 - 8/7 + 0*j = 0. What is j?
-1, 2
Let z(p) be the first derivative of p**5 - p**4/2 - 5*p**3/3 + p**2 - 9. Factor z(o).
o*(o - 1)*(o + 1)*(5*o - 2)
Let a(z) = -3*z**2 - 3*z + 2*z**2 + 1 - 3*z**2 + z**2. Let c(h) = -8*h**2 - 8*h + 2. Let i(p) = 14*a(p) - 5*c(p). Determine t so that i(t) = 0.
-2, 1
Let b(m) = -12*m - 12. Let x(d) = d**2. Let s(c) = -24*c - 24. Let w(h) = s(h) + x(h). Let o(t) = 7*b(t) - 3*w(t). Let o(n) = 0. What is n?
-2
Let b(g) be the first derivative of 4*g**3/3 - 2*g**2 + g - 7. Factor b(h).
(2*h - 1)**2
Factor 2*m**3 + 6*m**2 - m - 16*m**2 + 8*m**2 - m + 2.
2*(m - 1)**2*(m + 1)
Let g = 14 - 11. Let b(s) be the first derivative of -1/3*s**g + 1 - 1/4*s + 1/2*s**2. Factor b(d).
-(2*d - 1)**2/4
Let x be (-166)/(-35) - (-4)/(-28). Let h = -151/35 + x. Suppose 4/7*u**3 - 4/7*u**2 - 2/7*u**5 - 2/7*u + 2/7*u**4 + h = 0. What is u?
-1, 1
Let v be 1/2*9*(-8)/(-20). Let t(o) be the first derivative of 9/4*o**4 + o**3 + 1/2*o**6 + 0*o**2 + v*o**5 - 2 + 0*o. Factor t(w).
3*w**2*(w + 1)**3
Find u, given that -5*u**3 + 4*u**3 - 43*u**2 + 37*u**2 = 0.
-6, 0
Let y(h) be the first derivative of -h**3/3 + h + 4. Factor y(f).
-(f - 1)*(f + 1)
Let u be (-2)/4 + (-159)/(-6). Suppose u = 5*p - c, 0*c = 4*p + c - 19. Factor 0*i + 0 + 18/7*i**p + 6/7*i**4 - 8/7*i**2 - 16/7*i**3.
2*i**2*(i - 1)*(3*i + 2)**2/7
Let x be (-54)/(-12) - (-2)/4. Find a, given that -6*a**2 + 3*a + 4*a**2 - x*a = 0.
-1, 0
Factor 4/13*f**2 + 0 + 0*f**4 - 2/13*f**5 + 0*f + 6/13*f**3.
-2*f**2*(f - 2)*(f + 1)**2/13
Let z = -2594/195 + 4/39. Let s = 68/5 + z. Factor 6/5*v - s*v**2 - 4/5.
-2*(v - 2)*(v - 1)/5
Let i(q) be the second derivative of q**7/42 - 2*q**6/15 + 3*q**5/10 - q**4/3 + q**3/6 + q. Let i(m) = 0. Calculate m.
0, 1
Suppose 3 = -2*y + 15. Factor -2*p**2 + y*p**2 - 2 - p**3 - 2*p**4 + p**3.
-2*(p - 1)**2*(p + 1)**2
Suppose -5*u - 62 = -3*g, 4*g + 0*u = -5*u + 36. Let h = g + -11. Factor 0 + 0*s + 2/5*s**2 - 2/5*s**h.
-2*s**2*(s - 1)/5
Let t(q) = 2*q**2 + q - 1. Let c = -1 + -2. Let k(s) = -5*s**2 - s + 1. Let f(v) = c*k(v) - 7*t(v). Find a, given that f(a) = 0.
2
Let u(n) = -3*n**2 + 9*n - 6. Let v = 3 - -5. Let t(x) = -x**2 + 3*x - 2. Let r(p) = v*t(p) - 3*u(p). Factor r(l).
(l - 2)*(l - 1)
Let s(j) = 4*j**2 - 2*j - 4. Let a(w) = -13*w**2 + 7*w + 13. Let u be (1/(-3))/(2/(-24)). Suppose -n - u = 3. Let i(g) = n*s(g) - 2*a(g). Factor i(k).
-2*(k - 1)*(k + 1)
Let u(x) be the third derivative of -x**6/36 + x**5/45 + 5*x**4/36 - 2*x**3/9 - 2*x**2. Suppose u(n) = 0. Calculate n.
-1, 2/5, 1
Let t(i) = i**2 - 6*i + 9. Let g be t(8). Suppose 7 - g = -6*h. Factor 1/3*k**4 + 0 + 0*k**h - 1/3*k**2 + 0*k.
k**2*(k - 1)*(k + 1)/3
Suppose 1 = 2*k + 7. Let t = k + 5. Factor -3/2*q + 3/2*q**t - 3.
