y**2 - 4/3*y**4.
y**3*(y - 3)*(y - 1)/3
Let q(s) be the first derivative of -5*s**6/6 - 4*s**5 - 5*s**4 + 10*s**3/3 + 25*s**2/2 + 10*s + 53. Factor q(v).
-5*(v - 1)*(v + 1)**3*(v + 2)
Let k(z) = 11*z**3 + 19*z**2 - 42*z + 6. Let g(a) = a**3 - a**2 - 2*a + 1. Let v(j) = -6*g(j) + k(j). Solve v(o) = 0 for o.
-6, 0, 1
Let z be 428/6 - (-6)/9. Let l = 362/5 - z. Factor 2/5*t**3 - l*t + 0*t**2 - 1/5 + 1/5*t**4.
(t - 1)*(t + 1)**3/5
Let u(g) = -g**2 + 332*g + 308. Let q(m) = 2*m**2 - 498*m - 460. Let p(o) = -5*q(o) - 8*u(o). Factor p(y).
-2*(y + 1)*(y + 82)
Factor 3/7*r**4 + 0 + 24*r**3 + 0*r + 165/7*r**2.
3*r**2*(r + 1)*(r + 55)/7
Let c = 132936/41 + -3242. Let b = c + 394/287. Solve -b*y + 9/7 + 3/7*y**2 = 0.
1, 3
Let w(r) = 501*r**2 + 68*r - 40. Let p(a) = 3510*a**2 + 475*a - 280. Let d(i) = -2*p(i) + 15*w(i). Let d(y) = 0. Calculate y.
-4/11, 2/9
Let a(l) be the first derivative of l**4/6 - 32*l**3/9 + 41*l**2/3 - 52*l/3 + 162. Determine o so that a(o) = 0.
1, 2, 13
Let o(x) be the first derivative of 4*x**3 + 33*x**2/2 - 9*x + 58. What is k in o(k) = 0?
-3, 1/4
Determine z, given that -12 + 25/2*z + 11/2*z**2 = 0.
-3, 8/11
Let r = -2/733 - -793/21990. Let c(b) be the third derivative of -4/15*b**5 + 0 + 0*b + b**2 + r*b**6 + 0*b**3 + 2/3*b**4. What is w in c(w) = 0?
0, 2
Solve -12/7*z + 2/7*z**2 + 18/7 = 0.
3
Factor -11 + 5 + 6 - o**2 - 8*o.
-o*(o + 8)
Let l(x) = x**2 + 2*x + 5. Let k be l(-3). Let -34*q**2 - k + 2 + 31*q**2 - 9*q = 0. Calculate q.
-2, -1
Let k(d) be the first derivative of 0*d - 11 + 0*d**3 - 3/14*d**2 + 3/28*d**4. Factor k(b).
3*b*(b - 1)*(b + 1)/7
Let l(g) be the first derivative of -g**4/16 - 6*g**3 - 216*g**2 - 3456*g + 73. Factor l(v).
-(v + 24)**3/4
Let a(s) be the first derivative of -s**4/16 - 7*s**3/4 + 11. Determine d, given that a(d) = 0.
-21, 0
Factor 5*i**2 - 36902 + 521*i + 132122 - 420*i - 1481*i.
5*(i - 138)**2
Let b be (127/21)/(20/72). Let w = -106/5 + b. Find p such that -2/7 + 6/7*p**4 + 4/7*p**3 - w*p**2 - 6/7*p + 2/7*p**5 = 0.
-1, 1
Let i(f) = 5*f**3 - 835*f**2 - 5*f + 5. Let v(a) = 3*a**3 - 417*a**2 - 2*a + 2. Let g(d) = 2*i(d) - 5*v(d). Factor g(n).
-5*n**2*(n - 83)
Let w = -292 - -548. Let y = -253 + w. Determine g so that 12/7*g - 4/7*g**5 - 8/7*g**2 - 8/7*g**y + 12/7*g**4 - 4/7 = 0.
-1, 1
Let l(g) = 2*g - 8. Let q = -7 + 13. Let u be l(q). Solve -13 + 15 + a**3 - 3*a - u*a**2 + 4*a**2 = 0.
-2, 1
Let m = -1152 - -1154. Determine v so that -1 - 2/5*v**3 + 9/5*v**m + 6/5*v = 0.
-1, 1/2, 5
Let -62*b**2 + 113*b**2 + 65*b - 56*b**2 = 0. Calculate b.
0, 13
Suppose 3*r - 6*r = -15. Suppose 3*m = 12, r*t - 4 = 3*t + m. Factor -1 - d**2 + t*d - 6*d + 4*d.
-(d - 1)**2
Let d(h) = -13*h**4 + 6*h**3 - h**2 - 13*h - 14. Let a(x) = 7*x**4 - 3*x**3 + x**2 + 7*x + 8. Let u(j) = 7*a(j) + 4*d(j). Factor u(q).
