 = 5*b + 16, -3*g - 2*b + 2 = 0. Factor -3*x - g*x**2 - 1 - x - 1.
-2*(x + 1)**2
Factor -1 + n - 4 + 7*n + 1 - 4*n**2.
-4*(n - 1)**2
Let k = 19 - 12. Let j be (-1)/1 + k + -4. Factor 4 + 2*d**3 - 3 - j*d + 2*d**2 - 3.
2*(d - 1)*(d + 1)**2
Let u = -30/11 + 911/330. Let y(b) be the third derivative of -1/60*b**6 + b**2 + 1/105*b**7 - u*b**5 + 0*b + 0 + 1/12*b**4 + 0*b**3. Factor y(w).
2*w*(w - 1)**2*(w + 1)
Let l(t) be the third derivative of t**6/540 - t**5/180 - t**3 - 5*t**2. Let o(f) be the first derivative of l(f). Factor o(u).
2*u*(u - 1)/3
Let l(a) be the first derivative of -a**3/3 + 7*a**2/2 + 3. Let o be l(6). Find c, given that -o*c + 2*c + 3*c + c**2 = 0.
0, 1
Factor -2/3*g**2 + 2/3 + 0*g.
-2*(g - 1)*(g + 1)/3
Let k = -801/2 + 401. Determine w so that 0 - k*w**5 + 0*w**2 + 0*w**4 + w**3 - 1/2*w = 0.
-1, 0, 1
Let x(g) be the second derivative of 0*g**2 + 0 - g + 1/27*g**3 + 1/54*g**4. Factor x(j).
2*j*(j + 1)/9
Let m(r) be the first derivative of r**5/40 + r**4/8 - r**2 + 3*r + 3. Let j(o) be the first derivative of m(o). Let j(s) = 0. What is s?
-2, 1
Let k(c) = -6*c - 57. Let x be k(-10). Determine r, given that 2/7*r**4 + 0*r + 4/7*r**2 + 6/7*r**x + 0 = 0.
-2, -1, 0
Let m(r) be the second derivative of r**5/90 + 18*r. Solve m(w) = 0.
0
Let p be 2 - ((-4)/(-8))/((-1)/2). Let r(h) be the first derivative of -3 + 0*h**2 - 2/15*h**p + 0*h. Factor r(x).
-2*x**2/5
Let h(j) be the third derivative of j**8/1008 - j**6/180 + j**4/72 - 7*j**2. Factor h(t).
t*(t - 1)**2*(t + 1)**2/3
Let a(x) be the second derivative of x**2 - 1/30*x**5 + x - 1/12*x**4 + 0 + 0*x**3. Let o(t) be the first derivative of a(t). Factor o(s).
-2*s*(s + 1)
Suppose 0*w + 150/7*w**5 - 220/7*w**4 + 0 - 16/7*w**2 + 104/7*w**3 = 0. Calculate w.
0, 2/5, 2/3
Let f(h) be the third derivative of h**7/70 - h**6/10 + h**5/4 - h**4/4 - 13*h**2. Factor f(v).
3*v*(v - 2)*(v - 1)**2
Let j be 6/300*5/8. Let x(g) be the second derivative of 0*g**2 - 1/48*g**4 + 0 - 1/12*g**3 + j*g**5 + g. What is z in x(z) = 0?
-1, 0, 2
Let m(y) be the first derivative of 3*y**5/10 - y**4/4 - 2*y**3/3 + y**2/2 + y/2 - 3. Let m(p) = 0. Calculate p.
-1, -1/3, 1
Let g(m) be the third derivative of m**6/12 - m**5/15 - 5*m**4/12 + 2*m**3/3 + 2*m**2. Factor g(v).
2*(v - 1)*(v + 1)*(5*v - 2)
Let 7*w - 13*w**4 + 0*w**3 + 14*w**4 - 11*w + 3*w**3 = 0. Calculate w.
-2, 0, 1
Let c(i) = 10*i**3 - 24*i**2 + 18*i - 7. Let w be (-2)/(-1)*14/4. Let t(u) = 20*u**3 - 48*u**2 + 36*u - 15. Let q(l) = w*c(l) - 3*t(l). Factor q(x).
2*(x - 1)**2*(5*x - 2)
Solve -20/3*j**5 + 0 - 28/3*j**4 + 8/3*j + 4*j**3 + 28/3*j**2 = 0.
-1, -2/5, 0, 1
Let c = -6 - -9. Determine a so that 2*a**3 - 2*a**3 - a**4 + 4*a**3 - 5*a**c = 0.
-1, 0
Let o = 4 + 0. Let c be (4/(-6))/(o/(-18)). Factor -4*q**2 + q - q**2 - c*q.
