/2*l**3. Factor u(r).
-3*(r + 3)**2/2
Let c(m) = m**2 - 431*m - 242. Let z(a) = 429*a + 246. Let p(b) = 6*c(b) + 5*z(b). Factor p(h).
3*(h - 74)*(2*h + 1)
Suppose o - b - 4*b = 12, -5*o - 4*b = 56. Let f be (6*1/60)/((-2)/o). What is t in 0 - 2/5*t - f*t**2 = 0?
-1, 0
Factor -6*y**3 + 3*y**4 - 4*y**3 - 8*y**2 - 42*y**2 + y**3 - 4*y**2.
3*y**2*(y - 6)*(y + 3)
Let y(d) = 4*d**5 + 4*d**4 - 8*d**3 - 32*d**2 - 2*d + 34. Let x(k) = -k**5 + k**4 + k - 1. Let a(g) = 4*x(g) + 2*y(g). Factor a(m).
4*(m - 2)*(m - 1)*(m + 2)**3
Let s = -79 + 83. Factor -6*o - s*o**4 + 32*o**2 + 18*o - 4*o**3 + 33*o + 3*o.
-4*o*(o - 3)*(o + 2)**2
Let u(i) be the third derivative of -i**9/1008 + i**8/280 - i**6/60 + i**5/40 - 9*i**3/2 + 28*i**2. Let m(n) be the first derivative of u(n). Factor m(a).
-3*a*(a - 1)**3*(a + 1)
Let q(v) be the third derivative of 0*v - 5/2*v**3 - 1/12*v**5 + 0 + 5/6*v**4 - 6*v**2. Factor q(t).
-5*(t - 3)*(t - 1)
Let v = 2241/638 - 4/319. Factor -v*j**2 + 0 + j.
-j*(7*j - 2)/2
Factor 3*t**4 + 3/4*t**3 - 81/4*t**2 - 39/4 + 105/4*t.
3*(t - 1)**3*(4*t + 13)/4
Suppose 0 = -30*i + 38*i - 8. Let l be (5 - 3) + i - (1 + -1). Factor 0 - 8/7*b**2 - 6/7*b**l + 8/7*b.
-2*b*(b + 2)*(3*b - 2)/7
Factor 1/2*c**2 + 0 - 89/2*c.
c*(c - 89)/2
Let b = 7 + -4. Suppose b*v - 23 = -14. Suppose -v*u**2 + 4*u**2 + 4*u - u**2 - 4*u**3 = 0. Calculate u.
-1, 0, 1
Let x(r) = 7*r**3 - 7*r**2 + r - 3. Let z(p) = -15*p**3 + 15*p**2 - 3*p + 6. Let t(d) = 13*x(d) + 6*z(d). Determine v so that t(v) = 0.
-1, 3
Suppose -s + 2*n = 1, -4*n = 3*s - 85 + 68. Factor -75/4*z**s - 57/2*z**2 - 3/4*z**5 - 6*z**4 - 6 - 21*z.
-3*(z + 1)**2*(z + 2)**3/4
Let w(m) be the second derivative of -m**4/102 + 7*m**3/17 - 20*m**2/17 - m - 2. Factor w(c).
-2*(c - 20)*(c - 1)/17
Factor 51/2*s**3 + 0 + 15*s**4 + 0*s - 9*s**2.
3*s**2*(s + 2)*(10*s - 3)/2
Let a(u) be the first derivative of -1/6*u + 1/18*u**3 + 0*u**2 - 1. Factor a(n).
(n - 1)*(n + 1)/6
Let l(k) be the first derivative of -40 + 5*k - k**5 + 5*k**2 - 5/2*k**4 + 0*k**3. Let l(j) = 0. Calculate j.
-1, 1
Let h be (36 + -35)/(2*(-2)/(-192)). Let m = h - 45. Factor -8/3*o**2 + 2/3*o**m - 4/3 + 10/3*o.
2*(o - 2)*(o - 1)**2/3
Suppose 0 = 2*l - 5*l - b + 35, 4*b = 2*l. Factor -88*q**2 + 1 + 86*q**2 - 13 + l*q.
-2*(q - 3)*(q - 2)
Let h = 2894/2175 + 2/725. Factor -4/3*v**3 + 0*v**2 + h*v - 2/3*v**4 + 2/3.
-2*(v - 1)*(v + 1)**3/3
Factor 0*c**2 + 30/13*c**3 + 0*c + 0 + 2/13*c**5 + 32/13*c**4.
2*c**3*(c + 1)*(c + 15)/13
Let w(x) be the second derivative of -x**5/120 + x**4/24 - x**3/12 + x**2/12 + 257*x. Factor w(k).
