erivative of -s**8/784 + 3*s**7/245 - 3*s**6/70 + s**5/14 - 3*s**4/56 - 33*s**2. Factor q(u).
-3*u*(u - 3)*(u - 1)**3/7
Let q(u) = u**3 + 9*u**2 + 69*u + 125. Let k(n) = n**3 + 10*n**2 + 70*n + 125. Let i(t) = -6*k(t) + 5*q(t). Solve i(y) = 0 for y.
-5
Let l(n) be the third derivative of n**8/4200 + n**7/1050 - n**5/150 - n**4/60 + n**3/2 - 3*n**2. Let p(h) be the first derivative of l(h). Factor p(q).
2*(q - 1)*(q + 1)**3/5
Let o(w) be the third derivative of 3*w**2 + 0*w + 0 + 1/3*w**3 - 1/6*w**4 - 1/180*w**6 + 1/20*w**5. Let k(m) be the first derivative of o(m). Factor k(r).
-2*(r - 2)*(r - 1)
Let m(u) be the first derivative of 0*u**2 - 1 + 0*u + 1/10*u**4 + 0*u**3 - 1/15*u**6 + 0*u**5. Factor m(s).
-2*s**3*(s - 1)*(s + 1)/5
Let p(g) be the first derivative of -g**4/12 + g**2/2 + 9*g - 7. Let k(v) be the first derivative of p(v). What is r in k(r) = 0?
-1, 1
Let v(y) be the third derivative of -y**6/300 + y**5/150 + 18*y**2. What is u in v(u) = 0?
0, 1
Let u(i) be the first derivative of i**4/6 - 8*i**3/3 + 7*i**2 - 20*i/3 + 38. Factor u(q).
2*(q - 10)*(q - 1)**2/3
Let u be -1 - 1 - (66/30 - 5). Factor 12*r**4 + 20*r**3 + 14/5*r**5 + u + 6*r + 16*r**2.
2*(r + 1)**4*(7*r + 2)/5
Let h(u) be the first derivative of -3*u**5/35 - 3*u**4/28 + 2*u**3/7 + 26. Suppose h(a) = 0. Calculate a.
-2, 0, 1
Suppose -12*d**2 - 3*d + 39*d**2 - 21*d**3 - 3*d = 0. What is d?
0, 2/7, 1
Let l = 12/19 - -16/95. Factor 2/5*i**4 + l*i**3 + 0*i**2 - 4/5*i - 2/5.
2*(i - 1)*(i + 1)**3/5
Let b(n) = 9*n - 15. Let k(o) = -o**2 - 19*o + 30. Let i(t) = -5*b(t) - 3*k(t). Solve i(j) = 0.
-5, 1
Let n(r) be the first derivative of 3*r**4/16 + r**3 - 21. Solve n(v) = 0 for v.
-4, 0
Let c(p) be the first derivative of p**4/4 + p**3/3 + 5. Let y(l) = -18*l**3 + 42*l**2 - 40*l + 8. Let i(a) = -4*c(a) - y(a). Factor i(s).
2*(s - 2)*(s - 1)*(7*s - 2)
Let m(i) be the first derivative of i**4 + 8*i**3/3 - 14*i**2 + 16*i + 23. Find u, given that m(u) = 0.
-4, 1
Let o(i) be the third derivative of 1/270*i**5 + 0*i**4 + 0*i + i**2 + 0 - 1/27*i**3. Find g, given that o(g) = 0.
-1, 1
Let i(r) be the second derivative of r**4/6 + r**3/3 - 2*r**2 - 2*r. Factor i(v).
2*(v - 1)*(v + 2)
Let w be (-14 + 6)*2/(-12). Suppose a + 2 = 4. Find f, given that -10/3*f - w + 14/3*f**a = 0.
-2/7, 1
Factor -12*f**2 - 4*f - 16*f**2 - 8*f + 32*f**2.
4*f*(f - 3)
Let s(o) be the third derivative of -1/15*o**3 + 1/600*o**6 + 1/1050*o**7 + 0 + o**2 - 1/24*o**4 - 1/100*o**5 + 0*o. Factor s(i).
(i - 2)*(i + 1)**3/5
Let y be 3*(-8)/(-6) + -1. Suppose -3*w - 3 = -6*w + y*z, -5*w = 4*z - 32. Let 1/3*f**4 - 8/3*f + 0 - 2*f**3 + w*f**2 = 0. What is f?
0, 2
Let m(k) be the first derivative of k**3/2 - 3*k/2 - 36. Let m(q) = 0. Calculate q.
-1, 1
Find y, given that 0*y + 9*y**5 + 0*y**2 + y**3 + 0 + 13/2*y**4 = 0.
