*y. Factor i(p).
-2*(p - 14)**2/21
Let f = 46 - 40. Let x(p) = -7*p**3 - 11*p**2 + p - 1. Let c(o) = -6*o**3 - 10*o**2 + o. Let y(t) = f*c(t) - 5*x(t). Factor y(l).
-(l - 1)*(l + 1)*(l + 5)
Suppose -2*t - 2*r - 2 = 0, -2*r - 4 = t - 0. Let 24/5*s + 2/5*s**3 + 12/5*s**t + 16/5 = 0. Calculate s.
-2
Suppose 0 = 2*q - 13 + 9. Find c, given that 7*c**3 - c + 13*c**3 - 21*c**3 + 2*c**q = 0.
0, 1
Let a(l) = 28*l**3 - 120*l**2 + 168*l - 24. Let o(c) = -27*c**3 + 121*c**2 - 167*c + 24. Let g(u) = 3*a(u) + 4*o(u). Factor g(k).
-4*(k - 3)*(k - 2)*(6*k - 1)
Let b(q) be the third derivative of -q**8/84 - q**7/210 + 2*q**6/15 + q**5/15 + 745*q**2. Find d, given that b(d) = 0.
-2, -1/4, 0, 2
Let d be ((-12)/10)/(1 + (-39)/30). Let c(n) be the first derivative of -2/33*n**3 + 4/11*n**2 + d - 8/11*n. Factor c(q).
-2*(q - 2)**2/11
Let j(v) be the first derivative of -v**6/45 + v**4/6 - 2*v**3/9 - 13*v + 10. Let g(z) be the first derivative of j(z). Factor g(k).
-2*k*(k - 1)**2*(k + 2)/3
Suppose 0 = 26*r - 5 - 73. Suppose 2/13*y**5 + 0*y**2 + 0 + 2/13*y + 0*y**4 - 4/13*y**r = 0. What is y?
-1, 0, 1
Suppose -q + 2*q - 5*f - 4 = 0, 0 = 4*q - f - 16. Solve q*d - 6*d**2 - 154 + 154 = 0 for d.
0, 2/3
Factor 10*c**2 - 7*c - 10 + 9*c - 3*c**3 - 7*c + 8*c**3.
5*(c - 1)*(c + 1)*(c + 2)
Let s(j) = -24*j - 96. Let b be s(-4). Let l(f) be the second derivative of 1/8*f**4 + b*f**5 - 1/60*f**6 + 5*f + 0*f**2 + 0 + 1/6*f**3. Factor l(k).
-k*(k - 2)*(k + 1)**2/2
Let c(g) = g**3 + 9*g**2 + 7*g - 6. Let r be c(-6). Suppose 0 = -4*z + r + 12. Factor 0*d + 0*d + z*d**2 + 2 - d - 19*d**2.
-(d - 1)*(d + 2)
Factor 21/8*j**3 + 144 - 503/4*j**2 + 1500*j.
(j - 24)**2*(21*j + 2)/8
Let m(d) be the first derivative of 0*d**2 + 4/65*d**5 + 0*d + 9 + 0*d**3 + 0*d**4 + 1/39*d**6. Factor m(u).
2*u**4*(u + 2)/13
Let l(m) = m**2 + m - 1. Let q = 12 - 18. Let w(o) = 9*o**2 + 10*o - 10. Let u(h) = q*l(h) + w(h). What is c in u(c) = 0?
-2, 2/3
Suppose 0 = -5*i + 3*j + 135, 10*j + 20 = 6*j. Factor -26*p**3 + i*p**3 + 72 - 24*p + 138*p**2 - 16*p**3 + 232*p.
-2*(p - 9)*(3*p + 2)**2
Let 7/6*q**4 - 2 - 26/3*q - 31/6*q**2 + 8/3*q**3 = 0. What is q?
-3, -1, -2/7, 2
Let x(j) be the first derivative of -j**3 + 3 + 8*j - 5/2*j**2. Let o(z) = -z**2 - 3*z + 4. Let k(c) = -14*o(c) + 6*x(c). Factor k(l).
-4*(l - 2)*(l - 1)
Let j(g) = -g. Let o(n) = -2*n**3 + 2*n**2 + 12*n - 8. Suppose -35*h = -33*h + 2. Let r(d) = h*o(d) - 4*j(d). Factor r(b).
2*(b - 2)*(b - 1)*(b + 2)
Let l = 182/3 + -60. Let i(t) be the first derivative of 6 + 0*t + l*t**2 + 2/9*t**3. Let i(r) = 0. Calculate r.
-2, 0
Let c = 29019 - 29017. Factor -2/11*s**c + 4/11*s + 0.
-2*s*(s - 2)/11
Let q = 14 - 19. Let f(j) = 10 - 3*j**2 - 8*j + 3*j - 2*j. Let z(v) = -2*v**2 - 5*v + 7. Let y(x) = q*f(x) + 7*z(x). Factor y(u).