-q*(5*q + 2)
Let a = -696/7 + 100. Find l, given that -2/7 + a*l - 2/7*l**2 = 0.
1
Factor 2/11*n**2 - 6/11 + 4/11*n.
2*(n - 1)*(n + 3)/11
Let l(v) be the second derivative of v**5/20 - v**3/2 + v**2 + 6*v. Suppose l(s) = 0. Calculate s.
-2, 1
Suppose 2*p - f = 8, 0 = -4*f - 12 - 4. Factor -2/9*q**3 + 0*q**p + 8/9*q**4 + 0*q + 0.
2*q**3*(4*q - 1)/9
Let c be 6/(-27) + 194/9. Let q = 22 - c. Factor -4/3*x - q*x**4 + 0 - 1/3*x**5 + 4/3*x**2 + x**3.
-x*(x - 1)**2*(x + 2)**2/3
Suppose 3*a - 20 = -4*o - a, -4*o + 19 = 3*a. Factor 6/7*r**o + 2/7*r**5 + 4/7*r**3 - 6/7*r - 2/7 - 4/7*r**2.
2*(r - 1)*(r + 1)**4/7
Let c(g) = g**2 - 8*g + 3. Let w be c(8). Factor -w*l**4 - 3*l + l**3 + 2*l**3 - 2 + 2 + 3*l**2.
-3*l*(l - 1)**2*(l + 1)
Let k(r) be the first derivative of -r**7/840 + r**6/720 + r**5/120 - r**4/48 - 4*r**3/3 + 2. Let y(a) be the third derivative of k(a). What is j in y(j) = 0?
-1, 1/2, 1
Let s(a) be the second derivative of -a**7/1050 + a**5/300 - 3*a**2 + 6*a. Let t(z) be the first derivative of s(z). Determine j, given that t(j) = 0.
-1, 0, 1
Let u(v) be the second derivative of -3*v**5/10 - 11*v**4/8 - 5*v**3/4 + 3*v**2/2 - 4*v. Find f, given that u(f) = 0.
-2, -1, 1/4
Let j(z) = 16*z**3 + 29*z**2 + 36*z - 7. Let n(q) = -5*q**3 - 10*q**2 - 12*q + 2. Let b(o) = -2*j(o) - 7*n(o). Suppose b(c) = 0. What is c?
-2, 0
Let k be 2*(-15)/48*(-6)/15. Let z(p) be the third derivative of 1/60*p**6 + k*p**4 + 0 - 1/10*p**5 + 0*p - 1/3*p**3 + 2*p**2. Suppose z(g) = 0. What is g?
1
Suppose -2*l + 6*l**2 - 4*l + 6*l - 3*l**3 = 0. Calculate l.
0, 2
Suppose -4 = -r - r - 4*n, 3*n = 4*r - 8. Solve -3/4*v + 1/4*v**3 + 0*v**r - 1/2 = 0.
-1, 2
Let c(o) = 12*o. Let i be c(5). Solve -42*g**5 - 29*g**5 + 22*g**3 - 24*g**2 - 8*g + i*g**4 + 8*g**5 + 13*g**5 = 0 for g.
-2/5, 0, 1
Let s(t) be the third derivative of -t**6/50 - t**5/100 + 41*t**2. Factor s(d).
-3*d**2*(4*d + 1)/5
Factor -5/3*a**3 - 22/3*a**2 - 8/3 - 28/3*a.
-(a + 2)**2*(5*a + 2)/3
Let l = -1627/9 - -181. Factor 0 + 2/9*w + l*w**3 + 4/9*w**2.
2*w*(w + 1)**2/9
Let p(s) be the first derivative of 2/9*s + 1 + 0*s**2 - 2/27*s**3. Let p(a) = 0. Calculate a.
-1, 1
Let k = 1/344 + 171/344. Factor w - 1/2 - k*w**2.
-(w - 1)**2/2
Let o(i) = i**2 + 12*i + 7. Let t be o(-11). Let p = -2 - t. Factor 0*j**4 + 3*j**2 - 5*j**p + 6*j**4 - 8*j**3 + 4*j.
2*j*(j - 1)**2*(3*j + 2)
Suppose -54*n = -53*n - 3. Solve -1/8*c**5 + 5/8*c**4 + 1/2*c**2 - c**n + 0*c + 0 = 0 for c.
0, 1, 2
Let f(m) = -m**4 + m**3 + m**2. Let l(z) = -6*z**5 + 16*z**4 - 12*z**3 - 16*z**2. Let y(u) = -36*f(u) - 2*l(u). Determine c, given that y(c) = 0.
-1, -1/3, 0, 1
Suppose 14/9*u + 2/9*u**3 + 2/3 + 10/9*u**2 = 0. What is u?
