 x(s) be the third derivative of 81/5*s**3 + 0 - 1/900*s**6 + 3/50*s**5 + 0*s - 27/20*s**4 + 26*s**2. Factor x(h).
-2*(h - 9)**3/15
Let b(n) be the third derivative of 0 + 1/300*n**5 - 1/20*n**4 + 0*n + 4/15*n**3 - 10*n**2. What is w in b(w) = 0?
2, 4
Let v(c) be the first derivative of -1/2*c**6 - 7 - 3/2*c**2 + 3/5*c**5 - 2*c**3 + 3/2*c**4 + 3*c. Factor v(h).
-3*(h - 1)**3*(h + 1)**2
Let w = 21956/5 + -4384. Factor -12*f - w - 28/5*f**2 - 4/5*f**3.
-4*(f + 1)*(f + 3)**2/5
Let w(j) = -4*j**4 + j**3 + 11*j**2 + 9*j + 12. Let b(k) = 5*k**4 - 2*k**3 - 12*k**2 - 6*k - 13. Let t(i) = -3*b(i) - 4*w(i). Suppose t(h) = 0. What is h?
-3, -1, 3
Let m = -292 + 557. Solve -124*z**3 - 8*z + 93*z + 10 + 70*z**5 + m*z**2 + 509*z**3 + 265*z**4 = 0 for z.
-1, -1/2, -2/7
Factor 45/2*n - 1/2*n**2 - 22.
-(n - 44)*(n - 1)/2
Let q(v) be the first derivative of 4/5*v**5 + 0*v**2 + 11 + 0*v - v**4 - 8*v**3. Determine z so that q(z) = 0.
-2, 0, 3
Suppose 38*n + 28*n + 0*n**2 - 8*n - 13*n - n**2 = 0. What is n?
0, 45
Let c(x) be the third derivative of x**6/10 + x**5/15 - 98*x**2 + 1. Factor c(a).
4*a**2*(3*a + 1)
Let k be 12 + 4/(-1) - (-68)/(-10). Factor 0 + k*d**2 + d + 1/5*d**3.
d*(d + 1)*(d + 5)/5
Let d(c) be the first derivative of -11 + c**3 + 0*c - c**2 - 1/4*c**4. Factor d(o).
-o*(o - 2)*(o - 1)
Suppose 0 = -4*o + x + 23, 2*o - 4*x - 16 = -2*x. Factor 1 - 4 - 3*t**3 - 5 + o + 3*t**2 + 3*t.
-3*(t - 1)**2*(t + 1)
Suppose -7*r + 4*r + 6 = 0. What is k in -80*k - 45*k**5 - 51*k**2 + 165*k**4 - 37*k**2 - 52*k**r + 100*k**3 = 0?
-2/3, 0, 1, 4
Let g(v) = v**2 - 8*v - 21. Let o be g(11). Factor -3*r**3 - 16*r**2 + 8*r**2 + 2*r**3 - 4*r - o*r.
-r*(r + 4)**2
Let m(o) be the first derivative of o**6/9 - 2*o**4/3 - 4*o**3/9 + o**2 + 4*o/3 + 471. Let m(f) = 0. What is f?
-1, 1, 2
Let r(x) be the second derivative of 0 + 8*x**2 - 8*x - x**4 + 0*x**3 - 1/5*x**5. Factor r(s).
-4*(s - 1)*(s + 2)**2
Suppose -3*b + 27 = -5*c, -8*b + 29 = -c + 2*c. Factor -2/5*w**3 - 2/5*w**5 + 0*w**2 + 4/5*w**b + 0*w + 0.
-2*w**3*(w - 1)**2/5
Let z be (-1 + 3/18)*180/(-225). Solve -2/3*j**2 + 1/3*j**5 - 5/3*j - z + 4/3*j**4 + 4/3*j**3 = 0 for j.
-2, -1, 1
Let -72/5 - 2/5*z**3 - 16*z - 26/5*z**2 = 0. Calculate z.
-9, -2
Let a be 6 - ((-6)/(-21) + 52/14). Suppose -6 - 15 - s**5 + 6*s**3 + 3*s**4 - 10*s**a + 12 - 21*s = 0. What is s?
-1, 3
Let k(y) be the first derivative of y**6/360 + y**5/180 - y**4/36 + y**2/2 - 9. Let r(s) be the second derivative of k(s). Solve r(l) = 0 for l.
-2, 0, 1
Let u(k) be the first derivative of 0*k**3 + 0*k + 1/20*k**4 + 5 - 1/10*k**2. Factor u(v).
v*(v - 1)*(v + 1)/5
Solve -1/2*d**5 + 2*d**2 + 0*d + 0 + 5/2*d**4 - 4*d**3 = 0 for d.
0, 1, 2
Let v(a) be the first derivative of 0*a - 2/3*a**3 - 1/2*a**4 - 1/3*a**2 + 12 - 2/15*a**5. Factor v(m).
