en that 0 + 23/3*f**2 - 1/3*f**4 - 22/3*f**3 + 0*f = 0.
-23, 0, 1
Solve -48 + 2/5*c**3 - 164/5*c - 18/5*c**2 = 0.
-4, -2, 15
Let x(b) be the third derivative of b**8/420 - b**7/42 + 2*b**6/45 - 37*b**3/3 + 44*b**2. Let n(j) be the first derivative of x(j). Solve n(o) = 0 for o.
0, 1, 4
Let w(r) = 6 - 8*r**3 - 3 - 3 + 8*r. Let m(k) = 15*k**3 - k**2 - 15*k + 1. Let d(c) = 6*m(c) + 11*w(c). Factor d(a).
2*(a - 3)*(a - 1)*(a + 1)
Let s(i) be the third derivative of i**8/28 + 3*i**7/14 + i**6/2 + i**5/2 - i**3/2 - 2*i**2 - 2*i - 205. Factor s(v).
3*(v + 1)**4*(4*v - 1)
Suppose 104*m - 87 = 72 + 138 + 15. Factor 8*x + 2/3*x**m + 0 - 16/3*x**2.
2*x*(x - 6)*(x - 2)/3
Let h be -3 + (-21)/(-7) + 3 + 0. Factor 35*b - 87*b - h*b**2 - 48 + 9*b - 8*b.
-3*(b + 1)*(b + 16)
Let y be 3/((-3)/4) - (-5346)/759 - (-239)/(-5497). Determine o so that -8/3 + 2/3*o**5 + 2*o**4 - 8*o - 22/3*o**2 - 2/3*o**y = 0.
-2, -1, 2
Let u(d) be the first derivative of 5*d**4/4 + 35*d**3 - 325*d**2 - 10. Find s, given that u(s) = 0.
-26, 0, 5
Let k = 223 - -743. Let x be k/11 + 38/209. Let 84*z**2 - 43*z**2 - 37*z**2 - x*z + 484 = 0. What is z?
11
Suppose 222436*s**5 + 4*s**2 + 6*s**3 - 3*s**4 + 3*s**4 - 222438*s**5 = 0. What is s?
-1, 0, 2
Let s(g) be the second derivative of g**5/80 + 5*g**4/8 - 43*g**3/24 - 93*g**2/2 + 2621*g. Solve s(h) = 0 for h.
-31, -3, 4
Let d = 47 - 37. Suppose 0 = -d*n + 14*n - 4. Find f such that -7 + 2 + 3*f**3 - 4*f - n - 5*f = 0.
-1, 2
Determine v, given that 102/5 - 1/10*v**2 - 47/10*v = 0.
-51, 4
Suppose 0 = -4*j + r + 4573 + 12360, -r = 5. Factor -3*a**4 - 2118*a**2 + 30*a**3 - 2111*a**2 - 30*a + j*a**2.
-3*a*(a - 10)*(a - 1)*(a + 1)
Let f(j) be the third derivative of -j**6/120 + 13*j**5/60 - 4*j**4/3 + 10*j**3/3 + 2473*j**2. Factor f(q).
-(q - 10)*(q - 2)*(q - 1)
Let p(n) be the second derivative of -n**4/4 - 4*n**3 + 2*n + 113. Suppose p(d) = 0. What is d?
-8, 0
Let p = -7/1389 + 1859/1389. Suppose c + 0 = 2. Factor -c*n - p - 2/3*n**2.
-2*(n + 1)*(n + 2)/3
Let j be (1 - -7) + 80/8 + -15. Let c be ((-880)/924)/((-2)/j). Solve c + 12/7*b + 2/7*b**2 = 0 for b.
-5, -1
Let h(n) be the second derivative of -124*n - 13/12*n**4 - 3/2*n**2 + 0 - 8/3*n**3. Factor h(j).
-(j + 1)*(13*j + 3)
Let o(p) = p**3 + 16*p**2 + 21*p - 36. Let b be o(-9). Let c = b - 340. Suppose 5/7*s**3 + 3/7*s**5 + 0*s - s**4 + 0 - 1/7*s**c = 0. Calculate s.
0, 1/3, 1
Let v(n) = -8*n - 125. Let m be v(-16). Factor -80*i**2 - 24*i + 3*i**m + 0 + 101*i**2 + 0.
3*i*(i - 1)*(i + 8)
Suppose 182*f - 935 = -38*f + 33*f. Factor 0*o - 34/11*o**3 - 2/11*o**f + 0 - 16/11*o**2 - 20/11*o**4.
