et v(l) = -12*l**3 - 32*l**2 + 72*l + 8. Let c = 635 + -643. Let r(m) = -2*m**3 + m + 1. Let a(h) = c*r(h) + v(h). Let a(w) = 0. What is w?
0, 4
Factor 7*k**3 - 10741*k**2 - 2502 + 649*k - 5*k**3 + 5200*k**2 - 2299*k + 5275*k**2.
2*(k - 139)*(k + 3)**2
Suppose x - 3 = 0, 0 = 5*l + 4*x - 19 - 13. Let w(a) be the first derivative of -1/15*a**3 + 1/20*a**2 + 0*a + 1/40*a**l + 12. Factor w(q).
q*(q - 1)**2/10
Let m(x) = -18*x**5 + 1014*x**4 + 6283*x**3 + 3855*x**2 + 620*x - 7. Let r(s) = 3*s**3 + 3*s**2 - 1. Let c(n) = -2*m(n) + 14*r(n). Find y such that c(y) = 0.
-5, -1/3, 0, 62
Factor 3*o**2 + 2863*o + 0 - 187*o + 0.
3*o*(o + 892)
Let z(d) be the second derivative of 9*d**6/10 - 51*d**5/5 - 163*d**4/4 - 43*d**3 - 1684*d. Factor z(w).
3*w*(w + 1)**2*(9*w - 86)
Factor 2/7*w**3 + 296*w**2 + 538714/7*w + 1069156/7.
2*(w + 2)*(w + 517)**2/7
Solve -796*f - 1192/3 - 400*f**2 - 4/3*f**3 = 0 for f.
-298, -1
Let r(a) be the second derivative of a**4 + 0*a**2 + 0*a**3 + 64 - 2*a + 51/20*a**5. Factor r(y).
3*y**2*(17*y + 4)
Let y(m) = -141*m**2 + 142*m + 465. Let i(p) = 350*p**2 - 285*p - 930. Let w(j) = 2*i(j) + 5*y(j). Factor w(z).
-5*(z - 31)*(z + 3)
Let s = 1171/80 - 71/5. Let t(c) be the first derivative of 1/5*c**5 + 0*c + 1/6*c**3 - s*c**4 + 1/8*c**2 - 13. Factor t(o).
o*(o - 1)**2*(4*o + 1)/4
Let f be (31192/20)/7*-5. Let m = -1112 - f. Find k, given that -4/3*k**3 + 0 + 0*k + 0*k**m + 2/3*k**5 - 2/3*k**4 = 0.
-1, 0, 2
Let j(n) be the third derivative of n**7/840 - n**6/24 + 19*n**5/40 - 35*n**4/24 - 275*n**3/24 + 1915*n**2. Factor j(p).
(p - 11)*(p - 5)**2*(p + 1)/4
Let t = 85 - 63. Let h = t + -1. What is o in -24*o**3 + 3 - 9*o**2 + h*o - 12 - 9 + 27*o**2 + 3*o**5 = 0?
-3, -1, 1, 2
Let t be (-10)/(-25) - (1972/5 - 1). Let k = -2749/7 - t. Suppose -k*x**3 - 5/7*x**2 - 1/7 - 4/7*x = 0. Calculate x.
-1, -1/2
Let h(k) be the third derivative of -5*k**7/14 - 43*k**6/4 - 769*k**5/20 + 207*k**4/2 - 90*k**3 - 5630*k**2 - 2*k. Let h(x) = 0. What is x?
-15, -3, 2/5
Let x be ((-175)/(-15) - 11) + 2/(-12). Let a(s) be the second derivative of 1/12*s**4 + 0 - x*s**3 - s**2 + 3/20*s**5 + 1/30*s**6 - 15*s. Factor a(d).
(d - 1)*(d + 1)**2*(d + 2)
Let m(t) = -19*t - 35. Let a be m(-9). Suppose 0 = -8*z + 7*z - 4, i + z = a. Find s such that 92*s**2 + i*s**4 - 6*s - 236*s**3 - 7*s - 3*s + 20*s**2 = 0.
0, 2/7, 2/5, 1
Let u(o) be the second derivative of 7*o**5/8 - 1495*o**4/16 + 3000*o**3 - 640*o**2 - 3370*o. Factor u(a).
5*(a - 32)**2*(14*a - 1)/4
Find i, given that -60000*i - 4/3*i**5 + 250000/3 - 92*i**4 - 63100/3*i**2 - 6620/3*i**3 = 0.
-25, -10, 1
Let c be (-24 - -18)/(-1 - (-1)/4). Factor 4*u**3 + 7372 + c*u**2 - 7372.
4*u**2*(u + 2)
Factor -214651 + 48*f**2 + 24*f**3 + 6*f**5 - 64*f + 214651 - 28*f**4.
