7*p**5 - 12/7*p**2 + 0 + 12/7*p**4 + 6/7*p**3 + 0*p = 0. What is p?
-1, 0, 1, 2
Let c be (-18153)/(-6048) - 1*3. Let n(r) be the third derivative of 0*r**7 - r**2 + 0*r**5 + 0 - 1/120*r**6 + 0*r + c*r**8 + 0*r**3 + 1/48*r**4. Factor n(h).
h*(h - 1)**2*(h + 1)**2/2
Let o = 4/91 - -3/91. Let u = o - -8/65. Factor 0 + 0*d - u*d**4 + 0*d**3 + 1/5*d**2.
-d**2*(d - 1)*(d + 1)/5
Suppose 9 = 3*q - 0. Determine i, given that -678*i**5 + 24*i - 204*i**5 + 128*i**2 - 672*i**4 + 208*i**q - 56*i = 0.
-2/3, 0, 2/7
Find i, given that -2/5*i**2 + 12/5*i + 0 = 0.
0, 6
Factor -3*v**2 - 3/7*v**4 - 9/7*v - 15/7*v**3 + 0.
-3*v*(v + 1)**2*(v + 3)/7
Let q(p) = p**2 - p - 1. Suppose 4*v - 4 = 8. Let k(n) = -n**3 + 6*n**2 - 24*n + 30. Let b(t) = v*q(t) + k(t). Solve b(h) = 0.
3
Let q(g) be the third derivative of -g**8/1512 - g**7/945 + g**6/270 + g**2 + 4. Solve q(t) = 0.
-2, 0, 1
Let n = -58 + 64. Let j(c) be the second derivative of 2/7*c**2 + 1/105*c**n - 1/14*c**4 - 1/21*c**3 + 0 - c + 1/70*c**5. Let j(q) = 0. Calculate q.
-2, -1, 1
Let s = 41/3 - 13. Suppose 0*g**2 + s*g + 0 - 2/3*g**3 = 0. What is g?
-1, 0, 1
Let b(a) = -18*a**4 - 30*a**3 + 23*a**2 + 29*a - 16. Let n(h) = -27*h**4 - 45*h**3 + 34*h**2 + 44*h - 24. Let o(d) = 8*b(d) - 5*n(d). Let o(v) = 0. Calculate v.
-2, -1, 2/3
Let g(c) be the first derivative of -c**4/12 - 2*c**3/9 - c**2/6 - 11. Suppose g(a) = 0. Calculate a.
-1, 0
Let n = -5 + 10. Let f(c) = 9*c**4 + 12*c**3 + 13*c**2 - 2*c + 4. Let y(s) = 10*s**4 + 12*s**3 + 14*s**2 - 3*s + 5. Let p(z) = n*f(z) - 4*y(z). Factor p(x).
x*(x + 1)**2*(5*x + 2)
Let g(j) be the first derivative of -j**6/10 - 9*j**5/25 - 9*j**4/20 - j**3/5 - 4. Solve g(a) = 0 for a.
-1, 0
Let m(s) be the first derivative of 13/2*s**4 - 8*s**3 + 1/3*s**6 - 12/5*s**5 + 4*s**2 + 0*s - 3. Find v, given that m(v) = 0.
0, 1, 2
Let d(x) = x + 1. Let q(u) = -u**4 + 5*u + 5. Let c = -4 + 0. Let m(a) = c*q(a) + 20*d(a). Determine v so that m(v) = 0.
0
Let r = -1 + 4. Suppose 0 = 2*t + 5*i + 13, -r*i + 4 = 2*t + 7. Factor -t - 10*m**3 + 6 + 4*m**2.
-2*m**2*(5*m - 2)
Let k(c) be the second derivative of c**6/60 + c**5/20 - c**3/6 - c**2/4 + 5*c. Solve k(b) = 0 for b.
-1, 1
Let g(t) be the third derivative of 0*t**4 + 2*t**2 + 0*t + 0 + 1/560*t**8 + 1/350*t**7 - 1/200*t**6 + 0*t**3 - 1/100*t**5. Solve g(s) = 0.
-1, 0, 1
Factor -3/4*z**2 + 9/4 - 3/2*z.
-3*(z - 1)*(z + 3)/4
Let w = -3 + 6. Let f(a) be the second derivative of 0*a**w + 2*a - 1/6*a**4 + a**2 + 0. Factor f(z).
-2*(z - 1)*(z + 1)
Let o(a) be the second derivative of 2*a + 5/4*a**3 - 3/2*a**2 - 3/8*a**5 + 3/20*a**6 - 1/8*a**4 + 0. Determine w so that o(w) = 0.
-1, 2/3, 1
Let b = 2 + -3. Let f(q) = q**5 - q**4 - q**3 - 1. Let c(d) = -19*d**5 - 20*d**4 + 16*d**3 + 30*d**2 + 3*d - 2. Let m(s) = b*c(s) - 4*f(s). Factor m(p).