-2*o**2*(o + 1)**2*(o + 8)/11
Let j(b) be the first derivative of b**8/15960 - b**7/2660 + b**6/1710 - 77*b**3/3 - 90. Let y(h) be the third derivative of j(h). What is d in y(d) = 0?
0, 1, 2
Let w(u) be the second derivative of -u**7/105 + 4*u**6/15 - 29*u**5/30 + 7*u**4/6 + 101*u**2/2 - 180*u. Let f(v) be the first derivative of w(v). Factor f(i).
-2*i*(i - 14)*(i - 1)**2
Let r(q) be the second derivative of q**5/100 + 313*q**4/60 + 1231*q**3/30 - 309*q**2/2 + 748*q - 1. Factor r(t).
(t - 1)*(t + 5)*(t + 309)/5
Let u(j) be the first derivative of -14596*j**3/21 - 7300*j**2/7 - 4*j/7 - 4790. Factor u(c).
-4*(c + 1)*(3649*c + 1)/7
Let s = -48 + 51. Let f(g) be the first derivative of 5*g + 18*g**2 + g**s + 7 + 31*g + 0*g**3 + 72*g. Factor f(w).
3*(w + 6)**2
Let n = -203080 + 812323/4. Factor 12 + n*t**2 + 51/4*t.
3*(t + 1)*(t + 16)/4
Let a be ((-6)/64)/((-67)/(-134))*(-8)/18. Let j(g) be the first derivative of a*g**4 + 1/9*g**3 + 16 - 1/15*g**5 + 0*g - 1/6*g**2. Factor j(x).
-x*(x - 1)**2*(x + 1)/3
Let o = 943256/9 - 104806. Factor -4/9 - o*x + 2/9*x**2.
2*(x - 2)*(x + 1)/9
Suppose -417732 + 758*p**2 - 36662 - 385*p**2 - 457251 - 378*p**2 - 4270*p = 0. Calculate p.
-427
Suppose 0 = h + 4, -14455*k + 14457*k + 4 = -3*h. Suppose 0*b**k + 0*b**2 - 2/15*b + 4/15*b**3 + 0 - 2/15*b**5 = 0. Calculate b.
-1, 0, 1
Let o(u) be the second derivative of -u**7/70 + 6*u**6/25 - 3*u**5/2 + 21*u**4/5 - 9*u**3/2 + 468*u. What is i in o(i) = 0?
0, 1, 3, 5
Let p(x) be the second derivative of x**6/15 - x**5/2 - 47*x**4/3 + 104*x**3/3 + 192*x**2 - 10934*x. Let p(g) = 0. What is g?
-8, -1, 2, 12
Let h be 1218/(-464) - 4*(3/4)/(-1). Let l(n) be the first derivative of 3*n**2 + 1/2*n**3 - 6*n - h*n**4 + 8. Determine o so that l(o) = 0.
-2, 1, 2
Let j(m) be the first derivative of 0*m**3 + 30 - 1/140*m**5 + 0*m - 5/2*m**2 - 1/28*m**4. Let s(r) be the second derivative of j(r). Let s(y) = 0. What is y?
-2, 0
Let j be (-15)/(-540) - 938/(-2520). Solve -j*q**2 + 24/5*q - 72/5 = 0.
6
Suppose 7*s - 3*x - 687 = 4*s, 5*x = 2*s - 455. Let p = s - 227. What is z in -4/21 + 4/21*z**p - 4/21*z**4 - 2/21*z**5 + 8/21*z**2 - 2/21*z = 0?
-2, -1, 1
Let y(h) be the first derivative of h**4/4 - 2*h**3 - 15*h**2/2 - 11*h + 108. Let m(u) be the first derivative of y(u). Factor m(t).
3*(t - 5)*(t + 1)
Let t(y) be the third derivative of -37*y**7/210 + 13*y**6/3 - 599*y**5/15 + 460*y**4/3 - 32*y**3 - 54*y**2 + 14. Solve t(c) = 0 for c.
2/37, 4, 6
Let l = 82646 - 82641. Determine k so that -1/6*k**4 + 1/6*k**l + 0 - k**3 + 0*k**2 + 0*k = 0.
-2, 0, 3
Factor -1171/2*w**2 + 524*w + 50 + 23/2*w**3.
(w - 50)*(w - 1)*(23*w + 2)/2
Suppose -v = w - 35, 5*w - 76 = -3*v + 97. Determine u so that -30 - 62*u - 683*u**3 - w*u**2 - 685*u**3 + 1366*u**3 = 0.
-15, -1
Let b be 10 + (-34200)/4300 + 6/(-129). Determine n, given that -1 - 5/4*n**b - 2*n - 1/4*n**3 = 0.
