 0 = -7*o + 9*o. Let n(h) be the third derivative of -h**2 - 1/30*h**5 + 0*h + o*h**3 + 0 + 1/6*h**4. Suppose n(t) = 0. What is t?
0, 2
Let b be (-19)/(-10) - 84/56. Factor 0 + 0*q + 0*q**2 + 1/5*q**5 - b*q**4 + 1/5*q**3.
q**3*(q - 1)**2/5
Let n(i) be the second derivative of i**4/3 - 2*i**3/3 - 15*i. Find w, given that n(w) = 0.
0, 1
Let g(q) = -q**4 - q**3 - q**2 - q. Let t(y) = 3*y**4 + 9*y**2 + 12*y. Let z(r) = -6*g(r) - t(r). Factor z(k).
3*k*(k - 1)*(k + 1)*(k + 2)
Let s(i) = 2*i**3 + 2*i**2 + 4*i - 4. Let h(m) = m**2 + m - 1. Let j(d) = -d**3 - 7*d**2 + 6*d - 15. Let w be j(-8). Let v(n) = w*s(n) - 4*h(n). Factor v(y).
2*y**2*(y - 1)
Let z(h) = -43*h + 1 - 17 + 27 + 16*h**2 + 32. Let r(o) = -5*o**2 + 14*o - 14. Let b(g) = -7*r(g) - 2*z(g). Factor b(s).
3*(s - 2)**2
Let c(u) = -u**3 + u - 5. Let z(j) = -3. Let a(p) = -3*c(p) + 5*z(p). Factor a(n).
3*n*(n - 1)*(n + 1)
Let z(v) be the first derivative of 0*v**2 + 3 + 0*v**3 - 1/16*v**4 + 0*v + 1/20*v**5. What is g in z(g) = 0?
0, 1
Factor 3*r**5 - 12*r**4 - 125*r**2 + 3*r + 113*r**2 + 13*r**3 + 5*r**3.
3*r*(r - 1)**4
Let c be (-3 + 9)/(-3) + (-168)/(-70). Factor 1/5*x**4 + 0*x + 0 + 1/5*x**2 - c*x**3.
x**2*(x - 1)**2/5
Find x such that 36*x**2 - 58*x**3 + 7*x**3 + 6*x - 16*x**2 - 17*x**2 + 42*x**4 = 0.
-2/7, 0, 1/2, 1
Let h(q) = -14*q**5 + 18*q**4 + 6*q**3 - 22*q**2 + 6*q + 2. Let c(g) = -g**5 - g**4 + g**3 - g**2 - g + 1. Let l(v) = 2*c(v) - h(v). Find u such that l(u) = 0.
-1, 0, 2/3, 1
Let v(b) be the third derivative of -3*b**6/40 + b**5/20 + b**4/12 - 3*b**2. Factor v(y).
-y*(3*y - 2)*(3*y + 1)
Let h(t) = -10*t**2 + t - 9. Let j(x) = 5*x**2 - x + 4. Let q(y) = -4*h(y) - 9*j(y). Factor q(u).
-5*u*(u - 1)
Let i(g) be the first derivative of g**7/84 + g**6/60 - 3*g**5/40 - g**4/24 + g**3/6 - 2*g + 3. Let u(w) be the first derivative of i(w). Factor u(n).
n*(n - 1)**2*(n + 1)*(n + 2)/2
Suppose 0 = -8*k - 1099 + 1163. Suppose -6*c**2 + 8/3 + k*c - 14/3*c**3 = 0. What is c?
-2, -2/7, 1
Find y, given that -5*y**4 - 6*y - 10*y - 25*y**2 - 20*y**3 + 0*y**4 + 6*y = 0.
-2, -1, 0
Factor 7/4*b**4 - 1/4*b**5 - 4*b + 25/4*b**2 - 19/4*b**3 + 1.
-(b - 2)**2*(b - 1)**3/4
Let i(a) = a - 3. Let d(u) = u**3 + 5*u**2 + 4*u - 1. Let b be d(-3). Let g be i(b). Determine o, given that -3 - o**g + 6*o - o**2 - o**2 = 0.
1
Suppose -5*c + 6*c = 4. Let g(q) be the third derivative of 1/12*q**c + q**2 + 0*q**3 - 1/30*q**5 + 0 + 0*q. Factor g(t).
-2*t*(t - 1)
Let r(d) = d**3 - 3*d + 3. Let a be r(2). Suppose -a*v + 4 = -6. Find l, given that -2*l + l - v*l**2 + 0*l - l**3 = 0.
-1, 0
Factor 0*r**3 + 2*r**3 - 7*r**3.
-5*r**3
Suppose 0 = 4*c - 20 + 4. Suppose 0 = 4*d + 4*g - 20, -g - c = 4*d - 5*g. Factor -10*h**2 + 12*h**d - 3*h + 5*h.
