culate a.
-1, 1
Let x(k) be the second derivative of k**4/66 - 2*k**3/33 - 8*k**2/11 - 75*k - 1. Factor x(u).
2*(u - 4)*(u + 2)/11
Suppose h + 3*h + 4 = 0. Let t be (2/(-14))/(3/15) - h. Determine y, given that t*y**3 + 0*y - 6/7*y**2 + 0 = 0.
0, 3
Find v, given that -6*v**4 + 27*v + 4*v**4 + 0*v**4 - v**3 - 22*v**2 + 13*v**3 - 15*v = 0.
0, 1, 2, 3
Suppose 133*r + 3 = 134*r. Let k be -3 - ((-95)/15 + r). Factor 1/3*i + k*i**2 + 0.
i*(i + 1)/3
Let k(p) be the second derivative of 2*p**6/35 - 47*p**5/35 + 85*p**4/7 - 50*p**3 + 500*p**2/7 - 69*p. Solve k(j) = 0.
2/3, 5
Let i(n) be the third derivative of -n**8/504 - 31*n**7/315 - 28*n**6/45 - 6*n**5/5 + 9*n**2 - 48. Solve i(s) = 0.
-27, -2, 0
Find w such that 0*w**2 - 6/7*w**5 + 0*w - 3/7*w**3 + 0 + 9/7*w**4 = 0.
0, 1/2, 1
Let v(s) be the first derivative of -1/14*s**4 + 0*s - 15 - 1/35*s**5 + 1/7*s**2 + 1/21*s**3. Factor v(m).
-m*(m - 1)*(m + 1)*(m + 2)/7
Let y(d) = d**3 - 2*d**2 + d + 1. Let c(r) = 3*r**3 - 7*r**2 + 14*r + 12. Let a(t) = -c(t) + 4*y(t). Determine k, given that a(k) = 0.
-2, -1, 4
Factor 25*x - 54 - 19*x**2 + 36*x**2 + 8*x - 20*x**2.
-3*(x - 9)*(x - 2)
Let o(h) be the third derivative of h**7/105 + 7*h**6/60 - h**5/10 - 19*h**4/12 + 14*h**3/3 - 6*h**2. Determine n, given that o(n) = 0.
-7, -2, 1
Let h be 208/32 - (-2)/(-4). Factor h*x**2 - 3*x**2 - 6*x - 6*x + 9.
3*(x - 3)*(x - 1)
Factor 2*a**5 - 15*a**3 - 256*a**4 + a**5 - 2*a**3 + a**5 + 269*a**3.
4*a**3*(a - 63)*(a - 1)
Let q(x) be the second derivative of -65*x**4/12 - 5*x**3/2 - 31*x. Let q(l) = 0. What is l?
-3/13, 0
Factor -1114*h + 539*h + 527*h - 84 - 3*h**2.
-3*(h + 2)*(h + 14)
Suppose 5*z**2 - 18*z + 4*z**4 - 2*z**5 - 8 - 219*z**3 + z**4 - 2*z**4 + 239*z**3 = 0. What is z?
-2, -1, -1/2, 1, 4
Let n be 42/(-4) - 11186/(-987). Suppose 0 + 5/6*f + n*f**3 + 5/3*f**2 = 0. Calculate f.
-1, 0
Let y(r) be the second derivative of -r**7/3360 + r**6/360 + r**5/480 - r**4/24 + r**3/2 - 12*r. Let j(a) be the second derivative of y(a). Factor j(z).
-(z - 4)*(z - 1)*(z + 1)/4
Let r(s) be the third derivative of -1/240*s**5 + 0*s + 1/96*s**4 + 19*s**2 + 0 + 0*s**3. Factor r(x).
-x*(x - 1)/4
Let c = 21 + -26. Let s = 5 - c. Factor -6*p**3 + s*p**3 - 4 + 0*p**3 + 12*p - 12*p**2.
4*(p - 1)**3
Let y(b) be the first derivative of -343*b**4/8 - 3724*b**3 - 121296*b**2 - 1755904*b - 356. Factor y(v).
-(7*v + 152)**3/2
Factor 2/3*h - 8/9*h**2 + 0 + 2/9*h**3.
2*h*(h - 3)*(h - 1)/9
Suppose -9/2*r**2 - 29/2*r - 3 = 0. What is r?
-3, -2/9
Let t(m) be the first derivative of 4*m**3/3 + 178*m**2 + 352*m + 181. Determine z so that t(z) = 0.
-88, -1
Let l be ((-24)/(-45))/(-5*8/(-60)). Let 0 - l*u**4 + 4/5*u**2 + 0*u**3 + 2/5*u - 2/5*u**5 = 0. What is u?
-1, 0, 1
Let n(s) be the third derivative of s**8/588 - 4*s**7/735 - 4*s**6/105 + 6*s**5/35 - 3*s**4/14 + 82*s**2. Find j, given that n(j) = 0.
