z**8/2520 + z**7/315 - z**6/108 + z**5/90 + 9*z**3/2 + 7*z. Let d(w) be the second derivative of r(w). Factor d(h).
-2*h*(h - 2)*(h - 1)**2/3
Suppose 8/5*r - 6*r**2 + 0 - 17/5*r**3 = 0. Calculate r.
-2, 0, 4/17
Factor -46*c**4 + 38*c**4 - 30*c**3 + 3*c**4.
-5*c**3*(c + 6)
Let w = 19 - 16. Let a(v) = -v**2 - 13*v + 7. Let m(j) = 6*j - 3. Let d(u) = w*a(u) + 7*m(u). Factor d(h).
-3*h*(h - 1)
Find d such that -6*d**3 - 2*d**2 - 48*d - 72 + 4*d**3 - 64*d**2 - d**3 + 3*d**4 - 84*d = 0.
-2, -1, 6
Let b be -1*((-9)/3 + 2). Suppose -2*w + h = -4 + 3, 0 = -5*w + 3*h + b. Factor w*l**3 + 3*l**2 - 20*l + 22*l - l**3.
l*(l + 1)*(l + 2)
Let x(u) = -u**3 + 6*u**2 - 3*u - 8. Let k be x(4). Suppose 4 = -q + 2*q. Determine j, given that j - k*j**3 + j - 5*j**4 + 5*j**4 + 3*j**2 + 7*j**q = 0.
-2/7, 0, 1
Let d(t) = -3*t**2 - 18*t - 22. Let k be (32/16)/((-3)/(-12)*-2). Let a be d(k). Solve 0*z + 1/3*z**4 - 1/3*z**a + 0 + 0*z**3 = 0.
-1, 0, 1
Let f(o) be the first derivative of o**8/168 - o**7/315 - o**6/60 + o**5/90 - 5*o**2/2 - 17. Let w(c) be the second derivative of f(c). What is b in w(b) = 0?
-1, 0, 1/3, 1
Let o(s) be the second derivative of 0 + 1/42*s**4 + 0*s**2 + 10*s - 2/21*s**3. Determine b, given that o(b) = 0.
0, 2
Let u(q) = -q**3 + 5*q**2 + 6*q + 2. Suppose 7*m + 6 = 8*m. Let b be u(m). Factor 3*g**b - 3*g**2 + 2*g**4 + 0*g**2 - 4*g**2 + 2.
2*(g - 1)**2*(g + 1)**2
Let f(v) = 3*v**4 - 294*v**3 - 295*v**2 - 6*v + 4. Let x(m) = -39*m**4 + 3822*m**3 + 3834*m**2 + 81*m - 54. Let j(p) = -27*f(p) - 2*x(p). Factor j(a).
-3*a**2*(a - 99)*(a + 1)
Suppose j = 5*j - 7100. Let t be j/10 + 1/2. Factor 2*n**3 - 100*n**2 - 90 + n**3 + 17*n + t*n + 12*n**3.
5*(n - 3)**2*(3*n - 2)
Let s be (500/15)/(-20)*-2. Let b(a) = -a**2 + 5*a - 4. Let k be b(3). Suppose -2 - 2/3*x**k + s*x - 2/3*x**3 = 0. Calculate x.
-3, 1
Suppose 7*z = -1 - 6. Let g be 1 - 2 - (z + -3). Factor -3/4*c**5 + 0 + 3/2*c**2 - 3*c**g - 1/4*c + 5/2*c**4.
-c*(c - 1)**3*(3*c - 1)/4
Let j(d) = -8*d**3 + 208*d**2 - 835*d - 7190. Let y(f) = -4*f**3 + 104*f**2 - 418*f - 3596. Let g(a) = 2*j(a) - 5*y(a). Let g(t) = 0. What is t?
-4, 15
Factor 41/7*p + 26/7 + 16/7*p**2 + 1/7*p**3.
(p + 1)*(p + 2)*(p + 13)/7
What is b in -5/2 - 55/4*b**2 + 65/4*b = 0?
2/11, 1
Let z = 6077 - 9817. Let d be (-2480)/z + 2/(-17). Suppose d*b**2 + 0*b - 8/11 + 2/11*b**3 = 0. Calculate b.
-2, 1
Let w(v) = v**3 - 5*v**2 - 236*v - 24. Let t be w(-13). Solve t*u**2 + 0 - 3/5*u + 6/5*u**4 - 12/5*u**3 - 1/5*u**5 = 0.
0, 1, 3
Let b(x) = 2*x**2 + 57*x + 58. Let t(i) = -2*i**2 - 56*i - 56. Let q(z) = -2*b(z) - 3*t(z). Find f, given that q(f) = 0.
-26, -1
Let x be 24 + -27 + ((-3)/1)/(-1). Let s(b) be the third derivative of 1/6*b**4 + 0*b**3 + 0*b + x - b**2 - 1/105*b**7 - 1/6*b**5 + 1/15*b**6. Factor s(h).
