 44*l**2 - 36*l - 56. Let h(t) = 3*d(t) - 12*n(t). Solve h(a) = 0 for a.
-4, -2, 1
Let i(r) be the first derivative of -4*r**3/3 + 10*r**2 + 56*r - 134. Find k such that i(k) = 0.
-2, 7
Let m = 54 - 52. Suppose -4*w + 8 = -m*w. Factor d**2 + 0 + 1/3*d**w - 1/3*d - d**3.
d*(d - 1)**3/3
Let k(h) be the third derivative of -h**5/10 + 4*h**4/3 + 4*h**3 + 191*h**2 - 2. Factor k(s).
-2*(s - 6)*(3*s + 2)
Let s(p) be the second derivative of p**7/42 + p**6/24 - 5*p**5/12 + 5*p**4/8 + 6*p**2 + 14*p. Let m(x) be the first derivative of s(x). Factor m(n).
5*n*(n - 1)**2*(n + 3)
Let f = -189 + 195. Let s(a) be the second derivative of -1/60*a**5 + 1/12*a**4 + 1/18*a**3 - 3*a - 1/90*a**f + 0 - 1/3*a**2. Determine y, given that s(y) = 0.
-2, -1, 1
Let g = 2089/3 - 696. Solve 0*x**2 - 1/6*x**4 + 1/3*x**3 + 1/6 - g*x = 0 for x.
-1, 1
Let d(q) be the second derivative of q**4/4 + 11*q**3/2 + 36*q**2 + 22*q. Suppose d(k) = 0. Calculate k.
-8, -3
Let u = 1592 + -1590. Factor -16/9 - 4/3*a**u - 8/3*a - 2/9*a**3.
-2*(a + 2)**3/9
Find b, given that -28*b**2 + b**5 + 768*b**3 - 48*b + 92*b**2 - 792*b**3 = 0.
-6, 0, 2
Let o = 291/56 + -37/8. Suppose -6730*u + 10 = -6725*u. Let -2/7*r + o - 2/7*r**u = 0. Calculate r.
-2, 1
Let d**2 + 845 + 60*d - 71 + 126 = 0. What is d?
-30
Factor 100/7*q + 4/7*q**2 + 0.
4*q*(q + 25)/7
Let w(m) be the first derivative of 0*m**2 - 4*m**3 + 0*m + 40 + 3/8*m**4. Let w(l) = 0. Calculate l.
0, 8
Let u(p) = 20*p**2 + 2*p + 9*p + 33*p + 16. Let b(g) = 7*g**2 + 15*g + 5. Let m(c) = -8*b(c) + 3*u(c). Factor m(o).
4*(o + 1)*(o + 2)
Let f(k) = 8*k**4 + 22*k**3 + 18*k**2 + 6*k + 2. Let m(h) = -33*h**4 - 89*h**3 - 72*h**2 - 25*h - 9. Let u(l) = -18*f(l) - 4*m(l). Suppose u(j) = 0. What is j?
-2, -1, -1/3, 0
Let z(j) = 2*j + 9. Let l be z(23). Suppose 0*d - 120 = -3*d. Factor -37*h**2 + 30*h - 49 + 12*h**2 - l*h**3 + 25*h + 34 + d*h**4.
5*(h - 1)**2*(h + 1)*(8*h - 3)
Let 6*w**3 - 19*w**2 + 3*w**4 + 13*w**2 + 3*w**3 - 6*w**2 = 0. What is w?
-4, 0, 1
Let q(d) be the first derivative of d**6/9 - 17*d**5/5 + 11*d**4/6 + 76*d**3/9 - 4*d**2 - 25*d/3 + 415. Suppose q(x) = 0. Calculate x.
-1, -1/2, 1, 25
Let n(h) be the second derivative of h**7/168 - 7*h**6/120 + h**5/8 + h**4/24 - 11*h**3/24 + 5*h**2/8 + 533*h. Find k such that n(k) = 0.
-1, 1, 5
Let y(t) = -3*t**2 + 3*t. Let l be (-3)/(-3)*(0 + 3). Let d(k) = -10*k + 7*k**2 + 0*k**2 + l*k. Let p(j) = 4*d(j) + 10*y(j). Factor p(b).
-2*b*(b - 1)
Let l(m) be the first derivative of -49*m**6/30 + 7*m**5/5 + 111*m**4/20 + 29*m**3/15 + m**2/5 + 325. Find g such that l(g) = 0.
-1, -1/7, 0, 2
Let h(l) = -l**2 - 11*l + 7. Let t be h(-11). Suppose t*f - 9*f = -10. Suppose -3*i**4 - f*i**3 + 2*i**3 + 14*i**2 - 6 + 0*i**3 + 3*i - 5*i**2 = 0. What is i?