-3, 0, 1, 3
Let a(v) = -2*v**2 + 1. Let y(z) = -5*z**2 - 27*z - 24. Let l(o) = -2*a(o) + y(o). Factor l(u).
-(u + 1)*(u + 26)
Let r = 34 + -43. Let j be ((-2)/44)/(r/(-6))*-12. Solve -2/11*y**4 + 2/11*y**3 + j*y**2 + 0*y + 0 = 0.
-1, 0, 2
Let o(q) be the first derivative of -q**4 - 28*q**3/3 - 16*q**2 + 64*q - 204. Determine f so that o(f) = 0.
-4, 1
Let t be 6/(26*(-1)/(-2)). Let f be 46/(-184)*(-24)/39. Factor -20/13*m - t - f*m**4 - 24/13*m**2 - 12/13*m**3.
-2*(m + 1)**3*(m + 3)/13
Let n(g) = -g**2 + 4*g + 120. Let q be n(0). Suppose 0*i**2 - q + 4*i**2 + 136 - 7*i - 9*i = 0. What is i?
2
Factor 0 - 2/5*c**2 - 6/5*c.
-2*c*(c + 3)/5
Suppose -63 = 3*l - 30. Let r be (-7 + 6)*2 + (-30)/l. Factor -r*d**2 + 2*d + 6/11.
-2*(d - 3)*(4*d + 1)/11
Let q be (-53)/(-6) + 2/12. What is t in q*t**4 + 0*t**5 + 8*t**3 - 28*t**5 + 11*t**4 = 0?
-2/7, 0, 1
Solve 2/3*x**3 - 2/3*x + 0 + 0*x**2 = 0 for x.
-1, 0, 1
Suppose -21*k**2 + 42*k**2 - 126 - 24*k**2 + 69*k = 0. Calculate k.
2, 21
Let f = -19 - 29. Let d = f + 51. Let 0*a - 1/2*a**d + 0*a**2 + 0 = 0. What is a?
0
Let p be 18/(-2 - 0)*442/(-102). Let z be (p/(-9) - -4)*0. Factor z + 3/4*v**2 - 3/4*v.
3*v*(v - 1)/4
Let t(o) be the first derivative of -o**6/2 + 3*o**5/20 + 4*o**4/5 + 2*o**3/5 + 34*o - 39. Let y(x) be the first derivative of t(x). Solve y(i) = 0 for i.
-2/5, 0, 1
Let q(f) = f**3 + 44*f**2 + 17*f - 242. Let y(o) = 45*o**2 + 15*o - 240. Let m(g) = 5*q(g) - 4*y(g). Suppose m(b) = 0. Calculate b.
-5, 2
Suppose 3/2 - 1/2*t**2 + 1/4*t**3 - 5/4*t = 0. Calculate t.
-2, 1, 3
Let x be 1/(-4)*-4 - (672/70)/16. Factor 0 - x*i + 8/5*i**3 + 3/5*i**4 + 3/5*i**2.
i*(i + 1)*(i + 2)*(3*i - 1)/5
Suppose -3*k + q = -435, -3*k + 3*q - 4*q + 435 = 0. Let w be 1/2 + (5 - k/30). Factor 1/3 - w*i + 1/3*i**2.
(i - 1)**2/3
Suppose 4*a = l + 1, -72*a + 74*a - 5*l - 5 = 0. Suppose -x + 3 = 2*w + 2, -25 = -5*w + 5*x. Let -1/4*y**4 + 0 + a*y - 3/4*y**w - y**3 = 0. Calculate y.
-3, -1, 0
Let k = 521/3 + -173. Let o(x) be the second derivative of -4*x + 0 + 0*x**3 + 1/36*x**4 - k*x**2. Factor o(z).
(z - 2)*(z + 2)/3
Let g(v) = -9*v - 43. Let k be g(-5). Let x(y) be the first derivative of -2*y**2 + k*y**3 - 2/5*y**5 + 1 + 0*y + 0*y**4. Suppose x(t) = 0. What is t?
-2, 0, 1
Let c = 599/378 - 16/189. Factor c - 5*z + 3/2*z**2.
(z - 3)*(3*z - 1)/2
Let i(n) be the third derivative of -6*n**2 + 0 + 1/15*n**6 + 0*n - 2/105*n**7 - 1/3*n**4 + 0*n**5 + 2/3*n**3. Factor i(q).
-4*(q - 1)**3*(q + 1)
Let j(p) be the second derivative of 5*p**7/42 - 2*p**6/3 + 3*p**5/4 + 5*p**4/3 - 10*p**3/3 - 7*p + 22. Suppose j(z) = 0. What is z?
-1, 0, 1, 2
Let n be 2 + 45/(-20) + 1/4. Let t(m) be the third derivative of 0*m + 0*m**5 + 1/160*m**6 + 8*m**2 + n + 0*m**3 - 1/32*m**4. Let t(j) = 0. Calculate j.
