v*s**2 - 1/3*s**3 + 0 - 1/5*s**5 - 1/2*s**4. Find p, given that u(p) = 0.
-1, -1/2, 0
Let w(b) be the first derivative of -b**4/8 - b**3/6 + b**2/4 + b/2 - 30. Solve w(c) = 0 for c.
-1, 1
Let c = 2/239 + 2143/956. Factor 0 - 3/4*g**3 - 3/2*g - c*g**2.
-3*g*(g + 1)*(g + 2)/4
Factor 0*g - 2/11 + 2/11*g**2.
2*(g - 1)*(g + 1)/11
Let s(x) be the first derivative of 0*x - 1/8*x**6 + 1/4*x**3 + 1 + 0*x**2 + 9/20*x**5 - 9/16*x**4. What is c in s(c) = 0?
0, 1
Let z(c) = -3*c**3 + 27*c**2 + 3. Let h(y) = -y**2 - 1. Let j(r) = 3*h(r) + z(r). Factor j(u).
-3*u**2*(u - 8)
Let g(c) be the third derivative of -c**5/360 + c**4/48 + 15*c**2. Determine d, given that g(d) = 0.
0, 3
Find y such that 15*y**3 + 18*y - 3*y + 5*y**4 + 15*y**2 - 10*y = 0.
-1, 0
Let b be (1 - 2) + -1 + -7. Let q = -9 - b. Suppose 2/5*d + 0*d**2 - 2/5*d**3 + q = 0. What is d?
-1, 0, 1
Let j be 0/((-3 + 12)/(-3)). Solve 0 + j*o**3 + 0*o + 2/7*o**4 - 2/7*o**2 = 0 for o.
-1, 0, 1
Let b(v) be the third derivative of -v**6/20 - v**5/6 - v**4/6 - 11*v**2. Factor b(k).
-2*k*(k + 1)*(3*k + 2)
Let z(u) be the third derivative of -u**6/1800 + u**5/150 - u**4/30 + 2*u**3/3 + 3*u**2. Let b(n) be the first derivative of z(n). Factor b(x).
-(x - 2)**2/5
Suppose -4*a + 10 = a. Let y be a/3 + (-10)/24. Suppose 0*m - 1/4 + y*m**2 = 0. Calculate m.
-1, 1
Suppose -18 = -2*c - c + d, 0 = -4*c + 4*d + 24. Let i be (-4)/6 - (-16)/c. Factor 2*o + 2 + 0*o**3 + 0*o**2 - i*o**2 - 2*o**3.
-2*(o - 1)*(o + 1)**2
Determine i, given that 2/3*i + 2/9 + 2/3*i**2 + 2/9*i**3 = 0.
-1
Let z(b) be the first derivative of b**4/10 + 8*b**3/15 + b**2 + 4*b/5 + 8. Factor z(i).
2*(i + 1)**2*(i + 2)/5
Let c(t) be the third derivative of -3*t**7/70 - t**6/20 + 3*t**5/20 + t**4/4 - 31*t**2. Factor c(y).
-3*y*(y - 1)*(y + 1)*(3*y + 2)
Factor -1/6*p**2 + 1/6*p + 1.
-(p - 3)*(p + 2)/6
Let i(q) = -q**2 - 8*q - 4. Let f be i(-7). Suppose -f*k + 9 = 3*v, -3*v + 5 = -4*k + 3. Find h, given that -2/9 + 4/9*h**3 - 2/3*h**4 - 4/9*h + 8/9*h**v = 0.
-1, -1/3, 1
Solve c**2 + 1/5*c**3 + 0*c + 0 = 0.
-5, 0
Let w(q) be the first derivative of 4*q - 2 + 0*q - 5*q. Let o(f) = -f**2 - 2*f - 5. Let k(h) = -o(h) + 4*w(h). Suppose k(v) = 0. What is v?
-1
Let j be 3/2*(-12)/(-9). Let g(b) be the first derivative of -1/6*b**3 - 1 - b**2 - j*b. Factor g(h).
-(h + 2)**2/2
Suppose 4*i - 43 - 13 = 0. Suppose i = 2*b + 4*p, 4*b - 22 = -0*b - 5*p. Factor 0*s**2 + 3*s**4 - s**3 + s**2 - b*s**3.
s**2*(s - 1)*(3*s - 1)
Let z(j) = j**3 - 3*j**2 - 3*j. Let v(f) = f**3 - 3*f**2 - 4*f. Let a(b) = 5*v(b) - 6*z(b). Solve a(r) = 0 for r.
0, 1, 2
Suppose -2*x - 39 + 43 = 0. Factor 1/2*v**x + 0 + 1/2*v.
v*(v + 1)/2
Let h(f) be the third derivative of -f**6/120 - f**5/12 + f**4/4 + 2*f**2. Let a be h(-6). Find v such that 2/5*v**3 + a*v**2 - 2/5*v + 0 = 0.