-2, -1, 1
Let r(g) be the second derivative of -g**6/70 + 3*g**5/20 + g**4 + 10*g**3/7 - 227*g. Let r(t) = 0. What is t?
-2, -1, 0, 10
Let c(o) = 6*o**5 - 4*o**4 + 14*o**3 + 3*o**2 + 7*o - 7. Let q(j) = -5*j**5 + 4*j**4 - 13*j**3 - 4*j**2 - 6*j + 6. Let w(r) = -6*c(r) - 7*q(r). Factor w(y).
-y**2*(y - 2)*(y + 1)*(y + 5)
Let u(h) = 3*h**2 - 35*h - 9. Let x be u(12). Let q(g) be the third derivative of -1/600*g**6 + 0*g**4 + 1/300*g**5 + 0 + 0*g + 0*g**x - g**2. Factor q(b).
-b**2*(b - 1)/5
Let z(f) = f**2 - 26*f + 71. Let g be z(23). Factor 17*o**g + 10*o**3 - 13*o**2 + 2*o**5 + 2*o**5 - 2*o**5 + 8*o**4.
2*o**2*(o + 1)**2*(o + 2)
Determine x, given that 4*x + 0 + 7*x**2 - x**2 + 0 + 2*x**3 = 0.
-2, -1, 0
Let v(z) be the first derivative of z**4/12 - 4*z**3/9 - 7*z**2/6 + 10*z/3 + 1036. Determine g so that v(g) = 0.
-2, 1, 5
Factor -2/17*g + 2/17*g**3 + 48/17 - 48/17*g**2.
2*(g - 24)*(g - 1)*(g + 1)/17
Let p = -289 + 293. Let x(b) be the third derivative of 0*b**p + 0 - 1/35*b**7 + 0*b - 1/112*b**8 + 0*b**5 - 1/40*b**6 - 11*b**2 + 0*b**3. Factor x(s).
-3*s**3*(s + 1)**2
Let w be (-5)/10*2 - -3. Suppose 18 = w*t + 10. Determine i, given that -2/5*i + 2/5*i**3 + 2/5*i**t - 6/5*i**2 + 4/5 = 0.
-2, -1, 1
Let t(m) be the first derivative of 2/3*m + 16/9*m**3 - 2*m**2 - 41. Solve t(s) = 0 for s.
1/4, 1/2
Suppose -4 = 3*s + 3*g - 19, -2*s + 3*g + 5 = 0. Suppose -2*f - 2*v = -14, -v + 32 = 4*f + s*v. Factor -2/9*j**5 + 2/9 + 2/9*j**4 + 4/9*j**f - 2/9*j - 4/9*j**2.
-2*(j - 1)**3*(j + 1)**2/9
Let u(l) be the second derivative of -l**4/48 + 77*l**3/4 - 53361*l**2/8 + 636*l. Find q, given that u(q) = 0.
231
Let l(p) be the third derivative of -p**8/5040 - p**7/840 - p**6/540 - 5*p**3/3 - 5*p**2. Let t(v) be the first derivative of l(v). Factor t(g).
-g**2*(g + 1)*(g + 2)/3
Suppose -123 = -68*o + 81. Factor 0*s**2 + 2/7*s - 4/21 - 2/21*s**o.
-2*(s - 1)**2*(s + 2)/21
Let h(p) = -4*p**2 + 5*p - 3. Let s(a) = a**2 - a + 1. Let i = -8 - -10. Suppose -i*q = q - 3. Let c(w) = q*h(w) + 3*s(w). Factor c(b).
-b*(b - 2)
Let j(y) be the second derivative of y**5/10 + 11*y**4/6 + 85*y. Determine h, given that j(h) = 0.
-11, 0
Let t(u) be the third derivative of u**6/480 + 3*u**5/10 + 455*u**4/32 + 1225*u**3/12 - 35*u**2 - 7*u. Find v such that t(v) = 0.
-35, -2
Solve -8/11 - 32/11*s - 2/11*s**5 - 50/11*s**2 - 38/11*s**3 - 14/11*s**4 = 0.
-2, -1
Let f(d) = -d**2 - 5*d + 3. Let w be f(-5). Suppose -6*z**w + 5*z**4 + z**3 - 10*z**4 = 0. What is z?
-1, 0
Let k(y) be the third derivative of -y**8/336 - y**7/84 - y**6/72 + 3*y**3 - 11*y**2. Let g(w) be the first derivative of k(w). Let g(o) = 0. What is o?
-1, 0
Solve 8/3*k**2 + 0 + 0*k + 16/3*k**3 + 2/3*k**4 - 2*k**5 = 0 for k.
-1, -2/3, 0, 2
Let i be (-11)/(-44)*0 - 1 - 14/(-6). Solve -5*g**4 - 7/6*g**5 - 29/6*g**3 + i + 11/3*g**2 + 6*g = 0.
