 = -3*z. Let s be (12 + -13)*-4*1. Factor n**2 - s + w.
n**2
Suppose b - 12 = -2*m, 5*b + 11 + 4 = 5*m. Let v be (-2)/(-5) + (-28)/(-105). Factor -2/3*z**3 + 0 + 0*z**b + v*z.
-2*z*(z - 1)*(z + 1)/3
Let y be (4/(-30))/(9 + 1464/(-162)). Find s such that -6*s - 2/5*s**3 - 14/5*s**2 - y = 0.
-3, -1
Let a(f) be the second derivative of f**5/60 + 5*f**4/36 + 4*f**3/9 + 2*f**2/3 - 34*f. Solve a(x) = 0.
-2, -1
Let m(i) = 12*i**5 - 11*i**4 - 13*i**3 - 11*i**2 - 10*i - 11. Let x(h) = -h**5 + h**4 + h**3 + h**2 + h + 1. Let d(r) = -2*m(r) - 22*x(r). Factor d(q).
-2*q*(q - 1)**2*(q + 1)**2
Suppose -2*u - 4 = t - 0*t, 3*u = 2*t - 20. What is d in -2/7*d**2 + 4/7*d**3 - 4/7*d + 0 + 2/7*d**t = 0?
-2, -1, 0, 1
Let j(l) be the third derivative of -l**7/245 + 2*l**6/105 - 2*l**5/105 - l**2 - 20*l. Factor j(o).
-2*o**2*(o - 2)*(3*o - 2)/7
Let w(c) be the first derivative of -2/65*c**5 - 2/13*c - 4/13*c**3 + 5 + 4/13*c**2 + 2/13*c**4. Solve w(y) = 0.
1
Factor 18*l - 189 - 3/7*l**2.
-3*(l - 21)**2/7
Let d be (-1)/(-4)*7 + (-1)/1. Factor -d*t**3 - 9/4*t + 3/4 + 9/4*t**2.
-3*(t - 1)**3/4
Let z(a) be the third derivative of -a**8/1344 - a**7/840 + a**6/240 - 7*a**2. Suppose z(x) = 0. What is x?
-2, 0, 1
Let r be 4/6 + 8/6. Let c = r + 0. Factor 4/7*h - 2/7*h**c - 2/7.
-2*(h - 1)**2/7
Let v(z) be the first derivative of -2*z - 4/3*z**3 + 2 - 1/4*z**4 + 1/2*z**2. Let t(h) = -3*h**3 - 13*h**2 + 4*h - 7. Let u(g) = -2*t(g) + 7*v(g). Factor u(o).
-o*(o + 1)**2
Solve 0*s - 2/7*s**5 + 0 - 2/7*s**4 + 2/7*s**3 + 2/7*s**2 = 0.
-1, 0, 1
Suppose -w = w. Let p(k) be the second derivative of w - 1/2*k**2 + 2*k + 0*k**3 + 1/12*k**4. Factor p(g).
(g - 1)*(g + 1)
Let i = -1 + 5. Suppose -i*n + 20 = -4. Determine h, given that 5*h**2 - 6*h**2 - n*h - h**2 - h**2 = 0.
-2, 0
Let m(o) be the second derivative of o**4/90 + 4*o**3/45 + 4*o**2/15 - 3*o. Factor m(c).
2*(c + 2)**2/15
Let p(f) = 499*f**2 - 4 + 0*f - 502*f**2 + 6*f. Let m(o) = o - 1. Let k(u) = u**2 - 4*u + 3. Let b(s) = k(s) + 3*m(s). Let r(v) = 2*b(v) + p(v). Factor r(y).
-(y - 2)**2
Let v(r) be the first derivative of 0*r**3 - 1/2*r**2 + 1/4*r**4 + 0*r - 5. Factor v(d).
d*(d - 1)*(d + 1)
Factor -a**3 + 3*a**3 - 5*a**3 + 3*a**4.
3*a**3*(a - 1)
Let o(r) = r**3 - 11*r**2 + 17*r + 11. Let x be o(9). Factor 6/5 - 9/5*b + 3/5*b**x.
3*(b - 2)*(b - 1)/5
Let u(s) be the second derivative of -1/25*s**5 + 0*s**2 + 1/42*s**7 + 0 + 0*s**3 + 0*s**4 + 4/75*s**6 - 2*s. Factor u(d).
d**3*(d + 2)*(5*d - 2)/5
Suppose -19*x = -9*x. Let k(b) be the third derivative of -3*b**2 - 1/24*b**4 + 0 - 1/12*b**3 - 1/120*b**5 + x*b. Suppose k(i) = 0. What is i?
-1
Let v(m) = -m**3 + 8*m**2 + 20*m + 5. Let f be v(10). Let i(z) be the third derivative of 0*z**3 + 0*z + 0*z**4 - 1/330*z**f + 0 - 3*z**2. Solve i(d) = 0 for d.