3*(q - 2)*(q + 1)/2
Let h = 43/75 + -6/25. Let n(v) be the first derivative of 0*v**2 + 0*v + h*v**3 - 1/5*v**5 + 0*v**4 + 3. What is f in n(f) = 0?
-1, 0, 1
Suppose 4*u - 16 = -5*b + 4, 2*b - 8 = 4*u. Factor 3/2*w**2 + 1/2*w**b + 0 + 1/2*w + 3/2*w**3.
w*(w + 1)**3/2
Let y(x) be the second derivative of 0 - 3/2*x**4 + 6*x - 5/6*x**3 - 1/5*x**5 + x**2 + 3/14*x**7 + 8/15*x**6. Suppose y(s) = 0. Calculate s.
-1, 2/9, 1
Let b(g) be the second derivative of 0*g**2 + 0 + 0*g**3 + 1/10*g**5 + 0*g**4 + 2*g. Suppose b(v) = 0. What is v?
0
Let z(w) = w**2 - 7*w - 4. Let x be z(8). Determine h so that 2*h - 30*h**2 - h**3 + 4*h**3 + x + 35*h**3 - 14*h**4 = 0.
-2/7, 1
Determine y so that 0 + y + 1/3*y**3 + 5/3*y**2 - 1/3*y**4 = 0.
-1, 0, 3
Suppose 0 = -14*b + 8*b. Find u such that -2/3*u + 1/3*u**2 + b + 1/3*u**3 = 0.
-2, 0, 1
Let c(n) = -15*n**2 + 12*n + 3. Let x(o) = 8*o**2 - 6*o - 2. Let q(h) = -5*c(h) - 9*x(h). Determine j so that q(j) = 0.
1
Let j be (18/15)/((-2)/(-5)). Let l be (1 - -1) + j + -2. Factor 8/7 - 6/7*w**2 + 0*w + 2/7*w**l.
2*(w - 2)**2*(w + 1)/7
Find r such that -2/3*r**3 + 1/3*r**5 - 2/3 + 1/3*r + 4/3*r**2 - 2/3*r**4 = 0.
-1, 1, 2
Let z(s) be the second derivative of -s**5/130 + 2*s**4/39 - 5*s**3/39 + 2*s**2/13 + 4*s. Let z(t) = 0. What is t?
1, 2
Let v(c) be the first derivative of 5*c**4/4 - c**3/3 - 5*c**2/2 + c + 72. Factor v(b).
(b - 1)*(b + 1)*(5*b - 1)
Let h(v) = v**2 + 3*v + 2. Let n(t) = -2*t**2 - 6*t - 4. Let c(j) = 7*h(j) + 4*n(j). Factor c(x).
-(x + 1)*(x + 2)
Let p(z) be the first derivative of -z**3/15 - z**2/5 - 10. Factor p(h).
-h*(h + 2)/5
Let d = -9509/30 + 317. Let p(x) be the third derivative of 0*x + 0*x**3 - 2*x**2 - d*x**5 + 0 - 1/12*x**4. Solve p(y) = 0.
-1, 0
Factor -9*o + 23*o + 4*o**2 - 4*o**4 - 14*o.
-4*o**2*(o - 1)*(o + 1)
Solve 7*a**3 - 2*a**3 - 4*a - a**3 = 0 for a.
-1, 0, 1
Factor -8*i**2 - 1/2 - 4*i.
-(4*i + 1)**2/2
Let p(q) = q**2 + 2. Let b be p(0). Factor 41*u**3 + u**2 + 55*u**3 + 2*u**5 + 127*u**b + 24*u**4.
2*u**2*(u + 4)**3
Let z(u) be the second derivative of u**7/126 - u**6/45 - u**5/60 + u**4/18 + 6*u. Determine x, given that z(x) = 0.
-1, 0, 1, 2
Let f(t) = 2*t**2 - 19*t + 12. Let h be f(9). Let 0 + 8/3*o - 4/3*o**2 - 68/3*o**h - 56/3*o**4 = 0. Calculate o.
-1, -1/2, 0, 2/7
Factor -8*u**3 + 2833*u**4 - 2833*u**4 + 2*u**5.
2*u**3*(u - 2)*(u + 2)
Let v(y) be the third derivative of -1/6*y**4 + 1/3*y**3 + 0 + 0*y - 5*y**2 + 1/30*y**5. Suppose v(g) = 0. What is g?
1
Determine l so that -5*l**5 - 6*l**2 - 6*l**3 - l + 10*l**2 + 4*l**5 + 4*l**4 = 0.
0, 1
Let z(v) be the first derivative of 1/8*v**2 + 2 + 0*v - 1/12*v**3 + 1/20*v**5 - 1/16*v**4. Suppose z(t) = 0. What is t?
-1, 0, 1
Factor 2/9 + 4/9*v**5 + 2*v**4 + 28/9*v**2 + 4/3*v + 32/9*v**3.
