-3*y - 2*y + 20. Let -6*x**2 + 4*x + y*x**2 + 0*x = 0. What is x?
0, 2
Let u be (-64)/(-3) - 8/6. Suppose 6*i - 25 = -5*b + 7*i, u = 4*i. Determine q so that -1 + 9/2*q - b*q**2 + 5/2*q**3 = 0.
2/5, 1
Let n(y) be the third derivative of -1/448*y**8 + 1/168*y**7 + 0*y - 1/240*y**5 + 7*y**2 - 1/480*y**6 + 0*y**4 + 0*y**3 + 0. Solve n(k) = 0 for k.
-1/3, 0, 1
Factor 0*z - 2/7*z**3 + 2/7*z**2 + 0.
-2*z**2*(z - 1)/7
Suppose -2*p = -3*s + 32, 4*p - 5*s + 30 = 3*p. Let j = 12 + p. Solve -1/3 - 4/3*u - u**j = 0.
-1, -1/3
Determine d so that 3/4*d**5 + 3/2*d**2 + 3/4*d - 3/4 - 3/2*d**3 - 3/4*d**4 = 0.
-1, 1
Let q(x) be the first derivative of x**5/5 - x**4 + 2*x**3 - 2*x**2 + x + 19. Factor q(u).
(u - 1)**4
Let m(f) be the third derivative of -f**5/15 + 2*f**3/3 - 4*f**2. Factor m(w).
-4*(w - 1)*(w + 1)
Let k = 90 + -90. Determine h so that k*h**2 - 1/2*h**4 - h**3 + h + 1/2 = 0.
-1, 1
Let n(g) be the second derivative of -1/195*g**6 + 0*g**2 - g - 5/78*g**4 - 2/65*g**5 - 2/39*g**3 + 0. Factor n(w).
-2*w*(w + 1)**2*(w + 2)/13
Suppose y + 3*f = -9, -y + 6*y + 3*f - 3 = 0. Solve -10/3*b**y + 0 - 2*b**2 + 4/3*b = 0.
-1, 0, 2/5
Let w(m) be the second derivative of m**5/30 - m**3/9 - 3*m. Factor w(s).
2*s*(s - 1)*(s + 1)/3
Let h(o) be the third derivative of 0*o - 1/5*o**5 - 4*o**2 - 1/15*o**6 + 0 - 1/3*o**4 - 1/105*o**7 - 1/3*o**3. Factor h(l).
-2*(l + 1)**4
Let m = -5 - -7. Let w = m - -3. Solve -c**2 + 2*c**2 - 2*c - w*c**2 - 2*c**3 = 0.
-1, 0
Let m(q) = 7*q**3 - 12*q**2 - 5*q + 8. Let w(p) = 13*p**3 - 24*p**2 - 11*p + 17. Let h(f) = -5*m(f) + 2*w(f). Suppose h(l) = 0. What is l?
-2/3, 1
Let i be 2/(2/(-6) - -1). Let t be ((-3)/(-3))/((-3)/(-21)). Factor 3*o**5 + 5*o**5 - o**i - o**4 + t*o**4 - o**3.
2*o**3*(o + 1)*(4*o - 1)
Let j(x) be the first derivative of 5*x**3/3 - 20*x**2 + 80*x - 31. Determine n, given that j(n) = 0.
4
Factor 0 - 2/7*f**2 - 4/7*f.
-2*f*(f + 2)/7
Let q be (4/(-15))/((-84)/970). Let h = q + -20/7. Factor -h*y**2 + 2/3*y - 4/9.
-2*(y - 2)*(y - 1)/9
Suppose 0 = 6*o - 0 - 0. Let y(p) be the third derivative of o - 1/48*p**4 + 3*p**2 - 1/120*p**5 + 0*p + 1/6*p**3. Factor y(j).
-(j - 1)*(j + 2)/2
Let k be (4 - 2)/((-5)/1)*-5. Let m(i) be the second derivative of -k*i - 1/3*i**3 - 2*i**2 + 1/6*i**4 + 0. Let m(o) = 0. What is o?
-1, 2
Let t(u) = -u. Let h be t(0). Let p(o) be the third derivative of 1/1344*o**8 + 2*o**2 + 0*o + 0*o**3 + 0 + 0*o**6 - 1/840*o**7 + h*o**5 + 0*o**4. Factor p(v).
v**4*(v - 1)/4
Let o be ((-3)/(-5))/(3/15). Factor -3*d**3 - 2*d + 4*d**o + 4*d + d**2 + 2*d**2.
d*(d + 1)*(d + 2)
Let j(l) be the second derivative of -l**5/20 + l**3/2 - l**2 + 5*l. Factor j(f).
