/56. Let o be 2 - (-2)/(-1)*1. Factor 0 + k*f - 4/3*f**3 - 14/3*f**4 + o*f**2.
-2*f**3*(7*f + 2)/3
Factor 12 - 6*h + 2/3*h**2.
2*(h - 6)*(h - 3)/3
Let w(n) = n**2 - 2*n - 2. Let k be w(-4). Suppose 6*u = 38 + 4. Factor k*v**2 - 5*v**3 + 4*v + 30*v**3 + u*v**3 + 5*v**4 + 9*v**4.
2*v*(v + 1)**2*(7*v + 2)
Let r(t) be the third derivative of -t**7/126 + 5*t**6/36 - 7*t**5/9 + 5*t**4/3 - 55*t**2 - 3. Factor r(h).
-5*h*(h - 6)*(h - 2)**2/3
Let n(d) be the first derivative of d**6/360 - d**5/120 - d**4/12 - 8*d**3/3 - 11. Let q(f) be the third derivative of n(f). Let q(w) = 0. Calculate w.
-1, 2
Let a be (-2*3)/((-27)/18). Let l = 5 - 2. Factor a*y**4 + 12*y**2 - 3*y**l - 7*y**3 - 4*y - 2*y**3.
4*y*(y - 1)**3
Let a be 1010/110 + -9 + ((-470)/88)/(-5). Let -1/4*f**2 + 1/4*f**4 + 1/4*f**5 - a*f**3 + 2*f - 1 = 0. Calculate f.
-2, 1
Let d(s) = 2*s**3 + 11*s**2 + 7*s + 12. Let m be d(-5). Find r, given that 2*r**3 - m*r - 4/9 + 4/9*r**2 = 0.
-1, -2/9, 1
Let x(v) be the second derivative of -14*v + 0 + 0*v**2 - 1/96*v**4 + 1/160*v**5 + 0*v**3. Factor x(f).
f**2*(f - 1)/8
Factor 2/13 + 2/13*i**2 - 4/13*i.
2*(i - 1)**2/13
Let t(h) be the third derivative of -h**8/1344 + 7*h**6/480 + h**5/40 + 309*h**2. What is k in t(k) = 0?
-2, -1, 0, 3
Let c(i) = 2*i**2 + 4*i + 9. Let l be c(-3). Let -3 + 175*a**2 + 5*a**4 + 5*a**5 - l*a**3 + 3 + 10*a - 180*a**2 = 0. What is a?
-2, -1, 0, 1
Let k be 4/(-2) - -35 - 1. Let b = 21 - k. Let m(g) = 7*g**2 - g + 6. Let n(o) = -13*o**2 + 2*o - 11. Let i(y) = b*m(y) - 6*n(y). Solve i(s) = 0 for s.
0, 1
Let r = 213 + -208. Suppose 2*d - 5*h + 17 - 40 = 0, -d - 3*h - r = 0. Determine q so that -q**d + 0 + 1/2*q**3 + 0*q**2 + 1/2*q**5 + 0*q = 0.
0, 1
Factor 2/13*z**2 + 5832/13 + 216/13*z.
2*(z + 54)**2/13
Factor 0*z + 0 + 1/5*z**3 - 36/5*z**2.
z**2*(z - 36)/5
Factor -36 + 3*k**3 + 6*k**3 - 12*k + 381*k**2 - 120*k**3 + 48*k**3.
-3*(k - 6)*(3*k - 1)*(7*k + 2)
Suppose -106/7*z + 104/7 + 2/7*z**2 = 0. What is z?
1, 52
Let y(s) be the second derivative of -s**4/4 - s**3/2 - s**2/3 + 2*s + 8. Let y(o) = 0. What is o?
-2/3, -1/3
Suppose -5*p + 33*c + 23 = 32*c, c = -3*p + 17. Let r = 36 + -34. Determine l so that 16/3*l**r + 4*l - 6*l**4 - 4/3*l**3 - 8/3*l**p + 2/3 = 0.
-1, -1/4, 1
Let w(m) be the first derivative of 5/6*m**3 - 1/2*m**5 + 5/8*m**4 + 0*m + 16 - 5/4*m**2. Let w(v) = 0. What is v?
-1, 0, 1
Let m(i) be the third derivative of -i**8/1848 - i**7/231 - i**6/220 + 3*i**5/110 + 2*i**2 - 74*i. Suppose m(g) = 0. Calculate g.
-3, 0, 1
Let o(k) be the second derivative of -3*k**5/20 - 7*k**4/4 + k**3/2 + 21*k**2/2 - 7*k - 8. Factor o(f).
-3*(f - 1)*(f + 1)*(f + 7)
Let a = -4823/72 + 67. Let j(b) be the third derivative of a*b**4 + 1/360*b**6 + b**2 + 0*b**3 - 1/90*b**5 + 0*b + 0. Find i, given that j(i) = 0.
