Let r(o) = 0. Calculate o.
-1, -1/3, 1
Let b(l) be the second derivative of -l**4/12 + 4*l**3/3 - 8*l**2 + 22*l. Factor b(x).
-(x - 4)**2
Let n(o) = 5*o**3 + 31*o**2 - 5*o - 31. Let r(x) = 3*x**3 + 21*x**2 - 3*x - 21. Let g(f) = 5*n(f) - 7*r(f). Factor g(d).
4*(d - 1)*(d + 1)*(d + 2)
Let v(n) be the first derivative of n**4/24 - n**3/6 + n**2/4 - n/6 - 16. Factor v(l).
(l - 1)**3/6
Let z = 180484/77 - 2344. Let v = 296/231 - z. Let -v - 10/3*k - 2/3*k**3 - 8/3*k**2 = 0. What is k?
-2, -1
Let a(s) = 3*s**2 + 13*s - 4. Let l(q) = q**2 + q + 1. Let k(j) = -a(j) + 4*l(j). Let k(p) = 0. Calculate p.
1, 8
Factor -3/2*o**4 + 9/2*o**2 + 0 + 3*o + 0*o**3.
-3*o*(o - 2)*(o + 1)**2/2
Let t = -2/17 + 21/34. Find j, given that j - j**3 + 0 + 1/2*j**2 - t*j**4 = 0.
-2, -1, 0, 1
Let w(m) be the first derivative of m**4/4 - 3*m + 6. Let o(n) be the first derivative of w(n). Factor o(x).
3*x**2
Suppose 11*s = 1023 - 979. Factor 1/3*m**s + 1/3*m + 1/3 - 2/3*m**3 + 1/3*m**5 - 2/3*m**2.
(m - 1)**2*(m + 1)**3/3
Let s(c) be the first derivative of -c**9/4032 - c**8/672 - c**7/840 + c**6/180 - 5*c**3/3 + 3. Let f(n) be the third derivative of s(n). Factor f(j).
-j**2*(j + 2)**2*(3*j - 2)/4
Let z(g) be the third derivative of g**8/448 - 3*g**7/280 + 3*g**6/160 - g**5/80 + 5*g**2. Solve z(t) = 0.
0, 1
Let t be (-3)/(-2)*-2 + 6. Let p = 17 - 10. Let 3 + 3*b**2 + t*b + p*b + 0*b - 4*b = 0. Calculate b.
-1
Suppose 16 = 3*w + 1. Let s be 2/(-2) + 1*w. Solve -4*a + s*a**2 - 2*a - a**2 = 0 for a.
0, 2
Let o = 389857 - 17152999/44. Let s = -63/4 + o. What is l in 2/11*l**3 + s*l**2 + 0 + 2/11*l = 0?
-1, 0
Suppose 4*g + 63 = -2*p + 5, -5*g - 3*p - 71 = 0. Let s be 4/g*(-2)/2. Factor -s*i - 1/2*i**2 - 1/4*i**3 + 0.
-i*(i + 1)**2/4
Factor -10*j**2 - 10*j**3 + 0 - 5/2*j.
-5*j*(2*j + 1)**2/2
Factor -2/11*h**4 + 8/11*h**3 - 6/11*h**2 + 0 + 0*h.
-2*h**2*(h - 3)*(h - 1)/11
Factor -2*k**3 + 5*k**2 + 2*k**4 + 7*k**2 - 12*k**2.
2*k**3*(k - 1)
Find a, given that 1 - 1/4*a**4 + a - a**3 - 3/4*a**2 = 0.
-2, -1, 1
Factor -1 - 1/2*t**3 + 3/2*t + 0*t**2.
-(t - 1)**2*(t + 2)/2
Let x(f) be the first derivative of f**3/3 + f**2 + f + 3. Determine d, given that x(d) = 0.
-1
Suppose -5*w + 11 = 1. Factor -z - 4*z**3 + 5*z**3 - 2*z**2 - w + 4.
(z - 2)*(z - 1)*(z + 1)
Let n be 2*3/(-24)*48/(-36). Factor -n - s**2 + s + 1/3*s**3.
(s - 1)**3/3
Let z = 27577/72 - 383. Let c(j) be the third derivative of -z*j**4 - 1/90*j**5 + 0*j**3 - 2*j**2 + 0*j - 1/360*j**6 + 0. Determine y so that c(y) = 0.
-1, 0
Find b, given that -3*b**5 - 3*b - 9*b**3 + 9*b**3 + 6*b**3 = 0.
-1, 0, 1
Factor -1/6*a**2 - 1/6*a + 1/3.
-(a - 1)*(a + 2)/6
Let f be ((-2068)/(-7))/(4/2). Let a = 148 - f. Suppose -2/7*r**2 - a*r + 4/7 = 0. Calculate r.
