8*x(f). Factor t(w).
2*w*(w + 1)**2
Let v be 2/(-3) + (-5 - (-32)/3). Suppose -2*m + 8 = -2*n, -v*n = -6*m + 7*m + 2. Determine o so that 9/5*o**4 + 0 - 2/5*o - 9/5*o**2 - o**m + 7/5*o**5 = 0.
-1, -2/7, 0, 1
Let w(p) = -p**3 + 4*p**2 + 6*p + 5. Let j be w(-2). What is l in 3*l**2 - j*l**4 + 16*l**4 + l + l = 0?
-1, 0, 2
Let l(a) be the first derivative of -8*a**2 + 8/3*a + 56/15*a**5 + 26/9*a**3 + 17 + 23/2*a**4. Find m, given that l(m) = 0.
-2, -1, 1/4, 2/7
Let c(q) = 130*q**4 - 335*q**3 + 45*q**2 + 400*q - 80. Let k(b) = 33*b**4 - 84*b**3 + 11*b**2 + 100*b - 20. Let v(f) = 4*c(f) - 15*k(f). Factor v(o).
5*(o - 2)**2*(o + 1)*(5*o - 1)
Factor 388*o + 28*o + 181*o + 13005 - 87*o + 5*o**2.
5*(o + 51)**2
Let m be (-8)/14*(-18)/24. Find j such that 3/7*j**3 - m*j - 18/7*j**4 + 0 + 18/7*j**2 = 0.
-1, 0, 1/6, 1
Let d(z) be the first derivative of 3/20*z**5 + 6*z**2 + 5/4*z**4 + 4*z**3 + 5 + 8*z. Let x(i) be the first derivative of d(i). Solve x(f) = 0 for f.
-2, -1
Let c(r) = -8*r**3 + 3*r**2 + 2*r + 3. Let n be c(-2). Determine g so that 630*g**4 - 10 - 59*g**2 + 285*g**3 - 30*g**2 - 21*g**2 - n*g = 0.
-1/3, -2/7, 1/2
Let m(s) be the first derivative of s**5/15 - s**4/3 + s**3/9 + s**2 + 22. Suppose m(u) = 0. What is u?
-1, 0, 2, 3
Let w(x) be the second derivative of 5*x**4/4 + 85*x**3/18 - 5*x**2/3 + 14*x - 10. Factor w(i).
5*(i + 2)*(9*i - 1)/3
Suppose -184 = 4*f - 576. Let j = 493/5 - f. Solve -3/5*y**2 - j*y**3 + 3/5 + 3/5*y = 0.
-1, 1
Let s(o) = -16*o - 206. Let b be s(-13). What is u in 0*u**3 + 0*u + 3/2*u**4 - 3/2*u**b + 0 = 0?
-1, 0, 1
Let a(n) be the second derivative of n**4/8 - n**3/4 - 9*n**2 + 125*n. Find k such that a(k) = 0.
-3, 4
Let t be (-1)/((-23)/8 + (0 - -3)). Let o be 0 + 2 - (-8 - t). Suppose 0 - 4/7*h - 2/7*h**o = 0. What is h?
-2, 0
Let t = 6414 - 6411. Find w, given that -73/4*w**4 - 5*w**5 + 0 - 8*w**2 - 81/4*w**t - w = 0.
-2, -1, -2/5, -1/4, 0
Find i such that 0 - 12/5*i - 3*i**2 + 3*i**4 + 3/5*i**5 + 9/5*i**3 = 0.
-4, -1, 0, 1
Let x(z) be the first derivative of 3*z**4/8 + 4*z**3 - 69*z**2/4 - 45*z + 379. Determine r, given that x(r) = 0.
-10, -1, 3
Let v(i) be the second derivative of i**4/4 - 187*i**3 + 104907*i**2/2 + 48*i + 2. Factor v(y).
3*(y - 187)**2
Let u(a) be the first derivative of -2 - 1/28*a**4 + 0*a - 1/210*a**5 - 2/21*a**3 - 5/2*a**2. Let o(z) be the second derivative of u(z). Factor o(s).
-2*(s + 1)*(s + 2)/7
Suppose -14*u - 5077 = 5171. Let i = -3644/5 - u. Suppose -2/5*g**2 - i*g - 32/5 = 0. What is g?
-4
Let b(s) be the third derivative of s**6/900 + 29*s**5/450 + 56*s**4/45 + 196*s**3/45 - 92*s**2 - 3*s. Factor b(y).
2*(y + 1)*(y + 14)**2/15
Let q(c) = c**2 + 28*c + 29. Let x(m) = -3*m - 1. Let r(d) = -3*q(d) + 3*x(d). Factor r(z).
