35*i - 19. Factor j(h).
-5*(h + 3)**3
Let n = 9 + -5. Suppose -5*l - 2*f = -2, 3 = -n*l + f + 2*f. Solve -6*r**4 + 16/3*r**2 + l - 8/3*r + 2*r**3 = 0.
-1, 0, 2/3
Suppose -5*z = 2*v + 4, 3 - 1 = -z. Let n(x) be the first derivative of 1/12*x**6 + 5/3*x**v + 5/4*x**4 + 2 + 1/2*x**5 + 1/2*x + 5/4*x**2. Solve n(j) = 0 for j.
-1
Suppose 5*w = v - 1, -3*w - 2 = -3*v + 1. What is s in 2/7*s**2 + w + 4/7*s - 2/7*s**3 = 0?
-1, 0, 2
Let p(v) be the second derivative of v**6/90 + v**5/6 + 25*v**4/36 + 7*v. Factor p(g).
g**2*(g + 5)**2/3
Let y(c) be the second derivative of c**8/112 + 2*c**7/105 + c**6/90 - 3*c**2/2 - c. Let n(j) be the first derivative of y(j). Suppose n(w) = 0. Calculate w.
-2/3, 0
Let m = 116 - 114. Determine h, given that m*h + 1/2*h**2 + 2 = 0.
-2
Let g(j) = -5*j**2 - 4*j - 3. Let w(q) = 13*q**3 - 7*q + 5*q**2 + 0 - 12*q**3 - 14*q**2 - 5. Let i(z) = 10*g(z) - 6*w(z). Factor i(r).
-2*r*(r - 1)*(3*r + 1)
Let w = -20 + 23. Suppose -4 = -w*y + 11. Find z such that 0*z - 1/5*z**2 - 3/5*z**4 - 3/5*z**3 - 1/5*z**y + 0 = 0.
-1, 0
Let d(g) be the third derivative of -g**8/2520 + g**7/1575 + g**6/300 - g**5/450 - g**4/90 + 4*g**2. What is y in d(y) = 0?
-1, 0, 1, 2
Let u(i) be the first derivative of -i**4/36 - i**3/9 + i**2/2 - 6*i + 2. Let x(z) be the first derivative of u(z). Factor x(d).
-(d - 1)*(d + 3)/3
Suppose c + 2*s = 8, -2*s - 2 + 4 = -2*c. Let r be (0 + -28)*1/(-6). Let 4/3*i + 0 + r*i**c + 10/3*i**3 = 0. What is i?
-1, -2/5, 0
Let 1/4*b**2 - 1/2*b + 0 = 0. Calculate b.
0, 2
Let y(t) be the third derivative of -t**8/756 - 4*t**7/945 + t**6/270 + 2*t**5/135 + 10*t**2. Solve y(l) = 0 for l.
-2, -1, 0, 1
Suppose -4*r - a = -3*r + 4, 4*r = 4*a + 16. Determine d, given that r + 0*d - 6/5*d**5 + 2/5*d**3 + 4/5*d**4 + 0*d**2 = 0.
-1/3, 0, 1
Let a = 10327/1964 + -4/491. Let 3/4*p**5 + 15/4*p**4 + 0 + 3/2*p + a*p**2 + 27/4*p**3 = 0. What is p?
-2, -1, 0
Let b(z) be the first derivative of 2/3*z**3 - 1 + 0*z + 0*z**2 + 1/120*z**5 + 1/360*z**6 + 0*z**4. Let a(y) be the third derivative of b(y). Factor a(u).
u*(u + 1)
Let u be (-4)/(-66)*(-1 - -4). Let o = u + 16/33. Factor 0 + 2/3*w**2 - o*w.
2*w*(w - 1)/3
Suppose 5*r - 15 - 10 = 0. Factor -18 + 3*b**3 - 15*b**2 - r*b**2 - 39*b - 5*b**3 - b**3.
-(b + 3)**2*(3*b + 2)
Suppose n + n = -5*s + 4, 0 = 5*s. Suppose 2*k - 9*k + 10*k = 0. Factor -2/3*h + k - 4/3*h**n - 2/3*h**3.
-2*h*(h + 1)**2/3
Let z(s) = s**2 + 3*s + 6. Let r be z(-5). Let a be (0 + 4/r)*1. Find j, given that 3/4*j**2 + a - 3/4*j - 1/4*j**3 = 0.
1
Let m(j) = 2. Let k(l) = -3*l - l**2 - 5 + 0*l**2 + 2*l. Let u(i) = 2*k(i) + 7*m(i). Find p, given that u(p) = 0.
-2, 1
Suppose -4/5*t**2 + 1/5*t**3 + t - 2/5 = 0. Calculate t.
1, 2
Suppose 130 = 2*w - 176. Let m = -1069/7 + w. Factor 0 + m*r**2 - 2/7*r.
