Factor 2888/7 + 2/7*w**2 + 152/7*w.
2*(w + 38)**2/7
Let o = -27 - -33. Factor 0*r - 59*r**2 - 55*r + 10 - o*r**2.
-5*(r + 1)*(13*r - 2)
Let t be (((-9)/(-5))/(-1))/((-6)/20). Factor 54 - 9*j**2 + 0*j**4 - 12*j + 0*j + 3*j**4 + t*j**3 - 42.
3*(j - 1)**2*(j + 2)**2
Let o(h) = 56*h**2 - 156*h + 6084. Let y(p) = -5*p**2. Let i(m) = 5*o(m) + 55*y(m). Find f, given that i(f) = 0.
78
Let d(x) be the first derivative of 10 + 1/12*x**3 + 3/2*x**2 + 9*x. Factor d(o).
(o + 6)**2/4
Suppose 0*l + 13*l + 66 = 144. Factor 3*f**2 - l*f**3 + 0 - 1/3*f.
-f*(3*f - 1)*(6*f - 1)/3
Let v(d) be the second derivative of -1/75*d**5 + 1/75*d**6 + 0*d**2 + 0 - 1/315*d**7 + 0*d**3 - 28*d + 0*d**4. Solve v(g) = 0 for g.
0, 1, 2
Suppose 5*v - 15 = 0, -3*v + 2*v = -4*m + 5. Factor 0*k**m + 3*k**3 + 11*k + 12*k + 3*k**2 - 26*k - 3*k**4.
-3*k*(k - 1)**2*(k + 1)
Suppose -11*n = -38 + 5. Let t be (9/n)/(12/8). Factor 6 - 2/3*h**3 - 2*h - 10/3*h**t.
-2*(h - 1)*(h + 3)**2/3
Suppose 7 = 2*s + 3. Factor 0*h**4 - 3*h**s - h**3 - 3*h**4 + 7*h**3 + 0*h**3.
-3*h**2*(h - 1)**2
Suppose c = -q - 7, -9*q - 14 = 4*c - 7*q. Factor -3/7*y**3 + 2/7*y**4 + 4/7*y - 4/7*y**2 + 1/7*y**5 + c.
y*(y - 1)**2*(y + 2)**2/7
Factor 12*q**2 + 51/5*q + 12/5*q**3 + 12/5.
3*(q + 4)*(2*q + 1)**2/5
Let i = -46 + 115. Let b = i + -66. Solve 1/2*q**4 + 1/2*q**5 - 3*q**b + q**2 - 3/2 + 5/2*q = 0.
-3, -1, 1
Let j = 345 + -341. Let m(n) be the first derivative of -7/11*n**6 - 12/11*n**j + 8/33*n**3 + 0*n + 82/55*n**5 + 0*n**2 - 4. Determine s so that m(s) = 0.
0, 2/7, 2/3, 1
Factor 64*f**2 + 884*f - 884*f + 0*f**5 + 32*f**4 + 80*f**3 + 4*f**5.
4*f**2*(f + 2)**2*(f + 4)
Let q(z) be the second derivative of -2*z**6/75 + z**5/10 - z**4/30 - 2*z**3/15 - z + 5. Suppose q(x) = 0. Calculate x.
-1/2, 0, 1, 2
Let o = 25151941819/3354733256 + -1/8557993. Let p = o - -1/392. Factor -3/2*c**3 - 3/2*c**2 - 9/2 + p*c.
-3*(c - 1)**2*(c + 3)/2
Let p(c) be the first derivative of -3*c**5/35 - 15*c**4/28 - 5*c**3/7 + 15*c**2/14 + 18*c/7 + 353. Determine a so that p(a) = 0.
-3, -2, -1, 1
Find x such that 529 - 109 + 222*x - 5*x**2 - 137*x = 0.
-4, 21
Let q be 250/(-25)*(-1)/2. Suppose -6 = -2*h, q*h - 9 = 3*u - 0*h. Factor 24/7*d - 8/7 - 22/7*d**u + 6/7*d**3.
2*(d - 2)*(d - 1)*(3*d - 2)/7
Let h(m) be the third derivative of m**6/1020 + 2*m**5/255 - 7*m**4/204 - 10*m**3/51 - 811*m**2. Factor h(t).
2*(t - 2)*(t + 1)*(t + 5)/17
Let a = 491 + -113. Factor 3 + 2*m - 381*m**2 - 2*m + a*m**2.
-3*(m - 1)*(m + 1)
Let z(u) be the third derivative of -u**6/30 + u**5/5 - u**4/2 + 2*u**3/3 - 2*u**2 - 39*u. Factor z(w).
-4*(w - 1)**3
Find k, given that 2*k**2 + 546*k**4 - 2*k**3 + 2*k**3 - 548*k**4 = 0.
