**3 + x + s + 2*x**3 + 38*x - 75*x**2.
(x - 1)**2*(37*x - 1)
Let s(d) be the second derivative of d**5/180 - 5*d**4/72 + d**3/3 + 79*d**2/2 - d - 38. Let f(c) be the first derivative of s(c). Factor f(b).
(b - 3)*(b - 2)/3
Let t(d) = -d**3 + d - 1. Let u be (0 - -7) + 575/(-23). Let k(o) = -10*o**3 + 9*o**2 - 11*o + 3. Let g(b) = u*t(b) + 2*k(b). Find c such that g(c) = 0.
1, 2, 6
Suppose 19*c + 37*c = 60*c + 3*b, -2*c - 2 = 2*b. Let 4*d**2 + 20/7*d**4 + 4/7*d**5 + 0 + 8/7*d + 36/7*d**c = 0. What is d?
-2, -1, 0
Let 71*k**2 - 27*k - 1547*k**3 + 698*k**3 + k**4 + 876*k**3 - 72 = 0. Calculate k.
-24, -3, -1, 1
Let y = -1779119/3 + 593041. Find o such that -2/3*o**4 + 11/3*o**3 - 13/3*o**2 + y*o + 0 = 0.
0, 1/2, 1, 4
Factor -133563/5 - 3/5*u**2 - 1266/5*u.
-3*(u + 211)**2/5
Let t(i) = -3*i**3 + 57*i**2 + 118*i + 24. Let k(q) = -2*q**3 + 38*q**2 + 79*q + 15. Let p(u) = -8*k(u) + 5*t(u). Factor p(h).
h*(h - 21)*(h + 2)
Let w(x) = 7*x**2 + 1831*x + 1844. Let l(u) = -3*u**2 - 917*u - 922. Let r(b) = 5*l(b) + 2*w(b). Factor r(o).
-(o + 1)*(o + 922)
Let j(q) be the second derivative of 1/315*q**7 + 4/15*q**2 + 17/45*q**3 - 78*q + 0 + 8/225*q**6 + 14/45*q**4 + 11/75*q**5. Determine r so that j(r) = 0.
-4, -1
Let q(o) = -3*o**3 - 92*o**2 + 448*o - 960. Let m(g) = -5*g**3 - 185*g**2 + 910*g - 1920. Let y(f) = 8*m(f) - 15*q(f). Let y(j) = 0. Calculate j.
4, 12
Suppose -2*x - 15 = -7*x. Let l = -3101 + 3203. Factor k**5 - 105*k**x + 0*k**2 + 2*k**2 + l*k**3.
k**2*(k - 1)**2*(k + 2)
Find h such that 609 + 145*h**2 + 2*h**3 + 1211 - 29*h**3 + 506*h + 32*h**3 + 674*h = 0.
-14, -13, -2
Let j be 32*34/2720 + (-32)/105. Factor -64*d + j*d**4 + 488/21*d**2 + 384/7 - 8/3*d**3.
2*(d - 12)**2*(d - 2)**2/21
Let u = 43317851866/79299468655 - -374/3299333. Let f = -2/2185 + u. Find b, given that -12/11*b**2 + f + 0*b + 0*b**3 + 6/11*b**4 = 0.
-1, 1
Let l(n) = -n**2 - 16*n + 29. Let x be l(-17). Suppose -30 = 6*g - x*g. Find w such that g*w**2 + 4 + 10*w - 38*w**2 + 19*w**2 = 0.
-2/7, 1
Suppose 201 = 3*z + 189. Let v(r) be the first derivative of -16 + 0*r - 2/45*r**5 + 0*r**2 + 1/18*r**z + 2/27*r**3 - 1/27*r**6. Factor v(d).
-2*d**2*(d - 1)*(d + 1)**2/9
Let g(l) be the second derivative of -l**6/2340 + 3*l**5/260 - 7*l**4/78 - l**3/2 - 54*l - 1. Let n(a) be the second derivative of g(a). Factor n(j).
-2*(j - 7)*(j - 2)/13
Factor -5/6*h**3 - 20/3 - 38/3*h - 7*h**2 + 1/6*h**4.
(h - 10)*(h + 1)*(h + 2)**2/6
Suppose -2*v - 5*z = 28 - 7, -2*v = -z + 15. Let w be (v/(-3) - 3) + 40/12. Find s such that 5*s**2 + 22*s**3 - 18*s**w - s**2 - 4 - 4*s = 0.
-1, 1
Suppose 2*n = 30*n - 14000. Let j be n/(-75) - (-5 + -2). Factor -4/9*h**2 + 5/9*h - j*h**3 + 2/9.