-(f - 1)**2*(f + 2)
Let k(g) = g**3 - 2*g**2 - 2*g - 1. Let u be k(3). Find h, given that -u*h**2 - h**2 - 3*h - 2*h**2 + 8*h**2 = 0.
0, 1
Let d(h) be the second derivative of -h**6/15 - h**5/5 - h**4/6 - 3*h. Factor d(j).
-2*j**2*(j + 1)**2
Suppose 2/5 - 8/5*a**2 - a**3 - 1/5*a = 0. Calculate a.
-1, 2/5
Let b(c) be the first derivative of c**6/30 - c**4/4 - c**3/3 - 2*c + 1. Let m(w) be the first derivative of b(w). Find u, given that m(u) = 0.
-1, 0, 2
Suppose 8*i - 5*i = 0. Let r(j) be the third derivative of 0*j**5 + 0*j - 1/525*j**7 + 0 + 0*j**4 + 0*j**6 + i*j**3 - j**2. Solve r(h) = 0.
0
Suppose 2*h - p + 3*p = -2, -5*h - p + 7 = 0. Suppose n**5 - 32*n + 8 - 70*n**3 + 14*n**4 - 3*n**5 + 50*n**h + 32*n**3 = 0. Calculate n.
1, 2
Factor 10*z**4 - z**4 - z**4 - 6*z - 30*z**3 + z**4 + 27*z**2.
3*z*(z - 2)*(z - 1)*(3*z - 1)
Let b(f) be the second derivative of -f**6/180 - f**5/120 + f**4/36 + 10*f. Factor b(a).
-a**2*(a - 1)*(a + 2)/6
Factor -z**2 - 5*z + 10*z - 17*z - 3*z**2.
-4*z*(z + 3)
Suppose -11*p + 6*p = 3*u - 31, 2*p = u + 8. Solve 2/9*v**u - 4/9*v + 0 = 0.
0, 2
Factor 4/7*j**3 + 0 - 2/7*j**4 - 4/7*j + 2/7*j**2.
-2*j*(j - 2)*(j - 1)*(j + 1)/7
Determine a, given that 5/4*a**2 + 5/4*a + 0 - 5/4*a**3 - 5/4*a**4 = 0.
-1, 0, 1
Factor -35*w - 5*w**2 - 2*w**2 + 10 + 8*w**2 + 14*w**2.
5*(w - 2)*(3*w - 1)
Suppose 8*l + 2*l - 90 = 0. Factor 6*v**3 + l*v**2 + 6*v + 3/2 + 3/2*v**4.
3*(v + 1)**4/2
Let s = 10 + -6. Suppose -3*y = -5*w + 18, -1 = -3*y - s. Factor -7*o**3 + 2*o**2 - 5*o**w + 5*o**3.
-o**2*(7*o - 2)
Let h(u) be the first derivative of -4 + 4*u - 14/3*u**3 + 5*u**2. Find s such that h(s) = 0.
-2/7, 1
Let a(u) be the first derivative of -u**5/30 - u**4/3 - 4*u**3/3 + 3*u**2 - 7. Let w(b) be the second derivative of a(b). Find n, given that w(n) = 0.
-2
Let b(z) be the second derivative of -z**7/14 + z**6/5 - z**4/2 + z**3/2 + 8*z. Suppose b(c) = 0. Calculate c.
-1, 0, 1
Suppose -f - 4*a = 3*f, 0 = -2*f + 4*a + 30. Let t(k) be the second derivative of -1/6*k**4 - 1/10*k**f + 0 + 0*k**2 - k + 0*k**3. Factor t(b).
-2*b**2*(b + 1)
Let n be ((-715)/(-30))/11 - (0 + 2). Let w(l) be the second derivative of -1/18*l**3 + 0 + 1/18*l**4 - n*l**2 + 2*l. Find f, given that w(f) = 0.
-1/2, 1
Let v be (-1026)/(-36)*4/3. Let c = v + -36. Factor -2/3 - 4/3*k + 2*k**c.
2*(k - 1)*(3*k + 1)/3
Let q(d) = d + 1. Let a be q(2). Suppose a*n = 4*g - 5, -2*n = 1 - 3. Factor -1/2*w**3 - g*w**2 - 2*w + 0.
-w*(w + 2)**2/2
Let d(i) be the third derivative of -i**5/210 - i**4/42 - i**3/21 + 3*i**2. Factor d(o).
-2*(o + 1)**2/7
Suppose 2/3*j**3 + 0 + 4/3*j**2 + 0*j = 0. What is j?
-2, 0
Let f be (-1)/(-3) - (-2)/3. Let x(y) = -y**2 - 8*y + 2. Let w be x(-8). Let 2*r**2 + 2*r**3 - 5 - 2*r + w + f = 0. Calculate r.
