 6 = 0, 4*g - j = g + 4*b. Factor 2/3*i**2 - 2/3*i**g - 2/3 + 2/3*i.
-2*(i - 1)**2*(i + 1)/3
Let t = 10 + -7. Solve 0*q**4 - 3*q**t + 0*q**3 + 0*q**5 - q**4 + q**2 + 3*q**5 = 0.
-1, 0, 1/3, 1
Factor -4/3 - 2/9*g**2 + 10/9*g.
-2*(g - 3)*(g - 2)/9
Let i = -94 + 753/8. Let f(q) be the second derivative of 3*q + 1/8*q**3 + 0 + 1/12*q**4 - i*q**2. Factor f(h).
(h + 1)*(4*h - 1)/4
Let p(l) = 4*l - 3*l - 2*l - 6 + 2*l. Let j be p(9). Factor m**5 + m**4 + m - 2 + m**3 + 3 - 2*m**2 - 3*m**j.
(m - 1)**2*(m + 1)**3
Suppose -3*p - 2*p - 4*d = 0, 5*p + 5 = -3*d. Let w be (16/p - -4)/(-3). Factor 0*j + 1/2*j**3 - 1/4*j**4 + 0*j**2 + w.
-j**3*(j - 2)/4
Let j = 27 + -24. Let p(r) be the second derivative of 0 - 1/10*r**5 + 0*r**j + 0*r**2 + 0*r**4 - r + 1/15*r**6. Factor p(w).
2*w**3*(w - 1)
Let o be ((-8)/(32/(-6)))/(3/6). Factor 0*s - 2/9*s**o + 0 - 2/9*s**2.
-2*s**2*(s + 1)/9
Let o(c) = -27*c**2 - 105*c - 21. Let p(n) = -52*n**2 - 210*n - 43. Let h(g) = 7*o(g) - 3*p(g). Factor h(s).
-3*(s + 3)*(11*s + 2)
Factor 13*k - k - 4*k + 3*k**2 + 8 - k**2.
2*(k + 2)**2
Let t(a) = a**2 + 79*a + 294. Let q(k) = -k**2 - 40*k - 147. Let h(z) = -5*q(z) - 2*t(z). Solve h(n) = 0.
-7
Let k(x) be the second derivative of 1/21*x**7 + 1/3*x**4 + 3*x - 1/5*x**5 + 1/3*x**3 + 0 - 1/15*x**6 - x**2. Factor k(h).
2*(h - 1)**3*(h + 1)**2
Let p(k) = 5*k**2 + 8*k**4 + 3*k**3 - k**3 + k**2. Suppose -2*b - 2 = 4*y + 2, 4*y + 28 = 2*b. Let n(z) = -z**4 - z**2. Let f(x) = b*n(x) + p(x). Factor f(g).
2*g**3*(g + 1)
Let r(o) = o**2 + o + 1. Let w(n) = 6*n**2 - 9*n + 12. Let k(a) = 3*r(a) - w(a). Let k(z) = 0. Calculate z.
1, 3
Let z(l) be the second derivative of l**5/70 + 2*l**4/21 + 5*l**3/21 + 2*l**2/7 - 6*l. Factor z(o).
2*(o + 1)**2*(o + 2)/7
Suppose -4*a = 3*g + 4, -4*g + 7 = a + 21. Suppose -4*q + 10 = t + 2, -8 = 4*q + 5*t. Find i such that 2/5*i**q + 2/5*i**a + 0 + 0*i = 0.
-1, 0
Let t(m) be the first derivative of -2*m**5/15 + m**4/4 + m**3/3 + m**2 + 1. Let p(q) be the second derivative of t(q). Let p(s) = 0. Calculate s.
-1/4, 1
Let l(p) = -p**2 + 2*p. Let a be l(1). Let c(k) be the first derivative of 2/5*k**5 - a - 2/3*k**3 - k**2 + 0*k + 1/2*k**4. Find t such that c(t) = 0.
-1, 0, 1
Let b(i) = 3*i**3 + 9*i**2 - 2*i - 12. Suppose -5*l + l = -8. Let v(r) = -3*r**3 - 9*r**2 + 3*r + 12. Let o(c) = l*v(c) + 3*b(c). Suppose o(g) = 0. What is g?
-2, 1
Let g = -928 + 22277/24. Let z(x) be the third derivative of -23/240*x**5 - 1/6*x**3 + 0 - 7/480*x**6 - g*x**4 + 0*x - 3*x**2. Find q, given that z(q) = 0.
-2, -1, -2/7
Let f = 53 + -53. Find x, given that 1/3*x**2 + 0*x + f = 0.
0
Let y(s) be the first derivative of -81*s - 9*s**3 + 3 + 3/4*s**4 + 81/2*s**2. Suppose y(b) = 0. Calculate b.
