**4 - f**3 + 5*f**3 - z*f**3 - 28*f**2 + 24 + 20*f.
4*(f - 6)*(f - 1)*(f + 1)**2
Let g(d) = 4*d**2 + 8*d + 6. Suppose -5*x + 15*x - 20 = 0. Let y(u) = 7*u + 5 + 28*u**2 + u + 1 - 23*u**x. Let a(v) = 3*g(v) - 2*y(v). Factor a(r).
2*(r + 1)*(r + 3)
Let c(k) be the third derivative of -k**6/900 - k**5/150 + 2*k**4/15 + 3*k**3 + 28*k**2. Let b(h) be the first derivative of c(h). Factor b(y).
-2*(y - 2)*(y + 4)/5
Let b(l) be the third derivative of 13*l**2 - 1/192*l**6 + 5 + 1/16*l**3 - 1/160*l**5 + 5/192*l**4 + 0*l. Let b(u) = 0. What is u?
-1, -3/5, 1
Let q = -1359/49 + 19163/539. Find f such that 2 + q*f - 8/11*f**2 = 0.
-1/4, 11
Let v(p) = -27*p**2 + 953*p - 9218. Let r(f) = 7*f**2 - 237*f + 2306. Let i(z) = 11*r(z) + 3*v(z). Factor i(q).
-4*(q - 52)*(q - 11)
Let z(q) = -40*q**2 + 268*q - 60. Let y(k) = -27*k**2 + 178*k - 40. Let p be 1 + 4 + -11 + (2 - 1). Let g(b) = p*z(b) + 8*y(b). Let g(j) = 0. Calculate j.
1/4, 5
Suppose -192/5*m**4 + 33/5*m - 48*m**3 + 42*m**2 - 18/5 + 207/5*m**5 = 0. Calculate m.
-1, -1/3, 6/23, 1
Determine k, given that 170*k**2 - 2*k**3 - 2*k**3 + 3*k**3 - 222*k + 582*k - 4*k**3 = 0.
-2, 0, 36
Let a(t) be the first derivative of -2*t**3/15 - 34*t**2/5 - 90*t - 5242. Factor a(g).
-2*(g + 9)*(g + 25)/5
Let f(p) = 44*p**4 - 26*p**3 + 22*p**2 + 8*p - 6. Let s(y) = -10*y**4 + y**3 + y**2 + 1. Let d(x) = -f(x) - 6*s(x). Factor d(w).
4*w*(w - 1)*(w + 2)*(4*w + 1)
Determine z, given that 46 - 131*z - 20*z**2 - 7 + 13 - 184*z + 28 = 0.
-16, 1/4
Let u(b) be the second derivative of b**5/15 + 116*b**4/9 - 2*b**3/9 - 232*b**2/3 - 78*b. What is k in u(k) = 0?
-116, -1, 1
Let w be (-3)/((-627)/(-44) - (-14 + 29)). Find j such that -2/3*j**4 - 2/3*j**3 + 2/3*j + 14/3*j**2 - w = 0.
-3, -1, 1, 2
Let t(q) = -84*q + 131. Let c be t(5). Let v = c + 292. Solve 2*n + v*n**2 + 1/2 + 1/2*n**4 + 2*n**3 = 0 for n.
-1
Let l be (-17 + 19)/(14/(-2616)). Let w = l - -9052/21. Solve -w*b - 27*b**3 - 40/3 - 78*b**2 + 9*b**4 = 0.
-2/3, 5
Let f = 3414 + -3409. Let c(k) be the first derivative of 0*k**2 - k**6 + 3 + 3*k - 4*k**3 + 3/2*k**4 + 9/5*k**f. Solve c(b) = 0 for b.
-1, -1/2, 1
Let z(p) = p**4 + p**3 - 3*p**2 + 5*p. Let w(v) = 2*v**4 - 79*v**3 - 2166*v**2 - 17201*v + 19456. Let f(b) = -2*w(b) + 6*z(b). Let f(y) = 0. What is y?
-32, -19, 1
Let j be 0/((-20)/4 + (-16)/(-8)). Let p(r) be the second derivative of 0*r**4 + 11*r + j - 1/15*r**6 + 0*r**2 + 0*r**3 + 0*r**5. Factor p(l).
-2*l**4
Let c(k) be the first derivative of k**6/24 - 356*k**5/5 - k**4/8 + 712*k**3/3 + k**2/8 - 356*k + 12858. What is a in c(a) = 0?
-1, 1, 1424
Suppose -247 = -42*f - 95 + 16. Solve 27/2*x**2 - 21/2*x**f - 3 - 15/2*x + 15/2*x**3 = 0 for x.
-1, -2/7, 1
Let d = 730 - 728. Let p(h) be the second derivative of 1/5*h**5 + 0 - 15*h + 0*h**4 + 12*h**d - 14/3*h**3. Factor p(b).