-(k - 1)**3/6
Let f(u) be the second derivative of -u**6/6 + 3*u**5/2 - 10*u**4/3 - 5*u**3 + 45*u**2/2 + 24*u + 4. Factor f(w).
-5*(w - 3)**2*(w - 1)*(w + 1)
Let b(w) be the third derivative of 0 + 0*w**3 + 17/240*w**6 + 1/16*w**4 + 4*w**2 - 2/15*w**5 + 0*w - 1/105*w**7. Factor b(n).
-n*(n - 3)*(n - 1)*(4*n - 1)/2
Let s(b) = -b + 39 - 81 - b**2 - b**3 + 38. Let g be s(-2). Let 4/7*r**3 - 12/7*r**g + 12/7*r - 4/7 = 0. Calculate r.
1
Let n(o) be the first derivative of -o**4/4 + o**3 + o**2/2 - 3*o - 124. Determine t, given that n(t) = 0.
-1, 1, 3
Let q(r) be the third derivative of -r**8/40320 - r**7/1260 + r**6/160 - 13*r**5/20 + 6*r**2. Let u(m) be the third derivative of q(m). Factor u(s).
-(s - 1)*(s + 9)/2
Let k(g) = g**2 - g - 1. Let y(v) = 16*v**2 - 16*v - 20. Suppose p - 100 = -4*p. Let b = p - 21. Let h(s) = b*y(s) + 20*k(s). Let h(u) = 0. Calculate u.
0, 1
Let h be (15 - 9)*(-7)/(-2) + -4. Factor -2*n**3 - h - 6*n + 39 - 22 - 8*n**2.
-2*n*(n + 1)*(n + 3)
Let p(g) be the first derivative of 2*g**5/5 - g**4/2 - 10*g**3/3 - 3*g**2 + 160. Factor p(q).
2*q*(q - 3)*(q + 1)**2
Let c(l) be the first derivative of l**4/30 - 2*l**3/9 - 16*l**2/5 + 168*l/5 + 206. Find n, given that c(n) = 0.
-7, 6
Let w(t) be the third derivative of -t**6/240 - t**5/80 + 3*t**4/16 - t**3/3 + t**2 - 8*t. Let w(g) = 0. Calculate g.
-4, 1/2, 2
Suppose -8*p + 26*p - 90 = 0. Let t(y) be the first derivative of 0*y**4 + 0*y**2 + 8/3*y**3 - 4/5*y**p - 4*y + 8. Factor t(w).
-4*(w - 1)**2*(w + 1)**2
Suppose 0*y + 2/5*y**3 - 12/5*y**2 + 0 = 0. What is y?
0, 6
Let h(n) = -2*n**2 - 82*n - 75. Let i be h(-40). Let y(x) be the third derivative of 1/180*x**5 + 0*x - 1/6*x**3 + 0 + 1/36*x**4 + i*x**2. Factor y(r).
(r - 1)*(r + 3)/3
Let k(l) be the second derivative of l**7/504 - l**6/72 - 7*l**4/12 + 18*l. Let u(c) be the third derivative of k(c). Solve u(b) = 0 for b.
0, 2
Let z(x) be the first derivative of -46 - 3/16*x**4 - 3/2*x + 9/8*x**2 + 0*x**3. Find v, given that z(v) = 0.
-2, 1
Factor 11/4*x**2 + 1/4*x**3 + 39/4*x + 45/4.
(x + 3)**2*(x + 5)/4
Factor 9*p**2 - 54*p - 4*p**2 - 59*p**2 - 2*p**4 - 18*p**3.
-2*p*(p + 3)**3
Let b(t) be the second derivative of -20*t**7/399 + 73*t**6/285 - 28*t**5/95 - 53*t**4/114 + 4*t**3/3 - 20*t**2/19 + t - 2. Solve b(p) = 0.
-1, 2/5, 1, 5/4, 2
Let j(h) be the third derivative of h**6/200 - h**5/20 + h**4/20 + 4*h**3/5 - 257*h**2. Factor j(z).
3*(z - 4)*(z - 2)*(z + 1)/5
Let c(m) = m - 2. Let d(g) = 2*g**2 - 31*g - 18. Let j(u) = -10*c(u) - 2*d(u). Let j(p) = 0. Calculate p.
-1, 14
Let v(o) be the second derivative of o**6/600 - o**5/75 + o**4/30 - 8*o**2 + 12*o. Let n(c) be the first derivative of v(c). Factor n(r).
r*(r - 2)**2/5
Let c(b) be the second derivative of -b**4/30 + 4*b**3/5 + 15*b - 3. Factor c(h).
-2*h*(h - 12)/5
Suppose -95*p + 44 + 2*p**2 + 41*p + 8*p = 0. What is p?
1, 22
Suppose -141/2*x**2 - 3/2*x**5 + 0 - 39/2*x**4 + 135/2*x**3 + 24*x = 0. Calculate x.
