ctor n*o**2 + 0 + 0*o - 2/5*o**j.
-2*o**3/5
Let a(u) be the first derivative of -u**4/10 + 46*u**3/3 - 3248*u**2/5 - 6728*u/5 + 84. Factor a(h).
-2*(h - 58)**2*(h + 1)/5
Let g(o) be the second derivative of -o**7/28 - 7*o**6/60 - o**5/8 - o**4/24 - 474*o. Suppose g(n) = 0. What is n?
-1, -1/3, 0
Factor -42*b - 73*b - 1587 - 23*b - 121*b**2 + 118*b**2.
-3*(b + 23)**2
Let a(u) = 11*u**5 + 2*u**4 + 28*u**3 - 2*u**2 + 13*u + 26. Let c(z) = -5*z**5 - z**4 - 13*z**3 + z**2 - 6*z - 12. Let i(r) = -6*a(r) - 13*c(r). Factor i(n).
-n**2*(n - 1)**2*(n + 1)
Let f be (4/(-27))/(133/57 + -3). Factor -4/9 + f*v + 2/9*v**2.
2*(v - 1)*(v + 2)/9
Let j(d) = d**3 - 4*d**2 + 34*d + 15. Let f(t) = -t**3 + 9*t**2 - 35*t - 13. Let a(i) = -3*f(i) - 4*j(i). Factor a(g).
-(g + 1)*(g + 3)*(g + 7)
Factor -6/5 + 16/15*r + 2/15*r**2.
2*(r - 1)*(r + 9)/15
Let g(z) be the first derivative of -14/15*z**3 + 0*z**2 + 8/5*z + 26 - 1/15*z**6 + 6/25*z**5 + 1/10*z**4. Let g(q) = 0. Calculate q.
-1, 1, 2
Let o(i) be the second derivative of i**4/48 + 14*i**3/3 + 392*i**2 - 212*i. Factor o(w).
(w + 56)**2/4
Factor -85290*d + 11*d**2 + 45 + 2*d**3 + 85251*d - d**3 - 2*d**3.
-(d - 5)*(d - 3)**2
Let z be ((-24)/1860)/(4/(-1399)). Let d = z + -2/155. Factor 27/4 - d*t + 3/4*t**2.
3*(t - 3)**2/4
Factor -48 - 49*l**2 + 28*l**2 + 20*l**2 + 12*l + 8 + 17*l**2.
4*(l + 2)*(4*l - 5)
Let c(d) be the first derivative of d**7/1680 - d**6/360 + 2*d**3 - d**2/2 - 22. Let q(t) be the third derivative of c(t). Solve q(l) = 0.
0, 2
Factor 69/4 - 3/4*f**2 - 103/2*f.
-(f + 69)*(3*f - 1)/4
Suppose 12 = 4*d - 4*x, 3*x = d + 6 - 5. Let f(b) be the third derivative of 14*b**2 - 1/210*b**d - 1/84*b**4 + 0 + 0*b + 0*b**3. Find n such that f(n) = 0.
-1, 0
Let u(i) be the second derivative of -4*i**6/75 - 3*i**5/10 - 8*i**4/15 - i**3/5 + 2*i**2/5 - 10*i. What is t in u(t) = 0?
-2, -1, 1/4
Let t(g) = 2*g**2 + 9*g + 18. Let z be t(7). Let p = z - 176. Suppose 8/9 + 50/3*k**2 + 20/3*k + 125/9*k**p = 0. What is k?
-2/5
Let w(x) be the first derivative of x**3 - 15*x**2/2 - 18*x + 1. Factor w(u).
3*(u - 6)*(u + 1)
Let g(x) be the first derivative of 11 - 5/3*x**3 + 0*x**2 + 5/4*x**4 + 0*x. Factor g(y).
5*y**2*(y - 1)
Solve -1/5*j**3 + 0 - 27/5*j**2 + 0*j = 0.
-27, 0
Let o(n) be the second derivative of n**6/30 - n**5/10 - n**4/12 + n**3/3 + 24*n + 11. Factor o(w).
w*(w - 2)*(w - 1)*(w + 1)
Suppose c + v = -3 - 9, 23 = -2*c - 3*v. Let m = c - -21. Find w, given that 2*w**3 + 8*w**4 + 12*w - 10*w - 4*w**3 - m*w**2 = 0.
-1, 0, 1/4, 1
Let n(u) = 2*u**2 + 10*u + 5. Let t be 96/40 + 6/10. Let p(z) = 1. Let w(f) = t*p(f) + n(f). Factor w(x).
2*(x + 1)*(x + 4)
Let o(z) = -22*z**2 - 37*z. Let l(m) = -15*m**2 - 25*m. Let t(g) = 8*l(g) - 5*o(g). Let t(h) = 0. What is h?
