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derivative of m(l) wrt l? 20*l**3 Let n(m) be the first derivative of -3*m**3 + 14*m - 7. Differentiate n(q) with respect to q. -18*q Suppose 3*h = 2*h + 3. Suppose -2*q + h = -3. Find the second derivative of q*i + 5*i**5 - 2*i - 4*i**5 wrt i. 20*i**3 Let f(v) = -690*v**2 + 729*v - 27. Let a(g) = 53*g**2 - 56*g + 2. Let d(z) = -27*a(z) - 2*f(z). Find the second derivative of d(y) wrt y. -102 Let z = -3 + 4. Suppose 0 = -4*l + 8 + 8. Find the first derivative of -z - 6*t**l + 2*t**4 + 0 wrt t. -16*t**3 Let t(x) be the third derivative of 11*x**7/210 - x**3 - 10*x**2. Differentiate t(v) wrt v. 44*v**3 What is the first derivative of 6 - 19*x**2 - 2 - 7 wrt x? -38*x Find the third derivative of 23*v**2 + 19*v**5 + 250*v - 250*v wrt v. 1140*v**2 Let n(g) be the second derivative of g**7/2520 + g**5/40 + g**4/12 + 2*g. Let q(m) be the third derivative of n(m). Differentiate q(r) wrt r. 2*r Let h(x) be the first derivative of 6*x**2 - 29*x + 25. What is the first derivative of h(r) wrt r? 12 Let m be (-12)/(-9) + 1/(-3). Let u(g) = 1. Let y(s) = s**3 + 5. Let p(c) = m*y(c) - 4*u(c). What is the derivative of p(l) wrt l? 3*l**2 Let l = 7 + -5. What is the third derivative of 0*k + 0*k**l + 3*k**2 - 2*k**3 + 0*k wrt k? -12 Let i(b) be the second derivative of b**9/15120 - b**5/24 + b**4/3 + 5*b. Let h(z) be the third derivative of i(z). Find the first derivative of h(u) wrt u. 4*u**3 Let f(z) be the third derivative of -3*z**5/20 - 2*z**3/3 - 11*z**2. What is the first derivative of f(v) wrt v? -18*v Let g(o) = o + 6 - 6. Let u be g(2). Differentiate 3*c**u + 2 - 3*c**2 + 2*c**2 wrt c. 4*c Let z(j) = 31*j**4 - 3*j**3 + 3*j - 3. Let x(q) = 31*q**4 - 2*q**3 + 4*q - 2. Let h(o) = -3*x(o) + 2*z(o). What is the second derivative of h(m) wrt m? -372*m**2 Let t(q) be the third derivative of 0*q**6 + 1/20*q**5 - 4*q**2 + 0*q**3 - 1/84*q**8 + 0*q**4 + 0 + 0*q**7 + 0*q. Find the third derivative of t(m) wrt m. -240*m**2 Suppose -2*z + 3*z - 3 = 0. Differentiate i**4 + z - 2*i**4 + 0*i**4 with respect to i. -4*i**3 Let s(w) be the first derivative of -w**5/10 - w**4/3 - 4*w - 3. Let o(a) be the first derivative of s(a). What is the third derivative of o(m) wrt m? -12 Let g(n) be the second derivative of n**4/12 + 5*n**3/6 + 5*n**2/2 - n. Let x be g(-5). What is the second derivative of -3*a**5 + 0*a - a + a**x wrt a? -40*a**3 Let m = 0 - -8. What is the third derivative of -m*o**2 - o**4 + 6*o**4 + o**2 + 0*o**2 wrt o? 120*o Let b be (-1)/(1 - (-12)/(-9)). Let v = 3 - b. What is the third derivative of -3*n**2 + 4*n**2 - n**3 + v*n**2 wrt n? -6 Let f(c) be the second derivative of -c**5/20 - c**4/2 + 3*c. Find the third derivative of f(k) wrt k. -6 Let b be 31/11 - 12/(-66). Let g(c) be the first derivative of 0*c**2 - 3/5*c**5 - 1 + 0*c**b - 2*c + 0*c**4. Differentiate g(p) wrt p. -12*p**3 Let h(u) = 21*u**4 - 7*u**2 - 7*u - 7. Let b(n) = n + 1. Let v(d) = -7*b(d) - h(d). Find the third derivative of v(f) wrt f. -504*f Let z(y) be the third derivative of y**4/2 + 7*y**3/3 + 14*y**2. What is the derivative of z(k) wrt k? 12 Let x(i) be the first derivative of -8*i**5/5 - 5*i**3/3 - 6. What is the third derivative of x(n) wrt n? -192*n Let f(q) be the second derivative of 3/20*q**5 + 0*q**3 + 0 + 5/12*q**4 + 0*q**2 + 4*q. Find the third derivative of f(w) wrt w. 18 Let l(b) = b + 3. Let c be l(0). Suppose -8 = -4*o - 0*o. What is the third derivative of c*w**4 + 3*w**2 - 5*w**o + 0*w**4 wrt w? 72*w Let n be 16/28*(-7)/(-2). What is the third derivative of -4*s**n - 4*s**3 - 7*s + 7*s wrt s? -24 Let q(t) be the first derivative of -41*t**5/5 - 9*t**2/2 + 46. What is the second derivative of q(n) wrt n? -492*n**2 Let w(l) be the third derivative of -11*l**4/8 - 7*l**3/6 - 35*l**2. Find the first derivative of w(s) wrt s. -33 Let g(d) = -d**3 + 5*d**2 + 2. Let v be g(5). Find the third derivative of 3*p**v - p**3 + 66*p - 66*p wrt p. -6 Let z(v) = -50*v**2 + 26*v. Let g(w) = 150*w**2 - 78*w. Let d(h) = 6*g(h) + 17*z(h). What is the second derivative of d(y) wrt y? 100 Let i(c) be the third derivative of 31*c**6/120 + 7*c**5/15 - 34*c**2. Find the third derivative of i(o) wrt o. 186 Let y = 11 + -6. Find the third derivative of -5*s**2 + s**3 + s**3 - y*s**3 + 4*s**2 wrt s. -18 Let u(j) = j + 15. Let l be ((-4)/(-3))/((-12)/18). Let q(o) = -o - 7. Let a(c) = l*u(c) - 5*q(c). Differentiate a(g) wrt g. 3 Let g be ((-2)/(-4))/(3/(-6)). Let f = 3 - g. Find the third derivative of j**f - j**4 + 2*j**5 - j**2 wrt j. 120*j**2 Let l(k) be the third derivative of -1/40*k**6 + 4*k**2 + 0*k**3 + 0 + 0*k + 0*k**5 - 1/8*k**4. Find the second derivative of l(p) wrt p. -18*p Let u(d) = -2*d**2 - 6*d + 11. Suppose -1 - 12 = g. Let p(c) = 4*c**2 + 13*c - 23. Let n(m) = g*u(m) - 6*p(m). Find the first derivative of n(j) wrt j. 4*j Let c(n) be the first derivative of 0*n**2 + 2*n - 1 - 2/3*n**3. Find the first derivative of c(x) wrt x. -4*x Let h(y) be the first derivative of 2/3*y**3 + 1/24*y**4 + 1 + 0*y - 3/2*y**2. Let j(u) be the second derivative of h(u). Differentiate j(r) wrt r. 1 Let c(n) be the third derivative of -n**5/5 - n**4/24 - n**2. Find the second derivative of c(o) wrt o. -24 Let i(v) be the first derivative of 32*v**5/5 + v**2 + 3*v + 18. What is the second derivative of i(o) wrt o? 384*o**2 Let y(a) be the second derivative of 20*a**7/21 + 25*a**4/12 + 32*a. Find the third derivative of y(s) wrt s. 2400*s**2 Let u(q) = 5*q**3 + 16*q**2 - 2*q - 2. Let t(i) = 14*i**3 + 48*i**2 - 7*i - 7. Let p(f) = 2*t(f) - 7*u(f). Find the third derivative of p(s) wrt s. -42 Let c(s) be the third derivative of 0*s**4 - 1/105*s**7 + 2*s**2 + 0*s**6 + 0*s**5 + 0 + 0*s - 1/3*s**3. What is the derivative of c(w) wrt w? -8*w**3 Find the third derivative of 19*l - 33*l**2 + 34*l**2 - 16*l**3 - l**4 - 27*l wrt l. -24*l - 96 Let f(n) be the first derivative of -10*n**7/7 - 2*n**6/3 + 4*n**3 + n + 42. What is the third derivative of f(g) wrt g? -1200*g**3 - 240*g**2 Let x(s) be the third derivative of 3*s**5/10 + 23*s**3/3 + 43*s**2. Differentiate x(k) wrt k. 36*k Let f(g) be the first derivative of -7*g**4/2 + g**3/3 - 3*g**2/2 - 4*g - 55. What is the second derivative of f(k) wrt k? -84*k + 2 Let v(j) = -3*j + 5*j - 3*j + 1. Let w be v(-6). Differentiate -w*m**3 + 7*m**3 - 2*m**4 - 3 wrt m. -8*m**3 Let z(y) = -9*y**4 - 4*y**2 - 4*y - 5. Let c(r) = -10*r**4 - 5*r**2 - 5*r - 4. Let s(f) = -4*c(f) + 5*z(f). Differentiate s(g) with respect to g. -20*g**3 Let u = -6 - -3. Let b be (-8)/u - 8/12. Find the second derivative of 0*f**2 + f + 3*f**3 + 0*f**b - 2*f wrt f. 18*f Let z = -6 + 6. What is the first derivative of -2*m**3 + m**3 - 2 - 1 + z*m**3 wrt m? -3*m**2 Find the second derivative of -9*r**5 + 314 + 10*r - 314 wrt r. -180*r**3 Suppose 1 + 9 = 5*n. What is the third derivative of 2*y**4 - 2*y**4 + 0*y**4 + 10*y**5 - 10*y**n wrt y? 600*y**2 What is the third derivative of 6*w**2 + 3*w**6 - 199 + 199 wrt w? 360*w**3 Suppose -5*w + 14 + 26 = 0. Suppose -4 = -3*k + 4*u, -4*k - 4*u + w = -16. What is the second derivative of -h + 4*h**3 - h - h**5 - k*h**3 wrt h? -20*h**3 Let q(y) be the first derivative of y**3 - 1 + 3 + 2*y**2 - 3*y**2. Find the second derivative of q(k) wrt k. 6 Let a(q) be the first derivative of -q**7/7 - 12*q**5/5 - 16*q**3/3 - q**2 - 16. Find the third derivative of a(u) wrt u. -120*u**3 - 288*u Let k(c) be the second derivative of 7*c**6/15 + 12*c**2 + 2*c. What is the derivative of k(s) wrt s? 56*s**3 Let m(v) be the first derivative of 4 + 0*v + 1/4*v**4 + 0*v**2 + 2/3*v**3. What is the third derivative of m(o) wrt o? 6 Let t = -8 + 12. Let p(h) be the third derivative of 1/30*h**5 + 0 + h**2 + 0*h - 1/12*h**t + 0*h**3. Find the second derivative of p(d) wrt d. 4 Let z(l) be the third derivative of 2*l**2 - 1/12*l**4 + 0 + 0*l - 2/3*l**3. What is the first derivative of z(n) wrt n? -2 Let p = -9 - -13. Suppose -p*h = -6*h + 10. Find the second derivative of 3*s - h*s + s**3 + 2*s**3 wrt s. 18*s Let l(q) be the third derivative of -q**5/20 + q**4/6 + 6*q**2. What is the second derivative of l(k) wrt k? -6 Suppose -f - 3*l + 17 = 0, -f + 5*l - 16 = 7. Find the first derivative of -3 + 21*a**2 - 2*a**4 - 21*a**f wrt a. -8*a**3 Let j(z) be the third derivative o
{ "pile_set_name": "DM Mathematics" }
1112*l**3 = 0. -926, -3, 0 What is m in -m**4/3 - 2*m**3 + m**2/3 + 2*m = 0? -6, -1, 0, 1 Solve -124*p**3 - 1992*p**2 - 8064*p - 512 = 0. -8, -2/31 Factor -2*p**5/13 + 30*p**4/13 - 162*p**3/13 + 378*p**2/13 - 324*p/13. -2*p*(p - 6)*(p - 3)**3/13 Factor -3*f**3 - 144*f**2 + 453*f - 306. -3*(f - 2)*(f - 1)*(f + 51) Determine d, given that 2*d**2/15 + 22*d/15 + 16/5 = 0. -8, -3 Factor s**3 - 1064*s**2 - 2131*s - 1066. (s - 1066)*(s + 1)**2 Factor -k**3/3 + k**2/3 + 4*k. -k*(k - 4)*(k + 3)/3 What is f in -12*f**5 - 1400*f**4 + 468*f**3 = 0? -117, 0, 1/3 Factor o**2/3 - 272*o/3 - 91. (o - 273)*(o + 1)/3 Determine v so that 3*v**5/2 + 417*v**4/2 + 7743*v**3 + 34257*v**2 + 36783*v/2 - 121203/2 = 0. -67, -3, 1 Factor -m**4 + 67*m**3 - 66*m**2. -m**2*(m - 66)*(m - 1) What is k in k**3/2 - 1418*k**2 + 1005362*k = 0? 0, 1418 Factor 3*f**2 + 495*f + 2862. 3*(f + 6)*(f + 159) What is v in -4*v**4 - 20*v**3 - 32*v**2 - 16*v = 0? -2, -1, 0 Factor -l**2 + 38*l - 192. -(l - 32)*(l - 6) Let -4*b**3 - 216*b**2 - 3888*b - 23328 = 0. What is b? -18 Find d such that -d**4 - 94*d**3 - 273*d**2 + 4*d + 364 = 0. -91, -2, 1 Factor 3*f**2/2 + 135*f/2 + 129. 3*(f + 2)*(f + 43)/2 Factor -y**4 + 305*y**3 - 23101*y**2 - 24021*y + 46818. -(y - 153)**2*(y - 1)*(y + 2) Determine n, given that -5*n**4 - 45*n**3 - 100*n**2 - 60*n = 0. -6, -2, -1, 0 Solve -4*h**3 - 1912*h**2 + 3840*h = 0 for h. -480, 0, 2 Factor -52*w**4 - 212*w**3 - 16*w**2. -4*w**2*(w + 4)*(13*w + 1) Factor -3*y**2/2. -3*y**2/2 Let -102*u**3/7 + 297*u**2/7 + 435*u/7 + 36/7 = 0. Calculate u. -1, -3/34, 4 Let 10*y**2 + 4894*y + 1956 = 0. Calculate y. -489, -2/5 Determine q so that 5*q**5/3 - 25*q**4/3 - 60*q**3 - 80*q**2/3 + 640*q/3 + 240 = 0. -2, 2, 9 Let -2*g**5/11 - 8*g**4/11 + 2*g**3/11 + 8*g**2/11 = 0. What is g? -4, -1, 0, 1 Find d, given that -2*d**5/3 - 2*d**4/3 + 2*d**3/3 + 2*d**2/3 = 0. -1, 0, 1 Factor -3*l**4 + 153*l**3 + 159*l**2 - 153*l - 156. -3*(l - 52)*(l - 1)*(l + 1)**2 Find y such that -y**5/2 - 5*y**4 - 31*y**3/2 - 13*y**2 + 14*y + 20 = 0. -5, -2, 1 Find n, given that n**3/2 + 4*n**2 = 0. -8, 0 Determine p so that p**2/3 - 4*p/3 + 4/3 = 0. 2 Suppose j**4/2 - j**3 - 3*j**2/2 = 0. Calculate j. -1, 0, 3 Suppose 4*a**5/3 + 8*a**4 - 4*a**3/3 - 40*a**2 = 0. Calculate a. -5, -3, 0, 2 Suppose -4*b**5 + 56*b**3 - 48*b**2 - 52*b + 48 = 0. Calculate b. -4, -1, 1, 3 Factor 2*v**4 - 358*v**3 - 724*v**2. 2*v**2*(v - 181)*(v + 2) Find f, given that 2*f**4/5 - 62*f**2/5 - 12*f = 0. -5, -1, 0, 6 Solve c**3 + 31*c**2 - 65*c + 33 = 0 for c. -33, 1 Factor 2*v**2/11 + 6208*v/11 + 4817408/11. 2*(v + 1552)**2/11 Let -j**3/2 - 106*j**2 - 5618*j = 0. Calculate j. -106, 0 What is x in -4*x**3/9 - 16*x**2/9 - 20*x/9 - 8/9 = 0? -2, -1 Find b, given that b**3/8 + 59*b**2/8 + 225*b/4 = 0. -50, -9, 0 Find w such that w**4/5 - 3*w**3 + 69*w**2/5 - 97*w/5 + 42/5 = 0. 1, 6, 7 Factor -q**2/6 + 56*q - 334/3. -(q - 334)*(q - 2)/6 Determine x so that 3*x**5 - 4*x**4 - 8*x**3 + 6*x**2 + 5*x - 2 = 0. -1, 1/3, 1, 2 Let 3*x**4 + 111*x**3 + 693*x**2 - 6615*x = 0. What is x? -21, 0, 5 Factor 4*p**5/3 + 256*p**4/3 + 328*p**3 + 1456*p**2/3 + 964*p/3 + 80. 4*(p + 1)**4*(p + 60)/3 Factor 16*p**2/3 - 65*p/3 + 4/3. (p - 4)*(16*p - 1)/3 Determine w so that -6*w**3/5 - 42*w**2/5 + 1164*w/5 + 2448/5 = 0. -17, -2, 12 Factor -3*g**4 + 45*g**3 - 243*g**2 + 555*g - 450. -3*(g - 5)**2*(g - 3)*(g - 2) Determine q so that 2*q**2/7 - 542*q/7 - 544/7 = 0. -1, 272 Factor -55*o**5 - 2535*o**4 - 29325*o**3 - 2645*o**2. -5*o**2*(o + 23)**2*(11*o + 1) Factor -8*r**4/13 + 10*r**3/13. -2*r**3*(4*r - 5)/13 What is o in o**5/10 + o**4 + o**3 - 8*o**2 - 11*o/10 + 7 = 0? -7, -5, -1, 1, 2 Factor 5*w**2 - 20*w + 15. 5*(w - 3)*(w - 1) Factor 3*q**4 - 63*q**3 + 486*q**2 - 1620*q + 1944. 3*(q - 6)**3*(q - 3) Factor d**2/2 + 21*d/2. d*(d + 21)/2 Let -3*a**5 + 27*a**4 + 87*a**3 - 243*a**2 + 132*a = 0. What is a? -4, 0, 1, 11 Determine d, given that -4*d**5/9 - 22*d**4/9 + 100*d**3/3 + 1928*d**2/9 + 728*d/9 - 98 = 0. -7, -1, 1/2, 9 Let -9*i**5 - 114*i**4 - 330*i**3 + 240*i**2 + 339*i - 126 = 0. Calculate i. -7, -6, -1, 1/3, 1 Determine k so that 33*k**4 - 248*k**3 - 385*k**2/3 + 2*k + 16/3 = 0. -1/3, 2/11, 8 Factor v**3 - 14*v**2 - 9*v + 126. (v - 14)*(v - 3)*(v + 3) Factor a**4/3 + 19*a**3/3 + 21*a**2 + 15*a. a*(a + 1)*(a + 3)*(a + 15)/3 Factor -2*m**2/9 + 86*m/9 - 884/9. -2*(m - 26)*(m - 17)/9 Factor -5*f**2 - 30*f - 40. -5*(f + 2)*(f + 4) Let 4*g**5 + 24*g**4 + 12*g**3 - 104*g**2 - 96*g = 0. What is g? -4, -3, -1, 0, 2 Factor -f**3/4 - 9*f**2/2. -f**2*(f + 18)/4 Factor b**5 - 7*b**4 - 10*b**3 + 16*b**2. b**2*(b - 8)*(b - 1)*(b + 2) Factor -n**3/2 - 9*n**2 - 30*n - 28. -(n + 2)**2*(n + 14)/2 Solve d**5/5 + 16*d**4/5 - 2*d**3/5 - 32*d**2/5 + d/5 + 16/5 = 0. -16, -1, 1 Find g such that g**5/6 - 7*g**3/2 - 10*g**2/3 = 0. -4, -1, 0, 5 Suppose -4*o**3 - 200*o**2 - 2948*o - 13552 = 0. Calculate o. -28, -11 Find w such that -2*w**4/17 + 28*w**3/17 - 66*w**2/17 - 224*w/17 - 128/17 = 0. -1, 8 Factor -m**4 + 35*m**3 - 128*m**2 + 124*m. -m*(m - 31)*(m - 2)**2 Factor j**3/3 + 4034*j**2/3. j**2*(j + 4034)/3 Factor 2*f**4 - 48*f**3 + 82*f**2 + 132*f. 2*f*(f - 22)*(f - 3)*(f + 1) Determine m, given that 2*m**4/3 + 22*m**3/3 + 46*m**2/3 - 70*m/3 = 0. -7, -5, 0, 1 Solve w**4 - 304*w**3 + 22798*w**2 + 46512*w + 23409 = 0 for w. -1, 153 Factor -4*d**2/7 - 144*d/7 - 20. -4*(d + 1)*(d + 35)/7 Determine v so that -v**4/3 + 10*v**3/3 + 13*v**2/3 - 22*v/3 = 0. -2, 0, 1, 11 Let -p**2/7 - 562*p/7 - 160 = 0. Calculate p. -560, -2 Factor 2*x**4/5 + 222*x**3/5 + 6048*x**2/5 - 6272*x/5. 2*x*(x - 1)*(x + 56)**2/5 Solve 3*p**5 + 3*p**4 - 51*p**3 - 51*p**2 + 48*p + 48 = 0 for p. -4, -1, 1, 4 Determine c, given that 16*c**4/13 + 58*c**3/13 + 56*c**2/13 + 2*c/13 - 12/13 = 0. -2, -1, 3/8 Solve 2*n**2/3 + 28*n - 470/3 = 0. -47, 5 Factor -675*u**3 + 7245*u**2 + 1968*u + 132. -3*(u - 11)*(15*u + 2)**2 Factor 6*f**5/5 - 12*f**4 + 102*f**3/5 - 48*f**2/5. 6*f**2*(f - 8)*(f - 1)**2/5 Solve -y**4/2 + 18*y**3 - 207*y**2 + 810*y - 2025/2 = 0. 3, 15 Factor 3*w**4 - 138*w**3 + 1092*w**2 + 12168*w. 3*w*(w - 26)**2*(w + 6) Let -5*i**4 - 45*i**3 + 5*i**2 + 45*i = 0. What is i? -9, -1, 0, 1 Factor x**4 - 3*x**3. x**3*(x - 3) Determine a, given that 4*a**2 - 40*a + 84 = 0. 3, 7 Suppose 3*c**2/4 - 1455*c/4 = 0. What is c? 0, 485 Determine b, given that 2*b**3/5 - 74*b**2/15 - 18*b/5 + 26/15 = 0. -1, 1/3, 13 Suppose -k**3 + 11*k**2 - 23*k - 35 = 0. Calculate k. -1, 5, 7 Factor -c**3/2 + 43*c**2 - 1849*c/2. -c*(c - 43)**2/2 Factor -5*d**5 + 12585*d**4 - 7912815*d**3 - 7925405*d**2. -5*d**2*(d - 1259)**2*(d + 1) Solve g**4/5 - 7*g**3/5 + 11*g**2/5 + 7*g/5 - 12/5 = 0 for g. -1, 1, 3, 4 Factor 4*a**2/3 + a - 280/3. (a - 8)*(4*a + 35)/3 Suppose 2*s**3/11 + 34*s**2/11 + 8*s + 56/11 = 0. Calculate s. -14, -2, -1 Find z, given that 418*z**4 - 3340*z**3 + 8328*z**2 - 6608*z - 64 = 0. -2/209, 2, 4 Factor -3*f**3/7 - 45*f**2/7 - 144*f/7 + 192/7. -3*(f - 1)*(f + 8)**2/7 Factor -2*f**2/21 + 58*f/7 - 340/21. -2*(f - 85)*(f - 2)/21 Factor -2*u**2 + 840*u - 838. -2*(u - 419)*(u - 1) Suppose 3*u**4 - 24*u**3 + 51*u**2 - 30*u = 0. Calculate u. 0, 1, 2, 5 Factor 2*z**3/3 - 1570*z**2/3 - 1576*z/3 + 1048. 2*(z - 786)*(z - 1)*(z + 2)/3 Determine o so that 4*o**5/15 - 26*o**4/15 + 26*o**3/15 + 4*o**2/3 = 0. -1/2, 0, 2, 5 Let -2*p**2/7 - 304*p/7 - 894/7 = 0. Calculate p. -149, -3 Factor -3*o**3 - 51*o**2 + 2415*o + 46023. -3*(o - 29)*(o + 23)**2 Find f, given that -4*f**4 - 116*f**3 - 1080*f**2 - 3888*f - 4320 = 0. -15, -6, -2 Factor -3*f**3/5 - 138*f**2/5 - 1587*f/5. -3*f*(f + 23)**2/5 Factor 4*h**3 + 276*h**2 + 6240*h + 46400. 4*(h + 20)**2*(h + 29) Factor 11*b**5 + 159*b**4 + 466*b**3 + 554*b**2 + 291*b + 55. (b + 1)**3*(b + 11)*(11*b + 5) Determine g, given that -20*g**2 + 145*g - 210 = 0. 2, 21/4 What is d in -d**3 + 66*d**2 - 125*d - 192 = 0? -1, 3, 64 Find i, given that i**2/4 - 1676*i + 2808976 = 0. 3352 Solve 3*x**2 + 111*x - 492 = 0 for x. -41, 4 Find v such that -5*v**3 - 63*v**2 - 154*v - 96 = 0. -48/5, -2, -1 What is f in -8*f**3 - 36*f**2 + 20*f = 0? -5, 0, 1/2 Factor -w**2 + 10*w - 9. -(w - 9)*(w - 1) Find p such that -p**2/7 - 4*p/7 + 3 = 0. -7, 3 Factor 3*w**4/4 - 243*w**3/4 - 495*w**2/4 - 249*w/4. 3*w*(w - 83)*(w + 1)**2/4 Fin
{ "pile_set_name": "DM Mathematics" }
4635? 15 What is the highest common factor of 828943 and 32798? 529 What is the greatest common factor of 8680418 and 9376? 586 Calculate the highest common factor of 15 and 95301090. 15 Calculate the greatest common divisor of 404713161 and 909. 909 Calculate the greatest common divisor of 7114506 and 273. 21 What is the greatest common factor of 2607 and 19? 1 What is the highest common divisor of 18880295 and 9086? 413 Calculate the greatest common factor of 13090406 and 4. 2 Calculate the greatest common divisor of 32685365 and 4240. 265 What is the highest common factor of 40 and 9011368? 8 Calculate the highest common factor of 9416746 and 310. 62 Calculate the highest common factor of 3579675 and 15. 15 Calculate the greatest common divisor of 320952 and 999865. 311 What is the highest common factor of 1060 and 3808315? 265 What is the greatest common factor of 300 and 1929090? 30 What is the greatest common divisor of 78550 and 56? 2 What is the highest common divisor of 317442 and 351822? 1146 What is the greatest common divisor of 11505132 and 10410? 2082 What is the greatest common factor of 642135 and 97865? 185 Calculate the greatest common factor of 3059 and 709859. 19 What is the highest common divisor of 1946885 and 1025? 205 Calculate the highest common divisor of 24 and 118431776. 8 What is the greatest common factor of 898683 and 556989? 1389 What is the highest common factor of 1930 and 40130? 10 What is the greatest common factor of 394 and 48407234? 394 What is the highest common factor of 32 and 146312592? 16 Calculate the greatest common divisor of 36234128 and 7232. 1808 What is the greatest common factor of 49459894 and 1232? 22 What is the greatest common divisor of 32438418 and 7383? 69 What is the greatest common factor of 833 and 837704? 49 Calculate the highest common factor of 157994728 and 71896. 6536 Calculate the highest common factor of 23 and 118636783. 23 Calculate the greatest common divisor of 2457135 and 5070. 15 Calculate the greatest common divisor of 5 and 6623372. 1 Calculate the highest common divisor of 12288890 and 30. 10 What is the greatest common factor of 400144 and 941912? 2248 What is the greatest common factor of 332560 and 48641057? 4157 What is the highest common factor of 16 and 3338332? 4 Calculate the greatest common divisor of 1116612 and 411. 3 What is the highest common divisor of 2105694 and 1970240? 12314 What is the highest common divisor of 189495638 and 453? 151 What is the highest common divisor of 396 and 303633? 99 What is the highest common divisor of 1985448 and 36? 12 What is the greatest common divisor of 229174 and 297? 11 What is the highest common divisor of 49724 and 13454? 62 Calculate the highest common factor of 2877 and 6321728. 959 What is the highest common factor of 7555 and 9608449? 1511 What is the highest common divisor of 1738 and 12658580? 22 What is the greatest common factor of 4107229 and 371581? 763 Calculate the greatest common factor of 31843 and 204806. 7 Calculate the greatest common factor of 22016 and 118208. 64 Calculate the greatest common factor of 2586249 and 68121. 2349 What is the greatest common divisor of 140160 and 886220? 1460 What is the greatest common divisor of 208495 and 40771410? 4255 Calculate the highest common divisor of 20480 and 2630080. 320 Calculate the greatest common factor of 11569894 and 79407. 2941 What is the greatest common factor of 16730 and 94430? 70 What is the highest common factor of 287326074 and 276? 138 What is the highest common divisor of 70 and 364527835? 35 What is the highest common divisor of 277176 and 34296? 24 What is the highest common factor of 120117100 and 1350? 50 What is the highest common divisor of 23720351 and 23257? 1789 What is the highest common factor of 10451 and 33187? 7 What is the greatest common divisor of 2196269 and 927? 103 What is the greatest common factor of 36701 and 2927841? 749 Calculate the greatest common factor of 152221 and 5278. 29 Calculate the greatest common divisor of 632352 and 132480. 96 Calculate the highest common factor of 24 and 33323064. 24 What is the greatest common divisor of 4042912 and 336? 16 Calculate the greatest common factor of 153 and 520251. 51 What is the highest common factor of 265341440 and 910? 910 Calculate the highest common factor of 7136440 and 610. 10 What is the highest common factor of 455501 and 254497? 1621 Calculate the greatest common divisor of 2800215 and 121. 11 Calculate the greatest common factor of 2167 and 14037408. 11 Calculate the greatest common divisor of 5840 and 60111704. 584 What is the greatest common divisor of 3357974 and 5213? 401 What is the highest common factor of 55 and 1689995? 5 What is the highest common divisor of 8798166 and 151302? 906 Calculate the greatest common factor of 18409 and 20653551. 449 Calculate the greatest common factor of 113 and 57394621. 113 What is the greatest common factor of 5523 and 42749861? 1841 What is the highest common divisor of 87870383 and 247? 19 Calculate the highest common divisor of 187 and 16404586. 11 Calculate the greatest common factor of 4720324 and 3156. 1052 What is the greatest common factor of 3126393 and 7614? 423 Calculate the greatest common divisor of 2925 and 478359765. 585 What is the highest common factor of 1415190 and 30? 30 What is the highest common divisor of 776 and 1042556? 388 What is the highest common divisor of 1767 and 162436776? 1767 Calculate the greatest common factor of 142 and 235453. 1 Calculate the highest common factor of 6617968 and 115514. 518 Calculate the greatest common factor of 8458192 and 48. 16 What is the highest common factor of 4107 and 363869248? 1369 Calculate the highest common divisor of 83268 and 618342. 1542 What is the greatest common divisor of 23256 and 2147576? 136 What is the highest common divisor of 1052465140 and 7666? 7666 Calculate the highest common divisor of 66 and 114285039. 33 What is the highest common factor of 494292232 and 1608? 536 What is the greatest common factor of 4057 and 52866767? 4057 What is the highest common factor of 132237024 and 24? 24 What is the greatest common divisor of 7007455 and 4095? 455 What is the highest common factor of 1659 and 14115009? 237 What is the highest common factor of 98 and 2355871? 49 Calculate the greatest common factor of 1460592 and 4410. 882 Calculate the greatest common divisor of 303 and 5923326. 3 Calculate the highest common divisor of 4020 and 5819084. 268 Calculate the greatest common factor of 580290 and 1305. 435 Calculate the highest common factor of 483903872 and 128. 128 Calculate the greatest common factor of 60 and 7238740. 20 Calculate the highest common factor of 1104719963 and 79. 79 What is the greatest common factor of 1756414 and 754? 58 What is the highest common divisor of 42 and 178439394? 42 Calculate the greatest common divisor of 36 and 50953410. 18 Calculate the greatest common divisor of 296476 and 643250. 166 What is the highest common divisor of 6375 and 33742025? 425 Calculate the highest common divisor of 2245 and 33035175. 2245 What is the highest common factor of 5580856 and 25048? 808 What is the highest common divisor of 578205 and 30? 15 Calculate the greatest common factor of 186169137 and 231. 231 What is the greatest common factor of 2604 and 2547828? 372 What is the highest common factor of 3909115 and 9380? 2345 What is the highest common divisor of 310 and 242351800? 310 What is the highest common factor of 4913 and 145962? 17 Calculate the highest common factor of 206110 and 130. 10 Calculate the greatest common divisor of 131 and 3917817. 131 What is the greatest common factor of 979 and 51985879? 979 Calculate the greatest common factor of 3727085 and 11645. 685 What is the highest common factor of 2193 and 27564204? 129 What is the highest common factor of 88244500 and 500? 500 What is the greatest common factor of 873 and 8773553? 97 What is the greatest common divisor of 14 and 30592996? 14 What is the highest common divisor of 859104 and 344144? 2512 What is the greatest common factor of 860 and 110872820? 20 Calculate the greatest common factor of 6727422 and 273. 39 Calculate the highest common d
{ "pile_set_name": "DM Mathematics" }
for j. 64 Solve -14*s + 0*s + 34522 - 36431 = 9*s for s. -83 Solve -103*c + 365*c - 1785 = -13106 - 2565 for c. -53 Solve -122*l - 124*l - 8726 = -27*l - 29750 for l. 96 Solve 453243 - 458829 = 57*z for z. -98 Solve 125203*i = 109105*i - 2302014 for i. -143 Solve -30897 = 86*a - 63161 + 38714 for a. -75 Solve 4638 - 4407 = 7*d - 14*d for d. -33 Solve -659*f - 580*f + 5873 - 1840 = -1130*f for f. 37 Solve 176479 - 62539 = -1055*y for y. -108 Solve 67353 + 85665 = -1209*k + 10356 for k. -118 Solve 0 = 152*q + 6246 - 8222 for q. 13 Solve -8*i + 3360 = 232*i for i. 14 Solve 284*u - 735 = 3309 + 1352 for u. 19 Solve 3170 = -135*h + 510*h - 6205 for h. 25 Solve 92 - 237 - 311 = 50*r + 1094 for r. -31 Solve 0 = b + 962*b - 40446 for b. 42 Solve 33*n - 539 = 913 for n. 44 Solve -4304101 = 16*k - 4304853 for k. 47 Solve 638*v - 756*v = 0 for v. 0 Solve -5*a - 61*a - 775 + 1164 + 2251 = 0 for a. 40 Solve -86*u + 12309 + 33181 = -927*u + 9327 for u. -43 Solve 277*x - 345*x = 1565*x + 442*x - 60175 for x. 29 Solve -94*t + 295 = -2596 + 1094 - 2715 for t. 48 Solve 58*b + 92 - 177 - 31 = 0 for b. 2 Solve -249038 = -413*s - 5285*s - 49608 for s. 35 Solve 8711*y - 427950 = -214707 + 457504 for y. 77 Solve 740*c + 730*c + 5106 = 1332*c for c. -37 Solve 0 = -477*d + 1989 + 873 for d. 6 Solve 13375*z - 337*z - 1382028 = 0 for z. 106 Solve -410*m = 12536 + 10197 + 24007 for m. -114 Solve 1254467 = 309*k + 1269917 for k. -50 Solve 0 = 145*z + 1767 + 2005 + 1782 - 624 for z. -34 Solve -87*l = -20761711 + 20766931 for l. -60 Solve 0 = 77*d + 80*d + 102*d + 56*d + 9135 for d. -29 Solve 884*a - 1862924 = -1831100 for a. 36 Solve -1450437 = -386*j - 1462789 for j. -32 Solve -1479*x - 54414 = -1243*x + 695*x + 2092*x for x. -18 Solve 2964*v = 2909*v + 1045 for v. 19 Solve -355*l = -515*l + 801*l + 36537 for l. -57 Solve -423*t = -209597 + 194369 for t. 36 Solve 18*t - 191*t - 4380 = 119*t for t. -15 Solve 706*y - 1193*y - 29666 - 107509 = 1838*y for y. -59 Solve -31*r + 469 - 81 = -3*r + 108 for r. 10 Solve -230*t - 64381 = -76801 for t. 54 Solve -952*j - 204*j - 27744 = 0 for j. -24 Solve 118 = 43880*y - 43846*y + 424 for y. -9 Solve -545*r = -120150 + 154485 for r. -63 Solve 2132 = 688*v - 606*v for v. 26 Solve -909*x + 3991 + 4253 = -20525 - 15772 for x. 49 Solve -217*u = -1242*u + 21525 for u. 21 Solve 2233 - 13701 = -244*v for v. 47 Solve -91 = -6*u + 11*u + 132 - 168 for u. -11 Solve 220*n + 407*n = -322*n + 69*n - 46640 for n. -53 Solve 0 = 167*u + 5729 + 13030 - 27777 for u. 54 Solve -1128*p + 346*p - 51876 = -4174 for p. -61 Solve -2382 - 207 = 41*s + 18*s + 951 for s. -60 Solve 362*l + 8115 + 14565 = -583*l for l. -24 Solve 3260*c + 2523*c + 46264 = 0 for c. -8 Solve -736*i - 134853 = -734*i - 1709*i for i. 79 Solve -13935 = -4174*p + 91767 + 115520 for p. 53 Solve -1243*y - 40392 = -121*y for y. -36 Solve -2485090*p = -2484560*p - 24910 for p. 47 Solve -3546*a + 12367 = -8036*a - 4612*a - 142367 for a. -17 Solve 0 = -486*x + 4045*x - 598*x + 207270 for x. -70 Solve 36*h + 33*h - 64*h - 225 = -10*h for h. 15 Solve 4295*u - 4910 = -4318*u + 8487*u - 1004 for u. 31 Solve -4611*h - 333183 = -74967 for h. -56 Solve -382*r = -53*r + 1124 + 4378 - 28203 for r. 69 Solve 289*f - 705*f - 58240 = 0 for f. -140 Solve 529*q - 13558 = 26646 for q. 76 Solve 160*c = 24257 - 9697 for c. 91 Solve -720*b + 31178 = -36502 for b. 94 Solve -9431 + 2123 = -522*g for g. 14 Solve 212*c + 57*c - 23*c + 6640 = -169*c for c. -16 Solve 0 = 145*w - 182047 + 194952 for w. -89 Solve -24*t + 2124 = 2868 for t. -31 Solve -693*b + 547*b = -1017 + 10507 for b. -65 Solve 743*y + 25264 - 15970 = -37515 for y. -63 Solve -205*g - 15*g - 128182 + 154582 = -0*g for g. 120 Solve -196*s + 68*s - 35*s - 19350 = 95*s for s. -75 Solve 1580*b + 1441*b + 82408 = -17285 for b. -33 Solve 79*t - 3256 - 2590 = 0 for t. 74 Solve 16*u - 32 = -232 - 273 - 263 for u. -46 Solve -3077*m + 53662 = -71942 + 42685 - 261705 for m. 112 Solve 69090 = -1313*d + 3616*d for d. 30 Solve 35454*o + 1984905 = 50157*o for o. 135 Solve 207*y + 83*y + 73*y = -6171 for y. -17 Solve 554255 = 15500*h - 5872*h - 158217 for h. 74 Solve 163*v - 17338 = -18316 for v. -6 Solve -3533*p = 185*p - 107822 for p. 29 Solve -1142 - 2692 = -156*q - 483*q for q. 6 Solve -341*p - 1682*p - 115311 = 0 for p. -57 Solve 138 + 41 = 6*y - 94 + 63 for y. 35 Solve 3241*y - 6458*y = -3213*y + 480 for y. -120 Solve 275*o + 91*o + 21121 = -1205 for o. -61 Solve 114*s - 898*s - 386 + 942 = -1012 for s. 2 Solve -224*g - 163*g + 324*g = -2457 for g. 39 Solve 52*o + 728*o = 64*o - 21480 for o. -30 Solve -965*q = -472*q - 21692 for q. 44 Solve 742 = -59*q + 905*q - 832*q for q. 53 Solve 70332 = 1997*h - 13528 + 23708 - 65659 for h. 63 Solve 271*c + 16012 = -2687 for c. -69 Solve -126022*u + 126028*u + 120 = 0 for u. -20 Solve 8327 = 186129*z - 185851*z - 7519 for z. 57 Solve -1135*i + 31902 = 612*i + 1386 - 930 for i. 18 Solve -390 + 678 = -159*p - 3051 for p. -21 Solve 2493*b + 11815 = 2632*b for b. 85 Solve 3197 + 3442 = 94*x + 2048 - 1425 for x. 64 Solve 3551 = -131*i - 133*i + 24143 for i. 78 Solve -111*m - 58*m - 96*m + 21995 = 0 for m. 83 Solve -175*o + 3536 = 188*o - 5625 - 8989 for o. 50 Solve 0 = -90*c - 154*c + 75*c - 507 for c. -3 Solve -33*q - 8686 = -12481 for q. 115 Solve -479*y + 553710 - 575265 = 0 for y. -45 Solve -404*o - 7481 - 7247 = 2073 + 4611 for o. -53 Solve 233840 = 3862*f - 6785*f for f. -80 Solve 1421*y = -42483 - 17199 for y. -42 Solve 15072 + 18192 = -1386*x for x. -24 Solve 2463*v + 14688 = 2191*v for v. -54 Solve 841*f - 853 - 13581 = 1545 for f. 19 Solve -350 + 67 = -83*a + 802 + 1322 for a. 29 Solve -90352 = 97*o - 88315 for o. -21 Solve -252*i - 1115*i = 42377 for i. -31 Solve 0 = 53*d - 3096 + 4474 for d. -26 Solve -2525*n + 17444 - 136960 = -25411 + 72545 for n. -66 Solve -2270144*s + 2270086*s - 3248 = 0 for s. -56 Solve 912*z + 1076*z + 94530 = -1732*z + 569*z for z. -30 Solve -2123*s = 7205 - 90002 for s. 39 Solve -4034 = -62*y - 1616 for y. 39 Solve 3228*k + 9212 - 206864 = 875*k for k. 84 Solve 109*x = -386*x - 6435 for x. -13 Solve 33*j + 82757 = 83846 for j. 33 Solve 36963 - 21009 + 45510 = -815*c + 27*c for c. -78 Solve -56*g - 90*g = 58*g + 8772 for g. -43 Solve -97*a + 1345 + 5361 = 166*a + 216*a for a. 14 Solve 65*b + 14*b = -1214 + 2087 + 3630 for b. 57 Solve -16805*b + 404*b = -896*b + 77525 for b. -5 Solve -459938*v = -459927*v - 429 for v. 39 Solve 7770190*j - 995 = 7769991*j for j. 5 Solve 348*h + 7443 - 10399 - 44720 = 0 for h. 137 Solve 36617*a - 36844*a = 9307 for a. -41 Solve -235*x + 798 = -121*x - 121*x for x. -114 Solve 105 - 127 = 69*x + 1358 for x. -20 Solve 168*m + 121*m + 1669 = -113*m - 11597 for m. -33 Solve 3762*r = -50978 + 86439 + 130067 for r. 44 Solve -2032*u + 5144 - 79247 = 36687 + 9098 for u. -59 Solve 283*v - 272*v = 1362*v - 54040 for v. 40 Solve 1285*y + 166*y = 7865*y + 2027*y - 25323 for y. 3 Solve 8105 = 504*k + 479*k + 28918 + 6711 for k. -28 Solve -125819 = -3207*f - 69536 + 78411 for f. 42 Solve -10*m - 1053 = 34*m + 15*m - 4711 for m. 62 Solve -216789*z + 108449*z = -108503*z + 10106 for z. 62 Solve 0 = -1423*g - 118*g + 7963*g - 314678 for g. 49 Solve 25307*r - 2342*r + 9368*r - 2891873 - 1085086 = 0 for r. 123 Solve -104*y - 12972 = -81*y + 259*y for y. -46 Solve 0 = -3643*v + 115941 + 95353 for v. 58 Solve 31*w - 207 = -37*w - 3 for w. 3 Solve 643*n = -11851 - 2370 - 16643 for n. -48 Solve 7225 = 347*h + 29086 for h. -63 Solve 1666*q - 1517*q + 2949*q = -173488 for q. -56 Solve 279*k - 6263 = 145*k + 1643 for k. 59 Solve 190*u + 145*u + 11221 = -233*u - 2979 for u. -25 Solve 2272 - 846 = 31*o for o. 46 Solve 4535*x + 5167*x - 2093*x = -152180 for x. -20 Solve -4201*m + 55295 + 11736 + 6751 = -102*m for m. 18 Solve 895*q - 5963 = 984*q for q. -67 Solve -531964 = -448*v - 507324 for v. 55 Solve 0 = -757*l + 33495 + 29996 - 21099 for l. 56 Solve 72392 = -21*b + 73652 for b. 60 Solve -224*s = -1632 - 3094 - 2442 for s. 32 Solve 319943*v + 571 = 320514*v for v. 1 Solve 0 = 12855*t + 565*t + 296955 - 1424235 for t. 84 Solve -2483 - 4454 - 3504 + 3226 = 111*z for z. -65 Solve -6339*p + 386 = -6151*p + 10 for p. 2 Solve 67310 + 384454 = 7186*k - 72814 for k. 73 Solve -59*l + 824 + 373
{ "pile_set_name": "DM Mathematics" }
Simplify q*q*((q*q**(-3))/q)/q*q/(q/q**12*q) assuming q is positive. q**9 Simplify (z*z**32)/z*z/(z*z**11) assuming z is positive. z**21 Simplify ((z*z**2*z*z)/z*z)**9*z**(-4)*z**4 assuming z is positive. z**45 Simplify (d/(d/(d*(d**(-1)*d)/d*d)))**13*(d**(3/5)/d)/(d*d**(3/4)) assuming d is positive. d**(217/20) Simplify (g**(2/5)/(g**(-3/8)/g))/(g**(-8/3)/(g**(3/7)*g)) assuming g is positive. g**(4931/840) Simplify (x**(2/27))**35 assuming x is positive. x**(70/27) Simplify (q/(q*q**(-1)))**(-15/8)*(q/q**0)/(q/q**(-3)) assuming q is positive. q**(-39/8) Simplify (((o/((o*o*o*o/((o/(o*o**(-2/17)*o))/o))/o))/o)**(2/27))**(7/5) assuming o is positive. o**(-1162/2295) Simplify (((k/k**(-3))/k*k)/(k*k/k**(1/7)))**(-2/35) assuming k is positive. k**(-6/49) Simplify (f/(f/f**(-3)*f))/(f/f**(3/2)) assuming f is positive. f**(-7/2) Simplify v*(v*v*v/v**(-20))/v*v**(-2/33) assuming v is positive. v**(757/33) Simplify (((o*o**(-1/8)/o*o)/o)/o*(((o*o**5)/o)/o)/o)**(-48) assuming o is positive. o**(-90) Simplify ((m/(m/m**(2/7)))/m*m**(3/7)*m)**(-8/13) assuming m is positive. m**(-40/91) Simplify g/(((g/((((g*g/(g/g**39*g))/g)/g)/g*g))/g)/g)*g*(g/(g/(g*(g*(g*((g/(g**2*g)*g)/g)/g)/g)/g)))/g assuming g is positive. g**37 Simplify (s/s**1)**4/(s*s*s**(2/3)*s**(-3)) assuming s is positive. s**(1/3) Simplify a**(2/11)/(a*a**(-18)) assuming a is positive. a**(189/11) Simplify (r/r**(-7))**(-5) assuming r is positive. r**(-40) Simplify (s/(s*s/(s**7/s)*s)*s)**(-31) assuming s is positive. s**(-155) Simplify (d*d/(d/(d/(d*d**(-11)))))**27 assuming d is positive. d**324 Simplify ((q/(q*q**(-2/9)))**22)**(-30) assuming q is positive. q**(-440/3) Simplify (m/m**(3/7))/(((m*m*m*(m/m**(4/7))/m*m)/m)/m)*m**(-1/5)/m**(-1/6) assuming m is positive. m**(-187/210) Simplify v**15/(v/v**(-16)) assuming v is positive. v**(-2) Simplify z*z*z*z*z**(-8)/z*z**(4/3)*z assuming z is positive. z**(-8/3) Simplify (m**(-2))**(-2/9)/(m*(m**(-2)/m)/m*m)**(-1/46) assuming m is positive. m**(83/207) Simplify (t/(t**(-1/41)*t*t))**(8/3) assuming t is positive. t**(-320/123) Simplify (f**2/f*f*f/(f**(-7)/f))/(f/f**(-7)*(f*f*f/(f**6/f*f)*f)/f) assuming f is positive. f**6 Simplify (m*m*m*m*m**(2/11)*m/(m*m**(-6))*m)/(m**(2/5))**(-3/5) assuming m is positive. m**(3141/275) Simplify (r/r**(-5)*r**(3/4))/(r**(2/23)/r*r*r*r*r/((r/(r/(r**(-2/13)*r*r))*r)/r)*r) assuming r is positive. r**(5393/1196) Simplify (m**(-1/13))**(-1/43) assuming m is positive. m**(1/559) Simplify t/(t**(-3)*t)*t/(t/((t/(t/t**3)*t)/t))*(t*t/((t**0*t)/t)*t*t)**18 assuming t is positive. t**78 Simplify ((k/(k*k**(-1)/k))**42)**(-43) assuming k is positive. k**(-3612) Simplify (c*c**(-5/3))/(c/(c/((c*c*c**(2/13)/c*c)/c)*c)*c)*(((c**(2/11)*c)/c)/c)/(c**(3/2)*c) assuming c is positive. c**(-4409/858) Simplify ((k*k**(-2/79))/k)/((k/((k*k**(2/43)/k)/k*k)*k)/k) assuming k is positive. k**(-3325/3397) Simplify (m**(-9))**(-1/47) assuming m is positive. m**(9/47) Simplify (u*u**27)**(-2/61) assuming u is positive. u**(-56/61) Simplify (y/y**(-4))**(-44) assuming y is positive. y**(-220) Simplify (i*i*i**(-4/21)*i)/(i**24*i*i) assuming i is positive. i**(-487/21) Simplify (a/((a*a**4*a)/a))**(4/29) assuming a is positive. a**(-16/29) Simplify (a*((a/((a**1*a)/a))/a*a*a)/a)/((a*a*a**(2/13))/a)*((a/a**5)/a)/((a*a*a*a**(1/5))/a) assuming a is positive. a**(-478/65) Simplify ((a**(-5)*a*a)/(a*a/((a*a**(-1/8))/a)*a))**13 assuming a is positive. a**(-637/8) Simplify (l*l**(2/23))**(-44) assuming l is positive. l**(-1100/23) Simplify (p**4/p**(4/7))/((p*p**(-2/7))/p**(1/2)) assuming p is positive. p**(45/14) Simplify (r**(-2/11)*r)**1 assuming r is positive. r**(9/11) Simplify ((g**(-4))**(-49))**(1/15) assuming g is positive. g**(196/15) Simplify (l*l**(-4/3))**(2/7) assuming l is positive. l**(-2/21) Simplify j**(-3/2)/(j/(((j**(3/2)/j)/j)/j))*(j*(j/j**(-2/23))/j*j)/(j/j**(-1)) assuming j is positive. j**(-90/23) Simplify (y*y**8)/(y/(y/y**12)) assuming y is positive. y**(-3) Simplify ((s/((s*s**(-2))/s))/s**(2/3))/(s**(2/3)/s**(-3/8)) assuming s is positive. s**(31/24) Simplify (j/(j*j**(-8)/j))/j*j*(j**(3/2)*j)/j*j**(-10)/(j**(-4)*j) assuming j is positive. j**(7/2) Simplify (u**2)**(2/65)*((u*u/(u*u/(u/u**(2/15))*u*u*u*u)*u*u)/u)/u*u/u**1 assuming u is positive. u**(-599/195) Simplify v**(-25)/v**(1/6) assuming v is positive. v**(-151/6) Simplify ((q**(2/15))**(1/12))**(-21) assuming q is positive. q**(-7/30) Simplify (i**(1/29)/i*i*(i/i**(3/4))/i*i)**(-25) assuming i is positive. i**(-825/116) Simplify (n*n*n**(-3/5)*n**(-1/3)/n)/(n*n/(n/(n*n*n**(-1))))**(-49) assuming n is positive. n**(1471/15) Simplify ((t*t*t*t**(2/21))/t**(1/5))**(1/68) assuming t is positive. t**(76/1785) Simplify z/(z*z*z*z**(-17))*(z*((z/(z*z**18))/z)/z)/z assuming z is positive. z**(-5) Simplify (f/(f*f**(-25)))/f**(7/4) assuming f is positive. f**(93/4) Simplify l**(2/15)*l*l**(-18) assuming l is positive. l**(-253/15) Simplify f**24/(f/(f*f*f/(f*f**(-30)/f))) assuming f is positive. f**56 Simplify y**(-9)/y**(-6/13) assuming y is positive. y**(-111/13) Simplify (n/(n*(n*(n/n**21)/n)/n*n))/((n*n**(2/35))/n) assuming n is positive. n**(698/35) Simplify ((b/(b*b**(-1/3)*b))/(b**(-5/2)*b))**(2/13) assuming b is positive. b**(5/39) Simplify (z/z**(2/9))**(-2/19) assuming z is positive. z**(-14/171) Simplify u**(3/11)/(u*u/u**(-2/93)) assuming u is positive. u**(-1789/1023) Simplify d/(d/((d/(d/(d**(1/2)/d)))/d))*d**1*d**(-2)/(d**7*d) assuming d is positive. d**(-21/2) Simplify ((c*c**(3/4))**(2/3))**18 assuming c is positive. c**21 Simplify k*k**(-4)*k*k/(k*(k/(k**1/k)*k)/k*k)*(k/(k/(k*k**0)))**27 assuming k is positive. k**23 Simplify (g/((((g*g/(g*g*g*g/g**11*g))/g)/g)/g)*g)**(-37) assuming g is positive. g**111 Simplify (k**17*k)/((k/k**(-26))/k) assuming k is positive. k**(-8) Simplify (p**(-8)/p**(-1))**(2/9) assuming p is positive. p**(-14/9) Simplify (y**(1/3)/y*y)**(-46)/(y**5*y/(y*y/(y*y**(3/5)))) assuming y is positive. y**(-314/15) Simplify (m**9)**24 assuming m is positive. m**216 Simplify ((q/(q*q**5))/(q/(q/(q/q**(-1)*q))*q))**(20/7) assuming q is positive. q**(-180/7) Simplify (i**1*i**(-9)/i)**(10/11) assuming i is positive. i**(-90/11) Simplify (h**(1/3)*h)**(-41)*(h**5/h)/h**(-2) assuming h is positive. h**(-146/3) Simplify (x*x**17/x)/x**(-2/13) assuming x is positive. x**(223/13) Simplify ((b/b**(-1/4))**(9/4))**(-1/10) assuming b is positive. b**(-9/32) Simplify ((t*(t*t/t**(1/9))/t)/t*t*t**(1/8))/((t**(-2/3)*t)/t*t*t/(t*(t*t**(3/5)*t)/t)) assuming t is positive. t**(1181/360) Simplify a**(12/5)*a*a**(1/46) assuming a is positive. a**(787/230) Simplify (c*c/c**(-14))**4 assuming c is positive. c**64 Simplify (v*v/(v/(v*v**0))*v**(-4/7)*v)/(v**0*v**(3/5)) assuming v is positive. v**(64/35) Simplify ((m**(-3)/m)/(m*m*m*m**(1/4)*m))**(-1/5) assuming m is positive. m**(33/20) Simplify (c*c*c**21*c*c)/(c*c/(c/(c**(1/18)*c*c))) assuming c is positive. c**(395/18) Simplify ((k**(-3/4)/k*k)/(k**(-1/4)/k*k*k))**(-2/59) assuming k is positive. k**(3/59) Simplify (s**4/s**(-1/2))**(2/9) assuming s is positive. s Simplify (l*(l/(l*l*l/l**(-2)))/l)/l**(-3)*(l**(-1/2))**(-47) assuming l is positive. l**(45/2) Simplify u*u/(u**18/u)*u**(-2/13)/u assuming u is positive. u**(-210/13) Simplify v**(8/13)/(v/v**(-16)) assuming v is positive. v**(-213/13) Simplify (v**(7/4)*v*v**(-1/3)*v)/(v**(-3/11)/(v*(v/(v*v**(2/39)/v))/v)) assuming v is positive. v**(2653/572) Simplify (i**(-1/3))**(-46)/(i/i**(3/4)*i/i**4) assuming i is positive. i**(217/12) Simplify ((z*z**2)/z*z)**8 assuming z is positive. z**24 Simplify ((d*d*d**0)/d)**(-26)/(d/d**(-2)*d*d**(4/9)) assuming d is positive. d**(-274/9) Simplify (i/(i/(i*i**(-23)*i)*i))/i*i*i/i**11 assuming i is positive. i**(-32) Simplify f*f/f**(-2/13)*f/f**(-2/5)*f/(f*f**(-2/7)/f)*f/f**(-3/2) assuming f is positive. f**(6679/910) Simplify (d**(-3/10)/d)/(d/(d/(d/d**(2/13)))) assuming d is positive. d**(-279/130) Simplify (p/((p/(p**(-5/2)/p))/p))/((p**(-8)/p)/p) assuming p is positive. p**(15/2) Simplify (((s**(2/9)/s)/s)/(s/s**(2/9)))/(s/(s*s*((s*(s**(-1)/s*s)/s)/s)/s*s)*s*(s**0/s)/s) assuming s is positive. s**(-23/9) Simplify (z**(2/17))**(-4) assuming z is positive. z**(-8/17) Simplify (c*c/(c*c*(c*c**(1/4)/c)/
{ "pile_set_name": "DM Mathematics" }
er. 1, u, n Suppose 15 = 4*g + 3. Suppose -4*m + 3 = -g*m. Suppose -5*q - 1 = -4*p, 0 = q - 5*q + 4*p. Put 4, q, m in ascending order. q, m, 4 Let x = 69 - 64. Let i be 6 - 2 - 2/(-1). Suppose -3*b = -0*b - i. Sort x, b, -5. -5, b, x Let z(y) be the first derivative of -y**2 - 6*y + 1. Let r be z(-5). Put 2/3, 0.5, r in decreasing order. r, 2/3, 0.5 Let r = 0.3 - 4.3. Let v = 12 + -11. Let q = -2 - v. Sort r, q, -4/7. r, q, -4/7 Let m = -0.94 - -0.37. Let i = -0.07 - m. Put 2, i, -0.2 in ascending order. -0.2, i, 2 Let v be (-2)/(-4) + (-18)/(-4). Suppose 5*t - t + 2*b = 0, -4*t + 5*b = 0. Suppose -5*n + n + 8 = t. Sort n, 3, v in descending order. v, 3, n Let a be (2 + -3)/(7/(-2)). Put -1/3, a, -5, -0.3 in decreasing order. a, -0.3, -1/3, -5 Let s = 0.002 + -0.002. Sort s, -1/7, -1/6, -0.1 in decreasing order. s, -0.1, -1/7, -1/6 Suppose 6*d = 3*d - 831. Let t = 1667/6 + d. Put 1/7, 1/3, t in decreasing order. t, 1/3, 1/7 Let t = -25 + 23. Sort 0.5, t, 4 in increasing order. t, 0.5, 4 Suppose 8*p + 10 = 6*p. Put -2, p, -1 in ascending order. p, -2, -1 Let p be (2/4)/1*-12. Let g be (-2)/p*3 + 4. Let i = 0.1 - -2.9. Sort 0, g, i in decreasing order. g, i, 0 Let n = 5 + -10. Let b = 78 + -78.2. Sort 0.3, b, n. n, b, 0.3 Let n = -11 - -10.99. Put -2, 10, n in decreasing order. 10, n, -2 Let h = 63 + -75.5. Let f = 13 + h. Put -5, 3/5, f in descending order. 3/5, f, -5 Suppose 8 = r + 3*r. Suppose -3*v - r = t + 9, -t = 4*v + 15. Suppose -4*a + g - 13 = -0*g, -4*a - 2*g + 2 = 0. Put t, a, 5 in decreasing order. 5, t, a Let v be 28/(-36) + (-2)/9. Put 0.5, v, -0.4 in ascending order. v, -0.4, 0.5 Let d = -6 - -44/7. Suppose 3*c + 2 = -4*a + 11, -4 = 4*c. Suppose 0 = 2*f + 10, 2*g = a*f + 25. Sort d, g, -0.2 in increasing order. -0.2, d, g Suppose 0*f + 5*f + 15 = 0. Put f, -6, -2, 1 in decreasing order. 1, -2, f, -6 Suppose 3*q = q + 10. Suppose -2*y - l - 1 = 0, 4*l - 3*l - 13 = q*y. Put -4, 1, y in increasing order. -4, y, 1 Let b = -2.9 + 1.9. Sort -3/5, -0.5, b in descending order. -0.5, -3/5, b Suppose -v + 6*v = -135. Let u be ((-6)/9)/(6/v). Put -0.5, 1/2, u in decreasing order. u, 1/2, -0.5 Let s = -5.6 - -8. Let b = 1.7 - s. Let o = 0.3 + b. Sort o, 3, 1/4 in descending order. 3, 1/4, o Let h be -98*((-8294)/180 + 3). Let k = 4221 - h. Let i = 2/9 + k. Put i, -3, 0 in decreasing order. 0, i, -3 Let f be (-3)/2 - 4/8. Suppose -m + 4*m = 0. Let u be (6/3 - m)/f. Sort u, 2, -4. -4, u, 2 Let n = 0.06 - -3.94. Let w = 4.4 + -4.9. Put n, 3, w in descending order. n, 3, w Let v = -1.1 + 1. Suppose 4*o + 2 = -18. Sort o, -1/3, v in decreasing order. v, -1/3, o Suppose 3*d - 8*d + 16 = 2*p, -4*p = -4*d + 24. Let j(q) = q**3 - 3*q**2 - 3*q. Let w be j(d). Let t be (-2)/(-4) + 5/(-2). Put 5, t, w in increasing order. t, w, 5 Suppose -2*w = -7*w + 20. Let x be w/4*(-1 - 0). Suppose -4*t + t + 15 = 0. Sort -3, t, x in increasing order. -3, x, t Let b = -4 + 0. Let s = -40 - -43. Put -5, s, b in decreasing order. s, b, -5 Let r = 1 + 4. Let x = -0.1 + 0. Sort x, r, -3/2 in descending order. r, x, -3/2 Let i = 14 - 8. Sort -5, -0.4, i. -5, -0.4, i Let r = 526/7 - 75. Let j = -1 + 9. Let s = 10 - j. Put -1, s, r in ascending order. -1, r, s Let w be (1 - 1 - 2) + -1. Let i = 0 + 5. Suppose 6*c - 2*c + 4 = 0. Put c, w, i in descending order. i, c, w Let a = 106 - 153. Put a, -1, -5 in decreasing order. -1, -5, a Suppose -3*i = -7 - 8. Put 3, i, 9 in increasing order. 3, i, 9 Let z = 9.88 + -10. Let v = -3.12 - z. Put 0.5, v, -0.5 in ascending order. v, -0.5, 0.5 Let i(g) be the first derivative of g**4/4 + 7*g**3/3 + 5*g**2/2 - 6*g - 5. Let n be i(-6). Sort -4, n, 2. -4, n, 2 Let j(p) = -p**2 + 8*p - 5. Suppose 0 = g - 7. Let u be j(g). Let s = 3 - u. Put 3, s, 2/3 in descending order. 3, s, 2/3 Let x be ((-4)/30)/(4/12). Sort x, -1, -3 in ascending order. -3, -1, x Suppose 3*j - 20 = -j. Let h = 98 - 102. Sort h, -2, j. h, -2, j Let s = -134 + 134.07. Sort -1, s, -3/8, -1/4 in decreasing order. s, -1/4, -3/8, -1 Suppose 4*r = 2*o - 3*o + 17, -5*o - 2*r + 13 = 0. Suppose 0 = -5*b - 2*t + 28, 0 = -b + 2*t - 3 - o. Let m = 11.2 + -11. Put b, m, -0.2 in descending order. b, m, -0.2 Suppose m + 5*n = 4*m - 24, n = -4*m + 9. Let y = m + -1. Let b = 3 - y. Sort -5, b, -3 in decreasing order. b, -3, -5 Let t = 1 - 1.42. Let j = t + 0.02. Let w = 3.95 - 0.95. Sort -0.3, w, j in descending order. w, -0.3, j Let v(y) = 2*y - 2. Let l be v(0). Sort -6, 4, l in ascending order. -6, l, 4 Let d = -0.01 + 2.01. Let m = -4.8 + 0.8. Let x = m + d. Sort x, 4/3, -0.2. x, -0.2, 4/3 Let f(x) = -x**2 - 9*x - 8. Let c be f(-8). Let v be 2 - 2/(c - -2). Sort v, -5, 3 in decreasing order. 3, v, -5 Let s(d) be the third derivative of d**6/120 + d**5/15 - d**4/6 + d**3 - 4*d**2. Let o be s(-5). Sort o, -5, -2 in ascending order. -5, -2, o Suppose -2*r - 3 = 3. Let z(l) = 3*l - 1. Let j be z(-1). Sort r, -5, j in descending order. r, j, -5 Let f be (-21)/56*(-20)/6. Put f, 2, -2/5 in descending order. 2, f, -2/5 Let s = 15 + -19. Put -5, s, 5 in descending order. 5, s, -5 Suppose i - 2*i + 25 = 0. Suppose -i = -t + 6*t. Let p be (-10)/(-2) - (-2 - -2). Sort p, t, 0 in descending order. p, 0, t Let j be ((-8)/6)/(3/(-9)). Let m = 259 - 4405/17. Sort 2, m, j. m, 2, j Let y(f) = -f**3 + 13*f**2 + 2*f - 28. Let t be y(13). Sort t, 2, -11 in increasing order. -11, t, 2 Let x = -21 - -21.3. Let u be 2/4 + (-3)/18. Sort 3, x, u in decreasing order. 3, u, x Suppose 3*c + 117 = 6*c. Suppose 5*a - 3*d = -c, -2*d = 5*a - d + 27. Let m = a + 7. Put 5, 0, m in descending order. 5, m, 0 Suppose -4*l - 4*j = -28, 2*j - j = 2*l - 5. Let d(p) = -p + 1. Let r be d(0). Put r, -1, l in ascending order. -1, r, l Let s(w) = 2*w + 3*w**2 + 5 - 2*w**2 - 5. Let d be s(-2). Sort -5, 5, d in ascending order. -5, d, 5 Suppose 2*n - q - 5 = -0*q, 3*n + 4*q = 35. Let x = -4 + 3. Let y be 1/(x*(-2)/6). Put y, n, -2 in descending order. n, y, -2 Suppose u = 4*u - 12. Suppose -3*r + 13 = 2*x, 6*r - 3*r = u*x + 1. Let b be r/(-20) - (-2)/(-8). Sort 2, -3, b in descending order. 2, b, -3 Let z = -2.98 - 0.02. Let k(f) = f**2 + 8*f + 3. Let g be k(-7). Sort g, 0.04, z. g, z, 0.04 Suppose 10*t = 14*t. Let s be -1*(-1)/(1/2). Put -2, t, s in increasing order. -2, t, s Let h = -20 + 20. Suppose -2*f + 8 = -0*f. Sort -4, h, f in decreasing order. f, h, -4 Let k = -28 + 53/2. Put -1/8, k, 2.2 in decreasing order. 2.2, -1/8, k Let a be 0/(-12) + 8/2. Put -6, a, 1 in descending order. a, 1, -6 Suppose i - 3*h = -8*h - 10, -2*i - 2*h = 12. Let c = 4 - 4. Put i, -2, c in descending order. c, -2, i Let j = 0.1 + 4.9. Let m = -18 + 8. Let z be (9/(-30))/((-12)/m). Sort -4, j, z in decreasing order. j, z, -4 Let z = 0 + -3. Let n = -4 - -9. Let c = n - 3. Sort 0.2, c, z in decreasing order. c, 0.2, z Let v = 30 + -26. Suppose 8*u = v*u + 4. Put u, -2, 4 in descending order. 4, u, -2 Let u be 18/10 + 2/10. Suppose -5*k - 2*c = -20, 2*k + u*c = -0*c + 14. Sort k, -5, 3 in descending order. 3, k, -5 Suppose 4*i - 2*n = -i - 15, -3*i - 9 = 5*n. Sort 5, -4, i in increasing order. -4, i, 5 Let b = 0 + 0.2. Let h = -26 - -25. Sort h, -2/3, b. h, -2/3, b Let k = -4 - -3. Let r = 3 - 0. Suppose -m + 5 = -l, 4*l = -4*m - 7 - 5. Sort m, r, k in decreasing order. r, m, k Let n be ((-9)/12)/(3/10). Let i be (0 + 1/(-18))*2. Sort n, 2, i in decreasing order. 2, i, n Let g be (-2)/(-8) + 5/(-12). Put g, 5, 0.4 in descending order. 5, 0.4, g Let j be 14/4 - (-1)/(-2). Let i(l) = l**3 + 5*l**2 - 2*l - 6. Let d be i(-5). Suppose j*w = 5*m + 22, d*w + 4*m + 0*m = 8. Sort 0, w, 1. 0, 1, w Let n(x) = 4*x - 1. Let c be n(1). Suppose 0 = -c*i + 12, -4*i = 5*g - 7 - 4. Put -2, g, -5 in descending order. g, -2, -5 Suppose -9 = -2*a - 1. Suppose -a = -5*k + 11. Suppose 3*l + 0*j + 12 = -5*j, 0 = k*l + j. Sort -5, 2, l in decreasing order. 2, l, -5 Let o be -2 - (6/2 - 0). Let k(w) = -w**2 - 6*w. Let j be k(-6). Sort j, o, 5. o, j, 5 Let a = -27 - -31. Sort 2, 1, a in ascending order. 1, 2, a Let a be (11/110)/((-8)/(-10)). Let x be (1*(-2)/(-3))/1. Put a, -5, x in decreasing order. x, a, -5 Let x be (-3)/(-2)*(-32)/(-12). Let j(b) = 5*b - 22. Let p be j(4). Put x, p, 3 in increasing order. p, 3, x Suppose 2*h + 1 = -4*g + 17, -3*g + 13 = h. Sort -2/
{ "pile_set_name": "DM Mathematics" }
. Let r be a(-5). What is the greatest common divisor of r and 45? 45 Let r(n) = -n**3 - 26*n**2 - 77*n + 3. Suppose 0 = 5*l - 4*j + 115, 7*j - 5*j = -5*l - 115. Let d be r(l). What is the highest common factor of 17 and d? 17 Let p = -100 - -194. Let f = 95 - p. Calculate the greatest common divisor of f and 10. 1 Let a = 4250 + -932. Suppose -233*z + a = -230*z. What is the highest common divisor of z and 14? 14 Suppose -78*y = -69*y + 477. Let r = -45 - y. What is the greatest common factor of r and 16? 8 Suppose -3*h - 185 = -2*u, -95 = 8*u - 9*u + h. Suppose u - 2956 = -7*m. Calculate the greatest common divisor of m and 34. 34 Let l be ((-119)/(-3) + -1)*(6 + (-138)/(-4)). Calculate the greatest common factor of 58 and l. 58 Let o = 118 + -88. Let t be (o/5)/(-3)*(-74)/4. Suppose 0 = 3*f - 15, 3*a = 4*f - t + 206. What is the greatest common factor of 9 and a? 9 Suppose 5547*r + 306 = 5548*r. What is the greatest common factor of 198 and r? 18 Let k(i) = -6*i - 7. Let w be k(-4). Let d = w + -18. Let y be 2 + d*8*-1. What is the highest common factor of 2 and y? 2 Suppose -3*m - 3 = -0*m. Let n be (3 - (-2)/m)*7. Suppose -5*l = 25, 61*x = 56*x - 5*l + 45. Calculate the highest common divisor of x and n. 7 Let i = 25 - -29. Let m(z) = -401*z + 4037. Let a be m(10). Calculate the highest common divisor of i and a. 27 Suppose -2*t - 10*w + 35 = -11*w, 2*w + 6 = 0. Let b be 298623/248 - 2/t. What is the greatest common factor of b and 28? 28 Suppose -3*y + 3 = 5*p - 10, 0 = -4*p - 4*y + 12. Suppose -h - c + 189 = 0, -917 = -p*h - 3*h + 2*c. Calculate the greatest common divisor of h and 37. 37 Let m(r) = -r**2 - 2*r + 233. Let j be m(13). Calculate the highest common divisor of j and 817. 19 Let g(s) = 98*s + 4. Let d be g(6). Suppose -3*t = 2*l - 110, -560*t = -3*l - 561*t + 123. What is the greatest common divisor of d and l? 37 Let o(j) = 9*j**3 - 50*j**2 + 15*j + 2. Let f be o(8). Suppose -348*k + 338*k + f = 0. What is the highest common divisor of 9 and k? 9 Suppose -18*b = -20339 - 22807. Calculate the highest common factor of b and 51. 51 Let n be (4 + -12 + 3)/(-1 - 0). Let o = 45 + -13. Let s be (o/(-6))/(2/(-15)). Calculate the greatest common factor of n and s. 5 Let a(w) = -15*w + 45. Let y be a(3). Suppose y = -2*q - 3*s + 56 + 224, 2*s = 2*q - 290. What is the greatest common factor of 13 and q? 13 Let q = 16109 - 15851. Calculate the greatest common factor of 8 and q. 2 Let t(a) = 50*a - 28. Let r be t(-3). Let y = r - -518. What is the greatest common factor of 136 and y? 68 Let v(y) = -368*y - 4759. Let r be v(-13). Suppose 0 = 2*x + 4, 3*x - 74 = 3*b - 5*b. Calculate the highest common divisor of r and b. 5 Suppose 4*r + 215 = -3*s, 10*s = 5*s - 5*r - 365. Let w be 0 + -2 + 3 - -3 - s. Let o = -115 + 169. Calculate the highest common factor of o and w. 27 Suppose -8*h + h = -21. Suppose 0 = -h*g + 38 + 16. Let b be -1*(4 - (39 - -1)). Calculate the highest common factor of g and b. 18 Let r be 3086644/506 - 10/115 - 3*-1. What is the highest common factor of r and 17? 17 Suppose 4*c = 5*g + 30, 0 = 4*g + 5*c - 21 + 4. Let z be (-16 - -18)*(-1)/g*13. Calculate the greatest common factor of 377 and z. 13 Suppose 5*a - 1633 = -5*h - 4508, 2*a - 2318 = 4*h. Let t be h/8 - 14/(-56). Let v = 86 + t. Calculate the highest common factor of v and 2. 2 Let a(v) = 29*v**3 - 5*v**2 + 3*v + 1. Let n be a(3). Let m = n + -415. Let z = m - 223. What is the greatest common divisor of z and 20? 10 Suppose -3*h = 110 - 98. Let b be -1 - 4/(-16) - 27/h. Let v(f) = f. Let q be v(6). Calculate the greatest common divisor of b and q. 6 Suppose -2*g - 3*c + 435 = 0, -g + 2*c = 7*c - 207. What is the greatest common factor of g and 18? 6 Suppose 7*u - 295 = 12*u. Let t = u + 66. Let f = -58 + 86. Calculate the greatest common divisor of t and f. 7 Suppose 3 = 3*k - 183. Let m = k - -34. Suppose -24*a = -22*a - 4*j - 32, -2*j = 4. Calculate the greatest common divisor of a and m. 12 Suppose 0 = -6579*d + 6592*d - 2080. What is the highest common factor of 680 and d? 40 Suppose 24*l = -6*l - 71108 + 195548. What is the greatest common divisor of 272 and l? 68 Let l(y) = y**2 + y. Let m(j) = -17*j**2 - 8. Let f(a) = 4*l(a) - m(a). Let n be f(3). Calculate the greatest common divisor of n and 19. 19 Let o = 11966 + -11956. Calculate the greatest common factor of o and 25. 5 Let b(z) = 3*z**3 + 5*z**2 - 2*z. Let y be 4*1 + (-3 - -2). Let t be b(y). Let d be (-600)/10*(-3 + 44/20). Calculate the greatest common factor of t and d. 24 Let p = -175 - -170. Let w be ((8 + 88)/8)/((-2)/p). Calculate the greatest common divisor of 160 and w. 10 Let d = 15 - 1. Suppose 512*t + 2128 = 531*t. Calculate the highest common divisor of t and d. 14 Let n be (-8)/12 - 748/(-6). Let h = 6 + -7. Let t be (-14)/28 + 122/4 - h. Calculate the greatest common factor of t and n. 31 Let z(a) = -a**2 - 3*a + 98. Let v be z(8). Calculate the highest common factor of v and 5500. 10 Let p(i) = -i**2 + 40*i + 784. Let h be p(-14). Suppose -3*s + 63 = 3*c, s = 4*c - 0*s - 79. Let b = 90 - c. Calculate the greatest common divisor of b and h. 14 Suppose 0 = -0*u + 3*u + 5*c - 78, -4*c = -3*u + 78. What is the greatest common divisor of 5993 and u? 13 Let t be 50/(-4)*(0 + 12/(-15)). Suppose 0 = -9*y + 8 + t. Let s = -45 - -50. Calculate the highest common factor of s and y. 1 Let u(g) = -7*g + 26. Let j be u(-2). Let z = -57 + 62. Calculate the greatest common divisor of z and j. 5 Let f = -2876 + 2918. Calculate the greatest common factor of 3801 and f. 21 Suppose 0 = 4*y + 2*q - 32046, -4*y + 50205 = -2*q + 18171. What is the highest common factor of 60 and y? 30 Let s = -402 - -366. Let g = s + 619. Calculate the highest common divisor of g and 11. 11 Let c = 1608 - 1596. Calculate the highest common divisor of 4044 and c. 12 Suppose -2*u = -75 + 9. Suppose u + 75 = 9*q. Calculate the highest common divisor of q and 60. 12 Let d be (3920/(-420))/(8/(-738)). Calculate the greatest common divisor of d and 147. 21 Suppose -3*m = 2*m + 2210. Let d = -405 - m. What is the highest common factor of d and 259? 37 Suppose -20*f + 1710 + 3152 = -9*f. Calculate the highest common factor of 9061 and f. 221 Let n(u) = -8*u + 64. Let k be n(10). Let c be (-54)/(-4) + 8/k. Let i = 53 - 14. Calculate the greatest common factor of c and i. 13 Suppose 0 = 7*m + 35, -49*u + 48*u + 215 = -5*m. What is the highest common divisor of 304 and u? 38 Suppose -1058418 = 622*j - 3557614. What is the highest common divisor of j and 82? 82 Let d(j) = 3*j**3 - 11*j**2 + 21*j - 13. Let z be d(5). Calculate the highest common divisor of z and 8000. 64 Let j = 57 - 27. Let l = 33 - j. Suppose -2*k = 4*n - 14, -3*k + 27 = 7*n - l*n. Calculate the highest common factor of 117 and k. 13 Let g = -358 - -362. Let t(r) = -r**3 + 8*r**2 - 10*r + 39. Let y be t(g). Calculate the greatest common divisor of y and 21. 21 Let w be 1 - (2 - 15) - -148. What is the highest common factor of 78 and w? 6 Suppose 3*j - 555 = -2*j - 4*q, -5*j = -5*q - 510. Suppose j + 21 = 4*a. Let l = a - -28. What is the greatest common factor of l and 15? 15 Let z be (-8)/3*3 + 63. Calculate the greatest common divisor of z and 1705. 55 Suppose 3*r - 80868 = 4*b, 4*r + 264*b - 266*b = 107834. What is the highest common factor of 10 and r? 10 Suppose -4*a + j = -300, -2*a - j - 3*j + 150 = 0. Let c = -1672 - -1722. What is the highest common divisor of c and a? 25 Let s(f) = f**3 + 9*f**2 - f + 21. Let q be s(3). Let d = -32 - -46. Calculate the highest common factor of d and q. 14 Let c(w) = 3*w**2 + 14*w - 40. Let d be c(3). Suppose -21*l = -d*l + 8480. Calculate the greatest common divisor of l and 53. 53 Suppose 4*n = 3*x + 3504, -41*x + 1724 = 2*n - 46*x. Calculate the greatest common factor of n and 105. 21 Let m be 4788/36 - ((-8)/(-2) - 9). What is the greatest common factor of 92 and m? 46 Let j(m) = m**3 + 12*m**2 + 13*m + 34. Suppose 35 = -4*h - 4*d - 13, -38 = 3*h + 5*d. Let w be j(h). What is the greatest common divisor of w and 8? 4 Suppose 0 = -4*g + g + 5*q + 147, 0 = -2*g - 4*q + 98. Suppose -17 + g = s. Let l be (-2990)/(-390) - 2/(-6). Calculate the highest common divisor of l and s. 8 Let j(c) = 77*c - 5303. Let h be j(85
{ "pile_set_name": "DM Mathematics" }
x = 42.406 + -42.206. Which is the nearest to f? (a) x (b) 0.1 (c) 5 (d) -0.4 b Let h be 13/(-10) - (-450)/1500. Suppose 24 = -5*f + 29. Which is the nearest to 16? (a) h (b) -4 (c) -3 (d) f d Let d = 0 - 0.01. Suppose 0 = 182*x - 186*x + 164. Suppose x + 81 = 61*t. What is the closest to t in -5/4, d, -0.4? d Let r(i) = i**3 + i**2 - 1. Let x be r(-1). Let s = -490 + 489.703. Let o = 0.097 + s. Which is the closest to x? (a) o (b) 1/10 (c) 0.4 a Suppose 4*a + 5*w + 0*w = 35, -3*w = 2*a - 19. Let u = -0.3305 - -0.3305. What is the nearest to u in 1/4, 14, a? 1/4 Let a = 8.11575 - 0.11575. What is the closest to -1/3 in a, -2/7, 2, 5? -2/7 Let i = -24.189 - -23.989. What is the closest to i in -0.3, -2/7, 303, 2/7? -2/7 Let i = 5431.2 + -5431. What is the nearest to 0.01 in -1/8, i, -3? -1/8 Let p be ((-5)/((-105)/6))/(-1). Let k = -67.1 - -67. Let f = 0.074 + -0.174. What is the nearest to k in f, 2/7, p? f Let u be (-3106)/5824 + (69/21 - 3). Let m = 3/32 + u. What is the nearest to m in 1, -4, 0.4? 0.4 Let h(n) = 151*n + 1661. Let d be h(-11). Let w = 19.91 - 20. Which is the nearest to 0? (a) w (b) d (c) 0.5 b Let k be ((-7)/49)/(3/(-7)). Suppose 5*o + 5*m = -5, m = -4*o + 1 - 2. Let j(t) = t + 3. Let y be j(-4). What is the closest to o in 0, y, k? 0 Let u = 131/5 + -26. Let k = 0.379242 - 0.079242. What is the nearest to -3 in u, 0, k? 0 Let t = -705/8 - -88. Let u = -2.4 - -4.4. Let g = -477.8 - -478. What is the nearest to 0 in g, u, t? t Let u = -337/5 - -6433/95. Which is the closest to 15? (a) -1/3 (b) -5 (c) u (d) 0 c Suppose -14*w - 5 - 9 = 0. Let d = 1.114 - 1.13. Let h = 0.116 + d. Which is the closest to w? (a) h (b) -85 (c) 0.2 a Let o be -8 + ((-5)/4 - 7980/(-880)). Which is the nearest to o? (a) 3/4 (b) 0.4 (c) -0.8 b Let h be 6/(-14)*(-735)/126. What is the closest to 1 in 21, -2.7, h? h Let x = 553 + -491.5. Let g = x + -61.6. Let d = -7 + 8. Which is the closest to d? (a) 0.5 (b) g (c) -7 a Let n = 3 + -3. Let j = 25.406 - 26.906. What is the closest to 1 in n, j, 5, 2/9? 2/9 Let x = 36 + -36. Let y = -39 + 275/7. Let a(r) = 55*r + 499. Let v be a(-9). What is the nearest to 0 in y, v, x? x Suppose 0 = -5*r - 813 + 248. Let c = r + 677/6. What is the nearest to 2/9 in c, -3/2, -0.3? c Let j = 5537 - 5538. Let t be ((-4)/6)/((-52)/60 + 1). What is the closest to j in t, 3/2, -24.9? 3/2 Let t = -2675/11 + 243. Let r = -923 + 1299. Let i = r + -371. Which is the nearest to -1/3? (a) t (b) i (c) -1 a Let k = -2542 + 2542.2. What is the closest to k in 4, 5, -0.5, -58? -0.5 Let u = 0.9 - 0.4. Let i = u - 1.5. Let w = -11026.4 - -11022.4. Which is the closest to 0? (a) w (b) i (c) -3/4 c Let t be 3/(-5)*(-8)/(-60)*10. Let h = -3/10 - t. Let y = 8.6 + -8.7. What is the closest to y in -11, h, 0.1? 0.1 Let v be (-24)/28 + 16/12*858/(-364). Which is the closest to -10? (a) v (b) -2/9 (c) -1/2 a Let z = -983/285 + 47/15. Let k = z + 116/247. What is the closest to 1 in k, -4, 0.4? 0.4 Let y(o) = -o**2 + 7*o + 10. Let u be y(8). Let z = 1903/189 - 268/27. Which is the closest to -2/3? (a) u (b) z (c) 1/5 b Let n = 2536/21 - 10165/84. What is the nearest to 10 in 6, 0, n, -2/45? 6 Let m = 1468 + -1483. Let k = 0.4 + -0.46. Let j = -0.56 - k. Which is the nearest to -1? (a) j (b) 4 (c) m a Let k be 2730/(-1092) + ((-1)/(-36))/((-5)/(-410)). Which is the nearest to -1? (a) -0.02 (b) k (c) 4 (d) 4.14 b Let s = 0.23111 - 9.23111. Which is the closest to -0.2? (a) 6/13 (b) 1/2 (c) s (d) -3 a Let n be 2 + (78/14)/(-3). Let o be 3/(-11)*9878/(-3592). Which is the nearest to n? (a) 5 (b) o (c) 1/2 c Suppose 4*s = 3*s + 5. Suppose -s*r + 4*r - 4 = 0. Suppose 3 = 5*q - 5*w - 2, -3*q + 11 = -5*w. Which is the nearest to 0.1? (a) q (b) -2/9 (c) r b Let b(q) = -2*q + 7. Let w be b(3). Let t = -174.16 + -47.74. Let n = -222 - t. What is the closest to n in -2, -13, w? w Let z = 7907.2 - 7907. What is the closest to -4.5 in -0.1, z, 2/77? -0.1 Let r(j) = -2*j - 2. Let s be (24/20)/((-6)/(-20)). Suppose 8*y = s*y. Let p be r(y). What is the closest to p in 0, 1/4, -0.5? -0.5 Let s = -9354 + 9354.048. Which is the nearest to s? (a) 5 (b) -3 (c) 0.2 c Let f be ((-108)/(-144))/(0 - (-25)/(-4)). What is the nearest to 0 in 2, f, 0.1, -3/4? 0.1 Let f = 32.45 + -29.05. What is the closest to f in 5, 5/3, -2/5, 2/9? 5 Let m = 80 - 7. Let u = -73.1 + m. Let t = -214 - -1928/9. Which is the closest to u? (a) -0.2 (b) t (c) 3/5 a Let l be 3 - 336/117 - (-10)/(-845)*39. Let f = 0.3 - 0.4. What is the closest to 3/5 in 0.4, l, f? 0.4 Let q be 21/(-378) + (7/189)/(2/(-6)). Let f = 1 + -2. Which is the nearest to -0.7? (a) q (b) f (c) 1 b Let d = 0.5046 + 3.4954. What is the nearest to 0.1 in 5/2, d, 17.3, 0? 0 Let v(f) = -14*f + 114. Let r be v(8). Suppose 9*x - 2 + 11 = 0. Which is the closest to x? (a) -0.5 (b) r (c) -0.1 a Let j = 0.3631 + -0.7631. What is the nearest to -5 in 0.4, -0.073, j, 1? j Let y = 4.06 + -6.06. Which is the closest to 4/5? (a) -5 (b) 2/3 (c) y (d) 1/2 b Let s = -4485.5 + 4484.4. Which is the nearest to s? (a) -2/929 (b) 0.1 (c) 5 a Let h be 7/(-9)*8*27/(-252). What is the closest to 2 in -4, h, -6, -5? h Let z be ((-80)/(-360) + 40/(-18))/(-1). Which is the closest to -0.53? (a) z (b) -2/7 (c) -0.5 c Let o(m) = -53*m + 105. Let v be o(2). What is the closest to v in 2, 4, -12? 2 Suppose 4*q + 2*q = -24. Let c = 11 + -57/5. Let o = 40.55 - 40.15. What is the closest to c in q, -0.32, o? -0.32 Suppose 0 = -x - 220 + 221, -5*z = 2*x + 33. What is the closest to 0.1 in 0.2, 2/9, z? 0.2 Let g = -0.1 + -0.9. Let d = -2.2869 - -2.7869. Which is the nearest to 0? (a) g (b) d (c) 5/23 c Suppose -2*m = -5*j - 65, 2*j = -5*m + 9*m - 122. Let f be (-16)/7 + 1 - (-4 - -3). Let d = -0.1 - -0.2. Which is the closest to d? (a) 5 (b) f (c) m b Let z = 40588/13 + -3122. What is the closest to 0 in 2, -1, z, 5/2? z Suppose -15 = -3*i, 2*d = -i + 253 + 586. Let p = d - 1250/3. Which is the nearest to 1/52? (a) -0.2 (b) p (c) -5 a Let r = -0.3 + 0.7. Let p = -26 - -26. Let j = -4493.3 + 4493. Which is the nearest to p? (a) r (b) j (c) -3 b Suppose -5*g - 705 = -8*g. Suppose 5*a - g = 5*c - 70, 3*a - 123 = -3*c. Let v = -184/5 + a. What is the nearest to 3 in v, 3, 1/7? 3 Let r = 381 + -146. Let p = 235.3 - r. What is the closest to 1/2 in 0.5, -4, p? 0.5 Let h be (-1)/(2/(2 + 8)). Let t be ((-16)/(-24))/(-30*6/(-27)) + 0. Let r be 8/6*(-3)/6. Which is the nearest to r? (a) t (b) 0 (c) h b Let j = 2/9905 - 1189/1981. Which is the nearest to 0? (a) j (b) 24/5 (c) 2 (d) 3 a Let p = -117.8 + 123. Let z = -5.2 + p. Let t = -67 - -67.4. What is the closest to z in t, 0.2, 1/3? 0.2 Let z = -4.4 + 2.61. Let v = z - -1.79. Which is the closest to 1/3? (a) 14 (b) v (c) -2/3 b Let b = -38 - -34. Let i be 1932/(-168)*(-4)/(3 + -5). What is the closest to -1 in 0, i, b? 0 Let h be 9/(-14)*(7/(-63))/((-2)/(-12)). Which is the closest to 0.012? (a) h (b) -1/3 (c) 3/11 c Let p = -5108 - -5113. What is the nearest to -2/55 in -4, p, -72, 2/15? 2/15 Let z = 3.523 + -0.513. Let h = z - 2.01. What is the closest to -1.4 in h, -0.3, 2? -0.3 Let o = -0.3664 + -0.1336. Let q = -4 - -4.3. Let u be (-1)/(1 - 2*-1). What is the closest to q in -4/7, o, u? u Let z = 4.097 - 3.797. What is the nearest to -7.4 in z, -0.1, -2? -2 Let d = 3385.67 - 3386. What is the nearest to 0.1 in d, 4/9, -2/5? 4/9 Let i(v) = -v**3 - 7*v**2 + 16*v + 60. Let r be i(-8). Let g = -196.6 + 197. What is the nearest to -18 in r, g, -2/9? r Let k = 7393 + -7394. What is the nearest to 0.1 in -7, 7, k? k Let i = 445 - 395. Suppose i = 3*o - 53*o. Which is the nearest to 2/17? (a) 3 (b) 0.2 (c) o b Suppose 64*d + 31 = 65*d. Let o = 1.76 + -6.76. What is the closest to d in o, -1/11, 2/17, -2? 2/17 Let u = -5832 + 5833. What is the nearest to -26 in u, 1/2, -1/3? -1/3 Let t(o) = 3*o**2 + 31*o - 1978. Let p be t(21). Let x = -0.24 + 0.218. What is the nearest to -0.1 in p, x, -5/4? x Let j be (218 - -2)/4 - -4. Suppose -5*k = -j - 1. Which is the closest to 0.1? (a) k (b) 0 (c) -2/5 b Let w = -73.84 + 73.14. Which is the closest to 5? (a) -4 (b) -3 (c) w (d) -2 c Let r be ((-8)/13)/(5/3005). Le
{ "pile_set_name": "DM Mathematics" }
2*s**2 + 2*s Let c(t) = -4*t**3 - 3*t**2 - t. Let w(k) = k**3 + k. Calculate c(o) + 2*w(o). -2*o**3 - 3*o**2 + o Let h(l) = -l**3 - 242 + 241 + l + 2*l**3 + l**2. Let t(u) = -2*u**3 - 3*u**2 - 5*u + 4. Calculate 3*h(b) + t(b). b**3 - 2*b + 1 Let f(w) = 17*w + 1. Let c be f(1). Let y = c - 10. Let a(o) = o**2 + 3*o + 3. Let m(q) = -2*q**2 - 8*q - 8. Give y*a(j) + 3*m(j). 2*j**2 Let a(i) = -6*i**3 - 6*i**2 + 5. Let z(w) = 5*w**3 + 5*w**2 - 4. Suppose -n - 3 = -g - 2, -4*g = 3*n - 32. Give g*z(s) + 4*a(s). s**3 + s**2 Let m(w) = -2*w. Let n be -3 + (4/3)/((-2)/(-3)). Let b(k) be the first derivative of k**4/4 - k**2/2 - 2. Calculate n*m(q) + 2*b(q). 2*q**3 Let a(n) = -n**3 + n + 1. Let p = -20 - -26. Let l(h) = 3*h**3 - p*h + h - 6 + 2*h. Give -5*a(q) - l(q). 2*q**3 - 2*q + 1 Let o(m) = 2*m**2 - 8*m - 7. Let l(g) = 2*g**2 - 7*g - 6. What is 6*l(s) - 5*o(s)? 2*s**2 - 2*s - 1 Let z(f) = 1. Let t(a) = 2*a + 1. Suppose 0*l = 2*l - 2. Suppose 0*w = -5*k + 4*w - l, -4*k + 2*w = -4. Suppose 3 = -2*y - k. What is y*z(o) + t(o)? 2*o - 2 Let o be 15/(-2)*(-8)/(-6). Let z be (o/6)/((-2)/6). Let w(q) = -3*q**3 + 4*q**2 - 4. Let a(i) = 4*i**3 - 5*i**2 + 5. Calculate z*w(g) + 4*a(g). g**3 Let m(i) = -3*i + 11. Let k(q) = -q + 4. Suppose -20*o + 13*o = 77. Let z be 0/(1 - 2) - -4. Calculate o*k(h) + z*m(h). -h Let g(f) = -3*f + f**2 + 2 + 0*f**3 + f**3 + 3*f**2. Let w(n) be the first derivative of -n**4/2 - 7*n**3/3 + 5*n**2/2 - 3*n - 5. Determine -5*g(c) - 3*w(c). c**3 + c**2 - 1 Let o(q) = q + 1. Let x(a) = -5*a. Determine -o(t) - x(t). 4*t - 1 Let k(n) = 4*n - 3*n + 6 + 2*n - 14. Let s(u) = -u + 3. Determine -4*k(f) - 11*s(f). -f - 1 Let j(f) = -3*f**3 - 2*f**2 + 5*f. Let k(b) = 4*b**3 + 2*b**2 - 4*b. Determine -5*j(i) - 4*k(i). -i**3 + 2*i**2 - 9*i Let i(z) = -z + 11 + 8*z - 5. Let u(t) = -4*t - 3. Give -3*i(m) - 5*u(m). -m - 3 Let u(q) = 38*q**2 - 2*q - 4. Let w(r) = 57*r**2 - 3*r - 6. Determine -7*u(g) + 5*w(g). 19*g**2 - g - 2 Let r(p) = 2*p. Let f(g) = g - 4*g - 2*g - 5*g. Suppose 0*v + 5*v = -80. What is v*r(j) - 3*f(j)? -2*j Let c = 6 + -4. Let z(t) = 0 + 0 - 2*t**c + 5 - 6. Let b(j) = -4*j**2 - 2. What is 4*b(f) - 7*z(f)? -2*f**2 - 1 Let l(q) = q**2 - 1. Let f(t) = -4*t**3 + 4*t**2 - t - 5. What is -f(k) + 6*l(k)? 4*k**3 + 2*k**2 + k - 1 Let r(t) = -2*t**2 - 5*t - 2. Let z(d) = 2*d**2 + 5*d + 3. Give -3*r(i) - 2*z(i). 2*i**2 + 5*i Let q(k) = 9*k**2 + 5*k. Let f(h) = 4*h**2 + 3*h. Suppose -2*p - 2*p - 2*m = 2, p - m + 8 = 0. Determine p*q(z) + 5*f(z). -7*z**2 Let q = 28 - 26. Let w(h) be the third derivative of 1/3*h**3 + 0*h + 0 - 2*h**q + 1/24*h**4. Let v(f) = -f**3 - f**2 + 2*f + 3. Determine -2*v(c) + 3*w(c). 2*c**3 + 2*c**2 - c Let k(g) = -4*g**2 - 7*g + 9. Let i(d) = 2*d**2 + 4*d - 5. Suppose 2*p - 4*h - 18 = 0, 3*p - 5*h - 24 = -0*p. Suppose -5*m = -6*m + p. Give m*k(c) + 5*i(c). -2*c**2 - c + 2 Let y(g) = 8*g**2 - 9*g + 4. Let x(m) = m**2 - m. Calculate 18*x(b) - 2*y(b). 2*b**2 - 8 Let t(u) = -u**2 - 5*u + 3. Let j(q) = -q**3 - 5*q**2 - 7*q - 7. Let i be j(-4). Let p(a) = -a**2 - 3*a + 2. Determine i*p(b) - 3*t(b). -2*b**2 + 1 Let l(n) = -22*n**2 + 3*n + 3. Let b(c) = -22*c**2 + 2*c + 2. What is 3*b(r) - 2*l(r)? -22*r**2 Let f(a) = 2*a**2 + 7*a - 7. Let l = 26 - 13. Suppose -l - 17 = -5*n. Let u(x) = 2*x**2 + 8*x - 8. What is n*f(z) - 5*u(z)? 2*z**2 + 2*z - 2 Let l(d) = d - 8. Let z be l(6). Let h(g) be the second derivative of 23*g**5/20 - 5*g. Let b(w) = 2*w**3. Give z*h(f) + 22*b(f). -2*f**3 Let b(y) = -9*y. Let x(j) = -4*j. Let n(o) = -o + 24. Let a be n(11). What is a*x(t) - 6*b(t)? 2*t Let u(t) = 45*t**3 - 7*t**2 + 7*t + 7. Let c(o) = -22*o**3 + 4*o**2 - 4*o - 4. What is 7*c(j) + 4*u(j)? 26*j**3 Let c(s) = 1 + 1 - 2 + 1. Let p(i) = i**3 - 6*i**2 - 6*i - 5. Let q be p(7). Let f(g) = g - 4. Calculate q*c(o) + f(o). o - 2 Let i(h) = h**2 - 1. Let z(w) = -w**3 - 9*w**2 + 9. Determine 18*i(g) + 2*z(g). -2*g**3 Let l(n) = -2*n**2 - 6*n. Let a(f) be the second derivative of f**4/3 + 11*f**3/6 + 6*f. Give -6*a(i) - 11*l(i). -2*i**2 Let b(j) = -j - 1. Let y be -2 - (0 - (5 - 2)) - -2. Let g(q) = 2*q + 2. Calculate y*b(s) + g(s). -s - 1 Let c(z) = 2*z**3 + 4. Let t(f) = 3*f**3 + 5. Let u = 4 - 9. Give u*c(q) + 4*t(q). 2*q**3 Let q(m) = 31*m**2 + 4*m. Let g(l) = -342*l**2 - 45*l. Determine -4*g(o) - 45*q(o). -27*o**2 Let k(n) = 23*n**2 + 3*n + 3. Let u(g) = 46*g**2 + 5*g + 5. Give -5*k(x) + 3*u(x). 23*x**2 Let v(g) = -5*g**3 - 6*g**2 + 2. Let w = 27 + -13. Let x(y) = 5 - 13*y**2 - w*y**3 - y**2 + 1 - 3*y**2. Give -11*v(b) + 4*x(b). -b**3 - 2*b**2 + 2 Let m(i) = i**2. Let v(j) = 5*j**2 - j. Suppose -4*a - 10 = k - 3, -9 = -3*a + 4*k. Give a*v(p) + 4*m(p). -p**2 + p Let t(a) = 4*a - 2*a - 3*a. Let o(l) = 2*l**2 + 6*l. Determine -o(w) - 5*t(w). -2*w**2 - w Let l(w) = 4*w**3 + 3*w**2 - 3*w. Let i = 1 - -2. Let c(t) = -t**3 + 4*t**2 - t + 6*t**3 - 3*t. Suppose -4*s - 5*g = 31, 3*s + g = 5*g. Give i*c(u) + s*l(u). -u**3 Let d(o) = 5 + o + 6*o - 2*o - 5*o**2. Let v(i) = 11*i**2 - 11*i - 11. Let y = 12 + -8. Suppose c = 6*c + y*h + 15, 3*h - 6 = 2*c. What is c*v(a) - 7*d(a)? 2*a**2 - 2*a - 2 Let q(p) = -p. Let d(y) = -2. Suppose 0 = -4*j - 3*a + 5, 3*j + a = 1 + 4. What is j*q(z) - d(z)? -2*z + 2 Let h(j) be the second derivative of j**4/3 - j**3/2 - j**2 - 3*j. Let o(g) = -9*g**2 + 7*g + 5. What is -5*h(r) - 2*o(r)? -2*r**2 + r Let y(t) = -52*t**3 + 6*t**2 - 6. Let k(j) = 53*j**3 - 7*j**2 + 7. Determine 6*k(l) + 7*y(l). -46*l**3 Let j(o) = 13*o + 26. Let k(n) = -6*n - 13. Calculate 4*j(h) + 9*k(h). -2*h - 13 Let o(j) = j. Let d(b) = 69*b**2 + b. Give -d(s) + 3*o(s). -69*s**2 + 2*s Let k(l) = 50*l**3 - 20*l**2 - 20*l - 20. Let c(w) = -w**2 - w - 1. Determine -20*c(g) + k(g). 50*g**3 Let r(q) = 13*q**3 + 13*q - 11. Let l be (0 - 0) + -1 + -1. Let p be (-2)/l*(-14 - -3). Let z(o) = -2*o + 6 - 4*o - 7*o**3 - o. Determine p*z(c) - 6*r(c). -c**3 - c Let s(t) = -t**2 - 11*t + 3. Let w(n) = -n**2 - 12*n + 4. What is 6*s(a) - 5*w(a)? -a**2 - 6*a - 2 Let x(o) = -o**2 - o - 1. Let q(p) = -2*p**3 - 4*p**2 - 6*p - 22. Determine q(m) - 6*x(m). -2*m**3 + 2*m**2 - 16 Let k(o) = o - 1. Let z(i) = 3. Give -3*k(j) + 3*z(j). -3*j + 12 Let s(l) = -5*l + 8. Let h(z) = z - 2. Let a be (-24)/18*3/2. What is a*s(r) - 9*h(r)? r + 2 Let v(a) be the second derivative of a**3/6 - 2*a**2 + 21*a - 1. Let s(y) = -2*y + 9. What is 4*s(w) + 9*v(w)? w Let f(b) = -5*b**2 + 5*b - 5. Let c = -8 - -3. Let i(h) = -5*h**2 + 6*h - 6. What is c*i(z) + 6*f(z)? -5*z**2 Let k(j) = 3*j + 2. Let l(s) = -32*s - 28. Let i(a) = -225*a - 195. Let m(y) = 3*i(y) - 20*l(y). What is -25*k(t) - 2*m(t)? -5*t Let z(m) = m**2 - m. Let j(a) = -a**2 - 1. Let v(n) = 4*n**2 - 2*n + 3. Let c(p) = 3*j(p) + v(p). Calculate 2*c(w) - 4*z(w). -2*w**2 Let y(r) be the second derivative of -9*r**5/20 + 5*r**4/12 + 5*r**3/6 + 9*r**2/2 - 8*r. Let d(n) = 14*n**3 - 8*n**2 - 8*n - 14. What is 5*d(x) + 8*y(x)? -2*x**3 + 2 Let i(q) = 3*q**2 + 2*q - 2. Suppose 4*t - 45 = -t. Let f(j) = 2*j - 26. Let p be f(14). Let l(c) = -13*c**2 - 9*c + 9. Give p*l(m) + t*i(m). m**2 Let s = -10 - -6. Let k(l) = -4*l**2 - 3. Let r(o) = 5*o**2 + 4. Calculate s*k(p) - 3*r(p). p**2 Let g(d) = d**2. Let x(r) = -3*r**2 + r + 3. What is -4*g(h) - x(h)? -h**2 - h - 3 Let g(p) = 1. Let w(j) = j**2 - 2*j - 3. Determine 3*g(q) - w(q). -q**2 + 2*q + 6 Let j(y) = 3*y + 6. Let x(a) = -7*a - 12. Calculate -5*j(p) - 2*x(p). -p - 6 Let b(i) = -2*i**2 - 4*i - 4. Let c(m) = 8*m**2 - 3 - 3*m - 7*m**2 - 4*m**2. What is -3*b(r) + 4*c(r)? -6*r**2 Let m(n) be the first derivative of 3*n**4/2 + 7*n**3/3 - 5*n**2/2 + 7*n - 3. Let d(v) = -5*v**3 - 6*v**2 + 4*v - 6. Calculate 5*d(f) + 4*m(f). -f**3 - 2*f**2 - 2 Suppose 5*x - 4 = 16. Let t be (6/(-5))/(x/(-10)). Let w(u) = -u**3 - u**2 + u - 1. Let m(q) = -q**3 - 2*q**2 + 2*q - 2. What is t*m(g) - 6*w(g)? 3*g**3 Let j(p) = -p**2 - 1. Let u(w) = -17*w**3 + 4*w**2 + 4. Determine -4*j(s) - u(s). 17*s**3 Let a(t) = -3*t - 6 + 1 + 2. Let f(o) = -o**2 + 4*o + 4. Give 4*a(g) + 3*f(g). -3*g**2 Let t(g) = -4*g**3 + 5*g**2 + 5*g - 5. Let s(n) = -20*n**3 + 24*n**2 + 24*n - 24. Let k be (-16)/(-3) - 3*(-4)/(-36). Give k*s(z) - 24*t(z). -4*z**3 Let r(i) = 3*i**2 - 4*i. Let d(k) = -3*k**2 + 3*k. Let t(h) = h**3 - h**2 + 3*h - 6. Let j b
{ "pile_set_name": "DM Mathematics" }
o**2 + o - 2. Let l(t) = -2*u(t) + x(t). Give l(w) - 3*m(w). -9*w**3 - 2*w**2 - 2 Let g(h) = 4*h**3. Let s(j) = -8*j**3. Let v = -2 - -4. Suppose -3*o + 2*b + 13 = 0, -o + 0*o + 3*b = -2. What is o*g(f) + v*s(f)? 4*f**3 Suppose 5*n + 30 = 5. Let o = 10 + n. Let x(z) = -11*z + 5. Let p(g) be the third derivative of -g**4/4 + g**3/2 - g**2. Give o*p(m) - 3*x(m). 3*m Let m = 888 - 890. Let h(n) = 3. Let b(s) = s + 7. Calculate m*b(g) + 5*h(g). -2*g + 1 Let l(n) = -n**2 + n - 5. Let w(b) = 4*b**2 - 5*b + 22. Give -18*l(o) - 4*w(o). 2*o**2 + 2*o + 2 Let z(l) = l + 1. Let f(a) = -4*a - 5. Determine f(r) + 3*z(r). -r - 2 Let k(h) = -5*h - 5. Let d(m) = -4*m - 4. Let y(c) = -2*c**3 + 7*c**2 + 6*c - 5. Let b be y(4). Determine b*d(o) - 2*k(o). -2*o - 2 Suppose 21 = -3*c - 3*x, 3*c = -2*x - 16 - 2. Let a(s) = -4*s + 2. Let f be (5 - -2 - 3) + 3. Let z(q) = -2*q + 1. Calculate c*a(g) + f*z(g). 2*g - 1 Let i(c) = -c**3 - 9*c**2 - 2*c - 2. Let u be i(0). Let g(y) = -2*y. Let f(v) = -v**2 - 17*v - 1. Give u*f(l) + 18*g(l). 2*l**2 - 2*l + 2 Let t(h) = -23*h - 1. Let o(u) = 23*u + 2. Determine 4*o(d) + 5*t(d). -23*d + 3 Let r(i) = 6*i + 9586*i**2 - 9588*i**2 + 1 + i. Let b(d) = -d. Suppose -c = 2 - 9. Let p be (-2 - 0) + 0 + c. What is p*b(w) + r(w)? -2*w**2 + 2*w + 1 Let a(h) = 2*h**3 + 6*h**2 - 2*h - 5. Let o(l) = -l**2 + 1. Let y = 3 + -1. Suppose -y*k = -7*k - 15. Let c be -2 + 3*(4 + k). What is c*a(z) + 6*o(z)? 2*z**3 - 2*z + 1 Let z(j) = 7*j**3 - j + 2. Suppose m - 2 = 5*a, -4*m + 2*a + 5 = -21. Let n(f) = 8*f**3 - f + 3. What is m*z(l) - 6*n(l)? l**3 - l - 4 Let a(d) = 144*d**3 - 128*d - 64. Let z(m) = 11*m**3 - 10*m - 5. What is 5*a(x) - 64*z(x)? 16*x**3 Let d(w) = 5*w**3 + w**3 - 116*w - 8*w**3 - 4 + 112*w + 3*w**2. Let m(u) = 2*u**3 - 3*u**2 + 3*u + 3. Calculate 3*d(s) + 4*m(s). 2*s**3 - 3*s**2 Let k(l) = -4*l + 6. Let i = 501 + -505. Let y(h) = 3*h - 6. Give i*k(q) - 5*y(q). q + 6 Let u(f) = 2*f**2 - 4*f + 10. Let v(z) = 2*z**2 - 2. Determine u(i) + 4*v(i). 10*i**2 - 4*i + 2 Let s(f) = f**2 + f + 2. Let y(x) = -14*x**2 - 9*x - 9. Determine 5*s(v) + y(v). -9*v**2 - 4*v + 1 Let a(z) be the first derivative of z**2 + 3*z - 1. Suppose -8*b + 9*b = -1. Let j(x) = 1. Give b*a(h) + 3*j(h). -2*h Let g(n) = 449*n + 10. Let w(c) = 224*c + 4. Give -3*g(l) + 7*w(l). 221*l - 2 Let l(j) = 2*j + 19. Let c(s) = -s - 18. Let m(a) = 3*c(a) + 2*l(a). Let y(x) be the first derivative of m(x). Let r(d) = -d - 4. Calculate 2*r(h) + 6*y(h). -2*h - 2 Let o(x) = 9*x**2. Let g = -11 + 13. Let h(d) = 4*d**2 + 11*d**2 - 14*d**g. Calculate 12*h(n) - o(n). 3*n**2 Let x(a) = -261*a**3 - 4*a**2 - 8*a - 4. Let h(n) = -9396*n**3 - 145*n**2 - 290*n - 145. Determine -4*h(v) + 145*x(v). -261*v**3 Let o(a) = 5*a + 1. Let f(z) be the second derivative of -11*z**3/6 - z**2 - 18*z. Suppose k = -k - 12. Give k*f(j) - 13*o(j). j - 1 Let w(l) = -2*l + 2. Suppose 3*h = -h + 24. Let g(a) = -a**3 + 6*a**2 - a + 1. Let j be g(h). Let b = -6 - -3. Let o(q) = 4*q - 3. Calculate b*o(s) + j*w(s). -2*s - 1 Let z(a) be the first derivative of a**2/2 - a - 157. Let i(v) = -3*v + 4. Determine i(w) + 6*z(w). 3*w - 2 Let f(s) = -292*s + 4. Let i(q) = 294*q - 3. Give 5*f(g) + 6*i(g). 304*g + 2 Let t(d) = -5*d**2 - 5*d + 5. Let y(x) be the second derivative of 5*x**4/12 + 2*x**3/3 - 2*x**2 + 56*x. What is -4*t(f) - 5*y(f)? -5*f**2 Let k(o) = -80*o**2 - 36*o + 11. Let j(n) = 16*n**2 + 7*n - 2. Let q(i) = -11*j(i) - 2*k(i). Let f(g) = -88*g**2 - 28*g. Calculate 5*f(r) - 28*q(r). 8*r**2 Let p(w) = w. Let x(o) = -o**2 + 3*o**2 + o**2 + 2*o. Suppose 3*u = 4*v - 0 - 10, -v = 4*u + 7. Determine u*p(m) + x(m). 3*m**2 Let z(q) = -5*q + 2. Let s be ((-12)/9)/(5/(-30)*4). Suppose -433 = s*x - 437. Let o be -2 - 1*(3 + -2). Let u(r) = -6*r + 3. Give o*z(d) + x*u(d). 3*d Let w(y) = -2*y**2 + 11*y. Let v(k) = 13*k**2 - 6*k**2 - 5*k**2 - 3*k**2 + 22*k - 16*k. Give 11*v(f) - 6*w(f). f**2 Let w(y) = 90 + 92 + 78 - 247 - y. Let n(a) = a - 7. What is -11*n(h) - 6*w(h)? -5*h - 1 Let j(v) = 79*v**3 - 3*v**2 - 4*v - 4. Let i(s) = -80*s**3 + 2*s**2 + 3*s + 3. Give 4*i(l) + 3*j(l). -83*l**3 - l**2 Let z(b) = 7*b - 8. Let c(d) = 2*d - 11. Let g(v) be the second derivative of -v**3/2 + 5*v**2 - v + 27. Let u(k) = -3*c(k) - 4*g(k). Give -6*u(j) + 5*z(j). -j + 2 Let l(t) = t**3 - t. Let z(r) = -3*r**3 + 18*r**2 + r. Let w = 3000 - 3001. Calculate w*l(a) - z(a). 2*a**3 - 18*a**2 Let m(w) be the first derivative of -2*w**3/3 + 2. Let h be (-45)/(-10) - 6/(-4). Suppose 0 + h = -u. Let q(c) = -3*c**2. Determine u*m(z) + 5*q(z). -3*z**2 Let f(p) = -1. Let u(z) = z + 29. Calculate 5*f(l) + u(l). l + 24 Let z(a) = -2*a + 1. Let j(q) = 3*q + 39. Give j(p) + z(p). p + 40 Let j(k) = 161*k - 154. Let l be j(1). Let p(w) = -2*w + 3. Let u(q) = -3*q + 3. Determine l*p(g) - 6*u(g). 4*g + 3 Let c(a) = 15 + a + 9*a + 2*a. Let v(u) be the third derivative of -6*u**2 + 0*u + 0 - 1/8*u**4 - 2/3*u**3. Determine 4*c(s) + 15*v(s). 3*s Suppose -23*w + 6 = -20*w. Let d(i) = 4*i**2 - 9*i - 2. Let v(q) = -21*q**2 + 45*q + 11. What is w*v(t) + 11*d(t)? 2*t**2 - 9*t Let w(r) = -4*r + 4. Let q(t) = 4*t - 5. Let a(b) = -3*q(b) - 4*w(b). Let j = -25 + 14. Let g(v) = -4 + 24*v + 7*v - 10*v. Calculate j*a(l) + 2*g(l). -2*l + 3 Let u(r) = -6 - r**2 + 2*r**2 + 7 + 0*r**2 + r. Let m(a) = -2*a**2 + 3*a + 1. What is -m(d) + 3*u(d)? 5*d**2 + 2 Let b(g) = 11*g - 2. Let x(u) = 35*u - 5. Give 7*b(z) - 2*x(z). 7*z - 4 Let a be 2*(-2)/(8/10). Let w(c) = -2*c. Suppose 0 = 3*q - 1528 + 301. Let m(k) = -q + k + 409. Calculate a*m(i) - w(i). -3*i Let z(v) = -31*v - 14. Let n(q) = -94*q - 45. Determine -2*n(l) + 7*z(l). -29*l - 8 Let p(x) = 2*x - 275. Let h(t) = 1. What is 6*h(r) - p(r)? -2*r + 281 Let v(c) = c**2 + 3*c - 3. Let o = 43 - 45. Let i(s) be the second derivative of -s**4/12 - s**3/3 + s**2 + 39*s + 1. Calculate o*v(j) - 3*i(j). j**2 Let v = -18 + 13. Let f(a) = -7*a**2 + 3*a + 1. Let s(n) be the second derivative of n**4/2 - n**3/3 - n**2/2 + 14*n. Give v*s(t) - 4*f(t). -2*t**2 - 2*t + 1 Let n(b) = 1 + 4 + 0 + 4*b. Let y(s) = s**3 - 4*s**2 - 2*s - 11. Let a be y(5). Let u be 9/(-15) - (-44)/(-10). Let w(o) = 3*o + 4. Determine a*n(j) + u*w(j). j Let m(p) = p**3 + 6. Let n be 3*1 - (-73 + 70). Let v(y) = y**3 + y**2 + 5. Determine n*v(w) - 5*m(w). w**3 + 6*w**2 Let m(c) = 3*c**3 - c**2 - c. Let q(i) = 7735*i**3 - 2380*i**2 - 2380*i. Calculate -2380*m(y) + q(y). 595*y**3 Suppose 25*d + 77 + 48 = 0. Let x(a) = -a. Let z(f) = f**2 + 5*f + 2. Determine d*x(u) - z(u). -u**2 - 2 Let s be (648/63 - 7) + 4/(-14). Let i(r) = -4*r - 1. Let c(n) = -4*n. Give s*c(o) - 4*i(o). 4*o + 4 Let p(t) = -191913*t**2 - 2982*t + 4473. Let c(m) = 644*m**2 + 10*m - 15. Give 1491*c(o) + 5*p(o). 639*o**2 Let v(f) = 99*f - 12. Let h(a) = -52*a + 5. Let r(c) = -11*h(c) - 6*v(c). Let g(j) = 7*j - 6. What is -17*g(t) - 6*r(t)? 13*t Let r(l) = 26*l**3 - 6*l**2 + 8*l. Suppose -442 = -8*a - 402. Let p(w) = -9*w**3 + 2*w**2 - 3*w. Give a*r(k) + 14*p(k). 4*k**3 - 2*k**2 - 2*k Let o(n) = -6*n - 414. Let f(b) = b + 83. Give 11*f(r) + 2*o(r). -r + 85 Let y(i) = 20776*i**3 - 2548*i**2 + 1274*i - 637. Let k(q) = -98*q**3 + 12*q**2 - 6*q + 3. Calculate 1274*k(d) + 6*y(d). -196*d**3 Let d(k) = -1. Let y(m) = m**3. Suppose -3*u - 4*w = -20, 3*u + w - 5 = -2*u. Suppose 3*n + 6 = -u*n. Let a be 4/14*14 - (1 - -1). Determine a*d(r) + n*y(r). -2*r**3 - 2 Let p(u) = 101*u - 3. Let v(n) = -102*n + 4. Determine -6*p(y) - 5*v(y). -96*y - 2 Let s(q) = 13*q - 7*q - 7*q. Let a = 8 - 4. Let m(z) = -3*z**2 - 3*z - 2*z**2 + a*z**2. Give m(k) - 2*s(k). -k**2 - k Let s(x) = 46*x**2 + 2*x - 21. Let f(i) = 22*i**2 + i - 10. Calculate 9*f(j) - 4*s(j). 14*j**2 + j - 6 Let s(b) = -100*b + 124. Let r(h) = -11*h + 14. Let u(f) = -28*r(f) + 3*s(f). Let a(t) = 3*t - 7. What is -14*a(o) + 5*u(o)? -2*o - 2 Let n(v) be the third derivative of -v**4/12 - v**3/6 + 63*v**2 + 2. Let a(b) = -5*b - 1. Determine 4*a(k) - 9*n(k). -2*k + 5 Let w(h) = 4*h**3 - 3*h**2 - 3*h + 3. Let l(c) = -15*c - 6*c**2 + c**2 + 25*c**3 + 5 - 18*c**3 + 10*c. Give -3*l(n) + 5*w(n). -n**3 Let l(j) = 8*j**2 + 1. Let b(n) = 2*n + 1. Give -b(t) - l(t). -8*t**2 - 2*t - 2 Let c(m) be the first derivative of m**3/3 + 3*m**2 + 8*m - 149. Let y(t) = 2*t**2 + 13*t + 17. Ca
{ "pile_set_name": "DM Mathematics" }
= -118*n + 6*n - 6808 for n. -92 Solve -1253*s + 11910 = 8151 for s. 3 Solve 0 = -405*y + 428024 - 466904 for y. -96 Solve 0 = 18*q + 13460 - 14522 for q. 59 Solve -1875 = 1827*j + 165*j + 4828 + 3257 for j. -5 Solve 76 = -82*j - 623 + 43 for j. -8 Solve -26987 = 187*h + 75*h - 50*h - 8119 for h. -89 Solve 5776*z + 1064*z + 5545*z + 290087 = 2382*z for z. -29 Solve 134996*f - 134894*f + 204 = 0 for f. -2 Solve -183*q - 189*q - 2432 = 166*q - 500*q for q. -64 Solve -48*z - 2034 + 1001 - 825 = 2126 for z. -83 Solve 73*a = 333 + 1784 for a. 29 Solve -803230 = -9120*x + 26210*x for x. -47 Solve 564*p + 612*p - 292*p + 19040 = -68*p for p. -20 Solve -530*t = -935*t + 469*t + 3136 for t. -49 Solve -72693 = -7418*b - 554863 for b. -65 Solve -55 = -173*b - 158*b - 386 for b. -1 Solve 19*q = -3*q - 670 + 516 for q. -7 Solve -17*x + 40*x + 96*x = -3570 for x. -30 Solve 4277 - 46 = -162*t + 413 - 232 for t. -25 Solve -75*t - 661 + 878 = 715*t + 5747 for t. -7 Solve 2350 = -789*q - 23154 + 1834 for q. -30 Solve 0 = 1118*d + 20223 + 60444 - 27003 for d. -48 Solve -361*s + 45 = -392*s - 79 for s. -4 Solve 112*u + 393 + 518 = -321 for u. -11 Solve 0 = -4883*p - 8089 - 299540 for p. -63 Solve -60*o = -449 + 1527 + 1802 for o. -48 Solve 3103*h = 1016*h + 70958 for h. 34 Solve -15663*n + 15724*n = 871 - 4104 for n. -53 Solve -953 - 2356 + 133 = 794*g for g. -4 Solve -7550 = -2531*s + 1776*s for s. 10 Solve -1930*c + 50173 + 2143 - 2136 = 0 for c. 26 Solve 0 = -467*x + 10830 - 6763 + 12216 + 17808 for x. 73 Solve -11281344 + 11281058 = 26*l for l. -11 Solve 42*c + 911 + 11689 = 142*c for c. 126 Solve -5801 - 2577 - 2117 = 369*a - 532 for a. -27 Solve 92*j - 354*j - 209*j = 111*j - 33174 for j. 57 Solve -73*o + 16576 = 20299 for o. -51 Solve 442*k + 28101 = -460*k + 12492 - 35805 for k. -57 Solve 113*y + 386512 = 384591 for y. -17 Solve -876*i + 11126 - 34713 - 32127 = -9286 for i. -53 Solve 0 = -1124*a + 1316*a - 960 for a. 5 Solve 0*r - 284*r - 975 + 2126 = -26113 for r. 96 Solve 114965 + 139326 = -10647*i - 214177 for i. -44 Solve 1517 = -187529*g + 187492*g for g. -41 Solve 0 = 178*g - 237*g - 210*g + 15064 for g. 56 Solve -37*u - 9*u = -557*u - 396*u - 19047 for u. -21 Solve -1400*w - 6724 = -5570 + 21378 + 11068 for w. -24 Solve 0 = 14924*c - 7472*c - 7603*c - 12420 - 5851 for c. -121 Solve -112180569 = -143*l - 112165983 for l. 102 Solve 1101*r - 31437 = -162*r - 234*r for r. 21 Solve 129*j + 476 + 2015 + 2830 = 290 for j. -39 Solve 0 = 2400*n - 56436 + 41423 + 161413 for n. -61 Solve 16*h = -51*h - 79*h - 3650 for h. -25 Solve 144*m - 1386 = -113*m - 967 + 10375 for m. 42 Solve 55*t + 10272 = -30*t + 10102 for t. -2 Solve 354434 = 9107*f - 310377 for f. 73 Solve -8734 = -106*i - 18486 for i. -92 Solve -7*m - 1442 = 62*m + 11*m + 798 for m. -28 Solve -363*z = -17*z + 192*z - z + 16647 for z. -31 Solve 415*i = 6025 + 20535 for i. 64 Solve 7877*s - 8412*s + 7490 = 0 for s. 14 Solve 13098 - 5994 + 9416 = -3*g + 239*g for g. 70 Solve 94437 = -21*h + 95445 for h. 48 Solve -11611*l - 1250564 = 14745*l - 4202436 for l. 112 Solve -1221*z + 2455*z = 1220*z - 182 for z. -13 Solve 388*p = 179*p + 229*p + 1660 for p. -83 Solve -126081 - 255029 = -6544*w - 132256 + 294298 for w. 83 Solve 774*z + 1447*z - 16876 + 7234 = 17010 for z. 12 Solve -207*h + 2706 + 1349 = 591*h + 13*h for h. 5 Solve 573*m - 5773 = 13872 + 983 for m. 36 Solve 564525 = -859*z - 6668*z for z. -75 Solve -2294*r - 77933 + 293236 = -8113*r for r. -37 Solve 55*z - 30*z = 113*z + 2200 for z. -25 Solve -1267 = 74*q + 1410 + 209 for q. -39 Solve 428828 = 13905*o + 2222573 for o. -129 Solve -17*z - 9272 = 1348*z + 9821 + 9572 for z. -21 Solve 6591 = 647*c + 484*c - 34594 - 70784 for c. 99 Solve 17929 + 14269 + 46036 = 5060*q - 4293*q for q. 102 Solve -5478*v - 45321 = 91629 for v. -25 Solve 0 = 1194*i + 28939 + 9269 for i. -32 Solve 692*a - 5*a + 576*a - 136578 = -63*a for a. 103 Solve -146416 = 2780*o - 368816 for o. 80 Solve 0 = 11650*n - 11282*n - 20911 - 6321 for n. 74 Solve 317938 = 180*c + 313798 for c. 23 Solve -11064 = -81*r - 9930 for r. 14 Solve -459*v - 464*v - 20 = -927*v for v. 5 Solve -148*u - 116435 = -111847 for u. -31 Solve 0 = 4180*u + 35462 - 428382 for u. 94 Solve -407*f + 276*f + 10554 + 11424 = 535*f for f. 33 Solve 334 = 129*i + 6436 + 4089 for i. -79 Solve 77*g - 10*g + 12218 = -231*g for g. -41 Solve -713*r - 81795 = -105*r + 575*r + 43603 for r. -106 Solve 41*r + 95*r + 30*r + 32*r = 7524 for r. 38 Solve -12645*a + 12631*a - 742 = 0 for a. -53 Solve -425*l - 219 - 11 = 417 + 203 for l. -2 Solve 78*m = -1032 + 3762 + 2028 for m. 61 Solve -35626*c + 17531*c + 6266 = -17613*c for c. 13 Solve 4828*o - 4572*o - 15872 = 0 for o. 62 Solve -21271 + 3570 = 762*q + 21923 for q. -52 Solve 4418*p - 4962*p = 7325*p + 668865 for p. -85 Solve -11*c = -187*c + 91*c + 1360 for c. 16 Solve 147*r - 130*r + 408*r + 599 - 24824 = 0 for r. 57 Solve -3192 + 11358 = 210*l - 2334 for l. 50 Solve 167*v - 158*v - 288 = 0 for v. 32 Solve -320*a + 185002 - 73150 = 244*a - 2715*a for a. -52 Solve 3401*g = -189*g - 100520 for g. -28 Solve 27 = -80*v + 238 + 1149 for v. 17 Solve 51*p + 755 - 448 + 968 = 0 for p. -25 Solve 15412121*c + 8866 = 15412264*c for c. 62 Solve -4108 = 269*i + 8276 - 2162 for i. -38 Solve -33066 - 18119 - 514 = 1557*u - 3432 for u. -31 Solve -1494 + 376 - 593 = 55*y + 709 for y. -44 Solve 1937*h + 2679*h + 79824 = 407560 for h. 71 Solve -6*b - 195*b = 339*b + 123*b - 63648 for b. 96 Solve 26208 = -250*i + 978*i for i. 36 Solve 1131*d = 584*d - 2056*d + 41*d - 166530 for d. -65 Solve 2482 = 92*z - 2873 - 570 - 147 for z. 66 Solve 308*h = 666*h + 340*h + 15356 for h. -22 Solve -250*o - 5875 = 7875 for o. -55 Solve 5115 = 2121*c - 64878 for c. 33 Solve 0 = -486*w - 8359 + 20509 for w. 25 Solve -2409*t - 3*t + 74490 = 532*t - 461*t for t. 30 Solve 33177*y - 16555 = 32962*y for y. 77 Solve -1681*z - 78026 = 1237*z + 3084*z for z. -13 Solve -104*h + 53*h - 29*h - 4320 = 0 for h. -54 Solve 20277 - 5391 = 827*r for r. 18 Solve 1919*w - 768096 = 3478*w + 3775*w for w. -144 Solve 999*m + 10798 - 59377 = 11361 for m. 60 Solve 809*j + 170*j - 1693 = 256*j - 17599 for j. -22 Solve -1956*x + 137075 = 435*x + 3092*x for x. 25 Solve 652*m + 670*m - 26082 = 1511*m for m. -138 Solve 58*d - 36*d = 38*d + 688 for d. -43 Solve -6873 - 5913 = -55*c - 10311 for c. 45 Solve -1930*j - 13918 - 15842 = -7143 + 14053 for j. -19 Solve 3917*l - 1458*l = -1181*l - 1398*l + 151140 for l. 30 Solve -230*s + 7069 - 511 = 1268 for s. 23 Solve 2753 = 198*s - 1745 - 1442 for s. 30 Solve -2783*z + 966*z = -1016*z - 929*z + 15872 for z. 124 Solve 13898*d = 3513*d - 118043 + 741143 for d. 60 Solve 5759*k + 205830 = -168505 for k. -65 Solve 24931 - 132102 = -3885*d + 118159 for d. 58 Solve 0 = -54*b - 9*b + 1575 for b. 25 Solve -1700*x = 470*x - 190960 for x. 88 Solve 23*w - 5783 = -5254 for w. 23 Solve 0 = 12343*n - 12239*n + 1664 for n. -16 Solve 833*s + 3613*s = -2394*s - 232560 for s. -34 Solve 7297*r = -10780*r - 1337698 for r. -74 Solve -459*c - 2450 = 2599 for c. -11 Solve -8*c + 907 = 25*c - 842 for c. 53 Solve -1017*g + 2193*g = -65856 for g. -56 Solve 21*g = 1004 + 4 for g. 48 Solve 10344*b + 2887*b - 529240 = 0 for b. 40 Solve 34499789*r - 1955 = 34499812*r for r. -85 Solve 1214*r + 1985 - 307 = -287 - 463 for r. -2 Solve 5408 = -120*r + 1987*r - 11395 for r. 9 Solve 182*y - 134*y + 10338 + 5244 = 790*y for y. 21 Solve -116*q = 7679129 - 7681913 for q. 24 Solve 0 = 957*v + 3025*v - 349233 - 88787 for v. 110 Solve 50409 = 670*a + 327*a + 870*a for a. 27 Solve 0 = 12*z - 13*z + 18*z + 289 for z. -17 Solve -71935 = 2193*a - 40218 + 95477 for a. -58 Solve -1175*a + 1619*a + 19092 = 0 for a. -43 Solve 19*y + 82*y = -34*y - 4185 for y. -31 Solve -4471 - 5311 = 368*a + 890 for a. -29 Solve 9024*v - 1589*v = 460710 - 118700 for v. 46 Solve -30*l + 491 + 778 + 243 = -978 for l. 83 Solve 59*p - 1460 = -128 - 174 + 1497 for p. 45 Solve -860*f - 80092 - 47164 = 907*f - 45974 for f. -46 Solve -17*y - 67*y - 119*y = 176*y + 18950 for y. -50 Solve 57*y - 32*y + 70*y + 12246 = -62*y for y. -78 Solve 19359 = -17379*q - 342654 + 1214568 + 833208 for q. 97 Solve 668109*d - 203 - 77 = 668129*d for d. -14 Solve 23*k = 131*k - 59435
{ "pile_set_name": "DM Mathematics" }
10*a + 16. Determine o*b(y) - 16*d(y). 2*y Let x(o) = -8*o. Let b(u) be the first derivative of -1/2*u**2 + 0*u - 7. Determine -52*b(c) + 6*x(c). 4*c Let o(y) = -y + 18. Let l(k) be the first derivative of k - 32. Determine -6*l(q) + o(q). -q + 12 Let u(y) = y**2 - 7*y + 14. Let i be u(4). Let o(n) = 5 + 6 - 8*n**i + 10 + 2*n**2. Let v(t) = -t**2 + 4. Give -4*o(a) + 21*v(a). 3*a**2 Let o(a) = -2*a**2 - 69*a + 2. Let w(z) = 10*z**2 + 342*z - 11. Determine 11*o(i) + 2*w(i). -2*i**2 - 75*i Let r(c) = -18. Let x(t) = t - 17. What is 6*r(n) - 5*x(n)? -5*n - 23 Suppose -17*l - 2 = -15*l - d, -2*l + 3*d = -2. Let t(q) = q + 1. Let h(m) = -7. What is l*h(x) - 14*t(x)? -14*x Let a(m) = 10*m**2 - 13*m - 11. Let t(v) = -11*v**2 + 2*v + 20. Let g(j) = -5*j**2 + j + 9. Let q(z) = 9*g(z) - 4*t(z). Give -2*a(k) - 22*q(k). 2*k**2 + 4*k Let i(a) = a - 1. Let n(v) = 7*v - 6. Let f(t) = -3*t + 2. Let r(m) = 2*f(m) + n(m). Determine 4*i(x) - 6*r(x). -2*x + 8 Let i(f) = -6*f + 13. Let q(s) = -17*s + 39. Let u be (1 + 27)/4 - 72/24. What is u*q(l) - 11*i(l)? -2*l + 13 Let b(i) = -4*i**3 + 5*i**2 + 3*i + 6. Let k(j) = 8*j**3 - 11*j**2 - 6*j - 13. Determine -13*b(w) - 6*k(w). 4*w**3 + w**2 - 3*w Let p = 145 - 145. Let w(q) = 0*q + 0*q - q + p*q. Let m(t) = 2*t**3 + 0 + t - 1 + 4*t. Calculate -m(v) - 6*w(v). -2*v**3 + v + 1 Let j(i) = 4*i - 26. Let y be j(18). Let t(o) = -o - 2 + 45*o**2 + 4*o - y*o**2. Let a(s) = -2*s**2 + 5*s - 3. Suppose -2 = -b + 3. Calculate b*t(x) - 3*a(x). x**2 - 1 Let s(h) = 5*h**2 + 6*h - 6. Let b(r) = r**3 - 9*r**2 - 11*r + 11. Let m = -386 + 375. What is m*s(z) - 6*b(z)? -6*z**3 - z**2 Let c(s) = -s**2 - s. Let u(p) = 5*p**3 + 6*p**2 - 7*p. What is 6*c(a) + u(a)? 5*a**3 - 13*a Let g(t) = t**2 + 34*t + 9. Let d(w) = -8*w**2 - 240*w - 64. Give 2*d(i) + 15*g(i). -i**2 + 30*i + 7 Let m(j) = 2*j**2 - 8*j - 8. Let k(z) = z - 4*z - 5 + z + z**2 - 3*z. Suppose -18*d + 14*d = -32. Calculate d*k(v) - 5*m(v). -2*v**2 Let l(n) be the first derivative of 0*n**2 + 18 + n + 1/3*n**3. Let f(x) = -7*x**2 + 2*x - 2. Give -f(h) - 4*l(h). 3*h**2 - 2*h - 2 Let k(l) = 22*l + 13. Let h(r) = -24*r - 14. What is 3*h(n) + 4*k(n)? 16*n + 10 Let r(i) = 14*i**3 - 5*i**2 - 5*i. Let b(d) = -2*d**2 - 10*d - 2*d**2 + d**2 + 15*d**3 + 4*d - 3*d**2. Determine 5*b(w) - 6*r(w). -9*w**3 Suppose -60 = 6*t - 36. Let j(v) = 1. Let u = -3 + 2. Let d(l) = -l + 7. Let y(o) = 1. Let f(r) = -d(r) + 4*y(r). Calculate t*j(h) + u*f(h). -h - 1 Suppose -6*p + 75 = -81*p. Let k(j) = 0 + 1 - 2. Let o(l) = -l + 3. What is p*o(n) - 3*k(n)? n Let h(d) = -10*d**2 - 5*d + 40. Let t(a) = -5*a**2 - 2*a + 19. Determine -4*h(n) + 9*t(n). -5*n**2 + 2*n + 11 Let i(l) = -5*l**2 + 4*l - 4. Let u(k) = -k**2 - 6*k + 3*k**2 + 1 + k + 4*k. Let s(p) = i(p) + 3*u(p). Let g(j) = 3*j - 2. What is g(x) - 2*s(x)? -2*x**2 + x Let g(s) = s**3 + 2*s + 1. Let j(z) = -z**3 - 12*z**2 + z - 7. Let x be j(-12). Let w = -18 - x. Let t(n) = -n + 2*n + 2 - 1. What is w*g(c) - 3*t(c)? c**3 - c - 2 Let i(x) = 2*x**2 - x. Let p(d) = -31*d**2 + 9*d**2 + 6*d**2 - 1 + 17*d**2 + 0. Suppose 3*h + 3 = 6. Determine h*i(a) - p(a). a**2 - a + 1 Let z be -2*(-7 + 18/12). Let h(v) = -6*v**3 + 11*v**2 - 2. Let g(x) = -3*x**3 + 6*x**2 - 1. Determine z*g(y) - 6*h(y). 3*y**3 + 1 Let d(k) = -4*k + 1. Let p(i) = -4*i + 3*i + 15 - 15. Let j = -4 - -9. Suppose 4*u + 23 = j*w, -8 = 2*w + 3*u - 31. Calculate w*p(s) - 2*d(s). s - 2 Let f(y) = -9*y**3 - 6*y**2 - 22*y - 12. Let i(g) = -g**3 - g**2 - 2. What is f(b) - 6*i(b)? -3*b**3 - 22*b Suppose 106*w + 183 = 389 + 112. Let d(h) = 5*h**3 + 3*h + 3. Let s(c) be the first derivative of -c**4/4 + c**3/3 - c**2/2 - c + 1. Calculate w*s(o) + d(o). 2*o**3 + 3*o**2 Let j(b) = -5*b**2 - 5*b - 10. Let d(h) = 9*h - 69*h**2 + 19 - 69*h**2 - 71*h**2 + 218*h**2. Give 6*d(r) + 11*j(r). -r**2 - r + 4 Let f(j) = j**2 - j - 1. Let x(p) = -16*p**2 - 8*p - 13. Let w(r) = -7*r**2 - 4*r - 6. Let m(s) = -9*w(s) + 4*x(s). What is 4*f(b) + m(b)? 3*b**2 - 2 Let c(a) be the third derivative of -a**4/8 + 2*a**3/3 - a**2 - 114. Let t(b) = -39*b + 51. What is 27*c(r) - 2*t(r)? -3*r + 6 Let z(h) be the third derivative of h**6/20 - h**5/10 + h**4/4 - 2*h**2 - 2. Let q(k) = -5*k**2 + 7*k**3 + 5*k - 2*k**3 + 0*k. Calculate -7*q(m) + 6*z(m). m**3 - m**2 + m Let x(t) = 10*t**2 + 9*t + 2. Let l(q) = -49*q**2 - 46*q - 11. Determine 2*l(o) + 11*x(o). 12*o**2 + 7*o Let v(h) = h**3 + 14*h**2 - 54*h + 2. Let u be v(3). Let f(t) = -t**3 - 6*t**2 - 7*t + 1. Let y(m) = m**3 + 7*m**2 + 8*m - 2. What is u*f(w) - 6*y(w)? w**3 + w + 5 Let f be 10/(-12) + (-100)/24 + 1. Let z(i) = i**2 + 1. Let x(p) be the first derivative of -5*p**3/3 - p**2/2 - 5*p + 1. Determine f*z(c) - x(c). c**2 + c + 1 Suppose -26*s + 5*n = -25*s - 35, -2*s = -4*n - 34. Let g be 1*2*(-1 - 0). Let p be 0/g - (2 + 0). Let j(m) = 4*m. Let x(z) = 9*z. Give p*x(y) + s*j(y). 2*y Let o(r) = -5 - r + 2 + 3. Let g(v) = -11*v**2 + 2*v - 1. Let a be g(1). Let x(n) be the first derivative of 2*n**2 + 1. Determine a*o(b) - 3*x(b). -2*b Let o(r) be the third derivative of 5*r**4/8 - r**3/2 - 583*r**2. Let k(w) = -31*w + 7. Calculate -3*k(t) - 7*o(t). -12*t Let i(r) = -2*r**2 + 4*r - 4. Let p(m) = m**3 + m. What is i(a) - 3*p(a)? -3*a**3 - 2*a**2 + a - 4 Let q = 2 + -7. Let d(p) be the third derivative of -p**4/4 - p**3/2 + 3*p**2. Let m(h) = -8*h + h - 12 + 9. Calculate q*d(v) + 4*m(v). 2*v + 3 Let o(j) = -j**2. Let u(w) = 8*w**2 + w**2 + 9*w**2 + 0*w**2. Calculate 117*o(p) + 6*u(p). -9*p**2 Let s(f) = -21*f - 4. Let b(g) = -272*g - 51. What is 4*b(a) - 51*s(a)? -17*a Let j(o) = -5*o + 71. Let p(c) = 14*c - 215. Calculate 11*j(x) + 4*p(x). x - 79 Let i be (15*(-2)/25)/(1/5). Let h(t) = -4*t**3 + 4*t**2 - 5*t. Let f(w) = 3*w**3 - 3*w**2 + 4*w. Determine i*f(u) - 5*h(u). 2*u**3 - 2*u**2 + u Let f(u) = 5473*u**2 + 39*u + 78. Let r(g) = -288*g**2 - 2*g - 4. What is 2*f(b) + 39*r(b)? -286*b**2 Let y(g) = 4*g + 3. Let r = 136 - 108. Let u(b) = -27*b - 24*b - r*b + 78*b - 1. Let d(t) = t**3 - 2*t**2 - 3*t - 1. Let a be d(3). Give a*y(j) - 3*u(j). -j Let g(h) = h**2 - 2. Let s(k) = 198*k**3 + 12*k**2 - 24. Give -12*g(c) + s(c). 198*c**3 Let i(t) = 17*t**2 + 3*t - 3. Let k(a) = 22*a**2 + 14*a + 34. Let l(z) = -z**2 - 2*z - 6. Let n(u) = -k(u) - 6*l(u). Calculate -2*i(o) - 3*n(o). 14*o**2 Let u(s) = s**3 - 7*s**2 - 2*s + 7. Let c(m) = -m**3 + m**2 - 1. Calculate -6*c(l) - u(l). 5*l**3 + l**2 + 2*l - 1 Let a = -146 + 149. Let b(t) = -5*t**2 - 3. Let n(s) = -4*s**2 - 2. Give a*n(d) - 2*b(d). -2*d**2 Let a be (-6 - -10) + 10/(-2) + 0. Let v(t) = -2*t**2 - 6*t**2 + t**2 + 3. Let r(z) = z**2 - 1. Give a*v(y) - 3*r(y). 4*y**2 Let t(g) = -g**3 + g**2 + g - 1. Let p(h) = 5*h**3 - h**2 - h + 1. Let o = -451 - -452. What is o*t(s) + p(s)? 4*s**3 Let r = -56 + 53. Let h(g) = 3*g. Let p(l) be the first derivative of -25*l**2/2 + 17. Calculate r*p(x) - 24*h(x). 3*x Let k(d) = -19*d**3 - d - 7. Let r(j) = -56*j**3 - 3*j - 20. Give -11*k(n) + 4*r(n). -15*n**3 - n - 3 Let h = 524 - 520. Let y(l) = -l - 1. Let m(x) = 0 - 3 + 2. Calculate h*y(o) - 4*m(o). -4*o Let o(v) = -1. Suppose t = 4*b - 6, 18*b + 2*t = 20*b - 6. Let y(p) = -2*p + 1. Calculate b*y(k) + o(k). -2*k Let j(p) be the second derivative of -5*p**4/12 + 9*p**2/2 + 2*p. Let v(s) = s**2 - 2. Suppose -16 = 7*q - 11*q. Determine q*j(b) + 18*v(b). -2*b**2 Let m(a) = -3*a**3 - 3*a**2 + 3*a + 2. Let y(x) be the second derivative of x**4/12 - x**3/6 - x**2/2 - 31*x. Give m(l) + 2*y(l). -3*l**3 - l**2 + l Let i(d) = 3598*d**2 + 18*d - 36. Let h(t) = -1028*t**2 - 5*t + 10. Give -18*h(j) - 5*i(j). 514*j**2 Suppose -15 = 3*b, q - 4*b + 5*b = -6. Let d(w) = -w**2 + w - 1. Let g(c) = 7*c**2 - 3*c + 3. Give q*g(o) - 3*d(o). -4*o**2 Let h(p) = -347*p**2 + 11*p + 11. Let r(n) = 115*n**2 - 4*n - 4. Calculate -4*h(i) - 11*r(i). 123*i**2 Let n(a) = 3*a - 3. Let h be (-2)/((-1)/(-1)*(-4)/12). Let j(w) = 0*w - 16*w + 10*w + 5. Give h*j(u) + 10*n(u). -6*u Let c(k) = -2*k**3 + 3*k**2 + 9*k. Let t(u) = -u**3 + 2*u**2 + 5*u. Let x(j) = 3*j**2 - 12*j - 12. Let a be x(5). Determine a*c(l) - 5*t(l). -l**3 - l**2 + 2*l Let y(q) = 2*q**2 + 5*q + 5. Let f(u) = 3*u**2 + 6*u + 6. Calculate 3*f(g) - 4*y(g). g**2 - 2*g - 2 Let d(z) = z + 16. Suppose 4*k - 40 - 8 = 2*t, -2*t = 3*k -
