 2/3*l**4 + k*l**5 + 1/3*l**3 + 0 + 0*l = 0.
-1, 0
Let z(l) be the third derivative of -16*l + 0 + 3*l**3 - 1/20*l**5 - 1/8*l**4 + 6*l**2. Solve z(p) = 0 for p.
-3, 2
Suppose 56 = -65*g + 58*g. Let l be 1 - 6/30 - g/(-20). Suppose -4/5*n**3 - 2/5*n**2 + 0 + l*n**4 + 4/5*n = 0. What is n?
-1, 0, 1, 2
Let h = -106391 - -106395. Factor -27/11*t**5 + 0*t + 0 - 56/11*t**h - 2/11*t**2 - 31/11*t**3.
-t**2*(t + 1)**2*(27*t + 2)/11
Let v be 15 + 2*(-1 - -2). Let j(g) = g**3 - g**2 - 5*g + 2. Let f be j(3). Factor -8*b + 60*b**3 + 40*b + v + 116*b**2 - f + 36*b.
4*(b + 1)*(3*b + 1)*(5*b + 3)
Factor 21*z + 514*z - 16665*z**2 + 33317*z**2 - 16662*z**2.
-5*z*(2*z - 107)
Let j = -338 - -342. Factor -1 + v**2 - v - 15 + 10 - j*v.
(v - 6)*(v + 1)
Let g be (-2)/(-5) - 9374/(-215). Suppose -12*v - 85*v**2 + 14*v + g*v**2 + 43*v**2 = 0. What is v?
-1, 0
Let u(s) = -3*s**2 - 14*s + 82. Let h be u(-8). Suppose 16 = -h*g - 4*l, 20 = g + g - 5*l. Factor -9/5*q**3 + g - 9/5*q**2 - 3/5*q - 3/5*q**4.
-3*q*(q + 1)**3/5
Let z(w) = -w**3 - 4*w**2 - 3*w - 1. Let j be z(-2). Let x be (0 - (0 + j))/((-6)/(-100)). Factor 43 + 5*g**2 + x - 5*g - 103.
5*(g - 2)*(g + 1)
Let i = -821 - -850. Solve -i*g**2 - 33*g**2 + 10*g + 67*g**2 - 75 = 0.
-5, 3
Let z be 16/4 - (-3400)/15*1. Let a = 231 - z. Factor -4/3*x**2 - 1/3 - 7/6*x + 1/3*x**4 + 1/6*x**5 - a*x**3.
(x - 2)*(x + 1)**4/6
Let a(i) be the third derivative of 1/30*i**6 - 10*i**3 + 0*i + 7/6*i**4 - 38*i**2 + 0 + 7/15*i**5. Factor a(w).
4*(w - 1)*(w + 3)*(w + 5)
Let t = 251451 - 1256891/5. Factor -36 + t*k - 188/5*k**2 + 4/5*k**3.
4*(k - 45)*(k - 1)**2/5
Let v be 60/9*(-54)/465. Let b = v - -230/217. Solve -2/7*c**2 + b - 8/7*c + 8/7*c**3 = 0 for c.
-1, 1/4, 1
Suppose 0 = 60*b - 577 + 157. Let q(c) = -3*c**2 + 362*c - 11165. Let t(n) = -9*n**2 + 1084*n - 33496. Let s(w) = b*q(w) - 2*t(w). Factor s(g).
-3*(g - 61)**2
Let d(r) be the first derivative of 16*r**3 + 83*r**2/2 - 26*r - 67. Let t(o) = -47*o**2 - 82*o + 24. Let p(x) = -2*d(x) - 3*t(x). Let p(y) = 0. Calculate y.
-2, 2/9
Suppose 7*z - 395 = -115. Let r be (2 - 1)/(-5*(-4)/z). Factor -6*k**3 - 1 - 11*k**4 - 12*k + 14*k**4 + 1 - 21*k**r.
3*k*(k - 4)*(k + 1)**2
Let c(t) be the second derivative of t**4/28 + 27*t**3/14 + 39*t**2 + 1221*t. Factor c(n).
3*(n + 13)*(n + 14)/7
Let c be 121/2 + -2 + (-15)/(-6). Suppose -37 + c = 12*w. Factor 2/7*m**4 - 2/7*m + 2/7*m**3 + 4/7 - 6/7*m**w.
2*(m - 1)**2*(m + 1)*(m + 2)/7
Let i(f) be the second derivative of -f**7/42 + 76*f**6/15 + 219*f**5/4 + 1421*f**4/6 + 1586*f**3/3 + 636*f**2 - 4607*f. Solve i(d) = 0.
-2, -1, 159
Let h(o) be the third derivative of -o**8/2688 - 29*o**7/5040 - o**6/72 + 5*o**4/4 + 2*o**2 + 32*o. Let g(p) be the second derivative of h(p). Factor g(c).
