
Let z be 3/(-36)*(-13 + -8). Factor -5/4*t**3 - 1/2*t + 0 + z*t**2.
-t*(t - 1)*(5*t - 2)/4
Suppose 6*a + u - 24 = a, 2*a - 2*u = 12. Let 2/11*h**a + 2/11*h**3 - 4/11*h**4 + 0 + 0*h**2 + 0*h = 0. Calculate h.
0, 1
Suppose 1/3*i**3 + 1/3*i**2 + 0 - 1/3*i**4 - 1/3*i**5 + 0*i = 0. Calculate i.
-1, 0, 1
Let m be -3 + (10/2 - 2). Suppose m = -2*o + 4. Factor -o*i**2 + 0 + 0*i + 8*i**3 - 25/2*i**5 - 5/2*i**4.
-i**2*(i + 1)*(5*i - 2)**2/2
Let z(n) be the third derivative of -n**5/60 + n**4/8 - n**3/3 + 3*n**2. What is v in z(v) = 0?
1, 2
Suppose 4*u - g - 1 = 4, u - 4*g = -10. Suppose 9 = -3*f + u*t + 25, 4*f - 5*t = 33. Suppose 2*z - 4 - f*z**3 + 4 = 0. Calculate z.
-1, 0, 1
Let y be (-90)/(-54)*(-4)/(-10). What is t in -y + 2/3*t**4 + 4/3*t + 0*t**2 - 4/3*t**3 = 0?
-1, 1
Factor 1/3 + 0*h - 1/3*h**2.
-(h - 1)*(h + 1)/3
Let p = 47 + -185/4. Determine d so that -p*d - 1/4*d**3 + 3/4*d**2 + 1/4 = 0.
1
Determine y, given that 10*y**3 + 0 + 2*y**5 + 2*y - 14*y**3 - 4*y**2 + 2 + 2*y**4 = 0.
-1, 1
Let -3/5*l**4 + 9/5*l**2 - 12/5 - 12/5*l + 6/5*l**3 = 0. Calculate l.
-1, 2
Let -f**2 - 1/2*f + 4*f**3 + 0 = 0. What is f?
-1/4, 0, 1/2
Let t be (-1)/(-3) + 1034/(-24). Let k = 43 + t. Factor 1/4*i**2 + k - 1/2*i.
(i - 1)**2/4
Let p be 48/27 + (-6)/(-27). Let j(s) = -s**2 + s - 1. Let k(g) = -7*g + 3*g**2 - g**2 + 10*g**2 + 15. Let y(a) = p*k(a) + 22*j(a). Let y(x) = 0. What is x?
-2
Let r be (-3)/((-7)/(-2) - 2). Let z be 3/9 - r/6. Factor -4/3 + 2*h - z*h**2.
-2*(h - 2)*(h - 1)/3
Let n(u) = -8*u**2 - 6*u + 6. Let p be n(6). Let r = p + 1596/5. Factor 0 - 2/5*l - r*l**3 - 8/5*l**2.
-2*l*(l + 1)*(3*l + 1)/5
Let l be 2/(-4) - (-73)/(-4). Let q = 19 + l. Solve 0*d + 0 - q*d**2 = 0 for d.
0
Let u(r) = -r**2 + 7*r + 2. Let m be u(7). Find d, given that -12 + 10*d**3 + d**2 - 24*d - 4*d**2 - 3*d**m + 4 = 0.
-1, -2/5, 2
Let j(x) be the second derivative of x**7/840 + x**6/120 + x**4/4 - 5*x. Let f(q) be the third derivative of j(q). Factor f(b).
3*b*(b + 2)
Let d(n) be the first derivative of 2*n**5/25 - 2*n**4/5 + 4*n**3/15 + 4*n**2/5 - 6*n/5 + 3. Factor d(o).
2*(o - 3)*(o - 1)**2*(o + 1)/5
Factor 2/5*c**2 + 0 + 2/5*c - 2/5*c**4 - 2/5*c**3.
-2*c*(c - 1)*(c + 1)**2/5
Let a be (-4)/((24/(-18))/1). Determine q so that 3/2*q**a + 3/2*q**2 + 0 + 0*q = 0.
-1, 0
Suppose -4*m = -m. Suppose m*b = -2*b. Factor 2/3*k**2 + 2/3*k + b - 2/3*k**3 - 2/3*k**4.
-2*k*(k - 1)*(k + 1)**2/3
Suppose -2 = 2*g - 10. Suppose 6*h**3 + h**2 + 5*h**3 - 7*h**3 + 5*h**g + 2*h**5 = 0. Calculate h.
-1, -1/2, 0
Let x(i) = 4*i**2 - 18*i + 30. Let f(q) = -q**2 + q + 1. Let c(p) = 2*f(p) + x(p). Solve c(o) = 0 for o.
4
Let v = -19 + 19. Suppose 3*m = 9 - v. Factor 2/3*z**2 + 2/3*z**m + 0 + 0*z.