0
Let x(q) be the second derivative of -q**5 - 6*q**4 - 8*q**3 + 16*q**2 - 8*q. Factor x(y).
-4*(y + 2)**2*(5*y - 2)
Find n, given that 4*n**3 - n**5 - 6*n**3 + 4*n**4 - n**5 + 0*n**3 = 0.
0, 1
Let -2*j**2 + 2*j**2 + 5*j**2 - 2*j**2 - 6*j = 0. Calculate j.
0, 2
Let f be (-1 - (-9 + 3 - -1)) + -4. Suppose -3/5*l**3 + 0*l - 3/5*l**4 + 0 + f*l**2 = 0. Calculate l.
-1, 0
Let z(g) be the first derivative of -5*g**4/14 + 4*g**3/21 + 4*g**2/7 + 3*g + 2. Let a(m) be the first derivative of z(m). Factor a(i).
-2*(3*i - 2)*(5*i + 2)/7
Factor -5*j**2 + 10 + 3*j + 3*j**2 + 42*j + 22*j**2.
5*(j + 2)*(4*j + 1)
Let y(f) be the first derivative of f**9/10584 - f**8/5880 - f**7/2940 + f**6/1260 + 2*f**3/3 - 4. Let v(w) be the third derivative of y(w). Solve v(d) = 0.
-1, 0, 1
Let a(y) = 3*y**3 + 3*y**2 + 2*y + 7. Let w(v) = 5*v**2 + 10*v**3 + 6*v + 13*v**2 - 8*v**2 + 22. Let k(l) = 16*a(l) - 5*w(l). Determine u so that k(u) = 0.
-1, 1
Suppose 2*r - t - 5 = 0, 0 = -3*r - 2*t + 9 + 2. Let o(i) = -3*i + 34. Let b be o(8). Factor -y**2 - 8*y**3 + b*y**r - 3*y**2.
2*y**2*(y - 2)
Let w be 250/120 - 2*1. Let s(t) be the second derivative of 0 + 1/6*t**3 + 2*t + 0*t**2 + w*t**4. Factor s(o).
o*(o + 1)
Let t(w) be the first derivative of -w**6/27 - 4*w**5/45 + 4*w**3/27 + w**2/9 - 12. Factor t(g).
-2*g*(g - 1)*(g + 1)**3/9
Let c = -21 + 47. Let r = -26 + c. Find n, given that 9/5*n**3 + 3/5*n + r - 12/5*n**2 = 0.
0, 1/3, 1
Let u(t) be the first derivative of -3*t**4/2 - 10*t**3/3 + 4*t**2 + 8*t + 13. Factor u(s).
-2*(s - 1)*(s + 2)*(3*s + 2)
Let q(p) = 2*p - 9. Let j be q(7). Solve -3*y**3 - 5*y**2 - 2*y**5 - 3*y**4 - 2*y + 2*y**j + y**5 + 4*y**4 = 0 for y.
-1, 0, 2
Let n(p) = 2*p**3 - 3*p**2 - p + 2. Let i(m) = 10*m**3 - 15*m**2 - 6*m + 11. Suppose -5*h - 132 = -h. Let g(y) = h*n(y) + 6*i(y). Factor g(v).
-3*v*(v - 1)*(2*v - 1)
Let c(z) be the first derivative of -z**6/60 + z**4/4 + 2*z**3/3 - 2*z**2 - 3. Let q(j) be the second derivative of c(j). Factor q(s).
-2*(s - 2)*(s + 1)**2
Let d be 24/(-34)*((-130)/20 + 1). Factor d*k**3 + 32/17*k**5 - 80/17*k**4 + 0 + 2/17*k - 20/17*k**2.
2*k*(k - 1)**2*(4*k - 1)**2/17
Let -s**2 + 0 + 1 + 5*s - 5*s = 0. What is s?
-1, 1
Let x(f) = 4*f - 46. Let u be x(12). Let q(r) be the third derivative of 0*r + 2/5*r**5 + 2/3*r**3 + 3/4*r**4 + u*r**2 + 0 + 1/15*r**6. Let q(l) = 0. What is l?
-2, -1/2
Let q = 6/13 - 5/39. Determine t so that q*t**3 + 1/3*t**5 + 0 + 0*t**2 - 2/3*t**4 + 0*t = 0.
0, 1
Let y = 39/70 - 2/35. Factor -1/2*l**5 + y*l - l**4 + 0*l**3 + 0 + l**2.
-l*(l - 1)*(l + 1)**3/2
Let o(x) = -x - 3. Let w be o(-3). Let t(s) be the first derivative of 0*s**3 - 1/4*s**4 + w*s + 1/2*s**2 - 1. Determine h, given that t(h) = 0.
-1, 0, 1
Let c be 78/63*-3 + 4. Factor 0*t**3 - 8/7*t**5 + 0*t + 0*t**2 + 0 + c*t**4.
