*q**3.
-2*q*(q - 1)**2*(q + 1)/5
Factor 1/3*j**2 + 25/3 + 10/3*j.
(j + 5)**2/3
Factor 3/7*x**3 + 30/7*x**2 + 75/7*x + 0.
3*x*(x + 5)**2/7
Solve -2/7*c**4 + 0*c - 2/7*c**2 - 4/7*c**3 + 0 = 0 for c.
-1, 0
Let m(i) be the second derivative of -i**6/90 + i**5/15 - 5*i**4/36 + i**3/9 + 8*i. Factor m(s).
-s*(s - 2)*(s - 1)**2/3
Let x(v) be the first derivative of -v**3/7 - 15*v**2/7 - 75*v/7 + 19. Suppose x(n) = 0. What is n?
-5
Let r(t) be the first derivative of -t**4/4 + 2*t**3 - 11*t**2/2 + 6*t - 2. Suppose r(k) = 0. What is k?
1, 2, 3
Suppose 5*x - 3*x = 12. Factor 27*a - 6*a**2 + 0 - x*a**2 - 6.
-3*(a - 2)*(4*a - 1)
Let u(s) be the first derivative of 5*s**5 + 1 + 0*s + 4*s**2 - 12*s**3 + 15/2*s**4. What is d in u(d) = 0?
-2, 0, 2/5
Let m(w) be the second derivative of -w**6/45 - 7*w**5/30 - w**4 - 20*w**3/9 - 8*w**2/3 + 10*w. Factor m(h).
-2*(h + 1)*(h + 2)**3/3
Let n(h) be the first derivative of -h**5/70 + 5*h**4/84 - 2*h**3/21 + 7*h**2/2 - 8. Let u(j) be the second derivative of n(j). Factor u(q).
-2*(q - 1)*(3*q - 2)/7
Factor 1/3*s**2 + 0*s**3 + 1/6*s**5 - 1/6*s - 1/3*s**4 + 0.
s*(s - 1)**3*(s + 1)/6
Let y(u) = -3*u + 2*u + 5*u**2 - 4*u**2. Let z be y(-1). Find t, given that -t - z*t - 4*t**2 + t = 0.
-1/2, 0
Let w(m) be the first derivative of 13*m**3 + 33*m**2/2 - 6*m - 1. Find o such that w(o) = 0.
-1, 2/13
Let q be ((-94)/20 + (-5)/(-1))*2. Factor 6/5 - 6/5*h**2 + 3/5*h - q*h**3.
-3*(h - 1)*(h + 1)*(h + 2)/5
Let d be 9/(-15) + 295/325. Find h, given that -14/13*h**2 - 6/13*h**3 + d + 6/13*h + 10/13*h**4 = 0.
-1, -2/5, 1
Let b(i) = -14*i**3 - 2*i**2 + 1. Let h be b(-1). Let a = h - 7. Suppose -4*p + 2*p**2 + 0 + a - 4 + 0*p = 0. What is p?
1
Let h(q) = -2*q - 7. Let x be h(-5). Let s = 6/11 - 13/44. Factor -1/2*u**2 + 0 - 1/4*u - s*u**x.
-u*(u + 1)**2/4
Let c be (0/(-2))/(6/(-6)). Let p = c - -3. Find n, given that 4/9*n**2 - 2/9*n**4 - 2/9 + 0*n + 0*n**p = 0.
-1, 1
Let q(z) = -30*z**3 + 17*z**2 + 13*z. Let b(p) = 15*p**3 - 9*p**2 - 6*p. Let x(t) = 7*b(t) + 3*q(t). Factor x(j).
3*j*(j - 1)*(5*j + 1)
Let q = 16 + -13. Let 1 - 3 - 4 + 2*g + q + g**2 = 0. What is g?
-3, 1
Let w(f) be the second derivative of f**10/15120 - f**9/3780 + f**8/3360 + f**4/6 + 4*f. Let p(n) be the third derivative of w(n). Let p(m) = 0. What is m?
0, 1
Let z(g) = -1. Let h(f) = f**3 - 12*f**2 + 36*f - 2. Let i(c) = h(c) - 2*z(c). Factor i(w).
w*(w - 6)**2
Let z(a) be the third derivative of -1/330*a**5 + 0*a**4 - a**2 + 1/1155*a**7 + 0*a + 0 + 0*a**3 + 0*a**6. Solve z(j) = 0.
-1, 0, 1
Let p(s) be the third derivative of -s**5/90 + s**4/18 - s**3/9 + 7*s**2. Factor p(g).
-2*(g - 1)**2/3
Let c(z) be the third derivative of -z**5/510 + 2*z**4/51 - 16*z**3/51 - z**2. Factor c(o).
