*b + 2 Suppose 4*m + m = 10. Suppose -6*y = c - y + 23, 5*y = 4*c - 33. Let o(g) = -c*g + g - g. Let k(v) = 1. Give m*k(t) - o(t). 2*t + 2 Let m(p) = -1. Let q(t) = -t**3 - t**2 + 2*t + 8. Give 6*m(i) + q(i). -i**3 - i**2 + 2*i + 2 Let b(a) = 4*a**3 - 4*a**2 - 7*a - 5. Let l(v) be the first derivative of -5/3*v**3 + 4 - 6*v - 4*v**2 + 5/4*v**4. What is 6*b(y) - 5*l(y)? -y**3 + y**2 - 2*y Let o(f) = 4*f**3 - 7*f**2 - 2*f + 6. Let w(d) = 13*d**3 - 22*d**2 - 7*d + 18. Calculate -7*o(i) + 2*w(i). -2*i**3 + 5*i**2 - 6 Suppose -z - 3*z + 12 = 4*u, -5*u + 4*z - 21 = 0. Let g(l) = -l**2 + l + 1. Let y(i) = -6*i**2 + 5*i + 4. Give u*y(f) + 4*g(f). 2*f**2 - f Let l(k) = -7*k - 3 + 1 - 2*k - 9*k**2 + 3. Let f(m) = 4*m**2 + 4*m. Determine -5*f(n) - 2*l(n). -2*n**2 - 2*n - 2 Let b(a) = -16*a - 15. Let c(m) = -3*m - 3. Calculate -2*b(h) + 11*c(h). -h - 3 Let i(w) = -w - 4. Let h(r) = r - 1. Determine -4*h(o) + i(o). -5*o Let h(w) = 24*w**3 + 6*w**2 - 17*w + 17. Let z(u) = 8*u**3 + 2*u**2 - 6*u + 6. Give 6*h(b) - 17*z(b). 8*b**3 + 2*b**2 Let u(t) = t**2 + 3*t - 3. Let z(w) = w**2 + 2*w - 2. Let x(p) = -2*u(p) + 3*z(p). Let v(y) = -3*y**2 - 12 + y**2 + 12. Calculate -2*v(f) - 6*x(f). -2*f**2 Let s(q) = 4 + 97*q + 1 - 91*q. Let y(a) = -a - 1. Give s(o) + 3*y(o). 3*o + 2 Let b(k) = -17*k - 2. Let l(q) = 1. Let z(g) = -b(g) - 3*l(g). Let x(t) = -2*t. Determine -18*x(u) - 2*z(u). 2*u + 2 Let q(h) = 5*h**2 - 10*h + 1. Let v(m) = 6*m**2 - 11*m + 1. Give -5*q(x) + 4*v(x). -x**2 + 6*x - 1 Let y(p) be the third derivative of p**4/24 + 4*p**3/3 - p**2. Let d(i) = 1. Suppose 6*f + 100 = 88. Calculate f*y(o) + 14*d(o). -2*o - 2 Let k(a) = 3*a**3 + 3. Suppose 0 = 2*m - 4*j + 4, m - 3*m + 3*j - 4 = 0. Let v(i) = 3*i**3 + 2. What is m*k(t) + 3*v(t)? 3*t**3 Let y(u) = -10*u**3 + 6*u**2 - 22*u. Let s(q) = 3*q**3 - 2*q**2 + 7*q. Give -7*s(v) - 2*y(v). -v**3 + 2*v**2 - 5*v Let q = 1 + -3. Let o(g) = g**2 - 1 - 2*g + 3 + 0*g. Let y = 34 + -45. Let l(x) = -6*x**2 + 11*x - 11. Give q*l(t) + y*o(t). t**2 Let q(i) = -4*i + 5*i - 2*i - i. Let h(g) = g. Calculate 3*h(w) + q(w). w Let r(h) = 6*h**3 + 4*h**2 + 4*h + 3. Let t(o) = 6*o**3 + 3*o**2 + 3*o + 2. Calculate -3*r(w) + 4*t(w). 6*w**3 - 1 Let g(o) = 15*o - 3. Let j(b) = -1. Calculate -g(a) + 3*j(a). -15*a Let m(l) = -3*l**3 - l**2 + l - 2. Let k(i) = 4*i**3 + i**2 - i + 3. Give -2*k(b) - 3*m(b). b**3 + b**2 - b Let z(s) = -s**2 - 9*s - 3. Let k(l) = -l - 1. Give -3*k(v) + z(v). -v**2 - 6*v Let w(h) = -h**2 + 3*h + 0*h + 1 - 4*h. Let a(c) = -c**2 - 2*c + 1. Suppose -10 = -4*m + 38. Suppose 0 = -0*p - 4*p - m. Give p*a(t) + 4*w(t). -t**2 + 2*t + 1 Let x(h) = 12*h + 17. Let d(g) = -24*g - 34. Let j(w) = -3*d(w) - 7*x(w). Let u(s) = 4*s + 6. Give 4*j(f) + 11*u(f). -4*f - 2 Let h(p) = -4*p + 7. Let i(x) = 3*x - 6. Let r be 2/(-3) + 208/6. Suppose 3*n = 5*c + n + r, -4*c - 3*n = 18. Determine c*i(l) - 5*h(l). 2*l + 1 Let i(v) = -9*v**3 - 19*v**2 + 7*v - 3. Let a(l) = 5*l**3 + 9*l**2 - 4*l + 2. Determine 7*a(h) + 4*i(h). -h**3 - 13*h**2 + 2 Let u = -27 + 32. Let w(d) = d**2 - 2*d + 1. Let n(z) = z**2 - 4*z + 1. Suppose 6 = -3*s - 3. Give s*n(m) + u*w(m). 2*m**2 + 2*m + 2 Let s(l) = -2*l**3 - 3*l**2 + 3*l - 5. Let u(d) be the second derivative of -3/20*d**5 - 3*d**2 - 1/3*d**4 + 2/3*d**3 - 3*d + 0. Calculate 4*s(y) - 3*u(y). y**3 - 2 Let p(b) = b - 1. Let x(n) = 114*n - 95. What is 190*p(a) - 2*x(a)? -38*a Let l(y) = 8*y + 2*y**2 + 0*y**2 + 12 - 14 + 10. Let d(x) = x**2 + 3*x + 3. Calculate -8*d(h) + 3*l(h). -2*h**2 Let k(x) = 10*x - 1 + 0 - 4*x. Let w(z) = -z + 1. Let p be 0 - (0 - 2)*2. Give p*w(n) + k(n). 2*n + 3 Let a = -11 + 6. Let i(y) = -11*y**2 + 3*y - 11. Let t(x) = -7*x**2 + 2*x - 7. What is a*i(l) + 8*t(l)? -l**2 + l - 1 Let c(m) be the first derivative of -13*m**2/2 - 11*m - 2. Let u = -25 + 7. Let q = 27 + u. Let j(l) = 6*l + 5. What is q*j(g) + 4*c(g)? 2*g + 1 Let o(y) = -y**3 - 2. Let n = 46 - 49. Let q(b) = -b**3 - 3. Give n*o(v) + 2*q(v). v**3 Let n(b) = -4*b - 2*b**3 + 0*b**3 + 3*b**3. Suppose 7 = 4*u - 5. Let g(x) = 3*x**3 - 2*x - u*x**3 - 3*x + x**3. Give -4*g(z) + 5*n(z). z**3 Let t(a) = -a - 1. Suppose -5*f = -2*j + 14, 8*j - 11*j + 11 = -5*f. Let k(c) = 1. What is j*k(v) + t(v)? -v - 4 Let s(c) = 12*c + 3. Let x(d) = 6*d + 2. Give -3*s(o) + 5*x(o). -6*o + 1 Let v(u) = -3*u - 11. Let z(t) = 6*t + 21. Give 11*v(n) + 6*z(n). 3*n + 5 Let z(u) = -2*u**3 - 6*u**2 + 6. Let y(l) = -l**3 - l**2 + 1. Give 6*y(n) - z(n). -4*n**3 Let c(q) = 2. Let y(s) = -1. Let n(i) = -3*c(i) - 8*y(i). Let g(w) = w + 9. What is -2*g(a) + 9*n(a)? -2*a Let p(f) = 2*f + 12. Let u(k) = k + 11. Calculate 4*p(o) - 5*u(o). 3*o - 7 Let a(d) = 1. Let o(j) be the third derivative of -j**4/24 + 7*j**3/6 - 62*j**2. Determine -35*a(n) + 5*o(n). -5*n Let w(i) = -2*i**2 + 5*i. Let j(a) = -a. Let g(n) = -5*n**3 - n. Let p be g(-1). Suppose -2*q - 128 = -p*q. Let u be 72/q*(-16)/(-6). Calculate u*j(y) + w(y). -2*y**2 - y Suppose -6 = 2*g - 4. Let z(l) = 1. Let m(w) = -w**3 + 2*w**2 - 3*w + 4. Give g*m(k) + 4*z(k). k**3 - 2*k**2 + 3*k Let p(t) = -9*t**2 + 5*t + 2. Let f(o) = 5*o**2 - 3*o - 1. What is 5*f(u) + 3*p(u)? -2*u**2 + 1 Let j(m) = -174*m + 5. Let s(h) = 12093*h - 348. Calculate -348*j(w) - 5*s(w). 87*w Let x(k) = -8*k**2 - 11*k + 11. Let g(l) = l**3 - 7*l**2 + 6*l - 5. Let v be g(6). Let h be (55/2)/v*2. Let i(t) = 3*t**2 + 4*t - 4. What is h*i(a) - 4*x(a)? -a**2 Let x = -3 + -1. Let p(n) = -n. Let f(z) = 1. Let i(h) = f(h) - 6*p(h). Let r(s) = 13*s + 2. Calculate x*r(q) + 9*i(q). 2*q + 1 Let s(g) = -2*g**2 + 9 - 4*g**3 - 12 + 2*g**2. Let o(f) = -f**3 - 1. Calculate 3*o(b) - s(b). b**3 Let a(s) = s + 1. Let y(f) = 9*f + 8. Suppose 0 = 2*k - 30 - 36. Let o = k + -9. Calculate o*a(r) - 3*y(r). -3*r Let n be -3 - (1 + -2 - 9). Let v(h) = -2*h**3 - 2*h + 4. Let q(d) be the second derivative of d**5/20 + d**3/6 - d**2 + 6*d. What is n*q(u) + 3*v(u)? u**3 + u - 2 Let t(k) be the first derivative of 0*k**3 + 8*k**2 - 1 - 2*k**3 + 2. Let n(g) = -g**2 + 3*g. Suppose 42 = 4*f - 2. Determine f*n(r) - 2*t(r). r**2 + r Let l(w) = 61*w**2 + 53*w**2 - 4*w**3 + w**3 + 2*w - 109*w**2. Let k(r) = r**2 + r. Give -4*k(q) + l(q). -3*q**3 + q**2 - 2*q Let v(w) = -5*w**3 - 4*w**2 - 4*w. Let d(o) = -o**2 - o. Determine 4*d(s) - v(s). 5*s**3 Let n(w) = -w + 1. Let y(l) = 5*l - 4. Determine 2*n(c) + y(c). 3*c - 2 Let v be 1/(1/2 - 0). Let a(m) = 7*m + 5 + 3 - 1 + v. Let c(b) = 7 + 10*b + 11 - 5. Determine 7*a(x) - 5*c(x). -x - 2 Let m(t) = 28*t**3 - 16*t. Let u(i) = 9*i**3 - 5*i. Let c be (1 + 1)*136/(-16) + 1. What is c*u(j) + 5*m(j)? -4*j**3 Let u(d) = 7*d**2. Let n be u(-1). Let l = 4 + n. Let i(x) = 3*x + 1. Let p(t) be the third derivative of t**4/3 + t**3/2 + t**2. Calculate l*i(z) - 4*p(z). z - 1 Let u(f) = -16*f - 3. Let v(o) = -559*o - 104. Determine -104*u(k) + 3*v(k). -13*k Let y(a) = 17 - 18 + 13*a**2 + 9*a - 8. Let w(q) = -3*q + 6. Let v be w(5). Let r(h) = -3 + 4*h + 6*h**2
{ "pile_set_name": "DM Mathematics" }
17 What is the remainder when 7158 is divided by 55? 8 Calculate the remainder when 84078 is divided by 26. 20 What is the remainder when 2369160 is divided by 886? 882 Calculate the remainder when 19089 is divided by 2386. 1 What is the remainder when 66532 is divided by 20? 12 What is the remainder when 5870554 is divided by 239? 236 Calculate the remainder when 783209 is divided by 72. 65 What is the remainder when 2683 is divided by 445? 13 What is the remainder when 1662 is divided by 95? 47 Calculate the remainder when 8578 is divided by 6. 4 What is the remainder when 5605 is divided by 1864? 13 Calculate the remainder when 863 is divided by 139. 29 What is the remainder when 80720 is divided by 1523? 1 What is the remainder when 34001 is divided by 11324? 29 What is the remainder when 89180 is divided by 22291? 16 Calculate the remainder when 3356 is divided by 9. 8 What is the remainder when 664 is divided by 162? 16 What is the remainder when 7869 is divided by 67? 30 What is the remainder when 2354 is divided by 58? 34 What is the remainder when 2130532 is divided by 222? 220 Calculate the remainder when 4751 is divided by 1582. 5 Calculate the remainder when 255435 is divided by 36477. 96 Calculate the remainder when 5371 is divided by 4532. 839 What is the remainder when 10909 is divided by 3324? 937 Calculate the remainder when 47804 is divided by 4. 0 What is the remainder when 74441 is divided by 74423? 18 What is the remainder when 156885 is divided by 25? 10 What is the remainder when 7273 is divided by 312? 97 What is the remainder when 1347 is divided by 526? 295 What is the remainder when 18354 is divided by 140? 14 What is the remainder when 239299 is divided by 3988? 19 Calculate the remainder when 989 is divided by 342. 305 What is the remainder when 1222493 is divided by 5686? 3 Calculate the remainder when 172044 is divided by 95. 94 What is the remainder when 197530 is divided by 98711? 108 What is the remainder when 1660 is divided by 530? 70 Calculate the remainder when 27463 is divided by 227. 223 Calculate the remainder when 4884 is divided by 182. 152 What is the remainder when 8443 is divided by 2726? 265 Calculate the remainder when 21269 is divided by 2658. 5 What is the remainder when 4090 is divided by 18? 4 What is the remainder when 141310 is divided by 289? 278 What is the remainder when 116630 is divided by 53? 30 Calculate the remainder when 849 is divided by 82. 29 What is the remainder when 40961 is divided by 293? 234 What is the remainder when 74776 is divided by 269? 263 Calculate the remainder when 56269 is divided by 170. 169 What is the remainder when 8112 is divided by 647? 348 Calculate the remainder when 623 is divided by 121. 18 Calculate the remainder when 2220 is divided by 1101. 18 What is the remainder when 56189 is divided by 31? 17 Calculate the remainder when 15225 is divided by 9. 6 Calculate the remainder when 24818 is divided by 2246. 112 Calculate the remainder when 2716 is divided by 904. 4 Calculate the remainder when 16246 is divided by 492. 10 Calculate the remainder when 1960 is divided by 1575. 385 What is the remainder when 10020 is divided by 23? 15 What is the remainder when 1165156 is divided by 161? 160 Calculate the remainder when 720731 is divided by 17. 16 Calculate the remainder when 4267 is divided by 826. 137 Calculate the remainder when 23831 is divided by 24. 23 Calculate the remainder when 134544 is divided by 109. 38 Calculate the remainder when 37928 is divided by 9480. 8 Calculate the remainder when 5134 is divided by 1870. 1394 What is the remainder when 33812 is divided by 28? 16 What is the remainder when 2474 is divided by 168? 122 What is the remainder when 100287 is divided by 42? 33 Calculate the remainder when 7862 is divided by 1055. 477 Calculate the remainder when 11985 is divided by 1615. 680 What is the remainder when 25636 is divided by 95? 81 Calculate the remainder when 57287 is divided by 132. 131 Calculate the remainder when 228376 is divided by 19031. 4 Calculate the remainder when 24158 is divided by 2414. 18 What is the remainder when 520136 is divided by 173377? 5 What is the remainder when 550 is divided by 469? 81 What is the remainder when 722427 is divided by 2571? 2547 Calculate the remainder when 195112 is divided by 120. 112 Calculate the remainder when 813 is divided by 206. 195 What is the remainder when 12017 is divided by 998? 41 What is the remainder when 544 is divided by 161? 61 Calculate the remainder when 23109 is divided by 4433. 944 Calculate the remainder when 6671 is divided by 121. 16 What is the remainder when 65259 is divided by 149? 146 What is the remainder when 11280070 is divided by 11? 10 What is the remainder when 5262 is divided by 170? 162 What is the remainder when 82612 is divided by 193? 8 Calculate the remainder when 95027 is divided by 105. 2 Calculate the remainder when 467 is divided by 191. 85 What is the remainder when 31743 is divided by 662? 629 What is the remainder when 39673 is divided by 6612? 1 What is the remainder when 7058 is divided by 107? 103 What is the remainder when 229 is divided by 44? 9 What is the remainder when 45258 is divided by 620? 618 Calculate the remainder when 5235 is divided by 1156. 611 Calculate the remainder when 16002 is divided by 59. 13 What is the remainder when 1705 is divided by 95? 90 Calculate the remainder when 844 is divided by 381. 82 What is the remainder when 5179 is divided by 1724? 7 What is the remainder when 642779 is divided by 98? 95 What is the remainder when 48576 is divided by 593? 543 What is the remainder when 19641 is divided by 758? 691 What is the remainder when 14214 is divided by 417? 36 Calculate the remainder when 32384 is divided by 178. 166 Calculate the remainder when 423 is divided by 163. 97 Calculate the remainder when 1343 is divided by 8. 7 What is the remainder when 16446 is divided by 22? 12 Calculate the remainder when 655831 is divided by 584. 583 What is the remainder when 678349 is divided by 2449? 2425 Calculate the remainder when 334270 is divided by 966. 34 Calculate the remainder when 411024 is divided by 3574. 14 What is the remainder when 13249 is divided by 4407? 28 What is the remainder when 597988 is divided by 67? 13 What is the remainder when 95036 is divided by 132? 128 Calculate the remainder when 918 is divided by 335. 248 What is the remainder when 10648 is divided by 142? 140 What is the remainder when 5263 is divided by 118? 71 Calculate the remainder when 914 is divided by 136. 98 Calculate the remainder when 1575 is divided by 446. 237 Calculate the remainder when 705594 is divided by 16. 10 What is the remainder when 551696 is divided by 68? 12 What is the remainder when 163112 is divided by 122? 120 What is the remainder when 262078 is divided by 273? 271 Calculate the remainder when 47862 is divided by 278. 46 What is the remainder when 2212 is divided by 31? 11 Calculate the remainder when 14507 is divided by 19. 10 What is the remainder when 17862 is divided by 36? 6 Calculate the remainder when 122382 is divided by 868. 862 Calculate the remainder when 8749 is divided by 32. 13 Calculate the remainder when 26789 is divided by 394. 391 Calculate the remainder when 18081 is divided by 1496. 129 Calculate the remainder when 220829 is divided by 64. 29 Calculate the remainder when 234352 is divided by 1347. 1321 What is the remainder when 4883 is divided by 65? 8 Calculate the remainder when 781 is divided by 562. 219 What is the remainder when 22779 is divided by 68? 67 Calculate the remainder when 7365 is divided by 35. 15 What is the remainder when 2100 is divided by 653? 141 What is the remainder when 89724 is divided by 701? 697 What is the remainder when 22593 is divided by 236? 173 Calculate the remainder when 26237 is divided by 18. 11 What is the remainder when 691 is divided by 351? 340 What is the remainder when 3458 is divided by 806? 234 Calculate the remainder when 15131 is divided by 1698. 1547 Calculate the remainder when 3254 is divided by 359. 23 What is the remainder when 274060 is divided by 46? 38 Calculate the remainder when 5150 is divided by 194. 106 Calculate the remai
{ "pile_set_name": "DM Mathematics" }
. Let p = f + t. What is the third smallest value in -1/4, p, -3? p Let v = -5/231 + -4/33. Let w = 4/11 + 3/22. Let l(h) = -h**2 + 7*h - 3. Let k be l(5). Which is the smallest value? (a) k (b) w (c) v c Let l = 6 - 0. Let f = l + -6.4. Let j(q) = q**2 - 3*q - 18. Let a be j(6). What is the biggest value in 5, f, a? 5 Let v(i) = i**2 - 6*i + 1. Let h be v(6). Let s = 43 + -42.9. Let u = 4.6 + -5. Which is the second biggest value? (a) s (b) u (c) h a Let m = 4.1 - 0.1. Suppose -17 + 5 = -3*z. Suppose 6*k = -3*x + z*k - 13, -6 = 2*x + 4*k. What is the second smallest value in 3/2, m, x? 3/2 Let o = -0.2 - -0.5. Let k = -29 + 89/3. Let p = -4 - -3. Which is the second smallest value? (a) k (b) o (c) p b Let u = -153 + 153.3. Which is the smallest value? (a) -2/7 (b) -2/11 (c) -0.5 (d) u c Let z be 0 + -1 + 560/50. Let l = -10 + z. Which is the biggest value? (a) -0.1 (b) l (c) 2 c Let t = 0 + -4. Which is the third biggest value? (a) 1/4 (b) 0.1 (c) t c Let x = 0.52 + -0.32. Let h(j) = -3*j - 4. Let g be h(-3). Let l = -5 + 9. What is the second smallest value in l, g, x? l Let x = -38 - -270/7. What is the smallest value in 5, x, -9? -9 Let q = 32 - 31.7. Suppose 4*m + 20 = 0, -5*s = -m - 8 - 2. Let p be 14/4 + -2 - s. What is the second smallest value in p, 1/6, q? q Let k = -3 - -4. Let t = -10.2 - -9. Let y = k + t. What is the second biggest value in y, 0.4, -1/3? y Let n = 23/282 - -4/47. What is the second biggest value in n, 1/3, -0.3? n Let n be ((4 - 5 - 2) + -2)*1. What is the second smallest value in -37, 2, n? n Let j = 0.45 + -0.05. Let i = -7 + 4. What is the third biggest value in j, i, 0.1? i Let z = 4.9 - -0.1. What is the smallest value in 2/7, -0.2, z, 3? -0.2 Let l = -117 + 118. Let r = -9 + 4. What is the smallest value in -4, r, l? r Suppose 0 = -2*o - 3 - 3. Let b be (-20)/(-24)*(-2)/10. Let p = 0.4 - -0.1. What is the third smallest value in o, b, p? p Suppose 0 = 14*v - 16*v - 74. Which is the smallest value? (a) v (b) 2 (c) 3 a Let s = 99 - 94. What is the biggest value in 0.1, 1/3, s, -0.3? s Let g = -12 - -22. Let x = g + -7. What is the second biggest value in x, 4, 0.05? x Suppose -4*u - 3*s - 1 = 2*s, 5*u - 20 = -2*s. Which is the biggest value? (a) 2 (b) 4 (c) u c Let j = 4.994 - 5. Let u = -5.594 + j. Let s = u - -0.6. What is the smallest value in 4, -1/3, s? s Let i = 296/485 - 1/97. Let w = -5 + 0. What is the third smallest value in w, i, 3? 3 Let g(h) = h - 1. Let q be g(-6). Let y be -6 - -5 - 8/q. Let m = -2.9 + -1.1. Which is the biggest value? (a) m (b) y (c) -1/6 b Let g = 12 + -3. Which is the biggest value? (a) 4 (b) g (c) -0.4 b Let c = -95 + 94. What is the second biggest value in c, 4, 1/3? 1/3 Let q = -12 + 12.3. What is the third smallest value in -0.1, q, 6? 6 Let k be 10/(-35) - (-32)/14. Suppose -3 = n - k. Let p(w) = -w - 1. Let i be p(-1). Which is the biggest value? (a) i (b) -1/2 (c) n a Let n = -289 + 285. Let t = 0 + -2. Let p = 2.5 + t. Which is the biggest value? (a) p (b) 0 (c) n a Let q = -50 - -54. What is the smallest value in -0.1, q, -1/3? -1/3 Let r = 0.03 + -0.13. Which is the biggest value? (a) 2/19 (b) 4 (c) r b Let j = 52 + -51.3. Which is the biggest value? (a) j (b) 0 (c) 4 c Let v = -0.32 - 3.68. Which is the third smallest value? (a) v (b) -4/9 (c) -2 (d) -1/14 b Let r = -4.4 + -6.2. Let w = r + 11. What is the second smallest value in 1/6, w, 0.2? 0.2 Let c = 3.3 - 3. Let t = c - 0.1. Let w = 0.2 + -0.4. What is the smallest value in 4, w, t? w Let i = 32 - 35. Which is the fourth biggest value? (a) i (b) -2/9 (c) -4 (d) 3/5 c Suppose -w = 8*s - 7*s - 12, -s + 4*w = -22. Which is the third smallest value? (a) s (b) -0.2 (c) 2/5 (d) -4 c Let k = -2 + 2.1. Let m = -0.03 + -0.03. Let q = 0.26 + m. Which is the second smallest value? (a) q (b) -0.5 (c) k c Let p = 187 - 183. Let w be (2 - 1) + 0 + 0. What is the second smallest value in 1/2, p, w? w Let d = 0.1 - -0.4. Let n be 16/(3 + 1) - (-11)/(-3). Which is the second biggest value? (a) 1 (b) n (c) d c Suppose 3*s + 4*l + 1 = 6, 3*l = -4*s + 9. What is the second biggest value in s, -5/7, -0.4? -0.4 Let h = 26 - 24. What is the second smallest value in h, 1/7, -3/7? 1/7 Let t = -159 - -156. Which is the smallest value? (a) 2/197 (b) 3 (c) t c Let y = -3 - -5. Let o = -2.182 - -0.242. Let r = o + -0.06. Which is the third biggest value? (a) 0 (b) y (c) r c Let y be 9/6*((-56)/(-231))/2. Let d = -3946/17 + 232. What is the third biggest value in d, y, 1/3? d Let o = 0.05 - 0.85. Let m = -1 - o. Which is the second smallest value? (a) m (b) -2 (c) 2 a Suppose -4*n = 3*r - 8*r - 1, 4*r + 3*n = -7. Which is the fourth biggest value? (a) r (b) 2/7 (c) 2 (d) -5 d Let u(s) = s**2 - 6*s + 4. Let h be 74/9 + (-2)/9. Let q(l) = 2*l - 11. Let n be q(h). Let o be u(n). What is the second smallest value in 2/5, o, -0.1? -0.1 Let h = -0.03 - -2.03. Suppose 3*w + 3*j - 7 = 8, 23 = 5*w + 4*j. Which is the third smallest value? (a) 1 (b) h (c) w c Let z = 6 - 1.5. Let j = 0.5 + z. Which is the third biggest value? (a) 0.3 (b) 1 (c) j a Let r(w) = 2*w**2 - w + 1. Let m be r(1). What is the third smallest value in -0.4, m, 3? 3 Let c = -100 - -100.2. What is the smallest value in 3, 1, 0.4, c? c Let s(r) = -4*r**3 - 1. Suppose 5*p + 4*o = 3, -4*o = -p + 1 - 10. Let m be s(p). Suppose 0 = -n + m*n. Which is the smallest value? (a) n (b) 5 (c) -4 c Let w = 199/3 - 65. What is the second smallest value in -3, 5, w? w Suppose -5*t + 8 = -32. Let q be (0 - 5)/(t + -9). Suppose -16 = 4*p - 5*f, -f + q*f = 16. Which is the smallest value? (a) p (b) 4 (c) -2/21 c Let q be 1/(-7) + (-38)/(-70). What is the second smallest value in -1, -3, q? -1 Let n = 15 + -10. Let y = n - 5.1. Let z = y - -0.6. Which is the third biggest value? (a) 5/3 (b) z (c) -0.4 c Let l = 2 + -1.9. Which is the third smallest value? (a) 2/11 (b) l (c) 3 (d) 9 c Let v = -33 - -34. Let p = -5 + 5.5. What is the third biggest value in 4, v, p? p Let s = -30 + 34. What is the second smallest value in s, -11/2, 0.2? 0.2 Let a = -7 - -5. What is the third smallest value in a, 2/5, -10/9? 2/5 Let k = 57 - 52. What is the third smallest value in -0.4, k, -2? k Let j(v) = -v + 8. Let h be j(7). Let d = -1.6 + -0.4. Let s = -2.96 + -0.04. Which is the third biggest value? (a) d (b) s (c) h b Let v = -1 + -2. Let l = 7 + v. Let w = -0.34 + 0.54. Which is the second smallest value? (a) 0.1 (b) w (c) l b Let l = -0.6 + 0.7. Let d = 0.6 + -2.6. What is the biggest value in d, l, -4? l Let c = -0.27 - -11.27. Let i = 8 - c. What is the smallest value in 0.2, 5/2, i? i Let l be ((-1)/1)/(5 - -2). Let x = 236 + -235. Which is the third biggest value? (a) l (b) x (c) -3/2 c Let o = -16 - -13. Let n = 1 - 1.1. Which is the third biggest value? (a) -2/7 (b) n (c) o c Let q = -95 + 97. Which is the second smallest value? (a) q (b) -1/5 (c) 0.2 (d) 9 c Let m = -3.89 + -0.11. Let p = 43 - 42. Which is the second biggest value? (a) p (b) m (c) 5 a Let a = 0.5 + -1.5. Let g = -3 + a. Let d = 0.3 + -0.2. What is the second smallest value in -0.5, g, d? -0.5 Let t = 0.85 + -0.15. Let d = t - 1. Let l = 3 + -3. What is the biggest value in 5, l, d? 5 Let b = -0.2 + -0.2. Let n = -6.7 - -3.5. Let c = n + 3. What is the biggest value in b, 5, c? 5 Let l be (-1)/(-3)*(-6)/(-13). Let z = 1 - 2. Which is the third smallest value? (a) z (b) 2 (c) l b Let d = -2 - -12/5. What is the second biggest value in 0.3, d, -2, 0? 0.3 Suppose -18 + 58 = -2*x. Let l be (-4)/10 + (-3)/x. What is the second smallest value in l, 1/8, -10? l Let q = 10 - 11. Let t(m) = m**3 + 10*m**2 + 4. Let z be t(-10). Which is the second biggest value? (a) q (b) z (c) -2/13 c Suppose -4*l + 3*m = m - 30, l = -3*m + 18. Let g be (-2)/l - 26/(-36). Which is the second biggest value? (a) 0.4 (b) 2/11 (c) g a Let s = 10.4 + -10. Let y = s - -0.1. Which is the third smallest value? (a) 3 (b) 0 (c) y a Suppose 8*a - 6 = -14. Let l = -4/55 + 146/495. What is the third smallest value in -2/5, l, a? l Let w = -2/134707 - 122987483/538828. Let s = -204 + 431. Let u = w + s. What is the second smallest value in 0.4, -1
{ "pile_set_name": "DM Mathematics" }
is positive. n**(-38011/215) Simplify (((l**(-2)/l)/l**(-1)*l*l**(10/7)*(l**13*l)/l)**(-27))**(11/3) assuming l is positive. l**(-9306/7) Simplify (n**(-3)*n*n*n*(n/(n**(-5)/n))/n*(n**(-2/25))**(-45))**(-5/6) assuming n is positive. n**(-8) Simplify ((h**(1/2))**(-4)/((h/h**1*h*h)/h)**39)/(h*h*h**6*h*h**(-6)*h**2*h**(3/4)) assuming h is positive. h**(-187/4) Simplify (c**(-16)/(c*(c/(c/(c*c**22*c)))/c))/((c**(-4/3)*c)/c)**(-2/11) assuming c is positive. c**(-1328/33) Simplify (c**2/c**(-5))/(c/(c**(3/7)/c)*c**(1/3))*(c*c*(c*(c**1*c)/c)/c)**(-12/5)*c**(2/3)*c**(-2/3) assuming c is positive. c**(-221/105) Simplify ((j**(-1/3)/((((j**(1/3)*j)/j)/j)/j))/(j**0/j)**(-33/2))/((j**(1/4)/j)**(-8/5)*(j/j**(-2/9))/(j**4*j)) assuming j is positive. j**(-1133/90) Simplify (n*(n/(n*n/(n*n**7*n)))/n*n*(n/(((n**2/n*n*n)/n)/n)*n*n)/n)**(3/2)*((n/n**(-1)*n)**20)**8 assuming n is positive. n**495 Simplify (b**(-2/7))**(-17/5)/(b/(b*b/b**(-8)*b)*b**(2/25))*((b/(b**(4/3)*b))**(-47))**(-32) assuming b is positive. b**(-1047082/525) Simplify ((w/w**2*w)**(2/29))**5*(w*(w*((w*w**(1/7))/w)/w*w)/w)/(w/(w*w*w/(w/(w/(w/w**(-2/5)))*w*w*w)))*(w**(-2/3))**(-2/43) assuming w is positive. w**(-5536/4515) Simplify ((((((p/(p**(1/4)*p))/p)/p)**34)**3)**(7/9))**(-2/23) assuming p is positive. p**(357/23) Simplify (r**(-2/7)*(r/(r*r*(r**(2/11)*r)/r*r))/r)**(-15)/(r**(-6/5)*(r/(r/r**(2/15)))/r*(r/r**(-9))/(r/(r*r**7)*r)) assuming r is positive. r**(43982/1155) Simplify ((r/(r/r**(-1)))**(-1/28)*r*r**(2/11)*r*r/r**(-3))/((r*r/(r/r**(-1/2)))/((r/((r*r**1)/r)*r*r)/r)*((r/r**(-1)*r)/r)**(2/5)) assuming r is positive. r**(9113/1540) Simplify ((k**3)**(-1/27)/((k/(k/k**(7/2)))/(k/(k*k**16*k))))**(-1/3) assuming k is positive. k**(371/54) Simplify (o/((o*o**(-22)/o)/o))/o*(o*o**(-1/61)*o)/o*(o*o/((o/(o/(o/((o*o/(o**6/o)*o)/o))))/o)*o)**(3/14) assuming o is positive. o**(1463/61) Simplify ((a**(4/3)/(a**(-5/2)*a))/(a*a/(a/(a/(a*a*a**(2/3))))*a)**35)/(a**(-1/3)*a**(-5)*(a/(a*a**(-2/7)*a*a*a*a))**(-44)) assuming a is positive. a**(-2337/14) Simplify (((b/(b/(b*b**(1/4))))/b*b)/b**(-1/4)*b**5/b**4)/(b/b**(-4)*b**(2/11))**(27/4) assuming b is positive. b**(-1429/44) Simplify ((i*i*i**(-39))/i)/i*i**5*i*i*(i/i**20)/(i*i**24) assuming i is positive. i**(-76) Simplify (x**(-2/7)*x*x*x**3)/((x*x*x**(-4)*x)/(x**(1/11)*x))*((x/x**(3/2))/x**1)**(4/11) assuming x is positive. x**(482/77) Simplify (x**3/((x**4*x)/x)*(x*x**(-7)*x)/x**7)/((x**1/x)**4*x*x/x**(-6)*x/(x*x**8)*x*x*x) assuming x is positive. x**(-16) Simplify u**(16/3)/u*u*u**(3/4)*(u*u/(u*u/(u/(u*((u/(u/(u**35/u)))/u)/u))*u))**(-2/69) assuming u is positive. u**(1943/276) Simplify p**(-2/5)/p*p/p**6*p/p**(-2/3)*p**0*(p**(-4/7)/(p*p**(-6)/p*p))/(p**(-1)/p*p)**17 assuming p is positive. p**(1753/105) Simplify (j**14*j*(j*j**(-1/3)/j)/j*j)**(-1/52)*(j*j**(2/7)/j)**(-25/2)*(j/((j/(j**(1/6)/j))/j))/j**(-4/7) assuming j is positive. j**(-81/26) Simplify (v**(-7/2)/v**(-30))/(v**(-37))**(-36) assuming v is positive. v**(-2611/2) Simplify ((i*i**(-2/19)/i*i)/i)/i*i*i**(-1/12)*i*i*i*(i*i**(-2/5))/i**(-3/2)*((i/(i*i/(i/(i**(-1)/i))))**31)**17 assuming i is positive. i**(1207159/1140) Simplify (k**(-1/27)*k**(-8/7)*k*k/k**(-22)*(k/((k**(-7/4)*k*k)/k))/k)**(4/3) assuming k is positive. k**(17819/567) Simplify (((a/(a/(((a/a**(-1/4))/a*a)/a)))**13/(a**1*a)**30)**18)**(-46) assuming a is positive. a**46989 Simplify ((w**0/w)/w**(-6))**34*(w/w**(-2))**(-2/7)*(w*((w**(-1/4)/w)/w)/w)**(-3/19) assuming w is positive. w**(90173/532) Simplify (g*g/(g/(g/g**(2/5))))/(g/g**(-4))*(g**3/g)/g*g*g*g*(g*g**(2/7))/g*(g*g/g**(2/7)*g*g*(g/((g*g**(-1/7))/g*g))/g)**(-11/4) assuming g is positive. g**(-244/35) Simplify ((r/(r/r**0)*r**(-2/3)/r*r*r*r*r*r*(r*r**(-3)*r)/r*r*r/(r**(-2/17)/r))**7)**(1/7) assuming r is positive. r**(227/51) Simplify ((o**(-3/2)/(o*o**16))/((o**(-12/7)*o)/(o/o**12)))**(-40) assuming o is positive. o**(8060/7) Simplify (m*m*m**3*m*m**(-1/2)*m**(1/5)/m**(2/17))/(m/(m**8*m*m)*m**(2/3)*(m*m**(2/9)/m)**46) assuming m is positive. m**(5651/1530) Simplify (((k**(-6)/k)/k)/k**(5/2)*(k**(2/7)*k)/(((k/k**(1/28))/k)/k))**17 assuming k is positive. k**(-3893/28) Simplify ((q**17/q*q)**26*(q**(-2/81))**(-34))**34 assuming q is positive. q**(1219580/81) Simplify ((((h**(1/28)*h*h)/h)/(h**(1/2)*h))/((((h**(-8/9)*h)/h)/h)/(h*h**(-20/3))))**(-37) assuming h is positive. h**(39553/252) Simplify (((r/(r/r**(-9/5))*r)/(r*r/(r*r**(2/5)))*r**(-6/7)/r**(-14))**(-34/7))**(-23) assuming r is positive. r**(321402/245) Simplify ((x/x**(2/9))**(-33))**(-28)/((x**7/(x*x/(x/(x/x**(-2/9)))*x))/(x*x**(-2/5)*x*x/(x/((x*x/(x*x**(2/5))*x)/x*x)))) assuming x is positive. x**(32314/45) Simplify ((q/q**2*q**3)/((q*q**(-4))/(((q**5*q)/q)/q)))/((q**1/q**4)/(q*q**0/q*q*((q**6*q)/q)/q)) assuming q is positive. q**18 Simplify ((k/((k*k*k*k/((k**(-1/3)/k)/k)*k)/k))**(-5/8))**(-28)*(k**(-1)*k*k)**(-36)/(k**(1/2)*k)**(1/29) assuming k is positive. k**(-22513/174) Simplify (w**(-6/13)*(w**(-5)/w)/w*w*w/w**(-1)*w*w**(-5/3))**3 assuming w is positive. w**(-200/13) Simplify ((k**(3/4))**11*(k**(-2/3)*k)**40)**(-1/34) assuming k is positive. k**(-259/408) Simplify ((f**(-1/7)/f**(3/7))/((f*f*f**(-3/10)/f*f)/f**(-20)))**(1/7) assuming f is positive. f**(-1559/490) Simplify ((k**(2/9)/((k**(-10/3)*k)/k))/((k**(-1/15)*k*k)/(k/(k/(k**(-3/2)*k)))))**(-21/5) assuming k is positive. k**(-707/150) Simplify ((q*q**(-4))/(q**(-39)/q)*q*q*q**(2/29)*q**17)**3 assuming q is positive. q**(4878/29) Simplify ((r**(-16/5)/(r**(1/3)/r))/((r**(16/3)/r)/(r*r**13)))**(-28) assuming r is positive. r**(-2996/15) Simplify ((v**(1/4)*(v/(v**(3/4)*v))/v)/(v**(-2/3))**(4/31))/((v**(-2/5))**(-1/54))**(-2/21) assuming v is positive. v**(-248411/175770) Simplify ((p/(p*p/p**(-1/4))*p)**(-3/53)/(p/(p**(3/7)/p)*p**(5/3)))**42 assuming p is positive. p**(-14353/106) Simplify ((((f*f**4*f)/(f/f**(2/3)))/((f/(f*f*f**5*f))/(((f/f**9)/f)/f)))**(1/20))**9 assuming f is positive. f**(6/5) Simplify ((p**(-16)/(p/((p/p**10)/p)))/(p*p/(p**(5/3)*p)*p/p**(-2/27)))**(-44) assuming p is positive. p**(32560/27) Simplify ((n**(5/4)*n/(n/(n*n**(-6)/n))*n**(-6/11)/n*n*n*n**(-2/17))**(-4/17))**45 assuming n is positive. n**(148545/3179) Simplify (x**(-4/3)/x**(-1)*(x*x/(x/(x/(x*x**(-2/5))))*x*x)**10)/((x**0)**(-1/11)/(x**(-1)*x**(-2))) assuming x is positive. x**(92/3) Simplify (t**(-10)*t/(t*t*t/((t/(t*t**(-2/5)*t))/t)*t))**(-3/4)*t**(-8)*t/(t**(-4)/t)*((t**(2/7)/t)/t)**(-19) assuming t is positive. t**(5813/140) Simplify (g**(-1)/(g**(5/2)*g))**41*g**(-7)*g*g*g*g**(-2/15)*g*g*g*(g**(-1/2)*g)**42 assuming g is positive. g**(-4939/30) Simplify (i**(-2/3)*i**(3/7))**14/(i**(-2/19)/(i/(i*i*i/(i/(i/((i/(i*i**0))/i))*i)*i)))**(-4/25) assuming i is positive. i**(-818/285) Simplify (o**36)**(-1/11)/((o**39*o*o)/o**(-27)) assuming o is positive. o**(-784/11) Simplify ((p/(p/(p/p**(-1))))**(1/21)/(((p/(p**0*p))/p)/(p/p**(-6)*p)))/((p/(p*p**(2/9))*p**(6/11)/p)/(p*p**(1/4))**11) assuming p is positive. p**(65203/2772) Simplify d/(d**(-2/9)/d)*d*d**(-3)*(d/(d*d**2*d))/d*d*d*d*d**(3/4)*d*(((d*d*d/d**(-8))/d*d)/d)/(d/((d/d**(-1/7))/d))*(d/d**0)**(1/2) assuming d is positive. d**(2675/252) Simplify (c**15/(c*c**8))/(c**28/(c/((c**(-14)/c)/c))) assuming c is positive. c**(-5) Simplify ((((o/(o/o**(-5/2)))/o*o/(o*o**(-3/4)))/((o/o**(6/11))/o*o*o**(-1/6)*o))**14)**(-12) assuming o is positive. o**(7462/11) Simplify (i**(-7)*i/i**(1/3)*i**5/(i/i**(-2)))/((i/i**(-1/7))/((i/(i*i*i**(-6)*i))/i*i)*i**(2/17)*i**(-3/5)) assuming i is positive. i**(-1774/1785) Simplify ((i**(2/3)/i)/((((i*i**(1/6))/i)/i)/i))**(-2/45)/((i/(i*i*i**(1/7)*i)*i**(-9))/((i**(1/4)/i)/i)**(7/12)) assuming i is positive. i**(5631/560) Simplify (((w/(w*w**(-2/47)))/w**1)/(w**(-4)/(w*w**(1/13))))**(-1/3) assuming w is positive. w**(-839/611) Simplify ((v**(-2))**(12/11)*v**(-5)*v*v**(-5))/(((((v**(-1/3)/v*v)/v)/v)/v)**(-49)/((v**6/v)/v*v/(v/(v/v**(-2/7))))) assuming v is positive. v**(-39092/231) Simplify ((w/w**(-4))/(w*w**(-3/7)))**(-21)/((w**(-1/5))**(2/23))**(-18) assuming w is positive. w**(-10731/115) Simplify (y**(-1/2)/y**(-4))/(y*y**(-4)/y*y*y*y**(-5)*y)*((y/(y**4/y))/(y**(-3/7)/y))/((y/(y**(-8)/y))/y**(-2)) assuming y is positive. y**(-43/14) Simplify ((w*w/((w**(2/11)*w*w)/w))/(w**(
{ "pile_set_name": "DM Mathematics" }
(2*g**2 - g + g)*(-3 + 5 - 8)*(1 - 5 + 2*g - g). -12*g**3 + 48*g**2 Expand 6*x + 58 - 57 - 30*x - x - 2*x + 4*x - 4*x + 5*x + x + x + 3 - 3 + (x + 2*x - x)*(0 + 3 - 1). -16*x + 1 Expand (6*o**2 - 3*o**2 - 4*o**2)*(7*o - 9*o**2 - 7*o) + 0*o**4 - 2*o**4 + 0*o**4. 7*o**4 Expand -68*m - 2*m**2 - 3*m**3 + 127*m + 1 - 61*m + (0*m + 2*m**2 + 0*m)*(2*m - 2*m - 2*m). -7*m**3 - 2*m**2 - 2*m + 1 Expand (j + j + 0*j)*(7 + 20*j**2 - 21*j**2 + 21). -2*j**3 + 56*j Expand (-2 + 1 + 3)*(-4 + 3 + 3)*(-22*a**2 + 2*a**5 + 22*a**2 - 10*a**3). 8*a**5 - 40*a**3 Expand ((4*r + 2*r**2 - 4*r)*(4 - 2*r - 4) - 2*r + 2*r + 3*r**3)*(-3 - 4 + 3)*(0*r - 2*r + 0*r). -8*r**4 Expand (-7*z - z**2 + 7*z)*(16 - 16 + 11*z). -11*z**3 Expand (10 - 3*n**2 - 15 + 4)*(7 - 7 + n). -3*n**3 - n Expand (13*k - 2 - 4*k + 0)*(k + 2*k - 4*k). -9*k**2 + 2*k Expand d**3 + d**3 + 0*d**3 + (0*d - 4*d + 2*d)*(0*d**2 + 4*d**2 - 3*d**2) + (d**2 - 2 + 2)*(4*d + d - 4*d). d**3 Expand (-v - 2*v + 6*v)*(4 - 4 + v + 1 - 1 - v + (-2 + 2*v + 2)*(0 - 3 + 2) + 3*v - 3*v + 5*v). 9*v**2 Expand (3*o - 1 + 2 - 5)*(4*o**4 - o**4 + 0*o**4). 9*o**5 - 12*o**4 Expand (0*r + r**2 + 0*r)*(4 - 7 + 1)*(0 + r**2 - 3*r**2 + 1). 4*r**4 - 2*r**2 Expand 0*v**2 - 4*v**3 - 2*v + 4*v + v**2 + (v**2 + 0 + 0)*(2*v + 3*v - 4*v). -3*v**3 + v**2 + 2*v Expand (-8*f + 13 - 13)*((0 + 0 + 2)*(2 - 5 + 1) + 4 + 1 - 3). 16*f Expand (1 + 0 - 3)*(-4*g - g + 8*g)*(0*g - g + 2*g). -6*g**2 Expand -8*q**5 + q**5 - 7*q**5 + 2*q**5 + q**5 - 4*q**5 + (-2*q**5 - 3 + 3)*(4 + 1 - 4). -17*q**5 Expand (8 - 8 + 5*c)*(3*c**2 + 3*c - 3*c). 15*c**3 Expand (-4*q + 3*q + 0*q)*(-3 - 1 - 1). 5*q Expand (1 - 1 - f)*(5*f**2 + 0*f**2 - 4*f**2) - 1 + 2*f**3 + 1 + 1123*f + 3*f**3 - 1123*f - 18*f**2. 4*f**3 - 18*f**2 Expand 4 - 4 - 3*j**5 + (2 - 3 + 4)*(6*j - 2*j - 3*j)*(2*j**4 - 7*j**4 + 3*j**4). -9*j**5 Expand (5*h - 3*h - 3*h)*((-2 + 1 + 4)*(-2 + 0 + 0) - 2 - 1 + 7). 2*h Expand (1 - 1 - d)*(-3 - 2 - 1) + 0*d + 2*d + 0*d. 8*d Expand -y**3 + y**4 + y**3 + (-2 - 2*y + 2)*(-4*y**3 - 3*y**3 + y**3). 13*y**4 Expand -i**2 - 2*i**2 - 3*i**2 + (-i - 4*i + 2*i)*(4*i - i - 4*i). -3*i**2 Expand -h - 2*h - 2*h + (2*h + 2*h - 2*h)*(0 + 0 - 2). -9*h Expand (-u - 9 + 9)*(3 - 2 - 3 + (4 - 3 + 0)*(2 - 4 - 1)) + 3 - u - 3. 4*u Expand (2 - f - 2)*(0*f - f + 3*f)*(-2*f + 2*f - f**2 + 6). 2*f**4 - 12*f**2 Expand -14*r + 14*r**2 + 14*r + (3 - 2*r**2 - 3)*(-5 + 4 + 3) + 0*r**2 + 3*r**2 - 2*r**2 + (2*r + r - 2*r)*(3 - 2*r - 3). 9*r**2 Expand 0*u**2 - 2*u**2 + 0*u**2 + (2*u - 1 + 1)*(-1 - 2*u + 2 + 1). -6*u**2 + 4*u Expand (-2 + 1 + 3)*(0*d**4 + d**4 + 0*d**4) + (4*d - 2*d - 4*d)*(2*d**3 - 7*d**3 + 3*d**3) - 2*d**4 - 4*d**3 + 4*d**3. 4*d**4 Expand (5 + 29*p + 4 - 28*p)*(0*p - p + 3*p + (2 + 0 - 3)*(p - 2 + 2)). p**2 + 9*p Expand (-2 + 5 - 4)*(-2*r + 5*r - 5*r)*(5 + 2 - 6)*(0 - 1 - 3). -8*r Expand (o + o + o)*(-6*o**3 + 0 + 5*o**3 + 2). -3*o**4 + 6*o Expand (-l**4 + l**4 + l**4)*(2 - 3 + 0) + l**4 - 4*l**4 + 2*l**4 + (-4*l + 5*l + l)*((-2*l + 2*l + l)*(2*l + l**2 - 2*l) - 2*l**3 + 0*l + 0*l). -4*l**4 Expand (4 - 3 + 0*j - j)*(-2 + 6 - 2) + 13*j + 7*j - 6*j. 12*j + 2 Expand ((4 - 4 + 25*l)*(3 + 2 - 4) - l + 3 - 3)*(-2 + 2 - l**2). -24*l**3 Expand -3*y**4 - 3*y**4 + 4*y**4 + 3*y**4 - y**4 - 5*y**4 + (2*y**3 + 2*y - 2*y)*(1 - y - 1). -7*y**4 Expand 0*m**2 + 4*m**3 + 0*m**2 + (-3*m**2 + 3*m**2 + 2*m**2)*(2*m + 3*m - 3*m) - 45*m + 4*m**3 - 1 + 45*m. 12*m**3 - 1 Expand (-2 - 3 + 3)*(-6*w**4 + w**4 + 2*w**4). 6*w**4 Expand (f**2 - 6*f**2 - 4*f**2)*(3 + 0 - 4)*(f - 3*f + 4*f). 18*f**3 Expand (-3*m**2 + 2*m**2 + 0*m**2)*(1 - 6 + m**2 - 1). -m**4 + 6*m**2 Expand 0*d**4 + 4*d**4 - d**4 + (-2*d**3 + d**3 + 2*d**3)*(1 - 1 - 2*d) - 2*d**4 + 5*d**4 + 0*d**4 + (d**3 + 4*d - 4*d)*(-2 + d + 2). 5*d**4 Expand (16 + 12 - 4)*(-2 + 2 + 2)*(-3*b**5 - 2*b**5 + 3*b**5). -96*b**5 Expand (-3 + 3 - 2*p)*(3 - 3 + p)*(4*p**3 - 5*p**3 + 3*p**3 + (p**2 - p**2 - p**3)*(4 - 4 - 2) - 3*p**3 + 3*p**3 + p**3). -10*p**5 Expand -18 - 8*x**2 + 18 + x + (-3 + 3 + x)*(x - 3*x + 3*x) + 0*x**2 - x**2 - x**2 - x**2 + x**2 - x**2. -10*x**2 + x Expand (2*q - 3*q + 2*q)*(q**4 - q**4 - 2*q**4) + 4*q**2 - 4*q**2 - q**5 + (4 - 2 + 0)*(30*q**3 - 13*q**5 - 30*q**3). -29*q**5 Expand (-1 - k + 1)*((0 - 4 + 3)*(3 - 1 - 1) - 1 - 2 + 0 + 1 + 1 + 0). 2*k Expand -37*x - 95*x + 28*x - 2 + 2 - x - 4 + 4 + x + (x - x - x)*(3 + 0 - 4) + 2*x - 2 + 2 + 6*x - x - 3*x - 3*x + 2*x - x. -101*x Expand (1 - 2 + 2)*(-1 + 1 + 2*a + 4*a - 2*a - a + 0*a + a + 0*a + (-3*a + 4*a + a)*(0 + 2 - 1)). 6*a Expand (0 + 0 - g**3)*(-12 + 6*g + 12)*(1 + 0 + 0). -6*g**4 Expand 2*q**4 + 0*q**4 - q**4 + (q**3 + 0*q**3 - 2*q**3)*(-q + 0*q - q) - 1 + 2*q**4 + 1 + 33*q**4 - 65*q**4 - 56*q**4. -83*q**4 Expand 1 - 1 + n + (-n + 4*n - 2*n)*(4 - 2 + 2)*(-1 + 0 - 1). -7*n Expand (4*l**3 - l**3 - l**3)*(0*l - 4*l + 2*l) + 4*l**2 + 7*l**2 - 7*l**4 + 3*l**4. -8*l**4 + 11*l**2 Expand ((-l - 2*l**3 + l)*(2 - 4 + 1) - 3*l**3 - 4*l**2 + 4*l**2)*(l + l - l). -l**4 Expand (2 - 4 + 1)*(-4*i + i + 0*i)*(-8*i**2 + 5*i**2 - 3*i**2). -18*i**3 Expand (0*w + 2*w**3 + 0*w)*(-2*w**2 + 3*w**2 - 2*w**2 + (0 + 2*w + 0)*(3 - 3 + 4*w)). 14*w**5 Expand -3*i - 29 + 29 + (4 - 4 + 2)*(0 - i + 0) + (3 - 2 + 1)*(2*i + 0*i + 0*i). -i Expand (-l**2 + 3*l**2 + 0*l**2)*(-2 + 18 - 9 - l). -2*l**3 + 14*l**2 Expand (1 - 2 + 0)*(3 - 4 + 4)*(h**4 - 3*h**4 + 3*h**4) - 3*h**4 + 7*h**4 - 2*h**4. -h**4 Expand 2*k**5 + 3*k**5 - 2*k**5 + (-3*k**2 - 3*k**2 + 5*k**2)*(k**3 - 2*k**3 + 2*k**3) - k**5 + 2*k**5 + k**5 - k - 2*k**5 + k. 2*k**5 Expand (-13*o + 19*o - 17 - 5*o)*(-o**2 + 0*o + 0*o). -o**3 + 17*o**2 Expand 4*r**3 + r**3 - 4*r**3 + (5*r**3 - 3*r**3 - 4*r**3)*(2 - 1 - 3) - 7*r**3 + 2*r**3 + 2*r**3. 2*r**3 Expand (-3*i + 5*i - 3*i)*(-3*i - 4*i + 5*i) - 9*i**2 - 4*i**2 - i**2. -12*i**2 Expand (b + b + 0*b)*(0*b**3 - b**3 + 0*b**3)*(-b + 5*b - b). -6*b**5 Expand (0 - 1 - 2)*(-2 + 2 - a) - a + 4*a - a. 5*a Expand (10*c**3 + 8*c**4 - 10*c**3)*(-6 + 4*c + 6). 32*c**5 Expand -5*d + d**3 + 5*d + (0 + 1 - 3)*(-d**3 + 4*d**3 - 4*d**3) + 3*d**3 - 3*d**3 - 2*d**3. d**3 Expand -1 + b + 1 - b + 4*b - 2*b + (0 - 5 + 4)*(-2 + 2 + b) - 4*b + 0*b + 2*b. -b Expand (-c**4 - 2 - 9*c**2 - 1 + 13*c**2)*(-3*c + 4*c + c). -2*c**5 + 8*c**3 - 6*c Expand (-76 + 76 - 12*y)*(-1 + 1 + y). -12*y**2 Expand 3 - 3 + f**5 + (-2*f**2 - 2*f**2 + 2*f**2)*(-4*f**3 + f**3 + f**3) + 3*f**5 - 2*f - 6*f - 5*f**3 + 3*f**3. 8*f**5 - 2*f**3 - 8*f Expand (-l**3 + l**3 + 2*l**4 + 4*l**4 + l**4 - 2*l**4 + (-4*l + 0*l + 2*l)*(3*l**3 + l**2 - l**2) + 3*l**4 + l**4 - 2*l**4)*(0*l - 2*l + 0*l). -2*l**5 Expand (-3 + 3 - 2*s)*((2 + 1 - 1)*(-38 + 38 + 12*s) - 2*s + 2 - 2). -44*s**2 Expand -3 + 2*k**2 + 3 + (4*k - 2 + 9*k - 8*k)*(-3*k + 2*k - 2*k). -13*k**2 + 6*k Expand -2*v**4 + 0*v**3 + 0*v**3 + (-2*v - 4 + 4)*(6*v**3 - 2*v**3 - v**3). -8*v**4 Expand -5*g**5 + 0*g + 3*g**5 - 3*g + (g**2 + 0 + 0)*(3*g**2 - g**3 - 3*g**2). -3*g**5 - 3*g Expand (17 - 17 + 10*t**2)*(-t**2 - 4*t**2 + 6*t**2 - 3 + 3 + t**2 + 0*t - 2*t**2 + 0*t + (2*t**2 + 3*t**2 - 3*t**2)*(0 - 1 + 3)). 40*t**4 Expand 2*y**2 - 1 + 1 - 2*y**2 + 5*y - 5*y + (0*y + y - 3*y)*(-2*y + 4*y + 0*y) + 3 - 3 + y**2 + 10 - y**2 - 14*y + 16 - 28. -4*y**2 - 14*y - 2 Expand 2*s**5 + 3*s**5 - 6*s**5 + (-9*s**2 + 23*s**2 + 2*s**2)*(-s**3 + 2*s**3 - 2*s**3). -17*s**5 Expand (-2*s + s + 4*s)*(-1 - 1 + 4)*(-1 - 5 + 1)*(-2 - 2 + 5). -30*s Expand (-8*v - 8*v - 2*v**2 + 5*v)*(0*v + 2*v - 5*v + v - 4*v + 4*v + (5 - 2 - 2)*(-3*v + v + 3*v)). 2*v**3 + 11*v**2 Expand 2*r - r - 3*r + (-2 + 1 + 3)*(3*r + 0*r - 2*r) - r - 2*r - r. -4*r Expand (4 + x - 4)*(-10 - 4 - 7). -21*x Expand (-4*t + t + 2*t)*(t - 15 + 7 + 5). -t**2 + 3*t Expand (-4*m + 2*m + 4*m)*(1 - 3 + 3)*(-2 + 0 + 4)*(37 - 37 - 7*m). -28*m**2 Expand (4 - 2 - 1)*(-3*f**3 - 3*f**3 + 2*f**3) + 0*f**3 - f**3 + 0*f**3. -5*f**3 Expand (f - 5*f + 0*f)*(2 - 2 - 3 + (0 - 3 + 4)*(-4 + 0 + 3) - 3 + 0 + 2 + 2 - 5 + 2)*(-3 + 4 - 2). -24*f Expand s**4 - 3*s**2 + 3*s**2 + (2*s + s - 4*s)*(4*s**3 - 3*s**3 + s**3) - 2*s**4 - s**4 + 5*s**4 + 4*s**4 + 2*s - 4*s**4 + 2*s**4 - 2*s**4 - s**3 + s**3. s**4 + 2*s Expand (-2*o - o + 2*o)*(-2*o**2 + 0*o**2 + o**2) - 3*o**3 + 0*o**3 - 3*o**3. -5*o**3 Expand (-a**4 - 3*a**4 - 6 + 2)*(-3*a - 5 + 5). 12*a**5 + 12*a Expand (u**3 + 0*u + 0*u + (0*u**2 + 0*u**2 - 2*u**
{ "pile_set_name": "DM Mathematics" }
588481.8881 + -353558517. Let i = 29833.9 - u. Let r = 131 + i. Round r to two decimal places. 0.01 Let r = 1912288.799573 + 4.200427. Let o = -1912374.00073 + r. Let b = o + 81. Round b to 4 dps. -0.0007 Let s = -259703410.3999862 + 259703452. Let c = s + -41.6. Round c to 5 decimal places. 0.00001 Let c = -0.056132 + 5.159032. Round c to 1 dp. 5.1 Let j be (-1 - -160)/3*42/(-13 - 1). What is j rounded to the nearest one hundred? -200 Let r = 496 + -388. Let u = -107.35 + r. Round u to two dps. 0.65 Let z = -12.4 + 54. Let n = z - 46. Let b = n - -4.39982. Round b to four decimal places. -0.0002 Let c be -8 + 288383*(-14 - 0). Let z = -1897370 - c. What is z rounded to the nearest 1000000? 2000000 Suppose 194701 = 7*f - 767659. Round f to the nearest 10000. 140000 Let v = 889.67 - 848. Round v to the nearest ten. 40 Let o = 0.0894 - -368.9106. Let h = 369.000001183 - o. What is h rounded to 7 decimal places? 0.0000012 Let a = 2.2191 - -31.5739. Let u = 0.59 - 34.59. Let r = a + u. Round r to two decimal places. -0.21 Let d = -68.8 + 68.7287. Let h = d - -0.071299353. What is h rounded to 6 decimal places? -0.000001 Let o = -646.57 + 648. Round o to two dps. 1.43 Let u = 1396 - 828. Suppose 840 = i - u. Suppose 0 = 7*x + 4*x - i. Round x to the nearest 10. 130 Let l = -1.69 - -33.69. Let g = 31.61 - l. What is g rounded to zero dps? 0 Suppose -5*b + i + 167 + 152 = 0, b - 61 = 3*i. Let p(d) = -10*d + 9*d**2 + b*d**3 - 1 + 1 - 87*d**3. Let k be p(-10). Round k to the nearest 1000. 24000 Let r = 562 - 520.024. Let l = r + -42. Let s = l + 0.0239981. Round s to 6 dps. -0.000002 Let r = -0.336 - -0.32. Let g = r - 27.984. Let w = g - -28.000236. What is w rounded to five decimal places? 0.00024 Let k = 0.076535 + 175.788465. Let x = -180.8 + k. Let l = x + 5. Round l to 2 decimal places. 0.07 Let s = -16.2 + 93.2. Let f = s + -73.2. Let t = f + -3.799565. Round t to four decimal places. 0.0004 Let z = -135 + 59. Let o = z - -76.26. Let x = 1.2 - o. What is x rounded to one dp? 0.9 Let g = -94.9 + 6.9. Let k = g + 88.00332. What is k rounded to 3 dps? 0.003 Let f = -535363125 - -535363157.7999841. Let q = 32.8 - f. What is q rounded to six decimal places? 0.000016 Suppose 0 = n - 5*w + 217582, w - 870345 = 4*n - 2*w. Let v = -371587 - n. Round v to the nearest 10000. -150000 Let y = 912909 + -914268.479. Let g = 1369.27809 + y. Let z = g + -9.8. What is z rounded to four decimal places? -0.0009 Let p be (-47520)/(-120)*((-2)/3 + -1). Let t be (-2)/(-15) - 3636599912/p. What is t rounded to the nearest one million? 6000000 Let f = -41958.6 - -34254. Round f to the nearest ten. -7700 Let p = 3069.6638 - 3071.8. Round p to one dp. -2.1 Let v be 156/416 - (-65814)/(-16). Let p be -5 - v/18*2. What is p rounded to the nearest 1000? 0 Suppose f + 2*f - 226449 = c, 4*f + 1132188 = -5*c. Round c to the nearest ten thousand. -230000 Let d = 0.0125 + -215.0125. Let k = d - -214.999088. Round k to five decimal places. -0.00091 Let i = -14.1 + 1085.1. Let u = 1071.01259 - i. Round u to 4 decimal places. 0.0126 Let d = -27.2 + 26. Let f = -4.8 + d. Let j = f + 5.9947. Round j to three dps. -0.005 Suppose 563839 = -3*j + 2*s - 469491, 0 = -4*j + 3*s - 1377775. What is j rounded to the nearest one hundred thousand? -300000 Let d = 49.9983 - 1.3003. What is d rounded to the nearest integer? 49 Let c = -6373 - -47733. Suppose 284*m - 306*m = -c. Round m to the nearest 1000. 2000 Suppose 3*f + t + 76293915 + 205706081 = 0, 0 = t - 4. Round f to the nearest 1000000. -94000000 Let u = -1355.492 + 1435.6. Let d = 0.908 - u. What is d rounded to the nearest ten? -80 Let h(l) = 1. Let d(y) be the second derivative of -161111*y**4/12 + y**2 - 16*y. Let w(x) = -d(x) + 6*h(x). Let r be w(6). Round r to the nearest 1000000. 6000000 Suppose 0 = -2*g - 5*r + 26515, 410*g - 408*g + r - 26535 = 0. What is g rounded to the nearest one thousand? 13000 Let a(g) be the third derivative of -2525*g**4 - 77*g**2. Let n be a(10). What is n rounded to the nearest 10000? -610000 Let f = -4802 + 4802.08626. Let w = 0.0687 - f. What is w rounded to three dps? -0.018 Let g = 22150 - 24854.8. What is g rounded to the nearest ten? -2700 Let d(p) = -p**3 + 10*p**2 - 13*p - 21. Let w be d(13). Let y = 3307 + w. What is y rounded to the nearest 100? 2600 Let c(y) = -2*y + 3. Let x(v) = -5*v - 8 + 0*v + 15. Let u(l) = 9*c(l) - 4*x(l). Let z be u(-16). What is z rounded to the nearest 10? -30 Let y = 11.874 - 11.940774. Let u = y - -0.067. What is u rounded to 5 dps? 0.00023 Let t = 36202.79679 - 36203. What is t rounded to 3 dps? -0.203 Let s = 7.6 - 7.467. Let o = 24214376.86700071 + -24214377. Let p = o + s. Round p to 7 decimal places. 0.0000007 Suppose 157*f - 336800 = 167*f. Round f to the nearest ten thousand. -30000 Suppose 21*v - 580 = v. Suppose -16*b + v = -19. Let i be b*85/(-1)*(-32)/12. Round i to the nearest 100. 700 Let k = 9.09851 + -1.99686. Let m = k + -7.1. What is m rounded to four decimal places? 0.0017 Let j = -509067331974.999999589 - -509067331519. Let a = j - -456. Round a to 7 dps. 0.0000004 Let t = -5992 - -5088.3. What is t rounded to the nearest ten? -900 Let w = -0.713 + 578.713. Let p = w + -577.9999775. Round p to six dps. 0.000023 Let c be 4/8*(-24)/(1 + 3). Let l be -255000*-44*c/(-18). What is l rounded to the nearest 100000? 1900000 Let g be -1508 - 1 - -4 - (-12)/12. Let n = -2705 - g. What is n rounded to the nearest 100? -1200 Let o = -573.6 + 9.6. Let j = -564.00000518 - o. What is j rounded to six decimal places? -0.000005 Suppose 339*g = 295*g - 168036. Round g to the nearest one thousand. -4000 Let r = 788.4 + -788.3899425. What is r rounded to three dps? 0.01 Let d = 7643.72 + -7362. Round d to the nearest 10. 280 Suppose c - 2*l + 3859 + 5597 = 0, 0 = 4*c + 2*l + 37854. What is c rounded to the nearest 100? -9500 Suppose -2*g = -4*k - 6*g - 8, -5*g = 4*k + 13. Suppose k*f - 62591766 = 112008234. What is f rounded to the nearest 1000000? 58000000 Let d = -550 - -551.384. Let s = -1.39221 + d. Round s to three dps. -0.008 Let q = -41.841 - 0.159. Let r = q - -7.3. Round r to zero dps. -35 Let j = -64 + 89. Suppose 2*s = 4*g + 7*s + j, -s - 5 = -5*g. Suppose g*l + 6*l = 6720. Round l to the nearest one hundred. 1100 Let n = -344.1398028148 - 1.8601993052. Let a = n - -346. What is a rounded to 6 decimal places? -0.000002 Suppose 27*p - 25*p - s + 738 = 0, 2*s = -2*p - 738. What is p rounded to the nearest one thousand? 0 Suppose 2*b - 7938373 = 5981621. Let j be (b + 5 + -3 - -2) + -1. Round j to the nearest one million. 7000000 Let l be 12 - 2 - (12 - 8). Suppose -u + 2*c - l*c = 47692, 3*u - 3*c + 143106 = 0. What is u rounded to the nearest 10000? -50000 Let c = 0.329 + -0.5656. Let l = -0.23656699 - c. Round l to 6 decimal places. 0.000033 Let g = 14.73 + -14.7. Let s = 2.6 - 2.588. Let p = g - s. Round p to two decimal places. 0.02 Let i = 752165.883751839 + -752165.93. Let x = -35.046238661 - i. Let g = x - -35. Round g to six decimal places. 0.00001 Suppose -164*w + 519423495 + 359717888 - 54221383 = 0. What is w rounded to the nearest 100000? 5000000 Let g(t) = 1030996*t + 23. Let h be g(5). Suppose -5*q + 3*o + h = 0, -o + 0*o - 5155001 = -5*q. What is q rounded to the nearest 100000? 1000000 Let w be 30/9*(-72)/(-1). Let o be 4 + 0 - 1/1. Suppose 3*t + w - 14 = 5*k, 2*k - o*t = 94. What is k rounded to the nearest ten? 40 Let l = 7328 + -7327.3037. Round l to one dp. 0.7 Let r = 1 + -1. Suppose 4*q = 5*h - 9*h - 8, h = 5*q - 2. Suppose -5*m + q*m - 5050 = r. What is m rounded to the nearest 100? -1000 Suppose -2*c = -11*c + c. Suppose 4*m - 34012 = 5*v, -4*m + c*m + 12 = 0. Round v to the nearest ten thousand. -10000 Let m = -23348.286 - 50.714. Let o = -23499.885 - m. Let s = -101 - o. What is s rounded to two dps? -0.12 Let i(x) = 2*x**2 - 4*x - 24. Let y be i(6). Suppose 22*h - y*h + 56200000 = 0. Round h to the nearest 1000000. 28000000 Let y = 17517 + -17516.01245. Round y to one decimal place. 1 Let c = 53.26 + -2.26. Let o = -50.9999375 + c. What is o rounded to five dps? 0.00006 Let r(l) = l**3 - 9*l**2 + 21*l - 9. Let g be r(6). Suppose 547200 = -47*j + g*j. What is j rounded to the nearest one hundred? -14400 Let a = -10068591504 +
{ "pile_set_name": "DM Mathematics" }
/((-6)/4). What is the highest common divisor of j and d? 4 Let y = -44 - -180. Let l(b) = -3*b - 6. Let p(a) = 2*a + 3. Let g(j) = -2*l(j) - 5*p(j). Let q be g(-5). What is the greatest common divisor of q and y? 17 Let k be (2/(-3))/(2/(-27)). Suppose 5*a + 2*z - 7 = 0, -a + 4 = -5*z + 8. What is the greatest common factor of a and k? 1 Let p(t) = -t**3 - 16*t**2 + 17*t + 12. Let o be p(-17). Calculate the highest common divisor of 16 and o. 4 Let w = -36 - -124. Suppose 4*a - 6 = 4*d - 22, -12 = -3*a. Calculate the highest common factor of d and w. 8 Let y = 6 + 0. Let v be (1/(-3) + 1)*y. Suppose -w - v*w - 105 = -2*q, 4*w + 57 = q. What is the highest common factor of q and 18? 9 Suppose -3*m + 42 = 3*s, -2*m = -2*s - 12 - 20. Calculate the greatest common divisor of 5 and m. 5 Let u be (-403)/(-5) + (-2)/(-5). Suppose -t - 2 + 1 = 0, -2*t - 18 = -2*k. Let p(f) = f + 1. Let s be p(k). What is the highest common divisor of s and u? 9 Let g = 85 + -81. Calculate the highest common factor of 16 and g. 4 Suppose -560 = -0*t - 5*t. Let u be ((-8)/5)/(4/(-10)). Suppose -u*i = -5*z + 3*z - 66, 4*i - 59 = -5*z. What is the greatest common factor of t and i? 16 Let d be 3 - -2*(-2)/(-4). Suppose -4*b = -b - 96. Calculate the highest common factor of b and d. 4 Suppose 6 = -3*a, -5*k - 3*a - a + 262 = 0. Calculate the greatest common factor of 6 and k. 6 Let m(q) = -10*q - 3. Let r be m(-2). Let j = -5 + r. Calculate the greatest common factor of j and 36. 12 Suppose 5*a + 181 = -84. Let i be a/(-2) + (-14)/28. Calculate the greatest common divisor of 234 and i. 26 Let y = 50 - 28. Suppose 5 = f + 3. Let z be (-1)/f + 134/4. Calculate the greatest common divisor of z and y. 11 Let u be 1*((-4)/4 + 2). What is the greatest common divisor of u and 1? 1 Let q be 1*(152 - (2 - 2)). Suppose 3*a - q - 367 = 0. Let b = a + -121. What is the greatest common divisor of 13 and b? 13 Let k = -6 + 13. Let s(g) = -g**2 + 7*g + 1. Let f be s(6). Suppose 2*c - c = f. Calculate the greatest common divisor of k and c. 7 Suppose -5*f - 4 = 1. Let u(k) = -19*k - 1. Let m be u(f). Let s = -7 + m. What is the highest common factor of 33 and s? 11 Let m be ((-2)/5)/((-6)/150). Let q be (72/(-15))/((-3)/m). What is the greatest common divisor of 2 and q? 2 Suppose 5*x = 3*x + 120. Suppose x = a + 4*a. What is the greatest common divisor of 48 and a? 12 Let j be 2/9 - 14/(-18). Suppose 7 = 3*a + j. Suppose -a*b - 2*b + 288 = 0. Calculate the highest common divisor of b and 18. 18 Suppose 1 = 5*n + 11, 0 = -4*l - 4*n + 16. Let a = 196 + -130. What is the greatest common divisor of a and l? 6 Let w(i) = 13*i - 5. Let s be w(4). Suppose -4*f - 11 + s = 0. What is the highest common factor of 63 and f? 9 Let w(k) = 11*k - 1. Suppose 0 = -2*y + 3*y - 3*z + 11, y - 5*z + 19 = 0. Let c be w(y). Calculate the highest common divisor of c and 80. 10 Let m be (-1)/6 + 1083/18. What is the highest common divisor of m and 40? 20 Suppose 4*p + 2*v - 310 = 0, -4*p = p - 5*v - 410. Let x = -55 + p. Calculate the greatest common divisor of 8 and x. 8 Let o be (-232)/(-4) - (2 + 1). Let p(a) = -a**3 + 5*a**2 - 2*a + 3. Let b be p(4). What is the highest common factor of o and b? 11 Let v be 2/((-4)/(-60 - 4)). Let i be 8 + -7 + 15/1. Calculate the highest common divisor of v and i. 16 Let n(u) = u**3 - 4*u**2 + u + 1. Let t be n(4). What is the highest common factor of 4 and t? 1 Suppose 2*v - 31 = 149. Suppose 20 = 4*w, p + 4*w = 3*p - 52. What is the greatest common divisor of v and p? 18 Let v = 186 - 66. Let x(h) = h**2 - h + 15. Let j be x(0). Calculate the highest common factor of v and j. 15 Let l(j) = 2*j**2 + 3*j - 1. Let h be l(1). What is the highest common factor of h and 44? 4 Let w(g) = -g**2 + 11*g - 1. Let d be w(7). Let i = 15 - d. Let k = -7 - i. Calculate the greatest common factor of k and 15. 5 Let d = 1 - -9. What is the highest common factor of 10 and d? 10 Let w be (97/(-9) + 2/(-9))*-1. What is the greatest common divisor of w and 22? 11 Suppose 2*w - 37 = -0*s + 3*s, 4*w - 5*s = 77. Let m = w - 8. Calculate the greatest common divisor of m and 3. 3 Let k(z) = -z**2 - z + 1. Let o = 2 + -2. Let r be k(o). What is the greatest common factor of r and 2? 1 Suppose 0*d - 3*d = -j - 63, -d = 5*j - 21. Suppose 4*m = -4*s - 36, m - 28 + 9 = s. Let i = 17 + s. Calculate the greatest common factor of d and i. 3 Let z = -22 - -47. Suppose 2*u - 5 = -5*q, -4*u - 2*q - 2*q = -16. Calculate the highest common divisor of u and z. 5 Suppose -7 = -2*y + 29. Calculate the highest common divisor of y and 12. 6 Let a be ((-17)/2 + 1)/(9/(-60)). Let f = -7 - -27. Calculate the highest common factor of f and a. 10 Suppose -4 + 1 = -3*g. Let b be 1/(g - 45/46). What is the highest common factor of 115 and b? 23 Let c be ((-4)/12)/((-2)/12). Suppose -c*a + 20 = -0*a. Calculate the greatest common factor of a and 40. 10 Let r be (-33)/(-2) - (-10)/20. What is the greatest common divisor of 187 and r? 17 Let d be 51/12 - (-1)/(-4). Suppose -k = -3*k - g - 55, 3*k + 70 = -d*g. Let c be k/(-3*(-1)/(-2)). Calculate the greatest common divisor of c and 5. 5 Let v = 27 - 15. What is the greatest common divisor of v and 24? 12 Let j(w) = w + 4. Let v be j(-2). Let z = -1 - -3. Let b be (3/2)/(z/4). Calculate the highest common factor of b and v. 1 Let i be 58 + -6 + 3 + 0. Suppose -2*l = -2 - 6. Suppose -22 - 22 = -l*n. Calculate the greatest common factor of i and n. 11 Let u be (1*3)/(15/20). Suppose -3*c - 2*s = -19, 4*c - 9*s = -u*s + 33. Let p = c + -4. What is the greatest common factor of p and 9? 3 Let l = -2 + 16. Suppose 2*n + 463 = 5*n - d, -n + 150 = 4*d. What is the highest common factor of l and n? 14 Suppose -w = 4*w - 120. Let r(t) = -5*t - 5 + 2*t + t - 1. Let x be r(-7). Calculate the greatest common factor of w and x. 8 Suppose -3*s + 5*s = 2. Suppose 4*r - 2*f = -2, -5 = 2*f - 3*f. Let m(q) = q - 1. Let l be m(r). Calculate the highest common divisor of s and l. 1 Let s(d) = 5*d - 2. Let i be s(-2). Let q be (-408)/i + 0 + 1. Suppose 2*c = -5*t + 68, 3*t + t + 2*c - 54 = 0. What is the greatest common divisor of q and t? 7 Let g(b) = -2*b**2 - 1. Let q be g(1). Let f = 151 + -129. Let p be f*(10/(-4) - q). What is the greatest common divisor of 11 and p? 11 Suppose d + 5*d = 156. What is the greatest common factor of 26 and d? 26 Suppose 2*x - 3*x + 122 = h, 4*h - 5*x - 479 = 0. Suppose 9 - 53 = -4*g. Calculate the highest common divisor of g and h. 11 Let u(k) = k**3 - 3*k**2 - 5*k - 3. Let p be u(5). What is the greatest common divisor of 2 and p? 2 Let b(r) = r**2 + 4*r - 11. Suppose -6 = 2*x + 10. Let o be b(x). Suppose -v - 3 = 0, -s - 2*v + 1 = -0*v. What is the greatest common factor of s and o? 7 Let d(q) = -7*q**2 + 2*q + 1. Let r be d(-1). Let n be -3 + 2 + (3 - r). Let o = -5 + n. Calculate the greatest common factor of o and 5. 5 Suppose 4*i + 5*f - 41 = 0, 3*i - 5*i + 18 = 2*f. Let o = 3 + 2. Suppose -90 = -3*v - r - r, -o*r + 71 = 2*v. What is the greatest common divisor of i and v? 4 Suppose q + 4*n = 6*q - 233, 2*n - 41 = -q. What is the greatest common factor of 5 and q? 5 Let m(q) = -16*q**3 - 5*q**2 - 4*q - 3. Let t be m(-3). Calculate the highest common divisor of t and 36. 36 Suppose t - 4 = 3*s - 3, 5 = -t + 5*s. What is the greatest common divisor of 2 and t? 2 Let o = -428 - -431. Suppose 0 = 4*r - 2 - 6. What is the highest common factor of r and o? 1 Suppose 0*v + 5*v - 2*f = 14, 0 = v - 3*f + 5. Suppose -v*c = -0*b - b + 7, -2*b - 2*c = -4. Let m = 8 - 5. What is the greatest common factor of b and m? 3 Let a be (-9)/(-1*3)*1. Suppose -a = -2*v + 17. Let u = 175 - 135. Calculate the greatest common factor of u and v. 10 Suppose 0 = c - 5, 0 = -0*t - 2*t + 5*c + 7. What is the highest common factor of t and 32? 16 Suppose 5*i = 3*c - 1405, -c + 6*c - 2321 = -2*i. Suppose -5*j = -5*u - c, -4*u - 15 = -3. What is the greatest common divisor of j and 10? 10 Suppose -116 = -3*i + 5*i. Let u = i + 84. What is the highest common factor of u and 39? 13 Let j(w) = w**2 - 4*w - 3. Let n be j(5). Suppose -4*m = -12, 2*h = n*m - 7*m + 43. Calculate the greatest common divisor of h and 2. 2 Let a(r) = 2*r - 2. Let b be a(3). Suppose -25 - 7 = -b*x. Calculat
{ "pile_set_name": "DM Mathematics" }
*f - 18011. Let k(w) = -5335*w**3 - 275*w. Let j(c) = 58*c**3 + 3*c. Determine f*j(h) + 3*k(h). -55*h**3 Let t(i) = -12*i**3 - i**2 + 20*i + 1855. Let m(c) = -3*c**3 + 6*c + 618. Calculate -7*m(g) + 2*t(g). -3*g**3 - 2*g**2 - 2*g - 616 Let n = -2 + 3. Let c(f) = f**3 + 1. Let d(r) = -7*r**2 + 12713 + 6*r**2 - 12712 + 3*r**3. What is n*d(t) - 2*c(t)? t**3 - t**2 - 1 Let a(y) = -4*y**2 - 2*y - 1. Let k(n) = 6204*n**2 + 12*n + 6. Determine 6*a(q) + k(q). 6180*q**2 Let c(o) = -5*o**2 - 2*o. Let w(v) = 6*v**2 + 3*v + 1. Let j = -83 - -86. Let n be (-2)/j*(51 + -48). Give n*w(f) - 3*c(f). 3*f**2 - 2 Let x(y) = 3*y**2 - 9*y + 9. Let o = -1549 + 1553. Let n(i) = i**2 - i. Let d(q) = 4*q**2 - 3*q - 2. Let m(t) = d(t) - 5*n(t). What is o*x(k) + 18*m(k)? -6*k**2 Let t(f) = -11*f - 20. Suppose -4*x + 7*x = -18. Let z = 14 + 3. Let q(n) be the second derivative of -2*n**3/3 - 7*n**2/2 + 988*n. What is x*t(d) + z*q(d)? -2*d + 1 Let v(u) = -12*u**3 - 27*u. Let p = -267 - -375. Suppose -301*b = -305*b - p. Let m(r) = r**3 + 2*r. Give b*m(t) - 2*v(t). -3*t**3 Let r(n) be the second derivative of n**4/4 - n**3/6 + 9*n**2 - 3529*n + 1. Let d(v) = v**2. Give -4*d(x) + r(x). -x**2 - x + 18 Let l(c) = 17*c**2 + 55*c + 5. Let o(z) = -6*z**2 - 18*z - 2. Suppose -4*d - 15*u + u = -142, -79 = -4*d - 5*u. Calculate d*o(b) + 4*l(b). 2*b**2 + 22*b - 2 Let m(n) = -n - 1. Let h be 6/9*((-12)/(-14))/(11/(-7) - -1). Let x(b) be the first derivative of -2*b**2 - 9*b + 1. Determine h*x(c) + 6*m(c). -2*c + 3 Let z(j) = 3*j**2 - 11*j. Suppose -4*k - 4*c - 16 = 0, k + 3*c + 4 = -k. Let s = -36905 + 36908. Let x(h) = h**2 - 4*h. Calculate k*x(u) + s*z(u). u**2 - u Let r(l) = 3 - 8 + 6*l + 0*l + 2. Let u(q) = 17*q - 45. Let t(m) = -34*m + 108. Let b(y) = -2*t(y) - 5*u(y). What is 4*b(p) + 11*r(p)? -2*p + 3 Let r(g) = -6*g + 17. Let s(p) = 2*p - 1. Give r(y) + 4*s(y). 2*y + 13 Let v(t) = -44*t**2 + 11*t + 11. Let a(d) = -43*d**2 + 68*d - 28. Let k(f) = 9*f**2 - 13*f + 5. Let m(b) = -3*a(b) - 16*k(b). What is 11*m(r) - 4*v(r)? 11*r**2 Let l(m) = 1. Let y(h) = 2. Let c(o) = 7*l(o) - 4*y(o). Let k(x) = 7*x**2 + x + 4. Give 5*c(n) + k(n). 7*n**2 + n - 1 Let p(g) = 16*g**2 + 24*g + 1. Let k(u) = 17*u**2 + 21*u + 1. What is 5*k(n) - 4*p(n)? 21*n**2 + 9*n + 1 Let h(u) = -492*u + 24. Let x(v) = 1481*v - 69. What is -17*h(c) - 6*x(c)? -522*c + 6 Let h be (46/23)/2*(7 - 2)/1. Let z(j) = -4*j**3 - 4*j**2 + 3*j. Let x(n) = -n**2 + n. Let q(y) = 4*x(y) - z(y). Let l(r) = -2*r**3. What is h*l(o) + 3*q(o)? 2*o**3 + 3*o Let m(v) be the second derivative of -v**3 - 5*v**2/2 - 2*v + 4. Let o(j) = 7*j + 5. Give -5*m(i) - 4*o(i). 2*i + 5 Let b(k) = -11*k - 584. Let c(o) = 14*o + 581. Calculate 6*b(l) + 5*c(l). 4*l - 599 Let y(j) be the second derivative of -5*j**5/4 - 2*j**3/3 - 3*j**2 - 1656*j. Let m(a) = -a**3 - a - 1. Determine -4*m(x) + y(x). -21*x**3 - 2 Let d(u) = -u**2 + u - 3. Let z(r) = -12*r**2 - 4*r - 10. Give 3*d(a) - z(a). 9*a**2 + 7*a + 1 Let y(h) = -75*h - 15. Let k(d) = -12*d - 1. What is 10*k(r) - y(r)? -45*r + 5 Let f(a) = 34*a**3 + 7*a**2 + 5*a - 13. Let u(q) = 2*q**3 + 2*q**2 + q - 2. Determine f(l) - 5*u(l). 24*l**3 - 3*l**2 - 3 Let i(n) be the first derivative of n**2 + 3*n + 1. Let q be (57 - 5) + (-3)/(-1). Let t(h) = -2 - 117*h + 56*h + q*h - 8. Calculate -7*i(j) - 2*t(j). -2*j - 1 Suppose -3*i + 19 = -3*k + 7, -5*i + 44 = 3*k. Suppose i*u - 5*u = -8. Let x(s) = -1 - 2*s + 3 - 24 + 15 + 8. Let j(o) = -2*o + 1. Give u*j(w) + 5*x(w). -2*w + 1 Let q(a) = -3*a**3 - 315*a**2 - 34. Let k(g) = -6. Determine 6*k(x) - q(x). 3*x**3 + 315*x**2 - 2 Let c(v) = -153*v + 39. Let d(l) = -296*l + 63. Give 7*c(b) - 4*d(b). 113*b + 21 Let a(d) = -8*d - 5. Let o(u) = 15*u + 9. Let v(p) = p**2 + 25*p - 5. Suppose -7*n = -0*n + 735. Let i = 80 + n. Let x be v(i). Determine x*o(j) - 9*a(j). -3*j Let m(u) = -23*u**3 - 11*u - 11. Let z(l) = -11*l - 195. Let t(h) = -7*h - 122. Let x(w) = 8*t(w) - 5*z(w). Determine -2*m(q) + 22*x(q). 46*q**3 Let s be (2/3)/((-158)/1185). Let g(j) = -6*j**3 - 4*j**2 - 11*j - 5. Let i(l) = 9*l**3 + 6*l**2 + 17*l + 8. Give s*i(b) - 8*g(b). 3*b**3 + 2*b**2 + 3*b Let k(f) = 9*f - 26. Let n(l) = -14*l + 39. Let b be 312/(-42) - 92/161. Give b*k(c) - 5*n(c). -2*c + 13 Let j(f) = 10*f - 4. Let i(w) = 11*w - 5. Suppose 13*u + 275 = -6316. Let v = 511 + u. Give v*j(g) - 3*i(g). 7*g - 1 Let o(d) = -2*d**3 + 3*d**2 - 6. Suppose -5 = 3*x - 11. Let b = -58 + x. Let m be (2 + 0)/((-4)/b*-4). Let t(n) = 3*n**3 - 5*n**2 + 11. Give m*o(h) - 4*t(h). 2*h**3 - h**2 - 2 Let r(g) = -59*g**2 + 396. Let h(o) = 426*o**2 - 2772. Calculate 5*h(w) + 36*r(w). 6*w**2 + 396 Let z(s) = 7*s**2 + 52*s + 1. Let u(h) = 12*h**2 + 78*h + 2. Determine -5*u(y) + 8*z(y). -4*y**2 + 26*y - 2 Let x(g) = -19*g**2 - 8*g + 15. Let j(s) = -8*s**2 - 2. What is -2*j(n) + x(n)? -3*n**2 - 8*n + 19 Let f(p) be the third derivative of 0*p**4 + 1/6*p**3 + 0 + 0*p + 9*p**2 + 1/60*p**5. Let v(b) = 21 - 42 - b + 4*b**2 + 28. Determine 5*f(y) - v(y). y**2 + y - 2 Suppose -3408 = -56*h + 9*h - 3784. Let z(k) = -31*k**3 - 5*k - 5. Let c(o) = -46*o**3 - 8*o - 8. Give h*z(p) + 5*c(p). 18*p**3 Let t(k) = 17*k**2 + 5*k + 382. Let g(z) = 4*z**2 + z + 96. Determine -26*g(v) + 6*t(v). -2*v**2 + 4*v - 204 Let i(t) = 20*t**2 + 8*t + 20. Suppose 3*c - 11 = 5*d, 6 = 5*c + 5*d - 39. Let j(f) = c + 16*f**2 + 39*f + f**2 - 10*f**2 - 36*f. Give -6*i(h) + 17*j(h). -h**2 + 3*h - 1 Let z(s) = -13*s + 2. Let w(p) = -14*p + 1315 - 13*p - 2611 + 1300. What is -2*w(b) + 5*z(b)? -11*b + 2 Let k(j) = 35*j - 159. Let m(c) = -49*c + 158. Calculate 4*k(q) + 3*m(q). -7*q - 162 Let d(t) = -23*t**2 - 6*t - 5. Let y(m) = 146*m**2 + 38*m + 31. What is -13*d(z) - 2*y(z)? 7*z**2 + 2*z + 3 Let m be (4/3 + 0)*-3. Let q = m + 3. Let y(h) = 55*h + 113. Let p be y(-2). Let r(l) = -2*l - 3. Let c(f) = -f - 1. Determine p*c(v) + q*r(v). -v Let r(l) = -4*l - 4. Suppose 1 = -3*g + 10. Suppose o = 3*y - 2*y + 14, 0 = 3*y + g*o + 30. Let h = 16 + y. Let w(k) = 4*k + 5. Determine h*w(x) + 5*r(x). -4*x Let c(l) = -4*l + 9. Let v(d) = 9*d**2 + 17*d + 1. Let m be v(-2). Let k(s) = 46 + 11*s - 11 - 19 - 18 - 24. Give m*k(t) + 8*c(t). t - 6 Let g(t) = -6*t - 4. Let r(n) = -n - 1. Suppose -111*c = -109*c - 2, -3*i = -2*c - 1. What is i*g(u) - 5*r(u)? -u + 1 Let w(h) = -10*h**2 + 9*h + 9. Let b(p) be the first derivative of -p**3 + 3*p**2/2 + 3*p - 1570. Give 7*b(y) - 2*w(y). -y**2 + 3*y + 3 Let b(r) = -9*r**3 - 3*r**2 + 3. Suppose 19 = 4*y - 5*z, -5*z - 1 = 5*y + 9. Let j(n) = n**2 + 28*n**3 + y - 27*n**3 - 2. Calculate b(c) + 3*j(c). -6*c**3 Let n(c) = -7*c**2 - c + 7. Let f(t) = -292*t + 5554. Let x be f(19). Let p(r) = -20*r**2 - 3*r + 20. Give x*p(a) - 17*n(a). -a**2 - a + 1 Let l(t) = -1329*t**2 + 2*t - 4. Let j(z) = -2655*z**2 + 4*z - 7. Determine -4*j(s) + 7*l(s). 1317*s**2 - 2*s Let x(z) = z**2 + 36462 - z - 36456 + 7*z**2. Let k(n) = -15*n**2 + 2*n - 11. Let h = 13 - 6. Suppose 8*o + 11 = h*o. Give o*x(w) - 6*k(w). 2*w**2 - w Let w(l) = 4*l**2 + 203. Let q(a) = 2*a**2 + 102. Calculate -5*q(c) + 2*w(c). -2*c**2 - 104 Let q(w) be the first derivative of 3*w**2/2 + 8*w - 4. Let l(f) = -9*f + 0*f - 7*f - 1 + 15*f. Calculate 4*l(k) + q(k). -k + 4 Let w(y) be the first derivative of 5*y**3/3 + y**2 - 2*y - 7. Let o(b) = 26*b**2 + 11*b - 10. Suppose -d = -a + 7, a + 5*d = 3*a - 29. Give a*o(v) - 11*w(v). -3*v**2 + 2 Let m(c) = 6*c**2 + 7*c. Let s(b) = -b**2 - b. Let t(n) = -n - 8. Let q be t(-4). Let d = 16 + q. Suppose 3*j + j = -d. Calculate j*m(f) - 21*s(f). 3*f**2 Let m(o) = -15*o - 185. Let k(x) = 7*x + 98. Give -11*k(j) - 6*m(j). 13*j + 32 Let a(n) = -2*n - 22. Suppose 3*p + u = 3, -5*p + u + u + 16 = 0. Let h(c) = -170 - 180 - 178 - 177 - 165 + 869. What is p*a(w) - 44*h(w)? -4*w Let r(o) = 4*o**2 + 2*o + 76. Let k(g) = 5*g**2 + 3*g + 76. What is -3*k(f) + 4*r(f)? f**2 - f + 76 Let d(v) = -27*v + 5*v + 1 + 7*v + 12*v + 4*v. Let g(m) = 9*m + 8. Determine 6*d(f) - g(f). -3*f - 2 Let k(b) = -2*b**3 - 45*b**2 + 3*b + 8. Let s(g) = g**3 + 51*g**2 - 2*g - 10. Determine -2*k(n) - 3*s(n). n**3 - 63*n**2 + 14 Let y(g) = 433*g**3 - 10*g**2 + 2*g + 14. Let z(q) = 289*q**3 - 6*q**2 + q + 9. Calculate -5*y(m) + 8*z(m). 147*m**3 + 2*m**2 - 2*m + 2 Let d(i) = -i**2 + 1. Let k(h) = 4*h
{ "pile_set_name": "DM Mathematics" }
olve 0 = -5*f - 3*d - 19, f - 2490*d = -2493*d - 47 + 12 for f. 4 Solve -3*g = 44*l + 70, 5*l + g + 9184 = 9209 for l. -5 Solve -2*c + t = -22, -2*c + 167 = -4*c - 12*t - 123 for c. -1 Solve -2*g + 2 + 1 = s - 9, -62*s + 230 = -g - 14 for s. 4 Solve 3*m + 278 = -5*n, m + 1330 = -739*n + 716*n for m. 4 Solve -2*n - 3*b + 64 = 0, 2*n - 5*b - 1506 = -1634 for n. -4 Solve -d + 15 + 21 = 9*m, 15*d = -m + 13*d - 13 for m. 5 Solve -91*w - 83*w - i + 1 = -173*w - 2, -5 = -w - 2*i for w. 1 Solve 4*c + 5*z = -66, -3*c - 48581*z = -48580*z + 55 for c. -19 Solve -2*t = -4*i - 2 - 12, -3*i = 11*i - 14*i + 23*t - 69 for i. -2 Solve 1225*v - 108 = -2*d + 1215*v, 2*v = 5*d - 0*d - 135 for d. 29 Solve n - 4*d = -49, 5*d - 71 = 1778*n - 1780*n for n. 3 Solve -5*j + 3*z - 209 + 30 = 0, -184 = 2399*j - 2398*j - 50*z for j. -34 Solve -122*t - 6 = -88*t + 2*u, 5*t + 5*u = 65 for t. -1 Solve -4*m = 323808*t - 323818*t + 14, 0 = -3*t + 3 for m. -1 Solve 56*i + 2*z - 218 = -48, -5*i = -0*z + 3*z - 18 for i. 3 Solve -4*o = -21*y - 274, -619*y + 2*o = -622*y - 52 for y. -14 Solve 4*k + 4055*a = 4052*a + 28, k = -a + 10 for k. -2 Solve 3*m - 4*p - 64 = 17, -14*m = 4*p - 115 + 281 for m. -5 Solve r - 7*u + 236*u - 1118 = 0, -89*r + 92*r + 86 = u for r. -27 Solve 3*j - 2*d + 54 = -7, -25*j + 55 = -28*j - d for j. -19 Solve k = -4*v + 16, -4*v = -2*k - 8*v - 124 + 136 for k. -4 Solve 32 = -4*o + 41*u - 97*u + 42*u, -4*u = 2*o + 10 for o. -1 Solve -131 - 90 - 109 = 22*p - 242, 0*f - 2*p + 6*p + 18 = -2*f for f. -1 Solve 0 = -3*b + 2*m + 17, -5*b + 2*m + 5817019 = 5816996 for b. 3 Solve 5*x + 52 = -11*l - 40 - 45, -43*l = 4*x - 48*l + 82 for x. -23 Solve o - 4*d + 51 = -10*o, 2*o + 3*d - 12 = 5*o for o. -5 Solve -25*z - 7 = -26*z + 5*r, 3*z - 5*r = -0*z + 6*z - 81 for z. 22 Solve 36*w = -5*q + 32*w + 68, 3*q + 42 = -30*w for q. 16 Solve 4*v - 13 = -y, 2968*y = 2962*y - 3*v + 15 for y. 1 Solve 2*c + 895*r - 891*r - 4 = 0, 0 = -5*c + c - 220*r - 204 for c. 4 Solve -20706*j = x - 20703*j - 8, 3*j - 4*j + 8 = 3*x for x. 2 Solve 550*s - 1105*s + 559*s + 20 = 0, 25*s = -2*v + 28*s + 115 for v. 50 Solve -3*a = -5*w + 7*w + 14, 57*a - 44*a + 21 = -3*w for w. -7 Solve -3*n - 5*t + 11 = -7*n, 2*t - 1 = -39013*n + 39018*n for n. 1 Solve 10147 - 10207 = -5*b, -2*m - 3*b = -38 for m. 1 Solve 0 = 6*l - 2*l - 3*p - 51, -16174 = -5*l + 2*p - 16133 for l. 3 Solve -3*y + 28 = -23*y + 13*y, -6*p + 2*p - 3*y = -44 for p. 14 Solve -56 = -3*o + 19*n, -16*o = -21*o - 16*n + 11*n + 98 + 32 for o. 25 Solve 5*b = 3*k + 18, b + 5*k - 37*k - 2 = -31*k for b. 6 Solve 2*s - s - 5*s = -2*y - 16, -35*s + 20*y = -34*s - 199 for s. -1 Solve 3*u - 10 = 2*g, -u - 37*g = -80 + 117 + 261 for u. -2 Solve 4*f - 12 = 4*d, 8*f - 120643*d + 120638*d = 24 for f. 3 Solve 0 = -2*t - 3*t - 5*t + 4*t + 4*u + 122, 3*t - 68*u - 2569 = 0 for t. -5 Solve -5*t + j = -17, -j - 73 = -6*t - 53 for t. 3 Solve -1048*l + 1044*l = -m - 35, 55 = 11*l for m. -15 Solve -3*q - 3*z - 45 = 0, 1506 - 1467 = -2*q - 5*z for q. -12 Solve 0 = 5*g - 61 - 113 + 44, 0 = 8*y + 13*g - 322 for y. -2 Solve -2*j = 7*k + 18, 0 = -k + 5*j + 823 - 778 for k. 0 Solve -19 - 1 = -4*y + 4*v, -19 = -16*y + 5*v + 28 - 11 for y. 1 Solve 2*a + 4*f + 9 = a, 0 = -33*a + 28*a - 3*f + 6 for a. 3 Solve 3*i = -5*s + 19*s - 19*s + 12, 8 = 4*i + 4*s for i. -1 Solve 158*p - 42 + 242 = -4*t + 142*p, 0 = -2*p - 10 for t. -30 Solve 0 = -8*w + 35*u + 872, 5*w - 381*u + 100 = -766*u + 380*u for w. 4 Solve 3*o - 36 = -2*l, 1007994*o - 3*l - 300 = 1007969*o for o. 12 Solve 2*h + 22396*w - 18 = 22395*w, 3*h = 4*w + 49 for h. 11 Solve -9*v + k = -0*k - 52, -5*v + 7*k = -5231 + 5099 for v. 4 Solve -40*i = -2*n + 52 - 24, -3*i + 4*n + 28 = -5*i - 2*i for i. -1 Solve 5*c - c - 18*g - 93*g = -646, 2*g - 44 + 42 = -5*c + 35 for c. 5 Solve -3*v - 5*d = -2*d - 30, -70222*v + 4*d + 1715 = -69875*v for v. 5 Solve 125*o = u - 4, -187*o + 371*o - 12 = -3*u + 183*o for u. 4 Solve w + 10*n - 42 = 0, -6170*w + 6174*w - 24 = -4*n for w. 2 Solve -2615 + 2637 = -5*o - 28*k, -53 = 5*o - 3*k for o. -10 Solve 4*n - 22 = -5*h, -10456*n - 5*h = -10448*n - 54 for n. 8 Solve -74*s + 365 = 10*n - 15*n, -458*n + 5*s = -462*n + 2*s + 19 for n. 1 Solve 0 = -4*z - 62*r + 166, 4*r + 144 = -z + 151 for z. -5 Solve -5*w - 986 = -1076, 40*w - 338 - 387 = d for d. -5 Solve -60 = -4*s + 4*t, -s + 5*t = -15344 + 15337 for s. 17 Solve -126*u - 2848 = 2*p - 320, 2*p - 72 = 4*u for u. -20 Solve 5*x = 5*h, 4976 = 4*x - 5*x - 3*x + 3*h + 4972 for x. -4 Solve 3*c - 124*s = 5*c - 126*s + 20, 50 = 5*s for c. 0 Solve 115*p - 119*p - 29 = -13*z, 0 = -z + 3*z + 5*p + 18 for z. 1 Solve -6*n - 2*c - 82 = -4*n, 0 = 2*n - 5404*c + 5401*c + 107 for n. -46 Solve -5*c + 5*o + 12 = 2, -23*o - 11*o = c + 31 - 68 for c. 3 Solve d + 4 = -3*v + 7*v + 11 + 15, -5*d - 2*v = 0 for d. 2 Solve 2322 = -3*c - 195*a - 267*a, 5*a = 5*c - 5 for c. -4 Solve 5*y = -4*h + 5, -21*y + 21 = 126*h - 122*h for y. 1 Solve 135*c + 3*h - 4 = 137*c, 3*h = 4*c - h + 16 for c. -8 Solve m = -3*y + 17 - 0, -17*y - 57 = -m for y. -2 Solve -k + 4*k - 16 = -4*l, 45*l - 5 = 69*l + 4*k - 101 for l. 4 Solve 0 = -3*i - 14*h - 168, 0 = 3*i + 5*h - 1907 + 1967 for i. 0 Solve 326*h - 6 = l + 330*h, -5*l + 5*h - 33 = -4*l for l. -18 Solve 0 = 11*f - 4*v - 57, f + 1371*v - 683*v - 685*v = 22 for f. 7 Solve 13*k = -5*l - 105, -9*l + 0*l = -2*l - l - k + 43 for l. -8 Solve -3*m - 2*b = -27, -7*m + 5*b - 183 = -159 for m. 3 Solve 14*a = -8*u + 9*a + 323, 5*u - 108 = 5*a + 102 for u. 41 Solve 2*j = -4*d + 22, -4*d + 18 = 291*j - 292*j - 13 for j. -3 Solve 0 = 1107*f - 1112*f + 20, c - 17 = -3*f for c. 5 Solve 2*y + 10 = -2*y - 7*b, -2*y = -10*b + 4*b + 24 for y. -6 Solve -197*y + 195*y + 65 = -4*r - 49, -5*y = -3*r - 82 for r. -29 Solve -4*o + 6 = 5*b - 16, -5*o + 2*b - 7 = 15 for o. -2 Solve -c - 11 = -d, 0 = -30*d + 44*d - 38*d - 105*d + 5*c + 179 for d. 1 Solve -3*p + 2*p = -3*m + 28, m = 6*p + 117 for m. 3 Solve -2*o + 2*o - 22 = -2*i - 2*o, -15 = -4*i + 25*o for i. 10 Solve 12*y - 8*g + 132 = 0, 7*y + 42 = 3*y - 628*g + 630*g for y. -9 Solve -532*y = -525*y - 21, s - 24 = -5*s + 4*s - 4*y + 56 for s. 34 Solve c + 5*o = 19, -5*c + 170 - 378 = -3*o - 163 for c. -6 Solve -3*v - 9*o + 117 = 0, 74090*v + 52 = 74100*v + 4*o for v. 0 Solve 14 = -9*y + 2*g - 5 + 5, -5*g - 4 = -3*y for y. -2 Solve 0 = -4*y + 3*l - 86, 2*l + 30 = -17*y + 48 for y. -2 Solve -64*z = -69*z - 3*q + 68, -39*z + 29*z - 4*q = 67*z - 372 for z. 4 Solve 117 - 246 = -25*v + 2*q, v - q - q - 2*q - 28 = -3*v for v. 5 Solve -6*g - 3*h - 165 = -3*g + 93, -11*g + 168 = -2*h - 30 for g. 2 Solve -13695*t + 13692*t - 11 = 2*c, 2*c - 5*c + 3*t = 54 for c. -13 Solve 1167*z - 25 = 1163*z - h, 23 = 5*z + h for z. -2 Solve 0 = 5*i - 26*p - 28*p + 176, -24*i - 4*p = -16*i - 10*i - 8*p + 32 for i. 8 Solve -3*y = w - 33, -5*y - 9382 = 3*w - 9465 for y. 4 Solve -3*h = -1614*y + 1653*y + 2*h + 215, -2*y - 2*y = -5*h for y. -5 Solve -s = -4*o - 32, 244*s - 15*o - 184 = 241*s - 3*o + 22*o for s. 16 Solve -2*a - 4225 + 4118 = -3*y, 89 + 52 = 4*y - a for y. 35 Solve -u - 6 = 2*t - 33 - 2, 5*t = -3*u + 75 for u. 5 Solve 3881*z - 3 = -2*v + 3882*z, 38*v - 41 = 3*z for v. 1 Solve 2*q - 1984 + 1968 = f, 43 = -f + 5*q for f. 2 Solve 5*r - 4*f - 162 + 173 = 0, r + 2*f - 3*f = -2 for r. -3 Solve -201*m + 40 = -3*u - 205*m, 6*m + 60 = 4*u for u. 0 Solve 0 = -272*j + 267*j - 12*n + 2*n, -4*n = -4*j + 12 for j. 2 Solve -3*s - 4*w - 59 = 0, -s + 19036*w - 19027*w - 30 = 0 for s. -21 Solve 5609*z - 5604*z = 9*r + 133, 0 = 4*r + 2*z + 38 for r. -12 Solve q + 194 = -5*r, -6*q + 113*r = 119*r + 252 for q. -4 Solve 6*v + 11*w = 7*w + 102, 0 = v + 2*v - 2*w - 165 + 126 for v. 15 Solve 13 - 11 = a + 4*a + 9*w + 54, -a - w - 4 = 0 for a. 4 Solve -17077016 = -5*t + 5*u - 17077001, 13*u + 39 = -3*t for t. 0 Solve -1270 = 2*i + 3*y - 1212, 0 = -38*i + 2*y - 1220 for i. -32 Solve 2*p - 2*g = -36, 5*g = 213162*p - 213164*p - 15 for p. -15 Solve n = r - 13, -2*r + 67 = -5*n + 3*n + 2*r + 9 for n. 3 Solve 164548*b - 4*g = 164549*b - 33, -4*g = -188*b + 3936 for b. 21 Solve 21611742*u = -3*q + 21611744*u + 2, 0 = 3*q - 5*u - 14 for q. -2 Solve -4*t + 174 = -8*s - 5*s + 163, 4*t - 22 = 2*s for s. 1 Solve -2764*x + 2775*x - 21*o + 103 = -18*o, -3*o = x - 7
{ "pile_set_name": "DM Mathematics" }