(u - 1)*(u + 1)
Let g(d) = -5*d**3 + 2*d**2 + 3*d + 6. Let o(q) = 4*q**3 - q**2 - 4*q - 5. Let w(b) = -3*g(b) - 4*o(b). Let y be w(2). Let -1/2 + y*t + 1/2*t**2 = 0. What is t?
-1, 1
Let h(i) = -25*i**4 - 7*i**3 + 53*i**2 - 11*i + 5. Let p(y) = 26*y**4 + 6*y**3 - 54*y**2 + 10*y - 6. Let m(g) = -6*h(g) - 5*p(g). Factor m(w).
4*w*(w - 1)*(w + 2)*(5*w - 2)
Let b(j) be the second derivative of 25*j**7/147 - j**6 + 99*j**5/70 + 73*j**4/42 - 40*j**3/7 + 36*j**2/7 - 21*j + 1. Let b(k) = 0. Calculate k.
-1, 3/5, 2
Let i(w) = w**2 - 6*w - 5. Let y be i(7). Determine v so that -2*v - 2*v**y - 8 + v**2 + 3*v**2 - 4*v = 0.
-1, 4
Let z(d) be the third derivative of 0 + 0*d + 1/9*d**4 + 9*d**2 + 1/90*d**5 + 0*d**3. Find k such that z(k) = 0.
-4, 0
Suppose 43*o - 75 = 18*o. Let m(u) be the second derivative of -5/24*u**o + 4*u - 1/30*u**6 + 1/4*u**2 + 1/20*u**5 + 0 + 1/24*u**4 + 1/168*u**7. Factor m(y).
(y - 2)*(y - 1)**3*(y + 1)/4
Let i(p) be the first derivative of 6/5*p**3 + 24/5*p - 3/20*p**4 - 17 - 18/5*p**2. Solve i(j) = 0.
2
Let o(y) = -4*y**4 + 27*y**3 + 54*y**2 - 26*y - 72. Let t(g) = g**4 - 9*g**3 - 18*g**2 + 8*g + 24. Let i(s) = 2*o(s) + 7*t(s). Let i(c) = 0. Calculate c.
-6, -2, 1
Let u = 143/2790 + 2/465. Let p(s) be the third derivative of 0 - u*s**3 - 1/60*s**5 + 0*s + 2*s**2 - 1/24*s**4 - 1/360*s**6. Factor p(d).
-(d + 1)**3/3
Let x(i) = -i**2 - 6*i - 1. Let w(d) = -6*d + 7. Let v be w(2). Let r be x(v). Let 7*j + 51*j**2 + 20*j + 24*j**3 - 3*j**2 + 4*j**r + 5*j = 0. Calculate j.
-2, 0
Let l(d) = 14*d**2 + 136*d + 114. Let b(i) = -5*i**2 - 49*i - 38. Let k(g) = -17*b(g) - 6*l(g). Let k(v) = 0. What is v?
-19, 2
Let y(b) = b**3 - 4*b**2 - 37*b + 114. Let j be y(7). Solve -64/3 - 4/3*c**j + 32/3*c = 0 for c.
4
Let z(i) be the third derivative of -i**7/630 - i**6/36 - 11*i**5/60 - i**4/2 - 181*i**2. Factor z(b).
-b*(b + 3)**2*(b + 4)/3
Suppose 4*i - 39 = i. Suppose o + n - 38 = 0, 2*o - 3*n = i + 48. Factor -4*g - 18*g**2 - 3 + 10*g - 20*g**2 + o*g**2.
-3*(g - 1)**2
Let k(f) = -62*f**4 - 398*f**3 - 400*f**2 - 88*f - 8. Let q(r) = 21*r**4 + 133*r**3 + 133*r**2 + 30*r + 3. Let i(w) = 3*k(w) + 8*q(w). Factor i(j).
-2*j*(j + 1)*(j + 6)*(9*j + 2)
Let d(b) be the first derivative of 1/2*b**3 - 1/2*b**2 + 0*b + 5 - 1/8*b**4. Determine j so that d(j) = 0.
0, 1, 2
Let v = 24 - 22. Let -15 - 21*c**2 + 5 + 5*c + 61*c**v + 10*c + 15*c**3 = 0. What is c?
-2, -1, 1/3
Factor -2*u**2 + 1/6*u**5 + 1/2*u**4 + 0*u + 0 - 2/3*u**3.
u**2*(u - 2)*(u + 2)*(u + 3)/6
Let d(m) = -m**3 + 12*m**2 - 11*m + 3. Suppose -3*o - i + 0 + 32 = 0, -2*i - 24 = -2*o. Let f be d(o). Factor 14 + f*w**2 - 3*w**5 + 9*w**4 - 14 - 9*w**3.
-3*w**2*(w - 1)**3
Let 6*h**4 + 66/7*h**2 + 16/7*h + 88/7*h**3 + 0 + 4/7*h**5 = 0. What is h?
