+ 0*c + 9/4*c**3 - 3/2*c**2 + 9*c**4.
3*c**2*(c + 1)**2*(7*c - 2)/4
Solve 28*n - 3*n**2 + 15 + 14 - 56 + 2*n = 0.
1, 9
Factor -576/5*y - 2/5*y**2 - 41472/5.
-2*(y + 144)**2/5
Suppose 20 = 3*n - 2*n. Let q = n + -17. Factor -4*m**q - 3*m**5 + 12*m**3 - m**5 - 4*m.
-4*m*(m - 1)**2*(m + 1)**2
Let x = 10 + -6. Suppose 4*i = -2*y - 5 - 3, -x*y = i - 5. Solve -g**3 - 4*g**3 + g**3 + 2 + 8*g**3 - y*g**4 - 4*g = 0.
-1, 1
Let w(g) be the first derivative of -6/5*g**2 + 16/15*g**3 + 11 - 1/5*g**4 + 0*g. Factor w(x).
-4*x*(x - 3)*(x - 1)/5
Let u = -1856 + 1856. Factor u + 1/4*b**2 - 1/2*b**3 + 1/4*b**4 + 0*b.
b**2*(b - 1)**2/4
Let n(c) be the third derivative of c**5/20 - 47*c**4/8 - 24*c**3 - 107*c**2. Solve n(f) = 0 for f.
-1, 48
Factor 138*z**2 + 0*z**4 + 3/2*z**5 + 42 - 51*z**3 - 261/2*z.
3*(z - 4)*(z - 1)**3*(z + 7)/2
Let s(y) be the third derivative of -y**6/90 - 11*y**5/45 + 10*y**4/3 - 1051*y**2. Suppose s(m) = 0. Calculate m.
-15, 0, 4
Let r(b) be the first derivative of -b**6/48 + 5*b**4/32 - b**2/4 + 30. Find z, given that r(z) = 0.
-2, -1, 0, 1, 2
Let m(q) be the first derivative of -2*q**3/21 + 12*q**2/7 - 22*q/7 + 280. Solve m(i) = 0.
1, 11
Let w(r) be the second derivative of 1/78*r**4 + 0*r**2 + 2/39*r**3 + 0 + 9*r. Factor w(f).
2*f*(f + 2)/13
Determine s, given that 8/7*s**3 - 4/7*s**4 + 0 - 8/7*s + 4/7*s**2 = 0.
-1, 0, 1, 2
Let n(i) = i**3 - 2*i**2 + 2*i**2 + i**2 - i. Let h(u) be the first derivative of 3*u**4/4 + 2*u**3/3 - 3*u**2/2 - 67. Let y(a) = -3*h(a) + 6*n(a). Factor y(g).
-3*g*(g - 1)*(g + 1)
Suppose 115 + 13 = 4*s. Let m = s - 156/5. Suppose -m + 2/5*f**2 - 2/5*f = 0. Calculate f.
-1, 2
Determine v, given that 151/11*v - 7*v**2 + 1/11*v**3 - 75/11 = 0.
1, 75
Let m = -12280 - -12280. Factor -4/9*g**2 + 2/9*g**3 + 0*g + m.
2*g**2*(g - 2)/9
Determine v so that -32*v + 1/4*v**4 - 7/4*v**3 + 56 - 45/2*v**2 = 0.
-4, 1, 14
Suppose 0 = 4*w - w - 6. Suppose 0 = -d + w*d, 0 = -4*z + 5*d + 8. Factor 15*r - 13*r + 6*r**z - r**2.
r*(5*r + 2)
Suppose j = -5*t + 40, -j + 0*j - 24 = -3*t. Suppose -4*z**4 + 3*z**2 + 51 - 4*z - 4*z**3 - 50 + t*z**3 = 0. Calculate z.
-1, 1/2, 1
Let i(l) be the first derivative of 5*l**3/3 + 445*l**2 + 885*l + 515. Factor i(x).
5*(x + 1)*(x + 177)
Let p(d) be the third derivative of -d**8/56 + 83*d**7/315 - 9*d**6/20 - 67*d**5/90 + 5*d**4/2 - 16*d**3/9 - d**2 + 22. Suppose p(n) = 0. What is n?
-1, 2/9, 1, 8
Suppose 5*g + 10 = 2*q, -4*g = 4 + 4. Suppose q = -4*k + 5*k - 2. Find n such that 2*n**2 - 2*n + k - n + 2*n - 3*n**2 = 0.
-2, 1
Factor 667*r**2 - 1338*r**2 - 56*r + 125 - 5 + 669*r**2.
-2*(r - 2)*(r + 30)
Let u = -15301/4 + 3826. Factor 0 + 3/8*j + 3/8*j**5 + 0*j**2 + 0*j**4 - u*j**3.