-1, 0, 1
Let m = -9 - -3. Let t(z) = z**3 + 5*z**2 - 8*z - 10. Let s be t(m). Factor -1/3*p**2 - 3 + s*p.
-(p - 3)**2/3
Let y(n) = -2*n**3 - 8*n**2 - 15*n - 4. Let q(m) = m**3 + 5 + 12*m + 2*m + 4*m**2 + m + 3*m**2. Let b(g) = 5*q(g) + 4*y(g). Factor b(v).
-3*(v - 3)*(v + 1)**2
Let 4/5*t**2 - 4/5 - 2/5*t**3 + 2/5*t = 0. Calculate t.
-1, 1, 2
Let i(c) = 4*c**2 + 14*c + 6. Suppose 0 = 3*x - 2*v - 6 - 4, 2*x - v - 6 = 0. Let m(t) = -8*t**2 - 29*t - 11. Let p(b) = x*m(b) + 5*i(b). Factor p(d).
4*(d + 1)*(d + 2)
Let z = 156 - 156. Determine u so that 3/2*u**3 + z - 2*u - 2*u**2 = 0.
-2/3, 0, 2
Let u(a) be the first derivative of 4*a**3/3 + 1. Determine q, given that u(q) = 0.
0
Let o be (((-70)/25)/(-7))/(4/5). Factor -1/2*w**2 + 0 + o*w.
-w*(w - 1)/2
Let g = 15 - 13. Let w = -67/6 - -38/3. Let -1/2*u - w*u**3 + 0 + 3/2*u**g + 1/2*u**4 = 0. Calculate u.
0, 1
Let t be (-5 - (-3 - 4/2))*1. Factor 12/5 - 21/5*f**2 + 9/5*f**3 + t*f.
3*(f - 2)*(f - 1)*(3*f + 2)/5
Suppose 2/15*j**2 + 2/15*j + 0 = 0. What is j?
-1, 0
Factor 0*p**2 + 0 + 1/4*p**3 - 1/4*p.
p*(p - 1)*(p + 1)/4
Let k(u) = u**3 - 6*u**2 + u - 1. Let b be k(6). Suppose 3*h**3 + h**5 - 5*h**5 - 7*h**2 + 2*h**2 + h + b*h**4 = 0. Calculate h.
-1, 0, 1/4, 1
Let b(d) be the first derivative of -d**8/3360 + d**6/720 + 4*d**3/3 - 2. Let r(a) be the third derivative of b(a). Determine k, given that r(k) = 0.
-1, 0, 1
Let f be (-3)/9*-9 + 213/(-72). Let v(b) be the second derivative of 0*b**2 - 1/80*b**5 + 0 - 1/24*b**3 - f*b**4 - 2*b. Suppose v(y) = 0. Calculate y.
-1, 0
Let l be 4/5 - (57/(-10) - -5). Factor 0 + l*q + 3/2*q**2.
3*q*(q + 1)/2
Let x = 64 + -255/4. Solve -1 - x*k**2 + k = 0.
2
Let o = 22 + -20. Suppose -4*b + n = -12, o*b + 4 = -4*n + 2*n. Factor -6/7*s + 4/7 + 2/7*s**3 + 0*s**b.
2*(s - 1)**2*(s + 2)/7
Let k be 4/(-2) - (1 - -2). Let f(w) = -w - 2. Let a be f(k). Factor -r**2 + 3*r**5 + r**4 + 0*r**5 + 7*r**3 - 2*r**5 - 8*r**a.
r**2*(r - 1)*(r + 1)**2
Suppose 0 = x - 2*r - 12, 5*x - 10*r + 5*r = 35. Solve -1/3*d**x - 1/6*d + 1/6 = 0 for d.
-1, 1/2
Suppose 5*b + 4*n - 2 = -10, b + 2*n = -4. Suppose u + 2*i = 3*u - 6, b = -2*u + 5*i. Find c, given that 0*c + 1/4*c**3 + 0 + 1/4*c**u + 0*c**2 + 1/2*c**4 = 0.
-1, 0
Let g be 1/2 + 14/4. What is b in 2 + 24*b**3 - 8*b**4 - 11*b - 3*b - b + 23*b**2 - 8*b**g = 0?
-1, 1/4, 2
Let u(n) be the second derivative of -n**5/30 - 7*n**4/18 - 8*n**3/9 + 16*n**2/3 - 23*n. Find r such that u(r) = 0.
-4, 1
Let b(u) be the third derivative of u**6/96 + 5*u**5/48 + 35*u**4/96 + 5*u**3/8 - 3*u**2. Factor b(g).
5*(g + 1)**2*(g + 3)/4
Find p, given that -15*p**5 + 14*p**3 + 18*p - 3 - 16*p**2 + 48*p**4 - 30*p**2 - 17*p**5 + 1 = 0.
