 of -w**4/6 + 2*w**3/3 - w**2 + 5*w. Factor f(n).
-2*(n - 1)**2
Let i(j) be the first derivative of -8*j**5/5 + 9*j**4/2 + 4*j**3/3 - 9*j**2 + 4*j - 11. Find s, given that i(s) = 0.
-1, 1/4, 1, 2
Let k(c) = -c - 4. Suppose -r = -7*v + 2*v + 2, 5*r - v = -34. Let t be k(r). Factor 2*l + 0*l**t - 3*l**3 + l**3 - 2*l**2 + 2.
-2*(l - 1)*(l + 1)**2
Let c(z) be the third derivative of -z**7/420 + z**6/240 + 10*z**2. Factor c(y).
-y**3*(y - 1)/2
Let q(t) be the second derivative of -t**5/4 + 5*t**4/3 + 25*t**3/6 + 43*t. Determine j, given that q(j) = 0.
-1, 0, 5
Let n = 5 + -3. Suppose -g + 0 = -n. Factor 26*r**2 - 15*r**g + 19*r**2 - 8 + 8*r.
2*(3*r + 2)*(5*r - 2)
Let a(k) be the second derivative of -k**5/20 + k**4/6 - k**3/6 - 5*k. Factor a(d).
-d*(d - 1)**2
Let y(d) be the first derivative of 14/5*d**5 + 2*d**2 - d**4 - 14/3*d**3 + 0*d - 1. Factor y(j).
2*j*(j - 1)*(j + 1)*(7*j - 2)
Let v(a) be the third derivative of -1/2*a**3 + 0 + 4*a**2 + 1/60*a**5 + 1/12*a**4 + 0*a. Let v(f) = 0. What is f?
-3, 1
Let x(q) = 5*q**2 - 5*q + 3. Let t(n) = -4*n**2 + 6*n - 4. Let m(f) = 3*t(f) + 2*x(f). Find g, given that m(g) = 0.
1, 3
Let p(v) be the first derivative of v**7/147 - v**6/105 - v**5/70 + v**4/42 - 5*v - 7. Let k(o) be the first derivative of p(o). Factor k(z).
2*z**2*(z - 1)**2*(z + 1)/7
Let w(p) be the first derivative of 4*p**3/9 - 4*p**2/3 - 4*p - 25. Determine a, given that w(a) = 0.
-1, 3
Let d(c) be the first derivative of -c**6/6 - c**5 - 3*c**4/4 + 5*c**3/3 + 2*c**2 + 48. Factor d(q).
-q*(q - 1)*(q + 1)**2*(q + 4)
Suppose 2*q + 4 = 0, q + 9 = 3*h - 2*q. Suppose -4*w + 9 - h = 0. Factor -3*p**3 - p**w - p**5 + 3*p**3 + p**3 + p**4.
-p**2*(p - 1)**2*(p + 1)
Suppose 6*w - 407 = -155. Let v(y) be the first derivative of 3 - 21*y**4 - 147/5*y**5 + w*y**2 + 45*y**3 + 12*y. What is c in v(c) = 0?
-1, -2/7, 1
Factor -2/3*m + 4/21*m**4 - 4/21*m**3 - 4/21 + 2/21*m**5 - 16/21*m**2.
2*(m - 2)*(m + 1)**4/21
Let t(h) be the first derivative of 9/2*h**4 + 3/2*h**2 + 12/5*h**5 + 4*h**3 + 1 + 0*h + 1/2*h**6. What is c in t(c) = 0?
-1, 0
Let t(q) be the first derivative of 0*q**4 + 0*q + 0*q**3 - 1/12*q**6 - 4 + 0*q**2 + 1/10*q**5. Factor t(p).
-p**4*(p - 1)/2
Suppose -3*w = -h - 4*w - 2, -h = -5*w - 22. Suppose -h*j = -10 + 2. Determine k so that 6/11*k**2 - 2/11*k**j + 0 + 0*k**3 - 4/11*k = 0.
-2, 0, 1
Let m(t) = -6*t**2 - 6*t - 10. Let a(x) = x**2 + x + 2. Let q(k) = -22*a(k) - 4*m(k). Find y such that q(y) = 0.
-2, 1
Let g(n) be the first derivative of n**4/12 - n**3/2 - 3*n - 4. Let a(w) be the first derivative of g(w). Suppose a(q) = 0. Calculate q.
0, 3
Factor 4/9*u**3 - 2/9*u**4 + 0 - 4/9*u + 2/9*u**2.
-2*u*(u - 2)*(u - 1)*(u + 1)/9
Let r(c) be the second derivative of 0*c**4 + 0*c**3 + 0 + 1/10*c**5 - c + 0*c**2 + 1/15*c**6. Determine f, given that r(f) = 0.
