16*h**4 + 0*h - 1/4*h**3 - 1/8*h**2 + m - 1/20*h**5. Factor q(w).
-w*(w + 1)**3/4
Let c(s) be the third derivative of -s**8/252 - 13*s**7/630 - 11*s**6/360 - s**5/90 - 16*s**2. Determine p, given that c(p) = 0.
-2, -1, -1/4, 0
Let x(a) be the first derivative of -2*a**3/3 - 2*a**2 - 7. Factor x(b).
-2*b*(b + 2)
Let j = -713/4 - -179. Factor j*s**2 + 3/4*s + 1/4 + 1/4*s**3.
(s + 1)**3/4
Let u(l) be the first derivative of -l**4/14 - 2*l**3/7 + l**2/7 + 6*l/7 + 8. Factor u(k).
-2*(k - 1)*(k + 1)*(k + 3)/7
Let w(k) = -10*k**2 + 15*k. Let n(x) = 5*x**2 - 8*x. Let c(g) = 5*n(g) + 2*w(g). Let c(h) = 0. Calculate h.
0, 2
Let d(k) be the first derivative of k**4/54 + k**3/27 + k + 3. Let z(m) be the first derivative of d(m). Let z(a) = 0. Calculate a.
-1, 0
What is f in 0 + 12/5*f - 4/5*f**2 = 0?
0, 3
Let y(a) be the second derivative of 2*a**4/45 - a**3/45 - a**2/5 + a. Factor y(r).
2*(r - 1)*(4*r + 3)/15
Let s(r) = -r**3 - r**2 + r + 5. Let u be s(0). Suppose 8*h - 15 = u*h. Find g such that -g - g**2 - g**2 + 2*g**4 + 0*g**5 + g**h + 0*g**4 = 0.
-1, 0, 1
Let r be 1 + 0 - (-9)/(-15). Let g(k) = -k + 5. Let o be g(3). Solve 4/5 - r*h**o - 2/5*h = 0 for h.
-2, 1
Let h = 4/119 - -218/595. Find b, given that 0 - h*b**2 + 4/5*b = 0.
0, 2
Let l = 20 + -18. Let p(y) be the first derivative of -2/3*y**3 - 1/2*y**l + 2 + 0*y - 1/4*y**4. Factor p(x).
-x*(x + 1)**2
Let m(k) be the first derivative of -1/3*k**3 - k - k**2 + 3. Factor m(h).
-(h + 1)**2
Let c(d) = 2*d**2 - 2*d**2 - d**2 - 9*d + 12. Let a be c(-10). Find z such that -2/3*z**a - 4/3 + 2*z = 0.
1, 2
Let j(w) be the first derivative of -3*w**4/4 + 14*w**3/3 - 17*w**2/2 + 6*w + 16. Factor j(c).
-(c - 3)*(c - 1)*(3*c - 2)
Let u = -7 - -66. Factor -114*b**2 - 102*b**2 + u*b**4 - 33 + 22*b**4 - 192*b - 15.
3*(b - 2)*(3*b + 2)**3
Let s(f) be the second derivative of 0 + 0*f**3 - 9/20*f**5 + 0*f**2 - 3*f + 1/6*f**4. Factor s(p).
-p**2*(9*p - 2)
Let z(y) be the third derivative of -1/180*y**6 - 1/9*y**3 + y**2 + 0*y + 1/90*y**5 + 1/36*y**4 + 0. Factor z(o).
-2*(o - 1)**2*(o + 1)/3
Factor -3/4*p**3 + 5/8*p**4 + 0 + p - 1/2*p**2 - 1/8*p**5.
-p*(p - 2)**3*(p + 1)/8
Let 8*i**2 - 4*i**4 + 0*i**4 + 10*i**5 - 10*i**3 - 5*i**2 + i**2 = 0. Calculate i.
-1, 0, 2/5, 1
Let x(b) be the third derivative of b**7/105 - b**6/30 + b**5/30 - 4*b**2. Find a such that x(a) = 0.
0, 1
Let p(h) be the third derivative of h**7/10 + h**6/8 - h**5/10 - 5*h**2. Determine x so that p(x) = 0.
-1, 0, 2/7
Suppose p = -5*p - 222. Let i = p + 39. Suppose -1/3 - 1/3*h**i - 2/3*h = 0. What is h?
-1
Let z(r) be the third derivative of -1/12*r**4 - 2/3*r**3 + 1/30*r**5 + 0*r + 0 - 2*r**2. Let z(g) = 0. What is g?
-1, 2
Let d(s) be the third derivative of s**5/100 + 3*s**4/40 + s**3/5 - 25*s**2. Factor d(b).
