**4/24 - c**3 - 38. Let g(m) be the third derivative of r(m). Suppose g(y) = 0. What is y?
7
Let y(r) = -r**3 + r**2 + r. Let q(v) = 10*v**3 - 82*v**2 - 10*v + 76. Let z(d) = q(d) + 6*y(d). Factor z(w).
4*(w - 19)*(w - 1)*(w + 1)
Let x(q) be the first derivative of -4*q**3/3 - q - 32. Let i(d) = -5*d**2 + d - 2. Let b(m) = -5*i(m) + 6*x(m). Solve b(a) = 0.
1, 4
Let z(b) be the first derivative of 3*b**4/4 - 13*b**3 + 105*b**2/2 + 147*b - 39. Factor z(g).
3*(g - 7)**2*(g + 1)
Let y(x) be the second derivative of -2*x**6/15 - 21*x**5/5 - 33*x**4 - 90*x**3 - 233*x. Solve y(j) = 0.
-15, -3, 0
Let l(f) be the third derivative of f**6/660 + 2*f**5/165 - 19*f**4/132 + 14*f**3/33 - 107*f**2. Factor l(v).
2*(v - 2)*(v - 1)*(v + 7)/11
Let o(w) be the second derivative of 1/7*w**3 + 1/105*w**6 + 1/42*w**4 - 2/7*w**2 - 20*w + 0 - 3/70*w**5. Factor o(k).
2*(k - 2)*(k - 1)**2*(k + 1)/7
Factor -6*d**2 + 49 + 21/2*d + 1/2*d**3.
(d - 7)**2*(d + 2)/2
Let h(i) be the second derivative of i**5/5 + 11*i**4/3 + 16*i**3 - 245*i. Suppose h(v) = 0. Calculate v.
-8, -3, 0
Suppose 7*r + 3*v = 6*r - 9, -5*v - 15 = -3*r. Let q(z) be the third derivative of 0*z**3 + r*z**4 + 0 - z**2 + 0*z - 1/180*z**6 + 1/90*z**5. Solve q(i) = 0.
0, 1
Suppose 27 = u + 8*u. Factor -5*j**2 + j - 6*j - u*j + j**2 + 12.
-4*(j - 1)*(j + 3)
Let z be (-188)/(-342) - 41*44/17138. Find d, given that 2/3*d**3 + 0 - 2/9*d + 10/9*d**4 - 2/9*d**2 + z*d**5 = 0.
-1, 0, 1/2
Let k(d) be the first derivative of -2*d**4 + 2*d**3/3 + d**2/2 - 6. Let l be k(-1). Factor 3*t**2 + 5*t**3 - 3*t**3 + t**3 - l*t**2.
3*t**2*(t - 2)
Let a(u) be the third derivative of -u**6/120 + u**5/15 - u**4/8 + 10*u**2 + u. Suppose a(b) = 0. What is b?
0, 1, 3
Let l = 0 + 10. Let w be l/6 + (-21)/(-63). Solve -w + 16*u - 10*u**2 - 5*u + 4*u**3 - 3*u**2 = 0.
1/4, 1, 2
Suppose 12/5 + 2/5*k**3 - 2*k - 4/5*k**2 = 0. What is k?
-2, 1, 3
Suppose -5*o + 7 = m - 1, 0 = 4*o + 5*m + 2. Factor 8/19*f**o + 4/19 - 2/19*f**3 - 10/19*f.
-2*(f - 2)*(f - 1)**2/19
Suppose -5*j + 4 + 2 = 4*i, 2 = -2*i - 5*j. Suppose -5*p + 7 = -i*g, 2 = 4*g - 4*p + 6. What is v in -2/3*v**g + 4/3 - 2/3*v = 0?
-2, 1
Let w(g) be the third derivative of 0 - 2/57*g**4 + 0*g - 47*g**2 + 1/570*g**5 + 16/57*g**3. Solve w(z) = 0.
4
Let z(f) = -163*f + 981. Let b be z(6). Factor 2*q + b + 1/3*q**2.
(q + 3)**2/3
Let m(j) be the third derivative of -j**7/70 + j**6/20 - j**4/4 + j**3/2 + 47*j**2. Let m(a) = 0. What is a?
-1, 1
Let z(n) be the first derivative of 5*n**6/6 + 4*n**5 - 15*n**4 - 320*n**3/3 - 160*n**2 - 223. Factor z(t).
5*t*(t - 4)*(t + 2)**2*(t + 4)
Suppose 20*f - 995 = 25*f. Let i = 201 + f. What is a in 4/3*a**4 + 2*a**3 - 2*a - 2/3 - 2/3*a**i = 0?
