*z**2 + 1/105*z**6 + 1/70*z**5 + z. Factor m(c).
2*(c - 2)*(c + 1)**3/7
Let q(d) = -d**4 - 2*d**3 - 5*d**2 - 2. Let f(x) = -x**4 - x**3 - x**2 + x - 1. Let p(s) = -6*f(s) + 3*q(s). Factor p(u).
3*u*(u - 2)*(u + 1)**2
Suppose -17 = -2*d - 2*d + 5*c, -d = -2*c - 5. Let 0 + 4/3*a + 1/3*a**d - 4/3*a**2 = 0. What is a?
0, 2
Let c(g) be the third derivative of -g**9/189 - g**8/140 + g**6/360 + 5*g**3/6 - g**2. Let d(i) be the first derivative of c(i). Find p, given that d(p) = 0.
-1/2, 0, 1/4
Let b be (-4 - -4 - -3) + (-178)/60. Let p(n) be the first derivative of -2/25*n**5 + 0*n**4 + b*n**6 - 3 + 2/15*n**3 - 1/10*n**2 + 0*n. Factor p(k).
k*(k - 1)**3*(k + 1)/5
Suppose -40*i - 5 = m - 41*i, 5*m + 4*i = 20. Find c such that -26/5*c**3 + 5*c**5 + m - 36/5*c**2 - 8/5*c + 9*c**4 = 0.
-2, -2/5, 0, 1
Let y(b) = 2*b**5 - 3*b**4 - 2*b**3 + 3*b + 3. Let h(s) = -6*s**5 + 9*s**4 + 6*s**3 - 8*s - 8. Let o(z) = -3*h(z) - 8*y(z). Suppose o(g) = 0. Calculate g.
-1/2, 0, 2
Let o(a) = -a**4 - 3*a**2 - 5*a - 1. Let k(y) = y**2 + y. Let u(i) = -5*k(i) - o(i). Suppose u(v) = 0. Calculate v.
-1, 1
Let w be 15/25 - (-1 + 0). Let p be 6/(-14) + 497/245. Find a such that -2/5*a**2 + w*a - p = 0.
2
Let m(z) be the first derivative of 0*z - 2/5*z**5 - z**2 + 1/2*z**4 + 2/3*z**3 + 1. Factor m(p).
-2*p*(p - 1)**2*(p + 1)
Suppose 41 = 5*y + 41. Suppose -4*x = 20, 25 = -4*r - 5*x - 0*x. Solve 2/5*q**3 + r + 4/5*q**2 + y*q = 0.
-2, 0
Let g(p) be the second derivative of p**5/60 - p**4/12 + p**3/6 + p**2 - 3*p. Let h(u) be the first derivative of g(u). Suppose h(t) = 0. Calculate t.
1
Let g be 1*(-2 - 0)*(-12)/72. Factor 5/3*x**3 - 2/3*x**2 + 0 - 4/3*x**4 + g*x**5 + 0*x.
x**2*(x - 2)*(x - 1)**2/3
Determine v so that -2/13*v**2 + 8/13*v - 6/13 = 0.
1, 3
Let l(a) be the second derivative of -5*a**7/42 + a**5/4 + 8*a. Suppose l(k) = 0. Calculate k.
-1, 0, 1
Suppose -12/5*i**2 + 12/5 + 4/5*i**3 - 4/5*i = 0. What is i?
-1, 1, 3
Let i be (0 + (-1)/10)/(85/(-2040)). Factor -i*w + 0 + 12*w**2 - 15*w**3.
-3*w*(5*w - 2)**2/5
Let c = -93/44 + 26/11. Let z be (-11)/(-12) - (-6)/(-9). Factor -z - c*d**5 + 1/2*d**2 - 1/4*d**4 - 1/4*d + 1/2*d**3.
-(d - 1)**2*(d + 1)**3/4
Find c such that 0*c**2 - 10 - 10*c**2 - 74*c + 141*c**3 + 1620*c**4 + 9*c + 579*c**3 + 945*c**5 = 0.
-1, -1/3, 2/7
Let x(d) = d**3 - 3*d**2 - d + 6. Let g be x(3). Suppose 6 = -w + g*w. Factor 1/4*b**5 - 1/2 - 7/4*b - 1/2*b**w + 1/2*b**4 - 2*b**2.
(b - 2)*(b + 1)**4/4
Let q(l) = 210*l**3 - 125*l**2 - 210*l + 70. Let j(a) = -15*a**3 + 9*a**2 + 15*a - 5. Let w(t) = 55*j(t) + 4*q(t). Factor w(b).
5*(b - 1)*(b + 1)*(3*b - 1)
Let s(h) = -h + 0 + 0 + 1. Let f be s(-5). Factor f*t - 5 + 2*t**3 + 5 + 6*t**2 + 2 + 0.
