4*k**2. Solve i(v) = 0.
0, 3
Let m be -56 - -67 - 63/7. Find h such that 12/7*h**3 - 10/7*h + 16/7*h**m - 4/7*h**4 - 12/7 - 2/7*h**5 = 0.
-3, -1, 1, 2
Let q(c) = -c**3 - 38*c**2 - 263*c - 56. Let s be q(-29). Factor -s*k**2 + 0 + 0*k + 2/3*k**3.
2*k**2*(k - 3)/3
Let r(v) = -2*v**2 - 5*v + 1. Suppose 4*k + 1 = -23. Let p be 4/k - (-88)/33. Let l(f) = 10*f**2 + 26*f - 6. Let x(g) = p*l(g) + 11*r(g). Factor x(w).
-(w + 1)*(2*w + 1)
Let p(d) = 16*d - 128. Suppose -208 = -31*s + 5*s. Let l be p(s). Determine z so that 2/9*z**3 + 2/9*z**4 - 4/9*z**2 + l*z + 0 = 0.
-2, 0, 1
Let l(v) be the first derivative of 5*v**7/84 - v**5/4 + 5*v**3/12 + 15*v - 5. Let z(r) be the first derivative of l(r). Determine q so that z(q) = 0.
-1, 0, 1
Let t(z) be the first derivative of 0*z**4 - 28 + 2*z**5 - 10/3*z**3 - 5/2*z**2 + 0*z + 5/6*z**6. Factor t(x).
5*x*(x - 1)*(x + 1)**3
Let q(v) be the third derivative of v**5/300 - v**4/15 - 208*v**2. Find a, given that q(a) = 0.
0, 8
Let k = 19 - 16. Suppose 16 = k*i - 4*r - 1, i + 5 = -4*r. Determine g, given that -2*g + 6*g - 10*g**4 - 10*g**2 - 8*g**2 + 5*g**3 + 19*g**i = 0.
0, 2/5, 1
Let f(y) = -4*y**4 + 8*y**3 + 78*y**2 + 96*y + 60. Let s(k) = -k**4 - 2*k**3 + k**2 - 2*k + 1. Let r(a) = 2*f(a) - 12*s(a). Factor r(h).
4*(h + 1)*(h + 3)**3
Let i(h) be the third derivative of h**6/80 + 213*h**5/20 + 15123*h**4/4 + 715822*h**3 + 6*h**2 - 43. Determine g, given that i(g) = 0.
-142
Let i(m) be the second derivative of 5*m**7/42 - m**6/6 - 5*m**5/2 + 5*m**4/3 + 20*m**3 + 543*m. Let i(h) = 0. What is h?
-2, 0, 2, 3
Let g(b) be the second derivative of -b**7/1680 - 7*b**6/240 - 49*b**5/80 + 7*b**4/2 + 27*b. Let q(n) be the third derivative of g(n). Factor q(l).
-3*(l + 7)**2/2
Let 2*h**2 - 20 - 5*h**2 + h**2 - 8*h + 30 = 0. What is h?
-5, 1
Suppose -25*h**4 + 9*h**4 + 8*h**3 + 54*h**3 + 33*h**3 + 11*h**4 = 0. Calculate h.
0, 19
Let a(o) be the second derivative of -o**6/90 + 7*o**4/12 - 10*o**3/9 + 56*o - 2. Solve a(c) = 0 for c.
-5, 0, 1, 4
Let p be (30/4)/(15/40). Determine n so that 19 + 20*n - 14 - p - 5*n**2 = 0.
1, 3
Suppose -2*s = 6 - 14. Factor -2*v**4 - 2*v**s + 2*v**4 + v**4.
-v**4
Let p = -13 + -17. Let z be (-4)/(-10) - (272/p)/4. Find b such that 10*b**2 + 8/3*b - 10/3*b**4 - z + 4/3*b**3 = 0.
-1, 2/5, 2
Determine q, given that 1/4*q**3 - 15/4*q**5 - 4*q**2 + 17/2*q**4 - q + 0 = 0.
-2/5, -1/3, 0, 1, 2
Find z, given that 62151*z + 2*z**5 - 4*z**3 - 62149*z + 0*z**3 = 0.
-1, 0, 1
Factor 5 + 39*v**3 - 4 + 34*v**2 - 49*v**2 - 43*v**3 - 3*v + 21.
-(v - 1)*(v + 2)*(4*v + 11)
Let c be 77/(-198)*(-3)/14. Let a(b) be the first derivative of 1/2*b**2 - c*b**3 - 3/4*b + 6. Solve a(u) = 0.
1, 3
Suppose 4*q = 2*a - 4*a + 46, 3*q + a - 33 = 0. Factor -2*p**4 + 13*p**2 + q*p + 12*p**2 + 20*p**3 + 7*p**4.
5*p*(p + 1)**2*(p + 2)
Factor -10/9*t + 4/3*t**2 - 2/9*t**3 + 0.
