g**6/30 - 7*g**5/60 - g**4/12 + 26*g**2. Solve w(j) = 0 for j.
-1/2, 0, 2
Suppose 0*b + 11 = b + y, 2*b + y - 19 = 0. Solve 4*o**3 - 5*o**2 - 16*o**3 + 31*o**2 - 24*o + 2*o**4 + b + 0*o**4 = 0.
1, 2
Let v(z) = -z**2 + z + 4. Let m be v(0). Determine c so that -4*c**3 + 2*c**5 + 2*c + 0*c**4 + 2*c**4 - 2*c**m = 0.
-1, 0, 1
Suppose -296 = -4*n + 4*f, 143 = 2*n - 3*f + 2*f. Solve -n*q**4 - 21*q**5 - 71*q**3 + 3*q - 9*q - 10*q**3 - 39*q**2 = 0 for q.
-1, -2/7, 0
Let o(l) = -l**5 + 18*l**4 + 11*l**3 - l**2 - 7*l + 7. Let s(u) = -6*u**4 - 4*u**3 + 2*u - 2. Let y(p) = -2*o(p) - 7*s(p). Factor y(z).
2*z**2*(z + 1)**3
Let o(f) = 3*f**4 + f**3 - f**2 + 5*f + 4. Let p(b) = -4*b**4 - b**3 + 2*b**2 - 6*b - 5. Let g(y) = 7*o(y) + 6*p(y). Factor g(j).
-(j - 1)**2*(j + 1)*(3*j + 2)
Suppose -2*y - y = 0. Suppose f + 2*k - 7 = y, 0 = -5*f - k - k + 19. Let -15*m - m**2 + 27*m**3 - 2*m**2 - f - 7*m**2 + m**2 = 0. Calculate m.
-1/3, 1
Let z(b) = b**2 + 8*b - 48. Let o be z(-12). Let c be 1/(3/16) - 2. Factor c*j**5 - 14/3*j**4 + 4/3*j**3 + o*j + 0 + 0*j**2.
2*j**3*(j - 1)*(5*j - 2)/3
Let i(m) be the second derivative of -2*m**4/45 + m**3/9 - m**2/15 - 3*m. Factor i(r).
-2*(r - 1)*(4*r - 1)/15
What is m in -1/2*m**3 - 1/4*m**4 + 1/4 + 1/2*m + 0*m**2 = 0?
-1, 1
Factor 4*g**3 + 3*g**5 - 11*g**3 + 4*g**3.
3*g**3*(g - 1)*(g + 1)
Let v = -179 - 147. Let x = v + 4240/13. Factor 0*z + 2/13*z**4 + x*z**3 - 2/13*z**5 + 0 - 2/13*z**2.
-2*z**2*(z - 1)**2*(z + 1)/13
Let q be (-1 - -7) + (-135)/60. Find n, given that -5/4*n**4 - 1 + n + 1/2*n**3 + q*n**2 = 0.
-1, 2/5, 2
Let y(q) = 8*q**5 - 12*q**4 + 22*q**3 - 26*q**2 + 12*q + 2. Let x(w) = 7*w**5 - 12*w**4 + 23*w**3 - 27*w**2 + 13*w + 1. Let i(z) = 6*x(z) - 5*y(z). Factor i(c).
2*(c - 2)*(c - 1)**4
Let u(a) be the third derivative of a**8/20160 - a**7/7560 - a**6/540 + a**5/90 + 5*a**4/24 + 2*a**2. Let i(q) be the second derivative of u(q). Factor i(g).
(g - 2)*(g - 1)*(g + 2)/3
Suppose -5 = -q - 2. Let c(v) be the second derivative of 1/30*v**4 + 0*v**3 - q*v - 1/5*v**2 + 0. Factor c(g).
2*(g - 1)*(g + 1)/5
Let x(l) be the first derivative of 1/6*l**4 - 2*l + 0*l**2 - 1/3*l**3 - 1. Let j(h) be the first derivative of x(h). Let j(f) = 0. What is f?
0, 1
Let n(m) = m**3 + 8*m**2 + 5*m + 6. Let u be n(-7). Suppose 4*y - 5*p - u = 0, -5*p - 15 = -2*y - y. Factor 0 + 10*z**2 - 1 - 14*z + y.
2*(z - 1)*(5*z - 2)
Let p(o) be the third derivative of 3*o**2 + 0*o - 1/240*o**5 + 0*o**3 + 1/48*o**4 + 0. Factor p(x).
-x*(x - 2)/4
Suppose -5*u + 2*x = 176, u + 3*x = -1 - 41. Let l be u/(-21) - (-2)/7. Suppose 4*n**4 - 6*n**3 + n**2 - 2*n**4 - l*n + 5*n**2 = 0. What is n?