-3*(z + 1)*(z + 30)
Let o(y) be the third derivative of -1/105*y**6 - 4/105*y**5 + 13*y**2 + 0*y + 4/735*y**7 + 1/588*y**8 + 0 + 1/42*y**4 + 4/21*y**3. Let o(n) = 0. Calculate n.
-2, -1, 1
Let s = -41 + 64. Let j be 2/21*(s - 16). Factor 2/3*g**2 - j*g + 0.
2*g*(g - 1)/3
Let r(m) be the third derivative of m**8/336 - 11*m**7/210 - 5*m**6/24 - 13*m**5/60 + 28*m**2 - 11. Factor r(a).
a**2*(a - 13)*(a + 1)**2
Let f(x) be the second derivative of -x**4/8 + 3*x**3 + 39*x**2/4 - 500*x. Factor f(y).
-3*(y - 13)*(y + 1)/2
Suppose h**2 + 3*h**2 + 248 - 58*h + 105*h + 85*h = 0. What is h?
-31, -2
Let a = -1732869/524 - -3307. Let u = a + 1059/5764. Find t, given that 0 + 6/11*t**2 + 4/11*t + 0*t**3 - u*t**4 = 0.
-1, 0, 2
Factor 80/7 + 4/7*u**2 + 48/7*u.
4*(u + 2)*(u + 10)/7
Let w(t) be the first derivative of -t**6/60 + t**4/12 + 31*t**2/2 - 7. Let g(x) be the second derivative of w(x). Factor g(d).
-2*d*(d - 1)*(d + 1)
Factor 3/2*i**4 + 0 - 21*i - 15*i**3 + 69/2*i**2.
3*i*(i - 7)*(i - 2)*(i - 1)/2
Let j(p) be the second derivative of -p**5/100 - 17*p**4/60 - 28*p**3/15 - 26*p**2/5 - 13*p + 4. Factor j(v).
-(v + 2)**2*(v + 13)/5
Let x = -41 - -73. Let d be (x/(-80))/((-2)/10). Suppose -2/9*a**3 + 0*a**d + 2/3*a - 4/9 = 0. Calculate a.
-2, 1
Let s = 17 + -21. Let k = -2 - s. Factor 3*y**3 - 3*y + 0*y**k + 7*y**2 - y**4 - y**2 - 5*y**4.
-3*y*(y - 1)*(y + 1)*(2*y - 1)
Factor 4/5*v**3 + 12/5*v**2 + 0*v - 16/5.
4*(v - 1)*(v + 2)**2/5
Let i(h) be the second derivative of h**7/15120 - h**6/432 + 5*h**5/144 - h**4/4 - 15*h. Let p(k) be the third derivative of i(k). Factor p(f).
(f - 5)**2/6
Let d = -42 + 48. Let t be 3/2*(5 + (-22)/d). Factor 0 - 2/5*n**t - 4/5*n.
-2*n*(n + 2)/5
Let l = -13019 - -13021. Determine t so that 1/2*t**3 - 1/6*t + 0 - 1/3*t**l = 0.
-1/3, 0, 1
Let r(q) be the third derivative of 1/300*q**6 + 2/5*q**4 + q**2 + 11/150*q**5 + 0*q + 25 - 12/5*q**3. Let r(n) = 0. What is n?
-6, 1
Let s(v) be the second derivative of v**5/80 - v**4/24 - v**3 - 68*v. Factor s(n).
n*(n - 6)*(n + 4)/4
Solve 42/13 + 2/13*k**2 - 44/13*k = 0.
1, 21
Suppose -159*d - 169 + 262 = -225. Find i, given that -2/5*i**d - 8/5 - 2*i = 0.
-4, -1
Let q(v) be the third derivative of 17*v**2 + 1/180*v**5 + 0*v + 0 + 0*v**3 - 1/72*v**4. Let q(a) = 0. Calculate a.
0, 1
Let r(n) be the second derivative of -2*n**3/3 - 4*n. Let f be r(-1). Find m such that -15*m**2 + 6*m**3 + 11*m**4 - 2*m**4 + 6*m**f - 6*m = 0.
-1, -2/5, 0, 1
Let a(f) = f**2 + 7*f + 4. Let c be a(-7). Let x be (c/(-6))/((-2)/9). Suppose 8*u**4 - u**3 - 9*u**3 + 5*u**2 + x*u**2 - 6*u**2 = 0. What is u?
0, 1/4, 1
Let w(g) be the second derivative of -3*g**5/40 - g**4/4 + 2*g**3 - 19*g + 5. Find f such that w(f) = 0.
-4, 0, 2
Let k(j) = j**3 + 9*j**2 + 10*j + 18. Let s be k(-8). Let z be s/3 + (39/(-18) - -2). Let g**2 - 1/2*g**4 - z*g**5 + g**3 - 1/2*g - 1/2 = 0. What is g?
