t q = -9 - -12. Suppose 4*n = -q*f - 2 - 8, 5*n = 3*f + 28. Let x(s) = f*h(s) - 7*r(s). Solve x(p) = 0.
0, 2
Let r(d) = 9*d**3 + 11*d**2 + 25*d + 13. Let n(o) = -10*o**3 - 10*o**2 - 26*o - 14. Let c(i) = -5*n(i) - 6*r(i). Suppose c(b) = 0. Calculate b.
-2, -1
Suppose -i = 3*i. Let o(u) be the third derivative of 0*u + 0*u**4 + 1/180*u**6 + 1/504*u**8 + 0 + i*u**3 + 0*u**5 - 2*u**2 + 2/315*u**7. Factor o(a).
2*a**3*(a + 1)**2/3
Factor -12/7*j**2 + 0 + 3/7*j**3 + 12/7*j.
3*j*(j - 2)**2/7
Let w(h) be the second derivative of -1/4*h**2 - 1/40*h**5 - 1/4*h**3 + h - 1/8*h**4 + 0. Factor w(y).
-(y + 1)**3/2
Let p(n) be the second derivative of -n**7/35 - 2*n**6/15 - n**5/5 + n**3/3 - 3*n**2/2 - 2*n. Let i(w) be the first derivative of p(w). Factor i(l).
-2*(l + 1)**3*(3*l - 1)
Let l(p) be the third derivative of -5*p**2 - 1/84*p**7 - 1/24*p**4 + 0*p + 0 + 1/24*p**5 + 0*p**3 + 1/120*p**6. Find d such that l(d) = 0.
-1, 0, 2/5, 1
Suppose 0*f + f = -4, 0 = -4*m + 4*f + 28. Find w, given that -6*w**2 - m + 2*w - 5*w + 5 + 1 = 0.
-1, 1/2
Find g, given that -2*g - 4/3*g**2 - 2/3 = 0.
-1, -1/2
Let p = 2 - -2. Let m(w) be the third derivative of 0 - w**2 - 1/120*w**5 + 0*w**3 + 1/240*w**6 + 0*w + 0*w**p. Determine y so that m(y) = 0.
0, 1
Suppose 25*u - 320 = -170. Solve u*v**3 - 6 + 9/2*v**2 + 3/2*v**4 - 6*v = 0 for v.
-2, -1, 1
Let l = 43 + -43. Let r(y) be the third derivative of 1/120*y**6 + 0*y**5 + 0*y + 0*y**7 + 0*y**3 + 0 + l*y**4 - 2*y**2 - 1/336*y**8. Factor r(x).
-x**3*(x - 1)*(x + 1)
Let m(a) = 21*a**3 + 3*a**2. Let l be m(1). Factor l*o**3 + 8/5*o**5 + 112/5*o**2 + 52/5*o**4 + 32/5*o + 0.
4*o*(o + 2)**3*(2*o + 1)/5
Let c(z) be the third derivative of z**8/336 - z**7/105 - z**6/15 + 4*z**5/15 + 2*z**4/3 - 16*z**3/3 + 24*z**2. Find g such that c(g) = 0.
-2, 2
Let x(n) = -n - 2. Let p be x(-2). Let m be (p*2/8)/1. Factor 2/7*g**2 - 2/7 + m*g.
2*(g - 1)*(g + 1)/7
Let a be 6/4 + 2/(-4). Let f(g) = -4*g**4 - 12*g**3 + 32*g**2 - 24*g + 2. Let v(d) = -d**4 + d**2 - 1. Let j(u) = a*f(u) - 6*v(u). Factor j(q).
2*(q - 2)**2*(q - 1)**2
Let x(d) be the second derivative of 0 - 1/4*d**4 - 1/10*d**5 + d**2 + 2*d + 1/2*d**3. Factor x(i).
-(i - 1)*(i + 2)*(2*i + 1)
Suppose -3*o - 5 = 2*m - 2*o, 0 = -5*m + 5*o - 20. Let v be (-1)/(m - (-1)/(-2)). Find w such that 2/7*w**2 + 0 - v*w = 0.
0, 1
Let l(o) be the first derivative of 4*o**6/15 - 3*o**4/10 + 2*o**3/15 - 6. Factor l(n).
2*n**2*(n + 1)*(2*n - 1)**2/5
Solve 6*g**3 - 10*g**2 - 5*g**4 - 6*g + 7*g**2 + 8*g**4 = 0.
-2, -1, 0, 1
Factor -3/5*c - 9/5*c**2 + 3/5*c**3 + 3/5*c**4 + 6/5.
3*(c - 1)**2*(c + 1)*(c + 2)/5
Let z(g) be the third derivative of -g**5/510 + 7*g**4/204 + 8*g**3/51 - g**2 + 3*g. Factor z(r).
