 6*m**3 + 6*m**2 + 6*m. Factor k(t).
3*(t - 3)*(t - 2)**2
Suppose -25088*x = -25091*x. Suppose 4/7*w + x - 6/7*w**2 + 2/7*w**3 = 0. Calculate w.
0, 1, 2
Let c(h) be the first derivative of 55*h**6/24 + h**5/2 - 275*h**4/16 - 25*h**3/6 + 55*h**2/2 + 10*h - 241. What is t in c(t) = 0?
-2, -1, -2/11, 1, 2
Let i(q) = 4*q**5 - 6*q**3 - 8*q**2 - 6. Let a = -75 + 69. Let t(g) = -g**5 + g**4 + g**3 + 1. Let v(m) = a*t(m) - i(m). Find u such that v(u) = 0.
-1, 0, 2
Let y = -41165/6 - -6861. Factor -y*m**2 + 1/6*m + 1.
-(m - 3)*(m + 2)/6
Let f(j) = j**3 - 6*j**2 + 2*j - 7. Let d be f(6). Suppose -d*p = -0*p - 10. Factor 3*i**2 - i**2 + 2*i**2 - 5*i**p - i**3.
-i**2*(i + 1)
Let q = -36 - -3. Let p(x) be the first derivative of x**3/3 + 5*x**2/2 - 2. Let d(w) = 6*w**2 + 26*w + 1. Let c(a) = q*p(a) + 6*d(a). Factor c(v).
3*(v - 2)*(v - 1)
Let z be (-968)/(-126) - 420/735. Solve z - 32/9*y + 4/9*y**2 = 0 for y.
4
Let u(g) = 2*g. Let k be u(-1). Let h(t) = -2*t**2 + 6. Let p(i) = -4*i**2 - i + 13. Let a be 2/4*(22 - 12). Let l(d) = a*h(d) + k*p(d). Factor l(c).
-2*(c - 2)*(c + 1)
Suppose 2*n = 4 + 6. Factor -6*y - 5*y**n - 4*y + 14*y**2 + 25*y**4 + 21*y**2 - 45*y**3.
-5*y*(y - 2)*(y - 1)**3
Let i(t) be the first derivative of t**6/195 - t**5/130 + 8*t - 6. Let z(g) be the first derivative of i(g). Factor z(r).
2*r**3*(r - 1)/13
Factor -9/2*o**3 + 6 + 6*o - 15/2*o**2.
-3*(o - 1)*(o + 2)*(3*o + 2)/2
Let q(j) be the first derivative of -j**3/9 + 85*j**2/3 - 7225*j/3 + 36. Factor q(k).
-(k - 85)**2/3
Let f(j) be the second derivative of 1/12*j**3 - j - 1/24*j**4 + 0 + 1/2*j**2 + 1/120*j**5. Let m(l) be the first derivative of f(l). Factor m(n).
(n - 1)**2/2
Let s(b) = 7*b**2 - 3*b - 17. Let i(v) = 8*v**2 - 4*v - 19. Let x(p) = 5*i(p) - 6*s(p). Let c(q) = -q**2 - q + 3. Let a(r) = 7*c(r) - 3*x(r). Solve a(t) = 0.
-1, 0
Suppose j + 1 = 4, 3*f + 3 = 3*j. Find q, given that q**2 + f*q + 17*q - 4*q + 2*q**2 = 0.
-5, 0
Let f(j) be the third derivative of j**7/15120 + j**6/2160 + j**4/2 - 4*j**2. Let s(o) be the second derivative of f(o). Solve s(k) = 0 for k.
-2, 0
Solve 56/5 - 24/5*x - 2/5*x**2 = 0 for x.
-14, 2
Solve 0*s + 2/5*s**5 + 0 + 0*s**3 + 0*s**2 - 2/5*s**4 = 0 for s.
0, 1
Find g such that -72*g - 72*g - 22*g**4 + 192*g**2 + 60*g**3 - 112*g + 26*g**4 = 0.
-8, 0, 1
Let m(b) be the first derivative of 1/20*b**5 - 2/3*b**3 - 4 + 0*b**4 + 0*b**2 + 4*b. Factor m(a).
(a - 2)**2*(a + 2)**2/4
Let k = -47227/4 + 414863/36. Let d = k - -283. Find n, given that -1/9*n**2 - d*n + 1/3 = 0.
-3, 1
Let n(c) be the first derivative of -c**4/14 + 4*c**3/7 - 3*c**2/7 - 20*c/7 - 4. Factor n(a).
-2*(a - 5)*(a - 2)*(a + 1)/7
Let g(r) be the second derivative of -1/24*r**6 - 7/60*r**5 + 0 - 1/12*r**4 - r**2 - 8*r + 0*r**3. Let s(k) be the first derivative of g(k). Factor s(x).
-x*(x + 1)*(5*x + 2)
Suppose 81*m - 57 - 2*m**3 - m**3 + 147 + 72 = 0. What is m?
