v - 2*q**3 + q**2 - 9*q**2 = 0 for q.
0, 17
Solve 1/3*k**4 + 3328 + 5344/3*k + 269*k**2 + 16*k**3 = 0 for k.
-16, -13, -3
Let h = 16 - 13. Suppose -z + 4*f = -0*f - 24, -h*f = -4*z + 109. Factor 4*m**4 + z*m**3 - 18*m**2 + 14*m**2 - 28*m**2.
4*m**2*(m - 1)*(m + 8)
Let q(p) = 5*p**2 + 5*p - 6. Let h(k) = -5*k**2 - 2*k + 2. Let j(m) = 2*m**2 + m. Let d(b) = h(b) + 2*j(b). Let x(y) = 6*d(y) + 3*q(y). Factor x(f).
3*(f + 2)*(3*f - 1)
Let s(y) be the second derivative of 70*y - 9/35*y**5 + 0 - 2/21*y**6 - 1/3*y**4 - 2/147*y**7 + 0*y**2 - 4/21*y**3. Find d, given that s(d) = 0.
-2, -1, 0
Let q(p) = -9*p**3 - 2900*p**2 - 5785*p - 2890. Let s(j) = -11*j**3 - 2900*j**2 - 5785*j - 2890. Let i(t) = -3*q(t) + 2*s(t). Factor i(l).
5*(l + 1)**2*(l + 578)
What is i in -7746*i**5 - 400*i**2 + 312*i**3 - 235*i - 20*i**4 + 1920 + 7742*i**5 - 949*i = 0?
-12, -2, 2, 5
Suppose -6*i = -5*i - 10. Let s(y) = 5*y - 43. Let h be s(i). Let -6 - 7*x - h*x - 2*x - 2*x**3 - 10*x**2 + 2*x = 0. What is x?
-3, -1
Solve -90811*l**3 - 29432*l**4 + 106558*l**3 + 42577*l + 166687*l**3 - 102457*l - 563*l**5 + 1915*l**5 - 227116*l**2 - 3600 = 0 for l.
-3/26, 2, 10
Let c(i) be the first derivative of -17/6*i**2 - 1/12*i**4 - 10/9*i**3 - 64 - 8/3*i. Suppose c(f) = 0. What is f?
-8, -1
Let m = 10865/3 - 3619. Let q(k) be the first derivative of 22 + 0*k + k**4 + m*k**3 - 6*k**2. Factor q(z).
4*z*(z - 1)*(z + 3)
Let c(f) = -3*f**3 + 72*f**2 - 340*f + 336. Let h(m) = -3*m**3 + 72*m**2 - 353*m + 336. Let q(u) = 4*c(u) - 5*h(u). Let q(s) = 0. Calculate s.
1, 7, 16
Suppose -5*z - 5*y = 0, 37*z + 5*y = 39*z - 21. Solve -14/3*b**2 - 2/3*b + 4 + 2/3*b**4 + 2/3*b**z = 0.
-3, -1, 1, 2
Let t(k) be the first derivative of k**7/280 - k**6/20 + 59*k**3/3 - 33. Let m(c) be the third derivative of t(c). Factor m(q).
3*q**2*(q - 6)
Let t(i) be the third derivative of 0 - 1/20*i**6 + 0*i + 1/15*i**5 + 74*i**2 + 1/210*i**7 - 5/6*i**3 + 1/4*i**4. Solve t(r) = 0 for r.
-1, 1, 5
Let -14/5*f**3 + 3*f - 1/5*f**5 + 2/5*f**2 - 9/5 + 7/5*f**4 = 0. What is f?
-1, 1, 3
Factor -381924/7 + 2472/7*n - 4/7*n**2.
-4*(n - 309)**2/7
Let u be (-6)/9 - (3 + -12 - -5)/2. Let r(v) be the first derivative of -12*v + 2 + 8*v**2 - u*v**3. Find i such that r(i) = 0.
1, 3
Let j(u) be the third derivative of -u**9/12096 - u**8/1792 + u**6/144 + 3*u**4/2 - 9*u**2 - 3*u. Let p(c) be the second derivative of j(c). Factor p(f).
-5*f*(f - 1)*(f + 2)**2/4
Let b be (18/90)/(11 + 3792/(-360)). Factor b + 13/7*l + 4/7*l**2.
(l + 3)*(4*l + 1)/7
Solve 598/11*b**3 - 306/11*b**4 + 34/11*b + 16/11*b**5 - 342/11*b**2 + 0 = 0.
0, 1/8, 1, 17
Suppose 4*j = 3*a + 202, 4*a = -3*j + 3*a + 158. Factor -37*v**3 - 25*v**3 + 4*v**5 - j*v**4 + 6*v**3.