-1/2, -2/9, 0
Let k(h) be the third derivative of -1/1680*h**7 - 1/192*h**4 + 1/480*h**5 - 9*h**2 + 0 + 0*h + 1/960*h**6 + 0*h**3. Factor k(p).
-p*(p - 1)**2*(p + 1)/8
Let q(i) be the third derivative of -i**7/1680 - i**6/480 + i**5/40 - i**4/8 + i**2. Let p(g) be the second derivative of q(g). Solve p(t) = 0 for t.
-2, 1
Let o(v) be the third derivative of v**6/240 - v**5/120 - 3*v**4/16 + 3*v**3/4 - 2*v**2 + 1. Find x, given that o(x) = 0.
-3, 1, 3
Suppose -2*y - 3*y = 0. Let w(z) be the second derivative of 1/30*z**5 + z - 1/90*z**6 + 1/6*z**2 + 0*z**4 + y - 1/9*z**3. Solve w(g) = 0.
-1, 1
Let w(r) be the third derivative of r**6/80 - r**5/20 + r**4/16 + 13*r**2. Factor w(j).
3*j*(j - 1)**2/2
Solve -5/4*l**3 + l + 2 + 3/4*l**5 - 9/2*l**2 + 2*l**4 = 0.
-2, -2/3, 1
Suppose 4*n = 5*n - 81. Let m = -241/3 + n. Solve 7/3*t**5 + 0 + 0*t + 0*t**2 - m*t**3 + 5/3*t**4 = 0 for t.
-1, 0, 2/7
Let f = 5 + 0. Suppose -4*m = -7 - f. Factor -2/5*x**5 + 0 + 0*x - 2/5*x**2 + 2/5*x**4 + 2/5*x**m.
-2*x**2*(x - 1)**2*(x + 1)/5
Let q(l) be the second derivative of -l**4/72 - l**3/6 - 3*l**2/4 + 7*l. Factor q(b).
-(b + 3)**2/6
Factor 0 + 3/5*y - 3/5*y**3 + 0*y**2.
-3*y*(y - 1)*(y + 1)/5
Let w(o) be the second derivative of -o**5/5 + o**4/3 + 4*o**3/3 + 10*o. Determine j, given that w(j) = 0.
-1, 0, 2
Let a be (-5 - 366/(-72))/(6/54). Let 0*u + 1/4*u**4 + 1/2*u**2 + 0 + a*u**3 = 0. Calculate u.
-2, -1, 0
Let s = -86/3 + 29. Let t(b) be the first derivative of 2*b**2 + 4*b - 1 + s*b**3. Find q, given that t(q) = 0.
-2
Solve 32 - 1378*t**4 - 31*t - 28*t**3 - 49*t + 1382*t**4 + 72*t**2 = 0 for t.
1, 2
Let f(o) be the second derivative of -o**6/45 + 2*o**5/15 - 2*o**4/9 + 3*o - 2. Let f(j) = 0. What is j?
0, 2
Find k, given that 3/7*k**3 - 9/7*k**2 + 0 + 0*k = 0.
0, 3
Let o(a) be the third derivative of -a**6/240 + a**5/60 + 7*a**2. Solve o(n) = 0.
0, 2
Let g(o) be the first derivative of o**7/840 - o**6/180 + o**5/120 - 2*o**3/3 + 1. Let y(a) be the third derivative of g(a). Factor y(j).
j*(j - 1)**2
Let c(t) = -t**5 + 4*t**4 - 5*t**3 + 10*t**2. Let h(i) = -3*i**4 + 2*i**4 + 2*i**3 - 9*i**2 + 4*i**3 - 2*i**4. Let q(x) = 3*c(x) + 4*h(x). Factor q(l).
-3*l**2*(l - 1)**2*(l + 2)
Let p(a) be the first derivative of a**4/3 + 4*a**3/9 - 14. Determine i, given that p(i) = 0.
-1, 0
Let r be 3/(-12) - 7/4. Let f be 5*(-3)/105*r. Factor f*s**3 + 0 + 0*s**2 - 2/7*s.
2*s*(s - 1)*(s + 1)/7
Let s(g) = 18*g**4 + 132*g**3 + 157*g**2 + 43*g. Let w(r) = -6*r**4 - 44*r**3 - 52*r**2 - 14*r. Let o(z) = 4*s(z) + 14*w(z). Determine n, given that o(n) = 0.
-6, -1, -1/3, 0
Let f = -2 - 10. Let m(d) = d**3 + d**2 + d. Let h(b) be the first derivative of 7*b**4/2 + 6*b**3 + 9*b**2 + 2*b - 1. Let j(c) = f*m(c) + h(c). Factor j(v).
