(m + 1)
Let v(c) be the third derivative of 0 - 1/70*c**7 + 4*c**2 - 1/2*c**3 + 1/2*c**4 - 3/10*c**5 + 0*c + 1/10*c**6. Solve v(x) = 0 for x.
1
Let n(m) = 18*m**2 + 2 + 6 - 552*m + 577*m + 2*m**3 - 4*m**4. Let g(f) = -3*f**4 + 3*f**3 + 18*f**2 + 24*f + 8. Let t(c) = -5*g(c) + 4*n(c). Factor t(y).
-(y + 1)*(y + 2)**3
Let k(v) be the third derivative of -v**7/175 + 9*v**6/100 - 3*v**5/10 - 5*v**4/4 + 12*v**2 - 6*v. Find a such that k(a) = 0.
-1, 0, 5
Let o(b) = -51*b**2 - 123*b - 57. Let f(g) = -g**3 + 52*g**2 + 121*g + 58. Let t(x) = -3*f(x) - 2*o(x). Suppose t(r) = 0. What is r?
-1, 20
Let z(l) = 3*l**4 - 51*l**3 - 306*l**2 - 255*l - 3. Let p(y) = -y**3 - y**2 - y - 1. Let b(f) = 3*p(f) - z(f). Factor b(x).
-3*x*(x - 21)*(x + 1)*(x + 4)
Let k(j) be the third derivative of -j**5/180 - 3*j**4/4 - 81*j**3/2 - 3*j**2 - 26*j. Find v, given that k(v) = 0.
-27
Let z = 564 - 564. Determine p, given that 1/3*p**3 + 8/3*p**2 + z + 16/3*p = 0.
-4, 0
Let c = -35171/13 - -2704. Let h = 1/26 - c. Factor -3/2*u**2 + h*u + 3.
-3*(u - 2)*(u + 1)/2
Let t(l) be the first derivative of -l**7/126 + l**5/30 - l**3/18 + 11*l - 12. Let s(q) be the first derivative of t(q). Factor s(h).
-h*(h - 1)**2*(h + 1)**2/3
Let y be (-12)/(-48) - 19/(-4). Solve -3*m**3 - 2873 + 2874 + m**5 - 3*m**4 + y*m**3 + 2*m**2 - 3*m = 0.
-1, 1
Let q = -21 - -24. Let m(l) be the first derivative of -2 + 0*l**2 + 0*l**4 - 1/15*l**5 + 1/9*l**q + 0*l. Find d such that m(d) = 0.
-1, 0, 1
Solve -10/9*x**2 + 37/9*x - 1/9*x**3 - 26/9 = 0.
-13, 1, 2
Suppose -25/3*f + 13/6*f**3 + 1/6*f**5 - 15/2*f**2 + 3/2*f**4 + 0 = 0. What is f?
-5, -1, 0, 2
Let t(y) = 4*y**3 + 6*y**2 + 3. Let i(l) = l**3 + l**2 - 1. Let x(b) = 3*i(b) - t(b). Let s(k) be the first derivative of x(k). What is r in s(r) = 0?
-2, 0
Suppose 28 + 4*v**4 + 28 + 2*v**4 + 10*v**3 - 98*v**2 + 4 - 11*v + 33*v = 0. Calculate v.
-5, -2/3, 1, 3
Suppose -191*l + 197*l = 4 + 8. Factor 0 + 0*c + 5/9*c**3 - 1/3*c**l - 1/9*c**5 - 1/9*c**4.
-c**2*(c - 1)**2*(c + 3)/9
Suppose 3*o = 3*v - 24, -7*o + 12*o = 3*v - 36. Factor 4/3*a**4 + 64*a**v - 16*a**3 - 256/3*a + 0.
4*a*(a - 4)**3/3
Let g(i) be the second derivative of 2*i**4/51 - 19*i**3/17 - 45*i**2/17 - 23*i. Factor g(d).
2*(d - 15)*(4*d + 3)/17
Let g be 5 - -4 - -1*3. Let i = g + -7. Factor 3*a**2 + a**3 - 4 - 5*a**3 + i*a**3.
(a - 1)*(a + 2)**2
Let q(k) be the first derivative of -k**6/18 + k**4/4 - 2*k**3/9 - 40. Factor q(f).
-f**2*(f - 1)**2*(f + 2)/3
Suppose -3*a + u = 3*u - 19, 25 = 5*u. Suppose 2*v = a*v - 3. Factor 2*f**3 + 2 - f**4 - 2*f + 2 - v.
-(f - 1)**3*(f + 1)
Suppose -68 = -3*u + 4*t - 11, -2*t = u - 9. Suppose 2*v = -v + u. Factor -2*h**2 + v*h**2 + 3*h**2 + 3*h - 3*h**2.