-2*h*(h - 2)*(h - 1)**2
Let i(a) = 2*a**2 + 10*a - 12. Let w be (-1 + (-1 - 1))/(21/42). Let x be i(w). Factor 0 - 1/7*d**2 + 0*d**3 + x*d + 1/7*d**4.
d**2*(d - 1)*(d + 1)/7
Factor -2/7*z**2 + 144/7*z - 2592/7.
-2*(z - 36)**2/7
Let u(r) = -r**2 - 3*r - 2. Let h(d) = 4*d**2 + 10*d + 6. Let k = -16 + 11. Let x = -26 - -10. Let a(c) = k*h(c) + x*u(c). Solve a(s) = 0 for s.
-1, 1/2
Let h = 141/2 + -70. Let x(i) be the first derivative of 2*i**2 + h*i**4 - 3 + 0*i - 2*i**3. Factor x(l).
2*l*(l - 2)*(l - 1)
Let f(i) be the third derivative of -i**7/21420 + 7*i**6/3060 - 49*i**5/1020 - 23*i**4/12 - 32*i**2. Let m(d) be the second derivative of f(d). Factor m(v).
-2*(v - 7)**2/17
Let u be 1 - (1037/136 + -8 - 83/(-72)). Factor -2/3*z + 2/9*z**2 - 4/9 + u*z**4 + 2/3*z**3.
2*(z - 1)*(z + 1)**2*(z + 2)/9
Let c(p) = -p**3 - 15*p**2 - 17*p + 18. Let u be c(-14). Factor -u*i**2 + 10*i**3 + 0*i**3 + 36*i + 18*i**3 - 4*i**4.
-4*i*(i - 3)**2*(i - 1)
Solve 10 + 4*k**3 - 50*k**2 + 284*k - 54*k**2 + 1 - 195 = 0 for k.
1, 2, 23
Suppose 3 = 2*q + 3*s, 2*q + 1082 - 1081 = s. Suppose q - 5/4*p**2 - 5*p**3 + 5/4*p**4 + 5*p = 0. Calculate p.
-1, 0, 1, 4
Let j be (35/105)/(((-3)/54)/(8/(-42))). Factor j*o - 8/7*o**3 + 4/7*o**4 - 16/7*o**2 + 12/7.
4*(o - 3)*(o - 1)*(o + 1)**2/7
Let d(q) be the second derivative of q**6/35 + 3*q**5/14 + 2*q**4/7 + 30*q. Factor d(b).
6*b**2*(b + 1)*(b + 4)/7
Let h be 1*(30/26 + 41/(-41)). Factor 0 - h*g**2 + 2/13*g.
-2*g*(g - 1)/13
Let o(w) be the first derivative of -1/12*w**4 + 1/9*w**3 + 0*w - 6 + 0*w**2. Let o(c) = 0. What is c?
0, 1
Suppose -4*l - w + 6*w + 412 = 0, 3*l - 309 = 4*w. Suppose 5*m = -93 + l. Solve 2/3*x**m + 4/3*x - 2 = 0.
-3, 1
Let b(h) be the first derivative of -h**4/2 - 14*h**3/3 + h**2 + 14*h + 154. Suppose b(y) = 0. Calculate y.
-7, -1, 1
Solve -678*w + 72138 + w**2 + 59839 - 17056 = 0.
339
Let a(u) be the first derivative of 19 - 1/3*u**3 + 1/16*u**4 - 1/2*u + 5/8*u**2. Factor a(x).
(x - 2)*(x - 1)**2/4
Let h(y) be the third derivative of -y**8/224 - 22*y**7/315 + 47*y**6/720 + 41*y**5/60 - 59*y**4/36 + 10*y**3/9 + 558*y**2. Let h(f) = 0. Calculate f.
-10, -2, 2/9, 1
Let t(o) = -o + 5. Let z be t(7). Let j be 90/(-35) - z/(-4)*-6. Solve -6/7*h**2 + 0*h**3 + 3/7 + j*h**4 + 0*h = 0.
-1, 1
Let z(u) be the first derivative of -u**6/9 + 2*u**5/15 - 44. Let z(q) = 0. Calculate q.
0, 1
Suppose 0 = 2*g - 26 + 16. Factor 0*f**2 - 8*f**2 - g*f**5 - 5*f + 10*f**3 - 2*f**2 + 20*f**4 + 5 - 15*f**4.
-5*(f - 1)**3*(f + 1)**2
Suppose 4*d - 32 + 24 = 0. Solve -2/5*a - 1/5*a**d + 0 = 0 for a.
-2, 0
Let u(n) be the third derivative of -n**6/300 + 13*n**5/150 - 19*n**4/60 - 11*n**3/5 - 72*n**2. Suppose u(c) = 0. Calculate c.
