ulate q.
-1, 3
Let p(y) = 5*y + 32. Let m be p(-6). Suppose 0*b + 1/6*b**m - 1/6*b**3 + 0 = 0. What is b?
0, 1
Suppose z = 2*z - 4*z. Solve z + 0*x**2 + 1/3*x**4 - 4/3*x + x**3 = 0 for x.
-2, 0, 1
Suppose -34*j + 35*j - 3 = 0. Let k(d) be the third derivative of -1/60*d**6 + 2*d**2 + 0 + 1/4*d**4 + 0*d + 0*d**5 - 2/3*d**j. Let k(i) = 0. What is i?
-2, 1
Let 2/5*f**2 + 2/5*f - 4/5 = 0. What is f?
-2, 1
Solve -3*x**2 - 6*x**3 + 24*x**4 + 18*x**3 - 36*x**4 = 0.
0, 1/2
Suppose -t + 6*t - 15 = 0. Suppose -5*j - t = -13. Let 7*u**3 - 4*u**3 + 3*u**j - u + u**2 - 3*u = 0. What is u?
-2, 0, 2/3
Let -4/3*z + 1/3*z**2 + 4/3 = 0. Calculate z.
2
Let a(s) = -5*s**2 - 12*s - 5. Let p(x) = -10*x**2 - 25*x - 10. Let o(t) = 5*a(t) - 2*p(t). Factor o(g).
-5*(g + 1)**2
Let q be 2/(-90) + 6/(-243)*-9. Let t(s) be the first derivative of 2/5*s**5 + 0*s + 0*s**3 - q*s**4 + 0*s**2 - 1. Factor t(p).
2*p**3*(5*p - 2)/5
Let h be ((-1)/(-9))/((-9)/(-27)). Factor 1/3*c**4 + 0 + c**2 - h*c - c**3.
c*(c - 1)**3/3
Let z(i) be the second derivative of -1/6*i**2 - 1/9*i**3 - 1/36*i**4 + 0 + 3*i. Let z(h) = 0. Calculate h.
-1
Suppose 4*h - 176 = 24. Suppose -3*v - h = -5*g + 2*v, 2*g - 5*v = 26. Let g*a - 2*a**2 + 4*a**3 - 2*a**4 - 8*a = 0. Calculate a.
0, 1
Let s = 45 + -223/5. Let f = -58 + 294/5. Let 2/5*h - 2/5 + 2/5*h**5 + 4/5*h**2 - f*h**3 - s*h**4 = 0. What is h?
-1, 1
Let q(b) = b**2 - 1. Let d be q(0). Let o(a) = -2*a + 1. Let l be o(d). Find g such that 0 + 0*g - 1/5*g**l - 1/5*g**2 = 0.
-1, 0
Factor -5 + 13 - 5*p**2 + 5*p - 8.
-5*p*(p - 1)
Let z(q) be the third derivative of q**5/240 + q**4/96 + 2*q**2. Factor z(f).
f*(f + 1)/4
Let m(o) be the second derivative of o**6/90 - o**5/30 - 5*o**3/6 - 2*o. Let v(q) be the second derivative of m(q). Determine a, given that v(a) = 0.
0, 1
Suppose -15 = 5*m, c - 2*m = 67 - 25. Let 124 + 8*n**3 - 136 + c*n - 33*n**2 + n**3 = 0. What is n?
2/3, 1, 2
Let a(o) = -o**3 + 6*o**2 + o - 2. Let c be a(6). Find h, given that -8*h**5 + 15*h**c + 20*h**5 - 9*h**3 + 2*h - 15*h**2 - 5*h = 0.
-1, -1/4, 0, 1
Factor 1/8*k**3 + 0 - 3/8*k**2 + 1/4*k.
k*(k - 2)*(k - 1)/8
Suppose 4*x - 18 = 4*m - m, 0 = -4*x + 12. Let a be 49/42 + m/3. Find w, given that 1/2*w + a*w**2 - 1/2*w**4 - 1/2*w**3 + 0 = 0.
-1, 0, 1
Suppose -1 = -2*z + 3. Solve -4 + 18*f**z - 2*f + f**3 + 5*f**3 - 10*f**2 = 0 for f.
-1, 2/3
Let 11*j + j - 11*j**3 - 23*j**2 + 7 + 14*j**3 + j = 0. What is j?
-1/3, 1, 7
Let a(t) = 2*t**2 + 5*t - 4. Let r = -2 + -2. Let u be a(r). Factor u*g**3 + 4*g**2 - 7*g - 2 + 62*g**4 + 8*g**2 + 50*g**3 + 21*g**5.
(g + 1)**3*(3*g - 1)*(7*g + 2)
Let o be (-26)/(-120) + (-2)/10. Let s(j) be the third derivative of 1/6*j**3 + 2*j**2 + 0 + 0*j - o*j**5 + 0*j**4. Factor s(c).