-132.27, 54? -1/5 Which is the closest to 2/7? (a) -0.3 (b) 117 (c) 10194 (d) -2 a What is the nearest to 1 in -0.65, 1.9, 4.7, -3/7? 1.9 What is the closest to 1/7 in -3, 2/5, 0.1, -4, -3/2? 0.1 What is the closest to -0.074109 in -1, -6/5, -5? -1 What is the closest to 1/4 in -2/19, 3/4, -4, 5, -47491? -2/19 What is the closest to -0.03 in -0.05, -0.8, 4, 2, -28/9? -0.05 Which is the nearest to -405? (a) -1/74 (b) -4 (c) -0.2 (d) -5/8 (e) 0.5 (f) 0 b Which is the closest to -22.8? (a) -1/5 (b) -929/5 (c) 2/3 (d) -2/9 d Which is the closest to 7? (a) 1/13 (b) 0.1 (c) -1/6 (d) 2 (e) 5 e What is the closest to 0.27 in -1, -2478, -0.238? -0.238 Which is the closest to -35? (a) -2/5 (b) 3/2 (c) 1.24 (d) 5 (e) -4 (f) 0.6 e Which is the closest to 0.4? (a) 57 (b) -0.3 (c) 1109 (d) 0.26 (e) -1/2 d What is the closest to -13 in 175/141, 4, -7? -7 What is the nearest to -16.7 in 2/5, 6, 3.29? 2/5 Which is the nearest to 1? (a) 193 (b) -4 (c) -5/8 (d) 5/29 (e) 0 d Which is the nearest to -2? (a) 0 (b) -0.1 (c) -1162.313 b Which is the nearest to -2/9? (a) 20 (b) -5 (c) -2/3 (d) -422 c Which is the closest to -1? (a) 0.5 (b) -0.11 (c) -937 (d) -1 (e) -6 (f) -29/10 d Which is the closest to 0.7? (a) 148 (b) -51.094 (c) 5 c What is the nearest to 0 in -2/11, -2, 4, 196, 1, -0.1617? -0.1617 Which is the closest to 0.3? (a) -2/11 (b) -3 (c) 3 (d) -7 (e) -2/41 (f) 89 e Which is the closest to -1/2? (a) -3/8 (b) 371 (c) 3/16 (d) 2.8 (e) 0.5 a Which is the closest to -0.5? (a) -1336 (b) -2/11 (c) -0.049 (d) 5 b Which is the nearest to 7? (a) 2.4 (b) 1 (c) 5/2 (d) -112 (e) 4 e What is the nearest to -2 in 10, 2/15, 2.19, -7, -2, -2/5? -2 What is the closest to -40364 in -0.5, -3/2, 1? -3/2 Which is the closest to 2.2? (a) -3 (b) -592 (c) 2 (d) -1 c Which is the nearest to 238? (a) 3 (b) -4 (c) 3/4 (d) -70 (e) -0.1 a What is the closest to 0.3713 in 285, -2/9, 1/4, 5? 1/4 What is the closest to 1 in 27, -7, -0.22, -219.4? -0.22 Which is the closest to -62? (a) -413 (b) 1 (c) -1/2 (d) 1/126 c What is the closest to 2 in -2/3, -0.23, -210, -308/3, 2? 2 What is the nearest to -1/4 in 0.14, -0.2, 0.018211? -0.2 Which is the nearest to 2/5? (a) 2/5 (b) -0.14 (c) -671.4 (d) 5 a Which is the nearest to -2? (a) 1 (b) -8083 (c) 8 (d) -5/6 d What is the nearest to -1 in 6/5, -1/10, 0.0303, 2, -1/4? -1/4 Which is the closest to -12? (a) 4 (b) 3 (c) 1/4 (d) -0.36 (e) 10.7 d Which is the nearest to -1? (a) 1/3 (b) 6 (c) 23 (d) -1293 (e) -1/4 (f) -1 f Which is the nearest to 80190? (a) 0.4 (b) -1/9 (c) 1/4 (d) 6 (e) 3 d What is the nearest to -1.7 in -1/3, -3, 1/1255? -3 Which is the closest to -0.1? (a) -0.4 (b) -0.3 (c) -0.1 (d) -5640/7 (e) -0.025 c Which is the closest to 3/115? (a) 5 (b) -5141 (c) 3 c Which is the nearest to -1/3? (a) 102 (b) 76 (c) -26 (d) 0 d What is the closest to 1/97 in 0.5, -5, 9, 0.143? 0.143 What is the nearest to 1 in 7, -2/3, 0.3, -0.1, -2.038? 0.3 Which is the closest to 147515? (a) -4/9 (b) 0 (c) 1/2 c Which is the closest to 13? (a) 1/4 (b) -4 (c) 8 (d) -9 c Which is the closest to 5237.6? (a) -0.2 (b) 9 (c) 0.9 b Which is the closest to 0.2? (a) 0.4 (b) -4553 (c) -2 (d) -235/2 a Which is the nearest to -2/3? (a) -3 (b) -4 (c) 0.1 (d) -1/18145 (e) 6 d What is the nearest to 3 in 2/83, -2153.7, 1, -2/5? 1 Which is the closest to -38? (a) -0.03 (b) 269/5 (c) -0.8 (d) 5/4 c What is the nearest to -1/2 in 3, -15/7, -0.7, 0.2, 2/23? -0.7 Which is the closest to 21? (a) 20/7 (b) -4/5 (c) 1/2 (d) 9/5 a Which is the nearest to -1? (a) -0.131 (b) 0.02 (c) 3/16 (d) -4/123 a What is the nearest to -1/6 in 5, -240, -1/42, -0.5? -1/42 Which is the closest to -531034? (a) -3 (b) 3/5 (c) -6 (d) -4 c What is the closest to 0.1 in 539/19, 69, 2/11, -40? 2/11 Which is the nearest to 15/13? (a) 5038 (b) 0 (c) -1/2 (d) 6/59 d What is the closest to 29 in 0.5, -2, 5, 2.423? 5 What is the closest to 1916/7 in 0.2, 0, -0.109? 0.2 What is the nearest to 12 in 0.1, 3, -1/10, 16, 5/8? 16 What is the nearest to -65/2 in -1.77, 4/9, -35, -2? -35 Which is the nearest to -1/7? (a) 3/13 (b) -2 (c) -0.1 (d) 2/5 (e) -66 c Which is the closest to -5? (a) 1295 (b) 0.2 (c) -1/6 (d) 0.1 (e) 1/6 (f) -2/5 f What is the closest to -1/11 in 1, 0.0811, 22, -0.4? 0.0811 Which is the nearest to 1? (a) -0.3 (b) -74 (c) 38 (d) 150 (e) -1/3 (f) -2/3 a Which is the closest to 24? (a) -5 (b) -4 (c) 9 (d) 2/5 (e) 13/5 c What is the closest to 30 in -5, 1, 3, 7, -127, -70? 7 What is the nearest to -0.09 in 2/9, -0.3, -22.8, 1412? -0.3 Which is the closest to -3? (a) -35.62 (b) 2/19 (c) -4/7 (d) 0.004 (e) 5 c What is the nearest to 0.1 in 2, -97.647, 166? 2 Which is the closest to 3/2? (a) 5/111 (b) -0.4 (c) -5 (d) -1.1 (e) -0.03 a What is the closest to 13 in -5, 4500, 0, -0.9, 1/2? 1/2 What is the closest to -3 in 501, -0.0689, -4? -4 What is the nearest to -7/3 in -37, 0, 5465.3? 0 Which is the nearest to 12? (a) 1/6 (b) 1/5 (c) -2385 (d) -1.2 b What is the nearest to -1/27 in -20, -0.03, -91? -0.03 Which is the nearest to -11/6? (a) -5 (b) -1 (c) -450 (d) -203 (e) 4 b What is the closest to -2 in -2/3233, -9/11, -3/5? -9/11 Which is the nearest to -1? (a) 970 (b) -1/20 (c) 0.1 (d) 0 (e) -3 b What is the nearest to 3 in -3/5, -395, 50, -0.2, 2/7? 2/7 Which is the nearest to 2? (a) -4/9 (b) -1 (c) -173111 a Which is the closest to 4/93? (a) -3/28 (b) 2 (c) 1/2 (d) -0.4 (e) -2/3 (f) 62 a What is the nearest to 230 in -0.11, 0.1, -2/5, 2/5, 426? 426 What is the nearest to 1/3 in -2207, 8, -1.69, -3? -1.69 Which is the nearest to -98051? (a) -1/3 (b) 3/2 (c) -0.5 c Which is the nearest to 2? (a) 509 (b) 0.5 (c) 113 (d) 4 b What is the closest to -3951 in -0.02, 4, 16/9, 0.2, -0.5? -0.5 What is the nearest to 4 in -4, 8.8, -14/9, -2/9, 26? -2/9 Which is the nearest to 4? (a) 2/3 (b) 3142/5 (c) 0 (d) -4 (e) -3 a What is the nearest to -2/11 in -10/123, 0.7, 4, -1/5, -8? -1/5 Which is the nearest to -2/5? (a) 1/4 (b) -602 (c) -2/7 (d) -95/212 d What is the closest to -6 in -673/3, 2, 0.282? 0.282 What is the closest to -8/13 in -1554, 0.1, -3, 3? 0.1 Which is the closest to -0.2? (a) 1 (b) -2 (c) -5 (d) -7 (e) 2/8097 e What is the nearest to -64 in 209, -4, 0.76? -4 What is the closest to 2.5 in 7/37, -3, 2773? 7/37 Which is the nearest to -0.2? (a) -2/521083 (b) 5/3 (c) 0.02 a What is the nearest to -6/13 in -1/2, -1/19, 1/4, -0.2, -2/43? -1/2 What is the nearest to 3 in 12/17, 2, -5, 702? 2 Which is the closest to -2? (a) -5 (b) 19 (c) -2/7 (d) -359 (e) 2/11 c Which is the closest to -0.6? (a) 0.5 (b) -0.163267 (c) 3/4 b What is the closest to 0 in -19.9145, -0.4, 0, -3/8? 0 What is the nearest to -2/5 in -1/7, 1.9, 0.5, -6.8, -0.5, 0.4? -0.5 What is the nearest to 2/9 in 1.3, -2, 31, 1.32, -1/3? -1/3 Which is the closest to -0.1? (a) -7 (b) 3 (c) 0.09 (d) 1/7 (e) 49930 c Which is the nearest to 8? (a) -3 (b) 2859 (c) 7 c What is the closest to 167502 in 1, 4, -4/9, -4, -0.2? 4 What is the closest to 23 in -0.3, -1.65, 1/285? 1/285 Which is the nearest to 3? (a) 0.3 (b) -465 (c) 548 (d) 0 a What is the closest to -1 in 1.1, 4, 0.03, -0.41, -1, -0.5? -1 Which is the closest to -0.04? (a) -0.1 (b) -1/11 (c) -17/4 (d) 2/11 b Which is the nearest to -14? (a) 0.283 (b) 8/3 (c) -18 (d) 0.5 c Which is the nearest to -35? (a) -143 (b) 1/9 (c) -85 (d) -22 (e) 5 d Which is the closest to 2.461? (a) -1/4 (b) -2/17 (c) 3 (d) -23/18 c What is the closest to 1 in -29, 12395, 0.1? 0.1 Which is the closest to -41? (a) 0.1 (b) 10 (c) 791.4 a What is the nearest to -8 in -4/5, 1/6, 0.19, 19, -21/10? -21/10 Which is the nearest to 54.8? (a) -0.3 (b) -4 (c) -34 a Which is the closest to 7? (a) 2613 (b) 2/9 (c) 4 (d) -0.5 (e) 2/71 (f) 7/2 c Which is the nearest to -11? (a) 2 (b) 2008/3 (c) 153 a What is the closest to 101 in 1/8, -3, 178/31, 0.4? 178/31 Which is the closest to 1? (a) -3/7 (b) 2 (c) -1 (d) -2/7 (e) 1.119 e What is the closest to -3/4 in -4/5, 0.0441, 2.368? -4/5 Which is the closest to -0.1? (a) 7.617 (
{ "pile_set_name": "DM Mathematics" }
dps? 0.0007716 Round -1.58586173 to 2 dps. -1.59 Round 0.0190355769 to 6 decimal places. 0.019036 Round 141.9268297 to the nearest ten. 140 Round -0.1466186259 to 5 dps. -0.14662 Round 1657969.1 to the nearest one thousand. 1658000 Round 286996245.7 to the nearest 100000. 287000000 Round 0.0121668795 to five decimal places. 0.01217 Round -6.71347201 to three dps. -6.713 Round -0.2043525743 to 2 dps. -0.2 What is -24.689684 rounded to 1 decimal place? -24.7 Round 1994011090 to the nearest one hundred thousand. 1994000000 Round 2224779.97 to the nearest ten thousand. 2220000 Round -1.053942825 to four decimal places. -1.0539 Round 93.9459573 to the nearest ten. 90 What is -88.28885 rounded to the nearest 10? -90 What is -8960.017212 rounded to the nearest 10? -8960 Round -474.78311 to the nearest integer. -475 What is 15804395.4 rounded to the nearest 10000? 15800000 What is -11657253234 rounded to the nearest 100000? -11657300000 What is 0.00080425464 rounded to seven dps? 0.0008043 Round 5727.0467 to the nearest ten. 5730 What is -0.076610582 rounded to two dps? -0.08 Round 10925.9438 to the nearest integer. 10926 What is -0.00000761882511 rounded to six decimal places? -0.000008 What is 0.0104601885 rounded to 5 decimal places? 0.01046 What is 0.0030224028 rounded to 5 dps? 0.00302 Round -7.7199319 to 3 dps. -7.72 What is -873075.361 rounded to the nearest one hundred thousand? -900000 Round -1992.886 to the nearest one thousand. -2000 What is 436678.583 rounded to the nearest one hundred thousand? 400000 What is -2057.65409 rounded to 0 dps? -2058 What is -0.71754325 rounded to two decimal places? -0.72 Round -315391.494 to the nearest one hundred thousand. -300000 Round -57.203753 to 2 decimal places. -57.2 What is 1952710.446 rounded to the nearest 100000? 2000000 Round -13490.0166 to the nearest one hundred. -13500 What is 0.0696238301 rounded to 5 dps? 0.06962 What is 0.00222103845 rounded to seven decimal places? 0.002221 What is -0.0004292706809 rounded to 5 dps? -0.00043 Round -0.0519370015 to two dps. -0.05 What is -0.00000036166308 rounded to 7 decimal places? -0.0000004 Round -15966182.19 to the nearest 100000. -16000000 Round 0.043296579 to two decimal places. 0.04 Round 0.0000009826466 to six dps. 0.000001 Round -4564412.6 to the nearest 100000. -4600000 Round -407.63715 to 0 decimal places. -408 What is 30417.3681 rounded to the nearest one thousand? 30000 What is 0.002390187262 rounded to four dps? 0.0024 What is 289.73672 rounded to the nearest one thousand? 0 Round -0.000003891281199 to 7 decimal places. -0.0000039 Round 0.00004686607 to 7 dps. 0.0000469 Round 1.314113799 to three decimal places. 1.314 What is -1542.2645877 rounded to the nearest one hundred? -1500 What is -14009847.5 rounded to the nearest 1000000? -14000000 What is -0.000001198772899 rounded to 7 decimal places? -0.0000012 Round -0.00069210503 to 5 dps. -0.00069 Round -18017.29954 to the nearest one hundred. -18000 What is -0.0008276554 rounded to three decimal places? -0.001 Round -62816232.9 to the nearest one million. -63000000 Round -0.0032788817 to five decimal places. -0.00328 What is -221567.45 rounded to the nearest 10000? -220000 Round -0.0051464963 to three decimal places. -0.005 Round 275603.469 to the nearest 100. 275600 Round -75303651.2 to the nearest 10000. -75300000 What is -2355.714478 rounded to the nearest 1000? -2000 Round 1.818380715 to four decimal places. 1.8184 Round 0.00000044206721 to six decimal places. 0 What is -56609206.19 rounded to the nearest ten thousand? -56610000 What is 2585772 rounded to the nearest one hundred thousand? 2600000 Round 275847.5263 to the nearest one thousand. 276000 Round -15.26436811 to 1 dp. -15.3 Round 6.5339441 to zero dps. 7 Round 108630726.16 to the nearest 1000000. 109000000 Round -0.009020648178 to seven decimal places. -0.0090206 Round -10114.43826 to 1 dp. -10114.4 Round -1.87552511 to 4 decimal places. -1.8755 What is 7873.63081 rounded to 0 decimal places? 7874 What is -230130840 rounded to the nearest one hundred thousand? -230100000 Round -0.1488524069 to four dps. -0.1489 What is 6694.43502 rounded to the nearest 1000? 7000 What is -101.575968 rounded to 1 decimal place? -101.6 What is 3.1176675 rounded to 2 dps? 3.12 What is 23687.5238 rounded to the nearest integer? 23688 What is 487319.06 rounded to the nearest 10000? 490000 What is 10957804.75 rounded to the nearest one million? 11000000 Round 22.87807535 to three decimal places. 22.878 What is -3446.49389 rounded to the nearest one thousand? -3000 Round 50448.7 to the nearest ten thousand. 50000 Round -0.7009826736 to three dps. -0.701 Round 195085.62 to the nearest one thousand. 195000 What is -0.0005260549717 rounded to 5 dps? -0.00053 Round -0.00905783096 to six dps. -0.009058 What is -31.2168485 rounded to the nearest ten? -30 What is 0.01182276991 rounded to six dps? 0.011823 What is 2.23404257 rounded to 2 decimal places? 2.23 What is -304671.3 rounded to the nearest one thousand? -305000 What is 31.97861842 rounded to three decimal places? 31.979 Round 0.00581357975 to seven dps. 0.0058136 What is -1376.79462 rounded to the nearest 100? -1400 What is -0.12632603538 rounded to 5 decimal places? -0.12633 What is 0.00086970393 rounded to six decimal places? 0.00087 What is 0.001715407037 rounded to four dps? 0.0017 Round 0.0112767933 to three decimal places. 0.011 Round -0.103187316 to 5 dps. -0.10319 What is -2.5806536 rounded to 3 decimal places? -2.581 What is 1.64072914 rounded to 3 decimal places? 1.641 What is 350.059976 rounded to 1 decimal place? 350.1 What is 0.002222175396 rounded to 3 dps? 0.002 What is 2862932.4 rounded to the nearest ten thousand? 2860000 What is 0.1474392186 rounded to one dp? 0.1 What is 2361.20308 rounded to the nearest 10? 2360 Round 1840.71698 to one decimal place. 1840.7 Round 0.00026971103 to four decimal places. 0.0003 What is 0.000096153044 rounded to 5 dps? 0.0001 What is -14124.0715 rounded to the nearest 10? -14120 What is 0.0170113565 rounded to 3 dps? 0.017 Round -4122.4998 to the nearest ten. -4120 Round -4101.4778 to the nearest ten. -4100 Round 0.00000086472584 to seven decimal places. 0.0000009 What is 41.0343639 rounded to two dps? 41.03 What is -0.00000165276774 rounded to seven dps? -0.0000017 Round -23.7622352 to two decimal places. -23.76 What is -600803420 rounded to the nearest ten thousand? -600800000 Round 0.095958202 to four dps. 0.096 Round -0.0001410054 to six dps. -0.000141 What is 64782860.98 rounded to the nearest one million? 65000000 What is -3468.81714 rounded to 1 dp? -3468.8 What is 261184.0389 rounded to the nearest ten thousand? 260000 What is -10688.1523 rounded to the nearest ten thousand? -10000 What is 30815985 rounded to the nearest 1000000? 31000000 Round -491.6354531 to the nearest 10. -490 Round -0.0000173290574 to 6 decimal places. -0.000017 What is -2572.59341 rounded to 1 decimal place? -2572.6 What is 3348.953305 rounded to the nearest ten? 3350 What is -0.149778267 rounded to three decimal places? -0.15 Round 168352371.3 to the nearest one million. 168000000 Round -99922618.2 to the nearest 1000. -99923000 What is 1.0146823 rounded to two dps? 1.01 Round -1.389817 to two decimal places. -1.39 Round 34407.988 to the nearest ten. 34410 Round 27.436749 to the nearest integer. 27 What is -15.47608431 rounded to the nearest ten? -20 What is -1.31775046 rounded to 1 decimal place? -1.3 What is -531.741893 rounded to 0 dps? -532 What is 0.0000816813734 rounded to 5 dps? 0.00008 What is 168264332.6 rounded to the nearest 10000? 168260000 What is -107952.8613 rounded to the nearest one thousand? -108000 Round 0.000433436195 to 5 decimal places. 0.00043 Round -13393459 to the nearest ten thousand. -13390000 What is -0.0067985866 rounded to 6 decimal places? -0.006799 What is -300.77691 rounded to the nearest ten? -300 Round -9054942.2 to the nearest one hundred thousand. -9100000 Round -0.000001440166834 to six dps. -0.000001 What is -4.188127785 rounded to 1 dp? -4.2 Round 72.984634 to zero dps. 73 Round 0.793522764 to 1 dp. 0.8 What is 46621.40407 rounded to the nearest ten? 46620 What is -0.628869155 rounded to 1 dp? -0.6 Round -34.6673889 to the near
{ "pile_set_name": "DM Mathematics" }
(sqrt(4) + sqrt(64))) + ((4*sqrt(126))/sqrt(2) - sqrt(63))/sqrt(9))*5. -16*sqrt(7) + 80 Simplify ((sqrt(91) + -2*4*sqrt(91))/(sqrt(84)/(sqrt(96)/sqrt(8))))**2. 637 Simplify (sqrt(2) + -3*sqrt(50))*-1 + 0 + (sqrt(98) + -1)**2. 99 Simplify (-2*sqrt(2400))/(-4*sqrt(1152)). 5*sqrt(3)/12 Simplify 1*(((sqrt(475) + 2*sqrt(475))*-2)**2 + -3 + sqrt(475) + -2). 5*sqrt(19) + 17095 Simplify (sqrt(540)/(sqrt(12)*-2))/(-5*sqrt(36)). sqrt(5)/20 Simplify 1 + 5 + (2*sqrt(300) + sqrt(300) - (sqrt(363)*-1 + sqrt(363)))*5. 6 + 150*sqrt(3) Simplify (sqrt(1458) + 1 + sqrt(1458) - (sqrt(108)/sqrt(2))/sqrt(3))*-4. -204*sqrt(2) - 4 Simplify -6*((1 + sqrt(7))**2*-1 + sqrt(7) + 0 + (-2 + (sqrt(847) + 1 + sqrt(847) - sqrt(847)))**2). -5040 + 138*sqrt(7) Simplify (sqrt(21) - sqrt(525)*-6)/(sqrt(18)/sqrt(6)*5) + -2. -2 + 31*sqrt(7)/5 Simplify (4*(sqrt(495) - (sqrt(495) + -1*sqrt(495) - sqrt(495))*-1))/(sqrt(99) - (2*sqrt(99)*-5 - sqrt(99))). 0 Simplify (sqrt(143)/(6*4*sqrt(11)) - (sqrt(1053) + 2*sqrt(1053) + -5)**2) + 0. -9502 + 6481*sqrt(13)/24 Simplify 4 + 5*(sqrt(90)/sqrt(3)*-5)/(sqrt(10)*1*-2). 4 + 25*sqrt(3)/2 Simplify (6*sqrt(330)/(sqrt(66)/sqrt(6)))/(sqrt(726) + 3*(sqrt(726) + -3*sqrt(726))). -6*sqrt(5)/55 Simplify 2*(-5*(-1 + sqrt(833)) - (2*sqrt(2448))**2*6). -117494 - 70*sqrt(17) Simplify -1 + sqrt(275)*1*-2 + -1 + 2 + sqrt(891)*2. 8*sqrt(11) Simplify ((sqrt(448) - sqrt(448)*1) + 5 + 4)**2 + ((1 + sqrt(448) + 0)*-3)**2. 144*sqrt(7) + 4122 Simplify (sqrt(1694) - (sqrt(1694) + sqrt(1694)*-1))/(sqrt(18) - sqrt(18)*-3). 11*sqrt(7)/12 Simplify ((sqrt(192)/(4*sqrt(12)))/(sqrt(24)/(sqrt(3)*4)) + 2)*5. 5*sqrt(2) + 10 Simplify (-2*sqrt(468) - sqrt(52))/(sqrt(4) - sqrt(144)*2) + (sqrt(104) + (1*sqrt(104) - sqrt(104))*3)/(sqrt(16)/sqrt(2)*2). 25*sqrt(13)/22 Simplify -5 + (5 + (sqrt(363) - -4*sqrt(363)) + sqrt(363) - sqrt(363)) + (sqrt(243) + -2 + sqrt(243))**2 + (sqrt(75)*-2)**2 + sqrt(75). -12*sqrt(3) + 1276 Simplify (sqrt(132) + sqrt(132)*-6*4 - sqrt(132))/sqrt(12) - (4 + sqrt(704) + (-4 + sqrt(704) - sqrt(704))**2). -32*sqrt(11) - 20 Simplify (sqrt(312) - (-6*(sqrt(312)*-3 - sqrt(312)) + sqrt(312)))/((sqrt(90)/sqrt(5))/sqrt(3)). -48*sqrt(13) Simplify (1 + 5*(1 + sqrt(75)) - (sqrt(75)*-1*-2 + -4))**2. 300*sqrt(3) + 775 Simplify (-6*(sqrt(1377) + -1)*2)**2 + (-5*(-2 + sqrt(17)) - (sqrt(17) + sqrt(68) + -3*sqrt(68) + sqrt(68) - sqrt(17))). -2595*sqrt(17) + 198442 Simplify (2*sqrt(2112))/(sqrt(3) - (sqrt(33)/(sqrt(66)/sqrt(6)) + sqrt(3))). -16*sqrt(11) Simplify 1*(sqrt(200)/(sqrt(20)/sqrt(4)))/(sqrt(32) + sqrt(288)). sqrt(5)/8 Simplify -4*((sqrt(3840) - sqrt(3840)*2)/(2*sqrt(36)/sqrt(3)))**2. -320 Simplify (sqrt(76)*-1*1*-6)/(1*sqrt(4)*3 + (sqrt(20) + sqrt(20)*1)/sqrt(5)). 6*sqrt(19)/5 Simplify 6*1*(sqrt(475)*-1*-2 + (-2 + sqrt(475))*-2)**2. 96 Simplify -4*(1 + -1 + -3*(sqrt(1377) + 4))**2. -50148 - 2592*sqrt(17) Simplify (-6*5*(sqrt(2448) - (-2 + sqrt(2448))))**2 + (1 + -1 + sqrt(2448) + -6*(sqrt(2448) + 0))**2. 64800 Simplify 6*(1 + (-5 + 2*sqrt(500))**2 + 1). -1200*sqrt(5) + 12162 Simplify -1*sqrt(98)*3 + 2 + -5. -21*sqrt(2) - 3 Simplify 1 + (sqrt(5)*-1*-2 - (sqrt(60)/sqrt(2))/sqrt(6) - (-5*(sqrt(5) + 0) + 3)). -2 + 6*sqrt(5) Simplify (2*-6*sqrt(70)*2)/(sqrt(60)/(sqrt(6) - (2*sqrt(384) - sqrt(384)))). 168*sqrt(7) Simplify ((sqrt(18)*3*6*6)/(5*(-3*sqrt(441) - sqrt(9))))**2. 5832/3025 Simplify (-1*(sqrt(13) - (sqrt(13) + sqrt(39)/sqrt(3))) - -2*(sqrt(13) + 0) - (sqrt(104)/sqrt(2)*1)/sqrt(4))**2*3. 156 Simplify ((sqrt(68) - -1*sqrt(68)*-1) + (sqrt(68) - 2*sqrt(68))*3)/(sqrt(144)*-3). sqrt(17)/6 Simplify (6*3*(-3 + -6*((sqrt(1539) - (sqrt(1539) + 1)) + sqrt(1539)))*6)**2. -3779136*sqrt(19) + 646337232 Simplify (-4*((sqrt(500)*2 - sqrt(500)) + sqrt(500) + sqrt(500))**2 + (-5*sqrt(500)*-2 - sqrt(500)))*-2. -180*sqrt(5) + 36000 Simplify (-1 + ((sqrt(72) + 0 + sqrt(648) + sqrt(648) + 0)*5)**2)*-4. -352796 Simplify (3*(sqrt(152) + sqrt(152) + -2*sqrt(152)) + sqrt(152) + -1*sqrt(152)*-4)/(4*(sqrt(8) + -3*sqrt(128))). -5*sqrt(19)/44 Simplify ((0 + -3 + sqrt(125) + -4)*-5)**2*-4. -17400 + 7000*sqrt(5) Simplify -5 + 5*sqrt(104)/(sqrt(64)/sqrt(8)) + ((-1*sqrt(130))/sqrt(10))**2 + -2 + sqrt(325). 6 + 10*sqrt(13) Simplify 0 + (sqrt(72) + 0 + 2 - sqrt(72)*3*-6)**2. 456*sqrt(2) + 25996 Simplify 4 + -4 + (((-1 + sqrt(176))**2 + sqrt(176) + 5 - sqrt(176)) + (sqrt(176) - (-5*(sqrt(176) + -1))**2))*-3. -588*sqrt(11) + 12729 Simplify (5*((sqrt(15) - sqrt(150)/sqrt(10))*2)/(sqrt(48)*5 + sqrt(3)))**2. 0 Simplify 4 + ((sqrt(405) + sqrt(405) + -5 + (sqrt(405) - sqrt(405)*-3))**2 + sqrt(405))*3. -1593*sqrt(5) + 43819 Simplify 2*(sqrt(171)*-1 + 0) - -6*(-1 + 0 + sqrt(1216)). -6 + 42*sqrt(19) Simplify 2*((2*sqrt(171) - sqrt(171) - sqrt(171))/sqrt(9))**2 + -4 + (2*sqrt(76))**2. 300 Simplify 2 + -2 + -3*(-4*(0 + sqrt(1539)) + sqrt(1539) + sqrt(1539) + (sqrt(1539) - ((sqrt(1539) - (sqrt(1539) + (1 + sqrt(1539))**2) - sqrt(1539)) + -5))). -4635 - 54*sqrt(19) Simplify 3*sqrt(76)/(sqrt(4) + sqrt(484) + (sqrt(484) - (sqrt(484) + sqrt(484)*-3)) + sqrt(484) + sqrt(484) + sqrt(484))*-3. -3*sqrt(19)/26 Simplify (sqrt(105)/(sqrt(9)/sqrt(3)))/sqrt(5) + ((sqrt(7) - sqrt(896)/sqrt(8))**2 - (-2*-2*sqrt(7) - sqrt(7) - sqrt(7))**2). sqrt(7) + 35 Simplify (sqrt(425) - -4*(sqrt(425) + 3))**2 - (-2*sqrt(833) + 2). 614*sqrt(17) + 10767 Simplify 3*(3*(sqrt(17) + -1 + sqrt(17) + -5 + -2*sqrt(612)))**2 + -5. 3240*sqrt(17) + 46867 Simplify (3 + (5*sqrt(242)*-1 - 4*-2*sqrt(242) - ((1*sqrt(242) - sqrt(242)) + 1 + sqrt(242))*1))**2. 88*sqrt(2) + 972 Simplify (1*(-1 + sqrt(396)))**2 + 1 + (sqrt(44)/sqrt(4) - sqrt(11)) + 4*((-1*sqrt(11) - sqrt(11)) + sqrt(11))**2. -12*sqrt(11) + 442 Simplify 5 + (-2 + (-4 + sqrt(1584) - sqrt(1584)) + sqrt(1584) - (sqrt(1584)*-4 + 0))**2. -720*sqrt(11) + 39641 Simplify -5*(3 + (-1 + sqrt(931))*5 + sqrt(931) + (sqrt(931) + -3*(sqrt(931) + 1 + sqrt(931)) + sqrt(931))**2). -74515 - 1050*sqrt(19) Simplify -1*5*(1 + sqrt(19) + 2)*-6*6. 540 + 180*sqrt(19) Simplify -2 + -3*(sqrt(210)/(sqrt(7) + (sqrt(7) - sqrt(112) - sqrt(7))) + sqrt(30))/(-2*sqrt(1210)). -2 + sqrt(3)/11 Simplify (-5*sqrt(63) + sqrt(7) - -2*(-1 + sqrt(7)))**2 - (sqrt(9072) + 1*sqrt(9072) - sqrt(9072))/((sqrt(108)*1)/sqrt(12)). 36*sqrt(7) + 1012 Simplify (sqrt(208) - (sqrt(208) + 2*(sqrt(208) + (sqrt(208) - (sqrt(208) - sqrt(208)*-1)))))/((sqrt(16) + sqrt(144) - sqrt(16))*5)*6. 0 Simplify (6*1*(0 + (-2*sqrt(175) + sqrt(175) - sqrt(175))*3*5))**2. 5670000 Simplify (3 + sqrt(891) + -2 + sqrt(891) + sqrt(33)/(sqrt(18)/sqrt(150)))**2. 46*sqrt(11) + 5820 Simplify ((sqrt(288)*2)**2 - sqrt(18)) + (sqrt(72)/sqrt(4))**2 + ((sqrt(4) + sqrt(64))/sqrt(2) - sqrt(2)). sqrt(2) + 1170 Simplify ((sqrt(1188) - -2*(3*sqrt(1188) + sqrt(1188)))/(sqrt(88)/(-1*sqrt(1152))))**2. 1259712 Simplify (2 + sqrt(22)/((sqrt(8) + sqrt(2))*-1) + (-2*sqrt(132)*6)/((sqrt(96) - (2*sqrt(96) - sqrt(96)))/sqrt(8) - sqrt(12)))**2. 140*sqrt(11)/3 + 13511/9 Simplify sqrt(65)/((sqrt(60)/sqrt(3))/sqrt(4)) + sqrt(26)/(-2*sqrt(128)). 15*sqrt(13)/16 Simplify 3*4*((-1 + sqrt(2) + 0)**2 - (sqrt(2) + 3 + -5)) + 3. -36*sqrt(2) + 63 Simplify ((sqrt(270) - ((-2*sqrt(270) - sqrt(270))*1 - sqrt(270)))/sqrt(10))/(sqrt(45)/((-2*sqrt(10))/sqrt(2)))*6. -60*sqrt(3) Simplify 6*((-5*sqrt(1300)*2 + -1)*-6)**2*-4. -112320864 - 172800*sqrt(13) Simplify (-5*2*sqrt(11) + (sqrt(22)/sqrt(2))**2 + 4 + sqrt(11) + 1 + 1 + 2)*-4. -76 + 36*sqrt(11) Simplify ((-3 + sqrt(720)*-1)*-3 - -5*-5*sqrt(720)*1)**2. -4752*sqrt(5) + 348561 Simplify (sqrt(12) + (sqrt(972)*-1 - sqrt(972)) - sqrt(132)/(sqrt(44) + sqrt(11)))/(sqrt(36)/sqrt(81)*-4). 13*sqrt(3) Simplify (sqrt(13) - (sqrt(52) + -1))**2 - (sqrt(104) + -2*sqrt(104))/sqrt(8) - ((sqrt(1573) + sqrt(1573)*-2)*-3)**2. -14143 - sqrt(13) Simplify (sqrt(153) + (sqrt(153) + 2*sqrt(153))*6 + (1*sqrt(153)*5 + sqrt(153) + sqrt(153) - sqrt(153)))/(sqrt(99)/(sqrt(66)/sqrt(150))). 5*sqrt(17) Simplify 2*((sqrt(1331)*-2 - sqrt(1331))**2 - sqrt(1331)) - (sqrt(1331)*-4 + sqrt(1331) + 3)**2. 176*sqrt(11) + 11970 Simplify 1 + (3*sqrt(128)*-1 - (sqrt(128) + -1 + -1 + sqrt(128) + sqrt(128) + sqrt(128)))**2. -224*sqrt(2) + 6277 Simplify (-1*(sqrt(6) + sqrt(54)*-1))/(sqrt(72) - -5*-2*sqrt(72)). -sqrt(3)/27 Simplify sqrt(57)/((sqrt(6)*-1)/sqrt(2)) + sqrt(228)/(sqrt(48)/sqrt(4) + sqrt(12))
{ "pile_set_name": "DM Mathematics" }
2564 What is -3301110 (base 7) in base 14? -a7207 What is -1859 (base 11) in base 16? -93b -1030022202 (base 4) to base 8 -1141242 11113202300 (base 4) to base 2 101010111100010110000 What is 609ca (base 16) in base 5? 100130342 56956 (base 13) to base 9 260137 What is -53070 (base 9) in base 16? -88ef Convert -64912 (base 12) to base 3. -20201221112 -607667 (base 9) to base 3 -200021202021 What is -22754714 (base 8) in base 12? -17b8864 What is 3141142430 (base 5) in base 16? 647733 What is -1005622 (base 7) in base 5? -12312144 What is -1099 (base 13) in base 5? -33243 Convert -1e8665 (base 16) to base 7. -23001214 Convert -111110011101111111101 (base 2) to base 13. -568936 Convert 1010010110110100 (base 2) to base 10. 42420 Convert -622462 (base 7) to base 2. -11010000001001010 Convert 11c91 (base 13) to base 9. 50120 Convert -1101325 (base 7) to base 16. -20f35 -35025054 (base 9) to base 8 -100737720 bd7770 (base 14) to base 6 345540554 Convert 322506 (base 8) to base 5. 11422341 Convert -420323311 (base 5) to base 9. -3225784 -957ad (base 16) to base 15 -c162e What is 287ab (base 14) in base 9? 162532 -261121 (base 10) to base 2 -111111110000000001 Convert -10011111020 (base 3) to base 5. -3443242 Convert -2142120124 (base 5) to base 16. -46e0af What is -12100022212012 (base 3) in base 9? -5308765 -120220 (base 13) to base 4 -1220223223 Convert -2302130 (base 7) to base 5. -33131400 What is -647621 (base 8) in base 14? -59105 Convert -13590c (base 16) to base 9. -2342306 Convert 100101100011101101 (base 2) to base 5. 14410322 What is -838497 (base 16) in base 13? -1a2a1c3 Convert -20150205 (base 6) to base 3. -1002011122212 Convert 421121 (base 6) to base 4. 20102221 Convert -5642712 (base 8) to base 7. -15651426 What is -539a0 (base 13) in base 15? -2eb4c What is -11200202000120 (base 3) in base 2? -1001100001000010111101 10037 (base 14) to base 11 26999 -4536537 (base 9) to base 15 -3348da Convert -cd5601 (base 15) to base 14. -142b519 -10775641 (base 8) to base 2 -1000111111101110100001 Convert 2303122031 (base 4) to base 13. 1c963a What is 33b76 (base 12) in base 11? 47988 577560 (base 8) to base 6 4113320 56a6388 (base 11) to base 9 20688510 Convert 10360504 (base 7) to base 3. 1200010221211 -1122462 (base 11) to base 7 -22463115 What is -2930cd (base 16) in base 11? -1584173 Convert -1331130103 (base 4) to base 15. -a2391 2037662 (base 11) to base 6 205033300 Convert 35034412 (base 6) to base 11. 676a03 Convert -2b7b56 (base 14) to base 12. -613528 What is -4244375 (base 9) in base 16? -22b035 What is 2c351e (base 15) in base 8? 10116671 Convert -11401120 (base 5) to base 14. -2aaca Convert a15705 (base 15) to base 4. 131032303232 -653b7b (base 13) to base 7 -26136124 -132025104 (base 7) to base 16 -815a72 -101010111100010011 (base 2) to base 8 -527423 -3040405 (base 6) to base 13 -511a0 -110000011000011101 (base 2) to base 8 -603035 Convert -d5289 (base 15) to base 4. -2210323323 Convert -1063566 (base 8) to base 15. -5a7c0 -10011010101011111101 (base 2) to base 8 -2325375 Convert -2a48230 (base 11) to base 16. -4fb2cf -1264a10 (base 11) to base 10 -2188054 Convert 366243 (base 7) to base 10. 67014 -137041 (base 10) to base 2 -100001011101010001 -1471791 (base 10) to base 16 -16752f Convert -1400000021 (base 5) to base 9. -6547482 Convert -103420342 (base 5) to base 4. -1232030103 Convert 106444234 (base 7) to base 4. 120332320132 Convert 4805231 (base 9) to base 14. 4ba367 What is -324081 (base 9) in base 8? -571352 Convert 350445 (base 6) to base 15. 8d3b Convert -144333410 (base 5) to base 14. -163415 Convert 10110101111100010 (base 2) to base 3. 11201210011 Convert -3434857 (base 9) to base 10. -1853818 144412 (base 9) to base 2 10101100111100000 Convert 3a61bc (base 16) to base 3. 21012101102201 267770 (base 8) to base 14 26488 Convert 689c (base 13) to base 12. 859b Convert -1029d (base 16) to base 13. -24199 -179318 (base 10) to base 11 -1127a7 -37b9a (base 13) to base 12 -4b774 Convert 14c46 (base 16) to base 14. 22ddc Convert -41048 (base 10) to base 8. -120130 What is -8b535 (base 12) in base 16? -2d539 What is -94301 (base 11) in base 14? -38145 77839 (base 11) to base 4 123202232 1895928 (base 11) to base 10 3199512 What is -130100312 (base 4) in base 6? -2251542 What is -60b9 (base 16) in base 7? -132122 Convert -110c3b (base 13) to base 8. -1421014 -216067 (base 9) to base 16 -1f846 What is -16838 (base 13) in base 9? -65155 Convert 1284263 (base 10) to base 16. 1398a7 122108 (base 9) to base 4 101333312 Convert 8141673 (base 9) to base 15. 5aa56c Convert 10211112020011 (base 3) to base 10. 2037721 Convert -33b504 (base 12) to base 5. -203002221 -5b061 (base 16) to base 3 -200221102122 What is -2 (base 8) in base 12? -2 What is -2a61558 (base 11) in base 10? -5243477 What is 79bbc (base 14) in base 2? 1001000001111111010 What is -9a12 (base 14) in base 11? -19048 Convert -22a27 (base 11) to base 14. -c143 Convert -113223000201 (base 4) to base 15. -8289d3 Convert -1110101000000000000010 (base 2) to base 3. -21012210001202 What is -42a2891 (base 11) in base 5? -3413332421 Convert -17641 (base 13) to base 8. -127717 What is -1050434 (base 6) in base 14? -155d4 Convert 2213233122 (base 4) to base 8. 2475732 Convert -15023116 (base 7) to base 10. -1417681 430092 (base 14) to base 12 913894 -1003102 (base 10) to base 11 -625711 -11011010011011110000 (base 2) to base 13 -254315 Convert -14a656b (base 12) to base 6. -230003415 What is 860a0 (base 11) in base 3? 20100202221 Convert 32604 (base 14) to base 6. 2340232 What is -31376 (base 11) in base 8? -131204 Convert 18cc883 (base 13) to base 8. 37120434 -23323333012 (base 4) to base 2 -1011111011111111000110 What is 103525111 (base 6) in base 14? 3668cb What is 40511505 (base 6) in base 15? 17dbeb 1c5004 (base 13) to base 6 23312314 Convert -12105304 (base 6) to base 5. -44212331 -11754 (base 8) to base 6 -35340 What is 623061 (base 10) in base 5? 124414221 -13440223 (base 5) to base 15 -2b778 -27308 (base 14) to base 12 -47b10 Convert 22010022001 (base 3) to base 9. 263261 Convert -222ac32 (base 13) to base 12. -3613359 Convert 12121032 (base 4) to base 15. 7b60 What is -71559 (base 15) in base 8? -1275057 What is -70067 (base 10) in base 7? -411164 71004 (base 10) to base 3 10121101210 Convert -18ef7b (base 16) to base 3. -10002000122212 1005636 (base 8) to base 14 6c890 -b02250 (base 12) to base 16 -29d2dc What is -160808 (base 9) in base 12? -493bb Convert 135330431 (base 6) to base 7. 32426125 11011003003 (base 5) to base 10 11812878 What is -11110110011101000001110 (base 2) in base 9? -16167810 162530 (base 9) to base 15 1eac0 What is -345706 (base 10) in base 6? -11224254 33c1dc (base 14) to base 2 110101110001011110110 Convert 353006 (base 7) to base 10. 63461 Convert -1000021010 (base 3) to base 4. -10312203 Convert 1268709 (base 11) to base 13. 5ba254 Convert 2132243 (base 5) to base 9. 55146 100011001111111 (base 2) to base 3 220202102 Convert -10100100011010 (base 2) to base 7. -42451 Convert 10010101100111111 (base 2) to base 16. 12b3f Convert -1d70c (base 16) to base 10. -120588 What is -72078 (base 11) in base 12? -50a96 What is -112303302 (base 4) in base 12? -46096 What is 204100301 (base 6) in base 9? 6615731 What is 20254101 (base 6) in base 13? 175372 -120326664 (base 7) to base 10 -7469508 Convert -1000010111020 (base 3) to base 11. -335211 Convert 12021120222 (base 3) to base 10. 103949 What is 11186704 (base 9) in base 16? 52de6c What is 919707 (base 10) in base 5? 213412312 510db (base 15) to base 6 5300242 Convert 53460 (base 11) to base 15. 18083 Convert -1032722 (base 8) to base 10. -275922 -222424 (base 7) to base 9 -58834 Convert -252224 (base 6) to base 2. -101100000011000 What is 110133122 (base 4) in base 14? 22830 What is 10130018 (base 10) in base 16? 9a9262 -24230453 (base 6) to base 8 -2730241 27452315 (base 8) to base 7 103355411 Convert 1630677 (base 9) to base 13. 2594a4 What is -fe59 (base 16) in base 14? -19a2d What is 33761 (base 9) in base 6? 252044 What is -21332210 (base 4) in base 16? -9fa4 Convert -1d225b5 (base 14) to base 16. -ded9a3 Convert -145344340 (base 6) to base 13. -832a2b Convert 5a16 (base 14) to base 5. 1000300
{ "pile_set_name": "DM Mathematics" }
6*k + 2*k)*(-3 + 3 + 2)*(2*k**3 - 5*k**3 + k**3) as j*k**2 + d*k**4 + n + i*k**3 + t*k and give d. 4 Rearrange -5*s**2 - 2*s**2 + s**2 - 8*s**2 + 2 to the form a*s + b*s**2 + w and give b. -14 Rearrange -2*g**3 + 2 + 144*g**2 - 144*g**2 - 32*g**4 to a*g + d*g**2 + b + m*g**3 + p*g**4 and give d. 0 Express 20*k - 7*k - 5*k as m + i*k and give i. 8 Rearrange (0*k + 4*k + 4*k)*(-1 + 4 + 1) to o + w*k and give w. 32 Rearrange 7*a**4 - 10*a**4 + 5*a**4 - 3*a**3 + 5*a**2 to the form i*a**3 + h*a + r*a**2 + b*a**4 + c and give i. -3 Rearrange (1 + 1 - 3)*(-7 + 7 + 8*t)*(-2*t - t**2 + 7*t**2 + 4*t) to m*t**2 + w + p*t**3 + z*t and give p. -48 Rearrange -10 + 5*q - 6*q - 11*q**2 + 8 to the form v*q**2 + k*q + s and give v. -11 Rearrange (1 + 3 - 1)*(-4*y - y + 4*y - y + 0*y - y + (0 + 0 + y)*(-2 + 0 + 3) + 0*y - y - y)*(60 - 60 - 4*y) to the form w*y + s + t*y**2 and give t. 48 Rearrange 5*o - 3 + 2 + 11*o + 2 to k*o + c and give k. 16 Express -2*i**2 - 4*i**2 + 5*i**2 in the form o*i + f + h*i**2 and give o. 0 Rearrange 4*m**2 + 3*m**2 + 3*m - 7*m to d*m + b*m**2 + h and give d. -4 Express -6*a**2 + a**3 + 0*a**3 - 20 + 19 as i*a**3 + v*a**2 + b + j*a and give v. -6 Express (4 + 5 + 5 + 0 + 3 - 2 + 4 - 5 - 1 + 1 + 2 - 1 + 0 + 1 - 2 + (-3 + 4 - 2)*(2 + 0 + 0) - 1 + 2 - 3)*(2 - 2*c - 2) as k + f*c and give f. -20 Rearrange (-15 + 15 + 12*y)*(2*y**2 + 6 - 4*y + 4*y) to the form k*y**3 + f + z*y + l*y**2 and give z. 72 Express 174 - 174 - 120*w in the form t*w + m and give t. -120 Express 4*z**3 - 2 - 2*z**2 - 4 + 6 in the form d*z**3 + b*z + o + n*z**2 and give n. -2 Express 2 + 2*q**4 - 4 - q**3 + 0*q**3 - q**4 as z*q**2 + b*q**4 + m + s*q + r*q**3 and give m. -2 Express 0 - 2*c**2 + 4*c**2 - 4*c**2 + 1 as k*c**2 + n + i*c and give n. 1 Express (2*u - 2 + 3*u - 2*u)*(2 + 2 - 1) as n*u + z and give z. -6 Rearrange (4*t**2 - 4*t**2 - 3*t**2)*(7*t**2 - 42*t**2 - 35*t**2) to the form y + k*t + j*t**2 + h*t**4 + b*t**3 and give y. 0 Express (-g - g + g)*(-4 - 1 + 1)*(0*g + 0*g + g) in the form k*g**2 + t + x*g and give k. 4 Rearrange 10*z**2 - 38 + 38 to t*z + f*z**2 + u and give t. 0 Rearrange -s**2 - 1 + 6*s - 4*s**4 - 4*s**4 + s**3 + s**4 + 6*s**4 to n*s**3 + o*s**2 + b*s + l*s**4 + g and give l. -1 Rearrange -2 + 1 - 6 + s - 7 to v*s + z and give z. -14 Express (25*q**2 - 25*q**2 + 26*q**3)*(-2 + 1 + 2)*(-1 + 0 - 2) in the form w*q**2 + i*q + x*q**3 + n and give x. -78 Rearrange -27*i - 10*i + 56*i to the form j + k*i and give k. 19 Express 2 + 12*m**2 - 5*m**2 + m**3 - 6*m**2 + 5*m**3 as h + p*m**2 + g*m**3 + f*m and give h. 2 Rearrange 0*d - 7*d + 2*d to the form h*d + c and give h. -5 Express (1 - 3 + 4)*(-5*i**2 + 7*i**2 - 10*i**2) - 2*i**2 + 2*i**2 - 2*i**2 + (3 + 4 - 4)*(2 + i**2 - 2) in the form s*i**2 + g*i + k and give k. 0 Rearrange -160*v - 3 - v**2 + 160*v + 3*v**2 + v**4 - v**3 to u*v**2 + m*v**3 + x*v**4 + h + i*v and give x. 1 Express (2*h - 5*h + 2*h)*(-8*h + 6*h - h + (-2 + 4 - 1)*(4*h - 3*h + h) + (0*h + h + h)*(-2 + 2 + 1)) as k*h**2 + i + m*h and give k. -1 Rearrange -496*w**2 - 3*w + w**3 + 5*w**4 + 2 + 496*w**2 to q*w**4 + n + i*w**2 + t*w**3 + f*w and give t. 1 Express 6*v**3 - 3*v**3 + 6*v**3 + (-2*v + 0*v + v)*(0*v**2 + 4*v**2 - 5*v**2) - v**3 - 4*v**3 + 11*v**3 as c*v**2 + w + s*v + l*v**3 and give l. 16 Rearrange -34*u**3 + u - 1 - u + 27*u**3 to the form r*u**3 + w + t*u + q*u**2 and give w. -1 Express -3*n**3 - 26*n + 12*n + 15*n - 7 as c*n**3 + t + w*n + l*n**2 and give w. 1 Express (g - 2*g - 6*g)*(4 - 2 + 3)*(0*g - 2*g**3 - g + 0*g + g**2) in the form x + i*g**3 + b*g**2 + u*g**4 + r*g and give u. 70 Rearrange -7 + 2 + 7 - 3*a**3 to the form g + t*a**2 + d*a**3 + v*a and give g. 2 Rearrange -7*d + 0*d + 2*d + (-2*d - d + 0*d)*(2 - 2 - 2) + d - d + 4*d to the form y + w*d and give y. 0 Rearrange (-1 + 1 - 1)*(-5 - 6 - 3*n**2 + 2*n**2) to j*n + t + c*n**2 and give c. 1 Rearrange -22 + 22 - 47*t**2 to u*t**2 + p + a*t and give a. 0 Rearrange 21*m**2 - 2*m + 5*m**2 + 3*m - 9*m**2 to j*m + a*m**2 + p and give j. 1 Rearrange (-3*k + 0*k + 5*k)*(1 - 1 + 1)*(-k**2 + 2*k**2 - 2*k**2) to the form u + z*k**2 + g*k**3 + f*k and give g. -2 Express ((0 - 1 + 2)*(z + 1 - 1) + 0*z - 7*z + 10*z)*(-12*z - 3*z - 11*z) as v + m*z + q*z**2 and give q. -104 Express 3*i - 2*i + i + 0*i as m + s*i and give s. 2 Rearrange 5 - 4 - 15*w - 23*w + (w - w + w)*(-2 - 1 + 2) to the form r*w + z and give z. 1 Rearrange (0*y + 0*y + y)*(4 + 0 - 3)*(5 - 2296*y + 2298*y - 2) to j*y + i*y**2 + a and give j. 3 Rearrange (2*t + 2*t - 2*t)*(15 + 41 - 38)*(t - t + 3*t) to the form j*t**2 + l*t + i and give j. 108 Rearrange 12*m - 2*m**3 - 7*m + 9*m**3 - 2*m to c*m**2 + k*m + d*m**3 + o and give k. 3 Rearrange -1 + 3 - 5*u**3 + 3 + 4*u**3 to the form v*u**3 + t*u + i*u**2 + h and give h. 5 Express -88*x**2 - 57*x**2 + 88*x**2 as p*x + r*x**2 + g and give p. 0 Express (-2 - 4 + 5)*(10 + 8 - 9)*(5*d + 4 - 4) as p*d + a and give p. -45 Rearrange (-3*z + 5*z - z)*(-163 - 115 - 7) to the form p*z + m and give p. -285 Express -u**4 - 31*u**3 - 2*u**2 - 6*u - 4*u**4 + 29*u**3 as z*u + a*u**2 + y + h*u**4 + n*u**3 and give n. -2 Rearrange 5 - 5 - 10*b**4 + (0*b**2 + 0*b**2 + 2*b**2)*(b**2 + b**2 - 5*b**2) to the form u*b**2 + o*b + q*b**4 + v + w*b**3 and give q. -16 Express -37*t - 3 + 32*t + 3 - 24*t**2 as o*t**2 + z + r*t and give r. -5 Rearrange 17*q**3 - 7*q**3 - 4*q - 1 + 4*q to the form z*q**3 + n*q + f*q**2 + l and give z. 10 Express (22*h - 12*h + 11*h)*(0*h**3 + 3*h**3 - 4*h**3) as r*h**4 + w*h + z + i*h**3 + b*h**2 and give r. -21 Rearrange -4*d**2 - 2*d**3 + 2*d**2 + 0*d**3 + 6*d**2 to the form t + l*d**3 + y*d**2 + j*d and give y. 4 Express (-2*p**2 - 2*p + 2*p)*((0 - 1 + 0)*(-6 + 0 + 5) - 39 - 43 + 14) + 2*p**2 - p**2 - 3*p**2 as z*p + f + m*p**2 and give m. 132 Rearrange (-29*x**3 - 25*x**3 + 18*x**3)*((-6*x + 3*x + 4*x)*(0 - 1 + 3) - x - 3*x + x) to the form d*x + r*x**4 + h*x**3 + b + g*x**2 and give r. 36 Rearrange 69*l**2 + 3*l + 8*l**2 - l to n*l**2 + t + v*l and give n. 77 Rearrange (-f - 6*f**3 + f)*(-6*f - 2 + 5*f + 0*f) to the form x + j*f**2 + h*f**4 + l*f**3 + m*f and give m. 0 Express -10*p**3 - p**2 - 2*p**2 - 8*p**3 as m*p + x*p**3 + q + i*p**2 and give x. -18 Express (17 - 8 - 10 + 7*i)*(i + 9 - 9) in the form y*i + c + d*i**2 and give c. 0 Rearrange (-1 + 1 - 2)*(-3 - b + 3) + (6 - 15 + 3)*(5*b - 2*b - 4*b)*(4 + 1 - 3) to the form q + n*b and give n. 14 Rearrange (3*u**2 + 0*u**2 - 4*u**2)*(1 + 1 - 4)*(0*u**2 + 15*u**2 - 11*u**2) to r*u**4 + j + l*u + v*u**2 + d*u**3 and give r. 8 Express 1 - 2*w**4 - 20*w - 3*w**3 + 7*w**3 + 7*w - 3*w**3 as z + q*w**2 + t*w**4 + o*w + v*w**3 and give o. -13 Rearrange -4*z**3 + 2*z**3 - 7*z**2 - 17*z**2 to the form m*z + n + i*z**2 + k*z**3 and give k. -2 Rearrange -2*r + r**4 - 3*r**3 - 3*r + 4*r - 5*r**4 - 1 + r**2 to the form y*r + b*r**3 + w*r**2 + m*r**4 + l and give l. -1 Rearrange 237*v - 4 + 0*v**2 + 2*v**2 - 235*v to a*v + o*v**2 + b and give a. 2 Rearrange 5 - 2641*j + 2823*j - 5 + (2 - 2 + j)*(-4 + 5 - 2) to the form a + t*j and give t. 181 Express -145*j + 145*j + 21*j**2 in the form i + f*j + u*j**2 and give u. 21 Rearrange 2 + w**2 - 808*w + 2*w**3 + 814*w + w**2 to the form n*w + f*w**3 + k*w**2 + q and give q. 2 Express 2*d - 2 + 2 - 6*d + 3*d + 4*d + (-2*d + d + 2*d)*(0 + 1 + 1) + 2*d + 1 - 1 + 4*d + 0*d + 5*d + (3 - 2 + 0)*(1 - d - 1) in the form l*d + r and give l. 15 Rearrange -4*p**3 - 2 - 20*p + 17*p + 2 to the form l*p + z*p**2 + i + s*p**3 and give l. -3 Express 1767*d - d**3 - d**2 - 1767*d + 25 in the form p*d + a + y*d**2 + b*d**3 and give b. -1 Express (3*a**2 + a**2 - 6*a**2)*(-2*a + a + 2*a) + (3 - 3 + 2*a)*(2*a**2 + 2*a - 2*a) as d + o*a**2 + w*a**3 + b*a and give w. 2 Rearrange (3 - 4 + 4)*(4*t**2 - 3*t**2 - 2*t**2)*(0 + 2*t + 0) to the form j*t**2 + g + n*t + p*t**3 and give p. -6 Express -12*w**2 - 1 + 2 + 14*w**2 - 2*w + 4*w**3 + w**3 in the form d*w**2 + q*w + n + s*w**3 and give q. -2 Express -13*y**2 + 56*y + 38*y**2 - 57*y in the form v*y + w*y**2 + l and give l. 0 Express 0*y**2 + 0*y**2 + 2*y - y**2 + 4*y**2 as s*y + n + o*y**2 and give n. 0 Express (4*a - 2*a + 0*a)*(-4 - 8 - 7) - 2*a + 0*a - 7*a as k + r*a and give r. -47 Express (44 + 10*n - 44)*(0 + 0 - 2*n)*
{ "pile_set_name": "DM Mathematics" }
of t and y? 20 Suppose -p - 2051 = 4*b, p - 2*b - b = -2016. Let q = p - -10218/5. Calculate the common denominator of -74/3 and q. 15 Find the common denominator of 40/(-4)*143/65 and -109/14. 14 Let x(r) = -3*r**2 + 43*r + 32. Let j = 40 + -9. Calculate the smallest common multiple of x(15) and j. 62 Suppose -4*q + a + 39 = -5, 5*q = -a + 55. Suppose -6*v + 107 = q. Calculate the smallest common multiple of v and 8. 16 Suppose -5*k - r = -335, k = -r + 41 + 22. Let w(u) = -u**3 - 6*u**2 - 6*u + 1. Calculate the smallest common multiple of w(-5) and k. 204 Let n(j) = -j**2 - 5*j + 3. Let l be n(-4). Suppose -3*g + l*g - 36 = 0. Suppose 0 = c - 1 - 2. What is the smallest common multiple of c and g? 9 Let u = -18064 + 12062. Let a = u - -54092/9. Find the common denominator of (74/6)/((-4)/6) and a. 18 Let c = 16 + -32. Let g = c - -21. Let f = 12 + -4. What is the lowest common multiple of f and g? 40 Let n(p) = 4*p**3 + 19*p**2 - 21*p + 27. Let z be n(13). What is the common denominator of (-6)/(-10) - z/1380 and 83/4? 12 Let t = 44711/22 - 2034. What is the common denominator of 5995/(-550) - (8/(-10))/(-1) and t? 110 Let i(p) = 25*p + 118. Calculate the least common multiple of 36 and i(-4). 36 Suppose 4*q - 82 = 2*q. Let a = -35 + q. What is the lowest common multiple of 16 and a? 48 Let z be (-8)/4 - (-87 - -3). Suppose 4*h - 5*m = z, -3*m - 31 + 79 = 3*h. What is the lowest common multiple of 16 and h? 144 Let q = -168631/15 - -11248. Find the common denominator of ((-2)/4)/1*259/(-14) and q. 60 Suppose 5*g + 2*d + 54 = 377, 2*g + 5*d - 125 = 0. What is the smallest common multiple of g and 104? 520 What is the smallest common multiple of (-4794)/(-75) + 42/525 and 4? 64 Suppose 0 = -37*t + 31*t + 132. Calculate the lowest common multiple of t and 14. 154 Suppose 2*i - 30 = -3*d + 21, 0 = i - 5*d - 45. Let w(t) = 4*t**2 + 31*t + 38*t + 29*t - 102*t + 5. Calculate the lowest common multiple of w(1) and i. 30 Suppose u - 12 = 5*l, 4*u - 10*l + 11*l - 48 = 0. Calculate the least common multiple of 8 and u. 24 Suppose -19*i + 80 = -72. Calculate the lowest common multiple of 902 and i. 3608 Suppose -2*b + 5*s = -47, 37 = 3*b - s - 27. What is the lowest common multiple of b and 60? 420 Suppose 6*c = 4*c + 1254. Let i = 12523/20 - c. What is the common denominator of -77/8 and i? 40 Let b = -12321185/2128 - -109683/19. Let l = b - -189/16. What is the common denominator of 2 - 63/15*-2 and l? 35 Let u be (603/2 - 3) + (5 - 2). Let z = -309 + u. What is the common denominator of 26/(-28) - 12/42 and z? 14 What is the lowest common multiple of (-2090)/(-65) + -5 + 4/(-26) and 225? 675 Let r = 5231861/60 - 87200. What is the common denominator of r and 24/11? 660 Let r = -255407/391 + 10588/17. Let b = r - -28489/920. Find the common denominator of 49/8 and b. 40 Calculate the common denominator of -13/10 and 2/(-12) + 32/84. 70 Let i(w) = -8 - 2*w + 6*w - 6*w. Let g be i(-6). Suppose -2*d - 4 = 5*y - y, 0 = g*d + y - 13. What is the lowest common multiple of d and 2? 4 Let w = 0 - -5. Suppose 3*g - 2*m = 47, -g = m + w - 19. Find the common denominator of (-9)/6*485/g and 93/8. 8 Let r be (-16)/(-4) + (-8 - 0 - 0). What is the least common multiple of 3 + 20 + r/4 and 16? 176 Let y = 741 - 733. Calculate the least common multiple of y and 332. 664 Let a = 363/19 - 12910/627. Find the common denominator of a and -19/12. 132 Let q = 647637263073/115720 - 55965919/10. Let y = q - 15/2104. Let s = -43/115 - -223/92. What is the common denominator of s and y? 220 Let y = 3 - 2. Let c(a) = -2*a + 14. Let i be c(6). Calculate the smallest common multiple of y and 148/8*i/(-3)*-3. 37 Let l be -2 + -35 - -2 - 0. Let p = -59 - l. What is the common denominator of 106/3*p/(-128) and 13/2? 8 Suppose f - 16 = -4*q, f + 2 + 0 = 2*q. Suppose 0 = -5*c + 10. Suppose c*w = -2*x + 6, 5*w + 2*x = -0*x + 30. What is the lowest common multiple of w and f? 8 Let z(m) = -4*m - 14. Let v be z(-4). What is the common denominator of 11/12 and (-3)/v*57/(-72)? 48 Suppose 0 = m - 5, 2*i + 3*i + 20 = 5*m. Let n = -2 - -7. Let h = n - 2. Calculate the lowest common multiple of h and i. 3 Let j(m) = -m**2 + 7*m - 7. Let b be j(6). Let p be (b/(-6))/(35/(-286083)). Let u = -1353 - p. Find the common denominator of u and -41/12. 60 Suppose -3*i - 5*k - 16 = 0, -4*i - 4*k + 0*k - 24 = 0. Let w(l) = -l**3 - 6*l**2 + 7*l + 10. What is the smallest common multiple of 16 and w(i)? 80 Let q = -852 - -7688/9. What is the common denominator of q and -73/189? 189 Suppose -20*f - 18*f = -19760. What is the smallest common multiple of 40 and f? 520 Let f = 1/1794 - -30046/6279. Calculate the common denominator of f and -23/4. 28 Let u = -12 - -20. Suppose 5*n + 7 - 2 = 0. What is the smallest common multiple of -2 + 5 - n - (0 - -2) and u? 8 Let r be 1/((-21)/(-11) + -2). Let q = 31 + r. What is the lowest common multiple of q and ((-6)/4)/(30/(-280))? 140 Calculate the common denominator of 1/72 and (-7)/231*6*130/(-12). 792 Find the common denominator of -50/9 and ((-954)/(-1272))/(1 + 845/(-296)). 549 Suppose 5*b + j = 395, -4*j = -b - 4*b + 420. What is the smallest common multiple of 6 and b? 240 Let g be (-18 - -8)/((-1)/3). Suppose 3*i = -2*i + 5*j + g, -4*i + 24 = 4*j. Find the common denominator of 71/8 and (243/84)/(i/12). 56 Suppose 0 = d + 2*d. Suppose 5*l + 5*s = 20, d*l = 4*l - 5*s - 52. Find the common denominator of l/256*(1 - -76) and -63/8. 32 Let g(u) = u**3 + 11*u**2 + 14*u + 44. Calculate the smallest common multiple of g(-10) and 208. 208 Let f = -1258 + 1442. What is the lowest common multiple of f and 92? 184 Let y be ((-2)/3)/((-12)/(-162)). Calculate the common denominator of 64/y + -3 - -4 and 99/4. 36 Suppose 6*o = 3*o + 2*j + 750, 2*o + 2*j = 510. Calculate the smallest common multiple of o and 324. 2268 What is the common denominator of 3/(-5) + 2 + (-119)/(-140) and 48/271? 1084 Suppose -3*w = -5*k + 67, 4*w - 2*w + 53 = 5*k. What is the common denominator of -39/2 and 7/w*74/(-18)? 18 Suppose 73*v = 13*v + 120. What is the least common multiple of v and 6766? 6766 Let f(d) = -d + 81. What is the least common multiple of f(-3) and 14? 84 Suppose 4*x + 17*p - 16*p = 425, -3*p + 540 = 5*x. What is the smallest common multiple of 30 and x? 210 Suppose 0 = 5*a - 10, -d + a = 2 - 6. What is the least common multiple of d and 6? 6 What is the least common multiple of 24 and (8 - (-203)/14)/((-6)/(-8))? 120 Let p be (-1)/2 + (-34)/(-4). Calculate the common denominator of (-2496)/(-1014)*(-1)/(-2) and (-1 - p/(-3)) + 1. 39 Let l(j) = 134*j - 10. Let i(x) = -27*x + 2. Let o(f) = -11*i(f) - 2*l(f). What is the least common multiple of o(2) and 8? 56 Let h = -1422 - -2820. Calculate the lowest common multiple of h and 16. 11184 Let s(g) = -2*g - 1. Let k be s(-6). Let y(n) = -n**2 + 13*n - 14. What is the smallest common multiple of y(k) and 10? 40 Let u = -6952163/6120 - -19305/17. Calculate the common denominator of u and 71/2. 360 Let z be ((-4)/14)/(8/410014). Let l = 14651 + z. Find the common denominator of (-2)/14 + (-1897)/784 and l. 112 Let c = -6668923/108 + 61750. Calculate the common denominator of -16/297 and c. 1188 Let h = -1880 + 4025. Let g = h - 4389/2. Calculate the common denominator of g and 3/10. 10 Let i = -8851/4260 + -2/355. Let x = 18415/33 + -558. What is the common denominator of i and x? 132 Let c = 19 + -13. Let j(x) = -c + x - x - x**2 + 8*x + 2*x. Calculate the least common multiple of 2 and j(8). 10 Let i(o) = -7*o**3 - o**2 - o - 1. Suppose -10 - 2 = t. Let k be (-7 + 3)*(-3)/t. What is the smallest common multiple of i(k) and 5? 30 Let d = 1/7418 - 72328/18545. Calculate the common denominator of d and (-268)/6*(-1)/(-6). 90 Let f be 5932 + (5 - (6 - 3)). Let o be 237486*(-2 - 243/(-120)). Let u = f - o. Calculate the common denominator of u and -87/22. 220 Let a be (3 - 2)/(12/4863). Let w = -402 + a. Calculate the common denominator of 75/4 and w. 4 Let z = -15154 - -833493/55. Find the common denominator of z and -123/20. 220 Suppose -9*z = -122 - 58. Let f(n) = 3*n + 2*n - 2*n - 11. Calculate the smallest common multiple of z and f(9). 80 Let l = -1965560/63 - -62397/2. Find the common denominator of l and 35/72. 504 What
{ "pile_set_name": "DM Mathematics" }
the nearest ten thousand? -40000 Let o be (-1567 + -2)/(6/(-32)). Suppose -t - 28268 = -o. Round t to the nearest one thousand. -20000 Let w = -85.733 + 0.633. What is w rounded to the nearest integer? -85 Suppose -2*t + 328015 = -5*o - 5*t, 2*t + 10 = 0. Round o to the nearest ten thousand. -70000 Suppose 17826 = 4*i - 123774. Round i to the nearest one thousand. 35000 Suppose n = -2*n. Suppose 3*k - 1726023 - 3583977 = n. Round k to the nearest one hundred thousand. 1800000 Let q(f) = -f**2 - f + 3. Let a be q(0). Suppose 2*z = -5*d, -z + 3*z - a*d = 0. Suppose 0 = -4*u - m + 20399997, z*m - 3 = m. Round u to the nearest 1000000. 5000000 Let g(n) = -678*n**3 + 2*n**2 - 2*n + 7. Let h(w) = -w**2 - w - 1. Let z(t) = g(t) + h(t). Let x be z(3). Round x to the nearest one thousand. -18000 Let k = 7728 - 7365.3. Round k to the nearest 10. 360 Let g = -632.1224 - -632. What is g rounded to 3 decimal places? -0.122 Let a = -0.05217 + 478.25217. Let z = 528 - a. What is z rounded to the nearest 10? 50 Let v = 1686573.924 + -1694718.65927. Let t = v + 8033.734. Let y = t - -111. What is y rounded to 4 decimal places? -0.0013 Let f = -33.066 + 33. Let u = f + 0.002. Round u to 2 decimal places. -0.06 Let z = 100 - 109.3. Let n = -6 - z. What is n rounded to the nearest integer? 3 Suppose -l - 3 = -4. Let a be (-13376)/133 - l/7*-4. Round a to the nearest one thousand. 0 Suppose p - 4*k + 3*k = 0, -12 = -2*p - 4*k. Suppose 5*m = 4*i + 3535, 7*i = p*i - m - 4455. Round i to the nearest one hundred. -900 Suppose -5*k = 2*h + 50 - 2, -3*h + 43 = -4*k. Let y(u) = -601*u**3 - 9*u**2 + 10*u. Let d be y(k). What is d rounded to the nearest 100000? 600000 Let c = 0.1124 + -0.17. What is c rounded to three dps? -0.058 Let x = -2168486 + 5848486. Round x to the nearest 100000. 3700000 Let y = 5622.7486 - 5628.2. Let p = y + 0.0814. Let v = -0.13 + p. What is v rounded to the nearest integer? -6 Let i = -18.94 + 19. Let j = -40 - -39.95. Let z = j + i. Round z to one decimal place. 0 Suppose -9 = 4*w + 15. Let y be 2/(-9) + 23400022/18. Let d be y + 0 - (w - -7). What is d rounded to the nearest one million? 1000000 Let o = -0.051386 - -0.05604. Round o to three dps. 0.005 Let k = -1693 + 1180. Let f = 513.000387 + k. Round f to five decimal places. 0.00039 Let t = 40 - 33.2. Let m = 0.3 + 0. Let g = m - t. What is g rounded to zero decimal places? -7 Let n(f) = 58770*f - 620. Let z be n(-4). What is z rounded to the nearest 100000? -200000 Let b = 1351 + -1351.971. Round b to one decimal place. -1 Let n = 6.991 + -7.33. Let l = n - -174.339. Let m = -174.0141 + l. What is m rounded to 3 dps? -0.014 Let c = -0.79 + 0.8. Let u = c - 0.04. Let q = u - -0.030035. Round q to five decimal places. 0.00004 Let p = -4.449 + 4.2. What is p rounded to 2 decimal places? -0.25 Let y = 2710 - 1861. Let r be y*4/12*-2. Let w be r*4/(-8)*-10. What is w rounded to the nearest 100? -2800 Suppose -16 = 8*b - 4*b, u + 4*b = 37799984. Suppose -6*p + u = -0*p. Round p to the nearest 1000000. 6000000 Let d = -568.6 + 106. What is d rounded to the nearest 100? -500 Let c = -2.209 + 0.2. Round c to 2 dps. -2.01 Let b(u) = -2*u**2 + 3*u + 342000. Let o be b(0). What is o rounded to the nearest ten thousand? 340000 Let p = -0.04485 + 0.0588. Round p to three decimal places. 0.014 Let v = -86 + 86.00045. What is v rounded to 5 decimal places? 0.00045 Let r(i) = i**3 + 25*i**2 + 26*i + 44. Let d be r(-24). What is d rounded to one decimal place? -4 Let c = 8050534 + -8050533.90000078. Let s = -0.1 + c. What is s rounded to 7 decimal places? -0.0000008 Let m(v) = -136*v**3 - 17*v**2 - 7*v - 10. Let k(y) = 18*y + 5. Let q be k(-1). Let h be m(q). What is h rounded to the nearest one hundred thousand? 300000 Let a = -5317 + 25097. What is a rounded to the nearest one thousand? 20000 Suppose 5*g + 12 = g. Let b(k) = -3120166*k - 9. Let t be b(g). Let s = -439511 - t. Round s to the nearest one million. -10000000 Let n = 117556853048682.81000296 - 117556858873545. Let o = 5824862 + n. Let g = o - -0.19. Round g to 7 dps. 0.000003 Let a = -465 - -546.5. Round a to the nearest integer. 82 Let x = -59 + 57. Let o(l) be the second derivative of -1350*l**3 - l. Let w be o(x). What is w rounded to the nearest 1000? 16000 Let v = -27 - 11. Let w = 4186240 - 4186277.999997. Let a = v - w. Round a to 5 dps. 0 Let n = 502828.000036 - 502811. Let q = -16.933 + -0.067. Let s = q + n. Round s to five decimal places. 0.00004 Let f = -33674 - -473394. Suppose v - 424946 - 434774 = 0. Let d = v - f. Round d to the nearest one hundred thousand. 400000 Let k = 426 - -7634. Round k to the nearest 1000. 8000 Let d(b) = -b**3 - 3*b**2 + b + 3. Let c be d(-3). Suppose 4*u - 826727 + 206727 = c. Round u to the nearest ten thousand. 160000 Let t = -380954481.646000183 - -380954482. Let b = 0.354 - t. Round b to seven decimal places. 0.0000002 Let f be 2 - (-38599*16788)/6. Suppose j = 2*c - f, 4*c - 4*j = 2*c + 108000016. Round c to the nearest one million. 54000000 Let u = -70 + 50. Let q = u - -22.6. Let f = -0.4 + q. What is f rounded to the nearest integer? 2 Suppose -2*c - 7 = -3, -3*p + 3*c = -42600024. Suppose -2*o + x - 10649998 = -5*o, -4*o + 3*x = -p. What is o rounded to the nearest 100000? 3600000 Let r = -0.077 + 0.191. Let q = r - -98.886. Let y = -98.897 + q. What is y rounded to two dps? 0.1 Let a = 9 - 18. Let q(y) = -y**3 - 8*y**2 + 11*y - 2. Let k be q(a). Let s be (-5)/(k/(-2520012)) - -3. What is s rounded to the nearest one hundred thousand? -600000 Let a = -24 - 11. Let m = a - -26. Let p = -9.00000043 - m. What is p rounded to 7 decimal places? -0.0000004 Let n = -106 - -426. Let d = 320.00000209 - n. Round d to 7 decimal places. 0.0000021 Let i = 22 - 21.93. Let f = i + -0.23. Let c = -0.1599993 - f. Round c to 6 dps. 0.000001 Let m = 1066 + -1572. Let y = m + 508.81. What is y rounded to one decimal place? 2.8 Suppose 0 = -2*p + 12 - 6. Suppose 0 = p*u + u - 392. What is u rounded to the nearest ten? 100 Let c = -7802419.15799809 + 7802419. Let d = 0.158 + c. What is d rounded to 7 dps? 0.0000019 Let p = 603507 + -910507. What is p rounded to the nearest 10000? -310000 Let w be (-5)/(-120)*-4 + 369543/18. What is w rounded to the nearest one thousand? 21000 Let i(o) = -2*o**2 - 2*o + 7. Let x be i(-3). Let f = x + -1. Let m be f + 5 + -1 - -85002. Round m to the nearest ten thousand. 90000 Let f = 0.0712814 - 0.131294. Let i = f + 0.06. What is i rounded to six decimal places? -0.000013 Let v = -64 - -96. Let f = -31.977 + v. Let a = -0.02 + f. What is a rounded to two decimal places? 0 Suppose 0 = 6*x - 20499 - 381. Round x to the nearest 100. 3500 Let u = 1077 - 1076.9665. Round u to 2 dps. 0.03 Let m = -0.155 + -67.845. Let d = m + 68.5. What is d rounded to the nearest integer? 1 Let v = 1.655 + -1.6535. Round v to three decimal places. 0.002 Let n = 19 + -10. Let h = 8.3 - n. Let c = h - 0.1. What is c rounded to zero dps? -1 Let c = 37.5 + -24. Let i = c - -2.3. What is i rounded to the nearest integer? 16 Let g = -386 - -386.00004725. Round g to five dps. 0.00005 Let z = 123974.9 - 111928. Let i = 12048.26254 - z. Let g = i - 1.36. What is g rounded to four dps? 0.0025 Let q be (-16)/(-3)*(-4 - -1). Let f = q - -16. Suppose f = 5*a - 84029 - 145971. Round a to the nearest 10000. 50000 Let u = -14972359.5600057 + 14972361. Let z = u - 1.44. What is z rounded to 6 dps? -0.000006 Suppose 3*x + 24 = 15. Let c be (281297/x)/((-8)/696). Suppose d = 1942387 + c. Round d to the nearest 1000000. 10000000 Let h = -15564120.8599899 - -15564120. Let d = -0.86 - h. What is d rounded to 6 decimal places? -0.00001 Let x be 1 - -4 - 6/((-48)/8471960). What is x rounded to the nearest ten thousand? 1060000 Let i(s) = -501667*s + 2. Let y = 29 + -44. Let u be 5/(y/(-2))*9. Let z be i(u). What is z rounded to the nearest one hundred thousand? -3000000 Let z = 195 - 194.999895. What is z rounded to 4 decimal places? 0.0001 Let k(b) = -55*b + 135. Let i be k(-13). Round i to the nearest 100. 900 Let o = 24 - 12. Let c = 20 - o. Let w = c - 8.000014. What is w rounded to 5 decimal places? -0.00001 Let x = -4014 - -4007.068. What is x rounded to the nearest integer? -7 Suppose 3*l - 58505 = -3*y - 2*y, -
{ "pile_set_name": "DM Mathematics" }
o the nearest 10? 3810 Round -0.0016682288 to four decimal places. -0.0017 What is -0.211674 rounded to 2 dps? -0.21 Round -0.0000685501 to six decimal places. -0.000069 What is 45174240 rounded to the nearest ten thousand? 45170000 Round 0.000001413131 to seven decimal places. 0.0000014 Round -0.2755052 to four decimal places. -0.2755 Round -1.37432 to one dp. -1.4 Round -0.000069376198 to six decimal places. -0.000069 Round 30.99249 to 2 decimal places. 30.99 Round 0.000335246 to five dps. 0.00034 Round -742692.76 to the nearest 100000. -700000 What is -0.010954021 rounded to four dps? -0.011 What is 13979.3 rounded to the nearest one thousand? 14000 What is 0.1409914 rounded to four decimal places? 0.141 What is 3.6933259 rounded to 2 decimal places? 3.69 Round -2626.4 to the nearest ten. -2630 What is -66.15799 rounded to 0 decimal places? -66 Round 0.0775964 to 4 dps. 0.0776 What is 4.12565 rounded to three dps? 4.126 What is -1.225221 rounded to three decimal places? -1.225 Round 5.01096 to two dps. 5.01 Round -121.4329 to one dp. -121.4 What is 169700.59 rounded to the nearest 100? 169700 Round 0.00571592 to 5 decimal places. 0.00572 Round 6128500 to the nearest 100000. 6100000 Round -6.3811 to 0 decimal places. -6 Round -324981 to the nearest 100000. -300000 Round -2.0146 to one decimal place. -2 What is -0.03158582 rounded to 2 dps? -0.03 Round 46146554 to the nearest 1000000. 46000000 Round -0.00080211 to four dps. -0.0008 What is -6.456441 rounded to two dps? -6.46 Round -101.22955 to the nearest 10. -100 Round -0.5732967 to one dp. -0.6 Round 0.2180945 to 4 decimal places. 0.2181 What is 32823.33 rounded to the nearest ten? 32820 Round -11.5379474 to the nearest integer. -12 What is 0.105919 rounded to 2 decimal places? 0.11 Round 2.4669974 to 3 decimal places. 2.467 What is 0.32364 rounded to 0 dps? 0 What is -0.00001335169 rounded to seven dps? -0.0000134 What is -0.01374833 rounded to 3 decimal places? -0.014 What is 0.086986237 rounded to four decimal places? 0.087 Round -29928.63 to the nearest 10. -29930 Round -30959572 to the nearest ten thousand. -30960000 What is 0.044716431 rounded to five dps? 0.04472 What is -128.10783 rounded to the nearest ten? -130 What is 0.02840777 rounded to 4 dps? 0.0284 What is 0.00001799162 rounded to 6 dps? 0.000018 Round 8184201 to the nearest 10000. 8180000 Round -141447290 to the nearest one million. -141000000 What is -0.001400299 rounded to four dps? -0.0014 Round -0.038837028 to 5 decimal places. -0.03884 Round -0.00000034369 to 7 decimal places. -0.0000003 What is 376680.2 rounded to the nearest 100000? 400000 Round -179.5505 to one decimal place. -179.6 What is 503612 rounded to the nearest 10000? 500000 What is 2721.815 rounded to 0 dps? 2722 Round -2.386521 to one dp. -2.4 What is -204.355 rounded to the nearest ten? -200 What is -15271360 rounded to the nearest one hundred thousand? -15300000 What is -305842 rounded to the nearest 1000? -306000 What is 115773.36 rounded to the nearest one thousand? 116000 Round 78.867 to 0 decimal places. 79 What is 6.1292209 rounded to the nearest integer? 6 What is 0.00000711238 rounded to six decimal places? 0.000007 Round 7.49265 to 1 decimal place. 7.5 What is -0.03157269 rounded to two dps? -0.03 What is -7.096 rounded to 2 decimal places? -7.1 Round 33723200 to the nearest 100000. 33700000 What is 0.00000407479 rounded to seven dps? 0.0000041 What is -0.0001099368 rounded to seven dps? -0.0001099 What is 0.0277831 rounded to two dps? 0.03 What is -0.0000242175 rounded to six dps? -0.000024 Round 0.00000250172 to 7 decimal places. 0.0000025 Round 0.0000077902 to 7 dps. 0.0000078 What is -0.0001881949 rounded to 5 decimal places? -0.00019 Round 111425.5 to the nearest 1000. 111000 Round -0.0026210581 to five dps. -0.00262 Round 3.1010499 to 1 dp. 3.1 Round -33846200 to the nearest 1000000. -34000000 What is 0.9636736 rounded to one dp? 1 Round -0.05403625 to 4 dps. -0.054 Round -61.66279 to two decimal places. -61.66 Round 239497000 to the nearest one million. 239000000 Round -84685040 to the nearest one hundred thousand. -84700000 Round -0.00018101892 to 5 dps. -0.00018 What is 78810114 rounded to the nearest 100000? 78800000 What is 686691.94 rounded to the nearest 100000? 700000 Round -777045 to the nearest ten thousand. -780000 What is 0.8617964 rounded to one decimal place? 0.9 Round 0.236836 to three dps. 0.237 Round -112.9868 to the nearest ten. -110 What is -0.123785 rounded to one decimal place? -0.1 Round 3551437 to the nearest one hundred thousand. 3600000 What is -0.605341 rounded to three dps? -0.605 Round 0.000121530895 to six decimal places. 0.000122 Round 4.9218 to the nearest 10. 0 Round 0.000123689 to four dps. 0.0001 What is 7.29204 rounded to zero dps? 7 Round -0.000000987969 to 7 decimal places. -0.000001 Round -472.95576 to one decimal place. -473 Round -0.00897155 to three decimal places. -0.009 What is -4.86511 rounded to the nearest integer? -5 Round -0.17084891 to 2 dps. -0.17 Round 0.000000401339 to 7 dps. 0.0000004 Round -0.000000473182 to 7 decimal places. -0.0000005 Round -0.003375651 to four dps. -0.0034 Round -0.000022330613 to seven dps. -0.0000223 What is -68.365031 rounded to the nearest ten? -70 What is 0.0000112193 rounded to six decimal places? 0.000011 Round 0.00000072006 to 7 dps. 0.0000007 Round -9623.3 to the nearest 100. -9600 Round -0.00000697267 to six decimal places. -0.000007 What is -0.572857 rounded to 2 decimal places? -0.57 What is 0.0011355957 rounded to 6 decimal places? 0.001136 What is -52122.576 rounded to the nearest one hundred? -52100 What is -7.30236 rounded to 1 decimal place? -7.3 What is -0.275496 rounded to two decimal places? -0.28 What is 0.00008990835 rounded to six dps? 0.00009 Round -0.0008995667 to six decimal places. -0.0009 Round -49.977477 to 0 dps. -50 What is -0.30102 rounded to one decimal place? -0.3 What is -138058 rounded to the nearest ten thousand? -140000 Round -104478.6 to the nearest 10000. -100000 Round 0.00004040973 to 7 dps. 0.0000404 Round 8272785.2 to the nearest one hundred thousand. 8300000 Round 21222.5 to the nearest one thousand. 21000 Round -1505.0747 to the nearest ten. -1510 Round -0.0001503251 to 7 dps. -0.0001503 Round 41892630 to the nearest 10000. 41890000 What is -4.327957 rounded to two decimal places? -4.33 Round 5.2287 to 2 decimal places. 5.23 Round 4762.57 to the nearest 1000. 5000 What is -0.0000115417 rounded to seven dps? -0.0000115 Round 1.848035 to one decimal place. 1.8 Round -0.28437721 to 4 dps. -0.2844 What is -1677.601 rounded to the nearest 100? -1700 What is -0.04089682 rounded to 4 decimal places? -0.0409 What is 0.00170877276 rounded to four decimal places? 0.0017 Round 4925118.2 to the nearest 1000. 4925000 Round -6.514025 to three decimal places. -6.514 Round 45444893 to the nearest 10000. 45440000 What is -397.33 rounded to the nearest one hundred? -400 What is 0.021514271 rounded to 6 dps? 0.021514 What is -63212 rounded to the nearest 10000? -60000 What is 0.5784528 rounded to 2 decimal places? 0.58 What is 0.0001540532 rounded to 6 decimal places? 0.000154 Round 0.0024132161 to four decimal places. 0.0024 Round 0.14916973 to four decimal places. 0.1492 What is -901.8613 rounded to 0 dps? -902 What is 0.005908938 rounded to three decimal places? 0.006 Round -5946.02 to the nearest 100. -5900 What is 0.00022318871 rounded to 7 decimal places? 0.0002232 Round 0.00063426 to 5 decimal places. 0.00063 Round -0.005982219 to three decimal places. -0.006 What is -28926.252 rounded to the nearest one thousand? -29000 What is -0.1938849 rounded to 2 decimal places? -0.19 What is 0.00023201014 rounded to 7 dps? 0.000232 What is -155967000 rounded to the nearest 100000? -156000000 Round 9905.36 to the nearest 1000. 10000 Round 101451500 to the nearest 1000000. 101000000 Round -0.000001656617 to 6 dps. -0.000002 Round 0.00001664041 to six decimal places. 0.000017 Round 0.0013210325 to five dps. 0.00132 What is -39518550 rounded to the nearest 100000? -39500000 Round -57216 to the nearest one hundred. -57200 What is -0.001071956 rounded to five decimal places? -0.00107 What is 117.243 rounded to the nearest 100? 100 Round 0.71780
{ "pile_set_name": "DM Mathematics" }
) 3/5 (e) 1/5 d What is the second biggest value in -0.077, -11/5, -2, 5, -4, 1/2? 1/2 What is the second smallest value in -4, -0.2, -72/25? -72/25 What is the fifth smallest value in 40, 2, -9/8, -4, -1/10, 1/6? 2 Which is the second smallest value? (a) 0.1 (b) 1/3515 (c) -0.4 (d) 1/5 (e) -4 (f) -2 f Which is the second smallest value? (a) -5 (b) 0.014 (c) 2391 b Which is the smallest value? (a) 0.3 (b) 2004 (c) -2 (d) -0.05 c What is the third biggest value in 4, -1/3, -2, -123? -2 What is the smallest value in -1, -9.98, 5/3? -9.98 What is the second smallest value in -22/9, 0.337, 0.6, -2/11? -2/11 Which is the third smallest value? (a) 312 (b) -1.9 (c) 1 (d) -3 c What is the biggest value in -1, -156, 2/3, 91? 91 Which is the second biggest value? (a) -3/6647 (b) 1/2 (c) 8 b What is the fourth smallest value in -3/5, 74, -1.6, 0.5? 74 Which is the second biggest value? (a) -1 (b) -44/41 (c) -174 (d) -4 b Which is the second biggest value? (a) -13 (b) -71 (c) -4 a Which is the second smallest value? (a) -1/4 (b) 5 (c) 1 (d) -469 (e) -5 e Which is the second biggest value? (a) -3/31 (b) 0.5 (c) -2 (d) -3/2 a Which is the second smallest value? (a) -4 (b) -0.1645 (c) 3/14 b What is the sixth biggest value in -3, -10, -2, 652, -4, -5? -10 What is the third smallest value in -1, 8, 1/12, 0.2, 10, 3? 0.2 What is the third biggest value in 0.5, 4, -4, 2/463, 91? 0.5 Which is the biggest value? (a) -2 (b) 3 (c) -227 (d) -0.05 (e) 0 b Which is the smallest value? (a) 63 (b) 5 (c) 90 (d) -1 (e) -5 e Which is the fourth biggest value? (a) -0.3 (b) 286 (c) -0.219 (d) -1 d What is the second smallest value in -1823, 5/3, -2.7? -2.7 Which is the fourth smallest value? (a) 113/2 (b) 0 (c) 2/669 (d) 4 a What is the biggest value in -14, 0.3, 2, -62.5? 2 Which is the second smallest value? (a) 4/7 (b) 752 (c) -2 a What is the biggest value in -1/5, -0.0937, 0.1, 216, -1/3? 216 Which is the fourth smallest value? (a) 2.2 (b) -0.3 (c) 1.56 (d) -0.4 (e) 4 (f) 2 f Which is the biggest value? (a) -13 (b) -1/13 (c) -4/3 (d) 0.04 (e) 3 e What is the fourth smallest value in -0.5, 2/11, 2420, 7/3? 2420 Which is the third biggest value? (a) 0.2 (b) -0.2 (c) 3 (d) 0.8 (e) 27 d Which is the third biggest value? (a) 0.5 (b) -3/2 (c) 3 (d) 0 (e) -7/34 d Which is the third biggest value? (a) -0.2 (b) 4/5 (c) -6067 c What is the second smallest value in -75, 1, -4, 6/77? -4 What is the smallest value in 4/3, 22, 2, 0.1, -4/5, -1? -1 Which is the third biggest value? (a) -6 (b) -0.15 (c) -3 (d) 3 c What is the biggest value in -0.0048, 2/15, 1/13, 0? 2/15 What is the third biggest value in 0.1, -2/5, -3.3, 1164? -2/5 What is the fifth smallest value in 4, 3, -149, -20, -0.2? 4 Which is the biggest value? (a) -1260 (b) -3 (c) -180 b What is the smallest value in 443032, -2/23, 4? -2/23 What is the third biggest value in -17, -0.007, -204? -204 What is the smallest value in -0.32, -3, -0.3, 2/7, -0.1? -3 What is the sixth smallest value in 10.39, 1, 0.1, -7, -5, 1/8? 10.39 Which is the biggest value? (a) 1 (b) 7/331 (c) 2/7 (d) 12.4 (e) 2/11 d Which is the second biggest value? (a) 2/3 (b) 4 (c) -5 (d) 1/12 (e) -4 a Which is the third smallest value? (a) -0.2 (b) -31727 (c) -0.4 (d) 0.2 (e) 0.5 a Which is the second smallest value? (a) 1/106 (b) -48 (c) 0.9 a What is the second biggest value in 1, -4, -0.3, 4? 1 What is the second smallest value in -83, -2/23, 116? -2/23 What is the biggest value in -0.5, -1, 3, -527, -0.2, -6? 3 What is the biggest value in 3, 0.2, -63.615? 3 What is the fourth smallest value in -5, -0.08, -1, -1/11, -14, -2? -1 What is the third biggest value in -2, 5, 70562? -2 Which is the second biggest value? (a) -2 (b) -0.1842 (c) -4 (d) 0.1 b What is the second smallest value in -5, -3/151, 64, 0.3? -3/151 Which is the third biggest value? (a) 235 (b) 3 (c) -3 (d) 2 (e) 6/13 d Which is the third biggest value? (a) -0.191 (b) -8 (c) -3 (d) 11 (e) -1/6 a What is the biggest value in 1012, 4, 0, -0.1? 1012 What is the third smallest value in -1, -3/307, 21, -2? -3/307 What is the second biggest value in -3/2, 0.068, -0.5, -8, 5/7? 0.068 Which is the third biggest value? (a) -4.799 (b) -2 (c) -1/13 a Which is the sixth biggest value? (a) 267 (b) 1 (c) 1/13 (d) -0.2 (e) -3/2 (f) -3/4 e What is the second smallest value in 4/35, 4, 2, 1/5, 0? 4/35 What is the fourth biggest value in 0.01, -48, -771, -0.1? -771 What is the smallest value in 0, 1.8, -26/5? -26/5 Which is the fifth biggest value? (a) 1/5 (b) 42 (c) 4 (d) -1/5 (e) -1 e What is the second biggest value in -2, 0.7, -8/7? -8/7 What is the fourth biggest value in 344, 0, -2/9, 1/7, -2? -2/9 Which is the third biggest value? (a) -371 (b) 3/2 (c) -191 (d) -0.5 c What is the biggest value in -2, -2.52, 0.031, -0.3? 0.031 Which is the fourth biggest value? (a) 2/9 (b) 511 (c) -0.4 (d) 5 c Which is the fourth smallest value? (a) 33/41 (b) 2 (c) 6 (d) 1 c What is the fourth biggest value in 189, 1/9, 3, 0, -20? 0 Which is the second biggest value? (a) 4785/2 (b) 5/16 (c) -3 b Which is the fifth smallest value? (a) 0.1 (b) -71 (c) 1/2 (d) 3/2 (e) -0.04 d Which is the smallest value? (a) -0.2 (b) 1/4 (c) -475 (d) -4.5 c Which is the fourth smallest value? (a) -0.01 (b) -40/9 (c) -3 (d) -0.4 a Which is the third smallest value? (a) 21648 (b) -4 (c) -5 a Which is the fifth smallest value? (a) -4 (b) 3 (c) 341 (d) 5 (e) 2/7 c Which is the fourth smallest value? (a) -0.6 (b) -2/11 (c) 4 (d) 5/2 (e) -32 (f) 0.05 f What is the sixth smallest value in -1/7, 31, 0.4, 4, -1/2, 41? 41 What is the third biggest value in 1/3, -0.056, -75/14? -75/14 Which is the fourth smallest value? (a) 15 (b) 0.3 (c) -0.5 (d) -0.3 (e) -520 (f) 0.1 f What is the third biggest value in 1/9, 0.4, 1.792, -0.7? 1/9 What is the third smallest value in -1/21, 0, 6, 2/43? 2/43 Which is the second biggest value? (a) -14/9 (b) -1/3 (c) -36/5 a What is the biggest value in 2/5, 0.2, 29, 47? 47 Which is the third smallest value? (a) 3/2 (b) 1 (c) 2750 c Which is the fourth biggest value? (a) 15/7 (b) -7 (c) 0.1 (d) 7/6 (e) -0.5 e Which is the second biggest value? (a) 33603 (b) 2/7 (c) 2/3 (d) 0 c Which is the second biggest value? (a) -2 (b) 2/7 (c) -2/7 (d) -31 (e) 17 b Which is the smallest value? (a) -0.4 (b) -30722 (c) -0.5 (d) 0.7 b What is the second smallest value in -0.03, 5, 10, 0.24, 2? 0.24 Which is the second smallest value? (a) -11 (b) 0.08 (c) 4/849 c What is the fourth smallest value in 0.4, -0.025, 0.04, -1, 0.1, 2? 0.1 Which is the biggest value? (a) 1863.93 (b) -1/2 (c) 0 a Which is the smallest value? (a) -1 (b) 1.12 (c) 5.9 (d) 0.5 (e) 5 a Which is the second biggest value? (a) -4 (b) 38 (c) 4 (d) -8 c Which is the biggest value? (a) 0 (b) 2/19 (c) -77/5 (d) -2.3 (e) 0.4 e Which is the fifth biggest value? (a) -3 (b) 4 (c) -2/3 (d) 35 (e) 0.03 a What is the third biggest value in -868, -0.3, 537? -868 What is the second smallest value in -0.1, -3, -1218, -2? -3 Which is the second smallest value? (a) 2/17 (b) 1031 (c) 3/2 (d) -24 a Which is the third smallest value? (a) -24095 (b) 8 (c) -5 b Which is the fourth smallest value? (a) -24 (b) -3/134 (c) 3 (d) 11 d What is the fifth biggest value in -26, 0.1, -4, 1/4, 0.4? -26 Which is the second biggest value? (a) 8 (b) -10 (c) 0.1 (d) -4 (e) -1 (f) -2 c What is the third biggest value in -2.1, 11, 0, -5? -2.1 What is the smallest value in -5, 30, -2/11, 1, -0.5? -5 What is the third smallest value in -2/11, 481/18, -0.4? 481/18 What is the second smallest value in -1/4, -1/2, -3138? -1/2 What is the fifth biggest value in 0.4, -0.3, 54447, -3, -1/4? -3 What is the second biggest value in -0.2, 12, 5.7, 2/7, 0.066, -2? 5.7 What is the biggest value in -2/5, 3129, 0.07? 3129 What is the second smallest value in 15, -4, -4/7, 0, -0.15? -4/7 Which is the biggest value? (a) 1/4 (b) 2 (c) -6.4 (d) 5 d Which is the second biggest value? (a) -572 (b) -4.1 (c) 2/3 b Which is the fourth smallest value? (a) -1 (b) 4 (c) -
{ "pile_set_name": "DM Mathematics" }