3*(b + 1)*(b + 2)/5
Let w(a) = a**2 - 9*a - 7. Let v be w(10). Suppose 0 = -v*i + 2 + 4. Let 2/3*b**5 + 0 - 2/3*b**3 + 0*b**4 + 0*b + 0*b**i = 0. Calculate b.
-1, 0, 1
Let n(c) be the third derivative of c**7/140 + c**6/40 + 8*c**2. Suppose n(k) = 0. Calculate k.
-2, 0
Let j be 134/42 + (-7)/(-49). Factor -i**3 - 3*i - 2/3 - j*i**2.
-(i + 1)*(i + 2)*(3*i + 1)/3
Suppose 3*a = -5*a + 24. Let c(f) be the first derivative of 1/4*f**2 + 1 + 1/8*f**4 - 1/3*f**a + 0*f. Let c(n) = 0. Calculate n.
0, 1
Suppose -5 = 4*i + 51. Let v(z) = -z**3 - 1. Let q(f) be the first derivative of 3*f**4/2 + 7*f + 4. Let w(b) = i*v(b) - 2*q(b). Factor w(o).
2*o**3
Let r(k) = -10*k - 8 + 12*k**2 - k**3 + 6 - 7. Let c be r(11). Find y such that -y**4 + 3*y**3 + 3*y**c + 2*y - 3*y**3 = 0.
-1, 0, 2
Let a(l) be the third derivative of l**7/1680 + l**6/480 - l**5/160 - l**4/24 - l**3/12 + 25*l**2. Suppose a(c) = 0. Calculate c.
-2, -1, 2
Let x = 0 + 5. Suppose -l - x*m = -22 - 0, -2*l + 5*m = 16. Suppose -18*w**3 + 2 - 18*w**2 + w + l*w - w = 0. What is w?
-1, -1/3, 1/3
Let z be (-74)/8 + 13/52. Let s(m) = -m - 6. Let v be s(z). Let 14/9*r - 28/9*r**4 + 26/9*r**2 + 2/9 + 2/9*r**v - 16/9*r**5 = 0. Calculate r.
-1, -1/2, -1/4, 1
Let d(a) = a**2 + 5*a - 4. Let k be d(-5). Let v be k/6 - 22/(-6). Suppose -4*c**3 + 2*c**4 + 2*c - c**v + 3*c**3 - 2*c**2 = 0. What is c?
-1, 0, 1
Let y(q) = -q**3 + 9*q**2 - 8*q. Let c be y(8). Suppose -3*h**4 + h - 6*h**3 + 3 + 5*h + c*h = 0. Calculate h.
-1, 1
Let c(q) be the second derivative of 0*q**3 + 3/20*q**5 + 3/14*q**7 + 0 - q + 0*q**2 + 2/5*q**6 + 0*q**4. Factor c(h).
3*h**3*(h + 1)*(3*h + 1)
Let k = -1/556 - -3341/2780. Find a such that -2/5*a**5 - 4/5*a**3 + k*a - 4/5*a**2 + 6/5*a**4 - 2/5 = 0.
-1, 1
Let f(r) = 4*r**3 + 3*r**2 + 9*r - 25. Let k(q) = -q**3 - q**2 - 2*q + 6. Let h(m) = 2*f(m) + 9*k(m). Solve h(x) = 0.
-2, 1
Let m be 4/((-4)/(-3)) + -1. Suppose 3 = -n + 6. Factor 0*z**4 + z**4 - m*z - z**3 - z**2 + n*z.
z*(z - 1)**2*(z + 1)
Suppose -23 = -4*d - 7. Suppose 4*x - 4 - d = 0. Factor 0*h**x - 2*h**2 + h + h**3 + 4*h**2.
h*(h + 1)**2
Suppose -1 + 0*z - 6*z + 4 + z**2 + 2*z**2 = 0. What is z?
1
Let r = 5 + 3. Let t be r/(-6) - (-1 + -1). Determine g, given that 0*g + 0 + t*g**3 + 2/3*g**2 = 0.
-1, 0
Let p be (3 - (0 + 4)) + 1. Let j(l) be the third derivative of 0*l + p + l**2 - 1/12*l**4 - 1/60*l**5 - 1/6*l**3. Factor j(v).
-(v + 1)**2
Factor 3*x**3 + 9*x**2 + 9*x + 1/3*x**4 + 0.
x*(x + 3)**3/3
Let w(r) be the first derivative of 3*r**3 - 7*r**2/2 - 9*r - 1. Let t(m) = -4 + 4 - 3 + 7 - 4*m**2 + 3*m. Let k(f) = -7*t(f) - 3*w(f). Let k(q) = 0. What is q?
-1, 1
Let f(i) = 8*i**5 + 6*i**4 - i**3 + i**2 - 7. Let n(j) = -j**5 - j**4 + 1. Let t(h) = -3*f(h) - 21*n(h). Solve t(u) = 0.