3*h*(h + 1)
Let y be -1 + (-15)/(-24) - (-102)/272. Find j, given that -3/4*j**2 + y + 1/2*j = 0.
0, 2/3
Let g(h) be the first derivative of -30 - 2/3*h**3 - h**2 + 0*h. Factor g(d).
-2*d*(d + 1)
Let i(s) be the third derivative of s**8/3024 + s**7/63 + 5*s**6/18 + 50*s**5/27 - s**2. Factor i(p).
p**2*(p + 10)**3/9
Suppose -3*m - 8 = -4*x + 156, x - 64 = -5*m. Let k = -41 + x. Factor -4/11*a + 6/11*a**2 + 0 + 0*a**k - 2/11*a**4.
-2*a*(a - 1)**2*(a + 2)/11
Find d such that -1729*d**3 - 93*d**2 - 1251*d**4 - 5*d + 346*d**3 - 24*d**5 - 111*d**5 + 110*d + 48 + 117*d = 0.
-8, -1, -1/3, 2/5
Let j(v) be the second derivative of -5*v**4/36 - 30*v**3 + 545*v**2/6 + 91*v - 2. Determine d, given that j(d) = 0.
-109, 1
Let o(h) be the third derivative of h**6/440 + 13*h**5/132 + 13*h**4/22 + 38*h**3/33 + 5*h**2 - 32. Determine f, given that o(f) = 0.
-19, -2, -2/3
Suppose 54*z - 49*z = -3*u - 19, 3*z + 9 = -3*u. Find w such that 2/7*w**3 + 2/7 - 2/7*w - 2/7*w**u = 0.
-1, 1
Let h(f) = f**2 - 5*f + 4. Let t be h(5). Let v(i) be the first derivative of 0*i - i**3 - 4 - 3/4*i**t + 3*i**2. Factor v(j).
-3*j*(j - 1)*(j + 2)
Suppose i + 16 = -34. Let x = i + 254/5. Factor x*l**2 - 4/5*l**4 + 0*l**3 - 2/5*l + 0 + 2/5*l**5.
2*l*(l - 1)**3*(l + 1)/5
Let o = -51419/6 + 8622. Let x = o + -99/2. Factor -4/3*f - x - f**3 + 10/3*f**2.
-(f - 2)**2*(3*f + 2)/3
Let z(x) = 2*x**3 + x**2 + 2. Let j(r) = -13*r**3 - 12*r**2 + 8*r - 18. Let b(p) = -5*j(p) - 35*z(p). Let b(l) = 0. What is l?
1, 2
Let m be (-1 + 0)*-5 - 1325/318. Let x(z) be the first derivative of -1/15*z**5 + 3 - 2/9*z**3 - m*z**2 + 1/2*z**4 + z - 1/18*z**6. Factor x(n).
-(n - 1)**3*(n + 1)*(n + 3)/3
Suppose 5*r = -5, 4*g + 5*r = 46 - 51. Factor 4/7*d**3 + 2/7 - 2/7*d**4 - 4/7*d + g*d**2.
-2*(d - 1)**3*(d + 1)/7
Let l be 2 - 5 - 29/(580/(-100)). Let 1/6*n**3 + 0 + 6*n + 2*n**l = 0. What is n?
-6, 0
Let b(q) be the first derivative of 2*q**5/55 - 4*q**4/11 + 4*q**3/3 - 24*q**2/11 + 18*q/11 - 244. Factor b(f).
2*(f - 3)**2*(f - 1)**2/11
Let q(a) be the second derivative of 2/15*a**6 + 1/5*a**5 - 8/3*a**3 + 16*a**2 - 9*a - 2*a**4 - 1. Find t, given that q(t) = 0.
-2, 1, 2
Let d(p) be the third derivative of 25*p**8/336 - 2*p**7/21 - 23*p**6/12 - 16*p**5/3 - 155*p**4/24 - 10*p**3/3 + p**2 + 58*p. Factor d(r).
5*(r - 4)*(r + 1)**3*(5*r + 1)
Let u be 24 - (10 - (8 - (-18)/27)). Factor -2*z**3 + 48 - 56*z - u*z**2.
-2*(z + 6)**2*(3*z - 2)/3
Let m(u) = 5*u**3 - 4*u - 21. Let j(p) be the second derivative of -p**5/20 + p**3/6 + 2*p**2 - 35*p. Let a(l) = 33*j(l) + 6*m(l). Factor a(h).
-3*(h - 2)*(h + 1)**2
Let t(x) be the first derivative of -x**6/12 + 3*x**5/5 - x**4/8 - 4*x**3 - 4*x**2 + 532. Find r, given that t(r) = 0.
-1, 0, 4
Let y(a) = -6*a + 10. Let g be (-25)/15*(-6)/10. Let u be y(g). Suppose -2/15*z**3 + 0*z**2 + 0*z + 2/15*z**u + 0 = 0. What is z?