entury in years? 520 How many millilitres are there in 44/5 of a litre? 8800 What is one sixteenth of a century in months? 75 What is 562.5963 micrograms in grams? 0.0005625963 What is 845.348 centimeters in kilometers? 0.00845348 Convert 429.051ml to litres. 0.429051 How many months are there in 906.774 decades? 108812.88 Convert 690957.7 centuries to years. 69095770 Convert 2.32131 months to years. 0.1934425 What is 835593.948us in weeks? 0.00000138160375 What is eleven tenths of a litre in millilitres? 1100 How many seconds are there in ten thirds of a minute? 200 How many kilograms are there in 2/125 of a tonne? 16 What is 162539.7 months in decades? 1354.4975 How many seconds are there in 597.5683 milliseconds? 0.5975683 How many months are there in seven eighths of a millennium? 10500 What is 1/16 of a tonne in grams? 62500 What is six fifths of a litre in millilitres? 1200 Convert 28962.38 milligrams to kilograms. 0.02896238 What is two fifteenths of a millennium in months? 1600 What is 21/8 of a kilogram in grams? 2625 How many milligrams are there in 51/2 of a gram? 25500 What is seventeen sixths of a hour in seconds? 10200 What is seven eighths of a millimeter in micrometers? 875 What is one fifth of a millennium in decades? 20 Convert 0.9053925 millennia to months. 10864.71 What is fourty-five quarters of a milligram in micrograms? 11250 How many kilometers are there in 0.2376268 nanometers? 0.0000000000002376268 How many micrometers are there in 0.9305277 centimeters? 9305.277 What is 4/3 of a day in hours? 32 Convert 20286.12 days to seconds. 1752720768 How many millimeters are there in 5/4 of a meter? 1250 What is 25/2 of a gram in milligrams? 12500 How many millilitres are there in 51/4 of a litre? 12750 How many millilitres are there in 19/4 of a litre? 4750 What is 0.5004498 centimeters in millimeters? 5.004498 How many months are there in 3/10 of a millennium? 3600 How many micrograms are there in 33/10 of a milligram? 3300 What is 3/5 of a meter in millimeters? 600 What is 29/5 of a meter in centimeters? 580 How many meters are there in 741.4501 kilometers? 741450.1 How many micrometers are there in five quarters of a centimeter? 12500 What is seven halves of a litre in millilitres? 3500 What is 0.8756211 litres in millilitres? 875.6211 What is 33286.05 millennia in years? 33286050 What is seventy-six fifths of a century in years? 1520 How many milligrams are there in 0.7552159t? 755215900 Convert 87422.63ml to litres. 87.42263 How many millilitres are there in three fifths of a litre? 600 What is five eighths of a litre in millilitres? 625 How many meters are there in 652.1061 kilometers? 652106.1 What is 31/5 of a meter in centimeters? 620 How many micrometers are there in 5/4 of a centimeter? 12500 Convert 9253.961 years to decades. 925.3961 How many kilometers are there in 3578.148 meters? 3.578148 How many millennia are there in 6.94987 years? 0.00694987 What is 21/5 of a milligram in micrograms? 4200 What is 262.09815 months in centuries? 0.218415125 What is 26/5 of a litre in millilitres? 5200 What is twenty-nine fifths of a decade in years? 58 What is thirteen quarters of a year in months? 39 What is thirteen eighths of a milligram in micrograms? 1625 What is 3/10 of a decade in months? 36 Convert 9120.343ug to grams. 0.009120343 What is 6.837295ug in milligrams? 0.006837295 How many centimeters are there in fourty-four fifths of a meter? 880 What is 21/5 of a decade in months? 504 How many milligrams are there in fourty-five quarters of a gram? 11250 What is 165.074652 milliseconds in days? 0.00000191058625 Convert 3.09969 micrograms to grams. 0.00000309969 What is 7815.157 nanograms in grams? 0.000007815157 How many seconds are there in 8/15 of a hour? 1920 Convert 2.597143km to meters. 2597.143 What is 1/10 of a day in minutes? 144 What is thirty-three fifths of a millennium in centuries? 66 What is 29/6 of a hour in seconds? 17400 Convert 406.2293nm to millimeters. 0.0004062293 What is three tenths of a millennium in centuries? 3 How many milligrams are there in 52/5 of a gram? 10400 What is 601411.4 milliseconds in microseconds? 601411400 How many minutes are there in 4358.646 days? 6276450.24 How many meters are there in 34/5 of a kilometer? 6800 How many micrometers are there in 0.697513 nanometers? 0.000697513 How many nanoseconds are there in 891293.6 minutes? 53477616000000000 What is 4.249801ng in grams? 0.000000004249801 How many minutes are there in one sixth of a week? 1680 How many centuries are there in 17369.367 months? 14.4744725 Convert 0.70794ml to litres. 0.00070794 How many grams are there in 11/2 of a kilogram? 5500 What is 6465.6891us in hours? 0.00000179602475 How many nanometers are there in 0.1916586cm? 1916586 How many kilograms are there in 0.3721886g? 0.0003721886 What is five sixths of a week in minutes? 8400 How many seconds are there in 20/9 of a hour? 8000 What is twenty-nine thirds of a minute in seconds? 580 How many micrograms are there in six fifths of a milligram? 1200 How many years are there in 13/5 of a century? 260 Convert 5.144689 centuries to decades. 51.44689 Convert 311564.2 kilograms to micrograms. 311564200000000 How many milliseconds are there in 159.6837 microseconds? 0.1596837 What is three eighths of a centimeter in micrometers? 3750 How many months are there in 13/4 of a decade? 390 What is 28281.9 milliseconds in microseconds? 28281900 What is nine tenths of a micrometer in nanometers? 900 How many micrograms are there in 0.94549 kilograms? 945490000 What is 17/4 of a meter in centimeters? 425 How many millilitres are there in twenty-three eighths of a litre? 2875 How many kilograms are there in 11/2 of a tonne? 5500 How many microseconds are there in 9.35146 milliseconds? 9351.46 How many kilograms are there in 6.33833 milligrams? 0.00000633833 Convert 89469.19 litres to millilitres. 89469190 How many litres are there in 792.0195 millilitres? 0.7920195 What is 397.0122 kilograms in milligrams? 397012200 How many millilitres are there in seven quarters of a litre? 1750 What is 96.87096 minutes in seconds? 5812.2576 How many nanograms are there in twenty-seven fifths of a microgram? 5400 How many micrograms are there in 0.3318448 tonnes? 331844800000 What is 814.365 micrometers in millimeters? 0.814365 What is seventeen quarters of a kilometer in meters? 4250 What is 31/2 of a micrometer in nanometers? 15500 How many seconds are there in 11/4 of a minute? 165 Convert 0.6597082 centuries to years. 65.97082 What is 21/4 of a millennium in years? 5250 What is 0.678912 centuries in months? 814.6944 How many millilitres are there in 1746.124l? 1746124 What is one tenth of a centimeter in millimeters? 1 How many millilitres are there in twenty-seven fifths of a litre? 5400 Convert 7662.971 minutes to nanoseconds. 459778260000000 What is 67/5 of a litre in millilitres? 13400 What is 237.4442l in millilitres? 237444.2 What is 44.58063 centuries in months? 53496.756 Convert 231.381 nanograms to micrograms. 0.231381 Convert 217.76931 months to years. 18.1474425 What is 77935.5 millennia in decades? 7793550 What is 13/5 of a litre in millilitres? 2600 What is three tenths of a gram in milligrams? 300 How many millilitres are there in 27/4 of a litre? 6750 What is fourty-two fifths of a century in years? 840 How many millimeters are there in 86.62332nm? 0.00008662332 How many nanograms are there in 21/8 of a microgram? 2625 How many hours are there in seventy-one quarters of a week? 2982 How many months are there in seven sixths of a century? 1400 What is 55/2 of a kilogram in grams? 27500 Convert 907067.1 decades to months. 108848052 What is 3522.577 millilitres in litres? 3.522577 How many micrometers are there in three fifths of a millimeter? 600 What is 7687.839 tonnes in kilograms? 7687839 How many centuries are there in 15.013866 months? 0.012511555 How many litres are there in 8.947262 millilitres? 0.008947262 How many milligrams are there in 32/5 of a gram? 6400 How many grams are there in 5/8 of a kilogram? 625 How many hours are there in 4998.7359 seconds? 1.38853775 Convert 491.9202 litres to millilitres. 491920.2 How many grams are there in 13/8 of a kilogram
{ "pile_set_name": "DM Mathematics" }
t to t? (a) y (b) k (c) 3 c Suppose a - 5*g - 125 = 0, 7*a - 4*g = 9*a - 236. Let i be (-7)/(2 + (-334)/172). Let c = a + i. What is the closest to -0.1 in c, -8, 0.1? 0.1 Let f = -598 - -514. Let r be 393/f + 5 - (-12)/(-21). Which is the closest to -0.2? (a) 1/7 (b) -1.9 (c) 2/17 (d) r d Let z = 618 + -429. Let a = z + -171. What is the closest to -0.2 in -6/11, -5, a? -6/11 Let s = 3550 + -3544. What is the nearest to -37 in -4, -2, -1/4, s? -4 Let q be (-1)/8 + 5/20. Let j = q - -3/8. Suppose -12 = -3*o - 2*l, 169*l = -5*o + 166*l + 20. Which is the nearest to 1? (a) j (b) -3 (c) o a Suppose o = -2*l + 4 - 2, -5*l = 25. Suppose 6 - 18 = o*d. Which is the nearest to 3/8? (a) 0 (b) d (c) 4 a Let r be (-3)/14*4/(-3). Let l = 19/42 - r. Let p = 15/134 + -343/670. Which is the nearest to l? (a) p (b) -6 (c) -0.2 c Let d = 0.27 - 250.27. Let y = -250.5 - d. Which is the closest to -5/2? (a) 4 (b) y (c) -4 c Suppose 0 = -m - 3*s + 22, 0 = 8*s - 9*s. Let y be (m/440)/(3/(-12)). Which is the nearest to -0.1? (a) -4/57 (b) y (c) 0.1 a Let y = 89.859 + 0.141. Let w = -74 + y. Let o = -0.02 - -0.32. What is the closest to 1 in o, -1/8, w? o Let n = 60 + -62. Let q = n - -4. Which is the closest to 1? (a) 3 (b) -6 (c) q c Let u = 1475.3 + -1475.2. Which is the nearest to 2? (a) 1/5 (b) u (c) -35 a Let x = 0.3 + -0.26. Let b = 1321.8 + -43.8. Let l = 1278.2 - b. What is the closest to x in l, -0.2, -0.4? l Suppose -199 = 18*q + 209 - 120. What is the closest to 0.03 in -0.4, q, -3/11? -3/11 Let y = 0.54 - 1.03. Let d = -17.9 - -19.9. Which is the closest to -2/7? (a) d (b) y (c) 2/3 b Let d = -4 - -7. Let t = -2.96 + 2.76. What is the nearest to t in -4, 1/6, d? 1/6 Let f = 0.6 + -0.6. Let p = -13903/9258 + 8/4629. What is the closest to 3 in 0.5, 0.04, p, f? 0.5 Let k = -0.4329 - -0.4329. Which is the nearest to -1? (a) -1/6 (b) -45 (c) k (d) -2/15 a Let g = 11813 + -11810. Let m = -2 - -2.4. Which is the closest to g? (a) -5 (b) m (c) -0.5 b Let o = 15165 + -60661/4. Which is the closest to -5? (a) 1/5 (b) 1/8 (c) o c Let w = -4.97 - -6.97. What is the closest to w in -48.2, -3, 2? 2 Let y = 7280 - 7280. What is the nearest to -0.3 in -110, y, 5? y Let g = -10/907 + -1764/4535. Let u = -33 - -32.9. Which is the closest to -1? (a) g (b) u (c) 0.3 (d) 0.2 a Let g = -8.89 + -0.11. Let r = 13 + g. Let l = 18108 - 18108. Which is the nearest to l? (a) 2/3 (b) 3 (c) r a Let k be -82 + 3/(0 + 3). Let l = k + 564/7. Let w be ((-72)/15)/4 + 21/(-70). What is the closest to l in -0.4, w, 0.5? -0.4 Let s be 2 + -2 + (-60)/(-180). What is the closest to 0.2 in -2, -9, 2/13, s? 2/13 Suppose -38 = 8*d + 10. What is the closest to d in 1/6, -4, 1/5? -4 Let f = -2748.3 + 2717. What is the closest to -0.2 in 4, -5, 1/2, f? 1/2 Let k = -3353 + 3358. What is the closest to 1 in -3.5, 0.1, k? 0.1 Let i = -2676/18781 - 1/2683. What is the closest to -2 in 2, i, 1/50? i Let h = -33 + 7. Let t = 24.88 + h. Let j = 0.12 + t. Which is the nearest to j? (a) 0.1 (b) 2 (c) 0.5 a Let t = 2134.9 + -2135. What is the nearest to t in 0.3, -0.1, 0.4, 2.4? -0.1 Let u = -0.8 + 1.1. Let i = 176 - 166. Let o = -7 + i. What is the closest to -1/2 in 4, u, o? u Let s = 19321.5 - 19321. Which is the closest to 2? (a) 0.3 (b) 14/9 (c) s (d) 14 b Let m = -0.5 - -0.2. Let v(u) = u**3 + 3*u**2 - u. Let f be v(-3). Let t be ((-792)/(-68))/3 + 4/34. What is the nearest to 3 in f, t, m? f Let k(r) = r**2 + 30*r + 1. Let p be k(-30). Let n be (0 - 0)*3*p/(-3). What is the nearest to -1 in -4, n, 0.3, -0.1? -0.1 Let j be ((-4134)/(-378) + -11)/(2/(-9)). Which is the closest to 235? (a) j (b) -5 (c) 0.9 c Let m = -442 - -168.5. Let w = -273 - m. What is the closest to -1/2 in -0.5, w, -3, -4? -0.5 Let h(k) = -5*k - 307. Let t be h(-62). Which is the closest to 4? (a) 0 (b) 2 (c) -0.5 (d) t d Let o(s) = -s**3 + 4*s**2 + 6*s - 3. Let d be o(5). Let w be -2*(d/352)/(6/(-12)). Let f = w + -3/11. Which is the closest to f? (a) 2 (b) 0.1 (c) -0.3 c Let m = 22132 - 22131.5. Which is the closest to -2? (a) 0.03 (b) -1 (c) -8/3 (d) m c Let q = -3717 - -3717.4. What is the nearest to 1.8 in -1, q, 4? q Let d = -109 - -871/8. Let m = -0.0284 - -29.9284. Let r = m + -30. What is the nearest to r in -2, -0.02, d? d Let z = -2643 + 2637. What is the nearest to z in 3, 1.05, -3? -3 Let g = 145 - 39. Let x = g - 102.5. Let d = 3.52 - x. Which is the closest to -1/4? (a) -3 (b) 4 (c) d c Let l = -7 - 20. Let j = -411.2 + 410.9. What is the nearest to -2/7 in j, -2, l? j Let u be (3 + -2)*-5 - -2. Let o be u + -32*6/(-66). What is the nearest to o in 0.2, 2/11, 3? 2/11 Let f = -0.893 + 0.693. Let l = -7 + 4. Let n = 3 + -2.9. What is the nearest to 2 in l, f, n? n Let s(d) = -d + 2. Let c be s(7). Let y = -10 - c. Let x be (-242820)/57510 + 11/9 + -1. What is the closest to -2/7 in y, x, -2/13? -2/13 Suppose 4*k + 90 = 286. Let q = 5872.4 + -5872.4. What is the closest to -1/2 in q, k, 0.1? q Let j = 17379 + -17379.11. Which is the nearest to j? (a) 0.3 (b) -25 (c) -5 a Let l = -176.3 + 13.8. Let w = l + 162. Let z(g) = g. Let m be z(1). What is the nearest to m in -1/10, 3, w? -1/10 Let n = -12.39 + 13. Let h = n - 0.31. Let o(m) = m**3 - 6*m**2 + 3. Let t be o(6). Which is the closest to h? (a) -0.5 (b) t (c) -0.3 c Let d = 4 + -4.7. Let v = -0.7 - d. Let n = 381.5 + -381.42. What is the nearest to v in 0.4, 5, n? n Let j be (-1 + 10/4)/3. Let z = -0.067627 + 0.077627. Which is the nearest to z? (a) j (b) -4 (c) 2/9 c Let d = -316 - -118. Let o = -793/4 - d. Which is the nearest to 0.1? (a) o (b) -4 (c) 4 a Let d(p) = 17*p - 115. Let k be d(7). Let s(z) = -z**3 + 5*z**2 - 7*z + 12. Let o be s(k). What is the nearest to o in 1/7, -4, 3? 1/7 Suppose 7 = k + 4*j, k - 4 = -7*j + 4*j. Which is the closest to k? (a) -3/5 (b) 2/13 (c) -6/13 a Let s be ((-306)/42 - -7)*-1. Let o(t) = 3*t - 56. Let q be o(19). Suppose -2 = 4*n - 10. What is the nearest to 2 in q, s, n? n Let n be (-6)/(14/4 - -1). Let u = -135.953 + 136.253. Which is the closest to u? (a) 2/19 (b) n (c) -2 a Let q = -71/420 + -11/84. Which is the nearest to -4? (a) 2 (b) -4 (c) 0.2 (d) q b Let i = -1/147 - 16/49. Let p = -21 + 25. Which is the nearest to i? (a) -4/9 (b) -0.4 (c) p b Let a be ((-5)/(-7) - 1)/((-21)/252*-6). What is the closest to -9 in a, -10, -0.1, -3? -10 Let j = -36416.6 + 36417. Which is the nearest to 0.1? (a) j (b) 9.8 (c) -5 a Let a(v) = -22*v + 3. Let i be a(-1). Let s = i + -35. Let u be 34/28 + (-3)/2. What is the closest to s in u, 3, -1/6? u Let k be ((-572)/220 + 3 + 0)/(-3). Which is the nearest to 2? (a) 2/5 (b) -5 (c) k (d) 24 a Let y be (4 + (-110)/20)/1*2. Which is the closest to y? (a) 0 (b) -0.3 (c) -0.05 b Let f = -927.5 - -928.5. Let u = 0 - 0. Which is the nearest to u? (a) 39 (b) f (c) 2 (d) -0.2 d Let v = 16 + -16.4. Let d = -0.128 - 0.036. Let i = d + -1.836. Which is the closest to i? (a) v (b) 2/9 (c) -4 a Let d = -0.372 + 38.572. Let w = -38.3 + d. What is the closest to w in 1.2, -2, -0.2? -0.2 Let p = -2590 - -2592. Which is the nearest to 0? (a) 1.1 (b) p (c) -0.06 c Let x = -13/490 - -1227/9310. Let h = 2 - 4. What is the nearest to -2/3 in 4, h, x? x Let k = 0.22 + -7.52. Let t = k + 7. Let g = 131.573 - 162.573. What is the nearest to g in 3/5, t, 1? t Let n = 6.2 + -6.3. Let m be 2*(-3)/6*(-11 - -16). Which is the nearest to 1? (a) m (b) 0.5 (c) n b Let a be 3 + (0 - 0 - (-54)/(-9)). What is the nearest to a in -0.4, -2, 1/4, -5? -2 Let r = 36983 - 36982.9. Which is the nearest to -2? (a) 5/4 (b) r (c) 2/9 (d) 2 b Let x be 33/(-44)*(-8)/18. Let y = -564 + 560. What is the nearest to -0.05 in -0.3, y, x? -0.3 Let r be -4 - (18407/(-4740) + (-1)/4). Which is the closest to -8? (a) -0.6 (b) r (c) -2/5 (d) 2 a Let y = -524.6592 + -0.0408. Let h = y + 517.643. Let g = h - -0.057. Which is the closest to 0? (a) 0.3 (b) g (c) 1 a Let k be 42/252*(9/6)/(2/(-3)). Which is the closest to -46? (a) 1 (b) k (c) 2/29 b Let f = 130.69 + -132.69. What is the closest to f in 2/7, 2/11, 7? 2/11 Let o = -1.44 + 31.64. Let p = o - 31. Let w = 4.2 - p. Which is the closest to 0? (a) -0.3 (
{ "pile_set_name": "DM Mathematics" }
) to base 6 4100044 -88840 (base 11) to base 3 -20112122221 What is -1719523 (base 10) in base 4? -12203303203 What is 24a0fd (base 16) in base 3? 11111221212202 What is 369042 (base 10) in base 5? 43302132 Convert 317648 (base 9) to base 11. 11a289 What is b706a (base 12) in base 15? 4b2d4 What is 9568 (base 13) in base 2? 101000011100000 Convert -3dd9a (base 14) to base 16. -25804 Convert -1cc43e (base 16) to base 2. -111001100010000111110 What is -c42be0 (base 15) in base 6? -531504403 What is -1501427 (base 10) in base 15? -1e9d02 What is 6c00b4 (base 16) in base 4? 123000002310 Convert 10adc (base 14) to base 3. 2001122121 Convert -599020 (base 11) to base 2. -11100111101100100001 What is -5066e (base 15) in base 7? -2110133 What is 9e8f1 (base 16) in base 8? 2364361 Convert 1103005 (base 7) to base 2. 100001000101000010 Convert 10115314 (base 6) to base 2. 1000110110110011110 3943b (base 12) to base 16 1322f Convert 4125443 (base 6) to base 2. 110000011001100011 617696 (base 11) to base 14 1bb287 What is -829c0 (base 13) in base 11? -150256 463224 (base 8) to base 13 567c6 -349c6 (base 13) to base 4 -113132122 3777617 (base 8) to base 7 11624513 -10110100010110111010 (base 2) to base 8 -2642672 Convert -6e3dc (base 15) to base 12. -14b776 Convert 501815 (base 14) to base 8. 12214513 What is 12d0643 (base 15) in base 3? 221112101001100 17d96d0 (base 14) to base 10 11819766 What is -12042651 (base 7) in base 13? -2b5a23 Convert -101110110001111100111 (base 2) to base 11. -957769 Convert 2222201010012 (base 3) to base 8. 6036541 What is -1011110120101 (base 3) in base 9? -1143511 Convert 7a834 (base 16) to base 9. 844318 Convert 2b25a (base 12) to base 7. 342241 What is 1201012211 (base 3) in base 14? c3c7 1934277 (base 11) to base 4 30132133001 What is 3618887 (base 9) in base 3? 10200122222221 Convert 837459 (base 10) to base 9. 1515700 Convert -14205242 (base 6) to base 15. -982e5 What is -11810b (base 16) in base 11? -713961 Convert 414c6 (base 13) to base 8. 345037 Convert 10200020001 (base 3) to base 12. 35a3a -26585514 (base 9) to base 12 -4480864 What is -1a26a (base 14) in base 5? -4110332 10a463 (base 13) to base 6 12240100 Convert -2100d2 (base 15) to base 5. -400211242 Convert -32104343 (base 5) to base 8. -1016044 Convert -7182280 (base 10) to base 16. -6d97c8 Convert -132324400 (base 5) to base 15. -d2b85 Convert -701870 (base 9) to base 16. -6543f What is 10011111220220 (base 3) in base 15? 233ad9 What is 627b5 (base 12) in base 7? 1045100 Convert -4112022 (base 5) to base 16. -103d0 Convert -67037 (base 14) to base 10. -249753 What is -402637 (base 8) in base 6? -2501251 -6730736 (base 8) to base 2 -110111011000111011110 -56ca6 (base 14) to base 3 -101201111101 46126200 (base 8) to base 16 98ac80 Convert -7ee861 (base 15) to base 9. -12376261 Convert -30024141 (base 5) to base 14. -620d5 What is -7e2080 (base 16) in base 3? -120112221121211 What is 2202010012020 (base 3) in base 8? 5441266 11200100211212 (base 3) to base 13 69114b Convert -1010100000101110000000 (base 2) to base 3. -12011222202221 What is ac45 (base 13) in base 10? 24055 Convert -440315103 (base 6) to base 7. -123561654 -1010121 (base 6) to base 14 -136c9 What is 20112211020021 (base 3) in base 12? 11ba167 What is -2118447 (base 9) in base 3? -2010122111121 -376727 (base 12) to base 14 -19715d What is -1c930 (base 15) in base 16? -16c0b -3042051 (base 8) to base 9 -1454641 What is -29c6c (base 13) in base 14? -20b1b What is 22321312111 (base 4) in base 16? 2b9d95 What is 3634530 (base 10) in base 16? 377562 What is 11011011100110110111 (base 2) in base 7? 10434324 -10011010011100010111100 (base 2) to base 8 -23234274 What is 19735 (base 11) in base 7? 143122 2333221303 (base 4) to base 13 216406 Convert 100100002201110 (base 3) to base 8. 22733463 174ac (base 14) to base 16 e4c0 What is -11200003 (base 4) in base 15? -6a21 Convert 100000011111011111101 (base 2) to base 15. 160701 What is -701244 (base 9) in base 8? -1451102 Convert -40223010 (base 5) to base 14. -84a84 11430414 (base 8) to base 9 4634326 What is 153752 (base 10) in base 13? 54ca1 What is -2a155a (base 13) in base 8? -3736221 What is 11201112102 (base 3) in base 5? 10433342 What is 49064 (base 13) in base 11? 91829 Convert 545136 (base 11) to base 6. 30354414 -1001001111121 (base 3) to base 2 -10000110110100011100 34622 (base 15) to base 4 220231211 Convert -3011330120 (base 4) to base 2. -11000101111100011000 Convert 110001200102101 (base 3) to base 8. 30350244 What is 1123122 (base 7) in base 4? 202101000 63445356 (base 7) to base 16 51fc0c Convert 247061 (base 12) to base 15. ba987 What is -3fb14 (base 16) in base 9? -436771 Convert -5688 (base 9) to base 10. -4211 Convert 102001011212 (base 3) to base 16. 3511d What is -50455222 (base 7) in base 6? -225554441 What is 99560 (base 10) in base 15? 1e775 -143477 (base 8) to base 12 -25627 -121372 (base 10) to base 7 -1013566 What is 1201110243 (base 5) in base 6? 135005103 What is 11202030321 (base 4) in base 16? 162339 Convert -769055 (base 10) to base 3. -1110001221112 2122100202200 (base 3) to base 6 50034500 Convert -35242115 (base 7) to base 10. -3102839 What is 54236356 (base 7) in base 4? 101222231032 30011021113 (base 4) to base 16 305257 What is -96170 (base 12) in base 6? -4121020 -1055525 (base 6) to base 2 -1101010010001101 What is 105301501 (base 6) in base 15? 283c31 What is 250770 (base 8) in base 15? 1a980 Convert -12233032121 (base 4) to base 14. -33d9a1 -44421c (base 14) to base 3 -11100200102220 22000005 (base 6) to base 12 276005 3031244313 (base 5) to base 10 6118708 Convert -16163220 (base 7) to base 16. -17d4bf -15a9b7 (base 12) to base 15 -74ed7 What is 40320b (base 13) in base 5? 340221422 Convert -3486423 (base 9) to base 2. -111001100110111101110 What is 1b0520 (base 13) in base 16? a78ff What is 770270 (base 11) in base 8? 4542523 -77d67 (base 15) to base 7 -3144565 -204536 (base 7) to base 12 -184a2 Convert -111100010001001100 (base 2) to base 3. -110112121222 Convert 234b3c (base 14) to base 5. 302012312 Convert 62da (base 16) to base 2. 110001011011010 bed110 (base 15) to base 8 42571106 27ed9c (base 15) to base 13 524646 31231110 (base 4) to base 13 1c731 Convert -243183 (base 11) to base 10. -384871 541bc (base 13) to base 14 3d513 1793b (base 16) to base 5 11042241 Convert -102020221 (base 4) to base 16. -12229 Convert 59252 (base 13) to base 12. 7a39b Convert 10100010000000010011 (base 2) to base 10. 663571 -2678405 (base 9) to base 7 -15326366 What is 317542 (base 16) in base 8? 14272502 Convert -22000220122 (base 3) to base 13. -56c8a Convert -1000111222000 (base 3) to base 11. -33aa22 63529 (base 14) to base 11 154140 What is 103123433 (base 5) in base 4? 1230000000 What is -324432 (base 11) in base 5? -113041103 What is 10202002110 (base 3) in base 15? 16c80 What is 134211432 (base 6) in base 8? 12306714 -59d37e (base 15) to base 8 -20310721 93861 (base 16) to base 6 20541253 What is 8187638 (base 9) in base 6? 233345225 Convert 1296bc (base 13) to base 10. 449357 -136583 (base 14) to base 5 -132430011 What is -423184 (base 13) in base 9? -2821041 134203204 (base 6) to base 13 744157 Convert -1304334 (base 6) to base 2. -10001010101000010 Convert -7afb (base 16) to base 8. -75373 -18cab (base 14) to base 15 -13966 Convert -475a051 (base 11) to base 14. -1160bb6 3110501 (base 8) to base 10 823617 1a5884c (base 14) to base 11 7453924 -9c7152 (base 15) to base 7 -120313121 Convert 153222 (base 7) to base 12. 15403 Convert 1781b (base 14) to base 3. 10000020020 Convert -3443542 (base 6) to base 7. -1335233 63170 (base 12) to base 10 129828 Convert 120201101000001 (base 3) to base 6. 455010431 What is -100011010001011110000 (base 2) in base 4? -10122023300 Convert 2be4 (base 15) to base 12. 5567 Convert -1115004 (base 12) to base 14. -60d80c What is 14152b (base 15) in base 16? ebf10 What is 2a158 (base 14) in base 6? 2124002 -12020211212202 (base 3) to base 5 -1203320412 What is 3541 (base 13) in base 15? 2344 -1144908 (base 10) to base 12 -472690 Convert -25323 (base 6) to base 2. -111011010011 -3015423 (base 7) to base 4 -1113032130 What is 22002242 (base 5) in base 8? 556656 What is -295761 (base 14)
{ "pile_set_name": "DM Mathematics" }
-142, 5, 69451 Put 6, -1, -19014, 4 in descending order. 6, 4, -1, -19014 Put 15, -356, 70, -6, -1 in descending order. 70, 15, -1, -6, -356 Sort -5, 2, 0.03, 3, 9084, -0.3 in increasing order. -5, -0.3, 0.03, 2, 3, 9084 Put -55, -0.2, -141, 4, 514 in descending order. 514, 4, -0.2, -55, -141 Put 5, 1, -47771 in increasing order. -47771, 1, 5 Sort -1, -2, -14, 4, -4992 in ascending order. -4992, -14, -2, -1, 4 Put 0, 1950, 17, 4, 3, -2 in decreasing order. 1950, 17, 4, 3, 0, -2 Put 0.89, 0, -23058, 1 in increasing order. -23058, 0, 0.89, 1 Sort -9, -3, 4, -231, 9/7, -1/2, 24 in descending order. 24, 4, 9/7, -1/2, -3, -9, -231 Sort -16269, 1, 4 in decreasing order. 4, 1, -16269 Sort -432, 39, 0, -5, -4, 4 in decreasing order. 39, 4, 0, -4, -5, -432 Sort -23, -2, -59, 5, 1, -1, -3 in descending order. 5, 1, -1, -2, -3, -23, -59 Sort -147, -7/87, -3 in ascending order. -147, -3, -7/87 Sort -64319, 5/3, 0.3 in decreasing order. 5/3, 0.3, -64319 Sort -11, -3/2, 9, -2/13, -19 in decreasing order. 9, -2/13, -3/2, -11, -19 Put 5, 6, -4, 391, 8, 11 in decreasing order. 391, 11, 8, 6, 5, -4 Sort -2/115, 1/4, -0.0241, -141. -141, -0.0241, -2/115, 1/4 Sort 0, 5, 31, 12, -8, -33 in decreasing order. 31, 12, 5, 0, -8, -33 Sort -1, 2, -106, -5, 9. -106, -5, -1, 2, 9 Put -2, -808/13, -0.1, 5, 10 in descending order. 10, 5, -0.1, -2, -808/13 Sort -10/11, 3, 9, -413 in ascending order. -413, -10/11, 3, 9 Sort -3, -5, 150.1967 in increasing order. -5, -3, 150.1967 Sort 0.15, -1.1, -33607.6. -33607.6, -1.1, 0.15 Sort -493, 3, -58, -11. -493, -58, -11, 3 Sort -8, -2/7, 223, 3, 4, -4, -5 in decreasing order. 223, 4, 3, -2/7, -4, -5, -8 Put 0.3, -14, -2, 0.1, 4, -1/35 in decreasing order. 4, 0.3, 0.1, -1/35, -2, -14 Put 5, 3, -24, -27, -271 in descending order. 5, 3, -24, -27, -271 Sort 19, 0.0322, 0.1, 4 in descending order. 19, 4, 0.1, 0.0322 Sort 3, 18, -527466. -527466, 3, 18 Sort 0.1, -0.514, 1/143, -8 in descending order. 0.1, 1/143, -0.514, -8 Sort 6, -545388, 7 in decreasing order. 7, 6, -545388 Sort -4, 2, 3, 5, 15338, 89 in decreasing order. 15338, 89, 5, 3, 2, -4 Sort 3, 15, -1, -1781841, -3 in increasing order. -1781841, -3, -1, 3, 15 Put 3, -289, 38, -17 in ascending order. -289, -17, 3, 38 Sort -533, 2, -7, 0, 893. -533, -7, 0, 2, 893 Sort 3, 0, 1, 6136 in descending order. 6136, 3, 1, 0 Sort 1/3, 859679, -2/3, -5/3. -5/3, -2/3, 1/3, 859679 Put 4, 1, 2179, 61 in descending order. 2179, 61, 4, 1 Put -4490, 1, 2, 5, -2, -1, -14 in increasing order. -4490, -14, -2, -1, 1, 2, 5 Put 17, 3, 6, -8, -729, 4 in ascending order. -729, -8, 3, 4, 6, 17 Put -5, -61765, 10 in increasing order. -61765, -5, 10 Sort 2.796064, -1, 3/11. -1, 3/11, 2.796064 Sort -5, 690, 7, 2, 1437 in descending order. 1437, 690, 7, 2, -5 Sort -5, 681, -1745, 0 in decreasing order. 681, 0, -5, -1745 Put 0.8, 47729, 5 in increasing order. 0.8, 5, 47729 Put 2/183, 1/6, -117, 2/159 in ascending order. -117, 2/183, 2/159, 1/6 Put 0, -1, 4046 in descending order. 4046, 0, -1 Put 1319283, 15, 2 in descending order. 1319283, 15, 2 Put 33, -34, -0.4, -45 in decreasing order. 33, -0.4, -34, -45 Sort -87, -36, -5, -142.11 in decreasing order. -5, -36, -87, -142.11 Put 63, -4, 5, 34, 4 in ascending order. -4, 4, 5, 34, 63 Put -5, 114059, 7 in ascending order. -5, 7, 114059 Put 146.3, 223/4, -0.1, 1 in descending order. 146.3, 223/4, 1, -0.1 Put 0, -424, -273 in decreasing order. 0, -273, -424 Sort -27, 41, 0, -12, -3, 12 in ascending order. -27, -12, -3, 0, 12, 41 Sort -0.1, -0.1056278, -79. -79, -0.1056278, -0.1 Put 3566, 2, 1, -4, 3, 0, -6 in decreasing order. 3566, 3, 2, 1, 0, -4, -6 Sort -70, 2, -1, 3, -12, -2, 0. -70, -12, -2, -1, 0, 2, 3 Put 5, 1, -111, -66337, -3, -2 in descending order. 5, 1, -2, -3, -111, -66337 Put 1203, -179, 4, 59, -2 in increasing order. -179, -2, 4, 59, 1203 Sort -104634, -5, -3343 in increasing order. -104634, -3343, -5 Sort 31956, -0.05, 2, -7. -7, -0.05, 2, 31956 Put 2, 78, 180, -39 in increasing order. -39, 2, 78, 180 Sort 4/28601, 1, -4, -7, -1 in ascending order. -7, -4, -1, 4/28601, 1 Put 0, 33, 1287160, -2/7 in decreasing order. 1287160, 33, 0, -2/7 Sort 130, 1/9, 0, 3, -0.3, -9.9, -1 in descending order. 130, 3, 1/9, 0, -0.3, -1, -9.9 Sort 524, -0.2, 7, -1612. -1612, -0.2, 7, 524 Sort -822, -5, -206, 4, 6 in increasing order. -822, -206, -5, 4, 6 Sort 0, 2, 25, -8926 in ascending order. -8926, 0, 2, 25 Sort 1, 9, -22904441 in decreasing order. 9, 1, -22904441 Sort 31, -1, 322336, -3 in descending order. 322336, 31, -1, -3 Sort -365, -1/4, -1/50, 48 in increasing order. -365, -1/4, -1/50, 48 Sort 0, -5, -4, 101933, -1, -2/7 in descending order. 101933, 0, -2/7, -1, -4, -5 Sort 9.7, -117, -8, -1, 0.5 in increasing order. -117, -8, -1, 0.5, 9.7 Sort -2/5437, 1, -1, 0.1108. -1, -2/5437, 0.1108, 1 Sort 40, 38.915, -0.5 in ascending order. -0.5, 38.915, 40 Sort -51, -3, 26, 2474 in decreasing order. 2474, 26, -3, -51 Put 696, -57, -5, -15 in ascending order. -57, -15, -5, 696 Put -3, -1/4, -0.040179, -273 in decreasing order. -0.040179, -1/4, -3, -273 Sort -2/6411, 292.3, -4, 0.4 in decreasing order. 292.3, 0.4, -2/6411, -4 Sort 128279/3, -0.01, -0.3 in descending order. 128279/3, -0.01, -0.3 Put 54259, -4, -5 in descending order. 54259, -4, -5 Put 16, 0, 1, -222, 3 in descending order. 16, 3, 1, 0, -222 Sort 0.5, 1, 88092/7, -0.1, 0.4 in descending order. 88092/7, 1, 0.5, 0.4, -0.1 Sort 1, 48, -3, -11, -217. -217, -11, -3, 1, 48 Put 111, -1/13, 623, 7, 5 in descending order. 623, 111, 7, 5, -1/13 Sort 0, -5, 617.34, -3/25. -5, -3/25, 0, 617.34 Put -1, -4/9, -1352, 1837, 2 in increasing order. -1352, -1, -4/9, 2, 1837 Put -18, -1, -490, -2 in decreasing order. -1, -2, -18, -490 Sort -5, 2800, 534 in decreasing order. 2800, 534, -5 Sort -0.5, 2118.4733, -2. -2, -0.5, 2118.4733 Sort 245, -1, 1, -43, 11 in increasing order. -43, -1, 1, 11, 245 Put -2.7, -14, 5/4, -5, -13, 2/7 in descending order. 5/4, 2/7, -2.7, -5, -13, -14 Sort 1894, -4, -8, -2/9, -1/4 in ascending order. -8, -4, -1/4, -2/9, 1894 Put 1856, 6942, -1 in ascending order. -1, 1856, 6942 Put 233, 774, -23, 7 in increasing order. -23, 7, 233, 774 Sort -7114, 1/7, -24, -0.2 in decreasing order. 1/7, -0.2, -24, -7114 Sort -19/7, 8.5, 1/43 in decreasing order. 8.5, 1/43, -19/7 Put -1, -834, -2, 33, -3, -8 in increasing order. -834, -8, -3, -2, -1, 33 Sort -7, 6, -3939, 4, 67, -2, 5. -3939, -7, -2, 4, 5, 6, 67 Put -3, 0, 1, -14, -2, -147, -145 in increasing order. -147, -145, -14, -3, -2, 0, 1 Sort 10, -4, -362, -2, 2, -3, -13 in descending order. 10, 2, -2, -3, -4, -13, -362 Sort 1/6, -0.0106, 21, 15806 in descending order. 15806, 21, 1/6, -0.0106 Put -4321, 0.952, 0.2 in decreasing order. 0.952, 0.2, -4321 Sort 0.1, 1, -3, -4, -1513441. -1513441, -4, -3, 0.1, 1 Sort 2/13, -1, 23.698, 1 in descending order. 23.698, 1, 2/13, -1 Put -4/51, 1/6, -199, -42 in ascending order. -199, -42, -4/51, 1/6 Sort 8, 745, 981 in decreasing order. 981, 745, 8 Sort 4, 106, -4, 97, 51 in decreasing order. 106, 97, 51, 4, -4 Sort -97, 3, -3, -4701. -4701, -97, -3, 3 Sort -3, 49767, 15. -3, 15, 49767 Sort 0.06, -0.1, -0.4, -5, 1503369. -5, -0.4, -0.1, 0.06, 1503369 Sort -1, -5, 2, -48, 37, 50, 0 in increasing order. -48, -5, -1, 0, 2, 37, 50 Put -0.15, -47, -0.4, -42, -10 in ascending order. -47, -42, -10, -0.4, -0.15 Sort 1/4, 1, 206.7, 2, -7 in descending order. 206.7, 2, 1, 1/4, -7 Sort 148, -0.5, 331420 in descending order. 331420, 148, -0.5 Sort 227, -0.3, -2, 1/5, -3, -1/2 in descending order. 227, 1/5, -0.3, -1/2, -2, -3 Sort -866.32, 14, -3/2. -866.32, -3/2, 14 Sort -126, 4, 260, -33, 2. -126, -33, 2, 4, 260 Put 0.4, 143, 0.1, 1, 4, -2, 0.5 in descending order. 143, 4, 1, 0.5, 0.4, 0.1, -2 Sort -18, 3, -5, 7, 228, 0, 1 in descending order. 228, 7, 3, 1, 0, -5, -18 Sort 0, -8, 2944, 7 in increasing order. -8, 0, 7, 2944 Put 2, -78, -7, 3, 5, -4, 54 in decreasing order. 54, 5, 3, 2, -4, -7, -78 Sort 0.2, -11, -3, -88/43, 0. -11, -3, -88/43, 0, 0.2 Sort 6, -818684, 25 in decreasing order. 25, 6, -818684 Sort -40, -303, -29, -4. -303, -40, -29, -4 Put 0.02, 1/10, 469688 in decreasing order. 469688, 1/10, 0.02 Sort -28, 2/337, -1, 2/7 in increasing order. -28, -1, 2/337, 2/7 Put 340, -0.7, -2/3, 0.0339 in decreasing order
{ "pile_set_name": "DM Mathematics" }
749 What is 9658.396 millennia in decades? 965839.6 How many grams are there in three tenths of a kilogram? 300 What is 1/5 of a kilometer in meters? 200 What is 51268.18m in centimeters? 5126818 What is 44797.266ns in days? 0.000000000518486875 What is 21/4 of a hour in seconds? 18900 How many months are there in 0.903221 decades? 108.38652 What is 55372.95ml in litres? 55.37295 How many decades are there in three fifths of a century? 6 What is 17/2 of a centimeter in millimeters? 85 What is four fifteenths of a millennium in months? 3200 What is fourty-three halves of a milligram in micrograms? 21500 How many nanograms are there in 29/5 of a microgram? 5800 What is 72.31914 seconds in hours? 0.02008865 What is 14103.54 kilograms in micrograms? 14103540000000 How many months are there in 1/20 of a millennium? 600 What is 1/10 of a millennium in months? 1200 What is seven sixths of a millennium in months? 14000 What is 8/25 of a gram in milligrams? 320 What is three sixteenths of a week in minutes? 1890 How many millimeters are there in 5.502424 kilometers? 5502424 What is 12/25 of a litre in millilitres? 480 What is 79.4567l in millilitres? 79456.7 What is 90.50102 centuries in years? 9050.102 What is 3/5 of a litre in millilitres? 600 What is two fifteenths of a millennium in months? 1600 How many nanometers are there in 518.1966 meters? 518196600000 What is 21/5 of a millisecond in microseconds? 4200 Convert 6161.709m to micrometers. 6161709000 What is 3/8 of a gram in milligrams? 375 What is 13/4 of a kilometer in meters? 3250 What is 31/5 of a hour in seconds? 22320 What is 4/3 of a decade in months? 160 What is 2.004277 centuries in months? 2405.1324 What is three tenths of a milligram in micrograms? 300 How many years are there in fourty-five halves of a millennium? 22500 What is thirty-four fifths of a millimeter in micrometers? 6800 What is twenty-one halves of a litre in millilitres? 10500 How many millilitres are there in 15/4 of a litre? 3750 What is 3/10 of a litre in millilitres? 300 How many micrometers are there in 6/5 of a millimeter? 1200 What is one fifth of a litre in millilitres? 200 How many nanograms are there in 69/2 of a microgram? 34500 What is 1/9 of a hour in seconds? 400 What is 239.5039ml in litres? 0.2395039 What is 274753.1 milligrams in grams? 274.7531 How many weeks are there in 13977712.35 microseconds? 0.000023111296875 What is 6/5 of a century in decades? 12 What is twenty-seven halves of a tonne in kilograms? 13500 How many meters are there in three tenths of a kilometer? 300 What is thirty-one halves of a micrometer in nanometers? 15500 How many microseconds are there in 7/4 of a millisecond? 1750 What is 28963.245 months in years? 2413.60375 How many micrograms are there in twenty-one fifths of a milligram? 4200 How many seconds are there in thirteen fifths of a hour? 9360 What is 41.8861 millilitres in litres? 0.0418861 What is 1/5 of a meter in centimeters? 20 Convert 14377.25 micrometers to meters. 0.01437725 How many litres are there in 702.6255 millilitres? 0.7026255 What is 1.334488 millilitres in litres? 0.001334488 How many micrometers are there in 62.96935 centimeters? 629693.5 How many litres are there in 0.3384862ml? 0.0003384862 How many grams are there in 35427.57 nanograms? 0.00003542757 What is 5/4 of a millennium in months? 15000 How many months are there in 8/3 of a year? 32 How many months are there in 7421.954 years? 89063.448 Convert 3.230956 centuries to decades. 32.30956 How many micrometers are there in fifteen quarters of a centimeter? 37500 What is 1/4 of a meter in centimeters? 25 Convert 438.0668 hours to seconds. 1577040.48 How many millilitres are there in thirteen fifths of a litre? 2600 What is 21/2 of a gram in milligrams? 10500 What is 0.9142513 meters in nanometers? 914251300 What is one sixth of a hour in seconds? 600 What is 2.2925151 milliseconds in hours? 0.00000063680975 Convert 66292.87 kilometers to meters. 66292870 Convert 80880.71 days to seconds. 6988093344 What is one tenth of a millimeter in micrometers? 100 What is fifteen quarters of a litre in millilitres? 3750 How many nanograms are there in 2.410056ug? 2410.056 What is one tenth of a millennium in years? 100 What is 0.062707 weeks in seconds? 37925.1936 How many millilitres are there in 26/5 of a litre? 5200 How many millilitres are there in thirty-two fifths of a litre? 6400 How many millilitres are there in sixty-seven fifths of a litre? 13400 How many months are there in 1/4 of a century? 300 What is fifteen quarters of a millennium in months? 45000 How many millilitres are there in 11/8 of a litre? 1375 What is 27/2 of a kilogram in grams? 13500 How many milligrams are there in 27/4 of a gram? 6750 What is 26.68313 days in milliseconds? 2305422432 How many months are there in 566047.5 decades? 67925700 What is 11/10 of a litre in millilitres? 1100 How many months are there in 19723.02 years? 236676.24 What is 3/40 of a kilometer in millimeters? 75000 Convert 19.36992 kilograms to milligrams. 19369920 How many milligrams are there in one fifth of a gram? 200 How many kilograms are there in 9.4641 micrograms? 0.0000000094641 How many millimeters are there in 7/4 of a meter? 1750 How many months are there in 3/16 of a century? 225 What is 2/45 of a day in minutes? 64 What is 55/4 of a meter in centimeters? 1375 What is one fifth of a century in years? 20 What is 1/9 of a day in minutes? 160 What is 1/5 of a milligram in micrograms? 200 What is 5.774934 months in millennia? 0.0004812445 Convert 44408.94mg to tonnes. 0.00004440894 How many meters are there in 6/25 of a kilometer? 240 Convert 77920.37 milliseconds to microseconds. 77920370 What is 3/5 of a centimeter in millimeters? 6 What is twenty-six fifths of a centimeter in micrometers? 52000 What is three eighths of a litre in millilitres? 375 How many nanograms are there in 1/10 of a microgram? 100 What is 0.6419132 litres in millilitres? 641.9132 What is 28933.18ml in litres? 28.93318 What is one fifth of a century in years? 20 What is 0.513339t in nanograms? 513339000000000 How many millilitres are there in 1/4 of a litre? 250 How many months are there in nine tenths of a century? 1080 What is 2182749.6 months in centuries? 1818.958 Convert 6919.503 millennia to years. 6919503 How many milligrams are there in 0.8414942 kilograms? 841494.2 What is 7/4 of a year in months? 21 How many millimeters are there in 9962.639 micrometers? 9.962639 What is 1/4 of a gram in milligrams? 250 How many centuries are there in thirteen fifths of a millennium? 26 How many months are there in 95.48276 millennia? 1145793.12 What is 991.1636 nanometers in centimeters? 0.00009911636 How many millilitres are there in 3/40 of a litre? 75 Convert 0.8931079mm to micrometers. 893.1079 What is 131230.95 months in decades? 1093.59125 How many months are there in 1/4 of a year? 3 What is 7.843424ug in kilograms? 0.000000007843424 What is one fifth of a litre in millilitres? 200 What is fourty-three thirds of a week in hours? 2408 What is eighteen fifths of a centimeter in millimeters? 36 What is 2150.113 decades in centuries? 215.0113 How many years are there in 11/2 of a millennium? 5500 How many micrometers are there in 9263.979 kilometers? 9263979000000 What is 8/7 of a week in days? 8 How many millilitres are there in seven eighths of a litre? 875 What is 12.922416 months in years? 1.076868 What is 27/2 of a kilometer in meters? 13500 What is 8773.527 millennia in decades? 877352.7 Convert 846735.8t to nanograms. 846735800000000000000 How many milligrams are there in 6033.569 nanograms? 0.006033569 What is 76.64411ns in milliseconds? 0.00007664411 How many micrometers are there in 93.63111 kilometers? 93631110000 What is 69501.44km in meters? 69501440 How many months are there in three fifths of a decade? 72 What is 997611.4 milliseconds in seconds? 997.6114 What is seventeen sixths of a minute in seconds? 170 What is 20298.2 kilograms in micrograms? 20298200000000 How many litres are there in 4.261699ml? 0.004261699 What is fifteen quarters of a milligram in micrograms? 3750 Convert 42609.51l to millilitres. 42609510 How many seconds are there in 52/3 of a hour? 62400
{ "pile_set_name": "DM Mathematics" }
PM? 443 How many minutes are there between 10:41 AM and 10:21 PM? 700 What is 549 minutes after 9:59 PM? 7:08 AM What is 195 minutes after 11:09 PM? 2:24 AM How many minutes are there between 8:15 AM and 7:34 PM? 679 What is 172 minutes before 5:26 AM? 2:34 AM What is 246 minutes after 6:57 AM? 11:03 AM What is 402 minutes after 12:45 PM? 7:27 PM What is 605 minutes after 7:00 PM? 5:05 AM What is 607 minutes before 6:51 AM? 8:44 PM What is 149 minutes after 8:53 AM? 11:22 AM How many minutes are there between 3:28 PM and 12:14 AM? 526 What is 453 minutes after 9:12 PM? 4:45 AM How many minutes are there between 7:21 AM and 1:15 PM? 354 What is 277 minutes before 6:47 PM? 2:10 PM What is 391 minutes before 12:35 PM? 6:04 AM What is 345 minutes before 10:40 AM? 4:55 AM How many minutes are there between 4:26 PM and 6:02 PM? 96 How many minutes are there between 12:26 AM and 10:10 AM? 584 What is 496 minutes before 6:24 PM? 10:08 AM How many minutes are there between 12:22 PM and 3:07 PM? 165 How many minutes are there between 7:26 AM and 6:30 PM? 664 What is 546 minutes after 2:40 PM? 11:46 PM What is 6 minutes after 8:26 PM? 8:32 PM What is 570 minutes before 1:42 AM? 4:12 PM How many minutes are there between 9:53 PM and 7:44 AM? 591 What is 171 minutes after 2:17 AM? 5:08 AM How many minutes are there between 9:36 AM and 3:17 PM? 341 How many minutes are there between 10:11 PM and 4:24 AM? 373 What is 454 minutes after 6:07 PM? 1:41 AM What is 33 minutes before 6:51 AM? 6:18 AM How many minutes are there between 2:24 PM and 6:28 PM? 244 How many minutes are there between 6:10 PM and 4:01 AM? 591 How many minutes are there between 6:49 AM and 12:44 PM? 355 How many minutes are there between 1:50 AM and 1:45 PM? 715 How many minutes are there between 10:09 AM and 8:34 PM? 625 How many minutes are there between 5:10 AM and 10:25 AM? 315 What is 596 minutes before 11:18 PM? 1:22 PM How many minutes are there between 8:04 AM and 9:26 AM? 82 What is 204 minutes after 1:00 AM? 4:24 AM What is 419 minutes after 5:58 AM? 12:57 PM What is 372 minutes after 12:12 AM? 6:24 AM How many minutes are there between 7:57 AM and 5:42 PM? 585 What is 286 minutes after 7:20 PM? 12:06 AM What is 2 minutes after 6:55 AM? 6:57 AM How many minutes are there between 11:54 AM and 12:42 PM? 48 What is 296 minutes after 7:37 AM? 12:33 PM What is 211 minutes before 11:34 PM? 8:03 PM What is 103 minutes after 6:34 PM? 8:17 PM What is 36 minutes after 2:19 PM? 2:55 PM What is 597 minutes before 10:59 AM? 1:02 AM What is 697 minutes before 8:51 AM? 9:14 PM What is 428 minutes before 8:43 PM? 1:35 PM What is 685 minutes after 1:43 PM? 1:08 AM How many minutes are there between 12:25 PM and 11:47 PM? 682 What is 587 minutes after 2:33 PM? 12:20 AM How many minutes are there between 7:14 PM and 8:03 PM? 49 What is 685 minutes after 2:18 PM? 1:43 AM What is 458 minutes after 2:38 AM? 10:16 AM How many minutes are there between 11:42 PM and 11:30 AM? 708 How many minutes are there between 7:51 AM and 3:24 PM? 453 What is 599 minutes before 5:50 AM? 7:51 PM What is 166 minutes after 1:48 PM? 4:34 PM What is 237 minutes before 8:26 AM? 4:29 AM How many minutes are there between 9:39 PM and 8:55 AM? 676 How many minutes are there between 6:36 AM and 5:15 PM? 639 What is 191 minutes after 2:33 PM? 5:44 PM What is 296 minutes before 9:47 PM? 4:51 PM How many minutes are there between 6:24 PM and 12:24 AM? 360 How many minutes are there between 3:57 PM and 3:09 AM? 672 How many minutes are there between 9:23 PM and 2:02 AM? 279 How many minutes are there between 12:34 AM and 7:44 AM? 430 How many minutes are there between 7:15 PM and 9:34 PM? 139 What is 310 minutes after 5:07 AM? 10:17 AM What is 472 minutes before 11:59 PM? 4:07 PM How many minutes are there between 8:38 AM and 6:20 PM? 582 What is 463 minutes before 11:18 AM? 3:35 AM What is 702 minutes after 10:21 AM? 10:03 PM How many minutes are there between 9:31 AM and 6:19 PM? 528 How many minutes are there between 11:58 AM and 1:09 PM? 71 What is 236 minutes before 11:19 PM? 7:23 PM What is 418 minutes after 8:58 PM? 3:56 AM How many minutes are there between 6:53 PM and 7:20 PM? 27 How many minutes are there between 1:42 AM and 6:38 AM? 296 What is 103 minutes after 7:20 AM? 9:03 AM What is 388 minutes before 6:49 AM? 12:21 AM What is 135 minutes after 4:30 AM? 6:45 AM How many minutes are there between 11:42 PM and 5:04 AM? 322 What is 708 minutes after 6:13 PM? 6:01 AM How many minutes are there between 9:11 PM and 5:35 AM? 504 How many minutes are there between 9:41 AM and 3:18 PM? 337 How many minutes are there between 7:26 PM and 7:21 AM? 715 How many minutes are there between 10:45 PM and 7:57 AM? 552 What is 371 minutes after 1:28 PM? 7:39 PM What is 568 minutes before 10:29 AM? 1:01 AM How many minutes are there between 8:22 AM and 5:25 PM? 543 What is 667 minutes before 11:13 PM? 12:06 PM What is 410 minutes after 2:35 PM? 9:25 PM How many minutes are there between 3:01 AM and 6:30 AM? 209 How many minutes are there between 2:31 PM and 11:34 PM? 543 What is 102 minutes before 12:37 PM? 10:55 AM What is 310 minutes after 6:56 AM? 12:06 PM What is 110 minutes before 9:03 PM? 7:13 PM What is 643 minutes after 9:38 AM? 8:21 PM How many minutes are there between 5:25 PM and 2:43 AM? 558 What is 89 minutes before 6:25 AM? 4:56 AM What is 704 minutes before 10:55 PM? 11:11 AM What is 194 minutes after 5:43 AM? 8:57 AM How many minutes are there between 8:08 PM and 2:46 AM? 398 What is 115 minutes after 7:13 PM? 9:08 PM What is 652 minutes before 8:16 PM? 9:24 AM What is 617 minutes before 11:31 PM? 1:14 PM How many minutes are there between 9:56 AM and 2:45 PM? 289 How many minutes are there between 10:11 PM and 1:42 AM? 211 How many minutes are there between 7:09 PM and 5:36 AM? 627 What is 581 minutes before 8:33 PM? 10:52 AM How many minutes are there between 2:49 PM and 8:17 PM? 328 How many minutes are there between 10:54 AM and 5:53 PM? 419 What is 605 minutes before 3:13 PM? 5:08 AM What is 107 minutes after 11:29 AM? 1:16 PM What is 71 minutes after 4:12 PM? 5:23 PM What is 27 minutes after 5:00 PM? 5:27 PM How many minutes are there between 8:26 PM and 5:46 AM? 560 What is 560 minutes before 11:21 PM? 2:01 PM What is 414 minutes after 11:41 PM? 6:35 AM What is 223 minutes before 12:01 PM? 8:18 AM What is 303 minutes before 12:13 AM? 7:10 PM What is 277 minutes before 7:28 AM? 2:51 AM How many minutes are there between 3:21 PM and 3:04 AM? 703 How many minutes are there between 8:59 AM and 7:54 PM? 655 How many minutes are there between 7:00 AM and 5:05 PM? 605 How many minutes are there between 5:57 AM and 1:47 PM? 470 How many minutes are there between 8:37 PM and 6:54 AM? 617 How many minutes are there between 6:58 AM and 1:57 PM? 419 How many minutes are there between 4:29 AM and 4:13 PM? 704 What is 4 minutes after 1:26 AM? 1:30 AM What is 88 minutes after 3:52 AM? 5:20 AM How many minutes are there between 11:08 PM and 11:56 PM? 48 How many minutes are there between 7:44 PM and 11:47 PM? 243 How many minutes are there between 5:49 PM and 8:13 PM? 144 What is 663 minutes after 5:42 AM? 4:45 PM What is 240 minutes before 10:57 AM? 6:57 AM What is 639 minutes after 5:54 AM? 4:33 PM What is 446 minutes before 4:15 PM? 8:49 AM What is 185 minutes after 12:21 AM? 3:26 AM What is 657 minutes before 7:51 PM? 8:54 AM What is 243 minutes after 7:53 AM? 11:56 AM What is 315 minutes before 8:16 PM? 3:01 PM How many minutes are there between 7:15 AM and 5:04 PM? 589 How many minutes are there between 11:42 AM and 8:28 PM? 526 What is 88 minutes after 6:55 AM? 8:23 AM What is 472 minutes before 8:19 AM? 12:27 AM How many minutes are there between 11:19 AM and 11:09 PM? 710 How many minutes are there between 12:30 AM and 2:33 AM? 123 What is 296 minutes after 10:50 AM? 3:46 PM How many minutes are there between 11:59 PM and 1:28 AM? 89 What is 625 minutes before 6:19 AM? 7:54 PM How many minutes are there between 4:00 AM and 3:45 PM? 705 How many minutes are there between 12:07 PM and 8:44 PM? 517 What is 408 minutes before 11:57 PM? 5:09 PM What is 595 minutes before 4:27 AM? 6:32 PM How many minutes are there betwee
{ "pile_set_name": "DM Mathematics" }
9}. What is prob of sequence tbm? 3/272 Calculate prob of sequence hddd when four letters picked without replacement from {n: 4, j: 2, h: 1, d: 3, k: 1}. 1/1320 Calculate prob of sequence elre when four letters picked without replacement from muuemmemrguruemmllu. 1/3876 Four letters picked without replacement from eweqwdzee. Give prob of sequence dqee. 1/252 What is prob of sequence lyll when four letters picked without replacement from yllylllyly? 2/21 Calculate prob of sequence me when two letters picked without replacement from emezeeeemmeem. 8/39 What is prob of sequence wpp when three letters picked without replacement from pppwwppw? 5/28 Three letters picked without replacement from vqawgmw. What is prob of sequence awv? 1/105 Calculate prob of sequence fpk when three letters picked without replacement from xiifgpkxp. 1/252 Two letters picked without replacement from cuuuucuouccucuoxuco. Give prob of sequence oc. 1/19 Four letters picked without replacement from {t: 9, a: 2, d: 2, z: 2, u: 5}. What is prob of sequence aztd? 1/1615 What is prob of sequence akdn when four letters picked without replacement from {j: 1, o: 1, n: 2, k: 1, a: 1, d: 1}? 1/420 Calculate prob of sequence jx when two letters picked without replacement from jddfdfxjxjdjndd. 4/105 Calculate prob of sequence gt when two letters picked without replacement from {g: 2, n: 3, y: 3, t: 4, b: 2, f: 2}. 1/30 Calculate prob of sequence us when two letters picked without replacement from {t: 3, v: 1, s: 2, u: 1}. 1/21 What is prob of sequence axwa when four letters picked without replacement from xwxawaaaawawa? 14/715 Calculate prob of sequence dhd when three letters picked without replacement from pddvdhdhhhhdha. 5/91 Four letters picked without replacement from {e: 5, r: 5, n: 3}. Give prob of sequence rrer. 5/286 What is prob of sequence nnjh when four letters picked without replacement from {n: 2, u: 4, o: 1, j: 1, h: 2}? 1/1260 What is prob of sequence gtg when three letters picked without replacement from tgsygfqs? 1/168 Four letters picked without replacement from ehehee. Give prob of sequence ehee. 2/15 What is prob of sequence hmtt when four letters picked without replacement from {h: 5, t: 5, m: 2, w: 3, i: 5}? 5/2907 Two letters picked without replacement from {f: 6, e: 2}. Give prob of sequence ef. 3/14 Calculate prob of sequence bb when two letters picked without replacement from {o: 5, d: 3, b: 5}. 5/39 Two letters picked without replacement from {a: 2, k: 1}. Give prob of sequence ak. 1/3 What is prob of sequence gbb when three letters picked without replacement from bguubuguuubgbu? 3/182 Two letters picked without replacement from zrzraazrarrzrzzyrzf. Give prob of sequence za. 7/114 Four letters picked without replacement from {r: 1, c: 9, d: 10}. Give prob of sequence rdcd. 9/1292 Calculate prob of sequence bvb when three letters picked without replacement from vvqjqbhhbqvv. 1/165 Three letters picked without replacement from qqqmmqqqqqq. What is prob of sequence mmq? 1/55 Three letters picked without replacement from {g: 4, z: 1, h: 2, o: 1, j: 1, e: 3}. Give prob of sequence jze. 1/440 Calculate prob of sequence in when two letters picked without replacement from {i: 7, v: 2, o: 7, n: 1, d: 3}. 7/380 Two letters picked without replacement from csu. Give prob of sequence us. 1/6 What is prob of sequence cmq when three letters picked without replacement from {c: 4, y: 3, q: 4, m: 3}? 2/91 What is prob of sequence ez when two letters picked without replacement from {e: 1, d: 6, b: 4, z: 2, m: 3}? 1/120 Four letters picked without replacement from {k: 2, i: 3, t: 1, g: 1, n: 1, z: 4}. Give prob of sequence iikk. 1/990 What is prob of sequence yj when two letters picked without replacement from yjyyyyhjhyym? 7/66 Calculate prob of sequence xx when two letters picked without replacement from xxxxxxxxxx. 1 Calculate prob of sequence ej when two letters picked without replacement from {d: 2, b: 3, j: 1, q: 3, e: 1}. 1/90 Three letters picked without replacement from {x: 1, i: 9, n: 2, a: 2}. What is prob of sequence xna? 1/546 Three letters picked without replacement from {e: 4, g: 2, c: 1, z: 3}. What is prob of sequence gee? 1/30 Calculate prob of sequence bjjb when four letters picked without replacement from bmbbbbbjmrjrbb. 2/429 Calculate prob of sequence hl when two letters picked without replacement from lllhlllllhhllhlh. 11/48 What is prob of sequence uc when two letters picked without replacement from mcu? 1/6 Calculate prob of sequence gdgd when four letters picked without replacement from {g: 9, d: 3}. 2/55 Calculate prob of sequence jmmu when four letters picked without replacement from {q: 1, m: 4, j: 2, u: 2}. 1/63 What is prob of sequence grr when three letters picked without replacement from grrqxgxxgggpr? 5/286 Two letters picked without replacement from aapipmiippajipji. What is prob of sequence mj? 1/120 Three letters picked without replacement from {i: 8, r: 1, g: 4}. Give prob of sequence gig. 8/143 Two letters picked without replacement from {c: 4, q: 4, k: 3}. Give prob of sequence cq. 8/55 Calculate prob of sequence iihu when four letters picked without replacement from bghbhibhiuigbbhub. 1/1190 What is prob of sequence hhs when three letters picked without replacement from {s: 1, k: 7, h: 6}? 5/364 Three letters picked without replacement from rzzvgv. Give prob of sequence vzr. 1/30 What is prob of sequence kex when three letters picked without replacement from {x: 3, k: 3, e: 2, n: 10}? 1/272 What is prob of sequence fbu when three letters picked without replacement from bffffffffffffu? 1/182 Calculate prob of sequence ooa when three letters picked without replacement from oaaaaaaaaaaaaaoaaaaa. 1/190 Four letters picked without replacement from ssepzzlzplzppzpzszqz. Give prob of sequence sssq. 1/19380 Four letters picked without replacement from ssmsasuausauasu. What is prob of sequence aaum? 2/1365 Three letters picked without replacement from zhmssgz. What is prob of sequence ssh? 1/105 Two letters picked without replacement from {m: 4, r: 3, z: 2, k: 1, u: 1, g: 1}. What is prob of sequence zk? 1/66 Three letters picked without replacement from jqmqsdnm. Give prob of sequence dms. 1/168 Calculate prob of sequence ccc when three letters picked without replacement from {c: 4}. 1 Calculate prob of sequence yb when two letters picked without replacement from mybyrara. 1/28 Two letters picked without replacement from nmnzmzznzmnnn. Give prob of sequence mm. 1/26 Two letters picked without replacement from {i: 1, u: 1, w: 1}. Give prob of sequence wi. 1/6 What is prob of sequence vvxm when four letters picked without replacement from mmvnivxrvniv? 1/495 Two letters picked without replacement from vfwvzzhhvzwwwwh. Give prob of sequence zv. 3/70 Calculate prob of sequence sn when two letters picked without replacement from nnsnsncssnssnnnnns. 35/153 Calculate prob of sequence ekke when four letters picked without replacement from kekkkkkkee. 1/20 What is prob of sequence vvva when four letters picked without replacement from {a: 3, v: 7}? 1/8 What is prob of sequence wwbb when four letters picked without replacement from {w: 2, b: 5}? 1/21 Calculate prob of sequence rgf when three letters picked without replacement from frrfrfggrffrr. 5/143 What is prob of sequence vhhl when four letters picked without replacement from vlhilhlhkvkigi? 3/2002 What is prob of sequence kh when two letters picked without replacement from hlklkskkkssklkkksk? 5/153 Two letters picked without replacement from kwhhnwwwwwzhhswnshwh. What is prob of sequence nk? 1/190 Four letters picked without replacement from uuiiiizrurcuuuuu. What is prob of sequence uizi? 1/455 Three letters picked without replacement from wwwwppwwpsyy. Give prob of sequence spy. 1/220 What is prob of sequence ssg when three letters picked without replacement from ggss? 1/6 Calculate prob of sequence pppp when four letters picked without replacement from ppppp. 1 Two letters picked without replacement from {f: 7}. What is prob of sequence ff? 1 Calculate prob of sequence cj when two letters picked without replacement from jjycjcyxay. 1/15 Two letters picked without replacement from hhfh. What
{ "pile_set_name": "DM Mathematics" }
False Is 19134821621 a composite number? True Is 55139333 a prime number? True Is 102457164071 prime? False Is 2034487713 prime? False Is 7497764011 a composite number? True Is 326491199 composite? False Is 408344064355 prime? False Is 14709188267 a composite number? False Is 335274997 a composite number? False Is 22914250721 composite? False Is 8187264037 a prime number? True Is 2075301395 a composite number? True Is 189673643699 prime? True Is 16753205093 a prime number? True Is 2350697471 a composite number? False Is 75771188407 a prime number? False Is 950505533 prime? False Is 23798188103 a prime number? True Is 5473683767 a composite number? False Is 315315075883 composite? False Is 10828453351 a composite number? False Is 7516002329 a prime number? False Is 2560469663 prime? False Is 6312144583 a composite number? False Is 461026309 composite? False Is 752137189 a composite number? True Is 72105364613 a composite number? True Is 1186687739 composite? False Is 8056183691 composite? True Is 37834150579 a prime number? True Is 327989287 prime? True Is 3452315449 a prime number? False Is 201702499 a prime number? False Is 6479211937 a prime number? False Is 6610505639 a composite number? False Is 776798381 a prime number? True Is 7092573689 a prime number? False Is 8345995639 prime? False Is 3872159099 composite? False Is 4221652397 a prime number? False Is 24085297031 prime? True Is 5702065739 a composite number? False Is 958038031 a composite number? True Is 5070309499 prime? False Is 9579885619 a prime number? False Is 505998359 a prime number? True Is 946448707 prime? False Is 322475899 a prime number? True Is 4760825879 a composite number? True Is 1510982155 a composite number? True Is 1189159351 a composite number? False Is 1387656157 prime? True Is 1470726403 prime? False Is 13661844193 a prime number? True Is 209414797237 a composite number? True Is 9696207685 a composite number? True Is 2133090299 a prime number? False Is 4942640429 prime? False Is 23802936263 composite? True Is 22169050759 prime? True Is 33435440327 a prime number? True Is 363061340323 a composite number? True Is 2504425369 a prime number? True Is 13938521849 prime? False Is 7514787391 prime? True Is 678682657 composite? False Is 3257127239 composite? False Is 6546964447 a prime number? True Is 4344235517 prime? False Is 11285634077 a composite number? False Is 4172389381 composite? False Is 15752583601 a composite number? False Is 212358567 prime? False Is 11477217 composite? True Is 10722847151 composite? True Is 5000671031 a composite number? False Is 1247208871 a composite number? False Is 20529216361 a prime number? False Is 4118544851 composite? True Is 870380319 a composite number? True Is 25334131781 a composite number? True Is 32448572627 prime? False Is 3441645479 a prime number? True Is 108311014649 a prime number? True Is 174761771 prime? False Is 2560264843 prime? False Is 191642138113 prime? False Is 17584847531 composite? False Is 5742382487 a prime number? True Is 8344930631 a prime number? False Is 44761037551 a composite number? False Is 6782005489 a prime number? False Is 17230027831 composite? False Is 2290025963 prime? True Is 5085233507 a composite number? True Is 4977162271 a prime number? False Is 1655360887 a composite number? False Is 226911449 a prime number? True Is 1174503457 composite? False Is 1499980961 composite? True Is 4819854583 a composite number? True Is 151452144071 composite? False Is 193433861 composite? False Is 2450830423 a composite number? False Is 1038053553 composite? True Is 1333735789 composite? False Is 9413069329 composite? True Is 128479836587 a composite number? False Is 1925326787 a composite number? False Is 11479498649 composite? True Is 54028379861 a prime number? True Is 28080847 composite? False Is 2902684087 a composite number? True Is 110465339861 composite? True Is 8448249241 prime? False Is 11802755639 composite? True Is 147638887 composite? True Is 1914023873 a prime number? True Is 60450029 a prime number? True Is 103576391539 composite? False Is 410870219 composite? False Is 2644441607 prime? False Is 1083867887 a composite number? True Is 335209701173 a composite number? False Is 9548204507 composite? True Is 1276378673 prime? False Is 7499613697 a composite number? True Is 349656502345 a prime number? False Is 52409201101 a prime number? False Is 126614909 composite? False Is 689794921 a prime number? False Is 578565551 a prime number? True Is 780430619 a prime number? False Is 560513198131 a composite number? False Is 79346566727 composite? False Is 541886369 composite? True Is 928627837 a prime number? False Is 62166601309 composite? True Is 6927664057 prime? False Is 110657419 composite? False Is 1186595519 prime? False Is 130721973 a composite number? True Is 26180069369 a composite number? True Is 5260478423 prime? True Is 8861632951 composite? True Is 13020158615 composite? True Is 91809541 a composite number? False Is 38468685001 a composite number? True Is 1869355897 composite? False Is 1570960957 composite? False Is 224324423 composite? False Is 673275413 a prime number? True Is 76079471483 a composite number? False Is 591297643 prime? True Is 26808934909 composite? True Is 12874217887 a composite number? True Is 1556472551 a prime number? False Is 68118014905 a prime number? False Is 17796584891 composite? True Is 6771048599 prime? False Is 2343252959 a prime number? False Is 97873067581 a composite number? False Is 1052469541 prime? False Is 4073002013 a composite number? True Is 3443007731 a prime number? False Is 8561784799 composite? True Is 153134381 a prime number? True Is 33414888509 a prime number? False Is 350048963 composite? True Is 123979878658 a prime number? False Is 4119863341 prime? False Is 2669251511 a prime number? True Is 2561282947 a prime number? False Is 231322997 prime? True Is 263168727373 a prime number? False Is 4030377517 prime? True Is 13078708601 prime? False Is 791666803 a prime number? False Is 6361940641 composite? True Is 746015737 a prime number? False Is 115278420239 a prime number? True Is 572054291 prime? True Is 333217301 a prime number? False Is 196342807301 a composite number? False Is 5387009627 prime? True Is 242060250473 composite? False Is 8199497279 prime? True Is 12759748681 prime? True Is 3112274329 a prime number? True Is 2982572203 prime? False Is 81406243 a composite number? False Is 641776921 composite? False Is 637669967 a composite number? True Is 21936675459 composite? True Is 1841942569 composite? True Is 52970418463 prime? False Is 2099820823 prime? False Is 1481850653 a composite number? False Is 87478045717 a composite number? False Is 382476433 composite? True Is 590612411 a composite number? True Is 2898259027 prime? False Is 132656551 a prime number? True Is 170322370573 prime? True Is 35652255113 composite? True Is 407322869 composite? True Is 12482677367 a prime number? True Is 3236346847 a prime number? True Is 8487831569 a prime number? False Is 5337653927 prime? True Is 665169541 composite? True Is 13605166349 a prime number? False Is 8304710423 a prime number? True Is 7730381 a composite number? True Is 267887057 prime? True Is 327871939 a prime number? False Is 2940329891 prime? False Is 56315050031 a composite number? True Is 13030657793 composite? True Is 492140459 a composite number? False Is 11741067371 a composite number? True Is 34736620307 a prime number? False Is 206112291059 a prime number? False Is 111036203843 composite? False Is 33523003 a prime number? True Is 2634485863 a prime number? True Is 78239060173 composite? True Is 3588141911 prime? True Is 20295413 prime? False Is 1624747637 a composite number? False Is 27843240233 a composite number? False Is 2791997137 a composite number? False Is 7411517714 prime? False Is 841063501 prime? True Is 9719113799 a composite number? False Is 21822664553 composite? True Is 1580215783 composite? True Is 4055442793 composite? True Is 1270589371 composite? True Is 590585999 composite? True Is 3674785267 prime? True Is 206334407 a prime number? True Is 29315816483 a composite number? False Is 33296567 prime? True Is 4168448413 prime? False Is 7987176047 a composit
{ "pile_set_name": "DM Mathematics" }
he second derivative of 1/2*x**3 - 1/12*x**4 + 0 + x**2 - 2*x. Let r = 4 + -1. Calculate f(r). 2 Let x be 6*-1*(0 - -1). Suppose -3*v + 3*l = 33, 0*v + 3*l = v + 15. Let a be 51/v - 4/x. Let r(z) = -z**2 - 4*z + 5. Determine r(a). 0 Let y(l) = l + 2. Suppose -4*j + 30 = -34. Suppose -20 = -j*a + 11*a. Determine y(a). 6 Let g(r) = -114*r + 59*r - 3 + 57*r. What is g(-4)? -11 Let q(f) be the first derivative of 1/3*f**3 + 6*f - 1 - 1/2*f**2. Determine q(0). 6 Let h(n) be the first derivative of -n**2 - 3*n - 5. Give h(-2). 1 Suppose 0 = 7*l - 4*l + 18. Let j(n) = n + 13. What is j(l)? 7 Let g(x) = 0 + x + 0*x + 2. Suppose 0 = 3*n + n - 12. Suppose -4*a + z = a + 15, 0 = -5*a + n*z - 15. Give g(a). -1 Let w(c) = 124 + 0*c**3 - 120 + 0*c - c**3 + 7*c**2 - 7*c. Give w(6). -2 Let c(o) be the third derivative of o**9/6048 + o**8/20160 - o**6/720 + o**5/20 + o**2. Let n(b) be the third derivative of c(b). Give n(1). 10 Let o(h) = -h**3 - 4*h**2 + 2*h + 3. Suppose 2*r = -0*r - 6. Give o(r). -12 Let u(r) = -r + 2. Let m be (-16)/(-2) - (1 + 0). Suppose 0 = 3*l - m*l + 3*i + 29, -i = 2*l - 7. What is u(l)? -3 Let h(r) = r**2 + 2*r + 1. Let q(n) = -1. Let d(s) = -h(s) - 6*q(s). Let p be (-2 + 1)*(-3 + 8). Determine d(p). -10 Let w(x) = -x - 2. Let a be w(-4). Let k(v) = a - 2*v**2 + 4*v**2 + 2*v - 3*v**2. Let t = -57 - -61. Give k(t). -6 Let k(i) = -3*i - 114. Let z be k(-36). Let f(b) = 48*b + 129. Let u(c) = -3*c - 8. Let q(n) = -2*f(n) - 33*u(n). Give q(z). -12 Let r be (1 - 3) + 2 - 6. Let k(u) be the third derivative of -u**6/120 - u**5/12 + u**4/4 + 3*u**3/2 - 51*u**2. Calculate k(r). 9 Let i(u) = u**3 + 3*u - 2*u**2 - 37 - 5*u + 36. Let v = 14 + -11. Determine i(v). 2 Let c(j) = -j**2 + 7*j - 6. Let h = -123 + 127. Give c(h). 6 Let z(q) = -q**2 - 3*q + 1. Let u(b) = -6*b**2 - 14*b + 4. Let s(x) = 2*u(x) - 9*z(x). Suppose 0*t = t + 1. Calculate s(t). -3 Suppose -l = 4*l - 30. Let i(a) = a**3 - 3 + 4 + 3*a - 6*a**2 - 4*a + 0*a. Calculate i(l). -5 Let i be (-6 - -1)*(-4)/10. Let a be (-1)/i + (-49)/(-14). Let x(p) = p**2 + 10*p - 4*p - a + 9. Determine x(-4). -2 Let v(c) = c**2 + 2*c - 1. Let m = 4 + -6. Let b be m/10 - (-98)/(-35). Give v(b). 2 Let s = -10 - -15. Suppose 4*u + 5 = s*z, 5*u - 4*u = 2*z - 2. Let i(f) = f**2 + 5. Determine i(u). 5 Let g(t) = 16 - t**2 - 7*t - 14 + 2*t**2. Calculate g(7). 2 Let r(m) be the third derivative of 0*m + 1/3*m**4 - 1/60*m**5 + 6*m**2 - 5/6*m**3 + 0. Give r(6). 7 Let c(i) = i**2 + 3*i + 4. Let u(n) be the first derivative of 2*n**3/3 - n**2 - 3. Let k be u(2). Suppose j - 16 = t + 4*t, k = -4*t + 3*j. Give c(t). 8 Let f = 4 - 9. Let u(l) be the third derivative of -l**6/720 - 7*l**5/120 + l**4/8 - 4*l**2. Let p(z) be the second derivative of u(z). Calculate p(f). -2 Let y(a) = 2*a**3 - 3*a**2 + a + 2. Let h be (-169)/(-65) + (-6)/10. What is y(h)? 8 Let g = 1 - -5. Let p(t) = -t**3 + 5*t**2 + 6*t - 8. Give p(g). -8 Let z(k) = 11*k**3 - 2*k**2 - 5*k - 1. Let l(j) = -j**3 + j. Let f(h) = 3*l(h) + z(h). Calculate f(-1). -9 Suppose 5*c + 9 = 29. Suppose c = -3*n + 2*n. Let a(g) = g**2 + 3*g**2 - 1 - 3*g**2 + 6*g. Determine a(n). -9 Let w = -5 + 9. Suppose 2*q - 12 = -q, q = 4*r - w. Let y(h) = 12*h - 8. Let j(l) = -13*l + 9. Let a(d) = 6*j(d) + 7*y(d). What is a(r)? 10 Let a = 2 - 3. Let h be (0 - (-3)/3)*1. Let p(t) = t**3 + t - 1. Let i(r) = r**3 + r**2 + 5*r - 6. Let x(s) = h*i(s) - 5*p(s). Determine x(a). 4 Let r(x) = 3*x - 3. Suppose -3*u = -6*u + 6. Suppose 0 = u*b - b - 2. What is r(b)? 3 Let p = 39 - 36. Let n(v) = -v**2. Determine n(p). -9 Suppose -v = -4*v + 9. Suppose 4*c - v*c - 13 = -5*n, 3*c + 4*n - 6 = 0. Let o(i) = i**3 - i. What is o(c)? -6 Let c(g) = -2 + 0 + g + 9*g**2 + 1. Let l(y) = 2 + y - 5 - 3. Let i be l(7). Determine c(i). 9 Let m(q) = -2*q + 7. Let i = 3 + 0. Suppose i + 12 = 3*k. Let r be k*(-3)/(-3)*1. What is m(r)? -3 Let c = 4 - 2. Suppose c*z - z - 4 = 0. Let h(u) be the third derivative of -u**4/24 - u**3/6 - 2*u**2. Give h(z). -5 Let q(b) = 2*b**2 + 4*b + 4. Let w(a) = -5*a - a + 5*a - a**2 + 0*a**2. Let r(i) = q(i) + 3*w(i). What is r(-3)? -8 Let b(g) = -g - 1. Let l(i) = i**3 + 3*i**2 - 3*i + 5. Let f be l(-4). Let a be -1 + f - (-11 + 1). Let t be 6/15 + 46/a. What is b(t)? -6 Let t = 13 + -13. Let a(s) be the third derivative of s**6/120 + s**5/60 - s**4/24 + 5*s**3/3 + 2*s**2. Calculate a(t). 10 Let d(y) = -2*y + 13. Let l = 9 - 3. Let b(h) = h - 7. Let j(z) = l*d(z) + 11*b(z). Let k be 5/(-1 - (-2)/1). Calculate j(k). -4 Let y(a) = -4*a**2 + a**2 - 2*a**2 + 3 - a**3 - 3*a. Let l be (7 + -6)/(((-5)/20)/1). What is y(l)? -1 Let b(n) = 1 - 2 + 0 + 5 + n. What is b(-5)? -1 Let y(l) = 2*l**2 - 3*l**3 + 3*l + l**2 - 2*l + 2*l**3 + 4. Suppose 4*u + 26 = -5*h, -2*u + 5*u + 21 = -4*h. Let x = h + 9. Calculate y(x). 7 Let v(d) = d**3 + d**2 - 14. Let l = 60 + -60. Calculate v(l). -14 Let t(q) be the second derivative of -q**3/3 + 9*q. Determine t(2). -4 Let b(h) = h**2 - 3*h + 4. Let u be 8/(-3) - (-2)/(-6). Let n(k) = 2*k**2 + 3*k + 3. Let q be n(u). Let t be (-4 + 1)*q/(-9). Determine b(t). 8 Let n(m) = m + 3 + 1 - 2 - 1. Let u be n(-2). Let c(h) = -4*h - 1. Determine c(u). 3 Let r(z) = z**3 - 11*z**2 - 13*z + 16. Let b be r(12). Suppose 5*s = -b*k - 1 - 7, 0 = -4*k + 3*s - 8. Let w(n) = -3*n. Give w(k). 6 Let x(p) be the second derivative of p**6/360 - p**5/30 + p**4/6 - 5*p. Let a(b) be the third derivative of x(b). What is a(4)? 4 Let d(u) be the first derivative of u**2/2 - 46. Determine d(1). 1 Let l = -13 + 18. Let i(c) = -14 + 6*c + 11 - l*c. Give i(6). 3 Let a(b) = 2*b**2 - 7*b - 9. Suppose -j + 2 = 12. Let z(s) = s**2 - 4*s - 5. Let k(r) = j*z(r) + 6*a(r). Determine k(3). 8 Let c(j) = j**2 + 4*j + 2. Let v be c(-4). Let x(f) = -f**3 - 4*f + 4*f - 3*f**2 + 6*f**2 - 2. What is x(v)? 2 Let a(q) = q**2 - q + 27. Let i be a(0). Let n = -19 + i. Let u = n - 13. Let k(f) = f + 6. What is k(u)? 1 Let x(h) be the second derivative of 0 + 2*h + 1/10*h**5 + 1/6*h**3 - h**2 - 1/4*h**4. Suppose 0 = -g + 2*g - 2. Determine x(g). 4 Let b(r) be the third derivative of r**5/60 + r**4/4 + r**3 + 7*r**2. Let h(m) = -9*m**2 - m. Let s be h(1). Let t = -15 - s. What is b(t)? 1 Let j(o) = o**3 + 10*o**2 - o - 10. Let x be j(-10). Let s(p) = -p + 11. Give s(x). 11 Let k(p) = -3*p**3 - 7*p + p**3 - 141*p**2 + p**3 + 3 + 149*p**2. Let b be (1 + 2/(-1))*-7. What is k(b)? 3 Let u(v) = -v**3 + 5*v**2 + 6*v + 1. Let h be u(6). Let m(b) = 4*b**2 - 10*b**2 + b - 13*b**2 + b**2. Calculate m(h). -17 Let j(w) = -w - 8. Let g(a) = -2*a + 5 - 4 + 0. Let h(r) = -r**2 - 4*r - 1. Let p be h(-2). Let z be g(p). What is j(z)? -3 Let c(k) be the second derivative of k**5/60 + k**3/6 + 3*k**2/2 - 4*k. Let p(d) be the first derivative of c(d). Calculate p(-2). 5 Suppose 8 = -3*p + p. Let j(g) = -2*g + 8. Let i(w) = 5*w - 24. Suppose 2*u - 26 + 10 = 0. Let n(y) = u*j(y) + 3*i(y). Determine n(p). -4 Suppose -4*b + 56 = 4*g - 0*g, 0 = g + 5*b - 6. Suppose -f - g = 3*f. Let p(q) = 0 - 1 - 4 - q. Determine p(f). -1 Let o(k) = -k**2 + 2*k - 1. Suppose 2*s + 6 - 2 = 0. What is o(s)? -9 Let x(y) be the second derivative of -y**4/12 + y**3/2 + 3*y**2/2 + 2*y - 18. What is x(5)? -7 Let c(a) be the first derivative of -1 + 1/2*a**2 - 1/12*a**4 + 0*a + 0*a**3. Let q(y) be the second derivative of c(y). Calculate q(-1). 2 Let u(g) be the third derivative of -g**6/120 + g**5/60 - 5*g**3/3 - 9*g**2. Calculate u(0). -10 Let k = -3 + 7. Let a(y) = -11*y + 15. Let x(s) = -5*s + 7. Let d(l) = k*a(l) - 9*x(l). What is d(7)? 4 Let f(y) = y**2 - 4. Let i(m) = -m**2 + 5. Let u(z) = 4*f(z) + 3*i(z). Calculate u(1). 0 Let z be 2 + 6 + -2*2. Let f(b) be the third derivative of 0*b + 0 + b**2 + 1/2*b**3 + 1/12*b**z. Give f(-2). -1 Suppose 2*m - 4*m + 12 = 0. Let j = m - 1. Let b(x) be the second derivative of x**4/12 - 7*x**3/6 + x**2 - x. Give b(j). -8 Let u(j) = j**2 - 8*j - 8. Let i(n) = n + 14. Let s be i(-5). Determine u(s). 1 Let g = 22 - 33. Let q = 16 + g. Let v = q + -2. Let a(f) = f**3 - 2*f**2 - f - 2. Determine a(v). 4 Let d(p) be the second derivative of p**3 - p**2/2 - 34*p. What is d(1)? 5 Let o(q) = q**3 + 5*q**2 + 5*q + 6. Let w be o(-4). Let n(y) = -y**3 - y - 2. Determine n(w). -12 Suppose -z = -4*z - 9. Let y(b) be the
{ "pile_set_name": "DM Mathematics" }
+ 4 - 1)*(-3 - 1 + 5) + 1 - 2 + 2 - 5 - 14 - 15)*(10*q + 12*q - 24*q). 67*q Expand (r + 18*r**3 + 1 - 32 - 17*r**3 + r**2)*(-6*r**2 + 2*r**2 + 5*r**2). r**5 + r**4 + r**3 - 31*r**2 Expand (0*g - g - 2*g)*((7 + 3 + 0)*(2 - 4 + 0) - 3 + 3 - 2). 66*g Expand -3*g**4 + 4 - 4 + (-5*g**2 + 3*g**2 + 0*g**2)*(-488 + 139*g**2 + 488). -281*g**4 Expand (3 - o + 2*o**2 - 3)*(0 + 3*o + 0)*(28*o + 558*o - 10*o). 3456*o**4 - 1728*o**3 Expand ((-4 + 1 + 0)*(3 - 2 - 3) + 3 + 2 - 6 + (-4 + 3 + 2)*(-3 + 0 + 2))*(7*c + 0*c - 4*c + (-4 + 4 - 2*c)*(2 + 1 - 2) + (1 - 14 + 2)*(2*c - c + 0*c)). -40*c Expand (263*b**2 + 7535*b - 7535*b)*(-5 + 5 + b) - 2 + 4*b**3 + b - 3*b**3 - 3*b. 264*b**3 - 2*b - 2 Expand (-1 + 0 + 3)*(7*a + 18*a + 8*a). 66*a Expand (6648 + 2483*u**3 - 6648)*(-4 + 4 + 1) + 2*u**3 + 0*u**3 + 0*u**3. 2485*u**3 Expand (p - p - p)*(-1 - 2 + 6)*(27 + 119 - 31). -345*p Expand (1 + 3 - 1)*(0 - 1 + 3)*(-b + 10*b + 25*b - 3*b**5). -18*b**5 + 204*b Expand (2*z**4 + 4*z**4 - 3*z**4)*(5*z - 2*z - 2*z) - z**5 + 0*z**3 + 0*z**3 + 69*z + 4*z**5 + 56*z**3 - 2*z**3 - 67*z. 6*z**5 + 54*z**3 + 2*z Expand ((-3 + 6 - 2)*(2 - 1 + 1) + 5 - 2 - 2)*(-590*x**3 + 24*x**3 + 273*x**3). -879*x**3 Expand (-23*j + 5*j - 7*j + (2 - 3 + 0)*(-3*j + 2*j + 3*j) - 1 + j + 1)*((5*j**2 - 4*j**2 - 3*j**2)*(0*j - 3*j + 5*j) - j**3 + 3*j**3 - j**3). 78*j**4 Expand (247 - 247 - 33*m)*(3 - 6 + 2)*(-1 + 4 - 1). 66*m Expand (-3*p + 2*p - p)*(-3*p**3 + 4*p**3 + 0*p**3) + (-15*p**2 + 3*p**2 + 59*p**2)*(p**2 + 2*p**2 + 0*p**2). 139*p**4 Expand (-9*v**4 + 7*v**4 - 42*v**4)*(v - 3 + 3) + (2*v**3 + 2*v**2 - 2*v**2)*(-4 + 4 - 2*v**2) + v - v - v**5. -49*v**5 Expand (s**2 - 2*s**2 + 2*s**2)*(-1 + 3 - 1) - s**2 + 0*s**2 + 2*s**2 + (-1 + 1 + s)*(-67*s - 170 + 170). -65*s**2 Expand (-32 - 19 + 18)*(5 - 5 + q) - 26*q + 320*q - 126*q. 135*q Expand (15 + 40 + 32)*(-5*i + 0*i + 4*i) + (6 - i - 1 - 3)*(1 + 0 - 2). -86*i - 2 Expand (-3*t - 2*t - 14*t)*(-3 + 3 + t**2 + (-2*t**2 + 0*t + 0*t)*(-5 + 2 + 4) + 5*t**2 - 6*t**2 - 20*t**2 + 0*t**2 - t**2 - t**2). 456*t**3 Expand (-k - 6*k - 6*k)*(2*k + 2 - 2)*(-1 - 2*k + 1 - 2*k + k + 3*k - 2*k - 3 + 3 + 3*k - 4*k + 3*k + (-2 - k + 2)*(3 - 2 - 2) + 3 - 3 - 2*k + 0 + 0 + 2*k). -26*k**3 Expand w**2 + 2*w**2 + 10*w**2 + (-6*w**2 + 135 - 135)*(-3 - 1 + 3). 19*w**2 Expand (-1 - 2 + 4 + (0 + 0 + 2)*(-3 + 6 - 1) + 3 + 0 - 1 - 3 + 3 + 2 + 13 - 1 - 1)*(8*p - 9*p**2 - 8*p). -180*p**2 Expand u**2 + u**3 - u**2 + (3*u + 0*u - 2*u)*(3*u**2 - 4*u**2 + 2*u**2) + 0*u**3 - 2*u**3 + 5*u**3 - u**3 + u - u + (-5*u**2 + u**2 + 3*u**2)*(u + u - u). 3*u**3 Expand (-1 - 1 + 1)*(3*p**2 + 4*p**2 - 5*p**2) + 123*p**2 - 55*p**2 + 194*p**2. 260*p**2 Expand (24*v**5 - 4*v**5 + 0*v**5)*(1 + 5 - 5)*(3 - 3 - 6). -120*v**5 Expand (9619 - 161*s - 9619)*(s - 4*s + s + (5 - 5 + 2)*(s + 4 - 4) + 0 + 0 + 2*s). -322*s**2 Expand -u**5 + 0*u**5 + 3*u**5 + (-u + 0*u + 2*u)*(3*u**2 + u**4 - 3*u**2) + 9*u**5 - 18*u**5 + 21*u**5. 15*u**5 Expand (2*h + 214 - 118 - 63)*(h**2 + 0*h**2 - 2*h**2). -2*h**3 - 33*h**2 Expand (-2 + 3 - 4)*(-3*i + i + 3*i) - 2*i + 0*i + 6*i + 1 - 2*i - 1 + (-1 + 1 + 1)*(-5 + 5 - i). -2*i Expand (3 - 11*y - 6*y - 3*y)*(4*y**3 + 4*y**3 - 5*y**3 + (0*y - y - y)*(5 - 5 - 2*y**2)). -140*y**4 + 21*y**3 Expand (8*k**3 + 6*k**3 + 3*k**3)*(0*k**2 + 0*k**2 - 4*k**2). -68*k**5 Expand (2*g**3 - 1 + 1)*(1 + 0 + 110*g - 51*g + (-1 + 0 + 3)*(3 - g - 3) - 3*g + 6*g - 4*g). 112*g**4 + 2*g**3 Expand (4*q - 2*q + 0*q)*((-q + q + 2*q)*(-2 + 0 + 3) + 8*q + 11 - 11 + q - 5*q + 2*q - q + 5*q - q). 22*q**2 Expand 0*b**3 + 0*b**3 - b**5 + (2*b + 2 - 2)*(0*b**3 + 0*b**3 - b**4) - 6*b**5 + 0*b**5 + b**5 - b**5 - 2*b**5 + 2*b**5 - 2*b**5 + 0*b**5 + b**5. -10*b**5 Expand (-8 - c + 8)*(3 + 0 - 6)*(0 + 0 + 2). 6*c Expand (3*z - z - 4*z + (-3*z + 5*z - 4*z)*(-1 + 1 + 1) + 3 - 2*z - 3)*(-8*z + 18*z - 7*z). -18*z**2 Expand 0*l**5 - 3*l**5 + 6*l**5 + (2*l**4 + l**4 - l**4)*(-8 + 8 + 5*l). 13*l**5 Expand (2*m**2 - m**2 + 0*m**2)*(2*m**3 + 2*m**3 - 3*m**3 + (3*m - 3*m - 2*m)*(2*m**2 - 4*m**2 + m**2) + 5 - m**3 - 5). 2*m**5 Expand (3*d - 3*d + 7*d)*(-1 - 4 - 1)*(-2 + 2 + 3). -126*d Expand ((-2*u + 5*u - 2*u)*(2 - 2 - 2) - 1 - 2*u + 1)*(9*u**3 - 6*u**3 + 7*u**3) + (2*u**4 + 0*u**4 + 0*u**4)*(5 - 6 + 0). -42*u**4 Expand (-12*l - 8 + 8*l - 5*l)*(3 - l - 3) - 3 - 3*l**2 + 2*l**2 + 1. 8*l**2 + 8*l - 2 Expand ((5*p + 0*p - 3*p)*(3 + 2 + 15) + p - 6*p + 4*p + 3*p + 2*p - 6*p)*(1 - 1 - 2*p**2). -76*p**3 Expand (24*u - 24*u + 10*u**5)*(3 + 1 - 2) + 3 - 3 + u**5 - u**5 - 4*u**5 + 4*u**5. 20*u**5 Expand (-2*a**3 + 5 - 5)*(-5 - 1 - 8)*(2 - 2 - 3). -84*a**3 Expand (-18 + 27*i**2 + 18)*(2*i**2 - 3*i**2 + 0*i**2)*(-4*i + 2*i + 5*i). -81*i**5 Expand (2*g**2 - 4*g**3 + 5*g**4 + 4*g**3)*((3 - 3 - 1)*(-4*g + g + 2*g) + 0*g + g + g). 15*g**5 + 6*g**3 Expand 3*j**2 + 0*j**2 - 4*j**2 + 3*j**2 - j**2 - j**2 + (-5*j + 4*j + 3*j)*(2 - 2 - j) + (j - j - j)*(3*j + 2 - 2) + (7*j**2 - 22*j**2 - 3*j**2)*(2 - 4 + 0). 31*j**2 Expand (2*w - 3*w + 4 - w)*(349 + 11 + 116)*(0*w - 3*w + 5*w). -1904*w**2 + 3808*w Expand (1 - g - 1)*(15*g**4 - 2*g**4 + 3*g**4) + 0*g**4 + g**5 + 0*g**4 + 2*g**5 - 1 + 1 + (g - g + 2*g**3)*(0*g**2 - 2*g**2 + 4*g**2). -9*g**5 Expand (-1 - 1 - 2*l + 0*l)*(-2*l + 4*l - l)*(-12*l**2 - 6*l**2 + 2*l**2). 32*l**4 + 32*l**3 Expand (43 + 1306*j + 171 - 1305*j)*(3*j + 0*j - 5*j). -2*j**2 - 428*j Expand (-32*v**4 - 632 + 632)*(-v + 2*v + v). -64*v**5 Expand -1073*x - 1994*x + 918*x - 2197*x + 596*x + (x - 4*x + 2*x)*(0 - 1 + 2). -3751*x Expand (-j**2 + 2*j**2 + 0*j**2 - j)*(-111 - 64 - 17*j + 14*j). -3*j**3 - 172*j**2 + 175*j Expand (-3 - 4 + 3)*(-60*f**2 - 52*f**2 - 68*f**2). 720*f**2 Expand (-5 + 5 + 3)*(8*l - 8*l - 2 - 2*l). -6*l - 6 Expand 2*q**5 - 2*q**5 - 2*q**5 + (2*q**2 + 0*q**2 - 4*q**2)*(-2*q**3 + 3*q**2 - 3*q**2) + 2*q**5 - q**5 + q**5 + 52*q + 54*q**5 - 52*q. 58*q**5 Expand (3 + 14 + 9)*(5*w**3 + 4*w**3 - 5*w**3). 104*w**3 Expand 6*p + 6*p - 3*p + (-11 + 5 + 3)*(2 - 2 - p - 2*p + 5*p - p + 2*p - p + 0*p + (-1 - 2 + 1)*(-p + 4*p - p) + 1 - 2*p - 1). 21*p Expand 156*l**5 + 186*l**5 - 173*l**5 + (-3 + 3 - l**3)*(0 + 0 + 2*l**2) + 3*l**5 + 0*l**5 - 2*l**5. 168*l**5 Expand (4*x**2 - 10*x**2 - 22*x**2)*(0*x**2 - 4*x**2 + x**2) + 4*x**4 - 5*x**4 + 2*x**4. 85*x**4 Expand 53*o**2 - 14*o**2 + 10*o**2 + (0*o - 3*o + 0*o)*(-o + 1 - 1). 52*o**2 Expand 4*y**2 - 7*y**2 + 2*y**2 + (0*y + 2*y + 0*y + (0 - 1 + 2)*(-2*y + 6*y - 2*y))*(-2 - 2 + 2)*(4*y - 7*y - 12*y). 119*y**2 Expand (2737 - 2737 - 203*i)*(-2 + 5 - 1). -406*i Expand 0 + 0 + 2*s**2 + (4*s - s - s)*(0*s + 2*s - 4*s) - 4*s**2 + 12 - 12 - 1 + 1 - s**2 + 4*s**2 + 0*s**2 - 5*s**2. -8*s**2 Expand (5*c**3 - 3*c**3 + 2 - c**3)*(10 + 13 + 32). 55*c**3 + 110 Expand (-3 + 3 + q**2)*(-2 + 700*q + 1 - 739*q). -39*q**3 - q**2 Expand -2*q**2 + 2*q**2 - 5*q**4 + (-335*q + 32*q**2 + 335*q)*(-q - 4*q**2 + 0*q**2 + 3*q**2). -37*q**4 - 32*q**3 Expand (2*a - 2*a + 2*a**4)*(-1 + 0 + 3) - a**4 + 3*a**4 - 3*a**4 - 4*a**4 + 0*a**4 + 2*a**4 - a**3 + (1 - 8 - 2)*(5*a**3 + 3*a**2 - 3*a**2)*(5*a - 3*a - 3*a). 46*a**4 - a**3 Expand (-6 + 14 + 0)*(49*q - 24*q - 11 - 26*q). -8*q - 88 Expand (0 + 3 - 2)*(-4*g + 0*g + 2*g) - 4*g - 3*g + 5*g + 8*g - 32*g - 17*g. -45*g Expand (-2*c**4 - 17*c**2 + 17*c**2)*(0 + 1 + 2) + 7*c**4 - 9*c**4 - c**4. -9*c**4 Expand (4*z**3 + 241*z - 9*z**4 - 241*z)*(-2*z - 3*z + 4*z). 9*z**5 - 4*z**4 Expand 24*y**3 + 17*y**3 + 11*y**3 + (7*y**2 - 3*y**2 - 2*y**2)*(-2*y + y - y) - 4*y**3 + 5*y**3 - 3*y**3 + 4*y**3 - 5*y**3 + 0*y**3. 45*y**3 Expand (-2 - 3*c + 2)*(-33*c + 41*c**2 + 33*c)*(-10*c - 9*c - 3*c**2 + 16*c). 369*c**5 + 369*c**4 Expand (2*l + l - 4*l)*(8 + 5 - 2)*(-1 - 3 + 3)*(0*l**3 - l**3 - l**3). -22*l**4 Expand 2*k**2 + k**2 - 5*k**2 + 5*k**2 - 2*k**2 - 4*k**2 + k - k**2 - k + 0*k**2 - k**2 - k**2 + (-2*k + 4*k + 0*k)*(-k + k - k) - 6*k**2 - 11 + 11. -14*k**2 Expand (2 - j**2 - 2)*(940 + 47*j**2 - 940) + 2*j - 2*j**4 - 2*j. -49*j**4 Expand (-97 + 5 - 22)*(y + 1 - 1). -114*y Expand 106*g + 100*g - 172*g + (-1 + 0 + 3)*(-1 + 1 - 2*g). 30*g Expand (2 - v - 2)*(8 + 5 - 18) + (0 + 1 - 4)*(-2*v + 2 - 2). 11*v Expand (-2*b + 2*b - 2*b**2)*(b**2 + 8*b**2 + 2*b**2 + 4*b**2 + 6*b - 6*b + (-b + 3*b - 3*b)*(0*b - b - b)). -34*b**4 Expand 3*r**5 - 4*r**5 + 0*r**5 + 119*r**2 - 12*r**5 - 119*r**2 + (0*
