*2 - 71*q. Determine o so that u(o) = 0.
-6, -5
Suppose 0 = 5*w - 10, -2*h - 2*w = -27 - 17. Factor -191 - 3*x**2 + 191 - 15*x**3 - 2*x**2 + h*x**4.
5*x**2*(x - 1)*(4*x + 1)
Let o = -6 + 7. Let j be (-3 + (o - 0))*-1. Factor -53 + j*p**4 + 53 + 2*p**2 - 4*p**3.
2*p**2*(p - 1)**2
Let p(x) be the first derivative of -11 - 4/3*x**6 + 0*x + 0*x**3 + 0*x**2 - 3*x**4 - 4*x**5. Determine f, given that p(f) = 0.
-3/2, -1, 0
Let v(b) = -b**2 - 8*b + 5. Let f be v(-9). Let m be 2*(f + (4 - -1)). Let 4/5 + h**m - 8/5*h - 1/5*h**3 = 0. What is h?
1, 2
Determine u, given that 2*u**2 + 56/9 - 20/3*u - 1/9*u**3 = 0.
2, 14
Determine i so that 27*i - 2168*i**3 + 34*i + 38*i**2 + 18 + 2163*i**3 = 0.
-1, -2/5, 9
Let n(o) be the third derivative of -o**8/5040 + o**7/1260 - o**6/1080 + 4*o**3/3 + 10*o**2. Let d(x) be the first derivative of n(x). Factor d(i).
-i**2*(i - 1)**2/3
Let y(l) be the third derivative of 0*l + 1/6*l**3 + 0 + 1/8*l**4 + 1/48*l**5 + 6*l**2. Let y(z) = 0. What is z?
-2, -2/5
Let v(s) be the first derivative of -3*s + 5/2*s**2 + 11/3*s**3 + 3/4*s**4 - 14. Solve v(a) = 0 for a.
-3, -1, 1/3
Let h(u) be the second derivative of 1/7*u**7 - 21*u - 5*u**4 - 17/5*u**5 + 5*u**2 + 0 - 1/3*u**3 - 7/15*u**6. Factor h(o).
2*(o - 5)*(o + 1)**3*(3*o - 1)
Factor 3*y**4 + 24471*y - 24471*y - 66*y**2 - 27*y**3.
3*y**2*(y - 11)*(y + 2)
Let v(t) be the third derivative of -t**6/600 + 37*t**5/100 - 27*t**4 + 1458*t**3/5 + 3*t**2 + 177. Factor v(u).
-(u - 54)**2*(u - 3)/5
Let g be 299/26 - 12 - 9/(-2). Let i(z) be the second derivative of 3/5*z**2 + 1/30*z**g + z + 4/15*z**3 + 0. What is f in i(f) = 0?
-3, -1
Factor 0 - 1/4*n**2 - 3*n.
-n*(n + 12)/4
Let q(s) = -s**3 - s**2 - s + 1. Let c(v) = -8*v**3 + 28*v**2 - 24*v - 52. Let k(b) = c(b) - 4*q(b). Factor k(p).
-4*(p - 7)*(p - 2)*(p + 1)
Suppose -3*f - 194 = -5*f. Let b = 197/2 - f. Factor -2 + b*d**2 + 0*d + 1/2*d**3.
(d - 1)*(d + 2)**2/2
Factor -18 + 3*u**2 - 20 + 18*u + 68 + 3*u.
3*(u + 2)*(u + 5)
Factor -39551 - 4*q**2 + 4*q + 39551.
-4*q*(q - 1)
Let g(l) = -9*l - 69. Let x be g(-8). Suppose 1 = k - x. Factor -2/11*u**3 + 2/11*u + 2/11*u**2 - 2/11*u**k + 0.
-2*u*(u - 1)*(u + 1)**2/11
Suppose -q - 32 = 42 - 76. Factor 8/17 + 2/17*v**3 + 12/17*v**q + 18/17*v.
2*(v + 1)**2*(v + 4)/17
Let k(p) = -40*p**2 - 500*p - 600. Let q(c) = -7*c**2 - 83*c - 100. Let b(u) = -6*k(u) + 35*q(u). Determine w, given that b(w) = 0.
-1, 20
Let w(i) be the first derivative of i**6/21 - 12*i**5/35 + 6*i**4/7 - 20*i**3/21 + 3*i**2/7 + 110. What is d in w(d) = 0?
0, 1, 3
Factor -32/3*k - 2/3*k**2 + 24.
-2*(k - 2)*(k + 18)/3
Let y(w) be the second derivative of w**7/2520 - w**6/120 - 2*w**4 - 3*w. Let u(s) be the third derivative of y(s). Solve u(r) = 0.