-16, 0, 1
Let w(g) = 10*g**2 + 72*g + 619. Let u(h) = 5*h**2 + 32*h + 309. Let j(f) = -11*u(f) + 6*w(f). Factor j(z).
5*(z + 7)*(z + 9)
Let t(a) be the second derivative of -a**6/6 + 5*a**5/4 - 5*a**4/2 - 15*a + 2. Factor t(z).
-5*z**2*(z - 3)*(z - 2)
Let o be 20/(-15)*9/(-6). Factor x**2 + 30*x**3 + 20*x**4 + 5*x + 5*x**5 + 25*x**2 - 18*x**o + 12*x**2.
5*x*(x + 1)**4
Let j(u) be the third derivative of 0*u**4 + 0 - u**3 + 0*u - 1/12*u**5 + 2*u**2. Let g(v) = 4*v**2 + 5. Let n(a) = 6*g(a) + 5*j(a). Solve n(c) = 0.
0
Find c, given that -768/7 + 96/7*c - 3/7*c**2 = 0.
16
Let q(k) be the first derivative of 5*k**3/6 + 35*k**2/4 - 110*k + 83. Solve q(s) = 0 for s.
-11, 4
Let r(x) = -x**3 - 13*x**2 + 13*x + 169. Let m be r(-13). Let 0 + 8/5*u**4 - 4/5*u**2 + m*u - 6/5*u**5 + 2/5*u**3 = 0. What is u?
-2/3, 0, 1
Let r(x) be the third derivative of 0 - 1/90*x**5 + 0*x - 1/72*x**4 + 1/18*x**3 - 11*x**2. Factor r(b).
-(b + 1)*(2*b - 1)/3
Find t such that -4*t**2 + 3*t**2 - 212*t + 64*t + 0*t**2 + 5*t**2 = 0.
0, 37
Let q = -2931 - -14657/5. Let q*u - 6/5*u**2 - 8/5*u**3 + 0 = 0. What is u?
-1, 0, 1/4
Let c(p) be the second derivative of 8788*p**5/5 - 169*p**4 + 13*p**3/2 - p**2/8 + 122*p. Determine n so that c(n) = 0.
1/52
Let u = 110 - 126. Let s be (-1 - 0) + (-20)/u. Factor 3/4*g**2 + s*g**3 + 3/4*g + 1/4.
(g + 1)**3/4
Suppose h + 4*w - 15 = 0, -2*h - w - 12 = -7*h. Let s(b) be the first derivative of 1/12*b**h + 1 + b**2 + 4*b. Factor s(x).
(x + 4)**2/4
Let p = 12637/51 - 743/3. Determine w so that 0 - 2/17*w**2 + p*w = 0.
0, 1
Let v(y) be the first derivative of y**4/20 + 104*y**3/5 + 16224*y**2/5 + 1124864*y/5 - 411. Factor v(w).
(w + 104)**3/5
Let m(f) be the third derivative of 0*f**3 - 14*f**2 - 5/12*f**4 + 0 + 0*f - 1/48*f**6 - 5/24*f**5. Factor m(t).
-5*t*(t + 1)*(t + 4)/2
Let u(v) = -3*v**2 - 2*v + 37. Let d be u(-6). Let t = 299/5 + d. Suppose -t*o**3 - 8/5*o**2 + 16/5*o + 2/5*o**4 + 0 = 0. Calculate o.
-2, 0, 2
Let a = 36 - 34. Factor -8*b**2 - b**2 + 2 - 2*b + 4*b**3 + 2*b**4 + b**2 - a*b**5 + 4*b**2.
-2*(b - 1)**3*(b + 1)**2
Let k(g) be the third derivative of 0*g - 1/240*g**5 - 9*g**2 + 1/12*g**3 + 1/96*g**4 + 0. Factor k(h).
-(h - 2)*(h + 1)/4
Let d(n) be the first derivative of -3*n**6/2 - 57*n**5/5 + 99*n**4/2 - 54*n**3 + 3*n**2/2 + 27*n - 159. Suppose d(h) = 0. What is h?
-9, -1/3, 1
Let v = -265 - -269. Let n(j) be the third derivative of 1/6*j**3 + 2*j**2 - 1/480*j**6 + 0*j**v - 1/80*j**5 + 0*j + 0. Let n(r) = 0. Calculate r.
-2, 1
Factor 44/21 + 2/21*o**3 - 20/21*o**2 - 26/21*o.
2*(o - 11)*(o - 1)*(o + 2)/21
Let g(w) be the second derivative of 49*w**4/6 + 7*w**3/3 + w**2/4 - 72*w. Suppose g(i) = 0. What is i?
-1/14
Factor -15/8*a**4 + 27/8*a**3 + 0 -