se 0 = 27*h - 25*h + 2*u - 2, -4*h = -4*u - 36. Determine l, given that 22*l**2 - 21*l**x - h*l + 3*l - 3 = 0.
-1, 3
Let b(z) be the third derivative of -z**5/110 + 75*z**4/22 + 936*z**3/11 - 2*z**2 - 2*z - 1270. Determine t, given that b(t) = 0.
-6, 156
Factor -2000398*k**4 - 679*k**2 + 72*k**3 - 10368 - 257*k**2 + 5184*k + 2000396*k**4.
-2*(k - 12)**2*(k - 6)**2
Let y(l) = 5*l**2 - 29*l - 122. Let r(a) = -a**2 + a + 3. Let m(q) = -6*r(q) - y(q). Let i be m(-17). What is s in 4/3*s - 4/3 - 1/3*s**i = 0?
2
Let b(v) be the second derivative of v**7/126 - 103*v**6/15 + 31827*v**5/20 + 390*v. Factor b(w).
w**3*(w - 309)**2/3
Let g(j) be the first derivative of 6*j**8/35 + 8*j**7/35 + j**6/10 - j**4/64 - 109*j**3/3 + 50. Let t(c) be the third derivative of g(c). Solve t(v) = 0 for v.
-1/4, 1/12
Let z(w) be the second derivative of w**6/720 + w**5/30 + 29*w**4/144 + w**3/2 - 22*w**2 - 2*w + 1. Let q(h) be the first derivative of z(h). Factor q(g).
(g + 1)*(g + 2)*(g + 9)/6
Suppose 0 = 4*p - 4*t + 16, -t + 6*t - 14 = -p. Let k be p*(1 - 2)*(-6 - -9). Determine b, given that 2*b**2 + 2*b**k + b**3 - b**3 = 0.
-1, 0
Suppose 0 = 5*m + w - 41, 3*m - 10 - 11 = 3*w. Suppose -32 + 0 = -m*y. Factor -13*b + 37*b - 6*b**3 - 3*b**2 + 3*b**y - 18*b.
3*b*(b - 2)*(b - 1)*(b + 1)
Let w(s) be the third derivative of 0*s**3 + 1/60*s**6 + 0 - 1/210*s**7 - 1/336*s**8 - 37*s**2 + 0*s + 0*s**5 + 0*s**4. Let w(f) = 0. What is f?
-2, 0, 1
Let r(c) = 15*c**3 - 650*c**2 + 7520*c - 6880. Let p(n) = 8*n**3 - 326*n**2 + 3763*n - 3442. Let f(y) = 5*p(y) - 3*r(y). Factor f(a).
-5*(a - 49)*(a - 14)*(a - 1)
Let w be (-2 + (-32)/(-14))*(-48)/(-54)*387/172. Factor 12/7*u**2 - 12/7 + 4/7*u**3 - w*u.
4*(u - 1)*(u + 1)*(u + 3)/7
Let c(j) = j**3 - 6*j**2 + 4. Let w be c(6). Suppose -8 + w = -d. Factor -4*f**2 + 12*f**3 + 6 - 2*f**5 - 2*f - 16*f - 3*f**4 + 8*f + f**d.
-2*(f - 1)**3*(f + 1)*(f + 3)
Let i(k) be the third derivative of 0 + 2*k**2 + 4*k**3 + 1/20*k**5 - 4*k + 9/8*k**4. Let i(r) = 0. Calculate r.
-8, -1
Let b(q) = q**2 - 16*q + 18. Let c = 854 + -839. Let l be b(c). Factor -3/2*y**l + 3 + 9/2*y + 0*y**2.
-3*(y - 2)*(y + 1)**2/2
Let x = 260 - -749. Let v = 1013 - x. Factor 0*d**2 - 2/13*d**3 + 0*d + 0 - 6/13*d**v.
-2*d**3*(3*d + 1)/13
Let u(s) be the first derivative of s**4/6 - 48*s**3 + 5184*s**2 - 251*s - 40. Let a(z) be the first derivative of u(z). Suppose a(g) = 0. What is g?
72
What is c in -4*c**4 - 312*c**2 - 6991*c - 1217*c - 65*c**3 - 8870 + 181*c**3 + 1094 = 0?
-6, -1, 18
Let y(f) be the second derivative of -14 - 1/16*f**4 + 1/4*f**3 + 0*f**2 + 2*f. Factor y(x).
-3*x*(x - 2)/4
Let z(v) = 7*v**3 - 50*v**2 - 145*v. Let q(y) = -2*y**3 + y**2 - y. Let m(p) = 5*q(p) + z(p). Suppose m(d) = 0. What is d?