3
Suppose 6*d - 9 = d + 2*y, -4*d + 5*y + 14 = 0. Let g(m) be the first derivative of 1/3*m**2 + 0*m - d + 1/9*m**3. Factor g(v).
v*(v + 2)/3
Let d be (-1 - 2)/((-2)/(5 - 3)). Let x(r) be the second derivative of 0*r**2 - 7/110*r**5 + 0 + 0*r**d + 1/33*r**4 + 1/33*r**6 - 3*r. Factor x(k).
2*k**2*(k - 1)*(5*k - 2)/11
Let a(k) be the first derivative of 1/60*k**5 - 2*k - 1/18*k**3 + 1 - 1/6*k**2 + 1/36*k**4. Let c(y) be the first derivative of a(y). Factor c(v).
(v - 1)*(v + 1)**2/3
Solve -15/2*h**2 - 3/2*h**4 + 0 + 3*h + 6*h**3 = 0.
0, 1, 2
Factor 1/4*m + 0 + 3/8*m**2.
m*(3*m + 2)/8
Solve -4*k - 8 - 1/2*k**2 = 0 for k.
-4
Let f be (-15)/5 - ((-130)/(-8))/(-5). Solve 0 - f*q - q**2 = 0 for q.
-1/4, 0
Let h(l) be the third derivative of l**6/60 - 7*l**5/45 + 5*l**4/9 - 8*l**3/9 - 7*l**2. What is m in h(m) = 0?
2/3, 2
Let v(d) be the first derivative of -d**5/4 + 7*d**4/12 + 4*d**3/3 - 2*d**2 - 2*d + 2. Let t(i) be the first derivative of v(i). Factor t(n).
-(n - 2)*(n + 1)*(5*n - 2)
Suppose -4*s = 4*n - 20, -s + n - 1 + 8 = 0. Suppose -12 = 3*h - s*h. Factor -6*i**2 + 0*i**2 - 2*i**3 + 2*i**5 + 4*i**2 + 2*i**h.
2*i**2*(i - 1)*(i + 1)**2
Let r(j) = 2*j**5 - 2*j**4 - 9*j**3 + 7*j**2 + 8*j. Let d(t) = -3*t**5 + 5*t**4 + 17*t**3 - 13*t**2 - 16*t. Let o(a) = -3*d(a) - 5*r(a). Factor o(y).
-y*(y - 1)*(y + 2)**3
Let j be 18/4*16/12. Let h = 10 - j. Factor -h*f**3 + 4*f**3 + f**3.
f**3
Let y = 448/9 + -44797/900. Let p(m) be the third derivative of 0 + 0*m + y*m**5 - 1/120*m**4 + 2*m**2 + 0*m**3. Let p(b) = 0. Calculate b.
0, 1
Suppose 2*f + q - 1 - 2 = 0, -3 = -q. Suppose 0 = 3*k + 5*x + 14 - 0, 4*x + 6 = -5*k. Find o such that -2/7*o**k + 0*o + f = 0.
0
Factor 2*m - 8*m**2 + 7*m**2 + 2*m.
-m*(m - 4)
Let j(h) be the first derivative of -h**6/45 + h**5/10 - h**4/6 + h**3/9 + 3*h - 1. Let z(f) be the first derivative of j(f). Suppose z(c) = 0. What is c?
0, 1
Let y(r) = r**3 - r**2 - r. Let c(p) be the third derivative of 9*p**6/40 + 7*p**5/20 - p**4/24 + 4*p**2. Let q(f) = c(f) - 5*y(f). Find u, given that q(u) = 0.
-1, -2/11, 0
Let d(z) be the second derivative of z**6/10 - 3*z**5/4 + 2*z**4 - 2*z**3 - 14*z. Determine b so that d(b) = 0.
0, 1, 2
Let g(t) be the second derivative of 4*t + t**2 - 5/6*t**3 - 7/12*t**4 + 0. Factor g(a).
-(a + 1)*(7*a - 2)
Let h(v) = v**3 + v + 12. Let i be h(0). Solve -3 - i*t**2 - 21/2*t - 9/2*t**3 = 0.
-1, -2/3
Suppose -5*r + 0*z = -2*z - 33, 3*r + 5*z + 5 = 0. Suppose -8 = -r*f + f. Solve 0 + 0*t + 0*t**3 - 1/2*t**f + 1/2*t**4 = 0 for t.
-1, 0, 1
Let u(y) be the third derivative of -y**8/168 - y**7/105 + y**6/12 + y**5/30 - 2*y**4/3 + 4*y**3/3 + 15*y**2. Suppose u(w) = 0. What is w?
-2, 1
Suppose 0 = -3*i - 0*i - 18. Let t(g) = -3*g**2 - 6. Let k(n) = 6*n**2 - n + 11. Let b(p) = i*k(p) - 11*t(p). Find f, given that b(f) = 0.