0, 1
Suppose -i = -2*c + i + 16, -16 = -5*c - i. Let a(q) be the second derivative of 0 + 2*q**c - q**3 - 7/10*q**5 - 3*q - 2*q**2. Determine n, given that a(n) = 0.
-2/7, 1
Let i = -869699/300 + 2899. Let j(p) be the third derivative of 0 - 1/60*p**4 + 0*p**3 + 0*p - p**2 - i*p**5. Find y such that j(y) = 0.
-2, 0
Determine n so that 18 + 1/8*n**2 + 3*n = 0.
-12
Let x be 72 - (7 - 4 - 1). Let j be 20/x*77/4. Solve j*q + 1 + 5/2*q**4 + 17/2*q**3 + 21/2*q**2 = 0.
-1, -2/5
Suppose 0 = -2*o - 4*o + 18. Factor 0 + 7/6*u**o - 5/6*u**2 - 1/3*u.
u*(u - 1)*(7*u + 2)/6
Factor -8844 + 8839 - 125*k**2 + 3*k - 53*k.
-5*(5*k + 1)**2
Let b be 1/4 - ((-150)/144 + 1). Let i(r) be the second derivative of -b*r**3 - 1/3*r**6 + 1/4*r**2 - r + 0 + 11/20*r**5 - 1/8*r**4. Factor i(m).
-(2*m - 1)**3*(5*m + 2)/4
Let k be 6/4 + (-1 - (-18)/12). Let f(w) be the first derivative of -k + 0*w**2 + 0*w + 1/15*w**5 - 1/12*w**4 + 1/18*w**6 - 1/9*w**3. Factor f(t).
t**2*(t - 1)*(t + 1)**2/3
Suppose 3*u - 9 + 0 = 0. Find x, given that 3*x - 2*x**2 - u*x + 2*x**4 + 0*x**4 = 0.
-1, 0, 1
Let m(a) be the third derivative of a**7/210 + a**6/60 - a**5/20 - a**4/6 + 2*a**3/3 + a**2. Factor m(j).
(j - 1)**2*(j + 2)**2
Let i(r) = 16*r**5 - 4*r**4 - 16*r**3 - 6*r**2 - 10. Let x(l) = -5*l**5 + l**4 + 5*l**3 + 2*l**2 + 3. Let a(m) = 3*i(m) + 10*x(m). Solve a(g) = 0.
-1, 0, 1
Let p(y) be the second derivative of -y**7/1120 - y**6/720 + y**5/480 + y**3/6 + 3*y. Let j(h) be the second derivative of p(h). Factor j(g).
-g*(g + 1)*(3*g - 1)/4
Let s = -4 - -6. Let a(u) = u + 1. Let z be a(s). Let 1/2*h**2 + 1/2*h**z + 0 + 0*h = 0. What is h?
-1, 0
Let u(j) = -j**3 - 27*j**2 - 79*j - 79. Let b(y) = -684*y + 4*y**3 - 10*y**3 - 579*y - 432*y**2 - 1263 - 9*y**3. Let t(x) = -2*b(x) + 33*u(x). Factor t(r).
-3*(r + 3)**3
Let s(d) be the third derivative of d**5/390 - d**4/156 - 2*d**3/39 + 10*d**2. Factor s(a).
2*(a - 2)*(a + 1)/13
Let w(d) be the second derivative of -d**5/2 - 2*d**4/3 + d**3/3 - 17*d. Determine y, given that w(y) = 0.
-1, 0, 1/5
Suppose 2*h = 5 - 1. Suppose 0*d**4 - 3*d**h + 0*d**4 - 4*d**3 - 6*d + 3*d**4 + 10*d**3 = 0. What is d?
-2, -1, 0, 1
Let i(m) be the second derivative of m**6/10 - 3*m**5/5 + 3*m**4/2 - 2*m**3 + 3*m**2/2 + 5*m. Factor i(a).
3*(a - 1)**4
Let q(p) be the second derivative of -p**7/1680 - p**6/240 - p**5/120 + 7*p**3/6 + 7*p. Let w(z) be the second derivative of q(z). Solve w(l) = 0.
-2, -1, 0
Let k(x) be the third derivative of -x**5/210 + x**4/84 + 2*x**3/21 + 33*x**2 + 2. Factor k(h).
-2*(h - 2)*(h + 1)/7
Suppose 4*y - h + 5 = 0, -2*y + 15 = -0*h + 3*h. Let a be 0/(y + -5) - 0. Factor -4/3*k**2 + a + 2/3*k + 2/3*k**3.
2*k*(k - 1)**2/3
Let w = -1388/21 - -200/3. Let 0 - 6/7*i**4 + 8/7*i**3 - w*i + 2/7*i**2 = 0. What is i?
-2/3, 0, 1
Let u be (-5 + (-32)/(-6))/(6/16). What is a in 154/9*a**4 - 98/9*a**5 + 34/9*a**3 - 146/9*a**2 - u + 64/9*a = 0?
