, 2 = -2*o + 3*x. Let k be ((-2)/(-7))/(0 - o). Solve 0*d**2 + 0*d**4 + 2/7*d**5 - k*d**3 + 0 + 0*d = 0.
-1, 0, 1
Let l = -143 - -145. Factor 0 + 0*j - 4/7*j**l + 2/7*j**3.
2*j**2*(j - 2)/7
Let w be (-1)/(3 + (-20)/6). Find q, given that 0*q**3 + 0*q**3 - 3*q**5 + 3*q**w + 6*q**4 + 6*q**5 = 0.
-1, 0
Let z(v) be the second derivative of 0 + 0*v**4 + 1/18*v**3 - 1/30*v**5 + 0*v**6 - 3*v + 0*v**2 + 1/126*v**7. Let z(t) = 0. Calculate t.
-1, 0, 1
Find b, given that -2/7*b**4 + 2/7*b**3 - 12/7 + 2*b**2 - 2/7*b = 0.
-2, -1, 1, 3
Let w(x) be the second derivative of 0 - 1/270*x**5 - 1/27*x**3 + 2*x**2 + 1/54*x**4 + 2*x. Let m(r) be the first derivative of w(r). What is k in m(k) = 0?
1
Let x(l) be the third derivative of 1/6*l**4 - 2*l**2 - 1/60*l**5 + 0*l - 1/2*l**3 + 0. What is k in x(k) = 0?
1, 3
Solve 2/3*u**4 + 0 - 2/3*u**3 + 2/3*u**5 - 2/3*u**2 + 0*u = 0.
-1, 0, 1
Let y = -50/23 + 1523/690. Let r(f) be the third derivative of f**2 - 1/3*f**4 + 0*f + 0 - 4/3*f**3 - y*f**5. Find x, given that r(x) = 0.
-2
Factor 4/5 - 2/5*f - 4/5*f**2 + 2/5*f**3.
2*(f - 2)*(f - 1)*(f + 1)/5
Factor 0 + 1/3*d**5 + 0*d - 1/3*d**3 - 1/3*d**4 + 1/3*d**2.
d**2*(d - 1)**2*(d + 1)/3
Let d be -2 + (15/(-9))/(2/(-6)). Factor 1/4*y**2 + 0*y - 1/4*y**d + 0.
-y**2*(y - 1)/4
Let h(f) = -3*f**3 - 2*f**2 - f. Let c be h(-2). Let d be 12/(-8)*(-8)/c. Suppose 1/3*q**4 + 0*q + d*q**2 + 0 + q**3 = 0. Calculate q.
-2, -1, 0
Let s(y) be the first derivative of 0*y**2 + 6 + y**3 + 0*y + 3/4*y**4. Factor s(d).
3*d**2*(d + 1)
Let w = 3222 - 16589/5. Let h = -95 - w. Factor -h*o + 0*o**2 - 2/5 + 4/5*o**3 + 2/5*o**4.
2*(o - 1)*(o + 1)**3/5
Suppose 5*v - v = 16. Let h = 1 + v. Find d, given that -2*d**h + 2*d**3 - d + 2*d**5 - d**5 = 0.
-1, 0, 1
Let i(u) = -u - 3. Let v be i(-4). Let c = v + -1. Factor -1/4*z**4 + 0 + c*z**2 + 0*z + 1/4*z**3.
-z**3*(z - 1)/4
Let j be (2/(-2))/(4/(-20)). Suppose j*s = -4*c + 30, 1 = -c + 6. Find m such that -3*m + 1 + 3*m**s + 0 - 3*m + 2 = 0.
1
Factor -g**3 + 1/3*g**5 - 1/3*g**2 + 2/3*g + 1/3*g**4 + 0.
g*(g - 1)**2*(g + 1)*(g + 2)/3
Let b(x) be the third derivative of x**6/480 + 7*x**5/40 + 49*x**4/8 + 343*x**3/3 - 42*x**2. What is z in b(z) = 0?
-14
Suppose 11 = -x - 3*l + 2, l = -x - 3. What is p in 0 + 2/3*p**3 + 0*p + x*p**2 - 2/3*p**4 = 0?
0, 1
Let c(p) be the first derivative of -1/8*p**4 + 0*p**2 + 0*p - 1/6*p**3 + 2. Find k such that c(k) = 0.
-1, 0
Suppose -r - m - 3 = -7, 4*m = r + 6. Factor 0*i + 1/4*i**r + 0.
i**2/4
Let c(l) be the second derivative of -3*l + 0 + 28/3*l**3 - 8*l**2 + 15*l**4 + 100/3*l**6 - 95/2*l**5. Factor c(m).
2*(4*m + 1)*(5*m - 2)**3
Let 69/2*o**2 + 3 + 43/2*o - 14*o**3 = 0. What is o?
-2/7, -1/4, 3
Let h = 211/490 - 3/98. Find t such that 0 - 4/5*t + h*t**2 = 0.