-1, 1
Factor 1/3*l**2 + 14/3 + 3*l.
(l + 2)*(l + 7)/3
Let q(x) = -4*x**2 - 10*x + 8. Let r(m) = -9*m**2 - 21*m + 15. Let l(n) = -10*q(n) + 4*r(n). Factor l(z).
4*(z - 1)*(z + 5)
Suppose -30*r = 22*r - 208. Factor -2/5*w**5 + 4/5*w**3 + 4/5*w**r - 4/5 - 16/5*w**2 + 14/5*w.
-2*(w - 1)**4*(w + 2)/5
Let l = 53/137 - -31/274. Factor 0 + l*g + 4/3*g**2.
g*(8*g + 3)/6
Suppose -2*z + 16 = -4*d, 2*d + 6 = -2. Let c be 6 + -7 - (-3 + z). Suppose 5*a**4 + 11*a**2 - 25*a**2 + 14*a**c + 5*a**3 = 0. Calculate a.
-1, 0
Let u = -1404 + 1404. Let w(n) be the third derivative of -1/30*n**5 + 0*n**4 + 1/15*n**6 + 1/84*n**8 + 0*n**3 + 0 - 1/21*n**7 + u*n + 4*n**2. Factor w(r).
2*r**2*(r - 1)**2*(2*r - 1)
Suppose -44 = -2*y - 0*y + 4*i, 4*i + 20 = 0. Suppose -2*u = y*u - 28. Factor -3/4*g**u + 0*g - 3/4*g**4 + 0 - 3/2*g**3.
-3*g**2*(g + 1)**2/4
Let r be (-13 - 682/(-55)) + 38/30. Determine p, given that 4*p**3 + r*p + 8/3*p**4 + 0 + 8/3*p**2 + 2/3*p**5 = 0.
-1, 0
Suppose -1/3*n**3 - 28*n - 80/3 - 8*n**2 = 0. What is n?
-20, -2
Let b be 1 + -7 + -12 + 18. Let a(q) be the third derivative of b*q**4 + 0 + 1/150*q**5 + 0*q - 4*q**2 + 0*q**3. Factor a(k).
2*k**2/5
Suppose -a + 31 = 3*d, -2*a + 3*d = -0*d - 44. Find u, given that -u**5 - a*u**4 - u**5 + 23*u**4 = 0.
-1, 0
Let l(y) be the second derivative of -3*y**5/20 + 11*y**4/2 + 47*y**3/2 + 36*y**2 + y + 26. Factor l(n).
-3*(n - 24)*(n + 1)**2
Suppose -28 = -4*j + 4*r, -7 = -5*j - 0*r - 2*r. Suppose 0*k + 0 - 1/7*k**4 + 6/7*k**j - 8/7*k**2 = 0. What is k?
0, 2, 4
Let c(d) be the first derivative of 1/6*d**4 + 5/3*d**2 - 4/3*d - 14 - 8/9*d**3. Factor c(j).
2*(j - 2)*(j - 1)**2/3
Suppose 4*b = 3*b - 2, -r - 2*b - 9 = 0. Let t be (-1)/2*4 - r. Suppose 8/3*z - 2/3 - 4*z**2 + 8/3*z**t - 2/3*z**4 = 0. Calculate z.
1
Let x(f) be the third derivative of -8*f**6/45 - 152*f**5/45 - 67*f**4/6 - 16*f**3 - 32*f**2. Let x(n) = 0. What is n?
-8, -3/4
Let y(z) = 74*z + 2072. Let g be y(-28). Factor 0*k + g*k**3 - 3/7 - 3/7*k**4 + 6/7*k**2.
-3*(k - 1)**2*(k + 1)**2/7
Let w(z) be the first derivative of z**4/8 - 265*z**3/18 + 22*z**2/3 - 921. Solve w(g) = 0 for g.
0, 1/3, 88
Let h(c) be the first derivative of -c**6/3 + 2*c**5 - 2*c**4 - 32*c**3/3 + 32*c**2 - 32*c - 390. Factor h(t).
-2*(t - 2)**3*(t - 1)*(t + 2)
Suppose -5 + 11 = 2*w. Find l such that 6*l - 39*l**2 - 18*l**w - 12 + 0*l**4 - 42*l - 3*l**4 = 0.
-2, -1
Let u(s) be the second derivative of 0*s**3 + 1/4*s**5 - 10*s**2 + 0 + 5/4*s**4 - 16*s. Factor u(z).
5*(z - 1)*(z + 2)**2
Let y(m) be the second derivative of m**8/2520 - m**7/315 + m**6/108 - m**5/90 - 8*m**3/3 - 11*m. Let i(r) be the second d