j**5 - 6*j**4 - 6*j**3 + 12*j**2 + 9*j - 6. Let m(n) = 6*l(n) + 5*w(n). Factor m(x).
3*x*(x - 1)*(x + 1)**3
Let o = 247571 + -1231952/5. Let u = o - 1177. Factor 4/5*i + 14/5*i**3 + u*i**2 + 0.
2*i*(i + 1)*(7*i + 2)/5
Factor -3/5*y**2 + 0 - 3/5*y**3 - 1/5*y**4 - 1/5*y.
-y*(y + 1)**3/5
Let s(o) be the first derivative of o**6/12 + o**5/10 + 2. Factor s(i).
i**4*(i + 1)/2
Let j = 13 + -7. What is t in j - 5*t**2 + 4*t**2 - 2*t**2 - 3*t = 0?
-2, 1
Let -98/5*r**4 + 154/5*r**3 + 0 - 64/5*r**2 + 8/5*r = 0. What is r?
0, 2/7, 1
Let -3/5*j + 1/5 - 1/5*j**2 + 3/5*j**3 = 0. What is j?
-1, 1/3, 1
Let i = -18 + 21. Factor -14*u**3 - 18*u**3 + 64 + 0*u**i - 128*u + 96*u**2 + 4*u**4.
4*(u - 2)**4
Let z = 1 - 1. Let a be z + (-1 - 5/(-4)). Determine q so that 1/4*q**2 + 0 - a*q = 0.
0, 1
Let r(b) = b**2 - 1. Let o(c) = 2*c**2 + 4*c + 2. Let m(s) = o(s) - 4*r(s). Suppose m(w) = 0. What is w?
-1, 3
Let n(w) be the third derivative of 1/96*w**4 + 0*w**3 - 1/240*w**5 + 0*w - w**2 + 0. Factor n(x).
-x*(x - 1)/4
Let o(n) be the first derivative of 125*n**6/36 + 15*n**5/2 - 5*n**4/24 - 205*n**3/18 - 10*n**2 - 10*n/3 + 22. What is c in o(c) = 0?
-1, -2/5, 1
Suppose 0 = 3*w - 2*l, -4*w + 0*l = 5*l - 23. Let c(o) be the third derivative of -2*o**w + 0 + 1/240*o**6 + 0*o**3 - 1/48*o**4 + 0*o + 0*o**5. Solve c(y) = 0.
-1, 0, 1
Let x(i) = -i**2 + i - 1. Let g(h) = h**3 + 12*h**2 - 7*h + 9. Let d(j) = -4*g(j) - 36*x(j). Factor d(o).
-4*o*(o + 1)*(o + 2)
Let k(u) = -3*u**4 + 3*u**3 + 3*u**2 + 2*u. Let p be 10*(2/(-4) - 0). Let h(w) = 4*w**4 - 4*w**3 - 4*w**2 - 2*w. Let l(m) = p*h(m) - 6*k(m). Factor l(x).
-2*x*(x - 1)**2*(x + 1)
Let p = -1 - 2. Let b be 4 + p + 2/(-3). Solve 0 + 1/3*r**2 + 0*r + b*r**5 - 1/3*r**3 - 1/3*r**4 = 0.
-1, 0, 1
Let z = -154 - -309/2. Let 1/4*h**5 - z*h**4 + 0 + 0*h**2 + 1/4*h**3 + 0*h = 0. What is h?
0, 1
Let g(y) be the third derivative of -y**7/105 + 2*y**6/15 - 11*y**5/15 + 2*y**4 - 3*y**3 + 14*y**2. Suppose g(c) = 0. Calculate c.
1, 3
Let w(k) be the third derivative of 5*k**8/336 - k**7/14 + k**6/12 + k**5/6 - 5*k**4/8 + 5*k**3/6 - 21*k**2. Factor w(b).
5*(b - 1)**4*(b + 1)
Suppose -4*t + 14 = 2. Let v(q) be the third derivative of 0*q + 1/240*q**6 + 0 + 0*q**t + 0*q**5 + 2*q**2 + 0*q**4. Factor v(h).
h**3/2
Let x(t) = -3*t**5 - 3*t**3 + 2*t. Suppose -4 = -5*s + 6. Let i(o) = -o**5 - o**4 - o**3 + o. Suppose -5*f = 8 + 12. Let j(k) = f*i(k) + s*x(k). Factor j(b).
-2*b**3*(b - 1)**2
Let u be -1 + 3 - (5 + -5). Suppose -5 + u = -k. Suppose -2/3*d**2 + 0 + 0*d**k - 1/3*d + 2/3*d**4 + 1/3*d**5 = 0. Calculate d.
-1, 0, 1
Let n(y) be the second derivative of y**4/16 - 3*y**3/8 + 3*y**2/4 + 12*y. Determine w, given that n(w) = 0.
