1/8*c**4 + 1/4*c**2 + 1/6*c**3 - p*c. Factor l(v).
-(v - 1)**2*(v + 1)/2
Let g(h) be the second derivative of h**5/70 + h**4/42 - h**3/21 - h**2/7 - h. Factor g(t).
2*(t - 1)*(t + 1)**2/7
Let d(y) be the third derivative of -y**7/70 - y**6/40 + y**5/20 + y**4/8 - 22*y**2. Factor d(u).
-3*u*(u - 1)*(u + 1)**2
Suppose 0*p + 4*p + 4*b = 12, -b = 3. Let u be p/(-10) - 52/(-20). Factor 1/3 + 16/3*i**u - 8/3*i.
(4*i - 1)**2/3
Let z(r) = r**3 - 6*r**2 + 3. Let b be z(6). Suppose 0 = -2*n - b*n. Suppose -2/5*y**2 + 2/5*y**5 + 0 + n*y + 2/5*y**4 - 2/5*y**3 = 0. What is y?
-1, 0, 1
Let s = 1 - 0. Let h = s - -1. Let -4*x**3 + 8*x**3 + x**2 + 8*x**5 + x**h - 14*x**4 = 0. Calculate x.
-1/4, 0, 1
Suppose -181 = 5*l - 36. Let x = l - -33. Factor -3/2*p**2 - 3/2*p + 3/2*p**x + 0 + 3/2*p**3.
3*p*(p - 1)*(p + 1)**2/2
Suppose 6*u - 3*u + 5*n - 9 = 0, -4*u - n = -12. Factor -2*j**4 + 2 - 3*j**u + j**4 + 0*j**4 + 3*j - j**2.
-(j - 1)*(j + 1)**2*(j + 2)
Suppose q = -4*q + 10. Solve 1/3*t**q + 2/3 + t = 0.
-2, -1
Factor 11*i**2 + 2*i**3 - 2*i - i**4 + 3*i**4 - 13*i**2.
2*i*(i - 1)*(i + 1)**2
Let z(s) be the third derivative of -s**7/840 + s**6/240 - s**4/48 + s**3/24 + 8*s**2. Factor z(r).
-(r - 1)**3*(r + 1)/4
Suppose -2*c = -c - 5*w - 42, -3*w = -c + 38. Suppose 4 = -t, 3*t = 4*v + 2*t - c. Factor 6*h**4 - 4*h**4 + 9*h**2 + 1 + v*h**3 + 2*h**4 - 2*h**4 + 5*h.
(h + 1)**3*(2*h + 1)
Let b(d) be the third derivative of 0*d - 1/540*d**6 - 1/9*d**4 - 1/45*d**5 - 1/6*d**3 + d**2 + 0. Let w(g) be the first derivative of b(g). Factor w(f).
-2*(f + 2)**2/3
Let u(j) be the first derivative of -j**6/14 - 6*j**5/35 + 3*j**4/28 + 2*j**3/7 - 6. Solve u(m) = 0.
-2, -1, 0, 1
Suppose 2*d - d = 1. Factor 0*c**2 + 5*c**2 + d - 2*c - 4*c**2.
(c - 1)**2
Let x be 3 - (0 - (-2 + 2)). Determine m so that -2/5 + 1/5*m + 3/5*m**2 - 1/5*m**4 - 1/5*m**x = 0.
-2, -1, 1
Let t(n) be the third derivative of -n**8/840 + n**7/105 - 2*n**6/75 + 2*n**5/75 - n**2. What is p in t(p) = 0?
0, 1, 2
Let u(t) = t**3 - 5*t**2 - 5*t - 3. Let v be u(6). Let y = 0 + v. Factor 2*k**2 - 5*k**4 - 2*k**y + k**4 + 2*k**4 + 2*k**5.
2*k**2*(k - 1)**2*(k + 1)
Let d = 55 - 272/5. Solve -1/5*p**2 - 2/5*p + d = 0.
-3, 1
Let q be -2 - (20/(-6))/(9/6). Let 0 + 0*x - q*x**3 + 0*x**4 + 0*x**2 + 2/9*x**5 = 0. Calculate x.
-1, 0, 1
Let v(x) = -5*x**2 - 3*x + 4. Let j(z) = 81*z**2 + 48*z - 63. Let p(m) = -2*j(m) - 33*v(m). Find a such that p(a) = 0.
-2, 1
Suppose 0 + 1/5*w**3 - 9/5*w**2 + 0*w = 0. Calculate w.
0, 9
Let c(u) be the second derivative of 3*u**4 + 1/14*u**7 + 0 - 9*u + 39/20*u**5 + 2*u**3 + 3/5*u**6 + 0*u**2. What is h in c(h) = 0?
-2, -1, 0
Suppose 3*y - b + 0*b = 0, -3*y - 5*b = 0. Factor y - 2/3*o - 1/3*o**2.