{ "pile_set_name": "DM Mathematics" }
4 - (4 + -1)? False Let k(i) = 51*i**2 + i - 8. Suppose 0 = -v - 4, 10 = j - 5*v - 15. Does 12 divide k(j)? True Suppose 2*h - 732 = 4*u - 9054, -2*u + 4159 = h. Suppose 0 = -35*y + 25*y + u. Is 26 a factor of y? True Suppose 18*c + 61725 - 305931 = 0. Does 22 divide c? False Let q(m) be the second derivative of -31*m**4/6 + m**3/3 + m**2 - 3*m. Let d be q(-2). Let x = d + 420. Does 34 divide x? True Let d be (-246)/(-2) + -1 + 2. Suppose -4*u = -4*h - d, 2*u = h + 4*h + 71. Let k = u - -2. Is k a multiple of 20? False Let v = 6278 + -4730. Is 36 a factor of v? True Suppose 0 = 5*a + w - 1505, 101*w - 1205 = -4*a + 100*w. Does 3 divide a? True Let g(b) = 190*b - 61. Let x be g(6). Let a = 1588 - x. Is 6 a factor of a? False Suppose h = 4*h + j - 16, -41 = -3*h + 4*j. Let t be 2/(-5) + (-82)/(-5). Let b = t - h. Is 2 a factor of b? False Suppose 0 = -13*n + 17458 + 15055. Does 7 divide n? False Suppose 5*a - a = 16. Let w = -2571 - -2894. Suppose -5*k + 5 = -a*k, 3*g + k - w = 0. Does 6 divide g? False Let y(c) = 7*c**3 - 25*c + 39. Does 22 divide y(12)? False Let s = -26804 + 50879. Is s a multiple of 15? True Let l(q) = q**3 - q**2 - 7*q + 5. Let i be l(3). Suppose i*g = g + 317. Let z = g + -173. Is z a multiple of 9? True Let z = -8790 - -17490. Is z a multiple of 50? True Let c(k) = 7*k + 68. Let g be c(-21). Let b = g - -300. Is 29 a factor of b? False Let k be (-378)/36*4/6. Let x(h) = h**2 + 5*h - 10. Let a be x(k). Suppose -a*f + 38 = 5*q, f + 3*f = 3*q + 54. Is f a multiple of 6? True Let u(q) = -1563*q**3 - 7*q - 6. Is 5 a factor of u(-1)? False Let a = -150 + 254. Let f be -1 + a + (-7 - -3). Suppose -y = -3*j - f, 0 = -5*y - 6*j + j + 595. Is y a multiple of 19? True Does 80 divide (96/5)/(1431/1550250)? True Let q = -65 + 186. Suppose -y - 2*y = 246. Let s = q + y. Does 32 divide s? False Suppose 10*x + 10 - 50 = 0. Suppose -3*j + 6*j + 2*v - 9 = 0, -x*v = j + 7. Suppose -633 = -j*u - 2*h + 4*h, h = -u + 128. Is 31 a factor of u? False Let d(f) = 3*f - 7. Let v be d(4). Suppose 7*l + 10 = v*l. Let m(q) = -12*q - 3. Does 13 divide m(l)? False Let r = -60 + 64. Suppose r*y - y - 6 = 0. Suppose y*f - 36 = w, -4*f - 2 = 2*w - 90. Is 20 a factor of f? True Let i be (-4 - -3)*(12 - 4). Let f(q) = -q**3 - 9*q**2 - 17*q - 8. Does 16 divide f(i)? True Let w(p) = -275*p - 2029. Is 35 a factor of w(-46)? False Let z = 183 + -539. Let o be -2*(2/4 - z/(-8)). Suppose 4*f + 4*f = o. Does 2 divide f? False Let v(x) = -6*x - 98 + x**2 - 97 + 189. Let t be v(7). Is 3 a factor of (t - 16 - -3)/(-2)? True Suppose 2*x + 0*x = -3*o + 105, -2*o = x - 52. Suppose -53*k + x*k = 88. Suppose 9*m = 128 + k. Is m a multiple of 12? True Let w = 52 + -183. Let h = -126 - w. Suppose -b + 117 + 31 = 4*m, -h*m - 4*b = -196. Is m a multiple of 4? True Suppose 4*f - 22 = f + 2*z, 2*f = -3*z + 6. Suppose x = 5*k + 181, f*k + 20 = 2*k. Is x a multiple of 39? True Is 15 a factor of (12 - 8) + 5964 + 7? False Suppose 129*d - 109890 - 552267 = 0. Does 41 divide d? False Let k(v) = -8*v**3 + 23*v**2 - 21*v - 26. Let w(h) = -2*h**3 + 8*h**2 - 7*h - 9. Let m(a) = 6*k(a) - 17*w(a). Is 4 a factor of m(-2)? False Let d(q) = q**2 + 15*q - 26. Is 2 a factor of d(13)? True Suppose 0 = 5*k + 3*v - 852, -v = 3*k - 5*k + 332. Let s be 3/(k/7) + (-2514)/16. Let d = s - -265. Does 12 divide d? True Let b(s) = -s**3 + 5*s**2 - 17*s + 1204. Does 338 divide b(-21)? False Suppose -9*i + 13*i - 220 = 0. Suppose 5*m + 6*m - i = 0. Suppose -2*d + 2*h = 18 - 42, 0 = h - m. Does 4 divide d? False Suppose -9*y + 8*y - 4*w = -719, 2876 = 4*y - w. Suppose -10*t = 59 - y. Is t a multiple of 7? False Let h(n) = n**3 - 38*n**2 + 105*n - 2. Let g be h(35). Is (825/10)/(g/(-8)) a multiple of 10? True Suppose 0 = -45*u + 1008058 + 1078412. Is 194 a factor of u? True Let w = 12732 - 8385. Is w a multiple of 27? True Suppose -30*j + 26*j = -100. Suppose j = 4*s + s. Suppose 0 = s*a + a - 366. Is 30 a factor of a? False Suppose 0 = 7*h + 14, -32*i = -27*i - 5*h - 224920. Does 25 divide i? False Let o(z) = z**2 - 3*z + 7. Let v be o(6). Suppose 2*g = -v - 37. Let k = 43 + g. Does 12 divide k? True Suppose -59*o = -57*o - 174. Suppose 88*v = o*v + 90. Is v a multiple of 6? True Suppose -2*n = -4*y - 1296 + 292, 3*n = 2*y + 1510. Is 21 a factor of n? True Let s(u) = 407*u**2 + 519*u + 9. Is s(-4) a multiple of 9? False Let n(i) = -4*i**3 - 3*i**2 - 30*i - 178. Is n(-9) a multiple of 35? True Suppose -498*f = -500*f + 66. Suppose 0 = 3*k + f*k - 11412. Is k a multiple of 7? False Let l be -24 - (5/5 - 0). Is (-1 - 74)*-1*(-10)/l a multiple of 5? True Let c be (-700)/(-15) - 8/(-6). Let h be (1 - 4)/(c/(-4480)). Suppose 0 = -j, 5*t + 6*j = j + h. Does 14 divide t? True Let i(w) = 15 + 22*w + 109 - 3*w. Does 25 divide i(6)? False Let g = 2466 + -1397. Does 5 divide g? False Suppose u + 9871 = 2*g, 5*u = 11*g - 8*g - 14789. Does 159 divide g? False Suppose -80*l - 33120 = -112*l. Does 2 divide l? False Let j(b) = -27*b**3 - 94*b**2 - 986*b - 33. Is j(-11) a multiple of 22? True Let s(r) = 566*r - 17. Let b be s(10). Suppose 11*g - 22*g + b = 0. Suppose -5*n + g + 187 = 0. Is 20 a factor of n? True Does 31 divide (-31*(-8 + 10))/(3 - (-5974)/(-1990))? True Let c(z) = 4*z**2 - 26*z + 23826. Does 57 divide c(0)? True Let i be 20/(-90) - (-583)/(-9). Let v = 23 - i. Suppose -4*b = 5*w - w - v, 2*b - 68 = -3*w. Is 8 a factor of w? True Suppose 15 = -3*h, 3*g = g + h + 5. Suppose 12*d + g*d - 1476 = 0. Let t = -42 + d. Is 12 a factor of t? False Let i(y) = y - 12*y**3 + 11*y**2 - 5*y + 11*y**3 + 9. Is i(6) a multiple of 33? True Suppose 0 = -0*g - 18*g + 91008. Suppose -24*a + 8*a + g = 0. Does 33 divide a? False Let h be (4 - 11)*2/(-14)*2. Suppose -x - 3 - 8 = -3*d, -h*d + 4 = x. Suppose -l + d*g + 122 = 5*g, g = 5*l - 654. Is 13 a factor of l? True Let p(f) = -f + 5. Let y be p(5). Suppose y = 42*g - 38*g - 16. Is 980/12 - 1 - g/6 a multiple of 16? True Let h = -180 - -93. Let q = 67 - h. Does 22 divide q? True Suppose 0 = 3*l + 4*a - 1106, -3*a = -l - 49 + 422. Is l a multiple of 14? False Suppose 38*p + b - 458 = 37*p, 0 = -5*b. Is p a multiple of 2? True Let t = 199 - -3052. Does 37 divide t? False Let z(b) = b + 3. Let j be z(-2). Let y be (-48 + 0)/(5/15 - j). Suppose 0*o - y = -2*f - 2*o, o + 36 = f. Is f a multiple of 36? True Suppose -34*v - 10 = -k - 35*v, -5*v = -25. Suppose 3*b - 9 = 0, 0 = -k*d - 34*b + 31*b + 5889. Is 24 a factor of d? True Let x(s) = -170*s + 120. Let u(q) = -10*q + 7. Let n(y) = -70*u(y) + 4*x(y). Is 29 a factor of n(15)? True Let b(y) be the second derivative of 41*y**3/6 + 25*y**2/2 - 56*y. Is b(7) a multiple of 24? True Let g(z) = z**2 + 4*z - 3. Let c be g(-6). Let p = -337 - c. Is (-3)/(-6) + p/(-4) a multiple of 40? False Let n be -1 + (-2 - -1) - -21. Suppose 0 = -26*h + n*h + 602. Is 10 a factor of h? False Let a(p) = p**2 - 12*p - 47. Let h be (6/(-1))/((-3)/9). Is a(h) a multiple of 2? False Is ((-3931428)/(-84) - (-20)/(-28)) + -3 a multiple of 10? False Suppose 4*d + 32 = -4*d. Does 57 divide d/6 + (-4110)/(-9)? True Suppose -5*j = 3*v - 110, v + 5*j + 100 = 5*v. Let s(h) = 15*h + 8*h - v - 35*h + 16*h. Is 14 a factor of s(17)? False Let d(j) = 2*j + 2627. Does 71 divide d(0)? True Let w(t) be the second derivative of 23/6*t**3 - 7/2*t**2 + 3*t + 0. Is 14 a factor of w(7)? True Suppose -899880 = -68*z + 863700. Is 19 a factor of z? True Let t be (-2)/12 + 161/(-6). Let b be (4 - t/12*-2)*0. Suppose -3*u + 4*x + 830 = b, -3*u + 4*x + 820 = 2*x. Does 27 divide u? True Suppose 18*w - 2*f = 22*w - 9990, -2*f - 12510 = -5*w. Is w a multiple of 161? False Let p(m) = 3*m**2 - 6*m - 19. Let q be ((-4392)/81)/(-8) - 4/(-18). Does 43 divide p(q)? True Let g be (-3)/(-3)*(-3)/3. Let o(h) = 24*h + 5. Let w be o(g). Let t(x) = -x**2 - 22*x - 23. Is t(w) a multiple of 7? False Let h(m) = 2*m**2 - 4*m + 5. Suppose w - 1 - 3 = 2*l, -4*w = -5*l - 13. Let o be h(w). Suppose 3*v = 5*f - 367, -f - o*v = f - 153. Is f a multiple of 37? True Suppose 5*l + 3*v - 17889 = -0*v, -l + 3591 = 5*v. Suppose l = 9*d - d. Is 46 a factor of d? False Let b(o) = 27*o + 38. Suppose -18 - 12 = -6*p. Is 11 a factor of b(p)? False Let f = 8454 + -4102. Does 64 divide f? True Is 40 a factor of (((-32)/(-5
{ "pile_set_name": "DM Mathematics" }
e 226752816 divided by -3. -75584272 Calculate 1411 divided by 1823. 1411/1823 Calculate 99752 divided by 2. 49876 96621 divided by -4601 -21 What is -382097375 divided by -11? 34736125 Calculate -4 divided by -16593584. 1/4148396 Divide 636 by 218614. 318/109307 Calculate 9751 divided by -77383. -9751/77383 78828 divided by 4743 26276/1581 Divide -5 by 63234804. -5/63234804 Calculate -920503 divided by 5. -920503/5 601121 divided by -10 -601121/10 Calculate 74756 divided by -11411. -74756/11411 What is -1532 divided by -1983? 1532/1983 What is -90958748 divided by -123922? 734 Calculate 19772359 divided by 4. 19772359/4 Calculate -31323 divided by -9879. 10441/3293 Divide -16667 by 20667. -16667/20667 Calculate 537441866 divided by 28286414. 19 4 divided by -138471260 -1/34617815 What is -569 divided by 3627? -569/3627 Calculate 691506 divided by 3. 230502 Calculate 144 divided by 160897. 144/160897 Calculate 505690 divided by -59. -505690/59 What is -29371520 divided by 2? -14685760 Divide 655 by 1839. 655/1839 16233912 divided by 1224 13263 Divide -7529522 by -289597. 26 Divide -35 by -74952. 35/74952 What is -146601480 divided by 10? -14660148 What is -76 divided by 1141739? -76/1141739 What is 1531288 divided by 34802? 44 Calculate 58977358 divided by -20966. -2813 Calculate 66384 divided by -72. -922 Divide -5 by 100112. -5/100112 Calculate 13115564 divided by -154. -85166 What is -2 divided by 13078682? -1/6539341 Divide 39848638 by 4. 19924319/2 Calculate -459510975 divided by -7293825. 63 Calculate 796070584 divided by -1859978. -428 -6126402 divided by 2042134 -3 Divide 7881086 by -32. -3940543/16 Divide -121052400 by 2100. -57644 Calculate 106 divided by -402652. -53/201326 Calculate 4446 divided by -70103. -4446/70103 Divide 39391988 by 9847997. 4 What is -145247700 divided by 25? -5809908 What is 14118159 divided by -363? -38893 Divide 314797 by -4772. -314797/4772 -48 divided by 31204 -12/7801 Divide -2990674 by 26. -1495337/13 What is -6652359 divided by -69? 96411 8136 divided by -944 -1017/118 Calculate -5 divided by -56947619. 5/56947619 Calculate -132 divided by 2569666. -6/116803 -1597115 divided by 99 -1597115/99 Divide 38780775 by -22275. -1741 Calculate -740084 divided by -3. 740084/3 What is 910326 divided by 19? 910326/19 -11167962 divided by -7 11167962/7 Calculate -79985334 divided by -14342. 5577 Divide -3429143 by 547. -6269 Calculate 4668353 divided by -274609. -17 181968885 divided by -25995555 -7 2 divided by -5689331 -2/5689331 Divide -11 by 3136150. -11/3136150 What is 3 divided by -5766213? -1/1922071 12703 divided by -1925 -12703/1925 -101349 divided by -3647 101349/3647 Calculate 227 divided by -1604024. -227/1604024 Divide 172063230 by -17206323. -10 Divide -1593710 by 10. -159371 Divide -2772 by 3. -924 Divide 1004292407 by 2. 1004292407/2 What is 822 divided by -3? -274 Divide 15590 by 2907. 15590/2907 What is -6525537 divided by -2175179? 3 Calculate -46643688 divided by 2268. -20566 What is 7669 divided by 1196? 7669/1196 Calculate -23324400 divided by -620. 37620 Calculate -2738282 divided by 2738282. -1 Divide 279830670 by 1862. 150285 Calculate 1677506 divided by -1677506. -1 Calculate 13393 divided by 13966. 13393/13966 Calculate 20684048 divided by 18256. 1133 Calculate -10 divided by -9387192. 5/4693596 Calculate 46828 divided by 13. 46828/13 What is -418038296 divided by -1066? 392156 What is -66918730 divided by -5? 13383746 What is 655509 divided by -182? -655509/182 Divide -3395688 by 1. -3395688 Calculate 15994726 divided by 1658. 9647 Calculate 59307250 divided by -122. -486125 What is -51 divided by 2483? -51/2483 Calculate 605775 divided by 19. 605775/19 2768 divided by 89801 2768/89801 What is -2 divided by 2041017? -2/2041017 What is 22 divided by 5543675? 22/5543675 What is 2299680 divided by 144? 15970 Divide 99164783 by -1. -99164783 Divide 20915 by 11076. 20915/11076 What is -1 divided by -280879? 1/280879 What is -76155344 divided by -31? 2456624 What is -87699 divided by 4728? -29233/1576 What is -2874720 divided by -24? 119780 What is 442212550 divided by -325? -1360654 What is -47698495 divided by 9539699? -5 Calculate 7267546 divided by -4. -3633773/2 Calculate -186544176 divided by 97616. -1911 Calculate 74296700 divided by -4. -18574175 Divide -27101768 by -229676. 118 -264740 divided by 24 -66185/6 Calculate -275073 divided by -4. 275073/4 Divide -7803900 by -5850. 1334 What is 3 divided by -16436307? -1/5478769 Divide -2206945 by 5. -441389 Calculate -112392320 divided by -151. 744320 Calculate 1242815923 divided by -4. -1242815923/4 Divide 3055732 by 1527866. 2 Divide 11998728 by 2148. 5586 Calculate -124627 divided by 277. -124627/277 Calculate -8862875 divided by 175. -50645 Calculate 1946085564 divided by 6. 324347594 Divide -15986359 by -10. 15986359/10 What is 217348 divided by 2213? 217348/2213 What is -16447755 divided by 103445? -159 Divide -24248 by 2774. -12124/1387 17996244 divided by -124 -145131 What is -400 divided by 780572? -100/195143 Divide -312155 by 2. -312155/2 What is -880 divided by 39700? -44/1985 10787400 divided by -23050 -468 What is -8485 divided by -43265? 1697/8653 Calculate 9088704 divided by -2036. -4464 Calculate 56462 divided by 5137. 56462/5137 Divide -22195603 by -79. 280957 Divide -308 by -1487794. 2/9661 Divide -2 by 33495087. -2/33495087 Calculate 17668777 divided by -5. -17668777/5 Calculate 246625632 divided by -8. -30828204 Calculate -2 divided by 51137109. -2/51137109 Divide -1 by 13869884. -1/13869884 Divide 252545804 by 406. 622034 Calculate 11862459 divided by 441. 26899 2970789 divided by -15 -990263/5 Divide -7 by -8491383. 7/8491383 Divide 3517 by 88594. 3517/88594 -264375925 divided by 25705 -10285 Divide 2965 by 121038. 2965/121038 Calculate 37869920 divided by -5. -7573984 Calculate -743 divided by 236720. -743/236720 -8684144 divided by 8 -1085518 Divide 74202291 by -8244699. -9 Divide 981 by 196. 981/196 832269 divided by -6 -277423/2 -11677237 divided by 5291 -2207 Calculate -2036 divided by 1050. -1018/525 What is 2881 divided by -10478? -2881/10478 7108712 divided by -58 -122564 What is 409979500 divided by 8199590? 50 Calculate 91661 divided by -56. -91661/56 2 divided by -3287040 -1/1643520 16512804 divided by 917378 18 What is -288382878 divided by -8786? 32823 Divide 3072132 by 7014. 438 -15 divided by 110934 -5/36978 Divide -11 by 22228417. -11/22228417 Divide 1 by -106823243. -1/106823243 4402405 divided by 880481 5 Divide -3235085 by -5. 647017 Divide -252724010 by 77. -3282130 What is 93078354 divided by -93078354? -1 Divide -14535 by -239. 14535/239 Calculate 19856597 divided by 11701. 1697 -257144 divided by 7 -257144/7 Divide 4 by -63419051. -4/63419051 Calculate 17 divided by 8257976. 17/8257976 What is -564242048 divided by -16? 35265128 -306585600 divided by 6144 -49900 What is -18759114 divided by 11979? -1566 What is 2960335 divided by 592067? 5 -5487166 divided by 2 -2743583 Divide -3198468 by -2436. 1313 -1348127700 divided by 67406385 -20 What is -7 divided by 66480630? -7/66480630 Divide 117272114 by -29. -4043866 Calculate -6709 divided by 23626. -6709/23626 Calculate 1065462188 divided by -4909964. -217 16586284 divided by -1084 -15301 Divide 2465088 by 1041. 2368 Divide -77672034 by -53273. 1458 Divide -2918 by 47921. -2918/47921 What is 34460936 divided by -4? -8615234 14871336 divided by 200964 74 Calculate 255625996 divided by 22684. 11269 -14254482 divided by 20901 -682 What is -97341779 divided by -100249? 971 49253 divided by 62 49253/62 Calculate 120267 divided by -115. -5229/5 Divide -4956 by -306. 826/51 Calculate 592266316 divided by 197. 3006428 Calculate 210172 divided by 571. 210172/571 Divide 3462375 by 230825. 15 Calculate -68785032 divided by 14632. -4701 108 divided by -93301 -108/93301 Divide -4 by -212146. 2/106073 -3 divided by 33591053 -3/33591053 Divide 13 by 13222139. 13/13222139 What is 5151000 divided by -4040? -1275 What is 113566 divided by 9? 113566/9 Calculate 14654629 divided by 17. 862037 Calculate -8480098 divided by 95282. -89 What is 277543792 divided by -4? -69385948 Calculate -385560 divided by 648. -595 Divide 2952282 by -55. -2952282/55 Divide -347396
{ "pile_set_name": "DM Mathematics" }
ve r. 177 Rearrange (-9*j + 0*j + 20*j)*(-2*j**3 + 2*j**3 + 2*j**3)*(50 - 31 - 27) to a + n*j + r*j**4 + y*j**2 + s*j**3 and give r. -176 Rearrange -282 - 28*g + 281 + 9*g - 7*g to the form l*g + r and give l. -26 Express 69 - 9136*n + 9135*n - 2 as p + r*n and give p. 67 Rearrange 2 - 2 + 178*f**2 - 7191*f + 7191*f to b*f**2 + q*f + a and give b. 178 Express -19*q**3 + 17*q**3 + 81*q**3 + (-2*q**2 - q + q)*(2*q + q - q) + q**3 - 4*q**3 + 5*q**3 in the form u*q**3 + j*q + w + o*q**2 and give u. 77 Express (n**2 - 3*n**2 - 3*n**2)*(n + 2 - 2)*(-2 + 5 + 2) - 5*n + 9*n + n**3 - 15*n in the form t*n**3 + x*n**2 + l + d*n and give t. -24 Rearrange 64*w + 47*w + 67*w + 62*w + (-4 + 0 + 3)*(1 - 1 - 2*w) - 3*w + 0*w + 5*w + 3*w - 2*w - 3*w + 2*w + 2*w - 3*w to the form r + j*w and give j. 243 Express 1186*z - 201 + 604 - 198 - 205 in the form f + v*z and give v. 1186 Express 17*t**2 - 3*t + 243*t**3 + 242*t**3 - 486*t**3 in the form j*t**3 + p*t + d + n*t**2 and give n. 17 Express ((0*m**2 + m**2 - 4*m**2)*(-148 - 19*m + 148) + m**3 - m**2 + m**2)*(-4 + 1 - 1) as v*m + y + b*m**2 + x*m**3 and give x. -232 Express -u**2 + 3 - 3 + 18*u**4 - u**3 - 444*u + 445*u - 2 as v + l*u + o*u**2 + y*u**3 + b*u**4 and give l. 1 Express -4723*b + 19 + 3*b**2 + 9443*b - 4723*b as y*b**2 + c*b + q and give y. 3 Rearrange w + 418*w**4 - 2*w**3 - 419*w**4 - 3*w to r + v*w**2 + o*w**4 + a*w + f*w**3 and give f. -2 Rearrange -3*h**2 + 2*h + 1494*h**3 - 1490*h**3 - h**4 - 15 + 4*h**2 to the form q*h**4 + s + g*h + z*h**3 + k*h**2 and give z. 4 Express 2*m**2 - m**3 + 9*m - 2 + 8*m - 19*m in the form z*m + l*m**3 + d + s*m**2 and give d. -2 Express -4*l - 6*l**2 - 2*l**4 - 7*l**2 + 31*l**2 + 4 - 16*l**2 as u*l + z + t*l**3 + o*l**2 + m*l**4 and give m. -2 Express 158*m + 188*m - 14*m + 65*m in the form r*m + i and give i. 0 Express -267*j + 852*j + 660*j - 260*j in the form z*j + b and give z. 985 Rearrange 1 + 5 - 5*z**4 + 2*z - 4 + 8 + 0*z to n*z**4 + i*z + k + w*z**3 + a*z**2 and give k. 10 Express -1779*b**2 - 1784*b**2 + 37*b**3 + 3563*b**2 - 8*b**4 + 1 as n + v*b + q*b**2 + y*b**4 + k*b**3 and give y. -8 Express 35*n**2 + 124 - 4*n + 2*n - 124 in the form d*n**2 + h + t*n and give t. -2 Rearrange (-2*y - 2*y + 2*y)*(1 - 4 + 5)*(1445 - 820 - 773)*(2 - 3 + 3) to the form w + n*y and give n. 1184 Express (-1205*v - 200 - 228 + 1206*v)*(-v + v - v**2) in the form z*v**2 + j*v + o*v**3 + w and give j. 0 Express -14*s + s + 3*s + 16 as v + c*s and give v. 16 Rearrange (2*b - 5*b + 2*b)*(-b**2 - 7*b**2 + 4*b**2) + (-10*b**3 - 2*b**3 - 5*b**3)*(2 + 1 - 2) to f*b**2 + t*b**3 + l*b + q and give t. -13 Rearrange 25 - 2*a**3 + 9*a**2 + a**3 - 101 + 0*a**3 - 11*a**2 to the form b*a**2 + f + u*a + m*a**3 and give m. -1 Rearrange -3 + 6*z**2 - 64*z - 2*z**2 + 57*z to the form o*z + j*z**2 + y and give j. 4 Rearrange -14*l**2 + l**3 - 6*l**2 + 12*l**2 + 3*l + 8*l**2 + 23 to z*l**2 + v*l**3 + j*l + i and give i. 23 Express -2*u**3 - 216*u + 2*u**4 + 0 + 203*u - 3 in the form a*u**2 + g*u**4 + l*u**3 + o + t*u and give l. -2 Rearrange 144 + d**2 - 327 - 211 to the form f + q*d + t*d**2 and give f. -394 Express (5*d**2 - 5*d**2 + 4*d**2 + (0*d - 6*d + 0*d)*(3*d - 6*d + 2*d))*(-10*d - 17 + 17) in the form x*d + z*d**3 + k*d**2 + n and give z. -100 Rearrange 4*g - 3*g - 5*g + (-2 - 6 - 2)*(-3 + 48*g + 0*g + 3) to x + p*g and give p. -484 Express -13*f**2 + 21*f**4 + 13*f**2 + (-4*f**2 - 2*f**2 - f**2)*(-3*f**2 - 2*f**2 + 6*f**2) as u + w*f**2 + n*f**4 + c*f + o*f**3 and give n. 14 Rearrange -u**3 + 32 - 3*u**4 + 3*u**3 + 7*u - 4*u**3 - 32 to w + o*u + y*u**3 + a*u**4 + p*u**2 and give o. 7 Express 98*p**2 - 24*p**2 - 150*p**2 - 26*p**2 - 142*p**2 as f + c*p + j*p**2 and give c. 0 Rearrange ((u**2 - 4*u**2 + u**2)*(-2*u - 2*u + 3*u) + 1012*u**3 - 2*u - 372*u**3 - 469*u**3)*(-2*u - 2 + 2) to g*u**2 + r*u + k + m*u**4 + z*u**3 and give m. -346 Express -24*k**2 + 31*k**2 - 3 + 9*k - 5*k**2 in the form p*k + h + v*k**2 and give h. -3 Express 0*r**3 - r + 6 + 22*r**4 + 0*r**3 + 2*r**2 + 2*r**3 - 2 - 3 in the form k*r**4 + b*r + w*r**3 + u + s*r**2 and give u. 1 Express (8 - 8 - 2*v)*(0 + 2 + 0) + 2*v - 3 + 3 + (2 + 2 - 2)*(-v + v + 2*v) + (0*v - v - v)*(5 + 9 + 2) as p + n*v and give n. -30 Rearrange (-25 + 25 - 25*y - y**2)*(-1 - 2*y + 1 + (-1 + 1 + 1)*(-2*y + 0*y + 4*y) - 3*y + 4*y + 0*y) to v*y + x + s*y**3 + n*y**2 and give s. -1 Rearrange 284*z**2 - 573*z**2 + 296*z**2 - 191 to c + p*z**2 + t*z and give p. 7 Rearrange (0 + 2 - 3 + (0 - 2 + 5)*(-4 + 3 - 2))*(-5*z**2 - z**4 + 5*z**2) to the form d*z**4 + s*z**3 + g + h*z + o*z**2 and give d. 10 Express -1 - 9083*m**2 + 9083*m**2 + 86*m**3 as h*m**2 + z*m + j + v*m**3 and give v. 86 Express (-8 + 8 + 2*g)*(1 - 2 + 0)*(-211 + 211 + 61*g**2) as a*g**3 + m + s*g**2 + f*g and give m. 0 Rearrange 5*z + z**2 + 7*z**3 + z**3 - 5*z to the form a*z**2 + n + y*z**3 + j*z and give y. 8 Rearrange (3 - n**2 - 3)*(-13*n - 29841 - 7*n + 29832) to the form d*n**2 + h + w*n**3 + u*n and give d. 9 Express (-43 - 9*n + 43)*(-3 + 1 - 1)*(n + 2*n - 2*n)*(-n - 3*n**2 + 5*n + 2*n**2) as j*n**3 + f*n**4 + h*n**2 + l*n + r and give f. -27 Express 0*c + 77*c - 333*c as o + v*c and give v. -256 Express 32631*m - 18 - 32631*m - 2*m**2 as l*m**2 + n*m + z and give n. 0 Express 4*w**2 + 2*w**3 + 186 - 187 + 5*w - w**4 - 5*w as u*w**3 + x*w**4 + m*w**2 + r*w + k and give x. -1 Rearrange (4*v - 3 + 3)*(-2 + 6 - 5)*(0 + 0 - v) to t + r*v + c*v**2 and give c. 4 Express (-13*c**2 + 84*c - 84*c)*(3 - 6 + 1)*(-4*c + 6*c + 2*c) as b*c + q + y*c**3 + i*c**2 and give q. 0 Rearrange 2*f + 3*f**3 + 2*f**4 - 3 - 4*f**4 + 5*f**4 - 4*f**2 + 1 to n*f**2 + b*f + a + j*f**3 + r*f**4 and give n. -4 Express 2*o - 8*o + 0*o + (-3 + 1 + 3)*(o - 5*o + o) + 2*o - 12*o - 3*o in the form p + a*o and give a. -22 Express (4 - 4 + 2)*(-3 - 2*v + 3) - 1 + 1 + v + 0 + v + 0 - 4*v + 3*v + 2*v + 202 - 202 + v + (-1 + 1 - 1)*(-v - 5 + 5) as p*v + b and give p. 1 Express 4149*a - 1 - 3841*a + 1 as o*a + n and give o. 308 Rearrange -l**2 + l**2 - 3 - l**3 - 4*l - 27267*l**4 + 27266*l**4 to j*l + h*l**3 + r*l**2 + z*l**4 + f and give h. -1 Rearrange (-2*w + 0*w + 0*w)*(-2*w - 2*w + 6*w) + (w - 6*w + 2*w)*(-1 - 2*w + 1) + 4*w**2 + 4*w**2 - 5*w**2 to the form b*w + i + h*w**2 and give h. 5 Express -301*o + 301*o + 442*o**2 in the form x*o + p*o**2 + s and give x. 0 Rearrange -42*b**2 - 2*b**3 + 0*b**3 + 128*b**2 - 3*b - 3 - 42*b**2 - 38*b**2 to p + r*b**2 + a*b**3 + u*b and give a. -2 Express 422*g**2 - 1164*g**2 + 566*g**2 as j + c*g + k*g**2 and give k. -176 Rearrange (-6*r - 3*r + 0*r)*(-r**2 + 0*r**2 + 0*r**2 + (-r + 2 - 2)*(-r - 4*r - 4*r) - 3*r**2 + r**2 + r**2) to s*r**2 + j + q*r**3 + w*r and give q. -63 Rearrange 12*u + 280*u**2 - 145*u**2 + 1 - 136*u**2 to v*u + y + o*u**2 and give y. 1 Express s**4 + 8*s**3 + 3*s**4 - 41*s + 80*s + 2*s**2 - 42*s + 0*s**4 as z*s**4 + r*s + g*s**3 + u*s**2 + o and give r. -3 Rearrange -15*f**2 - 1 - 34*f + 17*f + 17*f to h*f + b + l*f**2 and give b. -1 Rearrange 1630*x + 257*x + 221*x - 21*x to the form z + d*x and give d. 2087 Express 5*j + 2*j - 4*j + (-2*j - j + 2*j)*(3 + 2 - 6) + (2 - 4 + 1)*(j + 0*j - 3*j) - 1 + j - 9*j + 7*j in the form l + b*j and give l. -1 Rearrange -2*b + 7*b + 17 - 2*b + 4 to z + v*b and give v. 3 Express (-18*a - 3571 + 3571)*((-2*a**2 + 0*a**2 + 0*a**2)*(0*a - 4*a + 2*a) - 8 + 4 - 3*a**3 + 7) as w + p*a**3 + m*a**4 + g*a**2 + k*a and give k. -54 Rearrange -2 + 16*c + 14*c + 7*c**2 + 4*c**3 + 2*c**4 - 42*c + 11*c to the form y*c**3 + t + r*c**4 + g*c + l*c**2 and give l. 7 Rearrange 4*m**3 - 2*m**4 - m + 1 - m**2 + 0*m**3 + 3*m**3 to the form o*m + h*m**3 + i + x*m**2 + p*m**4 and give p. -2 Rearrange 623*b - 1258*b - 2 + 636*b - 16*b**2 to s*b + m + u*b**2 and give s. 1 Express (-2*r**3 - r**3 + 0*r**3)*(123*r + 17*r + 347*r) in the form h*r + u*r**2 + q*r**4 + y + t*r**3 and give q. -1461 Express (-27 - 35 - 430)*(-r + 2*r + r) in the form n + s*r and give s. -984 Express 63*q**2 - 6*q**2 + 42*q**2 in the form m*q + o*q**2 + n and give o. 99 Rearrange -2*s**4 - 2*s**2 + 2*s**2 + 17*s**3 - 20*s**3 + s**4 + 33*s to the form z + k*s**2 + m*s**4 + v*s**3 + x*s and give m. -1 Rearrange (3*x + x - 3*x)*(-1 - 1 + 0) + 8 + 5*x - 12 + x to t
{ "pile_set_name": "DM Mathematics" }
spect to g. -6*c**2*g**2 + 17*c**2 Find the third derivative of -2*h**4 - 101*h**3*z + 121*h**2 + 2*h*z + z wrt h. -48*h - 606*z What is the third derivative of 540*f**3*i**3 - 437*f**2*i**3 + f**2*i**2 wrt f? 3240*i**3 Differentiate 1056*j**2 - 848 wrt j. 2112*j Find the second derivative of -1665*c**3 + 2140*c wrt c. -9990*c What is the third derivative of -1939*m**3 - 325*m**2 - 2? -11634 What is the derivative of -73*q + 383? -73 Find the third derivative of -2*k**5 - 2*k**3 + 202*k**2 wrt k. -120*k**2 - 12 Find the second derivative of 2*b*l - 199*b*m**4 + 2*b*m**2 - 5*b - 2*l*m**3 - 3*l*m - l + 7*m wrt m. -2388*b*m**2 + 4*b - 12*l*m What is the first derivative of 94*h**4 + 100 wrt h? 376*h**3 Find the first derivative of -2*c**4*q**3 - 11*c + 256*q**3 wrt c. -8*c**3*q**3 - 11 Find the third derivative of 2*w**5 + 1644*w**4 - 9*w**2 - 47*w. 120*w**2 + 39456*w Find the second derivative of -2*k**3*m*t + k**3*t**3 + 97*k**2*m*t**3 + 6*k**2*m*t + 2*k**2 - 2*k + 7*m*t**2 + 2*m*t wrt t. 6*k**3*t + 582*k**2*m*t + 14*m Find the third derivative of 5*q**4 + 21*q**3 - 1115*q**2. 120*q + 126 What is the third derivative of 27*j**4*w**2 + j**4 + 48*j**3 - 467*j**2*w**2 - 2*j**2*w + 3*j**2 - 2*j*w**2 wrt j? 648*j*w**2 + 24*j + 288 Find the third derivative of d**3*k**3 + d**3*k**2 + 3*d**2 - 117*d*k**5 - 2*d*k - 171*k**2 wrt k. 6*d**3 - 7020*d*k**2 What is the first derivative of -2184*b**2 - 2*b - 807? -4368*b - 2 What is the derivative of 4*f**2*i*k*u**2 + 14*f**2*i + f**2 - 9*f*u**2 - 484*i*k*u**2 wrt k? 4*f**2*i*u**2 - 484*i*u**2 What is the second derivative of 4*s**4 - 445*s**2 - 1340*s wrt s? 48*s**2 - 890 What is the second derivative of -c**3*g**3 - 3*c**3 - 67*c**2 + 2258*c*g**3 wrt c? -6*c*g**3 - 18*c - 134 Find the first derivative of -16*i**2*w**2 + 20*i**2 - i*w**2 + i wrt w. -32*i**2*w - 2*i*w What is the third derivative of -360*k**4 - k**3*n + 52*k**2*n + 2 wrt k? -8640*k - 6*n What is the second derivative of 2*a**4 - 177*a**3 - 6*a**2 - 3678*a wrt a? 24*a**2 - 1062*a - 12 What is the second derivative of 216*k**2 - 62*k? 432 Find the third derivative of 2*b**3*o**2*t**2 - 13*b**3*o*t**3 - b**2*o**2 - 4*b**2*t**3 - 2*b*t**3 wrt b. 12*o**2*t**2 - 78*o*t**3 What is the second derivative of -19*l*n**2*w**3 + l*n*s*w**2 - n**2*s*w**3 - 2*n**2 + 2*n*s*w**2 + 31*s*w + w**3 wrt n? -38*l*w**3 - 2*s*w**3 - 4 What is the derivative of -3*c**3 + 228*c**2 + 624 wrt c? -9*c**2 + 456*c Find the first derivative of -3074*l**4 - 2*l**3 - l + 3485 wrt l. -12296*l**3 - 6*l**2 - 1 What is the first derivative of 2*i**3 + 15*i**2 - 193? 6*i**2 + 30*i What is the second derivative of -13*f**3*g**2 + 4*f**3 + f**2*g - 7*f*g**2 - 8 wrt g? -26*f**3 - 14*f What is the second derivative of 20586*j**2*y - j*y - 6035*y - 1 wrt j? 41172*y What is the derivative of j**3*s + 2*j**3 - 72*j**2 - 164*j*s**4 wrt s? j**3 - 656*j*s**3 Find the third derivative of 280*f**3*s**2 - 5*f**2*s - 3*s**2 + 7*s wrt f. 1680*s**2 What is the third derivative of -534*h**5 + 452*h**2 wrt h? -32040*h**2 What is the derivative of 7*g**3 + 5*g**2 + g - 3188 wrt g? 21*g**2 + 10*g + 1 What is the third derivative of 203*o**3 + 1095*o**2? 1218 Find the first derivative of -11*b*i - 278*b*n - 5*i*n wrt i. -11*b - 5*n Differentiate 1867*o**2 + 562. 3734*o Find the third derivative of -5107*s**3 + 20892*s**2. -30642 What is the second derivative of 4*b**2*n**3*v**2 - 5*b**2*n**3 + 43*b**2*n*v**2 - 96*b**2*n*v + b**2*n - 2 wrt v? 8*b**2*n**3 + 86*b**2*n What is the second derivative of 2*i*n**3*t*x**2 + 11*i*n**2*t*x + 2*i*n**2*t - 5*i*n - 2*i*t*x**2 - 2*n**3*t*x - 2*n*t*x wrt x? 4*i*n**3*t - 4*i*t Find the second derivative of 2*c**3 - 16*c**2 + 248*c wrt c. 12*c - 32 Find the third derivative of -c**3*k**6 + 5659*c**3*k**4 - 2*c**3*k**2 - c**3*k + 134*c**3 - 4*c**2*k**2 wrt k. -120*c**3*k**3 + 135816*c**3*k Find the third derivative of -178*j**4 + 2768*j**2 wrt j. -4272*j Differentiate -764*m + 1271. -764 Find the second derivative of -3*h**2*l*y + 2*h**2*l + 7*h**2*y**3 - 3*h**2 + 2*h*l*y**3 + 4*l*y**3 + l*y wrt y. 42*h**2*y + 12*h*l*y + 24*l*y Find the third derivative of 3330*a**4 + 224*a**2 - 4*a. 79920*a What is the third derivative of -585*z**5 - 1170*z**2? -35100*z**2 What is the second derivative of 663*f**4*t + 4*f + 202*t wrt f? 7956*f**2*t What is the third derivative of -3*p**5*u - 2*p**4*u + 18*p**3*u - 1628*p**2*u + p**2 wrt p? -180*p**2*u - 48*p*u + 108*u Differentiate h*k*x - h*k - 419*h + 29*k*x + 2*x wrt k. h*x - h + 29*x What is the third derivative of -1728*x**3 - 3*x**2 - 123 wrt x? -10368 Find the third derivative of -9*s**4 - 358*s**3 + 350*s**2 - 1 wrt s. -216*s - 2148 What is the derivative of o*r*t**2 - 827*o*r*t - o*t**2 + 367 wrt r? o*t**2 - 827*o*t Differentiate -24142*z**2 - 20894 with respect to z. -48284*z What is the third derivative of 317*x**3 + 186*x**2? 1902 Differentiate -13*d*j**3*r**3 - 20*d*j*r**2 + 5*d - 17*r**3 wrt j. -39*d*j**2*r**3 - 20*d*r**2 Differentiate -3*c*s**3*w - 124*c*s**3 + c*s**2*w + s**3 + 19*s*w with respect to w. -3*c*s**3 + c*s**2 + 19*s What is the second derivative of m**4 - 35*m**3 - 129*m wrt m? 12*m**2 - 210*m What is the second derivative of 2*x**3 - 1366*x**2 - 1117*x wrt x? 12*x - 2732 Differentiate 5*f**4*v + 3*f**2*n*v**2 + 2*f*n*v + 78*n*v**2 - 23*v wrt f. 20*f**3*v + 6*f*n*v**2 + 2*n*v What is the second derivative of -3018*h**2*p**2 - 2*h**2*p - 2778*p wrt p? -6036*h**2 What is the third derivative of d**6*n**3 - 7*d**3*n**3 + 11*d**2*n**2 + d*n**2 - n**3 wrt d? 120*d**3*n**3 - 42*n**3 Find the second derivative of 65*s**3 - 2*s**2 + 17*s - 6. 390*s - 4 What is the first derivative of -w**4 - 908*w**3 - 6586 wrt w? -4*w**3 - 2724*w**2 Find the second derivative of -77*g**3 + 15*g**2 + 15*g - 134 wrt g. -462*g + 30 Find the third derivative of -11*c*q*x**3*y**3 - c*q*x**3*y**2 + 3*c*q*x*y - 9*c*x**2*y**2 + 8*c*y**3 + 2*c - 5*q*x**2*y - 5*q*x*y**3 wrt y. -66*c*q*x**3 + 48*c - 30*q*x Find the third derivative of 7262*r**4 - 929*r**2 - 3 wrt r. 174288*r Differentiate 50*b**2*k + 4*b**2 + 245*b + 20*k with respect to k. 50*b**2 + 20 Find the second derivative of -103*m**5*r**2 + 8*m**4*r**3 + m - 6*r**3 + 22*r wrt m. -2060*m**3*r**2 + 96*m**2*r**3 What is the derivative of -302*v**2 + 11 wrt v? -604*v Find the second derivative of i**2*z**3 + 24*i**2*z**2 + 2*i**2*z - 4*i*z**2 - 81*z wrt z. 6*i**2*z + 48*i**2 - 8*i Find the second derivative of 20*c**3*k**2*n**2 - 9*c**3*k**2 - 4*c*k**2*m*n**2 + c*k - k*m*n - 2*k*n wrt n. 40*c**3*k**2 - 8*c*k**2*m Find the second derivative of 15*k**2*o*q**2 - 2*k**2*o*q - 24*k**2*o - 7*k**2 + k*o*q + k*q**2 + 11*o*q**2 - 17*q**2 - q wrt k. 30*o*q**2 - 4*o*q - 48*o - 14 Find the second derivative of 324*s**2*u**3 - 8*s**2*u**2 + s**2*u - 312*s*u**2 - 4*u**3 + u**2 wrt s. 648*u**3 - 16*u**2 + 2*u Find the second derivative of 2*l**3*v**3 - 127*l**3*v**2 + 4*l**3*v + 27*l**2*v wrt v. 12*l**3*v - 254*l**3 Find the first derivative of -a**2*g*q - 6*a**2 - a*g*q**3 + a*g*q**2 + g - 11 wrt q. -a**2*g - 3*a*g*q**2 + 2*a*g*q What is the derivative of 2*m*u + m*w + 16*m - 8*u**4*w - 61*u*w + 8*w - 5 wrt u? 2*m - 32*u**3*w - 61*w What is the second derivative of -212*y**3 + y**2 + 1323*y + 5? -1272*y + 2 What is the first derivative of k*r**2 - 22*k*r*u + 68*k*u - r**2*u + r*u wrt r? 2*k*r - 22*k*u - 2*r*u + u What is the derivative of 660*g*h**2 - 6*g - 7 wrt h? 1320*g*h Find the third derivative of 30*h**3*m**3*u**2 - 23*h**3*m**2*u**3 + 61*h**3*m**2*u**2 + h**2*m**2*u**2 + h**2*m**2 - 150*m**3*u**3 wrt m. 180*h**3*u**2 - 900*u**3 What is the first derivative of -22*i**3*k + 242*i**3 + 5494*k wrt i? -66*i**2*k + 726*i**2 Find the third derivative of 823*t**3 - t**2 + 231 wrt t. 4938 What is the derivative of -s**2 + 32*s - 48 wrt s? -2*s + 32 Find the first derivative of 17984*b**4 - 11906. 71936*b**3 Differentiate -9*b*l*o**2 - b*l - 4*b*o**2*q**3 - 29*b*o**2*q - 2*b*o + 11*l*o*q**3 wrt l. -9*b*o**2 - b + 11*o*q**3 What is the derivative of 38*o**2*z + 578*o**2 wrt z? 38*o**2 What is the derivative of -2203*l**4 - 2899 wrt l? -8812*l**3 What is the second derivative of -4*u**4 + u**3 - 46*u - 2? -48*u**2 + 6*u What is the second derivative of 22*a**2*i**4 - 87*a**2*i - a**2 - a*i**5 + a*i w
{ "pile_set_name": "DM Mathematics" }
nd the common denominator of 34/11 and 29*4/(-32)*v. 22 Suppose -4*p - 1 = 39. Let f be -3 + 1*1*p. What is the least common multiple of ((-4)/(-10))/(f/(-130)) and 7? 28 Let j be (1/132)/(1/(-18118)). Let i = j - -1288/11. What is the common denominator of 4/18 + 17/126 and i? 42 Calculate the smallest common multiple of ((-665)/(-76))/((-3)/(-60)) and 25. 175 Suppose m = -3*z + 160, 3*m - 2*m - 264 = -5*z. Let w = z - 34. Calculate the least common multiple of 12 and w. 36 Suppose -2*a + 2*c + 34 - 12 = 0, 0 = 2*a + 4*c - 4. Calculate the common denominator of a and -17/341. 341 Let o(p) = 10*p**3 + 2*p**2 - p. Let n be o(1). Suppose 4*s = n - 3. Calculate the smallest common multiple of 16 and s. 16 Let f be 20/(-10820)*4*1. Let l = 16783/1623 + f. What is the common denominator of l and -67/3? 3 Let p(x) = x**2 + 12*x - 12. Let l be p(-14). Suppose -l*h = -24 - 56. Calculate the least common multiple of 18 and h. 90 Let x(v) = -2*v**2 + 50*v + 2. What is the least common multiple of x(25) and 2? 2 Calculate the common denominator of 4/30 - (-417)/(-973) and 103/120. 840 Suppose 0 = 3*q - f - 94 + 455, 4*q + 483 = 3*f. Let y = 159 + q. What is the smallest common multiple of y and 4? 156 Let a = -189037/39534 + 16/1797. Calculate the common denominator of a and 56/33. 66 Let r = 93 - 117. Find the common denominator of 4/r + (-447)/198 and -64/9. 99 Suppose 11*c = 13*c - 70. Let m = 44 - c. What is the least common multiple of m and 6? 18 Let j = -1/2594 - 16855/15564. Suppose 0 = -4*z - 3*i - 47, 5*i - 13 = 2. What is the common denominator of j and ((-202)/(-28))/(12/z)? 12 Let d = -957 + 4731/5. Find the common denominator of -24/55 and d. 55 Let l(j) = -j + 2. Let h be l(3). Let p be (12/8)/(h/(-2)). Suppose k = -p*n - 47, 3*k - 5*n = -49 - 22. What is the common denominator of 83/10 and k? 10 Let j = 113 + -107. Suppose 2*y - 18 + j = 0. Calculate the smallest common multiple of y and 22. 66 Suppose -1394 = -24*b + 9262. Calculate the lowest common multiple of 185 and b. 2220 Find the common denominator of -25/96 and 0 - (-3 + (-22)/24). 96 Suppose -8*f - 41 = -137. Calculate the least common multiple of f and 20. 60 Let n = 19405/84 - 231. Find the common denominator of n and 9/44. 924 Let b = -2/3593 + 68355/158092. Calculate the common denominator of ((-66)/14)/((-8)/14) and b. 44 Suppose 0 = -5*h - 0*h + 30. Let l(z) = -z**3 + 4*z**2 - 2*z - 1. Let c = -7 + 9. What is the lowest common multiple of h and l(c)? 6 Let i(v) = -14*v - 14. Let k be i(11). Let n = 677 - 5461/8. Calculate the common denominator of n and (28/k)/((-4)/147). 8 Let r be (1/3 + 0)/(11/(-33)). Find the common denominator of ((-159)/(-24) + -3)/(r/6) and 38/(-22) + -2 - -2. 44 Suppose -5*j + 11 = 1. Let x be (-1)/j*-1*2. What is the common denominator of (x/6)/(2/(-183)) and 11/7? 28 Let z = -112649/12245 - 1/2449. Let k = 256/369 + -3451543/1476. Let h = -2320 - k. Calculate the common denominator of z and h. 20 Let h be ((-1796)/632*30)/(-22). Let g = h - 9/158. What is the common denominator of g and 23/8? 88 Let j = -992 - -1010. Suppose -2*h = h + 3, -h + 39 = 4*k. What is the least common multiple of j and k? 90 Let g be ((-25143)/18)/(274/6). Let f = -18800 + 2575588/137. Let u = f - g. Calculate the common denominator of u and -71/8. 8 What is the lowest common multiple of 212/18 + (-22)/(-99) and (-104)/(-10) + 6/(-15)? 60 Suppose b - 5*n + 6*n - 14 = 0, -b = 3*n - 18. What is the least common multiple of b and 36? 36 Let i be (135/(-50))/(34656/17870). Let m = 3970333/612256 - i. Let o = -2/1007 + m. Find the common denominator of -31/8 and o. 8 Let m = 472189/546 - 6052/7. Calculate the common denominator of m and -43/20. 780 Let s = 138914/135 - 27496/27. Let z = 2299/180 - s. Calculate the common denominator of 67/14 and z. 140 Let g(b) = -b**2 + 60. Let s be g(0). Find the common denominator of 2/2*(-6)/12*43 and (-194)/s - (-2)/5. 6 Let c(v) = -2 - 3 - 15 - 2*v. What is the smallest common multiple of c(-12) and 4? 4 Let j = 18786332500/749 + -25081881. Let g = 1/107 + j. Find the common denominator of g and -31/10. 70 Let d(j) = 2*j**3 - 8*j**2 + j + 10. Let g(o) = 5*o**3 - 24*o**2 + 3*o + 29. Let r(v) = 8*d(v) - 3*g(v). What is the smallest common multiple of r(-8) and 8? 8 Suppose -14 + 2 = -3*v. What is the least common multiple of v and 986/51 - (-8)/(-6)? 36 Suppose f - 44 = -2*q + 31, 5*f - 135 = -4*q. Calculate the least common multiple of 45 and q. 360 Find the common denominator of 65/24 and (-703)/104 + (6 - 7/(-7)). 312 Let s = -206 + 300. Calculate the lowest common multiple of 9 and s. 846 Let m(a) = a**2 - a - 14. Let b be m(0). Let c = 20 + b. What is the common denominator of (536/(-24))/(28/c) and 67/14? 14 What is the common denominator of (-86)/387*426/(-20) and 37/90? 90 Let q = -26 + 20. Let t(o) = o + 13. Calculate the smallest common multiple of t(q) and 3. 21 Suppose 3*r + 6 + 0 = 0. What is the least common multiple of 36 and (-366)/(-42) - r/7? 36 Let f(m) = m + 2. Let c be f(0). Suppose 4*h + 532 = c*h - 2*r, 0 = h + 5*r + 270. Find the common denominator of 79/16 and (-6)/4*h/120. 16 Calculate the common denominator of 5/4 and 1/5 - 481/(-2990). 460 Let d be 3/(-2)*22 - -3. Let i = 3541/42 - 463/7. Calculate the common denominator of (9/(-6))/((-4)/d) and i. 12 Let h = 3395/8 + -92197/216. Calculate the common denominator of h and -101/18. 54 Find the common denominator of -26/9 and 38/(-3)*30/(-105). 63 Suppose -3*v = 4 + 2, -f + 5*v = -14. Suppose -f*o = -0*o - 324. What is the common denominator of 37/4 and (1 - o)*6/(-165)? 44 Suppose 3*k - 43012 = -5*q - 2016, 5*k + q = 68334. Let d = -25674503 + 359251789/14. Let y = k + d. Find the common denominator of -109/6 and y. 42 Let y = -2377 + 125957/53. Calculate the common denominator of y and -29/11. 583 Let a = 109030647/2093 + -52093. Let m = a + 203025/4186. Calculate the common denominator of m and 133/6. 6 Suppose 5*q - 394 = -2*o, 3*q - 207 - 42 = 3*o. Calculate the lowest common multiple of q and 20. 80 Let m = 55/27 + 803/189. Let o = -2187 - -24095/11. Find the common denominator of m and o. 77 Let a = 1076683 - 135548767/126. Let y be 48/(-112)*(2 + 151*14). Let w = a + y. Find the common denominator of w and -73/6. 18 Let y = 8 + -27. Let z = y + 22. Let o(l) = -l**3 - 7*l**2 + 8. Calculate the least common multiple of z and o(-7). 24 Let z(p) be the third derivative of -p**4/8 - 23*p**3/6 + 4*p**2. Calculate the least common multiple of 2 and z(-8). 2 Suppose -3*u = g - 21, 45*g = 41*g + 2*u + 56. Calculate the least common multiple of 87 and g. 435 Suppose 0 + 6 = 2*o. Suppose -2*z + 66 = g + 3*g, -g + o*z = 1. Suppose -49 = -5*c + 21. What is the smallest common multiple of c and g? 14 Find the common denominator of (-2)/(-12)*(447/24 + 8) and 31/22. 176 Find the common denominator of 51/50 and (-44)/11 + -21*148/(-360). 150 Let t = -38821/4758 + -6/793. Find the common denominator of t and 303/(-36)*6/32. 192 Let z = -8939/36 - -248. Find the common denominator of 41/68 and z. 612 Let s = -169883/24 - -7075. Calculate the common denominator of 16/135 and s. 1080 What is the common denominator of -77/8 and (-45)/390*(-2 + 71/6)? 104 Let l be (1 - 5/10)/((-9)/489). Let c = l - -1463/54. What is the common denominator of 46/33 and c? 297 Suppose 18 = -n + 2*n + 5*c, -4*c = -16. Calculate the common denominator of (-3 - n)*(-46)/12 and (-399)/18*1/(-1). 6 Let t(j) = j**3 + 4*j**2 - 14*j - 6. Let y be t(-6). Calculate the least common multiple of 1 and ((-12)/11)/y - (-90)/11. 8 Let k = 62 + -10. Calculate the smallest common multiple of 20 and 512/k - (-3 + 37/13). 20 Let m(x) = -5*x + 3*x - 57*x**2 - 4 - x**3 + 50*x**2. What is the least common multiple of 112 and m(-7)? 560 Let m = 266 + -210. Calculate the smallest common multiple of 63 and m. 504 Suppose 0 = -3*n + 2*h + 26, -5*h + 13 + 27 = 3*n. Calculate the common denominator of 143/18 and (142/(-15))/(8/n). 18 Suppose -2*j + 4*j - 31 = -g, -25 = 5*g. Suppose -21*y = -41 - 274. What is the least common multiple of y and j? 90 Let p = 325 + -182. Calculate the least common multiple of 44 and p. 572 Let x = 2073 - 389731/188. Find the common denominator of x and -81/4. 188 Let x be (30/6)/(-5) + 3
{ "pile_set_name": "DM Mathematics" }
r of 40/10573 and 73/218. 21146 Calculate the least common multiple of 588 and 3576. 175224 Find the common denominator of 179/757650 and -62/378825. 757650 Calculate the common denominator of -37/554750 and -1/5706. 4992750 What is the smallest common multiple of 84920 and 42460? 84920 Find the common denominator of -26/7 and 2/15481. 108367 Calculate the common denominator of -89/40 and 61/3600. 3600 Calculate the least common multiple of 207480 and 3900. 1037400 Calculate the common denominator of -109/5856 and 35/13908. 111264 What is the lowest common multiple of 1742 and 110617? 221234 What is the common denominator of 49/360 and -5/46134? 922680 What is the common denominator of 23/188 and -45/3854? 7708 What is the common denominator of -149/27756 and 107/49344? 444096 Find the common denominator of -11/187255 and -8/165225. 2808825 Calculate the common denominator of 97/10138 and 23/1370. 50690 What is the lowest common multiple of 90104 and 14? 90104 What is the common denominator of 70/80901 and -79/414? 3721446 Find the common denominator of -42/7603 and -31/116. 881948 Calculate the least common multiple of 138 and 16284. 16284 Find the common denominator of 107/420 and 37/298680. 2090760 Find the common denominator of -62/6435 and -113/23400. 257400 Calculate the common denominator of -95/3628 and -18/104305. 417220 What is the common denominator of 17/3 and 44/2107047? 2107047 Calculate the least common multiple of 45 and 72. 360 Calculate the lowest common multiple of 153 and 210511. 1894599 Calculate the common denominator of -169/98010 and 163/39204. 196020 Find the common denominator of -67/1452 and 49/52. 18876 Calculate the smallest common multiple of 4868 and 64. 77888 Find the common denominator of 43/108548 and 121/24. 651288 What is the common denominator of 89/108652 and 87/9448? 217304 Calculate the least common multiple of 3 and 67302. 67302 Calculate the smallest common multiple of 5208 and 16. 10416 Calculate the common denominator of -37/404 and 1/750. 151500 Calculate the least common multiple of 8 and 52428. 104856 Find the common denominator of -68/2995263 and 37/18. 5990526 What is the common denominator of -5/106 and 81/31336? 1660808 Find the common denominator of 19/39658 and 43/1738. 436238 What is the lowest common multiple of 4 and 23316? 23316 What is the least common multiple of 383743 and 4252? 1534972 What is the lowest common multiple of 715275 and 200? 5722200 Calculate the common denominator of 14/67807 and -113/1627368. 1627368 Calculate the lowest common multiple of 19560 and 52160. 156480 What is the common denominator of -61/57 and 203/28380? 539220 Find the common denominator of 18/21025 and -99/134. 2817350 What is the common denominator of 89/188 and 5/3108? 146076 Find the common denominator of 41/415 and 127/130. 10790 What is the lowest common multiple of 1216 and 82? 49856 What is the common denominator of 101/480 and 109/1520? 9120 What is the common denominator of -41/98475 and -31/4875? 492375 Calculate the lowest common multiple of 856 and 6920. 740440 Calculate the common denominator of 5/3206 and 41/462. 105798 Find the common denominator of 101/310730 and -1/20. 621460 What is the least common multiple of 4269024 and 8? 4269024 Find the common denominator of -109/2316 and -67/5358. 2068188 Calculate the common denominator of 71/204 and -76/765. 3060 Calculate the smallest common multiple of 191395 and 382790. 382790 What is the common denominator of 7/8 and 47/7086? 28344 What is the smallest common multiple of 81156 and 11? 892716 Calculate the lowest common multiple of 242193 and 210. 2421930 Calculate the smallest common multiple of 534 and 215024. 645072 Find the common denominator of -83/10620 and -167/1770. 10620 Find the common denominator of -97/1610598 and -16/345. 8052990 Calculate the common denominator of -43/686466 and -161/198. 686466 Calculate the common denominator of -75/2 and -37/12326. 12326 What is the common denominator of -13/10496 and -67/8704? 356864 Calculate the common denominator of -39/4991 and -67/7130. 49910 What is the least common multiple of 1872 and 192? 7488 Calculate the smallest common multiple of 28008 and 168. 196056 Find the common denominator of 52/69 and 23/9114. 209622 Calculate the smallest common multiple of 870 and 31. 26970 What is the common denominator of 14/253 and 93/459908? 5058988 Find the common denominator of 57/33220 and -11/6040. 66440 What is the least common multiple of 20672 and 6460? 103360 Find the common denominator of 43/6490 and -103/330. 19470 Find the common denominator of 61/2480 and 137/8556. 171120 What is the common denominator of 127/430 and 34/43? 430 Calculate the least common multiple of 2130 and 8. 8520 Calculate the smallest common multiple of 42 and 1020. 7140 Find the common denominator of -2/178035 and -59/3575. 890175 Find the common denominator of 13/38 and 13/16376. 311144 Find the common denominator of 57/20 and -31/135700. 135700 Find the common denominator of -103/98 and -79/173222. 1212554 What is the least common multiple of 315861 and 676? 1263444 What is the lowest common multiple of 60 and 6010? 36060 Calculate the common denominator of 37/30 and 113/52860. 52860 Find the common denominator of 32/383667 and 35/27189. 3453003 Calculate the smallest common multiple of 106956 and 80217. 320868 What is the common denominator of -59/3084 and 103/58596? 58596 What is the common denominator of 61/60 and -79/529740? 529740 Calculate the common denominator of -7/316494 and -83/12. 632988 What is the smallest common multiple of 21641 and 9112? 173128 What is the common denominator of 107/102296 and 1/37688? 716072 What is the common denominator of -127/162440 and 121/9170? 1137080 Calculate the common denominator of 44/611 and 41/3952. 185744 What is the common denominator of -71/8 and -63/283375? 2267000 Calculate the smallest common multiple of 408 and 3072. 52224 What is the common denominator of -48/259 and -53/910? 33670 What is the lowest common multiple of 152 and 2210? 167960 Calculate the common denominator of 20/19 and 51/1628. 30932 What is the least common multiple of 125675 and 89115? 4901325 What is the least common multiple of 14 and 10745? 21490 What is the common denominator of 71/32800 and 187/19680? 98400 Calculate the common denominator of 81/76216 and 101/95270. 381080 What is the common denominator of -47/8 and -17/332054? 1328216 Calculate the common denominator of 53/1696640 and -61/80. 1696640 What is the least common multiple of 2970 and 66? 2970 Calculate the smallest common multiple of 1554 and 97902. 97902 What is the least common multiple of 4 and 1234? 2468 Find the common denominator of 16/40953 and 25/187. 40953 Calculate the least common multiple of 21 and 85707. 599949 What is the common denominator of -43/20 and -77/55610? 111220 Calculate the lowest common multiple of 39400 and 14775. 118200 What is the least common multiple of 2369500 and 1400? 4739000 What is the least common multiple of 14 and 23422? 23422 Calculate the common denominator of -43/89852 and 36/11. 988372 Calculate the least common multiple of 6482 and 563934. 563934 Find the common denominator of 23/57140 and 79/2. 57140 What is the least common multiple of 498 and 31? 15438 Find the common denominator of 45/13532 and -65/448. 1515584 Find the common denominator of 31/50228 and -17/820. 10296740 Calculate the common denominator of -57/159320 and -145/6828. 477960 What is the lowest common multiple of 166824 and 29128? 1835064 Find the common denominator of 77/1566 and 11/34742. 938034 Calculate the least common multiple of 362280 and 44. 3985080 Find the common denominator of -49/2424 and -19/100293. 802344 What is the lowest common multiple of 5 and 36918? 184590 Find the common denominator of 55/161 and 51/22931. 160517 What is the common denominator of 11/9 and -9/778858? 7009722 What is the smallest common multiple of 20 and 2763212? 13816060 Calculate the common denominator of -25/204 and 29/122196. 122196 What is the common denominator of 89/520 and -18/13195? 105560 Find the common denominator of -77/1578 and -91/36. 9468 Find the common denominator of -85/98892 and -53/1476. 98892 C
{ "pile_set_name": "DM Mathematics" }
+ 2220*z + 55 = -5*s for s. 4 Solve -18 = -6*p - 6*f, 1883*f + 25 = 5*p + 1878*f for p. 4 Solve -1908*m + 1909*m = -3*q, 0 = -2*m + 6 for q. -1 Solve -q + 29 = 39*m - 113 - 1, 0 = 7*q - 2*m + m + 95 for q. -13 Solve m - 4 = -n, 192*m = -n + 196*m - 16 for n. 0 Solve m - 5*k + 17 = 0, -7*m + 0*m + 8*m - 5*m + 7*k - 29 = 0 for m. -2 Solve -88*m = 8*x - 120, -4*m - 2210 = 3*x - 2226 for x. 4 Solve -14 = 5*q - 2*d, -5*q + 13168 = -4*d + 13186 for q. -2 Solve 3*x - 4*b - 56 = 0, -x - 48*b = 4*x - 28*b - 24*b - 96 for x. 20 Solve 5*y - 2*y = 259*w - 258*w + 18, -5*w - 90 = 0 for y. 0 Solve 4*m + 6*y = -50, -46*m - 31*m + 77*m + 4*y + 20 = 0 for m. -5 Solve 3*z + 25 = -q, 5 = -3*z + 17777*q - 17773*q for z. -7 Solve 2*x - n - 143883 = -144018, 0 = 6*n + 18 for x. -69 Solve -27 = 5*t - 5611*s + 5610*s, 32*t + 150 = -5*s for t. -5 Solve 17*w - 14*w + 27 = -10*s + 7*s, 4*s - 8*w = -72 for s. -12 Solve -3*s + 3*s = 5*s + 4*q + 48 + 43, 95 = -5*s - 5*q for s. -15 Solve 2*w - 7254 = 4*p - 7222, 7*p + 5*w = 4*p + 3*w - 31 for p. -9 Solve -5*s + 4*s + 3*y = 5*y + y - 4, -39 = -4*s + 11*y for s. 7 Solve -5*k - 4*k - 2*k + 3*c + 116 = -11, -19 = 8*k + c for k. 2 Solve -2*o + 30418*y + 20 = 30415*y, 30 = -2*o - 2*y for o. -5 Solve 7*n + 6 + 29 = 3*t + 30, -3*n = -7*n + 4 - 0 for t. 4 Solve -u - 10*u - 100 = 3*c, 0 = -c - 66254*u + 66258*u - 18 for c. -26 Solve -12*y = r - 8*y + 40, -2*y - 12 + 16 = 0 for r. -48 Solve -3*n + 3*b - 22 - 11 = 0, 8*n - 25*b - 93 = 3*n + 3*n for n. -16 Solve 5*u - 3*q + 247 = -8*q + 262, 0 = -3*q - 6 for u. 5 Solve 0 = 12*l + h - 1922 + 1944, 134 = -4*l - 13*h for l. -1 Solve -12*o + 21 = 5*k - 0 + 167, 3*k = -2*o - 98 for k. -34 Solve -5*s = 5*j + 60, -136*j + 22 = -140*j + 5*s + 91 for j. 1 Solve 0 = d - b - 4, -2*d - 6*b + 8 = -8*b - 2*b for d. 4 Solve 0 = 15467*u - 15468*u + 13*j + 41, 4*u + 13 = -7*j for u. 2 Solve 25376*j = 25375*j + 5*d - 16, 4*d = j + 13 for j. -1 Solve 4*j - 4*y = -2*y + 22, -j + 1211*y - 402*y - 406*y - 11 = 404*y for j. 0 Solve 214 = -2*m - 7*s, m - 4*s - 55 = 13 + 50 for m. -2 Solve 2*f - 391 = 6*r - 8*f - 417, r + 29 = 5*r + 5*f for r. 6 Solve -3*q = -5*o - 24, 665*o + 12 = 661*o for q. 3 Solve -j - 5*k + 4*k - 4 = 2*j, 23 = -8*k + 3*k + 2*k + 38 for j. -3 Solve -17*c + 3*j - 168 = -157, -12*c + 16*c + 2 = j for c. -1 Solve z - 2 = s, -21 = 3*s - 635*z + 637*z for s. -5 Solve 30 = 25604*z - 25607*z, 3*o + 8*z + 65 = 0 for o. 5 Solve 4*u + 12 = j, -106 + 104 + 281 = -98*u + 2*j - 42 - 153 for u. -5 Solve 2*n - 3 + 3 = 0, 12*t - 15*t + 0*n + 2*n + 21 = 0 for t. 7 Solve 0 = -132*k + 130*k + i - 2*i + 10 - 38, -3*i = 0 for k. -14 Solve 5*g - 105 = -2*o, -770*g - 771*g - 169 = -1537*g - 3*o for g. -1 Solve 0 = -h + 12*o + 65, h + 23*o - 28 = -3*h + 13*o for h. 17 Solve n + 120072 = -z + 120034, n + 13*z + 74 = 0 for n. -35 Solve 5*o + 95 = 16*v, 7*v - 9*v - 911 = o - 866 for o. -35 Solve -q - 91 = -2*d, 1334 - 1014 = 36*q + d + 3231 for q. -81 Solve 2*u - 86*l = -84*l - 182, 2*u + 74*l - 80*l + 194 = 0 for u. -88 Solve -3*d + 1 = n, 64*d = -370*n - 379*n + 758*n - 464 for d. -5 Solve 76*r + 2*b - 22 = 81*r, 5*b = -r - 3*r + 4 - 15 for r. -4 Solve 3*g + 32 = z, 5*g - 3*z - z - 9*z + 76 = -10*z for g. -5 Solve 2*s - s - 7*x - 380 + 121 = 0, -s - 111 = 3*x for s. 0 Solve 584*c - 45 = 579*c - 3*w, 0 = 2*c - 2*w - 18 for c. 9 Solve -3*s - 8*m - 70 = 0, 0 = 2*s + 2*m + 2995 - 2955 for s. -18 Solve -4*z - 3*f + 77 = 0, -3*f = -26*z + 21*z + 103 for z. 20 Solve 10*s - 17 = 2*p + 3*s - 6*s, -309 + 354 = 3*p + 4*s for p. 11 Solve -4*a = 5*d - 20, -3*a - 335 = 4*d - 352 for d. 8 Solve -46*f = 4*q - 17*f + 77 + 40, -5*q + 2*f + 45 = 0 for q. 7 Solve 2*i = 3*q - 28, 111*q - 104*q - 2*i - 28 = 0 for q. 0 Solve -4*r + 5*g - 2 = 0, -9*r + 5*g + 437921 = 437913 for r. 2 Solve -277*f + 35 = -272*f + 10*k, 2*f = 5*k + 5 for f. 5 Solve 6*y + 132 = -3*g, -1950*g + 5*y = -1954*g - 116 for g. -4 Solve 5*t + 30*a - 25*a = 90, t + 77 = 4*a + 5 for t. 0 Solve -9*m + 310 = -9*q + 7*q, 7*m - 4*m + 2*q = 98 for m. 34 Solve -941 + 930 = v + 2*j, -11*v - 2*j - 81 = 0 for v. -7 Solve 0 = 18102*f - 18094*f - 4*a - 100, -4*f = -a - 45 for f. 10 Solve 4*f + 60 = 4*o, -f + 86759*o - 86764*o = 27 for f. -17 Solve -4*v = -a + 269, 12 - 84 = 10*v - 7*v + 132 for a. -3 Solve -5*u - 111 = 3*x, -291*u - 13*x = -296*u - 79 for u. -21 Solve -b + 0 + 7 = 3*l, b - 175*l = -89*l - 84*l - 8 for b. -2 Solve x = -5*h - 136, -3*h - h - 7641*x - 105 = -7644*x for h. -27 Solve 5*q + 4*k = 65, -470*k - 335*k = 5*q - 800*k - 70 for q. 9 Solve 5*w + 1 = 6010*u - 6014*u, -72*u - 5*w = -67 for u. 1 Solve 0*g - 2*g - 1348 = 13*t, 495 = 21*t + 2679 for g. 2 Solve -h - 16 = 16535*k - 16530*k, -20 = -5*h - 5*k for h. 9 Solve 0 = 3*g - 111, -3*g = -73*j + 42*j - j - 79 for j. 1 Solve 885*s + 40 = 2*v + 886*s, 34 = 2*v - 2*s for v. 19 Solve 3*b - 772002 + 771993 = -s, -3*s + 1 = -4*b for s. 3 Solve -113*m - 7*c = -108*m - 18, 4 = -62*m + 64*m + 2*c - 0 for m. -2 Solve 0 = -69*u - 3*y + 1380, -5*u + y + 2*y + 167 = 67 for u. 20 Solve 13 = -t - 639*z + 642*z, 91*t + 361 = -z for t. -4 Solve 2*w + 2*i + 4 + 10 = 0, 32667*i = 32671*i + 32 for w. 1 Solve 11*g - 103 - 10 = i, -4*g + 19 = 9230*i - 9223*i for g. 10 Solve 30705 = -q + h + 30689, 3*q - 57 = -2*h for q. 5 Solve -2*r + 63651*s - 63642*s - 143 = 0, 0 = -2*r - 3*s + 37 for r. -4 Solve 6*l + 3*z - 36 = 0, -34 + 22 = 3*l - 6*z for l. 4 Solve x - 157 = 2*x - 10*d - 17*d, -8*d = -8*x - 12*d - 156 for x. -22 Solve 4*b - 1016 = 49*v - 738, v - 14 = 5*b for b. -4 Solve 496 - 576 = 8*u - 3*m, 6*u - 2*u - 104 = -3*m for u. 2 Solve -4*d = -8, -18*d = -569*f - 22*d + 1715 for f. 3 Solve 0 = 55*r + 79*r - 135*r + l - 2 + 11, 0 = r - 26*l - 59 for r. 7 Solve 4*b = -2*j - 8, 31406*j - 31453*j = -2*b - 100 for j. 2 Solve -420*j + 421*j = -6*q - 22, 0 = -4*q - q - 3*j - 14 for q. -4 Solve 0 = -5*k + 24965*q - 24962*q + 21, 2*k + 22 = -14*q for k. 3 Solve -2722*k - 63 = -2726*k + 9*g, 0 = -3*k + g + 7 for k. 0 Solve 38*u - 84*u - 39*v - 71 = -51*u, -2*u - 31 = u - 5*v for u. -17 Solve -4*z + d = 15*z + 98 + 17, -d = z + 5 for z. -6 Solve 0 = 2*p - 50 - 20 + 16, 1516*p - 1513*p = x + 82 for x. -1 Solve -129*m + 9*l - 4*l = 79*m - 614, m - 1 = l for m. 3 Solve b - 3*z + 108 = 0, 11 + 27 = -b + z for b. -3 Solve 3*j + 76 = -4*i, 855*i + 52 = 852*i - 2*j for i. -4 Solve 3*j - k - 4*k = -3*k, 13*j + 3*k = 5*j for j. 0 Solve -5*b + 4*f = -18, 19 = b + 104996*f - 104999*f for b. -2 Solve -p - 4*h = 23, 15807*h - 15814*h - 77 = 7*p for p. -7 Solve 4*t - 3*r + 114 = 0, -3*t - 79*r = -69*r + 110 for t. -30 Solve 5*j + 20 = 0, -4*r = -3*j - 475 + 419 for r. 11 Solve s + 9*q - 857 = -24*q, 773*q - 768*q - 130 = 0 for s. -1 Solve 27 = 5*z + v - 6, 2*v = 4*z - 48800 + 48824 for z. 3 Solve -1313057*b + 1313065*b + t - 56 = 0, -4*b = -2*t - 28 for b. 7 Solve -r + 5*r + 8 = 12*f, 0*f = 137*r - 142*r + 3*f - 5*f + 24 for r. 4 Solve -2*m + 10*t - t + 43 = t - 5, -m + 7*t = -39 for m. 4 Solve -n = -5*o - 79, -6180 + 6194 = -o + 2*n for o. -16 Solve 0 = 3*x + 5*s - 6, 0 = 355*x - 358*x + 6*s + 39 for x. 7 Solve -51*x + 46*x - 20 = 0, -64*x + 62*x - 88 = -10*g for g. 8 Solve 5*g + 4*g - 11*o + 6*o = -20*g - 21, o - 2*o + 11 = g for g. 1 Solve -2172*w + 1087*w - 3*l + 37 = -1086*w, -5*l + 9 = -6 for w. -28 Solve 5*a = -5*d - 60, 0 = 16*a - 22*a + 12*a + d - 8 for a. 4 Solve -3*i + 86738 - 86765 = 0, -d - 5*i = -0*i + 45 for d. 0 Solve 0 = -6*k + 7*m - 0*m + 96, -k - 79 + 33 = 4*m for k. 2 Solve 0 = -154*i + 78*i + 75*i - 261*h + 1002*h + 2952, 2*i - h + 20 = 0 for i. -12 Solve -2*o = -4*n - 112, -140 = 119*o - 123*o + 5*n for o. 0 Solve 44*n - 48*n = -4, -7*b + 5*b + 3*b + 2*n = -23 for b. -25 Solve 0 = f - 179*y - 633 + 3675, 4*y = 24*f - 26*f + 70 for f. 1 Solve -4*y = -q - 17121 + 17185, 6*y - 2*q + 94 = -0*y for y. -17 Solve 4*j - 4 = -2*r, j - 5 = -r + 28 - 35 for r. -6 Solve 3*w = 60*m - 64*m - 101 + 31, 350 = -2*m - 12*w for m. 5 Solve 5*z - 3*t = -8*t - 45, 9*t + 55*t + 393 = -5*z - 57*t for z. -6 Solve 315*g - a - 4016 = 4802, -16*a + 14*a = -3*g + 80 for g. 28 Solve -318*w - 51 = -321*w + 3*x, -34*w + 5*x - 31 = 0 for w. -4 Solve 22*j + 27*j = -u + 46*j - 1, 0 = -4*u - 0*u - 2*j + 26 for u. 8 Solve 3*v - 5*p - 965 + 1092 = 0, -183 = 3*v + 9*p
{ "pile_set_name": "DM Mathematics" }
Is r(m) a composite number? True Let m = -31 - -288. Is m prime? True Let v be 1/(907/453 - 2). Let x = 16 + 71. Suppose -3*j = -4*j - 2*p + x, p - v = -5*j. Is j prime? False Suppose 13*i + 178609 = 654500. Is i prime? True Let r = 641 - -326. Is r a composite number? False Suppose 7*q - 6*q - 4 = 0. Is (-1382)/q*((-2 - -4) + -4) a composite number? False Suppose 0 = -4*s + 2*b + 4, 0 - 4 = -3*s + b. Suppose -314 - 692 = -s*p. Is p a prime number? True Suppose w - 1 = -3*q + 2*w, -4*q = 4*w + 4. Suppose q = 2*h + 4*h - 2310. Suppose 2*k - 1491 = -h. Is k composite? True Let k be (2 + (-6)/4)*(14378 - -2). Suppose 4*o - 3*j - k = 0, -2*j + 5698 = 4*o - 1502. Is o a prime number? False Suppose 2*p - 4238 = -5*f, 9*p - 3*f - 10657 = 4*p. Suppose -1386 = -5*l + p. Is l prime? False Suppose 0 = -4*p + 109 + 119. Suppose 0*w + w + p = 0. Let v = w + 94. Is v a prime number? True Let d be 55/((0 - 3)/(-12)). Suppose 526 = 2*q - d. Is q a composite number? False Suppose 5*i - 17096 - 3299 = 4*o, 5*i = -3*o + 20430. Is i prime? False Let k = 8766 - 4829. Is k prime? False Let o(r) = -6*r - 6. Let x be o(-2). Suppose -x*p + 21882 = 8988. Is p prime? False Let p(k) = -2*k**2 - 11*k + 5. Let b be p(-6). Let s be b/(-4) - (-3)/(-12). Suppose s = 5*m - 937 - 598. Is m prime? True Suppose -3*u + 10 = 4, -5*t + 16 = 3*u. Let z(b) = b**3 - 2*b**2 + 3*b - 2. Let d be z(t). Suppose -4*f + 106 = -3*p + 18, 2*f - d*p = 34. Is f prime? False Suppose -355 + 45 = -5*i. Is (-22782)/(-4)*i/93 prime? True Let i = 42 - 14. Suppose -3*h - i = -h. Is (-1802)/h + (-4)/(-14) a prime number? False Let t be (4/(-10))/(12/15 - 1). Suppose 0 = -t*b + q + 663, 4*b - 3*q - 1327 = -0*q. Is b a composite number? False Is ((-4)/2)/(3 + -2) - -43225 a prime number? True Let m = -35 + 56. Suppose 0 = -3*f - 4*u + 16, -5*f - 5*u + m = -f. Suppose -f*z + 9 = -z. Is z a prime number? True Let k = 8 + -3. Let h(y) = -y**2 + 6*y - 2. Let d be h(k). Suppose 38 + 136 = 2*w - 4*b, -d*b + 15 = 0. Is w prime? True Let m(q) = 5*q**2 - 27*q + 1. Suppose 4*v - 7*v + 63 = 0. Is m(v) composite? True Let y(z) be the second derivative of 0 + 2*z**2 + 1/6*z**4 + 5/6*z**3 - 6*z. Is y(-2) prime? True Let h(v) = v**3 - 15*v**2 - 10. Let t be h(15). Let z be 6/t + 17/(-5). Let g(j) = 17*j**2 + 6*j + 5. Is g(z) prime? False Suppose -27 = -5*m - 3*k, -3*m + 2*k + 4 = m. Suppose -173 = -m*o - 4*t, t - 224 = -4*o - t. Is o a prime number? False Let g(r) = r**2 + r + 2. Let a be g(0). Let s(l) = 265*l - 3. Is s(a) a prime number? False Suppose -2*x = -181 - 55. Suppose -5*b - 3*u + 629 = 0, 4*b = 3*b + 2*u + x. Is b + -2 + 2/(-2) a prime number? False Is 18/3 + 39520/(6 - 4) composite? True Suppose -w - 1186 = -5*m, 3*w - 472 = -2*m + w. Let d be m/12*2*-12. Let n = -253 - d. Is n a prime number? False Suppose 2*m + 2*g - 8 = 0, -m - 2*m - 4 = -5*g. Suppose 0 = -m*o + o + 59. Is o a composite number? False Let c(x) = 3*x - 8. Let w be c(4). Suppose -w*o = o. Suppose o = 2*d + 6, -d + 443 = 6*n - 4*n. Is n prime? True Let c = 12888 + 15598. Is c a composite number? True Suppose -70*f = -67*f - 45282. Is f a prime number? False Suppose 102 = b + 2*b. Let w(r) = r**2 - 11*r + 17. Let i be w(9). Let n = b - i. Is n composite? True Suppose -22380 = -2*w - 4*p + 31670, 0 = 5*p + 25. Is w a composite number? True Suppose 5*p + r + 3527 = 0, 2*r + 2008 - 602 = -2*p. Let u = p - -1197. Is u prime? True Let h = -74 + 2995. Is h a prime number? False Let d(n) = 13*n**2 - 7*n + 9. Let k(g) = g**2 - 4*g + 8. Let f be k(4). Is d(f) a composite number? True Let i = 25 - 6. Let m = i + 184. Is m a composite number? True Let s(r) = 2*r**3 + r**2 - r + 37. Let k be s(5). Suppose 5*x + 19 + 5 = v, -5*v = -2*x - 5. Is k + (0/(-4))/v prime? True Let k(p) = -p**2 + 5*p - 4. Let z(x) = -x**3 - 3*x**2 + 3*x - 1. Let f be z(-4). Let b be k(f). Is (6/b)/(15/130) prime? False Let n(u) = 70*u**3 + 9*u**2 - 25*u - 1. Is n(5) a prime number? True Let q(a) be the third derivative of 3*a**5/10 + 5*a**4/12 - 5*a**3/2 + 2*a**2 - 5. Is q(8) composite? False Let r = 125 - -1568. Is r a prime number? True Let k = 13 - 11. Suppose 0 = -4*n - k*o + 2958, 0 = -4*n - 4*o + 11 + 2957. Is n composite? True Let k = 0 + 11. Let l(r) = 2 + 2 - 2 + 3 - k*r. Is l(-6) a prime number? True Suppose 3*w = 7*w - 12. Let l be w/(-2)*(-28)/(-21). Let y(f) = -29*f**3 - 3*f**2 - 2*f - 1. Is y(l) a prime number? True Suppose 2*k + 11*a = 13*a + 6008, a = 3*k - 9002. Is k a prime number? True Let x(i) = 2*i + i**2 - 13 + 19*i - 2*i**2. Let n(j) = -j**2 + 9*j - 3. Let r be n(6). Is x(r) a prime number? False Let h(x) = x**2 + 8*x - 6. Let p be h(-8). Let g = 13 + p. Is 67*1*7/g a composite number? False Let p(z) = -z**3 + 20*z**2 - 24*z + 20. Let m be (1 - (4 + -17)) + 3. Is p(m) a composite number? False Suppose 5*w - 17640 - 719 = v, -3*v = w - 3659. Is w composite? False Suppose 4501 - 420 = 7*d. Is d prime? False Let f(t) = 15 + 10*t**3 + 36*t**3 - t**2 - 14. Let i be f(1). Let s = -11 + i. Is s composite? True Suppose 0 = 5*h - 6*h + 4. Suppose -h*o - j + 1054 = -1201, -2800 = -5*o + 5*j. Is o a composite number? False Suppose -4*b = 3*y + 61 - 615, 0 = -2*y - 2*b + 368. Let v = y - -165. Is v a prime number? True Suppose 34*x - 5068 = 30*x. Is x a composite number? True Let y(q) = -14*q**3 - 23*q**2 + 78*q - 23. Is y(-24) composite? False Let q(u) = u**3 - 6*u**2 - 30*u + 22. Is q(12) a prime number? False Let t(a) = -12*a**2 + 6*a - 2. Let l = 2 - 7. Let y be t(l). Is ((-1)/4)/(1/y) prime? True Suppose 0 = -d - 450 - 1165. Is (d/38)/(1/(-2)) a composite number? True Suppose 0 = 2*x + m - 170, x - 5*m = -2*m + 92. Let h = 35 + x. Is h a composite number? True Let t(a) = 3*a**3 + 104281. Is t(0) prime? True Let j(a) be the first derivative of -3*a**4/4 - 6*a**3 - 5*a - 11. Is j(-8) composite? False Let r(c) be the third derivative of c**5/15 - c**4/6 + 7*c**3/6 + 3*c**2. Suppose -2*a - 3 = 7. Is r(a) prime? True Let c(g) = 21074*g**2 + 19*g. Is c(-1) a composite number? True Suppose 7*h - 8017 = 257. Let i be 1/3 + (-2)/6. Suppose 5*r - s - h = i, -s = 5*r + 4*s - 1200. Is r a prime number? False Is 47696/8 + (-21)/(-3) a composite number? True Let o be (-3 - (-4)/(-4)) + -60. Let h = 493 - 344. Let b = o + h. Is b prime? False Is (2055/30)/(5/2230) composite? True Suppose 0 = 5*y - 24 - 706. Is (y/2)/(6/30) a prime number? False Is (-430252)/(-5 + 3 + -2) a composite number? False Let s = 51162 + -27755. Is s prime? False Let q(j) = 2*j**2 - 6*j + 6. Let h be q(2). Suppose -2*f - 6 = 0, 4*x + 3*f = h*x - 5. Suppose -g + 3820 = 4*k, x*k - g - 1910 = 4*g. Is k a composite number? True Let q(u) = 6*u**2 - u + 23. Let b be q(-8). Is (b + (-4)/2 + 0)/1 a composite number? True Suppose 4*v - 588 = 5*v. Let m = 2123 + v. Is m composite? True Suppose -8*d + 13*d - 10 = 0. Suppose 2*o = 4*q + 7594, 0 = 2*o - d*q - 3091 - 4511. Is o a composite number? True Let w(d) = 2*d - 7. Let q be w(3). Let p(x) = x**2 + 1. Let g(m) = -495*m**2 + m + 3. Let n(v) = -g(v) + 2*p(v). Is n(q) a prime number? False Let i = 6778 + 2313. Is i a prime number? True Suppose s + 5 = 0, -2*s = 3*m - 5*m + 12. Let u be m*0*3/(-12). Suppose 2*k = -4*i + 802, u*k - 1223 = -3*k - i. Is k composite? False Let s(o) = 3*o**2 + 30*o - 7. Let i be s(-10). Is (i - -1)/(-4 + 438/111) composite? True Let z be -1 - (-3697 + (-5 - -1)). Let n = -1547 + z. Is n prime? True Let w = -1129 + 2868. Is w a composite number? True Let b = 222 - -561. Suppose 2*c = -b - 75. Is c/(-2)*(-6)/(-9) composite? True Is 3/(-9) - (-158580)/27 a composite number? True Is (2/(-5))/(4/(-129530)) a prime number? True Let u(p) = 106*p - 87. Suppose -32 = -2*i + 4*n - 2*n, 0 = 2*i + 4*n - 20. Is u(i) composite? True Let f(l) = -50 + 12 + 16 + 3*l + 12. Let b be f(5). Suppose 0 = b*m - 5*z - 1905, 0*z - 4*z = m - 381. Is m a prime number? False Suppose 20 = -5*i, 254 - 12 = -2*z - i. Let x = -45 - z. Is x a prime number? False Let d = 62438 + -36511. Is d a composite number? True Let g = 44189 + -23922. Suppose 13471 + g = 6*y. Is y prime? True Let v(s) = 1939*s - 174. Is v(5) a composite number? False Suppose 31*c = 38*c - 84091. Is c prime? False Suppose 5*l - 25277 = -1062. Is l a prime number? False Let i = -117 - -164. Suppos
{ "pile_set_name": "DM Mathematics" }
+ 6*x**2 - 3*x**2)*(-3*x**3 - 2*x**3 + 6*x**3) + 6*x**5 - 22*x**5 + 14*x**5 - 84*x**3 - 1 + 1 - 2*x**5. -x**5 - 84*x**3 Expand (-q**4 + q**4 - q**4)*(-4 + 2 + 1) + 104*q**4 - 275*q**4 + 91*q**4. -79*q**4 Expand (2 + 3 - 4)*(3*b - 4*b - 7*b)*(-5*b**2 + b**2 - b + 2*b**2). 16*b**3 + 8*b**2 Expand (0*l + 0*l - l)*(-3*l - 2*l + 6*l) + 2*l - 2*l - l**2 + (36 - 36 - 5*l)*(5*l + 31*l + 9*l). -227*l**2 Expand (q**3 + q**3 + 3*q**3)*(-25 + 9*q + 25) + (-2*q - q + q)*(3*q**2 - 3*q**2 + q**3). 43*q**4 Expand (732 - 732 + 14*l**3 + (0*l**3 + 2*l**3 - l**3)*(-7 + 2 + 3))*(-2*l**2 + 0*l**2 + 4*l**2). 24*l**5 Expand (6 - 1 - 4)*(41*l + 24*l + 16*l)*(3*l - 4*l + 2*l). 81*l**2 Expand g**2 - g**2 - g**3 + (5*g**2 - 3*g**2 - 4*g**2)*(-g - 2*g + 4*g) - 10*g**3 - 28 + 28 + (-4*g**2 + 4*g**2 + g**2)*(9*g + g - g). -4*g**3 Expand (18 + 5*u - 18)*(0 + 2 - 3 + (0 - 1 + 2)*(5 - 3 + 0) - 1 + 0 - 1 + 5 - 2 + 0). 10*u Expand -j**5 + 2*j**5 + 0*j**5 + (0*j**3 + 3*j**3 - j**3)*(-33*j**2 + 49*j**2 + 96*j**2). 225*j**5 Expand (-2*d**4 + d**3 - d**3)*(-3*d + 3*d - 3*d) - 203*d**4 - 10*d**5 + 11*d**5 + 6 - 8. 7*d**5 - 203*d**4 - 2 Expand (0 - 25*r - 1 + 34*r)*(-7*r + 5*r - 9*r). -99*r**2 + 11*r Expand (-5*b - b - 11 + 7*b)*(-13*b**2 + 92*b - 92*b). -13*b**3 + 143*b**2 Expand (5*a - 3*a + 0*a)*(2*a - 4 + 4) + a**2 + 96*a**2 - 173*a**2 - 463*a**2. -535*a**2 Expand (5*p**2 - 3*p + 3*p)*(-5 + 3 + 4)*(3 + 1 + 3). 70*p**2 Expand (157*m + 92*m - 86*m + (-1 - 5 + 4)*(1 - 1 - 2*m))*(0*m - 4*m + m). -501*m**2 Expand (3*f + 2*f - 2*f)*(-31 + 6 - 41). -198*f Expand (4*a - 3*a - 4*a)*(8*a - 12*a - 63*a) - 2 + 2 - 2*a**2. 199*a**2 Expand ((5*n**2 - 2*n**2 - n**2)*(-3*n**3 + 4*n**3 - 3*n**3) + 2*n**5 + n**5 - n**5 + 12*n**5 + 59*n**5 + 9*n**5)*(8 + 1 + 8). 1326*n**5 Expand -2*y + 5*y - 4*y + 2*y - 2 + 2 - y + 2*y + y + (-3 + 2*y + 3)*(-1 + 1 + 2) + 3 - 3 - y - 1 - 2*y + 1 + 4 - 4 + y + 2*y - y + 2*y + 26*y - 31 + 17 + 13. 34*y - 1 Expand (-1368*z + 1022*z + 1317*z)*(-1 + 1 + 2). 1942*z Expand 155*a**2 + 9*a - 385*a**2 - 10*a + (0*a + 0*a + a)*(-2*a - 3 + 3). -232*a**2 - a Expand -g + 0*g - 3 + 0*g + (-4*g + 4*g + g)*(0 - 3 + 0) + g + 3*g - 7*g - 2*g + g + 16*g. 8*g - 3 Expand (4*v - v - v)*(0*v + 3*v - v)*(-18 + 16 + 27*v - 130*v). -412*v**3 - 8*v**2 Expand (-5 + 4 + 3)*(n**4 - 168*n + 176*n + 39 - 36). 2*n**4 + 16*n + 6 Expand (-2*r - r + 4*r)*((39 - 74 + 84)*(5*r - r - 5*r) - 4*r + 3*r + 2*r). -48*r**2 Expand (-5*j**3 + j - 3*j + 4*j**3)*(122 - 506*j**2 - 122). 506*j**5 + 1012*j**3 Expand (-77*p**2 + 7*p**2 - 52*p**2)*(0*p**3 + 0*p**3 - 5*p**3). 610*p**5 Expand 0*n - n**4 + 0*n + (3*n - n**4 - 3*n)*(-1 + 5 - 2) + 80*n - 80*n + 211*n**4 - 747*n**4. -539*n**4 Expand (2 - 3 + 2)*(8 - 8 + 12*b)*(-14*b + 3 + 2 - 3). -168*b**2 + 24*b Expand ((2*f - f + 0*f)*(-1 + 4 - 1) - f - 1 + 1)*(-5*f + 0*f - f) + 19*f + 8*f**2 - 19*f. 2*f**2 Expand (18 - 26 - 13)*(2*r + r + 4*r). -147*r Expand 2*p + p + 5*p + (3 + 1 - 2)*(-1 + p + 1) - 5*p + 6*p + 0*p - 2*p + p - 3*p. 7*p Expand 12*u**2 + u**3 + 4*u**2 - 3*u**2 - 4*u - 2*u**3 + 4*u + (4 - 3 - 2)*(0*u**3 + 17*u**3 + 10*u**3). -28*u**3 + 13*u**2 Expand (-5*w + 17*w + 8*w)*(1 + 2 + 0) - 2*w + 0 + 0 + 0 + 0 + 2*w + (2 + 2 - 2)*(0*w + w + w) + 6*w - 4*w - 4*w - 2*w + 2*w + 2*w. 64*w Expand (0*a**2 - 4*a**2 + a**2)*(2*a + 1 - 1)*(6 + 3 - 2). -42*a**3 Expand (-8*m**2 + 58*m - 76*m + 9*m)*(m + 4*m + m). -48*m**3 - 54*m**2 Expand -398*y**3 - 1 + 0 + 9*y**2 + 396*y**3 - 3*y**4 + (-2 + 0 + 3)*(0*y**4 + 0*y**4 + 2*y**4) + 3*y - y**4 - 3*y. -2*y**4 - 2*y**3 + 9*y**2 - 1 Expand ((0*c**2 - c**2 - c**2)*(1 - 1 - 2*c**3) + c**5 + 3*c**3 - 3*c**3 + 6*c**5 - c**5 - 3*c**5)*(1 - 5 + 2) - 6*c**5 - c**5 - 8*c**5. -29*c**5 Expand (4 - 881*g**3 + 3 + 875*g**3)*(4*g**2 - 3*g**2 + 0*g**2) + 2*g**5 + g**5 - g**5. -4*g**5 + 7*g**2 Expand -25*d**4 - 1 + 1 + (-2*d - 2*d + 2*d)*(0*d**3 + 3*d**3 - d**3) + 6*d**4 + d**4 - 2*d**4. -24*d**4 Expand (-k**2 + 3*k**2 - 5*k**2)*(-6*k**2 - 2*k**2 + 3*k**2)*(-1 - 4 - 4). -135*k**4 Expand 4 + 11*c**2 - 11*c + 5*c**2 - 15*c**2 + (8 - 8 + 10)*(6*c**2 - 3*c**2 - 2*c**2). 11*c**2 - 11*c + 4 Expand (-2*w + 2 - 2)*(327*w**3 + 225*w**3 - 121*w**3). -862*w**4 Expand (-2*s**4 - 2*s**4 + 2*s**4)*(-5*s - s + s) + (-3*s**4 + 4*s**4 - 3*s**4)*(-21*s + 4*s - 15*s). 74*s**5 Expand (1 - x**4 - 22*x + 0 + 53*x)*(2*x + 0*x + x). -3*x**5 + 93*x**2 + 3*x Expand (n + 2*n - 2*n)*(6*n**4 - 5*n**4 + 3*n**4) - n**2 - 2*n**5 + n**2 + n**5 + 0*n**5 - 2*n**5 + (0*n**2 + 2*n**2 - 4*n**2)*(n**2 - n**3 - n**2). 3*n**5 Expand (-3*u**4 + 3*u - 3*u)*(-3 + 2 - 1) + (u + 2*u - 4*u)*(36*u**3 + 8*u**3 + 24*u**3). -62*u**4 Expand ((-4 + 11 - 8)*(-4*b - 4 + 4) + 5*b - 3*b - 5*b)*(3*b**4 + 4*b**4 - b**4). 6*b**5 Expand -8*h**2 - 2*h**2 - 2*h**5 - 3*h**2 + 8*h**5 + 4 - 4 + (-2*h + 0*h + 3*h)*(-2*h + 2*h**4 + 2*h). 8*h**5 - 13*h**2 Expand (-127*g - 17*g - 82*g)*(-3 - 4 + 6)*(-3*g - 3*g + 5*g). -226*g**2 Expand (-s**3 - s**3 + 3*s**3)*(1 - s**2 - 1) + (5*s**2 - 310*s + 310*s)*(2*s**3 - s**3 + 2*s**3). 14*s**5 Expand (-a - 2*a + 4*a)*(-1 + 4 - 1) + 25*a - 58*a + 23*a + 3 - a - 1 - 1. -9*a + 1 Expand (-11 - 1 - 2)*(-7 + 5 + 0 - 6*j). 84*j + 28 Expand (-3*c + c**2 + 3*c)*(1575*c + 2477*c - 3086*c). 966*c**3 Expand (n + 0*n - 2*n)*(-n + 0*n + 0*n)*(15 - 9 - 4). 2*n**2 Expand (12*p**2 + 34*p**2 + 116*p**2)*(p**3 - p + p) + 2*p**4 - 2*p**4 - p**5 + (2*p**4 - 4*p**4 + 0*p**4)*(2*p + 3 - 3). 157*p**5 Expand (0 + 0 + p)*(-73*p + 104*p**2 + 35*p + 37*p) + p**2 - p**2 - p**3. 103*p**3 - p**2 Expand -4*r - r + 4*r + (1 + 3 - 2)*(-r + 3 - 3) + (3 - 15 - 11)*(r + 3 - 3). -26*r Expand (0*u**3 + u**3 - 3*u**3)*(-2 + 0 + 1) - u + u + 2*u**3 - 42 - 12*u**3 + 42 + 0*u**3 + 3*u**3 - 4*u**3. -9*u**3 Expand (3*m + 0*m + 2*m)*(-m - m - 5*m + (-3 + 6 - 1)*(-5*m + 3*m + 5*m)). -5*m**2 Expand 134*g**2 - 278*g**2 - 247*g**2 + (-4*g + 2*g + g)*(4*g - 4*g - g). -390*g**2 Expand (-d**2 + 0*d**2 - 2*d**2)*((d + 5 - 5)*(0*d - d**2 + 0*d) - 5*d**3 - 4*d**3 + 4*d**3). 18*d**5 Expand (3*h - 2*h + 0*h + (5 - 1 - 3)*(h - 3 + 3))*(-15*h + 20*h - 16*h). -22*h**2 Expand (-k + 2*k + k - k + 3*k - k + (0*k - 4*k + 6*k)*(-4 + 0 + 2) - 730*k - 492*k + 921*k)*(-1 - 3*k**3 + 1). 906*k**4 Expand 1 - 1 + z**2 - z**2 + 9*z**2 - z**2 + z**2 + 0 + 0 + (-z + 2*z - 2*z)*(-2*z + z + 0*z). 10*z**2 Expand (2*d**3 + 3*d**3 - d**3)*(d**2 + 3 - 3) - 1 + 2*d**5 + 1 + (0*d**5 + 0*d**5 + d**5)*(0 - 3 + 2) + 14*d**3 + d**5 - 14*d**3. 6*d**5 Expand ((3 - 3 + 2*s)*(4 + 7 - 8) + 0*s - 2*s - s)*(-4 - s + 4). -3*s**2 Expand ((0 + 2 + 0)*(0*q + 2*q - 5*q) + q - 1 + 1)*(8 + 2 - 1)*(3 - 4 - 3). 180*q Expand (0 + 1 + 1)*(3*s - 2*s - 3*s) + s + 3*s - 3*s + (21*s - 358 + 358)*(-3 - 3 + 3). -66*s Expand (3*g + 4*g + 4*g)*(2*g**2 - 11*g - 15*g - 4*g). 22*g**3 - 330*g**2 Expand (235 + 59 - 21 + 171)*(5*q - 4*q + 0*q). 444*q Expand (-898*i + 2483*i - 1310*i)*(0*i**2 + 4*i**2 - 3*i**2). 275*i**3 Expand (-49 + 49 + 67*m)*(-3*m**2 + m**2 - m**2)*(2*m - 3*m + 3*m). -402*m**4 Expand (-u + 2*u + 0*u)*(u**3 + u**3 - u**3) - 276*u**3 + 8*u**4 + 616*u**3 - 307*u**3. 9*u**4 + 33*u**3 Expand 0*v**3 - 3*v**3 + v**3 + 0 + 0 - v**3 + (-4*v**2 + v**2 - 5*v**2)*(3 - 3 + 4*v). -35*v**3 Expand (-7*z**3 - 3*z + 3*z)*(-203 - 176 + 447 - 1 + 4 - 2 + 1 + 2 - 4 + (3 - 3 - 1)*(1 - 2 + 0) - 1 - 1 + 3). -490*z**3 Expand 1 + 2 - 2251*t + 1432*t - 3 + (t + 2*t - t)*(-1 + 2 - 4). -825*t Expand 7*u**2 - 3*u**2 - 2*u**2 + (3*u + 0*u - 2*u)*(3*u - 2*u - 6*u) - 4*u**2 - 2*u**2 - u**2 - u**2 + 3*u**2 - 4*u**2. -12*u**2 Expand (-5 + 6 + 5)*(-2*t - 1 + 1) + (7 - 5 + 14)*(-2*t + 5*t - t). 20*t Expand (-4 - 2 + 4)*(4*t**2 - 3*t**2 + 0*t**2)*(13*t + 67 - 67). -26*t**3 Expand (-3*b + 2*b + 2*b + (-2*b + 0*b + 3*b)*(0 - 2 + 4))*(1 + 3 - 1)*(192*b + 48*b**2 - 192*b). 432*b**3 Expand (-79*r + 379*r**2 - 381*r**2 + 8*r)*(-49 + 49 - 16*r). 32*r**3 + 1136*r**2 Expand (j - 5*j + 3*j + (-8*j + 11 - 11)*(6 - 3 - 10))*(0*j**2 - j**2 - j**2). -110*j**3 Expand (95*q + 25*q - 32*q)*(34*q**3 + 7*q**4 - 34*q**3). 616*q**5 Expand (z**2 + 2*z**2 - z**2)*(-5*z - 2*z + 3*z)*(1 - 5 - 10*z + 7) - 6*z**2 + 6*z**2 - 2*z**4. 78*z**4 - 24*z**3 Expand (-1 + 1 + x**2)*((7 + 11 + 0)*(2*x**2 - 2*x**2 + 3*x**2) + (4 - 3*x - 4)*(2 + 7*x - 2)). 33*x**4 Expand (-14 + 38 - 3*x - 25)*(0 + 3*x**4 + 0). -9*x**5 - 3*x**4 Expand (-2*m - 3 + 3
{ "pile_set_name": "DM Mathematics" }
ecimal places. 0.0009 Suppose -3*s = -9*s - 10*s. Suppose 0*d + d = 4*o - 31960003, -2*o - 3*d + 15979991 = s. What is o rounded to the nearest 1000000? 8000000 Let k = 167 - 155.69. What is k rounded to zero dps? 11 Suppose -3*n = 4*y - 64166139, -5*n - 48124568 = -3*y - 0*n. Let q = y - 30141531. Round q to the nearest 1000000. -14000000 Let k = 0.11835 + -0.00969. Round k to 2 decimal places. 0.11 Let w = -601 + 230. Let m = w + 386.9. Let t = -15.13 + m. What is t rounded to one dp? 0.8 Let y = -0.62 - -0.64. Let h = 0.41 - y. What is h rounded to one decimal place? 0.4 Let a = -0.061 - -440.061. Let t = a - 440.000179. Round t to 5 decimal places. -0.00018 Suppose 249020 = -3*m - 4*n, -42*m + 4*n = -47*m - 415020. What is m rounded to the nearest 10000? -80000 Let r = -41 + 41. Suppose -3*y + 34 + 119 = r. Round y to the nearest ten. 50 Let d = -1190632451 + 360936390. Let t = d - -829696339.0000113. Let z = t - 278. What is z rounded to six decimal places? 0.000011 Let t = -4.53532 + -30.46658. Let w = t - -35. Round w to 3 dps. -0.002 Suppose 5*y = 5*z - 270, -5*y - 3*z + 4*z = 274. Round y to the nearest one hundred. -100 Let p = 1.7835 - 1.912. What is p rounded to 2 dps? -0.13 Let i = 3.7 - 2. Let m = 2 - i. Let p = -0.2982 + m. What is p rounded to three decimal places? 0.002 Let c = 563 + -667.57. Let d = c - -105. Round d to one decimal place. 0.4 Suppose -3*z = -11*z + 8576. Let r = z - 2942. What is r rounded to the nearest one hundred? -1900 Let r = 91.54 - 0.54. Let x = r - 91.192. Round x to two decimal places. -0.19 Let q = 10 + -7. Suppose 0 = -s - y - q*y + 45096, y = -3*s + 135343. Suppose 5*w = 20, -5*w - 2245096 = 4*c - s. Round c to the nearest one hundred thousand. -600000 Let k = -0.152507 + 204482.152507. Let i = k - 204467.99995. Let v = i + -14. What is v rounded to four dps? 0.0001 Let m(n) = 30800000*n. Let s = 17 - 13. Suppose -5*k - 5 = 0, s = -2*y - 5*k + 1. Let h be m(y). Round h to the nearest one million. 31000000 Let g = 10.37 - 9.8. Let h = 0.569835 - g. What is h rounded to five dps? -0.00017 Let u = -552 - -552.00011664. Round u to 6 decimal places. 0.000117 Let p = 4888 - 4887.996881. Round p to 3 dps. 0.003 Let b = 907 + -906.99997802. What is b rounded to six decimal places? 0.000022 Let h be (-1*(-2)/(-4))/(19/76). Let s(m) = 33999*m**3 - 4*m**2 - 2*m + 4. Let v be s(h). What is v rounded to the nearest 10000? -270000 Let f be (-473 + 15)/((-6)/(-39)). What is f rounded to the nearest 100? -3000 Let h = -3869055 - -3869066.199254. Let u = -11.2 + h. What is u rounded to four decimal places? -0.0007 Let h = -1.2268741 - 0.1732239. Let l = 1.4 + h. What is l rounded to 5 decimal places? -0.0001 Let r = 1.26 - 1.2663. What is r rounded to 4 decimal places? -0.0063 Suppose 6*a - 11 = -3*n + a, -4*n - 2*a = -38. Let x = 15 - n. Suppose -7*r + x*r - 2320000 = 0. Round r to the nearest one hundred thousand. -600000 Let l = -222 + 221.8924. What is l rounded to 3 decimal places? -0.108 Suppose -g + 4*m - 3 = 2*g, -4*g + m = 4. Let c be 4 + g + 0 + -1. Suppose -5*u + c*u = -1410000. What is u rounded to the nearest 100000? 500000 Let x = 570.4 - 660.54. Round x to the nearest ten. -90 Suppose 132550 = -3*g - 4*z, -z + 6*z + 88355 = -2*g. Round g to the nearest one thousand. -44000 Let x = -3.086 - 0.133. Round x to the nearest integer. -3 Let x = -2808.9997283 - -2809. Round x to 5 dps. 0.00027 Let k(x) = 1084662*x**2 + 12*x + 33. Let l be k(-6). Suppose -17152207 = -2*z + l. What is z rounded to the nearest one million? 28000000 Suppose 93*d - 2650 = 98*d + a, 3*d - 3*a = -1590. What is d rounded to the nearest one hundred? -500 Let v = -570 - -570.942. What is v rounded to one dp? 0.9 Suppose 2*j + 3*l = j - 3, 4*j - 22 = 5*l. Suppose -2*k + 35 = 3*b, -3*k = -k - 2*b - 10. Suppose k*r + 224 = j*r. What is r rounded to the nearest 10? -30 Let d = 6917 - 6917.004801. What is d rounded to three dps? -0.005 Let q = -11.2 + 17.4. Round q to the nearest 10. 10 Suppose -2*m - 15 = -7*m, -2*z = 5*m - 5. Let j = 4 + z. Let w be (j - 35 - 3)*-300. What is w rounded to the nearest 1000? 12000 Let x = 680.0319 - 680. Let z = -41.9319 + x. What is z rounded to the nearest ten? -40 Let g = -1.94 - 6.56. What is g rounded to the nearest integer? -9 Let k = 137.9 + -16.9. Let x = k - 121.00000083. What is x rounded to seven decimal places? -0.0000008 Let s(b) be the third derivative of -1315*b**4/12 + 10*b**3 + 2*b**2 - 2. Let t be s(-8). What is t rounded to the nearest 1000? 21000 Let p = -15 + 15.35. Let z = p - 0.71. Let c = -0.363 - z. What is c rounded to 2 decimal places? 0 Let w = -0.24177 - -0.242. Round w to three decimal places. 0 Let l(y) = y**3 + 5*y**2 - 2*y - 7. Let d be l(-5). Suppose -472 = d*u + 2228. Round u to the nearest 1000. -1000 Let m = 14.758 + -14.9. Let k = 0.273 + m. Round k to two dps. 0.13 Suppose 0 = 5*t + 923 - 3108. What is t rounded to the nearest 10? 440 Let g = 124.3 - 71.4. Let s = g + -55. Round s to 0 decimal places. -2 Let o be ((-4)/(-6))/(8/348). Let f = o - 23. Suppose -7*z - 2530000 = -f*z. Round z to the nearest one hundred thousand. -2500000 Let g = -1797 - -1796.999999868. Round g to seven dps. -0.0000001 Let u be (-51)/(3 - 30352956/10117648). Suppose 4*a = 2*q + u, -4*q - 2*a = -6*a + 86000004. What is q rounded to the nearest 1000000? -22000000 Let p = -122 - 14. Let k = -0.31092374 - 135.68826626. Let m = k - p. Round m to 4 decimal places. 0.0008 Let p = 1279 - -321. Let h = 25800 - p. Round h to the nearest 1000. 24000 Let f = -58 + 64. Suppose f*a + 3149077 = -510923. What is a rounded to the nearest 100000? -600000 Let k be 35*(-1 - 1 - 1998). Round k to the nearest one thousand. -70000 Let f = 358677.99985 - 358695. Let a = -16.83 + -0.17. Let y = a - f. What is y rounded to four decimal places? 0.0002 Let h = 32 + -30. Let g = 0.97 - h. Round g to 1 dp. -1 Let n(u) = u - 7. Let s be n(10). Let j(g) = 446*g**2 - 4*g - 2. Let y be j(s). Round y to the nearest 10000. 0 Suppose -41*x = -40*x + 343. Let b = 183 + x. Round b to the nearest one hundred. -200 Let u(q) = q**3 + 16*q**2 + 7*q - 26. Let w be u(-12). Suppose -9*z = -1838 - w. What is z rounded to the nearest ten? 260 Let w = -70 + 1. Let x = 79.2 + w. What is x rounded to the nearest integer? 10 Let t(v) = v + 39. Let z(c) = c + 20. Let y(a) = -3*t(a) + 5*z(a). Let j be y(0). What is j rounded to the nearest ten? -20 Let z = -5.364 + 5. What is z rounded to 2 dps? -0.36 Let f = -101.099867 + 101.1. Round f to 5 dps. 0.00013 Let h = 120.03 + -117. Let b = -3.030612 + h. What is b rounded to four dps? -0.0006 Let k = -635.0000108 + 635. What is k rounded to 6 decimal places? -0.000011 Let q = -0.046525 - -5.674325. Let r = q + 0.0422. What is r rounded to 1 dp? 5.7 Let x = 1697738021.368341 - 4057.368341. Let t = x + -1697733984.99999982. Let s = t - -21. What is s rounded to seven dps? 0.0000002 Let j = 53.2972 - 53.2. What is j rounded to 2 decimal places? 0.1 Let k(z) = -169*z**2 + 11*z + 40. Let j be k(-6). Round j to the nearest one thousand. -6000 Let b = -71751 + -133249. Round b to the nearest ten thousand. -210000 Let g = 35.6 - -3.4. Let k = -8617742273 + 8617742312.00000031. Let b = k - g. Round b to seven dps. 0.0000003 Let y = -16.0032 - -16. Let r = y + 0.0032341. Round r to 6 dps. 0.000034 Let c = -190743 - -190743.220086. Let v = 0.22 - c. What is v rounded to 5 dps? -0.00009 Let f = 5826.807 + -5832. Let q = f - 0.107. Let v = 5.2908 + q. Round v to 3 decimal places. -0.009 Let g = 92.2577 + -92.2. Round g to two dps. 0.06 Let v = 0.83 - 0.678. Let q = -0.12 - -0.06. Let b = q + v. Round b to 2 decimal places. 0.09 Let a = -82141339.6999951 + 82141388.7. Let h = 49.108 - 0.108. Let u = h - a. What is u rounded to 6 dps? -0.000005 Let s = 418 - 418.00000266. Round s to 6 dps. -0.000003 Let t = 4.6 - 0.2. Let y = 4.4025 - t. Round y to three decimal places. 0.003 Let a = 287 - 259.3. Let t = -255.7 + a. Let v = 228.000202 + t. What is v rounded to five dps? 0.0002 Let w = 19 + -18.6. Let u = w - -1.1. Let j = -0.2 + u. Round j to the nearest integer. 1 Let k = 47.89 + -43.1. Round k to 1 decimal place. 4.8 Let p = 22.71 - -0.39. Let i = 0.66 - 34.66. Let w = i + p. Round w to zero dps. -11 S
{ "pile_set_name": "DM Mathematics" }
182 divided by -130 -12091/65 Calculate 283416 divided by 5061. 56 Divide 1293156 by -6. -215526 Calculate -2630656 divided by -46976. 56 What is 148345 divided by -29669? -5 -744224 divided by -4 186056 Divide -2509 by -211. 2509/211 Divide -62 by -1967. 62/1967 Calculate -889 divided by 29. -889/29 Divide -20875 by 25. -835 Calculate 29928 divided by -1. -29928 What is 90830 divided by 586? 155 Divide 1351 by 1885. 1351/1885 50740 divided by -1180 -43 29226 divided by -14613 -2 Calculate 9041 divided by -2. -9041/2 What is 174690 divided by 270? 647 What is -5 divided by -172? 5/172 Divide -238 by -132. 119/66 Divide -4270890 by 854178. -5 What is 0 divided by -847? 0 What is 0 divided by 4083? 0 Divide -29 by 162. -29/162 -574740 divided by -4635 124 1 divided by 5270 1/5270 Calculate -25672 divided by 4. -6418 Divide 0 by -300012. 0 -75 divided by 354 -25/118 What is 184806 divided by -184806? -1 Calculate 1596108 divided by -399027. -4 116 divided by -880 -29/220 What is 794024 divided by -77? -10312 What is 7120 divided by -3? -7120/3 -52887 divided by 51 -1037 Divide 1688844 by 562948. 3 -106 divided by -20889 106/20889 12565 divided by 359 35 What is 8768352 divided by 6? 1461392 552 divided by 6 92 What is 20370 divided by -679? -30 -103 divided by -25981 103/25981 Divide 56565 by -3. -18855 Calculate -246079 divided by 3. -246079/3 What is -19928 divided by -376? 53 What is 4508 divided by 196? 23 What is -369664 divided by -4? 92416 What is -917 divided by 1358? -131/194 Divide -4107964 by 293426. -14 Calculate -14 divided by 3488. -7/1744 What is -687 divided by 2339? -687/2339 Divide 93 by -15222. -31/5074 Divide 7113799 by 2. 7113799/2 What is -64255 divided by 905? -71 What is -12384 divided by -6? 2064 What is 3221 divided by -88? -3221/88 0 divided by -431712 0 Divide 2 by -24465. -2/24465 7460248 divided by 6 3730124/3 Divide 82918 by 3769. 22 Divide -27599 by -5. 27599/5 Calculate 15 divided by 5734. 15/5734 -158946 divided by 59 -2694 What is 1551 divided by 395? 1551/395 Divide 0 by 120449. 0 0 divided by 19683 0 3161580 divided by -6 -526930 -450368 divided by 14074 -32 Calculate 51570 divided by -17190. -3 What is 379808 divided by -1826? -208 59990 divided by 1 59990 Calculate 537375 divided by 4299. 125 Calculate 1 divided by 15385. 1/15385 Calculate -58522 divided by -29. 2018 Divide -215 by -2407. 215/2407 Calculate 65013 divided by 39. 1667 471 divided by -218 -471/218 46808 divided by 1 46808 Divide -28305 by -9. 3145 What is -16346 divided by -80? 8173/40 Divide -58776 by 19592. -3 What is -11376 divided by 72? -158 Divide 21 by 39. 7/13 Calculate 251024 divided by -15689. -16 Divide -2045 by 5. -409 What is 86276 divided by 21569? 4 119510 divided by 85 1406 What is -898 divided by 303? -898/303 Divide -1190700 by 297675. -4 Calculate 67 divided by -29. -67/29 What is 986 divided by 442? 29/13 144832 divided by -1168 -124 17 divided by -8893 -17/8893 -5 divided by 313082 -5/313082 Calculate -13 divided by 19588. -13/19588 Calculate 320000 divided by 50. 6400 Calculate 3243 divided by -3243. -1 1825 divided by -329 -1825/329 What is 118210 divided by -118210? -1 What is -2034 divided by -18? 113 Calculate 3 divided by -500786. -3/500786 Divide -3117 by 18. -1039/6 Calculate -1339 divided by 16. -1339/16 4202766 divided by -1 -4202766 What is -2009877 divided by 3? -669959 Divide 1183095 by -4. -1183095/4 Calculate 0 divided by 26025. 0 -1 divided by -94030 1/94030 What is -49703 divided by -49703? 1 Divide -2880210 by 1. -2880210 -182938 divided by -2 91469 What is 50882 divided by 13? 3914 224 divided by -202 -112/101 What is 226036 divided by -3? -226036/3 -161880 divided by -1 161880 What is 4 divided by -6419? -4/6419 What is -68 divided by -477? 68/477 -2 divided by 3903 -2/3903 What is -409791 divided by -23? 17817 Divide 4 by -202. -2/101 Calculate -16502 divided by 223. -74 -1 divided by -2557 1/2557 Calculate -335 divided by -82. 335/82 What is 19 divided by -29720? -19/29720 Calculate -57551 divided by 1. -57551 71666 divided by 14 5119 Calculate -87534 divided by 18. -4863 Divide -62492 by -919. 68 What is 1156 divided by -63? -1156/63 Calculate 4 divided by 1924304. 1/481076 Calculate -188097 divided by -1. 188097 Calculate -309 divided by 28. -309/28 What is 42 divided by 1449? 2/69 Divide 6086 by -4. -3043/2 Calculate -4 divided by -13658. 2/6829 Divide -4109532 by 6. -684922 Divide 143946 by -47982. -3 -68 divided by 230 -34/115 Divide 3823 by 351. 3823/351 Divide 6305 by 22. 6305/22 Divide -44928 by 128. -351 Calculate 0 divided by 4843. 0 -103218 divided by 6 -17203 Divide -512 by -46. 256/23 Divide 151160 by -37790. -4 -2867455 divided by -3 2867455/3 Divide 5 by -790. -1/158 5282 divided by -5282 -1 Calculate -593137 divided by 181. -3277 What is 2 divided by 3505? 2/3505 Divide 83 by 2855. 83/2855 5020 divided by 22 2510/11 What is -6 divided by -3657? 2/1219 Divide -8754 by 4. -4377/2 Divide -125 by -67. 125/67 -2 divided by -146838 1/73419 Calculate 1279440 divided by -180. -7108 Divide -45110 by 9022. -5 Calculate 5 divided by 95950. 1/19190 What is 515 divided by -43? -515/43 Divide -485644 by -5. 485644/5 Divide -4 by -239839. 4/239839 Divide 3627396 by 3. 1209132 What is -740 divided by 5? -148 Calculate 98 divided by 131. 98/131 Divide 18000 by -8. -2250 56396 divided by -1226 -46 What is 1 divided by -843? -1/843 What is 4906596 divided by -244? -20109 Calculate -17964 divided by 8982. -2 What is 162 divided by 16? 81/8 Divide -7 by -892. 7/892 95 divided by 15081 95/15081 Divide 22 by -7953. -2/723 Calculate -2833 divided by -22. 2833/22 What is -45 divided by 1785? -3/119 -235 divided by 4054 -235/4054 984 divided by 95 984/95 Divide 1944 by 8. 243 -1 divided by 346964 -1/346964 Calculate 528738 divided by -25178. -21 Divide 29 by 871. 29/871 -138 divided by 203 -138/203 Calculate 9912 divided by 2. 4956 Calculate -161 divided by -953. 161/953 Calculate -5 divided by -809011. 5/809011 Divide 1 by 228759. 1/228759 Divide -1 by -4384. 1/4384 Divide -1079796 by 3. -359932 Calculate 51836 divided by 16. 12959/4 8468 divided by -72 -2117/18 Calculate 2190 divided by -25. -438/5 -28966 divided by -91 4138/13 What is -4 divided by 1044? -1/261 -130761 divided by -1503 87 What is 193 divided by -2681? -193/2681 0 divided by 848221 0 189996 divided by -6 -31666 Calculate -906668 divided by 5. -906668/5 Calculate -24900 divided by -498. 50 2 divided by -230 -1/115 -1627136 divided by -12712 128 Divide 145 by -427. -145/427 -68 divided by 4085 -68/4085 4 divided by -19340 -1/4835 -5 divided by -4488 5/4488 Calculate 42912 divided by -3576. -12 Calculate 994806 divided by 6. 165801 Divide -3294 by 167. -3294/167 Divide -210576 by 4. -52644 Divide -4 by 149961. -4/149961 What is -10 divided by -105877? 10/105877 -3536968 divided by 884242 -4 -8 divided by 2253 -8/2253 What is -3 divided by -304958? 3/304958 What is 4495 divided by 3? 4495/3 Divide -3971 by -40. 3971/40 -13172 divided by -89 148 Divide 7135295 by -1. -7135295 Calculate 3 divided by -26812. -3/26812 Calculate 5 divided by 42112. 5/42112 Divide -404 by 163. -404/163 What is 13596 divided by -33? -412 Divide 511 by -83. -511/83 0 divided by -31660 0 Calculate 497609 divided by 4. 497609/4 Divide -1 by -3416. 1/3416 Divide -188 by 434. -94/217 -9396 divided by -783 12 What is -1380575 divided by 7889? -175 -120396 divided by -3 40132 What is -2114 divided by -14? 151 -355925 divided by -619 575 What is -6 divided by -5912? 3/2956 -5 divided by -126573 5/126573 Calculate -3110940 divided by 12345. -252 Calculate 20010 divided by -435. -46 What is -26456 divided by 2? -13228 Divide 663102 by -66. -10047 Calculate 22 divided by -243144. -1/11052 Divide 216 by -188. -54/47 Calculate -867870 divided by -144645. 6 -85464 divided by -21366 4 Divide 16731 by -12. -5577/4 Calculate 5 divided by -1562. -5/1562 What is -1901 divided by 3? -1901/3 Calculate 116196 divided by 69. 1684 1199635 divided by -239927 -5 What is 3 divided by 913578? 1/304526 Calculate -4 divided by -7657. 4/7657 -177852 divided by -29642 6 -1394261 divided by -4 1394261/4 37554 divided by -3414 -11 1 divided by -1066098 -1/1066098 1053768 divided by -526884 -2 Calcul
{ "pile_set_name": "DM Mathematics" }
)*(-5 + 2 + 1)) to the form d*r + s*r**2 + c and give s. 6 Rearrange -7*l**2 + l + 12*l**2 - l to d*l + v*l**2 + q and give v. 5 Express -1 + 56*o - 19*o - 2*o in the form u*o + n and give u. 35 Express 250*u + 225*u + 2 - 368*u in the form z + l*u and give z. 2 Rearrange -3*k - 7*k + 6*k - 27*k to the form h + i*k and give i. -31 Rearrange (0*v - v + 2*v)*(-84 + 2*v + 88 - v) to the form n*v + w + f*v**2 and give n. 4 Express -z**2 + z**2 + 6*z**2 - 4 + 6*z**2 in the form j + l*z**2 + g*z and give j. -4 Rearrange 0*u**3 + u**3 + 0*u**3 + (3 - 3 - 2*u**2)*(0 - 3*u + 0) + 2*u**3 - 2*u**3 + 3*u**3 to the form l*u**3 + g + x*u + z*u**2 and give l. 10 Rearrange 12*m**4 - 3*m**4 - 2*m**4 + (-4 - 2 + 5)*(4*m**4 - 3*m**4 - 3*m**4) to n*m + b*m**3 + q + c*m**4 + o*m**2 and give o. 0 Express (-1 + 2 - 9)*(-2 - 2*l**2 + 2) + l**2 - 4 + 4 in the form o + f*l + r*l**2 and give r. 17 Express -5*w + 2*w - 7*w as n + j*w and give j. -10 Express (5*n**2 - 2*n**2 + 2*n**2)*(4*n - 4*n + n**2) + 2*n**4 + 3 - 3 in the form d*n**4 + b + o*n**2 + t*n + l*n**3 and give d. 7 Express -h**2 + h**2 - h + 9*h**3 + 1 - 11*h**3 as y*h**3 + g*h**2 + m*h + t and give y. -2 Express (12*p - 19*p + 10*p)*(-9*p + 7*p - 14*p) in the form h + m*p + c*p**2 and give c. -48 Express (-b - 2 + 2 + (2*b - 5*b + 2*b)*(3 - 5 + 4) - 3*b + 2*b - 2*b)*(2*b - 2*b - 2*b) + (-2*b - 5 + 5)*(3 - b - 3) as j*b**2 + h + x*b and give j. 14 Rearrange -v + 28*v**2 + 2*v - v to the form w*v + p*v**2 + n and give p. 28 Rearrange 0*o + o + 2*o - 2*o + 0*o + 6*o + (2 + 0 - 1)*(4 + 2*o - 4) to the form z + l*o and give l. 9 Rearrange (6*i + 0*i - 2*i)*(-1 - 1 + 6)*(-3*i + 3*i + 2*i) to u*i + q*i**2 + v and give q. 32 Rearrange -29*b + 89*b - 21*b to r + w*b and give w. 39 Rearrange (-1 + 3 + 1 + (1 + 1 - 4)*(1 + 1 - 4) - 2 + 5 - 2)*(-7 + 7 - 3*r)*(0 + 0 - 1)*(-3 - 7*r + 3) to the form k*r**2 + c*r + m and give m. 0 Express (-98 - 3*d**2 + d + d + 101)*(2*d - 2 + 2) + d**3 + 0*d**3 + 0*d**3 as r*d**3 + x*d**2 + o + q*d and give x. 4 Rearrange (1050*n - 466*n - 442*n)*(2*n + 0*n - n) to m*n + l + v*n**2 and give v. 142 Express -h**2 - h**2 + 0*h**2 + (4*h - 4*h + h)*(-3*h + 6*h + h) in the form v*h + d*h**2 + o and give d. 2 Rearrange 16*p**2 - 7*p**2 - 5*p**2 to n*p**2 + j*p + t and give n. 4 Rearrange (0 + 2 + 3)*(5*y**4 + y**4 + 0*y**4) to r*y + s*y**3 + b + v*y**2 + d*y**4 and give v. 0 Rearrange s**2 - 6*s**2 + 22*s**3 + 4*s**2 to f*s + m*s**3 + t*s**2 + o and give m. 22 Rearrange 10*k**2 + 7*k**2 - 4*k**2 - k**2 to v*k**2 + t*k + c and give v. 12 Rearrange 26*h - 18*h - 15*h to l*h + a and give l. -7 Rearrange (0 - 3 - 4)*(-3*z + 4*z + 0*z - z + 3*z - 4*z + (-4 + 0 + 3)*(z - 1 + 1) - z + 3*z - 5*z) to d*z + q and give d. 35 Express g**3 - 8*g**4 - 2 - 3*g + 6*g + 10*g**4 as p*g**4 + a*g + k + q*g**2 + i*g**3 and give p. 2 Rearrange (-g**3 + 3 - 3)*(10*g + 20*g - 23*g) + (0*g**2 + 0*g**2 - g**2)*(-3*g**2 + 4*g**2 + 0*g**2) to t*g**2 + j*g**4 + p*g + v + m*g**3 and give j. -8 Express -6*s**2 - 3*s**2 - 4*s**2 as x*s**2 + u*s + r and give x. -13 Express (-788*f + 343*f + 375*f)*(5*f + 2*f - 5*f) as m*f**2 + u + i*f and give m. -140 Express (-v**3 - 4*v**3 + 4*v**3)*(-1 + 1 - 2) + 32*v**3 - 4*v**3 + 49*v**3 + v in the form b*v**2 + f*v + t + m*v**3 and give m. 79 Rearrange (-4 - 4 + 6)*(5*o - 5*o + o)*(-o**3 + 5*o**3 + 0*o**3) - 2*o**4 + 4*o**4 - o**4 to f*o**3 + r*o**2 + g*o + z*o**4 + t and give z. -7 Rearrange -2*u**4 + 2*u**3 - 2*u**3 + (0*u + 4*u - 5*u)*(4*u**3 - 3*u**3 + 0*u**3) to the form p*u + l*u**2 + d + a*u**4 + c*u**3 and give a. -3 Express 4*k**2 - 3*k**2 + k**2 + (-k + 4*k - 2*k)*(-1 + 1 + 2*k) as g*k + o*k**2 + w and give o. 4 Rearrange (-3*x - x + 6*x)*(-x**2 - 3*x**2 + 0*x**2) + (-2*x**3 - 2*x**3 + 7*x**3)*(2 + 0 - 4) to the form y*x + r + s*x**2 + m*x**3 and give m. -14 Express -8*a**2 + 13*a - 13*a + 3*a - a**2 - 3*a - 4*a**2 - 2*a**2 + 4*a**2 + (4*a - 2*a - 3*a)*(-a + 0 + 0) in the form l*a + z*a**2 + c and give z. -10 Rearrange -7*c + 42*c + 123*c + (-3 + 2 + 0)*(1 + 2*c - 1) + c - 3*c + 3*c to the form j*c + v and give v. 0 Express 4*o + 3 + 25*o - 2 as d + k*o and give d. 1 Express 2*o**2 + 403*o - 403*o + 2 as g*o + f*o**2 + s and give g. 0 Express 3*i + 2403 - 2403 + 0*i**3 + 2*i**2 - i**3 in the form k + q*i + d*i**3 + o*i**2 and give q. 3 Express 19*o - 12*o + 12*o as b*o + q and give b. 19 Express n - 4*n + 8*n**2 - 10*n**2 as s + q*n**2 + c*n and give q. -2 Rearrange 10 - 16 + 2*g**2 + 12 to v + p*g + k*g**2 and give k. 2 Rearrange r**4 - r**4 + r**4 + (r**4 - r**4 - r**4)*(1 + 0 + 4) + (3*r**3 + 0*r**3 - 2*r**3)*(-4*r + r - r) to w*r**2 + o*r**3 + p + i*r**4 + j*r and give i. -8 Express -11*u + 4*u - 107*u as c + d*u and give d. -114 Rearrange -16*i + 2 - 3*i**3 + i**3 + 17*i + i**3 to r*i**2 + g*i + f*i**3 + c and give f. -1 Express (-2*y + y + 3*y)*(6 + 10 + 1)*(y + 1 - 1) as w*y**2 + v*y + t and give w. 34 Rearrange 25*z + 10*z + 6*z + 7*z to the form i + t*z and give t. 48 Rearrange -7*a**2 + 1 + 17*a**3 + a + 2*a**4 - 27*a**3 - a to the form y + d*a + o*a**2 + v*a**4 + x*a**3 and give o. -7 Rearrange (0 - q + 0 + (0 + 0 - 1)*(-4*q - 3*q + 6*q) + 0*q + 4*q - 6*q)*(1 - 4*q**3 - 1) to y*q + j*q**2 + k*q**3 + v*q**4 + l and give v. 8 Express -6*t**3 + 3*t**2 + t**2 - 1 + 5*t**3 + t + 4*t**3 as x + a*t**2 + p*t + h*t**3 and give h. 3 Rearrange (9*j + 149 - 72 - 70)*(-j + 1 - 1) to the form q*j**2 + t + f*j and give f. -7 Rearrange (-3 + 3 - 3)*(8*u**2 - 17*u - 9*u**2 + 0*u**2) to the form n*u**2 + l*u + b and give n. 3 Rearrange -16*k - 52*k + 17*k to t + b*k and give b. -51 Rearrange -2*n**4 - 3*n + 10*n**3 - 8*n**3 - 8 + 3*n to k*n**2 + g*n**3 + s*n + u + i*n**4 and give u. -8 Rearrange (-1 + 0 - 1)*(-8 + 4 - v + 1) to the form l*v + h and give l. 2 Rearrange -4*k - k + 4*k to the form d*k + p and give d. -1 Express 0 + 0 - t - t + t + t + (-2*t - t + t)*(1 + 4 - 3) + 5*t - 5*t - 2*t - 10 + 10 + t in the form m + i*t and give i. -5 Rearrange (-3 + 2*k**2 + 3)*(-1 + k + 1) - k**3 + k**2 - k**2 to the form v + o*k**2 + f*k**3 + h*k and give f. 1 Rearrange -13*i + 2*i + 2 + 5*i - 3*i + 6*i - i + (1 + 4 - 3)*(-4*i + 4*i + i) + 1 + i - 1 to the form k*i + m and give k. -1 Express (-2*s - 2*s - 2*s)*(7 + 8 - 8) in the form h + n*s and give n. -42 Rearrange -2*j**3 + 4*j**3 + 3*j**3 + (0*j**2 + 0*j**2 + j**2)*(2*j + 2 - 2) + 1 - 1 + 2*j**3 to the form p*j**3 + w + i*j + h*j**2 and give p. 9 Rearrange 9*b - 10*b - 2*b**4 - b**2 - 1 - b**2 + 5*b**3 to the form d*b**2 + q*b**4 + x*b**3 + z + m*b and give d. -2 Express 12*t**2 + 2*t - 3*t + 0*t + 6*t**2 in the form f*t + n*t**2 + a and give n. 18 Express (-1 + 0 + 0)*(0*z + 0*z - z) + 9*z - 6*z - 11*z + (-3*z + 2*z - z)*(-2 + 4 + 1) - 4 + 4 - z in the form u + l*z and give l. -14 Rearrange ((0*q**2 + 2*q**2 - 4*q**2)*(-6 + 4 + 3) - 2*q**2 + 0*q**2 + 3*q**2)*(-2*q + 1 - 1) to k*q**3 + n*q + b + c*q**2 and give k. 2 Express -q**3 + 3*q**3 - 3*q**3 + (q**3 + 0*q**2 + 0*q**2)*(-12 + 10 - 4) as f*q**2 + p + a*q**3 + z*q and give a. -7 Rearrange 3*o + 3*o**2 + 0*o**2 + o + 4*o to the form f*o + u*o**2 + a and give f. 8 Express -1 - 1 + 3 + 6*p**2 - p**3 as y*p**3 + f + h*p + u*p**2 and give f. 1 Express 6 - 6 - 4*l**2 + (3*l + l - l)*(-2*l + 1 - 1) in the form m*l + j*l**2 + d and give j. -10 Express 6*o + 1 - 7*o + o + o**2 + o**4 as b*o**3 + m + d*o**4 + j*o**2 + c*o and give m. 1 Rearrange -2*j + 9*j**2 - 3*j + 11*j - 3*j to m*j + i + c*j**2 and give m. 3 Express 4*b**2 - b**2 - 4*b**2 - 4*b**2 + 0*b**2 + 3*b**2 + (b + 0*b - 2*b)*(2 + b - 2) - 4*b**2 - 2*b**2 + b**2 in the form c*b + q*b**2 + d and give q. -8 Rearrange -x + 24*x**2 + 4*x**2 + x to o + g*x + c*x**2 and give c. 28 Rearrange -25*n**2 - 12 + 47*n**2 - 23*n**2 to the form j*n**2 + q*n + o and give q. 0 Express -1 + 6*i**2 - 2*i**2 - 3*i**3 - 3*i**2 + i**4 as j*i**3 + q*i + b*i**4 + m + x*i**2 and give j. -3 Express -2*n - 2 + 2 + (n + 6*n - 8*n)*(-1 + 1 - 1) - 4*n + 1 + 0*n + 0*n in the form y*n + b and give b. 1 Rearrange 17*s**2 + 781 - 781 to j + b*s + h*s**2 and give h. 17 Rearrange -3 + 70*k**2 + 2*k**4 + 8*k**3 + 2*k + 3*k**4 - 6*k**3 - 71*k**2 to the form q*k**3 + b + w*k + z*k**4 + x*k**2 and give w. 2 Express (-2*a**2 + 3*a**3 + 2*a**2)*(9 - 1 - 4*a - 7) in the