1, 2
Let m(c) = -4*c**3 - 10*c**2 + 26*c - 18. Let p(d) = d**3 - d**2 + 1. Let r(f) = -2*m(f) - 12*p(f). Solve r(j) = 0.
1, 6
Suppose 5*h = -6*t + 3*t + 13, 0 = 4*h + 3*t - 11. Suppose h + 1 - 2 + j**2 + j + j = 0. Calculate j.
-1
Let h(d) be the second derivative of d**6/20 - 3*d**5/40 - 3*d**4/8 + 5*d**3/4 - 3*d**2/2 + 2*d. Find t, given that h(t) = 0.
-2, 1
Let -82*w**3 + 82*w**3 + 0*w**4 - 3*w**4 + 3*w**2 = 0. Calculate w.
-1, 0, 1
Let s(k) = k - 21. Let b be s(9). Let l be 11/3 + 2/b. Suppose 3/2*w**3 + w + l*w**2 + 0 = 0. Calculate w.
-2, -1/3, 0
Let b be (-120)/108*(-21)/5. Let k(j) be the first derivative of 49/9*j**3 + 4/3*j + b*j**2 + 1. Factor k(v).
(7*v + 2)**2/3
Let b(k) be the second derivative of -k**4/4 - k**3 - 3*k**2/2 - 4*k. Factor b(j).
-3*(j + 1)**2
Let z(q) be the first derivative of 2*q**4 - 6*q**3 + 9*q**2 + 4*q + 7. Let r(s) = 0*s + s + 0*s + 1. Let i(y) = 6*r(y) - z(y). Factor i(c).
-2*(c - 1)**2*(4*c - 1)
Let l(o) be the first derivative of -o**4/2 - 6*o**3 + 21*o**2 - 22*o - 50. Factor l(x).
-2*(x - 1)**2*(x + 11)
Let j be (-147)/(-280) + (-2)/5. Factor 3*z**2 + 4*z + z**3 + j*z**4 + 2.
(z + 2)**4/8
Let i be 273/98 + 12/7 + -2. Find w, given that i*w**4 - w - 5/2*w**2 - 1/2*w**3 + 3/2*w**5 + 0 = 0.
-1, -2/3, 0, 1
Let g(z) be the first derivative of -z**6/3 - 11*z**5/5 - 43*z**4/8 - 73*z**3/12 - 7*z**2/2 - z - 7. Factor g(n).
-(n + 2)**2*(2*n + 1)**3/4
Factor q + 1/3*q**2 + 2/3.
(q + 1)*(q + 2)/3
Let u(o) be the second derivative of -o**6/120 - o**5/10 - 11*o**4/24 - o**3 - 9*o**2/8 - 5*o. Find s such that u(s) = 0.
-3, -1
Suppose 0 = 5*j + 2*u - 0*u - 6, 0 = 5*j + 5*u. What is o in 0 - 2/5*o**j + 2/5*o = 0?
0, 1
Suppose -3*i - 3 = 0, 3*h + h + 5*i + 37 = 0. Let p(c) = -2*c - 16. Let g be p(h). Factor 0*n + 0 + 3/2*n**4 + 3/2*n**5 + g*n**2 + 0*n**3.
3*n**4*(n + 1)/2
Let w(k) be the second derivative of 3*k**5/70 + 5*k**4/42 - 2*k**3/21 - 5*k. Find j, given that w(j) = 0.
-2, 0, 1/3
Let x be 34/14 + 16/(-16). Factor -32/7*i - 8*i**3 - 32/7 + x*i**4 + 96/7*i**2.
2*(i - 2)**3*(5*i + 2)/7
Let g(z) be the first derivative of -5*z**6/6 - 5*z**5 - 35*z**4/4 - 5*z**3 + 42. Factor g(r).
-5*r**2*(r + 1)**2*(r + 3)
Let h be (-2 + 3)/(((-4)/8)/(-1)). Factor 0*r - 2/7*r**3 + 2/7*r**5 + 0 + 2/7*r**h - 2/7*r**4.
2*r**2*(r - 1)**2*(r + 1)/7
Let b = 8 - 8. Suppose -4*q - 5*v + 3 = 0, b = -0*q + 3*q - 5*v - 11. Factor 5*i**3 + 2*i - 4*i**3 - i - q*i.
i*(i - 1)*(i + 1)
Let o(d) = -4*d + 0*d**2 - 6*d**2 - 4*d - 3*d**3 - 3 + 5*d. Let z(n) = n**4 + n**3 + n**2 + n + 1. Let q(x) = -o(x) - 3*z(x). Factor q(w).
-3*w**2*(w - 1)*(w + 1)
Let w = -60 + 241/4. Factor 0*m - 1/4*m**5 + 1/4*m**3 - 1/4*m**2 + w*m**4 + 0.