-2*(r - 8)*(r + 1)/17
Suppose 13 = 3*h + 4*c, 3*c - 18 = -9*h + 4*h. Let n(z) be the first derivative of -2/3*z**2 + 2/3*z - 1 + 2/9*z**h. Factor n(x).
2*(x - 1)**2/3
Suppose 0 = -2*p - 10 + 14. Let n(u) be the second derivative of 0 + 1/12*u**3 + 3*u - 1/24*u**4 + 1/2*u**p. Factor n(x).
-(x - 2)*(x + 1)/2
Let k(v) be the first derivative of -v**3/21 - 3*v**2/7 + v - 48. Suppose k(y) = 0. Calculate y.
-7, 1
Suppose 3*v - 2 = 10. Factor 36*a**3 + 28*a**2 + 11*a**v + 9*a**4 + 0*a + 4*a**5 + a + 7*a.
4*a*(a + 1)**3*(a + 2)
Let p(f) be the first derivative of 0*f**2 - 4/21*f**3 + 0*f - 1/14*f**4 - 4. Factor p(w).
-2*w**2*(w + 2)/7
Let h(p) = -2*p + 10. Let t be h(5). Let f = -9 - -13. Factor t*a + a**3 + 0 - 2/3*a**2 - 1/3*a**f.
-a**2*(a - 2)*(a - 1)/3
Let q = -185 - -743/4. Determine c so that 3/2*c**2 + 3/4*c + 0 + q*c**3 = 0.
-1, 0
Suppose 8/3 - 4/3*w - 4/3*w**2 = 0. Calculate w.
-2, 1
Let x(u) be the first derivative of 7/6*u**6 + u**2 - 23/5*u**5 + 1 + 0*u - 13/3*u**3 + 27/4*u**4. Suppose x(r) = 0. Calculate r.
0, 2/7, 1
Let z(u) = -17*u**4 - 23*u**3 - 30*u**2 - 10*u + 7. Let n(s) = 9*s**4 + 11*s**3 + 15*s**2 + 5*s - 4. Let c(b) = -7*n(b) - 4*z(b). Let c(f) = 0. Calculate f.
-1, 0
Find l, given that 9/2*l**4 + 6*l**3 - 6*l - 2 - 5/2*l**2 = 0.
-1, -2/3, 1
Let b(h) be the first derivative of -h**4/12 - h**3/3 - 11. Factor b(i).
-i**2*(i + 3)/3
Let y(p) be the third derivative of p**7/2100 - p**6/300 + p**5/100 - p**4/60 + 2*p**3/3 + 5*p**2. Let u(z) be the first derivative of y(z). Factor u(w).
2*(w - 1)**3/5
Factor 0*r**3 + 2/13*r + 0 - 6/13*r**2 + 8/13*r**4.
2*r*(r + 1)*(2*r - 1)**2/13
Let h(t) = 5*t**5 - 6*t**4 - t**3 + 3*t**2 + 2*t + 3. Let q(o) = -4*o**5 + 5*o**4 + o**3 - 3*o**2 - o - 2. Let n(i) = -2*h(i) - 3*q(i). Factor n(j).
j*(j - 1)**2*(j + 1)*(2*j - 1)
Let i be (-4)/(-5) + (-24)/30. Find w, given that 1/6*w**3 - 1/6*w + i - 1/3*w**4 + 1/3*w**2 = 0.
-1, 0, 1/2, 1
Let q(d) be the first derivative of 3*d**3 + 39*d**2/2 + 12*d - 31. Factor q(o).
3*(o + 4)*(3*o + 1)
Let c(q) be the second derivative of -4*q + 0*q**3 + 0*q**2 + 0*q**4 - 1/40*q**5 + 1/42*q**7 + 0 + 1/60*q**6. Let c(f) = 0. Calculate f.
-1, 0, 1/2
Suppose -w - 2*v - 4 = -3, -3*w = -3*v - 15. Determine u, given that 2*u**2 + 0 - 6/5*u**w - 4/5*u - 2/5*u**4 + 2/5*u**5 = 0.
-2, 0, 1
Let x be 1/4 - (-20)/48. Factor 2/3*t + 4/3 - x*t**2.
-2*(t - 2)*(t + 1)/3
Suppose 3 = -3*g - 6. Let s be (((-12)/7)/g)/1. Let -s + 6/7*r**2 - 2/7*r = 0. Calculate r.
-2/3, 1
Let a(p) = -p**2. Let w(g) = -4*g - 2*g**2 + 9 - g**2 - 2*g. Let r(x) = 4*a(x) - w(x). Find b such that r(b) = 0.
3
Let t(i) = -i**3 - i**2 - i - 1. Let j be t(-2). Factor -7*n**4 - 30*n**2 + 0*n**5 - 6 + 48*n**4 + 15*n**5 + 12*n**3 - 27*n - j*n**4.
3*(n - 1)*(n + 1)**3*(5*n + 2)
Determine s so that s**3 - 16*s + 16*s - s**2 + 5*s**2 = 0.