{ "pile_set_name": "DM Mathematics" }
et q = n - 70. Suppose 5*x + 0 = s - 2, x + s + 4 = q. Are x and -1/41 unequal? True Suppose -14*v - 494 = -18*v + 290. Which is bigger: v or 189? v Let s be 31112/(-128) + 3/48. Which is bigger: -241 or s? -241 Let o = -167907 + 168015.031. Let d = 108 - o. Let x = -0.131 - d. Which is bigger: x or 10.9? 10.9 Let g = -124597/2130 - 4/1065. Is g bigger than -59? True Let l be -2*(-6 + 36/8). Suppose j = -l*v + 8, 1 = -4*v + 13. Which is greater: j or 3/91? 3/91 Let q be 1 + (0 - 3)*5. Suppose 2204*h - 2203*h = 25. Let i be q/36 - h/(-150). Which is bigger: i or -1/3? i Suppose 4*o - 12*o = 4*o. Suppose 6*j + 4*j - 140 = o. Is j <= 7? False Suppose 0 = -4*p - i + 13, -2*p - 18*i + 11 = -19*i. Which is smaller: 117/28 or p? p Let h be (4/1016)/((486/(-40))/(-27)). Is h bigger than 0? True Let s be (-13255)/(-9*(-4)/(-24)). Let m = 8745 - s. Which is smaller: -92 or m? -92 Let z(r) = 5*r - 27 - 31 + 25. Let p be z(7). Are p and 3 non-equal? True Let m = -1211 - -1209. Is -50 less than or equal to m? True Let i be 44 + -4 + 0/2. Let m = -154 + 288. Suppose 2*t = -3*h + m, 0 = -h - 4*t - 34 + 92. Which is greater: h or i? h Let s = 539.1 - 513. Let c = 26.2 - s. Are c and -55/2 non-equal? True Let k be (1/(-6))/(2/(-272)). Let j = k - 482/21. Let c = -4.3032 + 3.5032. Is j > c? True Suppose 0*b = 5*f - 4*b + 506, 0 = -f + 2*b - 100. Which is bigger: f or -110? f Let c = -1671/28 - -4873/84. Suppose -3*w - 2*w - 5 = 0. Which is greater: w or c? w Let h be (-1)/(-4)*28/(-98). Is h bigger than -40? True Let z = -8189/7 - -376701/322. Which is smaller: z or 6? z Suppose 0*l + 4*s = 5*l - 120, -3*s + 5 = l. Suppose 0 = 5*n - 25 + l. Let g be (-1)/2*(-8)/26. Which is greater: g or n? n Let v = 214.6 + -214.49. Which is smaller: -0.182 or v? -0.182 Let i(p) = -p + 13. Suppose -4*g = 4*c - 12, -5*c = -9*c - 5*g + 17. Let k be i(c). Suppose k*b - 13*b + 224 = 0. Does -112 = b? True Let k = -0.19834 - -42361.19834. Which is smaller: 0.1 or k? 0.1 Let o(u) = 182*u + 6189. Let l be o(-34). Let y be (-2)/(-8) + (-94)/(-72). Is y bigger than l? True Suppose 0 = -5*l + 5*a - 448 - 107, 0 = 4*l + 5*a + 480. Which is bigger: -121 or l? l Let i be (3/2)/(-3)*-38. Suppose -i = -2*y + 5. Let h = -953 + 968. Which is smaller: y or h? y Let o = -7/3 + 11/6. Let c = 1.27 - 312.27. Let p = -320 - c. Which is smaller: o or p? p Let x be (-2)/((-18)/21)*(128/(-224))/2. Which is smaller: 14588 or x? x Suppose -9 - 19 = 2*k. Let v(i) = -4*i**3 + 17*i - 3*i**3 - i**3 + 15*i**2 + 9*i**3 - 2. Let n be v(k). Is n > -44? False Let f be ((-20445)/464)/(-47) - (-6)/(-4). Which is greater: f or 1.4? 1.4 Let v(c) = c + 3. Suppose -1 - 7 = -4*r + 5*t, 5*t = 3*r - 6. Let a be v(r). Suppose 0 = -3*f - 0*f - 3*b + 3, -3*f = a*b - 7. Is 5/12 less than f? False Let b be (-348)/66*(-176)/128. Which is bigger: 12/43 or b? b Suppose -466*v = -539*v - 55261. Which is smaller: v or -756? v Let j be (10 - (-123408)/80)*5. Which is smaller: 7765 or j? j Let k(a) = a**3 + 6*a**2 - 3*a - 3. Let w be k(-3). Let z = -412 - -437. Suppose 0 = z*i - 39*i + 476. Which is smaller: w or i? w Let r = -89 + 160. Suppose -2*z = 2*i - 170, 5*z - 532 = 4*i - r. Is 89 equal to z? True Suppose -3*n = -4*a - 5, n = 5*a - n + 8. Let j be 2336/208 - (1 + 11). Which is bigger: j or a? j Let n be 3/(-1)*(20167/(-14))/(15/10). Is n at most as big as 2882? True Let a be 3/5 + 13/(-5). Let b be a/12 - (-14)/(-21). Let l = -1548.6 - -1549.4. Which is smaller: l or b? b Let x(n) = 2*n + 21. Let s = 52 - 42. Let o(z) = -z - 1. Let p be o(s). Let y be x(p). Do y and 6/17 have different values? True Let b = -4278936 + 2524570023/590. Let s = -5/118 + b. Is s greater than or equal to -0.1? False Let p = 3750 + -5119. Which is bigger: -1371 or p? p Let b(d) = 5*d**2 - d + 4. Let u be b(3). Suppose 0 = -2*a - 375*g + 378*g + 84, g = 2. Which is smaller: u or a? a Let a = -4838 + 4712. Is a smaller than -112? True Suppose 138 = 29*c + 109. Are c and 2/2419 non-equal? True Let k = -1042 - -552. Suppose -496 = b + 5*m, -b + 487 = -2*b + 4*m. Is k equal to b? False Let f = 60 + -41. Suppose -4*y - 32 = -4*p, y + 4*y = -2*p - f. Let u be y + 2 - -3 - 2/(-4). Is 0.21 greater than u? False Let q = 217.5017 + 0.4983. Which is smaller: 3 or q? 3 Suppose s - 2 = -2*o, 0 = -o + 3*o - 2*s - 8. Let f be -4*(o + (-2)/4). Is -5 less than or equal to f? False Let c = 37 - 28. Let b = 52 + -26. Let o be 162/39 - 4/b. Does c = o? False Let y be (0 + (9 + -2 + -6)/(-2))*-2. Is y < -1/378? False Let q = 6 - 4. Let g be (8/56*3)/((-6)/(-28)). Suppose 3*u + 22 = g*c, u + 4*c = -0*u - 26. Is u equal to q? False Suppose -484 = -13*s - 471. Is s less than or equal to 2635? True Let k(x) = 31*x + 438. Let j be k(-26). Which is smaller: j or -735/2? j Let d be (444/30*-5)/(2*-3). Which is smaller: d or 13? d Let r be 1/11 - ((-311)/(-6))/((-33)/(-6)). Which is smaller: r or 54? r Let m = -13661 - -13665. Are m and 279/59 equal? False Let j = 4504 + -3556. Is 949 smaller than j? False Let w(l) = -9 + 3*l + 14 + 0 - 43. Let s be w(10). Which is smaller: s or -11? -11 Let s(o) = -o**2 + 57*o + 184. Let v be s(60). Suppose -2 - 22 = 4*q. Let w be 3*(-4)/(-24) - q/v. Are w and -0.2 non-equal? True Let a be (-221*(-4)/16)/(-2 + 54/24). Is 196 bigger than a? False Let l = 0.7 + -1.9. Let x = 1 + l. Let p be 6 + 5 + (-9)/36 + -9 + 1. Is x smaller than p? True Let z(r) = -23*r + 657. Let w be z(52). Which is bigger: -533 or w? -533 Suppose 0 = 3*t - 40*n + 45*n + 5714, 7576 = -4*t + 4*n. Is t at least as big as -1898? True Let x be 5/2*4/(-740). Let s(j) = j**2 - 4*j + 26. Let c be s(14). Let f = -165 + c. Is f at least as big as x? True Let a be (-10*505/10)/1. Let g be (-2)/8 + a/(-20). Which is bigger: 105/4 or g? 105/4 Let x be (-102)/(-8) - 6/4. Suppose -23*s + 20038 = 19900. Is x at most s? False Let z = -0.8615 + -0.0005. Let a = z + -0.138. Is -67 bigger than a? False Let y = 507 - 269. Let d(i) = i**3 - 9*i**2 - 44*i + 134. Let t be d(13). Is y less than t? False Let y = 0.1586 + -28.1586. Is y greater than 11.3? False Let y = -32233 - -32232. Which is smaller: -84/355 or y? y Let c be 8 + -33*(-88)/(-288). Which is smaller: -5/9 or c? c Let o(x) = 14*x + 2. Let m(a) = -a**3 + 3*a**2 - 4*a + 3. Let u be m(2). Let y be o(u). Let d = 580 + -1181/2. Is d at most as big as y? False Let c = 109.05 - 109. Let l be (1 - 0/1)*2. Is c < l? True Let v(n) = -n**2 + 3*n**2 + 0*n + 3*n + n**3. Suppose 0 = 27*x - 26*x + 43*x + 176. Let t be v(x). Is t > -46? True Let f(x) = -167*x - 2023. Let b be f(-11). Is b smaller than -175? True Let n = 2 - -9. Let c = 4.09 - 185.09. Let z = 176 + c. Is n bigger than z? True Let n be (6/(-16))/(47374/20 - (-6)/(-30)). Which is greater: n or 0? 0 Let s = 3 - 1. Let w(l) = 3*l + 23. Let h be w(-7). Suppose -h*m + 2*o - 5*o + 17 = 0, 0 = 5*m - o. Which is smaller: s or m? m Let n(h) = 5*h**3 + 15*h**2 + 5*h - 8. Let y(m) = 11*m**3 + 30*m**2 + 10*m - 16. Let d(j) = -7*n(j) + 3*y(j). Let b be d(-7). Is 11 at most as big as b? False Let w = 29.72 + -29.703. Let s = 10 + -14. Let b = s + 3. Which is smaller: b or w? b Let z = -1.7111 - 3.2889. Let b be 2 - 1/(2/(-4)). Suppose 7*n + 6 = b*n. Are z and n equal? False Suppose 20*w = 14*w + 31*w + 3700. Are w and -159 equal? False Suppose -8*g - 127 = -7. Let s be ((-3)/g)/(1/5) + 0. Let i be (1/(-2) + s)*-2. Which is smaller: i or -11/6? -11/6 Let d(m) = -m**2 - 2*m - 15. Let w = 62 - 62. Let y be d(w). Is y at least -136/9? True Let v = -48228 + 194041/4. Are 281 and v equal? False Let u = -3.1 + 1.1. Let j = -982056/37 - -26542. Which is smaller: j or u? u Let d(k) = 4*k + 29. Let q be d(-10). Suppose 0 = 4*w + 5*b + 11, 6*w - 3*b + 15 = 3*w. Let g be (-2)/3*(-58)/w. Which is greater: q or g? g Suppose 0 = -j - 3, -2*r - r + 36 = -4*j. Let p(f) = -f**3 + 9*f**2 - 18*f + 16. Let b be p(r). Which is smaller: -1/2 or b? b Let y = -3672 + 3654. Which is smaller: -95 or y? -95 Let a be ((-1)/((-1)/15))/3. Let l be (-2)/35*a - (-6)/21. Let k be (4/2)/(1 - 16). Is l > k? True Suppose -4*j = 5*i - 1810, 14*i + 4*j = i + 4674. Is 357 at most i? True Let h be 2*((-275)/(-2))/5. Let t be 1*(-2)/20 - 577448/(-10480). Is t >= h? True Let s = 17957 + -18597. Which is greater: -7/3 or s? -7/3 Let k
{ "pile_set_name": "DM Mathematics" }
? 64 Suppose -5 + 1 = -s, 2*s = 4*w - 8. Let i = w - 1. What is the second derivative of -i*v - 4*v + v**4 + 2*v wrt v? 12*v**2 Suppose 4*s - 4*r = 2*s - 4, 5*s - 14 = 2*r. Find the second derivative of -2*m - s*m + 3*m + 2*m**3 - 4*m wrt m. 12*m Let a(w) = -2*w**3 - 35*w**2 + 3*w - 11. Let v(d) = -3*d**3 - 35*d**2 + 4*d - 12. Let r(b) = 5*a(b) - 4*v(b). What is the second derivative of r(i) wrt i? 12*i - 70 Let g(w) = 11*w**2 - 23*w + 6. Let a(u) = -11*u**2 + 22*u - 5. Let n(p) = 6*a(p) + 5*g(p). Find the second derivative of n(m) wrt m. -22 Let a(i) = -97*i**2 + 15. Let k(m) = -96*m**2 + 15. Let x(l) = 3*a(l) - 4*k(l). What is the first derivative of x(p) wrt p? 186*p Let n(u) = -6*u + 1. Let z be n(5). Let c = z + 31. What is the derivative of -2*y**2 + 12*y**4 + 3*y**c - y**2 + 2 wrt y? 48*y**3 Let t be (-3)/4 + 23/4. Find the third derivative of 26*h**5 + 9*h**2 + 48*h**5 - 51*h**t wrt h. 1380*h**2 Suppose -3*n + 5 = 5*t, 3*t = -n + 2*n + 17. Suppose -2*y - 3*j = -79 - 29, t*y + 3*j = 204. Find the first derivative of -10*m**2 + y*m - 48*m + 7 wrt m. -20*m Let o(z) be the second derivative of -1/2*z**6 + 1/2*z**4 + 0*z**3 + 0*z**2 + 0 + 14*z + 0*z**5. Find the third derivative of o(d) wrt d. -360*d Let v(j) = -j - 8. Let f(h) = h - 7. Let o be f(-5). Let g be v(o). What is the first derivative of 3*l**4 + 0*l**4 - 6*l**4 + 6 - 3*l**g wrt l? -24*l**3 Let d(m) = m - 12. Let h be d(5). Let g(j) = j + 12. Let z be g(h). Find the second derivative of 37*t + t**z - 36*t + 4*t**5 wrt t. 100*t**3 Let w(g) be the first derivative of g**8/16 - 11*g**5/60 - 29*g**2/2 + 8. Let v(k) be the second derivative of w(k). Find the third derivative of v(u) wrt u. 1260*u**2 Let z(p) = 2*p. Let g be z(5). Suppose o = 6*o - g. Find the third derivative of -2*s**o - 3*s**2 + 0*s**2 + s**5 wrt s. 60*s**2 Let q = 9 - 4. Suppose -35 = -9*a + 46. What is the second derivative of a*p**5 - 4*p + 6*p - p**q wrt p? 160*p**3 Find the third derivative of -7*n**2 - 2*n**4 + 16 + 616*n**3 + 27*n**5 - 613*n**3 + 2*n**4 + 58 wrt n. 1620*n**2 + 18 Let l(s) = -137*s**6 + 2*s**4 + 2*s**3 + 6*s**2 - 21. Let o(h) = h**6 - h**4 - h**3 + 1. Let x(w) = -l(w) - 2*o(w). What is the third derivative of x(d) wrt d? 16200*d**3 Suppose -2*i + 3*v + 16 = 0, 0 = 2*v + v + 6. Suppose -5*o = -2*o. What is the first derivative of 2 + o + i*r + 1 wrt r? 5 Let y(t) be the first derivative of 119*t**4/4 + t**2/2 + t - 4. Find the second derivative of y(b) wrt b. 714*b Differentiate -27 - 43 + d**4 - 2980*d**3 + 2984*d**3 + 12*d**4 wrt d. 52*d**3 + 12*d**2 Let n(b) be the second derivative of -5*b**7/42 - 3*b**5/10 + 11*b**4/3 - 5*b - 6. Find the third derivative of n(a) wrt a. -300*a**2 - 36 Suppose 5*f = -d - 6 + 19, f = 5*d - 13. Suppose 2*x - 31 + d = 0. Find the first derivative of -19 + i**2 + 9 + x wrt i. 2*i Suppose 2*f - 27 - 11 = 0. Let h = -10 + f. What is the second derivative of 2*k - 3*k**2 - h*k + 4*k**2 wrt k? 2 What is the second derivative of -135*k - 71*k**4 - 71*k - 113189*k**2 + 113188*k**2 wrt k? -852*k**2 - 2 Let d(a) = 28*a**3 + 5*a + 11. Let h(w) = 19*w - 18*w + 2*w**3 + 4*w**3 - 5*w**3. Let u(v) = d(v) - 5*h(v). What is the derivative of u(z) wrt z? 69*z**2 Let l(u) be the second derivative of 34*u**6/15 - 3*u**3 + 2*u**2 - u + 43. What is the second derivative of l(d) wrt d? 816*d**2 Let f(n) be the second derivative of -n**6/12 - n**5/60 - 5*n**2 - n - 2. Let c(w) be the first derivative of f(w). Find the third derivative of c(i) wrt i. -60 Let h = 24 - 20. What is the first derivative of 16 + 8*t**4 + 9*t**h - 3 - 4*t**4 wrt t? 52*t**3 What is the second derivative of 31*o + 5*o**2 + 85*o - 105*o**2 wrt o? -200 Let m(g) be the second derivative of -3*g**5/2 + 7*g**4/12 - 2*g**2 + 2*g - 3. Find the third derivative of m(i) wrt i. -180 Let d be 32/(-40) - (-2)/(-10). Let y be 3 + (d - 0) + 2. Differentiate 5*j + 4 - 5 + y - 4*j with respect to j. 1 Let i = -209 + 214. Let u(y) be the third derivative of 0*y**6 + 0 - y**2 + 1/6*y**3 + 0*y**4 + 1/105*y**7 + 0*y**i + 0*y. What is the derivative of u(o) wrt o? 8*o**3 Let m(a) be the second derivative of 0 - 2/3*a**4 + 0*a**3 - 6*a - a**2. What is the derivative of m(u) wrt u? -16*u Let k(d) be the first derivative of 478*d**3/3 - 239*d - 550. Differentiate k(a) with respect to a. 956*a Let z = -8 + 15. Find the first derivative of 2 + z*h**4 - 89*h + 89*h wrt h. 28*h**3 Suppose -4*g + x = -7, 4*x - 4 = -0. What is the second derivative of 75*t + 65*t - 28*t**g - 161*t wrt t? -56 Let j(z) = z - 11. Let n be j(13). Find the first derivative of -3 - n*t**2 - 7*t**2 + 10 wrt t. -18*t Suppose -5*v - 9 = -149. Suppose 4*k - v = -3*k. What is the second derivative of -12*t + 13*t**4 - 7*t**k + 5*t**4 wrt t? 132*t**2 Suppose 6 = -2*n, -4*n + 3 = 3*r - 3*n. Find the third derivative of -3 + 9*m**5 + 1 - 3*m**r + 2 wrt m. 540*m**2 Let o(s) be the third derivative of 44*s**2 + 0*s**3 + 0*s**4 + 1/6*s**5 + 0*s**7 + 0 + 0*s + 0*s**6 - 29/336*s**8. What is the third derivative of o(q) wrt q? -1740*q**2 Let t(k) = -595*k**2 - 611*k - 13. Let o(f) = 149*f**2 + 153*f + 3. Let a(l) = -26*o(l) - 6*t(l). Find the second derivative of a(y) wrt y. -608 Let t(n) = 505*n - 821. Let w(a) = -253*a + 411. Let d(k) = 5*t(k) + 9*w(k). Differentiate d(m) wrt m. 248 Let s be (0 + 2)*6/4. Let h(o) be the second derivative of 0*o**s + 0*o**2 + 1/6*o**4 + 0*o**5 + 0 + 1/6*o**6 + 3*o. Find the third derivative of h(z) wrt z. 120*z Differentiate -250*l**2 + 590*l**2 + 10 - 299*l**2 wrt l. 82*l Suppose 4*k + 38 = -30. Let s = -15 - k. Find the third derivative of -18*q**3 + q**s + 31*q**3 - 16*q**3 wrt q. -18 Let b(p) = 2*p**4 - 4*p**2 + 4*p + 16. Let q(r) = -r**4 + r**2 - r - 1. Let g(k) = -k**2. Let d be g(-2). Let n(j) = d*q(j) - b(j). Differentiate n(f) wrt f. 8*f**3 Find the third derivative of -173*q**5 + q**2 - 167*q**5 + 2*q + 335*q**5 + 14*q**4 wrt q. -300*q**2 + 336*q Let u(m) be the third derivative of 151*m**7/210 - 37*m**3/2 - 104*m**2 - m. Differentiate u(d) wrt d. 604*d**3 Let l be 324/28 - (-12)/(-21). Find the second derivative of l*h**2 + 1 - h**2 - 1 - 16*h wrt h. 20 Suppose -w + 2*l - 5*l = -15, 3*l = 2*w + 6. Find the first derivative of 10 - 3*t**w - 20*t + 20*t wrt t. -9*t**2 Suppose -2*a + 240 - 74 = 0. Suppose 6*k - a = -17. What is the third derivative of -65*z**3 + k*z**4 + 65*z**3 + 12*z**2 wrt z? 264*z Let b(s) = -413*s - 375. Let q(j) = 205*j + 188. Let d(r) = 6*b(r) + 13*q(r). What is the derivative of d(p) wrt p? 187 Let b(t) = 2*t**2 + 22*t + 65. Let x be b(-6). Let i(f) be the first derivative of -x*f + 2 - 5/2*f**2. What is the first derivative of i(y) wrt y? -5 Let q(a) = 79*a**3 + 3*a**2 - 12*a + 1. Let h(o) = o**2 + o - 1. Let g(f) = -3*h(f) + q(f). Find the second derivative of g(i) wrt i. 474*i Find the third derivative of -54*m**2 + 61*m**3 + 3*m**6 + 8*m**6 - 61*m**3 wrt m. 1320*m**3 Suppose 8 = 5*w + 18. Let i be (0 - 0)/(-1) - w. Find the first derivative of -i*m**4 - 9 - 1 + 7 wrt m. -8*m**3 Let d(x) be the third derivative of x**5/60 + 3*x**4/4 - 79*x**3/3 + 135*x**2. Differentiate d(l) wrt l. 2*l + 18 Let w(p) = -38*p**2 + 6. Suppose -f = 3*l + 12 + 3, -3*f - 29 = 5*l. Let k(h) = 1. Let x(s) = l*k(s) - w(s). Differentiate x(c) wrt c. 76*c Let p(g) be the third derivative of 0 - 2/15*g**6 + 0*g**4 + 25*g**2 - 1/6*g**3 + 0*g**5 + 0*g. What is the derivative of p(c) wrt c? -48*c**2 Let s(d) = -95*d - 39. Let r(q) = 191*q + 80. Let f(u) = 3*r(u) + 7*s(u). Find the first derivative of f(x) wrt x. -92 Let v(n) be the first derivative of -n**9/3024 - n**6/24 + 13*n**3/3 - 7. Let k(o) be the third derivative of v(o). Find the third derivative of k(i) wrt i. -60*i**2 Suppose 2 = c - 0*c. Suppose 0 = -c*z - 3*z + 25. What is the second derivative of -1 - 3*r - 4 - 5*r**3 + z wrt r? -30*r Suppose -4*f = 14 - 34. What is the first derivative of -16 + 32 + f*y**4 - 22 wrt y? 20*y**3 Let h(l) = 168*l**3 + 97*l**2 - 8. Let b(t) = 112*t**3 + 64*t**2 - 5. Let c(i) = 8*b(i) - 5*h(i). What is the third derivative of c(w) wrt w? 336 Let u = 86 - 86. What is the first derivative of u + 11 - 2*y**2 - 1 + 6 wrt y? -4*y Suppose 0*x - 3*x = -4*k - 31, -x = 5*k + 15. Let v be (-33)/(-15) + (-1)/x. What is the derivative of 397*g + 8 - 4
{ "pile_set_name": "DM Mathematics" }
**2 + 2*r**3 + 4*r**3. 7*r**3 + r**2 Expand (-4*q**3 + 3*q**2 - 3*q**2)*(-2 + 2 + 2*q**2 - 3). -8*q**5 + 12*q**3 Expand 4*a**3 + 0*a**3 - 2*a**3 + (-1 + 3 - 1)*(-2*a**2 + 2*a**2 + a**3) + (-12*a**2 - 18 + 18)*(-3*a + a + 0*a). 27*a**3 Expand -2*o**4 + 1 - 1 + (0*o**3 - 4*o**3 + 2*o**3)*(-2*o + 0*o + 0*o) + 22*o**2 - 22*o**2 + 24*o**4. 26*o**4 Expand (-2 + 0*m - m + 3*m)*(-2*m**2 - 5*m - m + 4*m). -4*m**3 + 4*m Expand (383*x - 827*x + 319*x)*(2 - 2 + 2*x**2). -250*x**3 Expand (3 + 6 - 3)*(0*x**4 + x**4 + 5*x**4). 36*x**4 Expand (1 - 2*u - 1)*(13 + 14 + 19). -92*u Expand -5*i + 2*i + 4*i + (4 + i - 4)*(-5 + 4 + 4). 4*i Expand (969*s - 8*s**2 - 969*s)*(3*s**2 - 3*s**2 + 2*s**2). -16*s**4 Expand (0 + 3 - 1)*(-2 + 2 - z)*(8*z**3 - 5*z**3 - 16*z**3 + (-1 + 1 - 2*z)*(z**2 + z**2 - 3*z**2) - 1 - 2*z**3 + 1). 26*z**4 Expand (-2 - 2 + 0)*(2*r**2 - 2*r**2 - 2*r**2). 8*r**2 Expand (-3*j + 3*j - j)*(-j + 0 + 0 - 2*j - 4 + 4 + (0*j - 2*j + 0*j)*(2 + 1 - 5))*(-1 - 1 - 1). 3*j**2 Expand (4*b**2 + 6*b**2 - 8*b**2)*(2*b**3 + 0*b**3 - 5*b**3 + (2*b + b - b)*(0*b**2 + b**2 + b**2)). 2*b**5 Expand (6*q - q + q)*(-2*q**2 - 2*q**3 + 2*q**2) - q**4 + 8*q**4 - q**4. -6*q**4 Expand (-2 + 2 + 2*w**3)*(3*w - 6*w + w). -4*w**4 Expand (k**4 + 4*k**3 - 4*k**3)*(0 + 2*k + 1 + 1 + (k - 4*k + 15*k)*(1 + 1 + 0)). 26*k**5 + 2*k**4 Expand (2*i + 2*i + 2*i)*(-3*i**4 - 4*i**4 + 4*i**4) - 3*i**2 - i**5 + 3*i**5 + 2*i**2. -16*i**5 - i**2 Expand (k - 2 + 2)*(-2 - 5 - 4)*(-4 + 1 + 1)*(0*k - 2*k + 0*k)*(-3 - 2 + 1). 176*k**2 Expand (-m + m - m**2)*(-3 + m**2 + 3) - 1 - m**4 + 1 + (-m - 3 + 3)*(3*m**2 - 3*m**3 - 3*m**2) + m**4 - 2 + 2 + (0*m**4 - 4*m**4 + 3*m**4)*(5 - 3 - 3). 3*m**4 Expand (-25*d + 65 - 65)*(-2 + 2 - 2*d**2). 50*d**3 Expand 4*j - j**3 - 4*j - 21*j**3 + 6*j**3 - 9*j**3 - 4*j**3 + 2*j**3 + 0*j**3 + (j + 5*j - 4*j)*(-5*j**2 - j**2 + 4*j**2) - j - 2*j**3 + j. -33*j**3 Expand -4*y**2 + 3*y**2 - 2*y**2 + (y + y + 0*y)*(-2*y + 0 + 0) - 4*y + 4*y + 2*y**2 + y**2 + 0*y**2 + 0*y**2 - 8*y**2 + 13*y**2 + 8*y**2 - 1 + 1 - 2*y**2. 7*y**2 Expand (-5*i**3 - 1 + 1)*(-5 + 2 - 2). 25*i**3 Expand (-1 + 2 + 1)*(2*b + 0*b + 0*b) + 2*b - 2*b + 2*b - 2*b - 2*b + 2*b - 3 + 3 + 2*b + 0*b + 4*b + 0*b - 2*b - 6 + 6. 8*b Expand (16 - 1 + 1)*(0 + 0 - 2*i**2). -32*i**2 Expand -2*x + 5*x - x + 1 - 1 + x + (0*x - 2*x + 3*x)*(3 - 1 - 1). 4*x Expand (-c + 5*c**2 - c - c)*(0*c**2 - c**2 - c**2). -10*c**4 + 6*c**3 Expand (1 - v**2 - 1)*(-1 + 2 + 2)*(1 - v - 1)*(-4*v + 4*v + v**2). 3*v**5 Expand -4*s**2 + 4*s**2 + 6*s**3 + (-2*s + 4 - 4)*(-s**2 + 0*s**2 + 3*s**2). 2*s**3 Expand 0 + 0 - 2*t**4 + (-2*t**2 + 0*t**2 + t**2)*(0 + 0 + 2*t**2) - 7*t**3 - t**4 + 33*t**3 + 35*t**3 + t**4 - t**4 + t**4. -4*t**4 + 61*t**3 Expand (-2*f**4 + f**4 - f**4)*(2 + f - 2) - f**3 + f**5 + f**3. -f**5 Expand (u**2 + u - u + 2*u**2 - 3*u**2 + 3*u**2 + (11 - 4*u - 11)*(0*u - 4*u + 3*u))*(-1 - 1 + 3)*(u**2 + 0 + 0). 7*u**4 Expand -3*s**5 - 2 + s**5 - 5 - s**5 + 3*s**5 - s**5 - 3*s**5 + 5*s**5 - 3*s**5 + (-4*s**2 + s**2 + s**2)*(3 + s**3 - 3). -4*s**5 - 7 Expand (-11 + 11 - 8*q)*(2*q - q**3 - 2*q). 8*q**4 Expand (0 - 1 - 1)*(-7 - 4 - h - 2). 2*h + 26 Expand (2*y + 4*y - 2*y)*(0 + 2 - 1) + (2 + 4 - 4)*(-2 + 2 + 2*y) + 4*y - 3*y - 3*y + 4 + 2*y - 4 - 5*y + 0*y + 3*y. 6*y Expand -5*c + 5*c - c**3 + 2 - 2 + 2*c**3 + (c - 2*c + 0*c)*(2*c**2 - 5*c**2 + 2*c**2) - c**3 + 2*c**3 + 2*c**3 - 2*c**3 + 7*c**3 - 3*c**3. 7*c**3 Expand (u + 5 + 0 + u**2 - 9)*(2 - 4 + 4). 2*u**2 + 2*u - 8 Expand -4*v**2 + 4*v**4 - 3*v**2 + 8*v**2 + v**4 - 3*v + 3*v + (-3*v + 3*v + v**4)*(-2 + 4 - 3) + 0*v**4 + 0*v**4 - v**4. 3*v**4 + v**2 Expand (j**2 + 4*j**2 - 3*j**2)*(59*j**2 + 164*j - 164*j + 2). 118*j**4 + 4*j**2 Expand (3*g**3 + 2*g**3 - 7*g**3)*(2*g - 5*g + 2*g) + (7*g - 14*g - 14*g)*(-2*g**3 - 3*g**3 + 3*g**3). 44*g**4 Expand (h**2 - 3*h**2 - h**2)*(-9*h - 12*h + 20*h) + (h - h - 2*h)*((-3*h - 3*h + 4*h)*(-2*h + 4*h - 4*h) - 3 + 3 + 2*h**2). -9*h**3 Expand (-y + 3*y + 2*y)*(y**2 - y**2 + 6*y**3) - 2*y**4 + 0*y**2 + 0*y**2. 22*y**4 Expand (-3 + 2 - 2)*(2 + 4*q - 3*q**2 - 4*q)*(q**2 + 5*q**2 - 4*q**2). 18*q**4 - 12*q**2 Expand (-441 + 17*g**2 + 441)*(0*g**3 + 2*g**3 - 3*g**3 + (3 - 3 - 2)*(-1 + 1 - 2*g**3) + 0*g**3 + 4*g**3 - 2*g**3). 85*g**5 Expand (-2 + 0 + 1)*(-s + 2 - 2) + s - 2*s - 2*s + (-3*s + 4*s + 2*s)*(0 + 0 + 2). 4*s Expand (2*u - 2*u + 2*u**2)*(1 + 18*u**2 - 9*u**2 - 10*u**2 + 6*u). -2*u**4 + 12*u**3 + 2*u**2 Expand (5*u**4 - u**4 - 3*u**4)*(5 + 47*u - 3 - 3). 47*u**5 - u**4 Expand 2*q**5 + 3*q - 3*q - 3*q**5 + q**5 + 3*q**5 + (-1 - q**2 + 1)*(-q**3 - 4*q**3 + 4*q**3) + 10*q**4 - 3*q**5 - 10*q**4. q**5 Expand (-2*l - 4*l - 3*l)*(-4*l + l - 4*l). 63*l**2 Expand 0*l**3 + 3*l**3 - 4*l**3 + (0 - l + 0)*(2*l**2 + l**2 - l**2) - 1 - 2*l**3 + 1 + 2*l**2 - 2*l**2 - l**3 - 105*l + 105*l + 122*l**3. 116*l**3 Expand (4 - 4 - o**2)*(-4 + 2 - 4) + 0 + 2*o**2 + 0. 8*o**2 Expand (1 - 3 + 1)*(3 - 4*j + 2*j - 2*j)*(-2*j**2 + 2*j**3 + 2*j**2). 8*j**4 - 6*j**3 Expand (-5*p**2 + 2*p**2 + p**2 - 3 + (-8*p - 14 + 14)*(-4*p + p + p))*(-3*p**2 - p**2 + 2*p**2). -28*p**4 + 6*p**2 Expand (2*a - 5*a + a)*(-a**4 - 7*a**4 + 13*a**4). -10*a**5 Expand (-y + 2*y + y + (2*y - 5*y - 2*y)*(-4 + 4 + 2) + 3*y - y - y)*(-y - y**4 + y). 7*y**5 Expand (-4 + 4 - 1)*(2*m**3 - m**3 + 2*m**3)*(m + 0*m - 3*m). 6*m**4 Expand 2*w - 3 + 3 + (-1 - 2*w + 1)*(4 - 3 - 3) - w + 4*w - 4*w - w - w + 0*w. 3*w Expand m**5 + 4*m**5 - 4*m**5 + (12*m**4 - 5*m**4 + 3*m**4 + m)*(-m + m + 2*m). 21*m**5 + 2*m**2 Expand (-4*i + 2*i**3 + 4*i)*(5*i - 3*i - 3*i) + (5 - 5 + 6)*(3*i**2 - 3*i**4 - 3*i**2) - 2*i**4 + 4*i**4 - i**4. -19*i**4 Expand (-4*h + 3*h + 3*h)*(12*h + 9*h + h). 44*h**2 Expand -j**5 + 0*j**5 + 3*j**5 + (2*j + 0*j + 0*j)*(-j**4 + 2*j**4 + j**4) + (3*j**4 - 5*j**4 + 4*j**4)*(3 - 3 + j). 8*j**5 Expand ((2 + 2 - 5)*(0 + 2 + 0) + 0 - 1 - 1)*(-224 + 224 - 8*v**3). 32*v**3 Expand -3*b**2 - 2*b**4 + 3*b**2 + (3 - 3 + b)*(b**3 - 5*b + 5*b) + 5*b**4 - b**4 - 3*b**4 + 3*b**2 + 2*b**4 - 3*b**2. 2*b**4 Expand (h - h - h)*(2*h - h - 3*h). 2*h**2 Expand (-36 + 36 - 46*j)*(-2*j + 0*j + j - 1). 46*j**2 + 46*j Expand (2 - 5 - 3)*(2*j + 0 + 0 - 3). -12*j + 18 Expand (2 - 2 + w**3)*(2 - 6*w + 4*w + 0*w). -2*w**4 + 2*w**3 Expand (a + 3*a - 5*a)*((1 + 1 + 2)*(2*a + 0 + 0) - 3 + 3 - a). -7*a**2 Expand (3*l + l - 5*l)*(6*l**3 - 24*l**2 + 24*l**2). -6*l**4 Expand -i**3 + 0*i**3 + 9*i**3 + (2*i - i - 2*i)*(1 + i**2 - 1) - 5*i**3 - 3*i**3 + 4*i**3. 3*i**3 Expand (2*m - 2*m**2 - 2*m + 0*m**2 + m**2 + m**2 + (m + 2*m - m)*(-2*m + 2 - 2) + 4*m**2 - m**2 - 2*m**2)*(-15*m**2 - 21*m**3 + 15*m**2)*(-3 + 2 + 3). 126*m**5 Expand (0 - 3 - 2)*(6*s - 4*s - s)*(0 - 5 + 4). 5*s Expand 3 - 2*q**2 - 3 + (4 - 5*q - 4)*(5 - 2*q - 5). 8*q**2 Expand (-4 - 2*c + 0*c + c)*(-2 + c + 2). -c**2 - 4*c Expand -z**2 + z**2 - 2*z**3 + (6*z - z - 4*z)*(-3*z**2 + 0*z**2 + 5*z**2) + 3*z**2 - 3*z**2 + 3*z**3. 3*z**3 Expand (4*d**2 - 3*d**2 - 3*d**2)*(-2*d - d**2 + 0 + 2 - 3*d**2). 8*d**4 + 4*d**3 - 4*d**2 Expand (8 - 8 + 3*y)*(3 - 1 - 1)*(2 - 11 - 1). -30*y Expand (-22 - 12*j**2 + 22)*(2*j + 0*j + 0*j + (-j + 2*j + 0*j)*(-1 + 3 - 3)). -12*j**3 Expand (-c - c + c)*(28 + 42 + 38). -108*c Expand -l**4 + 2*l**5 + l**4 + 3*l**5 - l**5 + 0*l**5 + (2*l**4 + l**4 - 5*l**4)*(3*l + 0*l + 0*l). -2*l**5 Expand (3 + 1 + 0)*(1 + 0 + 0)*(0*p**2 - 2*p**2 + 0*p**2). -8*p**2 Expand (2*b**3 + b**3 - b**3)*(-8 + 9*b + 8)*(b - 2*b - b). -36*b**5 Expand -z**2 + z**2 - 3*z**2 + (-1 + 0 + 3)*(0*z**2 + 0*z**2 - 4*z**2) + 0*z - 2*z**2 + 0*z. -13*z**2 Expand 7 - 7 + f**2 + (-2 - f**2 + 2)*(-1 - 3 + 3) - 3 + f**2 + 3 - f**2 + 2*f - 2*f. 2*f**2 Expand (-g**3 - 5*g**3 + 5*g**3)*(-1 + 1 - 2)*(-3*g**2 + 2*g**2 - 4*g**2). -10*g**5 Expand (-o - 2*o + o)*(-7*o + 4*o**2 + 0*o - 9*o). -8*o**3 + 32*o**2 Expand (-2*m - m**2 + 2*m)*(-2*m**2 + 0*m**2 + m**2) - 3*m**4 - 2*m**4 + 3*m**4 + 999*m**3 - 999*m**3 - 31*m**4. -32*m**4 Expand -13*j - 60 + 60 - j + 2*j - 2*j + (3 - 5 + 1)*(-2*j + 4*j - j) - 3*j - j + 3*j + 2*j - 3*j + 2*j - 4 + 4 - j + 2. -16*j + 2 Expand (y + 1 - 1)*(13 - 9 + 8)*(-3 + 2 - 1). -24*y Expand (0 - 2 + 0)*(5 - 1 - 3)*(3*h**3 - 2*h**3 + h**3) - 187*h**2 - 3*h**3 + 187*h**2. -7*h**3 Expand t**5 + t**5 - 3*t**5 + (-t**3 + 3 - 3)*(6*t**2 + 3*t**2 - 4*t**2). -6*t**5 Expand (-2*
{ "pile_set_name": "DM Mathematics" }
of -29/38 and u? 114 Let v(r) = -2*r + 18. Let i = -7 - -23. What is the least common multiple of i and v(-6)? 240 Suppose 0 = r + 2*r - 6. Find the common denominator of (-3)/((11/(-33))/(r/(-96))) and 143/18. 144 What is the common denominator of ((-476)/147 - 10) + 11 and -2/21? 21 Let n be 33/(-11) + 5428/1809. Let l = n + -39199/7236. Calculate the common denominator of -1/6 and l. 12 Let h = 82 - 70. Suppose 0 = 3*v - 3*u, -v + 0*u = -3*u - 6. What is the lowest common multiple of 23 + v - (0 - 2) and h? 132 Let f = 42705273 - 3546830233/83. Let v = f + 27621. Let i = v - 7741/830. Find the common denominator of i and -47/5. 10 Let d(s) = -s**3 - 9*s**2 - 4*s + 11. Let y be d(-8). Let k be 1779/y + 2/(-7). Find the common denominator of 33/14 and (2/12)/(2/k). 84 Let q = 3229/15 + -13019/60. Calculate the common denominator of -187/60 and q. 60 What is the common denominator of 71/36 and -4 - (8 - (-129)/18)? 36 Suppose -2*o - 3*o + 150 = 2*z, o - 30 = -3*z. Let a = -19 + o. Calculate the common denominator of 79/6 and (-33)/a - 274/(-36). 18 Let i be 744968/(-220) + (-2)/11. Let k = -11208969/3310 - i. Let p = -7625/2648 + k. Calculate the common denominator of p and -3/22. 88 Let v(p) = p**3 - 8*p**2 + 7*p - 8. Let l be v(8). Suppose 6*w + l = 14*w. Calculate the lowest common multiple of w and 13. 78 Let m = 12360355719 + -540382391762198/43719. Let b = m - -36/1121. Find the common denominator of b and -64/9. 117 Let b = 1838 - 7395/4. What is the common denominator of -4/183 and b? 732 Let a = 923/2 - 497. Let l = 5823/2266 + 24/1133. Calculate the common denominator of l and a. 22 Let h(u) = u**3 - 9*u**2 - 10*u + 9. Let z = 8 - -2. Suppose -2*i + 8 = -5*s, 5*i - 2*i - 29 = -s. What is the least common multiple of h(z) and i? 9 Let a = 1/10758 - -123685/344256. What is the common denominator of a and 17/32? 64 Let o = -4 + 7. Let f(c) be the second derivative of c**4/6 - 2*c**3/3 + c**2 - 82*c + 2. What is the least common multiple of 20 and f(o)? 40 Let n be (-2*19/2180)/(2/(-628)). Let i = 8/109 - n. Calculate the common denominator of i and ((-134)/25)/(8/(-10)). 10 Let r = 88 - 962/11. What is the common denominator of r and (-2 - -3)/(9/(-67))? 99 Let k(m) = -m**3 - 5*m**2 + 13*m + 3. Calculate the lowest common multiple of k(-7) and 5. 10 Let q(s) = -3*s + 9. Let k be q(-6). Let c = 39 - k. Suppose -7*y + 3*y = -c. What is the lowest common multiple of 5 and y? 15 Let u = 1876157/42 + -44668. Find the common denominator of u and 1/(-7) - 8341/2128. 336 Let d = 230643822413/15184334 - 33/690197. Let k = 15193 - d. Calculate the common denominator of -107/26 and k. 286 Let w be (1*2)/((-8)/28). Calculate the smallest common multiple of 7 and 4 + w - (-3 + -1). 7 Let w = 37275/68 + -547. What is the common denominator of 79/44 and w? 748 Suppose -5*g = 2*p - 39, 2*p - g = p + 23. Suppose -4*n + p = 7*n. What is the least common multiple of 2 and n? 2 Let g = 35 - -29. Let s(t) = t**3 + 6*t**2 - 8*t + 7. What is the lowest common multiple of s(-7) and g? 448 What is the least common multiple of (0 + (-24)/9)*(51 + -321) and 14? 5040 What is the common denominator of 55/42 and (66/455)/((-36)/(-120))? 546 Let t be ((-3)/(-75))/(12/58410). Let h = t + -35681/180. What is the common denominator of -75/8 and h? 72 Let f(r) be the first derivative of r**2/2 + 2*r - 2. What is the lowest common multiple of 7 + (-6 - -3) - -3 and f(6)? 56 What is the common denominator of 13/14 and ((-1445)/120 - -12)*52/55? 2310 Let o = -3/21314 - -1204271/213140. Find the common denominator of o and 57/74. 740 Suppose 2*x + 5*s = -7, -5*x + 3*x + 4*s = -20. Let c be (151/12)/(x/(-632)). Let n = -1972 - c. Find the common denominator of n and 27/14. 42 Let b = -8040/3289 + -3/299. What is the common denominator of b and 76/3? 33 Suppose 0*d + 5*d - 3*c + 837 = 0, 2*d - 3*c + 333 = 0. Calculate the common denominator of (d/(-27))/((-2)/(-6)) and (-3)/2*32/504*87. 21 Let t(s) = 7*s**2 - 1 + 3*s - 8*s**2 + 2. Let u(v) = -v**3 + 20*v**2 - 35*v - 18. Let r be u(18). Calculate the smallest common multiple of 10 and t(r). 10 Let g = -2359/96 + 45/32. Let c = 4230247/64 - 66099. Calculate the common denominator of c and g. 192 Let w = -5553467/180 + 30852. Find the common denominator of 7/27 and w. 540 Let i = 14231/3096 - -5/344. What is the common denominator of 508/(-120) - (1 - 2) and i? 90 Let v(y) = -2*y**2 - 99 - 14*y + 131 + 2*y + y**2. Calculate the least common multiple of v(-14) and ((-17)/(-5) + -1)*5. 12 Suppose -49 = -19*i + 1091. Calculate the smallest common multiple of 70 and i. 420 Suppose 15*f = 58*f - 2193. What is the least common multiple of 10 and f? 510 Suppose -2366*z = -2375*z + 99. Calculate the least common multiple of z and 46. 506 Let i = 174 + -164. Let u(h) = -h**3 + h + 4. Let x be u(0). Suppose -x*l + 18 + 2 = 0. What is the least common multiple of i and l? 10 Let s = 66565639/6710 - 109126/11. What is the common denominator of s and 7/40? 2440 Let r be 2/(3/(-60)*2). Let p = -12 - r. Calculate the smallest common multiple of 6 and p. 24 Let o(a) = 15*a**3 + 3*a - 6. Let p be o(2). What is the common denominator of 2 - (27/5 + 0) and 81/p*12*-1? 10 Find the common denominator of ((-610)/120)/((18/(-8))/3) and (3/(-10))/(72/250). 72 Let u = -202457/18 + 11256. Find the common denominator of u and 11/386. 3474 Let t be 186/24 - 9/12. Let p(y) = -y**2 + 6*y + 8. Let i be p(t). Suppose -i - 3 = -2*b. Calculate the smallest common multiple of 10 and b. 10 Let l = -793 + 949. What is the lowest common multiple of l and 36? 468 Find the common denominator of 15/8 and (-9*1010/(-840))/(6/(-4)). 56 Let c be (-1166)/(-26) - 4/(-26). Let b be (-21873)/c + (-2)/(-12). Let r = b + 487. Find the common denominator of r and 21/22. 110 Let i be (3 + 57/(-15))*-5. Suppose 14 = 5*z - i*z. What is the lowest common multiple of 12 and z? 84 Let s = -1/6919 + -463558/103785. Find the common denominator of (5/(-162))/(112/(-105) - -1) and s. 270 Let t = -123 + 204. Calculate the smallest common multiple of 45 and t. 405 Suppose 0 - 4 = -2*w. Suppose -40301 = -w*k + 2639. Let j = -386365/18 + k. What is the common denominator of j and 7/12? 36 Suppose -813 = 11*n - 2551. Calculate the lowest common multiple of 7 and n. 1106 Let j(l) = -l**3 - 12*l**2 - 11*l + 4. Let r be j(-11). Calculate the least common multiple of 64 and (18/r + -3)*(7 - -1). 192 Suppose 988 = 12*d - 452. What is the smallest common multiple of d and 135? 1080 Suppose 0 = 29*g - 30*g + 29. Calculate the smallest common multiple of 8 and g. 232 Let b = -11 + 51. Suppose -g + b = g. Let u = -15 - -19. What is the lowest common multiple of g and u? 20 Let y = -3187 + 86027/27. Find the common denominator of -119/18 and y. 54 Find the common denominator of 53/374 and 9 - (1 - 17465/(-2142)). 3366 Let w(y) = 4*y**2 + 12*y + 6. What is the smallest common multiple of w(-4) and 898? 9878 Let l(q) = q**3 + 7*q**2 + 3*q + 1. Let y(r) = -286*r - 836. What is the smallest common multiple of y(-3) and l(-5)? 396 Suppose 0 = 2*c - 4*c - 2. Let p = -36 + 44. Calculate the lowest common multiple of (c/(-2) - 0)*12 and p. 24 What is the least common multiple of (40/(-16) - -3)*4 and 86? 86 Calculate the least common multiple of (18/(-14))/((-44)/308) and 1*9*20/6. 90 Suppose -8 = 2*i - 10. Calculate the smallest common multiple of (4/6)/(3/18) and i. 4 Let t = -608/35 + 88/7. What is the common denominator of t and (-455)/(-21)*((-9)/6)/1? 10 Let j = 3263/2980 - -3/596. Calculate the common denominator of j and (8055/(-42))/(-15) - 6. 70 Let n = -49 + 45. What is the common denominator of (-279)/54 + 3 + n and (-10)/(-6)*46/10? 6 Let i = -71383/10 - -7131. Calculate the common denominator of i and -89/20. 20 Let d = -1249/2 + 602. Find the common denominator of d and (-2)/((-30)/(-8) - 6/(-24)). 2 Let a = -2/28367 + -3375493/2553030. Calculate the common denominator of a and 22/105. 630 Let f = 308 - 303. Suppose 4*q = 18 + 18. Suppose f*o + 17 = -y, 3*y + 5*o = 2*o + q. What is the lowest common multiple of 6 and y? 24 Let k = 25 - 17. Let m be ((-2)/12)/(k/25674). Let t = -541 - m. Find the common denominator of t and -18/7. 56 Suppose -2*q + 9 - 1 = 0. Let z = -4 + q. Suppose z = 5*g -
{ "pile_set_name": "DM Mathematics" }
-11*f**3 + 4*f + 2 Suppose -19*k + 31 = -21 + 14. Let b(g) = 2*g**3 + g**2 + 14*g + 3. Let m(n) = n**3 + n**2 + 15*n + 2. Give k*b(a) - 3*m(a). a**3 - a**2 - 17*a Let q(a) = -2*a**2 + 9*a + 11. Let y(r) = -6*r**2 - 9*r + 1. Let x(t) = 37*t**2 + 50*t - 11. Let z(i) = x(i) + 6*y(i). Calculate 3*q(k) + 7*z(k). k**2 - k - 2 Suppose 15*h - 19*h = p + 1408, h - 2*p + 343 = 0. Let w = h - -352. Let o = 0 - 5. Let m(g) = g + 1. Let u(z) = 2*z + 7. Give o*m(f) + w*u(f). -3*f + 2 Let i(x) = 60*x**2 - 7 - 58*x**2 - 72*x**3 - 366*x + 7 + 364*x. Let q(m) = -936*m**3 + 27*m**2 - 27*m. Determine -27*i(h) + 2*q(h). 72*h**3 Let u(a) = a**3 - a**2 - a - 1. Let t(r) = 1631361*r + 3 + 0 - 1631356*r + 6*r**2 + 9*r**3. What is -t(g) - 5*u(g)? -14*g**3 - g**2 + 2 Let h(r) = 2*r**2 - 8*r - 15. Let x(v) = -13*v**2 - 14*v - 30. Let s(a) = -6*a**2 - 6*a - 13. Let g(i) = -11*s(i) + 5*x(i). Give -13*g(t) + 6*h(t). -t**2 + 4*t + 1 Suppose -10*p + 20 = 3*j - 6*p, -j + 14 = 5*p. Let u(k) = 6*k**3 + k**2 + 2*k - 3. Let d(o) = 19*o**3 + 4*o**2 + 7*o - 10. Give j*d(m) - 14*u(m). -8*m**3 + 2*m**2 + 2 Let d(q) = 3*q**3 + 26*q**2 - 52*q + 12. Let v(z) = 6*z**3 + 55*z**2 - 105*z + 26. Give -13*d(o) + 6*v(o). -3*o**3 - 8*o**2 + 46*o Let l(v) = -v + 9. Let t(g) = g - 8. Let y = -251 + 255. Let i(j) = -j**3 + 6*j**2 - j - 22. Let k be i(y). What is k*t(r) + 5*l(r)? r - 3 Let t = -21014 - -21021. Let j(o) = 55*o**2 - 6. Let m(f) = -55*f**2 + 7. What is t*j(g) + 6*m(g)? 55*g**2 Let s(p) = 22*p + 91. Let x(l) = 77*l + 272. Determine -10*s(a) + 3*x(a). 11*a - 94 Let f = 419 + -258. Let h = 168 - f. Let p(i) = i**3 + 22*i. Let u(k) = -7*k. Give h*u(g) + 2*p(g). 2*g**3 - 5*g Let r(a) = -8*a + 3. Let m(x) = 70*x - 22. Let d(z) = m(z) + 8*r(z). Let c = 22 + -25. Let t(i) = 5*i + 3. Give c*t(l) + 4*d(l). 9*l - 1 Let l(n) = 7*n + 1617. Let y(v) = 88*v + 19399. Calculate 75*l(z) - 6*y(z). -3*z + 4881 Suppose 511*m + 200 = 516*m. Suppose -7*u + m = 26. Let a(n) = 27*n + 6. Let t(s) = -9*s - 2. Give u*a(x) + 7*t(x). -9*x - 2 Let t = -69 - -71. Let j(c) = -c + 0 - 2*c + 2*c**t - 3 + 4*c. Let u(y) = y**2 - 1. Calculate -2*j(p) + 5*u(p). p**2 - 2*p + 1 Let m(z) = 3*z**2 + 2*z - 5. Let d(w) = -7*w**2 - 8*w + 14. What is 2*d(o) + 5*m(o)? o**2 - 6*o + 3 Let v(m) = -9*m + 1. Let o(p) = 323*p - 3. What is 2*o(g) + 10*v(g)? 556*g + 4 Let a(j) = 2*j - 1. Let q(d) = 9*d. Let n(g) = -2*a(g) + q(g). Let h(z) = -1. Determine -6*h(p) - n(p). -5*p + 4 Suppose g - 6 = 0, j = -j - 5*g + 18. Let t(c) = -25*c - 4. Let p(a) = 26*a + 5. Give j*t(o) - 5*p(o). 20*o - 1 Let q(h) = 5*h**3 + 4*h**2 - 13*h + 9. Let w(i) = 2*i**3 + i**2 - i. Determine q(t) - 4*w(t). -3*t**3 - 9*t + 9 Let x(g) = 143*g**3 - 8*g**2 + 10*g - 5. Let j(h) = -147*h**3 + 7*h**2 - 8*h + 4. Give 5*j(v) + 4*x(v). -163*v**3 + 3*v**2 Let h(y) = -8567*y - 4. Let n(b) = 171333*b + 81. What is 81*h(s) + 4*n(s)? -8595*s Let o(j) = 1. Let r(a) be the third derivative of -a**5/15 - 2*a**3/3 - 3*a**2 - 9. Suppose 35 = 12*w + 47. Determine w*r(f) - 5*o(f). 4*f**2 - 1 Let h(j) = 5*j + 8484. Let f(r) = -2*r - 2825. Determine -11*f(z) - 4*h(z). 2*z - 2861 Let i = -12919 + 12918. Let v(p) = p - 1. Let k(c) = -3*c + 30. Give i*k(z) - 4*v(z). -z - 26 Let t = -12 + 15. Let l be (-1 + t)/((-3)/(-9)). Let p(c) = 2*c**3 + 6*c**2 - 6. Let b(v) = 13*v**2 - 1742 + 4*v**3 + 862 + 867. What is l*b(k) - 13*p(k)? -2*k**3 Let k(a) be the third derivative of -a**5/20 + a**4/24 + a**3/2 - 3*a**2 - 184*a. Let g(r) = -r**2 - r + 1. Give -g(u) + k(u). -2*u**2 + 2*u + 2 Let m(f) be the first derivative of -53*f**4/4 + f**3/3 - f**2/2 + 2549. Let r(b) = -b**3 + b**2 - b. Determine m(h) - r(h). -52*h**3 Let p(f) = -f**3 + 4*f - 142. Let c(g) = -5*g + 147. Determine 4*c(j) + 5*p(j). -5*j**3 - 122 Let p(k) = -2*k + 3. Let f(i) be the first derivative of -i**2/2 + 2*i + 20. Let w(v) = 2*v + 18. Let d be w(0). Suppose -9*q = -3*q + d. Give q*f(g) + 2*p(g). -g Let y = 22647 - 22649. Let m(z) = -3*z - 5. Let n(t) = -50*t - 85. Determine y*n(i) + 35*m(i). -5*i - 5 Let h(p) = -1274*p**2 - 6*p - 20. Let d(c) = 2548*c**2 + 11*c + 33. What is -3*d(u) - 5*h(u)? -1274*u**2 - 3*u + 1 Let l(n) = 3*n - 11. Let k(j) be the third derivative of 3*j**4/8 - 16*j**3/3 + 1078*j**2. Determine 6*k(y) - 17*l(y). 3*y - 5 Let d(r) = 174*r**2 + 27. Suppose 0*x + 270 = 5*x + 5*x. Let a(c) = 25*c**2 + 4. What is x*a(w) - 4*d(w)? -21*w**2 Let c(g) = 81*g**2 - 14. Let a(y) = 32*y**2 - y. Calculate -2*a(u) + c(u). 17*u**2 + 2*u - 14 Let j(f) = -11*f - 44. Suppose -196 = 102*a - 1389 - 541. Let t(m) = 1. Let b(p) = 4*p + 20. Let z(c) = -b(c) + 5*t(c). Calculate a*z(h) - 6*j(h). -2*h + 9 Let k(y) = 7*y. Let v(w) = -w - 6. Let h(r) = -r - 5. Let p(i) = -6*h(i) + 5*v(i). Suppose g + 5*s - 6 = 0, -10*s = 4*g - 5*s + 6. Calculate g*p(a) + k(a). 3*a Let p = 18 - 26. Let y(c) = -3*c**2 - 3*c - 11. Let u(g) = -2*g**2 - 2*g - 7. Let l be (-4)/(-4) + -2 - -3. Let t be l/3*(-210)/(-28). What is p*u(b) + t*y(b)? b**2 + b + 1 Let b(r) = 62*r + 23. Let u(h) = -246*h - 97. Calculate 9*b(f) + 2*u(f). 66*f + 13 Let j(x) = -12*x**2 + 2*x + 996. Let l(k) = -10*k**2 + 2*k + 999. Determine 4*j(q) - 5*l(q). 2*q**2 - 2*q - 1011 Let i(d) = d**2 - 3*d. Let j be ((16 - -2) + 3)/3. Suppose j*a - 10 = 2*a. Let s(z) = 11*z + 2*z - z**a - 9*z. Give 3*i(m) + 2*s(m). m**2 - m Let k = 16013 + -16071. Let s(w) = 435*w**2 - 29*w + 29. Let q(x) = -31*x**2 + 2*x - 2. Determine k*q(i) - 4*s(i). 58*i**2 Let b(t) = -3*t + 80. Let x(d) = -4*d + 72. What is -6*b(u) + 7*x(u)? -10*u + 24 Let x = -13 - -11. Let f be (-22*x/4)/1. Let n(m) = -9*m - 4. Let c(o) = 26*o + 11. Let u = -6048 + 6052. Give f*n(w) + u*c(w). 5*w Suppose q - 5*q = 24. Let r(b) = 9*b**2 - 8*b + 2. Let n be (-99)/(-30)*(-3 + 1) - 6/15. Let z(y) = -8*y**2 + 7*y - 2. What is n*z(f) + q*r(f)? 2*f**2 - f + 2 Let a(c) = c**3 + c**2 - 4*c. Suppose 5*u - k + 14 - 197 = 0, 4*u = 5*k + 159. Let f(y) = -3*y**2 - 12*y - 13*y + u*y - 3*y**3. What is -8*a(l) - 3*f(l)? l**3 + l**2 - l Let d(p) = -2*p + 3*p + 2072 - 2068. Let b(z) = z - 1. What is 2*b(m) + d(m)? 3*m + 2 Let p(k) = 6*k**2 - 32*k - 14. Let q(u) = -3*u**2 + 26*u + 15. Let f(r) = 2*p(r) + 3*q(r). Let n(j) = 2*j**2 + 9*j + 11. Determine 5*f(z) - 8*n(z). -z**2 - 2*z - 3 Suppose 0 = -2*s - 3*c + 11, -5 = 4*s - 3*c - 0*c. Let b(u) = -3*u - 6 + 3*u + u - 5*u - 4*u**2 + s. Let l(t) = -12*t**2 - 11*t - 14. Calculate 8*b(n) - 3*l(n). 4*n**2 + n + 2 Let w(s) = -12*s - 6. Let p(l) = -9*l - 16. Let v(g) = -4*g - 7. Let i(t) = 3*p(t) - 7*v(t). Calculate 6*i(n) + w(n). -6*n Let u(t) = -20 + 77 + 6*t - 21 - 24 - 16. Let a(k) = 6*k + 7 - 17*k + 3 - 3. Give -3*a(q) - 5*u(q). 3*q - 1 Let z(a) be the second derivative of 13*a**3/6 - 12*a + 42. Let f(r) = 33*r. Calculate -5*f(o) + 12*z(o). -9*o Let g(m) = 2*m**3 - 8*m**2 + 12*m - 12. Let x(y) = 5*y**3 - 16*y**2 + 27*y - 24. Calculate -9*g(s) + 4*x(s). 2*s**3 + 8*s**2 + 12 Let s(l) = -200*l - 48. Let y(h) = -21*h - 5. Suppose -150 = -3*q + 2*d, -d = q + 16 - 61. Calculate q*y(i) - 5*s(i). -8*i Let n(x) = 39*x**3 + 11*x**2 - 11*x + 13472. Let s(u) = 14*u**3 + 4*u**2 - 4*u + 4491. What is 4*n(w) - 11*s(w)? 2*w**3 + 4487 Let v(w) = 3*w**2 - 2*w - 2. Let u be -2 + (54/15)/((-3)/(-10)). Suppose -u*s = -9*s - 5. Let q(o) = 2*o**2 - o - 1. Determine s*q(d) - 3*v(d). d**2 + d + 1 Let m(x) = -8*x**2 + 2*x - 921. Let w(q) = 27*q**2 - 7*q + 2761. Give 7*m(i) + 2*w(i). -2*i**2 - 925 Let q be -11*72/18 - -27. Let d(g) = -29*g**2 - 20*g - 20. Let f(a) = -10*a**2 - 7*a - 7. Calculate q*f(k) + 6*d(k). -4*k**2 - k - 1 Suppose 0 = p + 4*g - 10, -4*p - 64*g - 65 = -69*g. Let r(s) = 2. Let a(n) = -2*n - 9. Determine p*r(x) - 2*a(x). 4*x - 2 Suppose -24 = 2*x - 6*x + h, -x - 3*h + 6 = 0. Let v = 939968 + -939955. Let r(i) = 5*i. Let t(l) = -10*l. Determine v*r(z) + x*t(z). 5*z Let u(y) = -31*y + 8. Let f(w) = 99*w - 27. Determine -4*f(g) - 11*u(g). -55*g + 20 Let l(y) = -y**2 + y + 1. Let d(b) = -b**3 - 4*b**2 - 6*b - 3. Let t be d(-1). Let h be 1*(t + -1 + -2). Let n(q) = -7*q**2 + 8*q + 8. Give h*n(j) + 24*l(j). -3*j**2 Let q(a) = -2*a + 3175. Let c(h) = 2*h - 3117. What is 4*c(n) + 3*q(n)? 2*n - 2943 Let l(g) = 18*g**2 - 186*g + 20. Let s(r) = 18*r**2 - 140*r + 21. Give -3*l(h) + 4*s(h). 18*h**2 - 2*h + 24 Let h = 60 + -54. Suppos
{ "pile_set_name": "DM Mathematics" }
ecimal places? -0.000232 What is 142621641.2 rounded to the nearest one million? 143000000 What is 2.833828963 rounded to zero dps? 3 Round 72109.674 to the nearest 10. 72110 Round 0.02617826776 to 3 dps. 0.026 Round 28300.645 to the nearest one hundred. 28300 Round 168.686495 to 2 dps. 168.69 Round 709172.76 to the nearest one hundred thousand. 700000 Round -0.214472505 to 4 dps. -0.2145 What is 0.015543781125 rounded to 3 decimal places? 0.016 Round -0.001304233079 to three decimal places. -0.001 What is 0.00055678639 rounded to 4 decimal places? 0.0006 What is 0.0182767392 rounded to five dps? 0.01828 Round -10827051.7 to the nearest one million. -11000000 Round -0.000000184065078 to seven decimal places. -0.0000002 What is 0.546109877 rounded to two decimal places? 0.55 What is -203791.0966 rounded to the nearest ten thousand? -200000 Round -692.03689 to the nearest 100. -700 Round 0.000192434137 to four dps. 0.0002 What is -33.91754 rounded to 0 dps? -34 What is -0.01957649436 rounded to four decimal places? -0.0196 Round -0.001129209697 to 7 dps. -0.0011292 What is 1767860.8 rounded to the nearest ten thousand? 1770000 Round -2981589080 to the nearest one hundred thousand. -2981600000 Round 0.0000537805923 to seven decimal places. 0.0000538 What is -12.272818 rounded to three decimal places? -12.273 What is 0.000012198386012 rounded to six dps? 0.000012 What is 336658312310 rounded to the nearest 1000000? 336658000000 What is 474659.6831 rounded to the nearest ten? 474660 What is -567856.648 rounded to the nearest 10? -567860 Round -0.00000368269616 to 7 decimal places. -0.0000037 What is -165351560.2 rounded to the nearest 1000? -165352000 Round 112.849111 to zero decimal places. 113 What is -590628.14 rounded to the nearest 10000? -590000 What is 0.0003617880081 rounded to four decimal places? 0.0004 Round 86386.1228 to the nearest 100. 86400 Round -0.000000744498954 to 7 decimal places. -0.0000007 Round 0.000534554657 to four decimal places. 0.0005 What is -25248.978 rounded to the nearest 10? -25250 Round 199826790100 to the nearest one million. 199827000000 What is 6345453.45 rounded to the nearest 1000000? 6000000 Round -1.42389378 to one decimal place. -1.4 What is -278352.9417 rounded to the nearest ten? -278350 What is 128948.539 rounded to the nearest one hundred thousand? 100000 Round -9250001600 to the nearest one million. -9250000000 Round 523671.6804 to the nearest one hundred thousand. 500000 Round -12174886438 to the nearest 1000000. -12175000000 Round -1.242929646 to 3 decimal places. -1.243 Round -0.000037505649 to 7 decimal places. -0.0000375 What is 861.952667 rounded to the nearest integer? 862 Round -0.000069203607 to six decimal places. -0.000069 What is -5271.88718 rounded to the nearest ten? -5270 Round 364307.597 to the nearest 10000. 360000 Round -5815660.625 to the nearest one hundred. -5815700 Round -1.7471839 to two decimal places. -1.75 Round -6612.97998 to zero dps. -6613 Round -0.0094668458 to 4 dps. -0.0095 What is -104651.6496 rounded to the nearest ten thousand? -100000 What is 88175.025 rounded to the nearest one thousand? 88000 Round 1.133651528 to 3 dps. 1.134 Round 244778.3938 to the nearest 100. 244800 What is 0.00000218568181 rounded to six decimal places? 0.000002 Round 0.000046503786 to 5 dps. 0.00005 What is -419.427229 rounded to the nearest ten? -420 What is 0.3092997 rounded to zero dps? 0 Round 32396.24511 to the nearest 1000. 32000 Round 0.000559647259 to four decimal places. 0.0006 What is 0.03988956099 rounded to 2 decimal places? 0.04 Round 15816939830 to the nearest 1000000. 15817000000 Round 0.000003271843239 to seven dps. 0.0000033 Round 0.000673598752 to 7 dps. 0.0006736 What is 0.352479586 rounded to four decimal places? 0.3525 Round 45.2886092 to zero decimal places. 45 What is -665468.804 rounded to the nearest 10? -665470 What is 14.80792706 rounded to two dps? 14.81 What is -24.78739616 rounded to 3 decimal places? -24.787 Round -16199.9527 to the nearest one hundred. -16200 Round 0.0003199706755 to five decimal places. 0.00032 Round -0.00000250943674 to seven dps. -0.0000025 Round -0.00015213823 to five dps. -0.00015 What is -175564492.8 rounded to the nearest one million? -176000000 Round -8.2900984 to one decimal place. -8.3 Round 18717662 to the nearest 1000000. 19000000 What is -0.0000174446838 rounded to six decimal places? -0.000017 What is 881313025 rounded to the nearest 1000000? 881000000 What is 4.77346032 rounded to the nearest integer? 5 Round -25456894.7 to the nearest one hundred thousand. -25500000 Round 0.0008109982589 to four decimal places. 0.0008 Round 0.000017115641 to six decimal places. 0.000017 Round 0.003261140408 to 4 dps. 0.0033 Round -0.0168784544 to 5 dps. -0.01688 What is -0.0755289255 rounded to four dps? -0.0755 Round 1770244.879 to the nearest one hundred thousand. 1800000 Round 18552.80882 to the nearest one hundred. 18600 Round -0.00000191249678 to seven decimal places. -0.0000019 What is 12677092.66 rounded to the nearest one hundred? 12677100 Round -0.0213444126 to three decimal places. -0.021 Round 0.0199073448 to 3 decimal places. 0.02 Round 0.000194448591 to 5 decimal places. 0.00019 What is -170500560.7 rounded to the nearest 1000000? -171000000 Round -0.0058808306 to 5 dps. -0.00588 Round 8211.5609 to the nearest integer. 8212 What is 7788145509 rounded to the nearest 100000? 7788100000 What is -0.597608932 rounded to one decimal place? -0.6 What is 66186.942 rounded to the nearest 100? 66200 Round -0.82835895 to four dps. -0.8284 What is -1467.805223 rounded to the nearest ten? -1470 What is -4870640200 rounded to the nearest one million? -4871000000 Round 0.00000090027127 to seven decimal places. 0.0000009 What is 0.36327119 rounded to 2 decimal places? 0.36 Round 446932189.6 to the nearest one million. 447000000 What is 2.33968024 rounded to one dp? 2.3 Round -0.0000618639858 to seven decimal places. -0.0000619 Round -0.0000460052498 to 6 dps. -0.000046 What is 91187.342 rounded to the nearest 100? 91200 What is -0.22561671317 rounded to three dps? -0.226 Round -0.003108996237 to 4 decimal places. -0.0031 Round -4028273.488 to the nearest 100000. -4000000 What is -0.0199740942 rounded to six dps? -0.019974 Round 185.74936 to the nearest 10. 190 Round -40.7851167 to zero decimal places. -41 What is 0.0000012137509 rounded to six dps? 0.000001 What is 91634.44774 rounded to the nearest 1000? 92000 Round 136101442.48 to the nearest one hundred thousand. 136100000 Round 17211.0265 to the nearest one thousand. 17000 What is -135.3331948 rounded to the nearest 10? -140 What is -0.4542834772 rounded to 2 decimal places? -0.45 What is -1951115.16 rounded to the nearest 100000? -2000000 What is 6.5025141 rounded to 2 decimal places? 6.5 What is 0.047878754 rounded to 3 decimal places? 0.048 What is 63086211 rounded to the nearest one hundred thousand? 63100000 What is 0.00002349975827 rounded to six decimal places? 0.000023 Round 7422077.827 to the nearest 100000. 7400000 Round 0.007397938241 to 4 dps. 0.0074 What is 125686610 rounded to the nearest 1000000? 126000000 What is -25014.6068 rounded to the nearest integer? -25015 What is 1928.56955 rounded to the nearest integer? 1929 Round 5.09774565 to zero decimal places. 5 Round -323.436235 to the nearest 10. -320 Round 0.389572838 to 5 decimal places. 0.38957 What is 0.0000075635874 rounded to seven dps? 0.0000076 Round 297166.763 to the nearest one thousand. 297000 Round -0.080584097 to 2 dps. -0.08 What is 0.48815989 rounded to 1 decimal place? 0.5 Round -7339700.373 to the nearest 1000000. -7000000 What is 1056.8566 rounded to 0 decimal places? 1057 What is 7940.208523 rounded to the nearest ten? 7940 What is -688654.638 rounded to the nearest 10000? -690000 Round 83.56386649 to the nearest 10. 80 What is 6044245.4 rounded to the nearest 1000000? 6000000 What is -0.000004239278856 rounded to 7 decimal places? -0.0000042 What is 556.758679 rounded to the nearest 100? 600 What is -0.00000127122714 rounded to 7 dps? -0.0000013 What is 0.0044301194 rounded to 3 dps? 0.004 What is -0.00206379075 rounded to four decimal places? -0.0021 What is 0.0000480961211 rounded to 7 decimal places?
{ "pile_set_name": "DM Mathematics" }
22102? -13122121 In base 10, what is -2179 - -121? -2058 In base 15, what is -4c870 - 4? -4c874 In base 10, what is -45507 + -85? -45592 In base 2, what is -100 - 10000011100001? -10000011100101 In base 12, what is -b + 342aa? 3429b In base 7, what is -14362 - -522? -13540 In base 11, what is -a - -1218a5? 121896 In base 2, what is -100011110001100100100 + 11? -100011110001100100001 In base 10, what is -65 - -526? 461 In base 15, what is d8e3e8 - -3? d8e3eb In base 8, what is -1646 - -2325? 457 In base 12, what is 26b1 + 67? 2758 In base 5, what is 433030 - -4? 433034 In base 4, what is -31 + -101230? -101321 In base 15, what is 37070 - 2? 3706d In base 6, what is -1 - -30005? 30004 In base 11, what is -10 + 3827? 3817 In base 14, what is 57 + -88b? -834 In base 5, what is -1143334 - 240? -1144124 In base 10, what is 17 - -27176? 27193 In base 13, what is -28 + 78? 50 In base 16, what is 473 + -2? 471 In base 3, what is 2221220 + 112020? 10111010 In base 14, what is 15c + -288? -12a In base 9, what is -11614280 - -2? -11614277 In base 9, what is 16 + -42140? -42123 In base 3, what is -11221211 + 1201201? -10020010 In base 11, what is a26 - 17? a0a In base 8, what is 46 - 516? -450 In base 5, what is -10 + 21210? 21200 In base 12, what is 11 + -1b512? -1b501 In base 5, what is -3 + 24341434? 24341431 In base 16, what is -48 - -57? f In base 15, what is b77db + -10? b77cb In base 2, what is -101 + -100000011001000000? -100000011001000101 In base 10, what is -10076 + 55? -10021 In base 14, what is 5 - -7649? 7650 In base 14, what is 7 + -2714? -270b In base 10, what is -43 - -629? 586 In base 3, what is 21222 + 1110112? 1202111 In base 10, what is 77819 + 0? 77819 In base 4, what is 10 + 330222201? 330222211 In base 9, what is 2825 + 22? 2847 In base 2, what is 0 + 1000110000011101110? 1000110000011101110 In base 9, what is 212 - -1201? 1413 In base 10, what is -3 + 3969? 3966 In base 4, what is 131202120 - -22? 131202202 In base 13, what is 41 + -22? 1c In base 8, what is -742 + 53? -667 In base 6, what is 52303 - 51? 52212 In base 3, what is 1 - 220121011? -220121010 In base 12, what is -8a - 2b? -b9 In base 8, what is 1 + 3203? 3204 In base 4, what is 200 - 1012302? -1012102 In base 16, what is -f1 - 947? -a38 In base 12, what is -a60b - 2? -a611 In base 7, what is -3330 + -15620? -22250 In base 8, what is -1633 + 3705? 2052 In base 12, what is aa - 1473? -1385 In base 11, what is -a86 + -112? -1098 In base 14, what is -37 + -d7? -130 In base 3, what is -2 + -120212101? -120212110 In base 13, what is -9 - -29c4? 29b8 In base 5, what is -43 + 1234124? 1234031 In base 16, what is -6c + d9? 6d In base 8, what is 1757 + -512? 1245 In base 13, what is 78b + 3? 791 In base 4, what is -1122203010 + -23? -1122203033 In base 8, what is 47430 + -17? 47411 In base 10, what is -2 + -88168? -88170 In base 14, what is -5a0 - -35? -569 In base 7, what is 22325 - 0? 22325 In base 3, what is -11000212 - 10101? -11011020 In base 9, what is 62 - 33313? -33241 In base 7, what is 5343 - -21? 5364 In base 2, what is 1010000101 + 1? 1010000110 In base 16, what is -1 - 1f1e? -1f1f In base 10, what is -136 + -1889? -2025 In base 8, what is -6 + 12002? 11774 In base 2, what is -10111100 - -11010011011? 10111011111 In base 4, what is -2321231 - -31? -2321200 In base 14, what is 948 + -166? 7c2 In base 5, what is -23 - -1201? 1123 In base 14, what is -2a70c3 - -2? -2a70c1 In base 3, what is 102120010010 + 2? 102120010012 In base 5, what is -1121043 - -3? -1121040 In base 2, what is 10 - 100110111110? -100110111100 In base 4, what is 32021022 + -30? 32020332 In base 10, what is 3 + -11795? -11792 In base 11, what is 3 - -57732? 57735 In base 5, what is 33 - -4033220? 4033303 In base 11, what is 9 - -4700? 4709 In base 11, what is a970 + 475? 10335 In base 7, what is -1 - -123154? 123153 In base 13, what is 92 - -4ca? 58c In base 16, what is -471 + -b? -47c In base 11, what is -3 - 826404? -826407 In base 8, what is -75 - 3214? -3311 In base 4, what is 20102121130 - -2? 20102121132 In base 12, what is -5 + -7735a? -77363 In base 16, what is 10b - -41e? 529 In base 3, what is 1211121 - 1011? 1210110 In base 16, what is 118 + 22f0? 2408 In base 16, what is -59 - 21? -7a In base 10, what is -24 - -124329? 124305 In base 2, what is -100001111111111000 + 0? -100001111111111000 In base 8, what is -4 + 6272? 6266 In base 14, what is -1416 - 33? -1449 In base 6, what is 403232 + 4? 403240 In base 7, what is 1563 - 5? 1555 In base 7, what is 143 - 2366? -2223 In base 13, what is 8 + 18212? 1821a In base 15, what is 767 - -b? 773 In base 16, what is 5 + -c890? -c88b In base 13, what is -a3 - 19783? -19856 In base 14, what is 4d27 - -28? 4d51 In base 13, what is 8b1a74 + 3? 8b1a77 In base 15, what is -3526 + -3? -3529 In base 4, what is -11 - -201223320? 201223303 In base 11, what is -81378 - 2? -8137a In base 8, what is 2162 + -4557? -2375 In base 13, what is 571 + -1606? -1065 In base 16, what is 67cbc + -3? 67cb9 In base 13, what is 7b0 - 9c? 711 In base 13, what is -bc21 - -3? -bc1b In base 15, what is -23d3 - 4? -23d7 In base 11, what is 14 - 148? -134 In base 11, what is -164 - -27? -138 In base 8, what is -15762 - 175? -16157 In base 8, what is -20 + -52225? -52245 In base 16, what is 4 + 15d0? 15d4 In base 13, what is -10023 - 5? -10028 In base 11, what is -8aa60 + 2? -8aa59 In base 7, what is 3 + -234335? -234332 In base 2, what is -10110100 + -1010110111? -1101101011 In base 14, what is 70367 - -2? 70369 In base 6, what is -531 + -122? -1053 In base 13, what is 553b7 - 0? 553b7 In base 6, what is -12443 - -131? -12312 In base 6, what is 35451 - -2? 35453 In base 7, what is 660322 - -1? 660323 In base 10, what is 6528 - -1? 6529 In base 4, what is 120 + -13230? -13110 In base 9, what is -28270 - -158? -28111 In base 4, what is 202303101 - 3? 202303032 In base 14, what is 8 + -b68? -b60 In base 10, what is 235081 + 1? 235082 In base 16, what is -4 - -c7ae0? c7adc In base 15, what is 4 - 8eb69? -8eb65 In base 6, what is 22 - 2321223? -2321201 In base 15, what is 10 + -1144? -1134 In base 14, what is 1c28 - -1? 1c29 In base 8, what is -135501 + 30? -135451 In base 9, what is -201137 - 5? -201143 In base 4, what is 11120333100 - 11? 11120333023 In base 5, what is 4401 - -1411? 11312 In base 4, what is 2232201323 + -1? 2232201322 In base 7, what is -263 - 1451? -2044 In base 2, what is 101 - -100110001010010010110? 100110001010010011011 In base 2, what is -1110001110101110000111 + -10? -1110001110101110001001 In base 13, what is -237 - -907? 6a0 In base 11, what is 2 - -6549? 6550 In base 6, what is 5 + -42521? -42512 In base 2, what is 1111011001010110 + 100? 1111011001011010 In base 5, what is -1 - 2303423? -2303424 In base 14, what is -2d01 - -10? -2cd1 In base 5, what is -2011340 - -40? -2011300 In base 8, what is -4 + -626750? -626754 In base 8, what is -16 - -5475? 5457 In base 7, what is 24 + -144? -120 In base 15, what is -3 + -39a9? -39ac In base 7, what is -21556 - -543? -21013 In base 14, what is -10 + 291? 281 In base 15, what is 3 + -7703? -7700 In base 2, what is -10010100 + -10011110000100? -10100000011000 In base 4, what is -10 - 12131330221? -12131330231 In base 8, what is -1 - 44612? -44613 In base 5, what is -23 + -4333443? -4334021 In base 10, what is -9028 - 7? -9035 In base 4, what is 11301221 + -32? 11301123 In base 4, what is 30013012 - -3? 30013021 In base 11, what is -395650 - -2? -395649 In base 4, what is 313122230 + -11? 313122213 In base 6, what is -1 + -10342055? -10342100 In base 4, what is 20 - 33112102? -33112022 In base 9, what is -2 - 8033? -8035 In base 11, what is 11399 - 32? 11367 In base 9, what is -468710 - -7? -468702 In base 9, what is 236 + -1? 235 In base 9, what is -23521 - -4? -23516 In base 14, what is -63306 + -2? -63308 In base 16, what is -1c82a + 3? -1c827 In base 8, what is -21 + -41? -62 In base 6, what is -123034 - -220? -122414 In base 3, what is -20 - -2201210200? 2201210110 In base 6, what is 35251 - 15? 35232 In base 10, what is -35 + 5415? 5380 In base 3, what is 2001121211001 + 1? 2001121211002 In base 9, what is -11333151 - -2? -11333148 In base 11, what is 630 + -101? 52a In base 7, what is 41 + -2100? -2026 In b
{ "pile_set_name": "DM Mathematics" }
t is the nearest to 0 in -32, 5, r? r Let f be 38/6 - (-1)/(-3). Let u = 599.1 - -113.9. Let p = u + -709. Which is the nearest to -1/5? (a) p (b) f (c) 0.4 c Let v = 0.102 + -78.102. Let b = -81 - v. What is the nearest to 0.4 in -2/5, b, 3/5? 3/5 Let r = -376.5 + 352. Let q = r + 26.5. Which is the closest to 2/3? (a) -1 (b) 3 (c) q c Let s = -5046.9 - -5047. Which is the nearest to 0? (a) s (b) -0.012 (c) 3 (d) -2/17 b Let z = -4.47 + -44.13. Let h = z + 55.6. What is the nearest to 1 in 0.3, -2, h, -0.4? 0.3 Let z = -3498 - -3496. Which is the nearest to -1? (a) -0.02 (b) -1.1 (c) z b Let x = 4 + -4. Let s be 1529/5838 + 6/(-63). What is the closest to 2/5 in -1/4, x, s? s Let h = 27 - 34. Let x = -11.84 - -12.04. Let z = -1.2 - -1. Which is the closest to h? (a) z (b) x (c) 0 a Let f(g) = -81*g + 158. Let n be f(2). Which is the nearest to 0.2? (a) 3 (b) 6 (c) n (d) -0.3 d Let z be (2/(-8) - (-231)/44)*1. Suppose -4*d + 1 + 3 = 0, z*q + 17 = 2*d. Let t(o) = 3*o. Let l be t(0). Which is the nearest to q? (a) l (b) -4 (c) 1/7 b Let y = -0.3 + 0.25. Let k = -7.7687 + 7.8687. Which is the closest to -2? (a) k (b) -0.2 (c) y b Let x(f) = -2*f + 38. Let i be x(17). Let j = 1.284 - 1.084. What is the nearest to j in 0, i, 2? 0 Let h = -8 - -1. Let y be 8 + 29/(-4) + (-135)/100. Let m = -2 - -1.6. What is the closest to h in m, y, 2/7? y Let p = -3930 + 3935. Which is the closest to -2? (a) p (b) -0.4 (c) 66 b Let p = 9549 + -47967/5. Let k = p - -45. Which is the nearest to -0.2? (a) k (b) -0.07 (c) -3 b Let i = -27.6 - -5.6. Let y(h) = h + 1. Let k be ((-25)/10 + 2)*12/1. Let f be y(k). Which is the nearest to i? (a) f (b) 0.3 (c) 1 a Let t = 0 - -5. Suppose 88*z = 86*z + 10. Suppose 5*r + 4*x = -z, -10 + 11 = -r + 5*x. Which is the nearest to 0.3? (a) 1/3 (b) r (c) t a Suppose 3*i - a = -4*a - 6, -4*a = -i - 2. Suppose 4*k + 5*c = -69, -k - c + 17 = 32. What is the closest to -0.2 in -3, k, i? i Let b = -187/18 + 61/6. What is the nearest to -1/4 in -2/11, b, -23, 7? b Let x = 1.1 + -1. Let r = -0.182649 - 0.017351. Which is the closest to 1? (a) -3/4 (b) x (c) r b Let r(h) = -2*h**3 + 16*h**2 + 16*h - 128. Let p be r(8). Which is the closest to 7? (a) p (b) 0.2 (c) -1/2 b Let p = 28222.9 - 28223. Which is the nearest to p? (a) 2/7 (b) -7 (c) -0.1 (d) 1/42 c Let o be (0 - 4/(-3))/((-36)/(-108)). Suppose 3*c = -r - 5, -2*r = o*c - 2*c + 6. What is the closest to r in 3, -4, -0.1? -0.1 Suppose 3*t + 1 = 16. Let i = 0.608 - 716.608. Let r = 711 + i. Which is the nearest to t? (a) r (b) 1/7 (c) -1/9 b Let x = 1 + -1.5. Let g = 2915.4 - 2915.6. Suppose 21 = -5*s + 51. Which is the closest to 2/3? (a) g (b) s (c) x a Let o(y) = 3*y**2 + 350*y + 591. Let u be o(-115). Which is the closest to u? (a) 0 (b) 1/4 (c) 0.11 b Let m(w) = w - 12. Let u be m(0). Let k be (-21)/u + 1/((-2)/4). Which is the nearest to 0? (a) 23 (b) -1 (c) k c Let t(l) be the first derivative of l**3/3 - 8*l**2 + 7*l + 1. Let o be t(16). Let k = o - 5. Which is the closest to k? (a) -0.5 (b) -4/9 (c) 1 c Suppose -25 = 5*t, 2*t + 449 = -4*h + 2079. Let c = h + -347. What is the nearest to -1 in 0, c, 0.3? 0 Suppose -5*g = -0 - 10. Let m(n) be the second derivative of -n**4/12 + n**3/2 - 3*n**2/2 - 13*n. Let i be m(g). What is the nearest to i in -0.5, 0.1, 5? -0.5 Let w = -0.08 - -0.18. Let h = -3 + 5. Let q = -8/11 + 34/77. Which is the nearest to h? (a) q (b) 2/7 (c) w b Let s(m) = 9*m + 8*m + 14*m - 14 - 32*m. Let w be s(-11). Let x(j) = 4*j - 1. Let u be x(1). Which is the closest to -1/4? (a) 4/3 (b) u (c) w a Let p = -47546 + 47546.2. What is the closest to 4/7 in p, 6/5, -0.1? p Let u be (-231)/(-1078)*(-14)/(-3). Let f be ((-1)/18)/(5/(-15)). What is the nearest to 2 in u, f, -1/6? u Let f = 4301 - 4299. Which is the nearest to -0.1? (a) f (b) 5 (c) 17 a Let j = -19766 - -19769. What is the closest to 9 in 4, 50, j? 4 Let m = 318.65 + -244.1. Let l = m + 1.45. What is the closest to -2 in l, -2/7, 2? -2/7 Let j = 1 + -2. Let u = -505.2 + 503.2. Which is the closest to -8? (a) u (b) j (c) 0.4 a Let n = -146.18 - -0.18. Let g = n + 150. Which is the closest to -11? (a) 3 (b) g (c) 0 c Let x(v) = v**3 + v**2 + 2*v + 1. Let u be x(-1). Let k be (-2)/(-7) - 6*(-1)/(-168). Let i = 3 - 4. Which is the nearest to i? (a) k (b) u (c) 0.5 b Let g = 6.798 + -2.798. Which is the closest to -1/3? (a) g (b) -2/3 (c) 5/3 (d) -2/29 d Let d = -33.796 + 33.596. Let f = -21 + -1. Which is the nearest to f? (a) 0.3 (b) 0.5 (c) d c Let f = -2/6695 + -2672/20085. What is the nearest to 24 in 1/5, f, 0? 1/5 Suppose -3 = -4*k + 4*u + 9, 0 = 3*k + 2*u + 11. What is the closest to 8 in 0.3, 4, 3, k? 4 Let y = -0.1 + 0.1. Let r = -47343 - -47343.1. What is the nearest to 0.5 in y, 0.05, r? r Let p = 3.7 + -6.7. Let t be ((-7 - 37)/4)/(0 + 1). Which is the nearest to -0.1? (a) 2/5 (b) p (c) t a Let c = -7 + 11. Let j = 293 + -2055/7. Let d = -47486/5 + 142468/15. What is the nearest to d in 0.4, j, c? 0.4 Let s = -6447/2 + 3234. What is the closest to 0.3 in -4, 2/7, s? 2/7 Let v = -58.97435 - 0.02565. Which is the closest to 15? (a) v (b) -4 (c) -2 c Let q(s) = 12*s - 59. Let y(b) = -12*b + 59. Let d(r) = 4*q(r) + 5*y(r). Let k be d(5). Let x = -3.2 - -3. What is the closest to 1 in k, 2/5, x? 2/5 Let o = 0.2657 + 1.7343. Which is the closest to 2? (a) o (b) 0.5 (c) 5 (d) 1/6 a Let u = 2397 - 2400. Which is the nearest to -0.05? (a) 5 (b) u (c) -7 b Let l(o) = -o**2 - 3*o + 3. Let z be l(4). Let d be ((-2)/(-4))/(z/(-550)). Suppose -5*k = -b - d, 5*b - 7 = k + 10. What is the closest to 1/5 in -0.4, b, 0? 0 Let t = -67 - -57. Let m be (3*(-16)/(-420))/(4/t). Let h be ((-8)/(-20))/(1/5). Which is the closest to h? (a) -1/5 (b) 1/7 (c) m b Let m(j) = j**3 + j**2 + j + 1. Let r be m(0). Let k = -5.1563614 + 0.1563614. What is the nearest to 2 in 2, k, 3/4, r? 2 Let o be 45 - 38 - ((-1)/(-6) - (-180)/24). What is the closest to -2 in o, 5, -0.15, -2? -2 Let c = -4224.5 - -4224. What is the closest to 1 in 57, -0.02, c? -0.02 Let q = 3 + -3.1. Let x = -52.3 + 103.9. Let f = x - 52. What is the closest to 1 in 1/5, q, f? 1/5 Suppose -20 = -q + 5*q. Let f be (27/85 + 12/(-60))*(-1)/1. What is the closest to f in q, -3, 2? 2 Let q = 346.4 + -365.07. Let f = -0.33 + q. Let p = -5 + 7. What is the nearest to 1 in -5, f, p? p Let u be (-3)/(-12) + (-5985)/20. Let h be u/4420 - (-2)/17. Let j = 0.785 - 0.885. Which is the closest to j? (a) 5 (b) h (c) -0.4 b Suppose -46 = -4*m + 5*s, 0*m - 66 = -4*m - 5*s. Let l be 3 + (1 + -2)*2. Let z be (2/m*-1)/l. Which is the nearest to 0? (a) 0 (b) 4 (c) z a Let a be 2 - ((-1272)/(-18))/(214/6). Let x = -0.777 - 1.223. What is the nearest to 2 in a, x, -4? a Let h = -21.551 - -21.5. Let v = 0.29 - 0.239. Let t = v + h. Which is the closest to 0.1? (a) -1 (b) t (c) 1/2 b Let s be (-9)/6*(-2)/(-9). Let q(m) = m**3 - 10*m**2 - 26*m + 21. Let d be q(12). Let f be -1*(-2)/((-3 - d) + 4). What is the closest to -1 in -0.1, s, f? s Let u be (-2)/3 + (-2)/15. Suppose 6 = 2*h + 4. Suppose 4*p + k + 7 = 0, 0 = -4*p - 6*k + 7*k - h. Which is the nearest to p? (a) u (b) 3/4 (c) -0.3 a Let p = 14.57 + -13.8. Let k = -0.23 - p. Let q = -71 + 1067/15. What is the nearest to 0 in q, 2/9, k? q Let d = 270.84 + -267.84. Let f = -2/41 - 37/82. What is the nearest to f in 4, -2/9, d? -2/9 Let n = -3726.92 - -3727. Which is the closest to 0? (a) 1 (b) 0.3 (c) n (d) 3/7 c Let q = 29.5 + -30. Let t = -3.66 + 0.06. Let j = -0.4 + t. What is the closest to -0.2 in j, 0.4, q? q Let p = 7.4 + -7. Let h = -21989 + 21991. Which is the closest to 1? (a) 3 (b) p (c) 7 (d) h b Let u be ((-74)/(-24) + -3)/(6/351). Let y = 257/56 - u. What is the closest to -1 in 0.3, y, 0.18? y Let a be ((-580)/(-30))/((-3)/(-18)). Let z = a - 344/3. What is the nearest to -2/3 in -4, z, 3/5? 3/5 Let r = 0.415 - -17.585. Let b = -18.03 + r. What is the closest to -0.1 in -0.5, 1, b? b Let q = 0.09 + -9.09. Let i be ((-72)/(-35))/((-702)/91 - -8) - 7. What is the nearest to q in -2/19, i, -3? -3 Let x(u) = -2*u**3 - 118*u**2 - 130*u - 812. Let c be x(-58). What is the closest to 2/3 in c, 6, 0.07
{ "pile_set_name": "DM Mathematics" }
a: 6, f: 1, q: 5}. Give prob of picking 3 u and 1 a. 2/455 What is prob of picking 1 i, 1 n, 1 o, and 1 h when four letters picked without replacement from nhion? 2/5 Four letters picked without replacement from mmdddddm. What is prob of picking 4 d? 1/14 What is prob of picking 1 x, 1 v, and 2 n when four letters picked without replacement from {x: 1, l: 2, v: 1, n: 4}? 3/35 What is prob of picking 2 e when two letters picked without replacement from {o: 1, e: 3}? 1/2 Four letters picked without replacement from {a: 3, x: 6, v: 3, o: 3, n: 1}. Give prob of picking 2 x, 1 a, and 1 v. 27/364 Calculate prob of picking 1 q and 1 w when two letters picked without replacement from tqrqrrwrr. 1/18 Calculate prob of picking 1 c, 1 i, and 1 e when three letters picked without replacement from {e: 3, i: 1, c: 5}. 5/28 What is prob of picking 2 t when two letters picked without replacement from {t: 3, l: 5, d: 2}? 1/15 Two letters picked without replacement from bzcb. Give prob of picking 1 c and 1 z. 1/6 Calculate prob of picking 1 f, 1 l, and 1 y when three letters picked without replacement from lfefey. 1/10 Calculate prob of picking 2 u when two letters picked without replacement from {h: 6, u: 12}. 22/51 Calculate prob of picking 1 p, 1 t, 1 s, and 1 g when four letters picked without replacement from {s: 4, g: 1, p: 1, t: 11}. 11/595 Two letters picked without replacement from {v: 6, l: 13}. What is prob of picking 2 l? 26/57 What is prob of picking 1 b and 2 i when three letters picked without replacement from ibbibi? 9/20 What is prob of picking 1 z and 1 w when two letters picked without replacement from {d: 2, x: 1, f: 1, w: 2, z: 1, y: 1}? 1/14 Two letters picked without replacement from sgnio. What is prob of picking 1 n and 1 s? 1/10 What is prob of picking 2 b and 1 h when three letters picked without replacement from {h: 4, b: 4, t: 8}? 3/70 Calculate prob of picking 1 m, 1 x, 1 l, and 1 d when four letters picked without replacement from xxdmdmhlkklx. 8/165 Two letters picked without replacement from {c: 1, p: 1, v: 1, n: 2}. What is prob of picking 2 n? 1/10 Three letters picked without replacement from dmuddmdddddddddm. What is prob of picking 2 d and 1 m? 99/280 Four letters picked without replacement from {e: 1, l: 7}. Give prob of picking 4 l. 1/2 Three letters picked without replacement from ookkoooook. What is prob of picking 3 o? 7/24 Two letters picked without replacement from wxwwx. What is prob of picking 2 x? 1/10 Two letters picked without replacement from ypyrrrpprrrpppprry. Give prob of picking 1 y and 1 r. 8/51 Four letters picked without replacement from tuuuuuumtttuu. Give prob of picking 3 t and 1 m. 4/715 What is prob of picking 1 h and 1 x when two letters picked without replacement from {x: 4, h: 14}? 56/153 Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {y: 2, o: 2, u: 1, m: 1, f: 1}. 4/21 What is prob of picking 1 y, 1 f, and 1 k when three letters picked without replacement from {f: 4, b: 2, y: 3, k: 2, e: 1}? 6/55 Two letters picked without replacement from {b: 1, s: 2, g: 4, d: 3, e: 3, n: 2}. What is prob of picking 1 n and 1 g? 8/105 Two letters picked without replacement from {l: 7, v: 5, k: 1, e: 2, w: 1, u: 1}. What is prob of picking 1 v and 1 l? 35/136 Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {i: 7, o: 2, r: 11}. 7/95 Two letters picked without replacement from {k: 1, j: 2, w: 1, a: 1, l: 2}. Give prob of picking 2 j. 1/21 Two letters picked without replacement from jnnjejjegnjgn. What is prob of picking 1 n and 1 j? 10/39 What is prob of picking 1 v and 3 g when four letters picked without replacement from gvgvvgvvgv? 4/35 What is prob of picking 1 j and 2 l when three letters picked without replacement from {j: 2, l: 4, e: 2, d: 4}? 3/55 Two letters picked without replacement from {q: 1, z: 7, s: 4, p: 2, i: 3}. What is prob of picking 2 i? 3/136 Three letters picked without replacement from {q: 4, w: 10, j: 6}. What is prob of picking 2 w and 1 j? 9/38 What is prob of picking 1 k and 2 q when three letters picked without replacement from {q: 7, k: 4, l: 2}? 42/143 Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {h: 2, x: 1, u: 1, p: 1, d: 1, j: 1}. 1/21 Calculate prob of picking 1 k and 1 y when two letters picked without replacement from xcykxkxwmxwc. 1/33 Calculate prob of picking 1 l and 1 s when two letters picked without replacement from scl. 1/3 Two letters picked without replacement from {q: 5, y: 1, j: 3, f: 3}. Give prob of picking 1 f and 1 y. 1/22 Calculate prob of picking 3 f and 1 u when four letters picked without replacement from {f: 3, b: 2, u: 3}. 3/70 Four letters picked without replacement from fbfbfffbfffffff. Give prob of picking 1 f and 3 b. 4/455 Four letters picked without replacement from {t: 4, w: 4, y: 3}. What is prob of picking 2 w and 2 y? 3/55 Four letters picked without replacement from ppxdpsn. Give prob of picking 2 n, 1 d, and 1 p. 0 What is prob of picking 1 a and 2 e when three letters picked without replacement from qaqqqertaeeae? 9/143 Three letters picked without replacement from {d: 5, l: 3, q: 1, z: 7, u: 2}. What is prob of picking 2 d and 1 q? 5/408 Calculate prob of picking 4 u when four letters picked without replacement from {u: 10, n: 4}. 30/143 What is prob of picking 2 l when two letters picked without replacement from {p: 2, d: 1, l: 6, t: 1, j: 4, y: 4}? 5/51 What is prob of picking 1 i and 1 a when two letters picked without replacement from aaaazkzymiaaz? 1/13 Three letters picked without replacement from nbbwnnbwwwnwww. What is prob of picking 3 b? 1/364 Three letters picked without replacement from {h: 1, s: 4, m: 2, u: 9}. What is prob of picking 1 s, 1 u, and 1 m? 9/70 Calculate prob of picking 2 h when two letters picked without replacement from {r: 3, h: 4, x: 7}. 6/91 What is prob of picking 1 g and 3 c when four letters picked without replacement from gciiciccigc? 2/33 Four letters picked without replacement from {m: 10, v: 2, l: 6}. What is prob of picking 2 m, 1 l, and 1 v? 3/17 Four letters picked without replacement from {w: 5, l: 2, k: 3, i: 2, n: 3}. What is prob of picking 2 n and 2 l? 1/455 Two letters picked without replacement from xxzxzdzdxzxxn. Give prob of picking 1 x and 1 d. 2/13 What is prob of picking 2 l when two letters picked without replacement from rfrlflllllflrlllllfl? 39/95 Four letters picked without replacement from {k: 1, g: 1, s: 1, i: 2, p: 1, u: 2}. Give prob of picking 1 k, 1 g, 1 s, and 1 i. 1/35 What is prob of picking 1 r and 3 j when four letters picked without replacement from jjjjjrjjjjjjrjjjjj? 56/153 Two letters picked without replacement from gmgsg. Give prob of picking 1 m and 1 s. 1/10 Calculate prob of picking 1 i and 2 k when three letters picked without replacement from {k: 8, i: 2}. 7/15 Three letters picked without replacement from {a: 1, g: 1, w: 1, c: 1, k: 2, x: 1}. What is prob of picking 1 a, 1 g, and 1 x? 1/35 Calculate prob of picking 2 c and 1 w when three letters picked without replacement from fwffwfwwwcwffwwfwfc. 3/323 Three letters picked without replacement from wwccppcpnw. What is prob of picking 2 c and 1 n? 1/40 Four letters picked without replacement from clpttlvltvl. What is prob of picking 1 t, 1 l, and 2 v? 2/55 What is prob of picking 1 d, 1 m, and 1 x when three letters picked without replacement from {x: 5, o: 3, m: 3, d: 2}? 15/143 Four letters picked without replacement from {x: 10, a: 2}. Give prob of picking 3 x and 1 a. 16/33 What is prob of picking 3 k and 1 u when four letters picked without replacement from {y: 2, p: 4, k: 4, n: 5, u: 1}? 1/455 What is prob of picking 1 r and 1 c when two letters picked without replacement from ceparee? 1/21 What is prob of picking 1 v and 2 x when three letters picked without replacement from {v: 3, x: 9, c: 4}? 27/140 Three letters picked without replacement from mkecerggrekgce. Give prob of picking 1 c and 2 k. 1/182 What is prob of picking 1 i and 2 f when three letters picked without replacement from ssfsifssssif? 3/110 Three letters picked without replacement from {j: 2, b: 3, g: 1, m: 1, w: 2, d
{ "pile_set_name": "DM Mathematics" }
= 5*i + 7 for i. -3 Solve -5*j + 0 - 5 = -3*b, 1 = -j - 4*b for j. -1 Solve 3*s + 8 = -4*i + 7*s, 5*i = s - 6 for i. -1 Solve 4*z = 5*j - 25, -5 = -3*j - 5*z + 10 for j. 5 Solve -4*w = 3*g + 13, 6*g - g + 2*w = -3 for g. 1 Solve 14*b - 11*b = -v - 6, 0 = 2*b + 6 for v. 3 Solve -5*g - 257 + 241 = -4*j, 2*g = 2*j - 8 for g. 0 Solve -l + 13 = -4*l + 5*f, 0 = -3*l - 5*f + 7 for l. -1 Solve 0 = 2*l - l - g - 7, 2*l - 16 = 3*g for l. 5 Solve v + 3*p + 1 + 4 = 0, p - 9 = -3*v for v. 4 Solve 0*p + 1 = 3*g + 5*p, 4*p + 2 = -g for g. 2 Solve m + 2 = -m, 2*m = -3*t - 17 for t. -5 Solve -5*m + 2*x - 23 = 0, -x - 4 - 7 = 5*m for m. -3 Solve -97*w - 20 = -100*w + 5*n, -5*n - 5 = 0 for w. 5 Solve 4*f = 6*f + x + 6, 4*f - 16 = 5*x for f. -1 Solve 2*r + 24 - 7 = -3*w, 1 = -3*w + 2*r for w. -3 Solve 3*h + 7*a - 3*a + 9 = 0, 3*h - 2*a + 9 = 0 for h. -3 Solve -3*c + g + 0*g + 1 = 0, -4*c - 2*g + 8 = 0 for c. 1 Solve -3*g = 5*m + 14, g - 24 = 5*m - g for m. -4 Solve -g - 4*f - 13 = 0, -g - 3*f + 5 = -8*f for g. -5 Solve -19 = -811*m + 816*m - 2*x, 3*m = 3*x - 15 for m. -3 Solve -t - 19 = 4*n, 0 = -0*t + t + 3*n + 15 for t. -3 Solve 0 = 3*p, 2*d = p + 1 - 7 for d. -3 Solve -2*b = -4*f + 8, -4*b - 11 = 2*f - 5*f for b. -2 Solve 5*s = 3*t + 29, -14*t = -19*t + 3*s - 27 for t. -3 Solve -18 = -4*z - v, 13*v = -z + 10*v + 10 for z. 4 Solve -3*o = 4*s - 12, -61 = -4*s - 49 for o. 0 Solve 3*u = -3*k - 2*u - 18, 5*k = -4*u - 17 for k. -1 Solve -p = 3, 21 = -3*r + 9*p - 11*p for r. -5 Solve 7 = 2*c - 3*z, -8 + 17 = 4*c - z for c. 2 Solve 5*c + 0*h = -3*h + 19, h = -3*c + 9 for c. 2 Solve -2*v = -3*m + 1, m + 1 = -v - 7 for m. -3 Solve -2*h + 13 = 3*o - 16, -3*o + 33 = 3*h for h. 4 Solve 5*x - 1 - 10 = 2*b, -12 = 4*b for x. 1 Solve 2*j + 2*s = 2, -4*j + 59 = -4*s + 31 for j. 4 Solve -10*v + 4 = -14*v - 4*u, -2*v - 2 = 3*u for v. -1 Solve 5*g - 4*w + 3 - 25 = 0, 4*w + 20 = 4*g for g. 2 Solve 2*p - 2*g - 5 = -3*g, 5*g = p - 19 for p. 4 Solve 0 = 4*d - 5*g - 17, -2*g - 4 = -2*d - 4*g for d. 3 Solve -3 = o - 2*c, 3*c - 2*c = 5*o + 6 for o. -1 Solve 12*z = 14*z - 2*n - 14, -2 = -2*z - 2*n for z. 4 Solve -2*k - k - 3*s = 12, 5*s = -3*k - 16 for k. -2 Solve 0 = -4*w - 3*l + 7, 0*w + 5*l - 2 = 3*w for w. 1 Solve -s - 4 = -2*r, -3*s + 2 = 4*r - 3*r for s. 0 Solve -6*v = -4*v - 4*d + 2, -4*d = -4*v + 4 for v. 3 Solve 2*n - 28 = 6*n - 5*j, n + 2*j = 6 for n. -2 Solve 0 = 2*d + 2, -29*c = -26*c + d + 7 for c. -2 Solve -3*r + u - 13 = 0, 5*r + 5*u - 15 = 10*r for r. -5 Solve -3*z - u = -6*u - 18, 5*u + 15 = 0 for z. 1 Solve 3*v + p = v + 2, -5*p - 3 = -3*v for v. 1 Solve -1 = -x + 4*a, -2*x + 8*a - 6*a - 4 = 0 for x. -3 Solve 4*l = -3*k + 16, -4*k + l - 27 = k for k. -4 Solve -2*u - 3*j = 11, 0 = 3*u - 0*j - j - 11 for u. 2 Solve 0 = -j - p - 5, -3*j = -p + 2 + 1 for j. -2 Solve 0 = a - 11*k + 7*k, 0 = -3*a - k for a. 0 Solve 19*r + 16 = y + 14*r, 0 = 5*r + 15 for y. 1 Solve -1 + 7 = -i, -12 = -3*b + 4*i for b. -4 Solve -s + 3 = -t, 0 = 2*s - 3 + 9 for t. -6 Solve 2*g + 5 + 5 = -2*c, -5*c + 11 = -4*g for c. -1 Solve -5*a - 27 = 3*o - 9, -5*a = -3*o + 12 for o. -1 Solve -3*i + 6 = -4*o - 7, -2*i = -3*o - 9 for i. 3 Solve 5*r - 2 = -2*t + 6*t, 2*t = -r - 8 for r. -2 Solve 4*s - 2*y = 2, 0 = y - 70 + 67 for s. 2 Solve w + 4*w - 2 = 3*v, 2*v - 3*w = -2 for v. -4 Solve 0 = -5*n - 2*v - 25, -5*n + 25 = -10*n - 3*v for n. -5 Solve 4*i + 2*s - 10 = 0, 2*i + 31*s - 29*s = 0 for i. 5 Solve 1 + 19 = 5*g, -5*g = 4*j for j. -5 Solve a - 5*g + 8 = 0, a + 17*g = 16*g - 2 for a. -3 Solve -4*k = -4*j - 43 + 15, -2*k - 5*j - 14 = 0 for k. 3 Solve c - 6 + 11 = -2*x, x - 5 = -2*c for x. -5 Solve -3*w - 12 = -c - 4, 5*c = 3*w + 4 for w. -3 Solve 0 = -4*k + 3*z + 4, 6*k - k - 5*z - 5 = 0 for k. 1 Solve -19*k + 21*k - 7 = y, 3*y - 4 = k for y. 3 Solve 3*g - 3*v + 15 = 0, 4*v = 9*g - 12*g - 1 for g. -3 Solve -t + 13 = 2*s, -t - 2*s + 28 = 3*s for t. 3 Solve -5*w - 4*d = -0*w + 35, -37 = 4*w + 5*d for w. -3 Solve 4*x = 14*t - 15*t + 24, -2*x = 3*t - 22 for x. 5 Solve 2*n = 7*n - 5*s - 15, -n - s + 7 = 0 for n. 5 Solve 2*q - 4*w - 6 = -2, -5*q + 3*w - 11 = 0 for q. -4 Solve 5*o + 5*y = 0, 8*y = 6*y - 2 for o. 1 Solve 0 = 5*t - 4*w - 5, -2*t + 29*w - 27*w = -4 for t. -3 Solve -v = 2*b + 20, -5*v + 5*b = -35 - 0 for v. -2 Solve 4*s + 7*y - 25 = 2*y, 3*s - y = -5 for s. 0 Solve 2*j + 2*j = -2*r + 12, 12 = 4*j - 4*r for j. 3 Solve u - 2*u + 3*y - 8 = 0, y + 16 = 5*u for u. 4 Solve 5*z = -2*o + 12, 2*z - 3 - 5 = -4*o for z. 2 Solve 9 = 3*o - 2*y, -6*y + 4*y = 0 for o. 3 Solve 4*x - 5*f = -0*f + 20, 16 = 3*x - 4*f for x. 0 Solve 5*i + 28 = 2*n, -4*i - n + 19 = 31 for i. -4 Solve -5 = -w + 2*s, 3*w = -0*w + s - 10 for w. -5 Solve -x = 4*q + 2 + 7, -4*x = -5*q + 15 for q. -1 Solve 5*r - 30 = -2*h - 0*r, 0 = -2*h + 3*r - 2 for h. 5 Solve 2*v + 0*z = -2*z + 10, 2*v + 4*z = 12 for v. 4 Solve 12*u = 10*u - 10, -2*i = 2*u + 14 for i. -2 Solve m + 8 = 51*t - 55*t, t + 5*m + 21 = 0 for t. -1 Solve -4*z - 2*c = -10, 19*c - 9 = -4*z + 16*c for z. 3 Solve -3*l + 3 - 17 = -5*s, -l - 10 = -3*s for s. 4 Solve 5*x - 2*f + 35 = 19, 4*x - 3*f + 10 = 0 for x. -4 Solve 14 = 2*q - 4*t, -333*t = -q - 330*t + 12 for q. -3 Solve -20*a = -15*a + m + 4, 0 = -m - 4 for a. 0 Solve 7*p + 19 = 10*v - 13*v, -4*v - 21 = 5*p for v. -4 Solve 4*g + 4*t = -g - 17, -2*g = -2*t + 14 for g. -5 Solve 2*p - 21 = 5*u, 37 - 31 = -p - 3*u for p. 3 Solve 0*t + 17 = -4*t + y, 2*y = -4*t - 14 for t. -4 Solve 5*t + 2*u + 6 = -2, 0 = 5*u - 5 for t. -2 Solve -2*m - 6 = -q, -13*q + 9*q = 4*m + 24 for q. -2 Solve m + 1 = h, -2*h + 3*m + 5 = 2*m for h. 4 Solve -15 = -5*r, -64*b = -69*b - 4*r + 22 for b. 2 Solve -4*l - 2 = -3*m, -3*l - 21 = -2*m - 19 for l. -2 Solve -10*f + 12*f - 28 = -4*k, -4*f = -5*k + 9 for k. 5 Solve 14*r + 5*l - 18 = 18*r, -r = -3*l + 8 for r. -2 Solve -r - 3*h + 12 = -1, -h + 9 = 5*r for r. 1 Solve -f - 4*s + 9*s = 22, 5*s = 2*f + 24 for f. -2 Solve -3*p = p - 16, 2*p = -4*m - 8 for m. -4 Solve 3*g + 18 = y, 0*y - 5*g = y + 22 for y. 3 Solve -4*v + 4*i + 16 = 0, -5*i - 11 = 9 for v. 0 Solve -4*i = -5*j - 9, -3*j = -7*j - 2*i - 2 for j. -1 Solve -3*t + 3*g = g - 5, 2*g = -4*t + 2 for t. 1 Solve -2*d - v + 0 = 3, -3*v + 9 = -3*d for d. -2 Solve 5*f + 2 = -5*b - 3, 2*b - 5*f + 30 = 0 for b. -5 Solve -2*w + 3*u + 9 = 0, 5*w + 2*u = -2*u + 11 for w. 3 Solve -3*v - 11 = -2*x, -4*x - 36 = 2*v - 2 for v. -7 Solve -3*x + n + 4*n + 3 = 0, 4*n + 12 = 0 for x. -4 Solve 3*h = -5*b - 0*b + 12, 4*h - 3*b - 16 = 0 for h. 4 Solve 0 = -2*o - 2*y + 4, -2*o + 3*y - 13 + 2 = 0 for o. -1 Solve -2*b = -r + 6, 9*r + b + 21 = 14*r for r. 4 Solve -h = -5*b - 23, -b + 0*b - 15 = 5*h for h. -2 Solve -127*z = -3*f - 132*z - 19, 4*f = -z + 3 for f. 2 Solve -5*p = 4*w, -5*p = -6*w + 2*w for w. 0 Solve 2*d - 1 = u, -22*u + 14 = -25*u - 5*d for u. -3 Solve 4*u - 134*n + 9 = -137*n, -2*n - 6 = 0 for u. 0 Solve -5*g = -y - 7, -3*g = 2*y - 15 + 3 for g. 2 Solve r = l - 1, -36*l + 33*l + 8 = 2*r for r. 1 Solve 4*s = 2*a + 20, 0 = -s + 5*a - 7*a + 5 for s. 5 Solve -2*a - 3 = -t, 3*t + 5*a = t - 21 for t. -3 Solve -4*t = r + 10 - 1, -22 = 2*t + 4*r for t. -1 Solve -4*f - i = -6*f - 5, 5*i = -4*f + 11 for f. -1 Solve -4*h + b - 45 = -46, b = 5*h for h. -1 Solve -2*r + 3*m = r - 18, 5*r + 4*m - 12 = 0 for r. 4 Solve -3*g + 3*t = t + 4, t = -1 for g. -2 Solve -3*p + 10 = 2*y, 32*p + 5*y = 30*p + 25 for p. 0 Solve 2*u + 8 = 4*c, 25*u - 21*u = -c + 20 for u. 4 Solve 5*o + i = -24, 4*o + 3*i + 12 = o for o. -5 Solve -2*g - 22 = -4*y, -y - 8*g = -9*g - 6 for y. 5 Solve -3*n = 2*f - 25, n - 2*n = 2*f - 15 for n. 5 Solve t - 2*t + 11 = 5*p, -t = -14*p + 27 for p. 2 Solve v + 14 = 5*b, 4*v + 2 = 2*b - 18 for v. -4 Solve 2*d + 5*c + 28 = 0, 5*c - 25 = -3*d - 57 for d. -4 Solve b + 3 = -9*u + 6*u, 0 = -2*u - 4*b - 12 for u. 0 Solve 4*u - 7 - 9 = -r, -3*u + 35 = -5*r for u. 5 Solve -l - 15 = -5*k, 3 = -2*k - l + 9 for k. 3 Solve -4*f + 0*f = -5*t, -3*f + t = -11 for f. 5 Solve 0 = -5*b - 5, -b = 4*g - 11 - 4 for g. 4 Solve 178*m = 183*m - 2*u + 6, -3*m + 5*u - 15 = 0 for m. 0 Solve 4*i + 5*s + 2 = 0, 3*s = i + s - 6 for i. 2 Solve 7*x = -4*r + 3*x - 36, 4*r + 12 = 2*x for r. -5 Solve 0 = 12*i, -l + 3*i = l - 7*l - 20 for l. -4 Solve 5*f + 10 + 22 = 3*k, -4*f = 3*k + 4 for f. -4 Solve 3*z = 2*j
{ "pile_set_name": "DM Mathematics" }
7. (s + 55158)**2/7 Find o, given that 3*o**2 - 874668*o + 63753675852 = 0. 145778 Factor 2*k**3/5 - 5264*k**2/5 + 5262*k/5. 2*k*(k - 2631)*(k - 1)/5 Suppose 4*i**3/3 + 6224*i**2/3 + 374356*i/3 + 1914312 = 0. What is i? -1494, -31 Factor -4*z**4/3 + 175192*z**3/3 + 116800*z**2. -4*z**2*(z - 43800)*(z + 2)/3 Determine r so that 8*r**4 + 356*r**3 + 508*r**2 - 344*r = 0. -43, -2, 0, 1/2 Factor -2*k**2/13 - 818*k/13 + 4980/13. -2*(k - 6)*(k + 415)/13 Factor 2*v**2/3 + 56*v/3 + 320/3. 2*(v + 8)*(v + 20)/3 Solve 2*p**3 + 608*p**2 - 13650*p = 0. -325, 0, 21 Factor -v**3/8 + 81*v**2/2 + 325*v/8. -v*(v - 325)*(v + 1)/8 Factor -4*z**5/7 + 692*z**4 - 4816*z**3. -4*z**3*(z - 1204)*(z - 7)/7 Find t, given that 2*t**5/9 - 4*t**4/9 - 1312*t**3/9 - 3892*t**2/9 - 3874*t/9 - 1288/9 = 0. -23, -1, 28 Factor s**3/2 + 39*s**2/2 + 148*s - 168. (s - 1)*(s + 12)*(s + 28)/2 Solve n**3/4 - 13*n**2/2 + 167*n/4 - 119/2 = 0 for n. 2, 7, 17 Find b such that 3625216*b**5 - 14508480*b**4 - 101475580*b**3 - 115793680*b**2 + 243600*b - 128 = 0. -2, 1/952, 8 Factor -b**4/8 - 369*b**3/8 - 3090*b**2 - 57800*b. -b*(b + 40)**2*(b + 289)/8 Determine c so that 3*c**5 - 813*c**4/2 + 3297*c**3 - 14907*c**2/2 + 3018*c + 3810 = 0. -1/2, 2, 5, 127 Let 4*n**4 + 424*n**3 + 1220*n**2 - 1696*n - 4944 = 0. What is n? -103, -3, -2, 2 Factor -5*z**3 - 8475*z**2 + 25490*z + 33960. -5*(z - 4)*(z + 1)*(z + 1698) Suppose 10*i**3 - 326*i**2 + 188*i + 128 = 0. What is i? -2/5, 1, 32 Suppose 3*j**4 - 32343*j**3 + 116154396*j**2 - 138687291600*j - 976513707456 = 0. What is j? -7, 3596 Factor i**3/7 + 4278*i**2/7 + 102240*i/7 + 612576/7. (i + 12)**2*(i + 4254)/7 Let 4*p**3 + 400*p**2 - 5232*p + 16128 = 0. What is p? -112, 6 Solve -9*n**5/5 + 1992*n**4/5 + 58383*n**3/5 + 280566*n**2/5 + 349176*n/5 + 124992/5 = 0 for n. -21, -4, -1, -2/3, 248 Suppose 2*v**3 + 34250*v**2 + 146203750*v - 3676531250 = 0. Calculate v. -8575, 25 Solve 3*a**4 + 317829*a**3 - 953505*a**2 + 953511*a - 317838 = 0. -105946, 1 Factor 2*t**2/5 - 10908*t/5 - 24046. 2*(t - 5465)*(t + 11)/5 Factor 2*t**2 + 44666*t + 178632. 2*(t + 4)*(t + 22329) Solve 4*x**2 + 644056*x + 25925508196 = 0 for x. -80507 Determine z, given that 2*z**4/5 - 56*z**3/5 + 454*z**2/5 - 1168*z/5 + 768/5 = 0. 1, 3, 8, 16 Factor -24*t**4/5 - 32052*t**3/5 - 47898*t**2 - 119595*t - 99600. -3*(t + 1328)*(2*t + 5)**3/5 Let -x**4/4 - 27*x**3/4 - 131*x**2/4 + 663*x/4 = 0. What is x? -17, -13, 0, 3 Let h**4 - 61782*h**3 + 954253880*h**2 + 61782*h - 954253881 = 0. What is h? -1, 1, 30891 Let 3*x**3 - 817053*x**2 - 1634115*x - 817059 = 0. Calculate x. -1, 272353 Factor 3*d**4 + 21081*d**3 + 49279959*d**2 + 38090648235*d - 542985908766. 3*(d - 14)*(d + 2347)**3 Suppose -3*o**5/2 + 21891*o**4/2 + 9*o**3 - 65685*o**2 + 175137*o/2 - 65673/2 = 0. What is o? -3, 1, 7297 Factor -z**2/4 - 77275*z/2 - 5971425625/4. -(z + 77275)**2/4 Suppose h**5 + 226*h**4 + 12296*h**3 - 54934*h**2 - 110745*h + 476100 = 0. Calculate h. -115, -3, 3, 4 Determine c, given that -2*c**5/7 + 606*c**4 - 4180*c**3/7 - 127048*c**2/7 - 322128*c/7 - 33920 = 0. -2, 7, 2120 Suppose 2*h**2 - 810*h - 68688 = 0. What is h? -72, 477 Determine d so that -2*d**5/7 - 13078*d**4/7 - 21424982*d**3/7 - 149478298*d**2/7 - 234733952*d/7 - 106667560/7 = 0. -3266, -5, -1 Determine i so that -1156*i**2 - 4021656*i - 3497776164 = 0. -29571/17 Let -4*a**4/7 - 1997224*a**3/7 - 249304484404*a**2/7 + 498614960496*a/7 - 249308478864/7 = 0. What is a? -249654, 1 Find x such that x**5/4 - 131*x**4/4 + 1847*x**3/2 + 1979*x**2/2 - 3695*x/4 - 3827/4 = 0. -1, 1, 43, 89 Factor u**2/2 + 7278*u + 14554. (u + 2)*(u + 14554)/2 Determine a so that 3*a**2 - 241818*a - 1692873 = 0. -7, 80613 Let 4*m**2/5 - 405688*m/5 + 10286422084/5 = 0. What is m? 50711 Determine c, given that -4*c**2 - 11384*c + 756860 = 0. -2911, 65 Factor -o**3/2 - 5*o**2 + 11*o/2. -o*(o - 1)*(o + 11)/2 Determine n so that -4*n**2 - 116002*n + 232020 = 0. -58005/2, 2 Solve -2*n**4 - 1846*n**3 - 5488*n**2 + 29416*n - 22080 = 0. -920, -6, 1, 2 Factor -5*y**2 - 557115*y - 2785450. -5*(y + 5)*(y + 111418) Factor 3*f**3 - 738*f**2 - 6075*f - 5334. 3*(f - 254)*(f + 1)*(f + 7) Find u such that 3*u**4/7 + 2*u**3 - 289*u**2/7 - 300*u/7 = 0. -12, -1, 0, 25/3 Factor -4*i**3 + 812452*i**2 - 41255296992*i + 41254484544. -4*(i - 101556)**2*(i - 1) Determine w, given that -4*w**4/3 + 530*w**3/3 - 12836*w**2/3 - 323528*w/3 - 197136 = 0. -27/2, -2, 74 Find h such that 25*h**5/2 - 605*h**4/4 - 1895*h**3/2 - 6215*h**2/4 - 685*h + 85 = 0. -2, -1, 1/10, 17 Factor -s**3/5 + 28819*s**2/5 - 17290*s + 57632/5. -(s - 28816)*(s - 2)*(s - 1)/5 Factor j**4 + 56*j**3 + 293*j**2 - 13790*j + 58800. (j - 8)*(j - 6)*(j + 35)**2 Factor 3*t**3 - 54156*t**2 + 54153*t. 3*t*(t - 18051)*(t - 1) Factor 8*i**2/15 + 158*i/15 - 412/5. 2*(i - 6)*(4*i + 103)/15 Solve -150*f**5 - 1649*f**4 - 6289*f**3 - 9558*f**2 - 4736*f + 32 = 0 for f. -4, -2, -1, 1/150 Suppose -142*z**5/5 + 651*z**4/5 - 551*z**3/5 - 384*z**2/5 + 36*z/5 = 0. What is z? -1/2, 0, 6/71, 2, 3 Suppose 368*w**3/11 + 1340*w**2/11 - 358*w/11 = 0. Calculate w. -179/46, 0, 1/4 Factor -5*n**3 + 590*n**2 - 14795*n - 15390. -5*(n - 81)*(n - 38)*(n + 1) Suppose -2*p**3 + 312*p**2 - 7110*p - 7424 = 0. Calculate p. -1, 29, 128 Solve 4*l**4 + 8329*l**3 - 14586*l**2 + 4169*l + 2084 = 0 for l. -2084, -1/4, 1 Let -z**4/4 - 199*z**3/4 - 1879*z**2/4 + 2079*z/4 = 0. What is z? -189, -11, 0, 1 Factor t**4/5 - 179*t**3/5 + 1344*t**2 + 119808*t/5. t*(t - 96)**2*(t + 13)/5 Suppose 2*l**5 + 268*l**4 + 7344*l**3 - 27028*l**2 - 75026*l - 40920 = 0. Calculate l. -93, -44, -1, 5 Suppose 2*k**4/13 + 200*k**3/13 - 2248*k**2/13 - 5280*k/13 = 0. Calculate k. -110, -2, 0, 12 Find o, given that -o**2 + 1338812*o - 448104392836 = 0. 669406 Factor m**2/2 - 43*m/2 - 147. (m - 49)*(m + 6)/2 Factor p**4/5 - 2696*p**3/5 + 539*p**2. p**2*(p - 2695)*(p - 1)/5 Suppose 3*c**2/4 - 34179*c/4 - 34185/2 = 0. What is c? -2, 11395 Solve -u**5 + 52562*u**4 - 420438*u**3 + 315284*u**2 + 2102135*u + 1313850 = 0 for u. -1, 5, 52554 Let 4*k**2 + 304*k - 140148 = 0. Calculate k. -229, 153 Factor m**2 + 32146*m + 128568. (m + 4)*(m + 32142) Suppose -2*b**3/11 + 802*b**2/11 + 3264*b/11 - 9720/11 = 0. Calculate b. -6, 2, 405 What is d in d**4/2 + 41*d**3 + 2277*d**2/2 + 11368*d + 18502 = 0? -29, -22, -2 Let 6*m**5/5 + 112*m**4/15 - 82*m**3/5 + 28*m**2/5 + 32*m/15 = 0. What is m? -8, -2/9, 0, 1 Factor z**3/7 - 2256*z**2/7 - 11299*z/7 - 1938. (z - 2261)*(z + 2)*(z + 3)/7 Factor -4*r**3 + 48*r**2 + 6700*r - 20424. -4*(r - 46)*(r - 3)*(r + 37) Let -3*x**4 + 10134*x**3 + 50736*x**2 + 30474*x - 91341 = 0. Calculate x. -3, 1, 3383 Factor -v**2/8 - 45213*v/2 - 180851/8. -(v + 1)*(v + 180851)/8 Factor -b**2/8 + 381*b/2 - 760. -(b - 1520)*(b - 4)/8 Let 10*i**2/7 + 429474*i/7 + 171788/7 = 0. What is i? -42947, -2/5 Factor 5*j**3/4 - 255*j**2/2 + 12895*j/4 - 6195/2. 5*(j - 59)*(j - 42)*(j - 1)/4 Let -3*q**3/4 + 7101*q**2/2 - 184029*q/4 - 212445/2 = 0. Calculate q. -2, 15, 4721 Determine p, given that 5*p**3/3 - 460*p**2/3 + 685*p + 3480 = 0. -3, 8, 87 Let 14*n**2/5 + 37062*n/5 + 10588/5 = 0. Calculate n. -2647, -2/7 Factor -4*v**2 + 1224*v - 46980. -4*(v - 261)*(v - 45) Factor -52983218*w**2 - 61764*w - 18. -2*(5147*w + 3)**2 Factor -3*x**2/8 + 711*x/8 - 8229/4. -3*(x - 211)*(x - 26)/8 Suppose y**4 + 2713*y**3 + 5423*y**2 + 2711*y = 0. Calculate y. -2711, -1, 0 Determine k so that -5*k**2 - 3305*k - 16400 = 0. -656, -5 Determine z, given that -5*z**4 - 86665*z**3 = 0. -17333, 0 Determine g, given that g**3 - 853*g**2 + 180616*g + 549552 = 0. -3, 428 Find z such that 3*z**2/7 + 45300*z/7 - 38844 = 0. -15106, 6 Let 2*g**4/7 - 486*g**3/7 - 9330*g**2/7 - 17194*g/7 - 8352/7 = 0. What is g? -16, -1, 261 Factor -4*o**3/3 - 560*o**2/3 + 5332*o/3 - 4768/3. -4*(o - 8)*(o - 1)*(o + 149)/3 Factor h**3 - 66*h**2 - 5460*h + 362600. (h - 70)**2*(h + 74) Factor -2*z**4 + 88512*z**3 - 884970*z**2 + 2212300*z. -2*z*(z - 44246)*(z - 5)**2 Factor 4*s**3/3 - 464*s**2 - 9916*s/3 - 2840. 4*(s - 355)*(s + 1)*(s + 6)/3 Suppose 3*n**5 + 5925*n**4/2 + 1461237*n**3/2 - 373467*n**2 - 1833234*n - 732108 = 0. Calculate n. -494, -1, -1/2, 2 Determine r, given that 10*r**5 - 34*r**4 - 638*r**3 + 1010*r**2 + 9700*r - 4000 = 0. -5, 2/5, 5, 8 Let -5*f**5 - 5*f
{ "pile_set_name": "DM Mathematics" }