-10, -5, 0
Let h = 163352 + -1143448/7. Factor 48/7 + h*n - 4/7*n**2.
-4*(n - 6)*(n + 2)/7
Factor 82/9*i + 728/9 + 2/9*i**2.
2*(i + 13)*(i + 28)/9
Let b(n) = n**3 + 51*n**2 - 52*n + 309. Let k be b(-52). Let d be (4/(-4))/((-1)/15). Factor 150 + 149 + d*l - k - 5*l**2.
-5*(l - 2)*(l - 1)
Suppose -2*v - 83*k + 74*k = 45, 0 = -5*v + 5*k + 25. Suppose 3/2*r + 3/4*r**2 + v = 0. What is r?
-2, 0
Suppose -2350 = -1190*p + 2410. Find i, given that 0 - 3/7*i**p + 5/7*i**5 + 2/7*i + 3/7*i**2 - i**3 = 0.
-1, -2/5, 0, 1
Let d(b) = 56 - 23*b**2 - 9*b - 49 - 39*b + 13*b**2. Let t(g) = 4*g**2 + 24*g - 3. Let k(i) = -3*d(i) - 7*t(i). Factor k(c).
2*c*(c - 12)
Let u(h) = 351*h**2 - 788*h + 60. Let r be (-2)/(10/95 - (-56)/190). Let a(z) = 235*z**2 - 525*z + 40. Let q(j) = r*u(j) + 8*a(j). Factor q(n).
5*(n - 2)*(25*n - 2)
Suppose -5*c = -3*c - 10. Suppose -c*f - 2 = -3*v, -4*v - 2*f + 10 = -5*f. Factor -3 - 12*h + 3*h**v - 18*h**3 - 18*h + 12 + 41*h**2 - 5*h**2.
3*(h - 3)*(h - 1)**3
Suppose 3*x = 5*r - 7, 3*x = -47*r + 45*r + 7. Determine i so that i**3 + 44*i**4 - 45*i**4 + 3*i - 2*i - 4*i - i + 4*i**r = 0.
-2, 0, 1, 2
Let 76/17*y**2 + 16/17*y**4 + 16/17 - 50/17*y**3 - 56/17*y - 2/17*y**5 = 0. Calculate y.
1, 2
Determine z so that -18*z - 23/3*z**4 - 2/3*z**5 + 56/3*z**3 + 0 + 23/3*z**2 = 0.
-27/2, -1, 0, 1, 2
Let j(g) be the first derivative of g**6/270 - 5*g**5/144 + g**4/48 + g**3 + 28*g**2 - 148. Let m(r) be the third derivative of j(r). Factor m(x).
(x - 3)*(8*x - 1)/6
Suppose 0 = -4*n + 92 + 44. Let x = n + -30. Solve -27*r + 4 - 24*r + 59*r + x*r**2 = 0.
-1
Let n = 14038 + -7861279/560. Let c(d) be the third derivative of 0*d - n*d**7 + 0 - 1/160*d**5 + 1/160*d**6 + 19*d**2 + 0*d**4 + 0*d**3. Factor c(i).
-3*i**2*(i - 1)**2/8
Let t = -49 - -54. Suppose 0 = j - 5*b + b - 9, 3*j + t*b = 10. Factor -53*o**5 - 2*o**4 - 2*o**3 - 6*o**4 + 47*o**j.
-2*o**3*(o + 1)*(3*o + 1)
Let v = 760273/16 - 47517. Let h(f) be the third derivative of 24*f**2 - 1/80*f**6 + 0*f - 1/40*f**5 + 1/4*f**3 + v*f**4 + 0. Factor h(r).
-3*(r - 1)*(r + 1)**2/2
Let g(j) be the first derivative of 39*j**4 + 111*j**2 - 331/3*j**3 - 40*j - 7/5*j**5 - 47. Factor g(b).
-(b - 20)*(b - 1)**2*(7*b - 2)
Let s(x) = -2*x**3 + 21*x**2 + 6*x - 11. Let t be s(9). Let o = -284 + t. Determine a, given that 0*a - 2/11*a**4 + 0*a**o + 0 - 4/11*a**3 = 0.
-2, 0
Let y(l) be the third derivative of l**8/168 + 2*l**7/35 - 3*l**6/5 + 4*l**5/3 - 2*l**2 + 15*l. Solve y(p) = 0 for p.
-10, 0, 2
Determine s so that 37*s**2 - 7677 - 56*s + 6942 - 38*s**2 = 0.
-35, -21
Suppose 15 - 35 = -10*t. Let x be ((-416)/36)/(-13)*12. Let 14/3*k**3 + 4/3 + x*k**t + 22/3*k = 0. What is k?