-1, 3, 11
Let u(g) be the second derivative of -2*g**6/45 + g**5/15 + 7*g**4/9 - 26*g**3/9 + 4*g**2 + 4*g - 19. Let u(l) = 0. What is l?
-3, 1, 2
Factor 1120*b**2 - 992/3*b - 686/3*b**4 + 32 - 1176*b**3.
-2*(b + 6)*(7*b - 2)**3/3
Let v be ((-1)/(-12))/((-25)/(-20)). Let n(k) be the first derivative of 5 - v*k**3 - 16/5*k + 4/5*k**2. Factor n(h).
-(h - 4)**2/5
Let m(z) be the first derivative of -2*z**3/3 - 8*z**2 - 24*z + 145. Factor m(n).
-2*(n + 2)*(n + 6)
Let p(q) = 2*q**2 - 173*q - 142. Let r(z) = -z**2 + 164*z + 143. Let y(j) = -2*p(j) - 3*r(j). Factor y(o).
-(o + 1)*(o + 145)
Let g = -6869 - -13741/2. Factor -g*p**3 + 3/2*p - 3*p**2 + 3.
-3*(p - 1)*(p + 1)*(p + 2)/2
Let 2/3*w**3 + 130/21*w - 116/21*w**2 - 4/3 = 0. Calculate w.
2/7, 1, 7
Let a(q) be the second derivative of q**6/10 - 99*q**5/20 + 31*q**4/4 + 33*q**3/2 - 48*q**2 + 661*q. Factor a(t).
3*(t - 32)*(t - 1)**2*(t + 1)
Let z(a) = -85*a**4 - 45*a**3 + 95*a + 60. Let r(i) = 2*i**4 + i**2 - 2*i - 2. Let h(m) = -25*r(m) - z(m). Suppose h(o) = 0. Calculate o.
-1, -2/7, 1
Suppose -20*t = -18*t. Let q(b) be the second derivative of t*b**3 + 2*b + 0 + 1/6*b**4 + 0*b**2 - 1/10*b**5. Factor q(l).
-2*l**2*(l - 1)
Let v(l) = -l**2 - 1. Let b(g) = 5*g**2 + 6. Let k(n) = b(n) + 6*v(n). Let f(d) = -8*d**2 + 8*d - 6. Let h(j) = f(j) - 6*k(j). Factor h(u).
-2*(u - 3)*(u - 1)
Let c(b) be the second derivative of -125*b**7/42 + 205*b**6/6 - 499*b**5/4 + 285*b**4/4 + 360*b**3 + 270*b**2 - 53*b. Let c(k) = 0. Calculate k.
-2/5, 3
Suppose 4*i = 2 + 10. Let n(j) be the second derivative of i*j + 0 - 1/3*j**3 + 0*j**2 + 1/20*j**5 + 1/12*j**4. Factor n(t).
t*(t - 1)*(t + 2)
Factor 84/5*m - 2/5*m**2 - 882/5.
-2*(m - 21)**2/5
Let m = 127/154 + 5/154. Let a = -73902 + 517316/7. Find p such that 8/7 - m*p - a*p**2 = 0.
-4, 1
Let f = -34 - -36. Factor 3*m**2 - 4*m**f + 4*m + 12 + 4*m**2 - 16*m.
3*(m - 2)**2
Find q such that 10/7*q**4 + 64/7*q - 24/7 - 64/7*q**3 + 2*q**2 = 0.
-1, 2/5, 1, 6
Let u = 73/471 - -28/157. Find z, given that 1/3*z**2 - u*z - 2/3 = 0.
-1, 2
Let w(q) be the third derivative of 0*q**3 + 0*q - 1/10*q**6 + 1/20*q**5 + 0*q**4 - 1/14*q**7 + 19*q**2 + 0. Factor w(x).
-3*x**2*(x + 1)*(5*x - 1)
Let q(z) be the third derivative of -z**6/40 + z**4/2 - 6*z**2 + z. Factor q(b).
-3*b*(b - 2)*(b + 2)
Let z(c) = -8*c**2 - 8*c - 5. Let o(y) = -y**2 + y. Let k(t) = 8*t + 3. Suppose -5 = m - 9. Let f(l) = m*o(l) - k(l). Let u(j) = 5*f(j) - 3*z(j). Factor u(h).
4*h*(h + 1)
Suppose -4*b + 260 = -3*q, -q + 3*b = -3*q - 196. Let k = 92 + q. Let -1/5*m**5 - 1/5*m**4 + 1/5*m**3 + 1/5*m**2 + k*m + 0 = 0. What is m?
-1, 0, 1
Let f(t) = -t**3 + 13*t**2 + 31*t + 20. Let p be f(15). Let w be 3 + (-2)/(50/p). Factor w*l + 0*l**2 + 0 - 2/5*l**4 - 6/5*l**3.
-2*l*(l - 1)*(l 