-1, 2/7, 1
Let w = 233 - 3493/15. Let s(p) be the first derivative of 1 - w*p**3 - 2/5*p**2 - 2/5*p. Factor s(h).
-2*(h + 1)**2/5
Let s be (3/(-15))/(2/(-52)). Let u = -99/20 + s. Factor u*q - 3/4*q**2 + 1/2.
-(q - 1)*(3*q + 2)/4
Let w be (26/(-195))/((-2)/3 - 0). Find l, given that w + 0*l - 1/5*l**2 = 0.
-1, 1
Let t(s) be the second derivative of 3/4*s**3 - 3/8*s**4 - 5*s + 3/40*s**5 + 0 - 3/4*s**2. Factor t(d).
3*(d - 1)**3/2
Factor 14/17*i - 4/17 - 18/17*i**2 + 10/17*i**3 - 2/17*i**4.
-2*(i - 2)*(i - 1)**3/17
Let m be 15/(-9)*(-4)/20. Let v(d) be the first derivative of 1 + 3/2*d**2 + 2*d + m*d**3. Factor v(j).
(j + 1)*(j + 2)
Suppose -3*s + 31 = -4*c, 2*s + s - 11 = -c. Solve -6*n**2 + 5*n**4 - 3*n**s - 3*n + 6*n**5 - 2*n**4 + 3*n**4 = 0.
-1, 0, 1
Factor -1/8*d**2 - 1/8*d + 0.
-d*(d + 1)/8
Let r be (-1)/(-1) + (17 - 1). Let n = r + -16. Factor c - 1/4*c**2 - n.
-(c - 2)**2/4
Suppose h = -v + 3, 2*v - 3*v = -4*h + 12. Factor -8*b**4 + b**3 + 7*b**3 + b**5 + h*b**5 - 4*b**3.
4*b**3*(b - 1)**2
Let u(x) = -x**3 - 5*x**2 + x + 9. Let g be u(-5). Let b(t) be the second derivative of 1/12*t**3 + 0 + 0*t**2 - 7/48*t**g + 2*t. Factor b(l).
-l*(7*l - 2)/4
Let k be ((-21)/(-35))/((-63)/(-30)). Let k*d - 2/7*d**3 + 2/7*d**2 - 2/7 = 0. Calculate d.
-1, 1
Suppose 4*j - 4*c = 20, -5*c + 2*c + 15 = 3*j. Let m(k) be the second derivative of 0 - 1/12*k**3 + 0*k**2 - 1/12*k**4 - 1/40*k**j + 2*k. Factor m(w).
-w*(w + 1)**2/2
Let w(z) be the third derivative of 0 + 1/4*z**4 + 0*z - 2*z**2 + 1/20*z**5 + 1/2*z**3. Suppose w(q) = 0. Calculate q.
-1
Factor -4*n**3 + 18*n + 60*n**2 + 637 - 96 - 318*n - 41.
-4*(n - 5)**3
Find a such that 1/4*a**3 + 0 + 3/4*a**2 + 0*a = 0.
-3, 0
Suppose 5*j - j = 4*q - 28, -2*q - 2*j = -10. Let b be 7 + q - (-1)/3. Find k such that -46/3*k**2 + 14/3*k**3 - 8/3 + b*k = 0.
2/7, 1, 2
Let w be (-165)/(-20) - 1/4. Let b = w + -8. Let 2/3*m**2 + b + 22/3*m**4 + 2/3*m - 6*m**3 - 8/3*m**5 = 0. What is m?
-1/4, 0, 1
Let o(y) be the third derivative of -y**10/378000 - y**5/60 - 5*y**2. Let c(n) be the third derivative of o(n). What is t in c(t) = 0?
0
Let u(x) = -x + 8. Let y be u(8). Suppose 4*a - 11 - 1 = y. Factor v - a*v - v**2 - v**2.
-2*v*(v + 1)
Let j(r) = 7*r**4 + 3*r**3 + 15*r**2 + 4*r - 5. Let d(c) = -4*c**4 - c**3 - 8*c**2 - 2*c + 3. Let h(z) = -10*d(z) - 6*j(z). Factor h(a).
-2*a*(a + 1)**2*(a + 2)
Let v(c) = -c**3 - c**2 + c + 3. Let q be v(-2). Factor -3*m - 10*m**3 + 6*m**4 - m**5 - 6*m**2 + 4*m**q + 10*m**3.
3*m*(m - 1)*(m + 1)**3
Let h(l) = 5*l**5 + 17*l**4 - 6*l**3 + 8*l**2 - 8*l - 8. Let w(v) = 2*v**5 + 6*v**4 - 2*v**3 + 3*v**2 - 3*v - 3. Let f(n) = 3*h(n) - 8*w(n). Factor f(y).
-y**3*(y - 2)*(y - 1)
Let b = 187/378 - -1/189