2*r*(r - 1)/7
Let o(p) be the first derivative of 2/5*p**5 + 0*p**3 + 4/15*p**6 + 0*p**2 + 0*p + 4 + 1/10*p**4. Factor o(h).
2*h**3*(h + 1)*(4*h + 1)/5
Let w = -35 - -20. Let v be ((-1)/9)/(5/w). Find a such that a**4 + 0 - v*a - a**2 + 1/3*a**3 = 0.
-1, -1/3, 0, 1
Let u + 1/3*u**3 + 1/3 + u**2 = 0. Calculate u.
-1
Factor -1/2*y**4 + 1/4*y**5 - 1/4*y + 0 + 1/2*y**2 + 0*y**3.
y*(y - 1)**3*(y + 1)/4
Suppose 0 = -2*f - 2*y, -4*y = -4*f + 14 + 18. Suppose 0 = -2*r + i + 5, -3*i + 6*i - 6 = -r. Let 5*l**3 - 4*l**3 + l**r - l**2 - l**f = 0. Calculate l.
0, 1
Find t such that -2*t**3 + 6*t**3 + 2*t**3 + 21*t**4 = 0.
-2/7, 0
Suppose 1 = 3*x - 5. Factor 0*r + 1/2 - 1/2*r**x.
-(r - 1)*(r + 1)/2
Let f = -93 - -839/9. Let -4/9 - 2/9*r**4 + f*r**3 - 2/9*r + 2/3*r**2 = 0. Calculate r.
-1, 1, 2
Let k(h) be the second derivative of -8*h**7/63 + 4*h**6/15 + h**5/4 + h**4/18 + h. Factor k(t).
-t**2*(t - 2)*(4*t + 1)**2/3
Let g(y) be the third derivative of -y**5/30 - y**4/6 - y**3/3 + 9*y**2. Factor g(c).
-2*(c + 1)**2
Let u(k) be the first derivative of -k**4/5 + 27. Factor u(c).
-4*c**3/5
Let q(x) be the third derivative of 0 + 1/390*x**5 + 1/156*x**4 - 2/39*x**3 + 9*x**2 + 0*x. Factor q(r).
2*(r - 1)*(r + 2)/13
Let b be (24/15)/(1/5). Find j such that -b*j - 8 - 4 + 10*j**2 + 4 + 6*j**3 = 0.
-2, -2/3, 1
Let j(c) be the first derivative of c**5/30 + c**4/36 - 2*c**3/9 + 3*c**2 - 5. Let w(q) be the second derivative of j(q). Let w(z) = 0. What is z?
-1, 2/3
Let x(v) = 4*v**3 + 2*v**2 + 4*v. Let n(p) be the third derivative of p**6/120 + 2*p**2. Let o(f) = -6*n(f) + x(f). Let o(z) = 0. Calculate z.
-1, 0, 2
Suppose 0 = -4*x + 12, -d = -2*d - 3*x + 11. Let k = -4 + 6. Factor -k*h**2 + 0*h**2 + 1 + h**d.
-(h - 1)*(h + 1)
Let x = -20 - -34. Let o = -12 + x. Factor 1/2*g**3 + 0 - g**o + 0*g.
g**2*(g - 2)/2
Suppose -3*u = -q + 3*q - 24, 5*u + 12 = q. Factor 11*h**3 - 27*h**5 - 14*h**2 - q*h + 20*h**3 + 2*h**3 + 18*h**4 + 2*h**2.
-3*h*(h - 1)**2*(3*h + 2)**2
Let q(j) = 2*j**5 - 7*j**4 + j**2 - 5*j. Let o(n) = -10*n**5 + 34*n**4 - 6*n**2 + 24*n. Let l(z) = -3*o(z) - 14*q(z). Factor l(d).
2*d*(d - 1)**3*(d + 1)
Let k = 9030358/189 - 47780. Let v = 22/27 - k. Factor -6/7*j**2 + v - 8/7*j.
-2*(j + 2)*(3*j - 2)/7
Let q be 3 + -6 + 3 + 4. Let p(g) be the third derivative of 0 - 3/70*g**5 + 0*g + g**2 - 1/84*g**6 - 1/735*g**7 - 1/12*g**q - 2/21*g**3. Factor p(i).
-2*(i + 1)**3*(i + 2)/7
Let p(f) = -f - 26. Let i be p(-30). Suppose 0*u**2 - 2/5*u**i + 4/5*u**3 - 4/5*u + 2/5 = 0. What is u?
-1, 1
Let r(m) be the first derivative of 3*m**5/10 + 3*m**4/4 - 6*m**3 + 21*m**2/2 - 15*m/2 - 9. Determine u, given that r(u) = 0.
-5, 1
Determine l so that -8/3*l**3 + 10/3 + 50/3*l**2 - 52/3*l = 0.
