 s**4/27 - 4*s**3/27 - 2*s**2. Find b, given that p(b) = 0.
2
Suppose 4 = p + 3*r, 2*r = -0*r. Suppose -2*s = -p - 0. Factor f + 2*f + s*f**3 - 2 + 3*f - 6*f**2.
2*(f - 1)**3
Suppose -n + 0*n = 1, -3*n + 72 = 5*t. Suppose -5*w + t + 5 = 0. Factor -2*q**w - q**5 - q**3 + 5 - 5.
-q**3*(q + 1)**2
Suppose 10 = 4*s + 5*t - 7, -1 = -2*s + 5*t. Suppose -1/5*o**2 + 1/5*o**s + 0 + 0*o = 0. Calculate o.
0, 1
Let x(r) = r - 2. Let k be x(3). Let o(a) be the first derivative of 1/6*a**2 + 0*a - 1/12*a**4 + k - 4/15*a**5 + 4/9*a**3. Factor o(q).
-q*(q - 1)*(q + 1)*(4*q + 1)/3
Factor -2/3*d**2 + 0 + 2/3*d**4 + 0*d + 0*d**3.
2*d**2*(d - 1)*(d + 1)/3
Let p(q) be the third derivative of -q**5/360 - q**4/48 - q**3/18 - 5*q**2. Solve p(y) = 0 for y.
-2, -1
Let w(z) = z**3 - z**2 + 1. Let n(q) = -4*q**3 + 7*q**2 + q - 6. Let v(r) = -n(r) - 6*w(r). Let j(y) = -2*y**3 - y. Let k(d) = -4*j(d) + 3*v(d). Solve k(x) = 0.
0, 1/2, 1
Let u(a) be the first derivative of -a**5/30 + a**4/27 + a**3/27 - 3*a - 5. Let n(o) be the first derivative of u(o). What is i in n(i) = 0?
-1/3, 0, 1
Let o(y) = -3*y**3 + 60*y**2 - 48*y + 12. Let a(z) = z**3 - 24*z**2 + 19*z - 5. Let g(p) = 12*a(p) + 5*o(p). Factor g(s).
-3*s*(s - 2)**2
Let o be -2 + (-42)/(-35) + 4. Factor -6/5*t**3 + 2/5*t**2 + o*t + 8/5.
-2*(t - 2)*(t + 1)*(3*t + 2)/5
Let n(i) be the third derivative of i**7/210 - i**6/40 + i**5/60 + i**4/8 - i**3/3 - 6*i**2. Factor n(o).
(o - 2)*(o - 1)**2*(o + 1)
Let n(v) = 578*v**3 + 442*v**2 - 133*v + 8. Let t(y) = -289*y**3 - 221*y**2 + 66*y - 4. Let c(i) = 4*n(i) + 10*t(i). Determine j so that c(j) = 0.
-1, 2/17
Let d(p) be the first derivative of p**5/40 + p**4/32 - 5*p**3/24 + 3*p**2/16 + 9. Find h such that d(h) = 0.
-3, 0, 1
Let l be (-56)/(-10) - 10/(-25). Factor 9*y**3 - y**3 - 2*y**2 - 2*y**3 + 2*y - l*y.
2*y*(y - 1)*(3*y + 2)
Let -3*z**2 + 5 - 2*z - 4*z - 14 - 6*z = 0. What is z?
-3, -1
Let j(d) = -5*d**2 + 60*d - 50. Let w(r) = 3*r**2 - 30*r + 25. Let x(q) = -2*j(q) - 5*w(q). Factor x(n).
-5*(n - 5)*(n - 1)
Let t(g) be the third derivative of -1/70*g**7 - 1/2*g**3 + 0*g**6 + 1/10*g**5 + 0 + 3*g**2 + 0*g**4 + 0*g. Factor t(c).
-3*(c - 1)**2*(c + 1)**2
Let k(i) = -4 + 119*i**3 - 116*i**3 + 1 - 3*i**2. Let u(l) = l**4 - 10*l**3 + 8*l**2 + 8. Let z(a) = -8*k(a) - 3*u(a). Factor z(h).
-3*h**3*(h - 2)
Let m = 1932471/3661 - -2/523. Let w = m + -527. Factor -w*b**3 + 2/7*b**4 - 2/7*b + 0 + 6/7*b**2.
2*b*(b - 1)**3/7
Let o(k) = k**3 + 14*k**2 - 74*k - 34. Let a be o(-18). Factor -4*h**4 + 0*h - 7/2*h**3 + 0 - h**a - 3/2*h**5.
-h**2*(h + 1)**2*(3*h + 2)/2
Suppose d + 5 = 0, 3*c = 4*c - d - 10. Suppose c*n**2 + 3*n**3 + 0*n**4 - 3*n**2 - 7*n**3 + 2*n**4 = 0. What is n?