3*(p - 1)*(p + 1)**3*(5*p - 2)
Let g(o) be the first derivative of 9*o**3 + 57*o**2 + 24*o - 26. Factor g(w).
3*(w + 4)*(9*w + 2)
Let p(n) = -n**3 + 4*n**2 + 5*n + 2. Let x be p(5). Factor 6*g**x - 4*g**3 + g**3 + 6*g - 9*g**2.
-3*g*(g - 1)*(g + 2)
Let s(c) = 2*c. Let a be s(2). Factor -9 + 3*d**2 + 9 + 12*d**a + 12*d**3.
3*d**2*(2*d + 1)**2
Let t = -4 - -6. Suppose -2*j + 3*d = 4*d - 12, 3*j + t*d = 20. Factor 2*y**2 - 2 + 0*y**2 + 4 + j*y.
2*(y + 1)**2
Let r = -55 + 60. Let f(u) be the first derivative of 0*u**2 - 1 + 3/4*u**4 + 0*u + 3/10*u**r + 1/2*u**3. Factor f(m).
3*m**2*(m + 1)**2/2
Let g(i) = 2*i - 6. Let n be g(5). What is p in -25*p**5 - 21*p + 9*p**5 - 113*p**3 + 3 + 72*p**n - 1 + 26*p**2 + 50*p**2 = 0?
1/4, 1, 2
Let c be (3 + -5)*1 - (-170)/45. Determine s, given that -2/9*s**3 + c*s**4 - 8/9*s**5 + 2/9*s + 2/9 - 10/9*s**2 = 0.
-1/2, 1
Let d(f) = -2*f**5 + 2*f**4 - 6*f**3 - 2*f**2 - 4*f. Let h(j) = -3*j**5 + 3*j**4 - 7*j**3 - 3*j**2 - 5*j. Let b(z) = -5*d(z) + 4*h(z). Factor b(p).
-2*p**2*(p - 1)**2*(p + 1)
Let s(p) = -p**3 + 10*p**2 - 9*p + 5. Let b be s(9). Let y = -109 - -547/5. Let 0*h - y*h**b - 2/5*h**2 + 0 + 2/5*h**4 + 2/5*h**3 = 0. Calculate h.
-1, 0, 1
Let n(g) be the second derivative of -g**4/3 - 2*g**3 - 4*g**2 - 10*g. Factor n(f).
-4*(f + 1)*(f + 2)
Let b(k) be the first derivative of 2*k**6/21 - 12*k**5/35 + 13*k**4/28 - 2*k**3/7 + k**2/14 - 1. Factor b(s).
s*(s - 1)**2*(2*s - 1)**2/7
Let c be (1 - 1) + (-48)/90. Let w = 14/15 + c. Suppose -w*j + 4/5*j**2 + 0 = 0. What is j?
0, 1/2
Let y(q) be the second derivative of 2*q**6/75 - 13*q**5/100 + q**4/20 - 2*q + 1. Factor y(a).
a**2*(a - 3)*(4*a - 1)/5
Let r = 25/2 + -8. Factor 3 + r*w + 3/2*w**2.
3*(w + 1)*(w + 2)/2
Let f(t) = -4*t**5 - 4*t**4. Let x(l) be the second derivative of -5*l**7/42 - l**6/6 - 2*l. Let a(n) = -6*f(n) + 5*x(n). Factor a(g).
-g**4*(g + 1)
Let m(w) be the first derivative of -4*w**3/9 - 38*w**2/3 + 34. Find u such that m(u) = 0.
-19, 0
Factor -1/8*v + 0 + 1/4*v**2.
v*(2*v - 1)/8
Let k(l) = -l - 18. Let m be k(-21). Let w(o) be the third derivative of 2*o**2 - 1/240*o**6 + 0 + 1/48*o**4 - 1/6*o**m + 0*o + 1/60*o**5. Factor w(g).
-(g - 2)*(g - 1)*(g + 1)/2
Factor z**2 - z**4 - 428*z + 428*z.
-z**2*(z - 1)*(z + 1)
Let w(v) be the first derivative of 2*v**6/3 - 16*v**5/5 + 5*v**4 - 8*v**3/3 + 41. Factor w(i).
4*i**2*(i - 2)*(i - 1)**2
Let i(d) = 12*d - 58. Let p be i(5). Let n(m) = 2*m - 4. Let c be n(3). Factor 2/3*q**p - c*q + 4/3.
2*(q - 2)*(q - 1)/3
Determine m, given that 3/2 - 9/4*m + 3/4*m**2 = 0.
1, 2
Solve -1 + 1/5*k**3 + 11/5*k - 7/5*k**2 = 0 for k.
