rivative of c(u). Factor n(z).
(z - 1)*(z + 3)**3/2
Factor 14*y**3 + 8 - 2*y**4 - 6*y**3 - 8 + 6*y**2 - 36*y.
-2*y*(y - 3)**2*(y + 2)
Let f(t) = -2*t**2 + 3*t - 1. Let g(h) = h**2 - 3*h. Let i = -6 + 4. Let v(c) = i*f(c) - 3*g(c). Factor v(m).
(m + 1)*(m + 2)
Let f(h) = 10*h**3. Let q(z) = 51*z**3 - z**2. Let o(a) = 22*f(a) - 4*q(a). Factor o(w).
4*w**2*(4*w + 1)
Let m be (8/(-2))/(60/(-10)). Let -2/3*n + m*n**2 + 0 = 0. What is n?
0, 1
Let k = -881293/75 - -11751. Let y = k - 2/75. Suppose 0*r - y*r**2 + 2/5 = 0. What is r?
-1, 1
Let y be (5 + (-51)/12)/(2/8). Let l(w) be the third derivative of 0 - 2*w**2 - 1/270*w**5 - 1/27*w**4 - 4/27*w**y + 0*w. Factor l(t).
-2*(t + 2)**2/9
Let y(q) = -q**3 + 10*q**2 + 12*q - 8. Let w be y(11). Factor -2*z**3 + z + 0*z**w + z.
-2*z*(z - 1)*(z + 1)
Let w = -7084 + 50377/7. Let z = 113 - w. What is g in 4/7*g - z - 2/7*g**2 = 0?
1
Let p(j) be the first derivative of j**3/3 + 3*j**2/2 + 2*j + 4. Factor p(x).
(x + 1)*(x + 2)
Let y(b) = -b**5 + b**4 - b**3 + 1. Let j(f) = 20*f**5 - 36*f**4 - 8*f**3 - 10*f**2 + 32*f + 2. Let i(z) = -2*j(z) - 44*y(z). Determine q, given that i(q) = 0.
-3, -2, -1, 1
Suppose 0 = -p - 0*p. Let i(o) be the second derivative of 0*o**3 - o - 1/80*o**5 + 0*o**2 - 1/48*o**4 + p. Determine m, given that i(m) = 0.
-1, 0
Let b(l) be the third derivative of -169*l**7/4200 - 13*l**6/300 - l**5/50 + l**4/3 + 5*l**2. Let m(o) be the second derivative of b(o). What is a in m(a) = 0?
-2/13
What is c in 0 - 4/13*c**3 - 2/13*c**4 + 0*c + 0*c**2 = 0?
-2, 0
Let n(q) be the third derivative of -q**7/1890 - q**6/540 + q**5/108 + q**4/36 + 8*q**2. Suppose n(y) = 0. Calculate y.
-3, -1, 0, 2
Let t = 249/7 + -323/14. Find p, given that -19*p**2 - 4*p**4 - 1/2*p**5 - 14*p - 4 - t*p**3 = 0.
-2, -1
Let c(s) be the second derivative of 9*s**7/14 + 27*s**6/10 + 33*s**5/20 - 23*s**4/4 - 10*s**3 - 6*s**2 + 15*s. Find r such that c(r) = 0.
-2, -1, -2/3, -1/3, 1
Let y(v) = v**3 + 7*v**2 + 4*v - 8. Let d be y(-6). Factor 2 - 3*b**4 + 4*b**3 + 0*b**3 - d*b + b**4.
-2*(b - 1)**3*(b + 1)
Suppose b = -2*b + 3, -2*b = -4*c + 14. What is y in 0*y + 1/6*y**c + 0 + 1/3*y**3 + 1/6*y**2 = 0?
-1, 0
Let v = -65 + 65. Let u(g) be the third derivative of 0*g + v*g**3 + 1/420*g**6 + g**2 + 0 + 0*g**4 - 1/210*g**5. Factor u(b).
2*b**2*(b - 1)/7
Suppose -5*o + 4 = -3*o. Let s be 36/(-27)*(-3)/o. Solve 4 + 9*r**2 - 7*r**2 - 6*r + 0*r**s = 0 for r.
1, 2
Solve -3/2 - 6*s**2 + 15/2*s = 0 for s.
1/4, 1
Let a(b) = -57*b**3 + b**2 + 56*b**3 - b + 2*b - 4. Let q(c) = 2*c**3 - 2*c**2 - 2*c + 12. Let w(l) = -10*a(l) - 3*q(l). Factor w(i).
4*(i - 1)**2*(i + 1)
Let h be (-12)/64*((-3)/1 + -1). Solve 0*k + 3/4*k**2 + h*k**3 + 0 = 0.