-2, 1
Let i(y) = y + 1. Let s be i(2). Solve -19 + g**2 - s*g**2 + 8*g + 11 = 0.
2
Let d(a) be the second derivative of -3*a**4/4 + a**3 + 5*a. Factor d(b).
-3*b*(3*b - 2)
Let o(w) be the first derivative of -w**6/180 + 2*w**5/15 - 4*w**4/3 + 4*w**3/3 - 6. Let b(m) be the third derivative of o(m). Solve b(v) = 0 for v.
4
Let k(p) be the third derivative of -p**6/60 - p**5/10 - p**4/6 - 6*p**2. Let k(z) = 0. Calculate z.
-2, -1, 0
Let x be 354/2 + (-20)/10. Let j be 2/(-10) + 85/x. Factor 0 + j*o**2 + 0*o.
2*o**2/7
Let n be 1/1*(-3)/(-1 - 0). Suppose -2*i = 3*i. Let o + 3*o**5 - 6*o**3 + i*o**n + 2*o = 0. What is o?
-1, 0, 1
Let o(g) = 8 - 4 + 9 + g. Let j be o(-13). Determine m, given that 12/5 + j*m + 3/5*m**3 - 9/5*m**2 = 0.
-1, 2
Let z(t) be the second derivative of t**4/18 - 4*t**3/9 + 4*t**2/3 - 8*t. Solve z(y) = 0 for y.
2
Suppose -4*w - 3*w + 14 = 0. Let z(s) be the second derivative of -3/20*s**5 + 1/2*s**3 - 1/3*s**4 - 1/4*s**w + 3/20*s**6 - 3*s + 0. What is c in z(c) = 0?
-1, 1/3, 1
Let g(s) be the third derivative of 0 + 1/2*s**4 + 1/5*s**5 - 3/40*s**6 + 3*s**2 - 1/35*s**7 + 1/112*s**8 + 0*s**3 + 0*s. Determine z so that g(z) = 0.
-1, 0, 2
Let v(p) be the first derivative of 7*p**7/300 - 7*p**6/100 + p**5/20 - p**4/60 + 2*p**3/3 + 6. Let o(f) be the third derivative of v(f). Factor o(d).
2*(d - 1)*(7*d - 1)**2/5
Factor -44*q**2 - 24*q + 12*q**3 - 9 + 18 + 20 + 3.
4*(q - 4)*(q + 1)*(3*q - 2)
Let t = 1 - -3. Factor -l**3 + l**t + 2*l**3 - l**3.
l**4
Let a(r) be the first derivative of -7*r**4/4 + 23*r**3/3 + 11*r**2 - 8*r - 15. Find m such that a(m) = 0.
-1, 2/7, 4
Suppose -2*i + j + 2*j = 15, -i - 3*j = -15. Let c(t) be the first derivative of -1/12*t**3 + i*t**2 + 1/4*t + 2. Let c(f) = 0. Calculate f.
-1, 1
Suppose 0*q = -5*q + 20, 3*f - 4*q = -37. Let r(i) = 4*i**2 - 8*i + 4. Let b(v) = 2*v**2 - 4*v + 2. Let z(u) = f*b(u) + 4*r(u). Factor z(o).
2*(o - 1)**2
Suppose 0 = 6*a - 97 - 119. Let j = 36 - a. Suppose x**2 + 1/2*x**3 + 1/2*x + j = 0. Calculate x.
-1, 0
Let b(j) be the third derivative of 0 + 1/12*j**4 + 1/20*j**5 + 0*j**3 + 6*j**2 + 0*j - 1/70*j**7 + 5/336*j**8 - 7/120*j**6. Factor b(d).
d*(d - 1)**2*(d + 1)*(5*d + 2)
Let z(w) = -w**3 - 9*w**2 + 9*w - 6. Let a be z(-10). Factor -3*q + 5*q**2 - 4*q + a + q - 3*q**2.
2*(q - 2)*(q - 1)
Let c be (-12)/30 - (-116)/90. Let w = 8 + -6. Factor c*p**w + 8/9*p + 2/9.
2*(2*p + 1)**2/9
Let f be 1/20*4/18. Let u(t) be the third derivative of -1/30*t**6 - 1/18*t**3 + f*t**5 - 1/70*t**7 + 0 + 1/18*t**4 + t**2 + 0*t. Suppose u(x) = 0. What is x?
-1, 1/3
Factor 0*n**2 + 0 - 1/5*n**4 + 0*n + 1/5*n**3.
-n**3*(n - 1)/5
Let j(p) be the first derivative of 9/14*p**6 + 3/7*p**4 + 0*p**3 - 36/35*p**5 + 0*p**2 + 0*p - 7. Factor j(c).