0, 1
Let m be ((-2)/20)/(6/(-15)). Let x = -476 + 480. What is h in 0 - 1/4*h**x - 3/4*h**3 - 3/4*h**2 - m*h = 0?
-1, 0
Let z(t) = -t**2 - 16*t + 27. Let k be z(-19). Let i be (k/(-35))/(16/98). Determine b so that -i*b**2 - 3 + 12*b = 0.
2/7, 2
Let o(m) = 34*m + 6. Let y be o(3). Let b be 8/(-14) + (y/140 - 0). Factor -b*n**4 + 0 + 3/5*n**3 - 2/5*n**2 + 0*n.
-n**2*(n - 2)*(n - 1)/5
Find q, given that 4*q**4 - 1463*q**3 + 2305*q**2 + 326*q**2 - 1050*q + 3*q**4 - 127*q**3 + 2*q**4 = 0.
0, 2/3, 1, 175
Let y be ((-35)/(-210))/((-1)/(-4)). Find t such that t + y + 1/3*t**2 = 0.
-2, -1
Find s such that -11*s - 23/2 + 1/2*s**2 = 0.
-1, 23
Let c(l) be the third derivative of -l**6/840 + 31*l**5/70 - 961*l**4/14 + 119164*l**3/21 + 4*l**2 - 2. Factor c(d).
-(d - 62)**3/7
Let s = -168/11 + 369/22. Factor -6*o**3 - 6*o + 9*o**2 + 3/2 + s*o**4.
3*(o - 1)**4/2
Let r(b) = -b**4 + b**3 - b**2 + 2*b - 2. Let j(q) = -28*q**3 + 4*q**2 + 22*q + 4. Let g(a) = j(a) + 2*r(a). Factor g(x).
-2*x*(x - 1)*(x + 1)*(x + 13)
Determine y, given that 1/6 + 1/6*y**4 + 2/3*y**3 + y**2 + 2/3*y = 0.
-1
Let q(s) be the first derivative of -27 + 57/10*s**4 - 3/2*s**6 + 0*s - 12/5*s**2 + 4/5*s**3 + 33/25*s**5. Determine o, given that q(o) = 0.
-1, -2/3, 0, 2/5, 2
Let o be ((-135)/18)/((-15)/10). Let h(b) be the third derivative of 0 + 0*b - 8*b**2 - 1/270*b**o + 2/27*b**4 - 16/27*b**3. Factor h(p).
-2*(p - 4)**2/9
Let d(i) be the first derivative of -2*i**3/21 + 50*i**2/7 - 1250*i/7 - 66. Find x, given that d(x) = 0.
25
Find v, given that 10/11*v**2 + 56/11 + 48/11*v = 0.
-14/5, -2
Let i(u) = -u**2 + 8*u + 1077. Let m be i(37). Find d such that -4*d**2 - 4/5*d**5 + 4/5*d**4 + m*d**3 + 16/5 - 16/5*d = 0.
-2, -1, 1, 2
Let o = 114 + -112. Let u be (13 - 13)*o/(-2). Solve -18/11*x**5 - 40/11*x**4 - 26/11*x**3 + u - 4/11*x**2 + 0*x = 0.
-1, -2/9, 0
Let 0 + 1/3*q + 14/3*q**2 = 0. What is q?
-1/14, 0
Let n = -114473/5 - -22895. Factor -288/5 - 48/5*w - n*w**2.
-2*(w + 12)**2/5
Let n(q) be the first derivative of -3*q**5/10 - 9*q**4/4 - 3*q**3/2 + 6*q**2 - 43*q - 44. Let w(a) be the first derivative of n(a). Factor w(p).
-3*(p + 1)*(p + 4)*(2*p - 1)
Let t be ((-4)/25)/(78/(-975)). Determine z, given that 0 - 4/9*z - t*z**2 - 8/9*z**3 = 0.
-2, -1/4, 0
Let i(j) = -j + 19. Let s be (((-6)/(-15))/((-3)/240))/(-2). Let h be i(s). Factor 3/5*a**4 - 2/5*a + 1/5*a**h + 0 + 1/5*a**5 - 3/5*a**2.
a*(a - 1)*(a + 1)**2*(a + 2)/5
Let s(l) be the first derivative of l**4/4 - 19*l**3/3 - 41*l**2/2 - 21*l - 93. Let s(o) = 0. Calculate o.
-1, 21
Let g = 174 - 145. Let a = g - 71/3. Suppose 20/3*v + 1 - 56/3*v**3 + a*v**4 + 17/3*v**2 = 0. Calculate v.
-1/4, 1, 3
Let b(n) be the third derivative of -n**7/840 + n**6/480 + n**5/40 - n**4/24 - n**3/3 - 31*n**2 - 1. Suppose b(w) = 0. Calculate w.
