+ 1292*t**3 - 70*t**5 - 6840*t**4 - 3468*t**2 + 7224*t**4.
-4*t**2*(t + 3)*(6*t - 17)**2
Let n(y) be the first derivative of 3*y**5/5 - 3*y**4/2 - 20*y**3 + 99*y**2 - 135*y - 645. Factor n(d).
3*(d - 3)**2*(d - 1)*(d + 5)
Determine n, given that -180*n - 86*n**4 - 24*n**4 + 1727*n**3 + 183*n**5 - 18*n**2 - 177*n**5 - 1425*n**3 = 0.
-2/3, 0, 1, 3, 15
Let l = -164726 - -3129856/19. Find q such that 2*q + l*q**4 + 108/19*q**3 + 14/19*q**5 + 92/19*q**2 + 6/19 = 0.
-1, -3/7
Suppose -t - f = -2, 5*t - 2*f - f = -6. Let a(u) = u**3 - 5*u**2 + 2. Let n be a(5). Determine w so that t*w**2 - 4*w**n + 30*w - w**2 - 45 = 0.
3
Let t(x) be the first derivative of x**8/10920 - x**7/455 + 7*x**6/780 - x**5/78 - 12*x**3 + x**2 + 56. Let j(y) be the third derivative of t(y). Factor j(i).
2*i*(i - 10)*(i - 1)**2/13
Let v(d) be the second derivative of 3*d**5/70 - 8811*d**4/14 + 25877907*d**3/7 - 76003412859*d**2/7 - 738*d - 1. Solve v(h) = 0 for h.
2937
Let s(m) = -3*m**2 + 4*m - 4 - 5*m + 3*m + 0*m. Let d(f) be the first derivative of f**3/3 + f**2/2 + 64. Let g(x) = -2*d(x) - s(x). Factor g(k).
(k - 2)**2
Let -23/4 - 1/4*m**2 + 6*m = 0. Calculate m.
1, 23
Let v(y) be the third derivative of y**6/10 - 11*y**5/15 + 2*y**4 - 8*y**3/3 - 22*y**2 - 7. Factor v(h).
4*(h - 2)*(h - 1)*(3*h - 2)
Let j be ((-4)/5)/(26/(-65)). Let i = 309 + -307. Determine r so that -6*r**j + i*r**2 + 11 - 11 - 4*r = 0.
-1, 0
Factor -1/4*u**2 - 1555009/4 - 1247/2*u.
-(u + 1247)**2/4
Let z be ((-15)/18)/(280/(-42)). Let l(d) be the first derivative of -4 + 0*d - 1/12*d**3 + z*d**2. Suppose l(i) = 0. What is i?
0, 1
Let q(i) be the first derivative of i**5/30 - 13*i**4/6 - 3*i**3 + 13*i**2/3 + 53*i/6 - 494. Factor q(u).
(u - 53)*(u - 1)*(u + 1)**2/6
Let s(x) be the first derivative of -x**6/120 - 3*x**5/80 - x**4/16 - x**3/24 - 21*x + 53. Let u(t) be the first derivative of s(t). Factor u(m).
-m*(m + 1)**3/4
Let z = 14776908 - 9398108203/636. Let g = z - -5/212. Factor -g*f**3 - 125/6*f**4 + 10*f**2 - 7/3*f + 1/6.
-(f + 1)*(5*f - 1)**3/6
Let i be 9*(3 - 2) + 39/(-13)*3. Factor -2/5*l**4 + i*l - 4/5*l**3 + 0*l**2 + 0.
-2*l**3*(l + 2)/5
Let x(p) = -11*p - 179. Let s be x(-17). Factor l**2 - 32*l - 24*l + 617 - s*l + 407.
(l - 32)**2
Find u, given that -158/13*u**2 - 44/13*u**3 + 200/13*u + 0 + 2/13*u**4 = 0.
-4, 0, 1, 25
Let j = 604/43 + -1165/86. Let j*r**2 - 3*r + 5/2 = 0. What is r?
1, 5
Let n(x) be the first derivative of x**6/21 + 2*x**5/35 - 5*x**4/14 - 10*x**3/21 + 4*x**2/7 + 8*x/7 + 949. Find b, given that n(b) = 0.
-2, -1, 1, 2
Find z, given that 51*z**2 + 3 - 165 - 79*z - 50*z**2 = 0.
-2, 81
Factor 3/2 - 1/8*x - 1/8*x**2.
-(x - 3)*(x + 4)/8
Let x be (-10175)/1925*(-21)/9. Solve -x*a**3 - 6 - 25*a - 89/3*a**2 - 5/3*a**4 = 0.