-c*(c + 5)*(5*c + 4)/2
Let -543*k + 275 + 230*k**3 - 660*k**2 - 87*k + 1540*k**4 - 1555*k**4 = 0. What is k?
-1, 1/3, 5, 11
Suppose 29*c - 30 = 19*c. What is z in 624*z + 101*z**c + 127*z**3 + 48*z**4 + 536*z**2 + 3573*z**5 - 3569*z**5 + 288 = 0?
-3, -2
Let n(v) = v**4 - 2*v**3 + v**2 - v + 1. Let a(q) = -2*q**5 + 2*q**4 - 2*q**3 + 6*q**2 - 8*q + 4. Let s(g) = -a(g) + 4*n(g). Factor s(p).
2*p*(p - 1)**2*(p + 1)*(p + 2)
Let c(o) = -5*o**2 + 464*o + 924. Let t(p) = -2*p**2 - 4. Let h(d) = -3*c(d) + 6*t(d). Factor h(k).
3*(k - 466)*(k + 2)
Let v(t) be the third derivative of t**7/2625 + 131*t**6/1500 + 2111*t**5/375 - 77*t**4/5 - 2904*t**3/25 + 2*t**2 - 1818*t. Solve v(u) = 0.
-66, -1, 2
Suppose 2/5*p**3 + 624/5 + 308/5*p + 46/5*p**2 = 0. What is p?
-13, -6, -4
Let f be (-85)/119*448/(-160). Solve -3/5*k**f + 21/5 + 18/5*k = 0.
-1, 7
Factor -14/5*h**2 - 2/5*h**3 + 0*h + 72/5.
-2*(h - 2)*(h + 3)*(h + 6)/5
Let l(j) be the second derivative of 216*j**2 + 1/80*j**5 + 3/4*j**4 - 2*j - 50 + 18*j**3. Factor l(y).
(y + 12)**3/4
Let s(r) = -22*r**2 + 200*r - 178. Let l(y) = -5*y**2 + 50*y - 45. Let d(n) = n**2 + 17*n + 51. Let t be d(-5). Let o(k) = t*l(k) + 2*s(k). Factor o(p).
(p - 49)*(p - 1)
Let x = 23073 - 46137/2. Factor -8 + 18*w - 14*w**2 + x*w**3 - 1/2*w**4.
-(w - 4)*(w - 2)**2*(w - 1)/2
Suppose -77*y + 248*y - 83*y - 78*y = 0. Let q(s) be the first derivative of 0*s**2 + 1/28*s**4 + y*s + 13 - 2/21*s**3. Suppose q(k) = 0. Calculate k.
0, 2
Let u(b) be the first derivative of 1/60*b**5 + 12*b + 1/3*b**2 + 12 + 1/9*b**4 + 5/18*b**3. Let w(i) be the first derivative of u(i). Solve w(z) = 0.
-2, -1
Let l(m) be the third derivative of -m**8/56 + 13*m**7/70 - 3*m**6/5 + m**5/20 + 7*m**4/2 - 6*m**3 + m**2 - 89. Solve l(z) = 0 for z.
-1, 1/2, 2, 3
Let k = -1 - -3. Let d be 92/22 - (-6)/(-33). What is n in d*n**3 - 12*n - 19*n**k + 4 + 4 + 19*n**2 = 0?
-2, 1
Let r = 281 + -278. Factor -c**4 + 0*c - 7*c**r + 3*c**2 - 14 + 0*c**4 + 19*c.
-(c - 1)**2*(c + 2)*(c + 7)
Let r = 95 + -87. Suppose -22*x = -17*x - 10. Find p, given that -2 + 2*p - 4*p + 6*p - x*p**2 + r = 0.
-1, 3
Let s(p) be the third derivative of p**6/900 + 11*p**5/5 + 5445*p**4/4 + 531*p**2 + p. Let s(t) = 0. What is t?
-495, 0
Let m = -36 - -38. Factor 75*r**m - 35*r**3 - 18*r**4 + 8*r**3 + 6*r**2 + 9*r**4 + 3*r**5.
3*r**2*(r - 3)**2*(r + 3)
Let -77/2*i - 1/4*i**4 + 3/4*i**2 - 26 + 13*i**3 = 0. What is i?
-1, 2, 52
Let d(n) = 6*n**3 + 9*n**2 + 3*n - 18. Suppose 4*m - 9*m - 45 = 0. Let w(u) = 3*u**3 + 4*u**2 + 2*u - 9. Let r(x) = m*w(x) + 5*d(x). Factor r(t).
3*(t - 1)*(t + 1)*(t + 3)
Let g(z) be the second derivative of z**7/49 - 151*z**6/105 + 24*z**5/35 + 50*z**4/21 + 7938*z. Solve g(t) = 0.