-1, 1
Let n(i) be the third derivative of 1/4*i**3 + 10*i**2 + 0 + 0*i**4 + 0*i - 1/40*i**5. Factor n(p).
-3*(p - 1)*(p + 1)/2
Let a be (-3)/12 + (-10)/(-8). Suppose -4*z + 3*z = -2. Factor -q + a - 2*q + q**z + 7*q - 2*q.
(q + 1)**2
Let y(n) = -4*n - 7*n**4 + 3*n**4 + n**4 + 2*n**2 + n**4. Let h(f) = -f**4 + f**3 + 2*f**2 - 3*f. Let i(c) = -4*h(c) + 3*y(c). Factor i(l).
-2*l**2*(l + 1)**2
Let i(h) be the second derivative of 2*h**4/3 - 4*h**3/3 - 3*h**2 + 4*h. Let d(b) = 0*b + 3 + b**2 - b - 4. Let p(k) = -6*d(k) + i(k). Factor p(g).
2*g*(g - 1)
Let g = 2/103 + 93/515. Factor 1/5*d + 0 + g*d**4 - 1/5*d**2 - 1/5*d**3.
d*(d - 1)**2*(d + 1)/5
Find j, given that -7*j**2 - 6*j - j**2 - 17*j + 11*j + 8 = 0.
-2, 1/2
Let n(k) be the third derivative of k**6/1080 - k**5/360 - k**3/3 + 5*k**2. Let m(a) be the first derivative of n(a). Factor m(d).
d*(d - 1)/3
Let r be (-45)/(-10)*2/3. Let y be (-1)/(1*(r + -4)). Solve -y - 9*p + 6*p - 4*p**2 - p**3 + p**2 = 0 for p.
-1
Let i(y) be the second derivative of y + 0 + 0*y**3 - y**2 + 0*y**4 - 1/165*y**5 - 1/660*y**6. Let f(x) be the first derivative of i(x). Factor f(g).
-2*g**2*(g + 2)/11
Let z(s) be the third derivative of -s**8/588 + 3*s**7/245 - 4*s**6/105 + s**5/15 - s**4/14 + s**3/21 + 38*s**2. Factor z(t).
-2*(t - 1)**4*(2*t - 1)/7
Let y be (-35)/(-75) - 1/(-5). Let c(v) be the first derivative of -2*v - 2*v**2 - y*v**3 - 1. Factor c(t).
-2*(t + 1)**2
Let o(y) be the third derivative of y**5/80 + 6*y**2. Find n such that o(n) = 0.
0
Suppose 8*g = 3*g + 15. Factor 8*u**4 - 4*u**5 - 4*u**2 + g*u**5 + 2*u - u**5 - 4*u**4.
-2*u*(u - 1)**3*(u + 1)
Let k(c) be the third derivative of 1/1512*c**8 - c**2 + 0*c**3 + 0 + 0*c**4 + 1/270*c**5 - 1/945*c**7 + 0*c - 1/540*c**6. Factor k(b).
2*b**2*(b - 1)**2*(b + 1)/9
Let s(v) be the third derivative of -1/660*v**6 + 1/330*v**5 - 1/33*v**3 + 0*v - 2*v**2 + 0 + 1/132*v**4. Factor s(r).
-2*(r - 1)**2*(r + 1)/11
Suppose -5*d + 19 = -16. Let k(s) be the third derivative of 0*s - 2*s**2 - 1/210*s**d + 0*s**3 + 1/24*s**4 - 1/120*s**6 + 1/60*s**5 + 0. Factor k(l).
-l*(l - 1)*(l + 1)**2
Let g(o) be the second derivative of -o**7/17640 + o**6/5040 + o**5/420 + 7*o**4/12 + 3*o. Let m(f) be the third derivative of g(f). Factor m(s).
-(s - 2)*(s + 1)/7
Let s(u) be the second derivative of 0*u**2 + 0 + 0*u**3 - 3*u + 0*u**4 - 1/63*u**7 + 0*u**6 + 1/30*u**5. Factor s(c).
-2*c**3*(c - 1)*(c + 1)/3
Let z(w) = -w**4 + 8*w**3 - 9*w**2 + 4*w - 1. Let u(a) = -a**4 - a**2 + 1. Let t(r) = -u(r) - z(r). Factor t(j).
2*j*(j - 2)*(j - 1)**2
Suppose -13*p = -18*p + 5, -4*k = -2*p + 2. Find a, given that -2/7*a**2 - 2/7*a**3 + k*a + 0 = 0.
-1, 0
Let m(h) be the first derivative of -1/18*h**4 + 4/9*h + 1 - 34/27*h**3 + 2/3*h**5 + 1/9*h**2. Solve m(i) = 0.
-1, -1/3, 2/5, 1
Let q(j) = j**2 + j - 1. Let c(v) = 7*v**2 + 6