129/44 + 9/11. Let k = -101/28 + f. Determine x, given that 0*x - k*x**4 + 1/7*x**2 - 1/7*x**3 + 1/7*x**5 + 0 = 0.
-1, 0, 1
Let d = 871 - 865. Let f(i) be the first derivative of 4/3*i**3 + d + 4*i**2 + 4*i. Determine j so that f(j) = 0.
-1
Let m(w) be the second derivative of -1/21*w**3 + 4*w + 1/42*w**4 + 0*w**2 + 0. Factor m(a).
2*a*(a - 1)/7
Let o(l) = 42*l**3 + 2054*l**2 - 617*l + 17. Let c(s) = 7*s**3 + 342*s**2 - 103*s + 3. Let f(a) = 34*c(a) - 6*o(a). Factor f(t).
-2*t*(t + 50)*(7*t - 2)
Let r be (-68)/(-352) - (-5 - 159/(-33)). Let x(k) be the first derivative of 4 - 3/10*k**5 + 1/2*k**3 + r*k**2 + 0*k + 0*k**4 - 1/8*k**6. Solve x(b) = 0 for b.
-1, 0, 1
Suppose 5*g + 2*p - 13 = -0*p, -2*g = -4*p - 10. Let r(k) be the first derivative of -2*k**2 - 2*k**g + 4 - 2/3*k. Factor r(y).
-2*(3*y + 1)**2/3
Let l(y) be the second derivative of -5*y + 28/15*y**3 + 8/5*y**2 + y**4 - 1/35*y**7 + 1/10*y**5 - 8/75*y**6 + 0. Find c, given that l(c) = 0.
-2, -1, -2/3, 2
Let i(h) be the first derivative of h**5/20 + 17*h**4/16 + 13*h**3/2 + 4*h**2 - 32*h + 140. Factor i(b).
(b - 1)*(b + 2)*(b + 8)**2/4
Let h(f) be the second derivative of -3/10*f**5 + f**3 + 9*f + 0 + 1/15*f**6 - 1/6*f**4 + 0*f**2. Factor h(w).
2*w*(w - 3)*(w - 1)*(w + 1)
Let r(m) be the third derivative of 11*m**2 - 25/24*m**4 + 0*m + 5/3*m**3 + 5/24*m**6 + 1/14*m**7 - 5/12*m**5 + 0. Find b, given that r(b) = 0.
-2, -1, 1/3, 1
Let u = 5/553 - -67/79. Factor 6/7*h**2 + 3/7 - u*h**3 - 3/7*h**5 + 9/7*h - 9/7*h**4.
-3*(h - 1)*(h + 1)**4/7
Let g = -13 - -16. Factor -2*t**g - 47*t**2 + 46*t**2 + 1 + t**4 - 1 + 2*t.
t*(t - 2)*(t - 1)*(t + 1)
Suppose u - 112 = -3*u. Let s be 4 + -4 - (-64)/u. Find m, given that -12/7*m**2 - 2/7*m**3 - s - 24/7*m = 0.
-2
Let l(v) = v + 9. Suppose -m - 2*m = 0. Let n be l(m). Factor 3 - 9 - n*o**2 - 4*o + 19*o.
-3*(o - 1)*(3*o - 2)
What is a in 40 - 3165*a**2 - 27*a + 5*a**3 - 3*a + 0*a**3 + 3150*a**2 = 0?
-2, 1, 4
Let i(t) = -3 - 8*t**3 + t**4 + 4*t**2 + 4 + 2*t**2. Let u(c) = c**3 - c**2. Let p(n) = -3*i(n) - 24*u(n). Factor p(a).
-3*(a - 1)**2*(a + 1)**2
Let y(i) be the first derivative of 7/4*i**2 - 3 - 3*i - 1/3*i**3. Factor y(l).
-(l - 2)*(2*l - 3)/2
Suppose -2 - 2 = -b, 48 = -5*v + 2*b. Let i be 2 + -1 - (v + 3 + 4). Suppose 0*a**i + 1/2*a**3 + 0*a + 1/2*a**5 + 0 + a**4 = 0. Calculate a.
-1, 0
Suppose 0 = -d + 14 - 13. Let z(p) = -3*p**2 + p**2 - d + p**2 - p. Let y(x) = -2*x**2 - x. Let g(s) = 3*y(s) - 3*z(s). Factor g(f).
-3*(f - 1)*(f + 1)
Let j(y) be the second derivative of -16*y**7/21 - 104*y**6/15 - 193*y**5/10 - 13*y**4 - 3*y**3 + 14*y + 5. Solve j(z) = 0.
-3, -1/4, 0
Let f(j) be the second derivative of j**5/5 + 3*j**4 - 20*j**3/3 - 129*j + 2. Determine l so that f(l) = 0.