1/4, 1, 5
Let -4*b**4 + 2*b**3 - b**4 + 4*b**4 - b**2 = 0. Calculate b.
0, 1
Factor 10*r - 4*r**4 + 9*r - 4*r**3 + 16*r**2 - 3*r.
-4*r*(r - 2)*(r + 1)*(r + 2)
Let q(j) = j**3 + j**2 - j - 4. Let x be q(0). Let w be 2/(-4)*x - 0. Find u such that -1/2*u - 5/2*u**3 + 3*u**w + 0 = 0.
0, 1/5, 1
Let l(z) = 3*z**4 + 21*z**3 + 45*z**2 + 24*z - 3. Let j(u) = -3*u**4 - 21*u**3 - 45*u**2 - 25*u + 2. Let g(v) = -3*j(v) - 2*l(v). Factor g(d).
3*d*(d + 1)*(d + 3)**2
Let -1/6*p**5 + 0*p + 0*p**2 + 0 + 5/6*p**3 + 2/3*p**4 = 0. Calculate p.
-1, 0, 5
Determine i so that -2/11*i - 2/11*i**2 + 0 = 0.
-1, 0
Let f(c) be the first derivative of 2*c**3/3 - 2*c**2 - 6*c - 9. Determine w so that f(w) = 0.
-1, 3
Factor 7/2*t**4 + 3/2*t**5 + t**3 + 0*t**2 + 0 + 0*t.
t**3*(t + 2)*(3*t + 1)/2
Let c(o) be the first derivative of -1/11*o**2 + 3 + 1/22*o**4 + 0*o + 0*o**3. Factor c(v).
2*v*(v - 1)*(v + 1)/11
Let u = -13 - -27. Suppose -3*x - 5*h + 16 = 0, -5*h = 4 - u. Factor i**x - 1/2*i - 1/2*i**3 + 0.
-i*(i - 1)**2/2
Let a(p) be the second derivative of 1/105*p**7 + 1/30*p**4 + 0*p**3 - 1/75*p**6 - 3*p + 0 - 1/50*p**5 + 0*p**2. Factor a(r).
2*r**2*(r - 1)**2*(r + 1)/5
Factor 1/2*z**4 + z - z**3 - 2*z**2 + 3/2.
(z - 3)*(z - 1)*(z + 1)**2/2
Let l(i) = -4*i + 4. Let d be l(1). Let t(o) be the second derivative of -1/30*o**5 + 1/6*o**2 + 1/9*o**3 + o + 0 + d*o**4 - 1/90*o**6. Solve t(j) = 0 for j.
-1, 1
Let q(r) be the first derivative of 3*r**4/4 + 11*r**3/3 + 5*r**2/2 - 3*r - 6. Let t(g) = -3*g**3 - 11*g**2 - 5*g + 3. Let n(u) = -3*q(u) - 2*t(u). Factor n(z).
-(z + 1)*(z + 3)*(3*z - 1)
Let q(b) be the third derivative of -b**7/2520 + b**6/480 - b**5/240 + b**4/3 - 7*b**2. Let v(p) be the second derivative of q(p). Factor v(j).
-(j - 1)*(2*j - 1)/2
Let c(t) be the third derivative of t**8/336 - t**7/210 + t**2. Factor c(j).
j**4*(j - 1)
Suppose -27/2 + 9*n - 3/2*n**2 = 0. What is n?
3
What is a in -106*a**3 - 60*a - 20 - 15*a**2 - 106*a**3 + 237*a**3 = 0?
-1, -2/5, 2
Let l = 121 + -118. What is b in 4/3*b - 1/3*b**2 - 4/3*b**l + 1/3 = 0?
-1, -1/4, 1
Let b(f) be the third derivative of f**8/2240 - f**7/840 + f**4/24 + 4*f**2. Let j(g) be the second derivative of b(g). Solve j(u) = 0.
0, 1
Determine x, given that -x - 5*x - 3*x**3 + 9*x = 0.
-1, 0, 1
Let r(y) be the first derivative of -4*y - 5*y**2 - 8/3*y**3 - 6 - 1/2*y**4. Solve r(u) = 0.
-2, -1
Let k(x) = x**3 - 10*x**2 + 10*x - 9. Let q be k(9). Factor 2/3 + 0*v + q*v**3 - 4/3*v**2 + 2/3*v**4.
2*(v - 1)**2*(v + 1)**2/3
Let j(l) = l**2 - l - 2. Let k(u) = u**2 - u - 2. Let b = 9 + -6. Let w(i) = b*k(i) - 4*j(i). Factor w(x).
-(x - 2)*(x + 1)
Determine p, given that -1/3*p**2 + 1/3*p + 0 = 0.
0, 1
Let c(b) be the third derivative of 19/600*b**6 - 1/20*b**5 + 0*b 