 x = 72 + -110. Let k = 38 + x. Factor 1/2*u**4 - 1/2*u**3 + 0 + k*u - u**2.
u**2*(u - 2)*(u + 1)/2
Let k(v) = v**3 - 5*v**2 - 3. Let o be k(6). Factor 16*a**2 - o*a**2 + 15*a**2.
-2*a**2
Let w be 8/(-3)*(-18)/3. Suppose f - w = -3*f. Factor 3 - 7 + r**2 + f - r.
r*(r - 1)
Let i = 89 + -87. Suppose 2*f**2 - 4572*f + 25*f**i + 4527*f - 75 - 3*f**3 = 0. Calculate f.
-1, 5
Suppose -10*w + 18*w = -15*w. Let p(j) be the third derivative of 0*j + 0 + 0*j**3 + 2*j**2 - 1/48*j**4 + 1/240*j**6 + w*j**5. Factor p(f).
f*(f - 1)*(f + 1)/2
Let h(b) be the first derivative of -b**7/42 + b**5/5 - b**4/6 - b**3/2 + b**2 + 17*b - 2. Let n(l) be the first derivative of h(l). Factor n(r).
-(r - 1)**3*(r + 1)*(r + 2)
Suppose 0 = 5*h + 7 + 13, 2*h = -3*l + 4. Factor -13 + 3*o**2 - l + 1 + o**2.
4*(o - 2)*(o + 2)
Let h be (2 - 28/16)*12. Let d(s) be the first derivative of -6 + 0*s - 1/4*s**2 + 0*s**h + 1/8*s**4. Suppose d(j) = 0. What is j?
-1, 0, 1
Let 112/5 + 104/5*p**2 - 44*p + 4/5*p**3 = 0. Calculate p.
-28, 1
Let g(j) = 3*j - 19. Let o be g(7). Let p = 1241 - 1238. Factor -9/2*t - 3/2*t**o - p.
-3*(t + 1)*(t + 2)/2
Factor 2/13*p**3 + 24/13 + 8/13*p - 14/13*p**2.
2*(p - 6)*(p - 2)*(p + 1)/13
Let o(m) be the third derivative of m**7/10 + 3*m**6/4 + 29*m**5/20 + 3*m**4/4 - 3*m**2 + m. Factor o(n).
3*n*(n + 1)*(n + 3)*(7*n + 2)
Let i = -1696 + 5093/3. Let k(o) be the second derivative of 4/5*o**5 - i*o**4 + 0*o**2 - 3*o + 0 + 4/3*o**3 - 2/15*o**6. Factor k(h).
-4*h*(h - 2)*(h - 1)**2
Let i be 14/(-6)*8/(-56). Let w = i - -1. Factor 0*f - 1/3*f**2 + w.
-(f - 2)*(f + 2)/3
Suppose -4*z - 2*r + 16 = -7*r, 0 = 2*r. Let v = z - -3. Find w such that -11*w**3 - 2*w**2 + 42*w + v*w**5 + 2 - 35*w + 2*w**4 - 2*w**2 - 3*w**3 = 0.
-1, -2/7, 1
Let l(i) be the second derivative of -i**2 + 0 - 1/12*i**4 - 1/2*i**3 + 28*i. What is f in l(f) = 0?
-2, -1
Let s be (1 + 20/(-12))*84. Let p be 5 + s/10 - -1. Find v such that -6/5*v**3 + 0 + 4/5*v**2 + p*v**4 + 0*v = 0.
0, 1, 2
Factor -25*b**3 - 125 - 13*b**4 - 21*b**3 + 255*b**5 + 10*b**2 - 256*b**5 + 175*b.
-(b - 1)**2*(b + 5)**3
Solve -5*j**3 - 150*j**4 + 6*j**2 - 143*j**4 + 285*j**4 + 3*j**5 = 0.
-1, 0, 2/3, 3
Let k be 10 - 2 - (62 - 59)/((-10)/(-26)). Determine n, given that 3/5*n + k*n**2 + 0 = 0.
-3, 0
Let u(d) be the third derivative of -1/24*d**4 + 0*d**3 + 0*d**5 + 1/120*d**6 + 0 + 0*d + 12*d**2. Factor u(t).
t*(t - 1)*(t + 1)
Let i(u) = 384*u**2 - 148*u - 4. Let w(a) = -a**2 - 2*a - 1. Let h(s) = i(s) - 12*w(s). Suppose h(o) = 0. Calculate o.
1/11, 2/9
Let h(r) be the first derivative of r**5/20 + 89*r**4/8 + 7741*r**3/12 - 4005*r**2/2 + 2025*r - 608. Factor h(t).