3*c**3*(3*c - 2)**2/7
Let z(k) = k**5 - 2*k**4 - k**3 + 2*k**2 - 9*k. Let q(m) = -m. Let d(g) = -18*q(g) + 2*z(g). Suppose d(w) = 0. What is w?
-1, 0, 1, 2
Suppose -4*l = l - 25. Determine p so that -p - p**3 + 2*p**l - 7/2*p**4 - 1/2 + 4*p**2 = 0.
-1, -1/4, 1
Let h(f) be the second derivative of -5*f**4/12 + 25*f**3/6 - 10*f**2 + 62*f + 1. Factor h(y).
-5*(y - 4)*(y - 1)
Let x(u) be the first derivative of u**8/840 - u**7/420 - u**6/90 + u**3/3 + 6. Let c(l) be the third derivative of x(l). Determine q so that c(q) = 0.
-1, 0, 2
Suppose -2 = 4*w - 14. Factor 4 + y**4 - 4 - w - 2*y**2 + 4.
(y - 1)**2*(y + 1)**2
Let q(n) be the third derivative of -n**5/15 - 4*n**2. Suppose q(r) = 0. What is r?
0
Let u(y) be the third derivative of 0*y**6 + 0 + 0*y - 1/120*y**5 + 1/840*y**7 - 4*y**2 + 1/24*y**3 + 0*y**4. Find t, given that u(t) = 0.
-1, 1
Let i(z) be the second derivative of -4*z**7/21 - 13*z**6/15 - 3*z**5/2 - 7*z**4/6 - z**3/3 + 12*z. Factor i(u).
-2*u*(u + 1)**3*(4*u + 1)
Let h(u) be the second derivative of -5*u + 0*u**2 + u**3 - 1/14*u**7 - 3/4*u**4 + 3/10*u**6 + 0 - 3/20*u**5. Suppose h(q) = 0. Calculate q.
-1, 0, 1, 2
What is g in 0 + 2*g**3 - 10/9*g**4 + 4/9*g - 14/9*g**2 + 2/9*g**5 = 0?
0, 1, 2
Let r(f) = -29*f**2 + 12*f + 7. Let q(m) = 10*m**2 - 4*m - 2. Let o(w) = 17*q(w) + 6*r(w). Factor o(x).
-4*(x - 2)*(x + 1)
Let i(n) be the third derivative of -n**9/75600 + n**8/12600 - n**7/6300 + n**5/60 + 7*n**2. Let o(r) be the third derivative of i(r). Factor o(u).
-4*u*(u - 1)**2/5
Let c = -19 - -67. Solve -4 + 35 - 12 + 21*w**2 + c*w - 7 = 0.
-2, -2/7
Let g(v) be the second derivative of -3*v + 0 - 1/3*v**4 + 2*v**2 - 1/10*v**5 + 1/3*v**3. Find z, given that g(z) = 0.
-2, -1, 1
Let y be 0 + 0 - (-4 - (-16)/6). Factor 2/3*d + 2/3*d**2 - y.
2*(d - 1)*(d + 2)/3
Let l(f) = -10*f**2 + 9*f - 9. Let j(d) = d**2 - d + 1. Suppose c = -4*c + 90. Let g be (-2)/6*0 + c. Let h(s) = g*j(s) + 2*l(s). Determine p so that h(p) = 0.
0
Let y(b) be the second derivative of b**6/900 - b**5/100 + b**4/30 - b**3/6 + 3*b. Let s(i) be the second derivative of y(i). Factor s(f).
2*(f - 2)*(f - 1)/5
Suppose -16 = -z - 3*z. Factor 3*c**4 + 3*c - 5*c**3 + 2*c**2 - 5*c**z - c + 3*c**3.
-2*c*(c - 1)*(c + 1)**2
Suppose -3*q + 3*p = -14 - 13, 2*q - 3*p - 23 = 0. Factor -6*x**3 - q + 7*x**3 - 3*x**2 + 2*x + 4.
x*(x - 2)*(x - 1)
Let k = -306/5 + 66. What is f in k*f + 18/5*f**2 + 8/5 = 0?
-2/3
Let a(f) be the second derivative of -f**4/36 + f**3/9 - 3*f. What is n in a(n) = 0?
0, 2
Suppose o - 4*d - 22 = -4, 3*d = 4*o - 20. Suppose f = -v - 0*v - 1, 3*v = -12. What is h in 0*h + 2/5*h**f - 2/5*h**o + 0 = 0?
0, 1
Let f(v) = -v + 2. Let g be f(3). Let q be g + 1 + (-4)/(-16). Factor -3*k - 2 - 3/2*k**2 - q*k**3.
-(k + 2)**3/4
Let a(i) be the t