-2*m*(m + 1)**3/3
Suppose -3706*s + 99 + 58*s**2 + 3584*s - 37 + 2*s**3 = 0. What is s?
-31, 1
Suppose 0 = -6*q - 8 + 20. Determine o so that 3 + 4*o**2 + o**q + 6*o - 2*o**2 = 0.
-1
Let o(b) = 2*b**3 - 8*b**2 + 2*b + 12. Let w be -4 + (-1 - (-3 - -2)). Let j(h) = -3*h**3 + 8*h**2 - 2*h - 13. Let y(f) = w*j(f) - 5*o(f). Factor y(u).
2*(u - 1)*(u + 1)*(u + 4)
Let z = 106 + -81. Let k = z + -21. Factor 1/4*p**3 + 1/4*p**5 + 3/4*p**2 - 3/4*p**k - 1/2*p + 0.
p*(p - 2)*(p - 1)**2*(p + 1)/4
Let h(u) = -115*u**2 + 865*u + 35. Let f(v) = 13*v**2 - 96*v - 4. Let s(p) = -35*f(p) - 4*h(p). Solve s(r) = 0 for r.
0, 20
Let j(k) be the second derivative of 3*k**5/20 - 21*k**4 + 1176*k**3 - 32928*k**2 - 3*k - 18. Find f such that j(f) = 0.
28
Let s = 12 + -9. Factor -4*t**4 + 3*t**s + t**2 + t**5 - 10*t**4 + 17*t**4.
t**2*(t + 1)**3
Factor -114 + 56*x + 9 + 14*x + 2*x**2 + 33.
2*(x - 1)*(x + 36)
Let c(y) be the third derivative of y**7/504 - y**5/24 + y**4/2 + 17*y**2. Let f(m) be the second derivative of c(m). Suppose f(q) = 0. Calculate q.
-1, 1
Suppose 11*b + 4*b - 45 = 0. Determine o, given that -9 + 3*o**2 - 6*o + 6*o**b - 3*o**2 + 5*o**2 + 7*o**2 - 3*o**4 = 0.
-1, 1, 3
Let n = -133 + 127. Let d be (8/(-12))/(10/n). Suppose 0 - d*j + 2/5*j**2 = 0. What is j?
0, 1
Let b(r) = -3*r**3 + 42*r**2 + 114*r - 6. Let t(a) = -2*a**3 + 41*a**2 + 113*a - 5. Let c(l) = -5*b(l) + 6*t(l). Factor c(j).
3*j*(j + 6)**2
Let f(n) be the first derivative of 0*n + 1/20*n**4 + 0*n**2 + 5 - 1/25*n**5 + 0*n**3. Factor f(h).
-h**3*(h - 1)/5
Factor -1/2*f**2 + 5/2 + 2*f.
-(f - 5)*(f + 1)/2
Let x = -3102 - -15516/5. Suppose 3/5 - x*g**3 - 3/5*g**4 + 0*g**2 + 6/5*g = 0. What is g?
-1, 1
Let d(t) = 2*t**4 - 40*t**3 - 6*t**2 + 92*t + 56. Let k(h) = -h**3 + h. Let o(q) = d(q) - 12*k(q). What is l in o(l) = 0?
-1, 2, 14
Let x(k) be the third derivative of -k**4/8 - k**3 - k**2. Let f be x(-4). Let -3*b**4 + 5*b**3 + 3*b**2 + 3*b**5 - 2*b**3 - f*b**5 = 0. Calculate b.
-1, 0, 1
Suppose -12*o + 40 = -10*o. Let x be (o/12)/5*12/10. Determine u so that -8/5 + x*u**2 + 0*u = 0.
-2, 2
Let x(j) be the third derivative of j**5/100 + j**4/40 - 196*j**2. Factor x(u).
3*u*(u + 1)/5
Let h = 31 + -29. Let t be 9/(-6)*1*(h - 3). Factor 3*j**4 + 3/2*j**5 + t*j**3 + 0*j**2 + 0 + 0*j.
3*j**3*(j + 1)**2/2
Let x(p) = 45*p**2 - 735*p - 2340. Let c(b) = -5*b**2 + 81*b + 260. Let k(s) = 55*c(s) + 6*x(s). Factor k(n).
-5*(n - 13)*(n + 4)
Let t = -61 - -64. Factor 3*q**3 - 14 + 11 + 2*q**3 - 2*q**3 - 3*q + t*q**2.
3*(q - 1)*(q + 1)**2
Factor 4*j**2 - 12*j + 29*j**3 - 43*j**3 - 11*j**2 - 18*j**2 - j**4.
-j*(j + 1)**2*(j + 12)
Let x be -1 + -1 + 0 - (-9 + 5). Let z(m) = m**3 - m**2 - 2. Let v be z(x). Factor -1/4 - 3/4*l**v - l.
