*o**5 - 25/2*o**4 = 0.
-1, -3/5, 1
Suppose w = -2*w + 33. Factor w*f**3 - 17*f**3 + 11*f**3.
5*f**3
Let d(c) be the second derivative of c**4/60 - 10*c**2 - 112*c. Suppose d(m) = 0. What is m?
-10, 10
Let a = 9427 + -37705/4. Determine k, given that 165*k + 75 + 423/4*k**2 + 33/2*k**3 + a*k**4 = 0.
-10, -1
Factor -8/13*j + 0 + 2/13*j**4 + 6/13*j**3 + 0*j**2.
2*j*(j - 1)*(j + 2)**2/13
Suppose 4*v - 6*u + 4*u - 8 = 0, 2*v - 4*u = -2. Let c be (12/14)/(97 - 95). Factor 0 + 0*d**2 - c*d + 3/7*d**v.
3*d*(d - 1)*(d + 1)/7
Suppose -4*g + 2 = -2. Let y(f) = -2*f**4 - 16*f**3 - 48*f**2 - 64*f - 27. Let d(h) = -6 - 6 + 11. Let x(i) = g*y(i) + 5*d(i). Factor x(z).
-2*(z + 2)**4
Let w(q) be the second derivative of 4*q**4/9 + 166*q**3/9 - 14*q**2 - 31*q. Solve w(h) = 0 for h.
-21, 1/4
Let y(v) = -3*v**3 + 9*v**2 + 3. Let t(n) = n - 1. Let a be t(6). Let q(b) = 6*b**3 - 17*b**2 + b - 5. Let c(h) = a*y(h) + 3*q(h). Factor c(f).
3*f*(f - 1)**2
Let j(c) be the first derivative of -c**5 - 25*c**4/4 - 5*c**3 + 25*c**2/2 + 20*c + 193. Find u such that j(u) = 0.
-4, -1, 1
Let y(n) = 7*n**4 - 2*n**3 - 13*n**2 + 12*n + 16. Let r = -1 + 5. Let t(s) = s**2 - 3 - 5*s**3 + 4 - s**4 + 4*s**3 - 2. Let u(o) = r*t(o) + y(o). Factor u(g).
3*(g - 2)**2*(g + 1)**2
Let m(s) be the first derivative of s**3/2 - 27*s**2/4 - 271. Factor m(i).
3*i*(i - 9)/2
Let k(m) be the second derivative of 0 + 5/24*m**4 - 36*m + 1/2*m**3 + 1/4*m**2. Suppose k(q) = 0. What is q?
-1, -1/5
Determine h, given that -76*h + 303/4 + 1/4*h**2 = 0.
1, 303
Let h(t) be the second derivative of 2*t**7/21 - 6*t**6/5 + 27*t**5/5 - 23*t**4/3 - 16*t**3 + 72*t**2 - t - 73. Solve h(x) = 0 for x.
-1, 2, 3
Let a = 67/510 + 3/85. Let y(m) be the first derivative of 0*m + a*m**3 + 1/4*m**2 + 3. Factor y(g).
g*(g + 1)/2
Let z = 4/1967 - -1947/9835. What is o in 0 + 2/5*o**2 + 0*o - z*o**3 = 0?
0, 2
Factor -9/2*x - 3/2*x**2 - 3.
-3*(x + 1)*(x + 2)/2
Suppose 4*l - 52 = 2*g - 14, -5*g - 45 = -5*l. Factor 4 + 25*q + l*q**2 - 36*q**3 - 4*q**3 + 1.
-5*(q - 1)*(2*q + 1)*(4*q + 1)
Let v(x) be the second derivative of x**8/16800 - x**7/1575 + x**6/600 + 2*x**4/3 - 3*x. Let f(a) be the third derivative of v(a). Factor f(g).
2*g*(g - 3)*(g - 1)/5
Let h = 282 - 844/3. Suppose 17 = -2*u - 5*j, -2*j + 3*j + 1 = -u. Suppose 0 - 2*o**2 - 2/3*o**u - 2*o**3 - h*o = 0. Calculate o.
-1, 0
Let p(a) be the third derivative of -10*a**2 + 1/120*a**6 - 1/20*a**5 + 0 + 0*a + 5/6*a**3 + 0*a**4. Let v(k) be the first derivative of p(k). Factor v(y).
3*y*(y - 2)
Let h(k) = k**4 - 2*k**3 + 9*k**2 - 4*k + 5. Let l(i) = -i**3 - i - 1. Let r(z) = -h(z) - 3*l(z). Factor r(d).
-(d - 2)*(d - 1)**3
Let c be (604/(-42) - 5) + 4/(-14). Let s = 20 + c. Find n such that 0 - 2/3*n**3 + 0*n**2 + 0*n + s*n**4 = 0.
0, 2
Suppose 32*w - 25*w - 28 = 0. Factor 63*m**4 + 2*m + w*m - 9*m**3 - 9*m**2 + 0*m - 57*m**4.