-1, 0
Let k(g) be the second derivative of -3*g**5/20 - 3*g**4/4 - g**3 + 10*g. Factor k(l).
-3*l*(l + 1)*(l + 2)
Factor 2/13*b - 4/13 + 2/13*b**2.
2*(b - 1)*(b + 2)/13
Let p = -6 - -18. Factor 1 + 12*s - 3*s**2 + 2 - p*s**3 + 0*s**2.
-3*(s - 1)*(s + 1)*(4*s + 1)
Let g(f) be the second derivative of f**6/720 + f**5/240 + 5*f**3/6 + 6*f. Let j(q) be the second derivative of g(q). Factor j(w).
w*(w + 1)/2
Let f(v) be the third derivative of v**5/210 + v**4/42 - 7*v**2. Find m such that f(m) = 0.
-2, 0
Let n be (38/(-5) + 7)/(1/(-5)). Let p(u) be the second derivative of -2/9*u**n + 0 - 2*u - 1/36*u**4 - 2/3*u**2. Solve p(k) = 0.
-2
Let f be (-12)/(-8)*(-19)/3. Let w = 10 + f. Suppose 1/2*d**3 + w - 1/2*d**2 - 1/2*d = 0. Calculate d.
-1, 1
Suppose 0 = 3*x - 6, -n + 5*n - 58 = 3*x. Let o be 0/(-2) + n/4. Factor 2*s**4 + o*s - 3*s + 2*s**5 - s.
2*s**4*(s + 1)
Let i(z) be the third derivative of -z**5/30 - 7*z**4/12 + 8*z**3/3 + 63*z**2. Solve i(m) = 0 for m.
-8, 1
Let b(t) be the second derivative of 3*t**6/65 + t**5/65 + 26*t. Let b(q) = 0. What is q?
-2/9, 0
Let q(b) be the second derivative of 0 - b + 1/8*b**4 - b**2 + 1/40*b**5 + 0*b**3. Suppose q(x) = 0. Calculate x.
-2, 1
Let i(y) be the second derivative of -y**5/130 + y**4/13 - 3*y**3/13 + 6*y. Factor i(c).
-2*c*(c - 3)**2/13
Let h(l) = 4*l**3 + l**2 - 10*l - 4. Let r(y) = 2*y + 1. Let m(s) = h(s) + 3*r(s). Factor m(d).
(d - 1)*(d + 1)*(4*d + 1)
Let z(n) = -3*n - 11. Let p be z(-6). Let b be 32/10 - (p + -4). Factor -3/5*v - b*v**2 - 2/5.
-(v + 1)*(v + 2)/5
Let j(q) = -5*q - 13. Let h(y) = 4*y + 13. Let o(z) = 4*h(z) + 3*j(z). Let v be o(-10). Factor -2/9*f**4 + 4/9*f**v + 0 - 2/9*f**2 + 0*f.
-2*f**2*(f - 1)**2/9
Let i(d) = 4*d**2 - 4. Let k(b) = -b**3 + 15*b**2 - 2*b**2 + 4*b**3 - 13 - 2*b**3 - b. Let u(z) = -7*i(z) + 2*k(z). Factor u(h).
2*(h - 1)**2*(h + 1)
Factor 2/11*r**2 + 4/11*r - 6/11.
2*(r - 1)*(r + 3)/11
Let v(r) be the first derivative of 0*r + 0*r**3 - 1/25*r**5 + 0*r**2 - 1/20*r**4 + 1. Find h, given that v(h) = 0.
-1, 0
Let k(u) be the first derivative of -u**6 + 21*u**5/5 - 6*u**4 + 2*u**3 + 3*u**2 - 3*u + 9. Let k(q) = 0. Calculate q.
-1/2, 1
Let x(q) be the first derivative of -2*q**3 + 6/5*q**5 - 1/2*q**4 - 2 + 0*q - 1/3*q**6 + 2*q**2. Solve x(s) = 0 for s.
-1, 0, 1, 2
Let m be (-1)/(-2) + (-58)/(-4). Factor 20*t**3 - 5 - 3 + 13*t - 4*t**4 + m*t - 36*t**2.
-4*(t - 2)*(t - 1)**3
Let o = 69 + -30. Let s be (4/(-6))/((-2)/o). Suppose -13*q - s*q - 14*q**2 + 8*q - 4 = 0. Calculate q.
-1, -2/7
Suppose 2*c - 2 - 8 = 0. Suppose 2*j - 1 = c. Find i such that -4 - j*i**3 + 4 + i**2 + 2*i**2 = 0.