-1, 0, 1
Let q(z) be the first derivative of z**6/12 - 13*z**5/10 + 29*z**4/4 - 53*z**3/3 + 85*z**2/4 - 25*z/2 + 395. Factor q(w).
(w - 5)**2*(w - 1)**3/2
Let o(v) be the second derivative of -2/3*v**2 + 5 + 1/45*v**5 + 13/54*v**4 + 3*v + 5/27*v**3. Let o(s) = 0. Calculate s.
-6, -1, 1/2
Let l(a) be the second derivative of a**6/10 + 3*a**5/2 - 3*a + 13. What is v in l(v) = 0?
-10, 0
Let b(r) be the first derivative of 19 + 3/20*r**4 + 0*r + 1/10*r**2 - 4/15*r**3. Factor b(j).
j*(j - 1)*(3*j - 1)/5
Find w, given that 0*w**2 + 0 + 0*w - 1/2*w**5 + 7/2*w**3 - 3*w**4 = 0.
-7, 0, 1
Let p(f) be the second derivative of -201/20*f**5 + 0 - 12*f**3 - 9/14*f**7 + 4*f - 6*f**2 - 39/10*f**6 - 57/4*f**4. Let p(b) = 0. What is b?
-1, -2/3
Let t(p) be the second derivative of -3*p**5/100 - 3*p**4/10 - 9*p**3/10 - 6*p**2/5 - 47*p. Suppose t(u) = 0. Calculate u.
-4, -1
Let -3*z**2 - 3/2 + 4*z + 1/2*z**4 + 0*z**3 = 0. What is z?
-3, 1
Let w(y) be the third derivative of -y**6/120 - y**5/20 + y**4 - 14*y**3/3 + 56*y**2. Determine f so that w(f) = 0.
-7, 2
Let o = 62 + -58. Let k be -1 + (0 - o/(8/(-2))). What is j in k*j - 1/3*j**4 - 2/3*j**3 - 1/3*j**2 + 0 = 0?
-1, 0
Factor 8/5*i + 1/5*i**4 - 2*i**2 + 9/5 - 8/5*i**3.
(i - 9)*(i - 1)*(i + 1)**2/5
Let t(c) be the third derivative of -1/1260*c**7 - 1/144*c**4 - 1/18*c**3 + 0*c + 6*c**2 + 1/720*c**6 + 1/120*c**5 + 0. Factor t(i).
-(i - 2)*(i - 1)*(i + 1)**2/6
Let l be (9/24)/((-25)/(-40)). Find n, given that 12/5*n**4 + 0*n - l*n**5 + 0 + 6/5*n**2 - 3*n**3 = 0.
0, 1, 2
Let m(r) be the first derivative of -r**5/20 + 9*r**4/16 - 7*r**3/4 + 19*r**2/8 - 3*r/2 - 56. Solve m(f) = 0.
1, 6
Let h(a) be the second derivative of -a**5/80 + 7*a**4/32 + a**3 + 21*a**2/2 + 29*a. Let u(o) be the first derivative of h(o). Factor u(v).
-3*(v - 8)*(v + 1)/4
Suppose 16 = -2*w + 6*w. Factor -4*x**2 - 16*x**3 + 4*x**3 + 5*x - 12*x**4 - 5*x - w*x**5.
-4*x**2*(x + 1)**3
Let a(s) be the third derivative of 0*s**4 + 0 + 0*s**3 + 0*s + 1/150*s**5 - 11*s**2. Find j, given that a(j) = 0.
0
Factor 24*y**2 + 2/7*y**3 + 672*y + 6272.
2*(y + 28)**3/7
Let h(q) be the second derivative of 0*q**3 - 5*q - 2*q**2 + 2/3*q**4 - 2/15*q**6 + 0*q**5 + 0. Factor h(b).
-4*(b - 1)**2*(b + 1)**2
Factor -50/11*d**3 + 478/11*d + 1180/11*d**2 + 48/11.
-2*(d - 24)*(5*d + 1)**2/11
Let v(c) = 3*c**2 + c. Let p be v(-1). Factor 4*k**p + 4*k**2 - 3*k**2 - 3 - 7 - 5*k.
5*(k - 2)*(k + 1)
Factor -3*c**4 + 18*c**3 - 358*c + 0*c**4 - 9 - 36*c**2 + 200*c + 188*c.
-3*(c - 3)*(c - 1)**3
Let c(n) be the second derivative of n**5/45 - 26*n**3/27 - 8*n**2/3 - 11*n - 4. Suppose c(s) = 0. Calculate s.
-3, -1, 4
Let d be (4/3)/(42/126). Let n(s) be the first derivative of 1/3*s + d + 1/6*s**3 - 1/30*s**5 + 5/12*s**2 - 1/24*s**4. Factor n(h).