0, 1
Find x, given that 0*x**3 + 0*x - 2/5*x**4 + 4/5*x**2 - 2/5 = 0.
-1, 1
Let v(n) = n**3 + 10*n**2 + 10*n + 11. Let s = 5 - 14. Let x be v(s). Determine j, given that -1/2*j**x - j - 1/2 = 0.
-1
Let m be 13699/3420 + 2*-2. Let g(f) be the third derivative of 0 + 0*f + m*f**5 - 1/18*f**3 + 5*f**2 - 1/720*f**6 + 1/144*f**4. Determine b so that g(b) = 0.
-1, 1, 2
Suppose 4*u + 2 = -2. Let r be 2*u*(-6)/4. What is y in -4/3*y**2 - 2/9*y**r - 16/9 - 8/3*y = 0?
-2
Let q(t) be the second derivative of 4*t + 1/50*t**5 - 1/15*t**3 + 0 + 0*t**4 + 0*t**2. Factor q(y).
2*y*(y - 1)*(y + 1)/5
Let z = 10 + 6. Factor 36*b - z - 36*b**2 + 5*b**3 + 9*b**3 + 4*b - 2*b**4.
-2*(b - 2)**3*(b - 1)
Let n be 1*(3 - 4 - -4). Let z(o) be the second derivative of 0 - 1/2*o**3 - 3/2*o**2 - 1/16*o**4 - n*o. Factor z(a).
-3*(a + 2)**2/4
Let j = 11/3 + -19/6. Determine v, given that -2*v**3 + 5/2*v**4 + j*v**2 - v**5 + 0 + 0*v = 0.
0, 1/2, 1
Let a(s) be the first derivative of -3*s**4/4 - 29. Determine o so that a(o) = 0.
0
Let k(g) be the first derivative of 2/39*g**3 + 0*g - 2/13*g**2 + 2. Find n such that k(n) = 0.
0, 2
Let d(z) = z**3 - 6*z**2 - 8*z + 7. Let n be d(7). Let n + 0*j + 0*j**2 + 1/4*j**3 = 0. What is j?
0
Suppose 3*l - 11 - 13 = 5*g, 0 = 5*l - 4*g - 27. Suppose 8*n = l*n. Solve s**3 + 1/4*s**5 + 0*s - s**4 + n + 0*s**2 = 0 for s.
0, 2
Let g(w) be the first derivative of -w**4/8 - 5*w**3/6 - 2*w**2 - 2*w - 6. Factor g(n).
-(n + 1)*(n + 2)**2/2
Suppose 4 = 2*h - 4*a, 9*h - 6*h - a - 6 = 0. Let 1/2*n**h - 1/2 + 0*n = 0. What is n?
-1, 1
Find r, given that -4*r + 0*r**2 + 3 - 2 - r**2 + 7*r**2 + r**4 - 4*r**3 = 0.
1
Let j(w) = -5*w**4 + 10*w**2 - 5*w - 15. Let o(x) = -5*x**4 + x**3 + 11*x**2 - 5*x - 14. Let q(l) = -4*j(l) + 5*o(l). Find i such that q(i) = 0.
-1, 1, 2
Let f = -13 + 15. Determine w so that 42 - 4*w**2 + 10*w**f - 38 - 10*w = 0.
2/3, 1
Let d(t) be the first derivative of t**6/24 - t**5/20 - 3. Find s such that d(s) = 0.
0, 1
Let w = -3044/5 + 610. Solve 3/5*l**3 + 0 + w*l**2 + 3/5*l = 0.
-1, 0
Factor 2/15*b**4 + 4/3*b**3 + 8*b + 74/15*b**2 + 24/5.
2*(b + 2)**2*(b + 3)**2/15
Let d be 1/(-3)*(12 + 0) - -7. Let w(p) be the first derivative of 5/4*p**4 + 1/5*p**5 + 7/2*p**2 + 2*p + 3*p**d + 3. Solve w(r) = 0 for r.
-2, -1
Let u(i) = i**2 - 2*i - 3. Let j(f) = -f - 2*f - f**3 + 2*f - 4*f**2 + 3*f**2 - 1. Let q(r) = 3*j(r) - 3*u(r). Factor q(v).
-3*(v - 1)*(v + 1)*(v + 2)
Determine l so that -6/7*l**2 - 2/7 + 2/7*l**3 + 6/7*l = 0.
1
Let g(y) be the second derivative of -1/3*y**2 + 11/36*y**4 + 4*y + 0 - 5/18*y**3 - 1/15*y**5. Suppose g(b) = 0. Calculate b.
-1/4, 1, 2
Let d = 4 - 3. Let s be 2 + -1 + 0/d. Solve -t**4 - 11*t**3 - 3*t**4 + t + s - 2*t - 9*t**2 = 0 for t.
