d**4. Factor m(x).
2*x*(x - 1)**2*(x + 1)/9
Let y(k) be the third derivative of 5*k**8/336 - 7*k**6/24 - k**5/6 + 5*k**4/2 + 20*k**3/3 + 4*k**2 + 9. What is r in y(r) = 0?
-2, -1, 2
Let g(j) be the first derivative of 2*j**4 + 52*j**3/3 + 129*j**2/4 + 45*j/2 + 32. Suppose g(n) = 0. What is n?
-5, -3/4
Let y(h) be the third derivative of -h**7/560 + 67*h**6/320 + 21*h**5/16 + h**4/16 - 35*h**3/2 - 3*h**2 + 38*h. Solve y(m) = 0.
-2, 1, 70
Let d(g) be the third derivative of g**8/4032 - g**6/144 - g**5/10 - 13*g**2. Let b(p) be the third derivative of d(p). Factor b(v).
5*(v - 1)*(v + 1)
Let o(a) = -6*a**3 - 26*a**2 - 60*a - 44. Let w(c) = -6*c**3 - 28*c**2 - 61*c - 43. Let y(u) = -3*o(u) + 4*w(u). What is f in y(f) = 0?
-2, -5/3
Let o(j) be the second derivative of j**5/20 - 7*j**4/3 + 53*j**3/6 - 13*j**2 + 2*j + 65. Find w such that o(w) = 0.
1, 26
Let c(l) = l**3 - 72*l**2 - 68*l - 363. Let r be c(73). Solve 13/8*n + 1/4 + 9/8*n**3 + 5/2*n**r = 0.
-1, -2/9
Let y(q) be the third derivative of -q**5/45 - 8*q**4/9 - 10*q**3/3 - 57*q**2. Let y(a) = 0. What is a?
-15, -1
Factor 5*c + 5*c**3 - 11 + 40*c - 8 - 1 - 30*c**2.
5*(c - 4)*(c - 1)**2
Let 24*j - 3655*j**5 - 19*j**4 - 12*j**3 - 25*j**4 + 44*j**2 + 3643*j**5 = 0. What is j?
-3, -1, -2/3, 0, 1
Let o = 15 - 9. Find u such that 3*u**4 + 0 - 3 + 6*u + u - o*u**3 - u = 0.
-1, 1
Suppose -5*v = -o + 2191, 3*o + 20 = -2*o. Let g = 1771/4 + v. Suppose 15/2*f**2 + 15/2*f**3 + 3/4 + g*f + 3/4*f**5 + 15/4*f**4 = 0. Calculate f.
-1
Let c(r) be the first derivative of r**6/48 + r**5/20 - 3*r**4/16 - 5*r**3/6 - 19*r**2/16 - 3*r/4 + 64. Factor c(u).
(u - 3)*(u + 1)**3*(u + 2)/8
Let z(o) be the first derivative of 28/3*o**3 - 4*o + 5 - o**2 - 5/2*o**4 - 12/5*o**5. Let z(s) = 0. What is s?
-2, -1/3, 1/2, 1
Let x(g) be the second derivative of g**4/42 - g**2/7 - 73*g. Factor x(s).
2*(s - 1)*(s + 1)/7
Let -8/9*t**4 + 8/9*t**2 + 2/9*t**5 + 0 + 10/9*t - 4/3*t**3 = 0. Calculate t.
-1, 0, 1, 5
Let x = -207 + 201. Let l be ((2/x)/(3/(-24)))/1. Factor 8/3*b - 4/3*b**3 + l + 2/3*b**4 - 2*b**2.
2*(b - 2)**2*(b + 1)**2/3
Let g(v) be the first derivative of -v**5/160 - v**4/32 - 33*v**2/2 - 7. Let o(k) be the second derivative of g(k). Find j, given that o(j) = 0.
-2, 0
Let x(o) be the third derivative of o**7/210 - o**6/120 - 7*o**5/60 + o**4/24 + o**3 + 293*o**2. Find r, given that x(r) = 0.
-2, -1, 1, 3
Let s(t) be the first derivative of 1/60*t**5 + 0*t + 3 + 1/6*t**3 - 1/12*t**4 - 3/2*t**2. Let a(x) be the second derivative of s(x). Factor a(j).
(j - 1)**2
Suppose 2*c - c = 0. Let l(i) be the second derivative of 0 - 1/120*i**6 + 0*i**4 + 0*i**2 - 1/80*i**5 + c*i**3 + 2*i. Factor l(q).
-q**3*(q + 1)/4
Let i(q) be the first derivative of -q**5/5 - 19*q**4/4 - 104*q**3/3 - 88*q**2 + 379. Solve i(o) = 0 for o.