-(h - 2)*(h + 1)**3/6
Let b(h) = h**4 - 16*h**3 + h**2 + 18*h - 2. Let z(y) = -y**4 - y**3 + 1. Let w(u) = 3*b(u) + 6*z(u). Suppose w(g) = 0. Calculate g.
-18, -1, 0, 1
Solve -9/8*o**2 + 1/8*o**5 + 15/8*o**3 + 0 - 7/8*o**4 + 0*o = 0.
0, 1, 3
Let r(m) be the first derivative of 13 + 1/4*m**4 + 1/15*m**5 + 0*m + 0*m**2 + 2/9*m**3. Determine b so that r(b) = 0.
-2, -1, 0
Let b(w) be the second derivative of w**4 - 16*w**3/3 + 8*w**2 + 3*w + 8. Find s such that b(s) = 0.
2/3, 2
Let o = 2/1769 - -1761/7076. Factor o*u - 1/2*u**2 - 1/4*u**5 + 0*u**3 + 1/2*u**4 + 0.
-u*(u - 1)**3*(u + 1)/4
Let q(c) be the third derivative of 0*c + 1/20*c**6 - 2 + 1/20*c**5 + 0*c**3 - 1/4*c**4 - 1/70*c**7 - 4*c**2. Factor q(j).
-3*j*(j - 2)*(j - 1)*(j + 1)
Let v = 23 + -16. Factor -v*f + 42*f - 10*f**2 - 5*f**3 - 25 + 5.
-5*(f - 1)**2*(f + 4)
Let a(r) be the second derivative of -r**5/4 + 10*r**3/3 + 3*r + 25. Find d, given that a(d) = 0.
-2, 0, 2
Let u(k) be the third derivative of k**8/28 + 13*k**7/105 + 2*k**6/15 + k**5/30 - 3*k**2 - 67*k. Solve u(r) = 0.
-1, -1/6, 0
Factor -104/3*q + 0 + 4/3*q**2.
4*q*(q - 26)/3
Let q(k) = 2*k + 8. Let m be q(-3). Factor 6*s**2 - 8*s + 2*s - 3*s**m - 4*s**2.
-s*(s + 6)
Suppose 21*d - 48 = 5*d. Let c(t) be the third derivative of 0 + 0*t + 1/40*t**5 - 1/240*t**6 + 0*t**4 - 1/3*t**d - 2*t**2. Factor c(o).
-(o - 2)**2*(o + 1)/2
Let o(c) = c + 8. Let w be o(-10). Let t = w + 5. Factor -j**t - j**2 + 2 - 2*j**2 + j**2 + j.
-(j - 1)*(j + 1)*(j + 2)
Let k = -663 + 1329/2. Let b(z) be the first derivative of k*z**4 - 5 + 3/5*z**5 + z**3 + 0*z**2 + 0*z. Factor b(w).
3*w**2*(w + 1)**2
Let d(b) be the first derivative of b**4/9 - 14*b**3/27 + 2*b**2/9 + 2*b/3 + 125. Determine f, given that d(f) = 0.
-1/2, 1, 3
Let a(z) be the third derivative of 5/3*z**3 + 1/24*z**6 + 1/3*z**5 + 25/24*z**4 - 30*z**2 + 0*z + 0. Factor a(q).
5*(q + 1)**2*(q + 2)
Factor 219/5*t**2 + 33/5*t**4 + 129/5*t**3 + 168/5*t + 3/5*t**5 + 48/5.
3*(t + 1)**3*(t + 4)**2/5
Let u(t) be the second derivative of -4*t**7/63 + 14*t**6/45 - 10*t**4/9 + 4*t**3/9 + 2*t**2 + 2*t - 1. Let u(l) = 0. What is l?
-1, -1/2, 1, 3
Let p + 27*p**2 - 56*p**2 - 12*p + 30*p**2 + 10 = 0. What is p?
1, 10
Let p(i) be the third derivative of -1/8*i**4 + 3*i**3 + 0 + 13*i**2 + 0*i - 3/5*i**5. Factor p(g).
-3*(3*g - 2)*(4*g + 3)
Let b(a) = -a**5 + a**3 + a**2 - a + 1. Let g(u) = -57*u**5 + 33*u**4 + 84*u**3 - 36*u**2 - 21*u - 9. Let l(j) = -6*b(j) - g(j). Solve l(q) = 0 for q.
-1, -1/3, -1/7, 1
Let p(s) be the second derivative of -s**6/30 + 3*s**5/20 - s**4/4 + s**3/6 - 62*s. Suppose p(v) = 0. What is v?
0, 1
Let n(m) = 13*m**3 - 15*m**2 - 9*m - 17. Let q(u) = 3*u**3 - 4*u**2 - 2*u - 4. Let j(y) = 2*n(y) - 9*q(y). Let g be j(6). Solve 0 + 1/5*p + 1/5*p**g = 0 for p.
-1, 0
Find r such that 0 - 12/7*r 