{ "pile_set_name": "DM Mathematics" }
n + 12287. -182989*n Collect the terms in 41*r**3 + 284*r**3 - 1207*r**3 - 873*r**3 - 771*r**3. -2526*r**3 Collect the terms in -6*l - 14*l + 11 + 0 + 7 + 25 - 46. -20*l - 3 Collect the terms in -1417*u**2 + 4239*u**2 + 11 - 1394*u**2 - 1419*u**2 - 11. 9*u**2 Collect the terms in -33*j**2 + 2*j - 100*j**2 - 26*j**2 - 27*j**2 + 159*j**2 - 10*j**2. -37*j**2 + 2*j Collect the terms in -2*h - 64*h**3 - 61*h**3 - 72*h**3 + 265*h**3 - 16*h**2 - 67*h**3. h**3 - 16*h**2 - 2*h Collect the terms in -5423 + 16384 - 27*y**2 - 5478 - 5483. -27*y**2 Collect the terms in 510 - 22443*o + 107 + 22471*o. 28*o + 617 Collect the terms in -988*r + 988*r + 9215*r**2. 9215*r**2 Collect the terms in 27*s**3 + 8116*s - 2677*s - 2718*s - 2721*s. 27*s**3 Collect the terms in 55543*x**3 - x**2 + 42*x - 8*x + 18*x - 55544*x**3 + x**2. -x**3 + 52*x Collect the terms in 4 - 513*o**3 + 259*o**3 - 6 + 273*o**3 - 88*o. 19*o**3 - 88*o - 2 Collect the terms in 153*h**2 - 1891049*h + 1891049*h + 1595*h**2. 1748*h**2 Collect the terms in 3540*u**2 + 220*u**3 - 3540*u**2 - 133*u**3 - 928*u**3. -841*u**3 Collect the terms in -7643115*y**3 + 22929656*y**3 - 7643110*y**3 - 7643427*y**3. 4*y**3 Collect the terms in -353*i - 819*i + 1201*i. 29*i Collect the terms in 104 + 100 + 103 + 70 - 79*k - 377. -79*k Collect the terms in -2927*f + 1123*f + 1132*f + 664*f. -8*f Collect the terms in 62571*i + 5460*i + 52555*i - 19784*i. 100802*i Collect the terms in -139*i**2 - 1288746 - i + 1288746. -139*i**2 - i Collect the terms in -326 + 894 + 8*h**2 - 6*h**2. 2*h**2 + 568 Collect the terms in 0 + 2 + 12 + 14 - 344*d**3 + 346*d**3 - 12. 2*d**3 + 16 Collect the terms in -9 + 6 - 221*i + 275*i**2 - 25*i + 60*i. 275*i**2 - 186*i - 3 Collect the terms in 231*t + 262*t + 463*t - 1093*t + 2*t**3 + 210*t. 2*t**3 + 73*t Collect the terms in -1835*a**2 - 58*a**3 + 1835*a**2 + 102*a**3 - 52*a**3. -8*a**3 Collect the terms in 167*g + 183*g + 174*g + 194*g - 835*g + 171*g. 54*g Collect the terms in 4*n - 2*n + 7445*n**2 - 2*n - 8350*n**2 + 922*n**2. 17*n**2 Collect the terms in -657*x - 87*x - 209*x + 27*x. -926*x Collect the terms in 1690*p**2 - 4575*p**3 + 1645*p**2 - 3335*p**2. -4575*p**3 Collect the terms in 1915*j**2 + 1889*j**2 - 3804*j**2 - 8539*j**3 - 6985*j**3. -15524*j**3 Collect the terms in -1256*h**3 + 1771 + 1791 - 3562. -1256*h**3 Collect the terms in 3452*f - 1655*f - 1794*f + 63*f**2. 63*f**2 + 3*f Collect the terms in -274*g + 1029*g - 468*g - 288*g. -g Collect the terms in 2*w**2 + 5 + 91 + 0*w**2 + 90 - 6 + 8. 2*w**2 + 188 Collect the terms in -229*y**3 - 1822*y**3 + 4921*y**3 + 5024*y**3. 7894*y**3 Collect the terms in -197*h + 320*h - 961*h - 317*h - 528*h. -1683*h Collect the terms in 36 + 3*w + 23619657*w**2 - 37 - 23619684*w**2 - 3*w. -27*w**2 - 1 Collect the terms in 221515*d**2 - 442990*d**2 + 221540*d**2. 65*d**2 Collect the terms in 2*t + 11*t**2 + 784 - 4*t**2 - 2*t - 1714 + 920. 7*t**2 - 10 Collect the terms in -4*y**2 - 29 - 363*y**3 - 16*y**2 + 8*y**2 + 135*y**3. -228*y**3 - 12*y**2 - 29 Collect the terms in 116 - 116 - 150*u + 442*u - 174*u. 118*u Collect the terms in 2591*u + 186*u**3 + 9*u**2 - 188*u**3 - 8948*u - 9*u**2. -2*u**3 - 6357*u Collect the terms in -387 - 100408*t + 100407*t + 351. -t - 36 Collect the terms in -39*o**2 - 86*o**2 + 25*o**2 - 21*o**2 + o**2 - 18*o**2. -138*o**2 Collect the terms in 9*u**2 - 57675872*u + 57675872*u. 9*u**2 Collect the terms in -225 - 1234596*f + 443 - 221. -1234596*f - 3 Collect the terms in 6698*d + 6404*d - 11945*d. 1157*d Collect the terms in 173924*u**3 - 19643*u**3 + 60740*u**3. 215021*u**3 Collect the terms in 60*n**3 - 2*n**3 - 679*n**2 - 80*n**2. 58*n**3 - 759*n**2 Collect the terms in -506*q - 504*q + 2531*q - 512*q - 504*q - 501*q. 4*q Collect the terms in -13683 - n - 5188 + 2938. -n - 15933 Collect the terms in 26*s**2 + 3*s + 1682*s**2 + 1058*s**2 + 15*s + 411*s**2. 3177*s**2 + 18*s Collect the terms in -118750*k**3 + 7 - 23 - 95304*k**3 + 16. -214054*k**3 Collect the terms in -57 - 49 + 16*l - 25*l - 53 + 159. -9*l Collect the terms in -8322*d**2 + 13796*d**2 - 7883*d**2. -2409*d**2 Collect the terms in -355*r**3 - 113799332*r - 4*r**2 + 113799332*r. -355*r**3 - 4*r**2 Collect the terms in -38*a**2 + 107*a**2 - 9 - 240*a**2 - 200*a**2 + 5 - a. -371*a**2 - a - 4 Collect the terms in -19 + 70 - 95 + u**2 - 16*u + 44. u**2 - 16*u Collect the terms in -26 - 181*p**2 + 26 - 3*p - p + 345*p**2. 164*p**2 - 4*p Collect the terms in -44109*h**3 + 99206*h**3 - 55143*h**3. -46*h**3 Collect the terms in 284*b**3 + 286*b**3 - 853*b**3 - 98*b**2 - 45*b**2 + 286*b**3. 3*b**3 - 143*b**2 Collect the terms in 463*n + 641 + 464*n - 1861*n + 465*n + 468*n. -n + 641 Collect the terms in -2878*c**3 + 966*c**3 + 948*c**3 + 958*c**3. -6*c**3 Collect the terms in -5626*c**3 - 57436*c**3 - 188808*c**3 + 50019*c**3. -201851*c**3 Collect the terms in 7 - 22*f - 4*f + 16*f + 8*f - f - f. -4*f + 7 Collect the terms in 2*q**3 - 9*q**3 - 5195 + 10432 - 5237. -7*q**3 Collect the terms in -18257*r**3 - 18250*r**3 + 54753*r**3 - 18253*r**3. -7*r**3 Collect the terms in 73*f**2 + 2*f - 3*f - 6738 + 13531 + f - 6793. 73*f**2 Collect the terms in 6743*d**3 + 10 - 436*d**2 + 436*d**2 - 10. 6743*d**3 Collect the terms in 8*i**2 - 6*i**3 + 11*i**3 + 3*i**3 - 4*i**2 + 8. 8*i**3 + 4*i**2 + 8 Collect the terms in 1242*m**2 - 3311*m**2 + 160 - 33 - 50 - 54. -2069*m**2 + 23 Collect the terms in 374*y - 7743*y**3 + 377*y - 751*y. -7743*y**3 Collect the terms in -194*c**2 - 299*c**2 + 63*c**2 + 28*c**2 - 603*c**2 - 1. -1005*c**2 - 1 Collect the terms in -7360*s**3 + 7*s**2 - 61*s**3 + 7*s**2 - 16*s**2 + 2. -7421*s**3 - 2*s**2 + 2 Collect the terms in 10746 + 10748 + 10744 - 2*j**2 - 53716 + 10743 + 3*j**2 + 10746. j**2 + 11 Collect the terms in -116 + 59 - k**3 - 5*k**3 + 53 + 3. -6*k**3 - 1 Collect the terms in 13 + 21*h**3 + 21*h**3 + 4 + 2 - 19. 42*h**3 Collect the terms in -3212*y**2 + 762*y**3 - 1512*y**3 + 754*y**3 - 1. 4*y**3 - 3212*y**2 - 1 Collect the terms in 4*w - 4*w + 680544983*w**2 - 680544988*w**2. -5*w**2 Collect the terms in -1169*x**2 + 4*x - 4*x + 319*x**2 - 612*x**2. -1462*x**2 Collect the terms in 104 - 31 - 32 - 74*p - 28 - 13. -74*p Collect the terms in 324 - 459 - 3631*g**3 - 1547*g**3 + 133. -5178*g**3 - 2 Collect the terms in -151*r**3 + 1438*r - 2872*r + 1436*r. -151*r**3 + 2*r Collect the terms in 103 + 16559*i - 169 + 66. 16559*i Collect the terms in 1 - 9443546*i - 1 + 4*i**3 + 9443546*i. 4*i**3 Collect the terms in 456*n + 422*n - 2 - 1400*n + 413*n. -109*n - 2 Collect the terms in -318*u - 373*u**3 + 1112*u - 321*u - 313*u - 160*u. -373*u**3 Collect the terms in 412 - 105 - 6*y - 308. -6*y - 1 Collect the terms in 585*o**2 - 619*o**2 - 28*o**3 + 34*o**2 + 35*o**3. 7*o**3 Collect the terms in 24*y + 38*y - 216*y + 34*y - 116*y - 141*y. -377*y Collect the terms in 19315*j**2 - 571 - 554 - 567 + 1692. 19315*j**2 Collect the terms in 28*h**2 + 35*h**2 + 32*h**2 - 56*h**2 - 37*h**2 + 2. 2*h**2 + 2 Collect the terms in -111*n**3 - 93*n**3 - 28*n - 131*n**3 - 31*n + 61*n. -335*n**3 + 2*n Collect the terms in -57 - 178*c - 53 + 141 + 87*c - 89 + 92*c. c - 58 Collect the terms in 5 + 0 + 1663*u**2 - 2 + 22*u**3 - 979*u**2. 22*u**3 + 684*u**2 + 3 Collect the terms in -37854*m**2 + 18846*m**2 + 18891*m**2. -117*m**2 Collect the terms in -8*j - 1722*j**2 + 1758*j**2 + 553 + 4*j + 4*j. 36*j**2 + 553 Collect the terms in 350390107062*j + 5*j**3 - 350390107062*j. 5*j**3 Collect the terms in 300972*o**3 - 601977*o**3 + 300973*o**3. -32*o**3 Collect the terms in 89*m + 10033 + 32*m - 10034. 121*m - 1 Collect the terms in 155199*v**2 + 155235*v**2 - 465582*v**2 + 155155*v**2. 7*v**2 Collect the terms in 3 + 405*s - 120 + 100. 405*s - 17 Collect the terms in 19*d + 33*d - 52*d - 18 + 775*d**2. 775*d**2 - 18 Collect the terms in -2070 - 3*r + 8082 - 2013 - 1991 - 2008. -3*r Collect the terms in 2 - 23*n + 566*n + 6 - 49. 543*n - 41 Collect the terms in -9*v - 108358*v**2 - 13*v + 216717*v**2 - 14*v + 36*v - 108354*v**2. 5*v**2 Collect the terms in -3417*f - 3546*f - 3459*f - 3445*f + 13649*f. -218*f Collect the terms in 297*c - 32*c - 163*c - 43*c - 41*c + 3. 18*c + 3 Collect the terms in -16*k**2 + 700*k**3 + 10*k**2 + 0*k + 4*k**2 + 0*k. 700*k**
{ "pile_set_name": "DM Mathematics" }
3265 What comes next: 8035, 30983, 69221, 122743, 191543, 275615? 374953 What is the next term in 6110, 6177, 6206, 6173, 6054? 5825 What is the next term in 139, 2815, 10565, 25933, 51463, 89699, 143185? 214465 What comes next: -81, 12, 235, 648, 1311? 2284 What is the next term in -1983, -3800, -8729, -18324, -34139, -57728, -90645, -134444? -190679 What comes next: 350, 2334, 7352, 16802, 32082? 54590 What comes next: 65406, 129954, 194502? 259050 What is the next term in 1791, 3890, 6283, 8964, 11927, 15166, 18675? 22448 What comes next: 22968, 24997, 27026, 29055, 31084, 33113? 35142 What comes next: 74086488, 74086490, 74086492, 74086494? 74086496 What is next in 749606800, 749606801, 749606802, 749606803, 749606804, 749606805? 749606806 What comes next: -8467939, -8467944, -8467953, -8467966, -8467983? -8468004 What is next in 3080, 6161, 9232, 12299, 15368, 18445, 21536? 24647 What is the next term in 2426, 18868, 63498, 150416, 293722, 507516, 805898, 1202968? 1712826 What comes next: 1179, 3920, 6661, 9402, 12143? 14884 What is the next term in -23189, -23180, -23171, -23162, -23153, -23144? -23135 What is next in -18456432, -36912868, -55369304, -73825740, -92282176? -110738612 What is next in 9, 1107, 4023, 9663, 18933? 32739 What is next in -54111, -216260, -486461, -864678, -1350875, -1945016, -2647065? -3456986 What comes next: -71370, -142696, -213978, -285216, -356410? -427560 What is next in 105533612, 105533611, 105533610, 105533609, 105533608? 105533607 What comes next: 32815, 33281, 33747, 34213, 34679? 35145 What is next in 593145, 593152, 593159, 593166, 593173, 593180? 593187 What is the next term in -12971196, -12971198, -12971200, -12971202, -12971204, -12971206? -12971208 What is next in -753364608, -753364606, -753364604, -753364602? -753364600 What is next in -563767, -2255053, -5073855, -9020167, -14093983? -20295297 What comes next: -3619, -3582, -3511, -3406, -3267, -3094, -2887? -2646 What is the next term in 27352, 24509, 21666, 18823, 15980? 13137 What is the next term in -62972, -65012, -68414, -73178, -79304? -86792 What is next in 220329, 220245, 220161, 220077, 219993, 219909? 219825 What comes next: -41880, -41947, -42014, -42081, -42148, -42215? -42282 What is next in 1838316, 1838250, 1838184, 1838118, 1838052? 1837986 What is the next term in -160, 1035, 2846, 5279, 8340, 12035, 16370? 21351 What comes next: 34855, 34230, 33605, 32980, 32355, 31730? 31105 What is next in 30264, 53739, 77214, 100689? 124164 What is next in 8089, 8862, 9635, 10408? 11181 What is the next term in 28813, 57770, 86883, 116158, 145601, 175218, 205015? 234998 What is next in 1614158, 1614296, 1614432, 1614566, 1614698? 1614828 What comes next: -3185, -12518, -27987, -49592, -77333? -111210 What is the next term in 1756, 6793, 15110, 26707? 41584 What comes next: 226, 1217, 2954, 5425, 8618, 12521? 17122 What is the next term in -1525, -1491, -1435, -1357? -1257 What is next in -1478, -2621, -3758, -4889, -6014? -7133 What is the next term in 13006232, 26012468, 39018708, 52024952, 65031200, 78037452, 91043708? 104049968 What is the next term in 306, 2914, 10120, 24228, 47542? 82366 What is the next term in 2464, 4924, 7382, 9838, 12292, 14744, 17194? 19642 What is next in 5889998, 11779916, 17669832, 23559746, 29449658? 35339568 What is next in 68049, 136062, 204037, 271974, 339873, 407734, 475557? 543342 What is the next term in 23458, 93081, 209112, 371539, 580350, 835533, 1137076, 1484967? 1879194 What is next in -24182587, -24182589, -24182591? -24182593 What is the next term in -20691, -82956, -186797, -332214, -519207? -747776 What comes next: 5007, 9971, 14899, 19791, 24647, 29467? 34251 What is next in 267, 1644, 5247, 12192, 23595? 40572 What is the next term in -21765, -21933, -22101, -22269, -22437, -22605? -22773 What is next in -23100261, -46200521, -69300781, -92401041, -115501301, -138601561? -161701821 What is the next term in -12809, -25202, -37597, -49994? -62393 What is the next term in 7727573, 15455158, 23182743, 30910328, 38637913? 46365498 What is the next term in -85810, -343483, -772936, -1374169, -2147182, -3091975, -4208548? -5496901 What comes next: -958058, -3832233, -8622524, -15328931? -23951454 What comes next: -3059, -2123, -1209, -329, 505, 1281, 1987? 2611 What is the next term in -3236387, -3236382, -3236377, -3236372? -3236367 What is the next term in 14258, 28431, 42600, 56765? 70926 What comes next: 230085, 460165, 690253, 920349, 1150453? 1380565 What is the next term in -23398, -32897, -58682, -108895, -191678, -315173, -487522? -716867 What is next in 377436, 755266, 1133106, 1510962, 1888840, 2266746? 2644686 What comes next: 3541, 28790, 97307, 230722, 450665, 778766? 1236655 What comes next: -2135, -8778, -19929, -35588, -55755? -80430 What comes next: -16959, -32588, -48215, -63840, -79463? -95084 What is the next term in -4360156, -4360158, -4360160, -4360162, -4360164? -4360166 What is next in 2233, 2424, 2755, 3232, 3861, 4648, 5599, 6720? 8017 What is the next term in -3561, -14114, -31613, -56010, -87257, -125306? -170109 What is the next term in 363997173, 363997174, 363997165, 363997140, 363997093? 363997018 What is the next term in -627, 4567, 9771, 14979, 20185, 25383, 30567, 35731? 40869 What is next in -97787, -195649, -293541, -391457, -489391, -587337, -685289, -783241? -881187 What is next in 4435, 8818, 13139, 17392, 21571? 25670 What comes next: 2685, 5336, 7959, 10548, 13097, 15600, 18051? 20444 What is the next term in -26313, -26476, -26749, -27132, -27625, -28228? -28941 What comes next: -103983709, -103983708, -103983707, -103983706, -103983705? -103983704 What comes next: -155780, -155734, -155648, -155516, -155332? -155090 What comes next: 19950561, 39901120, 59851679, 79802238, 99752797, 119703356? 139653915 What is the next term in 9791, 19802, 29813, 39824, 49835? 59846 What is the next term in 12639, 12593, 12531, 12453, 12359, 12249? 12123 What is the next term in -413664, -1654397, -3722200, -6617073, -10339016, -14888029? -20264112 What is next in -16843287, -33686555, -50529823, -67373091, -84216359? -101059627 What is next in 164900, 659917, 1484946, 2639987, 4125040, 5940105? 8085182 What is the next term in -1738726, -1738716, -1738702, -1738684, -1738662? -1738636 What comes next: -56305133, -56305134, -56305137, -56305142, -56305149, -56305158, -56305169? -56305182 What is next in 1375887, 1375911, 1375941, 1375983, 1376043, 1376127, 1376241, 1376391? 1376583 What comes next: -21390, -85716, -192920, -342996, -535938, -771740, -1050396? -1371900 What is the next term in 13452, 11796, 7294, -1476, -15936, -37508? -67614 What is next in 680031, 1360049, 2040065, 2720079, 3400091? 4080101 What comes next: 7825, 7687, 7417, 7015, 6481, 5815? 5017 What is next in 2839, 3202, 3403, 3442, 3319, 3034, 2587? 1978 What is next in -11377, -18576, -25775, -32974, -40173, -47372? -54571 What is the next term in 27626, 27659, 27720, 27809? 27926 What is next in -241, -3289, -6341, -9397, -12457, -15521, -18589? -21661 What is next in -600, -2183, -4706, -8169, -12572, -17915? -24198 What comes next: -241547, -241702, -241843, -241964, -242059, -242122, -242147, -242128? -242059 What is the next term in -433715011, -433715019, -433715037, -433715071, -433715127, -433715211? -433715329 What comes next: 28449519, 28449520, 28449521, 28449522, 28449523? 28449524 What is next in -46691, -187543, -422555, -751727, -1175059, -1692551? -2304203 What is next in 4844985, 4845027, 4845129, 4845321, 4845633, 4846095, 4846737, 4847589? 4848681 What is the next term in -1806, -3424, -4694, -5466, -5590? -4916 What is the next term in -4368, -8834, -13406, -18084, -22868? -27758 What is next in -47444, -189655, -426680, -758525, -1185196, -1706699, -2323040? -3034225 What is the next term in 872, 1732, 2548, 3308, 4000, 4612, 5132, 5548? 5848 What is next in 133083, 266059, 399037, 532017, 664999, 797983? 930969 What is next in -14186130, -28372279, -42558428, -56744577, -70930726, -85116875? -99303024 What is the next term in 8491, 33867, 76171, 135409, 211587, 304711, 414787? 541821 What is next in -17036, -19459, -23492, -29135, -36388, -45251? -55724 What comes ne
{ "pile_set_name": "DM Mathematics" }
8/91) Simplify (b/(b/b**(-7/3)))/b**(3/14)*(((b*b**19)/b)/b)/(b*b*b**(5/4)) assuming b is positive. b**(1025/84) Simplify ((((((q/q**5*q)/q)/q*q)/q)/q)/q)**(-1/71)*(q*q**(-2)/q*q*q*q*q)**(-6) assuming q is positive. q**(-845/71) Simplify (u**(-10)/u)/(u/(u/(u/(u/(u/u**6))*u)))*(u/u**(-8/7))/u**(-8) assuming u is positive. u**(22/7) Simplify (x/((x/(x*x**(-7)/x))/x))/x*x*x/(x*x**(1/18)*x*x)*(x*x**4)**(-26/5) assuming x is positive. x**(-613/18) Simplify (c**(2/19)*c/(c*c**15))/(c**2*c/(c**(2/49)*c)) assuming c is positive. c**(-15691/931) Simplify (i*i**(1/3))**10*(i/(i/i**3)*i)**(-14) assuming i is positive. i**(-128/3) Simplify (x**(-10/13)*x**(19/2))**(-7/3) assuming x is positive. x**(-1589/78) Simplify (p**(-6/5)*p)/(p/(p*(p/((p/p**(2/13))/p*p)*p)/p))*p/(p*p**28/p)*(p/(((p*p*p**5)/p)/p*p))/p*p assuming p is positive. p**(-2083/65) Simplify ((l**1)**24/((l**0*l)/l)**16)**(-27) assuming l is positive. l**(-648) Simplify ((a/a**(1/5))/(a*a**(-21)))/(a**(-15)*a/(a*a*a**(2/47))) assuming a is positive. a**(8658/235) Simplify (((l*l**5)/l)/l*l**(2/21))/(((l/l**3)/l)/l**(-15)) assuming l is positive. l**(-166/21) Simplify ((f**(-3/4)*f)/f*f*f**(-4/5)*(f/(f**6*f*f))/(f**(-2)/f))**(-19) assuming f is positive. f**(1729/20) Simplify p**(-1)/(p**(-3)/p)*(p/p**(-2/31))/p*p**9/p assuming p is positive. p**(343/31) Simplify z*z*(z*(((z**(-22)*z)/z*z)/z)/z*z)/z*z/z**18*z*(z**(-2/11))**21 assuming z is positive. z**(-438/11) Simplify ((p/p**(-1/9)*p**(-6))/(((p/p**(-2/3))/p)/p)**12)**(-3/34) assuming p is positive. p**(4/51) Simplify (h/(((h**3*h)/h*h)/h)*h*h)**(3/22)/(h**(-3)*h/(h/h**10)) assuming h is positive. h**(-7) Simplify (((n*n**2/n)**1)**(-38/3))**(-1/17) assuming n is positive. n**(76/51) Simplify ((t/(t/((t**(-3)*t)/t)))**(6/5)/(t/(t*t/(t/(t*t/t**(-3)*t))*t))**(-39))**(-36) assuming t is positive. t**(49788/5) Simplify (o/o**(-1))/(o**6/o*o*o)*(o**0)**(-3/35) assuming o is positive. o**(-5) Simplify (r*r**30*r*r/((r*r**(-14/3)*r*r)/r))**(-5) assuming r is positive. r**(-535/3) Simplify (a**(12/7)*a)/(a/(a*a**(-21)*a))*a**1/a**(1/15) assuming a is positive. a**(-1717/105) Simplify ((v**(-1/4))**(4/13)/(((v/v**(2/9))/v)/(v*v**4/v*v*v*v)))**(-24) assuming v is positive. v**(-6688/39) Simplify ((k*k*k*k**19/k)/k*k)**(-26)*((k*k**(-9))/k)**(-1) assuming k is positive. k**(-537) Simplify ((t*t**(2/19)*t**(-3))/(t/t**(2/9)*t/((t*t**(-5))/t)))**(-34) assuming t is positive. t**(50422/171) Simplify ((n*n/(n*n**(-6/11)*n))/n**3)**(16/9) assuming n is positive. n**(-48/11) Simplify ((((l*l/(l*(l/(l*l/(l**2/l*l)*l*l))/l))/l)/l)/(l/(l**(-5)*l))*((l/(l*l*l**2*l*l))/l)**(-46))**(2/63) assuming l is positive. l**(544/63) Simplify (t/(t**(5/2)*t))/t**(-2/35)*(t**(-10/7))**27 assuming t is positive. t**(-2871/70) Simplify (u/(u/u**(2/45))*u**29)**(-3) assuming u is positive. u**(-1307/15) Simplify (i/i**(-7))/((i*i*i**(1/25))/i)*((i/i**7)/i)**(-20) assuming i is positive. i**(3674/25) Simplify ((s*s**(2/21)*s)/(s*(s**(-21)/s)/s))**26 assuming s is positive. s**(13156/21) Simplify (j*j/j**(2/133)*j*j*j*j**9)**(-1/27) assuming j is positive. j**(-620/1197) Simplify u**(-5)*u*u**(4/7)*(u/(u*u/(u/(u/u**22*u))*u))**22 assuming u is positive. u**(2902/7) Simplify (v**(-3/8)*v/(v*v/v**(-18))*v*v*v)/(v/v**(-2/7)*v)**(4/19) assuming v is positive. v**(-17935/1064) Simplify k**(-5)*k*k**14*(k/(k/(((k*(k*k**6)/k)/k*k)/k)))**(-2/17) assuming k is positive. k**(158/17) Simplify (j*j**(-4))**(-45/7)/(j**(6/7)/((j**(2/21)*j)/j)) assuming j is positive. j**(389/21) Simplify (f**(3/8)*f/f**(2/25))**(-2/47) assuming f is positive. f**(-259/4700) Simplify (j**13/j*j**(-3/16))/(j*j/j**(-5)*j**(-15)) assuming j is positive. j**(317/16) Simplify ((i**(-5/6)*i/(i**(-3)*i)*i)/(i**(2/5)/i)**(-3/17))**(26/3) assuming i is positive. i**(20293/765) Simplify (g**0/g*g**5*g**10*g**(-3))**(-24) assuming g is positive. g**(-264) Simplify (t/t**(3/11))**20*t**26*t**(-2)/t assuming t is positive. t**(413/11) Simplify ((n/(n*n**(-1/27))*n)**(-10/17))**31 assuming n is positive. n**(-8680/459) Simplify (h/(h*h**(-6)*h))/h**(-14)*((h**(7/2)/h)/h)**(-2/73) assuming h is positive. h**(1384/73) Simplify (o**12/o**5)/((o**(1/3)*o)/(o*o**(-4))) assuming o is positive. o**(8/3) Simplify g**(4/5)*g**(1/15)*((g/(g/(g**(-4/7)/g)))/g)**(4/3) assuming g is positive. g**(-269/105) Simplify ((((c**(3/5)/c*c)/c)/c)/c)**(-1/51)/(c**(-6)*c)**(-2/73) assuming c is positive. c**(-558/6205) Simplify (l**(-4)/l)**(-1/57)*l/l**5*l/(l*l**(1/16)) assuming l is positive. l**(-3625/912) Simplify (c/(c**(-5/8)*c))/c**(-2/69)*c*(c**(-1/25)*c)/c*c/(c**(-5/6)*c) assuming c is positive. c**(33773/13800) Simplify (((b/(b/(b*b**(2/107))*b))/b)/b)/(b*b**(-2/67))*(b**0)**(4/5) assuming b is positive. b**(-21159/7169) Simplify (q**(-6)/q*q**21)/(q/(q/q**(-20))*q/q**(-1/24)) assuming q is positive. q**(791/24) Simplify ((x**(-3)/(x/x**(-10)))**(-2/89))**(-22) assuming x is positive. x**(-616/89) Simplify a**6/(a/((a/(((a/(a/(a*a**(-1/20)/a*a*a)))/a)/a)*a)/a))*a**(-3/25)/(a*a/((a*a*a**(-10/13)*a)/a)) assuming a is positive. a**(6709/1300) Simplify (((t/t**(-1/5))/(t*t**(-3)))**(-48))**(-2/59) assuming t is positive. t**(1536/295) Simplify (h**10/(h/h**(1/6)))/(h**(3/8)*h*h**(1/2)) assuming h is positive. h**(175/24) Simplify (m*(m*m/m**(2/3))/m)**(-10/3)*(m/(m*m*m**(5/4)))/m*m*m/((m/(m*m**(7/2)*m))/m*m*m)*m assuming m is positive. m**(-43/36) Simplify ((p/(p*p**(-14)/p)*p)/p*p/(p*p**(2/29)/p*p))/((p**12/p)/p)**(1/26) assuming p is positive. p**(5484/377) Simplify ((g**2)**(4/5)*g**(-2/25)/g**(-1))**(5/12) assuming g is positive. g**(21/20) Simplify (k**(-26)*k/((k*k/(k*k*k**(-1/4)))/k))/(k**(-18)/k**13) assuming k is positive. k**(27/4) Simplify (((j**(-9)/j)/j)/j**(-2/9)*j*j**8*j*j**5)**(-26) assuming j is positive. j**(-988/9) Simplify (l**(5/6)*l**(-9))/((l**13*l)/l*l**(7/2)*l) assuming l is positive. l**(-77/3) Simplify (a**(-25)/a*a**16)/(a**(3/7)*a)**(-36/5) assuming a is positive. a**(2/7) Simplify ((v/(v**(1/4)*v*v))/v**(-7/4))/((v/v**11)/(v/(v/v**13)*v)) assuming v is positive. v**(49/2) Simplify (b**(-15)/b*b*b**16)/((b**(-17/3)*b*b)/(b/(b*b**(-13)/b*b)*b)) assuming b is positive. b**(56/3) Simplify (f**(-3/13))**(2/109)*(((f*f**(-2/11)*f)/f)/f)**(-3) assuming f is positive. f**(8436/15587) Simplify ((d/((d/((d/d**(-3/8))/d))/d))/(d/d**1)*d**2*d/d**1)**(-36) assuming d is positive. d**(-243/2) Simplify ((g*g*g**1)/g*g*g**12*g/g**(1/13)*g**(-5))**50 assuming g is positive. g**(7100/13) Simplify (c**(2/5))**(-22)*(c**(-2/15))**(-13/2) assuming c is positive. c**(-119/15) Simplify ((b**(-2/3)/(((b/(b/((b/(b/(b*b*b**(-7)*b)))/b)))/b*b)/b*b))/(b**7/b*b*(b/((b/(b/b**5*b))/b))/b))**(-17) assuming b is positive. b**(-17/3) Simplify (f**14/f**(2/11))/((f**(-1/4)/f)/(f**(-1/10)/f)) assuming f is positive. f**(3073/220) Simplify ((q*q/(q*q/q**1))/q)/(q*q**(-6/13))*(q*(q/((q*q*q**(-4/5))/q))/q)/((q**10/q)/q) assuming q is positive. q**(-503/65) Simplify ((h**(1/2)/h**(1/3))**48)**37 assuming h is positive. h**296 Simplify (((w**1)**(-13/4))**(20/11))**(2/69) assuming w is positive. w**(-130/759) Simplify (j**(-18/11)/(j/(((j/(j*j**7))/j)/j*j)))**(-2/53) assuming j is positive. j**(234/583) Simplify ((q*q**(-6)*q)/q**(2/11)*q**7/(q/q**10))**26 assuming q is positive. q**(3380/11) Simplify (n**(2/5)*n)/n*n**(-1/17)*n**12*n**(2/17)*n assuming n is positive. n**(1144/85) Simplify ((l/(l/(l/(l**(-2/5)/l))))/l**(-1/4))/(l/(l**(-8/3)*l)*l*l**(-3/5)) assuming l is positive. l**(-5/12) Simplify ((c**1)**28/(c*c*(c/c**(-2/3))/c*c)**(10/3))**8 assuming c is positive. c**(1136/9) Simplify (s**(-1/19)*s**(-21))/(s*(s**(5/2)/s)/s)**(-17) assuming s is positive. s**(169/38) Simplify ((r/(r**0/r))/r*r**(-3/7))/((r/(r**(-3)/r*r*r))/(r**(6/5)*r)) assuming r is positive. r**(-8/35) Simplify (z*z*z**(-2/3)*z/z**6*z**8/((z/((z/z**(-3/7))/z)*z)/z*z))**(-37/5) assuming z is positive. z**(-2146/105) Simplify ((f*f**(-4))/f**16)/(f**(-18)/f**(-2)) assuming f is positive. f**(-3) Simplify g**(2/7)*g*g*g*g**10*g*g*g/(g**(-8)*g*g)*g**(-24) assuming g is positive. g**(-12/7) Simplify ((z*z**(5/3))/(z**(31/5)/z))**(-1/17) assuming z is positive. z**(38/255) Simplify (((u*u/(u**(2/3)*u))**22)**(2/11))**(-25) assuming u is positive. u**(-100/3) Simplify s**(-8)/
{ "pile_set_name": "DM Mathematics" }
t. 1 Suppose -1 + 1 = 3*w. Solve 2/7*m**3 + 0 + w*m + 2/7*m**2 = 0. -1, 0 Let d(t) = -5*t**4 + 9*t**3 + 4*t**2 - 27*t + 16. Let b(y) = -56*y**4 + 100*y**3 + 44*y**2 - 298*y + 176. Let n(g) = 6*b(g) - 68*d(g). Solve n(z) = 0. -2, 1, 2 Factor 0*o + o**5 + 0 + 0*o**2 + 2/7*o**4 + 0*o**3. o**4*(7*o + 2)/7 Let m(i) = 5*i**3 - 3*i + 2. Let k be m(1). Suppose 2*p = 2 + k. Find c such that -2/3*c**p - 2/3*c**2 + c**4 - 1/3 - 1/3*c**5 + c = 0. -1, 1 Let s = 3 + -7. Let h(k) = -6*k**2 + 3. Let o(t) = -7*t**2 + 4. Let c(b) = s*h(b) + 3*o(b). Factor c(i). 3*i**2 Suppose 4*w - 2*w = 8. Let k(v) be the third derivative of 0 + 9/20*v**5 + 27/2*v**3 + 0*v - 27/8*v**4 - 1/40*v**6 + w*v**2. Factor k(o). -3*(o - 3)**3 Let d be (24 + -25)*(1 - 6). What is s in 0*s - 1/3*s**d + 0*s**3 + 0 + 0*s**4 + 0*s**2 = 0? 0 Let q(t) = -5*t**3 + 6*t**2 - 3*t + 2. Let h(v) = -51*v**3 + 60*v**2 - 30*v + 21. Let r(m) = -2*h(m) + 21*q(m). Solve r(p) = 0 for p. 0, 1 Let f(o) be the first derivative of o**5/20 + 3*o**4/16 - o**2/2 + 14. Solve f(d) = 0 for d. -2, 0, 1 Let c(m) be the first derivative of -m**7/1680 - 2*m**3/3 + 4. Let u(g) be the third derivative of c(g). Factor u(r). -r**3/2 Let l be (-630)/(-75) + -8 + 18/(-70). Factor 1/7*u**4 + 0*u + 0 + 0*u**2 - l*u**3. u**3*(u - 1)/7 Let i = -1/11 + 119/99. Let s = 1/28 - -53/84. Suppose -i*y + 14/9*y**2 + 2/9 - s*y**3 = 0. Calculate y. 1/3, 1 Let p be (6 + -1)/1*1 + -3. Factor 0 - 2/11*h**3 + 0*h + 2/11*h**p. -2*h**2*(h - 1)/11 Let t be ((-6)/(-4))/(-11 + 13). Let t*m**2 - 3/4*m**3 + 0 + 0*m = 0. Calculate m. 0, 1 Suppose 5*n - 3*n**3 + n**2 + n - n**2 - 3*n**2 = 0. Calculate n. -2, 0, 1 Let u(m) be the first derivative of -m**4/8 + m**3/3 + 3*m**2/4 - 4. Factor u(o). -o*(o - 3)*(o + 1)/2 Let r be ((-1)/(-69))/(56/852). Let u = 3/46 + r. Solve -2/7*s**5 + 0*s + 0*s**2 + u*s**3 + 0*s**4 + 0 = 0. -1, 0, 1 What is n in 1/3*n**4 - 16/3*n**3 + 30*n**2 + 125/3 - 200/3*n = 0? 1, 5 Solve 0 + 0*v + 2/3*v**3 - 2*v**2 = 0 for v. 0, 3 Let p(l) = -l - 1. Let g be p(-4). Let s(b) be the second derivative of g*b + 0 + 1/2*b**2 - 1/24*b**4 - 1/12*b**3. Factor s(j). -(j - 1)*(j + 2)/2 Let l be (9/(-3))/((-2)/2). Solve 2 - 2 + 3*j - l*j**2 = 0 for j. 0, 1 Let i(v) = -v**3 - 5*v**2 + 2*v + 5. Let a be i(-6). Let n = a + -27. Solve 3/5*c**n + 6/5 - 9/5*c = 0. 1, 2 Let l(w) be the first derivative of 0*w**2 + 3 + 2*w + 1/66*w**4 + 1/33*w**3. Let u(x) be the first derivative of l(x). Find t, given that u(t) = 0. -1, 0 Let r be 0 - (-4)/16*6. Factor 0 + 3/2*k - r*k**2. -3*k*(k - 1)/2 Find n such that 0 - 2/3*n - 2/3*n**2 = 0. -1, 0 Let x(m) be the third derivative of -3*m**2 - 1/8*m**6 + 0*m**3 + 1/16*m**8 + 0 - 1/4*m**4 - 9/70*m**7 + 9/20*m**5 + 0*m. Find o, given that x(o) = 0. -1, 0, 2/7, 1 Suppose 0 = 9*c - 3*c - 264. Let m be 46/c - 7/14. Determine v, given that -m*v**2 + 2/11*v**3 - 2/11 + 6/11*v = 0. 1 Find i, given that 375 + 45*i**2 + 21*i + 2*i**3 + 41*i + 163*i + i**3 = 0. -5 Let k be 288/378 + (-1)/3. Suppose -k*j**2 - 9/7*j**4 - 3/7*j**5 + 0*j + 0 - 9/7*j**3 = 0. What is j? -1, 0 Let u(l) be the second derivative of 3*l**5/100 - 3*l**4/20 + 3*l**3/10 - 3*l**2/10 + 4*l. Suppose u(d) = 0. Calculate d. 1 Let o = 34/21 - -86/21. Let v be -4 + 4 - (-160)/14. Factor -10/7*k**4 - 32/7 + o*k**3 - v*k**2 + 1/7*k**5 + 80/7*k. (k - 2)**5/7 Let p be 6/14 - 240/(-126). Factor p*o - 3*o**2 - 1/3*o**4 + 5/3*o**3 - 2/3. -(o - 2)*(o - 1)**3/3 Let q(w) = 81*w + 51 + 219*w + 35*w**2 - 272*w**2 - 114*w**2. Let x(v) = 27*v**2 - 23*v - 4. Let s(u) = -2*q(u) - 27*x(u). Determine c so that s(c) = 0. -2/9, 1 Let x(y) be the second derivative of -4*y + 1/10*y**5 + 0 - 1/3*y**3 + 0*y**2 + 0*y**4. Suppose x(w) = 0. What is w? -1, 0, 1 Let u(w) = 32*w**2 - 60*w + 12. Let x(d) = 13*d**2 - 24*d + 5. Let t(f) = 5*u(f) - 12*x(f). Factor t(m). 4*m*(m - 3) Let y(w) = -w + 14. Let t be y(14). Let d(k) be the second derivative of 1/4*k**2 + 1/24*k**3 + t - 1/16*k**4 - k. Find r, given that d(r) = 0. -2/3, 1 Let h(i) = -2*i**3 - 8*i**2. Let c(b) = 2*b**3 + 8*b**2. Let p(w) = -3*c(w) - 4*h(w). Factor p(m). 2*m**2*(m + 4) Factor -4*o**3 + 9*o**3 - 2*o + o - 4*o**3. o*(o - 1)*(o + 1) Suppose 4 = -2*u + 10. Let r = 26 + -24. Determine d so that -3*d**3 - 3*d + d + d**u + 4*d**r = 0. 0, 1 Let p(c) be the first derivative of 1/6*c**3 + 0*c - 1/16*c**4 - 2 + 0*c**2. Factor p(r). -r**2*(r - 2)/4 Let z(b) = -b**3 - b**2 - 2*b. Let d = 3 + -5. Let s(n) = -2*n**3 - 2*n**2 - 5*n. Let y(o) = d*s(o) + 5*z(o). Determine u so that y(u) = 0. -1, 0 Let q(a) = 14*a**3 + 2*a**2 - 44*a - 24. Let j(k) = -13*k**3 - 3*k**2 + 43*k + 24. Let m(w) = -4*j(w) - 3*q(w). Factor m(f). 2*(f - 2)*(f + 2)*(5*f + 3) Let g be (16/(-6))/(6/27). Let a be g/(-75)*(-10)/(-4). Factor -2/5*u**3 + 2/5*u**2 - 2/5*u**4 + a*u + 0. -2*u*(u - 1)*(u + 1)**2/5 Factor 6/7*w**4 - 4/7*w**2 + 4/7*w**3 - 2/7 + 2/7*w**5 - 6/7*w. 2*(w - 1)*(w + 1)**4/7 Let i(u) be the first derivative of 0*u**3 + 1/8*u**2 - 1/16*u**4 + 0*u - 5. Factor i(j). -j*(j - 1)*(j + 1)/4 Let i(y) = y**2 + y. Let g = -7 - -2. Let h(m) = -2 + 4*m + m + 3*m**2 + 4*m**2. Let w(l) = g*i(l) + h(l). Factor w(q). 2*(q - 1)*(q + 1) Let y(f) = -27*f**3 - 76*f**2 - 57*f + 5. Let v(b) = 14*b**3 + 38*b**2 + 28*b - 2. Let j(x) = -13*v(x) - 6*y(x). Factor j(g). -2*(g + 1)*(2*g + 1)*(5*g + 2) Let q = 196 - 1760/9. Let v be 2/6*(-4)/(-6). Determine h so that 4/9*h**3 - 2/9*h - 2/9*h**4 - 2/9*h**5 + q*h**2 - v = 0. -1, 1 Solve 0 + 3/2*s**5 - s**2 + s**4 - 3/2*s**3 + 0*s = 0 for s. -1, -2/3, 0, 1 Let k(r) be the first derivative of -r**9/756 + r**7/210 + 7*r**3/3 + 7. Let p(t) be the third derivative of k(t). Find f such that p(f) = 0. -1, 0, 1 Suppose 0 = 4*b + 4*l - 28, 5*b = 4*l - 0*l + 8. Suppose -3*n**3 + 4*n**3 + 133*n**4 - 136*n**b = 0. Calculate n. 0, 1/3 Suppose 0*v = v - 5*v. Suppose 2*w**5 - 4/3*w**3 - 8/3*w**2 + 8/3*w**4 + v - 2/3*w = 0. What is w? -1, -1/3, 0, 1 Let s be 1/2 - 30/4. Let f(o) = -7*o**2 - 2*o. Let q be 18/(-4) - 2/4. Let w(z) = 10*z**2 + 3*z. Let x(c) = q*w(c) + s*f(c). Suppose x(i) = 0. Calculate i. -1, 0 Suppose 11 = -5*d + 4*f - 75, 2*f - 70 = 4*d. Let x be (2/d)/((-3)/6). Solve 2*m**4 - 8/9*m - 4/9*m**2 + x + 8/3*m**3 = 0 for m. -1, 1/3 Suppose 0 = -3*f + 4*z + 31, -3*z + 24 = 2*f + f. Suppose 0 = 3*k - 4*b - f - 6, 0 = -5*b. Factor -3*h**5 - h**k - 3*h**5 + h**3 + 6*h**5. -h**3*(h - 1)*(h + 1) Suppose 2*g - 3*w = 13 + 6, 2*g = -2*w - 6. Let m(p) be the second derivative of 1/30*p**6 - 1/12*p**4 + 0*p**3 + 0*p**5 + p + 0*p**g + 0. Factor m(a). a**2*(a - 1)*(a + 1) Factor 5*n**3 - n**2 + 5*n**3 - n**5 - 9*n**3 + n**4. -n**2*(n - 1)**2*(n + 1) Let w be 1/(49/21 + -2). Factor -1/4*f + 1/4*f**w + 1/4*f**2 - 1/4*f**4 + 0. -f*(f - 1)**2*(f + 1)/4 Suppose 8*r = 12*r. What is n in 8/7*n**2 + 0 - 18/7*n**4 + r*n**3 + 0*n = 0? -2/3, 0, 2/3 Let w(g) = 8*g + g**3 - 3*g**2 + g**3 - 1 - g**3. Let x(c) = c**3 - 3*c**2 + 7*c - 1. Let p(b) = 4*w(b) - 5*x(b). Let p(d) = 0. Calculate d. 1 Solve -4*j**3 + 3 - 2*j**3 - j**4 + 6*j - 2*j**4 = 0 for j. -1, 1 Let m(r) be the third derivative of 0*r - 1/3*r**3 + r**2 + 1/1080*r**6 + 0 - 1/360*r**5 - 1/36*r**4. Let b(l) be the first derivative of m(l). Factor b(t). (t - 2)*(t + 1)/3 Let a(l) be the second derivative of -l**9/11340 + l**8/30240 + l**7/5670 - 5*l**4/12 - 4*l. Let s(q) be the third derivative of a(q). Factor s(x). -2*x**2*(2*x + 1)*(3*x - 2)/9 Let q = 6 + -3. What is i in 4*i**q - 2*i**4 - 7*i**3 - i**4 = 0? -1, 0 Let k be (-133)/(-1368) + 2/16. Factor -k*l**2 + 8/9 + 0*l. -2*(l - 2)*(l + 2)/9 Solve -2*a + 2*a**4 + 6*a - a**3 - 4*a**2 + a**4 - 2*a**4 = 0 for a. -2, 0, 1, 2 Let d = 58 + -55. Let q(f) be the second derivative of 2/9*f**3 - 1/15*f**5 + 0 + 0*f**4 + d*f + 1/3*f**2 - 1/45*f**6. Factor q(l). -2*(l - 1)*(l + 1)**3/3 Let s(b) be the second derivative of 9*b - 2/63*b**7 - 2/45*b**6 - 2/9*b**3 + 2/15*b**5 + 2/9*b**4 - 2/3*b**2 + 0. Factor s(h). -4*(h - 1)**2*(h + 1)**3/3 Let r(y) = 4*y**2 - 12*y. Let g(t) = -t + 1. Let v(m) = 8*g(m) - r(m). Solve v(c) = 0. -1, 2 Let n(l) be the second derivative of -l**6/360 - l**5/60 - l**4/24 - 2*l**3/3 - 3*l. Let o(r) be the second derivative of n(r). Let o(p) = 0. Calculate p. -1 Let o(d) be the first derivative of 3*d**5/5 - 2*d**3 + 3*d - 9. Factor o(f). 3
{ "pile_set_name": "DM Mathematics" }
= -0*f - 2*f, -j*f + 21 = 5*i. Calculate the common denominator of -85/6 and ((-5)/60)/(f/158). 12 Suppose -166*c + 336 = -158*c. Calculate the least common multiple of c and 2. 42 Suppose -5*r - 2*u - 5 = 0, r - u = 3 + 3. What is the common denominator of 23 and 69/42 + (r - -2)? 14 Find the common denominator of 23/9 - (4 + -2) and ((-41)/3)/(-4 + 9). 45 Let d = -4 - -6. Suppose -3*v = d*v - 200. Find the common denominator of (-4)/10 - (-324)/v and 37/12. 60 Suppose -8*j + 6*j + 346 = -d, 0 = 2*j + 5*d - 358. Calculate the least common multiple of 33 and j. 1914 Let v be 2/4*-1*-4. Suppose -3*m = v*m - 5. Let u(t) = 2*t**3 - 7*t**2 - 15*t + 1. What is the lowest common multiple of m and u(0)? 1 Let j = 2282727/68 - 33568. Calculate the common denominator of j and -1/3. 204 Calculate the smallest common multiple of (-3)/6 - (-2 - 135/6) and 18. 72 Suppose 151*a - 2 = 152*a. Suppose -4*g - 3*z = -32, -5*g + 2*z = -g - 32. Let r = g + a. Calculate the lowest common multiple of 12 and r. 12 Let g = -2419 - -2423. What is the lowest common multiple of g and 76? 76 Let y(t) = -6*t**3 - t**2 - t + 2. Let h be y(1). Let p be (3 - 2) + -23 + 1. Calculate the common denominator of 325/14 + h/p and -59/10. 10 Let b(z) = -z**3 + 9*z**2 - 3*z + 48. Calculate the lowest common multiple of b(5) and 2. 266 Let a(y) = y**3 + y**2 - y. Let g = 117 - 60. Let m = g + -37. Calculate the smallest common multiple of a(2) and m. 20 Let z be (-3 - (-8475)/10)/(4435/(-51)). Let v = -10/887 - z. Calculate the common denominator of -57/20 and v. 20 Let u(p) be the second derivative of 4*p**3/3 - 5*p**2/2 + 8*p. What is the smallest common multiple of 11 and u(2)? 11 Suppose -4*j = 0, 2*l = -l - 2*j - 27. Let z = -18 - l. Calculate the lowest common multiple of (-2 + 4)*-1 - z and 10. 70 Let p be (-2 + -3215)/(165/(-2)). Let k = p + -514/15. Let v = -7665/11 - -696. Calculate the common denominator of k and v. 11 Let n = -107577/16 + 6729. Let a = -1721/50 + 48/25. What is the common denominator of n and a? 16 Let b = -1/2413 + 330587/14478. Let d = -22/57 + 94/57. Calculate the common denominator of b and d. 114 Let n(t) = -301*t + 21. Calculate the lowest common multiple of n(-1) and 16. 2576 Let h = -1/1332 - 28193/1332. Find the common denominator of h and -46/39. 78 Let w = -987/59 - 261997/354. Suppose -3*i = -5*k - 2264, 0 = i + 4*k - 877 + 145. Let s = i + w. Calculate the common denominator of 63/2 and s. 6 Let y(v) = 10*v**3 - v**2 - 6*v - 22. What is the smallest common multiple of y(4) and 4? 1156 Suppose 2*o - 69 = l, -2*l + 86 = 4*o - o. Let d = 22 - o. Find the common denominator of 6/d + 1337/(-105) and -16/3. 3 Let a = 887 - 3577/4. What is the common denominator of a and 11/27? 108 Suppose -2*d = -14 - 2. Suppose -5*f - 5*o + 3 = 8, -4*f + 16 = -o. Let s(p) = -p**3 + 10*p. What is the least common multiple of d and s(f)? 24 Suppose 5*f + 3*z = 37, -f + 3 = 5*z - 22. Suppose -3*g = -6, -2*g = 5*k - 4*g - 156. What is the least common multiple of k and f? 160 Let o = -7 + 17. Find the common denominator of 1/56 and (111/o)/(176/(-80)). 616 Let v(d) = d**2 - 5*d. Let q be v(5). Suppose 4*j + 5*t - 66 = q, -11 = 3*j - 4*t - 45. Suppose 5*k - 27 = -7. What is the smallest common multiple of k and j? 28 Let o = 442 + -424. Calculate the least common multiple of 117 and o. 234 Let h be (34/17)/((-2)/(-24)). Suppose -20 = -5*l, 0 = -5*b - l - 1 + 5. Suppose 5*g - h - 46 = b. What is the lowest common multiple of 14 and g? 14 Let g = 29 + -24. What is the least common multiple of (-1)/((20/(-35))/4) and g? 35 Suppose 0 = 5*l - 2*i + 23, 5*l - 2*i = i - 27. Let y be 3829/45 - l/1. Let t = y + -436/5. Find the common denominator of t and 85/6. 18 Let v = 222 - 218. Calculate the lowest common multiple of 2 and v. 4 Suppose -139 = -4*l - 2*g + 3*g, 3*g = -3*l + 93. Let s = 255 + -278. Let f = s + l. What is the smallest common multiple of f and 5? 55 Let w be 3332/(-2) - (0 - -1). Let y = w + 23293/14. Calculate the common denominator of y and (2 + (-31)/(-3))*(-72)/80. 70 Let z(f) = -10*f**3 + 15*f**2 + 8*f + 27. Let m be z(11). Let c = m + 136697/12. Calculate the common denominator of c and -1/48. 48 Let h = -395 + 409. What is the least common multiple of h and 214? 1498 Let v be -4 + 78/(-8) + (-3)/12. Calculate the common denominator of ((-5)/8)/(v - -15) and 13/6. 24 Suppose 3*l + 4*b = 210, 5*b + 258 = 4*l + 3*b. What is the lowest common multiple of l and 33? 66 Let p = -161 - -109. Let s = 58 + p. Calculate the smallest common multiple of 27 and s. 54 Suppose 2*q + 0*q + 19898 = 2*z, -49743 = 5*q - 4*z. Let a = 179141/18 + q. Find the common denominator of 53/20 and a. 180 Suppose 4*b - 36 + 4 = 0. Let k be (6 - 1)*b/(-20). Find the common denominator of -34/3 and 7/(-14)*59/k. 12 Let k = 447 + -1363/3. Let d be -2*-22142*(-2)/(-20692). Let m = d + 4/739. Calculate the common denominator of k and m. 21 Let v be 4 - 5/((-5)/(-31)). Calculate the common denominator of 0 - v/(-24)*2 and 101/4. 4 Let u = 1 + -4. Calculate the common denominator of (3/(-168))/1*(37 + u) and -41/12. 84 Let x(q) = q**2 - 20*q - 14. Let m be x(20). Let s = m - -20. What is the least common multiple of 24 and s? 24 Let i(n) = 5*n - 9. Let q(l) = -4*l + 8. Let t(s) = -5*i(s) - 6*q(s). What is the lowest common multiple of t(-5) and 34? 34 Let c be 4/(160/(-74934)) - 2. Let x(o) = 489*o + 77. Let d be x(-4). Let l = c - d. Calculate the common denominator of l and -11/18. 180 Let x = -8 + 11. Suppose x*q - q = 6. What is the common denominator of 182/36 + 2/q and -113/20? 180 Let v(h) = -135*h**2 - 141*h**2 - 19 - h + 279*h**2. Suppose -3*k + 1 + 5 = 0. What is the least common multiple of v(4) and k? 50 Calculate the common denominator of 40/3 and 126/(-84) - 722/(-240). 120 Let p = 10 + 0. Let k = -26 - -27. What is the least common multiple of k and p? 10 Let d = 16 - 16. Suppose d*h - h = -3. What is the smallest common multiple of h and (-2 - 1)*(-4)/3? 12 Let c = -141 - -373/2. What is the common denominator of c and (3/9 + (-189)/(-14))/(-1)? 6 Suppose 4*a - 16 = -4*t, 0 = -2*a + 6 + 4. Let z(g) = 4*g**2 + 4*g + 3. Calculate the least common multiple of 15 and z(t). 15 Calculate the common denominator of 692/(-30) + (-4)/(-10) and (-4250)/(-75)*(-2)/8*-1. 6 Suppose 328 = 2*t - c, -4*t + 0*t - 2*c + 672 = 0. Suppose 2*u - u - 4*d - 50 = 0, 5*u - t = -d. Calculate the smallest common multiple of u and 8. 136 Let z = 3437444/115 + -29891. Let h = 2801/1035 - z. Find the common denominator of -34/15 and h. 45 Suppose 2*t = -3*o + 122, -3*o + 5*o - 3*t = 103. What is the lowest common multiple of 6 and o? 132 Let z = -7 + 8. Let a(f) = -f**3 + 8*f**2 + 33*f + 6. Calculate the least common multiple of a(11) and z. 6 Let u(i) = 2*i**2 - 16*i + 23. What is the lowest common multiple of 5 and u(8)? 115 Find the common denominator of 202/(-148)*(5 + -3)/8 and 121/370. 1480 Let p = -1001 - -1061. Let i = 20 + -13. What is the lowest common multiple of p and i? 420 Let l(a) = 2*a**2 + 6*a - 4. Let q be l(-5). Find the common denominator of -1*((27/(-5))/3 + 1) and (-10)/q - (-9)/3. 40 Suppose -4*l + 5*j = -216 - 601, l = -3*j + 217. Calculate the smallest common multiple of l and 234. 1872 What is the least common multiple of (12/5)/(66/1210) and 14? 308 Let z be (14 + -2)/3 - 1. Suppose o - 10 + z = 0. Suppose -1 = -x + o. What is the lowest common multiple of x and 12? 24 What is the common denominator of 81/14 and ((-2)/(-4) + 1)/((-192)/(-2624))? 14 Find the common denominator of -3*(-4 + 1162/441) and -67/18. 126 Let y(s) = 6*s - 21. Calculate the least common multiple of y(5) and 106/8 + 8/(-32). 117 Let s be ((-6)/4)/((-27)/(-8690724)). Let w = -3852911/8 - s. Let g = w - 1201. Find the common denominator of 25/6 and g. 24 Let s be 12729215/30 + (-4)/2. Let x = 420796 - s. Let q = -3490 - x. Find the common denominator of -77/6 and q. 6 Suppose -3*o + 4*c + 1242 + 520 = 0, 3*c - 1152 = -2*o. What is the common denominator of o/24 + 1 + -5 and 6/7? 28 Suppose 4*g + 22 + 26 = 0. Let k(j) = -j**3 - 13*j**2 - 10*j + 9. Let i be k(g). What is the common denominator of 127/24 and (-89)/(-4) - 45/i? 24 Let x = 2892151/36 + -80343. Let c be 1 + (3218/(-792) - 0). Let t = x - c. F
{ "pile_set_name": "DM Mathematics" }
0 = 2*w. What is the least common multiple of i and 8? 16 Suppose 9 = 5*i + 2*y, -5*i = -0*i - 3*y - 24. What is the smallest common multiple of i and 18? 18 Suppose 4*p - p + 2*x = 35, p = -2*x + 9. Let k(c) = c**2 - 3*c - 1. Let z be k(4). Let m = p - z. Calculate the least common multiple of m and 1. 10 Let m(g) = g**2 + 8*g - 2. Calculate the smallest common multiple of 8 and m(-10). 72 Suppose -15 = i - 3*g, -7*i = -2*i + g + 43. Let s = -6 - i. Suppose 0 = -2*q + s*q - 4. Calculate the smallest common multiple of 12 and q. 12 Suppose -4*v = -5*v - 63. Calculate the common denominator of -17/22 and (v/28)/(6/(-46)). 44 Let v = -11389808017/548 + 20784328. Let s = v - 7/137. Calculate the common denominator of s and 19/5. 20 Let h(w) = w**2 - 3. Suppose 0 = 4*z - 9*z + 110. What is the smallest common multiple of h(5) and z? 22 Calculate the common denominator of (1197/70)/(36/15) and 1/78. 312 Let v(l) = 3*l**3 + l**2 + 2*l - 11. Let d be v(-8). Let t = d + 3081/2. What is the common denominator of t and -33/4? 4 Let y = -330983/20 - -16553. Find the common denominator of -15/4 and y. 20 Let d = -790 - -1547/2. What is the common denominator of d and (172/48 + 0)/((-4)/12)? 4 Let o = -1514 - -24193/16. What is the common denominator of o and -47/22? 176 Let l = -3 + 21. Let z(p) = -p**3 - 4*p**2 + 5*p + 2. Let m be z(-5). Suppose -l = -q - m*q. Calculate the lowest common multiple of 10 and q. 30 Suppose -4*h - 6 = -2*h - 2*z, 2*h + 5*z = 29. Calculate the least common multiple of h and 20. 20 Let w = -103 + 2990/29. Let l = -209/58 + w. Find the common denominator of -37/6 and l. 6 Let w = 4 + -2. Let l be (0 + -1)/((-2)/42). Suppose -i = r - 10, 5*i - l + 1 = 0. What is the least common multiple of w and r? 6 Let m(t) = 4*t**2 - 2*t + 2. What is the least common multiple of 4 and m(1)? 4 Let h = 77485/24152 - -1/9057. Find the common denominator of 73/12 and h. 24 Let w(i) = 3*i - 2 - 3 + 7. What is the smallest common multiple of 4 and w(3)? 44 Let s be (-470)/868 + 7/14. Let u = s + -12324/1085. Calculate the common denominator of 33/10 and u. 10 Suppose 6 = -3*d + 27. Suppose 2*a = -6, -5*k + 400 = -2*a - 3*a. Suppose d - k = -5*l. What is the smallest common multiple of 4 and l? 28 Let k be 15/(3*4/(-9)). Let l = 19/2 + k. Calculate the common denominator of l and -1/6. 12 Suppose -6*m + m = -50. Suppose 4*l - 24 = 8*l. Let h = 8 + l. What is the lowest common multiple of m and h? 10 Let x = 7495/9 + -830. Calculate the common denominator of x and -59/9. 9 Let r = -25 + 9. Let j = 8 + -16. Let u = j - r. What is the smallest common multiple of 14 and u? 56 Suppose y + 61 = -4*y - r, 34 = -3*y + 2*r. Let x = 0 - y. What is the least common multiple of x and 8? 24 Let z = -33157/340 - -1572/17. Calculate the common denominator of 4 + -2 - 165/(-12) and z. 20 Let l be (-32)/(-12)*654/4. Let q = l + -3413/8. Calculate the common denominator of -75/2 and q. 8 Suppose d + 4*w = 14 + 86, -d + 100 = 3*w. Let z = 5 - 7. Calculate the smallest common multiple of 4 and z/8 + d/16. 12 Let y = -5/1262 + -26179/1893. Find the common denominator of 37/24 and y. 24 Suppose 5*p - 34 - 16 = 0. Suppose 3*j = m - 8, 4*j = 19 - 3. Calculate the lowest common multiple of p and m. 20 Suppose i - 134 + 39 = 0. Suppose 3*w + 2*w - 4*l - 110 = 0, -i = -5*w + l. Calculate the lowest common multiple of w and 10. 90 Calculate the common denominator of 73/10 and 15/(-5) + 508/64. 80 Calculate the common denominator of (-156)/(-8) - (-4)/3 and 143/12. 12 Calculate the lowest common multiple of 42 and 2/(-10) + (-255)/(-25). 210 Suppose 0 = -3*t + 12 + 9. Suppose t*q - 4*q = 27. Calculate the lowest common multiple of q and 7. 63 Let p(v) = v**3 + 7*v**2 - v - 3. Let x be 2/(-4)*(19 + -5). Calculate the smallest common multiple of p(x) and 10. 20 What is the common denominator of (-2 + 33/15)*545/(-54) and 13/10? 270 Suppose -27 = -3*o - 6. Calculate the common denominator of o and ((-7)/63 + 0)/(2/(-42)). 3 Let k(a) = 9 - 2 + a + 4 + 12. Let x(d) = -d**2 + 7*d - 6. Let t be x(6). Calculate the common denominator of 52/9 and k(t). 9 Let g = -20/1281 - -48331/5124. Find the common denominator of -99/14 and g. 84 Calculate the smallest common multiple of 6 and 4*15*(-6)/(-15). 24 Calculate the common denominator of ((-84)/(-8))/((-10)/4) and -1. 5 Let q(t) = -3 + t + 0 + 0. Let v be q(3). Suppose 0 = 3*z + 3*n - v*n - 27, -5*z = -n - 15. What is the lowest common multiple of 10 and z? 20 Let a = -3/437 + 44149/1748. Calculate the common denominator of a and 127/36. 36 Suppose x + 48 = 9*x. Let j be (-1 - -1) + (-1 - -1). What is the common denominator of 69/2 and 166/(-40) + j/x? 20 Suppose 3*h = 2*l + 7 + 11, -3*l = -h + 20. Let m = l - -9. Calculate the common denominator of 29*(-2 - m/(-6)) and 48/11. 22 Suppose 0 = -w + 5 + 1. Let k = -7/8 - -13/8. What is the common denominator of 293/126 - w/(-21) and k? 36 Let f = 4448 + -44441/10. Find the common denominator of 31/16 and f. 80 Find the common denominator of (-1)/(-66)*1364/(-11) and -131/36. 396 Let d = -3103/560 - -67/140. What is the common denominator of d and -65/8? 16 Let c = 394421075/16605249 - -2166/24821. Let v = c - 3/446. Let z = 137603/12 + -11460. Calculate the common denominator of z and v. 12 Let d be 162/4*(-12)/9. Let i be 2/5 + d/(-15). What is the least common multiple of 7 and (-8)/(2*(-2)/i)? 56 Let j(u) = u**2 - 5*u - 7. Let m be j(7). Suppose -m*t = -t - 60. Calculate the least common multiple of 2 and t. 10 What is the common denominator of (151/(-24))/((-2)/(-4)) and -25/64? 192 Calculate the common denominator of 2174/(-104) - (-8)/52 and -73/16. 16 Suppose 0 = -u - 4*u + 10. Suppose p = 3*p - u, 5*p - 12116 = 3*x. Let m = 48409/12 + x. Find the common denominator of -31/6 and m. 12 Suppose 3*g + t = 3, 1 = -2*g + t - 2. Suppose q - 15 = -o, 4*q = -g*q - 4. Calculate the smallest common multiple of o and 16. 16 Let k = 7 + -11. Find the common denominator of -47/4 and k - (-2)/(4/(-75)). 4 Suppose -180 = -5*a - 4*a. What is the lowest common multiple of 7 and a? 140 Suppose 0 = 2*y + 1 - 13. Suppose -4*f + 5*h - 8 + 35 = 0, -5*h = 5*f. Calculate the lowest common multiple of y and f. 6 Suppose -2*m = -4 - 14. Let f = m - -23. Calculate the smallest common multiple of 14 and f. 224 Suppose -2*f + 464 = 4*w - 0*w, 3*w - 350 = -f. Calculate the smallest common multiple of 14 and w. 826 Suppose 3 + 6 = -3*g. Let t = g - -4. What is the smallest common multiple of t and 3? 3 Suppose y - 2*y + 5 = 0. Suppose -12 = -f - 7. What is the smallest common multiple of f and y? 5 Suppose 6*z - 150 = z. Calculate the lowest common multiple of z and 6. 30 Let k = 39415/33 + -3569/3. What is the common denominator of (-2)/(5/((-1515)/(-12))) and k? 22 Let a(r) = -r**2 + 0*r + 0*r - 3*r. Suppose 0 = m + 3 - 1. What is the smallest common multiple of a(m) and 20? 20 Let y(x) = x**2 - 2*x - 2. Let h be y(4). Suppose h*d - 40 = 2*d. Calculate the least common multiple of 5 and d. 10 Let k = 107/29 - 179/638. What is the common denominator of k and 723/180 - (-2)/6? 220 Suppose 3*o - 39 = -3*h, 5*h - 28 - 25 = -2*o. Suppose 2*v - 3 = 1. Calculate the smallest common multiple of h and v. 18 Suppose 1 = -o - 2*g + 39, 2*g + 152 = 4*o. Calculate the least common multiple of 18 and o. 342 Suppose 0*p - 45 = -3*p. Suppose 3*l + p = 96. What is the lowest common multiple of 6 and (l/(-6))/(1/(-2))? 18 Calculate the least common multiple of -1 + 6/2 + 0 and 1/(-2)*0 - (-5 + 1). 4 Suppose 0 = -2*t - 4*b, -3*b + 12 = -6*b. Calculate the least common multiple of t and 20. 40 Let g = 5643/5 - 4198397/3720. Let f = g - -5023/744. What is the common denominator of 5 and f? 4 Let p = -131/52 + 3281/260. What is the common denominator of -63/5 and p? 10 Let g(s) = -s**3 + 2*s**2 + 2*s + 1. Let k be g(-1). Let q = 5 - k. Calculate the least common multiple of -2*-2*11/4 and q. 33 Let h be 6/8 + (-42)/(-8). Suppose 10 = -4*c - h. Calculate the common denominator of -44 and (-381)/(-12) + 1/c. 2 Suppose -2*j - j - 11 = -5*q, 3*j = q + 5. Suppose -q*c = -2*c - 20. Calculate the least common multiple of 6 and c. 30 Let h(g) = -g**3 - 9*g**2 - 11*g - 12. Calculate the lowest common multiple of 11 and h(-8). 132 Let d =
{ "pile_set_name": "DM Mathematics" }
+ f*j**3 + c*j**4 + i*j + g*j**2 and give f. 2 Express (-2 + 6 - 2)*(-84 + 36 - 84)*(h**3 - 4*h**3 + h**3)*(-5 + 4 + 3)*(-3*h + 3*h + 5*h) in the form p + z*h**2 + l*h**3 + s*h + u*h**4 and give u. 5280 Express 129*t - 235*t + 339*t as s*t + q and give s. 233 Express (918*h - 594*h - 434*h)*(-3 - h + 3) in the form q*h**2 + k*h + i and give q. 110 Rearrange -6*f**2 - 130*f**2 + 360*f**2 + 324*f**2 to the form x*f + w*f**2 + h and give w. 548 Express (-37*j + 73*j**2 - 75*j**2 - 139*j)*(3 - 1 + 1 - 3 + 4 + 0 + (3 - 2 - 2)*(1 + 1 + 0) - 2 + 6 - 2) as z*j + o*j**2 + c and give z. -704 Express (0 + 0 + 1)*(5 - 3 + 1)*(-15 + 23 - 23)*(-16 - 4*m + 16) in the form v + w*m and give w. 180 Express 112*g**2 - 42*g**2 + 51*g**2 + 48*g**2 as a + j*g**2 + p*g and give j. 169 Rearrange 399 - 256*x**2 - 802 + 406 to the form o*x + n + l*x**2 and give l. -256 Rearrange -8*u - 19*u**2 + 5*u + 1 + 6*u + 10*u**2 to l*u**2 + t + o*u and give o. 3 Express -389*s - 23*s**3 - 9*s**3 + 1 + 387*s + 4*s**3 - 2*s**3 - 3*s**3 + (-3*s + 3*s + 2*s**2)*(-3*s + 3*s + 2*s) as x*s + l*s**3 + r*s**2 + c and give c. 1 Express (2*v**2 + 5*v**2 - 2*v**2)*(-3*v**2 + 5*v**2 - v**2) - v + 147 - 147 + 2*v**2 - v**3 - 38*v**4 as t*v**3 + k + n*v + j*v**2 + u*v**4 and give t. -1 Express -4*z**3 + 1 - 5*z**3 + 15*z**3 - 4*z**3 + 43*z in the form i*z + m + b*z**2 + l*z**3 and give i. 43 Express -15*c + 7*c + 4*c**4 + 2*c**3 + 10*c + c**2 - 8*c**3 - 5*c in the form p + b*c**2 + n*c**3 + h*c**4 + x*c and give b. 1 Rearrange d**4 - 9*d**2 + 8*d**2 + 3*d + 19*d**3 + 2 - 25*d**3 to the form f*d**2 + p + x*d**3 + i*d**4 + r*d and give f. -1 Rearrange -r**2 + 2*r**3 + 1 - 1 + (-34*r**2 + 231*r - 231*r)*(-4*r + 3*r + 0*r) + 5*r**3 - 3*r**3 + r**3 to the form a*r**3 + s*r**2 + u + l*r and give a. 39 Rearrange -q**2 + q + 168*q**4 - 303*q**4 - q + q + 167*q**4 to z*q + d + f*q**4 + k*q**3 + r*q**2 and give f. 32 Express (14*h - 2*h - 2 + 4*h)*(-12*h - 4 + 4) as t*h + a*h**2 + m and give t. 24 Rearrange (-1 + 8 + 0)*(0*b**2 - 4*b**2 + 2*b + 2*b**2) to the form j*b**2 + s*b + n and give s. 14 Express 0*t - 12 + t - 4 + 16 - 2*t**3 - 103*t**2 in the form m*t**3 + s + x*t + i*t**2 and give x. 1 Express 69 + 46 - 2*l + 68 - 24 - l in the form m + o*l and give m. 159 Express (8*q - 14*q + 19*q)*(-5 + 6 + 9) + (-3 + 2 + 0)*(q + 2*q - 4*q) in the form b*q + d and give b. 131 Rearrange 6*g**2 - 4*g**2 - 4*g**2 + (3*g - g + 0*g)*(-14*g - 10*g + 23*g) + (g + 3*g - 7*g)*(-3*g + 6*g - 5*g) to the form c*g + j*g**2 + x and give x. 0 Express -34*x - 58*x - 168*x + x + 0*x + x - 2*x + 0*x + 0*x + (-2 - 1 + 1)*(-4*x - 3*x + 5*x) as z*x + k and give z. -256 Rearrange (4*p - 10*p - 16*p**2 + 3*p)*(-32 - 40 - 4*p + 72) to n*p**3 + d + m*p + y*p**2 and give y. 12 Rearrange (-z - 4*z - 12*z)*(4 + 2 - 1)*(-4 + 3 + 2) to f*z + b and give f. -85 Express (17*p - 17*p - 12*p**2)*((p**2 - 5*p**2 + 3*p**2)*(3 - 5 + 3) - p**2 + 5*p**2 - p**2) as o*p + q*p**2 + k*p**3 + v*p**4 + t and give o. 0 Express 2*c + 2*c - 4*c + 28*c**2 + 113 - 29*c**2 in the form f + x*c + p*c**2 and give p. -1 Rearrange (14*p - 21*p - 13*p + (3 + 0 - 1)*(5*p - 3*p - 5*p))*(2 - 2 + p) to the form r*p + k*p**2 + b and give k. -26 Express -20 + 47*d**2 - 45*d**2 - 18 + 2*d**4 + 27 + 5*d**3 in the form g*d**4 + u*d**2 + k*d + b + j*d**3 and give g. 2 Express -5*d**3 - d**3 - d**3 + (186*d - 186*d + 8*d**2)*(d - 2*d + 0*d) as k*d + h*d**3 + t*d**2 + v and give h. -15 Rearrange -d - 4*d**3 + 65*d**2 + 5*d**3 + 113*d**2 - 121*d**2 to z + j*d + i*d**3 + b*d**2 and give b. 57 Rearrange (-9*r + 1 + 4 - 3)*((3 - 1 - 4)*(-5 - 2 + 5) + (3 + 0 - 8)*(-1 - 5 + 5)) to the form z + w*r and give w. -81 Rearrange -7 + 7 - 437*s + 1021*s + 775*s to the form w*s + i and give w. 1359 Rearrange -4*b + 11*b**3 - 2*b**3 - 101*b**3 + 2*b to t*b**2 + w + c*b + p*b**3 and give c. -2 Rearrange 51409*i**2 - 51411*i**2 + 199*i + 142*i to h*i**2 + a*i + t and give a. 341 Express -1583 + 0*a + a + 1571 as p + b*a and give p. -12 Express (-2*z + 4*z - 9*z)*(261*z**3 - 149*z**3 - 209*z**3) as f*z**2 + h*z + m*z**3 + y*z**4 + u and give y. 679 Express -h + 2*h - h**4 + 42*h**2 - 2*h + 3*h - 3*h**3 in the form b*h**3 + m*h + y*h**4 + s*h**2 + i and give m. 2 Rearrange 3 + 17 - 1879*x - 20 to p + o*x and give o. -1879 Rearrange -8014*m - 2*m**2 + 0*m**2 + 8005*m to h + r*m + y*m**2 and give y. -2 Rearrange -130 + 241*w + 68 + 62 to the form i*w + h and give i. 241 Rearrange (1 + b**2 - 1)*(7 - 1 + 10)*(0 - 2 + 3)*(-4*b + 3*b - b) to the form c*b + z*b**3 + n*b**2 + j and give z. -32 Express -2*t - 515 - 20*t**3 - 2*t**2 + 1035 - 521 as a*t**2 + l + c*t + p*t**3 and give a. -2 Rearrange (3*a + 0*a - a)*(0 - 1 - 1 + (4 - 2 - 5)*(-4 + 4 - 2) + 2 + 0 - 3) to the form j + d*a and give d. 6 Express 0*y**4 - y**4 + 0*y**4 + (-3*y**3 + 0*y**3 + y**3)*(-64*y + 10 - 10) in the form h*y**3 + c*y**4 + p*y + u + o*y**2 and give c. 127 Rearrange 2*d**2 - 10 + 10 + 2*d + 0 to the form h*d + f*d**2 + z and give h. 2 Rearrange (-28 + 2 - 7)*(3 + c - 5 + 3) to t + z*c and give z. -33 Express -2*p**3 + 345*p - 5 + 5 + 8*p**2 - 344*p as b*p**3 + m*p + n*p**2 + z and give m. 1 Rearrange (-3 - 5 + 1)*(y**2 + 1 - 1 + (22 - 22 + 11*y)*(5*y - 4*y + 3*y)) to a*y + x*y**2 + q and give a. 0 Rearrange (3*x - 3*x - x)*(-3 - x + 3 + (-1 + 1 - 2*x)*(-5 + 2 - 7)) to l*x**2 + t + k*x and give l. -19 Rearrange 6*d**4 - 791*d**2 - 3 + 0 + d**3 + 794*d**2 to the form w*d**2 + j + l*d + n*d**3 + z*d**4 and give l. 0 Express -19*l**2 - 438*l**3 - 17*l**2 + 2 + 437*l**3 in the form d + f*l**3 + m*l**2 + y*l and give f. -1 Rearrange (-2*u**2 + 3*u**2 - 3*u**2)*(2*u + 32 - 68 - 34) to l*u + t*u**3 + y + g*u**2 and give t. -4 Rearrange -21*v**2 - 8*v**2 - 40*v**2 to k + u*v**2 + b*v and give u. -69 Rearrange (-5*w + 3*w + 3*w)*(2*w - 5*w + w) + 67 - 134 + 67 + 5238*w**2 - 22930*w**2 to u + f*w**2 + a*w and give f. -17694 Rearrange 5*l**2 - 77*l + 2*l**2 - 5*l**2 to the form u*l + f + w*l**2 and give u. -77 Rearrange (-2*o - 22*o - 7*o)*(-2*o**2 - 3*o + 3*o)*(-o - 2*o + o) to the form n*o**2 + g*o + i*o**3 + q*o**4 + y and give q. -124 Rearrange 2366 + x**4 - x + 2*x**2 + 3*x**3 + 2366 - 4729 to the form r + y*x**3 + a*x + u*x**2 + o*x**4 and give u. 2 Express (14*x - 21*x + 16*x)*(-19*x - 37*x + 13*x) + x - x**2 - x in the form w*x**2 + h*x + c and give w. -388 Express 2*z**3 - 19*z - 2*z**2 + 390 - 390 as s + i*z**3 + m*z**2 + t*z and give t. -19 Express (-28*a - 36*a + 72*a)*(-1 + 8 + 4 - 2) in the form d*a + b and give d. 72 Express -34 + 55 - 8*p - 21 - 4*p**2 - 4*p**4 as w*p**3 + i + f*p**2 + u*p**4 + l*p and give u. -4 Express (-1 + 2 + 0)*(-9 + 23 - 58*k - 12) in the form h*k + j and give j. 2 Rearrange q**3 - 8*q**4 - 2*q**2 + q**2 - 6*q - 2*q**2 + 7*q**4 + 2*q**2 to the form x*q**4 + f*q**2 + h + l*q**3 + t*q and give t. -6 Rearrange (-5 + 5 + 3*i + (-4*i + 0*i + 2*i)*(-1 - 1 + 1) + 9 - 9 + 4*i)*(-1 + 2 + 1)*(2 - 2 + 2)*(4*i + 7*i + i) to the form f*i + q*i**2 + t and give q. 432 Rearrange 0*r**3 - r**3 + 8*r - 4*r + 8*r**2 - 9 - 6*r to the form n*r**2 + s*r + b + t*r**3 and give b. -9 Express 14*q - 5*q**4 - 14*q + (54 - 54 + 11*q)*(-q + q + q)*(q**2 + 2*q**2 + 8*q - 4*q**2) as h + m*q + s*q**4 + x*q**3 + r*q**2 and give x. 88 Rearrange 0*h**2 - 1 - h**2 + 2 - 9*h**2 to i*h + d + o*h**2 and give d. 1 Rearrange -y**3 + 109*y**4 + 2 + 4*y**3 - 121*y**4 to t*y**2 + p*y**3 + g*y**4 + h + a*y and give p. 3 Express (-2 + 4 + 2)*(-232*z + 1121*z**2 + 113*z + 119*z) as w*z**2 + y + k*z and give w. 4484 Express -349*r + 34*r - 127*r + 67*r - 159*r as h*r + a and give h. -534 Express -78*a - 43*a - 219*a - 265*a - 15*a in the form d*a + h and give d. -620 Express 45 + 0*a**2 - 11 + 2*a**2 in the form w*a**2 + g*a + l and give w. 2 Rearrange 2*j**4 - 23*j + 4*j**2 + 23*j - 13*j**4 - 4 - 2*j**3 + j**4 to the form q*j**4 + g*j + c + r*j**2 + w*j**3 and give w. -2 Rearrange -15*u + 3*u**2 - 25*u - 5*u**2 to the form n + w*u**2 + z*u and give w. -2 Express 7*a - 26*a**3 + 21*a**3 - 145 + 145 in the form q*a**2 + w*a**3 + n + z*a and give w. -5 Rearrange (m + 0*m + 0*m + (-2 + 4 - 1)*(2*m - 5*m + m) + 0 - m + 0 + 33 - 21*m - 33)*(-m**2 - 7*m + 7*m) to the form q*m**2 + a*m**3 + f + y*m and give a. 23 Rearrange (-3*z - z + 8*z)*(0 -
{ "pile_set_name": "DM Mathematics" }
ler: -4/211 or 0? -4/211 Is -327 smaller than -326? True Is -10 >= -8? False Which is smaller: -9 or -4? -9 Is 172 not equal to 171? True Which is smaller: 1/16 or 2/23? 1/16 Is 3 >= 19/12? True Which is smaller: -18 or -6? -18 Which is smaller: 14/313 or -1? -1 Which is greater: 40/161 or 1? 1 Is 617 equal to 618? False Which is smaller: -4/441 or -1? -1 Which is smaller: 0 or 2/55? 0 Which is smaller: 476 or 475? 475 Which is greater: 4 or -2/17? 4 Which is greater: 234/37 or 6? 234/37 Which is greater: -1425 or -1428? -1425 Which is smaller: 1 or -3/487? -3/487 Which is smaller: 1.41 or -1? -1 Which is greater: -33 or -14? -14 Is 1 greater than 10/269? True Which is greater: -8 or -67.7? -8 Is -0.67 at least -219? True Is 111 not equal to 115? True Which is greater: -748 or -746? -746 Which is smaller: -84 or -89? -89 Which is smaller: -2 or -443? -443 Which is smaller: 96 or 757/8? 757/8 Which is smaller: 593 or 592? 592 Is 22824 < 22823? False Which is bigger: -2158/15 or -143? -143 Is -1 greater than 6/197? False Is 2/419 smaller than 1? True Is 363 < 368? True Which is smaller: -2 or -42/41? -2 Which is smaller: -55/23 or -3? -3 Is -2 < 1/1820? True Which is smaller: 17 or -8/15? -8/15 Is -1 greater than -360? True Which is smaller: 2 or 42/17? 2 Which is smaller: -1068 or -7468/7? -1068 Is 52380 smaller than 52381? True Which is bigger: -0.08 or -48? -0.08 Is -1/3 bigger than -1249? True Is -147 less than 1? True Which is smaller: 2326 or 2/3? 2/3 Does 981 = 981? True Which is bigger: 615 or 611? 615 Which is bigger: 2/5 or 222? 222 Is -247 less than -248? False Is 2/571 < -1? False Which is smaller: -0.167 or 4? -0.167 Is 1 != -5/769? True Which is bigger: -1.45 or -0.2? -0.2 Which is greater: -1/18 or 1? 1 Is 83 greater than 6? True Which is greater: 33 or 38? 38 Which is greater: -13064/7 or -1866? -1866 Which is smaller: 0 or -207/16? -207/16 Is 18 bigger than 18? False Which is smaller: 0 or 6/39913? 0 Is 289 less than or equal to 1159/4? True Which is smaller: 7/1394 or -1? -1 Are 0 and 9/59 equal? False Is -2208 at least as big as -2208? True Do -246 and -246 have different values? False Is -0.6 at most 103/58? True Is 7102 less than or equal to 7102? True Does 172 = 148? False Which is smaller: -5582/5 or -1115? -5582/5 Which is bigger: -7/493 or 0? 0 Is 62 < 68? True Do 1 and 10/17 have different values? True Is 4847 less than 4849? True Is 310 <= -6? False Which is bigger: -78 or -61? -61 Which is bigger: 19 or -5? 19 Is 23/94 < -1? False Which is smaller: -82/9 or -10? -10 Is -4/19729 bigger than 0? False Are 9 and 0.041 non-equal? True Which is greater: -1 or 2/108433? 2/108433 Is -1/87 equal to -4/3? False Which is bigger: -60 or -59? -59 Which is smaller: 248/53 or 5? 248/53 Which is bigger: -9/40 or 1? 1 Is 0.039 > 30/7? False Is -694 less than or equal to -693? True Is -84 smaller than -92? False Is -148/13 bigger than -10? False Does 4 = 13/5? False Is -14 bigger than -67/5? False Which is bigger: -1338 or 3? 3 Which is smaller: -1 or -3/133? -1 Is 1/1827 less than -1? False Which is smaller: 1 or 0.9461? 0.9461 Is -0.3 >= -28/5? True Is 2 != 3.79? True Which is smaller: -181 or -178? -181 Which is greater: 2/1427 or 0? 2/1427 Does 44 = -8? False Is -6/2843 >= 1? False Which is greater: 87 or 90? 90 Which is smaller: -1 or -24/23? -24/23 Does -21 = -240/11? False Is 0.1 greater than or equal to -18/71? True Is 580 > 580? False Is 2/709 at least as big as 0? True Which is bigger: -4/1289 or -1? -4/1289 Is 5 at least as big as -214? True Which is greater: -6928 or -6926? -6926 Which is smaller: -227 or -0.068? -227 Does -2/3 = -54? False Is -1 != 3/10237? True Which is bigger: 67/2 or 0? 67/2 Which is bigger: -2465 or -2? -2 Which is smaller: 22 or -5? -5 Which is bigger: 0.026 or 7? 7 Which is smaller: -1 or 4/1991? -1 Which is smaller: -283 or -282? -283 Which is greater: 144/49 or 4? 4 Is -1823/4 > -455? False Which is bigger: -88 or -87? -87 Which is smaller: 10 or 4? 4 Is 32 != 33? True Does 42 = 40? False Is -9215/4 > -2303? False Which is greater: -23/2 or -1/7? -1/7 Which is smaller: -0.1 or -9809? -9809 Is -5 > 7.6? False Which is smaller: -9 or -24? -24 Which is bigger: -1310 or -1312? -1310 Which is bigger: 0.1 or 4095? 4095 Which is smaller: -1 or 5/12746? -1 Which is smaller: 499 or 498? 498 Which is smaller: -15.08 or 0.03? -15.08 Is 94 less than or equal to -3? False Is 7/6 > -1/10? True Is -228 at most as big as -210? True Which is bigger: -10249 or -1/4? -1/4 Does 90 = 89? False Which is smaller: 7/464 or 0? 0 Do 13/785 and 0 have the same value? False Which is bigger: -4.43 or -29? -4.43 Is 1 at least 2/42421? True Is -33/29 at least as big as -2? True Is 0 at least 139? False Is -1 greater than or equal to -2/983? False Do 9283/5 and 1857 have the same value? False Is 0 at most 2/4021? True Is 44/19 smaller than 1/2? False Does -484 = -481? False Do 13 and 2/23 have different values? True Which is bigger: 0 or -337/11? 0 Is -10/4791 greater than 1? False Which is bigger: -9/11 or -1? -9/11 Which is smaller: 1 or 20/39? 20/39 Which is greater: 0.7 or 4/17? 0.7 Which is smaller: 1/4 or -5/37? -5/37 Is -3019 at most -3017? True Which is bigger: -127 or -1650/13? -1650/13 Which is greater: -357 or -356? -356 Is -1 smaller than -10/111? True Which is smaller: -1 or 791? -1 Are -5 and -254/53 nonequal? True Which is smaller: 266/33 or 9? 266/33 Are 0.08 and 0.19 unequal? True Do 0.4 and -99 have the same value? False Does 1/5 = -1/33? False Which is bigger: 2 or 3.105? 3.105 Is -2446 >= -2446? True Which is bigger: 3786 or 3787? 3787 Which is smaller: 31 or -41? -41 Which is smaller: 66/137 or 1? 66/137 Which is smaller: 71 or 281/4? 281/4 Is -1077 at most -1? True Are -3641/10 and -365 non-equal? True Which is smaller: 1 or -8/63? -8/63 Which is smaller: 224 or 215? 215 Do -2/85 and 2/137 have different values? True Which is smaller: 2 or 345? 2 Is 1 < 2/27? False Which is bigger: -9 or 11? 11 Are 1101 and 1103 non-equal? True Is 3 at least 4? False Is -746 less than or equal to -745? True Which is greater: 22 or 23? 23 Is -238 bigger than -240? True Which is greater: 5/141 or 0? 5/141 Which is smaller: -67/27 or -3? -3 Which is bigger: 380 or 376? 380 Are -1261 and -1261 non-equal? False Is -20 >= 0.21? False Which is bigger: 29 or 40? 40 Is -118 at least as big as -121? True Which is smaller: 189 or -6? -6 Which is greater: 118 or 125? 125 Which is greater: -200 or -195? -195 Is -4 >= 0.862? False Is -3 <= 37? True Do 1/84 and 2 have the same value? False Is -0.04 >= -389? True Which is smaller: -3 or 249? -3 Is -2/1549 less than or equal to -1? False Is 175 equal to 177? False Is 17 less than 0.6? False Is -2/45 equal to 0.7? False Is 50 less than or equal to 1048/21? False Is 2/6781 at most 0? False Which is greater: -1796 or -1794? -1794 Is -106 greater than or equal to -2? False Are -130/27 and -5 equal? False Which is smaller: -3/55 or 1/8? -3/55 Which is smaller: -1 or 4/4239? -1 Are -2670/19 and -141 non-equal? True Do -15641 and -15640 have different values? True Which is smaller: -1/1390 or 0? -1/1390 Do 7 and -613 have different values? True Which is bigger: 3277/3 or 1092? 3277/3 Which is greater: 0 or 25? 25 Which is greater: -70 or 3? 3 Is -1794 < -1794? False Which is greater: -181 or -56? -56 Which is smaller: -1/3 or -1.61? -1.61 Which is smaller: -13/41 or -1? -1 Is -45 at least -51? True Is 0.1 greater than or equal to 4040? False Which is smaller: -100 or -101? -101 Which is smaller: -55/6 or -10? -10 Is 597 at most as big as 604? True Is 2448 greater than 2/11? True Is 442/35 less than or equal to 14? True Is -3565/7 at least as big as -510? True Which is smaller: -316 or -317? -317 Which is greater: -356 or -354? -354 Is 2/1067 at least 0? True Which is smaller: 3 or 104/49? 104/49 Are 54 and 1000/19 unequal? True Which is greater: -6 or -277? -6 Is -82 >= -27? False Is -686 less than -686? False Which is bigger: -10 or -165/16? -10 Do -1816 and -1815 have the same value? False Is -1/3 equal to 16? False Which is bigger: -209/9 or 2/9? 2/9 Is -100 greater than -1904/19? True Is -313 > -2/7? False Is -4152 at least as big as -4152? True Do -0.2 and -350 have the same value? False
{ "pile_set_name": "DM Mathematics" }
f). Calculate g(r). -2 Let f = -41 - 99. Let z = -138 - f. Let v(h) = 4*h**3 - 10*h + 5 - 9*h**3 + 6*h**3 + 2*h**z + 8*h**2. What is v(-11)? -6 Let r(g) = -g**2 + 6*g + 6. Suppose 4*d = -8, -3*w - 4 = d - 14. Let s be 4/2*(w - (-1 - -4)). Let v be ((-1)/s)/((-3)/(36*1)). Calculate r(v). 6 Let h(g) = g**2 - 33*g - 32. Let j be h(34). Suppose -j*k + 5 = 17. Let a(z) = 2*z + 6. What is a(k)? -6 Let a(i) = -i**3 - 13*i**2 + 5*i + 30. Let h be ((-2340)/130)/(3*-3*2/(-12)). Give a(h). -174 Suppose -6*g = -45*g - 13*g - 52. Let a(j) = -j**3 - 44*j + j**2 + 44*j. Calculate a(g). 2 Suppose 0 = -128*i + 126*i - 11 + 21. Let w(s) = -9*s - 1. Give w(i). -46 Suppose 15*u + 68 = 98. Let o(z) = -3*z**2 + z - 2. Give o(u). -12 Suppose 210*w - 206*w + 3*h = -34, -2*w - 3*h = 20. Let a(t) = 2*t**3 + 14*t**2 - 4*t - 10. What is a(w)? 18 Let o be 2/6 - 14/6. Suppose 8*s = -5 + 21. Let w(f) = 3 + 82*f - 85*f - s. Determine w(o). 7 Let v(d) = 14*d**3 + 73*d**2 - 2*d - 9. Let j(i) = -13*i**3 - 72*i**2 + 3*i + 4. Let n(o) = 4*j(o) + 3*v(o). Give n(-7). -4 Let s(z) = -536 - 4*z + 233 + 287. What is s(-5)? 4 Suppose 9*v - 98 - 37 = 0. Let d = 16 - v. Let f(x) = 9*x**2 - 2*x - 5. Let g(j) = -j**2 - j - 1. Let q(p) = d*f(p) - 4*g(p). Give q(1). 14 Let o = -70 + 78. Let b(p) be the first derivative of p**5/120 - p**4/3 + 5*p**3/3 + 8. Let z(a) be the third derivative of b(a). What is z(o)? 0 Let o(l) = l + 72641 - 7*l - l**2 - 72636. Let u = 54 - 60. Calculate o(u). 5 Suppose p + 7*p + 8 = 0. Let j(f) be the first derivative of -15*f**2/2 + 10*f - 6. Let n(t) = -5*t + 3. Let s(y) = -3*j(y) + 10*n(y). Give s(p). 5 Let l = 157 - 146. Let h(w) = -4*w + l*w**2 + 2*w - 12*w**2 - 19 + 21. Let n be 3/(2 + 1/(-2)). Calculate h(n). -6 Let m(t) = -t**3 + 8*t**2 + 3. Let w(r) = -r**3 + 25*r**2 + 18*r - 2. Let y be w(26). Let l = y - -218. Determine m(l). 3 Let l(z) = -22*z - 20. Suppose 4*f - 6*f - 14 = -4*n, -5*n = -f - 10. Let i(q) = 8*q + 7. Let v(g) = f*l(g) - 14*i(g). Determine v(-4). 10 Suppose 5*r = -1 + 106. Let h = -21 + r. Suppose 7*t = -h + 28. Let l(x) = -x**3 + 6*x**2 - 4*x - 3. Give l(t). 13 Let y(x) = -4*x**3 + 99*x**2 + 30*x - 136. Let f be y(25). Let s(t) = t**3 + 12*t**2 + 9*t - 10. Give s(f). 12 Let m(u) = -163*u**3 + 7*u**2 + 4*u + 15. Let i(q) = -27*q**3 + q + 1. Let j(t) = -6*i(t) + m(t). Suppose -4*z = -3*z - 7. Give j(z). -5 Let f(z) = z**2 - 2340*z + 19 - 2362*z + 4697*z. Give f(8). 43 Let p(r) = 4 + r**2 - 496*r + 505*r + 1. Let q be p(-9). Let c(j) = -j**3 + 4*j**2 + 5*j. Calculate c(q). 0 Let b(n) = -n + 3. Let q = 80 + -53. Let f(g) = 13*g + 10. Let m be f(2). Suppose -m = -31*k + q*k. Determine b(k). -6 Let t(f) = -36*f - 6 + 77 + 101*f - 25*f - 20*f. Give t(-4). -9 Let m(i) = -i + 2. Suppose 0 = -4*c + 74 + 6. Let j = c - 15. Suppose s = -2*x + 13, -s = -j*x - 0*s + 43. What is m(x)? -6 Let s(r) = -30*r + 41*r - r**2 - 1 - 4 - 1 - 3. Give s(11). -9 Suppose -2*t - 6 = 4*h, -h + 3 = t - 5*t. Let v = h - 3. Let i(n) = 6 - 4 + n**2 - 1119*n + 1125*n. Determine i(v). -6 Let u(o) = -o**2 - 4*o - 2. Suppose -34*c = -39*c - 3800. Let s = c + 753. Calculate u(s). -23 Let d(u) be the second derivative of 5*u**3/6 + u**2/2 - u. Let v be 69/3 + -45 - -33 - (-10)/(-1). Calculate d(v). 6 Suppose -3*p + 5 + 4 = 0. Let b(m) = 7*m**3 - 12*m**2 - 13*m - 37. Let k(y) = 8*y**3 - 14*y**2 - 15*y - 43. Let d(f) = 7*b(f) - 6*k(f). Calculate d(p). 23 Let v(a) be the second derivative of a**3/6 - 15*a**2/2 + a + 44. Give v(7). -8 Suppose -48*p = 7*p + 330. Let v(b) = b**2 + 9*b + 14. Determine v(p). -4 Let j(s) be the second derivative of s**3/6 + 9*s**2/2 - 820*s. What is j(11)? 20 Let c(n) = -7*n + 4. Let g(v) = 15*v - 9. Let p(t) = 7*c(t) + 3*g(t). Let k be p(2). Let a(o) be the second derivative of o**3/6 - 2*o**2 - 489*o. Give a(k). -11 Let j(s) = -12*s - 47. Suppose -20*k = 193 - 93. Calculate j(k). 13 Suppose 6*s - 3*s + 11 = -2*r, 0 = -3*r + s. Let v(m) = 115*m - 21*m - 2 - 1 - 82*m - 22*m. Calculate v(r). 7 Let n(s) = -s**3 - 6*s**2 - 2*s + 8. Let g be n(-8). Let p = g + -82. Let c(b) = -26*b - p + 10*b + 70. Calculate c(-1). 16 Let w(o) be the first derivative of o**5/120 - 13*o**4/12 - o**3/3 - 79*o**2/2 - 176. Let u(g) be the third derivative of w(g). Determine u(11). -15 Let c(f) be the first derivative of -2*f**2 - 88*f - 4915. What is c(-25)? 12 Suppose 0 = r + 4*l + 1, -2*l = 5*r - 4*r - 5. Suppose 12*y - r*y = 12. Suppose -9 = -y*h - 57. Let u(t) = 2*t + 5. Calculate u(h). -3 Let u be -1*(0 - (0 - (-1 + 0))). Let y(g) be the third derivative of -g**2 + 0*g**3 + 1/15*g**6 + 0*g + 0 + 0*g**4 + 0*g**5. Give y(u). 8 Let i(o) = -148*o**2 - 13*o + 73*o**2 - 10 + 77*o**2 + 15*o. Calculate i(-4). 14 Let b(v) be the first derivative of -3*v**4/4 - 14*v**3/3 + 2*v**2 - 11*v - 1314. Determine b(-5). -6 Let x be 12*3/(-2) + -3. Let s = 23 + x. Let c(q) be the third derivative of q**6/120 - q**5/20 + q**4/6 - q**3/3 - 9*q**2. Give c(s). 2 Let c(m) = -44 - 96*m + 48 + 52*m + 12*m**2 + 44*m. Give c(1). 16 Let v(b) be the third derivative of -7*b**6/60 + b**5/15 + b**4/4 - 7*b**3/6 - 5181*b**2. Determine v(1). -11 Suppose -23*k = -131 + 85. Let v(q) be the first derivative of -q**5/30 + q**4/12 + q**3/6 - 5*q**2/2 - 1. Let x(h) be the second derivative of v(h). Give x(k). -3 Suppose -24*i + 22 = -218. Let d(h) = -7*h + 3*h + 7*h + h + i. Give d(-4). -6 Let m(i) = 3*i**3 - 20*i**2 + 15*i. Let p(d) = 7*d**3 - 40*d**2 + 28*d + 3. Let x(y) = -5*m(y) + 2*p(y). Calculate x(19). 6 Let r(x) = -18*x - 3. Let f be ((-10)/55 - 1730/44)*-2. Let p = f - 77. Let a(z) = 9*z + 1. Let c(o) = p*r(o) + 5*a(o). Calculate c(1). 8 Let h(o) = -7*o**3 + o**2 + 2*o - 3. Let a(z) = -z**3. Let b(q) = 3*a(q) - h(q). Let g be 99/(-18)*(-8)/22. What is b(g)? 27 Let r(h) be the third derivative of -h**4/24 + h**3/3 + 1309*h**2. Let m(q) = -q**2 + 4*q + 7. Let i be m(5). What is r(i)? 0 Let n(v) = -v**2 + 21*v + 133. Let x be n(-5). Let s be 7 - 12 - (-9)/x. Let k(g) = g**2 + 2*g + 2. Calculate k(s). 2 Let p(r) be the third derivative of -r**8/5040 + r**7/840 + 33*r**5/20 + r**3/3 - 6*r**2 - 1. Let k(t) be the third derivative of p(t). Determine k(2). -4 Let b(f) = f**3 + f**2 - f - 8. Suppose 21*q - 53 = 10. Suppose -8 = 4*s - 4*y, -q*y + y = 5*s - 4. Calculate b(s). -8 Let x(u) = u**3 + 3*u**2 + 11*u + 30. Let p(d) = -2*d**3 + 40*d**2 + 14*d - 283. Let t be p(20). Calculate x(t). -3 Let d = 171 + -159. Suppose -4*x = -d*x. Let i(g) = -g**2 - 5. Calculate i(x). -5 Let m(g) = 7*g**2 + 2 - 4*g**2 - 6*g + 4 - 9*g**2 + 5*g**2. Suppose -3*z - 25 = -4. Calculate m(z). -1 Let v = 41937 - 41941. Let t(a) = 2 + 3*a + 2 + 2*a. Determine t(v). -16 Let u(k) = -2*k - 2. Let r = -272 + 302. Let n be (-6)/(-15) + (-26)/r*-3. What is u(n)? -8 Let p(c) be the first derivative of -4*c**3/3 + c**2/2 - c + 148994. Let u(d) = d**2 - 1. Let a be u(1). Let o = 1 + a. Give p(o). -4 Let g(d) = d + 2. Let l(p) = p**3. Let a be l(0). Suppose -3*n + 195 = -a*n. Let z = 62 - n. Give g(z). -1 Let m(p) be the third derivative of p**6/120 - p**5/20 + p**4/24 + 7*p**3/6 + 10*p**2. Let b be m(3). Let s(w) = w - 17. Give s(b). -7 Let t(j) be the second derivative of -2*j**3/3 - 7*j**2/2 - 6*j. Let m = -10 + 15. Calculate t(m). -27 Let v = 44 + -44. Suppose m + z + 1 = v, -2*z = -3*z - 5. Let n be 88/16 - (-2)/m. Let h(a) = -3*a + 3. What is h(n)? -15 Let g(f) = 14*f**3 - 11*f**2 - 52*f - 13. Let j(b) = 17*b**3 - 12*b**2 - 60*b - 14. Let q(p) = 6*g(p) - 5*j(p). What is q(-5)? 27 Let c(o) = 8*o + 177. Suppose -5*b - 5*v - 110 = 0, -19*v + 22*v = b + 18. What is c(b)? 9 Let o(i) = 21*i**2 - 5*i - 29*i**2 + 7*i**2 + 270 + 228 + 15*i. Determine o(28). -6 Let z = 157 + 145. Let a = 304 - z. Let c(d) = d**3 - 4*d**2 + 4*d + 2. Let h(q) = 3*q**3 - 13*q**2 + 13*q + 6. Let w(t) = -7*c(t) + 2*h(t). What is w(a)? -6 Suppose -h = -4*s + 10, 20 = 14*h - 18*h - 4*s. Let g(j) = 12*j. Give g(h). -72 Let s(q) = 3*q - 12. Suppose -3 = -l - 2*v, -l + 80*v = 83*v. Calculate s(l). 15 Suppose 4*t - 27*j - 832 = -29*j, 414 = 2*t + 2*j. Suppose 451 = -60*x - t. Let v(k) = 2*k**2 + 22*k - 3. What is v(x)? -3 Let f(i) = 0*i**2 - i**2 - 198 + 1210526*i - 1210481*i. Determine f(40). 2 Suppose 2*q - 3 = 5*q, -3*b - 2*q = -19. Suppose 3*z + 60 = b*z - 4*k, -4*z = -2*