2*(v + 1)**4*(2*v + 1)/9
Let z be -2 - (3 - (-1204)/(-240)). Let v(p) be the third derivative of 1/48*p**4 + z*p**6 + 3*p**2 + 0*p + 0*p**3 - 1/24*p**5 + 0. Factor v(u).
u*(u - 1)*(4*u - 1)/2
Let -4/5 - 2*a - 8/5*a**2 - 2/5*a**3 = 0. Calculate a.
-2, -1
Let w(r) be the third derivative of 0*r + 1/270*r**5 - 3*r**2 + 4/27*r**3 + 0 - 1/27*r**4. Factor w(v).
2*(v - 2)**2/9
Let s(m) be the first derivative of -m**6/27 - 4*m**5/45 + 4*m**3/27 + m**2/9 - 1. What is f in s(f) = 0?
-1, 0, 1
Let o be (-3)/(-9) - 4/84. Determine f so that 2/7*f**4 + 0*f**3 + 0*f**2 + 0 + 0*f + o*f**5 = 0.
-1, 0
Let t(n) be the second derivative of -n**7/10080 - n**6/480 - 3*n**5/160 - n**4/2 - 4*n. Let u(h) be the third derivative of t(h). Factor u(r).
-(r + 3)**2/4
Let i(s) be the second derivative of 1/24*s**3 - 3*s - 1/48*s**4 + 0 + 1/4*s**2. Solve i(x) = 0 for x.
-1, 2
Factor 0*o + 21/2*o**3 + 15/2*o**4 + 0 + 3*o**2.
3*o**2*(o + 1)*(5*o + 2)/2
Let m = 3 + -4. Let d(s) = -8*s**2 - 8*s. Let o(i) = -i**3 + i**2 + i - 1. Let x(r) = m*d(r) - 2*o(r). Suppose x(q) = 0. Calculate q.
-1
Let l = 6 + -4. Let u(y) = y**2 + 4*y + 7. Let v be u(-2). Factor 0*f + 0 - 1/3*f**v + 2/3*f**l.
-f**2*(f - 2)/3
Let f(k) = -k**3 - k**2 - k + 3. Let z be f(1). Let t(q) be the first derivative of z*q**2 + 2/9*q**3 - 2/3*q - 2. Determine h, given that t(h) = 0.
-1, 1
Let d = 374/3 + -122. Factor 4/3*w**2 - d + 4/3*w.
4*(w - 1)*(w + 2)/3
Let k(s) = 2*s**4 + 6*s**3 + 6*s**2 - 6*s + 8. Let g(i) = i**3 + i**2 - 4 + 5 + 0 + 0*i - i. Let l(v) = -8*g(v) + k(v). Factor l(a).
2*a*(a - 1)**2*(a + 1)
Factor 0 + 5/4*p - 1/4*p**2.
-p*(p - 5)/4
Suppose -2*p = p + 5*q - 12, -5*p - 5*q = -20. Factor 2 + 30*v**3 - 4*v**4 + 15*v**4 + 15*v + 1 + 3*v**5 + 30*v**2 + p*v**4.
3*(v + 1)**5
Suppose -3*r = 3*n + 3, 5*n + 11 - 3 = -4*r. Find d, given that d**4 + 2*d**2 - 15 + 15 + 3*d**r = 0.
-2, -1, 0
Factor 9/4 + 3/4*z**2 + 3*z.
3*(z + 1)*(z + 3)/4
Suppose -5*v - 7 - 9 = -4*g, 0 = -2*v. Let s(n) be the second derivative of 0*n**2 - 3*n + 0 - 1/6*n**g - 1/3*n**3. Solve s(m) = 0.
-1, 0
Let d(v) be the third derivative of -v**7/945 - v**6/270 + v**5/270 + v**4/54 - 8*v**2. Factor d(f).
-2*f*(f - 1)*(f + 1)*(f + 2)/9
Let n(b) = b**3 - 7*b. Let j(u) = u. Let x(p) = -14*j(p) - 2*n(p). Let x(t) = 0. Calculate t.
0
Let b(i) be the second derivative of 0 + 1/6*i**3 - 2*i + 0*i**2 - 1/3*i**4 + 2/15*i**6 - 1/20*i**5. Find a, given that b(a) = 0.
-1, 0, 1/4, 1
Suppose 3*h - 9 - 6 = 0. Let u(w) = -w**3 + 5*w**2 + 2. Let i be u(h). Solve 2/7*g**i + 8/7*g + 8/7 = 0.
-2
Suppose -2*z - 3*x + 4 = -2, 0 = -2*z - 2*x + 4. Solve 0*i + 2/3*i**2 + z = 0 for i.
0
Suppose -7*d + 28 = -3*d. Factor h**2 + h**2 - 3 + d + 4*h - 2.
2*(h + 1)**2
Factor 0*i + 0 + 2/9*i**2.
2*i**2/9
Let u(s) be the 