-3, 6
Let j(s) be the first derivative of -11/9*s**2 - 2/27*s**3 + 31 - 20/9*s. Find z such that j(z) = 0.
-10, -1
Let k(j) be the second derivative of 5/2*j**3 + 1/12*j**4 + 0*j**2 + 47*j + 0. Factor k(y).
y*(y + 15)
What is a in 1/5*a**4 + 3/5 + 12/5*a**2 + 6/5*a**3 + 2*a = 0?
-3, -1
Let d(t) be the second derivative of -5*t**4/12 - t**3/6 + t**2/2 - 17*t. Let q(j) = 4*j**2 - 2. Let o(u) = 2*d(u) + 3*q(u). Determine c, given that o(c) = 0.
-1, 2
Suppose 21*o - 54 = -3*o + 6*o. Determine r, given that 1/6*r - 1/3*r**o + 1/6*r**5 - 1/3*r**2 + 1/6 + 1/6*r**4 = 0.
-1, 1
Factor -31/7*g**2 - 34/7*g - 3/7.
-(g + 1)*(31*g + 3)/7
Suppose -p - 7*g + 3*g = -5, 4*g = -4. Suppose 4*i + 3 = 4*b - 5*b, p = -2*i - 3*b. Determine w so that 0*w**3 + i + 3*w**4 + 3/2*w**5 - 3*w**2 - 3/2*w = 0.
-1, 0, 1
Solve 1/3 + 0*q**2 - 1/6*q**3 + 1/2*q = 0.
-1, 2
Let x(b) be the first derivative of b**5/20 + 3*b**4/16 - 7*b**3/12 - 15*b**2/8 + 9*b/2 - 16. Factor x(q).
(q - 2)*(q - 1)*(q + 3)**2/4
Determine r so that -3*r**2 - 147*r + 5*r**2 + 31*r + 2*r**2 = 0.
0, 29
Factor -1/4*y**4 + 5/4*y**3 + 2*y**2 + 0 - 3*y.
-y*(y - 6)*(y - 1)*(y + 2)/4
Factor 0*g**2 - 4/7*g**3 + 0*g - 4/7*g**4 + 0.
-4*g**3*(g + 1)/7
Let g(s) = 2*s**3 - 5*s**2 + s + 3. Let k(j) be the third derivative of -j**3/6 - 10*j**2. Let d(l) = 3*g(l) + 3*k(l). Solve d(v) = 0.
-1/2, 1, 2
Let o(z) be the third derivative of 0 - 7/80*z**6 + 1/140*z**7 + 0*z**3 + 0*z - 9/16*z**4 + 3/8*z**5 + 20*z**2. Let o(q) = 0. Calculate q.
0, 1, 3
Let f(o) = -o**2 + 6*o + 8. Let l be f(7). Let j be 6/((-1 - l) + 5). Factor 10/19*x - 6/19*x**j + 4/19.
-2*(x - 2)*(3*x + 1)/19
Let h = -10 - -12. Solve 9*x**4 - 10*x**3 - 26*x - 9*x**h + 32*x + 6*x**5 - 2*x**3 = 0.
-2, -1, 0, 1/2, 1
Let v = -4415 - -4417. Solve 3/5*x**v + 3/5*x**4 + 0 + 0*x - 6/5*x**3 = 0.
0, 1
Let w(t) = -t**2 + t + 182. Let v be w(-13). Let m(b) be the third derivative of -5*b**2 + 0*b + v + 5/4*b**5 + 5/2*b**4 + 2*b**3. Factor m(l).
3*(5*l + 2)**2
Let s(k) = -k**2 + 7*k + 11. Let a be s(8). Suppose -y + 2 = -a. Factor 7*w**2 + 2 - w**2 - y + 0*w**4 - 3*w**4.
-3*(w - 1)**2*(w + 1)**2
What is q in -4*q**2 + 64*q**3 + 5*q**4 + 2*q**5 - 73*q**3 - 3*q**5 - 2*q + 11*q**2 = 0?
0, 1, 2
Suppose -4*x - 3*a + 16 = a, -5*a - 34 = -x. Suppose -i = i - 5*j - 6, 0 = -3*i - j + x. Factor 1/4*z**i + 1/4*z**4 - 1/4*z + 0 - 1/4*z**2.
z*(z - 1)*(z + 1)**2/4
Let d(o) = 8*o**2 + 29*o - 144. Let j(r) = 4*r**2 + 14*r - 72. Let w(f) = 2*d(f) - 5*j(f). Factor w(s).
-4*(s - 3)*(s + 6)
Let s be (-6)/(-21) - ((-1506)/168 + -2). Factor s*j**2 - 6*j - 3*j**3 - 9/4.
-3*(j - 3)*(j - 1)*(4*j + 1)/4
Suppose 18*z = 13*z. Let i(x) be the second derivative of -1/8*x**4 + 3/2*x**2 + 3*x + z + 1/4*x**3. Factor i(g).