4*v**3*(v - 14)*(v + 1)
Let w(p) = -2*p**2 - p + 5. Let v(x) = x**2 + 704*x + 5. Let r(f) = -v(f) + w(f). Factor r(i).
-3*i*(i + 235)
Let d = 64 + -34. Factor -d*t**2 + 1715 - 735*t + 148*t**3 + 135*t**2 - 153*t**3.
-5*(t - 7)**3
Let c = 516445/3 - 172148. Factor -16/3 + 1/3*t + 16/3*t**2 - c*t**3.
-(t - 16)*(t - 1)*(t + 1)/3
Let w = 18366 - 18363. Solve -3/7*u**w - 9/7 - 3/7*u**2 + 15/7*u = 0 for u.
-3, 1
Let d = 196 - 166. Let h be 27/d*(4/6 + 1). Suppose -3 + h*t**3 + 0*t**2 - 9/2*t = 0. What is t?
-1, 2
Let k(b) = -5*b**2 + 5894*b - 4368974. Let a(m) = 9*m**2 - 11794*m + 8737946. Let y(d) = -3*a(d) - 5*k(d). Suppose y(o) = 0. Calculate o.
1478
Suppose 3*u = -3*t + 18, t = 3*t - 4*u + 6. Find w, given that -11*w**2 - 3*w - 6 - 18*w**2 + 6*w + 35*w**2 - 3*w**t = 0.
-1, 1, 2
Factor 1513*g**2 - 61295*g - 201649*g - 104544 - 5479*g**2 - 16*g**3 + 28*g**3 - 27*g**3.
-3*(g + 132)**2*(5*g + 2)
Let s(p) be the second derivative of 2/21*p**2 + 17/210*p**5 + 0 + 1/6*p**4 + 11/63*p**3 + 1/63*p**6 - 11*p. Let s(g) = 0. What is g?
-1, -2/5
Factor 765/2*h - 1/4*h**2 - 585225/4.
-(h - 765)**2/4
Let r(t) = t**2 - 64*t - 62. Let g be 1 - (-16)/(-20)*20/(-8). Let n(f) = -3*f**2 + 128*f + 126. Let v(c) = g*n(c) + 5*r(c). Determine x, given that v(x) = 0.
-1, 17
Let t(v) = v**3 + 10*v**2 + 11*v - 35. Let y be t(-8). Factor y*s**3 - 5*s + 24*s**4 + 15*s**2 - 56*s**4 - 10 + 27*s**4.
-5*(s - 2)*(s - 1)*(s + 1)**2
Factor 0 - 2/7*k**3 - 14*k + 4*k**2.
-2*k*(k - 7)**2/7
Let o = 207 + -204. Let b = -68 - -78. Suppose b*y - 131 - 2*y**o + 248 - 129 + 4*y**2 = 0. Calculate y.
-2, 1, 3
Suppose m + 9 = 34. Let g = m - 19. Solve 2*r**2 - 3 + 7 + 6*r - g - 6*r**3 = 0.
-1, 1/3, 1
Let r = -3086 + 3086. Let p(o) be the first derivative of 3/4*o**4 + r*o + 3 - 1/3*o**3 + 0*o**2. Factor p(t).
t**2*(3*t - 1)
Let w(z) be the third derivative of 1/720*z**6 + 6*z**2 + 0*z**4 + z + 0 + 0*z**3 + 1/24*z**5. Let w(x) = 0. Calculate x.
-15, 0
Suppose -3*p + 1022 + 1513 = 0. Let u = 845 - p. Factor u + 1/7*m**2 + 5/7*m.
m*(m + 5)/7
Suppose 173*k - 181*k - 9120 = 0. Let b = k - -1142. Determine f so that -6/5*f**4 + 0 - 2/5*f**b + 0*f - 2/5*f**5 - 6/5*f**3 = 0.
-1, 0
Let f be 2373/9 + 82/(-123). Suppose 269*b - f*b = 12. Factor -2/3*o**b - 4*o + 14/3.
-2*(o - 1)*(o + 7)/3
Factor -159/4 - 323/2*g**2 - 1/4*g**5 - 59/4*g**4 - 533/4*g - 165/2*g**3.
-(g + 1)**3*(g + 3)*(g + 53)/4
Let p = 238 + -225. Let -n**5 + 5928*n**3 + 5903*n - 568*n**4 + 11197*n + 18608*n**2 + p*n**5 + 5000 = 0. What is n?
-1, -2/3, 25
Determine p so that -14/9*p**2 - 8/3 - 40/9*p + 2/9*p**4 + 4/9*p**3 = 0.
-2, -1, 3
Let g(q) be the third derivative of 5*q**5/96 - 21*q**4/8 + 5*q**3/3 - 10*q**2 - 146. What is u in g(u) = 0?
