 l = -134 + 139. Let n be (1 + (-78)/30)/((-26)/l). Determine d so that 2/13*d**3 + 0 - 6/13*d + n*d**2 = 0.
-3, 0, 1
Let m(g) = -5*g**4 - 10*g**3 - 11*g**2 - 6*g. Let o(y) = -y**4 - y**2 - 2*y. Let r(c) = -m(c) + 3*o(c). Factor r(x).
2*x**2*(x + 1)*(x + 4)
Let r(z) = -8*z**2 + 16*z - 50. Let f(w) = w**2 + w - 1. Let p(v) = -6*f(v) - r(v). Factor p(l).
2*(l - 7)*(l - 4)
Suppose 0 = 109*c - 164 + 164. Determine a, given that 0*a + c + 2/15*a**3 + 0*a**2 - 4/15*a**4 - 2/5*a**5 = 0.
-1, 0, 1/3
Suppose -6*g + 18 = -3*g. Let r = -13 + 8. Let h(t) = 8*t**3 - 8*t**2 - 6*t. Let s(b) = 7*b**3 - 7*b**2 - 5*b. Let m(n) = g*s(n) + r*h(n). Factor m(x).
2*x**2*(x - 1)
Suppose -5*u - 2 = -2*h, 2*h - 3*u = -0*u + 6. Suppose -5*k = 2*o + 14, -4*o + 24 = -2*k - k. Suppose 16*n - h - n**2 + o*n**2 + 25 + 13 = 0. Calculate n.
-4
Let p(d) be the first derivative of d**4 + 16*d**3 + 72*d**2 - 184. Solve p(q) = 0 for q.
-6, 0
Suppose -k - 15 - 5 = -5*m, 5*k + 4*m - 45 = 0. Factor -33*h**k + 24*h**4 - 25*h**3 + 28*h**5 - 4*h**4 + 10*h**2.
-5*h**2*(h - 2)*(h - 1)**2
Suppose -3*n**5 - 2*n + 6*n**4 + 115640*n**3 - 6*n**2 - 115637*n**3 + 2*n = 0. What is n?
-1, 0, 1, 2
Let n(a) be the first derivative of -1/18*a**4 - 2/27*a**3 - 12 + 1/9*a**2 + 2/9*a. Factor n(u).
-2*(u - 1)*(u + 1)**2/9
Let z = 541/1030 - 13/515. Factor 1/2*d - 3/2 + 3/2*d**2 - z*d**3.
-(d - 3)*(d - 1)*(d + 1)/2
Let a(t) = -t**3 + 4*t**2 - t - 3. Let y be a(2). Let o(f) = -6*f + 3. Let r(g) = g**2 - g - 1. Let c(s) = y*r(s) + o(s). Factor c(u).
3*u*(u - 3)
Let u = 67/5 - 263/20. Let i(c) be the first derivative of -5 + 1/6*c**3 - u*c**2 - c. Solve i(k) = 0.
-1, 2
Suppose -3/4*r**3 + 27/4 - 45/4*r + 21/4*r**2 = 0. What is r?
1, 3
Let j = -40 - -34. Let y = 6 - j. Find v, given that -y*v**3 + 12*v + 18*v**2 - 9*v**2 - 3*v**2 - 10*v**2 + 4*v**4 = 0.
-1, 0, 1, 3
Let i(n) be the third derivative of -n**10/6048 + n**8/448 + n**7/252 + 3*n**4/4 - 7*n**2. Let l(j) be the second derivative of i(j). Factor l(c).
-5*c**2*(c - 2)*(c + 1)**2
Let k(w) = 4*w**2 - 4. Let a be k(-2). Suppose 13*n - 9*n = a. Suppose 1/5*f**n + 2/5*f**2 + 1/5*f + 0 = 0. Calculate f.
-1, 0
Let g(j) be the first derivative of j**4/18 + 7*j**3/18 - 2*j**2/3 + 10*j - 5. Let n(i) be the first derivative of g(i). Determine b so that n(b) = 0.
-4, 1/2
Let s(y) = -3*y**2 + 7*y - 89. Let u(w) = w**2 - 3*w + 44. Let v(l) = -2*s(l) - 5*u(l). Solve v(k) = 0.
-7, 6
Let j(w) = 11*w**2 - 16*w + 6*w**2 - 8 + 6*w. Let g(z) = 11*z**2 - 7*z - 5. Let l(m) = -8*g(m) + 5*j(m). Determine y so that l(y) = 0.
0, 2
Let n = -2229 + 15630/7. Solve n + 3/7*m**2 + 18/7*m = 0 for m.
-3
Let w be 190/90*2 + -4 + 204/54. Factor 0 + 0*u**2 + 0*u - 1/5*u**3 + 1/5*u**w.
u**3*(u - 1)/5
Suppose 0 = -5*h - 4*s + 2, 5*s - 2 + 8 = -2*h. Factor 427*u**2 - 857*u**h + 427*u**2 + 6*u.