-3, -1, -2/5
Let p(u) be the third derivative of -43923*u**6/10 + 219373*u**5/5 + 3629*u**4/6 + 10*u**3/3 + 112*u**2 + 4*u. Let p(o) = 0. What is o?
-1/363, 5
Let -130*k + 1371*k**4 - 578*k**4 - 660*k**4 - 616*k**2 + 219*k**2 + 129*k**3 + 264 + k**5 = 0. Calculate k.
-132, -2, -1, 1
Let n = -625258 + 1875776/3. Factor -12*r + 18 - 8*r**2 + 4/3*r**3 + n*r**4.
2*(r - 3)*(r - 1)*(r + 3)**2/3
Let x(p) = 495 + 473 - 1048 - 10*p. Let w be x(-8). Factor w*o + 2*o**2 + 0 - 17/3*o**3 + 5/3*o**4.
o**2*(o - 3)*(5*o - 2)/3
Let o = 18437/3 - 6144. Let w(s) be the second derivative of -25/4*s**2 - 3*s + 0 + o*s**3 + 5/24*s**4. Suppose w(v) = 0. What is v?
-5, 1
Suppose 6*l - 12 = 3*r, -1 = -4*l - 4*r + 19. Let m be -1 + 6/2 - -5. Factor 90 - 5*z**4 + 10*z**3 + 6*z**3 - 65*z**2 - 15*z + m*z**l + 12*z**3.
-5*(z - 3)**2*(z - 2)*(z + 1)
Let i be (3/6*-15)/((-5)/10). Suppose i*l = 3*c + 18*l + 9, 0 = 3*c + l - 1. Let w - w - 7*w**4 + 38*w**4 + 4*w**c - 35*w**5 + 78*w**3 - 8*w = 0. What is w?
-1, -2/5, 0, 2/7, 2
Suppose -94 + 94 = 21*b. Let z(p) be the third derivative of -1/24*p**3 + 0*p + 1/240*p**5 + 0*p**4 + b + 20*p**2. What is x in z(x) = 0?
-1, 1
Let b(m) be the third derivative of -m**6/30 + 63*m**5/5 + 95*m**4/3 + m**2 + 151. Suppose b(q) = 0. Calculate q.
-1, 0, 190
Suppose -4*v = 4*y - 4, v + 5*y + 4 + 11 = 0. Suppose 11 + 10*c + 9 + 10 - 23*c + v*c**3 - 22*c = 0. What is c?
-3, 1, 2
Let u(q) be the second derivative of 0*q**2 + 1/5*q**3 + 0*q**5 + 2 - 7/60*q**4 - 115*q + 1/150*q**6. Factor u(c).
c*(c - 2)*(c - 1)*(c + 3)/5
Let o = 299974 - 299970. Determine d so that -34*d**2 - 1/2*d**5 - 19*d**3 - 57/2*d - 5*d**o - 9 = 0.
-3, -2, -1
What is t in -13/10*t**4 - 1/10*t**5 + 16/5 + 22/5*t - 19/10*t**2 - 43/10*t**3 = 0?
-8, -4, -1, 1
Determine z, given that -5 - 37/4*z**2 - 59/4*z + 1/2*z**3 = 0.
-1, -1/2, 20
Let g(y) = 22*y**3 + 620*y**2 + 7500*y + 20. Let l(s) = -7*s**3 - 206*s**2 - 2500*s - 6. Let o(n) = -3*g(n) - 10*l(n). Determine q so that o(q) = 0.
-25, 0
Suppose -134*h + 172*h - 76 = 0. Let s(o) be the third derivative of -1/84*o**4 + 0*o + 0 - 15*o**h + 1/210*o**5 - 2/21*o**3. Factor s(g).
2*(g - 2)*(g + 1)/7
Solve 1680*q**2 + 47*q**3 + 0 + 1/3*q**4 + 4900/3*q = 0.
-70, -1, 0
Suppose 84 + 42 = 65*l - 134. Let q(k) be the first derivative of -29 + 0*k**2 + 0*k - 16/7*k**3 + 1/7*k**l. Factor q(h).
4*h**2*(h - 12)/7
Let f(y) = -149 - 142*y - 243 - 110*y - 32*y**2 - y**3. Let g(a) = -a**2. Let v(l) = -2*f(l) + 4*g(l). Solve v(u) = 0.
-14, -2
Let c(v) be the third derivative of 0*v + 0*v**4 + 2/135*v**5 + 1/756*v**8 + 0 + 8/945*v**7 + 0*v**3 - 32*v**2 + 1/54*v**6. Determine z so that c(z) = 0.
