9127*o**5 = 0.
-1, 1, 3, 13
Let h(t) be the second derivative of -t**7/210 - 2*t**6/25 - 12*t**5/25 - 41*t**4/30 - 21*t**3/10 - 9*t**2/5 + 1031*t. Determine r so that h(r) = 0.
-6, -3, -1
Let i(y) be the third derivative of y**6/240 + 233*y**5/120 + 14351*y**4/48 + 89383*y**3/12 - 2*y**2 - 82*y - 53. Factor i(a).
(a + 7)*(a + 113)**2/2
Suppose -4*x = -b + 36, -4*b + 5*x + 431 = 386. Determine d, given that b - 1/3*d**2 + 10/3*d = 0.
0, 10
Suppose 5*n + 0*j + 8 = -2*j, -5*j - 20 = -3*n. Suppose 2*l = q - 3*q + 2, -4*q + 4*l + 12 = n. Factor 0 + 3/8*p**q - 3/4*p.
3*p*(p - 2)/8
Find z such that 220750 - 5*z**2 - 365*z + 221466 - 440676 = 0.
-77, 4
Let p(k) be the first derivative of -13*k**4/3 + 14*k**3/9 - 1194. Factor p(t).
-2*t**2*(26*t - 7)/3
Let n be (9/(-1))/3 - -4. Let t(a) = a - 3*a + n + a + a**2. Let p(c) = 9*c**2 - 18*c + 18. Let d(o) = -p(o) + 6*t(o). Factor d(k).
-3*(k - 2)**2
Let p(m) be the second derivative of m**6/6 - 53*m**5/2 + 1045*m**4/12 - 260*m**3/3 + 5*m + 12. Factor p(i).
5*i*(i - 104)*(i - 1)**2
Factor 6*w**2 - 84*w - 5*w**2 + 11*w - 1600 - 2*w**2 - 7*w.
-(w + 40)**2
Let z(r) be the third derivative of -r**8/90720 + r**7/1890 - r**6/162 + 5*r**5/12 - r**4/12 + 8*r**2. Let c(d) be the third derivative of z(d). Factor c(k).
-2*(k - 10)*(k - 2)/9
Let o(v) be the first derivative of 1/3*v**3 + 1/2*v**2 + 2 + 0*v. Let g(n) = -n**3 + n**2 + 4*n + 2. Let x(y) = 2*g(y) - 2*o(y). Factor x(t).
-2*(t - 2)*(t + 1)**2
Let -1/2*h**3 + 40 - 49*h + 19/2*h**2 = 0. What is h?
1, 8, 10
Let g(m) = 12*m**3 + 951*m**2 + 1677*m - 7209. Let y(u) = 3*u**3 + 237*u**2 + 420*u - 1802. Let v(n) = -2*g(n) + 9*y(n). Factor v(a).
3*(a - 2)*(a + 4)*(a + 75)
Let y be 25/30 - ((-19)/6 + -1). Suppose 8 = 2*x - 4*g, x - 4*x + y*g + 11 = 0. Solve 3/4*r**x + 0 - 1/2*r = 0 for r.
0, 2/3
Let 0 + 1/6*p**3 + 13/3*p**2 + 169/6*p = 0. Calculate p.
-13, 0
Suppose 2*l - t = 3*t - 504, 0 = -4*l + 4*t - 1016. Let n be -7 - (0/1 + l/28). Factor -3*x - 3/7*x**4 - 6/7 - 27/7*x**2 - n*x**3.
-3*(x + 1)**3*(x + 2)/7
Let i be (-12 - (-258)/21)*((-31)/(-124))/(6/21). Find b such that -9*b**2 + 0*b + i*b**4 + 0 - 4*b**3 = 0.
-2, 0, 18
Let z(f) = -3*f**2 - 30*f - 12. Let p be z(-8). Factor 18*s**3 + 45*s**2 - 24 - 36 + p*s**3 - 29*s**3 - 40*s.
5*(s + 1)*(s + 2)*(5*s - 6)
What is n in 10*n**3 + 52/5 - 10*n + 2/5*n**4 - 54/5*n**2 = 0?
-26, -1, 1
Factor -276/5*t**3 + 108*t**2 + 0 + 4/5*t**4 - 268/5*t.
4*t*(t - 67)*(t - 1)**2/5
Let o(n) be the second derivative of 32/21*n**3 + 2*n - 32 + 8/7*n**2 + 3/35*n**5 + 13/21*n**4. Factor o(i).
4*(i + 2)**2*(3*i + 1)/7
Suppose -30 = -12*w + 52*w - 590. Let z(y) be the first derivative of 4/15*y**3 + 8/5*y**2 - w + 16/5*y. Factor z(p).
