Determine j, given that 1/3*j**4 + 4/3*j**2 + x + 0*j + 4/3*j**3 = 0.
-2, 0
Let j be (18/(-5))/((-6)/45). Let u = j - 53/2. Factor 1/2*h**3 + u*h**2 + 1/6*h**4 + 1/6*h + 0.
h*(h + 1)**3/6
Let y(w) = w**3 + 4*w**2 + 4*w + 10. Let j be y(-4). Let b be 9*(1 + j/8). Find o, given that b*o**2 - 3/2 + 3/4*o = 0.
-1, 2/3
Let u(k) be the third derivative of k**7/140 + k**6/240 + 21*k**2. Suppose u(y) = 0. What is y?
-1/3, 0
Let u = -320/99 - -38/11. Let j(i) = i**2 + 14*i - 28. Let a be j(-16). Determine b, given that -4/3*b**2 - 8/9*b**3 - 2/9 - u*b**a - 8/9*b = 0.
-1
Let x(v) be the third derivative of -v**10/151200 + v**9/60480 - v**5/10 + v**2. Let m(i) be the third derivative of x(i). Let m(b) = 0. What is b?
0, 1
Let p be 20/7 - ((-45)/(-15) - 1). Factor 0 - 9/7*l**3 + 15/7*l**2 - p*l - 3/7*l**4 + 3/7*l**5.
3*l*(l - 1)**3*(l + 2)/7
Let n = 14 + -14. Let j(a) be the third derivative of 0*a**3 + 0*a + n*a**4 + 0 + a**2 - 1/210*a**5. Solve j(d) = 0.
0
Let g(i) be the third derivative of 0*i**4 - 1/60*i**5 + i**2 + 0*i + 0 - 1/180*i**6 + 1/6*i**3. Let k(m) be the first derivative of g(m). Factor k(d).
-2*d*(d + 1)
Let o = 8 - 4. Factor -2*d**4 - 8*d**3 + 3*d**5 + 2*d**o + 5*d**3.
3*d**3*(d - 1)*(d + 1)
Let b(s) = -s + 2. Let h be b(11). Let i(y) = 8*y**3 - 15*y**2 + 15*y - 17. Let m(z) = 2*z**3 - 4*z**2 + 4*z - 4. Let x(v) = h*m(v) + 2*i(v). Factor x(f).
-2*(f - 1)**3
Suppose u = 5, -5*j - u + 2 = -3. Let v(m) be the third derivative of 1/84*m**4 + 2/21*m**3 + j - 1/210*m**5 + 0*m - 2*m**2. Suppose v(q) = 0. What is q?
-1, 2
Let b(t) be the second derivative of t**5/30 + 4*t**4/9 + 13*t**3/9 + 2*t**2 - 2*t + 13. Let b(r) = 0. Calculate r.
-6, -1
Let v(n) be the third derivative of n**5/12 + n**4/12 + 5*n**3/6 - 2*n**2. Let s(c) = c**2 + c + 1. Let k(o) = -4*s(o) + v(o). Factor k(b).
(b - 1)**2
Let g(o) = o**3 - 6*o**2 + o + 4. Let v be g(6). Factor v*r**2 + 4*r**3 + r + 3*r + 0*r**3 - 2*r**2.
4*r*(r + 1)**2
Suppose -34*g = -25*g. Suppose -1/6 + 1/6*b**2 + g*b = 0. Calculate b.
-1, 1
Factor -1 + 4*g**2 - 9*g - 5*g**2 + 3*g - 8.
-(g + 3)**2
Let d(t) be the second derivative of 0*t**2 + 0 - 7*t + 2/3*t**3 + 0*t**4 - 1/5*t**5. Factor d(v).
-4*v*(v - 1)*(v + 1)
Let j be (6/(-20))/(168/(-140)). Determine m, given that 0 - 1/4*m + j*m**2 = 0.
0, 1
Find d, given that -2*d**3 + 4*d**3 - 5*d**2 + 3*d**2 = 0.
0, 1
Let a = -9 - -12. Let n(u) be the first derivative of -u + 1 + u**4 - 2*u**2 + 1/3*u**a. Factor n(t).
(t - 1)*(t + 1)*(4*t + 1)
Suppose 11/6*n**3 + 2*n**2 + 0 + 1/2*n**4 + 2/3*n = 0. Calculate n.
-2, -1, -2/3, 0
Let a(y) be the second derivative of 0 + 0*y**4 + 0*y**2 - y - 1/2*y**3 + 1/900*y**6 - 1/150*y**5. Let v(l) be the second derivative of a(l). Factor v(c).
2*c*(c - 2)/5
Let c = -746/3 + 251. Find w such that -c*w**2 + 5/3*w**3 - 8/3*w + 4/3 = 0.
