ivative of u(l). Find r such that h(r) = 0.
-2, -1
Let z(i) = 4*i**4 + 8*i**3 - 18*i**2 + 8*i - 8. Let h(b) = b**2 + 2. Let m be h(2). Let u(d) = -d**4 + d**2 + 1. Let j(c) = m*u(c) + z(c). Factor j(f).
-2*(f - 1)**4
Let 3*u - 3/4*u**2 + 15/4 = 0. What is u?
-1, 5
Solve 2/7*j**2 - 2/7*j**4 + 0 + 1/7*j**5 - 1/7*j + 0*j**3 = 0 for j.
-1, 0, 1
Let z = -20 + 14. Let a be (z/(-8))/(9/6). Suppose 7/4*i**2 + 0 - a*i + i**3 = 0. What is i?
-2, 0, 1/4
Let z(n) be the first derivative of -3*n**4/4 - 3*n**3 - 4. Let z(m) = 0. Calculate m.
-3, 0
Let g(m) be the first derivative of 2*m**5/55 - 3*m**4/22 + 4*m**3/33 - 35. Factor g(c).
2*c**2*(c - 2)*(c - 1)/11
Factor 6 + 5*h**2 + 23/2*h - 1/2*h**3.
-(h - 12)*(h + 1)**2/2
Suppose 5*k - 14 + 42 = 2*m, 5*m = -3*k + 39. Determine p, given that 6*p**3 + 27*p**3 - m*p**4 + 13*p - 36*p**2 - p = 0.
0, 2/3, 1, 2
Let k(a) be the third derivative of 0*a + 1/336*a**8 + a**2 + 0 + 19/240*a**5 + 2/105*a**7 + 7/96*a**4 + 5/96*a**6 + 1/24*a**3. Factor k(f).
(f + 1)**3*(2*f + 1)**2/4
Let a be (-1 - -1)*(7 - 6). Suppose 7*y - 3*y - 8 = a. Factor -4*n - 2*n**4 + 5*n + 9*n**3 + 6*n**y + 6*n**4.
n*(n + 1)**2*(4*n + 1)
Let u(a) = 2*a - 7. Let m be u(5). Suppose -m*o = -7 - 2. Factor 4/5*k**o + 2/5*k**4 - 2/5 - 4/5*k + 0*k**2.
2*(k - 1)*(k + 1)**3/5
Let i(d) be the first derivative of -1/5*d**4 - 5 + 2/15*d**3 + 0*d**2 + 2/25*d**5 + 0*d. Factor i(m).
2*m**2*(m - 1)**2/5
Let c(w) be the first derivative of w**7/840 - w**6/720 - w**5/120 + w**4/48 - w**3/3 - 1. Let l(d) be the third derivative of c(d). Solve l(i) = 0 for i.
-1, 1/2, 1
Let a(z) = -12*z**2 - 18*z. Let j(q) = 19*q**2 + 27*q. Let n(r) = -8*a(r) - 5*j(r). Factor n(p).
p*(p + 9)
Let o(r) = 4*r**3 + 3. Let u(b) = -b + 3. Let i be u(10). Let s be 5 + -1 + 1 + -2. Let m(k) = 9*k**3 + 7. Let j(f) = i*o(f) + s*m(f). Factor j(d).
-d**3
Let g(t) be the first derivative of t**2 - 1/30*t**5 - 1 - 1/12*t**4 + 0*t**3 + 0*t. Let j(p) be the second derivative of g(p). Suppose j(v) = 0. What is v?
-1, 0
Let o(r) be the second derivative of -r**8/168 - r**7/105 - r**2/2 - 4*r. Let u(s) be the first derivative of o(s). Factor u(n).
-2*n**4*(n + 1)
Let r(j) = -j**3 + 6*j**2 - j - 4. Let m be r(3). Let i be (-13)/(-20) + m/(-50). Factor i*f**3 - 1/2*f**2 + 0 + 0*f.
f**2*(f - 2)/4
Let b(w) = 6*w - 18 + 4*w + 2*w**2 + 5 - 3*w**2. Let q(j) = 3*j**2 - 39*j + 51. Let p(u) = -15*b(u) - 4*q(u). Find m such that p(m) = 0.
-3, 1
Let c(z) be the first derivative of -2 + z**3 + 1/6*z**4 - 3*z + 2*z**2. Let p(x) be the first derivative of c(x). Factor p(o).
2*(o + 1)*(o + 2)
Determine c, given that 0 + 3/8*c**3 + 1/8*c**5 + 0*c**2 + 0*c + 1/2*c**4 = 0.
-3, -1, 0
Let k(u) = -10*u**3 + 20*u**2 + 10*u - 14. Let f(s) = s**2 - s - 1. Let i(p) = -12*f(p) + 2*k(p). Factor i(t).