-10, 0, 1
Let v(m) = -15*m**3 + m**2 + m - 13. Let a(r) = -r**3 - 1. Let f(s) = 3*s**3 - s**2 + 2. Let n(d) = -4*a(d) + f(d). Let b(h) = 13*n(h) + 6*v(h). Factor b(k).
k*(k - 6)*(k - 1)
Let o(g) be the second derivative of -g**8/1176 + 4*g**7/735 - g**6/84 + g**5/105 - 19*g**2/2 - 11*g. Let u(i) be the first derivative of o(i). Factor u(k).
-2*k**2*(k - 2)*(k - 1)**2/7
Let k(n) be the first derivative of 135*n**4/4 - 47*n**3 + 3*n**2 + 416. Let k(r) = 0. What is r?
0, 2/45, 1
Let i(g) be the second derivative of g**4/3 + 140*g**3/3 + 2450*g**2 - 72*g. Solve i(h) = 0 for h.
-35
Let t(q) be the second derivative of 0 + 2/21*q**3 + 1/7*q**2 - 20*q + 1/42*q**4. Factor t(n).
2*(n + 1)**2/7
Suppose 710 = -2*i + 4*z, 3*i + z + 466 + 585 = 0. Let w = -687/2 - i. Suppose 1 - w*q**2 - 5/2*q**3 - 6*q**5 + 25/2*q**4 + 5/2*q = 0. What is q?
-2/3, -1/4, 1
Let n(v) = v**2 - 3*v + 1. Let d = -10 + 14. Let m be n(d). Suppose 1/4*x**2 - 3/4*x**m - 1/4*x**4 + 0 + 0*x + 3/4*x**3 = 0. Calculate x.
-1, -1/3, 0, 1
Let f(k) be the second derivative of 2*k**7/21 - 14*k**6/15 - 17*k**5/5 - 3*k**4 - 231*k. Factor f(b).
4*b**2*(b - 9)*(b + 1)**2
Suppose -20*r + 16*r = -12. Solve 5*c**4 - 8*c**3 + 3*c**2 - 2*c**3 + c**5 + 17*c**r = 0 for c.
-3, -1, 0
Let o(f) = 3*f + 2. Let p be o(0). Factor 20*m + 0*m**2 - 8 - 14*m**p - 20*m**3 + 10*m**2 + 12*m**4.
4*(m - 1)**2*(m + 1)*(3*m - 2)
Suppose 2*r - 2 = -0*r. Suppose -y + 2 = -r. Factor -y*v**3 + 1 + 6*v**3 - 9 - 12*v - 2*v**2 + v**4.
(v - 2)*(v + 1)*(v + 2)**2
Let z(y) be the third derivative of -32*y**2 + 8/27*y**3 + 0*y + 1/18*y**4 + 0 - 1/135*y**5. Determine j, given that z(j) = 0.
-1, 4
Let c = -523 - -527. Factor -1/3*u**5 + 2/3*u**c + u**3 - 4/3*u**2 + 0 - 4/3*u.
-u*(u - 2)**2*(u + 1)**2/3
Let c(f) = 2*f**2 - 29*f - 120. Let m be c(18). Let d(a) be the third derivative of 0*a + 0 - 1/12*a**4 + 1/6*a**3 + m*a**2 + 1/60*a**5. Factor d(h).
(h - 1)**2
Factor -256/5*f + 2/5*f**4 - 16*f**3 - 252/5*f**2 - 86/5.
2*(f - 43)*(f + 1)**3/5
Let t(y) = -7*y**2 - 23*y - 83. Let l(c) = 20*c**2 + 70*c + 252. Let p(n) = 5*l(n) + 14*t(n). Factor p(z).
2*(z + 7)**2
Factor -327*k**2 + 324*k**2 - 31 - 30 + 21*k + 25.
-3*(k - 4)*(k - 3)
Let y = 103 - 821/8. Let j(a) be the first derivative of -3/4*a - 1 + 1/8*a**6 - 3/8*a**4 + y*a**2 + 1/2*a**3 - 3/20*a**5. Solve j(g) = 0.
-1, 1
Suppose -126*w**2 + 7 - 299*w**2 + 25*w**5 - 365*w**3 - 35*w**4 + 4 - 20*w + 68 + 21 = 0. What is w?
-2, -1, 2/5, 5
Let l(o) = 3*o**4 - 5*o**3 - 26*o**2 - 18*o + 6. Let i(q) = 7*q**4 - 9*q**3 - 51*q**2 - 35*q + 15. Let j(g) = -6*i(g) + 15*l(g). Solve j(n) = 0.
-2, -1, 0, 10
Let l(c) be the first derivative of 7/40*c**5 + 0*c - 1/8*c**6 + 1/8*c**2 + 1/8*c**4 - 5 - 7/24*c**3. Suppose l(v) = 0. Calculate v.