-1, 0, 1
Let q(k) be the second derivative of -1/120*k**5 - 1/12*k**3 - 5/2*k**2 - 1/24*k**4 + 0 + 3*k. Let l(a) be the first derivative of q(a). Factor l(d).
-(d + 1)**2/2
Suppose -5*j = 5*d + 45, -2*j + 3*j = -5*d - 29. Let f(l) = -4*l - 12. Let x be f(d). Solve 2*k**3 + 0*k**5 - x*k**3 - k**4 - 3*k**5 - 8*k**4 = 0.
-2, -1, 0
Suppose -5574*f = -5490*f - 168. Let -58/3*x - 88/9*x**f - 4 + 284/9*x**3 - 44/3*x**4 + 2*x**5 = 0. What is x?
-1/3, 2, 3
Let n(q) be the third derivative of -1/96*q**4 - 9*q**2 + 1/480*q**6 + 0*q**5 - 1/1680*q**7 + 0*q + 1/48*q**3 + 0. Determine z so that n(z) = 0.
-1, 1
Let r(n) be the third derivative of n**6/24 + 5*n**5/4 - 55*n**4/8 + 85*n**3/6 - 68*n**2. What is k in r(k) = 0?
-17, 1
Suppose -3*p + 4*m = 4 - 12, 5*p + 4 = -2*m. Find i, given that 1/2*i**4 + 1/2*i**2 + 0 + 3/4*i**5 - 7/4*i**3 + p*i = 0.
-2, 0, 1/3, 1
Factor 0 - 52*g - 1/2*g**2.
-g*(g + 104)/2
Let v(g) be the second derivative of -27*g - 2/21*g**3 + 0 + 4/7*g**2 - 1/21*g**4. Find q, given that v(q) = 0.
-2, 1
Solve 18/5*l**2 + 2/5*l**3 - 10 + 6*l = 0 for l.
-5, 1
Factor 2/3 - 23/6*f**3 - 29/6*f**2 + 7/6*f**5 + 5/6*f**4 - 2/3*f.
(f - 2)*(f + 1)**3*(7*f - 2)/6
Suppose -109*h - 158 + 485 = 0. Find z such that 0*z**2 + 0*z + 3/4*z**5 + 0 + 3/2*z**h + 9/4*z**4 = 0.
-2, -1, 0
Suppose -13*i + 9*i + 8 = 0. Suppose -m + 4 = 1, y + 2 = i*m. Factor 18/5*s**3 + 12/5*s**2 + 8/5*s**y + 0 + 2/5*s.
2*s*(s + 1)**2*(4*s + 1)/5
What is r in -1/4*r**4 - 1/2*r**3 + 0*r**2 + 1/2*r + 1/4 = 0?
-1, 1
Let r = 64719254677/1455 - 44480577. Let i = -2/291 + r. Solve -16/5*s**3 - 8/5 - i*s**2 - 44/5*s = 0 for s.
-2, -1, -1/4
Let p = 787/12 - 196/3. Let 1 - 5/4*c**2 - 5/4*c**3 + p*c**4 + c + 1/4*c**5 = 0. Calculate c.
-2, -1, 1, 2
Factor 2/7*k**2 + 2/7*k**5 + 6/7*k**4 + 0*k + 0 + 6/7*k**3.
2*k**2*(k + 1)**3/7
Let h(o) = -2*o**3 + o**2 - 3*o - 1. Let j(u) = -3*u**4 - 19*u**3 + 32*u**2 + 66*u - 5. Let r(p) = 5*h(p) - j(p). Factor r(x).
3*x*(x - 3)*(x + 3)**2
Let u(j) be the second derivative of j**8/560 - j**7/70 + j**6/40 + j**5/10 - j**4/2 + 8*j**3/3 + 3*j. Let v(l) be the second derivative of u(l). Factor v(k).
3*(k - 2)**2*(k - 1)*(k + 1)
Let i = 153 + -153. Let s(w) be the second derivative of -1/10*w**2 - 1/15*w**3 + i + 5*w - 1/60*w**4. Find l such that s(l) = 0.
-1
Suppose -20*q + 36 = -14*q. Let -4 + 10*c + 3*c**5 + 9*c**4 - 6*c**2 + q*c**3 - 19*c + 1 = 0. Calculate c.
-1, 1
Find d such that 33/7*d**2 - 12*d**5 + 27/7*d - 207/7*d**4 - 123/7*d**3 - 6/7 = 0.
-1, 1/4, 2/7
Let -2/5*i**3 - 4/5*i + 2*i**2 - 16/5 = 0. Calculate i.
-1, 2, 4
Let o(q) = 5*q**3 - 155*q**2 - 90*q - 35. Let v be (-12)/