ative of 0 + 0*q**2 - z*q**5 + 2*q - 1/24*q**3 + 1/24*q**4. Solve m(y) = 0.
0, 1
Suppose 2*x + 2 - 76 = 0. Factor 15*h**2 + 8 + x*h - h + 4.
3*(h + 2)*(5*h + 2)
Let d = 13 + -37. Let p be (32/d)/((-2)/3). Factor 9*x + 2*x**p + 2*x**5 - 6*x**2 + 4*x**4 - 11*x.
2*x*(x - 1)*(x + 1)**3
Let s(j) be the third derivative of 7*j**5/240 - j**4/48 - 9*j**2. Determine q, given that s(q) = 0.
0, 2/7
Let i = -30 - -34. Let k(y) be the first derivative of 0*y**3 - 1/4*y + 1/8*y**i + 1/20*y**5 + 1 - 1/4*y**2. Let k(x) = 0. What is x?
-1, 1
Let u be 8/6 + 120/72. Factor 0*c + 0 - 2/7*c**2 + 2/7*c**u.
2*c**2*(c - 1)/7
Let p(x) be the third derivative of 0*x**3 - 1/36*x**4 + 1/270*x**5 + 0 + 3*x**2 + 0*x. Factor p(b).
2*b*(b - 3)/9
Let y(f) be the first derivative of -f**6/30 + f**5/10 - f**3/3 + f**2/2 + 3*f + 3. Let d(p) be the first derivative of y(p). Factor d(u).
-(u - 1)**3*(u + 1)
Let l(a) be the second derivative of a**4/60 - a**3/30 + 6*a. Factor l(f).
f*(f - 1)/5
Factor -q + 100 - 5*q + 17*q + 9*q + q**2.
(q + 10)**2
Let t(l) be the first derivative of -l**4 - 4*l**3/3 - 7. Suppose t(q) = 0. Calculate q.
-1, 0
Let s(m) be the first derivative of -m**3 + 3*m**2 - 3*m - 6. Factor s(b).
-3*(b - 1)**2
Let r be 1/((-1 + 5)/(-12)) - -3. Let i = -6 + 8. Factor r*u - 1/3*u**i + 0.
-u**2/3
Let h(j) = j**2 + 5*j + 7. Let o be h(-6). Suppose g - g**3 - o*g**2 + 13*g**2 = 0. Calculate g.
-1, 0, 1
Let c(t) = 3*t**3 + 2*t**2 - 2*t + 1. Let m = -8 + 9. Let u be c(m). Factor 2/9*a**3 + 0*a**2 + 0*a + 0 + 2/9*a**u.
2*a**3*(a + 1)/9
Suppose -2*w + 5*z + 1 = -11, -3*z + 18 = 3*w. Suppose 0*r + 3*r - w = 0. Find u, given that -r*u**3 + 8*u - 7*u**3 - 24*u**2 - 5*u**3 = 0.
-2, 0, 2/7
Let a = -109 - -109. Factor a*z + 2/5*z**2 - 2/5.
2*(z - 1)*(z + 1)/5
Let k(j) be the third derivative of -j**8/336 + j**7/105 - j**5/30 + j**4/24 + 8*j**2. Suppose k(a) = 0. Calculate a.
-1, 0, 1
Let g(v) = 5*v - 2. Let a be g(3). Let f = 13 - a. Let f*k**3 + 0*k - k**2 + 1/2 + 1/2*k**4 = 0. Calculate k.
-1, 1
Let h(i) = -i**2. Let y(j) = -6*j**3 + 11*j**2 + 2*j - 1. Let l(v) = -3*h(v) - y(v). Let o(w) be the first derivative of l(w). Let o(z) = 0. What is z?
-1/9, 1
Let f = 309/28 - 72/7. Let h(w) be the second derivative of -f*w**3 + 2*w - 1/5*w**6 + 1/10*w**5 + 5/12*w**4 + 1/2*w**2 + 0 + 5/84*w**7. Factor h(t).
(t - 1)**3*(t + 1)*(5*t - 2)/2
Suppose 4/5 + 2*s - 6/5*s**2 = 0. Calculate s.
-1/3, 2
Let z(n) be the third derivative of -n**8/6720 - n**7/3360 - n**3/3 - 2*n**2. Let f(d) be the first derivative of z(d). Factor f(w).
-w**3*(w + 1)/4
Factor -3/5*j**3 - 24/5*j**2 + 3/5*j**4 + 0 + 36/5*j.
3*j*(j - 2)**2*(j + 3)/5
Let s(i) be the first derivative of 10*i**6/3 + 8*i**5 + 15*i**4/4 - 10*i**3/3 - 5*i**2/2 + 1. Determine q, given that s(q) = 0.
-1, -1/2, 0, 1/2
Let q = 35126/11 - 3196. Let t = q + 71/22. Factor -1/4*a**3 + t*a**2 + 0 - 1/4*a.