2*h*(h + 1)
Suppose -4*g + g = -3*v + 3, -v = 5*g - 7. Factor 3 + c + c + v*c**2 - 7.
2*(c - 1)*(c + 2)
Let o be 0 + 3 - (-5 + 8). Let u = 0 - o. Suppose -1/2*j**3 - 3/4*j**2 - 1/4*j + u = 0. What is j?
-1, -1/2, 0
Let a(f) = -f**4 + 3*f**3 - 10*f**2 + 8*f. Let j(q) = q + q + 21*q**2 - q - 22*q**2. Let g(i) = -3*a(i) + 21*j(i). Let g(w) = 0. Calculate w.
0, 1
Let h(w) be the second derivative of -w**6/10 + 21*w**5/80 - w**4/8 - w**3/8 - 10*w. Factor h(y).
-3*y*(y - 1)**2*(4*y + 1)/4
Let c(g) be the third derivative of g**7/105 + 7*g**6/240 + g**5/60 - g**4/48 + g**2. Let c(d) = 0. What is d?
-1, 0, 1/4
Let z(s) be the first derivative of s**5/15 + s**4/6 - 4*s**3/9 - s**2/3 + s + 17. Factor z(w).
(w - 1)**2*(w + 1)*(w + 3)/3
Let p(c) be the second derivative of -c**7/3360 + c**6/240 - c**5/40 - c**4/6 - 2*c. Let b(x) be the third derivative of p(x). Solve b(y) = 0 for y.
2
Let d(c) be the second derivative of -c**9/7560 + c**8/1680 - c**7/1260 - c**4/12 + 2*c. Let n(y) be the third derivative of d(y). Factor n(z).
-2*z**2*(z - 1)**2
Let q be (-1)/(3/(-6) + 0). Suppose b - 4 = q. Factor 4*l**3 + 5*l**5 - 4*l**3 + 2*l**4 - 2*l**2 + l - b*l**5.
-l*(l - 1)**3*(l + 1)
Let i(r) be the third derivative of -r**9/10584 - r**8/2940 - r**7/2940 - r**3/6 - r**2. Let x(h) be the first derivative of i(h). Let x(d) = 0. Calculate d.
-1, 0
Let q(t) = -3*t**3 - 2*t. Let j(b) = 6*b + 1. Let g be j(-1). Let p(s) = -s**3. Let n(d) = g*p(d) + q(d). Factor n(h).
2*h*(h - 1)*(h + 1)
Suppose 20*o = 19*o + 24. Suppose o*a**3 + 18*a**5 + 2*a**2 + 42*a**4 - 3*a**4 + a**2 = 0. What is a?
-1, -1/6, 0
Let f(d) be the third derivative of 0*d**3 + 0*d - 1/100*d**5 + 0 - 3*d**2 + 1/600*d**6 + 1/60*d**4. Factor f(v).
v*(v - 2)*(v - 1)/5
Let h(z) be the second derivative of 0*z**2 - 1/9*z**3 + 0 - 1/36*z**4 - z. Factor h(w).
-w*(w + 2)/3
Suppose -3*u = -2*o - 0*o, 3*o - 2*u = 0. Let b = 2 - o. Factor -4/7*i - 6/7*i**b + 2/7.
-2*(i + 1)*(3*i - 1)/7
Let b(p) be the second derivative of p**9/37800 + p**8/8400 - p**6/900 - p**5/300 - p**4/6 + 2*p. Let k(a) be the third derivative of b(a). Factor k(l).
2*(l - 1)*(l + 1)**3/5
Let 14/5*w**3 + 0*w - 16/5*w**4 - 4/5*w**2 + 6/5*w**5 + 0 = 0. Calculate w.
0, 2/3, 1
Let b = -73 - -73. Suppose 0 + 2/5*r**2 + b*r = 0. Calculate r.
0
Let v(s) be the second derivative of s**4/36 + s**3/3 + 3*s**2/2 + 7*s. Factor v(l).
(l + 3)**2/3
What is t in 27/7*t**2 - 24/7 - 6/7*t**3 + 6/7*t - 3/7*t**4 = 0?
-4, -1, 1, 2
Let u(p) be the second derivative of -p**7/840 + p**6/360 + p**5/120 - p**4/24 - p**3/6 + 2*p. Let v(x) be the second derivative of u(x). Factor v(c).
-(c - 1)**2*(c + 1)
Suppose 54*f**3 - 12 + 15*f**4 + 125*f - 125*f + 51*f**2 = 0. Calculate f.
-2, -1, 2/5
Let f(y) = y**3 - 8*y**2 + 9*y - 9. Let p be f(7). Suppose 0*n**2 + 0*n + 4/5*n**3 - 14/5*n**4 + 0 + 6/5*n**p = 0. Calculate n.