-1, 0
Let o(t) be the second derivative of -7*t**8/320 + 3*t**7/40 - t**6/16 + t**5/40 - 5*t**4/12 + 5*t. Let v(u) be the third derivative of o(u). Factor v(j).
-3*(j - 1)*(7*j - 1)**2
Let l(x) be the third derivative of -1/150*x**5 + 0 + 0*x + 1/30*x**4 - 1/75*x**6 + 1/175*x**7 + 2*x**2 + 0*x**3. Solve l(i) = 0 for i.
-2/3, 0, 1
Let r(u) be the first derivative of -u**4/9 - 4*u**3/9 - 15. What is x in r(x) = 0?
-3, 0
Let m(h) = 8*h**2 - 12. Let x(k) = 23*k**2 + k - 35. Let f(b) = -11*m(b) + 4*x(b). Factor f(i).
4*(i - 1)*(i + 2)
Factor -2*n**2 + 0*n**3 - 5*n**3 + n**3 + 6*n**3.
2*n**2*(n - 1)
Let g(r) be the first derivative of r**4/20 + 4*r**3/15 + 3*r**2/10 - 8. Suppose g(w) = 0. What is w?
-3, -1, 0
Let g(d) = 6*d**2 + 18*d + 9. Let m(k) = 7*k**2 + 17*k + 8. Let i(o) = 2*g(o) - 3*m(o). Factor i(a).
-3*(a + 1)*(3*a + 2)
Let x = 10 + -7. Factor 0*m**2 - x - 5*m - 7*m - 8*m**2 - m**2.
-3*(m + 1)*(3*m + 1)
Let o(k) be the second derivative of -k**6/135 - k**5/30 + k**4/54 + k**3/9 + 19*k. Let o(m) = 0. Calculate m.
-3, -1, 0, 1
Let p(w) = -7*w**5 - 7*w**4 + 2*w**3 - 3*w**2 - 5*w. Let k(v) = 4*v**5 + 4*v**4 - v**3 + 2*v**2 + 3*v. Let d(f) = -10*k(f) - 6*p(f). Let d(i) = 0. What is i?
-1, 0, 1
Let d(v) be the third derivative of -v**8/1512 + 2*v**7/945 - v**6/540 - 4*v**2. Find j such that d(j) = 0.
0, 1
Let i(r) = -4*r - 9. Let z be i(-6). Suppose 12 = -b - 5*q + q, -5*q - z = -5*b. Factor 0 - 1/4*y**2 + b*y.
-y**2/4
Let v(d) be the first derivative of d**4 - 4*d**3/3 - 2*d**2 + 4*d + 14. Find t such that v(t) = 0.
-1, 1
Let t = 82 - 80. Factor 2/5*h**t + 0 + 2/5*h.
2*h*(h + 1)/5
Let s = -364/15 - -73/3. Let f(o) be the second derivative of o + s*o**3 + 1/60*o**4 + 0*o**2 + 0. Factor f(q).
q*(q + 2)/5
Let j(i) be the third derivative of -i**7/42 - i**6/24 + i**5 + 35*i**4/6 + 40*i**3/3 - 40*i**2 + 2. Factor j(w).
-5*(w - 4)*(w + 1)*(w + 2)**2
Let f(o) = -3*o**2 - 6*o + 5. Let g(h) = h**3 - 8*h**2 + 7*h - 4. Let m be g(7). Let b(i) = 4*i**2 + 7*i - 6. Let v(p) = m*b(p) - 5*f(p). Factor v(c).
-(c - 1)**2
Let j = -1 + 4. Suppose -23*l**2 + 5*l + 9*l + 5*l**3 - l + 7*l**j - 2 = 0. Calculate l.
1/4, 2/3, 1
Suppose -2*z + 5*w = -z, 2*z - w + 18 = 0. Let o = z + 12. Factor -o*i**2 + 3*i - 3*i + 0*i**2 + 4 + 2*i.
-2*(i - 2)*(i + 1)
Let o(m) = -m**3 - 5*m**2 - m. Let w(d) = 3*d**3 + 14*d**2 + 3*d. Let b(q) = -8*o(q) - 3*w(q). Solve b(s) = 0.
-1, 0
Find r, given that -6*r**4 - 2*r**3 + 2 - 30*r**5 + 26*r**5 - 2 = 0.
-1, -1/2, 0
Suppose 5*x + 5*z = 10, 3*x + z - 3*z - 6 = 0. Let -4*n**5 - 6*n**3 + x*n**2 + 2*n**4 + 5*n**5 + 4*n**4 - 3*n**5 = 0. What is n?
0, 1
Let l(s) = s**4 + s**3 + s**2 + 1. Let o(v) = v**4 - 3*v**5 - 4*v**4 + 6*v**3 - 3*v + 3*v - 3 - 9*v**2. Let u(f) = 3*l(f) + o(f). Factor u(t).