2*f*(f - 2)**3*(3*f + 4)
Let f(j) be the second derivative of -j**5/30 + 115*j**4/6 + 4*j**3/9 - 460*j**2 + 7550*j. Factor f(m).
-2*(m - 345)*(m - 2)*(m + 2)/3
Let m(o) = 10*o**2 + 2*o - 4. Let b be m(2). Suppose 0 = x - 55 + b. Solve x*y**2 - 3322 + 3322 + 10*y + 3*y**3 + 2*y**3 = 0.
-2, -1, 0
Let n = -357/1864 - -869653/516328. Let r = 2/277 + n. Determine i, given that -6*i + 0 - r*i**2 = 0.
-4, 0
Let k = -400948/55 + 80216/11. Factor k*j + 24/5 - 3*j**3 - 18/5*j**2 - 3/5*j**4.
-3*(j - 1)*(j + 2)**3/5
Let w(k) be the first derivative of -2*k**2 + 1/2*k**3 - 1/10*k**5 + 2*k + 1/4*k**4 + 52. Factor w(r).
-(r - 2)*(r - 1)**2*(r + 2)/2
Let l(d) = -2*d**2 - 30*d + 18. Let s be l(-15). Factor -23*i**2 - i**2 - s - 96*i + 12*i**2 + 9*i**3 - 2 - 13*i**2.
(i - 5)*(i + 2)*(9*i + 2)
Let p(m) be the second derivative of 0 + 1/20*m**5 - 1/12*m**4 + 2*m**2 - 2/3*m**3 - 41*m. Determine r, given that p(r) = 0.
-2, 1, 2
Let v(z) = z**3 - z**2. Let k(u) = 5*u**4 - 5*u**3. Let q(d) = -22*d - 85. Let b be q(-4). Let p(i) = b*k(i) - 6*v(i). Determine n, given that p(n) = 0.
0, 2/5, 1
Let f be (-73)/(-23) - (-1560)/(-8970). Factor -2/3*l**f + 4/3 - 10/3*l + 8/3*l**2.
-2*(l - 2)*(l - 1)**2/3
Let q be (6 + 1 + -5)*-1. Let r be q/4*(-30 + 30). Determine j so that 4*j**4 + r*j + 40/3*j**3 + 0 - 6*j**5 + 16/3*j**2 = 0.
-2/3, 0, 2
Let i(c) = 5*c**3 - 8*c**2 + 4*c + 3. Let k be i(1). Let l(n) = n**3 - 4*n**2 + 6*n - 21. Let z be l(k). Solve 1/2*v**z + 0 - v**2 + 0*v = 0 for v.
0, 2
Factor 0 - 7/5*p**3 + 5941/5*p**2 + 1698/5*p.
-p*(p - 849)*(7*p + 2)/5
Let -1/6*b**3 - 25/6*b + 7/3*b**2 + 2 = 0. Calculate b.
1, 12
Let 2008*x**3 - 1261*x**2 - 4528*x - 95*x**2 - 28*x**4 - 74848 + 73712 = 0. Calculate x.
-1, -2/7, 2, 71
Let w = 448 + -433. Factor -29*h**2 - 4*h**3 + 38 + 4*h - 2 + 8 - w*h**2.
-4*(h - 1)*(h + 1)*(h + 11)
Let j(g) be the second derivative of -6/5*g**6 + 0*g**2 + 2/21*g**7 + 0 + 7/5*g**5 - 16/3*g**3 + 122*g + 3*g**4. Factor j(u).
4*u*(u - 8)*(u - 1)**2*(u + 1)
Let l(n) be the first derivative of n - 1/54*n**4 - 5 + 1/27*n**3 + 0*n**2. Let m(i) be the first derivative of l(i). Determine h so that m(h) = 0.
0, 1
Suppose 22 = -13*u + 61. What is f in -23*f**2 - 8*f**u - 16*f**2 + 28*f**2 - 3*f = 0?
-1, -3/8, 0
Let 0 - 2/3*r**3 + 62/9*r**2 + 44/9*r = 0. What is r?
-2/3, 0, 11
Let l be -6*(-2)/48 + 7/4. Factor -9*j**l - 63 + 493*j + 3*j**2 - 622*j.
-3*(j + 21)*(2*j + 1)
Suppose 44*b - 584 = -29*b. Let f be 10/(-20)*b/(-26). Factor 12/13*o + 18/13 + f*o**2.
2*(o + 3)**2/13
Let g(m) = 6*m**3 + 33*m**2 - 6*m + 3. Let c(a) = 5*a**3 + 32*a**2 - 4*a + 2. Suppose 0 = -h + 55 - 52. Let b(y) = h*c(y) - 2*g(y). Factor b(i).
3*i**2*(i + 10)
Let t be (15/(-10))/(3/(-4)). Solve -3*i**2 - 3*i + 3 + 7*i**3 - 6*i**t - 4*i**3 + 6*i**2 = 0.