-1, 1/4, 1
Let b = 8/73 - -122/219. Let 0*y + b*y**2 + 0 - 5/3*y**3 + y**4 = 0. What is y?
0, 2/3, 1
Let p(m) be the third derivative of -m**7/735 - m**6/210 - m**5/210 + 11*m**2. Factor p(n).
-2*n**2*(n + 1)**2/7
Let m(l) = -l**2 - 11*l - 8. Let s be m(-10). Factor s*n**3 + 3*n - 2*n**3 - 3*n**3.
-3*n*(n - 1)*(n + 1)
Let z(s) be the second derivative of -s**6/30 + s**5/20 + s**4/4 - s**3/6 - s**2 - 27*s. Factor z(y).
-(y - 2)*(y - 1)*(y + 1)**2
Let v(s) be the second derivative of 3*s**5/20 - s**4/4 - s**3/2 + 3*s**2/2 - 9*s. What is l in v(l) = 0?
-1, 1
Factor 30*f**2 + 0 + 21*f + 5 + 14*f.
5*(f + 1)*(6*f + 1)
Let q(i) be the second derivative of 0 + 0*i**5 + 0*i**2 - 1/48*i**4 - 3*i + 1/3*i**3 + 1/720*i**6. Let c(s) be the second derivative of q(s). Factor c(x).
(x - 1)*(x + 1)/2
Let a(s) be the first derivative of -8/27*s**3 - 1 - 1/18*s**4 + 0*s - 4/9*s**2. Let a(o) = 0. What is o?
-2, 0
Let b(x) be the third derivative of x**8/672 + x**7/840 - x**6/240 - x**5/240 - 6*x**2. What is o in b(o) = 0?
-1, -1/2, 0, 1
Let t(g) = g**2 - g - 7. Let y be t(-3). Let f(d) be the first derivative of 0*d**3 - 1/5*d**y + 1/2*d**4 - d**2 + 3 + d. Factor f(q).
-(q - 1)**3*(q + 1)
Let m(u) = -u**5 + 13*u**4 - 25*u**3 + 31*u**2 - 22*u - 2. Let x(g) = 3*g**5 - 38*g**4 + 74*g**3 - 92*g**2 + 65*g + 5. Let s(t) = 17*m(t) + 6*x(t). Factor s(w).
(w - 2)**2*(w - 1)**3
Let s(p) = p**2 + 3*p + 2. Let d be s(-3). Let w(g) = g**2 - g - 4. Let b be w(3). Let -2*z + 2*z**3 + 0*z**2 - z**d - z + b - 2*z**2 = 0. Calculate z.
-1, 1/2, 2
Let b = -60 + 62. Let m(z) be the first derivative of 3/2*z**4 + b - 7/10*z**5 - 1/2*z**3 - 1/2*z**2 + 0*z. Factor m(r).
-r*(r - 1)**2*(7*r + 2)/2
Let p(l) = -3*l**2 - 100*l - 580. Let r(z) = 2*z**2 + 66*z + 387. Let k(t) = -5*p(t) - 8*r(t). Factor k(i).
-(i + 14)**2
Let b = -690/7 - -2767/28. Find d, given that 0*d + 1/4*d**2 + 0 + b*d**3 = 0.
-1, 0
Let u(a) = -6*a + 157. Let k be u(26). Factor -1/2*r**2 - k + 3/2*r.
-(r - 2)*(r - 1)/2
Factor -1/4*v**3 + 0*v + 0 - 1/4*v**4 + 1/4*v**5 + 1/4*v**2.
v**2*(v - 1)**2*(v + 1)/4
Suppose -4*k + 7*k = -5*o, -3*k + 5*o + 30 = 0. Determine j, given that 4*j**k + 8*j**3 + j**4 + 2*j**2 - 12*j**3 - 3*j**4 = 0.
-1, 0, 1/2, 1
Factor 85*h**3 - 7*h**2 - 82*h**3 - 5*h**2.
3*h**2*(h - 4)
Let s = -1/19 - -23/76. What is n in 0*n**2 - 1/2*n**3 + 1/2*n - 1/4 + s*n**4 = 0?
-1, 1
Let y(i) be the first derivative of -5*i**3/3 - 5*i**2 + 15*i + 66. Solve y(f) = 0 for f.
-3, 1
Let l be 1*(3 - (-2 + 0)). Let n = l - 3. Let 3 + 6*b**n - 1 - 5*b**3 + 3*b**3 + 0*b**3 - 6*b = 0. Calculate b.
1
Let b(o) = -o**2 + o. Let f(z) = 3*z**2 + 22*z + 20. Let d(t) = -2*b(t) + f(t). Factor d(w).
5*(w + 2)**2
Let q = 44 - 128/3. Factor -2/3*g**2 - q - 2*g.
-2*(g + 1)*(g + 2)/3
Suppose 0 + 6/7*w**2 + 2