the first derivative of 5*t**6/2 + 69*t**5/5 + 15*t**4 - 12*t**3 + 42. Suppose m(l) = 0. Calculate l.
-3, -2, 0, 2/5
Let l(b) be the first derivative of -b**5/15 - b**4/6 + b**2/3 + b/3 - 101. Solve l(h) = 0.
-1, 1
Let m(v) = v + 5. Let q be m(7). Factor 5 - q + 6*n + 3*n**2 + 10.
3*(n + 1)**2
Let c(r) be the first derivative of r**9/3024 - r**8/840 - r**7/840 + r**6/180 - 5*r**3 - 15. Let m(n) be the third derivative of c(n). Factor m(a).
a**2*(a - 2)*(a - 1)*(a + 1)
Let k(s) = 5*s**3 - s**2. Let o(q) = q**4 - 45*q**3 + 12*q. Let r(h) = -24*k(h) - 3*o(h). Let r(t) = 0. What is t?
-2, 0, 1, 6
Suppose 3*s + 16 = -f + 6*f, -3*f - 2*s = -2. Let v(q) be the second derivative of 8*q**f - 8/3*q**3 + 5*q + 1/3*q**4 + 0. Factor v(j).
4*(j - 2)**2
Suppose -z - 3*z = -88. Let o(y) = -3*y**3 + 5*y**2 - y - 3. Let l(j) = -16*j**3 + 26*j**2 - 6*j - 15. Let u(h) = z*o(h) - 4*l(h). Factor u(a).
-2*(a - 3)*(a - 1)*(a + 1)
Suppose 13 = 9*c - 23. Let k(b) be the second derivative of 0*b**2 - c*b - 1/4*b**4 - 3/20*b**5 + 0 - 1/30*b**6 - 1/6*b**3. Determine v, given that k(v) = 0.
-1, 0
Let g = -3817/138 + 640/23. What is w in -1/6*w**2 - g*w**3 + 1/6*w**4 + 0 + 1/6*w**5 + 0*w = 0?
-1, 0, 1
Let q = 6670 - 13617/2. Let w = q - -140. Let 2*u**4 + 0 + 0*u**2 - w*u**5 + 2*u**3 + 0*u = 0. Calculate u.
-2/3, 0, 2
Let j(h) be the second derivative of 1/20*h**5 + 0*h**2 + 0*h**3 + 0 + 1/30*h**6 - 1/6*h**4 + 8*h. Solve j(z) = 0 for z.
-2, 0, 1
Let t(g) be the second derivative of -5/3*g**4 - 2/25*g**6 - 27/25*g**5 - 21*g + 2/21*g**7 - 4/5*g**3 + 0*g**2 + 0. Solve t(r) = 0.
-1, -2/5, 0, 3
Factor 16*p + 2/9*p**2 + 288.
2*(p + 36)**2/9
Let u(y) = 4*y**4 + 317*y**3 + 210*y**2 + 39*y. Let r(d) = -3*d**4 - 318*d**3 - 211*d**2 - 40*d. Let x(p) = 5*r(p) + 6*u(p). Solve x(s) = 0.
-34, -1/3, 0
Suppose 3*t - 3*q - 9 = 0, -5*t + 3 = -2*q + 3*q. Let w = t - -2. Factor 0*u**w - 2*u**2 + 4 - u**3 + 7*u**2 - 8*u.
-(u - 2)**2*(u - 1)
Let m = -14369/4 + 3593. Find f, given that 0 + 17/4*f**3 + 4*f**5 - 5*f**2 + 14*f**4 + m*f = 0.
-3, -1, 0, 1/4
Let v(m) be the first derivative of 4/9*m**3 - 1/5*m**5 - 1/3*m + 0*m**2 - 4 + 1/9*m**6 - 1/6*m**4. Solve v(x) = 0 for x.
-1, -1/2, 1
Let b = 2 - -2. Suppose 122*f = 119*f + 39. Factor 23*k**b - f*k**4 - 7*k**4.
3*k**4
Let k(q) = -24*q**2 + 4*q - 2. Let y(l) = 31 + l**2 - 31. Let j(b) = -2*k(b) - 44*y(b). Factor j(d).
4*(d - 1)**2
Let d = -97 + 98. Let u be (d*(-12)/21)/((-10)/14). Factor 0*s + 2/5*s**2 + 0 + 2/5*s**4 - u*s**3.
2*s**2*(s - 1)**2/5
Let r be (17 - 13)/(17 - (-3 + 8)). Let -2/3*q**2 + r*q**3 - 7/3*q - 4/3 = 0. What is q?
-1, 4
Let t(z) be the second derivative of 7*z**5/60 + z**4/72 - z**3/12 - 3*z + 36. What is y in t(y) = 0?
