8/7*x**2 - 12/7*x**3 + 0 - 8/7*x**4 + 12/7*x**5 = 0 for x.
-1, 0, 2/3, 1
Let q be 3 - (-60)/(-21) - (-96)/210. Factor 6/5*k - q*k**2 - 3/5.
-3*(k - 1)**2/5
Determine j so that -10*j**2 - 2*j**3 - 14*j - 3 - 4 + 1 = 0.
-3, -1
Suppose -2*n = -6*n + 8. Suppose 0 = -2*s + f + 6, -s + 6 = -3*f + 3. Let -n*d**2 + s*d - 2*d + d**3 + 0*d**2 = 0. What is d?
0, 1
Factor -j**3 + 20*j + 2*j**3 - 21*j.
j*(j - 1)*(j + 1)
Factor -7*y**4 - 25*y**3 - 1 + 5*y + 9*y**5 - 25*y**5 - 11*y**4 + 5*y**2 - 22*y**4.
-(y + 1)**3*(4*y - 1)**2
Let o(f) be the second derivative of f**5/70 - 3*f**4/14 + 9*f**3/7 - 27*f**2/7 - 29*f - 2. Solve o(g) = 0.
3
Find j, given that 4*j**2 + 0*j - 2*j - 4*j**3 - 3*j**3 + 5*j**3 = 0.
0, 1
Let n(u) = -6*u**4 - 56*u**3 + 4*u**2 + 40*u - 14. Let y(r) = -r**4 - 11*r**3 + r**2 + 8*r - 3. Let k(w) = 3*n(w) - 16*y(w). Suppose k(s) = 0. Calculate s.
-1, 1, 3
Factor -3 - 4*n**3 - n**3 - 9*n**2 - 9*n - 2*n**3 + 4*n**3.
-3*(n + 1)**3
Let o(k) be the second derivative of k**7/14 - k**6/10 - 9*k**5/20 + k**4/4 + k**3 + 12*k. Factor o(t).
3*t*(t - 2)*(t - 1)*(t + 1)**2
Let h(t) be the first derivative of -1/2*t**2 + 5 + 0*t + 1/4*t**4 + 0*t**3. Solve h(y) = 0 for y.
-1, 0, 1
Let j = -5568347/710220 - -15/6764. Let q = j - -199/15. Determine m so that -2*m - 4/7 - 30/7*m**4 + 10/7*m**2 + q*m**3 = 0.
-2/5, -1/3, 1
Let f be 28/77 - (-63)/(-385). Factor 2/5*g**3 + 2/5*g**2 - 1/5*g - 1/5 - 1/5*g**5 - f*g**4.
-(g - 1)**2*(g + 1)**3/5
Let b be 0 + -2 + 4/2. Suppose 5*i - 4*u - 20 = -0, b = -u. Determine g, given that -6*g + 6*g**3 - i*g**2 + 8*g**2 - 1 - 3 = 0.
-1, -2/3, 1
Let j(o) be the third derivative of -o**5/300 - o**4/120 + o**3/15 - 2*o**2. Determine m so that j(m) = 0.
-2, 1
Let n be (-24)/(-10) - (0 - -1) - 1. Factor 0*p**3 + 0*p - 2/5*p**2 + 0 + n*p**4.
2*p**2*(p - 1)*(p + 1)/5
Let z(c) be the second derivative of c**4/4 - 3*c**2/2 + c. Find n, given that z(n) = 0.
-1, 1
Let i = 73/2 + -217/6. Solve -i*y + 1/3*y**4 + y**2 - y**3 + 0 = 0.
0, 1
Let h(q) be the second derivative of -1/30*q**4 - 2*q + 1/5*q**2 - 1/15*q**3 + 1/50*q**5 + 0. Let h(o) = 0. Calculate o.
-1, 1
Let v(a) be the third derivative of 0*a + 0*a**3 + 0 + 0*a**4 - a**2 + 1/40*a**5 + 1/40*a**6 + 1/140*a**7. Factor v(f).
3*f**2*(f + 1)**2/2
Let m(q) be the first derivative of -q**9/7560 + q**8/4200 - q**3/3 - 3. Let j(t) be the third derivative of m(t). Suppose j(x) = 0. What is x?
0, 1
Factor 1/4*z + 1/4*z**4 + 1/4 - 1/2*z**3 - 1/2*z**2 + 1/4*z**5.
(z - 1)**2*(z + 1)**3/4
Factor -4/5*p**4 - 8/5 + 4*p**3 - 36/5*p**2 + 28/5*p.
-4*(p - 2)*(p - 1)**3/5
Solve -7*j**4 + 8*j**3 + 12*j**4 + 2*j**3 - 15*j**2 - 20 - 40*j = 0.