-1, 0, 1/2, 2/3, 1
Determine w, given that -8 + 172*w**2 - 92*w**4 - 49 - 11 + 284*w**3 - 28*w**5 - 12 - 256*w = 0.
-5, -1, -2/7, 1, 2
Let k(g) be the third derivative of -g**7/70 - g**6/120 + g**5/2 - g**4/2 - 20*g**3/3 - 70*g**2. Determine q, given that k(q) = 0.
-10/3, -1, 2
Let c(m) = -4*m**2 + 6*m. Let d(q) = q**2 + q. Let r(y) = c(y) + 3*d(y). Find b such that r(b) = 0.
0, 9
Factor 3 - 8/3*b - 1/3*b**2.
-(b - 1)*(b + 9)/3
Find h, given that 4/5*h**4 + 275184/5*h + 100*h**3 - 296352/5 + 20664/5*h**2 = 0.
-42, 1
Solve -5/3*c**4 + 0 - 15*c - 35/3*c**3 - 25*c**2 = 0 for c.
-3, -1, 0
Let p(b) be the second derivative of -2*b**7/9 - 178*b**6/45 - 58*b**5/15 + 8*b**4/3 + 178*b. Solve p(l) = 0 for l.
-12, -1, 0, 2/7
Factor 75542*n - 10 - 75158*n - 560*n**2 - 96*n**3 - 4*n**4 + 2314.
-4*(n - 2)*(n + 2)*(n + 12)**2
Let v(h) be the second derivative of -h**6/54 + h**5/15 + 11*h**4/108 - h**3/9 - 2*h + 61. Suppose v(d) = 0. What is d?
-1, 0, 2/5, 3
Let k = -13864/325 - -566/13. Let l = k + -2/25. Factor 0 - 2/5*w**3 + l*w**2 + 0*w.
-2*w**2*(w - 2)/5
What is b in 51/4*b**3 - 25*b**2 + 1/2 + 47/4*b = 0?
-2/51, 1
Suppose -2*c - c = 6*c. Suppose 2*j = -c*j - 4*j. Let j*b**2 - 1/3*b**5 + 2/3*b**4 - 1/3*b**3 + 0*b + 0 = 0. Calculate b.
0, 1
Let y(t) = -10*t**4 - 50*t**3 - 60*t**2 + 40*t + 80. Let n(b) = -2*b**4 - 10*b**3 - 12*b**2 + 8*b + 16. Let d(f) = 22*n(f) - 4*y(f). Let d(m) = 0. What is m?
-2, 1
Let w = -25 - -31. Suppose 4 = -2*x + 2*o - w*o, -3*x - 3*o = -3. Determine q, given that 3/2*q**2 + 21/4*q + 27/4*q**5 - 3/2 + 0*q**x - 12*q**3 = 0.
-1, 1/3, 2/3, 1
Let r = 159 - 276. Let g = r - -120. Solve 6/5*y**2 + 12/5*y + 3/5*y**4 - 9/5 - 12/5*y**g = 0 for y.
-1, 1, 3
Let x(p) = -p**3 + p. Let a(t) = 8*t**3 - 75*t**2 - 3*t. Let k(g) = -a(g) - 3*x(g). Factor k(v).
-5*v**2*(v - 15)
Let p = 46 + -44. Suppose 2*a**3 + p*a**3 + 3*a**4 - 19*a**4 + 12*a**4 = 0. What is a?
0, 1
Let c(u) be the first derivative of -u**3/15 - 17*u**2/10 + 38*u/5 - 736. Find j such that c(j) = 0.
-19, 2
Let n(k) be the first derivative of -k**4/26 + 2*k**3/13 - 8*k/13 + 129. What is h in n(h) = 0?
-1, 2
Let c(z) be the first derivative of -z**6/1620 - z**5/540 + z**4/54 + 3*z**3 + 6. Let f(l) be the third derivative of c(l). Factor f(u).
-2*(u - 1)*(u + 2)/9
Let i(c) be the first derivative of c**7/231 + 2*c**6/165 - c**4/33 - c**3/33 - 4*c + 16. Let l(n) be the first derivative of i(n). Factor l(d).
2*d*(d - 1)*(d + 1)**3/11
Suppose -h - 8 = h, -31528 = -3*t + h. Factor -t + 10508 + 2*n**2 - n + 3*n**3.
n*(n + 1)*(3*n - 1)
Let s(m) be the first derivative of m**7/84 - m**5/20 + m**3/12 + 5*m + 13. Let i(w) be the first derivative of s(w). What is y in i(y) = 0?
-1, 0, 1
Let c(u) be the third derivative of u**6/100 - u**5/100 - 3*u**