*x + 5*x + 58*x - 3*x**3 - 59*x**2 = 0 for x.
-26, 1
Solve -1 + 9 - 3*x**3 + x**2 - 6*x**2 - 2*x + 2*x**3 = 0 for x.
-4, -2, 1
Let m(p) be the second derivative of -35*p**4/72 + 685*p**3/9 - 65*p**2 - 2*p - 23. Factor m(k).
-5*(k - 78)*(7*k - 2)/6
Let p(y) = 2 - 3*y - 7*y**2 + 13*y**2 - 5*y**2. Let d be p(2). Let 0 + d*j - 3*j**4 - 3/2*j**3 - 3/2*j**5 + 0*j**2 = 0. What is j?
-1, 0
Suppose 296 = 9*k + 269. Factor -1/5*g**2 + 0 + 0*g + 2/5*g**k - 1/5*g**4.
-g**2*(g - 1)**2/5
Let s be (44/(-42) - 6/(-3))*7. Determine m, given that 25*m + 20/3 - s*m**2 = 0.
-1/4, 4
Let i(p) be the first derivative of 4*p**5/5 - 6*p**4 + 52*p**3/3 - 24*p**2 + 16*p - 125. Determine s so that i(s) = 0.
1, 2
Let l be 16 + (-11 - (-17 + 18)). Suppose -2/7*f**l - 18/7*f**2 + 0 + 12/7*f**3 + 8/7*f = 0. Calculate f.
0, 1, 4
Let c(m) = -5*m**5 - 9*m**3 + 5*m**2 - 3*m + 3. Let v(s) = 44*s**5 - 2*s**4 + 80*s**3 - 44*s**2 + 26*s - 26. Let n(l) = -52*c(l) - 6*v(l). Factor n(h).
-4*h**2*(h - 1)**3
Suppose -25 = 3*a + 2*a. Let v(j) = j**2 + 4*j - 3. Let z be v(a). Determine f so that -12 + z*f**2 - 2*f**2 - 8*f - 2*f**2 + 4 = 0.
-2
Suppose -7*c = 3*c - 60. Determine i so that -9*i + 54*i**4 - 6*i**2 + c + 9*i**3 + 3*i**2 - 57*i**4 = 0.
-1, 1, 2
Suppose -12 = 3*p, 2*y + p + 9 = 15. What is s in 9/7*s**3 + 0 + 3/7*s**y + 12/7*s**4 - 12/7*s**2 - 12/7*s = 0?
-2, -1, 0, 1
Factor 7/2*o - 1/4*o**2 + 51/4.
-(o - 17)*(o + 3)/4
Let n(b) be the second derivative of 18*b + 8/27*b**3 + 1/18*b**4 + 0 + 4/9*b**2. Find u such that n(u) = 0.
-2, -2/3
Let 4*b**4 - 2 - 6*b**3 + 15*b**3 + 2*b**4 - 4*b - 4*b**4 - 5*b**3 = 0. Calculate b.
-1, 1
Let k(j) be the third derivative of 3*j**7/280 - j**6/90 + j**5/270 + 7*j**3/3 + 9*j**2. Let h(s) be the first derivative of k(s). Factor h(f).
f*(9*f - 2)**2/9
Let k be 0*(-2 - (-1 - 0)). Let n = 10415 + -10413. Factor 1/4*y + k + 1/8*y**n.
y*(y + 2)/8
Let a(y) = 70*y + 490. Let r be a(-7). Factor 10/3*m**2 + 0*m + 20/3*m**4 + r + 25/3*m**3 + 5/3*m**5.
5*m**2*(m + 1)**2*(m + 2)/3
Let f be 33/39 + -1 + (-1520)/(-247). Let y(u) be the second derivative of -f*u + 0 + 1/24*u**3 + 0*u**2 + 1/48*u**4. Factor y(k).
k*(k + 1)/4
Suppose 3*n + 419 - 398 = 0, x - 5*n - 38 = 0. Solve -1/5*k**4 + 0 - 4/5*k**x + 0*k + k**2 = 0 for k.
-5, 0, 1
Let t be 1 + 16/(-4) + 136/1. Solve -133 + m**4 + t + 3*m**4 - 8*m**3 + 4*m**2 = 0.
0, 1
Factor 6*g**4 + 167*g - 2*g**4 - 56*g**3 + 100*g**2 - 215*g.
4*g*(g - 12)*(g - 1)**2
Let y = -898/5 + 48493/270. Let w(u) be the third derivative of 0*u + 0*u**4 + 4*u**2 - 1/270*u**6 + y*u**5 + 0*u**3 + 1/945*u**7 + 0. Solve w(i) = 0 for i.
0, 1
Let v(t) = 3*t**4 - 18*t**3 - 9*t**2 + 6*t - 6. Let o(c) = -c**4 - c**2 - c + 1. Let h(w) = -6*o(w) - v(w). Factor h(u).