-3*t**2*(t - 1)**2*(t + 2)
Let s(t) be the third derivative of 0*t**3 + 0*t**4 + 4/105*t**7 + 0*t - 1/20*t**6 + 0 - 1/30*t**5 + 6*t**2. Find w, given that s(w) = 0.
-1/4, 0, 1
Let q(c) be the second derivative of c**7/2240 - c**6/480 - c**5/320 + c**4/32 + 7*c**3/6 + 6*c. Let m(p) be the second derivative of q(p). Solve m(l) = 0.
-1, 1, 2
Let v(g) be the first derivative of -1/10*g**4 + 0*g + 0*g**3 - 6 + 0*g**5 + 1/10*g**2 + 1/30*g**6. Determine o, given that v(o) = 0.
-1, 0, 1
Suppose 3*l + 4*j - 1 = 6*l, 3 = 3*j. Let q(d) be the first derivative of 0*d + 0*d**3 + 0*d**2 + 0*d**4 - 1/3*d**6 + l + 2/5*d**5. Factor q(r).
-2*r**4*(r - 1)
Let o(p) be the third derivative of p**8/1344 - p**7/420 - p**6/160 + p**5/30 - p**4/24 - 16*p**2. Find i, given that o(i) = 0.
-2, 0, 1, 2
Let n(s) be the third derivative of -s**6/60 + 2*s**5/5 - 7*s**4/4 + 10*s**3/3 - 25*s**2. Factor n(q).
-2*(q - 10)*(q - 1)**2
Let g(p) = -2*p**3 - 17*p**2 - 10*p - 14. Let x be g(-8). Determine a so that 1/5*a**3 - 8/5 + 12/5*a - 6/5*a**x = 0.
2
Suppose -4*z - 2*j = -10, z + 5*j - 5 = 20. Let l(o) be the third derivative of -3*o**2 + 1/18*o**3 + 0 - 1/18*o**4 + z*o + 1/60*o**5. Factor l(f).
(f - 1)*(3*f - 1)/3
Suppose 0*a**3 + 3*a**3 - 17*a**2 + 14*a**2 + 3*a**4 - 3*a**5 = 0. What is a?
-1, 0, 1
Let m(n) = -2*n - 1. Let v(f) = 2*f + 1. Let g(a) = 3*m(a) + 2*v(a). Let p be g(-3). Factor z**2 - 3*z**4 + p*z**4 - 3*z**2.
2*z**2*(z - 1)*(z + 1)
Factor -2*j**2 + 4 - 2*j - 8*j + 17*j - 5*j.
-2*(j - 2)*(j + 1)
Suppose 4*k - 22 = 18. Let v be 30/(-8)*k/(-25). Factor 3/2*z**2 + 0*z + 0 - v*z**3.
-3*z**2*(z - 1)/2
Suppose i**3 + 3 + i**3 + 1 + 8*i**2 - 20*i + 30*i = 0. What is i?
-2, -1
Let b(x) be the first derivative of x**3/3 - 5*x**2/2 - 6*x + 49. Factor b(u).
(u - 6)*(u + 1)
Let v(i) be the third derivative of -i**8/5040 + i**6/540 - i**4/72 - i**3/6 + i**2. Let c(d) be the first derivative of v(d). Factor c(y).
-(y - 1)**2*(y + 1)**2/3
Let q(l) be the second derivative of -l**8/5040 - l**7/2520 + l**6/1080 + l**5/360 - l**3/6 + 2*l. Let x(a) be the second derivative of q(a). Factor x(c).
-c*(c - 1)*(c + 1)**2/3
Factor 3/2*r + 0 + r**2 - 1/2*r**3.
-r*(r - 3)*(r + 1)/2
Let v(k) be the third derivative of 2*k**6/5 + 2*k**5 + 17*k**4/8 + k**3 + 4*k**2. Factor v(r).
3*(r + 2)*(4*r + 1)**2
Let x(b) be the third derivative of b**5/300 - 11*b**2. Let x(l) = 0. Calculate l.
0
Let f(x) = -x - 4. Let q be f(-6). Factor 3*t - 2*t - t**2 + 4*t**2 - q*t**2.
t*(t + 1)
Let 2 - 16*s - 15*s**4 + 2*s**5 + 5*s**4 + 0*s**2 + 2*s**2 + 14*s**3 + 6 = 0. What is s?
-1, 1, 2
Let a(x) be the second derivative of -x**4/32 - 15*x. Factor a(l).
-3*l**2/8
Let b(u) be the second derivative of -u**7/14 + 3*u**5/5 + u**4/2 - 3*u**3/2 - 3*u**2 + 3*u. Let b(g) = 0. What is g?
-1, 1, 2
Let i = 24