-2, -1, 2
Let p(f) = -f + 12. Let a be p(10). Let -74*s + 74*s - 2*s**a = 0. Calculate s.
0
Let t(r) be the first derivative of 2*r**6/15 + r**5/5 - r**4/3 - 2*r**3/3 - 32*r - 17. Let i(x) be the first derivative of t(x). Factor i(o).
4*o*(o - 1)*(o + 1)**2
Let i(l) be the first derivative of 5*l**4/4 + 130*l**3/3 + 845*l**2/2 - 64. Solve i(j) = 0 for j.
-13, 0
Suppose 0 = 20*q + 20*q. Let z(s) be the second derivative of s + 1/10*s**6 + q*s**2 + 1/42*s**7 + 0 + 3/20*s**5 + 0*s**3 + 1/12*s**4. Factor z(c).
c**2*(c + 1)**3
Let r(h) = 4*h**4 - 14*h**3 - 2*h**2 + 14*h + 2. Suppose 4 = z + 3. Let u(q) = -q**3 - q**2 - q + 1. Let j(m) = z*r(m) - 2*u(m). Find o, given that j(o) = 0.
-1, 0, 2
Let y = -6835 + 6837. Suppose 0 + 0*n - 2/11*n**4 + 4/11*n**y + 2/11*n**3 = 0. What is n?
-1, 0, 2
Suppose 18 = 3*x - 3*m + m, 2*m + 26 = 5*x. Factor 3*l + 30*l**4 - 2*l**2 - 7 - x*l**3 + 9 - 30*l**4 + l**5.
(l - 2)*(l - 1)*(l + 1)**3
Let s = 172/57 + 6/19. Let c(w) = -w**3 + 3*w**2 + 3*w + 1. Let i be c(-1). Determine x, given that -2*x**i + 6*x + 0 - 2/3*x**4 - s*x**3 = 0.
-3, 0, 1
Let c be -5*((-60)/(-6))/(-20). Factor -5*m**3 + 5/2*m**5 + 5/2*m**4 - 5*m**2 + c + 5/2*m.
5*(m - 1)**2*(m + 1)**3/2
Factor -5/4*r**3 + 0*r - 1/4*r**2 + 0 - 7/4*r**4 - 3/4*r**5.
-r**2*(r + 1)**2*(3*r + 1)/4
Let s(j) be the first derivative of 5*j**2 - 5/2*j**4 + 0*j - 25/3*j**3 + 30 + 5*j**5. Solve s(d) = 0.
-1, 0, 2/5, 1
Suppose 3*b + 3 = 3*x + b, -4*x + 27 = 5*b. Suppose -x*t + 32 = 26. Find z, given that -2/11*z + 0*z**t + 2/11*z**3 + 0 = 0.
-1, 0, 1
Let u(x) be the second derivative of x**7/189 - x**6/27 + x**5/15 + 2*x**4/27 - 8*x**3/27 - 29*x - 2. Find z, given that u(z) = 0.
-1, 0, 2
Let c(p) = -7*p**2 - p. Let s(h) = -h**2 + h. Let i(y) = -2*c(y) + 10*s(y). Find n, given that i(n) = 0.
-3, 0
Let j(l) = -l**3 + 6*l**2 + 8*l - 7. Let p be j(7). Let a(z) be the first derivative of 0 + 5*z - 3*z**2 - 1 + z**3 + p*z**3 - 2*z. Factor a(i).
3*(i - 1)**2
Let o = 447/5 + -5801/65. Factor -o*k**2 - 6/13*k**4 + 2/13*k**5 + 6/13*k**3 + 0*k + 0.
2*k**2*(k - 1)**3/13
Let k(w) = -2*w**2 - 12*w - 39. Let u(b) = -2*b**2 - 12*b - 36. Let m(i) = 6*k(i) - 7*u(i). Solve m(l) = 0.
-3
Factor 1 - 10*i - 21/4*i**2.
-(i + 2)*(21*i - 2)/4
Let c = -908/7 + 130. Let p = 535/28 - 73/4. Factor 4/7 + c*x**2 - p*x.
2*(x - 2)*(x - 1)/7
Suppose 7*o = 22 + 27. Let u be (-3 - -5)/(-2) + o/4. Factor -1/4*f**2 + u*f - 1/2.
-(f - 2)*(f - 1)/4
Let k = -242 - -242. Let r(c) be the second derivative of 13/12*c**3 + 1/2*c**2 + k + 9/8*c**4 - 4*c + 23/40*c**5 + 7/60*c**6. Factor r(a).
(a + 1)**3*(7*a + 2)/2
Let t be (-3)/12 + 5/4. Let d(o) = -o**2 + 2*o. Let s(g) = g**2 + g. Supp