{ "pile_set_name": "DM Mathematics" }
is the tens digit of 8550726? 2 What is the ten thousands digit of 229335? 2 What is the hundreds digit of 3564941? 9 What is the thousands digit of 6486568? 6 What is the hundreds digit of 693377? 3 What is the ten thousands digit of 390167? 9 What is the thousands digit of 159559? 9 What is the thousands digit of 6940? 6 What is the ten thousands digit of 227358? 2 What is the millions digit of 9392303? 9 What is the units digit of 19214327? 7 What is the tens digit of 1612874? 7 What is the units digit of 454199? 9 What is the millions digit of 4799006? 4 What is the hundreds digit of 3975093? 0 What is the ten thousands digit of 951872? 5 What is the hundreds digit of 336114? 1 What is the hundreds digit of 6478119? 1 What is the thousands digit of 91729? 1 What is the hundreds digit of 15157659? 6 What is the hundred thousands digit of 13081531? 0 What is the thousands digit of 344033? 4 What is the ten thousands digit of 3760891? 6 What is the units digit of 1130531? 1 What is the tens digit of 2325189? 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{ "pile_set_name": "DM Mathematics" }
**2 + 2*t + 8. Let h(u) = -u**3 + 7*u**2 - u + 11. Let s be h(7). Let i be d(s). Round i to the nearest ten thousand. 10000 Let b = 82 - 35. Let c = 52.3 - b. Round c to the nearest integer. 5 Let v = -8.49983 + 8.5. Round v to 4 decimal places. 0.0002 Let j = 123456 - 1050574. Let u = j + 927120.999995. Let b = u - 3. What is b rounded to 5 dps? -0.00001 Let r = 92 + -131. Let k be 2*r/(-9)*9. What is k rounded to the nearest 10? 80 Let j = 0.15 + 0.85. Let l = -20514.999976 + 20516. Let c = j - l. Round c to five dps. -0.00002 Let u(r) = r**3 + 1. Let i(a) = -6*a**3 - 6*a**2 - 2*a + 10. Let y(t) = -i(t) - 4*u(t). Let q be y(-7). What is q rounded to the nearest 100? -400 Let f = -123.764 + 124. Let o = 12 - 11.72. Let l = o - f. Round l to 2 dps. 0.04 Let o = 138 - 201. Let k = 62.49 + o. Let i = k + 0.5. What is i rounded to 2 decimal places? -0.01 Suppose w - 426 = 2*w. Let u = -130 - w. Suppose -s + 724 = -u. What is s rounded to the nearest 100? 1000 Let c = 47 - 46.9999824. Round c to six decimal places. 0.000018 Let z = 226 + 16374. Suppose 3*q = 2*q + z. Suppose -2*n + q = -0*n. Round n to the nearest one thousand. 8000 Let m = -65918 + 65858.827. Let p = m + -0.027. Let q = -47 - p. What is q rounded to zero decimal places? 12 Suppose 3*v + 0*i - 3*i + 351 = 0, 0 = 5*v - 2*i + 600. What is v rounded to the nearest ten? -120 Let s = 92299222 + -92299150.999901. Let l = s + -71. What is l rounded to 5 dps? 0.0001 Let y = -5.09 + 0.09. Let l = y - -5.4. What is l rounded to 1 decimal place? 0.4 Let r = -1228693615.00000092 + 1228693576. Let q = r - -39. What is q rounded to 7 dps? -0.0000009 Let d = -6 - -4. Let w = -9 - -11.8. Let f = d + w. What is f rounded to the nearest integer? 1 Let c = -318307.02999986 + 318307. Let u = -0.03 - c. Round u to 7 decimal places. -0.0000001 Let h be 44001 + -1 - 0*(-5)/40. What is h rounded to the nearest 10000? 40000 Let h = 0.9 - 0.90004. Round h to 5 dps. -0.00004 Let b = 8 + -2. Let l be (b/5)/((-7)/(-910)). What is l rounded to the nearest 10? 160 Let d = 28 - 27.9. Let y = d + -0.09999987. Round y to seven dps. 0.0000001 Let s = -25 + 24.9999908. Round s to 6 decimal places. -0.000009 Let d(s) = 6475*s**3 + 2*s**2 + 12*s + 11. Let h be d(9). Let g = h + -2720556. Round g to the nearest 1000000. 2000000 Let j(l) = l**2 + 4*l + 2. Let z be j(-3). Let p be (-343)/14 + z/2. Round p to the nearest ten. -30 Let m(z) = -281*z**3 + 1. Let c be m(1). What is c rounded to the nearest one hundred? -300 Let t = 101 - 101.000101. Round t to 5 dps. -0.0001 Let k = -0.00012 + 0. What is k rounded to four dps? -0.0001 Let l be -3*87500/18*-48. What is l rounded to the nearest one hundred thousand? 700000 Suppose 526441 = -3*c - 4*z, 4*c + 5*z + 321107 = -380813. Let p = c + 258475. Round p to the nearest 10000. 80000 Let a = 719761 + -466147. Let r = a + -253613.9400074. Let o = 0.06 - r. What is o rounded to six decimal places? 0.000007 Let q = 0.31 - -0.05. Round q to 1 dp. 0.4 Let v = -161 - -357. Let g = v + -196.000109. What is g rounded to five dps? -0.00011 Let v = -39.0000171 + 39. Round v to 6 decimal places. -0.000017 Let n = 18 + -75. Let d = 41 + n. Let f = d - -15.9972. What is f rounded to 3 dps? -0.003 Let r = 130 + -37. Let j = 36.2 - r. Let b = j + 62. Round b to the nearest integer. 5 Let o = -1.004931 - -1.05493. Let d = o + -0.05. Round d to seven dps. -0.000001 Suppose 3*d + d = 680032. Suppose 0 = -2*n - 3*n - 2*c - 169992, -5*n + 2*c - d = 0. What is n rounded to the nearest 10000? -30000 Let h = -0.91 + 0.11. Let p = -96892.19982 - -96893. Let l = p + h. What is l rounded to 4 decimal places? 0.0002 Suppose 0*n - 14 = 2*n. Let k(u) = -539415*u + 9. Let m be k(n). Suppose -5*r + 924086 = -m. Round r to the nearest 100000. 900000 Let k = -301 + 300.9746. Round k to two decimal places. -0.03 Let y = 6 - 6.0000002. Round y to 7 dps. -0.0000002 Let f = -0.05 + 0.04999931. What is f rounded to 7 dps? -0.0000007 Let g = 155.56 + -10.14. Let z = g - 147. Let n = -0.02 + z. Round n to 0 dps. -2 Let c(v) = -7332*v + 8. Let i(d) = d**2 + 7*d + 6. Let g = -7 + 3. Let r be i(g). Let y be c(r). What is y rounded to the nearest 10000? 40000 Let o = -55 - -55.96. Let p = o - 0.06. Let y = 1.35 - p. Round y to one dp. 0.5 Let n be 10*-9*(-42)/9. Round n to the nearest one hundred. 400 Let b(w) = 5*w**3 + 2*w**2 - 8*w + 5. Let f(t) = -6*t**3 - t**2 + 8*t - 5. Let q(k) = -5*b(k) - 4*f(k). Let r be q(-6). What is r rounded to the nearest ten? -50 Let y = -188569 + 508593. Suppose -h - h = -y. Suppose 4*d + p = -319996, -3*p + h = -2*d - 0*d. Round d to the nearest 100000. -100000 Let o be 2/(-9) - (-114)/27. Suppose -p + 5*s = 4*p - 205, p - o*s = 38. Round p to the nearest ten. 40 Let m be (-2)/(-11) + 254346/(-22). Let k = 16561 + m. Round k to the nearest 10000. 10000 Let x = 23.2882 + 0.0118. Let c = x + -25. Round c to zero decimal places. -2 Let d = 47 + -47.00000115. What is d rounded to 7 decimal places? -0.0000012 Let t be (-71999996)/(-18) - (-6)/27. What is t rounded to the nearest one million? 4000000 Suppose 0 = 2*s + 200951 + 11049. Round s to the nearest 10000. -110000 Let a = 5.337 + -0.037. Let h = a + -4.88. What is h rounded to one dp? 0.4 Let j = 9 - 8.99998. What is j rounded to 5 dps? 0.00002 Let a = 7 - -14. Let u = 20.99975 - a. Round u to four dps. -0.0003 Let c(s) be the second derivative of 239*s**4/12 + 2*s**3/3 + 5*s**2/2 - s. Let f be c(5). Round f to the nearest ten thousand. 10000 Let q = 2880919585 - 2880919412.0000087. Let d = 178 - 351. Let g = d + q. Round g to 6 decimal places. -0.000009 Let c = 3056.1382 + -3057. Let z = 0.85 + c. What is z rounded to 3 decimal places? -0.012 Let f = -10.18 + 0.18. Let h = f - -10.18. Let d = 0.17999966 - h. Round d to seven dps. -0.0000003 Let y(g) = -999*g**2 + 3*g + 2. Let n = -9 - -7. Let a be y(n). What is a rounded to the nearest one thousand? -4000 Let r = -0.57 + 0.07. Let y = r + 0.50000042. What is y rounded to seven decimal places? 0.0000004 Let k = -5 + -14. Let g = 57076.9964 - 57058. Let v = g + k. What is v rounded to three dps? -0.004 Let d = -0.8 - -9.8. Let k = d + -7. Let l = 1.999997 - k. What is l rounded to six dps? -0.000003 Suppose -12*v = -47260016 - 243139984. What is v rounded to the nearest 1000000? 24000000 Suppose 4*v + 0*v = s - 2260012, -4*v = 3*s - 6779988. What is s rounded to the nearest one million? 2000000 Let y = -6 + 3. Let v be y/6*2*-3. Let k be 1 - 43003 - (1 - v). Round k to the nearest ten thousand. -40000 Let n = 150 + -147.248. Let a = n - 2.7. What is a rounded to two dps? 0.05 Let t = 132.802736 + 0.098264. Let k = t + -133. Round k to 2 dps. -0.1 Let k = -23 - 53. Let d = 76.0598 + k. Let u = -0.06 + d. What is u rounded to three dps? 0 Let u be (5*2)/(4/2). Suppose 425010 = u*f - 5*z - 0*z, 5*z - 169990 = -2*f. Round f to the nearest ten thousand. 90000 Let r(j) = -10*j - j**2 + 12 + 7 + 0*j**2 - 6. Let l be r(-11). Suppose 0 = 4*p - 5*u - 12010, 4 + 0 = -l*u. What is p rounded to the nearest 10000? 0 Suppose 3*d + 780138 = -4*y + 2354696, -20 = -4*y. Let o = d + -1754846. What is o rounded to the nearest 100000? -1200000 Let c = -4.6 + 4.60000115. What is c rounded to six dps? 0.000001 Let u = -0.066 + 0.129. Round u to two dps. 0.06 Let o = 26432 + 11468. What is o rounded to the nearest one thousand? 38000 Let d = -2.4 - -5.4. Let a = 2.9 + -6.42. Let r = a + d. What is r rounded to one dp? -0.5 Let u(o) = -o**3 + o - 105. Let i be u(0). Let k = 157 + i. Round k to the nearest 10. 50 Let w = 1559.124 + 1786.281. Let v = w + -3337. Let y = -0.005 + v. Round y to zero dps. 8 Let f = -13.94 + 14. Let q = 76864.0599952 + -76864. Let n = q - f. Round n to six dps. -0.000005 Let y = 0.014 + -0.0248. Round y to three dps. -0.011 Let p = -100 - -99.9999931. What is p rounded to 6 dps? -0.000007 Let a(y) = 2*y - 9. Let u be a(6). Suppose 6*n - 2*n - 3*m - 4311 = 0, -5391 = -5*n + u*m. Round n to the nearest one hundred. 1100 Suppose -3*w + 1995 = -1431. Let d be (w/(-3))/(1/(-6)). Suppose 4*u - 356 = d. What is u rounded to the nearest 100? 700 Let q = 7 + 2. Let t = 74.5 + -83.605. Let p = q + t. What is p rounded to 2 dps? -0.11 Let j = -0.01 + -0.01. Let i = j + 0.08. Round i to 1 dp
{ "pile_set_name": "DM Mathematics" }
hat is the third derivative of -3*j**4 + 54*j**3 - 635*j**2? -72*j + 324 Differentiate 70*d**3*u*v - 3*d**3*u + 48*d**3*y + 7*d*v - u*v*y wrt y. 48*d**3 - u*v What is the first derivative of 518*d**3*j**2 - 9*d**3 - 6*d**2*j**2 + 484*d**2 wrt j? 1036*d**3*j - 12*d**2*j Find the second derivative of -6*t**3*y**5 - 72*t**3 + 12*t**2*y**5 + 2*t*y wrt y. -120*t**3*y**3 + 240*t**2*y**3 What is the third derivative of 1081*f**3 - 737*f**2? 6486 What is the second derivative of 4*m**3*n**2 + 40*m**3*n + m**2*n + m*n**2 + n wrt n? 8*m**3 + 2*m Find the second derivative of -3*n**2*r**3 + 7*n**2*y**2 + 3*n*r**3 + n*r**2*y + 3*r**3*y**2 - y**2 wrt n. -6*r**3 + 14*y**2 What is the third derivative of 34*n**5 - 100*n**2? 2040*n**2 What is the third derivative of -o**3*s + 37*o**3 - 398*o**2*s + 2*o*s wrt o? -6*s + 222 What is the second derivative of 176*f**5 + 9*f**3 - 2*f**2 + 13*f - 79 wrt f? 3520*f**3 + 54*f - 4 Find the second derivative of 3*h**4*k + 312*h**3*k + 2100*h*k wrt h. 36*h**2*k + 1872*h*k What is the second derivative of -3*j**5*u**2 - 53*j**2*u**2 - 466*j*u**2 - u**2 wrt j? -60*j**3*u**2 - 106*u**2 Differentiate 3*m**4*u**3 - 701*m**4*u**2 - 2*u**3 + u**2 - 126 with respect to m. 12*m**3*u**3 - 2804*m**3*u**2 Differentiate k**3*l - 2*k**2*l**2 + 994*k*l + l**2 + 4152 wrt k. 3*k**2*l - 4*k*l**2 + 994*l What is the third derivative of -10522*r**4 - 1301*r**2 - 2 wrt r? -252528*r What is the second derivative of -359*a**5 + a**4 + 2299*a? -7180*a**3 + 12*a**2 Find the second derivative of 42*z**3 - 54*z**2 - 14*z + 538 wrt z. 252*z - 108 What is the second derivative of 4*o**4 - 62*o**3*q**2 + o + 427*q**2 wrt o? 48*o**2 - 372*o*q**2 What is the derivative of 9725*b - 9256 wrt b? 9725 What is the second derivative of -329*d**3*m**2 - 11*d**3 - 3*d**2*m - 2*m**2 + 1 wrt m? -658*d**3 - 4 What is the second derivative of -2*p**3*x**2 + 886*p**3*x + 1870*p*x**2 wrt x? -4*p**3 + 3740*p Differentiate 2*m**2*p**2 + 3*m**2 - 189*m*p**3 + 159 wrt p. 4*m**2*p - 567*m*p**2 Differentiate 169*b**2*q + 19*b**2 with respect to q. 169*b**2 What is the third derivative of -111*f**5 - f**4 + 72*f**2 + f? -6660*f**2 - 24*f What is the second derivative of -7*p**3 - 11*p**2 - 711*p wrt p? -42*p - 22 Find the first derivative of -a*s**2*w - 3*a*s*w - 11*a + 7*s**2*w - 2*w + 5 wrt s. -2*a*s*w - 3*a*w + 14*s*w Differentiate c*l**4*o - 3*c*l*o + 578*c*o - 8*l**4 + o - 1 with respect to l. 4*c*l**3*o - 3*c*o - 32*l**3 What is the derivative of 1254*l - 8237 wrt l? 1254 What is the third derivative of -14*f**2*t**2*z**3 + 7*f**2*t*z**3 + f**2*z + 7*f*t**2*z**2 + 5*t**2*z + 2*z**2 wrt z? -84*f**2*t**2 + 42*f**2*t What is the third derivative of 7*f**6 + 4*f**4*p**2 + 2*f**3 + f**2*p**2 - 33*f*p**2 wrt f? 840*f**3 + 96*f*p**2 + 12 What is the third derivative of -10640*h**3 + 10928*h**2 wrt h? -63840 Find the second derivative of -34*c*t**3 - 689*c*t + 5*c - 7*t**3 - 2*t**2 - 2*t wrt t. -204*c*t - 42*t - 4 Find the second derivative of 6344*u**5 - 4509*u wrt u. 126880*u**3 Find the second derivative of 4*g**4 - 787*g**2 - 4475*g. 48*g**2 - 1574 What is the second derivative of 413*m**4 - 3*m**2 - 2*m - 15 wrt m? 4956*m**2 - 6 Find the second derivative of 35*g**2 - 1267*g. 70 What is the derivative of 11312*d*l - 10477*l wrt d? 11312*l Find the third derivative of -1403*o**3*r**2*t - 4*o**2 - 49*o*r**2*t - 3*r*t wrt o. -8418*r**2*t What is the second derivative of -27*r**2 - 108*r + 2 wrt r? -54 Find the second derivative of -2*m**3*w*z + 49*m**2*z - m*w*z - 6*z wrt m. -12*m*w*z + 98*z Find the third derivative of -11494*c**3 - 3*c**2 - 7*c - 10 wrt c. -68964 Differentiate t**3*y*z**2 + t**3*z**3 - 7*t - 30*y*z**3 wrt y. t**3*z**2 - 30*z**3 What is the second derivative of 871*z**2 + 1216*z? 1742 What is the first derivative of -128*a**3 - 122? -384*a**2 What is the first derivative of -46*d**3 - 459 wrt d? -138*d**2 What is the third derivative of -72*r**5*u**3 + 22*r**5*u - 12*r**2*u**3 - 8*r**2*u**2 - 2*r**2*u - r**2 wrt r? -4320*r**2*u**3 + 1320*r**2*u Find the third derivative of 9254*j**6 - 1547*j**2 wrt j. 1110480*j**3 What is the second derivative of 862*c**2 + 351*c wrt c? 1724 Find the third derivative of n**6 + 24*n**4 - 282*n**2. 120*n**3 + 576*n What is the third derivative of -18*d**3*f - 5*d**3 - 2*d**2 + 8*d*f - 1 wrt d? -108*f - 30 What is the third derivative of -1712*c**3*w**3 + 294*c**3*w**2 - 2*c*w**2 wrt w? -10272*c**3 Find the first derivative of -2*k**2*r + k*r + 9*k*w + 3*r*w + 2*r + 9 wrt k. -4*k*r + r + 9*w Find the third derivative of -6*a*f**4 - 3*a*f**3*z - 475*a*z + 37*f**4*z - 3*f**2*z - z wrt f. -144*a*f - 18*a*z + 888*f*z Differentiate 13*a**4*y + a*y**3 + 33*y**3 - 3*y**2 with respect to a. 52*a**3*y + y**3 Find the second derivative of 7*j*t**2*z - 4*j*t*z**2 - 83*t**2*z**2 - 35*t*z + 3*t wrt t. 14*j*z - 166*z**2 What is the third derivative of 20*u**5 - 8*u**4 + 821*u**2? 1200*u**2 - 192*u Find the third derivative of 3*c*v**5 + 14*c*v + 2*v**6 + 21*v**4 + 2*v**2 + 5*v wrt v. 180*c*v**2 + 240*v**3 + 504*v Find the third derivative of -2*u**3*y**4 + 1130*u**3*y - 41*u*y**3 + 2*y**3 + y**2 wrt y. -48*u**3*y - 246*u + 12 Find the second derivative of -2*g*s**4 + 142*g*s**2 - 104*g*s - g wrt s. -24*g*s**2 + 284*g What is the second derivative of 3*g**2*l**3 + 52*g**2*l**2 + 3*g**2*l + 314*g*l wrt l? 18*g**2*l + 104*g**2 Find the first derivative of -9*m**2*n**2 - 185*m**2 - 72*m*n**2 + 2*m + 5 wrt n. -18*m**2*n - 144*m*n Find the second derivative of 34*p*w**3*y + 2*p*w**2 - 3*p*w*y - p*y + 56*w**3*y - 16*w*y + 13*w wrt w. 204*p*w*y + 4*p + 336*w*y Differentiate -3366*l*v**2*z**3 + 1194*v**2*z**3 with respect to l. -3366*v**2*z**3 What is the second derivative of -10231*j**2 + 8859*j? -20462 Find the third derivative of -14436*z**5 - 180*z**2 - 2*z wrt z. -866160*z**2 Differentiate 2*h**3*w**3 - 522*h**2*w**3 - 857*w**3 with respect to h. 6*h**2*w**3 - 1044*h*w**3 Find the third derivative of 6*b**5 + 168*b**4 + 2*b**2 - 8*b + 79 wrt b. 360*b**2 + 4032*b What is the second derivative of -2*a*g*j**5 - 5*a*g*j**3 - 4*a*g*j + 2*a*g + 4*a*j**2 - 15*g*j - 2 wrt j? -40*a*g*j**3 - 30*a*g*j + 8*a What is the first derivative of 7765*a*n - 1779*a - 1 wrt n? 7765*a What is the first derivative of 137*d**4 - 223? 548*d**3 Differentiate -321*g - 47 with respect to g. -321 Find the third derivative of -27317*v**3 + 602*v**2 + 16. -163902 Find the second derivative of k*v**4 - 431*k*v - 20*v**4 + v wrt v. 12*k*v**2 - 240*v**2 Find the second derivative of -302*b**2*y + 3*b - 7*y wrt b. -604*y What is the third derivative of -732*m**5 + 194*m**2 - 3? -43920*m**2 Differentiate -8*d**4*m**2 - 9*d**2*m**2 + 16*m**2 - 5 with respect to d. -32*d**3*m**2 - 18*d*m**2 What is the second derivative of -2*c**3*m**3 - c**3*m - 14*c**2 + 154*m**4 + m**3 + 10*m wrt m? -12*c**3*m + 1848*m**2 + 6*m Find the second derivative of b**4 - 83*b**2 + 198*b wrt b. 12*b**2 - 166 Find the third derivative of -7410*c**3 + 2*c**2 - 21*c - 110. -44460 Differentiate -12*k*q**4 + 491*k + 40*q**4 wrt q. -48*k*q**3 + 160*q**3 What is the first derivative of 2*n**4 + 2*n*o*v + 602*n*v**2 - 2*o*v**2 + 3*o + 1129*v wrt n? 8*n**3 + 2*o*v + 602*v**2 What is the third derivative of 2*p**2*w**6 + 33*p**2*w**3 + 25*p**2*w**2 - 2*p**2*w wrt w? 240*p**2*w**3 + 198*p**2 What is the third derivative of w*x**3 + 2*w + 179*x**3 + 31*x**2 - 2*x wrt x? 6*w + 1074 Find the second derivative of -953*t**5 + 2*t**3 + 7735*t. -19060*t**3 + 12*t Differentiate 1063*c**2 - 2706. 2126*c Differentiate -a**4 + 274*a**3*k**2 + 409*k**2 with respect to a. -4*a**3 + 822*a**2*k**2 Find the second derivative of -148*v**2*y**3 + 5*v**2*y**2 - v**2*y - 2*v**2 + v*y + 735 wrt y. -888*v**2*y + 10*v**2 Find the third derivative of -9550*g**5 + 132*g**2 - 21. -573000*g**2 What is the first derivative of 63*o**3 - o - 213 wrt o? 189*o**2 - 1 What is the second derivative of -133*j**2 - 19*j - 4? -266 Find the third derivative of -7991*f**3 + 90*f**2 + f + 2 wrt f. -47946 Find the third derivative of -9*g**3*o**3 - 9*g**3*o*y + g**3*y - 139*g**2*o**3*y + 2*g**2*y + o*y wrt g. -54*o**3 - 54*o*y + 6*y What is the derivative of 12*a**4*s**3 + 20*a**4 - 3212*s**3 wrt a? 48*a**3*s**3 + 80*a**3 Find the second derivative
{ "pile_set_name": "DM Mathematics" }
10*f + 2*f)*(29 - 8 + 4). -300*f**3 Expand -78100*v**3 + 78100*v**3 + 22*v**4 - 3*v + (3*v + v**4 - 3*v)*(-1 - 1 + 1). 21*v**4 - 3*v Expand (-2 - 67 - 58 + 14)*(0*r**4 + r**4 + 3*r**4). -452*r**4 Expand 2*j**3 + 4*j**2 - 4*j**2 + (-j**2 + 2*j**2 - 2*j**2)*(-2 + 2 - j) + 18*j**3 + 6*j**3 + 21*j**3. 48*j**3 Expand -2029*p - 2 + 25*p**2 + 2029*p + 3*p**2 + p**2 - 3*p**2 + (4*p - 4*p - 2*p)*(-p - p + 4*p). 22*p**2 - 2 Expand (353*u + 473 - 473)*(-7*u + 2*u - u) + u**2 + 0*u**2 + 0*u**2. -2117*u**2 Expand (1297 + 3721 + 5475 - 800 - 1239)*(-4*v**5 + 3*v**5 + 4*v**5). 25362*v**5 Expand (1682*x - 70 - 2 - 1681*x)*(-2 + 2 + 2*x)*(-25*x - 33*x - 17*x + 23*x). -104*x**3 + 7488*x**2 Expand (-1 - 3 + 2)*(2*o - 2*o - 6*o) + (-3 + 1 - 1)*(4 - 1 - 2)*(244*o + 106 - 241*o + 94). 3*o - 600 Expand 7383*k**3 - 4597*k**3 - 3982*k**3 + (-2*k**3 - k + k)*(-2 + 3 + 2) - k + k - k**3. -1203*k**3 Expand (-50*s**2 + 38*s**2 - 32*s**2)*(-3*s - 10*s - 7*s). 880*s**3 Expand (87 - 66 - 1049 - 96 - 1338)*(2 + s - 2). -2462*s Expand (-2*w + 0*w + 3*w)*(-7*w**3 + 8*w**3 + 12*w**3) + 6142 + 20*w - 6142 - 4*w**4. 9*w**4 + 20*w Expand (-2 + 2*u + 0 + 0*u)*(-2448 - 3687 - 292). -12854*u + 12854 Expand (-149 + 4*b - 6*b + 128)*(-6*b**3 - 3*b**3 - 4*b**3). 26*b**4 + 273*b**3 Expand (-117*w + 58*w - 23 + 58*w)*(5 + 3 - 4) - 2*w + 3*w + 2*w. -w - 92 Expand -117*v**4 + 131*v**4 - 3*v**2 + 259*v**5 - 248*v**5 + (-4*v + 4*v + 2*v**3)*(-v + 2*v**2 - v + 4*v). 15*v**5 + 18*v**4 - 3*v**2 Expand (v**2 - 3 + 3)*(4*v - 3*v + 0*v) - 1 + v**3 + 1 + 8551*v**3 + 3998*v**3 + 9618*v**3 - 5026*v**3. 17143*v**3 Expand (2*v**4 - 3*v**4 - v**4)*(-1008 + 2267 - 307). -1904*v**4 Expand (-u - u + 5*u)*(u - 5*u + 3*u)*(31 - 57 + 34). -24*u**2 Expand (-d**2 - 3*d**2 - 5*d**2)*(2*d - 5*d + 2*d)*(31*d - 4*d + 2*d). 261*d**4 Expand 82 - 37 - 44 - 5*j**2 + (-2*j - 3*j + 4*j)*(117 - 117 - 8*j + (2*j - 3*j + 2*j)*(-2 - 2 + 3)). 4*j**2 + 1 Expand -3*h + 2*h + 2*h + (-3*h + 3*h - 2*h)*(2 - 3 + 3 + (0 - 3 + 5)*(2 - 3 + 0) - 2 - 2 + 5 - 6 - 19 + 0) + (2 + 2 - 2)*(-3*h + 5*h - 4*h) + h - 2*h + 0*h. 44*h Expand (-4 - 4 + 7 + 39 + 12 + 36 + (4 - 1 - 1)*(-4 - 1 + 4) - 6 + 1 + 4 - 3 + 3 - 1)*(-y + 8*y - 3*y)*(-2 - y**2 + 2). -328*y**3 Expand (0*v + 2*v + 0*v)*(2686 + 18972 - 7724 + 16974). 61816*v Expand (68 - 158 + 233)*(-2 + 0 + o + 1)*(-3*o + 0*o - o)*(5*o - 5*o - 3*o**2). 1716*o**4 - 1716*o**3 Expand (4*w**2 - w**2 - 4*w**2)*(286 + 1282 - 408)*(-2 + 0 + 0). 2320*w**2 Expand (4*y**2 - 3*y**2 - 3*y**2)*(-24*y + 6*y + 2627*y**2 + 6*y + 12*y + 8684*y**2). -22622*y**4 Expand (2*t**2 + 5*t**2 - 3*t**2)*(8*t**3 - 45*t**2 + 45*t**2) + (-5*t - 5*t - 53*t)*(t - t - t**4). 95*t**5 Expand l + 3 - 3 + (3*l - 57 + 17 + 22)*(1 + 1 - 3) + (2*l + l - 4*l)*(1 - 3 + 7). -7*l + 18 Expand (124*y + 99 - 68*y - 73)*(-4*y + 0*y + 3*y). -56*y**2 - 26*y Expand (8*z**2 + 7*z**2 - 7*z**2 - 2*z**3)*((-11 + 3 - 8)*(4*z - 5*z - 3*z) + 0 - z + 0)*(-3*z + z + 6*z). -504*z**5 + 2016*z**4 Expand (0*a + 0*a + a)*(218 - 34*a - 41*a + 90*a). 15*a**2 + 218*a Expand -1128*n**3 + 44*n**4 + 1128*n**3 + (2*n + 2*n + 0*n)*(-3*n - 4*n**3 + 3*n). 28*n**4 Expand -23*o + 5*o - 2*o + (2 - 2 + 1)*(2 - 2 + 2*o) - 4*o + o + 4*o + (-2 + 0 - 1)*(31*o + 34*o - 57*o). -41*o Expand (-12 - 8*n + 0 + 10*n + (-2 + 3*n + 2)*(-1 + 4 - 4))*(12*n - 97*n + 51*n). 34*n**2 + 408*n Expand (3*r - r + 0*r)*(20*r**3 + 18*r**3 - 49*r**3 + ((-3 + 2 + 0)*(-2 + 7 - 2) - 3 + 5 + 2)*(-2*r**2 + 2*r**2 + 2*r**3) - 2*r**3 + 3*r - 3*r). -22*r**4 Expand (0*m - 3*m - 5*m)*(46 + 83 - 47). -656*m Expand (-1179 + 300 + 300 + 297 - 337*m + 268)*(3 - 1 - 5). 1011*m + 42 Expand (-109 - 94 + 2)*(-8*k - k + 3*k). 1206*k Expand (0 - 1 + 3)*(-2*p**2 + 11467654*p**3 - 11477979*p**3 + 2*p**2). -20650*p**3 Expand (4*x**2 + 3*x**5 - 4*x**2)*(-4 - 3 + 5) + 48078*x**2 - 48078*x**2 - 3732*x**5. -3738*x**5 Expand (-368*r + 48*r - 21*r)*(-3*r + 2*r - 7*r). 2728*r**2 Expand -5*w**3 - 5*w + 5*w + (4 + 0 - 5)*(9*w**3 - 15*w**3 - 15*w**3) + 3*w**2 + 3*w**2 + 2 - 3*w**3 - 7*w**2. 13*w**3 - w**2 + 2 Expand (17689 - 12215 - 17495 - 20151 - 10328)*(2*l**2 - 6*l**2 + 2*l**2). 85000*l**2 Expand -5*p**2 - 18*p**2 + 0*p**2 + ((-36 + 11 + 15)*(2 + 2*p - 2) + (3*p + 6*p + 4*p + (3 - 2 + 1)*(2*p + 3*p - 4*p))*(-2 + 2 + 2))*(p - 1 + 1). -13*p**2 Expand d**2 - 16*d**2 - 19*d**2 + (-83 - 4*d + 83)*(3*d - 5*d - d). -22*d**2 Expand (3 + 2*c**4 - 4 + 2 + (2*c**4 - c**2 + c**2)*(-2 + 3 - 3))*(2*c - 5*c + c) + (0*c - 2*c + 4*c)*(-74*c**4 + 93*c**4 - 58*c**4). -74*c**5 - 2*c Expand (-1 + 1 - 1)*(-3*s + 2*s - s) - 15160 + 15160 - 2689*s. -2687*s Expand (-u - 3*u + 5*u + (-1 - 2 + 1)*(-2*u - 2 + 2) - 2*u - 2*u + u + 4*u - 4*u + u)*(-698 + 175 - 10) - 2*u - 2*u + 5*u. -1598*u Expand (-12*h - 15*h - 23*h + 2*h + 0*h - h - h + 2*h + h + (3 - 4 + 3)*(-2*h + h + 2*h))*(-9 - 6*h - 2205*h**2 + 2*h + 2207*h**2). -90*h**3 + 180*h**2 + 405*h Expand (-3*x + 0*x + 2*x)*(14*x**4 + 13*x**4 - 15*x**4) - 2*x**5 - 68 + 93 - 66. -14*x**5 - 41 Expand (7 - 5 + 5)*(-82*l + 30*l + 38*l)*(-l**3 + 2*l**3 + l**3). -196*l**4 Expand (114 + 87 - 29)*(4*z - z**5 - 4*z) + z**5 - 9*z**5 + 0*z**5. -180*z**5 Expand (4*u**2 + 3 - 3)*(-u + 0*u - 2*u) - 3*u**3 - u**3 + 3*u**3 - 3200 - 33*u**3 + 3200. -46*u**3 Expand 298*v**3 + 307*v**3 - 609*v**3 + v**2 - 21*v**4 + (4*v**2 - 7*v**2 + 2*v**2)*(-3*v**2 - 2*v**2 + 3*v**2) + 2*v**4 + 8*v**4 - 3*v**4. -12*v**4 - 4*v**3 + v**2 Expand (y - 2*y - 2*y)*(6 - 3 + 4)*(2025 - 2025 - 147*y**2). 3087*y**3 Expand (-32*g + 7*g - 19*g + (-1 + g + 1)*(2 + 1 - 7) - 5 + 5 + g)*((-2 + 0 - 1)*(-1 - g + 1) + g - 4 + 4)*(0*g**2 + 4*g**2 - g**2). -564*g**4 Expand ((8 - 1 + 0)*(2 + 1 - 5) + 3 + 0 - 2)*(p - 16 - 44*p + 22). 559*p - 78 Expand (23*a**4 - 6*a**4 + 9*a**4)*(188 + 70 + 181 + 711). 29900*a**4 Expand ((0*i - i + 3*i)*(5 - 1 - 3) + 0 + 0 + i - 722 - 25*i + 722)*(i**2 + 3*i**2 + i**2) - 2*i**3 + 2*i - 2*i. -112*i**3 Expand (0*q + 5*q - 22*q + (-1 + 2*q + 1)*(-3 + 0 + 1))*(16*q - 8*q + 21*q + (0 - 6 + 3)*(3*q - 2*q + q) - 2*q + 0*q + 0*q). -441*q**2 Expand 25*f**3 - 2*f**3 + 15*f**3 + (21*f - 21*f - 3*f**3)*(-4 + 2 - 1). 47*f**3 Expand (-6*a - 133*a**2 + 260*a**2 - 133*a**2)*(-10*a**3 - 10*a**3 + 12*a**3). 48*a**5 + 48*a**4 Expand (-3*u + u + 0*u)*(u**4 - 3*u**4 + 0*u**4) + 2 - 2 - u**5 + 19*u**5 + 11*u**3 - 11*u**3 + (7*u**2 + 4*u**2 - 5*u**2)*(4*u**3 - 2*u**3 - 3*u**3). 16*u**5 Expand (-2 + 7 - 2)*(332*i**2 + 336634*i + 1519*i**2 - 336634*i). 5553*i**2 Expand -w**4 + 3*w**4 + 0*w**4 + (-3*w + 2*w - 2*w)*(-2*w**3 + w**3 + 0*w**3) - 731*w**2 + 730*w**2 - w**3 + 5*w**4 - 43*w**4. -33*w**4 - w**3 - w**2 Expand (0*u + 4*u - 3*u)*(-207729 + 1293*u + 207729). 1293*u**2 Expand (130*n**4 + 0 - 1 - 133*n**4 + 3*n**3 + 2*n)*(-15 - n + 15). 3*n**5 - 3*n**4 - 2*n**2 + n Expand -13*s**2 + 37*s**2 + 7*s**2 + (-1 + 5 - 3)*(-2*s - 3*s + 3*s)*(40 - 40 + 15*s). s**2 Expand (-423 - 861 + 1664 + (-4 + 0 + 2)*(-2 + 1 + 3))*(3*v - 7*v + 5*v)*(0 + 0 + 4*v)*((v + 5 - 5)*(-v + 0*v + 2*v) - 2*v**2 + 0*v**2 + 3*v**2). 3008*v**4 Expand (-14594*q**5 + 9*q**4 + q**3 + 14595*q**5 - 6*q**3)*(1 - 6 + 3) + (-39*q**3 - 39*q**3 + 0*q**3)*(0*q + 0*q - 2*q**2). 154*q**5 - 18*q**4 + 10*q**3 Expand 4 + j**5 - 4 + (-4 - j**4 + 4)*(54*j - 85*j + 51*j) + 29*j**5 + 96*j**4 - 96*j**4. 10*j**5 Expand (1 - 3 + 1)*(-4*m - 3*m - m)*(-714*m**2 + 149*m**4 + 714*m**2). 1192*m**5 Expand -5370 - 15663*t**4 + 5370 + 71532*t**4 + (-2*t**4 + 3*t**4 + 0*t**4)*(-5 - 1 + 5). 55868*t**4 Expand (3*m**2 - 2*m**2 + m**2)*(13*m + 93 - 10*m - 244). 6*m**3 - 302*m**2 Expand (-2*n - 13*n + 3*n)*(-3 + 4 + 4 + (0 + 2 + 0)*(-1 + 1 + 1) - 1 + 4 - 4 + 2 + 1 - 2 + 0 + 1 - 3 + 3 + 4 - 5 + 1 - 5 + 3 - 1 + 1 - 2 - 320 + 134 + 42). 1680*n Expand (d + 1 - 1)*(2*d**3 - 4*d**3 + d**3) + 47203*d**4 - 100238*d**4 + 50632*d**4. -2404*d**4 Expand (2*l - 2*l + 2*l)*(127 + 696*l - 127). 1392*l**2 Expand 3*x**3 - 2 + 2 + (9*x**2 - 4*x**2 + x**2)*(-21*x + 22*x + 66*x) - 2*x**3 + 4*x**3 + x**3. 408*x**3 Expand (-3*s + 3*s + s)*(-2*s**2 + 2*s**2 + 3*s**3)*(s - 2*s - s + (1 - 8 + 0)*(-s - 5*s + 5*s)). 15*s**5 Expand -5*r + 0*r + 4*r + (1 - 3 + 0)*(-2*r + 6*r - 3*r)*(-140 + 42 + 8). 179*r Expand (-406 - 387 + 242 - 236)*(0*p - 5*p + 3*p) + (0 + 1 + 3)*(-p + 0 + 0). 1570*p Expand 0*z - 2*z**3 + 0*z + (-3*z**3 + 2*z**3 + 0*z**3)*(-2 - 6
{ "pile_set_name": "DM Mathematics" }
What is the nearest to -403/6 in -0.5, 8, -0.2? -0.5 What is the closest to -0.06 in 0.03, 0.2, -5, 0.97? 0.03 What is the closest to -0.5 in 0.266, -0.4, 30/13, -0.3? -0.4 Which is the nearest to 2/9? (a) 0.213 (b) -1/22 (c) 5 a What is the closest to -431 in 1, -5, -0.3, -1/4? -5 Which is the closest to -2/3? (a) -2 (b) -0.2 (c) -1.1 (d) 2/311 c What is the closest to 2/7 in -0.2, 4, -3.1, 379? -0.2 Which is the nearest to 52? (a) 0.1 (b) -120 (c) 3 (d) 0.5 c What is the nearest to -0.1 in 1/22387, -5, -3/2, -1? 1/22387 What is the closest to 0 in 5, -2/11, 4, 0.2? -2/11 Which is the nearest to 0? (a) -5 (b) 22 (c) 0.03 (d) 2/7 (e) -1 c What is the nearest to -0.9 in 4, 0.5, -2/5, 0.1922? -2/5 What is the closest to -1 in 14, -3, 0.3, -1, -4? -1 Which is the nearest to 3? (a) 0.3 (b) 0 (c) -755 (d) 0.025 (e) 0.5 e Which is the closest to -1? (a) -7 (b) -2.92 (c) 0.5 (d) 2 c Which is the nearest to 4/11? (a) -0.1 (b) 5 (c) -1 (d) 2/7 (e) -4 d What is the closest to 0 in 34, 1, -3/5, 0.14? 0.14 What is the nearest to 0.1 in 0.4, 0.5, -3, 0.0801? 0.0801 What is the nearest to -22 in 8, -2/7, 3, -4? -4 What is the closest to 0 in -4, -33960, -0.3? -0.3 What is the closest to 4 in -548, 0, -0.2? 0 What is the nearest to 0 in 2/15, 5, -2.3? 2/15 Which is the nearest to -2/37? (a) 1/5 (b) -1/6 (c) 1/6 (d) -0.4 (e) -3 b What is the nearest to 30/19 in 0.1, -2, 622? 0.1 What is the closest to 132 in -3, 0.4, 1/4, 19? 19 What is the nearest to 2 in 2, 0.1, -2, -4/5, -271? 2 What is the closest to -1 in -2/7, -2, 27.1, 0.1, -0.3? -0.3 Which is the closest to -109/6? (a) 1/7 (b) -2/7 (c) 2 (d) 0 b What is the closest to 5 in -67/5, -0.15, 10? 10 Which is the closest to 0? (a) 4 (b) -425 (c) 0.4 (d) 1 c What is the closest to -1 in -46, -9946, -3/2? -3/2 Which is the nearest to -1/2? (a) -0.297 (b) -2 (c) 0.3 a What is the nearest to 1.4 in -4, -7, 0.11? 0.11 What is the nearest to 0.1 in -4, 60, -1/3, -6/7? -1/3 Which is the closest to 1.2? (a) 5 (b) -1/4 (c) -19.9 b Which is the nearest to 7? (a) 1 (b) -1 (c) 0 (d) 0.3 (e) -0.3 a What is the nearest to -3/5 in 50, -1/6, -4/3, 0.5? -1/6 What is the closest to -0.63 in -1/3, 1/6, -0.1, 0.1? -1/3 What is the closest to 0 in 2/21, 5, 2025, -1/4? 2/21 Which is the closest to 19.4? (a) -3/2 (b) -1/7 (c) -0.8 (d) -1 b What is the closest to -0.1 in -3, 1/4, -5, 11? 1/4 What is the nearest to 0.1 in 1/19, -4/9, -2, -509? 1/19 Which is the nearest to -2/29? (a) -2/7 (b) 1/4 (c) -394 (d) 0.2 (e) -2 a What is the nearest to -2/9 in 84, 2, -2/5? -2/5 What is the closest to 5357 in -0.4, 16/15, -3? 16/15 What is the nearest to -1 in -3/2, -479, 2/19? -3/2 What is the nearest to -1 in 3/4, 5, 47, 17? 3/4 What is the nearest to 0 in 2, -1/7, -4, 0? 0 What is the nearest to 0.1 in 43, 0, 13, 7/3? 0 What is the closest to 1 in -4, 3/5, -45.8, 0? 3/5 What is the closest to -0.3 in -2.17, 3, -4/33, 5? -4/33 What is the nearest to 52/103 in 2/5, -0.1, -0.2? 2/5 What is the closest to -0.2 in -1, 16222, 3/2? -1 What is the nearest to 1/9 in -23, -5, -2/11, 2? -2/11 What is the closest to 0.1 in -0.1, -11, 3238? -0.1 Which is the nearest to 0? (a) 2/9 (b) 78 (c) -11 (d) -1 (e) -0.2 e What is the nearest to 5177 in 0.5, -1/4, -3? 0.5 Which is the closest to -0.3313? (a) -8 (b) 12 (c) 0.5 c What is the nearest to 0.2 in 0.2, 5, 0.07, 0.5, -67? 0.2 Which is the closest to -1? (a) -18083 (b) 0.1 (c) 0.5 b Which is the nearest to -3/46? (a) -0.4 (b) 12 (c) 190 a What is the nearest to -1/167 in -17, -1, 0.5? 0.5 Which is the closest to -8? (a) -17 (b) 40 (c) 1/9 c What is the closest to -2 in -1/3, 49, 28? -1/3 What is the closest to 0 in -1093.4, 2, -0.1? -0.1 Which is the closest to 1? (a) -5 (b) 1/2 (c) -19 (d) -14 b What is the nearest to 0 in -2/13, 3.1, 1814? -2/13 Which is the nearest to 2.796? (a) -1/5 (b) 0.4 (c) -1 b Which is the nearest to 8.8? (a) -11/3 (b) 1/8 (c) 4/7 (d) -5/4 (e) 1/2 c What is the nearest to -1 in 0.05, 1, 1531? 0.05 What is the nearest to 0 in -0.1, -4, 3, -4684? -0.1 What is the nearest to 2/3 in 11, -87, -0.5, 19/2? -0.5 Which is the closest to -57/17? (a) 2/9 (b) -83 (c) -4 (d) 0.5 (e) 1/4 c What is the nearest to -103 in -3, -30, -6, 3/2? -30 What is the nearest to 60 in -9/4, -1/9, -1, 2? 2 Which is the closest to -1/2? (a) 17 (b) -6 (c) 0.148 (d) -2/9 d What is the nearest to -0.02 in -689, 0.4, 2/3, 6? 0.4 Which is the closest to 0.05? (a) -1 (b) 17 (c) -3/179 c Which is the nearest to 1694? (a) 14 (b) -4 (c) -2/9 a Which is the closest to 2? (a) -0.13 (b) 57/10 (c) 2 (d) 1 (e) -1/7 c What is the closest to 0 in -1, -3/5, -3/47, -1/11? -3/47 Which is the closest to 1? (a) 19 (b) -8/13 (c) 3/7 c What is the closest to 0.1 in 7, -3, 13/3, 5? -3 What is the nearest to -8 in 1/2, -0.4, -0.13, 1? -0.4 What is the closest to 31/3 in -2/5, -0.5, -4039? -2/5 Which is the nearest to 0.1? (a) 2 (b) -4477 (c) -1/3 c Which is the closest to 0? (a) 17 (b) -2/9 (c) -1/3 (d) -6/29 (e) 3 d Which is the nearest to 0? (a) -3 (b) 648 (c) 5 (d) -2 (e) -0.8 e What is the closest to -38 in -3, 17, 2/27? -3 Which is the closest to -1? (a) -0.02 (b) 2/9 (c) 13/4 a What is the closest to -1 in 0.119, 4, -2, -0.2? -0.2 Which is the closest to -62.65? (a) 1/4 (b) -5 (c) 5 b Which is the closest to -0.1? (a) 2/11 (b) -0.3 (c) 3 (d) 17.04 (e) 1/2 b What is the nearest to -2 in -3/2, -2, 1/5620? -2 What is the nearest to -2 in 2, -4, -1/2, -60, -13? -1/2 What is the closest to -2 in 13.3, 4/5, 3, -0.01? -0.01 Which is the closest to 0.1? (a) -1 (b) -2 (c) -0.02356 c Which is the closest to 0.1? (a) -1 (b) -1/8 (c) 6.163 (d) 5 (e) -2 b Which is the nearest to -57? (a) 0 (b) 2/17 (c) -242 a Which is the nearest to -0.08? (a) 5 (b) 14/3 (c) -194 b What is the closest to -2/3 in -0.2, -2/3, -9/20, 1? -2/3 Which is the closest to -17/3? (a) -2 (b) 18 (c) 10 a What is the closest to 0 in -4/11, 0.1174, -5? 0.1174 What is the nearest to 0.6 in 9, 3, 26/15, -0.1? -0.1 What is the nearest to -0.1 in 3, -0.4, -17069? -0.4 What is the closest to -0.1 in 1/4, -5, -2, -3/4, -1? 1/4 Which is the closest to 91/2? (a) 0.4 (b) -2/29 (c) 3/7 c What is the closest to 6 in 2, -0.1, -0.2, 1.5? 2 What is the nearest to 2/67 in 1/119, -0.2, -0.02? 1/119 What is the nearest to 2/53 in 1/3, 0.5, 9, 1/19? 1/19 Which is the nearest to 9/2? (a) -0.3 (b) -1/3 (c) -4 a Which is the nearest to 0.036? (a) 11/2 (b) 5 (c) -0.2 (d) 4/3 c Which is the nearest to 0.1? (a) -1 (b) 2 (c) -5/8 (d) 432 c What is the closest to -20.8 in 1/4, 4, -7/38, -5, 0.5? -5 Which is the closest to -0.1? (a) -4 (b) 8950 (c) 5 (d) -3 (e) -1 e Which is the closest to 18? (a) -0.2 (b) -2 (c) 12/7 (d) 1/8 c Which is the closest to 0.1? (a) 23357 (b) 2/9 (c) -5 (d) -1/5 b What is the nearest to 0.2 in -0.054, -4, 1/374? 1/374 What is the closest to -733 in -1/2, 2, 1/6? -1/2 What is the nearest to 6/7 in -3/2, 0.1, -7, 1/7, 39? 1/7 What is the closest to -90 in 0, -2, -4/5, -5? -5 What is the closest to 0.1 in 14, -2/51, -0.4? -2/51 Which is the nearest to -5? (a) 3/152 (b) -1 (c) -3 (d) 8 c What is the nearest to 54 in -12, 5, -0.9? 5 What is the nearest to 0 in 1.1, -4, -13.8? 1.1 What is the nearest to 2/9 in -2, 117, -1? -1 Which is the closest to -5957? (a) 1 (b) 0.5 (c) 3 (d) -0.4 d Which is the closest to -85? (a) 1/3 (b) 14/9 (c) -4 (d) 6 c Which is the closest to -10? (a) -2/167 (b) -3 (c) -4 (d) -133 c What is the nearest to -1/13 in 0.1, -4, 0.5, -2/9? -2/9 Which is the closest to -0.1? (a) -1.6 (b) 4 (c) -1 (d) 49/6 c Which is the nearest to 16? (a) -0.9 (b) -6 (c) 5 (d) 4 (e) 1/5 c Which is the nearest to 0.2? (a) 3 (b) 0.0396 (c) 1 (d) 0 b Which is the closest to 3? (a) 3 (b) -3/5 (c) -2/5 (d) -6 a What is the nearest to -22.74 in -0.4, 0.1, 0.6, 3/8? -0.4 Which is the closest to 1? (a) 0.15 (b) 2 (c) -0.5 (d) -4 (e) 5 a What is the closest to 0.1 in 0, -1/3, -2/247, -6/5? 0 Which is the nearest to -0.0545? (a) 0.4 (b) -0.22 (c) -2 (d) 3/2 b Which is the closest to 0? (a) -2585 (b) 6.5 (c) 0 c What is the closest to 15 in 198, 3, 2/9? 3
{ "pile_set_name": "DM Mathematics" }
at is the remainder when 64 is divided by d(-2)? 9 Suppose 10 = 5*w - 5. Suppose -8 = -x - w*x. Suppose -4*l + 31 = z + l, -x*z - 2*l = -38. Calculate the remainder when 31 is divided by z. 15 Let h(w) = -4*w + 4. Calculate the remainder when h(-7) is divided by 9. 5 Let v be 2/(2 + -4)*-1. Suppose -4*h + v + 31 = 0. Calculate the remainder when h/(-3)*(-6)/4 is divided by 3. 1 Suppose -291 = 21*d - 24*d. Calculate the remainder when d is divided by 11. 9 Let a(h) = h**3 - 3*h**2 + 3. Let l be a(3). Suppose 6*j - 4*j + l*u = 64, 5*u - 60 = -2*j. Calculate the remainder when j is divided by 12. 11 Suppose 12*u - 11*u + 1 = 0. Let s(j) be the second derivative of 7*j**4/12 + j**3/6 + j**2/2 + j. Calculate the remainder when 19 is divided by s(u). 5 Suppose 362 + 382 = 12*y. What is the remainder when y is divided by 22? 18 Let r(u) = u + 2. Let t(z) = z**2 + z. Let f be t(-3). What is the remainder when 301/13 + 4/(-26) is divided by r(f)? 7 Suppose t - 4*t + 36 = 0. Calculate the remainder when 47 is divided by t. 11 Suppose -4*q = -2*c - 58, 2*q + 5*c + 17 = 4*q. What is the remainder when q is divided by 5? 1 Let p = 110 + -62. Let x = p - 32. What is the remainder when x is divided by 9? 7 Suppose 0 = 4*j + 4*g + 6 - 74, -3*g = -3*j + 45. Suppose -4*l = j - 4. Calculate the remainder when 35 is divided by 1*14 + (-5 - l). 11 Suppose -4*q = -2*q - 50. Let h(p) = -p + 5. Let y be h(0). Suppose 5*f = -q, y*n + f = 5*f + 175. What is the remainder when n is divided by 8? 7 Suppose 0 = 2*t - s - 6, 11 = 5*t - 2*t - s. Suppose 4*l - l = -q, t = 2*l - q. What is the remainder when l is divided by 1? 0 Suppose 0 = d + 2*d - 219. Suppose -f - 16 = -31. Calculate the remainder when d is divided by f. 13 Let o(q) = q**2 - 5*q - 9. What is the remainder when (12/(-18))/(2/(-27)) is divided by o(7)? 4 Suppose 3*x + 0*w = -4*w - 14, -3*w = -3*x. Calculate the remainder when 33 is divided by (-186)/(-21) - x/14. 6 Suppose -3 = 3*l + 3, 10 = 2*b - 5*l. Suppose -y = -3 - b. Calculate the remainder when 11 is divided by (y - (1 - -9))*-1. 4 Suppose 5*l = 5*d - d + 200, l + d = 40. What is the remainder when l is divided by 21? 19 Let v be -7 + 4 + 4 + -1. Let a(g) = -g**3 + 20. Calculate the remainder when a(v) is divided by 7. 6 Let s(m) = -m**3 - m**2 - 3*m - 1. Suppose 0 = 3*z + 4 + 5. Let d(c) = -2*c**3 - 2*c**2 - 1. Calculate the remainder when s(z) is divided by d(-2). 5 Let f = -65 - -18. Let i = 218 - 132. Let l = f + i. Calculate the remainder when l is divided by 10. 9 Let p(i) = 10*i**3 + i**2 - i. Let a be p(1). Suppose a = 3*l - 17. Calculate the remainder when 35 is divided by l. 8 Suppose -135 = -5*f + 3*z, -z - 4*z = -2*f + 35. Calculate the remainder when f is divided by 8. 6 Suppose 0 = -0*s - 2*s - 2. Let i be 1 - (2*-1 + 9). Calculate the remainder when 2 is divided by (3/i)/(s/4). 0 Let m = 1 - -4. Let k = m + -2. What is the remainder when 4 is divided by k? 1 Suppose 2*k - 4*k = 2*v - 76, 5*k - 175 = -2*v. What is the remainder when k is divided by 17? 16 What is the remainder when 75 is divided by ((-7)/(-2))/((-2)/(-4)) - 1? 3 Let d be 84 + 2 + (-1)/1. Suppose -4*a + d = a. Calculate the remainder when 50 is divided by a. 16 Suppose -3*h = 11 - 29. What is the remainder when 9 is divided by h? 3 Let u be (39/(-12))/(1/(-28)). Suppose 2*k - u = -21. Calculate the remainder when (2 - k)*12/(-9) is divided by 15. 14 Let x = 66 + -30. Suppose 0*t = -3*t - h - 62, -t = -5*h + 10. Let z = 33 + t. What is the remainder when x is divided by z? 10 Let d = -121 + 170. Suppose 3*h = 4*l + 142, -2*h - 46 - 86 = 4*l. Calculate the remainder when d is divided by l/(2*(0 + -1)). 15 Suppose 5*i = t + 38 + 26, 0 = 3*i - 4*t - 52. Calculate the remainder when 20 is divided by i. 8 Suppose -r - 2 = -3*t + 9, -5*t + 2*r = -19. Let d be (5/t + -2)*0. Suppose -a + 2 = -d. Calculate the remainder when 4 is divided by a. 0 Suppose 4*f = 2*h + 8, -f + 2*f + 3 = 3*h. Suppose l = -h*l + 48. What is the remainder when l is divided by 5 - (-2 - (-3)/3)? 4 Suppose -5*b + 2*u + 98 = 0, -3*u - 28 = -b + 2. Let g(l) = -10*l**2 - 8*l + 3*l**2 - 6 - 1 - l**3. Calculate the remainder when b is divided by g(-6). 3 Calculate the remainder when 27 is divided by (-8)/6*63/(-6). 13 Suppose l = 23 - 10. What is the remainder when 25 is divided by l? 12 Suppose 12*h - h = 979. Calculate the remainder when h is divided by 4. 1 Let v(h) = -h**2 - 4*h + 38. Calculate the remainder when 111 is divided by v(0). 35 Suppose -562 - 5 = -7*q. Calculate the remainder when q is divided by 28. 25 Suppose 47 = p - j, 5*p - j - 3 - 212 = 0. Suppose 3*r + 3*u = 7*u + 29, r - 3*u = 8. Calculate the remainder when p is divided by r. 9 Suppose -n + 11 = 3*w - 9, 8 = 3*n - 4*w. Let b = 83 + -52. What is the remainder when b is divided by n? 7 Suppose 0 = 4*c + 4*v - 416, -2*v - 9 = -1. Calculate the remainder when c is divided by 28. 24 Let j(h) = h**3 + 3*h**2 - 2*h + 2. Suppose 4*n = -3*f + 17, 4*n + 2*f + 7 = 7*f. What is the remainder when 34 is divided by j(n)? 16 Suppose 9 = 3*l - 3*n, -4*n - 10 = -3*l - 0. Suppose -l*f + 87 = 5*k, 0 = -4*k + k - 3*f + 54. Calculate the remainder when k is divided by 9. 8 Let n(w) = 1 + 0 - 6 - 5*w. Let r be n(-4). Suppose -5*p + 19 = 4*l, -r = -0*p - p + 2*l. What is the remainder when 20 is divided by p? 6 Let u = 13 - 8. Suppose -11 - 4 = -u*d. Calculate the remainder when (-3 + 1)*-2*2 is divided by d. 2 Suppose x + 20 = -2*x - 4*h, -3*x = 3*h + 18. Suppose 2*z - 3*z = -6. What is the remainder when z is divided by x*(-6)/8 - -1? 2 Suppose 2 = -x, -3*u = -2*x + x + 496. Let p = -69 - u. Let z = p + -35. What is the remainder when z is divided by 21? 20 Suppose 0 = 5*f - 2 - 13. What is the remainder when f is divided by 1? 0 Let c(z) = -3*z - 2. Let p = -6 + 6. Suppose -2*h = 2*m + 4, -m + p*m - 4 = 0. Calculate the remainder when c(-2) is divided by h. 0 Suppose 14 = 4*h + 5*v, -15 = -5*h - 0*h - 5*v. Suppose 0 = 6*p - 3*p - 42. Let g = p - 13. Calculate the remainder when h is divided by g. 0 Let y be (4 + -1)*(-12)/9. Let x be y/(-3)*6/4. Suppose -2*k = x*k - 16. Calculate the remainder when k is divided by 2. 0 Let g = -90 + 52. Let b = g - -56. Let r = -49 + 83. What is the remainder when r is divided by b? 16 Let z be (26/(-39))/((-4)/6). What is the remainder when 22 is divided by z + (3 - -1) + 3? 6 Let r = -14 - -37. What is the remainder when 112 is divided by r? 20 Let z(w) = -6*w + 59. Calculate the remainder when z(8) is divided by 3. 2 Suppose -6*s = -7*s + 88. Suppose 0 = -6*d + 4*d + s. What is the remainder when d is divided by 23? 21 Suppose -2*u - 3*g + 28 = -u, -3*g = 3. What is the remainder when u is divided by 11? 9 Let y(m) be the second derivative of -m**5/20 + 2*m**4/3 + 11*m**3/6 - 11*m**2/2 + 3*m. Calculate the remainder when 20 is divided by y(9). 6 Let u = 28 - 5. Calculate the remainder when 91 is divided by u. 22 Suppose 12 = 3*x - 12. Let b = -289 - -291. Calculate the remainder when x is divided by b. 0 Suppose 3*g - 18 = 2*g. Suppose -199 = -5*j + 2*m - 32, 4*m + 54 = 2*j. What is the remainder when j is divided by g? 17 Let a = 0 + 6. Suppose -d = -5, 3*p + 5 = a*p - 5*d. Calculate the remainder when 28 is divided by p. 8 Let x = 10 + 17. Let s = x - 15. Suppose 0 = 8*j - 3*j - 225. Calculate the remainder when j is divided by s. 9 Suppose 3*o = 2*s - 231, 2*o + 2*o = 2*s - 232. Calculate the remainder when s is divided by 29. 27 Suppose -r + 99 = -5*b, 105 = -5*b - 4*r - r. Let u = -6 - b. Calculate the remainder when 26 is divided by u. 12 Suppose 2*c - 78 = 14. Let r = 35 + -19. What is the remainder when c is divided by r? 14 Let q(a) = 3*a + 14. Let k be q(10). Let d = -31 + k. Calculate the remainder when d is divided by 8. 5 Let b = 45 - 26. What is the remainder when b is divided by 11? 8 Let x(w) = -11*w + 4. Let t be 15/3 - 3 - -1. Calculate the remainder when x(-3) is divided by 24 + 1 + -3 - t. 18 Let i = 11 + -8. Suppose 0 = 3*f + 5*x - 47, i*x - 73 = -5*f - 0*x. What is the remainder when 40 is divided by f? 12 Let b(g) = 2*g**2 - 3*g - 4. Let t be b(3). Calculate the remainder when 1*(3 - t) + 30 is divided by (-68)/(-7) + 6/21. 8 Suppose 0 = 4*k - 1 - 299. Suppose -4*y + k = -y. Calculate the rem
{ "pile_set_name": "DM Mathematics" }
prime number? True Let z(u) = -4*u - 1. Let v(s) = 1194*s + 86. Let n(w) = -v(w) - 12*z(w). Is n(-8) a prime number? False Suppose 0*u = 2*u - 4*w - 30982, 4*u - 62004 = -2*w. Is u a composite number? True Let s(k) = -31*k**3 - k**2 + 6*k + 6. Let o be s(-5). Suppose -29*p + o = -30*p. Let d = -1493 - p. Is d composite? False Let a(g) = -g**3 - 17*g**2 - 16*g + 17. Let w be a(-16). Let m be ((-34)/w)/((-1 - 3)/2). Is 2*(-42)/(-48)*28/m a composite number? True Let p(u) be the first derivative of u**3/3 - 5*u**2/2 + 39*u + 48. Is p(13) composite? True Is (26/4)/(-13)*(3 + -14965) prime? True Let u be 46/6 + (-6)/(-18). Suppose 0 = -u*n + 68 + 900. Is n composite? True Suppose 10*p + 20*p = 60. Suppose -4*i - p*q - 8041 = -34955, -2*i = 5*q - 13437. Is i a prime number? False Suppose 12*p = 42 + 18. Suppose 5*y - 4*w = -4668, -3*y - 1238 = -p*w + 1568. Let q = 1473 + y. Is q a composite number? False Let t = -74432 + 133573. Is t prime? True Let j = 114 + -67. Suppose j*o = 46*o + 5. Suppose -o*k + 34 = -1311. Is k prime? True Suppose -50568351 = -77*u + 18534760. Is u a composite number? False Let b = 188 + -185. Suppose 3*t - 2214 - 20463 = -b*i, 37813 = 5*i - 4*t. Is i a composite number? False Suppose -4 = h - 5*m, -h + 6*h + 2*m = 34. Let y(r) = -9*r - h*r - 3*r**2 + 11*r**2 + 8*r**2 - 31 + r**3. Is y(-14) a composite number? False Let d(u) = 100*u**2 - 2*u - 3. Let b(y) = -2 - 2*y - 2 + 3 + 101*y**2 - 3. Let v(k) = -5*b(k) + 6*d(k). Is v(1) prime? False Let x be (-25)/(-175) + 36/(-7). Let o(q) = -8429*q - 102. Is o(x) a prime number? True Suppose 51247 = 3*i + 4*h, -11*h + 68320 = 4*i - 8*h. Is i composite? False Let w = 339 + -359. Let z(l) = -l**3 - 16*l**2 + 49*l + 53. Is z(w) a prime number? True Suppose r - 2*x - 2161625 = 0, -4*r + 48*x - 51*x = -8646434. Is r a prime number? True Let f = 31032 - 4979. Is f prime? True Let q = -825 - -1856. Let k be ((-288)/56)/((-2)/553). Let c = k + q. Is c a composite number? True Let t be (-24)/(-56) - (-6)/(-42)*-4. Suppose -5*c - 192 = -2*c. Is (-16)/c - ((-3079)/4 + t) a prime number? True Suppose -3*z - 3*u + 16 = -4*u, 0 = -3*z - 3*u + 24. Suppose c - 17 = -3*l, 2*c + z = 5*l - 3*l. Suppose -c*n = n - 4011. Is n prime? False Suppose -5*w + 65 = 5*n, 0*n + 2*w = -4*n + 52. Is 400911/33 - n/(572/(-8)) prime? True Let i = -20 - -25. Let s = i - 437. Let t = -217 - s. Is t prime? False Let d(q) = -3 - 4 + 2 - 2 - 2*q. Let l be d(-5). Suppose -97 = -4*b + l*b. Is b a composite number? False Suppose -5*p + r = -937286, 58*p - 749829 = 54*p + r. Is p a prime number? False Suppose 0 = -4*h + 20, -20*o + 5*h = -23*o + 72868. Is o a composite number? False Let f be (-2)/(-3)*3/(-1). Let o be (520/50)/(f/20). Let w = 107 - o. Is w a prime number? True Let z = 1 + -43. Let p = z - -26. Let j(f) = -f**3 - 9*f**2 + 6*f - 3. Is j(p) a prime number? True Let h be (((-3)/(-6))/1)/(-1)*-4394. Let y = h - 1514. Is y prime? True Let d(v) = -18919*v**3 + 8*v**2 - 24*v - 47. Is d(-4) a prime number? False Suppose -5*q = 5*p - 412890, -8*p - 15 = -5*p. Is q composite? True Suppose 0 = -g - 474 + 1486. Suppose -1682 = 5*n - 4*o, -2*n + g = -5*n + o. Let k = -17 - n. Is k composite? True Suppose 23 = 3*u - 2*w, -12 = -7*w + 10*w. Suppose 3*y - u*g = 5939, -4*y - 5*g + 3*g = -7884. Is y a composite number? False Let h = -45412 + 224339. Is h prime? False Is (0 + -139079)*((6 - -4)/(-2) - -2) a prime number? False Let g(v) = -202*v**3 + 5*v**2 - 88*v + 7. Is g(-12) a prime number? False Suppose -9*g + 76344 = -465447. Is g prime? False Suppose -7579284 = -1112*t + 422*t + 265326. Is t a prime number? True Suppose 10648*p = 10673*p - 1830925. Is p composite? False Is ((-12)/(-8))/((-26117646)/(-1374612) - 19) a prime number? False Suppose -4*f - 265164 = -4*u + 453328, -4*f = -u + 179641. Is u composite? True Let l be ((-8)/(-36))/(3/18)*6. Let d be 4 + 1 - (-5 + 16). Is -1 + (-5708)/(-16) + d/l a composite number? True Let j = -19 - -19. Suppose -3*g + 9 = j, -4*c + 3*g = g - 11354. Suppose -5*h = -c - 365. Is h a prime number? True Suppose 2*q = -q - 27. Let j be (30/q)/((-8)/12). Suppose -5*p - j*h + 50 = 0, -p + 17 = 2*h + 7. Is p prime? False Let p(b) = b**2 - 4*b + 3. Let z be p(3). Suppose 4*a - 1720 = 3*w, 88 = -3*a - w + 1391. Suppose a + 18 = k + 4*t, 3*t = z. Is k a composite number? True Let y(d) be the third derivative of 1487*d**4/24 - 23*d**3/6 - 5*d**2 + 3. Is y(6) composite? True Suppose -37*q = -41*q + 84. Suppose 184124 + 60673 = q*c. Is c a composite number? False Let f(a) = -70*a**2 - 5*a - 12. Let w be f(7). Let h = -580 - w. Is h prime? True Suppose 9*m + 595 = 14*m. Suppose 8*g = g - m. Let h = g - -70. Is h composite? False Let j = 1096444 - 62655. Is j composite? False Let u = 439 + 593. Suppose -6*j = -3*j - 1077. Let k = u - j. Is k a composite number? False Suppose 377*n - 376*n + 5*i - 111736 = 0, i = -5. Is n composite? True Is (4334934/(-6))/(50/(-50)) composite? False Let m = 4980 - 3299. Suppose -t - 4*h = -5151, -17127 + m = -3*t - 5*h. Is t a prime number? True Let s be (-2)/(5 - 3)*(12 + -2). Is 14 - 426/30 - 11992/s composite? True Let c be 3/((-105)/(-28))*15415. Is (-5)/165*-11*(1 + c) a prime number? True Let l(v) = 68*v - 2*v**3 + 18 - 19*v**2 - 17*v**2 - 21*v - 16*v. Is l(-25) a composite number? False Let g(n) = 8*n**2 + 8*n + 29. Let m = 120 + -127. Let c be g(m). Suppose -w + 1172 = -c. Is w composite? True Suppose 157660 = -32*s + 1181276. Suppose p + 13705 + 18273 = 3*x, -3*x + s = p. Is x a composite number? True Let a = 44091 + -31262. Is a a composite number? False Suppose -5*w + 13*w - 3048 = 0. Is w/6*(-3)/(18/(-348)) composite? True Suppose 3*r = -20*r + 667. Let t(v) = v**3 - 28*v**2 + 45*v + 187. Is t(r) composite? False Suppose -3*p + 325*u = 328*u - 408780, -p = -u - 136262. Is p a prime number? True Let x(u) = -102*u + 67. Let g(j) = 51*j - 34. Let w(h) = -11*g(h) - 6*x(h). Let f(q) = -205*q + 111. Let z(y) = -2*f(y) - 9*w(y). Is z(-4) a prime number? False Let n(q) = 15*q**2 + 4*q**2 - 15 + q**2. Let r be n(-18). Suppose -22*b - r = -27*b. Is b prime? False Let f(b) = 2761*b - 139. Is f(22) a prime number? False Suppose 0 = -29*j + 18*j - 24981. Let c = j - -3352. Is c prime? False Let b be (4/(-1))/(-4 + 1 - -2). Let k be (3 - 0) + -5 + b. Is -1 + (6196/k - 4) a composite number? True Suppose 130 = -202*y + 212*y. Suppose 12*j + 3559 = y*j. Is j a prime number? True Let p(s) = 95*s - 11. Let v(q) = -92*q + 11. Let i(y) = -6*p(y) - 7*v(y). Let a(m) = m**3 - 8*m**2 - 9*m + 5. Let f be a(9). Is i(f) a composite number? False Let a(k) = 86*k + 27. Suppose -6*t + 318 = 276. Is a(t) prime? False Suppose 4*q - 6219 = 5*q. Let s = q - -8924. Is s composite? True Suppose -14*d + 589133 = 5*d. Is d prime? False Suppose 0 = -25*z + 26*z - 30. Suppose 11*g = 17*g + z. Is 118/4*(-8)/(g - -1) prime? True Let z(f) be the first derivative of -f**4 + 2*f**3/3 - 3*f**2/2 + 8*f - 64. Is z(-3) a composite number? True Let l(f) = 7 - 2 - 2*f - 6*f**3 + 8*f**2 - 1 + 5*f**2. Is l(-9) composite? False Let s be (-2)/20*4 - 135972/(-30). Suppose -c - 2*v - 3*v = -s, -15 = 5*v. Is c composite? False Suppose 4*y - 46 + 58 = 0. Is (30/(-20))/(y/4348) a composite number? True Let b = -16007 + 66825. Is b a composite number? True Let j be (-2 - -6)*(2 - 135/6). Let p = j + 229. Suppose i - 144 = p. Is i a composite number? True Let o(t) = 2*t**2 + 7*t - 5. Let b = 106 - 121. Let k be o(b). Suppose 2*q + k = 2018. Is q a prime number? True Suppose 1 = 15*o - 59. Suppose -10328 = -o*s + 4*y, 0*s + 5*y = -2*s + 5157. Is s a prime number? False Suppose -3*w + 12989 = 2*q - 22094, -4*w = -12. Suppose q = 60*h - 41*h. Is h composite? True Is (-15)/2 + (-126)/(-84) - 1*-315839 composite? True Let j be 1/2 - 16709/2. Let u = j - -15462. Suppose -72*f + u = -68*f. Is f prime? True Suppose z + 2054 = 5*q - 14236, -4*z = 0. Let i = q + 1229. Is i a composite number? True Let x(u) be the second derivative of -505*u**3/6 + 41*u**2/2 - 2*u + 64. Is x(-6) composite? True Let c be 2/(-2 + 3 + -2). Let z(g) = 77*g - 214*g + 113*g**2 - 14 + 71*g + 62*g. Is z(c) prime? False Let a(p) = -7*p - 23. Let g be a(7). Is 15084/g*2/(-1) a prime number? True Suppose 0 = 3*s + 5*i - 10264, -i + 0 - 4 = 0. Let a
{ "pile_set_name": "DM Mathematics" }
ctor of 1927? False Is 5355 a multiple of 9? True Does 11 divide 202? False Is 612 a multiple of 10? False Is 4 a factor of 5912? True Is 7 a factor of 557? False Does 51 divide 4712? False Is 725 a multiple of 29? True Does 22 divide 792? True Does 13 divide 26983? False Is 32850 a multiple of 10? True Does 13 divide 118368? False Does 32 divide 1376? True Does 70 divide 560? True Is 104 a factor of 60112? True Does 55 divide 6655? True Is 295 a multiple of 10? False Is 56 a factor of 6608? True Is 20 a factor of 440? True Is 5311 a multiple of 22? False Is 9 a factor of 15039? True Is 28194 a multiple of 381? True Is 40 a factor of 23040? True Does 108 divide 10260? True Does 10 divide 223? False Does 9 divide 1729? False Is 3204 a multiple of 12? True Is 40 a factor of 3166? False Is 5973 a multiple of 11? True Does 41 divide 11819? False Is 24 a factor of 22858? False Is 34 a factor of 44846? True Is 51 a factor of 2958? True Is 2130 a multiple of 40? False Is 500 a multiple of 20? True Does 5 divide 6760? True Is 464 a multiple of 29? True Is 1888 a multiple of 16? True Is 7156 a multiple of 12? False Does 26 divide 15132? True Does 5 divide 230? True Is 25 a multiple of 16? False Is 46 a factor of 2149? False Does 3 divide 649? False Is 179 a factor of 34547? True Does 136 divide 52782? False Does 3 divide 91? False Does 15 divide 816? False Is 6135 a multiple of 15? True Is 12225 a multiple of 27? False Is 1897 a multiple of 32? False Is 5 a factor of 16250? True Is 19877 a multiple of 139? True Is 20 a factor of 1605? False Is 6072 a multiple of 11? True Is 14 a factor of 1680? True Is 20160 a multiple of 224? True Is 15264 a multiple of 96? True Is 8320 a multiple of 32? True Does 152 divide 51224? True Is 26 a factor of 12002? False Is 11 a factor of 42548? True Does 222 divide 26196? True Is 6150 a multiple of 111? False Is 668 a multiple of 76? False Is 4 a factor of 1748? True Is 504 a multiple of 12? True Is 3 a factor of 971? False Is 21 a factor of 690? False Is 139 a multiple of 2? False Is 25 a factor of 650? True Does 10 divide 19684? False Is 61 a factor of 3355? True Is 53 a factor of 583? True Is 3536 a multiple of 4? True Is 31360 a multiple of 56? True Is 5 a factor of 2145? True Is 6 a factor of 1542? True Is 2 a factor of 132? True Is 2591 a multiple of 21? False Is 61 a multiple of 14? False Does 6 divide 1398? True Is 73 a factor of 2201? False Is 26677 a multiple of 37? True Is 1088 a multiple of 32? True Is 1882 a multiple of 12? False Does 15 divide 335? False Is 8 even? True Is 48 a factor of 14295? False Is 5502 a multiple of 21? True Does 44 divide 1502? False Is 2519 a multiple of 51? False Does 28 divide 1736? True Is 102 a factor of 315? False Is 28976 a multiple of 138? False Does 3 divide 513? True Does 40 divide 11061? False Is 1710 a multiple of 38? True Is 8775 a multiple of 55? False Does 12 divide 16932? True Does 19 divide 15523? True Does 2 divide 36? True Is 4190 a multiple of 83? False Is 2919 a multiple of 62? False Is 39 a factor of 139? False Does 2 divide 317? False Is 2 a factor of 1118? True Is 13 a factor of 26? True Does 26 divide 95881? False Is 244 a factor of 26885? False Is 3509 a multiple of 121? True Does 10 divide 129? False Is 864 a multiple of 36? True Does 17 divide 238? True Is 32520 a multiple of 20? True Is 12232 a multiple of 8? True Does 73 divide 4572? False Is 43880 a multiple of 10? True Does 210 divide 2310? True Does 81 divide 4598? False Is 918 a multiple of 18? True Is 272 a multiple of 13? False Does 29 divide 2216? False Does 10 divide 1410? True Is 52 a factor of 128? False Is 249 a multiple of 4? False Does 35 divide 2095? False Is 436 a multiple of 4? True Is 962 a multiple of 13? True Is 20 a factor of 4130? False Is 76 a factor of 6395? False Is 2723 a multiple of 95? False Is 928 a multiple of 17? False Is 75 a factor of 3675? True Is 39095 a multiple of 7? True Does 6 divide 1566? True Does 138 divide 5244? True Does 60 divide 2640? True Does 21 divide 90? False Does 16 divide 608? True Is 18096 a multiple of 87? True Does 48 divide 89376? True Does 28 divide 1596? True Is 14 a factor of 619? False Does 24 divide 9048? True Is 7933 a multiple of 39? False Is 1153 a multiple of 5? False Is 115 even? False Is 11 a factor of 556? False Is 40204 a multiple of 40? False Is 43 a factor of 9854? False Is 18 a factor of 9450? True Does 6 divide 18193? False Does 4 divide 1624? True Is 2187 a multiple of 27? True Is 47 a factor of 32163? False Is 13 a factor of 1963? True Does 12 divide 9108? True Is 128 a factor of 4687? False Is 290 a multiple of 10? True Is 1777 a multiple of 33? False Does 21 divide 363? False Is 520 a multiple of 32? False Does 17 divide 911? False Does 23 divide 1679? True Is 13 a factor of 910? True Is 846 a multiple of 18? True Does 11 divide 1683? True Is 123 a factor of 20999? False Does 44 divide 4627? False Does 19 divide 191484? False Is 2185 a multiple of 95? True Does 16 divide 5104? True Is 14 a factor of 97? False Does 9 divide 2986? False Is 2 a factor of 138? True Is 17154 a multiple of 31? False Is 24311 a multiple of 151? True Does 9 divide 131? False Is 454 a multiple of 16? False Does 29 divide 957? True Does 14 divide 222? False Is 2201 a multiple of 71? True Is 76 a factor of 1368? True Is 1055 a multiple of 16? False Is 39 a factor of 13027? False Is 3374 a multiple of 7? True Is 6223 a multiple of 36? False Does 59 divide 25748? False Is 59024 a multiple of 272? True Is 12851 a multiple of 67? False Is 7 a factor of 1365? True Does 5 divide 2365? True Is 1498 a multiple of 40? False Is 280 a multiple of 5? True Is 84613 a multiple of 191? True Is 62 a factor of 744? True Is 4446 a multiple of 38? True Is 8 a factor of 38176? True Does 17 divide 136? True Is 8 a factor of 560? True Is 90 a multiple of 30? True Is 8 a factor of 348? False Does 14 divide 52122? True Is 2705 a multiple of 5? True Does 13 divide 20961? False Is 2 a factor of 13775? False Is 5126 a multiple of 22? True Is 4 a factor of 421? False Is 12 a factor of 186562? False Does 18 divide 3744? True Does 2 divide 409? False Is 277 a multiple of 25? False Is 2 a factor of 137? False Is 173 a factor of 65975? False Is 14819 a multiple of 89? False Is 10 a factor of 23760? True Is 21 a factor of 62016? False Is 29330 a multiple of 8? False Does 31 divide 3652? False Is 67 a factor of 1465? False Is 13 a factor of 26? True Is 44 a factor of 20588? False Does 7 divide 151? False Does 70 divide 903? False Is 73 a factor of 4814? False Does 76 divide 8512? True Is 118 a factor of 32096? True Does 13 divide 8798? False Is 51 a factor of 28530? False Is 49 a factor of 94160? False Does 84 divide 22729? False Is 1498 a multiple of 80? False Is 1504 a multiple of 32? True Does 18 divide 2186? False Does 14 divide 19757? False Does 78 divide 11345? False Is 30 a factor of 2340? True Is 931 a multiple of 15? False Is 11088 a multiple of 22? True Does 18 divide 1665? False Does 41 divide 1257? False Does 41 divide 12915? True Is 96 a multiple of 16? True Is 7120 a multiple of 20? True Does 19 divide 2363? False Does 18 divide 183? False Is 58 a factor of 670? False Is 4062 a multiple of 21? False Is 2016 a multiple of 16? True Is 44812 a multiple of 68? True Is 17 a factor of 61098? True Does 121 divide 29077? False Is 3043 a multiple of 34? False Is 6 a factor of 798? True Is 14280 a multiple of 42? True Is 5389 a multiple of 11? False Is 27 a factor of 2594? False Does 68 divide 106488? True Is 11 a factor of 114? False Is 97 a factor of 6027? False Is 11 a factor of 261? False Does 2 divide 56? True Is 9 a factor of 63023? False Is 29 a factor of 7395? True Does 14 divide 1212? False Is 660 a multiple of 10? True Does 17 divide 2788? True Is 6643 a multiple of 20? False Does 17 divide 941? False Is 96325 a multiple of 32? False Is 10469 even? False Is 1048 a multiple of 131? True Does 18 divide 60839? False Does 4 divide 2680? True Is 27072 a multiple of 192? True Does 9 divide 42201? True Does 76 divide 81016? True Is 41 a factor of 287? True Is 21 a factor of 15897? True Is 89 a factor of 19224? True Does 59 divide 42244? True Does 16 divide 962? False Is 109 a m
{ "pile_set_name": "DM Mathematics" }
t -5*r**3 + 365*r**2 + 1140*r = 0. What is r? -3, 0, 76 Solve 3*r**5 - 30*r**4 + 117*r**3 - 222*r**2 + 204*r - 72 = 0 for r. 1, 2, 3 Factor -a**2/3 + 1639*a/3. -a*(a - 1639)/3 Factor 3*f**2 + 114*f + 111. 3*(f + 1)*(f + 37) Factor -12*v**3/7 - 41*v**2/7 - 13*v/7 + 6/7. -(v + 3)*(3*v + 2)*(4*v - 1)/7 Find b, given that b**5/7 - 15*b**4/7 + 73*b**3/7 - 15*b**2 - 74*b/7 + 120/7 = 0. -1, 1, 4, 5, 6 Factor 5*c**4 - 290*c**3 + 4200*c**2 + 290*c - 4205. 5*(c - 29)**2*(c - 1)*(c + 1) What is f in -5*f**2/4 - 499*f - 399/4 = 0? -399, -1/5 Let 5*m**2 + 150*m = 0. What is m? -30, 0 Factor -3*q**4 - 6*q**3 + 81*q**2 - 324. -3*(q - 3)**2*(q + 2)*(q + 6) Factor 2*f**2/15 - 844*f/15 - 1696/15. 2*(f - 424)*(f + 2)/15 Factor 63*k**3/4 + 32*k**2 - 185*k/4 - 3/2. (k - 1)*(k + 3)*(63*k + 2)/4 Factor -l**4/4 + 25*l**3/4 - 81*l**2/2 + 216. -(l - 12)**2*(l - 3)*(l + 2)/4 Factor 121*x**3 + 9361*x**2 + 3392*x + 308. (x + 77)*(11*x + 2)**2 Factor -3*q**4/4 - 51*q**3/4 + 225*q**2 - 996*q + 1392. -3*(q - 4)**3*(q + 29)/4 Determine z so that -2*z**5/11 + 28*z**4/11 - 128*z**3/11 + 192*z**2/11 = 0. 0, 4, 6 Determine q, given that -2*q**3/9 - 62*q**2/9 - 170*q/3 - 50 = 0. -15, -1 Factor -4*a**2 - 1620*a + 3256. -4*(a - 2)*(a + 407) Find x, given that 3*x**2 - 633*x + 1872 = 0. 3, 208 Determine t so that t**2/3 + 236*t/3 + 13924/3 = 0. -118 Factor -14*i**3 - 136*i**2 - 184*i + 64. -2*(i + 2)*(i + 8)*(7*i - 2) Factor -5*s**2 - 370*s + 8280. -5*(s - 18)*(s + 92) Factor -3*a**3 + 6*a**2 + 3*a - 6. -3*(a - 2)*(a - 1)*(a + 1) Let 42*o**3 - 610*o**2 + 856*o - 312 = 0. What is o? 2/3, 6/7, 13 Find p, given that -237*p**2 + 240*p - 3 = 0. 1/79, 1 Suppose -5*f**3 + 1010*f**2 - 52000*f + 100000 = 0. What is f? 2, 100 Factor x**4/4 + 181*x**3/2 + 1793*x**2/4 + 715*x + 357. (x + 1)*(x + 2)**2*(x + 357)/4 Factor 2*d**2/11 + 80*d + 2622/11. 2*(d + 3)*(d + 437)/11 Find s such that -3*s**5/5 + 66*s**4/5 - 432*s**3/5 + 1134*s**2/5 - 1053*s/5 = 0. 0, 3, 13 Factor -2*w**3 - 36*w**2 - 90*w + 648. -2*(w - 3)*(w + 9)*(w + 12) Solve -2*k**3/5 - 6*k**2 + 242*k/5 - 42 = 0 for k. -21, 1, 5 Find m, given that m**3/7 - 47*m**2/7 + 46*m/7 = 0. 0, 1, 46 Determine d so that 60*d**3 - 175*d**2 + 105*d + 10 = 0. -1/12, 1, 2 Solve 8*z**3/11 + 214*z**2/11 - 518*z/11 + 116/11 = 0 for z. -29, 1/4, 2 Determine a so that 18*a**4/5 + 732*a**3/5 + 7664*a**2/5 + 4868*a/5 + 798/5 = 0. -21, -19, -1/3 Solve 2*g**5 - 10*g**3 + 8*g = 0. -2, -1, 0, 1, 2 Factor 3*g**3 - 591*g**2 + 29400*g - 28812. 3*(g - 98)**2*(g - 1) Factor -3*v**3/8 - 3*v**2/4 + 15*v/8 + 9/4. -3*(v - 2)*(v + 1)*(v + 3)/8 Factor w**4 + 2*w**3 - 36*w**2 - 72*w. w*(w - 6)*(w + 2)*(w + 6) What is x in 4*x**4/3 + 592*x**3/3 + 23056*x**2/3 + 28416*x + 27648 = 0? -72, -2 Factor -3*v**2 - 3*v + 270. -3*(v - 9)*(v + 10) Solve -3*n**2 + 609*n = 0. 0, 203 Solve -20*b**2/3 - 1625*b/6 + 205/2 = 0 for b. -41, 3/8 Factor -c**3/3 - 46*c**2/3. -c**2*(c + 46)/3 Suppose -2*b**4 - 6*b**3 = 0. Calculate b. -3, 0 Factor 3*n**2/4 + 21*n + 81/4. 3*(n + 1)*(n + 27)/4 Solve -z**3/4 - 155*z**2/2 + 623*z/4 - 78 = 0 for z. -312, 1 Suppose 14*v**3/3 - 10*v**2/3 - 32*v/3 - 8/3 = 0. What is v? -1, -2/7, 2 Suppose -h**5 - h**4 + 31*h**3 + h**2 - 30*h = 0. Calculate h. -6, -1, 0, 1, 5 Factor 10*r**4 - 188*r**3 + 142*r**2 + 36*r. 2*r*(r - 18)*(r - 1)*(5*r + 1) Factor -l**2/7 + 4/7. -(l - 2)*(l + 2)/7 Factor -1101*c**4/4 + 828*c**3 - 1665*c**2/2 + 282*c - 9/4. -3*(c - 1)**3*(367*c - 3)/4 Solve -2*z**3 - 5832*z**2 + 11670*z - 5836 = 0. -2918, 1 What is c in -c**3 - 5*c**2 + 58*c - 88 = 0? -11, 2, 4 Factor -u**2/3 - 518*u/3 - 67081/3. -(u + 259)**2/3 Determine j, given that -1458*j**2 - 378*j - 49/2 = 0. -7/54 Solve -2*q**2/5 + 448*q/5 - 25088/5 = 0 for q. 112 Factor -2*w**4 + 34*w**3 - 210*w**2 + 550*w - 500. -2*(w - 5)**3*(w - 2) Determine p so that 4*p**2 - 9216*p - 9220 = 0. -1, 2305 Factor 4*o**3 + 64*o**2 - 4*o - 64. 4*(o - 1)*(o + 1)*(o + 16) What is f in -8*f**3 + 20*f**2 + 24*f - 36 = 0? -3/2, 1, 3 Determine j so that 78*j**2 + 165*j + 18 = 0. -2, -3/26 Solve -l**3/6 + 66*l**2 - 12935*l/2 - 39601/3 = 0. -2, 199 Factor -4*b**3 + 704*b**2 - 5440*b + 10752. -4*(b - 168)*(b - 4)**2 Determine k, given that -k**4 + 7*k**3 - 9*k**2 - 7*k + 10 = 0. -1, 1, 2, 5 Factor 16*t**3 + 100*t**2 + 168*t + 36. 4*(t + 3)**2*(4*t + 1) Solve 14*t**3 - 312*t**2 + 382*t - 84 = 0 for t. 2/7, 1, 21 Solve 5*v**2 - 70*v = 0 for v. 0, 14 Solve 3*t**4 + 6*t**3 = 0 for t. -2, 0 Solve 52*x**3 + 640*x**2 + 2624*x + 3584 = 0. -56/13, -4 Factor 2*h**3/17 + 2214*h**2/17 + 816966*h/17 + 100486818/17. 2*(h + 369)**3/17 Factor g**2/2 + 3*g/2 - 9. (g - 3)*(g + 6)/2 Factor q**3/5 - 91*q**2/5 - 201*q/5 + 279. (q - 93)*(q - 3)*(q + 5)/5 Let 2*p**3 + 18*p**2 = 0. Calculate p. -9, 0 Factor 5*z**3 - 25*z**2. 5*z**2*(z - 5) Factor -5*v**2 + 535*v + 1650. -5*(v - 110)*(v + 3) Factor 3*c**2 - 2106*c + 369603. 3*(c - 351)**2 Factor -p**2/8 - 5*p/8 - 1/2. -(p + 1)*(p + 4)/8 Find z, given that 2*z**4/5 + 64*z**3/5 + 624*z**2/5 + 1792*z/5 + 1568/5 = 0. -14, -2 Find h such that 2*h**4 - 36*h**3 + 126*h**2 + 244*h - 336 = 0. -2, 1, 7, 12 Solve -2*d**3 + 166*d**2 - 324*d = 0 for d. 0, 2, 81 Factor -h**3 + h**2 + 17*h + 15. -(h - 5)*(h + 1)*(h + 3) Factor 3*v**4/8 - 3*v**3/4 - 9*v**2/8 + 3*v/2 + 3/2. 3*(v - 2)**2*(v + 1)**2/8 Factor -2*s**4/3 - 68*s**3/3 - 818*s**2/3 - 1360*s - 2400. -2*(s + 5)**2*(s + 12)**2/3 Solve -x**4 + x**3 + 12*x**2 - 28*x + 16 = 0. -4, 1, 2 Find u such that 10*u**5/7 + 86*u**4 + 9690*u**3/7 + 18734*u**2/7 + 3364*u/7 = 0. -29, -2, -1/5, 0 Solve 2*s**4/11 + 1982*s**3/11 + 44730*s**2 + 44550*s = 0. -495, -1, 0 Factor x**3/2 - 35*x**2/2 + 375*x/2 - 1125/2. (x - 15)**2*(x - 5)/2 Factor -2*r**5/11 - 4*r**4/11 + 4*r**3/11 + 16*r**2/11 + 14*r/11 + 4/11. -2*(r - 2)*(r + 1)**4/11 Solve 4*c**5 + 48*c**4 + 140*c**3 - 48*c**2 - 144*c = 0 for c. -6, -1, 0, 1 Suppose 3*m**4/5 - 429*m**3/5 - 2649*m**2/5 - 4899*m/5 - 2682/5 = 0. What is m? -3, -2, -1, 149 Factor -3*r**3 + 27*r**2 - 69*r + 45. -3*(r - 5)*(r - 3)*(r - 1) Suppose 4*u**4 + 24*u**3 + 32*u**2 - 24*u - 36 = 0. What is u? -3, -1, 1 Factor 5*u**5 + 575*u**4 - 1165*u**3 + 585*u**2. 5*u**2*(u - 1)**2*(u + 117) Determine a so that 20*a**4 - 40*a**3 - 135*a**2 - 95*a - 20 = 0. -1, -1/2, 4 Let -64*c**4 - 608*c**3 + 316*c**2 - 40*c = 0. Calculate c. -10, 0, 1/4 Determine l so that -5*l**4 - 160*l**3 - 1540*l**2 - 3920*l = 0. -14, -4, 0 What is s in -4*s**4/9 + 8*s**3/3 + 20*s**2 - 200*s/9 = 0? -5, 0, 1, 10 Let -3*m**2 + 120*m = 0. Calculate m. 0, 40 Factor -3*f**4/5 + 21*f**3/5 + 51*f**2/5 + 27*f/5. -3*f*(f - 9)*(f + 1)**2/5 Factor f**5/2 + f**4/2. f**4*(f + 1)/2 Determine y, given that -2*y**5 - 16*y**4 - 2*y**3 + 164*y**2 + 40*y - 400 = 0. -5, -2, 2 Suppose 4*d**5 + 124*d**4 - 12*d**3 - 380*d**2 - 248*d = 0. Calculate d. -31, -1, 0, 2 Suppose -2*r**5/9 + 4*r**4/3 - 2*r**3/9 - 16*r**2/3 + 40*r/9 = 0. What is r? -2, 0, 1, 2, 5 Find s, given that -2*s**4/7 - 36*s**3/7 - 62*s**2/7 + 36*s/7 + 64/7 = 0. -16, -2, -1, 1 Factor -2*g**2 - 132*g - 130. -2*(g + 1)*(g + 65) Find q, given that 5*q**2 - 165*q + 160 = 0. 1, 32 Factor q**4/2 + 7*q**3/2 - 14*q**2 + 10*q. q*(q - 2)*(q - 1)*(q + 10)/2 Find v such that 4*v**2 - 348*v - 352 = 0. -1, 88 Factor -166*s**2/5 - 138*s/5 + 28/5. -2*(s + 1)*(83*s - 14)/5 Find h, given that 4*h**2/7 - 148*h/7 = 0. 0, 37 Factor -3*t**4/7 + 537*t**3/7 + 3303*t**2/7 + 4995*t/7. -3*t*(t - 185)*(t + 3)**2/7 Solve -2*h**4 + 1930*h**3 - 5778*h**2 + 5774*h - 1924 = 0 for h. 1, 962 Factor 3*f**3 - 309*f**2 + 2328*f - 4560. 3*(f - 95)*(f - 4)**2 Factor -21*r**4 + 576*r**3 - 26472*r**2/7 - 2304*r - 336. -3*(r - 14)**2*(7*r + 2)**2/7 Find h, given that -2*h**4/9 + 2*h**3/3 + 38*h**2/9 - 58*h/3 + 20 = 0. -5, 2, 3 Suppose 6*k**5/11 - 17484*k**4/11 + 12719592*k**3/11 + 25509168*k**2/11 = 0. What is k? -2, 0, 1458 Factor -3*s**4/8 - 9*s**3/8 + 3*s/2. -3*s*(s - 1)*(s + 2)**2/8 Find i such that -4*i**3 - 100*i**2 - 572*i - 476 = 0. -17, -7, -1 Factor 2*s**3/3 - 10*s**2 - 22*s - 34/3. 2*(s - 17)*(s + 1)**2/3 Let 4*z**3/5 + 108*z**2/5 + 672*z/5 + 1216/5 = 0. Calculate z. -19, -4 Factor -2*j**5 - 22*j**4 - 64*j**3 - 56*j**2. -2*j**2*(j + 2)**2*(j + 7) Factor -44*g**4/5 - 6988*g**3/5 - 369516*g**2/5 - 6483172*g/5 + 1191016/5. -4*(g + 53)**3*(11*g - 2)/5 Solve 2*a**3/7 + 90
{ "pile_set_name": "DM Mathematics" }
biggest value in m, -8, -0.9, 1/3? 1/3 Let l = 17.4 - 20.4. Let t = -185 - -178. What is the fourth biggest value in l, 4, -2, t? t Let s = -930/17 + 3771/68. Which is the third biggest value? (a) 9 (b) -0.2 (c) s (d) -5 b Let s(j) = -11*j + 210. Let g be s(19). Let o = 9 - 9. What is the biggest value in o, g, -0.3? g Let d be (44/1375)/((-6)/(-3)). Let g = d - -23/125. Let j be ((-9)/15)/(9/12). What is the second smallest value in j, -4, 4, g? j Let p = 0 - -0.3. Let v = -0.6 + p. Let y = 433761 + -433760.8. What is the second smallest value in -1/8, y, v, -4? v Let i(v) = v**2 + v - 13. Let n be i(2). Let x be -5 + 13 + 6 - n. What is the smallest value in -0.1, -1, -0.5, x? -1 Let q = 388 - 384. Which is the third biggest value? (a) 13 (b) 0.4 (c) -5 (d) q (e) 1 e Let b = 0.019 - 0.519. Let z(i) = -i**3 - 2. Let a be z(0). Let j be (98/(-588))/((-3)/18). What is the biggest value in 3, b, a, j? 3 Suppose -11*y = -170 - 6. Let b be (0 - 3/9)/(8/y). What is the smallest value in b, 1, -34? -34 Let p = 6196/9303 + 2/3101. Which is the third smallest value? (a) 3/13 (b) 0.2 (c) 5 (d) p (e) -5 a Let y be (-8)/(-10)*16/(-992)*-31. What is the fourth biggest value in -144, y, -0.5, -1, 0.5? -1 Let o = -25/34 + 4/17. Let u = -1283 + 1285. What is the fourth biggest value in 5, -0.7, o, u? -0.7 Let k = 0.19 + -0.22. Let z = k - -0.23. What is the third smallest value in z, -4, 0.1? z Suppose 1 = -r - 1. Let g be -1 - (r + 11/9). Let p = 1/15669 - -5222/15669. What is the biggest value in p, g, -0.5? p Let k(z) = -164*z - 491. Let w be k(-3). What is the fourth smallest value in -13, 0.3, w, 5, -1/3? w Let j be -7 - (-495)/(-820)*-13. Let x = -4/41 + j. Which is the second smallest value? (a) -4 (b) x (c) -0.4 (d) 5 c Let w(f) = 3*f**2 - 14*f + 18. Let q be w(4). Suppose -3*l - 5*k - q = 0, l - 4*k = -3*l + 40. What is the biggest value in l, -9, -2? l Let p = 38144 - 38149. Let k = -16 + 15.8. What is the third smallest value in p, 1, -8, k? k Let t be (-6)/14 + (-60)/(-105). Let g = -14.4 - -26.3. Let o = -11.6 + g. What is the biggest value in o, t, 15? 15 Let m(l) = -160*l - 479. Let f be m(-3). Which is the third biggest value? (a) 7 (b) -0.14 (c) f (d) -2/11 b Suppose 0 = -9*f + 4*f - 25310. Let m = f + 50251/10. Let o = m - -37. Which is the second smallest value? (a) -0.1 (b) o (c) 3 b Let n = -0.756 + 0.356. Which is the smallest value? (a) n (b) 0.6 (c) 10 a Let r = 3 + 0. Let s = r - 0. Let l be (-32)/10*(-3025)/(-2420). Which is the second smallest value? (a) l (b) s (c) 5 b Let x be (-18546)/5445 - (16/120)/(2/(-2)). Which is the fifth biggest value? (a) -1 (b) -4/5 (c) x (d) -4 (e) -5 e Let r = 5 - 84. Let o = 49 + r. Let s = 34 + o. Which is the second smallest value? (a) -0.01 (b) 0.3 (c) s b Let f = -0.8969 + 1.1969. What is the fourth biggest value in 17, f, 3, 5? f Let f = -18.975 + 20. Let q = -1.07 + f. Let w = q + -3.955. Which is the biggest value? (a) -2 (b) 1/6 (c) 0.1 (d) w b Let v = 0.201 - 0.2522. Let z = v + 0.3512. Let w = -0.01 - 0.29. Which is the second biggest value? (a) 11 (b) z (c) w b Let l = -0.06 + -0.44. Let p = -387/40 - -49/5. Let m = 9773.4 + -9773. What is the second smallest value in p, m, l? p Let c = -0.11 - -4.11. Let d = c - 7. Let f = 1804/3 + -7213/12. What is the smallest value in 4, 7/11, f, d? d Let o = 5.1877 - 5.0177. Let s = 2.96 - -0.04. Which is the second smallest value? (a) -3 (b) 0.5 (c) o (d) s c Let i be (79/(-316))/((-2)/(-8)). Let h = i + 2/3. Which is the smallest value? (a) h (b) -0.8 (c) 2/3 (d) -8 d Let j = 780571/165711 + -13/1821. Let f = 50/13 - j. Which is the fourth smallest value? (a) -8 (b) 0.2 (c) -2/17 (d) f b Let y(w) = w + 17. Let x be y(-14). Let i = 42.71 + -33.71. What is the biggest value in x, -2, i? i Suppose -1145 = 9*u + 1690. Let j = -317 - u. What is the fourth smallest value in j, 9, -4, 1? 9 Let n = -6.5 - -10.5. Let d = 3.7 - 2.9. Let i = -4.2 - d. Which is the second biggest value? (a) n (b) -0.3 (c) i b Let x = 87 + -142. Let w = x + 85. Let c be ((-6)/(-10))/1 + 102/w. What is the third smallest value in 2, -2/5, 2/13, c? 2 Let h be ((-2)/4)/((-2)/(-4)). Let p = 823.05 - 813.05. Which is the fourth biggest value? (a) h (b) 1 (c) -0.3 (d) p a Suppose 13 = -r - 100*k + 97*k, 3*k = r - 5. Which is the smallest value? (a) 112 (b) -1 (c) r c Let m be (-6)/(-4)*16/(-18). Let p = -0.578 + 0.648. Suppose -2*l + 3*v = 5, 0 = -4*l + 4*v - 7 - 1. Which is the third biggest value? (a) l (b) m (c) p b Suppose -90 = 15*w - 45. Let y(a) = -2*a**2 - 8*a - 25. Let v be y(w). What is the fourth biggest value in -0.3, -2/13, 5, v? v Let n(x) = 57*x + 1759. Let p be n(-31). Which is the fourth biggest value? (a) 1 (b) 7 (c) 2 (d) p (e) -1 e Let a = -1098 + 1098.449. Let k = -0.051 - a. Let l = 22 + -20. What is the third smallest value in k, l, 0.1? l Suppose -4 = -5*j + 130*q - 132*q, -6 = 4*j - 3*q. Suppose 0*i = 6*i - 6. What is the smallest value in 1/7, i, 5, j? j Let n be -22*(-3)/72 + (6 - 3)/(-18). What is the smallest value in 6, 33/7, n, 3? n Let x(l) = l**2 + 672*l + 5954. Let u be x(-9). Which is the smallest value? (a) 0.2 (b) 2 (c) u (d) -4 (e) 2/11 c Let x = 699.9 + -700. Let l = 2415/19 + -127. Which is the second smallest value? (a) l (b) x (c) -11 b Let w = -0.01 + 2.01. Let h be ((-80)/6)/(43/(-774)). Let z = -1198/5 + h. Which is the fourth smallest value? (a) z (b) w (c) 1 (d) 0 b Let u be ((-42)/63)/(2/6). Let i be (-494)/(-152) - u/(-8). Let n = -2754/13 - -212. Which is the third biggest value? (a) n (b) -3 (c) i b Let m = 106.74 + -101.74. What is the fourth smallest value in m, -6/5, 1.8, 0.02? m Suppose s + 1 = -0. Let i = -39 - 166. Let n = 204.8 + i. Which is the second biggest value? (a) s (b) 3 (c) n (d) -1/15 d Let g be (-24 + 4)*(-36)/90. What is the third biggest value in 0.2, g, -1/4, 14? 0.2 Let j = -78/7 + 76/7. Suppose -3*x + 0*x - 1 = -o, 21 = o + x. Let r = 11 - o. What is the second biggest value in -3, r, j? -3 Let p = -115 + 70. Suppose 2*o = -13*u + 9*u + 8, -5*u - 3*o + 11 = 0. What is the third smallest value in -3, u, p? u Let x = 5629.802 - 5557.8. Let h = 0.002 - x. Let t = h - -72.4. Which is the second biggest value? (a) 3 (b) -0.2 (c) 0 (d) t d Let q = 32.45 - -0.55. Let w = 18 - q. Let s = -12 - w. Which is the smallest value? (a) s (b) -3 (c) 9 b Let y = -0.6 - -0.1. Suppose -71*p + 497 = 213. Which is the fourth smallest value? (a) -28 (b) y (c) -2 (d) p d Let p(q) = q**3 - 4*q**2 + 6*q - 21. Let u be p(9). Let s = u + -439. Let h = 4 + -9. Which is the second biggest value? (a) -0.11 (b) h (c) s (d) 2 a Let r = 22423 - 22375. Which is the second biggest value? (a) r (b) 0.07 (c) 9 c Suppose 4*p = r - 41, -5*p + 2*r - 39 = 16. Let z be p/(-4) - (-7)/(-28) - -7. What is the third smallest value in -0.3, z, 2? z Let o be (-3)/9*(-138 - -140). What is the third smallest value in o, 1, 6, -1, -2/53? -2/53 Let z = 19.54 + -21.54. What is the smallest value in -1/8, 0, -6/11, z? z Let h be 8/(280/(-15)) - ((-7494)/(-1134) + -7). What is the third smallest value in h, 8, -1/9? 8 Let s be 60 + (-53063)/846 - (-10)/4. Let p = -27 - -53. Which is the second biggest value? (a) s (b) p (c) -5/2 a Let v = 66 + -42. Let l = -0.044 - -19.044. Let m = l - v. What is the second smallest value in -6, -0.1, m? m Let q = 0.04501 + 0.02099. What is the biggest value in 1.1, -0.4, q? 1.1 Let y = -2.6 - 283.8. Let m = -286 - y. Which is the fourth biggest value? (a) -0.23 (b) -1/5 (c) m (d) 0.3 a Let d = -526645/17 - -30979. Let i = 0.07 - 0.57. What is the second biggest value in d, -1/16, i, 3? -1/16 Let h = 59 - 43. Suppose 55*g - 58*g = 0, 5*j + 4*g - 20 = 0. What is the smallest value in j, h, 0.4? 0.4 Let r(k) = -k - 1. Let c be r(2). Let y be (-1)/(-2) - c/(-12). Let s = -2.057 - -2.357. What is the third smallest value in s, 0.02, y? s Let w = 3.6 + 2.6. Let t = 6.1 - w. Let d = -25.3 + 25. Which is the third smallest value? (a) d (b) t (c) -3 b Let x = -155.7 - 62.3. Let c = x + 215. Let i = 0.4 - 0. What is the smallest value in -0.4, c, i, 7? c Let f = 15722 - 15723. What is the smallest value in -5, -4/7