1*l + h*l - l. Let n(u) = -d(u) - 2*g(u). Let y(a) = 2*a + 22. Calculate 12*n(i) + 5*y(i). -2*i + 2 Let k(t) be the third derivative of t**6/120 + t**5/60 - t**2 + 40*t. Let h(u) = 7*u**3 + u**2. Let v(x) = -x + 7. Let g be v(6). Determine g*h(n) - k(n). 6*n**3 Let u(x) = 6787319*x**2 + 7964*x - 7964. Let o(s) = 5966*s**2 + 7*s - 7. Determine -7964*o(i) + 7*u(i). -1991*i**2 Let h(g) be the third derivative of g**4/24 - 5*g**2 - 208. Let u(z) = -33*z. Determine 2*h(c) + u(c). -31*c Let u(f) = -8*f**2 - 4*f - 4. Let m(i) = -145*i**2 + 1161*i - 7. Let o be m(8). Let p(z) = -z**2 + z + 1. Give o*u(d) + 4*p(d). -12*d**2 Let x(u) = -17*u + 6. Let m(o) = -o**2 + 35*o - 228. Let g be m(26). Let w(y) = -51*y + 17. What is g*w(c) - 17*x(c)? -17*c Let p(u) = u**2 - u - 73. Let s be p(-8). Let l(g) = -2*g. Let y(i) = 2*i + 9. Let z(q) = 4*q + 20. Let x(o) = 9*y(o) - 4*z(o). What is s*l(h) - 2*x(h)? -2*h - 2 Let v(u) = 7 + 8 - 14. Let o(z) = -5*z - 2. Let i = 101 - 102. Let x(y) = i*o(y) - 4*v(y). Let g(q) = -1. What is 2*g(d) - x(d)? -5*d Let s(m) = -27*m**3 + 8*m**2 - 55*m - 2. Let i(h) = -17*h**3 + 6*h**2 - 36*h - 1. Determine 8*i(z) - 5*s(z). -z**3 + 8*z**2 - 13*z + 2 Let b(n) = 6*n**2 - 7*n + 8. Let f(w) = 5*w**2 - 7*w + 7. Let h be -4 - (6/(-2) + -1*(-5 - 1)). What is h*f(p) + 6*b(p)? p**2 + 7*p - 1 Let y(f) = -5*f - 3. Let n(x) = -3 - x - 3 - 8*x. Let a = 155 - -332. Suppose -508 + a = -3*p. Determine p*y(u) - 4*n(u). u + 3 Let a(f) = -f - 1. Let k be (16/(-20))/((-520)/24600) - (-4)/26. Let c(n) = 57*n + 38. Give k*a(y) + c(y). 19*y Let y(n) = 5*n - 2. Let l(i) = -i + 1. Let s = 5772 + -5771. Let t = -4 - -9. Suppose -t*a - s = -6. What is a*y(o) + 2*l(o)? 3*o Let l(y) = y**3 - 10. Let u(q) = 2*q**3 + 6*q + 44. Let a(g) = -5*l(g) - u(g). Let p(d) = 169*d**3 + 143*d - 143. What is 143*a(z) + 6*p(z)? 13*z**3 Let d(b) = 1368*b + b**3 - 671*b - 1 + b**2 + 0*b**2 - 696*b. Let l(m) = 4*m**3 + 3*m**2 + m + 1. Determine -2*d(w) + l(w). 2*w**3 + w**2 - w + 3 Let b = 730 + -729. Let o(z) = -b - 8*z + 1 + 7*z - 2 + 1. Let q(y) = -55*y - 66. Calculate 66*o(f) - q(f). -11*f Let h(v) = v + 0*v + 0*v - 5. Let t(r) = 31 - 136 - 6*r + 51 + 51 + 29. Calculate -16*h(f) - 3*t(f). 2*f + 2 Let y(u) be the third derivative of -u**5/60 + u**4/24 + 8*u**2 + 97. Let r(d) = -20*d**2 + 32*d. Give 3*r(v) - 96*y(v). 36*v**2 Let i = 64 - 59. Let h(v) = 0*v + i*v - 20*v - 4. Let p(u) = -u + 5. Let b(q) = 2*q - 3. Let x(y) = -3*b(y) - 2*p(y). Determine 6*h(l) - 22*x(l). -2*l - 2 Let w(s) = s**2 + 7*s + 2. Let y(t) = -2*t**2 - 15*t - 5. Suppose -114*l = -111*l + 3*z - 30, -2*z = 3*l - 22. What is l*y(p) + 5*w(p)? p**2 + 5*p Suppose 0 = 308*r - 301*r - 7. Let i(k) = 5*k + 34*k - 38*k - r. Let l(n) = -11*n**2 - 5*n + 5. Calculate 5*i(j) + l(j). -11*j**2 Let i(h) = -2641*h**3 + 133. Let v(d) = -80*d**3 + 4. Let k = -9134 - -9267. Determine k*v(u) - 4*i(u). -76*u**3 Let b(y) = 7*y**3 + 3*y**2 - 6*y - 6. Let s(h) = 8*h**3 + 4*h**2 - 7*h - 7. Determine -7*b(j) + 6*s(j). -j**3 + 3*j**2 Let l(g) = -2159*g + 136. Let t(z) = 2159*z - 102. What is 3*l(f) + 4*t(f)? 2159*f Let d(m) = -m. Let a = 4 + 0. Let l(y) = 6*y. Suppose 0 = -713*v + 705*v + 8. Calculate a*d(u) + v*l(u). 2*u Let k(h) = -h. Let d = 17154 - 17127. Let x(v) = -9*v**2 + 27*v. Give d*k(s) + x(s). -9*s**2 Let g(j) = -17*j**2 - 5. Let n = -725 - -729. Let u(r) = -8*r**2 - 2. Determine n*g(a) - 9*u(a). 4*a**2 - 2 Let q(r) = -4942*r + 9. Let s(n) = -32404702*n + 59016. Calculate -19672*q(m) + 3*s(m). 4918*m Let j(f) = -12*f - 9. Let q = 1650 + -1652. Let z(b) = 4*b + 3. Give q*j(x) - 7*z(x). -4*x - 3 Let a(l) = -13*l + 7. Let d be -2 + 61 + -1 - -1. Let f = d - 48. Let k(g) = 0*g - 4 + g + 6*g. Determine f*k(x) + 6*a(x). -x - 2 Let h(t) = -533*t**3 + 4*t**2 + 2*t + 28. Let g(d) = -532*d**3 + 5*d**2 + 3*d + 35. Give -4*g(u) + 5*h(u). -537*u**3 - 2*u Let w = -510 + 506. Let q(n) = 6*n - 3. Let v(d) = -d**2 + 3*d + 3. Let o be v(4). Let j(f) = -f. Calculate o*q(m) + w*j(m). -2*m + 3 Let i(g) = g**2 + g - 1. Let u(c) = -2*c**2 + 10. Let f(x) = -3*x**2 + x + 11. Let y(v) = -5*f(v) + 6*u(v). Calculate -5*i(b) - y(b). -8*b**2 Let h(v) = -102*v - 186. Let q(c) = -29*c - 53. Give 7*h(z) - 24*q(z). -18*z - 30 Let r(n) = 2432*n**2 + 8*n - 5. Let l(q) = -2427*q**2 - 10*q + 6. Calculate 5*l(m) + 6*r(m). 2457*m**2 - 2*m Let v(h) = -72*h + 68. Let b(j) = 145*j - 152. Give -4*b(q) - 9*v(q). 68*q - 4 Let b(r) = -4*r**3 + 3*r**2 + 1. Let t(c) = -2*c**3 + c**2. Suppose 4*v - 32*v = -30128. Suppose -3*z + 1097 = v. Calculate z*t(f) - 3*b(f). -2*f**3 - 2*f**2 - 3 Let g(y) = 10555*y**2 + 27*y - 10537*y**2 - 21 - 6*y. Let f(a) = -a**2 - a + 1. Calculate -42*f(s) - 2*g(s). 6*s**2 Let w(h) = h**3 - 4*h**2 + 5*h. Let d(p) = 2*p**3 - 8*p**2 + 11*p. Let s(o) = 165*o**3 + 0*o**2 - 161*o**3 - 2 + 2*o**2. Let c be s(1). What is c*d(g) - 9*w(g)? -g**3 + 4*g**2 - g Let i(x) = -4*x**2 + 5*x + 3. Let a(z) = -91*z + 60. Let p be a(-7). Let j = p + -702. Let v(b) = -4*b**2 + 6*b + 3. Calculate j*v(w) + 6*i(w). -4*w**2 + 3 Let u(w) = 9*w**2 + 8*w - 9. Let r = -34 - -37. Suppose 0 = i + 3, 0 = b - r*i - 3 - 1. Let l(m) = -4*m**2 - 4*m + 4. Give b*l(y) - 2*u(y). 2*y**2 + 4*y - 2 Let i(h) = -2*h - 1. Let t(p) = 6*p + 4. Let s(j) = -14*i(j) - 4*t(j). Let r(l) be the second derivative of -l**3/2 + l**2 - 17*l. Calculate 6*r(y) + 5*s(y). 2*y + 2 Let r(x) = x + 1. Let k = -12 + 13. Let d(f) = 15 + 3*f + 3*f - 2*f - 10 - f**2. Suppose -6*z = 1 + 35. Give k*d(l) + z*r(l). -l**2 - 2*l - 1 Let d(j) = 18604*j**2 + 195. Let f(v) = -34612742*v**2 - 362778. What is -9302*d(k) - 5*f(k)? 9302*k**2 Let u(c) = -13 - 5*c + 21 + 1 - 5. Let d(y) = 10*y - 9. Suppose 0 = -2*z - z - 3*b - 21, 0 = -5*z - 3*b - 39. What is z*u(m) - 4*d(m)? 5*m Suppose 17 = -y + 5*d, -4*y + 3 = -5*d + 71. Let g(h) = 6*h + 14. Let m be (-380)/(-57)*3/4. Let f(b) = 17*b - 2*b - 7*b + m - 6*b. Calculate y*f(w) + 6*g(w). 2*w - 1 Let r(u) = -4 + 4 + u. Suppose -180*j + 1795 = 2155. Let l(c) = -4*c - 3. Calculate j*r(v) - l(v). 2*v + 3 Let c(h) = -2*h**2 + 5*h. Let t(n) = 6*n**2 - 14*n. Suppose -4*u - 5*f + 27 = 0, -4*u + 28 = 8*f - 4*f. What is u*c(r) + 3*t(r)? 2*r**2 - 2*r Let m(k) = 60*k + 5*k**3 - 68*k + 7*k + 2*k**2 + 3. Let j(r) = 4*r**3 + 3*r**2 + 2. Give 3*j(f) - 2*m(f). 2*f**3 + 5*f**2 + 2*f Let q(i) = 5*i**2 + 15*i - 47. Let g(s) = -7*s**2 - 23*s + 47. Calculate -2*g(o) - 3*q(o). -o**2 + o + 47 Let h(o) = -70200*o**2 + 1620*o. Let p(j) = 2160*j**2 - 50*j. Give -5*h(a) - 162*p(a). 1080*a**2 Let b(r) = -8*r**2 + 6*r - 7. Suppose -103*x - 600 = -31*x + 28*x. Let o = 7 + -14. Let a(f) = 7*f**2 - 5*f + 6. Calculate o*a(y) + x*b(y). -y**2 - y Let l(j) = 10*j**2 + 6*j. Let d(c) = -7*c**2 - 4*c. Suppose 37*y + 25 = 42*y. Let q(n) = -n**3 + 7*n**2 - 9*n - 12. Let k be q(y). Determine k*d(p) - 5*l(p). -p**2 - 2*p Let h(t) = -9*t**2 - 6*t - 6. Let g = 0 + -43. Let o = g + 49. Let q(u) = u**2 + u + 1. Determine o*q(r) + h(r). -3*r**2 Let z(f) be the first derivative of f**6/72 + 5*f**3 + 41. Let o(d) be the third derivative of z(d). Let a(s) = 6*s**2 + s. What is 3*a(c) - 4*o(c)? -2*c**2 + 3*c Let r(q) = 10739*q + 13. Let i(h) = -21473*h - 24. Give 6*i(j) + 11*r(j). -10709*j - 1 Let x(z) be the second derivative of 4*z**3/3 + 5*z**2/2 - 1753*z. Let o(d) = 23*d + 16. Give 2*o(w) - 7*x(w). -10*w - 3 Let g(l) = -2 + l - 2 - 6 + 5 + 10. Let t(x) = 3. Let b(i) = 2. Let m(o) = -9*b(o) + 5*t(o). What is -3*g(v) - 5*m(v)? -3*v Let t(f) = -f**2 - 4*f - 2. Let i(w) = -1101*w**3 + 3303*w**2 + 13212*w + 6606. Give i(o) + 3303*t(o). -1101*o**3 Let l(c) = -1. Let p(a) = -7 + 27 - 5 + 3*a - 4 - 4. Let y = -75 + 69. What is y*l(b) - p(b)? -3*b - 1 Let u(s) be the third derivative of -s**4/8 - 2*s**3/3 + 24*s**2. Suppose -4*q = -5*o - 15, -31*q - 19 = -4*o - 34*q. Let k(p) = -p. Determine o*u(f) - 4*k(f). f - 4 Let x = -2901 + 2889. Let r(t) = -3*t + 5. Let y(n) be the third derivative of n**4/3 - 2*n**3 - 4*n**2. Calculate x*r(s) - 5*y(s). -4*s Let z(h) = 6438*h - 663. Let g(j) = -1073*j + 117. What is 34*g(w) + 6*z(w)? 2146*w Let x(b) = 14*b - 20. Let h = 56 - 57. Let l be 8/32*(451 - (h - 0)). Let f = l - 119. Let t(p) = 5*p - 7. Calculate f*x(m) + 17*t(m). m + 1 Let x(j) = -49. Let k be 8/(-6)*(17 - (-558)/(-36)). Let o(d) = d -
{ "pile_set_name": "DM Mathematics" }
7 List the prime factors of 1667. 1667 What are the prime factors of 1298? 2, 11, 59 List the prime factors of 2012. 2, 503 List the prime factors of 303. 3, 101 What are the prime factors of 1566? 2, 3, 29 What are the prime factors of 98210? 2, 5, 7, 23, 61 What are the prime factors of 16756? 2, 59, 71 What are the prime factors of 16666? 2, 13, 641 List the prime factors of 410. 2, 5, 41 List the prime factors of 163424. 2, 5107 List the prime factors of 120050. 2, 5, 7 What are the prime factors of 3230? 2, 5, 17, 19 List the prime factors of 9482. 2, 11, 431 What are the prime factors of 525? 3, 5, 7 List the prime factors of 4602. 2, 3, 13, 59 List the prime factors of 11995. 5, 2399 What are the prime factors of 58994? 2, 13, 2269 List the prime factors of 4532. 2, 11, 103 What are the prime factors of 4606? 2, 7, 47 What are the prime factors of 74300? 2, 5, 743 List the prime factors of 37742. 2, 113, 167 List the prime factors of 33587. 33587 List the prime factors of 12063. 3, 4021 List the prime factors of 39362. 2, 19681 List the prime factors of 4728. 2, 3, 197 List the prime factors of 1049. 1049 List the prime factors of 39124. 2, 9781 What are the prime factors of 381? 3, 127 What are the prime factors of 78423? 3, 26141 What are the prime factors of 25778? 2, 12889 List the prime factors of 91860. 2, 3, 5, 1531 List the prime factors of 215. 5, 43 What are the prime factors of 1074? 2, 3, 179 List the prime factors of 3506. 2, 1753 List the prime factors of 633. 3, 211 What are the prime factors of 1108? 2, 277 List the prime factors of 338. 2, 13 What are the prime factors of 8124? 2, 3, 677 What are the prime factors of 2115? 3, 5, 47 What are the prime factors of 337? 337 List the prime factors of 40106. 2, 11, 1823 What are the prime factors of 3039? 3, 1013 List the prime factors of 331. 331 What are the prime factors of 12697? 12697 List the prime factors of 1062. 2, 3, 59 List the prime factors of 28914. 2, 3, 61, 79 What are the prime factors of 12371? 89, 139 List the prime factors of 16970. 2, 5, 1697 List the prime factors of 26443. 31, 853 What are the prime factors of 3383? 17, 199 List the prime factors of 1641. 3, 547 List the prime factors of 127. 127 What are the prime factors of 867? 3, 17 What are the prime factors of 1454? 2, 727 List the prime factors of 1001. 7, 11, 13 What are the prime factors of 633? 3, 211 List the prime factors of 30427. 30427 List the prime factors of 1999. 1999 List the prime factors of 22560. 2, 3, 5, 47 List the prime factors of 6418. 2, 3209 List the prime factors of 39650. 2, 5, 13, 61 List the prime factors of 15941. 19, 839 List the prime factors of 3215. 5, 643 What are the prime factors of 373? 373 What are the prime factors of 83304? 2, 3, 13, 89 List the prime factors of 7419. 3, 2473 List the prime factors of 37537. 37537 List the prime factors of 109578. 2, 3, 7, 2609 What are the prime factors of 58466? 2, 23, 31, 41 List the prime factors of 734. 2, 367 List the prime factors of 7247. 7247 What are the prime factors of 600? 2, 3, 5 What are the prime factors of 7027? 7027 What are the prime factors of 1934? 2, 967 What are the prime factors of 392? 2, 7 What are the prime factors of 25638? 2, 3, 4273 What are the prime factors of 1538? 2, 769 List the prime factors of 4056. 2, 3, 13 List the prime factors of 4805. 5, 31 List the prime factors of 1092. 2, 3, 7, 13 What are the prime factors of 382? 2, 191 What are the prime factors of 4038? 2, 3, 673 What are the prime factors of 4924? 2, 1231 What are the prime factors of 32428? 2, 11, 67 List the prime factors of 29727. 3, 367 List the prime factors of 1841. 7, 263 List the prime factors of 1752. 2, 3, 73 List the prime factors of 6162. 2, 3, 13, 79 What are the prime factors of 2453? 11, 223 List the prime factors of 61527. 3, 20509 What are the prime factors of 4213? 11, 383 List the prime factors of 7652. 2, 1913 What are the prime factors of 1170? 2, 3, 5, 13 List the prime factors of 10628. 2, 2657 What are the prime factors of 16? 2 What are the prime factors of 103423? 103423 What are the prime factors of 4676? 2, 7, 167 What are the prime factors of 903? 3, 7, 43 List the prime factors of 19367. 107, 181 List the prime factors of 65473. 233, 281 What are the prime factors of 5575? 5, 223 What are the prime factors of 3768? 2, 3, 157 List the prime factors of 35951. 35951 List the prime factors of 416. 2, 13 What are the prime factors of 36? 2, 3 List the prime factors of 399. 3, 7, 19 What are the prime factors of 9426? 2, 3, 1571 List the prime factors of 26248. 2, 17, 193 What are the prime factors of 1970? 2, 5, 197 List the prime factors of 3906. 2, 3, 7, 31 List the prime factors of 21379. 21379 List the prime factors of 21857. 11, 1987 What are the prime factors of 402? 2, 3, 67 List the prime factors of 10486. 2, 7, 107 What are the prime factors of 1516? 2, 379 What are the prime factors of 2684? 2, 11, 61 List the prime factors of 2436. 2, 3, 7, 29 What are the prime factors of 5616? 2, 3, 13 What are the prime factors of 5187? 3, 7, 13, 19 List the prime factors of 3914. 2, 19, 103 List the prime factors of 698. 2, 349 List the prime factors of 3856. 2, 241 List the prime factors of 45. 3, 5 List the prime factors of 5905. 5, 1181 List the prime factors of 83874. 2, 3, 7, 1997 What are the prime factors of 3218? 2, 1609 List the prime factors of 594. 2, 3, 11 What are the prime factors of 4442? 2, 2221 What are the prime factors of 874? 2, 19, 23 What are the prime factors of 1395? 3, 5, 31 What are the prime factors of 2828? 2, 7, 101 List the prime factors of 887. 887 List the prime factors of 6350. 2, 5, 127 List the prime factors of 4318. 2, 17, 127 What are the prime factors of 795? 3, 5, 53 What are the prime factors of 3350? 2, 5, 67 List the prime factors of 811. 811 List the prime factors of 100124. 2, 25031 What are the prime factors of 112023? 3, 461 What are the prime factors of 810? 2, 3, 5 What are the prime factors of 2150? 2, 5, 43 What are the prime factors of 6554? 2, 29, 113 List the prime factors of 4671. 3, 173 List the prime factors of 2208. 2, 3, 23 What are the prime factors of 3547? 3547 What are the prime factors of 7029? 3, 11, 71 List the prime factors of 506. 2, 11, 23 List the prime factors of 263. 263 What are the prime factors of 11615? 5, 23, 101 What are the prime factors of 587? 587 What are the prime factors of 4053? 3, 7, 193 List the prime factors of 98723. 269, 367 What are the prime factors of 1680? 2, 3, 5, 7 List the prime factors of 2593. 2593 List the prime factors of 466. 2, 233 What are the prime factors of 577? 577 List the prime factors of 1614. 2, 3, 269 List the prime factors of 4538. 2, 2269 What are the prime factors of 6805? 5, 1361 What are the prime factors of 12017? 61, 197 What are the prime factors of 32562? 2, 3, 67 List the prime factors of 50640. 2, 3, 5, 211 List the prime factors of 19220. 2, 5, 31 List the prime factors of 9030. 2, 3, 5, 7, 43 List the prime factors of 1706. 2, 853 List the prime factors of 32745. 3, 5, 37, 59 List the prime factors of 6118. 2, 7, 19, 23 List the prime factors of 1556. 2, 389 What are the prime factors of 6377? 7, 911 List the prime factors of 4411. 11, 401 What are the prime factors of 1998? 2, 3, 37 List the prime factors of 12139. 61, 199 List the prime factors of 5855. 5, 1171 What are the prime factors of 9322? 2, 59, 79 What are the prime factors of 1833? 3, 13, 47 What are the prime factors of 392? 2, 7 List the prime factors of 100. 2, 5 What are the prime factors of 23075? 5, 13, 71 What are the prime factors of 23926? 2, 7, 1709 What are the prime factors of 3345? 3, 5, 223 What are the prime factors of 614? 2, 307 What are the prime factors of 5972? 2, 1493 What are the prime factors of 1635? 3, 5, 109 What are the prime factors of 11416? 2, 1427 What are the prime factors of 3221? 3221 List the prime factors of 2136. 2, 3, 89 List the prime factors of 22963. 22963 What are the prime factors of 6146? 2, 7, 439 List the prime factors of 455. 5, 7, 13 What are the prime factors of 18127? 18127 What are the prime factors of 1320? 2, 3, 5, 11 List the prime factors of 5078. 2, 2539 What ar
{ "pile_set_name": "DM Mathematics" }
2/25)/x*x))))/x))**(-39) assuming x is positive. x**(-10803/25) Simplify a*a**0*a**(-5)/a*(a**(-6)*a)/a*a*a**2 assuming a is positive. a**(-8) Simplify (r/(r**(-19)/r*r))/(r*r*r**(-2/13)/r*r*r) assuming r is positive. r**(223/13) Simplify (y/(y*y/(y*y**(-3)))*y/y**9)/((y/y**(1/10))/(y/y**(-8))) assuming y is positive. y**(-29/10) Simplify (((h*h/(h**(2/13)/h))/h)/h)/(h/h**5) assuming h is positive. h**(63/13) Simplify (((m/(m*m*m**(2/5)*m))/m)/m*m*m*m**4)/(m**(-5)/(m*m/(m**(-2/23)/m*m))) assuming m is positive. m**(999/115) Simplify ((d*d*d/(d*d*(d*d**3*d)/d))**(-2/25))**(-18) assuming d is positive. d**(-108/25) Simplify n**(1/8)/n**(-4)*(n*n**(-5)/n*n)/(n**(-5)/n*n) assuming n is positive. n**(41/8) Simplify ((x*x**(-6)/x)/x**8)**(-11) assuming x is positive. x**154 Simplify ((s/s**1)/s*s/s**2*s)**32 assuming s is positive. s**(-32) Simplify c**(-2/3)/(c*(c*c/c**(-1/24))/c) assuming c is positive. c**(-65/24) Simplify (m/(m/(m**3*m)))/m*m**3*(m*m**(-1/4))/m**0 assuming m is positive. m**(27/4) Simplify (u**(-2/7)/(u**1*u*u))**(-1/15) assuming u is positive. u**(23/105) Simplify (u**(2/7)*u)**(1/9)*u**1*u/u**(3/2) assuming u is positive. u**(9/14) Simplify x*x/(x*(x*x/(x**(-4)*x))/x)*x*x**(-5)*(x/x**0)/(x**(1/3)/x*x) assuming x is positive. x**(-19/3) Simplify (x**(-1/3))**(-2) assuming x is positive. x**(2/3) Simplify (d*d*(d/(d*d**0))/d*d*d**(4/3))/(d**(-1/2))**(-4/7) assuming d is positive. d**(64/21) Simplify ((d/(d/(d/(d**(-1)/d*d)*d)*d))/((d*d*d*d*d**8*d)/d))**(-2/69) assuming d is positive. d**(20/69) Simplify a**(-9)/(a*a**5)*(a*a/(a/(a**(-2/35)*a)))/(a*a/(((a/(a**(6/7)*a))/a)/a)) assuming a is positive. a**(-627/35) Simplify (f**1)**(-44)/(f**(-6)*f**6*f) assuming f is positive. f**(-45) Simplify (h**(-9))**(-4) assuming h is positive. h**36 Simplify (c**(-5)*c*c/(c*c**(-2/25)))/(c*(c*c**3)/c*(c*c/c**(-1/3))/c) assuming c is positive. c**(-694/75) Simplify (h*h*h**6/h*h)/h**(-8)*(h*h**(-6)*h)/((h*h/(h**(-1/3)/h*h)*h)/h) assuming h is positive. h**(29/3) Simplify (c**9/c)**(-49) assuming c is positive. c**(-392) Simplify (m**3)**(5/2)*(m*m*m**(-3/4))/((m/(m/m**3*m*m))/m) assuming m is positive. m**(35/4) Simplify ((t**(1/2)*t)/t)**48/(t**6/(t/(t/t**(-5)))) assuming t is positive. t**13 Simplify ((d*d**(1/3))**(-3/4))**(2/27) assuming d is positive. d**(-2/27) Simplify (l*l**(-2))/l*(l*l**(4/7))/l*(l*l**(-1))**33 assuming l is positive. l**(-10/7) Simplify (x/x**(3/4))**25 assuming x is positive. x**(25/4) Simplify ((b/(b*b**(-1/13)))/b)/b**3 assuming b is positive. b**(-51/13) Simplify ((v/(v**17*v))/v)/((v**2/v*v)/v) assuming v is positive. v**(-19) Simplify ((f*(f**(-29)/f*f)/f)/f)/f**0 assuming f is positive. f**(-30) Simplify ((((v*v/(v*v*v**(-2))*v)/v)/v)/(v**(3/4)/v*v))**(-46) assuming v is positive. v**(-23/2) Simplify (y**21/(y*y*(y**0*y)/y))**(-50) assuming y is positive. y**(-950) Simplify (f**(-1/9))**(-8) assuming f is positive. f**(8/9) Simplify g**(-18)*g**(15/8) assuming g is positive. g**(-129/8) Simplify (q**0/(q/q**(-1)))/(q**1/q**(1/4)) assuming q is positive. q**(-11/4) Simplify ((n/(n*n**0*n))/n)**(-8)*(n/n**(-1/7))/(n*n/(n**(-1)*n)) assuming n is positive. n**(106/7) Simplify (((a**(-1/9)/a)/a)/a)/(a*a**17) assuming a is positive. a**(-190/9) Simplify (s*s**0)**(23/2)*s*s**(3/5)*s/(s*s**8/s*s) assuming s is positive. s**(51/10) Simplify (v**(17/3)/v)/(v*v**19*v) assuming v is positive. v**(-49/3) Simplify (d*d/d**5*d*(d**(-4)/d)/d)/(d**(-3)/(d*d*((d*d*d*d/(d*(d/(d**(-1/3)/d))/d))/d)/d)) assuming d is positive. d**(-10/3) Simplify (w*w/w**(2/5))**(-5/3)*w**(-5/2)/(w**(-6)/w) assuming w is positive. w**(11/6) Simplify (d/(d**(-1/5)*d)*d*d*d*d*d/(d*d**(3/13))*d)**(8/11) assuming d is positive. d**(2584/715) Simplify (g**(-1/2)/((g**(-2)/g)/g))/(g**(-1)*g*g/(g*g/((g*g/g**6)/g*g)*g)*g) assuming g is positive. g**(17/2) Simplify h**(-1/4)/(h/(h/h**(-2/25)*h))*(h**2)**7 assuming h is positive. h**(1483/100) Simplify (d/d**(2/33))/d**(-3/7) assuming d is positive. d**(316/231) Simplify (((w**(-1/25)*w*w)/w)/w**0)**(1/53) assuming w is positive. w**(24/1325) Simplify ((y*y**(-11/2)*y*y)/y)/(y*y/(y*y/(y*y**4/y*y)*y)) assuming y is positive. y**(-15/2) Simplify a*a*a*a*a**(6/17)*a*(a*(a*(a*a**(-13)/a*a)/a*a*a)/a)/a assuming a is positive. a**(-96/17) Simplify (w/(w**(-4/5)/w))/(w*w**27) assuming w is positive. w**(-126/5) Simplify ((r*r**1)/r*r**(2/5))/((r/((r*r**1)/r))/(r**(-5)*r)) assuming r is positive. r**(-13/5) Simplify (p*p**(-3/2)/p)/(p/(p*p**(-1/7))) assuming p is positive. p**(-23/14) Simplify v**(1/4)*v**(1/4)*v**(2/11)*v**(2/11) assuming v is positive. v**(19/22) Simplify (w**(7/6)*w)/(w*w**(-15)*w) assuming w is positive. w**(91/6) Simplify r**21*r/(r*(r*r**(-6))/r) assuming r is positive. r**27 Simplify (j/j**4*j**(2/11)/j)**(-42) assuming j is positive. j**(1764/11) Simplify (w*w**(-11))/(w/w**(42/5)) assuming w is positive. w**(-13/5) Simplify (((x**(2/11)/x)/x)**25)**(-18) assuming x is positive. x**(9000/11) Simplify (w/w**(2/13)*w*w)/w*w**(1/4)*((w*w**(-1/3)/w*w)/w)/w*w/(w*w**(-11)) assuming w is positive. w**(1835/156) Simplify ((g**(2/7))**23)**(-7) assuming g is positive. g**(-46) Simplify ((c*(c**(-7/3)*c)/c)/c)**(-6) assuming c is positive. c**14 Simplify (q*q**(2/5)*q**(-6/11))/((q**(-4)*q*q)/q**(1/8)) assuming q is positive. q**(1311/440) Simplify u/(u/(u**(2/25)/u))*u/(u*u**(-29)) assuming u is positive. u**(702/25) Simplify ((h/((h*h**(-1/3)/h)/h))**(-45))**(-4/9) assuming h is positive. h**(140/3) Simplify (i*i**(-1))**(2/23)*i**3*i*i/i**(2/5) assuming i is positive. i**(23/5) Simplify ((n*n**(1/8)/n*n)/n)/(n/n**(-6))*(n**(-2/7))**(-4/13) assuming n is positive. n**(-4941/728) Simplify y**(-3/16)/y**15 assuming y is positive. y**(-243/16) Simplify ((((k*k/k**2)/k)/k)**(-6/11))**(-27) assuming k is positive. k**(-324/11) Simplify (h/(h*h/(h/(h/(h/h**18)))*h)*h*h**(1/17))**13 assuming h is positive. h**(-3965/17) Simplify (g*g/(g/((g/(g*(g*g*g*g/(g/((g*g**(-3)/g*g*g)/g*g)))/g))/g)*g))**(-12)/(g**(-1/6)/g)**(1/12) assuming g is positive. g**(1735/72) Simplify (k*k**(-12)*k)**(1/12) assuming k is positive. k**(-5/6) Simplify (b**(-5/2)/b*b/(b**(5/6)/b)*b*b*b)/((b/(b**(2/5)*b))/(((b/b**7)/b)/b)) assuming b is positive. b**(-104/15) Simplify t*t/(t**(-7)/t)*t/((t**(1/2)/t)/t)*t assuming t is positive. t**(27/2) Simplify (x**(-2/3)/((x*x**(-1/2))/x))**(-5/9) assuming x is positive. x**(5/54) Simplify ((((l**(2/3)/l*l*l)/l*l)/l)/l)**(-16) assuming l is positive. l**(16/3) Simplify ((o*o*o**(-4/9))/(o*o/o**3))/(o*o**(-2))**(3/32) assuming o is positive. o**(763/288) Simplify a*a**0*a**(2/11)*a**(-6)*a/(a*a/(a*a*a**(-1/5)*a)) assuming a is positive. a**(-166/55) Simplify (h*h**(-6))**(-3/13) assuming h is positive. h**(15/13) Simplify ((u**(-2/11)*u)/u)/u**(1/12)*(u/(u/(u/u**(2/5))))**50 assuming u is positive. u**(3925/132) Simplify (q*q**(-7))/(q/(q*q*(q*q/q**(8/9)*q)/q)*q*q) assuming q is positive. q**(-53/9) Simplify ((w**1)**(36/5))**44 assuming w is positive. w**(1584/5) Simplify (((a*a**(-1/5)*a)/a*a)/a*a*a*(a/a**(-2)*a)/a*a*a)/(a/(a/(a/(a*a/((a*a**(1/4)*a)/a))*a*a)))**(-1/51) assuming a is positive. a**(2667/340) Simplify m**(-3/2)/m*m**0*m**(3/5)/(m/(m**(-4)/m)*m) assuming m is positive. m**(-89/10) Simplify (c/c**(-16))**(17/5) assuming c is positive. c**(289/5) Simplify (f/(f**8*f))**44 assuming f is positive. f**(-352) Simplify ((u*u*(u**(2/17)/u*u)/u)/u**3)**15 assuming u is positive. u**(-480/17) Simplify (p*p**5*p)/((p*p/p**(2/11))/p) assuming p is positive. p**(68/11) Simplify ((f*f**4*f)/f*f*f*f**(-3)*f*f*f)**(-21) assuming f is positive. f**(-147) Simplify (i**1*i)**(-38)*(i**(-2))**(-37) assuming i is positive. i**(-2) Simplify m/((m**(-16)/m)/m)*m*m**(4/3)*m assuming m is positive. m**(67/3) Simplify (l**(-2/5))**21/((l/l**1)/l*l)**33 assuming l is positive. l**(-42/5) Simplify k**(-1/13)/k**(3/4) assuming k is positive. k**(-43/52) Simplify m**(-10)*m*(m/(m*m**(3/7)))/m assuming m is positive. m**(-73/7) Simplify (h**(16/7)/h)/h**(1/2) assuming h is positive. h**(11/14) Simplify o**(-1/11)*o**(3/10) assuming o is positive. o**(23/110) Simplify (o*o**(-2/9))**(-14/9) assuming o is positive. o**(-98/81) Simplify ((x*x*x**(1/13)*x*x*x*x*x*x*x)/((x*(x/((x*x**(-1/3))/x))/x*x)/x))**(-1
{ "pile_set_name": "DM Mathematics" }
-1/7 d What is the nearest to 2/5 in 89/3, 23, 0.5, 0.014, -2/3? 0.5 Which is the nearest to 1390? (a) -2 (b) -12 (c) -14 (d) 4/3 (e) -3 (f) 0.4 d Which is the closest to -0.1? (a) -1 (b) -5 (c) -0.3 (d) 0.4 (e) -690631 c What is the nearest to 0.1 in 1, 0.2, 5803654? 0.2 Which is the nearest to 2/91871? (a) -0.11 (b) -0.5 (c) 0 (d) 5 c What is the nearest to 0.02355 in 1.2, 1/3, -0.09? -0.09 What is the nearest to 0.1 in -87, -1/5, -810, 55? -1/5 What is the nearest to -5 in -1, 2, -3, 10054, 3, 4? -3 What is the nearest to 1 in 24.5, -19, -46? -19 Which is the nearest to -1? (a) -786/17 (b) -1 (c) 0.8 (d) 65 (e) 1 b Which is the nearest to -65/4? (a) -16/7 (b) -0.13 (c) -3 (d) 20 c What is the closest to 62/13 in 1/5, 0.5, -0.03, 45.4? 0.5 Which is the closest to 0.012? (a) 57.46 (b) -16 (c) -2 c What is the nearest to -0.3 in 0.03, -5, -19/6, 1122/25? 0.03 Which is the closest to 0? (a) -0.02547 (b) 62 (c) -9 a Which is the closest to -221.7454? (a) -5 (b) 15 (c) 4 (d) 1/11 a Which is the closest to 0.06? (a) 128 (b) -0.4 (c) -3.262 b Which is the closest to 0.04? (a) -23 (b) 0 (c) -8 (d) 1.2 b Which is the nearest to -2.4? (a) 0.05 (b) -1/3 (c) 2209 (d) 0 b Which is the nearest to 0.11? (a) 1/6 (b) -0.2 (c) -1 (d) -75258/7 a What is the nearest to -162/35 in -0.07, 10780, 3? -0.07 Which is the nearest to 2/7? (a) -4/267 (b) -22 (c) 1466 a Which is the nearest to 0.01? (a) -1 (b) -58/5 (c) -132 a What is the closest to -1/4 in 1, 42219, 0, 1/2, 2? 0 What is the closest to 0 in 21, -115, -36, -1? -1 What is the nearest to -2/7 in 345, -11.5, -0.1, 1/6, -2/7, 1.3? -2/7 Which is the nearest to -0.07? (a) 6/5 (b) 4/29 (c) 5/17 b Which is the closest to 4/7? (a) 4/5 (b) 0.047 (c) -42 (d) 2 (e) -2/7 (f) -3 a What is the closest to -1 in -16, -89, 9/170? 9/170 Which is the nearest to 7/209? (a) -0.09 (b) -0.5 (c) 13 (d) -0.11 a Which is the nearest to -252067/4? (a) 1 (b) 2/9 (c) -1/10 c Which is the nearest to 0.01185? (a) -21 (b) 2 (c) -7 (d) 1 d What is the closest to 9/8 in 6/61, 5, -0.2, -2? 6/61 Which is the nearest to 63? (a) 0.56 (b) 118 (c) 0.4 (d) 1 b What is the nearest to 1 in 9, -0.3, 1.79, -1/159? 1.79 Which is the closest to 0? (a) 0.02 (b) -5 (c) -3595/14 a What is the nearest to -4 in 226, -5, 1.36, 0.2, 5? -5 What is the nearest to 6185 in 3, -6, -1/4, 0? 3 Which is the nearest to -2/7? (a) 3/8 (b) 0.1 (c) -3 (d) 7.6 (e) -5 b What is the closest to 7574696 in 4, 0.3, -1/5? 4 What is the nearest to 2/7 in 64, 3, -5684? 3 Which is the closest to 2/17? (a) 0.4 (b) 368/3 (c) 0.1 (d) 0.2 (e) 2 c What is the nearest to -1 in 3, -2.09, 0.08561? 0.08561 What is the nearest to 1 in -55, 3, -1/1564? -1/1564 Which is the nearest to 6? (a) -2 (b) -5 (c) 2/17 (d) -4 (e) 3 (f) -681 e What is the nearest to -65 in -11, -2/3, 0.5, 0.4? -11 Which is the closest to 1? (a) -51/7 (b) 1 (c) 0.06726 (d) -3 b Which is the nearest to -2/7? (a) 2 (b) -1/6 (c) 2/5 (d) 0.3 (e) 0.05357 (f) -6 b What is the nearest to 105 in 1750, -2/5, -181? -2/5 Which is the nearest to -0.1? (a) -5 (b) -31575 (c) 118 (d) -0.5 (e) 0.4 d Which is the nearest to 0.07955? (a) 0.3 (b) -3 (c) 86 a Which is the closest to 0? (a) 2 (b) -5 (c) 2630/7 a What is the nearest to -0.618 in -94, -5/4, 2/31, 3? -5/4 Which is the closest to -14? (a) -1 (b) 5 (c) -0.1 (d) 30730 (e) 10 a What is the nearest to 0.1 in -370.05, 0.1, 969? 0.1 What is the nearest to 1/7 in -2/11, 403, -2/5, -478? -2/11 What is the nearest to 0 in -10/11, 14, 5.4, 6, 0.5? 0.5 What is the closest to 0 in -4, 0.106, 75/821? 75/821 Which is the closest to 1? (a) 0.3 (b) 0.0455115 (c) 1/8 (d) 0 a Which is the closest to 1? (a) 15 (b) -0.3 (c) 2 (d) -3 (e) 2/19 (f) 571 e What is the closest to -1 in -5/3, -4/7, -55, -469, 12/5? -4/7 What is the nearest to -611 in 5, -0.585, -4? -4 What is the nearest to 2/113 in 5/2, -2903, 2/7? 2/7 Which is the nearest to -3? (a) 1.26491 (b) -1/3 (c) -3 (d) -2 c What is the closest to 110 in -19, 31, 1? 31 What is the nearest to -7 in -20, 3, -1/8, 15? -1/8 Which is the closest to -0.04? (a) -2/13 (b) 2137364/31 (c) -2 a What is the closest to -2 in -0.17642, 12, -2, 0.07? -2 Which is the nearest to 2/17? (a) -1626/5 (b) -6 (c) 1/4 (d) -2 c What is the closest to 4 in -4, 38.498, 1/5, -1/3? 1/5 What is the closest to 1027 in 3/7, -0.17, 0.5? 0.5 What is the closest to -13 in 6.5, 8, 2/83? 2/83 What is the closest to 1/5 in 0.075, -27, -2, -92/19? 0.075 Which is the closest to 0.6? (a) 218 (b) 3 (c) 2/9 (d) 277 (e) -0.1 (f) 1/4 f What is the closest to -2/7 in -147422, -4, 0, -1/3? -1/3 Which is the nearest to 95? (a) 0 (b) -328 (c) 2 (d) 5 d Which is the nearest to -240? (a) -5/9 (b) -4 (c) -5 (d) 1/7 (e) -4.4 c Which is the closest to 25? (a) -2/7 (b) 153 (c) -3 (d) -16 a What is the nearest to 2/7 in -2/7, -0.05, 10/9, -4, -1/4? -0.05 What is the nearest to -46435/4 in 0.0436, 2, -3? -3 What is the closest to -20/483 in -0.1, -1806, 5? -0.1 What is the closest to -2 in 3, 2/237, -1/2, 189? -1/2 What is the closest to 3/7 in 12.998, 1, 32.3? 1 Which is the closest to -1? (a) 19 (b) 1 (c) 0 (d) -4 (e) 13402 c What is the closest to 11321 in 11.1, 1, -3? 11.1 Which is the nearest to -4? (a) 27421.1 (b) 0.3 (c) -2/3 c What is the closest to -4 in -2/5, 2458, 2/7, -37, 0.3? -2/5 Which is the nearest to 0.1? (a) 3 (b) -27/11 (c) 53.3 b What is the closest to 27 in 2/3, 116, -2, 241? 2/3 Which is the closest to 4/29? (a) 0.1 (b) -5 (c) 47398 a Which is the nearest to -3/4633? (a) 0.6 (b) 1/13 (c) -1/5 (d) -5 (e) -0.1 b What is the closest to 2 in -2, 0.008, 14.78? 0.008 Which is the nearest to -12/11? (a) -2/5 (b) 0.3 (c) 0.2291 a Which is the closest to 24? (a) -39 (b) -22 (c) -0.4 (d) -1 (e) -4 c What is the nearest to 1 in -109/5, 0, 0.3, -1/7, -28/3? 0.3 What is the nearest to -1/7 in -1274.1, 34, -0.1? -0.1 What is the closest to -0.1 in -9, 1/26, 9, -0.14? -0.14 What is the nearest to -215 in -14/11, -5/3, 6? -5/3 What is the closest to 0 in -1/4, -95069, -1.5? -1/4 Which is the closest to -8? (a) 0.03 (b) 6 (c) -0.3 (d) 797 c What is the closest to 0.1 in -0.04, 5, 1/8, -1/7, -0.2, 2/29? 1/8 Which is the closest to -2/7? (a) 0 (b) 23518 (c) -1 (d) -20 a Which is the closest to -0.1? (a) 3 (b) 25 (c) 128 (d) 2041 (e) -4 a Which is the closest to 1? (a) 1/4 (b) 1 (c) 21958 (d) -0.2 (e) 43 b What is the closest to 1783 in -19, -4548, 2? 2 What is the nearest to 23 in 0, -0.03, -2, 13/6, -24, -1/6? 13/6 Which is the nearest to 0.0369? (a) -57.6 (b) -3/2 (c) -3 b Which is the nearest to 39/5? (a) 8 (b) 0.5 (c) 1/8 (d) 7 (e) 3/406 a Which is the nearest to -3? (a) 9.55 (b) -0.5 (c) -184 b Which is the nearest to -1? (a) 3/20 (b) 3/4 (c) 19 (d) -562 a Which is the nearest to 2/23? (a) -207 (b) -1/4 (c) -24 (d) -2 b What is the closest to 2/7 in 293/10, 3, 11/3, 0.2? 0.2 What is the closest to 381 in -1/2195, -2/11, 0.5? 0.5 What is the nearest to -10.6 in 2, 1/4, 1327? 1/4 Which is the closest to -1/74? (a) 16 (b) 5 (c) 3 (d) 31 (e) -1 e What is the closest to 0 in 1, -21886, -4? 1 Which is the nearest to 0.22? (a) -3/4 (b) -0.034 (c) -1.2 (d) -3 b What is the closest to -1/2014 in 1/5, -7, -4/3, 1, -17? 1/5 What is the nearest to -1 in 2, -1, -3, 121/3, -48? -1 What is the nearest to -0.1 in -14.6, -0.02, 2/11, 128, 2/9, -1? -0.02 What is the nearest to 0.4 in 0.2, 2/7, -1/2, 48729, 2, 0? 2/7 What is the nearest to 16 in -1/3, -55, -3, 5/7, 2/9? 5/7 What is the nearest to 3 in 11, -1, -179, 1/12, -2/3? 1/12 What is the closest to -0.043 in 30, -4, -1/25, -0.7? -1/25 Which is the closest to 0.2? (a) 34/11 (b) -487 (c) 2/7 (d) 1 (e) 2 c What is the closest to 25678 in -0.45, -1, -1/2, 5/6, 1? 1 Which is the closest to 0? (a) -5 (b) 29.07 (c) 1405 (d) -6 (e) 3 e What is the closest to -191 in -1/6, 4/389, -0.5, 4, -5? -5 Which is the nearest to -1? (a) 2/7 (b) 5 (c) -2 (d) 14281 (e) 0.2 c What is the nearest to 1 in 44/13, 4, 6/13, -0.33? 6/13 Which is the nearest to -1? (a) 82774 (b) -3/5 (c) 13 (d) 2/17 b Which is the closest to -6
{ "pile_set_name": "DM Mathematics" }
smallest value in 1.5, -1/13, s? s Let c = 83 + -91.695. Let j = c - -3.704. Let m = 0.009 - j. What is the fourth biggest value in m, -3, 3, -2/9? -3 Let h = -6831 + 6828. Which is the second biggest value? (a) 1/46 (b) 0.1 (c) 0 (d) h a Let a = -10144.5 - -10145. What is the fourth biggest value in 3/2, -1/4, 0.054, -3, a? -1/4 Let r = -778 - -3113/4. Let o = -176 + 185. Which is the third biggest value? (a) 2/3 (b) 3 (c) r (d) o a Let b = -26 - -25.865. Let k = 846.865 - 847. Let v = k - b. What is the biggest value in 0.05, v, -0.5, 0.2? 0.2 Let w(i) = 4*i**2 - 4*i + 4 - 3*i + 0*i**2 - 5*i**2. Let n be w(-8). Let o be n*3/150*5. Which is the biggest value? (a) 5 (b) o (c) 7 c Let t = -0.4 + 0.4. Let f = 11.05 - 0.05. Let k = 5 - f. Which is the fourth biggest value? (a) t (b) 5 (c) k (d) -3 c Let x = 22761/13 + -1751. What is the smallest value in x, 0.067, -0.3, 2? -0.3 Let m = 4069 + -4073. Let p = 2 - 1. Let o be (p/(-10))/((-1)/12). Which is the second smallest value? (a) m (b) 1/6 (c) o b Let y = 16.0658 - -0.9342. What is the third biggest value in 3/22, y, -0.4, 0.2? 3/22 Let q = -19 - -8. Let g(a) = -a**2 - 15*a - 53. Let s be g(-7). What is the biggest value in s, q, -4? s Let h = -4.2692 - -4.0692. Let p = -0.03 + 2.03. What is the fourth smallest value in h, 2/3, 2.1, p? 2.1 Let o = 16.1 + -16.505. Let u = -0.0458 + 0.3458. Which is the second smallest value? (a) o (b) 0 (c) u b Suppose 0 = 27*g - 0*g - 1134 + 5103. Which is the third biggest value? (a) g (b) -5 (c) 0.2 a Suppose s + 162 = -42*s + 16*s. What is the fourth biggest value in -0.3, 388, -5, s? s Let l = 10.729 - 10.769. What is the third smallest value in 0.37, l, -2/19? 0.37 Let r be ((-2*1)/(-30))/((-32)/80). Let p be (-1 - 3)/(2 + -3). Which is the second biggest value? (a) -0.1 (b) r (c) 3 (d) p c Suppose -5*s + 10 = -0*s - 4*v, 3*s - 19 = 5*v. Let m be s - ((-27)/21 + -1). Let x = -23.2 + -0.8. Which is the smallest value? (a) -4 (b) m (c) x c Let t be (-40)/22 - -1*2. Let d = 7836 - 54855/7. What is the fourth smallest value in 4, t, 6, d? 6 Let h = -1086 - -1081. Which is the fourth biggest value? (a) 2/21 (b) -3 (c) h (d) -17 d Let k = 2837.51 + -2824. Let w = k - 16.51. Let u = 11 + -8. Which is the biggest value? (a) w (b) -4/9 (c) 4 (d) u c Let i be 15/(-345)*1*-2*1. What is the second smallest value in i, -467, 1/4, -1/2? -1/2 Let p be 12/(-9) + (-2)/8*-4. Let t = 10.7 + -11. Let x be 12/(24/19) + -9. Which is the fourth biggest value? (a) 1/4 (b) t (c) p (d) x c Let m = 20/9 - 2. Suppose -225*o - 35*o + 1040 = 0. Let h = 2/3 - 1/3. Which is the biggest value? (a) o (b) -1/7 (c) h (d) m a Let y = 18087 - 18077. Let p = 1.2 - 0.2. Which is the third biggest value? (a) 1/4 (b) y (c) p a Let h = 7.74 - 2.74. Let j = 0.1 + -1.1. Let i = 119/2 - 179/3. Which is the smallest value? (a) h (b) i (c) j c Let i = 0.04 - 18.04. Let y = i - -20. Let x = y - 7. Which is the smallest value? (a) -0.1 (b) -0.5 (c) x c Let o(n) = -4*n**3 - n**2 + 14*n + 84. Let i be o(-4). What is the third biggest value in -1/5, i, 2/13? -1/5 Let p(m) = 18*m - 11. Let q be p(2). Which is the fourth biggest value? (a) -8 (b) -3 (c) q (d) -0.02 a Let d = -6315 + 6312. What is the fifth smallest value in 5, -2/3, d, -0.1, 2? 5 Let i = -542 - -530. Let m = 12/11 - 79/22. Which is the third smallest value? (a) m (b) i (c) -5 a Suppose -3*r = 5*m, -m = 4*r + m. Suppose -u - 8 + r = -5*o, o - 2 = 0. Let d = -2/29 - -43/203. Which is the second biggest value? (a) -3/8 (b) d (c) u b Let q = 6015/161 + -856/23. Which is the third smallest value? (a) 0.041 (b) -0.2 (c) q (d) -0.3 (e) 2 a Let l(d) = 5*d**3 + 13*d**2 + 2*d - 62. Let y be l(2). Which is the smallest value? (a) y (b) 0.5 (c) -25 c Let d = -13 + -6. Let h = d + 39. Let p = 15 - h. Which is the third smallest value? (a) -4/3 (b) -16 (c) p a Let k = 13/84 - -2/21. Let h be (-93 - -90)*(-3 + (-23)/(-6)). Which is the second biggest value? (a) k (b) -2 (c) h b Let g be (19 + 9252/(-486))/(2/12). Which is the third biggest value? (a) g (b) 2/9 (c) -2094 (d) 0 a Let q = -0.2699 - -0.0319. Let u = 0.662 - q. Which is the second smallest value? (a) -9 (b) u (c) -1/5 c Suppose -76*n - 126 = -85*n. What is the second biggest value in -0.1, -5, 8, n? 8 Let c = -0.3 - 0.2. Let k = -0.33 - -5.33. Let z = -3291.98 - -3292. What is the second smallest value in c, z, -1/9, k? -1/9 Let v be 0 + 1 - 3/(-6). Let j be 12 + (-2899)/169 + (-2)/(-13). Which is the biggest value? (a) -2.2 (b) 0 (c) j (d) v d Let d = -0.00209 + -2.99791. What is the third biggest value in -4.6, 3, d? -4.6 Let f = -91/3 - -1189/39. Let h = 68971 - 68971.06. What is the fourth smallest value in f, 0.2, h, -0.08? 0.2 Let u = -1057 - -15853/15. Which is the third smallest value? (a) 2/9 (b) u (c) -0.4 (d) -1/2 b Let f = -19.954 - -20.454. What is the biggest value in 2/13, f, -8, 5/3, 5? 5 Let u = -1480.5 + 1480. Let n = 4 + -6. Which is the smallest value? (a) u (b) 2 (c) n (d) -3 d Suppose -1975*d + 1970*d = 15. What is the fourth biggest value in -0.2, d, 1, 2/11, -118? d Suppose -8*k + 162 = -182. Let r = k + -39. Let u be (-1)/r + 9/((-648)/78). Which is the second smallest value? (a) 14 (b) -0.4 (c) u (d) -2 c Let z = -121.1 + 121.4. Let c = 0.277 + -0.177. What is the second biggest value in 5, z, c, 10/9? 10/9 Let h = -4006 - -40027/10. Let s = 277/90 + h. Which is the smallest value? (a) 207 (b) s (c) -0.1 b Let f = 1021 - 1434. Let i = f + 411. Which is the second biggest value? (a) 2 (b) i (c) 5 a Let z = 874 - 870. What is the third biggest value in 1, 182/43, -0.2, z? 1 Let r = 9351 + -9351.04. Which is the biggest value? (a) 0.1 (b) 4 (c) r (d) 0.9 b Let o = -0.069404 - -2.069404. Let m(h) = h**3 + h**2 - 4*h + 1. Let s be m(-3). Which is the fourth smallest value? (a) o (b) 2/7 (c) -2/7 (d) s a Suppose 2310 = -5*h - 5*y, 0 = 5*h - 5*y + 1081 + 1189. Let d = h + 457. What is the third smallest value in d, -72, -2/3? -2/3 Let s(q) = q**2 - 5*q + 8. Let v be s(4). Let t = -204 + 205. Let z be 45/39 + -1 - 0. What is the third biggest value in 3, z, v, t? t Suppose 21*r - 13*r = 280. Let g be 14/r*(105/54)/(-7). Which is the second smallest value? (a) -1/2 (b) 2/3 (c) -4 (d) g a Let n = -472 + 284. Let w be (-2)/(184/n) - (-1 - -3). Which is the smallest value? (a) w (b) 4 (c) -5 c Suppose 17*z = -29*z + 184. Let r = -476/1215 + -2/243. Which is the third biggest value? (a) -0.58 (b) r (c) 2/9 (d) z b Let n = -1328.246 + 1333. Let q = n - -0.246. Which is the smallest value? (a) 3 (b) 1/4 (c) 0.2 (d) q c Let q = -1691 + 1690.6. What is the second smallest value in 1/59, 4, 0.01, q, 0? 0 Suppose 0 = -5*o - 2*v - 33, 0 = 3*v - 2*v + 4. Let c(i) = -25*i + 176. Let a be c(7). Let j = -4 - -6. What is the fourth smallest value in 0, j, a, o? j Suppose 842*f + 2615 = 191*f - 3244. Which is the biggest value? (a) 4 (b) -10 (c) f a Let a be 40/(-6)*33/22. Let s be a/2*(-2)/5. Let c be s/(-12) - 225/(-702). What is the fourth biggest value in 0, -7, c, 5? -7 Let s = 73 - 72.6. Let z = 123.38 - 1.38. Let u = z + -125. Which is the smallest value? (a) s (b) 1/4 (c) -2 (d) u d Let n be (12/(-7))/((-3)/(21/2)). Let i be 2/n + 3/((-360)/55). Which is the third smallest value? (a) -0.1 (b) 0.06 (c) i b Let c = 115667/5 + -23133. Let s(g) = 11*g**2 + 3*g + 2. Let x be s(-5). What is the biggest value in x, -3/5, c? x Let h(k) be the third derivative of -5*k**4/24 - 35*k**3/6 - 10*k**2 - 1. Let g be h(-29). What is the fourth smallest value in 2/15, -0.1, g, -1/5? g Let m = -1929.5 + 1929.5. What is the fourth smallest value in -1, -5/2, -0.04, m? m Let s = 76 - 81. Which is the biggest value? (a) -0.4 (b) s (c) 2/23 (d) 3/26 d Let i = 10329 + -10334. What is the fifth smallest value in i, -1.5, -1, -1/2, 0.3? 0.3 Let k be (12/75*80/32)/((-56)/35). Which is the fourth biggest value? (a) k (b) -2/145 (c) 16 (d) 3/5 a Let i = -4422/13 - -340. Let h(s) = 2*s**2 + 7*s - 10. Let d be h(-4). What is the second smallest value in i, -3/7, d, 5? -3/7 Let p be (18/(-192))/((-20 - -22) + 9/(-4)). Which is the second smallest value? (a) 0 (b) p
{ "pile_set_name": "DM Mathematics" }
68 = 24. Let p be (333/(-37))/(22/(-16) + 1). Calculate the highest common factor of z and p. 8 Suppose -5*d = -7*h + h + 2*h + 81, 0 = -2*d - 26. Let a be ((-6)/4)/((-9)/264). Let b be 0*(-2)/(-6) + a. Calculate the greatest common factor of h and b. 4 Suppose 2*z - 7 - 46 = -5*m, 3*z = -3*m + 30. Suppose 109*j - 112*j + 252 = 3*q, -4*j + 2*q + 360 = 0. Calculate the greatest common factor of m and j. 11 Let l(o) = -o**3 - 20*o**2 + 22*o + 21. Let a be l(-21). Suppose -u + 27*u - 260 = a. Calculate the greatest common factor of u and 70. 10 Let t(s) = s**3 + 3*s**2 - s - 2. Let m be t(-3). Suppose 0 = -3*g + m + 2. Let x be 16 + 24/(-16)*(2 + 4). What is the greatest common factor of x and g? 1 Suppose 40*g + 40*g - 66*g - 2058 = 0. Calculate the greatest common divisor of g and 931. 49 Let z(w) = 37*w**2 - 58*w - 366. Let t(k) = 13*k**2 - 20*k - 122. Let d(g) = -17*t(g) + 6*z(g). Let f be d(19). What is the greatest common factor of f and 58? 29 Let j(x) = -121*x - 5910. Let a be j(-50). What is the highest common divisor of 4235 and a? 35 Suppose 26*h - 126*h = -800. What is the highest common divisor of h and 11? 1 Let w be (9/(-12))/(-22 - (-3955)/180). Calculate the greatest common factor of 4482 and w. 27 Let f(o) = 261*o + 87. Let j be f(5). What is the greatest common divisor of j and 240? 48 Let s = -1672 - -11392. Calculate the highest common factor of 40 and s. 40 Let o be (-1)/(10/(-1116)) - -2*9/(-30). What is the highest common divisor of o and 4107? 111 Suppose -c = 4*c + 55. Let p be c + (-1 - (-6 + 4)). Let v be 0*2/p + (1 - -62). What is the highest common divisor of v and 21? 21 Let r(y) = 3*y + 42. Let j be r(-14). Let u be j - -2 - 5 - -59. Let h = 19 + u. Calculate the greatest common factor of 15 and h. 15 Let g(u) = u**2 - 87*u - 641. Let x be g(-7). What is the highest common factor of x and 41021? 17 Suppose 5*a - 1164 = 4*g, 15*g = -5*a + 11*g + 1116. Calculate the greatest common divisor of a and 11058. 114 Suppose 0 = -4*o - 8, 2*n + n + 3*o = -6. Let f(i) = 36*i + 70. Let v be f(n). Calculate the highest common factor of 84 and v. 14 Let x = -12981 - -13034. Calculate the highest common factor of x and 2279. 53 Let o = 555 - 308. Suppose 2*s + 5*l - 48 + 17 = 0, -4*s + 4*l = -48. What is the highest common factor of o and s? 13 Let t = 73 - 68. Suppose 2*o + 3*o + t*g = 100, 0 = -4*g. Calculate the highest common divisor of 30 and o. 10 Let f(g) = -g**2 + 31*g - 76. Let v(q) = q**3 - 5*q**2 - 10*q - 8. Let w be v(7). Let h be f(w). What is the greatest common factor of 90 and h? 18 Suppose -x + 61809 = 5*z - 121231, -4*x = 0. Calculate the highest common factor of z and 208. 208 Let u = -18 - -27. Suppose -s + 1 = -u. Let g be 4488/40 - 2/s. What is the highest common divisor of 16 and g? 16 Suppose -3557 = 6*g - 4241. Calculate the greatest common divisor of 1311 and g. 57 Let p(l) = 1 + 5*l**3 - 53*l**2 + 41*l**2 + 38*l - 2 - 4*l**3. Let o be p(11). What is the highest common divisor of 16 and o? 8 Let d(u) = -3*u**3 + 8*u**2 - 5*u + 5. Let x be d(2). Calculate the highest common factor of 600 and x. 3 Let a be 34/9 - (-4)/18. Suppose -23 = -5*w - l, 0 = 2*w - 2*l + 3 - 5. Suppose -w*r = -4 - 0. What is the greatest common divisor of r and a? 1 Let x(n) = 183*n - 906. Let m be x(5). Calculate the highest common divisor of 258 and m. 3 Let q be (4/((-16)/6))/(5/700*-15). What is the highest common factor of q and 5621? 7 Let f(b) = 381*b - 7267. Let z be f(48). Calculate the greatest common divisor of 535 and z. 107 Let s(k) = 7*k + 54. Let c be s(-7). Suppose 3*q + c*f = 71, 3*q - 4*f = 171 - 55. What is the highest common factor of q and 128? 32 Suppose 14*d = 6*d + 80. Suppose -93 = 2*r - 269. Suppose -u + 72 = 3*s, 2*s - r = -2*s - 4*u. Calculate the greatest common divisor of d and s. 5 Suppose -3*b = -6*b + 75. Suppose b + 107 = 5*g - f, f + 24 = g. Calculate the greatest common divisor of g and 90. 9 Let z(j) = 2*j**3 - 29*j**2 - 19*j + 62. Let n be z(15). Suppose -n*d = 0, 434 = s + 37*d - 39*d. Calculate the highest common divisor of s and 28. 14 Suppose 0 = 2*o + 4*w - 432, -4*o + 3*w = -285 - 546. Let y be 8673/63 - (-6)/(-36)*-2 - 12. What is the greatest common divisor of y and o? 42 Suppose 165 = 36*m - 213 + 54. What is the greatest common factor of m and 8244? 9 Let m(k) = 3*k**2 - 112*k + 410. Let l be m(34). Let h = 30 + -16. What is the greatest common factor of l and h? 14 Suppose 7*b + 484 = -13. Let l = 75 + b. What is the highest common divisor of l and 14? 2 Let u(x) = 7*x - 25. Suppose -8 = 5*w + 37. Let p(n) = -3*n - 16. Let a be p(w). Let y be u(a). Calculate the greatest common divisor of 130 and y. 26 Suppose -758*q = -5*l - 759*q + 804, -5*q = -4*l + 620. Calculate the greatest common divisor of 2080 and l. 160 Let i(w) = -w**2 + 18*w - 1. Let j(d) = -d**2 + 3*d + 8. Let l be j(8). Let k = 41 + l. Let y be i(k). Calculate the highest common factor of 16 and y. 16 Suppose 2*c + 59 = 5*i, 3*c = -0*c + 9. Suppose i*g - 96 = 34. Calculate the highest common factor of 70 and g. 10 Let j(s) = 6*s + 31. Let c be j(-5). Let r be (c*6/(-3))/(-1). Calculate the highest common factor of r and 10. 2 Let u = -32 - -34. Suppose -u = r, -2*k - 2*r + 4*r = -48. What is the greatest common divisor of k and 2? 2 Suppose -2101 = -p - d, 4*p - 155*d + 150*d - 8449 = 0. What is the greatest common divisor of p and 243? 81 Suppose -6*k - 5*k = -1386. Let n = 152 + -138. What is the highest common factor of n and k? 14 Let o be 12/16 + (-167013)/(-36). What is the highest common factor of o and 58? 58 Let p be 5 - 136/(-6) - (-6)/(-9). Suppose -14*v = -2*l - 13*v + p, 0 = -l + 4*v + 31. What is the highest common factor of 407 and l? 11 Suppose -2*j = -q + 972, -7 = 214*j - 215*j. What is the greatest common factor of q and 406? 58 Let v(p) = 2*p**2 + 80*p - 329. Let d be v(-47). Calculate the greatest common divisor of d and 141. 47 Let l = 568 - 298. Calculate the greatest common factor of 90 and l. 90 Let x(l) = -2*l**3 + 2*l**2 + 15*l + 8. Let n be x(7). Let f = -450 - n. What is the greatest common factor of f and 575? 25 Let y(h) = 4*h**2 - 113*h + 1564. Let a be y(16). Calculate the greatest common factor of a and 108. 12 Let w be (-16)/(-2)*(-273)/52. Let r = w + 70. Suppose 0 = -5*l + 534 + 726. Calculate the highest common factor of l and r. 28 Suppose 14*o - 2391 = -38*o + 7593. What is the greatest common divisor of o and 1416? 24 Suppose 3*j + 16 = 7. Let k be j/(-2)*((-1)/3 + 1). Let o be (k/(-1) - 0)*(-6)/2. What is the greatest common factor of o and 12? 3 Let g(w) = 11*w + 352. Let q be g(-20). Suppose -43*v = -45*v + 440. Calculate the highest common factor of q and v. 44 Let s(l) = -9*l. Let g be s(-1). Let q = -1200 - -1209. What is the greatest common factor of g and q? 9 Suppose 1359 = 17*s - 919. Suppose -5*u - 97 - 38 = 5*m, 5*u + 4*m + s = 0. Let i be (3 - u/(-6))*(5 + -41). What is the greatest common divisor of 12 and i? 12 Suppose -672 = -14*g + 504. What is the greatest common divisor of 1869 and g? 21 Let o be 358394/1397 + (34/(-22) - -1). What is the greatest common divisor of o and 464? 16 Let x = -550 - -273. Let a = 398 + x. Suppose 23 = 2*z + u, -z = -2*u - 1 - 8. Calculate the highest common factor of z and a. 11 Suppose -k - 4*r + 8 = -8, -76 = -4*k - 4*r. Let h = 25 - k. Suppose -27 = -h*p + 53. Calculate the greatest common factor of 40 and p. 8 Let i = 85 - 19. Let c = 136 - i. Suppose -43 = -3*t + 272. Calculate the greatest common factor of t and c. 35 Let i be ((-3 + 4)*1)/((-5)/(-70)). Suppose 11 = 3*b - l, -b + 3*l + 3 = -i. Suppose -10 - 10 = -b*h. What is the greatest common divisor of 10 and h? 10 Suppose 4*z - 18 = -2*t, 3*z - 5 = 4*z. Let h be (-38)/18*((-122148)/(-117))/(-116). Calculate the greatest common divisor of h and t. 19 Let j = -147 + 237. Suppose -5*t + 4*t + 2 = 0, 0 = r + t - 16. Let q be (-6)/(r/(-20) - 1/(-2)). What is the highest common factor of q and j? 30 Suppose -23*h + 456 = 88. Calculate the greatest common factor of 472 and h. 8 Let c(h) = -8740*h + 134. Let y be c(-1). What is the greatest common factor of y and 29? 29 Let r(u) = 2*u + 44. Let q be r(-10). Suppose w + q + 3 = c, -2*c + 64 = -4*w. Calculate the greatest common
{ "pile_set_name": "DM Mathematics" }
5. What are the prime factors of h(-14)? 5, 2767 Let b be ((-3)/4)/((-20)/320). Suppose b*y - 6685 = -1441. What are the prime factors of y? 19, 23 Let r = 19209 + -6735. Suppose 2919 = -15*w + r. List the prime factors of w. 7, 13 Suppose -87*m + 79*m = -77499 + 22907. What are the prime factors of m? 2, 853 Suppose 5*r - r = 1052. Suppose -4*i + 4*h - 1128 = h, 4*h = -i - r. What are the prime factors of i/2*(-20)/15? 2, 3, 31 Suppose 17*p - 7033 = 4*p. Suppose -p + 2446 = 5*j. List the prime factors of j. 3, 127 Suppose 11*y - 2 = 42. Let s(r) = 4*r**3 - r**2 - r + 13. List the prime factors of s(y). 3, 83 Let o(u) = 2*u**3 - 28*u**2 - 2*u + 7. Let x be o(17). Let r = x - 1007. What are the prime factors of r? 2, 5, 7 What are the prime factors of 1006 + (-32)/(-4) + -7? 19, 53 List the prime factors of (-2 + 1)/(-4) - 857850/(-56). 15319 Let l(n) = -2*n + 62. Let o be l(29). Let q = 161 - -133. Suppose q = 3*w - o*y, -3*w + y - 26 = -311. List the prime factors of w. 2, 47 Suppose -35*f + 434980 = 30*f. List the prime factors of f. 2, 7, 239 Suppose -1112 = 3*s - 2*v, 2*v = -2*s - 3*v - 754. Let z = -153 - s. Suppose -z = -6*j + 747. List the prime factors of j. 7, 23 Let n(r) = 3521*r + 221. List the prime factors of n(3). 2, 337 Let l(j) = 3*j**2 - 4*j + 9. Let p be l(3). Let y = -93 - -168. Let q = y - p. What are the prime factors of q? 3, 17 Suppose 0 = 27*v - 17*v - 11030. Suppose 9*o = 877 + v. What are the prime factors of o? 2, 5, 11 Suppose -q + 3*x = 4*x + 58, -3*x - 229 = 4*q. Let k = 58 + q. What are the prime factors of (k - (-17)/(-4))/(8/(-416))? 5, 13 Let u(f) = -79*f - 170. Let c = -323 - -316. What are the prime factors of u(c)? 383 Suppose 63*d + 22440 = 83*d. Suppose 735 = -3*v + d. List the prime factors of v. 3, 43 Let y(m) = 2*m**2 - 7*m + 22. Let v be y(9). Suppose -3*h - v = -34. Let d = h + 50. List the prime factors of d. 3, 7 Let g be (-1910*1/(-8))/((-7)/168). What are the prime factors of (g/21 - 4)/((-17)/119)? 2, 3, 17, 19 Let f = -13090 + 16664. List the prime factors of f. 2, 1787 Suppose -8*m + 3*u + 90 = -5*m, m - 42 = 5*u. Suppose 0 = 28*c - m*c - 518. List the prime factors of c. 2, 7, 37 Let p = 4037 + 3760. List the prime factors of p. 3, 23, 113 Suppose 3*t - 36 = 4*s, -3*t = -3*s - 0*s - 39. Let b(k) = 5*k**2 + 30*k - 48. What are the prime factors of b(t)? 2, 107 Let j(o) = o**3 - 21*o**2 + 2*o - 10. Let t(p) = p**2 + 1. Let f(l) = -j(l) - 4*t(l). List the prime factors of f(-5). 2, 283 Let x be 4/6*-6 - -9. Suppose x*p + 3*d = 305, 5*p - 305 = 7*d - 3*d. What are the prime factors of p? 61 Suppose 0 = 70*f - 69*f - 60. Suppose 783 = -f*o + 69*o. What are the prime factors of o? 3, 29 Let k(i) = -9*i**2 + 26*i + 3. Let h be k(16). Let x = -954 - h. What are the prime factors of x? 7, 19 Let g = -50 - -58. Let p = g - 11. What are the prime factors of 51/1 - (p - -2)? 2, 13 Let g be (7 - (3 + 5)) + 15. Suppose -g*f = -6161 - 7545. What are the prime factors of f? 11, 89 Suppose 62*n = 75*n - 26871. Let j = n - 1224. What are the prime factors of j? 3, 281 Let o(y) = 116*y**2 - 22*y - 313. What are the prime factors of o(-8)? 3, 7, 347 Let i(s) = 38*s - 12. Let t be i(5). Suppose h + 101 = 3*m + m, -t = 2*h - 2*m. Let r = -72 - h. List the prime factors of r. 13 Let u = -6145 + 7566. What are the prime factors of u? 7, 29 Suppose -38*j = -33*j - 11640. List the prime factors of j. 2, 3, 97 List the prime factors of (-6 - 22/11)*5420/(-2). 2, 5, 271 Suppose -5*a - 340 = -0*a. Let h = -66 - a. Let x = h + 141. What are the prime factors of x? 11, 13 Let o(k) = 16*k**2 - 3*k + 1. Let w be o(-4). Let x = -67 + w. Suppose 3*m - x = m. What are the prime factors of m? 101 Let a be (-8 + 6 - -5) + -14. Let t(y) = 3*y**2 - 2*y - 19. List the prime factors of t(a). 2, 3, 61 Let i(w) = 35*w**2 + 34*w + 927. What are the prime factors of i(-17)? 2, 3, 109 Let j(z) = -24*z**2 - 6*z + 1. Let u be j(5). Let n = 35 - u. List the prime factors of n. 2, 83 Let x(w) = -w**3 + 4*w**2 - 2*w + 1. Let m be x(3). Let s be -2 - (22 - (m - 0)). List the prime factors of (3*(-28)/9)/(s/30). 2, 7 Suppose 0 = 5*u - 30 - 30. Suppose 37 - u = 3*s + 5*q, 10 = 4*s + 2*q. Suppose 0 = -2*a - 2*w - 3*w + 227, s = 2*a + 2*w - 242. What are the prime factors of a? 2, 3, 7 Let c = -12427 + 25629. List the prime factors of c. 2, 7, 23, 41 Let s be 14/21 + 82/(-6). Let d = s - -40. What are the prime factors of 630/d*3/2? 5, 7 Let b be ((-14)/(-21))/((-146)/(-72) - 2). Suppose 0 = 32*g - b*g - 1352. What are the prime factors of g? 13 Let v = 26372 - 17147. List the prime factors of v. 3, 5, 41 Let y(q) = 118*q**3 - 64*q + 14*q**2 + 24*q**2 + 7 - 119*q**3 + 70. List the prime factors of y(36). 5, 73 Let u(s) = -3*s**2 + 29*s - 28. Let k be u(1). Let d(i) = 50*i**2 + 4*i - 1. List the prime factors of d(k). 191 Let y(a) = 4172*a**3 + 13*a**2 - 16*a + 3. List the prime factors of y(1). 2, 7, 149 Suppose -4039*s + 4024*s + 129555 = 0. What are the prime factors of s? 3, 2879 Let a = 1377 + 1208. List the prime factors of a. 5, 11, 47 Suppose 2*d + 4*c = 730, -d + 3*d - 3*c - 695 = 0. Suppose 2*u = 6*u + 20, a + u = d. What are the prime factors of a? 2, 3, 5 Suppose 5*u - 3*w = 368, 72 + 289 = 5*u + 4*w. Suppose u*m - 3960 = 67*m. What are the prime factors of m? 2, 3, 5, 11 Let m(z) = -z - 4. Let g be m(-6). Suppose 3*u = -4*s + 898, 0 = 3*u + g*s - 5*s - 912. What are the prime factors of u? 2, 151 Let a = -14577 - -21632. What are the prime factors of a? 5, 17, 83 Suppose 58*h + 80*h - 5896244 = 44*h. What are the prime factors of h? 2, 79, 397 Suppose 5*t + v = 21692, -202*t + 199*t + 13004 = -v. List the prime factors of t. 4337 Let d be (-140)/7 + 6/2. Let i(t) = -t**2 - 26*t - 57. List the prime factors of i(d). 2, 3 Let z(b) = -163*b - 1263. What are the prime factors of z(-35)? 2, 2221 Let f(c) = 91*c - 12. Let g be f(4). Suppose t + 4*o - g = -o, -2*t - 3*o + 711 = 0. Suppose x = -a + 65, a + 2*a = 5*x - t. What are the prime factors of x? 3, 23 Let p(w) = -23*w**3 + 8*w**2 + 11*w + 21. What are the prime factors of p(-5)? 3041 Suppose -67 = 5*l + i, 4*l + i = -0*i - 53. Suppose 3*z - 3*c = 795, -5*z + 5*c = 4*c - 1337. What are the prime factors of (-6)/42 - z/l? 19 Let o(m) = -65*m - 59. Let a be o(7). Let h = a - -847. List the prime factors of h. 3, 37 Suppose g - 68560 = -4*v, -6656*v + 205635 = 3*g - 6659*v. What are the prime factors of g? 2, 17137 Let a(y) = -y**3 + 11*y**2 + 16*y - 4. Let f be a(12). Let b = 42 - f. What are the prime factors of b/(-8) + 3096/32? 97 Suppose -10 = 17*o - 12*o. Let a(s) = -42*s + 2. Let n(f) = -2*f. Let p(k) = o*a(k) + 44*n(k). What are the prime factors of p(-2)? 2 Suppose -4*f + 13311 = -4*t - 13321, 33326 = 5*f + 4*t. List the prime factors of f. 2, 3331 Suppose -3*c + 4*z + 6 = -17, c = -2*z + 1. Suppose 3*a + 5*d = -8, -4*d + 2*d = c*a - 12. Suppose a*f - 227 = 177. What are the prime factors of f? 101 Let y(q) = -2*q**2 - 50*q - 171. Let s be y(-21). Let z(u) = -250*u + 32. List the prime factors of z(s). 2, 17, 23 Let z(c) = 35*c**2 - 25. Suppose -52 = 4*l - 76. What are the prime factors of z(l)? 5, 13, 19 Let r(x) = 7*x**2 + 6*x + 7. Let z(q) = 3*q - 19. Let c be z(10). Suppose c = -2*h + 1. List the prime factors of r(h). 2, 19 Let r(x) = -x**3 + 2*x**2 + 9*x + 5. Suppose 6*m - 2*m - 16 = 0. Let v(y) = y**2. Let j(u) = m*v(u) + r(u). What are the prime factors of j(7)? 19 Let l = -168 - -1337. Suppose -12*m + 1519 = -l. What are the prime factors of m? 2, 7 Let w(n) = n**2 + 11*n + 28. Let h be w(-6). List the prime factors of (-6 + 3 - -428) + h. 3, 47 Let b(k) = 167*k**3 + 9*k + 5. What are the prime factors of b(4)? 10729 Let p(r) be the first derivative of -3*r**4/4 + 2*r**3/3 + r**2 + r + 17. Let n be p(-1). List the prime factors of (522/20 - 3/5)*n. 2, 3, 17 Suppose -3*w + b = -1, -3*w + 6*w = -3*b + 21. Suppose -3*h = w*u + 22, 0 = 5*h + 5 + 5. What are the prime factors of (u/(-12))/((-4)/(-132))? 2, 11 Let g be -7 - (6 + -7 + -2). Let m(u) = 42*u**2 - 2*u - 41. List the prime factors of m(g). 3, 71 Let c(b) = 146*b**3 - b**2 + 4*b + 4. Let a be c(-2). List the prime factors of (a/(-20))/((-124)/(-30) + -4). 3, 7 Let q(f) = 40*f - 86. Let h(r) = 42*r - 87. Let v(t) =
{ "pile_set_name": "DM Mathematics" }
eplacement from zzqozootoqod? 1/99 Three letters picked without replacement from {i: 12, c: 3}. Give prob of sequence iii. 44/91 Two letters picked without replacement from {a: 2, k: 1, o: 2, h: 1, n: 1}. What is prob of sequence oa? 2/21 Two letters picked without replacement from {p: 4, y: 4, e: 1, n: 1}. What is prob of sequence ee? 0 Calculate prob of sequence xx when two letters picked without replacement from {i: 2, x: 4}. 2/5 Two letters picked without replacement from {n: 1, w: 1, p: 1, h: 1, i: 1}. What is prob of sequence hp? 1/20 What is prob of sequence fc when two letters picked without replacement from wcwdwtfwwfcc? 1/22 Four letters picked without replacement from {j: 1, p: 3, m: 4}. Give prob of sequence mmjp. 3/140 Four letters picked without replacement from fffkffkffdfffkffdfff. Give prob of sequence dkkf. 1/646 What is prob of sequence whww when four letters picked without replacement from {w: 12, h: 1}? 1/13 Three letters picked without replacement from {a: 2, n: 1, e: 2, k: 8}. Give prob of sequence aan. 1/858 Two letters picked without replacement from {j: 2, e: 1, f: 4, s: 1, t: 1}. Give prob of sequence fe. 1/18 Calculate prob of sequence pzk when three letters picked without replacement from {j: 1, v: 3, p: 3, k: 5, z: 6}. 5/272 Two letters picked without replacement from ccccccccacacacaa. Give prob of sequence aa. 1/12 What is prob of sequence ftw when three letters picked without replacement from {w: 1, f: 6, t: 1, l: 1}? 1/84 What is prob of sequence eee when three letters picked without replacement from {e: 5}? 1 What is prob of sequence cc when two letters picked without replacement from {c: 5, p: 2, s: 8, x: 1, k: 1}? 5/68 What is prob of sequence of when two letters picked without replacement from ivojofr? 1/21 Calculate prob of sequence bfeb when four letters picked without replacement from efeebeeeeeebeofeeefb. 13/6460 Calculate prob of sequence cd when two letters picked without replacement from {j: 2, q: 1, d: 5, o: 1, c: 3}. 5/44 Three letters picked without replacement from ttybbwbywttbb. Give prob of sequence wbw. 5/858 Calculate prob of sequence wz when two letters picked without replacement from mwmyz. 1/20 Four letters picked without replacement from {t: 12, f: 7}. Give prob of sequence ffff. 35/3876 What is prob of sequence cz when two letters picked without replacement from ggyggyyggcgggzygg? 1/272 Calculate prob of sequence jf when two letters picked without replacement from hfyjhjjfjfjhz. 5/52 Four letters picked without replacement from {x: 16, b: 2}. Give prob of sequence bxxb. 1/153 Calculate prob of sequence kg when two letters picked without replacement from {o: 2, g: 1, a: 4, k: 1}. 1/56 Calculate prob of sequence tamr when four letters picked without replacement from lrajlmmtajrmrrm. 4/4095 Three letters picked without replacement from {g: 3, j: 1, t: 2, i: 4, s: 5, f: 5}. What is prob of sequence tfg? 1/228 Calculate prob of sequence eele when four letters picked without replacement from lellellleeee. 2/33 What is prob of sequence gg when two letters picked without replacement from gugpp? 1/10 What is prob of sequence yr when two letters picked without replacement from ryvwwmw? 1/42 What is prob of sequence ovvv when four letters picked without replacement from {v: 3, o: 15}? 1/816 Two letters picked without replacement from {d: 2, p: 1, f: 3, a: 4}. What is prob of sequence pd? 1/45 Three letters picked without replacement from {h: 4, g: 3, d: 1}. Give prob of sequence dhh. 1/28 What is prob of sequence cj when two letters picked without replacement from {g: 1, j: 1, c: 1, d: 5, b: 7}? 1/210 What is prob of sequence hhhx when four letters picked without replacement from xxhxhxhxxhhxxxxx? 11/728 What is prob of sequence gt when two letters picked without replacement from tgjggrgrttrg? 5/44 Four letters picked without replacement from {j: 1, r: 4, l: 3, n: 3}. Give prob of sequence rnlr. 3/220 Two letters picked without replacement from nbbn. What is prob of sequence nn? 1/6 Calculate prob of sequence xfx when three letters picked without replacement from aaaxzffaaafzxhfaxaxh. 2/285 What is prob of sequence wt when two letters picked without replacement from {t: 1, w: 1, g: 1}? 1/6 What is prob of sequence bxxb when four letters picked without replacement from {b: 3, x: 3}? 1/10 Calculate prob of sequence kz when two letters picked without replacement from {v: 3, k: 1, z: 2, b: 1}. 1/21 Two letters picked without replacement from {z: 11, b: 9}. What is prob of sequence zz? 11/38 What is prob of sequence ju when two letters picked without replacement from uukuj? 3/20 What is prob of sequence ttml when four letters picked without replacement from mtttlsltsm? 1/105 Three letters picked without replacement from {w: 4, b: 3}. What is prob of sequence bbw? 4/35 Calculate prob of sequence qs when two letters picked without replacement from sqiisiiiiiqiqssiisq. 10/171 Two letters picked without replacement from bwbbbbwwbwbbbwwbwwww. What is prob of sequence bw? 5/19 Three letters picked without replacement from {j: 1, c: 8, y: 4}. Give prob of sequence yjc. 8/429 Calculate prob of sequence sq when two letters picked without replacement from {i: 5, e: 7, q: 1, s: 2, a: 3}. 1/153 Two letters picked without replacement from pprrrpp. What is prob of sequence rp? 2/7 What is prob of sequence ax when two letters picked without replacement from {a: 3, j: 1, b: 1, c: 1, x: 1}? 1/14 What is prob of sequence xxx when three letters picked without replacement from {r: 6, x: 3, u: 1, v: 2, f: 4}? 1/560 Two letters picked without replacement from {o: 1, u: 1, x: 1}. What is prob of sequence uo? 1/6 Calculate prob of sequence vaa when three letters picked without replacement from {v: 1, a: 2, h: 1, x: 4}. 1/168 Two letters picked without replacement from {b: 3, u: 1, m: 4, l: 4, e: 4}. Give prob of sequence eu. 1/60 What is prob of sequence eeoe when four letters picked without replacement from eieoiiioeieeeoeo? 1/52 Three letters picked without replacement from {a: 6, b: 2, s: 11}. What is prob of sequence sss? 55/323 Calculate prob of sequence xs when two letters picked without replacement from xpkxxscxxskxxxxcsxx. 11/114 Calculate prob of sequence xxf when three letters picked without replacement from nfnfnfxxxfnxnffxxmf. 35/969 Two letters picked without replacement from omjyoozjjzojz. What is prob of sequence zo? 1/13 What is prob of sequence yz when two letters picked without replacement from oybdz? 1/20 Two letters picked without replacement from bfddddttktthkhd. What is prob of sequence tt? 2/35 Three letters picked without replacement from {d: 8, c: 5}. What is prob of sequence ccc? 5/143 Three letters picked without replacement from {n: 7, a: 1, p: 5}. Give prob of sequence ppp. 5/143 What is prob of sequence oy when two letters picked without replacement from {n: 1, o: 1, y: 2, v: 1}? 1/10 Two letters picked without replacement from {j: 7, r: 2, y: 4, o: 1}. Give prob of sequence rr. 1/91 Three letters picked without replacement from lpf. Give prob of sequence lpf. 1/6 Two letters picked without replacement from {w: 3, k: 2}. What is prob of sequence kw? 3/10 What is prob of sequence gff when three letters picked without replacement from mgggmemgmfggfgqmgggf? 1/114 Calculate prob of sequence df when two letters picked without replacement from bbffbdff. 1/14 Calculate prob of sequence uoo when three letters picked without replacement from {o: 13, u: 3}. 39/280 What is prob of sequence pb when two letters picked without replacement from pxrdrrrb? 1/56 Three letters picked without replacement from {p: 1, c: 7, j: 1, d: 5, r: 1}. Give prob of sequence ddj. 2/273 What is prob of sequence bjl when three letters picked without replacement from {z: 4, j: 2, b: 2, e: 5, l: 1}? 1/546 What is prob of sequence ey when two letters picked without replacement from fuheyfp? 1/42 Calculate prob of sequence ueu when three letters picked without replacement from {u: 6, e: 4}. 1/6 What is prob of sequence xmxx when four letters picked without replacement from {x: 10, m: 4}? 120/1001 Calculate prob of sequence vmrv when four letters picked without replacement from {m: 3, v: 5, r: 5}. 5/286 What is prob of sequence ff
{ "pile_set_name": "DM Mathematics" }
wenty-six fifths of a minute in seconds? 312 What is 8570.597 litres in millilitres? 8570597 What is seventy-five quarters of a litre in millilitres? 18750 Convert 747.9892 hours to milliseconds. 2692761120 What is 26.53359 grams in tonnes? 0.00002653359 How many grams are there in fourty-three halves of a kilogram? 21500 Convert 166180.5ms to seconds. 166.1805 How many microseconds are there in 81082.16 hours? 291895776000000 Convert 7400.513 kilograms to micrograms. 7400513000000 What is 26.952153 milliseconds in minutes? 0.00044920255 How many minutes are there in 1671.4284us? 0.00002785714 How many centuries are there in 0.484912 millennia? 4.84912 Convert 0.1308408 millennia to years. 130.8408 What is 1465.70088 hours in weeks? 8.72441 How many millimeters are there in 53/4 of a meter? 13250 What is twenty-five halves of a litre in millilitres? 12500 What is 1/5 of a milligram in micrograms? 200 How many grams are there in 3/8 of a kilogram? 375 Convert 85.01991 litres to millilitres. 85019.91 How many micrograms are there in 1/5 of a milligram? 200 How many months are there in one quarter of a decade? 30 What is fourty-six fifths of a decade in years? 92 How many weeks are there in 237707.4 hours? 1414.925 How many seconds are there in three fifths of a day? 51840 What is 3/25 of a litre in millilitres? 120 Convert 8.288089mm to nanometers. 8288089 What is 0.313691 kilograms in tonnes? 0.000313691 How many meters are there in 1/4 of a kilometer? 250 Convert 95.98428l to millilitres. 95984.28 What is thirteen fifths of a microgram in nanograms? 2600 What is 13576.23 tonnes in nanograms? 13576230000000000000 What is three fifths of a hour in seconds? 2160 What is three fifths of a litre in millilitres? 600 What is 8/3 of a week in minutes? 26880 Convert 87323.23 weeks to days. 611262.61 How many kilometers are there in 242012.1 meters? 242.0121 Convert 345.6149 hours to microseconds. 1244213640000 What is 708.6167km in meters? 708616.7 What is six fifths of a century in years? 120 What is 31/5 of a litre in millilitres? 6200 How many millilitres are there in 11/4 of a litre? 2750 Convert 14290.965 nanoseconds to hours. 0.0000000039697125 What is six fifths of a litre in millilitres? 1200 How many seconds are there in 8/25 of a day? 27648 What is 4084.796 litres in millilitres? 4084796 What is 7/3 of a decade in months? 280 Convert 2398777.2ns to minutes. 0.00003997962 How many nanograms are there in 17683.68 grams? 17683680000000 What is 16.35744 days in seconds? 1413282.816 What is one quarter of a litre in millilitres? 250 What is 11/4 of a litre in millilitres? 2750 How many millimeters are there in 3/25 of a meter? 120 What is eleven tenths of a gram in milligrams? 1100 What is 3/25 of a centimeter in micrometers? 1200 How many grams are there in one twentieth of a tonne? 50000 What is 0.0599395 years in millennia? 0.0000599395 Convert 76.74887 milliseconds to seconds. 0.07674887 What is eighty-one halves of a litre in millilitres? 40500 What is twenty-nine fifths of a kilometer in meters? 5800 What is 6044.716 days in nanoseconds? 522263462400000000 How many grams are there in 4.763089 kilograms? 4763.089 Convert 98392.29 days to seconds. 8501093856 What is five sixths of a decade in months? 100 What is nineteen quarters of a day in hours? 114 How many years are there in 0.9129242 decades? 9.129242 How many grams are there in 466496.8 milligrams? 466.4968 How many kilograms are there in 842637.6 micrograms? 0.0008426376 What is 218159.6 millilitres in litres? 218.1596 How many millimeters are there in twenty-five halves of a centimeter? 125 Convert 74523.94 centimeters to micrometers. 745239400 How many weeks are there in 125294.4315s? 0.20716671875 What is 0.0376595l in millilitres? 37.6595 What is twenty-one halves of a centimeter in millimeters? 105 How many litres are there in 0.4813365ml? 0.0004813365 How many grams are there in 1/5 of a kilogram? 200 How many seconds are there in 3713.064 minutes? 222783.84 What is 4144.534 centuries in decades? 41445.34 What is 4685.824km in centimeters? 468582400 How many seconds are there in 426.05 minutes? 25563 How many millimeters are there in 18/5 of a centimeter? 36 How many milliseconds are there in seventeen halves of a second? 8500 What is one quarter of a hour in minutes? 15 What is 13/4 of a century in years? 325 What is 55.7587989ms in weeks? 0.00000009219378125 What is three tenths of a microgram in nanograms? 300 Convert 82.16011mg to tonnes. 0.00000008216011 What is one sixteenth of a millisecond in nanoseconds? 62500 How many seconds are there in 45/2 of a hour? 81000 What is 0.2920587km in nanometers? 292058700000 What is 3/5 of a microgram in nanograms? 600 How many litres are there in 2.088617ml? 0.002088617 What is twenty-seven fifths of a litre in millilitres? 5400 What is 65.49819 centuries in millennia? 6.549819 What is 9667.7 years in millennia? 9.6677 How many micrometers are there in 0.3076145 centimeters? 3076.145 What is 1626645.6 hours in days? 67776.9 What is 37/5 of a century in months? 8880 Convert 3871.89g to milligrams. 3871890 How many seconds are there in one ninth of a week? 67200 What is sixty-eight thirds of a hour in minutes? 1360 What is 1/6 of a year in months? 2 Convert 37311.12 nanometers to centimeters. 0.003731112 Convert 6.201962 tonnes to micrograms. 6201962000000 What is 297.2006 micrograms in milligrams? 0.2972006 How many years are there in 7/4 of a century? 175 How many decades are there in 27/4 of a millennium? 675 How many seconds are there in 2/45 of a week? 26880 What is 14237.29cm in meters? 142.3729 What is seventeen sixths of a millennium in months? 34000 What is 59.30284ng in micrograms? 0.05930284 What is one quarter of a hour in seconds? 900 How many months are there in 1/20 of a century? 60 Convert 97.64239 grams to nanograms. 97642390000 What is 94.36323 minutes in seconds? 5661.7938 What is 21/2 of a gram in milligrams? 10500 Convert 754908.9 hours to days. 31454.5375 How many micrometers are there in 61/2 of a millimeter? 30500 Convert 1012.41 years to decades. 101.241 Convert 27.19214 millennia to months. 326305.68 What is twenty-one halves of a millennium in centuries? 105 Convert 5009.002 millilitres to litres. 5.009002 Convert 8.31425ml to litres. 0.00831425 What is twenty-one fifths of a hour in minutes? 252 How many meters are there in one quarter of a kilometer? 250 How many millimeters are there in 45/4 of a meter? 11250 What is 54/5 of a millennium in centuries? 108 Convert 3703.881ml to litres. 3.703881 What is 81689.29t in grams? 81689290000 How many millilitres are there in 56496.54l? 56496540 What is 0.9136679l in millilitres? 913.6679 What is 7.572678 litres in millilitres? 7572.678 Convert 21666.56 centuries to years. 2166656 How many centimeters are there in 21/5 of a meter? 420 Convert 0.9702018 tonnes to nanograms. 970201800000000 Convert 635292.2 years to millennia. 635.2922 What is 15970.88 millilitres in litres? 15.97088 How many years are there in 0.8317138 decades? 8.317138 How many millilitres are there in 15/4 of a litre? 3750 How many minutes are there in 3/40 of a day? 108 How many grams are there in 8759.313t? 8759313000 What is 7.48286 years in months? 89.79432 What is 81/2 of a kilogram in grams? 40500 What is 0.7281kg in tonnes? 0.0007281 How many kilometers are there in 1.844362cm? 0.00001844362 What is 1.9778688 months in decades? 0.01648224 How many decades are there in 21/4 of a millennium? 525 How many decades are there in fifteen quarters of a millennium? 375 How many seconds are there in seventeen sixths of a minute? 170 How many seconds are there in 41320.5 days? 3570091200 What is three eighths of a litre in millilitres? 375 Convert 8.261176 hours to minutes. 495.67056 What is thirty-seven halves of a litre in millilitres? 18500 How many micrometers are there in 0.274541 centimeters? 2745.41 Convert 48457.35ml to litres. 48.45735 What is 3/25 of a millennium in months? 1440 How many months are there in fourty-seven quarters of a year? 141 Convert 8011.4589us to days. 0.00000009272521875 What is 22685.75 days in milliseconds? 1960048800000 How many kilograms are there in 3/5 of a tonne
{ "pile_set_name": "DM Mathematics" }
6)*6/(-12)? 2 Calculate (2/(-4))/(54/(-18)). 1/6 What is the value of (-14)/(-3)*90/(-60)? -7 Calculate (-10)/(-3)*(-1)/(25/6). -4/5 What is the value of ((-2)/1)/((-10)/(-5))? -1 Evaluate (15/20)/(48/128). 2 What is (-2)/4*-3*(-10)/15? -1 Calculate ((350/45)/14)/((-15)/(-6)). 2/9 What is the value of (6/32)/(102/136)? 1/4 7/((-7)/(-5))*-1 -5 (-4)/((-1)/1)*18/(-108) -2/3 What is ((-30)/(-18))/5*3? 1 Evaluate (4/6)/((-11)/(-33)*-3). -2/3 What is the value of ((-52)/(-91))/((-4)/14)? -2 Evaluate 70/(-100)*(-8)/14. 2/5 (-1*1)/(31/155) -5 Evaluate 1/((-1)/3)*(-8)/(-12). -2 What is the value of ((-2)/(-9))/(36/135)? 5/6 What is the value of (-2)/8*1080/(-54)? 5 What is the value of ((-10)/(-300))/(-3*2/24)? -2/15 Evaluate 15*((-60)/(-600))/(2/(-6)). -9/2 8/(-6)*(-54)/36 2 Evaluate ((-6)/(-4))/((-39)/(-52)). 2 Calculate 1/(6/36*-3). -2 What is the value of (-10)/(-2)*17/(-17)? -5 What is the value of (4*4/(-72))/((-4)/(-3))? -1/6 (-3)/(-9*(-6)/54) -3 What is -12*2/(-16)*(-6)/9? -1 1*-18*-4*(-27)/1620 -6/5 (-1)/((-2)/(4/(-2))) -1 What is 13/(390/(-20))*(-3)/(-1)? -2 What is (3/(-55))/((-63)/105)? 1/11 Calculate 5/(-5)*((-10)/(-15))/(-2). 1/3 Calculate (-28)/(-35)*(-5)/(-18). 2/9 What is the value of 1*54/63*42/9? 4 Evaluate ((-2)/6)/(80/(-96))*-5. -2 (((-14)/4)/7)/(3/30) -5 Evaluate ((-1)/2)/(1/2). -1 What is the value of ((-15)/2)/((-21)/14)? 5 Calculate (700/1225)/(4/14*-1). -2 What is 72/12*((-12)/(-2))/(-18)? -2 Calculate (-1)/(-13)*169/78. 1/6 What is (72/40)/(6/20)? 6 What is (-11)/6*(-52)/143? 2/3 What is the value of 24/30*(-15)/(-3)? 4 What is ((12/(-36))/(2/12))/1? -2 Evaluate (-11)/176*20*(-42)/(-15). -7/2 Calculate -3*5/180*3*-4. 1 What is ((4/3)/(-2))/(34/102)? -2 (-6*8/64)/((-10)/(-8)) -3/5 What is the value of (2/1)/4*226/(-339)? -1/3 Evaluate ((-189)/(-18))/21*0/2. 0 Evaluate (4/(-12))/(18/108). -2 What is the value of 1*((-10)/(-6))/(-5)? -1/3 Calculate 40/(-16)*(-16)/(-120). -1/3 Calculate 4/((-5)/(15/(-2))*-1). -6 Calculate ((-3)/(-10))/((-140)/175). -3/8 What is the value of ((-252)/216)/(14/(-4))? 1/3 Calculate (-12)/9*(-3)/(-10). -2/5 Calculate (37/(1295/(-28)))/(2/15). -6 What is the value of ((-28)/(-2))/(24/12)? 7 What is the value of ((-2)/4)/(2/12)? -3 Calculate (-5)/(-3)*66/825. 2/15 What is (-3)/2*17/34? -3/4 What is (-36)/(-3)*1/3? 4 (-2)/(-4)*4*6/(-12) -1 ((-24)/30)/(3/5) -4/3 What is the value of 5/((-15)/24)*12/(-16)? 6 Evaluate (19/((-855)/(-6)))/(4/(-6)). -1/5 Calculate ((-17)/(-68))/(3/(-60)). -5 What is the value of -20*(-2)/10*(-95)/76? -5 What is (-27)/(-21)*70/15? 6 Evaluate -4*3*((-9)/(-27))/1. -4 What is the value of (-4)/((-240)/(-18))*10/18? -1/6 What is (552/(-736))/(6/1)? -1/8 352/33*1*15/20 8 (-42)/(-147)*((-21)/4)/3 -1/2 0/((-2)/2)*7/(-7) 0 What is 1/1*(-22)/165? -2/15 What is the value of -7*(-9)/(252/8)? 2 What is the value of (-1)/(-2*((-45)/(-18))/5)? 1 Calculate 53/106*1/((-2)/(-8)). 2 What is the value of (4/(-14))/(165/(-231))? 2/5 1/((-16)/(-8)*(-5)/50) -5 What is the value of ((-15)/(-5))/(1155/140)? 4/11 What is 140/(-120)*(-8)/(-14)*-9? 6 What is (-2)/(-4)*20/(-250)*5? -1/5 What is 2/(-12)*3*-4? 2 Evaluate ((-8)/1)/(-4)*(-27)/486. -1/9 What is the value of (2/(-20))/((-19)/95)*0? 0 Evaluate ((1520/(-112))/(-19))/((-1)/(-7)). 5 Calculate 57/(-76)*(-16)/2. 6 21/(3276/(-24))*(-1)/(-1) -2/13 What is the value of (-2)/(-20)*2*0? 0 Calculate (1*4*-1)/((-460)/(-92)). -4/5 3*(-1)/(-18)*2 1/3 Calculate (-2)/(-2)*(-12)/12. -1 (15/420)/(2/(-16)) -2/7 Evaluate 3*(-4)/((-36)/(-3)). -1 Calculate ((-2*1)/(-2))/(11/66). 6 Calculate (-1)/(-2)*(-25)/5. -5/2 (((-12)/54)/(5/(-15)))/(-2) -1/3 Evaluate ((-6)/7)/((-3)/(-210)*-15). 4 (-200)/(-75)*6/(-8) -2 ((-1377)/(-153))/((-3)/(-2)) 6 Evaluate (-1)/(-7)*385/(-110). -1/2 What is the value of -5*(-36)/(-135)*-3? 4 2/3*(-15)/2 -5 What is the value of (-2)/((10/5)/1)? -1 Calculate ((-3)/6)/((-3)/(-6))*-3. 3 What is (16/(-60)*3)/((-6)/(-45))? -6 Evaluate (-30)/(-35)*(84/16)/3. 3/2 Calculate (-7)/(-1)*136/238. 4 What is the value of 161/184*(-2)/1? -7/4 Evaluate ((-36)/24)/((-2)/(-4))*-1. 3 What is the value of ((-117)/12)/13*16/(-18)? 2/3 Calculate (22/(-22))/(((-4)/(-2))/(-6)). 3 (1/(-1))/(12/36) -3 What is the value of -3*((-12)/21)/((-48)/(-56))? 2 What is -10*(-4)/(-16)*192/(-120)? 4 What is (2/(-6))/(8/16)? -2/3 What is the value of (-1)/((-9)/(36/8))*-4? -2 Calculate (8/(-30))/(16/24). -2/5 (-1)/((-7)/4)*98/126 4/9 Calculate -3*(14/3)/(-14). 1 What is the value of 29/(-58)*-2*1? 1 Evaluate 64/(-16)*-1*1. 4 What is 3/9*-1*(-4)/2? 2/3 (36/(-30))/(9/60*-2) 4 What is the value of (((-6935)/(-114))/(-73))/(2/12)? -5 (-12)/(-12)*0/1 0 Calculate 11/11*(-5)/5. -1 (-72)/(-8)*3/27 1 (84/(-21))/(4/(-5)) 5 What is the value of -2*(-10)/(-16)*(-8)/40? 1/4 Evaluate 7*1/14*-6. -3 What is ((30/9)/2)/(4/12)? 5 (1/(-2))/((-106)/(-212)) -1 2/1*(-4)/(8/(-1)) 1 What is (((-1)/(-1))/1)/(285/(-95))? -1/3 What is ((-32)/(-20))/(((-4)/(-5))/(-4))? -8 Evaluate -3*((-4)/(-6))/((-10)/(-35)). -7 What is ((-4)/((-112)/(-30)))/((-318)/371)? 5/4 Calculate (2/6)/(1*(-8)/48). -2 Evaluate ((-3)/((-42)/(-4)))/(6/(-14)). 2/3 Calculate 10/((-140)/6)*1/3. -1/7 (72/(-64))/(3/4) -3/2 Evaluate (-2)/((1/(-2))/((-2)/20)). -2/5 What is the value of ((-8)/6)/(-2)*123/(-82)? -1 Calculate ((-12)/(-8))/(21/6). 3/7 Calculate (-16)/(-10)*-1*5/2. -4 Evaluate -4*3/6*7/56. -1/4 Evaluate (2/20)/(21/42). 1/5 Calculate (2/(528/18))/((-3)/(-24)). 6/11 ((-5)/(-45))/(4/18)*2 1 (-1855)/(-106)*2/7 5 Evaluate ((-84)/35)/(8/(-20)). 6 Evaluate (2/6*42/196)/1. 1/14 What is the value of (-40)/(-30)*-1*(-1)/(-4)? -1/3 Evaluate (-2)/(-12)*(63/2)/(-7). -3/4 ((-13)/((-104)/6))/(3/8) 2 (-3)/((-78)/(-91))*24/(-14) 6 What is the value of (((-2)/(-12))/((-30)/120))/2? -1/3 What is the value of (-15)/(-1)*-12*(-10)/360? 5 What is the value of (5/3)/(1100/264)*5? 2 What is the value of (-15)/10*4/6? -1 Calculate (-3)/(-12)*76/209*2. 2/11 Evaluate (-47)/(-376)*(-4)/3. -1/6 What is the value of 14/(-35)*5/7? -2/7 Calculate 4/((-112)/(-21))*(-2)/(-6). 1/4 What is (24/(-60))/(2/20)? -4 Evaluate (9/1)/(-18)*14. -7 What is (-6)/(-78)*7/((-21)/(-6))? 2/13 Calculate -2*(-20)/(-25)*(-1)/2. 4/5 What is 2*15/((-90)/(-12))? 4 4*(-3)/(-9)*21/(-7) -4 What is (4/5)/((-70)/(-25))? 2/7 Calculate 1*-4*14/((-168)/(-9)). -3 Evaluate 81/(-72)*2/3. -3/4 What is 1/(4*(-9)/(-12))? 1/3 What is the value of (((-27)/20)/(-9))/((-6)/(-5))? 1/8 (1/(-1))/((-84)/24) 2/7 What is the value of (4/(-5))/((-168)/(-60))? -2/7 Evaluate (-5)/(-25)*0*(-2)/(-2). 0 Calculate ((-6)/(-5))/(42/(-105)). -3 ((-2)/28)/(2*(-1)/(-8)) -2/7 ((-9)/6)/(6/32*4) -2 What is (-270)/(-18)*(-4)/(-12)? 5 Calculate 0*((-16)/20)/4. 0 Evaluate ((-66)/1089)/((-1)/18*2). 6/11 What is (-18)/12*(-3)/((-9)/8)? -4 What is the value of (-28)/(-6)*(84/49)/1? 8 What is the value of (-78)/91*(-126)/(-12)? -9 (2/15)/((-5)/25)*-1 2/3 What is the value of ((-72)/42)/(1*2/(-7))? 6 What is the value of ((-78)/13)/(((-8)/2)/2)? 3 Calculate 1*(125/(-5))/(-5). 5 60/(-150)*(-3)/(12/(-10)) -1 Calculate ((-10)/3)/((-485)/1164). 8 What is the value of ((-14)/6)/(124/(-372))? 7 What is ((-9)/(-12))/((-51)/272)? -4 Calculate ((-2)/(-8))/((-1)/(-30)*3). 5/2 What is ((-1)/3*6/(-8))/1? 1/4 (-12)/126*(-6)/(-36)*14 -2/9 (25/(700/(-24)))/(6/(-3)) 3/7 ((-2)/(-12))/(7/14) 1/3 Calculate (24/(-42))/(22/(-7)). 2/11 42/(-132)*(-160)/(-140) -4/11 Evaluate (-3)/(-5)*(-38)/114. -1/5 Calculate (16/60)/((-8)/12). -2/5 3/21*(-2)/((-8)/(-4)) -1/7 What is (((-12)/(-5))/(-3))/(14/(-5))? 2/7 What is the value of ((-3)/(-21)*2)/((-8)/(-4))? 1/7 ((24/(-4))/6)/(26/4) -2/13 (-1)/(3*(-3)/9) 1 What is the value of (12/180*9)/((-2)/20)? -6 Evaluate (-2)/(8/(-6))*(-155)/(-1395). 1/6 What is the value of 9/(-6)*-1*8/(-3)? -4 What is the value of (15/(-10))/((-21)/70)? 5 Evaluate 1/(27/63)*3. 7 Calculate ((-48)/280)/(2/5). -3/7 Evaluate 6*4*(-5)/(-220). 6/11 Calculate 1/((-10)/2)*1. -1/5 Calculate (6/4)/(27/(-90)). -5 ((-7)/(-9))/(-7)*-2 2/9 Calculate (-4)/(32/20)*16/(-10). 4 What is 1*1/2*2? 1 What is (24/1140)/(3/(-15))? -2/19 Evaluate ((-40)/21)/10*27/(-6). 6/7 Evaluate (9/3)/((-4)/(-4)). 3 What is the value of -28*(-2)/4*(-2)/4? -7 ((-210)/12)/7*(-9)/60 3/8 Calculate 2/(6/45*5). 3 What is (2142/(-56))/(-17)*(-16)/(-6)? 6 (9/(-45))/(((-32)/30)/4) 3
{ "pile_set_name": "DM Mathematics" }
rob of picking 1 i and 3 l. 2/273 What is prob of picking 1 e, 2 i, and 1 z when four letters picked without replacement from {e: 2, z: 10, i: 4}? 6/91 Three letters picked without replacement from {z: 8, e: 5}. Give prob of picking 2 e and 1 z. 40/143 Three letters picked without replacement from {x: 17, o: 3}. Give prob of picking 3 x. 34/57 Calculate prob of picking 2 h and 1 k when three letters picked without replacement from {h: 3, z: 13, k: 2}. 1/136 Four letters picked without replacement from viiggiivviiig. What is prob of picking 3 g and 1 v? 3/715 What is prob of picking 2 c and 1 k when three letters picked without replacement from {c: 2, b: 1, d: 8, l: 1, z: 3, k: 1}? 1/560 Three letters picked without replacement from {u: 3, k: 4, s: 5}. What is prob of picking 2 s and 1 u? 3/22 Two letters picked without replacement from {r: 3, u: 3}. Give prob of picking 2 u. 1/5 Two letters picked without replacement from iczzczzzczzzzczzzzic. What is prob of picking 1 z and 1 c? 13/38 Four letters picked without replacement from {f: 7, v: 2, k: 4}. What is prob of picking 2 f and 2 k? 126/715 Four letters picked without replacement from yyyyyyy. What is prob of picking 4 y? 1 Two letters picked without replacement from {i: 1, m: 7, y: 3, h: 4, u: 2}. Give prob of picking 2 y. 3/136 Calculate prob of picking 1 m and 3 n when four letters picked without replacement from nnnmmmmnnn. 8/21 Three letters picked without replacement from sysajsxjpsjss. Give prob of picking 1 x, 1 s, and 1 a. 3/143 What is prob of picking 2 v and 2 a when four letters picked without replacement from avavaavvavaa? 14/33 What is prob of picking 1 e and 1 d when two letters picked without replacement from dlevl? 1/10 What is prob of picking 1 w, 1 p, and 1 v when three letters picked without replacement from zpxxxwjpvjzw? 1/55 Three letters picked without replacement from {x: 2, y: 1, n: 4, b: 1, v: 2}. What is prob of picking 3 n? 1/30 Two letters picked without replacement from {f: 12, o: 1, k: 2, u: 3, n: 1}. What is prob of picking 1 n and 1 o? 1/171 What is prob of picking 2 e and 1 k when three letters picked without replacement from {j: 1, k: 1, a: 5, t: 11, e: 2}? 1/1140 Two letters picked without replacement from lllll. Give prob of picking 2 l. 1 Three letters picked without replacement from nirxxixllxxsl. Give prob of picking 1 r, 1 l, and 1 x. 15/286 Calculate prob of picking 1 u and 1 j when two letters picked without replacement from wwjwwwjujjw. 4/55 Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {q: 2, d: 4, n: 2, u: 2}. 8/45 What is prob of picking 3 x when three letters picked without replacement from {x: 3, a: 4}? 1/35 What is prob of picking 2 f and 1 t when three letters picked without replacement from {t: 4, f: 2}? 1/5 Two letters picked without replacement from vwwcwwwjwwwwwv. What is prob of picking 1 w and 1 v? 20/91 Calculate prob of picking 1 p and 3 a when four letters picked without replacement from uuaupdpaajdg. 2/495 Calculate prob of picking 1 c, 1 d, and 1 n when three letters picked without replacement from cccyccdyynv. 1/33 Calculate prob of picking 3 t when three letters picked without replacement from {m: 2, t: 5}. 2/7 Two letters picked without replacement from {c: 1, k: 7, x: 1}. What is prob of picking 1 x and 1 c? 1/36 Two letters picked without replacement from {s: 3}. What is prob of picking 2 s? 1 Four letters picked without replacement from {k: 3, q: 11}. Give prob of picking 1 k and 3 q. 45/91 Calculate prob of picking 1 d, 1 j, and 2 u when four letters picked without replacement from {d: 1, j: 5, r: 1, u: 2}. 5/126 Calculate prob of picking 4 v when four letters picked without replacement from {w: 1, g: 4, b: 4, m: 4, u: 2, v: 4}. 1/3876 Calculate prob of picking 2 t and 2 e when four letters picked without replacement from {e: 9, t: 3}. 12/55 What is prob of picking 2 i when two letters picked without replacement from {h: 4, v: 2, i: 2, o: 4, c: 1, w: 2}? 1/105 Two letters picked without replacement from {b: 4, w: 2, r: 2, p: 2, x: 4}. Give prob of picking 2 w. 1/91 What is prob of picking 1 h, 1 o, and 1 c when three letters picked without replacement from chhtoohdhh? 1/12 What is prob of picking 2 k when two letters picked without replacement from kkdbddede? 1/36 Two letters picked without replacement from kkehano. What is prob of picking 1 k and 1 e? 2/21 Two letters picked without replacement from iieeeqeiiee. Give prob of picking 1 e and 1 q. 6/55 What is prob of picking 2 w when two letters picked without replacement from bbwwaawwwb? 2/9 Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {c: 4, i: 3, v: 6, x: 6}. 8/57 Three letters picked without replacement from {e: 3, l: 1}. Give prob of picking 3 e. 1/4 Calculate prob of picking 1 c and 1 b when two letters picked without replacement from ococbclsobjj. 1/11 Calculate prob of picking 1 h and 3 i when four letters picked without replacement from {i: 3, m: 2, d: 5, h: 1, c: 5}. 1/1820 Three letters picked without replacement from {w: 5, q: 5}. Give prob of picking 3 q. 1/12 Two letters picked without replacement from nnfhhhnfjjnp. Give prob of picking 2 f. 1/66 Three letters picked without replacement from {i: 16, m: 1, r: 1}. What is prob of picking 3 i? 35/51 Two letters picked without replacement from rwrjwknrrffrjn. Give prob of picking 2 w. 1/91 Two letters picked without replacement from {q: 1, y: 6, c: 3, s: 7}. Give prob of picking 1 c and 1 s. 21/136 Four letters picked without replacement from qiqviqwbvq. Give prob of picking 3 q and 1 i. 4/105 Calculate prob of picking 1 d and 2 r when three letters picked without replacement from {r: 3, d: 2}. 3/5 What is prob of picking 1 p and 3 k when four letters picked without replacement from qpkqkkqkqk? 1/21 Two letters picked without replacement from hpcgtpbbpcppppbchp. Give prob of picking 1 p and 1 b. 8/51 Four letters picked without replacement from tttqqetthtttqhotoot. Give prob of picking 3 t and 1 q. 30/323 What is prob of picking 2 p and 2 b when four letters picked without replacement from {p: 17, b: 2}? 2/57 Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {q: 2, m: 2, u: 1, s: 1}. 1/15 What is prob of picking 4 o when four letters picked without replacement from {v: 2, o: 10}? 14/33 Four letters picked without replacement from {r: 5, f: 6, x: 1, v: 2, k: 1}. What is prob of picking 1 v, 2 r, and 1 f? 8/91 What is prob of picking 1 f, 1 a, and 2 r when four letters picked without replacement from aaffbrhr? 2/35 Four letters picked without replacement from xrgrxdrxrrgggrggrqg. What is prob of picking 3 g and 1 x? 35/1292 Three letters picked without replacement from ffnnnfnn. Give prob of picking 3 f. 1/56 Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {a: 8, w: 2}. 16/45 Two letters picked without replacement from ggqggqgg. Give prob of picking 1 q and 1 g. 3/7 Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, x: 1}. 1/3 What is prob of picking 1 p and 1 n when two letters picked without replacement from {n: 5, p: 11}? 11/24 Four letters picked without replacement from agpjpoj. What is prob of picking 1 o, 1 g, 1 a, and 1 p? 2/35 Calculate prob of picking 3 l and 1 i when four letters picked without replacement from lzcllhlzil. 1/21 What is prob of picking 2 q and 2 i when four letters picked without replacement from {n: 1, q: 4, m: 1, i: 4}? 6/35 What is prob of picking 1 e, 2 i, and 1 j when four letters picked without replacement from eeeeijiieieei? 14/143 What is prob of picking 1 m and 1 q when two letters picked without replacement from {h: 1, o: 1, d: 1, m: 1, b: 1, q: 2}? 2/21 Calculate prob of picking 1 x and 1 t when two letters picked without replacement from xaxaaaatntxxaxaxna. 4/51 Two letters picked without replacement from nmmnnmmmnmqmmq. Give prob of picking 1 n and 1 q. 8/91 Two letters picked without replacement from {l: 4, y: 2, f: 3, h: 1}. Give prob of picking 1 y and 1 h. 2/45 What is prob of picking 4 r when four letters picked without replacement from rerreeeseorrreoeerre? 14/969 Three lett
{ "pile_set_name": "DM Mathematics" }
der when 951 is divided by 137? 129 Calculate the remainder when 294740 is divided by 14. 12 Calculate the remainder when 44352 is divided by 3411. 9 Calculate the remainder when 17825 is divided by 133. 3 What is the remainder when 4383 is divided by 169? 158 What is the remainder when 18009 is divided by 1280? 89 Calculate the remainder when 3878 is divided by 205. 188 What is the remainder when 592 is divided by 274? 44 Calculate the remainder when 76797 is divided by 711. 9 Calculate the remainder when 8252 is divided by 4123. 6 What is the remainder when 7254 is divided by 1767? 186 Calculate the remainder when 642 is divided by 40. 2 Calculate the remainder when 15137 is divided by 15012. 125 What is the remainder when 26298 is divided by 547? 42 Calculate the remainder when 76944 is divided by 25639. 27 What is the remainder when 20369 is divided by 412? 181 What is the remainder when 27494 is divided by 1963? 12 What is the remainder when 1625859 is divided by 541948? 15 What is the remainder when 1857 is divided by 459? 21 Calculate the remainder when 383327 is divided by 726. 725 What is the remainder when 502863 is divided by 154? 53 Calculate the remainder when 88818 is divided by 12687. 9 What is the remainder when 2582778 is divided by 1451? 1449 Calculate the remainder when 17218 is divided by 1075. 18 What is the remainder when 985 is divided by 421? 143 Calculate the remainder when 1191 is divided by 594. 3 Calculate the remainder when 110820 is divided by 619. 19 What is the remainder when 11073 is divided by 5? 3 What is the remainder when 1131 is divided by 18? 15 What is the remainder when 24462 is divided by 4885? 37 What is the remainder when 1961 is divided by 17? 6 Calculate the remainder when 656 is divided by 83. 75 Calculate the remainder when 92168 is divided by 86. 62 What is the remainder when 34648 is divided by 990? 988 What is the remainder when 1228 is divided by 297? 40 Calculate the remainder when 5484 is divided by 5320. 164 Calculate the remainder when 5926 is divided by 26. 24 What is the remainder when 1588287 is divided by 23? 22 Calculate the remainder when 8502 is divided by 468. 78 What is the remainder when 4790 is divided by 268? 234 Calculate the remainder when 3351 is divided by 219. 66 What is the remainder when 182980 is divided by 245? 210 What is the remainder when 14464 is divided by 257? 72 Calculate the remainder when 219603 is divided by 109795. 13 What is the remainder when 6660 is divided by 105? 45 What is the remainder when 878 is divided by 270? 68 Calculate the remainder when 1514 is divided by 305. 294 Calculate the remainder when 17656 is divided by 84. 16 What is the remainder when 33631 is divided by 1678? 71 Calculate the remainder when 175885 is divided by 82. 77 What is the remainder when 4379 is divided by 1439? 62 Calculate the remainder when 2198 is divided by 49. 42 What is the remainder when 99599 is divided by 135? 104 Calculate the remainder when 11763 is divided by 22. 15 Calculate the remainder when 9159 is divided by 570. 39 What is the remainder when 165058 is divided by 262? 260 Calculate the remainder when 829 is divided by 115. 24 Calculate the remainder when 607328 is divided by 21690. 8 Calculate the remainder when 286840 is divided by 71705. 20 What is the remainder when 12697 is divided by 720? 457 Calculate the remainder when 2496 is divided by 997. 502 Calculate the remainder when 4973 is divided by 4650. 323 Calculate the remainder when 6427 is divided by 644. 631 Calculate the remainder when 1876 is divided by 922. 32 Calculate the remainder when 18765 is divided by 12. 9 What is the remainder when 299627 is divided by 161? 6 What is the remainder when 102 is divided by 3? 0 Calculate the remainder when 8738 is divided by 487. 459 Calculate the remainder when 3587 is divided by 213. 179 Calculate the remainder when 17274 is divided by 822. 12 What is the remainder when 691 is divided by 221? 28 What is the remainder when 12883 is divided by 675? 58 What is the remainder when 25843 is divided by 137? 87 Calculate the remainder when 690 is divided by 668. 22 What is the remainder when 439292 is divided by 32? 28 Calculate the remainder when 2953 is divided by 142. 113 Calculate the remainder when 172691 is divided by 1028. 1015 Calculate the remainder when 1628 is divided by 1587. 41 What is the remainder when 232251 is divided by 1858? 1 Calculate the remainder when 69786 is divided by 13956. 6 Calculate the remainder when 49636 is divided by 9. 1 Calculate the remainder when 16779 is divided by 8385. 9 What is the remainder when 436670 is divided by 66? 14 What is the remainder when 18933 is divided by 6310? 3 What is the remainder when 5953 is divided by 124? 1 Calculate the remainder when 5879 is divided by 312. 263 Calculate the remainder when 40851 is divided by 40844. 7 What is the remainder when 505 is divided by 434? 71 What is the remainder when 13613 is divided by 126? 5 What is the remainder when 33809 is divided by 805? 804 What is the remainder when 2044 is divided by 129? 109 What is the remainder when 687 is divided by 300? 87 What is the remainder when 15226 is divided by 2782? 1316 What is the remainder when 28498 is divided by 1238? 24 Calculate the remainder when 55074 is divided by 298. 242 Calculate the remainder when 91946 is divided by 50. 46 What is the remainder when 13373 is divided by 25? 23 Calculate the remainder when 7874 is divided by 7873. 1 Calculate the remainder when 17552 is divided by 66. 62 Calculate the remainder when 3425 is divided by 267. 221 What is the remainder when 12656 is divided by 786? 80 Calculate the remainder when 2878 is divided by 1425. 28 What is the remainder when 13324 is divided by 3248? 332 Calculate the remainder when 14648 is divided by 377. 322 What is the remainder when 2604 is divided by 402? 192 Calculate the remainder when 957 is divided by 466. 25 What is the remainder when 419 is divided by 376? 43 What is the remainder when 20486 is divided by 1375? 1236 What is the remainder when 594823 is divided by 7? 5 Calculate the remainder when 4846 is divided by 1179. 130 What is the remainder when 2099 is divided by 445? 319 What is the remainder when 18916 is divided by 4729? 0 Calculate the remainder when 12291 is divided by 19. 17 Calculate the remainder when 15076 is divided by 111. 91 What is the remainder when 28821 is divided by 69? 48 Calculate the remainder when 148968 is divided by 49655. 3 What is the remainder when 5983 is divided by 2873? 237 What is the remainder when 30278 is divided by 11? 6 What is the remainder when 10787 is divided by 3333? 788 What is the remainder when 13177 is divided by 58? 11 What is the remainder when 179 is divided by 69? 41 Calculate the remainder when 1580 is divided by 1562. 18 Calculate the remainder when 40335 is divided by 10080. 15 What is the remainder when 4105 is divided by 243? 217 What is the remainder when 9216 is divided by 835? 31 What is the remainder when 3169 is divided by 1406? 357 Calculate the remainder when 3711 is divided by 3699. 12 Calculate the remainder when 6708 is divided by 144. 84 What is the remainder when 375600 is divided by 187789? 22 What is the remainder when 234343 is divided by 423? 1 Calculate the remainder when 589959 is divided by 56. 55 What is the remainder when 81248 is divided by 4502? 212 Calculate the remainder when 3919 is divided by 894. 343 Calculate the remainder when 158255 is divided by 16. 15 Calculate the remainder when 37945 is divided by 212. 209 What is the remainder when 948 is divided by 21? 3 Calculate the remainder when 498670 is divided by 368. 30 Calculate the remainder when 11741 is divided by 56. 37 What is the remainder when 3321 is divided by 3320? 1 What is the remainder when 4587596 is divided by 1173? 1166 Calculate the remainder when 60692 is divided by 3. 2 What is the remainder when 2579 is divided by 1708? 871 Calculate the remainder when 3885 is divided by 170. 145 What is the remainder when 2270 is divided by 2113? 157 Calculate the remainder when 190374 is divided by 259. 9 What is the remainder when 65838 is divided by 968? 14 What is the remainder when 4202 is divide
{ "pile_set_name": "DM Mathematics" }