3*m*(m - 2)*(m + 1)*(2*m - 1)
Let q = -72 + 76. Determine i, given that -6*i - 5*i**q - 3*i**4 + 2 + 5*i**4 + 6*i**3 + 1 = 0.
-1, 1
Let a be (-1)/(-6) + 110/(-12). Let y = a - -12. Determine m, given that 3*m**4 - 3*m - 3*m - 3*m**2 + 3*m**3 + 3*m**y = 0.
-2, -1, 0, 1
Let q(n) be the first derivative of -2/45*n**3 - 6/5*n + 7 - 2/5*n**2. Factor q(x).
-2*(x + 3)**2/15
Let c = -211509/11 - -19231. Solve 48/11*j**2 + 0 - c*j + 2/11*j**4 - 18/11*j**3 = 0 for j.
0, 1, 4
Let a = 264 + -259. Let r(v) be the second derivative of -1/24*v**3 + 0 + 1/40*v**5 + a*v + 0*v**6 + 0*v**4 - 1/168*v**7 + 0*v**2. Factor r(w).
-w*(w - 1)**2*(w + 1)**2/4
Let n = 29704/3 + -9901. Let q = 8 + -23/3. Factor -q*u**2 - n*u**3 + 0 + 2/3*u.
-u*(u - 1)*(u + 2)/3
Let g(v) be the first derivative of 4*v**5/35 - 2*v**4/7 - 4*v**3/21 + 4*v**2/7 - 581. Suppose g(n) = 0. Calculate n.
-1, 0, 1, 2
Factor 35*f + 48 - 48 - 131*f - 4*f**2.
-4*f*(f + 24)
Let o(m) = -8*m**2 - 2876*m + 134456. Let a(b) = -b**2 - 410*b + 19208. Let g(w) = -44*a(w) + 6*o(w). Solve g(c) = 0.
98
Let r(w) be the third derivative of 0*w - 1/8*w**4 - 1/60*w**5 + 0*w**3 + 25*w**2 + 0. Factor r(y).
-y*(y + 3)
Suppose -1118 + 1078 = -8*i. Factor 0 - 4/9*s**3 - 4/9*s**2 - 4/3*s**i + 0*s + 20/9*s**4.
-4*s**2*(s - 1)**2*(3*s + 1)/9
Suppose 2*b - 3*m = 11, -50*m + 55*m = -5*b + 15. Factor -3*u**5 + 0*u + 1/3*u**2 + 0 - 7/3*u**3 + 5*u**b.
-u**2*(u - 1)*(3*u - 1)**2/3
Let t be (-12)/10*(-112)/(-12)*(-120)/128. Solve t*f**4 + 0*f - 6*f**2 + 0 - 18*f**3 = 0 for f.
-2/7, 0, 2
Let h = -1870 - -1874. Let y(b) be the first derivative of -4/15*b**5 + 2/9*b**6 + 2/3*b**2 - 2/3*b**h - 4/3*b + 8/9*b**3 + 9. Factor y(m).
4*(m - 1)**3*(m + 1)**2/3
Let b(q) be the first derivative of -22 - 5/3*q**3 + 4*q + 1/5*q**5 + 3/2*q**2 - 3/4*q**4. Factor b(g).
(g - 4)*(g - 1)*(g + 1)**2
Let d(i) be the second derivative of 9*i**7/70 + 9*i**6/50 - 3*i**5/4 - i**4/4 + 8*i**3/5 - 6*i**2/5 - 380*i. Solve d(f) = 0.
-2, -1, 1/3, 2/3, 1
Let 0 - 2/7*b**2 + 8/7*b = 0. Calculate b.
0, 4
Factor 3*m**3 - 375*m**2 + 4*m**3 + 9375*m - 2*m**3 - 78125.
5*(m - 25)**3
Let k be (1 - 0)/(5/25). Suppose -2*x - 2*x = 5*r - 4, -3*r + k*x = -32. Factor 0 + 4/3*f - 10/3*f**r + 2/3*f**5 + 6*f**3 - 14/3*f**2.
2*f*(f - 2)*(f - 1)**3/3
Let 1430*v - 12941 - 1874*v - 3*v**2 - 3487 = 0. What is v?
-74
Let w(i) = -i**3 + i. Let k(h) = 3*h**3 + 12*h**2 - 3*h - 12. Let s(z) = -2*k(z) - 10*w(z). Factor s(x).
4*(x - 6)*(x - 1)*(x + 1)
Suppose 2*c = 3*y - 4*y + 9, c = -5*y + 18. Factor b - c*b - 6 - 126*b**2 + 132*b**2 + 2*b**3.
2*(b - 1)*(b + 1)*(b + 3)
Suppose 0 = 7*l + 63 - 77. Let o(f) be the third derivative of f**l + 0*f + 0*f**3 - 1/210*f**5 + 0 + 1/84*f**4. Solve o(u) = 0.