4*(p + 2)**2/5
Let d(v) be the second derivative of v**6/300 - 13*v**5/150 - 2*v**2 + 66*v. Let g(k) be the first derivative of d(k). Factor g(r).
2*r**2*(r - 13)/5
Let y(q) be the first derivative of q**6/18 - 10*q**5/3 + 673*q**4/12 - 400*q**3/3 + 96*q**2 + 8156. Factor y(h).
h*(h - 24)**2*(h - 1)**2/3
Suppose 7*o = 9 + 5. Suppose -q + 6 = o*q. Factor 3*z**2 + z - q + 2*z**3 + z**3 - 1 - 4*z.
3*(z - 1)*(z + 1)**2
Let q = 33 - 31. Let n be (2/(-5))/(q/(-10)). Factor y**5 - y**4 + y**3 + 0*y**3 + 0*y**5 + 5*y**2 - 4*y**3 - n*y.
y*(y - 1)**3*(y + 2)
Let u(x) be the first derivative of -12*x**5/5 + 47*x**4 - 116*x**3/3 - 30*x**2 + 1024. Determine h, given that u(h) = 0.
-1/3, 0, 1, 15
Let y(u) be the second derivative of -3*u**6/10 - 123*u**5/20 - 95*u**4/4 - 79*u**3/2 - 33*u**2 - 1599*u. Find o such that y(o) = 0.
-11, -1, -2/3
Let i = -91245 - -91247. Suppose 0 - 3/5*z - 1/5*z**3 - 4/5*z**i = 0. Calculate z.
-3, -1, 0
Let t(c) be the first derivative of -c**3/15 - 97*c**2/10 + 98*c/5 - 997. Solve t(a) = 0.
-98, 1
Let q(m) be the first derivative of -m**4/2 - 10*m**3/3 + 93*m**2 + 594*m + 10670. Factor q(j).
-2*(j - 9)*(j + 3)*(j + 11)
Determine h so that 25/2*h + 0 - 10/3*h**2 + 1/6*h**3 = 0.
0, 5, 15
Let -9/4*w**3 + 3/2*w + 3/4*w**5 + 0 - 3/4*w**4 + 3/4*w**2 = 0. Calculate w.
-1, 0, 1, 2
Let b = -497135/3 - -165712. Factor 1/2*i**5 + 0 + 0*i - b*i**2 + 7/6*i**3 - 4/3*i**4.
i**2*(i - 1)**2*(3*i - 2)/6
Let v = 728103/202255 - -3/40451. Suppose 54/5*o + v*o**3 + 0 + 54/5*o**2 + 2/5*o**4 = 0. Calculate o.
-3, 0
Let m(r) be the second derivative of 82*r + 0 + 25/18*r**3 - 5/2*r**2 - 1/12*r**5 - 5/36*r**4. Factor m(p).
-5*(p - 1)**2*(p + 3)/3
Let r(s) be the first derivative of -s**4/4 + 2*s**3 - 3*s**2/2 - 10*s - 5894. Suppose r(u) = 0. Calculate u.
-1, 2, 5
Let z(w) be the third derivative of w**8/336 + 19*w**7/105 + 15*w**6/8 + 58*w**5/15 - 62*w**4/3 + 741*w**2 + 1. Factor z(d).
d*(d - 1)*(d + 4)**2*(d + 31)
Let g(x) = -x**3 - 18*x**2 - 30*x + 36. Let a be g(-16). Solve -11*t**3 + 13*t**4 + 15*t + 25*t**2 - a*t**3 - 33*t**4 - 5 = 0 for t.
-1, 1/4, 1
Suppose -38*a - 4*c = -34*a - 8, 4*c - 10 = -5*a. Factor 5/4*k**5 - 95/4*k + 15/2 - 15/2*k**3 - 5/2*k**4 + 25*k**a.
5*(k - 2)*(k - 1)**3*(k + 3)/4
Solve -2*p**2 + 579 - 7*p - 597 + 8*p**2 - 8*p - 9*p**2 = 0 for p.
-3, -2
Let f = 2035/8 - 2421/8. Let c = f - -101/2. What is y in 16*y**2 + c - 12*y = 0?
3/8
Factor -11881/4 + 11445/8*x + 27*x**2 + 1/8*x**3.
(x - 2)*(x + 109)**2/8
Suppose -74/9*k**3 + 154/9*k**2 + 2/3 - 86/9*k = 0. What is k?
3/37, 1
Let n(d) be the second derivative of -d**5/80 + 13*d**4/4 - 266*d**3 + 2888*d**2 + 5003*d. Factor n(l).
-(l - 76)**2*(l - 4)/4
Factor -5/2*w - 3*w**2 - 1/2*w**3 + 0.