76? 44352 Calculate the common denominator of 53/559629 and 103/3384. 4477032 What is the smallest common multiple of 10742 and 8? 42968 What is the common denominator of 51/716 and 109/5012? 5012 What is the least common multiple of 4842 and 41886? 11267334 Calculate the smallest common multiple of 423927 and 141309. 423927 Find the common denominator of 47/21 and -20/58119. 406833 Find the common denominator of 29/118188 and -119/20. 590940 What is the common denominator of -71/3395 and 87/364? 176540 What is the smallest common multiple of 297 and 462? 4158 What is the lowest common multiple of 284976 and 427464? 854928 What is the lowest common multiple of 1170995 and 669140? 4683980 Calculate the lowest common multiple of 765 and 45. 765 What is the least common multiple of 42984 and 26666? 2879928 Calculate the common denominator of 55/3182 and -3/6512. 280016 What is the smallest common multiple of 295 and 59? 295 What is the smallest common multiple of 12 and 77016? 77016 Calculate the lowest common multiple of 490 and 72877. 5101390 Calculate the common denominator of 137/63684 and -44/26535. 318420 Calculate the lowest common multiple of 814500 and 495. 8959500 What is the common denominator of -61/100608 and 57/16768? 100608 Calculate the least common multiple of 1092 and 330954. 4633356 What is the common denominator of -2/10803 and 10/1729? 1436799 Calculate the common denominator of -11/378612 and 61/410163. 4921956 Find the common denominator of -53/8 and 53/415686. 1662744 Calculate the smallest common multiple of 4 and 106600. 106600 What is the common denominator of -47/2156 and -89/30723? 122892 What is the least common multiple of 152 and 24660? 937080 Calculate the common denominator of 155/14274 and 74/64233. 128466 What is the least common multiple of 20932 and 246? 2574636 Calculate the lowest common multiple of 46360 and 5795. 46360 Calculate the common denominator of -28/3795 and 26/575. 18975 Calculate the least common multiple of 4641 and 7140. 92820 Find the common denominator of 133/193380 and 11/5860. 193380 Find the common denominator of -109/85970 and -143/18. 773730 What is the smallest common multiple of 30960 and 645? 30960 Calculate the common denominator of 5/197558 and -13/8. 790232 What is the common denominator of 91/102014 and 55/2? 102014 What is the common denominator of 31/60291 and 61/812? 241164 Calculate the common denominator of -149/90 and 49/11082. 166230 What is the common denominator of -113/8388 and -131/15378? 92268 Find the common denominator of 95/112 and -73/542136. 1084272 Calculate the least common multiple of 1974 and 40467. 80934 What is the least common multiple of 152 and 284? 10792 What is the least common multiple of 97004 and 140? 3395140 What is the smallest common multiple of 4842 and 1332? 358308 What is the common denominator of -145/5184 and -169/5520? 596160 What is the common denominator of 137/36 and -47/635968? 5723712 Calculate the least common multiple of 68 and 11148. 189516 What is the common denominator of 163/1324932 and -93/441644? 1324932 Calculate the common denominator of 17/4205 and 20/261. 37845 What is the common denominator of -89/3096 and 145/6192? 6192 What is the common denominator of 29/627936 and 89/744? 627936 Calculate the common denominator of 95/23588 and 26/7. 165116 Find the common denominator of 44/7 and 55/3611882. 25283174 Calculate the least common multiple of 2502 and 37089. 10310742 Calculate the common denominator of -181/570 and 94/552045. 1104090 Find the common denominator of -73/4272 and 119/96. 8544 What is the common denominator of 24/1339 and -38/103? 1339 Calculate the common denominator of 83/30 and 13/1407. 14070 What is the least common multiple of 966 and 4025? 24150 Calculate the common denominator of 61/72496 and 39/788. 72496 Calculate the least common multiple of 18202 and 11496. 218424 Calculate the common denominator of 31/6452 and -1/24. 38712 Calculate the lowest common multiple of 221740 and 1552180. 1552180 Calculate the common denominator of 39/3620 and -19/140. 25340 What is the lowest common multiple of 29945 and 10812? 6108780 What is the common denominator of 55/62 and 43/5580? 5580 What is the common denominator of 9/52 and -83/3506? 91156 Find the common denominator of 95/54 and 139/1716. 15444 What is the common denominator of -16/19 and -119/1482? 1482 Calculate the least common multiple of 77 and 14133. 155463 Find the common denominator of 6/86075 and 52/51645. 258225 Calculate the common denominator of -41/44352 and -97/645568. 5810112 Calculate the lowest common multiple of 296518 and 440770. 16308490 Calculate the lowest common multiple of 380 and 16454. 164540 Calculate the common denominator of 71/7245 and -61/6300. 144900 Calculate the smallest common multiple of 23946 and 7982. 23946 What is the least common multiple of 1107 and 3321? 3321 Calculate the common denominator of 29/32 and 37/410784. 410784 Find the common denominator of 91/2206 and 33/34. 37502 Find the common denominator of -79/2674 and 15/2842. 542822 What is the smallest common multiple of 31920 and 70224? 351120 Find the common denominator of -21/1492 and 121/720. 268560 What is the least common multiple of 56910 and 14? 56910 Calculate the smallest common multiple of 162 and 41283. 247698 Calculate the smallest common multiple of 1776 and 222. 1776 Find the common denominator of 23/6 and 157/2430. 2430 What is the lowest common multiple of 420 and 1796? 188580 Calculate the common denominator of -131/1590 and 139/1980. 104940 What is the least common multiple of 1293 and 862? 2586 Calculate the common denominator of -41/14586 and -169/20196. 262548 Calculate the common denominator of -40/7 and 57/79832. 558824 What is the smallest common multiple of 1628 and 7444? 3029708 Calculate the lowest common multiple of 893270 and 280742. 9825970 What is the smallest common multiple of 135 and 122265? 366795 Calculate the lowest common multiple of 152 and 47738. 3628088 Calculate the common denominator of 43/2640 and 127/23320. 139920 What is the lowest common multiple of 404470 and 364023? 3640230 What is the common denominator of -46/209755 and 57/32270? 419510 Calculate the smallest common multiple of 28785 and 18. 172710 Calculate the smallest common multiple of 2697 and 1914. 59334 Calculate the least common multiple of 5720 and 6864. 34320 What is the least common multiple of 10 and 17790? 17790 Calculate the lowest common multiple of 299288 and 8592. 1795728 Calculate the common denominator of -79/44 and -33/43424. 477664 Calculate the common denominator of 151/16092 and -1/945. 563220 What is the common denominator of -149/1390090 and 33/50320? 11120720 What is the lowest common multiple of 80 and 560? 560 Calculate the least common multiple of 3750 and 4614. 2883750 Calculate the least common multiple of 178976 and 23688. 1610784 Calculate the common denominator of -129/1638460 and 1/82960. 6553840 Calculate the least common multiple of 1350 and 30600. 91800 Calculate the smallest common multiple of 11350 and 3178. 79450 Calculate the lowest common multiple of 130830 and 147. 130830 Calculate the smallest common multiple of 2761 and 19327. 19327 What is the least common multiple of 15488 and 40656? 325248 Find the common denominator of 47/1763 and -52/248583. 248583 Find the common denominator of -95/2614226 and 103/14. 18299582 What is the common denominator of -47/14418 and 35/3204? 28836 What is the lowest common multiple of 54162 and 510? 270810 What is the smallest common multiple of 171 and 2952? 56088 Calculate the lowest common multiple of 70 and 21455. 42910 Calculate the common denominator of -71/196 and 41/28. 196 Calculate the common denominator of -33/1288 and -107/322. 1288 Calculate the lowest common multiple of 4870512 and 8. 4870512 Calculate the common denominator of 2/291 and 32/42001. 126003 What is the lowest common multiple of 416 and 28626? 458016 What is the least common multiple of 50 and 1363? 68150 Find the common denominator of -64/163353 and 70/28827. 490059 What is the least common multiple of 2712 and 9? 8136 Find the common denominator of 73/1450 and -43/337560. 1687800 Calculate the common den
{ "pile_set_name": "DM Mathematics" }
**4 + 2*z**2 - 3*z + 0 + 0*z**v + 1. (z - 1)**4*(z + 1) Let n be 6/(-32)*(-160)/120. Factor -1/4*a**3 - n*a**2 + 1/4*a**4 + 0 + 1/4*a. a*(a - 1)**2*(a + 1)/4 Factor -12*c - 10 + 9 + 5 - 16*c**2. -4*(c + 1)*(4*c - 1) Let r(j) = 2*j - 2. Let p be r(2). Suppose -4*i - 9 = -7*i. Let i + p*v**3 - 3 = 0. Calculate v. 0 Let q(z) be the first derivative of z**4/7 + 4*z**3/21 - 44. Factor q(w). 4*w**2*(w + 1)/7 Determine w, given that 5*w - 2*w**2 - w + 1 + w**2 + 4*w**2 = 0. -1, -1/3 Let h(g) = 4*g**4 + 6*g**3 + 6*g**2 + 2*g - 2. Let w(y) = -20*y**4 - 29*y**3 - 31*y**2 - 11*y + 11. Let p(u) = -11*h(u) - 2*w(u). Determine l so that p(l) = 0. -1, 0 Let o(k) = -4*k**3 + 6*k**2 + 4*k - 1. Let s(x) = x**3 - x**2 - x. Let c(q) = o(q) + 5*s(q). Find w, given that c(w) = 0. -1, 1 Factor 15*w**2 - 10 + 50*w - 25 + 0 - 5. 5*(w + 4)*(3*w - 2) Suppose -5*m - 141 = -3*p, -p = 3*p + 12. Let y be (3/(-99))/(5/m). Suppose 2/11*j**2 + y - 4/11*j = 0. Calculate j. 1 Let u(p) be the second derivative of p**7/105 + p**6/30 - p**5/10 - p**4/3 + 4*p**3/3 - 2*p**2 + 2*p. Let r(t) be the first derivative of u(t). Factor r(x). 2*(x - 1)**2*(x + 2)**2 Let t(d) = -d**3 + 10*d**2 - 7*d - 12. Let j be t(9). Factor 5*i**2 - j - 5 - 3*i + 5 + i**2 + 3*i**3. 3*(i - 1)*(i + 1)*(i + 2) Let l(d) be the first derivative of -2/15*d**3 + 7 + 4/5*d + 1/5*d**2. Solve l(i) = 0 for i. -1, 2 Let u(b) be the first derivative of b**8/168 - b**7/35 + b**6/20 - b**5/30 - b**2/2 - 2. Let q(n) be the second derivative of u(n). Let q(j) = 0. What is j? 0, 1 Let y be 3/(-7) - (-13)/14. Suppose y*r - 1/3*r**3 - 1/3*r**2 + 1/2*r**4 - 1/6*r**5 - 1/6 = 0. What is r? -1, 1 Let g be (12/(-60))/(1/(-10)). Let z(s) be the first derivative of -1 - 4/3*s**3 - 1/2*s**4 + 0*s - s**g. Find t such that z(t) = 0. -1, 0 Let r = 7 - 7. Let u be -2 + 6 + (0 - r). Factor 0 + 0*l - 4/7*l**3 + 0*l**2 - 22/7*l**4 - u*l**5. -2*l**3*(2*l + 1)*(7*l + 2)/7 Let y(i) = -i**3 - 4*i**2 + 4*i - 3. Let t be y(-5). Factor 0*g**3 - 5*g**2 - g**3 + g - 5*g + g**t. -g*(g + 2)**2 Let y(w) = 2*w**5 + 2*w**4 + w**3 + w**2 - 8*w + 2. Let j(l) = -3*l**5 - 3*l**4 + 9*l - 3. Let u(k) = -5*j(k) - 6*y(k). Find f such that u(f) = 0. -1, 1 Let y(c) be the first derivative of 4/9*c + 1/6*c**4 + 1/3*c**2 + 4 - 16/27*c**3. Factor y(u). 2*(u - 2)*(u - 1)*(3*u + 1)/9 Suppose 4*o - 3*j = 13, 4*j - 24 = -o - 4*o. Let p be o/18 + (-4)/18. Solve 0*x + 2/5*x**3 + p - 2/5*x**2 = 0 for x. 0, 1 Let k(u) = u**3 - 7*u**2 - 8. Let y be k(7). Let j be (y/(-3))/((-6)/(-9)). Factor -4 + 3*n**2 + j*n + 0*n**2 - 4*n**2. -(n - 2)**2 Let p(a) be the third derivative of 1/90*a**7 - 2/45*a**6 + 0 + 0*a + 11/180*a**5 + 3*a**2 - 1/36*a**4 + 0*a**3. Determine b so that p(b) = 0. 0, 2/7, 1 Let l(v) = v**3 - 8*v**2 + v - 6. Let w be l(8). Let j(p) be the first derivative of -1/18*p**4 + 0*p + 0*p**w + 2 - 2/27*p**3. Factor j(h). -2*h**2*(h + 1)/9 Let o be ((-9)/3)/(6/(-10)). Factor -13*f**2 - 12*f**3 - 2*f**5 + 12*f**4 + 17*f**2 + 0*f**5 - 2*f**o. -4*f**2*(f - 1)**3 Let m be (-6 - 0)*(-2)/4. Let n(v) = v**2 - 12*v - 15. Let z(h) = -2*h**2 + 12*h + 14. Let u(j) = m*z(j) + 4*n(j). What is x in u(x) = 0? -3 Solve 18 + 28*n**3 + 14*n**2 - 57*n + 11*n**3 + 5*n**5 - 32*n**4 + 13*n**3 = 0 for n. -1, 2/5, 1, 3 Let f(p) be the first derivative of 8*p**5/35 - 9*p**4/14 + 4*p**3/21 + 8. Factor f(r). 2*r**2*(r - 2)*(4*r - 1)/7 Let j = 0 + 0. Suppose j*g - 12 = -4*g. Factor -3*x**g + 0*x**3 + x + x**5 + x**3. x*(x - 1)**2*(x + 1)**2 Suppose 3*m + 0*m = 3*k + 18, 6 = -5*m - 4*k. Suppose 8 + m = 5*o. Factor -2/3*v - 1/3*v**o + v**3 + 0. v*(v - 1)*(3*v + 2)/3 Let y be (-70)/(-25) - (-1)/5. Determine q so that -4*q**3 - 5*q**4 - 3*q**2 + q**2 + y*q**4 = 0. -1, 0 Let b(g) be the third derivative of 0*g**3 + 0*g + 0*g**5 - 1/1680*g**8 + 1/600*g**6 + 0 + 5*g**2 + 0*g**7 + 0*g**4. Factor b(i). -i**3*(i - 1)*(i + 1)/5 Let t = -11 + 14. Let l(f) be the second derivative of 1/24*f**t + 0*f**2 + 0 - 1/48*f**4 - f. Find k, given that l(k) = 0. 0, 1 Let h = -2 + 0. Let m be 48/21 + h/7. Suppose 4*u - u + 5*u - 2*u**m - 8 = 0. Calculate u. 2 Let x(h) = 3*h**5 + h**4 + 3*h**3 + 5*h**2 - 6*h. Let n(m) be the second derivative of m**7/42 + m**4/12 - m**3/6 + 3*m. Let o(t) = 6*n(t) - x(t). Factor o(v). v**2*(v - 1)*(v + 1)*(3*v - 1) Let n(s) be the first derivative of -s**9/1512 - s**8/840 + s**7/420 + s**6/180 - 2*s**3/3 - 5. Let l(p) be the third derivative of n(p). What is u in l(u) = 0? -1, 0, 1 Suppose -5*z - o + 17 = 0, 5*z + 10 = 7*z + 2*o. Find g, given that 0 + 1/3*g + 0*g**2 - 1/3*g**z = 0. -1, 0, 1 Let v be (5 - 22/4)*0. Factor 2/9*l**4 + 0*l + 0 + v*l**3 - 2/9*l**2. 2*l**2*(l - 1)*(l + 1)/9 Solve 2*d**3 + 3*d - 4*d**4 + 19*d**2 - d**5 - 17*d**2 - 4*d**3 + 1 + d**4 = 0 for d. -1, 1 Factor 9/4*j**3 - 9/4 - 15/4*j**2 - 33/4*j. 3*(j - 3)*(j + 1)*(3*j + 1)/4 Let f(k) be the third derivative of k**8/112 - 3*k**7/70 + k**6/20 + k**5/10 - 3*k**4/8 + k**3/2 + 4*k**2. Factor f(p). 3*(p - 1)**4*(p + 1) Let u(l) be the first derivative of -l**4/14 - 2*l**3/21 + l**2/7 + 2*l/7 + 2. Factor u(s). -2*(s - 1)*(s + 1)**2/7 Let b(r) be the first derivative of r**5/40 + r**4/6 + 5*r**3/12 + r**2/2 + 7*r - 4. Let p(z) be the first derivative of b(z). Factor p(j). (j + 1)**2*(j + 2)/2 Let i(k) be the first derivative of 2 + 1/2*k**2 - 1/5*k**5 - 1/4*k**4 + k**3 - 2*k. Factor i(w). -(w - 1)**2*(w + 1)*(w + 2) Let n(j) = -j + 1. Let l be n(0). Suppose 0 = 3*q - l - 11. Factor -2/3*s**2 - 2/3*s**3 + 0 + 2/3*s**q + 2/3*s. 2*s*(s - 1)**2*(s + 1)/3 Let z be (-4)/22 - (-2)/11. Let a(d) be the third derivative of z*d + 0 - 4/105*d**5 + 1/42*d**4 + 1/21*d**3 + 2*d**2. Factor a(s). -2*(2*s - 1)*(4*s + 1)/7 Let q = -67/3 + 23. Determine k so that -8/9*k - q - 2/9*k**2 = 0. -3, -1 Let p be (16/(-3) - -4)/(-4). Let g(f) be the second derivative of -1/2*f**4 - f + 0 - p*f**3 - 1/5*f**5 + 0*f**2. Factor g(d). -2*d*(d + 1)*(2*d + 1) Let z(l) be the second derivative of 1/210*l**7 + 0*l**3 + l**2 - 1/60*l**5 + 0*l**4 + 0 + 0*l**6 - l. Let a(b) be the first derivative of z(b). Factor a(u). u**2*(u - 1)*(u + 1) Let t = 3 - 30. Let q = 83/3 + t. Factor -40/3*g**2 + 16/3*g**3 - q + 17/3*g. (g - 2)*(4*g - 1)**2/3 Let a be (-145)/29 + (-13)/(-2). Let 0 + 3/2*l**3 + 1/2*l + 1/2*l**4 + a*l**2 = 0. What is l? -1, 0 Let h(f) be the third derivative of 0*f**4 + 0*f + 0 + 1/1260*f**6 + 1/420*f**5 + 2*f**2 + 1/2*f**3. Let a(v) be the first derivative of h(v). Factor a(n). 2*n*(n + 1)/7 Let r(x) = -x**3 + 9*x**2 - 8*x + 3. Let c be r(8). Let j be 6/(-4)*(-4)/c. Find u, given that -3*u**2 + 4*u**2 + 2 - 2*u**2 + j*u - 3 = 0. 1 Let v(j) be the third derivative of -j**6/240 + j**4/48 - 7*j**2. Determine z so that v(z) = 0. -1, 0, 1 Let c = 20/19 + -221/228. Let f(s) be the first derivative of c*s**3 + 0*s**2 + 3 - 1/4*s. Factor f(m). (m - 1)*(m + 1)/4 Let c(o) be the third derivative of o**7/630 + o**6/40 + 2*o**5/15 + 5*o**4/18 + 18*o**2. Find l such that c(l) = 0. -5, -2, 0 Let p = 6 - 10. Let r = p + 9. Find d such that 12*d + 5 + 0 + 12*d**2 - r + 3*d**3 = 0. -2, 0 Solve 64/3*i + 34/3*i**3 - 154/3*i**4 + 146/3*i**2 + 8/3 - 98/3*i**5 = 0. -1, -2/7, 1 Let f(x) = -5*x**5 + 4*x**4 + 2*x**3 - 7*x**2 - 3. Let p(i) = -i**5 - i**2 - 1. Let u(k) = 2*f(k) - 6*p(k). Find c, given that u(c) = 0. -1, 0, 1, 2 Let q(y) = -4*y**3 + 9*y**2 - 6*y - 1. Let j(f) be the first derivative of -2*f**4 + 6*f**3 - 6*f**2 - 3*f - 8. Let w(i) = -2*j(i) + 5*q(i). Solve w(x) = 0. 1/4, 1 Factor -p**3 - 5/4*p**2 + 0 - 1/2*p - 1/4*p**4. -p*(p + 1)**2*(p + 2)/4 Suppose 3*v = -0*v - 5*m - 28, -22 = -3*v + 5*m. Let g be (-2)/v + (-2)/(-3). Solve -g - 16/3*a + 10/3*a**3 + 2/3*a**4 - 2/3*a**2 - 2/3*a**5 = 0 for a. -1, 2 Let n be 0 + (-4 - -2) + -6. Let q be n/(-6)*6/28. Factor 0*h + q*h**3 + 0 - 2/7*h**2. 2*h**2*(h - 1)/7 Let r(n) = -2*n**3 + 7*n**2 - 9. Let b be r(3). What is a in 2/5*a - 4/5*a**4 - 6/5*a**3 + 0 + b*a**2 = 0? -1, 0, 1/2 Let i(p) be the second derivative of p**8/420 + p**7/420 - p**6/90 - p**5/60 + p**3/2 + 3*p. Let t(m) be the second derivative of i(m). Factor t(h). 2*h*(h - 1)*(h + 1)*(2*h + 1) Let v(o) = -31*o**4 - 127*o**3 - 205*o**2 - 113*o - 24. Let r(x) = -21*x**4 - 85*x**3 - 137*x**2 - 75*x - 16. Let u(l) = 7*r(l) - 5*v(l). Factor u(t). 2*(t + 2)**2*(2*t +
{ "pile_set_name": "DM Mathematics" }
se -1 = -i, -184*i + 169*i = 4*u - 61847. What is the units digit of u? 8 Suppose -168 = 13*y - 15*y. Let d be -12*7/(y/104). Let m = d - -212. What is the hundreds digit of m? 1 Let z = -90 - -33. Let t = z + 86. Let q = t - 13. What is the units digit of q? 6 Suppose 2907 = 43*b - 14551. What is the hundreds digit of b? 4 Suppose 0 = 3*c + 66 + 99. Let m = 83 + c. What is the hundreds digit of (-6)/(-21) - (-3128)/m? 1 Suppose -7 = -f + 3*w, 3*f + w - 1 - 20 = 0. Let r(b) = 4*b**3 - 6*b**2 + 9*b + 9. Let c be r(f). Suppose 0*n - c = -5*n. What is the tens digit of n? 3 Let a(w) = 47*w + 84. Let y be a(12). Suppose 4*d = 5*r + 1296, -2*d = -0*d - 3*r - y. What is the hundreds digit of d? 3 Let n(r) = 3*r**3 - r**2 - 4*r + 4. Let h be n(1). Let f = h - -4. What is the hundreds digit of (-54)/(-15)*(-100)/f*-2? 1 Let p(l) = -304*l**3 - 2*l**2 + 56 - 2*l - 2*l - 59. What is the hundreds digit of p(-1)? 3 Suppose 3*x = -5*s + 7*x + 110183, 4*s - 5*x - 88159 = 0. What is the hundreds digit of s? 0 Let n(i) be the first derivative of 17*i**2/2 - 138*i + 65. What is the tens digit of n(29)? 5 Let u be ((-8)/(-40))/((-1)/(-10)). Suppose 4*q + 3*m - 2533 = 0, 6*q + m = u*q + 2543. Suppose 13*p = q + 975. What is the tens digit of p? 2 Let u(l) = 2*l**2 - 82*l - 1484. What is the units digit of u(126)? 6 Let j = -23153 - -10865. Let y = -25 - 41. What is the hundreds digit of j/y - 4/22? 1 Let r be -30*(5/3 - 3/9). Let w be (-368)/r*(-10)/(-4). Suppose 2*d + 3*i - 130 = -w, 4*d = -i + 219. What is the tens digit of d? 5 What is the units digit of (-1)/(1/(-4067)) + (-32)/(-17 + 9)? 1 Let r(t) be the first derivative of 153*t**2/2 - 140*t + 204. What is the hundreds digit of r(10)? 3 Let h(n) = 328*n - 87. Let q be h(9). Suppose q = 16*b - 127. What is the tens digit of b? 8 Let f(z) = -62*z**2 + 8*z + 6. Let n(k) = -21*k**2 + 3*k + 2. Let x(u) = -4*f(u) + 11*n(u). Let c be x(1). What is the units digit of (-17 + c)/((-1)/69)? 9 Let p(g) be the first derivative of -g**4/4 + 10*g**3/3 + 6*g**2 - 21*g - 1. Suppose 4*s + 312 - 352 = 0. What is the units digit of p(s)? 9 Let g be (-2)/6 - 1*8/(-6). Suppose -4*z + 4 = -2*l, -4*z - 3 = -5*l - g. Suppose -3*o - 2*n = -n - 492, -2*n = l*o - 328. What is the hundreds digit of o? 1 Suppose 3*q - 293 = 2599. What is the units digit of q? 4 Let u = -138 - -70. Let s = -67 - u. What is the units digit of (-2)/(10/(-785))*s? 7 Let k = -153 + 156. Suppose -3*i - 5*p + 4480 = 0, -4464 = -96*i + 93*i + k*p. What is the units digit of i? 0 Suppose 2 = -d + 4*n - 6, 0 = 2*n. Let u = -71 - -75. What is the units digit of u*(-3 + (-46)/d)? 1 Let w(x) be the first derivative of 93*x**2 + 12*x - 60. What is the units digit of w(2)? 4 Suppose -z - 4*j - 12519 = -2*z, 0 = -z - j + 12519. What is the units digit of z? 9 Suppose 0 = 64*h - 59*h - 5, 4*f + 3*h = 10947. What is the thousands digit of f? 2 What is the units digit of 36744/(-4)*3*(-8)/36? 4 Let l = -336 - -326. What is the units digit of -1 + 15/l - (-1593)/6? 3 Let m(q) = q - 4. Let i be m(8). Suppose -9 = z - j + 3, 2*j = -i*z - 72. What is the hundreds digit of 29/(-2)*(8 + z)? 1 What is the hundreds digit of (-21 + (-81)/2)*(-682)/3? 9 Let c(j) = 2*j**2 + 5*j + 38. Let r be c(-10). Let x be 1/(286/r + (-9)/6). Let g = x - -38. What is the units digit of g? 5 Let z(c) = 4336*c**2 - 28*c + 4. What is the hundreds digit of z(2)? 2 Suppose -5*h - 3*c = -0*h - 89, -4*c - 8 = 0. Suppose -a = -h*a + 774. What is the units digit of a? 3 Let n(a) = a**3 - 8*a**2 - 6*a + 1. Let f be n(9). Let s(r) = -193*r + 178*r - f - 7. What is the units digit of s(-8)? 5 Let s = 5 - -9. Let l(g) = -g**3 + 18*g**2 - 21*g + 28. Let p be l(s). Suppose p - 110 = 8*n. What is the tens digit of n? 5 Let o = -2156 - -7809. What is the tens digit of o? 5 What is the thousands digit of (-2 - 3930)*-2 + 8? 7 Suppose -2*n - 160 - 521 = 5*v, -5*n = 3*v + 1693. Let a = -211 - n. What is the tens digit of a? 2 Let n = 6605 + 871. What is the thousands digit of n? 7 Suppose -22282 - 50330 = -18*z. What is the tens digit of z? 3 Let q = 106 - 107. Let b be ((-241)/2)/((-6)/36) - q. Suppose 4*i - 4*s = -0*i + b, -718 = -4*i - 2*s. What is the units digit of i? 0 Suppose s + 8 = -3*o - 3*s, 0 = 5*o + 4*s + 8. Suppose -2 = -3*z - 14, o = 2*a - 5*z - 28. Suppose 578 = a*r + 134. What is the units digit of r? 1 Suppose 0 = 39*m - 294973 - 4586. What is the units digit of m? 1 Suppose -6366 = 181*b - 183*b. Suppose 3*k - 7*k + 4244 = -5*w, 5*w = 3*k - b. What is the thousands digit of k? 1 Let x(o) = -5*o**3 - 4*o**2 - 5*o - 3. Let r be x(-2). Let b = 37 - r. What is the units digit of (-4)/(-6) - (-206)/b? 5 What is the ten thousands digit of (5 - 12090/45)/((-2)/(-6))*-16? 1 Suppose -10 = -5*k, 0 = 5*a - 5*k - 0*k - 15. What is the units digit of -1565*a/((-125)/10)? 6 Suppose 2*f = 5*d + 18, 5*f - 701 = 2*d - 677. Let c be 4/1 - 1/1. Suppose 0 = -b + a + 215, f*b - c*a - 855 = -0*b. What is the units digit of b? 0 Let y = 32 - 50. Let o be (y + 10)*(-11 + -1). Suppose -c - c + o = 0. What is the tens digit of c? 4 Let o = -35 - -33. What is the units digit of (3 - (-5 - -5))/(o/(-188))? 2 Suppose 13*t - 5447 = -117. What is the tens digit of t? 1 What is the tens digit of 52*1389203/1148 + (-10)/(-7)? 2 Suppose -4*x + b - 3*b - 4318 = 0, -5*x - 5*b = 5385. Let i = x + 453. Let p = -423 - i. What is the tens digit of p? 0 Let t(w) = -81*w + 5349. What is the units digit of t(0)? 9 Let b = 1194 + -589. Let c = b - 371. Let z = c + -59. What is the hundreds digit of z? 1 Let k(q) be the second derivative of 0 - 4*q**2 - 2/3*q**3 + 1/6*q**4 - 18*q. What is the tens digit of k(-8)? 5 Let a be 1 + 2 + (7 - 13). What is the hundreds digit of -4 - (-5 - 146)*a/(-1)? 4 Suppose 5*h - 83 + 153 = 0. What is the tens digit of (-7)/h*6 - -229? 3 Let o = 1897 + 11442. What is the hundreds digit of o? 3 Suppose 3*p = -4*l + 5946, -l + 5*l + p = 5942. Let z = -1033 + l. What is the units digit of z? 2 Let o = 8 - -423. Let i = o + -267. What is the tens digit of i? 6 Let z(k) be the second derivative of -k**3/6 + 41*k**2 - 70*k. Suppose 5*s + 3*v + 3 = 0, 0 = -3*s + 4*v + v + 5. What is the tens digit of z(s)? 8 Suppose 4*r - 7823 = -3*r + 54841. What is the thousands digit of r? 8 What is the thousands digit of (4/(-1) - (-36558)/24)*4? 6 Let n = 370 - 168. Let p = 264 - n. What is the tens digit of p? 6 Let u = -265 + 386. Suppose 3*q - 55 = 4*c, -3*c + 22 = -5*q + u. Suppose -q*d + 16*d = -200. What is the tens digit of d? 4 Let y be (-6 + -1 + 8)*57/3. Let q(c) = 38*c - 230. What is the units digit of q(y)? 2 Let j be (-1 + 1 - 1) + 18/6. Suppose j*b - 1 = 5. Suppose 0 = b*o + o - 228. What is the units digit of o? 7 Let b be (-21 - -469) + (-1)/(2/(-8)). Suppose 3*j - 3 = 9. Suppose -5*w - b = -j*x, -2*w - 336 - 10 = -3*x. What is the units digit of x? 8 Let l be 35/(-14)*-4*15/50. Suppose l*u - 31*b - 1905 = -34*b, 2*u = -4*b + 1276. What is the tens digit of u? 3 What is the tens digit of (2 - (-480106)/33)/((-10)/(-15)) - -2? 2 Suppose -n - 3*k - k = -52, k - 163 = -4*n. Suppose 0 = -5*u + 4*a - n - 97, -5*a = -15. Let v = u - -64. What is the units digit of v? 9 What is the tens digit of ((84/36)/(14/6))/((-1)/(-2268))? 6 Suppose -1438 = -5*d + 2707. Let f = d + -1277. Let i = 649 + f. What is the tens digit of i? 0 Suppose f - 17900 = -5*a, 0 = 19*f - 17*f + 4*a - 35800. What is the hundreds digit of f? 9 Let c = 31 - -33. Suppose 0 = 68*w - c*w - 828. What is the tens digit of w? 0 Let n = -304 - -307. What is the tens digit of (-2 - -1)/(n/(-807))? 6 Let m be ((-3)/12)/(1/8). Let i(s) = -167*s - 16. What is the hundreds digit of i(m)? 3 Suppose -1 = -2*y + 19. Let a be 1484/y + 9/((-225)/10). Suppose a = 3*f - 146. What is the units digit of f? 8 Let g = 39 - 20. Suppose -7*y = -9 - g. Suppose 2*i + 4*k - 122 = 0, -k = y*i + k - 262. What is the tens digit of i? 6 Let k(l) = -l - 7. Let a be k(-11). Suppose a*b - 3576 = 4*w, 2*b - b + 5*w - 882 = 0. What is the hundreds digit of b? 8 Suppose -4*o + 3 = -r, -3*r + r + 29 = -o. Suppose 0 = r*g + g - 14526. What is the units digit of g? 7 Let r = -4617 - -15117. What is the ten thousands digit of r? 1 Suppose -32 = -4*y, -t - 2*y - 12120 = -54748. What is t
{ "pile_set_name": "DM Mathematics" }
0 = -0*k - 4*k + d - 9, 3*d + 3 = 2*k. Which is the closest to 0.1? (a) -2 (b) k (c) -10 a Let r = 0.4 + -0.1. Let j = r + -1.3. What is the closest to j in 4, -0.3, 2/5? -0.3 Let s(r) = 36*r + 1. Let g be s(-1). Let t be g/21*3/(-4). Which is the closest to 2? (a) 1/4 (b) t (c) -2 b Let p be (0/3)/(1 + 2). Suppose 4*g = -5*d - 13, 0*d + d - g - 1 = p. Let z be (-1 + 3)*(-3)/2. Which is the nearest to d? (a) -4/5 (b) z (c) 5 a Let q = 13 + -12. Let r = -5 + 1. Which is the closest to -1? (a) q (b) -1/2 (c) r b Let o be 2/210 - 2/14. What is the closest to 1 in o, 1/5, 6/11? 6/11 Let k be (-2152)/(-14) + 10/35. Let y = -619/4 + k. Which is the closest to 2/7? (a) y (b) -3 (c) -2/5 c Let j = -7 + 7. Suppose 3*w = 6, 5*i - i - 2*w = j. What is the closest to 1/4 in 0.2, 2, i? 0.2 Let u = -0.02 + 0.02. Let o = -15 + 10. Which is the nearest to -1? (a) -2/3 (b) u (c) o a Let z = 4 + -3.3. Let n = -1.3 - z. Which is the closest to n? (a) 0.5 (b) 2/9 (c) -2/7 c Suppose -p - 14 = 6. Let l be (-4)/p + (-8)/10. What is the closest to 3 in 0.3, -0.2, l? 0.3 Let z = 14 + 2. Let f = z + -63/4. Which is the nearest to -0.1? (a) -0.5 (b) 4/7 (c) f c Let p = 12 + -18. Let c = -5.9 - p. What is the nearest to c in -3, 1/7, -5? 1/7 Let y = -1.532 - 0.438. Let q = y + -0.03. Which is the closest to -1? (a) q (b) 0.3 (c) -5 a Let d = 229/678 - 1/226. What is the nearest to 2/3 in 1/5, 1/9, d? d Let h = 6 - 1. Let s = -4.5 + h. Let m = 0.1 - s. Which is the closest to -1? (a) m (b) 0 (c) 0.2 a Let z = -51 + 52. Which is the closest to z? (a) 2/9 (b) -0.2 (c) 0.4 c Let b = -73/210 - -1/70. What is the closest to b in 2, -0.2, 0.5? -0.2 Let i = -1.63 - -3.63. Which is the closest to -4? (a) -3 (b) 1 (c) i a Let n = 25/52 + -3/13. What is the nearest to -2 in -0.1, n, -5? -0.1 Let x = 0.6 - 7.6. Let m = 6 + x. What is the closest to -1/4 in 1, m, 5/4? m Let a be 9/2*(-3)/(-36). Let o = 18 - 53/3. What is the closest to o in 0, a, -5? a Let h = -1/50 + 107/350. Which is the nearest to 0.2? (a) h (b) 3 (c) -2 a Let l = 17 + -18. What is the nearest to 2/7 in 0.3, 0.2, l? 0.3 Let b = 3.4 - 4. Let p = b + -0.4. What is the closest to 1/3 in -5, 0, p? 0 Let k = -1 + -8. Let l be 3/k*0 + 12. Suppose 4*x = l - 0. Which is the nearest to 0? (a) 2/5 (b) x (c) 0.1 c Let r(t) = t**3 - 4*t**2 + t + 2. Let c be r(3). Let g = 1321/1986 + 1/662. What is the closest to -1/3 in g, c, 1? g Let k = -6 - -6. Which is the nearest to 1/4? (a) 6/11 (b) -1 (c) k c Let l be (0 - 3/(-9))*(-30)/55. Which is the nearest to -0.1? (a) 0.4 (b) -9 (c) l c Let c = 2 - 7. What is the nearest to 0 in c, 14, -0.3? -0.3 Let r = -0.04 + 1.04. Let p(v) = v - 3. Let x be p(-7). Let h be 1/6 + (-5)/x. Which is the nearest to h? (a) r (b) -0.4 (c) -3 a Let b = -0.7 - 4.3. Let z = b - -4.7. Let j = -5 + 4.6. What is the closest to 1 in j, 0.4, z? 0.4 Let d = 0.4 - 5.4. Let a be 5 - (3 + (-8)/4). Let f be -1 - (a - 42/8). What is the closest to f in d, 3, 2/5? 2/5 Let h = 25 - 327/13. Which is the closest to 0.1? (a) -4 (b) h (c) -6 b Let w be (4/28)/(4/14). What is the nearest to w in 2, -3, 1? 1 Let t = 26 - 26.08. Which is the closest to 0.1? (a) -0.3 (b) -1/4 (c) t c Let p = -1 - -2. Let z = -16.9 + 15.9. Which is the nearest to z? (a) p (b) 4 (c) -4 a Let h(g) = g**3 + 3*g**2 - 2*g - 1. Let k be h(-3). Suppose 4*x = 2 + 18. Suppose 4*m - x = -m. Which is the nearest to 1/4? (a) -3 (b) m (c) k b Let j = -7.9 - -8. Let g = j - 0.2. What is the closest to g in -0.5, -0.1, -1? -0.1 Let w be -1*10*((-2 - -2) + 1). What is the nearest to 0 in 3, 1, w? 1 Let j = -485/3 + 160. Let t = 25.1 - 25. Which is the nearest to t? (a) -3 (b) j (c) -5 b Let x be (32/(-28))/((-2)/7). Let n = -8 - -5. What is the nearest to -1 in 2/17, x, n? 2/17 Let c be 24/(-16) - 22/(-12). What is the nearest to 1 in c, 2/7, 2? c Let s = 47 - 47.2. What is the nearest to -2 in 8/7, s, -0.1? s Let p be 4 + -14*(-10)/(-36). Let i = p - -2/9. What is the closest to -1/2 in 0.2, -1, i? -1 Let r be ((-5)/(-60)*-2)/((-6)/9). Which is the closest to r? (a) 4 (b) -1/8 (c) 0.3 c Let z = 19 - 18.8. Let v = -0.06 - 0.34. What is the closest to z in v, 3, 1/5? 1/5 Suppose 2 + 4 = 3*f. Suppose 12 + f = -2*s. Let g = -8 - s. What is the nearest to 0.2 in -4, g, -0.4? -0.4 Let l be 2 + (30/12)/(-1). What is the closest to 0 in l, -3, 2? l Let m(h) = -h**2 + 5*h + 11. Suppose -9 = 2*s - 3*s. Let u be m(s). Let v be (-15)/u + 2/(-2). Which is the nearest to -2/3? (a) v (b) 2 (c) 3/5 a Let w = 0.056 - 1.056. Which is the closest to -0.1? (a) w (b) 2/9 (c) 0.4 b Let t be ((-16)/10)/((-4)/10). Let g = 0.18 + -0.38. Which is the closest to 0? (a) t (b) g (c) -2/3 b Let g = -0.07 - -2.07. Which is the nearest to g? (a) -2/7 (b) 3 (c) 2 c Let l = 1.3 + -1. Let d = l - 0.3. Suppose 0 = 3*x - x. What is the closest to x in -1/2, -5, d? d Let z = -17/108 - 5281/756. Let p = -13/2 - z. Let q = p - 1/2. What is the nearest to -0.1 in q, 2/7, -3? q Let d = 11 - 5. Suppose o - 6*o = 20. Which is the closest to d? (a) 3/7 (b) o (c) -2 a Let b = -5 + 4.1. Let y = -3.1 + b. What is the closest to 1 in 1, -0.1, y? 1 Let s = -6 - -7. Let b = s - 5. What is the closest to 1 in b, -1/7, -0.2? -1/7 Let n = -13 + 10. Let x = 2 + 1. Let r = x + n. Which is the closest to -0.1? (a) -0.3 (b) -0.5 (c) r c Let x = 7.691 + 0.009. Let p = 8 - x. What is the nearest to 1 in p, 1, 2? 1 Let i = 4.7 + -7.6. Let j = -3 - i. Let o = j - -0.2. What is the closest to 1 in 1/7, o, 5/2? 1/7 Let z = -182 + 183. What is the nearest to 0.1 in -9, z, 2? z Let a(u) = u**3 - u**2 - 2*u - 5. Let w be a(0). What is the nearest to -2 in 2, w, -2? -2 Let m(d) = d**3 - 10*d**2 + 10*d - 6. Let l be m(9). Let k be l/5*5/(-2). Let w = 1.1 - 1. What is the nearest to 0.1 in k, w, -0.5? w Let o = 0.1 + -2. Which is the closest to o? (a) -0.4 (b) -5 (c) -0.5 c Let o = 1 + -0.6. Let d = -2125/3 + 715. Let u = d + -7. Which is the nearest to u? (a) -1/3 (b) o (c) 4 a Let i be (8/(-20) - -1) + 2/(-2). Let o = -7 - -2. Which is the closest to -1/3? (a) i (b) 3 (c) o a Let v be 11/3 + 9/(-3). Which is the nearest to -0.2? (a) -3 (b) v (c) -1 c Let i = 0.2 + 0. Let z = i - 0.3. Let o = 4 - 2. Which is the closest to z? (a) o (b) 3 (c) -5 a Let a be (-205)/(-65) + 2/(-13). Let m be a/9 - 20/6. What is the nearest to -0.1 in -4, 1/4, m? 1/4 Let i be (-5)/6 - 2/(-12). Which is the nearest to 4? (a) 3 (b) i (c) -3 a Let v = -0.052 - 23.848. Let r = 24 + v. Which is the closest to -2/5? (a) r (b) 2/3 (c) 1/9 a Let u = -68/7 - -10. Which is the nearest to 1/3? (a) -4/5 (b) u (c) -4 b Let t(d) = d**2 + 7*d + 1. Let c be t(-7). Suppose 2*m + 5 = c. Let z = -12.6 + 13. What is the closest to -1/3 in m, 0.5, z? z Let s = 4 - -1. Let p = -0.4 + 0.2. What is the nearest to -2 in s, -4, p? p Let t = -19 + 31. Let s = 0.17 + -7.17. Let v = t + s. What is the closest to -2/7 in 0, 0.1, v? 0 Let m = 41 - 39. What is the closest to -2 in -0.4, m, 3? -0.4 Let g = -0.06 - 2.94. Let t = 10/11 - 41/33. What is the closest to t in 5, -5, g? g Let m = 10 - 21/2. What is the closest to 6 in 3, 0, m? 3 Let w be (2/1 - 1)*0. Let m(p) = p**2 - 2*p - 7. Let x be m(5). Let g = -6 + x. Which is the nearest to 1/4? (a) 3 (b) w (c) g b Let l = 0.79 - -0.11. Let p = l + -1. Let u be 4 + (25/(-3) - (7 - 10)). Which is the closest to 0.1? (a) -2/11 (b) u (c) p c Suppose 0 = f - 5*b + 11 - 33, -5*f - b - 20 = 0. Let l = 8.9 - 9. What is the closest to -1 in -4/5, l, f? -4/5 Let t = -4.1 - -0.1. Let y = 33.4 - 33. Which is the closest to 1? (a) y (b) t (c) -2 a Let f be 8/(-28) - (-13)/21. Suppose 0 = 2*s + 3*s - 20. Suppose s = 5*k - 1. Which is the nearest to -2? (a) k (b) 0 (c) f b Suppose -u = u. Let d = 1 - 2. Which is the closest to 0? (a) 2/3 (b) d (c) u c Let y = -2 + 0. Let f = -3.6 + 4. Let p = 18.9 - 19. Which is the closest to -0.2? (a) p (b) y (c) f a Let h be 5/((-10)/4) - 2. Which is the closest to -1? (a) -0.2 (b) 0.6 (c) h a Let g be 120/273 - (-2)/(-7). Let o be (-1 - 54/(-24))*(-1)/5. Which is the nearest to 3? (a) g (b) -0.5 (c) o a Let n = 1.4 - 8.4. Let k = -5.5 - n. Let l = k + -1. What is t
{ "pile_set_name": "DM Mathematics" }
divided by 10955. 10944 Calculate the remainder when 2362413 is divided by 236234. 73 What is the remainder when 7646 is divided by 1514? 76 What is the remainder when 14966753 is divided by 6089? 6080 Calculate the remainder when 185658 is divided by 46407. 30 Calculate the remainder when 518675 is divided by 12031. 1342 Calculate the remainder when 115623 is divided by 7409. 4488 What is the remainder when 60915184 is divided by 129? 94 Calculate the remainder when 116234064 is divided by 18. 0 Calculate the remainder when 7214754 is divided by 154. 8 What is the remainder when 11052707 is divided by 2277? 149 What is the remainder when 65863 is divided by 13006? 833 What is the remainder when 8174110 is divided by 204347? 230 Calculate the remainder when 20849 is divided by 20454. 395 What is the remainder when 108892 is divided by 2862? 136 What is the remainder when 468198 is divided by 35733? 3669 Calculate the remainder when 2677694 is divided by 427. 404 Calculate the remainder when 420039 is divided by 52500. 39 What is the remainder when 27411 is divided by 66? 21 Calculate the remainder when 726574 is divided by 3726. 4 What is the remainder when 3677214 is divided by 63? 30 Calculate the remainder when 54284402 is divided by 27142197. 8 What is the remainder when 1535020 is divided by 576? 556 What is the remainder when 10298789 is divided by 2696? 69 Calculate the remainder when 24485130 is divided by 8695. 10 What is the remainder when 1187558 is divided by 17? 6 What is the remainder when 380175 is divided by 7? 5 Calculate the remainder when 80634 is divided by 6. 0 Calculate the remainder when 9819869 is divided by 95. 4 Calculate the remainder when 7441 is divided by 7340. 101 What is the remainder when 92487308 is divided by 6? 2 Calculate the remainder when 309013 is divided by 4291. 61 What is the remainder when 967969 is divided by 2719? 5 Calculate the remainder when 1235101 is divided by 368. 93 Calculate the remainder when 32636 is divided by 30. 26 What is the remainder when 2622482 is divided by 412? 102 What is the remainder when 32473523 is divided by 343? 341 What is the remainder when 8799938 is divided by 985? 933 Calculate the remainder when 4479057 is divided by 347. 328 What is the remainder when 36548 is divided by 35751? 797 Calculate the remainder when 475301 is divided by 328. 29 Calculate the remainder when 19040974 is divided by 144. 142 What is the remainder when 84701482 is divided by 7305? 7 Calculate the remainder when 769421 is divided by 1524. 1325 What is the remainder when 17090 is divided by 1118? 320 Calculate the remainder when 2640657 is divided by 80010. 327 What is the remainder when 415903 is divided by 722? 31 Calculate the remainder when 8315743 is divided by 1118. 59 Calculate the remainder when 458700 is divided by 77. 11 Calculate the remainder when 1078 is divided by 123. 94 What is the remainder when 12768338 is divided by 20? 18 What is the remainder when 106905 is divided by 8221? 32 Calculate the remainder when 1549081 is divided by 3806. 39 What is the remainder when 41907323 is divided by 202? 201 Calculate the remainder when 3620005 is divided by 1378. 1377 Calculate the remainder when 18747899 is divided by 2137. 2135 Calculate the remainder when 3720063 is divided by 1298. 1293 What is the remainder when 2436395 is divided by 54142? 5 What is the remainder when 551368 is divided by 2146? 1992 Calculate the remainder when 2695657 is divided by 103. 44 What is the remainder when 513918 is divided by 3971? 1659 What is the remainder when 5510734 is divided by 3479? 3477 What is the remainder when 1324664 is divided by 9264? 9176 Calculate the remainder when 264742637 is divided by 16. 13 Calculate the remainder when 59380 is divided by 3119. 119 What is the remainder when 37511 is divided by 1413? 773 Calculate the remainder when 1196458 is divided by 4243. 4175 What is the remainder when 22525117 is divided by 3274? 3271 Calculate the remainder when 3160057 is divided by 18. 13 What is the remainder when 205869686 is divided by 92? 90 What is the remainder when 129301 is divided by 8966? 3777 Calculate the remainder when 1535590 is divided by 489. 130 Calculate the remainder when 5966541 is divided by 127. 81 What is the remainder when 3742546 is divided by 673? 666 What is the remainder when 6255224 is divided by 3089? 3088 Calculate the remainder when 776893 is divided by 8442. 229 Calculate the remainder when 17338461 is divided by 1759. 1757 What is the remainder when 938582 is divided by 31265? 632 Calculate the remainder when 574968 is divided by 114987. 33 What is the remainder when 703334 is divided by 100469? 51 Calculate the remainder when 229909046 is divided by 591. 590 What is the remainder when 184586 is divided by 19331? 10607 What is the remainder when 22412410 is divided by 577? 576 Calculate the remainder when 48667 is divided by 48653. 14 Calculate the remainder when 16091559 is divided by 102. 39 What is the remainder when 6683308 is divided by 1115? 1113 What is the remainder when 9410633 is divided by 4705295? 43 Calculate the remainder when 1083779 is divided by 19353. 11 Calculate the remainder when 150227 is divided by 5532. 863 Calculate the remainder when 112414494 is divided by 17. 5 Calculate the remainder when 3527890 is divided by 167. 15 Calculate the remainder when 182447057 is divided by 3997. 3992 Calculate the remainder when 2637988 is divided by 458. 366 Calculate the remainder when 637037 is divided by 855. 62 Calculate the remainder when 20186 is divided by 561. 551 Calculate the remainder when 926106 is divided by 594. 60 What is the remainder when 44851 is divided by 11155? 231 What is the remainder when 40095642 is divided by 91334? 16 Calculate the remainder when 13451764 is divided by 460. 444 Calculate the remainder when 13601937 is divided by 127. 110 What is the remainder when 205926 is divided by 7415? 5721 Calculate the remainder when 1471493 is divided by 104. 101 Calculate the remainder when 118919 is divided by 14. 3 What is the remainder when 453290 is divided by 226609? 72 What is the remainder when 6356979 is divided by 1340? 19 What is the remainder when 153262 is divided by 3001? 211 What is the remainder when 277588 is divided by 277534? 54 Calculate the remainder when 188242 is divided by 2109. 541 What is the remainder when 514874 is divided by 2942? 24 Calculate the remainder when 3844647 is divided by 116479. 840 What is the remainder when 1004685 is divided by 26438? 41 What is the remainder when 63604023 is divided by 214? 13 What is the remainder when 532426 is divided by 509? 12 What is the remainder when 823894 is divided by 5682? 4 Calculate the remainder when 11265598 is divided by 866583. 19 Calculate the remainder when 6131674 is divided by 1244. 1242 What is the remainder when 953141 is divided by 34030? 301 What is the remainder when 19402048 is divided by 68? 16 What is the remainder when 212052 is divided by 2445? 1782 What is the remainder when 23122574 is divided by 1939? 1938 Calculate the remainder when 751106 is divided by 518. 6 What is the remainder when 27178398 is divided by 45? 18 What is the remainder when 6559 is divided by 2233? 2093 What is the remainder when 19823261 is divided by 19006? 3 What is the remainder when 20716030 is divided by 1726335? 10 Calculate the remainder when 543937 is divided by 11. 9 Calculate the remainder when 118602123 is divided by 1. 0 Calculate the remainder when 138896172 is divided by 12. 0 What is the remainder when 183983 is divided by 2743? 202 Calculate the remainder when 3574805 is divided by 537. 533 What is the remainder when 10940372 is divided by 6188? 6176 What is the remainder when 15855 is divided by 2525? 705 Calculate the remainder when 1357813 is divided by 404. 373 What is the remainder when 14750347 is divided by 20? 7 Calculate the remainder when 233643 is divided by 21. 18 Calculate the remainder when 42117042 is divided by 276. 270 Calculate the remainder when 7795618 is divided by 807. 805 What is the remainder when 6695812 is divided by 76? 60 Calculate the remainder when 3728237 is divided by 1137. 14 What is the remainder when 1
{ "pile_set_name": "DM Mathematics" }
954? 37206 Calculate the smallest common multiple of 25 and 440. 2200 Calculate the common denominator of -55/109839 and 35/10716. 439356 Calculate the common denominator of -37/756 and -89/1722. 30996 Calculate the common denominator of -95/9828 and 187/3276. 9828 Calculate the least common multiple of 4470 and 44700. 44700 What is the smallest common multiple of 6280 and 5495? 43960 Calculate the common denominator of 29/7 and 23/65025. 455175 Find the common denominator of 41/684 and 113/1026. 2052 What is the smallest common multiple of 2210 and 22984? 114920 What is the lowest common multiple of 2590 and 75110? 75110 What is the lowest common multiple of 135 and 193965? 1745685 What is the smallest common multiple of 348 and 45240? 45240 What is the common denominator of -31/3861 and 109/4428? 633204 Calculate the common denominator of 73/24240 and 39/3760. 1139280 Calculate the smallest common multiple of 57904 and 32. 115808 What is the least common multiple of 2124 and 18684? 1102356 What is the smallest common multiple of 11728 and 14660? 58640 Calculate the least common multiple of 207 and 139. 28773 What is the smallest common multiple of 1837 and 1307777? 14385547 Calculate the smallest common multiple of 1717 and 289. 29189 Find the common denominator of 181/5700 and -139/84. 39900 What is the lowest common multiple of 102 and 22831? 136986 Find the common denominator of -131/15744 and 109/22. 173184 Find the common denominator of 25/8551 and 24/127. 1085977 What is the lowest common multiple of 2088 and 783? 6264 Calculate the common denominator of 5/95592 and -81/70. 477960 Find the common denominator of -69/8192 and -71/5120. 40960 What is the lowest common multiple of 58362 and 233448? 233448 What is the common denominator of -73/156 and -39/139336? 5434104 Calculate the common denominator of -19/131395 and -18/55. 131395 What is the common denominator of 79/1290 and 95/5762? 86430 What is the common denominator of 89/10962 and -88/5481? 10962 Calculate the common denominator of 149/19686 and -21/11. 216546 Calculate the smallest common multiple of 30 and 45516. 227580 What is the least common multiple of 7630 and 4578? 22890 Calculate the lowest common multiple of 798 and 4. 1596 What is the common denominator of 67/316869 and -26/75445? 1584345 Find the common denominator of -89/84 and -53/59628. 417396 Calculate the common denominator of -101/16786 and 23/21582. 151074 What is the least common multiple of 45 and 177480? 177480 Calculate the least common multiple of 74391 and 84. 2082948 Calculate the least common multiple of 5528 and 48. 33168 Find the common denominator of -40/37067 and -3/2569. 259469 What is the lowest common multiple of 872226 and 96914? 872226 Calculate the smallest common multiple of 4 and 156920. 156920 What is the smallest common multiple of 2 and 7390? 7390 What is the common denominator of 39/55943 and 38/14311? 615373 What is the least common multiple of 22 and 213834? 2352174 Calculate the least common multiple of 1440 and 44. 15840 What is the lowest common multiple of 1150583 and 287? 1150583 What is the common denominator of -131/35350 and 143/1400? 141400 Calculate the common denominator of 151/942 and -25/33598. 100794 Calculate the lowest common multiple of 1273 and 1005. 19095 What is the common denominator of -73/15796 and 4/43439? 173756 Calculate the least common multiple of 8372 and 1372. 410228 Calculate the common denominator of 1/651998 and 101/4. 1303996 What is the lowest common multiple of 3528 and 2254? 81144 What is the smallest common multiple of 22140 and 63? 154980 Calculate the lowest common multiple of 611 and 144196. 144196 Find the common denominator of 41/40038 and -33/10. 200190 What is the least common multiple of 4842 and 132? 106524 Find the common denominator of -67/653352 and 11/112. 1306704 Calculate the common denominator of -13/7 and 17/5215. 5215 Calculate the smallest common multiple of 2864 and 128. 22912 What is the common denominator of 11/26775 and 229/32130? 160650 Calculate the lowest common multiple of 504 and 106512. 319536 Calculate the common denominator of -43/414 and 91/13708. 123372 Calculate the smallest common multiple of 332052 and 4. 332052 What is the smallest common multiple of 1196022 and 39? 15548286 Find the common denominator of 11/108 and -31/255036. 2295324 Find the common denominator of 38/921 and -20/1479. 454053 Calculate the least common multiple of 10015 and 54081. 270405 What is the common denominator of -71/2457 and 28/247? 46683 Find the common denominator of 17/33645 and 139/84. 942060 Find the common denominator of 1/3608 and 5/9922. 39688 What is the common denominator of 41/160 and -157/54720? 54720 What is the common denominator of 89/156232 and 77/944? 312464 Calculate the common denominator of -23/1752 and 61/73803. 590424 What is the common denominator of 25/186879 and 76/1842093? 12894651 What is the lowest common multiple of 51458 and 14034? 154374 Calculate the smallest common multiple of 16 and 44. 176 Calculate the lowest common multiple of 125436 and 18. 376308 Calculate the lowest common multiple of 12380 and 50. 61900 Find the common denominator of -61/128570 and -27/359996. 1799980 Calculate the common denominator of 25/17776 and 21/1408. 142208 Calculate the common denominator of 179/11370 and -193/3120. 1182480 What is the least common multiple of 1744 and 1308? 5232 Find the common denominator of -9/3208 and 29/4224. 1693824 What is the common denominator of -81/189760 and 99/40? 189760 What is the smallest common multiple of 818547 and 1449? 17189487 Find the common denominator of 23/10218 and -41/22008. 286104 Calculate the common denominator of -127/1680 and -151/52920. 105840 What is the common denominator of -25/409299 and -18/1099? 2865093 What is the lowest common multiple of 4403106 and 16? 35224848 What is the lowest common multiple of 401400 and 602100? 1204200 Find the common denominator of -63/1952 and 1/52704. 52704 What is the common denominator of -137/480 and -47/10416? 104160 Calculate the common denominator of 26/9309 and 68/453. 1405659 Find the common denominator of -113/23352 and -85/3892. 23352 Find the common denominator of -89/55944 and -13/46620. 279720 What is the lowest common multiple of 89644 and 8? 179288 What is the smallest common multiple of 160 and 80? 160 Calculate the common denominator of 76/69 and -42/11891. 35673 Calculate the common denominator of -67/376340 and -92/1395. 3387060 Find the common denominator of 157/16680 and 61/690. 383640 Calculate the least common multiple of 330 and 21132. 1162260 What is the common denominator of -161/5346 and 173/119070? 1309770 What is the smallest common multiple of 60900 and 756? 548100 Calculate the least common multiple of 66 and 162. 1782 What is the least common multiple of 216088 and 4? 216088 What is the smallest common multiple of 15016 and 50? 375400 What is the least common multiple of 290 and 37722? 5469690 What is the common denominator of 75/112 and 35/337? 37744 Find the common denominator of 41/10 and -103/8410. 8410 Calculate the smallest common multiple of 7140 and 340. 7140 Calculate the least common multiple of 1788 and 177310. 1063860 What is the smallest common multiple of 4 and 6621? 26484 What is the common denominator of 73/550 and -49/18750? 206250 What is the least common multiple of 14550 and 2910? 14550 Calculate the common denominator of -139/8050 and 66/18725. 861350 Calculate the common denominator of 54/4213 and -31/11. 4213 What is the common denominator of -41/749242 and -41/11? 8241662 Find the common denominator of 89/23442 and 113/46884. 46884 What is the smallest common multiple of 12 and 1910? 11460 Calculate the common denominator of 17/55955 and -49/186. 335730 Calculate the smallest common multiple of 11822 and 5654. 130042 Find the common denominator of 27/1420 and -41/80. 5680 What is the least common multiple of 16105 and 6? 96630 What is the common denominator of -16/73 and -70/309? 22557 What is the smallest common multiple of 11 and 50608? 556688 What is the lowest common multiple of 20784 and 381906? 3055248 Calculate the least common multiple of 37368 and 209676. 3774168 W
{ "pile_set_name": "DM Mathematics" }
mon divisor of 768 and 38712. 24 Calculate the greatest common factor of 110070 and 450. 90 Calculate the greatest common factor of 252 and 796446. 126 Calculate the greatest common factor of 23317 and 56. 7 Calculate the greatest common factor of 94 and 59502. 94 What is the greatest common divisor of 52 and 84383? 13 What is the greatest common factor of 76 and 32832? 76 What is the highest common factor of 371657 and 39? 13 What is the greatest common factor of 160524 and 1323? 441 What is the highest common divisor of 41510 and 160? 10 What is the greatest common divisor of 108 and 1122? 6 Calculate the highest common divisor of 25331820 and 15. 15 What is the greatest common factor of 164 and 77654? 82 Calculate the highest common factor of 3002 and 152. 38 Calculate the greatest common factor of 11520 and 34840. 40 Calculate the greatest common divisor of 1 and 43578. 1 Calculate the highest common divisor of 663313 and 49. 49 Calculate the greatest common divisor of 60903 and 5757. 303 What is the highest common factor of 8160 and 36040? 680 Calculate the highest common factor of 65 and 66235. 65 Calculate the greatest common factor of 46225 and 1290. 215 Calculate the highest common divisor of 630 and 7362. 18 Calculate the greatest common divisor of 2239010 and 30. 10 What is the highest common divisor of 864 and 127648? 32 Calculate the highest common divisor of 2 and 47911. 1 What is the greatest common factor of 1196510 and 70? 70 Calculate the greatest common factor of 4930 and 20995. 85 Calculate the highest common factor of 18915 and 105. 15 What is the highest common factor of 154 and 21538? 22 Calculate the highest common factor of 17 and 64991. 17 What is the highest common factor of 391 and 12325? 17 What is the greatest common factor of 497480 and 160? 40 What is the highest common factor of 847020 and 1520? 380 Calculate the highest common divisor of 96878 and 14750. 118 Calculate the greatest common factor of 3287 and 8474. 19 Calculate the greatest common factor of 58 and 28159. 29 What is the greatest common divisor of 19920 and 5790? 30 Calculate the highest common divisor of 134078 and 7686. 854 Calculate the highest common factor of 76936 and 16. 8 Calculate the highest common divisor of 8640 and 74160. 720 What is the highest common factor of 2668 and 580? 116 What is the greatest common divisor of 8778 and 53592? 462 Calculate the highest common divisor of 133810 and 50. 10 Calculate the greatest common divisor of 952 and 839528. 136 What is the greatest common divisor of 134769 and 538? 269 Calculate the highest common divisor of 88 and 1952. 8 What is the highest common factor of 26584 and 88? 8 What is the greatest common factor of 334 and 7917303? 167 What is the highest common divisor of 156 and 17511? 39 Calculate the greatest common divisor of 38157 and 115. 23 Calculate the highest common factor of 6768 and 1584. 144 Calculate the highest common factor of 4567295 and 535. 535 Calculate the greatest common factor of 43512 and 8436. 444 What is the highest common factor of 176 and 34904? 8 What is the highest common factor of 9 and 1467? 9 What is the highest common divisor of 78 and 6838? 26 What is the highest common factor of 2245 and 19307? 449 What is the greatest common divisor of 762327 and 3195? 639 Calculate the greatest common factor of 331363 and 7328. 229 Calculate the highest common factor of 88387 and 169. 169 Calculate the greatest common factor of 255853 and 26. 13 Calculate the greatest common divisor of 234 and 562536. 234 Calculate the highest common factor of 20595 and 75. 15 Calculate the highest common factor of 99 and 26279. 11 Calculate the highest common divisor of 372 and 2759. 31 Calculate the greatest common divisor of 244 and 104066. 122 Calculate the highest common divisor of 1870872 and 137. 137 What is the highest common factor of 8 and 14801272? 8 Calculate the highest common divisor of 67598 and 2336. 146 What is the greatest common divisor of 6 and 409314? 6 Calculate the greatest common factor of 2439 and 27371. 271 What is the highest common factor of 90 and 29710? 10 What is the greatest common divisor of 20375 and 16000? 125 What is the highest common factor of 7100 and 1211260? 1420 What is the greatest common divisor of 75183 and 209? 19 Calculate the greatest common divisor of 9398613 and 1461. 1461 Calculate the highest common divisor of 344460 and 10. 10 What is the highest common factor of 2943 and 270? 27 What is the greatest common factor of 8 and 242800? 8 Calculate the highest common divisor of 16392 and 6120. 24 Calculate the greatest common divisor of 638590 and 19. 19 Calculate the greatest common factor of 22 and 171391. 11 Calculate the highest common divisor of 610876 and 56. 28 Calculate the highest common divisor of 41319 and 3. 3 What is the highest common divisor of 8863 and 16? 1 What is the greatest common factor of 672764 and 2528? 316 Calculate the highest common divisor of 1840 and 7340. 20 Calculate the highest common factor of 17064 and 1048. 8 Calculate the greatest common factor of 7672 and 154. 14 Calculate the highest common factor of 207 and 118749. 69 Calculate the highest common factor of 517 and 1804. 11 What is the highest common factor of 2658864 and 240? 48 What is the greatest common divisor of 3 and 128119? 1 Calculate the greatest common divisor of 84942 and 67639. 1573 Calculate the highest common divisor of 32 and 17319504. 16 What is the greatest common divisor of 46313 and 58? 29 Calculate the greatest common factor of 32 and 961. 1 What is the greatest common factor of 11 and 163405? 11 Calculate the greatest common factor of 3349 and 591. 197 Calculate the highest common factor of 1183 and 1456. 91 What is the highest common factor of 649 and 55? 11 What is the highest common divisor of 48 and 611472? 48 Calculate the greatest common divisor of 360 and 41535. 45 What is the greatest common factor of 304 and 65512? 152 What is the highest common divisor of 352 and 23648? 32 What is the highest common divisor of 466580 and 1476? 164 Calculate the highest common factor of 5810 and 74830. 70 What is the greatest common factor of 2080 and 2470? 130 What is the highest common factor of 69 and 11776? 23 What is the greatest common divisor of 627 and 201609? 57 Calculate the highest common factor of 20196 and 5916. 204 Calculate the highest common divisor of 298701 and 345. 69 Calculate the greatest common divisor of 108056 and 13. 13 What is the greatest common factor of 488 and 67954? 122 Calculate the highest common divisor of 312 and 2232. 24 Calculate the highest common divisor of 901723 and 4291. 613 What is the greatest common factor of 44344 and 44160? 184 What is the highest common factor of 23955 and 165? 15 Calculate the greatest common divisor of 3230 and 7353. 19 What is the highest common divisor of 10029 and 75? 3 What is the highest common factor of 3550856 and 16? 8 Calculate the greatest common factor of 5460 and 8268. 156 What is the greatest common divisor of 10 and 304595? 5 Calculate the greatest common factor of 10511 and 162692. 457 What is the greatest common divisor of 27000 and 8625? 375 What is the highest common divisor of 21838 and 4758? 122 What is the greatest common factor of 139 and 33916? 139 What is the greatest common factor of 550 and 2960375? 275 Calculate the greatest common divisor of 1090 and 15280. 10 Calculate the highest common divisor of 2103 and 12. 3 What is the greatest common divisor of 1170 and 1690? 130 What is the greatest common factor of 256 and 7720? 8 Calculate the highest common factor of 3563 and 91. 7 Calculate the highest common divisor of 1503515 and 195. 65 What is the highest common divisor of 4979 and 101127? 13 Calculate the greatest common divisor of 418 and 95494. 38 What is the greatest common divisor of 66915 and 3? 3 Calculate the greatest common divisor of 9317 and 28. 7 Calculate the highest common divisor of 52 and 65468. 52 What is the greatest common factor of 332 and 21162? 2 Calculate the greatest common factor of 6 and 51963. 3 What is the greatest common factor of 46 and 298678? 46 Calculate the greatest common factor of 86328 and 4752. 792 Calculat
{ "pile_set_name": "DM Mathematics" }
t derivative of -4*u**2 - 20276470*u - 75463490? -8*u - 20276470 Find the second derivative of 36843031*w**2 + 55090917*w wrt w. 73686062 Find the third derivative of -2171*j**6 + 110*j**5 + 2773005*j**2 wrt j. -260520*j**3 + 6600*j**2 Find the second derivative of 118357362*q**2 + 2*q + 85600538. 236714724 What is the third derivative of -2970572*h*n**3 - 6*h*n + 3*h + 12215*n**2 - 2 wrt n? -17823432*h Find the third derivative of 5867*n**4 + 382*n**3 + 257*n**2 - 9211*n. 140808*n + 2292 Differentiate g**4 - 205*g**3 - 142408*g**2 - 96829842 wrt g. 4*g**3 - 615*g**2 - 284816*g Differentiate 56*n*t**2 - 4*n*t - 4060*n - 13559690*t**2 wrt n. 56*t**2 - 4*t - 4060 What is the first derivative of -76*f**2*x + 58*f**2*z - 510*f*x + f*z - 8*f + 282590*x*z - 8*x + z wrt z? 58*f**2 + f + 282590*x + 1 Find the second derivative of 40*g*n**2*q**3 + g*q**3 - 1111*g*q + 530564*n**2*q**2 - 8*n**2 + n*q**3 + 15*n*q**2 - 9*q**3 + 2*q**2 wrt n. 80*g*q**3 + 1061128*q**2 - 16 What is the first derivative of 31707035*d + 10802824? 31707035 What is the second derivative of -684834485*t**3*v**3 - t**3*v - 32*t**3 - t**2*v - 2*t*v - 28*t - 35*v wrt v? -4109006910*t**3*v What is the second derivative of -651788132*d**2 - 3290*d - 8770 wrt d? -1303576264 Find the second derivative of -4*d**3 - 201651*d**2 + 7718276*d. -24*d - 403302 What is the second derivative of -9396*m**3 + 1268*m**2 - 62675027*m wrt m? -56376*m + 2536 Find the second derivative of -h**5 + 275590*h**4 - 23*h**2 + 48932087*h + 1. -20*h**3 + 3307080*h**2 - 46 What is the first derivative of 50*i**4 - 1067*i**3 - 29*i**2 + 8915348? 200*i**3 - 3201*i**2 - 58*i Find the third derivative of -7*m**3*v - 2141888*m**3 - 5*m**2*v - 13579755*v wrt m. -42*v - 12851328 Find the third derivative of 19748838*g**2*r**3 + 13*g**2*r + 3*g*r**2 - 230*g*r + 6*r**2 + 24 wrt r. 118493028*g**2 What is the derivative of 8*f**2*x - 81765810*f**2 + 2*f - 5122673*x wrt x? 8*f**2 - 5122673 Find the third derivative of 3903*b*l**6 - 94*b*l**5 - 2824*b*l**2 + 6*b*l - b - 9*l**2 wrt l. 468360*b*l**3 - 5640*b*l**2 What is the first derivative of 33*c*g**2*u**3 - 205528*c*g**2*u - g**2*u**3 - 3*g**2*u**2 - 175*g*u**2 - 39*g - 2*u**3 wrt c? 33*g**2*u**3 - 205528*g**2*u What is the third derivative of -2*o**4*w + 24*o**4 + 1185*o**3 + 8*o**2*w + 19*o**2 - 9*o*w + o + 19*w wrt o? -48*o*w + 576*o + 7110 Find the third derivative of -w**5 + 95182342*w**3 - 19*w**2 - 19*w + 27139. -60*w**2 + 571094052 What is the second derivative of 43970963*d**5 + 127809023*d wrt d? 879419260*d**3 Find the third derivative of 55130320*l**2*m**3 + 23*l**2*m**2 - 288*l**2 - 2*l*m**2 - 7*l - 4 wrt m. 330781920*l**2 What is the first derivative of -5299714*f - 25523962 wrt f? -5299714 Differentiate -s**4 + 7*s**2 + 26381*s + 1014153526 with respect to s. -4*s**3 + 14*s + 26381 Find the second derivative of -1284*g**4 + 383841*g**2 - 1229293111*g wrt g. -15408*g**2 + 767682 What is the third derivative of 2292394*k**2*x**4 + 5377*k**2*x + 37*k**2 + 7*k - x**4 - 7*x**3 + x**2 wrt x? 55017456*k**2*x - 24*x - 42 Find the first derivative of 6617*l**2*s + 44973230*l**2 - l*s**2 - 26*s**2 wrt s. 6617*l**2 - 2*l*s - 52*s Find the first derivative of -53180943*a**3*k + 42996335*a**3 wrt k. -53180943*a**3 What is the first derivative of 5804*n**2*t**2 + 574*n*t**3 - 1712950*t**3 wrt n? 11608*n*t**2 + 574*t**3 Differentiate -8799706*f*r + 367*r + 13820 wrt f. -8799706*r Differentiate 3668299*g**3 - 2*g**2 - 3*g + 217131392. 11004897*g**2 - 4*g - 3 Differentiate 92*n*q*r - 3*n*q + 65*n*r - 173*n + 56*q*r - 5*q + 8*r - 406 with respect to r. 92*n*q + 65*n + 56*q + 8 Find the second derivative of 4416041*a**5 + 419*a - 17402. 88320820*a**3 What is the second derivative of -428149249*x**2 - 355503*x + 236 wrt x? -856298498 Find the third derivative of -88*h**6*p - 50432*h**4*p - 3*h**2*p - 2*h**2 - 5679*h - 2480 wrt h. -10560*h**3*p - 1210368*h*p Find the first derivative of 314*d**3 - 3*d**2 + 16548*d + 3165760. 942*d**2 - 6*d + 16548 What is the derivative of 47*r**4 - 4*r**2 + 25*r - 18566573 wrt r? 188*r**3 - 8*r + 25 What is the second derivative of 312094*h**2*i**2*u**3 + 2*h**2*i**2 + 3*h*i**2*u - 640*h*i*u**3 + h*i + 5*i**2*u**3 wrt h? 624188*i**2*u**3 + 4*i**2 Find the third derivative of 81*n*x**4 - 2*n*x**2 + 209*n + 35841*x**5 - 32*x**2 - 23*x wrt x. 1944*n*x + 2150460*x**2 What is the third derivative of 20671*q**3*t - 116*q**3 - 2*q**2*t - 48*q**2 - 2*q*t - 76*t + 1 wrt q? 124026*t - 696 Find the first derivative of -91810666*u - 35089952. -91810666 Find the second derivative of -739*i**2*k - 4316*i**2 + 6648*i*k - 27*k + 75 wrt i. -1478*k - 8632 What is the second derivative of -779428119*t**2 - 54975024*t wrt t? -1558856238 What is the second derivative of 89612*d**3 + 2561164*d wrt d? 537672*d Find the second derivative of -311*a**4 + 45*a**3*x - 103*a**2*x - 9*a*x - 9668*a + 1 wrt a. -3732*a**2 + 270*a*x - 206*x What is the third derivative of -622516*w**3*z + 16*w**3 + 2*w**2 + 1655*z - 1 wrt w? -3735096*z + 96 What is the derivative of 237921*w**2 + 18*w + 42547290? 475842*w + 18 What is the first derivative of 218499*h**2 + 49*h - 258080730 wrt h? 436998*h + 49 What is the third derivative of 266271122*s**3 + 13*s**2 + 9993198? 1597626732 Find the third derivative of -6288713*b**2*j*w**4 + b**2*j*w**3 + 93*b**2*j*w**2 - 46*b**2*j*w - 2*b**2*w - b**2 + 2*j - w**2 wrt w. -150929112*b**2*j*w + 6*b**2*j Differentiate -199345156*j - 199047973. -199345156 Find the third derivative of -555331*o**5*z**2 + 37*o**3*z**3 - 39*o**2*z**3 + o*z + 163*z**3 + 347 wrt o. -33319860*o**2*z**2 + 222*z**3 Find the third derivative of 136486368*i**3 + 157217429*i**2. 818918208 Find the second derivative of 456*n**5 + 9502*n**4 - 4*n**3 + 151589297*n wrt n. 9120*n**3 + 114024*n**2 - 24*n Differentiate 4485954*z + 5478424 with respect to z. 4485954 Find the first derivative of 140*k**4 + 2672*k**3 - 8*k**2 - 17919476 wrt k. 560*k**3 + 8016*k**2 - 16*k Differentiate 9601*h*o*p - 2*h*o + 916*h*p**2 + 44326298*h wrt p. 9601*h*o + 1832*h*p Find the third derivative of -28*y**6 + 1037208*y**3 - 271388815*y**2. -3360*y**3 + 6223248 Differentiate -2*k**4 - 4*k**3 - 67741*k**2 + 7310386. -8*k**3 - 12*k**2 - 135482*k Differentiate 13*o*v + 27844748*o - 5543*v with respect to v. 13*o - 5543 What is the derivative of -206*a*l**3*p**2 + 4*a*l**3*u + 7534*a*l + 2*a*u + 9*l**3*p + l**3*u + 3*l + 372*p*u - 5*u wrt p? -412*a*l**3*p + 9*l**3 + 372*u Find the second derivative of 5078*j**2*y**3 + 1230*j**2 - 3810*j*y**2 + 3*j*y - 4*y**3 + 2*y - 9 wrt j. 10156*y**3 + 2460 Find the second derivative of 10679207*t**4 + 16790852*t. 128150484*t**2 What is the derivative of 70415761*h**3*s - 1352*h**3 - 1957*h - 1 wrt s? 70415761*h**3 Find the second derivative of -2229275*m**4 - 3*m**3 + 390577*m - 46. -26751300*m**2 - 18*m Find the third derivative of 364*v*y**3 - 4129*v*y + 13739*y**3 + 7039*y**2 wrt y. 2184*v + 82434 Find the second derivative of 3*m**3*q**2 - 1409*m**2*q**3 - 3226*m**2*q + 13594156*m*q**3 + 15*m*q**2 wrt m. 18*m*q**2 - 2818*q**3 - 6452*q Differentiate -11580516*h*z - 245356231*h with respect to z. -11580516*h What is the third derivative of 18910987*i**5*s**3 + 18*i**2 - 796390*s**3 wrt i? 1134659220*i**2*s**3 What is the second derivative of 4475*b**3*d - 129*b**3 - 2*b**2*d + 342611367*b*d wrt b? 26850*b*d - 774*b - 4*d What is the second derivative of -5379658*d**2 - 98865*d? -10759316 Find the third derivative of 226*h**6 - 284598*h**3 + 2512*h**2 - 42687*h wrt h. 27120*h**3 - 1707588 Find the third derivative of 3*w**4 - 6065*w**3 - w**2 + w - 2210447. 72*w - 36390 What is the first derivative of 45880937*m*o**3 + 23*o**3 - 2173*o**2 + 3*o + 1 wrt m? 45880937*o**3 Find the second derivative of -556*u**3 + 2609*u**2 + 2677734*u wrt u. -3336*u + 5218 What is the third derivative of 2400*c**6 - 3297*c**5 + c**2 - 16649517 wrt c? 288000*c**3 - 197820*c**2 What is the second derivative of -3669727*f**2 + 2373*f + 355 wrt f? -7339454 Find the third derivative of 140*d**6*h + 38786*d**3*h*q**2 + 159*d**2*h*q**2 - 3*d**2*h - 835*d**2*q**2 - d + q**2 wrt d. 16800*d**3*h + 232716*h*q**2 What is the third derivative of 26065*d**6 - 2*d**3*t - 306*d**3 - 718*d**2*t - 11*d**
{ "pile_set_name": "DM Mathematics" }
of 2*j**5 - 375*j**4 - 25*j**2. 120*j**2 - 9000*j What is the third derivative of p**2*s**4 + p**2*s - 8*p*s**2 + 82*s**4 - s**2 wrt s? 24*p**2*s + 1968*s Find the second derivative of -261*m**2 - 74*m + 1 wrt m. -522 What is the first derivative of 647*q**2 + 380? 1294*q What is the second derivative of -136*b**3 + b + 50? -816*b What is the second derivative of -r**3 - 580*r**2 + 1343*r? -6*r - 1160 Find the third derivative of -5*j**3*t**5 - j**3 + 17*j**2*t**2 - 42*t**5 + t wrt t. -300*j**3*t**2 - 2520*t**2 Find the second derivative of 5*t**3*x**3*z**3 - 12*t**3 + 3*t**2*x + 30*t*x**3*z**3 - x**3*z wrt z. 30*t**3*x**3*z + 180*t*x**3*z Find the third derivative of -18*i*w**5 + 2*i*w**4 - 5*i*w**2 + i - w**4 + 7*w wrt w. -1080*i*w**2 + 48*i*w - 24*w What is the derivative of -k*s**2 + 2*k*u - 9*k - 4041*s**2*u + 47*s**2 wrt u? 2*k - 4041*s**2 What is the third derivative of -2*j*k**3*w**3 + 18*j*k**3*w**2 - 5*j*k**2*w**2 + j*w**3 + 2*k**2*w wrt k? -12*j*w**3 + 108*j*w**2 What is the derivative of -20*y**3 - 7*y**2 + 4*y + 17403? -60*y**2 - 14*y + 4 What is the third derivative of -2*c**6 - 13*c**4*f - 9*c**2 + 93*f wrt c? -240*c**3 - 312*c*f What is the first derivative of k**2*y - 74*k**2 - 3*k*y**2 + 7*y**2 wrt y? k**2 - 6*k*y + 14*y What is the second derivative of -8*c**3*y**3 - 2*c**3*y + 15*c*y**5 + 2*c + 196*y wrt y? -48*c**3*y + 300*c*y**3 Find the second derivative of 63*m**2 + 2*m - 23 wrt m. 126 What is the third derivative of -19*i**2*y**3 + i**2*y**2 + 3*i**2 + 4*i*y**4 - 31*i*y**2 wrt y? -114*i**2 + 96*i*y What is the second derivative of -f*i**2*o**2 - 2*f*i**2 + 5*f*o**3 + 21*f*o + 3*o**4 + 2*o wrt o? -2*f*i**2 + 30*f*o + 36*o**2 What is the second derivative of -103*c**5 - c**3 + 145*c wrt c? -2060*c**3 - 6*c What is the second derivative of 8*g**3*v**3 + 22*g**3*v + 3*g**2*v**2 + g*v**3 + 2*g*v**2 + 34*g wrt g? 48*g*v**3 + 132*g*v + 6*v**2 What is the derivative of r**3*v*x + 2*r**3*v + r**3*x + 3*r*v*x + 73*x wrt v? r**3*x + 2*r**3 + 3*r*x What is the second derivative of -876*t**2 - 2348*t? -1752 What is the derivative of h**2 + 7024*h + 50 wrt h? 2*h + 7024 Find the second derivative of -4483*i**2*j**2 - 2*i*j**2 - 390*i wrt i. -8966*j**2 What is the first derivative of -1587*q**3 + 1165 wrt q? -4761*q**2 What is the first derivative of -1234*h**2 + 2859 wrt h? -2468*h Find the second derivative of 26*h*m*s**3 + h*m*s**2 + 2*h*m*s + h*s + 7*h + 3*s**3 wrt s. 156*h*m*s + 2*h*m + 18*s Find the second derivative of -5*k**3*u + 8*k**3 - k**2*u - 419*k*u - k - 2*u - 2 wrt k. -30*k*u + 48*k - 2*u What is the second derivative of 2*l**2*r**5 - 434*l**2*r**4 + 278*l**2*r - 3*l*r wrt r? 40*l**2*r**3 - 5208*l**2*r**2 Differentiate 389*z**2 + 128 with respect to z. 778*z What is the second derivative of -388*k**2 - 27*k - 4 wrt k? -776 Find the second derivative of 571*i**3*x**4 + i**3*x + 9*i**3 + i**2*x**4 - 6*i wrt x. 6852*i**3*x**2 + 12*i**2*x**2 Find the third derivative of 2*v**5 - 238*v**3 + 3460*v**2. 120*v**2 - 1428 Find the third derivative of 21*g*i**4 - 3*g*i**3 - g*i**2 - 2*i**3 + i**2 - 2*i wrt i. 504*g*i - 18*g - 12 What is the third derivative of -142*o**4 + 7*o**3 + 7539*o**2 - o wrt o? -3408*o + 42 What is the derivative of 3*w**4 - 28*w**3 - 1042? 12*w**3 - 84*w**2 What is the third derivative of -6515*y**6 - 132*y**2 + y - 4 wrt y? -781800*y**3 Find the second derivative of -3*c**4 - 113*c**3*j**3 - 23*c*j**3 - c + 8*j**3 wrt c. -36*c**2 - 678*c*j**3 Find the third derivative of -4*z**6 + 963*z**5 + 2*z**3 + z**2 + 84*z - 5 wrt z. -480*z**3 + 57780*z**2 + 12 What is the third derivative of -143*z**3 - 15*z**2 - 2? -858 Differentiate -h**2 - 5396*h + 4508 with respect to h. -2*h - 5396 What is the second derivative of -712*i**2 - i + 189? -1424 What is the second derivative of -2*i**4*q + 2*i**4 - 2*i**3 - 60*i*q + 2*q wrt i? -24*i**2*q + 24*i**2 - 12*i Find the second derivative of 81*k**2*r**2*v**2 - k**2*r + 3*k*r**2*v**2 + 17*k*r**2*v - 10*r*v + 2 wrt v. 162*k**2*r**2 + 6*k*r**2 What is the first derivative of -295*x**3 + 193? -885*x**2 Differentiate -2*b**2*f**2 + 34*b**2*f + 73*b**2 - 6*b - 19*f**2 - 3*f + 2 wrt f. -4*b**2*f + 34*b**2 - 38*f - 3 What is the second derivative of -113*g**2 + 10*g - 2? -226 What is the third derivative of -799*v**3 + v**2 - 167? -4794 Find the first derivative of 449*n**3*o + 81*n**3 wrt o. 449*n**3 What is the third derivative of 2*a**3*q**4 - 2*a**3*q**2*r + a**2*q**3*r - 3*a*q**2*r - 180*q**4 + 51*r wrt q? 48*a**3*q + 6*a**2*r - 4320*q What is the third derivative of -2*g*n**4 + g + 104*n**6 - 4*n**2 + 17*n + 2 wrt n? -48*g*n + 12480*n**3 Find the second derivative of -2253*n**2 - 49*n + 2 wrt n. -4506 What is the third derivative of 2*f**4 + 310*f**3 - 2*f**2 - 2*f + 1272? 48*f + 1860 What is the second derivative of 11532*i**3 - 4*i + 564 wrt i? 69192*i Find the first derivative of 34*h**3 - 4*h**2 + 4*h - 2129. 102*h**2 - 8*h + 4 What is the derivative of 4*h**2 - 18*h - 560 wrt h? 8*h - 18 Find the third derivative of 9160*q**4 - 238*q**2 - 3*q wrt q. 219840*q What is the second derivative of 838*g**5 + 73*g + 2 wrt g? 16760*g**3 Find the third derivative of -4*t*v**4 - 5259*t*v**2 + 8*v**4 + 35*v**3 - 2*v**2 wrt v. -96*t*v + 192*v + 210 What is the third derivative of 24*f**5 + 3*f**4*s - 13*f**2*s - 2*f**2 - 3*s wrt f? 1440*f**2 + 72*f*s Find the first derivative of 2*o**4 - 58*o**3 - 2*o + 773. 8*o**3 - 174*o**2 - 2 Find the third derivative of 11838*m**6 + 2*m**4 + 6985*m**2 + m wrt m. 1420560*m**3 + 48*m What is the third derivative of 7222*p**3*t**2 + 124*p**2 + 3*t**2 wrt p? 43332*t**2 What is the second derivative of 5*a*h**2*v + 2*a*h**2 - 25*a*h*v - 2*a*h + 3*h*v - 2*h wrt h? 10*a*v + 4*a What is the second derivative of 222*n**4 + 573*n? 2664*n**2 What is the second derivative of -193*r**3 - 4*r**2 - 515*r wrt r? -1158*r - 8 Differentiate -2*k*t**3*y + 21*k*t**2*z + k*t - 4*t**3*y*z - 26*t*y - 4*t + 2*y*z with respect to z. 21*k*t**2 - 4*t**3*y + 2*y What is the first derivative of 93*d**4 + 2*d**2 - 37 wrt d? 372*d**3 + 4*d Find the third derivative of 81*d**3*v**2*y - d**3*v**2 + 30*d**3*v*y + 15*d**2*v**2*y - 19*d**2*v**2 + 2*d**2*y - v**2*y wrt d. 486*v**2*y - 6*v**2 + 180*v*y Differentiate -25*n**4*z + 3*z + 22 wrt n. -100*n**3*z What is the second derivative of -4*f**4 - 97*f**2 - 715*f? -48*f**2 - 194 Find the second derivative of -354*a**4 + a**3 + 3531*a. -4248*a**2 + 6*a Find the first derivative of -508*d - 72. -508 What is the second derivative of g**2*q**3 + 28*g**2 - 2*g*q**3 + g*q + 118*q**3 wrt g? 2*q**3 + 56 Find the third derivative of 4*b*c**2*g**3 - 28*b*c*g**2 - 2*b*g**2 + 2*b*g - 2*c**2*g**3 - c**2 + 36*g**3 - 3*g**2 wrt g. 24*b*c**2 - 12*c**2 + 216 What is the second derivative of 75*m**2*y - 52*m - y wrt m? 150*y What is the first derivative of -9*i**2*n*v - 64*i**2*n*x**3 - 2*i**2*n*x**2 - 2*i**2*x - i*n*v + 2*i*n*x + 4*v*x**3 wrt v? -9*i**2*n - i*n + 4*x**3 Differentiate 5*n**2*p**4 - 8*n**2*p + 32*n**2 with respect to p. 20*n**2*p**3 - 8*n**2 What is the second derivative of -103*r**2 - 9*r? -206 Differentiate -m*u**3 + 2*m*u**2 + m - 73*u**3 - 105 with respect to u. -3*m*u**2 + 4*m*u - 219*u**2 Find the third derivative of -13991*v**6 + 5774*v**2. -1678920*v**3 What is the second derivative of 3*d**3*k**2 - 2*d**3*k + 317*d**2*k**2 - 12*d**2 wrt k? 6*d**3 + 634*d**2 What is the third derivative of 4*m**3*x**2 - 9*m**3 + m**2 - 30*m*x**2 - 2 wrt m? 24*x**2 - 54 What is the third derivative of -z**6 + 4833*z**4 - 9550*z**2 + 2? -120*z**3 + 115992*z Differentiate 11*b**2*f*z + b**2*f - 2*b*f**2*z - 228*f**2 - f*z wrt b. 22*b*f*z + 2*b*f - 2*f**2*z Find the second derivative of -862*g**2*o**2 + g**2*o - 20*g**2 - 8*g*o + 2*g - 6*o**3 wrt o. -1724*g**2 - 36*o Differentiate 2*q**2 + 24*q + 735 with respect to q. 4*q + 24 Find the first derivative of -38*i**4 + i + 167. -152*i**3 + 1 Differentiate -6404*n**2*p**2 - n**2*p - 8*n**2 - n - 2*p + 6 with respect to p. -12808*n**2*p - n**2 - 2 Find the third derivative of 5*m**4*s**2 + m**4*s + 3*m**3*s*t - 10*m**2*s**2*t + 2*m**2 - 2*m*s**2*t - s**2*t wrt m. 120*m*s**2 + 24*m*s + 18*s*t What is the third derivative of -235*m**3 - 108*m**2 - 2? -1410 What is the second derivative of 2*c*y
{ "pile_set_name": "DM Mathematics" }
? -0.03 Let c = 0 + 2. Let h = -8 - -8.1. Let q = 0.0173 + -2.0173. What is the nearest to h in q, c, -1/5? -1/5 Let k be 6/(-16) + (-6)/(-20)*5565/1908. Which is the nearest to k? (a) 0 (b) -1/2 (c) -204 a Let t = 2.912 + 0.088. Let m be (4/5)/((-148)/740). Which is the closest to 4? (a) m (b) t (c) -3 b Let w = 2660 + -2647. What is the nearest to -2/5 in -3/4, -17, w? -3/4 Let u = -270 + 264. What is the closest to -1 in u, -1/5, -1, 12/17? -1 Let x be (3 - 93/5)*((-325)/(-10))/13. Which is the closest to -3? (a) x (b) 2/9 (c) -0.3 c Let p = 2594 - 2590. Which is the closest to -18? (a) 0.2 (b) p (c) -3/7 (d) 0.3 c Let r = 7.573 + -7.073. Which is the closest to 0? (a) -12 (b) r (c) 7 b Let o = -685 - -3423/5. What is the nearest to o in -2/5, 2/5, -27? -2/5 Let c(o) = 7 - 20*o + 2*o**2 + 37*o + 6 - 3*o**2. Let p be c(18). What is the nearest to 1 in 16, p, 5? 5 Suppose 13*u = -11*u + 72. Suppose 8 = -2*q + u*w - 5*w, -4*q + 2*w = -14. Which is the nearest to 3/8? (a) -1 (b) q (c) 0.1 c Let o = -827/282 + 130/47. Let p = 224/1035 - -2/345. Which is the nearest to -1? (a) o (b) -1.4 (c) p b Let g(b) = -3*b**2 + 11*b + 7. Let o be 9/(-6) + 132/24. Let q be g(o). What is the closest to q in -19, 0.1, 0.2? 0.2 Let n = -0.04682 + -0.05218. Which is the nearest to -1/2? (a) -0.3 (b) n (c) -0.1 a Let d = -8 - -9.5. Let p = 74.954 - 74.654. Which is the nearest to d? (a) -4 (b) p (c) -2/5 b Suppose -74*j = -80*j. Let p be j + -3 + 4/((-304)/(-220)). Let g be 6/(-14)*(-12)/9. What is the nearest to 1 in p, g, -1/4? g Let p = 27 + -16. Let i = p - 11.2. Let j = -234 + 467/2. Which is the nearest to -2? (a) 3 (b) i (c) j c Let i(f) = f + 7. Let z be i(-6). Let y = 37.81 - 38.31. Which is the closest to z? (a) 5 (b) 4/7 (c) y b Let n = -2.5653 + -1.4347. Which is the nearest to -1.2? (a) n (b) -5 (c) 15/8 a Let s = 197858/21 + -9422. What is the nearest to s in 2, 1, 7, 0? 0 Let w = 1/3437 - -6865/30933. What is the closest to 1 in w, -0.17, 0.11? w Suppose -1074*m + 623*m - 942*m - 5572 = 0. Let t = 3.99 - -0.01. Let r = -4 + t. What is the nearest to -0.4 in m, r, -3/8? -3/8 Let r = 9 - 4. Let n be (-916)/(-112) + -8 - (-42)/(-98). Which is the nearest to n? (a) 0.2 (b) r (c) 1/2 a Let p = 9.6 - 12.6. Suppose -4 = 3*j + 5. Let y be (1 - (j + 1)) + -4. Which is the nearest to -1? (a) p (b) 0.5 (c) y c Let c be (2 - 2) + -1 - -1. Let s = -1199/30 - -235/6. What is the nearest to c in s, -17, 4? s Let b(k) = k**3 - 9*k**2 + 8*k - 3. Let m be b(7). Let x be (m/(-10))/(-9)*10/3. What is the nearest to -0.1 in x, 3, -34/7? x Let r = 3426 + -3424. What is the closest to r in 4, 1, 11, 8? 1 Let l be (-1 - (-2)/(-2))/((-3899)/(-1114)). Which is the closest to 0? (a) l (b) 3.5 (c) -2/3 a Let w be (2/60)/((4 + (-580)/150)*6). Let k be -3 + 5 + 50/(-22). Let p = k + 32/77. Which is the closest to -1? (a) -4 (b) w (c) p b Let s = 1/11841 + -1316/3947. Which is the nearest to 6? (a) s (b) -4 (c) -2/9 (d) -4/3 c Let i = -5 - -77/15. Let k = -91543 - -366173/4. Let n = 8 - 4. What is the closest to -0.05 in i, k, n? i Suppose -4*n - 17 = -3*n. Let y = 0.3 - 1.3. Let x = -1680.1 + 1676.1. Which is the nearest to y? (a) 2/5 (b) n (c) x a Let g = 0.0237 - 417.0237. Let n = g - -417.4. Which is the closest to -2? (a) -13 (b) n (c) -5 (d) 0.1 d Let g be (0 - -2 - 2) + 13/(-65). What is the nearest to -2 in -1/6, 12, -0.1, g? g Let m = 6374 + -133856/21. Which is the nearest to -3.2? (a) -0.2 (b) 0 (c) 1 (d) m a Let v = 3 - 3.3. Let o = 0.01 + -3.01. Let i = -12063 - -12062.6. What is the closest to o in v, -1/4, i? i Let a = 31/120 - 2/15. Let o be (2 - -3)*(-84)/210. What is the nearest to o in a, -3, 0.03? -3 Suppose -l - 18 = 4*t + t, -5*t = 2*l + 11. Suppose 3*i - l = -2*g, -5*g + 12 = -23*i + 25*i. What is the closest to i in 2/13, -0.1, 0.1? 2/13 Let g = -47 - -47.69. Let y = -383 + 382.71. Let t = g + y. What is the closest to 0.6 in t, -5, -2? t Let o = 44041 + -44037. Let r = -13/4 - -133/36. Which is the closest to -2? (a) r (b) o (c) 5 a Let b = 3584 - 3583. What is the closest to b in 5, -11, -0.3, -0.03? -0.03 Let l = -2922.9 - -2923.1. Which is the closest to -104? (a) l (b) -0.1 (c) 6 b Let m = 1.6689 + -1.4809. Which is the nearest to 0.1? (a) -5 (b) -11 (c) m c Suppose -3 = d - 6. Suppose -1 = -5*g + d*p + 1, -p = 5*g - 6. Let o = -34962 + 34957. Which is the closest to g? (a) o (b) -0.3 (c) 0 c Let q be ((-24)/(-39))/4*(-4)/(-4). Let w = -2.506 + 2.606. What is the nearest to w in -1, 1, q, -7? q Let d = -0.072 - -0.015. Let l = -0.733 - -0.376. Let y = d - l. What is the closest to 2/3 in 1, 1/6, y? 1 Let p = -0.1 - 0.2. Let o = -13 - -9. Let v be (-2)/(-25)*(32 - 37). Which is the closest to v? (a) o (b) -2/21 (c) p c Let m = 367/1448 - 5/1448. What is the closest to m in 12, -1, -2? -1 Suppose 4*w + 2*n = -n + 1, -3*w + 5*n = -37. Let m = 0.023 - 0.183. Let p be (-50)/48 - 2/(-3). What is the closest to -0.1 in m, w, p? m Let s = 14.64 - 15.64. What is the nearest to s in 0.033, 0.2, -2/7, -0.2? -2/7 Let m be -2 + 11/8 + 9/72*6. What is the closest to m in 17, 0, 4? 0 Let q = 0.487 + -40.787. Let x = q - -42. Let d = x + -2.1. Which is the closest to -4? (a) 1/2 (b) -2 (c) d b Let o = -124.9 - -122.9. Which is the closest to -2? (a) o (b) 2 (c) 1/15 (d) 1/3 a Let y = -30467.333 - -30480. Let p = y + 0.333. What is the closest to p in -2, -5, 2/9? 2/9 Let q = 9705 + -572591/59. What is the nearest to 0 in -0.4, -1, q? q Let v = 142 - 76. Let p = v - 26. Let z = -41 + p. What is the nearest to z in -3, 4, -0.07? -0.07 Let a = 3165 + -3167. What is the nearest to -3 in 3, a, 4/7, -13? a Let g = 3809 + -3814. What is the nearest to 1/2 in g, 0.02, -2/7, -3/2? 0.02 Let j = 6.735 + 0.265. Let v(u) = u**2 + 1. Let n be v(-2). Let i = -4508 + 4507. What is the nearest to j in i, n, 0? n Suppose 241 = 5*y - 244. Suppose 5*c + 12 = y. Suppose -c*h - 4 = -18*h. What is the closest to 2/5 in 3, -0.03, h? -0.03 Let y = -4.552 + 2.552. What is the closest to y in 0.12, 3, 5, 1/2? 0.12 Let p = 2.03 - 0.03. Let l be 39/1053*306/(-34). Let x = 18 - 25. Which is the nearest to l? (a) 0.3 (b) x (c) p a Let b = 212361701 + -602682525881/2838. Let n = 211/33 + b. Let f = n + 397/2150. What is the nearest to 3/7 in f, 0.1, -0.3? 0.1 Let g = 49 + -48.6. Which is the nearest to -9? (a) -8 (b) 3 (c) g a Let n be 46/(-40) + 105/140. What is the nearest to -0.12 in n, -2/9, 4, -6? -2/9 Let z = 0.09 + 0.41. Let t = -0.1 - -0.3. Let k = 1.0677 - 5.0677. Which is the nearest to k? (a) t (b) z (c) 5 a Let n(y) = y**2 + 44*y + 18. Let s be n(0). Let r = -178 - -177.7. Which is the nearest to r? (a) s (b) 0.3 (c) 0.1 c Let x(m) = m**2 + 9*m + 9. Let h be x(-7). Suppose 7*u - 27*u + 1120 = 0. Suppose -u + 106 = 10*i. Which is the closest to 0.1? (a) i (b) -0.4 (c) h b Let q(r) = -2*r**3 - 16*r**2 - 19*r + 7. Let o be q(-11). Suppose -o*y = -936*y + 18. Let g = 9 + -10. Which is the closest to 2? (a) -0.4 (b) g (c) y a Let o = -51/76 - -8/19. Let u(k) = -18*k**2 + 3*k + 6. Let t be u(-2). Let h be (7/2 - t/48) + -5. Which is the closest to -0.06? (a) -4 (b) o (c) h c Let f = 2.5 + -1.5. Let i = 1/15 + 8/105. Let d = -7.06 + 6.76. Which is the closest to i? (a) f (b) 4 (c) d c Let l = 59 + -119/2. Which is the nearest to l? (a) 2 (b) -5 (c) -253 (d) 1 d Suppose -2*x + 3 = -3*x. Let j = 316 + -340.9. Let y = j - -26. Which is the nearest to -0.1? (a) x (b) -0.5 (c) y b Let w(v) = -6*v + 145. Let r be w(24). Let t be 11/(-44) + r/(-4). What is the closest to 1 in t, 4/11, 2? 4/11 Suppose 0 = 2*z - 178*z + 462 + 242. What is the nearest to 2 in -5/3, z, -2? z Let u be 22/473 - 232/1290. Which is the closest to 6? (a) u (b) 0.06 (c) -1/5 (d) -0.03 b Let l = -783.6 + 591.6. What is the closest to 0 in -4, 1, l? 1 Suppose -10*l + 2*v = -7*l + 13, -17 = -3*l - 4*v. Let d = 7 - 11. What is the closest to d in -5, l, 0.2? -5 Let v = -10.067 - -0.067. Let q = 10.1 + v. Suppose -3*d = -45 + 12. Which is the nearest to q? (a) -4 (b) d (c) 0 c Let s be 14 + (11 - (-918)/(-36)). Which is the nearest to s? (a) 1 (b) -0.4 (c) 0.2 (d) 35 b Let q = 216934 - 216933.9. Let m
{ "pile_set_name": "DM Mathematics" }
48 Let i = 305887.5637 - 305905. Let n = -0.5609 + i. Let g = -18 - n. What is g rounded to 3 decimal places? -0.003 Suppose 4 = 3*n - 11. Suppose 2*d + 4*y - 64 = 0, -n*d + y = -221 + 28. Round d to the nearest ten. 40 Let c = -54550 + -340450. What is c rounded to the nearest 100000? -400000 Let x = -85.9818 - -86. What is x rounded to one decimal place? 0 Let h = 13 + -9. Suppose -q + h*q - 3*o - 3783 = 0, -4*q = -2*o - 5036. Suppose 3543 + q = z. What is z rounded to the nearest one thousand? 5000 Let u = -0.081 - -2.681. Let h = u + -2.60246. What is h rounded to 4 decimal places? -0.0025 Let s = 60805.963 - 60868. Let f = s + 62. Let b = f - -0.03700105. What is b rounded to 7 decimal places? 0.0000011 Let b(o) be the third derivative of 14999*o**5/60 + o**4/6 - 2*o**3/3 - 9*o**2. Let n be b(2). Round n to the nearest one hundred thousand. 100000 Let x be (-162)/(-5) + (-6)/15. Let m be (24625/4)/((-1)/x). Round m to the nearest 10000. -200000 Let d = 1191.8035303 + -0.1725303. Let f = d - 1191. What is f rounded to 1 dp? 0.6 Let k be ((-37)/(-3))/(5/(-30)). Let y(p) = -p**2 + 22*p - 42. Let t be y(22). Let j = k - t. What is j rounded to the nearest ten? -30 Let k = 1268 + -1268.006208. Round k to 4 dps. -0.0062 Let j = -8 - -28. Let z = 20.00176 - j. Round z to 4 dps. 0.0018 Let w(l) = -234*l**2 - 22*l - 88. Let f be w(-7). What is f rounded to the nearest 1000? -11000 Let z(f) = -f**3 - 5*f**2 + 5*f - 5. Let n be z(-6). Let p(t) = -3*t**2 + 2*t**2 + 33*t**3 - 154*t**3. Let c be p(n). Round c to the nearest ten. -120 Let f = -456545248.9999997 + 456545306. Let s = 57 - f. Round s to 6 dps. 0 Let w = -36.6 - -37.169. Let i = w - 0.059. What is i rounded to 1 decimal place? 0.5 Let s be (-13 - (-29766)/(-18))*-225. Round s to the nearest 1000000. 0 Let r = -31.336 - -20.553. Round r to the nearest integer. -11 Let r = 633.6 + -565. Let v = -68.42967 + r. Let s = -0.17 + v. Round s to 4 dps. 0.0003 Let p be ((-40)/15)/(2/(-6)). Suppose -4*u + p*u - 8 = 0. Suppose -11 = -u*b + 13. What is b rounded to the nearest 10? 10 Let d = -2 + 5. Suppose d*h - 5 = 10. Suppose 3*u - 7500005 = -h*c - 2*u, 4*c - 3*u = 5999997. Round c to the nearest 1000000. 2000000 Let g = -5682.63589722 - -5684.7059. Let j = g + -2.07. What is j rounded to seven dps? 0.0000028 Let h = 0.65 + -0.6499065. What is h rounded to five dps? 0.00009 Let m = -1.8695 - -0.1955. Let k = m + -0.058. Let s = k + 1.59. Round s to two decimal places. -0.14 Let i(o) be the first derivative of -22*o**3/3 - o**2/2 + 6*o - 7. Suppose -20*m = -17*m + 18. Let a be i(m). What is a rounded to the nearest 100? -800 Let j = 2780050 - 2780045.599987. Let d = -4.4 + j. What is d rounded to five dps? 0.00001 Let i = 205.083 + -0.823. Let o = -2.26 + i. Let c = 202.00226 - o. What is c rounded to four dps? 0.0023 Let d = -1.3090696 - -0.0090693. Let k = -32.3 + 31. Let s = d - k. Round s to 7 dps. -0.0000003 Let l = -19.56 - -17.6619. Let h = 264.9 + -263. Let z = h + l. Round z to four decimal places. 0.0019 Suppose 0 = -5*y - 3*r + 8310009, -3*r = 4*y - 0*y - 6648009. Round y to the nearest one hundred thousand. 1700000 Let j = 998.0000017 - 998. What is j rounded to 6 decimal places? 0.000002 Let j = 0.1817 + 7.6483. Let i = -0.17 - j. Let q = i + 7.999975. Round q to five decimal places. -0.00003 Let w = -21585.01 - -21771. Let z = -181 + w. Let h = z + -5. What is h rounded to 1 decimal place? 0 Let b be (-2)/7 - (-4 + 145879948/(-14)). What is b rounded to the nearest one million? 10000000 Let j(o) = 2*o**3 - 12*o**2 + 21*o + 105. Let v be j(-15). What is v rounded to the nearest one thousand? -10000 Suppose -7038214 - 5561786 = 6*n. What is n rounded to the nearest one hundred thousand? -2100000 Let z = -7119 - 6628. Let q = 13757.9928 + z. Let o = 11 - q. What is o rounded to 3 dps? 0.007 Let w = -8 + 7.84. Let d = w - -0.244. Round d to two decimal places. 0.08 Let n = 1513 + -1428.79. Let z = -0.21 + n. Let g = -84.0000099 + z. What is g rounded to six dps? -0.00001 Suppose t = 3*f - 22 - 15, 4*t - 20 = -2*f. Let p be (-36)/(0 - f/(-8)). Round p to 0 decimal places. -24 Suppose -l - j = -2*j - 100, -5*l + j + 484 = 0. Suppose 0 = -5*t + t - l. Let d be 2*100*t*20. What is d rounded to the nearest 10000? -100000 Let t = 29294681203 + -29294680804.99999458. Let f = t + -398. Round f to six decimal places. 0.000005 Let b be (-2 + 1 + 1)/2. Let d be ((b - -1) + 14319)*-1250. Round d to the nearest one million. -18000000 Let o = -8.0214086537 - -0.0214088337. Let u = 21 - 13. Let w = o + u. What is w rounded to seven dps? 0.0000002 Let o(d) = d**3 + 5*d**2 - 7*d + 1. Let t be o(-6). Suppose t*u = 963476 + 156524. What is u rounded to the nearest 100000? 200000 Let g be (-349200003)/(-3) + (1 - 2). What is g rounded to the nearest 1000000? 116000000 Let a = -98 - -98.004. Let i = 0.0039725 - a. Round i to six dps. -0.000028 Let z(t) = -13 - 8 - 11*t - 39*t. Let o be z(16). Let l = o + 11. Round l to the nearest 100. -800 Let j = 36.699681 + -36.7. Round j to five decimal places. -0.00032 Let b = 128 + -90. Let m = b - 38.068. Let f = m + 0.0680047. Round f to six decimal places. 0.000005 Let u = 969 + -968.9997738. What is u rounded to 5 decimal places? 0.00023 Let r(o) = -3*o - 27. Let i be r(-12). Suppose 10*d - i*d = 1210000. Round d to the nearest one hundred thousand. 1200000 Let u = -3445.99993778 + 3446. What is u rounded to five dps? 0.00006 Let i(r) = 248*r**3 + r**2 - 5*r + 3. Let t be 2/(-8) + 39/12. Let h be i(t). Let n = -15893 + h. Round n to the nearest one thousand. -9000 Let t = 1867817 - 3425817. Round t to the nearest one hundred thousand. -1600000 Let j = 0.1728 + -0.506. Let f = j - -0.34. What is f rounded to 3 decimal places? 0.007 Let r be (8 - 20/10)/(2/(-139)). Let f(k) = 8*k**2 + k - 7. Let o be f(5). Let x = o + r. Round x to the nearest ten. -220 Let b = -365 - -364.3326. What is b rounded to one dp? -0.7 Let x(h) be the third derivative of 1167*h**4/4 + h**3 - 18*h**2. Let m be x(-3). Round m to the nearest ten thousand. -20000 Let d = 572 - 665.7. What is d rounded to the nearest 10? -90 Let d = 17.6637 - 16.783. Round d to 1 dp. 0.9 Let w = 13.4 + -14.28. Let s = w - -0.862. Round s to three decimal places. -0.018 Let l = -2475.064688 + 2475. Let d = l + 0.065. What is d rounded to 5 dps? 0.00031 Let q = -36.6203793 + 36.62. Round q to 4 decimal places. -0.0004 Let o = 470 + -509.6. Let y = o - -76.9. Round y to the nearest integer. 37 Let q = -0.18 + 0.2. Let p = 0.246792 + -0.2667986. Let n = q + p. What is n rounded to six dps? -0.000007 Let v = 4312.9 + -4051. Let x = v + -249. Round x to the nearest integer. 13 Let k = 0.9356 - 5.2343. Let t = k - -4.3. What is t rounded to 3 decimal places? 0.001 Let b = -49 + 53.9. Let z = b - -1.1. Let m = -6.001 + z. Round m to three dps. -0.001 Let h = -0.163 - -0.325. Let k = -0.161863 + h. Round k to five decimal places. 0.00014 Let a = 0.06 - 109.06. Let r = -110.96 - a. Let b = -2.2 - r. Round b to 1 decimal place. -0.2 Let x = 99 + -96. Let n = -15.5 + x. What is n rounded to the nearest integer? -13 Let z = 3.292 - 2.277. What is z rounded to one decimal place? 1 Let a = 2.42428 + -2.482. Round a to two dps. -0.06 Let b = 0.0077 - 0.1764. Round b to 2 decimal places. -0.17 Let w = -18 + 81. Let p = w - 62.917. Let r = -0.08299963 + p. What is r rounded to 7 dps? 0.0000004 Let a = 957 - 955.005. Let g = a - 1.9. Let u = g - 0.15. Round u to two dps. -0.06 Let s = -539 + 142. Let g = s - -396.9999747. Round g to 5 dps. -0.00003 Let x(v) be the third derivative of -299*v**5/60 - v**3/6 - v**2. Let w = 6 + -7. Let i be x(w). What is i rounded to the nearest 100? -300 Let y = -0.1532 - -0.153199425. What is y rounded to 7 decimal places? -0.0000006 Let i = 292.8909 + -293. What is i rounded to three dps? -0.109 Let m(k) = -1369*k**2 + 4*k - 1. Let z be m(3). Round z to the nearest one thousand. -12000 Let s = -1.1 - -4.4. Let f = -14.7 - s. Let j = f - -17.3. What is j rounded to the nearest integer? -1 Let b = -27 + 17. Let r = -10.018 - b. Round r to 2 dps. -0.02 Let k = -869.27 - 64161.73. Let b = k - -65408.41. Let u = -379 + b. Round u to 1 dp. -1.6 Let g = -14.200027 - -14.2. What is g rounded to four deci
{ "pile_set_name": "DM Mathematics" }
7772. Let a(k) = 3*k - 1. What is d*g(c) + 11*a(c)? 3*c + 1 Let m(c) = 9*c - 2706. Let b(z) = -6*z + 1355. Calculate 5*b(l) + 3*m(l). -3*l - 1343 Let p(c) = 3*c**2 - 7*c - 6. Let o(n) = 32*n**2 - 57*n - 206. Let v(h) = 8*h**2 - 14*h - 53. Let y(b) = 6*o(b) - 23*v(b). Calculate -11*p(w) + 4*y(w). -w**2 - 3*w - 2 Let w(g) be the first derivative of 15 - 6*g + g + 3*g + 3*g. Let c(a) = a - 6. Suppose 4*l + 84 = 18*l. Give l*w(d) + c(d). d Suppose 0 = 9*d - 22 - 95. Let b(v) = -5*v + 10. Let k(h) = -11*h + 20. Determine d*b(f) - 6*k(f). f + 10 Let j(r) = -9*r**2 + 1. Let k(f) = -1958*f**2 + 1. What is 3*j(y) - 3*k(y)? 5847*y**2 Let p be (6/(-5))/((-22)/((-6160)/84)). Let y(t) = 49*t + 11. Let w(d) = -24*d - 5. Calculate p*y(a) - 9*w(a). 20*a + 1 Let t(v) be the first derivative of 9/2*v**2 + 3*v + 6. Let o(d) = 14*d + 3. Let s(k) = 1. Let x(r) = o(r) + 2*s(r). What is -8*t(j) + 5*x(j)? -2*j + 1 Let v(u) = u**2 - u - 1. Let d(s) = -72*s**2 + 18*s + 282. Let k(m) = -29*m**2 + 7*m + 117. Let a(x) = -5*d(x) + 12*k(x). Give -a(c) + 6*v(c). -6*c**2 Let t(f) = -f + 27. Let s(m) = -100*m + 340. Determine -s(o) + 12*t(o). 88*o - 16 Let a(l) = -7*l**2 + 11*l - 1. Let q(v) = -v**2 + v - 1. Let u be 42*44/(-616) - (1 - -1). What is u*q(k) + a(k)? -2*k**2 + 6*k + 4 Let i(f) be the third derivative of f**6/60 - f**5/12 + 5*f**4/24 + f**3/3 + 1662*f**2. Let j(l) = l**3 - 2*l**2 + 2*l + 1. Give 2*i(o) - 5*j(o). -o**3 - 1 Let s(f) = 5*f**2 - 305*f + 4. Let p(c) = -12*c**2 + 916*c - 11. Determine -4*p(w) - 11*s(w). -7*w**2 - 309*w Let q(r) = -r**2 - 7*r + 1. Let z(u) = 44*u + 6. Give -6*q(d) - z(d). 6*d**2 - 2*d - 12 Let v(i) = -148*i + 10. Let c(z) = 49*z - 3. Suppose 0 = -86613*p + 86575*p - 608. Give p*c(b) - 5*v(b). -44*b - 2 Let k(y) = 1. Let c(u) be the second derivative of -u**3/6 + 9*u**2/2 - 27*u. Suppose 0 = j + 3*i - 10, j - 4*i = -i - 20. What is j*k(l) + c(l)? -l + 4 Let a = 2787 - 2781. Let o(f) = f - 17. Let h(z) = z - 17. Determine a*o(i) - 5*h(i). i - 17 Let r be ((-15)/5 - 3) + 9. Let y(k) = -16*k + 5 - 10 + 15*k**2 + 10 + 3*k**3 + 16*k. Let m(c) = -2*c**3 - 8*c**2 - 3. Calculate r*y(t) + 5*m(t). -t**3 + 5*t**2 Let q(i) = i**3 - 11*i**2 - 5*i + 1. Suppose 2*d = 3*d - 496. Let h(o) = o + d*o**2 + 496*o**2 - 990*o**2. Give -11*h(w) - 2*q(w). -2*w**3 - w - 2 Let d(v) = v - 5. Let j(s) = 2*s - 10. Let h be (5 + 1)*363/242 + -15. Calculate h*j(t) + 13*d(t). t - 5 Let a(w) = -w + 1. Let v be 2/8 - (-14)/8. Let h = v + -1. Let i(b) = -147 - 158 - 144 + 451. Determine h*i(y) - 2*a(y). 2*y Let k(y) = 20*y**3 - 3*y**2 - 3*y - 26. Let z(g) = 20*g**3 - 4*g**2 - 4*g - 29. Calculate 4*k(x) - 3*z(x). 20*x**3 - 17 Let r(y) = -4*y**2 + 10*y - 5. Let c(n) = 72*n**2 - 85*n + 16. Let z(j) = -19*j**2 + 22*j - 4. Let q(v) = 4*c(v) + 15*z(v). Calculate -5*q(u) - 4*r(u). u**2 + 10*u Let o(v) = v**3 - v**2 + v - 1. Let s(c) = 37*c - 405. Let q be s(11). Let p(k) = 4*k**3 - 4*k**2 + 2*k - 1. Determine q*o(t) - p(t). -2*t**3 + 2*t**2 - 1 Let p(l) = -l**2 - l. Let a(s) = 5*s**3 - 314*s**2 - 64*s + 62. Let v be a(63). Let f(h) = -12*h - 1. Determine v*f(o) + 2*p(o). -2*o**2 + 10*o + 1 Suppose -10*z + 6*z = -6*z - 10. Let y(p) = 9*p**2 - 5*p + 9. Let n(g) = 8*g**2 - 4*g + 8. Determine z*y(m) + 6*n(m). 3*m**2 + m + 3 Let j(n) = -15*n**3 - 3*n**2 + 12*n - 138. Let z(k) = k**3 + k**2 - 4*k - 1. Calculate j(m) + 3*z(m). -12*m**3 - 141 Let w(z) = 149*z - 4. Let b(c) = -164*c + 5. Determine 6*b(t) + 7*w(t). 59*t + 2 Let n(w) = 124*w + 29. Let h(m) = 95*m + 26. Determine -3*h(c) + 2*n(c). -37*c - 20 Let h(k) = 144*k + 26. Let f(v) = -3 - 4118*v + 1349*v + 1372*v + 1381*v. Determine -52*f(c) - 6*h(c). -32*c Let z(y) = -15*y**2. Let j(r) = -308*r**2. What is -5*j(l) + 70*z(l)? 490*l**2 Let h(g) = -5*g**2. Let a(x) = 5*x**2 - 6*x**2 - 2*x**2 - 7*x**2. Suppose -5*r - 23*m + 71 = -22*m, 2*r - 50 = -4*m. What is r*h(s) - 6*a(s)? -5*s**2 Let g(k) = 6*k - 4 + 1 - 2*k. Let b(q) = -8*q - 12. Let v(m) = 43*m + 58. Let o(z) = 15*b(z) + 3*v(z). Give -7*g(u) + 3*o(u). -u + 3 Let q(d) = -43*d**3 - 16*d**2 + 124*d - 60. Let l(c) = 22*c**3 + 9*c**2 - 61*c + 36. Give -5*l(x) - 3*q(x). 19*x**3 + 3*x**2 - 67*x Let u(c) = 5*c - 42. Let d(f) = -3*f + 29. Calculate -5*d(y) - 6*u(y). -15*y + 107 Let l(v) = -6*v - 13. Let w(j) = -8*j - 11. Calculate -5*l(n) + 4*w(n). -2*n + 21 Let i(k) = -k. Let t(l) be the third derivative of l**4/8 + l**3/6 - 148*l**2. Determine -9*i(m) - 2*t(m). 3*m - 2 Let z be 22/6*(3 + 0). Let u(w) = z*w**2 - 25*w**2 + 16*w**2. Let a(r) = r**2. Give -5*a(m) + 3*u(m). m**2 Suppose -6 = 3*s + 4*s - s. Let i(b) = -b - 1. Let v(m) = 115*m + 92. Determine s*v(q) - 92*i(q). -23*q Suppose -2349 = 8*c + 2147. Let z = -595 - c. Let y(b) = -b. Let h(u) = -15*u. Determine z*y(j) + 2*h(j). 3*j Let j(y) = y**3 + y**2. Suppose 73*h = 88*h - 900. Let a be 4*-5*(-3)/h. Let r(p) = p**3 - 2*p**2. Determine a*r(w) + 2*j(w). 3*w**3 Let n(h) = -91*h + 1. Let i(k) = 174*k - 3. Give 6*i(v) + 11*n(v). 43*v - 7 Let g(p) = -5*p**3 + 3*p**2 + 98*p + 3. Let y(u) = 13*u**3 - 8*u**2 - 291*u - 9. Determine 8*g(h) + 3*y(h). -h**3 - 89*h - 3 Let v(j) = -j**2 - 7*j - 3. Let i(u) = -u**3 - 10*u**2 - 32*u - 110. Let f be i(-8). Let p(o) = -5*o**2 - 29*o - 13. Give f*v(c) - 4*p(c). 2*c**2 - 10*c - 2 Let h(w) = w**3 + 10*w**2 - 13*w + 9. Let l(u) = -2*u**2 + 2*u - 1. Give -2*h(o) - 14*l(o). -2*o**3 + 8*o**2 - 2*o - 4 Let v(g) = 11*g - 4. Let c(r) = 26*r - 197. Let s(o) = -o - 31. Let h(l) = c(l) - 6*s(l). Give -6*h(t) + 17*v(t). -5*t - 2 Let k(n) = -19*n - 2. Let q(x) = -501*x. Calculate -2*k(p) + q(p). -463*p + 4 Let a(r) = 189*r - 5. Let t(p) = 223*p - 6. Let x(c) = -7*a(c) + 6*t(c). Let w(o) = 75*o - 6. Determine -4*w(h) + 21*x(h). 15*h + 3 Let t(h) = 30*h + 95. Let x(a) = a - 15. Let y(l) = t(l) + 6*x(l). Let p(g) = 37*g + 4. Determine 6*p(n) - 5*y(n). 42*n - 1 Let q(c) = -2*c**2 + c - 1. Let f(d) = 14*d**2 + 3*d. What is -f(l) - 8*q(l)? 2*l**2 - 11*l + 8 Let w(o) = 244*o + 5. Let y(d) = d**2 - 1202*d - 28. What is -11*w(q) - 2*y(q)? -2*q**2 - 280*q + 1 Let a(g) = 3*g**2 - 4*g. Let q be 63/(-9) - (-22 - -18). Let u(n) = 4*n**2 - 4*n - 1. Determine q*a(x) + 2*u(x). -x**2 + 4*x - 2 Let y(i) = 3*i - 3. Suppose 0 = 2*l + 4*g - 10, 3*l = -g + 5*g + 25. Let z(j) = -209*j - 186*j - 10 + 607*j - 203*j. What is l*y(w) - 2*z(w)? 3*w - 1 Let k(y) = 363*y + 20. Let w(r) = -366*r - 24. What is -5*k(j) - 4*w(j)? -351*j - 4 Let k(r) = 36603*r. Let m(c) = -7*c. Determine -k(u) - 6972*m(u). 12201*u Let m(z) = -10*z**2 + 4*z - 12. Let d(v) = -14*v**2 + 5*v - 16. Give -7*d(k) + 9*m(k). 8*k**2 + k + 4 Let a(g) = 9*g**2 - 3*g - 3. Let f(v) be the second derivative of -25*v**4/3 + 17*v**3/3 + 17*v**2 + 23*v - 16. Determine -68*a(l) - 6*f(l). -12*l**2 Let s(q) = 18 - 28*q + 35 - 87 + 53. Let c(t) = -9*t + 6. Give -7*c(a) + 2*s(a). 7*a - 4 Let z = -1 + 3. Let q be z/4 - (-6)/(-4). Let m(r) = -18*r - 10. Let n(f) = -29*f - 16. Let o(p) = -8*m(p) + 5*n(p). Let c(l) = l - 1. What is q*o(a) + c(a)? 2*a - 1 Let u(v) be the first derivative of -2*v**3 + v + 881. Let t(s) = 7*s**2 - s - 2. What is -2*t(y) - 3*u(y)? 4*y**2 + 2*y + 1 Let w be (3 - 1) + (-40 - 2). Let m(r) = 4 - 156*r**2 + 69*r**3 + 307*r**2 - 151*r**2 - 1 - 77*r**3. Let v(h) = -105*h**3 + 40. What is w*m(a) + 3*v(a)? 5*a**3 Let q(w) = -w - 8. Let v(t) = -60*t + 71. What is -8*q(m) - v(m)? 68*m - 7 Let n(b) = 2*b**3 - 1 - 1 + 0. Let z(d) = 10*d**3 - 11. Suppose 7*j + 16*j + 112 = -26. Give j*z(c) + 33*n(c). 6*c**3 Let a(v) = 53*v**2 + 2*v - 96. Let i(x) = 45*x**2 + 2*x - 98. Calculate 5*a(c) - 6*i(c). -5*c**2 - 2*c + 108 Let q(t) = 7*t + 5. Let g(b) = -2*b**3 - 9*b**2 - 7*b + 20. Let w be g(-5). Let u = -93 + w. Let x(j) = -15*j - 11. What is u*q(i) - 6*x(i)? -i + 1 Suppose 9*b = 21 + 15. Suppose -136 = 2*c - b*k, 5*c - k + 3*k = -280. Let z = c - -57. Let l(m) = 2*m + 2. Let r(y) = -y + 1. Determine z*r(j) - l(j). -j - 3 Let q(s) = -1778*s + 12. Let l(g) = -1472185*g + 9940. What is -3*l(h) + 2485*q(h)? -1775*h Let g(v) be the third derivative of v**6/120 + v**5/60 + v**4/24 + 16*v**2 - 6*v - 2. Let a(b) = -9*b**3 + 6*b**2 + 6*b. Give a(f) - 6*g(f). -15*f**3 Let s(z) = 6*z**2 + 2*z - 2. Let x(y) = y**2 + y - 1. Let n(o) = 3*o**2 - 76*o - 526. Let i be n(31). Give i*s(w) - 4*x(w).