-1/2, 0, 3/7
Suppose 3*q + 10 = 2*q. Let t = 13 + q. Factor 18/13*l**2 - 10/13*l**t + 4/13 - 14/13*l + 2/13*l**4.
2*(l - 2)*(l - 1)**3/13
Find k, given that 44376*k + 311942 - 426332 + 2*k**3 + 1386502 + 516*k**2 = 0.
-86
Factor -20/3*d - 3/2*d**3 + 2 + 13/2*d**2.
-(d - 3)*(3*d - 2)**2/6
Let s(l) = l**2 - 1. Let a(q) = -4*q**2 - 48*q - 573. Let w(h) = -a(h) - 3*s(h). Factor w(z).
(z + 24)**2
Let k = 5 + 11. Suppose 2*q + 7 = -5*w, 2*q - 4*w - k = q. Factor 3*v - 3*v**2 + 0*v**3 - 1 + v**3 + 4 - q*v**3.
-3*(v - 1)*(v + 1)**2
Suppose -4 = 4*v - 100. Suppose 5*j - 5 = -3*x, 0 = -2*j + 3*x + v - 1. Factor -b**j + b**3 - 12 + 12.
-b**3*(b - 1)
Let x(v) = -v**3 + 7*v**2 + 2. Let g be x(7). Solve -o**4 - o**3 - 36*o**2 + 36*o**g = 0 for o.
-1, 0
Suppose m = -2*m + 15. Factor -5*z**3 - 3*z + 0 + 8*z + 4*z**2 - 19*z**2 + 10 + m*z**4.
5*(z - 2)*(z - 1)*(z + 1)**2
Let a be 6/(-4) + 25/(-2100)*-182. Factor -4/3*o**2 + 2*o**3 + 0*o**4 + 0*o + 0 - a*o**5.
-2*o**2*(o - 1)**2*(o + 2)/3
Find w, given that -2/9*w**2 + 8/3 + 2/9*w = 0.
-3, 4
Let o(v) be the first derivative of -2*v**5/5 - 10*v**4 - 36*v**3 - 52*v**2 - 34*v - 10. Find z, given that o(z) = 0.
-17, -1
Let d(m) = m**2 - m - 1. Let a(n) = -24*n**2 + 10*n + 12. Let q(z) = -2*a(z) - 44*d(z). Find j, given that q(j) = 0.
-5, -1
Let f(l) be the first derivative of -l**6/15 - 6*l**5/25 - l**4/5 + 17. Factor f(y).
-2*y**3*(y + 1)*(y + 2)/5
Factor 18*x**2 + 9726 + 318*x - x**2 + 15555 - 6*x**2 - 10*x**2.
(x + 159)**2
Suppose 11 = -4*r + 3*m - 6*m, 2*m + 4 = -2*r. Let q be 3*(-3)/(-297) - r/15. Factor -2/11*v + 2/11*v**2 - q.
2*(v - 2)*(v + 1)/11
Find r, given that 15/7 + 93/7*r + 18/7*r**2 = 0.
-5, -1/6
Let q(m) be the first derivative of -m**8/420 - m**7/70 - m**6/45 - 4*m**3/3 + 3. Let k(d) be the third derivative of q(d). Factor k(s).
-4*s**2*(s + 1)*(s + 2)
Let r(w) = -w**3 + 3*w**2 + 8*w - 5. Let j be r(5). Let l = 20 + j. Factor 0*y**2 + 2*y**2 - l*y**2 + 3*y**4 - 3*y + 3*y**3 + 0*y**4.
3*y*(y - 1)*(y + 1)**2
Let v(g) = -3*g - 40. Let b be v(-15). Let w be (-28)/(-60)*b - (1 - 0). Factor w*r - 2 - 2/9*r**2.
-2*(r - 3)**2/9
Let u(d) be the third derivative of -1/80*d**6 + 0 + 3/16*d**4 + 1/20*d**5 + 0*d**3 + 0*d + 15*d**2. Find n, given that u(n) = 0.
-1, 0, 3
Let z(k) be the first derivative of k**4/6 + k**3/3 - k/3 + 70. Factor z(o).
(o + 1)**2*(2*o - 1)/3
Factor -m**2 + 28*m + 16*m**4 + 0*m**2 - 17*m**2 - 14*m**4 - 12*m**3.
2*m*(m - 7)*(m - 1)*(m + 2)
Let l(k) = -k**2 - 19*k + 51. Let r be l(-22). Let w be -5*r/100 - 1/4. Find f such that 1/2*f**3 - 1/4*f**4 + 1/4*f**2 - w*f + 0 = 0.
-1, 0, 1, 2
Let i(f) be the first derivative of -2 + 0*f**3 - 1/120*f**5 + 0*f**4 + 0*f - 1/120*f**6 - 5/2*f**2. Let v(u) be the second derivative of i(u). Factor v(a).