-3*u*(u - 2)
Factor 520*u**2 - 66*u**3 - 114 + 159*u**3 + 397*u - 84*u**3.
(u + 1)*(u + 57)*(9*u - 2)
Factor 5*p + 3*p**2 + 33 + 7*p - 24.
3*(p + 1)*(p + 3)
Let 0 - 1/2*c**2 + 2*c = 0. Calculate c.
0, 4
Let s(i) be the second derivative of 0*i**2 + 9*i - 1/28*i**4 + 0 - 1/7*i**3 + 9/140*i**5. Determine a, given that s(a) = 0.
-2/3, 0, 1
Solve -1/6*u**5 + u**3 - 1 + 1/3*u**4 - 10/3*u**2 + 19/6*u = 0 for u.
-3, 1, 2
Let n(g) = g**3 + 2*g**2 - 23*g + 22. Let m(d) = 2*d**2 - d - 2. Let b(u) = -2*m(u) - n(u). Factor b(c).
-(c - 2)*(c - 1)*(c + 9)
Let p(n) be the second derivative of n**6/120 - 19*n**5/40 + 361*n**4/48 - 114*n. Factor p(x).
x**2*(x - 19)**2/4
Let h be 4/6 + (-17 - -19) + 0. Factor 4/3*m + 2*m**2 - 1/3*m**3 - h - 1/3*m**4.
-(m - 2)*(m - 1)*(m + 2)**2/3
Suppose 2980 - 13*h**2 + 4*h**2 + 47*h - 2990 = 0. What is h?
2/9, 5
Let z(g) = -g**2 - 9*g + 6. Let v(y) = -3*y**2 - 19*y + 15. Let n(b) = -2*v(b) + 5*z(b). Solve n(w) = 0 for w.
0, 7
Let b(f) be the second derivative of -49/30*f**4 + 31*f - 28/15*f**3 - 4/5*f**2 + 0. Factor b(g).
-2*(7*g + 2)**2/5
Let c be -3*(0 + 16/(-12)). Suppose -4*s - c = -6*s. Factor -6*l - 2*l**2 + 2*l**s - 3*l**2 - 3.
-3*(l + 1)**2
Let w(m) be the third derivative of m**5/120 + 3*m**4/8 + 167*m**2. Solve w(k) = 0 for k.
-18, 0
Let v(b) be the second derivative of -b**5/70 + 8*b**4/21 - 41*b**3/21 + 26*b**2/7 - b + 40. Factor v(n).
-2*(n - 13)*(n - 2)*(n - 1)/7
Solve 8/3*o**4 + 0*o**2 + 2/9*o**5 + 0 + 0*o**3 + 0*o = 0 for o.
-12, 0
Let a(o) be the second derivative of -4*o + 1/70*o**7 + 13/10*o**3 + 27/50*o**5 - 7/50*o**6 - 9/10*o**2 - 11/10*o**4 + 0. Let a(j) = 0. Calculate j.
1, 3
Let a(b) be the first derivative of 4/3*b**3 - 25 - 48*b - 22*b**2. Find o, given that a(o) = 0.
-1, 12
Let f(p) = 2*p**3 + 70*p**2 - 75*p + 6. Let k(g) = -7*g**3 - 210*g**2 + 225*g - 16. Let s(u) = 8*f(u) + 3*k(u). Find a such that s(a) = 0.
-15, 0, 1
Let n(v) be the second derivative of -v**7/504 + v**6/144 + 13*v**4/12 + 13*v. Let x(r) be the third derivative of n(r). Factor x(g).
-5*g*(g - 1)
Let u(i) be the second derivative of 5/3*i**4 + 4/3*i**3 + 3/5*i**5 + 8*i + 0 + 0*i**2. Let u(z) = 0. What is z?
-1, -2/3, 0
Let t**2 - 4*t**2 - 510*t + t**2 - 5 + 458*t - 45 = 0. Calculate t.
-25, -1
Let j(a) be the first derivative of a**8/2016 + a**7/420 + a**6/540 + 26*a**3/3 - 10. Let m(q) be the third derivative of j(q). Factor m(n).
n**2*(n + 2)*(5*n + 2)/6
Let i(g) = -12*g**2 - 238*g - 188. Let k be i(-19). Let z = 886/1575 - -2/225. Factor -z*w**2 - 6/7 - k*w.
-2*(w + 3)*(2*w + 1)/7
Determine c, given that 52*c**3 - 48*c**3 - 2*c**2 - 38*c**2 = 0.
0, 10
Let v(l) = -l**2 + 10*l - 19. Let n be v(7). Factor 27*i**3 - 7*i**3 - 12*i**4 - 278*i**n + 270*i**2.