{ "pile_set_name": "DM Mathematics" }
(18200/(-91))). -8/15 (34*(-46)/(-8211))/(6/28)*117/1 104 What is (1*((-12)/4)/6)/(126*495/(-3564))? 1/35 What is ((-2)/(-42))/((-47)/((-9870)/(-270)))*(-2)/13? 2/351 ((-36916)/(-25170))/((-8)/(-15)) 11/4 Evaluate ((6048/(-616))/(-6))/((-6)/44). -12 Evaluate 68/((-3400)/50)*(-21)/(-22)*48/72. -7/11 (-27)/(-10)*920/92 27 (18/1512*14*0)/(1*9) 0 Evaluate -2*((-6555)/2508)/115. 1/22 What is the value of (1/52)/((9/81)/(-9*4/81))? -1/13 (6/3)/((4*2/6)/(22850/(-6855))) -5 Calculate (40*7/378)/(-5*(-15)/180). 16/9 Evaluate ((93/(-9))/1)/((-25)/75). 31 (35/350)/(9/180*2)*6/(-564) -1/94 What is ((-4)/3)/((-152)/(-36))*(-57)/((-5985)/70)? -4/19 (-15)/27*(-126)/27*42/(-49) -20/9 Calculate (-174)/(-87)*9/66*(-2)/21*1. -2/77 128/(3968/(-62))*2/(-142) 2/71 (62/(-434))/(1837/2338) -2/11 What is 57/(104/(-104))*(-8)/(-6)? -76 Evaluate (12/(-16)*10/(-3))/(705/(-987)). -7/2 What is the value of (3/(-12))/(((-1032)/(-86))/2256)? -47 What is the value of ((-16136)/(-14119))/(((-10)/105*6)/(-21))? 42 What is the value of (-153)/(-1530)*(-105)/(-28)? 3/8 What is 229696/17945*15/(-3)? -64 Evaluate (-39750)/2400*(-4)/(-30)*6*-4. 53 What is the value of ((-120)/85)/((-4255)/(-14467))? -24/5 Evaluate 3/23*(2378/(-174))/(-41). 1/23 ((10/(-12))/(2615/4707))/(10/4) -3/5 (-36)/(-252)*-10*-28 40 Evaluate (2/(-4))/(503/1006)*0. 0 (-747)/(913/11)*(-952)/21*1/(-4) -102 What is the value of (-7)/(4312/12)*-2*33? 9/7 ((-12)/115)/(7134/17835) -6/23 What is the value of -26*(-36)/(-39780)*60/16? -3/34 (2/2*-1)/((3551/(-3233))/(-67)) -61 What is the value of (((-42534)/459)/((-28)/(-6)))/(4/28)? -139 What is the value of (((-69)/135)/((-7)/(-42)))/(180/450)? -23/3 Calculate ((-62080)/170720)/(((-9)/66)/((-3)/(-100))). 2/25 Evaluate (12/(-46))/(3105/(-23805))*3/(-124). -3/62 What is (-7)/(-51)*(-37)/(1036/(-120))? 10/17 What is the value of 100/1750*2100/112*7*(-1)/(-9)? 5/6 What is the value of -3*(23625/(-630))/(9/(-2))? -25 Evaluate ((-6)/(35*121/55))/((84/(-4))/7). 2/77 Calculate ((-31997)/10448)/((-1)/(-16)). -49 Evaluate 66/1694*-42*(-132)/252. 6/7 1836/9180*2/(-14)*90 -18/7 Evaluate (-1776)/(-1295)*(-1547)/884. -12/5 What is (-12)/8*37*236/6549*(-4)/5? 8/5 Calculate 2/((-12)/798)*(-14)/196*-6. -57 ((-4)/390)/(((-7)/175)/(44/440)) 1/39 (780/684)/(3783/(-873)) -5/19 (11718590/8270)/(39/(9/3)) 109 Evaluate ((-12)/3456*18)/((-5)/(-10)). -1/8 What is the value of (55/((-4400)/(-192)))/(3/60*(-8)/5)? -30 What is the value of ((-2991)/(-583245))/((-2)/20)? -2/39 What is -26*-14*(-37)/37037? -4/11 Evaluate ((-14)/(-21))/(924/(-98))*94/(-329). 2/99 Evaluate -8*(-19)/266*(3/(-6))/((-15)/(-30)). -4/7 What is (20/(-4))/((-10780)/8008)? 26/7 What is (6930/3850)/((4/4)/(-15))*(-2)/(-6)? -9 Calculate ((1785/(-17))/7)/(3/(-2))*(-4)/(-96). 5/12 Calculate ((-506)/((-1357)/(-59)))/((-1)/2). 44 21/((-4)/(-5)*31/((-62)/(-10))) 21/4 4/686*((-5)/((-195)/273))/1 2/49 Calculate ((-69)/((-16560)/40))/(3/14). 7/9 What is the value of 770/154*(-145)/75*-3? 29 What is 2/12*(36/(-5))/(10856/(-1180))? 3/23 Evaluate (-2*6/21*(-3)/(-4))/((-1748)/(-27531)). -27/4 What is ((-11900)/(-53550))/(4/(-2))? -1/9 What is the value of -5*(-32)/(-200)*2/((-16)/60)? 6 Evaluate ((-3)/(42/(-56)))/(-1)*1/(-1). 4 Calculate ((-5)/40*8)/(24/32736*-11). 124 What is ((4/(-32))/((63/12)/21))/((-4)/(-664))? -83 Calculate ((-1000)/(-20))/(13/26*5). 20 What is (820/(-18860))/(3/(-2139))? 31 Evaluate ((-25)/((-2800)/288))/(52/728). 36 Calculate (((-3402)/(-36))/27)/((-2)/4)*(-90)/(-105). -6 Evaluate (((-84)/15)/(-7))/(8/(-12)*-81). 2/135 Evaluate (8/(-6))/(((-960)/(-3120))/((-21)/(-13))). -7 Evaluate 962/((-1887)/51)*(-2)/(-4). -13 What is 21/(15/(-5))*(-150)/(-35)*9/(-18)? 15 Evaluate (358920/24925)/(2/5). 36 What is the value of 63864/35480*((-30)/441)/2? -3/49 Evaluate (-15)/(-270)*1/(-10)*2*(-355)/(-639). -1/162 What is (-3)/((-21)/28)*(((-624)/228)/(-13))/(-4)? -4/19 66/(-78)*18*4/(-66) 12/13 (-8)/(-184)*8/(-12)*(-315)/(-210) -1/23 Calculate ((6/(-50))/((104/13)/(-40)))/((-27)/810). -18 Calculate (465/(-140))/(699/1631). -31/4 Calculate ((-12)/(-10))/((-25)/1000*12)*4/(-14). 8/7 What is the value of (-255)/2210*(9/18*-4)/(42/(-4))? -2/91 What is 8/(-6)*(118428/1946)/((-48)/42)? 71 Calculate (-2)/((-1)/(12/16)*174/(-812)). -7 What is (420/4500*15)/((-28)/(-200))? 10 Evaluate 12/21*(6160/(-576))/(20/(-8)). 22/9 Calculate ((-8)/(-28))/((-3355)/9394). -4/5 What is (300/80)/(15/1820*-7)? -65 What is the value of 24/(-9040)*340/51? -2/113 What is the value of ((-820)/(-385400))/(10/(-200))? -2/47 (-385)/(-14)*82/615*3*9 99 What is ((-17)/(-3))/(7327/29739)? 23 What is (39/14)/((-127)/(-1778))? 39 4*((-12)/(-140))/((-53)/(-1484)*-264) -2/55 Calculate (72/30)/(((-6)/9)/(30/12)). -9 What is the value of ((24/(-52))/(-3))/((-190)/(-285))? 3/13 Evaluate (-96)/3968*((-36)/24)/((-15)/(-80)). 6/31 2576/414*6/8*360/15 112 What is the value of (16/10)/(-2*(-21)/(-420))? -16 What is 125/((-165000)/1452)*1? -11/10 ((-40)/20)/((7/(-21))/(4/(-1884))) -2/157 Calculate 168/(-42)*-2*3/78. 4/13 What is (85*(-232)/34510)/(16/35)? -5/4 What is the value of 22/(((-3)/(-2))/(735/196))? 55 What is the value of 3/2*(-2*(-259)/(-70))/(192/640)? -37 What is the value of (5*(-1)/5)/(3233/(-53))*(-6)/(-15)? 2/305 Evaluate (-20)/(-3)*(-1525)/36600. -5/18 -14*(-6)/(-48)*(-41)/(11767/5576) 34 (3/798*-6)/(52/(-4732)*13) 3/19 What is the value of (((-6)/(-4))/(3/2))/(6/126)? 21 What is (((-654245)/170)/179)/((-6)/(-8)*(-4)/(-6))? -43 (-230*(-13)/65*1/(-2))/((-2)/2) 23 Evaluate (3*85/102)/((-1950)/(-104)). 2/15 What is (34/((-612)/27))/(((-6)/(-10))/(48/(-8)))? 15 Evaluate ((-420)/108*4/50*315/84)/(-1). 7/6 35*(-10)/210*((-2052)/(-30))/19 -6 What is the value of 19/((-2660)/336)*110/11? -24 Evaluate (2*-2)/((-49)/(91287/(-46))*9). -18 What is the value of (32/(-378))/(-4)*(381360/480)/227? 2/27 Calculate 8360/(-30)*(-1638)/5187. 88 What is 93/4805*-31*(-42)/(-36)? -7/10 Calculate 32/104*-21*494/76. -42 Evaluate 2*(((-171)/323)/(-9))/(-1). -2/17 Calculate 6/(-168)*5*15/(-25). 3/28 What is the value of -5*((-12118)/7885)/(-73)? -2/19 What is -105*33/(-62370)*-1152? -64 What is (37*(-760)/(-4218))/(8/(-6)*8/(-32))? 20 What is 272/102*(2/3)/(2200/99)? 2/25 Evaluate ((-10)/(-50)*34)/((-47)/(3290/28)). -17 Evaluate ((3/9)/(3/27))/(29/((-4901)/(-169))). 3 Calculate ((-70)/(-6)*-122*342/(-17385))/(1*-1). -28 What is ((-14)/22)/(3825/(-9350))*-2? -28/9 Calculate ((1/(-20))/(43/56760*110))/(6/(-10)). 1 What is the value of (-69)/((-8901)/1118)*30/26? 10 What is ((-16)/15)/(13*(-38)/14820)? 32 Calculate (2/(-20))/((-1362)/1135)*441/14. 21/8 Evaluate ((-34365)/10)/29*(-6)/4*(-360)/(-810). 79 Evaluate 10/125*980/(-336)*(-6)/28. 1/20 Calculate ((-112)/28)/(-12*(-26)/78). -1 Calculate (-4)/(6/(-3))*1/((-5)/(9450/(-36))). 105 ((-3)/21)/(2103/412188) -28 Calculate ((-66)/33)/((225/60*8/20)/(-6)). 8 Evaluate (-6*3/24)/((10/(-532))/((-2600)/5460)). -19 What is the value of (200*(-211)/25320)/(3*(-1)/2)? 10/9 Evaluate (13/(-130))/((72/960)/(21/(-4))). 7 What is (57/(-3)*712/(-1068))/((2/(-3))/(-1))? 19 What is 3669/18345*(-200)/(-44)? 10/11 What is (23*(-129)/989)/126? -1/42 What is the value of 3160/(-9875)*10/104? -2/65 What is (259/(117845/(-2310)))/((-2)/13)? 33 What is the value of (((-1)/(-5))/((-663)/(-2340)))/(-2)? -6/17 ((-2)/(-3))/((-1148)/(-126))*-9*4/(-54) 2/41 What is the value of ((-2232)/90)/(-62)*(-2)/(-14)? 2/35 Calculate (12/(-198))/(1304/(-3586)). 1/6 What is 56/2*((-20)/2420)/(6/33)? -14/11 Calculate (3729/904)/(-5*14/175*15). -11/16 Evaluate ((-54)/(-24)*(-10)/45*3)/((-490)/(-20)). -3/49 What is the value of (-42)/9*((-24)/(-22))/(1470/1155)? -4 What is the value of 275/(-675)*((-11340)/495)/(-42)? -2/9 Evaluate (-950)/(-9975)*168/(-120). -2/15 9*(-38)/114*15/(32535/6) -2/241 Evaluate (-4)/((-6336)/(-9072)*(-27)/6). 14/11 What is ((-24)/(-16))/(((-15)/(-158))/(-3)*(-87)/(-145))? -79 Calculate 12/(170/(-14875)*50). -21 (7*(-22)/693)/(128/(-528)) 11/12 What is ((-2930)/(-1172))/((-1)/20)? -50 ((-26820)/3129)/(180/(-1176)) 56 What is 0/((29/(-4))/29*4)? 0 What is the value of 27*1*47*(-476)/16779? -36 Calculate (23/((-1449)/135))/(172/3612). -45 -5*3*1*9/27*-19 95 Calculate -8*(8/(-8))/(380/285). 6 What is 2/14*(1284/(-11984))/((-3)/49)? 1/4 (-35)/105*-2*6/9*(-45)
{ "pile_set_name": "DM Mathematics" }
n(-18)? False Let t = 30875 - 19135. Is 9 a factor of t? False Let r = 22063 + 817. Is r a multiple of 22? True Let j(x) = -x**3 + 13*x**2 - 21*x - 6. Let o be j(11). Let v(g) = 11*g**2 - 8*g + 9. Let r be v(o). Let f = -88 + r. Does 26 divide f? True Let y(l) = l**3 - 15*l**2 - 12*l + 14. Let x be y(16). Suppose -z + 4*o - 3 = 0, 0*o - o = 5*z + x. Is 12 a factor of (3 - (-1 + 13))/(3/z)? False Let y be (-1 - -7)/6 + 0. Is 16 a factor of (8/(-14))/(y/(-56))? True Let a(f) = 46*f**2 - 405*f - 16. Is 3 a factor of a(16)? True Let g(k) = k**2 - 11*k + 25. Let z(h) = h**3 + 13*h**2 + 12*h + 8. Let x be z(-12). Let f be g(x). Is (-1 - f)/(-2) - -14*5 a multiple of 17? False Does 14 divide 127*-316*11/(-22)? False Let o be 70/(-21)*(-27)/6. Suppose -o = -3*s, 5*s - 299 = 2*q - 838. Is q a multiple of 91? False Let r(d) = 2*d**2 - 3*d - 6. Let c be (3 + 3)/((-4)/((-32)/(-6))). Let h be r(c). Is 10 a factor of -4 + h + -3 + 1? True Let z(b) = -771*b - 2327. Is 8 a factor of z(-5)? True Suppose -x - 4*v = -2*v - 6, x - 12 = -4*v. Suppose -2*s + 5*p = -6*s + 39, x = s + 3*p - 15. Suppose 280 = -5*k + s*k. Is 16 a factor of k? False Let p(b) = 12*b + 4. Let c be p(2). Is 30 a factor of ((-48)/(-7))/(c/490)? True Let r = 182 + -173. Suppose -r*p - 4*q + 784 = -5*p, 2*p - 3*q - 377 = 0. Is p a multiple of 17? False Let p = 76 - 68. Let f(y) = 8*y - 57. Let g be f(p). Suppose g*t - 386 = 76. Is t a multiple of 33? True Let k = 53 + -2. Suppose 15*m = -2*m - k. Is 28 a factor of 5/(5/m) - -143? True Suppose t = s + 6*t + 23, -5*s - 5*t - 15 = 0. Suppose -n + 3*n = 4*k, 0 = -s*k - n + 8. Let j(m) = 12*m**2 - m + 5. Is 17 a factor of j(k)? True Let w = -198 - -154. Let y = w + 382. Does 6 divide y? False Let h(y) = 2 + 3 + 480*y - 183*y - 3. Is h(1) a multiple of 13? True Suppose -6 = -7*j + 22. Suppose -2*c + 1081 = 5*z, -c + 0*c - 870 = -j*z. Suppose -86 + 259 = 2*x - 5*i, -z = -3*x - i. Is 6 a factor of x? False Does 21 divide (-16 + -5894)/(-6) + (4 - 2)? True Let l(a) = 16*a + 303. Let d be l(-19). Does 9 divide (-1230)/(-25) + d/5? False Suppose -10*l + 11*l = 0. Suppose -2*n + 6 - 2 = l. Is 130/(-13)*n/(-4) a multiple of 5? True Let a(l) = l**2 + 16*l - 23. Let t be a(-20). Suppose 86 = -t*n + 59*n. Is 18 a factor of n? False Let i = -25753 + 59763. Is 190 a factor of i? True Suppose 6*h = -22*h - 6804. Let c = h - -577. Does 30 divide c? False Let z(i) = i**3 + 9*i**2 - 9*i - 20. Let y be z(-10). Let a = y - -133. Does 6 divide a? False Let o be 7 + 21/(-3) + 3. Suppose -2*v - 5*l = -68 + 14, o*v - 131 = 5*l. Is v a multiple of 37? True Let f be (52/(-8) - -6)*-2. Let y(a) = 271*a - 7. Is 33 a factor of y(f)? True Suppose -222 = 5*l - 27. Let j = l + 38. Is 12 a factor of 2/3 + j/(9/(-2343))? False Let h be -3 - (4 + -3 - 1). Let p be (-1)/h + 4 + (-11)/(-3). Suppose 0 = p*f - 5 - 331. Is 3 a factor of f? True Let a(d) = -d + 5. Let j be a(2). Suppose j*u + 5*m = 623, -2*m = 4*u - 915 + 89. Is u a multiple of 31? False Let o(v) be the first derivative of v**4/4 - 8*v**3/3 + 7*v**2/2 - 2*v - 72. Is o(8) a multiple of 3? True Let g(f) = -1. Let m(u) = 5*u. Let p(j) = -4*g(j) - m(j). Let w be ((-2)/4)/(3/6) - 3. Does 14 divide p(w)? False Let x(m) = 1 - 512*m**3 + 2 + 122*m**2 + 123*m**2 + 2*m - 2 - 244*m**2. Does 64 divide x(-1)? True Let z(c) = -c**3 - 15*c**2 + 35*c + 14. Let f be z(-17). Let x be ((-10)/(-20))/(f/1350). Let n = x - -365. Does 14 divide n? True Let n = -342 - -350. Suppose n*r = -7*r + 25110. Is 17 a factor of r? False Let v(a) = -a**3 - 30*a**2 - 2. Let u be v(-32). Suppose 2*n + 2*g - 890 - u = 0, -6*n + g = -8773. Does 24 divide n? False Let v(s) = -2*s**2 - 26*s + 21. Let j be v(-12). Let i be 2/(-4) - 482/(-4). Suppose j*w + i = 48*w. Is w a multiple of 10? True Suppose 12*m + 1769 + 499 = 0. Let b = -182 - m. Is 7 a factor of b? True Let t(r) = 3*r - 38. Suppose -2*k - 5*k = -77. Let l be t(k). Is 8 a factor of (-258)/l - (-4 + (-72)/(-20))? False Let q(t) = -t**2 + 36*t - 122. Suppose 2*w - 3*f - 65 = 0, -4*f - 45 = -w - 0*w. Is 17 a factor of q(w)? True Suppose 1116*v + 171864 = 1200*v. Does 11 divide v? True Let q = -56 - -67. Let l(w) = w**3 - 9*w**2 + 11*w + 38. Let v be l(q). Let h = v - 183. Is 23 a factor of h? False Does 10 divide (2128/(-70))/(2*1/(-50))? True Let l be (5 - 3)/((-18)/(-3))*6. Suppose 10*i - l*f = 8*i + 722, -f - 726 = -2*i. Is i a multiple of 5? True Suppose n + 4*q = -12, -5*q - 8 = 7. Suppose 5*k + 5*b - 10 = n, 10 = -3*k - 0*b + b. Is 3 a factor of (k + 1 - (-25 - -2)) + 2? True Suppose 0 = -460*h + 483*h - 5934. Is h a multiple of 10? False Let h(u) be the second derivative of -u**3/6 - 219*u - 1. Suppose -5*o - 39 = 3*z, -z - 2*o - 65 = 4*z. Is h(z) a multiple of 5? False Suppose -1086 = 79*c - 82*c. Let q = 177 + c. Is q a multiple of 49? True Suppose 2 = -2*y - 30. Let v be 2 + 4*(-4)/y. Suppose -v*p + 176 + 169 = 0. Does 22 divide p? False Suppose -4*r + 56 = 2*v, -r - 77 = -4*v + v. Let f = v - 88. Let s = f - -191. Does 22 divide s? False Let w be 5/((-150)/(-426))*25. Suppose -b + 1051 = w. Does 29 divide b? True Suppose 0 = -20*u + 22699 + 31901. Does 10 divide u? True Suppose -6*p = -11*p + 3525. Let i = p + -230. Is 19 a factor of i? True Let z(p) = 77*p**2 - 9*p + 10. Let u be z(3). Let y = -257 + u. Does 15 divide y? False Let b be 3/24 + 2833/(-8). Does 16 divide (-3 - b) + 5 + -4? True Suppose 105712 = 10*a - 4*i, -10*a + 15*a - i = 52858. Is a a multiple of 5? False Suppose -14 = -2*p - 4*y, -5*p + 5*y + 2 = 4*y. Is 9 a factor of p/(3/78*1)? False Let x = -7264 - -24274. Does 126 divide x? True Let l(f) = 952*f + 5749. Does 59 divide l(41)? True Let q be 5/5*1 + 3520/4. Suppose -7*c + q + 918 = 0. Is 34 a factor of c? False Let d = -120 + 122. Suppose 337 = x + d*x - 4*f, -107 = -x + 4*f. Is x a multiple of 36? False Suppose -5*k - 5*k + 3780 = -k. Is 6 a factor of k? True Let t = 51 + -47. Suppose -5*a + 2*n = -969, t*a - n = 677 + 100. Suppose 2*i + 2*q - 130 = 0, a = 3*i - 0*i - 5*q. Is 11 a factor of i? False Suppose 0 = -c - 4*r + 89, -4*c - 8*r + 376 = -12*r. Suppose -4*n + c = -147. Is n a multiple of 20? True Let x = 682 - 682. Suppose 0*m - 2*m + 5*l + 372 = x, 0 = l. Is 2 a factor of m? True Suppose -1526 = -5*z - 4*y, -271 + 1796 = 5*z + 5*y. Is z a multiple of 18? True Let n(s) = -s - 108. Let q be n(19). Let t = 112 - q. Does 14 divide t? False Does 36 divide (-188)/376*(2/1 - 38090)? True Let k = -6082 - -10944. Is k a multiple of 17? True Let k be (-14)/(-147) - (-1718)/42. Let l = 32 - k. Does 12 divide (-3)/l + 38/3? False Let r = -45 + 47. Let s(h) be the second derivative of 7*h**3 - 3*h**2/2 - 10*h. Does 20 divide s(r)? False Suppose -5*k + 24 = -k. Suppose k = l + 3*s, -5*s + 3 = 4*l - 0*s. Does 16 divide l/((-90)/80*2/48)? True Let v(d) = -196*d - 824. Is v(-48) a multiple of 11? False Suppose -21*r - 26992 = -25*r + 4*s, -2*s = -4*r + 27000. Does 16 divide r? True Let y(c) = -13*c + 62. Suppose t = 2*g + 7, -5*g + 4*t - 3 = 7. Does 70 divide y(g)? True Suppose 0 = 4*m - 8*m - 4*q - 204, 2*q = -3*m - 154. Is m*3*((-22)/(-6) + -4) a multiple of 28? False Let h = 801 + -115. Is 2 a factor of h? True Let b = 97 - 329. Let r = b + 370. Does 46 divide r? True Let p be -43 - -59 - (-1 + 5)/(-2). Let s = p - -26. Suppose 0*k = 2*k - s. Is k a multiple of 22? True Suppose 74952 = 2*l + 5*m, 12*l - 3*m = 7*l + 187380. Does 15 divide l? False Let l(a) = -a**3 + 4*a**2 + 7*a - 22. Let w be l(4). Suppose w*c - 224 - 280 = 0. Does 7 divide c? True Let f(v) = 23*v + 16. Let l be f(13). Suppose 83 - l = -4*y. Suppose 5*a - 157 = y. Does 18 divide a? False Let w be 6/(-14) - (-4239)/189. Suppose w*o - 39 = 951. Does 15 divide o? True Let f = 93 - 57. Suppose f = 22*x - 18*x. Suppose 0 = -x*o - 2*o + 1936. Is o a multiple of 22? True Let f(j) be the third derivative of 31*j**4/3 - 107*j**3/6 + 144*j**2. Is 49 a factor of f(3)? True Let g(j) be the third derivative of -j**4/24 + j**3 + 16*j**2. Let r be g(1). Suppose r*o - 326 = 2*v, 2*o - 3*v + 2*v = 130. Is 10 a factor of o? False Let d(g) = -g**3 - 12*g**2 + 27*g + 10. Does 5 divide d(-17)? False Suppose 73624 = 4*d + 5*g, 50*d + 5*g = 45*d + 92020. Does 73 divide d? True Let h(g) = -g**3 + 23*g**2 + g - 18. Let z be h(23
{ "pile_set_name": "DM Mathematics" }
86, -9297? -z**3 - z**2 - 1271*z - 8 What is the n'th term of -167, -229, -247, -197, -55, 203, 601? 4*n**3 - 2*n**2 - 84*n - 85 What is the m'th term of 4925, 19352, 43397, 77060, 120341, 173240, 235757? 4809*m**2 + 116 What is the b'th term of -4045, -4053, -4061, -4069, -4077, -4085? -8*b - 4037 What is the o'th term of 3616, 3655, 3694, 3733? 39*o + 3577 What is the j'th term of -405, -421, -433, -435, -421, -385? j**3 - 4*j**2 - 11*j - 391 What is the v'th term of 96, 628, 2078, 4908, 9580, 16556, 26298? 77*v**3 - 3*v**2 + 2*v + 20 What is the o'th term of 134, 461, 984, 1703? 98*o**2 + 33*o + 3 What is the y'th term of -41, -46, -71, -128, -229, -386, -611? -2*y**3 + 2*y**2 + 3*y - 44 What is the c'th term of 321727, 321728, 321729, 321730, 321731? c + 321726 What is the v'th term of 4195348, 4195352, 4195358, 4195366, 4195376? v**2 + v + 4195346 What is the b'th term of 23, 153, 477, 1079, 2043, 3453, 5393, 7947? 14*b**3 + 13*b**2 - 7*b + 3 What is the j'th term of 96, 138, 128, 66, -48, -214, -432? -26*j**2 + 120*j + 2 What is the v'th term of -77, -220, -459, -788, -1201, -1692? v**3 - 54*v**2 + 12*v - 36 What is the t'th term of 269479, 538958, 808435, 1077910, 1347383, 1616854, 1886323? -t**2 + 269482*t - 2 What is the p'th term of 1907, 3805, 5703, 7601, 9499, 11397? 1898*p + 9 What is the k'th term of 2271, 2286, 2301, 2316? 15*k + 2256 What is the r'th term of 40024, 40015, 40006, 39997, 39988? -9*r + 40033 What is the r'th term of 10423, 10417, 10411, 10405, 10399, 10393? -6*r + 10429 What is the w'th term of -931, -1524, -2117, -2710, -3303, -3896? -593*w - 338 What is the s'th term of 17292, 34588, 51884, 69180, 86476? 17296*s - 4 What is the l'th term of -22197, -22231, -22265? -34*l - 22163 What is the r'th term of -1432, -2888, -4372, -5884, -7424? -14*r**2 - 1414*r - 4 What is the b'th term of -107, -119, 69, 559, 1453? 17*b**3 - 2*b**2 - 125*b + 3 What is the h'th term of -1657, -1663, -1669? -6*h - 1651 What is the x'th term of -67, -532, -1797, -4264, -8335? -67*x**3 + 2*x**2 - 2*x What is the f'th term of -2198, -2372, -2546? -174*f - 2024 What is the j'th term of 445, 3579, 12087, 28657, 55977, 96735, 153619? 448*j**3 - j**2 + j - 3 What is the k'th term of -2799, -2798, -2799, -2802, -2807, -2814, -2823? -k**2 + 4*k - 2802 What is the o'th term of 1486140, 5944559, 13375258, 23778237, 37153496, 53501035? 1486140*o**2 - o + 1 What is the m'th term of 170, -468, -1106, -1744? -638*m + 808 What is the m'th term of -111213, -222432, -333651, -444870, -556089? -111219*m + 6 What is the l'th term of 98, 617, 1878, 4205, 7922, 13353, 20822? 54*l**3 + 47*l**2 - 3 What is the k'th term of -445, -603, -869, -1243, -1725? -54*k**2 + 4*k - 395 What is the o'th term of 1157, 1165, 1155, 1115, 1033, 897, 695, 415? -2*o**3 + 3*o**2 + 13*o + 1143 What is the f'th term of 580, 388, -130, -1136, -2792, -5260, -8702? -27*f**3 - f**2 + 608 What is the v'th term of -2127, -2099, -2039, -1935, -1775, -1547? 2*v**3 + 4*v**2 + 2*v - 2135 What is the a'th term of -1614, -5884, -12818, -22422, -34702? -a**3 - 1326*a**2 - 285*a - 2 What is the r'th term of -284, -2507, -8538, -20279, -39632, -68499, -108782, -162383? -317*r**3 - 2*r**2 + 2*r + 33 What is the c'th term of 459, 505, 573, 669, 799, 969, 1185? c**3 + 5*c**2 + 24*c + 429 What is the h'th term of -250, -509, -764, -1015, -1262, -1505, -1744? 2*h**2 - 265*h + 13 What is the q'th term of 18015, 18042, 18077, 18120, 18171? 4*q**2 + 15*q + 17996 What is the n'th term of 902436, 902434, 902432, 902430, 902428? -2*n + 902438 What is the i'th term of 198, 370, 520, 648, 754, 838, 900? -11*i**2 + 205*i + 4 What is the f'th term of -93246, -93250, -93256, -93264, -93274, -93286? -f**2 - f - 93244 What is the g'th term of 5114, 5128, 5142, 5150, 5146, 5124? -g**3 + 6*g**2 + 3*g + 5106 What is the z'th term of -14004, -13918, -13832, -13746, -13660, -13574? 86*z - 14090 What is the m'th term of 7665, 15261, 22857, 30453? 7596*m + 69 What is the v'th term of 3073, 6144, 9235, 12352, 15501? v**3 + 4*v**2 + 3052*v + 16 What is the k'th term of 637, 1274, 1923, 2590, 3281, 4002, 4759? k**3 + 630*k + 6 What is the y'th term of -64879, -64968, -65057, -65146? -89*y - 64790 What is the b'th term of 29, -21, -41, -25, 33, 139, 299? b**3 + 9*b**2 - 84*b + 103 What is the r'th term of 2072, 16947, 57322, 135947, 265572, 458947, 728822, 1087947? 2125*r**3 - 53 What is the x'th term of -8358, -8324, -8286, -8244, -8198? 2*x**2 + 28*x - 8388 What is the z'th term of -3915, -3907, -3887, -3849, -3787? z**3 + z - 3917 What is the g'th term of -1621, -3272, -4921, -6568? g**2 - 1654*g + 32 What is the j'th term of 16592, 16588, 16584, 16580? -4*j + 16596 What is the l'th term of 226, 464, 690, 904? -6*l**2 + 256*l - 24 What is the o'th term of 31066, 62133, 93200, 124267, 155334? 31067*o - 1 What is the m'th term of 3125, 6120, 9111, 12098, 15081? -2*m**2 + 3001*m + 126 What is the s'th term of -438266, -438273, -438290, -438323, -438378? -s**3 + s**2 - 3*s - 438263 What is the t'th term of -168, -233, -312, -411, -536, -693? -t**3 - t**2 - 55*t - 111 What is the h'th term of -2426, -2384, -2324, -2252, -2174, -2096, -2024? -h**3 + 15*h**2 + 4*h - 2444 What is the d'th term of 9230, 18529, 27894, 37325, 46822, 56385, 66014? 33*d**2 + 9200*d - 3 What is the o'th term of 82, 24, -46, -134, -246, -388, -566, -786? -o**3 - 51*o + 134 What is the w'th term of 4610, 9210, 13810, 18410, 23010? 4600*w + 10 What is the w'th term of 251, 2181, 7459, 17771, 34803, 60241? 281*w**3 - 12*w**2 - w - 17 What is the v'th term of 734555, 1469109, 2203665, 2938223? v**2 + 734551*v + 3 What is the v'th term of -359, -196, 7, 256, 557, 916, 1339? v**3 + 14*v**2 + 114*v - 488 What is the j'th term of -332, -1307, -2936, -5219, -8156, -11747, -15992? -327*j**2 + 6*j - 11 What is the b'th term of -128, -1156, -3932, -9326, -18208? -145*b**3 - 4*b**2 - b + 22 What is the u'th term of 19, 57, 115, 193, 291? 10*u**2 + 8*u + 1 What is the s'th term of 28222, 28236, 28248, 28258, 28266, 28272, 28276? -s**2 + 17*s + 28206 What is the h'th term of 258, 390, 516, 636, 750? -3*h**2 + 141*h + 120 What is the b'th term of -40600, -40603, -40606? -3*b - 40597 What is the j'th term of 921979, 921980, 921981, 921982? j + 921978 What is the k'th term of -8856, -17725, -26594? -8869*k + 13 What is the t'th term of 17049, 17058, 17067? 9*t + 17040 What is the j'th term of 923, 1094, 1265, 1436, 1607, 1778? 171*j + 752 What is the r'th term of 1495, 2981, 4461, 5935, 7403, 8865, 10321? -3*r**2 + 1495*r + 3 What is the j'th term of -2153878, -2153879, -2153880, -2153881, -2153882? -j - 2153877 What is the s'th term of 694576, 694578, 694580, 694582, 694584, 694586? 2*s + 694574 What is the p'th term of -180168, -360337, -540506, -720675, -900844? -180169*p + 1 What is the u'th term of -648, -2581, -5804, -10317, -16120, -23213? -645*u**2 + 2*u - 5 What is the p'th term of -122, -496, -1338, -2882, -5362, -9012? -39*p**3 - 101*p + 18 What is the z'th term of -6772, -5769, -4766, -3763, -2760? 1003*z - 7775 What is the j'th term of -1965, -7706, -17275, -30672, -47897, -68950? -1914*j**2 + j - 52 What is the z'th term of -3962, -15945, -35918, -63881? -3995*z**2 + 2*z + 31 What is the f'th term of 605719, 1211435, 1817151, 2422867? 605716*f + 3 What is the p'th term of -8916, -17831, -26740, -35643, -44540, -53431, -62316? 3*p**2 - 8924*p + 5 What is the f'th term of -5201, -5207, -5213, -5219? -6*f - 5195 What is the i'th term of -6, -70, -180, -336, -538, -786, -1080? -23*i**2 + 5*i + 12 What is the o'th term of 65441, 65442, 65443, 65444, 65445, 65446? o + 65440 What is the m'th term of -148, -1262, -4294, -10204, -19952, -34498, -54802? -160*m**3 + m**2 + 3*m + 8 What is the b'th term of -2885, -5777, -8665, -11549, -14429? 2*b**2 - 2898*b + 11 What is the g'th term of 292, 438, 588, 742, 900, 1062? 2*g**2 + 140*g + 150 What is the y'th term of -45, -365, -961, -1839, -3005? -y**3 - 132*y**2 + 83*y + 5 What is the f'th term of 41, 112, 195, 260, 277, 216, 47, -260? -5*f**3 + 36*f**2 - 2*f + 12 What is the m'th term of -793, -788, -785, -784, -785? -m**2 + 8*m - 800 What is the p'th term of 16, 39, 54, 55, 36, -9, -86, -201? -p**3 + 2*p**2 + 24*
{ "pile_set_name": "DM Mathematics" }
ccltccd. What is prob of picking 1 v and 1 d? 3/91 Four letters picked without replacement from fooofoofoofflfo. What is prob of picking 3 o and 1 l? 8/195 What is prob of picking 1 x and 1 e when two letters picked without replacement from {e: 2, g: 1, a: 1, x: 1, i: 2}? 2/21 Four letters picked without replacement from {t: 11, f: 2, c: 1, a: 1}. What is prob of picking 1 c and 3 t? 11/91 What is prob of picking 1 o and 1 p when two letters picked without replacement from poopo? 3/5 Three letters picked without replacement from {k: 6, i: 7, w: 6}. What is prob of picking 3 w? 20/969 What is prob of picking 3 f when three letters picked without replacement from fffefccefyafcf? 5/52 Three letters picked without replacement from {z: 4, v: 2, n: 2, r: 4}. Give prob of picking 1 v, 1 n, and 1 z. 4/55 Two letters picked without replacement from {u: 10, r: 9, b: 1}. What is prob of picking 1 r and 1 b? 9/190 Three letters picked without replacement from zzgzzzzzzzzzqz. Give prob of picking 1 g and 2 z. 33/182 Two letters picked without replacement from {d: 4, h: 3, y: 1, e: 3}. What is prob of picking 2 e? 3/55 Four letters picked without replacement from wwswwwidwwdswdwiidw. What is prob of picking 1 s, 2 i, and 1 w? 5/323 Three letters picked without replacement from {e: 1, y: 2, r: 2, p: 2, s: 8}. What is prob of picking 3 s? 8/65 Calculate prob of picking 1 l and 1 x when two letters picked without replacement from {q: 3, z: 2, l: 3, m: 4, b: 2, x: 4}. 4/51 Two letters picked without replacement from {y: 4, v: 1, r: 3, u: 1, e: 2}. Give prob of picking 2 e. 1/55 Four letters picked without replacement from {p: 13, j: 5}. Give prob of picking 4 j. 1/612 What is prob of picking 1 b and 2 o when three letters picked without replacement from {o: 2, w: 1, e: 1, b: 1}? 1/10 Two letters picked without replacement from {d: 1, y: 4, c: 1, u: 6, n: 3}. Give prob of picking 1 d and 1 u. 2/35 Calculate prob of picking 2 t when two letters picked without replacement from tttttttttt. 1 Two letters picked without replacement from ylgydudu. Give prob of picking 1 g and 1 d. 1/14 Two letters picked without replacement from {f: 6, r: 9, q: 1, m: 1, k: 2}. Give prob of picking 1 q and 1 k. 2/171 Four letters picked without replacement from {s: 2, n: 3, p: 1, x: 1}. Give prob of picking 1 x, 2 s, and 1 p. 1/35 What is prob of picking 2 m, 1 d, and 1 q when four letters picked without replacement from {d: 2, m: 2, q: 2, p: 1, v: 1}? 2/35 Three letters picked without replacement from {v: 5, f: 2, m: 3, x: 2}. What is prob of picking 1 m, 1 x, and 1 v? 3/22 Calculate prob of picking 3 c when three letters picked without replacement from {d: 10, c: 4}. 1/91 Calculate prob of picking 3 a when three letters picked without replacement from {a: 3, n: 3, f: 1}. 1/35 Two letters picked without replacement from {s: 2, f: 1, e: 4, n: 2, u: 1}. Give prob of picking 1 u and 1 e. 4/45 Three letters picked without replacement from {w: 2, m: 2, i: 1, u: 1}. What is prob of picking 1 u, 1 w, and 1 m? 1/5 Four letters picked without replacement from gqggssssgsqqqqsgnsn. What is prob of picking 1 n, 2 q, and 1 s? 35/969 What is prob of picking 1 e and 2 n when three letters picked without replacement from nenennneen? 1/2 Calculate prob of picking 3 j when three letters picked without replacement from {j: 10}. 1 Calculate prob of picking 2 i when two letters picked without replacement from {i: 11, t: 1, e: 1, w: 2}. 11/21 Two letters picked without replacement from {m: 7, r: 1, e: 6, n: 4, o: 2}. What is prob of picking 1 o and 1 m? 7/95 Three letters picked without replacement from {d: 6, p: 2, l: 1, t: 2}. Give prob of picking 1 t, 1 p, and 1 l. 4/165 What is prob of picking 2 b and 1 n when three letters picked without replacement from {b: 2, u: 1, n: 3, h: 4}? 1/40 Four letters picked without replacement from {z: 17, a: 1}. Give prob of picking 4 z. 7/9 Calculate prob of picking 1 j and 1 u when two letters picked without replacement from wugjgwg. 1/21 Four letters picked without replacement from {y: 7, d: 3}. Give prob of picking 2 y and 2 d. 3/10 Three letters picked without replacement from eedqqfodl. Give prob of picking 1 f, 1 e, and 1 o. 1/42 Two letters picked without replacement from {m: 2, o: 1, c: 1, t: 2, i: 1}. Give prob of picking 2 t. 1/21 What is prob of picking 2 w when two letters picked without replacement from {x: 6, w: 7}? 7/26 Calculate prob of picking 1 w and 2 y when three letters picked without replacement from yyyyyyyyyywyyyywywyy. 34/95 Four letters picked without replacement from {o: 3, f: 6, e: 3, z: 1, w: 5}. Give prob of picking 1 w and 3 e. 1/612 Two letters picked without replacement from ppbipigppbbbpbqbpgg. Give prob of picking 1 p and 1 g. 7/57 Calculate prob of picking 2 x when two letters picked without replacement from xuxx. 1/2 Calculate prob of picking 2 i when two letters picked without replacement from iyiy. 1/6 Calculate prob of picking 2 i and 1 a when three letters picked without replacement from {b: 4, i: 4, a: 8}. 3/35 Calculate prob of picking 1 r and 2 q when three letters picked without replacement from {r: 12, q: 6}. 15/68 Four letters picked without replacement from {k: 1, o: 1, a: 4, p: 5}. What is prob of picking 2 p, 1 k, and 1 a? 4/33 What is prob of picking 1 e, 1 b, and 1 r when three letters picked without replacement from {e: 2, p: 1, h: 1, m: 1, b: 2, r: 1}? 1/14 Four letters picked without replacement from {j: 6}. Give prob of picking 4 j. 1 Calculate prob of picking 1 f and 1 b when two letters picked without replacement from nnubsfn. 1/21 Two letters picked without replacement from {j: 4, w: 3, p: 1, g: 1, d: 2, o: 4}. What is prob of picking 1 o and 1 j? 16/105 Three letters picked without replacement from {l: 2, q: 2, g: 1, w: 1}. Give prob of picking 2 q and 1 w. 1/20 Calculate prob of picking 4 e when four letters picked without replacement from ptpttpettetet. 0 Two letters picked without replacement from fifiif. Give prob of picking 2 f. 1/5 What is prob of picking 2 q and 2 o when four letters picked without replacement from {o: 3, h: 10, q: 2}? 1/455 Three letters picked without replacement from {v: 4, o: 6, r: 4}. What is prob of picking 2 r and 1 o? 9/91 What is prob of picking 1 w and 2 n when three letters picked without replacement from nnxnxpvnwxpv? 3/110 Two letters picked without replacement from {s: 3, d: 4}. What is prob of picking 1 d and 1 s? 4/7 Three letters picked without replacement from txss. Give prob of picking 2 s and 1 x. 1/4 Calculate prob of picking 2 i when two letters picked without replacement from cccccccccciiciiicc. 10/153 What is prob of picking 2 o when two letters picked without replacement from {o: 2, z: 7, d: 1}? 1/45 Two letters picked without replacement from qqqgqcqqqg. Give prob of picking 1 c and 1 g. 2/45 What is prob of picking 2 h and 1 s when three letters picked without replacement from {y: 6, h: 4, s: 7}? 21/340 Calculate prob of picking 3 n when three letters picked without replacement from {n: 6}. 1 What is prob of picking 1 a and 1 p when two letters picked without replacement from {z: 1, a: 4, p: 5, d: 8}? 20/153 Calculate prob of picking 2 m when two letters picked without replacement from pomoppmppppp. 1/66 Four letters picked without replacement from {q: 9, n: 1, e: 1, a: 1, s: 2, i: 1}. What is prob of picking 2 s, 1 n, and 1 i? 1/1365 Three letters picked without replacement from {y: 4, g: 3, d: 1}. What is prob of picking 1 d and 2 g? 3/56 Two letters picked without replacement from vwwwpwwvvpvwvwvvpvv. Give prob of picking 2 w. 7/57 Two letters picked without replacement from fvfffvfv. Give prob of picking 2 f. 5/14 What is prob of picking 1 u, 1 i, and 1 s when three letters picked without replacement from {s: 1, g: 2, o: 2, i: 2, q: 1, u: 1}? 1/42 Calculate prob of picking 1 a, 1 e, and 1 g when three letters picked without replacement from axxxxaecgggagxeafx. 2/51 Three letters picked without replacement from {e: 4}. What is prob of picking 3 e? 1 Four letters picked without replacement from icvvvikvviicxiikii. What is prob of picking 2 c, 1 i, and 1 k? 4/765 Three letters picked without replacement from fnfnnn. What is prob of picking 2 n and 1 f? 3
{ "pile_set_name": "DM Mathematics" }
(-41))/3. -1/50 Evaluate (-63)/(-63)*-8*4/(-4). 8 Calculate (8/(-10))/((-144)/360)*(-9)/180. -1/10 Evaluate 24/10*13440/1152. 28 ((-7)/((-315)/(-20)))/((-12)/9) 1/3 ((-8)/(-84))/((-4)/18) -3/7 What is (24/78)/((-14)/(-7))? 2/13 What is the value of (72/(-90))/(-7*198/(-385))? -2/9 What is (((-20)/(-95))/((-4)/(-38)))/((-2)/10)? -10 What is the value of ((-9)/108)/(((-15)/50)/(4/(-15)))? -2/27 What is the value of 18/(-9)*(-2)/(-4)*6? -6 What is 4/(-154)*1*11788/3368? -1/11 What is 26/(-6)*15474/(-2579)? 26 (23/(-23))/(((-5)/(-20))/(10/4)) -10 Calculate (-9)/5*(-380)/(-8550). -2/25 Calculate (2/(-12)*4)/(24/(-72))*-6. -12 Evaluate -4*5/(-120)*(-16)/(-28). 2/21 Evaluate (2/4)/(2/308*11). 7 Evaluate 18/(-21)*-63*(-17)/306. -3 What is the value of (-3)/((-7)/((-525)/125))*(-20)/3? 12 Calculate (((-2)/(-4))/(425/(-100)))/((-17)/(-17)). -2/17 What is the value of (27*(-6)/(-90)*3)/(21/(-70))? -18 Evaluate (1725/(-1265))/((-1)/11). 15 ((-3306)/(-152))/29*-1*4 -3 Evaluate (-6)/(-63)*-27*(-4424)/474. 24 What is (18/(-30)*1)/((-15)/50)? 2 Calculate 5/2*14*36/(-720). -7/4 ((3696/(-22))/(-21))/((-12)/9) -6 What is the value of 2/(64/(-6))*22/(-66)*-10? -5/8 Calculate (8*10/40)/(-4). -1/2 -34*(-3)/2*9*6/(-162) -17 What is the value of ((-729)/162)/(63/6)? -3/7 What is 1*0/((-1258)/(-37))? 0 What is (220/(-100))/(-11)*130/(-2)? -13 What is the value of (-2*((-360)/32)/(-15))/((-6)/40)? 10 What is the value of (15/(5670/(-2184)))/((-5)/((-90)/(-4)))? 26 (85/(-4))/((95/(-285))/(8/15)) 34 (-112)/(-56)*(27/3)/(3/(-3)) -18 Evaluate (9/12)/(13/(2912/462)). 4/11 What is (22/(-16))/(180/(-1440))? 11 What is (8/2*74/(-37))/2? -4 Calculate 258/172*(-3)/(-6)*-1. -3/4 Evaluate (-4)/((1984/2)/(-16)). 2/31 What is the value of 8*(-147)/168*-1? 7 What is 1/14*(-31)/((-6820)/80)? 2/77 Evaluate (-34)/(1530/(-285))*-1. -19/3 32/(-3)*432/576 -8 Calculate ((-15)/(-2))/(4710/1256). 2 -16*((-11)/44*4)/1 16 Evaluate (((-279)/(-7440))/(9/(-5)))/((-1)/(-3)). -1/16 Evaluate (2/((-32)/8))/((-3)/(-18)). -3 ((-15)/(-21))/((-64)/128) -10/7 Evaluate ((-58)/232)/(((-21)/(-144))/(-7)). 12 What is the value of ((-318)/(-424))/((-372)/16)? -1/31 What is the value of (-169)/13*23/(276/24)? -26 (((-2565)/(-54))/19)/((-1)/2) -5 What is ((-25)/(-2))/(760/(-608))? -10 What is the value of 2*(2/(-48))/(82/369)? -3/8 What is ((-2)/20)/((-2)/5*19/38)? 1/2 What is the value of (15/(-10))/(-66*(-5)/(-20))? 1/11 What is the value of (5*5/(-700))/(6/(-216))? 9/7 (4/3)/((-506)/207)*(-44)/6 4 What is (24/(-14))/(594/2079)? -6 Calculate -1*(-35)/((-1050)/(-20))*6/(-20). -1/5 What is the value of ((-4)/(-40)*-4)/((-9)/180)? 8 Calculate ((-432)/(-864))/((-10)/(-24)). 6/5 Calculate ((-16)/768)/(12/(-108)). 3/16 What is the value of (-840)/(-300)*20/(-48)? -7/6 What is the value of 3*(-4)/(-3)*(-65)/52*-1? 5 Calculate ((-10)/60*6)/(7/35). -5 Evaluate ((-196)/(-24))/49*(-80)/((-35)/(-7)). -8/3 35/84*16/(-2)*6/(-2) 10 Calculate (-10)/6*(-13)/((-143)/11). -5/3 What is the value of (((-27)/2)/(-3))/(20*(-11)/(-440))? 9 What is (84/(-8))/(95/608*-12)? 28/5 What is ((-51)/68)/((-8)/32)? 3 What is the value of ((6/(-1395))/1)/(2/10)? -2/93 What is the value of (4*21/49)/(4/((-168)/27))? -8/3 (8541/108186)/(2*3/(-16)) -4/19 What is (21/(-4))/((-238)/408)? 9 What is ((-1)/5)/((1320/8250)/((-8)/(-6)))? -5/3 What is ((-6)/(-96)*-8*-1)/(3/(-54))? -9 -34*14/357*(-2)/(2*-64) -1/48 Calculate (4/49)/(141/987)*(-14)/(-44). 2/11 Calculate ((-1)/(-20))/(133/(-1596)). -3/5 Evaluate 8/6*48/1312. 2/41 Evaluate 5/((-1440)/112)*(-8)/(-14). -2/9 What is -4*(-416)/(-1344)*21? -26 ((189/774)/(-7))/(45/30) -1/43 Evaluate ((-15)/(-50))/((-48)/2176*-17). 4/5 What is the value of 3/8*(-240)/(-18)? 5 What is the value of ((-12)/(-5))/(-2)*(-89)/(3827/(-430))? -12 Evaluate (1/12*9)/(375/100). 1/5 ((-231)/(-147))/((-4)/(-28)) 11 What is (46/(10580/(-46)))/(1/(-5))? 1 Calculate 8/16*6/(15/5). 1 What is ((-1)/2)/(((-2)/(-16))/(299/(-460)))? 13/5 Calculate 8/16*15*((-560)/21)/8. -25 What is (6/2*(-38)/(-285))/((-2)/10)? -2 What is (24*((-304)/(-128))/19)/((-1)/7)? -21 Calculate (49/(-1))/((-91)/(-26)). -14 Calculate ((-1)/2)/((-1189)/(-64206)). -27 Calculate 40/(-3)*(-438)/584. 10 ((-16)/(-84))/(-2)*(-866)/(-1732) -1/21 (1329/11961)/(((-2)/(-5))/((-9)/(-5))) 1/2 Calculate ((-988)/(-91))/38*(-7)/37. -2/37 What is ((-268)/(-335))/(44/11)? 1/5 What is the value of ((-3)/25)/(((-17)/255)/(2/6))? 3/5 Evaluate (2*52/(-455))/(70/(-245)). 4/5 Calculate 0/((-24)/4)*7/(-7). 0 What is the value of (72/(-90))/(3/(-60))*(-5)/(-15)? 16/3 Evaluate (-30)/(-12)*6*16/(-240). -1 What is (-2)/(44/(-550)*-5)? -5 Calculate 5/(-2)*(-32)/400. 1/5 Calculate (-6)/15*4*(234/24)/(-13). 6/5 (-6)/(((-40)/(-180))/((-4)/(-12))) -9 Calculate (2/(1/(-1)))/(1*2). -1 Calculate (9/105*14)/(44/(-10)). -3/11 19/95*(-5)/(-11)*9/(-9) -1/11 Evaluate (-2)/((8/144)/((-1)/(-3))). -12 Evaluate 0*((-8)/(-14))/((-8)/(-2)). 0 What is (-39)/(-208)*(20/(-15))/(-2)? 1/8 What is the value of (216/30)/6*((-1280)/(-24))/8? 8 What is the value of 76/(-114)*33/319? -2/29 What is ((-774)/1376*(-4)/(-3))/(-1)? 3/4 What is the value of ((-54)/(-24))/(795/(-424))*-30? 36 Evaluate (-731)/(-5117)*17*-7. -17 What is the value of (20/14)/(((-84)/(-7))/(-84))? -10 What is the value of (-216)/(-72)*(-3)/(-45)? 1/5 What is the value of (20/(-55)*(-2)/((-4)/1))/4? -1/22 What is the value of ((0/3)/4)/(4*17/(-68))? 0 Evaluate 154/22*(-10)/(-35)*3. 6 678/(-5085)*3/7 -2/35 Calculate ((-4)/(-6)*5/6)/(152/456). 5/3 Calculate ((96/(-40))/6)/((32/(-20))/(-4)). -1 What is the value of (-18)/(-39)*126/(-72)*(-2)/7? 3/13 Evaluate (261/(-1827))/(((-2)/(-28))/(4/24)). -1/3 Calculate -6*(-10)/(-150)*15. -6 What is the value of -13*((-336)/(-16))/21? -13 Calculate (-5*(-6)/(-135))/(10/(-765)). 17 Evaluate (-8)/6*78/260*5*3. -6 What is the value of -34*(-42)/5355*(-54)/4? -18/5 What is the value of (1/(-6))/1*(-4158)/1155? 3/5 What is the value of (-137)/822*(-48)/(12/3)? 2 What is the value of ((-630)/36*(-5)/(-7))/(2/(-4))? 25 9/(-108)*44*3*3/(-3) 11 Calculate (7/45)/((-546)/(-234)). 1/15 What is (((-1944)/96)/(-27))/(3/40)? 10 Calculate ((-24)/340)/((-237)/(-395)). -2/17 -20*(-115)/828*3/(-10) -5/6 Evaluate ((-384)/(-40))/(266/(-665)). -24 What is the value of (((-2)/4)/(-1))/(3104/776)? 1/8 What is the value of ((618/515)/((-7)/(-5)))/(3/28)? 8 Calculate (1/9)/(40/(-240)). -2/3 Evaluate (-3)/4*780/117*(-2)/(-225). -2/45 What is the value of 9/6*(-14)/(-168)? 1/8 Evaluate 2/(((-2)/3)/(42/18))*1. -7 (-315)/(-1890)*(-3)/(-3*2/3) 1/4 What is 35/(-3)*(-89)/((-13350)/180)? -14 1*(-72)/(-40)*(-16)/(192/180) -27 (((-120)/(-16))/5)/5*(-4)/(-3) 2/5 Calculate (-12)/((-5)/(30/(-21))*(-76)/(-399)). -18 Calculate 264/198*12/56. 2/7 Evaluate (-10)/(-2)*24/(-420). -2/7 What is ((-528)/462)/((-64)/(-80))? -10/7 (12/1)/((-248)/(-124)) 6 What is 90/100*(-10)/(-15)? 3/5 ((-3)/5)/(45/(-100))*(-1980)/(-176) 15 (-1)/((-3)/18*2)*187/33 17 ((-129)/(-3354))/((-1)/4) -2/13 Calculate 3*-2*((-12)/(-84))/(2/2). -6/7 Calculate (3/(-20))/((-3)/72)*50/(-15). -12 What is 7/(-2)*13842/(-5383)? 9 (-4)/(12/(-12))*-34*1/8 -17 Calculate ((-21)/(-182))/(48/(-32)). -1/13 Evaluate 23/((-19)/(-570)*-3*10). -23 ((72/(-99))/(-8)*-1)/((-2)/12) 6/11 Evaluate (((-108)/(-1512))/((-3)/(-3)))/(2/(-7)). -1/4 Calculate (((-9)/(-60))/(45/(-40)))/(2/20). -4/3 Evaluate (-3*(-36)/486)/((11/(-3))/1). -2/33 What is (-3)/(294/8)*(-777)/666? 2/21 What is (99/693)/(((-4)/(-2))/(-4))? -2/7 ((-765)/(-20))/(927/412) 17 What is the value of ((-3)/(-24))/(16*17/3264)? 3/2 Evaluate (-153)/(-119)*-7*-3*(-4)/(-4). 27 Calculate 6*22/(-99)*1/2. -2/3 (817/731)/((-7)/119) -19 ((15/(-38))/3)/(160/128) -2/19 What is the value of (3/(42/(-4)))/((-1072)/(-938))? -1/4 Calculate 14*-6*(-8)/96. 7 Calculate ((-70)/(-15))/((-2)/6). -14 What is the value of ((-2)/6)/(2/3)*(-402)/(-335)? -3/5 (0/2*(-14)/14)/(-2) 0 (-3180)/1696*3/45 -1/8 Calculate -4*((-390)/(-429))/(32/44). -5 What is (((-1)/54)/(30/90))/((-1)/(-3))? -1/6 Calculate (0/(-1)*(-40)/(-80))/1. 0 ((-63)/28*256/8)/(-3) 24 ((-4)/(-6))/((-2)/414*(-306)/51) 23 What is (55/(-275)*-20)/(20/6)? 6/5 Evaluate (-26)/(-4)*102/663*-27. -27 Calculate (120/9)/(-2)*(-261)/(-174). -10 ((-51)/(-714))/(2/80)*21/6 10 Calculate 47/((-235)/30)*2/12. -1 What is ((
{ "pile_set_name": "DM Mathematics" }
digit of 9369613? 9 What is the tens digit of 99721? 2 What is the hundred thousands digit of 1033476? 0 What is the thousands digit of 333096? 3 What is the hundred thousands digit of 915359? 9 What is the tens digit of 5226996? 9 What is the thousands digit of 310884? 0 What is the hundred thousands digit of 27936684? 9 What is the ten thousands digit of 29751492? 5 What is the units digit of 754809? 9 What is the hundred thousands digit of 5933672? 9 What is the hundred thousands digit of 744280? 7 What is the thousands digit of 6586296? 6 What is the thousands digit of 1797289? 7 What is the thousands digit of 110992? 0 What is the thousands digit of 34039? 4 What is the hundred thousands digit of 339705? 3 What is the hundreds digit of 2240773? 7 What is the units digit of 526613? 3 What is the ten millions digit of 12460845? 1 What is the ten thousands digit of 43247493? 4 What is the ten thousands digit of 10206827? 0 What is the hundred thousands digit of 3630077? 6 What is the thousands digit of 17294068? 4 What is the units digit of 3737801? 1 What is the units digit of 3133304? 4 What is the millions digit of 1117319? 1 What is the ten thousands digit of 244226? 4 What is the hundreds digit of 58203? 2 What is the units digit of 1402904? 4 What is the thousands digit of 380205? 0 What is the units digit of 94582? 2 What is the millions digit of 1548511? 1 What is the units digit of 447137? 7 What is the hundreds digit of 97049? 0 What is the hundreds digit of 160446? 4 What is the tens digit of 1095186? 8 What is the hundreds digit of 546001? 0 What is the ten thousands digit of 6102207? 0 What is the ten thousands digit of 116445? 1 What is the hundreds digit of 126489? 4 What is the hundred thousands digit of 507324? 5 What is the millions digit of 1799194? 1 What is the millions digit of 19664623? 9 What is the hundreds digit of 1261767? 7 What is the hundred thousands digit of 179865? 1 What is the thousands digit of 141737? 1 What is the hundred thousands digit of 215667? 2 What is the hundred thousands digit of 3441264? 4 What is the units digit of 656821? 1 What is the ten thousands digit of 1504368? 0 What is the tens digit of 420683? 8 What is the units digit of 145184? 4 What is the ten thousands digit of 12151826? 5 What is the thousands digit of 222589? 2 What is the millions digit of 1905094? 1 What is the hundreds digit of 16238800? 8 What is the ten thousands digit of 453996? 5 What is the thousands digit of 17926? 7 What is the hundred thousands digit of 212259? 2 What is the hundreds digit of 104061? 0 What is the hundreds digit of 47712? 7 What is the ten thousands digit of 214149? 1 What is the ten thousands digit of 4047464? 4 What is the ten thousands digit of 5092424? 9 What is the ten thousands digit of 300365? 0 What is the thousands digit of 180953? 0 What is the ten thousands digit of 2157402? 5 What is the ten millions digit of 11013959? 1 What is the tens digit of 272832? 3 What is the thousands digit of 3746753? 6 What is the ten thousands digit of 509454? 0 What is the hundreds digit of 15513774? 7 What is the tens digit of 231027? 2 What is the tens digit of 19330? 3 What is the thousands digit of 431646? 1 What is the hundreds digit of 448114? 1 What is the units digit of 3785776? 6 What is the ten thousands digit of 2388056? 8 What is the ten thousands digit of 308907? 0 What is the thousands digit of 450203? 0 What is the tens digit of 5497209? 0 What is the units digit of 1972679? 9 What is the hundreds digit of 3541527? 5 What is the ten millions digit of 12315019? 1 What is the tens digit of 7228259? 5 What is the thousands digit of 252612? 2 What is the hundreds digit of 194663? 6 What is the ten thousands digit of 102093? 0 What is the thousands digit of 37937486? 7 What is the hundred thousands digit of 11296249? 2 What is the thousands digit of 5588567? 8 What is the ten thousands digit of 11427511? 2 What is the hundreds digit of 1208111? 1 What is the thousands digit of 546130? 6 What is the ten thousands digit of 10288176? 8 What is the ten thousands digit of 2166810? 6 What is the tens digit of 4810493? 9 What is the units digit of 18708113? 3 What is the tens digit of 647592? 9 What is the tens digit of 58141? 4 What is the tens digit of 142298? 9 What is the tens digit of 18043219? 1 What is the ten thousands digit of 5726093? 2 What is the hundred thousands digit of 31657395? 6 What is the units digit of 41673460? 0 What is the tens digit of 9336174? 7 What is the units digit of 7321959? 9 What is the tens digit of 7179977? 7 What is the thousands digit of 289516? 9 What is the hundred thousands digit of 319116? 3 What is the millions digit of 15202502? 5 What is the hundreds digit of 80392? 3 What is the millions digit of 4103079? 4 What is the thousands digit of 400820? 0 What is the units digit of 3233120? 0 What is the hundreds digit of 2065137? 1 What is the ten thousands digit of 124066? 2 What is the thousands digit of 6909016? 9 What is the hundred thousands digit of 812191? 8 What is the ten thousands digit of 2083857? 8 What is the ten thousands digit of 967825? 6 What is the thousands digit of 191207? 1 What is the ten thousands digit of 25839730? 3 What is the thousands digit of 1802090? 2 What is the thousands digit of 8652335? 2 What is the thousands digit of 4961834? 1 What is the thousands digit of 1859538? 9 What is the units digit of 12659809? 9 What is the ten thousands digit of 21229182? 2 What is the ten thousands digit of 534082? 3 What is the units digit of 282257? 7 What is the units digit of 193684? 4 What is the ten millions digit of 22634236? 2 What is the hundreds digit of 300893? 8 What is the hundred thousands digit of 5594501? 5 What is the units digit of 1281129? 9 What is the tens digit of 408235? 3 What is the hundred thousands digit of 217059? 2 What is the ten thousands digit of 8911252? 1 What is the tens digit of 4198933? 3 What is the hundred thousands digit of 6455889? 4 What is the thousands digit of 5364969? 4 What is the ten thousands digit of 280337? 8 What is the millions digit of 1701801? 1 What is the units digit of 317286? 6 What is the ten thousands digit of 115136? 1 What is the ten thousands digit of 192317? 9 What is the tens digit of 12169661? 6 What is the thousands digit of 321292? 1 What is the hundred thousands digit of 651098? 6 What is the hundred thousands digit of 7531617? 5 What is the hundred thousands digit of 2559354? 5 What is the units digit of 863552? 2 What is the thousands digit of 1479036? 9 What is the hundred thousands digit of 123200? 1 What is the hundred thousands digit of 26626238? 6 What is the thousands digit of 350762? 0 What is the hundred thousands digit of 261662? 2 What is the units digit of 12898? 8 What is the tens digit of 1249073? 7 What is the ten thousands digit of 1631620? 3 What is the units digit of 20711030? 0 What is the hundreds digit of 487782? 7 What is the hundred thousands digit of 327174? 3 What is the tens digit of 4576793? 9 What is the ten thousands digit of 1278289? 7 What is the ten thousands digit of 86920? 8 What is the ten thousands digit of 4148867? 4 What is the units digit of 3059547? 7 What is the hundred thousands digit of 148802? 1 What is the hundreds digit of 382589? 5 What is the thousands digit of 420827? 0 What is the hundred thousands digit of 149725? 1 What is the ten thousands digit of 12103? 1 What is the thousands digit of 540029? 0 What is the millions digit of 1025319? 1 What is the ten millions digit of 12353585? 1 What is the tens digit of 429811? 1 What is the hundred thousands digit of 7046455? 0 What is the ten thousands digit of 14384177? 8 What is the thousands digit of 661547? 1 What is the hundreds digit of 421069? 0 What is the thousands digit of 12249445? 9 What is the tens digit of 816905? 0 What is the hundreds digit of 71722? 7 What is the hundreds digit of 6125372? 3 What is the units digit of 25440834? 4 What is the ten thousands digit of 4641713? 4 What is the thousands digit of 1050892? 0 What is the ten thousands digit of 2711475? 1 What is the ten thousands digit of 304138? 0 What is the units digit of 270662? 2 What is the units digit
{ "pile_set_name": "DM Mathematics" }
(4) a prime number? False Let h(m) = -17*m - 21. Let a be h(-6). Suppose -295 = 82*z - a*z. Is ((-12)/20)/(1/z) prime? False Let q = 16 + -11. Let k(b) = -4*b - 3 - 13*b**2 + 53*b**2 - 16*b**2 - 20*b**2. Is k(q) a prime number? False Let v = -42893 - -28831. Let h = -4224 - v. Is h composite? True Let m(y) = 3*y**3 + 4*y + 12. Suppose 5*q = -18 - 7. Let a(v) = 6*v + 37. Let s be a(q). Is m(s) prime? True Suppose -h - 2*l = -45041 + 364, l - 223385 = -5*h. Is h a prime number? False Let s = -32642 - -67791. Is s a composite number? False Is 11008320/60 - 4*11/4 prime? True Let z(f) = f - 13. Let v be z(-3). Let x be -3*(v/(-10) - (-10)/25). Let d(u) = 44*u**2 + 5*u + 9. Is d(x) composite? True Suppose n = r + 37 + 86, 0 = -4*r + 5*n - 489. Let c be (3 - (-7)/(-3))/((-7)/r). Is (-3747)/2*c/(-18) a prime number? True Suppose -2*b + 3 = -3. Let x = 89 + -96. Is 9058/b - x/(-21) a prime number? True Let z(r) = 1099*r - 105. Let n(h) = -550*h + 55. Let w(o) = 7*n(o) + 4*z(o). Is w(7) prime? False Let o = -293415 - -686212. Is o a prime number? False Let y be (-105)/(-90)*18/(-3)*-1. Suppose 0 = -y*x - 19777 + 160190. Is x a prime number? False Suppose 5*f - 7214 = 4*z, 3*z - 2879 = -2*f - 2*z. Suppose 3*h + 2*g = -h + f, 0 = -h - 3*g + 368. Is h a prime number? True Let h = 251 + -255. Is 4 + (0 - (-1 + h) - -3740) prime? False Let p(f) = f**3 + 36*f**2 - 23*f - 241. Is p(-32) a composite number? False Suppose 17*h - 23*h = -244254. Is h prime? True Suppose 0 = -v + 4*d - 6*d + 5032, -d + 15121 = 3*v. Suppose 507 + 487 = o + 5*z, -5*o - z + v = 0. Is o composite? False Let k = 159635 - -117800. Is k prime? False Suppose 4*n + 159 = -4*w + 39, 5*n = 0. Let r be 3/(-2)*(-20)/w. Is -4 + r/(1/(-183)) a composite number? False Let o = -633 + 320. Let r be (-4)/10*(o - 17). Suppose -r = -5*x + 1123. Is x a composite number? False Let r(w) = 255*w + 13. Let z be (-3)/(-6)*(-7 - 7). Let n(q) = -128*q - 6. Let p(v) = z*n(v) - 3*r(v). Is p(2) a composite number? True Let i(h) = -14*h - 26. Let k be i(-2). Suppose -w = k*n + 3*w - 1906, 2*w = n - 941. Is n a prime number? True Let h be 17/(-34)*-3 - (-11)/2. Is 39387 + (-25 + h)/9 a composite number? True Suppose -f + 57 = 3*v + 2*v, -15 = 5*v. Let x be (-10)/(30/(-12) + -4 + 6). Is -2*1/2 + (f - x) prime? False Suppose 4*j + 458 = 3*z - 81220, 81678 = 3*z + 2*j. Is z composite? True Is (12 - -53939) + (4 - (2 + 0))*1 prime? False Let q(o) = 284*o - 13. Let j be 0 + (117/27 - 5/(-3)). Is q(j) a prime number? False Suppose -5*g + 17574 = -2*q, -5*g + 12069 + 5499 = q. Suppose 2*h = -5*z + 1764, -2*h = -6*h - 3*z + g. Is h a composite number? False Is (114743/(-5))/((5 - -3)/(-40)) a composite number? False Suppose 0 = -16*i - 676993 + 4707853 + 937028. Is i composite? True Let k(j) = -j**3 + 4*j**2 + 2*j - 8. Suppose -5*w = 2*z - 10, -6*z + z = -w + 29. Let n be k(w). Suppose n = 4*c - 0*c - 148. Is c a composite number? False Let m = 129726 + -25213. Is m a composite number? False Let g(c) = 19*c**2 + 4*c + 29. Let b = 200 + -192. Is g(b) a composite number? False Suppose -33*o + 1704 - 516 = 0. Suppose -o*x + 19*x = -53771. Is x prime? True Suppose -k - 2*i = -229677, 29*k = 27*k + 2*i + 459366. Is k a prime number? True Let t(q) = -23*q**2 - 6*q + 3. Let y be t(5). Let c = 281 + y. Let i = c - -862. Is i composite? False Suppose -3*i + 6 = -2*i - 3*f, -3*i + 2*f = -11. Suppose i*s + 1 = 4*j - 3, 0 = 5*s - 5*j. Is (-6)/(s - (-894)/(-223)) prime? False Suppose 9*v - 117321 - 33618 = 0. Is (v/(-124))/(1/(-28)) composite? True Suppose c = -6*j + 5*j + 2, -c - 2*j = -4. Suppose c*t + 5*t = 15. Suppose 121 = 2*u - l, 4*u - t*l + 109 = 6*u. Is u composite? False Suppose 0 = 4*c - 13*c. Suppose -d = -2*g - 11, -21 = 4*g - d - c. Is 4 + g + 1637 + -3 a prime number? False Suppose 12*s = -1719 - 849. Let c = s + 4017. Is c a prime number? True Let h = -1049 + 496. Let i = h + 821. Suppose 4*s + 764 + 260 = 4*t, 3*s - i = -t. Is t a prime number? False Suppose 418 = s - 97. Suppose -520*d + s*d + 18935 = 0. Is d prime? False Let b(a) = -178*a - 210. Let g be b(-14). Let p = g - 645. Is p a prime number? True Let g(f) = -260*f + 16. Let c be g(3). Let h be 4 - ((-1 - c) + 0). Is h/(-6) + (-4)/(-8) prime? True Let t be (-660)/(-130) - (-2)/(-26). Is (2 + (-20)/8)/(t/(-39890)) composite? False Let n be (3 - 44/12)*(6 - 543). Let w = n - 137. Is w prime? False Suppose -4*x - 7*t = -2*t - 512012, 5*x - 640015 = -5*t. Is x prime? False Let z = 21303 + 6806. Is z a composite number? False Let o = 124 - -86. Let y be 2408 + (o/(-55) - (-4)/(-22)). Let w = y + -1022. Is w prime? False Let d(u) = 67427*u**2 + u - 5. Is d(-1) composite? False Let j = 2 + 3. Suppose 3*y - 5*p = 4295, -2*p = j*y - 5*p - 7137. Suppose -974 = -g - g + 4*f, 3*g + 3*f = y. Is g prime? True Let a be (28/5)/((-9)/((-675)/6)). Let m be (7 - a)/((-2)/((-100)/(-3))). Suppose m = 5*q - 1295. Is q composite? True Suppose 253469 = 10*s - 41081. Suppose 0 = -2*g - 2*n + n + s, 0 = g - n - 14726. Is g prime? False Suppose -4*j + 71 = 95. Is 4/j*9/30*-88535 a composite number? False Let b(t) = 3*t - 434*t**3 + 17 - 2*t**2 - 33 + 18 + 3*t**2. Let u be b(-1). Suppose u = 5*o - 456. Is o composite? True Let i be (-11 - 184)*3*(5 - 0). Let o = i + 7318. Is o a prime number? False Suppose -10*y - 5*v - 708553 = -13*y, -y + 2*v + 236183 = 0. Is y a composite number? True Suppose -7*s + 12 = -10*s, 0 = 3*t + 2*s + 20. Let y(l) be the second derivative of -140*l**3/3 - 21*l**2/2 - 3*l. Is y(t) prime? False Let t(s) = 1396*s**2 + 3*s - 2. Suppose a - 20 = -5*n + 15, n - 45 = -4*a. Suppose -a = 5*i - 15*i. Is t(i) a prime number? False Let w(l) = 115*l**2 - 399*l + 91. Is w(34) a composite number? True Suppose -23*k - 3 = -325. Suppose 9*z - k*z = -1535. Is z composite? False Is (-188)/(-1974) + 3784238/42 composite? True Let d = -193239 + 357560. Is d a composite number? False Suppose 4*w = 2*p + 167070, -4*w + 3*p + 64969 = -102102. Is w a prime number? False Suppose -w + 89103 = 5194. Is w composite? True Let y(m) = 15*m**2 - 6*m - 241. Is y(-26) a prime number? False Is 0 - 8/(-60) - 3786563/(-165) prime? False Let u(a) = 3*a**2 + 10*a - 2. Let m(g) = 5*g**2 + 10*g - 1. Let t be m(-3). Suppose 6*n = t*n + 88. Is u(n) prime? True Let l be (-13)/(-13) - -1*1. Let y be 6551 - (5/(-1) - (-6)/l). Suppose -y = -7*u - 1170. Is u prime? True Let w(u) = 192*u + 13. Let h(y) = y**3 - 23*y**2 + 42*y - 6. Let o be h(21). Let s be (1 - (-8)/o) + 220/66. Is w(s) a composite number? True Let k(q) = -56*q + 28*q**2 - 5 - 23*q**2 + 65*q. Let s be (0 + 28/(-16))*4. Is k(s) composite? True Let q = -839439 - -229940. Is 3 - 2/(-2) - q/67 a composite number? True Suppose y - 1671046 = -25*y. Is y a prime number? True Let c(v) = -6845*v + 6863*v + 24 + 14*v**2 - 93. Is c(18) a prime number? False Suppose 1 = 4*n - 5*l - 11, n = 5*l + 3. Let j(v) = 4*v - 10. Let h be j(n). Suppose -3*i - h*i + 6095 = 0. Is i a prime number? False Suppose 3*k + 0*k + 96675 = 3*j, j = -k + 32215. Let s = -8149 + j. Is s a composite number? False Let a(q) = q**2 - 26*q + 78. Let m be a(23). Suppose -d - 47352 = -m*d. Is d prime? False Suppose 28*j + 9*j + 367854 = 0. Is ((-160)/(-24) - 8)*j/8 prime? True Let t = 1763 + -838. Suppose w - t = 2373. Let m = -1589 + w. Is m composite? False Let u(s) be the second derivative of -14*s + 0*s**2 + 0 - 223/6*s**3. Is u(-1) a prime number? True Let q(s) = 2469*s + 5117. Is q(18) a composite number? False Suppose -239*m + 1513978 = 3*d - 238*m, d = 3*m + 504676. Is d composite? False Let s = 128 + -51. Let y = s + -73. Suppose 0 = y*m + x - 621 - 45, 4*m + 2*x = 668. Is m prime? False Let i(l) be the second derivative of 106*l**3/3 - 11*l**2/2 - 660*l. Let u be 170/8 + 2/(-8). Is i(u) composite? False Let d be ((-142)/(-213))/((-1)/3). Let u(q) = -3*q**2 - 7*q - 97*q**3 - 235*q**3 + 1 + 3*q. Is u(d) a composite number? True Let n(z) = -50 - 17*z + 117*z**2 - 38 + 77. Is n(-5) prime? True Suppose 8*y - 5*y + 121550 = s, y = -s + 121562. Is s a prime number? True Let x(b) = -b**3 + 8*b**2 + 52*b - 1. Let d be x(12). Suppose d*h - 227449 + 42410 = 0. Is h composite? True Is (-5)/(6 - (-3 - -8)) + (-74348)/(-1) a prime number? False Let k(p) = 45*p**2 + 6*p - 12. Let q b
{ "pile_set_name": "DM Mathematics" }
1 g. 3/280 Two letters picked without replacement from vovovvovvovvvooovvoo. What is prob of picking 2 o? 18/95 Four letters picked without replacement from {x: 15, f: 5}. What is prob of picking 2 f and 2 x? 70/323 Calculate prob of picking 2 b when two letters picked without replacement from kmbbbbjjbbhh. 5/22 Calculate prob of picking 1 j and 3 g when four letters picked without replacement from {j: 3, g: 4}. 12/35 Calculate prob of picking 3 f when three letters picked without replacement from fffffffff. 1 Three letters picked without replacement from {d: 7, k: 12}. Give prob of picking 3 d. 35/969 Calculate prob of picking 1 c and 1 p when two letters picked without replacement from pdsmlpddclll. 1/33 Two letters picked without replacement from {p: 3, i: 2, h: 2, v: 1, r: 10, c: 1}. What is prob of picking 1 i and 1 v? 2/171 Two letters picked without replacement from phptdhpdud. What is prob of picking 2 d? 1/15 Two letters picked without replacement from xocxoxqoqqxxvqo. What is prob of picking 1 v and 1 x? 1/21 Calculate prob of picking 2 f and 2 a when four letters picked without replacement from {f: 3, l: 1, a: 12}. 99/910 Two letters picked without replacement from kyykkykykkkyk. What is prob of picking 2 y? 5/39 Two letters picked without replacement from {j: 6, x: 1, k: 5, c: 4, a: 4}. What is prob of picking 2 j? 3/38 Calculate prob of picking 1 w and 1 q when two letters picked without replacement from ttttctcwwqtwtqt. 2/35 What is prob of picking 1 q and 1 h when two letters picked without replacement from wwhhwhwwq? 1/12 Three letters picked without replacement from {z: 8, y: 2, n: 4}. Give prob of picking 3 n. 1/91 What is prob of picking 2 d when two letters picked without replacement from drydy? 1/10 Four letters picked without replacement from ommmommamomomammma. Give prob of picking 3 a and 1 o. 1/765 Two letters picked without replacement from {v: 16, n: 2}. What is prob of picking 2 v? 40/51 What is prob of picking 2 m and 1 g when three letters picked without replacement from gtrmgmgzg? 1/21 What is prob of picking 2 n when two letters picked without replacement from {d: 10, r: 2, n: 3}? 1/35 What is prob of picking 2 y when two letters picked without replacement from yzzyzzzzzzzzzzzzzzz? 1/171 Calculate prob of picking 3 s and 1 e when four letters picked without replacement from {e: 3, s: 3}. 1/5 Three letters picked without replacement from ttwtxbtw. What is prob of picking 3 t? 1/14 What is prob of picking 2 n when two letters picked without replacement from {w: 2, b: 1, n: 2}? 1/10 Calculate prob of picking 1 i and 2 d when three letters picked without replacement from idiidi. 1/5 Three letters picked without replacement from hvnivhnnvv. What is prob of picking 1 n and 2 h? 1/40 Two letters picked without replacement from abebahkp. Give prob of picking 2 b. 1/28 Four letters picked without replacement from {f: 5, s: 2, r: 5}. What is prob of picking 1 f, 1 r, and 2 s? 5/99 Four letters picked without replacement from tdddddtttttd. Give prob of picking 4 d. 1/33 Three letters picked without replacement from ldkqlvidkld. What is prob of picking 1 i, 1 l, and 1 v? 1/55 Two letters picked without replacement from {j: 1, u: 5, p: 1, q: 3, x: 1}. Give prob of picking 2 x. 0 Two letters picked without replacement from {d: 6, k: 7}. What is prob of picking 1 d and 1 k? 7/13 What is prob of picking 2 t when two letters picked without replacement from {t: 5, u: 4, l: 2}? 2/11 Two letters picked without replacement from pkppbpbb. What is prob of picking 1 b and 1 p? 3/7 Calculate prob of picking 4 i when four letters picked without replacement from {i: 4, b: 4, u: 3}. 1/330 Three letters picked without replacement from {d: 6, u: 9, f: 4}. Give prob of picking 2 d and 1 u. 45/323 Calculate prob of picking 1 o, 1 t, and 2 q when four letters picked without replacement from tqqoqqtqqtqootqq. 108/455 What is prob of picking 2 t, 1 d, and 1 k when four letters picked without replacement from kdytetdk? 2/35 What is prob of picking 2 f when two letters picked without replacement from fpffrrffrprprfpprfrr? 21/190 Three letters picked without replacement from {a: 1, e: 2, x: 1, r: 1, v: 2}. Give prob of picking 2 v and 1 a. 1/35 Two letters picked without replacement from {f: 7, v: 3}. Give prob of picking 2 v. 1/15 Calculate prob of picking 2 y and 1 a when three letters picked without replacement from awayywawywyywayyw. 21/170 Calculate prob of picking 2 b when two letters picked without replacement from bdbbdbd. 2/7 Three letters picked without replacement from ymyyynn. What is prob of picking 1 y and 2 n? 4/35 Three letters picked without replacement from {z: 2, g: 2, r: 5}. What is prob of picking 1 g and 2 r? 5/21 What is prob of picking 1 h and 1 b when two letters picked without replacement from nbvaaaasasaahan? 1/105 Four letters picked without replacement from yrryyy. Give prob of picking 1 r and 3 y. 8/15 Calculate prob of picking 2 z when two letters picked without replacement from {i: 8, z: 2, g: 2, d: 2}. 1/91 Four letters picked without replacement from {k: 1, h: 2, i: 4, o: 7, y: 3}. What is prob of picking 1 i, 2 y, and 1 k? 3/595 Calculate prob of picking 1 c and 1 u when two letters picked without replacement from bucuxuyuscsyxcbuu. 9/68 Two letters picked without replacement from {a: 5, k: 3}. Give prob of picking 2 k. 3/28 Calculate prob of picking 2 r when two letters picked without replacement from {i: 6, a: 10, r: 4}. 3/95 Three letters picked without replacement from {c: 5, k: 2}. What is prob of picking 3 c? 2/7 Two letters picked without replacement from occco. Give prob of picking 2 c. 3/10 What is prob of picking 1 o and 2 q when three letters picked without replacement from oooooooqooqoqooo? 39/560 Calculate prob of picking 1 k and 1 m when two letters picked without replacement from kjfjmm. 2/15 Two letters picked without replacement from hhnnneh. Give prob of picking 2 n. 1/7 Calculate prob of picking 1 c and 2 z when three letters picked without replacement from zczzc. 3/5 Three letters picked without replacement from {w: 6, d: 4}. What is prob of picking 2 d and 1 w? 3/10 Four letters picked without replacement from {t: 6, b: 7}. What is prob of picking 2 b and 2 t? 63/143 Two letters picked without replacement from pwwptgpwwwwwywtwuww. What is prob of picking 2 t? 1/171 Calculate prob of picking 1 d and 1 c when two letters picked without replacement from kcaod. 1/10 Four letters picked without replacement from dyfffaadyaudfyyu. What is prob of picking 1 y and 3 f? 4/455 Two letters picked without replacement from mywmwmw. Give prob of picking 2 w. 1/7 Three letters picked without replacement from doaokkakkookpao. What is prob of picking 1 p and 2 o? 2/91 What is prob of picking 1 o, 1 y, 1 v, and 1 u when four letters picked without replacement from dvouyvucdduddddd? 3/910 Calculate prob of picking 2 u when two letters picked without replacement from lllllllllull. 0 Calculate prob of picking 1 p and 1 l when two letters picked without replacement from ppppppplpppp. 1/6 Four letters picked without replacement from {s: 4, m: 2, j: 4, r: 5}. What is prob of picking 2 s, 1 r, and 1 m? 4/91 Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {r: 1, y: 2, p: 1}. 1/6 Calculate prob of picking 2 o and 2 k when four letters picked without replacement from {k: 6, t: 1, l: 7, o: 5}. 25/646 Calculate prob of picking 1 y and 1 c when two letters picked without replacement from qeeeeeecyeeecege. 1/60 Calculate prob of picking 1 t and 2 e when three letters picked without replacement from eeetteeetttt. 9/22 Three letters picked without replacement from lllflfbljfljflljjcbu. What is prob of picking 1 f, 1 u, and 1 j? 4/285 What is prob of picking 2 a when two letters picked without replacement from {r: 3, a: 2}? 1/10 Four letters picked without replacement from {a: 2, f: 17}. Give prob of picking 3 f and 1 a. 20/57 Three letters picked without replacement from irijviijivbivvvvb. Give prob of picking 1 r, 1 b, and 1 j. 1/170 Two letters picked without replacement from {r: 4, q: 8, l: 1, j: 5}. Give prob of picking 1 q and 1 j. 40/153 Two letters picked without replacement fr
{ "pile_set_name": "DM Mathematics" }
ivative of -28*r**3/3 - 2*r**2 + 623. What is 4*f(s) + 3*y(s)? 24*s**2 Let g(u) = 38*u - 47. Let y(b) = -56*b + 68. Give -7*g(r) - 5*y(r). 14*r - 11 Let g(c) = -11*c + 175. Let w(m) = 19*m - 354. Determine -5*g(o) - 3*w(o). -2*o + 187 Let w(k) = -1890*k**3 - 14*k**2 + 7*k - 14. Let m(p) = -946*p**3 - 8*p**2 + 4*p - 8. Give 7*m(d) - 4*w(d). 938*d**3 Let t(q) = -11*q + 129. Suppose -10*x - 21 = -15 + 74. Let g(m) = -4*m + 43. What is x*g(a) + 3*t(a)? -a + 43 Let c(r) = -578*r + 540. Let p(h) = -99*h + 90. What is -6*c(l) + 35*p(l)? 3*l - 90 Let a(l) = -18*l**2 + 4*l - 7. Let t = 119551 + -119558. Let k(v) = -9*v**2 + 2*v - 4. Let r = -2 - -6. Determine r*a(j) + t*k(j). -9*j**2 + 2*j Suppose 1139 = 39*r + 1256. Let q(t) = -5*t**2 - t + 5. Let k(m) = 6*m**2 + 2*m - 6. Give r*k(j) - 4*q(j). 2*j**2 - 2*j - 2 Let l(q) = q**2 - 6*q. Suppose -8 = -3*n - 7*h + 5*h, 4*n = -5*h + 6. Let u(j) = -5*j. Calculate n*u(i) - 3*l(i). -3*i**2 - 2*i Let y(d) = d**2 + 23*d + 1. Let n(m) = 5*m**2 + 127*m + 6. Let b(a) = 2*n(a) - 11*y(a). Let x(l) = -24*l**2 + 30*l + 30. Give 90*b(q) - 3*x(q). -18*q**2 Let k(r) = -2*r**3 - 2*r**2 - 1. Let l(m) = -17*m**3 - 5*m**2 + 6*m - 1. What is -3*k(g) + l(g)? -11*g**3 + g**2 + 6*g + 2 Let g(o) = -1. Let m(k) = -k**2 + 26*k + 26. Let i be m(-1). Let z be (9/6)/((-4)/(-8)). Let y(n) = 2*n**2 - 2*n**2 - 1 - 2 + n**z. Give i*y(w) + 3*g(w). -w**3 Let v(t) = 4*t**3 + 3*t**2 + 4*t + 2. Let k(r) = -r**3 - r**2 - r. Suppose -3*y + 4*x - 3 = 0, -5*y - 56*x = -55*x + 5. Determine y*v(p) - 2*k(p). -2*p**3 - p**2 - 2*p - 2 Let w(l) = 3313*l**3 + 6*l**2 - l + 2. Let y(m) = -16566*m**3 - 32*m**2 + 6*m - 10. Determine 16*w(s) + 3*y(s). 3310*s**3 + 2*s + 2 Let w(k) = 2061*k**2 - 378. Let a(q) = -412*q**2 + 72. Give -21*a(l) - 4*w(l). 408*l**2 Let g(b) = -189*b**3 - 9*b**2 - 8*b + 4. Let k(l) = -189*l**3 - 11*l**2 - 10*l + 5. What is -5*g(n) + 4*k(n)? 189*n**3 + n**2 Let f(h) = 4*h + 5. Let s = 138930 + -138926. Let a(u) = 4*u + 6. Let t(v) = 20*v + 30. Let k(j) = -16*a(j) + 3*t(j). What is s*f(g) + 3*k(g)? 4*g + 2 Let p(h) = -3. Let k(l) = l**3 - l**2 + 3*l + 129. What is k(z) + 3*p(z)? z**3 - z**2 + 3*z + 120 Let j = 17 + 9. Suppose 23*p = j*p + 18. Let c(n) = 2*n**3 - 6*n**2 + 5*n + 3. Let u(k) = -6*k**3 + 17*k**2 - 14*k - 8. Determine p*u(i) - 17*c(i). 2*i**3 - i - 3 Let h(r) = -2*r**3 - 12*r**2. Suppose 4*i + a + 6 = 0, -16*i = -19*i + 3*a - 27. Let f(c) = -c**3 - 6*c**2. Determine i*h(p) + 5*f(p). p**3 + 6*p**2 Let u be ((0 - 1) + 2)*6. Let v(p) = 2*p**2 + 2*p - 9. Let j = 1297 - 1283. Let o(h) = -h**2 - h + 4. What is j*o(l) + u*v(l)? -2*l**2 - 2*l + 2 Let p(o) = 108*o - 375. Let h(v) = 54*v - 152. Determine 9*h(n) - 4*p(n). 54*n + 132 Let t be 56/(-49)*(-4 + (-90)/(-12)). Let q(l) = 5*l - 6. Let g(w) = 6*w - 7. What is t*g(r) + 5*q(r)? r - 2 Let r(n) = n. Let w(o) = 4872*o. Calculate -29*r(i) + w(i). 4843*i Let k(x) = 190*x + 44. Let w(l) = 761*l + 185. Give 17*k(f) - 4*w(f). 186*f + 8 Let z(f) = -13*f + 17. Let w(g) = 5*g - 6. Let b(u) = -8*w(u) - 3*z(u). Let m(t) = 3*t + 10. Let v be ((-126)/(-24) + 0)/(1/(-4)). What is v*b(k) - 6*m(k)? 3*k + 3 Let h(f) = -f**2 + 7*f + 15. Let d(o) = 5*o**2 + 7*o + 18. Let k(i) = -2*d(i) + 3*h(i). Let j(x) = -7*x**2 + 4*x + 5. What is -11*j(w) + 6*k(w)? -w**2 - 2*w - 1 Let v = 88 + -77. Let w(c) = -2*c**3 + 11*c**2 - 11*c - 11. Let n(t) = 2*t**2 + 4*t + 542*t**3 + 4 - 6*t**2 - 541*t**3. Calculate v*n(s) + 4*w(s). 3*s**3 Let y be -2 - 2*124/(-20)*5. Suppose -81*l + y = -101*l. Let z(k) = -k**2 - k. Let g(v) = 4*v**2 + 3*v. Calculate l*z(o) - g(o). -o**2 Let c(f) = -6*f - 27. Let s(i) = i + 6. Let j(x) = 2*c(x) + 9*s(x). Let g(m) = -7*m + 44 + 8*m - 44. Determine -30*g(r) - 6*j(r). -12*r Suppose 18 = -3*u - 0*u. Let i(h) = -45 + h - h + 30 + 13 + 10 + 10*h**2. Let b(m) = -11*m**2 - 9. Calculate u*b(g) - 7*i(g). -4*g**2 - 2 Let b(d) = 2*d**2 + 8*d - 27. Let s(n) = 2*n**2 - 4*n - 47. Let g(r) = r**2 - 4*r - 27. Let y(a) = 3*g(a) - 2*s(a). Determine -3*b(h) - 7*y(h). h**2 + 4*h - 10 Let h(q) = -336*q + 27. Let u(b) = -b + 8. Determine -h(y) + 4*u(y). 332*y + 5 Let h(v) = 447*v + 3. Let p(z) = -297*z - 2. What is 5*h(q) + 8*p(q)? -141*q - 1 Let k(w) = -w**2 - w. Let g(r) be the first derivative of -5*r**3/3 - 3*r**2 - 3*r - 5588. Suppose 5 - 7 = 2*a. Determine a*g(z) + 6*k(z). -z**2 + 3 Let i(b) = 16*b - 7. Let z(f) = -17*f + 6. Calculate 5*i(q) + 6*z(q). -22*q + 1 Let y(p) = -2*p + 6. Suppose 0 = 4*s - 9*s - 25. Suppose -19*x + 1758 = 1701. Let j(o) be the first derivative of -o**2/2 + 3*o - 1. Determine s*j(d) + x*y(d). -d + 3 Let t(f) = 223*f**3 - 2*f**2 - 14. Let x(k) = 194*k**3 - k**2 - 14. Give 5*t(n) - 6*x(n). -49*n**3 - 4*n**2 + 14 Let j(i) = -2*i**3 + 5*i - 1. Let x(d) = -d**3 + d. Suppose -29*r - 3*t - 19 = -25*r, -t = 3*r + 8. What is r*j(k) + 5*x(k)? -3*k**3 + 1 Let k(w) = -10*w**3 + w - 12. Let d(f) = -f**3 - 8*f**2 - 14*f - 3. Let s be d(-6). Let u be 3*2/s*(-522)/(-174). Let z(r) = r**3 + 1. What is u*k(h) + 22*z(h)? 2*h**3 + 2*h - 2 Let d(z) = z. Let r(s) = 20*s - 1. Let h = 16669 - 16672. Give h*d(c) - r(c). -23*c + 1 Let z(v) = 37*v + 606. Let k(j) = 20*j + 301. What is 11*k(w) - 6*z(w)? -2*w - 325 Let x(i) = -3*i**2 - 15*i - 36. Let g(k) = -2*k**2 - 15*k - 30. Let q(w) = 6*g(w) - 5*x(w). Let y(c) = -16*c**2 + 74*c. Calculate 11*q(o) + 2*y(o). o**2 - 17*o Let f(a) = 4*a + 27. Let w = -4579 - -4576. Let t(c) = -5*c - 27. Determine w*f(b) - 2*t(b). -2*b - 27 Let i(n) = -765*n**2 + 6*n + 77. Let u(y) = 1531*y**2 - 13*y - 167. Give 13*i(h) + 6*u(h). -759*h**2 - 1 Let z(d) be the first derivative of -26 + 2/3*d**3 + 3*d**2 - 6*d. Let t(m) = -4 + 5*m + 1 + 2*m**2 - 2. Determine 6*t(f) - 5*z(f). 2*f**2 Let i(v) = 82*v - 83*v + 3*v**3 - 2*v**3 - 6*v**3 - v**2 + 4*v**3. Let l(k) = 0*k - 3*k - 2*k - 3*k**3 - 2*k**2. Suppose -y - 1 = -0*y. What is y*l(b) + 4*i(b)? -b**3 - 2*b**2 + b Let m(y) = 3949*y - 22. Let j(c) = -85724893*c + 477587. Give 4*j(u) + 86834*m(u). 7894*u Let c(m) = 24*m**3 - 185*m**2 - 2*m + 2. Let z(k) = -71*k**3 + 558*k**2 + 7*k - 7. Give 7*c(s) + 2*z(s). 26*s**3 - 179*s**2 Let r(m) = -469*m - 133. Let a(l) = -7. Determine -38*a(t) + 2*r(t). -938*t Let a(v) = -7*v**3 - 3*v**2 + 178*v. Let j(g) = -3*g**3 - 2*g**2 + 179*g. Determine -2*a(y) + 3*j(y). 5*y**3 + 181*y Let w(t) = 4*t - 7. Let i(y) = 5*y - 6. Let q be (-1)/5*(-20)/(-24)*18. Determine q*i(b) + 4*w(b). b - 10 Let y(k) = -58*k**3 - 5*k**2 - 26. Let c(t) = -27*t**3 - 3*t**2 - 12. Determine 13*c(j) - 6*y(j). -3*j**3 - 9*j**2 Let m(t) = 5*t - 2. Let f(j) be the third derivative of -j**2 + 126*j + 0 + 1/6*j**4 - 1/2*j**3. Give -3*f(r) + 4*m(r). 8*r + 1 Let x(i) = 4*i - 6. Let k(v) be the second derivative of 1 + 4*v - 1/2*v**2 + 1/6*v**3. What is -5*k(w) + x(w)? -w - 1 Suppose -2*f + 1385 - 1393 = 0. Let s(c) = -5*c**3 - 5. Let l(y) = -3*y**3 - 2. Calculate f*s(t) + 10*l(t). -10*t**3 Let c(h) = 81*h - 1271. Let z be c(16). Let g(s) = 55*s + 25. Let d(w) = -7*w - 3. Calculate z*d(r) + 3*g(r). -10*r Let j(v) = -11*v - 5. Let f(r) = -8*r - 6. Let c(l) = -17*l - 13. Let y(s) = -3*c(s) + 7*f(s). Suppose -47*z = -254*z + 621. Determine z*j(d) - 5*y(d). -8*d Suppose 4*v - 684 = o - 2*o, -8 = -2*o. Let q = 166 - v. Let x(u) = 4*u - 5. Let y(s) = -s + 1. Determine q*x(d) - 20*y(d). 4*d Let c(y) = y. Suppose -3*l + 2 = -l. Let j(z) be the second derivative of -5*z**4/12 + z**3/2 + z**2/2 + 1277*z. What is l*j(i) - 3*c(i)? -5*i**2 + 1 Let k(c) = 2*c**2 + 13713*c + 27. Let h(g) = -5*g**2 - 34281*g - 65. Determine 5*h(z) + 12*k(z). -z**2 - 6849*z - 1 Let z(n) = -65*n - 523. Let x(r) = 114*r + 1045. Give -4*x(b) - 7*z(b). -b - 519 Let y(k) = -3*k**3 + 0*k**3 + 6649*k - 3*k**3 - 6646*k - 3 + 4*k**3. Let g(d) be the first derivative of -d**4/2 + 3*d**2/2 - 2*d + 6. Give -3*g(l) + 2*y(l). 2*l**3 - 3*l Let o(v) be the second derivative of v**3/6 - v. Let q(n) = -1. Let i = 10 - -54. Suppose -63*w - 1 = -i*w. Determine w*o(c) - 2*q(c). c + 2 Let v(z) = -437*z**2 + 15*z + 7. Let k(q) = 145*q**2 - 4*q - 2. What is 7*k(h) + 2*v(h)? 141*h**2 + 2*h Let j(h) = 622*h - 5. Let u(o) = 305*o - 2. What is 5*j(y) - 11*u(y)? -245*y - 3 Let o(c) = -4*c**3 - c**2 - 4*c + 24. Let x(d) = -5*d**3 - d**2 - 4*d + 22. Give -7*o(m) + 6*x(m). -2*m**3 + m**2 + 4*m - 36
{ "pile_set_name": "DM Mathematics" }
gest value? (a) y (b) -4 (c) -2 (d) q b Let l = 197 + -201. Which is the fourth biggest value? (a) l (b) -0.2 (c) -18 (d) -3 c Let v = -283 + 286. What is the third biggest value in 0.4, -0.032, 2, v? 0.4 Let t = -124 - -1114/9. Let p = 0.43 + -0.03. Which is the second smallest value? (a) -0.2 (b) t (c) 0.3 (d) p a Let z(v) = -v + 6. Let y be z(10). Let q be (-2)/y*2 - 5. Let m = 66.9 - 66. What is the second smallest value in -3/4, q, m? -3/4 Let h = -5 + 0. Let y = 499/255 + -31/17. Which is the biggest value? (a) -10/3 (b) y (c) h b Let u = -2.6 + 3. Let n = -11/2 + 5. What is the second biggest value in n, u, 0.3? 0.3 Let u be (95/(-4))/5 + 6/8. Let k be u - (35/10)/(-1). What is the fourth biggest value in 1/4, k, -1/3, -0.1? k Let u(j) = j**2 - 6*j + 7. Let f be u(5). Let b(g) = g + 7. Let t be b(-7). Let z = -15 - -11. What is the second smallest value in z, f, t? t Let x = 1 + -6. Let n = -1.6 - -0.4. Let y = 1.6 + n. Which is the smallest value? (a) y (b) 0.5 (c) x c Let j = 4.41 - 4.31. Let x = -159/2 - -81. Which is the second biggest value? (a) -1 (b) j (c) -14 (d) x b Let o = -6 + 21. Let g = o + -15.4. Let h = 34 - 236/7. What is the second smallest value in h, 5, g? h Let g(l) = 6*l - 115. Let j be g(18). Which is the second smallest value? (a) 0.6 (b) 0.3 (c) -4 (d) j c Let z = 93096 - 34817863/374. Let x = z - 5/22. What is the smallest value in 1/4, x, -2/9? -2/9 Let j = -0.5 - -2.4. What is the smallest value in 0.2, j, 9? 0.2 Suppose 0 = 4*q - 5*f + 9*f + 12, -6*f - 8 = q. Which is the second smallest value? (a) 2/7 (b) q (c) -2/7 (d) -1 d Let o = -14.94 + -0.06. Let s = 19 + -31. Let x = s - o. What is the biggest value in -0.1, x, -3? x Let m = -4 - -5. Let n = 3 - m. Let v be 1/4 - 90/168. Which is the second biggest value? (a) -0.1 (b) v (c) n a Let h = 81/518 - 1/74. Let o(l) = -l**3 + l**2 + l - 8. Let m be o(0). Let a be -2 + 2 + m/20. What is the second biggest value in h, a, 1/3? h Let z = -17.2 - -15.6. Let m = -2 - -3.3. Let f = m + z. Which is the second biggest value? (a) -2 (b) f (c) 0.4 b Let z = -34 + 34.5. Let w = 0 - 5. Which is the smallest value? (a) z (b) w (c) 5 b Let r = 7 - 2. Let t = 28 - 29.2. Let h = t - 3.8. Which is the third biggest value? (a) r (b) 1/9 (c) h c Let y = 138/5 + -28. Let l = -1.96 + 2. Which is the third biggest value? (a) 5 (b) y (c) l b Let d = -2/1413 - -4259/14130. What is the second biggest value in d, -2, 1? d Let q = 157/1295 + 4/185. Which is the biggest value? (a) -1 (b) q (c) 12 (d) 4 c Let n(j) = j**2 - 22*j + 98. Let q be n(16). Which is the biggest value? (a) q (b) -1 (c) -1/17 a Let t = 0 - -0.1. Let n be -4 + (11 - 1501/209). What is the biggest value in n, 1, 5, t? 5 Suppose x + 2*k - 2 = 0, -x - 47 = -2*k - 49. Which is the fourth smallest value? (a) 2/11 (b) x (c) -4 (d) 0.11 b Let g = -15 - -3. Let v be 3 - (-3 + (-80)/g). Let j = 0.1 + 0.2. Which is the second smallest value? (a) j (b) -3 (c) v c Suppose -2*i = i - 12, 0 = 5*y - i - 56. What is the third biggest value in -4, y, 0.1, 0.3? 0.1 Let o = 488 - 487.9. Which is the third smallest value? (a) 2 (b) o (c) -9 a Let g = -722/5 - -145. Let s = -14 - -16. What is the third biggest value in 0.3, g, s? 0.3 Let l = 48.85 - 48. Let f = l + 2.15. What is the second biggest value in -3, -4, f? -3 Let q be ((-12)/(-8))/((-153)/(-12)). Let n = -15.3 - -18.3. Which is the second smallest value? (a) n (b) -0.5 (c) 2/29 (d) q c Let o = -529 + 536. Let f(m) = m**3 - 7*m**2 + 6*m - 8. Let u be f(6). Let h be (6/u)/((-2)/(-8)). Which is the smallest value? (a) h (b) 1 (c) o a Let x = 15 + -14.6. Suppose 6*j - 5*i = 5*j - 37, 4*i = 20. Let g be -1 - -6 - (-12 - j). Which is the biggest value? (a) x (b) -2/11 (c) g c Let z = -478/2871 + -4/261. What is the third smallest value in z, -4, 2/5? 2/5 Suppose 5*z + 0 = -15. Let r = -9 + 17. Let j = -7 + r. What is the biggest value in 2/3, z, j? j Let q be 1/(-4) - -1 - 46/8. What is the fourth smallest value in 4, -0.5, -0.1, q? 4 Let i be 4266/(-1176) + (2 - -3). Let o = i + -6/49. Which is the third smallest value? (a) o (b) 1/9 (c) 4 c Let k(q) = -10*q + 267. Let x be k(27). Which is the biggest value? (a) x (b) -6 (c) -0.3 c Let t = 0.015 + 34.985. Let p = -32 + t. What is the smallest value in 4/5, p, -1? -1 Let f = 6902/15 + -460. Which is the second biggest value? (a) f (b) -3 (c) -0.1 c Let s = 7.2 + -4.3. Let t = s - 2.6. What is the third biggest value in 0, 4, t? 0 Let o(d) = -d**2 + 3*d. Let b be o(3). Let i = 15.97 + -13.97. What is the second smallest value in i, -0.3, b? b Let p(y) = -y**2 - y - 1. Let x(s) = -s**3 - s**2 - 8. Let i(b) = 5*p(b) - x(b). Let r be i(5). What is the second biggest value in -4, r, 2? 2 Let z = -72.4 - -72. What is the biggest value in 1/4, -10/7, z? 1/4 Suppose 2*m + 3*u - 4*u = -6, -u = 0. Let y = 5 + -1. Let o = -3.8 + y. Which is the biggest value? (a) m (b) 5 (c) o b Let y = -39.67 - 25.25. Let x = y - -65. Which is the smallest value? (a) 1 (b) -4 (c) x b Let b = -354 - -354.7. What is the third smallest value in 1/6, 2/5, b? b Let d be (264/(-36))/(2/42). Let o be 44/d - 94/(-35). Which is the second smallest value? (a) 2/7 (b) 0.1 (c) o a Let d = -1 + 14. Suppose -4*a = -3*a - 5*m + d, -m - 1 = -2*a. Suppose 4*u = a*u. What is the third smallest value in 5, -2/7, u? 5 Let y(n) = -n**3 + n**2 + 30*n + 1. Let s be y(6). What is the third biggest value in 4, s, 1.9, -5? s Let z be 10/(-25)*1*5. Let i = -0.93 + 1.13. Which is the smallest value? (a) z (b) 3 (c) i a Let g = 95 - 51. Let r be 510/(-100) - (-1 + -4). Which is the second smallest value? (a) r (b) g (c) 2/7 c Let g = -0.291 - 85.709. What is the third smallest value in g, 2/9, 3? 3 Let q be 15/(-2) + -29 + 33 - -5. What is the smallest value in -6, q, -1/2, 4? -6 Let k be ((-4)/6)/(44/(-9) - -5). Let z be (-30)/(-18)*k/(-5). Which is the biggest value? (a) 0.4 (b) z (c) 3/7 b Let c = 293/6 + -49. Suppose 0*y = 2*y + 8. Let d = -15 - -16. What is the biggest value in c, y, d? d Let t = -3 - -2. Let h = 0.37 + -0.12. Let v = 2.75 + h. Which is the third smallest value? (a) 2 (b) t (c) v c Let d = -875.3 + 875. Let f = 0 - -0.5. Let u = -2/77 - 12/77. Which is the smallest value? (a) u (b) d (c) f b Let x = -2644 + 2677. Which is the smallest value? (a) x (b) 4 (c) -0.2 c Let h = 0.5 + -1.5. Let y = h + 2. Let w = 3.36 - 0.36. Which is the third biggest value? (a) w (b) 0 (c) y b Suppose 11 = 27*k - 97. Let f = -2 - -5. What is the biggest value in -1, -4, f, k? k Let o be 1 + 0 - 15/27. Let w = 28.5 + -31. Let u = 3 + w. Which is the second smallest value? (a) u (b) o (c) 4/5 a Let i(k) = k**3 - 15*k**2 + 13*k + 14. Let v be i(14). Suppose -p - 5 + 0 = v. Let t = -6 + 5.9. What is the third biggest value in -1/4, t, p? p Let v be (4/8)/((-18)/4). Let w = 11 + -10.8. Let z = 134 + -136. Which is the third biggest value? (a) w (b) v (c) z c Suppose 4*i - 5 - 19 = 0. Suppose 0 = b - 3, -g + b + 3*b = 10. Suppose -g*p = -3*p - 4. What is the third smallest value in p, 4/3, i? i Let u = -196.107 - -0.107. What is the second biggest value in u, 5, 0.5? 0.5 Suppose 5*b + p = 10, 2*b + 2 = -2*p + 6. What is the second biggest value in b, -1/4, -4? -1/4 Let j be (9 - -5)*(-1)/2 - -4. Let g be (-1 - j/4)/(-1). Which is the third biggest value? (a) g (b) -2/23 (c) 0.3 (d) 2/9 d Suppose -39*b + 40*b - 4 = 0. Let m be (-72)/(-96)*b/(-6). What is the third smallest value in m, -7, -1? m Let h = 23 - 31. Let q = -18 - h. Let s be ((-4)/q)/((-32)/(-100)). Which is the second biggest value? (a) 5 (b) s (c) -0.3 b Let n = 246.9 + -247. What is the second smallest value in 1/3, n, 3/4? 1/3 Let d = -0.37 + 0.27. What is the third biggest value in d, -5/3, -0.4? -5/3 Let u = -260 - -262. What is the third smallest value in -2, u, -2/3, -4? -2/3 Let d = 29.1 - 25.1. Which is the second biggest value? (a) 66 (b) 2 (c) d c Let i = 30 - 21. Let o(m) = 3*m - 8. Let y be o(4). Let u = y - 4. Which is the third smallest value? (a) 1 (b) i (c) u b Let v = 0.036 + -3.036. Which is the third smallest value? (a) v (b) 0.3 (c) 3 c Let p = 1.11 - 1.13. Let q(s) = s**2
{ "pile_set_name": "DM Mathematics" }
580, 19053162, 28579744, 38106326? 9526582*h - 2 What is the f'th term of -2057, -2030, -1973, -1880, -1745? f**3 + 9*f**2 - 7*f - 2060 What is the q'th term of -214, -850, -1508, -2188, -2890, -3614, -4360? -11*q**2 - 603*q + 400 What is the n'th term of -7901, -15494, -23085, -30674, -38261, -45846, -53429? n**2 - 7596*n - 306 What is the p'th term of -2199351, -2199368, -2199409, -2199486, -2199611, -2199796? -2*p**3 - 3*p - 2199346 What is the h'th term of -132024, -132041, -132058, -132075, -132092, -132109? -17*h - 132007 What is the w'th term of 59356501, 118712999, 178069497, 237425995, 296782493, 356138991? 59356498*w + 3 What is the b'th term of -166418, -166239, -166058, -165875? b**2 + 176*b - 166595 What is the d'th term of 31650, 64859, 99630, 135963? 781*d**2 + 30866*d + 3 What is the o'th term of -633553, -1267099, -1900649, -2534203, -3167761? -2*o**2 - 633540*o - 11 What is the z'th term of -4954, -10123, -15292, -20461, -25630, -30799? -5169*z + 215 What is the m'th term of -29627, -30956, -33171, -36272, -40259, -45132? -443*m**2 - 29184 What is the q'th term of -369558, -369374, -369190, -369006, -368822, -368638? 184*q - 369742 What is the h'th term of 37931, 75712, 113493, 151274? 37781*h + 150 What is the k'th term of -750, -1316, -2854, -5850, -10790, -18160, -28446? -81*k**3 + k - 670 What is the t'th term of 7039, 7413, 8031, 8893? 122*t**2 + 8*t + 6909 What is the c'th term of -959161, -959183, -959205, -959227, -959249? -22*c - 959139 What is the g'th term of 3584, 12429, 21274? 8845*g - 5261 What is the b'th term of -975, -6119, -14681, -26649, -42011? 2*b**3 - 1721*b**2 + 5*b + 739 What is the c'th term of -109, -59, 45, 155, 223, 201, 41, -305? -8*c**3 + 75*c**2 - 119*c - 57 What is the q'th term of -653, -1087, -1297, -1283, -1045, -583? 112*q**2 - 770*q + 5 What is the v'th term of 921459, 921587, 921711, 921831, 921947? -2*v**2 + 134*v + 921327 What is the i'th term of -541474, -1082955, -1624436, -2165917? -541481*i + 7 What is the o'th term of 1392, 2654, 3978, 5394, 6932, 8622? 5*o**3 + o**2 + 1224*o + 162 What is the j'th term of -20392861, -40785719, -61178579, -81571441, -101964305? -j**2 - 20392855*j - 5 What is the p'th term of 68158, 68128, 68088, 68044, 68002, 67968, 67948, 67948? p**3 - 11*p**2 - 4*p + 68172 What is the b'th term of 52745, 105154, 157563, 209972, 262381, 314790? 52409*b + 336 What is the b'th term of 60, -4, -278, -762, -1456, -2360, -3474? -105*b**2 + 251*b - 86 What is the o'th term of -73072, -72156, -71240, -70324, -69408, -68492? 916*o - 73988 What is the a'th term of -85220367, -170440736, -255661105? -85220369*a + 2 What is the i'th term of 650, 1188, 1424, 1358, 990, 320? -151*i**2 + 991*i - 190 What is the b'th term of 22555, 45090, 67629, 90172, 112719? 2*b**2 + 22529*b + 24 What is the q'th term of -34364, -68803, -103234, -137657, -172072? 4*q**2 - 34451*q + 83 What is the g'th term of -148636, -148639, -148642, -148645? -3*g - 148633 What is the c'th term of 12495, 13193, 14357, 15987, 18083, 20645? 233*c**2 - c + 12263 What is the g'th term of -20191, -80566, -181167, -322000, -503071, -724386, -985951? -g**3 - 20107*g**2 - 47*g - 36 What is the l'th term of -6612, -6971, -7330, -7689, -8048? -359*l - 6253 What is the v'th term of -36252, -145753, -328258, -583767, -912280, -1313797, -1788318? -36502*v**2 + 5*v + 245 What is the m'th term of -12451727, -24903452, -37355177? -12451725*m - 2 What is the m'th term of 15989, 16193, 16527, 16985, 17561? -m**3 + 71*m**2 - 2*m + 15921 What is the s'th term of 326937, 325714, 323677, 320826, 317161, 312682, 307389? -407*s**2 - 2*s + 327346 What is the a'th term of 976, 1190, 1768, 2890, 4736? 30*a**3 + 2*a**2 - 2*a + 946 What is the p'th term of -33188, -32861, -32534, -32207, -31880, -31553? 327*p - 33515 What is the g'th term of -1365721, -2731437, -4097153, -5462869, -6828585? -1365716*g - 5 What is the h'th term of -58066, -54964, -51862, -48760, -45658? 3102*h - 61168 What is the l'th term of -4758563, -4758562, -4758561, -4758560? l - 4758564 What is the g'th term of 27659, 20616, 13573, 6530? -7043*g + 34702 What is the z'th term of 748, 388, -314, -1442, -3080, -5312, -8222, -11894? -14*z**3 - 87*z**2 - z + 850 What is the r'th term of -13056, -9236, 1126, 21300, 54556, 104164, 173394, 265516? 545*r**3 + r**2 + 2*r - 13604 What is the z'th term of 2715125, 5430261, 8145407, 10860563? 5*z**2 + 2715121*z - 1 What is the h'th term of 503, 4019, 13559, 32129, 62735, 108383, 172079? 501*h**3 + 6*h**2 - 9*h + 5 What is the z'th term of 28842, 73748, 118656, 163566, 208478? z**2 + 44903*z - 16062 What is the k'th term of -5167, -20395, -45689, -81049, -126475, -181967, -247525? -5033*k**2 - 129*k - 5 What is the x'th term of 806392, 806376, 806360, 806344? -16*x + 806408 What is the r'th term of 80, 289, 436, 521, 544? -31*r**2 + 302*r - 191 What is the j'th term of -1023310, -2046805, -3070300? -1023495*j + 185 What is the z'th term of 9159, 36843, 83297, 148779, 233547, 337859? 43*z**3 + 9127*z**2 + 2*z - 13 What is the t'th term of -269, -2071, -6799, -15863, -30673, -52639? -235*t**3 - 53*t**2 + 2*t + 17 What is the o'th term of -2145, -1844, -1339, -624, 307, 1460, 2841? o**3 + 96*o**2 + 6*o - 2248 What is the b'th term of 76837, 305638, 686977, 1220854? 76269*b**2 - 6*b + 574 What is the v'th term of 545710, 1091437, 1637178, 2182933, 2728702, 3274485? 7*v**2 + 545706*v - 3 What is the y'th term of 319, 2869, 9863, 23521, 46063? 370*y**3 + 2*y**2 - 46*y - 7 What is the v'th term of 924384359, 924384364, 924384371, 924384380? v**2 + 2*v + 924384356 What is the j'th term of -48214, -96922, -145630, -194338, -243046? -48708*j + 494 What is the c'th term of 987867, 1975725, 2963583, 3951441, 4939299? 987858*c + 9 What is the c'th term of 386779, 386560, 386339, 386116, 385891? -c**2 - 216*c + 386996 What is the a'th term of -829042, -1658071, -2487100, -3316129, -4145158? -829029*a - 13 What is the i'th term of 8998, 36139, 81414, 144823? 9067*i**2 - 60*i - 9 What is the t'th term of 13531, 19754, 25967, 32164, 38339? -t**3 + t**2 + 6227*t + 7304 What is the y'th term of 410806, 821615, 1232420, 1643221, 2054018, 2464811? -2*y**2 + 410815*y - 7 What is the y'th term of -11210, -22609, -34008, -45407? -11399*y + 189 What is the p'th term of 102806110, 205612221, 308418332? 102806111*p - 1 What is the g'th term of 3775622, 3775625, 3775624, 3775619, 3775610, 3775597, 3775580? -2*g**2 + 9*g + 3775615 What is the n'th term of -568, -6884, -17448, -32290, -51440, -74928? -5*n**3 - 2094*n**2 + n + 1530 What is the q'th term of 456548, 456523, 456498, 456473, 456448? -25*q + 456573 What is the x'th term of -3487, -35277, -88253, -162409, -257739, -374237, -511897, -670713? x**3 - 10599*x**2 + 7111 What is the r'th term of -38648, -147335, -328480, -582083, -908144? -36229*r**2 - 2419 What is the b'th term of 65168, 130350, 195546, 260756, 325980, 391218? 7*b**2 + 65161*b What is the t'th term of 439, 1024, 1717, 2512, 3403, 4384, 5449, 6592? -t**3 + 60*t**2 + 412*t - 32 What is the o'th term of -3312, -2044, 72, 3036, 6848, 11508, 17016? 424*o**2 - 4*o - 3732 What is the j'th term of -2949710, -5899418, -8849126, -11798834, -14748542? -2949708*j - 2 What is the h'th term of -1173951, -4695897, -10565805, -18783675, -29349507, -42263301? -1173981*h**2 - 3*h + 33 What is the a'th term of -4207738, -8415386, -12623034? -4207648*a - 90 What is the x'th term of 1507235, 1507240, 1507245, 1507250, 1507255? 5*x + 1507230 What is the g'th term of 179804, 179811, 179822, 179837, 179856, 179879? 2*g**2 + g + 179801 What is the a'th term of 55244, 55597, 55950, 56303, 56656, 57009? 353*a + 54891 What is the u'th term of -10991865, -21983721, -32975577, -43967433, -54959289? -10991856*u - 9 What is the q'th term of 1843, 1833, 1679, 1387, 963, 413, -257, -1041? q**3 - 78*q**2 + 217*q + 1703 What is the c'th term of -7382, -7925, -8830, -10097, -11726, -13717? -181*c**2 - 7201 What is the j'th term of -316812308, -316812309, -316812310, -316812311, -316812312, -316812313? -j - 316812307 What is the s'th term of -11071, -11082, -11089, -11092, -11091? 2*s**2 - 17*s - 11056 What is the d'th term of 2220, 2278, 2340, 2406, 2476, 2550? 2*d**
{ "pile_set_name": "DM Mathematics" }
-304? -361 What is the next term in 54, 109, 164, 219? 274 What is next in 109, 105, 91, 61, 9? -71 What is next in 18, 36, 68, 120, 198, 308, 456? 648 What is the next term in 96, 192, 288, 384, 480, 576? 672 What is the next term in -39, -73, -111, -159, -223, -309, -423, -571? -759 What is next in -4917, -4916, -4915, -4914, -4913, -4912? -4911 What comes next: 65, 101, 151, 221, 317, 445, 611? 821 What comes next: 29, 56, 83, 110? 137 What is the next term in 2532, 2531, 2530? 2529 What is next in 15, -29, -101, -201? -329 What comes next: 2642, 2641, 2640, 2639, 2638, 2637? 2636 What comes next: 53, 59, 63, 59, 41, 3, -61, -157? -291 What is next in 313, 316, 319? 322 What comes next: 39, 109, 289, 633, 1195, 2029, 3189, 4729? 6703 What is next in -457, -456, -455, -454, -453? -452 What comes next: -24, -59, -102, -141, -164, -159? -114 What is next in -11, -36, -85, -164, -279, -436, -641, -900? -1219 What is the next term in -117, -119, -123, -129, -137, -147, -159? -173 What is next in 46, 80, 114? 148 What is next in -406, -1650, -3724, -6628? -10362 What comes next: -20, 3, 40, 97, 180, 295? 448 What is the next term in -13, -9, -3, 5? 15 What is next in 140, 564, 1272, 2264, 3540, 5100? 6944 What is the next term in -1922, -3829, -5750, -7691, -9658, -11657, -13694? -15775 What is next in 191, 378, 565, 752? 939 What comes next: -62, 22, 106, 190? 274 What comes next: -44, -59, -90, -143, -224, -339, -494, -695? -948 What comes next: -156, -154, -138, -102, -40, 54? 186 What is the next term in 6, 16, 12, -24, -110, -264? -504 What comes next: -507, -511, -517, -525? -535 What comes next: -570, -560, -536, -492, -422, -320? -180 What is next in 399, 400, 401? 402 What comes next: -1714, -3426, -5136, -6844, -8550, -10254? -11956 What comes next: 6750, 13502, 20254, 27006, 33758? 40510 What is next in -90, -95, -100, -105? -110 What is next in -167, -310, -439, -548, -631? -682 What is next in -44, -336, -1120, -2642, -5148, -8884, -14096, -21030? -29932 What is next in -44, -77, -168, -347, -644, -1089? -1712 What is next in -16, -45, -90, -151, -228, -321, -430? -555 What is the next term in -1142, -1135, -1124, -1109, -1090? -1067 What comes next: -471, -943, -1415? -1887 What is the next term in 7, 217, 583, 1111, 1807, 2677, 3727? 4963 What is next in -36, -59, -118, -231, -416, -691, -1074? -1583 What comes next: 94, 121, 148, 175, 202? 229 What is the next term in 14, 46, 110, 218, 382, 614, 926, 1330? 1838 What comes next: 121, 923, 3095, 7321, 14285? 24671 What is next in 15, 20, 27, 36? 47 What is the next term in -3, 16, 57, 120, 205? 312 What comes next: 8, 61, 208, 497, 976? 1693 What comes next: -105, -104, -103, -102, -101? -100 What comes next: -74, -72, -78, -92, -114, -144? -182 What comes next: 10819, 10818, 10817, 10816, 10815, 10814? 10813 What is next in -260, -202, -48, 250, 740, 1470, 2488? 3842 What is next in -1409, -1407, -1393, -1361, -1305? -1219 What is the next term in 20, 3, -14, -31, -48, -65? -82 What is the next term in 433, 869, 1305, 1741, 2177, 2613? 3049 What is the next term in 605, 1219, 1851, 2507, 3193, 3915, 4679, 5491? 6357 What is next in -3495, -3506, -3531, -3576, -3647, -3750, -3891? -4076 What is the next term in 18, -1, -54, -147, -286? -477 What comes next: 47, 92, 159, 260, 407, 612, 887, 1244? 1695 What is the next term in -414, -407, -400? -393 What comes next: -94, -239, -432, -673, -962, -1299, -1684? -2117 What comes next: 336, 673, 1010, 1347, 1684? 2021 What comes next: -431, -861, -1291? -1721 What is the next term in 53, 567, 1967, 4697, 9201? 15923 What is the next term in -278, -282, -290, -302, -318? -338 What is next in 33, 65, 97? 129 What is next in -30, -27, -22, -15, -6, 5? 18 What comes next: 7126, 14254, 21382, 28510? 35638 What is the next term in 155, 185, 265, 419, 671? 1045 What comes next: -166, -332, -498, -664, -830? -996 What is the next term in 337, 347, 357, 367? 377 What comes next: 1, -10, -5, 40, 149? 346 What is next in -25995, -25993, -25991, -25989? -25987 What comes next: -516, -1033, -1548, -2061, -2572, -3081? -3588 What is next in -51, -122, -233, -378, -551, -746? -957 What comes next: 216, 225, 232, 237? 240 What is the next term in -138, -281, -424, -567? -710 What comes next: -550, -548, -546, -544, -542? -540 What comes next: 110, 119, 128, 137, 146, 155? 164 What is the next term in 25, 49, 83, 133, 205, 305, 439? 613 What comes next: -100, -107, -104, -85, -44, 25? 128 What comes next: -42, -104, -172, -246, -326, -412? -504 What comes next: 2008, 2006, 2004? 2002 What is the next term in 70, 76, 82, 88? 94 What comes next: -203, -412, -631, -866, -1123, -1408, -1727? -2086 What is the next term in 383, 384, 385? 386 What is the next term in 64, 260, 454, 646, 836, 1024? 1210 What is next in 34, 99, 196, 325, 486? 679 What comes next: 12, 22, 30, 36? 40 What is the next term in 1, -24, -63, -110, -159, -204? -239 What is the next term in -69, -77, -85? -93 What comes next: 683, 685, 687, 689, 691? 693 What comes next: -105, -391, -859, -1503, -2317? -3295 What is the next term in -5573, -5575, -5577, -5579? -5581 What is next in -166, -331, -496, -661? -826 What comes next: 178, 191, 212, 241? 278 What is next in 27, 81, 171, 303, 483, 717, 1011? 1371 What is the next term in 173, 360, 547, 734? 921 What is the next term in 237, 238, 233, 216, 181, 122, 33, -92? -259 What is the next term in -2373, -2374, -2375, -2376, -2377? -2378 What is next in 93357, 93363, 93379, 93411, 93465, 93547? 93663 What is next in 451, 897, 1341, 1783? 2223 What comes next: -90, -162, -206, -216, -186, -110? 18 What comes next: -8, 3, 48, 145, 312, 567, 928, 1413? 2040 What comes next: -163, -219, -275, -331? -387 What comes next: -2046, -2034, -2008, -1962, -1890, -1786, -1644? -1458 What is the next term in -28, -89, -182, -307, -464, -653? -874 What is the next term in -251, -498, -745, -992, -1239, -1486? -1733 What is next in -249, -498, -747, -996? -1245 What comes next: -204, -200, -194, -186, -176? -164 What is next in 278, 286, 294, 302, 310, 318? 326 What is next in -52, -58, -66, -76, -88, -102, -118? -136 What is next in 248, 482, 716, 950, 1184, 1418? 1652 What comes next: 272, 268, 264, 260, 256, 252? 248 What comes next: 85, 68, 41, 4, -43? -100 What is next in 50, -67, -378, -979, -1966, -3435, -5482? -8203 What is the next term in 18, 7, -6, -21, -38, -57? -78 What is the next term in -202, -230, -290, -394, -554, -782? -1090 What is the next term in 260, 238, 216, 194, 172? 150 What comes next: 101, 192, 283, 374, 465? 556 What is the next term in -23, -42, -75, -122? -183 What is next in 95, 184, 271, 356, 439, 520? 599 What is next in -15, 6, 63, 174, 357, 630, 1011, 1518? 2169 What is the next term in -1, -55, -147, -295, -517, -831? -1255 What is the next term in -229, -233, -239, -247? -257 What comes next: -3, -1, 15, 51, 113, 207? 339 What is the next term in 9, 47, 119, 243, 437, 719? 1107 What is the next term in -30625, -30624, -30623, -30622, -30621? -30620 What comes next: -1, -19, -27, -19, 11, 69? 161 What comes next: 43, 169, 379, 673, 1051, 1513? 2059 What comes next: -355, -704, -1053, -1402? -1751 What is the next term in 168, 159, 138, 99, 36, -57, -186? -357 What comes next: 121, 103, 65, 1, -95, -229, -407, -635? -919 What is next in -2537, -2532, -2517, -2486, -2433, -2352, -2237, -2082? -1881 What is the next term in 95, 189, 285, 383, 483, 585? 689 What comes next: -138, -263, -376, -471, -542, -583, -588, -551? -466 What comes next: -9, -78, -219, -438, -741? -1134 What is next in 39, 48, 61, 78? 99 What is next in -15, -50, -73, -78, -59, -10? 75 What comes next: 60, 98, 134, 168, 200? 230 What comes next: -54, -147, -276, -441? -642 What comes next: 133, 464, 1015, 1786, 2777? 3988 What comes next: 13, 61, 139, 247, 385, 553? 751 What is the next term in -73, -174, -277, -382, -489, -598? -709 What is the next term in -90, -139, -220, -333, -478? -655 What comes next: -51, -86, -121, -156, -191, -226? -261 What comes next: -161, -162, -163? -164 What is next in -684, -1365, -2046, -2727, -3408, -4089? -4770 What comes next: 12, 25, 46, 75, 112, 157, 210? 271 What is the next term in 714, 713, 712, 711, 710,
{ "pile_set_name": "DM Mathematics" }
0*u + 3. Find the second derivative of -4*c - 3*c**3 + 3*c**3 + 0*c**3 - 3*c**u wrt c. -18*c Find the third derivative of 132*r**2 + 6*r**4 - r**4 - 150*r**2 wrt r. 120*r Let t(h) be the third derivative of 11*h**8/336 + 3*h**5/20 - h**4/8 - 2*h**2 - 23*h. Find the third derivative of t(m) wrt m. 660*m**2 Let c be (-12)/8*(-10)/3. Differentiate 10*p**2 - 10*p**2 + 2*p**4 + 2 - c wrt p. 8*p**3 Let j(g) = 10*g**3 - 3*g - 7. Let f(u) = 29*u**3 - 8*u - 20. Let x(p) = 3*f(p) - 8*j(p). What is the first derivative of x(t) wrt t? 21*t**2 Let p(t) be the second derivative of -t**6/10 - 7*t**3/6 - 9*t. What is the second derivative of p(g) wrt g? -36*g**2 Let x(h) be the third derivative of 11*h**8/168 - 23*h**4/24 - 6*h**2. Find the second derivative of x(q) wrt q. 440*q**3 Suppose -3*v - 2*v = 2*y - 10, -2*v + 4*y - 20 = 0. Suppose -4*p + 18 + 11 = n, 5*n - 25 = v. Find the second derivative of -c**2 - 3*c + p*c - c + 0*c wrt c. -2 Let v(p) be the second derivative of 0 + 3*p + p**3 - 1/12*p**4 + 0*p**2. Find the second derivative of v(m) wrt m. -2 Let h(y) be the third derivative of -y**7/168 - y**4/24 - y**3/3 - 6*y**2. Let i(w) be the first derivative of h(w). Differentiate i(r) wrt r. -15*r**2 Let q(n) = n**3 - n**2 + n. Let m(p) = 60*p**3 + 3*p**2 - 13*p. Let l(h) = -m(h) - 6*q(h). What is the third derivative of l(i) wrt i? -396 Let c(q) be the third derivative of q**7/30 + q**6/30 + 7*q**2. Let h(p) = 13*p**4 + 9*p**3 + 1. Let r(z) = -9*c(z) + 4*h(z). Differentiate r(f) wrt f. -44*f**3 Let r(t) be the first derivative of 12*t**5/5 - 31*t**3/3 - t**2/2 - 58. What is the third derivative of r(y) wrt y? 288*y Let m(y) = y**4 - 4*y**3 - 3*y**2 + 4. Let r(a) = a**4 - 3*a**3 - 4*a**2 + 3. Let h(d) = 3*m(d) - 4*r(d). Find the third derivative of h(z) wrt z. -24*z Let q = -7 + 11. Suppose -m - 6 = -q*m. Find the second derivative of 0*x**4 + m*x + x - x - 2*x**4 wrt x. -24*x**2 Let r(d) = -d - 5. Let n be r(-2). Let l(m) = -m**2 + 1. Let f(q) = q**2 - q - 3. Let j(g) = n*l(g) - f(g). What is the second derivative of j(o) wrt o? 4 Let m(t) be the first derivative of t**6/6 + 3*t**2 - 5. Find the second derivative of m(d) wrt d. 20*d**3 Let p(u) be the second derivative of -3*u**8/56 + u**7/42 - u**4/12 + u**3/3 + 53*u. Find the third derivative of p(z) wrt z. -360*z**3 + 60*z**2 Let d(q) be the second derivative of 5/42*q**7 + 0*q**6 - 2/3*q**3 + 0*q**5 + 0*q**4 - 3*q + 0*q**2 + 0. Find the second derivative of d(h) wrt h. 100*h**3 Let r(o) be the first derivative of -7*o**3 - 10*o - 3. What is the derivative of r(w) wrt w? -42*w Let f = -2 + 4. Differentiate -f*x + 2*x - 3 + 3*x**4 wrt x. 12*x**3 Let l = -5 - -9. Find the first derivative of -g**4 - 6*g**4 - 2 + 4*g**l wrt g. -12*g**3 Let u = -10 + 19. Suppose t - 4*t - 5*w - u = 0, 12 = 3*t - 2*w. What is the third derivative of z**3 + 0*z**t + 2*z**2 + z**3 wrt z? 12 Let m(i) be the second derivative of 3*i**5/10 + 3*i**4/4 - i. What is the third derivative of m(a) wrt a? 36 Let q(j) be the first derivative of -5*j**9/3024 + j**5/60 + 8*j**3/3 + 2. Let f(g) be the third derivative of q(g). Find the second derivative of f(p) wrt p. -100*p**3 Let f = -6 - -7. Find the third derivative of 2 - f + 6*o**3 - o**2 - 1 wrt o. 36 Let i(v) be the second derivative of -29*v**6/15 - 4*v**4 + 62*v. What is the third derivative of i(c) wrt c? -1392*c Differentiate 3*s + 4*s + 4*s - 15*s - 18 with respect to s. -4 Let m be (-56)/(-21) + 2/6. Find the second derivative of -m*d + 5 + 10*d - 5 + 8*d**3 wrt d. 48*d Let a(t) = -24*t**4 + 7*t**3 + 7*t**2 - 22. Let z(v) = -23*v**4 + 6*v**3 + 6*v**2 - 21. Let o(y) = -6*a(y) + 7*z(y). What is the derivative of o(q) wrt q? -68*q**3 Suppose 2*d + 1 + 0 = 3*n, 2*n = 3*d - 6. Differentiate -6*y**3 + 6*y**3 - 2 + n*y**4 wrt y. 12*y**3 What is the first derivative of 97*i**4 + 22 + 2 - 107*i**4 wrt i? -40*i**3 Differentiate -10*a**2 - 3 + 7 + 3 - 6 with respect to a. -20*a Let z(n) = n**4 - 8*n**2 + 6*n. Suppose -3*a = a + 24. Let h(o) = o**2 - o. Let d(j) = a*h(j) - z(j). What is the third derivative of d(k) wrt k? -24*k Let u(n) be the first derivative of 0*n**4 + 0*n + 4/5*n**5 + 6 + 0*n**3 + 4*n**2. Find the second derivative of u(g) wrt g. 48*g**2 Let b(a) be the first derivative of 3*a**5/5 - 13*a**3/3 - 7*a**2/2 + a - 38. Find the second derivative of b(s) wrt s. 36*s**2 - 26 Let k be (-3 - -4) + 1 - 3. Let p(u) = -u. Let w(a) = -2*a - 3. Let f(v) = k*w(v) + 6*p(v). Differentiate f(m) with respect to m. -4 Find the first derivative of -15 + o**2 + 12*o**2 - 2*o**2 + o**2 wrt o. 24*o Differentiate s + 13 - 2*s - 6 - 3*s with respect to s. -4 Let a(l) = 106*l**3 - 5*l**2 + 17*l + 3. Let t(f) = 159*f**3 - 7*f**2 + 26*f + 5. Let x(b) = 7*a(b) - 5*t(b). What is the second derivative of x(i) wrt i? -318*i Let m = 4 - 4. Find the first derivative of m - 6*c + 2*c + 1 wrt c. -4 Let o = 2 - -4. Find the second derivative of -4*z + 3*z**3 - z**3 + z**3 - o*z**3 wrt z. -18*z Let g = -4 + 9. Suppose 1 - g = -2*s. What is the second derivative of 0*m**3 - 2*m**3 + m - s*m wrt m? -12*m Find the third derivative of 0*w**2 - 9*w**6 - 4*w**2 + 10*w**6 wrt w. 120*w**3 Let p(u) be the second derivative of -u**6/3 - 5*u**3/2 - 12*u. What is the second derivative of p(b) wrt b? -120*b**2 Let g be (2/6)/(2/18). Find the third derivative of g*t**2 - 5*t**5 + 4*t**5 - t**2 wrt t. -60*t**2 Let r(y) = y**3 - 3*y**2 + 2*y - 3. Let m be (4/4)/((-2)/(-6)). Let t be r(m). Find the third derivative of 2*s**t - 1 + 2*s**2 + 1 wrt s. 12 Let g(i) be the third derivative of -i**8/168 - i**5/60 + 6*i**2. What is the third derivative of g(d) wrt d? -120*d**2 Let r(l) be the third derivative of 1/8*l**4 + 0*l + 4*l**2 - 1/210*l**7 + 0*l**5 + 0 + 0*l**6 + 0*l**3. Find the second derivative of r(j) wrt j. -12*j**2 Let j(o) be the first derivative of -o**7/14 + o**4/4 + 2*o - 2. Let b(t) be the first derivative of j(t). What is the third derivative of b(c) wrt c? -180*c**2 Let h = 19 - 16. Find the third derivative of -3 + h + 24*j**2 - 8*j**6 - 32*j**2 wrt j. -960*j**3 Let l(o) = -3*o**4 + 15*o**3 - 2*o**2 + 19. Let g(q) = -q**3 - q**2 - 1. Let n(x) = 2*g(x) - l(x). Differentiate n(f) wrt f. 12*f**3 - 51*f**2 Let g be (-2 - 0)/(480/(-12)). Let o(z) be the second derivative of 0*z**4 + 0*z**3 + 2*z - 1/2*z**2 + g*z**5 + 0. Differentiate o(b) with respect to b. 3*b**2 Suppose -2*f = g - 11, -2*g - 5*f + 2*f = -18. Find the first derivative of -3*r**2 + r**2 - 3*r + 4 + g*r wrt r. -4*r Let h(d) = -13*d**2 + 22*d - 6. Let i(c) = 26*c**2 - 43*c + 11. Let x(k) = 11*h(k) + 6*i(k). Find the second derivative of x(f) wrt f. 26 Let s(k) be the second derivative of k**5/10 - 5*k**3/6 + 3*k. What is the second derivative of s(h) wrt h? 12*h Let p(x) = -x**3 + 4*x**2 - x + 2. Let h be p(3). What is the second derivative of 2*b + 2*b + 13*b**2 - 6*b**2 - h*b wrt b? 14 Let u(i) be the second derivative of -i**8/840 + i**5/20 - i**3 + 7*i. Let o(y) be the second derivative of u(y). Find the second derivative of o(d) wrt d. -24*d**2 Let k(i) be the first derivative of -i**6/2 - 5*i**2/2 + 14. Find the second derivative of k(u) wrt u. -60*u**3 Let p(l) be the second derivative of -7*l**3/6 + 5*l**2/2 + 4*l. Differentiate p(j) wrt j. -7 Find the third derivative of 0 + 2 - 2 - 15*h**6 - 3*h**2 wrt h. -1800*h**3 Let o(y) = -5*y**3. Let w be o(-1). Let u = -3 + w. Find the third derivative of -3*q**3 + 17 - 2*q**u - 17 + 5*q**3 wrt q. 12 Let g(t) be the first derivative of 0*t**2 + 2 + 0*t + 1/3*t**3 - 3/4*t**4. Find the third derivative of g(i) wrt i. -18 Let t(w) be the second derivative of -3*w**5/4 - w**4/3 + 2*w. Find the third derivative of t(b) wrt b. -90 Find the first derivative of -15 - 5 + 2*o**3 + 4*o**3 wrt o. 18*o**2 Let x(y) = y**3 - 3*y**2 + y + 1. Let g be x(2). Let h be (g/3)/(2/(-24)). What is the first derivative of -2*f**h - 2 - 1 + 0 + 3*f**4 wrt f? 4*f**3 What is the second derivative of -z**5 + 8*z - 2*z + 4*z wrt z? -20*z**3 Let v(u) = 11*u - 13 - 24*u + 12*u. Let z(p) = 7. Let d(i) = -3*v(i) - 5*z(i). Differentiate d(b) wrt b. 3 Let d = 12 + -8. Suppose -d*j + 13 = 5. Find the third derivative of -m**3 + m**3 - 3*m**j + m**2 + 2*m**5 wrt m. 120*m**2 Let a = 2 + 0. Find the second derivative of 3*z +
