/4 + -1. Let x = 32 + z. Factor 0*t**3 - 1/4*t + 1/2*t**2 - x*t**4 + 0 + 1/4*t**5.
t*(t - 1)**3*(t + 1)/4
Let i be (-1)/(-5) - (-32 - -32). What is c in i*c**4 + 0 - 1/5*c**2 + 0*c - 1/5*c**5 + 1/5*c**3 = 0?
-1, 0, 1
Let u(s) be the first derivative of 13*s**3/3 + s + 3. Let y(d) = -6*d**2. Let j(o) = -3*u(o) - 7*y(o). Solve j(f) = 0 for f.
-1, 1
Let c(o) = -o**4 + o - 1. Let r(m) = 3*m**3 + 2*m**2 + m - 1. Let f(h) = -c(h) + r(h). Factor f(d).
d**2*(d + 1)*(d + 2)
Factor 11*o - 3*o + 0 + 4*o**2 + 0.
4*o*(o + 2)
Let t(u) be the third derivative of -u**5/600 - u**4/60 - 3*u**2. Factor t(q).
-q*(q + 4)/10
Suppose 0 + 1/3*u**3 + 2/3*u**2 - u = 0. What is u?
-3, 0, 1
Factor -20/3*f**2 - 2/3 + 2/3*f**5 + 20/3*f**3 - 10/3*f**4 + 10/3*f.
2*(f - 1)**5/3
Let h(k) be the third derivative of -k**7/165 + 3*k**6/220 + k**5/10 + k**4/12 - 2*k**3/11 + 3*k**2 - 17*k. Let h(l) = 0. Calculate l.
-1, 2/7, 3
Let q(i) be the first derivative of -i**8/840 - i**7/70 - 13*i**6/180 - i**5/5 - i**4/3 + i**3/3 - 1. Let t(r) be the third derivative of q(r). Factor t(c).
-2*(c + 1)**2*(c + 2)**2
Let g(d) = -2*d**2 - 18*d + 20. Let x be g(-10). Let i(l) be the second derivative of x*l**3 + 1/30*l**4 + 0 - 1/5*l**2 - 4*l. Let i(f) = 0. Calculate f.
-1, 1
Let z = 293/1015 + -3/1015. Factor -12/7*s**2 - 24/7*s - 16/7 - z*s**3.
-2*(s + 2)**3/7
Let g(s) be the first derivative of 2 + 1/48*s**4 + 1/8*s**2 + 1/12*s**3 - s. Let y(n) be the first derivative of g(n). Factor y(z).
(z + 1)**2/4
Let r be (-1030)/(-375) + (-4)/50. Let -4/3*f**3 + 2*f**4 + 2/3 + 4/3*f - r*f**2 = 0. What is f?
-1, -1/3, 1
Suppose 0 = -j + 5*n - 45, 3*j = -2*j - n - 147. Let l be (-2)/(-5)*j/(-18). Factor -l*x**3 + 1/3 + 0*x**2 - 1/3*x**4 + 2/3*x.
-(x - 1)*(x + 1)**3/3
Let a(r) be the first derivative of r**6/360 - r**5/60 - r**3 - 1. Let g(d) be the third derivative of a(d). What is l in g(l) = 0?
0, 2
Let q(f) = f**2 - 6*f + 2. Let u be q(3). Let s(a) = -5*a**2 + 3*a + 6. Let t(x) = 6*x**2 - 3*x - 7. Let h(r) = u*s(r) - 6*t(r). Factor h(c).
-c*(c + 3)
Let v(b) be the second derivative of -162*b**5/5 + 27*b**4 - 9*b**3 + 3*b**2/2 + 3*b. Determine q so that v(q) = 0.
1/6
Let u(j) be the second derivative of -j**6/80 - j**5/40 + 5*j**2/2 + 3*j. Let d(t) be the first derivative of u(t). Factor d(m).
-3*m**2*(m + 1)/2
Let q(r) be the third derivative of 0*r - 1/8*r**4 + r**3 + 2*r**2 + 0 - 1/20*r**5. Solve q(k) = 0 for k.
-2, 1
Let t(v) be the first derivative of -v**4/4 + 2*v**3/3 + v**2/2 - 2*v + 15. Factor t(g).
-(g - 2)*(g - 1)*(g + 1)
Let v be (-1)/(-6) - 46/(-12). Suppose v*q = -0*q + 28. Solve -q - r**2 - 2 + 8*r + r - 3*r = 0.
3
Let b = 54 + -51. Factor 0 + 8/7*o**4 + 10/7*o**b + 2/7*o**5 + 0*o + 4/7*o**2.
2*o**2*(o + 1)**2*(o + 2)/7
Let r(n) be the second derivative of -2*n**7/7 + 4*n**6/3 - 7*n**5/5 - 4*n**4/3 + 8*n**3/3 + 6*n. Suppose r(q) = 0. Calculate q.