-2*(o - 4)**2/17
Let n be (-2790)/20*16/10. Let s = -222 - n. Suppose 2/5*q**3 - 2/5 + 6/5*q - s*q**2 = 0. Calculate q.
1
Let v be (2/6*0)/(-2). Suppose -8*l**2 + 2*l - 7*l**4 - 3*l**2 + l**3 + v*l + 15*l**3 = 0. What is l?
0, 2/7, 1
Let o(p) be the first derivative of -2*p**3/9 - 2*p**2 - 6*p - 2. Factor o(d).
-2*(d + 3)**2/3
Let z(o) = o**2 - 7. Let f be z(-3). Let i(b) be the second derivative of 5/6*b**3 - b + 1/20*b**5 + 0 - 1/3*b**4 - b**f. Factor i(r).
(r - 2)*(r - 1)**2
Let k(h) be the third derivative of -1/6*h**5 + 1/15*h**6 + 1/6*h**4 - 1/105*h**7 + 0 + 4*h**2 + 0*h + 0*h**3. Find o, given that k(o) = 0.
0, 1, 2
Let d be ((-753)/(-6))/(1/(-2)). Let o = d - -2261/9. Factor -2/3*h**2 + 0 - 2/9*h**4 + o*h + 2/3*h**3.
-2*h*(h - 1)**3/9
Let q(o) be the first derivative of 2*o**5/5 + o**4/4 - o**3/3 - o**2 + o + 2. Let t(h) = h**4 - h + 1. Let z(u) = -2*q(u) + 2*t(u). Factor z(s).
-2*s*(s - 1)*(s + 1)**2
Factor 0 + 3/7*v**4 + 3/7*v - 3/7*v**3 - 3/7*v**2.
3*v*(v - 1)**2*(v + 1)/7
Factor -1/6*s - 1/6*s**2 + 1/3.
-(s - 1)*(s + 2)/6
Suppose -4*l + 0*l = -28. Factor -2*w**3 + l*w**2 + 6*w - 3*w**2 + 0*w**3.
-2*w*(w - 3)*(w + 1)
Let c be (2/(-9))/(-2) - (11 - 11). Let n(x) be the first derivative of 0*x - 1/3*x**2 - 2 - c*x**3. Determine b, given that n(b) = 0.
-2, 0
Let m(h) be the third derivative of h**6/600 + h**5/150 - 29*h**2. Suppose m(g) = 0. What is g?
-2, 0
Let f(q) be the second derivative of 13*q**4/90 - 11*q**3/45 - 2*q**2/15 - 5*q. Find s, given that f(s) = 0.
-2/13, 1
Let m(n) be the third derivative of -n**7/735 + n**6/105 - n**5/42 + n**4/42 + n**2 + 6. What is r in m(r) = 0?
0, 1, 2
Factor -2*r**2 - 1/2*r**3 - 5/2*r - 1.
-(r + 1)**2*(r + 2)/2
Let u = -2924/7 - -418. Suppose -1/7*m**2 - 1/7 + u*m = 0. Calculate m.
1
Let i be (124/(-465))/(0 - 2/5). Factor -i + 2/3*f**2 + 0*f.
2*(f - 1)*(f + 1)/3
Let k(m) = -7*m**4 - 7*m**3 + 3*m**2 - 3*m. Let d(b) = 13*b**4 + 13*b**3 - 5*b**2 + 5*b. Let t(y) = -3*d(y) - 5*k(y). Find j such that t(j) = 0.
-1, 0
Let p be (-8)/(-7)*(-3)/(-6). What is k in 0*k + p*k**2 - 6/7*k**5 + 0 + 16/7*k**4 - 2*k**3 = 0?
0, 2/3, 1
Let w be 2/(-4)*2 + 3. Determine y, given that 2 + y**2 - 6*y - 3*y**2 - 4*y**2 - 2*y**w = 0.
-1, 1/4
Let o be 68/8 + -4 - 3. Suppose -o*d**2 + 3/2 + 0*d = 0. What is d?
-1, 1
Let j(y) be the third derivative of -y**8/336 - y**7/105 - y**6/120 - 15*y**2. Suppose j(o) = 0. Calculate o.
-1, 0
Suppose 0 = -k + 4*q + 5 + 6, 4*k - q - 14 = 0. Let x(l) be the first derivative of 0*l + 1 + 0*l**2 + 1/5*l**5 - 2/15*l**k - 3/20*l**4. Factor x(u).
u**2*(u - 1)*(5*u + 2)/5
Let k(r) be the third derivative of 0*r**3 + 0 - 1/80*r**5 - 1/32*r**4 + 0*r + 2*r**2. Solve k(d) = 0 for d.
-1, 0
Suppose r - 36 = -4*u, -2*r + 0*r = u - 44. Let j = r - 39/2. Factor 3/2*q + 1/2*q**3 + j + 3/2*q**2.