-2, -1, 0
Let w = 15099 - 15096. Let n(x) be the first derivative of 1/4*x**2 - 35 + 1/24*x**w + 3/8*x. Determine d, given that n(d) = 0.
-3, -1
Let c(b) be the second derivative of -2*b**4/9 + 1703*b**3/9 + 142*b**2 + 32*b - 10. Determine a, given that c(a) = 0.
-1/4, 426
Let s(x) = 230*x**2 + 94*x - 16. Let b(v) = 2*v**2 - v + 4. Let z(u) = -6*b(u) - s(u). Factor z(t).
-2*(11*t + 2)**2
Suppose -44*c + 48 = -44 - 84. Factor -2/7*m**3 - 2/7*m**2 + 2/7*m**5 + 0*m + 2/7*m**c + 0.
2*m**2*(m - 1)*(m + 1)**2/7
Suppose 191*t + 2194 = 865*t + 172. Factor 274/13*v**2 - 2380/13*v + 578/13 - 8/13*v**t.
-2*(v - 17)**2*(4*v - 1)/13
Let k(z) be the first derivative of 78 - 4/9*z**3 + 1/12*z**4 + 1/2*z**2 + 0*z. Let k(h) = 0. Calculate h.
0, 1, 3
Let w(a) be the second derivative of 25*a**6 + 137*a**5 - 758*a**4/9 + 872*a**3/45 - 32*a**2/15 - a + 87. Determine j, given that w(j) = 0.
-4, 2/25, 2/15
Let b(g) be the second derivative of g**4/12 - 725*g**3/6 + 362*g**2 - 5*g - 131. Find d, given that b(d) = 0.
1, 724
Suppose z + z - 10 = 0. Let c be 802/6015*(9/2 + -3). Factor -4/5*a + 2/5*a**3 + 4/5*a**2 - a**4 + c + 2/5*a**z.
(a - 1)**3*(a + 1)*(2*a - 1)/5
Let f(q) be the first derivative of 4*q**5/5 - 62*q**4 + 448*q**3 + 64*q**2 - 7168*q + 4875. Let f(t) = 0. Calculate t.
-2, 4, 56
Let u = -822126 - -822130. Let -2/7*f**u + 0 - 1/7*f**5 + 0*f**2 + 0*f - 1/7*f**3 = 0. What is f?
-1, 0
Suppose -398/3*f**2 + 0*f + 0 - 2/9*f**4 + 404/9*f**3 = 0. Calculate f.
0, 3, 199
Let l = 473 + -363. Solve 200 + y**2 + 14 + l + 36*y = 0.
-18
Let r(v) be the third derivative of 1/30*v**5 + 0*v**4 - 1/60*v**6 + 1/420*v**7 - 5*v**2 + 0*v**3 + 8*v + 0. Factor r(o).
o**2*(o - 2)**2/2
Let c(w) be the first derivative of -w**4/4 - 22*w**3 - 726*w**2 - 72*w + 59. Let f(g) be the first derivative of c(g). Suppose f(l) = 0. What is l?
-22
Let n be (49/66591)/((-3)/(-18)). Let c = 1369/2265 - n. Determine m so that c - 1/5*m**2 + 2/5*m = 0.
-1, 3
Let q(f) be the first derivative of -7*f**2 + 2/3*f**3 - 16*f + 29. Factor q(i).
2*(i - 8)*(i + 1)
Let i(s) = -5*s**4 + 2*s**3 + s**2 - 1. Let h(w) = -34*w**4 + 80*w**3 + 6*w**2 - 66*w - 7. Let v(j) = -2*h(j) + 14*i(j). Find l such that v(l) = 0.
-66, -1, 0, 1
Let f(o) be the third derivative of -o**6/200 + 729*o**5/25 + 1167*o**4/8 + 1459*o**3/5 - 80*o**2 + 79*o. What is z in f(z) = 0?
-1, 2918
Let i(l) = -l**3 + 13*l**2 - 4*l - 5. Let j be i(12). Let o = 95 - j. Factor -78*w**4 - 2*w**5 + 2 + o*w**2 - 4*w**3 + 2*w + 72*w**4 + 4*w.
-2*(w - 1)*(w + 1)**4
Let c(f) = -44*f**2 - 2*f. Let u(m) be the first derivative of 89*m**3/3 + 3*m**2/2 + 39. Let y(r) = 5*c(r) + 2*u(r). Factor y(l).
-2*l*(21*l + 2)
Let 6830*j + 2*j**2 + 11020376 + 2081567 - 1439718 - j**2 = 0. Calculate j.
-3415
Let h(b) = -85*b**3 + 85*b**2 - 20*b + 20. Let m(j) = -4*j**3 + 3*j**2 + 1. Let z(t) = -h(t) + 20