-2/3, 0, 1, 2
Suppose 13 = -2*p - 1. Let q = p + 11. Factor -4*k**3 + k**q + k**3 - k + 4*k**3 - k**2.
k*(k - 1)*(k + 1)**2
Let c = -22/21 - -8/7. Let u(m) be the first derivative of 0*m - 1 + 1/14*m**4 + 0*m**2 - c*m**3. Factor u(g).
2*g**2*(g - 1)/7
Find o such that 1/3*o**4 + 0*o + 0 + 0*o**2 - 4/9*o**5 + 1/9*o**3 = 0.
-1/4, 0, 1
Let t = 5663/15 + -1132/3. Suppose t + 3/5*x - 4/5*x**2 = 0. What is x?
-1/4, 1
Suppose 0 = 5*j, 4 = r + 3*j - j. Solve -4*h**r - 4*h**3 - 14*h**4 + 20*h**4 + 2*h**2 = 0 for h.
0, 1
Let a be (-1)/(1*(-1)/5). Suppose -a*y + 12 = -t, -y + 0*y - 3*t = 4. Solve 1/2*r**y + 0*r - 1/2 = 0.
-1, 1
Let h be ((-60)/50)/(6/15) + 5. Factor 0 - 1/5*x**h + 1/5*x.
-x*(x - 1)/5
Let b(w) be the first derivative of -w**4/12 - 2*w**3/9 - w**2/6 + 13. Factor b(k).
-k*(k + 1)**2/3
Let l be 1*(6/(-3) - -4). Determine m, given that 2*m + 2 + 1 - 1 - 2*m**2 + l = 0.
-1, 2
Let f(m) be the first derivative of m**5/90 + m**4/18 + 2*m**2 + 6. Let s(q) be the second derivative of f(q). Solve s(r) = 0 for r.
-2, 0
Suppose 1 = u - n, 3*n + 0 = -3*u - 3. Let -2/3*p**5 + 2/3*p**3 + u - 2/3*p**4 + 0*p + 2/3*p**2 = 0. Calculate p.
-1, 0, 1
Let o(y) = -100*y**5 - 210*y**4 - 110*y**3 + 45*y - 45. Let w(p) = 9*p**5 + 19*p**4 + 10*p**3 - 4*p + 4. Let s(c) = -4*o(c) - 45*w(c). Factor s(r).
-5*r**3*(r + 1)*(r + 2)
Let t be 0 + 1 + 49/35. Factor -8/5*h**4 + 2/5*h**5 + t*h**3 + 2/5*h - 8/5*h**2 + 0.
2*h*(h - 1)**4/5
Let n(o) be the first derivative of -2/15*o**3 + 1 + 0*o + 0*o**2 + 2/25*o**5 - 1/10*o**4 + 1/15*o**6. Determine y, given that n(y) = 0.
-1, 0, 1
Suppose 2*p - 3*s + 11 = 0, 4*p + 19 = p + 5*s. Let o be (4/(-6))/((-6)/12). Suppose -10*j**3 - 14/3*j**5 - 2/3*j**p + 0 - 38/3*j**4 + o*j = 0. Calculate j.
-1, 0, 2/7
Let w = -43/20 - -12/5. Factor b**2 + w*b**3 + 1/2 + 5/4*b.
(b + 1)**2*(b + 2)/4
Let r(o) = o**2 - 16*o + 3. Let s be r(16). Let g be (-1)/1 - (-28)/8. Suppose 1 + g*a + 1/2*a**s + 2*a**2 = 0. What is a?
-2, -1
Let a(j) = 10*j**4 + 10*j**3 - 4*j**2 - 16*j + 16. Let x(m) = 3*m**4 + 3*m**3 - m**2 - 5*m + 5. Let h(p) = 5*a(p) - 16*x(p). Solve h(t) = 0 for t.
-2, 0, 1
Let v be 63/36*2/7. Let n(c) be the first derivative of 2*c + 2*c**3 - 3*c**2 + 2 - v*c**4. Factor n(o).
-2*(o - 1)**3
Let m(r) = 3*r**2 + r. Let u(p) = 4*p**2 + p. Suppose o = -0*o + 5*q - 11, 3*q - 25 = -4*o. Let l(w) = o*u(w) - 5*m(w). Factor l(a).
a*(a - 1)
Suppose -11*v + 13 = 2. Factor 3/2*n + 1/2*n**2 + v.
(n + 1)*(n + 2)/2
Let w be 3/(-21)*7/(-6). Let a(h) be the second derivative of w*h**4 + 0*h**2 + 0 + 2/27*h**3 + 3*h. Let a(d) = 0. What is d?
-2/9, 0
Let i(w) = w**2 + 13*w + 24. Let z be i(-11). Find s such that 1/3 + s + s**z + 1/3*s**3 = 0.