-1, 1/4
Let g(y) = 6*y**2 + y - 2. Let z(a) = 7*a**2 + a - 2. Let v(f) = -6*g(f) + 5*z(f). Suppose v(k) = 0. What is k?
-2, 1
Suppose 0 - 1/5*m**2 - 1/5*m = 0. Calculate m.
-1, 0
Let l(c) be the second derivative of c**7/105 - c**6/75 - c**5/25 + 4*c. Find q, given that l(q) = 0.
-1, 0, 2
Let v(i) be the second derivative of 0 + i**2 + 1/150*i**5 + i + 1/60*i**4 + 0*i**3. Let n(b) be the first derivative of v(b). Factor n(g).
2*g*(g + 1)/5
Suppose 2*u = -7 - 5. Let h = u + 9. Factor 5*y - 3*y - y**h - 3*y + 2*y**2.
-y*(y - 1)**2
Let n = -38 + 40. Let 0*t + 2/3*t**n - 2/3 = 0. Calculate t.
-1, 1
Let h(z) be the second derivative of -z**7/105 + z**5/25 - z**3/15 - 21*z. Find q such that h(q) = 0.
-1, 0, 1
Suppose 23 + 41 = 16*b. Factor 0 + 1/5*w**5 + 0*w**2 + 1/5*w**b + 0*w**3 + 0*w.
w**4*(w + 1)/5
Let h(w) be the first derivative of -3/2*w**2 - 5 - 6*w + w**3. Let h(k) = 0. Calculate k.
-1, 2
Let x(h) = -9*h**5 - 3*h**4 - 3*h**3 + 9*h**2. Let z(g) = -17*g**5 - 6*g**4 - 5*g**3 + 17*g**2. Let a(j) = -11*x(j) + 6*z(j). Suppose a(i) = 0. Calculate i.
-1, 0, 1
Let c(h) = 29*h**2 + 18*h + 1. Let w(a) = -a**3 + 4*a**2 + 8*a - 6. Let f be w(5). Let d(z) = 117*z**2 + 72*z + 3. Let m(s) = f*c(s) - 2*d(s). Factor m(x).
3*(3*x + 1)**2
Let f(y) = -6*y**2 - 10*y. Let c(v) = -v**2. Let u(q) = 2*c(q) - f(q). Let d(k) = -k. Let r(t) = 10*d(t) + u(t). Factor r(i).
4*i**2
Let u be 1 - (-64)/(-16)*2/24. What is v in -u*v + 2/3*v**4 + 4/3*v**3 + 2/3 - 2/3*v**5 - 4/3*v**2 = 0?
-1, 1
Let m(l) be the second derivative of -3*l**7/70 + l**6/10 + 21*l**5/100 - 9*l**4/20 - 2*l**3/5 + 6*l**2/5 + 14*l. Let m(r) = 0. What is r?
-1, 2/3, 1, 2
Let w(x) be the first derivative of 0*x**2 + 0*x**4 + 0*x + 2 - 2/21*x**3 + 2/35*x**5. Let w(k) = 0. What is k?
-1, 0, 1
Let q(c) = -c**3 - 8*c**2 + 10*c + 10. Let r be q(-9). Let j(i) = -i - 2 + 2. Let k(w) = 2*w**2 + 6*w. Let o(m) = r*k(m) + 6*j(m). Factor o(n).
2*n**2
Determine c, given that -c**4 - c**3 - 3*c + 2*c + 2*c**2 + 2*c - c**2 = 0.
-1, 0, 1
Let q(w) be the first derivative of w**5/20 - w**3/12 - 8. Factor q(u).
u**2*(u - 1)*(u + 1)/4
Let y(p) be the third derivative of 1/24*p**4 + 0*p**3 - 1/240*p**6 + 0*p - 1/120*p**5 + 0 - 4*p**2. Determine a so that y(a) = 0.
-2, 0, 1
Factor 5*i**2 + 77*i + 320 + 21*i - 18*i.
5*(i + 8)**2
Let n be 9/(-6)*(-1 + -1). Suppose o = -n*o + 16. Factor -6*z - 4*z**2 + 1 + 2*z**3 + z**5 + 3*z - 4*z**4 + z**o + 6*z**2.
(z - 1)**4*(z + 1)
Let g(y) = 2*y + 33. Let z be g(-15). Factor -1/2*x**4 - 2 - 6*x - 3*x**z - 13/2*x**2.
-(x + 1)**2*(x + 2)**2/2
Determine m, given that 1/3*m + 0*m**2 - 1/3*m**3 + 0 = 0.
-1, 0, 1
Let l(n) be the third derivative of n**8/20160 - n**7/5040 - n**6/360 - n**5/60 - 2*n**2. Let q(w) be the third derivative of l(w). Find p, given that q(p) = 0.
-1, 2
Let l(t) be the third derivative 