-2*t*(t - 5)*(t - 1)/9
Let r = 2326 + -763. Suppose 2*n - 6*n + 2092 = 4*d, 3*d - r = -n. Suppose -520 + 3*f + d + 3*f**2 = 0. What is f?
-1, 0
Suppose -c = -3*q - 19, 6*c = 2*c - 4*q - 4. Let a(r) = 5*r - 18. Let n be a(c). Factor -1/3*v**4 + 0*v + 0*v**3 - 1/3 + 2/3*v**n.
-(v - 1)**2*(v + 1)**2/3
Suppose 0*z = u - z - 2, 5*u = -z + 28. Let f(p) be the first derivative of -1/3*p - 1/3*p**4 - 5 - 2/3*p**3 - 2/3*p**2 - 1/15*p**u. What is d in f(d) = 0?
-1
Suppose -290 = -7*f - 3*f. Let r = -24 + f. Factor 0*s + 3/4*s**3 + 1/8*s**2 + 9/8*s**4 + 0 + 1/2*s**r.
s**2*(s + 1)**2*(4*s + 1)/8
Factor 5/2*m**2 - 2 - 4*m.
(m - 2)*(5*m + 2)/2
Let s(z) be the second derivative of z**6/21 + 11*z**5/70 - 11*z**4/14 + 13*z**3/21 + 4*z**2/7 - 2*z + 79. Suppose s(d) = 0. What is d?
-4, -1/5, 1
Factor 6 - 2/5*d**3 + 2/5*d - 6*d**2.
-2*(d - 1)*(d + 1)*(d + 15)/5
Let r(o) be the second derivative of -8/45*o**3 + 1/15*o**2 - 6*o + 7/90*o**4 + 0. Factor r(v).
2*(v - 1)*(7*v - 1)/15
Let i(a) be the second derivative of -3/20*a**5 + 8*a + 1/14*a**7 - 1/5*a**6 + 0*a**2 + 0 + 0*a**3 + 1/2*a**4. Solve i(b) = 0 for b.
-1, 0, 1, 2
Suppose 0*t + 3*t - 2*m = 814, -5*m - 1355 = -5*t. Let u be (-4)/(-18) - t/(-72). Factor 2*i**2 - u*i - 5*i + 3*i**2 + 4*i.
5*i*(i - 1)
Let x be (220/(-330))/((-2)/15). Let l(j) be the third derivative of 1/135*j**x + 0*j - 1/540*j**6 + 0*j**3 + 0*j**4 + 0 - 9*j**2. Factor l(s).
-2*s**2*(s - 2)/9
Let l(n) be the first derivative of -2 + 4*n + 1/12*n**3 - 1/80*n**5 + 0*n**2 + 1/48*n**4. Let v(t) be the first derivative of l(t). Factor v(f).
-f*(f - 2)*(f + 1)/4
Let u(o) = 20*o + 2. Let s be u(1). Suppose 0 = 26*j - s*j - 16. Factor 2/11*q + 0 + 2/11*q**2 - 2/11*q**j - 2/11*q**3.
-2*q*(q - 1)*(q + 1)**2/11
Let z = -10532/3 - -3512. Factor -2/3*m**4 + 0*m + 0 + 0*m**2 - z*m**5 + 0*m**3.
-2*m**4*(2*m + 1)/3
Let r(b) be the first derivative of -b**5 + b**4/2 - 3*b**2/2 - 2. Let t(k) = 44*k**4 - 18*k**3 + 26*k. Let w(n) = -52*r(n) - 6*t(n). Factor w(a).
-4*a**3*(a - 1)
Solve 0*i + 0 + 1/3*i**3 - 1/3*i**2 - 1/3*i**5 + 1/3*i**4 = 0 for i.
-1, 0, 1
Factor -8/3*y**2 + 16/3*y + 1/3*y**3 + 0.
y*(y - 4)**2/3
Factor 0*r**3 + 1/4*r**5 + 1/2*r**2 - 1/2*r**4 + 0 - 1/4*r.
r*(r - 1)**3*(r + 1)/4
Let k(n) = -38*n**4 + 39*n**4 - 10*n**5 + n**3 + 11*n**5. Let i(j) = 7*j**5 + 7*j**4 - 14*j**3 + 6*j**2 + 15*j - 9. Let z(r) = -i(r) + 4*k(r). Factor z(s).
-3*(s - 1)**3*(s + 1)*(s + 3)
Let u(q) = -7*q**2 + 56*q - 45. Let l be u(7). Let o(k) be the second derivative of 0*k**2 + 0 + 10*k + 0*k**3 + 1/48*k**l + 1/80*k**5. Factor o(d).
d**2*(d + 1)/4
Let u(v) be the first derivative of 2*v**3 + 0*v + 16 + 1/2*v**4 + 0*v**2. Factor u(m).