(t - 1)**2*(t + 90)**2/4
Let j(l) be the third derivative of 0 - 1/6*l**3 - 20*l**2 + 1/480*l**6 - 1/24*l**4 + 0*l + 1/240*l**5. Determine d, given that j(d) = 0.
-2, -1, 2
Let c(r) be the third derivative of 0*r + 0*r**4 - 1/40*r**5 + 1/140*r**7 + 0 - 11*r**2 - 1/224*r**8 + 0*r**3 + 1/80*r**6. Factor c(h).
-3*h**2*(h - 1)**2*(h + 1)/2
Let d(z) be the first derivative of 20*z + 8 - 5/3*z**3 + 0*z**2. Suppose d(m) = 0. What is m?
-2, 2
Let r(f) be the second derivative of -f**5/20 + 5*f**4/12 + f**3/6 - 5*f**2/2 - 285*f. Suppose r(u) = 0. Calculate u.
-1, 1, 5
Let a(k) be the first derivative of -2*k**3/21 + 9*k**2/7 - 16*k/7 - 31. Factor a(l).
-2*(l - 8)*(l - 1)/7
Suppose -26 = 28*u - 27*u - 14*u. Let 1/3*f**3 + 0 - 5/3*f**u + 4/3*f = 0. Calculate f.
0, 1, 4
Let o = 72759/2 - 36379. Find p such that -39/2*p**3 - 20*p**4 + o*p + p**2 + 200*p**5 + 0 = 0.
-1/5, 0, 1/4
Let m(j) be the third derivative of -j**6/24 + 5*j**5/12 - 5*j**4/3 + 10*j**3/3 - 3*j**2 + 152*j. Find f, given that m(f) = 0.
1, 2
Let u be (8/(-18))/(595/(-315)). Suppose 0*v + 2/17*v**3 + 0 + u*v**4 - 6/17*v**2 = 0. What is v?
-3/2, 0, 1
Let j = 875 - 875. Let u(h) be the second derivative of -1/12*h**4 + j + 8*h + 5/24*h**3 - 1/8*h**2. Solve u(v) = 0 for v.
1/4, 1
Let y(w) be the first derivative of w**5/220 + w**4/66 - w**3/22 - 38*w + 26. Let z(l) be the first derivative of y(l). Factor z(h).
h*(h - 1)*(h + 3)/11
Let n be 7/21 - 332/6. Let t(c) = -5*c**5 + 4*c**4 - 5*c**3 + 6. Let h(u) = -45*u**5 + 35*u**4 - 45*u**3 + 55. Let g(m) = n*t(m) + 6*h(m). Factor g(j).
5*j**3*(j - 1)**2
Factor -2/7*h**2 - 1152/7 + 96/7*h.
-2*(h - 24)**2/7
Let o be (1 - 119/(-42)) + 1/6. Let s be o/4 + 0 + 0 + 2. Find v, given that 3*v**3 + 27/2*v**2 - 27/2*v**4 - s*v + 0 = 0.
-1, 0, 2/9, 1
Factor -744 + 2*u**4 - 12*u + 12*u**3 + 2*u - 2*u**5 + 738 + 4*u**2.
-2*(u - 3)*(u - 1)*(u + 1)**3
Let m(n) be the third derivative of n**2 - 1/24*n**4 + 0*n**7 + 0*n + 0*n**3 + 0 + 0*n**5 + 1/60*n**6 - 1/336*n**8. Determine k, given that m(k) = 0.
-1, 0, 1
Let i(b) = -4*b**3 + 53*b**2 + 202*b + 130. Let v(z) = 12*z**3 - 160*z**2 - 604*z - 392. Let g(s) = 8*i(s) + 3*v(s). Factor g(r).
4*(r - 17)*(r + 1)*(r + 2)
Let g(a) be the first derivative of -2*a**3/3 - 10*a**2 - 18*a - 1. Let g(b) = 0. What is b?
-9, -1
Let s(l) = l - 1. Let d = 1 - 2. Let k(j) = 2*j**2 + 0*j - j - j**2. Let v(p) = d*s(p) - k(p). Factor v(r).
-(r - 1)*(r + 1)
Let o(r) be the second derivative of -r**4/12 + 13*r**3/6 + 15*r**2 + 6*r + 9. Solve o(w) = 0 for w.
-2, 15
Suppose 0 = h - 3*h + 5*u + 3, 3*h = 4*u + 1. Let v(s) = s - 1. Let c(n) = n**2 - 4*n + 4. Let z(k) = h*c(k) - 4*v(k). Factor z(a).
-a**2
Let w be (1 - (-108)/(-99))*-22. Let y be 3 - (2 - 4/6). Factor -5/3*a**w - y*a + 0 + 5/3*a**4 + 5/3*a**3.
5*a*(a - 1)*(a + 1)**2/3
Let t(o) be the first derivative of -o**4/2 - 8*o**3 - 21*o**2 - 20*o + 771. Factor t(g).