0, 1
Factor 1/6*a**4 - 2/3*a**2 - 4/3*a + 0 + 1/3*a**3.
a*(a - 2)*(a + 2)**2/6
Let d(i) be the first derivative of -7*i**4/38 + 46*i**3/57 - 6*i**2/19 + 32. Factor d(v).
-2*v*(v - 3)*(7*v - 2)/19
Let a = 1474 - 1472. Factor -v - 1/4*v**a + 1 + 1/4*v**3.
(v - 2)*(v - 1)*(v + 2)/4
Let i(c) be the third derivative of -c**6/225 + 7*c**5/150 - c**4/10 - c**3/2 - 6*c**2. Let w(l) be the first derivative of i(l). Let w(h) = 0. Calculate h.
1/2, 3
Let -2/3 - 5/6*z - 1/6*z**2 = 0. What is z?
-4, -1
Let j(n) be the third derivative of n**8/784 - n**6/140 + n**4/56 + 7*n**2. Factor j(a).
3*a*(a - 1)**2*(a + 1)**2/7
Let i be 10*3/(-9)*3. Let u = 21/2 + i. Factor 1/4*c**2 + u*c + 0.
c*(c + 2)/4
Let m = -25 + 27. Factor 133*t**3 + 2*t**m + 0*t**2 - 135*t**3.
-2*t**2*(t - 1)
Let c(p) be the first derivative of -p**4/4 + p**3/3 + 5*p**2/2 + p - 4. Let n(u) = 4*u**3 - 2*u**2 - 16*u - 3. Let g(w) = -21*c(w) - 6*n(w). Factor g(j).
-3*(j + 1)**3
Suppose 0 - 1/4*b - 1/4*b**2 = 0. What is b?
-1, 0
Let f(s) = s**3 - s**2 + 1. Let x be f(2). Let v be 2 - -3*4/(-6). Factor 0*r + 0*r**3 + 0*r**2 - 2/9*r**x + 0 + v*r**4.
-2*r**5/9
Suppose 13*s = 8*s + 30. Let x(d) be the third derivative of 0*d**3 + 0 + 0*d - 1/210*d**5 + 0*d**4 + d**2 - 1/420*d**s. Factor x(o).
-2*o**2*(o + 1)/7
Let q(z) be the first derivative of -7*z**6/8 + 47*z**5/10 - 13*z**4/2 + 4*z**3 - z**2 + 4. Let s(n) be the second derivative of q(n). Factor s(j).
-3*(j - 2)*(5*j - 2)*(7*j - 2)
Let h(s) be the first derivative of -s**6/480 - s**5/60 - 5*s**4/96 - s**3/12 - 3*s**2/2 + 3. Let b(q) be the second derivative of h(q). What is i in b(i) = 0?
-2, -1
Factor 1/3*k - k**2 - 1/3*k**4 + 0 + k**3.
-k*(k - 1)**3/3
Let p be (-29)/24 - 2/6. Let o = -7/8 - p. Let 0*k**4 + 0 + 0*k**2 + o*k**5 - 2/3*k**3 + 0*k = 0. What is k?
-1, 0, 1
Let n(p) be the second derivative of -p**9/9072 + p**7/1260 - p**5/360 + 7*p**3/6 + p. Let r(z) be the second derivative of n(z). Factor r(b).
-b*(b - 1)**2*(b + 1)**2/3
Let z = 34/9 - 152/45. Let y = -322 - -324. Suppose 0 - 2/5*w**y + 4/5*w - z*w**3 = 0. Calculate w.
-2, 0, 1
Let m(p) = 2*p**2 + p - 2. Let h be m(2). Factor 10*k**4 + k**5 + k**5 - h*k**4.
2*k**4*(k + 1)
Suppose 3 = -25*w + 26*w. Let n(f) be the first derivative of -1 + w*f**2 + 1/2*f**4 + 2*f**3 + 2*f. Factor n(v).
2*(v + 1)**3
Let p(a) be the second derivative of -1/70*a**5 + 0*a**2 + 0*a**4 + 0 + 2*a + 0*a**3 - 1/105*a**6. Factor p(g).
-2*g**3*(g + 1)/7
Let t(i) be the first derivative of -1/6*i**3 - i**2 - 2 + i + 1/12*i**4. Let p(z) be the first derivative of t(z). Determine s so that p(s) = 0.
-1, 2
Let b(z) be the third derivative of -z**8/1848 + z**6/165 + z**5/165 - z**4/44 - 2*z**3/33 - 2*z**2. Find n, given that b(n) = 0.
-1, 1, 2
Let a(y) be the second derivative of y**9/1008 - y**7/140 + y**5/4