-1, 2/5, 2
Let z(q) be the third derivative of 4*q**2 - 2/3*q**3 - 1/30*q**5 + 0 - 1/4*q**4 + 0*q. Factor z(b).
-2*(b + 1)*(b + 2)
Factor -20/3*g**2 + 4/3*g**3 + 28/3*g - 4.
4*(g - 3)*(g - 1)**2/3
Let a(x) be the second derivative of x**4/9 + 8*x**3/9 - 38*x. Factor a(v).
4*v*(v + 4)/3
Let a(j) be the first derivative of -2 + 0*j - 4/3*j**3 - j**2 - 1/2*j**4. Find m, given that a(m) = 0.
-1, 0
Let c be (-3)/(-1620)*(-9)/(-6). Let i(a) be the third derivative of 0 - c*a**6 + a**2 + 0*a + 1/90*a**5 + 0*a**3 + 0*a**4. Factor i(w).
-w**2*(w - 2)/3
Let v(s) be the second derivative of 2*s**2 - 2/3*s**3 + 0 + 1/5*s**5 + 3*s - 1/3*s**4. Find b such that v(b) = 0.
-1, 1
Let o(t) be the first derivative of -t**3/5 + 9*t**2/5 - 27*t/5 - 11. Factor o(h).
-3*(h - 3)**2/5
Let s = 8 - 5. Let y(b) be the second derivative of 1/42*b**7 - 1/30*b**6 - 1/20*b**5 + 0 + 0*b**3 + 1/12*b**4 + 0*b**2 - s*b. Solve y(q) = 0.
-1, 0, 1
Let 38/9*f**3 + 0*f - 4/9*f**2 - 88/9*f**4 + 0 = 0. What is f?
0, 2/11, 1/4
Let l(k) = 3*k**2 + 10*k - 16. Let v(q) = -4*q**2 - 11*q + 14. Let s(p) = 6*l(p) + 4*v(p). Factor s(a).
2*(a - 2)*(a + 10)
Let k(l) = l**3 - 4*l**2 - 6*l + 6. Let g be k(5). Let p be (-3)/12 + g/4. Factor p + 2/3*r - 2/3*r**4 + 2*r**3 - 2*r**2.
-2*r*(r - 1)**3/3
Let x = 228321/5 - 45522. Let c = x + -140. What is z in -z**2 + 54/5*z**5 - 2/5 - 9*z**3 + 27/5*z**4 + c*z = 0?
-1, -2/3, 1/3, 1/2
Let y be -4 + (-6 + -1 - -16)/2. Suppose -1/2 + 0*c**3 + c**2 - y*c**4 + 0*c = 0. Calculate c.
-1, 1
Let z(w) be the second derivative of w**5/20 - w**4/12 + 4*w. Factor z(a).
a**2*(a - 1)
Solve 28*c**4 + 16*c**2 + 0*c**3 - 12*c**3 - 9*c**3 - 23*c**3 = 0 for c.
0, 4/7, 1
Let l(r) be the first derivative of 2*r**3/3 - r**2 - 1. Suppose l(c) = 0. Calculate c.
0, 1
Let p(u) = 20*u**3 + 4*u**2 - 24*u. Let v(m) = 4*m**3 + m**2 - 5*m. Let o(f) = 3*p(f) - 16*v(f). Factor o(z).
-4*z*(z - 1)*(z + 2)
Let v be (-378)/(-148) - (-3)/(-1). Let b = 2/37 - v. Find k such that b*k**2 + 1/4*k - 1/4 = 0.
-1, 1/2
Suppose 3*a + a**5 + 5*a**2 - 4*a**4 - 2*a**3 - a**2 - 2*a**5 = 0. What is a?
-3, -1, 0, 1
Suppose 0 = 4*j - 2 + 18. Let q be (-1)/(1*j/12). Determine l so that 7/2*l + q*l**2 - 4*l**4 - 3/2*l**5 - 2*l**3 + 1 = 0.
-1, -2/3, 1
Let p(l) = -l**2 - 11*l + 12. Let r be p(-12). Let s = r + 2. Solve 1/2 + 1/2*d**s + d = 0 for d.
-1
Let b(g) = -12*g**4 + 3*g**3 + 2*g**2 + 7. Let q(i) = -11*i**4 + 4*i**3 + i**2 + 6. Let x(n) = -6*b(n) + 7*q(n). Let x(s) = 0. What is s?
0, 1
Suppose 0 = -d - 2*d + 12. Suppose -5*q + 12 = d*p + 4, 2*q - 2 = -p. Suppose q*z**2 + 0 - 1/6*z + 1/6*z**3 = 0. What is z?
-1, 0, 1
Suppose 5*l + 2*z - 2 = 0, -4*l - z = -2*l. Let 2*d + 0*d + l*d - 2*d + 48*d**3 + 72*d**4 - 22*d**2 = 0. What is d?