-4*(t - 2)*(t + 1)*(5*t - 2)
Let l = 377 + -375. Let -1/2*d**l + 4*d - 8 = 0. What is d?
4
Let d(y) be the first derivative of -5*y**4/4 - 9*y**3/2 + 3*y**2 - 3*y + 5. Let n(r) be the first derivative of d(r). What is k in n(k) = 0?
-2, 1/5
Let u(g) = -g**3. Let k(z) = 8*z**3 + 7*z**2 + 3*z. Let i(f) = 3*k(f) + 12*u(f). Factor i(v).
3*v*(v + 1)*(4*v + 3)
Let z(k) be the first derivative of 25*k**3/3 - 20*k**2 - 20*k + 13. Factor z(b).
5*(b - 2)*(5*b + 2)
Factor 2/9*n**4 + 2/9*n**2 - 4/9 - 2/3*n + 2/3*n**3.
2*(n - 1)*(n + 1)**2*(n + 2)/9
Let g(h) = h**3 + 14*h**2 - 6*h - 84. Let w be g(-14). Factor -10/3*j**2 - 14/3*j**3 + w + 4/3*j.
-2*j*(j + 1)*(7*j - 2)/3
Let t(g) = 2*g - g - 2*g - 5 + 6*g - 5*g**2. Let u(q) = 14*q**2 - 16*q + 16. Let w(z) = 8*t(z) + 3*u(z). Solve w(m) = 0.
2
Let p = -530 + 2652/5. Factor 2/5*k**4 + 0 - p*k + 2/5*k**3 - 2/5*k**2.
2*k*(k - 1)*(k + 1)**2/5
Suppose -8/7*a**5 + 4/7*a - 32/7*a**3 - 30/7*a**4 - 6/7*a**2 + 0 = 0. What is a?
-2, -1, 0, 1/4
Factor -2*z**3 + 4*z**4 - 4*z - 3*z**2 - 3*z**3 + 5*z + 4*z**5 - z**4.
z*(z - 1)*(z + 1)**2*(4*z - 1)
Let s = -67 + 67. Let d(f) be the third derivative of 1/120*f**5 + 1/12*f**3 + s + 0*f - 4*f**2 - 1/24*f**4. Factor d(z).
(z - 1)**2/2
Suppose 5*k + 5 = -8*x + 3*x, 27 = 5*k - 3*x. Let v(h) be the third derivative of 0 + 1/27*h**k + 1/54*h**4 - h**2 + 1/270*h**5 + 0*h. Factor v(j).
2*(j + 1)**2/9
Let t = 213/4 - 53. Let d(p) = 19*p**2 - 151*p - 8. Let l be d(8). Determine q so that -1/4*q**3 + l - t*q**2 + 1/2*q = 0.
-2, 0, 1
Factor 24/5*v + 72/5 + 2/5*v**2.
2*(v + 6)**2/5
Let s(m) = -m**3 + 7*m**2 + 7*m + 10. Let b(y) = -y**2 + 7*y - 2. Let c be b(5). Let r be s(c). Factor -2/5*v**r - 2/5 - 4/5*v.
-2*(v + 1)**2/5
Let o(l) = -l**3 - 13*l**2 + 15*l + 16. Let g be o(-14). Suppose -2 + 29*q**3 - 67*q**g - 4*q**4 + 39*q + 12*q - 7 = 0. Calculate q.
1/4, 1, 3
Let k be 2/1 - (-16)/(-20). Determine y, given that -2/5*y**4 + 0 - 4/5*y + k*y**2 + 0*y**3 = 0.
-2, 0, 1
Determine n, given that -1/5*n**2 + 1/5 - 1/5*n + 1/5*n**3 = 0.
-1, 1
Let g(c) be the first derivative of 2*c**3/9 - c**2/3 - 17. Factor g(x).
2*x*(x - 1)/3
Factor 22/5*c**2 - 14*c + 10 - 2/5*c**3.
-2*(c - 5)**2*(c - 1)/5
Let b = -7873/150 + 105/2. Let u(p) be the second derivative of -b*p**6 + 0 - 2*p + 0*p**3 + 0*p**2 + 1/50*p**5 + 0*p**4. Factor u(l).
-2*l**3*(l - 1)/5
Let g(a) be the first derivative of -a**4/2 + a**3/3 + a**2 - a + 5. Determine m, given that g(m) = 0.
-1, 1/2, 1
Let i(h) = 5*h**2 - 3 + 0*h**2 - 6*h**2. Let k(g) = 2*g**2 + g + 7. Let j(w) = -5*i(w) - 2*k(w). Determine u so that j(u) = 0.
1
Suppose -4*l + 11 = -9. Suppose -4*h + 2 = -2*s, -2*s + l = 3*h - 14. Find v, given that -v**4 + 0*v**3 - 13*v**2 + 7*v**2 + 4*v + 4*v**h - 1 = 0.