-o*(o + 2)/3
Let d(z) be the third derivative of 21*z**5/10 + 8*z**4/3 + 4*z**3/3 - 2*z**2. Determine t so that d(t) = 0.
-2/7, -2/9
Suppose 0 - 5/2*w - 5/6*w**3 + 10/3*w**2 = 0. Calculate w.
0, 1, 3
Suppose 3*c - c - 6 = 0. Let -3*i**3 + 2*i**4 - 2*i**c + i**3 = 0. Calculate i.
0, 2
Let g(m) be the first derivative of 2 - 9/2*m**4 + 0*m - 2*m**3 + 0*m**2 + 21/10*m**5. Determine n so that g(n) = 0.
-2/7, 0, 2
Let r(s) = 5*s**3 + 2*s**2 - 2*s - 2. Let u(o) = 5*o**3 + 3*o**2 - 3*o - 3. Let b(d) = 2*r(d) - 3*u(d). Find a such that b(a) = 0.
-1, 1
Find k such that 4/7 + 4/7*k**2 + 8/7*k = 0.
-1
Suppose -4*z + 7*z**2 + 7*z - z + 3*z**3 = 0. Calculate z.
-2, -1/3, 0
Suppose 7*j - 3*j - 12 = 0. Let l be j - (-160)/(-28) - -3. What is g in -6/7*g**3 - l*g - 6/7*g**2 - 2/7*g**4 + 0 = 0?
-1, 0
Let c(w) be the second derivative of -w**6/60 + w**4/4 + 2*w**3/3 + w**2/2 - 2*w. Let m(v) be the first derivative of c(v). Factor m(g).
-2*(g - 2)*(g + 1)**2
Factor -4*k**2 - 1 + 2*k + 17 + 2*k**3 - 16.
2*k*(k - 1)**2
Let h(m) = 4*m**2 - 4*m - 1. Let l(b) = -2*b**2 + 2*b. Let p(x) = 4*h(x) + 7*l(x). Let p(d) = 0. What is d?
-1, 2
Let v(w) be the second derivative of -w**5/240 - w**4/96 + 3*w**2/2 + 2*w. Let d(a) be the first derivative of v(a). Factor d(k).
-k*(k + 1)/4
Let f = -17 - -8. Let t = f - -9. Factor 3/2*u**4 + 1/2*u**2 - 2*u**3 + 0*u + t.
u**2*(u - 1)*(3*u - 1)/2
Let k(i) be the first derivative of i**8/84 - 4*i**7/105 + i**6/30 + 3*i**2 - 2. Let g(l) be the second derivative of k(l). Solve g(d) = 0 for d.
0, 1
Let -8/7 + 4/7*d**2 + 4/7*d = 0. Calculate d.
-2, 1
Factor 3/7*h + 5/7*h**2 + 0 + 1/7*h**3 - 1/7*h**4.
-h*(h - 3)*(h + 1)**2/7
Let x(d) be the first derivative of -d**6/7 - 34*d**5/35 - 33*d**4/14 - 46*d**3/21 + 8*d/7 + 9. Let x(t) = 0. Calculate t.
-2, -1, 1/3
Let r be 20/(-15)*4/(-160). Let t(f) be the second derivative of -1/12*f**4 + 0 + 3*f + r*f**5 + 1/6*f**2 + 0*f**3. Determine m, given that t(m) = 0.
-1/2, 1
Let l = 185 - 923/5. Factor 0*q + 0 - l*q**3 + 2/5*q**2.
-2*q**2*(q - 1)/5
Let g(u) be the first derivative of 2*u**3/3 + 3*u**2 - 1. Factor g(t).
2*t*(t + 3)
Suppose c = 8*c + 3*c. Factor 0 + 32/11*f + 0*f**2 + 2/11*f**5 - 16/11*f**3 + c*f**4.
2*f*(f - 2)**2*(f + 2)**2/11
Let h(p) be the second derivative of -p**7/315 + p**6/45 - 7*p**5/150 + p**4/30 + 2*p. Factor h(u).
-2*u**2*(u - 3)*(u - 1)**2/15
Let b(y) be the second derivative of -11*y**6/70 + 51*y**5/35 - 36*y**4/7 + 8*y**3 - 24*y**2/7 - 8*y. Factor b(i).
-3*(i - 2)**3*(11*i - 2)/7
Factor -6*v**2 + 6 - 3*v**3 - 5*v**3 + 5*v**3 + 3*v.
-3*(v - 1)*(v + 1)*(v + 2)
Let c be (-2 - -6) + 10/10. Let d(f) = -f**2 + 7*f - 10. Let n be d(c). Factor -1/6*g**2 + n + 1/6*g.
-g*(g - 1)/6
Let k(a) be the first derivative of 2*a**3/3 - a**2 + 4. Find b such that k(b) = 0.