0, 2
Let f be 3 - (-2)/(-3)*150/40. Let y(b) be the second derivative of 1/3*b**3 + 0 - f*b**4 + 2*b**2 + 1/15*b**6 - 1/10*b**5 - 3*b. Factor y(g).
2*(g - 2)*(g - 1)*(g + 1)**2
Let b = -6 + 10. Let i(q) be the second derivative of 1/105*q**7 + 0*q**5 + 0 + 2/75*q**6 - q - 1/15*q**b + 0*q**2 - 1/15*q**3. Factor i(f).
2*f*(f - 1)*(f + 1)**3/5
Let o(y) = -y**2 + 2*y + 0*y**2 - y - 1. Let t(l) = 2*l**2 - 3*l + 4. Let m(k) = -3*o(k) - t(k). Factor m(r).
(r - 1)*(r + 1)
Let h be 4/22 + 16/(-88). Let k(m) be the third derivative of h*m**4 + 0 + 0*m**3 + 1/180*m**5 + 2*m**2 + 0*m. Solve k(i) = 0 for i.
0
Let w be (78/(-18) - -4)*-9. Factor -2/5 + 2/5*n + 2/5*n**2 - 2/5*n**w.
-2*(n - 1)**2*(n + 1)/5
Let n be ((-3)/(-18))/((-20)/(-360)). Factor 0 - 6/7*u**4 + 6/7*u**n + 0*u + 2/7*u**5 - 2/7*u**2.
2*u**2*(u - 1)**3/7
Let f be 5*-5*(-8)/100. Let h(v) be the second derivative of 0 - v + 1/21*v**3 - 5/42*v**4 + 3/70*v**5 + 1/7*v**f. Find z such that h(z) = 0.
-1/3, 1
Let 2/7*x + 0 + 0*x**2 - 4/7*x**3 + 0*x**4 + 2/7*x**5 = 0. What is x?
-1, 0, 1
Let c(q) be the third derivative of -q**9/181440 + q**8/12096 - q**7/2160 + q**6/720 + q**5/12 + 3*q**2. Let n(x) be the third derivative of c(x). Factor n(z).
-(z - 3)*(z - 1)**2/3
Let i(m) be the third derivative of 0 + 1/30*m**6 - 2/105*m**7 - 6*m**2 + 0*m**3 + 1/15*m**5 + 0*m - 1/6*m**4. Factor i(v).
-4*v*(v - 1)**2*(v + 1)
Let w(s) be the third derivative of -2/7*s**3 + 1/140*s**6 + 0*s + 7*s**2 + 0 - 2/105*s**5 - 13/84*s**4. Determine j so that w(j) = 0.
-1, -2/3, 3
Let q(o) be the first derivative of -2*o**3 + 0*o + 33/4*o**4 + 0*o**2 - 3. Factor q(l).
3*l**2*(11*l - 2)
Let v(u) = u**2 - u - 1. Let z(y) = 4*y**2 + y - 5. Let r(l) = 5*v(l) - z(l). Factor r(k).
k*(k - 6)
Let g be (-3)/(3/(-1)) + 2. Suppose g*a = -y + 2, -a - 4*y + 8 = -4*a. Find h such that h**4 + h**2 + a - 3*h**2 + 1 = 0.
-1, 1
Let r be 1258/777 + (-2)/7. Factor r - 2*l + 2/3*l**3 + 0*l**2.
2*(l - 1)**2*(l + 2)/3
Let z(p) be the second derivative of p**8/6720 + p**7/630 + p**6/144 + p**5/60 + p**4/3 - 3*p. Let k(d) be the third derivative of z(d). Factor k(v).
(v + 1)**2*(v + 2)
Let h(f) be the first derivative of -f**4/4 - 2*f**3/3 - f**2/2 - 7. Determine q, given that h(q) = 0.
-1, 0
Let i(h) be the first derivative of 5 + h - 1/3*h**2 + 1/6*h**3 - 1/36*h**4. Let q(p) be the first derivative of i(p). Factor q(l).
-(l - 2)*(l - 1)/3
Find y, given that -6/5*y**5 - 6/5*y**3 + 12/5*y + 3*y**4 - 12/5*y**2 - 3/5 = 0.
-1, 1/2, 1
Let k be 3/9 + 25/15. Determine h so that h**k - 5*h**2 - 2*h**2 + 3*h**2 = 0.
0
Let u(j) = -j - 9. Let o be u(-10). Suppose 2*r = o + 3. Factor 0 + 2/9*l - 2/9*l**r.
-2*l*(l - 1)/9
Factor 0 - 1/4*o**3 + 0*o - 1/2*o**2.
-o**2*(o + 2)