0, 2
Let c be (-4)/12 - (-76)/12. Factor 4 + 0*o**2 + 4*o**2 - 2*o**2 - c*o.
2*(o - 2)*(o - 1)
Let t be (-4)/(-1) + 2/(-2). Find w such that -5/4*w**5 + 0 + 1/2*w - 7/4*w**4 + 7/4*w**2 + 3/4*w**t = 0.
-1, -2/5, 0, 1
Let q = -13 - -19. Factor q*b + 5*b**4 + 2 + 12*b**2 - 3*b**4 + 2*b + 8*b**3.
2*(b + 1)**4
Let a(c) be the second derivative of 0*c**4 + 0*c**2 + 0*c**3 - 1/15*c**6 - 1/10*c**5 + 0 + 2*c. Factor a(p).
-2*p**3*(p + 1)
Let o(x) be the third derivative of x**6/20 + x**5/3 + 3*x**4/4 + 2*x**3/3 - 12*x**2. Factor o(s).
2*(s + 1)*(s + 2)*(3*s + 1)
Let y be -2*1/(-6)*7. Let s be 12/(-30) + 4 - 6/10. Factor -4/3*a**4 + 0 + y*a**s - 1/3*a - 2/3*a**2.
-a*(a - 1)**2*(4*a + 1)/3
Let x(u) = -9*u**3 + u. Let c be x(1). Let d be 9/(-2)*c/12. Factor -4/7*q**2 - 2*q + 2*q**d + 4/7.
2*(q - 1)*(q + 1)*(7*q - 2)/7
Solve -5/3*y**2 - 35/3*y - 50/3 = 0 for y.
-5, -2
Let g(q) be the third derivative of q**7/70 + 3*q**6/20 + 11*q**5/20 + 3*q**4/4 + 18*q**2. What is s in g(s) = 0?
-3, -2, -1, 0
Let g(a) be the second derivative of -a**6/75 + 6*a**5/25 - a**4 + 28*a**3/15 - 9*a**2/5 + a - 4. Factor g(k).
-2*(k - 9)*(k - 1)**3/5
Let i(x) be the first derivative of 1/10*x**5 + 0*x + 0*x**3 + 0*x**2 + 2 - 1/8*x**4. Find h such that i(h) = 0.
0, 1
Solve 3/7*x**3 + 8/7*x**2 - 2/7*x**4 + 4/7*x + 0 - 1/7*x**5 = 0 for x.
-2, -1, 0, 2
Let p(n) = 3*n**5 - 7*n**4 - 6*n**3 + 7*n**2 + 3*n. Let l(q) = 14*q**5 - 36*q**4 - 30*q**3 + 36*q**2 + 16*q. Let h(z) = -3*l(z) + 16*p(z). Solve h(i) = 0 for i.
-1, 0, 2/3, 1
Let b(h) be the second derivative of 0 - 2/15*h**6 - 1/3*h**4 + 2*h + 3/10*h**5 + 1/6*h**3 + 0*h**2 + 1/42*h**7. Factor b(t).
t*(t - 1)**4
Let b(y) be the first derivative of -8*y**4/27 + 8*y**3/27 - y**2/9 + 3*y + 3. Let f(n) be the first derivative of b(n). Suppose f(p) = 0. What is p?
1/4
Suppose 3*y = 8*y - 45. Let -4*v**2 - 3*v**2 + 4*v**3 + 5*v**4 + y*v**2 - 3*v**4 = 0. Calculate v.
-1, 0
Let w = 9 - 6. Find m such that -3*m**2 - w + 8*m + m + 7 - 10 = 0.
1, 2
Let p(h) be the second derivative of h**9/3024 - h**7/420 + h**5/120 - h**3/2 + 4*h. Let c(z) be the second derivative of p(z). Determine j so that c(j) = 0.
-1, 0, 1
Let d(x) = -120*x**3 - 395*x**2 + 320*x + 65. Let i(h) = 11*h**3 + 36*h**2 - 29*h - 6. Let j(o) = -6*d(o) - 65*i(o). Solve j(z) = 0 for z.
-7, 0, 1
Let p = -2 - -4. Let y be (-5)/((-25)/(-2))*-2. Factor 0 - 2/5*b + y*b**p - 2/5*b**3.
-2*b*(b - 1)**2/5
Let r(k) be the first derivative of 0*k**2 - 1 - 1/2*k**4 + 1/5*k**5 + 0*k + 1/6*k**6 + 0*k**3. Solve r(d) = 0 for d.
-2, 0, 1
Let b(f) = -f**2 + 1. Let w(l) = -3*l**5 + 3*l**4 + 9*l**3 - 18*l**2 + 6*l + 3. Let v(j) = -3*b(j) + w(j). Find s, given that v(s) = 0.
-2, 0, 1
Suppose 7*s = 6*s + 2. Let i(a) be the second derivative of -s*a + 1/30*a**6 + 1/10*a**5 - 1/2*a**2 + 0 + 0*a**4 - 1/3*a**3. Factor i(v).