4*(b - 2)*(b - 1)*(b + 3)
Let s(k) be the second derivative of -k**4/54 - 32*k**3/27 + 54*k + 3. Find o, given that s(o) = 0.
-32, 0
Factor 114/7*s + 6/7*s**2 + 72.
6*(s + 7)*(s + 12)/7
Let p(u) = 2*u**2 - 231*u + 2579. Let r be p(103). Let -24/5 - 64/5*x - 2/5*x**4 - 58/5*x**2 - r*x**3 = 0. Calculate x.
-6, -2, -1
Let l(r) = -2*r**3 + 19*r**2 - 4*r - 43. Let y be l(9). Factor -11*i**2 - 13*i**y + 25*i + 54 + 41*i**2 - 18*i**2.
-(i - 27)*(i + 2)
Let x = -25550/9 + 51109/18. Factor x*o**2 + 3/2 + 2*o.
(o + 1)*(o + 3)/2
Let x = -70 + 400. Let p(q) = -x*q**2 + 62 + 81*q**3 - 42 - 356*q**3 - 35*q. Let u(h) = -h**2 - h. Let j(a) = -p(a) - 5*u(a). Factor j(k).
5*(k + 1)*(5*k + 2)*(11*k - 2)
Suppose -14/3*c + 8/3 - 1/3*c**3 + 7/3*c**2 = 0. What is c?
1, 2, 4
Let o(k) = -k**3 - k**2 + 32*k - 1. Let i(n) = -20666*n**3 + 18676*n**2 + 1912*n + 49. Let l(f) = i(f) + o(f). Suppose l(z) = 0. What is z?
-4/83, 1
Suppose -3*q = -3*r - 6, 4*r = -3*q + 1 + 5. Let g(k) be the second derivative of -1/6*k**6 + r*k**2 - 5/3*k**3 + 5/4*k**4 - 6*k + 0 + 0*k**5. Factor g(h).
-5*h*(h - 1)**2*(h + 2)
Let c(b) be the third derivative of b**5/75 - 26*b**4/5 - 1160*b**2. Factor c(i).
4*i*(i - 156)/5
Let i = -22 + 32. Let h be 1632/80 + (-4)/i. What is w in 35*w**2 + 11 + 4 - 30*w - 30*w - 10*w**3 + h*w = 0?
1, 3/2
Suppose 0 = 5*b - 10*b + 25. Suppose b*m + 0*m - 10 = 0. Factor 5*u**4 + 0*u - 2*u**5 + 2*u - u**4 - 2*u**2 - 2*u**m.
-2*u*(u - 1)**3*(u + 1)
Let d(m) be the third derivative of -m**6/540 - 7*m**5/135 - 16*m**4/27 - 32*m**3/9 - 495*m**2. Determine f so that d(f) = 0.
-6, -4
Let b(m) = -m**3 + m**2 + 2*m - 2. Let o(d) = 14*d**3 + 398*d**2 + 872*d - 420. Let v(c) = -6*b(c) + o(c). Solve v(n) = 0 for n.
-17, -3, 2/5
Factor -1/7*s**2 - 15*s + 106/7.
-(s - 1)*(s + 106)/7
Let u = -397/2 + 1193/6. Factor -u*p**2 - 289/3 - 34/3*p.
-(p + 17)**2/3
Let p(k) be the first derivative of 3/2*k**4 + 8*k + 35/3*k**2 - 2/15*k**5 - 57 + 22/3*k**3. Factor p(f).
-2*(f - 12)*(f + 1)**3/3
Let b be -1*1/(-4) + (((-3762)/72)/(-11) - 3). Solve -2/9*s**2 + 0*s + b = 0.
-3, 3
Suppose 69*p - 41*p - 52*p + 72 = 0. Let i(y) be the first derivative of -19 + y**2 + 4/3*y - 10/9*y**p. Factor i(g).
-2*(g - 1)*(5*g + 2)/3
Let -441*u**4 - 226*u + 6*u**5 + 212*u**3 + 92 + 8*u**5 + 560*u**4 - 424*u**2 + 213*u**4 = 0. What is u?
-23, -1, 2/7, 1
Let z(r) be the first derivative of -2*r**6/45 + 14*r**5/25 - 53*r**4/30 + 14*r**3/15 + 11*r**2/3 - 28*r/5 - 459. Suppose z(n) = 0. Calculate n.
-1, 1, 3/2, 2, 7
Let u(s) be the third derivative of s**6/120 + 67*s**5/60 - 47*s**4/8 - 69*s**3/2 - 1462*s**2. Determine z so that u(z) = 0.