1
Let b(r) = -2*r**3 + 3*r**2 - 1. Let q be b(-2). Factor 8*w + 16 + 28*w**2 + 0 - q*w**2.
(w + 4)**2
Let g(y) be the third derivative of -1/132*y**4 - 2/33*y**3 + 0*y + 1/330*y**5 + 0 - 2*y**2. Find h, given that g(h) = 0.
-1, 2
Factor -2/7*u**2 + 3/7*u**3 + 0*u + 12/7*u**4 + 0 + u**5.
u**2*(u + 1)**2*(7*u - 2)/7
Let t(s) be the second derivative of s**4/16 + s**3/8 + 9*s. Let t(z) = 0. What is z?
-1, 0
Let k(a) = 7*a**2 + a + 7. Let m(d) be the first derivative of 4*d**3/3 + d**2/2 + 4*d - 1. Let g(h) = 3*k(h) - 5*m(h). Factor g(n).
(n - 1)**2
Suppose -11 + 31 = 5*p. Factor -3*u**4 - 3*u**2 + 4*u**4 + 0*u**2 - p*u + 6*u.
u*(u - 1)**2*(u + 2)
Let j(k) be the first derivative of 2/3*k**3 + 2*k + 0*k**2 + 2/5*k**5 + 3 - 1/15*k**6 - 5/6*k**4. Let q(s) be the first derivative of j(s). Factor q(b).
-2*b*(b - 2)*(b - 1)**2
Let v(l) be the third derivative of l**7/630 - l**6/120 + l**5/180 + l**4/24 - l**3/9 + 16*l**2. Solve v(r) = 0.
-1, 1, 2
Let q(l) be the second derivative of -1/20*l**5 + 1/2*l**2 + 3*l + 1/6*l**3 - 1/12*l**4 + 0. Factor q(d).
-(d - 1)*(d + 1)**2
Factor 4*r**2 - 3 + 0*r**2 - r**2.
3*(r - 1)*(r + 1)
Let c(p) be the first derivative of p**4/6 + 2*p**3/9 + 5. Factor c(b).
2*b**2*(b + 1)/3
Let s = 13 + -5. Let t = 12 - s. Factor 4/3*r**5 + 2/3*r**3 + 7/3*r**t + 0 + 0*r - 1/3*r**2.
r**2*(r + 1)**2*(4*r - 1)/3
Let j(l) = 2*l**3 - 19*l**2 - 35*l + 25. Let o be j(11). Factor 2/7*y**5 + 2/7*y**4 + 0 + 0*y**o + 0*y + 0*y**2.
2*y**4*(y + 1)/7
Let k(j) be the first derivative of j**5/5 + j**4/4 - j**3/3 - j**2/2 - 6. Factor k(f).
f*(f - 1)*(f + 1)**2
Let s be -8*((-2)/(-8))/(-1). Find l such that 6*l**s - 4*l**2 + 3*l**2 - 2*l**2 = 0.
0
Let k(h) be the third derivative of h**7/42 - h**6/60 - h**5/4 - h**4/6 + 2*h**3/3 + 9*h**2. Find n, given that k(n) = 0.
-1, 2/5, 2
Let s(a) = -12*a**3 + 14*a**2 - 3*a + 12. Let o(d) = d**3 - d**2 - 1. Let g(z) = 22*o(z) + 2*s(z). Factor g(r).
-2*(r - 1)**3
Let f(k) = -5*k**5 - 2*k**3 + 3*k + 4. Let h(x) = -9*x**5 + x**4 - 4*x**3 - x**2 + 6*x + 7. Let l(y) = 7*f(y) - 4*h(y). Factor l(u).
u*(u - 3)*(u - 1)**2*(u + 1)
Let a be (-12)/(-18)*(4 - 1). Factor 2*i - 2*i**a - 3*i + 8 - 5*i.
-2*(i - 1)*(i + 4)
Let p = 13 - 3. Suppose q = 3*q - p. Solve -4*v**2 - 3*v**q - 2*v + v**5 + 4*v**4 + 4*v**5 = 0.
-1, 0, 1
Suppose 0 = -5*x - 5*k + 25, 2*x + 2 = 3*k - 3. Let 2*i + i**2 + 0*i**x - 2*i**2 = 0. What is i?
0, 2
Let w(x) be the second derivative of x**8/1680 + x**7/420 - x**5/60 - x**4/24 - x**3/2 - 3*x. Let c(d) be the second derivative of w(d). Solve c(g) = 0.
-1, 1
Let c(n) = -n**2 + 4*n - 1. Let k(h) = -5*h. Let u(p) = -9*p. Let v(b) = -5*k(b) + 3*u(b). Let q(i) = -2*c(i) - 6*v(i). Factor q(g).
2*(g + 1)**2
Let t(n) be the first d