t*(t - 2)**2*(t + 1)/2
Let s(k) be the third derivative of 0*k + 1/30*k**6 + 0 + 0*k**3 + 2/9*k**4 + 11*k**2 - 2/15*k**5 - 1/315*k**7. Factor s(m).
-2*m*(m - 2)**3/3
Let g(k) = -20*k**2 - 80*k - 315. Let d(r) = 3*r**2 - 1. Let p(f) = 5*d(f) + g(f). Factor p(j).
-5*(j + 8)**2
Let k(f) be the third derivative of 0 + 1/6*f**3 + 24*f**2 - 1/336*f**8 - 1/30*f**5 + 1/210*f**7 - 1/24*f**4 + 0*f + 1/60*f**6. Factor k(x).
-(x - 1)**3*(x + 1)**2
Let g(x) be the third derivative of -3/8*x**4 + 0 + 0*x - 1/40*x**6 - 10*x**2 + 3/20*x**5 + 1/2*x**3. Factor g(b).
-3*(b - 1)**3
Let d = 36 - 31. Suppose -u + 0 = -d*i + 13, -2*u = 6. Factor -4/7*n**i + 4/7 - 2/7*n + 2/7*n**3.
2*(n - 2)*(n - 1)*(n + 1)/7
Suppose f = 2*f - 2. Let d be 50/30*6/25. Solve d*t**f + 18/5 - 12/5*t = 0.
3
Let p(h) be the second derivative of -h**4/48 - 67*h**3/12 - 4489*h**2/8 - 3*h + 79. Factor p(a).
-(a + 67)**2/4
Let b(d) be the third derivative of -d**8/672 + 17*d**7/420 - d**6/8 - d**5/60 + 31*d**4/48 - 5*d**3/4 + 116*d**2. What is a in b(a) = 0?
-1, 1, 15
Let v(p) be the first derivative of 2*p**5/5 + 3*p**4/4 - 1. Let j = -162 - -159. Let g(a) = a. Let z(i) = j*g(i) + 3*v(i). Factor z(d).
3*d*(d + 1)**2*(2*d - 1)
Let b be (85/(-15))/17*-1. Factor -b*p**3 - p**2 + 0*p + 4/3.
-(p - 1)*(p + 2)**2/3
Suppose 180 = 25*n + 20*n. Let b(t) be the second derivative of 0*t**2 + 1/3*t**3 + 1/4*t**n + 0 + 3*t - 1/30*t**6 + 0*t**5. Factor b(i).
-i*(i - 2)*(i + 1)**2
Let f = 771 + -41633/54. Let z(d) be the second derivative of 0 + 0*d**3 - 3*d - f*d**4 + 0*d**2. Determine y so that z(y) = 0.
0
Let f(q) = q**3 - q**2 + q - 2. Let k(c) = 5*c**3 - 43*c**2 + 73*c - 18. Let r(p) = f(p) + k(p). Factor r(n).
2*(n - 5)*(n - 2)*(3*n - 1)
Let 1/2*g**4 - 2*g**2 + 0*g - 3/2*g**3 + 0 = 0. What is g?
-1, 0, 4
Suppose 0 = f + 2*f - 12, 0 = -y - 5*f + 25. Let u be 9 + (-10 + y - -1). Factor -5*x**4 - 3/2*x**u + 0 - 37/6*x**3 - 2/3*x - 10/3*x**2.
-x*(x + 1)**2*(3*x + 2)**2/6
Let j be 1*(6/2 - 10). Let s be (j/(-3))/((-5)/(-30)). Factor -7*t**2 - s*t**3 + 2 + 8*t - 14*t**2 - 4*t**2 + 2.
-(t + 2)*(2*t - 1)*(7*t + 2)
Let n = -22 + 56. Let j(y) = 6*y**3 + 46*y**2 + 23*y - 17. Let i(r) = r**3 + 8*r**2 + 4*r - 3. Let q(o) = n*i(o) - 6*j(o). Factor q(k).
-2*k*(k + 1)**2
Let u(w) = 8*w**3 + 7*w**2 - 3*w - 2. Let l(k) = -k**3 - k**2. Let o = -11 + 10. Let p(n) = o*u(n) - 5*l(n). Factor p(a).
-(a - 1)*(a + 1)*(3*a + 2)
Let b(u) be the third derivative of u**5/4 - 7*u**4/2 - 6*u**3 - 2*u**2 - 12. Solve b(m) = 0.
-2/5, 6
Let h(o) = -3*o**3 + 25*o**2 - 22*o. Let p(v) = 5*v**3 - 25*v**2 + 20*v. Let j(s) = -3*h(s) - 2*p(s). Factor j(k).
-k*(k - 1)*(k + 26)
Suppose -5*o + 4*v = -35, -5*o - v = -4*v - 30. Let 5*j - 2*j - 4*j**5 + 4*j**o - 3*j = 0. What is j?