0, 1
Let t(y) be the second derivative of 1/80*y**5 + 1/4*y**2 - 3*y + 0 + 0*y**4 - 1/8*y**3. Factor t(v).
(v - 1)**2*(v + 2)/4
Determine g, given that -3*g**3 + 2564 - 9*g**2 - 2564 = 0.
-3, 0
Factor 3/5*l**4 + 0*l + 0 - 3/5*l**2 + 0*l**3.
3*l**2*(l - 1)*(l + 1)/5
Let k(w) be the second derivative of 1/6*w**4 + 0*w**2 + w**3 + 0 + 7*w. Factor k(t).
2*t*(t + 3)
Solve 0*v**4 - 71*v**2 + 76*v**2 - 5*v**4 = 0 for v.
-1, 0, 1
Let m(p) = 9*p**3 - 3*p. Let i(c) = c**4 - 17*c**3 + 7*c - 1. Let z(o) = -3*i(o) - 5*m(o). Suppose z(j) = 0. What is j?
-1, 1
Let f(c) be the first derivative of 3 + 0*c + 1/7*c**2 + 4/21*c**3 + 1/14*c**4. Factor f(n).
2*n*(n + 1)**2/7
Let k(d) be the third derivative of -d**8/3696 - d**7/2310 + d**6/1320 + d**5/660 - 7*d**2. What is z in k(z) = 0?
-1, 0, 1
Let t(b) be the third derivative of b**5/270 + 5*b**4/54 + 25*b**3/27 - 21*b**2. Factor t(m).
2*(m + 5)**2/9
Let i(n) be the first derivative of 0*n + 1/6*n**2 + 0*n**3 - 1/12*n**4 - 3. Find l, given that i(l) = 0.
-1, 0, 1
Suppose 0 = -4*i + 40 - 40. Factor -2/3*k**3 + i + 4/3*k - 2/3*k**2.
-2*k*(k - 1)*(k + 2)/3
Let r(k) = 4*k**3 - 4*k**2 - 6*k + 18. Let y(m) = -m**3 - m - 1. Let x(w) = 2*r(w) + 4*y(w). Solve x(f) = 0 for f.
-2, 2
Suppose -3*r + 17 = -4. Let i = -4 + r. Solve b**2 - 4/3 + 2/3*b**i - 1/3*b**4 - 4/3*b = 0 for b.
-1, 2
Solve -2/7*w**3 + 2/7*w + 2/7 - 2/7*w**2 = 0 for w.
-1, 1
Factor -n**2 - 2*n**3 - 4*n + 3*n**2 + 4*n**3.
2*n*(n - 1)*(n + 2)
Let i(b) be the third derivative of -2*b**7/105 - b**6/10 - b**5/5 - b**4/6 + b**2. Solve i(s) = 0.
-1, 0
Let j be (1/(-10))/(5 + (-27)/5). Suppose j*f - 1/4*f**3 - 1/2*f**4 - 1/4 + 3/4*f**2 = 0. What is f?
-1, 1/2, 1
Let d(n) be the third derivative of 4*n**2 + 0 + 0*n + 1/36*n**4 + 1/60*n**5 + 1/360*n**6 + 0*n**3. Find r such that d(r) = 0.
-2, -1, 0
Let i = 2 - 7. Let c = i + 7. Let 32/5*m**c - 128/5*m**3 + 8/5*m - 2/5 = 0. Calculate m.
-1/4, 1/4
Let n(x) = -6*x**4 + 8*x**3 - 16*x**2 + 12*x - 6. Let c(b) = 11*b**4 - 16*b**3 + 31*b**2 - 23*b + 11. Let k(a) = -4*c(a) - 7*n(a). Factor k(p).
-2*(p - 1)**4
Let z(o) be the third derivative of 5*o**6/96 + 17*o**5/48 + 5*o**4/6 + 5*o**3/6 - 5*o**2. Solve z(c) = 0 for c.
-2, -1, -2/5
Let m(c) = -c**5 - c**4 + c**3 + 1. Let u = 0 - 1. Let z(g) = 7*g**5 + 5*g**4 - 6*g**3 - 6. Let h(k) = u*z(k) - 6*m(k). Solve h(d) = 0 for d.
0, 1
Suppose 5*t + 16 = 4*c, c + 20 = -4*t + 6*c. Suppose 5*x + t = 10. Find j, given that -j**2 + 0 - j**x + 2 = 0.
-1, 1
Let l(c) be the second derivative of -c**6/15 - c**5/10 + c**4/6 + c**3/3 + 5*c + 2. Find z such that l(z) = 0.
-1, 0, 1
Let v(l) be the third derivative of -8*l**7/21 + 3*l**6 - 11*l**5/4 + 5*l**4/6 - 29*l**2. What is p in v(p) = 0?
0, 1/4, 4
Let x(r) be the first derivative 