-4*i**2*(i - 1)*(3*i - 2)
Suppose -3*d + 5*r = -83, -4*d + r + 139 = -0*d. Let b = d + -34. Determine f so that -2/3*f + 0 + 2/3*f**b = 0.
0, 1
Let m be (4/2)/((-524)/(-104) - 5). Let x = m - 101/2. Solve 1/2*o**4 + 0 - 1/2*o**2 - x*o**3 + 1/2*o**5 + o = 0 for o.
-2, -1, 0, 1
Let g(k) = -2*k - 32. Let o be g(-19). Factor -n**3 + 30*n**5 + 8*n**3 + 22*n**4 - o*n**3 + 3*n**3.
2*n**3*(3*n + 1)*(5*n + 2)
Suppose 3*y - 6*n - 6 = -3*n, 3*y - 4 = 5*n. Let b(l) be the second derivative of -1/15*l**6 + 0*l**2 + l + 0*l**4 + 1/5*l**5 + 0*l**y + 0. Factor b(w).
-2*w**3*(w - 2)
Let b(m) be the second derivative of -m**6/12 + 11*m**5/8 - 45*m**4/8 + 125*m**3/12 - 10*m**2 - m + 1. Suppose b(i) = 0. Calculate i.
1, 8
Let y = 16 + -1. Let x = 21 - y. Factor 9*u + x*u - 3*u**4 + 6 + 9*u**2 + 14*u**3 - 10*u**3 - 7*u**3.
-3*(u - 2)*(u + 1)**3
Let z(k) = 3*k**2 - 36*k + 81. Let h(v) = -5*v + 5. Let w(y) = -2*y + 2. Let g(x) = 3*h(x) - 8*w(x). Let o(p) = 6*g(p) + z(p). Find t such that o(t) = 0.
5
Let f(m) = -m**3 + 6*m**2 + 29*m - 18. Let j be f(9). Solve j + 3/5*z**3 + 3/5*z**4 - 3/5*z**2 - 3/5*z = 0 for z.
-1, 0, 1
Let b(r) be the second derivative of -r**6/210 + r**5/28 - 3*r**4/28 + r**3/6 - r**2/7 + 15*r - 4. Find d, given that b(d) = 0.
1, 2
Let d be -1*(9 + (-168)/16)*(4 - 2). Factor -1/2*v - 1/8*v**d + 1/2*v**2 + 0.
-v*(v - 2)**2/8
Let c(x) be the third derivative of 5*x**8/336 - x**7/14 + x**6/8 - x**5/12 + x**2 + 19*x. Factor c(v).
5*v**2*(v - 1)**3
Let o(l) be the second derivative of -l**6/6 + 13*l**5/20 - 11*l**4/12 + l**3/2 + 6*l + 1. Let o(g) = 0. What is g?
0, 3/5, 1
Let l(c) be the first derivative of c**4/44 + 23*c**3/33 + 13*c**2/2 + 11*c + 44. Let l(d) = 0. Calculate d.
-11, -1
Factor 54 + 0*g**2 + 0*g**2 - 9*g - 2*g**2 - g**2.
-3*(g - 3)*(g + 6)
Let c = -5638 - -16918/3. What is k in 0 + c*k**2 + 2/3*k + 2/3*k**3 = 0?
-1, 0
Find f, given that 81/4 - 3/2*f**3 + 27/2*f + 0*f**2 - 1/4*f**4 = 0.
-3, 3
Let b be (-320)/10*(-7)/(-462)*-9. Suppose b*f - 12/11*f**3 - 2/11*f**2 + 8/11 = 0. Calculate f.
-2, -1/6, 2
Let m(l) = 17*l**4 - 36*l**3 + 29*l**2 + 71*l - 11. Let s(v) = -6*v**4 + 12*v**3 - 10*v**2 - 24*v + 4. Let i(a) = -4*m(a) - 11*s(a). Factor i(u).
-2*u*(u - 5)*(u - 2)*(u + 1)
Let x(q) = q**3 + 235*q**2 + 9800*q - 10018. Let u(c) = -4*c**2 + 2. Let b(d) = -18*u(d) - 2*x(d). Factor b(r).
-2*(r - 1)*(r + 100)**2
Suppose -2*p - 3 = -f, 0 = p + 3*f - 6*f + 9. Let d(y) be the first derivative of -6 + 0*y**2 + 1/18*y**4 + p*y + 0*y**3 + 2/45*y**5. Factor d(j).
2*j**3*(j + 1)/9
Let q(l) be the first derivative of -l**6/42 + l**5/7 - l**4/4 + l**3/7 - 92. Factor q(p).
-p**2*(p - 3)*(p - 1)**2/7
Factor 15*r - 2*r**2 - 14*r**2 + 4*r**4 - 7*r + 4*