-11, -4, 0
Determine r, given that -5373*r + 5373*r + 6*r**2 + 7*r**3 + r**4 = 0.
-6, -1, 0
Let h(t) be the second derivative of -t**7/70 + t**6/10 - t**5/4 + t**4/4 + 2*t**2 - 5*t. Let y(j) be the first derivative of h(j). Solve y(a) = 0.
0, 1, 2
Let v(b) be the third derivative of -b**7/840 + 11*b**6/240 - 41*b**5/240 + 5*b**4/24 + 704*b**2. Factor v(w).
-w*(w - 20)*(w - 1)**2/4
Suppose 3*m = -5*g + 57, -57 = -2*m - m - 2*g. Suppose 33*n - m*n = 13*n. Determine v so that -3/2*v**4 - 2*v**3 + n*v - 1/2*v**2 + 0 = 0.
-1, -1/3, 0
Let u be 30/12 - 2/4. Let b be 8 - 5 - 0/u. Suppose -6*a**5 - b*a**5 + 6*a**5 - 2*a + 4*a**3 + a**5 = 0. Calculate a.
-1, 0, 1
Factor 0 + 87/2*z**2 - 21/2*z**3 - 33*z.
-3*z*(z - 1)*(7*z - 22)/2
Let a(x) = 13*x**2 + 12*x - 11. Let b(s) = -2*s**2 - s + 1. Let o(f) = -2*a(f) - 14*b(f). Factor o(w).
2*(w - 4)*(w - 1)
Suppose -59*q = -80*q. Factor 3/4*d**5 + q + 3*d**2 + 0*d - 9/4*d**4 + 0*d**3.
3*d**2*(d - 2)**2*(d + 1)/4
Let a(u) be the second derivative of u**7/105 - 2*u**6/25 - 3*u**5/10 - 4*u**4/15 + 2*u - 98. Factor a(f).
2*f**2*(f - 8)*(f + 1)**2/5
Let n = -351/7 - -10902/217. Let m = 22/93 + n. Factor 0 + 2/3*s**3 - m*s**2 - 1/3*s.
s*(s - 1)*(2*s + 1)/3
Factor 4/3*s**2 - 40/3 + 4*s.
4*(s - 2)*(s + 5)/3
Let x(q) = q**2 + 10*q + 3. Let z be x(-8). Let k(r) = r**3 + 14*r**2 + 14*r + 16. Let j be k(z). Determine y so that 0 + 3 - 2*y**5 - j = 0.
0
Let w(p) = -8*p - p**2 + 9 - 9. Let q be w(-6). Find a, given that -q - a**2 + a**2 - 3*a**2 + 12*a = 0.
2
Factor 5/2*o**2 + o + 1/2*o**3 - 4.
(o - 1)*(o + 2)*(o + 4)/2
Let q be (-5)/((-50)/(-5))*(-1 + -5). Let h(s) be the third derivative of 0*s**q + 0*s**5 + 1/120*s**6 + s**2 + 0*s - 1/24*s**4 + 0. Solve h(t) = 0 for t.
-1, 0, 1
Let i be (-40)/18 + (-8)/(-36). Let g be 3 + 18/i*-1. Factor 6*u - 24*u**3 - 11*u**4 - 2*u - g*u**5 - 21*u**4.
-4*u*(u + 1)**3*(3*u - 1)
Let p(r) be the second derivative of r**4/66 - 97*r**3/33 + 2*r + 52. Factor p(l).
2*l*(l - 97)/11
Let j(o) = -28*o**5 - 52*o**4 - 16*o**3 + 4*o**2 + 4*o - 4. Let a(f) = 26*f**5 + 51*f**4 + 16*f**3 - 3*f**2 - 3*f + 3. Let h(w) = -4*a(w) - 3*j(w). Factor h(l).
-4*l**3*(l + 2)*(5*l + 2)
Suppose -4*c + 17 = -15. Factor -3*p + c*p**2 + 4*p - 4 - p - 4*p**4.
-4*(p - 1)**2*(p + 1)**2
Let b(l) = 8*l**2 - 21*l + 13. Let j(o) = -o - 15. Let n be j(-10). Let g(f) = -52*f**2 + 136*f - 84. Let a(r) = n*g(r) - 32*b(r). Let a(h) = 0. Calculate h.
1
Let v(s) = 9*s**3 + 1011*s**2 + 10080*s + 29379. Let u(q) = q**3 + 101*q**2 + 1008*q + 2938. Let b(o) = -21*u(o) + 2*v(o). Solve b(i) = 0 for i.
-14, -5
What is l in -59*l - 22*l**2 - 52 - 17*l + 9*l**2 - 11*l**2 = 0?
-13/6, -1
Solve 1/6*j**2 + 31/6*j + 25 = 0.