3*j*(j - 1)**2*(j + 1)**2/8
Let c(y) = 25*y**3 + 2620*y**2 - 5210*y + 2635. Let s(g) = 3*g**3 + 291*g**2 - 579*g + 293. Let r(k) = -4*c(k) + 35*s(k). Factor r(v).
5*(v - 57)*(v - 1)**2
Solve 54/5*q + 2/5*q**3 + 6*q**2 + 26/5 = 0 for q.
-13, -1
Let s(l) be the first derivative of 1/2*l**5 - 25 - 5/6*l**3 + 0*l + 0*l**2 + 0*l**4. Factor s(h).
5*h**2*(h - 1)*(h + 1)/2
Let 8*i**3 - 4*i**2 - 559*i**4 + 1118*i**4 - 563*i**4 = 0. What is i?
0, 1
Let f(t) be the first derivative of 7*t**3/15 - 41*t**2/5 - 24*t/5 + 121. Factor f(d).
(d - 12)*(7*d + 2)/5
Let l(f) = 10 - 31*f - 4*f**2 + 11 - 12 - 4*f. Let q be l(-9). Factor q*k + 2/5*k**2 - 8/5.
2*(k - 2)*(k + 2)/5
Factor 6/5*b**2 + 0 - 21/5*b.
3*b*(2*b - 7)/5
Let y(u) be the third derivative of 0 + 1/30*u**6 + 5/18*u**4 + 1/315*u**7 + 1/3*u**3 + 0*u + 2/15*u**5 + 8*u**2. Factor y(p).
2*(p + 1)**3*(p + 3)/3
Let s(l) = -4*l**2 + 24*l - 20. Let o(k) = -k + 1. Let m = -23 + 22. Let z(w) = m*s(w) - 12*o(w). Determine b, given that z(b) = 0.
1, 2
Suppose -4*j = j + 3*v - 15, v = -2*j + 7. Suppose 0 = -z + 4, -j*u + 2*u + 4 = -4*z. Factor 7*k - 15*k + u*k - k**2.
-k*(k + 3)
Let f(n) = 3*n**5 - 3*n**4 - 3*n**3 + 3*n**2 + 2*n + 2. Let z(b) = 9*b**5 - 10*b**4 - 8*b**3 + 10*b**2 + 6*b + 7. Let k(t) = 7*f(t) - 2*z(t). Factor k(x).
x*(x - 1)**2*(x + 1)*(3*x + 2)
Let s(m) be the third derivative of -1/35*m**7 + 0*m + 6*m**2 + 4/15*m**6 + 0 - 1/168*m**8 + 12*m**4 + 80/3*m**3 + 44/15*m**5. Factor s(v).
-2*(v - 5)*(v + 2)**4
Factor -29/8*j**3 + 1/8*j**4 - 110*j + 63/2*j**2 + 136.
(j - 17)*(j - 4)**3/8
Suppose 4*w = -o + 36, -w + o - 44 = -6*w. Suppose 4*f - w = 4. Solve -9/5*x**2 - 3/5 - 9/5*x - 3/5*x**f = 0.
-1
What is i in -48/7*i**2 + 26/7*i - 8/7*i**4 + 34/7*i**3 - 4/7 = 0?
1/4, 1, 2
Determine x so that -95*x - 89*x + 201*x + 30 + 0*x**2 + x**2 = 0.
-15, -2
Let t(g) be the first derivative of 70*g**3/9 + 74*g**2/3 - 16*g - 223. Determine c, given that t(c) = 0.
-12/5, 2/7
Let w = 18 + -13. Suppose w*o - 7 - 30 = -4*s, 5*s + 10 = 5*o. What is k in s*k**4 + 3*k**5 - k**5 - 3*k**2 + k - 4*k**5 + k**3 = 0?
-1, 0, 1/2, 1
Let h(s) be the third derivative of s**6/600 - s**5/25 - 13*s**4/120 + 9*s**2 - 5. Factor h(y).
y*(y - 13)*(y + 1)/5
Find x, given that -52/5 - 103/5*x + 2/5*x**2 = 0.
-1/2, 52
Let w(z) be the third derivative of 4/3*z**7 + 0*z**3 - 2/3*z**4 - 25/84*z**8 + 28/15*z**5 + 0*z + 0 + 2*z**2 - 23/10*z**6. Solve w(k) = 0 for k.
0, 2/5, 1
Let y(k) be the first derivative of -k**4/36 + 5*k**3/9 - 25*k**2/6 - 29*k - 18. Let w(c) be the first derivative of y(c). Factor w(x).
-(x - 5)**2/3
What is j in -4 + 6*j**3 + 3*j + 12*j**2 + 3*j + 4*j**2 = 0?
-2, -1, 1/3
Let k(n) be the third derivative of -n**7/3360 + n**6/240 - n**5/96 - 7*n**3/6 - 53*n**2. Let x(t) be the first derivative of k(t). Factor x(l).