-3/2, 0
Let x(l) = -2*l**2 + 2*l - 8. Let m = -4 + 6. Let z(o) = 0 - 5*o**2 + 2*o + m*o - 17 + 0. Let g(w) = 9*x(w) - 4*z(w). Determine i, given that g(i) = 0.
-2, 1
Let v = 14449/3249 + -1/361. Factor -4*o**3 - 14/9*o**4 - 16/9*o - v*o**2 - 2/9*o**5 + 0.
-2*o*(o + 1)*(o + 2)**3/9
Let p(j) be the third derivative of j**6/72 + 2*j**5/3 + 40*j**4/3 - 19*j**3/6 + 9*j**2. Let b(k) be the first derivative of p(k). Factor b(d).
5*(d + 8)**2
Suppose 2*g - 14 = -u, -3*u + 2*g = -12 + 2. Solve -2*i**4 - 2*i**3 - u*i**2 - 2*i**2 - 8*i**3 = 0 for i.
-4, -1, 0
Let p(x) be the first derivative of -1/2*x**2 + 1/210*x**5 + 6 + 0*x - 1/21*x**4 + 1/7*x**3. Let r(u) be the second derivative of p(u). Factor r(g).
2*(g - 3)*(g - 1)/7
Factor -17 + 15*n**2 + 49*n**2 - 5 - 42 + 2*n**3 - 2*n.
2*(n - 1)*(n + 1)*(n + 32)
Suppose 0 = -259*z + 254*z - 90. Let w be z/(-8)*2/10*10. Find q such that -3/4*q**2 + w*q - 27/4 = 0.
3
Let f(n) be the third derivative of n**9/12096 + n**8/4032 - 3*n**5/20 - 21*n**2. Let t(u) be the third derivative of f(u). Factor t(m).
5*m**2*(m + 1)
Suppose 0*j + j - 5 = 0. Factor -4*y**3 + 220*y**5 + 2*y - 111*y**j - 107*y**5.
2*y*(y - 1)**2*(y + 1)**2
Let f(i) = 16*i**3 - 47*i**2 - 36*i + 167. Let y(a) = -5*a**3 + 16*a**2 + 12*a - 58. Let w(n) = 2*f(n) + 7*y(n). Factor w(u).
-3*(u - 6)*(u - 2)*(u + 2)
Suppose -8*m = -11*m. Let v(f) be the second derivative of m*f**3 + 1/16*f**4 + 0 - f - 3/8*f**2. Suppose v(d) = 0. Calculate d.
-1, 1
Let j = -7 - -13. Let k be -1 + (-4)/j - -2. Find t such that k*t + 0 - 4/3*t**2 = 0.
0, 1/4
Let c(q) be the first derivative of -q**6/18 + 37*q**5/15 - 283*q**4/12 - 1081*q**3/9 - 580*q**2/3 - 400*q/3 + 55. Suppose c(u) = 0. What is u?
-1, 20
Let r = 324/11 - 11142/385. Let n(t) be the first derivative of -r*t**5 + 0*t - 4/21*t**6 - 3/7*t**4 - 2/21*t**3 + 4 + 0*t**2. What is z in n(z) = 0?
-1, -1/4, 0
Let k(h) = 14*h**2 - 5*h - 13. Let u(m) = 4*m**2 + m - 1. Let v(t) = -k(t) + 3*u(t). Factor v(s).
-2*(s - 5)*(s + 1)
Let u(l) = 5*l**2 - 28*l - 121. Let m(s) = s**2 - s. Let v(b) = -6*m(b) + u(b). Factor v(g).
-(g + 11)**2
Let -1/9*t**2 + 0 + 4/9*t**3 - 4/9*t + 1/9*t**4 = 0. What is t?
-4, -1, 0, 1
Suppose -2*t - 21 + 111 = 0. Let c = 47 - t. Factor 24/5*y**c + 96/5*y + 128/5 + 2/5*y**3.
2*(y + 4)**3/5
Let g(t) = 8*t**5 + 16*t**4 - 12*t**2 - 12*t - 12. Let v(k) = -k**5 + k**4 + k**2 + k + 1. Let d(f) = g(f) + 12*v(f). What is s in d(s) = 0?
0, 7
Suppose 11*z - 21*z = 13*z. Find t, given that 1/5*t**5 - 2/5*t**4 + 2/5*t**2 + 0 + z*t - 1/5*t**3 = 0.
-1, 0, 1, 2
Let h(x) = x**2 - 3*x - 1. Let u(w) = 2*w**2 + 1. Let y(f) = -4*h(f) + 4*u(f). Factor y(t).
4*(t + 1)*(t + 2)
Let f be (5025/525 - 10)/((2/(-1))/2). Find m, given that f*m**2 + 3/7*m - 6/7 = 0.