0, 6
Suppose 70 = -669*k + 683*k. Let -1/8*o**3 + 1/2 - 7/8*o**2 + 0*o + 1/8*o**k + 3/8*o**4 = 0. Calculate o.
-2, -1, 1
Let k(r) be the first derivative of -r**6/1440 + r**5/80 - 3*r**4/32 + 4*r**3/3 + 25. Let g(j) be the third derivative of k(j). Factor g(f).
-(f - 3)**2/4
Factor 6 + 20/3*y**2 - 2*y**4 + 4*y**3 - 14*y - 2/3*y**5.
-2*(y - 1)**3*(y + 3)**2/3
Let d(t) = t**2 + t. Let o(b) = 18*b**2 + 36*b + 18. Let h(q) = -3*q**2 + 22*q - 9. Let g be h(6). Let l(i) = g*d(i) - o(i). Factor l(f).
-3*(f + 1)*(f + 6)
Suppose -v + 6*v - 4*o - 197 = 0, -4*o = -v + 49. Let 3*d**4 - 3*d**5 + 0*d + 3 - 31*d**3 - 6*d**2 - 3*d + v*d**3 = 0. What is d?
-1, 1
Let m = 15 + -11. Suppose -m*v + 7*u - 8 = 2*u, -5*u + 32 = 4*v. Factor 4*c**5 - 9*c**v + c**3 - 8*c**5 + 191*c**4 - 179*c**4.
-4*c**3*(c - 2)*(c - 1)
Factor 4/3*c**2 + 17956/3 + 536/3*c.
4*(c + 67)**2/3
Let x(t) = 23*t**2 - 262*t + 41. Let l(q) = 25*q**2 - 260*q + 40. Let s(z) = -6*l(z) + 5*x(z). Suppose s(n) = 0. Calculate n.
1/7, 7
Suppose 4*k - 20 = 5*l, k - 5 = l + 3*l. Factor 6*q**3 - 2*q**4 + 2*q**k + 8*q**4 + 32*q**2 - 30*q**2.
2*q**2*(q + 1)**3
Let l(v) = -194*v**2 - 105*v - 4. Let u(z) = -583*z**2 - 315*z - 13. Let b(g) = 17*l(g) - 6*u(g). Factor b(p).
5*(5*p + 2)*(8*p + 1)
Let p(i) be the third derivative of 6*i**2 + 3 + 0*i**3 + 0*i - 11/36*i**4 - 1/9*i**5 + 1/180*i**6. Find b such that p(b) = 0.
-1, 0, 11
Let r = -82 - -87. Suppose -3 = 3*h - r*k + 4*k, -h + 3 = k. Determine i, given that -1/5*i**3 + h*i**2 + 0*i + 0 = 0.
0
Let s(u) be the first derivative of -25*u**4 + 680*u**3 - 4032*u**2 - 25088*u + 389. Factor s(j).
-4*(j + 2)*(5*j - 56)**2
Let p = -1/4298 + 8601/21490. Factor 0 + 7/5*u**3 - 1/5*u + 4/5*u**4 + p*u**2.
u*(u + 1)**2*(4*u - 1)/5
Suppose 2*k + 20 = 4*y, 4*k = 5*y + k - 27. Solve -29*i**2 + 0*i + 3*i**y + 4*i - 3*i + 25*i**2 = 0.
0, 1/3, 1
Let b(w) be the third derivative of -w**10/30240 + w**8/4032 + 13*w**5/20 + 17*w**2. Let z(p) be the third derivative of b(p). Factor z(m).
-5*m**2*(m - 1)*(m + 1)
Let m be (1/10)/((-42)/(-1015)). Let n = m + -7/4. Suppose n*a**2 + 2/9*a**3 + 2/9 + 2/3*a = 0. What is a?
-1
Let x(u) = 3*u - 41. Let q be x(23). Find o such that 6*o**4 - 72 - 90*o**2 - q*o**3 - 8*o**4 + 68*o**2 - 168*o - 100*o**2 = 0.
-6, -1
Let t = -712 + 714. Find w, given that -2/5*w**3 + 7/5*w**t - 4/5 - 4/5*w = 0.
-1/2, 2
Let p = -398 + 14329/36. Let b(j) be the second derivative of -1/72*j**4 + 0 + 1/12*j**2 + p*j**3 - 1/120*j**5 + 3*j. Let b(k) = 0. What is k?
-1, 1
Let l(w) = -w**4 - 41*w**3 + 151*w**2 - 187*w + 72. Let o(q) = -42*q**3 + 152*q**2 - 186*q + 72. Let g(v) = 2*l(v) - 3*o(v). Factor g(k).