-(c - 1)*(c + 1)
Let d(j) be the second derivative of -j**10/55440 + j**9/16632 - j**8/18480 - j**4/6 + j. Let r(q) be the third derivative of d(q). Factor r(b).
-2*b**3*(b - 1)*(3*b - 2)/11
Let g(t) be the second derivative of 0*t**3 - 3*t + 0*t**2 + 0 - 1/30*t**4. Solve g(l) = 0 for l.
0
Let g(h) be the second derivative of -7*h + 3*h**2 - 3/20*h**5 + 0*h**4 + 3/2*h**3 + 0. Factor g(j).
-3*(j - 2)*(j + 1)**2
Let d(y) be the third derivative of y**2 + 0*y**5 - 1/120*y**6 + 0 + 0*y + 1/96*y**8 - 1/84*y**7 + 0*y**3 + 0*y**4. What is a in d(a) = 0?
-2/7, 0, 1
Let b be (0 + 4*(-3)/6)/(-6). Let t be (-1)/2 + 25/30. Factor -t + b*r**3 - r**2 + r.
(r - 1)**3/3
Suppose 5*z + 12 = -3. Let l = 6 + z. Solve -5 + 2 + 3 - h**l = 0.
0
Let n(t) be the third derivative of -t**10/30240 + t**9/15120 + t**4/8 - 2*t**2. Let m(d) be the second derivative of n(d). What is q in m(q) = 0?
0, 1
Suppose -3*d + y + 28 = 0, y = -y + 4. Let k = d - 10. Find w such that -2/3*w - 2*w**3 - 2/3*w**4 - 2*w**2 + k = 0.
-1, 0
Solve q + 6 + 13 - q**2 - 7*q - 28 = 0 for q.
-3
Let t(d) = 2*d**5 - d**4 + 5*d**3 + 5*d**2 - 4*d + 2. Let g(i) = i**5 - i**4 + 4*i**3 + 4*i**2 - 3*i + 1. Let p(m) = -6*g(m) + 4*t(m). Factor p(a).
2*(a - 1)**2*(a + 1)**3
Factor -3*f**4 - 6 - 4*f**3 + 3*f + 9*f**2 + 2*f**3 - f**3.
-3*(f - 1)**2*(f + 1)*(f + 2)
Factor -u**2 + 8*u**2 + 7*u**2 + 3*u - 2*u**2 - 3*u**3 - 12.
-3*(u - 4)*(u - 1)*(u + 1)
Suppose 4*q = -4*u + 12, -5 - 4 = -3*u. Let t = -13 + 13. Find z, given that 0*z**2 + t*z - z**4 + q - 1/3*z**3 = 0.
-1/3, 0
Let m = 20 + -20. Let f(d) be the second derivative of m - 2*d + 2*d**2 - 2/3*d**3 - 1/4*d**4. Factor f(l).
-(l + 2)*(3*l - 2)
Let n be 4/140*7 - (-2)/(-10). Factor -2/3*d**4 - 1/3*d**5 + n*d**2 + 0 - 1/3*d**3 + 0*d.
-d**3*(d + 1)**2/3
Let v(p) be the third derivative of p**6/360 + p**5/180 - 18*p**2. Factor v(l).
l**2*(l + 1)/3
Let r be -2 + 5 - (-1 - -15). Let j be r/55*(-10)/6. Let -j*x**2 - 1/3*x**4 + 2/3*x**3 + 0*x + 0 = 0. Calculate x.
0, 1
Factor 36*k + 12*k**4 + 18*k**4 + 16*k**3 + 8 + 40*k**3 - 6*k**4 + 4*k**5 + 64*k**2.
4*(k + 1)**4*(k + 2)
Let f(i) be the third derivative of 1/120*i**6 + 1/60*i**5 + i**2 + 0*i - 1/24*i**4 - 1/6*i**3 + 0. What is x in f(x) = 0?
-1, 1
Let v(z) = -z**3 + 10*z**2 + 12*z - 7. Let u be v(11). Factor 1/4*g**u + 1/4 + 0*g**3 + 0*g - 1/2*g**2.
(g - 1)**2*(g + 1)**2/4
Let s(f) = -3*f**4 + 2*f**3 - f**2 + 6*f - 4. Let p(g) = 4*g**4 - 3*g**3 + g**2 - 7*g + 5. Let d(y) = 4*p(y) + 5*s(y). Find h such that d(h) = 0.
-1, 0, 1, 2
Let x(p) be the first derivative of p**6/120 + p**5/30 - p**4/6 - 4*p**3/3 - 5*p**2/2 - 3. Let v(f) be the second derivative of x(f). Factor v(z).
(z - 2)*(z + 2)**2
Let w(v) be the first derivative of -4*v**3 + 15*v**2/2 - 3*v + 1. Determine d, given that w(d) = 0.