-1, 0, 1
Let v be ((-95)/19 + 11)/(0 + 5). Factor v*z**2 - 18/5*z + 0.
6*z*(z - 3)/5
Factor -4*m**2 - 98*m + 7*m**2 + 33*m + 51 + 11*m.
3*(m - 17)*(m - 1)
Suppose -4*x + 8*x - 12 = 0. Let v(d) = 3*d**2 - x + 2*d**3 + 2*d**3 - 5*d**3 - 9*d. Let o(b) = b**2 - 4*b - 1. Let r(t) = 5*o(t) - 2*v(t). Factor r(n).
(n - 1)*(n + 1)*(2*n - 1)
Let q be (54/(-4))/((-2)/(-20)). Let l = q + 679/5. Factor l*b**2 + 0 + 0*b.
4*b**2/5
Let o = 148 - 68. Suppose 6*b - 7*b + o = 0. Factor 48*g - 8*g - 7*g**2 - b + 2*g**2.
-5*(g - 4)**2
Let d(s) be the second derivative of s**5/30 - 4*s**4/9 + 5*s**3/9 + 14*s**2/3 + 128*s. Factor d(k).
2*(k - 7)*(k - 2)*(k + 1)/3
Let t = -418 - -422. Let q(x) be the second derivative of -3*x + 1/10*x**t + 0*x**2 - 1/50*x**5 + 0 - 2/15*x**3. Determine f so that q(f) = 0.
0, 1, 2
Let w(t) be the second derivative of 23*t + 0*t**2 - 1/60*t**4 + 0 - 1/50*t**6 - 1/30*t**3 + 1/20*t**5. Factor w(s).
-s*(s - 1)**2*(3*s + 1)/5
Let t(l) be the second derivative of l**6/135 - 2*l**5/45 - 7*l**4/54 + 10*l**3/27 - 10*l - 2. Factor t(p).
2*p*(p - 5)*(p - 1)*(p + 2)/9
Suppose -9*j - 10 = -14*j. Let v(p) be the first derivative of 4/3*p**2 + 8/3*p**3 + 3/2*p**4 + 4/15*p**5 + 0*p + j. Find x, given that v(x) = 0.
-2, -1/2, 0
Suppose 14*v = -172 - 192. Let p be (-36)/(-27)*(-3)/v. Factor 0 + 2/13*n + p*n**2.
2*n*(n + 1)/13
Let f(h) be the third derivative of h**7/70 - h**6/30 - h**5/60 + h**4/12 - 64*h**2. Factor f(g).
g*(g - 1)**2*(3*g + 2)
Let x(t) = -10*t**3 - 19*t**2 - 26*t - 7. Let a(h) = 10*h**3 + 20*h**2 + 24*h + 6. Let z(b) = 7*a(b) + 6*x(b). Let z(j) = 0. Calculate j.
-2, -3/5, 0
Let t = 9 - -5. Factor 1 - 1 + 12*q**2 + t*q - 3*q**3 - 26*q.
-3*q*(q - 2)**2
Let t = 17 + -14. Find x such that 0*x - x - 4*x**3 - 2*x + 3*x**3 + t*x**2 + 1 = 0.
1
Let l(h) be the first derivative of 1/15*h**4 - 2/45*h**3 + 6 + 0*h**2 + 0*h - 2/75*h**5. Factor l(j).
-2*j**2*(j - 1)**2/15
Factor 387 + 127 - 96*s + 834 + 2*s**2 - 196.
2*(s - 24)**2
Let w(c) be the third derivative of 2*c**2 + 0*c + 0*c**3 + 0 + 2/9*c**4 + 3/5*c**7 + 9/56*c**8 + 9/10*c**6 + 2/3*c**5. Find y such that w(y) = 0.
-2/3, -1/3, 0
Let z(d) be the first derivative of -d**6 + 204*d**5/25 + 3*d**4/5 - 272*d**3/5 - 351*d**2/5 - 108*d/5 + 289. Let z(k) = 0. What is k?
-1, -1/5, 3, 6
Let q(y) = 7*y - 47. Let z be q(7). Let -j - 2*j**2 - 2*j**2 + z*j**3 + 3*j + 0*j = 0. What is j?
0, 1
Let q(n) be the second derivative of 1/21*n**4 - 4/7*n**2 - 2/21*n**3 + 0 + n. Suppose q(l) = 0. What is l?
-1, 2
Let w(m) be the first derivative of -2*m**5/55 - m**4/22 + m**3/33 + 36*m - 36. Let o(p) be the first derivative of w(p). Find g such that o(g) = 0.
-1, 0, 1/4
Let k(r) be the third derivative of -r**7/1050 - r**6/200 - r**5/150 - 56*r**2. Suppose k(x) = 0. Calculate x.