-m**2*(m - 1)**2*(m + 1)/4
Let q(k) = -k**3 + 22*k**2 + 25*k - 41. Let m be q(23). Suppose 0*v**2 - 14/5*v**4 + 6/5*v**m + 0 + 4/5*v**3 + 0*v = 0. What is v?
0, 1/3, 2
Let -2/7*y**2 + 4/7 + 2/7*y = 0. What is y?
-1, 2
Let c(l) be the first derivative of l**6/540 - l**5/135 + l**4/108 + l**2 - 3. Let i(p) be the second derivative of c(p). Solve i(j) = 0.
0, 1
Let j = 173/2 + -84. Factor 5*f**2 + j*f**4 - 5/2*f - 1/2*f**5 + 1/2 - 5*f**3.
-(f - 1)**5/2
Suppose -8 = -5*h + 82. Suppose -5*m = m - h. Solve -8/9 - 2/9*x**4 + 4/3*x**m - 26/9*x**2 + 8/3*x = 0 for x.
1, 2
Let h(s) be the second derivative of s**5/300 - s**4/120 + s**2/2 + 4*s. Let m(d) be the first derivative of h(d). Solve m(p) = 0 for p.
0, 1
Suppose -64*x = -58*x - 12. What is c in -2*c**3 + 2*c + 4/5*c**x - 4/5 = 0?
-1, 2/5, 1
Let j(f) be the second derivative of -1/30*f**4 - 3*f + 1/75*f**6 + 0*f**2 + 0 - 1/15*f**3 + 1/50*f**5. What is k in j(k) = 0?
-1, 0, 1
Let u(f) be the first derivative of -1 - 1/25*f**5 + 0*f**2 + 0*f**4 + 1/30*f**6 + 0*f**3 + 0*f. Find j such that u(j) = 0.
0, 1
Let w = -16 + 18. Suppose -k - 2 = -w*q + 5, -5*k - 25 = -5*q. Find l, given that -18/7 - 12/7*l - 2/7*l**q = 0.
-3
Let g = 438 + -1707/4. Let k = -11 + g. Factor -k*n**2 - 1/4 + 1/2*n.
-(n - 1)**2/4
Let u(h) be the second derivative of h**6/90 + 7*h**5/60 + 5*h**4/36 - 7*h**3/18 - h**2 + 35*h. Factor u(k).
(k - 1)*(k + 1)**2*(k + 6)/3
Suppose -15*r = -35 - 10. Suppose -3/2*u**4 + 1/2*u**r + 0 + 3/2*u**2 - u + 1/2*u**5 = 0. What is u?
-1, 0, 1, 2
Let r(v) be the third derivative of 0 - 1/105*v**7 - 1/3*v**3 + 1/15*v**5 - 1/12*v**4 - 3*v**2 - 1/168*v**8 + 0*v + 1/30*v**6. Factor r(h).
-2*(h - 1)**2*(h + 1)**3
Suppose 0 = 5*o + 5 - 30. Factor -o*x**3 + 3 + 1 + 21*x**2 + 24*x - 44*x**3.
-(x - 1)*(7*x + 2)**2
Let u(m) be the second derivative of -m**9/83160 + m**7/4620 + m**6/1980 - 5*m**4/12 + 5*m. Let c(d) be the third derivative of u(d). Factor c(x).
-2*x*(x - 2)*(x + 1)**2/11
Let l(v) be the third derivative of 3*v**2 + 1/42*v**4 + 0 + 1/21*v**3 + 0*v + 1/210*v**5. Find m, given that l(m) = 0.
-1
Find m, given that 0*m**4 - 3/2*m**5 + 0 + 0*m**2 + 0*m + 0*m**3 = 0.
0
Factor -6 + 0*h + 5*h**3 - h**3 - 2 - 12*h.
4*(h - 2)*(h + 1)**2
Let a(p) be the first derivative of p**4/10 - 2*p**3/3 + 4*p**2/5 + 4. Factor a(x).
2*x*(x - 4)*(x - 1)/5
Let 1/5*u**3 + 0 + 3/5*u + 4/5*u**2 = 0. What is u?
-3, -1, 0
Suppose 49 - 1 = -q. Let w be (-4)/(-18) - q/27. Find a such that 0 - 4/5*a - 2/5*a**4 + 2/5*a**5 - 6/5*a**3 + w*a**2 = 0.
-2, 0, 1
Let a(h) = -8*h**3 + 5*h**2 + 3*h. Let j(k) = -4*k**3 + 2*k**2 + 2*k. Let f(i) = -4*a(i) + 7*j(i). Determine m so that f(m) = 0.
0, 1/2, 1
Let j be 4 - 1/(-3)*0. Let f(i) be the third derivative of -1/240*i**6 + 0*i + 0 - 1/48*i**j + 1/60*i**5 - 2*i**2 + 0*i**3. Factor f(k).
-k*(k - 1)**2/2
Let a(y) be the first derivative of -4*y**5/5 - 3*y**4