-1, -1/2, 1
Let d = 2/3635 + -639778/32715. Let y = d - -1340/63. Determine m, given that 4/7*m**3 + 0 + 8/7*m - y*m**2 = 0.
0, 1, 2
Find j, given that -4 + 0 + 40*j + 4 - 366*j**3 + 368*j**3 - 42*j**2 = 0.
0, 1, 20
Let j = 60/17 - 95/51. Let n be (-952)/(-102)*2/7. Solve 7/3*a**3 - n*a + 1/3*a**5 + 4/3 - j*a**4 + 1/3*a**2 = 0 for a.
-1, 1, 2
Let w(d) = -60*d**2 + 115*d - 180. Let s(x) = -3*x**2 + x - 1. Let i(z) = 15*s(z) - w(z). Factor i(h).
5*(h - 3)*(3*h - 11)
Suppose 4 + 2 = -2*b. Let i be (b - -3) + 2 - -2. Factor -2*a**4 - i*a**3 + 0*a**4 + 4*a**2 + 0*a**3 - 6*a**2.
-2*a**2*(a + 1)**2
Let x(p) = -9*p**2 + 82*p + 5. Let b(i) = -4*i**2 + 42*i + 2. Let z(q) = -5*b(q) + 2*x(q). Factor z(r).
2*r*(r - 23)
Let r(f) be the second derivative of f**6/90 + 2*f**5/15 + 2*f**4/3 + 16*f**3/9 + 8*f**2/3 + 58*f + 1. Factor r(d).
(d + 2)**4/3
Let z(x) be the first derivative of -x**3/7 - 3*x**2/2 - 18*x/7 + 367. Factor z(t).
-3*(t + 1)*(t + 6)/7
Let y(s) = -3*s + 14. Let d be y(4). Solve -52*k - 293 + 13 - 58 - d*k**2 = 0.
-13
Let n(r) = r - 2. Let p be n(6). Let k(b) = -b**3 - 5*b**2 + 20*b + 16. Let f(g) = 4*g**3 + 15*g**2 - 60*g - 49. Let q(c) = p*f(c) + 11*k(c). Factor q(o).
5*(o - 2)*(o + 1)*(o + 2)
Let t(c) be the third derivative of -c**7/945 - c**6/9 - 419*c**5/135 + 155*c**4/9 - 961*c**3/27 - 368*c**2. Determine k, given that t(k) = 0.
-31, 1
Let r be 24/(-16) - (-1)/6*-3. Let k be (2/(-6))/(r*(-4)/(-48)). Factor 2*g**k + 2*g + 1/2*g**3 + 0.
g*(g + 2)**2/2
Let o(n) = -23*n - 457. Let h be o(-20). Factor -6/7*l + 0 + 6/7*l**h + 0*l**2.
6*l*(l - 1)*(l + 1)/7
Let a = 35233/41097 - 1/5871. Suppose -2/7*m**3 - 6/7*m - 2/7 - a*m**2 = 0. What is m?
-1
Determine q so that 96/11 - 570/11*q**3 + 1128/11*q + 1992/11*q**2 = 0.
-2/5, -2/19, 4
Let o(m) = 2*m**2 - 6*m - 5. Let t be o(4). Factor -16*c + 5*c**t - 3*c**3 + 15*c - c**5.
-c*(c - 1)**2*(c + 1)**2
Suppose 0*g = 5*q + g - 96, 5*q = 3*g + 112. Factor 0*f + 0*f + 5*f**3 + 0 + q - 20*f**2 - 5*f.
5*(f - 4)*(f - 1)*(f + 1)
Let v = 10 + -9. Let m(d) = -3*d**2 + 4 - v + 2*d**2 - 2. Let p(b) = -5*b**2 + 4*b + 1. Let g(n) = 6*m(n) - 2*p(n). Factor g(q).
4*(q - 1)**2
Let o be (5/4)/(13/2184). Let b be 3/7 - (36/o)/6. Solve 0*a**2 - b*a**3 + 0*a + 0 = 0 for a.
0
Let h(t) be the first derivative of -11*t**6/18 + 5*t**5 - 151*t**4/12 + 113*t**3/9 - 3*t**2 - 8*t/3 - 8. Let h(v) = 0. Calculate v.
-2/11, 1, 4
Let j(u) be the third derivative of u**5/12 + 25*u**4/24 - 20*u**3 + 2*u**2 - 23*u. Find a such that j(a) = 0.
-8, 3
Let k(p) = -p**3 - 9*p**2 + p + 11. Let i be k(-9). Suppose -19 + 4*q**3 + 12*q**i + 23 + 15*q - 3*q = 0. What is q?
-1
Let j = 7 - 5. Factor -20*f**2 - j*f**2 + f**5 - 7*f**4 + 7*f - 3 + 6*f + 0*f**5 + 18*f**3.