-l*(l - 5)*(l - 1)/4
Let j = 37 + -37. Let n(g) be the second derivative of -1/16*g**4 + j*g**3 - 4*g + 0 + 3/8*g**2. Suppose n(i) = 0. What is i?
-1, 1
Suppose -8*u - 33 = -5*u + 2*w, -30 = 4*u - 2*w. Let a be (-12)/u - 10/21. Factor 0*q**3 + 3/7*q**4 + 0*q - a*q**2 + 3/7.
3*(q - 1)**2*(q + 1)**2/7
Let x(v) = v**2 + 5*v. Let i be x(-5). Let h be (0 - (3 + -6)) + i. Factor o**2 + o**h - 2*o**4 + 0*o**2 + 0*o**2 - o + o**4.
-o*(o - 1)**2*(o + 1)
Let t(d) be the second derivative of d**4/72 + 2*d**3/3 + 95*d**2/12 - 194*d. Factor t(j).
(j + 5)*(j + 19)/6
What is y in 320*y**2 + 20*y**3 - 37*y - 135*y**3 - 2*y - 35*y**4 + 62*y + 77*y = 0?
-5, -2/7, 0, 2
Let r be (-12)/(-21) - 208/364. Let p(b) be the second derivative of 9*b + 0*b**3 + r + 1/4*b**5 + 5/6*b**4 + 0*b**2. Find a, given that p(a) = 0.
-2, 0
Let f(w) be the second derivative of -w**8/15120 - w**7/11340 - 29*w**4/12 - 16*w. Let v(u) be the third derivative of f(u). Let v(p) = 0. What is p?
-1/2, 0
Let d(o) be the first derivative of o**7/147 - o**6/35 + 3*o**5/70 - o**4/42 - 17*o + 19. Let u(q) be the first derivative of d(q). Find l such that u(l) = 0.
0, 1
Let a = 20 - -19. Let d = -36 + a. Suppose -d*l**3 + 2*l**2 - l + 2*l**3 + 0*l**3 = 0. What is l?
0, 1
Factor -28/5 - 11/5*j**2 + 32/5*j + 1/5*j**3.
(j - 7)*(j - 2)**2/5
Let b(p) be the third derivative of 11*p**7/210 - 17*p**6/120 + p**5/10 - p**2 - 195. Factor b(s).
s**2*(s - 1)*(11*s - 6)
Let v be (-38)/(-12) - (-24)/(-144). Let g(k) be the first derivative of 21/4*k**4 - 2*k**v + 0*k - 3/2*k**2 - 12/5*k**5 - 3. Factor g(m).
-3*m*(m - 1)**2*(4*m + 1)
Let v = -2615 - -2618. Solve 0 + 2/3*r - 4/3*r**v - 7/3*r**2 = 0.
-2, 0, 1/4
Let g(f) be the second derivative of 5*f**7/36 - 131*f**6/36 - 89*f**5/12 - 25*f**4/9 - 656*f. Suppose g(z) = 0. What is z?
-1, -2/7, 0, 20
Let d = -29 - -31. Suppose -2*z = -p + 9, d = 2*p - 5*z - 16. Factor -17 - v**3 + 5 + 4*v**3 + p*v**2.
3*(v - 1)*(v + 2)**2
Solve -2*a - 2/7*a**3 + 6/7 + 10/7*a**2 = 0 for a.
1, 3
Factor -74*j**2 + 4 + 23*j - 6 - 61*j - 41*j - 9*j**3 - 12.
-(j + 1)*(j + 7)*(9*j + 2)
Let x = 693 + -4850/7. Factor -x*v**2 + 12/7*v - 36/7.
-(v - 6)**2/7
Determine i, given that -45*i - i**2 + 65*i + 5*i**2 + 19 + 5 = 0.
-3, -2
Let t(o) = 3*o**2 - 3*o - 24. Let r(c) = -3*c**2 + 2*c + 23. Let v(b) = -6*r(b) - 5*t(b). Factor v(m).
3*(m - 2)*(m + 3)
Let i be 1/(35/(-68)) - 40/(-50). Let f = 173/14 - i. Suppose f + 3/2*y**2 - 9*y = 0. Calculate y.
3
Let n(f) be the second derivative of 1/5*f**5 - 1/3*f**3 - 1/21*f**7 + 0*f**4 + 0 + 0*f**6 + 0*f**2 - 20*f. Factor n(q).
-2*q*(q - 1)**2*(q + 1)**2
Suppose -88*t - 217*t = 157*t. Factor -2/5*f**4 + 2/5*f**5 + 2/5*f**2 + 0 - 2/5*f**3 + t*f.
2*f**2*(f - 1)**2*(f + 1)/5
Let s be -1 + 1*(1 - 0). Suppose 0 