-2, -1, 2
Let c be (-6)/15 + 22/5. Suppose -c*q + 8*q - 16 = 2*s, 4*s + 18 = q. Factor t**4 + t**2 - q*t + 0*t**2 - 4*t**2.
t*(t - 2)*(t + 1)**2
Solve 13 + 8*y + 4*y**2 - 34*y + 2*y + 23 = 0.
3
Solve -3*c**4 + 7*c**2 + 45*c - 9*c - 13 + 1 - 46*c**2 + 18*c**3 = 0 for c.
1, 2
Find b, given that 524 - 524 + 5*b**2 = 0.
0
Let a(o) be the third derivative of -o**8/1680 + o**7/175 - 11*o**6/600 + o**5/150 + o**4/10 - 4*o**3/15 - 5*o**2. Suppose a(k) = 0. What is k?
-1, 1, 2
Let s = 16/21 + -43/84. Factor -1/4*y**2 + s*y**3 + 0*y + 1/4*y**4 + 0 - 1/4*y**5.
-y**2*(y - 1)**2*(y + 1)/4
Let l(x) be the second derivative of x**8/168 - x**7/105 - x**6/60 + x**5/30 + x**2 - 2*x. Let h(m) be the first derivative of l(m). Factor h(y).
2*y**2*(y - 1)**2*(y + 1)
Suppose i = -33 + 35. Factor -4/3 + 2/3*j**3 + 0*j**i - 2*j.
2*(j - 2)*(j + 1)**2/3
Factor 4/3*g**3 + 0 + 4/3*g**5 + 0*g + 0*g**2 + 8/3*g**4.
4*g**3*(g + 1)**2/3
Let z(g) = 3*g**2 - 24*g + 21. Let s be z(7). What is k in -1/5*k**3 + 1/5*k + 0*k**2 + s = 0?
-1, 0, 1
Let n(u) be the third derivative of -u**5/30 + u**3/3 - 5*u**2. Determine k so that n(k) = 0.
-1, 1
Let b = -195/2 + 587/6. Factor 0 - b*m**2 - m.
-m*(m + 3)/3
Let u = -5 + 13. Factor -1 + 3 - u*l + 2*l**2 + 12*l.
2*(l + 1)**2
Factor 34*z**4 + 0*z**3 - 2*z**5 + 8*z**2 - 26*z**4 - 2*z - 12*z**3.
-2*z*(z - 1)**4
Let m be -6*(-1)/8 - (-99)/(-132). Let w(v) be the second derivative of 0*v**4 + 1/3*v**3 + 0 - 1/10*v**5 + 4*v + m*v**2. Determine j so that w(j) = 0.
-1, 0, 1
Let l = 5 + -3. Suppose 3 + 5 = l*d. Factor -2*z**2 - z**3 - 6*z**4 + 4*z**d - 3*z**3.
-2*z**2*(z + 1)**2
Let w(i) be the second derivative of i**7/2520 + i**6/720 + i**4/12 + 2*i. Let f(h) be the third derivative of w(h). Factor f(t).
t*(t + 1)
Let f be 3/(-7) + ((-505)/(-525))/1. Let v(s) be the second derivative of -1/50*s**5 + 0 + 3*s + 1/6*s**4 + 4/5*s**2 - f*s**3. Factor v(m).
-2*(m - 2)**2*(m - 1)/5
Let j(z) = -2*z**2 + 17*z - 13. Let i(b) = b**2 - 8*b + 7. Let u = -11 + 13. Let r(o) = u*j(o) + 5*i(o). Suppose r(d) = 0. Calculate d.
3
Let w be ((-8)/(-6))/((3 + -5)*-1). Find z such that -2*z - 2/3*z**4 + 2*z**3 + 4/3 - w*z**2 = 0.
-1, 1, 2
Determine p, given that 1 - 2*p**2 + p**2 - 5 - 3*p**2 + 8*p = 0.
1
Let 18*z - 12 - 9*z**2 + 3/2*z**3 = 0. Calculate z.
2
Let d(h) = 2*h**3 - 2*h**2 + 2*h. Let f(c) = 4*c**3 - 3*c**2 + 4*c. Let k(v) = -11*d(v) + 6*f(v). Factor k(x).
2*x*(x + 1)**2
Suppose -6 = -4*t + 2*t. Suppose y = -t*y + 8. Factor 2*c**2 + c - y*c - c**2.
c*(c - 1)
Let w be (3 - 12/(-4)) + -1. Suppose 2*q + 3*j + 3 = -2*q, 4*q + w*j + 13 = 0. What is f in 1/3*f**4 - 1/3*f - 1/3*f**2 + 0 + 1/3*f**q = 0?
-1, 0, 1
Let u = -1/154 - -6/77. Let m(g) be the first derivative of 3 - 2/35*g**5 + 2/7*g**3 + 4/7*g - 5/7*g**2 + u*g**4. Factor m(t).