-2*(k - 18)*(k - 2)*(k - 1)**2
Let s(i) be the third derivative of -i**5/15 - i**4/6 + 40*i**3/3 + 118*i**2. Suppose s(h) = 0. Calculate h.
-5, 4
Let u be ((-2000)/616)/(-10) + 2/(-14). Solve 2/11*i**2 + u*i + 0 = 0.
-1, 0
Let r = -44557/818 + -12/409. Let u = 55 + r. Factor 3/2*b - 1 - u*b**2.
-(b - 2)*(b - 1)/2
Let j(a) be the third derivative of 0*a**3 - 1/20*a**4 - 1/50*a**6 + 0 - 1/350*a**7 + 0*a + 8*a**2 - 1/20*a**5. Determine n so that j(n) = 0.
-2, -1, 0
Let p = 171816 - 16837813/98. Let o = p + -4/49. Find x such that 3/2*x + 3/2*x**4 + 0 - 3/2*x**3 - o*x**2 = 0.
-1, 0, 1
Let c(i) be the first derivative of -i**6/630 - i**5/70 + 5*i**3 - 25. Let m(t) be the third derivative of c(t). Suppose m(p) = 0. Calculate p.
-3, 0
Let f(d) be the first derivative of d**2 + 25/8*d**3 + 0*d + 5/16*d**4 + 1/80*d**5 + 12. Let k(o) be the second derivative of f(o). Suppose k(y) = 0. What is y?
-5
Let a(u) be the first derivative of u**4/24 + 2*u**3/9 + u**2/3 + 9. What is r in a(r) = 0?
-2, 0
Solve -105 + 3*z**2 + 91*z + 40*z - 233*z = 0.
-1, 35
Factor 13*a**2 - 30 + 5*a**4 + 12*a**2 + 3*a**3 - 16*a**3 - 22*a**3 + 35*a.
5*(a - 6)*(a - 1)**2*(a + 1)
Let g(k) be the first derivative of k**5/45 + 5*k**4/18 - 4*k**3/3 + 11*k**2 - 6. Let i(z) be the second derivative of g(z). What is x in i(x) = 0?
-6, 1
Suppose 5*u = -2*x - 6, x + 2*x - 5*u - 16 = 0. Determine z, given that -16/3*z**x + 0 - 2/3*z - 26/3*z**3 - 4*z**4 = 0.
-1, -1/6, 0
Let x(r) be the third derivative of r**5/140 + 19*r**4/28 - 39*r**3/14 + 12*r**2. Solve x(d) = 0 for d.
-39, 1
Let w(j) = -5 - 3*j**3 - 6*j**3 - 6 + 4*j**2 + 11*j. Let d(l) = 8*l**3 - 4*l**2 - 12*l + 12. Let y(s) = 5*d(s) + 4*w(s). Determine o, given that y(o) = 0.
-2, 1, 2
Let v(l) = -l - 15. Let x be v(-17). Factor 5*q**4 + 42*q**3 - 6*q**2 - 22*q**3 + 26*q**x.
5*q**2*(q + 2)**2
Let a(v) be the first derivative of v**3/3 - 9*v**2/2 + 14*v - 41. Solve a(p) = 0.
2, 7
Let z(w) = 119*w + 597. Let t be z(-5). Let -4/15*f**3 - 2/15*f**4 + 4/15*f + 0 + 2/15*f**t = 0. What is f?
-2, -1, 0, 1
Factor -38/7*m - 2/7*m**3 + 24/7 + 16/7*m**2.
-2*(m - 4)*(m - 3)*(m - 1)/7
Let f be (-20)/30 + (-1)/3. Let s be (f/5)/(2*-1 - -1). Determine q, given that 0*q**3 + 1/5*q**5 + 0*q + 0 + s*q**4 + 0*q**2 = 0.
-1, 0
Let k be (44/(-12) - -4) + (-1 - (-160)/204). Solve 26/17*h**2 + 12/17*h + k*h**4 + 16/17*h**3 + 0 = 0.
-6, -1, 0
Let o(m) be the third derivative of -m**6/120 - 11*m**5/15 - 121*m**4/6 - m**2 + 509*m. Solve o(p) = 0 for p.
-22, 0
Let h(g) = 2*g**3 + 30*g**2 - 6*g - 6. Let n(k) = -5*k**3 - 91*k**2 + 16*k + 16. Let o(l) = -8*h(l) - 3*n(l). Factor o(d).
-d**2*(d - 33)
Solve -20/3 - 28*x - 16/3*x**2 = 0 for x.
-5, -1/4
Let k(i) be the first derivative of -i**6/120 - i**5/80 + i**4/48 + i**3/24 - 5*i + 10. Let q(f) be the first derivative of k(f). Factor q(t).
-t*(t - 1)*(t + 1)**2/4
Let t(a) be the third 