-(l + 1)*(3*l + 1)/4
Let p = 41 + -39. Find w, given that -3*w**p + 2*w**2 + w**3 + w**4 + 19*w - 20*w = 0.
-1, 0, 1
Let r be (-9)/27 + (-200)/3. Let h = r + 69. Let -9/4*t**3 + 0 + 3/2*t**h + 3/4*t = 0. What is t?
-1/3, 0, 1
Let t(o) be the second derivative of -o**7/63 - 22*o**6/45 - 7*o**5/3 + 274*o**4/9 - 793*o**3/9 + 338*o**2/3 + 5*o + 2. Let t(q) = 0. What is q?
-13, 1, 2
Let b(l) be the first derivative of 11*l**5/5 - 53*l**4/4 + 23*l**3/3 + 105*l**2/2 + 18*l + 71. Let b(x) = 0. What is x?
-1, -2/11, 3
Factor -45/7*d**3 + 3/7*d**4 + 141/7*d**2 + 0 + 27*d.
3*d*(d - 9)*(d - 7)*(d + 1)/7
What is f in -8*f**3 + 0 - 9*f**4 - f**5 + 12 - 3*f**4 + 13*f**3 + 27*f**2 + 32*f + 9*f**4 = 0?
-2, -1, 3
Let n(f) be the second derivative of 9/2*f**2 + 8*f**3 + 17/4*f**4 + 30*f + 3/5*f**5 + 0. Factor n(v).
3*(v + 1)*(v + 3)*(4*v + 1)
Factor -4*z + 3426*z**2 - 3413*z**2 - 2*z**3 + z**3 - 8*z.
-z*(z - 12)*(z - 1)
Suppose 3*u = -3*b + 9, 2*b + 2 + 1 = u. Suppose -5*w - 3*x = -u, 0*x = x + 4. Solve 3*n**3 + n - 3*n**2 - 3*n + 0*n**w - 4*n**3 = 0.
-2, -1, 0
Let p(l) = -9*l**2 - 3*l + 7. Let m(d) = -11*d**2 - 4*d + 10. Let q(y) = 5*m(y) - 6*p(y). Factor q(s).
-(s - 2)*(s + 4)
Suppose 3*b - 17 = 13. Let x(m) = m - 8. Let f be x(b). Factor 4*z**2 + 3*z + f*z**2 + 43*z**3 - 40*z**3.
3*z*(z + 1)**2
Let l(o) be the first derivative of o**4/26 - 4*o**3/13 + 12*o**2/13 - 16*o/13 + 208. Let l(j) = 0. What is j?
2
Let n(z) be the second derivative of z**10/10080 - z**9/2520 - 3*z**8/2240 + z**4 - 9*z. Let l(w) be the third derivative of n(w). Factor l(d).
3*d**3*(d - 3)*(d + 1)
Suppose q - 4 = -q, -10 = -2*z + 4*q. Let l = -3 - -4. Factor -l + z + 3*h**2 + 7*h**2 - 24*h.
2*(h - 2)*(5*h - 2)
Suppose 3/2*a**2 + 18*a + 33/2 = 0. What is a?
-11, -1
Let k be 1 + (-3)/2 - 10/(-4). Factor 4 - 7*n**k - 9*n**2 + 8*n**2 + 4*n**4.
4*(n - 1)**2*(n + 1)**2
Let y(c) be the third derivative of -19*c**2 + 0 + 0*c**4 + 1/5*c**5 + 2/105*c**7 + 0*c**3 - 1/6*c**6 + 0*c + 1/84*c**8. Factor y(a).
4*a**2*(a - 1)**2*(a + 3)
Solve 36/5 + 68/5*r**4 - 8/5*r**3 + 4*r**5 - 104/5*r**2 - 12/5*r = 0.
-3, -1, 3/5, 1
Let f be (-3 + (-11 - -1))*-1. Solve -49*k**2 + f*k**2 + 4 - 2*k + 14*k**2 + 20*k**2 = 0 for k.
-2, 1
Let 0 + 8/7*o + 32/7*o**2 + 46/7*o**3 + 4*o**4 + 6/7*o**5 = 0. Calculate o.
-2, -1, -2/3, 0
Let h be 1/(-3)*-39 + -13. Let 0*a + 0*a**2 + 3/5*a**4 + 3/5*a**5 + h*a**3 + 0 = 0. Calculate a.
-1, 0
Let x = -545 - -547. Let m(b) be the second derivative of 1/3*b**4 + 1/5*b**5 - 10/3*b**3 + 6*b**x + 0 - 7*b. Determine t, given that m(t) = 0.
-3, 1
Let p = -5069 + 55767/11. Find u, given that 0 + 0*u**2 - p*u + 2/11*u**3 = 0.
-2, 0, 2
Determine r, given that -6*r**2 + 0 + 0*r + 2/9*r**3 = 0.
0, 27
Let s(x) be the firs