-w*(w + 1)*(w + 5)/2
Let a(k) be the third derivative of k**7/840 + k**6/180 - k**5/30 - k**4/3 - 11*k**3/6 + k**2 + 13*k. Let h(f) be the first derivative of a(f). Factor h(c).
(c - 2)*(c + 2)**2
Let r be 5/((-5)/972)*((-35380)/(-986))/(-61). Determine i so that 108*i**2 + 2/17*i**4 + r*i + 106/17*i**3 - 11664/17 = 0.
-18, 1
Let m(j) be the second derivative of j**7/63 + 8*j**6/45 - 11*j**5/30 - j**4 - j + 301. Suppose m(u) = 0. Calculate u.
-9, -1, 0, 2
Let i(o) be the second derivative of -3*o**5/100 - 27*o**4/20 - 87*o**3/10 + 69*o**2/2 + 975*o. Factor i(c).
-3*(c - 1)*(c + 5)*(c + 23)/5
Let g(z) = -z**3 + z**2 - 1. Let p(y) = 5*y**3 - 7*y**2 + 2*y + 4. Let q(l) = -5*l**2 - 33*l + 10. Let j be q(-7). Let x(d) = j*g(d) - p(d). Factor x(c).
-c*(c - 2)*(c - 1)
Let h = -2/10409 - 3112267/124908. Let q = h - -77/3. Factor 6*g + 12 + q*g**2.
3*(g + 4)**2/4
Let m be (1 + 1)/(4 - 2) + 3. Solve 22 + 26 + 4*q + 0*q**4 - 8*q**2 + 4*q**m - 8*q**3 - 44 + 4*q**5 = 0 for q.
-1, 1
Suppose 9 = 5*p - s - 342, -2*p + 135 = 5*s. Let y be -5*(-8)/p - 16/56. Factor 0*m**2 + 0*m + 0 - y*m**3.
-2*m**3/7
Let n be ((-30)/4)/((-4)/58 + 1328/(-928)). Let v(x) be the third derivative of -5/2*x**3 + 0*x + 0 - 5/24*x**4 + 1/4*x**n - 22*x**2 + 1/24*x**6. Factor v(y).
5*(y - 1)*(y + 1)*(y + 3)
Let s(x) be the first derivative of -x**6/3 - 54*x**5/5 + 33*x**4/2 + 6046*x**3/3 - 10032*x**2 - 25992*x + 11489. Suppose s(g) = 0. What is g?
-19, -1, 6
Factor -4646/3 + 2/3*n**2 - 1548*n.
2*(n - 2323)*(n + 1)/3
Let m(r) be the first derivative of -484*r**5/5 - 341*r**4/3 - 97*r**3/3 - 3*r**2 + 3917. Find f, given that m(f) = 0.
-2/3, -3/22, 0
Let p be (-34824)/(-24) + (-20)/2. Let r = 1443 - p. Factor -1/6*t**r - 169/6 + 13/3*t.
-(t - 13)**2/6
Let g(m) be the third derivative of m**5/210 + 31*m**4/42 + 6432*m**2. Determine q so that g(q) = 0.
-62, 0
Let w(m) = -m**2 + 3*m - 3. Let x(i) = 27*i**2 + 207*i + 53. Suppose -255*u = -254*u - 1. Let s(p) = u*x(p) - w(p). What is l in s(l) = 0?
-7, -2/7
Let s = -93015/22 - -4228. Let g(n) be the first derivative of 2/33*n**3 - 2/11*n**2 + s*n**4 - 4 + 0*n. Let g(r) = 0. Calculate r.
-2, 0, 1
Let t(h) = h**3 - 8*h**2 + 3. Let v be t(8). Let -232*g**3 + 528*g**4 + 3*g + 3*g + 75*g**2 - 12*g - 192*g**5 - 92*g**v = 0. Calculate g.
0, 1/4, 2
Find s such that 75 + 30*s**2 + 5/4*s**3 + 415/4*s = 0.
-20, -3, -1
Let u be ((10/20)/((-2)/576))/(-1). Let r = u - 287/2. Find f, given that -1/10*f**3 + r + 9/10*f + 3/10*f**2 = 0.
-1, 5
Suppose 7*w + 4*s = 3*w - 8, 5*s + 22 = w. Suppose -4 = -w*p + 6. Let 2/7*h**4 - 2/7*h**p + 18/7*h**3 + 8/7*h + 0 + 22/7*h**2 = 0. What is h?
-1, 0, 4
Let h = -1524 + 1480. Let n = 750/17 + h. Solve n*j + 12/17 - 2/17*j**2 = 0 for j.
-2, 3
Solve 1/4*h**5 + 87/4*h**4 - 171/4*h + 85/2*h**3 - 1/2*h**2 - 85/4 = 0.
-85, -1, 1
Let y(d) be the 