2*(v + 1)**3
Suppose -2*p + 70 = 3*p. Suppose f + 2*f = -3*b + 48, -f + p = 3*b. Factor 15*o**3 - f*o**3 + 0*o**4 + 2*o**4.
2*o**3*(o - 1)
Let s(g) be the second derivative of g**7/56 - g**6/10 + 9*g**5/40 - g**4/4 + g**3/8 + 2*g. Suppose s(d) = 0. What is d?
0, 1
Suppose 6/5 - 4/5*k - 2/5*k**2 = 0. Calculate k.
-3, 1
Let t(b) be the first derivative of -1/9*b**2 - 2/9*b - 2/45*b**5 + 4/27*b**3 + 3 + 1/9*b**4 - 1/27*b**6. Solve t(q) = 0 for q.
-1, 1
Suppose 0 = -15*r + 11*r - 52. Let a = r - -16. Factor 1/3*h**a + 1/3*h**4 + 0*h + 0*h**2 + 0.
h**3*(h + 1)/3
Let u(l) be the first derivative of -3*l**5/5 + 15*l**4/4 - 9*l**3 + 21*l**2/2 - 6*l - 6. Factor u(c).
-3*(c - 2)*(c - 1)**3
Let b(h) = 3*h**2 - 2*h - 1. Let s(k) = 3*k**2 - 3*k. Let l(x) = 3*b(x) - 4*s(x). Suppose l(n) = 0. What is n?
1
Let g = -35 - -37. Factor 1/5*x**5 - 1/5*x**4 + 0*x + 1/5*x**g - 1/5*x**3 + 0.
x**2*(x - 1)**2*(x + 1)/5
Let d(h) = -h**2 + h - 1. Let n(a) = -a**2 + 4*a + 11. Let c(r) = 2*d(r) + n(r). Suppose c(u) = 0. What is u?
-1, 3
Factor 5*f**2 + 4*f + 5*f**2 - 2*f**3 - 2*f**2 + 6*f**3.
4*f*(f + 1)**2
Determine s, given that 16/5 - 1/5*s**3 - 24/5*s + 9/5*s**2 = 0.
1, 4
Let r(i) = -5*i**5 - 2*i**4 + 10*i**3 + 4*i**2 + i + 4. Let w(y) = 14*y**5 + 5*y**4 - 29*y**3 - 11*y**2 - 2*y - 11. Let c(p) = 17*r(p) + 6*w(p). Factor c(s).
-(s - 1)*(s + 1)**3*(s + 2)
Let d be (30/21 - 2)/((-12)/14). Let u(b) be the first derivative of -3/5*b**5 + 1/2*b**4 + d*b**3 + b + 1/6*b**6 - 2 - 3/2*b**2. Factor u(z).
(z - 1)**4*(z + 1)
Let t(p) = 5*p**2 - 5. Let x be t(-5). Let j be x/175 + 2/(-5). Solve 0 - j*z + 6/7*z**3 + 4/7*z**2 = 0.
-1, 0, 1/3
Let q be (-56)/(-21) + (-14)/21. Let 1/3*d**q + 1/3 + 2/3*d = 0. What is d?
-1
Let x be 1/(((-190)/4)/(-5)). Let r = x + 24/133. Factor 6/7*h - r*h**2 - 4/7.
-2*(h - 2)*(h - 1)/7
Let l(w) be the third derivative of -w**7/42 - 3*w**6/8 - 7*w**5/3 - 15*w**4/2 - 40*w**3/3 - 27*w**2. Factor l(x).
-5*(x + 1)*(x + 2)**2*(x + 4)
Let i be (-27 - -9) + 2*1. Let y be i/(-12)*9/8. Factor -1/2*b - b**2 + y*b**3 + 0.
b*(b - 1)*(3*b + 1)/2
Let r be ((-1)/14)/((-1)/12). Let c = -342 + 346. Determine z so that -2/7*z**c + 6/7*z**3 + 2/7*z + 0 - r*z**2 = 0.
0, 1
Let u be (-6 - -5) + 14/12. Let h(c) be the second derivative of 4/3*c**3 + 4*c**2 + 0 - c + u*c**4. Determine p, given that h(p) = 0.
-2
Let o be -4 - (3 + -7) - -3. Let s(k) be the first derivative of -3*k**2 - 3 + 0*k**o + 1/2*k**4 + 4*k. Factor s(i).
2*(i - 1)**2*(i + 2)
Let g = 1/19 + 15/76. Let i(n) be the second derivative of 1/24*n**4 + 0 + g*n**2 - 1/6*n**3 + n. Factor i(u).
(u - 1)**2/2
Let h(a) = -a + 1. Let t(v) = v**4 - 3*v**3 - v**2 + v + 2. Let y(m) = -2*h(m) + t(m). Factor y(k