-(h - 1)*(h + 2)*(3*h + 1)/9
Let q be 38/8 + (-93)/124. Solve 95*t**3 + 5*t - q - 98*t**3 + 6 - 4*t**2 = 0 for t.
-2, -1/3, 1
Let x(s) be the second derivative of s**6/60 - 3*s**5/40 - 3*s**4 - 44*s**3/3 - 113*s + 3. Let x(f) = 0. What is f?
-4, 0, 11
Let f be ((-15)/3 + 3 + 4)*-2. Let t(m) = -8*m**2 - 39*m + 247. Let h(u) = 6*u**2 + 40*u - 246. Let y(a) = f*t(a) - 5*h(a). Suppose y(r) = 0. Calculate r.
11
Factor 20/3*u**2 - 156 + 38*u - 2/3*u**3.
-2*(u - 13)*(u - 3)*(u + 6)/3
Factor -3 - 31/11*h**2 + 65/11*h - 1/11*h**3.
-(h - 1)**2*(h + 33)/11
Let l(n) be the first derivative of -n**6/6 - 164*n**5/15 + 5*n**4 + 274*n**3/9 - 19*n**2/2 - 110*n/3 + 192. Find t, given that l(t) = 0.
-55, -1, -2/3, 1
Let g(p) be the third derivative of p**6/1020 + 79*p**5/510 - 41*p**4/34 + 733*p**2 + 2*p - 4. Factor g(j).
2*j*(j - 3)*(j + 82)/17
Suppose 1000*p - 2014 - 2986 = 0. Let 5*g**2 - 1/3*g - p + 1/3*g**3 = 0. Calculate g.
-15, -1, 1
Let q(h) = -212*h**3 - 64*h**2 - 120*h + 42. Let y(w) = 5*w**3 - 1. Let z(l) = 2*q(l) + 84*y(l). Factor z(o).
-4*o*(o + 2)*(o + 30)
Let i be 16/128*292/6 + 3 + -9. Let h(s) be the second derivative of 0 - 5/3*s**2 + i*s**6 + 18*s + 95/36*s**3 + 5/24*s**5 - 115/72*s**4. Solve h(p) = 0 for p.
-4, 1/3, 1
Let n(j) be the third derivative of j**7/630 - 11*j**6/180 + 59*j**5/180 - 19*j**4/36 + 1028*j**2 + 1. Find q, given that n(q) = 0.
0, 1, 2, 19
Suppose 51*u - 128 = 25. Factor 100*p**2 + 4*p + 28 + 5*p**3 - 7*p**u - 128 - 2*p**3.
-4*(p - 25)*(p - 1)*(p + 1)
Let o be (-34)/102 - (6 - (-226)/(-30)). Solve 8/5 + 2/5*x**3 - o*x**2 + 0*x = 0.
-1, 2
Let f(d) be the first derivative of -5*d**4/4 - 10330*d**3/3 - 5335445*d**2/2 + 252. Find j, given that f(j) = 0.
-1033, 0
Let b be -76 - 14042/(-182) - 1/((-13)/3). Factor -16/13 - 2/13*v**2 + b*v.
-2*(v - 8)*(v - 1)/13
Let o(d) = d**2 - 3*d. Let w(m) = -m**5 - 46*m**4 - 252*m**3 - 492*m**2 - 308*m. Let g(u) = -12*o(u) - 3*w(u). Determine i so that g(i) = 0.
-40, -2, 0
Let s = -26 + 32. Let j be (0 + 6 - 2) + s. Determine m, given that m - 5*m**2 - m + j + 5*m = 0.
-1, 2
Let v(c) = -3*c**4 - 94*c**3 - 202*c**2 + 703*c + 1970. Let r(g) = g**4 + 31*g**3 + 67*g**2 - 235*g - 656. Let m(x) = -13*r(x) - 4*v(x). Factor m(y).
-(y - 3)*(y + 3)**2*(y + 24)
Let u(j) be the first derivative of 5*j**4/4 - 65*j**3/3 + 125*j**2 - 280*j + 681. Find g such that u(g) = 0.
2, 4, 7
Suppose 4 = 9*r - 13*r + 4*m, -5*r = m - 25. Determine a so that 1568*a**4 + 6*a**3 - 1560*a**r + 12*a**2 + 16*a**3 = 0.
-2, -3/4, 0
Let w(o) be the third derivative of 0*o - 20*o**2 - 7/660*o**6 - 1/132*o**4 + 0*o**3 + 1 - 1/66*o**5 - 1/385*o**7. Factor w(x).
-2*x*(x + 1)**2*(3*x + 1)/11
Let p(j) be the second derivative of -4*j - 2/11*j**3 - 47/66*j**4 - 21/110*j**5 - 14 + 8/11*j**2. Solve p(k) = 0.