-2, -1, -2/7, 1
Let o = -23827200/6293 + -242/899. Let q = 3802 + o. Find b such that -216/7*b + q*b**2 + 162/7 + 2/7*b**4 - 24/7*b**3 = 0.
3
Let a(f) be the third derivative of 0*f**3 + 0*f + 0 + 13*f**2 - 1/240*f**5 + 1/96*f**4. Find i such that a(i) = 0.
0, 1
Let p be 240/88*66/84. Determine f, given that -3*f + 6/7 + p*f**2 = 0.
2/5, 1
Let s(t) be the third derivative of -t**5/120 + 11*t**4/12 - 3*t**2 + 49*t. Let s(r) = 0. What is r?
0, 44
Let v = -3234 - -16178/5. Factor -v + 4/5*b**3 - 12/5*b + 0*b**2.
4*(b - 2)*(b + 1)**2/5
Let r(t) = -t**3 + 4*t**2 + t + 23. Let w be r(5). Suppose 3*q = 5*y + 20, -w*y - 7 - 5 = 4*q. Let -3/4*z + 3/4*z**2 + q = 0. What is z?
0, 1
Factor 24*x - 3/7*x**2 - 336.
-3*(x - 28)**2/7
Factor 0 - 158/7*n**4 - 450/7*n**3 + 108/7*n - 18/7*n**5 - 54*n**2.
-2*n*(n + 3)**3*(9*n - 2)/7
Let j(g) = -6*g**2 + g**2 + 4*g**3 + 0*g**3 + g**2 + 4 - 4*g. Let n(u) = -u**3 + u. Suppose 2*o + 0 = 2. Let f(t) = o*j(t) + 2*n(t). Factor f(p).
2*(p - 2)*(p - 1)*(p + 1)
Let x(h) be the second derivative of -2/105*h**6 + 0*h**3 + 1/147*h**7 + 14 + 0*h**2 + 2*h + 4/21*h**4 - 2/35*h**5. Let x(k) = 0. What is k?
-2, 0, 2
What is m in -12*m**3 - 18*m + m**4 + m**4 + 26*m**2 + 8 - 6*m + 0 = 0?
1, 2
Let r(o) = -10*o**3 + 25*o**2 + 20*o + 30. Let x(l) = -49*l - 57*l + 105*l + 1 - l**3. Let f(s) = r(s) - 15*x(s). Let f(i) = 0. What is i?
-3, -1
Suppose 8*n - 150 = 330. Let a be (-1)/(-4) + (2 - 111/n). Suppose -2/5*t**3 + a - 6/5*t + 6/5*t**2 = 0. What is t?
1
Let b(c) = -c**3 + 6*c**2 - 3*c. Let d be b(5). Let v = d + -8. Solve 3*g - 6*g**4 + 16*g**5 + 5*g**2 + g**v - 19*g**5 = 0.
-1, 0, 1
Let w(i) = -i**3 + 7*i**2 - 4*i - 4. Let m be w(6). Let 77*h - 65*h - 21*h**2 + m + h**2 = 0. Calculate h.
-2/5, 1
Let a(u) = -125*u**3 - 140*u**2 - 125*u. Let p(t) be the third derivative of -3*t**6/40 - t**5/6 - 3*t**4/8 + t**2. Let o(w) = 4*a(w) - 55*p(w). Factor o(z).
-5*z*(z + 1)**2
Let a be 115 + -122 - 3/(-9)*22. Factor a*f**2 + 0 + 1/2*f - 1/6*f**3.
-f*(f - 3)*(f + 1)/6
Let x(g) be the first derivative of g**5/10 + g**4/16 - g**3/4 - g**2/8 + g/4 + 286. Find r, given that x(r) = 0.
-1, 1/2, 1
Let b(c) = -c**3 - 6*c**2 + 2. Let a be b(-6). Suppose 0 = -m + 2*u + 10, -u = -2*m + a + 6. Factor -2*r + 2*r - r - 2*r**m + r**2.
-r*(r + 1)
Suppose 186 = -5*w + 586. Let i = -32 + w. Factor k - 4*k - 45*k**2 + i*k**2.
3*k*(k - 1)
Let a(z) be the second derivative of 0*z**2 - 2/3*z**4 + 4/3*z**3 + 0 - 1/10*z**5 + 29*z + 1/15*z**6. Let a(v) = 0. What is v?
-2, 0, 1, 2
Let m = 254 + -437. Let r = -181 - m. Let 0 + 0*l**r - 3/5*l**4 + 0*l - 6/5*l**3 + 3/5*l**5 = 0. Calculate l.
-1, 0, 2
Let o = -32465 - -162327/5. Let -6/