-a**2*(2*a + 1)/2
Let o = -2 + 1. Let f be 2 + -1 - (-1 + o). Solve 10*r**3 - 6*r**3 - 6*r**4 - 9*r**2 + 8*r**3 + f*r**3 = 0.
0, 1, 3/2
Suppose t + t - 16 = 0. Let g be (-6)/t*8/(-3). Factor g*n**3 + 4*n**2 - 6*n**2 + 2*n**4 - 2*n + 0*n**3 + 0*n**2.
2*n*(n - 1)*(n + 1)**2
Let h = 2/8195 - -6478/319605. Let j(n) be the second derivative of -h*n**6 + 1/39*n**3 - 6*n + 3/65*n**5 - 2/39*n**4 + 0*n**2 + 1/273*n**7 + 0. Factor j(c).
2*c*(c - 1)**4/13
Suppose 0 = 4*s - 0*c - 3*c - 50, -4*c = s - 3. Suppose -3 + s = 4*n. Factor 0 + 1/6*i**n + 1/3*i - 1/2*i**3.
-i*(i - 1)*(3*i + 2)/6
Let q(l) = -20*l**2 + 545*l - 5. Let d(b) = -9*b**2 + 270*b - 2. Let r(x) = -5*d(x) + 2*q(x). Suppose r(f) = 0. Calculate f.
0, 52
Suppose 0*s**2 + 0 + s**3 - 1/6*s**4 + 0*s = 0. Calculate s.
0, 6
Factor 3/7*o**4 + 6/7*o**3 + 3/7*o**2 + 0*o + 0.
3*o**2*(o + 1)**2/7
Let m(k) = 6*k**4 + 12*k**3 - 24*k**2 - 30*k + 3. Let i(x) = 5*x**4 + 12*x**3 - 23*x**2 - 30*x + 2. Let l(q) = 3*i(q) - 2*m(q). Solve l(h) = 0 for h.
-5, -1, 0, 2
Let x be (-4 - 200/(-48))*(-1367 + 0). Let u = 228 + x. Determine b so that 0*b + 0 - 1/6*b**3 - u*b**2 = 0.
-1, 0
Suppose -482*p + 456*p = 0. Factor -6/7*v + p + 2/7*v**2.
2*v*(v - 3)/7
Let x(o) be the first derivative of o**6/90 + o**5/45 + o**4/108 - 32*o + 16. Let f(j) be the first derivative of x(j). Let f(i) = 0. What is i?
-1, -1/3, 0
Let r(h) be the third derivative of h**5/20 - 7*h**4/8 - 85*h**2. Factor r(g).
3*g*(g - 7)
Let q(n) = n**2 - 8*n + 7. Let s be q(-7). Let c be 1/(2/32)*28/s. Suppose 9/5*y**2 - 12/5*y - 12/5 + 3/5*y**c + 12/5*y**3 = 0. Calculate y.
-2, -1, 1
What is u in -1/3*u**5 - 2*u - u**4 + 11/3*u**2 - 8/3 + 7/3*u**3 = 0?
-4, -1, 1, 2
Let c(l) be the third derivative of l**8/70560 + l**7/5880 - l**6/630 + 2*l**5/15 - 13*l**2. Let s(f) be the third derivative of c(f). Factor s(r).
2*(r - 1)*(r + 4)/7
Let y(c) = 5*c**2 + 2*c + 2. Let l be y(-1). Let m be 2/l + (1 - 2/(-2)). Factor m*i + 2/5*i**2 + 18/5.
2*(i + 3)**2/5
Let y(i) = 5*i + 22. Let g be y(-4). Let j(r) be the third derivative of 0*r**3 + 0*r - 1/80*r**5 - g*r**2 + 1/480*r**6 + 1/48*r**4 + 0. Factor j(s).
s*(s - 2)*(s - 1)/4
Let f(s) be the second derivative of -s**4/8 + 11*s**3/2 - 30*s**2 - 408*s. Let f(w) = 0. What is w?
2, 20
Let f be 57/(-38)*4/(-3). Let g(u) be the second derivative of 0 + u - 4/3*u**3 - 1/12*u**4 - 2*u**f + 3/20*u**5. Solve g(t) = 0 for t.
-1, -2/3, 2
Let k(z) be the first derivative of -1/2*z**2 + 1 + 7/12*z**3 + 0*z - 1/20*z**5 - 1/8*z**4. Find x, given that k(x) = 0.
-4, 0, 1
Let t(o) be the third derivative of 0*o**7 + 1/4*o**6 + 0*o - 1/112*o**8 + 15/8*o**4 - 14*o**2 + 2*o**3 + o**5 + 0. Factor t(u).
-3*(u - 4)*(u + 1)**4
Let t(g) be the second derivative of g**5/150 + g**4/30 - 2*g**3/15 - 8*g**2/15 + 6*g + 4. Fact