-3, -1
Factor -6*v**4 - 9*v**2 + 3*v**4 + 15*v**3 + 0*v**2 - 3*v**5.
-3*v**2*(v - 1)**2*(v + 3)
Let n(z) = -z**4 + z**3. Let l be (2 - 1) + -2 + 3. Let k(p) = -3*p**4 + 3*p**3 + 3*p**2 - p - 2. Let u(f) = l*k(f) - 4*n(f). Factor u(s).
-2*(s - 2)*(s - 1)*(s + 1)**2
Factor -5*c**2 - 2 + 4 + 0*c - 5*c + 8.
-5*(c - 1)*(c + 2)
Let s(y) be the first derivative of -y**5/130 - y**4/39 - y**3/39 + 6*y + 2. Let m(j) be the first derivative of s(j). Find r such that m(r) = 0.
-1, 0
Let -2/5*r**2 - 8/5 - 2*r = 0. What is r?
-4, -1
Let b = 418/3 - 161. Let n = 22 + b. Find f such that -1/3*f + 0 + 1/3*f**3 - 1/3*f**2 + n*f**4 = 0.
-1, 0, 1
Let q(j) be the second derivative of j**6/210 + j**5/70 - j**3/21 - j**2/14 - 8*j - 2. Suppose q(y) = 0. What is y?
-1, 1
Factor -1/4*g + 0 + 1/4*g**3 + 0*g**2.
g*(g - 1)*(g + 1)/4
Let z = 0 + 3. Let g(l) = -2*l**3 + l**2 + 5*l - 1. Let v(c) = 2*c**3 - 4*c. Let o(m) = z*v(m) + 2*g(m). Factor o(u).
2*(u - 1)*(u + 1)**2
Let y be 1/(22/8*2). Factor 0 + 4/11*l + 8/11*l**3 - y*l**4 - 10/11*l**2.
-2*l*(l - 2)*(l - 1)**2/11
Let z = -166 + 169. Suppose 1/6*y**z + 2/3 + 4/3*y + 5/6*y**2 = 0. What is y?
-2, -1
Find j, given that -2/9*j**3 + 2/9*j + 0*j**2 + 0 = 0.
-1, 0, 1
Let v(x) be the first derivative of -x**4/14 - 4*x**3/21 - 6. Suppose v(d) = 0. Calculate d.
-2, 0
Let j be (-1)/(-4) + 2/(-8). Let v = 21/40 + -1/40. Determine z, given that -1/2*z**2 + j*z + 0 + v*z**3 = 0.
0, 1
Suppose -69*c + 61*c = -24. Suppose 3/4*a + 3/4*a**2 - 7/4*a**c + 3/4*a**4 - 1/2 = 0. Calculate a.
-2/3, 1
Let q(i) be the third derivative of i**7/105 + i**6/20 - i**4/3 + 24*i**2. Factor q(j).
2*j*(j - 1)*(j + 2)**2
Let r(g) be the third derivative of g**6/30 - g**5/3 + 4*g**4/3 - 8*g**3/3 - 14*g**2. Solve r(x) = 0 for x.
1, 2
Let b(q) be the first derivative of q**4/24 + 3*q - 3. Let l(t) be the first derivative of b(t). Factor l(c).
c**2/2
Let h(r) be the third derivative of -1/420*r**7 + 0*r**3 + 2*r**2 + 0*r + 1/1344*r**8 - 1/96*r**4 + 1/120*r**5 + 0 + 0*r**6. Let h(b) = 0. What is b?
-1, 0, 1
Factor -4/5 + 2/5*q**2 - 2/5*q.
2*(q - 2)*(q + 1)/5
Let g be 22 - (-3)/6*4. Suppose -g*w + 25*w = 0. Factor -2/5*o**2 + 2/5*o + w.
-2*o*(o - 1)/5
Let o be ((-56)/(-16) - (5 - 2))*6. Find f such that 4/7*f**2 + 2/7 - 4/7*f**o - 6/7*f**4 - 2/7*f**5 + 6/7*f = 0.
-1, 1
Suppose 0 - 6*l - 6*l**4 + 3/2*l**5 + 6*l**2 + 9/2*l**3 = 0. Calculate l.
-1, 0, 1, 2
Let j(b) be the second derivative of -3*b**6/10 + 7*b**5/20 + 5*b**4/3 + 2*b**3/3 - 25*b. What is h in j(h) = 0?
-1, -2/9, 0, 2
Let l(r) be the second derivative of r**9/1260 + r**8/336 + r**7/315 - 5*r**4/12 + 4*r. Let m(h) be the third derivative of l(h). Solve m(p) = 0 for p.
-1, -2/3, 0
Let k(p) be the second derivative of p**6/70 - 3*p**5/35 + 3*p**4/28 + 2*p**3/7 - 6*p**2/7 + 