-a*(a - 1)**2/4
Factor 5/2*j**4 + 125/2*j**2 + 0 + 0*j - 25*j**3.
5*j**2*(j - 5)**2/2
Let i = 63/2 - 31. What is c in i*c**2 + 9/2 - 3*c = 0?
3
Let p = 5 + -1. Factor -d**2 - d + 0*d + 0*d + d**p + d**3.
d*(d - 1)*(d + 1)**2
Let d(z) be the third derivative of -5*z**4/24 - z**3/6 + 4*z**2. Let s(c) = -c**2 - 6*c - 2. Let u(j) = 6*d(j) - 4*s(j). Factor u(t).
2*(t - 1)*(2*t - 1)
Let y(b) be the second derivative of -b**4/30 - b**3/5 - 2*b**2/5 + 2*b. Factor y(j).
-2*(j + 1)*(j + 2)/5
Let u = -249 - -251. Find f, given that 4/3*f + 6*f**u + 0 = 0.
-2/9, 0
Let v(k) be the third derivative of -k**8/728 + k**7/195 - k**6/390 + 2*k**2. Factor v(h).
-2*h**3*(h - 2)*(3*h - 1)/13
Let n = -5/13 + 38/65. Factor 0*c + 0 - 1/5*c**2 - n*c**3 + 1/5*c**4 + 1/5*c**5.
c**2*(c - 1)*(c + 1)**2/5
Let h(r) be the first derivative of -r**6/80 + r**5/120 + r**4/24 + r**2 - 8. Let v(k) be the second derivative of h(k). Solve v(f) = 0 for f.
-2/3, 0, 1
Suppose 0 = 2*w + 4*q + 4, 2*q + 3 = -1. What is i in -8 + 6*i**2 + 4*i + w*i**3 + 8 = 0?
-2, -1, 0
Suppose 3*z + 20 = 3*c - 1, 5*z + 26 = 2*c. Factor -7 + 4*g**3 - 9*g - 3*g**3 + 13 + 2*g**c.
3*(g - 1)**2*(g + 2)
Let f(j) = -5*j**3 + 7*j**2 + 10*j. Let l(i) = -9*i**3 + 15*i**2 + 21*i. Suppose m + 3 = -6. Let o(c) = m*f(c) + 4*l(c). Determine b so that o(b) = 0.
-2/3, 0, 1
Let l be (-4)/(-15) - (-68)/170. Suppose 0 - l*d**2 - 2/3*d = 0. Calculate d.
-1, 0
Let r(p) be the first derivative of 2*p**5/15 - 7*p**4/3 + 8*p**3 - 34*p**2/3 + 22*p/3 - 30. Find a, given that r(a) = 0.
1, 11
Suppose -7*y + 5*c + 20 = -2*y, 0 = 5*y - 2*c - 14. Let u(h) = h + 1. Let g(r) = -4*r**2 - 6*r - 7. Let z(v) = y*g(v) + 14*u(v). What is k in z(k) = 0?
0, 1/4
Let l(p) = -p**2 + 4*p - 8. Let r be (2/3)/(6/(-45)). Let j(b) = -2*b**2 + 12*b - 24. Let f(o) = r*j(o) + 14*l(o). Determine s so that f(s) = 0.
-2, 1
Let p(b) = -7*b**4 - 7*b**3 + 4*b**2 + 5*b + 5. Let j(v) = -22*v**4 - 22*v**3 + 12*v**2 + 16*v + 16. Let y(t) = 5*j(t) - 16*p(t). Factor y(m).
2*m**2*(m - 1)*(m + 2)
Let o(s) = 9*s**5 + 15*s**4 - 9*s**3 + 9*s**2 + 12*s. Let d(g) = g**5 + g**3 + g**2 - g + 1. Let x(p) = 12*d(p) - o(p). Let x(h) = 0. Calculate h.
-1, 1, 2
Let l = 14 + -9. Solve l*g**2 - g**2 + g**3 + 4*g**3 - 3*g**3 + 2*g = 0.
-1, 0
Let o(u) be the second derivative of -4*u**7/21 - 14*u**6/15 - 8*u**5/5 - 2*u**4/3 + 4*u**3/3 + 2*u**2 - 3*u. Factor o(s).
-4*(s + 1)**4*(2*s - 1)
Determine n, given that 7*n**4 + 13*n - 13*n**4 + 9*n**5 + 8*n - 30*n**3 + 6 + 0 = 0.
-1, -1/3, 1, 2
Let u(o) = -12*o**4 + 4*o**3 + 12*o**2 - 4*o. Let v(f) = 4*f**4 - f**3 - 4*f**2 + f. Let n(g) = 5*u(g) + 16*v(g). Factor n(i).