2*(t + 1)**3
Let b = -28 - -57/2. Factor -3/2*j - 1/2*j**3 + b + 3/2*j**2.
-(j - 1)**3/2
Suppose 4*s - 11 = -9*f + 8*f, f - 5*s + 7 = 0. Let y(r) be the first derivative of -4 - r**f - 3/5*r**5 + 0*r + 0*r**2 - 15/8*r**4. Factor y(l).
-3*l**2*(l + 2)*(2*l + 1)/2
Let r(v) be the first derivative of -2*v**3/21 - v**2/7 - 2. Factor r(j).
-2*j*(j + 1)/7
Find y such that 0 - 2/17*y**2 + 6/17*y = 0.
0, 3
Suppose -4*r - 4 = -2*w - 0, -r - 3*w + 13 = 0. Let h(o) = -o**2 + o + 1. Let c(f) = -f**2 + 2*f - 3. Let l(v) = r*c(v) + 2*h(v). Factor l(p).
-(p - 1)*(3*p - 1)
Suppose 5*y - 9*y + 8 = 0. Let a(n) be the first derivative of -2*n**y - 2 + 1/3*n**3 + 4*n. Determine f so that a(f) = 0.
2
Factor 64/3*z**4 + 0*z + 4/9*z**2 + 0 + 256/9*z**5 + 16/3*z**3.
4*z**2*(4*z + 1)**3/9
Let i(p) be the second derivative of p**5/300 - 2*p**3/15 - 3*p**2 + 4*p. Let m(a) be the first derivative of i(a). Factor m(h).
(h - 2)*(h + 2)/5
Let x(q) = 5*q**4 - 20*q**3 + 20*q**2 + 2*q + 2. Let c(g) = 15*g**4 - 60*g**3 + 60*g**2 + 7*g + 7. Let k(u) = 2*c(u) - 7*x(u). Factor k(z).
-5*z**2*(z - 2)**2
Let z(h) = h**3 + 7*h**2 + 5*h - 4. Let l be z(-6). Determine j so that -j**2 + 0*j**l + 4*j**2 + 0*j**2 = 0.
0
Let c be (-29)/(-28) - (4 - 52/16). Factor -4/7*b + c*b**2 + 0.
2*b*(b - 2)/7
Suppose -5*d = -3*a + 85, 2*d - 3*a + 6 = -37. Let v be (-18)/(-63) - (-4)/d. Factor 0*r + 0*r**2 - 1/4*r**3 + 0 + v*r**4 + 1/4*r**5.
r**3*(r - 1)*(r + 1)/4
Factor 3/5*g**3 + 27*g - 36/5*g**2 - 30.
3*(g - 5)**2*(g - 2)/5
Let i(q) be the second derivative of 0*q**4 - 9*q - 2/5*q**5 - 4/15*q**6 + 0*q**3 + 0 + 0*q**2 + 1/7*q**7. Suppose i(f) = 0. What is f?
-2/3, 0, 2
Suppose 0 = 2*x - 0*x - 14. Let m(z) be the third derivative of 1/6*z**4 + 1/3*z**3 + 0*z + 0 - 1/105*z**x - 1/30*z**6 + 2*z**2 + 0*z**5. Factor m(y).
-2*(y - 1)*(y + 1)**3
Factor -2/5*c + 0 + 1/5*c**2.
c*(c - 2)/5
Let j(g) be the second derivative of -57/100*g**5 + 0 + 0*g**2 + 2/5*g**3 - 2/5*g**4 - 7/50*g**6 - g. What is r in j(r) = 0?
-2, -1, 0, 2/7
Let v(g) = -g - 1. Let u be v(-6). Suppose -2 = u*b - 17. Let -2*j**4 + 4*j**2 - 2*j**2 - 3*j**5 - 4*j**5 + 7*j**b = 0. What is j?
-1, -2/7, 0, 1
Suppose 5*h + 0*s - 2*s = 27, 4*s = 3*h - 19. Suppose -h*i - 3 = -u - 8*i, 4*u = 3*i - 3. Determine o so that u + 1/4*o**4 - 1/4*o**2 + 1/4*o**3 - 1/4*o = 0.
-1, 0, 1
Suppose 5*k - 33 = 2*n, 4*k - 4*n - 41 = -k. Factor 0*l + 0 - 6/5*l**3 - 6/5*l**4 - 2/5*l**2 - 2/5*l**k.
-2*l**2*(l + 1)**3/5
Let s(u) be the third derivative of 0 - 2*u**2 - 1/150*u**5 - 1/300*u**6 + 0*u + 1/60*u**4 + 1/15*u**3. Factor s(x).
-2*(x - 1)*(x + 1)**2/5
Let s be (3/(-2))/((-6)/24). Determine d so that -2 - 7*d**2 + 2 + s*d**2 - 2*d = 0.
-2, 0
Suppose 5*u + 5*u = 0. Let k(m) be the second derivative of u - 1/10*m**2 - m + 2/15*m**3 - 1/20*m**4. Factor k(w).