-4, 0
Let a = -17 + 17. Factor q + 5*q + a*q**2 + q**2 + q**3 - q**4 - 7*q.
-q*(q - 1)**2*(q + 1)
Let f(b) be the second derivative of 10*b**7/21 - 4*b**6/3 + 5*b**5/4 - 5*b**4/12 + 4*b - 2. Factor f(r).
5*r**2*(r - 1)*(2*r - 1)**2
Find o, given that 24*o**4 - 8*o**4 - 2*o**2 + o**2 - 15*o**4 = 0.
-1, 0, 1
Let y(w) be the second derivative of -w**6/40 + w**5/5 - 3*w**4/8 + 9*w**2/2 + 5*w. Let a(i) be the first derivative of y(i). Factor a(c).
-3*c*(c - 3)*(c - 1)
Factor 15*w**2 - 55*w**3 - 55*w**4 + 50*w**4 - 125*w - 190*w**2.
-5*w*(w + 1)*(w + 5)**2
Let z(a) = -a**3 + 5*a**2 - a - 3. Let j(x) = 2*x**3 - 11*x**2 + 2*x + 7. Let y(c) = c**2 - 5*c - 3. Let q be y(5). Let g(f) = q*j(f) - 7*z(f). Factor g(l).
l*(l - 1)**2
Suppose 26 = 2*g + 5*v, 0 = -2*g - 4*v + 25 + 5. Factor -2*t**2 + g*t**4 - 2*t**5 - 19*t**4 - 2*t**2 + 2*t.
-2*t*(t - 1)**3*(t + 1)
Let y = -2/33 - -19/132. Let j(b) be the third derivative of 1/60*b**5 - 3*b**2 - y*b**4 + 1/6*b**3 + 0 + 0*b. Factor j(t).
(t - 1)**2
Let q(d) be the second derivative of 0 - 1/12*d**4 - d**3 - 9/2*d**2 - 4*d. Determine h so that q(h) = 0.
-3
Let u be -8 + 6 - 98/(-48). Let b(g) be the second derivative of 0*g**3 + g + 0 + 1/20*g**5 + 1/60*g**6 + 0*g**2 + u*g**4. Factor b(s).
s**2*(s + 1)**2/2
Let p = -2 + 3. Let y be p + -2 - 34/(-6). Find t such that 0*t - 14/3*t**3 + y*t**5 + 0 - 4/3*t**4 + 4/3*t**2 = 0.
-1, 0, 2/7, 1
Let 3/4*i - 9/4*i**4 + 0 - 3/2*i**5 + 9/4*i**2 + 3/4*i**3 = 0. What is i?
-1, -1/2, 0, 1
Suppose -2*b = -2*b - b. Let z(i) be the second derivative of 3/2*i**2 + 1/4*i**4 + b + 3*i + i**3. Suppose z(u) = 0. Calculate u.
-1
Let x(s) be the first derivative of -s**8/420 - s**7/105 - s**6/90 + 2*s**3 + 3. Let i(j) be the third derivative of x(j). Factor i(v).
-4*v**2*(v + 1)**2
Let c(h) = -26*h. Let n be c(2). Let r = 158/3 + n. Factor r + 1/3*l - l**2.
-(l - 1)*(3*l + 2)/3
Suppose -2*t - 5*y = -4*t + 4, 4*t = -2*y + 8. Determine z, given that -1/2*z**t + 0 + 0*z = 0.
0
Factor -9*l**3 + 0*l**2 - 12*l**5 - 27*l**4 + 11*l**3 - 3*l**2 - 20*l**3.
-3*l**2*(l + 1)**2*(4*l + 1)
Let f be (-8 - 0)/(-4 - -3). Suppose -2*d - 2 + f = -h, h - 19 = -3*d. Factor -2 + h + 0 - 2*l**2 + 2*l - 2*l**3.
-2*(l - 1)*(l + 1)**2
Suppose 13*r = 28 + 50. Let d(l) be the third derivative of 0*l**3 + 1/6*l**5 + 4/15*l**r + 3*l**2 + 0 - 1/6*l**4 + 3/35*l**7 + 0*l. What is j in d(j) = 0?
-1, 0, 2/9
Let r(k) be the third derivative of -16/3*k**3 - 1/105*k**7 + 0 - 4/5*k**5 + 3*k**2 + 8/3*k**4 + 2/15*k**6 + 0*k. Factor r(j).
-2*(j - 2)**4
Let 2/11*a**2 + 0*a + 6/11*a**4 + 0 + 2/11*a**5 + 6/11*a**3 = 0. Calculate a.
-1, 0
Let v = 44 + 110. Let g = v + -1076/7. Factor 0*b + 0 + g*b**2 + 2/7*b**3 - 2/7*b**4 - 2/7*b**5.
-2*b**2*(b 