-1, 1
Let g(v) be the second derivative of 5/28*v**7 - 1/12*v**4 + 0 - 9/40*v**5 + 0*v**3 - 1/15*v**6 + 0*v**2 - 66*v. Suppose g(b) = 0. What is b?
-2/5, -1/3, 0, 1
Factor -36/19*y**2 + 0 + 2/19*y**3 + 0*y.
2*y**2*(y - 18)/19
Let z(l) = 7*l**3 + 26*l**2 - 53*l - 36. Let d(g) = 15*g**3 + 55*g**2 - 111*g - 73. Let r(c) = 6*d(c) - 13*z(c). Factor r(j).
-(j - 3)*(j + 1)*(j + 10)
Let r be (9/((-3348)/31))/(((-2)/(-16))/((-132)/16)). Solve 23/2*s**2 + r*s**3 - 5*s - 8 - 1/2*s**5 - 7/2*s**4 = 0 for s.
-8, -1, 1, 2
Let g(t) be the first derivative of 2*t**3/51 - 193*t**2/17 + 1512*t/17 - 3027. Factor g(x).
2*(x - 189)*(x - 4)/17
Let r = 5 - 1. Suppose -y + 0*m - m = -58, 0 = -5*y + r*m + 317. What is p in y - 41 - 12*p - 4*p**2 - 4*p = 0?
-5, 1
Find i, given that 403556 - 37*i**3 + 16848*i**2 - 33756 + 193*i**3 + 313664*i + 160*i**3 + 2*i**4 + 192632 = 0.
-52, -2
Let h(n) = n**2 - 12*n - 18. Let u be h(13). Let z be (3 - 1)*(u + 8)/3. Factor -1/4*k**3 + 0 - 1/4*k**z + 0*k.
-k**2*(k + 1)/4
Let t be (3*-1)/(-9 + (-864)/(-99)). Suppose 0 = 2*r - 3*j - t, 3*r = -3*j + 4 + 5. Factor 9/7*y**3 + 12/7*y**2 + 0*y + 0 - 3/7*y**r.
-3*y**2*(y - 4)*(y + 1)/7
Solve 7751 - 7695 - 4*y**2 - 4*y**3 + 50*y**2 - 92*y - 6*y**2 = 0.
1, 2, 7
Factor -8/5*n + 11/5*n**2 - 3/5*n**3 + 0.
-n*(n - 1)*(3*n - 8)/5
Factor -413*s**4 - 32*s**4 - 176*s**4 - 2003*s**5 + 1999*s**5 - 3*s**4 - 620*s**3.
-4*s**3*(s + 1)*(s + 155)
Determine z so that -1056/5*z + 0 - 248/5*z**3 - 4/5*z**4 + 208*z**2 = 0.
-66, 0, 2
Let w = 3636 + -3633. Let h be (-9 + 3)*4/(-6). Factor 2/3*t**2 - 4/3*t**w + 0*t + 0 + 2/3*t**h.
2*t**2*(t - 1)**2/3
Let c(p) be the second derivative of p**6/10 - 219*p**5/80 + 9*p**4/8 + 1939*p. Determine z so that c(z) = 0.
0, 1/4, 18
Let h(y) be the second derivative of y**5/10 + 42*y**4 + 5831*y**3 + 198254*y**2 - 3381*y. Determine u so that h(u) = 0.
-119, -14
Suppose -1828 = -3*i - 2*w, -4*i + 77*w + 2445 = 72*w. Let y be i/(-100) + 8 - 3/2. Let -1/5*j**5 - y*j**2 + 0*j**3 + 1/5*j + 0 + 2/5*j**4 = 0. Calculate j.
-1, 0, 1
Suppose 4*t + 4*o - 74 = 94, -2*t - 5*o = -84. Suppose 3*b + 0*j = 3*j + t, 0 = -2*b + j + 28. Factor 5*s**3 - 3 - 11*s**2 + b*s**2 - 3*s - 2*s**3.
3*(s - 1)*(s + 1)**2
Suppose 40*i = 48*i - 56. Let m be 4/i - 940/(-658). Find p such that 0 + 4/9*p + 0*p**3 + 2/9*p**4 - 2/3*p**m = 0.
-2, 0, 1
Determine t so that -115*t**4 + 109*t**3 + 131*t**2 - 4*t - 225*t**4 + 36*t**5 + 16*t + 168*t**3 - 116*t**4 = 0.
-1/6, 0, 1, 12
Suppose 782 = 513*o - 244. Factor -1/7*j**o - j + 8/7.
-(j - 1)*(j + 8)/7
Let -64/5*j - 128/5*j**2 + 0 - 6/5*j**4 - 52/5*j**3 = 0. What is j?
-4, -2/3, 0
Factor 2743*q + 1372 - 247 + 35*q**2 - 3*q**3 + 2*q**3 - 3118*q + 0*q**3.
-(q - 15)**2*(q - 5)
Let f(q) be