3*u**2*(u + 1)*(u + 5)
Let l(b) be the second derivative of -b**7/840 + b**6/120 - b**5/40 - b**4/6 - 16*b. Let f(u) be the third derivative of l(u). Find h, given that f(h) = 0.
1
Let a(j) be the second derivative of 0*j**4 + 3/50*j**5 - 1/50*j**6 + 3/10*j**2 - 1/5*j**3 - 7*j + 0. Solve a(p) = 0 for p.
-1, 1
Let f(c) be the third derivative of c**5/120 - 19*c**4/24 + 361*c**3/12 - 282*c**2. Factor f(o).
(o - 19)**2/2
Let s(d) be the second derivative of d**5/60 + d**4/12 - 4*d**3/3 - 40*d**2/3 - 2*d - 513. Factor s(p).
(p - 5)*(p + 4)**2/3
Let a(v) be the second derivative of -v**6/90 - v**5/12 + v**4/36 + 5*v**3/18 + 40*v - 2. Determine m so that a(m) = 0.
-5, -1, 0, 1
Let w(d) be the second derivative of -d**4/3 - 20*d**3 - 450*d**2 + 3*d + 63. Factor w(h).
-4*(h + 15)**2
Factor -4 - 14/3*s - 2/3*s**2.
-2*(s + 1)*(s + 6)/3
Find x such that 38/21*x**3 - 8/7*x + 0 + 64/21*x**2 = 0.
-2, 0, 6/19
Let m(w) be the second derivative of w**7/63 + 7*w**6/45 + 11*w**5/30 + 5*w**4/18 - 142*w. Factor m(q).
2*q**2*(q + 1)**2*(q + 5)/3
Let z = 19/140 + 503/420. Factor -4/3*v**3 + 1/3*v**4 - z*v + 2*v**2 + 1/3.
(v - 1)**4/3
Let p(c) be the first derivative of -c**4/16 - 13*c**3/2 - 507*c**2/2 - 4394*c + 51. Factor p(n).
-(n + 26)**3/4
Let f(a) be the first derivative of -33*a**4/16 + 23*a**3/4 - 9*a**2/2 - 239. Solve f(q) = 0 for q.
0, 1, 12/11
Let z be (-1*2/6)/(-1 - 15/(-18)). Factor -6/13 - 2/13*p**3 + 10/13*p - 2/13*p**z.
-2*(p - 1)**2*(p + 3)/13
Let q(t) be the first derivative of 0*t + 2/3*t**4 + 1/90*t**6 - 2/15*t**5 + 8 + 0*t**2 - 10/3*t**3. Let k(m) be the third derivative of q(m). Factor k(z).
4*(z - 2)**2
Let g be (-6)/4*32/18*-1. Suppose -5*c - 15 = 5*x, -1 = -2*c - c - x. Solve 0 + g*m**2 - c*m**4 - 2/3*m**5 + 0*m**3 + 0*m = 0.
-2, 0, 1
Solve 3*i**2 - 12*i - 6 + 8 + 5 + 2 = 0.
1, 3
Let v be 12 - (5 - -27)/4. What is s in 4/7*s**v + 0 - 36/7*s**2 - 8/7*s - 36/7*s**3 + 12/7*s**5 = 0?
-1, -1/3, 0, 2
Let t(p) = -p - 5. Suppose 4*o + 24 = 2*y, -3 = 2*o - 3*y + 5. Let s be t(o). Factor 20*b - 16*b**s + b**3 + 3*b**3 - 12 + 12 - 8.
4*(b - 2)*(b - 1)**2
Suppose 13 - 85 = -12*t. Let s(h) be the second derivative of 0 - 4*h**3 + 9/4*h**t - 3*h**2 + 123/20*h**5 - 6*h + 25/8*h**4. Find n such that s(n) = 0.
-1, -2/9, 2/5
Let s(z) = 64*z**4 + 70*z**3 + 4*z**2 - 44*z. Let y(o) = 13*o**4 + 14*o**3 + o**2 - 9*o. Let p(a) = 3*s(a) - 14*y(a). Factor p(u).
2*u*(u + 1)**2*(5*u - 3)
Let m(p) = p**5 - 3*p**2 + p. Let j(u) = -34*u**5 + 25*u**4 + 95*u**3 - 3*u**2 - 69*u - 10. Let c(o) = -j(o) - 4*m(o). Solve c(r) = 0.
-1, -1/6, 1, 2
Let c = -65 + 70. Factor 2*z**3 - c*z**3 - 9*z + 18*z + 6*z**2.
-3*z*(z - 3)*(z + 1)
Let u(d) be the third derivative of -d**9/7560 + d**8/1680 + d**7/420 + 5*d**4/6 - 22*d**2. Let n(w) be the second derivative of u(w). Factor n(m).