4/25, 20
Let v(r) be the third derivative of r**6/660 + 13*r**5/10 + 15549*r**4/44 + 45369*r**3/11 + r**2 - 11*r + 4. Factor v(i).
2*(i + 3)*(i + 213)**2/11
Let i be ((-312)/(-1612))/(36/744). Let f(x) be the first derivative of -2/5*x**5 - 7*x**2 - 10 - 6*x**3 - 4*x - 5/2*x**i. What is m in f(m) = 0?
-2, -1
Let u(s) be the first derivative of 2*s**3/3 + 9*s**2 - 18*s - 29. Let g be u(-10). Factor 2/19*y**g - 10/19 - 8/19*y.
2*(y - 5)*(y + 1)/19
Suppose z = -2*z + 36. Let h(s) = s**3 - 13*s**2 + 16*s - 6. Let q be h(z). Factor 6*x - 3*x**2 + 50 - q + x**2.
-2*(x - 4)*(x + 1)
Let l be (-23)/(-7) + 51/(-7) + 7. Determine y, given that 88*y**4 - 172*y**4 + 87*y**4 - y**3 + 4*y**l - 27*y**2 - 27*y = 0.
-3, -1, 0, 3
Let a(z) be the first derivative of 1/2*z**5 + 0*z + 3/2*z**2 + 1/2*z**4 - 31/6*z**3 + 293. Let a(f) = 0. Calculate f.
-3, 0, 1/5, 2
Let t(z) be the third derivative of 2*z**7/105 - 19*z**6/60 - 3*z**5/5 + 19*z**4/3 + 40*z**3/3 - 4033*z**2. Find l such that t(l) = 0.
-2, -1/2, 2, 10
Let m(y) = -y**3 - 9*y**2 - 17*y + 15. Let l be m(-6). Let o be (-140)/168 - 12/l*-1. Find q such that -6 - 2*q + o*q**2 = 0.
-2, 6
Let p(v) be the third derivative of 31/108*v**4 + 10/9*v**3 - v**2 + 1/270*v**5 + 4*v + 0. Factor p(c).
2*(c + 1)*(c + 30)/9
Let u be 33/7 - 28/(-98) - (-36001)/(-10703). Determine i, given that 0 - 4/11*i - u*i**2 = 0.
-2/9, 0
Let b = -315284/9 + 315298/9. Factor -b*g + 2/9*g**5 + 4/3*g**3 + 10/9*g**4 - 2/3 - 4/9*g**2.
2*(g - 1)*(g + 1)**3*(g + 3)/9
Let r(y) be the first derivative of 7*y**6/480 + 83*y**5/120 + 113*y**4/96 - 23*y**3/12 + 56*y**2 - 27. Let d(o) be the second derivative of r(o). Factor d(n).
(n + 1)*(n + 23)*(7*n - 2)/4
Let q = -14903 + 14906. Let f(a) be the third derivative of 16*a**2 + 0 - 5/12*a**4 + 5*a**q + 1/72*a**5 + 0*a. Find c, given that f(c) = 0.
6
Let j = 266033327/934967490 - 30/724781. Let x = 2/129 + j. Determine z so that 1/10 - 3/10*z + x*z**2 - 1/10*z**3 = 0.
1
Let i(l) be the second derivative of -l**5/4 - 59*l**4/6 - 86*l**3/3 + 44*l**2 - 265*l + 1. Factor i(u).
-(u + 2)*(u + 22)*(5*u - 2)
Suppose -6333*b**4 - 240*b - 8*b**5 - 228*b**2 + 6401*b**4 + 103*b**3 + 37*b**3 + 52*b**2 = 0. Calculate b.
-2, -1, 0, 3/2, 10
Let i(v) = -26*v + 776. Let k be i(27). Suppose 17 - k = -19*a. Factor 1/4*m**a + 0 + 5/4*m**2 + 3/2*m.
m*(m + 2)*(m + 3)/4
Let k = -141 + 146. Factor -13*l**3 - 4*l + 12*l**2 + 4*l**4 - k*l**3 + 6*l**3.
4*l*(l - 1)**3
Let i(j) be the third derivative of -5*j**8/112 + 38*j**7/21 + 59*j**6/24 - 46*j**5/3 + 65*j**4/6 + 2596*j**2. Solve i(s) = 0 for s.
-2, 0, 1/3, 1, 26
Let y(d) be the third derivative of 0*d**3 - 1/15*d**5 + 114*d**2 + 0 + 0*d + 1/2*d**4. Factor y(v).
-4*v*(v - 3)
Factor -73*f - f**2 - 219*f - 3*f**2 - 164 - 257 - 147.
-4*(f + 2)*(f + 71)
Let n(z) be the first derivative of 3/22*z**4 - 