{ "pile_set_name": "DM Mathematics" }
)/o)*o)/o)*o*o*o)*o)*(o**(-34))**(-11/5) assuming o is positive. o**(841/20) Simplify g**15*g/(g*g**(-16)*g)*((g/g**(22/9))/g)/(g*g**(14/3)*g) assuming g is positive. g**(188/9) Simplify ((n**(-1/4)*n)**(2/3))**(1/70)/((n**(-7)*n/n**(2/7))/(n*n**(-2/9)*n*n*n**3)) assuming n is positive. n**(15209/1260) Simplify ((p*p**13)/(p*p**(-45)))/(p**(-37))**(-1/14) assuming p is positive. p**(775/14) Simplify ((c**(1/3)*c*c)**25)**(-15)*c**(2/5)*c*c/c**6*c*(c**(2/7)/c)**(2/13) assuming c is positive. c**(-399358/455) Simplify (a**(-1/5)/a*a*a*a/a**(4/5)*(a**(-1))**(32/7))/(a**(-5)/a**(-1/5)*(a/a**0*a*a*a*a)**(-1/8)) assuming a is positive. a**(519/280) Simplify (x*x/x**(-1)*x/((x**(5/4)*x)/x)*(x/(x**6*x))/x**7)/(((x/(x/(x*(x/(x**6/x)*x)/x)))/(x**(-1)/x))/(x*x/((x**8*x*x)/x)*x**(-7))) assuming x is positive. x**(-93/4) Simplify ((n**(3/4)*(n*n**(-21))/n)**1)**(-8/11) assuming n is positive. n**(162/11) Simplify (l**(-1))**(-27)*(l*l*l/(l*l**1*l))**(-1/38)*((l*l/(l**9*l))/l**(-3/5))**(-1/14) assuming l is positive. l**(1927/70) Simplify (((f*f**(-3/4))/(f**(3/4)*f*f))/(f**23*f*f**(2/5)))**(1/35) assuming f is positive. f**(-269/350) Simplify ((b/(b/((b*((b**(-5)/b*b*b)/b)/b)/b)))/b**(2/11))**1*(b/b**5*b**3)/(b*b/b**3*b**5*b) assuming b is positive. b**(-134/11) Simplify (((h/h**(5/2))/h)**(4/31)*h**(1/9)/h*h/((h/(h/(h*h/(h/(h*h**(-2/13)))))*h)/h*h))**(-2/39) assuming h is positive. h**(22180/141453) Simplify ((y**(-3/4)/y)/(y**2/y)*y/y**(-1)*(y*y*y**6*y)/y)/((y**(-5/2)*y**(-2/5))/(y**1)**(-43)) assuming y is positive. y**(-657/20) Simplify ((b**1/((b**(-2/13)*b)/b*b))/(b**(-7)*b/(b**(-5)*b)*b))/(((b*b**(1/3)/b)/b*b*b**(2/5))/((b/b**(-1/6))/b*b**(-2/31))) assuming b is positive. b**(6319/12090) Simplify (j*j/j**19*j*j*j**35/j)/(j**(7/3)/j**(2/87)) assuming j is positive. j**(484/29) Simplify ((x*x*x**(-1/5)*x*x)**(-34)/((x**(-1/4)/x)/(x/x**(-10))))**(-5/13) assuming x is positive. x**(2339/52) Simplify (((n*n**14*n)/(n*n/(n*n**(5/4))))/((n*n**(-3))/n)**(1/2))**1 assuming n is positive. n**(71/4) Simplify (((j/(j/j**(2/17)))/j**(-2/27)*(j/(j*j*j**(-2/25)))/(j/j**2))**(1/12))**(2/25) assuming j is positive. j**(1559/860625) Simplify (w**(-5)/w**(-1))/(w**2*(w/(w*w**(-3/8)))/w)*(w**(1/4)/(w*w**5))/(w**(-4)/w**(-4/3)) assuming w is positive. w**(-203/24) Simplify (s*(s/s**0)/s*s*s*s*s**(3/2))**(-27)/((s/((s/s**(-4))/s*s)*s)/(s/(s*s**(2/9)))*(s/((s*s*s**(-1)*s*s)/s))**0) assuming s is positive. s**(-2623/18) Simplify ((l/l**(1/3)*l*l)**(-5/18)/(l/((l**4*l)/l)*l**(-1/5)/l))/((l*l**(2/7)*l)**(5/2))**(-1) assuming l is positive. l**(8669/945) Simplify (((y/(y*y/y**(2/7))*y)/y)**21*y*(y/y**(2/17))/y*y*y*y**4)/((y**(-2))**(-18)*(y*y**8)/((y**(-4)/y)/y)) assuming y is positive. y**(-1005/17) Simplify ((w**(-26)/(w*w/(w*w*w*w*(w/((w/(w/(w**(-26)/w)*w))/w*w)*w)/w*w*w)))/(w/(w**(1/17)/w)*w*(w**17/w)/w))**(9/10) assuming w is positive. w**(-837/85) Simplify (f/(((f*f/((f**(1/2)*f)/f))/f*f)/f))/f**(3/8)*f**1/f**0*(f**(-2))**13/((f*f**(2/15))/(f/f**(-1/15))) assuming f is positive. f**(-2993/120) Simplify (i**(-2)*i/i**4*i*i**(1/6)/(i**(-1/5)*i))/((i/(i**4*i)*i**(-1/2))/(i**(2/3)/(i/(i**(2/3)/i)*i))) assuming i is positive. i**(-9/5) Simplify r**(5/4)/r*r**3*((r/(r*r**1)*r)/r)/(r/((r/r**(-1/7))/r))*(r**1)**(1/34)/((r**(-6)/r)/r*r**(-2/17)/r) assuming r is positive. r**(5017/476) Simplify ((q**(-1))**(6/11)*q**(4/13)*q**4*q)**(-29) assuming q is positive. q**(-19749/143) Simplify ((x**(-3)/((x/(x**(-1/5)*x))/x))/(x**1)**(-33))/((x**(2/5)/(x*((x*x**(-2/9))/x*x)/x))/(x*x**(-1/5)/x*x*x*x**6)) assuming x is positive. x**(1754/45) Simplify ((j*j**(-10)*j)/(j/(j/(j*j**(1/42))))*(j**(-1/6)*j)/((j**(-2/15)*j)/j))**(-2/129) assuming j is positive. j**(188/1505) Simplify (k**(-5)*k*k**(11/5)*k**(-6/23)/k*k*k/k**14)**(-2/113) assuming k is positive. k**(3464/12995) Simplify ((((c*c/(c/(c**(-13/3)/c))*c)/(c/c**(-5/6)))**(1/66))**(2/91))**26 assuming c is positive. c**(-31/693) Simplify (k/(k**(-4)/k*k)*k**(-5)*(k/k**(-1/4))**(-2/19))/(k**(1/3)*k**0*(k*k**7)/(k/k**(-2))) assuming k is positive. k**(-623/114) Simplify ((x/(x/(((x*x**(6/13)/x*x*x)/x)/x)*x)*x)/(x/(x/(x*x**(-1/56)*x*x*x*x*x)))*((x*x/x**3)/x)/(x**45/x))**(36/5) assuming x is positive. x**(-337563/910) Simplify ((d**(-5))**(-2))**(-27)*(d*d**(2/21)*d)/d**(-7)*(d**(-2/11)*d*d)/(d/(d/(d/(d/(d*d/d**2))))) assuming d is positive. d**(-59849/231) Simplify (n**(-1/10)/n*n**(1/8))/(n/n**(2/7))**(-45)*((n/n**(-4/9))**(8/11))**48 assuming n is positive. n**(753911/9240) Simplify (((v*v**(-9/7)*v*v)/(v/(v*v/v**16)))/((v**(6/13)*v)/(v/(v*v**(-2)))))**12 assuming v is positive. v**(-13920/91) Simplify (((((w**(-2/15)/w)/w)/w*(w/((w/(w**0/w))/w*w))/w)/(w**(-2/5))**(-11))**(-2/61))**(2/11) assuming w is positive. w**(52/915) Simplify (j**2*j**(-5))**(1/62)*(j/j**(1/3))**(-2/3)*j**(-3/4)/j*j*(j**(-3)/j)/j*j assuming j is positive. j**(-5851/1116) Simplify ((x/x**(11/6)*x)/x*x/x**(2/45))/(x**(-8/5)*x**31*x) assuming x is positive. x**(-545/18) Simplify (b**(-1)*(b*b**(-18))/b)/(b*b/b**(-43/4)*b/(b*b**(-37))) assuming b is positive. b**(-275/4) Simplify (o**(-4)/o**1)**30/(((o/((o*(o*o**(2/13)*o)/o)/o))/o*o**(-3/7))/(o*(o*(o**1/o)/o)/o)**40) assuming o is positive. o**(-13506/91) Simplify (((r**2*r*r/r**(2/3))**(-17/6))**(2/27))**(-18) assuming r is positive. r**(340/27) Simplify (w/(w*w**4)*((w/w**(-2/9))/w)/w)/(w**(-2/7))**(2/35)*((w**(-1))**30)**(8/11) assuming w is positive. w**(-644689/24255) Simplify (((q/q**(-3/2))/q)/q**(-6/5)*(q**(1/4))**(-36))/((q**4/(q/(q/(q**(2/5)*q))))/((q/q**(-1))/q*q**(-1/4))) assuming q is positive. q**(-163/20) Simplify ((a*a*a**1/a)/(((a/(a*a/(a/a**(10/9))*a*a))/a)/a))**(-3)*(a**(2/7)/a)**(-41)*a**(2/3)*a*a/((a/((a*a**(-7))/a))/a*a)*a assuming a is positive. a**(76/21) Simplify (d/d**(-14))**(-10/13)/(d**(-2/11))**(-2/27) assuming d is positive. d**(-44602/3861) Simplify ((t*((t**(-2/15)*t)/t)/t)**(-11/3)*(t/t**(-24))/t**(8/9))**(-1/22) assuming t is positive. t**(-123/110) Simplify ((j/(j*j*j*j/((j/(j*j/(j*j**(-2/7)*j*j*j)))/j))*j)/j*((j**(-11)*j)/j)/j*(j/(j/(j**(-1)/j*j)))**24)**(-5/6) assuming j is positive. j**(435/14) Simplify ((c**(-4)/(c*c**1/c))/(c**(1/2))**(-2/91))/(c/c**(-5)*c**0*c**(3/2)/(c/c**(-1/3))) assuming c is positive. c**(-6091/546) Simplify (i**(-2/5)*i)**(-2/7)/(i**(-1/4)*i)**46*(i*i**(-1/5))/i**(-1)*(i/(i**1/i))/i*i/i**(4/5) assuming i is positive. i**(-2287/70) Simplify ((((p/p**18)/p)/(p/(p**(1/19)/p*p)))/((p/(p**(-2)/p*p))/(p*p/(((p*p/p**18)/p*p)/p))))**(3/29) assuming p is positive. p**(-168/551) Simplify ((y/((y*y*(y*(y*y*(y**(-1/2)*y)/y)/y)/y)/y))**(-29)/(y**4*y**(-7)))/((y*((((y**(-1/3)/y)/y*y*y)/y*y)/y)/y)**(-4/15))**(25/2) assuming y is positive. y**(235/18) Simplify j*j/j**(-4)*j**(-6/11)*(j*j*j/j**(4/11)*j)/((j/((j*j**(-6))/j))/j)*(j/((j/j**(1/2))/j))**(-3/7)*j**(-4)*j**(-6/7) assuming j is positive. j**(-53/22) Simplify (t**(-1/2)*(t**(-1/4)*t)/t)**38*(t**(-1))**(-7)*(t**0*t)**24 assuming t is positive. t**(5/2) Simplify ((m*(m*m*m*m*m*m**0*m)/m)**(1/8)*(m**3/m)/m**1)/((m**(-2/5))**(-12))**(-38) assuming m is positive. m**(3683/20) Simplify ((y**(-6))**17*(y**(-2/23))**(2/3))**32 assuming y is positive. y**(-225344/69) Simplify (n**(-28)*((n/n**(-1/5)*n*n)/n)/n)/(n*n/n**(-41))**(3/4) assuming n is positive. n**(-1181/20) Simplify (((i**(1/4)/i)**(4/13)*((((i*(i*i**(-2))/i)/i*i)/i)/i)**(-2/179))**(-12/5))**(-9/10) assuming i is positive. i**(-24786/58175) Simplify ((n/n**12)/n*n**6*(n/(n*n*(n/((n*n**(-8))/n))/n*n*n))/n**(2/9))**47 assuming n is positive. n**(-7285/9) Simplify ((j/((j**26*j)/j))/j)**(-2/19)*j*j*j*j*j**(-1/21)*j/(j*j**(-41)/j)*j*j assuming j is positive. j**(20225/399) Simplify (p**(3/2)/p*p**(-1/2)*p/p**(-1/3)*p/(p**0/p))/(((p**2*p)/(p/p**(1/7)*p))/(p**(-6)/(p**(-4/5)*p))) assuming p is positive. p**(-421/105) Simplify (s**(-8)/s**(2/7))/((s/s**(-7))/s**(-2/11))*(s/(s*s*s**(-1/5)*s*s*s))**(3/14)/((s*s/((s**(-3)/s)/s))/s**(-1/6)) assuming s is positive. s**(-4034/165) Simplify (n/(n**19/n)*n**(3/17))/((n/(n**14/n*n))/n*n**(2/33)) assuming n is positive. n**(-1618/561) Simplify (b**(3/8)/(b/((b**(-1/9)/b)/b*b)))/((b/(b/(b/b**(-30))))/(b/(b*(b/(b**(-2)*b))/b)*b)) assuming b is positive. b**(-2357/72) Simplify ((n/n**(-4/3)*n*n/(n*n/(n*n*(n**(-3/4)*n)/n*n))*n
{ "pile_set_name": "DM Mathematics" }
to one dp. 0 Let d = 535.9534 - 536. What is d rounded to three dps? -0.047 Let j = 2 - 2. Suppose j = 5*u - u. Suppose u = 5*f - 2*f - 26100000. What is f rounded to the nearest one million? 9000000 Let f be 359 + 7 + (4 - 0). Round f to the nearest 100. 400 Let b(g) = -4*g**2 + 4*g + 6. Suppose -12 = -0*f + 3*f. Let x be b(f). Round x to the nearest ten. -70 Let g = 133.3999021 + -133.4. Round g to five dps. -0.0001 Let c = -427.3 - -407. Round c to zero decimal places. -20 Let r = 203.000000362 - 203. What is r rounded to 7 dps? 0.0000004 Let r = 2 - 2. Suppose 4*s + a - 4439995 = r, -153828 = -s - 4*a + 956152. What is s rounded to the nearest 100000? 1100000 Let q = 0.18 + -0.74. Let g = -0.06 - q. What is g rounded to 1 decimal place? 0.5 Let l = -1 - 0. Let p = 0.99 + l. Let m = p - 0.054. What is m rounded to 2 dps? -0.06 Suppose 5*r - 35 = 2*y, -3*y = -r + 16 + 4. Let p = y - -2. Let z be (-8)/(-12) - (-11)/p. What is z rounded to the nearest 10? 0 Let d = 49.7570735738 + 39.1623409867. Let b = -0.0805801395 - d. Let s = b - -89. What is s rounded to six decimal places? 0.000005 Let p = -2.6 + 2.89. What is p rounded to two dps? 0.29 Suppose -3*v - 2319227 - 4351324 = 0. Let d = 5676483 - v. What is d rounded to the nearest 1000000? 8000000 Let y = -30439.680221 + 30447.48. Let w = y + -7.91078014. Let d = -0.111 - w. Round d to 7 dps. 0.0000011 Let b = 314 - 218. Let d = 204 - b. Let t = -108.061 + d. Round t to two decimal places. -0.06 Let g = -156.7 + 35.9. Let f = 98 + g. Round f to the nearest integer. -23 Suppose -597175 = 5*q + 1802825. What is q rounded to the nearest one hundred thousand? -500000 Let j = 9 - 8.9. Let m = j + -0.113. Round m to two decimal places. -0.01 Let c be ((1 - 1) + -956)*-1. Let g(v) = 46*v**2 - 6. Let q be g(-5). Suppose -q - c = -3*p. Round p to the nearest 100. 700 Let f(n) = 39258*n**3 + 5*n**2 - 5*n + 4. Suppose l = 6*l - 15. Let j be f(l). What is j rounded to the nearest one hundred thousand? 1100000 Let h be (-1)/(-2) - 9/(-2). Suppose h*l - 56 = 114. What is l rounded to the nearest ten? 30 Let t = -146450.99993 - -146450. Let w = -15 - -14. Let c = t - w. Round c to five decimal places. 0.00007 Let o = -42715 - -28415. What is o rounded to the nearest 1000? -14000 Let l = -288.856 - -274.7. Let g = l + 0.056. What is g rounded to the nearest integer? -14 Suppose l - 2*j - 3 = -0*j, 3*l - 9 = -5*j. Suppose 139 = -l*y + 28. Let t = -55 - y. Round t to the nearest 10. -20 Let t = 3.29999966 - 3.3. Round t to seven dps. -0.0000003 Let w = -200524.059908 - -200569.06. Let g = w - 45. Round g to five decimal places. 0.00009 Let c = 0.5 - 0.500096. Round c to five decimal places. -0.0001 Let d = 238.9533 - 239. Round d to two decimal places. -0.05 Let i = -345.756 + 345. Let d = -0.086 - i. Round d to one dp. 0.7 Let k = -23.0831 - 0.0169. Round k to 0 decimal places. -23 Let a = -22.203 - -35.136. Let m = 42 + -29. Let q = a - m. Round q to two decimal places. -0.07 Let m = 15.1 + -15.10111. Round m to 4 dps. -0.0011 Let z = 349 + -349.000157. What is z rounded to 4 decimal places? -0.0002 Suppose -4*p - 73716 = -l, 23969 = l - 2*p - 49739. Round l to the nearest ten thousand. 70000 Let j = -1096 + 1097.844. Let r = -11.2 - -13. Let s = r - j. What is s rounded to two decimal places? -0.04 Let d = 63 - 60.1. Let x = d + -2.899956. Round x to five decimal places. 0.00004 Let v = 4.01 + -0.01. Let q = 80.95 + -77. Let i = v - q. What is i rounded to one decimal place? 0.1 Let t = 327.347 + -194.488. Let b = t - 133. Let h = b + 0.14157. Round h to four dps. 0.0006 Let l = 705899 + 854341. Let u = l + -2870240. Round u to the nearest one hundred thousand. -1300000 Let x = -0.63 + 0.63068. Round x to four decimal places. 0.0007 Let q = -14.99968 - -15. What is q rounded to 4 dps? 0.0003 Let a = 0.219 - 0.1449. What is a rounded to two dps? 0.07 Let f = 105888.62400063 - 105888.55. Let x = 93.926 - 94. Let d = x + f. What is d rounded to 7 decimal places? 0.0000006 Let u = 147.6 - -716.4. Let l = u + -866.115. Let d = l - -2. What is d rounded to two dps? -0.12 Let z be (319 + -1)*(-5)/3. Let l be -1670*(2/2)/(-3 + 2). Let o = l - z. What is o rounded to the nearest 1000? 2000 Suppose 3*u - 4*n - 28 = 0, -u + 1 = 4*n + 13. Suppose u*a + 0*a = 5*y - 5375, 0 = -a + 2*y - 1346. Round a to the nearest 100. -1300 Let i = -32.99944 - -33. Round i to 4 dps. 0.0006 Let d = 17.6 - 9.2. Let h = -24 - -36. Let z = d - h. Round z to the nearest integer. -4 Let k = 1622.97749 - 1623. Let l = 0.022 + k. What is l rounded to 4 decimal places? -0.0005 Let y = -0.664 - -0.67937. Round y to three dps. 0.015 Let w = -6.5 - -6. Let a = w + 0.500004. What is a rounded to five decimal places? 0 Let d = -0.135 - -0.302. Round d to 2 decimal places. 0.17 Let n = -0.36625 - -0.37. What is n rounded to four dps? 0.0038 Let p = 10881554 - -2223537. Let j = -6205091 + p. What is j rounded to the nearest one million? 7000000 Let m = 135.227 - 0.227. Let n = 26.66563 + 108.34007. Let d = n - m. Round d to 3 dps. 0.006 Let o = 232363840.1 + -232363829.50000059. Let h = -21 + 31.6. Let w = o - h. Round w to 7 dps. -0.0000006 Let x = 17.0000145 - 17. Round x to six dps. 0.000015 Let d = -4 - -6. Suppose y = -d*y + 12. Let q be (2/y)/((-1)/(-16800)). Round q to the nearest 1000. 8000 Let v = -136522541 + 136522528.3000101. Let s = 12.7 + v. Round s to six dps. 0.00001 Let g = 10 - 10.000025. Round g to 5 decimal places. -0.00003 Suppose 9 - 1 = 4*d. Suppose -v + 5 = -5*f, 7 - d = v. Suppose f*q = 3*q - 2280. What is q rounded to the nearest 100? 800 Let k = 230.81 + -232. Let v = -2.06 - k. Round v to one dp. -0.9 Let w = -1 - -0.9. Let k = 61439.900052 + -61440. Let h = w - k. Round h to five dps. -0.00005 Suppose -2500 = x - 6*x. Let b be (x/6)/(2/3840). Round b to the nearest 100000. 200000 Let j = -0.975 - -0.78. Let b = -0.2 - j. Let z = 0.049 - b. What is z rounded to 2 dps? 0.05 Let v = -9.2513 - -0.5103. Let n = v + -0.059. What is n rounded to the nearest integer? -9 Let s = -0.5697 - -0.0157. Round s to 1 decimal place. -0.6 Let f = -1.2845 - -1.3. Round f to three dps. 0.016 Let i = 77.949 - 78. Let a = -36.949 + i. Let u = 37.0168 + a. Round u to three dps. 0.017 Let d = -87673.3649 + 87677. Let f = -4.48 - -0.83. Let n = d + f. Round n to three dps. -0.015 Let x(i) = 76*i**3 + i**2 + 4. Let n = -4 - -2. Let w be x(n). Round w to the nearest one hundred. -600 Let c = 3 + -3.2. Let n = -2412 - -2412.2002. Let x = n + c. Round x to four decimal places. 0.0002 Let y = -5.88 - -6. Let s = y + -0.56. Round s to 1 dp. -0.4 Suppose 0 = 5*y - 3*y + 11000. Round y to the nearest 1000. -6000 Let g = 1 - 6. Let m be g/(-15) - (-121)/(-3). Round m to the nearest ten. -40 Suppose -24 = -4*t + 2*s - 4*s, 4*s = -3*t + 28. Let j = -9 + t. Round j to the nearest 10. -10 Let q = -0.0568 + -411.9432. Let n = -411.797 - q. What is n rounded to 2 dps? 0.2 Let r = 43.2 - 48. Round r to 0 dps. -5 Let t = 1.8 + -1.73. Let y = 0.0699944 - t. Round y to 6 dps. -0.000006 Let k = -1.2 + 1.2. Let l = k + 0.017. What is l rounded to 3 dps? 0.017 Let g = -0.159 + 0.1590087. Round g to 6 decimal places. 0.000009 Let z = -19.4 + 18. What is z rounded to one dp? -1.4 Let t(h) = 2*h**3 + 16*h**2 + 14*h + 20. Let c be t(-12). Round c to the nearest one thousand. -1000 Let c = -1036548.80144569 - 678.19889431. Let z = 1037205 + c. Let j = z - -22. Round j to four dps. -0.0003 Let w = 7689 - 96689. Round w to the nearest 10000. -90000 Let y = -138 + 137.999907. Round y to five decimal places. -0.00009 Suppose 4*o + 4*i = -i + 228, 5*o - i = 256. Round o to the nearest 10. 50 Let h = 53.99999876 - 54. What is h rounded to 7 decimal places? -0.0000012 Let a = 69.999934 + -70. What is a rounded to five dps? -0.00007 Let s = 18556.8889 + -18568.9. Let g = 12 + s. What is g rounded to three decimal places? -0.011 Let h = 12740 - 18037. Let j = -21097 - h. Round j to the nearest 1000. -16000 Let o = -25.72 + -0.28. Let r = 92.59334 - 66.5941. Let l = o + r. Round l to four dps. -0.0008 Let c(t) = 6056537*t**2 - 1. Let p(h) = h**3 + 2*h**2 - 4*h - 4. Let b be p(-3). Let f be c(b). Let a = f + -4256536. What is a rounded to the nearest 1000000? 2000000 Let j = -10
{ "pile_set_name": "DM Mathematics" }
5, -55, -43, -29? -13 What is next in 16, 159, 552, 1321, 2592, 4491, 7144? 10677 What is the next term in -12, 15, 56, 117, 204, 323, 480? 681 What is next in 62, 62, 70, 92, 134, 202, 302? 440 What is next in -186, -369, -552, -735, -918, -1101? -1284 What is next in 70, 71, 72, 73, 74? 75 What comes next: -763, -770, -789, -826, -887? -978 What is next in -147, -147, -155, -177, -219, -287, -387, -525? -707 What is next in -222, -223, -224, -225, -226? -227 What comes next: -6, -21, -44, -75, -114, -161, -216? -279 What is the next term in 26, 27, 26, 23, 18, 11, 2? -9 What is next in 106, 215, 320, 421, 518? 611 What comes next: 604, 2416, 5436, 9664? 15100 What comes next: 63, 407, 1327, 3111, 6047, 10423? 16527 What is the next term in -10, -19, -16, 5, 50, 125, 236, 389? 590 What comes next: 801, 804, 817, 846, 897, 976? 1089 What is the next term in 92, 109, 150, 227, 352, 537? 794 What comes next: 49, 95, 135, 169, 197? 219 What is the next term in -1922, -1942, -1976, -2030, -2110? -2222 What is the next term in -187, -388, -589, -790? -991 What is next in -16, -34, -82, -172, -316, -526, -814, -1192? -1672 What is the next term in -1047, -1045, -1043, -1041? -1039 What is next in -647, -1305, -1963? -2621 What is next in -22, -92, -238, -484, -854, -1372? -2062 What comes next: 3, 10, 3, -24, -77, -162? -285 What comes next: -702, -704, -708, -714, -722, -732? -744 What comes next: -26, -59, -98, -143, -194, -251, -314? -383 What is the next term in -9, -7, -11, -21? -37 What is next in -272, -286, -300, -314? -328 What comes next: -111, -223, -333, -441, -547, -651, -753? -853 What comes next: 394, 397, 400, 403? 406 What is the next term in -2, -13, -32, -59, -94, -137, -188? -247 What is next in 1, -4, 3, 28, 77, 156? 271 What comes next: 123, 103, 79, 51? 19 What is next in 810, 1616, 2422, 3228, 4034? 4840 What comes next: -7, -9, -21, -49, -99? -177 What comes next: 14, 34, 82, 170, 310? 514 What is next in -243, -220, -197, -174, -151? -128 What is the next term in -17, -39, -73, -119, -177, -247, -329? -423 What is next in 65, 72, 79, 86, 93? 100 What is the next term in 239, 240, 241, 242? 243 What is the next term in 23, 37, 51, 65, 79, 93? 107 What is the next term in -7, -19, -31? -43 What is the next term in 1262, 2538, 3816, 5096, 6378? 7662 What is the next term in 39, -41, -181, -387, -665, -1021, -1461? -1991 What is the next term in 101, 97, 93, 89? 85 What is the next term in 121, 244, 367, 490? 613 What comes next: -309, -322, -335, -348? -361 What comes next: 62, 59, 56, 53, 50? 47 What is next in -37, -46, -69, -112, -181, -282, -421, -604? -837 What is the next term in 1021, 1036, 1069, 1126, 1213, 1336, 1501? 1714 What is the next term in 231, 955, 2171, 3879? 6079 What is the next term in -1806, -3610, -5412, -7212? -9010 What comes next: 4, 4, 8, 10, 4, -16, -56? -122 What is the next term in 28, 98, 214, 376, 584? 838 What is next in -1752, -1756, -1772, -1806, -1864, -1952, -2076, -2242? -2456 What is next in 1970, 1971, 1972, 1973, 1974, 1975? 1976 What comes next: 687, 1391, 2109, 2847, 3611, 4407, 5241, 6119? 7047 What is the next term in 440, 444, 458, 488, 540, 620? 734 What is the next term in 35, 71, 121, 191, 287, 415, 581, 791? 1051 What is next in 43, 75, 99, 115, 123? 123 What comes next: 4, -10, -26, -44, -64, -86, -110? -136 What is next in -943, -946, -949, -952? -955 What comes next: 433, 434, 435, 436? 437 What comes next: 2783, 2784, 2785, 2786? 2787 What is the next term in -2, 18, 60, 130, 234, 378, 568, 810? 1110 What is next in 34, 65, 112, 175, 254? 349 What is the next term in 101, 203, 305, 407? 509 What is the next term in 21, 6, -35, -114, -243, -434, -699? -1050 What comes next: 138, 141, 146, 153? 162 What comes next: -341, -329, -319, -311? -305 What comes next: 1265, 2537, 3809, 5081, 6353? 7625 What is next in 8, 7, 16, 41, 88, 163? 272 What is the next term in 224, 448, 672, 896? 1120 What comes next: -354, -711, -1068, -1425, -1782, -2139? -2496 What is next in -2205, -4412, -6617, -8820, -11021? -13220 What is the next term in 20977, 20979, 20981, 20983, 20985, 20987? 20989 What comes next: 82, 72, 50, 10, -54? -148 What is the next term in 602, 601, 600, 599? 598 What is next in 107, 239, 381, 539, 719, 927, 1169, 1451? 1779 What is the next term in -1024, -1024, -1022, -1018, -1012, -1004, -994? -982 What comes next: 324, 341, 370, 411, 464? 529 What comes next: -488, -494, -502, -512, -524? -538 What is the next term in 291, 470, 649, 828, 1007, 1186? 1365 What is next in 14, 48, 100, 176, 282? 424 What comes next: 4241, 4240, 4239, 4238, 4237, 4236? 4235 What comes next: -43, -87, -131, -175, -219? -263 What is the next term in 129, 244, 359? 474 What is next in -128, -124, -120? -116 What is the next term in -269, -263, -253, -239, -221, -199, -173? -143 What comes next: -210, -376, -542? -708 What is the next term in 2391, 4809, 7251, 9729, 12255, 14841, 17499? 20241 What comes next: -35, -77, -121, -167, -215, -265? -317 What is the next term in -253, -495, -737, -979, -1221? -1463 What is next in 37, 37, 21, -23, -107, -243, -443? -719 What is the next term in 131, 202, 263, 308, 331, 326, 287, 208? 83 What is the next term in -5, -21, -47, -89, -153, -245, -371? -537 What comes next: 66, 129, 192, 255, 318, 381? 444 What is the next term in 42546, 42545, 42544? 42543 What comes next: -3, -33, -95, -195, -339, -533? -783 What comes next: 3568, 7134, 10700? 14266 What is next in -15811, -15809, -15805, -15799, -15791, -15781? -15769 What is the next term in -10, -20, -42, -82, -146, -240, -370, -542? -762 What is next in 123, 179, 235, 291, 347, 403? 459 What comes next: 285, 1120, 2515, 4476, 7009, 10120, 13815? 18100 What is the next term in -3, -17, -41, -75, -119, -173, -237? -311 What comes next: -42, -34, 8, 102, 266, 518, 876? 1358 What comes next: -254, -512, -770, -1028, -1286? -1544 What is the next term in -67, -143, -221, -301? -383 What is the next term in 1241, 2483, 3727, 4973, 6221, 7471? 8723 What comes next: -16, -68, -170, -334, -572, -896, -1318, -1850? -2504 What comes next: 19, 74, 165, 292, 455? 654 What is the next term in -34, -45, -72, -121, -198, -309, -460? -657 What is next in -104, -181, -258, -335? -412 What is the next term in -18, -25, -30, -33? -34 What is next in -941, -1884, -2827? -3770 What is next in 65, 25, -19, -67, -119, -175, -235? -299 What is next in 2, 5, 10, 17, 26, 37? 50 What comes next: 9, 15, 21, 27, 33? 39 What is the next term in 139, 136, 133? 130 What is next in -28, -18, -2, 20, 48, 82? 122 What comes next: -18, -34, -48, -60, -70, -78? -84 What is the next term in 58, 58, 82, 142, 250, 418? 658 What comes next: 8, 19, 50, 113, 220? 383 What comes next: -531, -545, -559, -573, -587, -601? -615 What comes next: -154, -148, -144, -142, -142, -144? -148 What is next in -57, -100, -131, -150, -157, -152? -135 What comes next: 252, 242, 222, 186, 128, 42, -78, -238? -444 What comes next: 62, 52, 30, -10, -74, -168, -298, -470? -690 What is the next term in 11, 176, 643, 1562, 3083? 5356 What is the next term in -85, -167, -249, -331? -413 What comes next: 52, 66, 106, 184, 312, 502? 766 What is the next term in 319, 638, 957? 1276 What comes next: 146, 179, 230, 305, 410, 551, 734? 965 What is next in -38, -66, -92, -116, -138, -158? -176 What is the next term in -171, -690, -1555, -2766? -4323 What is the next term in -55, -107, -157, -205? -251 What is the next term in -114, -224, -334, -444? -554 What comes next: -84, -159, -232, -303, -372, -439, -504? -567 What is next in -665, -716, -801, -920? -1073 What comes next: 15, 56, 121, 210? 323 What is the next term in -4, -23, -62, -133, -248, -419? -658 What is the next term in 1, 20, 73, 178, 353? 616 What is the next term in -156, -299, -452, -621, -812, -1031, -1284, -1577? -1916 What comes next: 104, 208, 312, 416, 520, 624? 728 What comes next: -388, -389, -390, -391, -392, -393? -394 What is the next term in 14259, 14258, 14257, 14256, 14255? 14254 What is the next term in 1, -8, -15, -14, 1, 36? 97 What comes next: 6210, 6222, 6248, 6294, 6366? 6470 What is the next term in -104, -219, -348, -497, -672, -879, -1124, -1413? -1752 What comes next: 49, 9
{ "pile_set_name": "DM Mathematics" }
, 2*o = 4*x - 3 - 35. Calculate the remainder when 58 is divided by x. 10 Let c = 1 - 0. What is the remainder when 35 is divided by 1/c - 55/(-5)? 11 Suppose 4*i - 3*i - 20 = 0. Suppose l = -4 + i. Let p = 44 + -14. What is the remainder when p is divided by l? 14 Suppose 1 = 3*n + 13. Let c = n - -17. Let i = c - 4. What is the remainder when 25 is divided by i? 7 Suppose 2*m + 2*o - 12 = -0*m, 3*m - 2 = 5*o. Suppose 12 = -0*y - m*y, g = -4*y - 1. What is the remainder when 19 is divided by g? 8 Let n(q) = q**2 - 8*q + 10. Let g be n(7). Let z(u) = -u + 8. Calculate the remainder when z(0) is divided by -9*((-7)/g - -2). 2 Calculate the remainder when 134 - ((3 - 0) + 0) is divided by 33. 32 Suppose -2*v + 7 + 14 = d, -5*d = v - 33. Calculate the remainder when 23 is divided by v. 7 Let i(h) = 2*h + 11. Calculate the remainder when 75 is divided by i(4). 18 Suppose -3*v = -5*j + 72, 0 = 5*j - 0*v + 2*v - 77. Calculate the remainder when j is divided by 6. 3 Let p(n) = n + 2*n**2 + 22 + n**2 - 4*n**2. Suppose 7 = 3*k - 5*l - 7, -3*k = l - 26. What is the remainder when p(0) is divided by k? 6 Let y(f) = -f**2 + 13*f - 14. Let l be y(11). Suppose h = -l + 25. What is the remainder when h is divided by 10? 7 Suppose 2*o + 32 = 2*t, 1 + 8 = -t - 4*o. Let w = t - 7. Calculate the remainder when 14 is divided by (-2 + w)*1 - -6. 6 Calculate the remainder when 86 is divided by 410/14 - 4/14. 28 Let g(n) = 8*n**2 + 3*n - 2. Let s be g(2). Suppose -3*c + 42 = -s. Calculate the remainder when c is divided by 9. 8 Let u(v) = v. Let a(g) = -8*g - 1. Let w(l) = -a(l) - 5*u(l). What is the remainder when 272/28 + 2/7 is divided by w(1)? 2 Let i = 123 + -97. What is the remainder when 98 is divided by i? 20 Let n = -1 - -13. Calculate the remainder when (170/(-15))/((-2)/6) is divided by n. 10 Let g(p) = -3*p**3 - 24*p**2 + 2*p - 19. Let s(k) = -k**3 - 8*k**2 + k - 6. Let b(a) = -3*g(a) + 8*s(a). What is the remainder when b(-6) is divided by 18? 15 Let f(n) = n**2 - 4*n - 8. Calculate the remainder when ((-27)/(-6))/((-9)/(-48)) is divided by f(7). 11 Let s(m) = 407 - 407 + 19*m**2. Suppose -2*l + 4*l + 2 = 0. Calculate the remainder when 36 is divided by s(l). 17 Let f(s) = 2*s**2 + 3*s + 4. Calculate the remainder when 51 is divided by f(-3). 12 Let n = 6 + -9. Let u = 15 + n. Calculate the remainder when u is divided by 7. 5 Suppose 4*c - 13 = 11. Calculate the remainder when 23 is divided by c. 5 Let h = -54 + 94. Let q = 31 + -17. Calculate the remainder when h is divided by q. 12 Let f be (8/(-28))/((-1)/7). Suppose 5*n + 10 = -5*h, 6*h + n = f*h + 4. What is the remainder when h is divided by 2? 0 Suppose -2*r + 122 = 5*i - r, i - 2*r - 20 = 0. Calculate the remainder when i is divided by 14. 10 Suppose 3*m - 58 = 2*m. Calculate the remainder when m is divided by 12. 10 Let h be -3*(-3 - (-21)/9). Suppose 7*d - h*d = 0. Suppose d = -4*g - 0*g + 2*w + 22, 2*w = 5*g - 30. Calculate the remainder when g is divided by 3. 2 Let f be 3/(-2 + (-3 - -6)). Suppose -4*b - 5 + 15 = -w, -13 = -2*w - f*b. Calculate the remainder when w is divided by 1. 0 Calculate the remainder when 67/3 + 10/15 is divided by ((-9)/(-6) + -1)*26. 10 Suppose i + 3*i - 44 = 0. Suppose 28 = -7*k + i*k. Calculate the remainder when 12 is divided by k. 5 Let a be (-4)/10 + (-8)/(-20). Let n be -40 - ((3 - a) + -2). Let k = n - -70. What is the remainder when k is divided by 8? 5 What is the remainder when 12 is divided by 0 - (-4 - -1) - -4? 5 Let h = -20 - -49. Let d = -19 + 34. Calculate the remainder when h is divided by d. 14 Let x(p) be the third derivative of -p**6/24 + p**5/30 + p**4/24 + p**3/6 + 3*p**2. What is the remainder when x(-2) is divided by 16? 15 Let x = -13 - -18. Suppose 5*l - 75 = x*d, 51 = 4*l - d - 0*d. What is the remainder when 22 is divided by l? 10 What is the remainder when 83 is divided by 4/((-93)/33 - -3)? 17 Let g = -11 - -52. What is the remainder when g is divided by 11? 8 Let i be (-2 - -3) + 0 - 0. What is the remainder when 47 is divided by (i + 2)/((-3)/(-16))? 15 Suppose 4*k - x - 348 = 3*x, -5*k - 5*x + 395 = 0. Calculate the remainder when k is divided by 28. 27 Let p = -32 + 71. Suppose -q = 2*q - 30. Calculate the remainder when p is divided by (1 + 1)/(2/q). 9 Let l be (10 + 0 + 0)/1. Let r = l - -7. Calculate the remainder when r is divided by 6. 5 Let n = -255 - -369. Suppose -2*s + 72 = 3*z + z, 0 = 4*s - 2*z - n. What is the remainder when 59 is divided by s? 29 Suppose -2*s - y + 28 = y, 3 = 2*s - 3*y. Calculate the remainder when 2/s + 412/9 is divided by 12. 10 Suppose -2*k - 59 = -3*x, -5*k + 4*k - 41 = -2*x. Calculate the remainder when x is divided by 7. 2 Let v = -11 - -5. What is the remainder when 37 is divided by 1*57/v*-2? 18 Suppose -v + 23 = 4*l, -5*l + 2*l = 5*v - 166. Suppose -4*s - 7 + 83 = 0. Calculate the remainder when v is divided by s. 16 Let f = 75 - 14. Let d(s) = -4*s - 8. What is the remainder when f is divided by d(-6)? 13 Suppose 5 = 12*o - 7*o. Let k = o + 36. Calculate the remainder when k is divided by 10. 7 Suppose -x - 41 = -3*d, -13 = d + 5*x - 32. Calculate the remainder when 41 is divided by d. 13 Suppose -4*s = -2*d - 114, -2*d = 6*s - s - 129. Suppose -n + 1 = z - 2, -5*n = 20. Calculate the remainder when s is divided by z. 6 Suppose -5*j = -8*j + 129. Calculate the remainder when j is divided by 9. 7 Suppose 6*f - f - 5*l - 115 = 0, 3*l - 26 = -2*f. Calculate the remainder when f is divided by 9. 1 Let w(m) = m**2 - 5*m + 5. Calculate the remainder when w(7) is divided by 7. 5 Suppose -1 = -2*b + 13. Suppose -5*q + 57 - b = g, 223 = 4*g - 3*q. Calculate the remainder when g is divided by 19. 17 Suppose -4*p - 110 = -9*p. What is the remainder when 63 is divided by p? 19 Let y(w) = 10*w - 44. What is the remainder when 93 is divided by y(7)? 15 What is the remainder when ((-738)/4)/(-9) - 1/(-2) is divided by 7? 0 Suppose 3*l - 235 = -67. What is the remainder when l is divided by 12? 8 Let v(i) = i**3 - 12*i**2 - 7*i + 9. Calculate the remainder when v(13) is divided by 30. 27 Let g = -9 + 14. Suppose 3*l = 6, 2*l = -g*r + 5*l - 31. Let u = -3 - r. Calculate the remainder when 2 is divided by u. 0 Let x = -9 - -45. Suppose -3*y + x = -33. What is the remainder when y is divided by 8? 7 Suppose -5*x + 5*m = -35, 4*m + 28 = 5*x + 6*m. Suppose 0 = -n - 6 - 1. Let p = 3 - n. Calculate the remainder when p is divided by x. 4 Suppose 5*u - 2*n = 230, 2*u - 51 = -n + 41. Calculate the remainder when u is divided by 16. 14 Suppose -156 = -3*g + 3*p, -72 = -2*g - 3*p + 37. What is the remainder when g is divided by (-6)/(-4)*(-28)/(-3)? 11 Let m(y) = -y**3 + 9*y**2 - 7*y - 4. Calculate the remainder when m(7) is divided by 12. 9 Let s = -137 + 220. What is the remainder when s is divided by 22? 17 Let x(g) be the first derivative of g**3/3 - g**2/2 + 2*g + 4. Let b(c) = -c. Calculate the remainder when x(5) is divided by b(-8). 6 Let n = 88 - 50. Suppose -j + 2*d + 59 = 4*j, 4*d + 14 = 2*j. What is the remainder when n is divided by j? 12 Let v(z) = z**3 + 9*z**2 + 8*z - 5. Let c(i) = -2*i + 3. Calculate the remainder when v(-7) is divided by c(-5). 11 Let v = 23 - 14. Let j(g) = 4*g + 2. Calculate the remainder when v*(0 + 28/6) is divided by j(5). 20 Let z = 75 - 70. Calculate the remainder when 21 is divided by z. 1 Let c(j) = 4*j**2 + 2*j - 4. What is the remainder when c(5) is divided by 27? 25 Suppose 5*f - 19 = 21. What is the remainder when (-269)/(-8) - (-3)/f is divided by 18? 16 Suppose -3*s - 116 = 2*p + 2*p, -4*p - 8 = 0. Let h(v) = 49*v - 3. Let q be h(-1). Let i = s - q. What is the remainder when 31 is divided by i? 15 Let k be (6/(-15))/((-1)/25). Calculate the remainder when 12 is divided by 7/14*k/1. 2 Let x(p) be the third derivative of -p**6/120 + p**5/15 + 3*p**4/8 - 3*p**3/2 - 4*p**2. Let h = -27 - -59. Calculate the remainder when h is divided by x(5). 10 Suppose n = 2*l - 9, 0*n - 3 = -3*n. Suppose -18 = z - 4*i, 2*z - 16 = -z - 2*i. Suppose -2*h + 8 = z*h. Calculate the remainder when l is divided by h. 1 Let i(w) be the first derivative of -w**3/3 - 9*w**2/2 + 12*w + 3. Let z be i(-10). Suppose z*k - 69 = -k. Calculate the remainder when k is divided by 8. 7 Let i(l) = 6*l*
{ "pile_set_name": "DM Mathematics" }
0.6. Let h = 3 + y. Sort j, -5, h in descending order. j, h, -5 Suppose 4*b = -2*k + 10, 4*b + 5*k = -2 + 9. Let y = 2 - b. Sort y, -3, 2 in decreasing order. 2, y, -3 Let j(q) = q**2 - 1. Let s be j(0). Suppose -4*c + 3*f - 29 = 0, 0*c - 5*c - 4*f = 13. Put 1, c, s in decreasing order. 1, s, c Let m = -6 - -3.9. Let f = 2 + m. Let n be 1/6*(-1 + -1). Sort -5, f, n in descending order. f, n, -5 Let h = 0 + -5. Sort 5, -15, h in increasing order. -15, h, 5 Let r = -5 + 3. Let s be (14 - 5)*(-2)/6. Sort -0.2, s, r in decreasing order. -0.2, r, s Let q be (-5 + 4 - -2)/(-3). Let z = -34/99 + 4/33. Sort z, q, -1/7. q, z, -1/7 Let q = -16 - -29. Sort -0.1, -1/2, q in descending order. q, -0.1, -1/2 Let v = 3.4 + 0.6. Let g be ((-66)/(-9) - 6)/(52/6). Sort v, g, 10 in decreasing order. 10, v, g Let g = 4 + -4.3. Suppose 12 = 3*d + 4*k, -4*k + 1 + 11 = 2*d. Let u = -13/15 + 2/3. Put d, g, u in decreasing order. d, u, g Let p = 50 - 44. Sort 4, 2/11, p in descending order. p, 4, 2/11 Let k(z) = -z**3 - 8*z**2 + 2*z + 10. Let s be k(-8). Let a be (s/14)/(-3)*-1. Put a, 0, 1/3 in decreasing order. 1/3, 0, a Suppose -3 - 1 = -2*m. Suppose -3*q + 10 = -q. Put 4, m, q in ascending order. m, 4, q Let z = 3 + -2.9. Let a = -10 + 14.9. Let y = a + z. Sort -2/3, 2, y in decreasing order. y, 2, -2/3 Let o(q) = q + 7. Let k be o(-4). Sort k, 1, -5 in descending order. k, 1, -5 Let b = 1.4 + -0.4. Let c(f) = -f**3 - 10*f**2 - f - 8. Let n be c(-10). Put b, -5, n in increasing order. -5, b, n Suppose 5*d + 1 = -2*q + 9, 0 = q - 5*d + 11. Let k be -6 + 1/(1/2). Sort 0, q, k in decreasing order. 0, q, k Let a be (4/24)/(2/(-8)). Put 1, a, 0.4 in descending order. 1, 0.4, a Let t = -0.5 + 0.6. Sort 6, t, -0.1 in ascending order. -0.1, t, 6 Let j be (12/(-15))/(2/25). Let y be (10/(-25))/(1/j). Sort 2, y, -2 in increasing order. -2, 2, y Suppose 3*b = 44 - 5. Let n = 13 - 10. Suppose -n*m = b + 2. Put m, -2, 2 in ascending order. m, -2, 2 Let j(n) = -n - 2. Let m be j(0). Let p be 21/(-2) + m/4. Let d = 6 + p. Sort 0, -1, d. d, -1, 0 Suppose -5*b + 5 = 0, 14 = -4*c + b + 1. Let d = -10 + 15. Let u = -6 + d. Put u, c, 1/2 in decreasing order. 1/2, u, c Suppose -3*g = 4*t - 15 - 4, 2*g = -3*t + 14. Sort -2, t, 3 in descending order. t, 3, -2 Let u(a) = a**3 + a**2. Let y = -6 + 9. Let c = 1 - y. Let i be u(c). Put 2, -3, i in ascending order. i, -3, 2 Suppose 3 = 3*t - 4*t. Put 5, -5, t, 1 in descending order. 5, 1, t, -5 Let x = 10 - 5. Let c = x + -8. Sort -5, c, 2. -5, c, 2 Suppose 0 = -3*m + 11*m. Sort m, 3/2, 3/5 in ascending order. m, 3/5, 3/2 Suppose -10*j - 64 = -6*j. Sort 3, j, -4 in increasing order. j, -4, 3 Let l be (-6)/21*7/(-3). Let h = 54 + -52. Sort l, h, 4. l, h, 4 Let o = 14.3 + -14. Sort 0, -4/3, o in descending order. o, 0, -4/3 Let g = -8 - -9. Let h(f) = -f**2 + 8*f - 9. Let o be h(6). Let c be o*-2*(-3)/(-6). Sort 2, c, g in ascending order. c, g, 2 Let w = -0.15 + 0.55. Put 5, w, 0.3 in decreasing order. 5, w, 0.3 Let k(t) = -t**2 - 3*t - 1. Let f be k(-3). Sort -4, 4, f in decreasing order. 4, f, -4 Let x = -7.4 + 6.4. Sort x, -0.17, 2 in descending order. 2, -0.17, x Suppose -3*d - 4 - 35 = 4*l, 3*l - 52 = 4*d. Let m = -1 - d. Suppose 0*b = 3*b - m. Sort b, 1, -2/13 in increasing order. -2/13, 1, b Let q(f) = -2*f + 4. Let r be q(5). Let h(t) = -t - 2. Let c be h(r). Suppose 2*u = -7 + 9. Sort -4, u, c in descending order. c, u, -4 Let l = 17.9 - 18. Put 0.2, -0.5, l in decreasing order. 0.2, l, -0.5 Let z be 6/(-12) - (2 - 2). Let x = 0.3 + 0.2. Sort -3, x, z in ascending order. -3, z, x Let m = 3 - 0. Let n = -16.8 - -20. Let z = -3 + n. Sort m, z, -0.5 in increasing order. -0.5, z, m Let j(a) = a**3 - 11*a**2 - a + 15. Let p be j(11). Suppose -4*r - 2*q = -3*r - 12, -p*q + 22 = r. Put r, -3, 3 in decreasing order. 3, r, -3 Let w = 10.6 - 11. Put w, 2/7, 0.2 in decreasing order. 2/7, 0.2, w Suppose -4*w - 63 = -2*l - l, 0 = -w + l - 16. Let n = w - -29. Let m = -9 + n. Put m, 4, 7 in ascending order. 4, m, 7 Let z be (-8)/(-60)*(-20)/24. Sort z, 0, 3, 1/2 in decreasing order. 3, 1/2, 0, z Suppose 2*w + 2*w - 20 = 0. Suppose 3*v = 4*a + 2, 7*a - 4*v + 3 = 2*a. Sort a, 4, w in ascending order. a, 4, w Let k = 1 + 1. Suppose n + 4*n - 22 = 4*p, n - k*p - 8 = 0. Sort n, 0, -1. -1, 0, n Suppose -6 = 4*b - 2*r, 4*b + 0*r + r = -9. Let k = 9 + -7. Put b, 0, k in decreasing order. k, 0, b Suppose 9*k - 4*k = 0. Sort -3, k, 3 in increasing order. -3, k, 3 Let i = -0.69 + 3.69. Let x = -69 - -553/8. Sort -3/4, i, x in descending order. i, x, -3/4 Let f = -30 - -28. Let k = -3 + 3. Sort k, f, 2 in ascending order. f, k, 2 Let a = 131 - 81. Let d be a/(-13) - 2/13. Put 3, 1, d in decreasing order. 3, 1, d Let j be (-72)/36 + -1*1. Let f be (-1 - -1)/(4 + -5). Put f, j, 4 in descending order. 4, f, j Let f(r) = -r - 6. Let b be f(-11). Suppose -3*n + 0*m + 12 = -b*m, -2*m = 2*n - 8. Let c = -6 - -2. Sort n, c, 1/4 in increasing order. c, 1/4, n Let t(w) = w**2 + 12*w + 27. Let l be t(-8). Sort -0.2, 1, l in ascending order. l, -0.2, 1 Let x(y) = -y**2 + 3*y + 1. Let a be x(3). Let p = 0 - a. Suppose -2*k - 1 = 3. Sort 3, p, k in descending order. 3, p, k Suppose 4*x + 21 = -4*c + x, -18 = 3*c + 3*x. Let r(i) = i**3 - 6*i**2 + i - 7. Let q be r(6). Let b = q + 2. Sort b, -5, c in decreasing order. b, c, -5 Let f = -40 - -38. Sort 12, f, 3 in ascending order. f, 3, 12 Suppose 0 = a - 2*a + q + 9, 5*a - 9 = -4*q. Put -6, 3, a in ascending order. -6, 3, a Suppose -5*l = -5*z + 10, -2*z + 4 = -0*z - 5*l. Suppose -2*c - 10 = -q, -4*c = 3*q - c + 15. Sort q, z, -1 in ascending order. -1, q, z Let n = 13 + -5. Let m = n - 13. Sort -3, -2, m in decreasing order. -2, -3, m Suppose -2 = 2*v - 8. Sort 5, v, -4 in decreasing order. 5, v, -4 Let n = -60 - -65.6. Let j = n - 6. Let v = 20 + -19. Put j, v, 3/5 in decreasing order. v, 3/5, j Suppose 6*w + 3 = 9*w. Put 5, -3, w, 12 in increasing order. -3, w, 5, 12 Let l be -1 - (16/12 + 4/6). Sort 31, l, 5. l, 5, 31 Let b = -4 + 3.8. Let s = 5.5 - 0.5. Let j be 2/(-9) + (-32)/(-63). Sort s, j, b. b, j, s Let x = -214 + 208. Sort -1, 0, x in decreasing order. 0, -1, x Suppose p + 3*p = 4. Let b(z) = 3*z + 13. Let g be b(-3). Sort p, g, -4 in descending order. g, p, -4 Let x be (2 + (-78)/21)*-14. Suppose 5*y = 2*y - x. Let n = y + 7. Sort -3, n, -4 in ascending order. -4, -3, n Let y = -6 - -9. Suppose 2*c = -y*c. Sort c, -2, 5 in descending order. 5, c, -2 Let a = -0.02 - -3.02. Suppose -34 + 10 = -3*t. Suppose 3*k = t*k + 5. Put -5, a, k in descending order. a, k, -5 Let t = 170 + -168. Put t, 0, 1, -1 in ascending order. -1, 0, 1, t Suppose -4 + 0 = j. Suppose -3*f = -2*f - 4*v + 5, v + 25 = -5*f. Sort 1, j, f in decreasing order. 1, j, f Let y = 10 + -7. Suppose -3*s - y*f + 4*f + 2 = 0, -f = 4*s - 5. Let o be (1/2*-2)/s. Sort -3, o, -4. -4, -3, o Let m = -5.8 + 6. Let j = 0.12 - 0.04. Let a = j - 3.08. Sort a, m, -2/5. a, -2/5, m Suppose -4*c - 11 = d, 22 = 5*c - 4*d + 62. Let x be 143/121 - c/(-22). Put 3, x, -3 in decreasing order. 3, x, -3 Let t = -5 + 4. Sort 3, t, -5 in increasing order. -5, t, 3 Let z = -7.5 - -8. Put z, -3, 5 in descending order. 5, z, -3 Let l be 1 - 5/(100/12). Put 2/15, l, -0.4 in descending order. l, 2/15, -0.4 Let o = 0.79 - 0.69. Sort o, 29, -0.5 in decreasing order. 29, o, -0.5 Let f = -18 - -21. Sort f, 1, 0 in increasing order. 0, 1, f Suppose 8*i - 5 = 3. Sort 5, i, -28 in descending order. 5, i, -28 Suppose 0*n - n - c + 15 = 0, -3*n + 3*c + 27 = 0. Suppose -h = -5 - n. Let x = -12 + h. Sort -1, x, 2 in ascending order. -1, 2, x Let f = -0.9 + 4.9. Let r = -0.15 + 6.15. Let y = f - r. Sort 1/4, -0.1, y in ascending order. y, -0.1, 1/4 Let a be (11 - 3) + 12/(-4). Sort -4, a, 0 in ascending order. -4, 0, a Suppose 3*i + 18 = -0*i + 3*c, 3*i + 10 = -c. Sort 4, i, 2. i, 2, 4 Let q be 45/10*(-4)/33. Let k = 2 + -5. Put k, q, -1 in descending order. q, -1, k Let u = -1.53 + -0.27. Let h = u + 2.2. Sort 1, h, -0.2 in increasing order. -0.2, h, 1 Let x = -0.6 - -0.55. Let k = 0.25 + x. Put -3, k, 3 in descending order. 3, k, -3 Suppose 4*x - 32 = 8*z - 4*z, 2*x + 4*z = -8. Suppose -2*v + 4 = 3*d - 0*d, -x*v + 4*d = -28. Let f = v + -3. Sort 4, -4, f in descending order. 4, f, -4 Let h
{ "pile_set_name": "DM Mathematics" }
here in 1.929789 hours? 115.78734 What is 3/10 of a gram in milligrams? 300 Convert 0.142451ng to kilograms. 0.000000000000142451 How many millilitres are there in seventy-three fifths of a litre? 14600 How many minutes are there in one quarter of a day? 360 What is 25.1544069 minutes in weeks? 0.002495476875 How many centimeters are there in 3/8 of a kilometer? 37500 What is 26/5 of a millennium in years? 5200 What is 934645.3 litres in millilitres? 934645300 How many minutes are there in 21/4 of a day? 7560 What is twenty-one fifths of a milligram in micrograms? 4200 Convert 210.1566 milliseconds to minutes. 0.00350261 What is fifteen quarters of a second in milliseconds? 3750 How many microseconds are there in 471922.2 weeks? 285418546560000000 How many nanometers are there in twenty-seven halves of a micrometer? 13500 How many years are there in 2813.706 months? 234.4755 What is 10.02279 grams in milligrams? 10022.79 How many milliseconds are there in 17.79558 minutes? 1067734.8 How many minutes are there in 3/5 of a day? 864 How many millimeters are there in 25/2 of a meter? 12500 How many millilitres are there in seven quarters of a litre? 1750 How many micrograms are there in 42/5 of a milligram? 8400 Convert 9127.052 millilitres to litres. 9.127052 How many millilitres are there in 49/5 of a litre? 9800 How many litres are there in 70484.66ml? 70.48466 How many years are there in fifty-two fifths of a decade? 104 What is one quarter of a day in seconds? 21600 How many minutes are there in 6/5 of a day? 1728 How many micrometers are there in 18/5 of a centimeter? 36000 How many nanometers are there in 3/10 of a micrometer? 300 Convert 9032.16 nanometers to meters. 0.00000903216 How many months are there in 4/15 of a century? 320 Convert 5.335972um to millimeters. 0.005335972 What is one quarter of a litre in millilitres? 250 How many milligrams are there in 426.6999 grams? 426699.9 How many millimeters are there in 11/4 of a meter? 2750 What is 2/125 of a centimeter in micrometers? 160 What is fifty-nine fifths of a century in years? 1180 What is 3/10 of a millimeter in micrometers? 300 What is 3.894658km in millimeters? 3894658 What is twenty-nine halves of a microgram in nanograms? 14500 What is 0.5088856 milliseconds in microseconds? 508.8856 How many kilograms are there in 1.494708 nanograms? 0.000000000001494708 How many millilitres are there in sixty-one quarters of a litre? 15250 How many litres are there in 899299.4 millilitres? 899.2994 How many meters are there in 3.48257 centimeters? 0.0348257 How many millilitres are there in three fifths of a litre? 600 How many litres are there in 0.8105981 millilitres? 0.0008105981 Convert 34.27912 years to centuries. 0.3427912 Convert 0.7939507 minutes to microseconds. 47637042 What is 7170.572s in milliseconds? 7170572 Convert 16.3458945ns to days. 0.00000000000018918859375 How many kilograms are there in one tenth of a tonne? 100 What is 4.60969 centimeters in micrometers? 46096.9 How many litres are there in 745786.6ml? 745.7866 How many days are there in 6224.858 weeks? 43574.006 What is 85.38093 grams in milligrams? 85380.93 How many millilitres are there in 0.9304402 litres? 930.4402 What is 183.3966036s in weeks? 0.000303235125 How many micrograms are there in thirteen quarters of a milligram? 3250 How many nanoseconds are there in 3/32 of a millisecond? 93750 What is 8191.099l in millilitres? 8191099 What is 6.071783 milligrams in micrograms? 6071.783 What is 32/5 of a micrometer in nanometers? 6400 What is 3/8 of a day in minutes? 540 What is 4040.883 decades in millennia? 40.40883 What is twenty-one eighths of a micrometer in nanometers? 2625 How many decades are there in 0.3083485 millennia? 30.83485 What is 80207.27s in microseconds? 80207270000 How many millilitres are there in 2318.261 litres? 2318261 What is 3/5 of a minute in seconds? 36 What is 0.4514524 litres in millilitres? 451.4524 Convert 1787.4582 microseconds to minutes. 0.00002979097 What is 3/40 of a kilometer in centimeters? 7500 Convert 71506.78 centuries to millennia. 7150.678 How many micrograms are there in fifty-one fifths of a milligram? 10200 What is 6/5 of a millisecond in microseconds? 1200 What is 5247.299 years in millennia? 5.247299 What is 637.4374 millilitres in litres? 0.6374374 What is four fifteenths of a millennium in months? 3200 How many years are there in 474773.9 decades? 4747739 How many milliseconds are there in 9/16 of a minute? 33750 What is 3.483739ml in litres? 0.003483739 What is three eighths of a millennium in months? 4500 How many millilitres are there in 1/10 of a litre? 100 How many millilitres are there in 13/8 of a litre? 1625 How many nanograms are there in 271511.1mg? 271511100000 What is 3/8 of a decade in months? 45 How many meters are there in 783261.2nm? 0.0007832612 How many millilitres are there in 238935.9l? 238935900 Convert 757534.6 millennia to centuries. 7575346 How many centuries are there in 4364.26 decades? 436.426 What is 0.6615723 decades in months? 79.388676 What is 3/40 of a kilometer in millimeters? 75000 How many seconds are there in 146.199 weeks? 88421155.2 What is 993.8292 months in centuries? 0.828191 How many nanometers are there in twenty-five quarters of a micrometer? 6250 What is 4.980335cm in micrometers? 49803.35 What is thirty-one halves of a litre in millilitres? 15500 What is fourty-nine quarters of a kilogram in grams? 12250 How many centimeters are there in 37/2 of a meter? 1850 What is 23.70937 millennia in years? 23709.37 How many years are there in nineteen quarters of a century? 475 What is twenty-five halves of a millennium in decades? 1250 How many milliseconds are there in one tenth of a second? 100 What is three fifths of a millennium in decades? 60 What is 8137.246mg in tonnes? 0.000008137246 What is 59652.51 kilograms in nanograms? 59652510000000000 How many milligrams are there in seven halves of a gram? 3500 How many minutes are there in 6.120486us? 0.0000001020081 How many millilitres are there in 8/25 of a litre? 320 What is 31/2 of a millennium in years? 15500 How many micrograms are there in 729.472ng? 0.729472 What is 2/125 of a microsecond in nanoseconds? 16 Convert 855.1559ml to litres. 0.8551559 How many minutes are there in 14/9 of a week? 15680 What is 46/5 of a day in minutes? 13248 How many months are there in 1/10 of a century? 120 What is 68.86227ng in kilograms? 0.00000000006886227 What is three eighths of a litre in millilitres? 375 How many grams are there in 33/5 of a kilogram? 6600 How many days are there in 8030921.4 minutes? 5577.02875 How many microseconds are there in 58492.13 weeks? 35376040224000000 How many hours are there in 16/7 of a week? 384 Convert 189.3438ml to litres. 0.1893438 How many minutes are there in 15/4 of a day? 5400 How many centimeters are there in 7/16 of a kilometer? 43750 What is 7/2 of a kilometer in meters? 3500 Convert 8532.9 nanograms to milligrams. 0.0085329 How many minutes are there in 4/3 of a hour? 80 How many millilitres are there in 43/2 of a litre? 21500 How many years are there in 566647.3 centuries? 56664730 How many centimeters are there in 15/4 of a meter? 375 What is seventy-six fifths of a millennium in decades? 1520 How many millilitres are there in 37/2 of a litre? 18500 What is seven fifteenths of a minute in seconds? 28 What is 5.735489 nanograms in micrograms? 0.005735489 What is 27383.64 milliseconds in microseconds? 27383640 What is 81/2 of a century in years? 4050 Convert 357.1415l to millilitres. 357141.5 What is 669.5513l in millilitres? 669551.3 What is five quarters of a meter in millimeters? 1250 Convert 9336.458nm to meters. 0.000009336458 How many nanograms are there in seventy-three quarters of a microgram? 18250 Convert 9.394951 micrometers to meters. 0.000009394951 How many days are there in 2.113923 hours? 0.088080125 Convert 382205.7 centuries to decades. 3822057 Convert 273889.3 years to months. 3286671.6 How many micrometers are there in 41/2 of a millimeter? 20500 What is 2.047453 decades in years? 20.47453 How many millimeters are there in 9/10 of a centimeter? 9 How many grams are there in 12/25 of a kilogram? 480 Convert 95.201um to
{ "pile_set_name": "DM Mathematics" }
7*t**4 + s*t**3 - 384/7*t + 0 = 0 for t. -8, 0, 3 Suppose v + 16 = 3*k, 9*k - 8 = 5*k - 2*v. Suppose -15*u + 110*u**3 + 92*u**5 + 35 + 15*u**k + 190*u**2 - 97*u**5 + 150*u = 0. What is u? -1, 7 Let v = 445069 + -445067. Factor 26 - 1/2*a**v + 51/2*a. -(a - 52)*(a + 1)/2 Let s(n) be the third derivative of -n**7/1575 - n**6/300 + 119*n**5/450 - 31*n**4/12 + 70*n**3/9 + n**2 - 187. Let s(j) = 0. Calculate j. -14, 1, 5 Let i(l) be the second derivative of -11/14*l**4 + 0*l**3 - 247*l + 0*l**2 + 0 + 1/140*l**5. Factor i(o). o**2*(o - 66)/7 Let w = 41 - 23. Let v = w - 16. Factor 17*y - 4*y + 4*y**2 + 12 + v*y + y. 4*(y + 1)*(y + 3) Let h(w) = -w**2 - 734*w + 2215. Let x be h(3). Suppose -1/4*f - 5/8*f**2 - 1/2*f**3 + 0 - 1/8*f**x = 0. Calculate f. -2, -1, 0 Let m(x) be the first derivative of -8*x**2 - 4*x**3 + 4*x**4 - 4/5*x**5 + 16*x + 37. Find i, given that m(i) = 0. -1, 1, 2 Solve 33351*x**5 + 2199 - 300*x**4 + 10636*x**3 + 21517 - 33349*x**5 + 58674*x + 45896*x**2 = 0. -2, -1, 77 Factor 2*j**2 - 85 - 142 + 22 - 23 - 70*j. 2*(j - 38)*(j + 3) Let y = -6 - -9. Factor 13*s**3 - 24*s**2 + 20 + 9*s**y + 4*s**4 - 8*s**3 + 2*s**3 - 16*s. 4*(s - 1)**2*(s + 1)*(s + 5) Factor -984/7*h + 80688/7 + 3/7*h**2. 3*(h - 164)**2/7 Factor -102*c - 520/9 + 82/3*c**2 + 4/9*c**3. 2*(c - 4)*(c + 65)*(2*c + 1)/9 Let s(o) = 4*o**4 - 53*o**3 - 285*o**2 - 249*o - 14. Let t(i) = -2*i**4 + 26*i**3 + 142*i**2 + 126*i + 8. Let c(m) = -4*s(m) - 7*t(m). Factor c(z). -2*z*(z - 19)*(z + 1)*(z + 3) Suppose 0 = -5*k + j + 13, -k + j + 8 = -j. Suppose -i + 3*i = 4. Factor 7*o**2 - 14*o + i*o**3 + 7 + 1 - 3*o**k. 2*(o - 1)**2*(o + 4) Let o(s) = -10*s**2 + 12*s - 14. Suppose -3*a + 3 = -9. Let n(i) = 81*i + 11*i**2 + a - 93*i + 11. Let j(k) = 6*n(k) + 7*o(k). Factor j(d). -4*(d - 2)*(d - 1) Let l = -7649 - -45895/6. Let i(t) be the second derivative of 7/3*t**3 - l*t**4 - 6*t**2 + 0 - 4*t. Factor i(f). -2*(f - 6)*(f - 1) Let m(w) = 2*w + 12. Let p be m(-4). Determine y, given that -73*y**2 - 156 - 24*y**p + 82 + 8*y**2 + 15*y**3 - 106 - 255*y + 29*y**4 = 0. -3, -1, 4 Let l be (18/30)/((-18)/19890). Let y = 669 + l. Factor 0 - 4/3*a**2 + y*a**4 + 0*a + 14/3*a**3. 2*a**2*(a + 1)*(9*a - 2)/3 Suppose -3*m = -m + z - 4, -5*m = 4*z - 4. Determine w, given that 4*w**3 - 104*w**4 - 54*w - 94*w**4 + 27 + 194*w**m + 27*w**2 = 0. -3, 1, 3/2 Let q be 1642/(-2463)*3/(-2)*3. Factor -1/2*a**2 + 3/4*a**4 + a**q - 1/4 - a. (a - 1)*(a + 1)**2*(3*a + 1)/4 Let w(z) be the third derivative of -123*z**5/4 + 1825*z**4/24 + 10*z**3/3 + 40*z**2 + 87. Solve w(h) = 0 for h. -4/369, 1 Let -171/4*y**4 - 19/2*y + 7/8*y**3 + 33*y**2 + 0 - 9/8*y**5 = 0. Calculate y. -38, -1, 0, 1/3, 2/3 Let f be ((-32)/24 - 0)*18/(-8). Determine k so that -48*k - 14*k**2 + 42*k**5 - 19*k**5 + 32 + 46*k**f - 21*k**5 - 18*k**4 = 0. -1, 1, 4 Let k(u) = -u**2 - 14*u - 18. Suppose -h + 31 = 3*g + 4*h, -4*g + 2*h + 24 = 0. Let a(y) = -2*y**2 - 22*y - 27. Let d(i) = g*k(i) - 5*a(i). Factor d(o). 3*(o + 1)*(o + 3) Let w(m) = 6*m**3 + 39*m**2 - 110*m + 5. Let f(p) = 2*p**3 + 20*p**2 - 56*p + 2. Let i(x) = -5*f(x) + 2*w(x). Factor i(g). 2*g*(g - 6)*(g - 5) Determine k so that 722/7*k**4 + 8192/7 + 175136/7*k**2 - 76800/7*k + 22800/7*k**3 = 0. -16, 4/19 Let y be 16/(-72) - (-20)/90. Factor -9/8*m**2 + 1/8*m**3 + y*m + 0. m**2*(m - 9)/8 Let f = -202300 - -202300. Let -2*d + 2/3*d**2 + f = 0. Calculate d. 0, 3 Let c(x) be the first derivative of -x**3 - 110 + 21/2*x**2 - 30*x. Determine r so that c(r) = 0. 2, 5 Let l(x) be the third derivative of -2*x**7/315 - 179*x**6/540 + 31*x**5/270 + 5*x**4/18 - 7604*x**2. Suppose l(f) = 0. Calculate f. -30, -1/3, 0, 1/2 Factor -2*d**3 - 22*d**2 - 40*d - 2412 + 4871 - 2395. -2*(d - 1)*(d + 4)*(d + 8) Let q(d) be the third derivative of -26*d**5/15 - 37*d**4/12 - 2*d**3 - 7*d**2 + 3*d. What is a in q(a) = 0? -6/13, -1/4 Let z = 1812 - 1808. Let b(j) be the second derivative of 0 + 0*j**z + 0*j**3 + 2/15*j**6 + 10*j + 0*j**2 + 2/21*j**7 - 2/5*j**5. Suppose b(y) = 0. What is y? -2, 0, 1 Let o(u) = u**5 - u**4 - u - 1. Let l(w) = -4*w**5 - 17*w**4 - 70*w**3 - 100*w**2 - 62*w - 13. Let d(z) = -l(z) - 3*o(z). Solve d(j) = 0. -16, -1 Let d(j) be the third derivative of j**10/982800 - j**8/43680 - j**7/16380 - 29*j**5/12 + 4*j**2 - 6*j. Let t(c) be the third derivative of d(c). Factor t(o). 2*o*(o - 2)*(o + 1)**2/13 Let m(w) = 3*w + 12. Suppose -2*r = -4*g + 15 + 5, -5*g - r + 11 = 0. Let j be m(g). Solve j + 39*b + 0 - 3*b**3 + 6*b**2 + 9*b**2 = 0 for b. -1, 7 Let z(t) be the third derivative of t**7/210 + t**6/120 - t**5/3 - 5*t**2 + 150*t. Factor z(u). u**2*(u - 4)*(u + 5) Let l = -1000204/17 - -58836. Factor 0 + 2/17*z**2 - l*z**3 - 6/17*z**4 + 4/17*z. -2*z*(z + 1)**2*(3*z - 2)/17 Factor 0 - 183/7*f**2 + 0*f - 185/7*f**4 - 367/7*f**3 - 1/7*f**5. -f**2*(f + 1)**2*(f + 183)/7 Let q(g) = 2*g**3 + 208*g**2 + 33*g + 3435. Let h be q(-104). Factor -3 - 3/4*l**h + 3/4*l**2 + 3*l. -3*(l - 2)*(l - 1)*(l + 2)/4 Suppose -70 = 11*y - 81. Factor -6994*j + 6984*j + 2*j**2 - y + 9. 2*(j - 4)*(j - 1) Let p(h) be the third derivative of 3*h**8/112 + 11*h**7/35 - 17*h**6/30 - 14*h**5/5 - 8*h**4/3 - 2*h**2 - 1302*h. Factor p(j). j*(j - 2)*(j + 8)*(3*j + 2)**2 Find h such that -1/6*h**2 - 43/6 + 22/3*h = 0. 1, 43 Let f(h) = 14*h**3 + 314*h**2 + 156*h. Let l(j) = -j**3 - 14*j**2 - j. Let w(c) = f(c) + 12*l(c). What is z in w(z) = 0? -72, -1, 0 Let a = 29677 - 88189/3. Let p = a + -280. Factor p + 0*y**2 - 2/3*y**4 - 4/3*y + 4/3*y**3. -2*(y - 1)**3*(y + 1)/3 Let j(a) be the first derivative of a**6/2 - 69*a**5/5 + 249*a**4/2 - 272*a**3 - 1344*a**2 + 3072*a + 15. Determine u, given that j(u) = 0. -2, 1, 8 Solve 194*h - 1012*h + 3474*h + 1278 + 1175*h - 1044*h**2 + 1035*h**2 = 0. -1/3, 426 Let b be 2 + 0 - (-6 + (5 - 6)). Let j be (-14)/(-4) - b/6. Solve -3/7*q + 3/7*q**3 + 1/7*q**j - 2/7 + 1/7*q**4 = 0 for q. -2, -1, 1 Let w = 911 + -901. Suppose 2*a - 3*x + w = 14, -1 = a - 3*x. What is z in 0 + 0*z**4 + 0*z**2 - 1/3*z**3 + 0*z + 1/3*z**a = 0? -1, 0, 1 Let o(i) be the first derivative of i**6/3 + 362*i**5/5 - 183*i**4/2 - 362*i**3/3 + 182*i**2 + 1460. Determine p, given that o(p) = 0. -182, -1, 0, 1 Let f(k) = 4*k**3 - 2. Let g(u) = 21*u**3 - 135*u**2 - 290*u - 8. Let b(d) = 4*f(d) - g(d). Factor b(p). -5*p*(p - 29)*(p + 2) Solve -27543608 + 59*d**3 + 56739*d - 906*d**2 - 16*d**3 - 330351*d - 44*d**3 = 0 for d. -302 Let j(h) be the first derivative of -3*h**5/5 + 42*h**4 - 423*h**3 - 162*h**2 + 15228*h - 9107. Factor j(q). -3*(q - 47)*(q - 6)**2*(q + 3) Let l be (-8)/(-6) - 222/(-333). Let i(z) be the second derivative of -29*z - 4/3*z**l + 0 + 11/18*z**3 + 1/24*z**4. Factor i(d). (d + 8)*(3*d - 2)/6 Let g be (-4)/106 + (-9177)/(-3021). Let 2/21 + 2/3*y - 2/21*y**2 - 2/3*y**g = 0. What is y? -1, -1/7, 1 Let d(s) be the third derivative of s**5/12 - s**4/24 + 7*s**3/6 + 21*s**2. Let g be d(4). Let -g*c + 2*c**3 + c**3 + 110*c - 18*c**2 = 0. Calculate c. 0, 3 Suppose -2974*k - 13*k**2 + 8*k**2 + 2996*k - k**3 - 16 = 0. What is k? -8, 1, 2 Let m be 3/((-33660)/(-23936)*(-8)/(-6)). Factor -4*x + 16/5 + m*x**2 - 1/5*x**3. -(x - 4)*(x - 2)**2/5 Let k(y) be the second derivative of 4/5*y**5 - 3 + 2/15*y**6 + 0*y**2 + 0*y**3 - 2*y + 4/3*y**4. Factor k(l). 4*l**2*(l + 2)**2 Factor -400*j - 47 - 3804*j**4 + 3803*j**4 + 192*j**2 - 28*j**3 + 319. -(j - 2)**3*(j + 34) Suppose -j - 4 = -a, -13426*a + 13422*a + 18 = -3*j. Solve 1/4*b**j - 11/2*b + 121/4 = 0. 11 Let q = 1419 + -804. Suppose -85 + 18*r**2 + q*r + 259 + 13*r**2 - 10*r**2 = 0. What is r? -29, -2/7 Let 44/7*q - 2/7*q**2 + 46/7 = 0. What is q? -1, 23 Find c such that 1420/3*c - 112/3*c**2 - 3800/3 - 4/3*c**3 = 0. -38, 5 Let c be (-9 - 4)*(-7)/24 + (-235)/1880. Solve -c*x - x**2 + 4/3 = 0. -4, 1/3 Let x(d) be the second derivative of 67*d + 1/40*d**6 + 0 + 0*d**4 + 0*d**2 + 1/80*d**5 - 1/42*d**7 + 0*d**3. What is i in x(i) = 0? -1/4, 0, 1 Let z be 7 - -3*(-5)/15. Suppose 4*s - 22 = 7*k - z*k, 5*k - 5 = -3*s. Suppose 0*y - 2/3*y**4 + 2/3*y**3 + 2/9*y**s + 0 - 2/9*y**2 = 0. What is y? 0, 1 Suppose -6*c + 2288 = 2252. Let p(g) be the third derivative of -9/80*g**c - 22*g**2 + 0*g - 7*g**4 - 57/40*g**5 - 16*g**3 + 0. Factor p(k). -3*(k + 1)*(3*k + 8)**2/2 Let d(v) = -v**3 - 13*v**2 +
{ "pile_set_name": "DM Mathematics" }
*f - 135 = a, 8*f + 5*a - 291 = 4*f. What is the remainder when f is divided by 12? 9 Calculate the remainder when 131 is divided by 32 + (-4 - -3)*-7. 14 Suppose 9*r - 182 = 2*r. Let f be (1 - 1)/(4/2). Suppose 2*t + f*d = -3*d + 90, 2*t + 2*d - 94 = 0. What is the remainder when t is divided by r? 25 Calculate the remainder when 2353 is divided by 33*(-17)/(-935) + 144/10. 13 Suppose -5*f + 2*d + 6 - 1 = 0, -f - 22 = -5*d. Suppose -27 = -u - 3*q - q, u + f*q - 24 = 0. Calculate the remainder when u is divided by 8. 7 Suppose 4*o = -3*p + 193, 2*o = 3*p - p - 124. Suppose -z - 315 = -5*h, 4*h - 5*h = -3*z - p. Calculate the remainder when h is divided by 16. 15 Suppose 6*a - 80 = a. Suppose 3*f + f = 252. What is the remainder when f is divided by a? 15 Let i = -152 + 241. Let t = i - 40. What is the remainder when t is divided by 13? 10 Let w(q) = -q**2 - 12*q + 10. Let a(h) = h**3 + 11*h**2 + 19*h. Let r be a(-9). Calculate the remainder when 146 is divided by w(r). 35 Let i = -79 + 121. Let w be 1 - (9 + -4) - -8. Calculate the remainder when i is divided by -6*(1 + (-14)/w). 12 Let d be ((-10)/6)/((-2)/(-6)). Let l = -2 - d. What is the remainder when -4*(-5)/((-120)/(-18)) is divided by l? 0 Let s be (-2)/((-1)/13*2). Let t = 30 - s. Let w = 87 - 37. Calculate the remainder when w is divided by t. 16 Let s(q) = 10 - 9*q - 13*q - 5 + 7. Calculate the remainder when s(-2) is divided by 19. 18 Let u(w) = 124*w + 6. Calculate the remainder when u(1) is divided by 72. 58 Suppose 0 = -3*f - w + 3, -2*f = -4*w + 2*w + 6. Suppose f*i = 4*i - 32. Suppose k = -0*k - l + 18, 3*l = 12. What is the remainder when k is divided by i? 6 Suppose -10*b - 107 = -1137. Let w = b - 71. Calculate the remainder when 88 is divided by w. 24 Let h = -584 + 592. What is the remainder when 18 is divided by h? 2 Suppose -5*o = -4*o. Suppose o = -4*a + 26 + 86. What is the remainder when a is divided by 15? 13 Let v = -24 + 29. Suppose -3*b + g + 33 = 3*g, -55 = -v*b - g. Suppose -4*j = 5*n + b - 49, 3*j + 2*n - 32 = 0. Calculate the remainder when 46 is divided by j. 10 Let x = 485 - 502. Suppose 2*z - 2*a = -14, -5*z - a - 33 = -z. Let n = z - x. What is the remainder when 25 is divided by n? 7 Suppose 3*u - 8 = 4*h + 232, u - 3*h = 85. What is the remainder when u is divided by 5? 1 Let j be 3 + 0 + 2/1. Suppose 6 = j*m - 9. Calculate the remainder when (-195)/(-260)*156/9 is divided by m. 1 Suppose 5*t - 7*t = -54. Let y be 6/t + 358/9. Suppose 5*c - 10 = 0, 182 = 4*q + c - y. Calculate the remainder when q is divided by 19. 17 Let i = 683 - 667. Calculate the remainder when 108 is divided by i. 12 Suppose 55 = -2*n + 161. Calculate the remainder when 63 is divided by n. 10 Suppose 2*v - 205 = -3*p - 3*v, 2*v - 250 = -4*p. Suppose a - p = 18. Let s = a - 18. Calculate the remainder when s is divided by 16. 12 Calculate the remainder when 28 is divided by (30/(-5) - -9)/1. 1 Let y be -4 + (-88)/(-33)*54/8. Suppose -3*c - y + 101 = 0. What is the remainder when c is divided by 10? 9 Suppose 3*w - 16 = 2*w + 4*v, 2*v + 8 = 0. Suppose -k + 2*h + 3 = w, -8*h = -5*k - 6*h + 31. What is the remainder when 24 is divided by k? 3 Let i = 163 - 145. Calculate the remainder when 78 is divided by i. 6 Let s(t) = -t**3 - 2*t**2. Suppose -4*p + 4*y = 0, -2*y = 4*p + 2*y + 24. Suppose -5*z + 106 = -14. Calculate the remainder when z is divided by s(p). 6 Let r = -511 + 520. Let d be ((-4)/10)/((-2)/(-10)). What is the remainder when d/8 - (-274)/8 is divided by r? 7 Suppose 0 = -455*c + 439*c + 896. Suppose m + 1 = -0. What is the remainder when c is divided by ((-58)/(m - -2))/(-2)? 27 Let l = 209 - 123. Suppose k + 2*k = -u + 8, 4 = -3*k + 5*u. Suppose k*n - 4*n + l = 0. What is the remainder when n is divided by 9? 7 Suppose 9*b - 4*b - 3*g = 818, 4*b + g - 651 = 0. Let o(x) = -17*x - 1. What is the remainder when b is divided by o(-2)? 31 Let r = -48 + 73. Suppose 0 = -8*n + 13*n - 335. Calculate the remainder when n is divided by r. 17 Let c be 6/(-15) - (-51)/15. Suppose -r - 4*h - 367 = -6*r, -5*r + c*h + 364 = 0. What is the remainder when r is divided by 18? 17 What is the remainder when (-1 - 4)*-1 + -3 + 241 is divided by 49? 47 Let k(q) = q**2 + q + 1. Let o(g) = -2*g**2 - 5*g - 2. Let z(t) = 3*k(t) + o(t). What is the remainder when 13 is divided by z(4)? 4 Calculate the remainder when -5 - 0 - (-277 + 34) is divided by 5. 3 Suppose -20*d + 96 = 4*i - 24*d, d = 3*i - 68. Calculate the remainder when i is divided by 4. 2 What is the remainder when -3 - (-10 - -6) - -91 is divided by 19? 16 Let p = -102 + -204. Calculate the remainder when (p/(-27))/(2/9) is divided by 13. 12 Suppose 7*c = 13*c - 204. What is the remainder when c is divided by 14? 6 Let b be (854/6)/((-5)/15). Let i = -132 - b. Suppose 99 - i = -4*q. Calculate the remainder when q is divided by 25. 24 Suppose 2*r - 6 = b + 2*b, -10 = r + 5*b. Suppose r = -2*d + 62 + 108. Suppose -d = -4*g - g. Calculate the remainder when g is divided by 6. 5 Let n(q) = q**3 + 10*q**2 + 9*q + 7. Let f(b) = 4*b + 8. What is the remainder when f(1) is divided by n(-9)? 5 Suppose 0 = -4*l - 62 + 122. Suppose 4*y - 7 - 81 = 0. Calculate the remainder when y is divided by l. 7 Let j be -2 + (-656)/(-6) + (-2)/(-3). Suppose 3*n + 5*a - 155 = 0, 4*a - j = -2*n + 3*a. Calculate the remainder when 104 is divided by n. 49 Suppose 5*q = d - 0*d, 0 = -3*d + 3*q. Suppose d = -2*g - 4*x + 92 + 22, -5*g + x + 307 = 0. Calculate the remainder when 118 is divided by g. 57 Let l(z) = z**3 - 2*z**2 + 4*z - 4. What is the remainder when (6/4)/((-5)/(-50)) is divided by l(2)? 3 Suppose 0 = -2*r + 15*r + 130. What is the remainder when 15 is divided by 5/50*-4*r? 3 Let d = -369 - -417. Calculate the remainder when 75 is divided by d. 27 Suppose 0 = 5*v - u - 4*u - 95, -3*u - 79 = -4*v. Calculate the remainder when v is divided by 13. 9 Suppose h + 1 = 35. Suppose r = 4*x + 92, -3*x + 218 = 4*r - 188. What is the remainder when r is divided by h? 32 Suppose 48*f = 60*f - 1692. What is the remainder when 152 is divided by f? 11 Let r = -35 - -39. Let o be ((-42)/(-12))/(2/r). Suppose -4*d = 0, -4*p + o*p - 15 = 5*d. What is the remainder when p is divided by 2? 1 Let i be (-2)/3 - 2286/(-27). Suppose -3*q + i = 5*m - 8, 0 = -3*q + 12. Suppose 0 = -4*d + 5*d - 10. What is the remainder when m is divided by d? 6 Suppose -3*b = 12 - 30. Let y(f) = 10*f - 30. Calculate the remainder when 118 is divided by y(b). 28 Suppose 5*d - 111 = 34. What is the remainder when (-4)/(-10) + (403/5 - -4) is divided by d? 27 Suppose -4*w + 7 = -65. Let u be ((-10)/(-35))/((-6)/(-21)) - -2. Calculate the remainder when w is divided by u/(-4 - (-46)/10). 3 Suppose 3016 = 44*t + 14*t. Calculate the remainder when 257 is divided by t. 49 Let f(l) = -121*l - 60. What is the remainder when f(-4) is divided by 17? 16 Let g = 1761 - 743. What is the remainder when g is divided by 68? 66 Let h(i) = 3*i**2 + 7*i + 23. What is the remainder when 143 is divided by h(-3)? 27 Suppose -4*l + 2 + 6 = 0, -3*f + 2*l = -32. Calculate the remainder when 19 is divided by f. 7 Let s(l) = -5*l - 3. Calculate the remainder when -2 - (-1 + 2 - 133) is divided by s(-6). 22 Let s(h) = 2*h + 90. Let o be s(30). Suppose 5*w - 5*k - 571 = -236, 2*w = -2*k + o. Calculate the remainder when w is divided by 13. 6 Suppose -3*c = 2*y - 82, 0 = -3*c + 2*c. Suppose 3*k - 59 = -d, 420 = 4*d - 4*k + 104. Suppose 5*p + 4 = d. What is the remainder when y is divided by p? 13 Let g(f) = 2*f + 15. Let h(r) = r**3 - 8*r**2 + 10*r - 3. Calculate the remainder when h(7) is divided by g(-4). 4 Suppose 0 = -7*n + 702 - 79. Calculate the remainder when n is divided by 19. 13 Let l(b) = -2*b - 13. Let s be l(-8). What is the remainder when 2*1/s*3 - -33 is divided by 9? 8 Suppose 22 = -5*u - 2*h, 5*u - 2*h + 25 = 7. Let q be -3*(u/(-12) - 1). Suppose -q*c = 3*c - 175. Calculate the remainder when c is divided by 19. 16 Let x = 22 - 16. Suppose -r - 3*p + 6 = -3*r, -4 = -p. What is the remainder when x is divided by r? 0 Let z = 1 + 4. Let b(r) = -13*r - 49. Let k be b(-4). Suppose -30 = -2*t - 4*s - 2, 86 = k*t - 5*s. Calculate the remainder when t is divided by z. 2 Suppose -5*m - 3*d = -7*d - 115, 0 = 2
{ "pile_set_name": "DM Mathematics" }
ns digit of s? 1 Suppose 28 = 4*q - 4*z, 2*q - 6*q = -5*z - 31. What is the units digit of q? 4 Let c = -1 + 27. What is the units digit of c? 6 Let d(c) = c**3 + 10*c**2 - 15*c - 16. What is the units digit of d(-11)? 8 Let z(m) = -4*m + 1. What is the tens digit of z(-6)? 2 Let w(f) be the third derivative of -1/2*f**3 - 1/24*f**4 + 2*f**2 + 0*f + 1/120*f**6 + 0 + 1/10*f**5. What is the units digit of w(-6)? 3 Suppose -2*n + 4*c = -170, 2*c = -0 - 4. What is the tens digit of n? 8 Let g = 0 - 4. Let w = g - -12. What is the units digit of w*(-2 - 15/(-6))? 4 Suppose -2*t - 3*t + 80 = 0. Let l = 10 - t. Let w = l + 9. What is the units digit of w? 3 Let m = -4 - -9. Let i(a) = a**2 - 4*a + 2. Let z be i(m). What is the units digit of (z/(-14))/(1/(-14))? 7 Let j = 5 - 2. Suppose j = f + s, -f + 11 + 2 = -s. What is the units digit of f? 8 Suppose b - 224 = -5*z + 67, 0 = -5*z + 15. What is the units digit of b? 6 Let y(x) = 2*x - 7. Let p = 6 - 2. Let n be 5/p*(5 - 1). What is the units digit of y(n)? 3 Suppose 10 = 5*k - 135. What is the tens digit of k? 2 Let i = 172 - 110. What is the units digit of i? 2 Let f(i) = i**3 - i**2. Let x be f(-1). Let c = x + -2. What is the units digit of -4*(2 - (-15)/c)? 7 Let w(f) = 9*f**2 + f + 7. What is the units digit of w(-2)? 1 Let b be (3 - -2) + -2 + 2. Suppose c - 12 = -3*c + 4*h, -3*c - b*h + 17 = 0. Suppose 0 = -c*i + 7 + 1. What is the units digit of i? 2 Suppose 3*n - 420 = -63. What is the tens digit of n? 1 Suppose -5*v - u + 36 - 13 = 0, 27 = 3*v + 5*u. Suppose 0 = -w - 2*h + 16, -v*h = -3*w - 0*w + 18. What is the tens digit of w? 1 Let l = 155 + -73. What is the units digit of l? 2 What is the units digit of -3 + 0/2 + 32? 9 Suppose -5*h + 52 - 17 = -4*v, 24 = -3*v + 3*h. What is the units digit of (-2)/5 + (-127)/v? 5 Suppose 5*s = -3*w + 719, 3*w + s - 682 = 33. What is the hundreds digit of w? 2 Suppose c + 2*c = 144. What is the tens digit of c? 4 Suppose -j = 3*j - 8. Suppose 3*y - 16 = -4*m, -7 = j*y - 3*y - 3*m. What is the units digit of y? 4 Let i(v) = v**3 + 3*v**2 - 5*v - 5. Let o be i(-4). Let y = o - -8. What is the units digit of y? 7 Suppose 4 = r - 2*q - 14, -5*q + 10 = 3*r. What is the units digit of r? 0 What is the units digit of ((-4)/(-6))/(1/87)? 8 Let u be (-1 + -2)/(1/2). Let l be (u/(-4))/((-3)/(-6)). Suppose l*n = 5*i + 39, -5*i - 37 = -2*n - 6. What is the units digit of n? 8 Suppose -14 = -4*t + 6. What is the units digit of t? 5 Let y = -34 - -55. Let v = y + -8. What is the units digit of v? 3 Suppose -11 = -4*s - 43. Let y(c) = c - 3. Let t(n) = 4*n - 8. Let k(h) = s*y(h) + 3*t(h). What is the units digit of k(2)? 8 Suppose -3*n - 2*a = -0*n + 8, -3*a - 12 = 0. Suppose n = -y + 5*y. Let o = 4 + y. What is the units digit of o? 4 Let n(d) = 4*d + 10. Let f(v) = -v - 1. Let m(a) = 3*f(a) + n(a). What is the tens digit of m(5)? 1 Suppose 52 + 18 = g + 4*w, -5*g + 350 = -2*w. What is the units digit of (-2)/(-10) + 56/g? 1 Suppose -2 = -3*j + k, 1 + 5 = 5*j - 3*k. Suppose m = -2*f - j*m + 30, -f + 5*m = -37. What is the tens digit of f? 1 Let g = -204 + 302. What is the tens digit of g? 9 Let k = -5 + 87. What is the tens digit of k? 8 Let k(j) be the first derivative of j**4/4 - j**3/3 - j**2 + 2*j - 3. Let d be k(2). Suppose -5*f + 64 = d*p, p - 2*p + 62 = 5*f. What is the units digit of f? 2 Let r be -2*(1 - 14/4). Let f(z) = -4 - r + 0 + 1 + 2*z. What is the units digit of f(7)? 6 Suppose 2*n - 50 = 3*u, -u = -5*n + 134 - 9. What is the units digit of n? 5 Let s(j) = j**3 - j**2 - j + 19. Let t(u) = -u**3 + 10*u**2 - u + 10. Let z be t(10). What is the units digit of s(z)? 9 Let q be 2*-2*3/(-6). What is the units digit of (15/q - -1)*2? 7 Let s = 20 + -30. Let a = 6 + s. What is the units digit of ((-2)/a)/(4/40)? 5 Let c = -20 - -39. What is the units digit of (-1 - 1)*c/(-2)? 9 Suppose 3*n + 23 = 2*g + 93, -5*n + 3*g = -115. What is the tens digit of n? 2 Let a be 1/(-2)*-2 + -1. Let y be a - 0 - (1 - 3). Suppose -g + 9 = i, -y*g = -i + 4*i - 20. What is the units digit of g? 7 Let b(s) = -3*s + s + s - s**2 - 3*s. Let i be b(-4). Suppose -x = -3*m + 12, i = x + 2*x. What is the units digit of m? 4 Let p be 1/(-2) + (-36)/8. Let g(l) = -l**2 - 6*l + 1. What is the units digit of g(p)? 6 Let r(n) = -n**3 + 18*n**2 + 3*n - 2. What is the units digit of r(18)? 2 Suppose -2*y - 3*n - 19 = 0, 2*y + 32 = -y - n. Let b = y + 30. What is the tens digit of b? 1 Suppose 0 = 4*k - 4 - 8. Suppose -2 = 2*y + 2. Let p = k + y. What is the units digit of p? 1 Suppose -8 = -f - 5. Suppose -2*x = 3*z - 37, 0*x - 2*x + 31 = -f*z. What is the tens digit of x? 1 Suppose 0 = 4*a - 2*b - 2, -a - 3*b - 3 = -14. What is the tens digit of ((-26)/6)/(a/(-6))? 1 Suppose -2*i + 3*i - 6 = 0. Suppose -11*n + 70 = -i*n. What is the units digit of n? 4 Suppose 3*o + 0*p = p - 19, -2*o - 31 = 3*p. Let x(m) be the second derivative of m**4/12 + 4*m**3/3 + 5*m**2 - 2*m. What is the units digit of x(o)? 0 Suppose -d + 164 = 4*j - 0*d, 3*d + 148 = 4*j. What is the tens digit of j? 4 Let a = 86 - 71. What is the units digit of a? 5 Let z(i) = i + 1 + 0 + 4 - 2. Suppose -4*p - p = -25. What is the units digit of z(p)? 8 Suppose o - 4*o - 10 = -w, 4*w = -2*o + 40. Suppose v = -v - w. Let h = -3 - v. What is the units digit of h? 2 Let p(k) = 2*k**2 + 3*k - 1. Let l be p(3). What is the units digit of 108/l + 2/(-13)? 4 Let t be (-3)/9 - 2/(-6). Suppose -j + 4*j + 27 = t. Let v = 14 + j. What is the units digit of v? 5 Let j(h) be the first derivative of 1 + 1/2*h**2 - 5*h. What is the units digit of j(6)? 1 Let p be ((-1)/2)/((-3)/42). Suppose p*h - 15 = 2*h. Suppose -2*f = -3*f + h. What is the units digit of f? 3 Suppose -2*z = -1 - 3. Suppose -3*r = -r - z. What is the units digit of (-12*6/(-9))/r? 8 Suppose -t + 3*z - z = -3, t - 4*z - 3 = 0. Let l be ((-20)/(-15))/((-4)/(-18)). What is the units digit of 0 - (-1)/(t/l)? 2 Suppose 3*m = -32 + 134. What is the tens digit of m? 3 Suppose 23 = 5*a - 7. What is the units digit of a? 6 Let p(a) = -2*a**3 - 7*a**2 - 5*a. Let d be p(-5). What is the units digit of 2/(-6) - d/(-12)? 8 Suppose 2*k = -3*h - h - 24, -16 = -4*k. What is the units digit of (h/(-10))/(1/5)? 4 Suppose 2*a - 5 = 5. Let x = -1 + a. Suppose -4*c = 3*b - 8, 0 = 4*b - 5*b - x*c - 8. What is the units digit of b? 8 Let q(s) = -s**3 + 5*s**2 + 4*s + 6. Let i be q(6). Let b be (33/(-12))/((-1)/4). Let d = i + b. What is the units digit of d? 5 Suppose -30 = -3*l + 3*k, -3*l + 0*k = k - 10. Suppose l*p - 70 = 35. What is the tens digit of p? 2 Let l = -25 - -60. Suppose 15 = -2*x + l. What is the units digit of x? 0 Let i(y) = y**3 - y**2 - y + 1. Let n = -2 - -2. What is the units digit of i(n)? 1 Let g = -1 + 1. Suppose g = 3*k + 2*p + 28, 4*k + p = -26 - 3. Let w(x) = -x - 5. What is the units digit of w(k)? 1 Let l(d) = -d**3 + 11*d**2 - 13*d - 1. Let c be l(9). Suppose 4*q - 2*q - c = 0. What is the tens digit of q? 2 Suppose 11*v - 788 = 224. What is the units digit of v? 2 Let h = -4 + 6. Let k be (16/(4/h))/2. Suppose -i + 53 = 6*n - 2*n, 4*i = k. What is the units digit of n? 3 Let v be 169/4 + (-1)/4. Suppose v + 10 = 4*g. What is the units digit of g? 3 Let t(o) = 3*o - 12. Let n be t(8). Suppose a + 5*i = -23, i = 4*a + 5*i + n. Suppose 0 = a*s + 3*s - 25. What is the units digit of s? 5 Let d(a) = -2*a + 3. What is the units digit of d(-13)? 9 Let p = 19 + -16. Suppose k + 10 = -5*l + 71, 0 = p*k + 2*l - 144. What is the tens digit of k? 4 Let s = -18 - -83. What is the units digit of s? 5 Let g(s) = 208*s**2 - s + 2. What is the hundreds digit of g(1)? 2 Suppose 5*j - 2*n = -0 + 1, -4*j = 2*n - 8. Suppose -f + j = -a, 2*f + f = 4*a + 3. What is the tens digit of 13*1 - (0 + a)? 1 Let p(g) = g - 5. Suppose -4*u = -u - 45. Let k = -5 + u. What is the units digit of p(k)? 5 Let w(h) = 3*h**2 + 2*h + 3. What is the units digit of w(3)? 6 Suppose b - 2*s = 178, 4*s = 2*s. What is the units digit of b? 8 Let v = 16 + 2. What is the tens digit of v? 1 Let a(u) = -u + 8. Let b be a(8). Suppose 0 = -h - 3*h + 4*c, c = b. Suppose 3*d + 0*d - 9 = h. What is the units digit of d? 3 Let w = 10 + -5. Suppose -58 = -w*t + 22. What is the tens digit of t? 1 Let x be -3 + (-1 -