2*z**2*(z + 1)/3
Let q be ((-2)/(-14))/(4/8). Find j such that -q*j**4 + 4/7*j**2 - 2/7*j**3 + 0*j + 0 = 0.
-2, 0, 1
Let l(g) be the first derivative of 1/14*g**4 + 8/7*g**2 + 8/7*g - 4 + 10/21*g**3. Factor l(s).
2*(s + 1)*(s + 2)**2/7
Factor 8/3*a - 4/3*a**2 + 4.
-4*(a - 3)*(a + 1)/3
Let m(z) = -z**2 + z - 1. Let j(d) = 3*d**2 - 7*d + 9. Let o(c) = j(c) + 5*m(c). Let o(n) = 0. What is n?
-2, 1
Let t = 5 + -4. Let l = t - 1. Factor -2*q + l*q**2 - 29*q**4 + 2*q**5 + 4*q**2 + 25*q**4.
2*q*(q - 1)**3*(q + 1)
Let m(w) = -6*w**2 + 18*w - 12. Let i(v) = -v + 1. Let t be (-6)/4 + 21/2. Let z be i(t). Let f(h) = 4*h**2 - 12*h + 8. Let p(d) = z*f(d) - 5*m(d). Factor p(o).
-2*(o - 2)*(o - 1)
Let g(l) be the second derivative of 1/30*l**5 + 0*l**4 + 1/6*l**2 - 1/9*l**3 - 1/90*l**6 + 0 + 2*l. Let g(z) = 0. What is z?
-1, 1
Let m(r) = r**5 - r**4 + r**2. Let w(o) = -2*o**4 + o**3 + 2*o**2. Let z = 16 + -13. Let q(p) = z*w(p) - 3*m(p). Suppose q(t) = 0. Calculate t.
-1, 0, 1
Let b be 1/(-3) - 40/(-12). Factor 6*r**5 - 8*r**4 + r**3 - r**3 + 2*r**b.
2*r**3*(r - 1)*(3*r - 1)
Let v be 5/6 + 2/3. Let i = 40 - 77/2. Solve 3/4*p**5 - i*p**2 - v*p**3 + 3/4 + 3/4*p**4 + 3/4*p = 0.
-1, 1
Let g(f) = 3*f**2 + 2*f - 5. Let l(y) = 4*y**2 + 3*y - 6. Let h(q) = -5*g(q) + 4*l(q). Suppose h(p) = 0. Calculate p.
-1
Let 1/4*w**3 + 0*w + 0 + 1/2*w**2 = 0. Calculate w.
-2, 0
Let g(t) = -2*t**4 + 6*t + 2*t**2 + 0*t**4 + 0*t**3 + 2*t**3. Let j(z) = z**4 + z**3 + z**2 - z. Let m(d) = g(d) + 4*j(d). Factor m(w).
2*w*(w + 1)**3
Let d(z) be the third derivative of -z**7/840 + z**6/360 - 7*z**4/24 + z**2. Let g(p) be the second derivative of d(p). What is u in g(u) = 0?
0, 2/3
Factor 2/7*v**2 - 2/7*v**3 + 0*v + 0.
-2*v**2*(v - 1)/7
Let o(d) be the second derivative of d**5/50 - d**4/30 - 2*d**3/15 - 4*d. Suppose o(j) = 0. What is j?
-1, 0, 2
Let b = -244/3 - -82. Determine g so that 10/3*g + b*g**3 - 4/3 - 8/3*g**2 = 0.
1, 2
Let d(n) be the second derivative of n**9/12096 + n**8/6720 - n**7/1680 - n**3/2 + 2*n. Let s(z) be the second derivative of d(z). Find g such that s(g) = 0.
-2, 0, 1
Let g = -45212/47 - -962. Let d = 41/141 + g. Find l such that -1/3*l**5 - d*l + 2/3*l**3 + 1/3*l**4 + 1/3 - 2/3*l**2 = 0.
-1, 1
Let d be 6/(-21) + 16/7. Let b(i) = i**2 - 5*i - 3. Let a be b(6). Factor -16*w**a + 4*w**3 + 9*w**d - 6*w**3 + 3*w**2 + 40*w + 16.
-2*(w - 2)*(3*w + 2)**2
Let u(v) be the second derivative of -4/7*v**2 + 0 - v - 1/42*v**4 + 4/21*v**3. Factor u(d).
-2*(d - 2)**2/7
Let j = 86 + -81. Let x(z) be the third derivative of z**2 + 0*z + 1/20*z**6 - 1/6*z**4 + 0*z**3 + 1/30*z**j + 0. Factor x(m).
2*m*(m + 1)*(3*m - 2)
Let h be (0 - -3)*2 + -4. Suppose 18 = 4*k + 5*y, 3*k - h*y + 2 = 2*k. Suppose -2/7*b - 6/7*b**k - 2/7*b**4 - 6/7*b**3 + 0 = 0. What is b?