-8, -1, -1/2, 0
Let q(m) = -m**3 - 66*m**2 - 186*m + 192. Let n be q(-63). Factor -2*z**2 + 3/4*z**n - 1/2 + 7/4*z.
(z - 1)**2*(3*z - 2)/4
Let s(q) be the second derivative of 1/35*q**5 + 2/147*q**7 - 4/105*q**6 - 3*q + 0*q**3 + 0*q**4 + 0*q**2 + 0. Factor s(v).
4*v**3*(v - 1)**2/7
Let s(c) = c**2 + c + 1. Let k(h) = h**2 - 31*h - 35. Let a(o) = -k(o) - 3*s(o). Let a(g) = 0. Calculate g.
-1, 8
Let w(c) = 7*c**2 - 45*c + 144. Let t(h) be the second derivative of 3*h**4 - 112*h**3/3 + 360*h**2 + 33*h. Let b(o) = -3*t(o) + 16*w(o). Factor b(a).
4*(a - 6)**2
Let x(d) be the first derivative of 1/22*d**4 + 5 + 8/11*d - 2/11*d**3 + 0*d**2. Factor x(m).
2*(m - 2)**2*(m + 1)/11
Solve 46/21*j**3 - 12/7 + 130/7*j + 272/21*j**2 = 0 for j.
-3, 2/23
Let o = -5 + -1. Let b be -2*15/o + -1. Let 9*p - 9*p**3 - 3*p**2 + 6 - p**2 + p**2 - 3*p**b = 0. Calculate p.
-2, -1, 1
Let y be (3/(-12)*26)/((-24)/16). Let u(d) be the second derivative of 3*d - 2/3*d**4 - 3*d**2 + 0 - y*d**3. Suppose u(j) = 0. What is j?
-3, -1/4
Let v be 4/((-12)/(-9)) - 1. Factor b**2 - 3*b**2 + 9*b + 3*b**2 - 4*b**v.
-3*b*(b - 3)
Let x(o) = -3*o**2 - 259*o - 5813. Let l(n) = 12*n**2 + 1035*n + 23253. Let i(m) = -5*l(m) - 21*x(m). Factor i(f).
3*(f + 44)**2
Let f(k) = k**3 + k**2 + 1. Let v be f(0). Let m be 0/(-2 - (-3)/v). Factor -l**2 + 0*l - 3*l**3 + m - 9/4*l**4.
-l**2*(3*l + 2)**2/4
Let s = -10/49 - -1422/245. Let 76/5*j**2 + 24/5*j - s*j**3 + 0 = 0. What is j?
-2/7, 0, 3
Suppose 19 = s + 5*w, -2*s - 15*w + 12*w = -17. Factor q - q**3 - 1/2*q**2 + 1/2*q**s + 0.
q*(q - 2)*(q - 1)*(q + 1)/2
Let l(i) = -i**3 + 5*i**2 - i + 9. Let r be l(5). Determine d, given that -68*d**r + 2 + 5 + 75*d**2 - 2 + 40*d**3 - 12*d**4 - 40*d = 0.
-1, 1/4, 1
Let s = 30021/4 + -7505. Solve -3/4*o**3 - 1/2*o**4 + o + 0 + o**2 + s*o**5 = 0 for o.
-1, 0, 2
Solve -27/5*f**2 - 3/5*f**3 - 72/5*f - 48/5 = 0.
-4, -1
Suppose x = s, 0 = 2*s - s - 2*x + 4. Factor 165*h**2 - 73*h**3 + 143*h**3 - 2 - 560*h + 322 + 5*h**s.
5*(h - 1)**2*(h + 8)**2
Solve 2/19*q**4 + 0 - 30/19*q**3 - 2/19*q**2 + 30/19*q = 0 for q.
-1, 0, 1, 15
Factor 12/17*n**2 + 2/17*n**4 + 10/17*n**3 + 0 + 0*n.
2*n**2*(n + 2)*(n + 3)/17
Let s(g) be the first derivative of -g**3/18 - 85*g**2/6 - 7225*g/6 - 61. Factor s(z).
-(z + 85)**2/6
Determine w so that -6*w**4 - 48*w**2 + 24*w**3 + 3/5*w**5 - 96/5 + 48*w = 0.
2
Let l = -2693/2 - -1347. Determine p so that 1/4*p**2 + 1/4*p**4 + 0 - l*p**3 + 0*p = 0.
0, 1
Let y(z) be the first derivative of 5*z**2 + 1/2*z**5 - 25/8*z**4 + 7 + 5*z**3 - 20*z. Find c such that y(c) = 0.
-1, 2
Factor -16/3 + 14/3*s + 2/3*s**2.
2*(s - 1)*(s + 8)/3
Factor 36 - 22*h - 28*h - 5*h**2 - 97 + 15 + 1.
-5*(h + 1)*(h + 9)
Let a(i) = -22*i**