-1, 0, 1
Factor -16/11 + 40/11*j - 2/11*j**4 + 14/11*j**3 - 36/11*j**2.
-2*(j - 2)**3*(j - 1)/11
Factor -2*r**4 + 18*r**2 - 2*r**3 + 7*r**4 - 3*r**4 - 22*r**2.
2*r**2*(r - 2)*(r + 1)
Let i(l) = -3*l**2 - 49*l + 189. Let f(s) = 2*s**2 + 50*s - 190. Let o(y) = 7*f(y) + 6*i(y). Factor o(p).
-4*(p - 7)**2
Let z(y) be the second derivative of y**7/42 - y**6/5 + 7*y**5/10 - 4*y**4/3 + 3*y**3/2 - y**2 + 26*y. Determine c, given that z(c) = 0.
1, 2
Let c(k) = 4*k**3 - 2*k**2 - k - 1. Let f(n) = -n**3 - n**2 + n + 1. Let a(w) = -c(w) - f(w). What is y in a(y) = 0?
0, 1
Let y(z) be the first derivative of z**6/90 + z**5/30 - z**4/12 - 2*z**3/9 + 2*z**2/3 - 2*z + 1. Let m(j) be the first derivative of y(j). Factor m(v).
(v - 1)**2*(v + 2)**2/3
Let x(d) be the second derivative of -1/8*d**4 + d**2 + 1/60*d**5 - d + 1/3*d**3 + 0. Let j(f) be the first derivative of x(f). Suppose j(r) = 0. What is r?
1, 2
Let u = 31/232 + 7/29. Let o(w) be the first derivative of -1/16*w**4 - 2 + 1/4*w + 1/4*w**3 - u*w**2. Factor o(k).
-(k - 1)**3/4
Let a(u) be the second derivative of -u**5/40 - u**4/6 - u**3/4 + u. Let a(k) = 0. Calculate k.
-3, -1, 0
Let a(t) be the second derivative of 1/105*t**6 + 0*t**3 + 0*t**2 - 4*t + 0 + 0*t**5 + 0*t**4. Solve a(j) = 0 for j.
0
Let a(u) = -u + 1. Let v be 9/(-12) - 5/20. Let h(q) = -q**2 - 5*q + 6. Suppose -1 = -4*y + 15. Let g(m) = v*h(m) + y*a(m). Factor g(o).
(o - 1)*(o + 2)
Let c be 2/(6/3) + 10. Suppose c*d**2 + 3*d**2 - 3*d - 7*d - 4 = 0. What is d?
-2/7, 1
Factor 11*x + 4 - 7 - 14*x - 108*x**2 - 33*x.
-3*(6*x + 1)**2
Let w be (-7)/(21/(-12)) - 4. Let b(o) be the third derivative of 0 - 1/24*o**4 - 1/60*o**5 + 0*o - o**2 + w*o**3. Determine f so that b(f) = 0.
-1, 0
Suppose -2*o + 8 = -0*o. Let t(k) be the third derivative of 0 + 1/105*k**7 + 1/30*k**6 - 2*k**2 + 0*k + 0*k**3 + 1/30*k**5 + 0*k**o. Factor t(z).
2*z**2*(z + 1)**2
Let r be (-100)/(-26) - (-2)/13. Solve 2*i**3 + 2 - r*i + 2*i**4 - 4*i**2 + 3*i + 5*i**5 - 6*i**5 = 0.
-1, 1, 2
Let a(t) be the first derivative of t**6 - 14*t**5/5 + 5*t**4/2 - 2*t**3/3 - 3. Suppose a(r) = 0. Calculate r.
0, 1/3, 1
Let c(b) be the second derivative of b**10/211680 - b**8/23520 + b**6/5040 + 5*b**4/12 + b. Let r(k) be the third derivative of c(k). Factor r(w).
w*(w - 1)**2*(w + 1)**2/7
Let y(k) = -4*k**3 + 4*k**2 + 3*k - 3. Let a(p) = 4*p**3 - 4*p**2 - 2*p + 2. Let j(m) = 3*a(m) + 2*y(m). Factor j(c).
4*c**2*(c - 1)
Let a be (12/(-16))/((-27)/(-1680)). Let l = -46 - a. Factor 4/9*q - 2/9 + l*q**2.
2*(q + 1)*(3*q - 1)/9
Suppose 0 = i - 4*n + 6, -15 - 1 = -3*i - 5*n. Let a(m) be the second derivative of -1/20*m**5 - 5/6*m**3 + 1/3*m**4 + m**i - 2*m + 0. What is r in a(r) = 0?
1, 2
Factor -j**2