0, 1
Let z(x) = 2*x**2 - 12*x + 2. Let i be z(6). Let c(t) be the second derivative of 2/9*t**i + 0 + 1/54*t**4 - 1/9*t**3 + 6*t. What is p in c(p) = 0?
1, 2
Suppose 3*n - 8 = n. Let f be (-6)/9*(-18)/n. Factor -q**2 + 6 - f*q - 2*q**2 + 6*q.
-3*(q - 2)*(q + 1)
Let k(v) = -11*v**2 - 6*v + 36. Let a be 21/42 + (-15)/(-2). Let m(p) = 17*p**2 + 9*p - 54. Let i(g) = a*k(g) + 5*m(g). Factor i(n).
-3*(n - 2)*(n + 3)
Let f(a) be the third derivative of a**5/300 - 5*a**4/12 + 125*a**3/6 + a**2 + 209*a. Factor f(n).
(n - 25)**2/5
Let w(g) be the first derivative of 0*g**3 + 6*g - 7 + 3/4*g**4 - 9/2*g**2. Solve w(n) = 0 for n.
-2, 1
Solve -36*w - 29*w**2 - 125 + 5*w**3 - 38*w**2 + 25 + 22*w**2 + 156*w = 0.
2, 5
Let g(o) = 13*o**4 + 28*o**3 - 92*o**2 + 43*o + 8. Let n(y) = -13*y**4 - 28*y**3 + 93*y**2 - 44*y - 8. Let m(c) = 6*g(c) + 5*n(c). Suppose m(t) = 0. What is t?
-4, -2/13, 1
Let x = -49 - -64. Factor -10*r**3 - 50 - x*r**2 - 135*r - 66*r**2 + 6*r**2.
-5*(r + 2)*(r + 5)*(2*r + 1)
Let q(x) be the third derivative of -x**7/42 - 19*x**6/24 + 41*x**5/12 - 35*x**4/8 + 279*x**2. Factor q(r).
-5*r*(r - 1)**2*(r + 21)
Factor -y**2 + 68*y + 166*y + 260 - 4*y**2 - 114*y.
-5*(y - 26)*(y + 2)
What is s in 330*s - 1254 - 2*s**2 - 2*s**2 - s**2 - 4191 = 0?
33
Let h be 1 + (-3)/(6/(-4)). Suppose 0 = h*g - 3 - 6. Suppose 2*y + 2*y + y - y + g + y**2 = 0. What is y?
-3, -1
Let n(m) be the first derivative of 2*m**3/9 - 4*m**2/3 - 14*m + 149. Factor n(s).
2*(s - 7)*(s + 3)/3
Let l(r) be the first derivative of -5*r**6/144 - r**5/12 - r**4/12 + 4*r**3/3 + 23. Let g(u) be the third derivative of l(u). Find k, given that g(k) = 0.
-2/5
Let w(y) be the second derivative of 5/4*y**3 + 9*y - 75/8*y**2 + 0 - 1/16*y**4. Factor w(x).
-3*(x - 5)**2/4
Suppose 23*o = 84*o - 161 - 83. Factor 0 + 4/9*q**2 - 4/9*q**3 + 0*q + 1/9*q**o.
q**2*(q - 2)**2/9
Let r(d) be the third derivative of -3*d**2 + 1/42*d**7 + 0*d + 3/2*d**5 + 20/3*d**3 + 0 - 7/24*d**6 - 25/6*d**4. Factor r(c).
5*(c - 2)**3*(c - 1)
Let y(z) = -z**3 - z**2 - z - 1. Suppose 0 = 2*g + 9 + 1. Let p(b) = 5*b**3 + 16*b**2 + 27*b + 12. Let l(f) = g*p(f) - 15*y(f). Let l(i) = 0. What is i?
-3, -1/2
Suppose -2*l + 30 = 4*h, -56*h + 58*h - 24 = -4*l. Let -8/3*o**l - 2/9*o**5 - 2/3*o + 0 + 4/3*o**4 + 20/9*o**2 = 0. Calculate o.
0, 1, 3
Suppose 0 = -m - 4*x + 17, -38 = -4*m - 0*x - x. Let -7*g - 2*g + 4*g**2 - 10*g**2 + m*g**2 = 0. What is g?
0, 3
Suppose 5*n + 72 = 127. Let -20*r**3 + 2269*r**4 - 30*r**2 + 20*r + 14 - 2264*r**4 + n = 0. What is r?
-1, 1, 5
Suppose 2*q + 0 = m - 2, 3*q = 3*m + 3. Let g = -19/5 - m. Factor 1/5 - g*o**2 + 0*o.
-(o - 1)*(o + 1)/5
Let t(w) = w - 22. Let r be t(8). Let m be 8/r - (-320)