(q + 1)**3/2
Let g(h) be the second derivative of -h**2 + 1/42*h**4 - h + 0 + 1/21*h**3 - 1/70*h**5. Let i(l) be the first derivative of g(l). Factor i(n).
-2*(n - 1)*(3*n + 1)/7
Let x(q) be the second derivative of -2*q**2 - 1/3*q**3 + 3/10*q**5 + 0 + 6*q + 2/3*q**4. Find m such that x(m) = 0.
-1, 2/3
Let q(y) = 14*y + 18. Let p(i) = -i**2 + 71*i + 90. Let d(v) = -4*p(v) + 22*q(v). Factor d(t).
4*(t + 3)**2
Let v(c) = -c - 8. Let q be v(0). Let m be (-34)/q - 3/(-4). Find h such that -2*h**3 + h**3 - 2*h**3 + 4*h**3 - h**m = 0.
-1, 0, 1
Let o(q) be the first derivative of 0*q**4 + 1 + 1/9*q**3 + 0*q - 1/5*q**5 + 1/9*q**6 + 0*q**2. Factor o(n).
n**2*(n - 1)**2*(2*n + 1)/3
Let x(z) be the first derivative of z**3/12 - z - 2. Let x(o) = 0. What is o?
-2, 2
Suppose 3*z - 4 = 2*c, -14 + 46 = 5*c + 3*z. Factor 0*o**2 + o**2 + 3*o**3 - 14*o**4 + 2*o**2 - 3*o + 11*o**c.
-3*o*(o - 1)**2*(o + 1)
Let u(m) be the first derivative of 2*m**4/5 + 34*m**3/15 - 16*m**2/5 - 2*m - 49. Factor u(z).
2*(z - 1)*(z + 5)*(4*z + 1)/5
Find y, given that 2/13*y**4 - 4/13*y - 2/13 + 0*y**2 + 4/13*y**3 = 0.
-1, 1
Suppose 12*a - 2 = 22. Factor 2/3 + 5/3*q - 2/3*q**a - 5/3*q**3.
-(q - 1)*(q + 1)*(5*q + 2)/3
Let m = -10 + 14. Suppose m*t - t = 6. Solve t*b**5 - b**3 + b**4 - 3*b**2 - b**5 - b**2 + 3*b**2 = 0.
-1, 0, 1
Let f = -30 + 121/4. Factor 1/4*p**2 - 1/4*p**4 - 1/4*p**5 + 0 + 0*p + f*p**3.
-p**2*(p - 1)*(p + 1)**2/4
Let m(r) be the second derivative of r**9/18900 + r**8/5600 - r**6/1800 - r**4/2 + 2*r. Let l(w) be the third derivative of m(w). Factor l(x).
2*x*(x + 1)**2*(2*x - 1)/5
Let p(h) be the third derivative of -h**7/210 + h**6/30 - h**5/12 + h**4/12 + 5*h**2. Suppose p(w) = 0. Calculate w.
0, 1, 2
Let d(l) = 6*l**2 - 9*l + 7. Let s(r) = -r**2 + r - 1. Let b(z) = d(z) + 5*s(z). Let j be b(5). Factor y**2 - 12*y + j*y**2 + 2*y**2 + 2 + 8*y**2.
2*(3*y - 1)**2
Let r(k) = -2*k**3 + 14*k**2 - k + 11. Let d be r(7). Factor 8/5*o**3 + 2/5*o**5 + 0 + 0*o - 8/5*o**d + 0*o**2.
2*o**3*(o - 2)**2/5
Let f(i) = 144*i**3 + 234*i**2 + 99*i + 15. Let a(v) = -v**3 + v**2 + v + 1. Let l(z) = -3*a(z) + f(z). Factor l(c).
3*(c + 1)*(7*c + 2)**2
Let t(g) = g**3 + 5*g**2 - 2*g - 4. Let b be t(-5). Let j be 6/9*b/2. Factor -2/3*m**j - 2*m - 4/3.
-2*(m + 1)*(m + 2)/3
Let o(p) be the second derivative of p**5/80 + p**4/32 - p**3/4 + p**2 + p. Let z(x) be the first derivative of o(x). Factor z(h).
3*(h - 1)*(h + 2)/4
Let a(c) be the third derivative of -1/240*c**6 + 0*c**4 + 0 + 1/120*c**5 + 0*c + 0*c**3 - 3*c**2. Solve a(s) = 0.
0, 1
Let 2/11 + 2/11*x**3 - 2/11*x - 2/11*x**2 = 0. What is x?
-1, 1
Find z, given that -14/5 - 2/5*z**2 - 16/5*z = 0.
-7, -1
Let r(x) be the first derivative of x**3 - x -