4*i*(i - 1)*(i + 1)**2
Factor -15*n - 20*n**2 + 5*n**4 + 17*n**4 + 5*n**5 + 11*n**3 - n**3 - 2*n**4.
5*n*(n - 1)*(n + 1)**2*(n + 3)
Let f(v) be the second derivative of v**4/12 - 4*v. Let t(q) be the first derivative of -4*q**3 - q**2 - q - 2. Let h(a) = 22*f(a) + 2*t(a). Factor h(w).
-2*(w + 1)**2
Suppose 1 - 3 = -2*n. Let k(f) be the first derivative of n + 4/9*f**3 - 1/6*f**4 + 1/3*f**2 - 4/3*f. Determine s, given that k(s) = 0.
-1, 1, 2
Factor 1/2*j - 1/3 - 1/6*j**2.
-(j - 2)*(j - 1)/6
Factor -27/2*a - 27 - 9/4*a**2 - 1/8*a**3.
-(a + 6)**3/8
Let v(u) = 2*u - 6. Let h be v(4). Let s(y) be the third derivative of 1/16*y**4 - 1/40*y**5 + 1/240*y**6 - 3*y**h + 0*y - 1/12*y**3 + 0. Factor s(x).
(x - 1)**3/2
Let v(j) be the first derivative of 5*j**3/4 + 3*j**2/8 + 7. Factor v(o).
3*o*(5*o + 1)/4
Let t be (-1)/(0 + 4/(-8)). Solve 8/5 + 32/5*h - 10*h**3 + 2*h**t = 0.
-2/5, 1
Suppose 2*w + 2 = -5*p, 3*w = -4*p - p - 3. Let i(b) = -b**3 - b. Let c be i(p). Factor 0*u**3 + c + 9/4*u**2 - 27/4*u**4 - 1/2*u.
-u*(3*u - 1)**2*(3*u + 2)/4
Let s(a) be the second derivative of 0 + 1/2*a**3 - 1/4*a**4 + 0*a**2 - 3*a. Solve s(f) = 0 for f.
0, 1
Suppose 5 = -2*m + 9. Determine p so that -4*p**2 - 2*p + 9 - 9 + m*p**2 = 0.
-1, 0
Suppose -6*y - 12 = -10*y. Let x(m) be the third derivative of -1/9*m**4 - 1/315*m**7 + 0 - 1/9*m**y + 0*m - 1/15*m**5 - 1/45*m**6 + m**2. Solve x(t) = 0.
-1
Let p be 7 + (-18)/(2 - -4). Suppose 0*w - 4/7*w**3 + 2/7*w**p + 2/7*w**2 + 0 = 0. Calculate w.
0, 1
Let g be ((-6)/(-8))/((-9)/(-6)). Factor 1/2 + 3/4*y - g*y**2 - 3/4*y**3.
-(y - 1)*(y + 1)*(3*y + 2)/4
Let r be (-228)/(-30) - (-4)/10. Let j be 2/r + 6/(-24). Factor 1/2*o**2 + 1/2*o + j.
o*(o + 1)/2
Let w be 0*-8*9/(-288). Factor 0 - 1/5*k**2 + 2/5*k**3 + w*k - 1/5*k**4.
-k**2*(k - 1)**2/5
Let c be 1/4 + (-4)/(-16). Let f(t) = -t + 2. Let q be f(2). Solve -1/4*l**4 - 1/4 + c*l**2 + q*l + 0*l**3 = 0.
-1, 1
Let h(r) be the first derivative of -3/25*r**5 + 1/5*r**3 + 1/10*r**6 - 4 - 3/20*r**4 + 0*r**2 + 0*r. Factor h(p).
3*p**2*(p - 1)**2*(p + 1)/5
Let j = 14 + -9. What is n in -1 + 6*n - j*n**2 - 1 - 1 + 2*n**2 = 0?
1
Suppose 0 = -2*z + 5*i + 9, 3*z + 4*i - 3 + 1 = 0. Let q(s) = 3*s**2 - 5*s + 2*s**2 + z*s. Let f(j) = 6*j**2 - 4*j. Let n(d) = -3*f(d) + 4*q(d). Factor n(p).
2*p**2
Let g(c) = c**2 + c + 1. Let u(o) = -10*o**2 + 6*o - 14. Let t(d) = 6*g(d) + u(d). Suppose t(k) = 0. Calculate k.
1, 2
Let u(o) be the first derivative of o**6/60 + o**5/10 + o**4/4 + o**3/3 - o**2 - 1. Let s(g) be the second derivative of u(g). Find n, given that s(n) = 0.
-1
Let q(w) = -w**3 - 3*w**2 + 3*w - 2. Let h be q(-4). Factor -h*z**2 + 4 - 4*z**2 + 0 - 4*z**3 + 4*z - z**4 + 3*z**2.
-(z - 1)*(z + 1)*(z + 2)**2
Let x(a) = -16*a**2 - 2*a