-2, -4/7, 1/3
Let s = -15036 + 15036. Find u, given that -2/3*u + s - 1/3*u**2 = 0.
-2, 0
Let p be -3*2/(-3) - -1. Let c(o) = 2*o**2 + 120*o + 236. Let g be c(-58). Factor -2*h**3 + 5*h**4 + 4*h**p - 7*h**g.
-2*h**3*(h - 1)
Let b(z) be the third derivative of 0*z + 15/11*z**4 - 3/110*z**6 - 61/330*z**5 + z**2 - 23 - 1/1155*z**7 - 100/33*z**3. Determine t, given that b(t) = 0.
-10, 1
Let l = 91 - 11. Let i be (l/12)/2 - 1/3. Find a, given that 8/17*a**i + 2/17 + 4/17*a - 14/17*a**2 = 0.
-1/4, 1
Let f(m) = m**2 - 497*m + 58092. Let r be f(188). Suppose -1/4*l**2 + 1/4*l**3 + 0*l + r = 0. What is l?
0, 1
Let d(l) be the first derivative of l**3 + 105*l**2/2 - 468*l - 7351. Suppose d(r) = 0. What is r?
-39, 4
Suppose 17*p - 468 = 4*p. Let m be ((-3)/4*2)/(p/(-96)). Factor -8*q**3 + 22*q**m - 4*q**2 - 46*q**4 + 20*q**4.
-4*q**2*(q + 1)**2
Suppose 1/2*a**5 - 33*a**3 + 109*a**2 - 255/2*a + 99/2 + 3/2*a**4 = 0. Calculate a.
-11, 1, 3
Let n(q) be the first derivative of -4*q**3/3 + 36*q**2 - 128*q - 731. Solve n(v) = 0 for v.
2, 16
Let v be 60 + (-37 - 3715)/67. Let m be 82/4 + 1 + 1. Determine w, given that -20*w**2 - 5/2*w**v - 15*w + m + 15*w**3 = 0.
-1, 1, 3
Let u(n) = -20*n**2 - 185*n - 185. Let f(x) be the second derivative of 29*x**4/12 + 139*x**3/3 + 277*x**2/2 - 25*x. Let r(q) = -5*f(q) - 7*u(q). Factor r(z).
-5*(z + 1)*(z + 18)
Suppose -7*l + 3*v + 43 = 0, 4*l - 95 = 3*v - 64. Suppose 12/7*g**2 + 0 + 0*g + 10/7*g**3 - 2/7*g**l = 0. Calculate g.
-1, 0, 6
Let p(w) be the third derivative of w**7/5040 - w**6/144 + w**5/15 + 4*w**4/9 - 4*w**3/3 + 7*w**2. Let u(q) be the first derivative of p(q). Factor u(b).
(b - 8)**2*(b + 1)/6
Let q(a) be the second derivative of -a**4/6 - 528*a**3 - 627264*a**2 + 13822*a. Find t such that q(t) = 0.
-792
Let y(k) be the first derivative of -k**4/12 - 7*k**3/6 + 9*k**2 - 237*k + 26. Let f(n) be the first derivative of y(n). Find a such that f(a) = 0.
-9, 2
Let t(d) = 14*d - 16. Let g(x) = x**2 + 15*x - 15. Let k = 47 - 64. Let y(v) = -v**2 - 15*v + 31. Let b be y(k). Let q(u) = b*t(u) + 2*g(u). Solve q(n) = 0.
3
Let m(x) be the third derivative of x**6/120 - 163*x**5/60 - 83*x**4/12 + 164*x**3/3 - 27*x**2 - 12*x. Suppose m(z) = 0. What is z?
-2, 1, 164
Find j, given that 30/19*j**4 - 30/19*j**2 - 32/19*j + 0 + 34/19*j**3 - 2/19*j**5 = 0.
-1, 0, 1, 16
Let c(o) be the second derivative of -o**5/30 - 2*o**4/9 + 28*o**3/9 - 32*o**2/3 - 122*o + 19. Factor c(y).
-2*(y - 2)**2*(y + 8)/3
Suppose -5*o + 16 = l, 3*l = -4*o + l + 8. Suppose 0*m = 5*a + 4*m - 59, 4*a = -o*m + 48. Find g, given that -5*g**3 - a*g - 474*g**2 + 454*g**2 - 4*g = 0.
-3, -1, 0
Let i(g) be the third derivative of g**8/560 - 19*g**6/200 + 3*g**5/10 - 1129*g**2. Let i(m) = 0. Calculate m.
-5, 0, 2, 3
Let m(u) be the fi