1/4, 1
Let k = -13 - -5. Let u be 6/14*k/(-6). Solve -2/7*m**4 + 0*m**2 + 2/7 + u*m**3 - 4/7*m = 0 for m.
-1, 1
Let f be ((-6)/(-8))/(6/24). Factor -3*s**2 + f + 1 + 271*s**4 + 4*s - 2*s**3 - 270*s**4.
(s - 2)**2*(s + 1)**2
Let p(f) be the second derivative of 3*f**5/5 - 2*f**4/3 - 14*f**3/3 - 4*f**2 + 15*f. Factor p(q).
4*(q - 2)*(q + 1)*(3*q + 1)
Factor 0 + 80*a**3 - 260*a + 265*a - 40*a**2 + 0.
5*a*(4*a - 1)**2
Suppose 2*a = -5*g + 14, -2*g + 4*a - 4 = -0*a. Factor 2/3*w**g + 0*w - 1/3*w**4 + 0*w**3 - 1/3.
-(w - 1)**2*(w + 1)**2/3
Let x(g) be the second derivative of 1/33*g**3 + 0 + 5/66*g**4 + 2*g - 2/11*g**2 + 1/55*g**5. What is u in x(u) = 0?
-2, -1, 1/2
Let t(l) be the first derivative of -2*l**5/5 + 3*l**4/2 - 2*l**3 + l**2 + 2. Factor t(r).
-2*r*(r - 1)**3
Let y = -71/45 + 9/5. Factor y*n + 4/9*n**2 + 0.
2*n*(2*n + 1)/9
Let s(u) = u**3 + u**2 - u - 1. Let t(g) = -6*g**3 - 4*g**2 + 16*g - 6. Suppose -9*q + 5*q = 8. Let p(r) = q*s(r) + t(r). Factor p(m).
-2*(m - 1)*(m + 2)*(4*m - 1)
Let z = 9 - 21. Let t be (2/4)/(z/(-8)). Suppose 1/3*n**2 + t + 2/3*n = 0. Calculate n.
-1
Suppose -3*w = 5*r + 3, -2 = -r - 4*w - 6. Let d(q) be the first derivative of -2 + 1/14*q**4 + 0*q**2 - 2/21*q**3 + r*q. Factor d(u).
2*u**2*(u - 1)/7
Let j be 4/(-8)*2*-12. Let l(z) = z - 12. Let d be l(j). Factor s**3 - 5/2*s**2 + d + s.
s*(s - 2)*(2*s - 1)/2
Let s(y) be the first derivative of -4*y**3/3 - 18*y**2 - 32*y + 19. Determine n, given that s(n) = 0.
-8, -1
Let x(d) be the first derivative of -4/3*d**3 - 1 + 3/2*d**4 - 3*d**2 + 4*d. Factor x(u).
2*(u - 1)*(u + 1)*(3*u - 2)
Let h = -2 + 1. Let v(l) = -6*l**4 - 10*l**3 - 2*l**2 - 6*l. Let o(g) = g**4 + g**3 + g. Let s(y) = h*v(y) - 8*o(y). Solve s(m) = 0 for m.
-1, 0, 1
Let x(p) be the second derivative of p**4/36 + p**3/3 + 5*p**2/6 - 2*p - 13. Determine i, given that x(i) = 0.
-5, -1
Let u be 2 - 8 - -5 - -1. Factor 3/5*d**4 + 0 + 0*d + u*d**2 + 3/5*d**3.
3*d**3*(d + 1)/5
Let z(f) = -16*f**3 - 10*f**2 + 10*f + 4. Let t(d) = -17*d + 2. Let x be t(-2). Let p(j) = -j**3 - j**2. Let a(g) = x*p(g) - 2*z(g). Let a(s) = 0. What is s?
-2, -1
Let h(p) be the second derivative of -p**5/30 - p**4/3 - 4*p**3/3 - 8*p**2/3 - p. Factor h(n).
-2*(n + 2)**3/3
Let p be ((-60)/(-16))/(-5)*-4. Factor -q**3 + p*q - 3*q**2 + 4*q**3 + 9*q**2.
3*q*(q + 1)**2
Let n be (-4)/9*57/(-38). Let u be 12/9*(-2)/(-8). Factor 0 - n*z**2 - 1/3*z**3 - u*z.
-z*(z + 1)**2/3
Factor -4*r - 2*r**3 - 250*r**2 + r**3 + 245*r**2.
-r*(r + 1)*(r + 4)
Let h(z) be the third derivative of z**8/672 + 2*z**7/105 + 3*z**6/40 - 9*z**4/16 - 7*z**2. Factor h(o).
o*(o - 1)*(o + 3)**3/2
Suppose 0 = -4*d - d + 20. Factor -2*j**2 - d*j + 0*j - 2 + 8*j.
-2*(j - 1)**2
Let i = -20 + 24. Let