-1, 0
Let m = -120 + 362/3. Solve -2*j**3 - m*j**2 + 8/9 + 16/9*j = 0 for j.
-2/3, 1
Let q(g) = -g**3 + g**2 - g - 1. Let m be q(-1). Let l(a) be the first derivative of 2*a + 0*a**m - 1/2*a**3 + 1 - 1/8*a**4. Determine p so that l(p) = 0.
-2, 1
Let w be (-2)/18 - 5/(-45). Solve 0*i**2 + 0 + w*i - 1/4*i**4 + 1/2*i**3 = 0.
0, 2
Let j(g) be the first derivative of g**5/30 - g**4/24 + 5. Determine s so that j(s) = 0.
0, 1
Factor 2*w**3 - 5*w + w**3 + 7*w**2 + 2*w**3 - 5 - 2*w**2.
5*(w - 1)*(w + 1)**2
Suppose 0*n = 5*n - 15. Factor 5*k**4 - 2*k**3 - 4*k**4 + k**n.
k**3*(k - 1)
Let o = -3/2 - -11/6. Factor o + 2/3*l + 1/3*l**2.
(l + 1)**2/3
Let m(f) be the second derivative of 3/40*f**5 + 0 + 3/8*f**2 - 1/56*f**7 - 3*f - 1/8*f**4 - 1/8*f**3 + 1/40*f**6. Find o such that m(o) = 0.
-1, 1
Let k(x) = 2*x**2 - 8*x + 3. Let i(z) = 2*z**2 - 8*z + 4. Let u(w) = 5*i(w) - 4*k(w). Let u(t) = 0. Calculate t.
2
Let q(o) be the first derivative of 0*o + 0*o**3 - 5 + 0*o**2 + 6/5*o**5 + 3/4*o**4. Factor q(v).
3*v**3*(2*v + 1)
Suppose -3*p - 3*m - 12 = 0, 4 = -2*p + 5*p - m. Let n(t) = t**3 + 4*t**2 + 3*t. Let f be n(-3). Factor p*i + 4/5*i**3 + 2/5*i**2 + 2/5*i**4 + f.
2*i**2*(i + 1)**2/5
Let f(q) be the third derivative of 0*q + 0*q**5 + 1/120*q**6 + 0*q**3 + 0 - 1/24*q**4 - 3*q**2. Factor f(o).
o*(o - 1)*(o + 1)
Let l(n) be the first derivative of 3*n**5/35 - 3*n**4/28 - 6*n**3/7 + 6*n**2/7 + 24*n/7 - 7. Let l(y) = 0. What is y?
-2, -1, 2
Let n(o) be the first derivative of -o**6/60 + o**5/10 - o**4/6 + o**2/2 - 2. Let r(q) be the second derivative of n(q). Solve r(g) = 0.
0, 1, 2
Let y(n) be the first derivative of -n**4/20 + 3*n**3/5 - 12*n**2/5 + 16*n/5 - 4. Factor y(b).
-(b - 4)**2*(b - 1)/5
Let d(m) = -m**2. Let o(l) = -21*l + 9*l + 6*l**2 + 3*l**2 + 12. Let t(h) = 6*d(h) + o(h). Factor t(g).
3*(g - 2)**2
Factor 8/7 + 12/7*n - 20/7*n**2.
-4*(n - 1)*(5*n + 2)/7
Suppose 7 = -2*o - 4*y + 25, 3*o + 2*y - 15 = 0. Factor 12 + 0*a**4 + o*a**5 - a**4 - 2*a**4 + 3*a**2 + 15*a**3 - 24*a - 6*a**5.
-3*(a - 1)**3*(a + 2)**2
Let k(l) be the first derivative of -l**4/4 - l**3 - 3*l**2/2 - l + 6. Factor k(y).
-(y + 1)**3
Let c be (-32)/(-168)*9/6. Factor 2/7*t**2 + 0*t - c.
2*(t - 1)*(t + 1)/7
Let 14/3*s**2 - 14/3*s - 8/9*s**3 + 8/9 = 0. What is s?
1/4, 1, 4
Solve 675/2 + 3/2*p**2 - 45*p = 0 for p.
15
Factor 21/4*o**2 + 15/4*o**4 - 27/4*o**3 - 3/2*o + 0 - 3/4*o**5.
-3*o*(o - 2)*(o - 1)**3/4
Let b(k) = k**2 - 5*k - 22. Let t be b(8). Factor 3/2*i**3 - 1/2*i**4 - 1/2*i**5 + 0 + 5/2*i**t + i.
-i*(i - 2)*(i + 1)**3/2
Suppose 0 = -b - b + 4. Let m = -22/15 + 9/5. Find v such that 2/3 - v + m*v**b = 0.
1, 2
Let a(v) be the second derivative of 1/9*v**3 + 4*v + 1/18*v**4 - 1/3*v**2 - 1/30*v**5 + 0. Factor a(m).
-2*(m - 1)**2*(m + 1