2*m**2*(m + 3)
Let t(x) = -4*x**2 + 16. Let o = 15 - 27. Let w(b) = -1. Let j(s) = o*w(s) - t(s). Factor j(f).
4*(f - 1)*(f + 1)
Let p be 0/(4 + -9) + 12. Factor c**2 + 12*c + 3*c**2 + p - c**2 - 3.
3*(c + 1)*(c + 3)
Let v(x) be the second derivative of x**5/20 + x**4/8 - 3*x**3 + 8*x**2 + 15*x. Let m(k) be the first derivative of v(k). Factor m(l).
3*(l - 2)*(l + 3)
Factor 3/2*j**5 - 24*j**3 + 45/2*j**4 + 0*j + 0*j**2 + 0.
3*j**3*(j - 1)*(j + 16)/2
What is v in -3/8*v**5 + 3/8 + 3/4*v**3 - 3/4*v**2 + 3/8*v**4 - 3/8*v = 0?
-1, 1
Let w(n) = 6*n**3 - 8*n**2 + 10*n + 16. Let s(f) = 13*f**3 - 15*f**2 + 20*f + 30. Let m(h) = -4*s(h) + 9*w(h). Solve m(q) = 0.
-1, 3, 4
Let c(w) = -2*w**4 + 13*w**3 + 16*w**2 - 96*w - 3. Let s(u) = -4*u**4 + 25*u**3 + 32*u**2 - 192*u - 5. Let y(b) = -5*c(b) + 3*s(b). Factor y(d).
-2*d*(d - 4)**2*(d + 3)
Let j be 1*-7 - 15*(-14)/21. Find z, given that -9/2 + 1/2*z**j + 15/2*z - 7/2*z**2 = 0.
1, 3
Let l(n) be the first derivative of -7*n**5/20 - 33*n**4/8 + 5*n**3 + 22*n**2 - 34. Let j(b) be the second derivative of l(b). Factor j(m).
-3*(m + 5)*(7*m - 2)
Let p(o) be the second derivative of -5*o**4/12 - 5*o**3/3 + 2*o - 4. Let p(x) = 0. What is x?
-2, 0
Let c(k) = -k**2 + k. Let m be -2 - (171/27 - (-1)/(-3)). Let j(t) = -12*t**2 + 12*t + 8. Let v(a) = m*c(a) + j(a). Factor v(f).
-4*(f - 2)*(f + 1)
Solve 16/9*g**3 + 0 + 32/9*g**2 + 0*g + 2/9*g**4 = 0 for g.
-4, 0
Find v such that 2/3*v**5 + 2*v**4 + 8/3*v - 10*v**2 + 8 - 10/3*v**3 = 0.
-3, -2, -1, 1, 2
Suppose -3*j + 34 - 28 = 0. Suppose j*n - 4*i = -14, -2*n + 1 = i - 2*i. Factor 8/5*q**2 + 12/5*q**n + 8/5 - 28/5*q.
4*(q - 1)*(q + 2)*(3*q - 1)/5
Factor 10*o + 45 - 5*o**3 - 4*o - 21*o + 0*o - 25*o**2.
-5*(o - 1)*(o + 3)**2
Suppose -559*c + 584*c - 100 = 0. Factor -2/3*j**c + 0 + 8/3*j + 0*j**2 - 2*j**3.
-2*j*(j - 1)*(j + 2)**2/3
Let w = -2557 + 33243/13. Factor w*n**4 + 6/13*n**3 + 6/13*n**2 + 2/13*n + 0.
2*n*(n + 1)**3/13
Let q = 16 - 12. Suppose 1 = -i + q. Suppose 1/2*d**5 + 0*d**i - 1/2*d - d**4 + 0 + d**2 = 0. What is d?
-1, 0, 1
Let m(t) be the second derivative of 0*t**6 + 1/54*t**4 + 0 - 1/9*t**2 + 1/378*t**7 + 23*t + 1/18*t**3 - 1/45*t**5. Factor m(y).
(y - 1)**3*(y + 1)*(y + 2)/9
Let p(z) be the second derivative of -z**6/300 + z**5/75 - z**4/60 - 5*z**2 + 11*z. Let x(d) be the first derivative of p(d). Factor x(t).
-2*t*(t - 1)**2/5
Determine u, given that -1 + 557*u**5 + 16*u**4 - 553*u**5 + 1 = 0.
-4, 0
Let t(w) = w**2 - 2*w. Let k be t(3). Suppose -5*i + 4*c = -22, 0 = -i - k*c - 5 - 2. Factor 10*f**4 + 1 + 20*f**2 - 4*f**3 - i - 16*f**3 - 10*f + 3 - 2*f**5.
-2*(f - 1)**5
Suppose -69*h - 54 = -72*h. Let m be (1 + h/(-6))/(-4). Suppose m*l**2 + 1/4*l**5 - 1/4*l + 0*l**3 + 0 -