-1
Let q be -2 - -2*(-3 - -4) - -2. Factor 1/3*a**q + 0 + 2/3*a.
a*(a + 2)/3
Let j be 2 + -2 + 160/(-561). Let d = 4/51 - j. Factor d*o**4 - 2/11*o**5 + 2/11*o + 0*o**3 + 0 - 4/11*o**2.
-2*o*(o - 1)**3*(o + 1)/11
Let u be -4 + (-90)/(-27) - -8. Factor 4/3 + u*h + 25/6*h**3 + 35/3*h**2.
(h + 2)*(5*h + 2)**2/6
Let m(t) = -1 + 3*t - 1 + 0 - 5*t. Let n be m(-2). Factor -1/4*q**3 + 0*q**n + 0 + 1/4*q.
-q*(q - 1)*(q + 1)/4
Let f(k) = 18*k**5 - 26*k**4 - 46*k**3 - 62*k**2 + 28*k + 36. Let x(y) = 2*y**5 - 3*y**4 - 5*y**3 - 7*y**2 + 3*y + 4. Let d(m) = 6*f(m) - 52*x(m). Factor d(o).
4*(o - 2)*(o - 1)*(o + 1)**3
Let o(h) be the first derivative of -h**3/3 + h**2/2 - h - 3. Let w(a) = -3*a**2 + 3*a - 6. Let y(f) = -4*o(f) + w(f). Factor y(n).
(n - 2)*(n + 1)
Factor 25*r**2 - 80/3 + 40/3*r - 40/3*r**3 + 5/3*r**4.
5*(r - 4)**2*(r - 1)*(r + 1)/3
Suppose 4*r + 2*u - 1 = 21, 25 = 5*u. Suppose -r*o - 10 = -8*o. Determine p so that 0 - 3/4*p**3 - 1/4*p + 1/4*p**4 + 3/4*p**o = 0.
0, 1
Let j(k) = -k - 7. Let l be j(-9). Determine t, given that 2*t**5 - 10*t**4 + 2 - 4 + 10*t + 2*t**3 - 23*t**l + 3*t**2 + 18*t**3 = 0.
1
Solve -50/7*z**2 + 20/7*z - 2/7 = 0.
1/5
Suppose 2 = -4*w + 18. Let u = -2 + w. Find k, given that k**2 + 0*k**2 + 3*k**3 + 2*k**3 + k**u = 0.
-2/5, 0
Let j(u) = 4*u**3 + 7*u**2 - 3*u - 3. Let b(l) = -l**3 - l**2 + l + 1. Let x(f) = 6*b(f) + 2*j(f). Find o such that x(o) = 0.
-4, 0
Let g be (-4)/(-14) - 60/(-35). Suppose 15 = -g*q + 7*q. What is u in q*u - u - 4*u - u**2 = 0?
-2, 0
Let j(d) be the third derivative of 4*d**2 + 0*d**3 + 1/120*d**5 + 0*d - 1/480*d**6 + 0*d**4 + 0. Factor j(a).
-a**2*(a - 2)/4
Let u be 11/(-4) - 3/12. Let d = u - -7. Solve 1 - h**5 + 4*h**4 + h**d + 10*h**2 - 10*h**3 - 5*h + 0*h**5 = 0 for h.
1
Let v(t) be the second derivative of -1/70*t**5 - 2/7*t**2 - 2/21*t**4 - 5/21*t**3 + 0 + 2*t. Factor v(z).
-2*(z + 1)**2*(z + 2)/7
Let z(s) be the first derivative of -2*s**3/15 + s**2/2 - 2*s/5 - 8. Suppose z(m) = 0. Calculate m.
1/2, 2
Determine h, given that 0 - 1/5*h**2 + 3/5*h = 0.
0, 3
Let z be 21/(-14)*(-1 + -9). Let x = 15 - z. Factor x*y - 1/3*y**2 + 1/3.
-(y - 1)*(y + 1)/3
Let l be (-2)/(8*1) + (-126)/(-24). Find v, given that -1/4*v - 1/2*v**4 - 3/4*v**l + v**3 + 0 + 1/2*v**2 = 0.
-1, 0, 1/3, 1
Factor 15/2*u**2 + 21/2*u**3 + 0 + 9/2*u**4 + 3/2*u.
3*u*(u + 1)**2*(3*u + 1)/2
Let x be (-500)/(-275) + (-2)/(-11). Solve -3/4*h**4 - 3/4*h**3 + 0*h**x + 0*h + 0 = 0 for h.
-1, 0
Let t(f) be the first derivative of -f**4/22 + 2*f**3/33 + 13. Let t(v) = 0. What is v?
0, 1
Let h(j) be the second derivative of -j**5/5 - 2*j**4/3 + 8*j**3/3 + 16*j**2 + 14*j - 1. Factor h(r).
-4*(r - 2)*(r + 2)**2
Suppose -3*s = -