-2, 1
Let f(r) = -6*r - 56. Let q be f(-11). Let j be ((-12)/4 + 7)*1/q. Solve 2/5*w**3 - 2/5*w**2 - 2/5*w + 0 + j*w**4 = 0.
-1, 0, 1
Solve -164*p**3 + 52*p**2 + 75*p**5 - 32*p**5 + 742*p + 35*p**4 + 490 - 45*p**5 - p**4 = 0.
-1, 5, 7
Let g = -315/13 - -207913/8580. Let l(h) be the third derivative of 0*h + 0*h**3 + 0*h**5 + 0 + 5*h**2 + 0*h**4 + g*h**6 - 1/1155*h**7. Factor l(j).
-2*j**3*(j - 1)/11
Let d = -2 - -4. Suppose 0 = -q + 3 + 3. Find u such that 19*u**3 - 16*u**3 - q*u**d + 6*u**4 - 3*u**4 = 0.
-2, 0, 1
Suppose 0 = -2*j + 4 + 6. Let f be ((-4)/6)/((-12)/(-90)) - -8. What is l in -9/2*l**j + 0*l - 6*l**4 - 3/2*l**f + 0 + 0*l**2 = 0?
-1, -1/3, 0
Find w such that -39*w**4 + 20*w**4 + 41*w - 36*w**2 - 4*w**4 + 25*w**4 - 30 + 23*w = 0.
-5, 1, 3
Let x(s) = 16*s - 36. Let w(g) = -31*g + 73. Let v(y) = 2*w(y) + 5*x(y). Let h(n) = -n**2 - 19*n + 35. Let z(q) = 2*h(q) + 3*v(q). Factor z(j).
-2*(j - 4)**2
Let p(y) = 30*y**3 - 47*y**2 + 239*y - 183. Let w(g) = -7*g**3 + 12*g**2 - 60*g + 46. Let j(u) = 6*p(u) + 26*w(u). What is n in j(n) = 0?
1, 7
Suppose 4*j - 5*l - 158 = -0*j, 2*l = 3*j - 115. Find y, given that -17*y + 6*y**5 - 39*y + 68*y**4 + j*y**3 - 84*y**2 + 12*y**5 + 16 + y**3 = 0.
-2, -1, 2/9, 1
Let v be 6/112*-2 - (600/32)/(-15). Let -v - 6/7*a**3 + 2/7*a**2 + 24/7*a = 0. Calculate a.
-2, 1/3, 2
Let v = -541 + 547. Let f(b) be the third derivative of 0*b**3 + 0 - 3*b**2 + 1/180*b**4 + 0*b**5 + 0*b - 1/900*b**v. Let f(x) = 0. What is x?
-1, 0, 1
Let s be (42/57)/2*(76/(-14))/(-19). Suppose 2/19*w**4 + 0 + 2/19*w**5 - s*w**2 - 6/19*w**3 + 4/19*w = 0. Calculate w.
-2, -1, 0, 1
Let q(t) = -t**2 - 13*t + 48. Let h be q(-16). Let o(n) be the third derivative of 1/84*n**4 + 1/210*n**5 - 2*n**2 + 0*n**3 + 0 + h*n. Factor o(u).
2*u*(u + 1)/7
Factor -8/9*m**4 + 64680*m + 16464 + 1006/9*m**3 - 4676*m**2.
-2*(m - 42)**3*(4*m + 1)/9
Suppose 9*a = 5*a + 28. Factor -36 - 5*v**2 - v**3 + 70 - 37 - a*v.
-(v + 1)**2*(v + 3)
Let l be (-1)/(-5) - 7/((-525)/8860). Let y = l + -117. Determine j so that -20/9*j**3 + 0 + 8/9*j - y*j**2 = 0.
-1, 0, 2/5
Let p(u) be the second derivative of -u**5/24 - 35*u**4/72 - 25*u**3/18 + 75*u. Solve p(a) = 0.
-5, -2, 0
Find j such that 0 - 3/5*j**3 - 24/5*j**2 - 48/5*j = 0.
-4, 0
Suppose 0 = 3*y + 9, 0*a - 3*y = -2*a + 9. Let w be (1 + a/(-6))*(-4)/(-10). Suppose -2/5*k + w*k**2 + 0 = 0. What is k?
0, 1
Let -12 + 1/5*t**2 - 11/5*t = 0. Calculate t.
-4, 15
Suppose 2*q = 4*n - 8, -2*q + 2*n = -0*q + 2. Suppose -5*z + 21 = -2*z + 3*a, -4*a + 4 = -q*z. Factor 14*m**4 + 3 - z + 8*m - 24*m**2 + 1 - 18*m**3.
2*m*(m - 2)*(m + 1)*(7*m - 2)
Let t(n) be the second derivative of -n**10/211680 + n**9/35280 - 17*n**4/12 + 7*n. Let v(u) be the third derivative of t(u). Let v(o) 