-3*(g - 2)*(g + 1)/2
Let v = 319/840 - 3/8. Let r(q) be the third derivative of -v*q**7 + 0 - 1/30*q**5 + 0*q**3 + 0*q + 8*q**2 + 1/40*q**6 + 0*q**4. Factor r(m).
-m**2*(m - 2)*(m - 1)
Suppose 2*u + 3*u - 5 = 0. Let w be ((-140)/98)/(u/(-7)). Suppose -13 - 8*x**3 + w*x + 22*x - 4 + 1 + 4*x**4 - 12*x**2 = 0. Calculate x.
-2, 1, 2
Let n be (-770)/539 - (-3 + (-26)/(-70)). Suppose 0 + 2/5*x**2 - n*x = 0. Calculate x.
0, 3
Let q(n) = -n**2 + 6*n + 3. Suppose -c + i + 6 = 0, -2*c + 2*i = 3*c - 24. Let x(a) = -a - 1. Let d(f) = c*x(f) + q(f). Let d(r) = 0. Calculate r.
1
Suppose -5 = 3*c + 1. Let f(n) = 3*n**3 + 3*n**2 - 6*n - 4. Let d(w) = w**3 + 2500*w + w**2 - 2501*w + 0*w**3. Let u(h) = c*d(h) + f(h). Solve u(z) = 0.
-2, -1, 2
Suppose 0*x - 7/10*x**3 - 1/5*x**4 + 0 - 2/5*x**2 + 1/10*x**5 = 0. Calculate x.
-1, 0, 4
Suppose 0 = o + 3*k + 9, -6 = -3*o + 2*k - 0*k. Let l be (35/(-10) + 3)*o. What is i in -1/4*i**4 + l - 1/4*i**2 - 1/2*i**3 + 0*i = 0?
-1, 0
Let o(m) be the third derivative of -3/4*m**4 + 0*m + 40*m**2 + 27/2*m**3 + 0 + 1/60*m**5. Let o(s) = 0. What is s?
9
Solve -6728/5 - 2/5*v**2 - 232/5*v = 0.
-58
Let v = 24/265769 - -11576359/39599581. Let s = v + -1/149. Factor -s*j**2 + 0*j + 0.
-2*j**2/7
Let y(x) = -2 - 5*x**2 + 4*x**2 - 2 + 0*x**2. Let d(r) = -2*r. Let w(g) = 4*d(g) - 2*y(g). Factor w(t).
2*(t - 2)**2
Let i(m) be the third derivative of 47*m**5/210 - 7*m**4/12 + 2*m**3/21 - 2*m**2 - 25. Suppose i(a) = 0. What is a?
2/47, 1
Factor -1/6*d**2 + 7/3 - 13/6*d.
-(d - 1)*(d + 14)/6
Factor -3 + 7/4*t**2 + 10*t.
(t + 6)*(7*t - 2)/4
Factor 90*u - 31*u**2 + u**3 + 55*u**2 + 100 + u**3.
2*(u + 2)*(u + 5)**2
Let z(x) = -2*x**3 + 15*x**2 - 8*x - 4. Let j(n) = n**2 - 1 - 8*n - 2 + 9*n**3 + 14*n**2 - 10*n**3. Let t(p) = 4*j(p) - 3*z(p). Factor t(l).
l*(l + 8)*(2*l - 1)
Factor 0*j**2 + 2*j**2 - 3*j**2 + 13 - 66*j - j**2 + 55.
-2*(j - 1)*(j + 34)
Solve -n**5 + 12*n - 8*n**2 + 12*n**4 - 2*n**5 + 15*n**3 - n**5 - 23*n**3 - 4 = 0 for n.
-1, 1
Let k(t) be the third derivative of t**8/1008 - 2*t**7/315 - t**6/12 - t**5/9 + 29*t**4/72 + 4*t**3/3 + 233*t**2. Solve k(g) = 0 for g.
-3, -1, 1, 8
Let m = 18 + -3. Determine u, given that 3*u**3 + 5*u**4 + 4*u**3 - 5*u - m*u**2 + 10 - 2*u**3 = 0.
-2, -1, 1
Let -55/2 - 5/4*r**2 + 115/4*r = 0. Calculate r.
1, 22
Factor -33*k + 4*k**3 + 115*k**2 + 80 + 7*k - 38*k - 111*k**2.
4*(k - 2)**2*(k + 5)
Let p(f) = f**3 + 44*f**2 + 120*f - 151. Let q(l) = -l**3 - 41*l**2 - 120*l + 150. Let g(u) = -6*p(u) - 7*q(u). Factor g(j).
(j - 1)*(j + 12)**2
Let b(h) be the second derivative of 1/42*h**4 + 4 + 3/70*h**5 - 2/21*h**3 + 0*h**2 + 3*h. Find k, g