-(w - 1)*(3*w - 1)/5
Let i(b) be the third derivative of -2*b**7/315 + 2*b**5/15 - 4*b**4/9 + 2*b**3/3 - 6*b**2. Factor i(d).
-4*(d - 1)**3*(d + 3)/3
Let f(p) be the first derivative of 0*p - p**2 + 0*p**4 - 1/21*p**3 + 1/210*p**5 + 1. Let q(b) be the second derivative of f(b). Find s such that q(s) = 0.
-1, 1
Suppose 12 = 4*j + 4*a, 2*a - 3 = 5*j + a. Find h, given that 1/4*h**2 + 0 + 0*h**3 + j*h - 1/4*h**4 = 0.
-1, 0, 1
Let i(d) be the third derivative of d**6/220 + 2*d**5/165 + d**4/132 + 18*d**2. Factor i(u).
2*u*(u + 1)*(3*u + 1)/11
Let i(r) = -r**5 - r**4 + r - 1. Let n(a) = -5*a**5 - 4*a**4 + 2*a**3 + 3*a - 4. Let b(q) = -12*i(q) + 3*n(q). Determine p, given that b(p) = 0.
-1, 0, 1
Let y(l) = 8*l**5 + 16*l**4 - 12*l**3 - 20*l**2 + 4*l + 12. Let f(d) = -d**5 + d**3 + d**2 + 1. Let p(u) = -4*f(u) + y(u). Factor p(h).
4*(h - 1)*(h + 1)**3*(3*h - 2)
Let j(p) = -6*p**2 - 6*p - 9. Let v(o) = 17*o**2 + 19*o + 26. Let d(n) = -8*j(n) - 3*v(n). Factor d(c).
-3*(c + 1)*(c + 2)
Suppose 0 = -3*n + 9, 5*u = 4*n - n + 11. Let -4/7*q**u + 2/7*q - 2/7*q**3 + 4/7*q**2 + 0 = 0. Calculate q.
-1, -1/2, 0, 1
Let y(n) = 6*n**3 + 27*n**2 + 3*n. Let i(d) = 3*d**3 + 13*d**2 + 2*d. Let t(s) = -9*i(s) + 4*y(s). Find q such that t(q) = 0.
-2, -1, 0
Let l(c) = -8*c**3 - 11*c**2 - 12*c + 21. Let r(u) = 10*u**3 + 12*u**2 + 12*u - 22. Let z(p) = 6*l(p) + 5*r(p). Factor z(g).
2*(g - 4)*(g - 1)*(g + 2)
Let k be (-4)/(-5)*((-122)/22 - -6). Solve -4/11 + 2/11*x**3 + k*x**2 - 2/11*x = 0 for x.
-2, -1, 1
Let b(a) = a**2 + 7*a + 6. Let y be b(-6). Let c(q) be the third derivative of y + 1/60*q**5 + 0*q**3 + 0*q + 1/72*q**4 - 2*q**2. Find f such that c(f) = 0.
-1/3, 0
Let w(c) = -c**2 + 4*c + 24. Let j(f) = f**2 + f + 1. Let n(d) = -4*j(d) + w(d). Find s, given that n(s) = 0.
-2, 2
Factor -14 + 14 - i**2.
-i**2
Let m(p) be the third derivative of 0*p + 1/3*p**4 + 1/15*p**5 + 2*p**2 + 0 + 0*p**3. Factor m(f).
4*f*(f + 2)
Suppose -8/3 + 16/3*u - 2*u**5 - 34/3*u**3 + 2*u**2 + 26/3*u**4 = 0. What is u?
-2/3, 1, 2
Let a(q) be the second derivative of -q**7/84 - q**6/15 - 3*q**5/20 - q**4/6 - q**3/12 + 2*q. Find n such that a(n) = 0.
-1, 0
Let i = -7 + 8. Suppose 0*m - c - i = -m, 25 = 5*m - c. Solve m*s - 16*s**2 + 5*s**2 + 8*s**2 = 0 for s.
0, 2
Let g(q) be the second derivative of q**6/20 - 9*q**5/20 + 9*q**4/8 + 12*q. Solve g(w) = 0.
0, 3
Suppose -3*v - 84 = -3*j, -3*j = -7 + 1. Let y be (-2)/(-5) - v/10. Factor y*d**3 + d**5 - d**4 + 0*d**2 + d**2 + 4*d**4.
d**2*(d + 1)**3
Let a(b) be the third derivative of -b**9/151200 - b**8/50400 + b**7/6300 + b**5/20 - 3*b**2. Let k(d) be the third derivative of a(d). Factor k(t).
-2*t*(t - 1)*(t + 2)/5
Suppose 5*x - x = -x. Determine o, given that 0*o - 2/5*o**2 + x = 0.
0
Suppose -2*m