{ "pile_set_name": "DM Mathematics" }
derivative of 3*p + 11 + p + a*p - 4*p wrt p? 3 Let m(c) be the first derivative of -1503*c**5/5 - c**3 + 204*c + 363. Find the third derivative of m(i) wrt i. -36072*i What is the second derivative of -173*s**4 + 739*s**2 - 1463*s**2 + 726*s**2 + 4539*s + 34*s**4 wrt s? -1668*s**2 + 4 What is the third derivative of 526*d - 9*d**3 - 3915*d**2 - 1376*d**2 - 526*d + 747*d**4 wrt d? 17928*d - 54 Let l(r) be the third derivative of 13/3*r**4 + 0 - 2*r**2 + 37*r + 73/6*r**3. Find the first derivative of l(x) wrt x. 104 Let s be (49/14)/(-7)*(-8)/(-2). Let m(x) = -22*x - 7. Let o be m(s). Find the second derivative of 3*j**2 - 24*j - 11*j**2 + 8*j**2 + o*j**3 + 2 wrt j. 222*j Let p(s) be the second derivative of s**2 + 0*s**5 - 2*s - 17/6*s**3 + 50 + 0*s**4 + 11/10*s**6. Find the second derivative of p(i) wrt i. 396*i**2 Suppose 5*p - 2*x = 14, -2*x - 2*x = 5*p - 2. Suppose 4*i + j = 246, 5*j + 101 - 29 = i. Find the second derivative of -7*f**p + 62 + f - i + 7*f wrt f. -14 Suppose 0 = -4*p + 20, -p + 714 - 199 = h. Suppose -b - 3*z + h = 0, -2*b + 4*z = z - 975. Find the third derivative of -7*q**3 - 8*q**2 + b - 495 wrt q. -42 Let i = -216 - -218. Find the third derivative of 180*x**2 + 45214*x**4 - x**5 - 45209*x**4 - 452*x**i wrt x. -60*x**2 + 120*x Let r(s) be the third derivative of 0 - 29/3*s**3 + 0*s + 19/8*s**4 - 20*s**2. Find the first derivative of r(n) wrt n. 57 Let n(k) = -9*k + 2. Let w be n(-5). What is the derivative of -36068 + 35978 + q**2 + w*q - 3*q**2 wrt q? -4*q + 47 Let n(x) be the second derivative of -10*x**4 - x**3/3 - 395*x**2 - 107*x + 2. Find the first derivative of n(d) wrt d. -240*d - 2 Let t(c) = -431*c - 2006. Let w(r) = -1723*r - 8011. Let g(b) = 25*t(b) - 6*w(b). Differentiate g(x) wrt x. -437 Let h = -5603 + 5609. Let y(p) be the first derivative of -h*p**4 + 0*p + 0*p**2 + 3 + 10/3*p**3. What is the third derivative of y(u) wrt u? -144 Find the first derivative of -2029 - 1545 - 460*y**2 + 624*y**2 + 1202 - 2785*y**2 wrt y. -5242*y Let a(k) be the third derivative of -139*k**7/210 - k**5/20 + 163*k**4/12 + 811*k**2. Find the second derivative of a(j) wrt j. -1668*j**2 - 6 What is the third derivative of c - 72064 + 3556*c**3 + 72066 - 5*c + 0*c - 113*c**2 wrt c? 21336 Let a(u) = 14*u**2 - 2*u - 1. Let s(b) = -301*b**2 - 11*b + 1405. Let m(d) = -6*a(d) + s(d). Differentiate m(g) wrt g. -770*g + 1 Suppose 2*x + 4 = 0, w = -3*w - 2*x + 4. What is the third derivative of 19*y**3 + 13522 - 13522 - y - 71*y**w wrt y? 114 Find the second derivative of -295*m**3 - 58 - 274 - 430*m**3 + 64 + 99*m**3 + m wrt m. -3756*m Differentiate 9*v**3 + 16*v + 20*v + 75 - 178 - 1547 - 3*v with respect to v. 27*v**2 + 33 Suppose 0 = -4*w - 4*d + 24, 0*w = 4*w - d - 9. Find the second derivative of 5*h + 17*h**2 - 23 + 11 - w*h + 3 wrt h. 34 Let c be 2*1*(-429)/(-66). What is the second derivative of -10 - c + 19 - 7*r**4 - r + 9 + 11*r**2 wrt r? -84*r**2 + 22 What is the third derivative of -874*s**2 + 20936*s**3 - 1163*s**2 + 464*s**2 - 20578*s**3 wrt s? 2148 Let f(z) be the second derivative of -1/14*z**7 - z**2 + 0*z**4 + 0*z**6 - 114*z + 9/20*z**5 + 0 + 2/3*z**3. Find the second derivative of f(h) wrt h. -60*h**3 + 54*h Let i(v) be the third derivative of 0 - 1/15*v**5 + 1/24*v**6 + 71*v**2 + 0*v + 0*v**3 - 25/8*v**4. Find the second derivative of i(f) wrt f. 30*f - 8 Let k(x) be the first derivative of -3671*x**2/2 + 3237*x - 2222. What is the first derivative of k(b) wrt b? -3671 Let t(z) be the second derivative of -511*z**6/10 + 1640*z**3/3 - 14*z - 45. Find the second derivative of t(m) wrt m. -18396*m**2 Let z(l) be the third derivative of 161*l**6/30 - 653*l**3/2 - 763*l**2 - l. Differentiate z(n) wrt n. 1932*n**2 Suppose 0*i + 3*v + 135 = 5*i, -3*v = 0. Suppose -18 = 3*x - i. Find the third derivative of 16*r**2 + 2*r - 2*r - x*r**6 - 6*r**2 wrt r. -360*r**3 Let o(y) = 50*y - 13. Let p(n) = -16*n - n + 0 + 4. Let f be 7/((-28)/8) + 9. Let v(k) = f*p(k) + 2*o(k). What is the first derivative of v(d) wrt d? -19 Let d = -31828 + 31832. Let y(b) be the second derivative of -d*b + 9/20*b**5 + 0*b**2 + 0 + 25/6*b**3 + 0*b**4. Find the second derivative of y(h) wrt h. 54*h Suppose -5*b + 528 = -c, -65 = -3*b + 5*c + 243. What is the third derivative of 106*k**3 + 3*k - k**2 - 50*k**4 + 6*k**2 - b*k**3 wrt k? -1200*k Find the third derivative of 2*p**2 + 973 + 0*p**2 + 4642*p**3 - 45*p - 82*p - 986 - 53*p**3 wrt p. 27534 Let l(p) = 569*p**3 - 3*p**2 + 83*p + 9929. Let m(y) = -2*y**3 - 9*y + 1. Let u(w) = -l(w) - 9*m(w). Find the first derivative of u(v) wrt v. -1653*v**2 + 6*v - 2 Let g(y) = 6*y + 16. Let j be g(-5). Let b(w) = w**3 + 15*w**2 + 10*w - 16. Let c be b(j). Find the third derivative of a**2 - 25*a**2 + c*a**3 - 20*a**3 wrt a. 120 Let i(t) = 18*t**3 - 40*t**2 + 1308*t + 6. Let l(n) = -2*n**3 + n**2 + 2*n - 2. Let s(r) = i(r) + 3*l(r). Find the second derivative of s(b) wrt b. 72*b - 74 Let f(w) be the third derivative of -w**5/30 - 5*w**4/8 + 11*w**3/6 + 5*w**2. Let n be f(-8). What is the derivative of -33*g + 23 + 33*g + 10*g**n wrt g? 30*g**2 Let s(j) = 7*j + 4 - 9 - j**2 + 6 - 6*j. Let v(c) = c**4 + c**2 - c - 2. Let m = -1 + 7. Let y(q) = m*v(q) + 6*s(q). What is the derivative of y(b) wrt b? 24*b**3 Let h be 8/10*115/46. What is the second derivative of -5*i - 340*i**4 + 2*i**2 - 8 + 334*i**4 + h*i wrt i? -72*i**2 + 4 What is the derivative of -z**3 - 1649 - 57 + z**3 + 2103*z**4 - 203 wrt z? 8412*z**3 Suppose -16*h + 9*h + 21 = 0. Find the third derivative of s**4 - 2*s**3 + 0*s**h - 6*s**4 - 14894*s**2 + 15008*s**2 wrt s. -120*s - 12 Suppose -880 = 10*u - 18*u. Find the second derivative of u*b + 43*b**2 - 1 + 21*b**2 + 29*b**2 + 3*b**2 wrt b. 192 Let t(j) be the second derivative of 1663*j**4/12 - 1574*j**2 - 4*j - 179. What is the derivative of t(y) wrt y? 3326*y Let t be (-34)/119 + 0 + 16/7. Suppose 5*v - u = 24 + 1, 2*v = t*u + 18. What is the second derivative of -5*r**4 - 13*r**4 + 27*r**v - 28*r + 20*r**4 wrt r? 348*r**2 Let n = -6 - -1. Let b(x) = x**3 + 4*x**2 - 7*x. Let i be b(n). What is the second derivative of i*k**2 - 9*k + 2*k**2 - 2*k**2 + 0*k**2 wrt k? 20 Let a(k) be the first derivative of -10*k**5 + k**4/4 - 16*k**3/3 - 74*k + 7445. What is the third derivative of a(s) wrt s? -1200*s + 6 Let g be (((-2)/3)/2)/(2/(-48)). Suppose -3*c + 5*c - g = 0. Differentiate 4*z**4 + 13 - 1 + 7*z**c wrt z. 44*z**3 Let f(r) = 1. Let g(n) = 10*n**3 + 3*n - 7. Let a = 48 - 35. Suppose -a*k + 112 = -5*k. Let w(m) = k*f(m) + 2*g(m). Find the second derivative of w(s) wrt s. 120*s What is the second derivative of -18611383 + 4082*b + 5250*b**2 + 18611383 wrt b? 10500 Let n(g) be the first derivative of 17*g**3 + 196*g**2 - 4*g - 1587. Find the second derivative of n(q) wrt q. 102 Let s(p) be the third derivative of -p**6/5 - p**5/30 - p**4/2 + 619*p**3 - 3828*p**2. Differentiate s(w) with respect to w. -72*w**2 - 4*w - 12 Let q(p) be the third derivative of -77*p**6/8 - 2143*p**3/6 - 2091*p**2. What is the derivative of q(w) wrt w? -3465*w**2 Let r(c) be the first derivative of 3*c**5/5 - 97*c**3/3 + 1447*c**2/2 - 511. Find the second derivative of r(u) wrt u. 36*u**2 - 194 Let x = -98 - -104. Suppose -3*t = -2*r + t - 10, 0 = -5*r + 5*t - 5. Find the first derivative of -17 + x*o**r + 5*o**3 - 16*o**3 + 2*o**3 wrt o. -9*o**2 Find the third derivative of -8*r**6 + 1 - 6*r**3 + 21*r**3 + 1064*r**2 + 6*r**6 + 14*r**3 wrt r. -240*r**3 + 174 Let d(f) = -f**3 - 4*f**2 + 5*f + 7. Let b be d(-5). Differentiate 34916*n - 34916*n - b*n**2 - 40 with respect to n. -14*n Let m(t) = -18*t - 140. Let f be m(-8). Find the second derivative of -5 + 24 - 9*p**f + 94*p - 19 - 5*p**2 wrt p. -108*p**2 - 10 Let l(z) = 5057*z**3 + 4050*z**2 + 32. Let s(k) = -1011*k**3 - 810*k**2 - 6. Let h(a) = 2*l(a) + 11*s(a). Find the third derivative of h(d) wrt d. -6042 Let r(u) be the third derivative of 4561*u**6/120 + 77*u**5/3 + 3408*u**2. What is the third derivative of r(g) wrt g? 27366 Let s(a) = 14*a**4 - 43*a**3 - 6*a - 540. Let i(j) = -14*j**4 + 44*j**3 + 5*j + 543. Let z(y) = -6*i(y) - 5*s(y). Find the first derivative of z(c) wrt c. 56*c**3 - 147*c**2 What is the third derivative of 163868655*g**5 - 2 - 10*g + 35*g**2 - 163868
{ "pile_set_name": "DM Mathematics" }
(-9*8/64) + (-64)/(-6)? 8 Calculate ((-1)/(-22))/((-9 - -15)/(-24)). -2/11 Evaluate ((-11)/(-33))/1*21. 7 What is the value of (-126)/714*(145/(-15) - -9)? 2/17 ((-1)/3)/(19/(228/12)) -1/3 Evaluate 3*(-8 + (-148)/(-60)*5). 13 Evaluate 123/21 - -11*(-182)/286. -8/7 Calculate -9*(-72)/450*5/198. 2/55 What is the value of 1 - (574/616 - (-3)/12)? -2/11 (-2 - (3 + -11)) + (-13 - 37/(-6)) -5/6 Evaluate (1/(-8))/(-1)*(-4)/11. -1/22 Calculate (-4)/2 + 2/17 + (-351)/(-51). 5 2/(-20)*(-2540)/50 - 5 2/25 Calculate (177/210 + 3/(-15))/((-12)/(-14)). 3/4 What is ((-8)/(-6))/(-32 - -30)*(-6)/58? 2/29 12 + ((-4220)/42)/10 + (-4)/14 5/3 (-325)/105 + (-45)/18*(-6)/5 -2/21 What is the value of (30/66)/(66/726)? 5 Evaluate (-4 + 0 + 268/70)/(447/745). -2/7 Evaluate 6/(-48) + (-2871)/264. -11 What is 608/210 + 2044/(-730)? 2/21 Evaluate ((-20)/264)/(-2 + (-36)/(-48)). 2/33 Calculate -8 + 133/(-114) + 9. -1/6 What is 8 + -21 + ((-9)/(-15))/(8/(-40))? -16 Calculate 1*(-11)/(-33)*-6. -2 (-13 + 1)*(-20)/(-5400)*-18 4/5 62/(-124) - ((-3)/2 + 1/4) 3/4 What is the value of (-11 - 13)*(-20)/60*(-3)/(-10)? 12/5 What is the value of 3 - (-150)/(17 + -12)? 33 What is the value of 7/(-70)*15*4/9? -2/3 (28 + -4)*((5/2 - 0) + -3) -12 Calculate ((-93888)/56)/(-72) - (-4)/(-14). 23 What is the value of 732/26 + (7/((-1729)/(-76)))/(-2)? 28 What is ((-4)/42)/((-3)/(-9)) - 336/(-980)? 2/35 What is the value of 1 - (253/22 - 9)? -3/2 Evaluate (-4991)/(-391) - 39/(-15)*-5. -4/17 What is 0 + 12/84 + 54/28 + -2? 1/14 What is (-2)/8*-6 - ((-6740)/(-360) - 17)? -2/9 What is (24/(-14))/(4/14)*64/(-24)? 16 What is (-4608)/89856 + (-44)/663? -2/17 What is the value of 2 + 23 + 928/(-29)? -7 What is ((-39)/91)/((297/(-792))/(21/4))? 6 (7 - 0)/((-10 - (-287)/28)*-4) -7 What is the value of (-30 + -4 - -22) + 22? 10 ((-6)/28)/((-9)/(-24))*(-54 + 40) 8 (-54)/16*(8 - 242/33) + 4 7/4 Calculate (-26)/(338/(-357)) - 108/234. 27 What is the value of (-55)/(0 + -11) + 276/(-48)? -3/4 Evaluate (10 - 4)/((825/(-44))/(-25)) + 0. 8 161 + -162 + (-5)/(-3) + 80/6 14 What is (4 - 10) + (7/28 - (-3)/4)? -5 What is -4*2*((-15)/(-810))/(2/6)? -4/9 What is the value of (-1 - 6/14)/((-6050)/(-21175))? -5 Evaluate ((-63)/2058)/((-4)/((-32)/6)). -2/49 Calculate (2006/51 - 27) + (-2)/(-3). 13 Calculate (-18)/(-306)*(8/28)/((-4)/(-14)). 1/17 Calculate (-4)/(-10) + 42/70. 1 What is (102/12 + -3)/(((-77)/(-14))/(-11))? -11 3/2*((-477)/(-81) - 6) -1/6 What is (-1456)/(-1040) + 65/(-100)*1? 3/4 What is the value of 120/150*-25 + 7? -13 What is (-4)/608*(-22 + 6)? 2/19 (5 - (-497)/142)*(0 + 1)*-2 -17 What is the value of -2 - (-49)/6 - (20 - (25 + -10))? 7/6 What is the value of 24 - 1072/40 - (-4)/5? -2 What is the value of 4/(-12) + (248/96 - 2)? 1/4 -10 + (2352/260 - 16/(-20)) -2/13 What is the value of -26 - -27 - (-6 + (5 - 5))? 7 (-11)/(-11)*(-2 - 8) -10 (-18)/45 + 14*4/315 -2/9 What is ((-1168)/730)/(-6*4/270)? 18 12/(-2)*(-11)/198 - 152/(-12) 13 Calculate 12 - (-39 + 41)/(2/(-7)). 19 What is the value of 2/((-56)/(-42))*(-3)/12*2? -3/4 What is the value of (-200640)/17160 - (-8)/(-26)? -12 What is the value of -7*((-5)/6 + 191/42)? -26 161/115 - (-292)/(-80) -9/4 What is (20 + 3759/(-189))*12/(2 + 0)? 2/3 Calculate (3/4)/((-6840)/(-480)). 1/19 ((-10)/(-85))/(80/1020) 3/2 What is the value of (-1152)/(-672)*105/18? 10 Evaluate 5/140 - 9/(-36). 2/7 What is the value of (-412)/44 + -16 - -27? 18/11 Calculate (-2*20*4/20)/1. -8 What is the value of (1980/35)/(-9) - (46/(-14) - -3)? -6 (24/(-40))/(0 + 2 - (-286)/(-140)) 14 What is ((-90)/(-33))/5*11814/4833? 4/3 What is the value of ((-1025)/(-75) - 15)*((-5)/(-2) + -2)? -2/3 (10 + 2 - 0)*(140/(-40) + 2) -18 -21 - ((-25141)/899 + 7) -1/29 910/1050 + (-152)/(-40) 14/3 Calculate 650/(-60)*((-294)/(-140))/7. -13/4 Calculate 30 + 112/(-24)*3. 16 Calculate (0 - 3)*((-1388)/(-63) - (949 - 927)). -2/21 What is 0*((-53)/583)/(2/11)? 0 What is 6 + 0 + -5 + (-219)/511? 4/7 What is the value of (-24)/154 + -3*(-18)/(-198)? -3/7 What is the value of 10*9/(-30) + (-2)/(-4)? -5/2 Evaluate (-1)/(-3) - -9*966/(-567). -15 What is the value of (-8 - -9)/(0 - 4/32) + -3? -11 What is the value of 21/(-14)*(-440)/132? 5 Evaluate ((-38)/(-10) + -4)/(12/20)*6. -2 What is the value of -10*1*(-2)/(-6)*30378/70882? -10/7 Evaluate (0 - -6)*(70/90)/((-29)/87). -14 What is the value of 14/1 - (-18699)/(-1084) - -3? -1/4 What is ((-13)/(-130))/((15/5)/66)? 11/5 What is ((-33264)/92)/28 + 6/(-69)? -13 Evaluate ((-9)/4)/(11 - (462/48 - -1)). -6 What is the value of ((-425)/51 + 9)/((-10)/(-24))? 8/5 What is the value of 525/60 + 5*40/(-25)? 3/4 17/(-102) - 465/(-90) 5 What is (-8 + 14)*1 - (-11)/(253/(-140))? -2/23 What is (4/3 + 30/(-90))/(-5 + 4)? -1 Evaluate 770/(-56) + (-4 - -16). -7/4 What is the value of 126/189*(9/21 + 1971/(-42))? -31 Evaluate (-6 - 11/(-2))*0 - 50/(-70). 5/7 What is the value of (-405)/51 - -4 - 60/1020? -4 -5*(-24)/(-12)*16/10 -16 What is (108/(-16))/(8*(-90)/(-240))? -9/4 What is the value of ((8*(-12)/(-48))/(-1 + 5))/(-2)? -1/4 Calculate ((-16)/(-41))/(16/40)*2 - 2. -2/41 Calculate (-91)/(405405/243) - (-1 + 2/5). 6/11 What is ((-514)/(-17))/(-2) + 1508/12818? -15 Evaluate 2/15*-1 - (13 - (-1388)/(-60)). 10 Calculate (-8 + 46)*(-6)/12 + 16. -3 What is the value of 420/(-38) - (-25)/(700/308)? -1/19 Calculate -4 + (-1)/7 + (1118/(-455) - -5). -8/5 What is the value of (5/(-45)*3)/(138/54 - 2)? -3/5 What is 70/8 + 107/428? 9 Evaluate (-10)/4*294/245 + (-36)/2. -21 What is the value of (-160)/1680 - (-508)/42? 12 372/31*(-1)/2 -6 Evaluate (2/4)/(6447/462 + -14). -11 Calculate 35 + (-9 + 503)/(-19). 9 Calculate 604/(-30) - ((-1012)/(-60) + (1 - 18)). -20 ((-380)/(-95))/(6/(-15)) -10 Calculate (-2)/(-56)*-2 + ((-30134)/8372)/19. -6/23 Calculate 150/(-19) + (2/(-76))/(465/1860). -8 Evaluate (-6)/5*(-44 + 371/14). 21 What is the value of 4 - -7 - ((-2304)/(-90) + -13)? -8/5 ((-2070)/294 - 62/(-1519)) + 52/6 5/3 What is ((11700/80)/(-195))/((-6)/(-8))? -1 Calculate 15/10*((-40)/90)/(4 + -2). -1/3 Evaluate (-2 - 1) + 168/(-3 - 11). -15 Evaluate ((-21)/(-15) - 391/340) + (-43)/(-4). 11 Evaluate (-77)/(-385) + (-2*1 - (-102)/15). 5 What is (-135501)/(-10199) - ((-11)/(-14) - (-2)/(-4))? 13 Evaluate 42/70*((-3872)/(-336) + 3/21). 7 Calculate (-7 + 63/(-18))/(9/(-6)). 7 55*(-1014)/65637 + 8/9 2/51 1*7*20/910 + 6695/(-5070) -7/6 Evaluate (2 - (-9 + 772/40)) + 8. -3/10 Evaluate (-65)/10 + 1 + 648/112. 2/7 What is the value of (6 - 6) + 4 - (13 + -5) - -6? 2 Evaluate ((-3)/9)/((-50)/(-250)). -5/3 Evaluate 51/(-15) - -16 - 12. 3/5 21 + -2 - (-6)/(-2 - 0) 16 (-21)/(-2)*(624/42)/13 12 Evaluate -5 + -2 + (-4785)/(-715). -4/13 Calculate (-20850)/(-9730) - (-352)/(-14). -23 What is the value of 166/(-2573)*-124 + 4*4/(-1)? -8 What is the value of (-1 - (-16)/27) + (-205)/(-615)? -2/27 What is the value of (-884)/(-1183) + 78/(-169)? 2/7 Evaluate ((-1)/3)/(66/99)*-2. 1 980/112*(-160)/200 -7 Calculate 11 + 7530/360 - 32. -1/12 453/(-51) + (42/(-238))/((-9)/(-6)) -9 Evaluate 7/6*156/(-364). -1/2 What is the value of 45 - (-1 + 486/18)? 19 Evaluate (-44)/5 + 8/260 + (-16848)/(-1690). 6/5 What is (-6)/(-14)*(-298)/894? -1/7 What is (-72)/(-9) + 7 + (-475)/35? 10/7 What is (-96)/(-33) + -3 + (-4472)/1144? -4 Evaluate 450/(-816) - 165/(-935). -3/8 (-6)/27*(14 + (-27)/2 + 1) -1/3 What is 1/(-2) - (39/(-4) + (-4490)/(-449))? -3/4 What is ((-6)/(-4))/((-921)/(-4912))? 8 Calculate 35 - 42 - (-3)/((-102)/(-242)). 2/17 What is (1 + -18)/((-26)/(-1196)*-23)? 34 Evaluate 18/126 - 139/2*2/(-7). 20 What is the value of -3*((17408/456)/(-8) - 2/(-19))? 14 Calculate 25/(200/48) + 100/(-18). 4/9 85/4 + 1 + ((-120)/32)/(-5) 23 Calculate 200/360*63 + -32. 3 Evaluate 44 - (-1 + -1) - (-974 + 982). 38 What is the value of ((-2568)/640 + 4)*(4/8 - -2)? -1/32 What is the value of (378 + -378)*2/4 + (1 - 13)? -12 What is -1 + 2 + -1 - (-14 + 1425/100)? -1/4 Calculate (4776/(-252) + 19)*(-70)/(-6). 5/9 -2*2/26 + (1737/(-117) - -37) 22 What is the value of (-124)/(-9) + ((-41393)/639 - -65)? 14 Evaluate 9 - (48/(-7 + 11) + -3). 0 What is 13/((-2886)/(-12)) + 108/740? 1/5 What is -4 - (2 + 2) - 13029/(-1677)? -3/13 What is the value of (-3*30/270)/(7/3)? -1/7 What is (15*(-5)/(-45))/(83/(-1245))? -25 Evaluate (-63
{ "pile_set_name": "DM Mathematics" }
ive halves of a centimeter in millimeters? 225 What is 1135.201 kilograms in nanograms? 1135201000000000 What is fourty-three quarters of a century in months? 12900 What is 5.069054 hours in microseconds? 18248594400 How many centimeters are there in 12/25 of a kilometer? 48000 What is 29.909097 hours in days? 1.246212375 How many millilitres are there in 18/5 of a litre? 3600 Convert 5.531096 kilograms to nanograms. 5531096000000 What is 1/4 of a millimeter in micrometers? 250 How many litres are there in 2.110034 millilitres? 0.002110034 Convert 77.69093km to millimeters. 77690930 What is 1/5 of a litre in millilitres? 200 How many seconds are there in 1/36 of a week? 16800 What is sixty-four fifths of a decade in years? 128 How many decades are there in 312744.1 millennia? 31274410 Convert 0.2826422g to kilograms. 0.0002826422 Convert 220929.7 litres to millilitres. 220929700 How many months are there in one fifth of a decade? 24 What is seven quarters of a microgram in nanograms? 1750 How many seconds are there in 55/3 of a hour? 66000 How many kilograms are there in thirteen quarters of a tonne? 3250 What is twenty-seven halves of a week in hours? 2268 How many centimeters are there in 1/16 of a kilometer? 6250 How many kilograms are there in 5/4 of a tonne? 1250 How many micrometers are there in 86892.16 millimeters? 86892160 How many seconds are there in 5/24 of a day? 18000 What is 0.7121219 millilitres in litres? 0.0007121219 What is twenty-seven halves of a tonne in kilograms? 13500 Convert 40.6564t to micrograms. 40656400000000 How many litres are there in 0.3272229 millilitres? 0.0003272229 How many grams are there in 47/4 of a kilogram? 11750 What is 7/8 of a hour in seconds? 3150 What is seven eighths of a micrometer in nanometers? 875 What is 1265428.5 days in weeks? 180775.5 What is 2570585.4ms in minutes? 42.84309 What is 9.7749 millilitres in litres? 0.0097749 What is 603113.1ns in minutes? 0.000010051885 What is 0.8229453 weeks in seconds? 497717.31744 What is 7/2 of a centimeter in millimeters? 35 What is fifty-nine fifths of a litre in millilitres? 11800 Convert 42.30474ml to litres. 0.04230474 Convert 0.6747743 micrograms to kilograms. 0.0000000006747743 What is 1264843.377ms in weeks? 0.0020913415625 What is one fifth of a millennium in months? 2400 What is 974.341 decades in millennia? 9.74341 What is 3/10 of a litre in millilitres? 300 How many kilograms are there in 67/4 of a tonne? 16750 How many millilitres are there in 6/5 of a litre? 1200 What is 1/10 of a day in seconds? 8640 How many millilitres are there in three eighths of a litre? 375 Convert 18.46699l to millilitres. 18466.99 How many millimeters are there in 54/5 of a centimeter? 108 What is 5828.54769 minutes in weeks? 0.5782289375 What is 5/4 of a litre in millilitres? 1250 How many milligrams are there in 0.554903t? 554903000 Convert 0.1910447m to micrometers. 191044.7 What is 8/25 of a gram in milligrams? 320 Convert 35389.61 tonnes to kilograms. 35389610 What is twenty-six fifths of a kilometer in meters? 5200 How many millennia are there in 1528851.9 months? 127.404325 What is 81630.86g in micrograms? 81630860000 How many hours are there in three eighths of a day? 9 How many tonnes are there in 8.553491ug? 0.000000000008553491 Convert 22.671348 months to years. 1.889279 What is 27/4 of a kilogram in grams? 6750 Convert 336851.3 milligrams to micrograms. 336851300 What is 9940.88 kilometers in nanometers? 9940880000000000 How many micrograms are there in eleven quarters of a milligram? 2750 Convert 0.185841l to millilitres. 185.841 How many nanograms are there in 55/4 of a microgram? 13750 How many kilograms are there in 6/25 of a tonne? 240 What is seventeen halves of a century in years? 850 Convert 0.1861125 nanograms to tonnes. 0.0000000000000001861125 What is 4.007042t in milligrams? 4007042000 What is 11863.84 nanoseconds in microseconds? 11.86384 What is 913577.5 hours in minutes? 54814650 What is 1/20 of a litre in millilitres? 50 Convert 0.8578815 minutes to nanoseconds. 51472890000 How many minutes are there in thirteen fifths of a hour? 156 What is 6/25 of a kilometer in centimeters? 24000 Convert 38144.84 millimeters to nanometers. 38144840000 What is 31/5 of a centimeter in millimeters? 62 How many hours are there in 10/3 of a week? 560 How many millilitres are there in 133.6925 litres? 133692.5 Convert 8529.9021 nanoseconds to hours. 0.00000000236941725 How many minutes are there in 1/24 of a week? 420 How many hours are there in 3/8 of a week? 63 Convert 2453.912 litres to millilitres. 2453912 How many nanograms are there in 7/4 of a microgram? 1750 How many centuries are there in 69.45667 years? 0.6945667 What is 906.9715 millennia in years? 906971.5 How many months are there in 3/5 of a millennium? 7200 What is 4599512.1ns in hours? 0.00000127764225 What is six fifths of a litre in millilitres? 1200 How many millilitres are there in thirteen fifths of a litre? 2600 What is 90.01408t in kilograms? 90014.08 How many hours are there in one sixth of a day? 4 How many centimeters are there in sixty-four fifths of a meter? 1280 Convert 489844.8 millimeters to kilometers. 0.4898448 What is thirty-seven fifths of a litre in millilitres? 7400 What is 3/8 of a week in hours? 63 How many months are there in 488029.4 millennia? 5856352800 How many hours are there in 1033.1388 microseconds? 0.000000286983 How many micrometers are there in 53/4 of a millimeter? 13250 How many microseconds are there in 91.44897 seconds? 91448970 Convert 166.0573 millimeters to centimeters. 16.60573 How many micrograms are there in 796884.6 tonnes? 796884600000000000 How many seconds are there in three sixteenths of a day? 16200 Convert 0.5736912km to millimeters. 573691.2 How many grams are there in twenty-five eighths of a kilogram? 3125 What is twenty-nine fifths of a centimeter in micrometers? 58000 What is 7/8 of a litre in millilitres? 875 What is fifty-four fifths of a litre in millilitres? 10800 How many millimeters are there in 45/2 of a meter? 22500 How many decades are there in 4.423456 millennia? 442.3456 What is 1/5 of a century in months? 240 Convert 99.25638 months to millennia. 0.008271365 Convert 211.7679 decades to years. 2117.679 Convert 0.7339802 centuries to decades. 7.339802 What is 25/4 of a week in minutes? 63000 How many grams are there in 7/4 of a kilogram? 1750 How many years are there in 9.353712 decades? 93.53712 Convert 52.66031um to centimeters. 0.005266031 How many months are there in 7/3 of a century? 2800 How many millennia are there in 1902.358 years? 1.902358 How many centuries are there in 377995.4 years? 3779.954 What is three fifths of a minute in seconds? 36 How many microseconds are there in 0.4007492 weeks? 242373116160 Convert 0.7689599 days to milliseconds. 66438135.36 What is 3/40 of a kilogram in milligrams? 75000 Convert 0.7286681 weeks to nanoseconds. 440698466880000 What is seventy-three fifths of a millennium in years? 14600 Convert 285138.8mm to centimeters. 28513.88 What is 41529.46 micrometers in kilometers? 0.00004152946 Convert 32.96577kg to milligrams. 32965770 What is 1988.488m in nanometers? 1988488000000 What is 0.6144166 nanometers in micrometers? 0.0006144166 How many millimeters are there in 21/2 of a meter? 10500 What is 40519.33ml in litres? 40.51933 What is 0.3883561mg in tonnes? 0.0000000003883561 How many grams are there in 73801.1 tonnes? 73801100000 How many seconds are there in one twentieth of a day? 4320 How many microseconds are there in one twentieth of a second? 50000 What is 88145.47km in centimeters? 8814547000 What is 81288.88us in milliseconds? 81.28888 What is one fifth of a meter in centimeters? 20 What is 7/2 of a litre in millilitres? 3500 What is twenty-one eighths of a day in hours? 63 How many months are there in twenty-one halves of a year? 126 How many nanograms are there in 3/32 of a milligram? 93750 Convert 16.84557l to millilitres. 16845.57 What is 41/2 of a centimeter in millimeters? 205 How many days are there in 231.84912 hours? 9.66038 Convert 8.737698 micrometers to centimeters. 0.0008737698 How many milligrams are there in 3.911486 kilograms? 3911486 What is 11/4 of a
{ "pile_set_name": "DM Mathematics" }
1 - 2*h**3 in the form i + o*h + q*h**3 + d*h**2 and give q. 4000 Express 9 + 23 + 20 + 19*w + 25 - 28 as j + r*w and give j. 49 Express 2723*s - 634*s + 1936*s + 4360*s - 1393*s as r + m*s and give m. 6992 Rearrange -85122*c + 48*c**2 + 85122*c + (-3*c + 5*c + 0*c)*(5*c + 2*c - 5*c) + c**2 + 2*c - 2*c + 191 + 12*c**2 - 191 to the form k*c + w*c**2 + s and give w. 65 Rearrange 20*s - 1258126*s**3 + 2*s**2 + s**4 + 1258115*s**3 - 5*s to v*s**4 + y + j*s + x*s**3 + g*s**2 and give x. -11 Rearrange -4*f**2 - 134 + 5*f**2 - 4318*f + 4317*f - 42 to the form p + m*f + s*f**2 and give s. 1 Rearrange 18*m + 7*m + 2*m + (0 - 3 - 2)*(-51*m + 23*m + 15*m) to x*m + j and give x. 92 Express (2*u**2 - u**2 + 0*u**2)*(u**2 + 3 - 3) + (22*u**4 - 16*u**4 - 17*u**4)*(8 + 1 - 4) in the form i*u + z*u**4 + l*u**3 + c*u**2 + t and give l. 0 Express (-107*k + 204*k - 96*k)*(-3 - 2 - 3 + (1 + 0 - 2)*(2 + 3 - 7)) in the form t + g*k and give g. -6 Express 185 + 85*u + 5*u**3 - 4*u**3 - 2*u**2 - 91 - 91 - 51*u as h*u + l*u**3 + t + d*u**2 and give h. 34 Rearrange (3*d - 2*d + d)*(2 - 2 + d) - 3*d**2 + 0*d**2 + 5*d**2 + 0*d**2 + 0*d**2 + d**2 - 278 + 14*d + 288 - 2*d**2 + 81*d to c*d + y*d**2 + g and give g. 10 Express (4*p - 3*p + 2*p)*(142*p + 361*p + 985*p) as a*p + c*p**2 + i and give i. 0 Express -690*q - 7647 + 7647 in the form h*q + t and give h. -690 Rearrange (3 + 2 - 6)*(5*r - 5*r - 3*r**2) + (-13*r - 1 + 1 + (-6 + 3 + 1)*(-4 + r + 4))*(-1 - r + 1) to q*r**2 + a + o*r and give q. 18 Rearrange -2855259 - b + 6130*b**3 + 2855259 to the form o*b + a*b**3 + q*b**2 + c and give o. -1 Rearrange -1298 + 14 - 97*p + 43*p + 5 + 51*p to q + y*p and give y. -3 Rearrange x**2 - 10 - 37*x + 16*x**2 - 23*x**2 - 2*x**2 + 11 to the form g*x**2 + l + w*x and give l. 1 Express 2 + 3741*s - 4402*s + 208*s**4 - 2*s**2 - 206*s**4 as l + c*s**3 + m*s**4 + q*s + v*s**2 and give m. 2 Rearrange ((-3*o + 3*o - 2*o)*(-5 + 3 + 1) + 1 + 382*o - 167*o + 500*o)*(5 - 5 + 3) to a*o + v and give a. 2151 Express 86*j**2 + 107*j**2 - 196*j**2 - 909 + 125 as s + t*j + d*j**2 and give s. -784 Express ((x + x - 3*x)*(-2 - 1 + 1) - 3*x - 3*x + 5*x)*(-1686 - 550 + 835 - 1374 - 465) in the form z + o*x and give o. -3240 Rearrange (150 + 165 + 72)*(-k + 18 - 18) + 3 + 2*k - 3 to b*k + r and give b. -385 Express -220 - 36*p**2 - 219 - 173*p**2 + 434 as t*p**2 + l + m*p and give l. -5 Express -24839*q**3 + 24845*q**3 - 2*q**4 + 161 - q**4 + 2*q**4 in the form b*q**2 + m*q**3 + a*q + u + j*q**4 and give u. 161 Rearrange 0 - h + 0 + (-2 - 1 + 1)*(0*h - 4*h + 2*h) + (-2*h + 3*h + 2*h)*(-438 + 1011 - 441) + 0*h + h + 0*h + 3*h - 3*h - 3*h to the form d*h + t and give d. 397 Rearrange 10*l**2 - 11*l**2 + 64*l - 2*l**3 + 25*l - 44*l to the form c*l**2 + o + x*l**3 + b*l and give b. 45 Express 279 + 5*h**4 + 14*h**3 - 158 - 2*h**2 + 2*h - 13*h**3 - 2*h**4 - 171 as k + u*h**3 + x*h**4 + c*h**2 + o*h and give o. 2 Rearrange 295*f + 3 - 573*f - 1 + 287*f to the form v + t*f and give v. 2 Express (-16 - 19 + 29 + 1 - 1 - 1 + (-3 + 4 + 1)*(-9 + 6 - 10) + 1 + 2 - 1)*(1 - o - 1) as d*o + x and give d. 31 Rearrange 11858*v**2 - 11858*v**2 - 1037*v**3 + (0*v**3 - v**3 + 0*v**3)*(5 - 7 - 1) to the form o + g*v + q*v**2 + h*v**3 and give h. -1034 Rearrange (-f + 1 - 1)*(-1 + 0 - 1) - 18051*f - 10370*f + 6917*f - 1 to u*f + o and give u. -21502 Express 1396 - 689 - 700 + 68*u**4 + (-5*u + 3*u - 3*u)*(-2*u**3 + 6*u**3 - 2*u**3) in the form w*u + b*u**3 + i*u**4 + f*u**2 + n and give i. 58 Express (655 - 98*a + 11*a - 655)*(3*a**3 + 2*a**3 - 3*a**3) in the form h*a**3 + o*a**4 + l*a**2 + k*a + w and give o. -174 Express (9 + 0 + 5)*(-3 - 2 + 1)*(-4 - 1 + 4)*(3 - 2 + 1)*(-3*f + f + 0*f + (1 - 4 + 2)*(-2 + f + 2)) as t*f + u and give t. -336 Express 3*x + 1269*x**2 + 4*x - 6*x - 2*x - 1252*x**2 - 36 in the form u*x**2 + d + z*x and give d. -36 Express -159 + 67 + 141*d**2 + 76 in the form t + m*d**2 + j*d and give m. 141 Rearrange 1313*m - 6 + 436*m + 6 to d + k*m and give k. 1749 Express 0*n**3 + 5*n**3 - 2*n**3 + (-6*n**2 + 7*n**2 + 2300*n - 5600*n)*(n + 5*n - 4*n) in the form k*n**2 + s*n + v*n**3 + d and give k. -6600 Rearrange 42*b**2 - 69*b**2 + 33363*b + 296 - 33365*b to the form w*b + p*b**2 + d and give w. -2 Rearrange 1 - 1841*j**2 - 590*j**2 - 602*j**2 - 1 to the form c*j**2 + z*j + v and give v. 0 Rearrange (7255*d**2 - 22292*d**2 - 7445*d**2)*(3 - 2*d - 3) to z*d + n*d**3 + t*d**2 + y and give n. 44964 Express -96*o**4 + 397*o**4 - 3*o**2 + 2*o + 23 - 100*o**4 - 105*o**4 - 95*o**4 in the form s*o**4 + v*o**3 + j*o + p*o**2 + w and give j. 2 Express (-11240 - 22741*h**2 - 11245 + 3238*h**2 + 22485 - 11665*h**2)*(2 - 2 + 3*h) as b*h**3 + p + i*h**2 + y*h and give b. -93504 Rearrange -1180*c + 1105*c - 982*c - 1300*c to l + g*c and give g. -2357 Rearrange 21*v**2 - 69*v**2 - v**3 + 27*v**2 - 7*v - 193 - v + 19*v**2 to the form i*v**3 + u*v**2 + w*v + z and give z. -193 Express (-17 + 30*n - 23 + 38)*(35*n + 4*n - 5*n) in the form w*n**2 + m*n + q and give w. 1020 Rearrange -2 + 2 + y + (-5*y + 2*y + y)*(-1 - 4 + 6) - 996*y - 1541*y + 600*y to d + f*y and give f. -1938 Rearrange (2 - 4 + 0)*(-4*f + 151*f - 8*f)*(4*f**2 - 2*f**2 + 3*f**2)*(-2 - 2 + 5) to the form p*f + t + d*f**3 + c*f**2 and give d. -1390 Rearrange 3*u + 12*u**2 + 3*u**2 + 13*u**2 - 1 - 9*u**2 + 10*u**2 to k + t*u + b*u**2 and give t. 3 Express 15 + 366*m**2 + 7 - 710*m**2 + 357*m**2 as y + q*m**2 + c*m and give q. 13 Express 4170*x + 3*x**2 + x**3 - 2075*x - 6*x**4 - 2067*x in the form a + b*x + n*x**4 + g*x**2 + q*x**3 and give b. 28 Rearrange (-1 - 2 + 4)*(-k - 5*k + 920 + 4*k + 609) to the form l + i*k and give i. -2 Express 44412252 - 44412252 - 15926*l in the form f*l + g and give f. -15926 Rearrange 15 - 3*c - 35*c**3 + 17 + 18 - 49 - 13*c**3 to the form f*c**3 + g*c**2 + z*c + x and give g. 0 Rearrange (7*b - 2*b - 4*b)*(-38*b + 89*b - 97*b + 0 + 0 + 2*b + (2 - 4 + 0)*(-3*b - 2*b + 4*b)) to the form m*b + l*b**2 + o and give l. -42 Express (h - 3*h + 4*h)*(869*h**2 - 136*h**2 + 1105*h**2) + 8*h**3 + 7*h**3 - h**3 as c*h**3 + i + q*h**2 + b*h and give c. 3690 Rearrange 16*a**2 - a**4 - 109*a + 124*a - 14 + 23*a**2 - 10 + 25 to o*a**3 + z*a**2 + c*a + f*a**4 + r and give z. 39 Rearrange -6*v**2 - v**2 + 6*v**2 - 17326*v - 514 + 17330*v to the form s*v + a*v**2 + o and give s. 4 Rearrange 10*k**2 + 74 + 76 - 10*k - 220 + 70 to the form q + j*k + c*k**2 and give j. -10 Rearrange (735*h**4 - 4 + 4 + 1137*h**4)*(-1 + 5 + 0) to o*h**2 + q + n*h + u*h**4 + k*h**3 and give u. 7488 Rearrange 3582*f + 4380*f - 1948*f - 1788*f + 4743*f to h*f + r and give r. 0 Express 359*p + 435*p**2 + 361*p**2 - 158*p + 173*p**2 - 203*p as h*p**2 + b + m*p and give h. 969 Rearrange -6*a + 6*a + 5*a**2 - 206*a**3 - a - 670*a**3 + 230*a**3 to the form f + k*a**2 + q*a + t*a**3 and give t. -646 Express -59*k**4 - 57*k + 62*k**4 + 3*k**2 + 59*k - 2*k**3 + 3 as o*k**4 + v*k**3 + q*k**2 + r*k + w and give r. 2 Rearrange 2*k**2 + 10*k**4 - 707 - 699 - 2*k + 1408 to the form l*k**3 + b*k**2 + a*k + q*k**4 + m and give m. 2 Rearrange 7*a - 2*a - 3*a + ((2*a + 10*a + 2*a)*(-4 + 3 - 2) - 3*a - a + 6*a - a + 0*a + 4*a)*(-1 - 1 + 3) to f + i*a and give i. -35 Express (-1316 + 116 - 789)*(-t - t + 3*t)*(3 - 1 - 1) as p + v*t and give v. -1989 Rearrange (-474 - 1352 + 880)*(-6*a - 2*a + 3*a)*(a + 5*a - 4*a) to the form f*a**2 + v*a + b and give b. 0 Rearrange -95*x + 26*x + 34*x - 2*x**2 + 359 + 35*x to g*x**2 + u*x + z and give z. 359 Rearrange -4*s - s + 6*s + (3*s + 0*s - 2*s)*(1 - 1 + 1) + 0*s - s + 5 + 3*s + (352*s - 709*s + 148*s)*(5 - 1 - 2)*(-2 + 0 - 3) to the form c*s + t and give t. 5 Express 268*j + 1 - 747*j + 240*j in the form u + b*j and give b. -239 Rearrange 53*l - 579*l - 508*l + 47*l - 310*l to the form p*l + w and give p. -1297 Express -186*g**2 - 2*g**4 + 606*g**3 - 49 - 1217*g**3 + g + 52 + 607*g**3 as u*g**3 + h*g**4 + k*g + w*g**2 + i and give i. 3 Rearrange (-1328 + 4*r + 1328)*(-4*r + 3*r - 2*r) + (-4*r + 0*r + 3*r)*(-3 + 3 + 2*r) + (-3*r - 3*r + 2*r)*(-1 - r + 1) to d*r + o + a*r**2 and give a. -10 Express -w**2 + 0*w**2 + 0*w**2 + (-573*w + 275*w + 172*w)*(-w + 5*w - w) - 2 + 5*w**2 + 2 in the form u*w + q + s*w**2 and give s. -374 Express 20*j + 88*j
{ "pile_set_name": "DM Mathematics" }
se 0 = -116*i + 112*i + 1992. Suppose -4740 = 486*c - i*c. What is the units digit of c? 5 Suppose -24 = -d + 2*l, 4*d + 3*l = -l + 48. Let f be 12/d*12/3. Suppose -4*x - 4 = 0, -f*x = 6*s - s - 152. What is the units digit of s? 1 Let n = 31323 - 19786. What is the thousands digit of n? 1 Let p = 728 + -239. Suppose -5*v - 6*n = -3*n - p, -4*v + 404 = -4*n. What is the tens digit of v? 9 Let i = 53 + -56. Let t be 42/(i + 120/39). Suppose r + t = 7*r. What is the tens digit of r? 9 Suppose 20700 = 38*a - 4988. Let z = a - -887. What is the tens digit of z? 6 Let p be 6/2 - (-3 + (-8)/(-2)). Suppose -p*t - 275 = 9*t. What is the tens digit of 2 + (222/(-5))/(10/t)? 1 Suppose -4*b = -0*b - 12. Let t = 2021 + -1558. Suppose -b*m + t = 4*j, -m + 3*j - 2*j = -166. What is the hundreds digit of m? 1 Let p = 205 - 297. Let s = -486 + p. What is the tens digit of s/(-6) - (1 - 25/15)? 9 Suppose 10*m - 1249 = 2481. What is the units digit of m? 3 Let y = -58 + 103. What is the hundreds digit of ((-5)/(y/(-6)))/(3/666)? 1 Let s(a) = -a**3 - 18*a**2 + 19*a + 32. Let z be s(-19). Suppose -6*p = -10 - z. Suppose -2*d + 105 = 5*m, p*m - 4*m + 9 = 0. What is the units digit of d? 0 Let j(q) = q**3 - 4*q**2 + 11. Let v be j(3). Suppose 3*p - 383 = -v*i, -199 = -4*i - 2*p + 587. What is the hundreds digit of i? 1 Suppose 637*p + 62702 = 2*t + 639*p, 2*p + 62734 = 2*t. What is the units digit of t? 9 Suppose -5*d + 100 + 80 = 0. Let o = 66 - d. Suppose 36 = a + 4*n, -5*n + o + 4 = a. What is the units digit of a? 4 Let q = 11101 + -4293. What is the hundreds digit of q? 8 Let b(y) = 56*y**2 + 44*y + 856. What is the units digit of b(-25)? 6 Suppose -23 + 24 = f. Let x(j) = -36*j**2 - 4*j + 4. Let d(w) = -71*w**2 - 9*w + 9. Let r(a) = 6*d(a) - 14*x(a). What is the tens digit of r(f)? 7 Suppose 0 = -4*j + 3*f + 23, 3*f - 7 + 28 = 3*j. What is the units digit of (-172*9/72)/((-1)/j)? 3 Let y = 35366 - -404. What is the units digit of y? 0 Let p = -2344 - -6712. What is the hundreds digit of p? 3 Suppose 29*g - 33*g + 52 = 0. Suppose -5*u + g*u = -16. What is the units digit of (-4)/u - 7/(35/(-890))? 0 Suppose 0 = 3*p + s - 6141, -3*p = -4*p - 4*s + 2058. Suppose p = 4*n - n. What is the hundreds digit of n? 6 Suppose -4*h = 5*y - 323, -5*h + 2 = -4*h. Let n(q) = 2*q + 7. Let i be n(-7). What is the units digit of (-9)/i + (-18)/y? 1 Let a(k) = 17*k**3 - 6*k**2 + 8*k - 10. Let r(f) = 12*f**3 - 5*f**2 + 9*f - 8. Let h(g) = -3*a(g) + 4*r(g). What is the tens digit of h(-8)? 1 Let t = -3 + 23. Suppose 3*y - 4*q = -38, 4 = 4*q + t. What is the units digit of -6*52/y - (-32)/48? 8 Suppose 181575 = 4*c + c - 5*q, 0 = -5*c + 2*q + 181569. What is the tens digit of c? 1 Suppose -13*c = -10*c + 3*o - 123, -5*c = -3*o - 237. What is the units digit of 6*(-6)/45 + 68616/c? 4 Suppose f + 22*k - 25*k = 9999, 3*f - 3*k - 30021 = 0. What is the thousands digit of f? 0 Let x be 86/10 + 3/(-5). Suppose 5*h - x = i + 2, 0 = 5*h - 2*i - 5. What is the units digit of 50 - (5 - h/3)? 6 Let k(x) be the second derivative of 2*x**4 + 3*x**3/2 + 41*x**2/2 - 71*x. What is the units digit of k(-4)? 9 Suppose h - 108 = x - 290, -4*h = -5*x + 912. Suppose 9*f + 44 = 71. Suppose -2*n + f*n = x. What is the units digit of n? 4 Suppose -5*w - 9158 = -7*w - 3*g, 2*g - 9162 = -2*w. What is the tens digit of w? 8 Let m be 84 - (4/1 + 0). Let u(h) = 32*h**2 - 42*h - h**3 + m*h + 36 - 62*h. What is the tens digit of u(31)? 5 Let h(i) = -10*i + 1. Let j be h(-3). Let w = 27 - j. What is the tens digit of 0*w/(-16) - -73? 7 Let f(d) = -2*d**3 + 55*d**2 + 43*d - 142. What is the tens digit of f(23)? 0 Suppose -z = 4*c - 3, -13 = 3*z - c - 22. What is the units digit of (-106*(-8 - -10))/((-2)/z)? 8 Let t(l) = 19*l**3 + 23*l**2 - 6*l - 39. Let r(n) = -7*n**3 - 8*n**2 + n + 13. Let i(h) = -11*r(h) - 4*t(h). What is the units digit of i(7)? 1 Suppose -2*q + 29*c = 36*c - 6323, 4*q - 12607 = -c. What is the hundreds digit of q? 1 Suppose -132*k = -5*l - 135*k + 19214, 5*k - 3834 = -l. What is the tens digit of l? 4 Let f(q) = -q**2 - 9*q - 27. Let d be f(-3). What is the hundreds digit of (3*4/d)/((-4)/1941)? 6 Let d(g) = -25*g**3 + g - 3. Suppose 26 = -3*u + 17. Let j be d(u). Suppose 4*m - m = j. What is the tens digit of m? 2 Suppose -5*f = x - 105378 - 121306, -90680 = -2*f - 2*x. Let q be f/108 + -1 + 11/9. Suppose -19*t + 24*t - q = 0. What is the units digit of t? 4 Suppose 0 = -4*w + 2*x + 30600, 20*w - 5*x - 22943 = 17*w. What is the tens digit of w? 5 Let p = 72 - 24. Let t = -54 + p. What is the tens digit of ((-124)/t)/(-6*(-3)/54)? 6 Let u(y) = -6*y - 63. Let r be u(0). Let j be (-4)/6 - (-7)/(r/48). Let m(k) = -40*k - 44. What is the units digit of m(j)? 6 Let x(q) be the first derivative of -3*q**3 + 2*q**2 - 10*q - 1. Let o be x(5). What is the tens digit of o/(-3) + 7/(105/(-10))? 7 Let b(c) = 1388*c + 24. Let f be b(-2). What is the tens digit of (1 + f)/(-7) - 4? 8 Let v be (-2)/(-3) - 1334/(-6). Let q = v + -123. Let w = -74 + q. What is the tens digit of w? 2 Let m(i) = -4*i + 0*i**2 + 11*i - 3 + 2*i**2. Let v be 1/(3/77 + (-4)/22). What is the tens digit of m(v)? 4 Let f = -75373 - -145384. What is the units digit of f? 1 Suppose 0 = -4*j - 0*j - 316. Let w = j - -13. Let z = w + 213. What is the units digit of z? 7 Let r(g) be the third derivative of -g**4/8 + 71*g**3/6 - 14*g**2. Let i be r(23). Suppose -2*x + 5*j = 3, -2*x - 5*j + 37 = -i*j. What is the units digit of x? 1 Let k(l) = -l**3 - 17*l**2 - 17*l - 10. Let r be k(-16). Suppose 65 = x - r*x - 5*h, h + 5 = 0. Let t = x + 54. What is the tens digit of t? 4 Suppose 4*d - 12*a - 174268 = 0, 66*d - 70*d + 174236 = -4*a. What is the ten thousands digit of d? 4 Suppose 3*t + 105 = 3*h, -105 = 7*h - 10*h - 5*t. Let y = 0 + 23. Suppose h = y*o - 18*o. What is the units digit of o? 7 Suppose -7*f + 6410 = -2347. Let d = f + 186. What is the units digit of d? 7 Suppose -t - 43620 = -5*a, 3*t - 26423 - 17217 = -5*a. What is the hundreds digit of a? 7 Let b(l) = 36*l**3 + l**2 - l + 1. Let j be b(1). Suppose 5*v = n + 66, -3*v - 3*n + j - 1 = 0. Suppose 6*s - 23 = v. What is the units digit of s? 6 Let w(o) = 2*o + 162. Let h(d) = 2*d - 35. Let b be h(15). Let p(t) = -t**3 - 6*t**2 - 7*t - 10. Let v be p(b). What is the units digit of w(v)? 2 Let r be 4 + -1 + (2 - (6 - -1)). What is the hundreds digit of (16 - 7 - 10)/(r/1766)? 8 Let y(d) = 11431*d + 161. What is the hundreds digit of y(6)? 7 Suppose 0 = -66*x + 84703 + 282323. What is the units digit of x? 1 Suppose -8 = -10*l + 42. Suppose 4*b = 4*k + 1141 - 117, l*b = -4*k + 1262. What is the units digit of b? 4 Suppose 49*h - 18*h = 159278. What is the tens digit of h? 3 Let t(v) = 45*v**2 - 16*v - 71. Let y be t(-5). Suppose y = 8*z - 6*z. What is the units digit of z? 7 Let l(b) = -3*b + 29. Let g be l(8). Suppose -d + 1282 = d + 4*a, 3*a = -g*d + 3205. What is the units digit of d? 1 Let z = -37016 - -86456. What is the tens digit of z? 4 Suppose 15 = 23*i - 20*i. What is the hundreds digit of (-7)/2*(i + (-3515)/35)? 3 Let d be (-1 + -8)*155/15 - -2. What is the tens digit of 128/(-7 - 651/d)? 3 Let g = 126 - 120. Let u(r) = -6*r + 38. Let n be u(g). Suppose n*q - o = -0*o + 66, 3*o + 33 = q. What is the units digit of q? 3 Suppose y = 51 - 29. Suppose y*t - 31944 = -11*t. What is the tens digit of t? 6 Suppose 140*y - 59840 = 106*y. What is the hundreds digit of y? 7 Let c(u) = 5*u**2 - 36*u - 529. What is the tens digit of c(48)? 6 Let g(k) = 8*k - 939. Let q be g(0). Let n = -542 - q. What is the hundreds digit of n? 3 What is the thousands digit of (-2)/(-3) + 2721100/75? 6 Let m be ((-6)/(-2) + 4345/(-10))*-2. Suppose -j - 54 = -m. What is the tens digit of j? 0 Let r = 157 - 74. Suppose -r*o = -79*o - 3876. What is the tens digit of o? 6 Let y = -64 + 36. Let w = 522 - 475. Let v = y + w. What is the units digit of v? 9 Let t(u) = 996*u - 72. Let o be t(6). Suppose 0 = -19*s + 7*s + o. What is the hundreds digit of s? 4 What is the tens digit of -56*16/(-56) - -12019? 3 Let d = -227 + 391. Suppose -5*x + 5 + 45 = 0. Suppose 2*u + 4*l - 352 = 0, -5*l = -u - x*l + d. What is the units digit of u? 4 Suppose 3*g + 9 = 0, -26 = -4*j + 2*j - 2*g. Suppose -1911 = 9*i - j*i
{ "pile_set_name": "DM Mathematics" }
of sequence ffuf? 1/91 Four letters picked without replacement from {k: 2, f: 2, x: 2}. Give prob of sequence xkff. 1/45 Two letters picked without replacement from tnntttn. What is prob of sequence tt? 2/7 Two letters picked without replacement from arrmrmr. What is prob of sequence am? 1/21 Calculate prob of sequence tqtl when four letters picked without replacement from qlttllxxtxl. 1/330 Three letters picked without replacement from {z: 11, y: 7, q: 2}. What is prob of sequence yzz? 77/684 Calculate prob of sequence bk when two letters picked without replacement from pgpgktgggbkgppp. 1/105 Four letters picked without replacement from xkrwkxlm. What is prob of sequence xklm? 1/420 Calculate prob of sequence wwmw when four letters picked without replacement from {w: 5, l: 3, m: 1}. 5/252 Three letters picked without replacement from {d: 1, j: 1, w: 4, u: 1, q: 2, k: 3}. Give prob of sequence jkq. 1/220 Three letters picked without replacement from {d: 10, b: 6, w: 4}. Give prob of sequence dwd. 1/19 Four letters picked without replacement from {a: 1, v: 2, e: 2, o: 1, r: 2}. What is prob of sequence rree? 1/420 Three letters picked without replacement from kkwqvqvyn. Give prob of sequence wyv. 1/252 What is prob of sequence nnf when three letters picked without replacement from nnfffffffffnffffnf? 7/204 What is prob of sequence brq when three letters picked without replacement from {e: 1, q: 1, b: 1, o: 1, h: 1, r: 2}? 1/105 Calculate prob of sequence uv when two letters picked without replacement from nvqkaauu. 1/28 Calculate prob of sequence aw when two letters picked without replacement from wwoatvio. 1/28 Three letters picked without replacement from wdvwzwv. What is prob of sequence dww? 1/35 Three letters picked without replacement from {l: 2, n: 1, k: 4, x: 1, j: 2}. Give prob of sequence kjj. 1/90 Calculate prob of sequence vl when two letters picked without replacement from {l: 2, v: 7}. 7/36 Four letters picked without replacement from onwnonenenoennoeeo. What is prob of sequence owoe? 5/3672 Three letters picked without replacement from lwa. Give prob of sequence wla. 1/6 What is prob of sequence pm when two letters picked without replacement from {p: 1, g: 1, s: 3, m: 5, i: 1}? 1/22 Two letters picked without replacement from {z: 3, r: 1, s: 1, m: 4, n: 4, i: 1}. Give prob of sequence mn. 8/91 Calculate prob of sequence pojp when four letters picked without replacement from dopjdpojddjd. 1/990 Calculate prob of sequence ib when two letters picked without replacement from vovoobcobi. 1/45 What is prob of sequence bzbx when four letters picked without replacement from pbzbzxbxsz? 1/140 What is prob of sequence ll when two letters picked without replacement from hlnnffulnl? 1/15 Two letters picked without replacement from {b: 1, u: 13, a: 1}. Give prob of sequence uu. 26/35 Two letters picked without replacement from wwiytyk. What is prob of sequence ik? 1/42 Calculate prob of sequence wh when two letters picked without replacement from jzhwhfw. 2/21 Two letters picked without replacement from ycck. What is prob of sequence kk? 0 Two letters picked without replacement from lullbuyby. Give prob of sequence uu. 1/36 Calculate prob of sequence yy when two letters picked without replacement from {u: 3, y: 4, i: 1}. 3/14 What is prob of sequence idh when three letters picked without replacement from wdihddhdihdjdwji? 9/560 Calculate prob of sequence jv when two letters picked without replacement from ivvovekjkok. 3/110 Three letters picked without replacement from {j: 6, d: 4}. What is prob of sequence ddj? 1/10 Calculate prob of sequence yy when two letters picked without replacement from nynnnnnnnnynnxnyn. 3/136 Two letters picked without replacement from vnfvpqc. Give prob of sequence nf. 1/42 Calculate prob of sequence nzo when three letters picked without replacement from {r: 1, o: 3, u: 1, z: 5, n: 1}. 1/66 Calculate prob of sequence lzl when three letters picked without replacement from {z: 3, l: 15}. 35/272 Two letters picked without replacement from {g: 16, l: 4}. What is prob of sequence lg? 16/95 Three letters picked without replacement from {h: 5, v: 2}. What is prob of sequence vhh? 4/21 Calculate prob of sequence xx when two letters picked without replacement from xftxftxxffxfx. 5/26 Three letters picked without replacement from yvyfyvvyxvxzxbbbv. What is prob of sequence zfy? 1/1020 Three letters picked without replacement from djdjcjjccj. What is prob of sequence cdd? 1/120 Two letters picked without replacement from iidydddiyd. Give prob of sequence yd. 1/9 Calculate prob of sequence ttt when three letters picked without replacement from {t: 5}. 1 Calculate prob of sequence cf when two letters picked without replacement from frcr. 1/12 Three letters picked without replacement from sawxkxiikiwk. Give prob of sequence xws. 1/330 What is prob of sequence oow when three letters picked without replacement from {w: 4, k: 1, g: 3, o: 6, i: 1}? 4/91 What is prob of sequence cf when two letters picked without replacement from fccffcccffcc? 35/132 Four letters picked without replacement from {p: 3, x: 4, f: 1, t: 6, c: 3, j: 1}. What is prob of sequence tjxc? 1/1020 Two letters picked without replacement from mmysysqyyl. Give prob of sequence sq. 1/45 Two letters picked without replacement from ayyyeyyheyhyhyae. What is prob of sequence ay? 1/15 Calculate prob of sequence xmx when three letters picked without replacement from mnmnuuxxxxxxxumx. 1/20 Four letters picked without replacement from szszszzsss. Give prob of sequence zszs. 1/14 Calculate prob of sequence ooo when three letters picked without replacement from {o: 9}. 1 Calculate prob of sequence ki when two letters picked without replacement from kti. 1/6 Three letters picked without replacement from {c: 10, r: 4, n: 5}. What is prob of sequence rcr? 20/969 Calculate prob of sequence ja when two letters picked without replacement from uhanannnaunaajaa. 7/240 Calculate prob of sequence an when two letters picked without replacement from saaaaaszzhnshahzzz. 1/51 Four letters picked without replacement from vggjjgwgwwvvj. What is prob of sequence jvjj? 3/2860 What is prob of sequence vjv when three letters picked without replacement from vvjjylyvjyyvjhvlmyjj? 1/57 Three letters picked without replacement from kddefeedwede. Give prob of sequence dwk. 1/330 What is prob of sequence aca when three letters picked without replacement from acvvvvcvaaaavvaa? 1/40 Two letters picked without replacement from qhhqshhsshqgqqshqh. What is prob of sequence hs? 14/153 Calculate prob of sequence wy when two letters picked without replacement from {y: 2, v: 4, d: 2, z: 1, w: 1}. 1/45 Calculate prob of sequence gtg when three letters picked without replacement from {t: 4, g: 3, m: 9}. 1/140 Calculate prob of sequence tb when two letters picked without replacement from ttdkwttxbtdtxbkt. 7/120 Two letters picked without replacement from {m: 2, j: 2, k: 4, a: 3}. What is prob of sequence kk? 6/55 Calculate prob of sequence rt when two letters picked without replacement from {r: 2, t: 1, z: 1, j: 7, y: 6}. 1/136 What is prob of sequence yx when two letters picked without replacement from xxxxxyyxyxyxxyxx? 11/48 Three letters picked without replacement from {r: 14, o: 1}. What is prob of sequence rrr? 4/5 Two letters picked without replacement from {q: 3, x: 3}. Give prob of sequence qx. 3/10 Two letters picked without replacement from {r: 2, j: 3, h: 2, l: 3, b: 2, y: 4}. What is prob of sequence bj? 1/40 What is prob of sequence fxxx when four letters picked without replacement from {f: 4, x: 14}? 91/765 Calculate prob of sequence ma when two letters picked without replacement from uuucuccacacccccmma. 1/51 Four letters picked without replacement from {l: 4, k: 2, r: 2, u: 3}. Give prob of sequence urrk. 1/660 Four letters picked without replacement from bqblbqbqlb. What is prob of sequence bbll? 1/126 Four letters picked without replacement from juushusuuqbss. What is prob of sequence sbjq? 1/4290 What is prob of sequence yuu when three letters picked without replacement from {y: 5, u: 4, w: 8}? 1/68 What is prob of sequence vrrp when four letters picked without replacement from rvpppvrpvrp
{ "pile_set_name": "DM Mathematics" }
+ 6*q)*(-q**2 + 2 - 2). 493*q**3 Expand (k + 144*k**2 - 4*k + 10 - 141*k**2)*(86*k + 65*k - 114*k). 111*k**3 - 111*k**2 + 370*k Expand ((27*h - 26*h + 28*h)*(6*h**3 - 3*h**3 - 2*h**3) + 2*h**4 + h**4 - h**4)*(-172 + 81 - 6*h + 88). -186*h**5 - 93*h**4 Expand -107*f - 85*f + 9*f - 200*f + (-2*f + 2*f + 2*f)*(-14 + 34 + 8). -327*f Expand (-7*g + 2*g - g)*(-10*g + 10*g - 4*g**3)*(4*g - 2*g - 4*g)*((4 - 5 + 2)*(3 - 3 - 6) + 3 + 0 + 0). 144*g**5 Expand -460407 + 460410 + 1677*v + 32*v + (v - 2*v + 0*v)*(-4 + 7 - 1). 1707*v + 3 Expand -3*l**3 + 0*l**3 + 2*l**3 + (10 - 10 + 8*l)*(-335*l**2 - 270*l**2 + 712*l**2) + 3*l**3 - l**3 - 3*l**3. 854*l**3 Expand (4 + 2 - 5)*(-2 + 2 + 2*m)*(111 + 74515474*m + 24 - 74515411*m). 126*m**2 + 270*m Expand (24 + 5 - 6)*(-3 + 4 - 2)*(3*g - g - g) + 2*g + 0*g - 4*g + (-g - 2*g + 5*g)*(-2 + 2 + 7) + 2*g + 0*g - 4*g. -13*g Expand 0*j**5 - j**5 - j**5 + (38*j**5 + 154*j**5 + 13*j**5)*(8 - 4 + 3). 1433*j**5 Expand (-2*c**3 + 3*c**4 + 2*c**3)*(485 - c + 1103 + 1399). -3*c**5 + 8961*c**4 Expand -4*r**4 + 3*r**2 - 3*r**2 + (10*r**2 - 35*r**2 - 13*r**2)*(3*r**2 - r**2 + 3*r**2). -194*r**4 Expand 103*p**5 + 47*p**5 + 42*p**5 + (3 - 3 - 3*p)*(-7*p + 7*p + 4*p**4). 180*p**5 Expand (-3*r + r**2 + 3*r)*(689*r + 3 + 980*r - 251*r). 1418*r**3 + 3*r**2 Expand (5*q + 5 - 5)*(-q**3 - 3*q**3 + q**3) - 20*q**4 - 2529*q**2 + 2529*q**2. -35*q**4 Expand (-1 + 1 - 2)*(-3 + 2 + 0)*(-3543901*t - 1 + 3566641*t + 1). 45480*t Expand 0*k**4 - 2*k**4 - 253*k**2 + 254*k**2 + (-54 - 7*k**3 + 54)*(-4*k - k + 2*k). 19*k**4 + k**2 Expand ((2*w + 0*w - 3*w)*(0*w**2 + w**2 - 2*w**2) + 2*w**3 + 4*w**3 - 5*w**3 - 238*w**3 - 1 - 15 + 232*w**3)*(7 - 3 + 1). -20*w**3 - 80 Expand 433*f**3 - 664*f + 664*f - f**3 - f**3 - f**3 + 2*f**2 - 2*f**2 - 2*f**3 + (-3*f - 4*f + 5*f)*(-f - 2*f**2 + f) + f**3 + 2*f**3 - 4*f**3. 431*f**3 Expand -1483*b + 333*b + 807*b - 1850*b - 5061*b + b + b - b + (-2*b - 1 + 1)*(-5 + 1 + 3). -7251*b Expand ((-21 - 16 + 49)*(2 - 2 - 1) - 4 - 6 + 8)*(0*z**3 + 0*z**3 + 2*z**4). -28*z**4 Expand (-4*w**3 + 6*w**3 + 0*w**3 + (2*w**3 - 3*w**3 + 3*w**3)*(4 - 3 + 1) - 1 + 3*w - w + 0*w - 2*w**3)*(-616 + 323 + 319)*(-w - 3*w + 2*w). -208*w**4 - 104*w**2 + 52*w Expand (-3 + 2 + 2)*(0 + 0 + 9*o)*(o - 4 + 4)*(-3 - 3 - 3). -81*o**2 Expand (-36933*v + 1432*v**3 + 36933*v)*(0 + 0 + v). 1432*v**4 Expand (r + 0*r - 4*r)*(-723 + 9 - 8)*(r - 3*r + 4*r - 1 + r + 1 + (r - 3*r + 3*r)*(-3 + 0 + 5)). 10830*r**2 Expand (-16 + 0*w + 2*w + 17)*(279 - 279 - 134*w). -268*w**2 - 134*w Expand (23 + 25 - 19)*((2*u**3 - 5*u + 5*u)*(-2*u - 2*u + 2*u) + u**4 + 4*u**4 - 6*u**4). -145*u**4 Expand -4*f**4 + 2*f**4 - f**4 + (3*f**4 - 3*f**4 + f**4)*(726 + 2121 - 1038). 1806*f**4 Expand (-3*y + 2*y + 0*y)*(-3*y + 3*y - y) + 2*y**2 - 7*y + 7*y + y + 36*y**2 - 38 + 38. 39*y**2 + y Expand 2305 - 2305 - 58*b**3 + (-4*b + 2*b + 0*b)*(-3*b**2 - b**2 + 2*b**2) + 5*b**3 - 1 + 1. -49*b**3 Expand ((-2*o - 4 + 3 + 3)*(4*o + 3 - 3) - 2*o**2 + 4*o**2 - 3*o**2)*(0*o - 6*o - 9*o)*(-32 - 81*o + 32). -10935*o**4 + 9720*o**3 Expand (6 - 1 - 1)*(54*v - 60 - 29 - 52*v)*(2*v**4 + 6*v**3 - 6*v**3). 16*v**5 - 712*v**4 Expand (0*l + 6*l - 3*l)*(-9 + 12 - 11)*(-2*l + l + 6*l)*(3*l + 0*l - l). -240*l**3 Expand (1 + 3 - 3)*(-3092*t - 20 - 2505*t + 20)*(-8*t + 6*t + 9*t). -39179*t**2 Expand (-4*z + 3*z - z)*(-3 - 21 + 8) + 3 + 29*z - 5 + 13*z + (5 + 1 - 4)*(-2*z + z + 0*z). 72*z - 2 Expand (378*n - 5*n**2 - 383*n + 0*n**2)*((3*n**3 + 0*n**3 - 4*n**3)*(-11 + 9 - 10) + n**3 + 1 - 1). -65*n**5 - 65*n**4 Expand (1701 + 184*o + 390*o - 1702)*(3 - 2 + 0). 574*o - 1 Expand (4 - 5 + 0)*(-66*m + 42 + 33 - 67). 66*m - 8 Expand z + z + 0*z + ((2 - 2 + 2)*(-4 + 1 + 2) + 0 - 5 - 1)*(z - 3*z - 6 + 9). 18*z - 24 Expand (-3 + 2 + 3 + (3 - 1 - 3)*(-5 + 4 + 2) + 11 - 6 + 159 + 1 - 1 - 2 + 1 + 3 - 5)*(-3*r + r + 0*r). -324*r Expand (-1 + 3*i**2 + 1)*(9026*i + 4471*i + 3436*i + 11686*i + 12602*i). 123663*i**3 Expand (2 + 0 - 1)*(-160*m + 98*m + 96*m)*(-m + m + 3*m). 102*m**2 Expand 4*a + 2*a**5 - 4*a + (3*a**4 + a**4 - 6*a**4)*(8724*a + 8635*a - 17257*a). -202*a**5 Expand -5387*j**2 - 197*j**2 + 653*j**2 + j**2 + 2*j**2 - 5*j**2 - 6*j**2 + 4*j**2 + j**2 + (-3 - 3 + 4)*(-3*j**2 + 0*j**2 + 2*j**2) - j**2 - 2*j**2 + j**2. -4934*j**2 Expand (-3*q + 3*q + q)*(4 - 2*q - 4) + 0*q**2 - 2*q**2 - q**2 + (-q + q + 11*q)*(77*q - 34*q - 28*q). 160*q**2 Expand ((0 + 3 - 1)*(-4*g + 9*g + g) + g + 2 - 2 + 3*g + 3*g - 5*g - 2*g + g + 2*g + 4*g - 2*g + 0*g + (-g + 0*g - g)*(1 - 4 + 2))*(4*g - 7*g**4 + 0*g - 3*g). -133*g**5 + 19*g**2 Expand (5*d**2 + d**2 - 3*d**2)*(13200*d - 28442*d + 13351*d + (-4*d + 2*d + 0*d)*(-4 + 3 - 1)). -5661*d**3 Expand (0*g + 2*g + 0*g)*(2 + 3*g**2 - 2) - 2714507*g + 2714507*g + 917*g**3 + 3*g**2. 923*g**3 + 3*g**2 Expand (-3*o**2 - 4*o**2 + 4*o**2)*((-2 + 4 - 3)*(o - 4*o - 2*o) + (-o + 2 - 2 + (2*o + 4*o - 3*o)*(2 - 2 + 1))*(1 - 2 + 0)). -9*o**3 Expand -2*a**4 + 2*a**5 + 2*a**4 + 4*a**5 - 6*a**5 + 7*a**5 + (-4 + 4 + a)*(0*a**4 - 4*a**4 - a**4) - 150*a**5 - 63 + 63. -148*a**5 Expand (-166601*h**3 - 2 - 11*h**4 + 166601*h**3)*(-12*h + 0*h - 4*h). 176*h**5 + 32*h Expand (-17 + 0 - 5 + 5)*(692*c - 1 - 244*c - 140*c). -5236*c + 17 Expand (-3 - 2 + 1)*(0*n**5 + n**5 - 4*n**5) + n**5 + n**5 + 0*n**5 + (-3 + 4 + 3)*(17*n**4 + n**5 - 17*n**4). 18*n**5 Expand (0*z**5 + 4*z**5 - 2*z**5)*(-3 + 2 + 0) + 3*z**5 - 2*z**5 + 0*z**5 - 1178*z**5 + 608*z**5 + 608*z**5 + (-4*z**4 - 1 + 1)*(-3*z + 6*z + z). 21*z**5 Expand (-3 + 0 + 7)*(u + u - u)*(22*u + 43*u - 4*u)*(-10*u + 10*u - u**2). -244*u**4 Expand (4 - 2 + 0 + 3 - 3 + 1 + 1 - 1 - 2 + 0 + 3 - 4 + (1 - 1 + 1)*(-1 + 0 - 1))*(787*t - 374*t + 44 - 446*t). 66*t - 88 Expand (-2*o - 2*o + 6*o)*(-4*o**3 + o**3 + 2*o**3)*(2*o - 5*o - 3*o) - 8*o**5 - 1429*o - 3*o**5 - o**2 + 1412*o. o**5 - o**2 - 17*o Expand (3*b + 3*b - 3*b)*(-4 + 4 - 1) - 6*b - 8 + 8 - 3*b + 3*b + b + (3*b - 3*b - 2*b)*(-2 - 5 + 3) - 2 + 2 + b. b Expand (-4 + 3 + 0)*(123*y - 13345 - 28*y - 30*y - 28*y - 35*y). -2*y + 13345 Expand (g + g + g)*(1 - 31394*g - 11*g**2 + 31385*g + 1). -33*g**3 - 27*g**2 + 6*g Expand 0*y**2 + 2*y**3 + 3*y**2 + 4*y**4 - y**2 + (-114 + 48 + 55)*((4*y**4 - 8*y**2 + 8*y**2)*(3 - 3 - 4) + 5*y**4 - 2*y**4 - y**4). 158*y**4 + 2*y**3 + 2*y**2 Expand -4*h + 3*h + 2*h + (-2*h + 4 - 4)*(2 - 1 + 1) + 9*h - 6*h + 5*h - 243*h + 26*h - 13*h + (h + h + 0*h)*(4 - 7 + 1) + 3 + 2*h - 3. -227*h Expand (2*x - x - 3*x)*(-x + 0*x + 2*x) + 16*x**2 - 220*x**2 - 57*x**2 + 7*x - 7*x**2 - 7*x + (2*x - 3*x + 3*x)*(2*x - 5*x + x). -274*x**2 Expand 1 - 4*z**4 - 2*z**4 + 2*z**4 + (45*z - 45*z - 6*z**3)*(3 - 3 + 9*z). -58*z**4 + 1 Expand -102*a**4 + 781*a**4 - 244*a**4 + (-29 + 12*a**2 + 29)*(-2*a - a**2 + 2*a). 423*a**4 Expand (5684*r - 5684*r + 569*r**3)*(0*r + r - 3*r) - r**4 + 0*r**4 - 53*r**2 + 36*r**2. -1139*r**4 - 17*r**2 Expand (250*k - 16273 + 16273)*(3*k + 5*k - 4*k). 1000*k**2 Expand -818*k - 11661 + 11661 + (-k + 0*k - k)*(2 + 0 - 10). -802*k Expand -6*f**3 + 9*f**3 + 10*f**3 + (3 + f - 3)*(-2*f**2 + 3*f**2 + 44*f**2). 58*f**3 Expand (4 - 3 - 2 + (0 - 5 + 1)*(2 - 4 + 1))*(115 - 115 - 53*g). -159*g Expand (2 - 2 + 2)*(1895*m - 4918*m + 1955*m)*(-3*m**2 - m**4 + 3*m**2). 2136*m**5 Expand (2442*v - 5*v**2 - 2433*v + 14*v**2)*(15 - 9*v - 15). -81*v**3 - 81*v**2 Expand (5*v + 7*v + 9*v)*(2*v + 4 - 4 + (4 - 6 + 1)*(0*v - v + 4*v)*(-1 + 15 - 3)). -651*v**2 Expand (2*r + 2*r - 5*r + (-2 - 2 + 6)*(-8*r - 20 + 20) - 1 + 5*r + 1)*(3 + 2*r**2 - 3). -24*r**3 Expand (1 + 2 - 1)*(-2*l**2 - l**2 + l**2) + 2*l**2 + 2 - 2 - 5*l**2 + 3*l**2 + 0*l**2 + ((-1 - 2 + 0)*(1 - 1 + 1) - 37 + 2 - 20)*(2*l**2 + 2*l**2 - 6*l**2). 112*l**2 Expand (l**4 + l**4 + 0*l**4)*(-2 + 2 + l + (5 + 0 - 3)*(-2*l + 0 + 0) - 1465*l - 67*l - 9*l). -3088*l**5 Expand (10*y + 313*y - 11*y)*(6*y**2 + 2*y**2 - 3*y**2) + 2*y**3 - y**3 + y**3 + (5 - y - 5)*(2*y**2 + 2*y**2 - 3*y**2). 1561*y**3 Expand (2199*t**2 + 77*t - 11*t - 2210*t**2)*(2*t**3 + t**3 - 5*t**3). 22*t**5 - 132*t**4 Expand -114*k**2 + 89*k**2 + 3*k**2 - 2*k + 3*k**2 - 5*k**2 + 3*k**2 + (k - 4*k + k)*(2*k - 2*k - 2*k) - 3*k - k**2 + 3*k. -18*k**2 - 2*k Expand (-284 + 139 - 128)*((2*b - 2*b - b)*(-1 + 2 - 2)*(-2 + 2 + 1) - b + 4*b - b). -819*b Expand 1219*g**3 - 21*g**3 + 194*g**3 + (0 + g + 0)*(0*
{ "pile_set_name": "DM Mathematics" }
82 = 4*v - 2*f, 4*v + 6*f - 4*f - 78394 = 0. Is v composite? False Suppose 0 = -3*z - t + 15 - 4, 0 = z + 2*t - 7. Suppose -z*g + 6*g = 633. Is g prime? True Let k(v) = 2*v + 19. Let i be k(-7). Suppose 0 = x - 5*z - 1046, -3233 = -i*x - 5*z + 2087. Is x composite? False Let f(l) = -l + 8. Let c be f(4). Let w(j) = j + 1. Let n be w(c). Suppose -217 = -i - 0*q + 4*q, -n*i + 1101 = -4*q. Is i a prime number? False Let h(a) = -a + 1. Let z be h(-3). Suppose z = -5*k + 24, -4*p + 4*k = -4. Suppose -n + 3*i + 269 = n, -2*i = p*n - 701. Is n a composite number? False Suppose -5*z - 340016 = -21*z. Is z prime? False Suppose 0 = f + 2 + 3. Let q = f + 172. Suppose 4*l - 2373 = 5*c, 0 = -4*l + 2*c + 2525 - q. Is l a composite number? False Let j = 51 + -60. Let p(n) = 3*n**2 + 16*n + 24. Is p(j) a prime number? False Let n(o) = -o**3 + 7*o**2 + 8*o + 4. Let q be n(8). Let t(i) = -2*i**2 - 20*i - 11. Let v(x) = -x**2 - 13*x - 7. Let b(j) = -5*t(j) + 8*v(j). Is b(q) composite? True Suppose -107*h + 1501192 = -121035. Is h a composite number? False Let c(g) = 5*g**3 + 6*g**2 - 2*g - 10. Let t be c(5). Is -3*(4 - t/3) prime? True Is 19/(-133) + (-9760)/(-14) a composite number? True Let q(n) = 1 - 6 + 97*n - 19*n + 81*n. Let j be q(9). Suppose -d + j = d. Is d composite? True Suppose 28 = -2*l - 4*o, 2*l - 7 = 3*l - 5*o. Let r = l + 20. Suppose 0 = r*h - 138 - 814. Is h prime? False Let t be ((-3)/6)/(3/(-18)). Suppose -o - 4*o + 44 = -4*b, t*b - 12 = 0. Is 3194/22 + o/(-66) a prime number? False Suppose 0 = -4*g - 354 + 12598. Is g prime? True Let a be ((-2)/2)/(-1)*4. Let j = -136 + 247. Suppose 463 = 5*y + 2*p, -y - a*p = p - j. Is y a prime number? False Let g = -40829 + 112530. Is g a composite number? True Let p(l) be the third derivative of l**5/30 + 37*l**4/24 - 13*l**3/2 + l**2 - 2*l. Is p(-22) a composite number? True Suppose 3*h + 4*j = 32119, -15*h + 17*h - 21426 = 4*j. Is h a prime number? True Let s = -96 + 95. Is 1070 + (8/s - -5) a composite number? True Suppose 0 = 7*z - 10*z + 21. Suppose 3*j = z + 8330. Is j a prime number? False Let s(g) = -118*g - 131. Is s(-10) a prime number? True Let r be (-126)/(-36)*2*-1. Let g(d) = -d**2 - 8*d - 3. Let s be g(r). Is s/((-8)/(-102)) - -2 a prime number? True Let l be 0*3/(-9) + -7. Let k = l - -13. Suppose -k*s = -s - 1285. Is s prime? True Let o(f) be the first derivative of 550*f**2 - f - 18. Is o(1) a composite number? True Let k = -31012 + 63645. Is k prime? True Suppose 0 = 21*f - 25*f + 12572. Is f a prime number? False Let m be 106/8 - (-24)/32. Let q(h) = -h**2 + 14*h + 14. Let k be q(m). Is (k/(-4))/((-2)/68) a prime number? False Let r(a) be the first derivative of -57*a**2/2 - 46*a - 22. Is r(-7) composite? False Let g(c) = 2*c**3 - 11*c**2 + 6*c + 11. Let l be 2/((-24)/(-87)) - (-9)/12. Is g(l) prime? True Let m(p) = p**3 + 31*p**2 + 40*p + 71. Is m(-26) composite? False Is (6 + 4/((-4)/5))*1477 prime? False Let q be (-4 + (-30)/4)*-2. Let u = -19 + q. Suppose 3*p - u*x = 841, -4*p - 2*x - 3*x = -1173. Is p composite? True Is 18656/6 - 100/300 a prime number? True Is (-1270)/(-6) - 12/18 a composite number? False Let h(s) = s**2 - 3*s - 11. Let m be h(9). Suppose 4*z = -4, 0 = 3*b + z - m + 971. Let i = b - -520. Is i a prime number? True Let p(u) = -4*u**3 + 11*u**2 - 26. Let v(q) = -9*q**3 + 22*q**2 + q - 52. Let j(n) = -5*p(n) + 2*v(n). Is j(11) a composite number? True Suppose 0 = 11*t + 27 + 105. Let p(l) = -l**3 + 0*l**3 + 3 - 11*l**2 + 12*l + 7. Is p(t) a composite number? True Let g be (-18)/(-24)*(-16)/(-4). Suppose -n - 2284 = g*h - 4*h, 5*n - 15 = 0. Is h composite? False Is -2 + (10 + (-30)/5 - -17145) composite? True Let u = 2 - 12. Let z = 16 + u. Suppose z*b + 97 - 373 = 0. Is b a prime number? False Suppose -4*l + 22 + 0 = 3*y, -26 = -3*y - 5*l. Suppose -y*v + 1090 = -298. Is v composite? True Let g(k) = -9*k - 2. Let i be (-24)/(-18) - 2/(-3). Suppose 4*o = -5*h - 5, 5*h = 3*o + i*o - 50. Is g(h) a composite number? False Let j be 49/10 - 3/(-30). Suppose -2 = -q, -j*n + 4845 = q - 3952. Is n composite? False Suppose -20*g + 26*g = 42468. Is g prime? False Let l(s) = 7150*s**3 + 3*s**2 - 5*s + 3. Is l(1) a prime number? True Let v be 0/1 - 4*6/(-12). Is v + (-4)/(-10) + (-39)/(-65) prime? True Let c(d) = 8*d**2 + 9*d + 11. Let v(f) = f**2 + f + 1. Let l(z) = c(z) - 3*v(z). Suppose 22 + 11 = -4*a - g, -5 = g. Is l(a) composite? False Let g(d) = 7*d**3 - 10*d**2 + 7*d - 25. Is g(14) prime? True Let n(q) = -188*q**3 + 4*q**2 + q. Is n(-1) a prime number? True Suppose -x = -w - 2*x + 6852, -w = -5*x - 6882. Is w a composite number? False Let y(u) = 7*u - 7. Let l be y(-5). Let f = 143 - l. Is f a composite number? True Suppose -32 = -6*p + 5*p. Suppose -27*k + p*k = 6595. Is k a prime number? True Let o = 37 + -27. Let r be 0 + 3 + o/1. Suppose 2*z = 105 + r. Is z composite? False Let g(m) = 37*m - 10. Suppose -26 = -5*q + 3*q. Let k be g(q). Suppose 2*w = k + 539. Is w composite? True Let v(o) be the first derivative of 4*o**3 + 3*o**2 + o - 5. Is v(-8) a prime number? False Is ((16869/12)/(-1))/((-2)/8) a prime number? True Suppose 3*y + 3*r - 157890 = 0, -8 + 20 = 4*r. Is y a composite number? False Let z be 32/2*(1 - 26/4). Let w = z + 145. Is w prime? False Is 16563/4 - 7/(-28) a composite number? True Let g(j) = 98*j - 5. Let n(d) = 393*d - 19. Let c(x) = -9*g(x) + 2*n(x). Let r(y) = 3*y + 6. Let l be r(-4). Is c(l) prime? False Let z(y) = -2299*y - 2. Let k be z(-1). Let b = k - 1312. Is b a prime number? False Suppose 0 = 2*x - 6*q + 4*q - 69334, x + 4*q - 34667 = 0. Is x a composite number? False Suppose 0 = 4*r + 4*p + p - 2356, 3*p + 12 = 0. Let d(h) = h + 1. Let w be d(1). Suppose -3*u + r = -3*i - 0*i, 0 = -w*u + 4*i + 394. Is u a prime number? True Suppose 3*x - 4*x = 17. Let a = 274 + x. Is a composite? False Suppose 35 = -8*q + 13*q. Suppose -350 = -21*l + q*l. Is l prime? False Let c(b) = 3*b**2 - 2*b - b**2 - 15 - 9*b**2. Let w(y) = -7*y**2 - 2*y - 14. Let q(g) = 5*c(g) - 6*w(g). Is q(-6) composite? True Let n = 18744 - 10433. Is n a prime number? True Let c(i) = -2*i + 16. Let g be c(10). Let a be 2 + 16/g + 6. Suppose 0*w + 3*p - 1639 = -a*w, 2*w - 2*p = 816. Is w composite? False Let k be (3 - 17)/(-2) - -3. Let u = 14 - k. Suppose u*j = -j + 35. Is j composite? False Suppose 2*a + 232175 = 5*b, 12*b - 16*b = -2*a - 185742. Is b a composite number? True Suppose 0*k = 2*k - 148. Let a = 187 - k. Is a composite? False Let o = 313 - -426. Let i = -358 + o. Is i a prime number? False Let v(i) = 151*i**2 - 133*i + 1. Is v(7) a prime number? True Let p be -4 - (-2 + (-1 - 15)). Suppose p + 65 = c. Is c a composite number? False Suppose 4*r - 4*q + 6632 = 8*r, -5*r = q - 8302. Is r a prime number? False Suppose -3*w = 3*v - 9996, -18*v = -21*v - 5*w + 9986. Is v prime? False Suppose -3*h = -4 + 1, 4*h = 2*n - 5104. Is n a prime number? False Suppose 3*j = g, -5*g = j - g. Suppose -3*a + 22 = x + x, j = -3*x + 5*a - 5. Suppose 0*h + 5*h = 4*m - 2212, -x*m = h - 2765. Is m a composite number? True Suppose 0 = o + 2*r - 8993, 73*r - 72*r = -o + 8995. Is o prime? False Suppose 3*q = -0*q. Suppose 2*d - 2015 - 1547 = q. Is d a prime number? False Suppose 62929 = 2*c + 3*y, -5*c + 53894 + 103454 = -y. Is c prime? True Is ((-1998)/(-72))/((-6)/(-8)) prime? True Let k = 14 + -12. Is ((-222)/6)/(k/(-76)*2) a composite number? True Let g be 1/4 - (30/24 - 0). Is g/(2/(-2722))*5 composite? True Let u = 186 + 2555. Is u composite? False Let k = 6 - -38. Let c = k - 104. Let d = c + 139. Is d a composite number? False Let w(u) = -3*u + 3. Let c be w(1). Suppose c = -2*f + t + 2761, -6*f = -f - 5*t - 6910. Is f composite? True Let p be (1 - 1)*(-6)/18. Suppose p = -3*j - 5*r - 10 + 1517, r + 2549 = 5*j. Is j composite? False Let v(q) = 2*q**2 - 12*q. Let g be v(6). Suppose g = -5*w + 1186 + 1599. Is w prime? True Suppose 4*t - 2297 = 1299. Is t prime? False Let b(c) = -c**3 - 8*c**2 - 13*c - 2. Suppose 2*l + 0 = -3*q - 6, 4*l + 34 = 5*q. Let j be b(l). Let u(h) = 198*h - 5. Is u(j) prime? True Let s = 30 + -28. Suppose 5*u = 4*o + 6805, -u + 6805 = 4*u + s*o. Is u composite? False Let r(a) = -a**2 - 9*a - 16. Let k be r(-7). Let y = 7 + k. Suppose -y*h - 637 = -5*n +
{ "pile_set_name": "DM Mathematics" }
5. -6607 What is the third derivative of 20*m**3*u**3*y**2 + 2*m**3*u*y**3 + 202*m**2*u**3*y**3 - 3495*m**2*u**2*y**3 - 2*m*u**2*y**3 wrt u? 120*m**3*y**2 + 1212*m**2*y**3 Find the second derivative of -3105*p**3*w**2 + 11*p**3*w - 208*w wrt w. -6210*p**3 What is the first derivative of -11*c*v**2 - 54*c - 2*v**2 + 391 wrt c? -11*v**2 - 54 Find the first derivative of -2*i*t**2*u + 159*i*t**2 - 3*i*t*u + 19*t**2*u + 33*t*u wrt i. -2*t**2*u + 159*t**2 - 3*t*u Find the second derivative of -931*a**3*n**2 + a**2 - 393*a*n**2 + 3*n**2 wrt a. -5586*a*n**2 + 2 Find the first derivative of -25*l - 254 wrt l. -25 What is the third derivative of -1053*g**3 - 4961*g**2 wrt g? -6318 Find the second derivative of -a**4*r + a**4 - 3*a**3*r + 23*a - r wrt a. -12*a**2*r + 12*a**2 - 18*a*r What is the first derivative of 22*n**2*x - 125*n**2 - 63*n*x**3 + 2*n + x**3 - 1 wrt x? 22*n**2 - 189*n*x**2 + 3*x**2 What is the first derivative of -q**3 - 3*q**2 - 39 wrt q? -3*q**2 - 6*q What is the third derivative of p**2*t**3*w**2 - 34*p**2*t**3 - 15*p**2*t + p*t**2*w + 8*t**3 - 6*w**2 wrt t? 6*p**2*w**2 - 204*p**2 + 48 Find the first derivative of 2*o**3 + o**2*z**2 + 6*o*z - 18*o - 738*z**2 - 10*z wrt o. 6*o**2 + 2*o*z**2 + 6*z - 18 What is the third derivative of 10*o**5 - 3*o**3 + 24*o**2 wrt o? 600*o**2 - 18 Find the first derivative of 111*m**2*q**3 + 2*m**2*q**2 - 274*q**3 + q**2 wrt m. 222*m*q**3 + 4*m*q**2 What is the derivative of 3*p**2*v + 4*p**2*x + p*v*x + 7*v*x + 6*v wrt x? 4*p**2 + p*v + 7*v Find the second derivative of -2*i**3*o**2*x + i**3*o**2 + i**3*o + 5*i**3*x + 20*i**2*o - 4389*i*o**2*x - i*x wrt o. -4*i**3*x + 2*i**3 - 8778*i*x Differentiate -11043*d**2*i**4 - 10*d**2 + 139 with respect to i. -44172*d**2*i**3 What is the third derivative of 21107*g**3 - 9*g**2 + 154 wrt g? 126642 What is the first derivative of 87*f*y**2 - 5133*f - 2*y**4 wrt y? 174*f*y - 8*y**3 What is the first derivative of 6*k**2*q - 2513*k**2*v - 37*q*v wrt q? 6*k**2 - 37*v Find the second derivative of -9*c**2*h**3 - 6*c**2*h - 46*c + 2*h**3 + 2 wrt c. -18*h**3 - 12*h What is the third derivative of -62*d*w*z**4 - d*w*z**3 - 4*d*w - 5*d*z**4 + 2*d*z**2 + 8*w*z**2 + 5 wrt z? -1488*d*w*z - 6*d*w - 120*d*z What is the second derivative of -22510*k**2 + 18738*k wrt k? -45020 Find the first derivative of 935*c**3 + 600 wrt c. 2805*c**2 What is the third derivative of -3136*z**6 + 2*z**3 - 12*z**2 + 2*z + 13? -376320*z**3 + 12 What is the derivative of -322*n**2 + 2*n - 806 wrt n? -644*n + 2 Find the second derivative of -72*q**5 - 5*q**3 - 1390*q. -1440*q**3 - 30*q Differentiate m**3*y + m**3 + 4*m**2*y**2 + 10*y**2 + 8 with respect to m. 3*m**2*y + 3*m**2 + 8*m*y**2 Find the third derivative of -499*u**3 - 2105*u**2 wrt u. -2994 What is the second derivative of -15*j**2*m*y + 6*j**2*y + 30*j*m - y wrt j? -30*m*y + 12*y Find the third derivative of 394*n**3 + 536*n**2. 2364 Find the third derivative of 74*w**4 - 18*w**3 - 3*w**2 + 2*w - 1463 wrt w. 1776*w - 108 Differentiate 2889*f*q*y + 11*f*y + 2*y with respect to q. 2889*f*y What is the third derivative of -600*o**4 - 689*o**2 wrt o? -14400*o What is the second derivative of -2*c**5*x - 3*c**3*x + 220*c**3 + 136*c*x - c - 3*x wrt c? -40*c**3*x - 18*c*x + 1320*c Find the third derivative of 134*a**6*i + 35*a**4 + a**3*i + 3*a**2*i - 8*a - 341*i wrt a. 16080*a**3*i + 840*a + 6*i Find the second derivative of -5*i**2*t**2 - 4*i**2*t - 27*i*t**3 - 188*i*t - 13*t**2 - 1 wrt t. -10*i**2 - 162*i*t - 26 Find the second derivative of -70*h**4 - 2*h**2 + 9*h - 17. -840*h**2 - 4 What is the first derivative of 6*z**3 - 235*z**2 + 1694? 18*z**2 - 470*z Find the third derivative of -120*f**3*z**2 + 2*f**2*z**2 + f*z + 23*z**2 wrt f. -720*z**2 What is the first derivative of 1592*i - 303? 1592 Find the first derivative of 61*b*n**3 + 2*b - 139*n**3 wrt b. 61*n**3 + 2 Differentiate -7*h**2*k*x - 6*h**2*x - 2*h**2 + h*k*x - 3*k*x - 2*x wrt k. -7*h**2*x + h*x - 3*x What is the third derivative of 21*i**3*p**2*t + 8*i**3*p**2 + i**2*t + i**2 - i*p**2*t - 73*i*p*t wrt i? 126*p**2*t + 48*p**2 What is the second derivative of -94*n**5 + 712*n + 2? -1880*n**3 Find the third derivative of 319*c**2*w**5 + 2*c**2 + 11*c*w**2 - 1 wrt w. 19140*c**2*w**2 Differentiate -14*d**2*g + 2*d**2 - 4*d*g + 22*d - 7961*g + 1 wrt d. -28*d*g + 4*d - 4*g + 22 What is the first derivative of b**3*r**3 - 440*b**3*r**2*y - 2*b*r**3*y - 2*b*r**3 wrt y? -440*b**3*r**2 - 2*b*r**3 What is the second derivative of p**2*u + 35*p**2*z**2 + 3*p**2 + 2*p*u**2 + 5*p*z**3 + u**2*z**2 - 34*u**2*z wrt z? 70*p**2 + 30*p*z + 2*u**2 What is the third derivative of 904*k**2*l**4 - 184*k**2*l**2 - 2*k**2*l - l**4 wrt l? 21696*k**2*l - 24*l Find the third derivative of -186*a**3 - 345*a**2 wrt a. -1116 What is the third derivative of 1078*k**6 - 830*k**2 wrt k? 129360*k**3 Find the second derivative of -5*d**2*q**4 - 8*d**2*q - 13*q**4 + 18*q wrt q. -60*d**2*q**2 - 156*q**2 Find the third derivative of 10784*g**3 - 2*g**2 + 2*g + 607 wrt g. 64704 What is the third derivative of 2*a*f**4*s - 9*a*f**4 + 7*a*f**3*s + 2*a*f - 149*a*s - f**2*s wrt f? 48*a*f*s - 216*a*f + 42*a*s What is the first derivative of 182*h*p + 192*h*y - 2*p*y + 2*y wrt p? 182*h - 2*y Find the third derivative of 34*v**6 + 48*v**4 + 2*v**3 + 10*v**2 + 8*v + 22 wrt v. 4080*v**3 + 1152*v + 12 Differentiate 6*j*n + 82*j*q + 195*n*q + q - 5 wrt j. 6*n + 82*q Differentiate -57*c**2 + c*v + 2*c - 37*v + 1 wrt c. -114*c + v + 2 Find the second derivative of -5376*m**3 + 5714*m - 2. -32256*m Differentiate -7*i**4 - 129*i + 809 with respect to i. -28*i**3 - 129 What is the derivative of 3543*h**3 + 1464 wrt h? 10629*h**2 Find the first derivative of -762*f - 425. -762 What is the third derivative of 763*a**5 + 370*a**2 + 1? 45780*a**2 Find the second derivative of 7*d*n**4*o**3 + d*n*o - d*o**2 - 9*n**4*o**3 - 62*n + 2*o**3 wrt n. 84*d*n**2*o**3 - 108*n**2*o**3 What is the second derivative of -3*h**4 - 12*h**3 + 414*h wrt h? -36*h**2 - 72*h Find the second derivative of 4*m*o*p**2 + 2*m*p**2 - 1129*m*p + 2*m + 269*o*p**2 - 7*o*p wrt p. 8*m*o + 4*m + 538*o What is the second derivative of 24*h**3*s**2*y**3 + 3*h**3*s**2*y + 2*h**3*y**3 - 9*h**2*y**3 - h*s*y**3 - h*y**3 wrt s? 48*h**3*y**3 + 6*h**3*y What is the second derivative of 42*s**3 + 20*s**2 - 34*s - 65? 252*s + 40 What is the derivative of -3*h**2 + 4*h - 1867? -6*h + 4 Differentiate -2*m**4 + 21*m**3 + 5*m + 766 with respect to m. -8*m**3 + 63*m**2 + 5 Find the third derivative of -182*d**6 - 632*d**2 wrt d. -21840*d**3 Find the third derivative of -1466*j**4 + 17506*j**2. -35184*j Find the first derivative of -2*m**4 - 4*m**3 + 170*m**2 + 1134. -8*m**3 - 12*m**2 + 340*m What is the third derivative of -2*d*k**2*m**3 - 11*d*k**2*m**2 - 7*d*k**2*m + d*k*m**2 - 15*d*m**3 - 2*k**2*m**3 wrt m? -12*d*k**2 - 90*d - 12*k**2 What is the first derivative of -398*x**3 - 808 wrt x? -1194*x**2 Find the third derivative of 2490*g**3*q - 697*g**2*q - 8*g**2 - g - 2*q wrt g. 14940*q Differentiate -2059*h**2 + 2*h + 9932 wrt h. -4118*h + 2 Differentiate 886*q**4 + 191 with respect to q. 3544*q**3 Find the first derivative of -252*r + 75 wrt r. -252 Find the first derivative of d**3*l + 1922*d**3 + 263*d*l**4 - l**2 wrt l. d**3 + 1052*d*l**3 - 2*l What is the second derivative of f**3*t*v - 1733*f**3*v**2 + f**3*v + f*t*v**2 - 2*f*t*v - 29*f*t + 2*t wrt v? -3466*f**3 + 2*f*t Differentiate 200*n*x**2 + 2*x**2 + 121 wrt n. 200*x**2 Find the second derivative of -13*u**5 - 57*u**4 - 2*u**3 + 1633*u + 1 wrt u. -260*u**3 - 684*u**2 - 12*u Differentiate 2*h**4*z + h**4 - 252*h**3*z - 23*z - 5 with respect to h. 8*h**3*z + 4*h**3 - 756*h**2*z What is the second derivative of -63*n**4 + 2*n**3 - 83*n? -756*n**2 + 12*n Find the third derivative of -3*c*o*q**3 - 371*c*o*q**2 + 16*o*q**3 + o*q**2 + 2*o + q**3 wrt q. -18*c*o + 96*o + 6 What is the first derivative of -b**2*k - 603*b**2 + 2674*b*k - 4*b - 1 wrt k? -b**2 + 2674*b Find the second derivative of -564*k**2 - 5*k + 65. -1128 Differentiate g**3*h**2 - 34*g*h**2 - 170*h**2 wrt g. 3*g**2*h**2 - 34*h**2 Find the second derivative of 5*i**3*o**3 + i**3*o + i**3 - 90*o**5 + 249*o wrt o. 30*i**3*o - 1800*o**3 What is the third deriv
{ "pile_set_name": "DM Mathematics" }
643409, 804261? 160852*h + 1 What is the f'th term of -7904, -15696, -23488, -31280? -7792*f - 112 What is the r'th term of -819, -1911, -3169, -4677, -6519, -8779, -11541, -14889? -14*r**3 + r**2 - 997*r + 191 What is the s'th term of -40867325, -40867324, -40867323, -40867322, -40867321, -40867320? s - 40867326 What is the t'th term of 783748, 1567501, 2351254? 783753*t - 5 What is the m'th term of 6567, 8034, 10483, 13920, 18351, 23782, 30219? m**3 + 485*m**2 + 5*m + 6076 What is the q'th term of 4932792, 9865593, 14798394, 19731195, 24663996, 29596797? 4932801*q - 9 What is the y'th term of -24055490, -24055493, -24055496, -24055499? -3*y - 24055487 What is the q'th term of 8998, 9291, 9584? 293*q + 8705 What is the x'th term of 1965195, 3930335, 5895417, 7860447, 9825431, 11790375? x**3 - 35*x**2 + 1965238*x - 9 What is the l'th term of 3042215, 3042205, 3042195, 3042185? -10*l + 3042225 What is the i'th term of 27045, 53304, 79563, 105822, 132081? 26259*i + 786 What is the m'th term of -493737, -987480, -1481221, -1974960, -2468697, -2962432, -3456165? m**2 - 493746*m + 8 What is the t'th term of -51023, -102330, -153649, -204980, -256323, -307678, -359045? -6*t**2 - 51289*t + 272 What is the f'th term of -172, 6, 2128, 7166, 16092, 29878, 49496, 75918? 162*f**3 - 956*f + 622 What is the p'th term of -16083, -34778, -53471, -72162? p**2 - 18698*p + 2614 What is the k'th term of 2504, 18848, 63242, 149720, 292316, 505064, 801998? 2339*k**3 - 9*k**2 - 2*k + 176 What is the m'th term of 887578, 887696, 887814? 118*m + 887460 What is the x'th term of 3809, 10183, 16557, 22931, 29305, 35679? 6374*x - 2565 What is the l'th term of 5860, 11348, 16836? 5488*l + 372 What is the s'th term of 153159, 306376, 459593, 612810? 153217*s - 58 What is the j'th term of -3940, -6586, -13776, -27784, -50884? -379*j**3 + 2*j**2 + j - 3564 What is the m'th term of 1701, 1892, 2097, 2322, 2573? m**3 + m**2 + 181*m + 1518 What is the t'th term of -1823, -5469, -11561, -20105, -31107, -44573, -60509? -t**3 - 1217*t**2 + 12*t - 617 What is the m'th term of -99172, -99033, -98882, -98713, -98520? m**3 + 132*m - 99305 What is the q'th term of -990834, -990856, -990888, -990930? -5*q**2 - 7*q - 990822 What is the p'th term of -6578741, -13157472, -19736193, -26314904? 5*p**2 - 6578746*p What is the k'th term of -257101427, -1028405695, -2313912809, -4113622769, -6427535575? -257101423*k**2 + k - 5 What is the z'th term of 147487708, 294975416, 442463124? 147487708*z What is the l'th term of 11620, 23237, 34842, 46441, 58040, 69645, 81262, 92897? l**3 - 12*l**2 + 11646*l - 15 What is the t'th term of -256214, -512423, -768632, -1024841? -256209*t - 5 What is the l'th term of 4668, 9225, 13782? 4557*l + 111 What is the i'th term of -87434, -165557, -243680, -321803, -399926? -78123*i - 9311 What is the t'th term of -22823623, -91294496, -205412619, -365177992, -570590615? -22823625*t**2 + 2*t What is the h'th term of -101104, -202209, -303314, -404419, -505524, -606629? -101105*h + 1 What is the d'th term of -14038310, -14038317, -14038328, -14038343, -14038362? -2*d**2 - d - 14038307 What is the r'th term of 1261048, 2522095, 3783142? 1261047*r + 1 What is the d'th term of 12194, 11869, 11544, 11219, 10894? -325*d + 12519 What is the q'th term of 305785, 305855, 305925, 305995, 306065, 306135? 70*q + 305715 What is the j'th term of 1111077, 1111362, 1111647, 1111932, 1112217, 1112502? 285*j + 1110792 What is the q'th term of 70671585, 141343107, 212014615, 282686103, 353357565, 424028995, 494700387, 565371735? -q**3 - q**2 + 70671532*q + 55 What is the v'th term of 48455064, 96910129, 145365194, 193820259, 242275324? 48455065*v - 1 What is the r'th term of -77802, -311233, -700232, -1244757, -1944766? 7*r**3 - 77826*r**2 - 2*r + 19 What is the g'th term of -12798, -52147, -117730, -209547, -327598? -13117*g**2 + 2*g + 317 What is the f'th term of 15538406, 31076810, 46615214, 62153618? 15538404*f + 2 What is the s'th term of -22171, -43275, -64379, -85483, -106587, -127691? -21104*s - 1067 What is the m'th term of -769, -5753, -19341, -45853, -89609, -154929, -246133? -720*m**3 + 18*m**2 + 2*m - 69 What is the c'th term of -798, -3314, -7514, -13368, -20846? 5*c**3 - 872*c**2 + 65*c + 4 What is the y'th term of -21450, -50028, -85732, -128562, -178518, -235600? -3563*y**2 - 17889*y + 2 What is the w'th term of -598, -4486, -14756, -34504, -66826? -516*w**3 - 95*w**2 + 9*w + 4 What is the n'th term of -220, -750, -1690, -3052, -4848, -7090, -9790? -2*n**3 - 193*n**2 + 63*n - 88 What is the j'th term of 30399300, 30399301, 30399302, 30399303, 30399304? j + 30399299 What is the o'th term of 298647, 1194573, 2687775, 4778247, 7465983, 10750977, 14633223? -o**3 + 298644*o**2 + o + 3 What is the b'th term of -17278, -18364, -19450, -20536, -21622? -1086*b - 16192 What is the j'th term of 9461197, 18922391, 28383595, 37844815, 47306057, 56767327? j**3 - j**2 + 9461190*j + 7 What is the u'th term of 124274, 248625, 372976, 497327? 124351*u - 77 What is the t'th term of 1105643, 1105655, 1105675, 1105703, 1105739? 4*t**2 + 1105639 What is the z'th term of -879, -1482, -1807, -1854, -1623, -1114, -327? 139*z**2 - 1020*z + 2 What is the g'th term of 795, 3420, 7793, 13914, 21783? 874*g**2 + 3*g - 82 What is the k'th term of -567422, -2269649, -5106682, -9078515, -14185142? k**3 - 567409*k**2 - 7*k - 7 What is the v'th term of -5768, -11693, -17930, -24635, -31964, -40073? -26*v**3 - 5743*v + 1 What is the u'th term of -5212, -5160, -5108, -5056? 52*u - 5264 What is the y'th term of 24023, 48329, 72645, 96977, 121331, 145713, 170129? y**3 - y**2 + 24302*y - 279 What is the m'th term of 24097102, 48194203, 72291304? 24097101*m + 1 What is the y'th term of -7427, -15093, -22989, -31121, -39495, -48117? -y**3 - 109*y**2 - 7332*y + 15 What is the f'th term of -86175, -86164, -86149, -86130, -86107? 2*f**2 + 5*f - 86182 What is the o'th term of 12018, 48087, 108206, 192381, 300618, 432923, 589302? o**3 + 12019*o**2 + 5*o - 7 What is the v'th term of -748, -2857, -6356, -11233, -17476, -25073, -34012? 2*v**3 - 707*v**2 - 2*v - 41 What is the a'th term of 1921386, 3842773, 5764160, 7685547? 1921387*a - 1 What is the v'th term of 254629, 254897, 255667, 257191, 259721, 263509, 268807, 275867? 42*v**3 - v**2 - 23*v + 254611 What is the a'th term of 2290, -1636, -5564, -9494, -13426? -a**2 - 3923*a + 6214 What is the g'th term of 2666051, 5332101, 7998151, 10664201, 13330251, 15996301? 2666050*g + 1 What is the m'th term of -266, -627, -1562, -3347, -6258? -46*m**3 - 11*m**2 - 6*m - 203 What is the w'th term of -34259, -34789, -35319, -35849, -36379? -530*w - 33729 What is the q'th term of -222, -172, -186, -348, -742, -1452? -14*q**3 + 52*q**2 - 8*q - 252 What is the x'th term of -66247, -66133, -66031, -65941? -6*x**2 + 132*x - 66373 What is the j'th term of -138333, -138197, -137947, -137577, -137081, -136453? j**3 + 51*j**2 - 24*j - 138361 What is the q'th term of 776, 230, -2586, -8806, -19564, -35994? -189*q**3 - q**2 + 780*q + 186 What is the y'th term of 22317398, 22317395, 22317392, 22317389, 22317386, 22317383? -3*y + 22317401 What is the m'th term of -254548, -509117, -763686, -1018255, -1272824, -1527393? -254569*m + 21 What is the d'th term of -1287, -831, 383, 2727, 6573, 12293, 20259? 62*d**3 + 7*d**2 + d - 1357 What is the r'th term of -174, -1600, -5272, -12252, -23602, -40384, -63660? -177*r**3 - 61*r**2 - 4*r + 68 What is the i'th term of 925, 887, 1001, 1411, 2261, 3695, 5857? 24*i**3 - 68*i**2 - 2*i + 971 What is the d'th term of -3995579, -3995570, -3995561, -3995552? 9*d - 3995588 What is the r'th term of -159129785, -159129789, -159129795, -159129803? -r**2 - r - 159129783 What is the f'th term of -184044, -184072, -184100? -28*f - 184016 What is the p'th term of 92702, 94083, 95464, 96845, 98226? 1381*p + 91321 What is the l'th term of 13482, 26442, 39402, 52362, 65322? 12960*l + 522 What is the o'th term of 878, 1762, 2726, 3770, 4894, 6098, 7382? 40*o**2 + 764*o + 74 What is the p'th term of -71188, -284733, -640642, -1138915, -1779552? -71182*p**2 + p - 7 What is the c'th term of 10538, 19442, 28346, 37250? 8904*c + 1634 What is the f'th term of 2287, 913
{ "pile_set_name": "DM Mathematics" }
hat is the g'th term of -371, -402, -433, -464, -495, -526? -31*g - 340 What is the l'th term of 435, 656, 1033, 1572, 2279, 3160, 4221? l**3 + 72*l**2 - 2*l + 364 What is the k'th term of 716, 2853, 6414, 11399? 712*k**2 + k + 3 What is the s'th term of -30, -36, -42? -6*s - 24 What is the m'th term of -4126, -4125, -4124? m - 4127 What is the a'th term of 230, 249, 268, 287, 306, 325? 19*a + 211 What is the t'th term of -411, -400, -389? 11*t - 422 What is the w'th term of -1145, -1147, -1151, -1157, -1165? -w**2 + w - 1145 What is the d'th term of -1485, -1497, -1517, -1545, -1581, -1625, -1677? -4*d**2 - 1481 What is the g'th term of 26, 26, 24, 20, 14, 6, -4? -g**2 + 3*g + 24 What is the y'th term of 308, 572, 826, 1064, 1280, 1468? -y**3 + y**2 + 268*y + 40 What is the w'th term of -61, -180, -289, -382, -453, -496? w**3 - w**2 - 123*w + 62 What is the c'th term of -247, -243, -237, -229? c**2 + c - 249 What is the i'th term of -19, -17, -15, -13, -11? 2*i - 21 What is the c'th term of -1760, -3522, -5290, -7064, -8844? -3*c**2 - 1753*c - 4 What is the a'th term of -70, -65, -58, -49, -38? a**2 + 2*a - 73 What is the m'th term of -98, -396, -894, -1592, -2490, -3588? -100*m**2 + 2*m What is the b'th term of 40, 49, 64, 85? 3*b**2 + 37 What is the k'th term of -65, -63, -61? 2*k - 67 What is the t'th term of -114, -108, -102? 6*t - 120 What is the b'th term of 1302, 1300, 1298, 1296, 1294? -2*b + 1304 What is the z'th term of -116, -121, -138, -173, -232, -321? -z**3 + 2*z - 117 What is the d'th term of 100, 102, 106, 112, 120, 130, 142? d**2 - d + 100 What is the j'th term of -304, -277, -222, -133, -4, 171, 398, 683? j**3 + 8*j**2 - 4*j - 309 What is the b'th term of -23, -49, -79, -107, -127? b**3 - 8*b**2 - 9*b - 7 What is the n'th term of 2285, 2283, 2281, 2279, 2277? -2*n + 2287 What is the q'th term of -11, -29, -65, -125, -215, -341, -509, -725? -q**3 - 3*q**2 - 2*q - 5 What is the y'th term of 220, 340, 460, 580, 700, 820? 120*y + 100 What is the y'th term of 59, 116, 177, 242, 311? 2*y**2 + 51*y + 6 What is the p'th term of -138, -135, -132, -129, -126? 3*p - 141 What is the k'th term of 559, 1122, 1685? 563*k - 4 What is the o'th term of 1634, 3266, 4886, 6488, 8066, 9614, 11126, 12596? -o**3 + 1639*o - 4 What is the d'th term of 284, 561, 834, 1103, 1368, 1629, 1886? -2*d**2 + 283*d + 3 What is the n'th term of -21, -69, -141, -249, -405, -621, -909? -2*n**3 - 34*n + 15 What is the w'th term of -22, -60, -112, -178, -258, -352? -7*w**2 - 17*w + 2 What is the r'th term of 924, 3698, 8324, 14802, 23132? 926*r**2 - 4*r + 2 What is the f'th term of -29, -45, -59, -71? f**2 - 19*f - 11 What is the c'th term of -4532, -4531, -4528, -4523? c**2 - 2*c - 4531 What is the k'th term of -7621, -7622, -7623, -7624, -7625, -7626? -k - 7620 What is the s'th term of 16, 43, 78, 115, 148, 171, 178, 163? -s**3 + 10*s**2 + 4*s + 3 What is the g'th term of -79, -58, -47, -52, -79, -134, -223? -g**3 + g**2 + 25*g - 104 What is the g'th term of 6, 13, 20, 27, 34, 41? 7*g - 1 What is the l'th term of -4, 9, 36, 77, 132? 7*l**2 - 8*l - 3 What is the n'th term of 207, 186, 177, 186, 219, 282, 381, 522? n**3 - 28*n + 234 What is the a'th term of 427, 467, 507? 40*a + 387 What is the n'th term of -11, -31, -51, -71, -91? -20*n + 9 What is the s'th term of -231, -252, -273? -21*s - 210 What is the s'th term of 113, 231, 349, 467, 585? 118*s - 5 What is the z'th term of 273, 347, 431, 531, 653, 803? z**3 - z**2 + 70*z + 203 What is the s'th term of 949, 946, 933, 904, 853, 774, 661? -s**3 + s**2 + s + 948 What is the g'th term of -51, -54, -57, -60, -63? -3*g - 48 What is the i'th term of -44, -177, -400, -713, -1116? -45*i**2 + 2*i - 1 What is the m'th term of -22, -79, -186, -367, -646, -1047, -1594, -2311? -4*m**3 - m**2 - 26*m + 9 What is the i'th term of 5, 18, 37, 68, 117, 190, 293? i**3 - 3*i**2 + 15*i - 8 What is the n'th term of 467, 468, 469? n + 466 What is the t'th term of -156, -150, -142, -132, -120, -106, -90? t**2 + 3*t - 160 What is the q'th term of -53, -61, -69, -77, -85, -93? -8*q - 45 What is the c'th term of 21, 53, 117, 225, 389? 2*c**3 + 4*c**2 + 6*c + 9 What is the c'th term of -433, -870, -1307, -1744, -2181? -437*c + 4 What is the y'th term of -1297, -2596, -3897, -5200, -6505? -y**2 - 1296*y What is the t'th term of -397, -417, -437, -457? -20*t - 377 What is the d'th term of -3030, -3029, -3028, -3027? d - 3031 What is the k'th term of -69, -169, -269, -369, -469? -100*k + 31 What is the k'th term of 8, -25, -70, -133, -220, -337, -490, -685? -k**3 - 26*k + 35 What is the h'th term of 573, 1143, 1711, 2277? -h**2 + 573*h + 1 What is the o'th term of -1999, -2007, -2027, -2065, -2127? -o**3 - o - 1997 What is the x'th term of -177, -131, -85, -39? 46*x - 223 What is the x'th term of 21, 225, 803, 1941, 3825, 6641, 10575, 15813? 31*x**3 + x**2 - 16*x + 5 What is the i'th term of 92, 89, 98, 125, 176, 257, 374, 533? i**3 - 10*i + 101 What is the z'th term of -40, -94, -184, -310, -472? -18*z**2 - 22 What is the z'th term of 96, 102, 120, 156, 216, 306, 432, 600? z**3 - z + 96 What is the d'th term of 21, 34, 47, 60? 13*d + 8 What is the l'th term of -11, -29, -75, -161, -299, -501? -2*l**3 - 2*l**2 + 2*l - 9 What is the y'th term of -1162, -2331, -3500, -4669? -1169*y + 7 What is the f'th term of -7404, -7403, -7402? f - 7405 What is the b'th term of 63, 129, 199, 273, 351, 433, 519? 2*b**2 + 60*b + 1 What is the t'th term of 242, 247, 252, 257? 5*t + 237 What is the l'th term of 245, 492, 737, 980, 1221, 1460, 1697? -l**2 + 250*l - 4 What is the y'th term of 22, 54, 100, 166, 258, 382, 544, 750? y**3 + y**2 + 22*y - 2 What is the a'th term of 44, 40, 28, 2, -44? -a**3 + 2*a**2 - 3*a + 46 What is the d'th term of 52, 66, 76, 82? -2*d**2 + 20*d + 34 What is the f'th term of -8, -43, -102, -185? -12*f**2 + f + 3 What is the j'th term of 8, 6, 4, 2, 0? -2*j + 10 What is the z'th term of -265, -268, -275, -286, -301, -320? -2*z**2 + 3*z - 266 What is the k'th term of 369, 364, 349, 318, 265, 184, 69, -86? -k**3 + k**2 - k + 370 What is the c'th term of 841, 848, 859, 874, 893, 916? 2*c**2 + c + 838 What is the n'th term of -32, -20, -6, 10, 28, 48, 70? n**2 + 9*n - 42 What is the n'th term of 96, 384, 870, 1560, 2460, 3576, 4914, 6480? n**3 + 93*n**2 + 2*n What is the h'th term of -749, -2992, -6729, -11960? -747*h**2 - 2*h What is the d'th term of -459, -473, -487, -501, -515? -14*d - 445 What is the n'th term of -2216, -2210, -2214, -2234, -2276, -2346? -n**3 + n**2 + 10*n - 2226 What is the a'th term of 29, 30, 31, 32, 33, 34? a + 28 What is the g'th term of 17, 78, 193, 374, 633, 982, 1433, 1998? 2*g**3 + 15*g**2 + 2*g - 2 What is the h'th term of -49, -129, -211, -295, -381? -h**2 - 77*h + 29 What is the a'th term of 871, 1630, 2379, 3112, 3823, 4506? -a**3 + a**2 + 763*a + 108 What is the g'th term of -81, -184, -277, -354, -409? g**3 - g**2 - 107*g + 26 What is the y'th term of 216, 883, 1988, 3525, 5488, 7871, 10668, 13873? -y**3 + 225*y**2 - y - 7 What is the d'th term of 9, -25, -129, -339, -691, -1221, -1965, -2959? -6*d**3 + d**2 + 5*d + 9 What is the y'th term of -54, -110, -166, -222, -278? -56*y + 2 What is the l'th term of -9835, -9842, -9851, -9862, -9875, -9890? -l**2 - 4*l - 9830 What is the l'th term of -8, -50, -142, -308, -572, -958, -1490, -2192? -4*l**3 - l**2 - 11*l + 8 What is the v'th term of -16, -28, -40? -12*v - 4 What is the r'th term of 1652, 1643, 1612, 1547, 1436, 1267, 1028? -2*r**3 + r**2 + 2*r + 1651 What is the h'th term of -6725, -6724, -6723? h - 6726 What is the q'th term of -115, -141, -167? -26*q - 89 What is the i'th term of 61, 16, -29, -74, -119, -164? -45*i + 106 What is the b'th term of 179, 355, 529, 701, 871? -b**2 + 179*b + 1 What is the z'th term of -18, -30, -42, -54, -66? -12*z - 6 What is the x'th term of -314, -534, -752, -968, -1182? x**2 - 223*x - 92 What is the z'th term of 26, 107, 316, 713, 1358? 10*z**3 + 4*z**2 - z + 13 What is the j'th term of -46, -185, -416, -739, -1154? -46*j**2 - j + 1 What is the o'th term of 98, 92, 78, 50, 2, -72, -178, -322? -o**3 + 2*o**2 - 5*o + 102 What is the c'th term of -757, -1514, -2271? -757*c What is the r'th term of 387, 732, 1077
{ "pile_set_name": "DM Mathematics" }
be x - (1 - 6 - 1). Solve 30 = 5*t - 5*p, -g*p - 3 = -4*t - 6*p for t. 3 Suppose 5*q + 0 = -20. Let k be ((-2)/q)/((-1)/(-36)). Suppose 9 = 2*m + 5*n, -3 = 3*n - 6. Solve d - 3*l = -m, -l + k = 5*d - 2*l for d. 4 Let a = -1 - -3. Let h = 5 + -8. Let g be (6/(-9))/(h/9). Solve -3*i - 36 = 4*v + g*i, -a*v + i = 4 for v. -4 Suppose -m - 92 = 2*y - 4*m, y + 3*m + 55 = 0. Let p = y + 73. Let d = p - 1. Solve -d = 2*o - 5*s, -7 = o + 2*s - 3*s for o. -4 Let h(d) = d**3 + 6*d**2 - d - 5. Let f be (-104)/18 - (-2)/(-9). Let y be h(f). Suppose 5*z - z = 16. Solve -5*o - 4*b + 1 = 0, 4*b - y + 9 = z*o for o. 1 Suppose 14 = -l + 5*f, -3*l + 4*f + 0*f - 9 = 0. Suppose -2*c + l - 3 = 0. Let w be (c + 14/4)*2. Solve -5 = -4*d + 15, -30 = 5*n - w*d for n. -1 Let s(n) = n - 5. Let u be s(7). Solve -28 = -u*j + 4*f, 0 = 3*j - 0*f - f - 17 for j. 4 Let p = 84 - 80. Solve p*k - 3 + 15 = 0, -5*d + 5 = 5*k for d. 4 Let t(s) = -s**3 + 3*s**2 - 3*s + 3. Let b be t(2). Suppose 0 = -h - b + 4. Solve -4*v - h*f = -15, 2*v + f - 10 = -3*f for v. 3 Suppose -4*t = -3*j - 12, j + 3*j = -4*t - 16. Suppose 0*u + 3*u = t. Let d be (u + 0)/(-2 - -3). Solve -2*o + 7*o - 2*m - 1 = d, -4*o - m - 7 = 0 for o. -1 Let k(o) = 3*o + 36. Let j be k(-6). Solve 3 = -3*n - 3*f, 3*f - f = 2*n - j for n. 4 Let b(o) = o**2 - 10*o + 12. Let z be b(8). Let x be (z/(-12))/(1/6). Solve -x*r - 1 = 3*h - r, -18 = 2*h + 5*r for h. 1 Let l(h) = -h**3 + 10*h**2 + 15*h - 9. Let q be l(11). Let o be (20/50)/(1/q). Solve -3*p + 4*w - 9 = 6*w, -p - o = -3*w for p. -5 Suppose 5*f - 2 = 3. Let r be -29*(f - 3 - -1). Suppose 2*t + 3 = 13. Solve -5*m + 9 + t = -2*q, 3*q = -5*m + r for m. 4 Let r(t) = -t**3 - 3*t**2 + 2. Let y be r(-3). Suppose q = y*q. Solve q = 5*b - 6*k + k - 5, 4*k = -4*b + 20 for b. 3 Let t be 1/(-1)*(0 + -5). Suppose 0 = 12*q - 14*q + 6. Solve f + 0*f = -5*y + 1, -t*y = q*f + 7 for f. -4 Let r be (3 + 0)/((-3)/(-2)). Solve 2*f + r*m = 5*m - 11, -4*f = -3*m + 13 for f. -1 Suppose 0 = 5*y - 4*c + 40, -4*c - 18 = 2*y - 6*c. Let i = y - -6. Solve 4*p = -i*k + 18, -2*p = 3*p + 3*k - 22 for p. 5 Let r(n) = 4*n - 7. Let o(d) = -d. Let g(b) = 3*o(b) + r(b). Let a be g(10). Let k be (-1 - 0)/((-1)/6). Solve 2*s = a*l + 3, 2*s - 3 - k = 5*l for s. -3 Let t(z) = 2*z**2 + z + 2. Let d be t(-1). Solve d*k = 0, 0*w = -5*w - 5*k - 25 for w. -5 Let g(z) = -5*z - 5*z + 11 + 11*z. Let m be g(-8). Solve -4*d = m*i - 22, 3*d - 8 = 4 for i. 2 Suppose 5*s + 3 + 1 = x, 5*x - 20 = 4*s. Solve 4*c + x = 0, -4*z - c + 20 = -5*c for z. 4 Let v = -18 - -21. Solve 0*f + 5*f = 3*q + 19, -v*f + 13 = -q for f. 5 Let f be 6/5*(-10)/(-3). Suppose 3 = -d + 5. Let m be 9/d - 1/2. Solve -4 = -2*o + f*o - 2*x, 23 = o + m*x for o. 3 Let i(x) = -x**2 + 6*x - 5. Let b be i(4). Suppose 0 = 4*d + 12 - 56. Let u = 16 - d. Solve 3*k - 4*c = -b - 4, u*k = -5*c for k. -1 Suppose 0 = 3*i - 4*i + 3. Suppose i*o + 13 = 2*o + 4*q, 2*o - 4*q + 10 = 0. Solve 2*r + 13 = -o*j - 0*r, -4*j - 25 = -5*r for j. -5 Suppose -g = -7*g + 12. Suppose 4*w - 20 = 0, -g*i + 5*i - 4*w = -11. Solve m = -3*c - 10, c = -7 + i for m. 2 Let x = 96 - 84. Solve -2*a + 3*r + r - x = 0, -4*r + 8 = -3*a for a. 4 Let f = -10 + 5. Let g(s) be the third derivative of -s**6/120 - s**5/20 + 7*s**4/24 - s**2. Let c be g(f). Solve 2*b = 5*q - 9, 2*q + 5*b = 2*b + c for q. 3 Let h(u) = 2*u**3 - 9*u**2 - 4*u - 4. Let z be h(5). Solve 0 = -j + g + z, 2 = -j - 2*g - 3 for j. -1 Let t(y) = y**3 + 9*y**2 + 8*y + 3. Let i be t(-8). Suppose 0 = d - a + i, -3*a = -2*d - 2*a - 3. Solve 11 - 31 = 3*l + r, d = 5*l - 5*r for l. -5 Let x be (-1 - (4 + -1))/(-2). Let k = 41 - 22. Suppose 0*q - 4*r - 14 = -x*q, -5*q + 2*r = -k. Solve -i - i = z, -i = -q*z + 14 for z. 4 Suppose -2*n + 26 = a, -4*n - 3*a + 2*a + 52 = 0. Suppose 5*x = -2*d + 24, 2*d = -5*x + x + 22. Let r = d - 5. Solve r*g + 3*w - n = 5, -20 = -5*w for g. 3 Suppose 10 = 5*a, 3*q + 2*a + 2*a - 17 = 0. Suppose 6*m + 5*t - 15 = m, 4*t - 14 = -5*m. Solve 3*o + 14 = 5*j, 0 = m*o + 2*j - q + 7 for o. -3 Let y(r) = -2*r - 14. Suppose -2*k + 27 = -5*k. Let a be y(k). Solve f + 3 = -h + 1, -2*h + 5*f = a for h. -2 Suppose 2*x - 6*m = -m, -6 = -3*m. Suppose 0 = -x*i - 8 - 2. Let j be (-12)/(4/i) + -2. Solve -4*o - 13 = 3*q, o - j*q - 14 = q for o. -1 Let k be 3 + -6 - (0 + -5). Solve -2 = 2*y + 3*r + 1, -3*y - k*r = 7 for y. -3 Suppose 0*b - 24 = -5*k - 3*b, 4*b = 4*k. Suppose n - k*j + 1 = -0*n, -3*n = -5*j - 1. Suppose 4 = n*p - 14. Solve 5*l = 4*g - 24, g + 5*l + p = -10 for g. 1 Suppose 5*d - 4*h = 68, 9*h - 4*h = -5*d + 50. Suppose 2*b + 0 + 4 = 0. Let w be 9*-2*b/d. Solve -5*j - 2*q = 11, w*j + 2*q + 3 = -6 for j. -1 Suppose 0 = 3*q + 5*c - 76, 5*q - 3*c - 72 = -2. Solve 5*j = -4*v - q, -15 = 5*v + 6*j - j for v. 2 Let t(d) = d**3 - 3*d**2 - 4*d + 4. Let q be t(4). Suppose 2*g - 24 = -q*g. Solve -5*a = 4*s + 21, 0*s - s = -g*a for a. -1 Let v be -6*(-3)/(-6) - -26. Suppose 5*a = v - 3. Solve -a*f = n + f - 5, 0 = 3*n - 2*f + 19 for n. -5 Suppose 12*k = 17*k. Let m be 1/(-2) + 14/4. Solve k = 5*z + 5*s - 10, z - 5 - m = 5*s for z. 3 Let i(t) = t + 7. Let y be i(-8). Let l = y + 3. Solve -l*b = 3*o - 17, -5*b - 2 = 5*o - 37 for b. 4 Let g = -4 - -9. Let q be (-1 + g)*1/1. Solve q*u - u = 5*i - 19, -4*u + 3*i = 18 for u. -3 Let j be -5*6/(-3) - 1. Let t = j + -6. Solve -6 = -b - v, 0 + 14 = -t*b + 5*v for b. 2 Let c = -63 + 69. Solve -c*a + 3*k - 9 = -3*a, -4*a = 2*k for a. -1 Suppose 5*b = 2 + 8. Suppose 0*f = -2*f + 52. Let y = f - 18. Solve -y = -5*j - 4*n, b*n - 2 = 5*j + n for j. 0 Let b(a) = a**2 + 2. Let m be b(0). Solve 3*j = 4*p - 9*p + 8, -m*p + 4 = j for p. 4 Let z = 43 + -31. Solve -4*k - o + 2*o - 9 = 0, k - 5*o - z = 0 for k. -3 Let b = 1 - -2. Suppose 0*a = 2*w - 4*a + 6, -5*w + b*a = -13. Solve 3*j + w*t + 5 + 14 = 0, 2*t + 16 = 3*j for j. 2 Suppose m = -t, -t - 3 - 3 = 3*m. Solve -t*b = 4*p + 2 - 1, 0 = -5*p + 3*b + 19 for p. 2 Let j = -22 - -27. Solve 2*g - 5*g + 2*v - 6 = 0, -5*v + 15 = j*g for g. 0 Let u(w) = -w + 8. Let m be u(4). Solve 2*n - 23 = 3*r, 4*n = -5*r - 5 - m for n. 4 Suppose -2*u = 2*m - 14, 4*m - 26 = 3*u - 6*u. Suppose 2*n - 21 = -2*c - 3*n, 4*c = -2*n + 66. Solve 4*v - 4*l + l = c, -m*v + l + 17 = 0 for v. 3 Suppose 0 = -3*i + t + 11, 0*t = 2*i + 3*t. Let g = i + -2. Let k = -3 - -3. Solve 5*c = w + 6, 3*c + k = -4*w - g for c. 1 Suppose 12 = 2*j + 8. Solve 0 = s + 4*z + j + 2, -5*z = -s - 4 for s. -4 Let p be 585/(-81) + (-4)/(-18). Let w = 9 + p. Solve 5*k + 3*g - g = -5, -2*k + 5*g - w = 0 for k. -1 Suppose 3 - 1 = u. Solve m + 1 = 0, 6*j - u*m = 3*j - 13 for j. -5 Suppose 3*a + t = 13 - 3, -t = a. Solve -l + 2*l = 5*u + 20, -4*l - a*u = 20 for l. 0 Let r be (-5)/(20/(-12)) + -3. Solve n + 4*t + 1 + 3 = 0, -4*n - t - 1 = r for n. 0 Let z = -13 + 18. Solve -2*l + 10 = 2*y, -4*y - z*l + 5 + 20 = 0 for y. 0 Suppose -3 = -0*u - u. Solve 4*l + 3*i - 7 = -u, -2*l - 8 = 4*i for l. 4 Let z = -146 + 150. Solve -3*a - 9 = -5*i - 33, -2*a = z*i + 6 for a. 3 Let s = 29 - 29. Solve 0 = -3*c, -b + 4*b + 3*c = s for b. 0 Suppose -1 = -i + 3. Suppose 0*y = 2*a - 4*y - 26, 37 = i*a - 5*y. Solve 3*l + 3 = -3*x, -6*x = -a*l - 3*x - 3 for l. -1 Let j be 1*(-1)/(-1)*41. Let t = 20 - j. Let z be 61/7 - 6/t. Solve 2*b = 4*d - 22, 0 = b + 3*d - z for b. -3 Let z(p) = -10*p - 76. Let j be z(-8). Solve 0 = -3*k - 3*h, 9*h = 2*k + j*h - 21 for k. 3 Suppose 0 = -12*j + 8*j + 8. Let m(p) = 6*p - 2*p + 11*p - 1. Let k be m(1). Solve -5*o = 4*w - k, 7 - 1 = -j*w + 4*o for w. 1 Let a = 7 + -4. Solve 2*p + a*n = 9, -p - 5*n + 37 = 15 for p. -3 Let k be 0*-1*(-1)/(-2). Let v be 0 - ((-4)/2 + 2). Solve v = -2*s + 5*f + 11, k*f + 3 = -f for s. -2 Suppose 5*c + 2*p = 25, 5*c = -0*p - 5*p + 40. Solve 0*t - 1 = t - q, -5*t + 4*q - c = 0 for t. 1 Let h be (-2)/(-7) - (-76)/28. Let w be 20 + h*(-6)/9. Solve 4*q + 4 = 0, 2*d - 6*d + w = -2*q for d. 4 Let w be (-6 - -6)*((-3)/2 - -1). Suppose -5 = 5*k - 25. Solve c + k = -u, w = -c + 1 - 0 for u. -5 Let d(g) = -23*g**3 + g. Let i be d(-1). Suppose -4*k = b - 2*b - 13, -4*b = -k + i. Suppose 20 = 4*u - 0*u. Solve k*t + 5*a = -0*t - 6, -3*a = u*t + 15 for t. -3 Suppose 5*q = -w + 46, -22 = -3*q - 2*w - 0. Solve 0 = -2*r - 3*m - m - q, 2*m = r - 11 for r. 3 Let r(j) = j**3 - 2*j.