-3*q*(q - 1)**2*(q + 1)
Let r(n) be the first derivative of -2/21*n**3 - 2/7*n - 2/7*n**2 + 21. Factor r(d).
-2*(d + 1)**2/7
Let n(w) be the third derivative of w**7/1050 + w**6/100 + w**5/300 - w**4/5 + 8*w**3/15 - 198*w**2 - 2. Factor n(t).
(t - 1)**2*(t + 4)**2/5
Let -2/5 + 2/3*n - 2/15*n**3 - 2/15*n**2 = 0. Calculate n.
-3, 1
Let n = 24187/5 + -4823. Determine m, given that 0 + 3/5*m + 66/5*m**3 + n*m**4 + 24/5*m**2 + 27/5*m**5 = 0.
-1, -1/3, 0
Let y(f) be the first derivative of -5*f**4/72 - 5*f**3/4 - f - 26. Let k(i) be the first derivative of y(i). Factor k(j).
-5*j*(j + 9)/6
Suppose -6*c - 24 = 2*c. Let f be (2/(-8))/((1 - c)/(-8)). Suppose -1/2*g**3 + 1/2*g - f + 1/2*g**2 = 0. Calculate g.
-1, 1
Suppose 5*i + 0 + 3 = -s, -3*s = 9. Let k be 3 - 3/(-6)*i. Factor o**3 + 4*o**3 - 3*o**3 + 2*o**k - 12*o + 8.
4*(o - 1)**2*(o + 2)
Suppose -s + 4 + 4 = 0. Factor 10*x**2 + 3*x - s*x + 0*x - 5*x**3.
-5*x*(x - 1)**2
Determine f, given that f**4 - 3*f**3 - 5*f**2 + 34*f - 83*f + 47*f + f**5 = 0.
-1, 0, 2
Factor 0 - 2/15*t**4 + 0*t + 4/3*t**3 - 10/3*t**2.
-2*t**2*(t - 5)**2/15
Let c(z) = 12 + 8*z - 5*z + z**2 + 2*z + 3*z. Let u be c(-6). Determine k so that 2/7*k**2 - 2/7 + u*k = 0.
-1, 1
Let a be (4/(-3))/((-10)/15). Suppose -2*r + 4*r - 16 = a*l, 2*l = r - 13. Suppose 3*k**r - 2*k**3 + k**4 + 33*k**5 - 32*k**5 - 3*k**4 = 0. What is k?
0, 1
Factor 0 + 2/7*o**3 - 10/7*o + 8/7*o**2.
2*o*(o - 1)*(o + 5)/7
Let s(g) be the third derivative of 0*g - 2/9*g**3 + 0 - 49/720*g**6 + 13/36*g**4 - 7/36*g**5 + 3*g**2. Let s(y) = 0. What is y?
-2, 2/7
Let z(d) = d**4 + 9*d**3 + 5*d**2 + 5*d + 5. Let b(u) = -u**4 - 10*u**3 - 6*u**2 - 6*u - 6. Let t(n) = -5*b(n) - 6*z(n). Factor t(a).
-a**3*(a + 4)
Let 1/8*h**2 + 7/2 - 2*h = 0. Calculate h.
2, 14
Let c(n) be the third derivative of 1/45*n**5 - 11*n**2 + 0 + 1/36*n**4 + 1/180*n**6 + 0*n**3 + 0*n. Solve c(t) = 0.
-1, 0
Factor -63/4*a - 3/4*a**3 - 27/2 - 6*a**2.
-3*(a + 2)*(a + 3)**2/4
Let i(t) be the first derivative of 2*t**3/21 + 13*t**2/7 + 72*t/7 + 564. Find u such that i(u) = 0.
-9, -4
Factor -4/5*p**2 + 8/5 + 31/5*p.
-(p - 8)*(4*p + 1)/5
Let s(o) be the first derivative of -o**3/4 - 15*o**2/2 + 80. Suppose s(v) = 0. Calculate v.
-20, 0
Let r(h) = -2. Let c(b) = -b**2. Let w(d) = 4*c(d) - 4*r(d). Let y(u) be the third derivative of u**4/24 + 5*u**2. Let s(f) = -w(f) - 4*y(f). Factor s(a).
4*(a - 2)*(a + 1)
Let v(g) be the first derivative of 0*g - 12/5*g**5 + 11 - 2/3*g**6 - 3*g**4 + 0*g**2 - 4/3*g**3. Determine d, given that v(d) = 0.
-1, 0
Let u(j) be the first derivative of -8 + 15*j**4 + 128/9*j**3 + 0*j + 8/3*j**2 - 108/5*j**5. Solve u(b) = 0.
-2/9, 0, 1
Let b = 55596/5 - 11181. Let j = 63 + b. Factor 9/5*i**2 - 3/5*i**4 - 12/5*i + j*i**3 - 12/5.