0, 1
Let h(m) = -9*m**5 - 2*m**4 + 7*m**3 - 6. Let s(r) = 17*r**5 + 4*r**4 - 13*r**3 + 10. Let t(b) = 5*h(b) + 3*s(b). Factor t(i).
2*i**3*(i + 1)*(3*i - 2)
Let m(q) be the third derivative of -1/300*q**5 + 44*q**2 + 0 + 0*q**3 + 0*q - 1/60*q**4. Factor m(g).
-g*(g + 2)/5
Let h(c) be the second derivative of 1/36*c**4 + 0 - 2/3*c**2 + 0*c**3 - 7*c. Solve h(o) = 0 for o.
-2, 2
Let p(b) = -4*b**4 + 8*b**3 + 22*b**2 + 10*b - 3. Let u(w) = -23*w**4 + 49*w**3 + 133*w**2 + 61*w - 17. Let s(m) = -34*p(m) + 6*u(m). Let s(l) = 0. Calculate l.
-1, 0, 13
Suppose 9 = -a - 4*t + 3*t, 5*a - t = -27. Let h be (a*1)/(7 - 294/24). Let h + 4/7*b**3 + 0*b**2 - 12/7*b = 0. Calculate b.
-2, 1
Find x such that -559*x**5 - 11*x**2 - 4*x**2 + 15*x**4 + 5*x**3 + 554*x**5 = 0.
-1, 0, 1, 3
Suppose -8/3*k**3 + 1 - 2/3*k - 13/3*k**2 = 0. What is k?
-1, 3/8
Suppose -4*d = -7*d + 12. Factor 637*c**3 + 92*c - 241*c**2 + 334*c**4 - 137*c**2 - 8 - 677*c**d.
-(c - 1)*(7*c - 2)**3
Let v(z) be the second derivative of -z**7/420 + z**5/15 - 20*z**3/3 + 6*z. Let a(s) be the second derivative of v(s). Factor a(k).
-2*k*(k - 2)*(k + 2)
Let g(n) = -31 - n**3 - 2*n**2 - n + 35 + n**2. Let y be g(0). Factor -j**4 - 40*j**3 + 33*j**2 + 18*j**4 - 10*j - 3 + y - j**4.
(j - 1)**2*(4*j - 1)**2
Let w(i) be the third derivative of -i**6/210 - 8*i**5/105 - 13*i**4/42 - 4*i**3/7 + 9*i**2 + 2. Solve w(o) = 0.
-6, -1
Factor 9/4*z**4 + 0*z**3 - 3/4*z**5 + 0 - 3*z**2 + 0*z.
-3*z**2*(z - 2)**2*(z + 1)/4
Solve -27*d**2 + 0 + 17/3*d**4 + 0*d + 1/3*d**5 + 21*d**3 = 0.
-9, 0, 1
Let i(t) = -t**2. Let p(s) = -30*s**2 + 20*s - 20. Let v = -21 + 20. Let c(f) = v*p(f) + 25*i(f). Factor c(o).
5*(o - 2)**2
Let k = -11969/4 - -2993. Factor -k*r - 1/4*r**2 - 1/2.
-(r + 1)*(r + 2)/4
Suppose -k + 12 = 3*k. Solve -k + 24*h - 19*h - 29*h - 21*h**2 = 0 for h.
-1, -1/7
Suppose -2*c = c + 21. Let b = -4 - c. Let -5*s - s**2 - 17 + 4*s + s**b + 18 = 0. Calculate s.
-1, 1
Suppose 4*i + 79 = -233. Let a = 82 + i. Factor 4/3*q + 4/3 - 2/3*q**3 + 1/3*q**a - q**2.
(q - 2)**2*(q + 1)**2/3
Factor -35/3*k + 11/3*k**2 - 1/3*k**3 + 25/3.
-(k - 5)**2*(k - 1)/3
Let l(w) be the third derivative of w**6/540 - 7*w**5/270 + 5*w**4/36 - w**3/3 + w**2 + 69*w. Solve l(j) = 0.
1, 3
Suppose 0 = 4*x, 2*b = 3*b - 3*x - 4. Suppose 2*o - 33 = -0*o + 5*d, -b*d = 20. What is g in 0 + 0*g**o + 0*g**2 - 1/4*g**3 + 1/4*g**5 + 0*g = 0?
-1, 0, 1
Let j be (-58)/((795/(-2))/3). Let u = -2/53 + j. Factor 8/5*o**2 + 6/5*o + 0 + u*o**3.
2*o*(o + 1)*(o + 3)/5
Find i such that -4/9*i**2 + 1/3*i**3 - 4/9*i + 0 + 4/9*i**4 + 1/9*i**5 = 0.
-2, -1, 0, 1
Let k(z) = -z + 6. Let a be k(4). Factor 12*c + 11*c**2 - 14 + 8*c**2 - 17*c*