0, 1/3, 2
Let m be 6/(-5) - 4/(-6). Let c = m - -176/105. Factor -c*u**3 + 0 - 10/7*u**2 - 2/7*u.
-2*u*(u + 1)*(4*u + 1)/7
Determine y, given that 16*y**2 - 3*y + 2*y - 17*y**2 = 0.
-1, 0
Let r = -1207/1170 - 8/117. Let i = r + 27/20. Determine z, given that -i*z**2 - 1/2*z + 0 = 0.
-2, 0
Factor u - u**3 + 0*u**2 + 1/2*u**4 - 1/2.
(u - 1)**3*(u + 1)/2
Let o(h) be the third derivative of -1/12*h**4 - 1/70*h**7 + 0*h + 1/20*h**5 + 1/60*h**6 + 0 + 3*h**2 + 0*h**3. Factor o(d).
-d*(d - 1)*(d + 1)*(3*d - 2)
Let l(v) = 2*v**4 + 8*v**3 + 2*v**2 + 4*v. Let r(b) = b**4 - b. Let s(i) = -l(i) - 4*r(i). Determine z so that s(z) = 0.
-1, -1/3, 0
Let r(p) be the third derivative of -p**6/240 - p**5/60 - 2*p**2 + 12*p. Factor r(n).
-n**2*(n + 2)/2
Let z(t) = t**2 - 14*t + 17. Let i be z(12). Let f be i/(-6) - 2/3. Solve f*j**2 + 1/2 + j = 0 for j.
-1
Factor 8*u**3 + 0*u**2 + 36*u**4 - 32*u**4 + 4*u**2.
4*u**2*(u + 1)**2
Suppose c = 5*b + 27, -2*b - 8 = -3*c + 4*c. Factor 3*w**4 + 2*w**2 + 3*w - 3*w**3 - w**5 - 3*w - w**c.
-w**2*(w - 1)**3
Let z be 9/5 + 38/190. Let 16/13*w + 10/13*w**z - 8/13 = 0. Calculate w.
-2, 2/5
Solve -5*i**3 + 3*i**3 + 2*i**2 - 5*i + 7*i - 2 = 0 for i.
-1, 1
Let f be -3 + 8/(3/3). Suppose 0 = 3*w + f - 17. Let l - 3*l**3 - w*l**2 + 2*l**2 + 2 - 2*l**2 = 0. Calculate l.
-1, 2/3
Let s(h) = -3*h**2 - 66*h + 3. Let w be s(-22). Factor 25/3*j**w + 4/3 + 8*j + 15*j**2.
(j + 1)*(5*j + 2)**2/3
Suppose -5*t - 144 = -2*t. Let c = t + 145/3. Let 1/3 + c*y**2 - 2/3*y = 0. Calculate y.
1
Determine b so that 0*b**4 + 0*b - 1/5*b**5 + 1/5*b**3 + 0 + 0*b**2 = 0.
-1, 0, 1
Let z = -29518261/70380415 - 1/136661. Let o = -2/103 - z. Let -2/5*n + 2/5 - 2/5*n**2 + o*n**3 = 0. What is n?
-1, 1
Let t = 21 - 22. Let g be (t - (-2 - -1))/2. Let 2/9*y**3 + g + 2/9*y**2 - 4/9*y = 0. What is y?
-2, 0, 1
What is k in 2*k**2 + k + 6*k**3 - k**3 - 2*k**3 - 2*k**3 = 0?
-1, 0
Factor 1/3*o + 0 + 1/3*o**2.
o*(o + 1)/3
Suppose 3*h = 7*h + 4. Let q(s) = s**2 - 2*s - 1. Let o be q(h). Factor -2 - o*u**3 - 2*u**2 + 2*u**2 + 2*u**2 + 2*u.
-2*(u - 1)**2*(u + 1)
What is v in 5/2*v - 5/2*v**3 + 1/3*v**2 - 1/3 = 0?
-1, 2/15, 1
Suppose 1 = 2*o - 5*r, 4*o - r - 4 = 7. Suppose -4*k = f + f, -o*f = -4*k - 10. Factor -1/3*x - 1/3*x**3 + 0 - 2/3*x**f.
-x*(x + 1)**2/3
Let q = 1984/1505 - 38/35. Let z = q - -148/473. Factor 4/11 + 0*g**2 - 2/11*g**3 + z*g.
-2*(g - 2)*(g + 1)**2/11
Let y be (0 + 6)*(-44)/(-1). Factor -y*c**2 + 168*c**2 + 132*c - 267*c**2 - 12.
-3*(11*c - 2)**2
Let t(j) be the first derivative of 1/20*j**5 - 1/12*j**3 - 1/24*j**6 + 1/16*j**4 + 1 + 0*j + 0*j**2. Factor t(f).
-f**2*(f - 1)**2*(f + 1)/4
Let l = -48299/84 - -575. L