1, 5
Suppose -4*t + 36 = -0*t. Suppose 4*m = a + 10, -t = -m - 6*a + 3*a. Factor 3*z**4 + 0*z + 7/3*z**m + 0 - 2/3*z**2.
z**2*(z + 1)*(9*z - 2)/3
Let a(k) be the third derivative of -k**6/60 + k**5/15 - k**4/12 - k**3/2 - 2*k**2. Let r(f) be the first derivative of a(f). Solve r(u) = 0 for u.
1/3, 1
Let c(t) be the third derivative of -t**5/180 - t**4/24 - t**3/9 - 2*t**2. Find h such that c(h) = 0.
-2, -1
Let z(h) = -h**2 - h + 4. Let t be z(3). Let s be t/16 - 7/(-2). Factor 2*o - o**2 + 2*o**4 + 7*o**2 - 2*o**s - 8*o**2.
2*o*(o - 1)**2*(o + 1)
Let u(j) be the second derivative of 3*j + 0 - j**3 - 1/6*j**4 + 0*j**2. Solve u(d) = 0.
-3, 0
Let g(q) be the first derivative of 1/2*q**2 - 1/4*q**4 - 2 - 1/3*q**3 + q. Factor g(d).
-(d - 1)*(d + 1)**2
Let f(s) be the second derivative of -s**6/40 + s**5/30 + s**4/24 + 3*s**2/2 - 3*s. Let q(h) be the first derivative of f(h). Factor q(n).
-n*(n - 1)*(3*n + 1)
Let k be ((-1)/(-3))/(((-190)/12)/(-19)). Factor k*j - 2/5*j**2 + 4/5.
-2*(j - 2)*(j + 1)/5
Solve 36*i - 41*i**3 - 20 - 240*i + 170*i**2 + 3*i**4 + 92 = 0.
2/3, 1, 6
Factor -86 + 86 + 0*p**4 - 3*p**3 - p**4.
-p**3*(p + 3)
Let u(b) = b**5 + b**2 + b. Let a(r) = 5*r**5 + 6*r**4 - 15*r**3 - 28*r**2 + 14*r + 24. Let n(m) = -a(m) + 2*u(m). Find y, given that n(y) = 0.
-2, -1, 1, 2
Let c(o) = 3*o**2 - 13. Let n(h) = 2*h**2 - 6. Let i(v) = -2*c(v) + 5*n(v). Factor i(m).
4*(m - 1)*(m + 1)
Let f be (116/(-638))/(1/2*-1). Factor 30/11*a**2 + 38/11*a**3 + 14/11*a**4 + 2/11*a - f.
2*(a + 1)**3*(7*a - 2)/11
Let u be (-128)/(-120) + (-4)/10. Factor 1/3*k**4 + 1/3*k**2 + 0 + 0*k + u*k**3.
k**2*(k + 1)**2/3
Let z(b) = -24*b**3 + b**2 - 6*b**5 - 5*b**2 + 30*b**5 + 2*b**4 + 24*b**2. Let j(u) = u**5 - u**3 + u**2. Let d(n) = 44*j(n) - 2*z(n). Factor d(l).
-4*l**2*(l - 1)*(l + 1)**2
Factor 138/11*g**3 + 8/11*g - 56/11*g**2 + 0 - 140/11*g**4 + 50/11*g**5.
2*g*(g - 1)**2*(5*g - 2)**2/11
Let w = 37 + -35. Let v(y) be the third derivative of 0 - 1/30*y**5 + 0*y**6 + 1/105*y**7 - w*y**2 + 0*y**3 + 0*y**4 + 0*y. Solve v(a) = 0 for a.
-1, 0, 1
What is l in 8/7 + 8/7*l + 6/7*l**5 - 22/7*l**3 + 2/7*l**4 - 18/7*l**2 = 0?
-1, 2/3, 2
Factor -1/4*c**4 + 1/2*c**3 + 0 - 1/4*c**2 + 0*c.
-c**2*(c - 1)**2/4
Suppose -19 = -13*b + 20. Let z(w) be the second derivative of 4/7*w**2 - 11/42*w**4 - 4/7*w**b + 5/21*w**6 + 0 + 2*w + 3/7*w**5. Suppose z(q) = 0. Calculate q.
-1, 2/5
Let x(p) = 6*p**5 - 6*p**4 - 3*p**2. Let h(g) = 5*g**5 - 5*g**4 - 2*g**2. Let b(m) = 3*h(m) - 2*x(m). Factor b(n).
3*n**4*(n - 1)
Let r(j) = 5*j**2 - 8*j - 7. Suppose 4 = u + u. Let w = u + 4. Let x(o) = o**2 - o - 1. Let i(d) = w*x(d) - r(d). Let i(y) = 0. What is y?
-1
Let s(t) be the second derivative of t**7/126 - t**6/90 - t**5/30 + t**4/18 + t**3/18 - t**2/6 - 6*t. What is c in s(c) = 0?
-1, 1
Suppose 10 = 3*h + l, -h - 5*l = 