-1, -2/7
Let o = -2214740/7 + 316428. Find x, given that -1/7*x**4 - 132/7*x**2 - o + 320/7*x + 20/7*x**3 = 0.
2, 8
Let n(u) be the first derivative of 2*u**5/5 - 7*u**4/2 - 2*u**3/3 + 7*u**2 - 1720. Factor n(c).
2*c*(c - 7)*(c - 1)*(c + 1)
Let d be 18/12*(56/(-30) - -2)/4. Let x(c) be the second derivative of 1/6*c**3 + 3/14*c**2 - d*c**5 - 1/28*c**4 + 0 - 5*c. Solve x(v) = 0 for v.
-1, -3/7, 1
Let k = -28735 + 258625/9. Determine u, given that 118/3*u**4 - 248/9*u**2 - 76/9*u**3 - 92/9*u - k + 8*u**5 = 0.
-5, -1/3, -1/4, 1
Let s(a) be the second derivative of 27*a**7/7 - 93*a**6/5 + 56*a**5/5 - 2*a**4 - 3*a - 1545. Solve s(g) = 0 for g.
0, 2/9, 3
Let k(d) be the second derivative of 2*d**7/21 - 2*d**6 - 56*d**5/5 + 8*d**4 + 416*d**3/3 + 288*d**2 - 2427*d. Determine y so that k(y) = 0.
-2, -1, 2, 18
Let n(d) = -d**4 - 7*d**3 + d**2 - 5*d. Suppose 20 = -q + 25. Suppose -q*w = w + 24. Let h(j) = j**3 - j**2 + j. Let r(b) = w*h(b) - n(b). Factor r(g).
g*(g + 1)**3
Let d be 4 + (-3)/((-6)/(-4)). Let j be (22560/121072)/((-2)/(-46)). Factor 3/7*v**d + 9/7*v - j.
3*(v - 2)*(v + 5)/7
Let v(n) be the first derivative of -3/8*n**2 + 0*n - 33 - 1/12*n**3. Factor v(p).
-p*(p + 3)/4
Let s = -2872301 + 761160973/265. Let q = -19/53 + s. Suppose 33/5*z**2 + 0 - 12/5*z - q*z**3 = 0. Calculate z.
0, 4/7, 1
Let v(i) be the second derivative of -i**7/105 - 2*i**6/3 - 113*i**5/25 - 4*i**4/5 + 321*i**3/5 + 162*i**2 + 5115*i. Let v(t) = 0. Calculate t.
-45, -3, -1, 2
Let u(p) = -843*p + 1688. Let m be u(2). Suppose -2/3*s**3 - 968*s + 44*s**m + 21296/3 = 0. What is s?
22
Let n(m) be the first derivative of -m**6/1080 + m**5/45 - 79*m**3/3 - 146. Let c(z) be the third derivative of n(z). Factor c(k).
-k*(k - 8)/3
Let w(x) be the third derivative of -x**8/12096 + x**7/5670 - x**4/24 - 4*x**3 - 71*x**2. Let r(g) be the second derivative of w(g). Factor r(j).
-j**2*(5*j - 4)/9
Let u be 5/(20/8) - 1. Suppose -3*r + 8*p - 3*p + 1 = 0, u = p. Let 30*i - 30*i**3 + 75 - 72*i**r + i**4 - 9*i**4 + 5*i**4 = 0. Calculate i.
-5, -1, 1
Solve -12021*f + 13756*f**3 - 23515*f + 19756*f - 2016*f**4 + 2072 - 64*f**5 + 26656*f**2 = 0.
-37, -2, 1/4, 7
Let u(m) be the third derivative of 83*m**6/660 - 499*m**5/165 + 251*m**4/11 - 24*m**3/11 - m**2 - 714*m. Find s, given that u(s) = 0.
2/83, 6
Let w(m) = 12*m**2 - 14*m + 7. Let r(j) = -8*j**2 + 10*j - 5. Let b be 6/14 + (-138)/(-21). Let d(u) = b*r(u) + 5*w(u). Find c, given that d(c) = 0.
0
Suppose -40 = -5*o + 3*z, o - 3632 = 4*z - 3590. Solve -2/3*p + 0 + 2/3*p**o = 0.
0, 1
Suppose -2*q = q + 2*o + 96, -2*q - 66 = 2*o. Let l = 33 + q. Factor -8*g**3 + l*g**2 + 3*g**4 + 9*g**2 - 4*g - 2*g**2 - g**4.
2*g*(g - 2)*(g - 1)**2
Let n(h) = 3*h**3 - 21*h**2 + 31*h - 15. Let y be 10/(-7) - 39/(-91). Let d(t) = t. Let l(c) = y*n(c) - 2*d(c). Factor l(p).
-3*(p - 5)*(