(f - 3)*(f - 1)**4
Let m(h) = -8*h**3 - 40*h**2 + 62*h - 38. Let z(k) = -2*k**3 - k - 1. Let g(n) = -m(n) + 6*z(n). Solve g(d) = 0 for d.
1, 8
Let m = 493 - 486. Let y(z) be the first derivative of -8*z + 2/3*z**3 + 0*z**2 - m. Factor y(h).
2*(h - 2)*(h + 2)
Let x = 308 - 302. Let o(g) be the first derivative of -27/4*g**2 + 6 + 27/4*g**x + 3/2*g - 81/10*g**5 - 27/4*g**4 + 13*g**3. Determine q, given that o(q) = 0.
-1, 1/3, 1
Let n(l) be the second derivative of -5/12*l**4 - 4*l + 10/3*l**3 - 10*l**2 + 0. Factor n(j).
-5*(j - 2)**2
Let a(b) be the second derivative of b**5/150 + b**4/30 + b**3/15 + 17*b**2 - 2*b + 8. Let u(f) be the first derivative of a(f). Find g, given that u(g) = 0.
-1
Let f be -9 - (2 - (2 + -2)). Let x = -7 - f. Factor 4*c**3 + 3*c**2 - x*c**3 - 3*c**3.
-3*c**2*(c - 1)
Let r(m) be the first derivative of -m**3/3 - 5*m**2 - 9*m - 886. Factor r(i).
-(i + 1)*(i + 9)
Let i(c) be the second derivative of -c**9/1512 + c**8/840 + c**7/420 - c**6/180 + 5*c**3/3 - 8*c. Let q(h) be the second derivative of i(h). Solve q(f) = 0.
-1, 0, 1
Let y(x) be the first derivative of -x**4/3 - 4*x**3/3 - 3*x + 5. Let b(l) be the first derivative of y(l). Let b(a) = 0. What is a?
-2, 0
Let f = 1/3139 - -6269/28251. Factor -4/9*g - 2/3 + f*g**2.
2*(g - 3)*(g + 1)/9
Let r(c) = c**2 - 29*c + 159. Let l be r(7). Let x(q) be the third derivative of 0*q - 1/150*q**l + 0*q**3 + 0 + 0*q**4 + 3*q**2. Determine g so that x(g) = 0.
0
Let p = 637 + -637. Let z(l) be the second derivative of 0*l**2 + 2/15*l**6 + p - 4/3*l**3 + 5/3*l**4 - 4/5*l**5 - 8*l. Solve z(o) = 0 for o.
0, 1, 2
Factor 324*w**2 - 77*w**3 - 58*w - 83*w**3 - 352 + 712 - 356 - 110*w.
-4*(w - 1)**2*(40*w - 1)
Factor -2*m**2 + 9*m + 27*m**4 + 49*m**4 - 17*m + 6*m**2 + 28*m**5 + 4*m**3 + 56*m**3.
4*m*(m + 1)**3*(7*m - 2)
Let o(i) be the second derivative of i**4/3 + 12*i**3 - 36*i + 4. Factor o(z).
4*z*(z + 18)
Suppose 3*w = 6*w - 6. Suppose 3 = -4*c - 1, w*c = -4*d + 6. Factor 1 - b**2 + 0*b**d + 0.
-(b - 1)*(b + 1)
Let h(o) = 5*o**3 + 5*o**2 + 26*o + 83. Let b(n) = -2*n**3 - 2*n**2 - 8*n - 28. Let w(y) = -11*b(y) - 4*h(y). Solve w(z) = 0.
-2, 3
Determine b so that 2*b**3 - 4*b**5 + 5*b - 6*b + 3*b**5 = 0.
-1, 0, 1
Suppose 3*l = -3, 0 = -4*q - 3*l - 2*l + 7. Let s(v) be the first derivative of -1/4*v**q + 3/4*v**2 - 2 - 3/4*v. Factor s(o).
-3*(o - 1)**2/4
Determine h, given that -3/4*h**3 - 33*h - 24 - 39/4*h**2 = 0.
-8, -4, -1
Let m = -70311/7 - -10047. Suppose -18/7*f - m*f**3 - 33/7*f**2 - 3/7*f**4 + 0 = 0. What is f?
-3, -2, -1, 0
Let v(o) be the first derivative of 7 + 1/9*o**3 + 0*o + 1/6*o**2. Suppose v(a) = 0. What is a?
-1, 0
Suppose -8*s + 7*s = 16. Let b(v) = -v**2 - 15*v + 19. Let x be b(s). Find m such that 6*m**2 - x*m**5 - 2*m + 5*m - 2 + 2 - 6*m**4 = 0.
-1, 0, 1
Suppose 16/5*f**2 + 4 - 2/