-2/3, 0, 1, 50
Suppose -2*x = 3*r - 6*r - 25, 30 = 3*x - 3*r. Let -3*g**3 - 3*g**3 + 10*g**3 + 12*g**3 - 11*g**x - 20*g**4 + 15*g**5 = 0. What is g?
0, 1, 4
Let q(k) = -158*k - k**2 - 3 + 3 - 3*k**2 + k**4 + 3*k**2 + 146*k**3. Let p(y) = 144*y**3 - 160*y. Let m(w) = 3*p(w) - 4*q(w). Factor m(b).
-4*b*(b - 1)*(b + 1)*(b + 38)
Let m(j) be the first derivative of 50*j**3/21 + 46*j**2/7 - 16*j/7 + 308. Factor m(d).
2*(d + 2)*(25*d - 4)/7
Solve -2/21*i**4 - 21600/7*i - 184/21*i**3 - 1920/7*i**2 - 36000/7 = 0 for i.
-30, -2
Let h(w) be the first derivative of 4*w**3/27 - 50*w**2/3 - 540. Factor h(o).
4*o*(o - 75)/9
Let y(g) be the second derivative of -52/9*g**3 - 1352/3*g**2 - 3*g - 1/36*g**4 - 7. Factor y(b).
-(b + 52)**2/3
Suppose 5*a + 3 = 23. Let h be -2 + a + -2 - -2. Factor -2 - 2*n**2 + h*n**2 + 2*n**2.
2*(n - 1)*(n + 1)
Let c = 51 - 42. Let a be 30/c - (-32)/(-24). Factor 48*y - 21*y + 29*y + 196 + 4*y**a.
4*(y + 7)**2
Let u(s) be the third derivative of -1/240*s**5 + 23/96*s**4 + 0 + s**3 + 0*s - 34*s**2. Suppose u(a) = 0. Calculate a.
-1, 24
Let a be (236 + -244)/(4*-1). Factor -8/3*u**a - 10/3*u + 2*u**3 + 4/3.
2*(u - 2)*(u + 1)*(3*u - 1)/3
Let a be -1*2 + 10 + (-708652)/88578. Let f = a - -8438/6327. Factor -4/3*v**2 + 0*v**3 + 0*v + 0 + f*v**4.
4*v**2*(v - 1)*(v + 1)/3
Let i = -18634815/23 + 810211. Suppose -2/23*d**3 + 0 + 40/23*d + i*d**2 = 0. What is d?
-1, 0, 20
Let h(p) be the third derivative of -p**6/2520 + p**5/140 - 5*p**4/168 - 46*p**3/3 - 128*p**2. Let b(g) be the first derivative of h(g). Factor b(l).
-(l - 5)*(l - 1)/7
Let a = -35 - -31. Let x(s) = 2*s + 11. Let t be x(a). Determine g so that 17*g**3 - 20*g**4 + 6*g**3 - 14*g**3 + 7*g**t = 0.
0, 4/5
Let x(n) = -3*n**2 - 98*n - 792. Let q be x(-18). Let w be 60/25*(-1)/(-3). Factor w*u**4 + 12/5*u**3 + 8/5*u + q - 4*u**2 - 4/5*u**5.
-4*u*(u - 1)**3*(u + 2)/5
Let d(q) be the second derivative of -q**5/4 - 25*q**4/4 - 110*q**3/3 - 2*q - 906. What is y in d(y) = 0?
-11, -4, 0
Factor 22*g - 212 - 98 + 78 - g + 3*g**2 - 2*g**2.
(g - 8)*(g + 29)
Solve 6744/7*t + 5685192/7*t**2 + 2/7 = 0.
-1/1686
Suppose 1485/4 + 1/4*p**2 + 151/2*p = 0. What is p?
-297, -5
Let u = -180/11 + 1091/66. Let r(z) be the first derivative of 1/2*z**4 - 4/9*z**3 + 1/18*z**6 - 17 + 0*z + u*z**2 - 4/15*z**5. Factor r(b).
b*(b - 1)**4/3
Let g = -248 - -250. Solve 30*u**4 - 83*u**2 - 3*u + 41*u**g + 12*u**2 + 3*u**3 = 0 for u.
-1, -1/10, 0, 1
Let u = 5137 - 5135. Factor -2/3*t**u - 4/3 - 7/3*t + 1/3*t**3.
(t - 4)*(t + 1)**2/3
Let f(p) be the second derivative of 0*p**2 - 84*p + 0 + 0*p**3 + 0*p**4 - 1/10*p**5 - 1/6*p**6. Determine r, given that f(r) = 0.
-2/5, 0
Let m(p) be the first derivative of -p**5/45 - 2*p**4/3 - 6*p**3 - 141*p**2/2 + 162. Let y(q) be the second derivative of m(q). F