(v - 1)*(v + 1)**3
Let u(k) = 11*k - 22. Let v be u(2). Factor v*q + 2/5*q**3 + 0*q**2 + 2/5*q**5 + 0 - 4/5*q**4.
2*q**3*(q - 1)**2/5
Suppose 0 = -4*p + 6 + 10. Find h, given that -8*h**p - 2*h + 10*h**4 - 4*h**4 + 6*h**2 - 4 + 2*h**3 = 0.
-1, 1, 2
Let r(p) = 63*p**5 - 39*p**4 - 88*p**3 + 23*p**2 + 23*p. Let k(z) = 16*z**5 - 10*z**4 - 22*z**3 + 6*z**2 + 6*z. Let q(f) = -9*k(f) + 2*r(f). Factor q(d).
-2*d*(d - 1)**2*(3*d + 2)**2
Factor -1/2*i + 0 + 1/2*i**3 + 1/4*i**4 - 1/4*i**2.
i*(i - 1)*(i + 1)*(i + 2)/4
Let p(w) be the third derivative of 0 + 1/240*w**5 + w**2 + 0*w**3 + 0*w**4 - 1/240*w**6 + 0*w + 1/840*w**7. Factor p(j).
j**2*(j - 1)**2/4
Find m, given that 0 - 2/7*m**3 + 12/7*m**2 - 18/7*m = 0.
0, 3
Find j such that 14 + 6*j + j**2 - 9*j - 12 = 0.
1, 2
Let a(m) = 3*m**3 + 152*m**2 + 1502*m + 4998. Let y(j) = 14*j**3 + 761*j**2 + 7511*j + 24989. Let k(d) = 11*a(d) - 2*y(d). Factor k(h).
5*(h + 10)**3
Let k = 1 - 1. Suppose 0 = -2*l - 5*z - 12, k = l - z - 8. Suppose -2*s**3 + 2*s**2 - 2*s**l + 2*s**3 = 0. Calculate s.
-1, 0, 1
Let r = 5 - 2. Let 2*d + 4*d**3 + 2*d + d**2 - 7*d**r - d - 1 = 0. Calculate d.
-1, 1/3, 1
Let r(c) = -2*c**3 + 4*c**2 - 5*c + 4*c**3 - c**3 + 2. Let w be r(-5). Suppose g**3 - 1/3*g**5 + 0 - 2/3*g + 1/3*g**w - 1/3*g**4 = 0. What is g?
-2, -1, 0, 1
Let n(z) be the first derivative of 2/9*z**3 + 0*z - 3 - 1/3*z**2. Let n(y) = 0. What is y?
0, 1
Let x(v) = v**2 + 12*v + 40. Let s be x(-7). Factor 0*w**3 - w**2 + 1/2*w - 1/2*w**s + 0 + w**4.
-w*(w - 1)**3*(w + 1)/2
Let v(o) be the second derivative of -o**4/36 + o**3/18 + o**2/3 - 20*o. Factor v(z).
-(z - 2)*(z + 1)/3
Let n(t) be the third derivative of -t**8/2520 - 2*t**7/1575 - t**6/900 - 5*t**2. Suppose n(l) = 0. What is l?
-1, 0
Let s(q) be the second derivative of -q**5/4 + 25*q**4/12 - 35*q**3/6 + 15*q**2/2 - 3*q. Suppose s(j) = 0. Calculate j.
1, 3
Let i(o) be the first derivative of 9/10*o**5 + 21/8*o**4 + o - 9/4*o**2 - 1 + 1/6*o**3. Factor i(q).
(q + 1)*(q + 2)*(3*q - 1)**2/2
Find o, given that 4*o**2 - 12*o**3 - 2*o**2 + 4*o**4 + 3*o**2 + 3*o**2 = 0.
0, 1, 2
Factor -30/11*g**4 - 24/11*g**3 - 6/11*g**5 + 0*g**2 + 0*g + 0.
-6*g**3*(g + 1)*(g + 4)/11
Factor 4/5*j + 36/5*j**2 + 44/5*j**3 + 16/5*j**4 - 4/5.
4*(j + 1)**3*(4*j - 1)/5
Factor 15/4*z + 9/4 + 7/4*z**2 + 1/4*z**3.
(z + 1)*(z + 3)**2/4
What is z in 3*z - 3*z - 5 - 10*z + 10*z**3 + 5*z**4 = 0?
-1, 1
Let r(d) be the third derivative of d**7/105 + d**6/15 + d**5/10 - d**4/3 - 4*d**3/3 - 28*d**2. Factor r(n).
2*(n - 1)*(n + 1)*(n + 2)**2
Suppose 0 = 5*n - 20 + 5. Factor 0*h**n + h + h**3 - 7*h**2 + 5*h**2.
h*(h - 1)**2
Let t(k) = -3*k**4 - 8*k**3 - 3*k**2. Let z(v) = -9*v*