-2*m**2*(m - 3)*(m + 1)
Let r(z) be the third derivative of -25/6*z**3 + 5/6*z**4 - 12*z**2 + 0*z + 0 + 1/12*z**5. Find a, given that r(a) = 0.
-5, 1
Let f = 409/5 + -403/5. Factor 0 + f*k - 3/5*k**2.
-3*k*(k - 2)/5
Let a be 86/(-120) + 2 + (-190)/228. Let b(v) be the second derivative of 0 + 1/10*v**6 + 3*v + 0*v**4 + 0*v**2 + a*v**5 + 0*v**3. Factor b(j).
3*j**3*(j + 3)
Suppose -2*j + 4*m - 1 = -7, 3*j - 17 = -2*m. Find i, given that -2 + j*i**5 - 16*i**4 + 2 + 21*i**4 = 0.
-1, 0
Let c(i) = i**3 + 10*i**2 - 6*i + 58. Suppose 8*s + 55 = -33. Let f be c(s). Determine z, given that 9/2*z**3 - 3/2*z**4 + 3/2*z**2 - 3/2*z**5 - f*z + 0 = 0.
-2, -1, 0, 1
Suppose 4*d - 45 = -d. Let k = d + -6. Let 2*y - 8*y + k*y**3 + 0*y**4 + 2*y + y**4 = 0. Calculate y.
-2, 0, 1
Factor -66*n**2 - 21*n**3 - 30*n**2 + 60*n**2 - 3*n**4 + 12*n + 48.
-3*(n - 1)*(n + 2)**2*(n + 4)
Let o(a) be the first derivative of a**7/70 - a**6/20 + a**5/20 - 2*a**2 - 14. Let d(n) be the second derivative of o(n). Solve d(s) = 0 for s.
0, 1
Suppose -y + 12 = 4*q, 18*q = 21*q - 6. Let z(l) be the second derivative of 7*l + 1/6*l**y + 0*l**2 + 1/3*l**3 + 0. Factor z(x).
2*x*(x + 1)
Let v(d) be the first derivative of 32/3*d**3 + 2/3*d + 32/3*d**4 + 10 + 4*d**2. Factor v(k).
2*(4*k + 1)**3/3
Let l be (16*3/(-6))/(-2). Solve 0 - 2/7*p**5 - 2/7*p**3 + 6/7*p**l - 6/7*p**2 + 4/7*p = 0 for p.
-1, 0, 1, 2
Suppose 78*o - 431 + 119 = 0. Let 0 + o*a - 4/3*a**2 = 0. What is a?
0, 3
Let j(o) be the first derivative of -o**6/1440 - o**5/30 - 2*o**4/3 - 26*o**3/3 + 41. Let h(r) be the third derivative of j(r). Factor h(f).
-(f + 8)**2/4
Let o(q) be the second derivative of 0*q**3 + 0 - 4/25*q**5 + 34*q + 14/75*q**6 - 4/105*q**7 - 4/15*q**4 + 0*q**2. Determine t so that o(t) = 0.
-1/2, 0, 2
Suppose 0 = 2*f + 3*f - 4*f. Let h(a) be the third derivative of f + 1/180*a**5 + 6*a**2 - 1/18*a**3 - 1/360*a**6 + 0*a + 1/72*a**4. What is g in h(g) = 0?
-1, 1
Suppose 3*j + 10 - 23 = 2*y, 12 = 3*j - 3*y. Factor 0*i + 0*i**2 + 1/6*i**j + 0 + 1/3*i**3 - 1/2*i**4.
i**3*(i - 2)*(i - 1)/6
Suppose -3*w - 23 = -5*j, 0 = j + 2*w + 1 - 3. Suppose -28 - 12 = -20*a. Factor -j + u**5 + 4 - u + 0*u + 2*u**4 - 2*u**a.
u*(u - 1)*(u + 1)**3
Let z(d) = -d - 4. Let g be z(-8). Suppose -200 = -4*o - g*k, -5*k + 202 = 6*o - 2*o. Factor -15*u**2 - o*u**3 - 12*u - 3 - 57*u**2 - 15*u.
-3*(u + 1)*(4*u + 1)**2
Let v(x) = x**4 - x + 1. Let o(p) = -7*p**4 - 3*p**3 - 3*p**2 + 5*p - 6. Let l = -2 + -4. Let m(n) = l*v(n) - o(n). Factor m(b).
b*(b + 1)**3
Let y be 8/6*((-36)/(-8))/3. Let q(d) be the third derivative of 0*d**5 + 1/168*d**8 - 2/315*d**7 + 0*d**4 + 0*d**6 - 4*d**y + 0*d**3 + 0 + 0*d. Factor q(p).
2*p**4*(3*p - 2)/3
Let t(q) be the 