-2, -1, 0
Suppose -6*k = 8*k + 96 - 138. Find w such that -2/7*w**k - 6/7 - 2*w - 10/7*w**2 = 0.
-3, -1
Let p(g) be the second derivative of -g**5/70 + 13*g**3/21 + 12*g**2/7 - 3*g + 1. Find d such that p(d) = 0.
-3, -1, 4
Let a(m) be the first derivative of 5*m**6/6 - 7*m**5 + 45*m**4/2 - 100*m**3/3 + 20*m**2 - 9. Factor a(y).
5*y*(y - 2)**3*(y - 1)
Determine w, given that 2197*w**4 - 2515*w**3 + 8549*w**3 - 172*w - 254*w**5 + 40 + 121*w**4 - 516*w - 468*w**5 + 2266*w**2 = 0.
-1, 2/19, 5
Find j such that 45*j**3 + 10*j + 35*j**2 + 24*j**4 + 8*j**4 - 7*j**4 + 5*j**5 = 0.
-2, -1, 0
Let i(o) be the second derivative of -o**7/273 - 4*o**6/65 - 11*o**5/65 + 14*o**4/13 - 49*o**3/39 - 44*o. Factor i(k).
-2*k*(k - 1)**2*(k + 7)**2/13
Let v(w) = 2*w**4 - 2*w**3 - 2*w**2 + 6*w. Let l(c) = c**3 - 3*c. Let j(u) = 2*u**3 - 5*u. Let p(s) = -4*j(s) + 7*l(s). Let z(x) = 4*p(x) + 2*v(x). Factor z(r).
4*r*(r - 2)*(r - 1)*(r + 1)
Let j(z) = -4*z - 7. Let h be j(-3). Suppose 0 = -2*p + v + h, -5*p + 10*p - v - 14 = 0. Factor -4*b**4 + 8*b - 12 + 0*b - 6*b**p + 14*b**2 - 2*b**3 + 2*b**2.
-4*(b - 1)**2*(b + 1)*(b + 3)
Suppose 4*l + 16 = -4*j, 5*l + 5 = j - 3. Let m be (0 - (-4)/66)*(j - -14). Factor 2/11*g**5 + 0*g**3 - m*g**2 + 0 + 0*g + 6/11*g**4.
2*g**2*(g - 1)*(g + 2)**2/11
Let i = 113/2 + -56. Suppose -14*x + 4 = -12*x. Suppose 1/4*n**x - 1/4*n - i = 0. What is n?
-1, 2
Let o = 330 + -1647/5. Factor -9/5*g + 0 + o*g**2.
3*g*(g - 3)/5
Suppose 33 = 3*v - 4*z - 5, -3*z = 15. Determine r, given that 129*r - r**3 - 3*r**5 + 12*r**2 - 80*r - 61*r + 10*r**3 - v*r**4 = 0.
-2, 0, 1
Suppose 0 = -g - 5*k - 25, -30*k + 28*k - 10 = 2*g. Determine i so that -4/7*i + 4/7*i**5 + 8/7*i**2 - 8/7*i**4 + 0*i**3 + g = 0.
-1, 0, 1
Factor 12 + 2*y**4 + 6*y**3 + 170*y**2 + 0*y**4 - 176*y**2 - 14*y.
2*(y - 1)**2*(y + 2)*(y + 3)
Let n = 3811 - 26671/7. Factor -1/7*d**2 + 1 + n*d.
-(d - 7)*(d + 1)/7
Let h(s) be the second derivative of -s**6/90 + 7*s**5/30 - 5*s**4/4 + 26*s**3/9 - 10*s**2/3 - 124*s. Factor h(u).
-(u - 10)*(u - 2)*(u - 1)**2/3
Let t(n) be the first derivative of 9*n**4/14 + 22*n**3/21 - 16*n**2/7 - 8*n/7 + 263. Determine b, given that t(b) = 0.
-2, -2/9, 1
Suppose 337 = -4*i - 5*t - 31, -12 = -3*t. Let j = i + 101. Solve 10/3*z**4 - j*z**2 + 4/3*z**3 - 2*z**5 + 2/3 + 2/3*z = 0 for z.
-1, -1/3, 1
Let x(f) be the third derivative of -f**6/720 + f**5/36 - 7*f**4/36 + 2*f**3/3 + 163*f**2 - 1. Let x(c) = 0. What is c?
2, 6
Suppose 19 - 199 = 5*n. Let v be ((-3)/9)/(2/n). Factor 1 - 4 + v - 3*w**2 + 0*w**2.
-3*(w - 1)*(w + 1)
Let m(f) be the second derivative of -9*f - 5/6*f**4 + 0 + 0*f**2 + 2/3*f**3. Let m(z) = 0. Calculate z.
0, 2/5
Let g(j) be the third derivative of -j**8/2016 + j**7/210 - j