-1, 0, 1/6
Suppose -4*b - 2*q - 104 = 2*q, -25 = b + 2*q. Let u be (3/(-9))/(3/b). Let 12*r + 7 + 0 - u + 9*r**2 = 0. Calculate r.
-2/3
Let l(r) = 4*r**3 + 2*r**2 + 2*r + 2. Let z(y) be the first derivative of 9*y + 8/3*y**3 + 9/2*y**2 + 17/4*y**4 - 4. Let n(g) = 9*l(g) - 2*z(g). Factor n(t).
2*t**2*(t + 1)
Let k(z) be the third derivative of 5*z**8/6048 + z**7/378 + z**6/270 - z**5/15 + 2*z**2. Let d(g) be the third derivative of k(g). Factor d(w).
2*(5*w + 2)**2/3
Let q(p) = 13*p**3 + 17*p**2 + 13*p. Let w(a) = -3*a**3 - 4*a**2 - 3*a. Let g(c) = -2*q(c) - 9*w(c). Find u such that g(u) = 0.
-1, 0
Let t(l) = -l**2 - 7*l - 2. Let c be t(-6). Suppose c*i - 2*i = 0. Suppose i*f - 4/3*f**3 + 0 - 2/3*f**4 - 2/3*f**2 = 0. What is f?
-1, 0
Let i(p) be the third derivative of -p**8/10080 + p**7/3780 - p**4/4 - 6*p**2. Let f(x) be the second derivative of i(x). Factor f(z).
-2*z**2*(z - 1)/3
Let h(n) be the first derivative of 1/8*n**4 + 3/20*n**5 - 3/8*n**2 + 4 - 1/4*n - 1/6*n**3 + 1/24*n**6. Find i such that h(i) = 0.
-1, 1
Let u be (-19 + 8 + -4)*(-2)/25. Determine w so that 3/5 - u*w + 3/5*w**2 = 0.
1
Let q = 9/14 - -6/7. Factor -4*k**2 + 5/2*k**4 - k**3 + q + k.
(k - 1)**2*(k + 1)*(5*k + 3)/2
Let z(d) = -d**2 - 7*d + 4. Let i be z(-7). Let 0*o + 2 + i*o - 4*o - 2*o**2 = 0. Calculate o.
-1, 1
Factor -1/8*j + 1/8*j**2 - 1/4.
(j - 2)*(j + 1)/8
Let b = 88/7 + -86/7. Determine k so that b*k**2 + 2/7*k - 4/7 = 0.
-2, 1
Let o be (7/(-21))/(3/18*-1). Let f(x) be the second derivative of 0 - 1/4*x**4 + 9/10*x**5 + 0*x**3 + 2/7*x**7 + o*x + 0*x**2 - 9/10*x**6. Factor f(p).
3*p**2*(p - 1)**2*(4*p - 1)
Let v(o) be the second derivative of o**4/16 + 9*o**3/8 + 3*o**2 + 3*o - 4. Factor v(s).
3*(s + 1)*(s + 8)/4
Let b = -3/14 + 37/42. Solve 2/3 - b*h**2 + 0*h = 0 for h.
-1, 1
Factor -1/4*k**3 + 0 - 1/4*k - 1/2*k**2.
-k*(k + 1)**2/4
Let m(z) = -3*z - 4. Let f be m(-4). Let c = f - 5. Factor -j + 3 + j**3 + 2*j**2 - j**2 - c - 1.
(j - 1)*(j + 1)**2
Let r(a) be the first derivative of -1/2*a**2 - 1/6*a**3 + 3/2*a - 1. Factor r(h).
-(h - 1)*(h + 3)/2
Let z be 3/3 + 0 - -1. Let i = z - -4. Let -i*g + 8*g**2 - 10/3*g**3 + 4/3 = 0. Calculate g.
2/5, 1
Let j(g) = g**5 - g**4 + g**2. Let f(d) be the second derivative of -4*d**7/21 + d**6/5 + 3*d**5/20 - 5*d**4/6 + 3*d. Let h(t) = -2*f(t) - 18*j(t). Factor h(w).
-2*w**2*(w - 1)**3
Let m = -30/121 - -3809/15851. Let f = m + 397/524. Solve 0 - 3/4*k**3 + f*k**5 - 1/4*k**4 + 0*k + 1/4*k**2 = 0 for k.
-1, 0, 1/3, 1
Let r(a) be the third derivative of a**8/560 + a**7/70 + a**6/25 + a**5/25 + 8*a**2. Factor r(m).
3*m**2*(m + 1)*(m + 2)**2/5
Suppose -x = -3*t - 7, -5*t - 42 = 4*x - 3*t. Let b be (-2)/x + 2 + -2. Suppose 1