-2*(t - 1)**3*(t + 2)/7
Let c(i) = -i**3 - 9*i**2 - 9*i - 6. Let v be c(-8). Determine q, given that 60*q**2 + 4 - 36*q**2 - v*q**4 + 16*q + 16*q**3 + 6*q**4 = 0.
-1
Let b(s) = 4*s. Let h(f) = f**2 - 12*f. Let q(x) = 14*b(x) + 4*h(x). Factor q(t).
4*t*(t + 2)
Let c(i) be the third derivative of 1/150*i**5 - 1/300*i**6 + 0*i + 0 + 2*i**2 + 1/60*i**4 - 1/15*i**3. Determine g so that c(g) = 0.
-1, 1
Suppose -t - 3*t = -68. Solve 17*q - 1 + 3*q**2 - 2*q**2 - t*q = 0 for q.
-1, 1
Let s = 0 - -1. Let k = 1 - s. Factor k*c**2 + 3*c**2 - c - 4*c**2.
-c*(c + 1)
Let 0*f**2 + 0 + 0*f + 4/7*f**5 + 0*f**3 + 4/7*f**4 = 0. Calculate f.
-1, 0
Let z be 116/(-16) + 7 - (-1)/4. Factor -2/7*d**4 - 2/7*d**5 + 0*d + 0*d**2 + z + 4/7*d**3.
-2*d**3*(d - 1)*(d + 2)/7
Let b(t) = t**3 + 7*t**2 - t - 7. Let g(y) = -3*y**2 + 3. Let f(z) = 2*b(z) + 5*g(z). Factor f(v).
(v - 1)*(v + 1)*(2*v - 1)
Let m(k) be the third derivative of -1/16*k**4 - 2*k**2 - 1/12*k**3 + 0*k - 1/240*k**6 + 0 - 1/40*k**5. Factor m(f).
-(f + 1)**3/2
Factor -12/7*a**2 + 0 - 3/7*a - 9/7*a**3.
-3*a*(a + 1)*(3*a + 1)/7
Suppose 0*c**3 + 0 + 0*c**4 + 0*c**2 - 1/5*c**5 + 0*c = 0. Calculate c.
0
Suppose 1/2*r**2 + 1/4 + 1/4*r**5 + 1/2*r**3 - 3/4*r - 3/4*r**4 = 0. Calculate r.
-1, 1
Let f(c) be the first derivative of -c**4/7 + 8*c**3/21 - 2*c**2/7 + 6. Factor f(w).
-4*w*(w - 1)**2/7
Let o be (-198)/30 + 5 - -2. Find k such that 0*k + o*k**5 + 0 + 0*k**2 + 0*k**4 - 2/5*k**3 = 0.
-1, 0, 1
Let k be 2*(-2 + -2)/(-16). Let i(c) be the first derivative of 1/9*c**6 + 1 + k*c**4 + 2/9*c**3 + 0*c + 0*c**2 + 2/5*c**5. Factor i(r).
2*r**2*(r + 1)**3/3
Let p(b) be the third derivative of -b**6/90 + b**5/5 - 5*b**4/6 + 14*b**3/9 + 18*b**2. Find u such that p(u) = 0.
1, 7
Let m be 39/4 - (-9)/36. Factor 6*w - 2*w - w**4 + 4*w**3 + 4*w**3 - m*w**2 - w**4.
-2*w*(w - 2)*(w - 1)**2
Let f(w) = w**3 + w**2 - 3*w. Let d be f(0). Let r(h) be the third derivative of -1/48*h**6 + 2*h**2 + 1/24*h**4 + 0*h - 1/40*h**5 + 0*h**3 + d. Factor r(o).
-o*(o + 1)*(5*o - 2)/2
Let r(i) = -i + 8. Let k be r(8). Let d(f) be the second derivative of -f + 1/30*f**6 + 0 + 0*f**4 + 1/20*f**5 + 0*f**2 + k*f**3. Suppose d(j) = 0. Calculate j.
-1, 0
Let w(y) be the second derivative of -y**5/180 + y**3/18 + y**2 - 3*y. Let c(r) be the first derivative of w(r). Factor c(m).
-(m - 1)*(m + 1)/3
Let m(v) be the second derivative of -v**7/11340 + v**6/1620 - v**5/540 - v**4/3 - 3*v. Let i(t) be the third derivative of m(t). Determine g so that i(g) = 0.
1
Let v = 177/3880 + -2/97. Let s(k) be the third derivative of 0*k**4 + 1/20*k**5 + 0*k - 2*k**2 + v*k**6 + 0*k**3 - 1/70*k**7 + 0 - 1/112*k**8. Solve s(c) = 0.
-1, 0, 1
Let g(i) = i**4 - i**3 - i**2 - i. Let v(a) = 3*a**5 - 3*a**3 - 3*a**2 + 6*a + 3. Let o(z) = 3*g(z) + v(z). Suppose o(r) = 0. What is r?
-1, 1
Let f be