-69, -1, 3
Let v = -4164 - -4166. Let q(w) be the second derivative of 0*w**2 + v*w + 1/22*w**5 - 1/55*w**6 + 0*w**3 + 0 - 1/33*w**4. Determine h so that q(h) = 0.
0, 2/3, 1
Let i(f) be the third derivative of f**5/60 - f**4/6 - 5*f**3/6 - 10*f**2 + 117. Factor i(l).
(l - 5)*(l + 1)
Let h(v) = -v**3 + 1126*v**2 - 51874*v. Let u(p) = p**3 - 562*p**2 + 25939*p. Let q(m) = -2*h(m) - 5*u(m). Factor q(f).
-3*f*(f - 93)**2
Let n(b) be the third derivative of 0*b + 0 + 63*b**2 - 35/8*b**4 + 9/2*b**3 + 1/14*b**7 + 5/2*b**5 + 1/112*b**8 - 3/4*b**6. Determine o so that n(o) = 0.
-9, 1
Let z(y) be the third derivative of 2*y**7/105 - 14*y**6/15 - 493*y**5/15 + 260*y**4/3 + 3*y**2 - 1384*y. Factor z(p).
4*p*(p - 40)*(p - 1)*(p + 13)
Let k(r) = r**3 - 26*r**2 + 124*r - 4075. Let u be k(27). Factor -2/15*b**3 + 8/3 + 32/15*b + 2/15*b**u.
-2*(b - 5)*(b + 2)**2/15
Suppose -3*d = 2*z + 58, -3*z + 2*d - 6*d = 87. Let m be (z/116)/((-86)/(-48) - 2). Factor m - 3/5*g**2 - 3/5*g.
-3*(g - 1)*(g + 2)/5
Let o be ((-57)/95)/((-2)/20). Let g(w) = -w**2 - 10*w + 7. Let j be g(-10). Factor 11*s + 4 - j*s + o*s - 10*s**2 + 8*s.
-2*(s - 2)*(5*s + 1)
Let x = 4746 - 711899/150. Let g(z) be the second derivative of 0*z**4 + 0*z**3 - z + 0 + 1/100*z**5 - x*z**6 + 0*z**2. What is w in g(w) = 0?
0, 1
Determine q so that -1212*q**2 + 21*q**4 + 19200 + 3/2*q**5 - 480*q - 69/2*q**3 = 0.
-8, 5
Let a be (-455)/26*(398/(-30) + -3). Let c = a - 284. Determine z so that -1/9*z**2 - c - 5/9*z = 0.
-3, -2
Let b be ((-8)/77)/(28/245*(-485)/194). Factor 0*f + 0 + 10/11*f**3 + 2/11*f**5 + b*f**2 + 8/11*f**4.
2*f**2*(f + 1)**2*(f + 2)/11
Factor 420*k - 2*k**3 + 3*k**2 + 31*k**2 + 40*k**2.
-2*k*(k - 42)*(k + 5)
Let c = -8536 - -8554. Let i(w) be the second derivative of -2/3*w**3 + 12/5*w**2 + 0 - 1/15*w**4 + c*w. Solve i(j) = 0.
-6, 1
Let a(s) be the third derivative of -s**7/1365 - 8*s**6/39 - 240*s**5/13 + 1440000*s**3/13 - 118*s**2 - 6*s. Determine t so that a(t) = 0.
-60, 20
Let d = 72 - 64. Suppose 8*t + 5*v + 5 = 3*t, 0 = -2*v - d. Factor -4*p**3 + 6 + 52*p - 5*p**3 - 7*p**t - 52*p**2 + 10.
-4*(p - 1)*(p + 4)*(4*p + 1)
Let h(c) be the first derivative of c**6/3 + 302*c**5/15 + 71*c**4/9 - 808*c**3/27 - 200*c**2/9 - 160. What is g in h(g) = 0?
-50, -2/3, 0, 1
Suppose j + 4*j + 0*j - 20 = 0. Let p(k) be the second derivative of 0 + 13/3*k**3 - 2/5*k**5 + j*k**2 - 8*k - 13/6*k**4. Factor p(n).
-2*(n - 1)*(n + 4)*(4*n + 1)
What is q in -2/9*q**4 - 2/9*q**2 - 40/9*q + 8/3 - 4/9*q**5 + 8/3*q**3 = 0?
-2, 1, 3/2
Suppose 17*l = 36*l - 15*l. Factor l*w**2 - 106 - 6*w + 110 + 2*w**2.
2*(w - 2)*(w - 1)
Let y(r) = -6*r**4 - 27*r**3 + 9*r**2 + 27*r - 18. Let n(z) = z**4 + z**3 + 3*z**2 - z - 1. Let i(g) = 10*n(g) + 2*y(g). Factor i(h).
-2*(h - 1)**2*(h + 1)*(h + 23)
Let f = -63 + 65. Suppose