{ "pile_set_name": "DM Mathematics" }
). 5*sqrt(11)/6 Simplify 3*(((sqrt(110) + sqrt(110)*-4)*-3 + (sqrt(110) - ((sqrt(110) - sqrt(110)*-1)*3 - sqrt(110))))/(sqrt(100)/(-6*sqrt(40)/sqrt(4) + sqrt(10))*3))**2. 6875/3 Simplify (2 + (1 + sqrt(847) + -1 + sqrt(847) - 3*(sqrt(847) + 1 + sqrt(847))) + (sqrt(847) + sqrt(847)*-1 + 2)*-6 + 2)**2. 968*sqrt(7) + 13673 Simplify 2 + (-4*(3 + 6*-2*sqrt(847) + ((sqrt(847) + -1)*3 - sqrt(847) - sqrt(847)) + 0 + (sqrt(847)*1 + sqrt(847) + sqrt(847) + -3 - sqrt(847))))**2. 9504*sqrt(7) + 1097858 Simplify (-3*sqrt(42)*-1 - sqrt(294)/(sqrt(700) + sqrt(7)))/(sqrt(6) - sqrt(36)/(sqrt(6) + sqrt(864)) - -2*sqrt(150)). 208*sqrt(7)/781 Simplify (3 + (sqrt(1620) + -2)**2*-2 - ((4 + -2*sqrt(1620) + sqrt(1620) + sqrt(1620))**2 + 0)) + 3. -3258 + 144*sqrt(5) Simplify (-1*(sqrt(220) + 4*-1*sqrt(220)))/(-2*-2*(sqrt(5) - (-2*sqrt(5) + sqrt(5)))). 3*sqrt(11)/4 Simplify (-3*sqrt(832)*-6 - sqrt(832))**2 + (5*(sqrt(832) + 2) + sqrt(832))**2 - ((sqrt(156)*-2)/(sqrt(75)*5))**2. 960*sqrt(13) + 169062292/625 Simplify (3*sqrt(288)/sqrt(4))**2 + (1*sqrt(2200))/(sqrt(33)/(sqrt(15)/sqrt(5))). 10*sqrt(2) + 648 Simplify 3 + ((5*sqrt(180) - (sqrt(45) - sqrt(2205))*-6)/(sqrt(36)/(sqrt(4)*-2) - (-2*sqrt(441) - sqrt(441))))**2. 18563/1681 Simplify ((3*(sqrt(120) - sqrt(120)*-3))/sqrt(5))/(sqrt(72)*4*6). sqrt(3)/6 Simplify ((((sqrt(528) + 1*sqrt(528))/sqrt(12))/((sqrt(220)/sqrt(4))/sqrt(5)))/((-4*-1*sqrt(4))/(-6*sqrt(8))))**2. 72 Simplify 4 + -2*2*sqrt(19) + ((1*sqrt(190))/sqrt(10) + sqrt(19))**2 - (-5 + sqrt(684) + (sqrt(684) - sqrt(684)*1*6))*-2. -52*sqrt(19) + 70 Simplify 4*(1*(2 + sqrt(1700)) + 2) - -5*(sqrt(204)*2*5)/(sqrt(108) + -2*sqrt(108)). 16 + 70*sqrt(17)/3 Simplify -3*(-1 + (2*(-5*(-4 + -2*sqrt(252)) + 3))**2 + 1). -308748 - 33120*sqrt(7) Simplify ((sqrt(228) + 1*sqrt(228) - sqrt(228))*2 - (sqrt(228) + 4*sqrt(228)*1 + sqrt(228)))/(6*3*(sqrt(48)*2 + sqrt(48))). -sqrt(19)/27 Simplify 5 + (sqrt(102)*-5*4 - sqrt(102) - sqrt(102) - sqrt(102))/(6*sqrt(600)) + 3. -23*sqrt(17)/60 + 8 Simplify -3 + sqrt(7)*-2 - (3 + sqrt(7) + -4) - (sqrt(70)/sqrt(10) + 3 + sqrt(7) - (-4 + (sqrt(7) - sqrt(7)*3))). -7*sqrt(7) - 9 Simplify (2*(-3 + (1*sqrt(567) + sqrt(567) + sqrt(567))*6 - (1 + ((1*sqrt(567) + sqrt(567))*-5 - sqrt(567))))*4*-3)**2. -1202688*sqrt(7) + 274673088 Simplify (((sqrt(200)*2*6)/(sqrt(10) - sqrt(10)*1*-4))/(((sqrt(100) + sqrt(100)*2)*-4 - sqrt(100))*6))**2*5. 4/4225 Simplify 5*(1*sqrt(170)*3*4)/(-5*(((sqrt(250) - (sqrt(250)*1 - sqrt(250))) + sqrt(250) - sqrt(250)) + sqrt(250))). -6*sqrt(17)/5 Simplify -5 + (sqrt(2400)*2 - sqrt(24))/(sqrt(48)*6) + ((-1 + sqrt(2) + sqrt(10)/sqrt(5) + sqrt(2))**2 - (sqrt(2) + sqrt(22)/(sqrt(11)*-3))) + -1. -61*sqrt(2)/12 + 13 Simplify -1*(-3 + -1 + sqrt(363) + -1 + sqrt(363))**2 - ((-1*sqrt(120) + sqrt(120) + sqrt(120))/sqrt(10) + (-6*sqrt(3)*-1*-6)**2). -5365 + 218*sqrt(3) Simplify -5 + ((sqrt(70) + -1*sqrt(70)*-2)*-2)/((-2*sqrt(1000) + sqrt(1000))*-4). -5 - 3*sqrt(7)/20 Simplify -6*(3*sqrt(126)*-2 + -1*sqrt(126)*-5)/(sqrt(22)/sqrt(176) - 2*sqrt(128)). -8*sqrt(7)/7 Simplify (1*1*sqrt(63))**2 + (((2*sqrt(448))**2 - sqrt(448) - sqrt(448)) + 4 + sqrt(448) - sqrt(448)) + (4 + -6*(sqrt(252) + -4*(sqrt(252) + 1)))**2. 6032*sqrt(7) + 84291 Simplify ((1*sqrt(306) - sqrt(306)) + (-1*sqrt(272))/sqrt(8))/((sqrt(18) - 5*(sqrt(288) - sqrt(18)))/((sqrt(81)*-1)/sqrt(9))). -sqrt(17)/14 Simplify -4 + (0 + 0 + sqrt(304) + sqrt(304)*-1 + (3*sqrt(304) + 2 - sqrt(304)) + -3)**2*4. -64*sqrt(19) + 4864 Simplify -6*-6*(-6*sqrt(136)*1 - 1*sqrt(136)*-4)/(sqrt(288) + 2*sqrt(288)*-1). 12*sqrt(17) Simplify (1*sqrt(150)/sqrt(5)*2)/(-1*(sqrt(96)*-3 + sqrt(96)) + sqrt(96)) + 5. sqrt(5)/6 + 5 Simplify (-2 + -4*(2 + (5*(sqrt(288)*-1 + sqrt(288) - sqrt(288) - sqrt(288)) - (-1*sqrt(288) + 2)) + -2))**2 + -1. 5184*sqrt(2) + 373283 Simplify (4 + ((-1*sqrt(196)*3 - sqrt(196))/sqrt(7))/(4*(-2*sqrt(484) + sqrt(484) - sqrt(4))))**2*4. 8*sqrt(7)/3 + 2311/36 Simplify ((4 + sqrt(245) + 1 + 1 + sqrt(245) + sqrt(245) + -1 - (2*(sqrt(245) + 1 + sqrt(245) + sqrt(245)) - ((sqrt(245)*-2 - sqrt(245)) + -5))) + 5 + -1)**2. -168*sqrt(5) + 8824 Simplify (5 + 3 + sqrt(1568) + 2)*-2 + 1 + -4. -56*sqrt(2) - 23 Simplify (((-1 + sqrt(1088) + sqrt(204)/(sqrt(24)/sqrt(2)))*-2)**2 - (2 + (-2*sqrt(2057) - (sqrt(17) + 1)*6)**2)) + 3. -7851 - 408*sqrt(17) Simplify -5 + 4*(((sqrt(126) - ((sqrt(126) - 2*sqrt(126)) + sqrt(126) - sqrt(126)))*-6)/sqrt(9))/(2*sqrt(252) + sqrt(175) + (sqrt(175) - 2*sqrt(175))). -4*sqrt(2) - 5 Simplify (sqrt(637) + -4*(sqrt(637) + sqrt(637) + 0) + 4*1*sqrt(637) + sqrt(637))**2 + (-2*(sqrt(637) - (sqrt(637) + 0 + -4)))**2 + -5 + -3 + -4. 2600 Simplify 3*(((sqrt(132)*-1 + sqrt(132))*4 - sqrt(132) - sqrt(132))/(sqrt(48)/sqrt(4)*4) + ((sqrt(1331) + -1)**2 - ((1*sqrt(11) - sqrt(11)) + -5)))*-3. -12033 + 405*sqrt(11)/2 Simplify (0 + -5 + sqrt(14)/sqrt(2))*-6 + (-5 + sqrt(7)*-1 + 5)*-3. -3*sqrt(7) + 30 Simplify ((sqrt(1080)*1 - sqrt(1080) - sqrt(1080))*-2)/(sqrt(30)/(sqrt(3)*2*-3 + sqrt(3))) + 4 + -2. -60*sqrt(3) + 2 Simplify (sqrt(432)*-1 + 5)*5 + 0 + (3 + sqrt(36)/(-2*sqrt(12) + sqrt(12)) + (-2 + sqrt(3)*2)**2)*1. -69*sqrt(3) + 44 Simplify ((sqrt(119)*1 + sqrt(119) + sqrt(119))*6 - sqrt(119)*2*2)/((-4*(sqrt(84) + -2*sqrt(84) + sqrt(84) + sqrt(84)))/(sqrt(96)/(sqrt(8)*1))). -7*sqrt(17)/2 Simplify -5*((sqrt(228) - (sqrt(228)*4 - sqrt(228))*5)/sqrt(6))/(sqrt(16)/(sqrt(64)/sqrt(8)*3)). 210*sqrt(19) Simplify -3*sqrt(77)/((-2*sqrt(33))/sqrt(3)) + 0 - (((sqrt(252) - sqrt(252)*-2*-3) + 5*(sqrt(252) + 0 - sqrt(252)))*-4)**2. -100800 + 3*sqrt(7)/2 Simplify ((((2*sqrt(228)*-6)/sqrt(6))/(sqrt(6)/(sqrt(3)*-2)*6) + 2)*-2)**2. 64*sqrt(19) + 1232 Simplify ((sqrt(2548) - -3*sqrt(2548)*2 - sqrt(2548)*2*5)/((4*sqrt(36) - sqrt(4)) + sqrt(8)/sqrt(2)*-4))**2. 117 Simplify (sqrt(1216) + -1 + 1*sqrt(1216) + sqrt(1216) - (-4*(1 + sqrt(1216)) + sqrt(1216)))**2 - (-3 + -1*sqrt(1216) - ((sqrt(1216)*-2 - sqrt(1216)) + -4)**2). 488*sqrt(19) + 54748 Simplify (-1*(sqrt(70) + sqrt(70)*1) - sqrt(70) - sqrt(70))/(1*-2*sqrt(10)) - (1*(sqrt(175) + 3) + 5). -8 - 3*sqrt(7) Simplify (sqrt(34)/(sqrt(32) + sqrt(2)) + sqrt(1088) + 5 - (5 + -3 + sqrt(34)/sqrt(2))*4)**2. -126*sqrt(17)/5 + 7722/25 Simplify ((sqrt(114)*-1*-5 + (sqrt(114)*1 - sqrt(114))*-2)/((sqrt(726)*-1 - sqrt(726)) + -2*-1*sqrt(6)) + 4)**2. -2*sqrt(19) + 275/16 Simplify (-4*((sqrt(104) + -2*sqrt(104))*-6 - (sqrt(104) - sqrt(104)*-2)*3))/((sqrt(8) + sqrt(16)/sqrt(2)*5 - sqrt(128)*-5)*3)*-5. -10*sqrt(13)/13 Simplify -2*(-3*sqrt(700) + 1) + 2*(sqrt(700) - (sqrt(700) - (sqrt(700)*4 - sqrt(700)) - sqrt(700)))**2*-2. -44802 + 60*sqrt(7) Simplify (((sqrt(154) + sqrt(154) + sqrt(154)*-2 + sqrt(154) + sqrt(154) + sqrt(154))*-4)/(5*sqrt(33)/sqrt(3)))/(-4*(2*sqrt(200) + sqrt(2))*-5). -sqrt(7)/175 Simplify ((sqrt(672)/(sqrt(12)*2))/sqrt(4)*-3)/((sqrt(162) - 4*sqrt(162) - sqrt(162)) + (sqrt(2) - (sqrt(2) + sqrt(18)))*3). sqrt(7)/30 Simplify ((sqrt(104) + -4*sqrt(104)*-6)*-4)/(sqrt(8) + sqrt(32)/(sqrt(4)*-1) - (sqrt(288) + (sqrt(288) - -2*sqrt(288))))*-5. -125*sqrt(13)/6 Simplify 1 + (-4 + -2*sqrt(208) + -3 + 3 + -6*2*sqrt(208)*1)**2. 448*sqrt(13) + 40785 Simplify 3*((-6*(sqrt(85)*-2 + sqrt(85)))/sqrt(180) - (-6*(-5 + (5*(sqrt(17) + -1) - sqrt(17))))**2). -40176 + 8643*sqrt(17) Simplify -3 + 3 + ((3*(sqrt(170) - (sqrt(170) - (sqrt(170) - (sqrt(170) + (sqrt(170)*2 - sqrt(170))))))*3)/((-2*sqrt(110)*4)/sqrt(11)))**2. 1377/64 Simplify ((-2 + sqrt(112))**2 + sqrt(112))*6 + (sqrt(112) + -2 - sqrt(112))*-4 - (-4 + sqrt(112)*1 + -2)**2*-2. -168*sqrt(7) + 1000 Simplify -3*((((sqrt(243) + 0)*2)**2 - sqrt(243))*-4 - ((6*sqrt(243)*-2 - sqrt(243))*3)**2) + 1. -108*sqrt(3) + 1120474 Simplify (sqrt(204)/((-1*sqrt(108) + sqrt(108))/sqrt(9) + sqrt(12)) - 1*(-5*sqrt(68))**2)*-2 + 2. -2*sqrt(17) + 3402 Simplify ((sqrt(6) + 1*sqrt(294) + sqrt(294) + sqrt(294)*-2)*3)/((sqrt(8) - (sqrt(8) - sqrt(96)/(sqrt(48)/sqrt(4))))/(-1*sqrt(4)*4)). -12*sqrt(3) Simplify -3 + (4*(sqrt(190) - (-1*(sqrt(190) - -2*sqrt(190)) - sqrt(190))))/(-3*-3*sqrt(10)*6)*-3. -10*sqrt(19)/9 - 3 Simplify (sqrt(8)/(sqrt(4) - -6*sqrt(12)/sqrt(3)) + ((-4 + sqrt(8)/sqrt(4) - sqrt(2))**2 - (sqrt(2) + (sqrt(24) - -1*sqrt(24))/sqrt(12))))*-2. -32 + 40*sqrt(2)/7 Simplify 1*((sqrt(20) - (-2*sqrt(180) + sqrt(180))/sqrt(9))/((sqrt(160)
{ "pile_set_name": "DM Mathematics" }
erms in 335*t**2 - 1 - 15*t**2 + 114*t**2 - 6807*t. 434*t**2 - 6807*t - 1 Collect the terms in -2847 - 9*f**2 + 2847 + 22*f. -9*f**2 + 22*f Collect the terms in 33544*x + 5823*x + 7629*x. 46996*x Collect the terms in 43*y**2 + 24515191*y**3 - 33*y**2 - 24515189*y**3 - 10*y**2. 2*y**3 Collect the terms in -2717*d + 5562*d - 2843*d. 2*d Collect the terms in 665*s**3 + 1038*s**3 + 13*s**3 + 103*s**3. 1819*s**3 Collect the terms in 13303*g**2 - 13303*g**2 + 77*g**3 - 45*g**3. 32*g**3 Collect the terms in 122*x + 80*x + 222*x - 739*x + 100*x. -215*x Collect the terms in -5434*s + 654 + 650 - 1307. -5434*s - 3 Collect the terms in -61448*j**3 - 2978*j**2 + 2978*j**2. -61448*j**3 Collect the terms in 210*f + 13*f + 10781 - 27*f - 10781. 196*f Collect the terms in -23114*l + 834988 - 482*l - 834988. -23596*l Collect the terms in -13 + 38 - 25 + 2512*i + 0. 2512*i Collect the terms in 45*g**2 - 11510*g + 39487*g - 27977*g - 44*g**2. g**2 Collect the terms in 17*h**3 - 8*h**3 + 579*h**2 - 6*h - 15*h**3 + 67*h**2. -6*h**3 + 646*h**2 - 6*h Collect the terms in 191181*d**3 - d**2 + 3*d**2 + 0 - 3*d**2 + 1. 191181*d**3 - d**2 + 1 Collect the terms in -136023*o - 138*o**2 - 136030*o + 272053*o. -138*o**2 Collect the terms in -18 - 3 + 47*t - 1 + 19 + 4. 47*t + 1 Collect the terms in 2187*s - 1357*s + 7944*s + 13. 8774*s + 13 Collect the terms in 1 - 114338*y - 47*y**2 - 35745*y - 89037*y. -47*y**2 - 239120*y + 1 Collect the terms in 33086182336*l + 25*l**2 - 33086182336*l. 25*l**2 Collect the terms in -2820*z**2 + 11277*z**2 - 2815*z**2 + 4*z**3 - 2825*z**2 - 2817*z**2 + 4*z**3. 8*z**3 Collect the terms in -6*r**2 + 410 - 2*r - 4264*r**3 + 2*r - 411. -4264*r**3 - 6*r**2 - 1 Collect the terms in 3*i - 47995790 - 3*i**2 - 3*i + 47995790. -3*i**2 Collect the terms in 11*n**3 + 708*n**2 - 708*n**2 - 374*n + 837*n - 463*n. 11*n**3 Collect the terms in -1 - j**2 - 60103*j + 1 + 60834*j. -j**2 + 731*j Collect the terms in -523 - 389 + 77*v + 912. 77*v Collect the terms in -1637*q**3 + 634*q**3 + 1008*q**3. 5*q**3 Collect the terms in -30621*t + 10199*t - 36 + 10206*t + 10218*t. 2*t - 36 Collect the terms in -1699*c + 5351*c - 1936*c - 1721*c. -5*c Collect the terms in -193*k**3 - 366 + 366 - 138*k**3. -331*k**3 Collect the terms in 9*m - 26281558*m**3 - 9*m + 26281530*m**3. -28*m**3 Collect the terms in 55*v - 18*v - 43*v - 3313. -6*v - 3313 Collect the terms in 701 - 2742 + 701 + 634 - 324*g**2 + 706. -324*g**2 Collect the terms in 4*x**2 - 2 - 20*x - 12 - 1 + 6. 4*x**2 - 20*x - 9 Collect the terms in 17*u**2 + 7*u - 7*u + 31*u**2 - 2*u - 101*u**2 + 24*u**2 + 24*u**2. -5*u**2 - 2*u Collect the terms in 9608308*x - 9604727*x + 2 - 4. 3581*x - 2 Collect the terms in 500*w**2 - 1462*w**3 + 754*w**3 + 505*w**2 - 1005*w**2 + 719*w**3. 11*w**3 Collect the terms in 100 + 110 - 373 + 54*z + 112 - 76*z + 51. -22*z Collect the terms in -61*p + 12*p - 56*p + 2180*p**2 - 63*p + 168*p. 2180*p**2 Collect the terms in 2*j**3 + 227408216 + 6*j**2 - 11*j - 227408216 - 23*j**2. 2*j**3 - 17*j**2 - 11*j Collect the terms in -259*i**2 + 135*i**2 - 2648*i**2. -2772*i**2 Collect the terms in -5381*t**2 - 1490*t**2 - 4125*t**2 - 12712*t**2 - 938*t**2. -24646*t**2 Collect the terms in -1082*h + 291*h**3 + 24*h**2 + 231*h**3 - 24*h**2 - 524*h**3 + 1082*h. -2*h**3 Collect the terms in 152*z + z**2 + 4 + 54*z - 1400*z. z**2 - 1194*z + 4 Collect the terms in -99 - 118358*f + 99. -118358*f Collect the terms in 2603*j + 52639*j - 3368*j + 123389*j. 175263*j Collect the terms in -2274 - 975 + 3249 + 126*g**3. 126*g**3 Collect the terms in -17148 + 96174 - 7*r + 11*r + 6*r. 10*r + 79026 Collect the terms in 9*r - 486 - 523 - 485 + 1972 - r - 483. 8*r - 5 Collect the terms in 11*x - 604 - 609 - 46*x + 1825 - 612 - 222*x. -257*x Collect the terms in -2860103*b - 27*b**3 - 2860091*b + 5720194*b. -27*b**3 Collect the terms in -5 + 20 - 15 - 6183605*x. -6183605*x Collect the terms in -59640*b - 59618*b + 119176*b. -82*b Collect the terms in 113*h**2 + 10*h**3 + 3 - 52*h**2 - 50*h**2 - 29. 10*h**3 + 11*h**2 - 26 Collect the terms in -1008 - 104*z - 5*z - 548. -109*z - 1556 Collect the terms in 5647831764*w**3 - 5647831770*w**3 + 0*w**2 + 7*w**2. -6*w**3 + 7*w**2 Collect the terms in 331 + 273 - 9*b**2 - 78*b**2 + 248 - 852. -87*b**2 Collect the terms in 306*g**3 - 502*g**3 + 199*g**3 - 32*g**2. 3*g**3 - 32*g**2 Collect the terms in 201*t**3 + 0*t**2 + 9*t - 7*t + 0*t**2 - 368*t**3 + 217*t**3. 50*t**3 + 2*t Collect the terms in 112*i + 2 - 319*i - 367*i. -574*i + 2 Collect the terms in 132*m + 2156 - 507 - 544 - 551 - 554. 132*m Collect the terms in -20232340321 - 2*b + 20232340316 + 0*b. -2*b - 5 Collect the terms in 103*x + 55*x + 132*x + 5*x**2 + 1 - 290*x. 5*x**2 + 1 Collect the terms in -4152489696510 + z**3 + 4152489696510. z**3 Collect the terms in 796*p - 1355*p + 872*p - 2 + 2. 313*p Collect the terms in 5139*v + 3346*v + 2276*v + 655*v - 1. 11416*v - 1 Collect the terms in -522114*o**2 - 2 + 1044455*o**2 - 522304*o**2 + 2. 37*o**2 Collect the terms in -5 + 5 - 40653*t - 34*t**3 + 40653*t. -34*t**3 Collect the terms in -8 - 16 + 17 + 89*r - 10 + 3. 89*r - 14 Collect the terms in -15*h + 67*h**2 + 35*h + 54*h**2 - 20*h - 196*h**2. -75*h**2 Collect the terms in -16 - 34*g**2 - 511 - 103. -34*g**2 - 630 Collect the terms in -1234*z**3 - 1678*z**3 + 2907*z**3. -5*z**3 Collect the terms in 8375*s**2 - 2*s - 15*s + 33*s - 16*s. 8375*s**2 Collect the terms in -11198194*p + 11198194*p + 42*p**3. 42*p**3 Collect the terms in -88155064*s**3 + 88155055*s**3 + 12 - 12. -9*s**3 Collect the terms in 23824 - 23824 + 1205*j. 1205*j Collect the terms in -26*h + 10*h - 29*h + 84 - 87 + 7*h. -38*h - 3 Collect the terms in 1176903*b**2 + 1258*b - 1258*b. 1176903*b**2 Collect the terms in 751*i**2 + 8424992*i - 749*i**2 - 8425001*i. 2*i**2 - 9*i Collect the terms in -605544*m + 605544*m + 311*m**3. 311*m**3 Collect the terms in 1306*o + 1415*o - 65 - 2728*o + 65. -7*o Collect the terms in -43 + 273 + 27 - 100*y + 13*y + 86*y. -y + 257 Collect the terms in 5204*n - 8 + 9 - 77*n - 1. 5127*n Collect the terms in f**3 + 1990*f**2 + 248 - 3993*f**2 + 1990*f**2. f**3 - 13*f**2 + 248 Collect the terms in -66*s**2 - 41*s**2 - 65*s**2 + 127*s**2 + 45*s**2 + 72*s**3. 72*s**3 Collect the terms in -572*n**2 - 327*n**2 - 97 + 97 - 309*n**3. -309*n**3 - 899*n**2 Collect the terms in 162*k**2 - 76 + 3*k + 252*k**2 - 392*k**2. 22*k**2 + 3*k - 76 Collect the terms in -7945*v - 10251 + 10251. -7945*v Collect the terms in 10 - 250*c**2 + 508*c**2 + 15*c - 17*c - 251*c**2. 7*c**2 - 2*c + 10 Collect the terms in -319808582*o**3 + 639617182*o**3 - 319808584*o**3. 16*o**3 Collect the terms in 3*s + 38723 + 26*s - 38726. 29*s - 3 Collect the terms in 361*p**2 + 1875*p**2 + 702*p**2 + 386*p**2. 3324*p**2 Collect the terms in -909*a**2 - 660*a**2 - 129*a**2 - 298*a**2. -1996*a**2 Collect the terms in 4*q**2 + 41*q**3 - 3241646*q + 3241647*q - 4*q**2. 41*q**3 + q Collect the terms in 17*g**2 - 1638412918066 + 1638412918066. 17*g**2 Collect the terms in 284221*g - 142105*g + 15*g**2 - 142116*g - 14*g**2. g**2 Collect the terms in 354*r**2 + 65 - 364*r**2 + 68 + 64 - 197. -10*r**2 Collect the terms in 51*t**3 + 71*t**3 - 31*t**3 - 1. 91*t**3 - 1 Collect the terms in 9208*b - 30422*b + 9207*b + 12006*b. -b Collect the terms in -3493*l**3 - 27796*l + 2 - 27773*l + 55566*l. -3493*l**3 - 3*l + 2 Collect the terms in 2*i**2 - 20*i**2 - 36*i**3 + 3*i**2 + 74*i + 15*i**2 - 64*i. -36*i**3 + 10*i Collect the terms in -p**2 + 3224 - 9653 + 3230 + p**2 - 5*p**3 + 3215. -5*p**3 + 16 Collect the terms in -42 + 73*j - 39 - 127 + 255 - 48. 73*j - 1 Collect the terms in -91290*s - 115460*s + 81677*s. -125073*s Collect the terms in -k - 151 - 2*k + k - k. -3*k - 151 Collect the terms in 155 - 100 + 161*l - 49*l. 112*l + 55 Collect the terms in -1232985341954*z**2 + 1232985341954*z**2 - 512*z**3. -512*z**3 Collect the terms in -11*f + 21 - 15*f - 9*f - 13*f + 95*f - 44*f. 3*f + 21 Collect the terms in -157*s + 259 - 163*s + 322*s. 2*s + 259 Collect the terms in -128*v**2 - 699294331 + 699294331. -128*v**2 Collect the terms in 37*h**2 + 10*h**2 - 6*h**2 - 28*h**2. 13*h**2 Collect the terms in -901 + 5800*q - 5800*q - 2*q**2. -2*q**2 - 901 Collect the terms
{ "pile_set_name": "DM Mathematics" }
a. 2 Rearrange -142 + 294 + 2*l**3 - 153 + 2376*l**2 to the form y*l**2 + f*l + w*l**3 + p and give p. -1 Rearrange -377*u - 127*u - 370*u + (-2*u + 0*u + 0*u)*(-3 + 3 + 2) + 3*u - 3*u - 2*u + (-u + 7*u - 3*u)*(1 - 2 + 5) to the form p*u + o and give p. -868 Express -18*u**2 + 20*u + 8*u**2 + 11*u**2 + 63*u**4 - 4 - u**3 + 3 - 21*u in the form w*u**2 + d*u**3 + x*u + n + q*u**4 and give n. -1 Express 2*k - 26*k**3 + 95*k**3 - 14*k**4 - 70*k**3 + 12*k**2 in the form t*k + f*k**4 + w*k**3 + g*k**2 + o and give f. -14 Express (61*o + 19*o - 43*o)*(-31 + 56 - 21 - 28*o) in the form g*o + n*o**2 + q and give n. -1036 Express (0*x - 5*x + x)*(-5 + 3 + 4)*(-5*x + 74885 + 4*x - 75990) in the form s + t*x + m*x**2 and give m. 8 Express (-508 + 264 - q + 248 + 20*q**3)*((1 + 6 - 5)*(-1 - 3 + 2) - 1 + 4 - 2) in the form r*q**2 + l*q**3 + w + n*q and give n. 3 Rearrange -15*g - 402 - 15*g**2 + 1187 - 404 - 391 to the form y*g + m*g**2 + l and give y. -15 Express (-m - m - 4*m)*(5772*m + 430 - 149*m - 187 - 245) in the form r + b*m**2 + f*m and give b. -33738 Express 3*j**2 + 6*j**4 + 2 + 4*j**4 - 2*j + 2*j**3 - 5*j**4 - 5*j**2 in the form s*j**4 + c*j + p*j**2 + m*j**3 + h and give s. 5 Rearrange -138596 - 2218*b + 283*b + 138602 to a*b + u and give u. 6 Rearrange -6*j**2 - 1727 + 84657*j - 84659*j + 8*j**2 to x*j**2 + a + b*j and give a. -1727 Express -4*c**2 - 189964*c**3 + 5*c**2 + 186070*c**3 + 0 + 0 + 2*c**4 as v*c**2 + n*c**3 + o + g*c + s*c**4 and give n. -3894 Rearrange -17385*i + 17383*i + 47*i**3 + 3 - i**2 - 63*i**3 - 74*i**3 to s + o*i**3 + f*i**2 + t*i and give f. -1 Express y**3 - 36*y - y**4 + 56349*y**2 - 3 - 56355*y**2 + 2 in the form f*y**2 + a*y**4 + k*y + s*y**3 + m and give k. -36 Rearrange (-5*k + 3*k + 0*k)*(13*k + 2*k**2 + 73*k**3 - 473828 + 473828) to the form f*k**4 + h*k + t*k**2 + w + v*k**3 and give v. -4 Express 2199*p**3 - 5*p - 754*p**3 - 743*p**3 + 2*p**2 - 3 - 2 - 729*p**3 in the form f*p**2 + l*p + b*p**3 + r and give l. -5 Express (-24 + 24 + 201*y)*(-36*y**2 + 10*y**2 - 28*y**2) in the form h*y**2 + b*y**3 + s + j*y and give b. -10854 Express 2 - 552*o**2 - 712*o**2 - 906*o**2 in the form g*o**2 + d*o + y and give y. 2 Rearrange -2*f - 12 - 4 - 6 + 2*f**3 + 10*f**3 to the form t + w*f**2 + n*f + q*f**3 and give w. 0 Express (2 - 4 + 6)*(-6*a + 20 - 20)*(-7*a**2 + 2499 - 2499 + 6*a**3) as y*a**4 + q*a + u*a**2 + k + f*a**3 and give f. 168 Express -2*c**3 + 8871 - 2404*c - 17749 + 8877 in the form h + u*c + p*c**2 + o*c**3 and give p. 0 Rearrange 448*g**3 - 28*g**2 - 149*g - 418*g**3 + 2*g**4 + 151*g to w + z*g**4 + p*g**2 + n*g**3 + t*g and give p. -28 Rearrange (-4 + 1 + 1)*(3*y**2 - 3*y**2 + 2*y**3) - 8371*y**3 - 4*y**2 - 12858*y**3 + 4*y**2 + 44047*y**3 to s + i*y + r*y**2 + x*y**3 and give x. 22814 Rearrange (2 + 155 - 50 + 57 + 56)*(16 - 11 - 50)*(5*v - 5*v - v) to o*v + t and give o. 9900 Rearrange 16*q - 242*q**3 - 8622*q**4 - 3 + 245*q**3 + 8629*q**4 to the form c*q + s*q**4 + p*q**3 + n + x*q**2 and give s. 7 Rearrange -2*c**4 - c**4 + 10*c**4 + (257*c + 10892 - 10892)*(-c**3 + 4*c**3 + 0*c**3) to q + i*c**3 + g*c**2 + x*c + d*c**4 and give d. 778 Rearrange -4*f + 4*f + 5*f + (21*f - 18*f + 22*f)*(-21 + 39 + 70) to the form s*f + w and give s. 2205 Rearrange (8*o - o - 2*o)*(-436*o - 43*o - 1050*o) to a*o + s*o**2 + c and give s. -7645 Express ((-3*d + d + 4*d)*(1 - 4 - 3) - 1 + 1 + 2*d)*(-1840 - 724 + 60 - 26) in the form v + l*d and give l. 25300 Express 142 + 161*b - 129*b**2 + 127*b**2 - 140 in the form p*b**2 + m*b + x and give m. 161 Rearrange 54*b**4 + 15 + 5*b**2 - 31*b**4 + 61 - 26*b**4 + 0*b**2 to the form f*b**4 + l + y*b + t*b**2 + d*b**3 and give l. 76 Rearrange 2*k - 886439*k**2 + 886440*k**2 + 2*k**3 + 2 - 927*k**4 - 2 to the form z*k**3 + s*k**2 + v*k + x*k**4 + h and give x. -927 Express 757*s - 513*s + 695*s + 534*s in the form n + t*s and give t. 1473 Express -101934*m + 52082*m + 58833*m as a + z*m and give z. 8981 Rearrange -2*h**2 + 5*h**4 - 5*h**3 - 6*h**3 + 4 - h - 5*h**3 + 6 + 14*h**3 to n + q*h**2 + w*h**3 + z*h**4 + s*h and give z. 5 Express -325*g**3 + 1095*g**3 - 336*g + 338*g in the form q + m*g**2 + i*g**3 + h*g and give i. 770 Express v**2 + 27 + 29*v - 1533*v**3 + 6*v + 1528*v**3 - 10*v in the form n*v**2 + u*v**3 + z + i*v and give n. 1 Rearrange 6*b**2 - 2*b**2 - b**2 + (b**2 - 4*b**2 - b**2)*(-5 + 4 - 1 + (-3 - 2 + 3)*(1 - 25 + 0)) + b**2 + 14*b - 14*b to the form h*b**2 + p + m*b and give h. -180 Express 1 - 3 + 45172*z**2 + 122*z - 22586*z**2 - 22588*z**2 as f*z + s + q*z**2 and give s. -2 Rearrange (-31*s + 28*s - 51*s)*(3 + 8 + 7)*(2*s**3 - s**3 + 6*s**3) to t*s**3 + q*s + z*s**2 + o*s**4 + l and give o. -6804 Rearrange -2 - 87*v**2 - 13*v**4 - 17295*v + 17294*v + 2 - v**3 to u + r*v**4 + s*v**3 + k*v + i*v**2 and give r. -13 Express 6*o**2 - 3535*o + 399*o + 67*o**2 - 74*o**2 in the form g*o**2 + x + c*o and give g. -1 Rearrange -2244*j + 1154*j - 36*j**3 + 1118*j + 9*j**3 to the form i*j + v*j**3 + a*j**2 + d and give i. 28 Rearrange -22 + 3*r**2 - 30 - 4*r**3 + 8 - 12 to the form j*r + w*r**3 + t + i*r**2 and give t. -56 Rearrange (0*g - 3*g + 0*g + (-1 - 1 + 1)*(g - g - g))*(g + 28 - 62*g - 28 - 66*g) to the form q*g + y*g**2 + k and give k. 0 Rearrange (-26*c + 19*c + 3 - 4)*(5*c**2 + 9 - 9) - c**2 + 0*c**2 + 22*c**3 - 7*c**3 to u*c**3 + o*c**2 + b + q*c and give b. 0 Rearrange (67 + 135*j - 138*j + 3)*(-4 + 5 - 2)*(8*j - 17*j + 15*j) to n*j**2 + i + g*j and give g. -420 Express 9*w**2 + 95*w**3 + 1472*w + 1 - 7*w**2 - 1475*w in the form d*w**3 + o + n*w + b*w**2 and give d. 95 Express 11*i**2 + 15 - 22 + 5 - 11*i**3 - 8*i + 0*i - 9*i**2 as f*i**2 + y*i**3 + v + n*i and give f. 2 Express -259 - 4*y**2 - 75 - 94 - 99659*y + 99659*y as b + i*y + z*y**2 and give z. -4 Express (0*o**2 - 5*o**2 + 3*o**2)*(-6998 + 22842 - 8023)*(4*o - o**2 - 4*o) as i + f*o**3 + a*o**4 + h*o**2 + c*o and give a. 15642 Rearrange -15 + 17215*b**3 - 34345*b**3 + 0 + 17178*b**3 to n + t*b**3 + h*b + j*b**2 and give n. -15 Express (-d + 3*d + 0*d)*(42 - 19 + 22595*d + 4 - 13 - 14) in the form g + o*d**2 + t*d and give g. 0 Express -d - d**4 + 1 + 57*d**2 - 4*d**3 - 379*d**2 - 56*d**2 + 75*d**2 as f + k*d + x*d**4 + z*d**2 + v*d**3 and give v. -4 Rearrange 5523 + 30*p - 57*p + 17*p + 12*p to the form b*p + m and give b. 2 Express 185 + 28*o + 34*o - 192 - 61*o - 2*o**3 - 57*o**2 in the form d*o + l + i*o**3 + g*o**2 and give d. 1 Rearrange (-536 - 765 - 8965)*(-43*r + 43*r - 5*r**3) to the form k*r**3 + p*r + b + t*r**2 and give k. 51330 Express 90*y**4 - 8*y**2 - 72*y**4 - 2 + 10*y**2 + 12*y in the form n*y**2 + i*y**4 + p + g*y**3 + j*y and give j. 12 Express (-1247 + 39*f + 1247)*(6*f**3 - 5 + 5) in the form n*f**3 + s*f + q*f**4 + y*f**2 + j and give q. 234 Rearrange 13*r - 6*r + 6*r + (3*r - 12*r + 0*r)*(0 + 3 - 1) to x + h*r and give h. -5 Express 457*i**3 - 4*i - 127361*i**4 + 38*i**3 + 127360*i**4 in the form m*i**2 + o*i**4 + b*i**3 + x*i + a and give b. 495 Rearrange -545*k + 370*k - 71*k - 1135*k - 4*k**3 - 2*k**3 to s*k + v*k**3 + n + o*k**2 and give s. -1381 Express 396*p + 1 + 2832*p**2 - 2730*p**2 - 395*p in the form l + r*p**2 + j*p and give j. 1 Express (4*a + 2*a - 2*a)*(-10*a**2 + 10*a**2 - 7*a**2)*(-2*a - 15*a - a) as x*a**3 + y + c*a + u*a**4 + h*a**2 and give h. 0 Express -22*y + 10*y + 6 + 13*y + 3*y**2 + 6*y - y as a*y**2 + j*y + u and give a. 3 Rearrange -n**2 + n + 3*n**2 - 3*n + (2*n - 2*n + 3*n)*(-n + 0*n + 0*n) + 1012*n**2 - 311071*n + 311071*n to the form a*n + t + j*n**2 and give a. -2 Express (t - 11*t - 8*t)*(1 + 1 - 4*t - 5245*t**3 + 5281*t**3) as z*t**2 + b*t + m + s*t**4 + o*t**3 and give s. -648 Rearrange c - 112*c**2 + 721*c**2 + 2 + 530*c**2 to the form v + w*c + d*c**2 and give w. 1 Express (-2*t**2 + 2*t**2 - t**2)*(-3464 + 1730 - 576*t + 1733) as h + n*t**3 + q*t + a*t**2 and give a. 1 Rearrange -4*c**2 - 8003*c + 8177*c + 2*c**2 - c**2 - c**3 to the form s + k*c**3 + g*c**2 + j*c and give g. -3 Rearrange 3*m**2 + 38*m - 10*m**3 + 99*m - m**2 + 15*m**3 - 20*m to o*m**2 + i*m + b*m**3 + t and give i. 117 Rearrange 2757 - 1365 - 1392 + 45594*f to the form r + o*f and give o. 45594 Rearrange 6*t**4 + 9*t + 4*t**2 + 26 + 14*t**4 - 10 - 19*t**4 to the fo
{ "pile_set_name": "DM Mathematics" }
? False Let j be 72832/512 - (-3)/4*1. Is j greater than or equal to 141? True Let g(m) = 87 - 3*m - 52 - 57. Let o be g(0). Is -23 equal to o? False Let r = -20 - -20. Suppose 3*f - 19 = b - r*f, -f + 4 = 0. Let c be 2/b - (-10)/35. Are -1/14 and c nonequal? True Let a = 2042 + -2038. Is a greater than -26? True Let i = 24 + 9. Let x = -38 + i. Which is smaller: -0.2 or x? x Let a = -1 - 0. Let r(j) = -3*j - 4. Let y be r(a). Does 1/4 = y? False Let f(m) = -52214*m - 6. Let g be f(-3). Let a be 2/(-4) - (-45570)/g. Let j = a - 1/687. Which is greater: -1 or j? j Suppose -31 = 2*k - a, -k - 3*a = -7 + 19. Is k > -20? True Let y = -1552/36945 - 2/821. Let p = 139/90 + y. Which is greater: p or 0? p Suppose -3*c - 245 = -5*v, 4*v - 63 = -3*c + 106. Is v greater than 44? True Let k(n) = -4*n**3 - 5*n**2 - 2*n - 19. Let q be k(-3). Is q less than or equal to 50? True Let x = 9 - 10.3. Let t = -1.5 - x. Let o = 6 + -6.3. Is t at least as big as o? True Let t be 1/(-1 - 10/(-8)). Suppose -2*c - 8 - t = 2*b, 5*c - 5*b = -70. Which is greater: c or -1/2? -1/2 Suppose -6*g - 123 = -111. Which is bigger: g or -13/23? -13/23 Suppose 0 = 2*i + q - 14, -q + 26 = 2*i - 3*q. Is 14 less than or equal to i? False Suppose -20 = -3*s + 7*s. Let g(p) = p**3 + 3*p**2 - 11*p - 6. Let z be g(s). Which is greater: 4/17 or z? 4/17 Let q = -0.609 + 0.099. Let n = 63 + -63.01. Let i = n - q. Which is smaller: 1 or i? i Let g be 40/(-60) + 40/6. Let z be g/(-4)*44/6. Which is smaller: z or -35/3? -35/3 Let t = 99/16 + -4487/720. Which is bigger: t or -1? t Suppose -219*v = -224*v - 650. Which is greater: v or -127? -127 Let l be 134/335 - ((-152)/(-305) - 0). Is l < 1? True Let t(r) = 7*r + 1. Suppose 4*m - m + 24 = 0. Let p = 9 + m. Let x be t(p). Which is greater: 10 or x? 10 Suppose 2*l = 12 - 16. Let s be (4*(-4)/168)/(l/(-6)). Which is bigger: -1 or s? s Let c(k) = k**3 - k**2 - 3*k + 2. Let q be c(2). Suppose -3*w = -3*o - 9, o + w + 7 - 14 = q. Is o equal to 5/7? False Suppose -95 = 57*s - 779. Which is bigger: s or 104/9? s Let d = 0.673 - 118.773. Let b = d + 119. Is 4 at least as big as b? True Let g be (((-91)/102354)/13)/((-2)/8). Does 0 = g? False Let v = -114 - -229/2. Is v at most 186/5? True Let k = 77 + -49. Suppose 1 = -x - k. Is -29 greater than or equal to x? True Suppose -7*m - 7*m + 70 = 0. Let g = 0 - -7. Let v be (-2)/g - 265/(-70). Which is smaller: v or m? v Let w(u) = -u**3 + 9*u**2 + 3*u - 18. Let o be w(9). Let i(v) = -v**2 + 4 + 0*v**2 - 5*v + 14*v. Let j be i(o). Which is bigger: j or 0.2? j Let l = 0.16 + -0.25. Let m = 638 + -636. Is l > m? False Let u = 124122 + -5384372/43. Let o = u - -1096. Is o at least as big as 0? True Let v(m) = -m**2 + m - 1. Let j be v(0). Let b = -16 - j. Let i be (12/(-20))/(3/b). Is i at most as big as -1? False Let p(m) = -m - 14. Let o be p(-16). Suppose o + 4 = -2*j. Which is smaller: -1 or j? j Let f be ((-3)/4)/((-51)/136). Is f >= 23/9? False Let m(p) = -p**3 + 7*p**2 - 4*p + 3. Let u be m(6). Suppose 0 = -r - 3*w + 9, 4*r = -6*w + w + u. Let i be ((-1)/(-2))/((-15)/(-10)). Is i greater than r? True Let t be ((-5)/(-60))/(1/3). Let y = 30/17 - 107/51. Does t = y? False Suppose 1065*m = 1075*m. Let t = 1.6 - -7.4. Which is greater: m or t? t Let n be (-350)/(-322) + 4/(2 + -6). Do n and 20 have the same value? False Let s be ((-4)/(-600)*4)/(2/3). Which is greater: s or 7/5? 7/5 Suppose 10*b - 51 = 7*b. Suppose b*j = 18*j. Which is smaller: -2/71 or j? -2/71 Let g = 17 - 39. Let d = 16 + g. Let j be 992/(-352) - -4 - (8/(-22))/(-2). Do j and d have the same value? False Let i(r) = r**3 - r**2 + 14. Let s be i(0). Suppose -2*q + 3*h - 16 = -0*q, 2*h - s = 3*q. Let t be -4*1/q - 7. Is -4 < t? False Let u = 231 - 10393/45. Let r be ((-14)/18)/(-5 + 0). Let z = u + r. Which is bigger: z or 1? 1 Suppose -16*l + 8*l - 368 = 0. Which is bigger: -45 or l? -45 Suppose 0 = x - 2*x - 4*u + 1, -4*x - 2*u + 18 = 0. Suppose 5*h = x*k + 20, -5*h + 5 = -2*k - 6. Let q be (-15)/4*(-2)/(-3). Does k = q? False Suppose 4*c + 9 = 6*s - s, -4*s + 36 = 4*c. Suppose -w + c*w - 6 = 0. Let h be (-48)/(-15) - 1 - w. Is 0 greater than h? False Let m(l) = -8*l**3 + 3*l**2 + 10*l - 6. Let r(i) = 23*i**3 - 9*i**2 - 29*i + 17. Let p(s) = 17*m(s) + 6*r(s). Let t be p(-2). Which is greater: -19 or t? -19 Suppose -2*k + 4*k = -5*q - 27, 0 = 2*k - 4*q - 18. Suppose -7 = -4*t - s + 6*s, -11 = -2*t + 5*s. Let c be t/(-16)*-7 - -1. Is k <= c? True Let v(t) = -t**3 - 7*t**2 - 9*t + 12. Suppose -3*h = -2*c + 3*c + 11, 4*c + 30 = -5*h. Let n be v(c). Which is bigger: n or 4? n Let a be ((-10)/(-3))/(126/(-567)). Let z = -42 - -26. Which is bigger: a or z? a Let c = -975 - -1014. Which is smaller: c or -0.17? -0.17 Suppose 2*c + 2*c = 3*i + 40, 0 = -4*c - 20. Is -20 equal to i? True Let l(n) = 0 - n - 7*n**2 + 7 + 88*n**2 - 6*n**2. Let x be l(3). Let i = -4729/7 + x. Which is greater: i or 2? i Let a(n) = -3*n**2 + 12*n. Let z be a(4). Let h = -2 - z. Which is smaller: h or -5? -5 Suppose -5*j = -3*y - 134, 138 = 2*j + 3*j - y. Let l = 43 - j. Let w be 0/6 - (-2)/l. Which is bigger: 0 or w? w Let w = 1 + -1. Suppose n + 3*n = w. Let q = 2311 - 2316. Is n > q? True Let v = 175 - 111. Let n be (4/v*-3)/((-1)/(-10)). Which is smaller: -1 or n? n Let v be 6/4*(-1 + (-278)/(-282)). Is 1 at least v? True Suppose 7*d - 11*d = 252. Let z = d + 58. Which is smaller: -1 or z? z Let y(h) = h**3 + 26*h**2 - 30*h - 63. Let c be y(-27). Let z be (-1 + (-6)/(-4))*c. Is z >= 2? True Suppose 3*o + 30 = 3*x, -3*x + 7*x - 58 = -5*o. Let d = x - 17. Is -5 smaller than d? False Let y be 404 + -23 - 20/(-2). Are 392 and y nonequal? True Let b = 12.11 - 12.06. Is b smaller than -0.1? False Let t be 3555/(-8) + 0 + (-3)/(-8). Is t < -444? False Let s(w) = -2*w - 6. Let d be s(-3). Suppose d = 2*y - 7 - 3. Suppose y*a + 6 = 11. Is a at least 1? True Let q(p) = -5*p + 1. Let u be q(6). Let w = u - -28. Which is bigger: w or -4/9? -4/9 Let q be (2/4)/(1/4). Let s(z) = -z**3 + 3*z**2 + 11*z - 1. Let v be s(5). Suppose -5*m = -q*x + 1 + 3, 4*m - v*x + 8 = 0. Is 2/9 != m? True Let r = 2.3 - 2.3. Let j = r + -1. Which is greater: j or -1.7? j Let z = 349/18 - 170/9. Is z less than 1? True Suppose 0 = 2*o - 93 + 25. Is o bigger than 35? False Let i be ((-2)/10)/(-3 + 8). Suppose -21*f + 6 = -22 + 7. Is i < f? True Let y = -360 + 2528/7. Let j be (0 + 2*-1)*3/2. Let s be (-1)/j + 3/(18/10). Which is greater: y or s? s Let x = 1493 + -1187. Which is smaller: x or 304? 304 Let o be -294 - 35/(-21)*(7 + -4). Which is smaller: -290 or o? -290 Let t = -7.9 + -2.1. Let b = -9 - t. Do b and -1 have different values? True Let a = 160 - 159. Is 4/57 greater than a? False Let v(h) = h**3 - 2*h**2 + h - 2. Let l be v(2). Suppose l = -4*a + 3*t + 38, 2*t + 32 = -5*a + 91. Suppose -4*f + f + 36 = 0. Which is bigger: f or a? f Let b = -597.72 - -598. Is b greater than 1? False Let x(v) = -v**2 - 9*v + 24. Let r be x(-10). Suppose r*f - 315 = 7*f. Which is smaller: f or 46? f Suppose -3*y - 4*g = -3*g - 94, 3*g = -5*y + 150. Is 35 less than or equal to y? False Let f be (20/26)/(-5) + 40/91. Let j = -208 + 216. Which is greater: j or f? j Let b = 0.1046 - 0.0646. Let q = 0.54 + -0.6. Let l = b - q. Which is smaller: 2 or l? l Suppose 0 = 4*l - 4*q - 132, 0 = -4*l - q + 76 + 61. Suppose s + 0*s - l = 0. Is 35 bigger than s? True Let h(c) = c**3 + 4*c**2 - 7*c + 1. Let t be h(-5). Let w(m) = -m**3 + 10*m**2 + 11*m + 17. Let a be w(t). Which is greater: 18 or a? 18 Let g(a) = a**2 + 3. Let s be g(5). Let f = 27 - s. Let c be (-20)/(-35) - (-2)/(-7). Do f and c have the same value? False Let a be (-1048)/(-204)*(-3)/(-20). Let u = 1/34 + a. Let x be (-6)/12 - (-9)/6. Which is greater: u or x? x Let p = 19.31 + -0.31. Let g = p - 21. Suppose 25 = 5*d - 0*f + f, 5*f - 17 = 2*d. Which is smaller: d or g? g Suppose -3*f - 3*q + 1545 = -855, -3191 = -4*f + 5*q. Let l be (-2)/(-6) - (-98230)/123. Let r = f - l. Which is greater: r or 0? r Let q = -13658/35 - -390. Which is bigger: q or -1/4? q Let h(s) = -s**2 - 1. Let f be h(-3). Let m be (f/(-4))/(2/8). Let t = -26370 + 26370. Is t at least as big as m? False Let h = 9 - 10. Which is smaller: 267 or h? h Let u = -0.4 + 0.2. Let z = 895.4 + -896.
{ "pile_set_name": "DM Mathematics" }
t: 530, 532, 534, 536, 538, 540? 542 What comes next: 18, 55, 110, 189, 298, 443, 630, 865? 1154 What comes next: -1017, -1005, -977, -927, -849, -737, -585? -387 What is the next term in -15758, -15756, -15754, -15752, -15750? -15748 What is next in -1692, -1695, -1698, -1701, -1704? -1707 What is the next term in 72, 70, 64, 54, 40, 22? 0 What is next in -52, -51, -50? -49 What is next in -1292, -2583, -3874, -5165, -6456? -7747 What is the next term in -6, -10, 2, 36, 98, 194, 330, 512? 746 What is next in 842, 840, 838, 836, 834? 832 What is the next term in -4865, -4872, -4891, -4928, -4989, -5080, -5207, -5376? -5593 What comes next: 3, -6, -15, -24, -33, -42? -51 What is the next term in 52, 46, 42, 40? 40 What is the next term in 21, 52, 107, 186? 289 What is the next term in 7, -16, -53, -110, -193, -308? -461 What is the next term in 431, 411, 379, 329, 255, 151, 11? -171 What is next in -213, -199, -161, -87, 35, 217? 471 What comes next: 25, 26, 5, -50, -151, -310, -539? -850 What comes next: -13, -42, -89, -154, -237, -338, -457? -594 What is next in -18, -49, -108, -201, -334, -513, -744? -1033 What is next in -22, -45, -70, -97, -126, -157, -190? -225 What is the next term in -113, -225, -337, -449? -561 What is next in -359, -688, -1007, -1310, -1591? -1844 What is next in 272, 270, 266, 260, 252? 242 What is next in -70, -83, -96, -109, -122? -135 What comes next: -3, -11, -13, -9, 1, 17, 39? 67 What comes next: -51, -44, -25, 12, 73, 164, 291? 460 What is the next term in -964, -966, -978, -1006, -1056, -1134, -1246? -1398 What is the next term in 925, 923, 921, 919, 917? 915 What comes next: -70, -84, -100, -118, -138, -160, -184? -210 What comes next: -13619, -27239, -40859, -54479, -68099? -81719 What is next in -18, -28, -38, -48? -58 What comes next: 31, 312, 1083, 2590, 5079, 8796, 13987, 20898? 29775 What is the next term in -644, -1290, -1936, -2582, -3228, -3874? -4520 What is the next term in 1957, 1959, 1959, 1957? 1953 What is the next term in 3394, 3395, 3396, 3397? 3398 What comes next: -104, -128, -152, -176, -200, -224? -248 What is next in 14, 21, 28, 35, 42? 49 What is next in 809, 808, 807? 806 What is next in 10351, 20701, 31051? 41401 What is next in 0, -9, -30, -63, -108? -165 What is next in 153, 148, 141, 132, 121, 108, 93? 76 What comes next: 63, 34, 19, 24, 55, 118, 219? 364 What comes next: -3412, -3408, -3400, -3388, -3372? -3352 What comes next: 83, 152, 223, 296, 371? 448 What is the next term in 41, 61, 97, 161, 265? 421 What is the next term in 3, -5, -19, -39, -65? -97 What is next in -165, -183, -237, -345, -525, -795? -1173 What is next in -3, -2, -3, -6, -11, -18, -27? -38 What is the next term in -58, -213, -466, -817, -1266, -1813? -2458 What comes next: -15565, -15566, -15567, -15568, -15569? -15570 What is the next term in -52, -28, 42, 182, 416, 768? 1262 What is next in -8983, -8989, -8997, -9007? -9019 What is next in -71, -161, -251? -341 What is next in -531, -1058, -1585, -2112, -2639, -3166? -3693 What is the next term in 28, 45, 62, 79, 96? 113 What comes next: -118, -218, -318, -418? -518 What is the next term in 31, 28, 11, -26, -89? -184 What comes next: 41, 39, 37? 35 What is the next term in -132, -149, -154, -141, -104, -37, 66, 211? 404 What is next in 428, 439, 454, 473, 496? 523 What is next in 137, 163, 227, 347, 541, 827, 1223, 1747? 2417 What is the next term in 27, 34, 47, 66, 91, 122? 159 What is the next term in 1433, 1443, 1467, 1511, 1581, 1683, 1823, 2007? 2241 What comes next: 1440, 1444, 1448, 1452, 1456, 1460? 1464 What is next in -68, -154, -242, -332? -424 What is next in 218, 217, 208, 185, 142? 73 What is the next term in -10, -26, -44, -64? -86 What is the next term in 1106, 1121, 1160, 1235, 1358? 1541 What is next in -96, -190, -286, -384, -484, -586? -690 What is next in -1767, -3538, -5309, -7080? -8851 What is next in -3084, -6167, -9250, -12333, -15416? -18499 What comes next: 67, 95, 127, 169, 227, 307, 415? 557 What is next in 10190, 10192, 10194, 10196, 10198? 10200 What is next in -9440, -18877, -28314? -37751 What is next in -2013, -2014, -2015, -2016? -2017 What is the next term in 431, 888, 1345, 1802, 2259? 2716 What comes next: 13, 29, 45? 61 What is next in -1859, -3715, -5571, -7427? -9283 What comes next: -1613, -3228, -4847, -6470? -8097 What comes next: 24, 27, 30, 33, 36, 39? 42 What is next in 666, 661, 634, 573, 466, 301? 66 What is next in 0, -59, -118, -177, -236? -295 What is next in 18, 49, 98, 171, 274? 413 What comes next: 106, 215, 360, 559, 830, 1191, 1660, 2255? 2994 What comes next: 134, 220, 308, 398, 490? 584 What is next in -3, -8, -19, -36, -59, -88, -123? -164 What is next in 16, 130, 436, 1030, 2008? 3466 What comes next: -350, -681, -1012, -1343, -1674? -2005 What is the next term in -6267, -6272, -6291, -6330, -6395, -6492, -6627, -6806? -7035 What is next in -1892, -3784, -5676, -7568? -9460 What is the next term in 7, -7, -23, -41? -61 What is next in 89, 151, 195, 215, 205, 159? 71 What is next in 12, 32, 64, 108, 164, 232? 312 What is the next term in 12, 8, -22, -90, -208, -388? -642 What comes next: 48, 53, 58, 63, 68, 73? 78 What is the next term in -843, -845, -849, -855, -863? -873 What comes next: 3547, 7090, 10631, 14170, 17707, 21242? 24775 What is the next term in 109, 101, 93, 85, 77, 69? 61 What comes next: 750, 753, 756? 759 What is next in 1360, 2709, 4048, 5371, 6672, 7945, 9184, 10383? 11536 What is next in -169, -179, -193, -211, -233? -259 What is next in -2544, -2548, -2554, -2562? -2572 What is the next term in 113, 114, 115? 116 What is the next term in 3, 15, 27? 39 What is next in -82, -83, -86, -91, -98? -107 What comes next: -160, -162, -164, -166, -168, -170? -172 What is next in -111, -225, -343, -465, -591, -721? -855 What is the next term in 100, 387, 864, 1531, 2388? 3435 What is next in 193, 218, 243, 268, 293? 318 What is the next term in -57, -130, -213, -312, -433, -582, -765, -988? -1257 What is the next term in -500, -1000, -1512, -2042, -2596? -3180 What comes next: 36, 31, 22, 9, -8, -29? -54 What comes next: -192, -381, -570? -759 What is the next term in 310, 317, 330, 349, 374? 405 What is next in -682, -684, -686, -688? -690 What is next in 27, 67, 127, 213, 331, 487? 687 What is next in 1, -29, -61, -95, -131? -169 What is next in -303, -591, -867, -1131? -1383 What comes next: -68, -123, -178, -233, -288, -343? -398 What comes next: -190, -189, -188, -187, -186, -185? -184 What is next in 2218, 2217, 2216? 2215 What comes next: -9, -7, -15, -39, -85, -159, -267, -415? -609 What comes next: 5510, 11031, 16554, 22079, 27606, 33135? 38666 What comes next: 22, 75, 162, 283, 438, 627? 850 What comes next: -59, -188, -403, -704, -1091, -1564, -2123? -2768 What comes next: 1, -18, -83, -218, -447? -794 What comes next: 116, 245, 390, 557, 752, 981, 1250? 1565 What is next in -12900, -12904, -12898, -12876, -12832? -12760 What comes next: -135, -257, -365, -453, -515? -545 What is next in 9, 37, 103, 225, 421, 709? 1107 What is next in -48, -186, -406, -702, -1068? -1498 What is the next term in -42, -142, -308, -540? -838 What is the next term in -119, -130, -157, -206, -283, -394, -545? -742 What comes next: -2976, -5956, -8938, -11922? -14908 What is the next term in -44, -99, -174, -269, -384, -519, -674? -849 What comes next: 27, 57, 111, 189, 291? 417 What is the next term in 1061, 2125, 3191, 4259, 5329, 6401? 7475 What is next in 28743, 57484, 86225, 114966? 143707 What comes next: 1012, 1024, 1052, 1102, 1180, 1292? 1444 What comes next: -83, -75, -53, -11, 57? 157 What is next in -5229, -5233, -5249, -5283, -5341, -5429? -5553 What is next in -1582, -3168, -4754, -6340, -7926, -9512? -11098 What is next in 2012, 2011, 2010? 2009 What is next in -16, -24, -10, 38, 132? 284 What comes next: 41, 28, 5, -34, -95, -184, -307, -470? -679 What is next in -11, -19, -27? -35 What is the next term in -632, -631, -630, -629? -628 What is the next term in -1079, -1077, -1075, -1073, -1071? -1069 What is next in 3636, 3635, 3634? 3633 What is the next term in -36, -48, -70, -108, -168, -256? -378 What comes next: 31, 41, 61, 97, 155, 241, 361, 521? 727 What is the next ter
{ "pile_set_name": "DM Mathematics" }
10*3/75*(-5)/(-36). -1/18 What is the value of (-273)/52*96/(-280)? 9/5 Calculate 3/(70/(-56)*(-4)/(-30)). -18 Evaluate (5*(-5)/(-600))/(53/212). 1/6 Evaluate (-4)/(-1236)*(228/(-133))/(8/(-28)). 2/103 What is the value of (-3*(-40)/(220/11))/(-9)? -2/3 Calculate ((-18)/525)/(291/(-485)). 2/35 Evaluate (-6)/(-4)*165*(-68)/(-1122). 15 2/(-4)*96/112 -3/7 (2/4)/1*24/36*-69 -23 What is ((-3)/3)/(((-2121)/(-404))/((-3)/(-2)))? -2/7 What is (-1)/((9/(-18))/(2/4*2))? 2 What is the value of 12/(-20)*20/8*(-2)/11? 3/11 (1/3)/((-13)/((-897)/184)) 1/8 Calculate (1/(-3))/(280/(-5040)). 6 Evaluate (2/1)/((-136)/816). -12 Evaluate ((-2)/(-5))/(-13*14/(-1820)). 4 Evaluate (19/(-247))/((-4)/(-4))*-2. 2/13 Calculate ((-273)/4)/13*-1*(-2)/(-28). 3/8 Calculate -2*(-23)/(-46)*21/((-1)/1). 21 18/192*-16*48/162 -4/9 (-138)/46*3/4*312/(-27) 26 (-4*(-30)/204)/(25/425) 10 Calculate -33*(-27)/((-1215)/(-15)). 11 Evaluate (15226/2979)/((-2)/(-9)). 23 (-5)/4*((-297)/(-405))/((-4)/24) 11/2 What is the value of 125/(-5)*120/(-200)? 15 What is ((-6)/3*-16)/(96/(-48))? -16 What is the value of 18/12*(108/12)/27? 1/2 Evaluate (-1*(-18)/(-15))/((-53)/265). 6 What is ((1/14)/(69/(-828)))/(10/(-35))? 3 (-16)/(96/15)*26/(-5)*1 13 Evaluate (172/(-129)*(-2)/(-16))/(10/18). -3/10 Evaluate (54/(-396))/((21/(-140))/(2/5)). 4/11 (232/29)/((-120)/(12/(-3))) 4/15 What is the value of (-34)/(255/(-15))*(-13)/2? -13 Calculate (-50)/45*(-18)/16. 5/4 (28/(-12)*-1)/(15/90) 14 (-73190)/2252*-1*4/(-5) -26 Calculate ((32319/(-594))/63)/(-19). 1/22 Evaluate (3/(60/16))/(13112/(-1490)). -1/11 What is the value of (700/(-210))/((-5)/(-4))*-9? 24 Evaluate (((-105)/(-12))/(-5))/((-22)/88). 7 Calculate (12/10)/((-432)/(-192)*(-1)/5). -8/3 (-15*(-12)/45)/(2/7) 14 What is the value of ((-100)/1400)/((-5)/(-30))? -3/7 What is (22/(-4))/((1014/39)/(-156))? 33 What is the value of (-15)/((-495)/(-77))*-3? 7 (520/(-6240))/(310/24*(-15)/50) 2/93 What is the value of (37/(-518))/(4/48)? -6/7 Calculate ((-1)/(-4)*2)/((6/(-52))/3). -13 Calculate (5/3)/((-9)/27). -5 What is ((-30)/40)/((-99)/308)? 7/3 (-3)/(-9)*2*-1*-9 6 Evaluate 33/(-99)*3/10*28/7. -2/5 Evaluate ((-2)/3)/(13/78). -4 Evaluate (-70)/15*(104/156)/((-4)/18). 14 What is (-22)/(3/((-9)/8))*152/(-114)? -11 What is the value of ((-56)/(-21)*3)/(31/(-31))? -8 Evaluate (((-3)/(-10))/(39/65))/((-5)/180). -18 Evaluate (39/(-52))/(243/(-270)). 5/6 What is the value of (36/24)/(75/70)? 7/5 ((-37620)/(-5985))/(((-8)/14)/2) -22 What is the value of ((-7)/(2625/50))/(-2*(-2)/(-18))? 3/5 What is the value of -4*(-6)/(-6)*8/(-224)? 1/7 What is the value of (-21)/3*1/70*-40? 4 Calculate 132/(-660)*(-70)/2. 7 ((-1)/((-3)/(-2)))/((-308)/(-84)) -2/11 Evaluate ((-1)/6)/((-2)/(-2)*117/819). -7/6 What is ((-49)/2842*-203)/((-14)/4)? -1 750/(-2250)*(-6)/(-29) -2/29 Evaluate (-20)/(-148)*12/30. 2/37 (-3)/(6/(-4))*((-1034)/374)/47 -2/17 Evaluate (6270/(-1045))/((-4)/18). 27 (-8)/46*20/((-560)/(-14)) -2/23 What is the value of (16/(-72))/(288/(-3564))? 11/4 Evaluate -6*(-3)/(-15)*7*6/378. -2/15 What is ((-3)/15)/((-6)/(-2040)*-4)? 17 -3*1/12*-16 4 What is 39*((-91)/(-13))/21? 13 What is the value of ((-185)/(-925))/((-2)/(-60))? 6 What is the value of 9*(3/(-18)*2)/((-2)/(-6))? -9 Calculate (-12*14/(-504))/((-6)/(-198))*-1. -11 What is the value of 1/((-1)/5*1)? -5 Calculate (22/4)/(12/(-72)*3). -11 Calculate (-15)/48*1388/19085. -1/44 Calculate 14*7/((-1715)/(-210)). 12 What is the value of 205/1025*90/(-2)? -9 Evaluate (-441)/(-3675)*30/36. 1/10 What is the value of -30*(-45)/9*(-1)/10? -15 Evaluate (4590/(-120))/(72/(-32)). 17 Evaluate 3/((((-140)/(-21))/(-20))/((-2)/(-2))). -9 (-5)/((-10)/((-40)/(-4))*-1) -5 What is (-5)/6*(-5)/200*-12? -1/4 Evaluate (1/(-4))/1*65*(-51)/(-3315). -1/4 Calculate (-6)/(((-150)/(-5))/(-5))*7. 7 What is the value of 4221/20636*8/6? 3/11 Evaluate (((-138)/(-46))/3)/(2/42). 21 Evaluate 5*(-21)/7*(72/15)/8. -9 What is (-12)/50*(-7)/((-1736)/310)? -3/10 Evaluate (-4)/(-3)*((-62310)/(-40))/(-67). -31 Calculate 1/(737/268*120/(-44)). -2/15 2/(-6)*29/(232/(-36)) 3/2 What is the value of (-4)/3*16/(-128)*66? 11 What is 2/34*2465/580? 1/4 What is the value of 9/14*(-252)/264*88/(-144)? 3/8 Calculate (-120)/(-320)*4/(-6)*(-324)/513. 3/19 Calculate ((3/(-2))/((-3)/4))/((-66)/132). -4 Evaluate 7/((-147)/98*1*4)*2. -7/3 What is the value of 2*200/560*-14? -10 Calculate -2*20/224*(-708)/(-590). -3/14 Evaluate ((952/20)/17)/((-2)/5). -7 Calculate ((204/(-16))/(-17))/(45/40*-2). -1/3 Calculate ((-3)/15)/((-66)/(-4950)). -15 Evaluate (-6)/9*(-22)/(-44)*27. -9 Calculate -15*((-1534)/156)/(-59). -5/2 3/(-2)*(-14)/(-630)*-20 2/3 Calculate (-17)/238*77*7/(28/16). -22 Evaluate ((-1210)/3025)/(17/5). -2/17 (174/783)/((-10)/(-1260)) 28 Evaluate ((-66)/(-24))/((-128)/512). -11 Evaluate ((0/3)/15)/(3/(-3)*1). 0 What is ((-3)/63)/(37/(5439/(-42)))? 1/6 (2*4/8)/((-310)/8060) -26 3/((4/(-16))/(-1*(-2)/40)) -3/5 What is the value of (3/2)/((24/(-6))/(96/36))? -1 What is 8/(-20)*-5*(-10)/(-20)? 1 (4/(-6))/(10/5040*-24) 14 What is the value of (-1)/51*(288/(-48))/2? 1/17 What is (249/(-581))/(5/35)? -3 Calculate ((-19890)/(-325))/(-51)*(-10)/(-54). -2/9 Evaluate ((-54)/(-8))/(99/66)*(-2)/6. -3/2 What is the value of ((-42)/(-182))/((-3)/(-39))? 3 Evaluate 16/(-20)*3*(-95)/(-38). -6 What is the value of (3*((-2)/5)/(-2))/((-532)/10640)? -12 What is (8/(-2784)*8)/(5/(-15))? 2/29 Calculate 11*(4/(-4))/(-6*(-4)/24). -11 What is (2*(-27)/(-315))/(12/(-28))? -2/5 What is ((-2)/240*-3)/(10*8/600)? 3/16 Calculate ((-2)/2*(-7)/(-28)*-4)/(-5). -1/5 What is the value of (((-4)/220*-5)/(3/11))/(-1)? -1/3 Calculate 0/(-888)*(4/10)/((-12)/(-10)). 0 What is the value of ((-2)/(-4))/((-269)/(-4304))? 8 What is the value of -60*((-104)/13)/32? 15 Calculate 150/(-5)*76/(-190). 12 Calculate 22/5*90/36*(-1)/1. -11 What is 12/(-126)*(171/(-18))/19? 1/21 What is (-10*(-22)/165)/((-6)/9*-1)? 2 Evaluate (17*(-37)/4403)/(2/(-112)). 8 Evaluate ((-2768)/1384)/(((-4)/12)/(2/12)). 1 What is ((-12)/(-168)*-7)/(7/((-308)/(-2)))? -11 What is 12/21*6/(-12)*1*-42? 12 Calculate ((-30)/50*15)/((6/8)/1). -12 What is the value of ((-20)/(-270))/((-1)/3)? -2/9 Calculate 32/(-144)*2*(-51)/(-170). -2/15 (8/(-224)*-8)/(26/273) 3 Evaluate (28/6)/((70/315)/(2/(-6))). -7 What is the value of (912/228)/(40/14)? 7/5 What is (((-21)/4)/3)/(3*(-56)/672)? 7 What is the value of ((224/12)/(-7))/((-6)/((-144)/8))? -8 What is the value of -7*11*(-54)/990? 21/5 What is the value of (2/4*-9)/(((-24700)/104)/(-95))? -9/5 What is the value of (((-32)/6)/2)/(((-12064)/174)/(-104))? -4 Evaluate ((-21)/(-175))/((-8)/(-40)). 3/5 Calculate 2/(-68)*6*12*21/(-378). 2/17 Calculate (923/4970*(-4)/(-13))/(6/5). 1/21 What is 207/(-460)*40/15*50/(-14)? 30/7 What is the value of (55/110)/(5/(-160))? -16 Evaluate (-11)/(-33)*864/(-18). -16 What is the value of 32/36*(-18)/768*8? -1/6 Evaluate (3/27)/((3/(-36))/(60/(-96))). 5/6 What is (((-2480)/(-217))/(-20))/(2/35)? -10 Calculate -5*(-4)/10*((-1534)/(-52))/59. 1 Evaluate (981/(-218))/(3*1)*1*4. -6 Calculate ((-2)/(-4))/((-1946)/(-132328)). 34 What is the value of 9570/8613*(-2)/4? -5/9 Evaluate ((-2)/(-1)*(-30)/(-21))/(42/147). 10 What is the value of (-1*4/(-16)*-12)/((-1638)/(-52))? -2/21 What is the value of (((-25)/30)/(80/(-144)))/((-36)/(-152))? 19/3 What is the value of ((-102)/(-1836)*-9)/(2/128)? -32 What is (294/(-35))/((-3)/5)? 14 What is 12/9*(-36)/528*-11? 1 Calculate (-1)/((-2)/24*102/(-187)). -22 5/110*(-12)/(-3) 2/11 Evaluate (101/505)/((-12)/10). -1/6 What is (-5)/((-25)/2)*15/(-2)? -3 What is (-16)/(-40)*27/(-18)? -3/5 744/(-2790)*(-90)/4 6 What is the value of ((-84)/(-70))/((-16)/(-40))*-3? -9 Calculate 78/4*(-29)/((-1218)/(-28)). -13 ((-102)/(-12))/17*9/3*2 3 Calculate ((45/72)/(-5))/((-2)/20). 5/4 What is the value of 26/20*-5*-2? 13 ((-3)/(-2))/(2*(-6)/32) -4 Evaluate (-39)/(16926/(-28))*4/(-2). -4/31 16/(-2)*((-10)/25)/((-18)/45) -8 Calculate 110/(-2)*46/(-253). 10 Calculate (44/(-121))/(115/1265). -4 (5/3)/((-2590)/12432) -8 What is the value of (-48)/9*11/(-11)*-3? -16 Evaluate (4224/(-792))/(8/(-30))*3/(-12). -5 Calculate (-1)/9*(-49)/(-98)*-1*6. 1/3 ((-6)/(-4))/(-1*(-5)/10*1) 3 Calculate ((-5)/(-75)*-3)/1*-6. 6/5 Calculate ((-3)/6)/((-16)/(-3840)*-12). 10 Eva
{ "pile_set_name": "DM Mathematics" }
1/4, to the nearest integer? 108 What is the third root of 27398655 to the nearest integer? 301 What is the square root of 737239830 to the nearest integer? 27152 What is the ninth root of 1031295024 to the nearest integer? 10 What is the tenth root of 97996316 to the nearest integer? 6 What is 93352269 to the power of 1/3, to the nearest integer? 454 What is the square root of 31817772 to the nearest integer? 5641 What is the square root of 226789368 to the nearest integer? 15060 What is 47602744 to the power of 1/2, to the nearest integer? 6899 What is the square root of 48450274 to the nearest integer? 6961 What is 673902295 to the power of 1/6, to the nearest integer? 30 What is 66651040 to the power of 1/5, to the nearest integer? 37 What is the square root of 995035 to the nearest integer? 998 What is 1019446495 to the power of 1/3, to the nearest integer? 1006 What is 19511971 to the power of 1/10, to the nearest integer? 5 What is the cube root of 61387544 to the nearest integer? 394 What is the third root of 58622541 to the nearest integer? 388 What is the tenth root of 43037142 to the nearest integer? 6 What is the square root of 47130534 to the nearest integer? 6865 What is the square root of 58935091 to the nearest integer? 7677 What is the sixth root of 127327793 to the nearest integer? 22 What is the eighth root of 2078907737 to the nearest integer? 15 What is the seventh root of 2048136829 to the nearest integer? 21 What is 284146078 to the power of 1/2, to the nearest integer? 16857 What is the square root of 160051575 to the nearest integer? 12651 What is the square root of 2861679839 to the nearest integer? 53495 What is 574147574 to the power of 1/4, to the nearest integer? 155 What is 46320226 to the power of 1/10, to the nearest integer? 6 What is 1553359354 to the power of 1/2, to the nearest integer? 39413 What is the fourth root of 48885403 to the nearest integer? 84 What is the eighth root of 81687003 to the nearest integer? 10 What is the seventh root of 8521725 to the nearest integer? 10 What is 31951781 to the power of 1/3, to the nearest integer? 317 What is 834409615 to the power of 1/7, to the nearest integer? 19 What is the square root of 5782317568 to the nearest integer? 76042 What is the third root of 70864047 to the nearest integer? 414 What is the sixth root of 44696843 to the nearest integer? 19 What is the seventh root of 505768247 to the nearest integer? 18 What is the ninth root of 383550554 to the nearest integer? 9 What is the third root of 1819403477 to the nearest integer? 1221 What is 69492928 to the power of 1/4, to the nearest integer? 91 What is the ninth root of 354524614 to the nearest integer? 9 What is the seventh root of 660852070 to the nearest integer? 18 What is the sixth root of 2418193250 to the nearest integer? 37 What is 5651015132 to the power of 1/5, to the nearest integer? 89 What is the seventh root of 11693533 to the nearest integer? 10 What is the sixth root of 2233361 to the nearest integer? 11 What is the sixth root of 1022827909 to the nearest integer? 32 What is 44140119 to the power of 1/5, to the nearest integer? 34 What is 120465337 to the power of 1/6, to the nearest integer? 22 What is the square root of 105090370 to the nearest integer? 10251 What is 525886252 to the power of 1/2, to the nearest integer? 22932 What is 2968865986 to the power of 1/8, to the nearest integer? 15 What is the third root of 468325576 to the nearest integer? 777 What is the square root of 2041091908 to the nearest integer? 45178 What is 194591129 to the power of 1/2, to the nearest integer? 13950 What is the seventh root of 16600289 to the nearest integer? 11 What is 286626210 to the power of 1/6, to the nearest integer? 26 What is 183699349 to the power of 1/3, to the nearest integer? 568 What is the square root of 299706120 to the nearest integer? 17312 What is the square root of 840863563 to the nearest integer? 28998 What is 3174253074 to the power of 1/2, to the nearest integer? 56341 What is the cube root of 784272903 to the nearest integer? 922 What is 1821669138 to the power of 1/6, to the nearest integer? 35 What is the cube root of 722720893 to the nearest integer? 897 What is 285984813 to the power of 1/2, to the nearest integer? 16911 What is 1288552905 to the power of 1/2, to the nearest integer? 35896 What is the cube root of 158158488 to the nearest integer? 541 What is 243256198 to the power of 1/8, to the nearest integer? 11 What is 876382726 to the power of 1/7, to the nearest integer? 19 What is the third root of 39188147 to the nearest integer? 340 What is the ninth root of 192469278 to the nearest integer? 8 What is the square root of 306877439 to the nearest integer? 17518 What is 102575024 to the power of 1/3, to the nearest integer? 468 What is 204000458 to the power of 1/3, to the nearest integer? 589 What is the square root of 732147594 to the nearest integer? 27058 What is the fifth root of 2464084618 to the nearest integer? 76 What is 149031803 to the power of 1/10, to the nearest integer? 7 What is 7097664445 to the power of 1/2, to the nearest integer? 84248 What is 2176411731 to the power of 1/3, to the nearest integer? 1296 What is the cube root of 4671827810 to the nearest integer? 1672 What is the third root of 182878946 to the nearest integer? 568 What is the seventh root of 26224591 to the nearest integer? 11 What is the square root of 2757989388 to the nearest integer? 52517 What is 76974116 to the power of 1/2, to the nearest integer? 8773 What is 26216359 to the power of 1/3, to the nearest integer? 297 What is 90329353 to the power of 1/8, to the nearest integer? 10 What is 23059223 to the power of 1/6, to the nearest integer? 17 What is 23576302 to the power of 1/3, to the nearest integer? 287 What is 243141381 to the power of 1/2, to the nearest integer? 15593 What is 1635288715 to the power of 1/4, to the nearest integer? 201 What is 3291450619 to the power of 1/7, to the nearest integer? 23 What is the ninth root of 194403945 to the nearest integer? 8 What is 89665701 to the power of 1/2, to the nearest integer? 9469 What is 2402104553 to the power of 1/8, to the nearest integer? 15 What is 5964661437 to the power of 1/2, to the nearest integer? 77231 What is the cube root of 705460972 to the nearest integer? 890 What is 926033324 to the power of 1/9, to the nearest integer? 10 What is 1272477813 to the power of 1/2, to the nearest integer? 35672 What is 436001653 to the power of 1/2, to the nearest integer? 20881 What is the third root of 4347272 to the nearest integer? 163 What is 350218663 to the power of 1/9, to the nearest integer? 9 What is 162275502 to the power of 1/2, to the nearest integer? 12739 What is the square root of 1307783160 to the nearest integer? 36163 What is 2126589779 to the power of 1/2, to the nearest integer? 46115 What is the third root of 108389413 to the nearest integer? 477 What is 160859287 to the power of 1/2, to the nearest integer? 12683 What is 2570557018 to the power of 1/4, to the nearest integer? 225 What is 119314856 to the power of 1/3, to the nearest integer? 492 What is 411260367 to the power of 1/7, to the nearest integer? 17 What is the fifth root of 8323835 to the nearest integer? 24 What is the fifth root of 57381366 to the nearest integer? 36 What is the ninth root of 2701140762 to the nearest integer? 11 What is the cube root of 1868665280 to the nearest integer? 1232 What is the square root of 157666698 to the nearest integer? 12557 What is 1317960852 to the power of 1/10, to the nearest integer? 8 What is 20434544 to the power of 1/2, to the nearest integer? 4520 What is the square root of 70866421 to the nearest integer? 8418 What is the eighth root of 249194987 to the nearest integer? 11 What is the cube root of 928802225 to the nearest integer? 976 What is the fifth root of 35956618 to the nearest integer? 32 What is the cube root of 21452977 to the nearest integer? 278 What is the seventh root of 4935339271 to the nearest integer? 24 What is 174399844 to the power of 1/2, to the nearest integer? 13206 What is 85297068 to the power of 1/9, to the nearest integer? 8 What is the cube root of
{ "pile_set_name": "DM Mathematics" }
3*u - 10. Calculate the remainder when 29 is divided by ((-30)/(0 + -1))/u. 14 Suppose -b - b = -20. Let f = -13 - -17. Calculate the remainder when b is divided by f. 2 Suppose -145 = -3*a - 28. What is the remainder when a is divided by 20? 19 Suppose -5*j + j + 12 = 0. What is the remainder when 24 is divided by ((-6)/(-1))/(2/j)? 6 Let g be (-153)/(-27) + (-4)/6. What is the remainder when 32 is divided by (-171)/(-15) + (-2)/g? 10 What is the remainder when 0 + (41 - (6/3 + -2)) is divided by 21? 20 Suppose 73 = 2*c + 5. Calculate the remainder when c is divided by 12. 10 Let j = -83 + 48. Let q = j + 49. Calculate the remainder when 40 is divided by q. 12 Suppose 0 = -5*r - 0*r + 15, -5*s - r + 3 = 0. Suppose 5*j - 5*p = 10, 7*p - 3*p + 12 = 0. Calculate the remainder when 27 is divided by s + (j - (2 - 13)). 7 Suppose -3*z = -4*s + s, 0 = -5*z + 4*s + 2. Suppose -190 = -7*u + z*u. Calculate the remainder when u is divided by 10. 8 Suppose -3*v + 183 = 3*t, -19*v + 4*t = -24*v + 302. What is the remainder when v is divided by 13? 6 Calculate the remainder when -1*(-2 + 228/4)*-1 is divided by 14. 13 Calculate the remainder when 46 is divided by 2/(-4)*0/(-1) + 24. 22 What is the remainder when (-128)/6*(-4 - -1) is divided by 17? 13 Suppose 0 = -t + 4*q + 87, 2*q + 144 = 2*t - 0*q. Suppose 17 + t = 3*i. Let l = i + -12. Calculate the remainder when l is divided by 9. 7 Let d = 239 + -82. What is the remainder when d is divided by 53? 51 Let l = -341 - -568. Suppose 0 = -g - r - 3*r + 58, r = 5*g - l. Calculate the remainder when g is divided by 16. 14 Let m(h) = h - 1. Let t be m(3). Let x be -1 + -1 + t - 0. Suppose 0 = 2*j - 2*s - 20, x*j - 10 = j + 3*s. Calculate the remainder when 8 is divided by j. 3 Let g = -10 + 27. Let m = 6 - 4. Suppose m*c = 3*n + 91, 3*n - 109 = -c - c. Calculate the remainder when c is divided by g. 16 Let w(l) = 3*l + 6. Let m = 2 + 9. What is the remainder when w(5) is divided by m? 10 Let j = -20 - -45. Calculate the remainder when 73 is divided by j. 23 Suppose -23 = -3*j + 1. Let v(h) = h**3 + 7*h**2 + 7*h + 7. Calculate the remainder when v(-5) is divided by j. 6 What is the remainder when 23/(0 - (-2)/6) is divided by 18? 15 Calculate the remainder when 47 is divided by -12*(1 - (3 + -1)). 11 Let x(p) = 6*p + 43. Calculate the remainder when x(29) is divided by 55. 52 Let m = 1 + 1. Suppose 0 = -m*u + 10. Suppose 1 - 17 = -2*j. Calculate the remainder when j is divided by u. 3 Let t(o) be the third derivative of 7/6*o**3 + 0 + o**2 - 1/60*o**5 + 1/4*o**4 + 0*o. Calculate the remainder when 23 is divided by t(5). 11 Let p(i) = i**3 + 9*i**2 - 13*i + 9. Suppose q + x + 5 = 0, 15 = 3*x - 0*x. Calculate the remainder when p(q) is divided by 14. 11 Suppose 25 = -5*x, -4*u = -5*x - 46 - 131. Suppose -3*n + 0*n - 3*c = -45, -3*n - 4*c = -50. Calculate the remainder when u is divided by n. 8 Suppose -4*d = -5*d - 4*l - 5, 42 = 2*d - 5*l. Calculate the remainder when d is divided by 7. 4 Let w(l) = l**2 + 2*l + 1. Let s be w(-4). Let u(a) = -a**3 + 10*a**2 - 7*a + 13. What is the remainder when u(s) is divided by (-16)/(-1) + -1 + 1? 15 Suppose 3*u = 25 - 10. Suppose u*n - 9 - 11 = 0. What is the remainder when 7 is divided by n? 3 Suppose 2*f - 5*z = -3*f + 500, 4*z + 296 = 3*f. Calculate the remainder when f is divided by 35. 34 Suppose 5*k = -2*y - 3*y + 35, k = y + 9. Calculate the remainder when k is divided by (6/4 - 3)*-2. 2 Let o(u) = -u**2 + 6*u + 10. Let s be o(7). Let n(b) = -3 - 3 - 3 + s*b - 10*b. What is the remainder when n(-7) is divided by 21? 19 Let d be 9/2 - (-6)/(-4). Suppose 3 = d*t - 3*y, 4*y = t + 4 + 4. What is the remainder when 11 is divided by t? 3 Suppose 2*l + 4*m + 9 + 9 = 0, -2*m = -5*l - 9. Let x = 12 + l. Suppose w + x = 2*s, s + 5*w + 23 = -0*s. Calculate the remainder when 2 is divided by s. 0 Let w = -11 - -8. Calculate the remainder when 16 is divided by (w/6)/((-1)/12). 4 Let k(r) = 4*r - 4. Let a = 77 + -14. Calculate the remainder when a is divided by k(5). 15 Suppose -x + 58 = 5*k + 8, 5*x - 280 = 5*k. Calculate the remainder when x is divided by 19. 17 Suppose 0 = 4*f - 0*f - 68. Calculate the remainder when f is divided by (27 - 0)*2/6. 8 Calculate the remainder when 25 is divided by -3*((-30)/(-9) - 3) - -8. 4 Let t be -9 - (-2 - (-2)/1). Let b = t - -21. Suppose -3 = o - 3*n + 2, -3*o = 4*n - 37. Calculate the remainder when b is divided by o. 5 Let k = -12 - -30. Calculate the remainder when 123*3/k*2 is divided by 14. 13 Suppose -2*j - 3*j = 15, 5*q - j = 18. Suppose -3*p + 2*u + 28 = 0, -q*p + 5 = 2*p + 5*u. What is the remainder when p is divided by 4? 2 Let z = 24 - 15. What is the remainder when 35 is divided by z? 8 Let b = 9 - -22. What is the remainder when b is divided by 12? 7 What is the remainder when 42 is divided by ((-5000)/(-45))/5 + 2/(-9)? 20 Suppose 5*z - 12 = 2*z. Let s(a) = a**2 + 2*a + 4. Let i(u) = u + 1. Let l(d) = -4*i(d) + s(d). What is the remainder when 22 is divided by l(z)? 6 Suppose 0 = -3*z + 2 + 4. Calculate the remainder when z - 4 - (-47)/1 is divided by 23. 22 Suppose -4*h + 6*h - 135 = l, -90 = -h + 5*l. What is the remainder when h is divided by 22? 21 Let u be (-16)/(-3)*45/10. Let c = u + -10. What is the remainder when 40 is divided by c? 12 Let l = -5 - -17. Let u = 24 - -126. Suppose -5*c - u = -5*z, -5*z + 3*c + 155 = -c. Calculate the remainder when z is divided by l. 11 Suppose 5*i + 8 = 2*b, 7*b - 2*i + 22 = 2*b. Let n be 18/b + 8*6. Calculate the remainder when 46 is divided by n/(-10)*8/(-3). 10 Let o(q) = 2*q**2 + 3*q + 7. Let d(w) = 2*w - 17. Let u be d(7). Calculate the remainder when o(u) is divided by 9. 7 Suppose 0 = -3*w - 3*q - 54, w - q - 4*q - 6 = 0. Calculate the remainder when 12 is divided by w/(-2) - 2*1. 2 Let q(d) = d**3 - 6*d**2 - 7*d + 4. Let s be q(7). Let g = s - -3. Calculate the remainder when 18 is divided by g. 4 Let q = -45 - -70. Suppose -4*u = -0*u. Let t = q + u. Calculate the remainder when t is divided by 7. 4 Suppose 0 - 10 = 5*h. What is the remainder when (88/16 - 6)*(-82 - 0) is divided by 0 + 1 - 20/h? 8 Let m = -37 - -45. What is the remainder when 38 is divided by m? 6 Let t = -2 - -6. Suppose w - 8 = -2*o, 2*w = -2*o - 0*o + 6. What is the remainder when t is divided by (4 - w)*(-1)/(-2)? 1 Let k(d) = -d**2 + 8*d. Calculate the remainder when 58 is divided by k(5). 13 Let w be (-3)/(-4) - 310/40. Let i(t) = -2*t**3 - 14*t**2 - 3*t. What is the remainder when i(w) is divided by 6? 3 Suppose 2*p = -4*q - 68, 0*q + 14 = -2*q + 4*p. Let k = q + 21. What is the remainder when 15 is divided by k? 3 Suppose 51 = 2*r - 191. Suppose i + r = 3*l + 12, 0 = 5*i + 20. Suppose -2*b + 72 = 2*b. What is the remainder when l is divided by b? 17 Calculate the remainder when 11/8 + -1 + (-22629)/(-456) is divided by 13. 11 Let o be 0*(-1 - 1)/6. Suppose -3*s = -2*c - 7*s + 248, o = -c + 2*s + 112. Calculate the remainder when c is divided by 24. 22 What is the remainder when (-1)/4*-6*2 is divided by 1? 0 Let b = 6 + 60. Let a = -47 + b. What is the remainder when a is divided by (-4)/(-18) - 97/(-9)? 8 Let q = 3 - 2. Let z = q + 1. Suppose 4*f + z*d = 114, -4*f - d = -48 - 61. Calculate the remainder when f is divided by 14. 12 Suppose 25 + 0 = 5*u. What is the remainder when 14 is divided by u? 4 Let l = 197 + -135. Let v be 1 + 2 + 3/3. Calculate the remainder when 44 is divided by l/v + 1/(-2). 14 Suppose 7*c = 4*c + 123. Suppose 10*f = -30 + 180. Calculate the remainder when c is divided by f. 11 Let y(i) = -i**3 - 2*i**2 + 6*i - 7. Let d be y(-5). Suppose 4*v = 2*k + 12 + d, -4*v + 3*k + 45 = 0. Calculate the remainder when 7 is divided by -3*(-3)/27*v. 2 Let g be (2 - 4)*48/(-3). Let f = -25 + g. What is the remainder when (-39)/(-2) + 1/2 is divided by f? 6 Let n = -63 - -132. Suppose -10*y + 13*y - n = 0. Calculate the remainder when 91 is divided by y. 22 Suppose -2*w = 2*w. Suppose w = 4*n - 5*h - 113, -3*n - 7*h + 77 = -3*h. Calculate the remainder when n is divided by 7. 6 Let y(m) = m**2 - 9*m + 6. Let g(h) = -11*h - 4. Calculate the remainder when g(-3) is divided by y(10). 13 Suppose -b = b - 18. What is the remainder when 33 is divided by b? 6 Suppose 5*h - 5*y - 90 = 0, -2*y
{ "pile_set_name": "DM Mathematics" }
269. Is d greater than or equal to m? True Let z = -89 + 89.181. Let u = 0.689 + z. Let d = -0.17 + u. Which is greater: d or -1/4? d Let o(x) = -3*x - 27. Let h be o(-10). Suppose 19*t = 22*t + h. Is t >= -1/24? False Suppose 10 = 3*c - h, 30 = 5*c - 0*c - 5*h. Let z = -173/2 - -88. Is c < z? False Let y be (-7 + 3)/(1 - 2). Let o be 8/y + 3 + 5. Let m be (10/(-80))/(1/o). Which is smaller: -1 or m? m Let w = -26/11 + 93/44. Is 323 at least w? True Let q(m) = -m**3 - m**2 + 5*m + 271. Let u be q(0). Which is bigger: 269 or u? u Let w = -0.052 - -11.052. Let m = -93.1 + 82. Let q = w + m. Are q and -0.3 unequal? True Let r be 252/(-4200)*(-1)/3*4. Which is bigger: 0 or r? r Let a = 9/6070 - 3629923/42490. Is a <= -84? True Let n be -3 + 25 + (2 - (2 + -4)). Is n smaller than 25? False Let i be 1/(-1) + -9 + 9. Let c be i/2*14/7. Is 2/31 >= c? True Let d(u) = u**3 - u**2 - 2*u + 189. Suppose 0 = 4*n - 0*n. Let i be d(n). Let k be (-30)/(-105) - 68/i. Which is smaller: k or 0? k Suppose -5*l - 3 = -2*y, -4*l + 2 - 5 = -y. Let v be (-21)/(-54)*(400/105)/20. Is v < y? False Suppose 15 = -h + 4*h. Suppose 3*a + 9 + 5 = -h*g, g = 4*a - 12. Suppose 4*m = -3*u + 2 - 1, 0 = -a*u + 2*m + 10. Is u bigger than 3? False Let c = 0.36 - 0.54. Let b = -37.81 - -38. Let g = c + b. Is g at most as big as 0.1? True Let w be 12*(1 - 0) + 2. Let x(i) = 6*i + 7 - 6*i**2 - 7*i**3 + 8*i**3 - w*i. Let l be x(7). Is l equal to -3/4? False Suppose -5*c = 20 + 15. Let p(d) = -d**2 - 15*d - 4. Let a be p(c). Let h be 9/(-15) - a/(-20). Does 7/4 = h? False Suppose -3*b - 2*b = 10. Let h be (-4)/6*(-6)/(-4). Let o = h + 0. Which is smaller: b or o? b Suppose 0 = -4*n + 12, 9 = -5*m - 3*n + 3. Let t be (-5)/15 + (-1)/m. Which is bigger: -2/47 or t? t Let c = 35/104 - 6/13. Let h = c - -3/8. Let a = 25/14 + -16/7. Is a greater than or equal to h? False Let x = 0.996 + 0.004. Let k = -0.55 + 0.6. Let s = k + -4.05. Is x less than s? False Let g be 15925/845*6/(-7). Is g bigger than -17? True Suppose 0 = 3*p + 4*g - 2, 0 = p - 0*p - 4*g - 22. Suppose -8 + 4 = -2*n. Let d be n/(-5) - (-156)/65. Are p and d equal? False Let h(w) = 2*w**3 + 8*w**2 + 4*w - 9. Let o be h(-5). Do o and -79 have the same value? True Suppose -3*j - 3 = 2*k, -5*j - 2*k - 3*k - 10 = 0. Let i be (-1597)/(-90) + -3 - -5. Let v = i - 99/5. Which is smaller: j or v? v Let y(x) = -4*x + 71. Let w be y(18). Which is greater: -4/265 or w? -4/265 Let p = 0.217 - -0.013. Let h = p + -0.13. Let a = 0 + h. Which is greater: 2/11 or a? 2/11 Suppose 5*i + 5*s - 1035 = 0, -2*i + 7*i = -s + 1039. Are i and 209 equal? False Let l be (-154)/4*(8 + -4). Let q be 4/18 - l/(-126). Do -0.17 and q have different values? True Let q = 27/28 - 4589/4788. Which is smaller: q or 1? q Let n = 0.78 + -8.68. Let u = -8 - n. Let p = 19 - 18. Are u and p unequal? True Let l(h) = -h**3 + 18*h**2 + 65*h - 23. Let g be l(21). Let o be 37/2 - 7/(-14). Is o >= g? True Let t(p) = -2*p**2 + 2*p + 3. Let n be t(-4). Suppose -31*c + 69 = 7. Which is smaller: c or n? n Suppose 3*p = -34 - 8. Let k be p/77 + (-229)/11. Let x(y) = -y - 20. Let i be x(0). Is k bigger than i? False Let w be 4 - (9 - (7 - 3)*1). Suppose 0 = -5*d + r + 24, 0*d + d - 4*r = 20. Which is smaller: w or d? w Let r = -9 + 23. Suppose 19*h + 15 = r*h. Is -3 <= h? True Let f be (0 + (-1)/2)/(23/9062). Which is smaller: f or -198? -198 Let r = 133/10 + -2301/170. Let l(b) = -15*b - 16*b + 8 + 30*b. Let k be l(7). Is k at most r? False Let l(w) = -w + 35. Let x be l(-11). Suppose -x - 106 = 8*y. Suppose 0 = -5*p, 5*p - 2*p = 5*z + 90. Which is smaller: z or y? y Let b = -131 + 229. Let z = 88 - b. Is z != -16? True Let y = 0.32 - -474.68. Is y <= 1? False Let p = -388 + 390. Let m be (-5)/2*(-1 + -11). Suppose -c = p*c + m. Is -10 at most as big as c? True Suppose 0 = -34*q + 31*q. Is 90 equal to q? False Suppose -2*i - i - 3 = 0. Let p be 162/14 - 30/(-70). Let c be 8/(-3)*1/p. Which is smaller: i or c? i Let p be (5 - (-39)/15)/((-3)/15). Let n = p - -25. Is -13 bigger than n? False Let c = 0.016 - 41.016. Let b = 41.1 + c. Which is greater: 4 or b? 4 Let k = -143 + 311. Let q be 426/k + 6/(-21). Which is smaller: q or 3? q Let i = 51.1 - 50. Let h = 0.1 - i. Is h smaller than 2? True Suppose -2*z + 3*z + 178 = 0. Let w be z/172 + 4 + -3. Is w at least as big as 1? False Let p = -26.92 - -27. Let m = 5.08 - p. Which is smaller: 1 or m? 1 Let n be ((-6)/4)/((-4)/96). Suppose -4*h - n = -4. Which is smaller: h or 0? h Let a = 1629 + -448. Which is smaller: 1182 or a? a Let r = -101.8 + 103.8. Let t = 7 - 15. Which is smaller: t or r? t Suppose y + x - 14 = 0, 2*y - 3*x = 2*x. Suppose -5*l - y = -0*w + 5*w, -4*l + 19 = -5*w. Is l at least -1/28? True Let s = 8 + -6. Suppose -v - 3*f = -7, 0 = -3*v - 2*f - s + 9. Let l = -1157/23940 + -2/1197. Which is greater: l or v? v Let j(q) be the second derivative of q**4/6 - q**2/2 - 2*q. Suppose w = 4*a + 1, -3 = -3*a + 3*w + 3. Let l be j(a). Is 0 not equal to l? True Let c be (-6)/(-4) + 198/12 + -3. Let d be (105/(-20))/(c/12 - 1). Which is smaller: -22 or d? -22 Let r = -0.18 - 0.72. Let d = -3.1 + r. Let j = 5 + d. Which is smaller: 0 or j? 0 Let q(h) = h**3 - 6*h**2 + 2*h - 6. Let a be q(6). Suppose -4*f = -x + 4 - 13, x = f - a. Let u be (6/4)/((-9)/12). Are u and f equal? False Let n = -509 - -512. Let u = 520/3 - 171. Which is greater: n or u? n Let a be -2*(-3)/4 - (-98975)/(-214). Is a less than or equal to -461? True Let i = -52 - -47.1. Let f = 5 + i. Does -16 = f? False Let d = -0.11 + -2.79. Let j = -27.9 - d. Which is bigger: j or 2/9? 2/9 Suppose -24*j - 71 = 217. Is j equal to -37? False Let i(d) be the third derivative of -d**4/3 - d**3 + 7*d**2. Let z be i(-3). Suppose 0 = n + n + z. Which is bigger: n or -8? -8 Let n(j) = j**2 - 4*j - 2. Let m be n(5). Suppose 0 = -m*l + 5*h - 31, -l + 8 = -0*l + 2*h. Is l bigger than 17? False Let a(t) = 2*t**3 - t - 8. Let n be a(4). Let v = n + -81. Suppose -3*p = 2*p + v. Which is smaller: p or -2? p Let s(l) = 18*l**2 - 19*l - 77 + 77 + l**3. Let c be s(-19). Is 3/37 greater than or equal to c? True Let z = -3.2 + 3. Let u = -47 + 52. Let q = -8 - u. Is z >= q? True Suppose 0 = b, 4*f + b = 3*b - 192. Which is bigger: f or -46? -46 Let b(w) = 2*w**2 - w - 106. Let s be b(-7). Which is greater: -144 or s? s Let n be (36/78)/(25/(-1025)). Which is smaller: n or -2? n Let n = -13 + 19. Let g = 11.2 - 17. Let p = g + n. Does 4 = p? False Let q = 44 - 42. Suppose -4 = b - q*b. Suppose 2*x - 3*x + 1 = 0. Which is smaller: x or b? x Let c = -17.6 - -17. Let b = 7.4 - c. Is -1/5 less than or equal to b? True Let y = 8394/4853 + -40/23. Which is smaller: -1 or y? -1 Suppose 26*i = 21*i + 5. Let c be ((-27)/18)/(i/(-2)). Which is smaller: c or 7? c Let t = -1040 - -972. Which is smaller: -3 or t? t Let p be (-6)/16 + (2 - 398/240). Which is smaller: p or 2? p Let h(p) = -p**2 - 19*p - 85. Let u be h(-7). Is u at most 3/190? True Let g(i) = -4*i**2 - 28*i - 28. Let b be g(-11). Is -207 at least as big as b? False Let l = 19 + -15. Let b(v) = -2*v - 3. Let d be b(l). Which is bigger: -10 or d? -10 Let q be 140/(-12)*-3*2/9. Let o = 68/9 - q. Let t = -5 + 8. Is t > o? True Let k(y) = -20*y - 424. Let l be k(-22). Which is smaller: 12 or l? 12 Let s = -1516/13 + 115. Let q = -522 + 519. Which is greater: s or q? s Let u = 10428 - 42161/4. Let o = -23 + -90. Let k = o - u. Which is bigger: k or -0.1? -0.1 Let u be 146/30 - (10 - 5). Is 46 less than u? False Let j(x) = -x**3 - x**2 + x + 3. Let r(i) = i - 8. Let d be r(8). Let q be j(d). Suppose 4*h = -3*z - z - 12, 0 = 2*z - q*h - 19. Is 3 >= z? True Let u = -90 + 154. Suppose -4*f - u = -112. Let o = -12 + 25. Is f at least as big as o? False Let h be (3 - 4) + (-21)/(-15). Which is smaller: h or 1.1? h Suppose -66 = 2*l - 74. Suppose 25 = 5*p, r = l*p + 35 - 114. Which is smaller: r or 0? r Let x = -2 + -3. Let o be -1 + (120/(-9))/x. Let c(m) = 3*m**2 + 26*m - 8. Let f be c(-9). Which is smaller: f or o? f Let q(v) = 7*v**2 - 3*v - 7. Let k(p) = 11*p**2 - 5*p - 11. Let b(u) = 5*k(u) - 8*q(u). Let s be b(0). Which is bigger: s or -2/9? s Let b = 73747428341 + -106860016748068/1449. Let f = b + -42955/9. Let p = f - 10/23. Is -2/7 at mos