-2*(g + 1)**2*(g + 10)
Let n be (-28)/10 + 3 - ((-19899)/(-945) - 24). Let a be 13/(-1)*(-2)/7. Factor n*r + 4/7 - a*r**2.
-2*(r - 1)*(13*r + 2)/7
Let s(i) be the third derivative of 0*i - 5/2*i**4 + 11/24*i**6 + 24*i**2 + 1/6*i**5 - 20/3*i**3 + 5/336*i**8 + 1/7*i**7 + 0. Factor s(l).
5*(l - 1)*(l + 1)*(l + 2)**3
Let a be (-128)/(-336)*(-15)/(-20). Factor 2/7*w**3 - 2/7*w + 2/7 - a*w**2.
2*(w - 1)**2*(w + 1)/7
Suppose 296*u + 32*u - 64*u = 1056. Determine w so that 0 + 0*w**2 + 3/2*w**u + 0*w - w**3 + w**5 = 0.
-2, 0, 1/2
Let a(g) be the third derivative of 0*g**3 + 0*g**4 + 0 - 1/80*g**6 + 1/60*g**5 + 0*g + 0*g**7 - g**2 + 1/672*g**8. What is l in a(l) = 0?
-2, 0, 1
Determine v so that 2/3*v**4 + 2/3 + 0*v + 0*v**3 - 4/3*v**2 = 0.
-1, 1
Factor 4*o**2 - 88*o**3 - 52*o**4 - 1 + 31 + 92*o + 14 - 4*o**5 + 4*o**2.
-4*(o - 1)*(o + 1)**3*(o + 11)
Let u(j) be the first derivative of -3*j**4/4 - 3*j**3 + 12*j - 57. Suppose u(z) = 0. What is z?
-2, 1
Factor -2/17*z**2 - 162/17 - 36/17*z.
-2*(z + 9)**2/17
Let w(r) be the second derivative of 1/21*r**7 + 0*r**2 + 1/15*r**6 - 8*r + 2/3*r**3 - 3/10*r**5 - 1/6*r**4 + 0. Solve w(o) = 0.
-2, -1, 0, 1
Let q(c) be the first derivative of 4*c**2 - 32/5*c + 92/15*c**3 + 26 + c**4. Suppose q(a) = 0. What is a?
-4, -1, 2/5
Let w(p) = 142*p - 565. Let j be w(4). Find i such that -2/3 + 2/3*i**2 - 1/3*i + 1/3*i**j = 0.
-2, -1, 1
Let n(v) be the first derivative of -5 + 0*v + 0*v**2 - 1/9*v**3 + 1/15*v**5 + 0*v**4. Determine j, given that n(j) = 0.
-1, 0, 1
Let x(m) be the third derivative of m**8/1680 + m**7/315 + m**6/180 - 5*m**4/12 + 5*m**2. Let u(j) be the second derivative of x(j). Factor u(z).
4*z*(z + 1)**2
Let g(y) be the third derivative of -1/1260*y**7 + 0*y + 42*y**2 + 0*y**4 + 0 + 0*y**6 + 1/180*y**5 - 1/36*y**3. Factor g(b).
-(b - 1)**2*(b + 1)**2/6
Let x(u) = 3*u**2 - 618*u + 31813. Let g(i) = 12*i**2 - 2472*i + 127245. Let w(m) = -2*g(m) + 9*x(m). Suppose w(b) = 0. What is b?
103
Suppose 4*l - 8*l + 16 = 0. Let -c**4 + 11*c**l - 40*c**2 - 25*c + 5*c**5 + 5*c - 15*c**3 = 0. Calculate c.
-2, -1, 0, 2
Let s(t) be the first derivative of t**5/5 + 7*t**4/2 + 24*t**3 + 80*t**2 + 128*t + 59. Solve s(v) = 0 for v.
-4, -2
Let j be ((-3)/3)/((-6)/(-78)). Let o = j - -16. Factor 3*t - 2*t**o + 4*t - t - 4*t.
-2*t*(t - 1)*(t + 1)
Solve 0*w**2 - w**2 + 46*w + 6*w**2 - w**2 - 2*w = 0.
-11, 0
Find q, given that 0 - 5/3*q**3 + 14/3*q - 11*q**2 = 0.
-7, 0, 2/5
Let d(y) = 2*y**3 + 64*y**2 - 124*y + 58. Let b(r) = -4*r**3 - 64*r**2 + 125*r - 57. Let a(v) = -2*b(v) - 3*d(v). Let a(q) = 0. Calculate q.
1, 30
Factor -5/3*u**2 + 80*u + 245/3.
-5*(u - 49)*(u + 1)/3
Let u(x) be the first derivative of -x**3/6 - x**2/4 + x - 87. 