-2*t**4*(4*t - 1)/7
Let a(j) be the first derivative of j**3/15 + 2*j**2/5 + 3*j/5 + 11. Factor a(v).
(v + 1)*(v + 3)/5
Let h = -20241/8 + 2536. Factor 33/8*q + 7/8*q**4 + h*q**3 - 9/4 + 91/8*q**2.
(q + 1)*(q + 3)**2*(7*q - 2)/8
Let z(j) = -5*j**5 + 2*j**4 + 7*j**3 - 3*j**2 + 3*j. Let n(a) = -a**5 + a**3 - a**2 + a. Let i(y) = -3*n(y) + z(y). Factor i(d).
-2*d**3*(d - 2)*(d + 1)
Let l be (1 + (-103)/7)/(-2) + -3. Let l*s**2 + 0 - 15/7*s**3 - 27/7*s**4 + 3*s**5 - 6/7*s = 0. What is s?
-1, 0, 2/7, 1
Let k = 26 - 23. Suppose 0 - 1/3*y - y**2 - y**k - 1/3*y**4 = 0. What is y?
-1, 0
Let h(a) = -a**2 + a. Let q(o) = -2*o**2 - 3*o + 5. Let f(b) = 6*h(b) - 2*q(b). Factor f(i).
-2*(i - 5)*(i - 1)
Suppose -2*x = 3*x - 2*f - 20, 3*f + 13 = -x. Factor 5*a + a**x + 3*a + 2*a**2 + a**2.
4*a*(a + 2)
Let k(t) be the third derivative of t**8/23520 + t**7/8820 + t**4/12 - t**2. Let v(n) be the second derivative of k(n). Suppose v(s) = 0. What is s?
-1, 0
Let h(q) be the first derivative of -1 - 1/2*q**2 - 1/4*q - 1/4*q**3. Factor h(i).
-(i + 1)*(3*i + 1)/4
Let o = -1 + 8. Suppose 8*s - 39 = -7. Let -3*z**5 + s*z**4 - o*z**4 + 7*z**3 - z**3 = 0. What is z?
-2, 0, 1
Let x = 14 - 9. Let w(z) be the first derivative of -1/8*z**4 + 1/12*z**6 - 1 + 0*z**2 + 0*z**3 + 0*z + 0*z**x. Solve w(n) = 0.
-1, 0, 1
Let k(y) = y**4 - 2*y + 2. Let w(s) = -5*s**2 - s. Let n be w(-2). Let b(t) = -4*t**4 + 9*t - 9. Let i(m) = n*k(m) - 4*b(m). Factor i(c).
-2*c**4
Suppose r + r - 6 = 0. Suppose r*k + 13 = 4*w + 2*k, -w + 5*k + 8 = 0. Factor -2*v**2 + 3*v**3 - 4*v**3 + 0*v**3 + 2*v**w - v + 2.
(v - 2)*(v - 1)*(v + 1)
Let v(c) = -5*c - 7. Let d be v(-8). Suppose g = -2*g - d. Let o(h) = 3*h**2 - 8*h + 9. Let p(q) = 16*q**2 - 41*q + 45. Let y(j) = g*o(j) + 2*p(j). Factor y(x).
-(x - 3)**2
Let a = 72 + -42. Let b be (6/5)/(9/a). Let -2*f**2 + 2*f**4 - 4 + b + f - f**3 = 0. Calculate f.
-1, 0, 1/2, 1
Suppose 3*n = -p + 7, p + 4 - 12 = -4*n. Let l(u) be the second derivative of -2*u + 0 - 1/2*u**2 - 1/3*u**3 + 7/16*u**p. Factor l(y).
(3*y - 2)*(7*y + 2)/4
Suppose 14*s - 25*s = -22. Solve 4/9*x + 2/9*x**s + 2/9 = 0.
-1
Let r(a) be the second derivative of -1/120*a**6 + 1/24*a**3 + 0*a**2 + 0 + 3/80*a**5 - 2*a - 1/16*a**4. Determine x, given that r(x) = 0.
0, 1
Let w = -1 + 3. Factor -3*a**w + 0*a**2 - a**2 + 3*a**2 + a**4.
a**2*(a - 1)*(a + 1)
Let b = 9 - 1. Let z = -5 + b. Find o, given that -2 + 20*o**z - 17*o**2 + 0 - 11*o**2 + 16*o - 3*o = 0.
2/5, 1/2
Let d(j) = -2*j**4 - 8*j**3 - 12*j**2 + 17*j. Let g(k) = k**4 + 7*k**3 + 12*k**2 - 16*k. Let t(u) = 4*d(u) + 5*g(u). Factor t(i).
-3*i*(i - 2)*(i - 1)*(i + 2)
Let k(z) be the first derivative of 3*z**4/8 - 