-3*(i - 2)**2*(i + 1)**2/5
Let b(t) be the first derivative of t**4/8 + 5*t**3/6 - t**2/4 - 5*t/2 + 117. Factor b(k).
(k - 1)*(k + 1)*(k + 5)/2
Let d(t) be the third derivative of -t**7/42 - 7*t**6/30 - 4*t**5/5 - 2*t**4/3 + 8*t**3/3 - 9*t**2. Factor d(j).
-(j + 2)**3*(5*j - 2)
Let k(x) = -8*x**4 + 8*x**3 + 20*x**2 - 20*x. Let q(i) = 105*i**4 - 105*i**3 - 260*i**2 + 260*i. Let c(w) = -40*k(w) - 3*q(w). Factor c(d).
5*d*(d - 2)*(d - 1)*(d + 2)
Let q = 1932 - 1932. Factor -242/5*d - 2/5*d**3 + 44/5*d**2 + q.
-2*d*(d - 11)**2/5
Let n(x) be the second derivative of -x**4/3 + 2*x**3 + 20*x**2 + 345*x. Factor n(v).
-4*(v - 5)*(v + 2)
Let i(j) be the first derivative of 0*j**2 + 12/5*j - 7/5*j**3 - 1/10*j**6 + 3/20*j**4 + 9/25*j**5 + 32. Solve i(k) = 0.
-1, 1, 2
Let r(v) = -v**2 + 21*v - 27. Let x be r(20). Let d(f) = 5*f**2 + 5*f + 7. Let t(n) = 2*n**2 + 2*n + 3. Let w(z) = x*t(z) + 3*d(z). Factor w(y).
y*(y + 1)
Let j(p) = -p**5 + p**4 + p**2 - p - 1. Let h(r) = 2*r + 2*r**5 - 7*r**4 - 10 - 12 + 9 - 10*r**3 + 23*r**2. Let o(z) = -h(z) + 3*j(z). What is y in o(y) = 0?
-1, 1, 2
Let q(j) = -152*j**3 - 140*j**2 + 4*j + 8. Let k(z) = -51*z**3 - 47*z**2 + z + 3. Let p(d) = 8*k(d) - 3*q(d). Factor p(b).
4*b*(b + 1)*(12*b - 1)
Let m(d) = 2*d**2 + 6*d - 6. Let p(t) = 3*t**2 + 7*t - 7. Let a be ((-3)/4)/((-17)/136). Let n(z) = a*p(z) - 7*m(z). Find k, given that n(k) = 0.
0
Suppose -4*v - 4*x = -12 - 0, -x = 3*v - 13. Factor 20*k + 15*k**2 - v*k**3 - 61 - 56 + 117.
-5*k*(k - 4)*(k + 1)
Let m(z) be the first derivative of z**8/560 + 3*z**7/140 - z**6/120 - 3*z**5/20 + 9*z**3 - 28. Let h(f) be the third derivative of m(f). Factor h(d).
3*d*(d - 1)*(d + 1)*(d + 6)
Let i(y) be the first derivative of 25*y**6/27 + 38*y**5/9 + 19*y**4/3 + 104*y**3/27 + 8*y**2/9 - 93. Determine o so that i(o) = 0.
-2, -1, -2/5, 0
Let j(u) = -u**2 + u. Suppose -b - b = 3*o - 24, -o + 3*b - 3 = 0. Let f(g) = -4*g**2 + 3*g + 1. Let i(q) = o*j(q) - 2*f(q). Factor i(x).
2*(x - 1)*(x + 1)
Let x(j) be the first derivative of 1/8*j**4 + 1/2*j**3 + 17 + 0*j + 1/2*j**2. Find b such that x(b) = 0.
-2, -1, 0
Let d(i) = -i + 10. Suppose 2*w + 2*h - h - 16 = 0, -41 = -5*w - 3*h. Let u be d(w). Determine g so that -10*g + 2 + 18*g - 11*g + g**u = 0.
-2, 1
Let c(u) be the second derivative of u**4/144 + 11*u**3/36 + 19*u**2/8 + 546*u. Factor c(w).
(w + 3)*(w + 19)/12
Let q(y) = 2*y**2 - 234*y - 35. Let l(u) = u**2 - 156*u - 25. Let n(b) = 7*l(b) - 5*q(b). Factor n(w).
-3*w*(w - 26)
Factor -24/5*i + 26/5 - 2/5*i**2.
-2*(i - 1)*(i + 13)/5
Let p be (-960)/672 + 8/(-14) + 92/42. Solve p + 2/21*l**3 - 2/7*l + 0*l**2 = 0.
-2, 1
Factor 5*c**3 - 5*c - 11*c + 30*c**2 - 4*c - 40 - 5*c**4.
-5*