{ "pile_set_name": "DM Mathematics" }
-99387? -99384 In base 9, what is -1 - -1152161? 1152160 In base 3, what is 1222022101 - -11? 1222022112 In base 11, what is -28 - -8260? 8233 In base 4, what is 200132002 + 0? 200132002 In base 5, what is 1000 + 20212? 21212 In base 10, what is -10380 + 2? -10378 In base 6, what is 110 + -223344? -223234 In base 14, what is 3666 - 2d? 3637 In base 11, what is -2 + 31583? 31581 In base 12, what is -46 + 69? 23 In base 5, what is -2412 + 213013? 210101 In base 8, what is 614 - -406? 1222 In base 3, what is 0 - 122122110? -122122110 In base 8, what is 0 + -156705? -156705 In base 15, what is -1940 + -e? -194e In base 3, what is -20000022212 + 1? -20000022211 In base 8, what is -20063 - 106? -20171 In base 11, what is a4050 - 6? a4045 In base 6, what is -400352 - 31? -400423 In base 9, what is -163 - -550? 376 In base 5, what is -1430402 - -10? -1430342 In base 5, what is 1 - -42402? 42403 In base 13, what is 250b + b6? 25c4 In base 11, what is -14095 + -4? -14099 In base 11, what is 8 - 1174? -1167 In base 14, what is 2717c - 3? 27179 In base 11, what is -a - 61294? -612a3 In base 6, what is 4 + -1040141? -1040133 In base 4, what is -1220212 + -10? -1220222 In base 3, what is -12002020211 + 1? -12002020210 In base 14, what is -1c8c7 + 5? -1c8c2 In base 7, what is -3 - -63? 60 In base 10, what is 12 + -305110? -305098 In base 6, what is -5 - -2045251? 2045242 In base 11, what is -434 - 426a? -46a3 In base 7, what is 234 + -53? 151 In base 4, what is 22321 + 1132? 30113 In base 9, what is 3 - 45848? -45845 In base 2, what is 1000000101100 + 10111? 1000001000011 In base 5, what is -3 + 110113? 110110 In base 9, what is 6386 - 154? 6232 In base 8, what is -26513 + 3? -26510 In base 4, what is -1331 + -300101? -302032 In base 9, what is -2188252 + 2? -2188250 In base 4, what is -33323330 + 3? -33323321 In base 5, what is 1024344 - 434? 1023410 In base 2, what is -100 - -1010010101100000? 1010010101011100 In base 10, what is -16567 - -54? -16513 In base 10, what is -693 - 321? -1014 In base 16, what is -31c9 - 0? -31c9 In base 8, what is -1453 - -34? -1417 In base 16, what is -7af4 + -2? -7af6 In base 16, what is -2d - -51? 24 In base 8, what is -140 - 216? -356 In base 9, what is -8640 + 2? -8637 In base 6, what is 11 + -51332? -51321 In base 14, what is -104 + -166? -26a In base 16, what is c + 48f32? 48f3e In base 16, what is 1 - -d8a1b? d8a1c In base 9, what is 801 + 80? 881 In base 11, what is 783 - -355? 1028 In base 10, what is 907876 - -5? 907881 In base 15, what is -2d - -c5c? c2e In base 15, what is 3 + -240b? -2408 In base 2, what is 1010010001011110001 - -11? 1010010001011110100 In base 13, what is 63454 - -5? 63459 In base 4, what is 1220 - -13111? 20331 In base 5, what is 3111 - -213424? 222040 In base 16, what is 18841 - -3? 18844 In base 8, what is -2434 - 40? -2474 In base 16, what is 106ec7 + 2? 106ec9 In base 6, what is -25 - 10100? -10125 In base 2, what is -1001011 - -1101100111101010? 1101100110011111 In base 2, what is 11010111101000 + 1? 11010111101001 In base 5, what is 23 - -202302? 202330 In base 15, what is -504e9 + -4? -504ed In base 14, what is -2 + -8550? -8552 In base 12, what is 240 + 303? 543 In base 7, what is 15234 - 24? 15210 In base 5, what is 1024 + 1210? 2234 In base 8, what is 16 - -17162? 17200 In base 12, what is -b23a + 68? -b192 In base 14, what is -27b - 41? -2bc In base 5, what is 102342 - 3? 102334 In base 11, what is 123a - -10? 124a In base 12, what is -204 - b28? -1130 In base 14, what is -466 + -23? -489 In base 4, what is -11023023 + 10030? -11012333 In base 12, what is -5 - -1963? 195a In base 6, what is 3 + -13414241? -13414234 In base 12, what is -3 + 118017? 118014 In base 11, what is -13472 - -11? -13461 In base 13, what is 101 - -4? 105 In base 4, what is -101212 + 231? -100321 In base 16, what is -319 - -a6? -273 In base 4, what is -1011212133 + -2? -1011212201 In base 13, what is -2 + -4485a? -4485c In base 16, what is -3 - 6e01d? -6e020 In base 10, what is -457 - 20? -477 In base 12, what is -880 + -35? -8b5 In base 11, what is 4 - -6258? 6261 In base 3, what is 20 + 220200200020? 220200200110 In base 13, what is -1 + -13499? -1349a In base 14, what is -3ad + 2c? -381 In base 15, what is 4797 + -2? 4795 In base 7, what is 3 - 6421320? -6421314 In base 3, what is -12210 - 1002001? -1021211 In base 6, what is 2114 - -20? 2134 In base 7, what is 12616 + -1? 12615 In base 3, what is 12 + -2001100221100? -2001100221011 In base 9, what is 224 - 1005? -671 In base 3, what is -2 - 2200220001? -2200220010 In base 11, what is 9 + -65? -57 In base 13, what is -200 - 944? -b44 In base 9, what is 0 - -57403? 57403 In base 16, what is 382 - 231? 151 In base 6, what is 111325410 - -2? 111325412 In base 8, what is -24 - 3574? -3620 In base 2, what is -100010000000 - -1011010000? -10110110000 In base 8, what is -1470 - -123? -1345 In base 5, what is 23314 + -4? 23310 In base 5, what is 11 - 2400201? -2400140 In base 9, what is 3 - 180652? -180648 In base 12, what is -2194 - -206? -1b8a In base 9, what is 420615 - -4? 420620 In base 13, what is -21936 + 35? -21901 In base 13, what is -2a7c3 - -5? -2a7bb In base 13, what is 168 - -156? 2c1 In base 9, what is 5 - -826468? 826474 In base 15, what is 431 - -30? 461 In base 13, what is 271120 - 1? 27111c In base 15, what is 7b22 - -34? 7b56 In base 10, what is 490 - -9? 499 In base 10, what is 1 - 9711? -9710 In base 8, what is -1 - 1655652? -1655653 In base 6, what is 243234 - 1? 243233 In base 11, what is -3 - 7348? -7350 In base 3, what is -10 + -1001000112220? -1001000120000 In base 5, what is 20433 + 4023? 30011 In base 8, what is -674 - 71? -765 In base 4, what is 1 - -1230131? 1230132 In base 13, what is 2047 + 6? 2050 In base 2, what is 1000111000000100100001 - -100? 1000111000000100100101 In base 6, what is 2 + 104454? 104500 In base 8, what is 41 - -2037? 2100 In base 3, what is -120 + -200022111? -200100001 In base 2, what is -10101110011101001 + -1? -10101110011101010 In base 12, what is -2297 - -6? -2291 In base 6, what is 34 + -100300? -100222 In base 13, what is -137a - -4? -1376 In base 5, what is 12030 + 1213? 13243 In base 14, what is 444 + 33d? 783 In base 11, what is 1929 + -14? 1915 In base 14, what is 10 + 7520? 7530 In base 4, what is 10103210 + -1022? 10102122 In base 8, what is 50076 - -12? 50110 In base 13, what is -2846 - 301? -2b47 In base 4, what is -2 + 121233? 121231 In base 11, what is -201 + -37? -238 In base 12, what is -57 + -101? -158 In base 2, what is 1 - 11100001010011111001? -11100001010011111000 In base 9, what is -3 - 150688? -150702 In base 15, what is 56 - -3c53? 3ca9 In base 16, what is 1ddf - -a? 1de9 In base 12, what is -1aa + 596? 3a8 In base 13, what is a + -72a5? -7298 In base 9, what is -25883 + 11? -25872 In base 15, what is 9947 - 0? 9947 In base 16, what is -4 - 54ec2? -54ec6 In base 2, what is -110110100 - 10110010? -1001100110 In base 9, what is 1 + -25061? -25060 In base 15, what is d4 - -1e23? 2007 In base 16, what is -26e1 - -5? -26dc In base 8, what is -3 + 47570? 47565 In base 5, what is -3 - 204034402? -204034410 In base 13, what is -1 + -140432? -140433 In base 10, what is 113 + -467? -354 In base 13, what is 4 + 4069? 4070 In base 6, what is -453 - 401? -1254 In base 11, what is 1746 + 172? 1908 In base 14, what is -981439 + 3? -981436 In base 6, what is -113 + 40044? 35531 In base 16, what is 2 + -163? -161 In base 8, what is 227 - 1140? -711 In base 4, what is -11 - 220110? -220121 In base 13, what is 1a3066 - 4? 1a3062 In base 8, what is -175301 - 1? -175302 In base 7, what is -13222 - 24? -13246 In base 12, what is 0 - -4178? 4178 In base 5, what is 20200 - -4111? 24311 In base 14, what is 6 + 200d8? 20100 In base 2, what is -101 + -100110100000? -100110100101 In base 14, what is -25b - -22? -239 In base 6, what is -2315 + 5352? 3033 In base 13, what is -9431 + 4? -942a In base 4, what is 11 - 20133133? -20133122 In base 8, what is 126 + 2011? 2137 In base 14, what is 92 - 4596? -4504 In base 2, what is -1010101 - -110001? -100100 In base 7, what is 530 - 1101? -241 In base 5, what is 142333 - 400? 141433 In base 9, what is -2231 - -13? -2217 In base 3, what is 2002 - 112201? -110122 In base
{ "pile_set_name": "DM Mathematics" }
-5*c - 3*y. Is c composite? True Is ((-18)/(-12))/(3/262) a composite number? False Suppose 3*y + 297 = 3*d, 5*d + 0*d - 2*y - 489 = 0. Is d a composite number? False Let m = -1 - -1. Suppose 4*i - 2*f + m*f - 14 = 0, -5 = 2*i - 5*f. Suppose 3*x = -4*r + 87, -8*x + 3*x = -i. Is r prime? False Let z(p) = 33*p - 4. Is z(9) a composite number? False Suppose -2*j + 4 = -0*j. Is j*1*57/6 composite? False Let r(n) = 4*n - 3. Is r(13) a composite number? True Suppose -2*t - 16 = -854. Is t prime? True Let j(z) = -z**3 - 12*z**2 + 5*z + 2. Let o be j(-6). Is 2/(-11) + o/(-11) prime? False Let w(l) = 3*l**2 + 11*l + 4. Let o(q) = -q**3 - 5*q**2 - 3*q + 2. Let f be o(-3). Is w(f) a composite number? True Let r = 15 - 9. Is ((-9)/r)/3*-50 a prime number? False Suppose 6 = y + 2*z - 9, 4*y = -3*z + 35. Suppose 0 = -3*g, y*c - 561 = -3*g + 214. Is c a prime number? False Suppose -2*y - 66 = 74. Let t = y + 189. Is t composite? True Suppose 0 = -d + 6*d + 4*p + 3, 5 = -5*d - 5*p. Let x be d + (-70)/(3/(-3)). Let y = 138 + x. Is y composite? True Let n = -3426 + 5761. Is n composite? True Suppose 5*k - 4*y = -5 - 0, -k = 5*y - 28. Suppose 0 = -5*w + k*w + 158. Is w a prime number? True Let q = 134 + 227. Let j = 715 + -495. Let v = q - j. Is v prime? False Let g = -58 + 104. Let t(f) = -2 + 3 + g*f**2 - 9*f**2 - f. Is t(1) a prime number? True Let a(q) = 3*q - 13. Is a(9) prime? False Let l(y) = y + 1. Let z(u) = -17*u**2 + 2*u + 10. Let q(w) = 5*l(w) - z(w). Is q(3) prime? True Let r(m) = -m**3 - 6*m**2 - 2. Let n be r(-6). Is (-2)/(n + 1) + 23 a composite number? True Let f(x) be the first derivative of -3*x**4/4 + x**3/3 + 3*x**2/2 + x + 3. Is f(-2) composite? False Suppose 3*x = -3*h - h + 2059, 5*h + 5*x = 2570. Is h a prime number? False Let q(f) = -108*f - 7. Is q(-6) prime? True Suppose 3*a = 2*c - 7 + 25, 0 = -2*a - 2*c + 12. Let m(d) = d**2 - 3*d + 2. Let h be m(2). Suppose h = x - a*x + 1255. Is x a prime number? True Is 6/(-12)*2*-15 prime? False Let n = 1040 - 633. Is n a composite number? True Let q be 20/(-8)*182*-1. Suppose q = m + 4*m. Is m prime? False Let w(r) = r. Let k be w(4). Let b = k + -14. Let n(y) = y**2 + 5*y - 11. Is n(b) a prime number? False Suppose 0 = -4*m - 5*x + 3505 + 3498, 2*m + 2*x - 3504 = 0. Is m a composite number? True Let w(a) = 2*a**2 - 2*a - 5*a**3 - 6*a**3 + 1 + 5*a. Is w(-2) a prime number? False Let z = -2 - -4. Let q be -3 + (5 - z) - -2. Suppose -q*h + 0*h + 14 = 0. Is h a composite number? False Suppose -4*c - 6 = -6*n + 4*n, 0 = 3*c - 4*n - 3. Is c/((-6)/(-29))*-14 a prime number? False Is (421 + -3 + 1)/1 a composite number? False Suppose 0 = -3*n - 4*i + 24, -3*n + 15 + 0 = i. Let f(u) = u**2 - 2*u - 2. Is f(n) prime? False Let g be (5*-7)/(-1 + 0). Suppose 0 = -3*w + g - 2. Is w composite? False Suppose 0 = 2*i - 0*i + 62. Suppose -36 = -u + 4*u. Let x = u - i. Is x prime? True Suppose -4*d - 1588 = -2*y + 1118, 2*y - 2716 = 2*d. Is y a prime number? False Let l(s) = s**3 + 12*s**2 - 13*s + 11. Let b be l(-13). Suppose -b*g + 4*g = -1043. Is g composite? False Suppose t - 1678 = -13*h + 8*h, 5*t - 4*h - 8535 = 0. Is t prime? False Let u(z) = -15*z + 6 + 3*z**2 + 5 + 5*z. Is u(8) composite? True Let m be 0 - -38 - (-2 - -3). Let j = m + 15. Suppose 2*r = 5*l + j, -2*r - 2*r + 94 = -5*l. Is r composite? True Let m(n) = -4*n**3 + n**2 - 1 + n**2 - n**2 - n. Let o be m(-1). Suppose 2*h - p = o*h - 142, p + 201 = 4*h. Is h a prime number? False Suppose 0*d - 80 = -8*d. Is d prime? False Suppose -1026 = -5*a + 109. Suppose -2*r + 595 = 5*b, -2*b + a = 4*r - r. Is b composite? True Is 7/28 - ((-36286)/8 - -1) prime? False Let m = 666 + -326. Suppose -4*u + 3*d + m = 0, u + 80 = 2*u - 2*d. Suppose 6*v - 2*v = u. Is v a composite number? True Let q(i) be the second derivative of i**4/6 - 2*i**2 - 6*i. Is q(7) a prime number? False Is 25228/36 + 10/45 prime? True Let i = 0 - -32. Let a = i - 13. Is a prime? True Suppose 0 = -4*f - f + 20. Let u(o) = -o**2 + 5*o - 2. Let y be u(f). Suppose -y*b = -2, 0*x - 3*x - 2*b = -113. Is x a composite number? False Let m(r) be the second derivative of -11*r**3 + 2*r**2 + r. Let c be m(-4). Is (c/16)/((-2)/(-8)) composite? False Let z be 172 + (-3 - -5) + 1. Let q = z + -108. Is q a composite number? False Suppose 5*f = 8 - 3. Let g(b) = 191*b. Is g(f) a composite number? False Suppose 0 = -5*w + 3*z + z + 27529, 0 = 5*w - 3*z - 27533. Is w prime? False Suppose 876 = 5*g + 26. Suppose o = -o + g. Is o prime? False Let b(p) = -p**3 - 2*p**2 + p + 3. Is b(-8) composite? False Is (27400/(-60))/(2/(-3)) prime? False Suppose -3 = -l - 0*l. Suppose 125 - 386 = -l*g. Is g composite? True Is 8715/7 + 4 - (-2 - -2) prime? True Suppose -i = 5*w - 0*i - 4540, 3*w = -4*i + 2741. Is w prime? True Suppose z - 6 + 2 = 0. Suppose -z = -k - 2*o, 3*o = -k + 2*o + 5. Suppose -t - 30 = -k*t. Is t composite? True Let g(f) = -f**2 + 7*f + 4. Let m be g(7). Suppose 0*x - m*x + 12 = 0. Suppose x*t - 43 = 2*t. Is t composite? False Suppose 4*g - 2791 - 3069 = 0. Is g composite? True Let k(i) = -2*i**3 + 5*i**2 + 3*i - 1. Let n(s) = -3*s**3 + 5*s**2 + 3*s. Let p(g) = 4*k(g) - 3*n(g). Let a be p(-3). Is (3 - a)*23/(-2) prime? True Suppose 0*u + 2*u + 86 = 0. Let x(l) = -l**3 + 7*l**2 + l + 5. Let q be x(7). Let j = q - u. Is j a prime number? False Let x = 7 + -3. Suppose -10*g + 12*g = 188. Is (-21)/14 + g/x prime? False Let h(l) = 2*l + 5. Let s(j) = j**3 + 4*j**2 - 6*j + 3. Let m be s(-5). Is h(m) a composite number? True Let i = 12717 + -2852. Is i a composite number? True Suppose 324 = 3*n - 3*r, n + 3*r = r + 123. Is n a prime number? True Suppose 0 = 4*b - 8101 + 905. Is b a composite number? True Suppose 0 = -2*x + 7*x - 20. Let z = x + -6. Is -2 + z*1 + 23 composite? False Let j(m) = -m**3 - 7*m**2 + 13*m - 7. Let w = -4 + -6. Is j(w) composite? False Let j = 2 - 0. Let d be 1 + 2 + (j - 2). Suppose 0 = -0*o - d*o + 921. Is o a composite number? False Let q(x) = -x**3 - 4*x**2 - 8*x. Is q(-7) a composite number? True Suppose 0*w - 12652 = -4*w. Is w prime? True Suppose 3*i + 715 = 5*q - 195, 5 = q. Let k = i - -197. Is (-12)/8*k/3 a prime number? False Suppose -2*h = 2*h - 656. Let f(c) = 63*c + 3. Let m be f(4). Let j = m - h. Is j a composite number? True Let h(p) = 5*p**3 + 4*p**2 + 2. Is h(5) composite? False Suppose -57 = -4*f - v, -3*v = 7*f - 2*f - 73. Let d = 27 - f. Is d a composite number? False Let q be (-1)/((15/(-9))/5). Suppose 0 = q*k - t - 53 - 51, 178 = 5*k + 3*t. Is k composite? True Suppose -632 = -3*w - 2*z, -5*w - z + 0*z + 1044 = 0. Suppose -5*m = -3*f - 171 - 52, 5*f = -4*m + w. Is m a composite number? False Let j = 69 - -240. Is j a prime number? False Let s = -1553 - -2182. Is s a composite number? True Suppose 114*y - 103160 = 106*y. Is y a prime number? False Suppose -2*l + 592 = 14. Suppose -3*u = -s - l, 2*s + 396 = 4*u - 2*s. Is u a prime number? False Is (-1 - (-2)/6)/((-12)/79578) prime? True Suppose 0 = -4*v + 16975 - 5115. Is v a composite number? True Let u(d) = 12*d**2 + 2*d + 7. Is u(6) composite? True Suppose 2*q = -4*s - 3*q + 1671, -5*s + 2096 = -q. Is s a composite number? False Let j(x) = 3077*x + 26. Is j(3) a prime number? True Let m be ((-3)/(-2))/(3/6). Suppose -2*j = -d + 41, m*d - 4*d + 41 = 5*j. Let a = d + -4. Is a a composite number? False Let y be (-47640)/(-36) + (-4)/(-6). Let w = y + -853. Is w a prime number? False Let x = -146 - -309. Is x a prime number? True Is 3/3 + (-294)/((-4)/4) a composite number? True Let m(f) = f - 1. Let l be m(-6). Let j = l - -12. Suppose j*t = t + 124. Is t a prime number? True Suppose -3*l + 4*z + 182 = 5*z, 0 = -l + 4*z + 39. Suppose 0 = 2*a - l - 89. Is a prime? False Suppose -4*u - 3*r - 12 = 3, 3*u = -3*r - 15. Suppose u*x + 2*x + 16 = 0. Let a(l) = l**2 + 9*l + 11. Is a(x) a prime number? True Is (15/(-21) - -1) + 21486/14 a composite number? True Let v = -939 + 1356. Is v a composite number? True Let b(k) = 149*k - 3. Let y be b(2). Let m = y - 164. Is m a prime number? True Let j(u) = -10*u + 9. Suppose 0 = -2*w + 4*i - 28, -6*w + 2*w - 4*i - 56 = 0. Is j(w) composite? False Let v be ((-3)/(-2))/((-2)/(-4)). Suppose 0 = -2*k + 3*k - 4. Suppose v*i - 136 = -7*t + 2*t, k*i = -4*t + 168. Is i comp
{ "pile_set_name": "DM Mathematics" }
3)*(-368*h - 84*h - 208*h + 148*h - 3)*(-2 + 1 + 2) as g*h**3 + t*h**4 + i*h**2 + o + a*h and give g. 3 Rearrange 356*v**3 - 1 - 2*v + 4*v**4 - 2*v**2 - 3*v + 385*v**3 - 724*v**3 + 9*v to the form b*v**3 + o*v**4 + h + u*v + x*v**2 and give u. 4 Rearrange (1 + 1 - 4 + (-6 + 4 + 0)*(0 + 3 - 2) + 0 + 0 + 3)*(34*d - 41*d + 54 + 6) to the form m + j*d and give m. -60 Rearrange (4 + 7*f**2 + 7 - 6*f**2)*(-3761*f**2 + 1870*f**2 + 1767*f**2 - 3*f) to h*f + r*f**3 + z*f**2 + v*f**4 + p and give z. -1364 Rearrange (-2 - 3 + 1)*(3*v - 4 + 5 - 2*v)*(-171 - 3284 + 200) to z*v + t and give t. 13020 Rearrange 2*h**2 + 11 + 15*h**3 - 12 + 19*h - 3*h + 34*h**3 - 9*h to j*h**3 + m*h + t + i*h**2 and give t. -1 Express -113 + 113 + 15*u**2 + 615*u - 21*u**2 in the form k*u**2 + s*u + n and give k. -6 Express 2125*k**4 - 2*k**2 + 2102*k**4 - 1 - 3*k - 4333*k**4 - 3*k**3 in the form m + n*k**3 + t*k**2 + j*k + q*k**4 and give n. -3 Express -95264*m + 85 - 192*m**2 + 95266*m + 3*m**3 + 0*m**3 - 87 in the form d + n*m**3 + v*m + q*m**2 and give d. -2 Rearrange (10 - 7 - b - 2*b**2 + 1)*(1945 - 1929 - 1707) to o*b + m*b**2 + k and give o. 1691 Express -5628*u**2 + 36*u - 5625*u**2 + u**3 + 2*u**4 + 11252*u**2 - 3*u**4 - 2 in the form x*u + w*u**3 + n*u**4 + z + h*u**2 and give x. 36 Express (13585 + 31206 - 7668 + 36637)*(3 - 3 - 2*v**3) as r*v + q*v**3 + b + k*v**2 and give q. -147520 Express -2211*q - 2989*q**2 - 2185*q**2 - 225*q**2 + 554*q**2 + 2213*q in the form a + u*q + t*q**2 and give u. 2 Express (588657 - 198*t**2 - 588657)*(2 - 2 + t + (t + 0 + 0)*(3 + 2 - 3) + 1 + 2*t - 6 + 4) as l + z*t**2 + q*t + o*t**3 and give l. 0 Express -9844*n**2 - 1129*n**2 - 15522*n**2 as y*n + f*n**2 + t and give f. -26495 Express (-19689 + 19689 - 98*f**2)*(12*f**2 + 75*f - 92*f - 3 + 3) as y*f**4 + s*f**2 + c*f**3 + a + r*f and give r. 0 Rearrange -7*g**3 + 6604*g**2 - 2*g + g - g**4 - 6607*g**2 to the form y + q*g**4 + v*g**3 + j*g + t*g**2 and give j. -1 Express (-1 + l**2 + 1)*(11*l - 8*l - 9*l)*(13*l - 141*l + 6*l)*(-8 + 2 + 0) as v + c*l + r*l**2 + j*l**4 + t*l**3 and give j. -4392 Express 88 - 28*t + 52 + 52 - 179 as b + n*t and give n. -28 Rearrange 177*u**2 - 349*u**2 - 16*u**3 - 4 + 43*u**3 - 12*u + 174*u**2 to x*u**2 + y + w*u**3 + i*u and give w. 27 Rearrange (-11*n + 7*n + 0*n)*(119 + 9 + 60)*(0 + 0 - 2*n**3) to x*n + d*n**4 + f + u*n**2 + s*n**3 and give d. 1504 Rearrange (-3*f - f + 5*f + (3 + f - 3)*(4 + 2 - 4) - 1657 + 639*f - 1262*f + 625*f)*(f**2 - 3*f**2 + 4*f**2) to d*f**2 + l + t*f**3 + x*f and give d. -3314 Express -316*l**3 - 8 - 6*l + 148*l**3 + 7*l + 158*l**3 as s + p*l**2 + n*l**3 + a*l and give a. 1 Express -38061*o**4 - o - 2*o**2 + 1 - 47*o**3 + 38063*o**4 - o in the form h*o**4 + g*o**3 + p*o**2 + t*o + c and give c. 1 Rearrange (8*r - 16*r**3 - 6*r - r)*(-503*r + 0 - 1 + 495*r) to the form a + l*r**4 + f*r + j*r**2 + g*r**3 and give l. 128 Rearrange ((-5*v**2 + 6*v**2 - 2*v**2)*(3*v + 0*v - 2*v) - 20*v + 33*v**3 + 20*v**3 + 19*v)*(-5 + 0 + 4) to the form r*v + c*v**2 + t + d*v**3 and give d. -52 Rearrange (-229*o - 244965 + 244965)*(-1 + 0 + 4)*(2*o - 4*o**2 - 2*o) to the form h*o**3 + m*o + v + p*o**2 and give h. 2748 Rearrange 7*b - 12*b**2 + 4656 - 4654 + 14*b**2 + 126*b**3 to a*b**3 + p + h*b**2 + k*b and give a. 126 Rearrange -35*a - 7 + 35*a + 8 + 2579*a**2 to the form i*a + t + u*a**2 and give u. 2579 Rearrange -62 - 8*y**4 - 10*y + 19 + 13 - y**3 + 32 + 4*y**2 to the form a*y**2 + h*y + m*y**3 + r*y**4 + f and give f. 2 Rearrange 2106*d**3 + 2*d**2 - 2108*d**3 - 45*d + 27 - 3 to the form m*d + t + a*d**2 + z*d**3 and give a. 2 Express (-1 + 4 - 2)*(1 - w - 1)*(11*w**3 + 1053451*w - 1053451*w) in the form d*w + r + f*w**2 + t*w**3 + o*w**4 and give o. -11 Rearrange (4567*o**3 - 2158*o**3 - 2236*o**3)*(-41 + 35 + 6*o - 3*o) to z*o**3 + h*o**4 + s*o**2 + u*o + w and give z. -1038 Rearrange -114*z**2 - 131 + 181*z**2 - 2*z - 68*z**2 to i*z + g + c*z**2 and give i. -2 Rearrange -6*j + 4*j**4 + 1431*j**3 + 2 + 2 - 2 - 1431*j**3 to s*j**4 + z + n*j**2 + d*j + i*j**3 and give z. 2 Rearrange (156*q**2 + 34*q**2 + 186*q**2)*(-43*q + 25*q - 18*q) to the form j*q**2 + m*q**3 + y*q + i and give y. 0 Express 464*w + 1491*w - 2 + 274*w in the form u*w + v and give v. -2 Rearrange -54734*q**2 + 21371*q**2 + 20844*q**2 to the form s*q + u + z*q**2 and give z. -12519 Express (0*r + 14*r + 26*r)*(-75 + 10 - 20) in the form b*r + g and give g. 0 Rearrange 4664*i - 2343*i + 3 - 2163*i - 5 to the form j*i + l and give j. 158 Express (22*s - 23*s - 9*s)*((2 + 3 - 6)*(1 + 2 + 0) + 5 + 7 - 3)*(3 - 3 + 2) in the form f + w*s and give w. -120 Express (-n - 4*n + 3*n)*(-10295762*n - 1941*n**2 + 10295762*n) as w*n + h*n**3 + m + a*n**2 and give h. 3882 Rearrange 2*z + 3*z - 18*z + 9*z - 10*z - 5*z - 3 - z + 3 + (1 + 2*z - 1)*(1 - 7 + 2) - 2*z - z + 2*z + 3*z - 3*z + z to b*z + a and give b. -28 Express -272*i**2 + 66*i**2 + 50*i**2 + (-2 + 5 - 2)*(-5*i**2 + i**2 + i**2) - 4*i**2 + 3*i**2 + 0*i**2 as w*i**2 + y*i + h and give w. -160 Express (-28 + 0 + 9)*(-2*a**4 + 2*a**4 + 5*a**4) + 149*a**2 - 149*a**2 + 16*a**4 in the form m*a + w*a**3 + t + p*a**4 + g*a**2 and give p. -79 Express (3*h + 0*h - 4*h)*(-585*h + 246 + 886 - 5*h**2 - 588*h + 1173*h) as k*h**2 + z*h + s*h**3 + g and give z. -1132 Express 8 + 2949*a - 2*a**3 + a**2 - 5910*a - 25*a**4 + 2962*a in the form b*a + l*a**3 + t + d*a**4 + u*a**2 and give l. -2 Express (0*f**2 - 3*f**2 + 2*f**2 + 4*f)*(-34485 + 34472 - 87*f + 85*f) in the form l + n*f**2 + i*f**3 + p*f and give i. 2 Rearrange 8346*b**2 - 21*b + b**3 - 6938*b**2 + 22*b to c*b**2 + p*b + t*b**3 + r and give p. 1 Express (-3*j**2 - 12*j**2 - 12*j**2)*(-3*j - 2*j + 4*j + (-j + 3 - 3)*(1 + 2 - 2) + (-39 + 56 + 71)*(3*j - 3*j + j)) as v*j**3 + h + q*j**2 + c*j and give q. 0 Rearrange 2 + 228816*r - 3 + 1 - 208966*r to q + k*r and give k. 19850 Express -50674 - 2*i + 25975 + 26170 as q + s*i and give q. 1471 Rearrange (-18 - 15*o**2 - o + 18)*(-52*o + 38*o + 161*o - 3*o**2) to the form f*o**3 + h*o**2 + r + z*o**4 + d*o and give h. -147 Rearrange (5*x + 12*x + 34*x)*(16 - 48 + 16) to r + d*x and give d. -816 Rearrange 0*b - 684 + 2*b + 929 + 14*b + b to q + n*b and give n. 17 Express -10*g**2 - 44*g - 2*g**4 - 10*g**3 + 1 + 0 + 8*g**2 + 1 + 4*g**3 in the form j*g**2 + v*g**3 + n*g + a + x*g**4 and give n. -44 Rearrange 2*l + 4*l - 5*l + (-3 - 4 + 5)*(0 - 2*l + 0) - l + 3*l - l - 65*l + 134*l - 163 - 68*l + (1 - 1 - 2)*(l - 2*l + 0*l) to the form d*l + z and give z. -163 Rearrange -5011*n - 2449*n - 2403*n - 2270*n to s + h*n and give s. 0 Rearrange 1693*c**2 - 843*c**2 - 852*c**2 + 145 - 15*c**3 + c to the form h + d*c + x*c**3 + p*c**2 and give d. 1 Rearrange 2 - 179*z**3 + 52*z**4 - 11*z - 169*z**3 - 169*z**3 + 518*z**3 to q + f*z + h*z**4 + y*z**2 + o*z**3 and give q. 2 Rearrange -4443*z + 15211*z + 4411*z to the form k + h*z and give h. 15179 Express -86 - 180 - 601 - 2*g**2 - 582 as x*g**2 + j*g + l and give x. -2 Express -65*i + 135*i - 11*i**2 - 70*i - 7*i**2 + 150 in the form t + b*i + y*i**2 and give t. 150 Rearrange 132*r - 5*r**2 - r**4 + 17*r**4 - 2*r**4 - 2 + 2*r**3 - 127*r to the form z*r + k + o*r**4 + f*r**2 + i*r**3 and give f. -5 Rearrange -71*w**2 - 31 + 24 - 5*w - 78*w**2 + w**3 + 157*w**2 to a*w**3 + l*w**2 + c + t*w and give a. 1 Rearrange -f**3 + 0*f**3 - f**3 + (9473*f - 4963*f - 5768*f)*(10*f**2 + f**2 + 3*f**2) to the form z*f**3 + b + h*f + s*f**2 and give z. -17614 Express f - 393 + 776 - 2759*f**2 - 383 - 4*f as i*f**2 + q + a*f and give i. -2759 Rearrange 2 - 122*c**2 + 7 + c + 127*c**2 - 18*c**3 to the form v + g*c + u*c**3 + j*c**2 and give g. 1 Express 214*n**2 - 81*n**2 - 3*n**3 + 0 - 66*n**2 + 4 in the form a*n**2 + k*n + t + v*n**3 and give a. 67 Rearrange ((0*v + 0*v + v)*(-3 + 2 + 3) - 6 + v + 6 - 64 + 64 + 3*v - 4 - v + 4)*(-5 + 13 + 4) to t*v + h and give t. 60 Express -1598729189 + 1598729189 + 15204*y as u + n*y and give n. 15204 Express -331*a**2 + 7*a + 43 + 6*a - 45 - 6*a in the form z*a + v + m*a**2 and give m. -331 Rearrange -189 + 377 - 336*s**2 - 191 + 1 - 1 - s**2 + (-3*s**2 - s + s)*(1 + 1 + 1) + s - s**2 - s to b + w*s + n*s**2 and give b. -3 Rearrange -13*s - 12*s + 9494 - 9504 + (-3*s + 4*s -
{ "pile_set_name": "DM Mathematics" }
olve 5*i + 19 = -3*m, -p*m + 10 = -0 for i. -5 Let a(l) = 70 - 3*l - 39 - 23. Let z be a(0). Solve 2*f + 23 + 8 = 5*d, d = f + z for f. -3 Suppose 5 = 2*z - 1. Suppose 0*h + 2*h - 12 = 0. Suppose 2*b - 5*b = -h. Solve -i + b*i - k = -3, 6 = z*i + 2*k for i. 0 Let p be 14*(-1)/(2 - 4). Let j(w) = w**3 - w**2 + 4*w - 5. Let m be j(3). Solve 2*u + m = -3*i + p, 2*u - i + 2 = 0 for u. -3 Let v(d) = -7*d + 65. Let u be v(9). Solve 4 = l + i - 2, -4*l = -u*i - 6 for l. 3 Let q(r) = r**3 + 11*r**2 + 9*r - 6. Let h = 42 - 16. Suppose 0 = 5*g + 24 + h. Let a be q(g). Solve -2*x = 2*z - 2, -19 = 3*x - a*z + 6 for x. -3 Suppose 0 = -f + 2*u + 16, 12*f = 17*f + u - 102. Solve g + 3*n - 5 = -f, 3*g - 5*n - 25 = 0 for g. 0 Suppose 0 = -3*x + 106 - 31. Let d = 44 + -40. Solve 0 = -5*r - 5*c - x, -12 - 13 = 5*r - d*c for r. -5 Let a(q) = -7*q - 137. Let r be a(-20). Solve -3*y = -2*o + r, -4*o - 2*y - y = -15 for o. 3 Let h(n) = -17*n. Let g be h(-1). Let q = -1157 - -1160. Solve g = 4*f - q*z, 2*f - z = 4*z + 19 for f. 2 Suppose -46*k = -11*k - 105. Solve 0 = -4*d + 3*t - k, -3*d - 2*t + 21 - 2 = 0 for d. 3 Let h be (-19)/(-2) + 0 - (-235)/(-94). Solve 0 = -4*y + h + 5, -2*y + 10 = 2*g for g. 2 Suppose 2*m = -0 + 10. Let f(x) = -13*x - 2. Let u be f(-1). Suppose u = 4*j - 1. Solve -15 = j*c - 8*c - m*o, 2*c = -4*o + 8 for c. 2 Let t = -115 - -169. Let p = t + -42. Let a(i) = -i**2 + 7*i + 3. Let b be a(7). Solve 3*c - 2*c = b*d + p, -2*c + 12 = -2*d for c. 3 Let b = -41 + 59. Suppose -5*s - b = -4*y - 0, 4*y + 2*s - 32 = 0. Solve -y*m = -3*g - 3*m + 26, 2*g + m = -1 for g. 2 Suppose -45*d = -40*d - 25. Let y be ((-2)/(-3))/(2/(-6)). Let t be -1 - -9 - (3 + y). Solve -3*g = -0*g - 2*r - t, -d*r = -5*g + 5 for g. 5 Suppose -2*y - 2*y + 28 = -4*l, -3 = y + l. Suppose -y*f + 15 = 4*m - 5*f, -3*m - 4*f = -5. Solve -5*s + 18 = -m*d, -s - 7 = -5*d - 5*s for d. -1 Let a(f) = f + 7. Let s be a(-5). Let w be ((-5)/2)/((-1)/s). Suppose -21 = -4*p + 3*z, -9*p + 5*p - 4*z = 0. Solve -4*y = -l + 1, -w*l + 8*y + 5 = p*y for l. 1 Suppose -38 = -6*f - 26. Solve 0 = 2*n + 6*w - f*w - 20, 2*n + 4 = 4*w for n. 4 Let w = 1 - -5. Suppose -j + 3*i = -11, 0 = -5*j + i - w - 9. Let n = 9 + j. Solve -n*y + 15 + 11 = -g, 3*g - 7 = -2*y for y. 5 Let x be -19 + (10 - 5) + -4. Let b be (-5)/60*-62 - (-3)/x. Solve 2*s = -j - 5 - 2, -b*j = 2*s - 5 for j. 3 Suppose 0 = 85*d - 82*d - 6. Solve 0 = 2*m + n + 6, -d*m - 5*n - 15 - 7 = 0 for m. -1 Suppose -m + 1 = -n, -2*n - 3*m + 27 = n. Suppose 4*r + 12 = 4*t, 0 = -3*r + 2 - 5. Solve 16 = -t*w + 3*w - 4*d, -n*w + 2*d + 22 = 0 for w. 4 Suppose 3*n + 7 - 3 = -4*u, 12 = -2*n - 5*u. Suppose n*j - 47 = 93. Let r be 2/(-7) + 80/j. Solve -3*k + r*k - 11 = 2*y, 2*k + 17 = -3*y for y. -5 Suppose -26 = -2*z + 4*j - 10, -4*j = 5*z + 2. Solve 0 = z*a + 2*h, a + h - 2 = 2*h for a. 1 Suppose -k = -4*y + 1, y + 11 = 5*k - 3. Let d be (k - -4) + -3 - 1. Solve -4*p = 2*n - 12, 0*n + 4*p - 16 = -d*n for n. 4 Suppose -3*d + 14 = 4*q - 5*d, q - 3 = d. Let a be (q/(-6))/(4/(-6)). Let z be (a + 9/(-6))*-10. Solve -4*l + 19 = -z*y, 0 = -8*y + 4*y - 12 for l. 1 Suppose 3*w - 9 = -3*j + j, -j = -4*w + 23. Suppose -3*o = 10 + w. Let r be (0 - 5)/o + 3. Solve n - 2*a = -0*n + r, -12 = -n + 4*a for n. -4 Let v(d) = d. Let z be v(4). Suppose 0 = 2*o - 3*f - 8, -5*o - z*f = 10 - 30. Suppose t + 21 = o*t. Solve 3*s - 27 = 5*p, -4 = -t*s + 3*s - 4*p for s. 4 Let n = 54 - 31. Let v = -19 + n. Suppose -6 + 14 = v*d. Solve d*x = -2*r, 3*r - 3*x = -x - 20 for r. -4 Let i be 23/5 + 6/15. Suppose 2*v = 1 + i. Let j be 2 - (-3 + 6 - 2) - -8. Solve 4*h = -2*k + j - 1, 0 = v*k + 3*h for k. -4 Let a(n) = 8*n**3 - 7*n**2 + 7*n - 2. Let w be a(1). Solve 2*x - 4*k + 4 = w*x, -3*k = 4*x - 8 for x. 5 Let g(m) = -2*m - 38. Let k be g(-20). Solve -4 = k*v + 5*t + 4, 4*v - 2*t = -16 for v. -4 Suppose -g - 2*c = 14, -8*c + 3*c - 29 = g. Let v be 2/8 + (-7)/g. Solve -2*p - v*p = 3*h + 8, -h - 6 = 3*p for p. -2 Let v(f) = -3*f**3 - f**2 + f + 2. Let b = -40 + 39. Let h be v(b). Solve 4*r = -5*m - h, 6*m + 2*r + 9 = m for m. -3 Let y(x) = -x**2 - 7*x - 5. Let l be y(-2). Suppose 0*f - l*f + 15 = 0. Solve 4*v - f*k + 2 = -4, 3 = v - 3*k for v. -3 Let z = 38 + -18. Let o = 23 - z. Suppose 4*q - 2*h - 20 = 0, 0*h - h + 25 = 5*q. Solve 3*w - 4*u = 9, -q*w = o*u + 2*u + 20 for w. -1 Let n(a) be the second derivative of a**4/3 + a**3/6 + a**2 + 8*a. Let b be n(2). Solve -4*t = -4*j - 16, 5*t = -0*j + j + b for j. 0 Let f(c) = 2*c**2 - 53*c + 121. Let q be f(24). Solve -q = -5*r - 4*p - 11, 2*r - 4*p + 4 = 0 for r. -2 Suppose -32 = -4*t - 4*t. Solve -8*g = -4*g + n - 8, -t*n = -2*g + 4 for g. 2 Let u = 67 - 63. Suppose 40 = 2*a + l + l, 3*l = -u*a + 75. Solve -3*r + a = -4*o, 5*o - 3*r + 18 = -0*o for o. -3 Let o(i) = 3*i. Let g be o(2). Suppose 3*p - 55 = 5*f, 2*p + g*f - 28 = 5*f. Solve -a - p = 5*d, -4*a = -5*d - 0*a - 40 for d. -4 Let j = -652 - -656. Solve j = 2*c + 5*q, 0 = 3*q - 5*q for c. 2 Let u = 19 + -19. Suppose -6*x = -u*x - 12. Let f(s) = -2*s - 9. Let h be f(-6). Solve 0*i + 5*i - h*g = -4, 4*g - 14 = -x*i for i. 1 Let h(n) = -n + 12. Let q = 26 - 19. Let p be h(q). Solve -5*t + p*j - 13 = 7, 2*t + j = -2 for t. -2 Let t(h) = -h**2 + h + 655. Let d be t(-25). Let w(n) = -n + 8. Let q be w(4). Solve -q*c = 5*b - 35, -b + 31 = d*c + b for c. 5 Suppose -f = 2*p + 4*f + 80, 4*p + 188 = -3*f. Let d = p + 55. Solve 2*x + 5*k = 5, 5*k - 4*k + 26 = d*x for x. 5 Let c = 42 + -37. Suppose c*q - 38 = -13. Solve 5*k = -l - 5, -5*k + 5 = -10*k - q*l for k. -1 Let p = 40 - 36. Solve 5*h = -4*g - 24, 6 = p*g - 6*g - h for g. -1 Let f = -452 - -320. Let c = f - -137. Solve 3*k + 5 = c*d - d, 0 = -4*d - 5*k + 45 for d. 5 Suppose -u - 4 = -7. Let v be 1/((-14)/(-4) - u). Let t(r) = 5*r. Let s be t(1). Solve -v*y - y + 40 = -5*f, -s*y + 5*f = -50 for y. 5 Suppose -2*n = -3*c - 4, -2*n + 5*n + 3*c - 36 = 0. Suppose 0 = -4*q - n + 24. Solve q*l - l = -4*u, u = l for l. 0 Let t = -771 - -782. Solve 4*o = j - 5 - t, -o = -5*j - 15 for j. -4 Let i = 1917 - 1907. Solve 2*g + 7 = 5*c, -3*c + 16 - i = -3*g for g. -1 Suppose -3*f = -4*f + 2. Let g = -47 - -50. Solve f*q - 2*s + 4 = 3*q, -5*s = -g*q - 10 for q. 0 Let h = 11 + -22. Let l = h + 1. Let k = -8 - l. Solve r = 2*v - k*r + 8, 4*v + 12 = 4*r for v. -1 Let p(v) = v**3 - 2*v**2 - 11*v + 10. Let a be p(5). Solve -2*s + 2*x = 2*s - a, 0 = 5*s + 5*x for s. 5 Let z be 72/(-45)*-10*(-9)/(-12). Solve -4*s - t - z = 3*t, -5*s = -5*t - 5 for s. -1 Let h be (((-7)/2)/1)/((-19)/228). Let s = 47 - h. Solve 2*i + 4*r - 20 = 0, s*i - 3*r = -2*r + 6 for i. 2 Let y(r) = r + 15. Suppose 5*g + 56 - 6 = 0. Let d be y(g). Solve 25 = -4*w + 5*f, -d*w - 3*f - 2 + 17 = 0 for w. 0 Let j = 61 + -60. Let t be j/(-2) + (-29)/(-58). Solve 0 = -3*z - 4*m - 24, t = z - 4*m - 0 - 8 for z. -4 Suppose 4 = 2*n, 3*p = -2*p + 5*n + 15. Suppose 12 = p*f + 2. Solve 2*o - 3*o = -f*y - 15, 4*o = -3*y + 5 for o. 5 Let t = -1366 + 1370. Solve t = -2*c, -c + 10 = -9*b + 12*b for b. 4 Let q(t) = t + 5. Let f be q(-3). Suppose 10 = 4*j + f. Solve j*m + 5 = v, 3 = 3*m - 4*v - 2 for m. -5 Let l be 2/8 + 14/8. Suppose -2*o = 3*f + 4, -5*f = 15*o - 16*o - 2. Solve 4*j - l = 2*c + 3*c, f = 5*j + 5*c + 20 for j. -2 Let n(b) be the second derivative of -b**3/3 + 6*b**2 - 5*b. Let z be n(5). Solve 0 = r - 5*l - 5, 2*r + z = 6*r - 2*l for r. 0 Suppose 0 = -13*c - 25 + 51. Solve 5*d + 8 = q + 2*d, -c*d = 6 for q. -1 Suppose h - 15*u + 20*u = -16, 2*u = -8. Solve -4*d + 2*l + 8 = -l, h*d = l + 16 for d. 5 Suppose -2*t + 24 = -4*v - 0*t, -3*v - 20 = -2*t. Let h be 2*(1 + (-1 - v)). Solve 4 = 4*q, 7*q + 1 = -2*c + h*q for c. 0 Let n be -7*(329/(-49) + 5). Solve 18 + 4 = -m + 5*s, 4*m = s - n for m. -2 Suppose -2*o + 30 = -8*m + 13*m, m = 4*o - 16. Solve p + 13 = 4*s - 2*p, 0 = m*p - 4 for s. 4 Suppose 15*u = 25*u. Let y be 11 + -15 - 8/(u + -2). Solve -2*f - 5 = -o, y = 5*f - 3 + 28 for o. -5 Let p = -496 + 499. Solve -4*q + 0*q = 3*f - 3, -p*f = -5*q - 30 for f. 5 Let o be (-13 + (7 - 2))*(-3)/4. Solve -3*m - o = -0*q + q, 2*m + 17 = -5*q for q. -3 Let u = 977 + -971. Suppose 2*t - 5 = 5*t - 4*i, -2*i + 5 = -t. Solve -4*q - 27 = -t*g, -u*g + 12 = q - g for q. -3 Let o be 4/(-18) - 20/(-90). Suppose 7*i - i - 24
{ "pile_set_name": "DM Mathematics" }
= 3*r + 4*y - 28. Solve 2*i = 7*i + 15, 25 = r*t - 3*i for t. 4 Let k be -2 + 9 + (-24)/12. Solve -5*t = -5*l - 5, 5*t - 4*l - 12 = -k for t. 3 Let w(o) = o**3 - 10*o**2 + 26*o - 77. Let v be w(8). Solve j - 6*j + 5 = 4*z, -v*z = j + 10 for j. 5 Suppose -5*s + 6 = -39. Let y be (6 + -4)*s/6. Solve -y*x = 15, -z - x + 0*x = 3 for z. 2 Let r = -138 + 245. Let x = 109 - r. Solve 2*n + 24 = -4*y, y + 16 = -y - x*n for y. -4 Let k(m) be the first derivative of 4*m**2 - 25*m + 4. Let b be k(6). Solve -3*r - 4*x + 9*x + b = 0, 17 = 5*r - 3*x for r. 1 Let t be (-8)/72*0 - -3. Solve 6 + 6 = t*v, z - 15 = -4*v for z. -1 Suppose -3*j - r + 49 = 0, -2*j + r + 30 = -1. Let z(f) = -3 - 3 + f + 4 + 1. Let q be z(3). Solve 0 = -3*u + x + 8, 4*x + j = 6*u - q*u for u. 2 Suppose -6*v = -11*v. Suppose -13*d + 10*d = v. Suppose 12 = 4*a - d*a. Solve f = -4*l - 7, a*l - 4 = 2*f + l for f. -3 Let m = -12 + 18. Suppose o = m*o. Suppose o = -2*x - 3*x + 20. Solve -4*r - x*j - 8 = 0, 5*j = -2*r - 0*j - 7 for r. -1 Let r be (-7 - -9)*(-3)/(-2). Let c = -3 + r. Suppose -4*v + 16 = -c*v. Solve 0 = -v*d - 8, -4*h - 3*d = 1 - 11 for h. 4 Suppose 0 = -5*r - 3*i + 45, 2*r = 5*r - 4*i - 27. Solve 0*n + 3*n + 13 = 4*g, -g = 5*n - r for g. 4 Let a(z) = 6*z**2 + z. Let f be a(-1). Let i be ((-1)/(-1))/(1/24). Suppose i = 2*c - 26. Solve 5*w = f*y + 5, 2*y + 3*y = -5*w - c for w. -2 Suppose 9*a = -0*a + 27. Solve 2*u + 4*k + 6 = 0, a*k = -5*u - 0*u - 8 for u. -1 Let v(r) = 2*r**2 + 10*r + 6. Let u be v(-6). Let w = u + -24. Let c be (w + 5)/(2/(-10)). Solve -i - 4*i = 2*o + 25, -c*o - 4*i - 37 = 0 for o. -5 Let g(l) = l**2 + 1. Let r be g(-2). Let c(z) = z**2 + 9*z + 4. Let k be c(-7). Let x = -5 - k. Solve -r*h = -4*t - 33, -4*h + 3*h = x*t + 5 for t. -2 Let j(t) = -3*t**2 + t + 2. Let g be j(-2). Let x = g + 12. Suppose 2*k + 3*k = x. Solve -i - 2*w - 9 = k, 0*i + 4*i - 4*w = 24 for i. 1 Suppose 2*w = -3*w + 10. Solve -w*k - 5*p = -24, 4*p = k + 14 - 0 for k. 2 Suppose 16*i + 44*i = 540. Solve -p + 5*k = -4*p + i, -11 = 4*p - k for p. -2 Let h be 2/3*3 - 0. Let n be h - (-12 + 0) - -1. Let o = -1135 - -1139. Solve -5*y + o*r = n, 2*r = 5*r for y. -3 Suppose -3*a + 6 = j - 4*j, -13 = -5*a + 4*j. Let c be (2 - (5 + -2))*(-8)/4. Solve -m = a*g + 17, 0 = c*g + m - 4*m for g. -3 Suppose -v = x + 2, -4*v = -x - 35 + 23. Solve 5*r + 2 = -4*c + 3*r, v*c - r = 5 for c. 1 Let r = 1756 - 1753. Solve -2*l - 11 + 0 = -r*f, -5*l = -2*f for f. 5 Suppose -z + 6 = -0*z. Let r(a) = 7*a - 65. Let k be 8/10*(116/8 - 2). Let x be r(k). Solve 10 = -i - 5*u, -x = 2*i + u + z for i. -5 Suppose 43 - 49 = -2*h. Solve 2*c + 2 = n, 4*c + 14 = -h*n - 10 for n. -4 Let g(n) = -n**2 - 5*n + 17. Suppose -5*s = 5*v + 4 + 31, 2*v = 5*s + 35. Let j be g(s). Solve -j*q + y = 6, -4*q + y + 0*y = 7 for q. -1 Let l be 4/14 - 136/(-14). Suppose -6*h + h = -2*s + 25, -10 = -2*s. Let x be -1 - (h + (-4 - -4)). Solve -2*c = -x*b + 6*b + l, -2*c - 6 = 0 for b. -1 Suppose 2*p = 5*f - 22, 295 = -4*f - 2*p + 327. Solve -f*s - 5*a = -s + 5, 0 = -5*s - 4*a - 7 for s. -3 Let z = 7 + -7. Let p = z - 3. Let v be (1 - 0)/(p/(-33)). Solve 3 = 5*x - 3*k + 5*k, v = x + 3*k for x. -1 Let q = 46 + -44. Solve p = t - 7, 18 = -5*p - q for t. 3 Let i = -1918 + 1943. Solve g + 17 = -2*k + 5, i = -5*g - 3*k for g. -2 Let z(l) = -l**3 - 16*l**2 + 4. Let s be z(-16). Let b(d) = 5*d**3 - d. Let o be b(1). Suppose -33*x = -28*x - 25. Solve -o*r - x*q - 15 = 0, -q = s - 1 for r. 0 Let d = 2 + -14. Let t be ((-27)/6)/(d/(-16)). Let v be (t*1)/(-2) + 2. Solve -10 = -2*n - 4*z, 3*n - 11 - 4 = -v*z for n. 5 Suppose 2*s - f + 106 = 7*s, -5*f - 20 = 0. Suppose -4*b = s - 82. Let m(z) = z**2 - 16*z + 20. Let c be m(b). Solve 6*h + 1 = c*q + 2*h, 5*h = 5 for q. 1 Let l be 0 + ((-7)/(42/(-24)))/2. Solve -5*o - 25 = -2*p, 3 - 1 = -l*p - 4*o for p. 5 Let h = 239 + -236. Solve 0 = -u + 4*u + 3*i + 21, h*i = -2*u - 17 for u. -4 Let b(u) = -u**3 + 6*u**2 + u - 2. Let t be b(6). Solve 0 = 5*y - i - 21, 0 = -y + t*y - 2*i - 7 for y. 5 Suppose -3*k - 25 = -2*k. Let b = 40 + k. Solve -4*p - 17 + 7 = 2*a, 0 = -3*a + p - b for a. -5 Suppose -2 = f, -13 = 6*n - 3*n + 5*f. Let u be (16/10)/(6/75) + n. Solve -3*b + u = -4*w - 1, 0 = 2*w + b for w. -2 Let w = -42 + -33. Let d = w + 90. Solve -5*i = d, 4*l + i = 2*i - 9 for l. -3 Let r be 0 - (-160)/4 - -3. Let a = r + -39. Solve 0 = z - v + 4, a*v - v = 0 for z. -4 Suppose f - 4 = -9. Let s(c) = c**3 + 3*c**2 - 11*c - 1. Let m be s(f). Solve 26 = 5*y + 4*q, m*y + 3*q = 5*y + 10 for y. 2 Let a(y) = 4*y + 4. Let z be a(-3). Let p be (135/180)/(42/40 - 1). Let u = p + z. Solve 2*m + u*d - 2*d + 6 = 0, 0 = 4*m + 3*d - 2 for m. 2 Let k = 105 - 97. Let a = k - -7. Solve u - 5*v = -a, u + 3*v = 3 + 6 for u. 0 Let k(l) = -l**2 + 11*l + 13. Let m be (-8)/4 + -1 + 15. Let c be k(m). Let r be (3/(-9)*-57)/c. Solve -z + 3*y - 7*y - r = 0, 0 = 5*y + 20 for z. -3 Let g be 3*99/54 - 2/4. Solve 15 = -3*f - 5*u, 2*f + 0*f = -g*u - 10 for f. -5 Suppose a + 13 = 3*v, -29 = -0*a - 2*a - 5*v. Suppose -10*p + a + 18 = 0. Solve y = 5*y - p*h - 2, 0 = -3*y - 2*h - 9 for y. -1 Let l = -10 - -16. Let o = 4700 + -4696. Solve 3*p + l*c - c = 26, -5*c + 28 = o*p for p. 2 Let v(d) = -2*d**2 - 7*d**2 + 8*d**3 - 7*d**3 + 4 + 8*d. Let m be v(8). Solve 2*q + 17 = -7*f + m*f, 14 = q - 3*f for q. -1 Suppose 4*w + 4*r - 36 = -0*w, 0 = 2*w + 5*r - 33. Suppose -c - w*d = 6 + 6, 3*c = -3*d. Solve 6*q = -c*f + q + 27, f + 3 = 2*q for f. 3 Let t(i) = 2*i - 34. Let p be t(14). Let x be (p/12)/((-1)/12). Solve 2*r + 2*r = 2*h - x, -r = -2*h - 6 for r. -4 Let n be (-156)/234*(-1 - 2). Solve 3*x + 21 = -3*h, 2*h = -0*h + n*x + 2 for h. -3 Suppose 3*i + 0 = -18. Let x = i + 7. Solve -3*t = 3, -s - 2 - x = t for s. -2 Let l(u) = -u**2 + 8*u + 2. Suppose -4*p - 40 = -9*p. Let t be l(p). Solve 2*d - 5*m = -23 - 12, -2*d + t*m = 20 for d. -5 Let b(r) = -r**2 - 2*r + 2. Let c be b(-5). Let k = -13 - c. Suppose -4*j + 23 = -d, -2*d = -k*d + 6. Solve u = 5*q + 9, -4*q - 20 = -j*u + u for u. 4 Suppose -9*a - 5*s + 150 = -4*a, 0 = -5*a + 2*s + 129. Solve -5*j + 37 = -4*f, -5*j = -2*f - 4 - a for f. -3 Let a(t) be the third derivative of -t**4/12 - 6*t**2. Let u be a(-2). Suppose -u*g + 3 = -9. Solve -2*w = 3*o + 13, 4*o + w = -g*w - 16 for o. -5 Let s = -13 + 15. Suppose 2 = -2*n - s. Let p be n/(-1) + (-10)/(-10). Solve -5*f - 2*c - 2*c - 10 = 0, -p*c - 11 = 2*f for f. 2 Suppose 11 = r + 6. Suppose -5*t = -b + 10, -4*t + r*b = -1 - 12. Let p be t/(-2 - 1)*6. Solve -q = 2*h + 9, 3*q = 2*h - p*h - 19 for q. -1 Let b = 551 - 547. Solve 3*n - y - b = 0, n + 3*n - 17 = -y for n. 3 Let i = 502 + -497. Solve 20 = -2*l + 6*l - 2*h, 5*l - i*h = 25 for l. 5 Let k be 2*6/(-48) - (-25)/4. Let x be (-12)/20 - k/(-10). Solve -4*b - b - 5*q + 15 = x, -5*b = 4*q - 10 for b. -2 Let r = -49 + 61. Solve -4*k - 2 - 14 = 4*p, 3*k = -5*p - r for p. 0 Suppose -4*p = -0*p + 5*s - 17, 0 = 4*p - 4*s - 8. Solve p*q - 24 = -3*k, q - 6*q = 4*k - 37 for k. 3 Suppose 5*s = 4*x - 16, -5*x + 6*x - 4 = -s. Solve -5 = 4*m - y, -2*m + s = -3*y - 5 for m. -2 Let w be (-190)/14 + 3/(-7). Let n be -1 - 10/w - (-561)/77. Let v = -10 - -14. Solve 5*l = s - n, -11 = 3*s - 3*l + v*l for s. -3 Suppose 0 = 2*a + 5*s + 51 - 4, -29 = 4*a - 3*s. Let r(f) = -7*f - 72. Let g be r(a). Solve g*q - 2*n = 30, 0 = -2*q + 4*n - 2 + 30 for q. 4 Let d be (-1)/1*3*-1. Suppose 2*b = -3*v - 301, -14*v + 12*v - b = 199. Let w = 122 + v. Solve 3*c + w = -2*c - z, 0 = c + d*z + 5 for c. -5 Let s(c) = -7*c + 38. Let a be (-2)/((-22)/53) + 14/77. Let q be s(a). Solve 1 = -2*x - q*i + 9, 2*x + 5*i = 16 for x. -2 Let q be (-2)/((5/(-2))/5). Let c be 6/21 - 248/(-14). Suppose -3*k = -2*d + d - 12, -2*d - c = -4*k. Solve -4*j = q*n - 12, -5 = 2*n + k*n for j. 4 Suppose 0 = -3*n + 58 - 4. Let l be ((-4)/(-3))/(10/(-15)). Let f be (-1)/(21/(-9) - l). Solve -f*a = -a - 4*s + n, -3*a - 4*s + 13 = 0 for a. -1 Let u be 755/85 + (-2)/(-85)*5. Solve 0 = 3*n + u, 3*f - n + 9 = -0*n for f. -4 Suppose -4*q - 5*d + 25 = 139, 4*q + 118 = -3*d. Let s = 32 + q. Solve h - s = 2*a - 3, 5*a - 3*h - 6 = 0 for a. 0 Suppose 0 = v - 9*q + 8*q - 7, -3*v = 4*q. Solve -20 = y + 5*j, y = v*y + 2*j - 5 for y. 5 Let z be 1414/70 - (-1)/(-5). Let g = z - 24. Let f
{ "pile_set_name": "DM Mathematics" }
ds? 99000 How many millilitres are there in one tenth of a litre? 100 What is 8/25 of a litre in millilitres? 320 What is 3/50 of a microgram in nanograms? 60 Convert 2687.166 microseconds to minutes. 0.0000447861 How many minutes are there in seven sixths of a hour? 70 How many nanograms are there in 41/2 of a microgram? 20500 How many nanometers are there in 72684.92um? 72684920 How many millilitres are there in 5/4 of a litre? 1250 What is 25/4 of a millimeter in micrometers? 6250 What is 5334.578 micrograms in kilograms? 0.000005334578 What is 8/25 of a tonne in kilograms? 320 How many micrometers are there in three tenths of a millimeter? 300 What is 33/5 of a litre in millilitres? 6600 Convert 800875.1 litres to millilitres. 800875100 What is 593601.6 litres in millilitres? 593601600 How many hours are there in five eighths of a day? 15 What is 7/4 of a millisecond in microseconds? 1750 How many centuries are there in 57093.74 millennia? 570937.4 Convert 918.7322 millimeters to centimeters. 91.87322 How many meters are there in 5/8 of a kilometer? 625 How many hours are there in 10/3 of a week? 560 What is one quarter of a millennium in decades? 25 How many minutes are there in 55/3 of a day? 26400 What is 18316.95579 nanoseconds in weeks? 0.000000000030285971875 How many millilitres are there in 1/4 of a litre? 250 How many microseconds are there in 11/10 of a millisecond? 1100 How many micrometers are there in 11/2 of a millimeter? 5500 What is thirty-seven fifths of a litre in millilitres? 7400 Convert 876.0556l to millilitres. 876055.6 How many nanograms are there in fourty-three halves of a microgram? 21500 How many nanometers are there in 63.51092cm? 635109200 Convert 1.596669um to millimeters. 0.001596669 What is 6/5 of a decade in months? 144 How many grams are there in 27/5 of a kilogram? 5400 How many litres are there in 46.29467 millilitres? 0.04629467 Convert 591414.3l to millilitres. 591414300 What is 11.91064 milligrams in grams? 0.01191064 What is 9107.956l in millilitres? 9107956 How many millilitres are there in three tenths of a litre? 300 What is 708.5279kg in tonnes? 0.7085279 How many months are there in 15/4 of a century? 4500 How many nanometers are there in one quarter of a micrometer? 250 How many millimeters are there in nine tenths of a meter? 900 What is 1.105977ml in litres? 0.001105977 What is eighteen fifths of a millennium in months? 43200 How many months are there in 7048.581 millennia? 84582972 Convert 398462.3mm to micrometers. 398462300 What is thirteen fifths of a litre in millilitres? 2600 How many nanograms are there in 3/40 of a microgram? 75 How many seconds are there in 3.479379 minutes? 208.76274 How many grams are there in 48224.57ug? 0.04822457 What is 7/2 of a litre in millilitres? 3500 What is 29/2 of a hour in minutes? 870 How many millilitres are there in eleven halves of a litre? 5500 How many months are there in 646290.1 decades? 77554812 How many litres are there in 0.6461728 millilitres? 0.0006461728 How many millilitres are there in 21/2 of a litre? 10500 What is 1/4 of a gram in milligrams? 250 How many nanometers are there in 0.95457 kilometers? 954570000000 Convert 0.351757 decades to months. 42.21084 How many minutes are there in 4/3 of a hour? 80 What is 573.6814 milliseconds in microseconds? 573681.4 Convert 0.184ug to grams. 0.000000184 How many months are there in 7/4 of a millennium? 21000 What is thirteen fifths of a litre in millilitres? 2600 How many months are there in eleven halves of a decade? 660 What is one tenth of a centimeter in micrometers? 1000 What is twenty-six fifths of a tonne in kilograms? 5200 How many milligrams are there in 7.002672 kilograms? 7002672 Convert 65.49527ml to litres. 0.06549527 How many micrograms are there in 5.34499 kilograms? 5344990000 Convert 71034.14 millilitres to litres. 71.03414 How many decades are there in 43/2 of a century? 215 What is 44.17436mm in meters? 0.04417436 What is 5614.014 hours in milliseconds? 20210450400 What is 15/4 of a year in months? 45 How many millilitres are there in 3/25 of a litre? 120 How many months are there in 7/3 of a century? 2800 What is 0.5438621 tonnes in grams? 543862.1 What is 733.5594t in grams? 733559400 Convert 85.70443ns to milliseconds. 0.00008570443 What is 5.959701 nanograms in kilograms? 0.000000000005959701 How many minutes are there in 28/3 of a hour? 560 Convert 1695.93 hours to seconds. 6105348 What is 202246.4 millimeters in nanometers? 202246400000 Convert 143106.4 millilitres to litres. 143.1064 What is seventeen halves of a centimeter in millimeters? 85 How many millilitres are there in 3/50 of a litre? 60 What is eleven tenths of a millennium in decades? 110 How many milligrams are there in three eighths of a gram? 375 What is one quarter of a minute in milliseconds? 15000 How many kilograms are there in 118.4714 tonnes? 118471.4 How many micrograms are there in 79269.71kg? 79269710000000 What is three fifths of a millennium in decades? 60 What is two fifteenths of a minute in seconds? 8 How many millilitres are there in 5147.026l? 5147026 What is 3.560115 decades in centuries? 0.3560115 How many millilitres are there in 57/5 of a litre? 11400 What is five eighths of a tonne in kilograms? 625 How many millilitres are there in 54664.02l? 54664020 What is 27/4 of a millennium in decades? 675 How many nanoseconds are there in three tenths of a microsecond? 300 How many months are there in 15/4 of a decade? 450 What is 535.675 tonnes in grams? 535675000 How many months are there in one fifth of a century? 240 Convert 65.4703us to seconds. 0.0000654703 Convert 706.7164mm to centimeters. 70.67164 Convert 1769.035 decades to months. 212284.2 Convert 6.127112 minutes to seconds. 367.62672 What is 0.717415mg in tonnes? 0.000000000717415 What is seventy-one quarters of a hour in seconds? 63900 How many millilitres are there in 26.74046 litres? 26740.46 How many seconds are there in fifty-three quarters of a minute? 795 How many kilograms are there in 5.422458 tonnes? 5422.458 Convert 0.0773342 millilitres to litres. 0.0000773342 How many days are there in 1623048.84s? 18.7852875 How many seconds are there in 1542.7 weeks? 933024960 Convert 9369.226ml to litres. 9.369226 What is 0.5754895 minutes in milliseconds? 34529.37 How many seconds are there in thirty-three fifths of a minute? 396 How many milligrams are there in 33/5 of a gram? 6600 Convert 362923.6 years to millennia. 362.9236 What is 12/25 of a gram in milligrams? 480 What is seven halves of a milligram in micrograms? 3500 How many kilograms are there in 11/4 of a tonne? 2750 How many seconds are there in nine tenths of a minute? 54 How many seconds are there in fifteen quarters of a minute? 225 What is 0.3266864 days in microseconds? 28225704960 How many minutes are there in twenty-five halves of a hour? 750 What is fifty-two fifths of a day in minutes? 14976 What is 17/4 of a week in hours? 714 How many millilitres are there in 8/25 of a litre? 320 What is one quarter of a milligram in micrograms? 250 What is 1/20 of a kilogram in milligrams? 50000 What is 18.99553mg in grams? 0.01899553 How many centimeters are there in 21/4 of a meter? 525 How many tonnes are there in 24262.09 grams? 0.02426209 How many millennia are there in 7.73489 years? 0.00773489 What is 89600.94 kilograms in milligrams? 89600940000 How many meters are there in 1/4 of a kilometer? 250 What is 76/5 of a kilogram in grams? 15200 What is 7/2 of a meter in centimeters? 350 What is two sevenths of a week in hours? 48 What is 67/4 of a meter in millimeters? 16750 How many nanoseconds are there in 820.3907 seconds? 820390700000 How many millilitres are there in 13/4 of a litre? 3250 Convert 89007.62ng to grams. 0.00008900762 Convert 137.18016 months to centuries. 0.1143168 How many millilitres are there in one quarter of a litre? 250 What is 201.67284 months in millennia? 0.01680607 How many decades are there in 31/5 of a millennium? 620 Convert 46.7743ng to milligrams. 0.0000467743 Convert 0.3074036ms to microseconds. 307.4036 What is 91.35354 hours in days? 3.8063975 How many litres are there in 20372.55ml? 20.37255 What is 323379.4s in milliseconds? 323
{ "pile_set_name": "DM Mathematics" }
is positive. v**(-9/7) Simplify ((m*m**(-4))/m*(m*m**(-7))/m)**(-2/9) assuming m is positive. m**(22/9) Simplify (k**(-7)*k*k**(5/4))**(-1/11) assuming k is positive. k**(19/44) Simplify (b/b**(-10)*b**4)**(-17) assuming b is positive. b**(-255) Simplify (t*t**9)/(t*t**(-1/4)*t) assuming t is positive. t**(33/4) Simplify ((v/(v/(v**(2/3)*v)))/v)**(-41)/(v/(v/(v/v**(-2/3)))*v)**(-9/7) assuming v is positive. v**(-502/21) Simplify (t**(-1/3)/t*t)**(37/3)*((t**(10/9)/t)/t)/(t**(-4/3)*t) assuming t is positive. t**(-14/3) Simplify (h**(-4/17))**(6/7) assuming h is positive. h**(-24/119) Simplify (((q/(q*q**(-5/4))*q)/q)/q**7)**(2/93) assuming q is positive. q**(-23/186) Simplify ((z*z*z**7*z*z*z)/(z**(-1)*z))/((z/z**(-1))/z**(-2)) assuming z is positive. z**8 Simplify (r**1)**(-18)*((r/(r*r/(r/(r*(r*r**(2/17))/r)*r)))/r)/r**(-5) assuming r is positive. r**(-240/17) Simplify (y*y/(y*y**4)*y*y/((y*((y/y**7)/y*y)/y)/y))/((y/(y*y**(2/5)*y)*y*y)/y**(1/6)) assuming y is positive. y**(167/30) Simplify (i**(-5)*i**(-1/11)/i)**8 assuming i is positive. i**(-536/11) Simplify ((n/(n/n**(3/2)))/(n*n/((n*n/(n*n**(-7)/n)*n)/n)*n))**(1/16) assuming n is positive. n**(15/32) Simplify (b*b**(-2/7))**(3/11)/(b**1)**(22/5) assuming b is positive. b**(-1619/385) Simplify ((x*x**(-5)*x)/x**(3/5))**(-15) assuming x is positive. x**54 Simplify (((q*q/(q/(q*q/(q**(-4)*q))*q))/q)**(-10/7))**28 assuming q is positive. q**(-160) Simplify (q/(((q*q*q**(2/3)*q)/q)/q)*q**(-4)/q)**(1/10) assuming q is positive. q**(-17/30) Simplify ((x*x**(5/2)/x*x)/x)**(-25) assuming x is positive. x**(-125/2) Simplify j**(-1)*j**(-2/9)*j**3*j**(-2/21)/j assuming j is positive. j**(43/63) Simplify ((k/(k/(k**0*k*k*k*k*k)))/k)**12 assuming k is positive. k**48 Simplify (h*h*h**(-1))**50/((h/(h/(h**0/h)))/h)**(-6) assuming h is positive. h**38 Simplify h**(-25/4)/h**9 assuming h is positive. h**(-61/4) Simplify (z*z*z**(-2/7)*z)/z**(-2/23) assuming z is positive. z**(451/161) Simplify (g**(-9))**(9/7) assuming g is positive. g**(-81/7) Simplify u**(-2/13)*u/u**(2/21)*(u/u**6)/u**1 assuming u is positive. u**(-1433/273) Simplify ((t/(t*t*t**5*t))/t**(-8))/(t/t**0*t/(t*t/(t/(t*t**3*t))*t)) assuming t is positive. t**6 Simplify (y**3*y*y*y*y**(1/5))/((y/(y/y**(-2)))/y)**(3/7) assuming y is positive. y**(262/35) Simplify q**(-1)/q**2*q**(-3/4)/(q*q*q**(-2)) assuming q is positive. q**(-15/4) Simplify (w/(w*w**(1/4)*w))**1*w**(-2/9)*w**8 assuming w is positive. w**(235/36) Simplify (d**1*d)/d**(-3) assuming d is positive. d**5 Simplify ((v*v**(-1/4)*v)**(1/8))**30 assuming v is positive. v**(105/16) Simplify (t*t**11)**(-1) assuming t is positive. t**(-12) Simplify (k/(k*k**(-13)/k))/(k**(1/23)/k) assuming k is positive. k**(344/23) Simplify t**2*t**0*t*t*((t/t**(-2/5))/t*t)/(t**(-3/2)/t) assuming t is positive. t**(79/10) Simplify (a/(a/a**(-38)))/a*a*a*a/a**(1/16) assuming a is positive. a**(-577/16) Simplify d**(-3/4)/((d*d**(-3)*d)/d)*d**(-2/17)*d*d*d*d**(-1)/d assuming d is positive. d**(145/68) Simplify (m**42/m)/(m**14*m) assuming m is positive. m**26 Simplify (r**(3/10)*r)/(r*r**31*r) assuming r is positive. r**(-317/10) Simplify (a**(3/11)/a*a)/(a/(a**(-16)*a*a)*a) assuming a is positive. a**(-173/11) Simplify (n**(-5)*n*n**2/n)/(n**(-3)/(n*n**(-3)*n)) assuming n is positive. 1/n Simplify (l/l**(3/14))/l**(-4/17) assuming l is positive. l**(243/238) Simplify l**15/l*l**30 assuming l is positive. l**44 Simplify (j*j**1*(j*j*(j*j**(-1/5))/j)/j)**(-1/71) assuming j is positive. j**(-14/355) Simplify ((g*g**(-6/5)*g*g)/g)/((g*g**(-4/7))/g)*(g*(g*g**(-2/13))/g)/(g**(6/7)*g) assuming g is positive. g**(164/455) Simplify d*d**20*d**6 assuming d is positive. d**27 Simplify ((t/(t**(-2/21)*t))**(-2/3))**(-39) assuming t is positive. t**(52/21) Simplify (j*j**(-9)*j**(2/5))/(j**(-1))**(-3/2) assuming j is positive. j**(-91/10) Simplify (a**(-2/5)/a)**(-29)/(a*a*(a/(a*a**(-2)))/a)**(15/4) assuming a is positive. a**(587/20) Simplify a/a**(-8)*a*a*a/(a**(-25)*a)*a assuming a is positive. a**37 Simplify (((l*l**(-1)/l)/l)/l)/l*l*(l/(l**(-3/4)*l))/l*(l*l**(-1/4))**(3/19) assuming l is positive. l**(-119/38) Simplify ((k*k/k**(-1))**(-10/7))**(-30) assuming k is positive. k**(900/7) Simplify ((h/((h**3*h)/h))/(h/(h/(h/((h**(-3/11)/h)/h*h)*h))))/(h*(h/h**1)/h*h**(2/9)) assuming h is positive. h**(-544/99) Simplify (k/(k*k**0))**11*k**3/(((k/k**(-2/21))/k)/k) assuming k is positive. k**(82/21) Simplify (s**(5/6)*s)**(2/3) assuming s is positive. s**(11/9) Simplify q**(-1/5)/q*q**(6/11)*q**(2/3)/q*q*q*q**(-6) assuming q is positive. q**(-823/165) Simplify o*o**(-2)*o**(-7)*o*(o/(o*o**(-1/3)/o*o))**(-12) assuming o is positive. o**(-11) Simplify o**5*o*o**(1/5) assuming o is positive. o**(31/5) Simplify (h**(-2/13)*h)**(1/36) assuming h is positive. h**(11/468) Simplify ((a/a**(-1/5))/(a**(1/12)/a))/(a/a**(3/2)*a*a/(a/(a*a**(1/3)*a))) assuming a is positive. a**(-43/60) Simplify (w**(-17))**(-41) assuming w is positive. w**697 Simplify (y/(y**(-2)*y)*y*y)**(3/25)*y/(y**(3/8)*y)*y*y**(1/4) assuming y is positive. y**(271/200) Simplify b/((b*b*b**(-11/5))/b)*b*b**(-8/9)*b assuming b is positive. b**(149/45) Simplify ((x*x/(x*x**(-2/17)))/x**2)/(x**(2/7))**(1/13) assuming x is positive. x**(-1399/1547) Simplify (z*z**(-2/7))**(-1/21)/(z*((z**(-8)/z)/z)/z*z**11) assuming z is positive. z**(-152/147) Simplify (l*l**(-2/3)*l)/l*l**(-9) assuming l is positive. l**(-26/3) Simplify (r**1/(r*r*r*r/(r*r*r**(-7))))/(r/(r/((r/(r*r**(-1)*r)*r)/r)*r)*r)**(-36) assuming r is positive. r**(-8) Simplify (c*c**(-10))**(1/5) assuming c is positive. c**(-9/5) Simplify (n**0/(n/n**(-2/3)*n))/((n*n/(n*n**2/n*n))/(n**5/n)) assuming n is positive. n**(7/3) Simplify w**(-1/6)/(w**(-5)/w)*w**(-2/11)/w*w*w**(-2)*w assuming w is positive. w**(307/66) Simplify (t*t*t*t*t**(-4/11))**9 assuming t is positive. t**(360/11) Simplify o**(-2/101)/(o**13/o) assuming o is positive. o**(-1214/101) Simplify r**(-24)*r**(7/6)/r assuming r is positive. r**(-143/6) Simplify o**26/o**(3/17) assuming o is positive. o**(439/17) Simplify x*x**(-2)*(x*x*x*x**(-1/3)*x)/x*(x*x*x**(-1))**(-6/11) assuming x is positive. x**(37/33) Simplify (p/p**(-4)*p**(-2))/((p/(p*p/p**(-1))*p)/p)**20 assuming p is positive. p**43 Simplify ((q/(q/q**1))/q)**40*q**(-2/11)*q**2*q*q assuming q is positive. q**(42/11) Simplify q**2*q/(q/(q**5*q*q*q))*q/q**5*q**5 assuming q is positive. q**11 Simplify (k**(3/10))**(-6/17) assuming k is positive. k**(-9/85) Simplify (d*d**(-1/4))**(1/6) assuming d is positive. d**(1/8) Simplify (l**(-3/5)/l)**(-46) assuming l is positive. l**(368/5) Simplify ((i*i**5)/(i/i**(-5/4)))**(-15) assuming i is positive. i**(-225/4) Simplify (o**(-2/5)*o)**(-3/17)/(o**2*o*o**(-1/5)*o) assuming o is positive. o**(-332/85) Simplify (y*y**(2/3))**(-44)/(y/((y/((y*y*y*y/(y*y*y*y**(-2))*y)/y))/y*y)*y**3) assuming y is positive. y**(-238/3) Simplify (d/(d**(-1)*d))/d**(1/8)*d**(-5/3)*d**(-2/9) assuming d is positive. d**(-73/72) Simplify ((z**(2/5))**26)**(-26/3) assuming z is positive. z**(-1352/15) Simplify (c*(c*c/c**(1/4))/c*c*c)**(-23)*(c/c**(-1))/(((c**(-2/17)*c)/c*c)/c*c) assuming c is positive. c**(-5789/68) Simplify ((v*v*v*v/v**(5/4))/v)**(3/25) assuming v is positive. v**(21/100) Simplify (j*j**5)/(j*j/j**(1/4))*(j*j**(1/3))/j**(-2) assuming j is positive. j**(91/12) Simplify (o*o*(o*o**(1/3)*o)/o)**(-11/5)/(o**(-4)/(o*o**(4/7)*o)) assuming o is positive. o**(-16/21) Simplify g**(-1/5)/g**(-1/9)*g**(-1)/g*g**(-3/2)*g assuming g is positive. g**(-233/90) Simplify n**(2/63)*n*n*n**16 assuming n is positive. n**(1136/63) Simplify (s/(s**(2/19)/s*s))/s**(1/12)*(s/(s*s**(2/3)*s*s*s)*s)/((s/((s*s/(s/s**2*s))/s))/s) assuming s is positive. s**(-65/76) Simplify ((y/y**13)/y*y*y**(1/2))**(-4/9) assuming y is positive. y**(46/9) Simplify a**(-19)/(a*a**14*a) assuming a is positive. a**(-35) Simplify (((q**(2/5)*q)/q)**(-10))**(1/75) assuming q is positive. q**(-4/75) Simplify ((((((c/c**(-14)*c)/c*c)/c*c*c)/c)/c)/c)/c*c*c**18 assuming c is positive. c**32 Simplify (p**20)**(-12) assuming p is positive. p**(-240) Simplify (s**5/s*s*s**(-1/13))/((s*s**(-5/4)*s)/(s**(-3/2)*s)) assuming s is positive. s**(191/52) Simplify (f**7*f**(1/15))**(-4/27) assuming f is
{ "pile_set_name": "DM Mathematics" }
er than i? False Let j = 9 - 7. Let z(s) = 9*s + s - 3*s + s**j. Let h be z(-6). Is h < -4? True Let g = 0.0506 + -3.0506. Which is greater: g or 0.7? 0.7 Let f = 1530511/14 + -109491. Let t = 169 + f. Is 0 greater than or equal to t? False Let f be (-1)/(-1 + 16060/16135). Let a = -215 + f. Let g(o) = -2*o**2 + 1. Let n be g(1). Which is smaller: a or n? n Suppose 0*m - 35 = -5*m. Let o(g) = g**2 - 7*g - 4. Let t be o(m). Let h = 5 + t. Is h >= -2/19? True Let i be (15/(-12))/5 + (-7)/(-12). Is -51 >= i? False Let d = -1 - -1. Let k = -7 - d. Let j = k - -7.1. Which is bigger: j or -0.7? j Let w be (-2)/(-6)*(-6)/4. Let p = 6 - 9. Let j = -2 - p. Which is smaller: w or j? w Let f be (54/(-14) - -4)/((-25)/((-2100)/(-24))). Suppose 0 = 2*x + 2*x. Let o = x - 0. Which is smaller: o or f? f Let i(f) = -f - 2. Let d be i(-3). Let q = d - -2. Let t(v) = v**2 + v - 3. Let o be t(-3). Is q <= o? True Suppose 3203 = -3*w + 4*t, -4487 = 5*w - t + 874. Is w bigger than -1073? False Suppose -3*k = -0*k. Let a be (4/2670*-5)/((-1 - -5)/12). Which is smaller: k or a? a Suppose -4*p - o + 121 = 0, -3*p + 39 = -2*p + 2*o. Let i = -24 + p. Let t be ((-165)/(-6))/i + -2. Is t != 3? True Let b(i) = i**2 - 37 - 36*i - 2*i**2 + 21*i. Let q be b(-12). Is 3/58 at least q? True Let u = 17.06 + -16.54. Is 9 equal to u? False Let s = -318 + 317.9. Is s smaller than 60? True Let u = 1369 - 2737/2. Are -1/125 and u non-equal? True Suppose 0 = 4*z - 5*r + 118, 4*z + 113 = -3*r + 11. Let q = 33 + z. Suppose -q*u - 6 = -30. Is u less than or equal to 4? True Let v be 53/2*(-440)/(-22). Is 532 <= v? False Let k be (1/(-2))/(1141/192 + -6). Which is smaller: k or 8? 8 Suppose -2*o + 3*o - 3 = 4*f, 0 = 5*f - 4*o + 12. Let n = 12 - 442/37. Are n and f non-equal? True Suppose 0 = 5*k - 310 - 470. Let r = k + -95. Are 63 and r nonequal? True Suppose -g - 85 = -d, -d - 3*g + 89 = -5*g. Let j be d/(-45)*(-2)/2. Which is smaller: 1 or j? 1 Suppose -8*o = -2*o + 66. Is -10 greater than or equal to o? True Let a = 1186 - 87761/74. Suppose -4*v + 1 = p - 3, p - 2*v + 2 = 0. Is a at least as big as p? True Let k(b) = 8*b**2 - 8*b + 10. Let c be k(2). Which is smaller: c or -1? -1 Let c be 2/((-5)/((-5)/2)). Suppose -i - 2*i = 0. Suppose f + 6 = 5*w, i*w = 4*w - 3*f - 7. Is c smaller than w? False Suppose -2*b + 3*f - 2 - 11 = 0, -3*b + 4*f - 17 = 0. Let u = b + -3. Let z be 36/(-20)*u/(-6). Is 3/2 at most as big as z? False Let g(z) = -z - 28. Let t be g(-31). Let c be t/((-18)/170) + (-1)/(-3). Is c >= -28? True Suppose 2*f + 6 = -0*f, -s - f = 3. Let w(c) = c**3 + c - 1. Let y be w(s). Let q be 1 + (1 - (-7)/y). Is -4 greater than q? True Let a(j) = -2*j**2 + 65*j + 38. Let t be a(35). Which is smaller: 2 or t? t Let w = -25 + 30. Let c be ((-5)/(w + 0))/1. Let z be (-87)/(-15) + c - 4. Which is smaller: 1 or z? z Let v = -16 + 8. Let o be (2 - 3)/(1/v). Let a be (-2)/(-6)*-3*-1*7. Are a and o equal? False Let d be (1 - 3)*(4*-1 - -2). Let w(c) = 2*c + 5. Let y(m) = -3*m - 5. Let l(u) = 4*w(u) + 3*y(u). Let i be l(d). Which is smaller: i or -4/9? -4/9 Let z(u) = 4*u**3 - 5*u**2 + 5*u - 9. Let h be z(2). Which is greater: h or 72/5? 72/5 Let v(r) = -15*r - 213. Let s be v(-11). Which is bigger: -242/5 or s? s Let q(p) = -p**3 + 7*p**2 - 9*p + 24. Suppose 7*j - 4*j - 18 = 0. Let i be q(j). Is 3 bigger than i? False Let w be (-4)/(-2) - 12/(-4). Suppose 0 = 4*t + q - w - 2, 0 = 2*t - q - 5. Suppose 5*d + 22 = 2*l, -l + 9 = -t*d - 0*d. Which is bigger: -1/12 or l? l Let c = -0.9403 - 0.0597. Which is smaller: -9/26 or c? c Suppose 0 = -i - 4, -2*x - 54 - 26 = 2*i. Let o be x/65 - (-2)/5. Let k(s) = -s**3 + 6*s + 3. Let v be k(-2). Is v at least as big as o? False Let v = -12 + 23. Let s = -3 - -2.8. Are v and s equal? False Let q be 6/(-4) - 6/(-12). Let v be 1 + 1 + (-32)/17. Which is smaller: v or q? q Suppose 3*h - 2*h - 21 = 0. Let l = -18 + h. Suppose l*t + 1 = 4*t. Is t at most as big as 0? False Let x = -583/5 - -116. Do x and 0 have different values? True Let o = 0.17 + 0.03. Let l = -17 + 6. Let m = l + 13. Is m equal to o? False Let o = -15595452/1015 + 107913/7. Let n = 5158 - 26046/5. Let v = n + o. Are v and -1 unequal? True Let r = 0.2 - 2.2. Let i = 0.28 + -0.17. Let l = i + -0.21. Is r > l? False Let u be 5/(-15) - ((-320)/(-3))/(-8). Which is smaller: -2/7 or u? -2/7 Let k = -0.3 - 0. Let d = k - -1.3. Let h = -2/203 + 60/203. Is d > h? True Let r = 8807/151728 + -1/1744. Which is bigger: r or -1? r Let n = -77 - -193. Which is greater: 115 or n? n Let r(n) = n**2 - 4*n + 1. Let l be r(2). Let y = 35 + -30. Suppose y*d = 3*d - 8. Do d and l have different values? True Let f = 119 - 120.75. Let h = -0.25 + f. Is -0.1 at least h? True Let d(w) = -w**2 - 4*w - 2. Let a be d(-2). Suppose -6 = -a*g - 0. Suppose -g*t - 1 = -4. Which is bigger: t or 1/18? t Let h(u) = u**3 + 6*u**2 + 5*u + 1. Let w be h(-5). Let c = 2 - w. Let x be 2/(-30) - 2/6. Is c greater than or equal to x? True Let f = 279 - 196. Let c = f - 746/9. Let a be 7 - 2 - (5 - -1). Which is greater: a or c? c Let h = -1255 - -877. Is h greater than -378? False Suppose -96 - 65 = -7*z. Is z < 24? True Let j = -65 + 37. Let k be (7/j)/((-185)/24). Let i = 124/7585 + k. Is i greater than -1? True Suppose -2*t = -5*t. Let y(k) = k**3 + 12*k**2 - 63*k + 14. Let l be y(-16). Which is greater: t or l? t Let i be (-20)/80*(-1)/(-11)*38. Let s be ((-2)/506)/((-2)/(-393)). Let w = s - i. Do 0 and w have the same value? False Let m = -1.39 - -1.27. Which is smaller: -1 or m? -1 Let u = 228 - 508. Let p be (4/(-50))/(24/u). Which is smaller: 1 or p? p Let n = 1.1 + -1. Suppose o = -18 + 2. Let v be o/32 - 9/(-6). Are n and v equal? False Let j = -24 + 22. Let o be (-286)/154 - j/28*-2. Let d = -5 + 3. Does d = o? True Let n be 2/54 - (0 + 0). Let s be ((-3)/(12/50))/((-2)/(-4)). Let i be 1/(-5) - ((-15)/(-3))/s. Which is smaller: i or n? i Let x = -105 - -202. Let r = x + -80. Which is smaller: r or -1? -1 Suppose 0 = -36*z - 7*z - 946. Is -5/6 <= z? False Let i be -1 + 2 - 0 - -19. Suppose 3*a = -2*x + 34, -i - 1 = -2*a - x. Suppose -2*w - 2*w = 4. Which is bigger: a or w? a Let k = 1.32 - 1.2. Let y = k + -1.12. Let w = 718 + -7892/11. Is w equal to y? False Let o = -26 + 28. Let k be 3/o*(-22)/(-407). Which is smaller: k or 1? k Let o be (-191)/(-3) - (-1 + 70/42). Are o and 64 equal? False Let u = -8 + 8. Let h be ((-14661)/(-2925) - 5)/(4/30). Is h less than u? False Let k = 5 - 45. Let f be (-184)/k - (-4)/10. Let l = f - 1. Which is bigger: 6 or l? 6 Suppose -10 = -2*g - 0. Suppose 3*v - 2*f + 10 + 21 = 0, -17 = 3*v + g*f. Let l = 111 - 119. Which is bigger: l or v? l Suppose 5 = 8*j - 9*j - 4*x, 3*j - 4*x = 17. Which is smaller: 40/9 or j? j Let a = 139 + -1253/9. Let z(t) = t**3 - t. Let k be z(-1). Suppose -y - 1 = -k. Which is smaller: y or a? y Let q = 42 + -34. Suppose 0 = -q*p + 22 - 126. Which is bigger: -11 or p? -11 Let j(m) = 10*m + 30. Let l be j(6). Let b be (4/l)/(-2*(-2)/(-12)). Which is bigger: -1/4 or b? b Suppose -8*w = 64*w + 360. Let j = -0.8 - -1. Which is bigger: j or w? j Suppose 330 = -12*m + 6*m. Which is smaller: -57 or m? -57 Let f = -18 - -23. Suppose 4 = b - f*b. Which is greater: b or 2/33? 2/33 Let j = -19 + 145. Is -3 at most j? True Let d be (1 - -3)/(-2) + (-5 - (-238)/35). Let f = -3 + 2.3. Let s = f + 1. Is d less than or equal to s? True Let m = -124.6 - -114. Let j = 4.8 + m. Let t = -6 - j. Which is smaller: t or 0? t Let o be 120/10 + -19 + 1 + 31. Which is greater: o or 131/5? 131/5 Let a(k) = 5*k - 16*k + 0*k + 3*k**2 + 16 - 2*k**2. Let w be a(9). Does 0 = w? False Let j = 2.38 - 11.38. Let i = 3401/780 + -79/20. Let c = -14/13 + i. Is c equal to j? False Let a = 2172 - 2184. Is a at most as big as 0.3? True Let f = 1005 - 1004. Let c be 2/3 - (-8)/(-3). Let g be c + 58/28 + 0. Is g bigger than f? False Suppose -8*h + 3*h = 25. Which is greater: 21/8 or h? 21/8 Let o = -10150/47 + 216. Let i(y) = y + 5. Let x be i(-4). Are o and x equal? False Suppose 0 = -4*z + 18 + 78. Suppose 0 = 2*t - z + 350. Let g = t - -311/2. Does -7 = g? False Let r = -95221/180 + 529. Which is bigger: 1/3 or r? 1/3 Let n(i) = 5*i - 317. Let j be n(35). Which is bigger: j or -139? -139 Let v =
{ "pile_set_name": "DM Mathematics" }
lculate n(4). -11 Let y(o) = 3 + 1 + o - 2*o. Let d(q) = -q**3 - 6*q**2 - 5*q - 3. Let z be d(-5). Give y(z). 7 Let q(f) = -3 + 2*f**2 + 0*f**3 + f**2 - f**3 + 5 - 2*f. Calculate q(2). 2 Let c = -3 + 3. Let x = -3 - c. Let b(z) = -7*z + 6. Let k(w) = -13*w + 11. Let u(q) = 11*b(q) - 6*k(q). What is u(x)? -3 Suppose -5*z = -9*z + 12. Let t(c) = -c. Let i(j) = 1. Let p(m) = 5*i(m) + t(m). Determine p(z). 2 Let i(s) = -s**3 - 5*s**2 + s + 5. Let r be i(-5). Let h = r - -3. Let p(q) = -q - 4*q**3 - 2 - q + q**2 + 5*q**h. Determine p(-2). -2 Suppose -r = 4*i - 80, -5*i - 4*r = -2*i - 73. Suppose -4*v = -3 + i. Let s(p) = -4 - 2 - 2*p + p. Calculate s(v). -2 Let x(k) = k**3 - 9*k**2 + 8*k + 2. Let j be x(8). Let n = j - 0. Let c(i) = -2*i**2 - 4 - 4*i**n - i**3 + 4*i**2. Calculate c(-3). 5 Let f(x) = 2 - 5 + 11*x + 3. Let b(d) = 6*d. Let y(q) = 5*b(q) - 3*f(q). Let k(a) = -a - 8. Let p be k(-5). Determine y(p). 9 Let b(f) be the second derivative of -f**5/20 + f**4/12 + f**3/2 + 3*f**2/2 - 2*f. Give b(3). -6 Let g = -10 + 7. Let h be -1*(0 + 2 + g). Let t(f) = 4*f - 3 + 2 + 0. Calculate t(h). 3 Suppose 3*d - 10 = b, 0 = 3*d + 4*b + 5 - 10. Let y(p) = -p + 6. Determine y(d). 3 Let z = 11 - 3. Suppose -4*l + 2*m + 8 = 0, -4*l + 9*l - z = 2*m. Suppose -k + 5*v - 4 = -5*k, l = -3*k - v - 8. Let b(x) = -x**3 - 4*x**2 - x + 2. Give b(k). 6 Suppose -16 = -3*m + 7*m. Let l(v) = -3*v**3 - 7*v**2 + 3. Let k(z) = -z**3 - z**2. Let t(c) = m*k(c) + l(c). Suppose -3 = -5*x + 12. What is t(x)? 3 Let m(z) = -z + 4. Suppose 4*y - 7 = 5. What is m(y)? 1 Suppose -12 = -4*h - 0. Suppose 0*i = h*i - 9. Let r(d) = 9*d**2 + 2*d - d**i + 0*d + 3 - 7*d**2. Determine r(3). 0 Suppose 4*w - 8*w = -12. Let k(y) = -5 + 1 + 0*y**3 - 5*y**2 + 3 - 5*y + y**w. Determine k(6). 5 Let p(a) = -a - 4. Let q(z) = -z + 2. Let j be q(3). Let h = 5 + j. Suppose 0 = n + h. What is p(n)? 0 Let c = -2 - -4. Suppose 7 = c*h + 1. Let m(q) = -q + 4*q**2 - 3 + 2 - q**3 + 0*q**h. Determine m(3). 5 Let k(t) = -3*t. Suppose -2*c = -3*c. Suppose 2*a + c*a = 2. What is k(a)? -3 Let p(a) = 2*a - 13. Suppose 32 + 18 = 5*h. Let t be p(h). Let m(v) = -v + 5. Give m(t). -2 Let l(a) = -a**2 - 6*a + 3. Suppose 4*y + 5*v = 25 + 4, 5*v = -15. Suppose 4*b - 3*h + 22 = 0, 0*b + 5*h - y = 3*b. Give l(b). -4 Let p = -8 + 0. Let y(n) = n - 3. Calculate y(p). -11 Let z(x) be the second derivative of x**5/20 + x**4/3 + x**3/2 + x**2/2 + 5*x. Let c be (-11)/4 - (-2)/(-8). What is z(c)? 1 Suppose -3*l = 2*l - 20. Suppose 4*o - 6 = -5*n - 1, n + l*o = 1. Let k(x) = 9*x**2 - 2*x + 1. Determine k(n). 8 Let y be (-8)/5 + 4/(-10). Suppose -2*l + 0*l = 4*n, 5*n - 26 = 4*l. Let i be 0 + y*1 + n. Let o(j) = -j**3 + j - 6. Give o(i). -6 Let p(o) = o**2 + 2*o + 1. Let r be p(-3). Suppose -d = 4*y + 3*d, r*y = -2*d + 4. Let g(t) = -2*t**2 + t - 2. What is g(y)? -8 Let q = -8 - -14. Let r = q + -3. Suppose -r*o + 5 = 2. Let l(v) = 5*v. Calculate l(o). 5 Let s(a) = -a**3 - 14*a**2 + a + 9. Let q be s(-14). Let w(f) = -f**3 - 5*f**2 - 4. Determine w(q). -4 Let w be (4/6)/((-8)/(-60)). Let r(u) = u**3 - 4*u**2 - 7*u + 7. Calculate r(w). -3 Let w(j) = j**2 + 7*j - 2. Let v(d) = d - 1. Let p(q) = -3*v(q) + w(q). What is p(-3)? -2 Suppose 5 = b + 4*w - 3, -2*b = -4*w - 4. Suppose j = -3, b*n - j - 2 = 13. Let h(v) = 4*v**2 + 2*v - 4*v**2 + 3 - v**2 - 4. Determine h(n). -4 Let i(t) = -5*t - 10. Let n(q) = -q - 1. Let b(o) = -i(o) + 2*n(o). What is b(-4)? -4 Let s(x) = 3*x**2 + 3*x + 5. Let p(t) = 5*t**2 + 4*t + 8. Let v(y) = -5*p(y) + 8*s(y). What is v(2)? 4 Let a(z) be the first derivative of 0*z - 1/2*z**2 + 1. Suppose 4*i - l = 3*l - 8, -5*l = 2*i - 31. Give a(i). -3 Let c be 10/(-35) + 94/(-14). Let l(r) = r**3 + 8*r**2 + 9*r + 9. Determine l(c). -5 Let o(w) be the third derivative of 0*w**5 - 3*w**2 - 1/24*w**4 + 0*w - 1/120*w**6 + 0 - 1/3*w**3. Let k = -3 + 1. Calculate o(k). 8 Suppose 4*o - 30 = -o. Let q(i) = -2*i + 0*i**2 + o*i**3 - i**2 - 1 - i**3. Calculate q(-1). -5 Let h(z) be the second derivative of -z**5/20 - 7*z**4/12 - z**3/2 + 7*z**2/2 - 3*z. Let m = -7 + 1. Calculate h(m). -11 Let k(g) be the third derivative of -7*g**4/24 + g**3/6 - g**2. Suppose -z - 43 = 4*b, 5*z - 12 = 4*b + 61. Let m = -13 - b. Give k(m). 8 Let k(c) = -c**3 - 1. Let a(d) = d**3 + 6*d**2 - 2*d - 3. Let j(b) = -a(b) - 2*k(b). Calculate j(6). 17 Let p(l) = -l**3 + 4*l**2 - 2*l - 1. Suppose -3*y - 18 = -5*h, -18 = 4*y + 3*h + 6. Let j be ((-2)/(-3))/(y/(-18)). What is p(j)? 3 Let k = 3 + 0. Let y(s) be the second derivative of -s**6/360 + s**5/30 + s**3/2 + 3*s. Let r(c) be the second derivative of y(c). Calculate r(k). 3 Let w(z) be the second derivative of z**5/20 - z**4/2 + 2*z**3/3 + 5*z**2/2 - 16*z. Determine w(4). -11 Let m(u) = -u + 8. Let l = 1 - 1. Let n be l - ((-6)/2 - -2). Let p = 1 - n. Give m(p). 8 Let y be -3 + (0/2)/4. Let n(r) be the third derivative of r**5/60 + r**4/8 - r**3/6 + r**2. Determine n(y). -1 Let p(y) be the first derivative of 2*y**2 - y - 2 + 1 + 0. What is p(2)? 7 Let t(i) = 1 - 2*i**2 + 1 + 6*i**2 + 5*i - 2*i**2. Determine t(-4). 14 Let m(x) be the first derivative of -x**2/2 - x + 3. What is m(-4)? 3 Let g(z) = -14*z. Let o(v) = -5*v. Let k(n) = -6*g(n) + 17*o(n). Give k(3). -3 Suppose 2*r - 2 - 2 = 0. Let y(d) = -3 - 3 - 7*d - d**r - 1. Give y(-5). 3 Let h(i) = -4 - 3*i + 14 - 8 - i**2. What is h(-3)? 2 Suppose 2*f - 9 - 5 = 0. Let t = 11 - f. Let u(l) be the third derivative of -l**6/120 + l**5/12 - l**4/6 - l**3/6 - l**2. Give u(t). -1 Let d = 66 - 73. Let q(i) = i**2 + 7*i + 7. Calculate q(d). 7 Let m(x) = x**3 + x + 2. Suppose 7*g + 5*w = 2*g, -2*w = -3*g. What is m(g)? 2 Suppose 0 = f - 41 + 16. Let z(y) = -y**3 + y - 2. Let n be z(-2). Suppose 0 = 3*o - n*a - f, 12 = -6*a + 3*a. Let l(x) = -x**3 + 5*x**2 - 4*x + 1. Give l(o). 7 Let j(r) = r**2 + 8*r + 3. Let y be j(-8). Let d(f) = y*f - 4*f + 3 - 2. Suppose -2*z + 6*z - 20 = 0. Calculate d(z). -4 Let w(r) = r + 13*r**2 + 2 + r - 1. Let j(q) = -2*q - 11. Let u be j(-5). Give w(u). 12 Let r(c) = -4*c - 5. Let o(u) = -2. Let g(m) = -3. Let s(j) = -5*g(j) + 7*o(j). Let n(x) = -r(x) - 6*s(x). Give n(1). 3 Let h(w) be the first derivative of -w**4/4 - w**3 - w**2 - 3*w - 8. Give h(-3). 3 Let i(g) be the first derivative of -g**4/4 - 2*g**3/3 + g + 18. Give i(1). -2 Let k(p) be the second derivative of -p**5/20 - p**4/6 + p**3/3 + 3*p**2/2 + 3*p + 3. Calculate k(-2). -1 Let w(x) be the first derivative of -5*x + 1 - x**3 + 1/2*x**2 - 1/4*x**4. Determine w(-4). 7 Let g(a) = -a**2 + 5*a + 1. Let j = -18 - -24. What is g(j)? -5 Let p(x) = -4 + 5 + 3*x - 6 + 11 + 0. Suppose 13 = 3*o + 5*c, 3*c = o - 2*c + 29. Give p(o). -6 Let y(n) be the third derivative of 11*n**6/120 + n**5/60 + 13*n**2 + 4*n. Determine y(1). 12 Let k(y) = y**3 - y**2 - y + 5. Let m = -54 + 54. Determine k(m). 5 Let u(q) = q**2 - 12*q + 10. Let d be u(11). Let y(i) = -9*i**2 - 2*i - 1. What is y(d)? -8 Let p(i) = i**2 - 6*i + 1. Let r = -9 + 6. Let f(u) = u**3 + 3*u**2 + 4. Let t be f(r). What is p(t)? -7 Let o(l) = -3 - 2 - 2 - 4*l**3 + 6. Determine o(1). -5 Let i = 5 - 3. Let j(z) = 2*z**2 + i*z**2 - z + z**3 + 3 - 3*z**2 - 4*z**2. Give j(3). 0 Let n(a) = 7*a. Let i(w) = w**2 + 4*w + 4. Let u be i(-3). Calculate n(u). 7 Let g(k) = 4*k**3 - 5*k**2 + 8*k - 12. Let o(f) = f**3 + f - 1. Let v(m) = g(m) - 5*o(m). Calculate v(-6). 11 Let t(h) = h**3 + 6*h**2 + 6*h - 3. Let q(l) = 3*l**2 + 6*l + 1. Let d be q(-4). Suppose -10 = -3*n - d. Calculate t(n). -8 Suppose 5 = 5*u - 5. Let y be (8 - u) + -1 + -2. Let g(p) = -p**3 + 4*p**2 - 3*p - 1. Give g(y). -1 Suppose 3*q = -4 - 5. Let z(l) be the second derivative of -1/6*l**3 + 0 - 2*l**2 - 3*l. Determine z(q). -1 Let g(n) = n**2 + 4*n + 4. Let p be (-60)/(-8)*(-1 + (-1)/(-3)). What is g(p)? 9 Let z(w) be the second derivative of -w**5/20 - w**3/3 - w**2/2 + 20*w. Give z(-2). 11 Let p(a) = -6*a. Let n = -6 + 10. Let h(g) = 7*g. Suppose -3*m + 2 = -13. Let w(s) = m*h(s) + n*p(s). Determine w(1). 11 Let i(u) = -u**3 + u**2 + u + 2. Let f = 19 + -11. Suppose 3*o - 9 = -3*l, 6*o = -2*l + 2*o + f. Suppose 0 = 3*y + 2*w + 6, -8 + 2 = -4*y + l*w. What is i(y)? 2 Suppose -2*v = 2*v - 8. Let t(k) = -k**2 + 2*k**v + k - 1 - 2*k**2 - k**2. Let b(p) = -p**3 - p**2 - p
{ "pile_set_name": "DM Mathematics" }