-25, -6
Let n = -31724 - -126897/4. Solve -n*g**2 + 1/8*g**5 + 0*g + 0 - 1/8*g**3 + 1/4*g**4 = 0.
-2, -1, 0, 1
Let j(y) = -y**3 + y**2 - y + 1. Let g(h) = 12*h**3 - 8*h**2 + 13*h - 11. Let r = 35 - 33. Let f(c) = r*g(c) + 22*j(c). Factor f(a).
2*a*(a + 1)*(a + 2)
Let z(i) be the first derivative of i**3/3 + 6*i**2 + 60. Solve z(o) = 0 for o.
-12, 0
Let f = -96 + 52. Let g = f + 133/3. Determine p so that -g*p + 0 + 1/3*p**2 + 1/3*p**3 - 1/3*p**4 = 0.
-1, 0, 1
Let r(t) be the second derivative of -t**4/12 - 7*t**3/2 - 10*t**2 + 32*t + 4. What is o in r(o) = 0?
-20, -1
Let u(h) be the third derivative of h**6/180 + 43*h**5/90 + 391*h**4/36 - 529*h**3/3 + 91*h**2. Factor u(g).
2*(g - 3)*(g + 23)**2/3
Let p(a) be the second derivative of 0*a**2 + 0*a**4 - 1/14*a**3 - 13*a + 3/140*a**5 + 0. Solve p(f) = 0.
-1, 0, 1
Let q(h) be the third derivative of h**5/8 - 57*h**4/16 + 11*h**3/2 + 50*h**2. Factor q(d).
3*(d - 11)*(5*d - 2)/2
Let k(b) be the first derivative of 8*b + 7 + 3*b**2 + 1/2*b**3 + 1/32*b**4. Determine t so that k(t) = 0.
-4
Let t(d) be the second derivative of 0*d**5 + 1/4*d**4 - 5*d - 1/10*d**6 + 0*d**2 - 1/4*d**3 + 0 + 1/28*d**7. Factor t(y).
3*y*(y - 1)**3*(y + 1)/2
Let b be (-1)/4 - (-18)/8. Let r be (-183)/305 + 33/(-15) + 3. Let r*o - 2/5 + 1/5*o**b = 0. What is o?
-2, 1
Suppose 0 = j + j - 10. Find w, given that -5*w**5 + j*w**4 - 455*w + 455*w = 0.
0, 1
Let m = 1077 + -1072. Let g(n) be the third derivative of 3/10*n**3 + 10*n**2 + 0 + 0*n - 1/10*n**4 + 1/100*n**m. Factor g(q).
3*(q - 3)*(q - 1)/5
Let u be -4 - -818*2/372. Let o = u + -2/31. Determine k so that -1/3*k**4 - 2*k**2 + 4/3*k - o + 4/3*k**3 = 0.
1
Let s(m) be the first derivative of 1/9*m + 0*m**2 + 2 - 1/27*m**3. Factor s(w).
-(w - 1)*(w + 1)/9
Let 3*q**3 - 2*q**3 + 429*q**2 + 3249536 + 61347*q - 325329 = 0. What is q?
-143
Let q(z) = z**2 - 3*z + 3. Let d be q(6). Suppose -48*u**3 + d*u**4 - 5*u - 61*u**4 - 27*u**3 + 40*u**2 + 80*u**5 = 0. Calculate u.
-1, 0, 1/4, 1
Let y = 39 - 42. Let c(l) = l**4 + 54*l**3 + 64*l**2 - 54*l - 73. Let q(g) = 18*g**3 + 21*g**2 - 18*g - 24. Let p(j) = y*c(j) + 8*q(j). Factor p(r).
-3*(r - 1)*(r + 1)*(r + 3)**2
Let k(j) be the second derivative of -j**4/66 + 6*j**3/11 + 19*j**2/11 - 38*j. Factor k(y).
-2*(y - 19)*(y + 1)/11
Suppose 29 = 3*a - 2*z, -11 = -2*a + 4*z + 11. Let i be 2/a - (510/(-108))/17. Factor -i*h**2 + 3/2*h**3 + 1/2*h**5 + 0 + 0*h - 3/2*h**4.
h**2*(h - 1)**3/2
Let l = 9478 + -9475. Factor 0 - 3/4*j**l - 3/4*j - 3/2*j**2.
-3*j*(j + 1)**2/4
Suppose 36*o = 70*o. Solve o*f**3 + 3/4*f**4 + 3/4 - 3/2*f**2 + 0*f = 0.
-1, 1
Let d be (-56)/(-60) + (330/(-50) - -7). Factor 4/9*v**3 + d*v**2 - 20/9*v + 8/9 - 4/9*v**4.
-4*(v - 1)**3*(v + 2)/9
Let q(h) be the second derivative of -h