{ "pile_set_name": "DM Mathematics" }
0 Let g = -4/12923 - 167263/2377832. Find the common denominator of -97/20 and g. 920 Let d be (3/4)/(40/(-26290)). Let h = d + 975/2. Find the common denominator of (-1168)/48*3/14 and h. 112 Let t(s) = s**3 - 3*s**2 - 3*s + 4. What is the lowest common multiple of t(4) and 1? 8 Let x be (8 - 7) + (-3268)/3266. Let b = 164937/6532 + x. Calculate the common denominator of b and 53/7. 28 Let l(z) = 5*z + 1. Let t be l(-5). Let y = 1 - t. What is the least common multiple of 20 and ((-24)/10)/((-10)/y)? 60 Let i = -2980/7 - -399075/938. What is the common denominator of -9/7 and i? 938 Suppose 5*m + 216 = -3*k - 111, -15 = 5*m. Calculate the least common multiple of 5 and k/14*(-70)/20. 130 Let v be 4 + -2 - (-123)/(-1). Find the common denominator of (v/20)/(-1) + -2 and 6540/(-3960) - 6/(-18). 220 Let i = -5990 + 31034. Let p = i + -1202213/48. What is the common denominator of -109/24 and p? 48 Suppose 0 = -x - 5*j - 16, 5*x + 3*j + 1 = -35. What is the common denominator of 70/x - 1/1 and -3*4/84*(-371)/2? 6 Let m = 146/583 - -73727/52470. What is the common denominator of -9/80 and m? 720 Let o = -5/307 - -9325/7061. Calculate the common denominator of -44/9 and o. 207 Let s be (-13 - (-1 - -2))*(0 + -1). Suppose -3*v = -10 - s. What is the lowest common multiple of 10 and v? 40 Calculate the lowest common multiple of 20 and 552/8 - 1*4. 260 Let d = -10 + 16. Let k(h) = -5*h**2 - 22*h + 8. Calculate the lowest common multiple of d and k(-4). 48 Let a = -428/7 - -5423/84. Find the common denominator of a and 23/9. 36 Suppose 3*p - 2 = 4*r + 15, 0 = 5*p - 4*r - 23. Suppose 0 = -p*l + 20 + 19. Calculate the lowest common multiple of 3 and l. 39 Calculate the common denominator of 91/(-14) - (3 + -8) and 27/148. 148 Suppose 4*r = 1172 - 324. Find the common denominator of (11/726)/((-2)/r) and 69/10. 330 Let c = 29370671/315 + -93240. Find the common denominator of 5/9 and c. 315 What is the common denominator of -62/327 and 731/357 - 4/2? 2289 Suppose 3*v - 25 = -2*v + 3*r, v + 4*r + 18 = 0. Suppose 0*y - 2 = -v*y. Calculate the least common multiple of 6 and y. 6 Suppose s - 10 = 2. Let m = -16798 - -335869/20. Find the common denominator of m and ((-9)/s)/((-24)/(-146)). 80 Suppose 20*b - 35 = 5. Calculate the least common multiple of 71 and b. 142 Let d(m) = 1. Let x(r) = -3*r - 19. Let v(j) = 6*d(j) + x(j). Let n(a) = a**2 - 6*a - 4. Calculate the lowest common multiple of n(7) and v(-5). 6 Let b(n) = -2*n**3 - 25*n**2 + 23*n + 48. What is the smallest common multiple of b(-14) and 8? 1256 Suppose -8 = -5*f + 3*f. Let n(z) = -z**3 - 6*z**2 - 3*z + 2. Let i = -52 - -46. Calculate the least common multiple of n(i) and f. 20 Suppose 2*t + u + 56 = 6*t, 2*t = -4*u + 10. What is the least common multiple of 32 and -3 + 2 - t/(-1)? 96 Let n = -488 - -518. What is the lowest common multiple of 110 and n? 330 Let o = -3/14291329 - 507842338164/180313697993. Let i = -12345163/1147 - -10763. Let c = i + o. Calculate the common denominator of 91/8 and c. 88 Let c be 9064/9046*846300/(-16). Let o = c + 52999. Let k = o + 284933/36184. Calculate the common denominator of k and -44/17. 136 Let u(o) = o**2 - 2*o - 8. Let f be u(3). Let d(y) = -y**3 - y**2 + 11*y - 1. What is the least common multiple of d(f) and 16? 176 Let s be 100/36 - (-6)/27. Suppose 6*l = 5*n + s*l - 16, l = -n. Calculate the lowest common multiple of (-3 - -7)/(-4)*-1 and n. 2 Suppose -6 = -5*s + 14. Suppose 0*l - s*l - 31 = 5*b, 4*l - b + 13 = 0. Find the common denominator of 1/l - 334/72 and -6/7. 63 Let u = 3 - -3. Calculate the lowest common multiple of u and (-1408)/(-320) + (-5)/((-25)/(-2)). 12 Suppose o - 6 = -o. Let p(g) = -g**2 - 16*g + 9. Let w be p(-16). Let h = w - o. What is the lowest common multiple of h and 12? 12 Let i(a) = -a**3 - 6*a**2 - 5. Let w be i(-6). Let c be w - -2 - 14/(-2). Suppose -c*r = r - 35. Calculate the lowest common multiple of r and 7. 7 Let g(c) = 2333*c**2 + c + 1. Let q be g(2). Suppose -5*i - q = -10*i. Let l = i - 18649/10. Find the common denominator of l and 5/2. 10 Let y(s) = -s + 1. Let m(r) = 2*r - 2. Let o(x) = 2*m(x) + 5*y(x). Let p be o(11). Let z = p + 26. What is the smallest common multiple of z and 20? 80 Suppose -240 = 3*v - 7*v. Suppose -2*r - 2 = -4, -4*c = 4*r + v. Calculate the common denominator of -25/21 and c. 21 Let o = -3843/88 + 369/8. Calculate the common denominator of 77/10 and o. 110 Find the common denominator of 149/30 and (-24)/84 + 523/140. 60 Suppose -8*v + 42 = -v. Let d = v + 62. What is the least common multiple of d and 8? 136 Let u(k) = k. Let a(d) = 32*d - 14. Let t(w) = a(w) - 6*u(w). Calculate the smallest common multiple of 8 and t(3). 64 Let a = 14739 - 722171/49. Calculate the common denominator of a and 3/5. 245 Suppose 3*q + 3 = -3, 0 = 4*b - 3*q - 2. What is the least common multiple of (11/(-2))/((-4)/16) and ((-2)/(-4) - b)*12? 198 What is the common denominator of -53/288 and (-1)/9*(-273)/(-108)? 2592 Suppose -s - 4*n = -10 + 24, 12 = -2*s - 4*n. Calculate the smallest common multiple of s and 53. 106 What is the least common multiple of ((-9)/(1*-3))/(-24 - -25) and 37? 111 Let f = 39305093/290 - 135535. Find the common denominator of f and -9/10. 290 Let w be ((-4)/(-10930))/((-1)/(-15)). Let r = -299/339887 + -36768688093/1485985964. Let g = w - r. Calculate the common denominator of -1/6 and g. 12 Suppose -x - 4*x = u - 28, 76 = 4*u + 2*x. What is the smallest common multiple of u and 30? 90 Let p = -46 - -47. Let s(f) be the third derivative of f**4/4 + f**3/3 + 5*f**2. What is the least common multiple of s(p) and 22? 88 Suppose 4*y - 5*l = 130, 6*l = -5*y + 3*l + 144. Suppose -y = 2*x - 52. What is the smallest common multiple of x and 7? 77 Let l = -652259153/32 + 20374732. Let v = 8368 + l. Calculate the common denominator of -143/18 and v. 288 Suppose -351 = -23*h - 75. Calculate the least common multiple of h and 8. 24 Find the common denominator of (-2751)/(-378)*2/(-2) and 81/146. 1314 Let b = 10 + 1. Let t be 7/3 + (-2)/(-3). Suppose -t*i + 5*r + 42 = 0, -6*i = -i - 5*r - 60. What is the smallest common multiple of b and i? 99 Calculate the lowest common multiple of 34 and (-5)/(-100)*362 - 1/10. 306 Let z = -215628432 + 3451489441/16. Let c = z + -89556. Let y = -97 + c. Calculate the common denominator of -9/16 and y. 16 Calculate the lowest common multiple of (-8 - 4)/(3/(-9)) and 84. 252 What is the common denominator of -10*(-2)/4*1598/1175 and -103/30? 30 Let j(u) = -u**2 + 2*u**2 - 1 + 2*u - 10*u. Suppose 2*h = 5*z, 0 = -5*h - 2*z + 7 + 51. What is the smallest common multiple of h and j(9)? 40 Let p = 668 - 656. What is the smallest common multiple of 576 and p? 576 Suppose n = 3*m + 78, 19 = -m - 3*n + n. Find the common denominator of (-626)/(-140) + (3 - (-85)/m) and 43/8. 56 Let s = 151 + -141. Calculate the lowest common multiple of 500 and s. 500 Let p(z) = -z**2 - 5*z + 14. Let w be p(-6). Suppose -3*t = -5*g + 10, w*t = 3*t. What is the lowest common multiple of g and 9? 18 Suppose -23*g + 29*g - 60 = 0. Suppose 7 = r + 2. What is the lowest common multiple of (r/2)/((-4)/(-16)) and g? 10 Let q(y) = 20*y**2 + y + 15. What is the least common multiple of q(-3) and 60? 960 Let p = 1537897/2 - 69321941/90. Let l = -1295 - p. What is the common denominator of l and 71/3? 45 Suppose -4*y + m + 65 = 0, 2*y = 3*y + 5*m - 11. Let x(t) = t**3 + t**2 - 4*t + 5. Let k be x(-3). What is the smallest common multiple of (14/6 + k)*15 and y? 80 Let t = 0 + 7. Suppose -t*n + 3*n + 160 = 0. Suppose -4*b - 4*m + n = 0, -54 = -2*b - 3*b - 4*m. What is the least common multiple of b and 10? 70 Let j(t) = -t**3 - t**2 + 8. Suppose 3*m = 3*c - 63, 0*m + 2*m + 5*c = -14. Let g = -6 - m. Calculate the lowest common multiple of j(0) and g. 88 What is the common denominator of 49/4 and 3536/26880 - (-2)/(-10)? 336 Let f = 418344/4355 + 1062/335. Let c = 6421/52 - f. What is the common denominator of (4 - 19)*5/(-10) and c? 4 Let f be (2/(-8)*-6)/((-415866)/22). Let m = -179576/31505 + f. Find the common denominator of m and 151/6. 30 Calculate the smallest common multiple of (-493)/(-85) - (-8)/(-10) and 44. 220 Suppose 14*h + 180 = 24*h. Calculate the lowest common multiple of h
{ "pile_set_name": "DM Mathematics" }
8*a**3 Differentiate 15*q + 12 + 49*q**2 + 2*q - 17*q with respect to q. 98*q Let y be (-8)/6*12/(-8). Find the first derivative of -y - z + 7 - 3*z + z wrt z. -3 Let b(m) be the first derivative of -2*m**6 + 6*m**2 + 11. Find the second derivative of b(r) wrt r. -240*r**3 Let s(c) be the third derivative of c**2 + 5/6*c**3 + 0 + 0*c - 1/12*c**4. What is the derivative of s(t) wrt t? -2 Suppose -w + 2 = 1. Let u(z) be the first derivative of -z - w - 3/2*z**2. Differentiate u(p) wrt p. -3 Suppose -3*t - 2*f = -10, 3*f + 19 = 4*t - 0*f. Find the second derivative of -8*z**5 + 8*z**5 - t*z + 3*z**5 wrt z. 60*z**3 Suppose -9 = v + k + 2*k, -2*v = -4*k - 22. Find the third derivative of 0*a**4 + 0*a**4 + 2*a**2 - v*a**5 + 2*a**5 wrt a. -60*a**2 Suppose 4*j - 5*o + 3*o = 10, j + 4*o = 7. Find the third derivative of 2*t**3 - t**3 + 2*t**2 + 3*t**j - 3*t**3 wrt t. 6 Let u(p) = 38*p**5 - 3*p. Let i(n) = 77*n**5 - 7*n. Let x(q) = -4*i(q) + 7*u(q). Find the second derivative of x(h) wrt h. -840*h**3 Let o(t) be the second derivative of 11*t**6/30 + t**4/3 + 10*t. What is the third derivative of o(i) wrt i? 264*i Let f = -10 - -14. Find the second derivative of -f + 2*t + 3*t**2 + 4 + 2*t wrt t. 6 Find the third derivative of 58*m**5 - 19*m**2 - 35*m**5 - 13*m**2 wrt m. 1380*m**2 Let r(q) = 11*q**3 + 34*q**2. Let x(b) = -12*b**3 - 35*b**2. Let v(m) = -6*r(m) - 7*x(m). Find the third derivative of v(p) wrt p. 108 Let k(n) be the first derivative of 0*n - 4/3*n**3 + 1 - 5/2*n**2. What is the second derivative of k(h) wrt h? -8 Let t(z) = 7*z - 19. Let n(q) = 2*q - 5. Let o(j) = -22*n(j) + 6*t(j). What is the first derivative of o(f) wrt f? -2 Let t(z) be the first derivative of -3*z**2 - 47*z - 48. Differentiate t(c) with respect to c. -6 Let d be (1 - 2)/2*0. What is the second derivative of -3*y + 3*y**4 + y + d*y wrt y? 36*y**2 Let o(i) be the second derivative of 2*i**7/7 + 13*i**4/12 - 33*i. Find the third derivative of o(y) wrt y. 720*y**2 What is the third derivative of -14*t**2 - 17*t**5 + 6*t**5 + 6*t**2 wrt t? -660*t**2 Let d(w) = w. Let m(c) = -c**2 - 4*c - 4. Let z = -1 + -2. Let t be m(z). Let a(u) = -8*u - 2. Let y(k) = t*a(k) - 6*d(k). Differentiate y(f) with respect to f. 2 Let a(r) be the first derivative of -1/2*r**3 + 2*r + r**2 - 1. Let m(c) be the first derivative of a(c). Differentiate m(u) with respect to u. -3 Let r = -10 - -28. Suppose -2*t = t - r. Find the third derivative of -g**2 + g**t + g**6 - g**2 wrt g. 240*g**3 Let x(t) be the third derivative of -t**9/15120 + t**6/360 + t**5/20 - 2*t**2. Let f(o) be the third derivative of x(o). What is the derivative of f(w) wrt w? -12*w**2 Let c(q) be the third derivative of 0*q**4 + 0*q + 0*q**6 - 5*q**2 - 7/60*q**5 + 0*q**3 - 1/84*q**8 + 0 + 0*q**7. What is the third derivative of c(v) wrt v? -240*v**2 Let c(g) = 5*g**2 - 3 + 4 + g + 2*g**3 - 3*g**3 - 4. Let p be c(5). What is the third derivative of -7*v**2 - 2 + 5*v**2 + p*v**3 + 2 wrt v? 12 Let b be (115/69)/(1/3). Let u(t) be the first derivative of 0*t**4 + 2 + 0*t - t**3 + 0*t**2 + 2/5*t**b. Find the third derivative of u(d) wrt d. 48*d Let j(r) = -8*r**3 + 16*r**2. Let k(v) = -16*v**3 + 31*v**2. Let d(z) = -11*j(z) + 6*k(z). What is the third derivative of d(i) wrt i? -48 What is the derivative of -2 - 6*v - 2 + 3 wrt v? -6 Suppose 4*z + 2 - 6 = 0. Let d = z - -1. Find the first derivative of 2*a**2 - 2*a**3 - 2 + a**d - 3*a**2 wrt a. -6*a**2 Suppose -16 = 4*i + 4*h, -2*i + 0*h - 13 = 3*h. Suppose -2*c - i = -5. Find the third derivative of -q**5 - 3*q**2 + 4*q**2 + 0*q**c wrt q. -60*q**2 Let t = -3 + 6. What is the third derivative of -2*a**t + 6*a**2 + a**3 - 3*a**2 wrt a? -6 Let y(l) = 2*l**3 + l**2 - 7*l - 1. Let r(z) = z**2 - z - 1. Let v(a) = r(a) - y(a). What is the second derivative of v(m) wrt m? -12*m Let p(h) be the first derivative of 3*h**6/2 + 3*h**2 - 8. Find the second derivative of p(r) wrt r. 180*r**3 Let s(x) be the second derivative of -11*x**6/30 + 11*x**4/12 - 9*x. What is the third derivative of s(p) wrt p? -264*p Find the third derivative of 0*y**2 - 2*y**6 + 2*y**2 - y**6 wrt y. -360*y**3 What is the third derivative of 11 + 17*u**2 - 8*u**3 - 11 wrt u? -48 Let m(r) = 3*r**3 + 5 + 9*r - 4*r**3 - 3*r**2 - 4*r. Let i be m(-4). What is the first derivative of -i - 4*n + n + 4*n wrt n? 1 Let w be 4*(-1)/2 + 5. What is the first derivative of w - 2*a + a + 5*a wrt a? 4 Let k(u) = 0*u + 0*u**2 + u**2 + 1 + 1 + 2*u. Let g be k(-2). Find the second derivative of -12*a**g - a + 10*a**2 - a wrt a. -4 Let m(q) = -q**2 + 5*q. Suppose 4*w - 12 = 0, 4*g + 5*w = 27 + 4. Let p be m(g). What is the third derivative of 2*c**6 - 3*c**2 + c**2 - p*c**6 wrt c? -240*c**3 Suppose -4*l + l + 27 = 0. Let s = l - 6. Find the third derivative of -i**2 - i**s + 0*i**2 + 3*i**2 wrt i. -6 Let j = -3 + 0. Let i = j + 6. What is the third derivative of 0*m**i + m**3 + 9*m**2 - 7*m**2 wrt m? 6 Let q(f) be the second derivative of f**7/1260 + f**6/240 - f**4/4 + 5*f. Let l(h) be the third derivative of q(h). Find the second derivative of l(p) wrt p. 4 Let b(l) be the first derivative of l**6/6 + 6*l**2 + 19. Find the second derivative of b(g) wrt g. 20*g**3 Let b(f) be the second derivative of 13*f**4/6 + 9*f**2 - 17*f. Differentiate b(x) wrt x. 52*x Let x(k) = -21*k + 35. Let b(d) = -11*d + 17. Let u(h) = 13*b(h) - 6*x(h). Differentiate u(q) with respect to q. -17 Let h(v) be the second derivative of v**5/20 - v**4/4 + 7*v. Find the third derivative of h(i) wrt i. 6 Suppose w - 21 = -4*t, 4*w - 28 = -t - t. Find the third derivative of 7*z**4 + 2*z**t - 2*z**2 - 4*z**4 - 4*z**2 wrt z. 120*z Let d(k) be the first derivative of 27*k**4/4 + 25*k**3/3 + 3. Find the third derivative of d(q) wrt q. 162 Let c(h) = -h**3 - h**2 + h - 2. Let j(q) = -4*q**3 + 10*q**2 - 18*q + 20. Let y(r) = 10*c(r) + j(r). What is the second derivative of y(m) wrt m? -84*m Let q(r) be the second derivative of -4*r**6/15 + 13*r**2/2 + 2*r. What is the first derivative of q(k) wrt k? -32*k**3 Suppose 0 = -3*l + 2*l - 2*a + 4, 3*l = 4*a + 2. Find the second derivative of x - 2*x - x + x**2 - l*x wrt x. 2 Let j(y) be the third derivative of y**8/840 - y**6/120 - y**3/6 - 9*y**2. Let z(v) be the first derivative of j(v). What is the third derivative of z(x) wrt x? 48*x Find the second derivative of -5 - 4*y**2 + 7*y + 5 wrt y. -8 Let m(g) = -1 + 5*g**2 + 9*g**3 - 4*g**3 + 0*g**2 + 9*g**4. Let c(k) = -14*k**4 - 8*k**3 - 8*k**2 + 2. Let d(y) = 5*c(y) + 8*m(y). Differentiate d(n) wrt n. 8*n**3 Let c(v) = 5*v - 3. Let b be c(-7). Let n = -6 - b. Find the third derivative of -32*s + 3*s**5 + n*s - 3*s**2 wrt s. 180*s**2 Let q(x) = -x**5 - 5*x**4 - 47*x**3 - 7*x**2. Let n(s) = s**4 + s**3 + s**2. Let b(i) = -5*n(i) - q(i). What is the third derivative of b(g) wrt g? 60*g**2 + 252 Let t(s) be the third derivative of s**6/120 + s**3 + 8*s**2. Differentiate t(h) with respect to h. 3*h**2 What is the first derivative of 221*a**2 - 221*a**2 - 7 - 15*a**3 wrt a? -45*a**2 Let v(x) be the second derivative of -x**5/20 + x**4/4 + x**3/3 + 4*x**2 + 62*x. Find the second derivative of v(k) wrt k. -6*k + 6 Let a(r) be the second derivative of 0 + 0*r**3 + 0*r**6 - r - 1/6*r**4 + 0*r**5 + 1/21*r**7 + 0*r**2. What is the third derivative of a(z) wrt z? 120*z**2 Let m(c) = -c**3 + 8*c**2 + 8*c + 12. Let g be (99/(-22))/(1/(-2)). Let s be m(g). Find the third derivative of -3*w**5 - w**2 - w**5 - s*w**2 wrt w. -240*w**2 Let v(z) be the third derivative of 7/60*z**5 - 2/3*z**3 + 0*z - 5*z**2 + 0 + 0*z**4. What is the derivative of v(f) wrt f? 14*f Suppose 2*o - o - 5 = 0. Find the first derivative of -1 - 2*f**4 + o*f**4 + 0 wrt f. 12*f**3 Let r = 5 - 2. Let g(b) be the second derivative of -1/4*b**4 + 0*b**2 + 1/3*b**r + 3*b + 0. Find the second derivative of g(z) wrt z. -6 Let g(i) = -6*i - 4. Let q(s) = -3*s - 2. Let v(p) = -2*g(p) + 5*q(p). Let t be v(-2). What is the first derivative of -7 + 9 - 2*k**2 - t*k + 4*k wrt k? -4*k Let m be (3 + -2)*4/2. Let v(c) = c**2 - c. Let a(r) = -6*r**2. Let t(k) = m*a(k) + 6*v(k). What is the second derivative of t(q) wrt q? -12 Find the third derivative of 12*g**6 - 192*g - 5*g**6 - 40*g**2 + 192*g wrt g. 840*g**3 Let s(n) be the first deriv
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
+ 3*l**2 + 3*l**2 - 3*l**2 + (0*l + 3*l - 5*l)*(3*l + 2*l - 6*l) + l**2 - 3*l**2 + 6*l**2. 13*l**2 Expand ((-1 - 1 + 1)*(-o + 1 - 1) - 8*o + 11*o - 11*o + 2*o - o - 3*o)*(0*o**3 + o**3 - 2*o**3). 9*o**4 Expand (-2 - 4 + 2 + (2 - 3 - 2)*(0 - 7 + 3))*(0*o + 0*o - o). -8*o Expand -2*m**2 + 1034*m**5 + 3*m**2 - 880*m**5 + (2*m - 2*m + m)*(3*m**4 + 3*m**4 - 4*m**4) + 2*m**5 - 3*m**5 + 3*m**5. 158*m**5 + m**2 Expand 9*n**3 - n**3 - n**2 - 6*n**3 + (-2*n + 2*n + 2*n**2)*(-2*n + 2 - 2). -2*n**3 - n**2 Expand (2 - 2 - 2)*((11*l + 3*l - 6*l)*(6 - 4 + 0) + 0*l + 3*l - 4*l). -30*l Expand (-2*j - 2*j + 5*j + (3 - 2 - 3)*(0 + 0 + 2*j))*(-11 + 11 + 7*j). -21*j**2 Expand (1 - 4 - 2)*(2*z + 1 + z + 1). -15*z - 10 Expand (-g**2 + 0*g**2 - 5 + 3)*(-2 + 0 + 1)*(g - 3*g - 2*g). -4*g**3 - 8*g Expand -2*g + 0 + 0 + (2 - 1 + 1)*(0*g - 4*g + 3*g) + (-2*g - 3*g + 7*g)*(-2 - 1 - 2). -14*g Expand (11 + 6 - 5)*(-6 - k**3 + 12*k - 5*k + 4). -12*k**3 + 84*k - 24 Expand (-4 + 3*x + 4)*(4 - 4 + 4)*(2 + 1 - 1). 24*x Expand (1 - 2 + 0)*(-c + 0*c + 0*c)*(-3 + 3 + 2)*(1 + 2 + 2). 10*c Expand (1 + 2 - 4)*(4*k**3 - 5*k**3 - k**3) + 10 - 10 + 29*k**3. 31*k**3 Expand -t + 3*t - 5*t + (2*t - t + 0*t)*(-6 + 0 + 4). -5*t Expand (-2 + 4 - 5)*(3*j**3 + 2*j**3 - 19*j**3). 42*j**3 Expand (-5*p + 9*p + 8*p)*((0*p - 5*p + 3*p)*(2 + 2 - 3) - 1 - p + 1). -36*p**2 Expand (3 - 1 - 3)*(3*g - 3*g + 6*g). -6*g Expand (h - h**2 - h)*(-3*h + h + 0*h)*(-57 - 41 + 14). -168*h**3 Expand (2*s - s + 7*s)*(-3*s + s + 3*s + (-2 + 1 - 1)*(0*s - s + 0*s) - 3*s - s + 2*s). 8*s**2 Expand (0 + 0 - 2*w**3)*((-5 - w + 5)*(-1 - 3 - 3) - 2*w - 2*w + 3*w). -12*w**4 Expand (-4*i**2 + i**3 + 4*i**2)*(-169 + 361 - 154). 38*i**3 Expand (-58 - 13*q**3 + 58)*(-8 + 3*q + 8). -39*q**4 Expand (-3 - 3 + 3)*(5*w - 15*w**3 - 5*w)*(-4*w + 4*w - 2*w). -90*w**4 Expand (3*s + s - 6*s)*((-s + 2*s + s)*(-5 + 6 + 0) + 2*s + s - s). -8*s**2 Expand (2*x**2 + 2*x - 2*x)*(-2*x + 5*x - 5*x)*(-14*x**2 - 7*x**2 + 10*x**2). 44*x**5 Expand 2*d + d**4 - 2*d + 2*d**4 + d**4 - 5*d**4 + (2 - d - 2)*(5*d**3 - 4*d**3 + d**3) + 2*d**4 - d**4 + d**4. -d**4 Expand (3*r**2 + r**2 - 3*r**2)*(2*r + 1 - 1)*(3 - 2 + 0). 2*r**3 Expand (b - 2*b - 2*b)*(-8 + 4 - 2) - b + b + b + b - 4*b + 2*b + (-2*b - 3*b + 6*b)*(-4 + 0 + 3) + 2 - 2 - 2*b + 3 - 3 + 2*b - 3*b + 4*b - 2*b. 16*b Expand (10*v**3 + 10*v**3 - 8*v**3)*((-1 - 1 + 0)*(-4*v**2 - 4*v**2 + 6*v**2) + v**2 + 3*v - 3*v). 60*v**5 Expand (-4*b + 4*b + 14*b)*(3*b**3 - b**3 - b**3) - 4*b**4 - b**4 + 4*b**4. 13*b**4 Expand (-3*d - 2*d + 2*d + (3 - 1 + 0)*(0*d + 2*d - 3*d))*(-d + d + 5*d). -25*d**2 Expand (1 - 1 + 2*t)*(2 - 3 + 3)*(0 + 2 - 1)*(-4*t**4 + 5*t**4 + 13*t**4). 56*t**5 Expand (f**3 - 5*f**3 - 19*f**3)*(3 - 3 + f). -23*f**4 Expand (i**2 + 0*i**2 + 2*i**2 + (3*i - 5*i + 3*i)*(i - i + 2*i))*(2*i + 3*i + 0*i). 25*i**3 Expand (-2*b - b + 5*b + (2*b + 1 - 1)*(-5 + 3 + 1) - 4*b - b + 4*b)*(-5 + 3 + 0) + (0 - 2 + 4)*(-2*b + 4*b + b). 8*b Expand (2 - h - 2)*(-6 + 2 + 2)*(-14*h**2 - 9 + 9). -28*h**3 Expand 2*x + 0*x - x + (0*x + x - 2*x)*(-1 + 3 + 1)*(-1 + 2 + 2). -8*x Expand (-z - z + 3*z)*(-2 + 1 + 2 + 1 - 2 + 3 + 3 - 4 + 3 - 1 - 1 + 0 + 4 - 4 - 2 + (-2 + 1 + 2)*(-4 + 0 + 2) + 0 - 2 + 0 + 11 + 6 - 4). 10*z Expand (5*p**2 + 0*p**2 - 4*p**2)*(-2 + 2*p + 2) + (p - 7*p + 0*p)*(-2*p**2 - 4 + 4). 14*p**3 Expand 2*r - 2*r - r**4 + (r - 2*r - r)*(r**3 + 3*r**3 - 3*r**3) - r**4 + 0*r**4 + 2*r**4 + 8*r**4 - 3*r**4 - 24*r**4. -21*r**4 Expand (2*a + 8*a - 3*a)*(-3*a**2 + 7*a - 7*a). -21*a**3 Expand (0*m + 3*m - 5*m)*(-1 + 2 + 1) - 3 + 3 + 2*m + 2*m - 3*m + 0*m + (-3 + 4 + 1)*(-2*m + 0*m + m). -5*m Expand (4*h**2 - 5*h**2 + 0*h**2)*(17*h - 37*h + 6*h**2 - 3*h**2). -3*h**4 + 20*h**3 Expand (6 - 4 - 3)*(-2 - 3 + 3 - 52*i). 52*i + 2 Expand (k + 0*k + k)*(2*k - 2*k + k + 3*k - 4*k + 4*k + (-1 + 2 + 0)*(k + 0*k + 2*k)). 14*k**2 Expand (6 - 6 - 5*z**4)*(-2*z - z + z) + (-3*z**2 + z**2 + 4*z**2)*(0*z**3 + 3*z**3 - 2*z**3). 12*z**5 Expand (-4 + 1 + 1)*(0 + 1 - 7)*(2*m + 0*m - 3*m). -12*m Expand (3*y - 3*y + 2*y**2)*(1 + 5 + 0). 12*y**2 Expand ((-6 + 0 + 3)*(-2 - y + 2) - 4*y + 0*y + 3*y)*(-2*y**4 + 5*y**4 - 4*y**4). -2*y**5 Expand (s**3 - 2*s**3 - 2*s**3)*(4*s - 5*s - s) + 0*s**4 + 7*s**4 - 5*s**4 + 3*s**4 + s**3 - s**3. 11*s**4 Expand (-5*h + 2*h + 0*h)*(0 + 2*h + 0) + (0*h - 2*h + 0*h)*(-2*h + 2*h + h) + 1 - 1 - 2*h**2. -10*h**2 Expand (-3*b + 3*b + 2*b)*(2 - 3 + 3)*(3 - 3 + b**3). 4*b**4 Expand (1 - 2 - 5)*(-2*p**2 + 6*p**2 - p**2)*(2 - 2 + p). -18*p**3 Expand (1 - 1 + 7)*((-6 + 1 + 3)*(-h + 2*h - 3*h) + (-2 + 6 - 2)*(-4 - h + 4) + 3*h - 2*h + 0*h - 2 + 2*h + 2). 35*h Expand (3*s - s - 3*s)*(s - 5*s + s)*(2 - 4*s - 2) + (s**2 - s**2 + s**2)*(1 + 2*s - 1). -10*s**3 Expand (11 - 11 - 15*q)*(-q + 2 - 2). 15*q**2 Expand 2*i**4 - 5*i**4 + i**4 + (i**4 - 2*i**4 - i**4)*((2 + 1 - 1)*(-2 - 3 + 4) - 2 - 5 + 4). 8*i**4 Expand (-c + 2*c - 3*c)*(-c**3 - 7*c**2 + 7*c**2). 2*c**4 Expand 0*c**2 + 4*c**2 - 6*c**2 + 2*c**2 - 3*c + 3*c + (-5*c**2 + 3*c**2 + 0*c**2)*(-1 - 2 + 1) + 2*c**2 - c**2 + 0*c**2 + (-c + c + 2*c)*(0*c - 10*c + c). -13*c**2 Expand (r**4 - 4*r**4 + r**4)*((-1 + 0 + 3)*(2*r + r - 2*r) - 14*r - 6*r + 8*r). 20*r**5 Expand (2*a**2 - 3 + 3)*(-10*a + 9 - 9). -20*a**3 Expand (9*i**2 - i**3 - 9*i**2)*(-4*i**2 + 0*i**2 + 2*i**2) + 2*i**5 + i**5 - 4*i**5 - 3*i**5 - i**5 + 7*i**5. 4*i**5 Expand (v**2 - 5*v**2 + 3*v**2)*(2*v**2 + 0*v**2 - v**2 + (-v**2 + 3*v**2 - v**2)*(-2 + 4 + 0) + v**2 + 5*v - 5*v) + 2*v**4 - v**3 + v**3. -2*v**4 Expand -2*y**3 + 2*y**4 + 2*y**3 - 1 + 2*y**4 + 1 + (-3*y**4 - 2*y**4 + 4*y**4)*(1 + 4 - 4) + (10*y**2 + 9*y - 9*y)*(4*y - 4*y + 2*y**2) - y**3 - 2*y**4 + y**3. 21*y**4 Expand (-1 + 0 + 2)*(-1 + 1 + 1)*(-2 + 0 + 0)*(r**2 - r**4 - r**2). 2*r**4 Expand (3 - l - 3 + (l - 3*l + 4*l)*(-5 + 2 + 2))*(2*l + 2*l - 2*l + (1 - 1 + 2*l)*(-2 - 3 + 3)). 6*l**2 Expand (-17*d**2 + 4*d**2 - d**2)*(0*d - d + 3*d) + (-3*d**2 - d**2 + 6*d**2)*(0*d - 2*d + d). -30*d**3 Expand (-2*b**2 + b**2 - 3*b**2)*(-2 - 2 - 1). 20*b**2 Expand 2 - 2 + 2*q**2 + (2*q - 2 + 2)*(-3*q + q - q). -4*q**2 Expand (q - q - q + (-3*q + 3*q - q)*(-4 + 3 + 3) - 2*q + 4*q - q - 4 + 8*q + 4)*(0*q - 2*q + 3*q). 6*q**2 Expand (-j - 20 + 5 + 11)*(-2*j**4 - 3*j**4 + 4*j**4). j**5 + 4*j**4 Expand (k - 2*k + 2*k)*(k**3 - 3*k + 3*k)*(-6 - 1 + 0). -7*k**4 Expand -2*y**5 + 3*y**5 - 13*y**5 + (2 - y**2 - 2)*(0*y**3 - 5*y**3 + 3*y**3) + 2*y**5 - y**5 + y**5. -8*y**5 Expand (-5*u - 2*u + 5*u)*(-2 - 1 + 5) - 5 + 5 + u. -3*u Expand (4*g + g - 2*g)*(1 + 2*g - 1) + 42 - 42 + 6*g**2. 12*g**2 Expand (-2*w - w + 5*w)*(4*w**2 - 4*w**2 + w**3) + w - w - w**4 - w**3 + 2*w**4 + w**3 + 2*w - 2*w - 2*w**4 + (-14 + 14 + 4*w**2)*(3*w**2 + 0*w**2 - 2*w**2). 5*w**4 Expand -20*k + 39*k + 5 - 18*k + k - 4*k + 2*k + (k - k - k)*(-3 + 6 - 1) - 2*k + 1 - 1. -4*k + 5 Expand (5*p**2 - 7*p**2 + 0*p**2)*(0*p**2 - p**2 - p**2). 4*p**4 Expand (4 + 2*t - 4)*(4*t**2 + t**3 - 4*t**2)*(2*t - t - 2*t - 3*t + 4*t - 3*t - 2*t - 1 + 1 + 2 - 2 - 2*t + (-3*t + 4*t - 3*t)*(3 + 0 - 1)). -22*t**5 Expand (p**3 + 0*p**3 - 5*p**3)*(0 + 0 + p**2) + 3*p**5 - 2*p + 2*p. -p**5 Expand (-2 + 2 - 1 + (-2 - 2 + 3)*(0 - 3 + 5))*(4*q + 15 - 15)*(-3*q**3 + 3*q**3 + 2*q**4). -24*q**5 Expand (1 - 3 + 0 + (-3 + 2 + 0)*(-1 + 2 + 1) - 3 - 3 + 4 + 0 - 5 - 5)*(0*x + x - 2*x). 16*x Expand (2 + 0 - 3)*(-4*t + 0*t + 5*t) - t + 0*t + 0*t. -2*t Expand (12*o - 12*o - 3*o**2)*(6*o**3 + 5*o**3 - o**2 + 2*o**2). -33*o**5 - 3*o**4 Expand (-4*d + 2*d - 7*d)*((-3*d + 3*d - d)*(7*d - 3*d - 3*d) - 3*d + 2*d**2 + 3*d). -9*d**3 Expand -8 + 8 - 2*s**4 + (1 + 0 + 0)*(2*s**2 - 2*s**2 - 2*s**4). -4*s**4 Expand (2*g**2 - g**2 - 2*g**2)*(-1 - 2*g**2 + 1) - 2*g**4 + 0*g**4 + 3*g**4 + 2*g**4 + g**4 - 2*g**4 + (0 - g**2 + 0)*(0*g**2 + 3*g**2 - 5*g**2). 6*g**4 Expand (3*u - 2*u - 3*u)*(7 + 18 - 9). -32*u Expand (-2*c**3 + 3*c**3 + 4*c**3)*(1 - 5 + 2 - c). -5*c**4 - 10*c**3 Expand (2 - 2 + 2*w**2)*(0 + 4 - 6) - 4*w**2 + w**2 + 5*w**2. -2*w**2 Expand (-3*p + p**4 + 3*p)*(0*p - 2*p + 0*p) - 6*p**2 + 6*p**2 - p**5 + p**4. -3*p**5 + p**4 Expand 0*c + 0*c + 2*c**2 + (-4 - 1 - 1)*(-2 - c**2 + 2). 8*c**2 Expand (0*d - 3*d + d)*(3*d + 0*d - d)*(5 - 2 - 1 + (-4 + 2 + 0)*(-6 + 2 + 3) + 2 + 0 + 0 - 3 + 3 + 1 + 0 - 3 + 2). -24*d**2 Expand (-3 + 90 + 49)*(-2*d**4 +
{ "pile_set_name": "DM Mathematics" }
7) + -32 + (-44 - -2)? -34 2 + 12 + (-2 - (17 + (-18 - 2))) 15 7 + -6 - (-360 - -283) 78 2 + 24 + 0 + -19 - 1 6 (-43 - (31 + (-28 - 67))) + (-125 - -1) -103 Calculate -54 + (105 - 29) - (-4 - -97). -71 Calculate -83 + (151 - (101 + -133)). 100 What is -26 - ((2 - 7 - -4) + 5 + -6 + 8)? -32 Evaluate -8 - 25 - -35 - (-2 - -4). 0 Evaluate -11 - -2 - -3 - -50. 44 What is the value of -142 + 164 - (73 + 12)? -63 Calculate 11 - ((16 - (-22 + 35)) + 29). -21 What is 29 - (31 - -11) - (-16 + 1 + 1)? 1 (13 - 38) + 23 + 3 - -64 65 -9 + 21 - (0 + 12 - (58 - 57)) 1 What is -12 + (1 - -3) - (-12 + (14 - (0 - -4)))? -6 Evaluate (-12 - 74 - 6) + (48 - 14). -58 What is the value of (-5 - 22) + (-3 - -2) + 19 + (-1 - -13)? 3 Calculate (1260 - 1222) + 3 + (-42 - 2). -3 What is the value of -37 + 42 - 0 - -41? 46 -18 + 17 + -157 + 93 -65 (7 - 6 - 41 - -42) + (-2 - -1 - -66) 67 Evaluate (-20 - 37) + 34 + (-1 + 1 - 4) + 0. -27 What is (-29 + 10 - 34) + 106? 53 -2 + (24 - 18) + 2 + -13 - (21 - 67) 39 What is 9 - 4 - ((-7 - 1) + (72 - 55 - 58))? 54 (-47 - -41 - (-11 + 2) - 12) + -7 -16 (-22 - (-19 + -5)) + -21 - -4 -15 Evaluate 63 + -46 + 25 + -49. -7 Evaluate 51 - (-60 - -31 - -70). 10 Calculate (-23 - (-1 - 17)) + -8 - -33 - -18. 38 What is the value of (-33 - -3) + (15 + -10 - -10) + -16 + 11? -20 What is 0 - (75 + 0 + (0 + 0 - (465 - 457)))? -67 Calculate (-193 - 1) + 3660 + -3528. -62 What is the value of (0 - -2) + (26 - (-13 + -18 + 48)) + -104? -93 Calculate 73 + -5 + (-7 - 6) + 15 + -4. 66 Calculate -46 - (23 + -21 - 24) - -43. 19 Calculate -16 - (20 + 7 + (5 - -12 - 35)). -25 Calculate 1 - -111 - (4 + 71 + -75). 112 What is the value of (-10 + 2 - 19 - -6) + 1 + 9 + -14? -25 Evaluate -2 + 56 + (28 - 40). 42 What is the value of -3 + -15 - -18 - ((-9 - -3) + (3 - -48))? -45 Evaluate (-1 - 0) + 7 - (28 - ((58 - 65) + -23)). -52 Calculate (10 - -5) + -12 - (-13 + 9). 7 What is the value of -24 + 13 + -42 - 18 - -7 - 9? -73 Calculate (-13 - -12 - (-5 - 0)) + -55 + 27. -24 Calculate -35 - -3 - (-19 + -50). 37 What is the value of -173 + 15 + 145 + (0 - -33)? 20 Calculate (3 - -84) + (65 - 48 - (6 - -3)). 95 -65 - (-279 + 115 - -126) -27 (-631 - -667) + (17 - (0 + 4)) + 8 57 What is the value of 126 + -114 - (4 + -2) - 5 - 70? -65 Evaluate -18 + -33 + 42 + -31. -40 What is -30 + 54 + -59 + 32 + (2 - 1)? -2 Evaluate (11 - 1) + (-161 - -43) + 15. -93 Calculate 76 + -75 - (-13 - -39). -25 Calculate (1 - -1) + (41 + -24 - 19) + -22. -22 Calculate -20 - (152 + -122 + -1 + -107). 58 Evaluate -46 - (8 + 8 + -19 + (5 - 14)). -34 What is 1 + -3 - (-7 - (-68 - -82))? 19 What is the value of -8 + 10 + -23 + 38 + -1? 16 Calculate 11 - (26 + (-19 - (-9 - -6)) + -4 + -2). 7 Evaluate 4 + (1 + 4 + 83 - 12 - (1 - 12)). 91 -27 - (60 - (54 + 24)) -9 What is 10 + (4 - (25 - 0) - (31 - 42))? 0 What is -145 + 125 + 1 + 5 - (-3 - 8) - -4? 1 -44 + -3 - (119 + -153 + 25) -38 Evaluate 9 + 16 + 5 + -40 + 0. -10 What is the value of -72 + -18 + 22 + 9 + -42? -101 Calculate -209 + 360 + -132 + (0 - -44). 63 Evaluate -16 - (33 + (-13 - 1) + -114). 79 -1316 + 1364 - (-2 - -22) 28 36 + -46 + 18 - 2 6 Calculate -55 + (7 - -21) + -3 - -36. 6 What is 15 + -1 - (237 + -120 + 36) - -16? -123 Calculate 12 + -9 + (17 - -25) - -4. 49 What is the value of 25 - (15 + -18 + 34 + 8)? -14 What is the value of -11 + -5 + 9 + (-38 - -50) + 42 + -1? 46 What is (-3 + 9 - -1) + -60 + (2 - -7 - 5)? -49 Evaluate -47 - (-52 - -2 - (0 - 29)). -26 What is the value of (106 - 239) + (-16 - -60)? -89 Calculate -97 + -26 + (-12 - 10 - -36). -109 Evaluate (-98 - (5 + 6)) + 34 + 5. -70 What is -57 + (-10 - -4) + 4 + (8 + -3 - -7)? -47 2 - (13 + -19 + 8 + 2 - 7) 5 Calculate -63 + -9 + (-2 - 18) - -2. -90 What is the value of -26 + 3 + 12 + -4 + -43 + -7? -65 What is 1 - 3 - (901 - 940)? 37 What is 1 + (7 - (1 + (-13 - (5 - (8 - 8)))))? 25 What is -30 - (24 + 44 + -21 + -5)? -72 What is 7265 + -7251 + (26 - -1) - (1 + -1 + -1)? 42 What is the value of (2 - (32 + -2)) + -24 + (56 - (9 - -25))? -30 What is the value of (-22 + (-2 - -94) - -17) + (4 - 8) + 13? 96 (-20 - (14 + -61)) + -47 + (-15 + 0 - -2) -33 Evaluate -1 + (-16 - 46) - (92 - 66). -89 What is -1 - 10 - (37 + -85 - (51 - 30))? 58 Evaluate (-22 - ((-137 - -34) + 8)) + -34. 39 What is the value of -40 - 1 - (1 - (17 - (16 + 8 + 0)))? -49 What is the value of (11 - ((-9 - -9) + 5)) + (89 - 89)? 6 What is the value of -26 + -15 + 22 + -13 - -12? -20 Calculate -10 + (2653 - 2684 - (1 + 4)). -46 (13 - -1) + (3 + 6 + -2 - 8) 13 Evaluate -42 + -125 + -7 + 7 + 13 + (7 - 5). -152 What is -31 - (-5 - -6) - (-6 - (14 + (-7 - 4)))? -23 Evaluate (-2 - -1) + -36 + 63 - -10. 36 -62 + (-1 + -1 + 14 + -7 - 7) -64 Evaluate 516 + -500 + (1 - -2 - 10) - (0 + 67). -58 What is the value of -32 + (0 - 4) - ((37 + -19 - 3) + -24)? -27 Calculate (20 - -6 - 13 - 11 - -17) + -5. 14 -13 - -2 - (26 - (60 + -69)) -46 What is the value of (-75 - -4) + (2875 - 2911)? -107 What is the value of -2 + 8 + (-21 + -14 - -34) + 21? 26 -10 - (58 - (120 + -43)) 9 Calculate (-12 - 3) + (-74 - -114). 25 What is the value of -34 + 21 - (-16 - 8)? 11 Calculate (7734 - 7762) + 1 + -54. -81 What is 9 + 1 + -4 + -2 + (3 - 1) + -37? -31 What is the value of 0 - (-136 - -134 - (-1 + (1 - -3)) - -63)? -58 -12 - (-49 + 17 + -6) 26 Calculate 50 - ((-49 - -104) + -38) - (7 - 1). 27 Calculate 5 + -1 + (9 + 1 - (-22 + 1 - -27)). 8 Evaluate 3 - 64 - (22 + -42 + (18 - 11)). -48 What is 14 - (9 - ((4 - 10) + 4)) - 5? -2 Evaluate -16 - (3 + (-5 - -50) + (-4 - -9)). -69 Calculate -13 - (310 - 294 - (3 - 0) - (20 + -2)). -8 What is the value of 0 + (13 - 8 - 2) - (3 + 5) - -53? 48 What is the value of -1 + 8 + (329 - (387 + -164))? 113 Calculate -14 + 32 + (-6 - 3) + 1 + -5. 5 Calculate -23 + (61 - 49) + -1 + -10 + -1. -23 19 - (-20 + -5 + (60 - 17)) - -6 7 Evaluate 74 - (24 - (-36 - -17)). 31 Calculate 12 - ((-9 - (12 - 15)) + (-61 - -5 - -2)). 72 Calculate 26 - 27 - (33 + 21). -55 What is (9 + 12 + -24 - 7 - -8) + (-1 - 38)? -41 Calculate (-1460 - -1440) + (0 - -19). -1 Calculate (0 - (2 + -2)) + -19148 + 19252. 104 0 + (-1 - -11) + 0 - (6 - (-24 - -83)) 63 What is 15 + -1 - -2 - (-10 + 6 + -4)? 24 44 - (-17 - -8) - (-1 + -1 - -7 - 0) 48 What is the value of 30 + 9 + 4 + 86 + -79? 50 What is 91 + -33 + -21 - (6 - -114)? -83 What is the value of 18 + ((25 - 23) + -6 - 5)? 9 What is the value of (-16 - 12) + 10 + 39 - (-13 + (-1 - -3))? 32 Evaluate 29 + (15 - 106) + 23. -39 Calculate 42 + (28 - 61) + -10. -1 What is the value of 13 + 1 - (92 + -108 + (6 - 1))? 25 Evaluate 13 - (60 + (18 - 14 - 35 - -9)). -25 What is the value of -2 - (1 - (5 - -5 - (10 + -2 - 4)))? 3 What is -1 - (-3 + 18 + -1) - (4066 + -4123)? 42 -216 + 151 + -4 + 7 + 10 -52 13 + -5 + 1 + 2 - 0 - 34 -23 Evaluate 57 + -78 + -18 + -25. -64 What is (-713 - -705) + -71 + -11? -90 Calculate 14 - (-10 + 18 + -3) - -5. 14 What is (-14 - 32) + 63 + 34? 51 Calculate 5 + (-12 - (-18 - -11)) + 12 - -84. 96 Calculate 58 + 2 + 1 - (-776 + 808). 29 What is -12 + (-35 - -23 - -9) - (-3 + -23) - -26? 37 What is (3 + -9 - (2 + -1)) + (10 + -64 - -27)? -34 What is -71 + 32 - -46 - (-4 + 29)? -18 Evaluate 2 - -10 - (0 - (-142 - -29)). -101 What is the value of -12 + 10 + 2 + 14 + -30? -16 Evaluate (-974 - -968 - (-131 - (3 - 3))) + (4 - 9). 120 Evaluate (188 - 156) + 11 + 3. 46 Evaluate -8 + -3 - (111 + -94). -28 What is 5 + (-9 + -18 - -41) + (1 - 2) + -9? 9 33 + -21 + -12 + 12 12 What is the value of (1 + -1 - 20) + (-18250 - -18354) - (-4 + -2)? 90 What is 81 - (2 - 0) - 3 - (21 + 73 + -90)? 72 (93 - 42) + -100 - 14 -63 What is the value of 211 - 166 - (44 + -2)? 3 What is the value of -30 + (13 - 2 - (26 - 36))? -9 Evaluate -3 - (-41 + 5 + 43 + (2 - -23)). -35 What is the value of -88 - (-153 + (16 - 18))? 67 (-663 - -692) + (-63 - -7 - -6) -21 (-12 - -17) + -111 + -12 - (17 - 4) -131 Calculate (-1 - -7) + 11 + -136 + 106. -13 What is (1 - 2) + -6 - (119 - (-12 + 75) - 60)? -3 Evaluate -43 - ((50 - 31) + (-137 - 38)). 113 What is the value of 7 + (-2 - 5) - -21 - 8? 13 What is the value of -72 + 98 + -15 + 59? 70 Evaluate (-235 - -211) + (-6 - -7 - 14). -37 Calculate (7 - -9) + (-23 - (-1 + 5 - -66)). -77 Calculate 21 + 2 + (26 - (-37 - -60)) + -2 + 3. 27 Evaluate
{ "pile_set_name": "DM Mathematics" }
est common factor of b and x. 3 Let b be 2016/98 - 3/(-7). Let t = -25 - -39. What is the greatest common divisor of t and b? 7 Suppose 7*c = 5*c + 78. Let w = -29 + c. Calculate the greatest common divisor of 30 and w. 10 Let s = 21 - 19. Suppose -l + 5*l - 24 = -s*m, 5*l = -3*m + 32. Suppose 5*w - 3*w = 5*r - 40, 3*r - 2*w = 24. Calculate the highest common divisor of l and r. 4 Suppose -2*v + 5*p - 39 = 0, -v + 2*p = -6 + 24. Let t(m) = -m**2 - 17*m - 18. Let d be t(v). Calculate the highest common divisor of 28 and d. 14 Suppose -4*h = -7*h + 42. Let c be 2 - (h/(-77) - (-9060)/(-22)). Calculate the highest common factor of c and 46. 46 Suppose -2 = 3*j - 5*j. Let l = 3 - j. Let h = 368 - 354. Calculate the greatest common divisor of h and l. 2 Suppose m = -5*y + 1, -3*m + 9 = 3*y - 6. Suppose -q = q + m. Let l(h) = h**2 + 2*h + 2. Let z be l(q). What is the highest common factor of 1 and z? 1 Let h(k) = -4*k + 29. Let b be h(7). Suppose -b + 11 = j. What is the highest common divisor of 15 and j? 5 Let j = 57 + -27. Let g = -26 + 266. Calculate the highest common divisor of j and g. 30 Let f(m) = 4*m**2 + 10*m + 70. Let s be f(-9). What is the greatest common factor of s and 48? 16 Let j = 57 + -42. Let g(n) = -n + 22. Let r be g(j). What is the highest common divisor of 14 and r? 7 Suppose -3*o + 66 = 2*p + p, -5*o - 4*p + 107 = 0. What is the highest common divisor of o and 171? 19 Let r be (4 + -1)*(-752)/16. Let y = -133 - r. What is the highest common factor of y and 20? 4 Suppose -4*o + y + 10 = 0, -5 = -2*o - 2*y + 5. Suppose 83 - 3 = 2*h + 4*w, 2*w + 136 = o*h. Calculate the highest common factor of h and 110. 22 Let k be 148/8 - (-3)/2. Suppose f - k = 16. What is the highest common factor of f and 180? 36 Let y be (0 - 3)*1614/(-18). Suppose 0*k - k + 157 = 3*x, -2*k - y = -5*x. What is the greatest common factor of 424 and x? 53 Suppose -4 = v, -17*v + 12*v = -3*g + 356. Calculate the highest common factor of 84 and g. 28 Let z = 16 + 53. Let d = 499 + -173. Suppose 42 = 8*u - d. What is the highest common divisor of u and z? 23 Suppose -5*r - 18 - 17 = 0. Let x be (-5)/(2/(2*-1)). Let z = x - r. What is the highest common factor of 108 and z? 12 Let d be 2*(6 + -6 + 15). Calculate the greatest common factor of d and 54. 6 Suppose m - 119 = 5*r, -2*m - 4*r = -3*m + 116. Let w = 42 + -29. What is the greatest common divisor of w and m? 13 Suppose 2*x - 4 = 0, -23*n + 5*x - 1002 = -27*n. What is the greatest common divisor of n and 155? 31 Let h = 1 + -2. Let v be h + 6 - (-10)/(-5). Let f = -1 + 2. Calculate the greatest common divisor of v and f. 1 Let d(p) = -p**3 + 17*p**2 + p - 15. Let s be d(17). Suppose -36 = -s*m + 66. Suppose 6*l - 93 = m. Calculate the highest common factor of l and 36. 12 Let n = 87 - 60. Calculate the greatest common factor of 54 and n. 27 Let u be (2 - 3)/((-1)/33). What is the highest common divisor of u and 44? 11 Suppose -4*r - 4*l + 158 + 18 = 0, 0 = 5*r - 4*l - 238. Suppose 4*v - 26 = -2*g, -2*g = -4*v - 0*v + r. Calculate the greatest common factor of 162 and v. 9 Let j(r) = -253 + 253 + 23*r**2 - 7*r**2. Let o be j(-1). Suppose 4*s - 4*q + q - 96 = 0, -5*q + 96 = 4*s. Calculate the greatest common divisor of o and s. 8 Let z be 11 - (7 + 15/(-3)). Calculate the greatest common factor of 99 and z. 9 Let u be (-737)/(-22) - (-1 - (-6)/4). Let d be 11/(-4)*-1*8. What is the highest common factor of u and d? 11 Let z(n) = 4*n**3 - 65*n**2 + 15*n + 20. Let j be z(16). Suppose -6 = a - 18. What is the highest common factor of a and j? 4 Suppose -15*a + 13*a + 10 = 0. Suppose a*g = -f + 44, -2*f - 2*g = -4*g - 40. What is the highest common factor of f and 32? 8 Suppose 21*y = 1031 + 208. What is the highest common divisor of y and 236? 59 Let k be 1*(81/3 + 3). Suppose -2*v + 5*r + 51 = 0, -38*r + 42*r = -12. What is the highest common divisor of k and v? 6 Suppose -7*p = -17*p + 120. Calculate the greatest common factor of p and 468. 12 Let c be (-30)/(-8) + (-2)/(-8). Suppose c*o = 669 - 9. Let k = -1970 + 1985. What is the greatest common factor of k and o? 15 Suppose 5*b = 7*b - 10. Suppose 0 = -4*d + 13 + 3, d = b*h - 11. Suppose 4*w - 3*g - 128 = 0, h*g = -g + 16. Calculate the highest common factor of 14 and w. 7 Let h be (-24)/60 + 36972/30. Calculate the highest common divisor of h and 77. 77 Let o(t) = 3*t**2 + 32*t + 75. Let v be o(-3). What is the greatest common divisor of v and 25? 1 Let s(z) = z**3 + 6*z**2 - 20*z - 6. Let g be s(-8). Suppose -b = 37 - 50. Calculate the highest common factor of b and g. 13 Let g = -16 - -19. Suppose 7 + 23 = g*p. What is the greatest common divisor of p and 50? 10 Let y = -1709 + 2398. What is the greatest common factor of 106 and y? 53 Let y = 9 + -5. Let c(z) = z**3 - 2*z**2 - 4*z - 4. Let w be c(y). Calculate the greatest common factor of w and 84. 12 Let j = 180 + -290. Let w = j - -265. What is the greatest common factor of 31 and w? 31 Suppose -3*g = 167 + 115. Let t be 0 - g - (-14 - -18). Calculate the greatest common factor of 18 and t. 18 Let p be (-5)/((-15)/18) - 2. Suppose -p*b + 408 = 5*z, 6*b - 330 = -4*z + b. Calculate the greatest common factor of 32 and z. 16 Suppose 16*z = 40*z - 25296. Calculate the greatest common factor of z and 34. 34 Suppose 43 + 65 = 4*g. What is the highest common divisor of g and 9? 9 Suppose -4316 = -4*b + r, 5*b = -39*r + 42*r + 5402. What is the greatest common divisor of b and 98? 98 Let k = -7 - -13. Let d be (-3)/6*(k - 92). What is the greatest common factor of 86 and d? 43 Let y = -1 - -1. Suppose d - 3*i + 4*i - 26 = y, -9 = -3*i. Calculate the greatest common divisor of 253 and d. 23 Let g = 43 + -39. Suppose -2*n = -2*s - 0*s - 2, -g*s = 3*n - 3. Calculate the greatest common divisor of 4 and n. 1 Let x = 462 - 275. Calculate the highest common divisor of 17 and x. 17 Let y = -7 - -5. Let x be ((-1)/y)/(1/(-22)). Let w = 26 + x. What is the highest common divisor of w and 105? 15 Let q = 76 + -23. Let f = -35 + q. Calculate the greatest common factor of f and 6. 6 Let x(d) be the second derivative of -7*d - 1/12*d**4 + d**2 + 8/3*d**3 + 0. Let q be x(8). Calculate the highest common factor of 6 and q. 6 Suppose -2*l = -12 + 16. Let f be l/(-6) + 132/36. What is the greatest common divisor of f and 8? 4 Suppose 3*o = 25 - 10, 3*f - o - 67 = 0. Let u be (36/f)/((-3)/(-4)). What is the greatest common factor of u and 8? 2 Let f(h) = h**2 + h. Let y be f(0). Suppose y*v = 4*v - 40. What is the highest common factor of v and 50? 10 Let l(a) = -a**2 + 8*a + 27. Let o be l(10). Let i be (47*(-4 + 3))/((-1)/o). What is the greatest common factor of i and 47? 47 Suppose 4*n - n + 97 = 4*i, n - 63 = -3*i. Calculate the highest common divisor of 176 and i. 22 Let n(f) = -117*f + 5. Let d be n(-3). Let m be 2/3 + d/6. Suppose 2*s = -2*s - 2*r + 98, -r + 73 = 3*s. Calculate the highest common factor of m and s. 12 Suppose -31*c = -36*c + 230. Calculate the highest common factor of 299 and c. 23 Let c(z) = 8*z**2 + 3*z + 3. Let s be c(3). Suppose 169*d = 171*d - 24. Calculate the greatest common divisor of d and s. 12 Let w(l) = -5*l + 14. Let v be w(-3). Let q = -26 + v. Calculate the greatest common factor of q and 33. 3 Let x = 54 - 30. Let i be (-3 + 0)*6 - 0. Let n = i + 30. Calculate the highest common divisor of n and x. 12 Suppose -5184 - 1342 = -13*t. Calculate the highest common factor of 2 and t. 2 Let z = -37 - -70. Suppose 0*h = -3*h + z. What is the highest common factor of 11 and h? 11 Let h be 6/(0 + -6) - -21. What is the greatest common factor of 45 and h? 5 Suppose 4*m = -3*m + 98. What is the highest common factor of m and 2? 2 Suppose u = -5*q + 50, -27 - 10 = -3*q - 2*u. Let h(x) = x + 18. Let m be h(0). What is the highest common divisor of q and m? 9 Suppose -88 = 5*z + 747. Let x be -2 + 15/7 - z/7. Calculate the highest common divisor of 3 and x. 3 Suppose t - 3*n + 0*n = -1, 0 = -5*t + n + 9. Suppose t*x = -x + 12. Suppose 3*a - a = -4, -g + x*a = -18. What is the highest common divisor of 5 and g? 5 Let o(g) = 3*g**2 + 2 + 0*g - 5*g**2 + 8*g - g**3 + 0*g**2. Let j be o(-3). Let i = j - -28. What is the highest common factor of 105 and i? 15 Suppose 4*h + 4*s - 192 = 0, 2*s + 139
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 4 What is 7294 to the power of 1/2, to the nearest integer? 85 What is 1486 to the power of 1/3, to the nearest integer? 11 What is 1054 to the power of 1/2, to the nearest integer? 32 What is 1612 to the power of 1/3, to the nearest integer? 12 What is the square root of 5169 to the nearest integer? 72 What is 2751 to the power of 1/10, to the nearest integer? 2 What is 7786 to the power of 1/2, to the nearest integer? 88 What is 6079 to the power of 1/4, to the nearest integer? 9 What is 3546 to the power of 1/3, to the nearest integer? 15 What is the square root of 696 to the nearest integer? 26 What is 1823 to the power of 1/8, to the nearest integer? 3 What is the square root of 1595 to the nearest integer? 40 What is 2230 to the power of 1/2, to the nearest integer? 47 What is the square root of 8046 to the nearest integer? 90 What is the fifth root of 2643 to the nearest integer? 5 What is 1091 to the power of 1/2, to the nearest integer? 33 What is the square root of 2428 to the nearest integer? 49 What is 7386 to the power of 1/5, to the nearest integer? 6 What is 10124 to the power of 1/10, to the nearest integer? 3 What is 862 to the power of 1/9, to the nearest integer? 2 What is 148859 to the power of 1/8, to the nearest integer? 4 What is 15775 to the power of 1/2, to the nearest integer? 126 What is the square root of 33596 to the nearest integer? 183 What is the square root of 1637 to the nearest integer? 40 What is the cube root of 8327 to the nearest integer? 20 What is 453 to the power of 1/2, to the nearest integer? 21 What is 750 to the power of 1/2, to the nearest integer? 27 What is the sixth root of 2119 to the nearest integer? 4 What is the tenth root of 153563 to the nearest integer? 3 What is the square root of 3319 to the nearest integer? 58 What is the sixth root of 50582 to the nearest integer? 6 What is 64736 to the power of 1/2, to the nearest integer? 254 What is the square root of 8145 to the nearest integer? 90 What is 11068 to the power of 1/10, to the nearest integer? 3 What is 6361 to the power of 1/3, to the nearest integer? 19 What is 3211 to the power of 1/3, to the nearest integer? 15 What is the cube root of 66540 to the nearest integer? 41 What is 10112 to the power of 1/2, to the nearest integer? 101 What is 1254 to the power of 1/2, to the nearest integer? 35 What is 999 to the power of 1/2, to the nearest integer? 32 What is the cube root of 16436 to the nearest integer? 25 What is 1019 to the power of 1/2, to the nearest integer? 32 What is the seventh root of 1574 to the nearest integer? 3 What is 34118 to the power of 1/2, to the nearest integer? 185 What is 65798 to the power of 1/6, to the nearest integer? 6 What is the ninth root of 6242 to the nearest integer? 3 What is the cube root of 20811 to the nearest integer? 28 What is 35855 to the power of 1/4, to the nearest integer? 14 What is the square root of 4187 to the nearest integer? 65 What is 1869 to the power of 1/5, to the nearest integer? 5 What is the seventh root of 24634 to the nearest integer? 4 What is the ninth root of 3478 to the nearest integer? 2 What is the square root of 45843 to the nearest integer? 214 What is the cube root of 2104 to the nearest integer? 13 What is the third root of 26494 to the nearest integer? 30 What is 1117 to the power of 1/6, to the nearest integer? 3 What is the fourth root of 2446 to the nearest integer? 7 What is the ninth root of 198531 to the nearest integer? 4 What is 2363 to the power of 1/2, to the nearest integer? 49 What is the cube root of 1316 to the nearest integer? 11 What is 858 to the power of 1/7, to the nearest integer? 3 What is the square root of 1068 to the nearest integer? 33 What is 2024 to the power of 1/7, to the nearest integer? 3 What is the square root of 62428 to the nearest integer? 250 What is the square root of 544 to the nearest integer? 23 What is the square root of 5249 to the nearest integer? 72 What is 1257 to the power of 1/8, to the nearest integer? 2 What is the cube root of 36690 to the nearest integer? 33 What is the fifth root of 355 to the nearest integer? 3 What is 58433 to the power of 1/3, to the nearest integer? 39 What is the third root of 1283 to the nearest integer? 11 What is the square root of 608 to the nearest integer? 25 What is the third root of 49496 to the nearest integer? 37 What is 50018 to the power of 1/2, to the nearest integer? 224 What is the cube root of 2531 to the nearest integer? 14 What is the square root of 6790 to the nearest integer? 82 What is 1029 to the power of 1/2, to the nearest integer? 32 What is 102153 to the power of 1/2, to the nearest integer? 320 What is the square root of 143936 to the nearest integer? 379 What is the fifth root of 1877 to the nearest integer? 5 What is the cube root of 81490 to the nearest integer? 43 What is the third root of 876 to the nearest integer? 10 What is 6744 to the power of 1/9, to the nearest integer? 3 What is 26089 to the power of 1/3, to the nearest integer? 30 What is the seventh root of 14239 to the nearest integer? 4 What is the cube root of 1985 to the nearest integer? 13 What is 3882 to the power of 1/5, to the nearest integer? 5 What is 11388 to the power of 1/2, to the nearest integer? 107 What is 2199 to the power of 1/2, to the nearest integer? 47 What is the cube root of 124802 to the nearest integer? 50 What is the seventh root of 4499 to the nearest integer? 3 What is the third root of 10576 to the nearest integer? 22 What is 1769 to the power of 1/3, to the nearest integer? 12 What is the eighth root of 10010 to the nearest integer? 3 What is the cube root of 234 to the nearest integer? 6 What is 2624 to the power of 1/10, to the nearest integer? 2 What is the cube root of 117644 to the nearest integer? 49 What is the square root of 1057 to the nearest integer? 33 What is 17540 to the power of 1/6, to the nearest integer? 5 What is the square root of 21978 to the nearest integer? 148 What is 879 to the power of 1/2, to the nearest integer? 30 What is 5256 to the power of 1/2, to the nearest integer? 72 What is the tenth root of 11961 to the nearest integer? 3 What is the square root of 59332 to the nearest integer? 244 What is 891 to the power of 1/8, to the nearest integer? 2 What is the fifth root of 846 to the nearest integer? 4 What is 166088 to the power of 1/6, to the nearest integer? 7 What is the square root of 15311 to the nearest integer? 124 What is 483 to the power of 1/2, to the nearest integer? 22 What is the square root of 1028 to the nearest integer? 32 What is the third root of 487 to the nearest integer? 8 What is the square root of 11508 to the nearest integer? 107 What is 150134 to the power of 1/6, to the nearest integer? 7 What is 165219 to the power of 1/3, to the nearest integer? 55 What is the square root of 8711 to the nearest integer? 93 What is the ninth root of 78300 to the nearest integer? 3 What is the sixth root of 3492 to the nearest integer? 4 What is 6148 to the power of 1/2, to the nearest integer? 78 What is the third root of 29362 to the nearest integer? 31 What is 3251 to the power of 1/2, to the nearest integer? 57 What is 40416 to the power of 1/9, to the nearest integer? 3 What is 393 to the power of 1/2, to the nearest integer? 20 What is the cube root of 131685 to the nearest integer? 51 What is the square root of 2355 to the nearest integer? 49 What is 50 to the power of 1/2, to the nearest integer? 7 What is the ninth root of 7164 to the nearest integer? 3 What is 9707 to the power of 1/5, to the nearest integer? 6 What is 143 to the power of 1/2, to the nearest integer? 12 What is 2336 to the power of 1/5, to the nearest integer? 5 What is the third root of 744 to the nearest integer? 9 What is 26026 to the power of 1/2, to the nearest integer? 161 What is the cube root of 1023 to the nearest integer? 10 What is 2859 to the power of 1/8, to the nearest integer? 3 What is the cube root of 369 to the nearest integer? 7 What is the cube root of 957 to the nearest integer? 10 What is the seventh root of 26 to the nearest integer? 2 What is the square root of 32409 to the nearest integer? 180 Wha
{ "pile_set_name": "DM Mathematics" }
is 4398 to the power of 1/6, to the nearest integer? 4 What is 19644 to the power of 1/2, to the nearest integer? 140 What is 13743 to the power of 1/2, to the nearest integer? 117 What is the third root of 1091 to the nearest integer? 10 What is the cube root of 3559 to the nearest integer? 15 What is 2160 to the power of 1/5, to the nearest integer? 5 What is 1951 to the power of 1/4, to the nearest integer? 7 What is the third root of 140934 to the nearest integer? 52 What is 5313 to the power of 1/5, to the nearest integer? 6 What is 703 to the power of 1/10, to the nearest integer? 2 What is 15644 to the power of 1/2, to the nearest integer? 125 What is the seventh root of 827 to the nearest integer? 3 What is the square root of 17911 to the nearest integer? 134 What is 7502 to the power of 1/2, to the nearest integer? 87 What is the third root of 470 to the nearest integer? 8 What is the seventh root of 2017 to the nearest integer? 3 What is the fifth root of 9576 to the nearest integer? 6 What is the cube root of 955 to the nearest integer? 10 What is 18529 to the power of 1/4, to the nearest integer? 12 What is the square root of 39188 to the nearest integer? 198 What is the sixth root of 883 to the nearest integer? 3 What is 8346 to the power of 1/2, to the nearest integer? 91 What is the eighth root of 8988 to the nearest integer? 3 What is the cube root of 38003 to the nearest integer? 34 What is the square root of 2062 to the nearest integer? 45 What is the sixth root of 1434 to the nearest integer? 3 What is the ninth root of 12897 to the nearest integer? 3 What is 186399 to the power of 1/3, to the nearest integer? 57 What is 495 to the power of 1/2, to the nearest integer? 22 What is 64954 to the power of 1/3, to the nearest integer? 40 What is the seventh root of 6415 to the nearest integer? 3 What is 1320 to the power of 1/10, to the nearest integer? 2 What is 1122 to the power of 1/2, to the nearest integer? 33 What is 11395 to the power of 1/2, to the nearest integer? 107 What is 108006 to the power of 1/9, to the nearest integer? 4 What is the sixth root of 4046 to the nearest integer? 4 What is the third root of 21481 to the nearest integer? 28 What is the third root of 2212 to the nearest integer? 13 What is the sixth root of 5451 to the nearest integer? 4 What is the cube root of 1387 to the nearest integer? 11 What is 25289 to the power of 1/2, to the nearest integer? 159 What is 993 to the power of 1/6, to the nearest integer? 3 What is the sixth root of 7735 to the nearest integer? 4 What is 174 to the power of 1/2, to the nearest integer? 13 What is the seventh root of 1101 to the nearest integer? 3 What is 2764 to the power of 1/3, to the nearest integer? 14 What is 4998 to the power of 1/2, to the nearest integer? 71 What is the fifth root of 79 to the nearest integer? 2 What is the square root of 14813 to the nearest integer? 122 What is 1427 to the power of 1/9, to the nearest integer? 2 What is 38 to the power of 1/2, to the nearest integer? 6 What is 1410 to the power of 1/2, to the nearest integer? 38 What is 13562 to the power of 1/2, to the nearest integer? 116 What is 896 to the power of 1/2, to the nearest integer? 30 What is 289 to the power of 1/6, to the nearest integer? 3 What is 75246 to the power of 1/10, to the nearest integer? 3 What is 251 to the power of 1/7, to the nearest integer? 2 What is the fourth root of 10220 to the nearest integer? 10 What is the square root of 12319 to the nearest integer? 111 What is the fifth root of 22221 to the nearest integer? 7 What is the cube root of 87884 to the nearest integer? 44 What is the third root of 6982 to the nearest integer? 19 What is the square root of 105 to the nearest integer? 10 What is the square root of 464 to the nearest integer? 22 What is the square root of 16 to the nearest integer? 4 What is the cube root of 1443 to the nearest integer? 11 What is 8062 to the power of 1/2, to the nearest integer? 90 What is 1797 to the power of 1/3, to the nearest integer? 12 What is 10265 to the power of 1/7, to the nearest integer? 4 What is the third root of 57578 to the nearest integer? 39 What is 16298 to the power of 1/3, to the nearest integer? 25 What is the square root of 31087 to the nearest integer? 176 What is the cube root of 37642 to the nearest integer? 34 What is 11172 to the power of 1/6, to the nearest integer? 5 What is the third root of 8805 to the nearest integer? 21 What is 94928 to the power of 1/2, to the nearest integer? 308 What is 207633 to the power of 1/9, to the nearest integer? 4 What is the cube root of 2173 to the nearest integer? 13 What is 44239 to the power of 1/3, to the nearest integer? 35 What is 43940 to the power of 1/2, to the nearest integer? 210 What is the square root of 1810 to the nearest integer? 43 What is 656 to the power of 1/3, to the nearest integer? 9 What is the third root of 562 to the nearest integer? 8 What is the third root of 26 to the nearest integer? 3 What is the ninth root of 915 to the nearest integer? 2 What is the cube root of 60775 to the nearest integer? 39 What is 11534 to the power of 1/3, to the nearest integer? 23 What is 8058 to the power of 1/2, to the nearest integer? 90 What is the eighth root of 3381 to the nearest integer? 3 What is the cube root of 10777 to the nearest integer? 22 What is 118012 to the power of 1/10, to the nearest integer? 3 What is the seventh root of 5402 to the nearest integer? 3 What is the sixth root of 15666 to the nearest integer? 5 What is the tenth root of 28088 to the nearest integer? 3 What is 19517 to the power of 1/3, to the nearest integer? 27 What is 710 to the power of 1/6, to the nearest integer? 3 What is the cube root of 80 to the nearest integer? 4 What is the square root of 10312 to the nearest integer? 102 What is the ninth root of 18314 to the nearest integer? 3 What is 9825 to the power of 1/2, to the nearest integer? 99 What is the cube root of 1205 to the nearest integer? 11 What is the square root of 964 to the nearest integer? 31 What is the cube root of 158 to the nearest integer? 5 What is the cube root of 739 to the nearest integer? 9 What is the square root of 3568 to the nearest integer? 60 What is the seventh root of 1487 to the nearest integer? 3 What is the eighth root of 1918 to the nearest integer? 3 What is 27722 to the power of 1/2, to the nearest integer? 166 What is the fifth root of 2762 to the nearest integer? 5 What is 34205 to the power of 1/2, to the nearest integer? 185 What is the cube root of 13870 to the nearest integer? 24 What is the tenth root of 630 to the nearest integer? 2 What is 16975 to the power of 1/3, to the nearest integer? 26 What is 83966 to the power of 1/9, to the nearest integer? 4 What is 3269 to the power of 1/8, to the nearest integer? 3 What is 42095 to the power of 1/2, to the nearest integer? 205 What is 63015 to the power of 1/3, to the nearest integer? 40 What is 32763 to the power of 1/3, to the nearest integer? 32 What is 1028 to the power of 1/3, to the nearest integer? 10 What is the square root of 24734 to the nearest integer? 157 What is the fifth root of 7598 to the nearest integer? 6 What is 1955 to the power of 1/5, to the nearest integer? 5 What is the third root of 43 to the nearest integer? 4 What is the third root of 25663 to the nearest integer? 29 What is the ninth root of 22240 to the nearest integer? 3 What is 31980 to the power of 1/8, to the nearest integer? 4 What is 972 to the power of 1/4, to the nearest integer? 6 What is 44690 to the power of 1/7, to the nearest integer? 5 What is 23083 to the power of 1/2, to the nearest integer? 152 What is the square root of 273 to the nearest integer? 17 What is the fifth root of 29496 to the nearest integer? 8 What is 70135 to the power of 1/2, to the nearest integer? 265 What is the third root of 64057 to the nearest integer? 40 What is 2859 to the power of 1/10, to the nearest integer? 2 What is the ninth root of 584 to the nearest integer? 2 What is 12847 to the power of 1/9, to the nearest integer? 3 What is the square root of 14239 to the nearest integer? 119 What is 22592 to the power of 1/2, to the nearest in
{ "pile_set_name": "DM Mathematics" }
24*c for c. 5 Let s = -6385 - -6585. Solve -16*m - s = -248 for m. 3 Suppose v + s = 285, 264*v - 261*v - 852 = -2*s. Solve -v*b + 273*b = 9 for b. -1 Let f = -72 - -53. Let j = f - -19. Suppose 7*a = -j*a + 14. Solve 0 = -a*r - 5 - 1 for r. -3 Let p = -12 + 12. Let w = 10562 + -10559. Solve -w*r + 8*r - 10 = p for r. 2 Let y(o) be the second derivative of 3*o**3/2 - 11*o**2 - 20*o. Let p be y(4). Suppose 6*r - 16 = p. Solve 0 = r*q - 28 + 3 for q. 5 Suppose 2*m + 2*m - m - 186 = 0. Solve 36*u = m*u - 26 for u. 1 Let c = -1115 + 1161. Solve -25*x + 21 = -c*x for x. -1 Suppose 9*m + 2086 = 11*m - 3*g, -2*m = -2*g - 2084. Solve 1032*o - m*o - 56 = 0 for o. -7 Suppose -140*q + 1720 = -54*q. Solve 7*j - q*j = 8*j for j. 0 Let q(g) = -g**3 - 83*g**2 - 147*g + 1227. Let d be q(-81). Solve d*f = 32*f + 100 for f. -5 Suppose 108 + 0 = 27*f. Let u be ((-192)/208)/(f/(-26)). Solve 0 = 10*i - 8*i - u for i. 3 Let b = -393 + 484. Solve 0 = r - 93 + b for r. 2 Let w = -6008 + 6107. Solve -w*c = -101*c + 6 for c. 3 Let b = 148 + -148. Suppose 0 = p - b*p - 7. Solve 3*w + 8 + p = 0 for w. -5 Let g = 86 + -80. Suppose 30*j - 8 = 26*j. Solve g*u = -j - 10 for u. -2 Let j be 21/105 + 159/5. Suppose -z = -9*z + j. Suppose -2*y + s + z = 2, 4*y + 3*s - 14 = 0. Solve -y*r + 2 = 8 for r. -3 Let d(a) = 7*a**2 - a + 50. Let j be d(0). Let v = j - 46. Solve -4*n + v + 4 = 0 for n. 2 Let c(b) = -8 - 26 - 13 + 38*b + 166 + 78. Let q be c(-5). Solve -q - 1 = 2*y for y. -4 Let z(y) = -16*y**2 - 2*y - 11. Let h be z(-2). Let t = -66 - h. Solve -11*v = -6*v - t for v. 1 Let w = -109 + 355. Suppose -w*q + 237*q + 63 = 0. Solve 8 = -3*v + q*v for v. 2 Let c = -5 + 7. Suppose 0 - 4 = -c*l. Suppose 2 - l = g. Solve 9 = -3*z - g for z. -3 Let t be 5/(4 + (-36)/8). Let b be (t + 5 - 1)/(0 + 1). Let d be 0/(-5)*2/b. Solve d = -4*m + 6*m for m. 0 Suppose 0 = s - 5*d + 12, 0 = 4*s - 3*d - 24 + 4. Let w(l) = 7*l**3 + 2*l**2 + l. Let k be w(-1). Let v be (-4 - (k + 2))/(-2). Solve -4*u + 0*u + s = v for u. 2 Let h = -249 - -270. Suppose -3*c = u - 8 - h, -3*c + 4*u = -19. Solve 2*o - c = -o for o. 3 Suppose 8 + 8 = 5*t + 4*g, 4*t - 13 = -3*g. Suppose -13*j = t*j - 340. Solve 3*v + v = j for v. 5 Let a(n) = -n**2 - 9*n - 35. Let o be a(-9). Let z = 35 + o. Suppose -5*b - k + 34 = z, 22 = 4*b + 2*k - 10. Solve 4*m + b = m for m. -2 Suppose -12911*m - 828 = -12929*m. Solve 37 = -m*g - 331 for g. -8 Let u(a) = 14 + a**2 - 3 + 1 - 2*a. Let m be u(5). Solve 5*x + 12 = m for x. 3 Suppose -4*h + 2*z + 116 = 0, 2*h - 79 = -3*z - 13. Suppose -s - 26 = -h. Solve s*t = 16 + 4 for t. 5 Let g(v) = 6*v**3 - v**2. Let l = 140 - 139. Let a be g(l). Solve 2*s = a - 11 for s. -3 Suppose -2*q - 40*q + 952 = -8*q. Solve 24*x - q = -76 for x. -2 Suppose -364 + 82 = -2*m. Let w = 145 - m. Solve -6 - w = -5*z for z. 2 Let g = 146 + -145. Suppose g - 1 = -3*k. Solve k = 2*h - h + 3 for h. -3 Suppose 878*x - 936*x = -3944. Solve 69*b - 5 = x*b for b. 5 Suppose -5*z + 5*v = -750, 0 = 3*z - 95*v + 90*v - 444. Solve -187 + z = 17*p for p. -2 Suppose 0 = -5*v - 150 - 720. Let g = 179 + v. Solve 3*j = 4*j + g for j. -5 Let i be (-1)/3 + 14/6. Suppose -20*r + 27*r = 35. Suppose -30*w = -26*w + r*v - 10, 0 = -5*v - 10. Solve w*t - i = 8 for t. 2 Let s(r) = r**3 - 3*r**2 - 8*r + 12. Let w be s(6). Let u(b) = b**3 + 7*b**2 + 10*b. Let t be u(-7). Let x = t + w. Solve -2 = -2*i + x for i. 2 Let v(a) = a**2 + 76*a + 826. Let z be v(-63). Solve -q + z*q - 36 = 0 for q. 6 Let j be (-10633536)/(-18720) + 4/(-130). Solve -j*y = -573*y - 20 for y. -4 Let i = -5 + 11. Suppose -9*g + 108 = -i*g. Suppose 0 = g*k - 38*k + 32. Solve -4 = -4*t - k for t. -3 Let w(a) = a**2 - 5*a + 5. Let d = -14 + 16. Let g be w(d). Let n be (-2 + (0 - g))/((-8)/24). Solve -2 - n = j for j. -5 Suppose 134*c + 1140 = 191*c. Suppose 5*a - 15 = -5*g, 0 = -0*a + 3*a. Solve 2*s + g*s - c = 0 for s. 4 Suppose -399*f = -404*f - 5*r + 760, -f + 154 = 3*r. Solve 20 = 141*v - f*v for v. -2 Let u be ((208/(-1768))/((-6)/34))/((-2)/(-69)). Solve 104 = -u*l + 10*l for l. -8 Let x be ((-8)/5)/((-18)/180). Let z be 27/6*x/24. Let p be 2*(-1)/(-2)*z. Solve p*b = 4*b - 1 for b. 1 Suppose h + 1 = -0*h, 5*z - 4*h = 1554. Suppose 4*c - z = -c. Let x = c - 57. Solve -x*a - 8 = 2 for a. -2 Let k = -42 + 44. Let z be ((-4)/(-10))/((-4)/(-80)). Suppose -3*m - 7 = 2*g, 0 = 3*m + m + 20. Solve z = -k*b + g*b for b. 4 Let t(w) = -w**3 - 11*w**2 - 20*w - 7. Let u be t(-9). Suppose u*d = -16*d + 756. Solve 2*a = -20 + d for a. 4 Let z be 31 + 49/7 + 2. Solve 12*h = -64 + z for h. -2 Suppose 7*v = 10*v - 15, 4*t = 3*v + 1. Solve 0 = -t*l + 26*l + 66 for l. -3 Suppose 92*s = -4*s + 288. Suppose -4*n + 32 = 12. Solve s*y = n*y for y. 0 Suppose -6*g + 4*g = 4*x, 22 = 3*x - 4*g. Let v be (104/39)/(1/(-3)). Let l be 4/(-16) - 18/v. Solve x = -i - l for i. -4 Let d(y) = -4*y + 10. Suppose 2*z - 1 = 3*h - 3, 3*h - 14 = -4*z. Let t be d(h). Suppose c - 5 = -t*c - 2*g, 3*c + 1 = 4*g. Solve -5*v + c = -9 for v. 2 Suppose -2*t + 0 = 18. Let i = t + -18. Let q = i - -30. Solve k - 2 = q for k. 5 Let n = 3278 - 3266. Suppose -d = 3, 4*y + 4*d - 3*d - 161 = 0. Solve -n = -y*a + 44*a for a. -4 Let j(w) = 43*w + 1247. Let b be j(-29). Solve -18*k + 0*k - 54 = b for k. -3 Suppose 7*q = -45 + 66. Suppose 3*k + 8*c = q*c, 0 = -3*c. Solve k = -7*n + n + 18 for n. 3 Let f(d) = -7*d**2 - 4. Let w be f(2). Suppose -129 = -4*c + 3*z, -z - 14 = -c + 17. Let x = w + c. Solve x*j = 2*j for j. 0 Let g = 112 - 108. Let z be 4/12*(7 - -215). Let j = z - 74. Solve j = -g*b + 4 - 12 for b. -2 Let m(v) = -2*v**3 + 75*v**2 - 32*v - 162. Let o be m(37). Solve o*r = 31 + 38 for r. 3 Let l = -107 + 106. Let z be l/8 + (-42)/48 + 88. Let h = z - 76. Solve 0 = -5*j + 9 + h for j. 4 Suppose 7 = 2*m - 3*t, -33*m + 15 = -29*m - 5*t. Suppose -5*l - m = -5*f, 0 = 3*l - f - 3 - 4. Solve 3 = 5*w - l*w for w. 3 Let p = -58 - -85. Let b be ((-2)/(-3))/(3/p). Let s(j) = -j**2 + 7*j + 11. Let c be s(8). Solve -3 = -c*o + b for o. 3 Let i be 5*(-1)/(-14)*(3 - -11) - 1. Solve -i*o - o = 10 for o. -2 Let n(t) = 2*t - 92. Let u(g) = -4*g + 93. Let z(s) = -4*n(s) - 3*u(s). Let x be z(-21). Solve x*q = -q + q for q. 0 Let i(x) = -24*x**3 - 3*x**2 + 29*x + 32. Let p be i(-1). Solve p*s + 9*s = -99 for s. -3 Let s = 1671 + -1655. Solve -5*b - 11 = -s for b. 1 Suppose 4*m - 4*c = -9*c - 34, -4*m - 2*c = 28. Let r(t) = t**2 + 5*t - 6. Let x be r(m). Suppose -4*p + 17 - 5 = x. Solve -3*a = 6 + p for a. -3 Let r(z) = z**2 - z - 5. Let m be r(4). Let s = -128 - -132. Suppose 0 = s*u + 10 - 46. Solve u*w = m*w + 8 for w. 4 Suppose -2*c - 6 = t, c = t - 12 + 3. Solve t*k - 351 = -371 for k. -5 Suppose 7*y + 58 = -33. Let s(p) = p + 20. Let l be s(y). Solve 6*n + n = l for n. 1 Let g be (12/3)/((-14)/(-63)). Solve -74 + 146 = -g*r for r. -4 Let y = 5787 + -5785. Solve -2232 = -y*t - 2222 for t. 5 Let r = 136 - 117. Suppose 22*z - 21 = r*z. Solve -2 + z = -5*n for n. -1 Let q(t) = t**3 + 6*t**2 - 5*t + 16. Let d be q(-7). Let n be d*(-9)/6 - (-30 + 20). Solve -n*h = -h + 24 for h. -4 Let w(x) = 18*x**2 + 64*x + 45. Let a be w(-3). Solve 37*l - 19*l = a*l for l. 0 Let n = 74 + -62. Suppose 3*h + n = j - 9, h = 1. Suppose -17*m + 5*m + j = 0. Solve -m*z + 5*z + 15 = 0 for z. -5 Suppose -165 = -2823*s + 2818*s. Solve -s*v + 52 = -7*v for v. 2 Let y be -1*2 + 1 + 0 - -25. Suppose 2*t + 7 = -w, 0 = -w + 3*t - 6 + y. Solve -x = w*x - 12 for x. 3 Suppose 3*z - j - 23 - 32 = 0, -4*j = z - 14. Solve 60 = -7*g + z for g. -6 Suppose -j + 1 = 0, -i + 3 = 5*j - 6. Suppose i*a - 81 = 19*n - 18*n, -5*a + 5*n = -105. Solve 23*d + 9 = a*d for d. -3 Let a = -481 + 575. Let z = a + -83. Solve 36 = -z*b - 19 for b. -5 Let l(x) = x**3 + 6*x**2 - 17*x - 4. Let p = -46 + 38. Let m be l(p). Suppose 0 = -5*j + 25, 3*d + m*j - 36 = -d. Solve d*a = 2 + 2 for a. 1 Suppose -q - 4*v - 74 = -214, 0 = 4*v - 12. Solve -20*g + q = 68 for g. 3 Let j be (-4 - 1 - -19) + -2 + 2. Suppose 8*z + 456 = j*z. Let q = z - 73. Solve i - q + 1 = 0 for i. 2 Let v be -3*249/(-18)*-2. Let f = v - -93. Suppose 0 = 5*o + 15, 0 = 3*j - 0*j - 4*o - 48. Solve 10*k = j*k + f for k. -5 Suppose 2*o = 3*w - 790, -49*w + o = -44*w - 1312. Solve 36 = w*a - 268*a for a. -6 Suppose 0 = -51*a - 1271
{ "pile_set_name": "DM Mathematics" }
*2 + 3. Let u(o) = o**3 + o**2 + 1. What is -c(t) + 3*u(t)? -10*t**3 - 2*t**2 Let h(d) = -5*d - 4. Let z(s) = 4 + 1 - 58*s + 64*s. Let f = -15 - -10. What is f*h(n) - 4*z(n)? n Let u(i) = -3*i**3 - 3*i**2 - 5. Let b(z) = -4*z**2 - 6 + 17*z - 4*z**3 - 17*z. Determine 5*b(n) - 6*u(n). -2*n**3 - 2*n**2 Let g(f) = 0*f + f + f**2 + 0*f. Let i(h) = 2*h**2 + h. What is -5*g(a) + 3*i(a)? a**2 - 2*a Suppose a + 1 = 4. Let z be 3/(-1)*5/a. Let f(g) = -7*g**2 + 5*g - 5. Let o(p) = 6*p**2 - 4*p + 4. Determine z*o(x) - 4*f(x). -2*x**2 Let d(w) = -4*w + 5. Let v(t) = 11*t - 15. Give -7*d(h) - 2*v(h). 6*h - 5 Let g(b) = 39*b**3 - 5*b**2 - 5. Let d(n) = 118*n**3 - 16*n**2 - 16. What is 5*d(m) - 16*g(m)? -34*m**3 Let x(g) = -4*g - 2. Let p(j) = 7*j + 5. Give -3*p(d) - 5*x(d). -d - 5 Let f(l) = -3*l**2 + 4*l + 4. Let y(s) = -s**2 + s + 1. Let v(a) = -a + 20. Let m be v(15). What is m*f(h) - 20*y(h)? 5*h**2 Let q(l) = 5*l**2 + 9*l + 9. Let n = -5 + 0. Let u(o) = -5*o + 11 - 12 + 4*o. Let y be u(n). Let v(g) = g**2 + 2*g + 2. Calculate y*q(b) - 18*v(b). 2*b**2 Let q(k) = -k**2 - k - 1. Let y(l) = -14*l**2 - 12*l - 14. Let p = 32 + -20. Calculate p*q(s) - y(s). 2*s**2 + 2 Let l(h) = -2*h**2 - 5*h. Let a(f) = -3*f**2 - 9*f. Let c = -28 + 23. Determine c*l(k) + 3*a(k). k**2 - 2*k Let w = 22 + -25. Let o(h) = h**3 - 3*h + 2. Suppose -46 + 6 = 5*f. Let a(z) = -2*z**3 + 8*z - 6. Determine f*o(j) + w*a(j). -2*j**3 + 2 Let o(a) = 4*a. Let y(r) = -20*r + 15 - 15. Calculate -24*o(l) - 5*y(l). 4*l Let w(u) be the third derivative of u**6/30 + u**4/24 + 25*u**2. Let v(y) = 5*y**3 + 2*y. Give 5*v(r) - 6*w(r). r**3 + 4*r Let v(c) = -c - 2. Let t(h) = -h + 2. Let k be t(-4). Suppose m = -k + 11. Let r(q) = 3*q + 4. Let b(n) = -2*n - 2. Let x be b(-2). Determine m*v(i) + x*r(i). i - 2 Let m be (-4)/(-10) - (1 + (-96)/10). Let z(s) = 2*s. Let b(i) = -7*i + 1. Determine m*z(x) + 2*b(x). 4*x + 2 Let t(l) be the third derivative of 5*l**4/24 - 12*l**2. Let j(m) = 2*m. Calculate 7*j(i) - 3*t(i). -i Let r(t) = 5. Let v(c) = c - 15. Calculate 8*r(m) + 3*v(m). 3*m - 5 Let i(h) = 4*h + 3. Let q(x) be the second derivative of -x**3/6 - 13*x. Determine i(s) + 2*q(s). 2*s + 3 Let h(m) = -2*m**3 - 2*m**2 - 4*m - 1. Let q be (6/(-9))/((-8)/(-204)). Let z = -15 - q. Let b(f) = -2*f**3 - 3*f**2 - 5*f - 1. Determine z*b(u) - 3*h(u). 2*u**3 + 2*u + 1 Let o(i) = i**3 - i**2 - i. Let b(t) = -7*t**3 + 5*t**2 + 6*t - 1. Let w = -15 - -17. Let u = w - -4. What is u*o(y) + b(y)? -y**3 - y**2 - 1 Suppose 0 = -4*x - 5*q, x - 2*q - 33 = -4*x. Let l(g) = 7*g**2 - 5*g - 7. Let o(v) = 6*v**2 - 4*v - 6. Give x*l(c) - 6*o(c). -c**2 - c + 1 Let a(c) = -3*c**3 + c**2 + 2*c - 2. Let z(u) = -7*u**3 + 3*u**2 + 5*u - 5. Let p(h) = -4 + 3*h - 5*h + 3. Let y be p(-3). Give y*a(g) - 2*z(g). -g**3 - g**2 Let s(b) = b**2 - 5*b - 9. Let w be s(7). Let a(f) = -6. Let j(h) = -h - 11. Let n(p) = 7*a(p) - 4*j(p). Let m(v) = 7*v + 3. Calculate w*n(x) - 3*m(x). -x + 1 Let w(g) be the third derivative of -1/12*g**4 + 5*g**2 + 1/3*g**3 + 0 + 0*g. Let h(f) = f - 1. Give 3*h(b) + 2*w(b). -b + 1 Let v(r) be the first derivative of r**4/4 + r**3/3 - r**2/2 + r + 6. Let x(h) = 5*h**3 + 2*h**2 - 6*h + 4. Give 4*v(q) - x(q). -q**3 + 2*q**2 + 2*q Let c(n) = -2. Let s(i) = i + 3. Suppose -7 = 5*t - 37. Calculate t*c(v) + 4*s(v). 4*v Suppose -5*p - 4*m + 48 = 0, -8*p + 4*m = -3*p - 32. Suppose 0 + p = 2*q. Let f(j) = 5 - 2 - q. Let a(h) = -h + 4. What is a(z) + 5*f(z)? -z - 1 Let j(q) = -2*q**2 + 2*q. Suppose -20 = -2*o - 3*o. Suppose 0 = -0*g - o*g + 4. Let u(a) = -1. Calculate g*j(b) + 2*u(b). -2*b**2 + 2*b - 2 Suppose 0 = -2*n + 4*n - 2*v - 2, n - 16 = -4*v. Let g(l) = 2 + n*l - 3*l**2 + 6 + 0*l**2 - l**2. Let y(t) = 5*t**2 - 5*t - 9. What is 7*g(s) + 6*y(s)? 2*s**2 - 2*s + 2 Let f be (-18)/21*(-49)/(-7). Let a(t) = -t**3 - t**2. Let s(x) = 7*x**3 + 4*x**2 + 1. Give f*a(y) - s(y). -y**3 + 2*y**2 - 1 Let g(n) = -3*n**2 - 3*n + 3. Let f(o) = -o + 1. What is 3*f(i) - g(i)? 3*i**2 Suppose -6 = 4*n - 3*l + 6, -n = -3*l + 3. Let z(w) = -w + 4. Let d(a) = 3. What is n*d(f) + 2*z(f)? -2*f - 1 Let z(o) = 1. Let t = 1 - 2. Let g be (3/6)/(t/(-2)). Let m(x) = -g + 5 + 0*x + x. Determine 2*m(y) - 6*z(y). 2*y + 2 Let p(w) = w**3 - 1. Suppose 9*d + 30 = 3*d. Let u(z) = -2*z**3 + 1. Determine d*p(k) - 2*u(k). -k**3 + 3 Suppose 3 = -0*k - k. Let f(u) = 224 + 219 + 2*u - 449. Let h(b) = 3*b - 11. Give k*h(j) + 5*f(j). j + 3 Let g(f) = -6*f**2 + 7*f. Let u(p) = 5*p**2 - 6*p. Let y(l) = 6*g(l) + 7*u(l). Let a(k) = 2*k**2. Calculate -3*a(z) - 7*y(z). z**2 Let c(h) = -h + 5. Let k be c(6). Let q(j) = 6*j**2 - 5*j. Let o(b) = b**2 - b. Suppose 8*d - 30 = 10. Calculate d*o(u) + k*q(u). -u**2 Suppose -2*z + 5*k - 47 = 0, 4*z + 6*k - 2*k = -24. Let m(l) = -9*l**2. Let n(w) = 5*w**2. Calculate z*n(v) - 6*m(v). -v**2 Let n(v) = -2*v**3 + v + 17. Let q(p) = 3*p**3 - p - 33. Calculate 5*n(z) + 3*q(z). -z**3 + 2*z - 14 Let r(j) = j**2 + 7*j - 7. Let x(f) = 4 - 4 - 1 - 1 + 2*f. Determine -2*r(n) + 7*x(n). -2*n**2 Let n be (-3 - 40/(-12))*12. Let g(j) = 13*j**3 + 9*j**2 + 5. Let c(s) = -3*s**3 - 2*s**2 - 1. What is n*g(h) + 18*c(h)? -2*h**3 + 2 Let h be (-4)/8*(-4)/3. Let b(i) be the first derivative of -h*i**3 - 2*i**2 + 4*i + 4. Let l(x) = x**2 + x - 1. What is -b(y) - 4*l(y)? -2*y**2 Let u be 2 + (-2 - -1) + 3. Let y(p) = -2*p**2 - 3*p**3 + u*p**3 + 1 + 3*p**2. Let l be (-7 + 2)*(-4)/(-10). Let j(b) = -b**2 - b - 1. What is l*y(c) - 2*j(c)? -2*c**3 + 2*c Let h(v) = -11*v + 5. Suppose 4 = -2*i + 6*i. Let z(l) = -4*l - 1 + 4 + 0 - i. Determine -3*h(t) + 8*z(t). t + 1 Let h(b) = -b - 3. Suppose c = 5*z - 13, -2*c + 6*c = 3*z + 16. Let o(u) = u + 4. What is c*h(j) + 6*o(j)? -j + 3 Let l(v) = 9*v - 4. Let p(h) = 17*h - 8. Calculate 11*l(y) - 6*p(y). -3*y + 4 Let f(t) = t**2 + 3*t - 2. Let i(v) = -5 + 3 - v + 3. Suppose 0 = -s - 1 - 1. What is s*i(o) - f(o)? -o**2 - o Let y(u) = 11*u - 4. Let t(q) = 4*q**2 + q - 1. Let b be t(-2). Let z(o) be the second derivative of -5*o**3/6 + o**2 + 4*o. Calculate b*z(x) + 6*y(x). x + 2 Let t(w) = 161*w**2 + 5*w - 5. Let p(d) = 10707*d**2 + 332*d - 332. Determine 5*p(v) - 332*t(v). 83*v**2 Let p(h) = 2*h - 4. Let f(v) = -v + 2. Suppose 5*n - 7 = 5*w + 3, 2*w = -2*n. Suppose k - 5*r - 1 = -6*r, 2*k + 5*r = -n. What is k*p(m) + 5*f(m)? -m + 2 Let s = -2 - -12. Let x(r) = -r + s - 1 - 9. Let f(t) = t**3 - t**2 + 4*t. What is -f(p) - 2*x(p)? -p**3 + p**2 - 2*p Let z(k) = -3*k**2 + 3*k. Let d(c) = -3*c**2 + 4*c. Give -4*d(h) + 5*z(h). -3*h**2 - h Let w(u) be the first derivative of -2*u**3/3 + u**2 - 2*u + 3. Let m(l) = 4*l**2 - 5*l + 5. What is -2*m(v) - 5*w(v)? 2*v**2 Let c(v) = -18*v**3 - 39*v**2 - 39*v - 39. Let l(u) = u**3 + 2*u**2 + 2*u + 2. Give 6*c(g) + 117*l(g). 9*g**3 Let p(i) = -i - 1. Let d(s) be the second derivative of -7*s**3/6 - 2*s**2 + 11*s. Give -d(v) + 4*p(v). 3*v Let p(l) = 6*l + 14. Let d(g) = 5*g - 5. Let r(u) = 4*u - 5. Let v(x) = 6*d(x) - 7*r(x). Determine 4*p(o) - 11*v(o). 2*o + 1 Let w(k) = -k - 4. Let s(z) = 3*z + 13. Determine 2*s(h) + 7*w(h). -h - 2 Let b(z) = -z**2 - z. Let i(g) = -22*g**3 + 4*g**2 + 4*g. Give 4*b(v) + i(v). -22*v**3 Let v(r) = -r**2 - 1. Let q be 2/(-6) + (-26)/(-6). Let w(o) = 3*o**2 - 2*o + 2. Determine q*v(n) + w(n). -n**2 - 2*n - 2 Let a(d) = -5*d**2 - 2*d. Let q(b) = 1. Let k(i) = a(i) + 2*q(i). Let c(p) = -14*p**2 - 5*p + 5. Calculate -3*c(h) + 8*k(h). 2*h**2 - h + 1 Let t(s) = -6*s**2 + 9*s - 9. Let d(r) be the first derivative of -r**3 + 2*r**2 - 4*r + 9. What is -9*d(z) + 4*t(z)? 3*z**2 Let o(m) = -9*m**2 + 6*m - 10. Let v(b) = -10*b**2 + 7*b - 11. Give -7*o(y) + 6*v(y). 3*y**2 + 4 Let t(v) be the second derivative of -2*v**3/3 + 3*v**2 - 7*v. Let p(r) = 2*r - 3. Determine -7*p(q) - 3*t(q). -2*q + 3 Let v(c) = -c**3 + 5*c**2 - 11*c + 5. Let f(g) = g**3 - 8*g**2 + 17*g - 8. Give -5*f(t) - 8*v(t). 3*t**3 + 3*t Let z(s) = s**2 + s. Let j(t) be the third derivative of t**5/20 + t**4/12 + t**3/6 - 15*t**2. Give -j(o) + z(o). -2*o**2 - o - 1 Let g(f) = -3*f - 4. Let v(y) = -10*y - 12. Give -8*g(a) + 3*v(a). -6*a - 4 Let c(m) = -m. Let d = -5 + 8. Let l be ((-3)/(-9))/(2/6). Suppose 2*k = d*k + l. Let w(n) = -n**2 + 3*n + 1. What is k*w(q) - 3*c(q)? q**2 - 1 Let r(a) = 5*a**2 + 4*a +
{ "pile_set_name": "DM Mathematics" }
or of 8848 and 134540. 28 Calculate the greatest common factor of 116595620 and 67652. 5204 Calculate the highest common divisor of 293148 and 187884. 612 What is the greatest common factor of 5559207 and 94? 47 Calculate the greatest common factor of 209479384 and 3320. 664 What is the greatest common factor of 982291016 and 8120? 1624 Calculate the greatest common divisor of 48916723 and 236. 59 Calculate the highest common divisor of 473211 and 4. 1 What is the highest common divisor of 86420 and 602910? 290 What is the highest common factor of 8397 and 16001883? 2799 Calculate the highest common divisor of 5332776 and 120. 24 Calculate the greatest common factor of 77726726 and 1070. 214 Calculate the highest common factor of 987317 and 13. 1 Calculate the highest common factor of 1696898 and 455182. 854 What is the greatest common factor of 7146670 and 71390? 590 Calculate the greatest common divisor of 388278 and 8162. 1166 What is the greatest common divisor of 80100 and 13293396? 3204 What is the highest common factor of 1027932 and 5892? 12 Calculate the greatest common divisor of 25785 and 40003995. 2865 What is the highest common factor of 182 and 9321468? 26 Calculate the greatest common factor of 14442 and 14210. 58 What is the highest common factor of 101409 and 701961? 1317 Calculate the highest common factor of 3280 and 4421850. 410 Calculate the highest common factor of 916168 and 5742. 638 What is the greatest common divisor of 12 and 39123796? 4 Calculate the highest common divisor of 614975 and 17000. 425 Calculate the highest common divisor of 2328 and 29046747. 291 Calculate the highest common divisor of 164000 and 52014650. 2050 Calculate the greatest common factor of 320 and 3319830. 10 Calculate the greatest common divisor of 5319 and 167373. 27 What is the highest common factor of 5564296 and 1? 1 What is the highest common divisor of 8 and 134125104? 8 Calculate the greatest common divisor of 4891958896 and 88. 88 Calculate the highest common factor of 14856562 and 3616. 226 What is the greatest common factor of 129376478 and 2198? 2198 Calculate the highest common factor of 14605 and 2913761. 127 What is the greatest common factor of 1064 and 4761960? 56 Calculate the highest common divisor of 596 and 895639. 149 Calculate the highest common factor of 152977321 and 7. 7 Calculate the greatest common divisor of 234 and 41219958. 78 What is the greatest common divisor of 182 and 87892922? 26 What is the greatest common divisor of 11639130 and 30? 30 Calculate the highest common factor of 819070 and 3290. 70 What is the highest common factor of 127 and 639959? 1 Calculate the highest common divisor of 44668772 and 152. 76 Calculate the highest common factor of 672 and 78622992. 336 What is the highest common factor of 14 and 36804229? 7 What is the highest common factor of 15 and 146562705? 15 Calculate the highest common divisor of 848235 and 48. 3 Calculate the greatest common factor of 21098154 and 1540. 154 What is the greatest common divisor of 282764 and 2349604? 1268 What is the highest common divisor of 1193600 and 5450? 50 Calculate the highest common divisor of 18871 and 66299. 167 What is the highest common divisor of 448 and 233554? 2 Calculate the highest common factor of 12710 and 42635695. 6355 Calculate the highest common divisor of 546 and 46566429. 273 Calculate the highest common factor of 14800 and 66094950. 1850 What is the highest common divisor of 94851 and 4446? 9 Calculate the highest common divisor of 11031417 and 20304. 1269 Calculate the highest common factor of 12718448 and 1569476. 8132 What is the greatest common divisor of 15 and 48838005? 15 What is the greatest common factor of 2486904 and 1806? 42 Calculate the greatest common factor of 48498394 and 434. 14 Calculate the highest common factor of 449388 and 784458. 3942 What is the highest common factor of 69306516 and 10096? 2524 What is the highest common factor of 42 and 21943716? 6 Calculate the highest common factor of 763320 and 456. 24 Calculate the highest common factor of 2009179 and 1028065. 1619 Calculate the greatest common factor of 40930526 and 3094. 3094 Calculate the highest common divisor of 1363221 and 18. 9 What is the highest common divisor of 7146 and 131778? 18 Calculate the highest common divisor of 189878034 and 3918. 3918 Calculate the greatest common factor of 124136 and 46138. 118 What is the highest common factor of 6097315 and 148225? 245 Calculate the highest common factor of 446760 and 847620. 3060 What is the greatest common factor of 414248 and 12084? 212 Calculate the highest common divisor of 8721460 and 27840. 580 Calculate the greatest common divisor of 288208 and 20400. 16 Calculate the greatest common divisor of 36 and 94668012. 36 What is the highest common factor of 1972 and 84821636? 1972 Calculate the greatest common divisor of 108 and 1364572. 4 What is the highest common factor of 8209862 and 137? 137 What is the greatest common factor of 104 and 13036036? 52 What is the highest common factor of 245163 and 1325499? 213 Calculate the greatest common divisor of 127982811 and 33. 33 Calculate the greatest common divisor of 835587 and 703071. 3681 Calculate the highest common factor of 13811592 and 132936. 4584 What is the greatest common divisor of 237552 and 57848? 56 What is the highest common divisor of 17936 and 2105238? 2242 Calculate the highest common factor of 1278795 and 373065. 1995 What is the greatest common divisor of 45050502 and 6? 6 What is the greatest common divisor of 18879176 and 1184? 296 Calculate the greatest common divisor of 1739061 and 118803. 597 What is the highest common divisor of 5431503 and 15? 3 Calculate the greatest common divisor of 135 and 1182087. 27 Calculate the greatest common factor of 8120 and 10480484. 812 Calculate the greatest common divisor of 7581 and 8730785. 2527 Calculate the greatest common divisor of 550697142 and 183. 183 Calculate the greatest common factor of 391 and 195593449. 391 What is the greatest common divisor of 2270528 and 45760? 832 Calculate the highest common factor of 17166008 and 1723022. 10702 What is the greatest common divisor of 133 and 2778181? 7 Calculate the greatest common factor of 1395 and 63344160. 1395 Calculate the highest common divisor of 2194977 and 6372. 177 Calculate the greatest common factor of 141346 and 153990. 58 Calculate the greatest common divisor of 510 and 6370665. 255 Calculate the greatest common factor of 14 and 2366017. 1 What is the greatest common divisor of 166528372 and 1784? 892 What is the highest common divisor of 336 and 35627676? 84 Calculate the highest common divisor of 3349216 and 18260. 332 What is the greatest common factor of 12776 and 480? 8 Calculate the highest common factor of 474 and 5892. 6 Calculate the greatest common factor of 30744 and 3475458. 126 Calculate the greatest common divisor of 1057518 and 1144. 22 What is the greatest common divisor of 1676 and 913125024? 1676 Calculate the highest common divisor of 111724942 and 14. 14 Calculate the greatest common factor of 370487 and 13. 13 What is the highest common factor of 2338085 and 20? 5 What is the greatest common divisor of 15865 and 33082700? 835 Calculate the highest common factor of 3402971 and 1197482. 7579 What is the highest common factor of 472 and 342392? 8 Calculate the highest common factor of 24108 and 188412. 84 Calculate the greatest common factor of 687810 and 34340. 1010 Calculate the greatest common factor of 60 and 286215. 15 Calculate the highest common divisor of 3915 and 18711351. 783 Calculate the greatest common factor of 264297270 and 85745. 7795 What is the highest common divisor of 18030459 and 433527? 7107 What is the highest common factor of 293300 and 21140? 140 Calculate the highest common factor of 129636 and 1979172. 468 What is the highest common divisor of 145 and 204378341? 29 Calculate the greatest common factor of 5583839575 and 25. 25 Calculate the greatest common divisor of 501382 and 1431913. 4249 Calculate the highest common factor of 26 and 679078. 2 What is the greatest common divisor of 1474 and 50271507? 737 What is the highest common divisor of 1224 and 30068784?
{ "pile_set_name": "DM Mathematics" }
-133. Let f = 81 - l. Suppose 5*w - f = 23. Calculate the highest common divisor of w and 2. 2 Suppose -3*t + g = 1, 0 = -2*g - 2*g + 4. Suppose 2*z + 36 = h - 30, t = z + 1. Calculate the highest common divisor of 16 and h. 16 Let n be (1 - -3)/(2 + 0). Suppose 3*p = n*t + 13 - 5, -3*t + 3*p - 6 = 0. What is the highest common divisor of t and 1? 1 Suppose 0*f = -5*f. Let s be (f + 0)/(4 - 3). Let o be 0 + (1 - s) - -11. Calculate the greatest common factor of 108 and o. 12 Let t(m) = -m**2 - 6*m - 4. Let a be t(-3). Suppose 7*w + 52 = 2*w + h, -4*w + a*h = 29. Let d = w - -15. Calculate the greatest common factor of 6 and d. 2 Let i = 460 - 251. What is the highest common divisor of i and 19? 19 Suppose 2*f - 4 = 0, -23 - 20 = -3*c + f. Calculate the greatest common divisor of c and 15. 15 Let l be (2/(-4))/((-2)/8). Let h = 4 - l. Suppose h*p = 33 + 7. Calculate the highest common divisor of 30 and p. 10 Let w(s) be the first derivative of 4*s**2 + 4*s + 4. Let a be w(3). Let f = -20 + a. Calculate the highest common factor of 16 and f. 8 Suppose 7*m - 29 = 4*m - 2*h, 50 = 5*m + 5*h. Suppose 10*j - m*j = 18. Let u be (1 + 0)/((-1)/(-6)). Calculate the greatest common factor of j and u. 6 Let a be (-4)/12 - 2/(-6). Suppose a = t + 3*f - 15, -4*t = -t + 4*f - 25. Let d(y) = 2*y - 1. Let k be d(t). What is the greatest common divisor of 20 and k? 5 Suppose -t = 4*a - 2*a - 18, 0 = 5*a - 4*t - 19. Let p = -2 + 4. Let u = a + p. What is the highest common factor of u and 1? 1 Suppose -113 = -5*c - k + 95, k + 2 = 0. Suppose -8 + 3 = 5*m, 5*r = -4*m + 6. Let l be 0 - (-26 - r/1). Calculate the highest common factor of c and l. 14 Let y(f) = -f**3 - 16*f**2 + 16*f - 1. Let p be y(-17). Calculate the highest common factor of 144 and p. 16 Suppose 16*r - 24*r + 224 = 0. What is the highest common factor of 21 and r? 7 Let w = 212 - 122. Let x(v) = -1. Let b(f) = f - 2. Let z(d) = -4*b(d) + 14*x(d). Let j be z(-4). Calculate the greatest common divisor of w and j. 10 Let a be (-1 - -7)*14/6. Let u be 2 + (-3)/(6/4). Suppose 2*f - 4*v = 152, -5*v = -f - u*v + 85. What is the greatest common factor of f and a? 14 Suppose 7*k - 223 = 57. What is the highest common divisor of k and 10? 10 Let d(s) = -s**2 + 12*s - 1. Let i be d(6). Calculate the highest common factor of 35 and i. 35 Suppose -8 - 6 = i. Let j be 298/14 + 4/i. Suppose -5*s + n + 839 = 0, 3*n + 0 - 3 = 0. Calculate the highest common divisor of j and s. 21 Suppose 8 + 1 = -3*j. Let a be j/(9/12) - -1. Let v = a + 4. Calculate the greatest common factor of v and 1. 1 Let x(a) = -6*a - 62. Let o be x(-12). What is the greatest common factor of o and 55? 5 Let d(i) = i**2 - 22*i + 32. Let o be d(21). What is the greatest common divisor of 176 and o? 11 Suppose -a = -3*q - 3*a + 759, -5*q - 2*a = -1265. Calculate the greatest common factor of q and 23. 23 Let j(w) = w**3 - w**2 + 7*w + 9. Let c be j(6). What is the greatest common divisor of c and 21? 21 Suppose -25 = -4*z - 4*y + 27, 4*y + 74 = 5*z. What is the highest common divisor of 112 and z? 14 Suppose 2*d = c - 18, 5*c = -4*d + 80 - 4. Let y = 96 - 64. What is the greatest common divisor of y and c? 16 Let g be 63*(1 + 0/4). Let a = g + -18. Calculate the highest common divisor of a and 18. 9 Suppose -14 = -c + p - 0*p, 3*c - p = 34. What is the highest common factor of 6 and c? 2 Suppose -2*o + 2*b = 4*b, -4*b = 2*o + 10. Suppose -3*s - o*f = s - 224, -5*f = -4*s + 224. Calculate the greatest common divisor of s and 7. 7 Let r(o) = -o**3 + 6*o**2 - 2*o + 6. Let m be r(6). Let p be (102/2)/((-9)/m). Calculate the greatest common factor of p and 17. 17 Let t(d) = d - 1. Let f be t(3). Suppose 3*k + 32 = -f*i - 3*i, k + 8 = -i. Let z be (-64)/(-4)*(-2)/k. What is the greatest common factor of z and 4? 4 Let p be 7/((-21)/(-324))*(-5)/(-10). Calculate the greatest common factor of 594 and p. 54 Suppose 0 = -4*r + x - 4 + 1, -2*x = -6. Let m(u) = -u**2 - u + 12. Let j be m(r). What is the highest common divisor of 24 and j? 12 Suppose -4*y + 57 + 15 = 0. What is the highest common divisor of 72 and y? 18 Suppose -23*w = -16*w - 665. Calculate the greatest common factor of 5 and w. 5 Let k(n) = n + 9. Let j be k(-6). Suppose -j*h + 24 = h. What is the greatest common divisor of h and 30? 6 Suppose -2*g + 4*p + 142 = 0, 0 = -p + 2. Let w be ((-330)/99)/(4/(-90)*3). What is the highest common divisor of g and w? 25 Let v(p) = p**3 - 5*p**2 - 4*p - 5. Let u be v(6). Let k = 8 + -7. What is the greatest common factor of k and u? 1 Let d(p) = -p**2 - 9*p + 7. Suppose 3*j + 26 = 5. Let r be d(j). Calculate the greatest common factor of 42 and r. 21 Let x be ((-1)/(-2))/(4/40). Suppose -a - 6 = -3*a - 4*y, -x*a = -3*y - 28. Suppose 54 = a*g + 9. Calculate the greatest common divisor of 18 and g. 9 Let f be 33 + -2 + 8/(-4). What is the greatest common factor of f and 145? 29 Let y(a) = -a**2 + 6*a + 3. Let l be y(6). Suppose -5*w - 5*p + 23 = -12, 45 = 5*w + l*p. Calculate the highest common divisor of w and 18. 6 Suppose -q + 2*q - 36 = 0. Suppose -4*p + 2*p = -8. Calculate the highest common divisor of p and q. 4 Suppose -2*u = r + u - 87, -4*r = u - 315. Suppose -8 = -2*m + 4. Suppose -m*n = -3*n - r. What is the greatest common divisor of 13 and n? 13 Suppose -k = -2*o - 4, -o + 4 = 3*o. Suppose -2*y - k = -5*y. Calculate the greatest common divisor of y and 4. 2 Let j(z) = -z**3 - 5*z**2 - 4*z + 2. Let m be j(-5). Let r = -9 - -8. Let p be 2 + (1 + r)/(-2). Calculate the greatest common divisor of p and m. 2 Let s = 59 - 27. What is the highest common factor of 4 and s? 4 Let u(g) = -g - 1. Let q(w) = -3*w + 1. Let t(v) = -q(v) + 4*u(v). Let p be t(-8). Calculate the highest common factor of 24 and p. 3 Suppose -3*l = -5*z + 7, -l + 2 = -5*z + 1. Let r be z/2 + (-102)/(-4). Calculate the greatest common factor of 5 and r. 5 Let y = 20 + -38. Let b be (12/(-10))/(y/60). Let d = -2 + b. Calculate the greatest common divisor of 16 and d. 2 Suppose -211 - 74 = -5*x - 5*f, 0 = -4*x - 2*f + 226. What is the greatest common divisor of x and 140? 28 Let r(y) = -y**2 + y. Let n(z) = 4*z**2 - 5*z + 70. Let m(o) = n(o) + 5*r(o). Let p be m(0). What is the greatest common factor of 7 and p? 7 Let l(m) = -m**2 - 6*m + 9. Let q be l(-7). Let z(b) = -q - b + 5 + 3. Let o be z(-8). Calculate the highest common divisor of 2 and o. 2 Let t(f) = -f + 10. Let v be t(-8). Let n be 189/14*(-4)/(-6). Let c(j) = 3*j**2 - 4*j - 9. Let m be c(n). What is the greatest common divisor of v and m? 18 Suppose -n - 3*n + 44 = -2*p, 2*n + 50 = -5*p. Let o = -5 - p. Suppose 0*w + 3*w + 2 = 5*u, 4*u - 4*w = 0. What is the highest common divisor of u and o? 1 Suppose 4*n - l = 25, -17 = -3*n - 3*l + 13. What is the greatest common factor of n and 2? 1 Let f(n) = 3*n**2 - n + 6. Let m(b) = 9*b**2 - 4*b + 18. Let l(k) = -17*f(k) + 6*m(k). Let q be l(4). Calculate the highest common factor of 13 and q. 13 Suppose -b = 2*d + 4*b + 21, -5*b + 87 = -4*d. Let y = d + 23. Calculate the greatest common divisor of 20 and y. 5 Let u(h) = 7*h + 7*h - 5*h + h**2 - 2*h**2 - 6. Let r be u(7). What is the greatest common divisor of 1 and r? 1 Let l be 15/10*136/6. What is the highest common divisor of l and 51? 17 Suppose -2*v = -4*j, 6*v - 5*j = 5*v - 6. Suppose 19 - v = 5*m. Let k be 1/(2/18*m). What is the highest common divisor of k and 3? 3 Let o(c) = c**2 + c + 5. Let v be o(-6). Suppose 2*h - 1 = 3. Suppose 2*a - k = h*k + 13, 38 = 2*a + 2*k. Calculate the highest common divisor of a and v. 7 Suppose -c = 13*c - 336. Calculate the highest common factor of 72 and c. 24 Suppose 3*u = 4 + 2, -c - u + 5 = 0. Suppose -3*w + 504 - 80 = 2*p, -c*p = w - 132. Calculate the highest common factor of 36 and w. 36 Suppose 0 = -b + 3*b - 6, -4*b - 8 = -4*k. Suppose k*d - 9 = 1, 4*d = -2*a + 60. Calculate the highest common factor of 286 and a. 26 Suppose 4*i = -4*r - 0*i + 100, -3*r + 3*i + 75 = 0. Suppose 0 = 5*s - 3*s - 550. What is the greatest common divisor of s and r? 25 Let a be ((-5)/4)/((-1)/(-4)). Let s be (-1 - a)*(-3)/(-6). Calculate the highest common divisor of 1 and s. 1 Let w(x) = x**3 - 6*x**2 + 3*x + 10. Let o be w(5). Let l be (-1118)/(-13) + (-1 - o). What is the highest comm
{ "pile_set_name": "DM Mathematics" }
- 22/3*z**v. What is the second derivative of i(t) wrt t? -44 Let m(n) be the second derivative of 177*n + 21/20*n**5 - 53/2*n**2 + 0*n**4 + 0 + 1/2*n**3. Find the first derivative of m(i) wrt i. 63*i**2 + 3 Find the first derivative of -478*c + 767*c + 688 + 1241*c + 1188*c + 1336*c wrt c. 4054 Suppose -7*o + 11*o = -x - 32, -5*o = -3*x - 62. Let z be 32/x*-15 + (1 - -1). Differentiate -36*i**3 - 104*i**2 + 104*i**2 + z with respect to i. -108*i**2 Let n(x) be the third derivative of -1261*x**4/12 + 1102*x**3/3 + 1990*x**2. What is the derivative of n(b) wrt b? -2522 Let w(d) = d**3 + 11*d**2 + 17*d - 6. Let v be w(-9). Differentiate 18 - 529*p**3 + 1045*p**v - 529*p**3 wrt p. -39*p**2 Find the third derivative of 305*q**6 - 592*q**6 + 296*q**6 + 4*q**4 + 2269*q**2 wrt q. 1080*q**3 + 96*q Let t(z) be the second derivative of -z**5/4 + z**4/12 - 11*z**3/6 + 468*z**2 + 1061*z + 4. What is the derivative of t(f) wrt f? -15*f**2 + 2*f - 11 Suppose 2*w = -u + 13, 2*u + 5*w - 11 = 4*w. What is the second derivative of -55*y**5 - 91*y - 110*y**3 + 54*y**u + 3*y**4 + 56*y**3 wrt y? -1100*y**3 + 36*y**2 Let m(p) = -2744*p**2 + 11489*p + 66. Let c(l) = -2744*l**2 + 11489*l + 55. Let s(o) = -6*c(o) + 5*m(o). What is the second derivative of s(j) wrt j? 5488 Let f(h) be the second derivative of 208*h**7/7 + 503*h**3/2 + 58*h. What is the second derivative of f(r) wrt r? 24960*r**3 Let k(u) be the first derivative of -u**6/3 - 641*u**4 + 7615*u**3/3 + 2362. What is the third derivative of k(g) wrt g? -120*g**2 - 15384 What is the third derivative of 22*j - 2035*j**5 + 18*j - 52*j + 72*j - 2*j**2 + 40*j wrt j? -122100*j**2 Let d(f) be the second derivative of 3/2*f**3 - 7/12*f**4 - 85*f + 0 - f**2. What is the second derivative of d(w) wrt w? -14 Suppose 7 = 5*x + 4*g - 3*g, 0 = -4*g + 8. What is the second derivative of 296*j + 81*j**5 - 122*j + j**3 - 1 - 3*j**3 + x wrt j? 1620*j**3 - 12*j Let c = 17 - 15. What is the third derivative of o + 94*o**5 + 42*o + 48*o**5 + c*o**2 wrt o? 8520*o**2 Let a(r) be the first derivative of -3*r**5/4 - r**4/6 - 57*r**2/2 - 65*r + 15. Let u(j) be the first derivative of a(j). Differentiate u(m) wrt m. -45*m**2 - 4*m Let v(m) = 6*m - 45. Let z be v(8). What is the second derivative of -3*a - 5*a + 4*a + 92*a**z wrt a? 552*a What is the derivative of -353*t**3 - 2*t**4 + 2407 + 65*t + 18*t - 83*t wrt t? -8*t**3 - 1059*t**2 Let n = 357 - 355. Find the second derivative of 2*z - 8*z**2 + 2*z**3 + 84 + 30*z**2 - 7*z**n - 8*z**2 wrt z. 12*z + 14 Let d = 98 - 95. Suppose 3 = 5*p - 4*z + 1, 5*p + z = 12. Differentiate 2*b**2 - 8*b**d + 21 - 14*b**3 - 2*b**p wrt b. -66*b**2 Find the second derivative of 844*s + 1935*s**2 + 104957 - 104961 + 4422*s**2 wrt s. 12714 Let t(o) = o**2. Let b = 158 + -159. Let i(n) = 27*n**2 + 9*n - 2. Let u(q) = b*i(q) + 4*t(q). What is the second derivative of u(c) wrt c? -46 Let n(t) = 4922*t + 870. Let z(l) = 20*l + 1. Let c(v) = n(v) + 8*z(v). Find the first derivative of c(o) wrt o. 5082 Differentiate 836 + 423*q**3 - 158*q**3 + 912*q**3 wrt q. 3531*q**2 Let i(u) be the first derivative of -2/5*u**5 - 23*u**3 + 0*u**2 + 5/2*u**4 - 90 + 0*u. Find the third derivative of i(z) wrt z. -48*z + 60 Find the second derivative of 6804*m + 118783*m**3 + 18*m**2 - 118669*m**3 - 3*m**2 wrt m. 684*m + 30 Differentiate 1205*y + 5794 - 6200 - 304*y with respect to y. 901 Suppose 1104*r - 1105*r = -22. What is the first derivative of r*v - 16 - 32 + 7 - 27*v wrt v? -5 What is the third derivative of -139*w**3 - 5*w - 29*w**2 - 370*w**3 - 3153*w**3 + 153*w**3 wrt w? -21054 Suppose 353 = 11*j + 45. Let b = j - 26. Find the second derivative of -2438*x**b + 6*x + 17*x**3 + 2438*x**2 wrt x. 102*x Let n = 22 - 24. Let l be (7*-1)/((-9)/3 - n). Differentiate 8 + 7 - 30*u + 3 - l with respect to u. -30 Suppose 0 = 2*x - 60 + 22. Let z be 7*(7 - (-90)/(-21)). Find the second derivative of -z + 14*a**2 + x*a + 19 wrt a. 28 Let t(r) = -22*r - 3. Let y be t(1). Let p be y/(-10)*(-8)/(-10). Find the third derivative of -9*j**p - 3135*j + 3135*j + 42*j**5 wrt j. 2520*j**2 Let l(p) = 446*p**3 - 6*p**2 - 37*p + 3881. Let o(g) = -64*g**3 + g**2 + 5*g - 554. Let u(w) = -3*l(w) - 22*o(w). Find the second derivative of u(a) wrt a. 420*a - 8 Let y(v) be the first derivative of 14 + 0*v - 16*v**3 - 61/4*v**4 + 0*v**2. Find the third derivative of y(l) wrt l. -366 Let a be (-1)/5*40/(-4). What is the derivative of 128*h**3 - 4*h**4 - 128*h**3 + 37 - a*h**2 + 4*h**2 wrt h? -16*h**3 + 4*h Let g be ((-1776)/48)/(((-5)/(-6))/(-5)). Suppose -675 = -g*a + 217*a. Find the second derivative of -24*y - 135 - 42*y**3 + a wrt y. -252*y Differentiate 4007 + 244*s - 76*s - 84*s + 659*s**2 - 82*s with respect to s. 1318*s + 2 What is the derivative of -3736*w**2 + 3736*w**2 + 4922 - 7995*w**3 wrt w? -23985*w**2 Let o(i) be the third derivative of -31*i**5/4 - 1229*i**3 - 23*i**2 - 2*i + 10. What is the derivative of o(f) wrt f? -930*f Suppose -39 = -6*m + 165. Let f(s) = 5*s**2 - 2*s - 6. Let t be f(3). Find the first derivative of -11*z**3 + 17 - m*z + 67*z - t*z wrt z. -33*z**2 Find the second derivative of -2995*k**5 + 381*k**3 - 2*k + 1508 + 968 - 381*k**3 - 471 wrt k. -59900*k**3 Let v(o) = 8*o**2 - 2*o - 97. Let z be 4 - 8 - 2*-3. Let b(r) = 8*r**2 - 2*r - 95. Let u(h) = z*v(h) - 3*b(h). Differentiate u(x) wrt x. -16*x + 2 Let c(x) = -7301*x**3 + 9*x**2 + 4*x - 372. Let p(n) = 7300*n**3 - 11*n**2 - 5*n + 376. Let k(f) = -5*c(f) - 4*p(f). What is the third derivative of k(o) wrt o? 43830 What is the second derivative of -982*r - 105*r**3 + 52*r**3 - 1962*r - 10*r**2 + 99*r**2 + 54*r**3 wrt r? 6*r + 178 Find the second derivative of 421*r**3 + 0 + 2786*r + 0 - 425*r**3 - 316*r**5 wrt r. -6320*r**3 - 24*r Find the first derivative of 686*s - 686*s + 1277*s**3 - 553 - 658 + 98 wrt s. 3831*s**2 Suppose -4*u + 4*s = -56, 5*u + 14*s - 38 = 11*s. Suppose -u*b + 88 = 8. What is the third derivative of -8 - 4*j**5 + b - 40*j**2 wrt j? -240*j**2 Let m(t) = -304*t**4 - 2*t**2 + 2*t + 209. Let a(l) = -l**4 + 2*l**2 - 2*l. Let f(p) = -3*a(p) - 3*m(p). Find the first derivative of f(w) wrt w. 3660*w**3 What is the third derivative of 548*p**6 - 225*p**6 + 1510*p**6 + 339*p**2 + 625*p**6 - 4*p wrt p? 294960*p**3 Let c be (6 - 1)/(-5)*6*-7. Let t be 12/c - (-36)/21. What is the second derivative of 25*g**2 - 4*g + 20*g - 3*g**t wrt g? 44 Let y(b) be the first derivative of 516*b**5/5 - 283*b**3 - b - 2684. Find the third derivative of y(j) wrt j. 12384*j Find the third derivative of -1010*p**3 + 732*p**2 + 1010*p**3 - 408*p**5 - 1051*p**5 wrt p. -87540*p**2 Let n(i) = -7625*i**4 + i**3 - 2*i**2 + i - 9161. Let z(k) = -k**4 + k**3 - 2*k**2 + k + 8. Let s(h) = -n(h) + z(h). Find the first derivative of s(l) wrt l. 30496*l**3 What is the second derivative of 946*g**5 + 1076 + 816*g**5 - 358 + 97 - g + 141*g**5 wrt g? 38060*g**3 Let a(r) be the second derivative of 393*r**6/10 + 509*r**4/4 + 423*r. Find the third derivative of a(m) wrt m. 28296*m Let a(j) be the second derivative of -462*j**6/5 + 3677*j**3/6 - 696*j. What is the second derivative of a(y) wrt y? -33264*y**2 Let c(j) = -j**3 + 5*j**2 - 8*j + 16. Let p be c(3). Differentiate p + 8*q + 24*q - 5*q - 49 with respect to q. 27 Let b(u) = 1. Let v = -178 - -175. Let h(q) = 103*q - 33. Let l(d) = v*b(d) - h(d). Find the first derivative of l(g) wrt g. -103 Let n be (-2 + -1)/(6/(-68)). Let o = n + -27. Differentiate 8 + 36*m**4 + o - 24*m**4 with respect to m. 48*m**3 Suppose 6 = g + 3*d, 3*g - 2*d - 7 = -0*g. What is the derivative of 4*y**2 - 47*y**4 - 4*y**2 - 24*y**g - 118 + 45*y**4 wrt y? -8*y**3 - 72*y**2 Let z(y) = y**3 - 11*y**2 + 15*y - 30. Let m be z(10). Suppose -5*d = -9*d + m. Differentiate d + 132*q**3 - 132*q**3 - 25*q**4 wrt q. -100*q**3 Let p(q) be the third derivative of -83*q**7/5 - q**5/12 + q**4/12 - 37*q**3/6 + q**2 + 2*q - 122. What is the third derivative of p(u) wrt u? -83664*u Let q(u) be the first derivative of 0*u**2 + 32/7*u**7 - 4*u**3 + 0*u**6 + 0*u**5 + 0*u + 0*u**4 + 6. Find the third derivative of q(r) wrt r. 3840*r**3 Suppose 0*z = -z + 5, -4*z = 4*w - 624. What is the first derivative of -12 + w + 372*a**2 - 57*a**3 - 372*a**2 wrt a? -171*a**2 Let i(p) be the thi
{ "pile_set_name": "DM Mathematics" }
ext in -628303, -628294, -628275, -628240, -628183, -628098, -627979, -627820? -627615 What is next in -6631, -26306, -59097, -105004, -164027, -236166, -321421? -419792 What is the next term in 87, 206, 309, 396? 467 What comes next: -571, -605, -583, -481, -275, 59, 545? 1207 What is next in 2968, 3035, 3170, 3379, 3668? 4043 What comes next: -1186, -1333, -1480? -1627 What comes next: -14849, -14865, -14899, -14957, -15045? -15169 What is next in -241, -1389, -3293, -5947, -9345, -13481, -18349? -23943 What comes next: 2661, 5309, 7963, 10623, 13289? 15961 What is next in -543, -644, -745, -846, -947? -1048 What comes next: 1309, 2643, 3977? 5311 What is the next term in -1041, -1032, -1021, -1008, -993? -976 What comes next: -3598, -3657, -3718, -3781, -3846, -3913, -3982? -4053 What is the next term in 243785, 975158, 2194113, 3900650, 6094769, 8776470? 11945753 What comes next: -499, -1039, -1567, -2083, -2587, -3079? -3559 What is next in 834, 931, 1026, 1119? 1210 What is next in -1833413, -3666825, -5500237? -7333649 What is next in 28828, 57660, 86492, 115324, 144156? 172988 What comes next: -521, -731, -941? -1151 What comes next: -3235, -3185, -3103, -2989, -2843, -2665, -2455? -2213 What is next in -12692, -12751, -12916, -13241, -13780, -14587, -15716, -17221? -19156 What comes next: 4455, 17821, 40095, 71277, 111367? 160365 What is next in -396, -354, -292, -216, -132? -46 What is the next term in 24873, 49743, 74613? 99483 What is the next term in 2547, 1641, 131, -1983, -4701, -8023? -11949 What is the next term in 50435, 100866, 151297, 201728? 252159 What is next in -35861, -71721, -107579, -143435, -179289? -215141 What is the next term in -995, -1990, -2989, -3992? -4999 What is the next term in -125130, -125113, -125096, -125079? -125062 What comes next: 16415, 32805, 49183, 65543, 81879, 98185, 114455, 130683? 146863 What comes next: 1610, 1653, 1778, 2027, 2442, 3065, 3938, 5103? 6602 What is the next term in 260, 1062, 2404, 4286, 6708? 9670 What is next in 34313, 68631, 102949, 137267? 171585 What is the next term in 50, 211, 484, 869, 1366, 1975, 2696? 3529 What is next in -1, -8, -7, 8, 43, 104, 197, 328? 503 What comes next: 141, 563, 1267, 2253? 3521 What is the next term in 11156, 11155, 11154? 11153 What comes next: 838, 1672, 2506, 3340, 4174, 5008? 5842 What comes next: -600256, -600254, -600252? -600250 What is the next term in -838, -3463, -7862, -14029, -21958, -31643, -43078? -56257 What is the next term in 2653, 5306, 7961, 10618, 13277, 15938, 18601? 21266 What comes next: 41007, 41008, 41009? 41010 What is next in 54103, 54227, 54349, 54469, 54587, 54703, 54817? 54929 What comes next: 1660, 2801, 3942? 5083 What comes next: -11, 63, 269, 673, 1341? 2339 What is the next term in -719488, -719494, -719512, -719548, -719608? -719698 What is next in 4419, 4416, 4413, 4410, 4407, 4404? 4401 What is the next term in 391, 418, 463, 526, 607, 706, 823? 958 What comes next: 513, 223, -91, -429, -791? -1177 What comes next: 1415, 5588, 12513, 22184, 34595, 49740? 67613 What comes next: 1249, 2606, 3963? 5320 What comes next: 5618, 5725, 5832? 5939 What is next in 74695, 149391, 224087? 298783 What is the next term in -11444, -22850, -34256, -45662, -57068? -68474 What is next in -242, -940, -2098, -3716? -5794 What comes next: 3919734, 3919725, 3919714, 3919701, 3919686? 3919669 What is next in -303, -660, -1017, -1374, -1731, -2088? -2445 What comes next: -38990, -77979, -116968, -155957, -194946, -233935? -272924 What is the next term in -2463, -2501, -2537, -2571, -2603, -2633, -2661? -2687 What comes next: -499, -1933, -4313, -7633, -11887, -17069, -23173? -30193 What is next in 367, 724, 1075, 1426, 1783? 2152 What is the next term in -160, -128, -82, -28, 28, 80, 122? 148 What comes next: 65, 122, 223, 392, 653, 1030, 1547? 2228 What is the next term in 7902, 15274, 22644, 30012? 37378 What comes next: 34879, 69761, 104643, 139525, 174407, 209289? 244171 What is the next term in -6493, -26009, -58535, -104071, -162617, -234173, -318739? -416315 What is the next term in -1904, -7733, -17486, -31169, -48788, -70349? -95858 What is next in 516, 1794, 3840, 6654, 10236, 14586? 19704 What comes next: 242, 810, 1776, 3146, 4926, 7122, 9740, 12786? 16266 What is the next term in -603, -1420, -2433, -3636, -5023, -6588, -8325? -10228 What is next in 19533, 19523, 19505, 19473, 19421, 19343, 19233? 19085 What comes next: -201, -400, -595, -786, -973, -1156, -1335? -1510 What comes next: 3391, 3442, 3541, 3694, 3907, 4186, 4537? 4966 What comes next: 1202, 9926, 33572, 79592, 155438, 268562? 426416 What is next in 372, 770, 1130, 1434, 1664, 1802, 1830, 1730? 1484 What comes next: 310, 321, 340, 367, 402, 445, 496? 555 What is the next term in 10156, 10159, 10162, 10165, 10168, 10171? 10174 What is next in 65, 92, 69, -28, -223? -540 What is next in -388999, -389004, -389009, -389014? -389019 What is next in -431, -445, -445, -431, -403, -361? -305 What is next in -4532, -6529, -8528, -10529? -12532 What comes next: 8579, 8574, 8569, 8564? 8559 What is the next term in 66, 86, 102, 114? 122 What is next in -190, -1464, -3588, -6562, -10386, -15060, -20584? -26958 What is next in 30001, 60003, 90005, 120007, 150009? 180011 What is the next term in 1457, 5784, 12995, 23090? 36069 What is next in 1433, 1445, 1457, 1469, 1481? 1493 What is next in -404451, -808880, -1213307, -1617732? -2022155 What is the next term in -29220, -116876, -262970, -467502, -730472? -1051880 What comes next: -76, -629, -2124, -5029, -9812? -16941 What comes next: 706, 1340, 1974? 2608 What is next in 27519, 55048, 82577? 110106 What is the next term in -14639, -29274, -43909, -58544, -73179, -87814? -102449 What is next in -171, -217, -263, -309, -355? -401 What comes next: 6172, 6128, 6094, 6070, 6056, 6052? 6058 What is the next term in 130, 514, 1154, 2050, 3202, 4610, 6274? 8194 What is next in -12078, -48375, -108870, -193563, -302454? -435543 What comes next: -6561, -13098, -19635, -26172, -32709, -39246? -45783 What comes next: 1204, 2565, 3920, 5269, 6612, 7949, 9280? 10605 What is the next term in -4483, -4592, -4701? -4810 What is next in -6203, -24819, -55833, -99245, -155055, -223263? -303869 What comes next: -5836, -11670, -17504? -23338 What is the next term in -2572, -5149, -7726, -10303, -12880, -15457? -18034 What is the next term in -4063, -4131, -4199, -4267? -4335 What comes next: 311216, 311213, 311200, 311171, 311120, 311041? 310928 What is next in 28003, 112017, 252041, 448075? 700119 What is next in 3247929, 3247928, 3247927? 3247926 What is next in -9, 9, 35, 63, 87, 101, 99? 75 What is next in 275, 449, 623, 797, 971, 1145? 1319 What comes next: 2601, 5108, 7615, 10122? 12629 What is the next term in -1127, -2190, -3253, -4316? -5379 What is next in 2400, 2367, 2260, 2043, 1680, 1135, 372, -645? -1952 What comes next: -275, -121, 127, 463, 881, 1375, 1939? 2567 What comes next: 84477, 84483, 84491, 84501, 84513, 84527? 84543 What is the next term in 5707, 5477, 5247, 5017, 4787? 4557 What is next in -246578, -246580, -246582, -246584? -246586 What comes next: -39, -77, -115, -153, -191? -229 What is next in -7395, -7398, -7403, -7410? -7419 What comes next: -1182, -1184, -1194, -1212, -1238, -1272, -1314? -1364 What is the next term in -1803, -14655, -49539, -117471, -229467? -396543 What is the next term in -969, -778, -587, -396? -205 What is next in -50, -51, -40, -11, 42, 125, 244? 405 What is next in -702, -1231, -1760? -2289 What is next in 204, 191, 178? 165 What is the next term in 549, 1029, 1355, 1449, 1233, 629, -441? -2055 What is next in 368570, 737140, 1105710, 1474280? 1842850 What is the next term in 308, 698, 1188, 1784, 2492? 3318 What is the next term in -1051, -1166, -1279, -1390? -1499 What is next in 14148, 14178, 14218, 14262, 14304, 14338, 14358, 14358? 14332 What comes next: 2360, 4718, 7054, 9356, 11612, 13810, 15938? 17984 What is the next term in -36, -39, -40, -45, -60, -91? -144 What is the next term in -29358, -29360, -29362, -29364, -29366? -29368 What comes next: 64590, 129168, 193750, 258336? 322926 What comes next: 123124, 123125, 123114, 123085, 123032? 122949 What comes next:
{ "pile_set_name": "DM Mathematics" }
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8 What is the hundred thousands digit of 59099424? 0 What is the hundred millions digit of 1365350695? 3 What is the hundred thousands digit of 1353172291? 1 What is the billions digit of 2474619045? 2 What is the units digit of 490731089? 9 What is the thousands digit of 985310414? 0 What is the thousands digit of 31938735? 8 What is the hundred thousands digit of 59376404? 3 What is the tens digit of 5704228168? 6 What is the units digit of 351655174? 4 What is the ten millions digit of 56823533? 5 What is the thousands digit of 1243112? 3 What is the hundreds digit of 45356433? 4 What is the units digit of 27305509? 9 What is the hundred thousands digit of 1206734986? 7 What is the ten thousands digit of 364122300? 2 What is the tens digit of 12931309? 0 What is the thousands digit of 128910406? 0 What is the hundreds digit of 59232629? 6 What is the hundred millions digit of 170035432? 1 What is the ten thousands digit of 1520137826? 3 What is the millions digit of 2470219283? 0 What is the units digit of 7351858583? 3 What is the millions digit of 12981041? 2 What is the units digit of 647738741? 1 What is the millions digit of 826777665? 6 What is the thousands digit of 174178234? 8 What is the ten millions digit of 39297026? 3 What is the thousands digit of 62840281? 0 What is the tens digit of 8830926460? 6 What is the hundred thousands digit of 50809522? 8 What is the hundred thousands digit of 1265192367? 1 What is the tens digit of 36992131? 3 What is the ten thousands digit of 52399775? 9 What is the hundred thousands digit of 637779072? 7 What is the ten millions digit of 163222888? 6 What is the hundred thousands digit of 187708510? 7 What is the billions digit of 8434954765? 8 What is the ten thousands digit of 19748847? 4 What is the hundred thousands digit of 1931260742? 2 What is the millions digit of 3689949955? 9 What is the ten millions digit of 111045905? 1 What is the tens digit of 2485961004? 0 What is the thousands digit of 69838094? 8 What is the hundred thousands digit of 2680804574? 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4 What is the hundreds digit of 6584034846? 8 What is t
{ "pile_set_name": "DM Mathematics" }
6)). 52*sqrt(7) Simplify (sqrt(15)/sqrt(3) - sqrt(5)) + 4 + -5. -1 Simplify (-4 + sqrt(3))*6 + (1*sqrt(108) + sqrt(108))**2. 6*sqrt(3) + 408 Simplify -4*(sqrt(704)*-2 + -2 - sqrt(704)). 8 + 96*sqrt(11) Simplify sqrt(21)/(sqrt(175) + sqrt(175)*5). sqrt(3)/30 Simplify (((sqrt(91) - sqrt(91)*1) + sqrt(91) - sqrt(91))*-6)/(sqrt(847) + sqrt(847)*2). 0 Simplify ((-1 + sqrt(108) - sqrt(108)) + sqrt(108))*3 + sqrt(108). -3 + 24*sqrt(3) Simplify ((sqrt(17)*1 - sqrt(17))*6 - sqrt(17)) + -2 - -5*sqrt(1088)*1. -2 + 39*sqrt(17) Simplify sqrt(57)/(6*sqrt(75)). sqrt(19)/30 Simplify ((sqrt(76) - (3 + sqrt(76))) + 3 + (3*sqrt(76) - sqrt(76))*-3)**2. 2736 Simplify 4*((sqrt(112)/sqrt(2))/sqrt(2))**2 + -5. 107 Simplify (sqrt(11) + 0)*-5 - sqrt(11) - (-1 + sqrt(11) + -1)**2. -15 - 2*sqrt(11) Simplify 3*(2 + sqrt(242)*1)**2. 132*sqrt(2) + 738 Simplify (-1*2*sqrt(5))**2 - (sqrt(5) - ((-2*sqrt(5) - sqrt(5) - sqrt(5))*-6)**2). -sqrt(5) + 2900 Simplify (-4*(sqrt(110) - (sqrt(110)*-1 - sqrt(110))))/(sqrt(810) + (sqrt(810) + sqrt(810) + sqrt(810)*-2 - sqrt(810)) + sqrt(810)). -4*sqrt(11)/3 Simplify 3 + 2 + sqrt(1700). 5 + 10*sqrt(17) Simplify (sqrt(405) + (2 + -2*sqrt(405))**2)*1*1. -63*sqrt(5) + 1624 Simplify (sqrt(72) + (sqrt(72) + -1)**2)*5 + (sqrt(72) + 2 + -1)**2. -18*sqrt(2) + 438 Simplify 3*(sqrt(1900) + -1*sqrt(1900))**2. 0 Simplify ((sqrt(55) - (2*sqrt(880) - sqrt(880) - sqrt(880)))/(1*sqrt(405)))**2. 11/81 Simplify (5*sqrt(833))**2*-5. -104125 Simplify -5*((sqrt(475) - 4*sqrt(475))**2 + -5). -21350 Simplify -5*(2 + sqrt(153)). -15*sqrt(17) - 10 Simplify (sqrt(5)*-2)**2 + 2 - sqrt(5) - (2 + sqrt(80)). -5*sqrt(5) + 20 Simplify 4 + (sqrt(2299) - (sqrt(2299) - -1*sqrt(2299)))**2 + 0. 2303 Simplify (1 + sqrt(3) + -4 - (sqrt(75)*3 + sqrt(3)))**2. 90*sqrt(3) + 684 Simplify (sqrt(66) + sqrt(66) + -2*(sqrt(66) + sqrt(66)*1))/(sqrt(18)/sqrt(12)). -4*sqrt(11) Simplify sqrt(63)/((sqrt(72)/sqrt(2))/sqrt(4)) - (-2*sqrt(21)/sqrt(3) + -3). 3 + 3*sqrt(7) Simplify (sqrt(7) + sqrt(21)/(-2*sqrt(3)) + 3)**2. 3*sqrt(7) + 43/4 Simplify (((-2*sqrt(16) - sqrt(16))*3)/((-2*sqrt(800) - sqrt(800)) + sqrt(8)))**2. 162/841 Simplify 4 + sqrt(475) + -5. -1 + 5*sqrt(19) Simplify (-1*(1 + sqrt(2057))*5)**2. 550*sqrt(17) + 51450 Simplify (sqrt(17) - (sqrt(102)/sqrt(6))**2) + -1 + (sqrt(1700) + 1*sqrt(1700) - sqrt(17)). -18 + 20*sqrt(17) Simplify -4*(-2 + (0 + sqrt(19))**2). -68 Simplify (-5*(sqrt(110) + -1*sqrt(110)))/sqrt(10) + -5*sqrt(110)/(sqrt(10) - sqrt(10)*-1). -5*sqrt(11)/2 Simplify sqrt(1088)*5 - sqrt(17) - (sqrt(17) + -2)**2*6. -126 + 63*sqrt(17) Simplify sqrt(539) + (sqrt(539) + 0)**2 + sqrt(539) - (1 + sqrt(11) + 0). 13*sqrt(11) + 538 Simplify ((-2*sqrt(171) + sqrt(171) - (sqrt(19) + 2)*1) + -3)**2. 40*sqrt(19) + 329 Simplify 1 + sqrt(147) + 3 + sqrt(147). 4 + 14*sqrt(3) Simplify -3 + ((2*sqrt(20))/sqrt(10))**2. 5 Simplify -4*((sqrt(120)*1)/sqrt(5))/(sqrt(588)*1). -4*sqrt(2)/7 Simplify ((sqrt(4032) - 2*sqrt(4032) - sqrt(28)) + sqrt(28))/(3*sqrt(64)). -sqrt(7) Simplify 5*(sqrt(140)/(sqrt(4)*2))/(2*sqrt(720)). 5*sqrt(7)/48 Simplify ((sqrt(114) - 3*sqrt(114))/sqrt(6))**2 + sqrt(114)/(sqrt(6) + sqrt(96)). sqrt(19)/5 + 76 Simplify 6*(sqrt(72)*2*-1 + -2*sqrt(72)*-6)**2. 43200 Simplify (sqrt(192) + 1 + -3)**2. -32*sqrt(3) + 196 Simplify sqrt(605) + 0 + sqrt(5) + ((sqrt(5) + -3)*2)**2. -12*sqrt(5) + 56 Simplify sqrt(26)/sqrt(2)*5 + sqrt(13) + (sqrt(13) - (sqrt(65)/sqrt(5) + 3)). -3 + 6*sqrt(13) Simplify ((1 + sqrt(72))*-6 + sqrt(72))**2 + sqrt(72) - (sqrt(72) + sqrt(72) + -2*sqrt(72) + 0 + sqrt(72)). 360*sqrt(2) + 1836 Simplify sqrt(14)/(sqrt(18)*2). sqrt(7)/6 Simplify 5*((sqrt(17) - (sqrt(17) + -1)) + -3). -10 Simplify 2 + sqrt(19)*-2 + 4. -2*sqrt(19) + 6 Simplify (sqrt(7) + (-1*sqrt(28) + sqrt(28))/sqrt(4))**2 + sqrt(7)*1 + 3. sqrt(7) + 10 Simplify 2*(sqrt(20) + (sqrt(20) - sqrt(20)*-1)**2 + -3). 4*sqrt(5) + 154 Simplify -2 + sqrt(684) + sqrt(684) + -3 + 3. -2 + 12*sqrt(19) Simplify (sqrt(5) - (sqrt(80))**2) + 0 + -1*(sqrt(35)/sqrt(7))**2. -85 + sqrt(5) Simplify 4 + 1*sqrt(44). 4 + 2*sqrt(11) Simplify ((-2*sqrt(612) - sqrt(612))*4 + 1*sqrt(612) + sqrt(612) + 0 + 1)**2. -120*sqrt(17) + 61201 Simplify 2 + 2 + sqrt(19) - (-4 + sqrt(304)). -3*sqrt(19) + 8 Simplify ((sqrt(7488) - (-3 + sqrt(7488) - sqrt(7488))) + -4)**2. -48*sqrt(13) + 7489 Simplify (sqrt(192)*-1*-2)**2. 768 Simplify (-5*sqrt(76)*1)/(sqrt(144) + sqrt(144)*1 + sqrt(144)). -5*sqrt(19)/18 Simplify (3 + sqrt(468) + -1 + 4)**2. 72*sqrt(13) + 504 Simplify sqrt(14)/(sqrt(22)/(sqrt(22)/sqrt(2))). sqrt(7) Simplify ((sqrt(209)*1 - sqrt(209))/sqrt(11)*3)**2. 0 Simplify (sqrt(102)*1*-5)/(sqrt(24)/sqrt(36)). -15*sqrt(17) Simplify ((sqrt(190) + (sqrt(190) - ((sqrt(190) - sqrt(190)*-3) + sqrt(190))) + sqrt(190) - sqrt(190))*-4)/sqrt(10)*-4. -48*sqrt(19) Simplify 5*(-4 + (-1 + sqrt(242) + 1*sqrt(242) + sqrt(242))**2). -330*sqrt(2) + 10875 Simplify (-3 + 3*sqrt(76))**2. -36*sqrt(19) + 693 Simplify ((sqrt(245) + 1 + -2)**2 - sqrt(245)) + (sqrt(245) - (2*(sqrt(245) + 0) - sqrt(245))**2). -14*sqrt(5) + 1 Simplify ((-5*-2*sqrt(136) - sqrt(136))/(sqrt(128)*-5))**2. 1377/400 Simplify (sqrt(243) + 1)**2 + (0 + sqrt(3)*-1)**2. 18*sqrt(3) + 247 Simplify (2*sqrt(153))/sqrt(9) + sqrt(17) + (sqrt(17) - (sqrt(17) + 1))**2 + -3. -2 + 3*sqrt(17) Simplify sqrt(3) + (sqrt(3) - (sqrt(3) - ((sqrt(36) - -1*sqrt(36))/sqrt(12))**2)) - (sqrt(3) + ((6*(sqrt(3) - 3*sqrt(3)))**2 - sqrt(3))). -420 + sqrt(3) Simplify 0 + sqrt(18)/sqrt(6)*5. 5*sqrt(3) Simplify (sqrt(152) - sqrt(152)*2*-1)/(sqrt(200)*-5 - sqrt(8)). -3*sqrt(19)/26 Simplify 5*sqrt(192)*-2. -80*sqrt(3) Simplify sqrt(11) + (sqrt(44)/sqrt(4))**2 + 1 - 5*sqrt(11)*1. -4*sqrt(11) + 12 Simplify ((sqrt(84) - -5*1*sqrt(84)) + sqrt(84))/sqrt(12). 7*sqrt(7) Simplify (2*(1*sqrt(1584)*2 - sqrt(1584)))**2. 6336 Simplify ((sqrt(208) - (-2*sqrt(208)*-5 - sqrt(208)))**2 - sqrt(208))*-3. -39936 + 12*sqrt(13) Simplify (sqrt(1216) - (-4*sqrt(1216))**2) + sqrt(95)/sqrt(180). -19456 + 49*sqrt(19)/6 Simplify (6*((sqrt(130) - (sqrt(130) + sqrt(130) + sqrt(130)*-1)) + sqrt(130)))/sqrt(10). 6*sqrt(13) Simplify (-2*sqrt(102) - sqrt(102) - sqrt(102))/sqrt(6) - -6*sqrt(102)/sqrt(6). 2*sqrt(17) Simplify (sqrt(39)*2*-2)/(1*sqrt(12)). -2*sqrt(13) Simplify (sqrt(684) - -6*2*sqrt(684))**2. 115596 Simplify -5*(sqrt(833) - (sqrt(833) - (-1 + -2*sqrt(833)))). 5 + 70*sqrt(17) Simplify (4 + sqrt(11)*-2 + sqrt(11) - (-4 + sqrt(22)/sqrt(2) + sqrt(11))**2)*-1. -15*sqrt(11) + 56 Simplify (-1*(sqrt(48) + 2))**2 + (5*-1*sqrt(3) - 6*sqrt(6)/sqrt(2)). 5*sqrt(3) + 52 Simplify (sqrt(432)/sqrt(108))/((sqrt(300) - (sqrt(300) + (-1*sqrt(300) - sqrt(300)))) + sqrt(300) - sqrt(300)). sqrt(3)/30 Simplify (sqrt(77) + (sqrt(77) + -1*(sqrt(77)*-2 - sqrt(77) - sqrt(77)) - sqrt(77)) + sqrt(77) - sqrt(77))/(sqrt(539) + (sqrt(539)*-1 - sqrt(539))). -5*sqrt(7)/7 Simplify sqrt(33)/sqrt(44)*-2. -sqrt(3) Simplify (-1 + sqrt(500) + -4)**2. -100*sqrt(5) + 525 Simplify 2*sqrt(171)/(-5*sqrt(225)). -2*sqrt(19)/25 Simplify (-4*sqrt(85)/(-2*sqrt(5)))**2. 68 Simplify (-1*sqrt(297)/sqrt(11))**2. 27 Simplify (sqrt(45) + 4)**2 + (sqrt(5) - sqrt(245)*3). 4*sqrt(5) + 61 Simplify sqrt(216)/sqrt(192). 3*sqrt(2)/4 Simplify sqrt(2) + (-4*(sqrt(2) + sqrt(162)))**2 + sqrt(72) + -3. 7*sqrt(2) + 3197 Simplify (3 + -1*sqrt(3) - (sqrt(144)/sqrt(4) + sqrt(36))/sqrt(12)) + -2. -3*sqrt(3) + 1 Simplify (sqrt(272) + 0 + sqrt(272) + 5)**2. 80*sqrt(17) + 1113 Simplify (-2*sqrt(80))**2 + -2. 318 Simplify sqrt(4)/((sqrt(128) - (4*sqrt(128) - sqrt(128))) + sqrt(128)). -sqrt(2)/8 Simplify (sqrt(40)/sqrt(5))**2 - sqrt(160)/sqrt(5). -4*sqrt(2) + 8 Simplify (sqrt(432)*-2*-5*-3)**2 + 5. 388805 Simplify -4*((sqrt(24) - sqrt(2400))/sqrt(12) - sqrt(2)). 40*sqrt(2) Simplify 4*(((1 + sqrt(162))**2 - sqrt(162)) + -4 - sqrt(162)). 636 Simplify (-2*sqrt(156) + sqrt(156) + sqrt(156))/sqrt(12) + sqrt(13) + (1*sqrt(13) + -2)**2. -3*sqrt(13) + 17 Simplify (3*(sqrt(128) + -3))**2*2. -864*sqrt(2) + 2466 Simplify (-6*sqrt(34)/sqrt(2) - (sqrt(612) + 1))**2. 24*sqrt(17) + 2449 Simplify -4*(sqrt(208) + sqrt(208) + 1 - sqrt(52)). -24*sqrt(13) - 4 Simplify (sqrt(1296) + (sqrt(1296) - 2*sqrt(1296) - sqrt(1296)))/(sqrt(12) - (sqrt(24) + sqrt(48)/sqrt(2) + sqrt(24) - sqrt(24))/sqrt(2)). 6*sqrt(3) Simplify (6*(sqrt(102) + sqrt(102
{ "pile_set_name": "DM Mathematics" }