-2, -1
Let c(w) be the second derivative of -2*w**6/15 + 2*w**5/5 + w**4 + 2606*w. Determine s, given that c(s) = 0.
-1, 0, 3
Let k(n) be the second derivative of -n**6/24 - 5*n**5/12 - 5*n**4/6 - 29*n**2 - 167*n. Let x(r) be the first derivative of k(r). Find j such that x(j) = 0.
-4, -1, 0
Determine y, given that -879 - 3/2*y**2 + 885/2*y = 0.
2, 293
Let a(c) be the second derivative of c**7/504 - c**6/16 - 5*c**5/12 + c**4/3 + 5*c**3/6 - 5*c + 2. Let g(b) be the third derivative of a(b). Factor g(o).
5*(o - 10)*(o + 1)
Let l(g) = -4*g**2 - 2*g - 13. Let y(o) = 7*o**2 + o + 9. Let s(v) = -6*v**2 - v - 8. Let w(i) = -6*s(i) - 5*y(i). Let j(d) = -6*l(d) - 26*w(d). Factor j(k).
-2*k*(k + 7)
Let -171/4*q**3 + 3/2*q + 339/4*q**2 + 0 = 0. Calculate q.
-1/57, 0, 2
Suppose 71*p - 206 = -248*p + 1070. Suppose -1 = -3*r + 5. Let 1/3*v - 1/3*v**p - 1/3*v**3 + 1/3*v**r + 0 = 0. What is v?
-1, 0, 1
Let z = 62 - 46. Suppose -4*k - z = 0, 0*v + 2*k + 68 = 4*v. Find l, given that 5*l**2 + 35 - v*l + 0*l**2 - 35 = 0.
0, 3
Factor -1599/7*q**2 - 151419437/7 + 1/7*q**3 + 852267/7*q.
(q - 533)**3/7
Let j(y) be the third derivative of 7 - 5/6*y**4 + 2*y**2 + 28/3*y**3 + 0*y - 8/15*y**5 - 1/30*y**6. Solve j(m) = 0.
-7, -2, 1
Let d = -333 - -339. Let s(f) be the first derivative of -34 - 2/15*f**3 + 0*f + 0*f**5 + 0*f**2 - 3/20*f**4 + 1/30*f**d. Let s(t) = 0. Calculate t.
-1, 0, 2
Let i be (-36)/(-24)*(1 + 1). Find g, given that 27*g + 11*g**3 + 20*g**2 + 14*g**i - 32*g = 0.
-1, 0, 1/5
Let k(y) be the second derivative of 0*y**2 - 12*y + 0*y**3 - 1/255*y**6 + 0 + 1/170*y**5 + 1/51*y**4. What is c in k(c) = 0?
-1, 0, 2
Let p(f) = f - 3. Let h be p(-3). Let r be (h/4 + 0)/(3/(-224)). Solve -124*y**3 + 28*y**2 - 88*y**3 + 24*y - 89*y**3 - 228*y**4 - 35*y**3 + r*y**5 = 0 for y.
-1, -1/4, 0, 2/7, 3
Let u(y) be the third derivative of -y**7/945 - y**6/60 - 7*y**5/90 + y**4/108 + 10*y**3/9 + 6*y**2 + 152*y. Solve u(g) = 0.
-5, -3, -2, 1
Let y be 968/847*(-182)/(-260). Factor 4/5*m**3 + 0 - y*m + 6/5*m**2.
2*m*(m + 2)*(2*m - 1)/5
Let c(a) be the third derivative of 5/6*a**4 + 50*a**3 - 1/30*a**6 + 0 + 0*a - 148*a**2 - 7/15*a**5. Factor c(s).
-4*(s - 3)*(s + 5)**2
Let b(h) be the second derivative of 19/4*h**4 - 325*h + 0 - 3/20*h**5 + 0*h**3 + 0*h**2. Factor b(v).
-3*v**2*(v - 19)
Suppose 78/5*n**4 + 0 + 3/5*n**5 + 147/5*n**3 + 0*n + 72/5*n**2 = 0. What is n?
-24, -1, 0
Let b = -51015 - -51017. Factor -162/5*n**b + 288/5*n - 128/5.
-2*(9*n - 8)**2/5
Let a be (96/30)/(4/30). Let 59 + 8*l + 6*l**2 - 35 - 2*l**3 + a*l = 0. Calculate l.
-2, -1, 6
Find t, given that 2 + 79 + 147 - 100*t**2 - 85*t - 2 - 36 - 5*t**3 = 0.
-19, -2, 1
Let l(r) be the third derivative of 0 - 1/36*r**4 + 0*r - 330*r**2 - 5/54*r**3 - 1/540*r**5. Find w, given 